-
Notifications
You must be signed in to change notification settings - Fork 0
/
predicting-a-building-s-energy-efficiency.r
1 lines (1 loc) · 860 KB
/
predicting-a-building-s-energy-efficiency.r
1
{"cells":[{"source":"<a href=\"https://www.kaggle.com/code/jarredpriester/predicting-a-building-s-energy-efficiency?scriptVersionId=92409375\" target=\"_blank\"><img align=\"left\" alt=\"Kaggle\" title=\"Open in Kaggle\" src=\"https://kaggle.com/static/images/open-in-kaggle.svg\"></a>","metadata":{},"cell_type":"markdown","outputs":[],"execution_count":0},{"cell_type":"markdown","id":"270f47dc","metadata":{"_execution_state":"idle","_uuid":"051d70d956493feee0c6d64651c6a088724dca2a","papermill":{"duration":0.251464,"end_time":"2022-04-08T01:52:55.735914","exception":false,"start_time":"2022-04-08T01:52:55.48445","status":"completed"},"tags":[]},"source":["# Predicting a Building's Energy Efficiency\n","## Jarred Priester\n","### 2/5/2022"]},{"cell_type":"markdown","id":"f3be0b19","metadata":{"papermill":{"duration":0.25045,"end_time":"2022-04-08T01:52:56.235107","exception":false,"start_time":"2022-04-08T01:52:55.984657","status":"completed"},"tags":[]},"source":["1. Introduction\n"," + 1.1 Overview of the problem\n"," + 1.2 description of the dataset\n"," + 1.3 goal of the project\n"," + 1.4 plan of action\n","\n","2. Data Cleaning\n"," + 2.1 downloading the data\n"," + 2.2 cleaning NAs\n"," + 2.3 cleaning black observations\n"," + 2.4 scaling the data set\n"," \n","3. Data Visualization\n","\n","4. Models\n"," + 4.1 train and test sets\n"," + 4.2 linear regression\n"," + 4.3 ridge regression\n"," + 4.4 random forest\n"," + 4.5 ensemble \n"," \n","5. Results\n"," + 5.1 table of results\n"," + 5.2 plot of results\n"," + 5.3 brief thoughts on results\n","\n","6. Conclusion\n"," + 6.1 summary\n"," + 6.2 limitations\n"," + 6.3 next steps"]},{"cell_type":"markdown","id":"7856953b","metadata":{"papermill":{"duration":0.250204,"end_time":"2022-04-08T01:52:56.735516","exception":false,"start_time":"2022-04-08T01:52:56.485312","status":"completed"},"tags":[]},"source":["# 1. Introduction\n","\n","## 1.1 overview of the problem\n","\n","With record high and low temperatures across the globe, it is becoming increasing important to be efficient when it comes to heating and cooling our buildings. Whether you are trying to reduce the cost of your energy bill or you're trying to reduce your carbon footprint, improving the energy efficacy of your building can both save you some money and even help the environment. We will be looking at a data set that can help us with both! \n","\n","## 1.2 description of the data set\n","\n","This data set we will be using is from the University of California, Irvine Machine Learning Repository.\n","\n","The following is UCI's information on the data set:\n","\n","*Source:*\n","\n","*The dataset was created by Angeliki Xifara (Civil/Structural Engineer) and was processed by Athanasios Tsanas (Oxford Centre for Industrial and Applied Mathematics, University of Oxford, UK).*\n","\n","\n","*Data Set Information:*\n","\n","*We perform energy analysis using 12 different building shapes simulated in Ecotect. The buildings differ with respect to the glazing area, the glazing area distribution, and the orientation, amongst other parameters. We simulate various settings as functions of the afore-mentioned characteristics to obtain 768 building shapes. The dataset comprises 768 samples and 8 features, aiming to predict two real valued responses. It can also be used as a multi-class classification problem if the response is rounded to the nearest integer.*\n","\n","\n","*Attribute Information:*\n","\n","*The dataset contains eight attributes (or features, denoted by X1...X8) and two responses (or outcomes, denoted by y1 and y2). The aim is to use the eight features to predict each of the two responses.*\n","\n","*Specifically:*\n","\n","*X1 Relative Compactness*\n","\n","*X2 Surface Area*\n","\n","*X3 Wall Area*\n","\n","*X4 Roof Area*\n","\n","*X5 Overall Height*\n","\n","*X6 Orientation*\n","\n","*X7 Glazing Area*\n","\n","*X8 Glazing Area Distribution*\n","\n","*y1 Heating Load*\n","\n","*y2 Cooling Load*\n","\n","https://archive.ics.uci.edu/ml/datasets/Energy+efficiency\n","\n","## 1.3 goal of the project\n","\n","The goal of this project is to create multiple regression models that come up with predictions for both the heating and cooling load. We will take the best performing model.\n","\n","## 1.4 plan of action\n","\n","We will download and cleaning the data. We will use visualization tools to get a better understanding of the data that we are working with. THen we will be create the following regression models: *linear regression*, *ridge regression*, *random forest*, *ensemble*. The models will be evaluated by using the Root Mean Squared Error (RMSE)\n","\n","RMSE = $$\\sqrt{\\frac{1}{n}\\sum_{u,i}=(\\hat{y}_{u,i}-y_{u,i})^2}$$\n","\n","Finally, we will create a results table of the models and evaluate the results"]},{"cell_type":"markdown","id":"7ff52be2","metadata":{"papermill":{"duration":0.252814,"end_time":"2022-04-08T01:52:57.236245","exception":false,"start_time":"2022-04-08T01:52:56.983431","status":"completed"},"tags":[]},"source":["# 2. Data Cleaning\n","\n","## 2.1 downloading the data"]},{"cell_type":"code","execution_count":1,"id":"becec286","metadata":{"_kg_hide-output":true,"execution":{"iopub.execute_input":"2022-04-08T01:52:57.742329Z","iopub.status.busy":"2022-04-08T01:52:57.738895Z","iopub.status.idle":"2022-04-08T01:53:01.365841Z","shell.execute_reply":"2022-04-08T01:53:01.364388Z"},"papermill":{"duration":3.879809,"end_time":"2022-04-08T01:53:01.366072","exception":false,"start_time":"2022-04-08T01:52:57.486263","status":"completed"},"tags":[]},"outputs":[{"name":"stderr","output_type":"stream","text":["── \u001b[1mAttaching packages\u001b[22m ─────────────────────────────────────── tidyverse 1.3.1 ──\n","\n","\u001b[32m✔\u001b[39m \u001b[34mggplot2\u001b[39m 3.3.5 \u001b[32m✔\u001b[39m \u001b[34mpurrr \u001b[39m 0.3.4\n","\u001b[32m✔\u001b[39m \u001b[34mtibble \u001b[39m 3.1.5 \u001b[32m✔\u001b[39m \u001b[34mdplyr \u001b[39m 1.0.7\n","\u001b[32m✔\u001b[39m \u001b[34mtidyr \u001b[39m 1.1.4 \u001b[32m✔\u001b[39m \u001b[34mstringr\u001b[39m 1.4.0\n","\u001b[32m✔\u001b[39m \u001b[34mreadr \u001b[39m 2.0.2 \u001b[32m✔\u001b[39m \u001b[34mforcats\u001b[39m 0.5.1\n","\n","── \u001b[1mConflicts\u001b[22m ────────────────────────────────────────── tidyverse_conflicts() ──\n","\u001b[31m✖\u001b[39m \u001b[34mdplyr\u001b[39m::\u001b[32mfilter()\u001b[39m masks \u001b[34mstats\u001b[39m::filter()\n","\u001b[31m✖\u001b[39m \u001b[34mdplyr\u001b[39m::\u001b[32mlag()\u001b[39m masks \u001b[34mstats\u001b[39m::lag()\n","\n","Loading required package: lattice\n","\n","\n","Attaching package: ‘caret’\n","\n","\n","The following object is masked from ‘package:purrr’:\n","\n"," lift\n","\n","\n","The following object is masked from ‘package:httr’:\n","\n"," progress\n","\n","\n","Loading required package: lars\n","\n","Loaded lars 1.2\n","\n","\n","\n","Attaching package: ‘matrixStats’\n","\n","\n","The following object is masked from ‘package:dplyr’:\n","\n"," count\n","\n","\n"]}],"source":["#loading libraries\n","library(tidyverse)\n","library(dplyr)\n","library(ggplot2)\n","library(ggthemes)\n","library(caret)\n","library(elasticnet)\n","library(knitr)\n","library(matrixStats)\n","\n","#loading the data\n","energy <- read.csv(\"../input/eergy-efficiency-dataset/ENB2012_data.csv\")"]},{"cell_type":"markdown","id":"c891cf6b","metadata":{"papermill":{"duration":0.265517,"end_time":"2022-04-08T01:53:01.899065","exception":false,"start_time":"2022-04-08T01:53:01.633548","status":"completed"},"tags":[]},"source":["First, let's that a quick look at the data"]},{"cell_type":"code","execution_count":2,"id":"b4cf177e","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:02.474937Z","iopub.status.busy":"2022-04-08T01:53:02.435332Z","iopub.status.idle":"2022-04-08T01:53:02.552833Z","shell.execute_reply":"2022-04-08T01:53:02.551374Z"},"papermill":{"duration":0.386149,"end_time":"2022-04-08T01:53:02.55305","exception":false,"start_time":"2022-04-08T01:53:02.166901","status":"completed"},"tags":[]},"outputs":[{"data":{"text/html":["<table class=\"dataframe\">\n","<caption>A data.frame: 6 × 10</caption>\n","<thead>\n","\t<tr><th></th><th scope=col>X1</th><th scope=col>X2</th><th scope=col>X3</th><th scope=col>X4</th><th scope=col>X5</th><th scope=col>X6</th><th scope=col>X7</th><th scope=col>X8</th><th scope=col>Y1</th><th scope=col>Y2</th></tr>\n","\t<tr><th></th><th scope=col><dbl></th><th scope=col><dbl></th><th scope=col><dbl></th><th scope=col><dbl></th><th scope=col><dbl></th><th scope=col><int></th><th scope=col><dbl></th><th scope=col><int></th><th scope=col><dbl></th><th scope=col><dbl></th></tr>\n","</thead>\n","<tbody>\n","\t<tr><th scope=row>1</th><td>0.98</td><td>514.5</td><td>294.0</td><td>110.25</td><td>7</td><td>2</td><td>0</td><td>0</td><td>15.55</td><td>21.33</td></tr>\n","\t<tr><th scope=row>2</th><td>0.98</td><td>514.5</td><td>294.0</td><td>110.25</td><td>7</td><td>3</td><td>0</td><td>0</td><td>15.55</td><td>21.33</td></tr>\n","\t<tr><th scope=row>3</th><td>0.98</td><td>514.5</td><td>294.0</td><td>110.25</td><td>7</td><td>4</td><td>0</td><td>0</td><td>15.55</td><td>21.33</td></tr>\n","\t<tr><th scope=row>4</th><td>0.98</td><td>514.5</td><td>294.0</td><td>110.25</td><td>7</td><td>5</td><td>0</td><td>0</td><td>15.55</td><td>21.33</td></tr>\n","\t<tr><th scope=row>5</th><td>0.90</td><td>563.5</td><td>318.5</td><td>122.50</td><td>7</td><td>2</td><td>0</td><td>0</td><td>20.84</td><td>28.28</td></tr>\n","\t<tr><th scope=row>6</th><td>0.90</td><td>563.5</td><td>318.5</td><td>122.50</td><td>7</td><td>3</td><td>0</td><td>0</td><td>21.46</td><td>25.38</td></tr>\n","</tbody>\n","</table>\n"],"text/latex":["A data.frame: 6 × 10\n","\\begin{tabular}{r|llllllllll}\n"," & X1 & X2 & X3 & X4 & X5 & X6 & X7 & X8 & Y1 & Y2\\\\\n"," & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <int> & <dbl> & <int> & <dbl> & <dbl>\\\\\n","\\hline\n","\t1 & 0.98 & 514.5 & 294.0 & 110.25 & 7 & 2 & 0 & 0 & 15.55 & 21.33\\\\\n","\t2 & 0.98 & 514.5 & 294.0 & 110.25 & 7 & 3 & 0 & 0 & 15.55 & 21.33\\\\\n","\t3 & 0.98 & 514.5 & 294.0 & 110.25 & 7 & 4 & 0 & 0 & 15.55 & 21.33\\\\\n","\t4 & 0.98 & 514.5 & 294.0 & 110.25 & 7 & 5 & 0 & 0 & 15.55 & 21.33\\\\\n","\t5 & 0.90 & 563.5 & 318.5 & 122.50 & 7 & 2 & 0 & 0 & 20.84 & 28.28\\\\\n","\t6 & 0.90 & 563.5 & 318.5 & 122.50 & 7 & 3 & 0 & 0 & 21.46 & 25.38\\\\\n","\\end{tabular}\n"],"text/markdown":["\n","A data.frame: 6 × 10\n","\n","| <!--/--> | X1 <dbl> | X2 <dbl> | X3 <dbl> | X4 <dbl> | X5 <dbl> | X6 <int> | X7 <dbl> | X8 <int> | Y1 <dbl> | Y2 <dbl> |\n","|---|---|---|---|---|---|---|---|---|---|---|\n","| 1 | 0.98 | 514.5 | 294.0 | 110.25 | 7 | 2 | 0 | 0 | 15.55 | 21.33 |\n","| 2 | 0.98 | 514.5 | 294.0 | 110.25 | 7 | 3 | 0 | 0 | 15.55 | 21.33 |\n","| 3 | 0.98 | 514.5 | 294.0 | 110.25 | 7 | 4 | 0 | 0 | 15.55 | 21.33 |\n","| 4 | 0.98 | 514.5 | 294.0 | 110.25 | 7 | 5 | 0 | 0 | 15.55 | 21.33 |\n","| 5 | 0.90 | 563.5 | 318.5 | 122.50 | 7 | 2 | 0 | 0 | 20.84 | 28.28 |\n","| 6 | 0.90 | 563.5 | 318.5 | 122.50 | 7 | 3 | 0 | 0 | 21.46 | 25.38 |\n","\n"],"text/plain":[" X1 X2 X3 X4 X5 X6 X7 X8 Y1 Y2 \n","1 0.98 514.5 294.0 110.25 7 2 0 0 15.55 21.33\n","2 0.98 514.5 294.0 110.25 7 3 0 0 15.55 21.33\n","3 0.98 514.5 294.0 110.25 7 4 0 0 15.55 21.33\n","4 0.98 514.5 294.0 110.25 7 5 0 0 15.55 21.33\n","5 0.90 563.5 318.5 122.50 7 2 0 0 20.84 28.28\n","6 0.90 563.5 318.5 122.50 7 3 0 0 21.46 25.38"]},"metadata":{},"output_type":"display_data"},{"data":{"text/plain":[" X1 X2 X3 X4 \n"," Min. :0.6200 Min. :514.5 Min. :245.0 Min. :110.2 \n"," 1st Qu.:0.6825 1st Qu.:606.4 1st Qu.:294.0 1st Qu.:140.9 \n"," Median :0.7500 Median :673.8 Median :318.5 Median :183.8 \n"," Mean :0.7642 Mean :671.7 Mean :318.5 Mean :176.6 \n"," 3rd Qu.:0.8300 3rd Qu.:741.1 3rd Qu.:343.0 3rd Qu.:220.5 \n"," Max. :0.9800 Max. :808.5 Max. :416.5 Max. :220.5 \n"," X5 X6 X7 X8 Y1 \n"," Min. :3.50 Min. :2.00 Min. :0.0000 Min. :0.000 Min. : 6.01 \n"," 1st Qu.:3.50 1st Qu.:2.75 1st Qu.:0.1000 1st Qu.:1.750 1st Qu.:12.99 \n"," Median :5.25 Median :3.50 Median :0.2500 Median :3.000 Median :18.95 \n"," Mean :5.25 Mean :3.50 Mean :0.2344 Mean :2.812 Mean :22.31 \n"," 3rd Qu.:7.00 3rd Qu.:4.25 3rd Qu.:0.4000 3rd Qu.:4.000 3rd Qu.:31.67 \n"," Max. :7.00 Max. :5.00 Max. :0.4000 Max. :5.000 Max. :43.10 \n"," Y2 \n"," Min. :10.90 \n"," 1st Qu.:15.62 \n"," Median :22.08 \n"," Mean :24.59 \n"," 3rd Qu.:33.13 \n"," Max. :48.03 "]},"metadata":{},"output_type":"display_data"},{"data":{"text/html":["'data.frame'"],"text/latex":["'data.frame'"],"text/markdown":["'data.frame'"],"text/plain":["[1] \"data.frame\""]},"metadata":{},"output_type":"display_data"},{"name":"stdout","output_type":"stream","text":["'data.frame':\t768 obs. of 10 variables:\n"," $ X1: num 0.98 0.98 0.98 0.98 0.9 0.9 0.9 0.9 0.86 0.86 ...\n"," $ X2: num 514 514 514 514 564 ...\n"," $ X3: num 294 294 294 294 318 ...\n"," $ X4: num 110 110 110 110 122 ...\n"," $ X5: num 7 7 7 7 7 7 7 7 7 7 ...\n"," $ X6: int 2 3 4 5 2 3 4 5 2 3 ...\n"," $ X7: num 0 0 0 0 0 0 0 0 0 0 ...\n"," $ X8: int 0 0 0 0 0 0 0 0 0 0 ...\n"," $ Y1: num 15.6 15.6 15.6 15.6 20.8 ...\n"," $ Y2: num 21.3 21.3 21.3 21.3 28.3 ...\n"]},{"data":{"text/html":["<style>\n",".list-inline {list-style: none; margin:0; padding: 0}\n",".list-inline>li {display: inline-block}\n",".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n","</style>\n","<ol class=list-inline><li>'X1'</li><li>'X2'</li><li>'X3'</li><li>'X4'</li><li>'X5'</li><li>'X6'</li><li>'X7'</li><li>'X8'</li><li>'Y1'</li><li>'Y2'</li></ol>\n"],"text/latex":["\\begin{enumerate*}\n","\\item 'X1'\n","\\item 'X2'\n","\\item 'X3'\n","\\item 'X4'\n","\\item 'X5'\n","\\item 'X6'\n","\\item 'X7'\n","\\item 'X8'\n","\\item 'Y1'\n","\\item 'Y2'\n","\\end{enumerate*}\n"],"text/markdown":["1. 'X1'\n","2. 'X2'\n","3. 'X3'\n","4. 'X4'\n","5. 'X5'\n","6. 'X6'\n","7. 'X7'\n","8. 'X8'\n","9. 'Y1'\n","10. 'Y2'\n","\n","\n"],"text/plain":[" [1] \"X1\" \"X2\" \"X3\" \"X4\" \"X5\" \"X6\" \"X7\" \"X8\" \"Y1\" \"Y2\""]},"metadata":{},"output_type":"display_data"}],"source":["head(energy)\n","summary(energy)\n","class(energy)\n","str(energy)\n","names(energy)"]},{"cell_type":"markdown","id":"af8c0133","metadata":{"papermill":{"duration":0.276134,"end_time":"2022-04-08T01:53:03.127146","exception":false,"start_time":"2022-04-08T01:53:02.851012","status":"completed"},"tags":[]},"source":["It is a bit confusing without the feature names, so we will rename the column names to match the data set description"]},{"cell_type":"code","execution_count":3,"id":"3ee19b7d","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:03.719253Z","iopub.status.busy":"2022-04-08T01:53:03.717684Z","iopub.status.idle":"2022-04-08T01:53:03.732521Z","shell.execute_reply":"2022-04-08T01:53:03.731149Z"},"papermill":{"duration":0.311414,"end_time":"2022-04-08T01:53:03.732677","exception":false,"start_time":"2022-04-08T01:53:03.421263","status":"completed"},"tags":[]},"outputs":[],"source":["colnames(energy) <- c('Relative_Compactness',\n"," 'Surface_Area',\n"," 'Wall_Area',\n"," 'Roof_Area',\n"," 'Overall_Height',\n"," 'Orientation',\n"," 'Glazing_Area',\n"," 'Glazing_Area_Distribution',\n"," 'Heating_Load',\n"," 'Cooling_Load')"]},{"cell_type":"markdown","id":"466b8323","metadata":{"papermill":{"duration":0.27344,"end_time":"2022-04-08T01:53:04.279267","exception":false,"start_time":"2022-04-08T01:53:04.005827","status":"completed"},"tags":[]},"source":["## 2.2 cleaning NAs\n","\n","finding NAs in the data"]},{"cell_type":"code","execution_count":4,"id":"91ee31d7","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:04.865993Z","iopub.status.busy":"2022-04-08T01:53:04.864385Z","iopub.status.idle":"2022-04-08T01:53:04.884776Z","shell.execute_reply":"2022-04-08T01:53:04.883204Z"},"papermill":{"duration":0.328717,"end_time":"2022-04-08T01:53:04.884927","exception":false,"start_time":"2022-04-08T01:53:04.55621","status":"completed"},"tags":[]},"outputs":[{"data":{"text/html":["<style>\n",".dl-inline {width: auto; margin:0; padding: 0}\n",".dl-inline>dt, .dl-inline>dd {float: none; width: auto; display: inline-block}\n",".dl-inline>dt::after {content: \":\\0020\"; padding-right: .5ex}\n",".dl-inline>dt:not(:first-of-type) {padding-left: .5ex}\n","</style><dl class=dl-inline><dt>Relative_Compactness</dt><dd>0</dd><dt>Surface_Area</dt><dd>0</dd><dt>Wall_Area</dt><dd>0</dd><dt>Roof_Area</dt><dd>0</dd><dt>Overall_Height</dt><dd>0</dd><dt>Orientation</dt><dd>0</dd><dt>Glazing_Area</dt><dd>0</dd><dt>Glazing_Area_Distribution</dt><dd>0</dd><dt>Heating_Load</dt><dd>0</dd><dt>Cooling_Load</dt><dd>0</dd></dl>\n"],"text/latex":["\\begin{description*}\n","\\item[Relative\\textbackslash{}\\_Compactness] 0\n","\\item[Surface\\textbackslash{}\\_Area] 0\n","\\item[Wall\\textbackslash{}\\_Area] 0\n","\\item[Roof\\textbackslash{}\\_Area] 0\n","\\item[Overall\\textbackslash{}\\_Height] 0\n","\\item[Orientation] 0\n","\\item[Glazing\\textbackslash{}\\_Area] 0\n","\\item[Glazing\\textbackslash{}\\_Area\\textbackslash{}\\_Distribution] 0\n","\\item[Heating\\textbackslash{}\\_Load] 0\n","\\item[Cooling\\textbackslash{}\\_Load] 0\n","\\end{description*}\n"],"text/markdown":["Relative_Compactness\n",": 0Surface_Area\n",": 0Wall_Area\n",": 0Roof_Area\n",": 0Overall_Height\n",": 0Orientation\n",": 0Glazing_Area\n",": 0Glazing_Area_Distribution\n",": 0Heating_Load\n",": 0Cooling_Load\n",": 0\n","\n"],"text/plain":[" Relative_Compactness Surface_Area Wall_Area \n"," 0 0 0 \n"," Roof_Area Overall_Height Orientation \n"," 0 0 0 \n"," Glazing_Area Glazing_Area_Distribution Heating_Load \n"," 0 0 0 \n"," Cooling_Load \n"," 0 "]},"metadata":{},"output_type":"display_data"}],"source":["colSums(is.na(energy))"]},{"cell_type":"markdown","id":"7cd6f1ed","metadata":{"papermill":{"duration":0.274711,"end_time":"2022-04-08T01:53:05.434051","exception":false,"start_time":"2022-04-08T01:53:05.15934","status":"completed"},"tags":[]},"source":["We do not have any missing data in this data set which is not normal but I'll take it.