diff --git a/QV.nlogo b/QV.nlogo
index 3ca9299..b495817 100644
--- a/QV.nlogo
+++ b/QV.nlogo
@@ -9,6 +9,7 @@ voters-own [
last-voice-credits-spent
votes-cast
perceived-pivotality
+ majority? ;;True if voter is part of the majority voters, False if voter is part of the minority fraction of voters
]
referenda-own [
@@ -98,15 +99,19 @@ to create-voters-with-prop8-utility-dist
(ifelse
random-num < lgbt-in-relationship [
set utility 2 + random-float 18
+ set majority? false
]
random-num < lgbt-total [ ; This the portion of the population that is LGBT and not in a relationship, because any number below 0.007 already went to lgbt-in-relationship
set utility 0.5 + random-float 3.5
+ set majority? false
]
random-num < het-support + lgbt-total [ ; This is the % of the non-LGBT population that supported gay marriage (the number has to be greater than lgbt-total already)
set utility random-float 1
+ set majority? false
]
[ ; the remaining % of the population opposed gay marriage
set utility random-float -1
+ set majority? true
]
)
]
@@ -116,9 +121,11 @@ end
to create-voters-with-manually-chosen-utililties
create-voters round (number-of-voters * (1 - minority-fraction)) [
set utility random-normal majority-mean-utility majority-utility-stdev ; If the utility > 0, voter wants the referendum to pass and vice versa. The larger abs utility is, the more the voter cares.
+ set majority? true
]
create-voters round (number-of-voters * minority-fraction) [
set utility random-normal minority-mean-utility minority-utility-stdev ; If the utility > 0, voter wants the referendum to pass and vice versa. The larger abs utility is, the more the voter cares.
+ set majority? false
]
end
@@ -285,7 +292,10 @@ to assign-pmp
; ifelse estimating-PMP-from-polls? [
; estimate-pmp-from-polls
; ] [
- assign-pmp-from-distribution
+ ifelse utility-pmp-correlation = 0
+ [assign-pmp-from-distribution]
+ [assign-correlated-pmp-from-distribution]
+
; ]
end
@@ -319,6 +329,49 @@ to assign-pmp-from-distribution
)
end
+to assign-correlated-pmp-from-distribution
+ ; beta distribution at low variance is similar to a normal distribution
+ ; assume uncorrelated pmp is normally distributed with mean = 0.5 and stdev = 0.1
+ ; 11/1/2020 adding majority? attribute for voters to determine z score of utility
+ ; Since the majority/minority distributions are inconsistent, this method involves finding the correlated-pmp by breaking it up into two components: the uncorrelated pmp distribution (weighted by 1 - |utility-pmp-correlation|) and a direct correlation (weighted by utility-pmp-correlation)
+ ; uniform distribution equations: https://courses.lumenlearning.com/odessa-introstats1-1/chapter/the-uniform-distribution/
+ ask voters [
+ let zscore 0
+ (ifelse
+ calibration = "manual" [
+ ; https://stats.stackexchange.com/questions/117741/adding-two-or-more-means-and-calculating-the-new-standard-deviation
+ let manual-mean (majority-mean-utility * (1 - minority-fraction)) + (minority-mean-utility * minority-fraction)
+ let manual-stdev (majority-utility-stdev * (1 - minority-fraction)) + (minority-utility-stdev * minority-fraction)
+ set zscore ((utility - manual-mean) / manual-stdev)
+ ]
+ calibration = "1. prop8-mean>0" [
+ let prop8-majority-mean -0.5 ;; uniformally distributed (-1,0) -> mean = -0.5
+ let prop8-majority-stdev 0.28 ;; stdev for population equal to sqrt(1 / 12)
+ let prop8-minority-mean 0.77 ;; found by sum of means weighted by their relative proportion: (0.44(0.5) + 0.033(2.25) + 0.004(11)) / 0.48
+ let prop8-minority-stdev 4 ;; since max value of 20, this keeps pmp bound in (0,1)
+ ifelse majority? = true
+ [set zscore ((utility - prop8-majority-mean) / prop8-majority-stdev)]
+ [set zscore ((utility - prop8-minority-mean) / prop8-minority-stdev)]
+ ]
+ calibration = "2. prop8-mean=0" [
+ let prop8-majority-mean -0.5 ;; uniformally distributed (-1,0) -> mean = -0.5
+ let prop8-majority-stdev 0.28 ;; stdev for population equal to sqrt(1 / 12)
+ let prop8-minority-mean 0.865 ;; found by sum of means weighted by their relative proportion: (0.32(0.5) + 0.033(2.25) + 0.004(11)) / 0.36
+ let prop8-minority-stdev 4 ;; since max value of 20, this keeps pmp bound in (0,1)
+ ifelse majority? = true
+ [set zscore ((utility - prop8-majority-mean) / prop8-majority-stdev)]
+ [set zscore ((utility - prop8-minority-mean) / prop8-minority-stdev)]
+ ]
+ )
+ set zscore (abs zscore)
+
+ let uncorrelated-perceived-pivotality (random-normal 0.5 0.1)
+ ifelse utility-pmp-correlation > 0
+ [set perceived-pivotality (uncorrelated-perceived-pivotality * (1 - utility-pmp-correlation)) + (((zscore * 0.1) + 0.5) * utility-pmp-correlation)] ;passionate voters are optimistic
+ [set perceived-pivotality (uncorrelated-perceived-pivotality * (1 + utility-pmp-correlation)) + (((zscore * -0.1) + 0.5) * -1 * utility-pmp-correlation)] ; passionate voters are cynical
+ set perceived-pivotality max (list 0 min (list 1 perceived-pivotality))
+ ]
+end
to-report voice-credits-spent [active-referendum] ; voter function
let spent-voice-credits ifelse-value limit-votes? [
@@ -418,7 +471,7 @@ number-of-voters
number-of-voters
1
10001
-2041.0
+1001.0
10
1
NIL
@@ -566,7 +619,7 @@ majority-utility-stdev
majority-utility-stdev
0
10
-2.0
+5.0
0.5
1
NIL
@@ -581,7 +634,7 @@ variance-of-pmp
variance-of-pmp
0
0.083
-0.083
+0.01
.001
1
NIL
@@ -665,7 +718,7 @@ minority-mean-utility
minority-mean-utility
-10
10
-10.0
+6.1
1
1
NIL
@@ -734,12 +787,12 @@ utilities-median
CHOOSER
5
180
-167
+171
225
calibration
calibration
"manual" "1. prop8-mean>0" "2. prop8-mean=0"
-0
+2
TEXTBOX
177
@@ -776,7 +829,7 @@ CHOOSER
behavior-under-qv
behavior-under-qv
"rational" "right-direction-random-magnitude"
-1
+0
SLIDER
0
@@ -798,9 +851,9 @@ PLOT
453
1024
603
-plot 1
-NIL
-NIL
+Distribution
+utility
+votes cast
0.0
10.0
0.0
@@ -811,6 +864,32 @@ false
PENS
"default" 1.0 2 -16777216 true "" "ask voters [plotxy utility votes-cast]"
+SLIDER
+314
+474
+494
+507
+utility-pmp-correlation
+utility-pmp-correlation
+-1
+1
+1.0
+.01
+1
+NIL
+HORIZONTAL
+
+MONITOR
+1138
+315
+1247
+360
+mean payoff sum
+mean payoff-sign-list
+17
+1
+11
+
@#$#@#$#@
## WHAT IS IT?
@@ -1545,6 +1624,231 @@ vote
+
+ setup
+ reset
+vote
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+ mean payoff-sign-list
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@#$#@#$#@
@#$#@#$#@
diff --git a/data-analysis/analysis-for-css2020/.ipynb_checkpoints/Jacob - QV vs 1p1v (on single referendum)-checkpoint.ipynb b/data-analysis/analysis-for-css2020/.ipynb_checkpoints/Jacob - QV vs 1p1v (on single referendum)-checkpoint.ipynb
new file mode 100644
index 0000000..6d5efc0
--- /dev/null
+++ b/data-analysis/analysis-for-css2020/.ipynb_checkpoints/Jacob - QV vs 1p1v (on single referendum)-checkpoint.ipynb
@@ -0,0 +1,3152 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import pandas as pd\n",
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "import seaborn as sns\n",
+ "\n",
+ "\n",
+ "import matplotlib \n",
+ "font = {'size' : 12}\n",
+ "matplotlib.rc('font', **font)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Wellfare Loss - Single Normal Distribution $\\mu=0$ "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## The data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 41,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "
\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " [run number] \n",
+ " number-of-voters \n",
+ " minority-fraction \n",
+ " majority-mean-utility \n",
+ " majority-utility-stdev \n",
+ " minority-mean-utility \n",
+ " minority-utility-stdev \n",
+ " marginal-pivotality \n",
+ " variance-of-pp \n",
+ " limit-votes? \n",
+ " ... \n",
+ " voting-mechanism \n",
+ " [step] \n",
+ " mean payoff-sign-list \n",
+ " mean payoff-list \n",
+ " standard-deviation payoff-list \n",
+ " mean vote-sum-list \n",
+ " standard-deviation vote-sum-list \n",
+ " mean mean-median-same-sign-list \n",
+ " wellfare-loss \n",
+ " color \n",
+ " \n",
+ " \n",
+ " \n",
+ " \n",
+ " 0 \n",
+ " 2 \n",
+ " 10 \n",
+ " 0 \n",
+ " 0 \n",
+ " 3 \n",
+ " 10 \n",
+ " 1 \n",
+ " 0.5 \n",
+ " 0.0003 \n",
+ " False \n",
+ " ... \n",
+ " QV \n",
+ " 1000 \n",
+ " 0.985 \n",
+ " 7.511402 \n",
+ " 5.709273 \n",
+ " -0.016389 \n",
+ " 4.718080 \n",
+ " 0.824 \n",
+ " 0.015 \n",
+ " blue \n",
+ " \n",
+ " \n",
+ " 1 \n",
+ " 1 \n",
+ " 10 \n",
+ " 0 \n",
+ " 0 \n",
+ " 3 \n",
+ " 10 \n",
+ " 1 \n",
+ " 0.5 \n",
+ " 0.0003 \n",
+ " False \n",
+ " ... \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.780 \n",
+ " 5.425746 \n",
+ " 7.052433 \n",
+ " 0.006000 \n",
+ " 3.086339 \n",
+ " 0.823 \n",
+ " 0.220 \n",
+ " blue \n",
+ " \n",
+ " \n",
+ " 2 \n",
+ " 3 \n",
+ " 10 \n",
+ " 0 \n",
+ " 0 \n",
+ " 3 \n",
+ " 10 \n",
+ " 1 \n",
+ " 0.5 \n",
+ " 0.0010 \n",
+ " False \n",
+ " ... \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.763 \n",
+ " 5.339738 \n",
+ " 7.693429 \n",
+ " -0.214000 \n",
+ " 3.167371 \n",
+ " 0.800 \n",
+ " 0.237 \n",
+ " blue \n",
+ " \n",
+ " \n",
+ " 3 \n",
+ " 5 \n",
+ " 10 \n",
+ " 0 \n",
+ " 0 \n",
+ " 3 \n",
+ " 10 \n",
+ " 1 \n",
+ " 0.5 \n",
+ " 0.0100 \n",
+ " False \n",
+ " ... \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.799 \n",
+ " 6.065235 \n",
+ " 7.439300 \n",
+ " -0.032000 \n",
+ " 3.227599 \n",
+ " 0.828 \n",
+ " 0.201 \n",
+ " blue \n",
+ " \n",
+ " \n",
+ " 4 \n",
+ " 4 \n",
+ " 10 \n",
+ " 0 \n",
+ " 0 \n",
+ " 3 \n",
+ " 10 \n",
+ " 1 \n",
+ " 0.5 \n",
+ " 0.0010 \n",
+ " False \n",
+ " ... \n",
+ " QV \n",
+ " 1000 \n",
+ " 0.976 \n",
+ " 7.424793 \n",
+ " 5.644016 \n",
+ " 0.241649 \n",
+ " 4.678708 \n",
+ " 0.819 \n",
+ " 0.024 \n",
+ " blue \n",
+ " \n",
+ " \n",
+ "
\n",
+ "
5 rows × 21 columns
\n",
+ "
"
+ ],
+ "text/plain": [
+ " [run number] number-of-voters minority-fraction majority-mean-utility \\\n",
+ "0 2 10 0 0 \n",
+ "1 1 10 0 0 \n",
+ "2 3 10 0 0 \n",
+ "3 5 10 0 0 \n",
+ "4 4 10 0 0 \n",
+ "\n",
+ " majority-utility-stdev minority-mean-utility minority-utility-stdev \\\n",
+ "0 3 10 1 \n",
+ "1 3 10 1 \n",
+ "2 3 10 1 \n",
+ "3 3 10 1 \n",
+ "4 3 10 1 \n",
+ "\n",
+ " marginal-pivotality variance-of-pp limit-votes? ... voting-mechanism \\\n",
+ "0 0.5 0.0003 False ... QV \n",
+ "1 0.5 0.0003 False ... 1p1v \n",
+ "2 0.5 0.0010 False ... 1p1v \n",
+ "3 0.5 0.0100 False ... 1p1v \n",
+ "4 0.5 0.0010 False ... QV \n",
+ "\n",
+ " [step] mean payoff-sign-list mean payoff-list \\\n",
+ "0 1000 0.985 7.511402 \n",
+ "1 1000 0.780 5.425746 \n",
+ "2 1000 0.763 5.339738 \n",
+ "3 1000 0.799 6.065235 \n",
+ "4 1000 0.976 7.424793 \n",
+ "\n",
+ " standard-deviation payoff-list mean vote-sum-list \\\n",
+ "0 5.709273 -0.016389 \n",
+ "1 7.052433 0.006000 \n",
+ "2 7.693429 -0.214000 \n",
+ "3 7.439300 -0.032000 \n",
+ "4 5.644016 0.241649 \n",
+ "\n",
+ " standard-deviation vote-sum-list mean mean-median-same-sign-list \\\n",
+ "0 4.718080 0.824 \n",
+ "1 3.086339 0.823 \n",
+ "2 3.167371 0.800 \n",
+ "3 3.227599 0.828 \n",
+ "4 4.678708 0.819 \n",
+ "\n",
+ " wellfare-loss color \n",
+ "0 0.015 blue \n",
+ "1 0.220 blue \n",
+ "2 0.237 blue \n",
+ "3 0.201 blue \n",
+ "4 0.024 blue \n",
+ "\n",
+ "[5 rows x 21 columns]"
+ ]
+ },
+ "execution_count": 41,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df = pd.read_csv('2020.01.31 - QVoting-NormalizedPivotality 1p1v-vs-QV-mean=0-agg.csv')\n",
+ "\n",
+ "def color(x):\n",
+ " if x == 3:\n",
+ " return 'blue'\n",
+ " else:\n",
+ " return 'orange'\n",
+ "\n",
+ "df['wellfare-loss'] = 1 - df['mean payoff-sign-list']\n",
+ "df['color'] = df['majority-utility-stdev'].apply(color)\n",
+ "df.rename(columns={'variance-of-perceived-pivotality': 'variance-of-pp'}, inplace=True)\n",
+ "df[0:5]"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Wellfare loss of 1p1v vs number of voters"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "mean wellfare loss: 0.2083770833333333\n"
+ ]
+ }
+ ],
+ "source": [
+ "adf = df[(df['voting-mechanism'] == \"1p1v\")].groupby(['number-of-voters', 'majority-utility-stdev']).aggregate('mean').reset_index()\n",
+ "adf['utility-stdev'] = adf['majority-utility-stdev'].apply(lambda n: '=' + str(n))\n",
+ "\n",
+ "ax = sns.scatterplot(x=\"number-of-voters\", \n",
+ " y=\"wellfare-loss\", \n",
+ " hue='utility-stdev',\n",
+ " data = adf)\n",
+ "ax.set(xscale=\"log\", \n",
+ " ylim= (0, 0.25),\n",
+ " xlabel = \"number-of-voters (log scale)\")\n",
+ "\n",
+ "plt.plot([0, adf['number-of-voters'].max()], [adf['wellfare-loss'].mean()] * 2, 'k--', linewidth=1)\n",
+ "plt.title(\"1p1v wellfare loss vs n-voters, $\\mu=0$\")\n",
+ "plt.show()\n",
+ "print(\"mean wellfare loss: {}\".format(adf['wellfare-loss'].mean()))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "## Wellfare loss of QV vs N Voters"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "### Wellfare loss vs number of voters for several marginal pivotalities"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 84,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "pdf = df[(df['voting-mechanism'] == 'QV') & (df['variance-of-pp'].isin([0, 0.01, 0.04, 0.083]))]\n",
+ "\n",
+ "ax2 = sns.lmplot(x=\"number-of-voters\", \n",
+ " y=\"wellfare-loss\", \n",
+ " hue='variance-of-pp',\n",
+ " data = pdf)\n",
+ "\n",
+ "ax2.set(xscale=\"log\", \n",
+ " ylim= (0, 0.25),\n",
+ " xlabel = \"number-of-voters (log scale)\")\n",
+ "\n",
+ "plt.title('QV wellfare loss vs n voters, $\\mu=0$')\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "### Wellfare loss vs number of voters for each marginal pivotality"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 129,
+ "metadata": {
+ "hidden": true,
+ "scrolled": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# adf = df[(df['voting-mechanism'] == \"QV\")].groupby(['number-of-voters', 'majority-utility-stdev', 'variance-of-perceived-pivotality']).aggregate('mean').reset_index()\n",
+ "for pmp in sorted(df['variance-of-perceived-pivotality'].unique()):\n",
+ " pdf = df[(df['voting-mechanism'] == 'QV') & (df['variance-of-perceived-pivotality']==pmp)]\n",
+ " plt.scatter(pdf['number-of-voters'], pdf['wellfare-loss'])\n",
+ " plt.xscale('log')\n",
+ " plt.xlabel('number of voters')\n",
+ " plt.ylabel('wellfare loss')\n",
+ " plt.title(\"QV wellfare loss vs n voters, pmp={}\".format(pmp))\n",
+ " plt.ylim(0, 0.2)\n",
+ " plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Wellfare loss of QV vs Variance of Percieved Pivotality"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Wellfare loss vs variance-of-pp for mean of all populations sizes together (plot for the figure)\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 45,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Data for QV right direction, random magnitude \n",
+ "df9 = pd.read_csv('2020.07.10 QV-right-direction-random-magnitude-normal-dist.csv')\n",
+ "df9['wellfare-loss'] = 1 - df9['mean payoff-sign-list']\n",
+ "qv_rdrm = df9['wellfare-loss'].mean()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 58,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": "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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "1p1v wl: 0.208377083333333\n",
+ "QV_rdwm: 0.27814285714285714\n"
+ ]
+ }
+ ],
+ "source": [
+ "adf = df[(df['voting-mechanism'] == \"QV\")].groupby('variance-of-pp').aggregate('mean').reset_index()\n",
+ "\n",
+ "\n",
+ "fig, ax = plt.subplots(figsize=(4, 3))\n",
+ "sns.scatterplot(x='variance-of-pp',\n",
+ " y='wellfare-loss',\n",
+ " ax = ax,\n",
+ " data=adf)\n",
+ "ax.set(xlim=(0, 0.083), ylim=(0,.3))\n",
+ "ax.set_xlabel('Variance of Perceived Pivotality', fontsize=12)\n",
+ "ax.set_ylabel('normal dist. WL', fontsize=12)\n",
+ "ax.tick_params(labelsize=10)\n",
+ "\n",
+ "wl_1p1v = df[(df['voting-mechanism'] == \"1p1v\")]['wellfare-loss'].mean()\n",
+ "plt.plot([0, 0.083], [wl_1p1v]*2, 'k--', linewidth=1)\n",
+ "\n",
+ "plt.plot([0, 0.083], [qv_rdrm]*2, 'C0--', linewidth=1)\n",
+ "\n",
+ "plt.savefig('figures/sQV_WL_vs_pmp_variance_𝜇=0_2.png', bbox_inches='tight', dpi=300)\n",
+ "plt.show()\n",
+ "\n",
+ "print(\"1p1v wl: {}\".format(wl_1p1v))\n",
+ "print(\"QV_rdwm: {}\".format(qv_rdrm))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "### Wellfare loss vs variance-of-pp for each n_voters"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 69,
+ "metadata": {
+ "hidden": true,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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wRVRtvrKoEndjYdYxjzy5pqXxo52vLKqkWTcWZjakJk0Y19L4KpqzuJe9zr+J6af/gL3Ov4k5i3vbti0niypxNxZmHXPaQdsxbuyYfuPGjR3DaQdtN0wRtaavzaX3yTUEL7W5tCthOFlUibuxMOuYmbtO5rzDd2LyhHEImDxhHOcdvlPXNG53us3FbRZVst/Z/dsswN1YmLXRzF0nd01yqNXpNhdfWVSJu7Ews5I63ebiK4uqcTcWZlbCaQdt1+85EWhvm4uThZlZF+qrPuvUE+iuhjIzs0K+sjAz60Kd7q7EVxZmZl2o07fOOlmYmXWhTt8662ooM+sYdwlerGwZTZowjt46iaFdt876ysLMOqLT3VN0o1bKqNPdlThZmFlHuEvwYq2UUae7K3E1lJl1hLsEL9ZqGXWyu5K2XllIOljSvZKWSzq9zvS3SbpD0jpJR9RMWy/pzvSZ2844zaz9RkKX4O1W5TJqW7KQNAb4CnAIsD1wlKTta2Z7GDgO+E6dVayJiF3S59B2xWlmndHtXYJ3QpXLqJ3VULsDyyPiAQBJVwCHAXf3zRARK9K0F9oYh5lVQKe7p+hGVS6jdiaLycDK3PdVwB4tLL+JpIXAOuD8iJhTO4OkE4ETAaZOnTqIUM2sE7q5S/BOqWoZVbmB+3UR0StpG+AmSXdFxP35GSJiNjAboKenJ4YjSDOzoVTVZ1Ha2cDdC0zJfd86jSslInrTvw8AtwC7DmVwZmZVU+VnUdqZLBYAMyRNl7QRcCRQ6q4mSVtI2jgNbwXsRa6tw8xsJKrysyhtSxYRsQ44CZgH3ANcFRHLJM2SdCiApDdJWgW8F/iapGVp8TcCCyUtAW4ma7NwsjCzEa3Kz6K0tc0iIn4I/LBm3Nm54QVk1VO1y/0C2KmdsZmZVU2n+3tqReGVhaTPS3qlpLGS5ktaLemYTgRnZjaadPtzFgdGxCclvRtYARwO/BS4vJ2BmXWTqt7BYt2l25+z6Jvnb4GrI+IpSW0Myay7dPqNZTZ0qpjkq/qcRZkG7usl/RbYDZgvaSLw5/aGZdY9qnwHizVW5dtUq6gwWUTE6cBbgJ6IWAs8Q9Zth5lR3TtY5izuZa/zb2L66T9gr/Nv8o9gDSf51pRp4H4vsDYi1ks6i6ytYlLbIzPrElXsKdRnzcWqmuSrqkw11L9ExJ8kvRXYH/gG8F/tDcuse1TxDhafNRerYpKvsjLJou+I+1tgdkT8ANiofSGZdZdOv7GsDJ81F6tikq+yMndD9Ur6GnAA8LnUDYdfx2qWU7U7WKr8cFdVVPk21SoqkyzeBxwMfCEinpT0WuC09oZlZoNx2kHb9budF3zWXE/VknyVFSaLiHhW0v3AQZIOAm6LiB+3PzQzG6iqnjVX8bkGK6cwWUg6BTgBuDaNulzS7Ij4j7ZGZmaDUrWzZj+82N3KtD18BNgjIs5OnQDuSZY8zMxK8x1a3a1MshAv3RFFGnZ/H2bWEt+h1d3KNHBfCtwu6fvp+0yyZy3MzErzHVrdrUx3H18EjgceT5/jI+JL7Q7MzEYWP9fQ3RpeWUjaMvd1Rfq8OC0iHm9fWGbdxXf5FKvqHVpWTrNqqEVA8FL7RKR/lYa3aWNcZl3Dd/mUV7U7tKy8hskiIqZ3MhCzbtXsLp/h/GH01Y4Npba+g9tsNKjiXT6+2rGh5j6ezAapir2X+pkGG2pOFmaDVMW7fKp4tWPdrVSykPRWScen4YmS3J5hllSxi/IqXu1YdyvTN9SngR5gO7IH9MaSvS1vr/aGZtY9qnaXj3udtaFWpoH73cCuwB0AEfGIpM3bGpWZDYqfabChViZZPB8RISkAJG3a5pjMbAhU7WrHuluZNour0pvyJkg6AfgJ8N/tDcvMzKqkzMuPviDpAOD/yNotzo6IG9semVkTfuDMrLOaJgtJY4CfRMS+gBOEVYIfODPrvKbVUBGxHnhB0vgOxWNWyA+cmXVemQbup4G7JN0IPNM3MiJObltUZk34gTOzziuTLK7lpfdvmw07v0THrPPKNHBf1olAzMryA2dmnVfmCe4ZwHnA9sAmfeMjwu+zsGHhB87MOq/sO7g/DVwI7Ev2ilV3QGjDyg+cmXVWmR/9cRExH1BEPBQR5wB/W2blkg6WdK+k5ZJOrzP9bZLukLRO0hE1046V9Lv0ObbM9szMrD3KXFk8J2kD4HeSTgJ6gc2KFkrPaHwFOABYBSyQNDci7s7N9jBwHHBqzbJbkl3N9JC9wnVRWvaJEvGamdkQK3NlcQrwCuBkYDfgGKDMmf7uwPKIeCAingeuAA7LzxARKyJiKfBCzbIHATdGxOMpQdwIHFxim2Zm1gYNk4Wkb6XBt0TE0xGxKiKOj4j3RMSvSqx7MrAy931VGldGqWUlnShpoaSFq1evLrlqMzNrVbMri90kTQI+LGkLSVvmP50KsJmImB0RPRHRM3HixOEOx8xsxGrWZnExMB/YBlgEKDct0vhmeoEpue9bp3Fl9AL71Cx7S8llbRRwR4JmndXwyiIivhwRbwQuiYhtImJ67lPmGYsFwAxJ0yVtBBwJzC0Z1zzgwHRFswVwYBpn9mJHgr1PriF4qSPBOYvLnouYWauatVn0VTedWVsFVaYaKiLWASeR/cjfA1wVEcskzZJ0aNrGmyStAt4LfE3SsrTs48BnyRLOAmBWGmfmjgTNhkGzaqhFZNVN0L8KCspVQxERPwR+WDPu7NzwArIqpnrLXgJcUrQNG33ckaBZ5zVMFhExvZOBmJXljgTNOq9hspD0180WjIg7hj4cs2LuSNCs85pVQ/17k2kBvH2IYzErxR0JmnVes2qofTsZiFkr3JGgWWcVdvch6RWSzpI0O32fIemd7Q/NzMyqokzfUJcCzwNvSd97gXPbFpGZmVVOmV5nt42I90s6CiAinpVUeyutjWB+WtrMyiSL5yWNIz1zIWlb4Lm2RmWV0fe0dN+dR31PSwNOGGajSJlqqHOAHwFTJH2brL+oT7YzKKsOPy1tZlDiyiIifixpEbAn2ZPcp0TEH9semVWCn5Y2Myh3N9TlwOHA/RFxvRPF6NLoqWg/LW02upSphvoG8FrgPyQ9IOl7kk5pc1xWEacdtB3jxo7pN85PS5uNPmWqoW6W9FPgTcC+wEeBHYCL2hybVYCfljYzKJEsJM0HNgV+CdwGvCkiHm13YFYdflrazMpUQy0leyhvR2BnYMd0K62ZmY0SZaqhPgEgaXPgOLInuv8C2LitkVll+KE8MytTDXUSsDewG7CC7IVEt7U3rNGraj/MfijPzKDcE9ybAF8EFqVXpVqbVPGHudlDeU4WZqNHYZtFRHwhIm53omi/Kj4t7YfyzAzKNXBbh1Txh9kP5ZkZOFlUShV/mP1QnpmBk0WlVPGHeeaukznv8J2YPGEcAiZPGMd5h+/k9gqzUaZMA7d1SFWflvZDeWbmZFEx/mE2sypyNZSZmRVysjAzs0JOFmZmVsjJwszMCrmBu2Kq1jeUmRk4WVRKFfuGMjMDV0NVShX7hjIzAyeLSqli31BmZuBkUSlV7BvKzAycLCqlin1DmZmBG7grpap9Q5mZOVlUjPuGMrMqams1lKSDJd0rabmk0+tM31jSlWn67ZKmpfHTJK2RdGf6XNzOOM3MrLm2XVlIGgN8BTgAWAUskDQ3Iu7OzfYR4ImIeL2kI4HPAe9P0+6PiF3aFZ+ZmZXXziuL3YHlEfFARDwPXAEcVjPPYcBlafgaYD9JamNMZmY2AO1MFpOBlbnvq9K4uvNExDrgKeBVadp0SYsl3Spp73obkHSipIWSFq5evXpoozczsxdV9dbZ3wNTI2JX4J+A70h6Ze1METE7InoiomfixIkdD9LMbLRoZ7LoBabkvm+dxtWdR9KGwHjgsYh4LiIeA4iIRcD9wBvaGKuZmTXRzmSxAJghabqkjYAjgbk188wFjk3DRwA3RURImpgayJG0DTADeKCNsZqZWRNtuxsqItZJOgmYB4wBLomIZZJmAQsjYi7wDeBbkpYDj5MlFIC3AbMkrQVeAD4aEY+3K1YzM2tOETHcMQyJnp6eWLhw4XCHYWbWVSQtioieovmq2sBtZmYV4mRhZmaFnCzMzKyQk4WZmRVysjAzs0JOFmZmVsjJwszMCjlZmJlZIScLMzMr5GRhZmaFnCzMzKyQk4WZmRVysjAzs0JOFmZmVsjJwszMCjlZmJlZIScLMzMr5GRhZmaF2vYO7m40Z3EvF8y7l0eeXMOkCeM47aDtmLnr5OEOy8xs2DlZJHMW93LaNUtYuz57J3nvk2s47ZolAE4YZjbquRoq+cx1y15MFH3Wrg8+c92yYYrIzKw6nCySJ55d29J4M7PRxMnCzMwKOVkkE8aNbWm8mdlo4mSRnHPoDozdQP3Gjd1AnHPoDsMUkZlZdfhuqKTvjiffOmtm9nJOFsBZc+7iu7evZH0EYyQ+sOdUzp2503CHZWZWGaM+WZw15y4u/9XDL35fH/HidycMM7PMqG+z+O7tK1sab2Y2Go36ZLE+oqXxZmaj0ahPFmOklsabmY1Goz5ZHLXHlJbGm5mNRqO+gbuvETt/N9RRe0xx47aZWY5ihNTN9/T0xMKFC4c7DDOzriJpUUT0FM036quhzMysmJOFmZkVamubhaSDgYuAMcDXI+L8mukbA/8D7AY8Brw/IlakaWcAHwHWAydHxLx2xFj79LbbK8zMXq5tVxaSxgBfAQ4BtgeOkrR9zWwfAZ6IiNcDFwKfS8tuDxwJ7AAcDHw1rW9I9T293fdMRd/T22fNuWuoN2Vm1tXaWQ21O7A8Ih6IiOeBK4DDauY5DLgsDV8D7CdJafwVEfFcRDwILE/rG1J+etvMrJx2JovJQP5Xd1UaV3eeiFgHPAW8quSySDpR0kJJC1evXt1ygH5628ysnK5u4I6I2RHRExE9EydObHl5P71tZlZOO5NFL5B/DHrrNK7uPJI2BMaTNXSXWXbQ/PS2mVk57UwWC4AZkqZL2oiswXpuzTxzgWPT8BHATZE9JTgXOFLSxpKmAzOAXw91gOfO3Ilj9pz64pXEGIlj/C4LM7OXadutsxGxTtJJwDyyW2cviYhlkmYBCyNiLvAN4FuSlgOPkyUU0nxXAXcD64CPRcT6dsR57sydnBzMzAq4uw8zs1HM3X2YmdmQcbIwM7NCThZmZlbIycLMzAqNmAZuSauBhwaxiq2APw5ROCOVy6iYy6gcl1OxTpXR6yKi8KnmEZMsBkvSwjJ3BIxmLqNiLqNyXE7FqlZGroYyM7NCThZmZlbIyeIls4c7gC7gMirmMirH5VSsUmXkNgszMyvkKwszMyvkZGFmZoVGfLKQdLCkeyUtl3R6nekbS7oyTb9d0rTctDPS+HslHdTJuDttoOUk6QBJiyTdlf59e6dj75TBHEtp+lRJT0s6tVMxd9og/952lvRLScvS8bRJJ2PvpEH8vY2VdFkqn3skndGxoCNixH7Iuka/H9gG2AhYAmxfM88/ABen4SOBK9Pw9mn+jYHpaT1jhnufKlhOuwKT0vCOQO9w70/Vyig3/RrgauDU4d6fqpUR2esSlgJ/lb6/yn9vdcvpaOCKNPwKYAUwrRNxj/Qri92B5RHxQEQ8D1wBHFYzz2HAZWn4GmA/SUrjr4iI5yLiQWB5Wt9INOByiojFEfFIGr8MGCdp445E3VmDOZaQNBN4kKyMRqrBlNGBwNKIWAIQEY9Fm95hUwGDKacANk1vFh0HPA/8XyeCHunJYjKwMvd9VRpXd56IWAc8RXZWU2bZkWIw5ZT3HuCOiHiuTXEOpwGXkaTNgE8Bn+lAnMNpMMfRG4CQNE/SHZI+2YF4h8tgyuka4Bng98DDwBci4vF2BwxtfFOejS6SdgA+R3aGaP2dA1wYEU+nCw17uQ2BtwJvAp4F5qeX8swf3rAqZ3dgPTAJ2AK4TdJPIuKBdm94pF9Z9AJTct+3TuPqzpMu7cYDj5VcdqQYTDkhaWvg+8CHIuL+tkc7PAZTRnsAn5e0Avg48M/plcMjzWDKaBXw04j4Y0Q8C/wQ+Ou2Rzw8BlNORwM/ioi1EfEo8HOgI/1HjfRksQCYIWm6pI3IGorm1swzFzg2DR8B3BRZ69Fc4Mh0V8J0YAbw6w73iW0PAAAGkUlEQVTF3WkDLidJE4AfAKdHxM87FnHnDbiMImLviJgWEdOALwH/FhH/2anAO2gwf2/zgJ0kvSL9OP4NcHeH4u60wZTTw8DbASRtCuwJ/LYjUQ/3nQHt/gDvAO4ju/vgzDRuFnBoGt6E7A6V5WTJYJvcsmem5e4FDhnufaliOQFnkdWh3pn7vHq496dKZVSzjnMYoXdDDbaMgGPIbgD4DfD54d6XKpYTsFkav4wsmZ7WqZjd3YeZmRUa6dVQZmY2BJwszMyskJOFmZkVcrIwM7NCThZmZlbIycI6StIP07MZlSBp79TL6Z2SxnVom79o8/rPaaVnW0k9kr48wG3NlLR9KzFJmiVp/zT8cUmvGMi2rbOcLKwjlNkgIt4REU8Odzw5HwDOi4hdImLNUK00PVhWV0S8Zai2MxQiYmFEnDzAxWeS9dDcyvbOjoifpK8fJ+s91SrOycJKk3S+pI/lvp8j6VRJm0manzqAu0vSYWn6tNRn//+QPWg1RdIKSVul6XOUvQNjmaQTc+t9WtK/Sloi6VeSXpPGv0bS99P4JZLeksYfI+nX6erga5LG1Il9P0mLU3yXpCfz/w54H/BZSd+umX+apN9K+nZ6b8A1fWfAknaTdGuKfZ6k16bxt0j6kqSFwClN4n06t53TJC2QtFTSZ5qVc6P50/gzJd0n6WfAdg3+/74p6WJJC9O870zj95F0vaQN0v/PhNwyv0v7MU3STWm785W9m+MtwKHABanst5V0QopviaTv1btqSHEcIelksj6ObpZ0s6QPS/pSbr4TJF1Yb19sGAz3k4z+dM+H7N0Vt+a+303Wf82GwCvTuK3InjoVMA14Adgzt8wKYKs0vGX6dxxZMnlV+h7Au9Lw54Gz0vCVwMfT8Biy/nLeCFwHjE3jv0rWR1U+7k3IevB8Q/r+P7n1fBM4os6+Tktx7JW+XwKcCowFfgFMTOPfD1yShm8Bvppbx8viTcNPp38PBGanstoAuB54W5NybjT/bsBdZGfor0zl/7KnxNO+/igtO4OsP6ZNgH2A69M8FwHHp+E9gJ+k4euAY9Pwh4E59cqv7/8wDZ8L/GMaPqcvpvwy9D8eNiN7ornv//IXwE7Dfdz7k33c66yVFhGLJb1a0iRgIvBERKyUNBb4N0lvI0sOk4HXpMUeiohfNVjlyZLenYankP2APUbWR//1afwi4IA0/HbgQymW9cBTkj5I9mO5QFmPruOAR2u2sx3wYETcl75fBnyMrJ+mZlbGS/1dXQ6cTPZjuyNwY9reGLLuovtcmRt+Wbw16z8wfRan75sBMyLiGw3K+ZR68wObA9+PrAM+JNX2M5R3VUS8APxO0gPAX9ZMvxI4G7iU9NKdNP7NwOFp+FtkSbyeHSWdC0xI8c1rEks/kfXKexPwTkn3kCWNu8oub+3lZGGtupqsY7O/4KUfkg+Q/ajtFhFrlfWu2vdKzGfqrUTSPsD+wJsj4llJt+SWWRvp1JKsO+Zmx6mAyyKiHa+XrO0LJ9L2lkXEmxssU3d/GxBZe8nX6kyrV85155f08Ra2WW+f8n4JvF7SRLL2iHNbWDdkVw0zI2KJpOPIrlpa8XXgn8k6x7u0xWWtjdxmYa26kuyM8wiyHzTIqoMeTYliX+B1JdYznuyM+VlJf0nWe2aR+cDfA0gaI2l8GneEpFen8VtKqt3+vcA0Sa9P3z8I3Fpie1Ml9SWFo4GfpXVN7Buv7J3IO7QQb9484MPKXo6EpMl9+0H9cm40/0+BmZLGSdoceFeTfXpvapvYluy1nvfmJ6Yk/X3gi8A9EfFYmvSLFA9kJwe3peE/kV3Z9Nkc+H262vxAkzj69Fs+Im4nu8o8GvhuieWtQ5wsrCURsYzsj7s3IvqqX74N9Ei6i6zapUyXyT8CNkzVDecDjaqq8k4B9k3bWUT23uK7yXq+/bGkpcCNwGtrYv4zcDxwdVr2BeDiEtu7F/hYinEL4L8iew3mEcDnJC0h62W30d1NL4u3Jq4fA98BfpnmuYb0w1mvnBvNHxF3kCWXJcANZF1gN/IwWS+mNwAfTWVT60qyHmDzVWr/CByfyviDad8geyXoacpuHtgW+BfgdrL3LJQ5DmYDP5J0c27cVcDPI+KJEstbh7jXWbM6JE0ja/TdcZhDGTKSvkm2T9cMdyzNSLqe7M2CfktehfjKwswqQdIESfcBa5woqsdXFmZmVshXFmZmVsjJwszMCjlZmJlZIScLMzMr5GRhZmaF/j+1CHie33vBgAAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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FW501M+thRVud7e1qqGp+xsHMrKberoaq5ObKzczq8pnFMD/jYGZWl5PFMD/jYGPhKkyb4JwshvkZBxstN9NiPcDJYpifcbDRchWm9QAni2ElfEDHuoSrMK0H+G6oSiV7QMe6RAnbGLLesGjZULEH+MaBzyzMxspVmNYBTTVnPg6cLMzGylWY1gFNNWc+DlwNZTYeXIVpbdZUc+bjwGcWZmZdqKnmzMeBk4WZWRdqqjnzceBqKDOzLtRUc+bjwMnCzKxEmrkd9oh9prUsOVRzsjAzK4nh22GH73Iavh0WaFtSqMfXLMzMSqLdt8M2w8nCzKwk2n07bDOcLMzMSqLdt8M2w8nCzKwk2n07bDN8gdvMrCTafTtsM5wszMxKpJ23wzbD1VBmZpbLycLMzHI5WZiZWS4nCzMzy+VkYWZmuXw3lJn1rHa+w7rbOVmYWU8qc6N9ZeRqKDPrSWVutK+MnCzMrCeVudG+MmppspB0iKRVklZLOrVG/9dJ+qWkTZKOquq3WdKt6bO4lXGaWe8pc6N9ZdSyZCGpD7gAOBTYE3i7pD2rBrsHeCdwaY1JbIiIl6bP4a2K08x6U5kb7SujVl7g3hdYHRF3AUi6DJgP3D48QESsSf2ebGEcZmbPUOZG+8qolcliGnBvxfe1wH5NjL+NpEFgE3B2RCyqHkDSicCJADNmzBhDqGbWi8raaF8ZlfkC964RMQAcC3xe0u7VA0TEhRExEBEDU6ZMaX+EZmY9opVnFkPA9Irvu6SyQiJiKP29S9L1wD7AneMZoNlEVsYHzsoYkxXTymRxC7CHpFlkSeIYsrOEXJJ2AB6LiMcl7QTsD5zbskjNJpgyPnBW1pi6OXm1M/7caihJ50p6jqRJkq6RtE7ScXnjRcQm4CRgCXAHcEVErJR0hqTD07RfIWkt8Fbgy5JWptFfDAxKWg5cR3bN4vZnzsXMainjA2dli2k4eQ2t30DwdPJatKxwBUhHtTv+Itcs3hgRfwLeDKwBXgAsKDLxiPh+RLwwInaPiE+nstMjYnHqviUidomIbSPiuRGxVyr/WUTMiYiXpL9fGc3CmfWqMj5wVraYypa8mtXu+Iski+Gqqr8BvhURD7ckEjMbN2V84GzysyY1Vd5qZUtezWp3/EWSxdWSfg28HLhG0hTgLy2JxszGRRkfOItorrzVyphQm9Hu+HOTRUScCrwaGIiIjcCjZA/XmVlJHbHPNM46cg7TJvcjYNrkfs46ck5HL94+vGFjU+WtVsaE2ox2x597N5SktwI/jIjNkj4BvAw4E/hDSyIys3FRtgfOpk7uZ6hGFUmnjuS7/QnudsevyDkHlLQiIuZKeg1ZkjgPOD0imnkau+UGBgZicHCw02GYWR3Vt85CdiTc6TOeXidpaXoAuqEi1yyGf9m/AS6MiO8BW40lODPrPWWsGrPiijyUNyTpy8AbgHMkbU25mwkxs5IqW9WYFVckWRwNHAJ8JiLWS3o+BZ+zMOsV3f4ksFme3GQREY9JuhOYJ2kecGNE/Kj1oZl1hzI2Y2E23oo09/FB4BvAzunzdUkfaHVgZt2i258ENiuiSDXUu4H9IuJRAEnnAD8H/q2VgZl1i25/EtisiCIXqsXTd0SRutWacMy6T7c/CWxWRJFkcTFws6SFkhYCNwFu2M8s6fYngc2KKHKB+7Pp5UOvSUUnRMSylkZl1kW6/UlgsyLqJgtJO1Z8XZM+T/WLiAdbF5ZZd/HzAzbRNTqzWAoET1+fGG4XRKl7txbGZWZmJVI3WUTErHYGYmZm5dXKd3Cb9Qw/wW0TnZOF2Rj5CW7rBW4Q0GyM/AS39YJCyULSaySdkLqnSPL1DLPET3BbLyjSNtQngVOA01LRJODrrQzKrJv4CW7rBUXOLN4CHE727m0i4j7g2a0MyqyblPUJ7kXLhtj/7GuZder32P/sa1m0bKij8Vh3K3KB+4mICEkBIGnbFsdk1lXK+AS3L7rbeCuSLK5Ib8qbLOk9wLuA/2htWGbdpWxPcDe66F6mOK17FGkb6jOS3gD8CZgNnB4RP255ZGY2ar7obuOtYbKQ1Af8JCIOBJwgzLrE1Mn9DNVIDL7obqPV8AJ3RGwGnpS0fZviMbNxUNaL7ta9ilyzeAS4TdKPSXdEAUTEyS2LyszGpIwX3a27FUkWV6WPmXWRsl10t+5W5AL3Je0IxMzMyis3WUjaAzgL2BPYZrg8Ivw+CzOzHlGkGupi4JPA54ADgRNwA4TWYW4S3Ky9iuz0+yPiGkARcXdELAT+prVhmdU3/HTy0PoNBE8/nezmLMxap0iyeFzSFsBvJZ0k6S3Adi2Oy6wuNwlu1n5FksUHgWcBJwMvB44Dji8ycUmHSFolabWkU2v0f52kX0raJOmoqn7HS/pt+hSan/UGP51s1n51k4Wkr6XOV0fEIxGxNiJOiIi/jYib8iacnv6+ADiU7OL42yXtWTXYPcA7gUurxt2R7DrJfsC+wCcl7VBwmWyCc5PgZu3X6Mzi5ZKmAu+StIOkHSs/Baa9L7A6Iu6KiCeAy4D5lQNExJqIWAE8WTXuPODHEfFgRDxE1tTIIYWXyiY0P51s1n6N7ob6EnANsBuwFFBFv0jljUwD7q34vpbsTKGIWuM+41YXSScCJwLMmDGj4KSt2/npZLP2q3tmERHnR8SLgYsiYreImFXxKcUzFhFxYUQMRMTAlClTOh2OmdmEVffMoqKq6eO1qp0i4sGcaQ8B0yu+75LKihgCDqga9/qC49oE5xf7mLVfo2qopWTVTTCyCgqKVUPdAuwhaRbZzv8Y4NiCcS0B/qXiovYbefod4Nbj/GIfs/armywiYtZYJhwRmySdRLbj7yOrzlop6QxgMCIWS3oF8B1gB+AwSf8cEXtFxIOSPkWWcADOKHAmYz3Ct86atV+jaqiXNRoxIn6ZN/GI+D7w/aqy0yu6byGrYqo17kXARXnzsN7jF/uYtV+jaqh/bdAvgNePcyxmhSyYN3vENQvwrbNmrdaoGurAdgZiVpRvnTVrvyJNlD8L+AgwIyJOTE2Wz46Iq1senZVCGVt49Yt9zNqrSNtQFwNPAK9O34eAM1sWkZWKW3g1MyiWLHaPiHOBjQAR8RjPvJXWJii38GpmUCxZPCGpn/TMhaTdgcdbGpWVhm9TNTMoliwWAj8Epkv6Bll7UR9rZVBWHm7h1cygQLKIiB8BR5I1Jf5NYCAirm9tWFYWbuHVzKDY3VBfB24AboyIX7c+JCsT36ZqZlCsGuorwPOBf5N0l6RvS/pgi+MyM7MSyT2ziIjrJP038ArgQOC9wF7AF1ocm5WAW3g1MyhWDXUNsC3wc+BG4BURcX+rA+tVZXsAzi28mhkUq4ZaQfZQ3t7AXGDvdCutjbMyPgDnW2fNDIrdDfXhiHgd2R1RD5A90b2+1YH1ojI+AOdbZ80MCiQLSSdJuhxYBswnazb80FYH1ovKeBTvW2fNDApcswC2AT4LLI2ITS2Op6eV8T0NvnXWzKDY3VCfaUcgVt73NLiFVzMrcmZhbeKjeDMrKyeLkvFRvJmVUZFbZ83MrMc5WZiZWS4nCzMzy+VkYWZmuZwszMwsl5OFmZnlcrIwM7NcThZmZpbLycLMzHI5WZiZWS4nCzMzy+VkYWZmuZwszMwsl5OFmZnlcrIwM7NcThZmZparpclC0iGSVklaLenUGv23lnR56n+zpJmpfKakDZJuTZ8vtTLOMlm0bIj9z76WWad+j/3PvpZFy4Y6HZKZWevelCepD7gAeAOwFrhF0uKIuL1isHcDD0XECyQdA5wDvC31uzMiXtqq+Mpo0bKhEe/gHlq/gdOuug3Ab88zs45q5ZnFvsDqiLgrIp4ALgPmVw0zH7gkdV8JHCRJLYyp1M5bsuqpRDFsw8bNnLdkVYciMjPLtDJZTAPurfi+NpXVHCYiNgEPA89N/WZJWibpBkmvrTUDSSdKGpQ0uG7duvGNvgPuW7+hqXIzs3Yp6wXu3wMzImIf4CPApZKeUz1QRFwYEQMRMTBlypS2Bznepk7ub6rczKxdWpkshoDpFd93SWU1h5G0JbA98EBEPB4RDwBExFLgTuCFLYy1FBbMm03/pL4RZf2T+lgwb3aHIjIzy7QyWdwC7CFplqStgGOAxVXDLAaOT91HAddGREiaki6QI2k3YA/grhbGWgpH7DONs46cw7TJ/QiYNrmfs46c44vbZtZxLbsbKiI2SToJWAL0ARdFxEpJZwCDEbEY+ArwNUmrgQfJEgrA64AzJG0EngTeGxEPtirWMjlin2lODmZWOoqITscwLgYGBmJwcLDTYZiZdRVJSyNiIG+4sl7gNjOzEnGyMDOzXE4WZmaWy8nCzMxyOVmYmVkuJwszM8vlZGFmZrmcLMzMLJeThZmZ5XKyMDOzXE4WZmaWy8nCzMxyOVmYmVkuJwszM8vlZGFmZrmcLMzMLJeThZmZ5XKyMDOzXE4WZmaWa8tOB1Ami5YNcd6SVdy3fgNTJ/ezYN5sjthnWqfDMjPrOCeLZNGyIU676jY2bNwMwND6DZx21W0AThhm1vNcDZWct2TVU4li2IaNmzlvyaoORWRmVh5OFsnQ+g1NlZuZ9RInC7IqqHr6pDZGYmZWTj2fLIavVdSzOaKN0ZiZlVPPJ4ta1yoqTZvc38ZozMzKqeeTxX0Nrkn0T+pjwbzZbYzGzKycej5ZTK1z5tAncdaRc3zbrJkZThYsmDebSX0jL2JP6hP/evRLnCjMzJKeTxYAVF/D9jVtM7MRej5ZnLdkFRufHJkdNj4ZfhjPzKxCzyeLehe4G134NjPrNT2fLOpd4K5XbmbWi3o+WSyYN5v+SX0jynzLrJnZSD3f6uzwHU9umtzMrL6WnllIOkTSKkmrJZ1ao//Wki5P/W+WNLOi32mpfJWkea2K8ROLbuP/XLGcofUb2ELiwBdNcaIwM6vSsmQhqQ+4ADgU2BN4u6Q9qwZ7N/BQRLwA+BxwThp3T+AYYC/gEOCLaXrj6hOLbuPrN93zVPtPmyP4+k338IlF9duKMjPrRa08s9gXWB0Rd0XEE8BlwPyqYeYDl6TuK4GDJCmVXxYRj0fE74DVaXrj6ps339tUuZlZr2plspgGVO5116aymsNExCbgYeC5BcdF0omSBiUNrlu3rukA67Uo65ZmzcxG6uq7oSLiwogYiIiBKVOmND1+vXdV+B0WZmYjtTJZDAHTK77vkspqDiNpS2B74IGC447Z2/eb3lS5mVmvamWyuAXYQ9IsSVuRXbBeXDXMYuD41H0UcG1ERCo/Jt0tNQvYA/jFeAd45hFzOO6VM546k+iTOO6VMzjziDnjPSszs67WsucsImKTpJOAJUAfcFFErJR0BjAYEYuBrwBfk7QaeJAsoZCGuwK4HdgEvD8i6r+haAzOPGKOk4OZWQ7FBLmYOzAwEIODg50Ow8ysq0haGhEDecN19QVuMzNrDycLMzPL5WRhZma5nCzMzCzXhLnALWkdcPcYJrET8MdxCmei8jrK53VUjNdTvnato10jIvep5gmTLMZK0mCROwJ6mddRPq+jYrye8pVtHbkayszMcjlZmJlZLieLp13Y6QC6gNdRPq+jYrye8pVqHfmahZmZ5fKZhZmZ5XKyMDOzXBM+WUg6RNIqSaslnVqj/9aSLk/9b5Y0s6Lfaal8laR57Yy73Ua7niS9QdJSSbelv69vd+ztMpZtKfWfIekRSR9tV8ztNsb/t7mSfi5pZdqetmln7O00hv+3SZIuSevnDkmntS3oiJiwH7Km0e8EdgO2ApYDe1YN8z7gS6n7GODy1L1nGn5rYFaaTl+nl6mE62kfYGrq3hsY6vTylG0dVfS/EvgW8NFOL0/Z1hHZ6xJWAC9J35/r/7ea6+lY4LLU/SxgDTCzHXFP9DOLfYHVEXFXRDwBXAbMrxpmPnBJ6r4SOEiSUvllEfF4RPwOWJ2mNxGNej1FxLKIuC+VrwT6JW3dlqjbayzbEpKOAH5Hto4mqrGsozcCKyJiOUBEPBAteodNCYxlPQWwbXqzaD/wBPCndgQ90ZPFNODeiu9rU1nNYSJiE/Aw2VFNkXEnirGsp0p/C/wyIh5vUZydNOp1JGk74BTgn9sQZyeNZTt6IRCSlkj6paSPtSECdCRXAAAHcUlEQVTeThnLeroSeBT4PXAP8JmIeLDVAUML35RnvUXSXsA5ZEeINtJC4HMR8Ug60bBn2hJ4DfAK4DHgmvRSnms6G1bp7AtsBqYCOwA3SvpJRNzV6hlP9DOLIWB6xfddUlnNYdKp3fbAAwXHnSjGsp6QtAvwHeAdEXFny6PtjLGso/2AcyWtAT4E/FN65fBEM5Z1tBb474j4Y0Q8BnwfeFnLI+6MsaynY4EfRsTGiLgf+CnQlvajJnqyuAXYQ9IsSVuRXShaXDXMYuD41H0UcG1kV48WA8ekuxJmAXsAv2hT3O026vUkaTLwPeDUiPhp2yJuv1Gvo4h4bUTMjIiZwOeBf4mIf29X4G00lv+3JcAcSc9KO8e/Bm5vU9ztNpb1dA/wegBJ2wKvBH7dlqg7fWdAqz/Am4DfkN198PFUdgZweOrehuwOldVkyWC3inE/nsZbBRza6WUp43oCPkFWh3prxWfnTi9PmdZR1TQWMkHvhhrrOgKOI7sB4FfAuZ1eljKuJ2C7VL6SLJkuaFfMbu7DzMxyTfRqKDMzGwdOFmZmlsvJwszMcjlZmJlZLicLMzPL5WRhbSXp++nZjFKQ9NrUyumtkvrbNM+ftXj6C5tp2VbSgKTzRzmvIyTt2UxMks6QdHDq/pCkZ41m3tZeThbWFspsERFvioj1nY6nwt8BZ0XESyNiw3hNND1YVlNEvHq85jMeImIwIk4e5ehHkLXQ3Mz8To+In6SvHyJrPdVKzsnCCpN0tqT3V3xfKOmjkraTdE1qAO42SfNT/5mpzf7/InvQarqkNZJ2Sv0XKXsHxkpJJ1ZM9xFJn5a0XNJNkp6Xyp8n6TupfLmkV6fy4yT9Ip0dfFlSX43YD5K0LMV3UXoy/x+Ao4FPSfpG1fAzJf1a0jfSewOuHD4ClvRySTek2JdIen4qv17S5yUNAh9sEO8jFfNZIOkWSSsk/XOj9Vxv+FT+cUm/kfQ/wOw6v99XJX1J0mAa9s2p/ABJV0vaIv0+kyvG+W1ajpmSrk3zvUbZuzleDRwOnJfW/e6S3pPiWy7p27XOGlIcR0k6mayNo+skXSfpXZI+XzHceyR9rtayWAd0+klGf7rnQ/buihsqvt9O1n7NlsBzUtlOZE+dCpgJPAm8smKcNcBOqXvH9LefLJk8N30P4LDUfS7widR9OfCh1N1H1l7Oi4HvApNS+RfJ2qiqjHsbshY8X5i+/1fFdL4KHFVjWWemOPZP3y8CPgpMAn4GTEnlbwMuSt3XA1+smMYz4k3dj6S/bwQuTOtqC+Bq4HUN1nO94V8O3EZ2hP6ctP6f8ZR4WtYfpnH3IGuPaRvgAODqNMwXgBNS937AT1L3d4HjU/e7gEW11t/wb5i6zwQ+kLoXDsdUOQ4jt4ftyJ5oHv4tfwbM6fR270/2cauzVlhELJO0s6SpwBTgoYi4V9Ik4F8kvY4sOUwDnpdGuzsibqozyZMlvSV1TyfbgT1A1kb/1al8KfCG1P164B0pls3Aw5L+nmxneYuyFl37gfur5jMb+F1E/CZ9vwR4P1k7TY3cG0+3d/V14GSyne3ewI/T/PrImosednlF9zPirZr+G9NnWfq+HbBHRHylznr+YK3hgWcD34msAT4kVbczVOmKiHgS+K2ku4AXVfW/HDgduJj00p1U/irgyNT9NbIkXsveks4EJqf4ljSIZYTIWuW9FnizpDvIksZtRce31nKysGZ9i6xhs7/i6R3J35Ht1F4eERuVta46/ErMR2tNRNIBwMHAqyLiMUnXV4yzMdKhJVlzzI22UwGXREQrXi9Z3RZOpPmtjIhX1Rmn5vLWIbLrJV+u0a/Weq45vKQPNTHPWstU6efACyRNIbsecWYT04bsrOGIiFgu6Z1kZy3N+E/gn8gax7u4yXGthXzNwpp1OdkR51FkOzTIqoPuT4niQGDXAtPZnuyI+TFJLyJrPTPPNcA/Akjqk7R9KjtK0s6pfEdJ1fNfBcyU9IL0/e+BGwrMb4ak4aRwLPA/aVpThsuVvRN5rybirbQEeJeylyMhadrwclB7Pdcb/r+BIyT1S3o2cFiDZXprujaxO9lrPVdV9kxJ+jvAZ4E7IuKB1OtnKR7IDg5uTN1/JjuzGfZs4PfpbPPvGsQxbMT4EXEz2VnmscA3C4xvbeJkYU2JiJVk/9xDETFc/fINYEDSbWTVLkWaTP4hsGWqbjgbqFdVVemDwIFpPkvJ3lt8O1nLtz+StAL4MfD8qpj/ApwAfCuN+yTwpQLzWwW8P8W4A/D/InsN5lHAOZKWk7WyW+/upmfEWxXXj4BLgZ+nYa4k7Thrred6w0fEL8mSy3LgB2RNYNdzD1krpj8A3pvWTbXLyVqAraxS+wBwQlrHf5+WDbJXgi5QdvPA7sD/BW4me89Cke3gQuCHkq6rKLsC+GlEPFRgfGsTtzprVoOkmWQXfffucCjjRtJXyZbpyk7H0oikq8neLOi35JWIzyzMrBQkTZb0G2CDE0X5+MzCzMxy+czCzMxyOVmYmVkuJwszM8vlZGFmZrmcLMzMLNf/BwsjxVzBm4b2AAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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1ADhU0japYvvQNG18q2JfNX5wyczoYLCIiGeBE8l+5O8EroyIpZLOlnR4Wux8YEvgKkm/lDQ/rfsI8AmygLMQODtNG9+q1g4d3MeQmQEdfoI7Ir4HfK9u2pm54YNbrHsJcEnnUldB/dvA6gYxsX/0Ww2X5hfWmHVXRd+xMbG7+7BiVXxhjdl4VeF3bDhYQC6Sr3z+pTG9ePnR6kfbm94tbu5o1h0VbqpeiaazPbVeCySer7jtRUukqnWHYGbd1W69ZReb2jtYtHq1ardbIlWxOwQz6552Lhi73NTewaKopVE3WyK5OwSzia2dC8YuN7V3ncXWO7R+GrnbRUCuHzCbuNppUNLlpvYOFo2ahta4CMjMuq3sBWOzC90OXeC6GGq9oh+e78bCRUBmVmVdruP0nQW46MfMxp4uPwPlYGFmNlZ18ULXwcLMbIyat3iI8xcs44HHVjN1cj+nzJnN3L03ePXPqHCwMDMbg+YtHuK0a5awek32IPHQY6s57ZolAB0JGK7gNjMbg85fsOy5QFGzes1azl+wrCP7c7AwMxuDHniscc8TzaaPlIOFmdkYNHVyf1vTR8rBwsxsDDplzmz6J63/euP+SX2cMmd2R/bnCm4zszGoVont1lBmZtbS3L2ndSw41HMxlJmZFXKwMDOzQi6GMjOrkG4+ld0OBwszs4ro9lPZ7XAxlJlZRXT7qex2+M7CzCasqhX5dPup7Hb4zsLMJqRakc/QY6sJni/ymbd4qGdp6vZT2e1wsDCzCamKRT6nzJnNpD6tN21Snzr2VHY7XAxlZhNSZYt8omA8p5vFaL6zMLMJqYpFPucvWMaadetHhzXrouHdTreL0RwszGxC6nZHfGW0c7fj91mYmXXB3L2nce6RezJtcj8Cpk3u59wj9+xpa6h27na6XYzmOgszm7C62RFfGafMmb3eQ3nQ/G5n6uR+hhoEBr/PwsxslM1bPMT+593ATqf+J/ufd0NPm81Ce3c7lXufhaRPAecAq4HrgL2AD0fE1zuSIjOzLqhq1xpl73aq+D6LQyPio5LeAqwAjgT+CygMFpIOAz4L9AFfiojz6ua/HvgMWQA6OiKuzs1bCyxJo/dHxOEl0mpmVkqrCuIqFU210s1itDLBorbMnwNXRcTjklotD4CkPuDzwCHAKmChpPkRcUdusfuBdwMnN9jE6oh4RYn0mVkDVevKomoq+5xFRZUJFtdK+jVZMdT7JU0B/lhivX2B5RFxD4Cky4EjgOeCRUSsSPPWtZluM2uhqkUsVQpg3a4gHusKK7gj4lTgNcBARKwBniT70S8yDViZG1+VppW1maRBSbdImttoAUknpGUGH3rooTY2bTa+VbEri6r1xVTF5yyqrDBYSHorsCYi1ko6g6yuYmrHUwY7RsQAcAzwGUm71C8QERdHxEBEDEyZMqULSTIbG6pYxFK1AFbF5yyqrEwx1D9ExFWSXgscDJwPfAHYr2C9IWB6bnyHNK2UiBhKf++RdBOwN3B32fXNJrIqFrFUMYBV7TmLKivznEXtUuDPgYsj4j+BTUqstxCYJWknSZsARwPzyyRK0jaSNk3D2wH7k6vrMLPWqljEUsW+mKy8MsFiSNJFwNuB76Uf8TJ1Hc8CJwILgDuBKyNiqaSzJR0OIOmVklYBbwUukrQ0rb4rMCjpNuBG4Ly6VlRm1kIVi1iqGMCsPEW06P8WkLQ5cBiwJCLukrQ9sGdE/KAbCSxrYGAgBgcHe50MM2uhSq2hLCNpUaofbqmwziIinpJ0NzBH0hzgx1ULFGY2NriOYOwq0xrqg8A3gBelz9cl/V2nE2ZmZtVRpjXUe4H9IuJJAEmfBH4G/HsnE2ZmZtVRJliI51tEkYaL+/swM6vjOouxq0ywuBS4VdJ30vhc4MudS5KZjUdV7YLEyinTBPbfgOOBR9Ln+Ij4TKcTZmbjS9We4Lb2NL2zkLRtbnRF+jw3LyIe6VyyzGy8qeIT3FZeq2KoRUDwfP1E7YEMpeGdO5guMxtnqtgFiZXXNFhExE7dTIjZWOaK22LtvF/aqqdMBbeZteCK23K6/RpQG10OFmYjNB5ez9ktfoJ77CrTkaCZteCKW5sISt1ZpHdZzIqIS9NrVbeMiHs7mzSz5qpUR+CKW5sIyvQN9XHgY8BpadIksrflmfWEX89p1n1liqHeAhxO9u5tIuIBYKtOJsqslao93FXFd0eYjbYyxVDPRERICgBJW3Q4TWYtVbGOwBW3Nt6VCRZXpjflTZb0PuA9wH90NllmzbmOoJwq1evY2Femb6h/Aa4Gvg3MBs6MCHdPbj3jOoJiVavXsbGv5Z2FpD7gRxFxIPDD7iTJrDU/3FXMz37YaGsZLCJiraR1kraOiMe7lSizIq4jaK2K9To2tpWps3gCWCLph6QWUQARcVLHUmVmI+J6HRttZYLFNeljZmOEO+2z0VYYLCLism4kxMxGj+t1bLQVBgtJs4Bzgd2AzWrTI8Lvs7CecbPQYq7XsdFU5gnuS4EvAM8CBwJfxd19WA+5WahZ95UJFv0RcT2giLgvIs4C/ryzyTJrrmrdfZhNBGUquJ+WtBFwl6QTgSFgy84my6w5Nws1674ydxYfBDYHTgL2AY4Fjutkosxaadb8081CzTqnabCQ9LU0+JqIeCIiVkXE8RHxlxFxS5fSZ7YBd/dh1n2tiqH2kTQVeI+krwLKz4yIRzqaMrMm3CzUrPtaBYsvAtcDOwOLWD9YRJpu1hNuFmrWXU2DRURcAFwg6QsR8f4upslszPFzHzbetaqz2FbStsDpteH8p8zGJR0maZmk5ZJObTD/9ZJ+IelZSUfVzTtO0l3p4wp1qyw/92ETQatiqEVkxU1QV19BiWKo1L3554FDgFXAQknzI+KO3GL3A+8GTq5bd1vg48BA2teitO6jLY/GrAfcHbhNBK2KoXYa4bb3BZZHxD0Aki4HjgCeCxYRsSLNW1e37hzgh7VK9NTj7WHAt0aYJrNR5+c+bCJoGiwk/WmrFSPiFwXbngaszI2vAvYrma5G625wiSbpBOAEgBkzZpTctNnocnfgNhG0Kob61xbzAnjDKKelbRFxMXAxwMDAQBQsbtYR7g7cJoJWxVAHjnDbQ8D03PgOaVrZdQ+oW/emEabHrCP83IdNBGW6KN8c+AgwIyJOSF2Wz46IawtWXQjMkrQT2Y//0cAxJdO1APhnSduk8UOB00qua9Z1fu7DxruyXZQ/A7wmjQ8B5xStFBHPAieS/fDfCVwZEUslnS3pcABJr5S0CngrcJGkpWndR4BPkAWchcDZfmLczKx3FNG6qF/SYEQMSFocEXunabdFxMu7ksKSBgYGYnBwsNfJMDMbUyQtioiBouXKdFH+jKR+0jMXknYBnh5h+mwM8dPJZlYmWJwFXAdMl/QNYH+yB+lsAqg9nVxr6VN7OhlwwDCbQArrLCLiB8CRZAHiW8BARNzU2WRZVfitdGYG5VpDfR24GfhxRPy680myKvHTyWYG5VpDfRnYHvh3SfdI+rakD3Y4XVYRfiudmUG5YqgbgX8C/gH4D7LO/dxl+QTht9KZGZQrhroe2AL4GfBj4JUR8WCnE2bV4KeTzQzKFUPdTvZQ3h7AXsAeqSmtmZlNEIV3FhHxYQBJW5G1iLoU+BNg046mzCrBTWfNDErcWUg6UdIVwGKy91FcAryx0wmzanDTWTODcg/lbQb8G7Ao9fdkE4ibzpoZlCuG+pduJMSqyS/2MTMoV8FtE5ibzpoZlCuGsgnMTWfNDBwsrAS/2MfMXAxlZmaFHCzMzKyQg4WZmRVysDAzs0IOFmZmVsjBwszMCjlYmJlZIQcLMzMr5IfyKmbe4iE/LW1mleNgUSF+d4SZVZWLoSrE744ws6pysKgQvzvCzKrKwaJCtu6f1NZ0M7NucbCoEKm96WZm3eJgUSGPPbWmrelmZt3iYFEhzV5V6leYmlmvOVhUiF9hamZV1dFgIekwScskLZd0aoP5m0q6Is2/VdLMNH2mpNWSfpk+X+xkOqti7t7TOPfIPZk2uR8B0yb3c+6Re/oZCzPruY49lCepD/g8cAiwClgoaX5E3JFb7L3AoxHxEklHA58E3p7m3R0Rr+hU+qrKrzA1syrq5J3FvsDyiLgnIp4BLgeOqFvmCOCyNHw1cJDktj9mZlXTyWAxDViZG1+VpjVcJiKeBR4HXpjm7SRpsaSbJb2ug+k0M7MCVe0b6rfAjIh4WNI+wDxJu0fE/+YXknQCcALAjBkzepBMM7OJoZN3FkPA9Nz4Dmlaw2UkbQxsDTwcEU9HxMMAEbEIuBt4af0OIuLiiBiIiIEpU6Z04BDMzAw6GywWArMk7SRpE+BoYH7dMvOB49LwUcANERGSpqQKciTtDMwC7ulgWs3MrIWOFUNFxLOSTgQWAH3AJRGxVNLZwGBEzAe+DHxN0nLgEbKAAvB64GxJa4B1wN9ExCOdSquZmbWmiOh1GkbFwMBADA4O9joZZmZjiqRFETFQtJyf4DYzs0IOFmZmVsjBwszMCjlYmJlZIQcLMzMr5GBhZmaFHCzMzKxQVfuG6ol5i4c4f8EyHnhsNVMn93PKnNnuLtzMDAeL58xbPMRp1yxh9Zq1AAw9tprTrlkC4IBhZhOei6GS8xcsey5Q1Kxes5bzFyzrUYrMzKrDwSJ54LHVbU03M5tIHCySqZP725puZjaROFgkp8yZTf+kvvWm9U/q45Q5s3uUIjOz6nAFd1KrxHZrKDOzDTlY5Mzde5qDg5lZAy6GMjOzQg4WZmZWyMHCzMwKOViYmVkhBwszMyvk1lA57kjQzKwxBwuyIHHW/KU8tnrNc9PckaCZ2fMmfDFUrbfZfKCocUeCZmaZCR8sGvU2m+eOBM3MHCwKg4E7EjQzc7BoGQzckaCZWWbCB4tT5sxm0kbaYPo2m0/i3CP3dOW2mRkOFpm6WDGpT3z8zbs7UJiZJRM+WJy/YBlr1sZ609asDbeCMjPLmfDBwq9TNTMrNuGDhV+namZWbMIHC79O1cys2ITv7sOvUzUzK9bROwtJh0laJmm5pFMbzN9U0hVp/q2SZubmnZamL5M0p1NpPGPeEv7/lbcx9NhqNpI48GVTHCjMzOp0LFhI6gM+D7wR2A14h6Td6hZ7L/BoRLwE+DTwybTubsDRwO7AYcCFaXuj6ox5S/j6LfezNrLWUGsj+Pot93PGvCWjvSszszGtk3cW+wLLI+KeiHgGuBw4om6ZI4DL0vDVwEGSlKZfHhFPR8S9wPK0vVH1rVtXtjXdzGyi6mSwmAbkf3VXpWkNl4mIZ4HHgReWXBdJJ0galDT40EMPtZ3A2h1F2elmZhPVmG4NFREXR8RARAxMmTKl7fX7tGE3H62mm5lNVJ0MFkPA9Nz4Dmlaw2UkbQxsDTxcct0Re8d+09uabmY2UXUyWCwEZknaSdImZBXW8+uWmQ8cl4aPAm6IiEjTj06tpXYCZgE/H+0EnjN3T4591Yzn7iT6JI591QzOmbvnaO/KzGxM69hzFhHxrKQTgQVAH3BJRCyVdDYwGBHzgS8DX5O0HHiELKCQlrsSuAN4FvhARDR/Q9EInDN3TwcHM7MCinFSmTswMBCDg4O9ToaZ2ZgiaVFEDBQtN6YruM3MrDscLMzMrJCDhZmZFXKwMDOzQuOmglvSQ8B9I9jEdsDvRyk545XzqJjzqBznU7Fu5dGOEVH4VPO4CRYjJWmwTIuAicx5VMx5VI7zqVjV8sjFUGZmVsjBwszMCjlYPO/iXidgDHAeFXMeleN8KlapPHKdhZmZFfKdhZmZFXKwMDOzQuM+WEg6TNIyScslndpg/qaSrkjzb5U0MzfvtDR9maQ53Ux3tw03nyQdImmRpCXp7xu6nfZuGcm5lObPkPSEpJO7leZuG+H3bS9JP5O0NJ1Pm3Uz7d00gu/bJEmXpfy5U9JpXUt0RIzbD1nX6HcDOwObALcBu9Ut87fAF9Pw0cAVaXi3tPymwE5pO329PqYK5tPewNQ0vAcw1OvjqVoe5eZfDVwFnNzr46laHpG9LuF24OVp/IX+vjXMp2OAy9Pw5sAKYGY30j3e7yz2BZZHxD0R8QxwOXBE3TJHAJel4auBgyQpTb88Ip6OiHuB5Wl749Gw8ykiFkcAqLwvAAAH7ElEQVTEA2n6UqBf0qZdSXV3jeRcQtJc4F6yPBqvRpJHhwK3R8RtABHxcHToHTYVMJJ8CmCL9GbRfuAZ4H+7kejxHiymAStz46vStIbLRMSzwONkVzVl1h0vRpJPeX8J/CIinu5QOntp2HkkaUvgY8A/diGdvTSS8+ilQEhaIOkXkj7ahfT2ykjy6WrgSeC3wP3Av0TEI51OMHTwTXk2sUjaHfgk2RWire8s4NMR8US60bANbQy8Fngl8BRwfXopz/W9TVbl7AusBaYC2wA/lvSjiLin0zse73cWQ8D03PgOaVrDZdKt3dbAwyXXHS9Gkk9I2gH4DvCuiLi746ntjZHk0X7ApyStAD4E/H165fB4M5I8WgX8V0T8PiKeAr4H/GnHU9wbI8mnY4DrImJNRDwI/AToSv9R4z1YLARmSdpJ0iZkFUXz65aZDxyXho8Cbois9mg+cHRqlbATMAv4eZfS3W3DzidJk4H/BE6NiJ90LcXdN+w8iojXRcTMiJgJfAb454j4XLcS3kUj+b4tAPaUtHn6cfwz4I4upbvbRpJP9wNvAJC0BfAq4NddSXWvWwZ0+gO8CfgNWeuD09O0s4HD0/BmZC1UlpMFg51z656e1lsGvLHXx1LFfALOICtD/WXu86JeH0+V8qhuG2cxTltDjTSPgGPJGgD8CvhUr4+livkEbJmmLyULpqd0K83u7sPMzAqN92IoMzMbBQ4WZmZWyMHCzMwKOViYmVkhBwszMyvkYGFdJel76dmMSpD0utTL6S8l9Xdpnz/t8PbPaqdnW0kDki4Y5r7mStqtnTRJOlvSwWn4Q5I2H86+rbscLKwrlNkoIt4UEY/1Oj057wTOjYhXRMTq0dpoerCsoYh4zWjtZzRExGBEnDTM1eeS9dDczv7OjIgfpdEPkfWeahXnYGGlSTpP0gdy42dJOlnSlpKuTx3ALZF0RJo/M/XZ/1WyB62mS1ohabs0f56yd2AslXRCbrtPSPonSbdJukXSi9P0F0v6Tpp+m6TXpOnHSvp5uju4SFJfg7QfJGlxSt8l6cn8vwbeBnxC0jfqlp8p6deSvpHeG3B17QpY0j6Sbk5pXyBp+zT9JkmfkTQIfLBFep/I7ecUSQsl3S7pH1vlc7Pl0/TTJf1G0n8Ds5v8/74i6YuSBtOyf5GmHyDpWkkbpf/P5Nw6d6XjmCnphrTf65W9m+M1wOHA+Snvd5H0vpS+2yR9u9FdQ0rHUZJOIuvj6EZJN0p6j6TP5JZ7n6RPNzoW64FeP8noz9j5kL274ubc+B1k/ddsDLwgTduO7KlTATOBdcCrcuusALZLw9umv/1kweSFaTyAN6fhTwFnpOErgA+l4T6y/nJ2Bb4LTErTLyTroyqf7s3IevB8aRr/am47XwGOanCsM1M69k/jlwAnA5OAnwJT0vS3A5ek4ZuAC3Pb2CC9afiJ9PdQ4OKUVxsB1wKvb5HPzZbfB1hCdoX+gpT/Gzwlno71urTuLLL+mDYDDgCuTct8Fjg+De8H/CgNfxc4Lg2/B5jXKP9q/8M0fA7wd2n4rFqa8uuw/vmwJdkTzbX/5U+BPXt93vuTfdzrrJUWEYslvUjSVGAK8GhErJQ0CfhnSa8nCw7TgBen1e6LiFuabPIkSW9Jw9PJfsAeJuuj/9o0fRFwSBp+A/CulJa1wOOS/orsx3Khsh5d+4EH6/YzG7g3In6Txi8DPkDWT1MrK+P5/q6+DpxE9mO7B/DDtL8+su6ia67IDW+Q3rrtH5o+i9P4lsCsiPhyk3z+YKPlga2A70TWAR+S6vsZyrsyItYBd0m6B3hZ3fwrgDOBS0kv3UnTXw0cmYa/RhbEG9lD0jnA5JS+BS3Ssp7IeuW9AfgLSXeSBY0lZde3znKwsHZdRdax2Z/w/A/JO8l+1PaJiDXKeletvRLzyUYbkXQAcDDw6oh4StJNuXXWRLq0JOuOudV5KuCyiOjE6yXr+8KJtL+lEfHqJus0PN4mRFZfclGDeY3yueHykj7Uxj4bHVPez4CXSJpCVh9xThvbhuyuYW5E3Cbp3WR3Le34EvD3ZJ3jXdrmutZBrrOwdl1BdsV5FNkPGmTFQQ+mQHEgsGOJ7WxNdsX8lKSXkfWeWeR64P0AkvokbZ2mHSXpRWn6tpLq978MmCnpJWn8r4CbS+xvhqRaUDgG+O+0rSm16creibx7G+nNWwC8R9nLkZA0rXYcNM7nZsv/FzBXUr+krYA3tzimt6a6iV3IXuu5LD8zBenvAP8G3BkRD6dZP03pgezi4Mdp+A9kdzY1WwG/TXeb72yRjpr11o+IW8nuMo8BvlVifesSBwtrS0QsJftyD0VErfjlG8CApCVkxS5luky+Dtg4FTecBzQrqsr7IHBg2s8isvcW30HW8+0PJN0O/BDYvi7NfwSOB65K664Dvlhif8uAD6Q0bgN8IbLXYB4FfFLSbWS97DZr3bRBeuvS9QPgm8DP0jJXk344G+Vzs+Uj4hdkweU24PtkXWA3cz9ZL6bfB/4m5U29K8h6gM0Xqf0dcHzK479KxwbZK0FPUdZ4YBfgH4Bbyd6zUOY8uBi4TtKNuWlXAj+JiEdLrG9d4l5nzRqQNJOs0nePHidl1Ej6CtkxXd3rtLQi6VqyNwv6LXkV4jsLM6sESZMl/QZY7UBRPb6zMDOzQr6zMDOzQg4WZmZWyMHCzMwKOViYmVkhBwszMyv0f2It6d/N5nbEAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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xK58ox4FjNlJlvHS2jF+EZfvR0T8BVj5ee3yHlaKBW9LRZFVO5zWzXERcGBEDETEwceLE5jdcXT+48vH0jypXXaFZ08p4pU8Z2wissFYmiyGgsie1rdO4tUjaHzgdODQinmtm2VGr2d1HhU5/uMxGqoy/4sva6F4mK+s0y9Yb30atTBbzgemStpW0AXAUMLdyBkkzgAvIEsWjFZPmAQdKmiBpAnBgGrduFfnglKCu0KxpZfwV776Y8pXx/5a0rM0iIlZLOp7sS74PuDgiFks6CxiMiLlk1U6bAldIAngoIg6NiMclfY4s4QCcNdzYvU4V6e6jBP8ks6b5CYfdqaz/N3q9I8GaXZRX6PRldGajUbZLZ62YNv/fil4629vJAnw1lJn1tDLcZ9EdfFpsZparFJfOmplZuTlZQLn6qzEzKyFXQ5XxTlczs5LxmUUZ73Q1MysZJ4sy3ulqZlYyThYlvmPSzKwsnCzcX42ZWS4nC/dXY2aWy1dDgW/MMzPL4WRhZj1rzsIhzpu3hEeeXMmk8f2cfNAOzJzxsuesGU4WZtaj5iwc4rSrFrFy1RoAhp5cyWlXLQJwwqjBbRZm1pPOm7fkxUQxbOWqNZw3b0mHIio3Jwsz60mPPFn70QT1xvc6V0OZWU+aNL6foRqJYdL4/hpzl1M721x8ZmFmPenkg3agf1zfWuP6x/Vx8kE7dCii5gy3uQw9uZLgpTaXOQuHWrI9Jwsz60kzZ0zm84fvyuTx/QiYPL6fzx++a9c0bre7zcXVUGbWs2bOmNw1yaFau9tcfGZhZtaF6rWttKrNxcnCzHrWnIVD7H3O9Wx76n+z9znXt6y+vxXa3ebiaigz60ndflPecIztuhrKycLMelKjBuJuSBbQ3jYXV0OZWU/yTXnN8ZmFmfUk35TXHJ9ZmFlP8k15zXGyMLOe5JvymuNqKDPrWb4przgnCzOzEinaDtHuNpfcaihJ50raXNI4SddJWiHp6JZEY2bWw+YsHOLkK+5Yqx3i5CvuqNkO0e42lyJtFgdGxB+BdwHLgNcAJ7ckGjOzHjZr7mJWvRBrjVv1QjBr7uKXzdvuNpci1VDD8/w1cEVEPCWpJcGYmfWyJ1euamp82W7Ku1rS3cDuwHWSJgJ/LrJySQdLWiJpqaRTa0x/q6TbJK2WdETVtDWSbk+vuUW2Z2ZmrZF7ZhERp0o6F3gqItZIegY4LG85SX3AV4ADgOXAfElzI+KuitkeAj4MnFRjFSsj4g0F9sHMbEyYsPE4nnj25WcREzYe14Fo1lakgfs9wKqUKM4AvgtMKrDuPYClEXF/RDwPzKYqyUTEsoi4E3ih+dDNzMaWfzpkZ8b1rV3NP65P/NMhO3coopcUqYb6bET8SdJbgP2Bi4CvFVhuMvBwxfvlaVxRG0kalHSLpJm1ZpB0XJpncMWKFU2s2sysfGbOmMx5R7x+rUbr8454fSnuBSnSwD18i+BfAxdGxH9LOruFMQ3bJiKGJG0HXC9pUUTcVzlDRFwIXAgwMDAQtVZiZuXRzr6MulVZbxQscmYxJOkC4EjgGkkbFl0OmFLxfus0rpCIGEp/7wduBGYUXdbMyqfdfRnZulXkS/+9wDzgoIh4EtiSYvdZzAemS9pW0gbAUUChq5okTUhJCUlbAXsDdzVeyszKrN19Gdm6VeRqqGcl3QccJOkg4OaI+FmB5VZLOp4s0fQBF0fEYklnAYMRMVfSG4EfAROAQyT9c0TsDOwIXCDpBbKEdk7VVVRmlqNsVT61uqZoNN7KJTdZSDoR+BhwVRr1XUkXRsR/5i0bEdcA11SNO7NieD5Z9VT1cr8Eds1bv5nVVsZHhvZJrImXNy32+SbfrlCkGuqjwJ4RcWb6ot+LLHmYWUmVscqnVqJoNN7KpUiyEC9dEUUa9k8BsxIr4yNDJ9fpDbXeeCuXIsniEuBWSbMkzQJuIbvXwsxKql431Z18ZGi3P5mu1+Umi4j4D+BY4PH0OjYivtTqwMxs5Mr4xdztT6brdXUbuCVtWfF2WXq9OC0iHm9dWGY2GsNfwGW6Gmo4rk7HYCPT6GqoBUDwUvvEcCuU0vB2LYzLrKuU7TJV8BezrVt1k0VEbNvOQMy6VRkvUzVb1/wMbrNRanSZaieTRRnPdqx7OVmYjVIZL1P12Y6ta0UunTWzBsp4mWoZb8qz7lYoWUh6i6Rj0/BESW7PMEvKeJlqGc92rLsVeVLePwGnAKelUePInpZnZpTz/oEynu1YdyvSZvFusmdJ3AYQEY9I2qylUZl1mbJdpnryQTus1WYBnT/bse5WJFk8HxEhKQAkbdLimMxslMp6U551ryLJ4vL0pLzxkj4GfAT4RmvDMmusbJeFli0eKN/ZjnW3Ig8/+jdJBwB/BHYAzoyIa1semVkdZbsstGzxmLVCwwZuSX2SboiIayPi5Ig4yYnCOq1sl4WWLR6zVmiYLCJiDfCCpC3aFI9ZrrJdFlq2eMxaoUibxdPAIknXAs8Mj4yIE1oWlVkDk8b313xuc6cuCy1bPGatUOSmvKuAzwL/Q9YT7fDLrCPKdhNc2eIxa4UiDdyXtiMQs6LKdllo2eIxawVFzsPSJU0HPg/sBGw0PD4iSvU8i4GBgRgcHOx0GGZmXUXSgogYyJuv6DO4vwasBvYDvo27+zAz6ylFkkV/RFxHdhbyYETMAv66tWGZmVmZFLka6jlJ6wH3SjoeGAI2bW1YZmZWJkWSxYnAxsAJwOfIqqKOaWVQZnnK2L2G2VhWN1lI+k5EfBB4c0TMJ7vf4ti2RWZWh7vXMGu/Rm0Wu0uaBHxE0gRJW1a+2hWgWTV3r2HWfo2qob4OXAdsR3YTniqmRRpv1nbuXsOs/eqeWUTE+RGxI3BxRGwXEdtWvJworGP8FDiz9qubLCqqm06vroJyNZR1krvXMGu/Rm0WC4DB9FpQ9Sp0q7SkgyUtkbRU0qk1pr9V0m2SVks6omraMZLuTS9ffWUvKuMzr83GutzuPka8YqkPuAc4AFgOzAfeFxF3VcwzDdgcOAmYGxFXpvFbkiWkAbL2kQXA7hHxRL3tubsPM7PmFe3uo9Gls3/ZaMGIuC1n3XsASyPi/rS+2cBhwIvJIiKWpWkvVC17EHBtRDyepl8LHAz8IGebZmbWAo2uhvr3BtMCeFvOuicDD1e8Xw7sWTCuWsu6jsHMrEPqJouI2K+dgYyEpOOA4wCmTp3a4WjMzMau3I4EJW0s6QxJF6b30yW9q8C6h4ApFe+3TuOKKLRsRFwYEQMRMTBx4sSCqzYzs2YV7aL8eeDN6f0QcHaB5eYD0yVtK2kD4ChgbsG45gEHpjvHJwAHpnFmZtYBRZLF9hFxLrAKICKeZe27uWuKiNXA8WRf8r8FLo+IxZLOknQogKQ3SloOvAe4QNLitOzjZJ0Wzk+vs4Ybu83MrP2K9Dr7vKR+skZtJG0PPFdk5RFxDXBN1bgzK4bnk1Ux1Vr2YuDiItsxM7PWKpIsZgE/BaZI+h6wN/DhFsZkZmYlk5ssIuJnkhYAe5FVP50YEX9oeWRmZlYauclC0neBm4CbI+Lu1odkZeMHDZlZkQbui4BXA/8p6X5JP5R0YovjspIYftDQ0JMrCV560NCchUWvgjazsSA3WUTEDcC/AJ8FvkHWX9PHWxyXlYQfNGRmUKwa6jpgE+BXwM3AGyPi0VYHZuXgBw2ZGRSrhrqT7Ka8XYDdgF3SpbTWA8ZvPK6p8WY2NhW5GupTAJI2I7tk9hLgL4ANWxqZlUK9Huxb1LO9mZVUkWqo44F9gN2BZWQ3yt3c2rB6V9muPHpq5aqmxpvZ2FTkpryNgP8AFqQuPKxFhq88Gm5QHr7yCOhYwpg0vp+hGu0Tft61WW8pcjXUv0XErU4UrVfGK4/8vGszg2JnFtYmZbzyaPiMpkxVY2bWfk4WJVLWKp+ZMyY7OZj1uCKXzlqbuMrHzMrKZxYl4iofMysrJ4uScZWPmZWRq6HMzCyXk4WZmeVysjAzs1xOFmZmlsvJwszMcjlZmJlZLicLMzPL5WRhZma5nCzMzCyXk4WZmeVysjAzs1zuG6pkyvZYVTMzcLIolTI+VtXMDFwNVSplfKyqmRk4WZRKGR+ramYGThalUu/xqZ1+rKqZWUuThaSDJS2RtFTSqTWmbyjpsjT9VknT0vhpklZKuj29vt7KOMvCj1U1s7JqWQO3pD7gK8ABwHJgvqS5EXFXxWwfBZ6IiNdIOgr4AnBkmnZfRLyhVfGVkR+ramZl1cqrofYAlkbE/QCSZgOHAZXJ4jBgVhq+EvgvSWphTKXnx6qaWRm1shpqMvBwxfvlaVzNeSJiNfAU8Io0bVtJCyXdJGmfWhuQdJykQUmDK1asWLfRm5nZi8rawP07YGpEzAA+DXxf0ubVM0XEhRExEBEDEydObHuQZma9opXJYgiYUvF+6zSu5jyS1ge2AB6LiOci4jGAiFgA3Ae8toWxmplZA61MFvOB6ZK2lbQBcBQwt2qeucAxafgI4PqICEkTUwM5krYDpgP3tzBWMzNroGUN3BGxWtLxwDygD7g4IhZLOgsYjIi5wEXAdyQtBR4nSygAbwXOkrQKeAH4u4h4vFWxmplZY4qITsewTgwMDMTg4GCnwzAz6yqSFkTEQN58ZW3gNjOzEnGyMDOzXE4WZmaWy8nCzMxyOVmYmVkuJwszM8vlZGFmZrmcLMzMLJeThZmZ5XKyMDOzXE4WZmaWy8nCzMxyOVmYmVkuJwszM8vlZGFmZrmcLMzMLJeThZmZ5WrZY1W70ZyFQ5w3bwmPPLmSSeP7OfmgHZg5Y3KnwzIz6zgni2TOwiFOu2oRK1etAWDoyZWcdtUiACcMM+t5roZKzpu35MVEMWzlqjWcN29JhyIyMysPJ4vkkSdXNjXezKyXOFkkk8b3NzXezKyXOFkAZ8xZxFCdM4j9XjexzdGYmZVPzyeLM+Ys4ru3PFR3+g13r2hjNGZm5dTzyeIHtz7ccLrbLMzMnCxYE9FwutsszMycLOiT6k7rH9fHyQft0MZozMzKqeeTxfv2nFJz/CYb9PH5w3f1DXlmZvgObs6euSuQtV2siaBP4n17TnlxvJmZgSKnzr5bDAwMxODgYKfDMDPrKpIWRMRA3nw9Xw1lZmb5nCzMzCxXS9ssJB0MfBnoA74ZEedUTd8Q+DawO/AYcGRELEvTTgM+CqwBToiIea2I8Yw5i9xeYWaWo2VnFpL6gK8A7wB2At4naaeq2T4KPBERrwG+CHwhLbsTcBSwM3Aw8NW0vnVq+O7t4Xst1kTw3Vse4ow5i9b1pszMulorq6H2AJZGxP0R8TwwGzisap7DgEvT8JXA2yUpjZ8dEc9FxAPA0rS+dare3dt5d3WbmfWaViaLyUDlt+7yNK7mPBGxGngKeEXBZZF0nKRBSYMrVjTfh1O9u7fz7uo2M+s1Xd3AHREXRsRARAxMnNh877D17t5udFe3mVkvamWyGAIqb4/eOo2rOY+k9YEtyBq6iyw7avXu3q433sysV7UyWcwHpkvaVtIGZA3Wc6vmmQsck4aPAK6P7C7BucBRkjaUtC0wHfj1ug7w7Jm7cvReU188k+iTOHqvqb4aysysSssunY2I1ZKOB+aRXTp7cUQslnQWMBgRc4GLgO9IWgo8TpZQSPNdDtwFrAY+ERFram5olM6euauTg5lZDnf3YWbWw9zdh5mZrTNOFmZmlsvJwszMcjlZmJlZrjHTwC1pBfDgKFaxFfCHdRTOWOUyyucyKsbllK9dZbRNROTe1TxmksVoSRosckVAL3MZ5XMZFeNyyle2MnI1lJmZ5XKyMDOzXE4WL7mw0wF0AZdRPpdRMS6nfKUqI7dZmJlZLp9ZmJlZLicLMzPLNeaThaSDJS2RtFTSqTWmbyjpsjT9VknTKqadlsYvkXRQO+Nut5GWk6QDJC2QtCj9fVu7Y2+X0RxLafpUSU9LOqldMbfbKD9vu0n6laTF6XjaqJ2xt9MoPm/jJF2ayue3kk5rW9ARMWZfZF2j3wdsB2wA3AHsVDXP3wNfT8NHAZel4Z3S/BsC26b19HV6n0pYTjOASWl4F2Co0/tTtjKqmH4lcAVwUqf3p2xlRPa4hDuB16f3r/DnrWY5vR+YnYY3BpYB09rXFQmsAAAIIElEQVQR91g/s9gDWBoR90fE88Bs4LCqeQ4DLk3DVwJvl6Q0fnZEPBcRDwBL0/rGohGXU0QsjIhH0vjFQL+kDdsSdXuN5lhC0kzgAbIyGqtGU0YHAndGxB0AEfFYtOgZNiUwmnIKYJP0ZNF+4Hngj+0Ieqwni8nAwxXvl6dxNeeJiNXAU2S/aoosO1aMppwq/Q1wW0Q816I4O2nEZSRpU+AU4J/bEGcnjeY4ei0QkuZJuk3SZ9oQb6eMppyuBJ4Bfgc8BPxbRDze6oChhU/Ks94iaWfgC2S/EG1ts4AvRsTT6UTDXm594C3AG4FngevSQ3mu62xYpbMHsAaYBEwAbpb084i4v9UbHutnFkPAlIr3W6dxNedJp3ZbAI8VXHasGE05IWlr4EfAhyLivpZH2xmjKaM9gXMlLQM+CfxjeuTwWDOaMloO/E9E/CEingWuAf6y5RF3xmjK6f3ATyNiVUQ8CvwCaEv/UWM9WcwHpkvaVtIGZA1Fc6vmmQsck4aPAK6PrPVoLnBUuiphW2A68Os2xd1uIy4nSeOB/wZOjYhftC3i9htxGUXEPhExLSKmAV8C/jUi/qtdgbfRaD5v84BdJW2cvhz/CrirTXG322jK6SHgbQCSNgH2Au5uS9SdvjKg1S/gncA9ZFcfnJ7GnQUcmoY3IrtCZSlZMtiuYtnT03JLgHd0el/KWE7AGWR1qLdXvF7Z6f0pUxlVrWMWY/RqqNGWEXA02QUAvwHO7fS+lLGcgE3T+MVkyfTkdsXs7j7MzCzXWK+GMjOzdcDJwszMcjlZmJlZLicLMzPL5WRhZma5nCysrSRdk+7NKAVJ+6ReTm+X1N+mbf6yxeuf1UzPtpIGJJ0/wm3NlLRTMzFJOkvS/mn4k5I2Hsm2rb2cLKwtlFkvIt4ZEU92Op4KHwA+HxFviIiV62ql6caymiLizetqO+tCRAxGxAkjXHwmWQ/NzWzvzIj4eXr7SbLeU63knCysMEnnSPpExftZkk6StKmk61IHcIskHZamT0t99n+b7EarKZKWSdoqTZ+j7BkYiyUdV7HepyX9i6Q7JN0i6VVp/Ksk/SiNv0PSm9P4oyX9Op0dXCCpr0bsb5e0MMV3cboz/2+B9wKfk/S9qvmnSbpb0vfScwOuHP4FLGl3STel2OdJenUaf6OkL0kaBE5sEO/TFds5WdJ8SXdK+udG5Vxv/jT+dEn3SPpfYIc6/79vSfq6pME077vS+H0lXS1pvfT/GV+xzL1pP6ZJuj5t9zplz+Z4M3AocF4q++0lfSzFd4ekH9Y6a0hxHCHpBLI+jm6QdIOkj0j6UsV8H5P0xVr7Yh3Q6TsZ/eqeF9mzK26qeH8XWf816wObp3Fbkd11KmAa8AKwV8Uyy4Ct0vCW6W8/WTJ5RXofwCFp+FzgjDR8GfDJNNxH1l/OjsCPgXFp/FfJ+qiqjHsjsh48X5vef7tiPd8Cjqixr9NSHHun9xcDJwHjgF8CE9P4I4GL0/CNwFcr1vGyeNPw0+nvgcCFqazWA64G3tqgnOvNvzuwiOwX+uap/F92l3ja15+mZaeT9ce0EbAvcHWa58vAsWl4T+DnafjHwDFp+CPAnFrlN/w/TMNnA/+QhmcNx1S5DGsfD5uS3dE8/L/8JbBrp497v7KXe521wiJioaRXSpoETASeiIiHJY0D/lXSW8mSw2TgVWmxByPiljqrPEHSu9PwFLIvsMfI+ui/Oo1fAByQht8GfCjFsgZ4StIHyb4s5yvr0bUfeLRqOzsAD0TEPen9pcAnyPppauTheKm/q+8CJ5B92e4CXJu210fWXfSwyyqGXxZv1foPTK+F6f2mwPSIuKhOOZ9Ya35gM+BHkXXAh6TqfoYqXR4RLwD3SrofeF3V9MuAM4FLSA/dSePfBByehr9DlsRr2UXS2cD4FN+8BrGsJbJeea8H3iXpt2RJY1HR5a21nCysWVeQdWz2F7z0RfIBsi+13SNilbLeVYcfiflMrZVI2hfYH3hTRDwr6caKZVZF+mlJ1h1zo+NUwKUR0YrHS1b3hRNpe4sj4k11lqm5v3WIrL3kghrTapVzzfklfbKJbdbap0q/Al4jaSJZe8TZTawbsrOGmRFxh6QPk521NOObwD+SdY53SZPLWgu5zcKadRnZL84jyL7QIKsOejQliv2AbQqsZwuyX8zPSnodWe+Zea4DPg4gqU/SFmncEZJemcZvKal6+0uAaZJek95/ELipwPamShpOCu8H/jeta+LweGXPRN65iXgrzQM+ouzhSEiaPLwf1C7nevP/DzBTUr+kzYBDGuzTe1LbxPZkj/VcUjkxJekfAf8B/DYiHkuTfpnigezHwc1p+E9kZzbDNgN+l842P9AgjmFrLR8Rt5KdZb4f+EGB5a1NnCysKRGxmOzDPRQRw9Uv3wMGJC0iq3Yp0mXyT4H1U3XDOUC9qqpKJwL7pe0sIHtu8V1kPd/+TNKdwLXAq6ti/jNwLHBFWvYF4OsFtrcE+ESKcQLwtcgeg3kE8AVJd5D1slvv6qaXxVsV18+A7wO/SvNcSfrirFXO9eaPiNvIkssdwE/IusCu5yGyXkx/AvxdKptql5H1AFtZpfYPwLGpjD+Y9g2yR4KerOzige2BzwK3kj1nochxcCHwU0k3VIy7HPhFRDxRYHlrE/c6a1aDpGlkjb67dDiUdUbSt8j26cpOx9KIpKvJnizop+SViM8szKwUJI2XdA+w0omifHxmYWZmuXxmYWZmuZwszMwsl5OFmZnlcrIwM7NcThZmZpbr/wN5UDB/LMM2MQAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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kbRVnHz6NWdNfc//ykHADN1Q0KC0DdUGsyw5AZWjsMrPWqG4fgM53aulATG7gbkbZGnDNrPXK+JiWMsaU+MrCzGwUK3pl4TYLMxu9/CSAwlwNZWajUxnvsygxX1mY2ehUxvssSszJwsxGpzLeZ1FiThZmNjqV8T6LEnOyMLPRyU8CaIobuM1sdCrpPQ1zFvZx7rzFPLlyNePHdjN75tSW3ZXdDCcLMxu9SnZDbv87KlavWQesf0cF0PGE4WooM7OSOHfe4lcTRb/Va9Zx7rzFHYpoPScLM7OSaPc7KprhZGFmVhLtfkdFM5wszMxKot3vqGiGG7jNzEqivxHbvaHMzKyhWdMnlCI5VHM1lJmZ5XKyMDOzXE4WZmaWy8nCzMxyOVmYmVkuJwszM8vlZGFmZrmcLMzMLJeThZmZ5XKyMDOzXH7ch5m1TVnfAmf5nCzMrC3K/BY4y+dkYWZt0egtcJ1KFr7SKa6lbRaSDpS0WNISSafUGP9+SfdKWivpiKpx6yTdlz5zWxmnmbVe2d4C13+l07dyNcH6K505C/s6Ek/ZtSxZSOoCvgYcBOwEHCVpp6rJngA+BnyvxiJWR8Ru6XNoq+I0s/bYqntMU8Nbrczvuy6jVlZD7QksiYjHACRdARwGPNQ/QUQsTeNeaWEcZlYCUnPDW61sVzpl18pqqAnAsorfy9OwojaT1Cvpbkmzak0g6fg0Te+KFSsGE6uZtdjKVWuaGt5qZX7fdRmV+T6LHSKiBzgaOF/SjtUTRMRFEdETET3jxo1rf4RmVljZDs5lft91GbUyWfQBEyt+b5eGFRIRfenfx4DbgelDGZyZtVfZDs6zpk/g7MOnMWFsNwImjO3m7MOnuTdUHbnJQtJXJL1e0hhJt0haIemYAsueD0yRNFnSJsCRQKFeTZK2lrRp+r4tMIOKtg4zG358cB7eFBGNJ5Dui4jdJH0IOBj4LPDTiHhn7sKlDwLnA13AJRHxL5LOBHojYq6kPYDrgK2BF4HfRcTOkt4DfAN4hSyhnR8RFzdaV09PT/T29uaFZGYGvPYmQciudEZbApO0IFX5N1SkN1T/NH8OXB0Rz6lg94WIuBG4sWrY6RXf55NVT1XP9zNgWqGVmJkNQBlvEiyzIsniBkm/BlYDfytpHNlVgJnZsOWus83JTRYRcYqkrwDPRcQ6SS+Q3S9hZiXmR1k0Nn5sN301EoO7ztZWpIH7L4E1KVGcBlwOjG95ZGY2YH6URb6y9c7qN2dhHzPOuZXJp/yQGefcWpq/WZGus/8UEX+U9F5gf+Bi4L9bG5aZDYYfZZGvjL2zmk3y7UwsRdos+ve4PwcuiogfSjqrZRGZ2aC5Pr6YWdMnlKpqrplG93Y/8r3IlUWfpG8AHwFuTPc/lPnOb7NRr2x3S1sxzST5dl89FjnofxiYB8yMiJXANsDslkRjZkOirPXx1lgzSb7dV4+5ySIiVgGPAjMlnQC8MSJuakk0ZjYkylgfb/maSfLtvnrMbbOQdBLwSeDaNOhySRdFxH+2JCIzGxJlq4+3fP1/ryJdnmfPnFrzDvRWXT0WedzHA8C7I+KF9Htz4OcRsWtLIhogP+7DzEabobiXZigf9yHW94gife/Q60rMzKxfO68eiySLS4F7JF2Xfs8iu9fCzErMd3DbUCryuI//kHQ78N406LiIWNjSqMxsUNrdB99GvrrJQtI2FT+Xps+r4yLimdaFZWaD4Seq2lBrdGWxAAjWt0/0t4QrfX9LC+Mys0HwHdw21Oomi4iY3M5AzIazsrUP+ImqNtT82A6zQSrjE159B7cNNScLs0Eq4xNefQe3DbUiXWfNrIFa1T2NhreL7+C2oVToykLSeyUdl76Pk+T2DLOkq8476esNNxuOijwb6p+BHmAq2Q16Y8jeljejtaGZ1VemBuV1dR6ZU2+42XBU5MriQ8ChwAsAEfEksGUrgzJrpGwNyhPq9DCqN9xsOCqSLF6O7GmDAa8+SNCsY8rWoOyeRzYaFGngviq9KW+spE8CHwf+p7VhmdVXthvOmnmstNlwVeTZUP8m6QPAH8jaLU6PiJtbHplZHWW84cw9j2yka1gNJalL0m0RcXNEzI6Ik50orNNc7WPWfg2vLCJinaRXJG0VEc+1KyizRlztY9Z+RdosngcelHQzqUcUQESc2LKozHK42sesvYoki2tZ//5tMzMbhYo0cF/WjkDMzKy8itzBPQU4G9gJ2Kx/eET4fRZmZqNEkZvyLgX+G1gL7AN8m+xxH2ZmNkoUSRbdEXELoIh4PCLOAP68tWGZmVmZFGngfknSRsAjkk4A+oAtWhuWlUmZHtpnZp1R5MriJOB1wInA7sAxwLGtDMrKo2wP7TOzzqibLCR9J319T0Q8HxHLI+K4iPiLiLi7yMIlHShpsaQlkk6pMf79ku6VtFbSEVXjjpX0SPo4OXVI2R7a12/Owj5mnHMrk0/5ITPOudXJy6zFGlVD7S5pPPBxSd8GNniTS0Q802jBkrqArwEfAJYD8yXNjYiHKiZ7AvgYcHLVvNsA/e/RCGBBmvfZQltlQ6ZsD+2D9Vc7/Ums/2oHcPWYWYs0qoa6ELgFeDuwoOrTW2DZewJLIuKxiHgZuAI4rHKCiFgaEQ8Ar1TNOxO4OSKeSQniZuDAAuu0IVbv4XydfGhfWa92zEayuskiIi6IiHcAl0TEWyJicsWnyD0WE4BlFb+Xp2FFFJpX0vGSeiX1rlixouCirRllfGhfGa92zEa6Rm0W26TqoC/0f6/8tDHGuiLioojoiYiecePGdTqcEWnW9Amcffg0JoztRmRvfzv78Gkdre4p49WO2UjXqM1iAenteFS1V6TheVcXfcDEit/bpWFF9AF7V817e8F5bYSbPXPqBm0W0PmrHbORrm6yiIjJg1z2fGCKpMlkB/8jgaMLzjsP+FdJW6ffBwCnDjIeG4AyNib7EeVm7Vc3WUj600YzRsS9OePXppv45gFdZG0fiySdCfRGxFxJewDXAVsDh0j6YkTsHBHPSPoSWcIBODOv95W1RqPG5E4enP2IcrP2alQN9e8NxgWwb97CI+JG4MaqYadXfJ9PVsVUa95LgEvy1mGt5cZkM4PG1VD7tDMQK6cyvu/azNov93Efkl4n6TRJF6XfUyQd3PrQrAzK2HXWzNqv6CPKXwbek373AWe1LCIrlTJ2nTWz9ivy1NkdI+Ijko4CiIhVkqq70toI5sZkMytyZfGypG7SPReSdgReamlUZmZWKkWuLM4AfgxMlPRdYAbZw//MzGyUyE0WEXGTpAXAXmR3cp8UEb9veWRmZlYauclC0uXAHcCdEfHr1odkZmZlU6TN4mLgzcB/SnpM0g8kndTiuMzMrESKVEPdJumnwB7APsCngJ2Br7Y4NjMzK4ki1VC3AJsDPwfuBPaIiKdaHZiZmZVHkWqoB8huytsF2BXYJXWlNTOzUaJINdQ/AEjakqzL7KXAnwCbtjQyMzMrjSLVUCcA7wN2B5aSPQn2ztaGNXrNWdjn9zSYWekUuSlvM+A/gAURsbbF8YxqZXzRkJkZFGiziIh/i4h7nChar9GLhszMOqlIA7e1iV80ZGZl5WRRIvVeKOQXDZlZpzlZlIhfNGRmZVWkgdvapL8R272hzKxsfGVhZma5fGVRIu46a2Zl5SuLEnHXWTMrKyeLEnHXWTMrKyeLEnHXWTMrKyeLEnHXWTMrKzdwl4i7zppZWTlZlMys6ROcHMysdFwNZWZmuZwszMwsl5OFmZnlcrIwM7NcThZmZpbLycLMzHK1NFlIOlDSYklLJJ1SY/ymkq5M4++RNCkNnyRptaT70ufCVsZpZmaNtew+C0ldwNeADwDLgfmS5kbEQxWTfQJ4NiLeKulI4MvAR9K4RyNit1bFZ2ZmxbXyymJPYElEPBYRLwNXAIdVTXMYcFn6fg2wnyS1MCYzMxuAViaLCcCyit/L07Ca00TEWuA54A1p3GRJCyXdIel9tVYg6XhJvZJ6V6xYMbTRm5nZq8rawP1bYPuImA58FviepNdXTxQRF0VET0T0jBs3ru1BmpmNFq1MFn3AxIrf26VhNaeRtDGwFfB0RLwUEU8DRMQC4FHgbS2M1czMGmhlspgPTJE0WdImwJHA3Kpp5gLHpu9HALdGREgalxrIkfQWYArwWAtjNTOzBlrWGyoi1ko6AZgHdAGXRMQiSWcCvRExF7gY+I6kJcAzZAkF4P3AmZLWAK8An4qIZ1oVq5mZNaaI6HQMQ6Knpyd6e3s7HYaZ2bAiaUFE9ORNV9YGbjMzKxEnCzMzy+VkYWZmuZwszMwsl5OFmZnlcrIwM7NcThZmZpbLycLMzHI5WZiZWS4nCzMzy+VkYWZmuZwszMwsV8ueOjsczVnYx7nzFvPkytWMH9vN7JlTmTW9+uV+Zmajj5NFMmdhH6de+yCr16wDoG/lak699kEAJwwzG/VcDZWcO2/xq4mi3+o16zh33uIORWRmVh5OFsmTK1c3NdzMbDRxskjGj+1uariZ2WjiZJHMnjmV7jFdGwzrHtPF7JlTOxSRmVl5uIE76W/Edm8oM7PX8pWFmZnl8pVF4q6zZmb1+coicddZM7P6nCwSd501M6vPySJx11kzs/qcLBJ3nTUzq88N3Kx/gODqNevoklgXwQR3nTUze9WoTxZzFvYx+5r7WbMuAFgXwZguOVGYmVUY9dVQX7x+0auJot+adcEXr1/UoYjMzMpn1CeLZ1etaWq4mdloNOqThZmZ5Rv1yWJs95imhpuZjUajPlmccejOjNlIGwwbs5E449CdOxSRmVn5jPreUH7arJlZvlGfLCBLGE4OZmb1jfpqKDMzy9fSKwtJBwJfBbqAb0bEOVXjNwW+DewOPA18JCKWpnGnAp8A1gEnRsS8VsR42pwH+f49y1gXQZfEUe+ayFmzprViVWZmw1bLriwkdQFfAw4CdgKOkrRT1WSfAJ6NiLcC5wFfTvPuBBwJ7AwcCHw9LW9InTbnQS6/+wnWxfq7ty+/+wlOm/PgUK/KzGxYa2U11J7Akoh4LCJeBq4ADqua5jDgsvT9GmA/SUrDr4iIlyLiN8CStLwh9f17ljU13MxstGplspgAVB51l6dhNaeJiLXAc8AbCs6LpOMl9UrqXbFiRdMB9l9RFB1uZjZaDesG7oi4KCJ6IqJn3LhxTc/fJTU13MxstGplsugDJlb83i4NqzmNpI2BrcgauovMO2hHvWtiU8PNzEarViaL+cAUSZMlbULWYD23apq5wLHp+xHArRERafiRkjaVNBmYAvxiqAM8a9Y0jtlr+1evJLokjtlre/eGMjOr0rKusxGxVtIJwDyyrrOXRMQiSWcCvRExF7gY+I6kJcAzZAmFNN1VwEPAWuDTEbGuFXGeNWuak4OZWQ7FCGnM7enpid7e3k6HYWY2rEhaEBE9edMN6wZuMzNrDycLMzPL5WRhZma5nCzMzCzXiGnglrQCeHwQi9gW+P0QhTNSuYzyuYyKcTnla1cZ7RARuXc1j5hkMViSeov0CBjNXEb5XEbFuJzyla2MXA1lZma5nCzMzCyXk8V6F3U6gGHAZZTPZVSMyylfqcrIbRZmZpbLVxZmZpbLycLMzHKN+GQh6UBJiyUtkXRKjfGbSroyjb9H0qSKcaem4YslzWxn3O020HKS9AFJCyQ9mP7dt92xt8tg9qU0fntJz0s6uV0xt9sg/7/tKunnkhal/WmzdsbeToP4/zZG0mWpfH4l6dS2BR0RI/ZD9mj0R4G3AJsA9wM7VU3zd8CF6fuRwJXp+05p+k2ByWk5XZ3ephKW03RgfPq+C9DX6e0pWxlVjL8GuBo4udPbU7YyIntdwgPAO9PvN/j/W81yOhq4In1/HbAUmNSOuEf6lcWewJKIeCwiXgauAA6rmuYw4LL0/RpgP0lKw6+IiJci4jfAkrS8kWjA5RQRCyPiyTR8EdAtadO2RN1eg9mXkDQL+A1ZGY1UgymjA4AHIuJ+gIh4Olr0DpsSGEw5BbB5erNoN/Ay8Id2BD3Sk8UEYFnF7+VpWM1pImIt8BzZWU2ReUeKwZRTpb8A7o2Il1oUZycNuIwkbQF8HvhiG+LspMHsR28DQtI8SfdK+lwb4u2UwZTTNcALwG+BJ4D/GNoHAAAHY0lEQVR/i4hnWh0wtPBNeTa6SNoZ+DLZGaJt6AzgvIh4Pl1o2GttDLwX2ANYBdySXspzS2fDKp09gXXAeGBr4E5JP4mIx1q94pF+ZdEHTKz4vV0aVnOadGm3FfB0wXlHisGUE5K2A64DPhoRj7Y82s4YTBm9C/iKpKXAZ4B/TK8cHmkGU0bLgZ9GxO8jYhVwI/CnLY+4MwZTTkcDP46INRHxFHAX0JbnR430ZDEfmCJpsqRNyBqK5lZNMxc4Nn0/Arg1stajucCRqVfCZGAK8Is2xd1uAy4nSWOBHwKnRMRdbYu4/QZcRhHxvoiYFBGTgPOBf42I/2pX4G00mP9v84Bpkl6XDo5/BjzUprjbbTDl9ASwL4CkzYG9gF+3JepO9wxo9Qf4IPAwWe+DL6RhZwKHpu+bkfVQWUKWDN5SMe8X0nyLgYM6vS1lLCfgNLI61PsqPm/s9PaUqYyqlnEGI7Q31GDLCDiGrAPAL4GvdHpbylhOwBZp+CKyZDq7XTH7cR9mZpZrpFdDmZnZEHCyMDOzXE4WZmaWy8nCzMxyOVmYmVkuJwtrK0k3pnszSkHS+9JTTu+T1N2mdf6sxcs/o5kn20rqkXTBANc1S9JOzcQk6UxJ+6fvn5H0uoGs29rLycLaQpmNIuKDEbGy0/FU+Cvg7IjYLSJWD9VC041lNUXEe4ZqPUMhInoj4sQBzj6L7AnNzazv9Ij4Sfr5GbKnp1rJOVlYYZLOkfTpit9nSDpZ0haSbkkPgHtQ0mFp/KT0zP5vk91oNVHSUknbpvFzlL0DY5Gk4yuW+7ykf5F0v6S7Jb0pDX+TpOvS8PslvScNP0bSL9LVwTckddWIfT9JC1N8l6Q78/8G+DDwJUnfrZp+kqRfS/puem/ANf1nwJJ2l3RHin2epDen4bdLOl9SL3BSg3ifr1jPbEnzJT0g6YuNyrne9Gn4FyQ9LOl/gal1/n7fknShpN407cFp+N6SbpC0Ufr7jK2Y55G0HZMk3ZrWe4uyd3O8BzgUODeV/Y6SPpniu1/SD2pdNaQ4jpB0Itkzjm6TdJukj0s6v2K6T0o6r9a2WAd0+k5Gf4bPh+zdFXdU/H6I7Pk1GwOvT8O2JbvrVMAk4BVgr4p5lgLbpu/bpH+7yZLJG9LvAA5J378CnJa+Xwl8Jn3vIntezjuA64ExafjXyZ5RVRn3ZmRP8Hxb+v3tiuV8CziixrZOSnHMSL8vAU4GxgA/A8al4R8BLknfbwe+XrGM18Sbvj+f/j0AuCiV1UbADcD7G5Rzvel3Bx4kO0N/fSr/19wlnrb1x2neKWTPY9oM2Bu4IU3zVeC49P1dwE/S9+uBY9P3jwNzapVf/98wfT8L+Pv0/Yz+mCrnYcP9YQuyO5r7/5Y/A6Z1er/3J/v4qbNWWEQslPRGSeOBccCzEbFM0hjgXyW9nyw5TADelGZ7PCLurrPIEyV9KH2fSHYAe5rsGf03pOELgA+k7/sCH02xrAOek/TXZAfL+cqe6NoNPFW1nqnAbyLi4fT7MuDTZM9pamRZrH/e1eXAiWQH212Am9P6usgeF93vyorvr4m3avkHpM/C9HsLYEpEXFynnE+qNT2wJXBdZA/gQ1L1c4YqXRURrwCPSHoMeHvV+CuB04FLSS/dScPfDRyevn+HLInXsouks4CxKb55DWLZQGRP5b0VOFjSr8iSxoNF57fWcrKwZl1N9mCzP2H9geSvyA5qu0fEGmVPV+1/JeYLtRYiaW9gf+DdEbFK0u0V86yJdGpJ9jjmRvupgMsiohWvl6x+Fk6k9S2KiHfXmafm9tYhsvaSb9QYV6uca04v6TNNrLPWNlX6OfBWSePI2iPOamLZkF01zIqI+yV9jOyqpRnfBP6R7OF4lzY5r7WQ2yysWVeSnXEeQXZAg6w66KmUKPYBdiiwnK3IzphXSXo72dMz89wC/C2ApC5JW6VhR0h6Yxq+jaTq9S8GJkl6a/r918AdBda3vaT+pHA08L9pWeP6hyt7J/LOTcRbaR7wcWUvR0LShP7toHY515v+p8AsSd2StgQOabBNf5naJnYke63n4sqRKUlfB/wH8KuIeDqN+lmKB7KTgzvT9z+SXdn02xL4bbra/KsGcfTbYP6IuIfsKvNo4PsF5rc2cbKwpkTEIrL/3H0R0V/98l2gR9KDZNUuRR6Z/GNg41TdcA5Qr6qq0knAPmk9C8jeW/wQ2ZNvb5L0AHAz8OaqmF8EjgOuTvO+AlxYYH2LgU+nGLcG/juy12AeAXxZ0v1kT9mt17vpNfFWxXUT8D3g52maa0gHzlrlXG/6iLiXLLncD/yI7BHY9TxB9hTTHwGfSmVT7UqyJ8BWVqn9PXBcKuO/TtsG2StBZyvrPLAj8E/APWTvWSiyH1wE/FjSbRXDrgLuiohnC8xvbeKnzprVIGkSWaPvLh0OZchI+hbZNl3T6VgakXQD2ZsF/Za8EvGVhZmVgqSxkh4GVjtRlI+vLMzMLJevLMzMLJeThZmZ5XKyMDOzXE4WZmaWy8nCzMxy/T/shnCeEKdjwQAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "\n",
+ "for n_voters in df['number-of-voters'].unique():\n",
+ " df_qv = df[(df['number-of-voters'] == n_voters) & (df['voting-mechanism'] == \"QV\")].sort_values('variance-of-perceived-pivotality')\n",
+ " df_1p1v = df[(df['number-of-voters'] == n_voters) & (df['voting-mechanism'] == \"1p1v\")]\n",
+ " plt.plot(df_qv['variance-of-perceived-pivotality'], df_qv['wellfare-loss'], 'o')\n",
+ " plt.plot(df_1p1v['variance-of-perceived-pivotality'], df_1p1v['wellfare-loss'], 'o')\n",
+ " plt.xlabel('variance of percieved pivotality')\n",
+ " plt.ylabel('wellfare loss')\n",
+ " plt.title('wellfare loss vs perceived pivotality, n_voters={}; $\\mu$=0'.format(n_voters))\n",
+ " plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "# Wellfare Loss Prop 8 Calibration\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "## The Data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 97,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": [
+ "df8 = pd.read_csv('2020.02.07 - QVoting-NormalizedPivotality 1p1v-vs-QV-prop8-mean>0.csv')\n",
+ "df8.rename(columns={'variance-of-perceived-pivotality': 'variance-of-pmp'}, inplace=True)\n",
+ "df8['wellfare-loss'] = 1 - df8['mean payoff-sign-list']\n",
+ "df8_1p1v = df8[(df8['voting-mechanism'] == \"1p1v\")]\n",
+ "df8_QV = df8[(df8['voting-mechanism'] == \"QV\")]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 69,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " [run number] \n",
+ " number-of-voters \n",
+ " calibration \n",
+ " marginal-pivotality \n",
+ " variance-of-pp \n",
+ " voting-mechanism \n",
+ " [step] \n",
+ " mean payoff-sign-list \n",
+ " mean payoff-list \n",
+ " standard-deviation payoff-list \n",
+ " mean vote-sum-list \n",
+ " standard-deviation vote-sum-list \n",
+ " mean mean-median-same-sign-list \n",
+ " wellfare-loss \n",
+ " \n",
+ " \n",
+ " \n",
+ " \n",
+ " 0 \n",
+ " 1 \n",
+ " 11 \n",
+ " 1. prop8-mean>0 \n",
+ " 0.5 \n",
+ " 0.0000 \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.787 \n",
+ " 1.513758 \n",
+ " 3.798378 \n",
+ " -0.346000 \n",
+ " 3.372189 \n",
+ " 0.787 \n",
+ " 0.213 \n",
+ " \n",
+ " \n",
+ " 1 \n",
+ " 2 \n",
+ " 11 \n",
+ " 1. prop8-mean>0 \n",
+ " 0.5 \n",
+ " 0.0000 \n",
+ " QV \n",
+ " 1000 \n",
+ " 1.000 \n",
+ " 2.586638 \n",
+ " 3.359160 \n",
+ " 0.602044 \n",
+ " 2.032860 \n",
+ " 0.780 \n",
+ " 0.000 \n",
+ " \n",
+ " \n",
+ " 2 \n",
+ " 3 \n",
+ " 11 \n",
+ " 1. prop8-mean>0 \n",
+ " 0.5 \n",
+ " 0.0003 \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.759 \n",
+ " 1.539862 \n",
+ " 4.396764 \n",
+ " -0.608000 \n",
+ " 3.249753 \n",
+ " 0.759 \n",
+ " 0.241 \n",
+ " \n",
+ " \n",
+ " 3 \n",
+ " 4 \n",
+ " 11 \n",
+ " 1. prop8-mean>0 \n",
+ " 0.5 \n",
+ " 0.0003 \n",
+ " QV \n",
+ " 1000 \n",
+ " 0.985 \n",
+ " 2.585631 \n",
+ " 3.256052 \n",
+ " 0.653345 \n",
+ " 1.982123 \n",
+ " 0.770 \n",
+ " 0.015 \n",
+ " \n",
+ " \n",
+ " 4 \n",
+ " 5 \n",
+ " 11 \n",
+ " 1. prop8-mean>0 \n",
+ " 0.5 \n",
+ " 0.0010 \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.805 \n",
+ " 1.477022 \n",
+ " 3.996354 \n",
+ " -0.342000 \n",
+ " 3.347573 \n",
+ " 0.805 \n",
+ " 0.195 \n",
+ " \n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " [run number] number-of-voters calibration marginal-pivotality \\\n",
+ "0 1 11 1. prop8-mean>0 0.5 \n",
+ "1 2 11 1. prop8-mean>0 0.5 \n",
+ "2 3 11 1. prop8-mean>0 0.5 \n",
+ "3 4 11 1. prop8-mean>0 0.5 \n",
+ "4 5 11 1. prop8-mean>0 0.5 \n",
+ "\n",
+ " variance-of-pp voting-mechanism [step] mean payoff-sign-list \\\n",
+ "0 0.0000 1p1v 1000 0.787 \n",
+ "1 0.0000 QV 1000 1.000 \n",
+ "2 0.0003 1p1v 1000 0.759 \n",
+ "3 0.0003 QV 1000 0.985 \n",
+ "4 0.0010 1p1v 1000 0.805 \n",
+ "\n",
+ " mean payoff-list standard-deviation payoff-list mean vote-sum-list \\\n",
+ "0 1.513758 3.798378 -0.346000 \n",
+ "1 2.586638 3.359160 0.602044 \n",
+ "2 1.539862 4.396764 -0.608000 \n",
+ "3 2.585631 3.256052 0.653345 \n",
+ "4 1.477022 3.996354 -0.342000 \n",
+ "\n",
+ " standard-deviation vote-sum-list mean mean-median-same-sign-list \\\n",
+ "0 3.372189 0.787 \n",
+ "1 2.032860 0.780 \n",
+ "2 3.249753 0.759 \n",
+ "3 1.982123 0.770 \n",
+ "4 3.347573 0.805 \n",
+ "\n",
+ " wellfare-loss \n",
+ "0 0.213 \n",
+ "1 0.000 \n",
+ "2 0.241 \n",
+ "3 0.015 \n",
+ "4 0.195 "
+ ]
+ },
+ "execution_count": 69,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df8[0:5]"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "## Wellfare Loss of 1p1v and QV vs number of voters on one graph (for paper)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 99,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": [
+ "adf_1p1v = df8_1p1v.groupby(['number-of-voters']).aggregate('mean').reset_index()\n",
+ "adf_1p1v['voting-mechanism'] = \"1p1v\"\n",
+ "adf_1p1v['PMP-color'] = 'NA'\n",
+ "\n",
+ "pdf_qv = df8_QV[df8_QV['variance-of-pmp'].isin([0.0003, 0.02, 0.083])].copy()\n",
+ "pdf_qv['PMP-color'] = pdf_qv['variance-of-pmp'].apply(lambda x: \"=\" + str(x))\n",
+ "\n",
+ "\n",
+ "\n",
+ "# QV RDRM voters\n",
+ "df10 = pd.read_csv('2020.07.10 QV-right-direction-random-magnitude-prop8.csv')\n",
+ "df10['wellfare-loss'] = 1 - df10['mean payoff-sign-list']\n",
+ "df10['PMP-color'] = 'QV-RDRM'\n",
+ "df10 = df10[pdf_qv.columns]\n",
+ "\n",
+ "#\n",
+ "\n",
+ "cdf = pdf_qv.append(df10, sort=False)\n",
+ "cdf = cdf.append(adf_1p1v, sort=False).reset_index()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 100,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "f, ax1 = plt.subplots(figsize=(4, 3))\n",
+ "sns.scatterplot(x=\"number-of-voters\",\n",
+ " y=\"wellfare-loss\",\n",
+ " style='voting-mechanism',\n",
+ " data=cdf,\n",
+ " hue='PMP-color',\n",
+ " ax=ax1)\n",
+ "\n",
+ "ax1.set(xscale=\"log\",ylim=(0,1))\n",
+ "ax1.set_xlabel(\"Number of Voters (log scale)\", fontsize=12)\n",
+ "ax1.set_ylabel('Prop8 WL', fontsize=12)\n",
+ "ax1.tick_params(labelsize=10)\n",
+ "\n",
+ "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
+ "plt.savefig(\"figures/sQV_WL_vs_n_voters_prop8.png\", bbox_inches='tight', dpi=300)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "## Wellfare Loss of 1p1v vs number of voters"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 114,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Get mean across all data for same number of voters, since marginal pivotality doesn't matter for 1p1v\n",
+ "adf = df8_1p1v.groupby(['number-of-voters']).aggregate('mean').reset_index()\n",
+ "\n",
+ "# Plots\n",
+ "f, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 5))\n",
+ "sns.scatterplot(x=\"number-of-voters\", \n",
+ " y=\"wellfare-loss\",\n",
+ " data = adf,\n",
+ " ax=ax1)\n",
+ "\n",
+ "sns.scatterplot(x=\"number-of-voters\", \n",
+ " y=\"wellfare-loss\",\n",
+ " data = adf,\n",
+ " ax=ax2)\n",
+ "ax2.set(xscale=\"log\", xlabel = \"number-of-voters (log scale)\")\n",
+ "ax1.set(ylim=(0,1.01))\n",
+ "ax2.set(ylim=(0,1.01))\n",
+ "f.suptitle('1p1v wellfare loss vs n_voters - Prop 8 calibration $\\mu>0$')\n",
+ "plt.savefig('foo.png')\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "## Wellfare loss of QV vs number of voters"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "### Single Graph with Three variance-of-pp values "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 71,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "pdf = df8_QV[df8_QV['variance-of-pp'].isin([0, 0.0003, 0.04, 0.083])]\n",
+ "f, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 5))\n",
+ "sns.scatterplot(x=\"number-of-voters\", y=\"wellfare-loss\",\n",
+ " hue='variance-of-pp',\n",
+ " palette=\"ch:r=-.2,d=.3_r\",\n",
+ " data=pdf, ax=ax1)\n",
+ "\n",
+ "sns.scatterplot(x=\"number-of-voters\", y=\"wellfare-loss\",\n",
+ " hue='variance-of-pp',\n",
+ " palette=\"ch:r=-.2,d=.3_r\",\n",
+ " data=pdf, ax=ax2)\n",
+ "ax2.set(xscale=\"log\", xlabel = \"number-of-voters (log scale)\")\n",
+ "\n",
+ "plt.setp(ax1.get_legend().get_texts(), fontsize='10') # for legend text\n",
+ "plt.setp(ax1.get_legend().get_title(), fontsize='10') # for legend title\n",
+ "plt.setp(ax2.get_legend().get_texts(), fontsize='10') # for legend text\n",
+ "plt.setp(ax2.get_legend().get_title(), fontsize='10') # for legend title\n",
+ "\n",
+ "f.suptitle(\"QV wellfare loss vs n voters\", y=1)\n",
+ "\n",
+ "f.tight_layout()\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "### Separate Graphs for Each Variance-of-pp value"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 51,
+ "metadata": {
+ "hidden": true,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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V7avXNHKdFixZwar21ZXelZnVkEZov6rF7aJZ7Wvkh0D6xaCWgYwaNuRNaaOGDWFQy8CcamRmli+3i2a1zwFgHw0fOogrjmtd09h13usyfOignGtmZpYPt4tmtS/XLuBGMGCA2GnLjbj1k3uzqn01g1oGMnzoIN/obGZNy+2iWe1zAFgBAwaIERsNzrsaZmY1w+2iWW1zF7CZmZlZk3EAaGZmZtZk3AVcAR0dweLlq3yvi5nVHbdfZs3JAWAfecR7M6tXbr/Mmpe7gPvII96bWb1y+2XWvBwA9pFHvDezeuX2y6x5OQDsI494b2b1yu2XWfNyANhHHvHezOqV2y+z5uWHQPrII96bWb1y+2XWvBwAVoBHvDezeuX2y6w5uQvYzMzMrMk4ADQzMzNrMrkGgJIOkDRH0lxJZ5dYP1jSzWn9fZJGp/ThkmZIekXSJUXb3JXKvD+9tuiurEppb+/g6ZdW8NTi5Tz90gra2zsqWbyZ1aBGasPqSUdHsGjZShYueZVFy1bS0RFV2caskeV2D6CkgcClwH7AAmCmpGkR8XBBtpOAJRGxg6RJwIXAEcBrwJeAXdKr2NER0VaU1lVZfdbe3sGjzy3j1BtmrRlN/7JjxvO2LTeipcUXWc0aUSO1YfWkN7OXeMYTs7XlGZ3sCcyNiHkRsQq4CZhYlGcicG16PxWYIEkRsTwi/kTWiJarZFm9r/4bnn9l5ZrgD7KBVE+9YRbPv7KyEsWbWW1qmDasnvRm9hLPeGK2tjwDwJHA/ILlBSmtZJ6IaAeWAsPLKPvq1HXypYIGsqyyJJ0iqU1S26JFi8o6kNdXd5QcTb99tbuBzRpYw7Rh9aQ3s5d4xhOztTVi/+TREfF24L3pdWxPNo6IyyOiNSJaR4wYUdY26w0cUHI0/ZaBjXh6zazK+r0Nqye9mb3EM56YrS3PCGUhsE3B8qiUVjKPpBZgE2Bxd4VGxML07zLgJ2TdNL0qq1xbbDiYy44Z/6bR9C87ZjxbbOixtcwaWMO0YfWkN7OXeMYTs7XlORD0TGCspDFkDdsk4KiiPNOA44F7gMOAOyOiy0e3UqO4aUS8IGk94MPA73pTVk+0tAzgbVtuxJSPv4v21R20DBzAFhsO9gMgZo2tYdqwetKb2Us844nZ2nILACOiXdJpwO3AQOCqiHhI0vlAW0RMA64Erpc0F3iRrIEFQNKTwMbAIEkfBT4APAXcnhrOgWQN5xVpky7LqoSWlgFsvemQdWc0s4bQaG1YPenN7CWe8cTszdSEPyDL1traGm1txSMxmFkjkzQrIlrzrkcluA0zay49ab/cR2lmZmbWZPK8B7ChdHQEi5ev8v0lZmZ1zG25NQsHgBXgUebNzOqf23JrJu4CrgCPMm9mVv/cllszcQBYAR5l3sys/rktt2biALACPMq8mVn9c1tuzcQBYAV4lHkzs/rnttyaiR8CqQCPMm9mVv/cllszcQBYIR5l3sys/rktt2bhLmAzMzOzJuMA0MzMzKzJuAu4Qjx6vJlZ/twWm5XHAWAFePR4M7P8uS02K5+7gCvAo8ebmeXPbbFZ+RwAVoBHjzczy5/bYrPy5RoASjpA0hxJcyWdXWL9YEk3p/X3SRqd0odLmiHpFUmXFOTfQNKvJD0q6SFJ3yxYd4KkRZLuT6+PVeo4PHq8WfNplParkbgtNitfbgGgpIHApcCBwDjgSEnjirKdBCyJiB2Ai4ALU/prwJeAz5Uo+jsR8TZgd2BvSQcWrLs5InZLrx9V6lg8erxZc2mk9quRuC02K1+eD4HsCcyNiHkAkm4CJgIPF+SZCJyX3k8FLpGkiFgO/EnSDoUFRsSrwIz0fpWkvwKjqnoUePR4sybUMO1XI3FbbFa+PLuARwLzC5YXpLSSeSKiHVgKDC+ncEmbAh8B7ihIPlTSbElTJW3T24qX0jl6/MhhGzBio8FucMwaW0O1X43EbbFZeRryIRBJLcCNwMWdv9CBXwCjI2JXYDpwbRfbniKpTVLbokWL+qfCZmZJX9qvtL3bMDNbpzwDwIVA4a/YUSmtZJ7UKG4CLC6j7MuBxyLifzsTImJxRKxMiz8CxpfaMCIuj4jWiGgdMWJEWQdiZk2nJtuvlNdtmJmtU54B4ExgrKQxkgYBk4BpRXmmAcen94cBd0ZEdFeopK+TNbT/WZS+VcHiQcAjfaj7m3R0BC8uX8nCJa/yzxeX8/yy1+jo6LaaZlbfGqb9qiUdHcGiZVlbumjZyqq3o/29P7NakttDIBHRLuk04HZgIHBVRDwk6XygLSKmAVcC10uaC7xI1sgCIOlJYGNgkKSPAh8AXgbOBR4F/ioJ4JL0xNwZkg4C2lNZJ1TiODo6gicXL+e5l1/jv6bO9ujzZk2gUdqvWtLfs3h41hBrdlrHD9Km1traGm1tbd3mWbRsJQ8uXMqXfv7gmwYgHTVsCLd+cm9GbDS42tU0swqSNCsiWvOuRyWU04bVikXLVnLw9+/ut3a0v/dn1h960n415EMg/WlV+2o2GDTQo8+bmfVBf8/i4VlDrNk5AOyjQS0DeXXVao8+b2bWB/09i4dnDbFm5wCwj4YPHcR2wzfg24ft6tHnzcx6qb9n8fCsIdbsfA9gN8q9f6ajI3hpxSpWrFrN6oD11xvA5kM9AKlZPfI9gPnp6AgWL1/Vb7N49Pf+zKqtJ+1XnlPBNYwBA8RmQwfD0LxrYmZWvzpn8WjU/ZnVkrK6gCW9VdLg9H4fSWekqYrMzGra448/zsqV2RjKd911FxdffDEvvfRSzrUyM8tXufcA3gKsTpOXX042uv1PqlYrM7MKOfTQQxk4cCBz587llFNOYf78+Rx11FF5V8vMLFfldgF3pIFPDwa+FxHfk/S3alasHvl+ErPaM2DAAFpaWrj11ls5/fTTOf3009l9993zrpbVIbfx1kjKDQBfl3Qk2bRGH0lp61WnSvXJo8qb1ab11luPG2+8kWuvvZZf/OIXALz++us518rqjdt4azTldgFPBt4FXBART0gaA1xfvWrVn8XLV61pGCAbUPTk69pYvHxVzjUza25XX30199xzD+eeey5jxozhiSee4Nhjj827WlZn3MZboynrCmBEPAycASBpGLBRRFxYzYrVG48qb1abxo0bx8UXXwzAkiVLWLZsGWeddVbOtbJ64zbeGk25TwHfJWljSZsBfwWukPQ/1a1affGo8ma1aZ999uHll1/mxRdfZI899uDkk0/mzDPPzLtaVmfcxlujKbcLeJOIeBk4BLguIt4J7Fu9atUfjypvVpuWLl3KxhtvzE9/+lOOO+447rvvPn73u9/lXS2rM27jrdGU+xBIi6StgMOBc6tYn7o1YIDYacuNuPWTe/sJMbMa0t7ezjPPPMOUKVO44IIL8q6O1Sm38dZoyg0AzwduB+6OiJmStgceq1616pNHlTerPV/+8pfZf//92XvvvXnHO97BvHnzGDt2bN7VsjrkNt4aiecC7ka9zaNpZn3nuYDNrF71pP0q9yGQUZJulfR8et0iaVTfqgmSDpA0R9JcSWeXWD9Y0s1p/X2SRqf04ZJmSHpF0iVF24yX9EDa5mJJSumbSZou6bH077C+1t/Mat+CBQs4+OCD2WKLLdhiiy049NBDWbBgQUXKdhtmZvWq3IdArgamAVun1y9SWq9JGghcChwIjAOOlDSuKNtJwJKI2AG4COgceuY14EvA50oU/QPgZGBseh2Q0s8G7oiIscAdadnMGtzkyZM56KCDePrpp3n66af5yEc+wuTJk/tcrtswM6tn5QaAIyLi6ohoT69rgBF93PeewNyImBcRq4CbgIlFeSYC16b3U4EJkhQRyyPiT2SN6BrpQZWNI+LeyPq2rwM+WqKsawvSzayBLVq0iMmTJ9PS0kJLSwsnnHACixYtqkTRbsPMrG6VGwAulnSMpIHpdQywuI/7HgnML1hekNJK5omIdmApMHwdZRb27RSWuWVEPJPePwtsWaoASadIapPUVqEvCTPL0fDhw7nhhhtYvXo1q1ev5oYbbmD48O6akbK5DTOzulVuAHgi2RAwzwLPAIeRTQ9Xl9Iv65JPv0TE5RHRGhGtI0b09SKnmeXtqquuYsqUKbzlLW9hq622YurUqVx9dZ/uYMmd2zAz66typ4J7CjiowvteCGxTsDwqpZXKs0BSC7AJ3V95XJjKKVXmc5K2iohnUjfL832pvJnVh+22245p06ZVo2i3YWZWt7oNACV9jy5+ZQJExBl92PdMYKykMWQN3CTgqKI804DjgXvIrjreGd2MW5Maxpcl7QXcBxwHfK+orG+mf3/eh7qbWY07/fTTSQ/QltQ5P3AfuA0zs7q1riuAVRtAKiLaJZ1GNsD0QOCqiHhI0vlAW0RMA64Erpc0F3iRrIEFQNKTwMbAIEkfBT4QEQ8DnwSuAYYAv04vyBrNKZJOAp4i69I2swbV2lrdofzchplZPevxQNCS3hIRz1apPjXFg6iaNZZnn32Wt7zlLd3m8UDQZlavKj4QdJHberGNmVnuPvjBD+ZdBTOzmtCbANAzX5tZXfLUl2Zmmd4EgFdUvBZmZv3g5JNPzrsKZmY1oaxhYAAkvQcYGxHflzQC2DAinqhe1czMKuNPf/oTjz32GJ/85CdZtGgRr7zyCmPGjMm7WmZmuSnrCqCkrwBnAeekpPWAG6pVKTOzSvnqV7/KhRdeyDe+8Q0AXn/9dY455pica2Vmlq9yu4APJhsIejlARDwNbFStSpmZVcqtt97KtGnTGDp0KABbb701y5Yty7lWZmb5KjcAXFU49ZCkodWrkplZ5QwaNAhJawaFXr58ec41MjPLX7kB4BRJPwQ2lXQy8Dv8MIiZ1YHDDz+cj3/847z00ktcccUV7Lvvvn4YxMyaXrlzAX9H0n7Ay8BOwJcjYnpVa2ZmVgGf+9znmD59OhtvvDFz5szh/PPPZ7/99su7WmZmuVpnAChpIPC7iHgf4KDPzOrG6tWr2XfffZkxY4aDPjOzAuvsAo6I1UCHpE36oT5mZhUzcOBABgwYwNKlS/OuiplZTSl3HMBXgAckTSc9CQwQEWdUpVZmZhWy4YYb8va3v5399ttvzZPAABdffHGOtTIzy1e5AeBP08vMrK4ccsghHHLIIXlXw8ysppT7EMi11a6ImVk1HH/88XlXwcys5pQVAEoaC3wDGAes35keEdtXqV5mZhXx2GOPcc455/Dwww/z2muvrUmfN29ejrUyM8tXueMAXg38AGgH3gdch6eCM7M6MHnyZD7xiU/Q0tLCjBkzOO644zwVnJk1vXIDwCERcQegiHgqIs4DPtTXnUs6QNIcSXMlnV1i/WBJN6f190kaXbDunJQ+R9L+KW0nSfcXvF6W9J9p3XmSFhas+2Bf629mtW/FihVMmDCBiGC77bbjvPPO41e/+lVFynYbZmb1qtyHQFZKGgA8Juk0YCGwYV92nMYXvBTYD1gAzJQ0LSIeLsh2ErAkInaQNAm4EDhC0jhgErAzsDXwO0k7RsQcYLeC8hcCtxaUd1FEfKcv9Taz+jJ48GA6OjoYO3Ysl1xyCSNHjuSVV17pc7luw8ysnpV7BfDTwAbAGcB44Bigr3dW7wnMjYh5EbEKuAmYWJRnItD5AMpUYIKyCT0nAjdFxMqIeAKYm8orNAF4PCKe6mM9zayOffe73+XVV1/l4osvZtasWdxwww1ce21FnmtzG2ZmdavbAFDS9entuyPilYhYEBGTI+LQiLi3j/seCcwvWF6Q0krmiYh2YCkwvMxtJwE3FqWdJmm2pKskDStVKUmnSGqT1LZo0aKeHI+Z1ZBjjz0WgD//+c9suOGGjBo1iquvvppbbrmFvfbaqxK7cBtmZnVrXVcAx0vaGjhR0jBJmxW++qOCvSFpEHAQ8H8FyT8A3krWvfIM8P9KbRsRl0dEa0S0jhgxoup1NbPqmDVrFk8//TRXXXUVS5Ys4cUXX3zTq5a5DTOzalvXPYCXAXcA2wOzABWsi5TeWwuBbQqWR6W0UnkWSGoBNgEWl7HtgcBfI+K5NZUteC/pCuCXfai7mdW4U089lQkTJjBv3jzGjx9PRKxZJ6kSw8C4DTOzutXtFcCIuDgi/gW4KiK2j4gxBa++jgE4ExgraUwlZBBXAAAeUUlEQVT6tTsJmFaUZxpv3Gt4GHBnZK34NGBSesJuDDAW+EvBdkdS1HUiaauCxYOBB/tYfzOrYWeccQaPPPIIJ554IvPmzeOJJ55Y86rQGIBuw8ysbnV7BbCgm/fcUl2+EdHrfpSIaE9PFN8ODCQLMh+SdD7QFhHTgCuB6yXNBV4ka2BJ+aYAD5ONTfipiFid6jyU7Km8jxft8luSdiO7cvlkifVm1kA6u3kvuOCCkl2+m23Wt7tY3IaZWT1TYbfIWiulJ8gaG3hz9y9ANPpMIK2trdHW1pZ3NcysF8aMGUP2wC0Ut3PddQFLmhURrVWvYD9wG2bWXHrSfnV7BTAixlSmSmZm/euJJ57IuwpmZjVrXV3Ae3S3PiL+WtnqmJlVxl//2n3ztMce3TZvZmYNbV1PAZccZiAJ4P0VrIuZWcV89rOf7XKdJO68885+rI2ZWW1ZVxfw+/qrImZmlTRjxoy8q2BmVrPKmgpO0gaSvijp8rQ8VtKHq1s1M7O+e/XVV/n617/OKaecAsBjjz3GL3/pIfTMrLmVOxfw1cAq4N1peSHw9arUyMysgiZPnsygQYP485//DMDIkSP54he/mHOtzMzyVW4A+NaI+BbwOkBEvMraw8KYmdWcxx9/nM9//vOst956AGywwQZrDQtjZtZsyg0AV0kaQhoTUNJbgZVVq5WZWYUMGjSIFStWrBkT8PHHH2fw4ME518rMLF/regq401eA3wDbSPoxsDdwQrUqZWZWKV/96lc54IADmD9/PkcffTR3330311xzTd7VMjPLVbkB4PHAr4CpwDzg0xHxQtVqZWZWIddeey0f+tCHOOyww9h+++357ne/y+abb553tczMclVuAHgl8F6y+SnfCvxN0h8i4rtVq5mZWQWcdNJJ/PGPf2T69Ok8/vjj7L777vzbv/0bn/70p/OumplZbrqdC/hNGaWBwDuA9wGnAisi4m1VrFvuPI+mWWNYvXo1M2fOZMaMGVx22WUMGTKERx99tGRezwVsZvWqYnMBFxR4BzAUuAf4I/COiHi+91U0M+sfEyZMYPny5bzrXe/ive99LzNnzmSLLbbIu1pmZrkq9yng2WTjAO4C7Arskp4KNjOrabvuuiuDBg3iwQcfZPbs2Tz44IOsWLEi72qZmeWqrCuAEfEZAEkbkT39ezXwFsBjKZhZTbvooosAWLZsGddccw2TJ0/m2WefZeVKj2RlZs2r3KngTpN0M/A3YCJwFXBgX3cu6QBJcyTNlXR2ifWDJd2c1t8naXTBunNS+hxJ+xekPynpAUn3S2orSN9M0nRJj6V/h/W1/mZW+y655BKOOOIIdt99d37+859z4okn8utf/7oiZbsNM7N6Ve5TwOsD/wPMioj2Suw4PVRyKdmTxQuAmZKmRcTDBdlOApZExA6SJgEXAkdIGgdMAnYGtgZ+J2nHiFidtntfiWFqzgbuiIhvpob6bOCsShyLmdWu1157jTPPPJPx48fT0lJuk7dubsPMrJ6VdQUwIr4TEfdVKvhL9gTmRsS8iFgF3ER2dbHQRODa9H4qMEHZcP4TgZsiYmVEPAHMTeV1p7Csa4GPVuAYzKzGfe5zn+Od73xnRYO/xG2YmdWtch8CqYaRwPyC5QUprWSeFHwuBYavY9sAfitplqRTCvJsGRHPpPfPAltW4iDMrGm5DTOzulXxn8Q14D0RsVDSFsB0SY9GxB8KM0RESCo5AGJqcE8B2HbbbatfWzOzN3MbZmZVl+cVwIXANgXLo1JayTySWoBNgMXdbRsRnf8+D9zKG90qz0naKpW1FVByHMOIuDwiWiOidcSIEb0+ODNreG7DzKxu5RkAzgTGShojaRDZDdHTivJMI5uHGOAw4M7Ipi6ZBkxKT9iNAcYCf5E0NA1Vg6ShwAeAB0uUdTzw8yodl5k1B7dhZla3cusCjoh2SacBtwMDgasi4iFJ5wNtETGNbA7i6yXNBV4ka2BJ+aYADwPtwKciYrWkLYFbs3usaQF+EhG/Sbv8JjBF0knAU8Dh/XawZtZw3IaZWT0rey7gZuR5NM2aj+cCNrN61ZP2K88uYDMzMzPLgQNAMzMzsybTiMPA5K6jI1i8fBWr2lczqGUgw4cOYsAA5V0tMzOrYf7usP7kALDCOjqCOc8t4+Tr2liwZAWjhg3hiuNa2WnLjfyHbGZmJfm7w/qbu4ArbPHyVWv+gAEWLFnByde1sXj5qpxrZmZmtcrfHdbfHABW2Kr21Wv+gDstWLKCVe2ru9jCzMyanb87rL85AKywQS0DGTVsyJvSRg0bwqCWgTnVyMzMap2/O6y/OQCssOFDB3HFca1r/pA77+MYPnRQzjUzM7Na5e8O629+CKTCBgwQO225Ebd+cm8/yWVmZmXxd4f1NweAVTBggBix0eC8q2FmZnXE3x3Wn9wFbGZmZtZkHACamZmZNRl3AVdZ58juHR0drA6ICN/bYWZmFVHu7CGeZcSKOQCsos6R3S+aPofj3z2Gs26Z7RHezcysIsqdPcSzjFgp7gKuos6R3Q8dv82a4A88wruZmfVdubOHeJYRK8UBYBV1juy+6ZD1PMK7mZlVVLmzh3iWESsl1wBQ0gGS5kiaK+nsEusHS7o5rb9P0uiCdeek9DmS9k9p20iaIelhSQ9J+nRB/vMkLZR0f3p9sNrH1zmy+0srXvcI72YNqNHbMKtt5c4e4llGrJTcAkBJA4FLgQOBccCRksYVZTsJWBIROwAXARembccBk4CdgQOA76fy2oHPRsQ4YC/gU0VlXhQRu6XXbVU8POCNkd1vmTWfCw/d1SO8mzWQZmjDrLaVO3uIZxmxUvJ8CGRPYG5EzAOQdBMwEXi4IM9E4Lz0fipwiSSl9JsiYiXwhKS5wJ4RcQ/wDEBELJP0CDCyqMx+0zmy+wUH70pHRwdTPv4uPwVs1jgavg2z2lbu7CGeZcRKyTMAHAnML1heALyzqzwR0S5pKTA8pd9btO3Iwg1TV8vuwH0FyadJOg5oI/uVvaS4UpJOAU4B2HbbbXt6TGvxyO5mDasp2jCrbeV+x/i7yIo15EMgkjYEbgH+MyJeTsk/AN4K7Eb2C/v/ldo2Ii6PiNaIaB0xYkS/1NfMrJDbMDOrtjwDwIXANgXLo1JayTySWoBNgMXdbStpPbKG88cR8dPODBHxXESsjogO4Aqy7pua0NERLFq2koVLXmXRspV0dETeVTKzdXMbZk3J31mNIc8AcCYwVtIYSYPIboieVpRnGnB8en8YcGdEREqflJ6wGwOMBf6S7q25EngkIv6nsCBJWxUsHgw8WPEj6oXOAToP/v7d7H3hDA7+/t3MeW6Z/6DMap/bMGs6/s5qHLkFgBHRDpwG3A48AkyJiIcknS/poJTtSmB4ukH6TODstO1DwBSyG6N/A3wqIlYDewPHAu8vMVTCtyQ9IGk28D7gM/1zpN3zAJ1m9cltmDUjf2c1jlyngkvDGNxWlPblgvevAf/RxbYXABcUpf0JKPlYU0Qc29f6VoMH6DSrX27DrNn4O6txNORDIPXEA3SamVm98HdW43AAmDMP0GlmZvXC31mNI9cuYPMAnWZmVj/8ndU4HADWAA/QaWZm9cLfWY3BXcBmZmZmTcYBoJmZmVmTcRdwTjo6gsXLV/keCjMzq1n+rmpcDgBz0DmSeudgmp1PUe205Ub+wzIzs5rg76rG5i7gHHgkdTMzq3X+rmpsDgBz4JHUzcys1vm7qrE5AMyBR1I3M7Na5++qxuYAMAceSd3MzGqdv6samx8CyYFHUjczs1rn76rG5gAwJx5J3czMap2/qxqXu4DNzMzMmowDQDMzM7Mmk2sAKOkASXMkzZV0don1gyXdnNbfJ2l0wbpzUvocSfuvq0xJY1IZc1OZudzF2tERLFq2koVLXmXRspV0dMRa655buoKnX1rBwiWv8uLylTy/7LWS+a3yuvt8rL70x2fZjG2YNZ6+/q0Ub9/e3tHtcqO0q9VuY6pdfm73AEoaCFwK7AcsAGZKmhYRDxdkOwlYEhE7SJoEXAgcIWkcMAnYGdga+J2kHdM2XZV5IXBRRNwk6bJU9g+qf6Rv6G5UdYA5zy3joulzOP7dYzjrltmM2HAwnz9gJ/5r6myPwt4PPOp94+iPz7IZ2zBrPH39Wyne/gPjtuCMCTty6g2zSi43Srta7TamP9qwPK8A7gnMjYh5EbEKuAmYWJRnInBtej8VmCBJKf2miFgZEU8Ac1N5JctM27w/lUEq86NVPLaSuhtVvXPdoeO34axbsoDv1H3euib4K85vledR7xtHP32WTdeGWePp699K8faHjt9mTbBXarlR2tVqtzH90YblGQCOBOYXLC9IaSXzREQ7sBQY3s22XaUPB15KZXS1LwAknSKpTVLbokWLenFYXetuVPXOdZsOWW9NnsL3xfmt8jzqfePop8+y6dowazx9/Vsp3r74e6tRv8eq3cb0Rxvmh0CKRMTlEdEaEa0jRoyoaNndjareue6lFa+vyVP4vji/VZ5HvW8czfxZVrMNs8bT17+V4u2Lv7ca9Xus2m1Mf7RheQaAC4FtCpZHpbSSeSS1AJsAi7vZtqv0xcCmqYyu9lV13Y2q3rnullnzufDQXRk1bAiX3fU43z5sV4/C3k886n3j6KfPsunaMGs8ff1bKd7+llnzueyY8V0uN0q7Wu02pj/aMEXk8zROasj+AUwga8hmAkdFxEMFeT4FvD0iTk03UB8SEYdL2hn4Cdn9MlsDdwBjAXVVpqT/A24puIF6dkR8v7s6tra2RltbW0WPu6MjWLx8VclR1TvXdXR0sDogIhgyaCDtHcHr7R0ehb0fdPf5WH3p7WcpaVZEtJaRrynbMGs8fW33ircfNmQ9lqx4vcvlRmlXq/190Zvyy22/IMengCOiXdJpwO3AQOCq1MidD7RFxDTgSuB6SXOBF8memiPlmwI8DLQDn4qI1QClyky7PAu4SdLXgb+lsvtdd6Oqe8T1/PkzaBzV/iybtQ2zxtPXv5VS269ruRFUu42pdvm5XQGsB/71bNZ8evILuta5DTNrLj1pv/wQiJmZmVmTcQBoZmZm1mQcAJqZmZk1GQeAZmZmZk3GAaCZmZlZk3EAaGZmZtZkHACamZmZNRkHgGZmZmZNxgGgmZmZWZNxAGhmZmbWZBwAmpmZmTUZB4BmZmZmTcYBoJmZmVmTcQBoZmZm1mQcAJqZmZk1mVwCQEmbSZou6bH077Au8h2f8jwm6fiC9PGSHpA0V9LFkpTSvy3pUUmzJd0qadOUPlrSCkn3p9dl/XOkZtaI3IaZWb3L6wrg2cAdETEWuCMtv4mkzYCvAO8E9gS+UtDI/gA4GRibXgek9OnALhGxK/AP4JyCIh+PiN3S69QqHJOZNQ+3YWZW1/IKACcC16b31wIfLZFnf2B6RLwYEUvIGsYDJG0FbBwR90ZEANd1bh8Rv42I9rT9vcCoah6EmTUtt2FmVtfyCgC3jIhn0vtngS1L5BkJzC9YXpDSRqb3xenFTgR+XbA8RtLfJP1e0nt7XXMzM7dhZlbnWqpVsKTfAW8psercwoWICElR4X2fC7QDP05JzwDbRsRiSeOBn0naOSJeLrHtKcApafEVSXN6sOvNgRf6UPW8uN79y/XuXz2t93bQMG3Ya5IeKli9CbC0YLman2nxviq9XXf5erquOG1dyz5vpdN83spbV83ztl2Z+SAi+v0FzAG2Su+3AuaUyHMk8MOC5R+mtK2AR7vJdwJwD7BBN/u/C2itwnG15XE+Xe/6erne9V/vemnDgMvXsVy1z7R4X5Xerrt8PV1XxnnyefN5a7jzllcX8DSg84m444Gfl8hzO/ABScPSjdMfAG6PrNvlZUl7pSfnjuvcXtIBwOeBgyLi1c6CJI2QNDC9357sput51Tk0M2sC9dKG/WIdy9XU232Vu113+Xq6bl3nyefN563hzptSdNmvJA0HpgDbAk8Bh0fEi5JagVMj4mMp34nAF9JmF0TE1Sm9FbgGGEJ2j8zpERGS5gKDgcVpm3sj4lRJhwLnA68DHcBXIqLiJ1hSW0S0VrrcanO9+5fr3b+qUe9GacPq9TPNm89b7/i89U61zlsuAWCjknRKRFyedz16yvXuX653/6rXevcHn5ve8XnrHZ+33qnWeXMAaGZmZtZkPBWcmZmZWZNxAFgBkg6QNCdN67TWjAA51GcbSTMkPSzpIUmfTuklp69S5uJU/9mS9igoq+RUVlWu/8A03tkv0/IYSfel+t0saVBKH5yW56b1owvKOCelz5G0fz/UeVNJU5VN4/WIpHfVw/mW9Jn0f+RBSTdKWr9Wz7ekqyQ9L+nBgrSKnWN1MT2bmVlDqsajxc30AgYCjwPbA4OAvwPjcq7TVsAe6f1GZFNKjQO+BZyd0s8GLkzvP0h2I7qAvYD7UvpmZE8abgYMS++H9UP9zwR+AvwyLU8BJqX3lwGfSO8/CVyW3k8Cbk7vx6XPYTAwJn0+A6tc52uBj6X3g4BNa/18kw0+/AQwpOA8n1Cr5xv4N2AP4MGCtIqdY+AvKa/StgdW+/+6X3755VdeL18B7Ls9gbkRMS8iVgE3kU0TlZuIeCYi/preLwMeIfuy72r6qonAdZG5F9hU2XRVJaeyqmbdJY0CPgT8KC0LeD8wtYt6dx7PVGBCyj8RuCkiVkbEE8Bcss+pWnXehCw4uRIgIlZFxEvUwfkmGwx+iKQWYAOyAYdr8nxHxB+AF4uSK3KO1c30bM1E0vaSrpQ0dd25rZOkj0q6Il0h/0De9akHkv5F0mWp5+QTedennkgaKqlN0of7Uo4DwL7rarqnmpC66XYH7qPr6au6m7Kqv4/tf8nGQetIy8OBl+KN+VEL67Cmfmn90pS/v+s9BlgEXJ26rn8kaSg1fr4jYiHwHeCfZIHfUmAWtX++C1XqHJc7PVvdKdV1ntLXunUl/ZA9KZ+a1pYenrefRcTJwKnAEXnUtxb08Jw9EhGnAocDe+dR31rRk/OWnEXWU9MnDgAbmKQNgVuA/4yiKaPSVY6aegQ8/Zp5PiJm5V2XHmoh65r8QUTsDiwn645co0bP9zCyK2VjgK2BoVT/imPV1OI5rhHXUPS5KhtU+lLgQLIu/CMljev/qtW0a+j5eftiWt+srqEH50zSQcCvgNv6t5o15xrKPG+S9gMeBp7v604dAPbdQmCbguVRKS1XktYjC/5+HBE/TcnPpa4u0r+d/4G6Oob+Pra9gYMkPUnWlf5+4Ltk3Xed81YX1mFN/dL6TcgG0O3vei8AFkTEfWl5KllAWOvne1/giYhYFBGvAz8l+wxq/XwXqtQ5XpjeF6fXvS66zmvu1pVa05Pzlh46uhD4deftN82op//XImJaRBwIHN2/Na0tPTxv+5Ddq3wUcLKkXsdxDgD7biYwVtmTk4PIbo6flmeF0n1ZVwKPRMT/FKzqavqqacBxqRHbC1iautVKTmVVrXpHxDkRMSoiRpOdxzsj4mhgBnBYF/XuPJ7DUv5I6ZOUPbU6hmzarL9Usd7PAvMl7ZSSJpD9Qqvp803W9buXpA3S/5nOetf0+S5SkXMc3UzP1qBKdoVLGi7pMmB3SefkU7Wa1tUtBKeT/aA6TNKpeVSshnX1f20fZU/b/xBfASyl5HmLiHMj4j/JHpS8IiI6Sm5dhpZ1Z7HuRES7pNPIvlgGAldFxEM5V2tv4FjgAUn3p7QvAN8Epkg6iTR9VVp3G9lTk3OBV4HJAJFNbfU1siAX4PyIKP6V0h/OAm6S9HXgb6SHLdK/1yubPutFsqCRiHhI0hSyYKYd+FRErK5yHU8Hfpx+BMwjO4cDqOHzHRH3KbvZ/69k5+lvwOVkXTI1d74l3Uj263dzSQuAr1DZ/9Of5M3Ts/260sdQ6yJiMdl9bNYDEXExcHHe9agnEXEXcFfO1ahbEXFNX8vwTCBmZg0uPQz2y4jYJS2/CzgvIvZPy+cARMQ38qpjLfJ56zmfs97J47y5C9jMrPnU3K0rdcLnred8znqn6ufNAaCZWQNLXef3ADtJWiDppDSMT+etK48AU2rg1pWa4vPWcz5nvZPXeXMXsJmZmVmT8RVAMzMzsybjANDMzMysyTgAtIYg6S5Jrf2wnxGS7lM25dt7+1jWPpLeXam6mZmZlcsBoDW9glkvyjEBeCAido+IP/Zx1/sAPQoAe1hXMzOzkhwAWr+SNFrSI5KukPSQpN9KGlJ4BU/S5sqmg0PSCZJ+Jmm6pCclnSbpzHQF7l5JmxUUf6yk+yU9KGnPtP1QZRNt/yVtM7Gg3GmS7gTu6KKed0qaLekOSdtK2g34FtnUT/dLGlK0zb2Sdi5YvktSq6TN0jHMTnl2TWM+nQp8JpX13nR18RZJM9Nr71TOeZKul3Q32UDMO6fjuT+VObZSn4+ZmTUHB4CWh7HApRGxM/AScOg68u8CHAK8A7gAeDUidid7bP64gnwbRMRuZDM6XJXSziWbsmxP4H3AtyUNTev2AA6LiH8vsc/vAddGxK7Aj4GLI+J+4MvAzRGxW0SsKNrmZtJMFMrmpd0qItqArwJ/S2V9AbguIp4ELgMuSmX9kWze44si4h3pnPyooOxxwL4RcSRZ4PjddKytZFMEmZmZlc0BoOXhiRRMAcwCRq8j/4yIWBYRi4ClwC9S+gNF294IaybW3ljSpmRzvZ6tbEq8u4D1gW1T/undTLX2LrK5FgGuB96z7sNiCm/MoXs4MDW9f08qg4i4ExguaeMS2+8LXJLqOi0dw4Zp3bSCgPMe4AuSzgK2KxGImlkf+J7itcpW6hHZOC2/Uo399EY5n5Wkm9xTsjYHgJaHlQXvV5PNSd3OG/8f1+8mf0fBcgdvns+6eFDLAAQcmq6y7RYR20bEI2n98s6Mki5IXar3UyZJB3duI6k1IhYCiyXtChxBdkWwJwYAexXUdWREdDa0a+oaET8BDgJWALdJen8P92NmVdKg9xR/EPh7RLzc00rViB8An8+7ErXGAaDViieB8en9Yd3k684RAJLeAyyNiKVko6ifLklp3e6lNoyIczsDr5T0Z7KpdwCOBtZqnCPi1oJgrS0l30zW0GwSEbNT2h9TGUjaB3ghNaTLgI0KivwtcHrnQrrncC2StgfmpQnofw7s2sX5MGtYXd1PnNb5nuLK3lN8NFlbU3xckvTtdI4ekNTZBg+Q9H1Jj6ZzfZuktdp1SWdIejjt96aUtqGkq1N5syUdmtJ/IKktfdZfLVFHJH1A0j2S/irp//RGD8ofgX17GJw3PAeAViu+A3xC0t+AzXtZxmtp+8uAk1La14D1gNmSHkrL5TgdmCxpNnAs8Okyt5tKFjhOKUg7DxifyvomcHxK/wXQeRXxvcAZQGtq9B4ma9BLORx4MF2t3AW4rsy6mTWant5PDL6nGHp+T/HeZLfrFDsE2A34V7JbWL6d6noI2e0548jaz3eV2BbgbGD3dCyd7d2XyH7Avz2l35nSz42IVrIfvP+eelrWkLQ58MV0XHsAbcCZABHRAcxN9bTE0bD1q9RQ7VKw/J2C1YV/0F9M668BrinIP7rg/Zp1EbFPF/tbAXy8RPqbyi2x/ilgra7VMrZ7jqK/q3Sf4UdL5P0Ha1+9O6JEvvOKlr9JFkiaNbue3k8M6Z5iYJmk4nuKC/8e19xTLKnwnuKDJH0u5enJPcWHpPfXk135W5cpZL0CX2Hte4oPTXW7U1J39xSPS50f0P09xedKGgX8NCIeK1HWZumcFXsPcGNErAaek/R7ssD6PcD/pcDrWUkzujjG2cCPJf0M+FlBvTt7X4iIJent4ZJOIWtftyILLmcXlLVXSrs7HfOgdGydnge2pnQg25R8BdDMzOpVqfuJwfcUQ2XvKW6XVI144UPApWRXT2d21UUraQzwOWBCuir4K9b+XEUWhHce77iIOKlg/fpkx2iJA0AzM2s0T+J7iit5T/EcYPsS6X8EjpA0UNII4N+AvwB3A4emewG3JHtApXi/A4BtImIGcBawCbAhMB34VEG+YcDGZEHr0lTegSXqci+wt6Qd0nZDJe1YsH5H4MFS56BZOQA0M7NG43uKK3tP8a8oEcQBt5J1w/6d7F69z0fEs8AtZPcSPgzcAPyVbAivQgOBGyQ9APyN7L7Il4CvA8PSgyV/B94XEX9PeR4lG57r7uKKpGHCTgBuTOfmHuBtACloXJHqZokiiq9ym5mZmWXSgx3XRcR+Pdhmw4h4RdJwsquCe+cVgEn6DPByRFyZx/5rlR8CMTMzsy5FxDPKhtvZuAdjAf4yPTgzCPhazlffXiINxm9v8BVAMzMzsybjewDNzMzMmowDQDMzM7Mm4wDQzMzMrMk4ADQzMzNrMg4AzczMzJqMA0AzMzOzJvP/ATMpAvtwINl4AAAAAElFTkSuQmCC\n",
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\n",
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+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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0ye20tKjeYZmZ1Y3zolm+NVWxNjgYrFi9jkVLuuju3cCsaR0sXtjJ3JlTnJjMrCk5L5rlX1OdBu1Z3zeUkAC6ezewaEkXPev76hyZmVl9OC+a5V9TFWt9/QNDCamgu3cDff0DdYrIzKy+nBfN8q+pirX2tlZmTevYbN6saR20t7XWKSIzs/pyXjTLv6Yq1qZPbmfxws6hxFTomzF9cnudIzMzqw/nRbP8a6oBBi0tYu7MKVx/6nyPejIzw3nRbCJoqmINssQ0Y8qkeodhZpYbzotm+dZUp0HNzMzMJhoXa2ZmZmY55mLNzMzMLMdcrJmZmZnlmIs1MzMzsxxzsWZmZmaWYy7WzMzMzHLMxZqZmZlZjrlYMzMzM8uxpruDAcDgYNCzvs+3VjEzqzLnW7Oxa7pibXAwWLF6HYuWdNHdu2HopsVzZ05xAjEzG0fOt2bjo+lOg/as7xtKHADdvRtYtKSLnvV9dY7MzKyxON+ajY+mK9b6+geGEkdBd+8G+voH6hSRmVljcr41Gx9NV6y1t7Uya1rHZvNmTeugva21ThGZmTUm51uz8dF0xdr0ye0sXtg5lEAKfSimT26vc2RmZo3F+dZsfDTdAIOWFjF35hSuP3W+RyeZmVWR863Z+Gi6Ys3DyM3Mxq7SXNrSImZMmVSHCM0aR1MVax5GbmY2ds6lZrVV1T5rko6UtELSSklnlFk+SdI1afntkuYULXuZpNsk3SfpXknbjjUeDyM3s0rlLX/liXOpWW1VrViT1ApcABwFzAOOlzSvZLWTgN6I2BM4Dzg3vbYNuAI4JSL2AQ4Bnh9rTB5GbmaVyGP+yhPnUrPaquaRtQOBlRHxYET0AVcDC0rWWQBcnp5fBxwqScARwD0RcTdARPRExJizgIeRm1mFcpe/8sS51Ky2qtlnbVfg0aLpbuCVw60TEf2S1gLTgb2BkPRjYAZwdUR8aawBFYaRf+83j3JM52xaW0R7Wws7bNtUXffMbGS5y195UsilpX3WRntJjuEGKXggmNnm8lqltAEHA68AngN+Kml5RPy0eCVJJwMnA8yePXvEjba0iD13msyb95vFey+7YyjJXPjuA3jpzCm0tTXdZefMbPxVlL9g9DksL8bjkhzDDVLYa8b2/GHNsx68YFakmtXJKmC3oulZaV7ZdVI/j6lAD9n/Yn8REU9GxHPAjcDLS98gIi6KiM6I6JwxY0ZFQa1Z38cHrli+WcfYU65YzhPPbhzVzplZQ6t6/oKty2F5Ubgkx67TtmPGlEmjLqSGG6TwxLMbPXjBrEQ1i7U7gL0k7S6pHTgOWFayzjLghPT8GODmiAjgx8BfS9ouJcHXAvePR1DPDwyW7RjbPzA4Hps3s8aQy/zVSIYbpDBcjvbgBWtmVSvWIqIfOI0scT0AXBsR90k6W9LRabWLgemSVgIfAc5Ir+0FvkqWMO8CfhMRN4xHXNu0tpTtGNvW6lOgZpbJa/5qJMMNUhguR3vwgjUzZf8RnPg6Ozujq6trxPX6+wf53ep1nJJOhbrPmtnElfqCddY7jvFQaQ5rFO6zZs1uNPkrrwMMqqatrYWXzpzCte9/Ff0Dg7S1tvDi7Se5UDMzq6EtDVLw/UTNNtd0xRpkBdsuO3SMvKKZmVXNcPcN9f1EzTbnw0lmZmZmOeZizczMzCzHXKyZmZmZ5ZiLNTMzM7Mcc7FmZmZmlmMu1szMzMxyzMWamZmZWY65WDMzMzPLMRdrZmZmZjnmYs3MzMwsx1ysmZmZmeVYRcWapL+UNCk9P0TS6ZJ2qG5oZmZj5/xlZhNdpUfWvgMMSNoTuAjYDfh21aIyMxs/zl9mNqFVWqwNRkQ/8HfA1yPin4GdqxeWmdm4cf4yswmt0mLteUnHAycAP0jztqlOSGZm48r5y8wmtEqLtfcCrwI+HxEPSdodWFq9sMzMxo3zl5lNaG2VrBQR9wOnA0iaBkyJiHOrGVg1DQ4GPev76OsfoL2tlemT22lpUb3DMrMqaLT81ayct62ZVVSsSboFODqtvxx4QtKtEfGRKsZWFYODwYrV61i0pIvu3g3MmtbB4oWdzJ05xV98swbUSPmrWTlvW7Or9DTo1Ih4BngrsCQiXgkcVr2wqqdnfd/QFx6gu3cDi5Z00bO+r86RmVmVNEz+albO29bsKi3W2iTtDLyDTR10J6S+/oGhL3xBd+8G+voH6hSRmVVZw+SvZuW8bc2u0mLtbODHwB8j4g5JewB/qF5Y1dPe1sqsaR2bzZs1rYP2ttY6RWRmVdYw+atZOW9bs6uoWIuI/4iIl0XEB9L0gxHxtuqGVh3TJ7ezeGHn0Be/0Pdh+uT2OkdmZtXQSPmrWTlvW7OrdIDBLODrwPw065fAhyKiu1qBVUtLi5g7cwrXnzrfo4rMmkAj5a9m5bxtza7S06CXAsuAXdLj+2nehNTSIqZPbqe9rZW+/gF61vcxOBj1DsvMqqOh8lezamkRM6ZMYtdp2zFjyqQRC7XBwWDNuo2s6n2ONes2OsfbhFbRkTVgRkQUJ7fLJP1jNQKqBQ8DN2sqDZW/bGTO8dZoKj2y1iPp3ZJa0+PdQE81A6smDwM3ayoNlb9sZM7x1mgqLdbeRzbs/XHgMeAYslu4TEgeBm7WVBoqf9nInOOt0VR6u6lHyK4A3hAKw8CLv8weBm7WmBotf9nInOOt0WyxWJP0dWDYXpkRcfq4R1QDhWHgpf0ZPAzcrHE0av6ykTnHW6MZ6chaV02iqDEPAzdrCg2Zv2xkzvHWaLZYrEXE5aXzJP1FRDxevZBqozAM3MwaUyPnLxuZc7w1kkoHGBS7cdyjMDOrDecvM5twtqZY83FkM5uonL/MbMLZmmJt8bhHYWZWG85fZjbhVHoHAyQdDOwVEd+QNAPYPiIeql5oZmbjw/nLzCayio6sSfoM8HHgE2nWNsAV1QrKzGy8OH+Z2URX6WnQvyO7qOR6gIj4X2BKtYIyMxtHzl9mNqFVWqz1RUSQLjApaXIlL5J0pKQVklZKOqPM8kmSrknLb5c0p2T5bEnPSvqnCuM0Myvl/GVmE1qlxdq1kv4d2EHSIuC/GKGjrqRW4ALgKGAecLykeSWrnQT0RsSewHnAuSXLvwr8sMIYzczKcf4yswmt0nuDfkXS4cAzwFzg0xFx0wgvOxBYGREPAki6GlgA3F+0zgLgrPT8OuB8SYqIkPS3wEOkUxdmZlvD+cvMJroRi7X0P8z/iojXASMluGK7Ao8WTXcDrxxunYjol7QWmC7pz2Qdgg8Hhj2FIOlk4GSA2bNnjyI0M2sGec5fKT7nMDMb0YinQSNiABiUNLUG8RScBZwXEc9uaaWIuCgiOiOic8aMGbWJzMwmjDznL3AOM7PKVHqdtWeBeyXdRNFh/Yg4fQuvWQXsVjQ9K80rt063pDZgKtBD9j/YYyR9CdiBLNn+OSLOrzDeLRocDHrW9/kGv2bNoaHyl23iXG7NotJi7bvpMRp3AHtJ2p0sqR0HvLNknWXACcBtwDHAzWnU1msKK0g6C3h2PAu1FavXsWhJF929G5g1rYPFCzuZO3OKv+Rmjalh8pdt4lxuzaTSAQaXj3bDqQ/HacCPgVbgkoi4T9LZQFdELAMuBpZKWgk8RZYQq6pnfd/Qlxugu3cDi5Z0cf2p85kxZVK1397MaqyR8pdt4lxuzaSiYk3SXsAXyIawb1uYHxF7bOl1EXEjcGPJvE8XPf8z8PYRtnFWJTFWqq9/YOjLXdDdu4G+/oHxfBszy4lGyl+2iXO5NZNKr7N2KfBNoB94HbCECXq7lva2VmZN69hs3qxpHbS3tdYpIjOrsobJX7aJc7k1k0qLtY6I+CmgiHgk/W/xTdULq3qmT25n8cLOoS95oZ/D9MntdY7MzKqkYfKXbeJcbs2k0gEGGyW1AH9I/ThWAdtXL6zqaWkRc2dO4fpT53sEkVlzaJj8ZZs4l1szqbRY+xCwHXA6cA7ZqYQTqhVUtbW0yB1QzZpHQ+Uv28S53JrFFos1SUsj4j3AqyPiDrLrFb23JpGZmY2B85eZNYqR+qwdIGkX4H2SpknasfhRiwDNzLaS85eZNYSRToNeCPwU2ANYDhR3Bog038wsj5y/zKwhbPHIWkR8LSL+iuyCkHtExO5FDyc6M8st5y8zaxQj9VkrnCo4s9xpg4h4qipRmZmNkfOXmTWKkU6DLic7XQCbn0IAn0Yws3xz/jKzhrDFYi0idq9VIPUyOBj0rO/zdXrMGkwz5C+rH/92WC2NdBr05VtaHhG/Gd9wamtwMFixet3QzYALV8CeO3OKv3RmE1yj5y+rH/92WK2NdBr0/21hWQCvH8dYaq5nfd/Qlw2ymwAvWtLF9afO94UWzSa+hs5fVj/+7bBaG+k06OtqFUg99PUPDH3ZCrp7N9DXP1CniMxsvDR6/rL68W+H1VpFN3KXtJ2kT0m6KE3vJenN1Q2t+trbWoduAlwwa1oH7W2tdYrIzMZbo+Yvqx//dlitVVSsAZcCfcCr0/Qq4HNViaiGpk9uZ/HCzqEvXaHfwfTJ7XWOzMzGUUPmL6sf/3ZYrVV6I/e/jIhjJR0PEBHPSZrwvShbWsTcmVO4/tT5HtFj1rgaMn9Z/fi3w2qt0mKtT1IH6ZpFkv4S2Fi1qGqopUXuEGrW2Bo2f1n9+LfDaqnSYu0zwI+A3SRdCcwHTqxWUGZm48j5y8wmtEqLtROAG4DrgAeBD0XEk1WLysxs/Dh/mdmEVmmxdjHwGuBw4C+BOyX9IiL+rWqRmZmND+cvM5vQKirWIuJnkn4BvAJ4HXAKsA/gZGdmueb8ZWYTXUXFmqSfApOB24BfAq+IiCeqGZiZ2Xhw/jKzia7S66zdQ3adon2BlwH7ptFVZmZ55/xlZhNapadBPwwgaQrZKKpLgb8APG7ZzHLN+cvMJrpKT4OeRtZB9wDgYeASstMJZma55vxlZhNdpaNBtwW+CiyPiP4qxmNmNt6cv8xsQqv0NOhXqh2ImVk1OH+Z2URX6QADMzMzM6sDF2tmZmZmOeZizczMzCzHXKyZmZmZ5ZiLNTMzM7Mcc7FmZmZmlmOVXmetKQwOBj3r++jrH6C9rZXpk9tpaVG9wzIzswbg3xjbWi7WksHBYMXqdSxa0kV37wZmTetg8cJO5s6c4i+TmZmNiX9jbCx8GjTpWd839CUC6O7dwKIlXfSs76tzZGZmNtH5N8bGwsVa0tc/MPQlKuju3UBf/0CdIjIzs0bh3xgbi6oWa5KOlLRC0kpJZ5RZPknSNWn57ZLmpPmHS1ou6d707+urGSdAe1srs6Z1bDZv1rQO2ttaq/3WZpZDEyl/Wf75N8bGomrFmqRW4ALgKGAecLykeSWrnQT0RsSewHnAuWn+k8BbIuKvgROApdWKs2D65HYWL+wc+jIV+hNMn9xe7bc2s5yZaPnL8s+/MTYW1RxgcCCwMiIeBJB0NbAAuL9onQXAWen5dcD5khQRdxatcx/QIWlSRGysVrAtLWLuzClcf+p8j9QxswmVvyz//BtjY1HNYm1X4NGi6W7glcOtExH9ktYC08n+Z1rwNuA3tUh0LS1ixpRJ1X4bM8u/CZe/LP/8G2NbK9eX7pC0D9mphSOGWX4ycDLA7NmzaxiZmdmWjZS/0jrOYWY2omoOMFgF7FY0PSvNK7uOpDZgKtCTpmcB1wMLI+KP5d4gIi6KiM6I6JwxY8Y4h29mTazq+Qucw8ysMtUs1u4A9pK0u6R24DhgWck6y8g64AIcA9wcESFpB+AG4IyIuLWKMZqZleP8ZWa5UbViLSL6gdOAHwMPANdGxH2SzpZ0dFrtYmC6pJXAR4DC8PjTgD2BT0u6Kz1eXK1YzcyKOX+ZWZ4oIuodw7jo7OyMrq6ueodhZjUkaXlEdNY7jvHgHGbWXEaTv3wHAzMzM7Mcc7FmZmZmlmMu1szMzMxyzMWamZmZWY65WDMzMzPLMRdrZmZmZjnmYs3MzMwsx1ysmZmZmeWYizUzMzOzHHOxZmZmZpZjLtbMzMzMcqyt3gHk0eBg0LO+j77+AdrbWpk+uZ2WFtU7LDMzawL+DbJSLtZKDA4GK1avY9GSLrp7NzBrWgeLF3Yyd+YUf1nMzKyq/Btk5fg0aIme9X1DXxKA7t4NLFrSRc8ItJcrAAASmklEQVT6vjpHZmZmjc6/QVaOi7USff0DQ1+Sgu7eDfT1D9QpIjMzaxb+DbJyXKyVaG9rZda0js3mzZrWQXtba50iMjOzZuHfICvHxVqJ6ZPbWbywc+jLUugvMH1ye50jMzOzRuffICvHAwxKtLSIuTOncP2p8z0Sx8zMasq/QVaOi7UyWlrEjCmT6h2GmZk1If8GWSmfBjUzMzPLMR9Z2wJfmNDMzPLEv0vNycXaMHxhQjMzyxP/LjUvnwYdhi9MaGZmeeLfpeblYm0YvjChmZnliX+XmpeLtWH4woRmZpYn/l1qXi7WhuELE5qZWZ74d6l5eYDBMHxhQjMzyxP/LjUvF2tb4AsTmplZnvh3qTm5WKuAr2tjZmZ559+qxuVibQS+ro2ZmeWdf6samwcYjMDXtTEzs7zzb1Vjc7E2Al/XxszM8s6/VY3NxdoIfF0bMzPLO/9WNTYXayPwdW3MzCzv/FvV2DzAYAS+ro2ZmeWdf6sam4u1ChRf16Z0aPS0jm3o3fC8vxxmZlZX5a7BNtLlPHy5j4nBxdoolA6NPmLeizn90L055YrlHiptZma5MtLlPHy5j4nDfdZGoXRo9NsO2G2oUAMPlTYzs/wY6XIevtzHxOFibRRKh0bv0LGNh0qbmVkujXQ5D1/uY+KoarEm6UhJKyStlHRGmeWTJF2Tlt8uaU7Rsk+k+SskvaGacVaqdGj00xue91BpswbVaPnLms9Il/Pw5T4mjqoVa5JagQuAo4B5wPGS5pWsdhLQGxF7AucB56bXzgOOA/YBjgS+kbZXV8VDo/ffbQd23K6dC999wNAf+xHzXsy3//6V9PUPsGbdRgYHo84RN7bBwWDNuo2s6n3O7T3B5e2zbMT8Zc2n3OU8lrzvQIJgVe9ztLawxeV5+C6Ol2rnmGpvv5oDDA4EVkbEgwCSrgYWAPcXrbMAOCs9vw44X5LS/KsjYiPwkKSVaXu3VTHeERWGRi87bT6PPf1n3n/FcmZsP4lzFuzL3jO35+kNz/POb93ujpo14I6xjSOnn2XD5S9rPqWX8+hob2X1MxtZ+I3/GfquLXnfgXz31FfzfP9g2eU5+C6OWbVzTC1yWDVPg+4KPFo03Z3mlV0nIvqBtcD0Cl9bFy0tYmAQ3p8GFtz56NO897I7+P3qZ3n/Ug82qBV3jG0cOf0sGzJ/WfMpXM5j12nbMTDIC75rCy/5NULDLs/Bd3HMqp1japHDJvQAA0knS+qS1LVmzZqavW+5Tpnbtbe6o2YNuWNs42jmz7JeOcyaU7MOOKj2ftWi3apZrK0CdiuanpXmlV1HUhswFeip8LVExEUR0RkRnTNmzBjH0LesXKfM5/oG3FGzhtwxtnHk9LOsev6C+uUwa07NOuCg2vtVi3arZrF2B7CXpN0ltZN1uF1Wss4y4IT0/Bjg5oiINP+4NNpqd2Av4NdVjHVUynXafMn07XxfthryffAaR04/y4bNX9a8Rvqu5fS7OGbV3q9atJuy3FIdkt4I/CvQClwSEZ+XdDbQFRHLJG0LLAX2B54Cjivq0Hsm8D6gH/jHiPjhlt6rs7Mzurq6qrYvpcrdogPwbTtqyLdJaRxb+1lKWh4RndWIqZb5C2qfw6w5Nevtp6q9X1uz/dHkr6oWa7XkRGfWfKpZrNWac5hZcxlN/prQAwzMzMzMGp2LNTMzM7Mcc7FmZmZmlmMu1szMzMxyzMWamZmZWY65WDMzMzPLMRdrZmZmZjnmYs3MzMwsxxrmoriS1gCPjOIlOwFPVimcanLcteW4a2u0cb8kIhrippqS1gJ/KJo1FVhbNF3Nz7T0vcb7dVtab7TLSueNNO12Kz/P7VbZsmq2W+X5KyKa8kF2y5i6x+G48/1w3I67hvt+0QjTVWub0vca79dtab3RLqugndxubreGazefBjUzy4fvjzBdy/ce79dtab3RLhupndxubreGa7eGOQ06WpK6YgLeU9Bx15bjrq2JGnctuG22jttt67jdtk612q2Zj6xdVO8AtpLjri3HXVsTNe5acNtsHbfb1nG7bZ2qtFvTHlkzMzMzmwia+ciamZmZWe41XbEm6UhJKyStlHRGDuLZTdLPJN0v6T5JH0rzd5R0k6Q/pH+npfmS9LUU/z2SXl60rRPS+n+QdEKN4m+VdKekH6Tp3SXdnuK7RlJ7mj8pTa9My+cUbeMTaf4KSW+oQcw7SLpO0u8kPSDpVROhvSV9OP2N/FbSVZK2zWt7S7pE0hOSfls0b9zaWNIBku5Nr/maJFVjP8zMcqFaQ3Pz+ABagT8CewDtwN3AvDrHtDPw8vR8CvB7YB7wJeCMNP8M4Nz0/I3ADwEBBwG3p/k7Ag+mf6el59NqEP9HgG8DP0jT1wLHpecXAh9Iz08FLkzPjwOuSc/npc9hErB7+nxaqxzz5cDfp+ftwA55b29gV+AhoKOonU/Ma3sD/wd4OfDbonnj1sbAr9O6Sq89qtp/63744Ycf9Xo025G1A4GVEfFgRPQBVwML6hlQRDwWEb9Jz9cBD5D9MC8gKypI//5ter4AWBKZXwE7SNoZeANwU0Q8FRG9wE3AkdWMXdIs4E3At9K0gNcD1w0Td2F/rgMOTesvAK6OiI0R8RCwkuxzqlbMU8kKiYsBIqIvIp5mArQ30AZ0SGoDtgMeI6ftHRG/AJ4qmT0ubZyWvSgifhURASwp2lbTkLSHpIslXTfy2lYg6W8lLU5Hno+odzwTgaS/knRhOiPxgXrHM5FImiypS9Kbx7KdZivWdgUeLZruTvNyIZ2q2h+4HZgZEY+lRY8DM9Pz4fahHvv2r8DHgME0PR14OiL6y8QwFF9avjatX+u4dwfWAJem07ffkjSZnLd3RKwCvgL8iaxIWwssJ//tXWy82njX9Lx0/oRX7vRxmv+C7hvpP50n1SfSfBllu30vIhYBpwDH1iPePBhlmz0QEacA7wDm1yPevBhNuyUfJzsDMibNVqzllqTtge8A/xgRzxQvS0cPcjVsN/0v4YmIWF7vWEapjez03DcjYn9gPdkpuSE5be9pZEegdgd2ASZT/SN5VZPHNs6Jyyj5XCW1AhcAR5Gdxj5e0rzah5ZrlzH6dvtUWt6sLmMUbSbpaOAG4Mbahpk7l1Fhu0k6HLgfeGKsb9psxdoqYLei6VlpXl1J2oasULsyIr6bZq9Op3tI/xY+7OH2odb7Nh84WtLDZKeTXw/8G9kprLYyMQzFl5ZPBXrqEHc30B0Rt6fp68iKt7y392HAQxGxJiKeB75L9hnkvb2LjVcbr0rPS+dPeMOcPs5d9428GU27pQEt5wI/LHRBaUaj/VuLiGURcRTwrtpGmi+jbLdDyPrWvhNYJGmra65mK9buAPZSNoKunazj9bJ6BpT6EV0MPBARXy1atAwojH47AfjPovkLU8I5CFibTi39GDhC0rR0FOaINK8qIuITETErIuaQtePNEfEu4GfAMcPEXdifY9L6keYfp2z04u7AXmSdx6sV9+PAo5LmplmHkv3PJ9ftTXb68yBJ26W/mULcuW7vEuPSxmnZM5IOSm2xsGhbjajs6WBJ0yVdCOwv6RP1CS3XhjuN/kGy//wcI+mUegSWY8P9rR2ibNT1v+Mja+WUbbeIODMi/pFsEN7iiBgs++oKtI28SuOIiH5Jp5H9CLQCl0TEfXUOaz7wHuBeSXeleZ8EvghcK+kk4BGyvgKQfVHeSNYx/DngvQAR8ZSkc8gKUoCzI6K0+q+FjwNXS/occCepI3/6d6mklWT/KzkOICLuk3QtWeHRD/xDRAxUOcYPAlemgv1BsjZsIcftHRG3K+tI/huydrqT7ErZN5DD9pZ0Fdn/KneS1A18hvH9mz6V7HREB9lo0B+O9z7kXUT0kPW7slGIiK8BX6t3HBNJRNwC3FLnMCasiLhsrNvwHQzMzHIkDTT6QUTsm6ZfBZwVEW9I058AiIgv1CvGPHK7jZ7bbOvUo92a7TSomdlEk7vuGxOE22303GZbp+rt5mLNzCwn0unj24C5krolnZQuvVLovvEAcG0Oum/kittt9NxmW6de7ebToGZmZmY55iNrZmZmZjnmYs3MzMwsx1ysWc1JukVSZw3eZ4ak25XdVuo1Y9zWIZJePV6xmZmZVcrFmk0oRVfrr8ShwL0RsX9E/HKMb30IMKpibZSxmpmZleVizYYlaY6kByQtlnSfpJ9I6ig+MiZpJ2W3nELSiZK+J+kmSQ9LOk3SR9KRrV9J2rFo8++RdJek30o6ML1+srKb5P46vWZB0XaXSboZ+Okwcd4s6R5JP5U0W9J+wJfIbi9zl6SOktf8StI+RdO3SOqUtGPah3vSOi9L19Q5Bfhw2tZr0lG770i6Iz3mp+2cJWmppFvJLkq7T9qfu9I29xqvz8fMzJqDizUbyV7ABRGxD/A08LYR1t8XeCvwCuDzwHPphum3kd0WqGC7iNiP7Er0l6R5Z5LdFulA4HXAlyVNTsteDhwTEa8t855fBy6PiJcBVwJfi4i7gE8D10TEfhGxoeQ115CuoK/sPpU7R0QX8FngzrStTwJLIuJh4ELgvLStX5LdB/W8iHhFapNvFW17HnBYRBxPVuT9W9rXTrLbkJiZmVXMxZqN5KFU+AAsB+aMsP7PImJdRKwB1gLfT/PvLXntVTB0U9wXSdqB7N6PZyi77dYtwLbA7LT+TVu4ndOryO69BrAUOHjk3eJaNt1T8x1kN3QnvXZpiu1mYLqkF5V5/WHA+SnWZWkftk/LlhUVh7cBn5T0ceAlZYpGMxsD94F9wbaVzjS8KE0/W4332RqVfFaSrvYZiBdysWYj2Vj0fIDsfrL9bPrb2XYL6w8WTQ+y+b1oSy/wF4CAt6WjV/tFxOyIeCAtX19YUdLn02nFu6iQpL8rvEZSZ0SsAnokvQw4luxI22i0AAcVxbprRBSS4lCsEfFt4GhgA3CjpNeP8n3MrEoatA/sG4G7I+KZ0QaVE98EPlbvIPLGxZptjYeBA9LzY7aw3pYcCyDpYGBtRKwlu/rzByUpLdu/3Asj4sxCkZRm/Q/pRuXAu4AXJNKIuL6osOpKs68hSwpTI+KeNO+XaRtIOgR4MiW9dcCUok3+hOyG8KR196MMSXsAD6abR/8n8LJh2sOsYQ3X/zUtcx/Y8e0D+y6yXFO6X5L05dRG90oq5OAWSd+Q9LvU1jdKekFel3S6pPvT+16d5m0v6dK0vXskvS3N/6akrvRZf7ZMjEg6QtJtkn4j6T+06czEL4HDRllINzwXa7Y1vgJ8QNKdwE5buY0/p9dfCJyU5p0DbAPcI+m+NF2JDwLvlXQP8B7gQxW+7jqyIu/aonlnAQekbX0ROCHN/z5QODr3GuB0oDMlqPvJkm857wB+m44C7gssqTA2s0Yz2v6v4D6wMPo+sPPJuqyUeiuwH/A3ZN04vpxifStZF5V5ZPnzVWVeC3AGsH/al0K++79k/9n+6zT/5jT/zIjoJPvP6WvTGYwhknYCPpX26+VAF/ARgIgYBFamOC1x5WrDSkll36LprxQtLv7yfSotvwy4rGj9OUXPh5ZFxCHDvN8G4P1l5m+23TLLHwFecHqxgtetpuQ7kPrF/W2ZdX/PC4+KHVtmvbNKpr9IVvSZNbvR9n+F1AcWWCeptA9s8fdxqA+spOI+sEdL+qe0zmj6wL41PV9KdkRtJNeSHW3/DC/sA/u2FNvNkrbUB3ZeOqkAW+4De6akWcB3I+IPZba1Y2qzUgcDV0XEALBa0s/JiuCDgf9IRdLjkn42zD7eA1wp6XvA94riLpzVICJ609N3SDqZLL/uTFYI3lO0rYPSvFvTPrenfSt4AtiF8kVnU/KRNTMzq4Vy/V/BfWBhfPvA9kuqxm/7m4ALyI5K3jHcaUpJuwP/BByajrbdwAs/V5EVzIX9nRcRJxUt35ZsHy1xsWZmZvX0MO4DO559YFcAe5SZ/0vgWEmtkmYA/wf4NXAr8LbUd20m2eCH0vdtAXaLiJ8BHwemAtsDNwH/ULTeNOBFZAXm2rS9o8rE8itgvqQ90+smS9q7aPnewG/LtUGzcrFmZmb15D6w49sH9gbKFFzA9WSnIu8m61v2sYh4HPgOWd+3+4ErgN+QXXapWCtwhaR7gTvJ+vE9DXwOmJYGLdwNvC4i7k7r/I7skkq3lgaSLu10InBVapvbgJcCpAJvQ4rNEkWUHj02MzOziSgNGlgSEYeP4jXbR8SzkqaTHW2bX69iSdKHgWci4uJ6vH9eeYCBmZlZg4iIx5RdIuVFo7jW2g/SoIx24Jw6H9V6mnRhctvER9bMzMzMcsx91szMzMxyzMWamZmZWY65WDMzMzPLMRdrZmZmZjnmYs3MzMwsx1ysmZmZmeXY/wfKbjYxsnpcSAAAAABJRU5ErkJggg==\n",
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+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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GHCCpS1IXcECat058byAzq1Du4letOC6a5V/NmkEjYkDSqWRBqh24LCLmSDoL6I2IWZLeDNwMdAHvkfSliNgpIp6XdDZZwAQ4q9BZd1343kBmVok8xq9acVw0yz9FNOZxJdXW09MTvb29jS6GmdWRpNkR0dPoclSDY5hZaxlJ/Gqpx02ZmZmZNRsna2ZmZmY55mTNzMzMLMea+j5ro+VHq5iZNZ5jsVllWi5Z86NVzMwaz7HYrHIt1wzqR6uYmTWeY7FZ5VouWfOjVczMGs+x2KxyLZes+dEqZmaN51hsVrmWS9b8aBUzs8ZzLDarXMsNMPCjVczMGs+x2KxyLZesQRYkuieOb3QxzMxammOxWWVarhnUzMzMrJk4WTMzMzPLMSdrZmZmZjnWkn3W/IgTM7P6cLw1W3ctl6z5ESdmZvXheGtWHS3XDOpHnJiZ1YfjrVl1tFyy5kecmJnVh+OtWXW0XLLmR5yYmdWH461ZdbRcsuZHnJiZ1YfjrVl1tNwAAz/ixMysPhxvzaqj5ZI1MzOrn1o+Usq3BbFW0XLJmoeSm5k1P8dyayUt12fNQ8nNzJqfY7m1kpZL1jyU3Mys+TmWWytpuWTNQ8nNzJqfY7m1kpZL1jyU3Mys+TmWWytpuQEGHkpuZtb8HMutldS0Zk3SQZLmSpon6cwyy8dLuj4tv0/S1DR/PUlXSnpY0qOSPl3NchWGkk/u2oDuieP9x21ma8hr/LLXOJZbq6hZsiapHbgAOBiYBhwtaVrJaicAfRGxHXAecE6a/0/A+Ij4O2B34MOFQGhmVmuOX2aWJ7WsWdsDmBcRj0VEP3AdMKNknRnAlen9jcC+kgQEMEHSOKAT6AderGFZzcyKOX6ZWW7UMlmbDDxVND0/zSu7TkQMAEuASWSBbxnwNPAX4NyIeL6GZTUzK+b4ZWa5kdfRoHsAK4EtgW2AT0ratnQlSSdJ6pXUu2jRonqX0cysnIriFziGmVllapmsLQC2KpqekuaVXSc1GWwMLAaOAX4WEa9GxLPA3UBP6QdExMUR0RMRPd3d3TU4BDNrUTWPX+AYZmaVqWWydj+wvaRtJHUARwGzStaZBRyX3h8O3BERQdZ08E4ASROAPYE/1LCsZmbFHL/MLDdqlqylPhynArcBjwI3RMQcSWdJOiStdikwSdI84BNAYXj8BcCGkuaQBc3LI+KhWpXVzKyY45eZ5YmyH4LNr6enJ3p7extdDDOrI0mzI6JsE2OzcQwzay0jiV95HWBgZmZmZjhZMzMzM8s1J2tmZmZmOdZyD3IHGBwMXljez/L+layMYP312tlsgp8rZ2aWV4ODweJl/RU/tH2k65vlWcsla4ODwROLl7HwxVf49xsfYn7fcqZ0dXLJsT3suPlE/zGbmeXM4GAwd+FSTpzZW1HMHun6ZnnXcs2gi5f18+Til1clagDz+5Zz4sxeFi/rb3DpzMys1OJl/asSLxg+Zo90fbO8a7lkrX9gJRt0tK/6Iy6Y37ec/oGVDSqVmZkNpX9g5Yhi9kjXN8u7lkvWOsa183L/SqZ0da42f0pXJx3j2htUKjMzG0rHuPYRxeyRrm+Wdy2XrE2a0MEbJm3ANw7fZdUfc6E/w6QJHQ0unZmZlZo0oYNLju2pOGaPdH2zvGvJJxisPhoU1l+vzaNBzZqQn2DQOjwa1MaakcSvlhsNWrByMPu3cz3/EZuZ5clQiVb3xPEV72Ok65vlWcslax7SbWaWX47RZmtquT5rHtJtZpZfjtFma2q5ZM1Dus3M8ssx2mxNLZeseUi3mVl+OUabranlkjUP6TYzyy/HaLM1tdwAg7Y2sePmE7n5lOke0m1mljOO0WZrqihZk/RGYH5ErJC0N7ALMDMiXqhl4WrFQ7rNWsdYi1+twDHabHWVNoPeBKyUtB1wMbAV8L2alcrMrHocv8ysqVWarA1GxABwKPDNiPh3YIvaFcvMrGocv8ysqVWarL0q6WjgOOAnad56tSmSmVlVOX6ZWVOrNFn7EPBW4CsR8bikbYCralcsM7Oqcfwys6ZW0QCDiHgEOA1AUhcwMSLOqWXBzMyqwfHLzJpdRTVrku6StJGkTYEHgEsk/Wdti2Zmtu4cv8ys2VXaDLpxRLwIvI9syPtbgP1qVywzs6px/DKzplZpsjZO0hbAEbzWQdfMrBk4fplZU6s0WTsLuA34c0TcL2lb4E+1K5aZWdU4fplZU6t0gMH3ge8XTT8GHFarQpmZVYvjl5k1u0oHGEyRdLOkZ9PrJklTKtjuIElzJc2TdGaZ5eMlXZ+W3ydpatGyXSTdI2mOpIclrT+SAzMzA8cvM2t+lTaDXg7MArZMrx+neUOS1A5cABwMTAOOljStZLUTgL6I2A44DzgnbTsOuBo4OSJ2AvYGXq2wrGZmxRy/zKypVZqsdUfE5RExkF5XAN3DbLMHMC8iHouIfuA6YEbJOjOAK9P7G4F9JQk4AHgoIn4HEBGLI2JlhWU1Myvm+GVmTa3SZG2xpA9Iak+vDwCLh9lmMvBU0fT8NK/sOunZfUuAScAOQEi6TdIDkk6vsJxmZqUcv8ysqVWarP0z2bD3Z4CngcPJHuFSK+OAvYD3p38PlbRv6UqSTpLUK6l30aJFNSyOmTWxXMYvcAwzs8pUlKxFxJMRcUhEdEfE6yLivRHxl2E2WwBsVTQ9Jc0ru07q57Ex2S/e+cCvIuK5iHgZuBV4U5lyXRwRPRHR0909XKuGmbWivMavVDbHMDMb1lpv3SHpm0AMtTwiTlvL5vcD26eHJi8AjgKOKVlnFnAccA/Zr907IiIk3QacLmkDoB94B1kHXjOzijh+mdlYMdx91npHu+OIGJB0KtnNKNuByyJijqSzgN6ImAVcClwlaR7wPFlAJCL60rP77icLtrdGxC2jLYuZtSTHLzMbExQx5A/P8htIr4+IZ2pUnlHr6emJ3t5Rx2Yza0KSZkdEzwjWz2X8Ascws1YzkvhV6QCDYreOYhszszxw/DKzpjOaZE1VL4WZWX04fplZ0xlNsnZJ1UthZlYfjl9m1nQqepA7gKS9gO0j4kJJ3cCGEfF47YpmZlYdjl9m1swqfZD7F4AzgE+nWeuRPfvOzCzXHL/MrNlV2gx6KHAIsAwgIv4KTKxVoczMqsjxy8yaWqXJWn9k9/gIAEkTalckM7Oqcvwys6ZWabJ2g6TvAJtIOhH4H9xR18yag+OXmTW1igYYRMS5kvYHXgR2BP4jIm6vacnMzKrA8cvMmt2wyZqkduB/ImIfwAHOzJqG45eZjQXDNoNGxEpgUNLGdSiPmVnVOH6Z2VhQ6X3WXgIelnQ7aUQVQEScVpNSmZlVj+OXmTW1SpO1H6SXmVmzcfwys6ZW6QCDK2tdEDOzWnD8MrNmV1GyJml74KvANGD9wvyI2LZG5TIzqwrHLzNrdpXeZ+1y4NvAALAPMBM/rsXMmoPjl5k1tUqTtc6I+AWgiHgyIr4IvKt2xTIzqxrHLzNrapUOMFghqQ34k6RTgQXAhrUrlplZ1Th+mVlTq7Rm7WPABsBpwO7AB4DjalUoM7Mqcvwys6a21po1SVdFxAeBt0XE/WT3K/pQXUpmZrYOHL/MbKwYrmZtd0lbAv8sqUvSpsWvehTQzGyUHL/MbEwYrs/aRcAvgG2B2YCKlkWab2aWR45fZjYmrLVmLSLOj4i/BS6LiG0jYpuilwOdmeWW45eZjRXD9VkrNBV8tlyzQUQ8X5NSmZmtI8cvMxsrhmsGnU3WXACrNyGAmxHMLN8cv8xsTFhrshYR29SrIGZm1eT4ZWZjxXDNoG9a2/KIeKC6xTEzqw7HLzMbK4ZrBv3/1rIsgHdWsSxmZtXk+GVmY8JwzaD7rMvOJR0E/DfQDnw3Ir5Wsnw82UOVdwcWA0dGxBNFy7cGHgG+GBHnrktZzKy1OH6Z2VhR0eOmJG0g6XOSLk7T20t69zDbtAMXAAcD04CjJU0rWe0EoC8itgPOA84pWf6fwE8rKaOZWTmOX2bW7Cp9NujlQD/wtjS9APjyMNvsAcyLiMcioh+4DphRss4M4Mr0/kZgX0kCkPRe4HFgToVlHJXBwWDR0hUs6HuZRUtXMDgYw29kZs1kzMYvaxxfO6yeKk3W3hgRXwdeBYiIl1lzKHypycBTRdPz07yy60TEALAEmCRpQ+AM4Etr+wBJJ0nqldS7aNGiCg/lNYODwdyFSzn0wruZfs6dHHrh3cxduNR/dGZjSy7jF6x7DLPG8LXD6q3SZK1fUifpnkWS3gisqFmp4IvAeRHx0tpWioiLI6InInq6u7tH/CGLl/Vz4sxe5vctB2B+33JOnNnL4mX9oymzmeVTLuMXrHsMs8bwtcPqbbjRoAVfAH4GbCXpGmA6cPww2ywAtiqanpLmlVtnvqRxwMZkHXXfAhwu6evAJsCgpFci4lsVlrci/QMrV/2xFczvW07/wMpqfoyZNdaYjF/WOL52WL1VmqwdB9xC1i/jMeBjEfHcMNvcD2wvaRuyoHYUcEzJOrPSvu8BDgfuiIgA3l5YQdIXgZdqEeg6xrUzpatztT+6KV2ddIxrr/ZHmVnjjMn4ZY3ja4fVW6XNoJcC6wOHAN8EviPpY2vbIPXhOBW4DXgUuCEi5kg6S9IhRfudJGke8AngzFEcw6hNmtDBJcf2MKWrE8j+2C45todJEzrqWQwzq60xGb+scXztsHpT9kOwghWzoexvBvYBTgaWR8Tf1LBsI9LT0xO9vb0j3m5wMFi8rJ/+gZV0jGtn0oQO2tqG63tsZnkgaXZE9FSwXq7jF4w+hllj+Nph66rS+AUVNoNK+gUwgay6/9fAmyPi2dEXMT/a2kT3xPGNLoaZ1chYjl/WOL52WD1V2gz6ENl9inYGdgF2TqOrzMzyzvHLzJpaRTVrEfFxAEkTyUZRXQ68HvDPCjPLNccvM2t2lTaDnko2wml34AngMrLmBDOzXHP8MrNmV+mtO9Yne87d7DRKysysWTh+mVlTq7QZ9NxaF8TMrBYcv8ys2VU6wMDMzMzMGsDJmpmZmVmOOVkzMzMzyzEna2ZmZmY55mTNzMzMLMecrJmZmZnlmJM1MzMzsxxzsmZmZmaWY07WzMzMzHLMyZqZmZlZjjlZMzMzM8sxJ2tmZmZmOeZkzczMzCzHnKyZmZmZ5ZiTNTMzM7Mcc7JmZmZmlmNO1szMzMxyzMmamZmZWY45WTMzMzPLMSdrZmZmZjnmZM3MzMwsx5ysmZmZmeVYTZM1SQdJmitpnqQzyywfL+n6tPw+SVPT/P0lzZb0cPr3nbUsZ8HgYLBo6QoW9L3MoqUrGByMenysmeVQs8Uvyz9fY2y0xtVqx5LagQuA/YH5wP2SZkXEI0WrnQD0RcR2ko4CzgGOBJ4D3hMRf5W0M3AbMLlWZYXsj2juwqWcOLOX+X3LmdLVySXH9rDj5hNpa1MtP9rMcqbZ4pfln68xti5qWbO2BzAvIh6LiH7gOmBGyTozgCvT+xuBfSUpIh6MiL+m+XOATknja1hWFi/rX/VHtNtWm/D5d09j2YoBnnnxFf/6MWs9TRW/LP+KrzEA8/uWc+LMXhYv619jXdfAWama1ayR/ZJ8qmh6PvCWodaJiAFJS4BJZL9MCw4DHoiIFaUfIOkk4CSArbfeep0K2z+wclWi9qkDd+SMmx7yrx+z1lXz+AXVjWGWb4VrTLH5fcvpH1i52jzXwFk5uR5gIGknsqaFD5dbHhEXR0RPRPR0d3ev02d1jGtnSlcnJ+/9xlWJGqz914+Z2VCGi19Q3Rhm+Va4xhSb0tVJx7j21eaNpAbOWkctk7UFwFZF01PSvLLrSBoHbAwsTtNTgJuBYyPizzUsJwCTJnRwybE9TJrQUdGvHzMb05oqfln+Fa4xhYStUGM2aULHautVWgNnraWWzaD3A9tL2oYsqB0FHFOyzizgOOAe4HDgjogISZsAtwBnRsTdNSzjKm1tYsfNJ/LMi68wpatztT+Wcr9+zGxMa6r4ZflXuMbcfMp0+gdW0jGunUkTOtZo2izUwPkaZMVqVrMWEQPAqWQjoR4FboiIOZLOknRIWu1SYJKkecAngMLw+FOB7YD/kPTb9Hpdrcpa0NYmXr/R+hX9+jGzsasZ45flX1ub6J44nsmEz+rlAAATp0lEQVRdG9A9cXzZPmiV1sBZa1HE2Bhl0tPTE729vVXZ1+BgsHhZ/1p//ZhZ40maHRE9jS5HNVQzhllz8zWoNYwkftWyGbRpFX79mJmZ1ZuvQVYq16NBzczMzFqdkzUzMzOzHHOyZmZmZpZjTtbMzMzMcszJmpmZmVmOOVkzMzMzyzEna2ZmZmY55mTNzMzMLMecrJmZmZnlmJ9gsBZ+5IeZmeWJr0utycnaEAYHg7kLl3LizF7m9y1f9TDdHTef6D8MMzOrO1+XWpebQYeweFn/qj8IgPl9yzlxZi+Ll/U3uGRmZtaKfF1qXU7WhtA/sHLVH0TB/L7l9A+sbFCJzMyslfm61LqcrA2hY1w7U7o6V5s3pauTjnHtDSqRmZm1Ml+XWpeTtSFMmtDBJcf2MKWrk9222oTLj38zV5/wFoJgcDAaXTwzM2sxxdclYFWftUkTOoCsT9uipStY0Pcyi5au8LVqDPEAgyG0tYkdN5/IrFOn8/QLr/Dhq2e7Q6eZmTVM4bp08ynT1xgN6sEHY5tr1tairU2sHGRVogbQveF4nlnyCvNf8C8XMzOrr7Y20T1xPJO7NqB74vhVidhQgw9eWN7v2rYxwDVrwyju0LnbVpvwqQN35IybHvIvFzMzy41ygw+6NxzvlqExwjVrwyju0Hny3m9claiBh02bmVk+lBt8cNq+26/WMuRrVvNysjaM4g6dm3Su52HTZmaWO+UGH2yz2QRfs8YIN4MOo7RD55SuztX+8x8w7XVIYkHfy370h5mZNUS5wQdBrHHNKr3Vhx9f1Rxcs1aBQofOLTbuXO2XywHTXsdp++7AEd+5h+nn3MmhF97N3IVL3YHTzMzqrnTwwWYTxg97q4+5C5dy6IV3+xqWc4oYG19KT09P9Pb21vxzCr9CBgcHGRgMjrz43jV+tdx8ynS6J46veVnMWp2k2RHR0+hyVEO9Ypi1ltKas67O9ehb/ir9AyuRxBHfucfXsAYZSfxyM+gItbWJSRM6mLtwKctWDLg/gJmZ5Vahtg3WfBD8jSe/1dewJuFm0FEo3M9m8bL+1UbfFJ50sDLC97MxM7NcKb0XW+k1DFbvh+3rWH44WRuFwv1sLrrrz5xz2C6rHkl1+kE78vkf/Z5/+Ppdbvs3M7NcKb0XW/E1DNwPO8/cDDoKhfvZPPjUC5x721w+/+5p7LD5hnzw0t+scT8bt/2bmVkeFK5dhevUg0+9wJX/9zg3fPitRMQafdh8HcuPmtasSTpI0lxJ8ySdWWb5eEnXp+X3SZpatOzTaf5cSQfWspwjVXw/mwefeoGzf/IIQm77rzM/tHjsyON3OVbjl7Wucvdi+/j+O/L6jdZnctcGRMSYvY7VOsbUev81q1mT1A5cAOwPzAfulzQrIh4pWu0EoC8itpN0FHAOcKSkacBRwE7AlsD/SNohInLxP2a097Ox6vFDi8eOPH6XYzl+Weta24PgYc2aNxgb17Fax5h6xLBa1qztAcyLiMcioh+4DphRss4M4Mr0/kZgX0lK86+LiBUR8TgwL+0vN0Z6PxurrqEeWuzHqDSfnH6XYzp+Wesa6kHwUL7mbSxcx2odY+oRw2rZZ20y8FTR9HzgLUOtExEDkpYAk9L8e0u2nVz6AZJOAk4C2HrrratW8NEY7heLVVe5hxaPler6VpPT77Lm8QvyFcPMxup1rNYxph4xrKlHg0bExRHRExE93d3djS7OWn+xWHWVe2jxWKiub0Wt/F3mLYaZjcXrWK1jTD1iWC2TtQXAVkXTU9K8sutIGgdsDCyucFtrYWO1ur4V5fS7dPwyGyNqHWPqEcNq9ripFLz+COxLFqjuB46JiDlF6/wr8HcRcXLqoPu+iDhC0k7A98j6eWwJ/ALYfm0ddP2oltbjBxCPHaP9Lmv1uKl6xy9wDDOrpVpfL0az/1w8bir14TgVuA1oBy6LiDmSzgJ6I2IWcClwlaR5wPNkI6hI690APAIMAP/qkVRWqvgxKtbc8vZdOn6ZjS21jjG13r8f5G5mTcsPcjezZjWS+NXUAwzMzMzMxjona2ZmZmY55mTNzMzMLMecrJmZmZnlmJM1MzMzsxxzsmZmZmaWY07WzMzMzHJszNxnTdIi4MkRbLIZ8FyNilNLLnd9udz1NdJyvyEixsRDNdOD4P9UNGtjYEnRdC2/09LPqvZ2a1tvpMtK5w037fNWfp7PW2XLanneKo9fEdGSL7K7kDe8HC53vl8ut8tdx2O/eJjpmp2b0s+q9nZrW2+kyyo4Tz5vPm9j7ry5GdTMLB9+PMx0PT+72tutbb2RLhvuPPm8+byNufM2ZppBR0pSbzThY2pc7vpyueurWctdDz43o+PzNjo+b6NTq/PWyjVrFze6AKPkcteXy11fzVruevC5GR2ft9HxeRudmpy3lq1ZMzMzM2sGrVyzZmZmZpZ7LZesSTpI0lxJ8ySdmYPybCXpTkmPSJoj6WNp/qaSbpf0p/RvV5ovSeen8j8k6U1F+zourf8nScfVqfztkh6U9JM0vY2k+1L5rpfUkeaPT9Pz0vKpRfv4dJo/V9KBdSjzJpJulPQHSY9KemsznG9JH0//R34v6VpJ6+f1fEu6TNKzkn5fNK9q51jS7pIeTtucL0m1OA4zs1yo1dDcPL6AduDPwLZAB/A7YFqDy7QF8Kb0fiLwR2Aa8HXgzDT/TOCc9P4fgZ8CAvYE7kvzNwUeS/92pfdddSj/J4DvAT9J0zcAR6X3FwEfSe9PAS5K748Crk/vp6XvYTywTfp+2mtc5iuBf0nvO4BN8n6+gcnA40Bn0Xk+Pq/nG/gH4E3A74vmVe0cA79J6ypte3Ct/6/75ZdffjXq1Wo1a3sA8yLisYjoB64DZjSyQBHxdEQ8kN4vBR4luzDPIEsqSP++N72fAcyMzL3AJpK2AA4Ebo+I5yOiD7gdOKiWZZc0BXgX8N00LeCdwI1DlLtwPDcC+6b1ZwDXRcSKiHgcmEf2PdWqzBuTJRKXAkREf0S8QBOcb2Ac0ClpHLAB8DQ5Pd8R8Svg+ZLZVTnHadlGEXFvRAQws2hfLUPStpIulXTj8GtbgaT3Srok1Twf0OjyNANJfyvpotQi8ZFGl6eZSJogqVfSu9dlP62WrE0Gniqanp/m5UJqqtoNuA/YPCKeToueATZP74c6hkYc238BpwODaXoS8EJEDJQpw6rypeVL0vr1Lvc2wCLg8tR8+11JE8j5+Y6IBcC5wF/IkrQlwGzyf76LVescT07vS+c3vXLNx2n+Gt030o/OExpT0nwZ4Xn7YUScCJwMHNmI8ubBCM/ZoxFxMnAEML0R5c2LkZy35AyyFpB10mrJWm5J2hC4Cfi3iHixeFmqPcjVsN30K+HZiJjd6LKM0Diy5rlvR8RuwDKyJrlVcnq+u8hqoLYBtgQmUPuavJrJ4znOiSso+V4ltQMXAAeTNWMfLWla/YuWa1cw8vP2ubS8VV3BCM6ZpEOAW4Bb61vM3LmCCs+bpP2BR4Bn1/VDWy1ZWwBsVTQ9Jc1rKEnrkSVq10TED9Lsham5h/Rv4cse6hjqfWzTgUMkPUHWnPxO4L/JmrDGlSnDqvKl5RsDixtQ7vnA/Ii4L03fSJa85f187wc8HhGLIuJV4Adk30Hez3exap3jBel96fymN0Tzce66b+TNSM5bGtByDvDTQheUVjTS/2sRMSsiDgbeX9+S5ssIz9veZH1rjwFOlDTqnKvVkrX7ge2VjaDrIOt4PauRBUr9iC4FHo2I/yxaNAsojH47DvhR0fxjU8DZE1iSmpZuAw6Q1JVqYQ5I82oiIj4dEVMiYirZebwjIt4P3AkcPkS5C8dzeFo/0vyjlI1e3AbYnqzzeK3K/QzwlKQd06x9yX755Pp8kzV/7ilpg/R/plDuXJ/vElU5x2nZi5L2TOfi2KJ9jUVlm4MlTZJ0EbCbpE83pmi5NlQz+kfJfvwcLunkRhQsx4b6v7a3slHX38E1a+WUPW8R8dmI+DeyQXiXRMRg2a0rMG74VcaOiBiQdCrZRaAduCwi5jS4WNOBDwIPS/ptmvcZ4GvADZJOAJ4k6ysA2R/KP5J1DH8Z+BBARDwv6WyyhBTgrIgozf7r4QzgOklfBh4kdeRP/14laR7Zr5KjACJijqQbyBKPAeBfI2Jljcv4UeCalLA/RnYO28jx+Y6I+5R1JH+A7Dw9SHan7FvI4fmWdC3Zr8rNJM0HvkB1/0+fQtYc0Uk2GvSn1T6GvIuIxWT9rmwEIuJ84PxGl6OZRMRdwF0NLkbTiogr1nUffoKBmVmOpIFGP4mIndP0W4EvRsSBafrTABHx1UaVMY983kbO52x0GnHeWq0Z1Mys2eSu+0aT8HkbOZ+z0an5eXOyZmaWE6n5+B5gR0nzJZ2Qbr1S6L7xKHBDDrpv5IrP28j5nI1Oo86bm0HNzMzMcsw1a2ZmZmY55mTNzMzMLMecrFndSbpLUk8dPqdb0n3KHiv19nXc196S3latspmZmVXKyZo1laK79VdiX+DhiNgtIn69jh+9NzCiZG2EZTUzMyvLyZoNSdJUSY9KukTSHEk/l9RZXDMmaTNlj5xC0vGSfijpdklPSDpV0idSzda9kjYt2v0HJf1W0u8l7ZG2n6DsIbm/SdvMKNrvLEl3AL8Yopx3SHpI0i8kbS1pV+DrZI+X+a2kzpJt7pW0U9H0XZJ6JG2ajuGhtM4u6Z46JwMfT/t6e6q1u0nS/ek1Pe3ni5KuknQ32U1pd0rH89u0z+2r9f2YmVlrcLJmw9keuCAidgJeAA4bZv2dgfcBbwa+ArycHph+D9ljgQo2iIhdye5Ef1ma91myxyLtAewDfEPShLTsTcDhEfGOMp/5TeDKiNgFuAY4PyJ+C/wHcH1E7BoRy0u2uZ50B31lz6ncIiJ6gS8BD6Z9fQaYGRFPABcB56V9/ZrsOajnRcSb0zn5btG+pwH7RcTRZEnef6dj7SF7DImZmVnFnKzZcB5PiQ/AbGDqMOvfGRFLI2IRsAT4cZr/cMm218Kqh+JuJGkTsmc/nqnssVt3AesDW6f1b1/L45zeSvbsNYCrgL2GPyxu4LVnah5B9kB30rZXpbLdAUyStFGZ7fcDvpXKOisdw4Zp2ayi5PAe4DOSzgDeUCZpNLN14D6wa+xbqaVhozT9Ui0+ZzQq+a4kXecWiDU5WbPhrCh6v5LsebIDvPZ/Z/21rD9YND3I6s+iLb3BXwACDku1V7tGxNYR8WhavqywoqSvpGbF31IhSYcWtpHUExELgMWSdgGOJKtpG4k2YM+isk6OiEJQXFXWiPgecAiwHLhV0jtH+DlmViNjtA/sPwK/i4gXR1qonPg2cHqjC5E3TtZsNJ4Adk/vD1/LemtzJICkvYAlEbGE7O7PH5WktGy3chtGxGcLSVKa9X+kB5UD7wfWCKQRcXNRYtWbZl9PFhQ2joiH0rxfp30gaW/guRT0lgITi3b5c7IHwpPW3ZUyJG0LPJYeHv0jYJchzofZmDVU/9e0zH1gq9sH9v1ksab0uCTpG+kcPSypEIPbJF0o6Q/pXN8qaY24Luk0SY+kz70uzdtQ0uVpfw9JOizN/7ak3vRdf6lMGZF0gKR7JD0g6ft6rWXi18B+I0ykxzwnazYa5wIfkfQgsNko9/FK2v4i4IQ072xgPeAhSXPSdCU+CnxI0kPAB4GPVbjdjWRJ3g1F874I7J729TXguDT/x0Chdu7twGlATwpQj5AF33KOAH6fagF3BmZWWDazsWak/V/BfWBh5H1gp5N1WSn1PmBX4O/JunF8I5X1fWRdVKaRxc+3ltkW4Exgt3QshXj3ebIf23+X5t+R5n82InrIfpy+I7VgrCJpM+Bz6bjeBPQCnwCIiEFgXiqnJc5cbUgpqOxcNH1u0eLiP77PpeVXAFcUrT+16P2qZRGx9xCftxz4cJn5q+23zPIngTWaFyvYbiElfwOpX9x7y6z7R9asFTuyzHpfLJn+GlnSZ9bqRtr/FVIfWGCppNI+sMV/j6v6wEoq7gN7iKRPpXVG0gf2fen9VWQ1asO5gay2/Qus2Qf2sFS2OyStrQ/stNSoAGvvA/tZSVOAH0TEn8rsa9N0zkrtBVwbESuBhZJ+SZYE7wV8PyVJz0i6c4hjfAi4RtIPgR8WlbvQqkFE9KW3R0g6iSy+bkGWCD5UtK8907y70zF3pGMreBbYkvJJZ0tyzZqZmdVDuf6v4D6wUN0+sAOSanFtfxdwAVmt5P1DNVNK2gb4FLBvqm27hTW/V5ElzIXjnRYRJxQtX5/sGC1xsmZmZo30BO4DW80+sHOBbcvM/zVwpKR2Sd3APwC/Ae4GDkt91zYnG/xQ+rltwFYRcSdwBrAxsCFwO/CvRet1ARuRJZhL0v4OLlOWe4HpkrZL202QtEPR8h2A35c7B63KyZqZmTWS+8BWtw/sLZRJuICbyZoif0fWt+z0iHgGuIms79sjwNXAA2S3XSrWDlwt6WHgQbJ+fC8AXwa60qCF3wH7RMTv0jp/ILul0t2lBUm3djoeuDadm3uAvwFICd7yVDZLFFFae2xmZmbNKA0amBkR+49gmw0j4iVJk8hq26Y3KlmS9HHgxYi4tBGfn1ceYGBmZjZGRMTTym6RstEI7rX2kzQoowM4u8G1Wi+Qbkxur3HNmpmZmVmOuc+amZmZWY45WTMzMzPLMSdrZmZmZjnmZM3MzMwsx5ysmZmZmeWYkzUzMzOzHPv/AcQsfGLDA8dWAAAAAElFTkSuQmCC\n",