\n","\n","## 2.3 cleaning blank observations\n","\n","Now we will be checking to see if there are any blank observations"]},{"cell_type":"code","execution_count":5,"id":"f7c90ab3","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:05.990388Z","iopub.status.busy":"2022-04-08T01:53:05.98874Z","iopub.status.idle":"2022-04-08T01:53:06.016239Z","shell.execute_reply":"2022-04-08T01:53:06.01448Z"},"papermill":{"duration":0.306632,"end_time":"2022-04-08T01:53:06.016427","exception":false,"start_time":"2022-04-08T01:53:05.709795","status":"completed"},"tags":[]},"outputs":[{"data":{"text/html":["<style>\n",".dl-inline {width: auto; margin:0; padding: 0}\n",".dl-inline>dt, .dl-inline>dd {float: none; width: auto; display: inline-block}\n",".dl-inline>dt::after {content: \":\\0020\"; padding-right: .5ex}\n",".dl-inline>dt:not(:first-of-type) {padding-left: .5ex}\n","</style><dl class=dl-inline><dt>Relative_Compactness</dt><dd>0</dd><dt>Surface_Area</dt><dd>0</dd><dt>Wall_Area</dt><dd>0</dd><dt>Roof_Area</dt><dd>0</dd><dt>Overall_Height</dt><dd>0</dd><dt>Orientation</dt><dd>0</dd><dt>Glazing_Area</dt><dd>0</dd><dt>Glazing_Area_Distribution</dt><dd>0</dd><dt>Heating_Load</dt><dd>0</dd><dt>Cooling_Load</dt><dd>0</dd></dl>\n"],"text/latex":["\\begin{description*}\n","\\item[Relative\\textbackslash{}\\_Compactness] 0\n","\\item[Surface\\textbackslash{}\\_Area] 0\n","\\item[Wall\\textbackslash{}\\_Area] 0\n","\\item[Roof\\textbackslash{}\\_Area] 0\n","\\item[Overall\\textbackslash{}\\_Height] 0\n","\\item[Orientation] 0\n","\\item[Glazing\\textbackslash{}\\_Area] 0\n","\\item[Glazing\\textbackslash{}\\_Area\\textbackslash{}\\_Distribution] 0\n","\\item[Heating\\textbackslash{}\\_Load] 0\n","\\item[Cooling\\textbackslash{}\\_Load] 0\n","\\end{description*}\n"],"text/markdown":["Relative_Compactness\n",": 0Surface_Area\n",": 0Wall_Area\n",": 0Roof_Area\n",": 0Overall_Height\n",": 0Orientation\n",": 0Glazing_Area\n",": 0Glazing_Area_Distribution\n",": 0Heating_Load\n",": 0Cooling_Load\n",": 0\n","\n"],"text/plain":[" Relative_Compactness Surface_Area Wall_Area \n"," 0 0 0 \n"," Roof_Area Overall_Height Orientation \n"," 0 0 0 \n"," Glazing_Area Glazing_Area_Distribution Heating_Load \n"," 0 0 0 \n"," Cooling_Load \n"," 0 "]},"metadata":{},"output_type":"display_data"}],"source":["colSums(energy == \"\")"]},{"cell_type":"markdown","id":"5c93f126","metadata":{"papermill":{"duration":0.281776,"end_time":"2022-04-08T01:53:06.579113","exception":false,"start_time":"2022-04-08T01:53:06.297337","status":"completed"},"tags":[]},"source":["No blank observations so we will move on to visualizing the data.\n","\n","## 2.4 scaling the data set\n","\n","You can see from the summary of the data set that the features have a wide range of observations. This large of a difference could potentially skew our predictions because the models may overvalue features with larger values. In order to reduce that we will scale the data set.\n","\n","Here is a boxplot of the data set before we scale. You can see the large differences in ranges between a few of the features. "]},{"cell_type":"code","execution_count":6,"id":"c0495d00","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:07.148974Z","iopub.status.busy":"2022-04-08T01:53:07.146569Z","iopub.status.idle":"2022-04-08T01:53:07.385092Z","shell.execute_reply":"2022-04-08T01:53:07.384383Z"},"papermill":{"duration":0.525566,"end_time":"2022-04-08T01:53:07.385239","exception":false,"start_time":"2022-04-08T01:53:06.859673","status":"completed"},"tags":[]},"outputs":[{"data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAABmJLR0QA/wD/AP+gvaeTAAAg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\naiiD9Mx8oV8AAAAASUVORK5CYII="},"metadata":{"image/png":{"height":420,"width":420}},"output_type":"display_data"}],"source":["boxplot(energy)"]},{"cell_type":"markdown","id":"623e63f9","metadata":{"papermill":{"duration":0.281472,"end_time":"2022-04-08T01:53:07.946717","exception":false,"start_time":"2022-04-08T01:53:07.665245","status":"completed"},"tags":[]},"source":["Now let us scale the data set"]},{"cell_type":"code","execution_count":7,"id":"5709d729","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:08.517078Z","iopub.status.busy":"2022-04-08T01:53:08.51483Z","iopub.status.idle":"2022-04-08T01:53:08.534691Z","shell.execute_reply":"2022-04-08T01:53:08.532875Z"},"papermill":{"duration":0.308296,"end_time":"2022-04-08T01:53:08.534861","exception":false,"start_time":"2022-04-08T01:53:08.226565","status":"completed"},"tags":[]},"outputs":[],"source":["energy[,1:8] <- scale(energy[,1:8])"]},{"cell_type":"markdown","id":"0c5ebcb0","metadata":{"papermill":{"duration":0.282443,"end_time":"2022-04-08T01:53:09.099082","exception":false,"start_time":"2022-04-08T01:53:08.816639","status":"completed"},"tags":[]},"source":["Now let us look at a boxplot of the scaled dataset. We can now see that the features are scaled."]},{"cell_type":"code","execution_count":8,"id":"ff96aca4","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:09.667521Z","iopub.status.busy":"2022-04-08T01:53:09.665367Z","iopub.status.idle":"2022-04-08T01:53:09.775741Z","shell.execute_reply":"2022-04-08T01:53:09.774096Z"},"papermill":{"duration":0.394179,"end_time":"2022-04-08T01:53:09.775891","exception":false,"start_time":"2022-04-08T01:53:09.381712","status":"completed"},"tags":[]},"outputs":[{"data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAABmJLR0QA/wD/AP+gvaeTAAAg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\ngh0AAIAiCHYAAACKINgBAAAo4v+NygSFKqddbQAAAABJRU5ErkJggg=="},"metadata":{"image/png":{"height":420,"width":420}},"output_type":"display_data"}],"source":["boxplot(energy)"]},{"cell_type":"markdown","id":"8e5d86d6","metadata":{"papermill":{"duration":0.287532,"end_time":"2022-04-08T01:53:10.345842","exception":false,"start_time":"2022-04-08T01:53:10.05831","status":"completed"},"tags":[]},"source":["Let us check the mean of each feature to make sure that the data set is scaled. Means should be 0"]},{"cell_type":"code","execution_count":9,"id":"fd9f8705","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:10.922225Z","iopub.status.busy":"2022-04-08T01:53:10.92001Z","iopub.status.idle":"2022-04-08T01:53:10.944421Z","shell.execute_reply":"2022-04-08T01:53:10.942508Z"},"papermill":{"duration":0.314086,"end_time":"2022-04-08T01:53:10.944583","exception":false,"start_time":"2022-04-08T01:53:10.630497","status":"completed"},"tags":[]},"outputs":[{"data":{"text/html":["<style>\n",".dl-inline {width: auto; margin:0; padding: 0}\n",".dl-inline>dt, .dl-inline>dd {float: none; width: auto; display: inline-block}\n",".dl-inline>dt::after {content: \":\\0020\"; padding-right: .5ex}\n",".dl-inline>dt:not(:first-of-type) {padding-left: .5ex}\n","</style><dl class=dl-inline><dt>Relative_Compactness</dt><dd>'-0.0000000000000000081'</dd><dt>Surface_Area</dt><dd>'-0.0000000000000004429'</dd><dt>Wall_Area</dt><dd>' 0.0000000000000000000'</dd><dt>Roof_Area</dt><dd>' 0.0000000000000002035'</dd><dt>Overall_Height</dt><dd>' 0.0000000000000000000'</dd><dt>Orientation</dt><dd>' 0.0000000000000000000'</dd><dt>Glazing_Area</dt><dd>' 0.0000000000000001214'</dd><dt>Glazing_Area_Distribution</dt><dd>' 0.0000000000000000121'</dd></dl>\n"],"text/latex":["\\begin{description*}\n","\\item[Relative\\textbackslash{}\\_Compactness] '-0.0000000000000000081'\n","\\item[Surface\\textbackslash{}\\_Area] '-0.0000000000000004429'\n","\\item[Wall\\textbackslash{}\\_Area] ' 0.0000000000000000000'\n","\\item[Roof\\textbackslash{}\\_Area] ' 0.0000000000000002035'\n","\\item[Overall\\textbackslash{}\\_Height] ' 0.0000000000000000000'\n","\\item[Orientation] ' 0.0000000000000000000'\n","\\item[Glazing\\textbackslash{}\\_Area] ' 0.0000000000000001214'\n","\\item[Glazing\\textbackslash{}\\_Area\\textbackslash{}\\_Distribution] ' 0.0000000000000000121'\n","\\end{description*}\n"],"text/markdown":["Relative_Compactness\n",": '-0.0000000000000000081'Surface_Area\n",": '-0.0000000000000004429'Wall_Area\n",": ' 0.0000000000000000000'Roof_Area\n",": ' 0.0000000000000002035'Overall_Height\n",": ' 0.0000000000000000000'Orientation\n",": ' 0.0000000000000000000'Glazing_Area\n",": ' 0.0000000000000001214'Glazing_Area_Distribution\n",": ' 0.0000000000000000121'\n","\n"],"text/plain":[" Relative_Compactness Surface_Area Wall_Area \n"," \"-0.0000000000000000081\" \"-0.0000000000000004429\" \" 0.0000000000000000000\" \n"," Roof_Area Overall_Height Orientation \n"," \" 0.0000000000000002035\" \" 0.0000000000000000000\" \" 0.0000000000000000000\" \n"," Glazing_Area Glazing_Area_Distribution \n"," \" 0.0000000000000001214\" \" 0.0000000000000000121\" "]},"metadata":{},"output_type":"display_data"}],"source":["options(digits = 3)\n","format(colMeans(energy[,1:8]), scientific = FALSE)"]},{"cell_type":"markdown","id":"0f381145","metadata":{"papermill":{"duration":0.288289,"end_time":"2022-04-08T01:53:11.522609","exception":false,"start_time":"2022-04-08T01:53:11.23432","status":"completed"},"tags":[]},"source":["Now let us check the standard deviation. Should be 1"]},{"cell_type":"code","execution_count":10,"id":"0a9d8ca5","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:12.107331Z","iopub.status.busy":"2022-04-08T01:53:12.105303Z","iopub.status.idle":"2022-04-08T01:53:12.168215Z","shell.execute_reply":"2022-04-08T01:53:12.166621Z"},"papermill":{"duration":0.360699,"end_time":"2022-04-08T01:53:12.168383","exception":false,"start_time":"2022-04-08T01:53:11.807684","status":"completed"},"tags":[]},"outputs":[{"data":{"text/html":["<table class=\"dataframe\">\n","<caption>A data.frame: 1 × 8</caption>\n","<thead>\n","\t<tr><th scope=col>Relative_Compactness</th><th scope=col>Surface_Area</th><th scope=col>Wall_Area</th><th scope=col>Roof_Area</th><th scope=col>Overall_Height</th><th scope=col>Orientation</th><th scope=col>Glazing_Area</th><th scope=col>Glazing_Area_Distribution</th></tr>\n","\t<tr><th scope=col><dbl></th><th scope=col><dbl></th><th scope=col><dbl></th><th scope=col><dbl></th><th scope=col><dbl></th><th scope=col><dbl></th><th scope=col><dbl></th><th scope=col><dbl></th></tr>\n","</thead>\n","<tbody>\n","\t<tr><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td></tr>\n","</tbody>\n","</table>\n"],"text/latex":["A data.frame: 1 × 8\n","\\begin{tabular}{llllllll}\n"," Relative\\_Compactness & Surface\\_Area & Wall\\_Area & Roof\\_Area & Overall\\_Height & Orientation & Glazing\\_Area & Glazing\\_Area\\_Distribution\\\\\n"," <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n","\\hline\n","\t 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1\\\\\n","\\end{tabular}\n"],"text/markdown":["\n","A data.frame: 1 × 8\n","\n","| Relative_Compactness <dbl> | Surface_Area <dbl> | Wall_Area <dbl> | Roof_Area <dbl> | Overall_Height <dbl> | Orientation <dbl> | Glazing_Area <dbl> | Glazing_Area_Distribution <dbl> |\n","|---|---|---|---|---|---|---|---|\n","| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |\n","\n"],"text/plain":[" Relative_Compactness Surface_Area Wall_Area Roof_Area Overall_Height\n","1 1 1 1 1 1 \n"," Orientation Glazing_Area Glazing_Area_Distribution\n","1 1 1 1 "]},"metadata":{},"output_type":"display_data"}],"source":["energy %>% select(-Heating_Load,-Cooling_Load) %>% summarise_if(is.numeric,sd)"]},{"cell_type":"markdown","id":"59349bd1","metadata":{"papermill":{"duration":0.312611,"end_time":"2022-04-08T01:53:12.810673","exception":false,"start_time":"2022-04-08T01:53:12.498062","status":"completed"},"tags":[]},"source":["# 3. Data Visualization\n","\n","First, let us look at the density of heating load"]},{"cell_type":"code","execution_count":11,"id":"97ab9226","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:13.404734Z","iopub.status.busy":"2022-04-08T01:53:13.402548Z","iopub.status.idle":"2022-04-08T01:53:13.725581Z","shell.execute_reply":"2022-04-08T01:53:13.724801Z"},"papermill":{"duration":0.623435,"end_time":"2022-04-08T01:53:13.725733","exception":false,"start_time":"2022-04-08T01:53:13.102298","status":"completed"},"tags":[]},"outputs":[{"data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAABmJLR0QA/wD/AP+gvaeTAAAg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\nAAAAAElFTkSuQmCC"},"metadata":{"image/png":{"height":420,"width":420}},"output_type":"display_data"}],"source":["energy %>% ggplot(aes(Heating_Load)) +\n"," geom_density(aes(fill = \"red\", color = \"red\")) +\n"," xlab(\"heating lab\") +\n"," ggtitle(\"Density of Heating Load\") +\n"," theme_economist() +\n"," theme(legend.position = \"none\")"]},{"cell_type":"markdown","id":"67028088","metadata":{"papermill":{"duration":0.294097,"end_time":"2022-04-08T01:53:14.308702","exception":false,"start_time":"2022-04-08T01:53:14.014605","status":"completed"},"tags":[]},"source":["Second, the density of Cooling load"]},{"cell_type":"code","execution_count":12,"id":"742455ab","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:14.906398Z","iopub.status.busy":"2022-04-08T01:53:14.904939Z","iopub.status.idle":"2022-04-08T01:53:15.19469Z","shell.execute_reply":"2022-04-08T01:53:15.193985Z"},"papermill":{"duration":0.587983,"end_time":"2022-04-08T01:53:15.194841","exception":false,"start_time":"2022-04-08T01:53:14.606858","status":"completed"},"tags":[]},"outputs":[{"data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAABmJLR0QA/wD/AP+gvaeTAAAg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\nYgcAAKAS/w9mccnnIu4DWgAAAABJRU5ErkJggg=="},"metadata":{"image/png":{"height":420,"width":420}},"output_type":"display_data"}],"source":["energy %>% ggplot(aes(Cooling_Load)) +\n"," geom_density(aes(fill = \"blue\", color = \"blue\")) +\n"," xlab(\"cooling lab\") +\n"," ggtitle(\"Density of Cooling Load\") +\n"," theme_economist() +\n"," theme(legend.position = \"none\")"]},{"cell_type":"markdown","id":"27f8d03f","metadata":{"papermill":{"duration":0.32537,"end_time":"2022-04-08T01:53:15.815298","exception":false,"start_time":"2022-04-08T01:53:15.489928","status":"completed"},"tags":[]},"source":["Both heating and cooling density look similar\n","\n","scatter plot of surface area and heating load"]},{"cell_type":"code","execution_count":13,"id":"b478dc06","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:16.422572Z","iopub.status.busy":"2022-04-08T01:53:16.420842Z","iopub.status.idle":"2022-04-08T01:53:16.677113Z","shell.execute_reply":"2022-04-08T01:53:16.676443Z"},"papermill":{"duration":0.55708,"end_time":"2022-04-08T01:53:16.677264","exception":false,"start_time":"2022-04-08T01:53:16.120184","status":"completed"},"tags":[]},"outputs":[{"data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAABmJLR0QA/wD/AP+gvaeTAAAg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\nwCEodgAAAA7x/wFqRzWpxPZSvAAAAABJRU5ErkJggg=="},"metadata":{"image/png":{"height":420,"width":420}},"output_type":"display_data"}],"source":["energy %>% ggplot(aes(Surface_Area,Heating_Load)) +\n"," geom_point(aes(color = \"red\")) +\n"," xlab(\"surface area\") +\n"," ylab(\"heating load\")+\n"," ggtitle(\"Surface area and heat\") +\n"," theme_economist() +\n"," theme(legend.position = \"none\")"]},{"cell_type":"markdown","id":"82e7880f","metadata":{"papermill":{"duration":0.301103,"end_time":"2022-04-08T01:53:17.278519","exception":false,"start_time":"2022-04-08T01:53:16.977416","status":"completed"},"tags":[]},"source":["scatter plot of roof area and heating load"]},{"cell_type":"code","execution_count":14,"id":"9f0e55ed","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:17.87918Z","iopub.status.busy":"2022-04-08T01:53:17.877517Z","iopub.status.idle":"2022-04-08T01:53:18.140616Z","shell.execute_reply":"2022-04-08T01:53:18.139667Z"},"papermill":{"duration":0.564171,"end_time":"2022-04-08T01:53:18.140774","exception":false,"start_time":"2022-04-08T01:53:17.576603","status":"completed"},"tags":[]},"outputs":[{"data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAABmJLR0QA/wD/AP+gvaeTAAAg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\nYII="},"metadata":{"image/png":{"height":420,"width":420}},"output_type":"display_data"}],"source":["energy %>% ggplot(aes(Roof_Area,Heating_Load)) +\n"," geom_point(aes(color = \"red\")) +\n"," xlab(\"roof area\") +\n"," ylab(\"heating load\")+\n"," ggtitle(\"Roof area and heat\") +\n"," theme_economist() +\n"," theme(legend.position = \"none\")"]},{"cell_type":"markdown","id":"060bab79","metadata":{"papermill":{"duration":0.298135,"end_time":"2022-04-08T01:53:18.741146","exception":false,"start_time":"2022-04-08T01:53:18.443011","status":"completed"},"tags":[]},"source":["scatter plot of compactness and heating load"]},{"cell_type":"code","execution_count":15,"id":"43d038c4","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:19.352504Z","iopub.status.busy":"2022-04-08T01:53:19.350323Z","iopub.status.idle":"2022-04-08T01:53:19.611548Z","shell.execute_reply":"2022-04-08T01:53:19.610162Z"},"papermill":{"duration":0.568923,"end_time":"2022-04-08T01:53:19.611714","exception":false,"start_time":"2022-04-08T01:53:19.042791","status":"completed"},"tags":[]},"outputs":[{"data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAABmJLR0QA/wD/AP+gvaeTAAAg\nAElEQVR4nOzdd3gU1d4H8HNmtmXTCwkJJQFClyaCCAIKXkRUsKGgXhBFvaJ4xXLtcsGKHbFe\nGwIWBBV9VUB6EalKFUFqEkp63WydOe8fGzZtZpPdTGY2s9/P4+OzO2cTvruzmf3tzCn0QE4+\nAQAAAICWj9M6AAAAAAAoA4UdAAAAgE6gsAMAAADQCRR2AAAAADqBwg4AAABAJ1DYAQAAAOgE\nCjsAAAAAnUBhBwAAAKATKOwAAAAAdAKFHQAAAIBOoLADAAAA0AkUdgAAAAA6gcIOAAAAQCdQ\n2AEAAADoBAo7AAAAAJ1AYQcAAACgEyjsAAAAAHQChR0AAACATqCwAwAAANAJFHYAAAAAOoHC\nDgAAAEAnUNgBAAAA6IRB6wDNa96FHd8/Ve7nAbwxIi65fb+hV0yeMeP8Ntag/yFX+eZ+3a/1\n3o5MvW/7jplB/yoN/4mmKD++ddl3P25ct/nE6dzCwrKI+FatWqf1uXjUP6687uK+7bVOByBh\nzYiu9x8u8t6+e+ux+9tG+3mwu2JH325jfHeXHj7d3Wqs/7AZvdv/UmT33h78+e4Ph7dRLm8w\nQva4UfPg3P+NbQvGd9Q2T4MCercAaEjnhV2DBLe98NSh1V8dWvfd0meWr7uhS5zWicjuZx/8\n/GyF9/blz711WbxF2zwNEj0Fnzzz73cXrXKKzLfRmX+qJP/U3/t2LH3v+fOuum/Wi493izdp\nGDL0tbj9DiEF7x8A8Ar3ws5HcOa8eN3UK/cuieCotklOr/np5yNV3wszn3z9snht4zRAcBx5\n6porf9hf5Ocx+398++ZNm+au/WFoSvDnRHWvZe13CDV4/wCAVxgVdmmjp17bI6HGBsFemr/x\n28VHip3e+46SDc/uLXihbytN4jWIN6ff++B/vLdN0QO1DXMO+98t19Ss6ihn7n7RsE5tU6ij\n6PDvm/7KrrrU4izdM+OKqau3L4ozoFsngHpC8rgBAM0ojAq71MvvnFavG8cDj0+/pe+QfRUu\n790984+RN0O1sDO1m/bgI1qnqOXUin+9vS3Xdzf5otveemd2r+SIcxuELQsev+fJ+R7GCCH2\nvFXTPzu88I5uWiQFCFMheNwAgGYVRoWdJN6S8e+LUqauyvbeLT9UpmGY458+v/BwSVa+zbdl\n7UtP5UYaMyY+Pql3gp8f1Aib+/gK353o9FuWfflyrKHmhWx+8KSX3z74678WHvbeP/j2++SO\nN5VMIAiE5zW+dt5kLW2/Q2jB+wcAagr3wo4QEpFU3cvYnGKu07p/+cdfffPj9t2HCgvLolu3\nb98hc9CoG2699eoYQwDlhCPvj68+Wbh+044jx3PKbQ5DRFRianr3foPH3HTn5Re28z3s7Jql\ni9fn1PrXv/18PyEDLrp3Uu8EydFtJ76+5soHf/VuTOwzb+NPE2r+eOmRJwdf8r9zT3P8zt3v\nKvjU7Hmf/JRf6bs7bdHsWKkfHPDIY2Th7VWvQ+ESh/iGpUYvRnf5saUfz1+3bv3hE6dLSh2R\n8YlpmX0GX3rFxNvHt7bUenOW/D1lyKU/em93uPGnJY+wlx55+udNe+wijUlK7TLwslvuf/wf\nPRMIIVkbPnv7f59v33e0qNydkNpxwD+uveeRaR2jqgcwnt0wfuQt6723O09duWzmeT+99/zn\nS346ln2Gi0nJ7HfxVePvuHF0n/rPpZH7sVbsw+vmf7Zky+ZtOXl5NrchMbldrwuHjZt0z4h+\n1YMl/e/3ipwXLhz0hnd7fJfPNq8dc+jnDz/47Mvf/zxRZPMktO44YOQ1Ux+e1jVWYmxKQLtY\nsGf/8OknK9ZsPHj4RFmZ3WiNTsno0mfQiGtuuX1AZmzTHy+n8a9qU16KExu++N+nC7f+cbiw\nkrRu123E9Xc8cM91jQ+plID2SPMdN0jTXkxH7u8fvTN/+7atB44VpXa+4Mb7Zk4a031mv4yl\n+TZCiCGi656/Nyvxaklr/EGjKm3gf7Yh8m4BCA4KO/LH9gLf7U4TOvhuC66cl24d98WWLN8W\nR/bf+dl/79q4/NN3Br3w+aJ/dGnUp1fWihdvuWdukVvwbfFUlJz6u+TU33tWf/3ehXe+98nM\nG4IO3/bKZ00Pj3SJjBBScvAFm3BTZI0TWMc+WFv91O6eruxTy133ne+2JeHKSR1iJB9mSbh6\nxcat3quxhBCeVsf7a9nz/3ro7Xynx7elJP90Sf7pP39bPn/uaw+8982UEemSv7Myd80tl759\n6NwF9NL8nB0/zd+1Yum0r7f12/bwna+sEM/9c/lZB37++MDa71Yu2PJ9zyiJySkIE+bdOuj9\nDdm+F2LXyi93rfzyk4vv+Gj+c21rfE4Evh/Fn+dMfvztlb7nTgjJzTqYm3VwzdIPh0x57b3Z\ntwbR33DNszfc/8EG3938rAM/f3pg9TfL3tu8clBC9deSQHdxyYGvJo9/6EiZy7fFXV50fN/W\n4/u2fv/x61fM+OiVGZc35fFymvLX0ciXghDx2yevf/qz6lIj5/D2BS9uX7nh4MOMqCbQPdKs\nx436Gv1ikrPr354w5bn8c8GO713z8t1rdz32vToTCgR60AjizzYU3i0ATRHOPdmZozxvw2eP\nvXGsxHvfGNnzvyPSzjW6Xxt3Wc2jcE2VZ7Y+PGbUpgJHg/+Go+iXG//1Zs3DSh3bPrxnzq58\n7+2LFv1xICf/lczqqyf3bz9+ICd//tgMuR83RPa6r1PVEVVwnXn3eGnN1kW/nPLeoJROv7lT\n1VaFnlrO19W/Ia7XZD+PbNexU4dOmd7/jOfquuwfHrlh+tyaB+iaPLaTr9120Qfb8iRbcze8\n7qvqfESh4r2JI6fWqOp8HEU7ZjywUvJXnVo1tbqqqyF788cTb3ijxm8IYD967Xht7CPzVnjq\nhSGEMCZu/mTG7a/v8N5t/H4vz36h5qevj6vswCO3fljjHwhsFwuOI5OvfbBmlVYrrej4+bVb\nH112IujHywniVfVp7EtByK5Xr6n5Oe2Tu+XNp8/97Qfhhi5pPdu2qv+fbxK7WgLcI8193Kij\n8S9mxclvx99WXdV5McbWvHTt2pKGDxpNFOhBI4g3WDO9WwDUFEaF3a4ZF9Y+BCf3795z2pMf\nC4wRQnhz28e+/qa1ifc++OQ3kz/bV+i9ndDvxg9Xbt95PHvV+hV3jOni3ehxHHtswusN/qN7\nZz1d7hG9t1OG3fnWlz9+s2rD50u+uHNsF99jVjy3synPa8zTg3y317990HfbXf7bisKqz5jI\n1LsvPndJRamnlptffRxPHJISUGZP5YFb/r2QnSt6EvuOe+r1Tz7/6ceXX37u4k5V5y2Y6H5v\n0sSSc69eHZak3nc9+uwLr70y6cq+vo2C6yxjLLH32BmzXp/93Kzh3aunfDi7frbk76nMOk0p\nP/ime55569NnZz85qm+yr6lo98vz/q46lAe6Hx1FP905d7v3NqWGy++Z9fF3q75etuzp6Tf4\nzlnuemvCoUp3g69VTR77Id6QcMVt9z8+Z95Tzzw5uGP1WdLifc8dd1R94AW6i7O/f/DIuSRJ\nA297b9n61bv2Ll/7y6yHb/KlXfXUo0E/Xk5T/joa+VI4in68a942X1PG8AmPvPT+Ky8/e+2l\nmYQQhyD97lJcoHtEheNGTY18MQkR54x/qMhTVSdFtR/5wHPvvDJn1pj+rRgT/NRPyoQM/KAR\n+J9tSLxbAJoIl2IJIaT1xVPfnDezV6vqznavzd7kvcEbUz746s0ekUZCSERm/xnvrzp1frcV\nBXZCSMlfb/xQMGNsUoTk7/T6eVPVoFHKWxZ8+mxbs7dw7NHzvOgPf7ja22Q/e5CQK4IOn3zx\nCzGGlWUekRByZtUbhFzk3Z6/tXqYQvcZ1WfUlHpqZ1zV35strQKbDfXwO9MLz30MxHa54+fv\nX4ziKSGkb58LR99w5f0DB68vsBNC3La9T6zKefeKugtXGCIyF29ZkWk1EkLG3XQbN7DD/NNV\nU7NGtb9l9U9vmighhFwzYdRFXYfYBJEQIjiOF3rERKnJVi55dsXbt1VVh9fedterY/rNPzeB\ny3fPbJ3+5WgS+H7cP/tZ97npmjve9sXrT17qvd3zgiHJeX9MX3yUECJ6yl7dePbD0dK9fCRR\nzjxz+dbrzxWsN06+ZmzPwSccbkIIY8LqIsedaVEk8F18eln1maSBz/xnmHfGn5TU9l3e9qza\n9na2d0TR7hyn4H3igT5eTlP+Ohr5Uux6Zrbv87jtVXN+fP92b+E55ua7e951wXM/S59CU1yg\ne0SF40ZNjXwxS/565ttzf2iW+Eu/WrOoQ4SBEHLFhEntJ1z0/m9nFQkjJ4iDRqAvY4i8WwCa\nCIUdIYTkblnw1qtpb714n3d2YlfZpjVFVaejYjo+4j0Ke1HOevvEjivmHfDeXbLu9Njxner/\nQp+nth1+ghFCCKXUaOQJIYS5zh498MNb//E9honSl7QaiTe1fbRv0pM78wghztJ1ywsdVyRa\nCCE75+47l9n40NVV/U4UfGopxurPbFeJM6DM3y8+7rv9z48fj6rRL5A3tX1m7qj1t3zvvbt/\n3jZSr7CL6/5UZo3VnIadF+8r7HrOfMh07pfxlsx+0cbN57I5RImrouaYIXMnV5/zo5x12kcP\nzB/0jPduyd6PCBlNAt+Pi9ef9t2e8eDgmv/i4CefuoZVXRduVSp9UUlOVNuHr69xGpI3Z0xp\nEzXzaLH3bq5bIEHtYlNCdQf5ldcMrbhq7JChwwZdfHFmm7gJP+2oNR6HkCAeL6cpfx2NeSkI\nIe+tOdcbgTO9/to/a4xQoDe89v5LK670SL0rGuOm6Q8nGSW+J6z74M0/bbUyB7FHVDhu1NTI\nF/PQ3Or+DOe/+Iq3qiOEUD7qrv+98kHvSUyq44FSgjhoBPoyNt+7BUBNYVTY1ZmgWPQ4cw5u\n/nH174wxJrq2fD57asZln9/TnRDiKFjqe1jxoYd7tn1Y7ncWrM8jfqsfg9FECDmzf9OqNRv2\n7z9w7Mjhk8dzKmUuLwZt6Mx/kKs/995e+MPJK6Z0Jcz1zsGq43J0+sO9zo0bUPCptU40k3NH\n2tLdgfU+WXWuHxJniL09ve5AjcQL7iWk6hhtO72KkPF1HmBJrvUjtMYw2+gOkTWbeNLACN+4\nXtPrTJcS2ebOVsZZ3l5ErvItAiM8DXg/rjs36zVvbndpfK2+55aEq55//Sr/qeQYLJ3rbEmp\nN2gxiF3c9eE7DD887e0OKHgKNy77dOOyTwkhCem9Bg0ZeuHFl1xy+bCkGufeAn287NNpwl9H\nY14KT+Wff5RXfWxbEq/vGVlr9IwxesDViRHf1RjZHZDx0x+UXCs2d+E7dQq7IPaIOscNn8a8\nmISQnX9UT0V+w+BavS/M8aOHxJo2B/gFLyBBHDQCehmb9d0CoKYwKuwkJyi+9tlLbv+g6uvy\nkfnLyD3dCSHOwty6PyzDdqyBee8EV/ard96yYE1V1zdKDSkdegw8r1efgX3nNqITUiMl9J7d\nxrz4lNNDCDn2v2VkyqO2M+/mnOti3OeJ6mFfCj61Nte2Jzurflvhtp98l4Dr+/jNV33LyF59\n74PtTEKuq+ocAG9ON9c762GI6O67LThONDJwlQAntYvsWG8wLzV0jDB4CzsmussEMd7ABbQf\nRU+B/dwFHYNF2aXNG356Qezi6A53L/uYPP/qu7/9ebrmA4pO7vv55L6fv3jXYG13+0uf//u6\n7sE9Xk7T/joafik8lX/6btd8U/kMiDGr8FEdxB5R57hRQ6P+bI7bq7uEdrHW/ezoGdmchR1z\nBXHQCOhlDJF3C0DThVFhJ6nXnRPIB097b7vKNhLyOCHEEFXdtyw6c/TlA5Lkftya0tr/7188\n+coFm854b49+cN5DU69LizERQgT7oblPNTF7NcrHPDEs9d5V2YSQilNvnXQ8ZFtY9eWV4yMf\nuzTN90gFn1rKqDHkyapxnZW5H24ofnp4fN1ZAAkhzpLVr786pyonNdx6/8OE8skmPs8lEEIE\n50kXI6baHysexxHfbd7UhjSnyhPl9baxbGfVRwhniI83cCTA/cgZ4o0c9faxE1xnmi+8pOB2\ncYdRd3806u7iE3s2rlv764a1v23aWVRj7KGnMvvDBy7rMPTvsa2swT1eUrP/dXDVXT8Fx9/1\n2ys8alxZC2KPqHPcCFR8jS6qp51ih9oda3NkBqsqg5qCOGgE9jKGxrsFoOnCvbDjLZm+277v\neeb4QYRUzYVrTZwy65URwf1ywX7opc1VHYqtKbe/9mB17yNn2cbgfqec85+6jqyaSwhhouvN\n3QWtl5zwbo/r9nRGjcnYlHpqhJDI1HsuiZ+zvthBCGFM/O/dH675+r76fY52vDLTdzsi+Vbv\nRKyXxVu+yLURQkRP6adZZXen1zptVvj7vBo/cknQCRujeO+7AhlR86ph5dnPTp/7iIpoNYEE\nsx/5AdGmLaVOQojHfnhrmWtQTPWFLWfx8jkvV80vmDTwvmnXSs/VF7Sm7OL4jD7jpvQZN2UG\nEyr+3Lpx85rliz9bmuv0EEKY6Fq05MTYaT2a8viaVPjrMEb14yn1Dnu3Fy45VDmna42Lp8xT\nsjC3QpF/yL9A94iax42A9Gtt9f7ZEkKW7i8cMiTV1+Sp3L+qqHmnOwn0oBHoyxgi7xaApguj\n6U4kMVZ97UD0FHmvn1mTJ7cxVxVDxX++ZhNqfVHLWjZn5iMzvP8tOFBE5LnKfxN8vYlZrbkA\nNj7/ocQP1P8Nje6rG9Px0Z5RVdXDztkLfcffgU+PqfkwpZ4aIYQQ/j8zh/vu5G2ZdfNj7xfV\n6r8i/vbZw9MWVH/37fPg3d4b19yQ4du4YOqcyhoxBNep2dOX++52v29YQzGaxFm64cFF+6vv\ni47/TZ3ju5c+8UYS1H6cNKB62pTnX1hTs2nT7FmLF873/rc/QfqbVeP3e32B7mJX+ZZrRg7z\n/jdxwjveh1E+queQMXc/M++TF/v7fpa5xCAeL6fpfx0N4k1tLk+0nPsXHA889nXN1l9fvznb\n0Zwnmc4JfI+od9wISK+7evpu//rgswU1/th/enJqM/2jPoEeNAJ9GUPk3QLQdOF+xo7UGBLF\nmOgQmJWnhLO89M/O//zoICHEVb792ilPv/jktD6dU50lOZuXvT9z9kfeuZF4S/q3s6WXW/Ay\nRFTPllSZ99l9L/SYevUgVpy1Y8XHc789LvtTNYrtXRuPk5t7M0Zog31gqPE/V6dP/vJvQkjR\n3pe923hD4mMX1p5hTqGn5pV+/fzJH/X87NzkIPsWPT3yhw+H/mN4+9YJ7rKz+379Zc+xYt+D\nLa0unzuhajRG1/vfiv9gVLFHIISUHPzfmBuK75s8tnvnVjn7f//uvTmb8qt6SRus3edcpfAJ\nrfrWPDFq2v5pIwdfYCo9uvGbD37eXbUSCW9I/O/dXUlQ+7H/izPomoe8gwSPLZr0L8OTN46+\nuE2UsHvlp88tPVb1+01pT11UfTE0yP1eX4C72BjZ13Hyb++HFj0864FXoqaOG56WGO2ylZ7Y\n/9unr1ZXvReNaRPE4+UE99cRqDtu6/zzq3u9t7O+fWBc2e83XjE8hS/csW7Jou93KPWvNCDA\nPaLqcSMQaaNfa2Uc6O1+aju1ZNwY9z13jG1Fcrf9snDxyqNN+c1nfvn0gzOyy9pefMd9PSON\ngR40gngZQ+LdAtBk4V7YUb7WIMoyQbTyPCGkzxNfXvz9RZvz7YSQU2s/mLT2g7o/yBmnvPtd\nZoS/F9AYPXhc68jvz1adPFv37qPrzi3WSjmTb5i94DxZ86cSe8WRw1Wl0o7/jOzzjLnf65sb\nM4l8j4duJ18+XnNLwvnPtqo3I4MiT+3cQw0zli49dcU1q49Xdfp2lWWt+WZh/QcaI7u/ufx/\nvuXODJG9F70+4cr7q0by5u9YMnPHknoxTPcsWJIgNfOcgiypSY4zBRsWzd2wqG7TJbO+846M\nC2I/WlP/+dZtn0z/tKrK2TT/+U3z6/7+Uc8vTTNVXwQOer/XF9Auppz15XsvmPjaVkIIY2zV\n3IdXzZX4nbFd7vp3l/ggHi8nuL+OQGXe9VbqvMvOnLu2fmT1ghdWL/C1mjja3OeZvALaIyof\nNxqPN7f/aNY/xj2xwnu35M9lLz60zNfalBfz9PL331ou2xoz4e6ekcZADxpBvIwh8m4BaKJw\nvxRriOxVc/XSpYeqluTiTW3eWv3NiEzp9Q+N0ZkPfrJ5xqiGp5Z9dNHsBGPdeR94S9uHPlvt\nu+so/Ob1VdVreHd7ZLqlxvwdHkdjB5pZW0+9JL5Wf+bhz1xa/2FKPbWqx0f1en31uruvH8LL\nnxxof9GtCzf/MrR1rX70Gde9+fUb99V/cap+bWTGw59t+degwBa0CELbMZ/eNii1zkZK+Uum\nz39rcvXIuCD244jZK2dOGcpJvSyUs4x79KtXJ9aaYyLo/V5foLu49wPfPHPbMD97ML7n1fN/\n+C8f7OPlBPGqBspg7bngvacypSbvSDz/rtkd/ZWeCgp0j6h53AhI5qSFL98p0Tui/10fXZ3o\nbz5zRQR60Aj0ZQyRdwtAE4V7YccbUye1i/bd/fD6a3y3zYkD5q3d9/4rT44e3j+lVbzJYE5p\n33XA8NF3PfP2ij82335Zo6axiO026ec1X9581fDUhGjeYGnVrvvYO55YunPblEu7D08415+D\nsW9f3Ov7kci2t36/4MXh/btHR5h4gzmudceurRp7xLzvtupagTe3e7hXouTDFHlqNf6h9vfP\nXbZ+xeIZ0yb3P69rSlKcgTdGx7fK6DFw3JR/v/X9zuVL3ugltTRFz/Ez1+ze+MSMuwaf3y0p\nPsbAm2ISW3cfNHrqE/NW7tl626XNfhGWEEKp6eGvtz3/yNSeHdpaTYbopDYXjL71paW73nn0\nypoPC2I/Emq68dlv1/z02W0Tx3VNbxNtNRksUSkdel1xywMfrd7zwvSRdZI0Zb/XF9gupqab\nnvtm/Yqvpt85cUDfHolxMWYDz5usCa07DBhxzSNvfrlm+SddoozBP15GMK9q4NJG3fvd7j2v\nzn5kxKBereKjDJbo1E79b3543orvnrOqePwLaI+ofNwIyJUzv/np8zfGjRyQnBDNmyLTug25\n9/WfFzwzrjn+rfoCOmgE8TKGyLsFoCnogRzpNbYB9OrshvEjb1nvvd156spl/z1f0zgAenBr\n9zbeCX4tcf/Ytf8LreMAhK9w72MHAACNcXzRPY9+UTVdXELvJ95/qbqnR+mhd33LNkSmX61B\nOAA4B4UdAAA0LL5/qwOPVS2PRvf/c07Pj6eOGxYpFO/d+PWz/3nF97Drnv+HRgEBgBAUdgAA\n0Bhx3Wc/fs3aF5cdIoQw0bng8VsXPF73Mb1ve/eBvrJLawCACtAdFAAAGuXWeevn/XdqepzE\nuFFras+7Xvn2i+fGq58KAGrC4AkIO5U5P32z8pT3dtx51159YStt8wC0LEywHdi+5cCBw0Wl\npR4aEZvQukvvvhf0625QdD5kAAgOCjsAAAAAncClWAAAAACdQGEHAAAAoBMo7AAAAAB0AoUd\nAAAAgE6gsAMAAADQCRR2AAAAADqBwg4AAABAJ1DYAQAAAOgECjsAAAAAnUBhBwAAAKATKOwA\nAAAAdAKFHQAAAIBOoLADAAAA0AkUdgAAAAA6gcIOAAAAQCdQ2AEAAADoBAo7AAAAAJ1AYQcA\nAACgEyjsAAAAAHQChR0AAACATqCwAwAAANAJFHYAAAAAOoHCDgAAAEAnUNgBAAAA6IRB6wAA\nAJrhKytMBbnMbHElJItGo9ZxAACaCoUdAIQjvrIiceOq6L/3E8YIIaLRXDxoeEnfCwmlWkcD\nAAgeCjsACDtUENK+WWgqKfBWdYQQzuNK3PQLdTqKB12iaTQAgCZBHzsACDvRf+0xFef7qjpC\niPd2/M7NnKNSs1gAAE2Gwg4Awo4l5ySRuuJKRTHiTI7qcQAAFIPCDgDCjtFWTph0E3W71M0C\nAKAkFHYAEH7kqzcqyFR8AAAtAQo7AAg7zGiWbcNBEQBaMhzDACDsCFarbJMlQs0kAADKQmEH\nAGGHr7TJNQnWKDWTAAAoC4UdAIQdQ1mZXJP1+GE1kwAAKAuFHQCEHc7tkGsyYB47AGjJUNgB\nQBiSXTfMY7KomQMAQFko7AAg7AgRstWbEB2nZhIAAGWhsAOAsMPb5S/FVpSomQQAQFko7AAg\n/IiCXAtvt6sZBABAWSjsACDsiCbZCYpFk0nNJAAAykJhBwBhx9m6jVxTeZfz1EwCAKAsFHYA\nEHYKh19BqMTRz9UqxZWUon4eAACloLADgLDjsUZWdOpaZyOjNH/I5ZrkAQBQCgo7AAg7EadO\nRh09WGcjZSx1+ddEFDWJBACgCBR2ABB24rdtIExiO+d0WE8eVT0OAIBiUNgBQNgxFhfKNVlz\nTqgYBABAYSjsACDscIJHtk2UOpUHANBCoLADgPDDZDvSMbNRzSAAAMpCYQcAYYfxBrkm6nKp\nmQQAQFko7AAg7Agmi2xTZJSaSQAAlIXCDgDCjhAbL9dka99ZzSQAAMpCYQcAYYdzVMo1GcuK\n1EwCAKAsFHYAEHb8THcSeeKImkkAAJSFwg4Awg+TndOEcznVDAIAoCwUdgAQdkRLhFyTs1Vr\nNZMAACgLhR0AhJ3KjEy5prIu56mZBABAWSjsACDsuGMSpBsoIQZe3SwAAEpCYQcAYSfy+EHp\nBkYiTmWpmwUAQEko7AAg7JgK8uWaLDknVAwCAKAwFHYAEHaoxy3XZMI8dgDQkqGwA4Dww8l2\npBONsquNAQCEPhR2ABB2hAjZ6U5s8gNmAQBCHwo7AAg77rgkuSZPdKyaSQAAlIXCDgDCjmgw\nEEolmwz2CpXDAAAoyKB1AADQF1GM2bvTejpLNPD29Mzyrr20DiRBtEbKNXksVjWTAAAoC4Ud\nACgmIudY6x+/5lwu793ov/Yl/Lr6zHW3ueLitQ1Why2jc/SBP+pvF0wWZ/R3EHwAACAASURB\nVFp79fMAACgFl2IBQBmcy5H23Ze+qs7LUFGe9vVHWkWS42zVWvJSrBAVJRqM6ucBAFAKCjsA\nUEbC5tWECfW38w57zF971c/jR/Sfuwlj9bebigpMRXnq5wEAUAoKOwBQhvXkMdmmwwfUTNIg\nU2G+3OAJU2GBymEAABSEwg4AlME7KuWaTCWFaiZpGM9JnK8jhBDCOBwVAaAFwyEMAJRBpS5u\n+hrVy9EIjtR20mkpdaS2VT0OAIBiUNgBgDIYJ1u9MYPsEl6aKO/RzxMdy2qVm5QQUtp7gGCN\n0ioVAEDTobADAGUwo1muSYiQnTdOE6LReOq6yfb2HXxbGM8VD7i4cOgoDVMBADQd5rEDAGX4\n6Z0mmixqJmkMT2zcmWtuNRXmmQvyBLPZmZwmyM9aDADQUqCwAwBlUI9bromvLFczSeO5EpOF\nqGjRaGJcaF0sBgAIDgo7AFAGFWUHT3Bu2ZpPK1QUYvfsiPt9C2+rYJS6ktMKhv7DgWUnAKCF\n07iP3dLp4yaMf7nmFsF+7IMn/3XTpX37dcm8dvyUH3dhslCAlkGwyF5vdUfHqpmkYYyl/LQk\ncdMvvK2CEEIZM+eeavPNZ1GHQmsiZQCAQGlZ2OX8/ODM77YcPXLGt4UJZQ+NvOztRT+3Hjju\nzjsmGP9e/fj1gxcfK9UwJAA0UlnvAXJNxYMuUTFIwyKPHYo8frjuVsZarVvOyV9QBgAIfZoV\ndq7SLVOmf1ln44kvp6zKKr/8zbVz58ya9uhzizZ+m8Lb3pj8hiYJASAggtEk10T9zHCnhZi/\n9khu51xO86mTKocBAFCQRoUdc78xfkp524nD4mpdu1k893fe1HrW2E7eu6aYAc9e3rbixLs7\nyl1SvwUAQkj0of1yTVEH/1AzSYOMBbJ9PCy5p9RMAgCgLG0GT+x956bP/+bmbX9+2cilvo1M\ntC/Nq4zqMCuSr541tPPUnuyHE19nVwzokRDQPxFpNvJYGghARUanXa7JYrfFRMjOcqc+g0M2\naoQgCKEUFQDCmcPtcXmEgH5Eg8Ku/PgXt7/y68iXNg1vFbGsxnZ3xTa7IMZnZNR8cERqf0J+\nOr2rgARY2CXHREaYMOYXQD0uk1HuimtEbGxMQrSqafxyCrIHyijRHRdKUQEgnJ0pqQi0sFP7\nnJboKXj0useiLvjP6xO71G1yniWEWNvXmiOUN6YSQpx5TtUSAkBwaHSMbFNcvJpJGuZnWVub\nTcUcAAAKU/uc1srHxv1qS/9qwf1yi0rS2stNMmYnhIhusfmjAUDTOOW/gMlf+tSG6JFt8uBr\nJAC0YKoWdoW7Xnhk8d+TF+3uHmms38qZWxNCKrNqfV32OE4SQiwpAa9H5BHFQM9eAkBTsNJi\nuSbh7Fmxhfw9ipWVOHQAQIgQ5Cd+l6NuYbdtHWNs/i195tfavKhn20WRqfdt2/aohaeVJ2oN\nSXMXHyWEpFyQGOi/lV1Y1qSsABCgdEGUO6BUuj1ncmXLPvV1IpQQ6cOl22Y/GUpRAQAComph\nlzRg0r0Pjqq5ZcV7b2Rx3e+6e7QpeiDlLDcmR36e9ZqbTTCeux57YuEhQsjEDNm+OwAQKkQ/\nJ7pCrTeFbGHniYpSOQoAgIJULewSBvxzWu2p6f+eP+8M33vag4947974wPkLHt04+/9OPDs2\ngxAiOI8/+/2J6Ix7BkbLTnwKACGCGWSPJyIXWkPUXXEJpuICyaaSC4aqHAYAQEGhdbRNv+mj\n0e/0//7fV3B77+qTbln9yWtHXJaZnz6kdS4AaJhokJ/+jQ+tQ03uVTe1W/hO/e2iyWxL76R+\nHgAApYTWFL6cIX7Oql+mjOuzcfHcWbNezYkf8tw3W2/oHGLLhwOAFFer1nJNjrbpaiZpkCs+\nMW/kVYTWOgCKloisW6dpFQkAQBH0QE6+1hkAQA+MJYXtF0icBmO84cSdD4umkOtQwbkcsX9s\njcg6wSwRFV3PK+/cg1C5iZgAAFqG0Lo+AgAtlzsusTK9o/XksTrbS/teGIJVHSFENFmKL7yk\n+EKtcwAAKCe0LsUCQMtlKsy3njxef3vsH79Rt0v9PAAAYQiFHQAoI2HrOsk5RKgoxu3Zrn4e\nAIAwhMIOAJRhLC6SazLnnlYzCQBA2EIfOwBQBjPwck2iUWIVQc1FH9idsHUt76gkHO+OTTpz\n5XWe2IAXuQEACCk4YwcAyrC3l50Bztall5pJGqPt0k+T1/xgsFVQQaRut6ngTPpn78Qc3KN1\nLgCAJkFhBwDKKLpwmGiUGP3qjo23ZWSqn8eP2AN/mE9n19+etPoH4vGonwcAQCko7ABAGYw3\nnLphimiOqLnRExOXc+MdWkWSE//bWsntlLGYfTtVDgMAoCAUdgCgmMQtazmnveYWQ1lJ/K5f\ntcojh7Pb5Zpijh5UMwkAgLJQ2AGAMiKyjlpP/l1/e9zvvxnKStXP44+fBSZE9VIAACgOhR0A\nKCP68J9yTZHHD6uZpEGMlx3Aa2+boWIQAACFobADAGWYCnPlmiy5p9RM0iB3bIJckzOplZpJ\nAACUhcIOAJTB5C9w+jlDpgkhJka+0c9lWgCAUIfCDgCU4WjdVq7JntZOzSQN4m0Vck2ixapm\nEgAAZaGwAwBlVHTvTajE6S7G8baMrurn8YO32eSazLk5aiYBAFAWCjsAUIYzObW0z0BC6l7M\nLBh+uRgRIfkjWuGcDrkmU3GBmkkAAJSFtWIBQDEFwy53pLaL27HRVFRAKHWmpBUOHulIa691\nrno42e+0kotnAAC0FCjsAEBJFZ17VHTuQUWBEeqnftKWOy7BnHtassmB6U4AoCUL0cMuALRo\njONDtqojhDjaZMg12VNDa5wHAEBAQvfICwDQTEx5Z+SajCVFaiYBAFAWCjsACDvGkkK5JuuJ\nI2omAQBQFgo7AAhDsrMQU8LUzAEAoCwUdgAQdpxJyXJNFR26qZkEAEBZKOwAIOwUDv2H5Ek7\nT3Ssow0GTwBAC4bCDgDCjjs+Ke+yqxlXawVbT2R0zg1TtIoEAKAIeiAnX+sMAAAa4Oz2uN1b\nLbmnRKO5smOXsm7SS6IBALQgKOwAAAAAdAKXYgEAAAB0AoUdAAAAgE6gsAMAAADQCRR2AAAA\nADqBwg4AAABAJ1DYAQAAAOgECjsAAAAAnUBhBwAAAKATBq0DAABogwpC5LFDxqI8ZjDZ09o5\nU7FKLDQ7zuUylJd4ouNEk0nrLKBPKOwAIBxZTmcn/7LMWFbs22Lr2DVv1DjRZNEwFeiYqTA/\nadPKiKxjhBBCaWX7joXDLnfFJ2mdC/QGl2IBIOzwlbbUH74wlpfU3Bh57FCrVT9oFQn0zVSU\n1+brjyxZx6vuMxaRdazNVx8biws1zQU6hMIOAMJOzIE/OJeTMFZne9TRv4ylxZI/AtAUCb+u\npR4PJdVvOcoY53El/LZWw1SgSyjsACDsmPLPyDWZ88+qmQTCAmPWrGO03hcJwpj15BEtAoGe\noY8dACiMc7msZ08KvNnROo3xoXiQMZaVyLZ5PCoGgbBARZEK0u8rzuOhosg4nGQBxYTiMRcA\nWijO6UhbMt9clOe9ywixt+90duzEUPvc4ivK5JqM5aVqJoFwwHhesEbxlTZC6p6080RGh9pf\nB7R0eD8BgEIYy/jkdV9VRwihhFizjrZf+LaGoSTxbpdck6mkQM0kECbKuvepX9URQsp79FE/\nDOgbCjsAUEbSxl+oW+J6k6G0JCIrxDoSCYJcC1dpUzMIhImSgcMcae0IIYRSQgjhKCHE0Ta9\n+IKhmuYCHcKlWABQRtRfe+SaEn5bd6p9ppphGiBx6qQKFeXbAIIlGo2nrr8t+s89UUcPGsqK\n3bEJtszu5d16V9V5AMpBYQcAyuBdstc3jWWyfdo0QeUrOypi8AQ0D0rLe/Yt79lX6xygcyjs\nAEAZjBIqUy9RIqqbpQGM46jM1VjBbFU5DIQJzu2K27k56u+DhvJST0xseeeepf2HiEaj1rlA\nb1DYAYAymNFInU7JJnd0nMphGkA5QmQKOysKO1AeX2lrs+QT3/TXxpLChO0bow/vz7nxdtGC\ntxwoCYMnAEAZgjlSrskdE6tmkoYx2TOInMetZhAIEwlb19Va1IQRQoixpChh6watIoFeobAD\nAGVQuQuxhNBQO9TI91in8j0FAYIWdXCv5Pbog7tVTgK6F2JHWwBosaj8mg2cvULNJA0STWa5\nJndCKzWTQDiggsDJrTzhdlNRdvIdgCCgsAMAhchPDic3UkErlRmd5ZrKep6vZhIIB8zvnCaM\nYMYTUBIKOwBQhp+JQqgYWqNi84eNZgaJoWOV7Tu6Y0NsnAe0fJz/OXRC7K8DWjoUdgCgEPnP\nJ85uVzNIg5jJlH3zXa64hBrbaEXXXmfG3qxZJtAvRv1+1GKtWFAUpjsBAGVQP1eUuJC72OSO\nS8qedJ+xpCgi+6hgjXK0zRDMEVqHgnBEGcNqJ6AgFHYAoAxmNFGZuUI80TEqh2kkd1yCu9Z5\nOwDlMd7AeF6yp6m3Sf1IoGM4AwwAyhAsskNNBWuUmkkAQk1Fl16S28u791Y5CegeztgBgFJk\nr7dy8jOhaMhy6mTcH1vN+WcFs8WR1r544FAUoNBM8kdeaTmbbSwurLnRlZBUcMkYrSKBXqGw\nAwBl+OknJEgNQdVWwm9r43dsJpQSxgzlpeaC3Oi/9pwZd6sjta3W0UCHIrKOG0uKCK31d2Iq\nLrTkHLe376RdLtAhXIoFAGUwg0m2KcRWwzSfyY7f+SshhNTots65XCkrv8XcE9AcErZvJITV\n/fbDvNsBlITCDgCUwbmdck18RamaSRoUfWgfkRqJaCgrseSeVj8P6Bxj5txTUue0mflMjuRb\nESBoKOwAQCGi/FqxIXYaLOLUSbkmU2GumkkgHFAmylVvlDAUdqAsFHYAoAxPVLRckzsmXs0k\nDeJtNrkmU0mRmkkg3GFBMVAaCjsAUIajfQe5Jns72SaNyJ8jEULr5CLoAKOcXPnGCPW/kixA\noFDYAYAyyrr1JVJLJ4lGkz09xMb9yS/xxExGNYNAOKCs3rAJXxMuxYLSUNgBgDKo4CFM4nQX\nFcVQOw0mmjGXMqingcINZ+xAUSjsAEAZcXu2S26ngify6EGVw/gnys/MIsjXfADBof5LO5yx\nA0WhsAMAZZjP5Mg1WXOOq5mkQZwosWpnFfmxvQDBoR7595v3VDeAclDYAYBC/FxQCrFqiUkt\nx+5lcNjVTALhQPS78gozoFsnKAmFHQAow9mqtVyTvU26mkkaZLDLTnfCOWSbAILEcaJR+uq/\naDKjjx0oC4UdACijrM+FktsZz9s691A5jH+c4JZrMuXlqZkEwoRD5ruNo21ofecBHUBhBwDK\ncCYlF/cfQkjNUX6UEJo34irBEqFdLgl+eqtz6PAEzcCcf1aqswI15WOlE1CYvwv/AAABKRoy\n0tEmPWHHJmP+WcJxjrR2xYMucSSnaZ2rLtFo4p0OySZXcorKYUD3qCjwtnKpFmaoKKOiyDic\nZAHFoLADACVVZmRWZmRqnaIBlZk9og/8LtlU1G+wymFA9xjlCOUkZ3lkhKKqA2Xh/QQAYSd/\n+GhRaihiZYdugvyKtwBBopTJDJCgqOpAaXhLAUDYYQZD9qR7nSltqjdRWtL/4jNX3qBdKNAt\nKghUlFl8RfBQP7MqAgQOl2IBIBx5omJybrrDWFZiKsgVTSZXq1TBbNE6FOgT43nRYOA8EuNy\nmMHAOF79SKBjKOwAIHy5Y+LcMXFapwD94+RGYmM9MVAaLsUCAAA0IyoKRGaxEyoIRO4qLUBQ\nUNgBAAA0J79L6lGp0bIAQUNhBwAA0Jz8LxqGJcVAUSjsAAAAmhHjeSZXvVGKwROgLBR2AAAA\nzcsjM0bHFZegchLQPRR2AAAAzYtzOSW3807p7QBBQ2EHAADQjKgo8PZKySbebpOduxggKCjs\nAAAAmhGjHOOlZ40VDQasFQvKwvsJAACgOVFamd5JYvwEpZXpmVoEAj1DYQcAANC8ii4awYzG\nmrUdI1Q0mooGj9AwFegSCjsAAIDm5UpslX/pVcxg9G1hRmPeyCvdcYkapgJdQmEHAADQvCy5\np5JXLePcLt8Wzu1KWfm9Oe+MhqlAl1DYAQAANK+kdT/XH/1KRSFp/U+a5AEdQ2EHAADQnBgz\n55+VbDHn4owdKAyFHQAAQDOiokAYk25ijAqCynlA31DYAQAANCe5hWIJIYTKLiMLEBQUdgAA\nAM2IcbxosUo2CdZIggmKQVF4PwEAADSvoguHSW8fNFzlJKB7KOwAAACaV2nvASXnX0RIjQmK\nKSnuP6Ss5/kapgJdogdy8rXOAAAAoH/mgrzIY38ZyordsYm2jl1ciclaJwIdQmEHAAAAoBO4\nFAsAAACgEyjsAAAAAHQChR0AAIB6qIgZiaEZGbQOAAAAoH+80x6/dUPU0YN8RbknKtqW2aP4\nwuGC2aJ1LtAbDJ4AAABoXrytvO3ijwy2iuq1xSj1REXn3HSnYI3UNBroDS7FAgAANK/E39YZ\nKsprrRjLmKGiPOG3ddqFAn3CpVgAUBRj0Yf3R2QfZxxv69itMqOT1oEAtBd55KDEVsaijv6Z\nP/Iq1eOAnqGwAwDFWM7mpH7/Bed0eO/G7N/ljok9dcMUISpG22AAGqKCwLmckk2cw0FFgXG8\nypFAx3ApFgCUwbmcbZbO91V1Xsay0vZffFDrChRAmGE8L/LSp1GYwYiqDpSFwg4AlJG4fgUR\nxfrbOYc96tA+9fMAhA7KJP40CCGSfzIATYHCDgCUEXnisFxT3J4daiYBCC2CQGUKOCoKqO1A\nWSjsAEAZcr2ICCGGshI1kwCEFE7udB0hhBCKjgqgKBR2AKAQ+Y8n2etQAGFANBhl2yhlPPrY\ngZJQ2AGAMqh8ZccIVTMJQEihgr81xLDCGCgL050AgDIYx8l9gDGjSeUwAKGD8bxoMHAeT/0m\n0YhRsS2MoaIs9f++NBYVUFEUjabiAUNL+g/WOlQtOGMHAMpgMhM6EEIES4SaSaCFoh6PqSCP\nrz1jjj7Y0ztLbaaV6ZlqR4EmiDzyV/onb5ryc6kgEMY4lzPx19Xp89/SOlctOGMHAMpgZguR\nGT+B1TDBP2NpccqPi81Fed7r+aI1MnfUNZXt9bNsicwc3UyIxtzdLUnr5UvrbzSUlSRuWFk4\n/HL180jCGTsAUIYnwirXJFhlmwCMpcXtF75jLszz9dLkKm2pyz6POrxf01xKsh47WL+jKSMk\n8shfWsSBYEQdPkBkxoHFHtilchg/UNgBgDL8XFSqyOyhZhJoWVJ++U5yLrdWa39SP0xzoKJg\nqCivP7iIEmIoL5Wb4g5CTdTBvXJNVKoDpVZQ2AGAMooHDGVGiWkdPDFxlRmSHYwACCHElHtG\ncjvnchrLylQO0xwY5WRX1WOMcfggbhlMZQVaR2gUvJ8AQBnMYDg1/g7RbKm50RMTn33jHYRi\nuhOQ5eeUlaGsSM0kzQXvf12gTpfWERoFhR0AKCZ252au9pBGQ1lx7IE/tMoDLQIzyA7jcyUk\nq5mkmfAOf+N8eZcORwHrk5+JpkMJCjsAUIblVFa0VG/3+K3reFu5+nmgpXCmpEpuF00WfQy7\nEcxmf60mi59WCB1lPc+XbQulc7Io7ABAGdEHdktup4xFHjmochhoQQS58dQ8le2a1rJQGlqf\n/BAUV0IruSbGhdDkcSjsAEAZ1uxjsk0n/lYzCbQs1pNHJbdzdjtfWaFymOZCpStUhnqv5TCW\nFso1MUMILR+Cwg4AlMHbbXJNlsJ8NZNAy0I9brkm/73TWgrO5ZJbSJkywnlaRpd8cEfHyzUx\nQwitmojCDgCUQZnsWua8065mEmhh5C+38pWy3xZaEMb7O52DtWJbCnu67FIoriTZq7TqQ2EH\nAAqRv6rEMN0DBEcf7xyZ5QrOtaoVA5qGLyuWa7KczlYziX8o7ABAGYyT/QwWMe4P/JCv3twx\nsWoGaSZU9Fu7+S/7IGQkbV4r14SVJwBAh0RThFyTKy5RzSSgG4I1SusIChBNJvlRsZS1kNnR\nwFBRItsWSsO3UdgBgDKEyGi5Jn2cd4HmIv+haD6To2aQ5iOapKeyEyw4md1iOJPTZNtCqcsA\nCjsAUIYQGSnXJEbINgH4YZFZRraFYYy6nZItnFN6O4SgoqGXyTUJVtmvtepDYQcAyrCntpNr\nciZLLy0A4J9gkb2+34JQJlKZs5KUiX6WyoWQ4omIdEvOUUzJ6esnqx5HFgo7AFCGrXMPyV7w\noslcmd5R/TygA470DK0jKKGB/lch1D0L/Mu6+W5724yaF14Zbzg99lZXXIJ2oeoKoUUwAKBF\ncyUkFQ0ekbBlLSPEe36CEUo4mn/ZWIyKBb+oXHEjyI/IaUEYzzOep4LERI/MYMA8di0Jx52+\nbpKhojTy74NGW7m9TYatQ2etM9WFwg4AFFPcf4g9tX38zs3m/DOM4+1p7YoHDnfHY0gs+EWZ\n3Ekrc0mRPUUP1/FtmT2iDu2ru5USW5eeWsSBJvFExZb2G6R1Clko7ABASY60dmfGTtQ6BbQo\n8pciqaNSxRzNSHr9eEYciSmqZwGdQx87AADQlPwExS69nO6N27lZcnvCtg0qJwHdQ2EHAABa\n8jN2gOmidyYVRc7tkmziXM6QmtsWdACFHQAAaInKFzbGwjwVgzQbt9tPIxVCaDUq0AEUdgAA\noCXGyX4SCZF6WFKMGP0tGoZRsaAsFHYAAKAld0KS5HZmMLhDaXqwJvB3sTWUFqMCPUBhBwAA\nWsq/7CrJ7cWDhqucpJkwyjGZASJ+mgCCg8IOAAC0xJeWSJ62MhQXqZ6leVDqaJPO6j1HRom9\nXQc/g4IBgoDCDgAAtJS0eY3ktcqYP/foZsRo0UUjCOVq1XCUEo4vvugSzTKBTqGwAwAALRls\nZdINTDQV5qqbpbk4UtueuebWml0GXfFJp6/9pyOljYapQJew8gQAAGhK/rQc5/I3UUjLYm+b\nkXXLPabiAmNZiTs2zhWXROSHAwMEDYUdAABoiXGUCtK1nTO5tcphmhfHuRKTXYnJWucAPcPX\nBQAA0BLjZad54x12NZMA6AAKOwAA0JJoMsm26WXwBIBqUNgBAICWnMlpUnO5USHC6omK0SAQ\nQEuGwg4AALRU0u8iSkitad4oIYSV9B+COd4AAoXCDgAAtORo0z5v1DWiyezbwihXfMHFJf0G\naZgKoIWiB3Lytc4AAADhjnNUWo//bSot8kTF2Nt1dMfGa50IoEVCYQcAAACgE7gUCwAAAKAT\nKOwAAAAAdAKFHQAAAIBOoLADAAAA0AkUdgAAAAA6gcIOAAAAQCdQ2AEAAADohAaF3ck1n9x7\n3fBBXdv2ycy4asz1HyzZXrNVsB/74Ml/3XRp335dMq8dP+XHXXnqJwQAAABoidSeoDh/y/Mj\nb5prTOpz3Y2jEmnZb98v2pldMWL2xnm3dyeEMKFsxtC+a055RkyY0jVBWP/lZwdLzE+t3XVT\nx1g1QwIAgMpMRXlRh/YbS4s9kdGV6Z3s7TtpnQigRVK7sJt1QcZ35Z2+272yQ4SBECK6z07q\n3X+f0PH3Q5t4So4vuv6qxzZeMe+3V6/NJIS4ynaM6Te2Iu3urZv+q2ZIAICQYsk7HbNvl7Eo\nX4iIdLRJL+09gPG81qGUFL9tQ/z2jZQxQjlCGGGsolO3vNHXMd6gdTSAFkbVS7GiJ/+b3Mqk\nC57yVnWEEM7Yelq/Vp7Kv/6qdBNCFs/9nTe1njW26ouaKWbAs5e3rTjx7o5yl5o5ASB8UFHQ\nOkID4retb7P44+g/d5vP5EQeP5y46Zd2i941lJdqnUsxUUcOJmzbQBkjhBAmEsYIIVFH/0r4\nbZ3GyQBaIJW/DHHPvv5WdKfeNTcVlLo4PqKtmWeifWleZVSHWZE89bV2ntqT/XDi6+yKAT0S\nAvqXIs1GnsPQEACQwZhl3+8R2zcbivKZweBuk2G7ZJQnJU3rWHUZTx6N27bRe5sS4i16jGUl\naWv/r2TCHVomU07cn78TSr1PrRolsft/94y4Qk/nJjlbufH4EUNpkSc2wd0hU4yM1joRhDqH\n2+PyBPblU9XCjjMkjhs/wXvbXlZUWpz7x6qFM/cVZN40P9bAucq22QUxPiOj5o9EpPYn5KfT\nuwpIgIVdckxkhAnn8AFAmvuL+eKeqnqCut2mrCOmBUeNt9zOnde74R9WkfvHXWL9rYwZTx5r\nw3loXLz6kRTnKsxjdao6Qggj1OVMM4g0Pk6LUMoTNq/3LP+BeDxV9w0Gw1XX8hcN1TQUhLoz\nJRUhXdjV9MTFfX8pshNCki+a9sWcKwghovMsIcTaPrLmw3hjKiHEmefUIiMA6JN46E9xz++E\nkOqzRCIjhHi+/crUrQcxhNB3QvHoIbkmdva0Pgo75qt16gulfdEU4u87PP/3ba1NHo9n2RJq\njeT6nK9RKNAnzS5W3vb6+y+98vId44cXbXtv7KQX3OeOrpSjNR/GmJ0QIrolvrICAARHPLCX\nUFpvM2O2CvHkMQ0C+eF2y7WI2SfVDNKM5J8jjbCqGaT5uH/8VnK75wfp7QBB0+zLUJ/LxvQh\nhEycclmnyye+9OZL+//1aHprQkhllq3mwzyOk4QQS4ol0N/v8ggSx20AAEJoaZlEpy5CCCHu\nkmLmlj+BpDoqfyDzGIyeUIoaND/jVxxZJ0m7dDXDNAtRpJWVki2soszhckt9zQAghBCPEPCJ\nLVULO0f+hpXrz2RccV2fKJNvY+fx48lLv+/fnGfsOcjC08oTp2r+iLv4KCEk5YLEQP+tU8Xl\nTQ8MALrUymiJEaUPl6cF3p5XonIeP9pHRhtLiyWbcuJSXKEUNWidRIkK2+tUqc1pbvHPkfN4\nOkh9i/A6frZITwNEQHOqXop1Vy5/Ysb0ub/m1tzocZ4hhJjiTZSz3JgcWZb1mrvG+//EwkOE\nkIkZMWrmBAB9s3XoLLldNJgcqe1UDuOfo430+SpGqSs55MbwBke2fLWbMAAAIABJREFUrKHE\nlZisbpZmIVvTeeFsHShK1cLOmnpvrIE7MPNlm3Dufc5c3z6+lFLuhpFphJAbHzhfcJyY/X8n\nvI2C8/iz35+IzrhnYLRJ5lcCAASMt1VIbqeih7pCa6gW53RIbqeMmYoLVA7TXKjMJxEjvM0m\n3dSiML9DQBiH03WgJFUvxfKmdu8+NPSWOV+NvPTMTddeHOEu3rv26w37C7rf8sG4VhGEkPSb\nPhr9Tv/v/30Ft/euPumW1Z+8dsRlmfnpQ2qGBADdi8g5wSil9a6OUVGMOJNj69BFk1SSjCVF\nck18RTmJT1IzTHORuSxOiIYD/JREBX/TVVBRQG0HClJ78ETf6UsXJL/6/oKlX7//ql0wtu3S\nb9qc6ffccqm3lTPEz1n1S9snn/ph8dxldj6998XPvfrKuM5YKBYAlMR53JRKXyGj8iM0NWEo\nlS3sKK+LqocQymTrHupnJhQAkKLBqNj+Nz384U0Py7UaIjNnvPnVDDUDAUCYccclyvV7cscH\nPFSrWXHyc5NaD/1ZmdbyR4wSf33QqEP6SnTLwnieGYzUI/GdgRlNOF0HytLJFz4AgMYr796H\nkbqd1hmhzuRUZ1KKNplkyVY9pqI8NXNogurlQ6q8ex/J7WU9+qqcBHRPJ38zAACN50pIyh9x\nddWZEsp5O+8LMbG5o69vQTOKuVqFWg2qPEN5i5/rxKto8KW1RvhSQghxtmpdNOhSrSKBXulk\ntRYAgICU9+xrb9chdt8OU36uaDY70tLLzjs/BKcT80RGG2zSs3KW9Nf/MqOcEFpdHoMmmCNy\nJt6ZtGlV5JE/OYddtFgrOvcovPgyXIcFxaGwA4Aw5YmJLRxymdYpGlDWo2/Cjk0SDZzBY9XJ\nclt+CDF6WAyXEEIYS9qwMmbfLkIYoZS3lcfu2U6YWDBsdAs6SQwtAi7FAgCELnNBrvQHv+gx\nFeWrHqd5+Fk2zRzwepKhKXb3tph9O6t6TLKq/8fu2RG7b6e2wUB/UNgBAIQuY2WF5Jq2hBC+\nUg+T9xJCRPkr4J7oaDWTNJ/47Rukt/+2Xt0goH8o7AAAQph8JzPBGqVmkObDyS9zznTxIUVF\ngXdKr2jCO+3Uz/zMAIHTw98MAIBu+VmUQS8DCwiTfZLWnGNqBmkufks3JnNGFiA4KOwAAEKX\n3JBYQgjnsKuZRBMib9Q6ggJ4vwsQ8y49TMIMoQOjYgEgTJmK8mJ37zAV5olGkyOtfWm/C0Wj\nSetQdXEul1yTMT+PtO+kZphmIhqMnNSqDIQQe9sMdbM0C8Hv+0o0mlVLAuEAhR0AhKPY3dsS\nN/3iXTCWEmrNOhq7d8fpa2+tNYtsSJC9imfUy+S9JQMuTvhtXf3tjtS2JPRmFgwC81vYMQM+\niFsSg6289Y+LTQV5VBREs6XowuGlfQZqHaoWXIoFgLBjLshN2vQLJYwwRhnz9vHi7LaU5d/K\nDUHVCuNkP/Xd8UlqJmk+xQOG2jp1q7PRHRt/+vrbtIijPD+nXQkhcmcrIQRZjx9O/+QNc+5p\nKngIY5zDnrRhRfsF72idqxYUdgAQdqIO7iGM1VmFlTJmKsqz5J/RKJQ0Z2IrmRYqt/xoi8NX\nlEecyqq1iVJDeanldJbMT7QwjPf3UcsoPohbjNQfv66/erOxpDBh0y9axJGG9xMAhB1jWYnc\npLjG4iKVw/jHO+VGSDCilwUL4ndu5uo8TcYoY4kbV2qUSGGMNxCZ6o1RLgQXsgNJUUf+lBvB\nHb93h8ph/EBhBwBhhxlNcldcBXNo9WQ3lJXKNcXu+lXNJM3HmnVU4go4Y+aCXM5RqUUi5ZV3\n7iG53datl8pJIGixu7fLtgmCikEagMIOAMKOMz6J1r+gQgih1JHaVvU4/lD5Pn+W/Fw1kzQf\nTmbyXkII77d3WgtScNnVzlat62x0JqfljbhSkzwQBGNxgdYRGgWDcQAg7Mhe32TMWFriTI5Q\nN45flJO7+uNMSVM5SzMRYuN5u8TyaIznPZE6WV1DNBhzJtwZdWhv9F/7jSWF7vjEim59yrv0\n9LNOLoSe0BpZJQeFHQCEHWNpMaFUcgCssaTImZyqfiQ57oQkY2GeZFPR+YNVDtNMqFNmhl5G\nGK+jDylKK7r1qeimkyEvYcgdk8jbc7RO0TBcigWAsMMMJrmv3swYWksd5Fw3WXKUREVmd6KX\n+c8MxYWS26koGOw66WMHOlDWd4BsWyideEVhBwBhp7JtulTfNcp43pHaToNA8sSIiOzJ0z1R\nMb4tjNLigcNyx4zXMJWypPs7EkIIsWQfVzMJgB+yp5YJEQ0h9IVQJ1/4AAAar6J777jdW01F\nBdVXYykljJVcMFSwhFIHO0IIIe7YuJO3P8B5PObT2UJcnCsmXutE6hEjQm53NBHnchnKSzzR\ncaIp5NavA//8jGQi8hOJqy+EogAAqINx/KnrJif9uir64F5vbSeYTMUXjSjtdYHW0aRRQYjI\nOmosLhDKS1gb0R2XqHUiRcn0dySEuHVUxZoK8lJ+XmIqqbru7ExIyhsz3pUgNwE1hBxHmwy5\nJpHHGTsAAE2JEda8y8YVDBllLsoVjWZXYnLIzhNrOZ2Vsvxbg62s6j6lpb37Fw69nHEhGjhQ\nnuhYQ5n0ureCNVLlMM3Ekne6zVcf1dxiLipo9/n72RPvciWlaJUKAsJXlMk1GezlaibxD33s\nACB8iRER9jYZzuTUkK3qDGWlad8uqK7qCCGMxe7ZmbTuZ+1CKazsvPMlt9s6dBGNOrle2fr7\nLyS2Mpa67HPVs0CQ4reul28MoZlQUNgBAISuxM2rqCgxj13Mn7v9zOvbspT0HeRs3ZYQwnxD\nCykVIiILho3WMJWSGONlhvca7BUqZ4GgUbdbti2E6joUdgAAISzi9EnpBsYiso+pm6W5MIPh\n1A2TC4eOciWmMN7gjk0o7TMwe9I0T2yc1tGUwflZP4MRzq2T1TV0z9a1t3xjCM13gj52AACh\ni/N45JoM8j1+WhzG8SX9BpX0G6R1kObhd3kJhsUnWojigUMStq6VPDtnS++kfh45OGMHABC6\nBItFrsmdlKxmEgia/5lNWChNgQb+5V9yRf2NzGg+O+5m9cPIQWEHABC6bJ17SG5nvMGe1l7l\nMBAcKgrybUSyDyWEprLeF5y8/UHBGll1npXjyvpdeOyeR7XOVQsuxQIAhK6iAcOjDu7jK+t2\nsS8Ypp/pTnSPUY7xPBUkyjvRYGQczrC0JJ6oqBNTH9I6hT94PwEAhC7RZMqeeGdFlx6+flqi\n1Zp7xQ1lvfprGwwCQGlleqZEXzpKK9MztQgEekYP5ORrnQEAABrAO+3GwgLBanXHxBOc42lp\nTIX5bZZ8TN1u37JUjFBmNOVMmOqO19c6IqA1FHYAAADNzlRUkLRxRUT2ccIYobSyfaeCYZej\nqgPFobADAABQCedyGcpLPDFxullUA0INBk8AAACoRDSZXImYpwaaEQo7AIBQZyrMi9n/u6ko\nX4iw2tukl/fshyGxACAJl2IBAEJa/M7N8b+to4xVDYxlzJXQ6vS1twqR0VpHA4CQg6FVAACh\ny3I6K2HLWupdxYgxwhghxFRckLz6B42TAUBIQmEHABC6Yg/8QSituzolY9asY3paKxYAlBJ8\nH7u1K5c38pEjLpdYWw0AABpkLClkhEisEs+YsaTIExWjfqRmYiwsSNiyxlRS4ImKLes7wNah\nq9aJAFqk4Au76XdMauQj0Y0PACA4otEsUdURQghhfpeWb1la/99i6/FD3mdqKi60Zh9zxyRk\nTZqGqZgBAhV8YTd/6fe+28xd8Nb0+/Y7Wl83ZdKF53eP5h0nD+38+r0P89PGzl/4rBI5AQDC\nkb1tekTW0frbBbPFmZSifp7mkLBlbeTxQ3U2GsuK2i3+KHviXZpEAmi5gi/sBgwa7Lu9/bGh\n++0dF2z7pXdc1TfIwSOuvPG2iZPPv/SBOeN/fPXSpsYEAAhLtg5dErasI3U72RFnSppuZjyJ\n271Ncrsp/ywRRZy0AwiIMn8wry471u66V3xVnRcf0eWxiZ2yf5ipyD8BABCGov/cXb+qI4RG\nnDrJOZ0aBGoGVPDINUmerQQAP5Qp7LIcHs4o9as4IrrOKPJPAACEIUvuaamxE4wKgqkwT4NA\nzYHVr1yrUCaqGQRAB5Qp7EYnRGQtnX3KJdTcKLhy3vzymCXxWkX+CQCAMGSwlUudsSOEECr+\nP3v3HV9lffd//HtdZybnZG8SSCDsrYgKRRGcuNBqEWvV2lpb7XC0vduftXdrtbe1rbW21aq1\nzrbWVcW9AQEVERSRoawAAUL2OHtc1++PUAzJuQInnGuck9fzcT/uB7k+kO+njPjO9/qOeMLn\nmSTmzTO7BSDNpCbYffs3F0Q63/3y3IWPPvPS2k8/37Z+9dvP/u07J89+ryN85m0/SMkQADAY\nDe4pKzmSIa+bAcOk5q7YitPueOhm+w23PnL7tUsOPLQ5ii6++T83nVaVkiEAYBBS3Fmis0Oj\nqPkGM70oTpdWgItmys5fwDCpCXZCiGO/efuSi7634s0lm3c0xGRXac34GXNPKs+K+nxBrzcr\nVaMAwKASzi9xNO7rc/WEEEJEcwuN70cP/pHjczZ81Pd5pKAo7nIb3w+Q1lIW7IQQdu/Q2edd\nOrvHk4alXz3tis2fbEvwLxYAcEi+cZNzPl/X66EqSeGKqlhuhqw/a5ozL6u+zt7Z1vOh6rA3\nnPtVs1oC0ldqgp0a9//rl9cvWv5xe+igXevNu+slN9fCAMAABapr24+ekf/R+6qQJFURkiRU\nNe7NaTz1PLNbSx1JlsPB3s9iiippXboBQFNqNk9s/OP8/3voWV9udXVpfPeuXcPHTRozbpSt\nbZ+UP+vnDz6RkiEAYHBqmXXq7i9f7hs9PlJUGqyqaZ0xd9el343mFZjdV8pUPvWAHA71fqoq\nwx67x4x2gPSWmhm7Pz64KX/MjS8vul6N+08fPfLoW+/+9hBvqPnd+TMWBsqyUzIEAAxaocph\nocphZnehF1djQ8LnUjwmh0MKy+yAZKRmxm61L1o5/zQhhGTznFOctXJdmxDCXTzzNwuG3fft\nx1IyBAAgM2nv7s1b96GBfQCZIDXBLs8mRX3R7h9PrshufH3/bRND5g3p2n5vSoYAgEHL2dJY\nvPTVIc8+VvbqM7nrPhwMRxN3k0KcYwckJzXB7oJy784n72qIxIUQFadVNLz9aPfz5uWZcuMN\nAJik4MPlVf+6L2/tB1n1dd7NG0oWv1z1r/tt/i6z+zJCpLzS7BaANJOaYLfgD5eGW146fdLU\n+nB86IVfCzU/+dUbbn7wzpuuvm9T3hhungCAAXLv2Vn47tv7z7FT1e5rVZ1tzaVvPm9yZ8aI\nxQ79cwD0kJrNEyXH/+KZv5Xd89hrsiSySi//3ZUv/OSBu9eqqrd6zp3/uDwlQwDAIJS3/qPu\nI04Oeqqq2Tu32X2dMW+uSX2llKS5zC5SVGxsK0DaS9kBxWPO+M5dZ3yn+8fzfvH0Cd/aujvg\nqq2tsnMOEQAMlKO9JXHqUVVHe2tmBLt4tsfm9ycoSFK0qMTwdoD0lsqbJ0INn7722pKtOxtC\ncXtJ9diZp59DqgOAI6HKNq3ZLNXpNLYXvTTPOr3stf/0fd41dqoq24zvB0hrKQt2b/z+W//z\np0UR5YuvQHf94oen/+C+O350dqqGAIDBxub3aZWiuRlyRrFvzERnW1P+quXS/jfOkhCqv3pk\n05x5JncGpKHUBLv6F79z3R+fK595yY+/f9nR44dnSZGdm1Y9edfPn/7jFY4Ja34zb2hKRgGA\nwcYWDGiVsuq2+MZOMrIZ/bQeP8c/coLns3XO9paYNzdQMypQXWt2U0BaktbXNx35Z7l1Ws0i\n6ZxlH/zJLX/x8lVVgv973PhXlYWrVt925EMAwCA04q+/kaKRhKXmE07rOOp4g/sBYHGpOe7k\n5ZZgzSXf7pnqhBCSnHXpFSPDLQlWTgAADkcsy6NVCldwxhuA3lIT7LJlOdzc5wpnIcJNYWHT\n/KoEAOhfuLI6cUGSQuWscgHQW2qC3WXDc3c+/T/rOw56XxDt+uTWx7fm1FyVkiEAYBByNO1N\nXFBVe0e7sb0ASAOp2Txx/v0/+cvc/3fJ8bO//PWLjxo3wiWCuzatevahf+4IOm687+KUDAEA\ng5CzrVmr5N35efukY41sBoD1pSbY5dR+44XH7T+58ddP/PmWJ/77MK92xk2/vueikXkpGQIA\nBiFJ0TjFTghbR6eRnRhDUuKcXQcciZSdY1c287KHl1y6b8vaLTsaIsJVOmz0uFGVqXnRCwCD\nlWKT5ZiSsBQpLjW4Gf3IsWje6hV5n66xBXyq0+UfMbp55ilxT47ZfQHpJ5U3TwghlY2cWjYy\npZ8SAAYx1WYXsVjCUqgiQzZPyJHI0H/cY/ftn4CUwmHvxnWezRvqL/52pIC7YoHkDDzYzZt1\nuGs7Xln+wYBHAYDBTI5GtUrZu7Z25B1jZDM6KV7y0oFUd4AUi1c8948dV1xnSktA+hp4sKsc\nOiyFfQAA+pKUuFbJ0aixYTbdeD9bn/C5vatTjkSUTLkSFzDGwIPdA48/ncI+AACJSEIk3j8h\nxxOvvUs7kqr5PySrfpt/xFgjmwHSHdsbAMDCtL9IR/IKDezDHDZ/0OwWgDRDsAMA61JcLq1S\nYNR4IzsxRbi8zOwWgDRDsAMA61IkzUPdpHCGzGapsuaioFgWJ54AySHYAYB12WKau2Kz9u4y\nshP9+GtqEz6Puz1xj9fgZoB0R7ADAOtStGez4tkZEno6jj1BlWUhpF7PW2fMFlLvhwD6l5oD\nioOBQMLnNofT6UjtGcgAMIgoLpctlPgLbMZsFw2VDtl31oKSt1+0+X3dTxS7ve24kzonZcIp\nfYDBUpO6jhldrVWS7VmlQ2smHz93wbevn8G9sUCmc+3bU7z0FWd7myrL0aLifafOj3n5hz9w\nsvarWPfeXYFhI4xsRj/+4aODl30/q367o7015s0NVg7LmPlIwGC2797wP0f+WUpKCps+WNYc\ns42becqck+dOO2pKaa6o37Uvd+K5F8ybnuMIr3n1uScfeaj0vK+Pz9fc4QUg3RW/83rpW8/b\nfV1SLCpHI/bO9vyPP4h58yKl5Wa3lq4KVy7VOqM4UlweqqgyuB/9qDZbtKAoVFEVKSpRHRxK\nDAxQambsJrYtujVS9rtX35w3/otzlTo2vbDgnO9m/3TlH2ZXRLu2/GTOKXd95+kLX/1GSkYE\nYDXOfXvzPn6/91NVLV38on/UeO4PGBjF4bRFIwlLsbx8g5sBIISwhwLZdVtsHe3BoTWhIZa7\nhSs1myd+89c1w778156pTgiRN/ac278y9NEf/FwI4cgZ+cNfH9255f6UDAfAgoo+WJq4oCh5\nH71nbC+ZI1xWmfC5KiT/8FEGNwOg9NVnqu+/o+T15wpXLql8+uHhf7vDvcda+9NTE+y2BGPu\niuy+z7MrsyMdS7p/7K7IVqINKRkOgAXZO9q1Sq7mfUZ2kkliHk/C55JQZY2ZPAA6GfLcP3M+\nX9/zlj856K985mG7r8PErnpJTbC7oMKz/ZHfNUQOWgiiRBvueeDz7LKF3R8uu2uDM/+UlAwH\nwIJUu/bBHA4W1w6Qu2G3VsnR3GRkJ8AgJ4dCWTu3JiioavnLTxvejqbUrLH75gM//veZvzxn\n1jkLLz1/wsgqp4js2frJq//4+9o2249fuiHStfzay657Z9Wuk37zREqGA2BB/trRrsY9CUu+\n8VMMbiZj2AM+rZItmPgYFAB6yF23SqvkatxrZCf9S02wy59w9UtPFvzsplsfvP3GAw9zhh//\niyf+duGEwmDjZ6vrnBfd+PD/fo0VIUDGaps2K/+jlXKo9z1XkeKyYFWNGR1lAlXSfK+i2jhh\nHjBOP9PnQlEMbOQQUnZ6cOlxC//2xsKm7es2bdkVituLh42ePK7GJgkhRFbpNz746JupGgiA\nRcnyrkuvLl/0eM9vXgM1I/educDEptJdNK/A5u9KWFK4bgswUDSvQLNmpStSUnktRMfeHT4l\nq2rEaCGEELGd27Z0Px9eOzKFowCwrFiWt37ht+x+X1bdFuGw+2tGc8rJEYoUlbr37ExQkOVw\ncZnh7QCDV9eEafkfr0xYUm0Og5vpR2qCXbh16XXnf+udrW0Jq+vrWeELDCIxj7drwlSzu8gQ\ncjScuKCocjAQ9+QY2w4weLn3btcqSXHNG2KMl5pg99Q3rlm23Tf7smtPGDfUZqH5SABIb86W\nRo2K6mxrCRLsAKPkrvtIs6aqmiXDpSbY3fdxS9W5D9/zf2ek5LMBALrZOzXPx5JUC63XBjKe\nvctCh9X1IwWbqtS4rzUWH3LOhCP/VACAnuSo5iseZ3urkZ0Ag5yaJm8kUxDsJJtneq6r/qmP\nj/xTAQAOov2Kx96ReFkzAD2Ei4aY3cJhScmrWOmOR/7fhRd958Y/+n941YVF2ancaQsgvRR8\nsDx/zQo5GhaqFM/KbjnxtK4xk8xuKo2psizFE79yDRcWG9wMMJhFyyvEzi1md3FoqQlh1932\nSlGZY9Hvv//8HdfllZS6Dp6ufHvV2pSMAsDihjz1UNbeA/dhq7agv/S1Z131O5pPPtvMttKZ\n4nTagrGEpUhhqcHNAIOZHOjnrhcLvaVNTbArKCwqKJw9hFV2wCDm3bypR6r7Qt6GNZ3TvxTJ\n1T7bE9oUl1vr6jA5ZqETFoCMp8raq9cslOtSFOz+9MAjKfk8ANJX3rrER3cKVeR+tLJ5Nrvm\nB8IW7H1FW4+azcBGgMEuXFqhVVIcFjqJnasGAaSGza/5nsKRJscEWJAcCWmVXPv2GNkJMMj5\nRo1XNabmAsNGGNxMPwY+Y3fB6XMk2fX0K692/7ifn/nMa4sHPAqAdBHLynZobNOM5XCO7kBp\n74p179gmph5nZC/AYKY6nF0Tjspdv6b3c5utea6FlhEPPNhlezyS5Or+cU5uXor6AZCuuiYd\nnbVnR8JS2+TjDW5mMLDSqh5gUGg6+ey4x1vw4XKh7N+rHiksaTh7YdydZW5jPUlc5AogVaoe\nv9/V1NDrYdfYSY2nnW9KPxmg9s+3aE3atR53UttxJxrcDwBJibua9sm+znBFVTzba3Y7vaVm\njd1Xz5330F5/3+fNH/6/Sxdck5IhAFhf/cVXdRw9Q7XvfxWgOJ1Ns+eR6o6IpDkxF8/ONrIR\nAN1U2RYqGxKoHWvBVCeOcFesb+f2pmhcCLF2zYdVmz/fHui1jEbd8tZ7H3+Q4PgDAJmqedap\nzbNOlWMRRcjCznHlR0rVfuWqyg5DWwGQDo7oy+4bXzv9pm37F0u/9NXTXkr0c7xDv3kkQwBI\nR4rdQpv/05qkvXnC0dFiZCcA0sIRBbupP/rVLzrDQoibf/qj6T++9cwid6+fINu9U84650iG\nAAAkJCmJrxoDMJgdUbAbfu7C4UIIIV5e9OzJC7+2oMzT6yeoStAfiB/JEAAwmMWdbls48RnF\nwcphBjcDwPpSs3ni4aeeu7RPqhNC7Ft2+czJM1MyBAAMQv7R4xM+V2U5UDPK4GYAWF9qljar\ncf+/fnn9ouUft4cOuqy6eXe95B6TkiEAYBBqnn2GZ+tntoCv9/M58/rZMAtg0ErNjN3GP87/\nv4ee9eVWV5fGd+/aNXzcpDHjRtna9kn5s37+4BMpGQIABiFVtu244lrf2MmqzSaEUIUUy83f\nc8HXOydMM7s1AFaUmgOKr5pQtb78hyveul6N+08fPfKCZZu/PcQban53/oyFl7z8yWWj8o98\nCAAY5ORISLE7hcwd3wA0peYLxGpftHL+aUIIyeY5pzhr5bo2IYS7eOZvFgy779uPpWQIABi8\nVNXduMez9bPsnVttgQSnwQNAt9SsscuzSVFftPvHkyuyX3t9rzh9qBBiyLwhXf+6V4jvp2QU\nABiEXM37Sl571tXSuP9jWW49dnbb9FmssQPQV2pm7C4o9+588q6GSFwIUXFaRcPbj3Y/b17e\n2O+vAwD0xxbwVT714BepTgihKIXvLy56923zmgJgXakJdgv+cGm45aXTJ02tD8eHXvi1UPOT\nX73h5gfvvOnq+zbljflBSoYAgEGo6N23pGi07/O8j96VYwmeAxjkUvMqtuT4Xzzzt7J