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+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "for pmp in sorted(df8_QV['variance-of-perceived-pivotality'].unique()):\n",
+ " pdf = df8_QV[df8_QV['variance-of-perceived-pivotality']==pmp]\n",
+ " f, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4))\n",
+ " sns.scatterplot(x=\"number-of-voters\", y=\"wellfare-loss\",\n",
+ " data=pdf, ax=ax1)\n",
+ "\n",
+ " sns.scatterplot(x=\"number-of-voters\", y=\"wellfare-loss\",\n",
+ " data=pdf, ax=ax2)\n",
+ " ax2.set(xscale=\"log\", xlabel = \"number-of-voters (log scale)\")\n",
+ " \n",
+ " f.suptitle(\"QV wellfare loss vs n voters, pmp={}\".format(pmp))\n",
+ " plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "## Wellfare loss of QV vs Variance of Percieved Pivotality"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "### Single Graph with four number-of-voters values"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 176,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "pdf = df8_QV[df8_QV['number-of-voters'].isin([11, 101, 501, 1001, 10001])].copy()\n",
+ "pdf['n_voters'] = pdf['number-of-voters'].apply(lambda n: \"=\" + str(n))\n",
+ "\n",
+ "\n",
+ "f, ax = plt.subplots(figsize=(4, 3))\n",
+ "sns.scatterplot(x=\"variance-of-pp\", y=\"wellfare-loss\",\n",
+ " hue=\"n_voters\",\n",
+ " legend='full',\n",
+ " ax=ax,\n",
+ " data = pdf)\n",
+ "\n",
+ "ax.set(ylim=(0,.22))\n",
+ "ax.set_xlabel(\"Variance of Percieved Pivotality\", fontsize=12)\n",
+ "ax.set_ylabel('Wellfare Loss', fontsize=12)\n",
+ "ax.tick_params(labelsize=10)\n",
+ "\n",
+ "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
+ "plt.savefig(\"figures/1QV_WL_vs_VMPP_prop8.png\", bbox_inches='tight', dpi=300)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "### Separate Graphs for Each number-of-voters value"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 98,
+ "metadata": {
+ "hidden": true,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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FR+8+v6DYLpc3Ncr32XmliaLEorVZ5B6ymwSLiot59pNNpYkCIHNvHh+tzYpiVDVDOJNFe2CrbzrTlZUhIteLyAbgAeBG36w0EVkhIh+KyLDydiAiU0RkqYgszcqq2j87vXUqSfXi6Ny8fpnyX5zejWb1rY8fU3O0bJiMSNmynu0akZxg930UK+w6cPio8j0Hjy4zZUX90g1VnaWq3YDbgDtd8fdAJ1UdCPwKeFFEGpWz7mxVzVDVjJYtq9au0CI1ie6tG/LUlSdx/YgTOK9fW164ZgijerYiLk6Cb8CYGNEouR73nd+bhHjvfduhaQrTx/amUYo1cifEx3HNaWllkmlifBzn9Glb8UoGAFENTyWLiAwF7lXV0W56GoCq/rGC5eOAvarauJx5i4CbVXVpRfvLyMjQpUsrnB2youJiCosUEcjNLyKvoJB68XE0SqlHSoLV95qa4cChQvbnF3KosIj6ifVokZqIBJ5uRCGeYlXqJ8bTJIpn67n5hazbuZ9ZH6wnJTGeG89Ip1Pz+iTVq5tnXiKyTFUzgi0Xzm+/JUC6iKQB24CJwGX+BUQkXVXXuclzgXWuvCWwR1WLRKQrkA5sDGOspeLj4oiPg505+fzi78tZ9t1eUhLiuePcnozt367O/jo7eKiQ77PzeWnpVto0Sua8fm1p1cgaBGNVg6R6NIiRxux9Bw/z1CebeOLDDRQUKaN6tuJPF/WjRZQuGklNrsfATk15dOJA4gTrGThEYTtKqlooIjcA7+BdOvu0qq4WkenAUlWdD9wgImcCBcBe4Eq3+nBguogUAMXAVFXdE65YA+UVFDFzwTqWfbe3dPrO1//LsPQWdTZZrM/K5YJZn1LsTkT/+vFG/nnDqbS0K0hMEFv3HOSxhetLpxd8vZPXlmdyzalpxEfxJsZYSaY1RViPlqq+BbwVUHa37/lNFaz3KvBqOGOrzIFDhSzZvPeo8g07c+ncvEEUIoqu3PwCZry3rjRRAGzPzmdVZjajelqyMJVbtuXoz9In63Zx2ZBOpNod7zWG/afKkZpUj1O6NT+qPL11wyhEExu0nAuI7ZJiE4ohXZodVTbyxFZW/VPDWLIoR3JCPNeN7Mbp3VsA0CilHg9f2p+m9SNfBbU/v4CcvILgC4ZRanICN41KL3MFSetGSfTrcNS1CMYcpV2TFKadcyIpCfHECYzt35ax/dsRb1cZ1ihhuxoq0qrraii/fQcPk19QhIjQtH4iifUil1sPHCrk2x/2M+O9bylWuGlUOj3bNopaP1UHDhWybV8ef/9iC20aJzF+UAdaWwO3CVF+QRHZeQWoQv0k66vKT9XrfiQnv5CUhHhSk+pFtG001KuhLFnEqA07czlrxoel7QQi8O8bh3Fi26NuNzHG1GBb9xzk0ic/5/vsfES8G4F/PrwbjSNUkxFqsrBqqBj1yrLMMg3KqvC3/3xHbUnuxhjv4pHf/+trvs/OB7zP+eOLNsTkHeWWLGJUu8ZHV/G0b5IS1RurjDHVK6+giHU79x9Vvn1fXhSiqZwlixg1pm8bOjRNKZ1u2ziZ8YM6RDEiY0x1a5ySyOjebcqUJcbH0a1l+Zfo7z14mC+37uPJDzewcute9kbwDMSuXYtRrRomM++6U/lmRw7FxUqvdo3sBjhjapnEel5fVdl5Bfxz5XbaNk7mDxf2Lbc7lIOHCnn20808umBdadlNo9L5+fCuEel63hq4TY11uLCYnLwCkhPjSE2yq2tMzZV32Os7Ky5OKuwGZUdOPqc/8EGZ7ueT6sXx0a0jq3RlYiz0DWVM2OzOPcRzn2/mra920L11KtPO6UmHptamY2qmlMR6QW9SVFUOF5Udp+RwUXHELnqxNgtT4+QdLmLmgvXMXLCe9TtzeeurHVz65Odk5R6KdmjGhE2DxHqc17dsV+rn9W1L/QjdCW9nFqbG2Z9fwLyVmWXKvs/OJyevkFZ1t0cWU8s1Skng3rG9OSmtGR9+m8Xp3Vtybt+2EbuBz5KFqXHi4oS2jVLIySt7yWH9xLo5HoGpO5qnJnHFyZ25eFAHkhPiIzowm1VDmRqnRWoSv7+wD4m+Hkt/NiyNVOty2tQBcXFC/aR6ER/B0z5dpkbq074xH906gnU7c2nXJIXmDRLr7FgjxkSCJQtTIyUnxNOmcQptGqcEX9gYU2VWDWWMMSYoSxbGGGOCCmuyEJExIrJWRNaLyO3lzJ8qIl+JyEoR+UREevnmTXPrrRWR0eGM0xhjTOXClixEJB6YBZwD9AIm+ZOB86Kq9lXVAcADwMNu3V7ARKA3MAZ43G3PGGNMFITzzGIIsF5VN6rqYWAOMM6/gKrm+CYbcGRY53HAHFU9pKqbgPVue8YYY6IgnFdDtQe2+qYzgZMDFxKR64FfAYnAGb51vwhYt305604BpgB06tSpWoI2xhhztKg3cKvqLFXtBtwG3HmM685W1QxVzWjZsmV4AjTGGBPWZLEN6Oib7uDKKjIHuOA41zXGGBNG4UwWS4B0EUkTkUS8Buv5/gVEJN03eS5QMqrHfGCiiCSJSBqQDiwOY6zGGGMqEbY2C1UtFJEbgHeAeOBpVV0tItOBpao6H7hBRM4ECoC9wJVu3dUi8jKwBigErlfVonDFaowxpnI2Up4xxtRhoY6UF/UGbmOMMbHPkoUxxpigLFkYY4wJypKFMcaYoCxZGGOMCcqShTHGmKAsWRhjjAnKkoUxxpigLFkYY4wJypKFMcaYoCxZGGOMCcqShTHGmKAsWRhjjAnKkoUxxpigLFkYY4wJypKFMcaYoCxZGGOMCSqsyUJExojIWhFZLyK3lzP/VyKyRkRWicgCEensm1ckIivdY37gusYYYyInbGNwi0g8MAs4C8gElojIfFVd41tsBZChqgdF5BfAA8AENy9PVQeEKz5jjDGhC+eZxRBgvapuVNXDwBxgnH8BVf1AVQ+6yS+ADmGMxxhjzHEKZ7JoD2z1TWe6sopcA/zbN50sIktF5AsRuSAcARpjjAlN2KqhjoWIXAFkAKf7ijur6jYR6QosFJGvVHVDwHpTgCkAnTp1ili8xhhT14TzzGIb0NE33cGVlSEiZwJ3AGNV9VBJuapuc383AouAgYHrqupsVc1Q1YyWLVtWb/TGGGNKhTNZLAHSRSRNRBKBiUCZq5pEZCDwJF6i2OkrbyoiSe55C+BUwN8wbowxJoLCVg2lqoUicgPwDhAPPK2qq0VkOrBUVecDDwKpwCsiArBFVccCPYEnRaQYL6HdH3AVlTHGmAgSVY12DNUiIyNDly5dGu0wjDGmRhGRZaqaEWw5u4PbGGNMUCElCxHp5mtDGCEiN4pIk/CGZowxJlaEembxKlAkIicAs/GucnoxbFEZY4yJKaEmi2JVLQQuBB5T1VuAtuELyxhjTCwJNVkUiMgk4ErgTVeWEJ6QjDHGxJpQk8XVwFDg96q6SUTSgBfCF5YxxphYEtJ9Fu4ehxvBu2EOaKiqfwpnYMYYY2JHqFdDLRKRRiLSDFgO/EVEHg5vaMYYY2JFqNVQjVU1BxgPPK+qJwNnhi8sY4wxsSTUZFFPRNoCl3KkgdsYY0wdEWqymI7Xx9MGVV3iug1fF76wjDHGxJJQG7hfAV7xTW8ELgpXUMYYY2JLqA3cHURknojsdI9XRcSGQDXGmDoi1GqoZ/DGomjnHm+4MmOMMXVAqMmipao+o6qF7vEsYEPTGWNMHRFqstgtIleISLx7XAHsDmdgxhhjYkeoyWIy3mWzO4DvgYvxugAxxhhTB4R6NdR3wNgwx2KMMSZGVZosROQxoMJxV1X1xiDrjwEexRuD+6+qen/A/F8B1wKFQBYw2SUmRORK4E636O9U9bnKX4oxxphwCXZmcdyDWotIPDALOAvIBJaIyHzXKWGJFUCGqh4UkV8ADwATXB9U9wAZeMlqmVt37/HGY4wx5vhVmizK+zUvIm1UdUcI2x4CrHc38CEic4BxQGmyUNUPfMt/AVzhno8G3lPVPW7d94AxwD9C2K8xxphqFmoDt99bIS7XHtjqm850ZRW5Bvj3sawrIlNEZKmILM3KygoxLGOMMcfqeJKFVHcQ7lLcDODBY1lPVWeraoaqZrRsabd9GGNMuBxPsvhLiMttAzr6pju4sjJE5EzgDmCsqh46lnWNMcZERsjJQkROE5GrVfVxEWnphlatzBIgXUTSRCQRmIjXZYh/mwOBJ/ESxU7frHeAs0WkqRuZ72xXZowxJgpCus9CREquTOqB1ydUAvA34NSK1lHVQhG5Ae9LPh54WlVXi8h0YKmqzserdkoFXhERgC2qOlZV94jIb/ESDsD0ksZuY4wxkSeqFd5GcWQhkZXAQGC5qg50ZatUtV+Y4wtZRkaGLl163Ff6GmNMnSQiy1Q1I9hyoVZDHVYvq6jbeIOqBGeMMaZmCTVZvCwiTwJNRORnwPuE3tBtjDGmhgu1b6iHROQsIAev3eJuVX0vrJEZY4yJGUGTheu2431VHQlYgjDGmDooaDWUqhYBxSLSOALxGGOMiUEhVUMBucBXro+mAyWFwXqdNcYYUzuEmixecw9jjDF1UKgN3DaWhDHG1GGh3sGdDvwR6AUkl5SratcwxWWMMSaGhHqfxTPA/+GNaDcSeB6vuw9jjDF1QKjJIkVVF+B1D/Kdqt4LnBu+sIwxxsSSUBu4D4lIHLDOdQ64Da8DQGOMMXVAqGcWNwH1gRuBwXjDn14ZrqCMMcbElkrPLETkBVX9CXCKqi7Bu9/i6ohEZowxJmYEO7MYLCLtgMluIKJm/kckAjTGGBN9wdosngAWAF2BZZQdf1tduTHGmFqu0jMLVZ2pqj3xRrnrqqppvoclCmOMqSOCtVmUVDXdUV61kw11aowxdUOwaqhluNHxKFsFBSFUQ4nIGOBRvDG4/6qq9wfMHw48AvQDJqrqXN+8IuArN7lFVccGidUYY0yYVJosVDXteDfsxsGYBZwFZAJLRGS+qq7xLbYFuAq4uZxN5KnqgOPdvzHG1AiH9kP2Nvjvq9D8BOg2ElJbRTuqowSrhhpU2XxVXV7J7CHAelXd6LY1BxgHlCYLVd3s5hWHGK8xxtQu25bDC+NAXSVO6z7wk9chtWV04woQrBrqz5XMU+CMSua3B7b6pjOBk0OMCyBZRJbi9Ud1v6q+HriAiEwBpgB06tTpGDZtjDEx4MBuWDj9SKIA+OG/kJ1Zs5KFG0o1Wjqr6jYR6QosFJGvVHWDfwFVnQ3MBsjIyNDyNmKMMbFLoajw6OLicsqiLKTuPkSkvojcKSKz3XS6iJwXZLVtQEffdAdXFhJV3eb+bgQWAQNDXdcYY2qE+s1heECTbdM0aBp7NSXH0kX5YeAUN70N+F2QdZYA6SKSJiKJwERgfig7c3eLJ7nnLYBT8bV1GGNMrSACXYbBNe9B/0kw6m6Y/Dakto52ZEcJtdfZbqo6QUQmAajqQREJvJS2DFUtdD3UvoN36ezTqrpaRKYDS1V1voicBMwDmgLni8h9qtob6Ak86Rq+4/DaLCxZGGNqn5Qm0HEItB8EEu8lkBgUarI4LCIpuHsuRKQbcCjYSqr6FvBWQNndvudL8KqnAtf7DOgbYmzGGFPzxYX6dRwdoUZ3D/A20FFE/o5XLXRVuIIyxhgTW0JNFlcC/wLmAhuBm1R1V9iiMsYYE1NCTRZPAcPw7sbuBqwQkY9U9dGwRWaMMaas/Gw4sAt2/Bfa9IYGLSG5cUR2HVKyUNUPROQj4CRgJDAV6I3X75MxxphwK8iHr+bCv351pOzcP8OAKyAhOey7D/U+iwXAp8AEYC1wkqqeGM7AjDHG+OTthffuKlv23t2Qvy8iuw/1PotVePdZ9MHrIbaPuzrKGGNMJGgRHD5QtuzwASguisjuQ0oWqvr/VHU4MB7YjXeTXmTSmTHGGEhoAF0DemDqOhISIvO7PaQ2C3dz3TBgMLAZeBr4OHxhGWOMKaN+Uxg/Gz57DDZ9BGnD4ZT/gfpHjUsXFqFeDZUMPAwsU9XY6+HKGGOORUEe5Od4Q7qlNIP4hGhHFJrUVnDGnd4YGEkNoV5SxHYd6tVQD4U7EGOMiYiDe+CLWfDF/0F8IpxxF/S5yOt2oyaolxTRJFEi1AZuY4ypHTZ9DB895DUO5+31LkU3cQi6AAAZzUlEQVTduznaUcU8SxbGmLqj8BCsfu3o8m/fjnwsNYwlC2NM3RGfCJ1+dHR5h5MiH0sNY8nCGFN3iECfi6HzqUfK+lwMbftHL6YaIrb7xDXGmOqW2hIufQEO54LEQVIqpDSNdlQxz5KFMabuadDce5iQWbIwpjbKzYLty2DnN9Djx9CorXddvjHHyZKFMbXNgd0w92rY7DpZWHAvXPYKpJ8VvZhU4UCW97d+DboJzpQKawO3iIwRkbUisl5Ebi9n/nARWS4ihSJyccC8K0VknXtcGc44jalV8nYfSRTgfUG/f483DkI0HMqFDQvgufPhLyO9m+EO7olOLOa4he3MQkTigVl4AyZlAktEZL6qrvEttgVveNabA9ZthjeUawbeuN/L3Lp7wxWvMbVG4eGjywryvF5LoyH3B/j7xV7SAq+b7cYdoM/46MRjjks4zyyGAOtVdaOqHgbmAOP8C6jqZlVdBRQHrDsaeE9V97gE8R4wJoyxGlN7pLaC5t3Klg39H0hpEZ14NnxwJFGUWPl3r38jU2OEs82iPbDVN50JnFyFddsHLiQiU4ApAJ06dTq+KI2pbVJbwVVvwdJnYOdqGPgT6DgE4uOjE0/LHkeXte4D9cI/upupPjW6gVtVZwOzATIyMjTI4sbUHQ3bwOm3QtHhiI13UKFWPaH7OfDtv73pZl3h5KnWyF3DhDNZbAM6+qY7uLJQ1x0RsO6iaonKmLoiLh7iYmBAywYtYNwsOJTt9c1Uv7l39mNqlHAmiyVAuoik4X35TwQuC3Hdd4A/iEjJbZVnA9OqP0RjqsnBPbB7A2z5HLoMg6ZdvMFqjMdugqvxwpYsVLXQjbD3DhAPPK2qq0VkOrBUVeeLyEnAPKApcL6I3KeqvVV1j4j8Fi/hAExXVbvWzsSmQ7ne6GWfPHykbNQ98KNfRL8KyJhqIhp4lUINlZGRoUuXLo12GKYuytkOj/aDooIjZQkpcOMKaNg2enEZEwIRWaaqGcGWq9EN3KYOKyqAg7u9L+oGLSC5sfeIBtWyiQK8uvna8TvMGMC6KDc11c418Nhg747gR/rCkr9CfnZ0YklsACeeV7as7yVeuTG1hJ1ZmJrnQBbMv9HrYrrEwt9Bv4nRObtIaQLnP+I1bG/8ANLPhl7jILlR5GMxJkwsWZiap7gI9m4qW6bFZZNHpDVoCUOmeDfAJdb3BtkxphaxaihT8yQ1hJ5jy5Y1aAHJTaITT4m4OEhqYInC1Ep2ZmFqnsQGMOpuqJcE37wJLbrDuQ97CcNUqKCggMzMTPLz86MdiomC5ORkOnToQELC8d05b5fOmprr8EE4lAPxSXYDXAg2bdpEw4YNad68OWJnP3WKqrJ79272799PWlpamXmhXjpr1VCm5kqs7/WBZIkiJPn5+ZYo6igRoXnz5lU6q7RkYUwdYomi7qrq/96ShTk2hflH34BmjKn1LFmY0OTnwNbFMO8X8N7dkL0VigPHrDKm+mzevJkXX3yxdHrp0qXceOONUYwouC5durBrV/UMX/vjH/+Yffv2Vcu2qoNdDWVC8/1KbwzlEqvmwC8+99oMjAmDkmRx2WVeZ9UZGRlkZARth6013nrrrWiHUIadWZjg8nPgkxllyw7ugcwl5S9vTAVuv/12Zs2aVTp977338uCDD3LLLbfQp08f+vbty0svvVS67Mcff8yAAQOYMWMGixYt4rzzzitdb/LkyYwYMYKuXbsyc+bM0m3+9re/pUePHpx22mlMmjSJhx566Kg4Nm/ezIknnshVV11F9+7dufzyy3n//fc59dRTSU9PZ/HixQAcOHCAyZMnM2TIEAYOHMg///lPAIqKirj55pvp06cP/fr147HHHivd9mOPPcagQYPo27cv33zzDQCLFy9m6NChDBw4kFNOOYW1a9cC8OyzzzJ+/HjGjBlDeno6t956a+l2Ss5SDhw4wLnnnkv//v3p06dP6fHp0qUL06ZNY8CAAWRkZLB8+XJGjx5Nt27deOKJJ6r+zwqkqrXiMXjwYDVhkr9f9R+Xqd7TqOxj3YJoR2aOwZo1a6Idgi5fvlyHDx9eOt2zZ0999tln9cwzz9TCwkLdsWOHduzYUbdv364ffPCBnnvuuaXL+qfvueceHTp0qObn52tWVpY2a9ZMDx8+rIsXL9b+/ftrXl6e5uTk6AknnKAPPvjgUXFs2rRJ4+PjddWqVVpUVKSDBg3Sq6++WouLi/X111/XcePGqarqtGnT9IUXXlBV1b1792p6errm5ubq448/rhdddJEWFBSoquru3btVVbVz5846c+ZMVVWdNWuWXnPNNaqqmp2dXbrse++9p+PHj1dV1WeeeUbT0tJ03759mpeXp506ddItW7aUbisrK0vnzp2r1157bWns+/btK53/+OOPq6rqL3/5S+3bt6/m5OTozp07tVWrVuUe//LeA3hDRgT9jrVqKBNcUiqMvAPWvesN0wnQ/ARo0ye6cZkaZ+DAgezcuZPt27eTlZVF06ZNWblyJZMmTSI+Pp7WrVtz+umns2TJEho1qrxvrXPPPZekpCSSkpJo1aoVP/zwA59++injxo0jOTmZ5ORkzj///ArXT0tLo2/fvgD07t2bUaNGISL07duXzZs3A/Duu+8yf/780rOT/Px8tmzZwvvvv8/UqVOpV8/7Cm3WrFnpdsePHw/A4MGDee211wDIzs7myiuvZN26dYgIBQVHLhIZNWoUjRt7fZr16tWL7777jo4djwwy2rdvX379619z2223cd555zFs2LDSeWPHji1dJjc3l4YNG9KwYUOSkpLYt28fTZpUX68GlixMaJp1hf9ZBl+/CamtIW2YDY1pjssll1zC3Llz2bFjBxMmTGDTpk3BVypHUlJS6fP4+HgKCwsrXHbr1q2liWPq1KmMGTOmzPpxcXGl03FxcaXbUlVeffVVevToccxx+WO66667GDlyJPPmzWPz5s2MGDEi5NfRvXt3li9fzltvvcWdd97JqFGjuPvuu8us648/8DVUF2uzMKFJSIYmnWDoddD3IksU5rhNmDCBOXPmMHfuXC655BKGDRvGSy+9RFFREVlZWXz00UcMGTKEhg0bsn///mPa9qmnnsobb7xBfn4+ubm5vPnmmwB07NiRlStXsnLlSqZOnRry9kaPHs1jjz2Gup4uVqxYAcBZZ53Fk08+WfqFvGdP5QN5Zmdn0759e8BrpzgW27dvp379+lxxxRXccsstLF++/JjWry5hTRYiMkZE1orIehG5vZz5SSLykpv/HxHp4sq7iEieiKx0jzC01hhjoqF3797s37+f9u3b07ZtWy688EL69etH//79OeOMM3jggQdo06YN/fr1Iz4+nv79+zNjxozgGwZOOukkxo4dS79+/TjnnHPo27dvaRXP8bjrrrsoKCigX79+9O7dm7vuuguAa6+9lk6dOpXG7b/Etzy33nor06ZNY+DAgcf8i/+rr75iyJAhDBgwgPvuu48777zzuF9PVYStbygRiQe+Bc4CMvHG056kqmt8y1wH9FPVqSIyEbhQVSe4pPGmqoZcKW59QxlTua+//pqePXtGO4ywy83NJTU1lYMHDzJ8+HBmz57NoEGDoh1WTCjvPRALfUMNAdar6kZVPQzMAcYFLDMOeM49nwuMEuuPwBhTBVOmTGHAgAEMGjSIiy66yBJFNQlnA3d7YKtvOhM4uaJlVLVQRLKB5m5emoisAHKAO1X148AdiMgUYApAp06dqjd6Y0yNFKxKyByfWL0a6nugk6ruFpHBwOsi0ltVc/wLqepsYDZ41VBRiDO89u+ALf8BLYLOp3hXIdmJlzEmCsKZLLYBHX3THVxZectkikg9oDGw290ocghAVZeJyAagO1B3GiX274C/jISc7d50g5bw84+gUbvoxmWMqZPC2WaxBEgXkTQRSQQmAvMDlpkPXOmeXwwsVFUVkZaugRwR6QqkAxvDGGvsWf3akUQBcCALVvwtevEYY+q0sJ1ZuDaIG4B3gHjgaVVdLSLT8W4vnw88BbwgIuuBPXgJBWA4MF1ECoBiYKqqVn4hc22TW07PlQeyQNWqoowxERfW+yxU9S1V7a6q3VT1967sbpcoUNV8Vb1EVU9Q1SGqutGVv6qqvVV1gKoOUtU3whlnTBp4OcT5crnEwUnXWKIwNdrkyZNp1aoVffoEvyr+m2++YejQoSQlJZXbGaCJLLuDO1Y1agtTPoRe4+DE8+BnH0DjjsHXM6aavL5iG6fev5C02//Fqfcv5PUVgU2Ox+6qq67i7bffDmnZZs2aMXPmTG6++eYq79dUnSWLWJVQ3+uo74InYPxsaDcAEhtEOypTR7y+YhvTXvuKbfvyUGDbvjymvfZVlRPG8OHDy3S6BzBixAhuuukmBgwYQJ8+fUq7B2/VqhUnnXQSCQkJZZYvr5tzO/MIP0sWsS6xviUJE3EPvrOWvIKiMmV5BUU8+M7asOzv4MGDrFy5kscff5zJkydXuuyECRN4+eWXS6dffvllJkyYEJa4zBGxep+FMSaKtu/LO6byqpo0aRLgnXnk5ORU2r12ed2c+7v0NuFhycIYc5R2TVLYVk5iaNckJSz7C+zlJ1ivP4HdnJvws2ooY8xRbhndg5SE+DJlKQnx3DI69HEdjkXJUKGffPIJjRs3DtpTbGA35yb87MzCGHOUCwZ6Yy88+M5atu/Lo12TFG4Z3aO0/HhNmjSJRYsWsWvXLjp06MB9990HQHJyMgMHDqSgoICnn34agB07dpCRkUFOTg5xcXE88sgjrFmzhkaNGh3VzbkJv7B1UR5p1kW5MZWL1S7KR4wYwUMPPURGRtBesk0VxWoX5cYYY2oJq4YyxkTVokWLoh2CCYEli4oUHIT9P8C3b3t3TnccYuNOG2PqLEsWFdn5NTx1NhS78XLb9ofLX4XUltGNyxhjosDaLMqTtxfev/dIogD4/kvY913UQjLGmGiyZBEobx/k58DhA0fPKzgY+XiMMSYGWLLwy9sHHz4A/7wOBl9Vdl5qa2gRnhuSjKlLMjMzGTduHOnp6XTt2pUbbriB7OxsmjdvTk5OmZGTueCCC0pv2DPRZcnCL28PfDELNn8C+dlw8TPQ83wYeoPXRbg1cJu6ZNXLMKMP3NvE+7vq5eDrBKGqjB8/ngsuuIB169axbt068vLyuPvuuxk9ejTz5s0rXTY7O5tPPvmE888/v8r7NVVnycIvN+vI83fvhI8ehNb94LRfQeP2NvCQqTtWvQxv3AjZWwH1/r5xY5UTxsKFC0lOTubqq68GID4+nhkzZvD8888zadIk5syZU7rsvHnzGD16NPXr16/SPk31sGTh17QzJKYemd65BgrzICm14nWMqY0WTIeCgI4EC/K88ipYvXo1gwcPLlPWqFEjunTpQuvWrVm+fDm7d+8GYM6cOaW90ZroC2uyEJExIrJWRNaLyO3lzE8SkZfc/P+ISBffvGmufK2IjA5nnKXi4uHKN6DTj6BROzj1Jhh6PdRLisjujYkZ2ZnHVl4NEhMTGTt2LHPnzmXXrl2sWLGC0aMj89E3wYXtPgsRiQdmAWcBmcASEZmvqmt8i10D7FXVE0RkIvAnYIKI9AImAr2BdsD7ItJdVcuOxlKdcnfC3y6CokNe43Zqa2g3EBq0CNsujYlZjTu4KqhyyqugV69ezJ07t0xZTk4OO3bsoEePHkyaNInf/va3qCrjxo07apQ8Ez3hPLMYAqxX1Y2qehiYA4wLWGYc8Jx7PhcYJV5H9uOAOap6SFU3Aevd9sJnz0bYsQqy1sLb02DuZHjrZu8yWmPqmlF3Q0LA2BUJKV55VTY7ahQHDx7k+eefB6CoqIhf//rX3HDDDaSkpDBixAjWrVvHrFmzrAoqxoQzWbQH/D9NMl1ZucuoaiGQDTQPcV1EZIqILBWRpVlZWYGzj82h3PLL/DfmGVNX9LsUzp/pdXWDeH/Pn+mVV4GIMG/ePObOnUt6ejrNmzcnLi6OO+64A4C4uDguvvhidu/ezemnn14NL8RUlxrd3YeqzgZmg9dFeZU21qYP1G8OB3cfKTv1l1C/WcXrGFOb9bu0ysmhPB07dmT+/PkAfPbZZ0yaNInly5czaNAgAB555BEeeeSRat+vqZpwJottgH9g3A6urLxlMkWkHtAY2B3iutWrQSv4+Yfw6WOQkwlDfu71B2WMCZtTTjmF776zbnRqgnAmiyVAuoik4X3RTwQuC1hmPnAl8DlwMbBQVVVE5gMvisjDeA3c6cDiMMYKcXHeqfbZv/OqnhLt2m5jjCkRtmShqoUicgPwDhAPPK2qq0VkOrBUVecDTwEviMh6YA9eQsEt9zKwBigErg/rlVB+9RKBxIjsyphIU1XEbi6tk6o6KqoNq2pMHbFp0yYaNmxI8+bNLWHUMarK7t272b9/P2lpaWXmhTqsao1u4DbGhK5Dhw5kZmZS5SsHTY2UnJxMhw7Hf5+MJQtj6oiEhISjflUaEyrrG8oYY0xQliyMMcYEZcnCGGNMULXmaigRyQKq6+6eFsCuatpWbWTHp2J2bCpnx6dy0Tg+nVW1ZbCFak2yqE4isjSUS8nqKjs+FbNjUzk7PpWL5eNj1VDGGGOCsmRhjDEmKEsW5Zsd7QBinB2fitmxqZwdn8rF7PGxNgtjjDFB2ZmFMcaYoCxZGGOMCarOJQsRGSMia0VkvYjcXs78JBF5yc3/j4h08c2b5srXisjoSMYdCcd7bETkLBFZJiJfub9nRDr2SKjKe8fN7yQiuSJyc6RijqQqfrb6icjnIrLavY+SIxl7uFXhs5UgIs+5Y/K1iEyLdOylVLXOPPDG1dgAdMUbtOJLoFfAMtcBT7jnE4GX3PNebvkkIM1tJz7arylGjs1AoJ173gfYFu3XE0vHxzd/LvAKcHO0X08sHR+8Dk1XAf3ddHP7bJUem8uAOe55fWAz0CUar6OunVkMAdar6kZVPQzMAcYFLDMOeM49nwuMEq/z/3F4/7RDqroJWO+2V1sc97FR1RWqut2VrwZSRCQpIlFHTlXeO4jIBcAmvONTG1Xl+JwNrFLVLwFUdbdGarCzyKjKsVGggRt2OgU4DOREJuyy6lqyaA9s9U1nurJyl1HVQiAb75dOKOvWZFU5Nn4XActV9VCY4oyW4z4+IpIK3AbcF4E4o6Uq75/ugIrIOyKyXERujUC8kVSVYzMXOAB8D2wBHlLVPeEOuDw2noWpNiLSG/gT3i9Fc8S9wAxVzbUR6spVDzgNOAk4CCxwo7ctiG5YMWEIUAS0A5oCH4vI+6q6MdKB1LUzi21AR990B1dW7jLu1K8xsDvEdWuyqhwbRKQDMA/4qapuCHu0kVeV43My8ICIbAZ+CfzGjU9fm1Tl+GQCH6nqLlU9CLwFDAp7xJFTlWNzGfC2qhao6k7gUyAqfUfVtWSxBEgXkTQRScRrSJofsMx84Er3/GJgoXqtS/OBie6qhTQgHVgcobgj4biPjYg0Af4F3K6qn0Ys4sg67uOjqsNUtYuqdgEeAf6gqv8bqcAjpCqfrXeAviJS331Rng6siVDckVCVY7MFOANARBoAPwK+iUjUgaJ9pUCkH8CPgW/xrk64w5VNB8a658l4V6ysx0sGXX3r3uHWWwucE+3XEivHBrgTr151pe/RKtqvJ1aOT8A27qUWXg1V1eMDXIHX+P9f4IFov5ZYOTZAqitfjZdAb4nWa7DuPowxxgRV16qhjDHGHAdLFsYYY4KyZGGMMSYoSxbGGGOCsmRhjDEmKEsWxpRDRN5y94/EDBH5h4isEpH/F+1YTN1jl84a4+M6bxNVLY52LH4i0gb4RFVPiHYspm6yMwtTK4nI/SJyvW/6XhG5U0QWuM7qvhKRcW5eFzfWwPN4N4V1FJHNItLCzX/djdOxWkSm+LaZKyK/F5EvReQLEWntyluLyDxX/qWInOLKrxCRxSKyUkSeFJH4cuJOFpFnXHwrRGSkm/Uu0N6tOyxgnS4i8o2I/N2NeTBXROq7eZtF5AG3vcUiYsnGHBdLFqa2egm41Dd9KV4X0Beq6iBgJPDnki7E8bpveVxVe6vqdwHbmqyqg/H65LlRREp62m0AfKGq/YGPgJ+58pnAh658ELBaRHoCE4BTVXUAXudwl5cT9/WAqmpfYBLwnHgDAY0FNqjqAFX9uJz1erj4e+J1YX2db162297/4nU3Yswxs2RhaiVVXQG0EpF2ItIf2AvsAP4gIquA9/G6hW7tVvlOVb+oYHM3isiXwBd4nb2lu/LDwJvu+TKgi3t+BvB/Lo4iVc0GRgGDgSUistJNdy1nX6cBf3PrfgN8h9eFdzBb9Ui/XH9z2ynxD9/foSFsy5ijWBflpjZ7Ba9TtjZ4ZxqXAy2Bwapa4HqBLRm+80B5GxCREcCZwFBVPSgii3zrFOiRRr8iKv88CfCcqpYZFlNELgTucZPXhvKiRKQj8IabfAJ4G2+QHD8N4bkxIbMzC1ObvYTXw+fFeImjMbDTJYqRQOcQttEY2OsSxYl4vX4GswD4BYCIxItIY1d2sYi0cuXNRKSzqs5zVUsDVHUp8DGuekpEugOd8DquLKWqW33rPOGKO4lIyVnDZcAnvlUm+P5+HkL8xhzFkoWptVR1NdAQb0zw74G/Axki8hXwU0Lr6vltoJ6IfA3cj1cVFcxNwEi3n2V44y2vweud911XDfYe0LacdR8H4ty6LwFXaWijDq4FrndxNsVVgzlN3T5vAuyyW3Nc7NJZY2o4EekCvKmqfcqZtxnIUNVdEQ7L1DJ2ZmGMMSYoO7MwxhgTlJ1ZGGOMCcqShTHGmKAsWRhjjAnKkoUxxpigLFkYY4wJ6v8Dlewz28xxvaoAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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+uoxOKrUxp4CLHpvJwu+CJ0+2a9aEl//naDq3TvzVPlK/VLbfkJaagrH7iI8WbyyXEAD+76NlDOzammYZ8f/JbtTnFDbkFHD+/33KnBVbySsq4Y2F67hh2ny27dx7W580TnO/3RJJCACbcgv56wdLKSqu2ycOJfmaZaQxsl+ncmXXnXwwrZvu3jLRtlmT3craNW1CWkpijkgb5ZFCTn4Ri9fnkGLGuu0F5cZ9sHgjBfqSSyXWbMuvpCyP4tJS0hv3/pVUoU3TJvz2zAGcPbQrc1dsZWS//ejRrmmlNxoO7Nqagzs15+t1OQA0z0jjpyccREYlV3fFQ6NMCkvW53Lmw/9m2pXDyUhLKZcEerVvRoraiKUSJx7Skbv+uZCikl3n4cYf2YOsJo3yayT7qF3zDE7uux8n991vr9N1aJHB3y77HgvXbGNbXjHDeralffPdjx7ipdF9mvOKSpj0YXCTzdRZq7jl1EP59SvBF71lZhp/PPcw2usyujpjU04Bi9fnsGxjLkcf1J52zZrQNAHtqpVp3yKDl356FHe/tojcgmL+33EH0q9zy6TEIg1bhxYZHNenY1KW3eiSQqoRubRr6qyVpKV0Z8oVw2mSlkKHFhm0baarj+qKzbkF/HzqfN7/egMAqSnGc5cdwRG92iUlnsz0VPp1bsWD5w+mtNRp3TRxe28iidLoGkKbpKXy4+MOpFl4089zM1dw7ZR5dGqZQaeWmaSnJueOUNnd5tyiSEIAKCl1fvPql2zOLdjLXPHXMjNdCaEeKCopYf32fJZuyGHd9nzyCouTHVK90OiOFNydZk1S+de1x/Dxkk20zExjWM+2dGihy1DL7MgvIq+ohGZN0hJyCdyeVPYl3p5XRB3vJUDqgNJS57+rt3PRYzPZUVBMRloKD44bzHF9Oux2s5iU1+iOFFZtyWPUnz7khHvfZ9rsVcxesYWUBF3qVR+s2ZrHxOc/Z/SDH3PrS/9l3fbdr7hJlP1aZdK5VflkffGRPWlbyWV8ItE25RbyP3+fy46CYMeioLiUn0+dz9adie82or5pVEcKeYXF3Pfm12zMCe5DmP3tFmZ/u4XRg7rQrplOLm/MKeDSpz7jy+92AEHXx2u35/PwBUNok4Tmkg4tMnnhJ0cy6f2lfLMhh3Ozu3F07/akJul5AVJ/lLizakv5HlpzCoopqHBTmOwurt8uMxtlZovMbImZ3bSX6X5oZm5mVd6CXRP5xaV8u3nnbuWrt+xe1hjlF5VEEkKZT77ZREFR8tpr9m+Vxc0/OJSHLhjCaYM6qy1fYpKRmkL2AW3KlXVtk0VWknqRrU/ilhTMLBV4CDgF6AuMM7O+lUzXArgG+E+8YinTKjOdc7O7litrkprCkO5t9jBH45KemrJb18vtmzch2a1rTdJSaKE+qWQftGnWhAfGDebYg9uH3/HWPD1hmDroi0E8m4+GAUvcfSmAmU0GxgALK0z3a+APwMQ4xgJASorx/b77kVtQzLOfrqBd8ybcdlpf2ibwxpC6rFVWOned0Z/rn59PqUNainH3DwdWetu9SF3XuXUWD543mILiUtJSU/Q5jlE8k0IXYGXU8CrgiOgJzGwI0M3d/2lme0wKZnYFcAVA9+7daxRUm2ZNuGh4D0YP6kJaqqk5Ikpmeirf77cfH/Vqx9pt+XRunUnLrHTS1IYv9VQrfb/3WdJONJtZCvBH4OKqpnX3ScAkCLrOrumy01JT6sxdy+7OxpwC8opKyUhLoVVWeqVPsEqU5hlpNM9IU8+fIo1UPJPCaqBb1HDXsKxMC6A/8F7YH/1+wAwzG+3ujeYpOss37eRHj/2HVVvyaNYklXvOGcSIPh1oqv50RCQJ4tku8BnQ28x6mlkT4DxgRtlId9/m7u3dvYe79wA+BRpVQtiSW8jE5+dHLp3LLSzhZ1PmsT1Pd16KSHLELSm4ezFwFfA68CUw1d0XmNmdZjY6XsutT4pKS/nvmm3lygqKS8kpUFIQkeSIaxuFu78KvFqh7PY9TDsinrHURZlpqQzv1Y53F+3q36d5RhotMtV0JCLJoctKkqhlVjq/PWsAR/RsCwQ31zw14XDaqBsHEUkS7ZIm2f6tsnj0R0MpKC4lxYz2zZvoQfAikjRKCnWA7pUQkbpCzUciIhKhpCAiIhFKCiIiEqGkICIiEUoKIiISoaQgIiIRSgoiIhKhpCAiIhFKCiIiEqGkICIiEUoKIiISoaQgIiIRSgoiIhKhpCAiIhFKCiIiEqGkICIiEUoKIiISoaQgIiIRSgoiIhKhpCAiIhFKCiIiEqGkICIiEUoKIiISoaQgIiIRSgoiIhKhpCAiIhFKCiIiEqGkICIiEUoKIiISoaQgIiIRSgoiIhKhpCAiIhFKCiIiEhHXpGBmo8xskZktMbObKhl/pZl9YWbzzOwjM+sbz3hERGTv4pYUzCwVeAg4BegLjKvkR/85dx/g7ocBdwN/jFc8IiJStXgeKQwDlrj7UncvBCYDY6IncPftUYPNAI9jPCIiUoW0ONbdBVgZNbwKOKLiRGb2U+DnQBPghMoqMrMrgCsAunfvXuuBiohIIOknmt39IXc/ELgRuHUP00xy92x3z+7QoUNiAxQRaUTimRRWA92ihruGZXsyGTgjjvGIiEgV4pkUPgN6m1lPM2sCnAfMiJ7AzHpHDZ4KLI5jPCIiUoW4nVNw92Izuwp4HUgFHnf3BWZ2JzDL3WcAV5nZSUARsAUYH694RESkavE80Yy7vwq8WqHs9qj318Rz+SIism+SfqJZRETqjpiSgpkdaGYZ4fsRZna1mbWOb2giIpJosR4pvACUmNlBwCSCq4qei1tUIiKSFLEmhVJ3LwbOBB5094nA/vELS0REkiHWpFBkZuMIrg56JSxLj09IIiKSLLEmhUuA4cBv3H2ZmfUEnolfWCIikgwxXZLq7guBqwHMrA3Qwt3/EM/AREQk8WK9+ug9M2tpZm2BOcBfzUzdXIuINDCxNh+1Cru5Pgt42t2PAE6KX1giIpIMsSaFNDPbHziXXSeaRUSkgYk1KdxJ0IfRN+7+mZn1Qp3XiYg0OLGeaH4eeD5qeCnww3gFJSIiyRHrieauZjbdzNaHrxfMrGu8gxMRkcSKtfnoCYJnIXQOXy+HZSIi0oDEmhQ6uPsT7l4cvp4E9FxMEZEGJtaksMnMLjSz1PB1IbApnoGJiEjixZoUJhBcjroW+A44m6DrCxERaUBivfroW2B0nGMREZEk22tSMLMHAd/TeHe/utYjEhGRpKnqSGFWQqIQEZE6Ya9Jwd2fqlhmZvu5+9r4hSQiIskS64nmaK/WehQiIlInVCcpWK1HISIidUJ1ksJfaz0KERGpE2K6JBXAzI4Gerv7w2bWAWju7sviF5qIiCRarB3i/RK4Ebg5LEoHno1XUCIikhyxNh+dSXDzWi6Au68BWsQrKBERSY5Yk0KhuzvhjWxm1ix+IYmISLLEmhSmmtmjQGszuxx4C51wFhFpcGLt++heMzsZ2A70AW539zfjGpmIiCRclUnBzFKBt9z9eECJQESkAauy+cjdS4BSM2uVgHhERCSJYr1PIQf4wszeJLwCCdRLqohIQxNrUngxfImISAMW64nm3XpLFRGRhifWO5p7m9k0M1toZkvLXjHMN8rMFpnZEjO7qZLxPw/r/NzM3jazA6qzEiIiUjtivU/hCeAvQDFwPPA0VXRzEV619BBwCtAXGGdmfStMNhfIdveBwDTg7thDFxGR2hZrUshy97cBc/dv3f0O4NQq5hkGLHH3pe5eCEwGxkRP4O7vuvvOcPBToGvsoYuISG2L9URzgZmlAIvN7CpgNdC8inm6ACujhlcBR+xl+kuBf8UYj4iIxEGsRwrXAE2Bq4GhwIXA+NoKwswuBLKBe/Yw/gozm2VmszZs2FBbixURkQr2mhTM7Jnw7ZHunuPuq9z9Enf/obt/WkXdq4FuUcNdw7KKyzgJuAUY7e4FlVXk7pPcPdvdszt06FDFYkVEpLqqOlIYamadgQlm1sbM2ka/qpj3M6C3mfU0sybAecCM6AnMbDDwKEFCWF/dlRARkdpR1TmFR4C3gV7AbMo/n9nD8kq5e3F4/uF1IBV43N0XmNmdwCx3n0HQXNQceN7MAFa4++jqroyIiNSMBY9JqGIis7+4+48TEE+VsrOzfdasWckOQ0SkXjGz2e6eXdV0ez1SiGoiuqWy5iJ331zN+EREpA6qqvloNuHT1ijfdARVNB+JiEj9s9ek4O49ExWIiIgkX1XNR0P2Nt7d59RuOCIikkxVNR/9717GOXBCLcYiIiJJVlXz0fGJCkRERJIv1q6zm5rZrWY2KRzubWanxTc0ERFJtH3pOrsQODIcXg3cFZeIREQkaWJNCge6+91AEUDY3XXFS1RFRKSeizUpFJpZFuE9C2Z2IFBp53UiIlJ/xfo8hV8CrwHdzOxvwFHAxfEKSkREkiPWpDAe+CfBIzOXAte4+8a4RSUiIkkRa1J4DDgGOBk4EJhrZh+4+5/iFpmIiCRcTEnB3d81sw+Aw4HjgSuBfoCSgohIAxJTUjCzt4FmwCfAh8DheiiOiEjDE+vVR58T3KfQHxgI9A+vRhIRkQYk1uajnwGYWQuCq46eAPYDMuIWmYiIJFyszUdXEZxoHgosBx4naEYSEZEGJNarjzKBPwKz3b04jvGIiEgSxdp8dG+8AxERkeSL9USziIg0AkoKIiISoaQgIiIRSgoiIhKhpCAiUhflbYHcDVBamtDFxnpJqoiIJEJhHmz4Et68DfK3wfd+Cn1GQVabhCxeRwoiInXJzg3w+Pdh+Uew9gt46UpY8UnCFq+kICINlzsU5kJpSbIjgeIC2LEWtnwLOeuD2CrzzTtQUlS+7LPHoGBH/GNEzUci0lDlboSv/glfvQI9joFB46B5h+TEUpQPy96HFy8PmoTa9IALX4B2B+0+besDdi9r0xNSm8Q9TNCRgog0RAU58M5v4OWrYfEbQfv8i5fBzk3JiSdvCzw/PkgIAFuWw4tXQG4l8ezXH7oP3zXcvCMcfS2kJab/UR0piEjDU5gD854pX7b0PSjcCU3bJSGeXCjKK1/23TworaQruWYdYOwzsH1NkNzaHRQkhgRRUhCRhiktq3zbvKUEr2TIaA6ZrXYdKQAccBSk7aFJqFmH4JUEaj4SkYYnqw2ccGv5smFXQEaL5MTTtB1cMA1adw+Gu2bDmIcTdpnpvtCRgog0PGkZMHBs0Da//EPokg3tD4LMlsmJJzU9iOGyt4IroVIzoFkSmrFioKQgIrWnICdoPzcLmj/MkhdLVuvgtf/A5MUQLSUFmndKdhRVUvORiNSOnA3w6nXwpwHwxKjghqui/GRHJfsorknBzEaZ2SIzW2JmN1Uy/lgzm2NmxWZ2djxjEZE4KsqHj+6D+ZODm7Q2fQNPj4G8zcmOTPZR3JKCmaUCDwGnAH2BcWbWt8JkK4CLgefiFYdIg+Ye3KS1M8k/vgXb4et/lS8rKYTN3yQnHqm2eB4pDAOWuPtSdy8EJgNjoidw9+Xu/jmQ2G4ARRqCvK2wYDo8exZMHhc01xTmJieWtEzoWHGfD2jZLfGxSI3EMyl0AVZGDa8Ky/aZmV1hZrPMbNaGDRtqJTiReu+7+TDtkuDvik/hiR8EfeskQ2ZLGPnbXZdcpqTC8bcGJ3qlXqkXVx+5+yRgEkB2dvYeepESaUSK82HW4+XLvDTo5+eoa5ITU5sD4NK3gruJ07OgSfPkXQIq1RbPpLAaiD527BqWiUhNpaRBu167l7etpCyRWnQC6v5ll7Jn8UwKnwG9zawnQTI4Dzg/jssTaTxS0uDwy+HzqbBtVVDWeTB0O4KioiJWrVpFfr4uB22MMjMz6dq1K+np6dWaP25Jwd2Lzewq4HUgFXjc3ReY2Z3ALHefYWaHA9OBNsDpZvYrd+8Xr5hEGpSWneHyd2DzsuAO3lZdoVkHVi1bRosWLejRoweWzJvHJOHcnU2bNrFq1Sp69uxZrTriek7B3V8FXq1QdnvU+88ImpVEpDqad9rtLtn8/HwlhEbKzGjXrh01uSBHdzSLNEBKCI1XTf/3SgoiIhKhpCAiSbN8+XKee25XhwazZs3i6quvTmJEVevRowcbN26slbqYiPFfAAAU3UlEQVR+8IMfsHXr1lqpq7bUi/sUROqMHeuCxzsWbIdDRwft+Xt6UIpUqSwpnH9+cGFidnY22dnZSY4qcV599dWqJ0owHSmIxGrHOvjr8TDjKnj9F/DQ4bBtZdXzNTI33XQTDz30UGT4jjvu4J577mHixIn079+fAQMGMGXKlMi0H374IYcddhj33Xcf7733HqeddlpkvgkTJjBixAh69erFAw88EKnz17/+NX369OHoo49m3Lhx3HvvvbvFsXz5cg455BAuvvhiDj74YC644ALeeustjjrqKHr37s3MmTMByM3NZcKECQwbNozBgwfzj3/8A4CSkhKuv/56+vfvz8CBA3nwwQcjdT/44IMMGTKEAQMG8NVXXwEwc+ZMhg8fzuDBgznyyCNZtGgRAE8++SRnnXUWo0aNonfv3txwww2ResqOOnJzczn11FMZNGgQ/fv3j2yfHj16cPPNN3PYYYeRnZ3NnDlzGDlyJAceeCCPPPJIzf9ZlXH3evUaOnSoiyTF/Knuv2xZ/jX9J+5F+cmOrJyFCxcmdflz5szxY489NjJ86KGH+pNPPuknnXSSFxcX+9q1a71bt26+Zs0af/fdd/3UU0+NTBs9/Mtf/tKHDx/u+fn5vmHDBm/btq0XFhb6zJkzfdCgQZ6Xl+fbt2/3gw46yO+5557d4li2bJmnpqb6559/7iUlJT5kyBC/5JJLvLS01F966SUfM2aMu7vffPPN/swzz7i7+5YtW7x3796ek5PjDz/8sP/whz/0oqIid3fftGmTu7sfcMAB/sADD7i7+0MPPeSXXnqpu7tv27YtMu2bb77pZ511lru7P/HEE96zZ0/funWr5+Xleffu3X3FihWRujZs2ODTpk3zyy67LBL71q1bI+Mffvhhd3e/9tprfcCAAb59+3Zfv369d+zYcY//g8o+AwS3AlT5G6vmI6nbcjfBju+CG7T2HwhZ7SA9IzmxFO2svMzVn2O0wYMHs379etasWcOGDRto06YN8+bNY9y4caSmptKpUyeOO+44PvvsM1q23Hs3GKeeeioZGRlkZGTQsWNH1q1bx8cff8yYMWPIzMwkMzOT008/fY/z9+zZkwEDBgDQr18/TjzxRMyMAQMGsHz5cgDeeOMNZsyYETnayM/PZ8WKFbz11ltceeWVpKUFP5Nt27aN1HvWWWcBMHToUF588UUAtm3bxvjx41m8eDFmRlHRrudDn3jiibRq1QqAvn378u2339Kt264OHwYMGMB1113HjTfeyGmnncYxxxwTGTd69OjINDk5ObRo0YIWLVqQkZHB1q1bad26dvuXUlKQumvnJnjtRvji+WA4LQMmvB7cuZsMvU+GjJbB+QQInip29LVBPz9SzjnnnMO0adNYu3YtY8eOZdmyZdWqJyNj1w5AamoqxcXFe5x25cqVkQRx5ZVXMmrUqHLzp6SkRIZTUlIidbk7L7zwAn369NnnuKJjuu222zj++OOZPn06y5cvZ8SIETGvx8EHH8ycOXN49dVXufXWWznxxBO5/fbby80bHX/FdahNOqcgdVfell0JAYKHt/zrxuQ9O6BZR/jxxzDsShg0Dv7fR9D2oOTEUseNHTuWyZMnM23aNM455xyOOeYYpkyZQklJCRs2bOCDDz5g2LBhtGjRgh07duxT3UcddRQvv/wy+fn55OTk8MorrwDQrVs35s2bx7x587jyyitjrm/kyJE8+OCDBC0sMHfuXABOPvlkHn300cgP7+bNe//cbdu2jS5dgo6gn3zyyX1apzVr1tC0aVMuvPBCJk6cyJw5c/Zp/tqkIwWpu/K27V6Wsw5KinYvT4TUtKBr6JG/AUohVVcd7Um/fv3YsWMHXbp0Yf/99+fMM8/kk08+YdCgQZgZd999N/vttx/t2rUjNTWVQYMGcfHFFzN4cNVHgYcffjijR49m4MCBdOrUiQEDBkSaZqrjtttu49prr2XgwIGUlpbSs2dPXnnlFS677DK+/vprBg4cSHp6OpdffjlXXXXVHuu54YYbGD9+PHfddRennnrqPsXwxRdfMHHiRFJSUkhPT+cvf/lLtdenpqwsO9YX2dnZPmvWrGSHIYmwYx08cmTwZLEyJ9wWdA2dWr3OvhqDL7/8kkMPPTTZYcRVTk4OzZs3Z+fOnRx77LFMmjSJIUOGJDusOqOyz4CZzXb3Kq/31ZGC1F3NOsBlb8NbdwSdvg0aBwPOUUIQrrjiChYuXEh+fj7jx49XQqhFSgpSd6WkQJseMPrPwUNlMttAamqyo5I6IPouaKldSgpS92U0D14iEndKClJewY7ggfDbVgUnVbNaQ5NmyY5KRBJESUF2KcqDhTNgxk/BPXi619hn4aCT1I4v0kjoPgXZJX8rvHp9kBAASouDfn52bkpuXCKSMEoKsktJ0e5dOeRuVDcOss8mTJhAx44d6d+/f5XTfvXVVwwfPpyMjIxKO7aTxFJSkF3SsmC/AeXLeh4XlEuD9dLc1Rz1+3foedM/Oer37/DS3NU1rvPiiy/mtddei2natm3b8sADD3D99dfXeLlSc0oKyVa4E7auhK/+Ceu/TF4XDgDNO8C4KdDvLGjVDQ67AM6aBE3bJC8miauX5q7m5he/YPXWPBxYvTWPm1/8osaJ4dhjjy3XgRzAiBEjuOaaazjssMPo379/pOvqjh07cvjhh5OeXv68VWVdcOtIIv6UFJLJHVZ9Bg8Mgsnnw8Pfg/fvDq7+SZZWXWD0g8FNY6fcAy32S14sEnf3vL6IvKKScmV5RSXc8/qiuCxv586dzJs3j4cffpgJEybsddqxY8cyderUyPDUqVMZO3ZsXOKSXZQUkil3A/zz51Aa9aWc+QgU5iQvJgjuCWjRCTJ0KWpDt2Zr3j6V19S4ceOA4Ehi+/bte30UZXQX3PPnz6dNmzblupuW+NAlqcnkpZCzvkKZB3fviiRA59ZZrK4kAXRuHZ/zSGa21+GKKnbBLfGnI4VkymgJh51fvqxNT8hokZx4pNGZOLIPWenluw7JSk9l4sjYny2wL8oeM/nRRx/RqlWrKns3rdgFt8SfjhSSqUlTOHYiNO8IC/8BnfrD8b8IHgYvkgBnDA76/7/n9UWs2ZpH59ZZTBzZJ1JeXePGjeO9995j48aNdO3alV/96lcAZGZmMnjwYIqKinj88ccBWLt2LdnZ2Wzfvp2UlBTuv/9+Fi5cSMuWLXfrglviT11n1wUlxcGNY+lZ6lJCaqyudp09YsQI7r33XrKzq+y9WWpIXWfXd6lp0Kx9sqMQEVFSEJHEeO+995IdgsRAJ5pFRCRCSUFERCKUFACKCyF/W/mbyEREGiGdU8hZB5/+BVbNgkNOhwE/1ElfEWm0GveRQu5GeG4sfHQfLP8QXrsB3vsdFOYmOzKRem/VqlWMGTOG3r1706tXL6666iq2bdtGu3bt2L59e7lpzzjjjMiNbZJcjTspFObCmrnly+Y+AwVJ7ntIJJE+nwr39Yc7Wgd/P59a9TxVcHfOOusszjjjDBYvXszixYvJy8vj9ttvZ+TIkUyfPj0y7bZt2/joo484/fTTa7xcqbnGmxR2bgKz4BUtoyXsvTsWkYbj86nw8tWwbSXgwd+Xr65xYnjnnXfIzMzkkksuASA1NZX77ruPp59+mnHjxjF58uTItNOnT2fkyJE0bdq0RsuU2tE4k0LOeph2KcyfDEMuLj9u5O8gq11SwhJJuLfvDJ7NHa0oLyivgQULFjB06NByZS1btqRHjx506tSJOXPmsGlT8JjXyZMnR3pPleSLa1Iws1FmtsjMlpjZTZWMzzCzKeH4/5hZj3jGAwSPnJz3N1j6LnxwN3QZAudPgdPug6tmwcEjgzuMRRqDbav2rbwWNGnShNGjRzNt2jQ2btzI3LlzGTlyZNyWJ/smbknBzFKBh4BTgL7AODPrW2GyS4Et7n4QcB/wh3jFE5GzDr79d/C+pAhm/A/MuDpoNmrfGzJbxj0EkTqjVdd9K49R3759mT17drmy7du3s3btWvr06RNpQpo2bRpjxozZ7alrkjzxPFIYBixx96XuXghMBsZUmGYM8FT4fhpwolXVwXpNFO6Ez5+HHkeXL89ZB+0PjttiReqsE28POmKMlp4VlNek2hNPZOfOnTz99NMAlJSUcN1113HVVVeRlZXFiBEjWLx4MQ899JCajuqYeCaFLsDKqOFVYVml07h7MbAN2K1B38yuMLNZZjZrw4YN1Y+ouAAWvw6d+gXPH05ND44Qvv8baN29+vWK1FcDz4XTHwieyY0Ff09/ICivATNj+vTpTJs2jd69e9OuXTtSUlK45ZZbAEhJSeHss89m06ZNHHfccbWwIlJb6kXjubtPAiZB0HV2tSvKag1DxsOUC+GIH8OPpgfdVnfsG4wTaYwGnlvjJFCZbt26MWPGDAD+/e9/M27cOObMmcOQIUMAuP/++7n//vtrfblSM/FMCquB6Aeqdg3LKptmlZmlAa2ATXGLyCw4kVz8O/js/2DNnOAoQQlBJK6OPPJIvv3222SHITGIZ1L4DOhtZj0JfvzPAyo8e5IZwHjgE+Bs4B2P91N/mraFIRfBoadBSroSgohIlLglBXcvNrOrgNeBVOBxd19gZncCs9x9BvAY8IyZLQE2EySO+EtJhWYdErIokWRwd+J5zYbUXTXdr47rOQV3fxV4tULZ7VHv8wE9jVukFmVmZrJp0ybatWunxNDIuDubNm0iMzOz2nXUixPNIhK7rl27smrVKmp0pZ7UW5mZmXTtWv37TJQURBqY9PR0evbsmewwpJ5qnH0fiYhIpZQUREQkQklBREQiLN63BdQ2M9sA1NZdMO2BjbVUV0OjbbN32j57p+2zZ8naNge4e5XX4te7pFCbzGyWu2cnO466SNtm77R99k7bZ8/q+rZR85GIiEQoKYiISERjTwqTkh1AHaZts3faPnun7bNndXrbNOpzCiIiUl5jP1IQEZEoSgoiIhLRIJOCmY0ys0VmtsTMbqpkfIaZTQnH/8fMekSNuzksX2RmIxMZd6JUd/uY2clmNtvMvgj/npDo2BOhJp+fcHx3M8sxs+sTFXOi1PC7NdDMPjGzBeFnqPpdedZRNfhupZvZU+F2+dLMbk507BHu3qBeBM9u+AboBTQB5gN9K0zzE+CR8P15wJTwfd9w+gygZ1hParLXqQ5tn8FA5/B9f2B1stenLm2fqPHTgOeB65O9PnVl2xB0vvk5MCgcbqfvVrntcz4wOXzfFFgO9EjGejTEI4VhwBJ3X+ruhcBkYEyFacYAT4XvpwEnWtDx/BiCf0yBuy8DloT1NSTV3j7uPtfd14TlC4AsM8tISNSJU5PPD2Z2BrCMYPs0NDXZNt8HPnf3+QDuvsndSxIUd6LUZPs40Cx8LHEWUAhsT0zY5TXEpNAFWBk1vCosq3Qady8GthHsucQyb31Xk+0T7YfAHHcviFOcyVLt7WNmzYEbgV8lIM5kqMln52DAzex1M5tjZjckIN5Eq8n2mQbkAt8BK4B73X1zvAOujJ6nIPvMzPoBfyDY+5Nd7gDuc/ccPfFsN2nA0cDhwE7gbTOb7e5vJzesOmMYUAJ0BtoAH5rZW+6+NNGBNMQjhdVAt6jhrmFZpdOEh2utgE0xzlvf1WT7YGZdgenARe7+TdyjTbyabJ8jgLvNbDlwLfCL8DnlDUVNts0q4AN33+juOwke0zsk7hEnVk22z/nAa+5e5O7rgY+BpPSP1BCTwmdAbzPraWZNCE7mzKgwzQxgfPj+bOAdD87wzADOC68Q6An0BmYmKO5Eqfb2MbPWwD+Bm9z944RFnFjV3j7ufoy793D3HsD9wG/d/c+JCjwBavLdeh0YYGZNwx/D44CFCYo7UWqyfVYAJwCYWTPge8BXCYm6omSfsY/HC/gB8DXBlQC3hGV3AqPD95kEV4csIfjR7xU17y3hfIuAU5K9LnVp+wC3ErR7zot6dUz2+tSV7VOhjjtoYFcf1XTbABcSnID/L3B3stelLm0foHlYvoAgWU5M1jqomwsREYloiM1HIiJSTUoKIiISoaQgIiIRSgoiIhKhpCAiIhFKCtKomdmr4f0XdYaZ/d3MPjeznyU7Fml8dEmqNEphJ2Tm7qXJjiWame0HfOTuByU7FmmcdKQg9ZqZ/d7Mfho1fIeZ3Wpmb4cdr31hZmPCcT3Cvu6fJriBqpuZLTez9uH4l8LnRCwwsyui6swxs9+Y2Xwz+9TMOoXlncxselg+38yODMsvNLOZZjbPzB41s9RK4s40syfC+Oaa2fHhqDeALuG8x1SYp4eZfWVmfwv73J9mZk3DccvN7O6wvplmpqQi1aKkIPXdFODcqOFzCbomPtPdhwDHA/9b1rU1QdclD7t7P3f/tkJdE9x9KEGfM1ebWVnPsM2AT919EPABcHlY/gDwflg+BFhgZocCY4Gj3P0wgk7OLqgk7p8C7u4DgHHAUxY8dGY08I27H+buH1YyX58w/kMJulb+SdS4bWF9fyboZkNknykpSL3m7nOBjmbW2cwGAVuAtcBvzexz4C2C7oo7hbN86+6f7qG6q81sPvApQadlvcPyQuCV8P1soEf4/gTgL2EcJe6+DTgRGAp8ZmbzwuFelSzraODZcN6vgG8Jupeuykrf1e/Us2E9Zf4e9Xd4DHWJ7EZdZ0tD8DxB52L7ERw5XAB0AIa6e1HYa2nZox9zK6vAzEYAJwHD3X2nmb0XNU+R7zr5VsLevzcGPOXu5R6naGZnAr8MBy+LZaXMrBvwcjj4CPAawcNYonkM70VipiMFaQimEPRIeTZBgmgFrA8TwvHAATHU0QrYEiaEQwh6qazK28CPAcws1cxahWVnm1nHsLytmR3g7tPDJqHD3H0W8CFhs5KZHQx0J+iEMcLdV0bN80hY3N3Myo4Czgc+ipplbNTfT2KIX2Q3SgpS77n7AqAFwTOjvwP+BmSb2RfARcTWBfFrQJqZfQn8nqAJqSrXAMeHy5lN8DzehQS9yb4RNl+9CexfybwPAynhvFOAiz22p9gtAn4axtmGsPkq1CZc5jWALmeVatElqSL1hJn1AF5x9/6VjFsOZLv7xgSHJQ2MjhRERCRCRwoiIhKhIwUREYlQUhARkQglBRERiVBSEBGRCCUFERGJ+P/abWWF2U+BYAAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "for n_voters in df8['number-of-voters'].unique():\n",
+ " ax = sns.scatterplot(x=\"variance-of-pp\", y=\"wellfare-loss\",\n",
+ " hue=\"voting-mechanism\",\n",
+ " data = df8[df8[\"number-of-voters\"] == n_voters])\n",
+ " ax.set_title('wellfare loss vs perceived pivotality, n_voters={}'.format(n_voters))\n",
+ " plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "# Wellfare Loss Prop8 Calibration, MP divided by various amounts"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "## The Data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 77,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": [
+ "df8 = pd.read_csv('2020.02.22-single-issue-QV-prop8-divide-mpp.csv')\n",
+ "cols_to_drop = ['minority-fraction', 'majority-mean-utility', 'majority-utility-stdev', 'minority-mean-utility',\n",
+ " 'minority-utility-stdev', 'limit-votes?', 'payoff-include-votes-cost?']\n",
+ "df8.drop(columns=cols_to_drop, inplace=True)\n",
+ "df8.rename(columns={'variance-of-perceived-pivotality': 'variance-of-pp'}, inplace=True)\n",
+ "df8['wellfare-loss'] = 1 - df8['mean payoff-sign-list']\n",
+ "df8_1p1v = df8[(df8['voting-mechanism'] == \"1p1v\")].copy().reset_index()\n",
+ "df8_QV = df8[(df8['voting-mechanism'] == \"QV\")].copy().reset_index()\n",
+ "df8_QV['mpp-str'] = df8_QV['mpp-divided'].apply(lambda x: \"=\" + str(x))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "## Wellfare loss of QV vs number of voters\n",
+ "\n",
+ "There doesn't seem to be any difference in WL depending on if perceived marginal pivotality is divided by 10, 100 or not."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 78,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": [
+ "def WL_vs_num_voters(pdf, title):\n",
+ " f, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 5))\n",
+ " sns.scatterplot(x=\"number-of-voters\", y=\"wellfare-loss\",\n",
+ "# hue='variance-of-pp',\n",
+ " hue=\"mpp-str\",\n",
+ " data=pdf, ax=ax1)\n",
+ "\n",
+ " sns.scatterplot(x=\"number-of-voters\", y=\"wellfare-loss\",\n",
+ "# hue='variance-of-pp',\n",
+ " hue=\"mpp-str\",\n",
+ " data=pdf, ax=ax2)\n",
+ " ax2.set(xscale=\"log\", xlabel = \"number-of-voters (log scale)\")\n",
+ "\n",
+ " plt.setp(ax1.get_legend().get_texts(), fontsize='10') # for legend text\n",
+ " plt.setp(ax1.get_legend().get_title(), fontsize='10') # for legend title\n",
+ " plt.setp(ax2.get_legend().get_texts(), fontsize='10') # for legend text\n",
+ " plt.setp(ax2.get_legend().get_title(), fontsize='10') # for legend title\n",
+ "\n",
+ " f.suptitle(title, y=1)\n",
+ "\n",
+ " f.tight_layout()\n",
+ " plt.show()\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 79,
+ "metadata": {
+ "hidden": true,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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yNFVW5nORNv+ynNdm1zV+d+YA343Dlv8/M7vf3R9PyF5NGHxHpE1SY0nasmcIQfjzhKsH+YwlfJZnu7vnzLuHcLB1rJl9h9B3vS9hpKAVBdQlc6PzgYQAUEXd1aPpwA/j853GAi+7+ydZy2YC1i6e9VyK1hQfsns6YRSrMZ71bBkz24fQWEqSu/8yMttwmLs/VLSK1i8734OBt87Jh7s/ATwRr5aMIRysfh14yMx2zlzdcveXgf8ys86Es+qHA2cC95rZqJTvx58I3S6PAG4jNLadMGjERvGzdyNwo5n1IRzYnhjzbxf/L6VU9Sbs1755ymiw75vQ3M964ueuCPt0KaHR0KuRPH8ifC6OI1yJPD4rPdvZhBMNx7t7vX0Yv1P5rr7l+04l+R/Cdp3v7pflrOM3tPwzlLnCti11V56SZN7H29392KYKdfdJhJMSjZWV+vvdyHr6N5WHpj/LSQf4fWl4RbBBfjMbTNMnjLK95e63ZP0/B9grzxX4HbPyNCWTZ8fcGfGBtDsA77j7mqbyJ63b3ZeZ2SJgsJlVuPuGFtQVwlX9bxDiZ73GUjyB2QMoSWwUaY6KprOIlM0thDOqp5pZ76QMMTB8Pyt/PTFY/JlwkHMkzeuCR2z8vEw4WDmI0Mf+H3H244TG2tcJNz9Pz1k80/1v30LW2UKDCN1FHvGGD+HcrxnlteY2zIqvB+TOiFcN9yZcIWhwddHdV7n7o+5+JmEI894kbJ+7r3X3p939B4T++V0IDec0/kQ44P1q/ByOI3TnezffAu6+yN3vcvfxcfvGmlkxz1Cnkbbes4DNzWxUQhmfzcqTURtfk65ytdrnpDn7NDa2XiUc9OW7KjeVMEDD8fHA7RjClbanc/LtEF/vzU6Mn9E9CtqY/PKtwwgnBVrqn/H10Cby/YuwT0Y3st/Savb3u5kGm1nu1ScIQ9NDOIGUq0Hd8uQfTLiClnbKbVg9EV+T9v9hOXka01g5YwjxLruc1wlXyvY3s+rszPH/zxIaV9lXmJ8gXO1L+i5n6tqga2Ue28bX9QnzhsbXRrtgipSTGkvSZrn7G4ShY7cCpsarJRvFqwW/Jpyteocw/G2STMPoO4QnnL9J+h/5bNNjXU4BnnH3tTH9H4TG07lZ+bLdROiuc7mZDc2Zh5ltYWa7N6M+jcl0SxkTD7Qy69qJusZlIe4hDDd9buymVI+ZVcez6wWL9xs8AYwys+NyZp9HOOs7ObO/zWyMmSV1Rcp8PlbHfHvEq32N5ktZvycJBybfIlxVzO3Khpk1OOsfD0S2IBwk1ObOb01p603dSYbLsw+MzWwXQjfHZYQGRUbmqul2CWUV9bNepH36JGGo/+FJM2MXxSlx/ncJJzz+nHCVOvOd2tgYj9+ty8l/NaNQDdYRnU36+8YacwuhC/K5ZlZvf1jwGQj3yAH/R2i81ftcZOXfJ17ZbVSh3+8i6EQYoCO7ruMIJ7lmuXvSQfkFZtY9K38/whXo1YR7JIFwz5K7WwHTwTnr+T3hM3tB9m+TmY0ETiA8nLVeY8nMds79LsX7Zp8BDjazQ7PyVhEeMgvhimwm/wbCyHRbELqy1tv2mP7bnPQb4uulMdZm1nEoYaCLx9z9zaz03eLJhnrMbHvC+wzx/skcmbiRppEoUh7NHRlCk6ZSTITAlxn5ZznhKtGlhED+dkxfCoxqopyZ1I3Oc34z63JkVhkX5MzLjD5U7/lKWfPHExpUawkNjysJV0IejOn/l5V3IEUYDY9wn5ITbjC/knClYQXhOVBJ5c8nz0hNcf4+hAPlDYQHlv6cMELXvYQD6odS7scG6yEMv7yYcCBxF6H72LRYz9znLN0T3/N7CQ9YvZK6bpIvEB+4S2hor4x1vZYwUMADsf5vA1sW8N6fFsvPPJ+mZ0KepXHbbifca/MrQjcVB36dcj2NjUDV6PvTgnpnP2fpFcKzgG4gfN/qPWcp5j8s5v03oaFwAVnDAhf4WT+QxkfpKsY+zTx36pxG8mRGtcw8O63BIwWAPQkDVKwk/CZdTfhuLaZuRMGBWfknxrSJedbZYNsJDdBlcT23EUY1nB7fu8x7dGCa/Uf+35FjYvmrCfdtXkY4UP43DZ+zlBlB7nXCwfdPCL8jr8f0bVK+B6m/3zH/zbn7M8U6WvKcpYeoe87SNbTSc5biOi+KZc+L67ue8F1bQ3ymXcI2rU8oZ1fqnnt3S3xvXon5f5OQvwd1z9l7KO6bh6j73Uwanv8m6v8u3BI/N0to+JD2Wwn3fk0h/PZeFf9eE8v4SZ798eeYJ/WDzTVpKvVU9gpo0pRmIhzM/IVwY/I66hotD5Hw0NmE5c+M+WuB/s2sQ+Z5S07DZxRdQJ7hcbPyDIsHAe/G4P0xYWjkK7IDD8VrLPWIQevtGOBmE268H5Sn/Pk0cTBOGFL2GsLVuTUxaL5CuMK3V8r9mLgeQheXW6gbiOKduK7cA6lxhJvH3yA0/pbFg4Dzqf88oH0IByKvUvdw2n8RDrr7pqlrVllbxn3owF/y5Dmd0ICbH/MuIhyMnQBYyvUUu7HUZL1jvirC2d/ZMf9SwsHsZ/PkP5dwcL02qc4FfNYPpPHGUjH2qREaWC82kqeS8NviNDI8O6Hh9Uz83C0m/CbtSMLBPc1oLMX03Qn3eCyJn+1phPvtJlGExlKct1es+yLC9/jd+P9+Ofk6Ea5KPkc4oK8hNCruIXQx65RvXzX3+x3zNtifKcrPNCweIfzG/SXuw5WEk1kNfp+oayx1IzR+F8T98RLh3rTU37UCv5cnEBrameeY3Q/s2cg2NWgsxfk7Exqfi+P345X4fjV4kGzM35MQEzLfy7cJjZoejXwvzqbud+FjwomLIQl5DyU0mObE78fauD/vJucRBlnLdI/vz+TW2teaNBVjMndHZFNjZnsSute8R2i45BsBSUQ6ODP7FuHAfE93f7Hc9ZHii13A1gGPesPub/mWeQrY19012FUZmNn/EK5qjvEw5LhIm6R7lmST5O4vEM7cDgGmleHmeRHZdNwAzCU8aFREyiw2bn9AuOKthpK0aTqbIpssd78j/uDuRBgBqNhDWotIO+Du68xsIuGG+GpvOEKkiJRWf+CPhC7VIm2auuGJiIjIJk3d8ESktaixJCIiIiIikkD3LImIiIiIiCTQpecS2GqrrXzgwIHlroaISEm88MILH7t7n3LXQwqjWCUiHUnaWKXGUgkMHDiQGTNmlLsaIiIlYWZvl7sOUjjFKhHpSNLGKnXDExERERERSaDGkoiIiIiISAI1lkRERERERBKosSQiIiIiIpJAjSUREREREZEEaiyJiIiIiIgk0NDhIrLJWb58OQsXLmTdunXlrkqHUlVVRd++fdl8883LXRURkU2C4lXpFTtWqbEkIpuU5cuX89FHH9GvXz+qq6sxs3JXqUNwd2pqaliwYAGAGkwiIk1QvCq91ohV6oYnIpuUhQsX0q9fP7p166bAU0JmRrdu3ejXrx8LFy4sd3VERNo8xavSa41YpcaSiGxS1q1bR3V1dbmr0WFVV1erO4mISAqKV+VTzFilxpKIbHJ0hq58tO9FRNLTb2Z5FHO/q7EkIiIiIiKSQI0lERERERGRBGosiYiIiIiIJFBjSUREREREJIEaSyIiIiIiIgnUWBIR6YCWLl3KddddV+5qiIiINKrc8UqNJRGRDqix4LN+/foS10ZERCRZueOVGksiImU0f/58dt55ZyZOnMhOO+3E8ccfzyOPPMJ+++3HjjvuyPPPP8+kSZM44YQTGDNmDDvuuCM33ngjANOnT2fs2LEcfvjhDB06lG984xts2LChwTpmz57N3nvvzahRoxg5ciRz5szhe9/7Hm+++SajRo3i3HPPZfr06RxwwAGMHz+eYcOGlXo3iIhIG9dh45W7a2rlac8993QRKY7XXnut3FUoqnnz5nllZaW//PLLXltb63vssYeffPLJvmHDBr/nnnv8iCOO8IsuushHjhzpq1at8kWLFnn//v19wYIF/vjjj3uXLl38zTff9PXr1/vBBx/sd955Z4N1nHHGGX7rrbe6u/uaNWt81apVPm/ePB8+fPjGPI8//rh369bN33rrrSbr3NR7AMzwNvDbq0mxSqScFK/KG6+KFat0ZUlEpMwGDRrErrvuSkVFBcOHD+fzn/88Zsauu+7K/PnzATjiiCOorq5mq6224qCDDuL5558HYO+992bw4MFUVlby3//93zz11FMNyh8zZgyXXXYZP/nJT3j77beprq5OrMfee+/NoEGDWm07RURk09YR45UaSyIiZdalS5eNf1dUVGz8v6KiYmN/bDOrt0zm/6T0KVOmMGrUKEaNGsWMGTM47rjjuPfee6muruaLX/wijz32WGI9unfvXrRtEhGR9qcjxquSN5bMbDszu8vMlpnZcjO728wGpFy2q5ldaWYfmFmNmT1rZmMT8p1jZn+N+dzMJuUp7+Y4P3f6RULe/c3smbjeD83s52aW3NwVESmyqVOnsnr1ahYvXsz06dPZa6+9AHj++eeZN28eGzZs4Pbbb2f//fdnwoQJzJo1i1mzZjF69GjeeustBg8ezLe//W2OOOIIXn75ZXr06MGKFSvKvFVtm+KViEjh2lu8Kmljycy6AY8BOwMnAScAOwKPm1maJuLvgFOBC4EvAR8A08xsVE6+U4G+wD0pylwEjMmZrs6p90jgb8DCuN4LgJOBm1OULyLSYiNHjuSggw5i33335Yc//CHbbrstAHvttRdnnHEGu+yyC4MGDWLChAkNlr3jjjsYMWIEo0aN4tVXX+XEE0+kd+/e7LfffowYMYJzzz231JvT5ileiYg0T7uLV2lubCrWBJwF1AJDstIGAeuBc5pYdjfAgZOz0joBbwD35uStyJrvwKQ8Zd4MvJei3lOAOUBVVtqJsew9mlpeN82KFE97u2E2jYsuusivvPLKBumPP/64H3744SWvT0cY4KEjxivFKpHiUryqU454takO8DAeeM7d52YS3H0e8DRwRIpl1wG3Zy27HpgMjDOzLlnpDccibCYzqwK+ANzh7uuyZt0BrE1R7+apWQLvPAcPfh9enQIrF7XKakREJJHilTStZikseCHE6pfvhE8Vq0Xam04lXt9wYGpC+mzgqBTLznP3VQnLdgaGxL8L1dfMPgZ6Am8Ruk5c5e61cf4OQFfg1eyF3H21mb0JFH+A9/Vrw4/ug/FS4z+ugx0PhSP/D7r3LvrqRKRtmzRpUmL6gQceyIEHHljSunQgilfSuNpaeP1+mPrNurTt94Ojb4HuW5WvXiJl1B7jVakbS72AJQnpnwBbtmDZzPxCzQJeIAStrsAE4HJCv/Sv5ZSbb93NWW/jVi+BJy6vnzbnYVi3ElBjSUSkBBSvpHGrPobpObH67adhzXI1lkTakVI3ltoUd88dRegBM/sUONvMfuLuc5pbtpmdBpwGMGBAqsGTciuXLk1ERNq91opXLY5VHV1SL0rFapF2pdT3LC0h+YxcvrNwaZeFujN2LXVbfB2dtV4aWXfiet39Bncf7e6j+/TpU1gNum4J+59TP23QWOisZ6CIiJRIh4hXLYpVHV233jD2f+un9RsNXTcvT31EpFWU+srSbEJf7lzDgNdSLDvBzLrl9AMfRrhxdW7yYs2WOTX0JrCGnHqbWVdgMHBnkdcLnTrD7l+Fz4wM9y4N2AeGHqbL+iIipaN4JY2r7ATDJ8BWO8FLk6HfHrDzl6C7Gp0i7UmpryzdC+xrZoMzCWY2ENgvzmvMX4Eqsm6sNbNOwDHAw+6+pkh1PJ4QeP4J4O5rgYeAo+P6Mr4CdElR7+bp1gsGHwhHXAN7nKgfXxGR0lK8kqZVbwkD94fxv4bRp8BmfctdIxEpslJfWboROAOYamYXEH7kLwHeBa7PZDKz7QlnyC5294sB3H2mmd0O/CIOjzoPOJ3w3Ivjs1diZqOBgdQ1BoeZ2Vfi3w+4+6q4jj8ShnKdSwgkE4CJwPXu/mZWkZOA54A7zOzaWPaVwF3u/kLLdkkTzFq1eBERSaR4JekpVou0WyVtLLn7SjP7HOGJ438EDHgUONvdP83KakAlDa98nQxcCvyYMHTqS8AX3P3FnHxnEJ64nnEUdWf4BgHzgRWE/tvnAVsDG4DIGIduAAAgAElEQVTXgW8D1+XUe5aZHQr8BLgfWAbcAvwg/daLiMimQvFKRESgDKPhufs7wJebyDOfEIBy02uAc+LU2PITCWfcGsvzCXBko5Wtn//vwJi0+UVEZNOmeCUiIqW+Z0lERERERGSToMaSiIiIiIhIAjWWRKTDu2fmAva74jEGfe9+9rviMe6ZuaDcVQLgzjvvZPjw4VRUVDBjxoxyV0dERMqorcYqaN/xSo0lEenQ7pm5gO/f/QoLltbgwIKlNXz/7lfaRBAaMWIEd999N2PHji13VUREpIzacqyC9h2v1FgSkQ7tymlvULOutl5azbparpz2RplqVGeXXXZh6NCh5a6GiIiUWVuOVdC+41XJR8MTEWlL3l9aU1B6sR1wwAGsWLGiQfpVV13FwQcfXJI6iIhI21buWAUdN16psSQiHdq2PatZkBBstu1ZXZL1P/nkkyVZj4iIbLrKHaug48YrNZZEpEM7d9xQvn/3K/W6N1RXVXLuuNJ0J+ioZ+pERCS9cscq6LjxSo0lEenQjty9HxD6g7+/tIZte1Zz7rihG9NbW0c9UyciIumVO1ZBx41XaiyJSId35O79Shpw0poyZQpnnnkmixYt4vDDD2fUqFFMmzat3NUSEZEyaKuxCtp3vFJjSUSkjZowYQITJkwodzVEREQa1Z7jlYYOFxERERERSaDGkoiIiIiISAI1lkRERERERBKosSQiIiIiIpJAjSUREREREZEEaiyJiIiIiIgkUGNJREREREQkgRpLIiIiIiIiCdRYEhERERERSaDGkoiIiIiISAI1lkRERERERBKosSQiIiIiIpKg5I0lM9vOzO4ys2VmttzM7jazASmX7WpmV5rZB2ZWY2bPmtnYhHznmNlfYz43s0kJeTY3swvN7BkzW2xmS+PfRybknRTLyZ3uadZOEBFJ4c4772T48OFUVFQwY8aMevMuv/xyhgwZwtChQ5k2bVqZati+KV6JiKTTnuNVSRtLZtYNeAzYGTgJOAHYEXjczLqnKOJ3wKnAhcCXgA+AaWY2KiffqUBfoLHgMAD4JvAE8FXgGODfwBQz+1aeZfYHxmRN301RZxFp616+A64eAZN6hteX7yh3jQAYMWIEd999N2PH1j/Gfu2115g8eTKzZ8/moYce4pvf/Ca1tbVlqmX7pHglIm1OG41V0L7jVacSr+9UYDAw1N3nApjZy8Ac4OvAz/MtaGa7AccBp7j7TTHtCWA2cDEwPiv7cHffYGadgG/kKXIeMNjdV2WlTTOz7YDzgGsTlvmHu69vejNFZJPx8h3w12/Duprw/7J3w/8AI48uX72AXXbZJTF96tSpHHvssXTp0oVBgwYxZMgQnn/+ecaMGVPiGrZrilci0na04VgF7Ttelbob3njguUzgAXD3ecDTwBEpll0H3J617HpgMjDOzLpkpW9oqiLuvjIn8GTMALZtankRaScevbgu+GSsqwnpJXDAAQcwatSoBtMjjzySd5kFCxaw3Xbbbfy/f//+LFiwoBTV7UgUr0Sk7ShzrIKOG69KfWVpODA1IX02cFSKZeclBIzZQGdgSPy7pcYCr+eZ966Z9QXeIwS9Se5ekyeviGwKlr1XWHqRPfnkkyVZjxRM8UpE2o4yxyrouPGq1I2lXsCShPRPgC1bsGxmfouY2WnAvoQ+4dnmAt8DZgIOHAp8B9gDOKSl6xWRMtqif+jOkJReAgcccAArVqxokH7VVVdx8MEHJy7Tr18/3n23rs7vvfce/fr1a7U6dlCKVyLSdpQ5VkHHjVelbiy1WWZ2IPAr4BZ3/1P2PHe/NSf738zsPeAXZnawuze4/hgD2WkAAwakGjxJRMrh8xfW7wcOUFUd0kugOWfqxo8fz3HHHcc555zD+++/z5w5c9h7771boXbSFhUzXilWiWwiyhyroOPGq1Lfs7SE5DNy+c7CpV0W6s7YFczM9gLuJYx89LWUi90WX/dKmunuN7j7aHcf3adPn+ZWTURa28ij4T9/BVtsB1h4/c9ftYkbZqdMmUL//v159tlnOfzwwxk3bhwAw4cP5+ijj2bYsGF84Qtf4Nprr6WysrLMtW13OkS8UqwS2US04VgF7TtelfrK0mxCX+5cw4DXUiw7wcy65fQDHwasJXQ9KJiZ7QpMA2YBX3b3dQUW4c1Zr4i0ISOPbjMBJ9uECROYMGFC4rzzzz+f888/v8Q16lAUr0SkbWmjsQrad7wq9ZWle4F9zWxwJsHMBgL7xXmN+StQRdaNtXGo1WOAh919TaGVMbMdgb8BbwFfKvDm1+Pj6/OFrldERNo8xSsRESn5laUbgTOAqWZ2AeEs1yXAu8D1mUxmtj3wJnCxu18M4O4zzex2Qr/rKsJzJ04HBlEXCDLLjwYGUtcYHGZmX4l/P+Duq+IoQX8jjEx0UcyTXczMTEAzs5nALcAbsc6HAGcCD7n7Yy3dKSIi0uYoXomISGkbS+6+0sw+B1wN/BEw4FHgbHf/NCurAZU0vPJ1MnAp8GOgJ/AS8AV3fzEn3xmEJ65nHEXdGb5BwHxCd4jtY9p9CdXN5IMQdM4APhPr9BbhwYI/bWx7RURk06R4JSIiUIbR8Nz9HeDLTeSZTwhAuek1wDlxamz5icDEJvJMT1pHnrzHpsknIiLth+KViIiU+p4lERERERGRTYIaSyIiIiIiIgnUWBIREREREUmgxpKIiIiIiEgCNZZEREREREQSqLEkIiIiIiKSQI0lERERERGRBGosiYiIiIiIJFBjSUSkjbrzzjsZPnw4FRUVzJgxo968yy+/nCFDhjB06FCmTZu2Mf2hhx5i6NChDBkyhCuuuKLUVRYRkQ6oPccrNZZEpMO7/637OfSuQxn5h5Eceteh3P/W/eWuEgAjRozg7rvvZuzYsfXSX3vtNSZPnszs2bN56KGH+OY3v0ltbS21tbV861vf4sEHH+S1117jtttu47XXXitT7UVEpJjaaqyC9h2vOpW7AiIi5XT/W/cz6ZlJrK5dDcAHKz9g0jOTADh88OFlrBnssssuielTp07l2GOPpUuXLgwaNIghQ4bw/PPPAzBkyBAGDx4MwLHHHsvUqVMZNmxYyeosIiLF15ZjFbTveKXGkoh0aL988Zcbg0/G6trV/PLFX5YkAB1wwAGsWLGiQfpVV13FwQcfnLjMggUL2HfffTf+379/fxYsWADAdtttVy/9H//4R5FrLCIipVbuWAUdN16psSQiHdqHKz8sKL3YnnzyyZKsR0RENl3ljlXQceOVGksi0qFt030bPlj5QWJ6KTTnTF2/fv149913N/7/3nvv0a9fP4C86SIisukqd6yCjhuv1FgSkQ7trD3OqtcPHKBrZVfO2uOskqy/OWfqxo8fz3HHHcc555zD+++/z5w5c9h7771xd+bMmcO8efPo168fkydP5s9//nMr1FpEREqp3LEKOm68UmNJRDq0TF/vX774Sz5c+SHbdN+Gs/Y4q03cMDtlyhTOPPNMFi1axOGHH86oUaOYNm0aw4cP5+ijj2bYsGF06tSJa6+9lsrKSgCuueYaxo0bR21tLaeccgrDhw8v81aIiEhLteVYBe07Xpm7l7sO7d7o0aM9d8x5EWmef/3rX3lH3ZHSaOo9MLMX3H10CaskRaBYJVJcilflVaxYpecsiYiIiIiIJEjdWDKz/zCzL2X939vMbjOzV8zsKjOrbJ0qioiIpKNYJSIixVTIlaUrgD2z/r8S+CLwb+B04AdFrJeIiEhzKFaJiEjRFNJY2gWYAWBmVcBXgO+4+5eB84Hjil89ERGRgihWiYhI0RTSWNoMWB7/3hvoDtwX/38RGFDEeomI5KWBacpnE9j3ilUi0mZsAr+Z7VIx93shjaUFwG7x78OAV919Yfx/S2BV0WolIpJHVVUVNTU15a5Gh1VTU0NVVVW5q9EYxSoRaRMUr8qnmLGqkMbSbcBlZnYXcA5wa9a8PYA5aQoxs+3M7C4zW2Zmy83sbjNLdabPzLqa2ZVm9oGZ1ZjZs2Y2NiHfOWb215jPzWxSI2UeaWYzzWy1mb1tZhck3QBsZvub2TNxvR+a2c/NrDpNvUWkePr27cuCBQtYtWqVztiVkLuzatUqFixYQN++fctdncYUJVaB4pWItIziVem1Rqwq5KG0k4DVwL6EG2h/njVvN+DOpgows27AY8Aa4CTAgR8Dj5vZSHdf2UQRvwMOB84F3gK+BUwzszHuPisr36mEbhj3AN9opD7jgL/Ecs8BdgcuA3oA52XlGwn8DZgGfAkYRLhpuB9wTFPbLSLFs/nmmwPw/vvvs27dujLXpmOpqqpi66233vgetFGTaGGsAsUrEWk5xavyKHasKulDac3sLELgGuruc2PaIMKZvu+6+88bWXY3YBZwirvfFNM6AbOBN9x9fFbeCnffEOevA37k7pMSypwJLHf3z2alXQhcAAxw9w9j2hRgBDDM3dfFtBOBPwB7uvuLjW23HvQnIh1Je3gobUeMV4pVItKRFP2htGa2VW73AzP7upn9OvuZFk0YDzyXCTwA7j4PeBo4IsWy64Dbs5ZdD0wGxplZl6z0DU1VxMy2A0ZRv4sGwB+BKkJf98xoSl8A7sgEnugOYG2Kehds1bpVLFy1kDc+eYOFqxayev3qYq9CRKRdKlKsAsWrVD6u+Zg3l77JeyveY+nqpcUuXkSk7Aq5Z+n3wPcy/5jZD4HfEIZhnWpmaS7vDwdeTUifDQxLsew8d8+9OXc20BkYkmL9ueWRW58YDFdl1WcHoGtCvtXAmynqXZC1tWt55v1nGPeXcXzlr1/hi3d/kZkLZ7J+w/pirkZEpL0qRqwCxasmfbTyI0544ASOnHokh919GFc8fwVLVi8p5ipERMqukMbSaODRrP+/AVzm7r2Bawl9qJvSC0j6Jf2EMEpRc5fNzC9EJn9SmUuy5jeW75NmrLdRS9cs5YdP/3Bj42hN7Rp+8NQPdMZORCSdYsQqULxq1JraNfz2ld/y3qfvbUy7f979LPh0QbFWISLSJhTSWOoFfARgZiOAbQh9oCHcmDq0uFXbtJnZaWY2w8xmLFq0KPVy6zas49N1n9ZL+7jmY2q9tthVFBFpjxSrCtDcWLV6/WrmLG04sOD8ZfOLWDsRkfIrpLG0GOgf//4c8L67Z34pq1KWtYTkM3L5zsKlXRbqztillVlfUplbZpXXWL5e+dbr7je4+2h3H92nT5/Ulepa2ZUdeu5QL223PrvRubJz6jJERDqwYsQq6CDxqrmxqkfnHnxx0BfrpVVaJbv33T11GSIim4JCGkuPAJPM7Azg/xHO0GXsDLydoozZ1PW9zjYMeC3FsoPicK65y64F5jZcpMnyyK2PmQ0EumXV503C0LG5+boCg1PUuyC9q3tz7eevZb9t92Pzzpvzue0+x1WfvYotuzbV60NERChOrALFq0ZVWAWHbH8Ip+92Or279maHnjtw/SHXK1aJSLtTSGPpu8C7wOWEH+QfZc07HngqRRn3Avua2eBMQvyx3y/Oa8xfCWcFj8pathPhuREPu/uaFOvfyN3fAV6Kdc/2VcIoRg/GfGuBh4Cj4/oyvgJ0SVHvgvXbrB8/HftT7jniHi7d/1K26b5NsVchItJeFSNWgeJVk7bsuiVf2/Vr3Pmfd/K7Q3/HPp/Zh25Vue1DEZFNW+qH0rr7R8AheWYfTHgIYFNuBM4gjEh0AeEhf5cQAtv1mUxmtj0hyF3s7hfH9c80s9uBX8ThUecBpxMeuFcvgJjZaGAgdY3BYWb2lfj3A1kjFP0AuM/Mric89X13wjMrfpl5ZkU0CXgOuMPMro1lXwnc5e4vpNjugm3epU0/9FFEpE0qUqwCxatUOld2pk+39N33REQ2NakbSxlmZoSuBJn+z6+5+/I0y7r7SjP7HHA14fkQRhi16Gx3zx7VwIBKGl75Ohm4lPAU9Z6EM21fSHjI3hmEJ65nHEXdGb5BwPxYnwdiULoImEi4KfiyuI7ses8ys0OBnwD3A8uAWwjBS0RE2piWxCpQvBIRkcDcPX1ms68RfvizTyMtBC5w998VuW7thp6KLiIdSdqnorfi+hWrmkGxSkQ6krSxKvWVJTM7HriBcGbtVuBDwpCsxwM3mNkqd7+tmfUVERFpMcUqEREppkK64X0X+JO7n5CT/gcz+yNwHqEftYiISLkoVomISNEUMhreUMJZuiS3ogf9iYhI+SlWiYhI0RTSWFpB3YP+cvWP80VERMpJsUpERIqmkMbSg8BlZnZAdqKZjSHcSPtgMSsmdZavWc7S1UvLXQ0RkU2BYpW0e2vWr+GTmk9YvT7tSPgi0lyF3rO0LzDdzBYAHxBumu1PeBr5d4tfvY5t1bpVzFk6h1+9+CvW1K7h1F1PZY+t96BH5x7lrpqISFulWCXt2uKaxdw8+2aeef8Zdu+7O18f+XU960qkFRXyUNoPzWwUcApwAOHZFfOBJ4Cbsx6cJ0WyqGYRJz14ErVeC8AZj53BLYfdwu59dy9zzURE2ibFKmnPlq9ZzqRnJjH9vekA/HvJv/nX4n/x68//ml5de5W3ciLtVEEPpY1B5po4SSt7eP7DGxtKGZNfn8yI3iOoqqwqU61ERNo2xSppr1bXruaJ956ol/byxy+rO55IKyrkniUpsX6b9WuQ1r9Hfyqtsgy1ERERkXIyjM27bF4vrUtlFzpVFHTuW0QK0Oi3y8zmAZ6yLHf3HVpeJcnY5zP7MKTnEOYunQvA1t225uihR1NRoTauiEiGYpV0FFt23ZLz9zmf8/5+Hh4/8mftcRY9qnQvs0hraepUxBOkD0BSZL2re/PbQ3/LOyveYW3tWnbouQNbVW9V7mqJiLQ1ilXSIXSq6MTY/mN58L8e5N9L/s0OPXegZ9eeVFdVl7tqIu1Wo40ld59YonpIHr2re9O7une5qyEi0mYpVklH0r2qO92rutOvR8Ou+iJSfM3uz2VmA8xMnWRFRKTNUqwSEZGWaFZjycwqgXnAyOJWR0REpDgUq0REpKVaMlKAFa0WIiIirUOxSkREmq0ljSXdTCsiIm2dYpWIiDSbriyJiEh7plglIiLN1qybXt291swGAe8XuT4iIiJFoVglIiItVfCVJTOrMLMRwECgc9FrJCIi0kKKVSIiUgwFNZbM7FvAh8BLwGPA0Jh+j5l9u/jV65hWrF7He0tW8fTcj3l/aQ0r16wvd5VERDYZilWlsWGDs3D5av457xNe/2A5n6xcU+4qiYgUXepueGZ2KvBL4PfAw8AdWbOfBL4M/KqoteuAVq9bz/0vf8D37n4FgAqDa47bg0OG9aWqsrLMtRMRadsUq0rn/WU1HHHN0yxeuRaAA3bcil8cM4rem3Upc81ERIqnkCtL5wA/c/fTgCk5814nnrmTlllWs54f/fW1jf9vcPjBlFdYsnJdGWslIrLJUKwqgZq1tfzykTkbG0oAT875mHmLV5axViIixVdIY2kQMC3PvJVAz5ZXR9bVbqBmXW29tKWr1lHrGv1WRCQFxaoSWLt+A+8uWdUgfcGSmjLURkSk9RTSWPqYcKNskqHAghbXRqiuqmRk/y3qpR2w41ZUV6kLnohICopVJbB5dSeO3WtAvbTOlRXsNbBXmWokItI6Cmks3QdcaGaDs9LczLYCvgPck6YQM9vOzO4ys2VmttzM7jazAU0vCWbW1cyuNLMPzKzGzJ41s7EJ+SrM7PtmNt/MVpvZS2b25Zw8B5qZNzLtm5X35jx5fpGm3oXovVkXbjhhNF/esz8De3fjuH0G8LOjdqNnNw3mJCKSQlFiFSheNbF9HDi0D5ceOYKdtt6MfQb14i+nj6H3ZopVItK+FPKcpQuAg4BXgX8Qnor+K2BnYCFwcVMFmFk3wshEa4CTYhk/Bh43s5Hu3lRn598BhwPnAm8B3wKmmdkYd5+Vle8S4H+B84EXgGOBO83sS+7+QMzzIjAmzzp6Af/MSV8EjM9J+6CJ+jbLNlt05ZLxw1m5dj2bdamiurOuKomIpNTiWAWKV2n07NaZY/cewLgR29CpwnRST0TapdSNJXf/2MxGA2cD44A34/LXAFe7+/IUxZwKDAaGuvtcADN7GZgDfB34eb4FzWw34DjgFHe/KaY9AcwmBL/xMa0vIfBc4e5XxcUfN7MhwBXAA3F7lgPP5axje2AXws3B9W8cgrXu/hwl0q1LJ7p1adYzg0VEOqwixSpQvEqlssLYSqPfiUg7lqobnplVxh//ru5+ibvv7+47ufsYd/9RAcFnPPBcJvAAuPs84GngiBTLrgNuz1p2PTAZGGdmmV/rcYQHEN6as/ytwK7xae75nAAY8IemN0VERNqSIsYqULwSERHS37PkwAxg9xaubziha0Su2cCwFMvOc/fc4XdmE4LNkKx8a4C5CfloYj0nAi+6e1Id+5rZx2a23sz+bWbnmZn6x4mItB3FilWgeCUiIqTshufuG8zsXaB7C9fXC1iSkP4JsGULls3Mz7wudW8w1nZuvnrMbAywI3BWwuxZhL7ks4GuwATg8pj/a3nKOw04DWDAgFT3A4uISAsUMVZBB4lXilUiIo0r5KaY64Gzzex+d1/bZO5Nz0mEbhN/zp3h7rmjCD1gZp8S9sdP3H1OwjI3ADcAjB49Wg9JEhEpjfYeq6CI8UqxSkSkcYU0lnoAOwBvmdlDhJF1sn9Y3d0vaqKMJSSfkct3Fi532e3zLAt1Z+KWAD3NzHLO1uXm2yj2Hz8auN/dP26iHhm3EW4gHk244VdERMqvGLEKFK9ERITCGks/yPr7lIT5DjQVgGYT+mjnGga8lmLZCWbWLacf+DBgLXV9vmcDXQjBcm5OPvKsZzwhKDbnRlmdiRMRaTuKEatA8UpERCjgobTuXtHElObm0XuBfbMfFmhmA4H94rzG/BWoAo7KWrYTcAzwsLuvickPEbonHJ+z/FeBV+NoRrlOIjz1/f4U25BxPCHw5D7fomhq1tewdPVSPly+kkUr1lC7QXFORKQxRYpVoHglKa1ev5pFqxaxfE0hgy22zMo161m4YjUrVq8r2TpFOqpSP8jnRuAMYKqZXUD48b4EeJfQzxzY+PyIN4GL3f1iAHefaWa3A78wsypgHnA6MIisQOPuC83s58D3zWwF4WF+xwCfo+FD+jLPuRgH/MbdG/zqxLr8kTDk61zCWcAJwETgend/syU7JJ/FNYv5x/svsW7l9vzmsQWsWb+Bb3x2MOOGb6MH/4mItD7FK2nS4prF3PDyDTz6zqMM3Hwg5+97PgN6DKCyovUGH/xo+WqueOB1nnnrY0Zt15ML/3M4/XpWt9r6RDq6kjaW3H2lmX0OuJrwg27Ao8DZ7v5pVlYDKml45etk4FLCU9R7Ai8BX3D3F3PynQ98ShgpaBvgDeBod78voVrHE/ZDvi4NKwj9xs8DtgY2AK8D3waua2KTm+XTtZ9yzcxrGNfvJI798+yN6ef95RX69axm/x37tMZqRUQkUrySptSsr+Gamddw15y7APho1UdMfGgid42/iz7VrROnl65ay9m3z+LZNxcDMG32R7y9eBW3fm0fPRxYpJUU1FiKQ4yeDgwlnLGqJ033Bnd/B/hyE3nmEwJQbnoNcE6cGlu+lhCgfpyiPlcTgmG++Z8ARzZVTjGtXr+axasX88TryxrMm/zPd9l7UG86d0rdg1JEpEMpRqyK+RSvJK9P137Kw28/XC/tk9WfsGzNslZrLK1et2FjQynj9Q9XsHpdbausT0QKuGfJzE4Efk3o89wVuInwlPHlxC4IrVHBjsjMqKCC7XpXNZi38zY96FTRIC6LiAiKVVI6lRWV9N+sf700w9isarNWW2eFQZ+cK0jdOldSVakTqCKtpZBv19mEB9udHv+/zt1PAgYDNcDifAtKYXpX9+bkESczaOsN7Ln9FhvTd+jTnaNHb0eFGksiIvkoVklJ9Orai0n/MYlunbptTDt9t9Pp3qkYz0TOs87unbnyqJFUVYbjgAqDHx85gi2qG55cFZHiKKQb3o7A3wl9oDcAnQHcfYmZXUrom31N0WvYQe3ce2eWr1nO1cduS82aStZvgK17dGWrHuqTLCLSCMUqKZkhPYdw34T7+GDlB/Su7k2Pzj3o0blHq62vU2UF+wzuxZPf/RzvL6vhM5t3pUd1FV2rWm9ACZGOrpDGUg1Q4e5uZh8SztI9F+d9Cmxb7Mp1ZF0qu9CnWx/o1nReERHZSLFKSqaqsoo+3fqEeF0i1VWdqN6iE9ts0bVk6xTpyAppLL0CDAEeAZ4EfmBm84D1wCTCiDsiIiLlpFglIiJFU0hj6QbCGTqAHxIC0VPx/xVoBB4RESk/xSoRESma1I0ld7896++5ZjYcGEPoKPaMu3/cCvUTERFJTbFKRESKqdHR8MzsEzPbI/79ezMblJnn7ivd/RF3v1fBR0REykWxSkREWktTQ4d3p+6BfhOB0t3BKCIiko5ilYiItIqmuuG9DZxqZpkgtLuZ5R1+xd3/XrSaiYiIpKNYJSIiraKpxtIVwPXASYAD1+XJZ3G+BvoXEZFSU6wSEZFW0Whjyd1/b2YPAjsBjwPfBv5VioqJiIikoVglIiKtpcnR8Nz9A+ADM/sDcL+7z2v9aomIiKSnWCUiIq2hkKHDT27NioiIiLSUYpWIiBRTo40lM7uwgLLc3S9pYX1EREQKolglIiKtpakrS5MKKMsBBSARESm1SQXkVawSEZHUmhrgoannMImIiJSVYpWIiLQWBRgREREREZEEaiyJiIiIiIgkaGqAhw2E/t1puLunHl1PRESkGBSrRESktTQVMC4mfQASEREpB8UqERFpFU0N8DCpRPUQERFpFsUqERFpLc26Z8nMNjOz7c2sqtgVEhERKQbFKhERaamCGktm9iUzexFYBrwF7BrTf2tmx6UsYzszu8vMlpnZcjO728wGpFy2q5ldaWYfmFmNmT1rZmMT8lWY2ffNbL6ZrQKpshoAACAASURBVDazl8zsywn5ppuZJ0xnJ+Q90sxmxvLeNrMLzKwyTb1FRKR0ihGrYn7FKxGRDi51Y8nMjgSmAh8D5wGWNXsecFKKMroBjwE7x/wnADsCj5tZ9xTV+B1wKnAh8CXgA2CamY3KyXcJ4SGF1wCHAc8Bd5rZFxPKfBkYkzNNzqn3OOAvwD9jeb8ELgAuS1FnEREpkWLEqliO4pWIiGDu6e6JNbOZwAvu/jUz6wSsBUa7+4tmdgRwnbv3a6KMs4CfA0PdfW5MGwTMAb7r7j9vZNndgFnAKe5+U0zrBMwG3nD38TGtL/AucIW7X5S1/KNAH3cfmZU2Hejk7vun2Pbl7v7ZrLQLCQFogLt/2Njyo0eP9hkzZjSWRUSk3TCzF9x9dJnW3eJYFcvpcPFKsUpEOpK0saqQbni7ALfHv3NbWEuA3inKGA88lwk8AO4+D3gaOCLFsuuy6oC7ryecVRtnZl1i8jigM3BrzvK3ArvGYJeamW0HjEoo749AFeHMnYiItA3FiFWgeCUiIhTWWFoObJVn3kBgUYoyhgOvJqTPBoalWHaeu69KWLYzMCQr3xpgbkI+Etaze+yPvs7MXjaz/0lYL7n1jkFzVYp6i4hI6RQjVoHilYiIUFhj6W/A982sZ1aaxzNkZwAPpiijF+HMXq5PgC1bsGxmfuZ1qTfsX5ibD+DvwNmEs4BfIXSv+K2ZXZCzXvKse0lOeSIiUl7FiFWgeCUiIjT9UNps5wPPA28ADxC6N3wPGAlsARxZ9Nq1Mne/MCdpqplNAc43s1+4+6fNLdvMTgNOAxgwINXgSSIi0nLtLlZB68UrxSoRkcalvrLk7vOBPYH7gEOAWmAsYeSefdz9/RTFLCH5jFy+s3Bpl4W6M3FLgJ5mZk3ky+c2oCtxqNmseiWte8t85bn7De4+2t1H9+nTp4lViohIMRQpVkEHiVeKVSIijUt9ZcnMDgP+7u65faQLMZu6PtXZhgGvpVh2gpl1y+kHPoww2tHcrHxdgB2o3w8801e7qfVkZLpFZPqODweezcw0s4FAtwLKExGR/9/encfJUdT/H3+998rmIAch3Ecix1e50XzlVG4iHggoCCJyiAoIgn49QEAQ4SeIgigil4AKKgJyihBuFAiHnAnKGQLIkZADcm42yef3R/WQyaT3ZHZmd/b9fDz6MTvV1d1VXbNTU91V1T2sTHUVuL4yMzO6Nmbpb8AMSQ9IOk3STpKau3i8G4GtJH2gEJB9iW+brWvPTaTZfPYp2rYB+AIwPiJasuBbSbMQHVCy/ZeAidlA1/YcAMwHngaIiFeAJ9vYXyud7/9uZmY9rxx1Fbi+MjMzujZmaQNgZ2AH4DDgB0CLpIdJD+67OyLu62AfF5MG2N6QDUoN0gP5XgUuLESStA7wInBqRJwKEBGPS7oK+IWkRtLDBY8AxlBUMUTEVElnkwb4zgYeI1VQO5EGxhaO8TFSP/a/Ai+T+rIflMU5LiLmFqX7B8DNki4kdXvYgvTMinM7esaSmZlVVDnqKnB9ZWZmdKGxlD1r4gWySkLShqQv9L1ITyg/qaP9RcRcSTsB55Ce+yDgTuDYksGpAupZ/s7XIcDpwGnAcNIVtE9ExGMl8U4A5gDHAKuSBvruGxE3F8V5I9v/qaRpZltJT0f/YkT8qSTdt0j6PHAycDDwFulp6Ke3l18zM6usctRV2X5cX5mZGVp+xtIONpAGAR8DdiRdvdsCmA3cGxF9cpahnuanoptZf9LZp6L3cBpcV3WR6yoz6086W1d1ZYKHU0lX5/6XNED1n8BfgMOBxyNiSTfTamZmVhauq8zMrJy6MmbpRNITwH8J/DQiOvsUdDMzs0pxXWVmZmXTldnwjgHGA4cCb0j6l6SzJO0uaUjPJM/MzKxLXFeZmVnZdOWhtL+KiL1Jg0s/ClwJfIg0284MSff3TBLNzMw6x3WVmZmVU1e64QEQESFpIjCU9ETwQoW0VZnT1n/Nmw7TX4S3n4cxH4OX74dFC2CDcTB4ZajvcrGZmfUrrqsqoLUF5r4Fz94KQ1aGdbZJr9az5s2EWVNg8n2w1paw0nowaGS1U2VWs7oywcM2pEGzOwJbk546Ph24B/gdcHcPpK//aZkN9/8SHvglfGU8XDoO3n09rRswFI64H4avXd00mpn1Uq6rKmjmS3DR9rAoe8buShvAwX9zg6kntS6Ax/8At5+0NGzro2H770PzCtVLl1kN68otin8Cs4D7SA/Huzsinu6RVPVnLbPhwfNg7a1gygNLG0oALe/ChPNht9OgzneXzMxyuK6qhJY5cPfpSxtKAG8/B29NhCE7VS9dtW7BLLj3jGXDHjoftj7SjSWzHtKVX9xjSdOudu3BTNY1EbBkETQMhIVzl18//50Ux8zM8riuqoRYkl9HtcxZPszKKJZtoAIsWZzKw8x6RFcmeHjMlU8FNA6CDXaHVx6A9XeFxoFL16kOtjkK6hurlz4zs17MdVWFNA+FbY9dNmzgCFjrf6uTnv6iaQhstv+yYeuPg8bB1UmPWT/gvly9zaAR8NlfwdPXwgt3wmF3woQLYNF82PYYGDG62ik0MzOD1TeHQ29L3cOHrArbHJ0mIbKeM2AF2OUUWPN/4dlb4APbw8b7pN8OZtYj3FjqjQaPgo9+Lc2A1zgQPvVzYAk0NFc7ZWZmZknzsDS+drXNQA3Q4F4PFTF4Jfjwl2GTfdLvgrquPDLTzLrKjaXeqq4OmgalvxuaqpsWMzOzthR3F7fKkJb+RjCzHuXLEWZmZmZmZjncWDIzMzMzM8vhxpKZmZmZmVkON5bMzMzMzMxyuLFkZmZmZmaWw40lMzMzMzOzHJ46vBebMXchCxctpr6ujpGDm6irUxe2ESsNGYDU8TZmZmbWPbPmLWRBa6p3Rw4e0Km62sqndfESZs5dyBJgUGM9Qwf6eV9WXm4s9VKvz5rPUX98nMdemcmaIwbyq/23YOM1htJYX9/mNq/NnMdRf3ycJ16dxTojB3He/h/mQ6utQEO9byCamZmV25vvzOeYPz/BQ5NnsPqwZs75wuZsvtZwBjS2XVdb+cxtaeW+597mxOsnMmPeQnb90CqcvtcmjFphQLWTZjXEv6J7oVnzFvLda57ksVdmAvDazPkcdOnDzJzb2uY2M+cu5Jg/P8ETr84CYMr0eRx02cPMmLuwImk2MzPrT2YvaOWHN0ziockzAHj9nQUcfNkjzJrfdl1t5TVzXitH/vExps9dSASMf+YtLrrvRVpaF1c7aVZD3FjqhVoXL+Ghl2YsE/bugkXMaVnU7jb/mjJzmbAZcxcyb6G/MMzMzMpt/sLFTHhp+rJhrYuZNc8XKSvl+bfmELFs2L3PTWN2O7+XzLrKjaVeqL5ObLzGsGXCmhvrGDyg7V6T9XXiQ6utsEzYkAENDGxyVwAzM7Nya2qoY6OSurqxXgwb2FSlFPU/Y1YavFzYh9ceweAmjzKx8ql4Y0nSWpKukfSOpHcl/VXS2p3ctlnSWZLekDRf0oOSPp4Tr07S8ZJelrRA0pOSPlcSZzVJP5H0qKRZkqZJurON/V0uKXKWX3T/TLRtxcEDOHvfzVhzxEAAVhjQwHn7f5hh7QxaHDlkAL/cbwtWH9YMwNDmBn59wIcZ7oGOZmbd4vrK2jN8UBNn7r0po0cOAmBwUz1n77s5Q5v9Q71SRgxu4sRPfYimbGz2xmsM5dhdN/CFYiuriv5HSxoE3AW0AAcBAZwG3C1p04iY28Eufgt8Cvgu8BLwDeA2SVtHxBNF8X4MfAc4AfgXsB9wtaRPR8QtWZyPAF8ALgMmAE3AkcA9kvaIiJtLjj0N2KMk7I3O5bzrxqw0mOuO3Ib5rYsZ0FDP8IGNHQ4YXXfUEG44atv3thkxqJGmBn9hmJl1lesr64y1Rw7i6sMLdXUdwwY20uzJHSpm2MBGvvjRtfn0pqvTungJg5rqGTnEkztYeSlKO3v25MGkY4Czgf+JiBeysDHA88D3IuLsdrbdDHgCODQiLsvCGoBJwLMRsUcWtjLwKnBGRJxctP2dwKiI2DR7PxyYExGLiuIU9vdWRHy8KPxyYJeIWLM7+R47dmw8+uij3dnUzKzPkfSviBhb7XS8H/2xvnJdZWb9SWfrqkp3w9sDmFCoeAAiYjJwP/DZTmzbClxVtO0i4M/AOEmFSwnjSFfdrijZ/gpgk6yyIyJmFVc8Rft7Aliji/kyM7Pa4vrKzMwq3ljaCJiYEz4J2LAT206OiHk52zYB6xXFawFeyIlHe8eR1ARsDfw7Z/XKkt6WtEjSc5K+L8n32s3MapPrKzMzq/hDaVcEZuaEzwBGvI9tC+sLr7Ni+f6FpfHynAKsCRxQEv4EqS/5JKAZ2Av4CbA+cFgH6TYzs77H9ZWZmVW8sdRrSfoicBzw44j4R/G6iCidRegWSXOAYyWdGRHP5+zva8DXANZeu1OTJ5mZmXWonPWV6yozs/ZVuhveTPKvyLV1Fa6z28LSK3EzgeGS1EG890j6DHA58NviQbYd+FP2mjswLCIuioixETF21KhRndylmZn1Ev2ivnJdZWbWvko3liaR+miX2hB4phPbjsmmcy3ddiFL+3xPAgYA6+bEo/Q4knYGrgauA77eQRryVG46QTMzqxTXV2ZmVvHG0o3AVpI+UAiQNBrYNlvXnpuARmCfom0bSM+eGB8RLVnwraRZiEr7cX8JmJjNZlTYfmvgBuBO4EsRsaQLeTmAVPE80oVtzMysb3B9ZWZmFR+zdDFwFHCDpBNJX94/Jj1n4sJCJEnrAC8Cp0bEqQAR8bikq4BfSGoEJgNHAGMoqmgiYqqks4HjJc0GHiNVUDtR9JA+SR8E/ga8DZwFfKS4J0RETChKyx9IU76+QLoKuBdwMHBhRLxYpnPz/s2bAVP/Df++EdbeGkZvB4NXqnaqzMz6ItdXZn3BnLfgP3+D6ZNh8/1h+FowYIVqp8pqSEUbSxExV9JOwDmkL3SRrpIdGxFziqIKqGf5O1+HAKeTnqI+HHgS+EREPFYS7wRgDnAMsCrwLLBvyVPOtyL1KR8B3J2T3EJNNJvUb/z7wCrAEuA/wDeB8zuV8UpY1AKP/Q7uOCW9f+gC+OAesMcvYVBHEzeZmVkx11dmfcCcqXDZJ2F61rN1wq/gyzfBmI9VN11WU7T8jKVWbhV5Kvrst+C8j0DL7GXDj52YrrKYmVVIZ5+Kbr1LReoqs3J65SG4dLdlw9beCvb7sy8UW4c6W1dVesyS9aTcLuxuDJuZmVkNyvvdE0vwbx8rJzeWakXzMNjmmGXDNhgHTUOqkx4zMzOznjRyXRgxetmw7Y+DQe09z9msa/xQ2lrR2AwfPQzWHAsT/5omd1hvF39hmJmZWW0asjIcehs89ReY8RKMPQRGjKl2qqzGuLFUSwaNhPV2TouZmZlZrVthVdj2m9VOhdUwd8MzMzMzMzPL4caSmZmZmZlZDjeWzMzMzMzMcrixZGZmZmZmlsONJTMzMzMzsxxuLJmZmZmZmeVwY8nMzMzMzCyHn7NUQyKCGQtmsGDxAprqmhgxYAQN9S5iMzMzq00LFi3g3YXvsnjJYpobmhnRPKLaSbIa41/SNWTKu1M48s4jeXX2q4wYMIKf7fAzthi1BY31jdVOmpmZmVlZzV44m1sm38LPH/058xfNZ/NRm3P2DmczatCoaifNaoi74dWImQtm8v37vs+rs19N71tmcsxdxzCrZVaVU2ZmZmZWfrNaZnHahNOYv2g+AE9Me4ILnryABYsWVDllVkvcWKoRi5Ys4pkZzywTNqd1zntfIGZmZma1ZPI7k5cLe2zqY8xrnVeF1FitcmOpRjTUNbDJSpssEza0aSgDGwZWKUVmZmZmPWfdYesuF7blqlsyuGlwFVJjtcqNpRoxonkEZ378TDYYsQEAqwxahfN3Pp8RAzzQ0czMzGrP8Obh/GS7nzC0aSgA26y+DYdtchgD6gdUOWVWSzzBQw1Za4W1uHi3i2lZ3EKjGhnRPIL6uvpqJ8vMzMys7AY3Dma30bux5WpbsiSW0NzQzLABw6qdLKsxbizVmBWbV6x2EszMzMwqoqm+ybPfWY9yNzwzMzMzM7McbiyZmZmZmZnlcGPJzMzMzMwshxtLZmZmZmZmOSreWJK0lqRrJL0j6V1Jf5W0die3bZZ0lqQ3JM2X9KCkj+fEq5N0vKSXJS2Q9KSkz7Wxz69K+o+kFknPSjq8jXh7Sno8298USSdK8lRzZmY1yvWVmZlVtLEkaRBwF/BB4CDgQGB94G5JnXmC2G+BrwI/BD4NvAHcJmnzkng/Bk4BzgN2ByYAV0v6ZEl6vgpcCFwLfAK4Gjhf0hEl8cZlcR7J9ncucCLw/zqTbzMz61tcX5mZGYAionIHk44Bzgb+JyJeyMLGAM8D34uIs9vZdjPgCeDQiLgsC2sAJgHPRsQeWdjKwKvAGRFxctH2dwKjImLTom1fB/4eEQcVxbsU2ANYLSJas7DHgXcjYvuieD8kVUBrR8Sb7eV77Nix8eijj3bmFFVVa2sLAI2NfphbX7d48SIWLW5lQNPAaifF+qAlixezcPFCmrv5+ZH0r4gYW+ZkVVR/rK/6Sl1l1lssWDiX5qbOXDupfe+33uiuloXzaahvpL6+609D6mxdVelueHsAEwoVD0BETAbuBz7biW1bgauKtl0E/BkYJ6nwC38c0ARcUbL9FcAmWWUHsDUwKifeH4CRwHaQumEAm7cRr5F05a5Pm7dgDlNmvcQZj5zBGY+cwZRZLzFv/uxqJ8u6adrcN7nkqQs4acLJPPTaP5k5Z2q1k2R9yPS5U7ly0uWc+OBJ3DX5VmbO7befH9dXZpZr+typXPvvP3HiAydz47PXMKP/fk8C6Xxc8+yfOfGBk/jbc9dX5HzMmjuNR/77ICdNOJmLnvwNU+e0e9/ifan0Q2k3Am7ICZ8E7NOJbSdHxLycbZuA9bK/NwJagBdy4gFsCEzO4gFMbCfe3W3Fi4jJkuZl8fq06S1vs/dN+7BwyUIArn/xRq7f41oGDVyhyimzrnp7zpsccvthTHl3CgB/n/x3TtvqZD693p7duupi/cv0OW9y7L3f4Ym3nwTgtpdv46hNv86XNzyEgQP63dVT11dmtpxZc6byk0fO4LZXbgfgtim38fl19+RbW3yLoYNXrHLqKm/GnKn8+OEfc+er9wDpfOy3/uc5evNvMnTQiB455pLFi3nwjQf53v0nvBd24+Rb+MO4y1hpyKplP16l7yytCMzMCZ8BdHRG29u2sL7wOiuW71+YF4+cfXY2XiGsz/9nXPvcNe81lAAWLlnINc9dXcUUWXdNmz/tvYZSwW///Xum9/OrXtY58xe3vNdQKvjdv//InNZ3q5SiqnJ9ZWbLWRCtjH/ljmXCrn/pZuYvWVClFFVXS7S+11AquObF65m/eH6PHXP63Le45JnfLRP22pzXeH3O6z1yPE8d3kMkfU3So5IenTZtWrWT067m+uXHKDXXN1chJfZ+NdQtf/eoqa6JOlUhMdbn1Gn5KqGpvgkqOLbVKqsv1VVmvYHQct+V9XX1SP2zoq3LOR+NdY305Nmok1LdVKKxvrFnjtcje23bTPKvyLV1Fa6z28LSK2wzgeFa/lObF4+cfXY2XiFsRk44EXFRRIyNiLGjRo3Ki9Jr7Ln+3gxtGvre+6FNQ9lr/b2rmCLrrhUHrMhmK2363nshjt38G6y0wupVTJX1Fc11Teyy1o7LhB292eEMa+6XNyT6RX3Vl+oqs95gYN0A9t9g2Z64h37oQAbVD6pSiqqrua6Jfdbda5mwwzY8iEENPTeUY+QKq3HMZt9ARU2yDVfckFEDe+Y7rNKDGAp9tEttCDzTiW33kjSopB/4hsBClvb5ngQMANZl2X7ghb7azxTFI0vPG52M92AhkqTRwKBOpLvXG9k8ir9+5mrufHk8QbDL6HEMHzCy2smybhg5ZBXO3eEc/vXmw7z4zmR2Gz2OlVyW1kkrDlmFEz96Anut+1kmvv00O6y1E6sNWpWmxn55p9n1lZktZ+jgkRy28VfZcc0dePStR9hq9W0YvcJohgwcVu2kVcWwwStxxGZHsOs6u/Cvtx5lmzW2Ze0h6zCkh8e9f2jEhtywx7WMn3wr6wxdh7GrbclKg1fpkWNVeurwY4GfARtExEtZ2GjSVKzHRcTP29l2C+Ax4OCI+F0W1gA8DbwQEZ/JwlYGXgNOj4gfFW1/B7BKRGySvW8kTcV6c0QcUhTvEmAv0lSsC7OwJ4CZEbFjUbwTSc/PqJmpw83MyqFGpg7vd/WV6yoz6086W1dV+s7SxcBRwA3Zl3eQHsj3KulhewBIWgd4ETg1Ik4FiIjHJV0F/CKrOCYDRwBjgAMK20bEVElnA8dLmk2qsL4A7ESazrUQr1XSSaSH+v0XuCOLcyhwdKHiyfwAuFnShcCfgC1Iz6w4t6OGkpmZ9Umur8zMrLKNpYiYK2kn4BzScx8E3AkcGxFziqIKqGf5MVWHAKcDpwHDgSeBT0TEYyXxTgDmAMcAqwLPAvtGxM0l6blAUgD/B3wXeAU4KiLOL4l3i6TPAycDBwNvkZ6GfnpXz4GZmfV+rq/MzAwq3A2vv3LXBjPrT2qhG15/5LrKzPqTztZVnjrczMzMzMwshxtLZmZmZmZmOdxYMjMzMzMzy+HGkpmZmZmZWQ43lszMzMzMzHK4sWRmZmZmZpbDjSUzMzMzM7McbiyZmZmZmZnlcGPJzMzMzMwshxtLZmZmZmZmOdxYMjMzMzMzy+HGkpmZmZmZWQ43lszMzMzMzHK4sWRmZmZmZpbDjSUzMzMzM7McbiyZmZmZmZnlcGPJzMzMzMwshxtLZmZmZmZmOdxYMjMzMzMzy+HGkpmZmZmZWQ43lszMzMzMzHK4sWRmZmZmZpbDjSUzMzMzM7Mciohqp6HmSZoGTOnGpisBb5c5Ob1Rf8hnf8gjOJ+15P3kcZ2IGFXOxFjPy+qqWcA7JauG5YRV438gLx09vY/Oxu8oXlvruxJeGtZXy6A7++lM/P5SBnnpqMQ+erIM2lrX2bDulkPn6qqI8NJLF+DRaqfB+XQenc/+mc/+kEcvueV+USfDKv75yEtHT++js/E7itfW+q6El4b11TLoqXLoL2VQrnLoTWXQ2fPdTliPloO74ZmZmVnBTZ0Mq4ZypKOr++hs/I7itbW+K+G9oRzKlYaeKIf+UgbQe/8XulsGba3rFWXgbni9mKRHI2JstdPR0/pDPvtDHsH5rCX9IY/Wff58VJ/LoPpcBr1DT5eD7yz1bhdVOwEV0h/y2R/yCM5nLekPebTu8+ej+lwG1ecy6B16tBx8Z8nMzMzMzCyH7yyZmZmZmZnlcGOpl5G0lqRrJL0j6V1Jf5W0drXTVUrS5yVdK2mKpPmSnpX0E0krlMQbIekSSW9LmivpDkmb5OyvWdJZkt7I9vegpI/nxKuTdLyklyUtkPSkpM/1ZF5Ljn+rpJB0Wkl4n8+npE9Kuk/SnOyz96iknWosj9tKGi9pqqTZkh6TdGhPp1/SVyX9R1JL9r9yeJnys6akX2VpnJd9NkfnxKtaniTtKenxbH9TJJ0oqf795t3MzKwiqjHloZf8BRgEPA9MBPYEPgs8DbwIDK52+krSOgH4C3AAsD1wLOn5HBOAuiyOgH8CrwH7A58A7iXNhb9myf6uzLb/KrAz8FdgPrB5SbzTgRbgO8COwIXAEuCTFcjz/sAbQACnFYX3+XwCXwdagXOAXYFxwPeBT9dQHjfN0nF39r+1a3bMAI7oqfRn+1mSxd8ROC17f0QZ8rQD8BZwC3BblpfROfGqkqfsc7SY1J98R+DbwALgzJ7+f/VSvQU4CXgu+0zsWe309McFGAHcnJXDk8B4YL1qp6u/LcBVwFPA48DDwM7VTlN/XYBDsjqyy99JVU+8l2UK8pjsh8V6RWFjgEXAt6udvpK0jsoJ+3L2Qdwpe//Z7P2ORXGGATOAXxaFbZbFO6QorAF4FrixKGzl7Ifcj0qOeyfwVA/ndwTwJqmhUNpY6tP5BEZnP5yPbSdOn85jtu//BywEhpSEPwg82BPpz7adCvyuJN6lpIZm4/vMU13R34eR01iqZp5IPxDuLYn3w6wcVu2JcvZS/QXYCvgAcA9uLFWrDIYDuxS9/yZwT7XT1d8WYHjR31tkdWZdtdLTX5fsd84DWX3f5e8kd8PrXfYAJkTEC4WAiJgM3E/6sdprRMS0nOBHstc1stc9gNcj4u6i7d4hzZFfnJ89SHc1riqKtwj4MzBO0oAseBzQBFxRctwrgE0kjelebjrlTGBiRPwpZ11fz+ehpCvAF7QTp6/nkex4raSGYbF3WNoludzp3xoYlRPvD8BIYLvuZiZL25JORKtKniStBWzeRrxGYPdOpN0qoLPdObO4HXYVj4gJEfFSJdJeS8pZDhExKyLuKNrkAdIPRmtHD/wvzCp6O6wHk14zyl0GkuqAS4CjSRcEu8yNpd5lI1IXvFKTgA0rnJbu2D57/Xf22l5+1pY0pCje5IiYlxOvCVivKF4L8EJOPOihcyRpO9Jds2+0EaWv53M74D/AfpJelLRI0guSivPb1/MIcHn2+ktJq0saLqnQLe2conSVM/0bZa+l565HP7MlqpWn3HjZBaB59I3vtP5iPWBfYCbwj7YiSRoE3AV8EDgIOBBYH7hb0uAKpLPW9WQ5HAvcUNbU1qayl4GkcyS9BFwLfK6TF7n6s3KXwbeB+yPiX91NUEN3N7QesSLpw1FqBqkbWK8laQ3gVOCOiHg0C14ReDkn+ozsdQQwh/bzXdhP4XVWZPdU24lXNpKaSOM2fhYRz7YRra/nc/VsOQv4AWmM3D7AeZIaIuJc+n4eiYiJknYArgOOzIJbgcMj4s9Fxy1n+guvpfvssXzmqFae2opXCKtE3q1z7ouIVQAkHQbs1ka8r5K61/1PoQeEpKdIY22/moCj5AAAE6ZJREFUDpxdgbTWsh4pB0knZ/G/1kPpriVlL4OI+BbwLUmfAH4qaduIWNiDeejrylYGkjYGPgcsN6FRV/jOkr1v2V2FG0hjqw6pcnLK7XvAQNJA9lpVB6wAfD0iLo6IuyLiCOBW4HhJqm7yykPS+qQre5OAzwC7kLoeXiDpgGqmzayaunClu890Fe+LeqIcJJ0IfBLYPefuspXoyf+FiLiVdGFxuVlkbakyl8HHSN1Pn5f0Mmk85UWSjupKmtxY6l1mkn8Hqa0rw1UnaSBp3MoHgHER8VrR6vbyU1jfmXgziuINz/nxXhqvLLJ+ryeQZnYakHXbGp6tLryvp4/nE5ievd5eEj4eWAVYjb6fR0gTPLSSZvi7OSLujIhvkmZ1PDfr11zu9BfOS+k+ezKfpaqVp7biFcIqkXcrr77eVbxWdKocsjtKnwF2y8aYWvl0WAaSBhaPv5W0NWlcp8fzlUeHZRARv4mI1SJidESMJs3Y/LWIOK8rB3JjqXeZxNJ+/sU2BJ6pcFo6JKkRuAYYS5pa+OmSKO3l55WImFMUb0zW/7Q03kKWjqGYBAwA1s2JB+U/Rx8AmkkD1GcWLZCmVp5JukLU1/M5qYP1S+j7eYRUVk9GRGtJ+MOkCmxlyp/+wrktPXc9mc9S1cpTbrxsoO4geuF3mnWoU13FJZ0i6TXSZCCXSHpN0poVSmN/0GE5SNoIOIX03XavpCckPZqzjXVPZ/4XBgJ/lDRR0hPAz0hjlnrlxe8+qGJDV9xY6l1uBLaS9IFCQPbDYttsXa+RXYW/EtiJNA3jhJxoNwJrSNq+aLuhpCtdxfm5iTQ71j5F8RqALwDjI6Iwe8mtpDsDpV2mvkSaqW7y+8rU8p4gPRumdIHUgNqR9EOzr+fzuux1XEn4J4DXIuJN+n4eIU39vnk2Dq3YlqRn/8yg/Ol/kDSddl68GaTuAj2tKnmKiFdIz3fJi9cK/L37WbLeLCJOiYg1I2JARKyU/f1ax1tauUTEpIhQRKwXEZtny9hqp6s/iYgZEbF1RGycnf9tI+KuaqerP4uIHSLi+q5u5wkeepeLgaOAG7J+xgH8GHiVNMlAb/Jr0o+v04G5krYqWvdaVjHeSPphdYWk75KuABxPesDpTwuRI+JxSVcBv8juVk0GjiA9Y+qAonhTJZ1NGkczG3iM9INvJ1Lf1bLKpvy8pzQ866U0JSLuyd736XySHmh6N3ChpJVIXQT2IQ2qLIxB6+t5BDgPuBq4SdL5pCnE9yA9O+ucbMBtWdMfEa2STgLOl/Rf4I4szqHA0eUY5Cvp89mfH8led5c0DZgWEfeWu0y6mKcfADdLuhD4E+k5IycC52aNcOtb+lxX8Rrlcqg+l0H1Va4Mohc8LMrLMg/OWps0CP1dYDZwPSUPmewNC2lmtGhjOaUo3oqkh1XOIE0XfCewWc7+BpJmj3mTdJX/IWCHnHj1pB9bU0jTHD8FfL7CeV/mobS1kE9gKKkB/Bapa9ZTwBdrKY/ZMXcnNYCnZf9fT5BmxqvvyfSTZuZ5Lov3PHBkmT+Pecs9vSFPwN6kO0wtwCukh9LWv998e+mZhTYebpytuwv4Z074PZQ8fNiLy6GvLy6D6i+9pQyU7djMzMz6uWyq3ouBMRHxcsm6Y0njLjaI7KGzWVfx54HjIuLnFU1sDXM5VJ/LoPp6Sxm4sWRmZtbPFXXn3Bk4nHTH9b3unFmcwaS7hPNJdyALXcVXADaNpRO9WDe5HKrPZVB9va0M3FgyMzPr5yS19WPg3ojYoSje2sA5wK6kMYt3AseWXvW17nE5VJ/LoPp6Wxm4sWRmZmZmZpbDU4ebmZmZmZnlcGPJzMzMzMwshxtLZmZmZmZmOdxYMusBkg6WFJLWq3ZaOiJpdUk3SZqZpfmoCh13J0mnVOJYZmZmZt3hxpKZnQJsBxwMbA1cXaHj7gScXKFjmZmZmXVZQ7UTYGbdI2lARLSUYVcfAh6PiBvKsK+qKuM5MTMzM/OdJasdkk7JupGtL+lvkuZImiLph5LqsjiF7nGj87YtCQtJp0n6v2w/87L9rpwtf5H0jqRXJX2/jWStLun6LC3TJf1a0sCS4wySdKakyZIWZq8nFNKcxdkhS8/eki6WNA14q4PzoSztz0lqkfS6pF9JGpKtXy/L83bAjtn+Q9KabezveEkLJA3PWfespGuL3q8h6QpJb2fbPCnpi0XrTwNOKDrPIWlR0fohks6S9HJ2Tl6SdJwkFcXZJdtuT0mXSnob+G+27oPZeZ+aHf+VrLz8nWdmZmad5h8OVouuA+4C9gSuB34EHNTNfR1I6i52JHAU8DHg99kxngI+B9wCnCHpkznbXwG8AOxNenDaV4HfFFZKagBuAw4DzgV2By4BTgLOytnfr0gPXjuQ1G2uPWcCPwNuBT6T/X0ocHPWaHiV1O1uEvBI9vfWwNQ29ncl0ATsWxwoaUtgA9J5QdIKwL3AbsDxwF7AM8CVkg7NNrsAuDz7u3DcbbPtG4HxwCGkc7Y7cBmpHM/ISdevgUXAAcBXsrBbgFWBI4BxwHFAK+ncmZn1CI9X7dRxe+V4VUlbZhdFVysKe03SJdVMV0+SdFh7F0nb2W6QpLck7d1TaetVIsKLl5pYSGNvAjikJPxpYHz298FZnNF525aEBfAc0FAUdnYWfmJRWAOpgXFZUVjhOBeU7PMEYDGwQfb+wCzex3PiLQRWzt7vkMW7rpPnYlS2/SUl4YV0fbIobAJwRyf3ezfwj5Kw84C3gcbs/bHZMbYriXcP8AZQl70/rfScZ+GHZNtvUxJ+MtACjMze75LFu7ok3qqlefTixYuXSixF37HrVTstnUjrRcBM4LPAVsAqFTpu7nd/tRfgPuAXJWGvldajtbSQLtQGsGY3tv0u8Gzxb6RaXXxnyWrR30reTwTW7ua+bo+IRUXv/5O93lYIyNa/AKyVs/1fSt7/mXRH96PZ+08AU4AHJDUUFtKdlUZSBVbsuuI3WVe7hqKlPlu1dbb9FSXb/wlYAmyfm9ul+20oSU/B74FtJY3J4jUCXwCuiojWLM7HgSkR8c+S3V5Basj8T3vHJp2TF4GHc85JE7BlSfzrSt5PJZ3Tn2ZXzXr9FV4zs86SNKBMu3pvvGpETIiIdrt292bv95xkPSQ+RlHPD+vQpcAYYI9qJ6SnubFktWhGyfsWoLmb+5pZ8n5hO+F5xyitfArv18heVwbWIXURK14eztaPLNn+jZL3O5dsV5jcYMW8+JEmP5hZtH45WeNimfQU3aK/FlgAfCl7vzuwElkXvKJjl6YT4M2StLVlZWDd0jQAD2Tr2z0nEbGEdF4eJ3VFfF7Si5K+1sFxzayPUSfGqmbxPF7V41XbcxjwWEQ820E8JG0l6U5Jc7PyvV3S2Jx4384+P/MlTVDq5tdhtz5JQyWdl32+WpS6u90uaYOiOA2SfiDp31mcaZL+XogjaaCkcyVNytL5hqQbJXV0sbKw/8MlPZWdw2nZZ2+Z8o+I6cAd2bmraZ4Nz/qbBdlrU0l46Q/wclmFNCao+D1kX+zAdGAyJeOAirxc8j5K3j8E/G/O+kKDcVXSbXIAJDUBI1i+QVns1ZJ9QlY5R8S7km4gNZZ+nL0+HxEPFcWdAWyRs99VS9LWlumkO3X7t7F+csn70nNCRLwIHJhVkJsB3wQulDQ5Im7v4Phm1vdcRxrbeA5pjOaPSN9ll3VzfweSeiUcSfre/gXpotAKwN9JXdj2IY1XfToibinZ/gpSz4LzST0JfggMJhtrqqXjVTckfZc+TepJcBLpgtL/lezvV9lxD6Tji39nkrpI/Qq4Gdg4O8YmknZi6XjVS4B5pO9HaH+86umkeuqiQqCWjlf9Xva+MF51KGm86mvAl0njVZsj4lLSeNU1WPqoCsi+w7V0vOoGWXonAtuQynIEUNow/TWpJ8kBRefkliwfR5C6h68BfIqOx6uOA/7aQRwkbUHqUv40S8dCHw/cJ+mjETExi3c48HPgYtJFxvWAq0jnpiPnknpYnECqC0eS7noNK4pzTZavc0hjtJtJ3fVXJQ0fGJgtp5IuVI4EvgE8KOmDEdFWWSPpZ8AxpM/8d4A1SeW/kaTtsguSBfcBJ0tqioiFy++tRlS7H6AXL+VaWDpmqaEk/HLg5ezvrbM4exetbyA1KKJkuwBOKwk7mJz+6KQvz3/mxGtrzNL6RfFagQ92kLcdsv3t0slzURiz9JuS8IOy/exeFNbpMUtZ/N2zfewGzAdOKll/TLZ+y5Lwu1h2zNJJWbyBJfEOI90hW7+DdBTGLO3QiTSvmMX9VrU/p168eCnfQifGqmbvC9/Jo/O2LwnzeNXl91uz41VJDarlPkPZumXGLJEmjZoBDC0KGw7MAv6Sva8HXgduLNnXvtlx2h0DReru/9N21u+W7efILuSxntRYnwccXRS+zJglUq+OxcAPSrbfPov36ZLwcVn4R7tyzvva4m541t88QhoPc5akz0v6DHATUK4+4KU+mXUp2FXSCaQv/d9HxPPZ+itJ3cvuzG7Z7yxpd0lHSRovaVB3DhoR00hXhb4u6WxJu0n6FulK3L0UjbnqhvGkO02Xks7bH0rWX0o6x9dL+kqWnyuBHYETYulVqWey1+9k3RM+kr3/Pamc7pZ0bNE5OTrritBuWUn6cNZF4utZd41xpKuZraQK38xqTznHqoLHq/an8aqrZ6/TOhH346RG0LuFgIiYRbqDVzi36wCrsfwD3q8jlUFHHgG+knU//EhOF8LdSA2a37a3E0n7SXpY0jukGWPnkO42tVcOu5E+p1eWlMH9pIbWx0viF87Z6tQwN5asX8kqt8+SuiFcTmo83M7SaazL7UukLgXXkbpVXEzq1lFITyvpyszFwNdIXQiuJN0BeoClY6S64/uk7hGfJn2Rf5fUJeXTsext9C6JiMWkincN0t20l0vWzyZVGncCPyVdidsYOCBSN4yCG4ALSV1AHiR1KSTSrfxdSY2uI0jn5ArSufwnqdHTntdJ3Ry/A9yYpXVl4FMR8UR38mxmvV45x6qCx6v2p/GqhfJr94HmkkTqDthWHgv5K0w9vkxXt6y+76gbOqTfCBeTHjXyKDBV0s+1dMzbSODtaOcB7JL2ItV9E0ld2rckda+fQfv/Fytnry+zfDkMYvkymJ+9DqSGecyS1YyIOIXUpaI0/OCS95NIXRtKnVISb7k+zhFxOTkNq4jYoZ149+Wn+L24C7Jjn9JOnHvo4jOCIt0j/1m2tBev9ApmZ/b9LeBb7az/L0sr1bbiLAIOz5bSdfNJffx/2M72d5BzTiLiTVI/eTOzAo9X9XjVtsarTs9eR7SXuIgISTNZmp9iq7I0f4XG1MrFEbK7cR01GAsXHI8DjlOakGQf4Cekz/AJpK6PK0ka0E6DaT/gPxFReLYhkppJXQbbUzgXOwPv5qx/u+T9im2E1xQ3lszMzKzWTcleNyaNRypMsrBbDx1vX9I4zYL9SF2wCo2LW0kPNZ8TEf+hi7If1I/mrHqQdBdgP1KX64L9Sb2J7mlnny1t7LPg98B+knYjTaLx/0rW3wvsJWnLkkbUF0l3XgqNtxZIM7ZlF8YKCg9Qf6eoq3q3ZHeZHpf0f6TxWhuTepHkeYl0h/ADndj1vcCnJQ2OiLkAkoaRJlsYn8WZQmow7cOy3dT3pos9urKeG2dJOjDLA9lxvkN6yHxbU50PInW9K/blThx/PKkRulZE/K4TSRyTvXY4i2Bf5saSmZmZ1bri8ap1pB/sR9LD41VJPz4/Sv541UNI41V/DjxJuuu1Lum5NXtGxLyuHjQipkn6BWks6HxSA2Qj0t2gSoxXPZo0XvVEUpfoL5HGq36ljfGq44FFEfEvUmPsYNJ41Z+RJuloIs0ktwepC3l7Xc8+DJxFGi/2ImlSg6/QwXjViFgg6RGWjidrz6mkBukdWfmKdBdoAOkcExGLJZ0K/EbShaQujOuTusXPpoNxS5IeIs3MNxGYSzp/G5G6rRMRt0u6HjhX0jpZ3ppIPWauj4h/kMr9vOw8/p10x/Ao8u8WFZ+L57JtfiPpQ6SeMS2kcXm7kSaN+kfRJluSxqm90t5++zo3lszMzKymRcQiSZ8ljVO9nNRl6hekOz0n98Ahv0Qap3oE6a7FxaS7AYX0tGaTzxxHGq86hvTD+EXSZBXvd7zq1Gy/R5G6SF0GHP9+x6tK+hNp1rt/5I1XlbQ9abzQT4EhpIkxDoiIPxZFLR6v+iNS46EhIhZK2pU0FfcRwGjSpAQvkMaudmW86hqkbmtP0bnxqlcBp+fc7So9B49L2pE0lfYfSHdhJpBmNZxYFO8CSYNJs8MeRGr4fZHUiHmng7T8g3Rn8AOkBt9LwDER8euiOPuSPjtfBr6d7fMhlo4PK56i/chs3adYfiKUvDx+T9KkbLtvkiaTeJU0DvnFkuifIk1eUtOUhjWYmZmZmfU/Sg9cfRX4akT0yI9/SVuR7kp9MSL+1BPHqCRJ25LuVm4QES9VOz09yY0lMzMzM+vXJJ0M7Al8ON7nj2NJ65ImL/oHqevdRqQ7ZvOATbKJnfo0STcBb0RER7MN9nnuhmdmZmZm/d1Z2esqLO3O1l3zgU1J3eCGk6ZtHw8cVyMNpUGkyUAuqHZaKsF3lszMzMzMzHL4obRmZmZmZmY53FgyMzMzMzPL4caSmZmZmZlZDjeWzMzMzMzMcrixZGZmZmZmlsONJTMzMzMzsxz/H6TwaGm1MZ0RAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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+ "output_type": "display_data"
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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\n",
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+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "for var_pp in df8_QV['variance-of-pp'].unique():\n",
+ " WL_vs_num_voters(df8_QV[df8_QV['variance-of-pp'] == var_pp], \"QV wellfare loss vs n voters (variance-of-pp={})\".format(var_pp))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "## Wellfare loss of QV vs variance of perceived pivotality"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 59,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "def plot_WL_vs_variance_of_pp(ldf, n_voters_list, title):\n",
+ " pdf = ldf[ldf['number-of-voters'].isin(n_voters_list)].copy()\n",
+ " pdf['n_voters'] = pdf['number-of-voters'].apply(lambda n: \"=\" + str(n))\n",
+ "\n",
+ " ax = sns.scatterplot(x=\"variance-of-pp\", y=\"wellfare-loss\",\n",
+ " hue=\"mpp-str\",\n",
+ " style=\"n_voters\",\n",
+ " legend='full',\n",
+ " data = pdf)\n",
+ " plt.title(title)\n",
+ " ax.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
+ " plt.show()\n",
+ " \n",
+ "plot_WL_vs_variance_of_pp(df8_QV, [11, 101, 501], \"WL vs variance of percieved pivotality\")\n",
+ "# 1001, 10001"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "# WL - QV Right Direction Random Magnitude results"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "## QV-RDRM Normal Distribution"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "### The Data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 36,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "0.27814285714285714"
+ ]
+ },
+ "execution_count": 36,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df9 = pd.read_csv('2020.07.10 QV-right-direction-random-magnitude-normal-dist.csv')\n",
+ "df9['wellfare-loss'] = 1 - df9['mean payoff-sign-list']\n",
+ "df9['wellfare-loss'].mean()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 40,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "0.2779999999999999"
+ ]
+ },
+ "execution_count": 40,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "x = .87\n",
+ "1 - (.8 * x + .2 * (1-x))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "### The graph\n",
+ "The reason that this is slightly worse than 1p1v is:\n",
+ "When the median and mean of the utilities have the same sign, 1p1v maximizes welfare. With a normal distribution, this is about .8 of the time. When they are oposite, 1p1v doesn't maximize welfare. So, 1p1v has WL of about .2 for normally distributed utilities. \n",
+ "\n",
+ "QV-RDRM acts like 1p1v but with noise. With a normal distribution, that noise is bad 80% of the time when the mean and medians are the same, because the noise either does nothing, or flips the outcome incorrectly. The noise is good the other 20% of the time. So on the whole QV-RDRM does worse than 1p1v on a normal distribution. "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "No handles with labels found to put in legend.\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "mean wellfare loss: 0.27814285714285714\n"
+ ]
+ }
+ ],
+ "source": [
+ "f, ax1 = plt.subplots(figsize=(4, 3))\n",
+ "sns.scatterplot(x=\"number-of-voters\",\n",
+ " y=\"wellfare-loss\",\n",
+ " data=df9,\n",
+ " ax=ax1)\n",
+ "\n",
+ "ax1.set(xscale=\"log\",ylim=(0,1))\n",
+ "ax1.set_xlabel(\"Number of Voters (log scale)\", fontsize=12)\n",
+ "ax1.set_ylabel('Prop8 WL', fontsize=12)\n",
+ "ax1.tick_params(labelsize=10)\n",
+ "\n",
+ "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
+ "# plt.savefig(\"figures/sQV_WL_vs_n_voters_prop8.png\", bbox_inches='tight', dpi=300)\n",
+ "plt.show()\n",
+ "print(\"mean wellfare loss: {}\".format(df9['wellfare-loss'].mean()))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "## Prop 8 "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "### The Data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 59,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "0.28400000000000003"
+ ]
+ },
+ "execution_count": 59,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df10 = pd.read_csv('2020.07.10 QV-right-direction-random-magnitude-prop8.csv')\n",
+ "df10['wellfare-loss'] = 1 - df10['mean payoff-sign-list']\n",
+ "df10['wellfare-loss'].min()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "No handles with labels found to put in legend.\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "f, ax1 = plt.subplots(figsize=(4, 3))\n",
+ "sns.scatterplot(x=\"number-of-voters\",\n",
+ " y=\"wellfare-loss\",\n",
+ " data=df10,\n",
+ " ax=ax1)\n",
+ "\n",
+ "ax1.set(xscale=\"log\",ylim=(0,1))\n",
+ "ax1.set_xlabel(\"Number of Voters (log scale)\", fontsize=12)\n",
+ "ax1.set_ylabel('Prop8 WL', fontsize=12)\n",
+ "ax1.tick_params(labelsize=10)\n",
+ "\n",
+ "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
+ "# plt.savefig(\"figures/sQV_WL_vs_n_voters_prop8.png\", bbox_inches='tight', dpi=300)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "## 1p1v normal dist comparison"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 34,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " [run number] \n",
+ " number-of-voters \n",
+ " minority-fraction \n",
+ " majority-mean-utility \n",
+ " majority-utility-stdev \n",
+ " minority-mean-utility \n",
+ " minority-utility-stdev \n",
+ " calibration \n",
+ " marginal-pivotality \n",
+ " variance-of-pmp \n",
+ " ... \n",
+ " payoff-include-votes-cost? \n",
+ " voting-mechanism \n",
+ " [step] \n",
+ " mean payoff-sign-list \n",
+ " mean payoff-list \n",
+ " standard-deviation payoff-list \n",
+ " mean vote-sum-list \n",
+ " standard-deviation vote-sum-list \n",
+ " mean mean-median-same-sign-list \n",
+ " wellfare-loss \n",
+ " \n",
+ " \n",
+ " \n",
+ " \n",
+ " 0 \n",
+ " 2 \n",
+ " 51 \n",
+ " 0 \n",
+ " 0 \n",
+ " 2 \n",
+ " 10 \n",
+ " 1 \n",
+ " manual \n",
+ " 0.5 \n",
+ " 0 \n",
+ " ... \n",
+ " False \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.807 \n",
+ " 9.252325 \n",
+ " 10.720377 \n",
+ " -0.258 \n",
+ " 6.983854 \n",
+ " 0.807 \n",
+ " 0.193 \n",
+ " \n",
+ " \n",
+ " 1 \n",
+ " 1 \n",
+ " 11 \n",
+ " 0 \n",
+ " 0 \n",
+ " 2 \n",
+ " 10 \n",
+ " 1 \n",
+ " manual \n",
+ " 0.5 \n",
+ " 0 \n",
+ " ... \n",
+ " False \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.822 \n",
+ " 4.404294 \n",
+ " 4.845724 \n",
+ " 0.018 \n",
+ " 3.375659 \n",
+ " 0.822 \n",
+ " 0.178 \n",
+ " \n",
+ " \n",
+ " 2 \n",
+ " 3 \n",
+ " 101 \n",
+ " 0 \n",
+ " 0 \n",
+ " 2 \n",
+ " 10 \n",
+ " 1 \n",
+ " manual \n",
+ " 0.5 \n",
+ " 0 \n",
+ " ... \n",
+ " False \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.777 \n",
+ " 12.674151 \n",
+ " 15.903170 \n",
+ " -0.092 \n",
+ " 9.904021 \n",
+ " 0.777 \n",
+ " 0.223 \n",
+ " \n",
+ " \n",
+ " 3 \n",
+ " 4 \n",
+ " 501 \n",
+ " 0 \n",
+ " 0 \n",
+ " 2 \n",
+ " 10 \n",
+ " 1 \n",
+ " manual \n",
+ " 0.5 \n",
+ " 0 \n",
+ " ... \n",
+ " False \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.797 \n",
+ " 27.310192 \n",
+ " 33.596832 \n",
+ " 0.172 \n",
+ " 21.449627 \n",
+ " 0.797 \n",
+ " 0.203 \n",
+ " \n",
+ " \n",
+ " 4 \n",
+ " 5 \n",
+ " 1001 \n",
+ " 0 \n",
+ " 0 \n",
+ " 2 \n",
+ " 10 \n",
+ " 1 \n",
+ " manual \n",
+ " 0.5 \n",
+ " 0 \n",
+ " ... \n",
+ " False \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.822 \n",
+ " 43.343398 \n",
+ " 47.754228 \n",
+ " 1.078 \n",
+ " 32.428406 \n",
+ " 0.822 \n",
+ " 0.178 \n",
+ " \n",
+ " \n",
+ " 5 \n",
+ " 6 \n",
+ " 5001 \n",
+ " 0 \n",
+ " 0 \n",
+ " 2 \n",
+ " 10 \n",
+ " 1 \n",
+ " manual \n",
+ " 0.5 \n",
+ " 0 \n",
+ " ... \n",
+ " False \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.789 \n",
+ " 92.669346 \n",
+ " 113.352887 \n",
+ " 0.922 \n",
+ " 71.479138 \n",
+ " 0.789 \n",
+ " 0.211 \n",
+ " \n",
+ " \n",
+ " 6 \n",
+ " 7 \n",
+ " 10001 \n",
+ " 0 \n",
+ " 0 \n",
+ " 2 \n",
+ " 10 \n",
+ " 1 \n",
+ " manual \n",
+ " 0.5 \n",
+ " 0 \n",
+ " ... \n",
+ " False \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.811 \n",
+ " 133.714622 \n",
+ " 153.346359 \n",
+ " -0.640 \n",
+ " 99.696267 \n",
+ " 0.811 \n",
+ " 0.189 \n",
+ " \n",
+ " \n",
+ "
\n",
+ "
7 rows × 21 columns
\n",
+ "
"
+ ],
+ "text/plain": [
+ " [run number] number-of-voters minority-fraction majority-mean-utility \\\n",
+ "0 2 51 0 0 \n",
+ "1 1 11 0 0 \n",
+ "2 3 101 0 0 \n",
+ "3 4 501 0 0 \n",
+ "4 5 1001 0 0 \n",
+ "5 6 5001 0 0 \n",
+ "6 7 10001 0 0 \n",
+ "\n",
+ " majority-utility-stdev minority-mean-utility minority-utility-stdev \\\n",
+ "0 2 10 1 \n",
+ "1 2 10 1 \n",
+ "2 2 10 1 \n",
+ "3 2 10 1 \n",
+ "4 2 10 1 \n",
+ "5 2 10 1 \n",
+ "6 2 10 1 \n",
+ "\n",
+ " calibration marginal-pivotality variance-of-pmp ... \\\n",
+ "0 manual 0.5 0 ... \n",
+ "1 manual 0.5 0 ... \n",
+ "2 manual 0.5 0 ... \n",
+ "3 manual 0.5 0 ... \n",
+ "4 manual 0.5 0 ... \n",
+ "5 manual 0.5 0 ... \n",
+ "6 manual 0.5 0 ... \n",
+ "\n",
+ " payoff-include-votes-cost? voting-mechanism [step] mean payoff-sign-list \\\n",
+ "0 False 1p1v 1000 0.807 \n",
+ "1 False 1p1v 1000 0.822 \n",
+ "2 False 1p1v 1000 0.777 \n",
+ "3 False 1p1v 1000 0.797 \n",
+ "4 False 1p1v 1000 0.822 \n",
+ "5 False 1p1v 1000 0.789 \n",
+ "6 False 1p1v 1000 0.811 \n",
+ "\n",
+ " mean payoff-list standard-deviation payoff-list mean vote-sum-list \\\n",
+ "0 9.252325 10.720377 -0.258 \n",
+ "1 4.404294 4.845724 0.018 \n",
+ "2 12.674151 15.903170 -0.092 \n",
+ "3 27.310192 33.596832 0.172 \n",
+ "4 43.343398 47.754228 1.078 \n",
+ "5 92.669346 113.352887 0.922 \n",
+ "6 133.714622 153.346359 -0.640 \n",
+ "\n",
+ " standard-deviation vote-sum-list mean mean-median-same-sign-list \\\n",
+ "0 6.983854 0.807 \n",
+ "1 3.375659 0.822 \n",
+ "2 9.904021 0.777 \n",
+ "3 21.449627 0.797 \n",
+ "4 32.428406 0.822 \n",
+ "5 71.479138 0.789 \n",
+ "6 99.696267 0.811 \n",
+ "\n",
+ " wellfare-loss \n",
+ "0 0.193 \n",
+ "1 0.178 \n",
+ "2 0.223 \n",
+ "3 0.203 \n",
+ "4 0.178 \n",
+ "5 0.211 \n",
+ "6 0.189 \n",
+ "\n",
+ "[7 rows x 21 columns]"
+ ]
+ },
+ "execution_count": 34,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df11 = pd.read_csv('2020.07.10 1p1v-normal-dist.csv')\n",
+ "df11['wellfare-loss'] = 1 - df11['mean payoff-sign-list']\n",
+ "df11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 31,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "No handles with labels found to put in legend.\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "mean wellfare loss: 0.1964285714285714\n"
+ ]
+ }
+ ],
+ "source": [
+ "f, ax1 = plt.subplots(figsize=(4, 3))\n",
+ "sns.scatterplot(x=\"number-of-voters\",\n",
+ " y=\"wellfare-loss\",\n",
+ " data=df11,\n",
+ " ax=ax1)\n",
+ "\n",
+ "ax1.set(xscale=\"log\",ylim=(0,1))\n",
+ "ax1.set_xlabel(\"Number of Voters (log scale)\", fontsize=12)\n",
+ "ax1.set_ylabel('Prop8 WL', fontsize=12)\n",
+ "ax1.tick_params(labelsize=10)\n",
+ "\n",
+ "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
+ "# plt.savefig(\"figures/sQV_WL_vs_n_voters_prop8.png\", bbox_inches='tight', dpi=300)\n",
+ "plt.show()\n",
+ "print(\"mean wellfare loss: {}\".format(df11['wellfare-loss'].mean()))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Vote vs Utility Graphs\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 54,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "d1p1v = pd.read_csv('u-vs-v-1p1v.csv')\n",
+ "QV0 = pd.read_csv('u-vs-v-QV-no-variance.csv')\n",
+ "QV5 = pd.read_csv('u-vs-v-QV-variance=.050.csv')\n",
+ "QVrdrm = pd.read_csv('u-vs-v-QV-rdrm.csv')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 55,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "\n",
+ "\n",
+ "f, axes = plt.subplots(1, 4, figsize=(12, 3), sharex=True)\n",
+ "\n",
+ "sns.scatterplot(x=\"u\", y=\"v\", data = d1p1v, ax=axes[0])\n",
+ "sns.scatterplot(x=\"u\", y=\"v\", data = QV0, ax=axes[1])\n",
+ "sns.scatterplot(x=\"u\", y=\"v\", data = QV5, ax=axes[2])\n",
+ "sns.scatterplot(x=\"u\", y=\"v\", data = QVrdrm, ax=axes[3])\n",
+ "\n",
+ "for i in range(4):\n",
+ " axes[i].set_ylabel('')\n",
+ " axes[i].set_xlabel('utility')\n",
+ "axes[0].set_ylabel('votes')\n",
+ "\n",
+ "\n",
+ "axes[0].set_title('a) 1p1v', fontsize=12)\n",
+ "axes[1].set_title('b) QV-PMP variance=0', fontsize=12)\n",
+ "axes[2].set_title('c) QV-PMP variance=.05', fontsize=12)\n",
+ "axes[3].set_title('d) QV-RDRM', fontsize=12)\n",
+ "\n",
+ "plt.savefig('figures/QV-u-vs-v.png', bbox_inches='tight', dpi=300)\n",
+ "plt.show()\n"
+ ]
+ },
+ {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "mQV2 = pd.read_csv('u-vs-v-mQV-2-issues.csv')\n",
+ "mQV5 = pd.read_csv('u-vs-v-mQV-5-issues.csv')\n",
+ "mQV10 = pd.read_csv('u-vs-v-mQV-10-issues.csv')\n",
+ "\n",
+ "mQV2voters = pd.read_csv('u-vs-v-mQV-2-individuals.csv')\n",
+ "mQV2voters['high-u?'] = mQV2voters['color'] > 0\n",
+ "\n",
+ "f, axes = plt.subplots(1, 4, figsize=(12, 3), sharex=True)\n",
+ "\n",
+ "sns.scatterplot(x=\"u\", y=\"v\", data = mQV2, ax=axes[0])\n",
+ "sns.scatterplot(x=\"u\", y=\"v\", data = mQV5, ax=axes[1])\n",
+ "sns.scatterplot(x=\"u\", y=\"v\", data = mQV10, ax=axes[2])\n",
+ "sns.lineplot(x=\"u\", y=\"v\", hue='high-u?', marker='o', data = mQV2voters, ax=axes[3])\n",
+ "\n",
+ "for i in range(3):\n",
+ " axes[i].set_ylabel('')\n",
+ " axes[i].set_xlabel('utility')\n",
+ "axes[0].set_ylabel('votes')\n",
+ "\n",
+ "axes[0].set_title('a) mQV - 2 issues', fontsize=12)\n",
+ "axes[1].set_title('b) mQV - 5 issues', fontsize=12)\n",
+ "axes[2].set_title('c) mQV - 10 issues', fontsize=12)\n",
+ "axes[3].set_title('d) mQV - 2 voters', fontsize=12)\n",
+ "axes[3].get_legend().remove()\n",
+ "\n",
+ "plt.savefig('figures/mQV-u-vs-v.png', bbox_inches='tight', dpi=300)\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Beta Distribution"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 102,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "import scipy.stats as stats\n",
+ "\n",
+ "dfb = pd.DataFrame(columns=['x', 'y', 'var'])\n",
+ "fig, ax = plt.subplots(figsize=(4, 3))\n",
+ "\n",
+ "# plt.plot([0.5, 0.5], [0, 4], '-')\n",
+ "\n",
+ "for var in [0.01, 0.05, 0.082]:\n",
+ " ave = 0.5\n",
+ " max_var = ave - ave ** 2\n",
+ "\n",
+ " a = ave ** 2 * ( (1 - ave) / var - 1 / ave)\n",
+ " b = a * (1 / ave - 1)\n",
+ "\n",
+ " x = np.arange(0, 1.01, 0.01)\n",
+ " y = stats.beta.pdf(x, a, b)\n",
+ " \n",
+ " sns.lineplot(x, y, ax=ax)\n",
+ "\n",
+ "plt.ylim(0, 4)\n",
+ "ax.set_ylabel('probability density function')\n",
+ "plt.savefig('figures/beta-dist.png', bbox_inches='tight', dpi=300)\n",
+ " \n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.8.3"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/data-analysis/analysis-for-css2020/.ipynb_checkpoints/Jacob -mQV vs 1p1v-checkpoint.ipynb b/data-analysis/analysis-for-css2020/.ipynb_checkpoints/Jacob -mQV vs 1p1v-checkpoint.ipynb
new file mode 100644
index 0000000..a21b1b7
--- /dev/null
+++ b/data-analysis/analysis-for-css2020/.ipynb_checkpoints/Jacob -mQV vs 1p1v-checkpoint.ipynb
@@ -0,0 +1,1796 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "ToDo:\n",
+ "- Add 1p1v as benchmarks on QV graphs"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Imports + Loading Data & Helper Functions"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import pandas as pd\n",
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "import seaborn as sns\n",
+ "\n",
+ "\n",
+ "import matplotlib \n",
+ "font = {'size' : 12}\n",
+ "matplotlib.rc('font', **font)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def to_array(string):\n",
+ " return np.array([float(el) for el in string.replace(\"[\", \"\").replace(\"]\",\"\").split(\" \")])\n",
+ "def WL_per_issue(payoffs):\n",
+ " return (payoffs < 0) * 1"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "\n",
+ "def load_csv_to_dataframe(csv_path):\n",
+ " df = pd.read_csv(csv_path)\n",
+ "\n",
+ " cols_to_drop = ['vote-portion-strategic', 'proportion-of-strategic-voters', 'minority-power',\n",
+ " 'y-axis', 'x-axis', 'issue-num', 'poll-response-rate', '[step]']\n",
+ " df.drop(columns=cols_to_drop, inplace=True)\n",
+ "\n",
+ " df['total-payoff-per-issue'] = df['total-payoff-per-issue'].apply(to_array)\n",
+ " df['mean-utilities'] = df['mean-utilities'].apply(to_array)\n",
+ " df['median-utilities'] = df['median-utilities'].apply(to_array)\n",
+ " df['mean-median-same-sign-list'] = df['mean-median-same-sign-list'].apply(to_array)\n",
+ "\n",
+ "\n",
+ "\n",
+ " df['WL-per-issue'] = df['total-payoff-per-issue'].apply(WL_per_issue)\n",
+ " df['mean-WL'] = df['WL-per-issue'].apply(np.mean)\n",
+ " return df\n",
+ "\n",
+ "\n",
+ "def aggregate_by_num_voters_num_issues(ldf):\n",
+ " ladf = ldf.groupby(['number-of-voters', 'number-of-issues']).aggregate('mean').reset_index()\n",
+ " n_issues_dict = {2:'two', 4: 'four', 5:'five', 6: 'six', 8: 'eight', 10: 'ten'}\n",
+ " ladf['num_issues'] = ladf['number-of-issues'].apply(lambda x: n_issues_dict[x])\n",
+ " ladf['n-voters'] = ladf['number-of-voters'].apply(lambda n: \"=\" + str(n))\n",
+ " return ladf\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "\n",
+ "# Helper functions\n",
+ "def plot_WL_vs_n_issues(ladf, \n",
+ " title, \n",
+ " hue='number-of-voters', \n",
+ " ylim=(0, 0.25), \n",
+ " WL_col = \"mean-WL\"):\n",
+ " \n",
+ " ax2 = sns.scatterplot(x=\"number-of-issues\", \n",
+ " y=WL_col,\n",
+ " hue=hue,\n",
+ " data = ladf,)\n",
+ "\n",
+ " ax2.set(ylim=ylim,\n",
+ " xlabel = \"number-of-issues\")\n",
+ "\n",
+ " plt.title(title)\n",
+ " plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
+ " plt.show()\n",
+ "\n",
+ "def plot_WL_vs_n_voters(ladf, title, \n",
+ " hue='number-of-issues', \n",
+ " ylim = (0, 0.25),\n",
+ " WL_col=\"mean-WL\"):\n",
+ " f, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 5))\n",
+ " sns.scatterplot(x=\"number-of-voters\", \n",
+ " y=WL_col,\n",
+ " data = ladf,\n",
+ " hue=hue,\n",
+ " ax=ax1)\n",
+ "\n",
+ " sns.scatterplot(x=\"number-of-voters\", \n",
+ " y=WL_col,\n",
+ " data = ladf,\n",
+ " hue=hue,\n",
+ " ax=ax2)\n",
+ " \n",
+ " ax1.legend_.remove()\n",
+ " ax2.set(xscale=\"log\", xlabel = \"number-of-voters (log scale)\")\n",
+ " ax1.set(ylim=ylim, xlim=(0, 10100))\n",
+ " ax2.set(ylim=ylim)\n",
+ " f.suptitle(title)\n",
+ " \n",
+ " \n",
+ " plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "True"
+ ]
+ },
+ "execution_count": 9,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df = load_csv_to_dataframe('2020.02.19-multi-issue-QV-non-strategic-voting.csv')\n",
+ "# checking that mean-WL is 0 whenever maximial-utility? is True and is >0 when maximal utility is false\n",
+ "all(df['maximal-utility?'].apply(lambda mu: not mu) == np.ceil(df['mean-WL']))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "# Wellfare loss of QV and 1p1v in multi-issue voting -- all utilities from normal distrubution with $\\mu=0$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "## Dataframe prep"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 397,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": [
+ "df_normal = df[df['utility-distribution'] == \"Normal mean = 0\"] \n",
+ "dfn_qv = df_normal[df_normal['QV?'] == True]\n",
+ "dfn_1p1v = df_normal[df_normal['QV?'] == False]"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "## 1p1v wellfare loss - all utilities from normal distrubution with $\\mu=0$\n",
+ "\n",
+ "As expected, wellfare loss doesn't depend on number of issues or number of voters for 1p1v with all utility distrubtions normal with $\\mu=0$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "### Dataframe prep"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 407,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": [
+ "adf_1p1v = dfn_1p1v.groupby(['number-of-voters', 'number-of-issues']).aggregate('mean').reset_index()\n",
+ "n_issues_dict = {2:'two', 4: 'four', 6: 'six', 8: 'eight', 10: 'ten'}\n",
+ "adf_1p1v['num_issues'] = adf_1p1v['number-of-issues'].apply(lambda x: n_issues_dict[x])"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "### 1p1v wellfare loss vs number of voters and issues"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 359,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_1p1v, '1p1v wellfare loss vs n_voters - All normal $\\mu=0$', hue='num_issues')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "## QV wellfare loss - all utilities from normal distrubution with $\\mu=0$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "### Dataframe prep"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 448,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": [
+ "## Prepare aggregate data frame\n",
+ "adf_qv = dfn_qv.groupby(['number-of-voters', 'number-of-issues']).aggregate('mean').reset_index()\n",
+ "n_issues_dict = {2:'two', 4: 'four', 6: 'six', 8: 'eight', 10: 'ten'}\n",
+ "adf_qv['num_issues'] = adf_qv['number-of-issues'].apply(lambda x: n_issues_dict[x])\n",
+ "adf_qv['n-voters'] = adf_qv['number-of-voters'].apply(lambda n: \"=\" + str(n))\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "### QV wellfare loss vs number of voters\n",
+ "\n",
+ "Seems that in this case (all normal distrubtions), wellfare loss does not significantly decrease with number of voters, at least not up to 10k voters. "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 361,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_qv, 'QV wellfare loss vs n_voters - All normal $\\mu=0$', hue='num_issues')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "### QV wellfare loss vs number of issues for plot\n",
+ "\n",
+ "Wellfare loss decreases slowly with the number of issues. It reaches about .07 with ten issues. "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 409,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "0.20398952380952354"
+ ]
+ },
+ "execution_count": 409,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 480,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# plot_WL_vs_n_issues(adf_qv, 'QV wellfare loss vs n issues, $\\mu=0$', hue='n-voters')\n",
+ "adf = dfn_qv.groupby(['number-of-issues']).aggregate('mean').reset_index()\n",
+ "f, ax = plt.subplots(figsize=(4, 3))\n",
+ "sns.scatterplot(x=\"number-of-issues\", \n",
+ " y=\"mean-WL\",\n",
+ "# hue='n-voters',\n",
+ " ax = ax,\n",
+ " data = adf)\n",
+ "\n",
+ "ax.set(ylim=(0, 0.25), \n",
+ " xlabel = \"Number of Issues\",\n",
+ " ylabel=\"normal dist. WL\")\n",
+ "\n",
+ "WL_1p1v = adf_1p1v['mean-WL'].mean()\n",
+ "plt.plot([2, 10], [WL_1p1v]*2, 'k--', linewidth=1)\n",
+ "\n",
+ "# plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
+ "plt.savefig('figures/mQV_WL_vs_n_issues_𝜇=0.png', bbox_inches='tight', dpi=300)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Wellfare loss of QV and 1p1v in multi-issue voting -- all utilities from normal distrubution with $\\mu=0$ except for one with Prop8 Calibration using uniform distributions"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Dataframe prep"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "df_prop8 = df[df['utility-distribution'] == \"Prop8 mean>0\"].copy()\n",
+ "df_prop8['Prop8-WL'] = df_prop8['WL-per-issue'].apply(lambda ar: ar[0])\n",
+ "df_prop8['all-but-pop8-WL'] = df_prop8['WL-per-issue'].apply(lambda ar: np.mean(ar[1:]))\n",
+ "df8_qv = df_prop8[df_prop8['QV?'] == True]\n",
+ "df8_1p1v = df_prop8[df_prop8['QV?'] == False]\n",
+ "\n",
+ "# 1p1v dataframes \n",
+ "adf_8_1p1v = df8_1p1v.groupby(['number-of-voters', 'number-of-issues']).aggregate('mean').reset_index()\n",
+ "n_issues_dict = {2:'two', 4: 'four', 5:'five', 6: 'six', 8: 'eight', 10: 'ten'}\n",
+ "adf_8_1p1v['num_issues'] = adf_8_1p1v['number-of-issues'].apply(lambda x: n_issues_dict[x])\n",
+ "adf_8_1p1v['n-voters'] = adf_8_1p1v['number-of-voters'].apply(lambda n: \"=\" + str(n))\n",
+ "\n",
+ "# QV dataframe prep\n",
+ "adf_8_qv = df8_qv.groupby(['number-of-voters', 'number-of-issues']).aggregate('mean').reset_index()\n",
+ "n_issues_dict = {2:'two', 4: 'four', 5: 'five', 6: 'six', 8: 'eight', 10: 'ten'}\n",
+ "adf_8_qv['num_issues'] = adf_8_qv['number-of-issues'].apply(lambda x: n_issues_dict[x])\n",
+ "adf_8_qv['n-voters'] = adf_8_qv['number-of-voters'].apply(lambda n: \"=\" + str(n))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## WL vs N voters for paper (both QV and 1p1v)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "adf_8_1p1v2 = df8_1p1v.groupby(['number-of-voters']).aggregate('mean').reset_index()\n",
+ "adf_8_1p1v2['num_issues'] = 'one/1p1v'\n",
+ "# plot_WL_vs_n_voters(adf_8_1p1v2, \n",
+ "# '1p1v wellfare loss vs n_voters - just prop8 issue', \n",
+ "# ylim=(0,1.1),\n",
+ "# hue='num_issues',\n",
+ "# WL_col = \"Prop8-WL\")\n",
+ "# plot_WL_vs_n_voters(adf_8_qv, \n",
+ "# 'QV wellfare loss vs n_voters - just prop8 issue', \n",
+ "# hue='num_issues',\n",
+ "# ylim=(0,1),\n",
+ "# WL_col = \"Prop8-WL\")\n",
+ "wl_nv_df = adf_8_qv.append(adf_8_1p1v2, sort=False)\n",
+ "wl_nv_df['QV?'] = wl_nv_df['QV?'].apply(lambda x: 2 if x ==0 else 1)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# plot_WL_vs_n_issues(adf_qv, 'QV wellfare loss vs n issues, $\\mu=0$', hue='n-voters')\n",
+ "\n",
+ "\n",
+ "f, ax = plt.subplots(figsize=(4, 3))\n",
+ "sns.scatterplot(x=\"number-of-voters\", \n",
+ " y=\"Prop8-WL\",\n",
+ " hue='num_issues',\n",
+ " style='QV?',\n",
+ " ax = ax,\n",
+ " data = wl_nv_df)\n",
+ "\n",
+ "ax.set(ylim=(0, 1), \n",
+ " xscale='log',\n",
+ " xlabel = \"Number of Voters\",\n",
+ " ylabel=\"Prop8 WL\")\n",
+ "\n",
+ "\n",
+ "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
+ "plt.savefig('figures/mQV_WL_vs_voters_prop8.png', bbox_inches='tight', dpi=300)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " number-of-voters \n",
+ " number-of-issues \n",
+ " [run number] \n",
+ " QV? \n",
+ " maximal-utility? \n",
+ " mean-WL \n",
+ " Prop8-WL \n",
+ " all-but-pop8-WL \n",
+ " num_issues \n",
+ " n-voters \n",
+ " \n",
+ " \n",
+ " \n",
+ " \n",
+ " 5 \n",
+ " 11 \n",
+ " 10.0 \n",
+ " 19500.5 \n",
+ " 1 \n",
+ " 0.471 \n",
+ " 0.0744 \n",
+ " 0.068 \n",
+ " 0.075111 \n",
+ " ten \n",
+ " =11 \n",
+ " \n",
+ " \n",
+ " 11 \n",
+ " 51 \n",
+ " 10.0 \n",
+ " 39500.5 \n",
+ " 1 \n",
+ " 0.436 \n",
+ " 0.0777 \n",
+ " 0.119 \n",
+ " 0.073111 \n",
+ " ten \n",
+ " =51 \n",
+ " \n",
+ " \n",
+ " 17 \n",
+ " 101 \n",
+ " 10.0 \n",
+ " 59500.5 \n",
+ " 1 \n",
+ " 0.434 \n",
+ " 0.0785 \n",
+ " 0.137 \n",
+ " 0.072000 \n",
+ " ten \n",
+ " =101 \n",
+ " \n",
+ " \n",
+ " 23 \n",
+ " 501 \n",
+ " 10.0 \n",
+ " 79500.5 \n",
+ " 1 \n",
+ " 0.395 \n",
+ " 0.0852 \n",
+ " 0.214 \n",
+ " 0.070889 \n",
+ " ten \n",
+ " =501 \n",
+ " \n",
+ " \n",
+ " 29 \n",
+ " 1001 \n",
+ " 10.0 \n",
+ " 99500.5 \n",
+ " 1 \n",
+ " 0.383 \n",
+ " 0.0873 \n",
+ " 0.240 \n",
+ " 0.070333 \n",
+ " ten \n",
+ " =1001 \n",
+ " \n",
+ " \n",
+ " 35 \n",
+ " 5001 \n",
+ " 10.0 \n",
+ " 119500.5 \n",
+ " 1 \n",
+ " 0.436 \n",
+ " 0.0775 \n",
+ " 0.126 \n",
+ " 0.072111 \n",
+ " ten \n",
+ " =5001 \n",
+ " \n",
+ " \n",
+ " 41 \n",
+ " 10001 \n",
+ " 10.0 \n",
+ " 139500.5 \n",
+ " 1 \n",
+ " 0.493 \n",
+ " 0.0656 \n",
+ " 0.053 \n",
+ " 0.067000 \n",
+ " ten \n",
+ " =10001 \n",
+ " \n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " number-of-voters number-of-issues [run number] QV? maximal-utility? \\\n",
+ "5 11 10.0 19500.5 1 0.471 \n",
+ "11 51 10.0 39500.5 1 0.436 \n",
+ "17 101 10.0 59500.5 1 0.434 \n",
+ "23 501 10.0 79500.5 1 0.395 \n",
+ "29 1001 10.0 99500.5 1 0.383 \n",
+ "35 5001 10.0 119500.5 1 0.436 \n",
+ "41 10001 10.0 139500.5 1 0.493 \n",
+ "\n",
+ " mean-WL Prop8-WL all-but-pop8-WL num_issues n-voters \n",
+ "5 0.0744 0.068 0.075111 ten =11 \n",
+ "11 0.0777 0.119 0.073111 ten =51 \n",
+ "17 0.0785 0.137 0.072000 ten =101 \n",
+ "23 0.0852 0.214 0.070889 ten =501 \n",
+ "29 0.0873 0.240 0.070333 ten =1001 \n",
+ "35 0.0775 0.126 0.072111 ten =5001 \n",
+ "41 0.0656 0.053 0.067000 ten =10001 "
+ ]
+ },
+ "execution_count": 14,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "wl_nv_df[wl_nv_df['num_issues']=='ten']"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## 1p1v wellfare loss"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### 1p1v wellfare loss vs number of voters"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "#### Avg WL of all issues"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 374,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_8_1p1v, \n",
+ " '1p1v avg. wellfare loss vs n_voters - 1 prop8 calibration and rest normal $\\mu=0$', \n",
+ " hue='num_issues',\n",
+ " ylim=(0,1))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "#### WL of Prop8 Issue Only"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 375,
+ "metadata": {
+ "hidden": true,
+ "scrolled": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# adf_8_1p1v[adf_8_1p1v['number-of-issues'].isin([10])]\n",
+ "plot_WL_vs_n_voters(adf_8_1p1v, \n",
+ " '1p1v wellfare loss vs n_voters - just prop8 issue', \n",
+ " hue='num_issues',\n",
+ " ylim=(0,1.1),\n",
+ " WL_col = \"Prop8-WL\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "#### WL of all isues but Prop8 Issue"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 376,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_8_1p1v, \n",
+ " '1p1v wellfare loss vs n_voters - all but prop8 issue', \n",
+ " hue='num_issues',\n",
+ " ylim=(0,1.1),\n",
+ " WL_col = \"all-but-pop8-WL\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### 1p1v wellfare loss vs number of issues"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "#### Avg of all issues"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 377,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_issues(adf_8_1p1v, \n",
+ " '1p1v avg. wellfare loss vs n issues, 1 Prop8 and rest $\\mu=0$', \n",
+ " hue='n-voters',\n",
+ " ylim=(0, 0.7))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "#### Just Prop8 issue and all but "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 378,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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i3mEopVSPIiLbvuoybDbbD5OTk08bPHjwAZvNpud3j5JIJCK1tbUpW7dufeo///nPj1pL7toVr5RS6iux2+3XZGVl1WhSP7psNpvx+Xy1OTk5AYfD8UCr9boyKKWUUr2PMSbF5XIF4x3HscLj8dQZY/q3Nl0Tu1JKqa9KRPT2810l2jPSav7WxK6UUkr1IprYlVJKqV5EE7tSSin1Fdx2221ZF1544ZB4x9FAE7tSSikVR8Fg54471MSulFKq18rOzj7xpz/9ab/hw4ePSkpKyj///POH+v3+Q0b63Xvvvf3PPffcoU3LrrnmmoFXX331QICtW7c6J0+enJuSkpI/aNCgMY8//ngGwPz585N/85vf9H/jjTdSvV5vwYgRI0YBlJWV2b/73e8OzszMHNu3b9+xN998c1YoFALgySefTB83btwJ11133cA+ffrk33777Vlr1qxxn3TSSSOSkpLyU1NT884///yhHKFec4MapZRSKpbXXnstbfHixRs8Hk/k1FNPPeGpp57KuPPOO0ub1rnqqqvKZ82aNWD//v221NTUSCgUYuHChakvvfTSJoCpU6cOPeGEE2oXLlxYvHr16oTzzz9/+LBhw+qnTp1a+a9//Wv3pk2b3AsWLNjSsLz/+q//ysnMzAxt2rRpTVVVle3cc88d9sQTTwTuuOOOfQCffPKJb8qUKeWlpaWr6+vr5dJLL82ZPHlyxccff/xFfX29fPDBB74j3V5tsSullOrVfvjDH+7JyckJ9uvXL3z22WdXrF692tOyzvDhwwOjRo3yz5s3LxXgb3/7W3JCQkLkjDPOqNm4caNz1apVib/5zW92eL1eM2HChNrLLrts3x//+Mf0WOvbvn27Y8mSJSm/+93vvkxOTo5kZ2eHfvSjH+2ZP39+WkOdzMzMwL333rvX6XSSmJhoHA6H+fLLL91bt251er1ec84551Qf6fZqYldKKdWrZWVlNZ7E9nq9kZqaGvvEiROHeb3eAq/XW/DMM8+kAUybNq38lVdeSQOYN29e2sUXX1wO8OWXX7qSk5NDqampkYblDB48OLBr1y5nrPVt3LjRFQqFZMCAAXlJSUn5SUlJ+bfffvvgsrKyxvoDBgxodmL917/+9Q5jDKeeeurI3Nzc0b/61a9iHjS0h3bFK6WUOuYsXbp0Q8uy6dOn73/wwQcHbtq0yblo0aI+S5Ys+Rxg0KBBgcrKSkdDNz1Yyb4hOYtIs1vpDh06NOhyuUx5eflqpzNm7j9knkGDBoVeeumlbQCLFi1K/Pa3vz38zDPPrB4zZkx9R7dNW+xKKaUUkJWVFRo/fnzVlVdemXPccccFxo0bVweQm5sbzM/Pr77llluO8/v98u9//9vz4osvZlx55ZVlAP369Qvt2LHDFQ6HARg8eHDwtNNOq7j++usHlpeX28LhMGvXrnW/8cYbia2t+7nnnkvdtGmTEyA9PT0kIhzpvfc1sSullFJRl1xySdlHH32UPHXq1LKm5a+88srm7du3uwYMGJA3derU44uKinZedNFFVQDTp08vB0hNTc0fNWrUyGj9rYFAQEaOHDmmT58++VOnTj2+pKQkdvMdWLZsme/UU08d6fV6C77zne/k/vznP/9y1KhRgSPZBjGmdzyMp7Cw0OhjW5VSqmNEZKUxpvCrLKO4uHhrXl7evs6KSbWtuLg4Iy8vLyfWtC5rsYvIj0RkhYjUi8jcNureKiK7RaRSRJ4TEffRiCnsD1K/vZKqj0oI7KomUqsPJzqcUHU99SVVVH64g/rtlYSq6uIdEgCR2hCB3TVU/auE+i8rCdd0j79juDZEYE8NVR+VUL+totvE1V1F6kMES639VbdpP6GqDp9aPKZEgmGCZX6q/r2T2vXlur9Uo64cPLcT+DlwDnDIpQYNROQc4C5gcnSe14CHomWdJlIfomrpDqrf39FYlvL/huI7eQA2h56haClUH6Rm5R6q3tzWWJY4KZvEidk4PEfluKtdTChCTfFeKl7f1Fjm+3oWKWcMxpYQv7GhJhyhbl0Z+/+yvrHMe3J/+pw7BJtHx6y2ZIyhbksF5X9cB9FOxITR6fS56HgcSfH7fHVngZJq9v3uU4hYO8w1JIXUS4fjTE6Ic2Qq3rosgxlj/mqMeR0oa6PqVcCzxpi1xpj9wMPA1Z0dT9gfpHppSbOyysXbCFfrUW8sxh+i+p3tzcqql+7E1IXjFJElVF1P5aJtzcpqPtxJOM69L6Hqeir+vqVZmX/Z7rjH1V2FKuqofGNLY1IHqFtbhqmP7+eruwpW1VH55tbGpA4Q2FJBpEo/X6p7Dp4bDRQ3eV8M9BORQ67pE5Hro937K0pLS1tOPiwTMc2+FAAmGIZeMuag8xlMMNK8KGziv7sMh/74R8BEIrHrdxUDkZZxmW4QVzdlTIRIXeiQ8khQE3ssJhSOub/CdZrYVfdM7IlARZP3Df9PalnRGPM7Y0yhMaYwMzOzQysxtgiuoSnNytwnphOx6Q9vLBE7JIxpfmzlHpYC9vhm9ogtTEJe87hcOcmYOH+yw7YwnnHN43Iel4ixxymg7s5tI6Gw+XfYkeFBPLrDYhGvg4STMpqV2ZJcONK0G151zxvUVAPJTd43/L+qM1di8zpJumgQNSv2YHYGsA1OwJvfF0diq6f/j2nuZC+2C4Zg759AaEsN9oEekk7JxpkS3/3lTPLgm5yFpDuJbK1FBrjwntQPmze+CcGd5MNMHACpDiKbapF+Trzj+yOe7ngsHX8ur4fEk/sjiTZCn1cj6U4ST89G4vx37K6cbjfeMRnghuCnVUiKncSvZ4PnkGebqGNQd0zsa4E84JXo+zxgjzGmrXPzHeJ0u4kkhfFO6EfQX4fT58GR4MZu1x+S1jhTPPgmDCDytTDisuP0xv8gyGaz40hOwDM+k+CoWpzeBOwuF053fFsuIoIz2YPna5kER9Ti9Hqwuxy4EuK/z7orVx8fkbxMzMh0cAgOTwKOVu7apaL7a5TBfXwq4hAcCS4cLh1oqLowsYuII7o+O2AXkQQgZIxpeaLoT8BcEZmHNSr+PmDu0YjJ7fGCxwt9jsbSeyeXx3OYaxriw+l243S7ITml7cpdyOFy4XC5ul1c3VlCYqs35lIxJPgS4YifAaZ6q67sF7wPqMW6bO2K6P/vE5FBIlItIoMAjDFvAY8C7wFfAtuAB7owTqWUUqrH6srL3R40xkiL14PGmC+NMYnGmC+b1J1ljOlnjEk2xlxjjNFr0JRSSh0VM2bMyBwzZsxIl8s1bsqUKTlNp9XV1cm55547NDs7+0QR+drChQsPGcjd3ehIHqWUUse07OzsYFFR0a5p06bFvC3uhAkTqp977rktGRkZPeJ6wu44eE4ppdQx4s8fb0t78p0N2aVV9a7MJHfg5jOGlVxxyuDyrozhqquuOgCwfPlyb0lJiavptISEBPPTn/50L4DN1jPawprYlVJKxcWfP96W9vDCdYPrQxEbwN6qetfDC9cNBuis5D5p0qTcFStWxByVWVhYWP3ee+9t7Iz1dCea2JVSSsXFk+9syG5I6g3qQxHbk+9syO6sxN4bE3dbeka/glJKqV6ntKre1ZFy1T7aYldKKRUXmUnuwN4YSTwzyR3orHVMnDhx2OG64pcuXbqhs9bVXWhiV0opFRc3nzGspOk5dgC3wxa5+YxhJYebryPak7iDwSDBYFDC4bCEw2Hx+/3idDqNM3rnw9raWjHRJ14FAgHx+/2SkJBguutgOk3sSiml4qLhPHq8R8UXFRVlPfHEEwMa3vt8vrRbb71116xZs3YC5Obmjtm5c6cLYMqUKcMAPv/8809HjBjRaT0LnanxKKSnKywsNCtWrIh3GEop1aOIyEpjTOFXWUZxcfHWvLy8mNeAq6OjuLg4Iy8vLyfWtO7Zj6CUUkqpI6KJXSmllOpFNLErpZRSvYgmdqWUUqoX0cSulFJK9SKa2JVSSqleRBO7Ukop1YtoYldKKaV6EU3sSimlVC+iiV31CnXVAWoq6qmt6pZ3eFRKdWPjx48f4Xa7x3m93gKv11uQk5MzpmHatm3bnJMnT87t27fvWBH52hdffNHtnzyniV31eFVltfz9mU+ZW/QhC361ivKdNZhI77hVslKqazzyyCNf+v3+VX6/f9XWrVvXNJTbbDZz9tlnV7zwwgub4hlfR+hDYFSPVlsVYNGctezZUglAWUkN//fkar57dyHeFHeco1NKtWn5s2ks+UU21XtdJPYN8I2iEk66rksfAnM4AwcODN11112lwWAw3qG0m7bYVY8WDpvGpN6g5kA9wUAkThEppdpt+bNpLLp7MNV7XGCgeo+LRXcPZvmzaZ21ikmTJuUmJSXlx3pNmjQpt6Heww8/nJ2ampo3bty4ExYuXJjUWeuPB22xqx7NZoOUvh4q9tY2lrkS7DicesyqVLe35BfZhOqbf1lD9TaW/CK7s1rt77333sa26sycOXNHQUFBbUJCgpkzZ07aJZdckrts2bJ1o0ePru+MGLqa/vqpHs2T5OLs68aQkOgEwOm2c/b3xpDg6x7HrMFAGH9FPfW1PacbT6kuU7039kC01sqPksmTJ9ekpqZGPB6Puemmm8rGjRtX/frrr6d0ZQydqXv8+qkeoa4mSPX+enZtOkD/ISkkpblJSIzvAFERIf04H/91/3iC9WGcLjtunwO70x7XuAD8lQGWv7GFbWvKyBiYxOnTcklO98Q7LKW6j8S+AasbPkZ5J5k4ceKwFStWJMaaVlhYWL106dINLctFBGN67gDcYzqxB+vC1NcG8VcF8CW7cXsdOFzxTwjdUSgQ5vOPdvHh/IO9WoXn5zDurEE4E+L7MbLbbfi62UC5QG2IpS+vZ9PKvQBUldVRXlLNxXeMw5vcvWJVKm6+UVTCorsHN+uOd7gjfKOopLNWEStxN7Vv3z77kiVLfOedd16V0+k0c+bMSVu+fHniU0899WVDHb/fL6FQSADq6urE7/eL1+vttpn/mE3soUCYrZ/u4+0/rCMSMdgdNs6/cSzZw/tgs+sZipbqa0Ms+9uWZmX/WbSN0V/Pjnti746CgTCbV5U2K6sorSVYH45TREp1Qw3n0eM4Kj4QCMgDDzyQPX369ASbzWaGDh1a98ILL2waO3Zs4/l1n883ruH/+fn5YwCMMSu7KsaOOmZ/kev9Id778+dEotc7h0MR3p67ju/ec1K3a/11B8ZYB0NNRUIG9HrxmEQgMdVNVVldY5nNJtgdetCoOlegLoTdYeu5n62TriuP5+VtWVlZoTVr1nx2uDrdOYnH0kM/CV9dOBQ5pPXkrwjojU1a4XTZyC3s26xs0Kg0PXXRCk+ii8nTR2JzSGPZKRcfj8tzzB5Lt4u/MkBlWS01B+oJh/SSxcOpqwmyeXUpi+es5cO/bqR6f13bM6ljwjH7K+Nw2Ugd4GX/Ln9jWdbwPnqZVCvcXidf/+5w+g5OZtvaMrKHpzLqtKzG0eiqObEJ/Yckc+XPJ1BZWktimhu3x4FLT1u0qrKsljd++wnlO2tweRyccdVIBo5MxenWfdaSiRi2rC7l3ec/byzb/J9Spt1dqD2Oquta7CKSJiKviUiNiGwTkctaqecWkdkiskdEykXkbyKS3dnxeJPdXPCjPAaPSSMh0UnuuL6cde3ouI/y7s48SS7GTh7IudePoeDsQXiTdV8djsNlJ7GPm6xhfUhO9+D26kFQa+r8QZa88AXlO2sAa/Dhot+vob5WxyTEUlsdZPU725uV1Ryob3bqRx27uvJQ+LdAAOgH5ANviEixMWZti3q3AKcCY4EK4HfAb4CLOzug5HQPZ107mlAwgtNl127SdrDZBLdHE5TqXOFg5JA7CEbChrrqAIl9tAXaks0muBIOPQ2mp8YUdFGLXUR8wBTgfmNMtTHmn8D/AVfGqD4EWGSM2WOMqQNeBkYfrdjcXie+FLcmdaXiyOGyMyC3+f1A7A4bHu1Biykh0clpU4YhtoNjOLKGpeBL0f2luq7FPhwIGWPWNykrBr4Ro+6zwK9FJAs4AFwOvBlroSJyPXA9wKBBgzo1YKVU13F7HHzj0hHUVq1hz5ZKvMkuzrh6FG6vHnC3Jv04H1f87BS+XFdOcoaHjOMS8SRpYlddl9gTgcoWZRWZK5ouAAAgAElEQVRArBvtbwC2AyVAGPgU+FGshRpjfofVVU9hYaEOZ1eqB0tMTeD8G8cSDkYQm5CQ6MSu95RoldPtwOl2MGZipw9BUj1cV31rqoHkFmXJQFWMur8F3EA64AP+SistdqVU7+JJdJGYmoAvxa1JXakj1FXfnPWAQ0SGNSnLA1oOnANrYN1cY0y5MaYea+DceBHJ6II4lVJKqR6tSxK7MaYGq+X9MxHxichpwIXA8zGqLwemi0iKiDiBG4Cdxph9XRGrUkqpY8uMGTMyx4wZM9Llco2bMmVKTsvpCxYsSBoyZMhoj8dTcPLJJw9fv35942CGOXPmpBYUFJzg8XgKxo8fP6JLA29FV/Z13QB4gL3Ai8APjTFrReTrIlLdpN5PgDqsc+2lwLeA73RhnEoppY4h2dnZwaKiol3Tpk07pAG5a9cuxxVXXHH8/fffv7OsrGx1fn6+f9q0aUMbpmdkZIRuvPHGPTfeeOPuro26dV025NQYUw5cFKP8A6zBdQ3vy7BGwiullOrlXv7i5bTZxbOzy2rLXOme9MAP8n5QcsmIS7r03vFXXXXVAYDly5d7S0pKml1aMG/evD65ubl111577X6Axx57bGffvn3zV61alVBQUFB30UUXVQHMmjWr25wu1mtJlFJKxcXLX7yc9ujyRwcHwgEbwL7afa5Hlz86GKCzkvukSZNyD/c89vfee29jrGkN1q5d6xk1alTjvceTk5MjAwcOrC8uLk4oKCjolrf608SulFIqLmYXz85uSOoNAuGAbXbx7OzOSuxtJe621NTU2DIyMkJNy5KSksKVlZXd9jZ/ej2JUkqpuCirLYt5R53WyuPB5/NFWibx6upqW3Jycrd9kIEmdqWUUnGR7kkPdKT8SEycOHGY1+stiPWaOHHisLbmHz16dO26deu8De8rKytt27dvd+fl5XXLbnjQxK6UUipOfpD3gxKX3RVpWuayuyI/yPtBSWetY+nSpRv8fv+qWK+lS5duAAgGg/j9fgmHwxIOh8Xv90swGATgsssuO7Bhw4aEuXPn9vH7/VJUVDRg+PDhtQ3n10OhEH6/X0KhkEQiEfx+v9TX18thQjrqNLErpZSKi0tGXFJ+50l3bsvwZAQEIcOTEbjzpDu3dfWo+KKioiyfzzfu6aef7r9gwYI0n883rqioKAsgKysr9Pzzz2966KGHstPS0gpWrlyZ+Morr2xumPfpp59Oj9YftHLlykSfzzfusssuG9yV8bckxvSOW6wXFhaaFStWxDsMpZTqUURkpTGm8Ksso7i4eGteXp7eRKwLFRcXZ+Tl5eXEmqYtdqWUUqoX0cSulFJK9SKa2JVSSqleRBO7Ukop1YtoYldKKaV6EU3sSimlVC+iiV31CpH6ekJlZURqa+MdilJKxZU+BEb1eKF9ZZQ99yw1H/yThLFjybz5Jpz9+sU7LKWUigtN7KpHC1dWsftnP6Nq8WIA6jdsoG7dOgbN+T2O9PQ4R6eUUl1Pu+JVjxapq6Xq7bebldV/9pl2yfdAJhQiWFpK/aZNBHfvIVxdHe+QujVjDKHSUuo3bya4ezfhqqp4h9RjjR8/foTb7R7X8HCYnJycMU2nz549Oy0rK+tEj8dTcOaZZx6/Z8+exqe9zZgxI3PMmDEjXS7XuClTpuR0efAxfKXELiJ2EflZZwWjVIeJYE9NbV7kdCJOZ5wCUkcqsHUrW/7ft9l8/gVsnDyZA/Pna3I/jOCOHWyZMpXN3zqfjZMmUzbnWcIVFfEOq8d65JFHvmx4OMzWrVvXNJSvWLEi4fbbbx/87LPPbtm9e3exx+OJXHfddY33gs/Ozg4WFRXtmjZtWre5pe5XbbE7gHs7IxCljoQjNZX+DzwAcvBhSpm3/hhbUlIco1IdFdq/n133/5TwgQNWQSTC3kcfI6KJPaZwdTV7HplJaO9eq8AYyv73fw/uvx6k/MWX0jZ8feKJn40c9bUNX594YvmLL6XFO6am5s6dmz558uQD5513XnVKSkpk5syZOxctWtRn//79NoCrrrrqwJVXXnkgPT09FO9YG3RGV3xcH0+njm3icOA7bQLHv/M2x/3vbI5f9BZ9pk7F7vW2PbPqNkwoRP3mzc0LIxFtgbbC1NVRv2nTIeXBPXviEM2RK3/xpbS9M2cODpWWurBOLbj2zpw5uDOT+6RJk3KTkpLyY70mTZqU21Dv4Ycfzk5NTc0bN27cCQsXLmxsGXz22WcJY8eObTy3N3r06Hqn02nWrFmT0FkxdrbOGDzXOx4Pp9olXF1NxO/H5vFg7yatYrvPh93nw5WVFe9Q1BGy+XwkTZ5ExWuvHyxLSsKe2q0ab92GLSmJpDPPpPzZZxvLxO3GNTiuTwvtsLKnn8429fXNGpimvt5W9vTT2WmX/lenPLr1vffe29hWnZkzZ+4oKCioTUhIMHPmzEm75JJLcpctW7Zu9OjR9X6/356SkhJuWj8xMTFcUVFhb2158dZmYheRyYeZ7OrEWOIiXFlJpK4Om9eLPTEx3uF0a8E9e9jzyEz8y5fjyc+j/7334cwaEO+wuq1IfT3higqCO3fi6NsXe1Iy9iT9jMVi93rpe/vtmHCE6nfewTUkhwE//zmOtNQ25z0W2dxu0q+9hkhNDZVvvIFzwAD6P/QQ9j594h1ah4T27YuZQ1orP1omT55c0/D/m266qeyVV15Je/3111NGjx691+v1hisrK5sdfNTU1ByS7LuT9rTYn21j+pedEUg8BEpK2P3gQ9StWYP35PH0u/tuvf65FaH9+ym57XZqV64EoPqdd9m+o4RBzz2rl5XFYIyh7tNP+fK672Hq60GEfvfeQ8rFF+tpglY4MjLo/8BPidzxE8Rux5GmrfXDcaSn06/oTjJuvAGx2Xrk99CRkREIlZYeksQdGRmBzlrHxIkTh61YsSLmEXVhYWH10qVLN7QsFxGMsTqjR44cWffJJ580fmnXrVvnCgQCMmbMmLrOirGztZnYjTFDuiKQrhYqK2P7f19PIHper+qtRYTLy8l+8kkcPeyotyuY+vrGpN6g/osvMHX1cYqoewuXlbHz7nuspA5gDHt+8ShJZ52lif0wGk6rqPaxeTzYPJ54h3HE0m+4oWTvzJmDm3bHi9sdSb/hhpLOWkesxN3Uvn377EuWLPGdd955VU6n08yZMydt+fLliU899dSXAFdffXXZN7/5zZFvvfVW4oQJE/x333139jnnnHMgNTU1AhAMBgkGgxIOhyUcDovf7xen02mccbwypz1d8XcCS4AVxphu2/XQUZHa2sak3sC/bPnBH2LVnN2OPT2dcFlZY5HN5wOn3uMoJmMIlrT4bQoG9UBIqSYazqOXPf10dmjfPpcjIyOQfsMNJZ11fr09AoGAPPDAA9nTp09PsNlsZujQoXUvvPDCprFjx9YDFBYW1v3yl7/cds011ww5cOCAY8KECZUvvPDC1ob5i4qKsp544onGc5I+ny/t1ltv3TVr1qydXbUNLUlDd0OrFUQWA6dijX7/GCvJLwU+NsZ0m1+pwsJCs2LFinbXD+7dy+bzziNS428sc/TNZMirr+LIzDwaIfZoJhSi+sN/seNHP4JgEBwOsh79BUlnnIHN7Y53eN1OuKqKXffe13hHPABndjY5L7+EIyMjjpEp1ZyIrDTGFH6VZRQXF2/Ny8vrNtdxHwuKi4sz8vLycmJNa09X/NkiYge+Bnw9+roF8InICmCJMea+Toy3S9hTUuj/s5+xs+guCIUQl4sBM2di1/N6MYnDgW/8SeS+/Q9Ce0tx9M3ElpioSb0V9qQk+v/0fmzJydR88AHukSfQ/957NakrpY66dvWjRrvgl0Vfj4tIH+B64DZgAtDjErvN7Sbxm9+0ElV5OY6MDOzJyYi9217BEHcN5/N0gGH7ODIy6H/vPYSrq7G53diTk+MdklLqGNCuxC4i6cDEJq8BwEfAo8AHRy26o6xhoI6zf/94h6J6qZ4+uEkp1fO0eec5EVkHLAe+DawBLjPGZBljphhjZhljlrdnRSKSJiKviUiNiGwTkcsOU3eciCwVkWoR2SMit7R3g5RSSqljWXtuKVsC+IDBwEDgOBE5kut1fgsEgH7A5cAzIjK6ZSURyQDeAv4XSAdygcUt6ymllFLqUG0mdmPMWUAWUARUATcBm0Xk3yLySxG5sK1liIgPmALcb4ypNsb8E/g/4MoY1W8DFhlj5hlj6o0xVcaYzzqwTUoppdQxq10PgTHGhI0xy40xjxtjLgJOAF4FrgD+2o5FDAdCxpj1TcqKgUNa7MApQLmI/EtE9orI30RkUKyFisj1IrJCRFaUlpa2Z1OUUkqpXu1IB8+NBXYC72Bd196WRKCyRVkFEOspIscB44CzgE+xBui9CJzWsqIx5nfA78C6jr0dcSillFK9WnvuPLcOGAFswboxzZPAUmPMlg6spxpoea1PMlbXfku1wGsNg/JE5CFgn4ikGGP0GY5KKaXUYbSnK/5nwEBjTK4x5lpjzB87mNQB1gMOERnWpCwPWBuj7ic0fxSstsSVUkodNTNmzMgcM2bMSJfLNW7KlCk5LacvWLAgaciQIaM9Hk/BySefPHz9+vWND66pra2VadOm5SQmJhZkZGTkPfjgg403+qirq5Nzzz13aHZ29oki8rWmz3k/mtozeO4lY0yze96KyF0dWYkxpgbrXPzPRMQnIqcBFwLPx6j+B+A7IpIvIk7gfuCf2lpXSil1NGRnZweLiop2TZs27ZDb4u7atctxxRVXHH///ffvLCsrW52fn++fNm3a0IbpP/nJT7I2b97s3rJlyyeLFy/+4qmnnuo/f/78xh7qCRMmVD/33HNbMjIygl21PUf6BI97gJkdnOcG4DlgL1AG/NAYs1ZEvg68aYxJBDDGvCsi9wBvAF7gn0Cr17wrpZTquT5dsiNtxd+3ZvsrAi5viitQ+K2ckhO/cVyXPQQG4KqrrjoAsHz5cm9JSUmzx8jOmzevT25ubt211167H+Cxxx7b2bdv3/xVq1YlFBQU1P3lL39Jnz179tbMzMxwZmZm+PLLLy+dO3duxtSpUysTEhLMT3/6070ANlu7xqp3iiNN7NLRGYwx5cBFMco/wBpc17TsGeCZI4xNKaVUD/Dpkh1pH/5l4+BwKGID8FcEXB/+ZeNggM5K7pMmTco93PPY33vvvY2Hm3/t2rWeUaNGNT4tLDk5OTJw4MD64uLihOOOOy5YWlrqPOmkkxqn5+fn17755ptxffb3kSb2P3dqFEoppY45K/6+NbshqTcIhyK2FX/fmt1Zib2txN2WmpoaW0ZGRqhpWVJSUriystJeUVFhA0hPT298pHmfPn3CNTU1cX3oyBH1DRhjftjZgSillDq2+CsCro6Ux4PP54tUVlY2S9TV1dW25OTkcEpKSgRg//79jdMrKipsPp8v3HI5Xak994q3iciPROQZEfl2tGymiHwiIs+LiD68XCmlVId5U1yBjpQfiYkTJw7zer0FsV4TJ04c1tb8o0ePrl23bl3jbdQrKytt27dvd+fl5dVFz6sHly1b1jh99erV3uHDh9d1VvxHoj0t9l9jPaK1CvgfEXkO685z92PdQ/43Ry88pZRSvVXht3JK7A5bpGmZ3WGLFH4rp6Sz1rF06dINfr9/VazX0qVLNwAEg0H8fr+Ew2EJh8Pi9/slGLQGsV922WUHNmzYkDB37tw+fr9fioqKBgwfPry2oKCgDmDq1KllM2bMGFBaWmpftWpVwrx58zKuvvrqxtH1tbW14vf7BSAQCIjf75dIJBIj0s7TnnPsU4B8Y8xeEfk18CWQYYzZLyJLsK5RV0oppTqk4Tx6vEfFFxUVZT3xxBMDGt77fL60W2+9ddesWbN2ZmVlhZ5//vlNt95666Af/OAHQ8eOHVvzyiuvbG6o+/jjj++cPn364CFDhox1u92Rm266affUqVMb77Sam5s7ZufOnS6AKVOmDAP4/PPPPx0xYkSn9Uq0JMYc/v4vIlIO9DPGBEXEg3VrWG/0vR0oNcakHa0A26uwsNCsWLEi3mEopVSPIiIrjTGFX2UZxcXFW/Py8g65BlwdPcXFxRl5eXk5saa1pyv+I+B/ReRcYDbWw1tuF5Ek4Pboe6WUUkp1A+1J7DdgPUP9caybxVwB/AA4gHXu/ZajFp1SSimlOqTNc+zGmG3A+U3LRGQIkGaMKTtagSmllFKq4zp0g5roOfVTgCygRET+bYyJ6/V6SimllDqo3YldRMYCrwMJwA6s56bXich3jDF6nl0ppZTqBjpy57nngN8C2caY8UA28FS0XCmllFLdQEcS+3DgVyZ6fVz0318Dbd65RymllFJdoyOJ/e/At1uU/T+sx6sqpZRSqhvoyOA5O/CSiKwEtgMDga8BC0TkTw2VjDHTOzdEpZRSSrVXR1rsa4AZwCJgXfTfGcBaYFOTl1JKKdVjjB8/foTb7R7X8HCYnJycMU2nz549Oy0rK+tEj8dTcOaZZx6/Z8+exqe57dmzx37WWWcd7/F4CrKysk6cPXt2451Yt23b5pw8eXJu3759x4rI17744osueWpdu1vsxpiHjmYgSimlVLw88sgjX952222H3BZ3xYoVCbfffvvg+fPnb5gwYYL/iiuuGHzdddcNXrhw4WaA733ve4NcLpfZvXt38ccff+ydOnVqbmFhob+wsLDOZrOZs88+u+Kee+7ZddZZZ53QVdvS0evYvwlMxxoRXwI8b4x57yjEpZRS6hiw+h9/T/t4/ovZNQf2u3x9UgOnTL20JP+sb3XpQ2AOZ+7cuemTJ08+cN5551UDzJw5c2d+fv7o/fv32+x2O2+99VbqypUr16akpETOOeec6jPOOKPiueeeSy8sLCwZOHBg6K677ipteFJcV2l3V7yIfA94BdgN/BXYBbwoIv99lGJTSinVi63+x9/T3v/j7wfXHNjvAqg5sN/1/h9/P3j1P/7eaQ8WmzRpUm5SUlJ+rNekSZNyG+o9/PDD2ampqXnjxo07YeHChUkN5Z999lnC2LFjaxvejx49ut7pdJo1a9YkfPrpp26Hw2HGjh1b3zB97Nix/s8//9zTWfEfiY602O8Ezmp6MxoReRl4Ffh9ZwemlFKqd/t4/ovZ4WCwWQMzHAzaPp7/YnZntdrfe++9jW3VmTlz5o6CgoLahIQEM2fOnLRLLrkkd9myZetGjx5d7/f77SkpKc3usJqYmBiuqKiwOxwO4/P5mj1cPSUlJVxdXW0njjoyeC4da9BcU18AcX9kq1JKqZ6noaXe3vKjZfLkyTWpqakRj8djbrrpprJx48ZVv/766ykAXq83XFlZ2SxX1tTU2FNSUsJJSUnhmpqaZtMqKyvtiYmJcb3VekcS+z+BWSLiBRARH/AY8K+jEZhSSqnezdcnNdCR8iMxceLEYQ2j3Vu+Jk6cGPMGayJC9F5sjBw5su6TTz7xNkxbt26dKxAIyJgxY+pOPPHE+lAoJJ9++qm7Yfonn3ziOeGEE2pjLLbLdCSx/wAYC1SIyB6sx7bmAd8/GoEppZTq3U6ZemmJ3els1pVtdzojp0y9tKSz1rF06dINfr9/VazX0qVLN+zbt8/+6quvJvv9fgkGgzzzzDNpy5cvT/z2t79dAXD11VeXvfvuu33eeuutxMrKStvdd9+dfc455xxITU2NJCcnR84555wD99xzT1ZlZaVt8eLFvrfffrvPtdde2/jkU7/fL7W1tTaAuro68fv90lnb1pp2nWMXEQE8wBlAf6ynu+00xuw4irEppZTqxRrOo8dzVHwgEJAHHngge/r06Qk2m80MHTq07oUXXtjUMCCusLCw7pe//OW2a665ZsiBAwccEyZMqHzhhRe2Nsz/7LPPbrv88stz+vXrl9enT5/QY4899mVhYWFdw3SfzzeucXvz88cAGGNWHs1tkobuhjYritQAScaYSJuV46CwsNCsWLEi3mEopVSPIiIrjTGFX2UZxcXFW/Py8g65BlwdPcXFxRl5eXk5saZ1pCt+FdaDYJRSSinVTXXkcrf3gbdEZC7WveIbm/rGGH10q1JKKdUNdCSxnwZsAb7Rotygz2RXSimluoU2E3v08rb7gGrgP8AMY0z94edSSimlVDy05xz7b7Geu/4ZMAX45VGNSCmllFJHrD2J/VzgbGPMncB5wAVHsiIRSROR10SkRkS2ichlbdR3ichnIqKX1CmllFLt1J5z7D5jzC4AY8x2EUk5wnX9FggA/YB84A0RKTbGrG2l/h1AKZDUynSllFJKtdCexO4QkUmAtPIeY8y7h1tA9PazU4Axxphq4J8i8n/AlcBdMeoPAa4AbkMfMKOUUkq1W3sS+16aj3ova/HeAEPbWMZwIGSMWd+krJhDR9g3+A1wD3DY++2KyPXA9QCDBg1qIwSllFKq92vzHLsxJscYM+Qwr7aSOkAiUNmirIIY3ewi8h3Abox5rR2x/c4YU2iMKczMzGxHGEoppVRzM2bMyBwzZsxIl8s1bsqUKTktpy9YsCBpyJAhoz0eT8HJJ588fP369Y1Pn6utrZVp06blJCYmFmRkZOQ9+OCD/do775w5c1ILCgpO8Hg8BePHjx/RWdvTkTvPfRXVQHKLsmSgqmlBtMv+UeDmLopLdUA4Emaffx8lVSWU+ksJRULxDkmpY1p5XTk7q3ey17+XulBd2zOomLKzs4NFRUW7pk2bdshtcXft2uW44oorjr///vt3lpWVrc7Pz/dPmzatsUH7k5/8JGvz5s3uLVu2fLJ48eIvnnrqqf7z589Pbs+8GRkZoRtvvHHPjTfeuLszt6cjN6j5KtZjnZsfZozZEC3LA1oOnBsG5AAfWM+dwQWkiMhu4BRjzNauCVe1ZIxh44GN3PjOjezx7yE9IZ0nJz/J6PTR2G32eIen1DFnT80ebn73ZtaVr8Pj8FB0UhHn5JxDoisx3qF1SPXHO9Mq39meHakKuGxJrkDyGQNLEk/J6rKHwABcddVVBwCWL1/uLSkpafYs+Hnz5vXJzc2tu/baa/cDPPbYYzv79u2bv2rVqoSCgoK6v/zlL+mzZ8/empmZGc7MzAxffvnlpXPnzs2YOnVqZVvzXnTRRVUAs2bNyujM7emSFrsxpgb4K/AzEfGJyGnAhcDzLaquAQZijZrPB74H7In+f3tXxKpiK6sr48fv/5g9/j2N729+92bK67r0+6eUAvxBP0/85wnWla8DoDZUy0MfPURFoCLOkXVM9cc70w4s3DI4UhVwAUSqAq4DC7cMrv54Z1pnrWPSpEm5SUlJ+bFekyZNym1r/rVr13pGjRrlb3ifnJwcGThwYH1xcXFCaWmpvbS01HnSSSc1Ts/Pz69dv359Qlvzdtb2xdJVLXaAG7AG3e3FGoD3Q2PMWhH5OvCmMSbRGBMCGrskRKQciBhjOrWbQnVcKBJiR1XzWwqU1ZURCAfiFFFzFfUVBMIBHDYHqQmp8Q4HsH58KwOVbDywkYFJA0l1p5LsbnlGSqmO84f8FJcWNyszGEqqSshOzI5TVB1X+c72bEKR5g3MUMRW+c727M5qtb/33nsbv8r8NTU1toyMjGbnHZOSksKVlZX2iooKG0B6enq4YVqfPn3CNTU19rbm/SoxtaWrzrFjjCk3xlxkjPEZYwYZY16Iln9gjInZd2SMed8Yc1xXxaha57Q5GZrSfJxkf19/3A53nCI6aHfNbu5Ycgdnzz+bG9+5ka0VW2nv44iPloiJsGrvKs599Vx++PYPueC1C3jx8xepDlTHNS7VO/icPk7pf0qzMpvYGJTcs64Oamipt7c8Hnw+X6RlIq6urrYlJyeHU1JSIgD79+9vnF5RUWHz+XzhtuY9mjF3WWJXPVu6J51fTfoVx/c5HoDByYP57Rm/JS2h03rMjsiBugPcufROPtr1ESET4tN9n3L9P66nrK4srnGV15Xz4EcPEjYHv7/PFD9DTbAmjlGp3sLj8HBD/g1MyJoAQKo7lce/8TjJrp7VI2RLcsXs8mut/EhMnDhxmNfrLYj1mjhx4rC25h89enTtunXrvA3vKysrbdu3b3fn5eXVRc+rB5ctW9Y4ffXq1d7hw4fXtTVvZ21fLF3ZFa96uCEpQ3j27GcJRoI4bU7SEtKIDnKMm0AkwKq9q5qV7arZRW3osLdAOOqMMezzNx9gGzbhbnPqQvV8md5MHp34KHWhOmxiI9WdisPes37Sk88YWHJg4ZbBzbrjHbZI8hkDSzprHUuXLt3QVp1gMEgwGJRwOCzhcFj8fr84nU7jdDq57LLLDjz00EPHzZ07t893v/vdiqKiogHDhw+vLSgoqAOYOnVq2YwZMwacfvrpNTt27HDOmzcv45lnntkKtDlvKBQiEAhIKBSSSCSC3+8Xu92O2+3+Sl2O2mJXHZLuSae/rz/pnvS4J3Wwuh+PS2p+tsbn9JFgP6pjU9rkdXg5d8i5zcqGJA/B4/TEKaKeIRQJUV5brj0b7ZTiTqGfrx+Z3swel9QBEk/JKu9zwZBtDS10W5Ir0OeCIdu6elR8UVFRls/nG/f000/3X7BgQZrP5xtXVFSUBZCVlRV6/vnnNz300EPZaWlpBStXrkx85ZVXNjfM+/jjj+/MycmpHzJkyNgzzzxzxI033rhn6tSple2Z9+mnn06PrmvQypUrE30+37jLLrts8FfdHon3ucjOUlhYaFasWHFE84YjYb1kq4cyxrBm3xq+/4/vUxWswm138+jERzkt67S4n/8vqy3jT+v+xJIdSxiZNpJbxt1Cf1//uMbUnZXXlTN//XwWbV3EkOQh/PhrPyY7MbtbHED2ZiKy0hhT+FWWUVxcvDUvL++Qa8DV0VNcXJyRl5eXE2tazzvE60TldeV8sOMDPt71MZMHTaawX2G3GVGt2kdEOCHtBBZctICaYA1ep5cUV0rckzpYvRs35t/I9FHT8Tg8eJ3etmc6RtWF6vjDmj8wd+1cAKf0/uwAABXkSURBVNbvX8+q0lW8fMHLZHg69RJfpXq9YzaxV9ZX8j8f/w+Lty0GYOHmhVwx8gpuKrhJf4B7GKfdSaY3k0y6322FXXYX6Z70eIfR7VUFqliwcUGzsr3+vRyoP6CJXakOOmbPsftD/sak3uDlL16mOqiXIynV1exip6+37yHlXoceZCvVUcdsYhcEmzTffLvYEfR8nlJdLc2Txn2n3IfT5mwsu/SES/E5fXGMSqme6Zjtivc6vXwn9zu8uuHVxrKrx1zd4+6zrFRvMTJtJG9e/CYbDmxggG8A6QnppLhT4h2Wap9IJBIRm83WO0Zjd3ORSESAVm9yc8wm9iRXEjePu5kzB53Jsj3LmJg9kdw+uXgcejlSj1RfDYEacCSAR5NBT+R2uOnn6Ec/RyI43NADL986hq0pLS0dlZmZWaHJ/egxxhAIBJw7d+5MBP7ZWr1j+puTlpDG6cedzunHnR7vUNRXUbULFt0PW96HrAI4/3Ho07NurakAfzlsfh8+eQn6jYHx10OSXh7YE4RCoe/t3r17zu7du8dwDJ/i7QIREakIh8NPRiKRZ1qrpNexq56tdj/MvxY2vXuwLD0XrnkTEg8djKW6qVAAPn4a3n7gYFnGcLj6Df07HmWdcR276l70yEr1bMG65kkdoGwjBP2x66vuqXY//LtFA2Tfeqg9EJ94lOrBNLGrnk1skNziMZVOD9jjf4MaAOoqoWo3+OP7UJpuTwRiDVx1dJuHfCnVY2hiVz2bLwMuesYabAVWoj9/VvcYQFe1C17/ITxZAC/+l9UCjUTiHVX35MuEs39uJfgGI84Hd1L8YlKqh9Jz7Kr9/GWwZy1sWAxDvwkD8q3EGm/BOqjbD5W7ILEfJKSAO86XLdYegFe/Bxv/cbAsaQB8f4kVozpUXRVU74GNb0O/UdB3pJXw1VGl59h7n2N6VLzqgIAf/vUU/HOW9f5fv4HCa+HMhyAhzs+AdiaAc4CVOLuLUD1sert5WdUuqK8BvVVCbAlJ1isjN96RKNWjaVe8ap/6Cvj4t83L/vNHCOgteGMSsUbnN+VwWwchSil1FGliD9ZCzT6rhaVaZwDT4vywiUAvOZXT6RL7wnd+B+5ob4bdCRf8GhL6xDcupVSvd2x3xVfthiW/4P+3d+/RcZXlHse/v9ybG6Vt2lIQCoWW0gIVKXrUAlIRiiBojy6gIniOgiicwwFcIIILoejBKx4uIooUqSiooCiXhUdwHfAGLUKlUsql1JZSeksvSdskTZ7zx94pk5C2CbazJ5PfZ61ZmXlnv3ueTCbz7P2+735fljwBY46Bd5/va2a3pbIWDjsLnvz+G2UTP5p9X3YhG3kwnPckbF6XDAKr2g0qvKiJ7URNK5JZF8urks+YBxsaAzmxN6+Cn54Or85NHr/+LKx+CU65CQb5rOpNKuvg6Eth3ymw4H7YfyqMmZokK+tZaXkyc5pnT7NdYe0/YNaJsHYxlJTCUV+AIz7t7y8bwIm9bdMbSb3TwgeScv9j9KxmGBx0Mhx4EpS4F8csM5s3wEOXJUkdoKMdHp0JB3/U3182gPvYS8reuPa5U9XgrtfRWs+c1M2ytWUTrJj/5vJ1S/IfixWcgfsNXVUPU3PmpZbghG9A9dDsYjIz643Kehg7rWtZaQUMHZNNPFZQBm5TfEUNTJoBY4+HVc8nq0kN2j3pFzUzK2TlVfDeC5IV8eb/AnbbCz50ffIdZgOeZ54zM+uvWpqgtTlpcaxpeEtdiZ55rvgM3DN2M7P+rrLWl5zamwzcPnYzM7Mi5MRuZmZWRPKW2CUNkXSvpGZJiyWdvo3tPi/pWUkbJC2S9Pl8xWhmZtbf5bOP/UagFRgBTALul/RMRHS/GFPAJ4B5wBjgYUlLIuKnOzugtvYOGptb2bylg6ryEobWVFJa4uvYzcys/8pLYpdUA0wHJkZEE/C4pPuAM4BLc7eNiK/lPHxe0q+A9wA7NbG3tXfw9D/WcvYdc2jc2MaI+kpuO+sIxu9RhzxJje0EG1u3sG5jGy+ubGLvIdXsXl1B/SBfTmlmu1a+muLHAlsiYmFO2TPAhO1VUpJhpwA9TLEEks6WNEfSnJUrV/YpoMbmVs6ZPZfGjW0AvL6+hc/d+RSrm1r7tB+znnR0BHMXNzLla49yxq1PcNTXf88df15MU0tb1qGZWZHLV2KvBdZ3K1sH7GgpoitJYrytpycj4paIODwiDm9oaOhTQC1bOljT3DWJL1rVTFtHxzZqWKFqbmnj1cZNPPLc67yyqpn1m7JPnqubW7n0F39jS8cb80R8+7cL2bB5S4ZRmdlAkK8+9iagvltZPbBhWxUknUfS1z4lInb6YumVZSWMrK9i+frNW8vG71FHRakvFOhP2to7eOyFVZz746e2Lg3/hWkH8vF37UNNZXbTNATR5bMFsKUjaN3iA8dtWbexjZdXNfHLp5dx8J71HD1uOMNqK3dccQBbuaGFja1bqCwrpa6qLNPPvBWOfGWxhUCZpANyyg5l203s/0bS9z41IpbuioCG1lZy2ycns++wGiBJ6t+d8Q6G+oukX2lsbuWL9z5L7gSK33w4+zPj6vJSPnjwHl3K9htWQ3VFaUYRFbb29g5++/flfPimP3L7H1/h4p/N45w75rK6aacf0xeNVxs38bHv/Ymjvv573nvtI8z+y+KCaK2y7OXl8C4imiXdA1wl6VMko+JPBt7dfVtJM4CvAO+LiJd3VUylJWL8HvXcfc6/0N7RQXlpiZN6L6xpaqWto4PSEhXE2VQAjRu7dqm0tnfQ1p7tmXFtVTlfOukgRtRX8siCFUwYVc8l08bTUFeVaVyFas3GNq773QtdyuYubmT95i3+v+xB0+Y2rnng7yxa1QwkrUFffWAB0ybu4QGaltfL3T4L/BBYAawGzo2I+ZKmAA9GROe8iDOBocCTOaPTZ0fEZ3ZFUA11/tLorcWrmzn/J39l3tJ1jN+jjutPO4wxDTWZXkUwqLyU4yaM5MFnl28tmzCqviDOjIfVVnLxB8Zx9pFjqK4odTPpDhTJshV5samtg/nLug9bglcbN7L3kOoMIrJCkrcO5YhYExGnRERNROwdEXem5Y/lJHUiYt+IKI+I2pzbLknq1nurm1o45465zFu6DoDnXtvAJ2c9waqMryKoH1TO1SdP5Jwj92PciDpOnfw2bj1zcsGc5VWWl9JQV+mkvgNDqss5/5j9u5S9fe/B1Ff5fetJXVUZ7xs3vEtZeakYnXYt2sDm/xrrlZYtHSxY3nWs45I1m2hpa88oojcMq6vkwg+M5ewj96O6ooxBBXC2bn1TWlrC8RNHMmZ4Lfc8tZRD9hrMseNHFMwBWqGpKi/lc+/bn9VNLTzw7HJG1ldx7fSDGexmeMOJ3XqpvLSEvXYfxNLGTVvLhtZUUFFeGFcRVJaVUlnrhN6fDa6uYPLoIUwePSTrUPqFhrpKvvKRg7nipIMQYmhNBSWeOdPwIjDWS0NrKrjx9MMYUlMBQP2gMm6ccRi7V1dkHJnZwFVXVc7wuioa6iqd1G0rn7Fbr5SUiAmj6nnoP6ewqa2dQeWl7F5TTrmv+zczKyhO7NZrZaUlDK/35VpmZoXMp1tmZmZFxIndzMysiDixm5mZFREndjMzsyLixG5mZlZEnNjNzMyKiBO7mZlZEXFiNzMzKyJO7GZmZkXEid3MzKyIOLGbmZkVESd2MzOzIuLEbmZmVkSc2M3MzIqIE7uZmVkRcWI3MzMrIk7sZmZmRcSJ3czMrIg4sZuZmRURJ3YzM7Mi4sRuZmZWRJzYzczMiogTu5mZWRFxYjczMysiTuxmZmZFJG+JXdIQSfdKapa0WNLp29hOkq6VtDq9XStJ+YrTzMysPyvL42vdCLQCI4BJwP2SnomI+d22Oxs4BTgUCOC3wCLg5jzGamZm1i/l5YxdUg0wHbgiIpoi4nHgPuCMHjY/E/hmRCyNiFeBbwJn5SNOMzOz/i5fZ+xjgS0RsTCn7BngqB62nZA+l7vdhJ52KulskjN8gCZJz7/F+IYBq95i3V2pUOOCwo3NcfWN4+qbYoxrn50ZiGUvX4m9FljfrWwdULeNbdd1265WkiIicjeMiFuAW/7Z4CTNiYjD/9n97GyFGhcUbmyOq28cV984LusP8jV4rgmo71ZWD2zoxbb1QFP3pG5mZmZvlq/EvhAok3RATtmhQPeBc6Rlh/ZiOzMzM+smL4k9IpqBe4CrJNVIeg9wMnBHD5v/CLhQ0p6SRgEXAbN2cYj/dHP+LlKocUHhxua4+sZx9Y3jsoKnfLVwSxoC/BA4FlgNXBoRd0qaAjwYEbXpdgKuBT6VVv0BcImb4s3MzHYsb4ndzMzMdj1PKWtmZlZEnNjNzMyKyIBO7JIqJd2azl2/QdLTkqZlHReApNmSXpO0XtJCSZ/aca38kHSApM2SZmcdSydJv09jakpvb3Wyop1O0qmSnkvXSXgpHVeSZTxN3W7tkq7PMqZOkkZLekBSo6Tlkm6QlM+pr7cV13hJj0haJ+lFSR/OKI7zJM2R1CJpVrfnpkpaIGmjpEcleeKZAWpAJ3aSCXqWkMyAtxtwOXC3pNEZxtTpq8DoiKgHPgTMlPSOjGPqdCPwZNZB9OC8iKhNb+OyDgZA0rEkg0E/STIh05HAy1nGlPMe1QIjgU3Az7KMKcdNwApgD5I1JY4CPptlQOmBxa+A3wBDSGa7nC1pbAbhLANmkgxE3krSMJIrj64giXEOcFfeo7OCMKATe0Q0R8SVEfFKRHRExG9IFpzJPIFGxPyIaOl8mN7GZBgSkJx9AmuB32UdSz/xZeCqiPhz+hl7NV0DoVBMJ0mkj2UdSGpf4O6I2BwRy4GH2MaU0nl0IDAK+HZEtEfEI8Af6Hmti10qIu6JiF+SXFmU6yPA/Ij4WURsBq4EDpV0YL5jtOwN6MTenaQRJPPaF8SEOJJukrQRWAC8BjyQcTz1wFXAhVnGsR1flbRK0h8kHZ11MJJKgcOBhrT5dmnatDwo69hynAn8qIAuJ70OOFVStaQ9gWkkyb3QCJiYdRA5uqyxkc4d8hLZHxRZBpzYU5LKgR8Dt0fEgqzjAYiIz5I0304haWZr2X6NXe5q4NaIWJpxHD25BNgP2JNkso5fS8q6hWMEUA78K8nfcBLwdpIun8ylfbBHAbdnHUuO/yNJRuuBpSRNyr/MNCJ4nqRV4/OSyiV9gOR9q842rC66r7EB216Pw4qcEzsgqYRkFrxW4LyMw+kibfp7HNgLODerOCRNAt4PfDurGLYnIv4SERsioiUibidpKj0h47A2pT+vj4jXImIV8C2yj6vTGcDjEbEo60Bg6//hQyQHsTUkK5btTjJGITMR0QacAnwQWE4yG+bdJAcehaIv63FYkRvwiT2d6e5WkrOr6ek/cSEqI9s+9qOB0cA/JC0HLgamS3oqw5i2J0iaS7MLIKKR5Ms/t5m7UJq8AT5BYZ2tDwH2Bm5ID9BWA7dRAAdCETEvIo6KiKERcRxJ69ATWceVo8saG5JqSL4vCqJb0fJrwCd24LvAeOCkiNi0o43zQdLw9BKpWkmlko4DTiPbAWu3kHxRTEpvNwP3A8dlGBMAkgZLOk5SlaQySTNIRp8XQt/sbcD56d90d+C/SEZXZ0rSu0m6LQplNDxpi8Yi4Nz07ziYZAzAvGwjA0mHpJ+vakkXk4zan5VBHGWSqoBSoLTzMw/cC0yUND19/kvAvELpVrT8GtCJPe1jPIckUS3Pua53RsahBUmz+1KgEfgGcEFE3JdZQBEbI2J5542k6W9zRKzMKqYc5SSXAK0EVgHnA6dExMJMo0pcTXJp4ELgOeCvwDWZRpQ4E7gnIgqtqfYjwPEkf8sXgTaSg6GsnUEygHUFMBU4NueqlXy6nKSL51Lg4+n9y9P/w+kkn61G4J3AqRnEZwXAc8WbmZkVkQF9xm5mZlZsnNjNzMyKiBO7mZlZEXFiNzMzKyJO7GZmZkXEid3MzKyIOLHbgCbpFUnvz/D1z5X0ejp/wtAenr9Z0hVZxGZm/VNZ1gGYDVTpwkPfAt4VEc/0tE1EfCa/UZlZf+czdrOdIJ3Ws69GAFV4Pm8z24mc2K0gpU3kF0uaJ2mdpLvSebHPkvR4t21D0v7p/VnpOvYPps3bf5A0UtJ1kholLZD09m4vN1nS39Pnb0vn2u7c94mSnpa0VtIfJR3SLcZLJM0DmntK7pIq09delt6uS8vGkiwHCrBW0iPbeB9mSZqZ3h8m6TdpLGskPZauiEYax6uSNkh6XtLU7vXTx0dLWprzeJSkX0haKWmRpP/Iee4ISXMkrU+7C761/b+amRUCJ3YrZB8jmTd8X+AQ4Kw+1LucZNnPFuBPwFPp45+TNH/nmkGymM0YYGxal/QA4Ick6wkMBb4H3CepMqfuaSTLeQ6OiC09xPJF4F0k6xEcChxBMrf3QpJ1x0nrHtOL3+sikvUDGkjO9i8DQtI4kuWGJ0dEXfq7vLKjnaUHBb8GniFZEGYqcEG66BDAd4DvREQ9yXtzdy9iNLOMObFbIfufiFgWEWtIEtCkXta7NyLmRsRmklWvNkfEjyKiHbgL6H7GfkNELElf5xqSZA1wNvC9dK339nSd9xaSRJ0b45LtrAw4A7gqIlakC3V8mWRBkbeijWRVsX0ioi0iHotksYd2oBI4SFJ5RLwSES/1Yn+TgYaIuCoiWiPiZeD7vLF4SBuwv6RhEdEUEX9+i3GbWR45sVshW55zfyNQ28t6r+fc39TD4+77WZJzfzEwKr2/D3BR2vS9VtJa4G05z3epK2lGzgqBD6bFo9J99rT/LiRdllP/5h42+TrJimcPS3pZ0qUAEfEicAFwJbBC0k8l9fga3ewDjOr2+11G0hoA8O8kLRgLJD0p6cRe7NPMMubEbv1NM1Dd+UDSyJ2wz7fl3N8bWJbeXwJcExGDc27VEfGTnO23Lo8YET+OiNr0Ni0tXkaSQHvafxcR8ZWc+m8aDR8RGyLioojYD/gQcGFnX3pE3BkR701fK4Br02pd3i8g9/1aAizq9vvVRcQJ6T5fiIjTgOHp/n4uqaan2M2scDixW3/zDDBB0qR0kNuVO2Gfn5O0l6QhJH3id6Xl3wc+I+mdStRI+qCkuj7s+yfA5ZIaJA0DvgTMfitBpgP59pckYB1JE3yHpHGSjkn7/jeTtEp0pNWeBk6QNCQ9CLogZ5dPABvSgXeDJJVKmihpcvp6H5fUEBEdwNq0TgdmVtCc2K1fSQedXQX8L/AC8Pj2a/TKncDDwMvAS8DM9LXmAJ8GbgAaSZrBz+rjvmcCc4B5wN9IBvHN3G6NbTuA5PduIhkQeFNEPErSv/7fwCqS7ovhwBfSOneQHAy9QvI7dh60kI45OJFk7MKitP4PgN3STY4H5ktqIhlId+p2xhKYWYFQMvbGzMzMioHP2M3MzIqIE7uZmVkRcWI3MzMrIk7sZmZmRcSJ3czMrIg4sZuZmRURJ3YzM7Mi4sRuZmZWRP4fQIdfom1TxzsAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_issues(adf_8_1p1v, \n",
+ " '1p1v avg. wellfare loss vs n issues, just Prop8', \n",
+ " hue='n-voters',\n",
+ " ylim=(0, 1.1),\n",
+ " WL_col = \"Prop8-WL\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 379,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "### all but prop8 issue\n",
+ "plot_WL_vs_n_issues(adf_8_1p1v, \n",
+ " '1p1v wellfare loss vs n_issues - all but prop8 issue', \n",
+ " hue='n-voters',\n",
+ " ylim=(0,1.1),\n",
+ " WL_col = \"all-but-pop8-WL\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## QV Wellfare loss"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 380,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### WL vs Number of Voters"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "#### Avg WL of all issues"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 381,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_8_qv, \n",
+ " 'QV avg. wellfare loss vs n_voters - 1 prop8 calibration and rest normal $\\mu=0$', \n",
+ " hue='num_issues',\n",
+ " ylim=(0,1))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### WL of Just Prop8 and all but. \n",
+ "\n",
+ "This shows a surprising behvaior for issues above 6: WL increases with number of voters up to around 1000 voters and then decreases again. Why?"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 382,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_8_qv, \n",
+ " 'QV wellfare loss vs n_voters - just prop8 issue', \n",
+ " hue='num_issues',\n",
+ " ylim=(0,1),\n",
+ " WL_col = \"Prop8-WL\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 385,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_8_qv, \n",
+ " '1p1v wellfare loss vs n_issues - all but prop8 issue', \n",
+ " hue='num_issues',\n",
+ " ylim=(0,0.25),\n",
+ " WL_col = \"all-but-pop8-WL\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Wellfare vs number of issues"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "#### Avg of all issues"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 386,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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zWIlfKaWUUmGKZktdKaWU6nO+//3v51588cUjYh0HaFJXSimlYqqlJXJ9DDWpK6WU6rPy8vJOvPvuuweNGTNmQmpqavGFF1440uVyHdOr70c/+tHg884776iHj11zzTVDr7766qEA27dvj58+fXpBenp68bBhwwp/9atfZQO8+OKLab/97W8Hv/rqqxnJycklY8eOnQBw4MCBuK997WvDc3JyJg0cOHDSd77znVyPx3qW0m9+85us0tLScdddd93QAQMGFN96662569evTzj55JPHpqamFmdkZBRdeOGFXXoQWtTOqSullFKx8PLLL2e++eabm5OSknynnXbauEceeST79ttvr25dZ+7cuQcffPDBITU1NbaMjAyfx+Nh+fLlGc8999xWgFmzZo0cN25c4/LlyyvXrVuXeOGFF44ZPXp086xZs+o++OCDPVu3bk1YtmzZtsD0vv71r+fn5OR4tm7duv7w4cO28847b/RDDz3kvu222/YDfPTRR86ZM2cerK6uXtfc3Czf+MY38qdPn1774Ycfftbc3CzvvfeesyvLqi11pZRSfdqNN964Nz8/v2XQoEHec889t3bdunVJwXXGjBnjnjBhgmvx4sUZAH/+85/TEhMTfWeffXbDli1b4teuXZvy29/+9svk5GQzZcqUxjlz5ux/+umns0LNb+fOnfZ33303/YknnvgiLS3Nl5eX5/n2t7+998UXX8wM1MnJyXH/6Ec/2hcfH09KSoqx2+3miy++SNi+fXt8cnKymTFjRpfu0aJJXSmlVJ+Wm5t75KR1cnKyr6GhIW7q1Kmjk5OTS5KTk0sef/zxTIDZs2cfXLp0aSbA4sWLM//rv/7rIMAXX3zhSEtL82RkZPgC0xk+fLh79+7d8aHmt2XLFofH45EhQ4YUpaamFqemphbfeuutww8cOHCk/pAhQ446kf7rX//6S2MMp5122viCgoKJDz/8cMgdho7o4XellFL9zsqVKzcHl1111VU199xzz9CtW7fGv/HGGwPefffdTwGGDRvmrqurswcOzYOV6AOJWUSOuj3uyJEjWxwOhzl48OC6+PiQef+YcYYNG+Z57rnndgC88cYbKRdddNGYc845p76wsLC5M8ulLXWllFIKyM3N9UyePPnwlVdemX/CCSe4S0tLmwAKCgpaiouL67/73e+e4HK55J///GfSs88+m33llVceABg0aJDnyy+/dHi9XgCGDx/ecvrpp9fecMMNQw8ePGjzer1s2LAh4dVXX01pa95PPfVUxtatW+MBsrKyPCJCV+6lr0ldKaWU8rvssssO/OMf/0ibNWvWgdblS5cu/Xznzp2OIUOGFM2aNWtUeXn5rksuueQwwFVXXXUQICMjo3jChAnj/fW3u91uGT9+fOGAAQOKZ82aNaqqqip0sx1YtWqV87TTThufnJxccumllxb87Gc/+2LChAnuzsYvxvSNh+roo1eVUqrzRGSNMaasO9OorKzcXlRUtD9SMamOVVZWZhcVFeUHl2tLXSmllOojNKkrpZRSfYQmdaWUUqqP0KSulFJK9RGa1JVSSqk+QpO6Ukop1UdoUldKKaX6CE3qSimlVB+hSV0ppZTqIzSpK6WU6tfmzZuXU1hYON7hcJTOnDkzv/WwpqYmOe+880bm5eWdKCInLV++PDVGYYZFk7pSSql+LS8vr6W8vHz37NmzQ97qdsqUKfVPPfXUtuzs7JZQw3uTqD16VUQygSeBc4H9wJ3GmCVt1C0FHgZKgQZgnjHm19GKVSmlVM/7vw93ZP7mrc151YebHTmpCe7vnD266opThx+Mdhxz5849BLB69erkqqoqR+thiYmJ5u67794HYLP1/nZwNJ+n/ijgBgYBxcCrIlJpjNnQupKIZAOvA98DXgQcwAlRjFMppVQP+78Pd2Tet3zj8GaPzwaw73Cz477lG4cDRDKxT5s2raCioiLkI0/LysrqV6xYsSVS8+oNopLURcQJzAQKjTH1wN9F5E/AlcAdQdW/D7xhjFnsf98MfBKNOJVSSkXHb97anBdI6AHNHp/tN29tzotkUu9rSbsj0TqWMAbwGGM2tSqrBCaGqHsqcFBEPhCRfSLyZxEZFmqiInKDiFSISEV1dXUPhK2UUqonVB9udnSmXIUnWkk9BagLKqsFQvUiPAGYC3wXGAZsA54NNVFjzBPGmDJjTFlOTk4Ew1VKKdWTclIT3J0p76qpU6eOTk5OLgn1mjp16uhIzqs3iNY59XogLagsDTgcom4j8LIxZjWAiNwL7BeRdGNMbc+GqZRSKhq+c/boqtbn1AES7Dbfd84eXRXJ+axcuXJzR3VaWlpoaWkRr9crXq9XXC6XxMfHm/j4eAAaGxvFGAOA2+0Wl8sliYmJpjd2nItWUt8E2EVktDEm8AEXARtC1P0IMK3emxB1lFJKHccC5817Q+/38vLy3IceemhI4L3T6cz83ve+t/vBBx/cBVBQUFC4a9cuB8DMmTNHA3z66acfjx07NqJHFSLhyN5Hj89I5DmsBH09Vu/3vwBTQvR+nw78EZiGlfR/AZQZY85ob/plZWWmoqKiJ0JXSqk+S0TWGGPKujONysrK7UVFRSGv8VY9o7KyMruoqCg/uDyaxw5uApKAfVjnyG80xmwQkTNEpD5QyRjzNvBD4FV/3QJgThTjVEoppY5LUbtO3RhzELgkRPl7WB3pWpc9DjwepdCUUkqpPiGaN5/pdXzNHnxNXozbiy3Rjs0Zj9gk1mEppZRSXdJvk7qvyYNrzV4Ovfo5+MDmjCfnvycRPzA51qEppZRSXdL7+uNHia/Zy6HlVkIH8DW0UPPHzXgbev39+pVSSqmQ+m9Sb/Qcc7Fcyz4XeH2xCUgppZTqpn6b1OOS45GEuKPKEsdlHlOmlFJKHS/6bVK3Oe3k3DCJ+FwnEm8jqSiHAReMwJbQb7sZKKWUOs712wwmcTYceSlkX1sIBiTehi2x334cSiml+oB+21IPiEtxEJfq0ISulFL91OTJk8cmJCSUBh70kp+fXxgYtmPHjvjp06cXDBw4cJKInPTZZ5/16qfI9fukrpRSSt1///1fuFyutS6Xa+327dvXB8ptNps599xza5csWbI1lvGFS5unSimlYmP1k5m8+/M86vc5SBno5szyKk6+LuoPdGnP0KFDPXfccUd1S8vxcbmzttSVUkpF3+onM3njzuHU73WAgfq9Dt64czirn8yM5GymTZtWkJqaWhzqNW3atIJAvfvuuy8vIyOjqLS0dNzy5ctTIxlDNGlLXSmlVPS9+/M8PM1HNyw9zTbe/XleJFvrK1as2NJRnfnz539ZUlLSmJiYaBYuXJh52WWXFaxatWrjxIkTmyMVR7RoS10ppVT01e8L3eGsrfIeNH369IaMjAxfUlKSueWWWw6UlpbWv/LKK+nRjiMS+nVLvam+nsb6Og4f2E/mkDwSU9Owx8fHOiyllOr7Uga6rUPvIcojaOrUqaMrKipSQg0rKyurX7ly5ebgchHBGBNqlF6v3yb1poZ6/vnKUir+/BIA9ngHX7vnfoYUjI1xZEop1Q+cWV7FG3cOP+oQvD3Bx5nlVZGcTaik3dr+/fvj3n33Xef5559/OD4+3ixcuDBz9erVKY888sgXgToul0s8Ho8ANDU1icvlkuTk5F6Z9fvt4Xd3Y+ORhA7gaXHzt4WP4aqtjWFUSinVT5x83UFm3L+DlEFuEEgZ5GbG/Tui3fvd7XbLT37yk7ycnJzizMzM4gULFgxcsmTJ1kmTJh05n+50OkvT09NLAIqLiwudTmdpNGPsjH7bUnc3uo4pO7y/Gp/PG4NolFKqHzr5uoOxvoQtNzfXs379+k/aq2OMWROteLqr37bUk1LTcA7IOKps3OlnkeB0xigipZRSqnv6bVJPTkvnsnt/zsiTJpMxJJfJl8zm1P/6GvGOhFiHppRSSnVJvz38LjYbGYNzueDbt+Jxu0lwpmjPd6WUUse1fpvUAxKSnSQk6yF3pZRSx7+oHX4XkUwReVlEGkRkh4jMaaPePSLSIiL1rV4joxWnUkopdbyKZkv9UcANDAKKgVdFpNIYsyFE3eeNMVdEMTallFLquBeVlrqIOIGZwF3GmHpjzN+BPwFXRmP+SimlVH8QrcPvYwCPMWZTq7JKYGIb9f9TRA6KyAYRubGtiYrIDSJSISIV1dXVkYxXKaWUOu5EK6mnAHVBZbVAqMfbLQXGAznAN4G7ReQboSZqjHnCGFNmjCnLycmJZLxKKaXUcSdaSb0eSAsqSwMOB1c0xmw0xuwyxniNMR8AvwZmRSFGpZRS/dC8efNyCgsLxzscjtKZM2fmBw9ftmxZ6ogRIyYmJSWVnHLKKWM2bdp05EE0CxcuzCgpKRmXlJRUMnny5Jg/PCRaSX0TYBeR0a3KioBQneSCGUB6JCqllFL9Xl5eXkt5efnu2bNn7w8etnv3bvsVV1wx6q677tp14MCBdcXFxa7Zs2cfuSIrOzvbc/PNN++9+eab90Q36tCiktSNMQ3AS8BPRcQpIqcDFwPPBNcVkYtFJEMsk4HvAMuiEadSSqnoef6z5zOnLZ124qSnJ500bem0E5//7PnMWMQxd+7cQ1deeeWhrKwsT/CwxYsXDygoKGi69tpra5KTk80DDzyw67PPPkteu3ZtIsAll1xy+Prrr6/Jzc1tiX7kx4rmbWJvApKAfcCzwI3GmA0icoaI1Leq93VgC9ah+T8APzfGPB3FOJVSSvWw5z97PvMXq38xfH/jfofBsL9xv+MXq38xPNKJfdq0aQWpqanFoV7Tpk0r6Gj8DRs2JE2YMOHIE8DS0tJ8Q4cOba6srEyMZJyRErXr1I0xB4FLQpS/h9WRLvA+ZKc4pZRSfceCygV5bq/7qIal2+u2LahckHfZ2Msi9uS2FStWbOnO+A0NDbbs7OyjWvCpqaneurq6uO5F1jP67QNdlFJKxc6BxgOOzpTHitPp9AUn8Pr6eltaWlqvfE63JnWllFJRl5WU5e5MeVdNnTp1dHJyckmo19SpU0d3NP7EiRMbN27cmBx4X1dXZ9u5c2dCUVFRUyTjjBRN6koppaLuW0XfqnLEOXytyxxxDt+3ir5VFcn5rFy5crPL5Vob6rVy5crNAC0tLbhcLvF6veL1esXlcklLi9Xvbc6cOYc2b96cuGjRogEul0vKy8uHjBkzprGkpKQJwOPx4HK5xOPxiM/nw+VySXNzc8yu2NKkrpRSKuouG3vZwdtPvn1HdlK2WxCyk7Ldt598+45Ink8PV3l5ea7T6Sx97LHHBi9btizT6XSWlpeX5wLk5uZ6nnnmma333ntvXmZmZsmaNWtSli5d+nlg3MceeyzLX3/YmjVrUpxOZ+mcOXOGR3sZAsQYE6t5R1RZWZmpqKiIdRhKKXVcEZE1xpiy7kyjsrJye1FR0THXeKueU1lZmV1UVJQfXK4tdaWUUqqP0KSulFJK9RGa1JVSSqk+QpO6Ukop1UdoUldKKaX6CE3qSimlVB+hSV0ppZTqIzSpK6WUUn2EJnWllFKqj+h2UhcR3TFQSil13Jo8efLYhISE0sCDXvLz8wtbD1+wYEFmbm7uiUlJSSXnnHPOqL179x55atu8efNyCgsLxzscjtKZM2fmRz34IN1KyCKSALREKBallFIqJu6///4vAg962b59+/pAeUVFReKtt946/Mknn9y2Z8+eyqSkJN9111135N7ueXl5LeXl5btnz57dK26Ta4/ANGL2NBqllFLHr4PPPpd54LHH8jz79zvs2dnurJtuqsr8xtej/kCX9ixatChr+vTph84///x6gPnz5+8qLi6eWFNTY8vIyPDNnTv3EMDq1auTq6qqYv4s+EgcOu8bT4RRSikVNQeffS5z3/z5wz3V1Q6MwVNd7dg3f/7wg88+lxnJ+UybNq0gNTW1ONRr2rRpBYF69913X15GRkZRaWnpuOXLl6cGyj/55JPESZMmNQbeT5w4sTk+Pt6sX78+MZJxRkokWupKKaVUpxx47LE809x8VMPSNDfbDjz2WF4kW+srVqzY0lGd+fPnf1lSUtKYmJhoFi5cmHnZZZcVrFq1auPEiRObXS5XXHp6urd1/ZSUFG9tbW1cW9OLpQ6Tuoi8R9vBehFoAAAgAElEQVStce0kp5RSqtM8+/eHPFTdVnlPmj59ekPg/1tuueXA0qVLM1955ZX0iRMn7ktOTvbW1dUdlesaGhqOSfS9RTgt9YUdDP99JAJRSinVf9izs92e6upjErg9O9sdyflMnTp1dEVFRUqoYWVlZfUrV67cHFwuIhhjtWXHjx/f9NFHHyUHhm3cuNHhdrulsLCwKZJxRko4Sf0ZY4yvuzMSkUzgSeBcYD9wpzFmSTv1HUAlkGqMOaG781dKKdV7ZN10U9W++fOHtz4ELwkJvqybbqqK5HxCJe3W9u/fH/fuu+86zz///MPx8fFm4cKFmatXr0555JFHvgC4+uqrD5x11lnjX3/99ZQpU6a47rzzzrwZM2YcysjI8AG0tLTQ0tIiXq9XvF6vuFwuiY+PN/Hx8ZFcjLCFk9QPicgHwErgXWCVMaYrl7E9CriBQUAx8KqIVBpjNrRR/zagGkhtY3i3uerc7PzkIPt21DHm5EGkD0wm0RmbL0IppfqTwHnzWPd+d7vd8pOf/CTvqquuSrTZbGbkyJFNS5Ys2Tpp0qRmgLKysqZf/vKXO6655poRhw4dsk+ZMqVuyZIl2wPjl5eX5z700ENDAu+dTmfm9773vd0PPvjgrmguR4AEDjG0WUHkdOAM/+t0IB5YhZXkVwIfGGMa254CiIgTqAEKjTGb/GXPAFXGmDtC1B8B/AX4PvD7cFrqZWVlpqKioqNqRzQedvPa7z5m95baI2Vnzx3PmMmDsMVpVwGlVP8gImuMMWXdmUZlZeX2oqKiXnGddn9RWVmZXVRUlB9c3mH2Msa8b4yZb4y5EMjASuwvAxOA57CSdUfGAJ5AQg/EBExso/5vgR8C7e4sdEdzo+eohA6wavk2Guv1XjpKKaWOT51tkqYDQ4FhQOCOOm+FMV4KUBdUVkuIQ+sicikQZ4x5uaOJisgNIlIhIhXV1dVhhNFKqAMURu+ko5RS6vgVziVts4Gp/lcG8D7wd+APwMemo+P3lnogLagsDTgcNC8n8AvggjCmiTHmCeAJsA6/hzNOQEKynUEj0ti77d/7Giedn09Cip5TV0opdXwKp6Pc88AnwM+B540xzV2YzybALiKjjTGBnohFQHAnudFAPvCeiAA4gHQR2QOcaozZ3oV5h5SU6uCCGyexrbKavdvrGHfqEDJzncTp+XSllFLHqXCS+lewWumXAb8Qkc3Ae/7X+8aY4MPqxzDGNIjIS8BPReR6rN7vFwNTgqquxzq8HzAFeAQoxeoJH1HJaQ4mnpHHxDPyIj1ppZRSKurC6Sj3QauOckOAW4A9wDXAJhFZG+a8bgKSgH3As8CNxpgNInKGiNT75+UxxuwJvICDgM//vlfevUcppZTqLTp77/dAR7mhWIfJs4Cwkq0x5iBwSYjy97A60oUa5x1AbzyjlFJKhaGzHeUmAl9gHXr/HbCy1TlypZRSSsVQOC31+7BuMvMAVhL/omdDUkoppVRXhHNOfZwx5gZjzP9pQldKKdXXzJs3L6ewsHC8w+EonTlzZn7w8GXLlqWOGDFiYlJSUskpp5wyZtOmTUceRNPY2CizZ8/OT0lJKcnOzi665557BgWGNTU1yXnnnTcyLy/vRBE5qfVz2ntKl67fEpEOe7wrpZRSx4O8vLyW8vLy3bNnzz7mVre7d++2X3HFFaPuuuuuXQcOHFhXXFzsmj179sjA8B/84Ae5n3/+ecK2bds+evPNNz975JFHBr/44otH7ssyZcqU+qeeempbdnZ2VG5X2tmOcgF64zWllFLd8vG7X2ZW/GV7nqvW7UhOd7jLLsivOvHME6L6QBeAuXPnHgJYvXp1clVV1VGPg128ePGAgoKCpmuvvbYG4IEHHtg1cODA4rVr1yaWlJQ0vfDCC1kLFizYnpOT483JyfFefvnl1YsWLcqeNWtWXWJiorn77rv3Adhs0bkHSleTulJKKdVlH7/7Zeb7L2wZ7vX4bACuWrfj/Re2DAeIZGKfNm1aQXvPU1+xYsWW9sbfsGFD0oQJE1yB92lpab6hQ4c2V1ZWJp5wwgkt1dXV8SeffPKR4cXFxY2vvfbagEjF31ldTeoTIhqFUkqpfqXiL9vzAgk9wOvx2Sr+sj0vkkm9o6TdkYaGBlt2drandVlqaqq3rq4urra21gaQlZV15NLuAQMGeBsaGuK6M8/u6FRSF5F0YCyQIiKjA+XGmLcjHZhSSqm+y1XrdnSmPFacTqevrq7uqCRdX19vS0tL86anp/sAampq4pKTkz0AtbW1NqfTGbObpYWd1EXkauBRrIezuFoNMsDIUOMopZRSoSSnO9yhEnhyusMdyflMnTp1dHuH31euXNnuvVYmTpzYuGTJkuzA+7q6OtvOnTsTioqKmvzn0VtWrVqVfOmll9YBrFu3LnnMmDFNkVyGzujMmfv/AWYZYwYZY0a0emlCV0op1SllF+RXxdltvtZlcXabr+yC/KpIzmflypWbXS7X2lCvQEJvaWnB5XKJ1+sVr9crLpdLWlqszupz5sw5tHnz5sRFixYNcLlcUl5ePmTMmDGNJSUlTQCzZs06MG/evCHV1dVxa9euTVy8eHH21VdffaQXfWNjo7hcLgFwu93icrnE5/OFiDQyOpPU7cCbPRWIUkqp/uPEM084ePrsgh2BlnlyusN9+uyCHbHo/V5eXp7rdDpLH3vsscHLli3LdDqdpeXl5bkAubm5nmeeeWbrvffem5eZmVmyZs2alKVLl34eGPdXv/rVrvz8/OYRI0ZMOuecc8befPPNe2fNmnXksu+CgoJCp9NZum/fvviZM2eOdjqdpZs3b+6xUwwS3uPQQUS+D6QC9xljem43o4vKyspMRUVFrMNQSqnjioisMcaUdWcalZWV24uKio65xlv1nMrKyuyioqL84PLOdJT7HjAYuF1EDrQeYIwZ1r3wlFJKKdVdnUnqV/RYFEoppZTqtrCTujHm3Z4MRCmllFLd09nr1IuBM4BsWt0q1hhzd4TjUkoppVQnhd37XURuAN4HpgPlwInArUBBz4SmlFJKqc7ozCVttwPnGWMuBRr9f2cBUXnyjFJKKaXa15mkPtAY857/f5+I2IwxrwH/2QNxRY2vqQlPTQ3GG7O7+imllFIR0Zlz6l+KSL4xZjuwCbhYRPYDEb2lXzS17N5N9SOP0Lx5C2kXXkj6Rf+JPSMj1mEppZRSXdKZpP4LYDywHfgp8CLgAL4T+bB6nmf/fnZccQUtVbsAaProI7wHD5J9043YEhJiHJ1SSinVeWEffjfGLPIfbsf/NwPIMMY8Hs74IpIpIi+LSIOI7BCROW3U+56IfC4idSKyS0QeEpGIP/fdW1t7JKEHHHrhBbx1dW2MoZRSqi+aPHny2ISEhNLk5OSS5OTkkvz8/MLWwxcsWJCZm5t7YlJSUsk555wzau/evUee2rZ37964r371q6OSkpJKcnNzT1ywYEFmYNiOHTvip0+fXjBw4MBJInLSZ5991uNPoOvMOXVEJEtErhSR240xbiBNRE4Ic/RHsQ7VDwIuBx4XkYkh6v0JKDXGpAGFQBE9cDRAEhOPKbNnZyG2Tn0kSiml+oD777//i8CDXrZv374+UF5RUZF46623Dn/yySe37dmzpzIpKcl33XXXDQ8Mv/7664c5HA6zZ8+eyv/93//ddttttw2rqKhIBLDZbObcc8+tXbJkydZoLUdnHr16JvBHoAI4Hetw/GjgB3TQWU5EnMBMoNAYUw/8XUT+BFwJ3NG6rjGm9cIL4KMHLpuzpaSQPnMmtX/8o1VgtzPoxz/GnpUV6VkppZQKYd1f/5L54YvP5jUcqnE4B2S4T531jarir14Q9Qe6tGfRokVZ06dPP3T++efXA8yfP39XcXHxxJqaGltcXByvv/56xpo1azakp6f7ZsyYUX/22WfXPvXUU1llZWVVQ4cO9dxxxx3VgSe+RUNnmqUPA5cZY84DPP6yfwKTwxh3DOAxxmxqVVYJhGqpIyJzRKQO2I/VUv9dJ+IMiz09nYE/uJURL79E3sMPU/DmGySdeGKkZ6OUUiqEdX/9S+Y7T/9+eMOhGgdAw6EaxztP/374ur/+JbOjcTtj2rRpBampqcWhXtOmTTvSYLzvvvvyMjIyikpLS8ctX748NVD+ySefJE6aNKkx8H7ixInN8fHxZv369Ykff/xxgt1uN5MmTWoODJ80aZLr008/TYrkMnRGZ85V5xtj3vL/H3i0mzvMaaQAwSera7Ge+nYMY8wSYImIjAauAvaGque/Ic4NAMOGdf6ZMvaMDOwZGSSOH9/pcZVSSnXdhy8+m+dtaTmqYeltabF9+OKzeZFsra9YsWJLR3Xmz5//ZUlJSWNiYqJZuHBh5mWXXVawatWqjRMnTmx2uVxx6enpR13znJKS4q2trY2z2+3G6XQe9dTS9PR0b319fRwx0pmW+kYRmRFUdg7wcRjj1gNpQWVpwOH2RjLGbAY2AI+1MfwJY0yZMaYsJycnjDCUUkr1BoEWerjlPWn69OkNGRkZvqSkJHPLLbccKC0trX/llVfSAZKTk711dXVH5cqGhoa49PR0b2pqqrehoeGoYXV1dXEpKSkxu/FJZ1rqtwLLReRVIElEfgdc5H91ZBNgF5HR/kQN1mH1DWHGOKoTcSqllOrlnAMy3KESuHNARkTvfTJ16tTRFRUVKaGGlZWV1a9cuXJzcLmIYIx1QHr8+PFNH330UXJg2MaNGx1ut1sKCwub4uLi8Hg88vHHHyeceOKJzQAfffRR0rhx4xqDpxktnbmk7UNgElYifgr4HCgzxqwOY9wG4CXgpyLiFJHTgYuBZ4Lrisj1IjLQ//8E4E7greB6Simljl+nzvpGVVx8/FGHruPi432nzvpGVSTns3Llys2BXu3Br5UrV27ev39/3B//+Mc0l8slLS0tPP7445mrV69Oueiii2oBrr766gNvv/32gNdffz2lrq7Oduedd+bNmDHjUEZGhi8tLc03Y8aMQz/84Q9z6+rqbG+++abzb3/724Brr732QGD+LpdLGhsbbQBNTU3icrmkrVgjoTO939OB64BSrHPko4Gz/Xs054YxiZuwdgb2AQeAG40xG0TkDOA1Y0xgT+p04H9EJAWoBl4A7go3TqWUUr1f4Lx5rHu/u91u+clPfpJ31VVXJdpsNjNy5MimJUuWbA10fisrK2v65S9/ueOaa64ZcejQIfuUKVPqlixZsj0w/pNPPrnj8ssvzx80aFDRgAEDPA888MAXZWVlTYHhTqezNPB/cXFxIYAxZk1PLY8EDjF0WFHkTSAOeBk46tCCMebJyIfWOWVlZaaioiLWYSil1HFFRNYYY8q6M43KysrtRUVF+yMVk+pYZWVldlFRUX5weWfOqZ8KZPtvOqOUUkqpXqYzvd//DozrqUCUUkop1T2daalfDfxFRP5J0HXjxpifRjIopZRSSnVeZ5L6/wBDsZ7S1vqa8/BOyiullFKqR3UmqX8dGGOM2d1TwSillFKq6zpzTv1zIHp3pVdKKaVUp3Smpf4M8CcR+S3HnlN/O6JRKaWUUqrTOpPUb/b/nRdUboCRkQlHKaWUUl0VdlI3xozoyUCUUkop1T2dOaeulFJK9Tnz5s3LKSwsHO9wOEpnzpyZHzx82bJlqSNGjJiYlJRUcsopp4zZtGnTkQfRNDY2yuzZs/NTUlJKsrOzi+65555B4Y67cOHCjJKSknFJSUklkydPHhuJZdGkrpRSql/Ly8trKS8v3z179uxjbnW7e/du+xVXXDHqrrvu2nXgwIF1xcXFrtmzZx855fyDH/wg9/PPP0/Ytm3bR2+++eZnjzzyyOAXX3wxLZxxs7OzPTfffPPem2++eU+klqUz59SVUkqpiKn/cFdm3Vs783yH3Q5bqsOddvbQqpRTc6P6QBeAuXPnHgJYvXp1clVV1VGPg128ePGAgoKCpmuvvbYG4IEHHtg1cODA4rVr1yaWlJQ0vfDCC1kLFizYnpOT483JyfFefvnl1YsWLcqeNWtWXUfjXnLJJYcBHnzwwexILYu21FXY3HUu3PsbaNi8n5YaF+6Gpo5HUkqpEOo/3JV5aPm24b7DbgeA77DbcWj5tuH1H+7KjOR8pk2bVpCamloc6jVt2rSCjsbfsGFD0oQJE1yB92lpab6hQ4c2V1ZWJlZXV8dVV1fHn3zyyUeGFxcXN27atCmxo3EjuYytaUtdhcVd34jrX/uof2Ondb2DXci8ahxxo+KJi4uLdXhKqeNM3Vs78/D4jm5Yeny2urd25kWytb5ixYot3Rm/oaHBlp2d7Wldlpqa6q2rq4urra21AWRlZXkDwwYMGOBtaGiI62jc7sTUHm2pq7BIi6H+r1/++6bAHkPtK9vw1jXHNC6l1PEp0EIPtzxWnE6nLzgJ19fX29LS0rzp6ek+gJqamiPDa2trbU6n09vRuD0VryZ1FRbjMeA9+jb/3kNNiEiMIlJKHc9sqY6Qj/Fuq7yrpk6dOjo5Obkk1Gvq1KmjOxp/4sSJjRs3bkwOvK+rq7Pt3LkzoaioqMl/Hr1l1apVR4avW7cuecyYMU0djRvJZWxNk7oKi9iFuMyjTwMljs8EuyZ1pVTnpZ09tAq7zXdUod3mSzt7aFUk57Ny5crNLpdrbajXypUrNwO0tLTgcrnE6/WK1+sVl8slLS3WXdHnzJlzaPPmzYmLFi0a4HK5pLy8fMiYMWMaS0pKmgBmzZp1YN68eUOqq6vj1q5dm7h48eLsq6++en8443o8Hlwul3g8HvH5fLhcLmlubu7Wj6omdRWW+Ixksq+bSML4DOIGJJB08kDSLxpFfEqP9fdQSvVhKafmHhzwHyN2BFrmtlSHe8B/jNgRi97v5eXluU6ns/Sxxx4bvGzZskyn01laXl6eC5Cbm+t55plntt577715mZmZJWvWrElZunTp54Fxf/WrX+3Kz89vHjFixKRzzjln7M0337x31qxZdeGM+9hjj2X55zVszZo1KU6ns3TOnDnDu7MsYkzfeHJqWVmZqaioiHUYfZ6noRmf20tcUjxxifGxDkcp1U0issYYU9adaVRWVm4vKio65hpv1XMqKyuzi4qK8oPLtfe76hS7MwGcsY5CKaVUKP06qdc111HnrqO6sZq8lDwyEjKIj9PWp1JKqeNTv03qde46nt74NE989AQASfYkFp23iAlZE2IcmVJKKdU1UesoJyKZIvKyiDSIyA4RmdNGvdtEZL2IHBaRbSJyW0/E09DSwO8/+v2R942eRu79x70cbIp6Hw2llFIqIqLZUn8UcAODgGLgVRGpNMZsCKonwFXAR8Ao4E0R2WmMeS6SwTS4GzAc3UlwV/0uvL4euyeAUkr1VT6fzyc2m61v9Lzu5Xw+nwAhk1VUWuoi4gRmAncZY+qNMX8H/gRcGVzXGPMLY8y/jDEeY8xnwDLg9EjHlJ6YTlZi1lFl5+WfR6ojNdKzUkqpvm59dXV1uj/ZqB5ijKG5uTl+x44dA4C/h6oTrZb6GMBjjNnUqqwSOLO9kcS6XdkZwO/aGH4DcAPAsGHDOhVQVmIWi85bxPxV89lWu42v5n+VawuvJdGu110rpVRneDye6/fs2bNwz549hej9T3qST0RqvV7vb3w+3+OhKkTlOnUROQN4wRgzuFXZN4HLjTFntTPevcAlwGRjTLs3Ge/qdep1zXW4vW7SEtJwxPWqWw4rpVSPi8R16qr3iFZLvR5ICypLAw63NYKIfBvr3PoZHSX07khLCA5LKaWUOj5F6zDJJsAuIq1vnl8EBHeSA0BErgXuAM42xnwZhfiUUkqp415UWurGmAYReQn4qYhcj9X7/WJgSnBdEbkcmAdMM8Z8Hjw8ohr2w/7NUP0JjDwLnAMhIaVHZ3k8a2n20NzopaXJgyPJTmJKPHFxevpMKaV6i2he0nYT8BSwDzgA3GiM2eA/3/6aMSaQTX8GZAGrWz3W8/+MMd+KaDSug/DqrbDxFeu9CMx5AQrOsf5XR2lxe/m8cj9v/+ETfB5DQrKdi75bzMDhevpCKaV6i6g1s4wxB40xlxhjnMaYYcaYJf7y91oldIwxI4wx8caYlFavyCZ0gObD/07o1ozhjTuhoTris+oL3C4PK575FJ/H6ljZ7PLwt//diKsuoo8+Vkop1Q3999ipJ0Tfu6Y6K7mrY7Q0e/C2HP3o45q9LvrKU/6UUqov6L9JPWkAZBUcXXbyNyEpIzbx9HLxceAccPQlf0PHDcDmiX1LvfFwHbs2fcqa1/7Evh3baGqoj3VISikVE/03qacMhLnLYcotMGo6XLIATr4O7Hqteijx3nouvHIYg0akERdvI//ETKbOyCKe2Cb1poYGvli3jiR7CqNGnkSc28auTzbiaWmJaVxKKRUL/fYpbQA1cVk0nnQbjY0u0gZkkhIfR1Ksg+qlbHY7zU/M44yvnE38tHzclWtpfnU/qTfeGNO4TIuHgfHDaHhyO3gN4ogj62vDcTe6sMenxzQ2pZSKtn7bUj/kcjP/tU+Z8sDfOfuRf3HavLeo3Fkb67B6LXtWFoN//GPYsZnDj/yS+AQbWddcQ1xyckzjivPF4/pLFXitc/vG7cX1ahV2T7/eX1VK9VP99pevvtnD8xU7j7z3+Aw/WbaBxd88heyUhBhG1nvZc3LI+e53MI2N2JxOJC4u1iGB12DcR3fg89Y0I9Jv91eVUv1Yv/3la3If+9S6/fXN+Hzam7s9tvh44tLSekdCB7DHEZd59EN4HCPSMZrUlVL9UL/95UtPjueEjKPPoF928lDSk+JjFJHqCm+8jZTLxuIYkY44bCSMzSD5P0ZiEvrtqq2U6sf67eH3nNRElv73aTz8t01s2lvPRUW5XFKSS0J8L2mB9kJ1zXUcaj7EzsM7GTVgFOkJ6STZY9u1MCnFQYPP0HJ6Lg5HHO4WL840Bwm9YOespdlDs8uDq86NMz2BhGQ7doeuX0qpntNvkzpA7oAk7r2okKYWL2mJdr2PeTsaWhp4/rPn+c3a3wAQJ3E8evajnJZ7GrYYH+p2piXgGG2npdlLRpIde3zsv0ePx8eODQf568IN+HwGm1244FuTOGF8hq5nSqke0+9/XZIccWQ4HfpD24F6dz2Prnv0yHuv8XLPP+7hYNPBGEb1b/EJcSSnOXpFQgdorm9hxR8+YXBBOhPPGMyg4Wm89fRGmur1+nmlVM/p1y11FT63z43XHN25cL9rf6+4Taynpgb3jh00VX5E8imTiR8yhLj02F6j7vX6mPHNUVTvWM+ezR8xclIp6YPGYrQjplKqB2lSV2FJticzIm0E2+q2HSmbkT+DZHtsr1P3Hj7M/scXUPOHPxwpG3TXXQyYPQubI3Z3B7TZWqh8czGbPnwPgE8/WEnh9PMYOGIukNj+yEop1UWa1FVYsnzwxJSf8fCnz/BJzSbOHDSZuaMuxuk79tLAaPI1NFDzf/93VFn1Qw+R+tWvYhuYE6OowPjc7N22mXOv/jbZJ+Szb8dWVr3+Emb2N2IWk1Kq7+sdJyBV79dcy+CnL+HulmSeGnYpN+/fS9bCGdDSGNOwjM8HvqNvPuNrbgZie5jbZo9j9v/7KYN35uJbeoAhe4Yy+/v3ITbd5JRSPUdb6io89kRoriP57w9z5ID7gOEgEsuosCUlkXzqqbg+/PBIWfqll2BzOmMYFThI5PDLW/FUWzs97i21mCYvzqvGxzQupVTfpkldhSchDc65F974ofU+zgEXPwrO2B3iBqhPEmz33orz1bdg3UbMGSfTcuapNMYbUmIZWIs5ktCPFH1Zj3i0o5xSqudoUlfhSUjBPely4sZeiK+2CltGPiZxAPYYt9QbPA1c9O6VTBt3JgUlY6k8vIpV7zzKG7PeIMURu7QuYpAkO6bRc6TMluoA42tnLKWU6h5N6iosLreHZRvquPfPn+B02Gn2fMzT106mdFgyEsPEbhdrFf7rzrf4q78sPSEdIbY7G4Zm0s8fwqE/VYHHh8TbSL9gCMbmBmJ7aqA38/kMLc1e4hNs2LT/gVKdpluNCktdo4efLNtAU4uPAw1u6pu93Lq0kv317pjGlWLg+vGXH1V226SbGECMb8ealIC36UuyLh9C1pXDyPz6YLxNu5Dk2N5WtzdrPOzm4xVf8voTH/Ov13fgqovtuqXU8Uhb6iosTS1e3N6jDx1/cdCFiXEvc6fbxRWkce70x/n00BYmZU4gc9ObxJ/QFNO4DuHizaSNnCVJtHyxnfiCkfw1bi0XekeRo9epH8Pd6OH9P27hsw/3APDlJzVUbTrEudcXkpQS+/v4K3W8iFpSF5FM4EngXGA/cKcxZkmIetOAu4FSoMYYkx+tGFXbnAlx5A1IourQvzt/TR83kER7bFvExp5E+or5pBsfowcMg4OfQ/pQmPzfMY3L7Wli/sbf8mt7EtlJ2ez75z6avc2cN+HimMbVW7U0e9m0au9RZV9+WoPH7QU0qSsVrmgefn8UcAODgMuBx0VkYoh6DcBTwG1RjE11IDslgcXXn8Jpo7LISI7n4uJc5l16ImkxfhparaRx6JJnrEvudleCM4dD/7GQQxLb28QmShwj0kfQ6Glk5+GdNHubKcwuJCHG5/p7LYF4h43sE1IYd9pgBo1Iw2aTmPbXUOp4JNG4d7eIOIEaoNAYs8lf9gxQZYy5o41xzgEWhttSLysrMxUVFRGKWLXlkMuN2+PDmWDHmRD7szdfHGjghy9VcvtXsshIhN0Nhnvf3seTV09mcFoMD3PX7+PLwzu5q/IR1u9fT+nAEu6ZdCNDnHmQOjB2cfVSnhYfNbv2s2/7Zr7cWMGggkJyxxQyYFAWjsTYr2d9mYisMcaUxToOFRnR2lrGAJ5AQverBM7szkRF5AbgBoBhw4Z1Z1IqTAOSY3c/9VAS4uP4eFc9Fz1dc6RsVE5KzC+1a7ElMHjzSh7OmIx7zJUk7FlP8rZ/4im9SjuyhLTZY8IAAA+ASURBVOB1u9i48s+seXUZiSkpbHzvbcaccjrTrroeR2JmrMPrtdxNHlqavcTZbSQ69TSFil5STwHqgspqgdTuTNQY8wTwBFgt9e5MSx2fMp3xLLiilBsX/4tDrhYGpyXy6OUlZKcmxDSug54EPnaeR1HyfhK3r6Yp7zTer02ntNnGoNiG1iu5XS48jW6unfc4vroWbGkO1n/wNzwt+qjatjTUNvOPl7awY/1BMvOcnDVnLAMGJiM2PWXRn0UrqdcDaUFlacDhKM1f9VHxcXGU5Wfw5v+bSpPHR2K8jSxn7LOmx+vj+hc+J29AEvnZU9j6YQN76g7y4Z0jYh1arxRnj+ekky6kfuE28BkQmHD+V7Dbe9eRod7C3ejhvec2sXVtNQC7Nh1i2cNrmV1+Es4MvWyyP4tWUt8E2EVktDFms7+sCNgQpfmrPiw+Lo6BaTG+Lj1IksNO6bAM/vVFzZErBs4ck01ifO+Ks7ew4+DQa7ushA5goPGvu0k9cXBsA+ulWhrdfPlpDSeeNZiBwxOoO+Dhk/f3427y6q2N+rmo9H43xjQALwE/FRGniJwOXAw8E1xXRGwikoh1HYuISKKI6O66Oq5kOh0suKKUy08ZxphBKVx7ej6/nF3U6/ok9BY2EXz1Rx9qNy2+fyd5dTTj4z9uGU1T7Tu8t/h/qNrwPF+9diiORL2fWH8XzT47N2FdqrYPOADcaIzZICJnAK8ZYwI36p4KrGg1XiPwLnBWFGNVqtsGpiXy4wsn0OD2kJJg11Z6OyTOkFCQTvOW2iNl9kHJ2LRXYWhxbtYsX8yn778DQF31Pqq/2MY37v0F/Ps5iqofitomY4w5CFwSovw9+PcDtYwx74BezKv6hiRHHEkOTeYdaYiLJ31mAfVv7uD/t3f/UXKV9R3H35/sj5DNZvMbaEADAkEkh8QjAY/WQkEKRKpgPDQ0UuLRUlHsoUALpcGDMaicFsSKNKJIQISCCoooHmuxR0KlEi1JDyUE8sMmhBiC+bGbsMkm++0fz7Pp7HQ27IZk7uzs53XOnMzcuffOZ2Z38733uc88z85V7TQd2ULbzKNpb2piTNHhatDu7j2seGpxr2Xtm15h165iR1K04vk42MwKt6Orm3MW/oLPzTyet737UFZu6+S6RU+z6COn+JJFJREcO+NU3nHGBxgxoo090cWvfvp9Gpr9WQ11LupmVrhhw2B3dzD3/qV7l7U0N9Dc6GvElTS2juWsP/kkmxc9x/Ztr6LmYbzrggtpbHbT+1DnvxgzK9z4lmZuvnAazQ3pv6SGYeLGC6YyuuBhiGvVIV3B1u+uZE+eyS52dbPtodU0hs/UhzqfqZtZ4RoahnHy5LH8/G/+kI3tnUxsHU7biCZ3LuxLQNfLHb0XdXXDrj0FBbJa4aJuZjVhRHMjI5obOXy0p6Z9XQ1i+DFj2PnClr2LNKKRYTUwH4MVy83vZmaDTENLE2M/NIXmo9NshI0TRjDxo1MZNtJFfajzb4CZ2SDUOHo44y8+AXZ3g0TDKF9PNxd1M7NBq6HFHQmtNze/m5mZ1QkXdTMzszrhom5mZlYnXNTNzMzqhIu6mZlZnXBRNzMzqxMu6mZmZnXCRd3MzKxOuKibmZnVCRd1MzOzOuGibmZmVidc1M3MzOqEi7qZmVmdqFpRlzRO0sOStkv6jaQ/7WM9SbpJ0qv5dpMkVSunmZnZYFXNqVe/AuwCDgOmAz+UtDQini1b71LgfGAaEMC/AKuBhVXMamZmNuhU5Uxd0khgFnB9RHRExGLgEeDiCqtfAtwcEesi4iXgZmBuNXKamZkNZtU6U58C7I6IFSXLlgKnVVj3xPxc6XonVtqppEtJZ/YAHZKe3898E4BN+7ntweRcA+NcA1er2ZxrYN5IrskHMogVq1pFvRXYVrZsKzCqj3W3lq3XKkkREaUrRsQdwB1vNJykJRFx8hvdz4HmXAPjXANXq9mca2BqNZdVX7U6ynUAbWXL2oD2fqzbBnSUF3QzMzPrrVpFfQXQKOm4kmXTgPJOcuRl0/qxnpmZmZWoSlGPiO3AQ8B8SSMlvRv4APDNCqvfA1wp6QhJk4CrgEUHOeIbbsI/SJxrYJxr4Go1m3MNTK3msipTtVq1JY0DvgGcBbwKXBsR90l6D/BYRLTm9QTcBHwsb/p14Bo3v5uZme1b1Yq6mZmZHVweJtbMzKxOuKibmZnViSFb1CUNl3RnHoe+XdIzks4tOheApHslvSxpm6QVkj72+ltVj6TjJHVKurfoLD0k/VvO1JFv+zsQ0QEnabak5/K8BytzP5Ii83SU3fZI+nKRmXpIOkrSjyRtlrRB0m2SqjmcdV+5TpD0uKStkl6UdEEBGS6XtETSTkmLyp47U9JySTsk/UySB5QZooZsUScNvLOWNKrdaGAe8KCkowrM1OPzwFER0Qa8H1gg6R0FZyr1FeDpokNUcHlEtObb8UWHAZB0Fqnj50dIgy39AbCqyEwln1ErcDjwGvDtIjOVuB3YCPweaY6I04BPFBkoH1R8H3gUGEcaxfJeSVOqHGU9sIDU4bg03wTSt4uuz/mWAA9UOZvViCFb1CNie0TcEBFrIqI7Ih4lTRxTePGMiGcjYmfPw3w7psBIe0maDWwB/rXoLIPEZ4D5EfFU/j17Kc9pUCtmkYroE0UHyY4GHoyIzojYAPyYPoaJrqK3ApOAL0bEnoh4HHiSynNXHDQR8VBEfI/07aFSHwSejYhvR0QncAMwTdJbq5nPasOQLerlJB1GGqO+Jga6kXS7pB3AcuBl4EcFR0JSGzAfuLLoLH34vKRNkp6UdHrRYSQ1ACcDE3OT7brcnDyi6GwlLgHuqaGvjN4KzJbUIukI4FxSYa81AqYWHSLrNV9GHhdkJcUfDFkBXNQBSU3At4C7I2J50XkAIuITpOba95Ca1nbue4uq+CxwZ0SsKzpIBdcAbwGOIA3E8QNJRbduHAY0AR8i/RynA28nXeopXL7uehpwd9FZSvycVIy2AetITcnfKzQRPE9qzfhrSU2S/oj0ubUUG2uv8vkyoO+5NazODfmiLmkYaWS7XcDlBcfpJTf1LQaOBC4rMouk6cB7gS8WmaMvEfEfEdEeETsj4m5S8+jMgmO9lv/9ckS8HBGbgFsoPlePi4HFEbG66CCw92/xx6SD2JGkmcfGkvokFCYiuoDzgfcBG0ijXD5IOuioBQOZW8Pq3JAu6nn0ujtJZ1Sz8h9vLWqk+GvqpwNHAf8jaQNwNTBL0q+LDLUPQWoiLS5AxGbSf/ylTdu10swN8GfU1ln6OODNwG354OxV4C5q4CAoIpZFxGkRMT4izia1Cv2y6FxZr/kyJI0k/X9RE5cSrbqGdFEH/gk4AfjjiHjt9VauBkmH5q9AtUpqkHQ2cBHFd0y7g/QfxfR8Wwj8EDi7yFAAksZIOlvSIZIaJc0h9TKvhWuxdwGfyj/XscBfkXpRF0rSu0iXKmql1zu5JWM1cFn+OY4hXfNfVmwykHRS/v1qkXQ1qXf+oipnaJR0CNAANPT8vgMPA1MlzcrPfxpYViuXEq26hmxRz9cT/4JUoDaUfGd3TsHRgtTUvg7YDPwDcEVEPFJoqIgdEbGh50Zq8uuMiFeKzJU1kb7q8wqwCfgUcH5ErCg0VfJZ0tf/VgDPAf8J3FhoouQS4KGIqLUm2g8C55B+li8CXaQDoaJdTOqwuhE4Ezir5Bsq1TKPdEnnWuDD+f68/Dc4i/R7tRk4FZhd5WxWIzz2u5mZWZ0YsmfqZmZm9cZF3czMrE64qJuZmdUJF3UzM7M64aJuZmZWJ1zUzczM6oSLug1pktZIem+Br3+ZpN/mMRLGV3h+oaTri8hmZoNPY9EBzIaqPJHQLcA7I2JppXUi4uPVTWVmg5nP1M0OgDxc50AdBhyCx+g2swPERd1qUm4Wv1rSMklbJT2Qx7qeK2lx2boh6dh8f1Gei/6x3KT9pKTDJd0qabOk5ZLeXvZyMyT9d37+rjx+ds++z5P0jKQtkv5d0kllGa+RtAzYXqmwSxqeX3t9vt2al00hTekJsEXS4318DoskLcj3J0h6NGf5naQn8sxm5BwvSWqX9LykM8u3z49Pl7Su5PEkSd+V9Iqk1ZL+suS5UyQtkbQtXyK4Zd8/NTMrmou61bILSeOAHw2cBMwdwHbzSFN37gR+Afw6P/4Oqcm71BzSxDTHAFPytuTi/w3SHAHjga8Cj0gaXrLtRaQpOcdExO4KWf4OeCdpjoFpwCmk8bpXkOYNJ297Rj/e11WkOQEmks7yrwNC0vGkaYNnRMSo/F7WvN7O8gHBD4ClpMldzgSuyJMIAXwJ+FJEtJE+mwf7kdHMCuSibrXsHyNifUT8jlR8pvdzu4cj4lcR0UmawaozIu6JiD3AA0D5mfptEbE2v86NpEINcCnw1TxX+548T/tOUpEuzbh2H7P8zQHmR8TGPPHGZ0iTg+yPLtLsYJMjoisinog0ecMeYDjwNklNEbEmIlb2Y38zgIkRMT8idkXEKuBr/N9kIF3AsZImRERHRDy1n7nNrEpc1K2WbSi5vwNo7ed2vy25/1qFx+X7WVty/zfApHx/MnBVbu7eImkL8KaS53ttK2lOyWx/j+XFk/I+K+2/F0nXlWy/sMIqf0+auewnklZJuhYgIl4ErgBuADZK+mdJFV+jzGRgUtn7u47UCgDwUVLLxXJJT0s6rx/7NLMCuajbYLMdaOl5IOnwA7DPN5XcfzOwPt9fC9wYEWNKbi0RcX/J+nunOYyIb0VEa76dmxevJxXPSvvvJSI+V7L9/+v1HhHtEXFVRLwFeD9wZc+184i4LyJ+P79WADflzXp9XkDp57UWWF32/kZFxMy8zxci4iLg0Ly/70gaWSm7mdUGF3UbbJYCJ0qanju03XAA9vlJSUdKGke6Bv5AXv414OOSTlUyUtL7JI0awL7vB+ZJmihpAvBp4N79CZk77R0rScBWUrN7t6TjJZ2Rr/V3klojuvNmzwAzJY3LB0BXlOzyl0B77mQ3QlKDpKmSZuTX+7CkiRHRDWzJ23RjZjXLRd0GldzBbD7wU+AFYPG+t+iX+4CfAKuAlcCC/FpLgD8HbgM2k5q+5w5w3wuAJcAy4L9IHfYW7HOLvh1Het8dpM5/t0fEz0jX078AbCJdsjgU+Nu8zTdJB0JrSO+x54CF3MfgPFJfhdV5+68Do/Mq5wDPSuogdZqbvY++A2ZWA5T62ZiZmdlg5zN1MzOzOuGibmZmVidc1M3MzOqEi7qZmVmdcFE3MzOrEy7qZmZmdcJF3czMrE64qJuZmdWJ/wWXgUuADWe7ngAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_issues(adf_8_qv, \n",
+ " 'QV avg. wellfare loss vs n issues, 1 Prop8 and rest $\\mu=0$', \n",
+ " hue='n-voters',\n",
+ " ylim=(0, 0.7))\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### Just Prop8 issue and all but (plot for figure)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 478,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# plot_WL_vs_n_issues(adf_8_qv, \n",
+ "# 'QV avg. wellfare loss vs n issues, just Prop8', \n",
+ "# hue='n-voters',\n",
+ "# ylim=(0, 1.1),\n",
+ "# WL_col = \"Prop8-WL\")\n",
+ "\n",
+ "# plot_WL_vs_n_issues(adf_qv, 'QV wellfare loss vs n issues, $\\mu=0$', hue='n-voters')\n",
+ "\n",
+ "\n",
+ "f, ax = plt.subplots(figsize=(4, 3))\n",
+ "sns.lineplot(x=\"number-of-issues\", \n",
+ " y=\"Prop8-WL\",\n",
+ " hue='n-voters',\n",
+ " style='QV?',\n",
+ " markers=True,\n",
+ " ax = ax,\n",
+ " data = adf_8_qv[adf_8_qv['number-of-voters'].isin([11, 101, 1001, 10001])])\n",
+ "\n",
+ "ax.set(ylim=(0, 1), \n",
+ " xlabel = \"Number of issues\",\n",
+ " ylabel=\"Prop8 Wellfare Loss\")\n",
+ "\n",
+ "\n",
+ "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
+ "plt.savefig('figures/mQV_WL_vs_n_issues_prop8.png', bbox_inches='tight', dpi=300)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 389,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_issues(adf_8_qv, \n",
+ " 'QV avg. wellfare loss vs n issues, all but prop8', \n",
+ " hue='n-voters',\n",
+ " ylim=(0, .25),\n",
+ " WL_col = \"all-but-pop8-WL\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Wellfare loss of QV and 1p1v in multi-issue voting -- all utilities from normal distrubution with $\\mu=0$ except for one with Prop8 Calibration using normal distrubitons"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Dataframe prep"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {},
+ "outputs": [
+ {
+ "ename": "NameError",
+ "evalue": "name 'df2' is not defined",
+ "output_type": "error",
+ "traceback": [
+ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+ "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)",
+ "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mdf_prop8\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mload_csv_to_dataframe\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'2020.02.22-multi-issue-QV-non-strategic-voting-prop8-normal-dists.csv'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;31m# checking that mean-WL is 0 whenever maximial-utility? is True and is >0 when maximal utility is false\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0mall\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdf_prop8\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'maximal-utility?'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mapply\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;32mlambda\u001b[0m \u001b[0mmu\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mmu\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mceil\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdf2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'mean-WL'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
+ "\u001b[0;31mNameError\u001b[0m: name 'df2' is not defined"
+ ]
+ }
+ ],
+ "source": [
+ "df_prop8 = load_csv_to_dataframe('2020.02.22-multi-issue-QV-non-strategic-voting-prop8-normal-dists.csv')\n",
+ "# checking that mean-WL is 0 whenever maximial-utility? is True and is >0 when maximal utility is false\n",
+ "all(df_prop8['maximal-utility?'].apply(lambda mu: not mu) == np.ceil(df2['mean-WL']))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "df_prop8['Prop8-WL'] = df_prop8['WL-per-issue'].apply(lambda ar: ar[0])\n",
+ "df8_qv = df_prop8[df_prop8['QV?'] == True]\n",
+ "df8_1p1v = df_prop8[df_prop8['QV?'] == False]"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## 1p1v Wellfare loss"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {},
+ "outputs": [
+ {
+ "ename": "NameError",
+ "evalue": "name 'df8_1p1v' is not defined",
+ "output_type": "error",
+ "traceback": [
+ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+ "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)",
+ "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0madf_1p1v\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0maggregate_by_num_voters_num_issues\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdf8_1p1v\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
+ "\u001b[0;31mNameError\u001b[0m: name 'df8_1p1v' is not defined"
+ ]
+ }
+ ],
+ "source": [
+ "adf_1p1v = aggregate_by_num_voters_num_issues(df8_1p1v)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### 1p1v wellfare loss vs number of voters"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### Avg WL of all issues"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 319,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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GmG3GmD3GmCeNMXEhClNERFCfLSISDKEc0d4C3A082dRMxpjTgVuAU4C+wADgj65HJyIitanPFhFppZAl2tbaV621rwP5zcz6S+AJa+231tqdwHTgUrfjExGRfdRni4i0XnS4A2jAEGB+relVQHdjTFdrbZ0O3xhzJXAlQFJS0hGDBg0KXZQiIkH0xRdf5FlrM8IdRwuozxaRDsffPrstJtrJwO5a03v/n0K9kRVr7WPAYwBZWVl2xYoVIQlQRCTYjDEbwx1DC6nPFpEOx98+uy3edaQISK01vff/hWGIRUREmqY+W0SkEW0x0f4WGFZrehiwvf5PkCIi0iaozxYRaUQob+8XbYyJB6KAKGNMvDGmoVNXngEuM8YcaoxJA24HngpVnCIioj5bRCQYQjmifTtQinMbqMm+/99ujOljjCkyxvQBsNa+DdwHvA9sAjYCfwhhnCIioj5bRKTVjLU23DEEhS6sEZH2zBjzhbU2K9xxhEpTffaePXvYsWMHlZWVIY5KgiEpKYkDDjgAj6ctnp0qEhz+9tlt8a4jIiLSQe3Zs4ft27fTu3dvEhISMMaEOyQJgNfrJScnh7y8PLp16xbucETCTl83RUSkzdixYwe9e/cmMTFRSXY75PF46N69O7t3725+ZpEOQIm2iIi0GZWVlSQkJIQ7DGmFmJgYqqqqwh2GSJugRFtERNoUjWS3b9p+Ivso0RYRERERcYESbRERERERFyjRFhERaSeGDBnC0qVLwx2GiPhJt/cTERFpJ7799ttwhyAiAdCItoiIiIiIC5Roi4iI+Klfv37MmjWLoUOH0qlTJy688ELKysp46qmnGDlyZJ15jTH8+OOPAFx66aVcddVVnHnmmSQnJ3P88cezbds2fve739G5c2cGDRrEl19+6Vf77777LgD/+c9/yMrKIjU1le7du3PDDTcAUFZWxuTJk+natStpaWkceeSRbN++fb/3A0ybNo3JkyfXTH/66accd9xxpKWlMWzYsDqnqTz11FMMGDCAlJQU+vfvz3PPPdeylSjSgSjRFhERCcBLL73E22+/zU8//cRXX33FU0895ff77r77bvLy8oiLi+PYY49lxIgR5OXlcf7559ckyv667rrruO6669izZw/r1q3jggsuAODpp59m9+7d/Pzzz+Tn5/Poo4/6dW/ynJwcxo0bx+23305BQQGzZs1i/Pjx5ObmUlxczLXXXstbb71FYWEhy5cvZ/jw4QHFK9IRKdEWEREJwLXXXkuvXr3o0qUL2dnZrFy50q/3nXfeeRxxxBHEx8dz3nnnER8fzyWXXEJUVBQXXnihXyPatcXExPDjjz+Sl5dHcnIyxxxzTE15fn4+P/74I1FRURxxxBGkpqY2W9+zzz7L2LFjGTt2LB6Ph9NOO42srCzefPNNwHnq4zfffENpaSk9e/ZkyJAhAcUr0hEp0RYREQlAjx49av6fmJhIUVGRX+/r3r17zf8TEhL2m/a3nr2eeOIJ1q5dy6BBgzjyyCNZuHAhAFOmTOH0009n4sSJ9OrVi5tuuonKyspm69u4cSMvv/wyaWlpNa9ly5axdetWkpKSePHFF3n00Ufp2bMn48aN4/vvvw8oXpGOSIm2iIhIKyUlJVFSUlIzvW3bNtfbPOigg3jhhRfYsWMHN998M+effz7FxcXExMTwhz/8ge+++47ly5ezcOFCnnnmmWbjzMzMZMqUKezatavmVVxczC233ALA6aefzr///W+2bt3KoEGDuOKKK1xfRpH2Tom2iIhIKw0bNoxvv/2WlStXUlZWxrRp01xv89lnnyU3NxePx0NaWhrgnN7x/vvv8/XXX1NdXU1qaioxMTF4PM7H/fDhw5k3bx6VlZWsWLGCV155paa+yZMns2DBAhYvXkx1dTVlZWUsXbqUzZs3s337dubPn09xcTFxcXEkJyfX1CkijdNRIiIi0koHH3wwd955J6eeeioHHXTQfncgccPbb7/NkCFDSE5O5rrrrmPevHkkJCSwbds2zj//fFJTUxk8eDCjR49mypQpAEyfPp1169bRuXNn/vCHPzBp0qSa+jIzM5k/fz4zZswgIyODzMxMZs6cidfrxev18sADD9Scm/7BBx/wyCOPuL6MIu2dsdaGO4agyMrKsitWrAh3GCIiLWKM+cJamxXuOEKlsT579erVDB48OAwRSTBpO0qk87fP1oi2iIiIiIgLlGiLiIi0EZs2bSI5ObnB16ZNm8IdnogEKDrcAYiIiIijT58+Ad/mT0TaLo1oi4iIiIi4QIm2iIiIiIgLlGiLiIiIiLhAibaIiIiIiAuUaIuIiIiIuECJtoiIiJ/69evHu+++G+4wRKSdUKItIiIiIuICJdoiIhIRXv8yh+P/vIT+tyzi+D8v4fUvc4Ja/5QpU9i0aRPZ2dkkJyeTkJDA/fffD0BOTg7GGGbPng3AunXr6NKlC16vF4DHH3+cgQMH0qVLF84++2y2bNkS1NhEpG1Soi0iIu3e61/mMPXVr8nZVYoFcnaVMvXVr4OabM+dO5c+ffqwYMECioqKmD17NkuXLgXggw8+YMCAAXz44Yc106NGjcLj8bBkyRKmTp3KSy+9xNatW+nbty8TJ04MWlwi0nYp0RYRkXZv5uI1lFZW1ykrraxm5uI1rrU5evRoli1bhtfr5cMPP+Smm27i448/BpxEe/To0QA899xz/PrXv2bEiBHExcVxzz338Mknn7BhwwbXYhORtkGJtoiItHtbdpUGVB4MBx54IElJSaxcuZKPPvqIs846i169erFmzZo6ifaWLVvo27dvzfuSk5Pp2rUrOTnBPbVFRNoeJdoiItLu9UpLCKi8pYwxdaZHjx7NK6+8QkVFBb1792b06NE8/fTT7Ny5k+HDhzsx9OrFxo0ba95TXFxMfn4+vXv3DmpsItL2KNEWEZF27/9OP4SEmKg6ZQkxUfzf6YcEtZ3u3buzfv36munRo0fz8MMPc8IJJwBw4okn8vDDDzNy5Eiiopx4LrroIv75z3+ycuVKysvLufXWWzn66KPp169fUGMTkbZHibaIiLR75/6iN/f8z+H0TkvAAL3TErjnfw7n3F8Ed9R46tSp3H333aSlpTFr1ixGjx5NYWFhTaI9cuRISkpKaqYBTj31VKZPn8748ePp2bMn69atY968eUGNS0TaJmOtDXcMQZGVlWVXrFgR7jBERFrEGPOFtTYr3HGESmN99urVqxk8eHAYIpJg0naUSOdvn60RbRERERERFyjRFhERERFxgRJtEREREREXKNEWEREREXGBEm0RERERERco0RYRERERcYESbRERERERFyjRFhERERFxgRJtERERP61Zs4bhw4eTkpLCQw89FO5wRKSNiw53ACIiIu3Ffffdx0knncTKlSvDHYqItAMhG9E2xnQxxrxmjCk2xmw0xkxqZL44Y8yjxpjtxpgCY8wCY0zvUMUpIiLqsxuzceNGhgwZEtQ6rbV4vd6g1ikibUMoTx2ZDVQA3YGLgUeMMQ31VtcBxwJDgV7ATuBvoQpSRESA9thnf/US/OUwmJbm/PvVS0Gt/uSTT+b999/nmmuuITk5mVWrVnHJJZeQkZFB3759ufvuu2sS5mnTpjF58uSa927YsAFjDFVVVQCceOKJ3HbbbRx//PEkJiayfv36oMYqIm1DSBJtY0wSMB64w1pbZK1dBrwBTGlg9v7AYmvtdmttGfAiENzhAxERaVS77LO/egkWXAu7fwas8++Ca4OabC9ZsoRRo0bx8MMPU1RUxP3338/u3btZv349H3zwAc888wz//Oc//a5v7ty5PPbYYxQWFtK3b9+gxSkibUeoRrQPBqqstWtrla2i4c74CeB4Y0wvY0wizkjKWw1Vaoy50hizwhizIjc3N+hBi4h0UO2vz37vLqgsrVtWWeqUu6C6upp58+Zxzz33kJKSQr9+/bjxxhuZO3eu33VceumlDBkyhOjoaGJiYlyJU0TCK1SJdjKwp17ZbiClgXl/AH4GcnzvGQw02FNaax+z1mZZa7MyMjKCGK6ISIfW/vrs3ZsDK2+lvLw8Kisr64xE9+3bl5ycHL/ryMzMdCM0EWlDQpVoFwGp9cpSgcIG5p0NxAFdgSTgVRoZHREREVe0vz670wGBlbdSeno6MTExbNy4saZs06ZN9O7tXAealJRESUlJzd+2bdu2Xx3GGFdiE5G2I1SJ9log2hhzUK2yYcC3Dcw7HHjKWltgrS3HuajmKGNMegjiFBGR9thnn3InxCTULYtJcMpdEBUVxQUXXMBtt91GYWEhGzdu5IEHHqi5AHL48OF8+OGHbNq0id27d3PPPfe4EoeItG0hSbSttcU4oxx3GWOSjDHHA+cADZ3M9jlwiTGmkzEmBrgK2GKtzQtFrCIiHV277LOHXgDZD0GnTMA4/2Y/5JS75G9/+xtJSUkMGDCAkSNHMmnSJH79618DcNppp3HhhRcydOhQjjjiCM466yzX4hCRtstYa0PTkDFdgCeB04B84BZr7fPGmFHAW9baZN98XYGHfPPFAt8AN1hr/9NU/VlZWXbFihVuLoKIiGuMMV9Ya7PCHcde4eqzV69ezeDBg4O6LBJ62o4S6fzts0P2ZEhrbQFwbgPlH+FceLN3Oh/nqnUREQkT9dkiIq0XygfWiIiIiIh0GEq0RURERERcoERbRERERMQFSrRFRERERFygRFtERERExAVKtEVEREREXKBEW0RERETEBUq0RURE/LRmzRqGDx9OSkoKHo+H6dOnhzskEWnDQvbAGhERkfbuvvvu46STTmLlypXhDkVE2gGNaIuIiPhp48aNDBkyJNxhiEg7oURbREQiwqL1ixjzyhiGPj2UMa+MYdH6RUGt/+STT+b999/nmmuuITk5mUmTJnH77bcDMHjwYBYuXFgzb1VVFRkZGfz3v/8F4NNPP+W4444jLS2NYcOGsXTp0qDGJiJtkxJtERFp9xatX8S05dPYWrwVi2Vr8VamLZ8W1GR7yZIljBo1iocffpiioiJiY2Nr/nbRRRfxwgsv1EwvXryY9PR0RowYQU5ODuPGjeP222+noKCAWbNmMX78eHJzc4MWm4i0TUq0RUSk3fvrf/9KWXVZnbKy6jL++t+/hqT9SZMm8cYbb1BSUgLA888/z0UXXQTAs88+y9ixYxk7diwej4fTTjuNrKws3nzzzZDEJiLho0RbRETavW3F2wIqD7aBAwcyePBgFixYQElJCW+88QaTJk0CnPO6X375ZdLS0mpey5YtY+vWrSGJTUTCR3cdERGRdq9HUg+2Fu+fuPZI6hGyGPaePuL1ejn00EMZOHAgAJmZmUyZMoXHH388ZLGISNugEW0REWn3rhtxHfFR8XXK4qPiuW7EdSGLYeLEibzzzjs88sgjNaPZAJMnT2bBggUsXryY6upqysrKWLp0KZs3bw5ZbCISHkq0RUSk3Rs3YBzTjptGz6SeGAw9k3oy7bhpjBswLmQx9OzZk2OPPZbly5dz4YUX1pRnZmYyf/58ZsyYQUZGBpmZmcycOROv1xuy2EQkPIy1NtwxBEVWVpZdsWJFuMMQEWkRY8wX1tqscMcRKo312atXr2bw4MFhiEiCSdtRIp2/fbZGtEVEREREXKBEW0RERETEBUq0RURERERcoERbRERERMQFSrRFRERERFygRFtERERExAVKtEVEREREXKBEW0RERETEBUq0RUREWmnGjBlcfvnl4Q5DRNqY6HAHICIi0t7deuut4Q5BRNogjWiLiIiIiLhAibaIiESE3QsW8MPJp7B68KH8cPIp7F6wwJV27r33Xnr37k1KSgqHHHII7733HtOmTWPy5MkAvPjii/Tv3589e/YA8NZbb9GjRw9yc3NdiUdE2i4l2iIi0u7tXrCArXfcSdWWLWAtVVu2sPWOO4OebK9Zs4aHH36Yzz//nMLCQhYvXky/fv3qzHPhhRdy3HHHce2115Kfn89ll13GnDlzyMjICGosItL2KdEWEZF2b8dfHsSWldUps2Vl7PjLg0FtJyoqivLycr777jsqKyvp168fBx544H7zzZ49myVLlnDiiSeSnZ3NWWedFdQ4RKR9UKItIiLtXtXWrQGVt9TAgQN58MEHmTZtGt1YKYoYAAAgAElEQVS6dWPixIls2bJlv/nS0tKYMGEC33zzDTfeeGNQYxCR9kOJtoiItHvRPXsGVN4akyZNYtmyZWzcuBFjDDfffPN+86xcuZInn3ySiy66iGuvvTboMYhI+6BEW0RE2r1u1/8OEx9fp8zEx9Pt+t8FtZ01a9awZMkSysvLiY+PJyEhAY+n7kdpWVkZkydPZsaMGfzzn/8kJyeHv//970GNQ0TaByXaIiLS7nXKzqbn9LuI7tULjCG6Vy96Tr+LTtnZQW2nvLycW265hfT0dHr06MGOHTu455576swzdepUMjMz+e1vf0tcXBzPPvsst99+Oz/88ENQYxGRts9Ya8MdQ1BkZWXZFStWhDsMEZEWMcZ8Ya3NCnccodJYn7169WoGDx4chogkmLQdJdL522drRFtERERExAVKtEVEREREXKBEW0RERETEBUq0RURERERcoERbRERERMQFSrRFRERERFygRFtERERExAUhS7SNMV2MMa8ZY4qNMRuNMZOamHeEMeZDY0yRMWa7Mea6UMUpIiLqs0VEgiGUI9qzgQqgO3Ax8IgxZkj9mYwx6cDbwD+ArsBA4J0Qxiki4pqKqmp27Clj7fZCtu8po6SiKtwhNUZ9dgBmzJjB5Zdf7te806ZNY/LkyS5HJCJNyS8qZ0NeMZvyiykornCtnWjXaq7FGJMEjAcOs9YWAcuMMW8AU4Bb6s1+A7DYWvucb7ocWB2KOEVE3GSt5ZucPUx54jOKK6qJiTLMmjCMMUO6hzu0OtRnB+7WW28NWl39+vVjzpw5nHrqqUGrU0T2ySsq57KnPmfV5t0AjByYzoMTh5OeHBf0tkI1on0wUGWtXVurbBWw3+gIcAxQYIxZbozZYYxZYIzp01ClxpgrjTErjDErcnNzXQhbRCR48ooq+N2LKymuqAagstpy87++Yk9JmxvVVp8tIhFr0Vdba5JsgGU/5vGfnwpcaStUiXYysKde2W4gpYF5DwB+CVwH9AF+Al5oqFJr7WPW2ixrbVZGRkYQwxURCT6vtWwqKKlTVlbppayqOkwRNapd9tlrP9vG07d+zOzfLOHpWz9m7Wfbgt7Gli1bGD9+PBkZGfTv35+HHnoI2P90kGeeeYa+ffvStWtXpk+fTr9+/Xj33Xdr/l5RUcEll1xCSkoKQ4YMYcWKFQBMmTKFTZs2kZ2dTXJyMvfdd1/Ql0GkI6v2eln58679yr+qlXgHU6sTbWOMP3UUAan1ylKBwgbmLQVes9Z+bq0tA/4IHGeM6dS6SEX8V+21bN9TxsKvtvD+9zvILSwPd0gSAeKiPYw6KL1O2QGdE0iMDclZfDX86LfbXZ+99rNtvP/c9xQVOMdqUUE57z/3fVCTba/XS3Z2NsOGDSMnJ4f33nuPBx98kMWLF9eZ77vvvuOqq67iueeeY+vWrezevZucnJw687zxxhtMnDiRXbt2cfbZZ3PNNdcAMHfuXPr06cOCBQsoKiripptuClr8Im1VRVU1W3eV8vqXOXz8Yx55Re595kZ5PIwf0Xu/8nGH93SlvVYl2saYOKDSj1nXAtHGmINqlQ0Dvm1g3q8AW2vaNjCPiKu27i7ltL98wDXPf8mvnvqcC//xCbmFZeEOS9q5tMRYZk4YxulDupMUG8VR/bsw97KjSU+ODVkMfvbb7a7P/mT+OqoqvHXKqiq8fDJ/XdDa+Pzzz8nNzeXOO+8kNjaWAQMGcMUVVzBv3rw6873yyitkZ2czcuRIYmNjueuuuzDG1Jln5MiRjB07lqioKKZMmcKqVauCFqdIe7OxoIST7l/K715cycVzPuOypz93Ndk+rHcnpmUfSreUOHqnJXD/hGH06ZrgSlvBGEYxzc1grS02xrwK3GWMuRwYDpwDHNfA7P8E/mWMeQinU78DWGatdWdMX6Seyiovj324nj2l+86bXZ9XzH9+2sm4oe5845WOo0dqPLMmDKO0opqYKA+dk0KXZNfSZL/dHvvsvSPZ/pa3xMaNG9myZQtpaWk1ZdXV1YwaNYq+ffvWlG3ZsoXMzMya6cTERLp27Vqnrh49etT5e1lZGVVVVURHh/bXDZFwKyqvZObbayir3PdFedXPu1mfW+zKxYngDHpMPqYvY4f2xABdEmOJinLnbOpg1Orv6MVVQAKwA+f8vd9aa781xowyxhTVVGbtEuBWYJFv3oFAo/dvFQm2amsbPFXEzW/X0rGkxMfQLTU+XEk2+Ndvt6s+O7lLwx/IjZW3RGZmJv3792fXrl01r8LCQt5888068/Xs2ZPNmzfXTJeWlpKfn+93O/VHv0UiWVW1ZWfJ/rfX213q3i33AKKjPHRLiScjJd61JBtCeB9ta22BtfZca22StbaPtfZ5X/lH1trkevM+Yq3tba3tbK3Nttb+HKo4ReJjorhi1IA6ZXHRHk4d3LZuwSbipvbWZx97zoFEx9b9SIuO9XDsOQcGrY2jjjqKlJQU7r33XkpLS6muruabb77h888/rzPf+eefz4IFC1i+fDkVFRVMmzYNa/0/o6Z79+6sX78+aHGLtGVpibFcPrLuZ25qfDRDD0hr5B3tS7OJtjHmI98Tv/Z7Ae+FIEaRkDuoezIvXnkMJx6cwVlDe7Lo2pEhPY9WpDU6Yr998NE9OOniQTUj2Mld4jjp4kEcfHSPZt7pv6ioKBYuXMjKlSvp378/6enpXH755ezeXfcsmSFDhvC3v/2NiRMn0rNnT5KTk+nWrRtxcf6Nrk+dOpW7776btLQ0Zs2aFbT4Rdqqowd0Yc4vsxg5MJ3xI3qz4H9Hkh6+X/yCyjT3LdsY88vmKrHWPh20iFooKyvL7r09kkiwFJVV4vGYkN8VQjoeY8wX1tqsINXV5vvtxvrs1atXM3jw4DBE5J6ioiLS0tL44Ycf6N+/f7jDCYlI3I7ivsKySqI9HhJio8IdSrP87bP9yR7mWmu9zc8mEnmS42PCHYJIS6jfDrMFCxZwyimnYK3l97//PYcffjj9+vULd1gibVpKBH7m+nOO9i5jzNvGmFuNMccbYyJvLYiIRBb122E2f/58evXqRa9evfjhhx+YN2+eLnIU6YD8GdE+Exjle90ExBhj/gN86Hstt9aWuheiiIgESP12mM2ZM4c5c+aEOwwRCbNmE21r7cfAx8CfjfN1fBhwAk4HfhXOI3nj3QxSRET8p35bRKRtCPT2fp2ATKAPsPfu/BF5BbuISIRQvy0iEibNjmgbYybgjIScAHTGGSVZBjwDfG0DuTmoiIi4Tv22iEjb4M852i8Cq4F7gRettXo8Hs5t3wrLq9hdUkmXpFg6J8US4+KThUREAqB+W6SdKK2sYndJFTtLKuiSFEunhBjiY9r+7e3EP/4k2iNxRkUuBO4zxvwAfOR7fWyt3eNifG1SUXkVr3yRw10Lv8VrISUumheuPIbDencKd2giIqB+W6RdqKiqZtkP+Vz93H+pqPYSF+3hsUuO4PgD04nW4F1EaHYrWmuXW2v/bK0dB/QE/hfYBvwKWGuM+dLlGNucwrJKpi/6Dq/vx9fC8ipueuUr8os0aCQi4ad+W6R92FlSyY0vr6Si2rntfXmVlxtfWkVBcUWYI5NgaenFkJlAP6Ar0C3IMbV5pRXVVHvrnuK4LreIap32KCJtj/rtIOrXrx/vvvtuuMOQCFFZ7WVPaVWdsryiCqq8yiciRbOJtjFmgjHmb8aYVUAe8FecTvofwKHW2t4ux9jmJMdHk54cW6dszKHdSdQ5VSLSBqjfFmkf4mOiGNQjpU7Z8Mw0naMdQfwZ0Z4OxAEzgQHW2gHW2l9aa5+w1v7gbnhtU9ekOOZdeQxZfTvTKSGG837RmzuyD9XjukWkreiQ/fbqj97nsat/xf0Ts3ns6l+x+qP3g1r/lClT2LRpE9nZ2SQnJ3Pffffx6aefctxxx5GWlsawYcNYunRpzfwnnngid9xxB8cffzwpKSmMGTOGvLy8oMYk7Vt6chxzfpnF6IPTSU2I5pRB3fj7xSPokhTb/JulXfDngTWDQhFIexLlMQzslsLjv8yiospLUlw0yXH+XFcqIuK+jthvr/7ofd557GGqKpxrZQrzcnnnsYcBGDzqpKC0MXfuXD766CPmzJnDqaeeSk5ODkOHDmXu3LmcccYZvPfee4wfP57vv/+ejIwMAJ5//nneeustMjMzOfPMM5k1axZ//vOfgxKPRIYDOify0EUjKKusJiEmitQEDdpFkhZd0mqM0RXrQOfEWLqnxivJFpE2L9L77Y/mPVOTZO9VVVHOR/Oeca3NZ599lrFjxzJ27Fg8Hg+nnXYaWVlZvPnmmzXz/OpXv+Lggw8mISGBCy64gJUrV7oWj7RfnRJi6J4aryQ7ArX03jEmqFGIiIjbIrrfLsxv+JSMxsqDYePGjbz88sukpaXVvJYtW8bWrVtr5unRo0fN/xMTEykqKnItHhFpezQUKyIi7V5K13QK83IbLA8mY/Z9X8nMzGTKlCk8/vjjQW1DRCJHS0e0Dw1qFCIi4raI7rdHTbyE6Ni4OmXRsXGMmnhJUNvp3r0769evB2Dy5MksWLCAxYsXU11dTVlZGUuXLmXz5s1BbVNE2q+AEm1jTCdjzFHAQcaYk/e+XIpNRERaqaP024NHncSYK68hJT0DjCElPYMxV14TtAsh95o6dSp33303aWlpvPjii8yfP58ZM2aQkZFBZmYmM2fOxOv1BrVNEWm/jPXzISvGmEuB2UARUFLrT9ZaOyD4oQUmKyvLrlixItxhiIi0iDHmC2ttVpDrvJQ22m831mevXr2awYMHhyEiCSZtR4l0/vbZgZyj/SfgfGvtWy0PS0REQkj9tohIGAVy6kg08I5bgYiISNCp3xYRCaNAEu17gduNMS29gFJEREJL/baISBgFcurI9UAP4CZjTH7tP1hr+wQ1KhERCQb12yIiYRRIoj3ZtShERMQN7bLf9nq9eDwahG+v/L3JgkhH4Heiba39wM1AREQkuNpjv52UlEROTg7du3cnJiamzgNipO2z1pKfn098fHy4QxFpEwJ6MqQxZjgwCkin1uN8rbV3BjkuEREJgvbWbx9wwAHk5eWxceNGqqqqwh2OtEB8fDwHHHBAuMMQaRP8TrSNMVcCf8G5gv1M4C1gDDDfndBERKQ12mO/7fF46NatG926dQt3KCIirRbISXA3AWdYa88DSn3/ng9UuhKZiIi0lvptEZEwCuTUkW7W2o98//caYzzW2reMMc+5EVgoVFR52VlSQWW1l4SYKLomx4U7JBGRYIq4flvEbZXV1RQUV1JZ7SU+Oor0FOUG0nKBJNqbjTH9rLUbgLXAOcaYPKDClchcVlxexftrdjD1X19TWF7FkF6pPH5JFr3SEsIdmohIsERUvy3itvKqaj5bX8B1875kZ0klB2Yk8+SlWfTtmhTu0KSdCuTUkfuAwb7/3wU8CywB/hjsoEJhT1kl181bSWG5c7HNt1v2cNeC7ygs0y+qIhIxIqrfFnHbrpJK/t/cL9hZ4uQC63KL+P3Lq9hZou+m0jKB3N7vqVr/f8sY0xmItdYWuRGY27bvKaPaW/den19s2klpRTUp8TFhikpEJHgird8WcVtxeRWlldV1ylb+vIvKam+YIpL2LqAnAhhjuhpjphhjbrLWVgCpxph2eQ+fHqnxxETVvT/rMf27kBgbFaaIRESCL5L6bRG3JcVFk1QvD8jq24XYKD1ASVrG7z3HGDMaWANcDNzhKz4IeMSFuFyXmhDDIxcfQZekWACO6NuZ28YNJlmj2SISISKt3xZxW+fEGJ649Ei6+S6AHNIrlZkThpKWGBvmyKS9CuRiyAeBC6217xljdvrKPgOOCn5Y7kuMjWb0IRm8fd0oqr2WuBgPXZJ0ZbGIRJSI6rdF3BYbHcWRfTuz8H9HUuW1xEV7dEcyaZVAEu1+1tr3fP/fe3JzRYB1tCkxUR66peoxsSISsSKu3xZxW5RyAwmiQE46+s4Yc3q9slOBr4MYj4iIBI/6bRGRMApkVONGYKExZhGQYIz5B3C27yUiIm2P+m0RkTDye0TbWvspMBT4FngSWA9kWWs/dyk2EZHIVV0B1jY/Xyuo3xYRaYK3ynm5yO8RbWNMJ+AyYASQjHPl+inGGKy1Y1yKT0QkshTnw4ZlsHo+9D0eDj0bkjJcaUr9tohIAypLYfdm+GQ2RMXAMVdDai+IDv7dZQI5deRlIAp4DSgNeiQiIpGuogSWPwQfP+hMf/Mv+P5NGP+YWy2q3xYRqW9PDjxyLFT7ngb+5bNw9X8gLTPoTQWSaB8DpPseeCAS+YrzoKIIPNEQmwwJaeGOSNq78kL47NG6ZevedRJwd6jfFpH2oWgHVBRDVCzEJUN8J3fa8Xrh00f3JdkAlSXw1Utwwo1Bby6Qu44sAwa1tCFjTBdjzGvGmGJjzEZjzKRm5o81xqw2xmxuaZsiLVa0A16YCH8dBn8ZAm9PdRJvkVaxzodIbcY4L3e0uN9Wny0iIbNnCzxzNjw0HB48DD6cBSUF7rUXnbB/WYw7t3QMZET7UuBNY8xnwPbaf7DW3uXH+2fj3L+1OzAcWGSMWWWt/baR+f8PyAVSAohRpPWqq52fkTbXul5s1fPwi4shaWT44pL2L6EzjL4Z3rltX9nQic4vJu64lJb32+qzRcR9laXw0f2wY7Uzbb3OKXbDLoLELsFvz+OBo6+A//7T+ZURnHaGnBf8tggs0f4TkAlsAFJrlTd72bwxJgkYDxxmrS0Clhlj3gCmALc0MH9/YDJwA/B4ADGKtF51Ofz82f7lW76Efkq0pRWi42D4xdDnGFj7NvQ5FnoOc/O0pBb12+qzRSRkKkpgy3/3L89bA90PdafNlF5w1Wfw3evgiYHB2ZDc3ZWmAkm0JwIHW2u3tqCdg4Eqa+3aWmWrgNGNzP834FaauXjHGHMlcCVAnz59WhCWSANiE51vtmvfrlt+4CnhiUciS2JnSMyCA7JC0VpL+2312SISGvGdYFA25NRKto2BXiPcazMqGjr1hmOvdq8Nn0DO0V4PVDY7V8OSgT31ynbTwE+MxpjzgChr7WvNVWqtfcxam2WtzcrIcOf2WNJBHXQaHP87iEmEpHQ4Z7Zz6x+R9qWl/bb6bBEJjahoGHEJHPEr51e/1F5w4fOQ2DXckQVFICPac4E3jDF/Y/9z/ZY0894i6v5siW+6sHaB7+fK+4CxAcQlEnyJXeHEW+CYq8AACV2ce22KtC8t7bfVZ4tI6CSlw+l/ghOnOqPZiV3BExXuqIIikER77/j6jHrlFhjQzHvXAtHGmIOstT/4yobhPK2stoOAfsBHxrkKPxboZIzZBhxjrd0QQLwirROT4LxE2q+W9tvqs0UktGKTnFeE8TvRttb2b2kj1tpiY8yrwF3GmMtxrmA/Bziu3qzf4Fy4s9dxwMM4TzXLbWn7IiIdUUv7bfXZIiLBEcg52q11FZAA7ABeAH5rrf3WGDPKGFMEYK2tstZu2/sCCgCvb7o6hLH6pzgXCrdDWf1TGUVE2r3I67NF2qqSAijcBqU7wx2JBFkgp460irW2ADi3gfKPcC68aeg9S4ED3I2sBaqrIW81vH4V5H4PA8fAuFmQ0iPckYmIBEVE9dkibdnODfD6b2HzCufWn+fMhjTdlSdShCzRjiglufB09r6nFn2/wPn33L9DfP3rh0RE9rHWUlBWQFl1GbGeWDrHdybao65YpEMq2gHPXwC5a5zpnz6EFyfD5FedCwTFNYUVhZRUlgCQFJNEsksPDlPv3hLlhfs/GvTHf0NliRJtEWnShj0buPq9q/