7HntN\nlkRW6eW/u/KFnzxw91pV9VbPufMfl6dkCAAYhLJ3bEv4XFJU167tweGjDe4HgMWlZldsX749\nW3cHXLW1VXYWgQDAQNX+5VahcXVY84mndkydYXA/ACwuNTN23bYvf+7lpav2Nrcfc+Pv52XX\nd3ZNINUBwBFRNStyOGJgHwDSQ6qCnfr4DWfd+uSq7g/c1/3fif6/XXH668dcfNvfb/+mjXgH\nAAOiSpKkle1sNkNbAZAOUrN5YtezX7/1yVXHf/3Xzy5f1/0kb/gvrrvkmFX/+ul3H9uckiEA\nYBCKu91apUhRmZGdAEgLqQl29/5qSd6oa/9+61Wja8q7n9iyRl35m5e/N7Zw1R/uSMkQADAI\nxXM1b+4JDBtuZCcA0kJqgt3rraGhX7mg7/OTL6yOtL2WkiEAYBCKO1xapYMOtwMAIUSqgl2F\n0+bf3tX3eefnnbKzPCVDAMAgZItFtJbYSZGwoa0ASAepCXZXHVW88z/XrG096KtMaN+ynz2/\no2AiBxQDwABFcwu1rg6L5hUa3AwA60tNsDvlr3+okHZfPuOkX97yeyHElkX/uvfW758za8Fe\npexn981PyRAAMAh1TpgiqaoQvbKdFKyqieXkmdMTAAtL2QHFvu1v3fyT/331vc2KqgohJMk2\ncub862/97exRfOkBgIErWLmk8INl3S9kJUkSihLNK9zz5UsJdgD6SvHNE6GWnVt3NMRs7vLh\nY8tynSn8zAAwaLka9+at+9DR2hTP8gSrajonHaNyiB2ARFIZ7HxN9W2BWN/nQ6trUjUEAAAA\ntKTm5olQy9IbLrxq6ebWhFWdrqMFAABAT6kJdk9dcc07WzroJk7bAAAgAElEQVROvPT7M0dX\ncj8sAACAKVLzKvaEmvLsMx567d55R/6pAAAAMDCpOe7ELovK8yem5FMBAABgYFJ0QPH4wt3P\nfJKSTwUAAICBSU2w+/Jj9xW9/71f3Pt8azDBrlgAAAAYYOBr7E6bcXTPD2P+xn2tYUmy5ZVW\neJwHbaB4/b01A28QAAAAh2fgu2LHTpjU6wmL7AAAAEyU4psnAAAAYJbUnGMHAAD6Z/d1Zu/Y\nYu/qiObkB6pHxr05ZneEDESwAwBAd/lr3it8b7EU37/FULHbW2ee3DH1OHO7QuZJza5YAACg\nJeezdUXL35CULw6OkGPx4nde827eYGJXyEgEOwAA9JX34btCkoTa85kqJCl/9QqzWkKmItgB\nAKAjSVFcrY1CVXsXVNXZ1JDgOXAECHYAAOiov+AmSf0UgQEg2AEAoCdZDheXJchwkhwuKSfb\nIbUIdgAA6Kv9mFm9X7lKklCV9mNmmdQRMhbBDgAAfflGjW8+aZ7icBx4otidTXPO9NeONbEr\nZCRungAAwAi2gC9r1zZne3s0vyAwdEQ822N2R8hABDsAAIAMwc0TAAAYwdnS6Nn2uaOzNZpb\n6K8dHSksNbsjZCBm7AAA0JmqFq14M/+j94WqCiEJoaqS1H70l1pnzmFXLFKLzRMAAOgr99PV\n+Wve++/GWFUIIalqwerlORs+NrcxZB6CHQAA+sr/eKUQfWfmpPyPVprQDTIawQ4AAB1JStzR\n3proBgrV2dooFMWEnpC5CHYAAOhIlWTtC2El1tghtQh2AADojPQGoxDsAADQkaT287JVlTQn\n84CBINgBAKAjVbZFc/LVvpsnJBHNL1Jl/kOMVOLvEwAA+uqcNE3qu3lCFR2TjzGjHWQygh0A\nAPpqP+r4rnFThRBCkoQsCUkSktQ54eiOKcea3RoyDTdPAABgBPfunZ5tmxwdbdG8An/tuNCQ\noWZ3hAxEsAMAAMgQJryK9e9855ZrvjJ36qgpNVWzvzTn1/e+EFS+WHkQD26772ffuWjO1KNG\njzz/K1e8uLrR+A4BAADSkdEzdqHGV8+ZcUVDPOfkhV8dVyqvX/L0W2v2lsy4fvFTN0pCqPHO\n60+Y+tbu2NyFV4wpjC95/JGN7a6b3l590Yg8I5sEAABIR0YHu6fPnfDLj1r/54VPL5taJIQQ\nauzf3zr2lld3Xfr6Zz8dX7j9Hxec/dN35v35vd+fP1IIEelcdeZR5/qGfPv9Zb80skkAAIB0\nZPSr2Ec3tmWXf2t/qhNCSPbzbr9JCLHi0a1CiCfuWmNzlt98bm130Zk7/ZbTq3x196zqihjc\nJwDAMJKi5H28surx+4f/9bZhj95dtOx1WzhodlNAWrIbOZiqhETV8LHj5/V8KNvzhRBxf1xV\ngk83BrzDb/bYvjjFcdSVE9Tn657c5Zs+vjCpsXKynHZOfQQAy5Ni0ZzHH7HX7xCSEKqQ21vy\nP27N+/zTjsuvUfLyze4OMFMgHA3H4kn9EkODnSS7n1+8otfDrU/8QQgx7qLqqG9lMK4U1NT0\nrGZVTBPipT2rm0WSwa7Ym53lNPR/HQBgAOJL3ozV7xBCfHGCr6pKAX/hklccl3/LvL4A8+1t\n9yUb7Eye01r/3O2X/XqVp2r+rTPLlXCDECJ7mKfnT7A5KoQQ4cawOf0BAHQWX7tGSH2u21JV\nZdOnIsI6HCA5pgW7UMOHv/nmSQu+93vb0Ln3v3J3lrz/X7UkH/TPW1WDQggl2s8NygCAdNbR\nLtQ+120JIRRV7eo0vBudBQLq7l0iEDC7D2QsU15WqsseuPHGXz/Uruace+2dP73+q3l2WQgh\nu8qFEIGd/p4/NRbaIYRwl7mTHSMYjSkJv1IAAKzE5vFKfl+CgiQF7U41HDW8I11IDXvll/8j\n1W3r/lAdXquc+WW1rNzcrmBx0XjSE1uGBzs19sgPTv7tsxuGz73yL7f/fEpF9oGKw3u82yYF\n6nb3/OnRtq1CiLJjinp/nkNpaE/0ZQIAYDGF1SMLGht6PVQlKVw5bLcvInyZ8DbW2dJY+cTf\nRTz2xaO6bdL9f9yz4MpIUYl5fSEDGf0q9rN7F/722Q0zvvfQC4/e1jPVCSEk2b2g1NO5845o\nj4m2usc+E0JcXJNrcJ8WJAeD2XVbcjasdTXsTvzaAgDSUPu0mdGCIiGE6LESR3U4mmbP0/ol\naafw3beleEzq8aVbUlUpFit8f7GJXSEjGTtjp4R+9Id3PUOuvP+nZ/dZKCuEEAuuO/rRn7zz\nqxfqbjm3RggRD2+/ZVFdTs3Vx+Y4De3TalS1YPWKgpVLpfj+rTGRwpLG084Ll1aY2xcAHDnF\n6d5zwdfLXnzCvW+3EKqQRCwnf98ZX44UlZrdWoqoavbObVKfb8glVc3asdWUjpDBDA12odZF\n24LRnMr6m398fa9S+dwbrp43tPqiB864e9qia+fJn1w1pdr95oN3bIm4f/HQD41s0oKKPlia\nv/Kdnk+crU2VTz+847Lvxb05ZnUFACkhRyIV/3nM2frfm8FVYe/qqHjun7u/8o3MeE0pqYrU\n8yVsD3I8JimKyqmrSB1Dg124bZkQomvLq09v6V0aU/j1q+cNle0Ft7/xetXPbnr+ibueC9qq\nJ8+69fe/mz9qUF8UK8XjeauWJ3geixYtf6PxjC8b3xIApFDeR+9+keq6qaoUjRS/89qe879m\nUlOppMq2uCfH5u/qW4p5c0h1SC1Dg13eqL+sr/9L/z/H7hl5/R//3XtCbxBz790pKYk3xXh3\nbmlMWACA9OHdslE9aH2dEN2vKeu3y+Gw4nKZ01ZKdY6fUpDoW/TO8UcZ3wwyG98oWJ2zpUmr\nJHF0J4D0Z/P7E666FqpqC2XIeW/t008IVtUIIfYfxSxJQojgsNr2Y75kZlvIRFy6ZXWS9v5X\nVWFvLICMpQoRz/Yc+uelA8Xu2HP+pd7P13m2fOboaI3mFwZqx3WNnpDgyg3gyBDsrE5xau4I\nlliZASATJP4eVRJCxOLCYWwv+pEk35jJvjGTze4DGY5kYHWRgmKtkuLImC94AAYx7VkrW5SL\nwoHkEOysLqZ9oIliJ9gBSHvR/KKE2U612WMer/H9AGmNYGd1zjbNzRO2YNDITgBAD53jpya8\nTcc3dqJqY70QkByCndW5+1yheICkxo3sBAD00DV+ate4yUIIVZKFtP/NbKi0omXWqWa3BqQf\nvhmyOjWW+LxyIbQWHANAWpGkxlPP842Z5N34iaO9JebNC9bUdo6bKtgfBiSPYGd1SlaWZo1t\n8gAyRWBYbWBYrdldAGmP74esLurN1SoxYQcAAHoi2FmdI+jXrCVabgwAAAYtgp3V2bsS3Bvd\nTeLIcgAA0APBzurChaVaJZVFdgAAoAeCndXF8vO1Sio3TwAAgB4IdpanaC6ky5jrsQEAQEoQ\n7KwulqO5K7afa2QBAMAgRLCzuli2V+vAOmdHm8HNAICubAG/UBSzuwDSGAcUW5136yatE+vs\nBDsAGcEWChasXJqzYa0cDauyPVBd23LCKdH8IrP7AtIPwc7qnA27NWtx7ooFkPZs4WDlvx9w\ndLV3n80pKbHs7Z9n7dq65yvfCJeUm90dkGZ4FWt10WLN404kLlIEkP7yPnz3QKrrJglViseL\nl75iYldAmiIZWJ1vzCShcRBxuEgz8wFAuvBs/7zvghNJVd17623hkCktAemLYGd1qiwrNlvC\nkr9mlMHNAEDK2YKBxAuJVVUOBY3uBkhzBDurc7Y1ybFYwlLuZ2sNbgYAUi6ak5vwvYQqy/Fs\nr/H9AGmNYGd17j31WiVb0G9kJwCgB//oiT0X2H3xfPhohft1gCQR7KxOcbs1S1LiV7QAkEY6\nphwbrKoRQuyft5OEECLmzW2ZfYaJXQFpiuNOrC5QNUJIiU+yixaXGd4OAKSYarPtOf/S3PUf\n5Wxc62xriebkBoaPap/2JcXhNLs1IP0Q7KxOcbmieYWO9ta+pY6pxxrfDwCkniR1Tjy6c+LR\nZvcBpD1exVqdHInYOzsTFCQpa+d2w9sBAADWRbCzOmd7s6Qk2hWrqs6mvYa3AwAArItgl8ak\nRPvIAADAoEWws7pIQfH+TWJ9caUYAADogWRgdfau9sR7YoVQtQIfAAAYlNgVa3VyOKJZimqW\nAGQYORhwtjUrbnc0v0iVOcMSQGIEO6uL5uRqleRw2MhOAJjC7ussWva6d/OG7g/j2d6WE0/t\nGj3J3K4AWBPBzuqciU6w6yaHQ0Z2AsB4cjhc+dRD9q6OL54E/aWvPitFo50TOPUNQG8EuwFy\n796ZvWOzo6sjXFzmGz0xlpOn00AJjybuJilxnQYFYBF561b1THVCCElVVUkqXP5m17gpvJMF\n0AvBLmlSPFb+4pPZO7Z0f+j97NPCdxe3fmlu+9Ez9Rgu7snRrHHcCZDpsup3CEnq9Y9dUlVb\nOORq3hcqHWJWYwCsiV2xSSt9/bkDqa6bpCpFK97Mrtusx3BypJ+FdAQ7IMPJ0bCq8S2c1N8X\nBwCDFMEuOVI85tmyIUFBFcXLXtdpRM2ajT8+IMNF84skKdHBRpIUzS8yvB0AVkcySI6rcY+k\nMU3Wz2K4IxGoqtEqxd0ePUYEYB0d46cKtc+ZlZIUGDYi5tXcMg9g0CLYJcfZ0qxZ02fFm5KV\nrVmys0QSyHChIcPCxeW9ll2oQnQcNcOkjgBYGsEuOY7ONoNHzK7frlWy+7uM7ASA8bxbN7ma\nG3o/VUXhijfNaAeA1RHskhM1/N2HzaeZ3uRo1MhOABjP+9m6vg8lobqaGnRa/gEgrRHskuMb\nN1mzJuvzm8nOV2AQczXu1SrZO9uN7ARAWiDYJSmqeSawqs+KNzkU1Kxxjh2Q6frZF2/n7hkA\nfRDskuNu6rPY5YCY9rkkR4CFdMBgptodWqWYK8vITgCkBYJdchSH5rSc1jEoR8jRxdsWYPAK\nlWneLRHNKzCyEwBpgWCXHNXp6qeox4iK9vfrADJe17gpfR+qQgpXDI3l5RvfDwCLI9glx713\nl2ZNnxVvsdw8PT4tgLQQqBnVMeVYIYQqSQf+v+Lx7Dv1XJM7A2BJnHCbnLhb87jg3kfDp2xI\nXZbuAUgXzbPP8NeOzf1klbO1ScnyBKpqOo6eoTicZvcFwIoIdsmJFmhfzqjTFlUbf0bAYBes\nqglq3y4IAAfwKjY5ctCnWdNnxi6W5dUqqTrNEQIAgPREsEuOs6NDs6bPjF24uFSzxr4KAADQ\nA8EuOXbD74oNl1ZqTQYGyocZ3AwAALAygl1y4k63wSMqWVn+EaMSltqPnWVwMwAAwMoIdsmJ\nlFVq1nRb8dZ48vxwWaXoPumg+8gDWW6ZdWqoslqvIQEAQBpix2Vyotqnyil2vU4fULKy6hd8\nI+fzT7Pq62x+X6SotHP81P725wIAgEGJYJecaG5+3OW2Jbh7W/KPHq/jwJLUNWZS15hJOg4B\nwNpsAb/idquyzexGAFgXwS5JktR2/EnFS1896KEsVMnWfvRMk3oCkMnkWDTvwxX5n3wgh0Kq\nLIfLK1tOPD1UqnmHLIDBTFpf32R2D+kn/6P3C95fIkcj3R9G84saTzknNIQ9qgBSTFLilU89\n7Nq3Wwip+1AlVZIkIfaec3GgZqTZ3QGwHILdAMnBYFbDLpvfFykoCldU8XIEgB5y131Ysvjl\n3k8lKebN2fH1a7t3UwHAAbyKHSAlK8s/fLTZXQDIcJ7tm4UkCfXgA9BV1d7V6Wpp6u8AcwCD\nEsedAIB12UIBrVtt5KDf2F4ApAGCHQBYV9Sbq3UrdCxH8/QlAIMWwQ4ArMs/eqKk9p6yUyUp\nXFIezS80pSUAVsYaOwCwLl/tWM/Yyd5NnwhJFqrS/VBxuppOnW9uY8CgVbrk5ewtG0U8puTk\nNp6xIFRorfsC2BULAFbn3bIxd90qZ3NTPMsTHFrdeuxsJSvb7KaAQcfe3l792F8OfIvVLTC0\ndu/5l5jVUl8Eu/ShKI62Jldra2BoteLmazoAAIYacfetUlzp+7x59ryOKdON7ychXsWmh+Il\nr+WtW3lgc5zidO3+yhWRIk46AADACO76bQlTnRCiaMWbBDskofz5xz11m3s+kSPhof+8b+c3\nro16c3Ua1N7VWfras67mfVI0Esv2th93YufEo3UaCwAAi8v/ZJVWSYrFjOykf+yKtTxF6ZXq\n/kuteuJ+ncb0bN9U/dAfs/bskCMhSVUcgc6St1+s+vffdBoOAACLU1XtyCRpnDZpBoKd1RWu\nWaFVkv0BnQYtf/Gpgz5WhRDC1bi3YPW7Oo0IAICVdR2l+bJVsTmN7KR/vIodoOy6Ldk7t9oC\nvkh+kW/spGi+XrudvRs+1ukza8nZ9Gnv+4v+q2Dl4rZpMw3uBwAA0wWG1Kh2mxSL9y01zz7N\n+H60EOySJkejZS8+kb1r24EnBauWtc2Y03bMLD2GM356N+8jzWm5hH+hAQAYDHZ+44Zhf79T\nih+0oq5r9KSuCRZag06wS1rJG4t6pjohhKSqhe++HSkq9Q8fnfLhgkNHONtXp/zT9sPR1W7k\ncAAApIWYO2vbd28sXLXUs36dPRKKFBXvO+uimDvL7L4OQrBLjhSLebdsSFgqXvyif/gNKR/R\n1dmR8s95CIrGzZQAAAx6rdNnt06fbXYXmtg8kRznvj1aJbvPp8eItuZGPT5tPxSHhRaBAgCA\nw0ewS4438ckjOlI8OQaPGMvTHpG5PAAALIxgl5y44a/S26f3sydDl5wVLhumPSDJDgAA6yLY\nJcc3drJWSZV0+c301Y7RCnCBqmo9RoxnaYZXjVNQzOdsbcxZ/1He2lVZu+us2yUAADpj80Ry\nYh6v4nLL4VDfkm/MRJ0GbZp9RsnSV3o9VO32fecu1GM41956rZJkwukrhyBHI2VvPZ/9+cYD\nJ8NE84sazr4oUlis46ChYMXLTzmaGyRVRPPy9535lWhugX7DAQBwmJixS1r9JVcLm63Xw3BR\nSeNp5+k0YueU6XvnXxJ3Z++fuZOk4LDauit/pNj12eXQ3+tWy72KHfLMw9mfb+h53p+jvaXy\n8fvlSESnEXPWfzz8b79z19fZQiE5HHI1Ngx7+M/F77ym03AAABw+ZuySJkXCap+1ZpKiCkUR\nsl5BOVBdW3fVj4Si2COhmDtbp1G6dY2Z5Nn2WcKSYrPWXxhH6z5XY0Pf53I8VrT8taa556R8\nRCkaLX3r+b7P8z5e2TXuqHBJacpHPEJZu7YXrlzqbG4QqhQurWg9/qRQpfYaSgBAmmPGLmmV\nTz3U69RpIYSzrblk8cu6jy3Leqc6IUQsv1CzVFii9+hJKXp3iVbJ+9l6PUYsWfKSVqns1ae0\nSmYpWL18yLOPuffskiMRORrO2l1X+Z9H8tZ+YHZfAAC9EOyS4/B3yeFgwlLuho8MbkYnNn9X\n4oIkFIfD2F4Owa59yJ8Ui+oxomf7Fq2So6NNjxEHzNHRVrBisRDioHvpVLXondfsvk6TmgIA\n6ItglxzvhnWatUzZjKlkJZ4UVIUUy/YY3Ez/7NrpTad9HlIkwb6Z/RRFjxEHLO+TDxP+Jkiq\nmrPhY+P7AQAYgGCXHGdbk9kt6C5cUhHP9vbdJyGpqh6X4R4JRdbezKHqs88jfU7yy9mkmd5y\nP11jZCcAAMMQ7JLjGz7S7BZ0p8py05wzhSTUg0NMsLLGN1qvI10GRlI0p+VUfWbsFLn3hugv\nRrRY5pNDmpOL9oAu198BAExHsEuOf9QErZLqsNaO0SPhrx27e8E3whVVqiwLIeJZntYvzd17\n3iX6bfsdGEm7H71SVj+rDC0W7PpbG2Cxt8YAgFTJnCxiHEkknAxS7G7DW9FRqKxy94VXSEpc\nioQV/bfiDkzc4dKcQNPnyD3FlW0L+BOWVHsa/WuyWAYFAKSItSZgrC9rx2atV3xyKPF/79Oa\nKtssm+qEELZQ4h3KQui1lyVYOVSrFM3TPCbGFP28Glb7WZsIAEhnBLvkONtbtUoWvG4r40mi\nn1eKumQXf+1YrZJ+d8oNjOp0aZUUl+Z1wACAtEawS05w6AjtIrMgRou5tV9/6/OnERw6PObJ\n6ftccdi7xk7RZciB6nfGTvsNNgAgnRHskhN3a051KA59bm6FtnDJEK2S0uc+35RQJVl1JvqD\nlu2K9gyZKeRY7/tRvihFw0Z2AgAwDMEuObZgQKukWuxWhsGgn32oOm1lcO/e4Whr6ftcDody\n1n2ox4gD1u/KAJYNAEBmItglJ57oNVw3ORIxshMIIVRZM731UzoSOZs1r6DN2bpRjxEHTNGe\nXY57vEZ2AgAwDMEuOTZfh2YtqsvlpOhHNF9zI6qiHcGPhL1T8y+AzWetU3/DJeWapVLNV9gA\ngLRGsEtOVv0OrRK7Yo3Xpb0RtXPMJH3G1P5TVq116m/CTR7d4tnM2AFAZiLYJUeS2E5oIbHc\n/K6xkxM8z8nrnDJdjxGVhDsnutmttchS8WoGu34yHwAgraXRWfmWEMnN1axx2okZmk45J+bN\nKVjz3oFrsvw1o5tOPkvVaVesQ3Pra9xiu2Lj2kEz7sqoW1IAAAcQ7JITKSrVKik2a03YDBKq\nbGudeXLH1ONdTQ1yNBIuKdP1BohISZlWKZpfpN+4AyBHNXfz2EOam7sBAGmNYJecfrYTxrM8\nRnaCnuLZnkB1rQED9RPfVYe1/jVJ8fgASgCAtMYau+Q4Otu1Sv1eb4UMoT0NJlntZXy0uESr\nFNaeeAYApDWCXXL6uYtJtdjaeehBeyGdqlhs4Zp/xNi4J6fXIc6qJMVy8wM1o8zqCgCgK4Jd\ncqK5+fEsT8JbOENDhhnfDwwWrBqudd9FYOhwg5vpn2J37D1nYSwnb//HkiSEiOUV7j13oU47\nSwAAprPWqqA0IEmtx88uWfxyr4eKzdY2baZJPcE4sbz89qnH5X/0vpAOOtLOP3x0cNgI8/pK\nLFxasfPS73o3rXM37VUlKVRa4R8zsZ9ZZwBAupPW1zeZ3UP6yVv7QeF7i+XI/pvUI4UlTSef\nE6qoMrcrGERV89Z9WPDe27ZwWAih2uxtx8xsnzZLp9tpAQA4fAS7AbKFg659e2y+rkhBUaSs\nUpUz7aW2vauz8ukH7f4uoaqqzd529My2408yuykrURRHZ5sUj0cLipgDAwBYBMEOCeR+8mHJ\nkpd7PYx5vDu+eYMp/QAAgMORafNMhrF3deavea948Yu5mz4RsZjZ7aRY8ZJX+j60+30lbz1v\nfDMAAOAwMWM3EOUvP5m9ZdOBvZGqJDWddHbXpKPM7Cl18te8X7T89cQ1m23rd39mbDsAAOBw\nsdw7aZXPPereWdfziaSqpYtfiOd4M+N4sOy6LZq1uBUPYbZ3dZa/+pSjpUmKx2Oe3KY5ZwWr\nLbdBFQAAA/AqNkmK0ivVHVD+4lPGtqIXxdHPVgBVu2SO3A0fVz90l2vvbjkSkeJxR2fbkEX/\nKH/x32b3BQCACQh2ycnZuE6rJCkZstJOSp+/FXIsVvLmC33jpmfb556tn5vSEgAAJkqb/4Rb\nRM7nmsEuY7ia9pjdwuEq+GCp1iRi8ZIXdR3a2dKYs/7j3HUfuhrqdR0IAIDDxxq7JFnrnndd\nSNGo2S0cLs/nG7RKdr9Pp0Ft4VDx2y95t2wQ6v5MGaysaTx1fiw3r/9fCACA3pixS06wPPOv\nl1Ac1rrMvh/2oN/4QUtfeaZnqhNCuHfvGLLoH5ISN74ZAAB6ItglJ5aTb3YLulNcaRPsYnbt\nfR6SLpOr7sY92Tu39kx1QghJqI62Fu8WzelDAACMQbBLjqRPXLAUVU6b/42Szei7vJwNu7VK\nrr2aJQAAjMEau+Q4OtvNbkF3kaJiV9Nes7s4LKr2mkdVn4NZsnbv0ipl79iqy5BHxtnWXPDh\nCue+vUIS4bIhbdNnRfMKzW4KAKAXgl1yVEue0JtavvFH5WxKvPk3nu0xuJn+Ke4s4etKXNNn\n3tHZqDktZ/N16DHikfBuXFv65guSuv8vrbOl0btxbeMZF/hGjTe3MQCATngVmxzF7TK7Bd0F\nKqsVhyNhqWXWKQY30z/fuMlapZhXlz2qtmBQqyRbLPTbAr6yN54/kOq6Sapa+tozcihgVlcA\nAF0R7JITLinTrKXNyrRDkaQ98y8Vcu+/G/7ho7vGTjGlIy0xb4FWSXEmzqZHSJL6ecVrrWs5\nCt9PfMifpKj5H75vfD8AAAMQ7JITqqrRKsU9OQY2oq/wkKq6b1zXNXZy3O0RdkektLzh7Isa\nzllodl+95W78WKvk6NLpxWja5PeczzQP085dv9rITgAAhmGNXXJU2eYbNcG7eX3f0r5T5hvf\nj37i2d7G084zu4tDiYS1KlJMn1PlVGu9b+1PTPOgaVtU8/cNAJDWCHZJazz9PElSe955oMpy\n80lnBoeNMLGrwcn4406Eoh3sdNqIO2D9vTS2WKsAgBQh2CVNlW0NZ1zomrYva+dWR1dHuLjU\nVztOyco2u6/BKOLJ0TpMWXHo8ndbstgOif5IklaAU/ssoAQAZAaC3QCFS8r620gBQ6hO7Usy\nbPoEu/R5FavabFJMo1u7LjtLAACm4xt3pDG1n62v/bwzPZIR02fzhLBrRlvFRrADgMxEsEMa\nczY1apWkuC6bJ1SNE/66x9RjxAFTtecsVePXJgIADEGwQxpT+ztVTpeY1c+hNjqdnDdgUjSm\nWYprlgAAaY1ghzQWHDZcqxTNz9djxI5Jx2g2U12rx4gDpsppc5YyACBVCHZIY10Tpwkp8d/h\ntukn6jGiv3aMkBLPBfaT+UzRz0I6VXv5HQAgrfH1HYlJsVjFosdc+/bJSizuzm6cc1agdozZ\nTfWm2J2Nc+aVvP2ydPAUlL92rL92rB4jxnLz24+emb96Ra/nvtqxwSrN6UNTKLkFwt+VsBTJ\nLza4GQCAMQh2SCB719aK5/55ICzZAr6Kl54Il5TXX3yVqX0l0DVxWrByeNkbzzpbmoSqKJ6c\nlpmn+kbpkuq6tcycG80rKHrvbTkYEEIoDkf7MSe0H2GU1S8AAB9CSURBVD1DvxEHJjC02rV3\nZ8JSiMO0ASBDEeyQQPlz/+q7CsvV1FDwwbK2Y08wo6P+xAoKdy/4pnHjSVLnxKM7Jxxl7+yQ\n1Hg0t0BY8rzffnZISFHN28YAAGnNiv9BgrlyNn4sadxYULB6mcHNHD4pHrOFggaOJ8Xy8qP5\nRdZMdUII9556rVLWvl1GdgIAMAwzdugtd+MnWqV+TtAwUdbOrSVvveTwdQhVVZyutuNO7Jhy\nHLdm2TvbNUttrUZ2AgAwzGD/jx/6kjVW3AshrHYGrxAif/XyIc/909HV3n0vqhwJFy17Y8jT\nD5vdlwX092fFcScAkJkIduhNcXu0i9YKBHIkVLTi7b7P3Q313k3rjO/HUmI5eVqlaF6hkZ0A\nAAxDsENvMU+2Zs1iE3b5a97XKhWuXGJgI1bUdswszdJ0y+2AAQCkBMEOvTk7NNdmWWzCTrj3\nJD7OQwhhC/iM7MSCAsNHh0sq+j4PDhkarKw2vh8AgAEIdujN5us0u4XD1d9l9hbLoKbYc+HX\nOyYfc+CqDFWS2486fu/5l5rbFQBAP+yKRR9K2mSiSFFZ9o6tCUuKw21wMxakOBzNJ53ZNmOu\no7lRSFKkuERx8tsCAJmMYIfeYrn5tiYDD4Q7ErGIVkWKh41sxMriLne8cpjZXQAAjMCrWPQW\nGFajVVIla+2eyNm8Qatki2pmPgAAMhXBDr2FqjQvEo17NU/QMIUcDGnW0uZ9MgAAKUOwQ2+R\ngiKtkn/EKCM7OSSJ+AYAQA+ssUsPciya99HKrPrttoA/UljcOWlasGq4TmPFcvMD1SOzd24V\nPW6MVYUkJNE5cZpOgw6MarmT9QAAMBPBLg3YO9orn3nY7usUkiRU1dHa7N28oWPKsc2zz9Bp\nxMZT51e8+LirYY8QontQ1W5vmnNmpKhUpxEHJlpS5mxq0CjqGPlcTftKX3/W0d4qCTXqyWme\ne1ZgWK1+wwEAcJik9fVNZveAQxjy7GPuXdv75pSGsy/yjxij16iq6t28IWv3DjkcjBSVdY6f\nEvfk6DXWQNlbW6v/8ZeEpa7RExrPuECPQQtXLy9YsbjXIr6u0ZMazzhfj+EAADh8zNhZnc3f\nlbWrLmEp55PVOgY7SfKNnuAbPUGvz58KscLCcGmFq3Fvr+eqzdZ02nl6jGgL+gsS3U6b8/m6\nrsnHBIcM1WNQAAAOE5snrM7Z3qq1w9PdtMfgZiyofsE3Oyce0/O9a6R0yI4rrlNl7UspjkDx\n0le1SqVvLNJjRAAADh8zdlZnC2reeSrF40Z2YlGy3DT3zJZZc51NjXIsGi4u1fWVcfa2zVol\ne0erfuMCAHA4CHZWF/Xka5UUp8vITqxMcbpDhlyuIGvfdWFlNl+XkKV4ttfsRgAA+iLYWV20\nqEhIiV/GxvIKDG8HaUVRSpa8lPvpx/v/AklS++TpLSeeLix2gwgAIFVYY2d1UiSqdQqvravD\n2F4g0isSVT/2l9xPP/ri2wJVzV/7wdB/3mtqUwAAHRHsrC571zatki3gN7ITCCHi7iztorUy\nn3fTOntHe9/nztam7DrNlYIAgLRGsLM6VdL8M7JWjhgcwuVVWqWoxd6Mly57RbO0+EUjOwEA\nGIZgZ3WhmhFapUh+oZGdQAgRqqzWKoXLKozs5JCkYEirZOvS3GoNAEhrBDuri7k9oYpEs0SS\naD3hVMPbGew6Jh8jEp+QJ7XOmGt0NwOnsWwTAJDmzAx2n/7pf+9+fmevh/Hgtvt+9p2L5kw9\navTI879yxYurG03pzVL2zv9auLis5xNVkltmnBIYqjmZB50odkfDmReq8sH/cCSp+YRTrfYq\nFgAwCJl2V6wS3XfOuKMcX3vxuV8efeChGu+8/oSpb+2OzV14xZjC+JLHH9nY7rrp7dUXjcgz\npUlL8Wzf7Nm60e7rDJVWdEw+Nu613M2tg4ct4C9a/oa7YbekxMPF5S2WTHW1f/mVUDRqkrT1\n+z83tBsAgCHMOMdOjdZvXPX4bdfUhaKjDq7UPX7FGzu75v35vd+fP1IIceXV88886tw7L7/z\nomW/NKFPi/EPH+UfPurQPw/6i2d7GvW5izaFornFjvbmhKVQ6RCDmwEAGMPoYBcPbpw5YY4v\nkvgurCfuWmNzlt98bm33h87c6becXvWtF+5Z1XXj9ByngW0CGUBrvk7I8ZiRfQAADGN0sJOd\nlbf99SEhRCy48frv3dazpCrBpxsD3uE3e2xfnOMx6soJ6vN1T+7yTR+f3A7QvGyXw8bWEAxe\n9lBAq+QI+Ipz+jmQDwBgCb5QNBRN7ltxo4OdZMude/o8IUSkq/cSsahvZTCuFNTU9HyYVTFN\niJf2rG4WSQa7Qk9WlpML0zB4he1OIRKfeCK7XKW5HoP7AQAkK674kg12FprTUsINQojsYQf9\n98bmqBBChBvD5vQEpC15eK1mqXaMkZ0AAAxjoWDXTZIPuk9BVYNCCCWquVoIQEL2U+dp3E4i\n2U45zehuAACGsNDLStlVLoQI7Dzo/tNYaIcQwl3mTvazBaMxReUUVgxi+UXyjBPl95b2eqyc\ndEogO1eEo6Y0BQA4fNF40hNbFgp2Du/xbpsUqNvd82G0basQouyYomQ/W0M7lyZh0Js+O2tI\nTfGSVxwdraqQo/mFzXPPCpVXiuYOszsDAOjCQsFOkt0LSj3/3HlHVF3o+O8bpLrHPhNCXFyT\na2ZnQNoKVlbvuuQ7ZncBADCItdbYLbju6Hio7lcv1HV/GA9vv2VRXU7N1cdyiB0AAMChWGjG\nTghRfdEDZ9w9bdG18+RPrppS7X7zwTu2RNy/eOiHZvcFAACQBqwV7GR7we1vvF71s5uef+Ku\n54K26smzbv397+aP4qJYAACAQ5PW1zeZ3QMAAABSwFpr7AAAADBgBDsAAIAMQbADAADIEAQ7\nAACADEGwAwAAyBAEOwAAgAxBsAMAAMgQBDsAAIAMQbADAADIEAQ7AACADEGwAwAAyBAEu4FS\nVUdHm3vPLjkYMLsVAAAAIYSwm91AWsresaV4ySuOjrbuD/3DR7eceHo0r8DcrgAAwCDHjF3S\nPFs3VTz/uKOz/YsndZsrn3zQFvCZ2BUAAADBLmlFy94QqhCq+sUjVbUF/fmr3zWvKQAAAIJd\nkuxdHY7ONiHUviXP1k3G9wMAAHAAwS45tnBQq2T3dRjZCQAAQC8Eu+TYOzXTm6QkmMYDAAAw\nDMEuOXZ2SAAAAKsi2CUnVFapVVJlfjMBAICZyCLJCReVagW4cHGFwc0AAAD0RLBLkiy3Hj8n\nUUFqOn2+0c0AAAD0wM0TSWs/5kvCZitc8ZakxLufxL25DWd8OVJQbG5jAABgkJPW1zeZ3UNa\nkoOBrL27bAFftKAoVDFUlW1mdwQAAAY7gh0AAECGYI0dAABAhiDYAQAAZAiCHQAAQIYg2AEA\nAGQIgh0AAECGINgBAABkCIIdAABAhiDYAQAAZAiCHQAAQIYg2AEAAGQIgh0AAECGsJvdAKxL\nUuKOthY5FIoUFSvubLPbAQAAh0CwQ2I5Gz4uWv6mLRQQQghJ6ho1seXEU+PZXrP7AgAAmngV\niwTyPl5Z+ubzcneqE0Koas7mTyuffliORU3tCwAA9Idgh97kWLRoxRtCCKnnU1V1tLfmfLrG\npKYAAMChEezQm7NxrxRXEpby1r5vcDMAAODwEezQW87n67VKjs4uIzsBAABJYfMEerN1dWrW\nVNXARpLgbGlyNeyWY5FwcVloyDAhSYf+NQAAZByCHXqLFBZ7tn+WsKTaLBeY5GikdPFLns8+\nPRA6IyVl+06/IFJYbG5jAAAYj1ex6K1j+iytUrh4iJGdHI7yF5/wbFrXcyrR2bSv8sm/y9GI\niV0BAGAKgh16iztdgcrqvs9VIRrOv8T4fvrhaGvK2rW973M5Ei74cIXx/QAAYC6CHRLYe8Hl\nXWOn9jzvJO7x1l9yTdzpMq+pBPLXfqBV4mQWAMAgxBo7JNZ42rmNp53rbNztbmr0j5oQdzrN\n7igB1+5dWiU5HDSyEwAArIBgh/5ESisjpZVmd6HNpv0XmI2xAIDBh1exSGP+2rFapZg3z8hO\nAACwAmbskMbapx5X+P7ihKfrtZxwqq5D53+4Iru+TlJiobKqtuNmK3b+KQEAzCetr28yuwdg\n4HLWf1T69ou9sl1g+Oi95yzUaURn096qJx+W4tEDT1RZ3jfvAn/tOJ1GBADgMBHskPacLY0l\nbz3vbmpU1Xjcm9cy82Tf6Al6DaYotffcJpR438qOK38Uy87Wa1wAAA4DwQ5IQv7KpUUrlyYs\nBStr9lxwmcH9AADQE5sngCTkfvaJVsnduMfITgAA6ItgByRBiiV4Cbufql0CAMAQbOUDkhAt\nKLL7OhOW4i4rLrCzhYIFK5e663cISQSHDm877kTF6Ta7KQCAXlhjByTB3tFS/cjdCUtNp57b\nOW6qwf30z7N5Q/lr/xGK8sUjSW44Z6G/ZqR5TQEAdMSrWCAJsbwi34gEpyJHCouslupsoWD5\nK88clOqEEKpS/sLjcjRiUlMAAH0R7IDk7Dt7QePcs1S7Q0hCCKHabG3HzNr1te+a3VdvJYtf\nESLB0c1CVYveecPwdgAARmCNHZC0ronTuiZOE0KIWExY9c4J985tWiVP3WdN4iwjmwEAGIMZ\nO+AIWDXVCSGkRKco7y/1s7cXAJDOCHZAZop7PFqlWG6ekZ0AAAxDsAMyU9uxJ2mVWo7XLAEA\n0hrBDshMXWMmxHLz+z6PFJUEho82vh8AgAEIdkCGkqT6i6/yjZrQ80nX2Mm7F3zTvJ4AAPri\ngGIgw9m7OlzN+1RJCpeUxz05ZrcDANCRdff