m58Ge6xnfl/hPvZ2j60HCHJSLhUFW2L8nea+sqp1xcU1BWwMzPZ7Jo/SI8xsOEgydw1fCr6BzfOehthfIc7cgRm7T/rd4yBoFGpSJKfmk+P+3+iZ8Lf2ZX2a5whyMRoKC0gP/74P/4ufBnAPLL8rl2ybXsKtf+JdIhRcVCQr3kLrm787TCDiavNI91u9aRU5TD7vLdrrb1yZZPWLh+IRZLta1m3pp5rM5f7UpbSrRbIq4TjHtgX7Kd2AXOna2feSJIbkkul71zGWe/fjZjXx3LHR/fQUFpQfNvFGlCla1izc66o1d7KvZQWtXkAxVFJFIldoXxc/bdSjY2CcY/AYkdK5/YWryVixddzLnzz+WMf53B/SvuZ2eZOxeGVnmrWJazbL/yT7d+6kp7GoJtibgkOGw8DDwVKkogLqXDHRSRrMpbxctrX2bdrnU1ZUs3L2XNzjUcm3BsGCOT9i7GE8OhXQ/lu/zvasrS4tJIiNb92kU6pKgY6DsSrv0SyoucfCK+M0RFxsNa/FFWVcYjKx9hS/GWmrLXfnyNiwZd5MqpHNGeaE7MPJGF6xfWKT++9/FBbws0ot1ysUnOY0LTB0JK9w51UES6yupKVhfs/xPS2p1rwxCNRJLO8Z2ZecJMBqYNBKBHUg9mnzKbznHB/zARkXYiJh5SekL6Qc7dy2Liwh1RSJVVlfHjrh/3K997ip0bjupxFBMOnkC0iSbGE8OvD/s1h3Q+xJW2NKItUk9CTALZA7JZ+vPSOuWjDhgVnoAkovRJ7cOcMXOo8FYQY2LoHN+ZqAh51LCISKBSYlM4s/+ZfJ33dU1ZlInisPTDXGuzc3xnbjziRn4z7DcAJMckkxiT6EpbSrRFGnBUj6O4/ojrefa7Z0mMSeSGI26gW0K3cIclEaJrQtdwhyAi0iZEeaI4a8BZ7Czbyas/vErn+M5MPXqqK6eN1JYUm0RSCB75bqy1rjcSCllZWXbFihUhb7fKW6V74EaoSm8lu8p24TEeusR3wRgT7pAkAlTv2kXFxk0UfbCUhBEjiD/0UKK7dMEY84W1Nivc8YVKuPpskbaqo+cT5VXl7KnYQ5SJoktCF1fbslVVVOXmsmfxYkx0DCmnnUp0RgbG4/8Z1f722R13i+5VlAu2GmKTIc7/m5Xnl+bz743/ZlXuKsYNGMdhXQ8jLT7NxUAl1GI8MWQkZoQ7DIkg3vJydr3+Ojv+fG9NWeo559Dj1qlhjEpE9lOcB94qiEl0/fkYBWUFLM9ZzrKcZZyYeSJH9TyKLvHuJpptUVx0HBnRofnMrdy+nZ/OPgdvcTEAeQ8/TP/5rxPTvXvQ2+q4iXZVBWz/Bt64xnn86eBsOG06JDd/ekBBWQHXv389X+Z+CcDC9Qu54YgbmHzoZGI64L0vI1VVbi7lGzbgSUggpmdPorvq535pneo9e8h7eHadsj1vvEG3310XpohEpI7qKshfC69fDbmrYeBpMHamc5GiCworCpn5+cyaO2As+mkREw6ewI1H3BiS0xraCltdTVV+ARXr1xHVqRPR3bsT3cWdLxvW62Xnc8/XJNng/NK456236XrpL4PeXsdNtEsL4OmzoMK3olfNg+hEOH0GxDZ9q62SypKaJHuvJ795kuwB2aTrNn8RoXLbNjZccCFVO3YAEH/44WQ+8gjR6Uq2pXVsZWW9Auu8RCT8SvLh6WxnRBtg9RtgvXDuI66MbJdUlrBo/aI6Za/98Bq/GfabDpVoV+bk8NOEC/Dudh5UkzhyJL3vu9e9ZLts/ydv2nJ3nsbZcW/vtydnX5K919o3wY+nERljSI1N5ZcHXsS0ITdyRuZpxEXFgU7hjQjeqioKnn6mJskGKPv6a0q/WhXGqCQSRKWk0HnKlDplSaNGYRLdudpdRAJUXrgvyd7rh3eg0r2HSiXGJHJB//P445Ab+Z9+ZxMfHe9aW21RdUkJO/76UE2SDVCybBmVmze70p7xeOh8yRSI2XcGgklIoFN2tivtddwR7aRuYEzdkaSMQRDd/P0rk2OSef3YJyh9/Gmq177JkaeMIvGca0iL0znaEaGyksqf979/Z0UDZSKB8MTH0/WyX5Nw+OEULf+YhEMPJeXUU4lOU98h0ibEJjkPkamu9ctTxiBw6RacyTHJLDhhLqVz51H9xSKyjh7BNZPmkhTj/zVj7Z2tqKBqS85+5ZXbtpMw1J02Y3r0YMAb89n54kuYKA+dJ04kKsOd88M7bqIdnwqn/BHem+b8LJTcHcbdDwnN304msbCSvN9cT8WGDU7B118Tm7cHz+9vhPiOu0ojhSchgbRJF1H47rv7CqOjSTn55PAFJRHDJqXiOeoEbL8jieoaT3VidAfuiEXamPhUGPcALLrBSbYTOjunjSS5c1poXHEFebf9iZLPPnMKvvkG1m2k8733QidXmmxzojp1Iu2CCyj9cmVNmYmPJ2Ho4a616YmPp7prbzwTf4vxQFWneGJj3LnGruP27/Gd4Mhfw9AJ+x6jnuTftxlbVLwvyfbZ/dqrpP+/K/HEd6yffCJV/JAh9HrgAQqefAJPYiLdbryR6HSdfy+t4/Vatv64i0UPf4XX6/yaNnLCQA4d2TvMkYkI4IxoDxkPA091Ti+NS4VE967NsWVl+5Jsn+KlH2BLS6FTx8i0jTEkn3QSPf74R3a+8ALRXbvQ7aabiHLxBgTFu8t5/YEv2bW9BID0zGSy/3c4iamxQW+r4yba4CTXcSkBv83E7b8horqmO6eiSESI7tSJhJNPI+OY0RggNjUeT3THvaRBgqO0sIIlz3xfk2QDLH9tHQeO0MOQRNqMuCTnFQoeDyY+vs7FeZ6kJAjgfs6RIDotjcTs84g57SwMENMpHk+Ue+tgzWfbapJsgLyfi9j0XT6DjukZ9LY6dKKdX5rPB5s/YE3BGrIPzKZPSh9S45q/qtiTlETnyZPZ+eyzvgIPPe64w9VvXxJapUUVfL7wJ75dtoXomCiOOWcABx3Znfgk3b5RWqdkd3mdaW+VpbpKdx0RaSvyS/P5dOunrNyxkjP6n8HAtIF0inNndDkqNZVu11/P9nvuqSnrdvNNRHWQ0ey9Sgor+PjlH/hhxQ7iEqM5YeLB9B3SldiE4KepXq+Xgq3F+5Xv3FbSwNyt12ET7YKyAq567yq+y/8OgFi4XNMAACAASURBVOe/f56ZJ8xkTL8xeEzT36KiUlNJv+Zq0iacT8VPG4g//DCiO3fWkwMjhLWWDV/l8fVS5+KMiqoqPpy3lp4HdlKiLa0SHeOh39B0flq1764Gad0TiYlz50IrEQnMzrKd3LrsVpZvWQ7AvDXzmHrUVC445AJXntroSUig03nnknTCKMrXrCF+8GCiunTBE9f8jRkihbfKy7cf5rD2P9sBKCuq5J053zJ5+rGuJNoej4chI3ux5pNtdcoPPjL4D6uBDp5o702y9/r7qr9zZI8j6ZrQ/Mh0dFoa0WlpxB9yiFshSphUVXhZ/2Uunbol0P/wNKqqLOv+m8/P3xeQnhn4qUYie8UlxnDixYeQlBbHpm/z6dYnlePOH+jKeYEiEriSqpKaJHuvf3z1D8b0HePaczKiUlOJSk0lrn9/V+pv68rLqtjwdR5deyeReWgqFaVe1v03nx0b99Apo+nnmrRUl55JnH7FEFa8uRFPlOHocwaQ0sWda+w6bKJtreXKgZdwbs8xeCqq2Okp5cmcV/1+f1Wll/LiSqqqvMTEeEhIjdWIdoSIivFw2OgMqivz+XrJq8TEJXDGFf9DbIJuwSatl5gax3HjB3LkuH5Ex0YRqzsVibQpF/c7n0mZ5xBVXkVhdCWPbHje1edkVFd7KSuqpKrCS3Ssh4TkGFfPT25rYuKiyBrbi4ri/9/encfHVdX/H399ZpJMMlmbbtDSlsUWaoGWRdYvmwKyCgiobAUEERX5qXz9CgoKiPgFvygqm6jIjiiyi7ghyCa7FEvpwlJauu/Z18/vj3tTJtMskyZ3Jpm8n4/HPJqce8+955yb3nxy7jn3LGHO078nWVnNkV8+hmRFdB1biWQh2+06hvFTgjfNlZRH19kxbO/wW1LFcXPKqfniqdDaSmLsWC679ZeUFvf+er/W5jbef3MNf7v1TVoa26gYVczR58+gaowWncgHsZhRlKjl7u9ftDFt/ovPcuY1N+WwVJJPCoviFBZpuIjIYFPZXszpK7dn/Xkz8ZYW4tXVXParGymNaIx2e1s7KxfW8McbZtFY20Kyoogjv7IzoyeUY7Hh0XlXUBinveUDHr328o1p8198lpk/ug6ILq4ys0gD7A7D50+mNImGFmqu+Rm0tgLQunw5a6/4X7ymtte8jfWt/OXXs2lpbANgw6pG/n7bHBpqmyMts2RHa3MzL//xgc5pTU2889qLOSqR5BNvb6du3VrWLV9G7do1tKUvyS4iOZNoaGX9ZVfi4f/LtjVrWHvxZdi6mkjO11Dbwp9ueoPG2uB89Ruaefzm/1BfM3ziiYbaGl5+pPOIgsbaGla8uyDy825YtZKa1atorOs99ttcw7ZHu3X16s6rQgJN8+fT3tREb/1MLY2ttLW0d0pbubCG9ja9OSAvxIyS0k1X5SruIk2kr1Z/sIg/XPldatesJlFaylFfu5Ctpu6Y62KJCNDe0LAxyO7QNH8+3tYWyfnaWtup39A5qK5Z3Tis4olYLE5RctOe66KS6F6xWL9hPX/95XUsePF5MGPaAZ9g/1POJFkx8E8u8q5Hu6mljZrG3nuICsaOxUo6D7IvO/BA4mW9B1NFJQUUFncOx8dNqaKgMO+ac1gqKChk908dT1HKz0flmLFMmBbRWrAybNSvX8ejP72a2jWrAWiqq+ORH/+QxtpoestENkdzazsbGlpwHz7BXodYaSnxqs7zcUr32y+yxegKCuNUjOp87BFbJokPo3UbEskk//XZmcRTVmYcPWkbqsdvFdk533nt5SDIBnBn9pN/Y9nb8yM5V171aH+wtoHrn1zAojX1nLTHRPbZbiRVya7H38SrqpjwwMO0tARvmSiItVG2RRWxkt5nuBaXFnD0V2fw11tmU7O6kS22q+SgU3cgkdSr3/JF+ajRnHHNjbz3+qsUJZNstcM0Sqt6H78v0pP29nZWL1rYKa25oZ7WpqZucohk17L1jdz8z7eZu7yG42aM5xNTxzKidPi8FaegupoJ991PU30rLc3tFBY4ydEVxMujmZhXUl7IkV+ZzuM3v8HapfWMHF/KJ8/Zadi9iWjEluP4/E9+wbuvv0LZiGq2+Mj2lFZG8wKC9vZ23p/12ibpi2bPYttddh/w8+VNoN3a5hx7/bOsrA1+YT09fxVXn7ATJ+w6gVgXEwpa2ox589t5/oG38XantCrBsd8YSyaXNV4QZ4ttKjjxwl1pa22mIFFCsYLsvBKPxykfOYqdPn5orosieSReUMCWk7dn6fy5G9OSlVUUDKN35srgtbKmic/d/DzvrQ4W7nh2wWouOHQK5+6/HYXDpIe1tRUWLoJ/3LWA9lanuKyQY762C9G82C+YkFe9ZSnHXbALrS1NFBQlKCkdfveDgqIiKkaPYfrBh0d+rlgsxuQ992HOM092St9utz2iOV8kR82Bpta2jUF2h1ueeY+19V1PKGiub+O5+xfg4VLIdeuaeOqeuTTWZzYxqW79Wl5+9F4ev+FHzH/hHzTUbOhfBUQk75WUV3Dk+f/D2O0mA0EvzqcvujSScYEifbW+vnljkN3h9ucXdvt7NB81NbTyj7veoj1crbWxtoW/3/YmDRFOTqxfv443/v4If77+amb/4zHqN6yP7FwSGL/DNHY/6jjihYUUJBLs85lTGbnVxEjOlTc92vEueq0rSwq7TIdguU/Shp+tWVK3ySTHrtStX8cfrvwuq95/D4CFs15j3bFL2fv4kygoGl6Pe0SkbyrHjOXTF15KW2srsViMZGWV3sEvg0JR4aavAqgsKezyqXC+am1q2xhkd1iztI729mjGqzfU1vDnG3/KO6+9BMDCN/7N0vlzOeScr1JcGt1kwOEuWVHJPieewm5HHQdAorSMwojit7wJtAviMfbatpp/vbMGgMK48e0jp3Y7RrusKsH4KVXssHcVpZVFLFlQS3NjLKPFI5ob6jcG2R1e/8tj7HrYpxRoi0iv1IMtg1F5cQFH7bwlj85aCkDM4LtHfZSRw2iMdmFxnPFTqpiyRyXl1UUsf6+edSvaKIjovfetTY0bg+wO8194jgNPP1uBdsQKi4spjGiSa6r8CbRjxnUn78r85bUsWlvPvtuNYmRZ9zeHwgTsfkQxf/3F1axbvoztPrYXHz/9HAoTvf9nisc3bbaiZDLSlaNERESiNCJZxGXHTOPMfbdmwYpa9tp2JKPKEsPqiUuiJMbex1by55uuZdWihWw9fTcO/sJ5JEqiCZfMYsQLCmgL1/QAiBcVYpY3I3uHvby6kqPKEuy93Ug+s/sExo8oobiLx2Admhvr+MOVl7BmyWLa21qZ/69neO73d9HS1NjreYpKSvjo/h/vlHbgzLMpqajodx1ERERyZWRpgt0mVfPZj01k0shSShN50x+Xkab6Wv5w5SWsXPgu3t7Ou6+9xN9/fT1NdXWRnK8omWSP4z7bKW2fE08hoXUb8kbe/A9yYFVNI0UFcSpKen8DSM3qVZu8Uuud115i38+cQmGi50cJxWXlHHDaWUw/+HBWvP8uE6dNp7RqBLGYllQWEZGB1dDSRm1jK8mi+LALfLOtqb5+k5cbLHz9VVqam0hEMJSjqLiEXQ87io/stgdL5r/F+O0/SvnI0ZGNF5bsy5v/sStrmnjopQV8aocyWuqceKKUWPmYbvcvraoCs06rQ46auDXxDH+4kxWVJCsqGbf91H6XXUREpCsra5r4+RPzeWreSnYeX8lFR0xlXFXv6z1stpZ6aFgPrY1QmISyMcHvymGiqLh4k6EcIydMIhaPriOtuKyc4rJyxmyzXWTnkNzJm6EjMW/jc7G/Mfr3x1B430xidx4H6z/odv9EspQDTzt743+e8pGj+MTnz9Uy2yIiMihsaGjhOw+8we3PL2Th6noembWUmbe8yKraiBY4aqqD2Q/Bbz4Jvz8dbjsa1r4XzbkGqaJkKYeccz7xgqAfsqSiksO+/HVNYJbNljc92lXFMZq2nMy8iVezomEV06unMuLNh0jsdjoUbfq4J5EsZaePH8qUvfeltamJopIkyYhWIRIREemrhpY2/jZneae0BStqqW9ui+aETRtYW1DAB8f8hEW1y9h55A6MeOsRkjNOg+TwWBm3qLiYKXvuw8SdptPa2EhRSQklCrKlH/Im0PaYsSBeykdKpjKpyGhor2HJtv/FNi2NXQbaEExqLMpgyXUREZFsixmMLk+wfMOHPdhF8RiJeDQPo9e1NzM3Uc2UxDTGFexIC428P3FvdqD39SXySbZe+ybDQ/4MHSHGpLapPHnXBzx64wIWP9/MqPgkamJ5U0URERlGqksTXHX8zhSkLBhz4RE7UJ7Beg+bI+YlfKRgZ56+dwmP3vA2856oYXxiCuvSV3cTkYzlTY+2Eef5xz5g6j6VlJSNYvHcWuY9v5ypB47NddFERET6LB4z9timmme+dRCrapsYkUxQXlxAMqI3j8TaS3nmwblM3q2C0hGjWPZ2PbOeWMqMQ7eAZCSnFMl7eRNot7W1s+P+MZ6+6/+oWb2K7ffaj+0OOZH2phiU57p0IiIifZdsr8PYQEF8DcVeTpmPAKIZL93S1MouByf5550/Y83SD9h2lz342Kdm4u15EyqIZF3e/O+JxeHRH1+68ZU8/3nyLyTKytnruM/luGQiIiKbobWZVY1ruOGNX/Hs8pf5aPX2fHP6VxgXL4TEwL8hK17UwsPXfJfmhnoA5v3raWIFhRx42hcG/Fwiw0XeDGBubW7u9N5LgHdffYG21t5XehQRERlsNjSu5fsvX8Pi+hUcM/6TGDHOe+YiVrfURHK+xtqajUF2h/deexH3lkjOJzIc5E2Pdsc7L1ONnDCJgkQiB6URERHpn0ba+crksxhj1XgshrlTH2+iqb2198yboaS8HLMY7h++ZWTkVhO7/P0qIpnJmx7tluYmdj3iUxtXsCofOZoDTj2TRIlmcIiIyNBT5sWMio/igZ/8kFsu+BL3/uASfH0LVe3R/F4rKkly4MyzsPBtXSUVlRxyznmUlFdEcj6R4SBv/kzdsGI5iWQZJ3///2hrbaFi1BgqRne/BLuIiAwx7a3Q1gKFw2P9g7amNv748x+xZsliAGrXrubB//s+M6/6eSTnSySTTDvoECbvuS8tjY0UJZMkK7VYi0h/ZK1H28yqzewBM6szs4VmdnI3+33TzP5jZjVm9q6ZfTPTczx/393cffEF3HvZRaxZunTgCi8iMsxk457dF2trl7OydgXLalezpm45zQ1rozjNoOIOK957p1NaY20NLc0RLcEOJEqSlI8cRfX4rSgbUU0sFo/sXCLDQTaHjlwPNANjgVOAG81sWhf7GTCT4P1FhwHnmVmfXh1iGFVjt+hncUVEhrWs3bN7U9OwhnhTAUtffJO3Hv0rzcvqqG9oh/aIliIfJCwWY8zW23ZKKy4rp6BIc49EhoqsBNpmVgocD1zi7rXu/gzwMHBa+r7ufrW7v+rure4+F3gI2Le3c3Qsl5pIlnLIOV+jqLjrZddFRKRn2bhn90k9PPSjy/nrL6/llUf/wF3fPp+VC+ZT31Lfe94hrLSqisO+8k1GbDk++H5ENUd//TskyrQ4hMhQka0x2lOAVnefl5L2OnBAT5nMzID9gF90s/0c4ByArcaP58yf/BKLxShMJElWDvw7RkVEhonI79kTJ07MuDD169ex4t23O6U9f99dHLvN92B0/gadsXiMqrHjOOHiK2ltbiZeWEhxaQWJ4qJcF01EMpStQLsM2JCWtp7e12y8lKDX/TddbXT3m4GbASZUV/l9P/g2TfX1zLz65xkcWkREuhH5PXv33Xf3TAvjXQwRaW/L72EjHQoTcQoTI3NdDBHZTNkao10LpL8fqALo9q37ZnYewbi/I909o5kfNatWss2M3SiI5c3LVEREciEr9+xMlY6opnr8Vp3S9jjmREor9do5ERncshWRzgMKzGyyu88P06YDs7va2cw+D1wI7O/uizM5QXFZOZ889+tM2nkGXqrebBGRfoj8nt0XlijhhG9fwZxnn2L14vfZ8aBDqBq7JbHCwoE+lYjIgMpKj7a71wH3A5ebWamZ7QscA9yRvq+ZnQJcCRzi7u+kb+9OafUo6kZP4dhb36CmKZpVs0REhoNs3LP74v2aVs66bx5VO+3LbiecznOrijjzd3NZU9ccxelERAZMNsdYfBm4BVgBrAa+5O6zzWw/4E/u3jF78QpgJPCShas8Ane6+7k9HXzO8lo+e+csYtbTXiIikqFI79l94s6L763l0Jtf2Zi0/dhyMh7kLSKSI1kLtN19DXBsF+lPE0y86fh+m/6c59O7bkVpkcZoi4j0R7bu2ZkYU1HM9mPLmbv8wyHiXz9kMiNL9fYNERnc8iYirS4t4qZTd2WPbUZSUaJxeyIi+WJUWYK7zt6Tx2cvY+6yDZy42wS2HlVKSg+6iMiglDeB9viqEg7bcctcF0NERCIwqjzBqXtNynUxRET6JJtLsIuIiIiIDBsKtEVEREREIqBAW0REREQkAgq0RUREREQioEBbRERERCQCCrRFRERERCKgQFtEREREJAIKtEVEREREIqBAW0REREQkAgq0RUREREQioEBbRERERCQCCrRFRERERCKgQFtEREREJAIKtEVEREREIqBAW0REREQkAgq0RUREREQioEBbRERERCQCCrRFRERERCKgQFtEREREJAIKtEVEREREIqBAW0REREQkAgq0RUREREQioEBbRERERCQCCrRFRERERCKgQFtEREREJAIKtEVEREREIqBAW0REREQkAgq0RUREREQioEBbRERERCQCCrRFRERERCKgQFtEREREJAIKtEVEREREIqBAW0REREQkAgq0RUREREQioEBbRERERCQCCrRFRERERCKgQFtEREREJAIKtEVEREREIqBAW0REREQkAgq0RUREREQioEBbRERERCQCCrRFRERERCKQtUDbzKrN7AEzqzOzhWZ2cjf7mZldZWarw89VZmbZKqeIiOieLSIyEAqyeK7rgWZgLDAD+KOZve7us9P2Owc4FpgOOPBX4F3gpiyWVURkuNM9W0Skn7LSo21mpcDxwCXuXuvuzwAPA6d1sfvpwDXuvtjdPwCuAc7IRjlFRET3bBGRgZKtHu0pQKu7z0tJex04oIt9p4XbUveb1tVBzewcgt4UgCYz+88AlHWoGAWsynUhsmy41Vn1zX+pdZ6Uy4KkycY9u9bMlgHr03arTEvLxc9Fehmizp/J/j3t0922vqTnut372+Z9PUZ/27yn7Zm0b1dp+lnvfZ/B9LOe2T3b3SP/APsBy9LSvgA82cW+bcAOKd9PJngcab2c4+Vs1GWwfIZbfYdjnVXf/P8M1jpn454d7ntzb2m5aKOuyhVl/kz272mf7rb1JT3X7d7fNu/rMfrb5v1t38HQ5gPR7vpZ7/2TrcmQtUBFWloFUJPBvhVArYetISIikcvWPfuRDNOyrb9l6Gv+TPbvaZ/utvUlPdftPhDn78sx+tvmPW3PtH1z3eagn/XIZSvQngcUmNnklLTpQPqkGsK06RnsJyIi0cjKPdvdN/mF11VatvW3DH3Nn8n+Pe3T3ba+pOe63Qfi/H05Rn/bvKftmbZvrtt8IMqgn/XeZSXQdvc64H7gcjMrNbN9gWOAO7rY/XbgG2Y23szGARcAt2ZwmpsHqrxDxHCrLwy/Oqu++W9Q1jlL9+xMDco2GgbU7tmnNs+NSNvdsjUiw8yqgVuAQ4DVwIXufreZ7Qf8yd3Lwv0MuAo4O8z6K+BbGjoiIpI9umeLiPRf1gJtEREREZHhREuwi4iIiIhEQIG2iIgMKWZWaWYvmlmtme2Y6/IMF2a2h5k9b2b/NLN7zKww12XKd2Y21syeM7OnzOwJM9sy12UaTszsJDNb2Z9jDPlA28yqzewBM6szs4VmdnKuy9QXZpYws1+HZa8xs3+b2eEp2z9hZm+ZWb2Z/cPMJqXlvcXMNpjZMjP7Rtqxu807GJjZZDNrNLM7U9JODtuizsweDMeJdmzr8Vr3lHcwMLPPmdmcsHxvh2Nd8/Iam9nWZvaYma0Ny32dmRWE22aY2SthmV8xsxkp+czMrjKz1eHnqnAMML3lzXL9zjOzl82sycxuTdsWyfXsLe8wUw8cCdyX64IMM4uAj7v7/sB7BBNkJVqrgP9y9wMIJh6flePyDBtmFgdOJPi532xDPtAGrgeagbHAKcCNZtblqmSDVAHBRTyAYLWii4HfhYHKKIKZ/5cA1cDLwL0peS8lWBxiEnAQ8D9mdhhABnkHg+uBlzq+Ca/bLwiWeR5L8Mv0hrT9u7zWGeTNKTM7hGDC2JlAObA/8E4eX+MbgBXAlsAMgp/vL5tZEfAQcCcwArgNeChMh2DVwGMJXhG3M3A08EWADPJm0xLgCoLJghtFfD27zTvcuHuLu/erl0n6zt2XuntD+G0z0J7L8gwH7t7m7h3tXI5ed5xNJwG/p78/51GuhhP1Bygl+M8+JSXtDuB/c122ftZrFnA8QdDxXFp9GwhXYSP4ZX9oyvbvA78Nv+4xb64/wOeA3xEED3eGaVcCd6fss114fct7u9Y95c11XcPyPAec1UV6Xl5jYA5wRMr3PyL4Q+hQ4ANSVg0E3gcOS2mnc1K2nQX8K/y6x7w5qucVwK3ZuJ495R2qH+A8gj8omlLbMdxWDTwA1AELgZO7yH8rsGOu6zHUPgPQ7pOA54HCXNdlqHz60+YEnRUvAHOBSbmuy1D6bG67A3HgYYIO6X6tHDnUe7SnAK3uPi8l7XVgKPVod2JmYwnqNZugHq93bPPg3bZvA9PMbARBb+HrKdlT695t3ijLnwkzqwAuB9IffaeX+W3C4Jrer3VPeXMqfPy0OzDazBaY2eJwKEUJeXqNgWuBz5lZ0szGA4cDjxOUbZaHd7LQLLqpE5vWt6e8g0Ek1zODvENVl08GQkP9aeVgttntHt6/7wDOcPeWLJQ1X2x2m7v7v919T4KnXRdloaz5ZHPb/VTgd/7h04TNNtQD7TJgQ1raeoIe0CHHgokldwG3uftbBPVbn7ZbR/3KUr5P30YveXPt+8Cv3X1xWnpv9e3pWg/m+o4FCoETgP0Ieid2IRgmlK/X+J8EQeAGYDFBj8KD9F7m9O3rgbJwnPZgrm+HqK5nb3mHJHe/390fJHhP90ZmVkrwVO8Sd69192cIepdOy0Ex887mtns4z+K3wGXuPjfLxR7S+tHmqUPj1hMMi5QM9eMe81Fgppk9Dkw2s59tbhmGeqBdC1SkpVUANTkoS7+YWYygl6CZ4FEH9Fy/2pTv07f1ljdnwslrBwM/6WJzb/XtqT6Dsr6hjjGNP/dgjOMq4MfAEeTnNY4R9F7fTzD8YRTBmOqr6Pt1rABqw17sQVnfNFFdz97y5pten1aa2WMEw4l+aWZnZLd4eau3dj8J2BO4xMyeNLPPZruAeai3Np9hwVte/gF8jWAYnvRfj+3u7t9y90Pd/TBgvrufv7knGuqB9jygwMwmp6RNZ4hNFgh7635N0PN5fMrjuNkE9enYr5Rg7PFsd18LLE3dTue6d5s3ompk6kBga+B9M1sG/DdwvJm9yqZl3hZIEFzn3q51T3lzKrxWi4HUIQ8dX+fjNa4GJgLXuXuTu68GfkPwh8VsYOfUN4kQTHrssk5sWt+e8g4GkVzPDPLmm16fVrr7Ee4+zt33dvdbs1m4PNZju7v7He4+0t0PDD+DZfL1UNZbm7/o7vu7+0Hufri7L816CfNTxiMi3H33/pxoSAfa4RjG+4HLzazUzPYleN3QHbktWZ/dCEwFjvYPZ3RDMEh/RzM73syKge8SjFF9K9x+O3CxmY0wsx2ALxBMDsokb67cTBA8zAg/NwF/BD5JMGzmaDPbLwwyLgfud/eaDK51t3mzWbke/Ab4qpmNCcfbfh14lDy8xmGP/bvAl8yswMyqgNMJxlM/CbQB54evq+t4evNE+O/twDfMbLyZjQMu4MP69pY3a8J6FRNMmImbWXH4WD3K69lT3nwzFJ5e5CO1e/apzXMje+0e9YzPqD8EvWcPEswafZ8uZkgP5g/B7G0HGsML3/E5Jdx+MPAWwfCDJ4GtU/ImCAb4bwCWA99IO3a3eQfLh5S3joTfnxxexzqCV7lVZ3qte8qb6w/BGO0bgHXAMuBnQHG+XmOCP6KeBNYSvAf2d8DYcNsuwCthmV8FdknJZ8DVwJrwczWd3zLSbd4c/Nx62ufSKK9nb3mH8odN397S8ZahySlptzPE3yg12D5qd7X5cPnkst0tPLiIiEhWhU8BCoDvAVsR9NK3unurmf2W4A+Yswn+cHsM2Mfd83W4TNao3bNPbZ4bg6Hdh/TQERERGdIuJui9v5DgdVoNYRrAl4ESgoWP7gG+pMBjwKjds09tnhs5b3f1aIuIiIiIREA92iIiIiIiEVCgLSIiIiISAQXaIiIiIiIRUKAtIiIiIhIBBdoy5JnZe2Z2cA7P/yUzW25mtWY2MlflEBERkcFFgbZIP5hZIfBj4FB3L/NgufGBOvaBZrZ4oI4nIiIi2aVAWyQUvti+r8YCxcCge+fpZtZHREREBogCbYlMOKTjv81slpmtN7N7zazYzM4ws2fS9nUz+0j49a1mdoOZ/SkcjvGsmW1hZtea2Voze8vMdkk73cfM7M1w+2/MrDjl2EeZ2b/NbJ2ZPWdmO6eV8VtmNguo6yo4NbNEeO4l4efaMG0KMDfcbZ2ZPdFF3j3NbJmZxVPSjgvP19OxS4E/AePCNqg1s3FmFjOzC83sbTNbbWa/M7Pq8Fhbh+14lpm9DzwRtved4b7rzOwlMxvbpwspIiIim0WBtkTtM8BhwDbAzsAZfch3MTAKaAKeB14Nv7+PYLhGqlOATwLbAVPCvIQB+S3AF4GRwC+Ah80skZL3JOBIoMrdW7soy3eAvQiWaJ0O7AFc7O7zgGnhPlXu/vH0e+fsIQAABpJJREFUjO7+AlAHpG47Gbi7l2PXAYcDS8IhKWXuvgT4KnAscAAwDlgLXJ922gOAqWF7nA5UAhPC+p9LsDKWiAxTmtcycMzsh2b2tfDrITPcz8yeNLOzM9gvEXZujc5GufKRAm2J2s/cfYm7rwEeIQgoM/GAu7/i7o3AA0Cju9/u7m3AvUB6j/Z17r4oPM8PCIJngHOAX7j7C+7e5u63EQTue6WVcZG7dxeAngJc7u4r3H0lcBlwWob1gGBp15MAzKwcOCJM25xjnwt8x90Xu3sTcClwQlpP/KXuXhfWp4UgwP5IWP9X3H1DH8ouIjJg8mleSxh8ziTowMlL4e+ZWwiWMJfNoEBborYs5et6oCzDfMtTvm7o4vv04yxK+XohQW8vwCTggnDYxDozW0fQuzuuq7xmdkrKUI0/hcnjwmN2dfxOzOzbKflvCpPvBj4d9qJ/GnjV3TuOl/GxU+rzQEpd5gBtBGPFN6kPcAfwZ+C34dCUq8NfdCIi/aJ5LZwBPNZDJ02+uBs4Pe1JsGRIgbbkQh2Q7PjGzLYYgGNOSPl6IrAk/HoR8AN3r0r5JN39npT9feMX7nelDNU4PExeQhDgdnX8Ttz9ypT854ZpbxIE0IfTedhIb8d2NrUIODytPsXu/kE39Wlx98vc/aPAPsBRBD0wIjKIdDenJdymeS2Dc17L4cBT3WzDzKaGQzTWmdlsM/tUyraRZvaImW0Iz3FF+jVO2bfbMplZdXj9loTX8sEwfYSZPWpmK8P0R81sqx7K+nkzmxPu+2cz2/h7yd0XEwxT3Ku7/NI9BdqSC68D08xsRnhzv3QAjvkVM9sqvIF+h2B4CcAvgXPDm7eZWamZHWnBEI5M3QNcbGajzWwU8F3gzj6W727g/wH7A7/P8NjLgZFmVpmy/03ADzpugmG+Y7o7qZkdZGY7hb+0NhAMJWnvY9lFJDs2d05LR17Na8nuvJad+PAPh04seHL4CPAXYExYjrvMbPtwl+vDem4RnvP0bs5BL2W6g6Djalp4np+E6THgNwQdORPD/a/rpqzHAN8meOI6GniaD4c3dphD0N7SRwq0JevCm+3lwN+A+UCXf8X30d0EN7R3gLeBK8JzvQx8geAGsxZYQN9+eREe62VgFvAGwS+vK/p4jHsIbuZPuPuqTI7t7m+F+d4JezHGAT8FHgb+YmY1wL+APXs47xYEv2Q3ENwonyK4MYvI4LO5c1pA81q6E+W8liqgppttexEMcfxfd2929yeAR4GTwo6P44HvuXt9+NTzth7q0GWZzGxLgj8uznX3teETzKcA3H21u/8hPH4NwTU+oIc2+qG7zwn/cLoSmJHaqx3Ws6qHMko39J5diYy7b532/aUpX/+A4D9+hztTtp2Rlu9XwK9Svl9Ays9uynl+2E05Hgcez6SM3ezTCJwfftK3vQdYBsd4ny7+sO3p2OH2z3eR/GM27Z3qsizhEJn0ngkRGZzS57T0NF8j3UDOazndzL6asr2IHua18OFkwKfDIXd9mtdC0JsKcGc45O5u4Dkz+xIDN68l9Uleb/NaJhDMa6ki+N30HXdv6eLYa4Huno6OAxa5e+p5FwLjCXqNC9LOm/p1ui7LFKatcfe16RnMLEnQu30YMCJMLjezePjHV6pJwE/N7JrUQ4Rl7WjrcmBdD2WUbqhHW0REZHDTvJYPDaZ5LbMIht10ZQkwwcxS46yJwAfASqAVSB0znXo9OumhTIuA6jD4TncBsD2wp7tXEAxbhK47hhYBX0xroxJ3fy5ln6kEwz6ljxRoi4iIDG6a15LZsbM9r+Uxuh+O8QLBU4n/MbNCMzsQOBr4bdijfD9wqZklzWwHepik3l2Z3H0pwQTQG8LJj4Vm1hFQlxM8yVgXXuPvdXd8gja6yMymheerNLMTU84/HqgmGKoofaRAW0REZBDTvJZBO6/lduAIMytJ3+DuzQSB9eHAKuAGYGZYRoDzCCY4LguPfw/BWPi+luk0gsD7LWAF8LUw/VqgJDz3v+hm+GRY1geAqwiGpmwA/hOWu8PJwG3hGHfpI3Pv6kmLiIiIiPTEzK4EVrj7tf08zlXAFu7e09tHsi5828zrwP7uviLX5RmKFGiLiIiIZFE4XKSIoFf+YwTDUM529wdzWjAZcHrriIiIiEh2lRMMFxlHMLb8GuChnJZIIqEebRERERGRCGgypIiIiIhIBBRoi4iIiIhEQIG2iIiIiEgEFGiLiIiIiERAgbaIiIiISAT+P5/9JhPX+0VrAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_1p1v, \n",
+ " '1p1v avg. wellfare loss vs n_voters - 1 prop8 normal-dist calibration and rest normal $\\mu=0$', \n",
+ " hue='num_issues',\n",
+ " ylim=(0,1))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### WL of Prop8 Issues"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 322,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_1p1v, \n",
+ " '1p1v wellfare loss vs n_voters - just prop8 normal-dist issue', \n",
+ " hue='num_issues',\n",
+ " ylim=(0,1.1),\n",
+ " WL_col = \"Prop8-WL\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### 1p1v wellfare loss vs number of issues"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### Avg of all issues"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 323,
+ "metadata": {
+ "code_folding": [
+ 0
+ ]
+ },
+ "outputs": [
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_issues(adf_1p1v, \n",
+ " '1p1v avg. wellfare loss vs n issues, 1 Prop8 normal-dist and rest $\\mu=0$', \n",
+ " hue='n-voters',\n",
+ " ylim=(0, 0.7))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### Just Prop8 issue"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 324,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_issues(adf_1p1v, \n",
+ " '1p1v avg. wellfare loss vs n issues, just Prop8 normal-dist', \n",
+ " hue='n-voters',\n",
+ " ylim=(0, 1.1),\n",
+ " WL_col = \"Prop8-WL\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## QV Wellfare loss"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 325,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "adf_qv = aggregate_by_num_voters_num_issues(df8_qv)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### WL vs Number of Voters"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### Avg WL of all issues"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 326,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_qv, \n",
+ " 'QV avg. wellfare loss vs n_voters - 1 prop8 calibration normal-dist and rest normal $\\mu=0$', \n",
+ " hue='num_issues',\n",
+ " ylim=(0,1))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### WL of Just Prop8\n",
+ "\n",
+ "This shows the same surprising behavior as for the flat distrubtion prop8 WL vs number of voters, but the WL peak occurs with slightly fewer voters and it happens with number of issues >= 4 intead of 6. "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 327,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_qv, \n",
+ " 'QV wellfare loss vs n_voters - just prop8 normal-dist issue', \n",
+ " hue='num_issues',\n",
+ " ylim=(0,1),\n",
+ " WL_col = \"Prop8-WL\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Wellfare vs number of issues"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### Avg of all issues\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 328,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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dXMLYGPM41ulXlJWVmcrKyt7EqJRSg46IbO3tMmw227UZGRmnjBw5ss5msw2urvp+5PP5pLm5ObO6uvrhf//739d3lGhE894l8aIRyAgpy8A6Nz8sEfkK1sXHXujDuJRSSvWS3W6/Ij8/v0kTjL5ls9mM0+lsLiwsdCckJPykw3r9GdQAsQFIEJGxQWVFtL+sbajLgBeNMY19GplSSqleMcZkOhyO0Kt0qj6SkpLSYowJvbfKIYMuyTDW5V5fBH4mIk4ROQXrEsJPhasvIilYV3Nb2G9BKqWU6inp7r2iVM/5e4w6zCUGXZLhdx3W5Wz3Yl0a9lpjzDrx31I5pO4FWJeCXtrPMSqllFJxbTAO/MRYN6u5IEz5e1gDQ4PLnsFKRJRSSinVDYO1J0MppZQ67PzgBz/IP//880fFOo4ATTKUUkopBUBbW3THzGqSoZRSSvWDgoKC4+68885h48aNm5Cenl587rnnjna5XF8apfrjH//4iLPPPrvdjUevuOKK4ZdffvlwgOrq6sTp06ePyczMLB4xYsSk+++/PxfghRdeyPjd7353xKuvvpqVmppacswxx0wAqK2ttX/rW98amZeXN3no0KGTb7zxxnyPx7qP4m9/+9uc0tLSY6+66qrhQ4YMKb755pvz165dm3TCCScck56eXpyVlVV07rnn9vgmqINyTIZSSikVCy+99FL2W2+9tTElJcV38sknH/vwww/n3nrrrTXBdS677LL9DzzwwJEHDhywZWVl+TweD0uWLMl69tlnNwPMnDlz9LHHHtu8ZMmSqjVr1iSfe+6548aOHds6c+bMhg8++GD35s2bkxYvXrwlsLxvf/vbhXl5eZ7NmzevPXjwoO3ss88e++CDD7p/+MMf7gP46KOPnDNmzNhfU1OzprW1Vb7zne8UTp8+vf7DDz/8rLW1Vd577z1nT9urPRlKKaVUP7n22mv3FBYWtg0bNsx75pln1q9ZsyYltM64cePcEyZMcD399NNZAH/7298ykpOTfaeffnrTpk2bElevXp32u9/9bntqaqqZOnVq8+zZs/f98Y9/zAm3vm3btiUsW7Ys8/HHH/8iIyPDV1BQ4Ln++uv3vPDCC9mBOnl5ee4f//jHexMTE0lLSzMJCQnmiy++SKqurk5MTU01Z511Vo+vEaVJhlJKKdVP8vPzDw16SE1N9TU1NdmnTZs2NjU1tSQ1NbXk0UcfzQaYNWvW/ueeey4b4Omnn87+7//+7/0AX3zxhSMjI8OTlZXlCyxn5MiR7l27diWGW9+mTZscHo9HjjzyyKL09PTi9PT04ptvvnlkbW3tofpHHnlku4EYv/nNb7YbYzj55JPHjxkzZuJDDz0UNoGJhB4uUUoppWJo+fLlG0PLLr300gN33XXX8M2bNye++eabQ5YtW/YpwIgRI9wNDQ0JgUMpYCUegURBRNpdTn306NFtDofD7N+/f01iYtg85EvzjBgxwvPss89uBXjzzTfTzjvvvHFnnHFG46RJk1q72zbtyVBKKaUGmPz8fM+UKVMOXnLJJYVHHXWUu7S0tAVgzJgxbcXFxY3f//73j3K5XPKvf/0r5Zlnnsm95JJLagGGDRvm2b59u8Pr9QIwcuTItlNOOaX+mmuuGb5//36b1+tl3bp1Sa+++mpaR+t+8sknszZv3pwIkJOT4xERenovGE0ylFJKqQHowgsvrP3nP/+ZMXPmzNrg8ueee+7zbdu2OY488siimTNnHl1RUbHzggsuOAhw6aWX7gfIysoqnjBhwnh//Wq32y3jx4+fNGTIkOKZM2cevWPHjvDdGsCKFSucJ5988vjU1NSSb37zm2N+/vOffzFhwgR3T9ogxuiN6qJNb/WulFLdJyKrjDFlvVlGVVVVdVFR0b5oxaS6VlVVlVtUVFQYbpr2ZCillFKqT2iSoZRSSqk+oUmGUkoppfqEJhlKKaWU6hOaZCillFKqT2iSoZRSSqk+oUmGUkoppfqEJhlKKaWU6hOaZCillFKqT2iSoZRSSg0Qc+fOzZs0adJ4h8NROmPGjMLgaS0tLXL22WePLigoOE5Ejl+yZEl6jMKMmCYZSiml1ABRUFDQVlFRsWvWrFlhL40+derUxieffHJLbm5uW7jpA82gvNW7iGQDTwBnAvuA240xizqoWwo8BJQCTcBcY8xv+itWpZRS/ePPH27N/u3bGwtqDrY68tKT3DeePnbHxSeN3N+fMVx22WV1ACtXrkzdsWOHI3hacnKyufPOO/cC2Gzx0UcwKJMM4BHADQwDioFXRaTKGLMuuJKI5AJvADcBLwAO4Kh+jlUppVQf+/OHW7PvXrJ+ZKvHZwPYe7DVcfeS9SMBopVolJeXj6msrAx7i/WysrLGpUuXborGegaSQZdkiIgTmAFMMsY0Av8QkVeAS4DbQqr/AHjTGPO0/3kr8Em/BauUUqpf/PbtjQWBBCOg1eOz/fbtjQXRSjIOxySiK/HR3xJd4wCPMWZDUFkVMDFM3ZOA/SLygYjsFZG/iciIcAsVkWtEpFJEKmtqavogbKWUUn2l5mCrozvlKjKDMclIAxpCyuqBcKN0jwIuA74PjAC2AM+EW6gx5nFjTJkxpiwvLy+K4SqllOpreelJ7u6U98S0adPGpqamloR7TJs2bWy01jOQDLrDJUAjkBFSlgEcDFO3GXjJGLMSQER+CuwTkUxjTH3fhqmUUqq/3Hj62B3BYzIAkhJsvhtPH7sjWutYvnz5xq7qtLW10dbWJl6vV7xer7hcLklMTDSJiYkANDc3izEGALfbLS6XS5KTk81AHQg6GJOMDUCCiIw1xgRe8CJgXZi6HwEm6LkJU0cppVScC4y7iPXZJRUVFfkPPvjgkYHnTqcz+6abbtr1wAMP7AQYM2bMpJ07dzoAZsyYMRbg008//fiYY46JWo9LNB3KiAYTEXkWK2G4GuvskteAqWHOLpkO/BUox0pCfgWUGWNO7Wz5ZWVlprKysi9CV0qpw5aIrDLGlPVmGVVVVdVFRUVhrzGh+kZVVVVuUVFRYbhpA7N/pe9dB6QAe7HGWFxrjFknIqeKSGOgkjHmHeBHwKv+umOA2TGIVymllIo7g/FwCcaY/cAFYcrfwxoYGlz2KPBoP4WmlFJKHTYGa0+GUkoppfqYJhlKKaWU6hOD8nDJQORr8eBzeWjb6yJxWCq2lARsyfryKKWUil/6LTYA+Nq8uKpqqHvJf8VZgaxZ40iZnIctQTublFJKxSf9BhsAfM0e6pd8/p8CA3WvbMa44uJOvkoppVRYmmQMBD6DafO1KzItXgbhJUyUUkodRjTJGAAk0Y5jZPsrnSeNHYIk6sujlFIqfum32ABgdyaSc9F4nCceQcLQVJwn55P9rWOwpybGOjSllFL9aMqUKcckJSWVBm6cVlhYOCkwbevWrYnTp08fM3To0Mkicvxnn3024O8Qq0nGAGHPcJB57mjyrjmOzK8XYk8f8PuOUkqpPnDPPfd84XK5VrtcrtXV1dVrA+U2m82ceeaZ9YsWLdocy/i6Q88uGUBsDjs47LEOQymlBqeVT2Sz7JcFNO51kDbUzWkVOzjhqn69QVpnhg8f7rnttttq2tri56QA7clQSimlVj6RzZu3j6RxjwMMNO5x8ObtI1n5RHa0VlFeXj4mPT29ONyjvLx8TKDe3XffXZCVlVVUWlp67JIlS9Kjtf5Y0J4MpZRSatkvC/C0tv/h7Wm1seyXBdHqzVi6dOmmrurce++920tKSpqTk5PNggULsi+88MIxK1asWD9x4sTWaMTQ37QnQymllGrcG34gXEflfWT69OlNWVlZvpSUFHPDDTfUlpaWNr788suZ/RlDNGlPhlJKKZU21G0dKglTHiXTpk0bW1lZmRZuWllZWePy5cs3hpaLCCaOL5qkSYZSSil1WsUO3rx9ZLtDJglJPk6r2BGtVYRLIoLt27fPvmzZMuc555xzMDEx0SxYsCB75cqVaQ8//PAXgToul0s8Ho8AtLS0iMvlktTU1AGbhWiSoZRSSgXGXcTw7BK32y0/+clPCi699NJkm81mRo8e3bJo0aLNkydPPjQew+l0lgb+Ly4ungRgjFnVXzF2lyYZSimlFFiJRgxPWc3Pz/esXbv2k87qDOSEIhwd+KmUUkqpPqFJhlJKKaX6hCYZSimllOoTOiZjgGg+2MCBXTvZ/snHDJ84mSHDjiQlPaPrGZVSSqkBalAmGSKSDTwBnAnsA243xiwKU+8u4MdA8JXWJhtjPo9mPO7mZiqXvMSKl58/VDb1WxdR9l//TWJSUjRXpZRSSvWbwXq45BHADQwDLgIeFZGJHdT9izEmLegR1QQDwN3sovJvL7UrW/HS87S6mqK9KqWUUqrfDLokQ0ScwAzgDmNMozHmH8ArwCWxiskYg8/nbVfm9Xji+ipvSiml1KBLMoBxgMcYsyGorAroqCfjGyKyX0TWici1HS1URK4RkUoRqaypqelWQInJyYydcnK7svFfOQ1HcnK3lqOUUkoNJINxTEYa0BBSVg+Eu53uc8DjwB7gROCvIlJnjHkmtKIx5nF/XcrKyrrVBZHsTOOMq+YwfOJktn60mlElZYydMpWkVGd3FqOUUkoNKIOxJ6MRCD1tIwM4GFrRGLPeGLPTGOM1xnwA/AaY2RdBpWZmUvy1r3Pujbcy+fSzSc2I25vuKaWU6qG5c+fmTZo0abzD4SidMWNGYej0xYsXp48aNWpiSkpKyYknnjhuw4YNh27qtmDBgqySkpJjU1JSSqZMmXJMvwbegcGYZGwAEkRkbFBZEbAugnkNIH0SFSA2G4lJSYj02SqUUkoNYAUFBW0VFRW7Zs2atS902q5duxIuvvjio++4446dtbW1a4qLi12zZs0aHZiem5vrmTNnzp45c+bs7t+oOzbokgxjTBPwIvAzEXGKyCnA+cBToXVF5HwRyRLLFOBGYHH/RqyUUqo//OWzv2SXP1d+3OQ/Tj6+/Lny4/7y2V+y+zuGyy67rO6SSy6py8nJ8YROe/rpp4eMGTOm5corrzyQmppq7rvvvp2fffZZ6urVq5MBLrjggoNXX331gfz8/Lb+jrsjgy7J8LsOSAH2As8A1xpj1onIqSLSGFTv28AmrEMpfwJ+aYz5Y79Hq5RSqk/95bO/ZP9q5a9G7mve5zAY9jXvc/xq5a9GRjPRKC8vH5Oenl4c7lFeXj6mq/nXrVuXMmHCBFfgeUZGhm/48OGtVVVVA/YsgcE48BNjzH7ggjDl72ENDA08/05/xqWUUio25lfNL3B73e1+eLu9btv8qvkFFx5zYVTuzLp06dJNvZm/qanJlpub266HIz093dvQ0GDvXWR9Z7D2ZCillFKH1DbXOrpTHgtOp9MXmlA0NjbaMjIyvB3NE2uaZCillBr0clJy3N0p74lp06aNTU1NLQn3mDZt2tiu5p84cWLz+vXrUwPPGxoabNu2bUsqKipqiVaM0aZJhlJKqUHve0Xf2+GwO3zBZQ67w/e9ou/tiNY6li9fvtHlcq0O91i+fPlGgLa2Nlwul3i9XvF6veJyuaStzRrHOXv27LqNGzcmL1y4cIjL5ZKKioojx40b11xSUtIC4PF4cLlc4vF4xOfz4XK5pLW1NaanK2qSoZRSatC78JgL9996wq1bc1Ny3YKQm5LrvvWEW7dGazxGpCoqKvKdTmfpvHnzjli8eHG20+ksraioyAfIz8/3PPXUU5t/+tOfFmRnZ5esWrUq7bnnnjt0P6158+bl+OuPWLVqVZrT6SydPXv2yP6MP5To/TGir6yszFRWVsY6DKWUiisissoYU9abZVRVVVUXFRV96RoTqu9UVVXlFhUVFYabpj0ZSimllOoTmmQopZRSqk9okqGUUkqpPqFJhlJKKaX6hCYZSimllOoTmmQopZRSqk9okqGUUkqpPqFJhlJKKaX6hCYZSimllOoTh1WSISKHVXuUUkoNLlOmTDkmKSmpNHDjtMLCwknB0+fPn5+dn59/XEpKSskZZ5xx9J49ew7dlXXu3Ll5kyZNGu9wOEpnzJhR2O/Bh3HYfCmLSBLQFus4eqOlqY2m+lZamuK6GUoppXrhnnvu+SJw47Tq6uq1gfLKysrkm2++eeQTTzyxZffu3VXU4QEJAAAgAElEQVQpKSm+q6666tC9SQoKCtoqKip2zZo1a8BcVj0h1gFEWUzvNtcbDfuaeedPn7BnSwNHjMlk+sXjSc9JjnVYSik1aOx/5tns2nnzCjz79jkScnPdOdddtyP7O9/u1xukdWbhwoU506dPrzvnnHMaAe69996dxcXFEw8cOGDLysryXXbZZXUAK1euTN2xY4cjttFaDpueDL+4vNubq8HNq498xI4NdXjafGz/5ACvP/YxzQfdsQ5NKaUGhf3PPJu99957R3pqahwYg6emxrH33ntH7n/m2exoraO8vHxMenp6cbhHeXn5mEC9u+++uyArK6uotLT02CVLlqQHyj/55JPkyZMnNweeT5w4sTUxMdGsXbt2wP4iPdx6MuKSp83H/l1N7cpqvjiIp80Xo4iUUmpwqZ03r8C0trb74W1aW2218+YVRKs3Y+nSpZu6qnPvvfduLykpaU5OTjYLFizIvvDCC8esWLFi/cSJE1tdLpc9MzPTG1w/LS3NW19fb+9oebEWV0mGiLxHx70VcdsrY08QkpwJtDZ5DpWlZjiw2eP26I9SSsUVz759YQ8vdFTeV6ZPn37oF+cNN9xQ+9xzz2W//PLLmRMnTtybmprqbWhoaPdd19TU9KXEYyCJqyQDWNDF9N/3SxRRluxM5GtXTOD1x9bibfOR4LBxxpUTSE5LjHVoSik1KCTk5ro9NTVfSigScnOjdtx62rRpYysrK9PCTSsrK2tcvnz5xtByEcEY67f1+PHjWz766KPUwLT169c73G63TJo0qSVaMUZbvCUZTxljen0MQUSygSeAM4F9wO3GmEWd1HcAVUC6Meao3q4/lD3BRsG4LC6++2TczR6SUhJIciZgt8dt54xSSsWVnOuu27H33ntHBh8ykaQkX8511+2I1jrCJRHB9u3bZ1+2bJnznHPOOZiYmGgWLFiQvXLlyrSHH374C4DLL7+89qtf/er4N954I23q1Kmu22+/veCss86qy8rK8gG0tbXR1tYmXq9XvF6vuFwuSUxMNImJsfvBGm9JRp2IfAAsB5YBK4wxPTnf8xHADQwDioFXRaTKGLOug/o/BGqA9A6m91qCw06aww5DkvpqFUoppToQGHcRy7NL3G63/OQnPym49NJLk202mxk9enTLokWLNk+ePLkVoKysrOXXv/711iuuuGJUXV1dwtSpUxsWLVpUHZi/oqIi/8EHHzwy8NzpdGbfdNNNux544IGd/dWGUBLohokHInIKcKr/cQqQCKzASjqWAx8YY5o7XgKIiBM4AEwyxmzwlz0F7DDG3Bam/ijgNeAHwO8j6ckoKyszlZWV3WmaUkoNeiKyyhhT1ptlVFVVVRcVFQ2Y60QMBlVVVblFRUWF4abFVU+GMeZ94H3gXhERoAiYhpV0XIfV09DVqTzjAE8gwfCrAk7roP7vgB8BnSYvSimllGovng/6ZwLDgRFA4Ipnb0cwXxrQEFJWT5hDISLyTcBujHmpq4WKyDUiUikilTU1NRGEoZRSSh3e4qonQ0RmYfVcTAOysHo1/gH8CfjYRHbspxHICCnLAA6GrMsJ/Ar4eiSxGWMeBx4H63BJJPMopZRSh7O4SjKAvwCfAL8E/mKMae3BMjYACSIy1hgTGOlbBIQO+hwLFALvWUdmcACZIrIbOMkYU92DdSullFKDRrwlGV/B6sW4EPiViGwE3vM/3jfGhB4G+RJjTJOIvAj8TESuxjq75HxgakjVtViHYwKmAg8DpVhnmiillFKqE3E1JsMY84Ex5l5jzLnAkcANwG7gCmCDiKyOcFHXASnAXuAZ4FpjzDoROVVEGv3r8hhjdgcewH7A538+YK+uppRSSg0U8daTESww8HM41mGNHCCiL39jzH7ggjDl72ENDA03z7tA1C/EpZRSSh2u4irJCBn4ORH4AutQyWPA8qAxFnHL5/FgS4irl0UppZQKK96+ze7GuujWfVhJxRcxjidqPPv307h8OU3vvUdaeTnOqVNJyI7aHYaVUkqpfhdvYzKONcZcY4z58+GUYHgbDrJn7j3suu12Gl59jZ23/JCahx7C29gY69CUUkr1o7lz5+ZNmjRpvMPhKJ0xY0Zh6PTFixenjxo1amJKSkrJiSeeOG7Dhg2HburW3Nwss2bNKkxLSyvJzc0tuuuuu4YFprW0tMjZZ589uqCg4DgROX7JkiV9dpuMYHGVZIQjIl2eUTLQ+ZpdNLz6aruyur++iK+pqYM5lFJKHY4KCgraKioqds2aNetLl0bftWtXwsUXX3z0HXfcsbO2tnZNcXGxa9asWaMD02+55Zb8zz//PGnLli0fvfXWW589/PDDR7zwwguHrgs1derUxieffHJLbm5uT+751SPxdrgkHIl1AFFht4PHc+ip2O0gh0fTlFIqHny8bHt25WvVBa56tyM10+Eu+3rhjuNOO6rfbpAGcNlll9UBrFy5MnXHjh3tbj3/9NNPDxkzZkzLlVdeeQDgvvvu2zl06NDi1atXJ5eUlLQ8//zzOfPnz6/Oy8vz5uXleS+66KKahQsX5s6cObMhOTnZ3HnnnXsBbLb+61+I+56Mw4HN6STrO99pV5Z9+eXY0sKe6KKUUirKPl62Pfv95zeNdNW7HQCuerfj/ec3jfx42faoDY4rLy8fk56eXhzuUV5ePqar+detW5cyYcIEV+B5RkaGb/jw4a1VVVXJNTU19pqamsQTTjjh0PTi4uLmDRs2dHU/rz51OPRkTIh1AL1lT0sj97prSZ9eTtOHH+I85RSSxo7Dnpoa69CUUmpQqHytusDr8bX74e31+GyVr1UXRKs3Y+nSpZt6M39TU5MtNzfXE1yWnp7ubWhosNfX19sAcnJyDl3KYciQId6mpiZ7b9bZW3GbZIhIJnAMkCYiYwPlxph3YhdVzyVkZZFw8sk4Tz451qEopdSgE+jBiLQ8FpxOp6+hoaFd0tDY2GjLyMjwZmZm+gAOHDhgT01N9QDU19fbnE5nTC8eGZdJhohcDjyCdbMzV9AkA4wON49SSinVkdRMhztcQpGa6XBHax3Tpk0bW1lZGfY4eFlZWePy5cs7vdbTxIkTmxctWpQbeN7Q0GDbtm1bUlFRUYt/HEbbihUrUr/5zW82AKxZsyZ13LhxLdGKvyfidUzGL4CZxphhxphRQQ9NMJRSSnVb2dcLd9gTbL7gMnuCzVf29cId0VrH8uXLN7pcrtXhHoEEo62tDZfLJV6vV7xer7hcLmlrs04GmT17dt3GjRuTFy5cOMTlcklFRcWR48aNay4pKWkBmDlzZu3cuXOPrKmpsa9evTr56aefzr388ssPnaXS3NwsLpdLANxut7hcLvH5fGEijZ54TTISgLdiHYRSSqnDw3GnHbX/lFljtgZ6LlIzHe5TZo3Z2t9nl1RUVOQ7nc7SefPmHbF48eJsp9NZWlFRkQ+Qn5/veeqppzb/9Kc/LcjOzi5ZtWpV2nPPPfd5YN77779/Z2FhYeuoUaMmn3HGGcfMmTNnz8yZMw9d5mHMmDGTnE5n6d69exNnzJgx1ul0lm7cuLFPDweJMaYvl98nROQHQDpwtzGmb9OwHigrKzOVlZWxDkMppeKKiKwyxpT1ZhlVVVXVRUVFX7rGhOo7VVVVuUVFRYXhpsXlmAzgJuAI4FYRqQ2eYIwZEZuQlFJKKRUsXpOMi2MdgFJKKaU6F5dJhjFmWaxjUEoppVTn4jLJABCRYuBUIJegS4sbY+6MWVBKKaWUOiQuzy4RkWuA94HpQAVwHHAz0OVlWZVSSinVP+IyyQBuBc42xnwTaPb/nQn0253llFJKKdW5eE0yhhpj3vP/7xMRmzHmdeAbsQxKKaWUUv8Rr2MytotIoTGmGtgAnC8i+4CoXf5VKaWUUr0Tr0nGr4DxQDXwM+AFwAHcGMOYlFJKKRUkLg+XGGMW+g+P4P+bBWQZYx6NZH4RyRaRl0SkSUS2isjsDurdJCKfi0iDiOwUkQdFJF4TM6WUUgPclClTjklKSipNTU0tSU1NLSksLJwUPH3+/PnZ+fn5x6WkpJScccYZR+/Zs+fQXVn37Nlj/9rXvnZ0SkpKSX5+/nHz58/PDkzbunVr4vTp08cMHTp0sogc/9lnn/XL3WXjMskAEJEcEblERG41xriBDBE5KsLZH8E6tDIMuAh4VEQmhqn3ClBqjMkAJgFFaG+JUkqpPnTPPfd8EbhxWnV19dpAeWVlZfLNN9888oknntiye/fuqpSUFN9VV101MjD96quvHuFwOMzu3bur/vCHP2z54Q9/OKKysjIZwGazmTPPPLN+0aJFm/uzLXH5q1xETgP+ClQCp2AdPhkL3EIXgz9FxAnMACYZYxqBf4jIK8AlwG3BdY0xwS+GAD70NFmllDosrfm/17I/fOGZgqa6Aw7nkCz3STO/s6P4a1/v1xukdWbhwoU506dPrzvnnHMaAe69996dxcXFEw8cOGCz2+288cYbWatWrVqXmZnpO+ussxpPP/30+ieffDKnrKxsx/Dhwz233XZbTeCOrv0lXnsyHgIuNMacDXj8Zf8CpkQw7zjAY4zZEFRWBYTryUBEZotIA7APqyfjsR5HrZRSakBa83+vZb/7x9+PbKo74ABoqjvgePePvx+55v9ey+5q3kiVl5ePSU9PLw73KC8vP/QD9u677y7IysoqKi0tPXbJkiXpgfJPPvkkefLkyc2B5xMnTmxNTEw0a9euTf7444+TEhISzOTJk1sD0ydPnuz69NNPU6IVf0/EZU8GUGiMedv/f+A2sm4ia08a0BBSVo91V9cvMcYsAhaJyFjgUmBPuHr+C4RdAzBihN6jTSml4smHLzxT4G1ra/fD29vWZvvwhWcKotWbsXTp0k1d1bn33nu3l5SUNCcnJ5sFCxZkX3jhhWNWrFixfuLEia0ul8uemZnpDa6flpbmra+vtyckJBin09nuruSZmZnexsZGOzEUrz0Z60XkrJCyM4CPI5i3EcgIKcsADnY2kzFmI7AOmNfB9MeNMWXGmLK8vLwIwlBKKTVQBHowIi3vK9OnT2/KysrypaSkmBtuuKG2tLS08eWXX84ESE1N9TY0NLT73m5qarJnZmZ609PTvU1NTe2mNTQ02NPS0tolJf0tXnsybgaWiMirQIqIPAac5390ZQOQICJj/YkDWIdB1kUwbwJwdE8CVkopNXA5h2S5wyUUziFZUbv+0rRp08ZWVlamhZtWVlbWuHz58o2h5SKCMVaH/fjx41s++uij1MC09evXO9xut0yaNKnFbrfj8Xjk448/TjruuONaAT766KOUY489tjl0mf0pLnsyjDEfApOxEoMngc+BMmPMygjmbQJeBH4mIk4ROQU4H3gqtK6IXC0iQ/3/TwBuB94OraeUUiq+nTTzOzvsiYntDjfYExN9J838zo5orWP58uUbA2eNhD6WL1++cd++ffa//vWvGS6XS9ra2nj00UezV65cmXbeeefVA1x++eW177zzzpA33ngjraGhwXb77bcXnHXWWXVZWVm+jIwM31lnnVX3ox/9KL+hocH21ltvOf/+978PufLKK2sD63e5XNLc3GwDaGlpEZfLJR3FGi1x2ZMhIpnAVUAp1hiLscDp/ozvzAgWcR1WcrIXqAWuNcasE5FTgdeNMYFM8xTgFyKSBtQAzwN3RLc1SimlYi0w7iKWZ5e43W75yU9+UnDppZcm22w2M3r06JZFixZtDgzmLCsra/n1r3+99YorrhhVV1eXMHXq1IZFixZVB+Z/4okntl500UWFw4YNKxoyZIjnvvvu+6KsrKwlMN3pdJYeam9x8SQAY8yqvmyTBLph4omIvAXYgZeAdl1BxpgnYhJUkLKyMlNZWRnrMJRSKq6IyCpjTFlvllFVVVVdVFS0L1oxqa5VVVXlFhUVFYabFpc9GcBJQK7/IlxKKaWUGoDickwG8A/g2FgHoZRSSqmOxWtPxuXAayLyL0KuW2GM+VlMIlJKKaVUO/GaZPwCGI51F9bga17E3wATpZRS6jAVr0nGt4FxxphdsQ5EKaWUUuHF65iMz4H+vcuLUkoppbolXnsyngJeEZHf8eUxGe/EJiSllFJKBYvXJGOO/+/ckHIDjO7nWJRSSikVRlwmGcaYUbGOQSmllFKdi9cxGUoppdRhZ+7cuXmTJk0a73A4SmfMmFEYOn3x4sXpo0aNmpiSklJy4oknjtuwYcOhm7o1NzfLrFmzCtPS0kpyc3OL7rrrrmGRzrtgwYKskpKSY1NSUkqmTJlyTLTao0mGUkopNUAUFBS0VVRU7Jo1a9aXLo2+a9euhIsvvvjoO+64Y2dtbe2a4uJi16xZsw4NEbjlllvyP//886QtW7Z89NZbb3328MMPH/HCCy9kRDJvbm6uZ86cOXvmzJmzO5rticvDJUoppVS0NX64M7vh7W0FvoNuhy3d4c44ffiOtJPy++0GaQCXXXZZHcDKlStTd+zY0e7W808//fSQMWPGtFx55ZUHAO67776dQ4cOLV69enVySUlJy/PPP58zf/786ry8PG9eXp73oosuqlm4cGHuzJkzG7qa94ILLjgI8MADD+RGsz3ak6GUUmrQa/xwZ3bdki0jfQfdDgDfQbejbsmWkY0f7syO1jrKy8vHpKenF4d7lJeXj+lq/nXr1qVMmDDBFXiekZHhGz58eGtVVVVyTU2NvaamJvGEE044NL24uLh5w4YNyV3NG632haM9GQPIgZYDeHweEm2JDEkeEutwlFJq0Gh4e1sBHl/7H94en63h7W0F0erNWLp06abezN/U1GTLzc31BJelp6d7Gxoa7PX19TaAnJwcb2DakCFDvE1NTfau5u1NTF3RnowBwBjD1oatXPv3a5n+/HSuf+d6th3cFuuwlFJq0Aj0YERaHgtOp9MXmhQ0NjbaMjIyvJmZmT6AAwcOHJpeX19vczqd3q7m7cuYNckYAGpbapnz9hzW1a4DoKqmiv9Z+j/UNtfGODKllBocbOkOd3fKe2LatGljU1NTS8I9pk2bNrar+SdOnNi8fv361MDzhoYG27Zt25KKiopa/OMw2lasWHFo+po1a1LHjRvX0tW80WpfOJpkDABur5utDVvblW04sAG3N2r7tlJKqU5knD58Bwk2X7vCBJsv4/ThO6K1juXLl290uVyrwz2WL1++EaCtrQ2XyyVer1e8Xq+4XC5pa7PuojF79uy6jRs3Ji9cuHCIy+WSioqKI8eNG9dcUlLSAjBz5szauXPnHllTU2NfvXp18tNPP517+eWX74tkXo/Hg8vlEo/HIz6fD5fLJa2trdLbNmuSMQAk2hLJTm4/tmhY6jASbDpkRiml+kPaSfn7h/zXqK2BngtbusM95L9Gbe3vs0sqKirynU5n6bx5845YvHhxttPpLK2oqMgHyM/P9zz11FObf/rTnxZkZ2eXrFq1Ku255577PDDv/fffv7OwsLB11KhRk88444xj5syZs2fmzJkNkcw7b968HP+6RqxatSrN6XSWzp49e2Rv2yPG6N3Ro62srMxUVlZGXN/j9fDvmn/z/Xe+T2NbIxmODB45/RGOyz0Ou61Px+QopdSAISKrjDFlvVlGVVVVdVFR0ZeuMaH6TlVVVW5RUVFhuGn6U3kASLAnUJxXzCsXvILL4yI1IZUhSUM0wVBKKRXXNMkYIBx2B3mpebEOQymllIoaHZOhlFJKqT4xKJMMEckWkZdEpElEtorI7A7q/VBE1orIQRHZIiI/7O9YlVJKqXg1WA+XPAK4gWFAMfCqiFQZY9aF1BPgUuAj4GjgLRHZZox5tl+jVUopFSmfz+cTm82mZzX0A5/PJ0CHF/QadD0ZIuIEZgB3GGMajTH/AF4BLgmta4z5lTHm38YYjzHmM2AxcEr/RqyUUqob1tbU1GT6v/xUHzHG0Nramrh169YhwD86qjcYezLGAR5jzIagsirgtM5mEhEBTgUe62D6NcA1ACNGjIhOpEoppbrF4/FcvXv37gW7d++exCD8Id2PfCJS7/V6f+vz+R7tqNJgTDLSgIaQsnogvYv57sLaYf8QbqIx5nHgcbCuk9G7EJVSSvXE8ccfvxc4L9ZxKMtgTDIagYyQsgzgYEcziMj1WGMzTjXGtPZZZK2N4G6CpDRwOPtsNUoppVR/GIxdSRuABBEJvhlNERA66BMAEbkSuA043Rizvc+iatgJf/sfeOIMePUWOLi7z1Z1OGhxtVG7o5GP393OnuoGmhv1Pi9KKTXQDLokwxjTBLwI/ExEnCJyCnA+8FRoXRG5CJgLfM0Y83no9Khp2gd/uQjWPg91X0DVInjhSnDpXVjD8Xh8bP9kPwdr95N1hIfWpno+X70bd7Mn1qEppZQKMhgPlwBcBzwJ7AVqgWuNMetE5FTgdWNMmr/ez4EcYKU17hOAPxtjvhfVaNqaYce/25dtfR/a+vQOvHGrrbkNR3Idr/3uFzQd2E+yM40zv/dD2lpzcaQM1l1aKaUGnkHXkwFgjNlvjLnAGOM0xowwxizyl78XlGBgjBlljEk0xqQFPaKbYADYEyEpZNxpShbovUvCamtp5O+/f4CmA9bNEVuaGnnrsV/jbXPFODKllFLBBmWSMeCkZMG594P4Xw6xwTd+AynZnc83aPk4sGtHu5KWxoN4PTouQymlBhLtWx4IEpLgmHPhfz62xmQMGWElHgmOWEc2INltwtBRR7N3y+ZDZWlZOSQmJsYwKqWUUqE0yRgoktKsR+ZRsY5kwHPm5PKN71fwf0/Mw/i8YOCrl15Narb2/Cil1ECiSYaKSxmZeZx3RQWtn9fjGJ5GYp4Tm45hUUqpAUWTDBV3fB4fTWtqqH8l6HDJVwrIOGMEtmTdpZVSaqDQgZ8q7hiXh4Y3q9uVNX6wA19rhzcC7DctTW3s3HiA957bwOZ/78V1UAejKqUGL/3Zp+KQwbT52hf5ABPbW8Z42nysf38n/3zR6mH56J3tjC7Jo/ziY0l26qBUpdTgoz0ZKu5Ikp3U44e1K0saMwRJjO2YjFZXG5WvVbcr+3x1DW0DoIdFKaViQXsyVNyxJSWQeVYhjqPSaFlXi2N0Js6yYdgHQm9BuM6UGPewKKVUrGiSMUC4PV4OuNpwuT04HQlkORNJtOvZEh2xpyXiPOEIUovzkAQ7YpeuZ+pjSakJFJ85gpV/23KobOSkbBKT9G2mlBqc9NNvAGjz+li19QDX/GkVB1s9ZKQk8ORlJ1AyIgu7LfZfngORMYba1lrcXjeJ3kSyk7Oxx/gU1oREOxPLssgb4uPzTW6OOMLGyMlDcST6up5ZKaUOQ5pkDAAHmtxcv2g1B1utu4g2NHu4ftFqXrn+FIZmJMc4uoHp8/rPuf7t69neuJ3clFwe+upDTMydSIItdru0p7aWPd+9EkQ4duIEPH/fzo716xj9+uvYhg6NWVxKKRUrmmQMAG6vj9qm9qc67m5owePTY/nh1DbXcvOym9neuB2Afc37uOGdG/jreX8lLzUvdoH5fLRu2ABA62efHSo2zc2xiugQT10drZ9+Sv2SV0ktLSHttNNIyMmJdVhKqcOcnl0yACQn2BmV62xXNv7IdJIS9OUJx+PzsLluc7uyA60HaPW2xCgiv8REUo4/vl2RPTsbSU2NUUAWn9tN/csv88XlV1D/wgvs+tGP2XHzLXj2H4hpXEqpw5/2ZAwAuelJPHn5CfzPs6up2l5P6YgsHrqwmJy0pFiHNiAlGsO4rHFsOLDhUFlOcg5JEtvdOWHIEPIfvJ+GTz9FMjKgpRnnsCNIyMqKaVy++npq5z+GPSuL5PHjce/YgevDD/G5miA7trEppQ5vmmQMEKNynfzhihPw+AyJNhtZTr0Da0eysXF/2W3c+K+72dKwhSOcR/DQlDvI9sb28JLP+GjwunltyQvUbN1Cek4eZ954E0O9raQmxPatlvH/rsd2/Cls29REzhEOslr2guigYqVU39IkYwDJdmrPRSR8xlD47q/5Q/HluDPySXTtJ3v5b+C8h2MaV0NdLW898hA1W61TWA/W1vDqffdw8a9+A0nOLubuOzIki7qx03h73sZDZWNKcji1ZAiayiql+pImGSru1EkmcuIt5Lz4bWjaB0kZ1H1jAYYMYtn5LwZ2bfysXVlL40HaWltjFJE/BpeXD5dsbVe2aXUtU2ceE6OIlFKDhY4sVHHH7YMb3mnj0wveYNdl/2Tzhe/yv6uH0OSNbfe/YBg66uh2ZY6UVBKTYttDJUBb65ev1eHTs5eUUn1MkwwVd1IT7aQkJXL2Exs4+bEtnP74p1TXuUmJ8b1LMpJsnHP9TQwZdiQAKRmZfOPm20hLjO2XuSPZzuTy/HZleSPSccQ4LqXU4U8Pl6i4k5GSyD3fnExhzmaWbaihdEQW//O1cbE/GychmZzqPzP7x3citgwMrTjW/wn7qEtjGpbXW0fuCTamZB/F3o9aSD8qgeEnpNOS0EAKsT29Vil1eBMzCG/eJCLZwBPAmcA+4HZjzKIw9cqBO4FS4IAxpjCS5ZeVlZnKysroBazCam3zcrDVutdLimNg3OfFW99Mwztf0LKxgcQjUxhy7igSsmM36BNgX+Muzv/bTE7OP5ny/OlsrN/AHz/5I38772WOyhwZ09iUCiYiq4wxZbGOQ0XPYO3JeARwA8OAYuBVEakyxqwLqdcEPAk8A/yof0NUXUlKtJMU40MkwdpcbdT9bQuta2sB8O5vYd+eFrK+exxJmTHsZRE7tx73A442R7Lrg4+YWjiGr3xlHvYYXoI9HtS11NHmawMgKymLBLtuL6W6a9C9a0TECcwAJhljGoF/iMgrwCXAbcF1jTErgBUickb/R6rija/NS+u62nZlnn3N4PbGKCJLhmMIBdsTefMPcw+VFZYcz7jv3RjDqAa2AwdrMC43thaQBBu1CdvIyDmClISUWIemVFwZdEkGMA7wGGM2BJVVAaf1ZqEicg1wDcCIEYL1fXQAAA/iSURBVCN6sygVp4wBe2YS3rqgU1btAjG+PHxbUxMrX3yuXVn16lUYtydGEQ1srjYXCS2JfLx0L5s+riczN5lTvlGAz+GCLE0ylOqOwXh2SRrQEFJWD6T3ZqHGmMeNMWXGmLK8vBjepEvFTmoiKecfbSUWfkmnj8CTEPsra/q84XpTBt94rIg0tlL19k5Wv7uHg7UtbP+sjpcf/Qzj1YvlKdVdg7EnoxHICCnLAA7GIBZ1GEl22PEMTyPrplKa9rpIyUnBlmLHmR7bLydbcirF5/43H/7lj4fKCsZPwiTol2Y4Xk8Cm9bsb1fW2uShqd5NWm6MgooTvtZWxG5HYnwZfTVwDMY9YQOQICJjjTGB6ywXAaGDPpXqtrS0JEgDR1YyifaB0VF4sM3gGTuFqx+Yjs3rBbuNWmOoNw6GxDq4ASghQUjPSaGpzt2uPDldL8LeEW99PS2bNtG8Zg22VCfp08tJHDYs1mGpAWBgfAr2I2NME/Ai8DMRcYrIKcD5wFOhdUXEJiLJQKL1VJJFRD9pVJcGSoIBkCA2xmcOofmZLdTP+4yGBRtJrvGRkTBwzswZSByJLZz2rdEkJv1n+xRNL8Bhj+3l4Qeypi924krKY2PayezMLKJpXyOe2v1dz6gOe4OxJwPgOqxTU/cCtcC1xph1InIq8LoxJs1fbxqwNGi+ZmAZ8NV+jFWpXskUqH212jrTBTDNHrwvbiLtluNjHNnA1ChOnM3/4pK7SrB57RibQQ5uwSvurmcehDwNDdS5nfxtwaZDw3yyj3Tyjf+XTVrns6pBYFAmGcaY/cAFYcrfg/+8L4wx72Ld+kGp+OUD9/b2Q45Mm8+6CYz6MrFjP2IKB9/dhnt9HfacFDL+ayRtOs4gLHcbVL5TQ0KijbwRGbQ0udm/q4mDDV7Sjoh1dCrW9F2j1OHOLiQVZtC6uf5QkSTZsSXp4ZJwUvHRsGw7zR/uBcDb4KZ2wXqGfr84xpENTB67UHBMOiddkMe2datJy84jLXssDKBDhip2dC9Q6jBnT00ka+Y4Eo+yOunsmQ5yL5+ILTUxxpENTKbFS+vaA+3Lmj146nVMRjgJqf+/vfsPsqus7zj+/uyvbLKbsISEhCAmIgRoMiS0okxbSkakCCJS03HASEmnlorFTgp0oDQ4GEMt04pYkSKKBEQsaMEiimMtdkqov6Il6VBDhCQ2IYkhmIRsfv/49o/nWbx7udnsJjl7TtjPa+ZM7j33nHM/997N3u8+z3PO08LEqc3seGktk6f8JuOPO54Ny39CR5dPkTa3ZJgNCS1HtzNm9hRiT6Am0dTZiprcE9iImptoOaadXVt6j8Fo6fSY70b2bN9NR+tItGgzW9eshBYxacZUd8cZ4JYMsyGjubONlq5hNI9qc4HRh9ajhnPUxSei9l93J404+zho86/LRlrVxM7vv8zuNVvTij3B9u+upU2+Dou5JcPM7DXaxnVw7Jwz2Lt5J80dbai9iZbO9rJjVVKb2ti8ettr1u/buAs88HPIc5FhZlZHzU20dg2ntctzlRyI2ltoP7mL7vU1hYagbbxPYDV3l5iZ2SFoam1i5IwTaD9tNAiaOloZ/f5TaRrhv2HNLRlmZnaImke2Mfp9k9P1V0iFhnwKq+Eiw8zMDoOm4a3g3iWr41LTzMzMCuEiw8zMzArhIsPMzMwK4SLDzMzMCuEiw8zMzArhIsPMzMwK4SLDzMzMCuEiw8zMzArhIsPMzMwK4SLDzMzMCuEiw8zMzArhIsPMzMwKMSSLDEmjJT0qaaukX0h6/362k6RbJb2cl1slabDzmpmZHYmG6iysnwV2AeOA6cA3JS2OiGfrtrsSuASYBgTwb8AK4K5BzGpmZnZEGnItGZI6gJnATRHRHRELgceAyxtsfgXwyYhYHREvAp8EZg9aWDMzsyPYUGzJmAzsiYhlNesWA+c02HZKfqx2uymNDirpSlLLB0C3pOcOMt8YYMNB7lu0qmZzroFxroFxroE5lFwTD2cQK99QLDI6gVfq1m0GRu5n281123VKUkRE7YYRcTdw96GGk7QoIt5yqMcpQlWzOdfAONfAONfAVDWXlWPIdZcA3cCounWjgC392HYU0F1fYJiZmdlrDcUiYxnQIunkmnXTgPpBn+R10/qxnZmZmdUZckVGRGwFHgHmSeqQ9DvAe4AvNdj8fuAaScdLmgBcCywoOOIhd7kUqKrZnGtgnGtgnGtgqprLSqCh2PIvaTTwReA84GXghoh4UNLZwBMR0Zm3E3Ar8MG86xeA691dYmZmdmBDssgwMzOz4g257hIzMzMbHC4yzMzMrBAuMipC0jBJ9+S5VLZIekbSBWXnApD0gKS1kl6RtEzSBw+81+CQdLKkHZIeKDtLD0n/kTN15+VgL8x22Em6VNLP8rw9L+RxSGXm6a5b9kr6TJmZekiaJOlbkjZKWifpDkmlX1tI0mmSnpS0WdLzkv6gpBxXS1okaaekBXWPnStpqaRtkr4nyRfZGqJcZFRHC7CKdOXRo4C5wMOSJpWYqccngEkRMQq4GJgv6bdKztTjs8CPyw7RwNUR0ZmXU8oOAyDpPNJA5j8mXXzu94DlZWaqeY86gfHAduCrZWaqcSewHjiONMfROcCHywyUi5x/BR4HRpOuMvyApMklxFkDzCcNon+VpDGkM/huImVcBDw06OmsElxkVEREbI2ImyNiZUTsi4jHSZOxlf5lHhHPRsTOnrt5eXOJkYD0VzmwCfj3srMcIT4GzIuIH+SfsRfznDxVMZP0pf5U2UGyNwEPR8SOiFgHfJv9TCswiE4FJgCfioi9EfEk8DSN514qVEQ8EhFfJ52hV+u9wLMR8dWI2AHcDEyTdOpgZ7TyucioKEnjSPOsVOLiX5LulLQNWAqsBb5Vcp5RwDzgmjJz9OETkjZIelrSjLLDSGoG3gKMzU3sq3Pz//Cys9W4Ari/QqeI3w5cKmmEpOOBC0iFRtUImFp2iBq95nzK1yZ6gfILNCuBi4wKktQKfBm4LyKWlp0HICI+TGpiP5vUFLqz7z0K93HgnohYXXKORq4HTgSOJ12Y6BuSym75GQe0An9I+gynA2eQuuVKl/vszwHuKztLjf8kfTG+AqwmNft/vdRE8BypteevJLVK+n3S+zai3Fi91M/5BPufH8pe51xkVIykJtLVR3cBV5ccp5fcPLsQeANwVVk5JE0H3gF8qqwMfYmIH0bElojYGRH3kZqzLyw51vb872ciYm1EbABuo/xcPS4HFkbEirKDwKv/D79NKqg7SDOLHk0a01KaiNgNXAK8C1hHugrxw6QiqCoGMj+Uvc65yKiQfIXRe0h/dc7Mv1CqqIVyx2TMACYB/ydpHXAdMFPST0vM1JcgNWmXFyBiI+mLqLYroirdEgB/RLVaMUYDbwTuyMXiy8C9VKAoi4glEXFORBwTEeeTWs1+VHauGr3mfJLUQfp9UYmuXxtcLjKq5Z+A04B3R8T2A208GCQdm0977JTULOl84DLKHWx5N+mX1vS83AV8Ezi/xEwASOqSdL6kdkktkmaRzuKoQl/+vcBH8md6NPCXpLMUSiXpt0ldS1U5q4Tc0rMCuCp/jl2kMSNLyk0Gkk7PP18jJF1HOvtlQQk5WiS1A81Ac8/PPPAoMFXSzPz4R4ElVen6tcHlIqMicp/0n5G+NNfVXDdgVsnRgtQ1shrYCPwDMCciHistUMS2iFjXs5CaZ3dExEtlZarRSjqt7yVgA/AR4JKIWFZqquTjpNN9lwE/A/4buKXURMkVwCMRUbXm9PcC7yR9ls8Du0mFWdkuJw2+Xg+cC5xXc/bXYJpL6oa7AfhAvj03/z+cSfrZ2gi8Dbi0hHxWAZ67xMzMzArhlgwzMzMrhIsMMzMzK4SLDDMzMyuEiwwzMzMrhIsMMzMzK4SLDDMzMyuEiwyzipC0UtI7Snz+qyT9Ml+f5ZgGj98l6aYyspnZkaml7ABmVr48Kd9twFkRsbjRNhHxocFNZWZHOrdkmL3O5Es7D9Q4oB3PL2Fmh5GLDLMDyN0Y10laImmzpIfyPA2zJS2s2zYknZRvL5B0p6QnchfE05LGS7pd0kZJSyWdUfd0Z0r63/z4vXnuh55jXyTpGUmbJP2XpNPrMl4vaQmwtVGhIWlYfu41ebk9r5tMmkIcYJOkJ/fzPiyQND/fHiPp8ZzlV5KeyjOXknO8KGmLpOcknVu/f74/Q9LqmvsTJP2LpJckrZD0FzWPvVXSIkmv5C6d2/r+1MysClxkmPXP+0jzWLwJOB2YPYD95pKmCt8JfB/4ab7/NVIXRa1ZpIne3gxMzvuSi5Evkua3OQb4HPCYpGE1+15GmgK8KyL2NMjyN8BZpPlxpgFvJc01sQyYkrfpioi39+N1XUuaz2YsqRXkRiAknQJcDZwZESPza1l5oIPlAuUbwGLSZGnnAnPyhHwAnwY+HRGjSO/Nw/3IaGYlc5Fh1j//GBFrIuJXpC/D6f3c79GI+ElE7CDNTrkjIu6PiL3AQ0B9S8YdEbEqP88tpMIB4ErgcxHxw4jYGxH3kYqWs+oyrupjBt9ZwLyIWJ8nsfoYabKtg7GbNPvnxIjYHRFPRZoIaS8wDPgNSa0RsTIiXujH8c4ExkbEvIjYFRHLgc/z64m1dgMnSRoTEd0R8YODzG1mg8hFhln/rKu5vQ3o7Od+v6y5vb3B/frjrKq5/QtgQr49Ebg2d09skrQJOKHm8V77SppVM5PvE3n1hHzMRsfvRdKNNfvf1WCTvyfNTPodScsl3QAQEc8Dc4CbgfWS/llSw+eoMxGYUPf6biS1kgD8CallZ6mkH0u6qB/HNLOSucgwO3hbgRE9dySNPwzHPKHm9huBNfn2KuCWiOiqWUZExFdqtn91SuWI+HJEdOblgrx6DenLvNHxe4mIv63Z/zVnlUTEloi4NiJOBC4GrukZexERD0bE7+bnCuDWvFuv9wuofb9WASvqXt/IiLgwH/PnEXEZcGw+3tckdTTKbmbV4SLD7OAtBqZImp4HaN58GI7555LeIGk0aQzFQ3n954EPSXqbkg5J75I0cgDH/gowV9JYSWOAjwIPHEzIPAj1JEkCNpO6SfZJOkXS2/NYkR2k1pp9ebdngAsljc4F2ZyaQ/4I2JIHjQ6X1CxpqqQz8/N9QNLYiNgHbMr77MPMKs1FhtlBygMm5wHfBX4OLOx7j355EPgOsBx4AZifn2sR8KfAHcBGUlfF7AEeez6wCFgC/A9pAOr8PvfYv5NJr7ubNJj1zoj4Hmk8xt8BG0hdTMcCf533+RKpMFtJeo09BRR5jMpFpLEuK/L+XwCOypu8E3hWUjdpEOilfYw9MbOKUBqrZWZmZnZ4uSXDzMzMCuEiw8zMzArhIsPMzMwK4SLDzMzMCuEiw8zMzArhIsPMzMwK4SLDzMzMCuEiw8zMzArx/1DTA7RUd/7vAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_issues(adf_qv, \n",
+ " 'QV avg. wellfare loss vs n issues, 1 Prop8 normal-dist and rest $\\mu=0$', \n",
+ " hue='n-voters',\n",
+ " ylim=(0, 0.7))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### Just Prop8 issue"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 330,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_issues(adf_qv, \n",
+ " 'QV avg. wellfare loss vs n issues, just Prop8 normal-dist', \n",
+ " hue='n-voters',\n",
+ " ylim=(0, 1.1),\n",
+ " WL_col = \"Prop8-WL\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "# Wellfare loss of QV and 1p1v in multi-issue voting --all issues with Prop8 Calibration using flat distributions"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "## Dataframe prep\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 340,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": [
+ "df_all_prop8 = load_csv_to_dataframe('2020.02.22-multi-issue-QV-non-strategic-voting-all-issues-prop8-flat-dists.csv')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 341,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": [
+ "df8_qv = df_all_prop8[df_all_prop8['QV?'] == True]\n",
+ "df8_1p1v = df_all_prop8[df_all_prop8['QV?'] == False]"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "## 1p1v Wellfare loss"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 348,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": [
+ "adf_1p1v = aggregate_by_num_voters_num_issues(df8_1p1v)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "### 1p1v avg wellfare loss vs number of voters"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 349,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_1p1v, \n",
+ " '1p1v avg. wellfare loss vs n_voters - all prop8', \n",
+ " hue='num_issues',\n",
+ " ylim=(0,1))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "### 1p1v avg wellfare loss vs number of issues"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 346,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_issues(adf_1p1v, \n",
+ " '1p1v avg. wellfare loss vs n issues, all Prop8', \n",
+ " hue='n-voters',\n",
+ " ylim=(0, 1.1))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "## QV Wellfare loss"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 347,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": [
+ "adf_qv = aggregate_by_num_voters_num_issues(df8_qv)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "### QV avg wellfare loss vs number of voters"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 350,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_qv, \n",
+ " 'QV avg. wellfare loss vs n_voters - all prop8', \n",
+ " hue='num_issues',\n",
+ " ylim=(0,1))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "### 1p1v avg wellfare loss vs number of issues"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 351,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_issues(adf_qv, \n",
+ " 'QV avg. wellfare loss vs n issues, all Prop8', \n",
+ " hue='n-voters',\n",
+ " ylim=(0, 1.1))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.8.3"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/data-analysis/analysis-for-css2020/Jacob - QV vs 1p1v (on single referendum).ipynb b/data-analysis/analysis-for-css2020/Jacob - QV vs 1p1v (on single referendum).ipynb
new file mode 100644
index 0000000..6d5efc0
--- /dev/null
+++ b/data-analysis/analysis-for-css2020/Jacob - QV vs 1p1v (on single referendum).ipynb
@@ -0,0 +1,3152 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import pandas as pd\n",
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "import seaborn as sns\n",
+ "\n",
+ "\n",
+ "import matplotlib \n",
+ "font = {'size' : 12}\n",
+ "matplotlib.rc('font', **font)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Wellfare Loss - Single Normal Distribution $\\mu=0$ "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## The data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 41,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " [run number] \n",
+ " number-of-voters \n",
+ " minority-fraction \n",
+ " majority-mean-utility \n",
+ " majority-utility-stdev \n",
+ " minority-mean-utility \n",
+ " minority-utility-stdev \n",
+ " marginal-pivotality \n",
+ " variance-of-pp \n",
+ " limit-votes? \n",
+ " ... \n",
+ " voting-mechanism \n",
+ " [step] \n",
+ " mean payoff-sign-list \n",
+ " mean payoff-list \n",
+ " standard-deviation payoff-list \n",
+ " mean vote-sum-list \n",
+ " standard-deviation vote-sum-list \n",
+ " mean mean-median-same-sign-list \n",
+ " wellfare-loss \n",
+ " color \n",
+ " \n",
+ " \n",
+ " \n",
+ " \n",
+ " 0 \n",
+ " 2 \n",
+ " 10 \n",
+ " 0 \n",
+ " 0 \n",
+ " 3 \n",
+ " 10 \n",
+ " 1 \n",
+ " 0.5 \n",
+ " 0.0003 \n",
+ " False \n",
+ " ... \n",
+ " QV \n",
+ " 1000 \n",
+ " 0.985 \n",
+ " 7.511402 \n",
+ " 5.709273 \n",
+ " -0.016389 \n",
+ " 4.718080 \n",
+ " 0.824 \n",
+ " 0.015 \n",
+ " blue \n",
+ " \n",
+ " \n",
+ " 1 \n",
+ " 1 \n",
+ " 10 \n",
+ " 0 \n",
+ " 0 \n",
+ " 3 \n",
+ " 10 \n",
+ " 1 \n",
+ " 0.5 \n",
+ " 0.0003 \n",
+ " False \n",
+ " ... \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.780 \n",
+ " 5.425746 \n",
+ " 7.052433 \n",
+ " 0.006000 \n",
+ " 3.086339 \n",
+ " 0.823 \n",
+ " 0.220 \n",
+ " blue \n",
+ " \n",
+ " \n",
+ " 2 \n",
+ " 3 \n",
+ " 10 \n",
+ " 0 \n",
+ " 0 \n",
+ " 3 \n",
+ " 10 \n",
+ " 1 \n",
+ " 0.5 \n",
+ " 0.0010 \n",
+ " False \n",
+ " ... \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.763 \n",
+ " 5.339738 \n",
+ " 7.693429 \n",
+ " -0.214000 \n",
+ " 3.167371 \n",
+ " 0.800 \n",
+ " 0.237 \n",
+ " blue \n",
+ " \n",
+ " \n",
+ " 3 \n",
+ " 5 \n",
+ " 10 \n",
+ " 0 \n",
+ " 0 \n",
+ " 3 \n",
+ " 10 \n",
+ " 1 \n",
+ " 0.5 \n",
+ " 0.0100 \n",
+ " False \n",
+ " ... \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.799 \n",
+ " 6.065235 \n",
+ " 7.439300 \n",
+ " -0.032000 \n",
+ " 3.227599 \n",
+ " 0.828 \n",
+ " 0.201 \n",
+ " blue \n",
+ " \n",
+ " \n",
+ " 4 \n",
+ " 4 \n",
+ " 10 \n",
+ " 0 \n",
+ " 0 \n",
+ " 3 \n",
+ " 10 \n",
+ " 1 \n",
+ " 0.5 \n",
+ " 0.0010 \n",
+ " False \n",
+ " ... \n",
+ " QV \n",
+ " 1000 \n",
+ " 0.976 \n",
+ " 7.424793 \n",
+ " 5.644016 \n",
+ " 0.241649 \n",
+ " 4.678708 \n",
+ " 0.819 \n",
+ " 0.024 \n",
+ " blue \n",
+ " \n",
+ " \n",
+ "
\n",
+ "
5 rows × 21 columns
\n",
+ "
"
+ ],
+ "text/plain": [
+ " [run number] number-of-voters minority-fraction majority-mean-utility \\\n",
+ "0 2 10 0 0 \n",
+ "1 1 10 0 0 \n",
+ "2 3 10 0 0 \n",
+ "3 5 10 0 0 \n",
+ "4 4 10 0 0 \n",
+ "\n",
+ " majority-utility-stdev minority-mean-utility minority-utility-stdev \\\n",
+ "0 3 10 1 \n",
+ "1 3 10 1 \n",
+ "2 3 10 1 \n",
+ "3 3 10 1 \n",
+ "4 3 10 1 \n",
+ "\n",
+ " marginal-pivotality variance-of-pp limit-votes? ... voting-mechanism \\\n",
+ "0 0.5 0.0003 False ... QV \n",
+ "1 0.5 0.0003 False ... 1p1v \n",
+ "2 0.5 0.0010 False ... 1p1v \n",
+ "3 0.5 0.0100 False ... 1p1v \n",
+ "4 0.5 0.0010 False ... QV \n",
+ "\n",
+ " [step] mean payoff-sign-list mean payoff-list \\\n",
+ "0 1000 0.985 7.511402 \n",
+ "1 1000 0.780 5.425746 \n",
+ "2 1000 0.763 5.339738 \n",
+ "3 1000 0.799 6.065235 \n",
+ "4 1000 0.976 7.424793 \n",
+ "\n",
+ " standard-deviation payoff-list mean vote-sum-list \\\n",
+ "0 5.709273 -0.016389 \n",
+ "1 7.052433 0.006000 \n",
+ "2 7.693429 -0.214000 \n",
+ "3 7.439300 -0.032000 \n",
+ "4 5.644016 0.241649 \n",
+ "\n",
+ " standard-deviation vote-sum-list mean mean-median-same-sign-list \\\n",
+ "0 4.718080 0.824 \n",
+ "1 3.086339 0.823 \n",
+ "2 3.167371 0.800 \n",
+ "3 3.227599 0.828 \n",
+ "4 4.678708 0.819 \n",
+ "\n",
+ " wellfare-loss color \n",
+ "0 0.015 blue \n",
+ "1 0.220 blue \n",
+ "2 0.237 blue \n",
+ "3 0.201 blue \n",
+ "4 0.024 blue \n",
+ "\n",
+ "[5 rows x 21 columns]"
+ ]
+ },
+ "execution_count": 41,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df = pd.read_csv('2020.01.31 - QVoting-NormalizedPivotality 1p1v-vs-QV-mean=0-agg.csv')\n",
+ "\n",
+ "def color(x):\n",
+ " if x == 3:\n",
+ " return 'blue'\n",
+ " else:\n",
+ " return 'orange'\n",
+ "\n",
+ "df['wellfare-loss'] = 1 - df['mean payoff-sign-list']\n",
+ "df['color'] = df['majority-utility-stdev'].apply(color)\n",
+ "df.rename(columns={'variance-of-perceived-pivotality': 'variance-of-pp'}, inplace=True)\n",
+ "df[0:5]"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Wellfare loss of 1p1v vs number of voters"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "mean wellfare loss: 0.2083770833333333\n"
+ ]
+ }
+ ],
+ "source": [
+ "adf = df[(df['voting-mechanism'] == \"1p1v\")].groupby(['number-of-voters', 'majority-utility-stdev']).aggregate('mean').reset_index()\n",
+ "adf['utility-stdev'] = adf['majority-utility-stdev'].apply(lambda n: '=' + str(n))\n",
+ "\n",
+ "ax = sns.scatterplot(x=\"number-of-voters\", \n",
+ " y=\"wellfare-loss\", \n",
+ " hue='utility-stdev',\n",
+ " data = adf)\n",
+ "ax.set(xscale=\"log\", \n",
+ " ylim= (0, 0.25),\n",
+ " xlabel = \"number-of-voters (log scale)\")\n",
+ "\n",
+ "plt.plot([0, adf['number-of-voters'].max()], [adf['wellfare-loss'].mean()] * 2, 'k--', linewidth=1)\n",
+ "plt.title(\"1p1v wellfare loss vs n-voters, $\\mu=0$\")\n",
+ "plt.show()\n",
+ "print(\"mean wellfare loss: {}\".format(adf['wellfare-loss'].mean()))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "## Wellfare loss of QV vs N Voters"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "### Wellfare loss vs number of voters for several marginal pivotalities"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 84,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "pdf = df[(df['voting-mechanism'] == 'QV') & (df['variance-of-pp'].isin([0, 0.01, 0.04, 0.083]))]\n",
+ "\n",
+ "ax2 = sns.lmplot(x=\"number-of-voters\", \n",
+ " y=\"wellfare-loss\", \n",
+ " hue='variance-of-pp',\n",
+ " data = pdf)\n",
+ "\n",
+ "ax2.set(xscale=\"log\", \n",
+ " ylim= (0, 0.25),\n",
+ " xlabel = \"number-of-voters (log scale)\")\n",
+ "\n",
+ "plt.title('QV wellfare loss vs n voters, $\\mu=0$')\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "### Wellfare loss vs number of voters for each marginal pivotality"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 129,
+ "metadata": {
+ "hidden": true,