0AUiJWE5eLIfdEgAwKPAqFgAAIEMQ7AAAADIE\nwQ4AACBDEOwAAAAyBMEOAAAgQxDsAAAAMgTBDgAAIEMQ7AAAADIEwQ4AACBDEOwAAAAyBMEO\nAAAgQxDsAAAAMgTBDgAAIEMQ7AAAADIEwQ4AACBDEOwAAAAyBMEOAAAgQxDsAAAAMgTBDr0p\nirLgzFMWnHnKssVvmd0LMsqyxW91/9VSFMXsXpBRbv/lTQvOPOXO2241uxFklFAw2P0l64N3\nl5vdSxLsZjcAK1r/yVohRHtbq9mNIKN0tLd1/9VSVdXsXpBRdtRtX//J2qHVNWY3goyiKEr3\nl6zOjnaze0kCM3YAAAAZgmAHAACQIQh2AAAAGYJgBwAAkCEIdgAAABkiY3fFLnr6iebGfWZ3\nkZYO7Fhc+ubrjQ17zW0GmWTjp+u6f/DQvX+RJMncZpBJdtVtF0Js27L57/f8yexekDmikUj3\nD9589eUd27eZ0sOsk04eM35CUr9EWl/fpFM35rrorNM+XfuR2V0AAAAM0M2//cOFX700qV+S\nsTN23/r+tW0tLWZ3AQAAMEDTjj0+2V+SsTN2AAAAgw2bJwAAADIEwQ4AACBDEOwAAAAyBMEO\nAAAgQxDsAAAAMgTBDgAAIEMQ7AAAADIEwQ4AACBDEOwAAAAyBMEOAAAgQxDsAAAAMgTBDgAA\nIEMQ7AAAADIEwQ4AACBDEOwAAAAyBMEOAAAgQxDsAAAAMgTBDgAAIEMQ7AAAADIEwQ6H8Omf\n/vfu53ea3QXSXjy47b6ffeeiOVOPGj3y/K9c8eLqRrM7QkbhKxVSy7/znVuu+crcqaOm1FTN\n/tKcX9/7QlBRzW7qsEjr65vM7gHWpUT3nTPuKMfXXnzul0eb3QvSmBrvvP6EqW/tjs1deMWY\nwviSxx/Z2O666e3VF43IM7s1ZAK+UiG1Qo2vnjPjioZ4zskLvzquVF6/5Om31uwtmXH94qdu\nlMzu7ZDsZjcAq1Kj9RtXPX7bNXWh6Cize0G6q3v8ijd2ds3783u/P3+kEOLKq+efedS5d15+\n50XLfml2a0hzfKWCDl688od7I+J/XnjvsqlFQghx/Y3//taxt7x65+0bvvPT8YVmd3cIvIpF\nAvHgxuNqh55+2vyHF+82uxdkgifuWmNzlt98bm33h87c6becXuWru2dVV8TcxpDW+EoFnTy6\nsS27/Fv7U50QQrKfd/tNQogVj241s63Dw4wdEpCdlbf99SEhRCy48frv3WZ2O0hvqhJ8ujHg\nHX6zx/bFS4xRV05Qn697cpdvuuW//YVl8ZUKelCVkKgaPnb8vJ4PZXu+ECLuj5vUVBIIdkhA\nsuXOPX2eECLSlWN2L0h7Ud/KYFwpqKnp+TCrYpoQL+1Z3SwIdhgovlJBD5Lsfn7xil4Ptz7x\nByHEuIuqzegoObyKBaAvJdwghMge5un50OaoEEKEG8Pm9AQAh239c7df9utVnqr5t84sN7uX\nQ2PGDoARJPmgzWSqGhRCKFHFpHYA4NBCDR/+8Wc/euy19Tk1p9z7wt1ZsvU3xTJjN+iFO96c\nUFVy4P++u6HF7I6QaWRXuRAisNPf82EstEMI4S5zm9MTAByCuuyB/3fqjLP/+dbuc6+987Ul\n/5xa4DK7pcPCjN1g58ieePuf/3rgw7IqlqogxRze4902KVB30L7FaNtWIUTZMUUavwgAzKPG\nHvnByb99dsPwuVf+5fafT6nINruhJBDsBjvZUX72+Rea3QUymSS7F5R6/rnzjqi60PHf9xh1\nj30mhLi4JtfMzgAgkc/uXfjbZzfM+N5Df/vp2Wnw8vVgvIoFoLsF1x0dD9X96oW67g/j4e23\nLKrLqbn62BynqX0BQB9K6Ed/eNcz5Mr70zDVCWbsABig+qIHzrh72qJr58mfXDWl2v3mg3ds\nibh/8dAPze4LAHoLtS7aFozmVNbf/OPre5XK595w9byhpnR1+Ah2AHQn2wtuf+P1qp/d9PwT\ndz0XtFVPnnXr7383fxQXxQKwnHDbMiFE15ZXn97SuzSm8OvWD3bS+voms3sAAABACrDGDgAA\nIEMQ7AAAADIEwQ6AoR6dOXLaxK8O4Bf++bgR04/qvZYZANATwQ6ARbV+9H/XfP2Sj7si3R/K\nNrvNzpesg/T6LQIAdsUCsKhg44dL31z25dj++2S/++7n3zW3Ievp9VsEAHz7CyBllFhH3Owe\njKZGIjE1iZ8ej8ST+OkDpoZJe8CgRLADcESePXH08TPvjXSu+cmFX5o+YlQgrgohAvXv/eaa\nBSdPrp06atTZp59/zz/e1EoZ217/+/cvnPulccMm11TNnnnijb/+W0dMFf+/vTsPqzlt4wB+\nn7VNaZOtxSHSrk5SpwyRrVUiykyjeWeMwTB4I+t4jZJtomUkTVTUm4nCq5EpxlQq6bXPYCqX\nsYQoJVo4/d4/DkeiX7K84zrX9/NX57mf37mf7nNd57p7fktEcY79Rv8jj4jmWhrYD/6XbER2\njV22v7WFQfeSF88/rrYTWfeXPOxkdiKqKkmf7+8qMektNjXx/3hG9pl78tC9U/sWfjzO2dTI\nun9fNzffLbsL5KGs4SZDhoSf37V8hGkfW1F3B2vxovC0FqILu1f5OpjaioxGu4yJybwkny82\n1JuafCFlRYBTf0Nrw17Og50Xh/5Y06r3aq8OLIt8uUSyVVUdT5g4xNi2T3exheWUqbMLKx/J\n34elMi1PqlPD5vhIzGz69LS3sP7sq8Vnqps6DAHAhwbPsQOAt5Lx0YDwpqChnIT79pM+sh3g\n/+m0J3eyfJw+r+T08JjsZajNu3R8X3bR1YETo/ZsmkJESRLjzXX2pedTiOhW7qJR07ar9ZNM\ndHPuKnhSfvLggWMXjXxSsqJGXS/OK81fsSTi/IzYnYN1jR0c+sU59tvW6FVyKqLm98XOo+PF\nG4qSpvSTraGpNkdsEWA0cc/BiKENt9myt3H3xPdjJ61ltG28J7ho8+7npCaXP1Bd+Vupr6F6\n9dmYcV6rGoUi90luBmoNpYd/KiyrdZy7Lz5YQkRZw01CrqlzpbUeX8yw6iU8mrj5t7Jacy/H\n8vyGT6dP1pReTY6Mr3zCTzpfbqsuJCKxoZ7AWK/+z3uOHn5Woq6Xig8cLb6ua//1kb0reKx1\nYFnkkMrTbUqUNdxk2R0zzcZCfc8gV7v+9/848uPOw3ytkSfOpPKI2CuT6G+1Pv+OvVegvWmv\n+htn0lKyGJ0xRaVJfA5bCAA+NLjGDgDe1sObEXWrcuKDrGQvt/nPq+SIEk8cGaSlREQ0f3nu\nKpc5cV9vne/2paFG6wOLQzM5wt4Zh/f0FPKIiChEy060+9dEolH6Q4Zy7msRkanTMAct5dZH\naQ5cLlJJvLw5jaYskY1cTVnHMMy0xWIi2v7a2YlpDgn6ntEYnl6wU6QqIKIvZnq6DPKJnJ3j\nu398aODaRoFxQkGOuJsKEbUsDN7o4ZgY5Vc6o0KsLiQiadPVwLRz/3TqQUTePgNtLQIuHrqS\neLrURkNIRC5GF8bOzttVWW+rri3L9uDy7Y+3Hl/s3p+IiFmRsWTEsuSoFUXTQx16sNSBZZHH\n9vu8XKKmuvzu8/clzZcQEdFn5jV2cw7kFNc1SzSELJX5XK9qQ/6tHsMTEmI8ZO/j2sVtdlrx\nL9WNo9VutBcap/PC5wIAHwKcigWAt8YRhn9iIftR2nAx9s+avoHRT7sHIiL6aF4YER1KKm9z\n3JjMorz/FjzrZohpefSYYRhpQwfZuKqLhvWsvx594eFj2ciOuEsq3aZM0lPtVPaHt2ILa5vM\nlobJGiYiUtKURK0Jn+Gv3Vh98NDdBlFApKyrIyIuX/vLaH+mpSn6WKVshK/SX9bVEZGS5ig1\nHldzYKisqyMiLTsHImpsdTpVpZvf066OiDh8r5WJyjxuwZoS9jqwLPKVxeHyVCK/dpC/NPE0\nIKJH0pYOKsNVFnDoQdnBCzfrZaFBS7Pyz14ap6PMFgKADw927ADgbQnULLWfPYik6X6ulGEu\nbx1tvrXttAd/1LUZUdbQqj1zZN/RwrKKKzdvXKv44/ztumYljbYHvmzQEl/mUEREzo147z6N\n9zL3VT0avH5uZ7PXX8knIhunbq0Hxf5BYqK6K/OISH+iUeuQaq/JRDFVx+6QhxERcflaraM8\nDgm1n//3Ww5X0CadRl/fF+YriYZpKuVdzyfyZKkDyyJfiadi2k3w/C92Du/p6VL2yvCENnEh\nfjPX/jR5yN5eJuJBtmI7pxFj3Id35XN4wt7thdpZAgD8ndDYAcDb4nBUn7/gColowMxI+W6W\nnFDdss3IL6smzNuWr2cx1EUiHjZ45LRg89sLJ4be7TijuijYvEvMhY2Z5P1NRcJmLk9t2fg+\nnc3ONDNEJOC8skF5xZ2rHA6PiOiNb2p9KRGfQ0xLE7HWgXWRr0zSzrd6R5Wxmxmd5zc3N/tw\nSVHxqbx/H0yJXbvSLupIpkRLiSX02r88APyfoLEDgHdJSdOVx1n6pNbYadhg+aC08c/Dhy/o\nmqm0nvm4/uSCbfk9RmzISQyUD2a8ZhqOINjNICh9Q3nD7NjkMm3rNcYq/E5lJyK1vlZEv546\nXU366vLB4rDg/TWayxePINp1I+MvstSVhx5V/kREOs7d6I3UlWcQuTxfVfO1X2uaVEwl7HVg\nWWTo+qWvn529Mk8elv1+uVbTzNpt6iy3qbOIqOLoRs9PwtesO5uxTKu90IE1g9vNBwB/E1xj\nBwDvEk9JNLO/1tU9s4qqnl8qd3DpJ8Gzple+uOskbSiTMkxXc2v5SOOdkh236tvsljHtbJCZ\nLQhkWpq+27sut7px1Opxnc1ORF16zzVRE55d/u31pqdP33v8oGRxfPKxU7rK2h6uOioVO785\nfe/pcz2YJzXbZidzuMKvXHu/fjVaa6hK3ZB95dmrlp9XBz6UttgvlLDXgWWR8vntlag19so0\n3N3u7zl2fsw5eaiXlQ0RSR9JWUKdrwEAvHfYsQOAdywweV360BlfSpxdvceaibTKCjL3/1Y+\nwO8HL90X9syUdXwctYJPbAlYzZ9l3lPl+uXS9ORDBnpKj2+e3Zmx39fbk9+FT0S7t+9sNrZx\n9257UZla768cNMKKl2wSqFn800Kns9mJiMPTiI4MGvd53HgnL58JI3QFtbkpO6paVJfFTSHi\nfrtjwfHxYdOcRnpPcdNXayz5ObXg8v0hc/Y6PLs9orNUelgnT3eu8A6w7KNxsTAzp/Av7UHT\nw130BUwHdWh/kcReotf/XBitRY46SUWbPGdcDbA2MWqpvZabuovH154VYtlFz6y90JvVAQDe\nK+zYAcA7ptrbOyMnZcIw/ZNZu6I2xZ27pzlzfVr6xklt53GVorJ3eTgZHNm+NnxdTGlFy6qs\nk1GxC3qqNW8IWVgnbdGx+XaYpUFp5PL10UdflYcz168vI2UMfdcqt/ome93sRETUa8zq/ySv\ndzB6sH/7xthtqcyAMWF7iib37UpE2jZzs9J/GGWrlpO2JSo2+S8li9nfZyYsHPrGZdEZtPLA\njyG157K3RW4pqRC6T1+dkfmdgNNxHVgW2VGJXsBSGQ5PIzpnb4CHQ9nR9C3h3yWm/Kxh7xtx\nsNC9pxpL6I1LAQDvDx5QDADw3okN9XRH782Od/67FwIACg47dgAAAAAKAo0dAAAAgILAzRMA\nAO/dSHdPDSudjucBALwdXGMHAAAAoCBwKhYAAABAQaCxAwAAAFAQaOwAAAAAFAQaOwAAAAAF\ngcYOAAAAQEGgsQMAAABQEGjsAAAAABQEGjsAAAAABYHGDgAAAEBBoLEDAAAAUBBo7AAAAAAU\nBBo7AAAAAAWBxg4AAABAQaCxAwAAAFAQaOwAAAAAFAQaOwAAAAAFgcYOAAAAQEH8D/ZqjEQ7\n+0j7AAAAAElFTkSuQmCC"},"metadata":{"image/png":{"height":420,"width":420}},"output_type":"display_data"}],"source":["energy %>% ggplot(aes(Relative_Compactness,Heating_Load)) +\n"," geom_point(aes(color = \"red\")) +\n"," xlab(\"relative compactness\") +\n"," ylab(\"heating load\") +\n"," ggtitle(\"Relative Compactness and Heating Load\") +\n"," theme_economist() +\n"," theme(legend.position = \"none\")"]},{"cell_type":"markdown","id":"d292b3a7","metadata":{"papermill":{"duration":0.301859,"end_time":"2022-04-08T01:53:20.24486","exception":false,"start_time":"2022-04-08T01:53:19.943001","status":"completed"},"tags":[]},"source":["scatter plot of surface area and cooling load"]},{"cell_type":"code","execution_count":16,"id":"274cf5d8","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:20.858989Z","iopub.status.busy":"2022-04-08T01:53:20.85678Z","iopub.status.idle":"2022-04-08T01:53:21.109287Z","shell.execute_reply":"2022-04-08T01:53:21.108168Z"},"papermill":{"duration":0.559599,"end_time":"2022-04-08T01:53:21.109439","exception":false,"start_time":"2022-04-08T01:53:20.54984","status":"completed"},"tags":[]},"outputs":[{"data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAABmJLR0QA/wD/AP+gvaeTAAAg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\nAQAAKATBDgAAQCEIdgAAAArxX1/ZtiRQ3Y/1AAAAAElFTkSuQmCC"},"metadata":{"image/png":{"height":420,"width":420}},"output_type":"display_data"}],"source":["energy %>% ggplot(aes(Surface_Area,Cooling_Load)) +\n"," geom_point(aes(color = \"blue\")) +\n"," xlab(\"surface area\") +\n"," ylab(\"cooling load\")+\n"," ggtitle(\"Surface area and cooling\") +\n"," theme_economist() +\n"," theme(legend.position = \"none\")"]},{"cell_type":"markdown","id":"82b12ab6","metadata":{"papermill":{"duration":0.306068,"end_time":"2022-04-08T01:53:21.725301","exception":false,"start_time":"2022-04-08T01:53:21.419233","status":"completed"},"tags":[]},"source":["scatter plot of roof area and cooling load"]},{"cell_type":"code","execution_count":17,"id":"19f55d0c","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:22.352785Z","iopub.status.busy":"2022-04-08T01:53:22.350684Z","iopub.status.idle":"2022-04-08T01:53:22.610948Z","shell.execute_reply":"2022-04-08T01:53:22.610249Z"},"papermill":{"duration":0.578476,"end_time":"2022-04-08T01:53:22.611122","exception":false,"start_time":"2022-04-08T01:53:22.032646","status":"completed"},"tags":[]},"outputs":[{"data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAABmJLR0QA/wD/AP+gvaeTAAAg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\nRK5CYII="},"metadata":{"image/png":{"height":420,"width":420}},"output_type":"display_data"}],"source":["energy %>% ggplot(aes(Roof_Area,Cooling_Load)) +\n"," geom_point(aes(color = \"blue\")) +\n"," xlab(\"roof area\") +\n"," ylab(\"cooling load\")+\n"," ggtitle(\"Roof area and cooling\") +\n"," theme_economist() +\n"," theme(legend.position = \"none\")"]},{"cell_type":"markdown","id":"de37cb89","metadata":{"papermill":{"duration":0.307903,"end_time":"2022-04-08T01:53:23.237936","exception":false,"start_time":"2022-04-08T01:53:22.930033","status":"completed"},"tags":[]},"source":["scatter plot of compactness and cooling load"]},{"cell_type":"code","execution_count":18,"id":"a27d00f8","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:23.867025Z","iopub.status.busy":"2022-04-08T01:53:23.865232Z","iopub.status.idle":"2022-04-08T01:53:24.124821Z","shell.execute_reply":"2022-04-08T01:53:24.124183Z"},"papermill":{"duration":0.573622,"end_time":"2022-04-08T01:53:24.124984","exception":false,"start_time":"2022-04-08T01:53:23.551362","status":"completed"},"tags":[]},"outputs":[{"data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAABmJLR0QA/wD/AP+gvaeTAAAg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\nAKjE/wNV2ZJJbEtDOgAAAABJRU5ErkJggg=="},"metadata":{"image/png":{"height":420,"width":420}},"output_type":"display_data"}],"source":["energy %>% ggplot(aes(Relative_Compactness,Cooling_Load)) +\n"," geom_point(aes(color = \"blue\")) +\n"," xlab(\"relative compactness\") +\n"," ylab(\"cooling load\") +\n"," ggtitle(\"Relative Compactness and Cooling Load\") +\n"," theme_economist() +\n"," theme(legend.position = \"none\") "]},{"cell_type":"markdown","id":"075705e0","metadata":{"papermill":{"duration":0.315632,"end_time":"2022-04-08T01:53:24.758338","exception":false,"start_time":"2022-04-08T01:53:24.442706","status":"completed"},"tags":[]},"source":["# 4. Models\n","\n","## 4.1 train and test sets\n","\n","We are going to split the data into a training set and a test set. The training set will be 80% of the total data set and the test will be 20%. We will be using the training set to train our regression models and then we will test those models on new data with in this case will be the test set that make up the remaining 20% of the data."]},{"cell_type":"code","execution_count":19,"id":"12a4c521","metadata":{"_kg_hide-output":true,"execution":{"iopub.execute_input":"2022-04-08T01:53:25.396478Z","iopub.status.busy":"2022-04-08T01:53:25.394887Z","iopub.status.idle":"2022-04-08T01:53:25.426062Z","shell.execute_reply":"2022-04-08T01:53:25.424812Z"},"papermill":{"duration":0.353876,"end_time":"2022-04-08T01:53:25.42622","exception":false,"start_time":"2022-04-08T01:53:25.072344","status":"completed"},"tags":[]},"outputs":[],"source":["#setting seed\n","options(warn=-1)\n","set.seed(1, sample.kind = \"Rounding\")\n","\n","#splitting data into test and train data sets\n","test_index <- createDataPartition(energy$Heating_Load, times = 1, p = 0.2, list = FALSE)\n","test <- energy[test_index,]\n","train <- energy[-test_index,]"]},{"cell_type":"markdown","id":"0211f76c","metadata":{"papermill":{"duration":0.31072,"end_time":"2022-04-08T01:53:26.049161","exception":false,"start_time":"2022-04-08T01:53:25.738441","status":"completed"},"tags":[]},"source":["checking to see if the test and train have similar outcomes"]},{"cell_type":"code","execution_count":20,"id":"f378265a","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:26.685043Z","iopub.status.busy":"2022-04-08T01:53:26.682021Z","iopub.status.idle":"2022-04-08T01:53:26.712726Z","shell.execute_reply":"2022-04-08T01:53:26.710423Z"},"papermill":{"duration":0.350438,"end_time":"2022-04-08T01:53:26.712981","exception":false,"start_time":"2022-04-08T01:53:26.362543","status":"completed"},"tags":[]},"outputs":[{"data":{"text/html":["22.2798202614379"],"text/latex":["22.2798202614379"],"text/markdown":["22.2798202614379"],"text/plain":["[1] 22.3"]},"metadata":{},"output_type":"display_data"},{"data":{"text/html":["22.4146153846154"],"text/latex":["22.4146153846154"],"text/markdown":["22.4146153846154"],"text/plain":["[1] 22.4"]},"metadata":{},"output_type":"display_data"}],"source":["mean(train$Heating_Load)\n","mean(test$Heating_Load)"]},{"cell_type":"markdown","id":"ce6811c5","metadata":{"papermill":{"duration":0.321526,"end_time":"2022-04-08T01:53:27.372548","exception":false,"start_time":"2022-04-08T01:53:27.051022","status":"completed"},"tags":[]},"source":["Will be using k-fold cross validation on all the algorithms"]},{"cell_type":"code","execution_count":21,"id":"94c0595e","metadata":{"_kg_hide-output":true,"execution":{"iopub.execute_input":"2022-04-08T01:53:28.013592Z","iopub.status.busy":"2022-04-08T01:53:28.011345Z","iopub.status.idle":"2022-04-08T01:53:28.039394Z","shell.execute_reply":"2022-04-08T01:53:28.03778Z"},"papermill":{"duration":0.348736,"end_time":"2022-04-08T01:53:28.039551","exception":false,"start_time":"2022-04-08T01:53:27.690815","status":"completed"},"tags":[]},"outputs":[],"source":["#creating the k-fold parameters, k is 10\n","set.seed(7, sample.kind = \"Rounding\")\n","control <- trainControl(method = \"cv\", number = 10, p = .9)"]},{"cell_type":"markdown","id":"3bd23abf","metadata":{"papermill":{"duration":0.318616,"end_time":"2022-04-08T01:53:28.677697","exception":false,"start_time":"2022-04-08T01:53:28.359081","status":"completed"},"tags":[]},"source":["# 4.2 Linear Regression\n","\n","Predicting the heating load using linear regression"]},{"cell_type":"code","execution_count":22,"id":"ada9ed9c","metadata":{"_kg_hide-output":true,"execution":{"iopub.execute_input":"2022-04-08T01:53:29.314105Z","iopub.status.busy":"2022-04-08T01:53:29.312373Z","iopub.status.idle":"2022-04-08T01:53:30.914572Z","shell.execute_reply":"2022-04-08T01:53:30.912984Z"},"papermill":{"duration":1.924398,"end_time":"2022-04-08T01:53:30.914737","exception":false,"start_time":"2022-04-08T01:53:28.990339","status":"completed"},"tags":[]},"outputs":[],"source":["#training the model using train set\n","set.seed(9, sample.kind = \"Rounding\")\n","train_lm <- train(Heating_Load ~ .,\n"," data = train,\n"," method = \"lm\",\n"," tuneGrid = data.frame(intercept = seq(-10,10,2)), \n"," trControl = control)"]},{"cell_type":"code","execution_count":23,"id":"30578e17","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:31.557285Z","iopub.status.busy":"2022-04-08T01:53:31.555621Z","iopub.status.idle":"2022-04-08T01:53:31.579295Z","shell.execute_reply":"2022-04-08T01:53:31.577753Z"},"papermill":{"duration":0.345804,"end_time":"2022-04-08T01:53:31.579481","exception":false,"start_time":"2022-04-08T01:53:31.233677","status":"completed"},"tags":[]},"outputs":[{"data":{"text/plain":["Linear Regression \n","\n","612 samples\n"," 9 predictor\n","\n","No pre-processing\n","Resampling: Cross-Validated (10 fold) \n","Summary of sample sizes: 552, 549, 551, 551, 551, 551, ... \n","Resampling results across tuning parameters:\n","\n"," intercept RMSE Rsquared MAE \n"," -10 1.83 0.969 1.26\n"," -8 1.83 0.969 1.26\n"," -6 1.83 0.969 1.26\n"," -4 1.83 0.969 1.26\n"," -2 1.83 0.969 1.26\n"," 0 1.91 0.967 1.38\n"," 2 1.83 0.969 1.26\n"," 4 1.83 0.969 1.26\n"," 6 1.83 0.969 1.26\n"," 8 1.83 0.969 1.26\n"," 10 1.83 0.969 1.26\n","\n","RMSE was used to select the optimal model using the smallest value.\n","The final value used for the model was intercept = -10."]