+ "scrolled": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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y6dtLui2VebWkDVu5DWZm1r+WBRJJo4BzgYOBXYCjJe1Sle1+4DjgihpFPBMRu6XPobn0s4CzI2JH4FHg+KZX3szMCmvlFcleQF9ELI2I54CrgBn5DBGxLCLuAtYWKVCSgDcB16akS4DDmldlMzMbqFYGkknAA7n55SmtqI0k9Uq6VVIlWGwJPBYRaxqVKWlmWr935cqVA627mZkVNLrdFejHdhGxQtIOwM2SFgGri64cEbOB2QA9PT3RojqamY14rbwiWQFsm5ufnNIKiYgV6d+lwDxgd2AVMEFSJQAOqEwzM2u+VgaS+cC01MtqQ+AoYE6DdQCQtLmksWl6K2Af4J6ICOAWoNLD61jgB02vuZmZFdayQJLuY5wEzAXuBa6JiMWSTpd0KICkPSUtB94FfEvS4rT6q4BeSXeSBY4zI+KetOxTwMmS+sjumVzQqm0wM7PGlJ3kD289PT3R29vb7mqYmXUVSQsioqdRPj/ZbmZmpTiQmJlZKQ4kZmZWigOJmZmV4kBiZmalOJCYmVkpDiRmZlaKA4mZmZXiQGJmZqU4kJiZWSkOJGZmVooDiZmZleJAYmZmpTiQmJlZKZ38ql0r4bo7VvCVuUt48LFn2GbCOE45aCcO273m6+3NzEpxIBmGrrtjBZ/+3iKeef4FAFY89gyf/t4iAAcTM2s6N20NQ1+Zu2RdEKl45vkX+MrcJW2qkZkNZ74iGYYefOyZAaWbFeUmU6ulpVckkqZLWiKpT9KsGsv3k3S7pDWSDs+l7ybp15IWS7pL0pG5ZRdL+oOkhemzWyu3oRttM2HcgNLNiqg0ma547BmCF5tMr7tjRburZm3WMJBI+g9Jm0kaI+kmSSslvafAeqOAc4GDgV2AoyXtUpXtfuA44Iqq9KeB90XErsB04D8lTcgtPyUidkufhY3qMtKcctBOjBszar20cWNGccpBO7WpRo1dd8cK9jnzZraf9SP2OfPmYXtw6ubtdJOp1VPkiuQtEfE4cAiwDNgROKXAensBfRGxNCKeA64CZuQzRMSyiLgLWFuV/ruI+H2afhB4CJhY4DuN7Ib6l9/xGiZNGIeASRPG8eV3vKZjmyBGyplut2+nm0ytniL3SCp53gp8JyJWSypS9iTggdz8cmDvgVUPJO0FbAjcl0s+Q9LngZuAWRHxbI31ZgIzAaZMmTLQr+16h+0+qSMDR6029v7OdDtxGwar27dzmwnjWFEjaLjJ1Ipckfy3pN8CewA3SZoI/LW11cpI2hq4DHh/RFSuWj4N7AzsCWwBfKrWuhExOyJ6IqJn4sTuupjp5uaP/tQ7I691cILOOtNtxj7p9jP6bmwytaHRMJBExCzg9UBPRDwPPEVVE1UdK4Btc/OTU1ohkjYDfgR8JiJuzdXnT5F5FriIrAlt2Oj25o/+1DsjH1XnCrdTznSbtU+6vRNEtzWZ2tApcrP9XcDzEfGCpM8C3wa2KVD2fGCapO0lbQgcBcwpUqmU//vApRFxbdWyrdO/Ag4D7i5SZrfohhuagz07r3fm/UJER5/pNmuf+IzehqsiTVufi4gnJO0LvBm4APhmo5UiYg1wEjAXuBe4JiIWSzpd0qEAkvaUtBx4F/AtSYvT6kcA+wHH1ejme7mkRcAiYCvgi4W3tgt0evPHdXes4JTv3Lne2fkp37mzUDCpd+ZdObPt1DPdZu2Tbj+jH85Xy1ZOkZvtlVOxtwKzI+JHkgodvCPieuD6qrTP56bnkzV5Va/3bbIrn1plvqnId3erTr+hedqcxTy/NtZLe35tcNqcxQ0PiKcctNN6Q7fAi2fkndo5AJq7Tzp5Oxvp9s4C1jpFrkhWSPoWcCRwvaSxBdezQej05o/Hnnl+QOl53XpG3u590imdLzr9atnap8gVyRFkDwV+NSIeS/coijxHYoNQOagO12EouvGMvJ37pJMG4Oz0q2Vrn4aBJCKelnQfcJCkg4BfRMQNra/ayNXJB9vNNx7Do0+/9Opj843HtKE2Q6dd+6STmpP6a5q0ka1Ir62PApcDL0+fb0v6cKsrZp3p1LftyphR63fXHTNKnPq2XdtUo+Gtk5qTurVp0lqvSNPW8cDeEfEUgKSzgF8DX2tlxawzDfemt07TzuakeiP9el9btSKBRLzYc4s0XWiMFBuefDAZOu1qTuqkezPW+YoEkouA2yR9P80fRvYsiVnTFH3PxUh7H0a7rgA76d6Mdb4iN9v/n6R5wL4p6f0RcUdLa2Vt0a6DdNGz35F6ltyOK8B645/VS7faRsqJT91AImmL3Oyy9Fm3LCIeaV21bKi18yBd9OzXZ8mtUetgN0rihYiX5K03Lpq91Eg68envimQBELx4P6Tyv0ppeocW1suGWDsP0kV7JnVSD6bhot7BrlYQAeqm20uNpBOfuoEkIrYfyopYe7XzIF20Z1In9mDqdv2NyFwraEzyw4eFjaQTHw91YkB7hzgvOgRJu4YqGc6DFXbriMzdoJ1/U0M9rI4DiQHtHU+q6INu7XogrhuG9h+sbh2RuRucctBONR/eHY4nPkW6/9oI0O4HDYv2TGpHD6ZmNlF0WhNZt47I3DWqWweH4BZTO+7NFAok6V0k0yLiovSq3U0j4g8tqZG1TbMOHJ12sCyrWfdmOrEXT7tPIIazr8xdUvOVC62+2d6OezMNA4mkU4EeYCeyhxPHkL0rZJ+W1cq6ViceLMtq1tPlndqLp+wJxHA7cWiWdt1sn1BnYNUJLRxYtcgVyduB3YHbASLiQUkva1mNrKt16sGyjGadtbfywNLoYN7f8jKBYDieODRLu3oZ1uuh3cqe20UCyXMREZICQNImrauOdbvh2uWxGc1+rTqwNDqYV16PXGlmqbweuaJMIBiOJw7N0q5x0lbXeclcvfRmKNJr65r0hsQJkk4AfgqcX6RwSdMlLZHUJ2lWjeX7Sbpd0hpJh1ctO1bS79Pn2Fz6HpIWpTLPkfyobSdpZ5fHTjfYnnGNunI26lXW3+uRy/ZIG64nDs3Qrl6G7fgbLDLW1lclHQg8Tnaf5PMRcWOj9SSNAs4FDgSWA/MlzYmIe3LZ7geOAz5Rte4WQOXeTAAL0rqPAt8ETgBuI3sf/HTgx43qM9K0q93aLz+qbzBNZEWajhqNi9Xf65HrnaUWDQTjx42pWf74ccP7RWdFtaPnWzv+BvsNJCkY/DQi3gg0DB5V9gL6ImJpKusqYAawLpBExLK0bG3VugcBN1bG85J0IzA9DR65WUTcmtIvJRuN2IEkp53t1u4F1L+BHliKNB2VGRerbHNbva9wO0H7tONvsN9AEhEvSForaXxErB5g2ZOAB3Lzy4G9S6w7KX2W10h/CUkzgZkAU6ZMKfi1w0O72639/EHzFGk6ajQuVn+vRy579vpYjXL7S7ehMdR/g0XukTwJLJJ0QboncY6kc1pdsbIiYnZE9EREz8SJE9tdnSHlduvho0h7d73xryrp/b0euWw7vu+JGRTrtfW99BmoFcC2ufnJKa3ouvtXrTsvpU8eZJkjRjsHN7TmKnLF0ChPo6aOMmevvidmUOxm+yWDLHs+ME3S9mQH+6OAdxdcdy7wJUmbp/m3AJ+OiEckPS7pdWQ3299Hi94d380PWQ32j7tZ29zNv12nKdLeXTRPK/aB74kZgKLBUyqSpgFfBnYBNqqkR0TD95FI+kfgP4FRwIURcYak04HeiJgjaU/g+8DmwF+BP0fErmndDwD/loo6IyIuSuk9wMXAOLKb7B+OBhvR09MTvb29jaq7TvXNasgOxN00aN1AD+bN2uZW/3YOUmZDR9KCiOhpmK9AIPklWVfcs4G3Ae8HNoiIzzejokNhoIFknzNvrtk0NGnCOH41603NrFrHaNY2NyqnmU9RQ/cFeLNuUjSQFLnZPi4ibiILOn+MiNOAt5atYCcbiTerm7XN/ZVTdnjr4Tycu1k3KxJInpW0AfB7SSdJejuwaYvr1VYjsSdKs7a5v3L8FLXZ8FQkkHwU2Bj4CLAH8B7g2H7X6HJv3Ll2d+F66cNBs15s1V85ZQPBSAzwZt2gbiCRdFmafH1EPBkRyyPi/RHxzsqT5cPVLb9dOaD04aBZ4wL1V07ZQNDOtziaWX39df/dQ9I2wAfSUCTrPdFUGb5kOBqpTSjN6iJar5yyzxy4q6lZZ+ovkJwH3ATsACxg/UASKX1Y8gN9rdGMQODhV8w6T5Huv9+MiA8OUX1aYiQ+R2JmVlbR7r91r0jSUO4An8lNrzOcm7bchGJmVlx/TVsLyJqwoOr+CMO8aQva24Tip7fNrJvUDSQRsf1QVsQyfge2mXWb/pq2/q6/FSPi9uZXx9r9LhEzs4Hqr2nr//azLIDhOehUm43Ursdm1r36a9p641BWxDLuemxm3abhECmSNpb0WUmz0/w0SYe0vmojk5/eNrNuU2SsrYuA54DXp/kVwBdbVqMRrllDlZiZDZUir9p9RUQcKelogIh4WlJ1d2BrIj+9bWbdpMgVyXOSxpGeKZH0CuDZltbKzMy6RpErktOAnwDbSroc2Ac4roV1MjOzLtLwiiQibgDeQRY8rgR6ImJekcIlTZe0RFKfpFk1lo+VdHVafpukqSn9GEkLc5+1knZLy+alMivLXl50Y83MrPkaXpFI+jbwM+AXEfHbogVLGgWcCxwILAfmS5oTEffksh0PPBoRO0o6CjgLODIiLgcuT+W8BrguIhbm1jsmIoqPwmhmZi1T5B7JBcDWwNckLZX0XUkfLbDeXkBfRCyNiOeAq4AZVXlmAJek6WuBA2rcyD86rWtmZh2oSNPWLcAZwOeA84EeoMiw8pOAB3Lzy1NazTwRsQZYDWxZledIsia1vItSs9bn6vUgkzRTUq+k3pUrh++bDc3M2q3IA4k3Ab8iO6AvAfaMiJ1bXbH03XsDT0fE3bnkYyLiNcAb0ue9tdaNiNkR0RMRPRMnDt93rZuZtVuRpq27yB5IfDXwWuDVqTtwIyuAbXPzk1NazTySRgPjgVW55UdRdTUSESvSv08AV5A1oZmZWZsUadr6WETsR9ZzaxXZk+6PFSh7PjBN0vaSNiQLCnOq8swBjk3ThwM3R3plo6QNgCPI3R+RNFrSVml6DHAIcDdmZtY2RXptnUTWhLQHsAy4EPhFo/UiYk1ady4wCrgwIhZLOh3ojYg5ZDfyL5PUBzxCFmwq9gMeiIilubSxwNwUREYBPyW7b2NmZm1S5J3tnyALHAvSDfGuM9B3tpuZWRPe2V4REV9tTpXMzGw4KnKz3czMrC4HEjMzK8WBxMzMSnEgMTOzUhxIzMysFAcSMzMrxYHEzMxKcSAxM7NSHEjMzKwUBxIzMyvFgcTMzEpxIDEzs1IcSMzMrBQHEjMzK8WBxMzMSnEgMTOzUhxIzMyslJYGEknTJS2R1CdpVo3lYyVdnZbfJmlqSp8q6RlJC9PnvNw6e0halNY5R5JauQ1mZta/lgUSSaOAc4GDgV2AoyXtUpXteODRiNgROBs4K7fsvojYLX1OzKV/EzgBmJY+01u1DWZm1lgrr0j2AvoiYmlEPAdcBcyoyjMDuCRNXwsc0N8VhqStgc0i4taICOBS4LDmV93MzIpqZSCZBDyQm1+e0mrmiYg1wGpgy7Rse0l3SPqZpDfk8i9vUKaZmQ2h0e2uQB1/AqZExCpJewDXSdp1IAVImgnMBJgyZUoLqmhmZtDaK5IVwLa5+ckprWYeSaOB8cCqiHg2IlYBRMQC4D7glSn/5AZlktabHRE9EdEzceLEJmyOmZnV0spAMh+YJml7SRsCRwFzqvLMAY5N04cDN0dESJqYbtYjaQeym+pLI+JPwOOSXpfupbwP+EELt8HMzBpoWdNWRKyRdBIwFxgFXBgRiyWdDvRGxBzgAuAySX3AI2TBBmA/4HRJzwNrgRMj4pG07EPAxcA44MfpY2ZmbaKs89Pw1tPTE729ve2uhplZV5G0ICJ6GuXzk+1mZlaKA4mZmZXiQGJmZqU4kJiZWSkOJGZmVooDiZmZleJAYmZmpTiQmJlZKQ4kZmZWigOJmZmV4kBiZmalOJCYmVkpDiRmZlaKA4mZmZXiQGJmZqU4kJiZWSkOJGZmVooDiZmZldLSQCJpuqQlkvokzaqxfKykq9Py2yRNTekHSlr3rFHXAAAJUElEQVQgaVH69025dealMhemz8tbuQ1mZta/0a0qWNIo4FzgQGA5MF/SnIi4J5fteODRiNhR0lHAWcCRwMPA2yLiQUmvBuYCk3LrHRMRfgm7mVkHaOUVyV5AX0QsjYjngKuAGVV5ZgCXpOlrgQMkKSLuiIgHU/piYJyksS2sq5mZDVIrA8kk4IHc/HLWv6pYL09ErAFWA1tW5XkncHtEPJtLuyg1a31OkppbbTMzG4iOvtkuaVey5q5/ziUfExGvAd6QPu+ts+5MSb2SeleuXNn6ypqZjVCtDCQrgG1z85NTWs08kkYD44FVaX4y8H3gfRFxX2WFiFiR/n0CuIKsCe0lImJ2RPRERM/EiRObskFmZvZSrQwk84FpkraXtCFwFDCnKs8c4Ng0fThwc0SEpAnAj4BZEfGrSmZJoyVtlabHAIcAd7dwG8zMrIGWBZJ0z+Mksh5X9wLXRMRiSadLOjRluwDYUlIfcDJQ6SJ8ErAj8Pmqbr5jgbmS7gIWkl3RnN+qbTAzs8YUEe2uQ8v19PREb697C5uZDYSkBRHR0yhfR99sNzOzzudAYmZmpTiQmJlZKQ4kZmZWigOJmZmV4kBiZmalOJCYmVkpDiRmZlaKA4mZmZXiQGJmZqU4kJiZWSkOJGZmVooDiZmZleJAYmZmpTiQmJlZKQ4kZmZWigOJmZmV4kBiZmalOJCYmVkpLQ0kkqZLWiKpT9KsGsvHSro6Lb9N0tTcsk+n9CWSDipappmZDa2WBRJJo4BzgYOBXYCjJe1Sle144NGI2BE4GzgrrbsLcBSwKzAd+IakUQXLNDOzIdTKK5K9gL6IWBoRzwFXATOq8swALknT1wIHSFJKvyoino2IPwB9qbwiZZqZ2RAa3cKyJwEP5OaXA3vXyxMRayStBrZM6bdWrTspTTcqEwBJM4GZwHjgSUlLqrKMB1YXSNsKeLjWdwyBWvUZijKKrtMoX3/L6y3r9P3SjH0y2HKKrDMS9wn4b6VeWtl9sl2hXBHRkg9wOPBfufn3Al+vynM3MDk3f1/a8K8D78mlX5DKa1hmjXrMLppeJ623Vb9Rgd+wZt1bXUbRdRrl6295t+6XZuyTVu6XkbhPmrVfhuPfylDtk1Y2ba0Ats3NT05pNfNIGk0WTVf1s26RMqv9cADp9fK2SzPqM5gyiq7TKF9/y7t1vzSrLq3aLyNxn4D/Vop+T0soRa3mF5wFht8BB5Ad7OcD746Ixbk8/wK8JiJOlHQU8I6IOELSrsAVZPdEtgFuAqYBalRmC7ajNyJ6WlW+DY73S+fxPuk8Q7VPWnaPJLJ7HicBc4FRwIURsVjS6WSXW3PImqwuk9QHPELWU4uU7xrgHmAN8C8R8QJArTJbtQ3J7BaXb4Pj/dJ5vE86z5Dsk5ZdkZiZ2cjgJ9vNzKwUBxIzMyvFgcTMzEpxIBkgSTtIukDSte2ui2UkHSbp/DRu21vaXR/LSHqVpPMkXSvpg+2uj2UkbSKpV9IhzSrTgQSQdKGkhyTdXZX+kgEiIxue5fj21HTkGOA+uS4iTgBOBI5sR31HigHul3sj4kTgCGCfdtR3JBjIPkk+BVzTzDo4kGQuJhscch0PENl2FzPwffLZtNxa52IGsF8kHQr8CLh+aKs5olxMwX0i6UCyxyoeamYFHEiAiPg52XMseR4gso0Gsk+UOQv4cUTcPtR1HUkG+rcSEXMi4mDgmKGt6cgxwH2yP/A64N3ACZKaEgNaOWhjt6s56KSkLYEzgN0lfToivtyW2o1M9QYC/TDwZmC8pB0j4rx2VG4Eq/e3sj/wDmAsviIZajX3SUScBCDpOODhiFjbjC9zIBmgiFhF1hZvHSIizgHOaXc9bH0RMQ+Y1+ZqWA0RcXEzy3PTVn2DGSDSWsv7pDN5v3SeId0nDiT1zQemSdpe0oZk44DNaXOdRjrvk87k/dJ5hnSfOJAAkq4Efg3sJGm5pOMjYg1QGSDyXuCaIRgg0hLvk87k/dJ5OmGfeNBGMzMrxVckZmZWigOJmZmV4kBiZmalOJCYmVkpDiRmZlaKA4mZmZXiQGI2AJLmSeoZgu/5iKR7JV1espz9Jb2+WfUyq8VjbZkNEUmj04NiRXwIeHNELC/5tfsDTwL/U3SFAdbTzFckNvxImprO5s+XtFjSDZLGpWXrrigkbSVpWZo+TtJ1km6UtEzSSZJOlnSHpFslbZH7ivdKWijpbkl7pfU3SS8Y+k1aZ0au3DmSbgZuqlHXk1M5d0v615R2HrAD8GNJH6vKf6ukXXPz8yT1SNoi1f+ulOe1kqaSDTD6sVTfN0iaKOm7kuanzz6pnNMkXSbpV8BlknZN27IwlTmtGfvGhqmI8MefYfUBpgJrgN3S/DXAe9L0PKAnTW8FLEvTxwF9wMuAicBq4MS07GzgX3Prn5+m9wPuTtNfyn3HBOB3wCap3OXAFjXquQewKOXbFFgM7J6WLQO2qrHOx4B/T9NbA0vS9NeAU9P0m4CFafo04BO59a8A9k3TU4B7c/kWAONy5R2TpjespPvjT62Pm7ZsuPpDRCxM0wvIgksjt0TEE8ATklYDP0zpi4DX5vJdCdkLhSRtJmkC8BbgUEmfSHk2IjtQA9wYEdUvHgLYF/h+RDwFIOl7wBuAO/qp4zXADcCpZK+wvTZX1jtTvW6WtKWkzWqs/2ZgF0mV+c0kbZqm50TEM2n618BnJE0GvhcRv++nTjbCOZDYcPVsbvoFYFyaXsOLTbob9bPO2tz8Wtb/W6keoC4AAe+MiCX5BZL2Bp4aUM37ERErJK2S9Fqy99MP9N04GwCvi4i/5hNTYFlXz4i4QtJtwFuB6yX9c0TcXK72Nlz5HomNNMvImpQADh9kGUcCSNoXWB0Rq8lGWf2w0hFZ0u4FyvkFcJikjSVtArw9pTVyNfBJYHxE3JUr65j03fuTvf3uceAJsua6ihvI3ihJyrtbrS+QtAOwNLKXhv2A9a/IzNbjQGIjzVeBD0q6g+weyWD8Na1/HnB8SvsCMAa4S9LiNN+vyN4vfzHwG+A24L8ior9mrYpryd4vcU0u7TRgD0l3AWcCx6b0HwJvr9xsBz4C9KQb6PdQ/4rmCOBuSQuBVwOXFqiXjVAeRt7MzErxFYmZmZXiQGJmZqU4kJiZWSkOJGZmVooDiZmZleJAYmZmpTiQmJlZKQ4kZmZWyv8CJtd8A5YrWFAAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# adf = df[(df['voting-mechanism'] == \"QV\")].groupby(['number-of-voters', 'majority-utility-stdev', 'variance-of-perceived-pivotality']).aggregate('mean').reset_index()\n",
+ "for pmp in sorted(df['variance-of-perceived-pivotality'].unique()):\n",
+ " pdf = df[(df['voting-mechanism'] == 'QV') & (df['variance-of-perceived-pivotality']==pmp)]\n",
+ " plt.scatter(pdf['number-of-voters'], pdf['wellfare-loss'])\n",
+ " plt.xscale('log')\n",
+ " plt.xlabel('number of voters')\n",
+ " plt.ylabel('wellfare loss')\n",
+ " plt.title(\"QV wellfare loss vs n voters, pmp={}\".format(pmp))\n",
+ " plt.ylim(0, 0.2)\n",
+ " plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Wellfare loss of QV vs Variance of Percieved Pivotality"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Wellfare loss vs variance-of-pp for mean of all populations sizes together (plot for the figure)\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 45,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Data for QV right direction, random magnitude \n",
+ "df9 = pd.read_csv('2020.07.10 QV-right-direction-random-magnitude-normal-dist.csv')\n",
+ "df9['wellfare-loss'] = 1 - df9['mean payoff-sign-list']\n",
+ "qv_rdrm = df9['wellfare-loss'].mean()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 58,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": "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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "1p1v wl: 0.208377083333333\n",
+ "QV_rdwm: 0.27814285714285714\n"
+ ]
+ }
+ ],
+ "source": [
+ "adf = df[(df['voting-mechanism'] == \"QV\")].groupby('variance-of-pp').aggregate('mean').reset_index()\n",
+ "\n",
+ "\n",
+ "fig, ax = plt.subplots(figsize=(4, 3))\n",
+ "sns.scatterplot(x='variance-of-pp',\n",
+ " y='wellfare-loss',\n",
+ " ax = ax,\n",
+ " data=adf)\n",
+ "ax.set(xlim=(0, 0.083), ylim=(0,.3))\n",
+ "ax.set_xlabel('Variance of Perceived Pivotality', fontsize=12)\n",
+ "ax.set_ylabel('normal dist. WL', fontsize=12)\n",
+ "ax.tick_params(labelsize=10)\n",
+ "\n",
+ "wl_1p1v = df[(df['voting-mechanism'] == \"1p1v\")]['wellfare-loss'].mean()\n",
+ "plt.plot([0, 0.083], [wl_1p1v]*2, 'k--', linewidth=1)\n",
+ "\n",
+ "plt.plot([0, 0.083], [qv_rdrm]*2, 'C0--', linewidth=1)\n",
+ "\n",
+ "plt.savefig('figures/sQV_WL_vs_pmp_variance_𝜇=0_2.png', bbox_inches='tight', dpi=300)\n",
+ "plt.show()\n",
+ "\n",
+ "print(\"1p1v wl: {}\".format(wl_1p1v))\n",
+ "print(\"QV_rdwm: {}\".format(qv_rdrm))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "### Wellfare loss vs variance-of-pp for each n_voters"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 69,
+ "metadata": {
+ "hidden": true,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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PgcOGPcLFV2+YKCq6Vd/sJqEjk1v52HCKaP6+osNntO1sDTUJqG5qtBLYt8n0HwVubDLvpGGNDlJCaPCP6EZ9cxmbhFoxZTrTsZFr3sz6PxjrdYnS4TPaUjSdlXQcWZXT21qc70TgRIAddtih9RU3SwiubzazTmulaqnDXbq0M1kMAJOr3m+fyjYg6SDg88DbIuKZqnn3r5n3ltp5I2IWMAugr6+vwSlCEw3vs1B36pt7t61/FtGtJqFm1lmtdokySh6rOh+YJmmqpE2AY4E51RNImg5cAhweEY9VjZoLHCJpG0nbAIeksuFV9z4LQd9HulOlULYmoWbWWSXuEqVtZxYR8Zykk8i+5HuASyNiqaSZQH9EzAEuALYErpEE8HBEHB4RT0j6AlnCAZgZEcNfcV+2njnLFo+ZdVaJvwMUja60jzB9fX3R39/f7TDMzEYUSQsioi9vurF9B7eZmRXiZGFmZrmcLMzMLJeThZmZ5XKyMDOzXE4WZmaWy8nCzMxyOVmYmVkuJwszM8vlZGFmZrmcLMzMLJeThZmZ5XKyMDOzXE4WZmaWy8nCzMxyOVmYmVkuJwszM8vlZGFmZrmcLMzMLJeThZmZ5XKyMDOzXE4WZmaWy8nCzMxyOVmYmVkuJwszM8u1cbcDMDOzF81eOMAFc5fx6Oq1TBzfy2mH7sKM6ZO6HVb+mYWk8yW9TNI4SfMkrZJ0XCeCMzMbS2YvHOCM65YwsHotAQysXssZ1y1h9sKBbodWqBrqkIj4A/AuYAXwauC0dgZlZjYWXTB3GWvXrd+gbO269Vwwd1mXInpRkWRRqar6a+CaiHiqjfGYmY1Zj65e21J5JxVJFtdLug/YG5gnaQLw5/aGZWY29kwc39tSeSflJouIOB14E9AXEeuAPwFHtDswM7Ox5rRDd6F3XM8GZb3jejjt0F26FNGLilzgfi+wLiLWSzoT+DYwscjCJR0maZmk5ZJOrzP+rZLukvScpKNqxq2XdHd6zSm4PWZmI9aM6ZM498g9mDS+FwGTxvdy7pF7lKI1VJGms/8YEddIejNwEHAB8DVg32YzSeoBLgYOBlYC8yXNiYh7qiZ7GPgwcGqdRayNiL0KxGdmNmrMmD6pFMmhVpFrFpVL838NzIqIHwGbFJhvH2B5RDwYEc8CV1JTfRURKyJiMfB8CzGbmVmHFUkWA5IuAY4BbpC0acH5JgGPVL1fmcqK2kxSv6Q7JM2oN4GkE9M0/atWrWph0WZm1ooi1VBHA4cBX4qI1ZJeRWfus9gxIgYk7QTcJGlJRDxQPUFEzAJmAfT19UUHYjKzUaSsd0sX1cn4c5NFRKyR9ABwqKRDgdsi4icFlj0ATK56v30qKyQiBtLfByXdAkwHHmg6k5lZQZW7pSs3wVXulga6mjCKJoBOx1+kNdQpwHeAV6TXtyX9fYFlzwemSZoqaRPgWKBQqyZJ26TqLiRtB+wH3NN8LjOz4sp4t3Qr3X10Ov4i1x4+CuwbEWdFxFnAG4CP5c0UEc8BJwFzgXuBqyNiqaSZkg4HkPR6SSuB9wKXSFqaZn8d0C9pEXAzcF5NKyozsyEp493SrSSATsdf5JqFeLFFFGlYRRYeETcAN9SUnVU1PJ+seqp2vtuBPYqsw8xsMCaO72WgzhdrN++WbiUBdDr+ImcWlwF3Sjpb0tnAHcA32xKNmVmHlPFu6Va6+zjgtRPqTtuofKiKdPfxb8AJwBPpdUJEfLkt0ZiZdUgZ75ZuJYHdfF/92wUalQ9Vw2ooSdtWvV2RXi+Mi4gn2hKRmY1aZWuqWra7pSuxFNlHZbpmsQAIXrw+UbmPQWl4p7ZEZGajUhmbqpYteUHxBFaaaxYRMTUidkp/K8OV904UZtaSsjVVLfNT6Yro9DWXIhe4zcyGrGxNVcuWvFrV6WsuRZrOmpkNWdmaqpYteQ1GJ6+5+MzCbJSavXCA/c67iamn/4j9zrup69UrZWuqWuan0pVRoWQh6c2STkjDEyRNbW9YZjYUsxcOcNq1izaojz/t2kVdTRhla6patuRVdopo3lmrpH8C+oBdIuI1kiYC10TEfp0IsKi+vr7o7+/vdhhmpTB95k94cs26l5Rvs/k4Fp51SBciKqcytobqNEkLIqIvb7oi1yzeQ9bj610AEfGopK2GGJ+ZtVG9RNGsfKwq230WZVakGurZyE4/AkDSFu0NyczMyqZIsrg6PSlvvKSPAT8D/qO9YZnZUIzvHddSuVmeIg8/+pKkg4E/ALsAZ0XET9semZkN2tmH78Zp1yxi3fMvXpMct5E4+/DduhiVrxGMZE2ThaQe4GcRcQDgBGE2QrTSx1CnlLG7DyuuabKIiPWSnpe0dUQ81amgzGzoynbxttkd02WK0+or0hrqaWCJpJ8Cf6oURsTJbYvKzEad0XDH9FhWJFlcl15mZoNWtu4+rDVFLnBf0YlAzGx0O+3QXTa4ZgG+Y3okyU0WkqYB5wK7AptVyt1NuZm1oowX3a24ItVQlwH/BFwIHED2iFV3QGhmLSvbRXcrrkiy6I2IeZIUEQ8BZ0taAJzV5tjMRgzfP2CjXZFk8YykjYD7JZ0EDABbtjcss5HD9w/YWFCkOukUYHPgZGBv4Djg+HYGZTaSjPQnrpkV0fDMQtK3IuKDwJsiYj7Z/RYndCwysxHC9w/YWNDszGLv9OyKj0jaRtK21a9OBWhWdn7imo0FzZLF14F5wGuBBTUvP2XILPET12wsaFgNFREXARdJ+lpEfKKDMZmNKL5/wMaCho9Vzatqiogn2hLRIPmxqmZmrRuOx6ouID0dD1DNuAB8B7eZ2RjRrBpqaicDMRvJfFOejXYNL3BL+qtmryILl3SYpGWSlks6vc74t0q6S9Jzko6qGXe8pPvTy/d1WGlVbsobWL2W4MWb8mYvHOh2aGbDplk11L82GRfA25stOD1l72LgYGAlMF/SnIi4p2qyh4EPA6fWzLstWX9UfWldC9K8TzZbp1k3+KE+NhY0q4Y6YIjL3gdYHhEPAki6EjgCeCFZRMSKNO75mnkPBX5auYieHrx0GPC9IcZkNux8U56NBbndfUjaXNKZkmal99MkvavAsicBj1S9X5nKiig0r6QTJfVL6l+1alXBRZsNL9+UZ2NBkb6hLgOeBd6U3g8A57QtohZExKyI6IuIvgkTJnQ7HOug2QsH2O+8m5h6+o/Y77ybunp9wDfl2VhQJFnsHBHnA+sAImINL21KW88AMLnq/faprIihzGujXNkuKM+YPolzj9yDSeN7ETBpfC/nHrmHr1fYqFKki/JnJfWS7rmQtDPwTIH55gPTJE0l+6I/Fnh/wbjmAv8iaZv0/hDgjILz2ihXxgvKfqiPjXZFzizOBn4MTJb0HbL+oj6bN1NEPAecRPbFfy9wdUQslTRT0uEAkl4vaSXwXuASSUvTvE8AXyBLOPOBmWW7Y9y6xxeUzTov98wiIn6Snoz3BrLqp1Mi4vdFFh4RNwA31JSdVTU8n6yKqd68lwKXFlmPjS3jNx/Hk2vW1S03s/bITRaSvg3cCtwWEfe1PySz5hp0Z9aw3MyGrkg11DeBVwH/T9KDkr4v6ZQ2x2XW0FNrX3pW0azczIauSDXUzZL+C3g9cADwcWA34Cttjs2sronjexmoc33C9zWYtU+Rm/LmAT8HjgGWAa+PiNe2OzCzRnxfg1nnFamGWkx2U97uwJ7A7qkprVlX+L4Gs84rUg31aQBJW5F1+ncZ8BfApm2NzKwJ39dg1llFWkOdBLwF2BtYQdac9bb2hmVmZmVS5A7uzYB/AxakG+3MzGyMKVIN9aVOBGJmZuVV5AK3mZmNcUWqoWyM8/OlzczJwpqqdAde6eW10h044IRhNoa4GsqaatYduJmNHU4W1pS7AzczcLKwHH6+tJmBk4XlcD9MZgZOFpZjxvRJ/M3ek+hR9tj1Hom/2dtdbZiNNU4W1tTshQN8f8EA69OThdZH8P0FA8xeONDlyMysk5wsrCm3hjIzcLKwHG4NZWbgm/JKp2x3S/updGYGPrMolcrd0gOr1xK8eLd0N68PuDWUmYGTRamU8fqAn0pnZuBqqFIp6/UBP5XOzHxmUSJb945rqdzMrFOcLEok3fdWuNzMrFOcLEpk9Zp1LZWbmXWKk0WJuNM+MysrJ4sScTNVMysrt4YqkUqLozLdlGdmBk4WpeNmqmZWRm2thpJ0mKRlkpZLOr3O+E0lXZXG3ylpSiqfImmtpLvT6+vtjNPMzJpr25mFpB7gYuBgYCUwX9KciLinarKPAk9GxKslHQt8ETgmjXsgIvZqV3xmZlZcO88s9gGWR8SDEfEscCVwRM00RwBXpOFrgQMl31VgZlY27UwWk4BHqt6vTGV1p4mI54CngJencVMlLZR0q6S31FuBpBMl9UvqX7Vq1fBGb2ZmLyhr09nfAjtExHTgM8B3Jb2sdqKImBURfRHRN2HChI4HaWY2VrQzWQwAk6veb5/K6k4jaWNga+DxiHgmIh4HiIgFwAPAa9oYq5mZNdHOZDEfmCZpqqRNgGOBOTXTzAGOT8NHATdFREiakC6QI2knYBrwYBtjNTOzJtrWGioinpN0EjAX6AEujYilkmYC/RExB/gm8C1Jy4EnyBIKwFuBmZLWAc8DH4+IJ9oVq5mZNaeI6HYMw6Kvry/6+/u7HYaZ2YgiaUFE9OVNV9YL3GZmViJOFmZmlsvJwszMcjlZmJlZLicLMzPL5WRhZma5nCzMzCyXk4WZmeVysjAzs1xOFmZmlsvJwszMcjlZmJlZrrb1OjsSzV44wAVzl/Ho6rVMHN/LaYfuwozptQ/3MzMbe5wsktkLBzjjuiWsXbcegIHVaznjuiUAThhmNua5Giq5YO6yFxJFxdp167lg7rIuRWRmVh5OFsmjq9e2VG5mNpY4WSQTx/e2VG5mNpY4WSSnHboLveN6NijrHdfDaYfu0qWIzMzKwxe4k8pFbLeGMjN7KScLXtpk9sJj9nKSMDOrMuaThZvMmpnlG/PXLBo1mf0/Vy9i9sKBLkVlZlYuYz5ZNGoauz6CM65b4oRhZoaTBVv3jms4zjflmZllxnyykJqP9015ZmZOFqxes67peN+UZ2bmZNE0GfimPDOzzJhPFvXu3AbYZvNxnHvkHm4+a2aG77PwndtmZgWM+WQBWcJwcjAza2zMV0OZmVm+tp5ZSDoM+ArQA3wjIs6rGb8p8J/A3sDjwDERsSKNOwP4KLAeODki5rYjxjNnL+F7dz7C+gh6JN6372TOmbFHO1ZlZjZite3MQlIPcDHwDmBX4H2Sdq2Z7KPAkxHxauBC4Itp3l2BY4HdgMOAr6blDaszZy/h23c8zPoIILtr+9t3PMyZs5cM96rMzEa0dlZD7QMsj4gHI+JZ4ErgiJppjgCuSMPXAgdKUiq/MiKeiYjfAMvT8obV9+58pKVyM7Oxqp3JYhJQ/a27MpXVnSYingOeAl5ecF4knSipX1L/qlWrWg6wckZRtNzMbKwa0Re4I2JWRPRFRN+ECRNanr+nQV8fjcrNzMaqdiaLAWBy1fvtU1ndaSRtDGxNdqG7yLxD9r59J7dUbmY2VrUzWcwHpkmaKmkTsgvWc2qmmQMcn4aPAm6KiEjlx0raVNJUYBrwy+EO8JwZe3DcG3Z44UyiR+K4N+zg1lBmZjXa1nQ2Ip6TdBIwl6zp7KURsVTSTKA/IuYA3wS+JWk58ARZQiFNdzVwD/Ac8MmIWF93RUN0zow9nBzMzHIoRsnF3L6+vujv7+92GGZmI4qkBRHRlzfdiL7AbWZmneFkYWZmuZwszMwsl5OFmZnlGjUXuCWtAh4awiK2A34/TOGMVt5H+byPivF+ytepfbRjROTe1TxqksVQSeov0iJgLPM+yud9VIz3U76y7SNXQ5mZWS4nCzMzy+Vk8aJZ3Q5gBPA+yud9VIz3U75S7SNfszAzs1w+szAzs1xOFmZmlmvUJwtJh0laJmm5pNPrjN9U0lVp/J2SplSNOyOVL5N0aCfj7rTB7idJB0taIGlJ+vv2TsfeKUM5ltL4HSQ9LenUTsXcaUP8vO0p6ReSlqbjabNOxt5JQ/i8jZN0Rdo/90o6o2NBR8SofZF1jf4AsBOwCbAI2LVmmr8Dvp6GjwVYR17jAAAIZElEQVSuSsO7puk3Baam5fR0e5tKuJ+mAxPT8O7AQLe3p2z7qGr8tcA1wKnd3p6y7SOyxyUsBv4yvX+5P29199P7gSvT8ObACmBKJ+Ie7WcW+wDLI+LBiHgWuBI4omaaI4Ar0vC1wIGSlMqvjIhnIuI3wPK0vNFo0PspIhZGxKOpfCnQK2nTjkTdWUM5lpA0A/gN2T4arYayjw4BFkfEIoCIeDza9AybEhjKfgpgi/Rk0V7gWeAPnQh6tCeLScAjVe9XprK600TEc8BTZL9qisw7WgxlP1X7G+CuiHimTXF206D3kaQtgc8B/9yBOLtpKMfRa4CQNFfSXZI+24F4u2Uo++la4E/Ab4GHgS9FxBPtDhja+KQ8G1sk7QZ8kewXom3obODCiHg6nWjYS20MvBl4PbAGmJceyjOvu2GVzj7AemAisA1wm6SfRcSD7V7xaD+zGAAmV73fPpXVnSad2m0NPF5w3tFiKPsJSdsDPwA+FBEPtD3a7hjKPtoXOF/SCuBTwD+kRw6PNkPZRyuB/4qI30fEGuAG4K/aHnF3DGU/vR/4cUSsi4jHgJ8DHek/arQni/nANElTJW1CdqFoTs00c4Dj0/BRwE2RXT2aAxybWiVMBaYBv+xQ3J026P0kaTzwI+D0iPh5xyLuvEHvo4h4S0RMiYgpwJeBf4mIf+9U4B00lM/bXGAPSZunL8e3Afd0KO5OG8p+ehh4O4CkLYA3APd1JOputwxo9wt4J/BrstYHn09lM4HD0/BmZC1UlpMlg52q5v18mm8Z8I5ub0sZ9xNwJlkd6t1Vr1d0e3vKtI9qlnE2o7Q11FD3EXAcWQOAXwHnd3tbyrifgC1T+VKyZHpap2J2dx9mZpZrtFdDmZnZMHCyMDOzXE4WZmaWy8nCzMxyOVmYmVkuJwvrKEk3pHszSkHSW1Ivp3dL6u3QOm9v8/LPbqVnW0l9ki4a5LpmSNq1lZgkzZR0UBr+lKTNB7Nu6ywnC+sIZTaKiHdGxOpux1PlA8C5EbFXRKwdroWmG8vqiog3Ddd6hkNE9EfEyYOcfQZZD82trO+siPhZevspst5TreScLKwwSedJ+mTV+7MlnSppS0nzUgdwSyQdkcZPSX32/yfZjVaTJa2QtF0aP1vZMzCWSjqxarlPS/q/khZJukPSK1P5KyX9IJUvkvSmVH6cpF+ms4NLJPXUif1ASQtTfJemO/P/Fjga+IKk79RMP0XSfZK+k54bcG3lF7CkvSXdmmKfK+lVqfwWSV+W1A+c0iTep6vWc5qk+ZIWS/rnZvu50fSp/POSfi3pv4FdGvz/Lpf0dUn9adp3pfL9JV0vaaP0/xlfNc/9aTumSLoprXeesmdzvAk4HLgg7fudJX0sxbdI0vfrnTWkOI6SdDJZH0c3S7pZ0kckfblquo9JurDetlgXdPtORr9Gzovs2RW3Vr2/h6z/mo2Bl6Wy7cjuOhUwBXgeeEPVPCuA7dLwtulvL1kyeXl6H8C70/D5wJlp+CrgU2m4h6y/nNcBPwTGpfKvkvVRVR33ZmQ9eL4mvf/PquVcDhxVZ1unpDj2S+8vBU4FxgG3AxNS+THApWn4FuCrVct4Sbxp+On09xBgVtpXGwHXA29tsp8bTb83sITsF/rL0v5/yV3iaVt/nOadRtYf02bA/sD1aZqvACek4X2Bn6XhHwLHp+GPALPr7b/K/zANnwP8fRo+uxJT9TxseDxsSXZHc+V/eTuwR7ePe7+yl3udtcIiYqGkV0iaCEwAnoyIRySNA/5F0lvJksMk4JVptoci4o4GizxZ0nvS8GSyL7DHyfrovz6VLwAOTsNvBz6UYlkPPCXpg2RflvOV9ejaCzxWs55dgN9ExK/T+yuAT5L109TMI/Fif1ffBk4m+7LdHfhpWl8PWXfRFVdVDb8k3prlH5JeC9P7LYFpEfHNBvv5lHrTA1sBP4isAz4k1fYzVO3qiHgeuF/Sg8Bra8ZfBZwFXEZ66E4qfyNwZBr+FlkSr2d3SecA41N8c5vEsoHIeuW9CXiXpHvJksaSovNbezlZWKuuIevY7C948YvkA2RfantHxDplvatWHon5p3oLkbQ/cBDwxohYI+mWqnnWRfppSdYdc7PjVMAVEdGOx0vW9oUTaX1LI+KNDeapu70NiOx6ySV1xtXbz3Wnl/SpFtZZb5uq/QJ4taQJZNcjzmlh2ZCdNcyIiEWSPkx21tKKbwD/QNY53mUtzmtt5GsW1qqryH5xHkX2hQZZddBjKVEcAOxYYDlbk/1iXiPptWS9Z+aZB3wCQFKPpK1T2VGSXpHKt5VUu/5lwBRJr07vPwjcWmB9O0iqJIX3A/+dljWhUq7smci7tRBvtbnAR5Q9HAlJkyrbQf393Gj6/wJmSOqVtBXw7ibb9N50bWJnssd6LqsemZL0D4B/A+6NiMfTqNtTPJD9OLgtDf+R7MymYivgt+ls8wNN4qjYYP6IuJPsLPP9wPcKzG8d4mRhLYmIpWQf7oGIqFS/fAfok7SErNqlSJfJPwY2TtUN5wGNqqqqnQIckNazgOy5xfeQ9Xz7E0mLgZ8Cr6qJ+c/ACcA1ad7nga8XWN8y4JMpxm2Ar0X2GMyjgC9KWkTWy26j1k0vibcmrp8A3wV+kaa5lvTFWW8/N5o+Iu4iSy6LgBvJusBu5GGyXkxvBD6e9k2tq8h6gK2uUvt74IS0jz+Ytg2yR4KepqzxwM7APwJ3kj1nochxMAv4saSbq8quBn4eEU8WmN86xL3OmtUhaQrZRd/duxzKsJF0Odk2XdvtWJqRdD3ZkwX9lLwS8ZmFmZWCpPGSfg2sdaIoH59ZmJlZLp9ZmJlZLicLMzPL5WRhZma5nCzMzCyXk4WZmeX6X832/Z/sEwRRAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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0s/byzllpboYaVpUmIN9FbmYV5COLvG7vZfimPDOrKB9ZVIlvyjOzinKyqJIqXJFlZlaHk0WV+LpvM6soJ4sq8XXfZlZRThZVUpUrsszMavhqqKrp9hVZZmZ1+MjCzMwKOVmYmVkhN0OZmY1TZy9bzaU3bWAogh6Jkw6eyZIF89oyLycLM7Nx6Oxlq7nkxnu29g9FbO1vR8JwM5SZWYUsWzXAoeddx15n/TuHnncdy1YN1B3u0pvqPCW7Sflo+cjCzKwilq0aYNHVqxncMgTAwOZBFl29GoAFB8zYZtihiLrTaFQ+Wj6yMDOriKUr1m5NFMMGtwyxdMXaJw3bI9WdRqPy0XKyMLOOKdvEMlndu3mwdPlJB8+sO2yj8tFysjCzjhhuYhnYPEjwRBOLE8YTpk/tLV2+ZME8Tjlk1tYjiR6JUw6Z1baroRRtat/qtL6+vujv7+92GGbWwKHnXcdAnT3kGVN7+clZr+pCRNVTe84CoHdKDx87ft6TzlmMFUkrI6KvaDif4DazjmiliWWyGk4IS1es5d7Ng0yf2svC+XPbliha4WRhZh0xfWpv3SOLRk0vk9WCA2ZUIjnU8jkLM+uIhfPn0julZ5uy3ik9LJw/t0sRVVNVLwLwkYWZdUSVm1iqopX7LDrNycLMOqaqTSxV0ew+i27Xm5uhzMwqosoXAThZmJlVRCv3WXSak4WZTVpVO5lc5YsA2posJB0taa2kdZLOqvP9KyXdIukxSSfUfDck6db0Wd7OOM1s8qniHeULDpjBx46fx4ypvYjshsV23pDXirad4JbUA3wOeDWwEbhZ0vKIuCM32D3A24Ez60xiMCJe1K74zGxyq+rJ5KpeBNDOq6EOAtZFxF0Aki4DjgO2JouIWJ++e7yNcZiZPUmVTyZXUWEzlKRPSHqapCmSrpW0SdIpJaY9A8i/hWNjKitrJ0n9km6UtKCF8czMCk19ypSWyie7MucsjoqI/wZeB6wHngssbGdQybPTw61OBj4tae/aASSdlhJK/6ZNmzoQkplNFI2eoTpBnq065soki+Gmqr8AroyIB0tOewDIP1h9z1RWSkQMpL93AdcDB9QZ5vyI6IuIvmnTppWdtJkZDw5uaal8siuTLK6R9EvgQOBaSdOA/ykx3s3AHEl7SdoBOBEodVWTpN0k7Zi69wAOJXeuw8zGpypdqlrlexqqqDBZRMRZwMuAvojYAvyJ7ER10XiPAacDK4BfAFdExBpJiyUdCyDpJZI2Am8AviRpTRr9BUC/pNuAHwLn1VxFZWbjTNUuVa3yPQ1VVPjyI0lvAL4bEX+UdDbwYmBJRNzSiQDL8suPzKqtii8/WrZqYNI/2HAsX370fyLiSkkvB44ElgJfAA4eZYxmNolU8VLVqt7TUEVlzlkM37XyF8D5EfHvwA7tC8nMJiKfIxjfyiSLAUlfAt4EfDudePYzpcysJT5HML6V2ei/kewk9fyI2AzsTmfuszCzCaTKzz2yYoXnLCLiYUl3AvMlzQd+HBHfa39oZjbR+BzB+FXmcR/vBb4GPCN9LpH0t+0OzMzMqqPM1VDvBA6OiD8BSPo48DPgn9sZmJmZVUeZcxbiiSuiSN1qTzhmZlZFZY4sLgJukvTN1L8AuKB9IZmZWdWUOcH9SUnXAy9PRadGxKq2RmVmZpXSMFlI2j3Xuz59tn4XEfe3LywzM6uSZkcWK4HgifMTww+RUup+ThvjMjOzCmmYLCJir04GYmZm1eXHdpiZWSEnCzMzK1Tm0lkzK+D3IthEVypZpHdZzImIi9JrVXeOiN+0NzSzxqq0cR5+A9zgluze1eE3wAFdTRhVqiMb/8o8G+rDwAeBRaloCnBJO4Mya6Zqr+dcumLt1kQxbHDLEEtXrO1KPFC9OrLxr8w5i9cDx5K9e5uIuBfYpZ1BmTVTtY1zFd8AV7U6svGvTLJ4NLIXdQeApKe2NySz5qq2ca7iG+CqVkc2/pVJFlekN+VNlfQu4AfAv7Y3LLPGqrZxruIb4KpWRzb+FSaLiPhH4CrgG8Bc4JyI8OPJrWuqtnGu4hvgFs6fy5SebR8OPaVHfoWpjVjTq6Ek9QA/iIjDge93JiSz5oY3wlW60qeSb4CLgn6zFjRNFhExJOlxSbtGxIOdCsqsSCU3zhWydMVatjy+bXbY8niwdMVa15uNSJn7LB4CVkv6PumKKICIOKNtUZnZqPgEt421Msni6vQxswaqdgPc9Km9DNRJDD7BbSNV5uVHF3ciELPxqop3cC+cP3ebmKD7V2jZ+FbmDu45kq6SdIeku4Y/nQjObDyo4g1wVbxCy8a3su/g/jDwKeBw4FT8tFqzrap6fsAXAdhYKrPR742IawFFxN0RcS7wF+0Ny2z88A1wNhmUSRaPSNoO+LWk0yW9Hti5zXGZjRtVu0nQrB3KJIv3Ak8BzgAOBE4B3tbOoMzGE58fsMmg4TkLSV+NiLcAL4uIm8nutzi1Y5GZjSM+P2ATXbMjiwMlTQfeIWk3SbvnP50K0MzMuq9ZsvgicC3wfGBlzae/zMQlHS1praR1ks6q8/0rJd0i6TFJJ9R89zZJv04fN3uZmXVRw2QREZ+NiBcAF0bEcyJir9znOUUTTg8h/BzwGmAf4CRJ+9QMdg/wduDrNePuTna57sHAQcCHJe3WwnKZmdkYanbOYrip6UP1mp0i4v6CaR8ErIuIu9L0LgOOA+7ITWN9+u7xmnHnA98fnkd6LtXRwKUF8zQzszZodlPeSp54qLFqvgug6OhiBrAh17+R7EihjHrjPunsoaTTgNMAZs2aVXLSZmbWqobJIiL26mQgIxER5wPnA/T19flp/WZmbdKsGerFzUaMiFsKpj0AzMz175nKyhgADqsZ9/qS45qZ2Rhr1gz1T02+C+BVBdO+GZgjaS+yjf+JwMkl41oB/EPupPZRwKKS45qZ2Rhr1gx1+GgmHBGPSTqdbMPfQ3ZV1RpJi4H+iFgu6SXAN4HdgGMkfSQi9o2I+yV9lCzhACwucULdzMzaRBHNm/olPQV4PzArIk6TNAeYGxHXdCLAsvr6+qK/v9TtH2ZmlkhaGRF9RcOVeTbURcCjwMtS/wCwZBSxmZnZOFMmWewdEZ8AtgBExMM8+VJaMzObwMoki0cl9ZLuuZC0N/BIW6MyM7NKKfOmvHOB7wIzJX0NOJTsER1mZjZJFCaLiPiepJXAIWTNT++NiD+0PTKzJpatGmDpirXcu3mQ6VN7WTh/rh8RbtZGhclC0iXADcCPI+KX7Q/JrLllqwZYdPVqBrcMATCweZBFV68GcMIwa5MyzVAXAK8A/jmdr1gF/CgiPtPWyKwyzl62mktv2sBQBD0SJx08kyUL5nUtnqUr1m5NFMMGtwyxdMVaJwuzNinTDPVDST8CXgIcDrwb2BdwspgEzl62mktuvGdr/1DE1v5uJYx7Nw+2VG5mo1d4NZSka4GfAG8C1gIviYjntzswq4ZLb9rQUnknTJ/a21K5mY1emUtnbye7KW8/YH9gv3QprU0CQw3u8G9U3gkL58+ld0rPNmW9U3pYOH9ulyIym/jKNEP9HYCkXcgumb0I+DNgx7ZGZpXQI9VNDD3q3n2Zw+clfDWUWeeUuRrqdLIT3AcC64ELgR+3NyyripMOnrnNOYt8eTctOGCGk4NZB5W5Gmon4JPAyoh4rM3xWMUMn8Su0tVQZtZ5hU+dHS/81Fkzs9aN5VNnzcxsknOyMDOzQk4WZmZWyMnCzMwKOVmYmVkhJwszMyvkZGFmZoWcLMzMrJCThZmZFXKyMDOzQk4WZmZWyMnCzMwKOVmYmVkhJwszMyvkZGFmZoWcLMzMrFCZN+VZBy1bNeB3S5tZ5ThZVMiyVQMsuno1g1uGABjYPMiiq1cDOGGYWVe5GapClq5YuzVRDBvcMsTSFWu7FJGZWaatyULS0ZLWSlon6aw63+8o6fL0/U2SZqfy2ZIGJd2aPl9sZ5xVMbB5sKVyM7NOaVszlKQe4HPAq4GNwM2SlkfEHbnB3gk8EBHPlXQi8HHgTem7OyPiRe2Kr4p6JIYi6pabmXVTO48sDgLWRcRdEfEocBlwXM0wxwEXp+6rgCOkybtlrJcompWbmXVKO5PFDGBDrn9jKqs7TEQ8BjwIPD19t5ekVZJukPSKejOQdJqkfkn9mzZtGtvou2DG1N6Wys3MOqWqJ7h/C8yKiAOA9wNfl/S02oEi4vyI6IuIvmnTpnU8yLG2cP5ceqf0bFPWO6WHhfPndikiM7NMO5PFADAz179nKqs7jKTtgV2B+yLikYi4DyAiVgJ3As9rY6yVsOCAGXzs+HnMmNqLyI4oPnb8PF82a2Zd1877LG4G5kjaiywpnAicXDPMcuBtwM+AE4DrIiIkTQPuj4ghSc8B5gB3tTHWylhwwAwnBzOrnLYli4h4TNLpwAqgB7gwItZIWgz0R8Ry4ALgq5LWAfeTJRSAVwKLJW0BHgfeHRH3tytWMzNrTjFBrrTp6+uL/v7+bodhZjauSFoZEX1Fw1X1BLeZmVWIk4WZmRVysjAzs0JOFmZmVsjJwszMCjlZmJlZIScLMzMr5GRhZmaFnCzMzKyQk4WZmRVysjAzs0JOFmZmVsjJwszMCjlZmJlZIScLMzMr5GRhZmaFnCzMzKyQk4WZmRVq2zu4x6NlqwZYumIt924eZPrUXhbOn8uCA2Z0Oywzs65zskiWrRpg0dWrGdwyBMDA5kEWXb0awAnDzCY9N0MlS1es3Zoohg1uGWLpirVdisjMrDqcLJJ7Nw+2VG5mNpk4WSTTp/a2VG5mNpk4WSQL589lynbapmzKdmLh/LldisjMrDqcLPJU0G9mNkk5WZBdCfW/r7iNLUOxTfmWofAJbjMznCxYtmqAhVfdxlBE3e99gtvMzMmCj3xrzZOOKPJ8gtvMzMmCBx7e0vC73ik9PsFtZoaTRVMfO36e7942M8PJgqm9UxqWO1GYmWUmfbI499h9695fce6x+3YpIjOz6pn0DxIcPnrw02bNzBqb9MkCsoTh5GBm1lhbk4Wko4HPAD3AlyPivJrvdwT+DTgQuA94U0SsT98tAt4JDAFnRMSKdsR49rLVXHrTBoYi6JE46eCZLFkwrx2zMjMbt9p2zkJSD/A54DXAPsBJkvapGeydwAMR8VzgU8DH07j7ACcC+wJHA59P0xtTZy9bzSU33rP1hryhCC658R7OXrZ6rGdlZjautfME90HAuoi4KyIeBS4DjqsZ5jjg4tR9FXCEJKXyyyLikYj4DbAuTW9MXXrThpbKzcwmq3YmixlAfqu7MZXVHSYiHgMeBJ5eclwknSapX1L/pk2bWg6w0SM+GpWbmU1W4/rS2Yg4PyL6IqJv2rRpLY/fo/qPlW1UbmY2WbUzWQwAM3P9e6ayusNI2h7YlexEd5lxR+2kg2e2VG5mNlm1M1ncDMyRtJekHchOWC+vGWY58LbUfQJwXUREKj9R0o6S9gLmAD8f6wCXLJjHKYfM2nok0SNxyiGzfDWUmVmNtl06GxGPSTodWEF26eyFEbFG0mKgPyKWAxcAX5W0DrifLKGQhrsCuAN4DHhPRAy1I84lC+Y5OZiZFVBMkJO5fX190d/f3+0wzMzGFUkrI6KvaLhxfYLbzMw6w8nCzMwKOVmYmVkhJwszMys0YU5wS9oE3D2KSewB/GGMwpmoXEfFXEfluJ6KdaqOnh0RhXc1T5hkMVqS+stcETCZuY6KuY7KcT0Vq1oduRnKzMwKOVmYmVkhJ4snnN/tAMYB11Ex11E5rqdilaojn7MwM7NCPrIwM7NCThZmZlZowicLSUdLWitpnaSz6ny/o6TL0/c3SZqd+25RKl8raX4n4+60kdaTpFdLWilpdfr7qk7H3imjWZfS97MkPSTpzE7F3Gmj/L3tL+lnktak9WmnTsbeSaP4vU2RdHGqn19IWtSxoCNiwn7IHo1+J/AcYAfgNmCfmmH+Bvhi6j4RuDx175OG3xHYK02np9vLVMF6OgCYnrr3Awa6vTxVq6Pc91cBVwJndnt5qlZHZK9LuB14Yep/un9vdevpZOCy1P0UYD0wuxNxT/Qji4OAdRFxV0Q8ClwGHFczzHHAxan7KuAISUrll0XEIxHxG2Bdmt5ENOJ6iojhsm+2AAAH8UlEQVRVEXFvKl8D9ErasSNRd9Zo1iUkLQB+Q1ZHE9Vo6ugo4PaIuA0gIu6LNr3DpgJGU08BPDW9WbQXeBT4704EPdGTxQxgQ65/YyqrO0xEPAY8SLZXU2bciWI09ZT3l8AtEfFIm+LsphHXkaSdgQ8CH+lAnN00mvXoeUBIWiHpFkkf6EC83TKaeroK+BPwW+Ae4B8j4v52BwxtfFOeTS6S9gU+TraHaNs6F/hURDyUDjTsybYHXg68BHgYuDa9lOfa7oZVOQcBQ8B0YDfgx5J+EBF3tXvGE/3IYgCYmevfM5XVHSYd2u0K3Fdy3IliNPWEpD2BbwJvjYg72x5td4ymjg4GPiFpPfA+4O/TK4cnmtHU0UbgRxHxh4h4GPg28OK2R9wdo6mnk4HvRsSWiPg98BOgI8+PmujJ4mZgjqS9JO1AdqJoec0wy4G3pe4TgOsiO3u0HDgxXZWwFzAH+HmH4u60EdeTpKnAvwNnRcRPOhZx5424jiLiFRExOyJmA58G/iEi/qVTgXfQaH5vK4B5kp6SNo5/DtzRobg7bTT1dA/wKgBJTwUOAX7Zkai7fWVAuz/Aa4FfkV198KFUthg4NnXvRHaFyjqyZPCc3LgfSuOtBV7T7WWpYj0BZ5O1od6a+zyj28tTpTqqmca5TNCroUZbR8ApZBcA/CfwiW4vSxXrCdg5la8hS6YLOxWzH/dhZmaFJnozlJmZjQEnCzMzK+RkYWZmhZwszMyskJOFmZkVcrKwjpL07XRvRiVIekV6yumtkno7NM+ftnn657byZFtJfZI+O8J5LZC0TysxSVos6cjU/T5JTxnJvK2znCysI5TZLiJeGxGbux1PzpuBj0XEiyJicKwmmm4sqysiXjZW8xkLEdEfEWeMcPQFZE9obmV+50TED1Lv+8ienmoV52RhpUk6T9J7cv3nSjpT0s6Srk0PgFst6bj0/ez0zP5/I7vRaqak9ZL2SN8vU/YOjDWSTstN9yFJ/1fSbZJulPTMVP5MSd9M5bdJelkqP0XSz9PRwZck9dSJ/QhJq1J8F6Y78/8KeCPwUUlfqxl+tqRfSvpaem/AVcN7wJIOlHRDin2FpGel8uslfVpSP/DeJvE+lJvPQkk3S7pd0kea1XOj4VP5hyT9StJ/AHMb/P++IumLkvrTsK9L5YdJukbSdun/MzU3zq/TcsyWdF2a77XK3s3xMuBYYGmq+70lvSvFd5ukb9Q7akhxnCDpDLJnHP1Q0g8lvUPSp3PDvUvSp+oti3VBt+9k9Gf8fMjeXXFDrv8OsufXbA88LZXtQXbXqYDZwOPAIblx1gN7pO7d099esmTy9NQfwDGp+xPA2an7cuB9qbuH7Hk5LwC+BUxJ5Z8ne0ZVPu6dyJ7g+bzU/2+56XwFOKHOss5OcRya+i8EzgSmAD8FpqXyNwEXpu7rgc/npvGkeFP3Q+nvUcD5qa62A64BXtmknhsNfyCwmmwP/Wmp/p90l3ha1u+mceeQPY9pJ+Aw4Jo0zGeAU1P3wcAPUve3gLel7ncAy+rV3/D/MHUvAf42dZ87HFN+HLZdH3Ymu6N5+H/5U2Bet9d7f7KPnzprpUXEKknPkDQdmAY8EBEbJE0B/kHSK8mSwwzgmWm0uyPixgaTPEPS61P3TLIN2H1kz+i/JpWvBF6dul8FvDXFMgQ8KOktZBvLm5U90bUX+H3NfOYCv4mIX6X+i4H3kD2nqZkN8cTzri4BziDb2O4HfD/Nr4fscdHDLs91PynemukflT6rUv/OwJyIuKBBPb+33vDALsA3I3sAH5JqnzOUd0VEPA78WtJdwPNrvr8cOAe4iPTSnVT+UuD41P1VsiRez36SlgBTU3wrmsSyjcieynsd8DpJvyBLGqvLjm/t5WRhrbqS7MFmf8YTG5I3k23UDoyILcqerjr8Ssw/1ZuIpMOAI4GXRsTDkq7PjbMl0q4l2eOYm62nAi6OiHa8XrL2WTiR5rcmIl7aYJy6y9uAyM6XfKnOd/Xque7wkt7XwjzrLVPez4DnSppGdj5iSQvThuyoYUFE3Cbp7WRHLa34MvD3ZA/Hu6jFca2NfM7CWnU52R7nCWQbNMiag36fEsXhwLNLTGdXsj3mhyU9n+zpmUWuBf4aQFKPpF1T2QmSnpHKd5dUO/+1wGxJz039bwFuKDG/WZKGk8LJwH+kaU0bLlf2TuR9W4g3bwXwDmUvR0LSjOHloH49Nxr+R8ACSb2SdgGOabJMb0jnJvYme63n2vyXKUl/E/gk8IuIuC999dMUD2Q7Bz9O3X8kO7IZtgvw23S0+eYmcQzbZvyIuInsKPNk4NIS41uHOFlYSyJiDdmPeyAihptfvgb0SVpN1uxS5pHJ3wW2T80N5wGNmqry3gscnuazkuy9xXeQPfn2e5JuB74PPKsm5v8BTgWuTOM+DnyxxPzWAu9JMe4GfCGy12CeAHxc0m1kT9ltdHXTk+Ktiet7wNeBn6VhriJtOOvVc6PhI+IWsuRyG/AdskdgN3IP2VNMvwO8O9VNrcvJngCbb1L7W+DUVMdvScsG2StBFyq7eGBv4P8AN5G9Z6HMenA+8F1JP8yVXQH8JCIeKDG+dYifOmtWh6TZZCd99+tyKGNG0lfIlumqbsfSjKRryN4s6LfkVYiPLMysEiRNlfQrYNCJonp8ZGFmZoV8ZGFmZoWcLMzMrJCThZmZFXKyMDOzQk4WZmZW6P8DizQ1pctr3SkAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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FW501M+thRVud7e1qqGp+xsHMrKberoaq5ObKzczq8pnFMD/jYGZWl5PFMD/jYGPhKkyb4JwshvkZBxstN9NiPcDJYpifcbDRchWm9QAni2ElfEDHuoSrMK0H+G6oSiV7QMe6RAnbGLLesGjZULEH+MaBzyzMxspVmNYBTTVnPg6cLMzGylWY1gFNNWc+DlwNZTYeXIVpbdZUc+bjwGcWZmZdqKnmzMeBk4WZWRdqqjnzceBqKDOzLtRUc+bjwMnCzKxEmrkd9oh9prUsOVRzsjAzK4nh22GH73Iavh0WaFtSqMfXLMzMSqLdt8M2w8nCzKwk2n07bDOcLMzMSqLdt8M2w8nCzKwk2n07bDN8gdvMrCTafTtsM5wszMxKpJ23wzbD1VBmZpbLycLMzHI5WZiZWS4nCzMzy+VkYWZmuXw3lJn1rHa+w7rbOVmYWU8qc6N9ZeRqKDPrSWVutK+MnCzMrCeVudG+MmppspB0iKRVklZLOrVG/9dJ+qWkTZKOquq3WdKt6bO4lXGaWe8pc6N9ZdSyZCGpD7gAOBTYE3i7pD2rBrsHeCdwaY1JbIiIl6bP4a2K08x6U5kb7SujVl7g3hdYHRF3AUi6DJgP3D48QESsSf2ebGEcZmbPUOZG+8qolcliGnBvxfe1wH5NjL+NpEFgE3B2RCyqHkDSicCJADNmzBhDqGbWi8raaF8ZlfkC964RMQAcC3xe0u7VA0TEhRExEBEDU6ZMaX+EZmY9opVnFkPA9Irvu6SyQiJiKP29S9L1wD7AneMZoNlEVsYHzsoYkxXTymRxC7CHpFlkSeIYsrOEXJJ2AB6LiMcl7QTsD5zbskjNJpgyPnBW1pi6OXm1M/7caihJ50p6jqRJkq6RtE7ScXnjRcQm4CRgCXAHcEVErJR0hqTD07RfIWkt8Fbgy5JWptFfDAxKWg5cR3bN4vZnzsXMainjA2dli2k4eQ2t30DwdPJatKxwBUhHtTv+Itcs3hgRfwLeDKwBXgAsKDLxiPh+RLwwInaPiE+nstMjYnHqviUidomIbSPiuRGxVyr/WUTMiYiXpL9fGc3CmfWqMj5wVraYypa8mtXu+Iski+Gqqr8BvhURD7ckEjMbN2V84GzysyY1Vd5qZUtezWp3/EWSxdWSfg28HLhG0hTgLy2JxszGRRkfOItorrzVyphQm9Hu+HOTRUScCrwaGIiIjcCjZA/XmVlJHbHPNM46cg7TJvcjYNrkfs46ck5HL94+vGFjU+WtVsaE2ox2x597N5SktwI/jIjNkj4BvAw4E/hDSyIys3FRtgfOpk7uZ6hGFUmnjuS7/QnudsevyDkHlLQiIuZKeg1ZkjgPOD0imnkau+UGBgZicHCw02GYWR3Vt85CdiTc6TOeXidpaXoAuqEi1yyGf9m/AS6MiO8BW40lODPrPWWsGrPiijyUNyTpy8AbgHMkbU25mwkxs5IqW9WYFVckWRwNHAJ8JiLWS3o+BZ+zMOsV3f4ksFme3GQREY9JuhOYJ2kecGNE/Kj1oZl1hzI2Y2E23oo09/FB4BvAzunzdUkfaHVgZt2i258ENiuiSDXUu4H9IuJRAEnnAD8H/q2VgZl1i25/EtisiCIXqsXTd0SRutWacMy6T7c/CWxWRJFkcTFws6SFkhYCNwFu2M8s6fYngc2KKHKB+7Pp5UOvSUUnRMSylkZl1kW6/UlgsyLqJgtJO1Z8XZM+T/WLiAdbF5ZZd/HzAzbRNTqzWAoET1+fGG4XRKl7txbGZWZmJVI3WUTErHYGYmZm5dXKd3Cb9Qw/wW0TnZOF2Rj5CW7rBW4Q0GyM/AS39YJCyULSaySdkLqnSPL1DLPET3BbLyjSNtQngVOA01LRJODrrQzKrJv4CW7rBUXOLN4CHE727m0i4j7g2a0MyqyblPUJ7kXLhtj/7GuZder32P/sa1m0bKij8Vh3K3KB+4mICEkBIGnbFsdk1lXK+AS3L7rbeCuSLK5Ib8qbLOk9wLuA/2htWGbdpWxPcDe66F6mOK17FGkb6jOS3gD8CZgNnB4RP255ZGY2ar7obuOtYbKQ1Af8JCIOBJwgzLrE1Mn9DNVIDL7obqPV8AJ3RGwGnpS0fZviMbNxUNaL7ta9ilyzeAS4TdKPSXdEAUTEyS2LyszGpIwX3a27FUkWV6WPmXWRsl10t+5W5AL3Je0IxMzMyis3WUjaAzgL2BPYZrg8Ivw+CzOzHlGkGupi4JPA54ADgRNwA4TWYW4S3Ky9iuz0+yPiGkARcXdELAT+prVhmdU3/HTy0PoNBE8/nezmLMxap0iyeFzSFsBvJZ0k6S3Adi2Oy6wuNwlu1n5FksUHgWcBJwMvB44Dji8ycUmHSFolabWkU2v0f52kX0raJOmoqn7HS/pt+hSan/UGP51s1n51k4Wkr6XOV0fEIxGxNiJOiIi/jYib8iacnv6+ADiU7OL42yXtWTXYPcA7gUurxt2R7DrJfsC+wCcl7VBwmWyCc5PgZu3X6Mzi5ZKmAu+StIOkHSs/Baa9L7A6Iu6KiCeAy4D5lQNExJqIWAE8WTXuPODHEfFgRDxE1tTIIYWXyiY0P51s1n6N7ob6EnANsBuwFFBFv0jljUwD7q34vpbsTKGIWuM+41YXSScCJwLMmDGj4KSt2/npZLP2q3tmERHnR8SLgYsiYreImFXxKcUzFhFxYUQMRMTAlClTOh2OmdmEVffMoqKq6eO1qp0i4sGcaQ8B0yu+75LKihgCDqga9/qC49oE5xf7mLVfo2qopWTVTTCyCgqKVUPdAuwhaRbZzv8Y4NiCcS0B/qXiovYbefod4Nbj/GIfs/armywiYtZYJhwRmySdRLbj7yOrzlop6QxgMCIWS3oF8B1gB+AwSf8cEXtFxIOSPkWWcADOKHAmYz3Ct86atV+jaqiXNRoxIn6ZN/GI+D7w/aqy0yu6byGrYqo17kXARXnzsN7jF/uYtV+jaqh/bdAvgNePcyxmhSyYN3vENQvwrbNmrdaoGurAdgZiVpRvnTVrvyJNlD8L+AgwIyJOTE2Wz46Iq1senZVCGVt49Yt9zNqrSNtQFwNPAK9O34eAM1sWkZWKW3g1MyiWLHaPiHOBjQAR8RjPvJXWJii38GpmUCxZPCGpn/TMhaTdgcdbGpWVhm9TNTMoliwWAj8Epkv6Bll7UR9rZVBWHm7h1cygQLKIiB8BR5I1Jf5NYCAirm9tWFYWbuHVzKDY3VBfB24AboyIX7c+JCsT36ZqZlCsGuorwPOBf5N0l6RvS/pgi+MyM7MSyT2ziIjrJP038ArgQOC9wF7AF1ocm5WAW3g1MyhWDXUNsC3wc+BG4BURcX+rA+tVZXsAzi28mhkUq4ZaQfZQ3t7AXGDvdCutjbMyPgDnW2fNDIrdDfXhiHgd2R1RD5A90b2+1YH1ojI+AOdbZ80MCiQLSSdJuhxYBswnazb80FYH1ovKeBTvW2fNDApcswC2AT4LLI2ITS2Op6eV8T0NvnXWzKDY3VCfaUcgVt73NLiFVzMrcmZhbeKjeDMrKyeLkvFRvJmVUZFbZ83MrMc5WZiZWS4nCzMzy+VkYWZmuZwszMwsl5OFmZnlcrIwM7NcThZmZpbLycLMzHI5WZiZWS4nCzMzy+VkYWZmuZwszMwsl5OFmZnlcrIwM7NcThZmZparpclC0iGSVklaLenUGv23lnR56n+zpJmpfKakDZJuTZ8vtTLOMlm0bIj9z76WWad+j/3PvpZFy4Y6HZKZWevelCepD7gAeAOwFrhF0uKIuL1isHcDD0XECyQdA5wDvC31uzMiXtqq+Mpo0bKhEe/gHlq/gdOuug3Ab88zs45q5ZnFvsDqiLgrIp4ALgPmVw0zH7gkdV8JHCRJLYyp1M5bsuqpRDFsw8bNnLdkVYciMjPLtDJZTAPurfi+NpXVHCYiNgEPA89N/WZJWibpBkmvrTUDSSdKGpQ0uG7duvGNvgPuW7+hqXIzs3Yp6wXu3wMzImIf4CPApZKeUz1QRFwYEQMRMTBlypS2Bznepk7ub6rczKxdWpkshoDpFd93SWU1h5G0JbA98EBEPB4RDwBExFLgTuCFLYy1FBbMm03/pL4RZf2T+lgwb3aHIjIzy7QyWdwC7CFplqStgGOAxVXDLAaOT91HAddGREiaki6QI2k3YA/grhbGWgpH7DONs46cw7TJ/QiYNrmfs46c44vbZtZxLbsbKiI2SToJWAL0ARdFxEpJZwCDEbEY+ArwNUmrgQfJEgrA64AzJG0EngTeGxEPtirWMjlin2lODmZWOoqITscwLgYGBmJwcLDTYZiZdRVJSyNiIG+4sl7gNjOzEnGyMDOzXE4WZmaWy8nCzMxyOVmYmVkuJwszM8vlZGFmZrmcLMzMLJeThZmZ5XKyMDOzXE4WZmaWy8nCzMxyOVmYmVkuJwszM8vlZGFmZrmcLMzMLJeThZmZ5XKyMDOzXE4WZmaWa8tOB1Ami5YNcd6SVdy3fgNTJ/ezYN5sjthnWqfDMjPrOCeLZNGyIU676jY2bNwMwND6DZx21W0AThhm1vNcDZWct2TVU4li2IaNmzlvyaoORWRmVh5OFsnQ+g1NlZuZ9RInC7IqqHr6pDZGYmZWTj2fLIavVdSzOaKN0ZiZlVPPJ4ta1yoqTZvc38ZozMzKqeeTxX0Nrkn0T+pjwbzZbYzGzKycej5ZTK1z5tAncdaRc3zbrJkZThYsmDebSX0jL2JP6hP/evRLnCjMzJKeTxYAVF/D9jVtM7MRej5ZnLdkFRufHJkdNj4ZfhjPzKxCzyeLehe4G134NjPrNT2fLOpd4K5XbmbWi3o+WSyYN5v+SX0jynzLrJnZSD3f6uzwHU9umtzMrL6WnllIOkTSKkmrJZ1ao//Wki5P/W+WNLOi32mpfJWkea2K8ROLbuP/XLGcofUb2ELiwBdNcaIwM6vSsmQhqQ+4ADgU2BN4u6Q9qwZ7N/BQRLwA+BxwThp3T+AYYC/gEOCLaXrj6hOLbuPrN93zVPtPmyP4+k338IlF9duKMjPrRa08s9gXWB0Rd0XEE8BlwPyqYeYDl6TuK4GDJCmVXxYRj0fE74DVaXrj6ps339tUuZlZr2plspgGVO5116aymsNExCbgYeC5BcdF0omSBiUNrlu3rukA67Uo65ZmzcxG6uq7oSLiwogYiIiBKVOmND1+vXdV+B0WZmYjtTJZDAHTK77vkspqDiNpS2B74IGC447Z2/eb3lS5mVmvamWyuAXYQ9IsSVuRXbBeXDXMYuD41H0UcG1ERCo/Jt0tNQvYA/jFeAd45hFzOO6VM546k+iTOO6VMzjziDnjPSszs67WsucsImKTpJOAJUAfcFFErJR0BjAYEYuBrwBfk7QaeJAsoZCGuwK4HdgEvD8i6r+haAzOPGKOk4OZWQ7FBLmYOzAwEIODg50Ow8ysq0haGhEDecN19QVuMzNrDycLMzPL5WRhZma5nCzMzCzXhLnALWkdcPcYJrET8MdxCmei8jrK53VUjNdTvnato10jIvep5gmTLMZK0mCROwJ6mddRPq+jYrye8pVtHbkayszMcjlZmJlZLieLp13Y6QC6gNdRPq+jYrye8pVqHfmahZmZ5fKZhZmZ5XKyMDOzXBM+WUg6RNIqSaslnVqj/9aSLk/9b5Y0s6Lfaal8laR57Yy73Ua7niS9QdJSSbelv69vd+ztMpZtKfWfIekRSR9tV8ztNsb/t7mSfi5pZdqetmln7O00hv+3SZIuSevnDkmntS3oiJiwH7Km0e8EdgO2ApYDe1YN8z7gS6n7GODy1L1nGn5rYFaaTl+nl6mE62kfYGrq3hsY6vTylG0dVfS/EvgW8NFOL0/Z1hHZ6xJWAC9J35/r/7ea6+lY4LLU/SxgDTCzHXFP9DOLfYHVEXFXRDwBXAbMrxpmPnBJ6r4SOEiSUvllEfF4RPwOWJ2mNxGNej1FxLKIuC+VrwT6JW3dlqjbayzbEpKOAH5Hto4mqrGsozcCKyJiOUBEPBAteodNCYxlPQWwbXqzaD/wBPCndgQ90ZPFNODeiu9rU1nNYSJiE/Aw2VFNkXEnirGsp0p/C/wyIh5vUZydNOp1JGk74BTgn9sQZyeNZTt6IRCSlkj6paSPtSECdCRXAAAHcUlEQVTeThnLeroSeBT4PXAP8JmIeLDVAUML35RnvUXSXsA5ZEeINtJC4HMR8Ug60bBn2hJ4DfAK4DHgmvRSnms6G1bp7AtsBqYCOwA3SvpJRNzV6hlP9DOLIWB6xfddUlnNYdKp3fbAAwXHnSjGsp6QtAvwHeAdEXFny6PtjLGso/2AcyWtAT4E/FN65fBEM5Z1tBb474j4Y0Q8BnwfeFnLI+6MsaynY4EfRsTGiLgf+CnQlvajJnqyuAXYQ9IsSVuRXShaXDXMYuD41H0UcG1kV48WA8ekuxJmAXsAv2hT3O026vUkaTLwPeDUiPhp2yJuv1Gvo4h4bUTMjIiZwOeBf4mIf29X4G00lv+3JcAcSc9KO8e/Bm5vU9ztNpb1dA/wegBJ2wKvBH7dlqg7fWdAqz/Am4DfkN198PFUdgZweOrehuwOldVkyWC3inE/nsZbBRza6WUp43oCPkFWh3prxWfnTi9PmdZR1TQWMkHvhhrrOgKOI7sB4FfAuZ1eljKuJ2C7VL6SLJkuaFfMbu7DzMxyTfRqKDMzGwdOFmZmlsvJwszMcjlZmJlZLicLMzPL5WRhbSXp++nZjFKQ9NrUyumtkvrbNM+ftXj6C5tp2VbSgKTzRzmvIyTt2UxMks6QdHDq/pCkZ41m3tZeThbWFspsERFvioj1nY6nwt8BZ0XESyNiw3hNND1YVlNEvHq85jMeImIwIk4e5ehHkLXQ3Mz8To+In6SvHyJrPdVKzsnCCpN0tqT3V3xfKOmjkraTdE1qAO42SfNT/5mpzf7/InvQarqkNZJ2Sv0XKXsHxkpJJ1ZM9xFJn5a0XNJNkp6Xyp8n6TupfLmkV6fy4yT9Ip0dfFlSX43YD5K0LMV3UXoy/x+Ao4FPSfpG1fAzJf1a0jfSewOuHD4ClvRySTek2JdIen4qv17S5yUNAh9sEO8jFfNZIOkWSSsk/XOj9Vxv+FT+cUm/kfQ/wOw6v99XJX1J0mAa9s2p/ABJV0vaIv0+kyvG+W1ajpmSrk3zvUbZuzleDRwOnJfW/e6S3pPiWy7p27XOGlIcR0k6mayNo+skXSfpXZI+XzHceyR9rtayWAd0+klGf7rnQ/buihsqvt9O1n7NlsBzUtlOZE+dCpgJPAm8smKcNcBOqXvH9LefLJk8N30P4LDUfS7widR9OfCh1N1H1l7Oi4HvApNS+RfJ2qiqjHsbshY8X5i+/1fFdL4KHFVjWWemOPZP3y8CPgpMAn4GTEnlbwMuSt3XA1+smMYz4k3dj6S/bwQuTOtqC+Bq4HUN1nO94V8O3EZ2hP6ctP6f8ZR4WtYfpnH3IGuPaRvgAODqNMwXgBNS937AT1L3d4HjU/e7gEW11t/wb5i6zwQ+kLoXDsdUOQ4jt4ftyJ5oHv4tfwbM6fR270/2cauzVlhELJO0s6SpwBTgoYi4V9Ik4F8kvY4sOUwDnpdGuzsibqozyZMlvSV1TyfbgT1A1kb/1al8KfCG1P164B0pls3Aw5L+nmxneYuyFl37gfur5jMb+F1E/CZ9vwR4P1k7TY3cG0+3d/V14GSyne3ewI/T/PrImosednlF9zPirZr+G9NnWfq+HbBHRHylznr+YK3hgWcD34msAT4kVbczVOmKiHgS+K2ku4AXVfW/HDgduJj00p1U/irgyNT9NbIkXsveks4EJqf4ljSIZYTIWuW9FnizpDvIksZtRce31nKysGZ9i6xhs7/i6R3J35Ht1F4eERuVta46/ErMR2tNRNIBwMHAqyLiMUnXV4yzMdKhJVlzzI22UwGXREQrXi9Z3RZOpPmtjIhX1Rmn5vLWIbLrJV+u0a/Weq45vKQPNTHPWstU6efACyRNIbsecWYT04bsrOGIiFgu6Z1kZy3N+E/gn8gax7u4yXGthXzNwpp1OdkR51FkOzTIqoPuT4niQGDXAtPZnuyI+TFJLyJrPTPPNcA/Akjqk7R9KjtK0s6pfEdJ1fNfBcyU9IL0/e+BGwrMb4ak4aRwLPA/aVpThsuVvRN5rybirbQEeJeylyMhadrwclB7Pdcb/r+BIyT1S3o2cFiDZXprujaxO9lrPVdV9kxJ+jvAZ4E7IuKB1OtnKR7IDg5uTN1/JjuzGfZs4PfpbPPvGsQxbMT4EXEz2VnmscA3C4xvbeJkYU2JiJVk/9xDETFc/fINYEDSbWTVLkWaTP4hsGWqbjgbqFdVVemDwIFpPkvJ3lt8O1nLtz+StAL4MfD8qpj/ApwAfCuN+yTwpQLzWwW8P8W4A/D/InsN5lHAOZKWk7WyW+/upmfEWxXXj4BLgZ+nYa4k7Thrred6w0fEL8mSy3LgB2RNYNdzD1krpj8A3pvWTbXLyVqAraxS+wBwQlrHf5+WDbJXgi5QdvPA7sD/BW4me89Cke3gQuCHkq6rKLsC+GlEPFRgfGsTtzprVoOkmWQXfffucCjjRtJXyZbpyk7H0oikq8neLOi35JWIzyzMrBQkTZb0G2CDE0X5+MzCzMxy+czCzMxyOVmYmVkuJwszM8vlZGFmZrmcLMzMLNf/BwsjxVzBm4b2AAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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PIzIzq2Fyv0mwbMr4ZjMzsxp85lEmfh6RmXUJJ48y8fOIzKxLOHmUiZ9HZGZdwsmjTPy4FDPrEk4eZeLnEZlZl/DVVmXj5xGZWRfwmYeZmRXm5GFmZoU5eZiZWWFOHmZmVpiTh5mZFebkYWZmhflSXTOzElmyYoALl63mgY2DzJjWy8L5c1lwwMwxjzvenDzMzEpiyYoBzr5uJYObhgAY2DjI2detBHhWUigybiu42srMrCQuXLZ6SzIYNrhpiAuXrR7TuK3g5GFmVhIDGwdzlz9QZ9x65ePNycPMrCR6pNzlM6b11hizfvl4c/IwMyuJoYjc5Qvnz6V3Ss+Ist4pPSycP7clsVVz8jAzK4mZdc4aapUvOGAmbzxw5pazkh6JNx44s21XWzl5mJmVRJGziSUrBrh2+cCWs5KhCK5dPsCSFQNtidXJw8ysJBYcMJPzT5jHzGm9iOyM4/wT5tU8m+j01Va+z8PMrEQWHJCv6slXW5mZWWG+2srMzArr9NVWrrYyM+tCw1VbfraVmZkVkrd9pBVcbWVmZoU5eZiZWWFOHmZmVlhLk4ekoyWtlrRG0lk1hr9G0s8kbZZ0YtWwIUk/T5+lrYzTzMyKaVmDuaQe4DPAkcB64A5JSyPi7orR7gfeDpxZYxaDEbF/q+Izs/br5JvvuiGebtLKq60OAtZExL0Akq4Ajge2JI+IWJuGPd3COMysBDr95ruyx9NtWlltNRNYV9G/PpXltZ2kfkm3SVpQawRJ707j9G/YsGEssZpZi3X6WUxlj6fblLnBfPeI6ANOBj4lac/qESLi4ojoi4i+6dOntz9CM8ut089iyrvcTsXTbVqZPAaAWRX9u6ayXCJiIP29F7gFOGA8gzOz9ur0s5jyLrdT8XSbpslD0sclPVfSFEk3Stog6ZQc874D2EvSHEnbACcBua6akrSTpG1T9y7AK6loKzGz5pasGOCVF9zEnLO+ySsvuKlt73mop9PPYqp22Etq11bUK7eR8px5HBURfwCOAdYCLwIWNpsoIjYDpwPLgF8CV0XEKkmLJB0HIOnlktYDbwI+L2lVmvylQL+kO4GbgQuqrtIyswaGG4MHNg4SPNMY3MkEUuRdFe1w869qt5PWK7eR8lxtNTzOXwFXR8SjqvOS9moR8S3gW1Vl51Z030FWnVU93Y+BebkWYmbP0qgxuJNXEnXyWUzV3OYxNnnOPG6Q9CvgQOBGSdOBP7U2LDMbCx8Ym3Obx9g0TR4RcRbwCqAvIjYBj5Pdr2FmJeUDY3Nla4PpNnkazN8EbIqIIUnnAF8BZrQ8MjMbNR8YmytbG0y3ydPm8c8RcbWkVwFHABcC/w0c3NLIzGzUOv2ioHrK9jiQMrXBdJs8yWO41e2vgIsj4puSFrcwJjMbB2U7MPpxIBNLngbzAUmfB94CfCvdf1HmO9PNrIT8OJCJJU8SeDPZvRrzI2IjsDM57vMwM6vkK8AmlqbVVhHxhKR7gPmS5gM/jIjvtj40MxuLsrUvzJjWy0CNROErwLpTnqut3gd8FXh++nxF0j+0OjAzG70y3mHuK8AmljwN5u8EDo6IxwEkfQz4CfCfrQzMzEavjHeYl/UKMBudPMlDPHPFFak73/NJzKwjytq+ULYrwGz08iSPS4HbJV2f+hcAX2xdSGY2Vm5fsFbL83iSTwCnAQ+nz2kR8alWB2Zmo+f2BWu1umceknau6F2bPluGRcTDrQvLzMbC7QvWao2qrZYDwTPtG5H+KnXv0cK4zGyM3L5grVQ3eUTEnHYGYmZm3cOPGTEzs8KcPMzMrDAnDzMzKyxX8pD0Kkmnpe7pktweYmY2ieV5ttW/AB8Czk5FU8jeJmhmZpNUnjOPNwDHkb27nIh4ANixlUGZmVm55UkeT0VEkO7zkLR9a0MyM7Oyy5M8rkpvEpwm6V3A94H/aW1YZmZWZnleBvXvko4E/gDMBc6NiO+1PDIzMyuthslDUg/w/Yg4DHDCMDMzoEm1VUQMAU9LmtqmeMzMrAvkeZ/HY8BKSd8jXXEFEBFntCwqMzMrtTzJ47r0MTMzA/I1mF/ejkDMutk5S1by9dvXMRRBj8RbD57F4gXzOh2WWcs0TR6S9gLOB/YGthsujwi/z8OMLHF85bb7t/QPRWzpdwKxiSrPfR6XAv8NbAYOA76EH09itsXXb19XqNxsIsjT5tEbETdKUkTcB5wnaTlwbotjM6tryYqB0rxidSiiULnZRJAneTwpaSvgN5JOBwaAHVoblpVJmQ7Uw/Gcfd1KBjcNATCwcZCzr1sJ0JG4eqSaiaJHqjG22cSQp9rqfcBzgDOAA4FTgFNbGZSVx/CBemDjIMEzB+olKwY6FtOFy1ZvSRzDBjcNceGy1R2J560HzypUbjYR1E0ekr6cOl8REY9FxPqIOC0i3hgRt+WZuaSjJa2WtEbSWTWGv0bSzyRtlnRi1bBTJf0mfZysOqRsB2qABzYOFipvtcUL5nHKIbttOdPokTjlkN3cWG4TWqNqqwMlzQDeIelLwIhz8Ih4uNGM06NNPgMcCawH7pC0NCLurhjtfuDtwJlV0+4M/AvQR/Y03+Vp2kdyrZWNm7IdqAGm9k5h4+CmmuWdsnjBPCcLm1QaJY/PATcCewDLGZk8IpU3chCwJiLuBZB0BXA8sCV5RMTaNOzpqmnnA98bTlDp7vajga83WaaNsxnTehmokShmTOvtQDSZek0JbmIwa5+61VYRcVFEvBS4JCL2iIg5FZ8893jMBCqvVVyfyvLINa2kd0vql9S/YcOGnLO2IhbOn0vvlJ4RZb1Telg4f26HIoKNTzz7rKNRuZmNv0ZtHjun6qMPD3dXftoYY10RcXFE9EVE3/Tp0zsdzoS04ICZnH/CPGZO60XAzGm9nH/CvI5ebVXvrKeTZ0Nmk02jaqvlpLcHUtXeQb5qqwGg8nKTXVNZHgPAoVXT3pJzWhtnCw6Y2dFkUW3h/LkjLtWFzp8NmU02dZNHRMwZ47zvAPaSNIcsGZwEnJxz2mXAv0naKfUfBZw9xnhsghhOZGW698RssqmbPCT9eaMJI+JnTYZvTjcVLgN6yNpOVklaBPRHxFJJLweuB3YCjpX0kYjYJyIelvRRsgQEsKjZ1V02uZTtbMhsslHUeYSCpJsbTBcRcXhrQhqdvr6+6O/v73QYZmZdRdLyiOgrOl2jaqvDxhaSmZlNVE0fTyLpOZLOkXRx6t9L0jGtD83MzMoq7yPZnwJekfoHgMUti8jMzEovT/LYMyI+DmwCiIgnePalu2ZmNonkSR5PSeol3fMhaU/gyZZGZWZmpZbnfR7nAd8BZkn6KvBKsocZmpnZJNU0eUTEd9ObAw8hq656X0T8vuWRmZlZaTVNHpK+AtwK/DAiftX6kMzMrOzytHl8EXgh8J+S7pV0raT3tTguMzMrsTzVVjdL+gHwcuAw4D3APsCnWxybmZmVVJ5qqxuB7YGfAD8EXh4RD7Y6MDMzK6881VZ3kd0kuC+wH7BvunTXzMwmqTzVVv8IIGlHskt0LwX+DNi2pZGZmVlp5am2Oh14NXAgsBa4hKz6yszMJqk8NwluB3wCWB4Rm1scj5XQkhUDfvGSmY2Qp9rq39sRiJXTkhUDI175OrBxkLOvWwngBGI2ieVpMLdJ7MJlq0e8KxxgcNMQFy5b3aGIzKwMnDysoQc2DhYqN7PJwcnDGpoxrfZV2fXKzWxycPKwhhbOn0vvlJ4RZb1Telg4f26HIjKzMshztZVNYsON4r7ayswqOXlYUwsOmOlkYWYjuNrKzMwKc/IwM7PCnDzMzKwwJw8zMyvMycPMzApz8jAzs8J8qW7J+Am2ZtYNnDxKxE+wNbNu4WqrEvETbM2sWzh5lIifYGtm3cLJo0SmPWdKoXIzs05x8iiRiGLlZmad0tLkIeloSaslrZF0Vo3h20q6Mg2/XdLsVD5b0qCkn6fP51oZZ1k8OripULmZWae07GorST3AZ4AjgfXAHZKWRsTdFaO9E3gkIl4k6STgY8Bb0rB7ImL/VsVXRjOm9TJQo33DL14ys7Jp5ZnHQcCaiLg3Ip4CrgCOrxrneODy1H0N8DpJamFMpeYXL5lZt2hl8pgJrKvoX5/Kao4TEZuBR4HnpWFzJK2QdKukV9dagKR3S+qX1L9hw4bxjb4DFhwwk/NPmMfMab0ImDmtl/NPmOd7PMysdMp6k+DvgN0i4iFJBwJLJO0TEX+oHCkiLgYuBujr65sQzcp+8ZKZdYNWnnkMALMq+ndNZTXHkbQ1MBV4KCKejIiHACJiOXAP8OIWxmpmZgW0MnncAewlaY6kbYCTgKVV4ywFTk3dJwI3RURImp4a3JG0B7AXcG8LYzUzswJaVm0VEZslnQ4sA3qASyJilaRFQH9ELAW+CHxZ0hrgYbIEA/AaYJGkTcDTwHsi4uFWxWpmZsUoJsgdaH19fdHf39/pMMzMuoqk5RHRV3Q632FuZmaFOXmYmVlhTh5mZlaYk4eZmRXm5GFmZoU5eZiZWWFOHmZmVpiTh5mZFebkYWZmhTl5mJlZYU4eZmZWWFnf59ERS1YMcOGy1TywcZAZ03pZOH+u361hZlaDk0eyZMUAZ1+3ksFNQwAMbBzk7OtWAjiBmJlVcbVVcuGy1VsSx7DBTUNcuGx1hyIyMysvJ4/kgY2DhcrNzCYzJ49kxrTeQuVmZpOZk0eycP5ceqf0jCjrndLDwvlzOxSRmVl5ucE8GW4U99VWZmbN+czDzMwK85lH4kt1zczy85lH4kt1zczyc/JIfKmumVl+Th6JL9U1M8vPySPxpbpmZvm5wZxnHog4uGmIHomhCGb6Ul0zs7omffKovspqKGLLGYcTh5lZbZO+2spXWZmZFTfpk4evsjIzK27SJ4+pvVMKlZuZmZMHUrFyMzNz8mDjE5sKlZuZmZOHbw40MxuFSZ88fHOgmVlxk/4+D7/Hw8ysuEmfPCBLIE4WZmb5tTR5SDoa+DTQA3whIi6oGr4t8CXgQOAh4C0RsTYNOxt4JzAEnBERy1oR4zlLVvL129cxFEGPxFsPnsXiBfNasSgzswmjZW0eknqAzwCvB/YG3ipp76rR3gk8EhEvAj4JfCxNuzdwErAPcDTw2TS/cXXOkpV85bb7GYoAskeTfOW2+zlnycrxXpSZ2YTSygbzg4A1EXFvRDwFXAEcXzXO8cDlqfsa4HWSlMqviIgnI+K3wJo0v3H19dvXFSo3M7NMK5PHTKDyKLw+ldUcJyI2A48Cz8s5LZLeLalfUv+GDRsKBzh8xpG33MzMMl19qW5EXBwRfRHRN3369MLT99S5jbxeuZmZZVqZPAaAWRX9u6aymuNI2hqYStZwnmfaMXvrwbMKlZuZWaaVyeMOYC9JcyRtQ9YAvrRqnKXAqan7ROCmiIhUfpKkbSXNAfYCfjreAS5eMI9TDtlty5lGj8Qph+zmq63MzJpo2aW6EbFZ0unAMrJLdS+JiFWSFgH9EbEU+CLwZUlrgIfJEgxpvKuAu4HNwHsjYqjmgsZo8YJ5ThZmZgUpJkjjcF9fX/T393c6DDOzriJpeUT0FZ2uqxvMzcysM5w8zMysMCcPMzMrzMnDzMwKmzAN5pI2APeNYRa7AL8fp3AmKm+j5ryN8vF2aq5d22j3iCh8l/WESR5jJal/NFccTCbeRs15G+Xj7dRc2beRq63MzKwwJw8zMyvMyeMZF3c6gC7gbdSct1E+3k7NlXobuc3DzMwK85mHmZkV5uRhZmaFTfjkIeloSaslrZF0Vo3h20q6Mg2/XdLsimFnp/LVkua3M+52G+12knSkpOWSVqa/h7c79nYZy76Uhu8m6TFJZ7Yr5nYb4/dtP0k/kbQq7U/btTP2dhrD922KpMvT9vmlpLPbHfsWETFhP2SPgr8H2APYBrgT2LtqnL8HPpe6TwKuTN17p/G3Beak+fR0ep1KuJ0OAGak7n2BgU6vT9m2UcXwa4CrgTM7vT5l20Zkr4e4C3hZ6n+ev281t9PJwBWp+znAWmB2J9Zjop95HASsiYh7I+Ip4Arg+KpxjgcuT93XAK+TpFR+RUQ8GRG/Bdak+U1Eo95OEbEiIh5I5auAXknbtiXq9hrLvoSkBcBvybbRRDWWbXQUcFdE3AkQEQ9bQhf/AAAH0UlEQVRFi97hUwJj2U4BbJ/evNoLPAX8oT1hjzTRk8dMYF1F//pUVnOciNgMPEr2qyfPtBPFWLZTpTcCP4uIJ1sUZyeNehtJ2gH4EPCRNsTZSWPZj14MhKRlkn4m6YNtiLdTxrKdrgEeB34H3A/8e0Q83OqAa2nZmwRtcpG0D/Axsl+QNtJ5wCcj4rF0ImLPtjXwKuDlwBPAjeklRTd2NqzSOQgYAmYAOwE/lPT9iLi33YFM9DOPAWBWRf+uqazmOOlUcCrwUM5pJ4qxbCck7QpcD7wtIu5pebSdMZZtdDDwcUlrgfcD/5Re0TzRjGUbrQd+EBG/j4gngG8Bf97yiDtjLNvpZOA7EbEpIh4EfgR05PlXEz153AHsJWmOpG3IGp6WVo2zFDg1dZ8I3BRZa9RS4KR01cMcYC/gp22Ku91GvZ0kTQO+CZwVET9qW8TtN+ptFBGvjojZETEb+BTwbxHxX+0KvI3G8n1bBsyT9Jx0sHwtcHeb4m63sWyn+4HDASRtDxwC/KotUVfr9JUHrf4Afwn8muzqhg+nskXAcal7O7IrYNaQJYc9Kqb9cJpuNfD6Tq9LGbcTcA5ZHezPKz7P7/T6lGkbVc3jPCbo1VZj3UbAKWQXFPwC+Hin16WM2wnYIZWvIkuuCzu1Dn48iZmZFTbRq63MzKwFnDzMzKwwJw8zMyvMycPMzApz8jAzs8KcPKytJH0r3RtSCpJenZ7i+nNJvW1a5o9bPP/zijy5V1KfpItGuawFkvYuEpOkRZKOSN3vl/Sc0SzbOsvJw9pCma0i4i8jYmOn46nw18D5EbF/RAyO10zTjW41RcQrxms54yEi+iPijFFOvoDsCdRFlnduRHw/9b6f7Omw1mWcPCw3SRdIem9F/3mSzpS0g6Qb0wPtVko6Pg2fnd5Z8CWyG79mSVoraZc0fImyd4CskvTuivk+JulfJd0p6TZJL0jlL5B0fSq/U9IrUvkpkn6azh4+L6mnRuyvk7QixXdJenLA3wJvBj4q6atV48+W9CtJX03vTbhm+BeypAMl3ZpiXybphan8FkmfktQPvK9BvI9VLGehpDsk3SXpI422c73xU/mHJf1a0v8Cc+v8/y6T9DlJ/WncY1L5oZJukLRV+v9Mq5jmN2k9Zku6KS33RmXvJnkFcBxwYdr2e0p6V4rvTknX1jqrSHGcKOkMsmc03SzpZknvkPSpivHeJemTtdbFSqDTd1r60z0fsnd33FrRfzfZ83e2Bp6bynYhuytWwGzgaeCQimnWAruk7p3T316y5PK81B/Asan748A5qftK4P2pu4fseT8vBb4BTEnlnyV7xlZl3NuRPaH0xan/SxXzuQw4sca6zk5xvDL1XwKcCUwBfgxMT+VvAS5J3bcAn62Yx7PiTd2Ppb9HARenbbUVcAPwmgbbud74BwIryX7BPzdt/2fdxZ7W9Ttp2r3Inie1HXAocEMa59PAaan7YOD7qfsbwKmp+x3Aklrbb/h/mLoXA/+Qus8bjqlyGkbuDzuQ3XE9/L/8MTCv0/u9P7U/fqqu5RYRKyQ9X9IMYDrwSESskzQF+DdJryFLFjOBF6TJ7ouI2+rM8gxJb0jds8gOaA+RvaPghlS+HDgydR8OvC3FMgQ8KulvyA6edyh7Ym0v8GDVcuYCv42IX6f+y4H3kj1nqpF18czzur4CnEF28N0X+F5aXg/Z47GHXVnR/ax4q+Z/VPqsSP07AHtFxBfrbOf31Rof2BG4PrIHCiKp+jlJla6KiKeB30i6F3hJ1fArgXOBS0kvIUrlfwGckLq/TJbUa9lX0mJgWopvWYNYRojsqcM3AcdI+iVZElmZd3prLycPK+pqsge1/RnPHFj+muwgd2BEbFL29NjhV4g+Xmsmkg4FjgD+IiKekHRLxTSbIv30JHv8dKP9VMDlEdGK13FWP7sn0vJWRcRf1Jmm5vrWIbL2ls/XGFZrO9ccX9L7Cyyz1jpV+gnwIknTydozFheYN2RnFQsi4k5Jbyc7qyniC8A/kT3s79KC01obuc3DirqS7BfpiWQHOMiqjx5MieMwYPcc85lK9ov6CUkvIXs6aDM3An8HIKlH0tRUdqKk56fynSVVL381MFvSi1L/3wC35ljebpKGk8TJwP+meU0fLlf2Tul9CsRbaRnwDmUvi0LSzOH1oPZ2rjf+D4AFknol7Qgc22Cd3pTaNvYkew3q6sqBKWlfD3wC+GVEPJQG/TjFA9mPhR+m7j+SnfkM2xH4XTob/esGcQwbMX1E3E52Fnoy8PUc01uHOHlYIRGxiuzLPhARw9U1XwX6JK0kq6bJ84jo7wBbp+qJC4B6VVuV3gcclpaznOy9z3eTPdn3u5LuAr4HvLAq5j8BpwFXp2mfBj6XY3mrgfemGHcC/juy14aeCHxM0p1kTxGud/XUs+Ktiuu7wNeAn6RxriEdSGtt53rjR8TPyJLNncC3yR75Xc/9ZE9p/TbwnrRtql1J9oTbyiq4fwBOS9v4b9K6QfYK1YXKLkbYE/hn4Hay90zk2Q8uBr4j6eaKsquAH0XEIzmmtw7xU3XNapA0m6wRed8OhzJuJF1Gtk7XdDqWRiTdQPbmRb9FsMR85mFmpSBpmqRfA4NOHOXnMw8zMyvMZx5mZlaYk4eZmRXm5GFmZoU5eZiZWWFOHmZmVtj/BwkIsu+mBhzNAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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J2bg13N7ks7fmeviou2N6+LKyk0mZuDVcG8/8ZtN8evTAxMmkTHxN2cazHj7qLqv5i4e4dOEKHl4/zNTJ/cydPYs5hzVqtap9nEzKxNeUbbzr0aPuMpq/eIjzb1rG8Kbs7rih9cOcf9MygK4kFFfAl4kfEDSznC5duOLpRDJieNNmLl24oivxOJmUSQ/fyWFmnfXw+uGWytvNyaRMytq8g5mVztTJ/S2Vt5vrTMrG15TNLIe5s2dtU2cC0D+pj7mzZ3UlHicTM7MeNFLJ7ru5zMyskDmHTeta8qjmZGJmViJlenakFU4mZmYlUbZnR1rhu7nMzEqibM+OtMLJxMysJMr27EgrnEzMzEqibM+OtMLJxMw6Zv7iIY66+Db2P++bHHXxbcxfPNTtkEpl7uxZ9E/q26asm8+OtMIV8GbWEb1cudwpcw6bxuCD6/jq3avZHEGfxF8eXv/23zLd+eUzEzPriF6uXO6U+YuH+NqiITZHALA5gq8tGqp5BjeSnIfWDxNsTc7dOttzMjGzjujlyuVOaSXhli05O5mYWUf0cuVyp7SScMuWnJ1MzKwjerlyuVNaSbhlS85OJmbWEXMOm8bH33QI0yb3I2Da5H4+/qZDXPleoZWEW7bk7Lu5zKxjytQwYRm10hJw2VoNVqS7BnrdwMBADA4OdjsMM7OeImlRRAwUnY8vc5mZWWFOJmZmVpiTiZmZFeZkYmZmhTmZmJlZYb412Mw6pkwNE9rYcjIxs45wq8Hjmy9zmVlHlK1hQhtbbU0mko6XtELSSknn1Rj+Kkk/lfSUpJOrhm2W9LP0WdDOOM2s/crWMKGNrbZd5pLUB1wOvBZYA9wjaUFE3Fsx2kPAO4BzasxiOCJe0q74zKyzpk7uZ6hG4nCrweNDO89MjgBWRsQDEbERuBY4qXKEiFgVEUuBLW2Mw8xKoGwNE9rYamcymQasruhfk8ry2kXSoKS7JM2pNYKkM9M4g2vXri0Sq5m1mVsNHt/KfDfXfhExJOm5wG2SlkXE/ZUjRMQVwBWQNfTYjSDNLD+3Gjx+tTOZDAHTK/r3TWW5RMRQ+vuApDuAw4D7G05kZtYCP/cydtp5mese4ABJ+0vaCTgFyHVXlqS9JO2cuvcBjgLubTyVmVl+I8+9DK0fJtj63Mv8xbmPea1C02Qi6ROSniFpkqRbJa2VdFqz6SLiKeAsYCHwC+D6iFgu6UJJb0jzfqmkNcCbgc9LWp4mfxEwKGkJcDtwcdVdYGZmhfi5l7GV5zLX6yLig5LeCKwC3gR8H/hSswkj4lvAt6rKLqjovofs8lf1dD8CDskRm5nZqPi5l7GV5zLXSML5C+CGiNjQxnjMzDqi3vMtfu5ldPIkk5sl3QccDtwqaQrwx/aGZWZFzV88xFEX38b+532Toy6+zXUBVY554ZSWyq2xppe5IuI8SZ8ANkTEZkmPU/XwoZmVixtVbO72+2o/m1av3BrLUwH/ZmBTSiQfJqsrmdr2yMxs1Fy53JzrTMZWnstc/xQRf5D0CuA44AvAf7Q3LDMrwj+UzbnOZGzlSSYjhzd/AVwREd8EdmpfSGZWlH8om3NbYWMrTzIZkvR54K3At9LDhH4PilmJ+YeyObcVNrYU0bhJK0m7AscDyyLiV5KeAxwSEd/pRIB5DQwMxODgYLfDMCsNNxVieUhaFBEDReeT526uJyTdD8yWNBv4QdkSiZltz40qWifluZvrfcCXgWelz5ck/X27AzMzs96RpzmVdwEvi4jHASRdAvwY+Ld2BmZmZr0jT0W62HpHF6lb7QnHzMx6UZ4zk6uAuyV9PfXPIXvWxMzMDMhXAf/J9HKqV6SiMyJicVujMjOznlI3mUjau6J3Vfo8PSwi1rUvLDMz6yWNzkwWAcHW+pGRB1KUup/bxrjMzKyH1E0mEbF/JwMxM7PelacC3sx6kJ+At05yMjEbh/w+E+s0N9hoNg75fSbWabmSiaRXSDojdU+R5PoUsxLz+0ys05pe5pL0EWAAmEX2AOMksrctHtXe0Mx6R9nqJ6ZO7meoRuLw+0ysXfKcmbwReAPwOEBEPAzs0c6gzHrJSP3E0Pphgq31E/MXD3UtJr/PxDotTzLZGNlLTwJA0m7tDcmst5SxfsIvfrJOy3M31/XpTYuTJb0beCfwn+0Ny6x3lLV+wu8zsU7K0zbXv0p6LfB7snqTCyLiu22PzKxHuH7CrEkykdQHfC8ijgGcQMxqOOaFU/jSXQ/VLDebKBrWmUTEZmCLpD07FI9Zz7n9vrUtlZuNR3nqTB4Dlkn6LumOLoCIOLttUZn1kLLWmZh1Up5kclP6mJVGmZ7rcJ2JWb4K+Gs6EYhZXmVrd2ru7FnbxAN+psMmnqbPmUg6QNKNku6V9MDIpxPBmdVStuc6/EyHWf53wH8E+BRwDHAGbiDSuqiMdRR+psMmujxJoT8ibgUUEQ9GxDzgL9oblll9k3ed1FK5mbVfnjOTJyXtAPxK0lnAELB7e8Myqy+itXIza788ZybvA3YFzgYOB04DTs8zc0nHS1ohaaWk82oMf5Wkn0p6StLJVcNOl/Sr9Mm1PJsYNgxvaqnczNqvbjKR9MXU+fKIeCwi1kTEGRHxlxFxV7MZp6fnLwdOAA4E3ibpwKrRHgLeAXylatq9yeppXgYcAXxE0l4518nGuXq33PpWXLPuaXRmcrikqcA7Je0lae/KT455HwGsjIgHImIjcC1wUuUIEbEqIpYCW6qmnQ18NyLWRcSjZE25HJ97rWxcc/PqZuXTqM7kc8CtwHOBRYAqhkUqb2QasLqifw3ZmUYetabd7lYZSWcCZwLMmDEj56yt143cNVWWhxbNrEEyiYjLgMsk/UdE/G0HY8otIq4ArgAYGBhw9esE4ltxzcqlbjKpuJT1oVqXtSJiXZN5DwHTK/r3TWV5DAFHV017R85pbYyVqekSMyunRpe5FpHersi2l7gg32Wue4ADJO1PlhxOAU7NGddC4F8qKt1fB5yfc1obQ/MXDzH3hiVs2pLtCkPrh5l7wxKgO02XmFk5NbrMtX+RGUfEU+m5lIVAH3BlRCyXdCEwGBELJL0U+DqwF3CipI9GxEERsU7Sx8gSEsCFOc6ErA3mLVj+dCIZsWlLMG/BcicTM3tao8tcf9powoj4abOZR8S3gG9VlV1Q0X0P2SWsWtNeCVzZbBnWXuvrPLtRr9zMJqZGl7n+T4NhAbxmjGMxM7Me1egy1zGdDMTKaa9dJ/HoE9ufhezldrDMrEKeJuh3lfRhSVek/gMkvb79oVkZfOTEg5jUt+39F5P6xEdOPKhLEZlZGeVpm+sqYCPw8tQ/BFzUtoisVOYcNo1LT37xNu/quPTkF7vy3cy2kafV4OdFxFslvQ0gIp6QVH2rsI1jfkDQzJrJc2ayUVI/6ZkTSc8DnmxrVGZm1lPynJnMA74NTJf0ZeAospZ+zczMgBzJJCK+I2kRcCTZk/Dvi4jftT0yMzPrGU2TiaQvAXcCP4iI+9ofkpmZ9Zo8dSZfAJ4D/JukByR9TdL72hyXmZn1kDyXuW6X9H3gpcAxwHuAg4DPtDk2MzPrEXkuc90K7Ab8GPgB8NKI+G27AzMzs96R5zLXUrKHFg8GDgUOTrcKm5mZAfkuc/0DgKQ9yG4Jvgr4E2DntkZmZmY9I89lrrOAVwKHA6vImoX/QXvDmrj8VkMz60V5HlrcBfgksCginmpzPBPa/MVDnH/TMoY3bQaytxqef9MywG81NLNya1pnEhH/GhF3O5G036ULVzydSEYMb9rMpQtXdCkiM7N88lTAW4c8vH64pXIzs7JwMimRPftrv3CqXrmZWVk4mZRIvYb93eC/mZWdk0mJrK/xetxG5WZmZeFkUiJTJ9d+FrReuZlZWTiZlMjc2bPon9S3TVn/pD7mzp7VpYjMzPLJ85yJdcjIsyR+aNHMeo2TScn4fetm1ot8mcvMzApzMjEzs8KcTMzMrDAnEzMzK8zJxMzMCnMyMTOzwpxMzMysMCcTMzMrzMnEzMwKczIxM7PC2ppMJB0vaYWklZLOqzF8Z0nXpeF3S5qZymdKGpb0s/T5XDvjNDOzYtrWNpekPuBy4LXAGuAeSQsi4t6K0d4FPBoRz5d0CnAJ8NY07P6IeEm74jMzs7HTzjOTI4CVEfFARGwErgVOqhrnJOCa1H0jcKzk9wqamfWadiaTacDqiv41qazmOBHxFLABeGYatr+kxZLulPTKWguQdKakQUmDa9euHdvozcwst7JWwP8GmBERhwEfAL4i6RnVI0XEFRExEBEDU6ZM6XiQZmaWaWcyGQKmV/Tvm8pqjiNpR2BP4JGIeDIiHgGIiEXA/cAL2hirmZkV0M5kcg9wgKT9Je0EnAIsqBpnAXB66j4ZuC0iQtKUVIGPpOcCBwAPtDFWMzMroG13c0XEU5LOAhYCfcCVEbFc0oXAYEQsAL4AfFHSSmAdWcIBeBVwoaRNwBbgPRGxrl2xmplZMYqIbscwJgYGBmJwcLDbYZiZ9RRJiyJioOh8yloBb2ZmPcTJxMzMCnMyMTOzwpxMzMysMCcTMzMrzMnEzMwKczIxM7PCnEzMzKwwJxMzMyvMycTMzApzMjEzs8KcTMzMrDAnEzMzK8zJxMzMCnMyMTOzwpxMzMysMCcTMzMrzMnEzMwKczIxM7PCnEzMzKywHbsdQJnMXzzEpQtX8PD6YaZO7mfu7FnMOWxat8MyMys9J5Nk/uIhzr9pGcObNgMwtH6Y829aBuCEYmbWhC9zJZcuXPF0IhkxvGkzly5c0aWIzMx6h5NJMrR+uKVyMzPbyskk6ZNaKjczs62cTMjqSzZH1BxWr9zMzLaa8MlkpOK9nmmT+zsYjZlZb5rwyaRWxfuI/kl9zJ09q8MRmZn1ngmfTB5uUMH+8Tcd4tuCzcxymPDJZGqdy1jTJvc7kZiZ5TThk8kxL5zSUrmZmW1vwieT2+9b21K5mZltb8Ink3p1Jo3qUszMbFsTPpnUqzOpV25mZtub8Mlk7uxZ9E/q26bMtwSbmbWmrclE0vGSVkhaKem8GsN3lnRdGn63pJkVw85P5SskzW5XjIMPruOPFc+Z7LZTn28JNjNrUduSiaQ+4HLgBOBA4G2SDqwa7V3AoxHxfOBTwCVp2gOBU4CDgOOBz6b5jakPz1/Gl+56iMoGUx7fuJnBB9eN9aLMzMa1dp6ZHAGsjIgHImIjcC1wUtU4JwHXpO4bgWMlKZVfGxFPRsSvgZVpfmPqq3evbqnczMxqa2cymQZU/iqvSWU1x4mIp4ANwDNzToukMyUNShpcu7b1W3nduKOZ2djo6Qr4iLgiIgYiYmDKlNYfMnSz82ZmY6OdyWQImF7Rv28qqzmOpB2BPYFHck5b2NteNr2lcjMzq62dyeQe4ABJ+0vaiaxCfUHVOAuA01P3ycBtERGp/JR0t9f+wAHAT8Y6wIvmHMJpR854+kykT+K0I2dw0ZxDxnpRZmbj2o7tmnFEPCXpLGAh0AdcGRHLJV0IDEbEAuALwBclrQTWkSUc0njXA/cCTwHvjYja7cQXdNGcQ5w8zMwKUoyTyuaBgYEYHBzsdhhmZj1F0qKIGCg6n56ugDczs3JwMjEzs8KcTMzMrDAnEzMzK2zcVMBLWgs8WGAW+wC/G6Nwxitvo+a8jfLxdmquU9tov4go/GrZcZNMipI0OBZ3NIxn3kbNeRvl4+3UXK9tI1/mMjOzwpxMzMysMCeTra7odgA9wNuoOW+jfLydmuupbeQ6EzMzK8xnJmZmVpiTiZmZFTbuk4mk4yWtkLRS0nk1hu8s6bo0/G5JMyuGnZ/KV0ia3cm4O22020nSayUtkrQs/X1Np2PvlCL7Uho+Q9Jjks7pVMydVvD7dqikH0tanvanXToZeycV+L5NknRN2j6/kHR+p2OvKyLG7Yes6fv7gecCOwFLgAOrxvk74HOp+xTgutR9YBp/Z2D/NJ++bq9TCbfTYcDU1H0wMNTt9SnbNqoYfiNwA3BOt9enbNuI7HUYS4EXp/5n+vtWczudClybuncFVgEzu71OETHuz0yOAFZGxAMRsRG4FjipapyTgGtS943AsZKUyq+NiCcj4tfAyjS/8WjU2ykiFkfEw6l8OdAvaeeORN1ZRfbNJXRNAAAH5UlEQVQlJM0Bfk22jcarItvodcDSiFgCEBGPRJveYVQCRbZTALulN9P2AxuB33cm7MbGezKZBqyu6F+TymqOExFPARvIjoryTDteFNlOlf4S+GlEPNmmOLtp1NtI0u7AucBHOxBnNxXZj14AhKSFkn4q6YMdiLdbimynG4HHgd8ADwH/GhHr2h1wHm1706JNLJIOAi4hO8K0bc0DPhURj6UTFdvejsArgJcCTwC3ppc23drdsErnCGAzMBXYC/iBpO9FxAPdDWv8n5kMAdMr+vdNZTXHSaeOewKP5Jx2vCiynZC0L/B14K8j4v62R9sdRbbRy4BPSFoFvB/4x/RK6/GmyDZaA3w/In4XEU8A3wL+tO0Rd0eR7XQq8O2I2BQRvwV+CJSi/a7xnkzuAQ6QtL+kncgqshZUjbMAOD11nwzcFlnt1gLglHRXxf7AAcBPOhR3p416O0maDHwTOC8iftixiDtv1NsoIl4ZETMjYibwaeBfIuLfOxV4BxX5vi0EDpG0a/rxfDVwb4fi7rQi2+kh4DUAknYDjgTu60jUzXT7DoB2f4A/B35JdvfEh1LZhcAbUvcuZHfYrCRLFs+tmPZDaboVwAndXpcybifgw2TXcH9W8XlWt9enTNuoah7zGKd3cxXdRsBpZDco/Bz4RLfXpYzbCdg9lS8nS7Zzu70uIx83p2JmZoWN98tcZmbWAU4mZmZWmJOJmZkV5mRiZmaFOZmYmVlhTibWUZK+lZ5NKQVJr0yt1P5MUn+HlvmjNs9/XistE0sakHTZKJc1R9KBrcQk6UJJx6Xu90vadTTLtnJxMrGOUGaHiPjziFjf7Xgq/BXw8Yh4SUQMj9VM04N3NUXEy8dqOWMhIgYj4uxRTj6HrIXtVpZ3QUR8L/W+n6z1W+txTiaWm6SLJb23on+epHMk7S7p1tRA3zJJJ6XhM9M7G/6b7EG06ZJWSdonDZ+v7B0oyyWdWTHfxyT9s6Qlku6S9OxU/mxJX0/lSyS9PJWfJukn6ezi85L6asR+rKTFKb4rU8sGfwO8BfiYpC9XjT9T0n2SvpzeG3HjyBG0pMMl3ZliXyjpOan8DkmfljQIvK9BvI9VLGeupHskLZX00Ubbud74qfxDkn4p6X+BWXX+f1dL+pykwTTu61P50ZJulrRD+v9MrpjmV2k9Zkq6LS33VmXvZnk58Abg0rTtnyfp3Sm+JZK+VuusI8VxsqSzydqYul3S7ZLeKenTFeO9W9Knaq2LlVC3n5r0p3c+ZO8uubOi/16y9oN2BJ6RyvYhe2pXwExgC3BkxTSrgH1S997pbz9Zsnlm6g/gxNT9CeDDqfs64P2pu4+svaIXAd8AJqXyz5K1EVYZ9y5kLbC+IPX/d8V8rgZOrrGuM1McR6X+K4FzgEnAj4ApqfytwJWp+w7gsxXz2C7e1P1Y+vs64Iq0rXYAbgZe1WA71xv/cGAZ2RH+M9L23+4p+7Su307THkDWHtYuwNHAzWmczwBnpO6XAd9L3d8ATk/d7wTm19p+I//D1H0R8Pepe95ITJXTsO3+sDvZE+Ej/8sfAYd0e7/3J9/HrQZbbhGxWNKzJE0FpgCPRsRqSZOAf5H0KrLkMQ14dprswYi4q84sz5b0xtQ9newH7hGydzTcnMoXAa9N3a8B/jrFshnYIOntZD+m9yhrkbcf+G3VcmYBv46IX6b+a4D3krWT1cjq2Nre2JeAs8l+jA8GvpuW10fWHPiI6yq6t4u3av6vS5/FqX934ICI+EKd7fy+WuMDewBfj6yBRCRVt/NU6fqI2AL8StIDwAurhl8HXABcRXopUyr/M+BNqfuLZEm+loMlXQRMTvEtbBDLNiJrVfk24PWSfkGWVJblnd66y8nEWnUDWcNzf8LWH5q/IvvROzwiNilrHXfklauP15qJpKOB44A/i4gnJN1RMc2mSIemZM1tN9pPBVwTEe14fWl1W0ORlrc8Iv6szjQ117cOkdXXfL7GsFrbueb4kt7fwjJrrVOlHwPPlzSFrD7kohbmDdlZx5yIWCLpHWRnPa34L+AfyRovvKrFaa2LXGdirbqO7Ij1ZLIfPMguN/02JZJjgP1yzGdPsiPuJyS9kKz102ZuBf4WQFKfpD1T2cmSnpXK95ZUvfwVwExJz0/9bwfuzLG8GZJGksapwP+meU0ZKVf2Tu6DWoi30kLgncpenoWkaSPrQe3tXG/87wNzJPVL2gM4scE6vTnVjTyP7LWxKyoHpiT+deCTwC8i4pE06EcpHsgOHn6Quv9AdmY0Yg/gN+ls9a8axDFim+kj4m6ys9RTga/mmN5KwsnEWhIRy8m+/EMRMXJ558vAgKRlZJd18jSJ/W1gx3Q542Kg3qWwSu8DjknLWUT23ux7yVou/o6kpcB3gedUxfxH4AzghjTtFuBzOZa3AnhvinEv4D8ie83qycAlkpaQtZJc7+6s7eKtius7wFeAH6dxbiT9sNbazvXGj4ifkiWfJcAtZE2c1/MQWSu0twDvSdum2nVkLfhWXrL7e+CMtI3fntYNslfOzlV2c8PzgH8C7iZ7z0ae/eAK4NuSbq8oux74YUQ8mmN6Kwm3GmxWg6SZZJXSB3c5lDEj6Wqydbqx27E0IulmsjdT+i2LPcRnJmZWCpImS/olMOxE0nt8ZmJmZoX5zMTMzApzMjEzs8KcTMzMrDAnEzMzK8zJxMzMCvv/fKTTo1/YYP4AAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "\n",
+ "for n_voters in df['number-of-voters'].unique():\n",
+ " df_qv = df[(df['number-of-voters'] == n_voters) & (df['voting-mechanism'] == \"QV\")].sort_values('variance-of-perceived-pivotality')\n",
+ " df_1p1v = df[(df['number-of-voters'] == n_voters) & (df['voting-mechanism'] == \"1p1v\")]\n",
+ " plt.plot(df_qv['variance-of-perceived-pivotality'], df_qv['wellfare-loss'], 'o')\n",
+ " plt.plot(df_1p1v['variance-of-perceived-pivotality'], df_1p1v['wellfare-loss'], 'o')\n",
+ " plt.xlabel('variance of percieved pivotality')\n",
+ " plt.ylabel('wellfare loss')\n",
+ " plt.title('wellfare loss vs perceived pivotality, n_voters={}; $\\mu$=0'.format(n_voters))\n",
+ " plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "# Wellfare Loss Prop 8 Calibration\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "## The Data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 97,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": [
+ "df8 = pd.read_csv('2020.02.07 - QVoting-NormalizedPivotality 1p1v-vs-QV-prop8-mean>0.csv')\n",
+ "df8.rename(columns={'variance-of-perceived-pivotality': 'variance-of-pmp'}, inplace=True)\n",
+ "df8['wellfare-loss'] = 1 - df8['mean payoff-sign-list']\n",
+ "df8_1p1v = df8[(df8['voting-mechanism'] == \"1p1v\")]\n",
+ "df8_QV = df8[(df8['voting-mechanism'] == \"QV\")]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 69,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " [run number] \n",
+ " number-of-voters \n",
+ " calibration \n",
+ " marginal-pivotality \n",
+ " variance-of-pp \n",
+ " voting-mechanism \n",
+ " [step] \n",
+ " mean payoff-sign-list \n",
+ " mean payoff-list \n",
+ " standard-deviation payoff-list \n",
+ " mean vote-sum-list \n",
+ " standard-deviation vote-sum-list \n",
+ " mean mean-median-same-sign-list \n",
+ " wellfare-loss \n",
+ " \n",
+ " \n",
+ " \n",
+ " \n",
+ " 0 \n",
+ " 1 \n",
+ " 11 \n",
+ " 1. prop8-mean>0 \n",