},"metadata":{},"output_type":"display_data"}],"source":["#viewing training results\n","train_lm"]},{"cell_type":"markdown","id":"c91ca1c8","metadata":{"papermill":{"duration":0.323964,"end_time":"2022-04-08T01:53:32.227634","exception":false,"start_time":"2022-04-08T01:53:31.90367","status":"completed"},"tags":[]},"source":["plotting training results"]},{"cell_type":"code","execution_count":24,"id":"49e588b9","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:32.880694Z","iopub.status.busy":"2022-04-08T01:53:32.87906Z","iopub.status.idle":"2022-04-08T01:53:33.015415Z","shell.execute_reply":"2022-04-08T01:53:33.014516Z"},"papermill":{"duration":0.464642,"end_time":"2022-04-08T01:53:33.015567","exception":false,"start_time":"2022-04-08T01:53:32.550925","status":"completed"},"tags":[]},"outputs":[{"data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAABmJLR0QA/wD/AP+gvaeTAAAg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\nAABJRU5ErkJggg=="},"metadata":{"image/png":{"height":420,"width":420}},"output_type":"display_data"}],"source":["plot(train_lm)"]},{"cell_type":"markdown","id":"d5a106fe","metadata":{"papermill":{"duration":0.328578,"end_time":"2022-04-08T01:53:33.667664","exception":false,"start_time":"2022-04-08T01:53:33.339086","status":"completed"},"tags":[]},"source":["creating predictions"]},{"cell_type":"code","execution_count":25,"id":"e102e5d4","metadata":{"_kg_hide-output":true,"execution":{"iopub.execute_input":"2022-04-08T01:53:34.327136Z","iopub.status.busy":"2022-04-08T01:53:34.324854Z","iopub.status.idle":"2022-04-08T01:53:34.345812Z","shell.execute_reply":"2022-04-08T01:53:34.344038Z"},"papermill":{"duration":0.350201,"end_time":"2022-04-08T01:53:34.345992","exception":false,"start_time":"2022-04-08T01:53:33.995791","status":"completed"},"tags":[]},"outputs":[],"source":["lm_preds_hl <- predict(train_lm, test)"]},{"cell_type":"markdown","id":"7d847c3b","metadata":{"papermill":{"duration":0.318685,"end_time":"2022-04-08T01:53:34.988538","exception":false,"start_time":"2022-04-08T01:53:34.669853","status":"completed"},"tags":[]},"source":["calculating the RMSE for the linear regression model"]},{"cell_type":"code","execution_count":26,"id":"ada3254f","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:35.642229Z","iopub.status.busy":"2022-04-08T01:53:35.640998Z","iopub.status.idle":"2022-04-08T01:53:35.654936Z","shell.execute_reply":"2022-04-08T01:53:35.653709Z"},"papermill":{"duration":0.346361,"end_time":"2022-04-08T01:53:35.655129","exception":false,"start_time":"2022-04-08T01:53:35.308768","status":"completed"},"tags":[]},"outputs":[],"source":["lm_rmse_hl <- RMSE(lm_preds_hl,test$Heating_Load)"]},{"cell_type":"markdown","id":"c4e458f5","metadata":{"papermill":{"duration":0.325317,"end_time":"2022-04-08T01:53:36.306165","exception":false,"start_time":"2022-04-08T01:53:35.980848","status":"completed"},"tags":[]},"source":["Now we will apply linear regression to get a prediction for the cooling load\n","\n","training the model using train set"]},{"cell_type":"code","execution_count":27,"id":"5edd1eed","metadata":{"_kg_hide-output":true,"execution":{"iopub.execute_input":"2022-04-08T01:53:36.954324Z","iopub.status.busy":"2022-04-08T01:53:36.952135Z","iopub.status.idle":"2022-04-08T01:53:38.458858Z","shell.execute_reply":"2022-04-08T01:53:38.457249Z"},"papermill":{"duration":1.830493,"end_time":"2022-04-08T01:53:38.45904","exception":false,"start_time":"2022-04-08T01:53:36.628547","status":"completed"},"tags":[]},"outputs":[],"source":["set.seed(9, sample.kind = \"Rounding\")\n","train_lm <- train(Cooling_Load ~ .,\n"," data = train,\n"," method = \"lm\",\n"," tuneGrid = data.frame(intercept = seq(-10,10,2)), \n"," trControl = control)"]},{"cell_type":"code","execution_count":28,"id":"48332090","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:39.118398Z","iopub.status.busy":"2022-04-08T01:53:39.116173Z","iopub.status.idle":"2022-04-08T01:53:39.14106Z","shell.execute_reply":"2022-04-08T01:53:39.139108Z"},"papermill":{"duration":0.354566,"end_time":"2022-04-08T01:53:39.141222","exception":false,"start_time":"2022-04-08T01:53:38.786656","status":"completed"},"tags":[]},"outputs":[{"data":{"text/plain":["Linear Regression \n","\n","612 samples\n"," 9 predictor\n","\n","No pre-processing\n","Resampling: Cross-Validated (10 fold) \n","Summary of sample sizes: 552, 549, 551, 551, 551, 551, ... \n","Resampling results across tuning parameters:\n","\n"," intercept RMSE Rsquared MAE \n"," -10 1.98 0.959 1.45\n"," -8 1.98 0.959 1.45\n"," -6 1.98 0.959 1.45\n"," -4 1.98 0.959 1.45\n"," -2 1.98 0.959 1.45\n"," 0 2.10 0.955 1.52\n"," 2 1.98 0.959 1.45\n"," 4 1.98 0.959 1.45\n"," 6 1.98 0.959 1.45\n"," 8 1.98 0.959 1.45\n"," 10 1.98 0.959 1.45\n","\n","RMSE was used to select the optimal model using the smallest value.\n","The final value used for the model was intercept = -10."]},"metadata":{},"output_type":"display_data"}],"source":["#viewing training results\n","train_lm"]},{"cell_type":"markdown","id":"b710328c","metadata":{"papermill":{"duration":0.321069,"end_time":"2022-04-08T01:53:39.786777","exception":false,"start_time":"2022-04-08T01:53:39.465708","status":"completed"},"tags":[]},"source":["plotting training results"]},{"cell_type":"code","execution_count":29,"id":"ad68d0a3","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:40.438722Z","iopub.status.busy":"2022-04-08T01:53:40.436548Z","iopub.status.idle":"2022-04-08T01:53:40.55168Z","shell.execute_reply":"2022-04-08T01:53:40.550642Z"},"papermill":{"duration":0.442942,"end_time":"2022-04-08T01:53:40.551828","exception":false,"start_time":"2022-04-08T01:53:40.108886","status":"completed"},"tags":[]},"outputs":[{"data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAABmJLR0QA/wD/AP+gvaeTAAAg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\nWtFGpgAAAABJRU5ErkJggg=="},"metadata":{"image/png":{"height":420,"width":420}},"output_type":"display_data"}],"source":["plot(train_lm)"]},{"cell_type":"markdown","id":"d8fe6dd0","metadata":{"papermill":{"duration":0.322705,"end_time":"2022-04-08T01:53:41.197861","exception":false,"start_time":"2022-04-08T01:53:40.875156","status":"completed"},"tags":[]},"source":["creating predictions"]},{"cell_type":"code","execution_count":30,"id":"403471ad","metadata":{"_kg_hide-output":true,"execution":{"iopub.execute_input":"2022-04-08T01:53:41.856582Z","iopub.status.busy":"2022-04-08T01:53:41.854308Z","iopub.status.idle":"2022-04-08T01:53:41.873562Z","shell.execute_reply":"2022-04-08T01:53:41.871906Z"},"papermill":{"duration":0.348215,"end_time":"2022-04-08T01:53:41.873713","exception":false,"start_time":"2022-04-08T01:53:41.525498","status":"completed"},"tags":[]},"outputs":[],"source":["lm_preds_cl <- predict(train_lm, test)"]},{"cell_type":"markdown","id":"16a52ff3","metadata":{"papermill":{"duration":0.326712,"end_time":"2022-04-08T01:53:42.525945","exception":false,"start_time":"2022-04-08T01:53:42.199233","status":"completed"},"tags":[]},"source":["calculating the RMSE for the linear regression model"]},{"cell_type":"code","execution_count":31,"id":"d3b995df","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:43.188845Z","iopub.status.busy":"2022-04-08T01:53:43.186688Z","iopub.status.idle":"2022-04-08T01:53:43.202467Z","shell.execute_reply":"2022-04-08T01:53:43.20081Z"},"papermill":{"duration":0.344461,"end_time":"2022-04-08T01:53:43.20262","exception":false,"start_time":"2022-04-08T01:53:42.858159","status":"completed"},"tags":[]},"outputs":[],"source":["lm_rmse_cl <- RMSE(lm_preds_cl,test$Cooling_Load)"]},{"cell_type":"markdown","id":"591543ee","metadata":{"papermill":{"duration":0.330671,"end_time":"2022-04-08T01:53:43.864299","exception":false,"start_time":"2022-04-08T01:53:43.533628","status":"completed"},"tags":[]},"source":["# 4.3 ridge regression\n","\n","training the model using train set"]},{"cell_type":"code","execution_count":32,"id":"e9457c78","metadata":{"_kg_hide-output":true,"execution":{"iopub.execute_input":"2022-04-08T01:53:44.529638Z","iopub.status.busy":"2022-04-08T01:53:44.527504Z","iopub.status.idle":"2022-04-08T01:53:45.695626Z","shell.execute_reply":"2022-04-08T01:53:45.694351Z"},"papermill":{"duration":1.501817,"end_time":"2022-04-08T01:53:45.695787","exception":false,"start_time":"2022-04-08T01:53:44.19397","status":"completed"},"tags":[]},"outputs":[],"source":["set.seed(10, sample.kind = \"Rounding\")\n","train_ridge <- train(Heating_Load ~ .,\n"," data = train,\n"," method = \"ridge\",\n"," tuneGrid = data.frame(lambda = seq(.001,.005,.001)), \n"," trControl = control)"]},{"cell_type":"code","execution_count":33,"id":"1e3f7a08","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:46.359302Z","iopub.status.busy":"2022-04-08T01:53:46.357593Z","iopub.status.idle":"2022-04-08T01:53:46.380181Z","shell.execute_reply":"2022-04-08T01:53:46.378515Z"},"papermill":{"duration":0.358214,"end_time":"2022-04-08T01:53:46.380352","exception":false,"start_time":"2022-04-08T01:53:46.022138","status":"completed"},"tags":[]},"outputs":[{"data":{"text/plain":["Ridge Regression \n","\n","612 samples\n"," 9 predictor\n","\n","No pre-processing\n","Resampling: Cross-Validated (10 fold) \n","Summary of sample sizes: 550, 552, 551, 552, 549, 551, ... \n","Resampling results across tuning parameters:\n","\n"," lambda RMSE Rsquared MAE \n"," 0.001 1.81 0.969 1.25\n"," 0.002 1.81 0.969 1.25\n"," 0.003 1.81 0.969 1.25\n"," 0.004 1.81 0.969 1.25\n"," 0.005 1.81 0.969 1.24\n","\n","RMSE was used to select the optimal model using the smallest value.\n","The final value used for the model was lambda = 0.002."]},"metadata":{},"output_type":"display_data"}],"source":["#viewing training results\n","train_ridge"]},{"cell_type":"markdown","id":"ee0793c6","metadata":{"papermill":{"duration":0.327682,"end_time":"2022-04-08T01:53:47.035146","exception":false,"start_time":"2022-04-08T01:53:46.707464","status":"completed"},"tags":[]},"source":["plotting training results"]},{"cell_type":"code","execution_count":34,"id":"ca6e0bd5","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:47.703161Z","iopub.status.busy":"2022-04-08T01:53:47.701579Z","iopub.status.idle":"2022-04-08T01:53:47.813913Z","shell.execute_reply":"2022-04-08T01:53:47.813105Z"},"papermill":{"duration":0.449568,"end_time":"2022-04-08T01:53:47.814087","exception":false,"start_time":"2022-04-08T01:53:47.364519","status":"completed"},"tags":[]},"outputs":[{"data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAABmJLR0QA/wD/AP+gvaeTAAAg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\nAAAALIJgBwAAYBEEOwAAAIv4f0jGq2ysUq46AAAAAElFTkSuQmCC"},"metadata":{"image/png":{"height":420,"width":420}},"output_type":"display_data"}],"source":["plot(train_ridge)"]},{"cell_type":"markdown","id":"784fe483","metadata":{"papermill":{"duration":0.332853,"end_time":"2022-04-08T01:53:48.479968","exception":false,"start_time":"2022-04-08T01:53:48.147115","status":"completed"},"tags":[]},"source":["creating predictions"]},{"cell_type":"code","execution_count":35,"id":"6ca78313","metadata":{"_kg_hide-output":true,"execution":{"iopub.execute_input":"2022-04-08T01:53:49.175566Z","iopub.status.busy":"2022-04-08T01:53:49.173911Z","iopub.status.idle":"2022-04-08T01:53:49.192616Z","shell.execute_reply":"2022-04-08T01:53:49.191279Z"},"papermill":{"duration":0.350817,"end_time":"2022-04-08T01:53:49.192824","exception":false,"start_time":"2022-04-08T01:53:48.842007","status":"completed"},"tags":[]},"outputs":[],"source":["ridge_preds_hl <- predict(train_ridge,test)"]},{"cell_type":"markdown","id":"59a1e626","metadata":{"papermill":{"duration":0.326956,"end_time":"2022-04-08T01:53:49.85049","exception":false,"start_time":"2022-04-08T01:53:49.523534","status":"completed"},"tags":[]},"source":["creating RMSE for ridge regression model"]},{"cell_type":"code","execution_count":36,"id":"7bc38194","metadata":{"_kg_hide-output":true,"execution":{"iopub.execute_input":"2022-04-08T01:53:50.511064Z","iopub.status.busy":"2022-04-08T01:53:50.509495Z","iopub.status.idle":"2022-04-08T01:53:50.524027Z","shell.execute_reply":"2022-04-08T01:53:50.522159Z"},"papermill":{"duration":0.348551,"end_time":"2022-04-08T01:53:50.52418","exception":false,"start_time":"2022-04-08T01:53:50.175629","status":"completed"},"tags":[]},"outputs":[],"source":["ridge_rmse_hl <- RMSE(ridge_preds_hl, test$Heating_Load)"]},{"cell_type":"markdown","id":"5f79b101","metadata":{"papermill":{"duration":0.327165,"end_time":"2022-04-08T01:53:51.179783","exception":false,"start_time":"2022-04-08T01:53:50.852618","status":"completed"},"tags":[]},"source":["now creating our ridge model for cooling load"]},{"cell_type":"code","execution_count":37,"id":"ed5f3a90","metadata":{"_kg_hide-output":true,"execution":{"iopub.execute_input":"2022-04-08T01:53:51.842698Z","iopub.status.busy":"2022-04-08T01:53:51.840542Z","iopub.status.idle":"2022-04-08T01:53:52.956919Z","shell.execute_reply":"2022-04-08T01:53:52.955199Z"},"papermill":{"duration":1.446176,"end_time":"2022-04-08T01:53:52.957114","exception":false,"start_time":"2022-04-08T01:53:51.510938","status":"completed"},"tags":[]},"outputs":[],"source":["#training the model using train set\n","set.seed(10, sample.kind = \"Rounding\")\n","train_ridge <- train(Cooling_Load ~ .,\n"," data = train,\n"," method = \"ridge\",\n"," tuneGrid = data.frame(lambda = seq(.001,.005,.001)), \n"," trControl = control)"]},{"cell_type":"code","execution_count":38,"id":"17039d8f","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:53.621736Z","iopub.status.busy":"2022-04-08T01:53:53.619517Z","iopub.status.idle":"2022-04-08T01:53:53.644983Z","shell.execute_reply":"2022-04-08T01:53:53.643079Z"},"papermill":{"duration":0.358824,"end_time":"2022-04-08T01:53:53.645146","exception":false,"start_time":"2022-04-08T01:53:53.286322","status":"completed"},"tags":[]},"outputs":[{"data":{"text/plain":["Ridge Regression \n","\n","612 samples\n"," 9 predictor\n","\n","No pre-processing\n","Resampling: Cross-Validated (10 fold) \n","Summary of sample sizes: 550, 552, 551, 552, 549, 551, ... \n","Resampling results across tuning parameters:\n","\n"," lambda RMSE Rsquared MAE \n"," 0.001 1.98 0.959 1.45\n"," 0.002 1.98 0.959 1.45\n"," 0.003 1.98 0.959 1.45\n"," 0.004 1.98 0.959 1.45\n"," 0.005 1.98 0.959 1.45\n","\n","RMSE was used to select the optimal model using the smallest value.\n","The final value used for the model was lambda = 0.002."]},"metadata":{},"output_type":"display_data"}],"source":["#viewing training results\n","train_ridge"]},{"cell_type":"markdown","id":"a57f0dee","metadata":{"papermill":{"duration":0.331302,"end_time":"2022-04-08T01:53:54.302426","exception":false,"start_time":"2022-04-08T01:53:53.971124","status":"completed"},"tags":[]},"source":["plotting training results"]},{"cell_type":"code","execution_count":39,"id":"008b7bb4","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:54.967916Z","iopub.status.busy":"2022-04-08T01:53:54.965782Z","iopub.status.idle":"2022-04-08T01:53:55.081077Z","shell.execute_reply":"2022-04-08T01:53:55.079613Z"},"papermill":{"duration":0.448102,"end_time":"2022-04-08T01:53:55.081225","exception":false,"start_time":"2022-04-08T01:53:54.633123","status":"completed"},"tags":[]},"outputs":[{"data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAABmJLR0QA/wD/AP+gvaeTAAAg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\nAABgEv8PVlJTCffrDnoAAAAASUVORK5CYII="},"metadata":{"image/png":{"height":420,"width":420}},"output_type":"display_data"}],"source":["plot(train_ridge)"]},{"cell_type":"markdown","id":"c7eb03ba","metadata":{"papermill":{"duration":0.33773,"end_time":"2022-04-08T01:53:55.749552","exception":false,"start_time":"2022-04-08T01:53:55.411822","status":"completed"},"tags":[]},"source":["creating predictions"]},{"cell_type":"code","execution_count":40,"id":"8d605b08","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:56.419647Z","iopub.status.busy":"2022-04-08T01:53:56.417369Z","iopub.status.idle":"2022-04-08T01:53:56.436151Z","shell.execute_reply":"2022-04-08T01:53:56.43448Z"},"papermill":{"duration":0.355861,"end_time":"2022-04-08T01:53:56.436321","exception":false,"start_time":"2022-04-08T01:53:56.08046","status":"completed"},"tags":[]},"outputs":[],"source":["ridge_preds_cl <- predict(train_ridge,test)"]},{"cell_type":"markdown","id":"1a2ed6db","metadata":{"papermill":{"duration":0.329901,"end_time":"2022-04-08T01:53:57.103037","exception":false,"start_time":"2022-04-08T01:53:56.773136","status":"completed"},"tags":[]},"source":["creating RMSE for ridge regression model"]},{"cell_type":"code","execution_count":41,"id":"b8a82b3b","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:53:57.776491Z","iopub.status.busy":"2022-04-08T01:53:57.77437Z","iopub.status.idle":"2022-04-08T01:53:57.789599Z","shell.execute_reply":"2022-04-08T01:53:57.787834Z"},"papermill":{"duration":0.354458,"end_time":"2022-04-08T01:53:57.789751","exception":false,"start_time":"2022-04-08T01:53:57.435293","status":"completed"},"tags":[]},"outputs":[],"source":["ridge_rmse_cl <- RMSE(ridge_preds_cl, test$Cooling_Load)"]},{"cell_type":"markdown","id":"105eaa8f","metadata":{"papermill":{"duration":0.33427,"end_time":"2022-04-08T01:53:58.454981","exception":false,"start_time":"2022-04-08T01:53:58.120711","status":"completed"},"tags":[]},"source":["# 4.4 Random Forest\n","\n","training the model using training set"]},{"cell_type":"code","execution_count":42,"id":"6bce9117","metadata":{"_kg_hide-output":true,"execution":{"iopub.execute_input":"2022-04-08T01:53:59.130619Z","iopub.status.busy":"2022-04-08T01:53:59.128469Z","iopub.status.idle":"2022-04-08T01:54:36.781559Z","shell.execute_reply":"2022-04-08T01:54:36.780499Z"},"papermill":{"duration":37.991307,"end_time":"2022-04-08T01:54:36.781712","exception":false,"start_time":"2022-04-08T01:53:58.790405","status":"completed"},"tags":[]},"outputs":[],"source":["set.seed(12, sample.kind = \"Rounding\")\n","train_rf <- train(Heating_Load ~ .,\n"," data = train,\n"," method = \"rf\",\n"," tuneGrid = data.frame(mtry = seq(2,10,2)), \n"," trControl = control)"]},{"cell_type":"code","execution_count":43,"id":"76532302","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:54:37.466309Z","iopub.status.busy":"2022-04-08T01:54:37.464859Z","iopub.status.idle":"2022-04-08T01:54:37.486309Z","shell.execute_reply":"2022-04-08T01:54:37.484802Z"},"papermill":{"duration":0.364186,"end_time":"2022-04-08T01:54:37.486466","exception":false,"start_time":"2022-04-08T01:54:37.12228","status":"completed"},"tags":[]},"outputs":[{"data":{"text/plain":["Random Forest \n","\n","612 samples\n"," 9 predictor\n","\n","No pre-processing\n","Resampling: Cross-Validated (10 fold) \n","Summary of sample sizes: 548, 551, 551, 551, 552, 552, ... \n","Resampling results across tuning parameters:\n","\n"," mtry RMSE Rsquared MAE \n"," 2 0.912 0.992 0.663\n"," 4 0.650 0.996 0.389\n"," 6 0.674 0.995 0.380\n"," 8 0.767 0.994 0.410\n"," 10 0.798 0.993 0.424\n","\n","RMSE was used to select the optimal model using the smallest value.\n","The final value used for the model was mtry = 4."]},"metadata":{},"output_type":"display_data"}],"source":["#veiwing training results\n","train_rf"]},{"cell_type":"markdown","id":"de77e1eb","metadata":{"papermill":{"duration":0.333769,"end_time":"2022-04-08T01:54:38.15519","exception":false,"start_time":"2022-04-08T01:54:37.821421","status":"completed"},"tags":[]},"source":["plotting training results"]},{"cell_type":"code","execution_count":44,"id":"e0a93a19","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:54:38.834897Z","iopub.status.busy":"2022-04-08T01:54:38.834187Z","iopub.status.idle":"2022-04-08T01:54:38.950454Z","shell.execute_reply":"2022-04-08T01:54:38.949787Z"},"papermill":{"duration":0.46148,"end_time":"2022-04-08T01:54:38.950599","exception":false,"start_time":"2022-04-08T01:54:38.489119","status":"completed"},"tags":[]},"outputs":[{"data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAABmJLR0QA/wD/AP+gvaeTAAAg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\nRU5ErkJggg=="},"metadata":{"image/png":{"height":420,"width":420}},"output_type":"display_data"}],"source":["plot(train_rf)"]},{"cell_type":"markdown","id":"0c501af4","metadata":{"papermill":{"duration":0.338312,"end_time":"2022-04-08T01:54:39.628379","exception":false,"start_time":"2022-04-08T01:54:39.290067","status":"completed"},"tags":[]},"source":["creating predictions"]},{"cell_type":"code","execution_count":45,"id":"54099a78","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:54:40.308059Z","iopub.status.busy":"2022-04-08T01:54:40.306503Z","iopub.status.idle":"2022-04-08T01:54:40.332113Z","shell.execute_reply":"2022-04-08T01:54:40.33077Z"},"papermill":{"duration":0.366536,"end_time":"2022-04-08T01:54:40.332297","exception":false,"start_time":"2022-04-08T01:54:39.965761","status":"completed"},"tags":[]},"outputs":[],"source":["rf_preds_hl <- predict(train_rf,test)"]},{"cell_type":"markdown","id":"0802a955","metadata":{"papermill":{"duration":0.334363,"end_time":"2022-04-08T01:54:41.002683","exception":false,"start_time":"2022-04-08T01:54:40.66832","status":"completed"},"tags":[]},"source":["creating RMSE for random forest model"]},{"cell_type":"code","execution_count":46,"id":"310d7cc4","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:54:41.683928Z","iopub.status.busy":"2022-04-08T01:54:41.682368Z","iopub.status.idle":"2022-04-08T01:54:41.697474Z","shell.execute_reply":"2022-04-08T01:54:41.696075Z"},"papermill":{"duration":0.359749,"end_time":"2022-04-08T01:54:41.697622","exception":false,"start_time":"2022-04-08T01:54:41.337873","status":"completed"},"tags":[]},"outputs":[],"source":["rf_rmse_hl <- RMSE(rf_preds_hl,test$Heating_Load)"]},{"cell_type":"markdown","id":"9a38d9c8","metadata":{"papermill":{"duration":0.337958,"end_time":"2022-04-08T01:54:42.370996","exception":false,"start_time":"2022-04-08T01:54:42.033038","status":"completed"},"tags":[]},"source":["Now creating a random forest model for cooling load"]},{"cell_type":"code","execution_count":47,"id":"ed85e3a3","metadata":{"_kg_hide-output":true,"execution":{"iopub.execute_input":"2022-04-08T01:54:43.060281Z","iopub.status.busy":"2022-04-08T01:54:43.058486Z","iopub.status.idle":"2022-04-08T01:55:19.361637Z","shell.execute_reply":"2022-04-08T01:55:19.359799Z"},"papermill":{"duration":36.645691,"end_time":"2022-04-08T01:55:19.361889","exception":false,"start_time":"2022-04-08T01:54:42.716198","status":"completed"},"tags":[]},"outputs":[],"source":["#training the model using training set\n","set.seed(12, sample.kind = \"Rounding\")\n","train_rf <- train(Cooling_Load ~ .,\n"," data = train,\n"," method = \"rf\",\n"," tuneGrid = data.frame(mtry = seq(2,10,2)), \n"," trControl = control)"]},{"cell_type":"markdown","id":"77ffd733","metadata":{"papermill":{"duration":0.334993,"end_time":"2022-04-08T01:55:20.033072","exception":false,"start_time":"2022-04-08T01:55:19.698079","status":"completed"},"tags":[]},"source":["plotting training results"]},{"cell_type":"code","execution_count":48,"id":"b8cfa435","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:55:20.708254Z","iopub.status.busy":"2022-04-08T01:55:20.706883Z","iopub.status.idle":"2022-04-08T01:55:20.827239Z","shell.execute_reply":"2022-04-08T01:55:20.826582Z"},"papermill":{"duration":0.460509,"end_time":"2022-04-08T01:55:20.827384","exception":false,"start_time":"2022-04-08T01:55:20.366875","status":"completed"},"tags":[]},"outputs":[{"data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAABmJLR0QA/wD/AP+gvaeTAAAg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\nTkSuQmCC"},"metadata":{"image/png":{"height":420,"width":420}},"output_type":"display_data"}],"source":["plot(train_rf)"]},{"cell_type":"markdown","id":"c8492e0b","metadata":{"papermill":{"duration":0.347582,"end_time":"2022-04-08T01:55:21.624297","exception":false,"start_time":"2022-04-08T01:55:21.276715","status":"completed"},"tags":[]},"source":["creating predictions"]},{"cell_type":"code","execution_count":49,"id":"09fb9b5f","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:55:22.315556Z","iopub.status.busy":"2022-04-08T01:55:22.312885Z","iopub.status.idle":"2022-04-08T01:55:22.342783Z","shell.execute_reply":"2022-04-08T01:55:22.341088Z"},"papermill":{"duration":0.375638,"end_time":"2022-04-08T01:55:22.342941","exception":false,"start_time":"2022-04-08T01:55:21.967303","status":"completed"},"tags":[]},"outputs":[],"source":["rf_preds_cl <- predict(train_rf,test)"]},{"cell_type":"markdown","id":"63f372f7","metadata":{"papermill":{"duration":0.342297,"end_time":"2022-04-08T01:55:23.030606","exception":false,"start_time":"2022-04-08T01:55:22.688309","status":"completed"},"tags":[]},"source":["creating RMSE for random forest model"]},{"cell_type":"code","execution_count":50,"id":"53452fd5","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:55:23.728507Z","iopub.status.busy":"2022-04-08T01:55:23.72631Z","iopub.status.idle":"2022-04-08T01:55:23.743114Z","shell.execute_reply":"2022-04-08T01:55:23.741206Z"},"papermill":{"duration":0.368522,"end_time":"2022-04-08T01:55:23.743292","exception":false,"start_time":"2022-04-08T01:55:23.37477","status":"completed"},"tags":[]},"outputs":[],"source":["rf_rmse_cl <- RMSE(rf_preds_cl,test$Cooling_Load)"]},{"cell_type":"markdown","id":"5a6af40f","metadata":{"papermill":{"duration":0.344261,"end_time":"2022-04-08T01:55:24.432538","exception":false,"start_time":"2022-04-08T01:55:24.088277","status":"completed"},"tags":[]},"source":["# 4.5 Ensemble"]},{"cell_type":"code","execution_count":51,"id":"466ae0f4","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:55:25.126664Z","iopub.status.busy":"2022-04-08T01:55:25.125179Z","iopub.status.idle":"2022-04-08T01:55:25.148082Z","shell.execute_reply":"2022-04-08T01:55:25.146739Z"},"papermill":{"duration":0.369366,"end_time":"2022-04-08T01:55:25.148235","exception":false,"start_time":"2022-04-08T01:55:24.778869","status":"completed"},"tags":[]},"outputs":[],"source":["heating_preds <- data.frame(\"lm\" = lm_preds_hl,\n"," \"ridge\" = ridge_preds_hl,\n"," \"rf\" = rf_preds_hl)\n","\n","ensemble_preds_hl <- rowMeans(heating_preds) \n","\n","heating_preds$ensemble <- ensemble_preds_hl\n","\n","ensemble_rmse_hl <- RMSE(ensemble_preds_hl,test$Heating_Load)"]},{"cell_type":"markdown","id":"2cb9fe9a","metadata":{"papermill":{"duration":0.341459,"end_time":"2022-04-08T01:55:25.831539","exception":false,"start_time":"2022-04-08T01:55:25.49008","status":"completed"},"tags":[]},"source":["Ensemble for cooling load"]},{"cell_type":"code","execution_count":52,"id":"ee0a4027","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:55:26.521165Z","iopub.status.busy":"2022-04-08T01:55:26.519557Z","iopub.status.idle":"2022-04-08T01:55:26.54158Z","shell.execute_reply":"2022-04-08T01:55:26.540394Z"},"papermill":{"duration":0.368833,"end_time":"2022-04-08T01:55:26.541751","exception":false,"start_time":"2022-04-08T01:55:26.172918","status":"completed"},"tags":[]},"outputs":[],"source":["cooling_preds <- data.frame(\"lm\" = lm_preds_cl,\n"," \"ridge\" = ridge_preds_cl,\n"," \"rf\" = rf_preds_cl)\n","\n","ensemble_preds_cl <- rowMeans(cooling_preds) \n","\n","cooling_preds$ensemble <- ensemble_preds_cl\n","\n","ensemble_rmse_cl <- RMSE(ensemble_preds_cl,test$Cooling_Load)"]},{"cell_type":"markdown","id":"9fd1ff00","metadata":{"papermill":{"duration":0.340031,"end_time":"2022-04-08T01:55:27.226098","exception":false,"start_time":"2022-04-08T01:55:26.886067","status":"completed"},"tags":[]},"source":["# 5. Results\n","\n","## 5.1 table of results"]},{"cell_type":"code","execution_count":53,"id":"7c5fcdcd","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:55:27.945826Z","iopub.status.busy":"2022-04-08T01:55:27.943606Z","iopub.status.idle":"2022-04-08T01:55:27.985989Z","shell.execute_reply":"2022-04-08T01:55:27.984016Z"},"papermill":{"duration":0.421482,"end_time":"2022-04-08T01:55:27.98615","exception":false,"start_time":"2022-04-08T01:55:27.564668","status":"completed"},"tags":[]},"outputs":[{"data":{"text/plain":["\n","\n","|Model | Heating| Cooling|\n","|:-----------------|-------:|-------:|\n","|Linear Regression | 1.675| 1.86|\n","|Ridge Regression | 1.673| 1.87|\n","|Random Forest | 0.631| 1.26|\n","|Ensemble | 1.246| 1.56|"]},"metadata":{},"output_type":"display_data"}],"source":["options(digits = 3)\n","results <- data.frame(Model = c(\"Linear Regression\",\n"," \"Ridge Regression\",\n"," \"Random Forest\",\n"," \"Ensemble\"),\n"," Heating = c(lm_rmse_hl,\n"," ridge_rmse_hl,\n"," rf_rmse_hl,\n"," ensemble_rmse_hl),\n"," Cooling = c(lm_rmse_cl,\n"," ridge_rmse_cl,\n"," rf_rmse_cl,\n"," ensemble_rmse_cl))\n","\n","kable(results)"]},{"cell_type":"markdown","id":"dee305a4","metadata":{"papermill":{"duration":0.342723,"end_time":"2022-04-08T01:55:28.673098","exception":false,"start_time":"2022-04-08T01:55:28.330375","status":"completed"},"tags":[]},"source":["## 5.2 plot of results\n","\n","For the heating load, our best model was random forest. Here is a plot of the random forest predictions against the actual results."]},{"cell_type":"code","execution_count":54,"id":"a3237fc5","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:55:29.387013Z","iopub.status.busy":"2022-04-08T01:55:29.384538Z","iopub.status.idle":"2022-04-08T01:55:29.629699Z","shell.execute_reply":"2022-04-08T01:55:29.6286Z"},"papermill":{"duration":0.615015,"end_time":"2022-04-08T01:55:29.62985","exception":false,"start_time":"2022-04-08T01:55:29.014835","status":"completed"},"tags":[]},"outputs":[{"data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAABmJLR0QA/wD/AP+gvaeTAAAg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\n1gAAAABJRU5ErkJggg=="},"metadata":{"image/png":{"height":420,"width":420}},"output_type":"display_data"}],"source":["data.frame(actual = test$Heating_Load,\n"," predicted = rf_preds_hl) %>%\n"," ggplot(aes(actual,predicted)) +\n"," geom_point() +\n"," geom_abline(intercept = 0, slope = 1) +\n"," xlab(\"actual\") +\n"," ylab(\"predicted\") +\n"," ggtitle(\"Heating Load: Actual vs Predicted\") +\n"," theme_economist()"]},{"cell_type":"markdown","id":"d16e6eaf","metadata":{"papermill":{"duration":0.341272,"end_time":"2022-04-08T01:55:30.314026","exception":false,"start_time":"2022-04-08T01:55:29.972754","status":"completed"},"tags":[]},"source":["For the cooling load, our best model was also random forest. Here is a plot of the random forest predictions against the actual results."]},{"cell_type":"code","execution_count":55,"id":"e60c6df6","metadata":{"execution":{"iopub.execute_input":"2022-04-08T01:55:31.019488Z","iopub.status.busy":"2022-04-08T01:55:31.018444Z","iopub.status.idle":"2022-04-08T01:55:31.272661Z","shell.execute_reply":"2022-04-08T01:55:31.272033Z"},"papermill":{"duration":0.611276,"end_time":"2022-04-08T01:55:31.27282","exception":false,"start_time":"2022-04-08T01:55:30.661544","status":"completed"},"tags":[]},"outputs":[{"data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAABmJLR0QA/wD/AP+gvaeTAAAg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\n6oNUYOoiCAAAAABJRU5ErkJggg=="},"metadata":{"image/png":{"height":420,"width":420}},"output_type":"display_data"}],"source":["data.frame(actual = test$Cooling_Load,\n"," predicted = rf_preds_cl) %>%\n"," ggplot(aes(actual,predicted)) +\n"," geom_point() +\n"," geom_abline(intercept = 0, slope = 1) +\n"," xlab(\"actual\") +\n"," ylab(\"predicted\") +\n"," ggtitle(\"Cooling Load: Actual vs Predicted\") +\n"," theme_economist()"]},{"cell_type":"markdown","id":"6115c09c","metadata":{"papermill":{"duration":0.349984,"end_time":"2022-04-08T01:55:31.970313","exception":false,"start_time":"2022-04-08T01:55:31.620329","status":"completed"},"tags":[]},"source":["## 5.3 brief thoughts on results\n","\n","I was not surprised that the linear regression model had the highest RMSE. Although the linear regression model is a powerful one, its weakness is when there is variety in the data that doesn't quite line up linearly. I did think this was a good starting point because it gave us a baseline of the relation between the features and the outputs.\n","\n","I really didn't know what to expect from the ridge regression model. I was surprised that it wasn't that much better than the linear model. Ridge regression models do well when the features are highly correlated, I was thinking that might be the case so I wanted to try it out and see the results.\n","\n","I was not surprised that the random forest model was the best performing model. It is a very powerful model that seems to do well for both regression and classification models. I found it very interesting that the model was able to better predict the heating load over the cooling load. The model's prediction was better for cooling loads under 25 but struggled a bit when it was over 25. My hypothesis is that cooling load is more difficult to predict because of the sun's affect on a building. This might also explain why the cooling loads are higher than the heating loads. It might be more difficult to maintain room temperature if the sunlight is countering the cooling affects.\n","\n","The ensemble landed up having a RMSE that landed in the middle of the results. This made sense to me sense we were taking the mean from the three models. I think the ensemble would do really well when applied to a large data set due to its middle of the road approach.\n","\n","# 6. Conclusion\n","\n","## 6.1 summary\n","\n","We were able to predict the heating and cooling load of buildings by using a dataset of building features and heating and cooling loads. We used supervised machine learning to create predictions. We had a total of 4 regression models: linear regression, ridge regression, random forest, an ensemble of first 3 models. Random forest was our best model for predicting heating load with a RMSE of .63. The random forest model was also the best model for predicting the cooling load with a RMSE of 1.26. \n","\n","## 6.2 limitations\n","\n","The limitation of this model is the size of the dataset. We are only looking at a sample of 768 buildings. With more data with more variety of buildings I think we could see a more robust model.\n","\n","I would also like to see a model with more features. I think there was a lot of information that was missing from the dataset. Where are these buildings located? Do they experience the same climate, etc...\n","\n","## 6.3 next steps\n","\n","The next step would be to use this model to predict the heating and cooling load of the next home or building that you plan on purchasing!"]}],"metadata":{"kernelspec":{"display_name":"R","language":"R","name":"ir"},"language_info":{"codemirror_mode":"r","file_extension":".r","mimetype":"text/x-r-source","name":"R","pygments_lexer":"r","version":"4.0.5"},"papermill":{"default_parameters":{},"duration":160.274325,"end_time":"2022-04-08T01:55:32.43092","environment_variables":{},"exception":null,"input_path":"__notebook__.ipynb","output_path":"__notebook__.ipynb","parameters":{},"start_time":"2022-04-08T01:52:52.156595","version":"2.3.3"}},"nbformat":4,"nbformat_minor":5}