+ " 0.5 \n",
+ " 0.0000 \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.787 \n",
+ " 1.513758 \n",
+ " 3.798378 \n",
+ " -0.346000 \n",
+ " 3.372189 \n",
+ " 0.787 \n",
+ " 0.213 \n",
+ " \n",
+ " \n",
+ " 1 \n",
+ " 2 \n",
+ " 11 \n",
+ " 1. prop8-mean>0 \n",
+ " 0.5 \n",
+ " 0.0000 \n",
+ " QV \n",
+ " 1000 \n",
+ " 1.000 \n",
+ " 2.586638 \n",
+ " 3.359160 \n",
+ " 0.602044 \n",
+ " 2.032860 \n",
+ " 0.780 \n",
+ " 0.000 \n",
+ " \n",
+ " \n",
+ " 2 \n",
+ " 3 \n",
+ " 11 \n",
+ " 1. prop8-mean>0 \n",
+ " 0.5 \n",
+ " 0.0003 \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.759 \n",
+ " 1.539862 \n",
+ " 4.396764 \n",
+ " -0.608000 \n",
+ " 3.249753 \n",
+ " 0.759 \n",
+ " 0.241 \n",
+ " \n",
+ " \n",
+ " 3 \n",
+ " 4 \n",
+ " 11 \n",
+ " 1. prop8-mean>0 \n",
+ " 0.5 \n",
+ " 0.0003 \n",
+ " QV \n",
+ " 1000 \n",
+ " 0.985 \n",
+ " 2.585631 \n",
+ " 3.256052 \n",
+ " 0.653345 \n",
+ " 1.982123 \n",
+ " 0.770 \n",
+ " 0.015 \n",
+ " \n",
+ " \n",
+ " 4 \n",
+ " 5 \n",
+ " 11 \n",
+ " 1. prop8-mean>0 \n",
+ " 0.5 \n",
+ " 0.0010 \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.805 \n",
+ " 1.477022 \n",
+ " 3.996354 \n",
+ " -0.342000 \n",
+ " 3.347573 \n",
+ " 0.805 \n",
+ " 0.195 \n",
+ " \n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " [run number] number-of-voters calibration marginal-pivotality \\\n",
+ "0 1 11 1. prop8-mean>0 0.5 \n",
+ "1 2 11 1. prop8-mean>0 0.5 \n",
+ "2 3 11 1. prop8-mean>0 0.5 \n",
+ "3 4 11 1. prop8-mean>0 0.5 \n",
+ "4 5 11 1. prop8-mean>0 0.5 \n",
+ "\n",
+ " variance-of-pp voting-mechanism [step] mean payoff-sign-list \\\n",
+ "0 0.0000 1p1v 1000 0.787 \n",
+ "1 0.0000 QV 1000 1.000 \n",
+ "2 0.0003 1p1v 1000 0.759 \n",
+ "3 0.0003 QV 1000 0.985 \n",
+ "4 0.0010 1p1v 1000 0.805 \n",
+ "\n",
+ " mean payoff-list standard-deviation payoff-list mean vote-sum-list \\\n",
+ "0 1.513758 3.798378 -0.346000 \n",
+ "1 2.586638 3.359160 0.602044 \n",
+ "2 1.539862 4.396764 -0.608000 \n",
+ "3 2.585631 3.256052 0.653345 \n",
+ "4 1.477022 3.996354 -0.342000 \n",
+ "\n",
+ " standard-deviation vote-sum-list mean mean-median-same-sign-list \\\n",
+ "0 3.372189 0.787 \n",
+ "1 2.032860 0.780 \n",
+ "2 3.249753 0.759 \n",
+ "3 1.982123 0.770 \n",
+ "4 3.347573 0.805 \n",
+ "\n",
+ " wellfare-loss \n",
+ "0 0.213 \n",
+ "1 0.000 \n",
+ "2 0.241 \n",
+ "3 0.015 \n",
+ "4 0.195 "
+ ]
+ },
+ "execution_count": 69,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df8[0:5]"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "## Wellfare Loss of 1p1v and QV vs number of voters on one graph (for paper)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 99,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": [
+ "adf_1p1v = df8_1p1v.groupby(['number-of-voters']).aggregate('mean').reset_index()\n",
+ "adf_1p1v['voting-mechanism'] = \"1p1v\"\n",
+ "adf_1p1v['PMP-color'] = 'NA'\n",
+ "\n",
+ "pdf_qv = df8_QV[df8_QV['variance-of-pmp'].isin([0.0003, 0.02, 0.083])].copy()\n",
+ "pdf_qv['PMP-color'] = pdf_qv['variance-of-pmp'].apply(lambda x: \"=\" + str(x))\n",
+ "\n",
+ "\n",
+ "\n",
+ "# QV RDRM voters\n",
+ "df10 = pd.read_csv('2020.07.10 QV-right-direction-random-magnitude-prop8.csv')\n",
+ "df10['wellfare-loss'] = 1 - df10['mean payoff-sign-list']\n",
+ "df10['PMP-color'] = 'QV-RDRM'\n",
+ "df10 = df10[pdf_qv.columns]\n",
+ "\n",
+ "#\n",
+ "\n",
+ "cdf = pdf_qv.append(df10, sort=False)\n",
+ "cdf = cdf.append(adf_1p1v, sort=False).reset_index()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 100,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "f, ax1 = plt.subplots(figsize=(4, 3))\n",
+ "sns.scatterplot(x=\"number-of-voters\",\n",
+ " y=\"wellfare-loss\",\n",
+ " style='voting-mechanism',\n",
+ " data=cdf,\n",
+ " hue='PMP-color',\n",
+ " ax=ax1)\n",
+ "\n",
+ "ax1.set(xscale=\"log\",ylim=(0,1))\n",
+ "ax1.set_xlabel(\"Number of Voters (log scale)\", fontsize=12)\n",
+ "ax1.set_ylabel('Prop8 WL', fontsize=12)\n",
+ "ax1.tick_params(labelsize=10)\n",
+ "\n",
+ "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
+ "plt.savefig(\"figures/sQV_WL_vs_n_voters_prop8.png\", bbox_inches='tight', dpi=300)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "## Wellfare Loss of 1p1v vs number of voters"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 114,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Get mean across all data for same number of voters, since marginal pivotality doesn't matter for 1p1v\n",
+ "adf = df8_1p1v.groupby(['number-of-voters']).aggregate('mean').reset_index()\n",
+ "\n",
+ "# Plots\n",
+ "f, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 5))\n",
+ "sns.scatterplot(x=\"number-of-voters\", \n",
+ " y=\"wellfare-loss\",\n",
+ " data = adf,\n",
+ " ax=ax1)\n",
+ "\n",
+ "sns.scatterplot(x=\"number-of-voters\", \n",
+ " y=\"wellfare-loss\",\n",
+ " data = adf,\n",
+ " ax=ax2)\n",
+ "ax2.set(xscale=\"log\", xlabel = \"number-of-voters (log scale)\")\n",
+ "ax1.set(ylim=(0,1.01))\n",
+ "ax2.set(ylim=(0,1.01))\n",
+ "f.suptitle('1p1v wellfare loss vs n_voters - Prop 8 calibration $\\mu>0$')\n",
+ "plt.savefig('foo.png')\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "## Wellfare loss of QV vs number of voters"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "### Single Graph with Three variance-of-pp values "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 71,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "pdf = df8_QV[df8_QV['variance-of-pp'].isin([0, 0.0003, 0.04, 0.083])]\n",
+ "f, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 5))\n",
+ "sns.scatterplot(x=\"number-of-voters\", y=\"wellfare-loss\",\n",
+ " hue='variance-of-pp',\n",
+ " palette=\"ch:r=-.2,d=.3_r\",\n",
+ " data=pdf, ax=ax1)\n",
+ "\n",
+ "sns.scatterplot(x=\"number-of-voters\", y=\"wellfare-loss\",\n",
+ " hue='variance-of-pp',\n",
+ " palette=\"ch:r=-.2,d=.3_r\",\n",
+ " data=pdf, ax=ax2)\n",
+ "ax2.set(xscale=\"log\", xlabel = \"number-of-voters (log scale)\")\n",
+ "\n",
+ "plt.setp(ax1.get_legend().get_texts(), fontsize='10') # for legend text\n",
+ "plt.setp(ax1.get_legend().get_title(), fontsize='10') # for legend title\n",
+ "plt.setp(ax2.get_legend().get_texts(), fontsize='10') # for legend text\n",
+ "plt.setp(ax2.get_legend().get_title(), fontsize='10') # for legend title\n",
+ "\n",
+ "f.suptitle(\"QV wellfare loss vs n voters\", y=1)\n",
+ "\n",
+ "f.tight_layout()\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "### Separate Graphs for Each Variance-of-pp value"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 51,
+ "metadata": {
+ "hidden": true,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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w68mTaW1bTWNDPaOGNXowslm+OX6ZWc2qWHIXEW2STgF+BdQDV0TEI5LOAZojYg5wOXCNpAXAq2QBFABJzwAbA42SPgzsDzwL/CoFxnqywDgzbdJlW+urrk6MHjGkr5ozswHO8cvMapn64I/DmtXU1BTNzZ2fSGBmeSZpXkQ0Vbsf68vxy2zwKTd+1eINFWZmZmbWBSd3ZmZmZjni5M7MzMwsR5zcmZmZmeWIkzszMzOzHHFyZ2ZmZpYjTu7MzMzMcsTJnZmZmVmOOLkzMzMzyxEnd2ZmZmY54uTOzMzMLEec3JmZmZnliJM7MzMzsxxxcmdmZmaWI07uzMzMzHLEyZ2ZmZlZjji5MzMzM8sRJ3dmZmZmOVLR5E7SgZLmS1og6cwi64dIujGtv1fSuFQ+StJcSW9Iuqig/kaSfi7pcUmPSPpmwbrjJS2W9EB6/Wcl983M8s3xy8xqVcWSO0n1wMXAQcBE4COSJnaqdgLQEhE7AhcA56XyN4EvAqcXafr8iHgHsDswWdJBBetujIjd0uuHfbg7ZjaIOH6ZWS2r5Jm7PYAFEfFURLQCNwBTO9WZClyd3t8ETJGkiFgeEX8gC5JrRMSKiJib3rcC9wNjK7gPZjY4OX6ZWc2qZHK3NfBcwfLCVFa0TkS0AUuBUeU0LmlT4N+B3xYUHybpQUk3Sdqmi+1OlNQsqXnx4sXl7YmZDTaOX2ZWs2ryhgpJDcD1wIUR8VQq/ikwLiJ2BW5n7V/U64iIyyKiKSKaRo8e3T8dNjNLHL/MrNIqmdwtAgr/+hybyorWSQFvE2BJGW1fBjwREf/TURARSyJiVVr8ITCpl/02M3P8MrOaVcnk7j5ggqTxkhqBacCcTnXmAMel94cDd0REdNeopK+TBdH/6lS+ZcHiwcBj69F3MxvcHL/MrGY1VKrhiGiTdArwK6AeuCIiHpF0DtAcEXOAy4FrJC0AXiULoABIegbYGGiU9GFgf+B14GzgceB+SQAXpTvLTpN0MNCW2jq+UvtmZvnm+GVmtUwl/tDMtaampmhubq52N8ysH0maFxFN1e7H+nL8Mht8yo1fNXlDhZmZmZkV5+TOzMzMLEec3JmZmZnliJM7MzMzsxxxcmdmZmaWI07uzMzMzHLEyZ2ZmZlZjji5MzMzM8uRis1QkSft7cGS5a20tq2msaGeUcMaqatTtbtlZlZTHEvN+oeTuxLa24P5Ly1jxqxmFrasZOzIocw8tomdx4xwUDIzK5NjqVn/8WXZEpYsb10TjAAWtqxkxqxmlixvrXLPzMxqh2OpWf9xcldCa9vqNcGow8KWlbS2ra5Sj8zMao9jqVn/cXJXQmNDPWNHDl2nbOzIoTQ21FepR2Zmtcex1Kz/OLkrYdSwRmYe27QmKHWMExk1rLHKPTMzqx2OpWb9xzdUlFBXJ3YeM4JbT57sO7zMzHrJsdSs/zi5K0NdnRg9Yki1u2FmVtMcS836hy/LmpmZmeWIkzszMzOzHKlocifpQEnzJS2QdGaR9UMk3ZjW3ytpXCofJWmupDckXdRpm0mSHkrbXChJqXwzSbdLeiL9O7KS+2Zm+eb4ZWa1qmLJnaR64GLgIGAi8BFJEztVOwFoiYgdgQuA81L5m8AXgdOLNP0DYAYwIb0OTOVnAr+NiAnAb9Nyn2hvDxYvW8WilhUsXraK9vboq6bNbADKU/yqFMdFs4GrrORO0g6ShqT3e0s6TdKmJTbbA1gQEU9FRCtwAzC1U52pwNXp/U3AFEmKiOUR8QeyIFnYjy2BjSPiTxERwCzgw0XaurqgfL10TJlzyCV3M/m8uRxyyd3Mf2mZA5lZjXjyySdZtWoVAHfeeSfAFoMlflWK46LZwFbumbubgdWSdgQuA7YBflRim62B5wqWF6ayonUiog1YCowq0ebCLtocExEvpPcvAmNK9K8snjLHrLYddthh1NfXs2DBAk488USARgZJ/KoUx0Wzga3c5K49Ba9DgO9HxH8DW1auW+sn/VVc9E9ISSdKapbUvHjx4pJtecocs9pWV1dHQ0MDt956K6eeeipkSdWgiF+V4rhoNrCVm9y9JekjwHHAz1LZBiW2WUR2hq/D2FRWtI6kBmATYEmJNsd20eZL6bJHx+WPl4s1EBGXRURTRDSNHj26xC54yhyzWrfBBhtw/fXXc/XVV/OhD31oTXGJzXIRvyrFcdFsYCs3uZsOvA84NyKeljQeuKbENvcBEySNl9QITAPmdKozhyxhBDgcuCP91VpUumzxuqT3prvMjgV+UqSt4wrK14unzDGrbVdeeSX33HMPZ599NuPHj4fssuygiF+V4rhoNrCpm1hUfIPsFv1tIuLBMup+APgfoB64IiLOlXQO0BwRcyRtSBZkdwdeBaZFxFNp22eAjckC8WvA/hHxqKQm4CpgKPAL4NSICEmjgNnAtsCzwBER8Wp3/Wtqaorm5uaS+9zeHixZ3uopc8xqXEtLC5ttttmjEbFLqbp5iV+V4rho1v8kzYuIppL1yknuJN0JHEw2Xdk8sksGd0fEZ9azn1VV7eBoZpW39957M2fOHNra2pg0aRLPPPPMcuAyxy8zqzXlJnflXpbdJCJeBw4FZkXEPwP7rk8Hzcz6w9KlS9l444255ZZbOPbYYwEex/HLzHKs3OSuIQ3yPYK1N1SYmQ14bW1tvPDCC8yePbvwhgozs9wqN7k7B/gV8GRE3Cdpe+CJynXLzKxvfOlLX+KAAw5ghx124D3veQ9k4+Acv8wst3p8Q0We9OSGitffbGX5qtW0tQcb1NexxfAhNDRUdGpeM6uAcsesDHR5HnPX3c0aXa3zDR42GJQbvxrKbGws8H1gciq6C/hURCzseqt8aG8PFr22gpYVb3HydfezsGUlY0cO5dKPTuIdY0Y4wTMb4BYuXMipp57K3Xff3VG0g6SxgyF+1aKOqc06ZsDoeMzKzmNGABRdN2H0cJ5Y/EbRbZzg2WBUbmZyJdlzmLZKr5+mstxbsryVVW2xJrGD7EnsJ107j5ffWFXl3plZKdOnT+fggw/m+eef5/nnn4fs0SSDIn7Vou6mNutq3ctvrPJ0aGYFyk3uRkfElRHRll5XAdV7PHo/am1bTZ0oOtVO2+r2KvXKzMq1ePFipk+fTkNDAw0NDZDNIjEo4lct6m5qs67WvbW63dOhmRUoN7lbIumjkurT66N0P81ObjQ21NMeFJ1qp6Hel2TNBrpRo0Zx7bXXsnr1alavXg2wGYMkftWi7qY262rdBvV1ng7NrEC52cnHyB6D8iLwAtlUO9Mr1amBZNSwRoY0iEuOfvc6U+1c+tFJbDF8SJV7Z2alXHHFFcyePZt/+Id/YMsttwQYySCJX7Wou6nNulq3xfAhng7NrIDvlvXdsmaDiu+WHfh8t6xZcX1yt6yk7wPdTYR9Wi/6VnPq6sSmGw1h042q3RMzK9epp56KVPSX+zaSLhws8asW1dWJ0SOKXxnpal1325gNNqUehZLPPwvNLPeamrr843YF2RzZZma51G1yFxFXdy6T9A8R8WLlumRmtv6OO+64t5W9+OKLAEuKxTYzs7zozaCx2/q8F2Zm/eADH/hAtbtgZlZxZc1Q0cmgHKHqwbpmtW8w30BmGcdyGwx6c+ZuZp/3YoDrmA7nkEvuZvJ5cznkkruZ/9Iy2tv9i8KslsyYMaPaXbAqciy3waLs5E7SnpKmR8QlkkZLGl/Jjg0k3U2HY2YD3x/+8AeuvPJKTj75ZICGwRS/bC3HchssyrosK+nLQBOwM9mcjBsA1wKTK9e1gaO76XDMbGD76le/SnNzM/Pnz2f69OmQDS0ZNPHL1nIst8Gi3DN3hwAHA8sBIuJ5YESlOjXQdDcdjpkNbLfeeitz5sxh2LBhHUVvMYjil63lWG6DRbnJXWtkI5EDQNKwEvVJ9Q6UNF/SAklnFlk/RNKNaf29ksYVrDsrlc+XdEAq21nSAwWv1yX9V1r3FUmLCtb12W1x3U2HY2YDW2NjI5IKH2hcVtzLS/yytRzLbbAo927Z2ZL+F9hU0gyyuWa7vbFCUj1wMbAfsBC4T9KciHi0oNoJQEtE7ChpGnAecKSkicA0YBdgK+A3knaKiPnAbgXtLwJuLWjvgog4v8x9Kltdndh5zAhuPXmy77AyqzFHHHEEH//4x3nttdeYOXMmwE7AWd1tk6f4ZWs5lttgUVZyFxHnS9oPeJ1s3N2XIuL2EpvtASyIiKcAJN0ATAUKg+NU4Cvp/U3ARcr+vJ4K3BARq4CnJS1I7d1TsO0U4MmIeLacfVhfntrGrDadfvrp3H777Wy88cbMnz8f4PmI+H6JzXIVv2wtx3IbDEomd+kvzN9ExD5AqYSu0NbAcwXLC4F/7qpORLRJWgqMSuV/6rTt1p22nQZc36nsFEnHkk2b9tmIaCmyPycCJwJsu+22PdgdM6s1q1evZt9992Xu3Lnst99+AHznO995vYxNHb/MrGaVHHsSEauBdkmb9EN/yiKpkewGj/8rKP4BsAPZZY8XgO8U2zYiLouIpohoGj16dMX7ambVU19fT11dHUuXLq12V9Zw/DKzSit3zN0bwEOSbifdMQsQEad1s80iYJuC5bGprFidhZIagE2AJWVsexBwf0S8VNCXNe8lzQR+Vnq3zCzvhg8fzrve9S7222+/jjtmt5F0oeOXmeVVucndLenVE/cBE9LDQheRXYY4qlOdOcBxZGNRDgfuiIiQNAf4kaTvkg1IngD8uWC7j9DpkoakLSPihbR4CPBwD/trZjl06KGHcuihhxYWrQDmldjM8cvMala5N1Rc3dOG0xiUU4BfAfXAFRHxiKRzgOaImANcDlyTBhy/ShZASfVmkw1ebgM+mS4PdzyGZT/g450+8luSdiN7XMszRdab2SB03HHHrbN8/PHHLykV0xy/zKyWqZyJtCVNAL4BTAQ27CiPiO0r17XKa2pqiubm5mp3w8wq6IknnuCss87i0Ucf5c033+Tpp59uBRY5fplZrZE0LyKaStUr9yHGV5IN+G0D9gFmkU3fY2Y2oE2fPp1PfOITNDQ0MHfuXMjGxTl+mVlulZvcDY2I35Kd6Xs2Ir4CfLBy3TIz6xsrV65kypQpRATbbbcdwPM4fplZjpV7Q8UqSXXAE2kcyiJgeOW6ZWbWN4YMGUJ7ezsTJkzgoosuAtgU8EzxZpZb5Z65+xSwEXAaMAn4KNldYmZmA9r3vvc9VqxYwYUXXsi8efMge9Cw45eZ5Va3yZ2ka9Lb90fEGxGxMCKmR8RhEfGn7rY1M6umY445BoA//vGPDB8+nLFjx3LllVdCNu2X45eZ5VapM3eTJG0FfEzSSEmbFb76o4NmZr0xb948nn/+ea644gpaWlp49dVXefXVVwHqHb/MLM9Kjbm7FPgtsD3ZQz9VsC5SuZnZgHPSSScxZcoUnnrqKSZNmkTBY58mks3f6vhlZrnU7Zm7iLgwIv6R7AGe20fE+IKXA6OZDVinnXYajz32GB/72Md46qmnePrpp3n66acBHnL8MrM86/bMXcGli7OLXcaIiFcr0qsBrr09WLK8lda21TQ21DNqWCN1dSq9oZn1m3QJlnPPPXfN+6Re0maDNX5Zdfj3hvWnUpdl55FdfoV1L8nCIL0s294ezH9pGTNmNbOwZSVjRw5l5rFN7DxmhH9QzQaQSZMmIWU/k51m4vFlWetX/r1h/a3b5C4ixvdXR2rFkuWta35AARa2rGTGrGZuPXkyo0cMqXLvzKxDugT7NpIeKmf6HrO+4t8b1t9KXZZ9d3frI+L+vu3OwNfatnrND2iHhS0raW3zM1HNBpL77+8yPG0k6d2DMX5Zdfj3hvW3Updlv9PNugD+rQ/7UhMaG+oZO3LoOj+oY0cOpbGhvoq9MrPOPvvZz3a1aixwPoMwfll1+PeG9bdSl2X36a+O1IpRwxqZeWzT28ZOjBrWWO2umVmBuXPnFi2X9LeIcGJn/ca/N6y/lTW3rKSNgM8A20bEiZImADtHxM8q2rsBqK5O7DxmBLeePNl3PZnVgBUrVvDd736Xv//971x22WUAQyR9aDDGL6sO/96w/lbu3LJXAq3A+9PyIuDrFelRDairE6NHDGHrkRsxesQQ/4CaDWDTp0+nsbGRP/6/w1FCAAAa7klEQVTxjx1FbzGI45dVh39vWH8qN7nbISK+RRYUiYgVvP3RKGZmA86TTz7JGWecwQYbbNBR1I7jl5nlWLnJXaukoaRn3knaAVhVsV6ZmfWRxsZGVq5cueaZd8AQHL/MLMfKTe6+DPwS2EbSdWTzzZ5RaiNJB0qaL2mBpDOLrB8i6ca0/l5J4wrWnZXK50s6oKD8GUkPSXpAUnNB+WaSbpf0RPp3ZJn7ZmY59tWvfpUDDzyQ5557jqOPPhpgJxy/zCzHyk3ujgN+DpwD/Ahoiog7u9tAUj1wMXAQ2RPhPyJpYqdqJwAtEbEjcAFwXtp2IjAN2AU4ELgktddhn4jYrdODSM8EfhsRE8iSz7cFYzMbfK6++mo++MEP8qUvfYmjjjoK4DHHLzPLs3KTu8uBDYGDge8D/yvpUyW22QNYEBFPRUQrcAMwtVOdqcDV6f1NwBRl106mAjdExKqIeBpYkNrrTmFbVwMfLr1bZpZ3J5xwAm+++SZz5szh1FNPBdjO8cvM8qys5C4i5gLnAl8EZgJNwCdKbLY18FzB8sJUVrRORLQBS4FRJbYN4NeS5kk6saDOmIh4Ib1/ERhTes/MLO/22Wcfzj77bL72ta8xY8YMgI1w/DKzHCv3OXe/BYYB9wB3Ae+JiJcr2bFu7BkRiyRtAdwu6fGI+H1hhYgISVFs4xRQTwTYdtttK99bM6uqKVOmsHz5ct73vvex1157QXZZdrcqdcfxy8wqrtzLsg+SPefuncCuwDvT3bPdWQRsU7A8NpUVrSOpAdgEWNLdthHR8e/LwK2svdzxkqQtU1tbAkWTz4i4LCKaIqJp9OjRJXbBzGrdrrvuSmNjIw8//DAPPvggwFDHLzPLs3Ivy346Iv4FOJQseF0JvFZis/uACZLGS2okG2A8p1OdOWQ3awAcDtwREZHKp6W70cYDE4A/SxomaQSApGHA/sDDRdo6DvhJOftmZvl2wQUX8Pvf/55bbrmFUaNGAYzD8cvMcqzcy7KnAHsBk4BngCvILs92KSLa0na/AuqBKyLiEUnnAM0RMYfsRo1rJC0AXiULoKR6s4FHgTbgkxGxWtIY4Nb0vKoG4EcR8cv0kd8EZks6AXgWOKLMY2BmOXbRRRdx1113MW/ePMaNGwfwCnBMd9s4fplZLVP2h2aJStLpZMncvDRwOBeampqiubm5dEUzq1nnn38+e+21F5MmTaKhoQFJ8zo9hqQmOX6ZDT7lxq+yztxFxPnr3yUzs/53+umnV7sLZmb9qtwbKszMzMysBji5MzMzM8uRsi7LGrS3B0uWt9LatprGhnpGDWukrk6lNzQzs6pw3LbBysldGdrbg/kvLWPGrGYWtqxk7MihzDy2iZ3HjHCgMDMbgBy3bTDzZdkyLFneuiZAACxsWcmMWc0sWd5a5Z6ZmVkxjts2mDm5K0Nr2+o1AaLDwpaVtLatrlKPzMysO47bNpg5uStDY0M9Y0euO1vR2JFDaWyor1KPzMysO47bNpg5uSvDqGGNzDy2aU2g6Bi7MWpYY5V7ZmZmxThu22DmGyrKUFcndh4zgltPnuy7rszMaoDjtg1mTu7KVFcnRo8YUu1umJlZmRy3bbDyZVkzMzOzHHFyZ2ZmZpYjTu7MzMzMcsTJnZmZmVmOOLkzMzMzyxEnd2ZmZmY54uTOzMzMLEec3JmZmZnlSEWTO0kHSpovaYGkM4usHyLpxrT+XknjCtadlcrnSzoglW0jaa6kRyU9IulTBfW/ImmRpAfS6wOV3DczyzfHLzOrVRWboUJSPXAxsB+wELhP0pyIeLSg2glAS0TsKGkacB5wpKSJwDRgF2Ar4DeSdgLagM9GxP2SRgDzJN1e0OYFEXF+pfbJzAYHxy8zq2WVPHO3B7AgIp6KiFbgBmBqpzpTgavT+5uAKZKUym+IiFUR8TSwANgjIl6IiPsBImIZ8BiwdQX3wcwGJ8cvM6tZlUzutgaeK1heyNsD2Zo6EdEGLAVGlbNtugSyO3BvQfEpkh6UdIWkkcU6JelESc2SmhcvXtzTfTKzwcHxy8xqVk3eUCFpOHAz8F8R8Xoq/gGwA7Ab8ALwnWLbRsRlEdEUEU2jR4/ul/6amXVw/DKzSqtkcrcI2KZgeWwqK1pHUgOwCbCku20lbUAWGK+LiFs6KkTESxGxOiLagZlkl1XMzHrD8cvMalYlk7v7gAmSxktqJBtgPKdTnTnAcen94cAdERGpfFq6G208MAH4cxrPcjnwWER8t7AhSVsWLB4CPNzXO9TeHixetopFLStYvGwV7e1R0e3MrGpyF7+sNMfqjI9D7avY3bIR0SbpFOBXQD1wRUQ8IukcoDki5pAFumskLQBeJQugpHqzgUfJ7jD7ZESslrQncAzwkKQH0kd9PiJuA74laTcggGeAj/fl/rS3B/NfWsaMWc0sbFnJ2JFDmXlsEzuPGUFdnfp8OzOrnrzFLyvNsTrj45APyv7QHJyampqiubm5rLqLl63ikEvuZmHLyjVlY0cO5daTJzN6xJA+387MKkPSvIhoqnY/1ldP4peV5lid8XEY2MqNXzV5Q0U1tLatXuc/O8DClpW0tq2uyHZmZtZ/HKszPg754OSuTI0N9YwdOXSdsrEjh9LYUF+R7czMrP84Vmd8HPLByV2ZRg1rZOaxTWv+03eMQxg1rLEi25mZWf9xrM74OOSDx9z1YMxKe3uwZHkrrW2raWyoZ9SwxrIGmPZ2OzPrex5zZ11xrM74OAxc5cavit0tm0d1derVgNLebmdmZv3HsTrj41D7fFnWzMzMLEec3JmZmZnliJM7MzMzsxzxmLv1UDjodGhjPW3twVtt7R6AamZmfaLcmxt8E4QVcnLXS4VTtIwePoQzDtyZ/77pQU/XYmZmfaLcqcA8ZZh15suyvbRkeeuaH6ST9t5hTWIH2dO8Z8xqZsny1ir30szMalXh7xno+ndLufVs8HBy10uFU7RsOnQDT9diZmZ9qtypwDxlmHXm5K6XCqdoeW3lW56uxczM+lS5U4F5yjDrzMldLxVO0XLpnU/y7cN39XQtZmbWZ8qdCsxThllnnn5sPabv8d2yZrXH049ZLfHdslbI04/1A0/RYmZmlVTu7xn/PrJCvixrZmZmliNO7szMzMxypKLJnaQDJc2XtEDSmUXWD5F0Y1p/r6RxBevOSuXzJR1Qqk1J41MbC1KbVRlJ2t4eLF62ipeWruT511ayqGUFi5etor093rauWB2rrI7vwMe89vXHdzkYY5jlT1c/K+X+DHWu19bW3u1yXuJqpWNMJduv2Jg7SfXAxcB+wELgPklzIuLRgmonAC0RsaOkacB5wJGSJgLTgF2ArYDfSNopbdNVm+cBF0TEDZIuTW3/oFL7V0zHU8IvuH0+x71/PJ+7ee2MFbM+tger2trXrLv6j0+/rY6fKF5Zfop7fvTHdzkYY5jlT1c/KxNGD+eJxW/0ePaL/SduwWlTduKka+cVXc5LXK10jKl0+5U8c7cHsCAinoqIVuAGYGqnOlOBq9P7m4ApkpTKb4iIVRHxNLAgtVe0zbTNv6U2SG1+uIL7VlTHU8IPm7TNmqQNsodJPrtkxTrritXxE8Ury09xz49++i4HXQyz/OnqZ+XlN1b1avaLwyZtsyaRK7acl7ha6RhT6fYrmdxtDTxXsLwwlRWtExFtwFJgVDfbdlU+CngttdHVZwEg6URJzZKaFy9e3Ivd6lrHU8KLzVixUWP9Ous8q0X/81Pc86OfvssBF8MqGb8sn7r6WXlrdXuvZr/o/Lsrr7/LKh1jKt3+oLuhIiIui4imiGgaPXp0n7bd8ZTwYjNWrGhdvc46z2rR//wU9/wYrN9lJeOX5VNXPysb1Nf1avaLzr+78vq7rNIxptLtVzK5WwRsU7A8NpUVrSOpAdgEWNLNtl2VLwE2TW109VkV1/GU8JvnPcd5h607Y8V2ozZaZ12xOn6ieGX5Ke750U/f5aCLYZY/Xf2sbDF8SK9mv7h53nNc+tFJXS7nJa5WOsZUuv2KzVCRgtTfgClkQeo+4KiIeKSgzieBd0XESWkw8qERcYSkXYAfkY1P2Qr4LTABUFdtSvo/4OaCwcgPRsQl3fWxEk9473hKeHt7O6sDImLN08KBddbVi7fVqeUBqLXAT3HPj95+l+U+4X2gxzDPUGHl6upnpbezX4wcugEtK9/qcjkvcbXSvy96037VZ6iIiDZJpwC/AuqBK1IAOwdojog5wOXANZIWAK+S3V1GqjcbeBRoAz4ZEasBirWZPvJzwA2Svg78JbXd70o9JdxPEK8uP8U9Pyr9XQ7WGGb509XPyvrMflFqOQ8qHWMq2b7nlvVfvmaDiueWNbNaVW78GnQ3VJiZmZnlmZM7MzMzsxxxcmdmZmaWI07uzMzMzHLEyZ2ZmZlZjji5MzMzM8sRJ3dmZmZmOeLkzszMzCxHnNyZmZmZ5YiTOzMzM7MccXJnZmZmliNO7szMzMxyxMmdmZmZWY44uTMzMzPLESd3ZmZmZjni5M7MzMwsR5zcmZmZmeWIkzszMzOzHHFyZ2ZmZpYjTu7MzMzMcsTJnZmZmVmOKCKq3YeqkbQYeLbM6psDr1SwO5VUq313v/vXYOn3dhExulKd6S8pfr0GLC0o3qTTciW/086f1dfbdVevq3Xllpda9nErXu7jVrq8nLL1OW7lxa+I8KuMF9Bc7T4Mtr673+53nvvdR/t+WYnlih2bzp/V19t1V6+rdeWW+7j5uFXquJVT1h/HzZdlzcxq109LLPfnZ/f1dt3V62pdueU+br0r93ErXV5OWcWP26C+LNsTkpojoqna/eiNWu27+92/3O/88bHpHR+33vFx651KHDefuSvfZdXuwHqo1b673/3L/c4fH5ve8XHrHR+33unz4+Yzd2ZmZmY54jN3ZmZmZjni5K4Mkg6UNF/SAklnDoD+bCNprqRHJT0i6VOpfDNJt0t6Iv07MpVL0oWp/w9KendBW8el+k9IOq6f+l8v6S+SfpaWx0u6N/XvRkmNqXxIWl6Q1o8raOOsVD5f0gH90OdNJd0k6XFJj0l6Xy0cb0mfTv9HHpZ0vaQNB+rxlnSFpJclPVxQ1mfHWNIkSQ+lbS6UpErsh5lZ1VXqtuW8vIB64Elge6AR+Cswscp92hJ4d3o/AvgbMBH4FnBmKj8TOC+9/wDwC0DAe4F7U/lmwFPp35Hp/ch+6P9ngB8BP0vLs4Fp6f2lwCfS+5OBS9P7acCN6f3E9D0MAcan76e+wn2+GvjP9L4R2HSgH29ga+BpYGjBcT5+oB5v4F+AdwMPF5T12TEG/pzqKm17UKX/r/vll19+VePlM3el7QEsiIinIqIVuAGYWs0ORcQLEXF/er8MeIzsF/lUsiSE9O+H0/upwKzI/AnYVNKWwAHA7RHxakS0ALcDB1ay75LGAh8EfpiWBfwbcFMX/e7Yn5uAKan+VOCGiFgVEU8DC8i+p0r1eROyxONygIhojYjXqIHjDTQAQyU1ABsBLzBAj3dE/B54tVNxnxzjtG7jiPhTRAQwq6CtQUHS9pIul3RT6drWQdKHJc1MZ7X3r3Z/aoWkf5R0abri8Ylq96eWSBomqVnSh3rbhpO70rYGnitYXpjKBoR06Wx34F5gTES8kFa9CIxJ77vah2rs2/8AZwDtaXkU8FpEtBXpw5r+pfVLU/3+7vd4YDFwZbqc/ENJwxjgxzsiFgHnA38nS+qWAvMY+Me7UF8d463T+87lNa3YpexU/rahJOkP1BOq09OBpYfH7ccRMQM4CTiyGv0dKHp43B6LiJOAI4DJ1ejvQNGT45Z8juwKS685uathkoYDNwP/FRGvF65LZycG1K3Q6a+QlyNiXrX70kMNZJcLfxARuwPLyS4RrjFAj/dIsjNc44GtgGFU/kxhxQzEYzwAXEWn71RSPXAxcBDZJfWPSJrY/10b0K6i58ftC2n9YHYVPThukg4Gfg7c1r/dHHCuoszjJmk/4FHg5fX5QCd3pS0CtilYHpvKqkrSBmSJ3XURcUsqfildfiL92/Gfo6t96O99mwwcLOkZssvb/wZ8j+ySWkORPqzpX1q/CbCkCv1eCCyMiHvT8k1kyd5AP977Ak9HxOKIeAu4hew7GOjHu1BfHeNF6X3n8prWxaXsATeUZKDpyXFLN++cB/yiYzjMYNXT/28RMSciDgKO7t+eDiw9PG57k40NPgqYIalXeZqTu9LuAyYou8OwkWyg+ZxqdiiNg7oceCwivluwag7QcXfgccBPCsqPTUHqvcDSdKnrV8D+kkamszz7p7KKiIizImJsRIwjO453RMTRwFzg8C763bE/h6f6kcqnKbu7czwwgWywfKX6/SLwnKSdU9EUsr+sBvTxJrsc+15JG6X/Mx39HtDHu5M+OcZp3euS3puOxbEFbeVN0UvTkkZJuhTYXdJZ1enagNbVJf1Tyf5QOlzSSdXo2ADX1f+3vZXdlf6/+MxdMUWPW0ScHRH/RXbT4cyIaC+6dQkNpasMbhHRJukUsl8a9cAVEfFIlbs1GTgGeEjSA6ns88A3gdmSTgCeJRvrANkP1gfIBsKvAKYDRMSrkr5GlsACnBMRnf+66A+fA26Q9HXgL6QbF9K/10haQPZXzzSAiHhE0myyRKUN+GRErK5wH08FrksJ/lNkx7COAXy8I+JeZYPn7yc7Tn8hexL6zxmAx1vS9WR/tW4uaSHwZfr2//TJZJdHhpLdLfuLvt6HgSwilpCNG7MeiIgLgQur3Y9aExF3AndWuRs1KyKuWp/tPUOFmVkNSzdV/Swi3pmW3wd8JSIOSMtnAUTEN6rVx4HIx613fNx6p7+Pmy/Lmpnly4AbSlIjfNx6x8etdyp63JzcmZnVqHQp+x5gZ0kLJZ2QHmPTMZTkMWD2ABhKMqD4uPWOj1vvVOO4+bKsmZmZWY74zJ2ZmZlZjji5MzMzM8sRJ3c24Em6U1JTP3zOaEn3KptibK/1bGtvSe/vq76ZmZmVy8md5VrBTAzlmAI8FBG7R8Rd6/nRewM9Su562FczM7OinNxZn5E0TtJjkmZKekTSryUNLTzzJmlzZdOPIel4ST+WdLukZySdIukz6czZnyRtVtD8MZIekPSwpD3S9sOUTcj857TN1IJ250i6A/htF/28Q9KDkn4raVtJuwHfIptu6AFJQztt8ydJuxQs3ympSdJmaR8eTHV2Tc8zOgn4dGprr3RW8GZJ96XX5NTOVyRdI+lusgcI75L254HU5oS++n7MzGxwcHJnfW0CcHFE7AK8BhxWov47gUOB9wDnAisiYney28aPLai3UUTsRjbLwBWp7GyyKbL2APYBvi1pWFr3buDwiPjXIp/5feDqiNgVuA64MCIeAL4E3BgRu0XEyk7b3EiaHUHZHKdbRkQz8FXgL6mtzwOzIuIZ4FLggtTWXWRz6F4QEe9Jx+SHBW1PBPaNiI+QJYXfS/vaRDYljZmZWdmc3FlfezolSgDzgHEl6s+NiGURsRhYCvw0lT/UadvrYc0EzBtL2pRs3tAzlU3BdiewIbBtqn97N1N7vY9s3j6Aa4A9S+8Ws1k7H+sRwE3p/Z6pDSLiDmCUpI2LbL8vcFHq65y0D8PTujkFyeQ9wOclfQ7YrkiSaWbryeN439a20tWMjdPyG5X4nN4o57uSdIOvcqzLyZ31tVUF71eTzV/cxtr/axt2U7+9YLmddec+7vxAxgAEHJbOju0WEdtGxGNp/fKOipLOTZc5H6BMkg7p2EZSU0QsApZI2hU4kuxMXk/UAe8t6OvWEdERQNf0NSJ+BBwMrARuk/RvPfwcM6ugnI7j/QDw14h4vaedGiB+AJxR7U4MJE7urD88A0xK7w/vpl53jgSQtCewNCKWkj3Z+1RJSut2L7ZhRJzdkVSloj+STfUCcDTwtqAbEbcWJGLNqfhGsgCySUQ8mMruSm0gaW/glRQglwEjCpr8NXBqx0Ia4/c2krYHnkqTlf8E2LWL42GWa12N4U3rPI63b8fxHk0WbzrvlyR9Ox2jhyR1xOE6SZdIejwd69skvS22SzpN0qPpc29IZcMlXZnae1DSYan8B5Ka03f91SJ9RNL+ku6RdL+k/9Paqx93Afv2MPHONSd31h/OBz4h6S/A5r1s4820/aXACansa8AGwIOSHknL5TgVmC7pQeAY4FNlbncTWVI4u6DsK8Ck1NY3geNS+U+BjrN/ewGnAU0pmD1KFqiLOQJ4OJ1lfCcwq8y+meVRT8fwgsfxQs/H8U4mG0bT2aHAbsA/kQ0t+Xbq66Fkw2YmksXQ9xXZFuBMYPe0Lx0x74tkf6C/K5XfkcrPjogmsj9o/zVdJVlD0ubAF9J+vRtoBj4DEBHtwILUT2Pdy15m6yUFoHcWLJ9fsLrwB/ULaf1VwFUF9ccVvF+zLiL27uLzVgIfL1K+TrtF1j8LvO1yZxnbvUSnn5k0ru/DRer+jbefdTuySL2vdFr+JlmSaGY9H8MLaRwvsExS53G8hT+Ta8bxSiocx3uwpNNTnZ6M4z00vb+G7IxdKbPJzuh/mbeP4z0s9e0OSd2N452YLlxA9+N4z5Y0FrglIp4o0tZm6Zh1tidwfUSsBl6S9DuypHlP4P9SUvWipLld7OODwHWSfgz8uKDfHVdOiIiW9PYISSeSxdgtyRLHBwvaem8quzvtc2Patw4vA1tRPEkddHzmzszMBqpiY3jB43ihb8fxtkmqRD7wQeBisrOe93V12VTSeOB0YEo6m/dz3v69iizB7tjfiRFxQsH6Dcn20XByZ2ZmtecZPI63L8fxzge2L1J+F3CkpHpJo4F/Af4M3A0clsbejSG72aPz59YB20TEXOBzwCbAcOB24JMF9UYCG5MlpEtTewcV6cufgMmSdkzbDZO0U8H6nYCHix2DwcjJnZmZ1RqP4+3bcbw/p0iCBtxKdmn0r2Rj486IiBeBm8nG7j0KXAvcT/Yoq0L1wLWSHgL+QjYO8TXg68DIdJPGX4F9IuKvqc7jZI+purtzR9Ljso4Hrk/H5h7gHQApIVyZ+maAIjqfmTYzM7PBIt0kMSsi9uvBNsMj4g1Jo8jO5k2uVnIl6dPA6xFxeTU+fyDyDRVmZmaDWES8oOyRMxv34Fl3P0s3oTQCX6vyWbPXSA+Tt4zP3JmZmZnliMfcmZmZmeWIkzszMzOzHHFyZ2ZmZpYjTu7MzMzMcsTJnZmZmVmOOLkzMzMzy5H/D3Rug1/9dcGQAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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V7avXNHKdFixZwar21ZXelZnVkEZov6rF7aJZ7Wvkh0D6xaCWgYwaNuRNaaOGDWFQy8CcamRmli+3i2a1zwFgHw0fOogrjmtd09h13usyfOignGtmZpYPt4tmtS/XLuBGMGCA2GnLjbj1k3uzqn01g1oGMnzoIN/obGZNy+2iWe1zAFgBAwaIERsNzrsaZmY1w+2iWW1zF7CZmZlZk3EAaGZmZtZk3AVcAR0dweLlq3yvi5nVHbdfZs3JAWAfecR7M6tXbr/Mmpe7gPvII96bWb1y+2XWvBwA9pFHvDezeuX2y6x5OQDsI494b2b1yu2XWfNyANhHHvHezOqV2y+z5uWHQPrII96bWb1y+2XWvBwAVoBHvDezeuX2y6w5uQvYzMzMrMk4ADQzMzNrMrkGgJIOkDRH0lxJZ5dYP1jSzWn9fZJGp/ThkmZIekXSJUXb3JXKvD+9tuiurEppb+/g6ZdW8NTi5Tz90gra2zsqWbyZ1aBGasPqSUdHsGjZShYueZVFy1bS0RFV2caskeV2D6CkgcClwH7AAmCmpGkR8XBBtpOAJRGxg6RJwIXAEcBrwJeAXdKr2NER0VaU1lVZfdbe3sGjzy3j1BtmrRlN/7JjxvO2LTeipcUXWc0aUSO1YfWkN7OXeMYTs7XlGZ3sCcyNiHkRsQq4CZhYlGcicG16PxWYIEkRsTwi/kTWiJarZFm9r/4bnn9l5ZrgD7KBVE+9YRbPv7KyEsWbWW1qmDasnvRm9hLPeGK2tjwDwJHA/ILlBSmtZJ6IaAeWAsPLKPvq1HXypYIGsqyyJJ0iqU1S26JFi8o6kNdXd5QcTb99tbuBzRpYw7Rh9aQ3s5d4xhOztTVi/+TREfF24L3pdWxPNo6IyyOiNSJaR4wYUdY26w0cUHI0/ZaBjXh6zazK+r0Nqye9mb3EM56YrS3PCGUhsE3B8qiUVjKPpBZgE2Bxd4VGxML07zLgJ2TdNL0qq1xbbDiYy44Z/6bR9C87ZjxbbOixtcwaWMO0YfWkN7OXeMYTs7XlORD0TGCspDFkDdsk4KiiPNOA44F7gMOAOyOiy0e3UqO4aUS8IGk94MPA73pTVk+0tAzgbVtuxJSPv4v21R20DBzAFhsO9gMgZo2tYdqwetKb2Us844nZ2nILACOiXdJpwO3AQOCqiHhI0vlAW0RMA64Erpc0F3iRrIEFQNKTwMbAIEkfBT4APAXcnhrOgWQN5xVpky7LqoSWlgFsvemQdWc0s4bQaG1YPenN7CWe8cTszdSEPyDL1traGm1txSMxmFkjkzQrIlrzrkcluA0zay49ab/cR2lmZmbWZPK8B7ChdHQEi5ev8v0lZmZ1zG25NQsHgBXgUebNzOqf23JrJu4CrgCPMm9mVv/cllszcQBYAR5l3sys/rktt2biALACPMq8mVn9c1tuzcQBYAV4lHkzs/rnttyaiR8CqQCPMm9mVv/cllszcQBYIR5l3sys/rktt2bhLmAzMzOzJuMA0MzMzKzJuAu4Qjx6vJlZ/twWm5XHAWAFePR4M7P8uS02K5+7gCvAo8ebmeXPbbFZ+RwAVoBHjzczy5/bYrPy5RoASjpA0hxJcyWdXWL9YEk3p/X3SRqd0odLmiHpFUmXFOTfQNKvJD0q6SFJ3yxYd4KkRZLuT6+PVeo4PHq8WfNplParkbgtNitfbgGgpIHApcCBwDjgSEnjirKdBCyJiB2Ai4ALU/prwJeAz5Uo+jsR8TZgd2BvSQcWrLs5InZLrx9V6lg8erxZc2mk9quRuC02K1+eD4HsCcyNiHkAkm4CJgIPF+SZCJyX3k8FLpGkiFgO/EnSDoUFRsSrwIz0fpWkvwKjqnoUePR4sybUMO1XI3FbbFa+PLuARwLzC5YXpLSSeSKiHVgKDC+ncEmbAh8B7ihIPlTSbElTJW3T24qX0jl6/MhhGzBio8FucMwaW0O1X43EbbFZeRryIRBJLcCNwMWdv9CBXwCjI2JXYDpwbRfbniKpTVLbokWL+qfCZmZJX9qvtL3bMDNbpzwDwIVA4a/YUSmtZJ7UKG4CLC6j7MuBxyLifzsTImJxRKxMiz8CxpfaMCIuj4jWiGgdMWJEWQdiZk2nJtuvlNdtmJmtU54B4ExgrKQxkgYBk4BpRXmmAcen94cBd0ZEdFeopK+TNbT/WZS+VcHiQcAjfaj7m3R0BC8uX8nCJa/yzxeX8/yy1+jo6LaaZlbfGqb9qiUdHcGiZVlbumjZyqq3o/29P7NakttDIBHRLuk04HZgIHBVRDwk6XygLSKmAVcC10uaC7xI1sgCIOlJYGNgkKSPAh8AXgbOBR4F/ioJ4JL0xNwZkg4C2lNZJ1TiODo6gicXL+e5l1/jv6bO9ujzZk2gUdqvWtLfs3h41hBrdlrHD9Km1traGm1tbd3mWbRsJQ8uXMqXfv7gmwYgHTVsCLd+cm9GbDS42tU0swqSNCsiWvOuRyWU04bVikXLVnLw9+/ut3a0v/dn1h960n415EMg/WlV+2o2GDTQo8+bmfVBf8/i4VlDrNk5AOyjQS0DeXXVao8+b2bWB/09i4dnDbFm5wCwj4YPHcR2wzfg24ft6tHnzcx6qb9n8fCsIdbsfA9gN8q9f6ajI3hpxSpWrFrN6oD11xvA5kM9AKlZPfI9gPnp6AgWL1/Vb7N49Pf+zKqtJ+1XnlPBNYwBA8RmQwfD0LxrYmZWvzpn8WjU/ZnVkrK6gCW9VdLg9H4fSWekqYrMzGra448/zsqV2RjKd911FxdffDEvvfRSzrUyM8tXufcA3gKsTpOXX042uv1PqlYrM7MKOfTQQxk4cCBz587llFNOYf78+Rx11FF5V8vMLFfldgF3pIFPDwa+FxHfk/S3alasHvl+ErPaM2DAAFpaWrj11ls5/fTTOf3009l9993zrpbVIbfx1kjKDQBfl3Qk2bRGH0lp61WnSvXJo8qb1ab11luPG2+8kWuvvZZf/OIXALz++us518rqjdt4azTldgFPBt4FXBART0gaA1xfvWrVn8XLV61pGCAbUPTk69pYvHxVzjUza25XX30199xzD+eeey5jxozhiSee4Nhjj827WlZn3MZboynrCmBEPAycASBpGLBRRFxYzYrVG48qb1abxo0bx8UXXwzAkiVLWLZsGWeddVbOtbJ64zbeGk25TwHfJWljSZsBfwWukPQ/1a1affGo8ma1aZ999uHll1/mxRdfZI899uDkk0/mzDPPzLtaVmfcxlujKbcLeJOIeBk4BLguIt4J7Fu9atUfjypvVpuWLl3KxhtvzE9/+lOOO+447rvvPn73u9/lXS2rM27jrdGU+xBIi6StgMOBc6tYn7o1YIDYacuNuPWTe/sJMbMa0t7ezjPPPMOUKVO44IIL8q6O1Sm38dZoyg0AzwduB+6OiJmStgceq1616pNHlTerPV/+8pfZf//92XvvvXnHO97BvHnzGDt2bN7VsjrkNt4aiecC7ka9zaNpZn3nuYDNrF71pP0q9yGQUZJulfR8et0iaVTfqgmSDpA0R9JcSWeXWD9Y0s1p/X2SRqf04ZJmSHpF0iVF24yX9EDa5mJJSumbSZou6bH077C+1t/Mat+CBQs4+OCD2WKLLdhiiy049NBDWbBgQUXKdhtmZvWq3IdArgamAVun1y9SWq9JGghcChwIjAOOlDSuKNtJwJKI2AG4COgceuY14EvA50oU/QPgZGBseh2Q0s8G7oiIscAdadnMGtzkyZM56KCDePrpp3n66af5yEc+wuTJk/tcrtswM6tn5QaAIyLi6ohoT69rgBF93PeewNyImBcRq4CbgIlFeSYC16b3U4EJkhQRyyPiT2SN6BrpQZWNI+LeyPq2rwM+WqKsawvSzayBLVq0iMmTJ9PS0kJLSwsnnHACixYtqkTRbsPMrG6VGwAulnSMpIHpdQywuI/7HgnML1hekNJK5omIdmApMHwdZRb27RSWuWVEPJPePwtsWaoASadIapPUVqEvCTPL0fDhw7nhhhtYvXo1q1ev5oYbbmD48O6akbK5DTOzulVuAHgi2RAwzwLPAIeRTQ9Xl9Iv65JPv0TE5RHRGhGtI0b09SKnmeXtqquuYsqUKbzlLW9hq622YurUqVx9dZ/uYMmd2zAz66typ4J7CjiowvteCGxTsDwqpZXKs0BSC7AJ3V95XJjKKVXmc5K2iohnUjfL832pvJnVh+22245p06ZVo2i3YWZWt7oNACV9jy5+ZQJExBl92PdMYKykMWQN3CTgqKI804DjgXvIrjreGd2MW5Maxpcl7QXcBxwHfK+orG+mf3/eh7qbWY07/fTTSQ/QltQ5P3AfuA0zs7q1riuAVRtAKiLaJZ1GNsD0QOCqiHhI0vlAW0RMA64Erpc0F3iRrIEFQNKTwMbAIEkfBT4QEQ8DnwSuAYYAv04vyBrNKZJOAp4i69I2swbV2lrdofzchplZPevxQNCS3hIRz1apPjXFg6iaNZZnn32Wt7zlLd3m8UDQZlavKj4QdJHberGNmVnuPvjBD+ZdBTOzmtCbANAzX5tZXfLUl2Zmmd4EgFdUvBZmZv3g5JNPzrsKZmY1oaxhYAAkvQcYGxHflzQC2DAinqhe1czMKuNPf/oTjz32GJ/85CdZtGgRr7zyCmPGjMm7WmZmuSnrCqCkrwBnAeekpPWAG6pVKTOzSvnqV7/KhRdeyDe+8Q0AXn/9dY455pica2Vmlq9yu4APJhsIejlARDwNbFStSpmZVcqtt97KtGnTGDp0KABbb701y5Yty7lWZmb5KjcAXFU49ZCkodWrkplZ5QwaNAhJawaFXr58ec41MjPLX7kB4BRJPwQ2lXQy8Dv8MIiZ1YHDDz+cj3/847z00ktcccUV7Lvvvn4YxMyaXrlzAX9H0n7Ay8BOwJcjYnpVa2ZmVgGf+9znmD59OhtvvDFz5szh/PPPZ7/99su7WmZmuVpnAChpIPC7iHgf4KDPzOrG6tWr2XfffZkxY4aDPjOzAuvsAo6I1UCHpE36oT5mZhUzcOBABgwYwNKlS/OuiplZTSl3HMBXgAckTSc9CQwQEWdUpVZmZhWy4YYb8va3v5399ttvzZPAABdffHGOtTIzy1e5AeBP08vMrK4ccsghHHLIIXlXw8ysppT7EMi11a6ImVk1HH/88XlXwcys5pQVAEoaC3wDGAes35keEdtXqV5mZhXx2GOPcc455/Dwww/z2muvrUmfN29ejrUyM8tXueMAXg38AGgH3gdch6eCM7M6MHnyZD7xiU/Q0tLCjBkzOO644zwVnJk1vXIDwCERcQegiHgqIs4DPtTXnUs6QNIcSXMlnV1i/WBJN6f190kaXbDunJQ+R9L+KW0nSfcXvF6W9J9p3XmSFhas+2Bf629mtW/FihVMmDCBiGC77bbjvPPO41e/+lVFynYbZmb1qtyHQFZKGgA8Juk0YCGwYV92nMYXvBTYD1gAzJQ0LSIeLsh2ErAkInaQNAm4EDhC0jhgErAzsDXwO0k7RsQcYLeC8hcCtxaUd1FEfKcv9Taz+jJ48GA6OjoYO3Ysl1xyCSNHjuSVV17pc7luw8ysnpV7BfDTwAbAGcB44Bigr3dW7wnMjYh5EbEKuAmYWJRnItD5AMpUYIKyCT0nAjdFxMqIeAKYm8orNAF4PCKe6mM9zayOffe73+XVV1/l4osvZtasWdxwww1ce21FnmtzG2ZmdavbAFDS9entuyPilYhYEBGTI+LQiLi3j/seCcwvWF6Q0krmiYh2YCkwvMxtJwE3FqWdJmm2pKskDStVKUmnSGqT1LZo0aKeHI+Z1ZBjjz0WgD//+c9suOGGjBo1iquvvppbbrmFvfbaqxK7cBtmZnVrXVcAx0vaGjhR0jBJmxW++qOCvSFpEHAQ8H8FyT8A3krWvfIM8P9KbRsRl0dEa0S0jhgxoup1NbPqmDVrFk8//TRXXXUVS5Ys4cUXX3zTq5a5DTOzalvXPYCXAXcA2wOzABWsi5TeWwuBbQqWR6W0UnkWSGoBNgEWl7HtgcBfI+K5NZUteC/pCuCXfai7mdW4U089lQkTJjBv3jzGjx9PRKxZJ6kSw8C4DTOzutXtFcCIuDgi/gW4KiK2j4gxBa++jgE4ExgraUwlZBBXAAAeUUlEQVT6tTsJmFaUZxpv3Gt4GHBnZK34NGBSesJuDDAW+EvBdkdS1HUiaauCxYOBB/tYfzOrYWeccQaPPPIIJ554IvPmzeOJJ55Y86rQGIBuw8ysbnV7BbCgm/fcUl2+EdHrfpSIaE9PFN8ODCQLMh+SdD7QFhHTgCuB6yXNBV4ka2BJ+aYAD5ONTfipiFid6jyU7Km8jxft8luSdiO7cvlkifVm1kA6u3kvuOCCkl2+m23Wt7tY3IaZWT1TYbfIWiulJ8gaG3hz9y9ANPpMIK2trdHW1pZ3NcysF8aMGUP2wC0Ut3PddQFLmhURrVWvYD9wG2bWXHrSfnV7BTAixlSmSmZm/euJJ57IuwpmZjVrXV3Ae3S3PiL+WtnqmJlVxl//2n3ztMce3TZvZmYNbV1PAZccZiAJ4P0VrIuZWcV89rOf7XKdJO68885+rI2ZWW1ZVxfw+/qrImZmlTRjxoy8q2BmVrPKmgpO0gaSvijp8rQ8VtKHq1s1M7O+e/XVV/n617/OKaecAsBjjz3GL3/pIfTMrLmVOxfw1cAq4N1peSHw9arUyMysgiZPnsygQYP485//DMDIkSP54he/mHOtzMzyVW4A+NaI+BbwOkBEvMraw8KYmdWcxx9/nM9//vOst956AGywwQZrDQtjZtZsyg0AV0kaQhoTUNJbgZVVq5WZWYUMGjSIFStWrBkT8PHHH2fw4ME518rMLF/regq401eA3wDbSPoxsDdwQrUqZWZWKV/96lc54IADmD9/PkcffTR3330311xzTd7VMjPLVbkB4PHAr4CpwDzg0xHxQtVqZWZWIddeey0f+tCHOOyww9h+++357ne/y+abb553tczMclVuAHgl8F6y+SnfCvxN0h8i4rtVq5mZWQWcdNJJ/PGPf2T69Ok8/vjj7L777vzbv/0bn/70p/OumplZbrqdC/hNGaWBwDuA9wGnAisi4m1VrFvuPI+mWWNYvXo1M2fOZMaMGVx22WUMGTKERx99tGRezwVsZvWqYnMBFxR4BzAUuAf4I/COiHi+91U0M+sfEyZMYPny5bzrXe/ive99LzNnzmSLLbbIu1pmZrkq9yng2WTjAO4C7Arskp4KNjOrabvuuiuDBg3iwQcfZPbs2Tz44IOsWLEi72qZmeWqrCuAEfEZAEkbkT39ezXwFsBjKZhZTbvooosAWLZsGddccw2TJ0/m2WefZeVKj2RlZs2r3KngTpN0M/A3YCJwFXBgX3cu6QBJcyTNlXR2ifWDJd2c1t8naXTBunNS+hxJ+xekPynpAUn3S2orSN9M0nRJj6V/h/W1/mZW+y655BKOOOIIdt99d37+859z4okn8utf/7oiZbsNM7N6Ve5TwOsD/wPMioj2Suw4PVRyKdmTxQuAmZKmRcTDBdlOApZExA6SJgEXAkdIGgdMAnYGtgZ+J2nHiFidtntfiWFqzgbuiIhvpob6bOCsShyLmdWu1157jTPPPJPx48fT0lJuk7dubsPMrJ6VdQUwIr4TEfdVKvhL9gTmRsS8iFgF3ER2dbHQRODa9H4qMEHZcP4TgZsiYmVEPAHMTeV1p7Csa4GPVuAYzKzGfe5zn+Od73xnRYO/xG2YmdWtch8CqYaRwPyC5QUprWSeFHwuBYavY9sAfitplqRTCvJsGRHPpPfPAltW4iDMrGm5DTOzulXxn8Q14D0RsVDSFsB0SY9GxB8KM0RESCo5AGJqcE8B2HbbbatfWzOzN3MbZmZVl+cVwIXANgXLo1JayTySWoBNgMXdbRsRnf8+D9zKG90qz0naKpW1FVByHMOIuDwiWiOidcSIEb0+ODNreG7DzKxu5RkAzgTGShojaRDZDdHTivJMI5uHGOAw4M7Ipi6ZBkxKT9iNAcYCf5E0NA1Vg6ShwAeAB0uUdTzw8yodl5k1B7dhZla3cusCjoh2SacBtwMDgasi4iFJ5wNtETGNbA7i6yXNBV4ka2BJ+aYADwPtwKciYrWkLYFbs3usaQF+EhG/Sbv8JjBF0knAU8Dh/XawZtZw3IaZWT0rey7gZuR5NM2aj+cCNrN61ZP2K88uYDMzMzPLgQNAMzMzsybTiMPA5K6jI1i8fBWr2lczqGUgw4cOYsAA5V0tMzOrYf7usP7kALDCOjqCOc8t4+Tr2liwZAWjhg3hiuNa2WnLjfyHbGZmJfm7w/qbu4ArbPHyVWv+gAEWLFnByde1sXj5qpxrZmZmtcrfHdbfHABW2Kr21Wv+gDstWLKCVe2ru9jCzMyanb87rL85AKywQS0DGTVsyJvSRg0bwqCWgTnVyMzMap2/O6y/OQCssOFDB3HFca1r/pA77+MYPnRQzjUzM7Na5e8O629+CKTCBgwQO225Ebd+cm8/yWVmZmXxd4f1NweAVTBggBix0eC8q2FmZnXE3x3Wn9wFbGZmZtZkHACamZmZNRl3AVdZ58juHR0drA6ICN/bYWZmFVHu7CGeZcSKOQCsos6R3S+aPofj3z2Gs26Z7RHezcysIsqdPcSzjFgp7gKuos6R3Q8dv82a4A88wruZmfVdubOHeJYRK8UBYBV1juy+6ZD1PMK7mZlVVLmzh3iWESsl1wBQ0gGS5kiaK+nsEusHS7o5rb9P0uiCdeek9DmS9k9p20iaIelhSQ9J+nRB/vMkLZR0f3p9sNrH1zmy+0srXvcI72YNqNHbMKtt5c4e4llGrJTcAkBJA4FLgQOBccCRksYVZTsJWBIROwAXARembccBk4CdgQOA76fy2oHPRsQ4YC/gU0VlXhQRu6XXbVU8POCNkd1vmTWfCw/d1SO8mzWQZmjDrLaVO3uIZxmxUvJ8CGRPYG5EzAOQdBMwEXi4IM9E4Lz0fipwiSSl9JsiYiXwhKS5wJ4RcQ/wDEBELJP0CDCyqMx+0zmy+wUH70pHRwdTPv4uPwVs1jgavg2z2lbu7CGeZcRKyTMAHAnML1heALyzqzwR0S5pKTA8pd9btO3Iwg1TV8vuwH0FyadJOg5oI/uVvaS4UpJOAU4B2HbbbXt6TGvxyO5mDasp2jCrbeV+x/i7yIo15EMgkjYEbgH+MyJeTsk/AN4K7Eb2C/v/ldo2Ii6PiNaIaB0xYkS/1NfMrJDbMDOrtjwDwIXANgXLo1JayTySWoBNgMXdbStpPbKG88cR8dPODBHxXESsjogO4Aqy7pua0NERLFq2koVLXmXRspV0dETeVTKzdXMbZk3J31mNIc8AcCYwVtIYSYPIboieVpRnGnB8en8YcGdEREqflJ6wGwOMBf6S7q25EngkIv6nsCBJWxUsHgw8WPEj6oXOAToP/v7d7H3hDA7+/t3MeW6Z/6DMap/bMGs6/s5qHLkFgBHRDpwG3A48AkyJiIcknS/poJTtSmB4ukH6TODstO1DwBSyG6N/A3wqIlYDewPHAu8vMVTCtyQ9IGk28D7gM/1zpN3zAJ1m9cltmDUjf2c1jlyngkvDGNxWlPblgvevAf/RxbYXABcUpf0JKPlYU0Qc29f6VoMH6DSrX27DrNn4O6txNORDIPXEA3SamVm98HdW43AAmDMP0GlmZvXC31mNI9cuYPMAnWZmVj/8ndU4HADWAA/QaWZm9cLfWY3BXcBmZmZmTcYBoJmZmVmTcRdwTjo6gsXLV/keCjMzq1n+rmpcDgBz0DmSeudgmp1PUe205Ub+wzIzs5rg76rG5i7gHHgkdTMzq3X+rmpsDgBz4JHUzcys1vm7qrE5AMyBR1I3M7Na5++qxuYAMAceSd3MzGqdv6samx8CyYFHUjczs1rn76rG5gAwJx5J3czMap2/qxqXu4DNzMzMmowDQDMzM7Mmk2sAKOkASXMkzZV0don1gyXdnNbfJ2l0wbpzUvocSfuvq0xJY1IZc1OZudzF2tERLFq2koVLXmXRspV0dMRa655buoKnX1rBwiWv8uLylTy/7LWS+a3yuvt8rL70x2fZjG2YNZ6+/q0Ub9/e3tHtcqO0q9VuY6pdfm73AEoaCFwK7AcsAGZKmhYRDxdkOwlYEhE7SJoEXAgcIWkcMAnYGdga+J2kHdM2XZV5IXBRRNwk6bJU9g+qf6Rv6G5UdYA5zy3joulzOP7dYzjrltmM2HAwnz9gJ/5r6myPwt4PPOp94+iPz7IZ2zBrPH39Wyne/gPjtuCMCTty6g2zSi43Srta7TamP9qwPK8A7gnMjYh5EbEKuAmYWJRnInBtej8VmCBJKf2miFgZEU8Ac1N5JctM27w/lUEq86NVPLaSuhtVvXPdoeO34axbsoDv1H3euib4K85vledR7xtHP32WTdeGWePp699K8faHjt9mTbBXarlR2tVqtzH90YblGQCOBOYXLC9IaSXzREQ7sBQY3s22XaUPB15KZXS1LwAknSKpTVLbokWLenFYXetuVPXOdZsOWW9NnsL3xfmt8jzqfePop8+y6dowazx9/Vsp3r74e6tRv8eq3cb0Rxvmh0CKRMTlEdEaEa0jRoyoaNndjareue6lFa+vyVP4vji/VZ5HvW8czfxZVrMNs8bT17+V4u2Lv7ca9Xus2m1Mf7RheQaAC4FtCpZHpbSSeSS1AJsAi7vZtqv0xcCmqYyu9lV13Y2q3rnullnzufDQXRk1bAiX3fU43z5sV4/C3k886n3j6KfPsunaMGs8ff1bKd7+llnzueyY8V0uN0q7Wu02pj/aMEXk8zROasj+AUwga8hmAkdFxEMFeT4FvD0iTk03UB8SEYdL2hn4Cdn9MlsDdwBjAXVVpqT/A24puIF6dkR8v7s6tra2RltbW0WPu6MjWLx8VclR1TvXdXR0sDogIhgyaCDtHcHr7R0ehb0fdPf5WH3p7WcpaVZEtJaRrynbMGs8fW33ircfNmQ9lqx4vcvlRmlXq/190Zvyy22/IMengCOiXdJpwO3AQOCq1MidD7RFxDTgSuB6SXOBF8memiPlmwI8DLQDn4qI1QClyky7PAu4SdLXgb+lsvtdd6Oqe8T1/PkzaBzV/iybtQ2zxtPXv5VS269ruRFUu42pdvm5XQGsB/71bNZ8evILuta5DTNrLj1pv/wQiJmZmVmTcQBoZmZm1mQcAJqZmZk1GQeAZmZmZk3GAaCZmZlZk3EAaGZmZtZkHACamZmZNRkHgGZmZmZNxgGgmZmZWZNxAGhmZmbWZBwAmpmZmTUZB4BmZmZmTcYBoJmZmVmTcQBoZmZm1mQcAJqZmZk1mVwCQEmbSZou6bH077Au8h2f8jwm6fiC9PGSHpA0V9LFkpTSvy3pUUmzJd0qadOUPlrSCkn3p9dl/XOkZtaI3IaZWb3L6wrg2cAdETEWuCMtv4mkzYCvAO8E9gS+UtDI/gA4GRibXgek9OnALhGxK/AP4JyCIh+PiN3S69QqHJOZNQ+3YWZW1/IKACcC16b31wIfLZFnf2B6RLwYEUvIGsYDJG0FbBwR90ZEANd1bh8Rv42I9rT9vcCoah6EmTUtt2FmVtfyCgC3jIhn0vtngS1L5BkJzC9YXpDSRqb3xenFTgR+XbA8RtLfJP1e0nt7XXMzM7dhZlbnWqpVsKTfAW8psercwoWICElR4X2fC7QDP05JzwDbRsRiSeOBn0naOSJeLrHtKcApafEVSXN6sOvNgRf6UPW8uN79y/XuXz2t93bQMG3Ya5IeKli9CbC0YLman2nxviq9XXf5erquOG1dyz5vpdN83spbV83ztl2Z+SAi+v0FzAG2Su+3AuaUyHMk8MOC5R+mtK2AR7vJdwJwD7BBN/u/C2itwnG15XE+Xe/6erne9V/vemnDgMvXsVy1z7R4X5Xerrt8PV1XxnnyefN5a7jzllcX8DSg84m444Gfl8hzO/ABScPSjdMfAG6PrNvlZUl7pSfnjuvcXtIBwOeBgyLi1c6CJI2QNDC9357sput51Tk0M2sC9dKG/WIdy9XU232Vu113+Xq6bl3nyefN563hzptSdNmvJA0HpgDbAk8Bh0fEi5JagVMj4mMp34nAF9JmF0TE1Sm9FbgGGEJ2j8zpERGS5gKDgcVpm3sj4lRJhwLnA68DHcBXIqLiJ1hSW0S0VrrcanO9+5fr3b+qUe9GacPq9TPNm89b7/i89U61zlsuAWCjknRKRFyedz16yvXuX653/6rXevcHn5ve8XnrHZ+33qnWeXMAaGZmZtZkPBWcmZmZWZNxAFgBkg6QNCdN67TWjAA51GcbSTMkPSzpIUmfTuklp69S5uJU/9mS9igoq+RUVlWu/8A03tkv0/IYSfel+t0saVBKH5yW56b1owvKOCelz5G0fz/UeVNJU5VN4/WIpHfVw/mW9Jn0f+RBSTdKWr9Wz7ekqyQ9L+nBgrSKnWN1MT2bmVlDqsajxc30AgYCjwPbA4OAvwPjcq7TVsAe6f1GZFNKjQO+BZyd0s8GLkzvP0h2I7qAvYD7UvpmZE8abgYMS++H9UP9zwR+AvwyLU8BJqX3lwGfSO8/CVyW3k8Cbk7vx6XPYTAwJn0+A6tc52uBj6X3g4BNa/18kw0+/AQwpOA8n1Cr5xv4N2AP4MGCtIqdY+AvKa/StgdW+/+6X3755VdeL18B7Ls9gbkRMS8iVgE3kU0TlZuIeCYi/preLwMeIfuy72r6qonAdZG5F9hU2XRVJaeyqmbdJY0CPgT8KC0LeD8wtYt6dx7PVGBCyj8RuCkiVkbEE8Bcss+pWnXehCw4uRIgIlZFxEvUwfkmGwx+iKQWYAOyAYdr8nxHxB+AF4uSK3KO1c30bM1E0vaSrpQ0dd25rZOkj0q6Il0h/0De9akHkv5F0mWp5+QTedennkgaKqlN0of7Uo4DwL7rarqnmpC66XYH7qPr6au6m7Kqv4/tf8nGQetIy8OBl+KN+VEL67Cmfmn90pS/v+s9BlgEXJ26rn8kaSg1fr4jYiHwHeCfZIHfUmAWtX++C1XqHJc7PVvdKdV1ntLXunUl/ZA9KZ+a1pYenrefRcTJwKnAEXnUtxb08Jw9EhGnAocDe+dR31rRk/OWnEXWU9MnDgAbmKQNgVuA/4yiKaPSVY6aegQ8/Zp5PiJm5V2XHmoh65r8QUTsDiwn645co0bP9zCyK2VjgK2BoVT/imPV1OI5rhHXUPS5KhtU+lLgQLIu/CMljev/qtW0a+j5eftiWt+srqEH50zSQcCvgNv6t5o15xrKPG+S9gMeBp7v604dAPbdQmCbguVRKS1XktYjC/5+HBE/TcnPpa4u0r+d/4G6Oob+Pra9gYMkPUnWlf5+4Ltk3Xed81YX1mFN/dL6TcgG0O3vei8AFkTEfWl5KllAWOvne1/giYhYFBGvAz8l+wxq/XwXqtQ5XpjeF6fXvS66zmvu1pVa05Pzlh46uhD4deftN82op//XImJaRBwIHN2/Na0tPTxv+5Ddq3wUcLKkXsdxDgD7biYwVtmTk4PIbo6flmeF0n1ZVwKPRMT/FKzqavqqacBxqRHbC1iautVKTmVVrXpHxDkRMSoiRpOdxzsj4mhgBnBYF/XuPJ7DUv5I6ZOUPbU6hmzarL9Usd7PAvMl7ZSSJpD9Qqvp803W9buXpA3S/5nOetf0+S5SkXMc3UzP1qBKdoVLGi7pMmB3SefkU7Wa1tUtBKeT/aA6TNKpeVSshnX1f20fZU/b/xBfASyl5HmLiHMj4j/JHpS8IiI6Sm5dhpZ1Z7HuRES7pNPIvlgGAldFxEM5V2tv4FjgAUn3p7QvAN8Epkg6iTR9VVp3G9lTk3OBV4HJAJFNbfU1siAX4PyIKP6V0h/OAm6S9HXgb6SHLdK/1yubPutFsqCRiHhI0hSyYKYd+FRErK5yHU8Hfpx+BMwjO4cDqOHzHRH3KbvZ/69k5+lvwOVkXTI1d74l3Uj263dzSQuAr1DZ/9Of5M3Ts/260sdQ6yJiMdl9bNYDEXExcHHe9agnEXEXcFfO1ahbEXFNX8vwTCBmZg0uPQz2y4jYJS2/CzgvIvZPy+cARMQ38qpjLfJ56zmfs97J47y5C9jMrPnU3K0rdcLnred8znqn6ufNAaCZWQNLXef3ADtJWiDppDSMT+etK48AU2rg1pWa4vPWcz5nvZPXeXMXsJmZmVmT8RVAMzMzsybjANDMzMysyTgAtIYg6S5Jrf2wnxGS7lM25dt7+1jWPpLeXam6mZmZlcsBoDW9glkvyjEBeCAido+IP/Zx1/sAPQoAe1hXMzOzkhwAWr+SNFrSI5KukPSQpN9KGlJ4BU/S5sqmg0PSCZJ+Jmm6pCclnSbpzHQF7l5JmxUUf6yk+yU9KGnPtP1QZRNt/yVtM7Gg3GmS7gTu6KKed0qaLekOSdtK2g34FtnUT/dLGlK0zb2Sdi5YvktSq6TN0jHMTnl2TWM+nQp8JpX13nR18RZJM9Nr71TOeZKul3Q32UDMO6fjuT+VObZSn4+ZmTUHB4CWh7HApRGxM/AScOg68u8CHAK8A7gAeDUidid7bP64gnwbRMRuZDM6XJXSziWbsmxP4H3AtyUNTev2AA6LiH8vsc/vAddGxK7Aj4GLI+J+4MvAzRGxW0SsKNrmZtJMFMrmpd0qItqArwJ/S2V9AbguIp4ELgMuSmX9kWze44si4h3pnPyooOxxwL4RcSRZ4PjddKytZFMEmZmZlc0BoOXhiRRMAcwCRq8j/4yIWBYRi4ClwC9S+gNF294IaybW3ljSpmRzvZ6tbEq8u4D1gW1T/undTLX2LrK5FgGuB96z7sNiCm/MoXs4MDW9f08qg4i4ExguaeMS2+8LXJLqOi0dw4Zp3bSCgPMe4AuSzgK2KxGImlkf+J7itcpW6hHZOC2/Uo399EY5n5Wkm9xTsjYHgJaHlQXvV5PNSd3OG/8f1+8mf0fBcgdvns+6eFDLAAQcmq6y7RYR20bEI2n98s6Mki5IXar3UyZJB3duI6k1IhYCiyXtChxBdkWwJwYAexXUdWREdDa0a+oaET8BDgJWALdJen8P92NmVdKg9xR/EPh7RLzc00rViB8An8+7ErXGAaDViieB8en9Yd3k684RAJLeAyyNiKVko6ifLklp3e6lNoyIczsDr5T0Z7KpdwCOBtZqnCPi1oJgrS0l30zW0GwSEbNT2h9TGUjaB3ghNaTLgI0KivwtcHrnQrrncC2StgfmpQnofw7s2sX5MGtYXd1PnNb5nuLK3lN8NFlbU3xckvTtdI4ekNTZBg+Q9H1Jj6ZzfZuktdp1SWdIejjt96aUtqGkq1N5syUdmtJ/IKktfdZfLVFHJH1A0j2S/irp//RGD8ofgX17GJw3PAeAViu+A3xC0t+AzXtZxmtp+8uAk1La14D1gNmSHkrL5TgdmCxpNnAs8Okyt5tKFjhOKUg7DxifyvomcHxK/wXQeRXxvcAZQGtq9B4ma9BLORx4MF2t3AW4rsy6mTWant5PDL6nGHp+T/HeZLfrFDsE2A34V7JbWL6d6noI2e0548jaz3eV2BbgbGD3dCyd7d2XyH7Avz2l35nSz42IVrIfvP+eelrWkLQ58MV0XHsAbcCZABHRAcxN9bTE0bD1q9RQ7VKw/J2C1YV/0F9M668BrinIP7rg/Zp1EbFPF/tbAXy8RPqbyi2x/ilgra7VMrZ7jqK/q3Sf4UdL5P0Ha1+9O6JEvvOKlr9JFkiaNbue3k8M6Z5iYJmk4nuKC/8e19xTLKnwnuKDJH0u5enJPcWHpPfXk135W5cpZL0CX2Hte4oPTXW7U1J39xSPS50f0P09xedKGgX8NCIeK1HWZumcFXsPcGNErAaek/R7ssD6PcD/pcDrWUkzujjG2cCPJf0M+FlBvTt7X4iIJent4ZJOIWtftyILLmcXlLVXSrs7HfOgdGydnge2pnQg25R8BdDMzOpVqfuJwfcUQ2XvKW6XVI144UPApWRXT2d21UUraQzwOWBCuir4K9b+XEUWhHce77iIOKlg/fpkx2iJA0AzM2s0T+J7iit5T/EcYPsS6X8EjpA0UNII4N+AvwB3A4emewG3JHtApXi/A4BtImIGcBawCbAhMB34VEG+YcDGZEHr0lTegSXqci+wt6Qd0nZDJe1YsH5H4MFS56BZOQA0M7NG43uKK3tP8a8oEcQBt5J1w/6d7F69z0fEs8AtZPcSPgzcAPyVbAivQgOBGyQ9APyN7L7Il4CvA8PSgyV/B94XEX9PeR4lG57r7uKKpGHCTgBuTOfmHuBtACloXJHqZokiiq9ym5mZmWXSgx3XRcR+Pdhmw4h4RdJwsquCe+cVgEn6DPByRFyZx/5rlR8CMTMzsy5FxDPKhtvZuAdjAf4yPTgzCPhazlffXiINxm9v8BVAMzMzsybjewDNzMzMmowDQDMzM7Mm4wDQzMzMrMk4ADQzMzNrMg4AzczMzJqMA0AzMzOzJvP/ATMpAvtwINl4AAAAAElFTkSuQmCC\n",
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\n",
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+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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JmpmZmVmOOVkzMzMzy7Gm+1FcgIGBYOWaPv9at5lZDjlGm62v6ZK1gYHg/sdXc8LCbnp61w7dB2/erKkOBmZmdeYYbbahpusGXbmmbygIAPT0ruWEhd2sXNNX55KZmZljtNmGmi5Z6+tfNxQEBvX0rqWvf12dSmRmZoMco8021HTJWntbK7Ond6y3bvb0DtrbWutUIjMzG+QYbbahpkvWZnS2c+ExXUPBYHA8xIzO9jqXzMzMHKPNNtR0EwxaWsS8WVO57uS9PNPIzCxnHKPNNtR0yRpkwWDm1Cn1LoaZmZXgGG22vqbrBjUzMzNrJE7WzMzMzHLMyZqZmZlZjjXlmDXfysTMrDYcb80mrumSNd/KxMysNhxvzSqj6bpBfSsTM7PacLw1q4ymS9Z8KxMzs9pwvDWrjKoma5IOknS/pGWSziixfYqkq9L22yTNTes3knSppHsk3Sfp45Uqk29lYmblyGP8ajSOt2aVUbVkTVIrcB5wMDAfOFrS/KLdjgd6I2IH4FzgnLT+7cCUiHglsDvwvsFAOFG+lYmZjSav8avRON6aVUY1JxjsASyLiAcAJF0JLADuLdhnAXBmen4N8A1JAgLolNQGdAB9wDOVKtiszaZw1Yl7si5g441a2LJzige7mlmhXMavRptZ6VtHmVVGNZO1bYBHCpZ7gNcMt09E9EtaBcwgC3wLgEeBTYDTIuKp4heQdCJwIsCcOXNGLdBwM5O27PRtTcxsPVWPXzC2GNaoMyt96yizicvrBIM9gHXA1sB2wEckbV+8U0RcEBFdEdE1c+bMUU/qmUlmVgNlxS8YWwxz/DJrXtVM1pYD2xYsz07rSu6TugymASuBdwA/i4gXIuIJ4Faga6IF8swkMyuT45eZ5UY1k7XbgR0lbSepHTgKWFS0zyLg2PT8cODmiAjgr8AbASR1AnsCf5xogTwzyczK5PhlZrlRtWQtIvqBU4AbgfuAqyNiqaSzJB2SdrsImCFpGfBhYHB6/HnAppKWkgXNiyNiyUTL5JlJZlYOxy8zyxNlfwg2vq6uruju7h51v0abTWVmw5O0OCIm3MWYB+XEMMcvs8ljLPGr6e4N6plJZtaoHL/MmlNeZ4OamZmZGU7WzMzMzHLNyZqZmZlZjjlZMzMzM8sxJ2tmZmZmOeZkzczMzCzHnKyZmZmZ5ZiTNTMzM7Mcc7JmZmZmlmNO1szMzMxyzMmamZmZWY45WTMzMzPLsaa7kTvAwECwck0fff3raG9rZUZnOy0tqnexzMxsDBzLrVk0XbI2MBDc//hqTljYTU/vWmZP7+DCY7qYN2uqP+RmZg3CsdyaSdN1g65c0zf04Qbo6V3LCQu7Wbmmr84lMzOzcjmWWzNpupa1vv51Qx/uQT29a+nrX1enEpmZ2WiKuzwdy62ZNF2ytlFbC7Ond6z3IZ89vYON2pqukdHMrCGU6vK8/F9eUzKWt7e11rGkZtXRdMlaW4v40uG7cPGtD3LY7tsyo7OdLTrbaW/1GAczs1oqd4JAqS7Pz15/L99+9+6877LF641Zm9HZPqZzmzWCpkvW1vat47o7lvOBfXfkA5ffMfQh//a7dmezjf1hNjOrhbFMECjV5fnze5/g7AU7c93Je22QkHnygU02Tdf3J4mDX7nVUKIG2V9p7/veYg9MNTOrkbFMEGhva2X29I711s2e3kFLSwszp05hm+mbMHPqlKFEzJMPbLJpumStVTBnxiYemGpmVkdjmSAwo7OdC4/pGkrYirs8J3Jus0bQdN2gLS0trFj9nAemmpnV0WBrWTlxuKVFzJs1tWSX50TPbdYImq5lbUZnOy+ZOoUvHb5L2X+lmZlZZY21taylRSW7PCtxbrO8U0SMvpP0cqAnIp6XtA+wC7AwIp6ucvnK1tXVFd3d3WXtOzAQPL22j7V961gXsPFGLWzZOfKH38zyR9LiiOgaZZ/cxy8YWwybLKo5Y9OzQS3vyolfg8rtBr0W6JK0A3AB8CPgcuDN4ytifbW0iC06p0BnvUtiZjUwqeLXZDLYWtZo5zartXK7QQcioh/4Z+DrEfFvwFbVK5aZWcU4fplZQys3WXtB0tHAscBP0rqNqlMkM7OKcvwys4ZWbrL2HuC1wOci4kFJ2wGXVa9YZmYV4/hlZg2trGQtIu6NiFMj4gpJ04GpEXHOaMdJOkjS/ZKWSTqjxPYpkq5K22+TNLdg2y6SfitpqaR7JG08husyMwMcv8ys8ZWVrEm6RdJmkrYA7gAulPSVUY5pBc4DDgbmA0dLml+02/FAb0TsAJwLnJOObQO+B5wUETsB+wAvlH1VZmaJ45eZNbpyu0GnRcQzwKFkU95fA+w/yjF7AMsi4oGI6AOuBBYU7bMAuDQ9vwbYT5KAA4ElEXE3QESsjAj/9LSZjYfjl5k1tHKTtTZJWwFH8OIA3dFsAzxSsNyT1pXcJ83WWgXMAF4BhKQbJd0h6WNlvqaZWTHHLzNraOX+ztpZwI3ArRFxu6TtgT9Xr1i0AXsDrwaeA36RfjzuF4U7SToROBFgzpw5VSyOmTWwXMYvcAwzs/KUO8HgvyJil4h4f1p+ICIOG+Ww5cC2Bcuz07qS+6RxHtOAlWR/xf46Ip6MiOeAG4BXlSjXBRHRFRFdM2fOLOdSzKzJ5DV+pbI4hpnZqMqdYDBb0nWSnkiPayXNHuWw24EdJW0nqR04ClhUtM8ist8+AjgcuDmy+1/dCLxS0iYpCL4BuLfcizIzG+T4ZWaNrtwxaxeTBaat0+PHad2w0hiOU8gC133A1RGxVNJZkg5Ju10EzJC0DPgwcEY6thf4ClnAvAu4IyKuH8uFmZkljl9m1tDKvZH7XRGx62jr6qkZb4Js1uzKvJF77uMXOIaZNZux3Mi93Ja1lZLeJak1Pd5FNjbDzCzvHL/MrKGVm6y9l2za+2PAo2TjM95TrUKZmVWQ45eZNbSyfrojIh4GDhl1RzOznHH8MrNGN2KyJunrwLCD2iLi1IqXyMysAhy/zGyyGK1lzaNdzaxROX6Z2aQwYrIWEZcWr5P00oh4rHpFMjObOMcvM5ssyp1gUOiGipfCzKw2HL/MrOGMJ1lTxUthZlYbjl9m1nDGk6xdWPFSmJnVhuOXmTWcsn66A0DS3sCOEfFNSTOBTSPiweoVzcysMhy/zKyRlXsj988ApwMfT6s2Ar5XrUKZmVWK45eZNbpyu0H/mexHJdcARMT/AVOrVSgzswpy/DKzhlZustYX2R3fA0BSZ/WKZGZWUY5fZtbQyk3Wrpb0bWBzSScA/40H6ppZY3D8MrOGVu69Qb8s6QDgGWAe8OmIuKmqJTMzqwDHLzNrdKMma5Jagf+OiH0BBzgzaxiOX2Y2GYzaDRoR64ABSdNqUB4zs4px/DKzyaDc31l7FrhH0k2kGVUAEXFqVUplZlY5jl9m1tDKTdZ+kB5mZo3G8cvMGlq5EwwurXZBzMyqwfHLzBpdWcmapB2BzwPzgY0H10fE9lUql5lZRTh+mVmjK/d31i4GvgX0A/sCC/HtWsysMTh+mVlDKzdZ64iIXwCKiIcj4kzgLdUrlplZxTh+mVlDK3eCwfOSWoA/SzoFWA5sWr1i1c7AQLByTR99/etob2tlRmc7LS2qd7HMrHImbfyy+vF3h9VSucnah4BNgFOBs8m6Eo6tVqFqZWAguP/x1ZywsJue3rXMnt7Bhcd0MW/WVH/ozCaPSRm/rH783WG1NmI3qKTL0tPXRcSzEdETEe+JiMMi4nc1KF9VrVzTN/RhA+jpXcsJC7tZuaavziUzs4ma7PHL6sffHVZro41Z213S1sB7JU2XtEXhoxYFrKa+/nVDH7ZBPb1r6etfV6cSmVkFTer4ZfXj7w6rtdG6Qc8HfgFsDywGCtt3I61vWO1trcye3rHeh2729A7a21rrWCozq5BJHb+sfvzdYbU2YstaRHwtIv4e+G5EbB8R2xU8Gj7Qzehs58Jjupg9vQNgaNzBjM72OpfMzCZqsscvqx9/d1itKSKG3zhKV0FEPFXxEo1TV1dXdHd3j/k4z+gxa1ySFkdE1zDbGiZ+wfhjmNWHvztsokaKX8VG6wZdTNZdAOt3IUAZ3QiSDgK+CrQC34mILxRtn0L2A5W7AyuBIyPioYLtc4B7gTMj4sujlHVcWlrEzKlTqnFqM6uvSR+/rH783WG1NGKyFhHbjffEklqB84ADgB7gdkmLIuLegt2OB3ojYgdJRwHnAEcWbP8K8NPxlsHMmpfjl5lNFiMma5JeNdL2iLhjhM17AMsi4oF0riuBBWR/aQ5aAJyZnl8DfEOSIiIk/RPwILBmxCswMyvB8cvMJovRukH/vxG2BfDGEbZvAzxSsNwDvGa4fSKiX9IqYIakvwGnk/1V+9FRymhmVorjl5lNCqN1g+5bq4IUORM4NyKelYYfsCnpROBEgDlz5tSmZGbWEPIev8AxzMzKU9aN3CVtIulTki5IyztKeusohy0Hti1Ynp3WldxHUhswjWyg7muAL0p6CPhX4BPpnn7riYgLIqIrIrpmzpxZzqWYWZPJa/wCxzAzK09ZyRpwMdAHvC4tLwc+O8oxtwM7StpOUjtwFLCoaJ9FvHiPvsOBmyPz+oiYGxFzgf8E/iMivlFmWc3MCjl+mVlDKzdZe3lEfBF4ASAinmPDqfDriYh+4BTgRuA+4OqIWCrpLEmHpN0uIhvjsQz4MHDGOK7BzGwkjl9m1tBGm2AwqE9SB+k3iyS9HHh+tIMi4gbghqJ1ny54/jfg7aOc48wyy2hmVorjl5k1tHKTtc8APwO2lfR9YC/guGoVysysghy/zKyhlZusHQtcT/ZbQg8AH4qIJ6tWKjOzynH8MrOGVm6ydhHwerLfDXo5cKekX0fEV6tWMjOzynD8MrOGVlayFhG/lPRr4NXAvsBJwE5k980zM8stxy8za3RlJWuSfgF0Ar8FfgO8OiKeqGbBzMwqwfHLzBpduT/dsYTsd4p2BnYBdk6zq8zM8s7xy8waWrndoKcBSJpKNovqYuClwJSqlczMrAIcv8ys0ZXbDXoK2QDd3YGHgO+SdSeYmeWa45eZNbpyZ4NuDHwFWJx+2dvMrFE4fplZQyu3G/TL1S6ImVk1OH6ZWaMrd4KBmZmZmdWBkzUzMzOzHHOyZmZmZpZjTtbMzMzMcszJmpmZmVmOOVkzMzMzyzEna2ZmZmY55mTNzMzMLMecrJmZmZnlmJM1MzMzsxxzsmZmZmaWY07WzMzMzHLMyZqZmZlZjjlZMzMzM8sxJ2tmZmZmOeZkzczMzCzHnKyZmZmZ5ZiTNTMzM7Mca6t3AfJkYCBYuaaPvv51tLe1MqOznZYW1btYZmY2Cfg7xsbLyVoyMBDc//hqTljYTU/vWmZP7+DCY7qYN2uqP0xmZjYh/o6xiahqN6ikgyTdL2mZpDNKbJ8i6aq0/TZJc9P6AyQtlnRP+veN1SwnwMo1fUMfIoCe3rWcsLCblWv6qv3SZpZDjRS/LP/8HWMTUbVkTVIrcB5wMDAfOFrS/KLdjgd6I2IH4FzgnLT+SeBtEfFK4FjgsmqVc1Bf/7qhD9Ggnt619PWvq/ZLm1nONFr8svzzd4xNRDVb1vYAlkXEAxHRB1wJLCjaZwFwaXp+DbCfJEXEnRHxf2n9UqBD0pQqlpX2tlZmT+9Yb93s6R20t7VW82XNLJ8aKn5Z/vk7xiaimsnaNsAjBcs9aV3JfSKiH1gFzCja5zDgjoh4vvgFJJ0oqVtS94oVKyZU2Bmd7Vx4TNfQh2lwPMGMzvYJndfMGlLV4xdUNoZZvvk7xiYi1xMMJO1E1rVwYKntEXEBcAFAV1dXTOS1WlrEvFlTue7kvTxTx8wmbLT4BZWNYZZv/o6xiahmsrYc2LZgeXZaV2qfHkltwDRgJYCk2cB1wDER8ZcqlnNIS4uYOdW9FWbWePHL8s/fMTZe1ewGvR3YUdJ2ktqBo4BFRfssIhuAC3A4cHNEhKTNgeuBMyLi1iqW0cysFMcvM8uNqiVraQzHKcCNwH3A1RGxVNJZkg5Ju10EzJC0DPgwMDg9/hRgB+DTku5Kj5dUq6xmZoUcv8wsTxQxOYZJdHV1RXd3d72LYWY1JGlxRHTVuxyV4Bhm1lzGEr98b1AzMzOzHHOWCNoAAAATVklEQVSyZmZmZpZjTtbMzMzMcszJmpmZmVmOOVkzMzMzy7Fc38GgXgYGgpVr+vwr02ZmVnP+DrJiTtaKDAwE9z++mhMWdtPTu3bo/m3zZk31h8XMzKrK30FWirtBi6xc0zf0IQHo6V3LCQu7Wbmmr84lMzOzyc7fQVaKk7Uiff3rhj4kg3p619LXv65OJTIzs2bh7yArxclakfa2VmZP71hv3ezpHbS3tdapRGZm1iz8HWSlOFkrMqOznQuP6Rr6sAyOF5jR2V7nkpmZ2WTn7yArxRMMirS0iHmzpnLdyXt5Jo6ZmdWUv4OsFCdrJbS0iJlTp9S7GGZm1oT8HWTF3A1qZmZmlmNO1szMzMxyzMmamZmZWY45WTMzMzPLMU8wGMHg/dkGBgZYFxARQzNzAN+7zczMamqk+4aWc09R33e0MTlZG8bg/dnOvel+jn3ddpx+7ZKh+7QtfO8ePN8/4Hu3mZlZzYx031Bg1HuK+r6jjcvdoMMYvD/bYbtvO5SoAczcdAoDge/dZmZmNTXSfUOH2/b02j5WrH6e5b3P8dgzf/N3V4Nyy9owBu/PtnnHRkP/sXfbdnM++qZ5PP1cn+/dZmZmNTXafUOLt83cdAqPPv033ve9xfT0ruWak17r764G5Za1YQzen+3ptS8M3fbjpH1ezunXLmHlmj7fu83MzGpqpPuGltp26n47DiVqgL+7GpiTtWEM3p/t2sWPcM5huzB7esdQK9v5t/xlaB343m1mZlZ9I903tNS27bbsXK8lzd9djUsRUe8yVERXV1d0d3dX9JylZoMeecHv6Oldy27bbs5J+7ycGZ3tbL15By/dbGMP0DSrMUmLI6Kr3uWohGrEMJt8xjIbNAgO/eb/rpewHTj/JZx5yM7r/bqBv7vqYyzxyy1rIxi8P9usaR1svXkHW03rGPrL5c5Hnubsn9xL55S2oURtYCCGBnKuWP08AwOTIxE2M7N8GPxe2mb6JsycOmW9RKt425adUzZobTvtgHm8dLONSx4P+HsspzzBYAxaWsS8WVO57uS9NvirxlOizcwsT0b6zirF32P55Za1MRrur5qRplSbmZnVw0gtccX8PZZfTtYqZLQp1WZmZnnm77H8crJWISNNqTYzM8s7f4/ll5O1ChlpSrWZmVne+Xssv6o6wUDSQcBXgVbgOxHxhaLtU4CFwO7ASuDIiHgobfs4cDywDjg1Im6sZlnHq3Cq9KzNpvCDk1/HC/0DnhJdA74h8eSRx/eyGeKXWfFnb8eZm5Y9IaGRVDvGVPv8VUvWJLUC5wEHAD3A7ZIWRcS9BbsdD/RGxA6SjgLOAY6UNB84CtgJ2Br4b0mviIhcdZx75kz9uO4njzy+l80Qv8zy+NmrhmpfZy3qsZrdoHsAyyLigYjoA64EFhTtswC4ND2/BthPktL6KyPi+Yh4EFiWzpcrnjlTP677ySOn7+Wkj19mOf3sVVy1r7MW9VjNZG0b4JGC5Z60ruQ+EdEPrAJmlHkskk6U1C2pe8WKFRUsenk8c6Z+XPeTR07fy6rHL6h/DLPmltPPXsVV+zprUY8NPcEgIi6IiK6I6Jo5c2bNX98zZ+rHdT95NPN7We8YZs2tWT571b7OWtRjNZO15cC2Bcuz07qS+0hqA6aRDdQt59i688yZ+nHdTx45fS8nffwyy+lnr+KqfZ21qMeq3cg9Ba8/AfuRBarbgXdExNKCfT4AvDIiTkoDdA+NiCMk7QRcTjbOY2vgF8COIw3QrddNkPM4i61ZuO4nj/G+l9W6kXut4xf4Ru5WH80SR/M4G3Qs8atqs0Ejol/SKcCNZFPfvxsRSyWdBXRHxCLgIuAyScuAp8hmUJH2uxq4F+gHPpDXmVSDt/Kw2nPdTx55ey+bJX6Z5e2zVy3Vvs5qn79qLWu15r9KzZpPtVrW6sExzKy5jCV+NfQEAzMzM7PJzsmamZmZWY45WTMzMzPLMSdrZmZmZjnmZM3MzMwsx5ysmZmZmeWYkzUzMzOzHJs0v7MmaQXw8BgO2RJ4skrFqSaXu7Zc7toaa7lfFhGT4qaaklYBfy5YNY3s5vCDqvmeFr9WpY8bab+xbiteN9qy6630OtdbeduqWW/lx6+IaMoH2a+Q170cLne+Hy63y13Da79glOWq1U3xa1X6uJH2G+u2MurJ9eZ6m3T15m5QM7N8+PEoy7V87UofN9J+Y902Wj253lxvk67eJk036FhJ6o4GvE2Ny11bLndtNWq5a8F1Mz6ut/FxvY1PteqtmVvWLqh3AcbJ5a4tl7u2GrXcteC6GR/X2/i43sanKvXWtC1rZmZmZo2gmVvWzMzMzHKv6ZI1SQdJul/SMkln5KA820r6paR7JS2V9KG0fgtJN0n6c/p3elovSV9L5V8i6VUF5zo27f9nScfWqPytku6U9JO0vJ2k21L5rpLUntZPScvL0va5Bef4eFp/v6Q31aDMm0u6RtIfJd0n6bWNUN+STkv/R/4g6QpJG+e1viV9V9ITkv5QsK5idSxpd0n3pGO+JknVuA4zs1yo1tTcPD6AVuAvwPZAO3A3ML/OZdoKeFV6PhX4EzAf+CJwRlp/BnBOev5m4KeAgD2B29L6LYAH0r/T0/PpNSj/h4HLgZ+k5auBo9Lz84H3p+cnA+en50cBV6Xn89P7MAXYLr0/rVUu86XAv6Tn7cDmea9vYBvgQaCjoJ6Py2t9A/8IvAr4Q8G6itUx8Pu0r9KxB1f7/7offvjhR70ezdaytgewLCIeiIg+4EpgQT0LFBGPRsQd6flq4D6yL+YFZEkF6d9/Ss8XAAsj8ztgc0lbAW8CboqIpyKiF7gJOKiaZZc0G3gL8J20LOCNwDXDlHvweq4B9kv7LwCujIjnI+JBYBnZ+1StMk8jSyQuAoiIvoh4mgaob6AN6JDUBmwCPEpO6zsifg08VbS6InWctm0WEb+LiAAWFpyraUjaXtJFkq4ZfW8bJOmfJF2YWp4PrHd5GoGkv5d0fuqReH+9y9NIJHVK6pb01omcp9mStW2ARwqWe9K6XEhdVbsBtwGzIuLRtOkxYFZ6Ptw11OPa/hP4GDCQlmcAT0dEf4kyDJUvbV+V9q91ubcDVgAXp+7b70jqJOf1HRHLgS8DfyVL0lYBi8l/fReqVB1vk54Xr294pbqP0/oNhm+kPzqPr09J82WM9fbDiDgBOAk4sh7lzYMx1tl9EXEScASwVz3KmxdjqbfkdLIekAlptmQttyRtClwL/GtEPFO4LbUe5Grabvor4YmIWFzvsoxRG1n33LciYjdgDVmX3JCc1vd0shao7YCtgU6q35JXNXms45y4hKL3VVIrcB5wMFk39tGS5te+aLl2CWOvt0+l7c3qEsZQZ5IOAa4HbqhtMXPnEsqsN0kHAPcCT0z0RZstWVsObFuwPDutqytJG5Elat+PiB+k1Y+n7h7Sv4Nv9nDXUOtr2ws4RNJDZN3JbwS+StaF1VaiDEPlS9unASvrUO4eoCcibkvL15Alb3mv7/2BByNiRUS8APyA7D3Ie30XqlQdL0/Pi9c3vGG6j3M3fCNvxlJvaULLOcBPB4egNKOx/l+LiEURcTDwztqWNF/GWG/7kI2tfQdwgqRx51zNlqzdDuyobAZdO9nA60X1LFAaR3QRcF9EfKVg0yJgcPbbscCPCtYfkwLOnsCq1LV0I3CgpOmpFebAtK4qIuLjETE7IuaS1ePNEfFO4JfA4cOUe/B6Dk/7R1p/lLLZi9sBO5INHq9WuR8DHpE0L63aj+wvn1zXN1n3556SNkn/ZwbLnev6LlKROk7bnpG0Z6qLYwrONRmV7A6WNEPS+cBukj5en6Ll2nDd6B8k++PncEkn1aNgOTbc/7V9lM26/jZuWSulZL1FxCcj4l/JJuFdGBEDJY8uQ9vou0weEdEv6RSyL4FW4LsRsbTOxdoLeDdwj6S70rpPAF8ArpZ0PPAw2VgByD4obyYbGP4c8B6AiHhK0tlkCSnAWRFRnP3XwunAlZI+C9xJGsif/r1M0jKyv0qOAoiIpZKuJks8+oEPRMS6Kpfxg8D3U8L+AFkdtpDj+o6I25QNJL+DrJ7uJPul7OvJYX1LuoLsr8otJfUAn6Gy/6dPJuuO6CCbDfrTSl9D3kXESrJxVzYGEfE14Gv1LkcjiYhbgFvqXIyGFRGXTPQcvoOBmVmOpIlGP4mIndPya4EzI+JNafnjABHx+XqVMY9cb2PnOhufetRbs3WDmpk1mtwN32gQrrexc52NT9XrzcmamVlOpO7j3wLzJPVIOj799Mrg8I37gKtzMHwjV1xvY+c6G5961Zu7Qc3MzMxyzC1rZmZmZjnmZM3MzMwsx5ysWc1JukVSVw1eZ6ak25TdVur1EzzXPpJeV6mymZmZlcvJmjWUgl/rL8d+wD0RsVtE/GaCL70PMKZkbYxlNTMzK8nJmg1L0lxJ90m6UNJSST+X1FHYMiZpS2W3nELScZJ+KOkmSQ9JOkXSh1PL1u8kbVFw+ndLukvSHyTtkY7vVHaT3N+nYxYUnHeRpJuBXwxTzpslLZH0C0lzJO0KfJHs9jJ3SeooOuZ3knYqWL5FUpekLdI1LEn77JJ+U+ck4LR0rtenVrtrJd2eHnul85wp6TJJt5L9KO1O6XruSufcsVLvj5mZNQcnazaaHYHzImIn4GngsFH23xk4FHg18DnguXTD9N+S3RZo0CYRsSvZL9F/N637JNltkfYA9gW+JKkzbXsVcHhEvKHEa34duDQidgG+D3wtIu4CPg1cFRG7RsTaomOuIv2CvrL7VG4VEd3AvwN3pnN9AlgYEQ8B5wPnpnP9huw+qOdGxKtTnXyn4Nzzgf0j4miyJO+r6Vq7yG5DYmZmVjYnazaaB1PiA7AYmDvK/r+MiNURsQJYBfw4rb+n6NgrYOimuJtJ2pzs3o9nKLvt1i3AxsCctP9NI9zO6bVk914DuAzYe/TL4mpevKfmEWQ3dCcde1kq283ADEmblTh+f+AbqayL0jVsmrYtKkgOfwt8QtLpwMtKJI1mNgEeA7vBuZV6GjZLy89W43XGo5z3StKV7oHYkJM1G83zBc/Xkd1Ptp8X/+9sPML+AwXLA6x/L9riH/gLQMBhqfVq14iYExH3pe1rBneU9LnUrXgXZZL0z4PHSOqKiOXASkm7AEeStbSNRQuwZ0FZt4mIwaA4VNaIuBw4BFgL3CDpjWN8HTOrkkk6BvbNwN0R8cxYC5UT3wI+Vu9C5I2TNRuPh4Dd0/PDR9hvJEcCSNobWBURq8h+/fmDkpS27VbqwIj45GCSlFb9L+lG5cA7gQ0CaURcV5BYdafVV5EFhWkRsSSt+006B5L2AZ5MQW81MLXglD8nuyE8ad9dKUHS9sAD6ebRPwJ2GaY+zCat4ca/pm0eA1vZMbDvJIs1xdclSV9KdXSPpMEY3CLpm5L+mOr6BkkbxHVJp0q6N73ulWndppIuTudbIumwtP5bkrrTe/3vJcqIpAMl/VbSHZL+Sy/2TPwG2H+MifSk52TNxuPLwPsl3QlsOc5z/C0dfz5wfFp3NrARsETS0rRcjg8C75G0BHg38KEyj7uGLMm7umDdmcDu6VxfAI5N638MDLbOvR44FehKAepesuBbyhHAH1Ir4M7AwjLLZjbZjHX8K3gMLIx9DOxeZENWih0K7Ar8A9kwji+lsh5KNkRlPln8fG2JYwHOAHZL1zIY7/4f2R/br0zrb07rPxkRXWR/nL4h9WAMkbQl8Kl0Xa8CuoEPA0TEALAsldMSZ642rBRUdi5Y/nLB5sIP36fS9kuASwr2n1vwfGhbROwzzOutBd5XYv165y2x/WFgg+7FMo57nKLPQBoX908l9v0TG7aKHVlivzOLlr9AlvSZNbuxjn+FNAYWWC2peAxs4edxaAyspMIxsIdI+mjaZyxjYA9Nzy8ja1EbzdVkre2fYcMxsIelst0saaQxsPNTpwKMPAb2k5JmAz+IiD+XONcWqc6K7Q1cERHrgMcl/YosCd4b+K+UJD0m6ZfDXOMS4PuSfgj8sKDcg70aRERvenqEpBPJ4utWZIngkoJz7ZnW3ZquuT1d26AngK0pnXQ2JbesmZlZLZQa/woeAwuVHQPbL6ka3+1vAc4ja5W8fbhuSknbAR8F9kutbdez4fsqsoR58HrnR8TxBds3JrtGS5ysmZlZPT2Ex8BWcgzs/cD2Jdb/BjhSUqukmcA/Ar8HbgUOS2PXZpFNfih+3RZg24j4JXA6MA3YFLgJ+EDBftOBzcgSzFXpfAeXKMvvgL0k7ZCO65T0ioLtrwD+UKoOmpWTNTMzqyePga3sGNjrKZFwAdeRdUXeTTa27GMR8RhwLdnYt3uB7wF3kP3sUqFW4HuS7gHuJBvH9zTwWWB6mrRwN7BvRNyd9vkj2U8q3VpckPTTTscBV6S6+S3wdwApwVubymaJIopbj83MzKwRpUkDCyPigDEcs2lEPCtpBllr2171SpYknQY8ExEX1eP188oTDMzMzCaJiHhU2U+kbDaG31r7SZqU0Q6cXedWradJP0xuL3LLmpmZmVmOecyamZmZWY45WTMzMzPLMSdrZmZmZjnmZM3MzMwsx5ysmZmZmeWYkzUzMzOzHPv/AcmhXJkFlAryAAAAAElFTkSuQmCC\n",
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+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "for pmp in sorted(df8_QV['variance-of-perceived-pivotality'].unique()):\n",
+ " pdf = df8_QV[df8_QV['variance-of-perceived-pivotality']==pmp]\n",
+ " f, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4))\n",
+ " sns.scatterplot(x=\"number-of-voters\", y=\"wellfare-loss\",\n",
+ " data=pdf, ax=ax1)\n",
+ "\n",
+ " sns.scatterplot(x=\"number-of-voters\", y=\"wellfare-loss\",\n",
+ " data=pdf, ax=ax2)\n",
+ " ax2.set(xscale=\"log\", xlabel = \"number-of-voters (log scale)\")\n",
+ " \n",
+ " f.suptitle(\"QV wellfare loss vs n voters, pmp={}\".format(pmp))\n",
+ " plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "## Wellfare loss of QV vs Variance of Percieved Pivotality"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "### Single Graph with four number-of-voters values"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 176,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "pdf = df8_QV[df8_QV['number-of-voters'].isin([11, 101, 501, 1001, 10001])].copy()\n",
+ "pdf['n_voters'] = pdf['number-of-voters'].apply(lambda n: \"=\" + str(n))\n",
+ "\n",
+ "\n",
+ "f, ax = plt.subplots(figsize=(4, 3))\n",
+ "sns.scatterplot(x=\"variance-of-pp\", y=\"wellfare-loss\",\n",
+ " hue=\"n_voters\",\n",
+ " legend='full',\n",
+ " ax=ax,\n",
+ " data = pdf)\n",
+ "\n",
+ "ax.set(ylim=(0,.22))\n",
+ "ax.set_xlabel(\"Variance of Percieved Pivotality\", fontsize=12)\n",
+ "ax.set_ylabel('Wellfare Loss', fontsize=12)\n",
+ "ax.tick_params(labelsize=10)\n",
+ "\n",
+ "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
+ "plt.savefig(\"figures/1QV_WL_vs_VMPP_prop8.png\", bbox_inches='tight', dpi=300)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "### Separate Graphs for Each number-of-voters value"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 98,
+ "metadata": {
+ "hidden": true,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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QkVga41lRXs3bC1cxrG83+nUvpHvHzKwrgMWrKrnqn/P46Ks1HDK4Nz85eFe2S3DSVVZVw2Ozl3Lds59SVVvPxBF9uOTwwWk7QUvpay7MrAh4qpkrhduAme7+YNj+CcFrYL9qaZzFxcW+qf+nUFvfwMOzFpOfk825D7/H/WfszU8fmM3qytqonzE7d+evPyymRxo2nrKqGs558F1e/nRlVNYxL5sXzxuXkZ2pZE01E//8Ol+Vrf/Y2W7bd+KBM7+VcONNtbr6Br5YuZbLn5jL4m8qmTiiD6ftNyBjVy9flq7l4Otm0hCzy9xxSjHf3qO5D3+l1sdflXPY1FejeDrmZfP8uQexY9fCtMfi7jz53jLOmTYnKtupRwce+fG+9Oqc/vVVU9fAI7OXcNGjH0Rl/3vQQP7fwbvSKY1n3Y1K1lRz9C1vsOSbqqhs8qi+XHnUnnTKbxrPx8vLOfSGV5uUXX7kEH64T1Gbrr7M7B13L26tv0xeb/al6acKl9DMJwbN7Cwzm2Vms0pKSjZ5ghXVdayrbeBfHwZ5JyfLmiQEgHe+/Ia6+pa+F7P5rKtr4L9frGpStramnjXVdWmZfrzq2oYmCQHg068rqE3T8oi3am0Nx/zlDd74vJTFq6q4+aXPueP1L6ipy0w8L368oklCAHjgv4uorEn/+qqpa+D2Vxc0iWdtTT3Pzf067bEAlK6t4ZaZTb+UumhVJUtXVzUzRGqtrqrh909/1KTsb69+wZp1mdm31q6rb5IQAJ56/yuqauo36PftuGMCwAsfrUjbdtY+KiFb4e63u3uxuxf36tXqf2k3q2N+Dj065tG3+/rqoU75TWvQ9uzTJW11obnZWQzv161JWX5OFp3zM/OP5vk5WfSMu0Iq6tkhY3XVS1dXUR6XIP8xZxmrK2syEk9Rgmq0XXp1IjcD1TUGFCaoky7IS3+1I0CWGfkJqvbysjNzX8EdKuMOuPUNTkN8Vk+T/NysDY4rfbsXYgm+kjqyf7cNyr41sGfC9Z0KmUwKS2n6/dp+rP/ubErk5WSx7649+V5xP/p0LeCO1xdy9eRhdC0MLt/6dS9k6gmj0lY90b1DHtceO5yinkGS6pyfw01TRtGlMDNJoUfHPG77wZgoMWzfJZ9bThzNdp0yUw+bqAqvX/fCjN1XGNa3K2OLukftfboWcOp+RRlJCrk5WZx14MAmB4renfMZt9umnzS1RY+OeVxw6B7Efn14RP+u9M7QPYWOedkcPbppxcPeA3pQmJeZfatzfg6/OGRQ1J6XncXVk4fRM8G+1a9HB34ybhdywiRywK49OWFs/7TdK8rkPYXDCT4ufhjBDeap7j62tXG25Z5Co7LKWtbW1PFVWTU9OuRSkJtNXYNTkJvFdp3yafpd7dQrWbOO6tp68nKy6FaYS36azggSqatvYFVlDetqG8jPzaJnBp+GWl1Zw/XPz+fuNxYCwVXdIz/eh9136JKReABKK9axIlxf/boX0qtz5m6k1tbXU7Kmhqc/+IoOedmMH7w9vTunf/ttVLGujq/Lqnn6w68YuF0n9h7YIyP3ohqVVqzjH3OW8fxHXzN2QA9O3HvnjNzfaFRWVUtZVS3LVldR1LMD3TrkNfsEUsW6Oiqq62hwpzAvm+6b4WGGZO8ppCwpmNmDBN/Z3Y7gg+CXA7kA7n5r+Ejqn4FDCR5JPdXdWz3ab46kIFuO1ZU1rK6spXRtDf26F9KzY17Gnq6RLU99g7N2XR0d8rK3+e0m2aSQsmspd5/SSncHfpqq6cvWoVuHPLp1yEtYny/Smuwso0th+p822pJt26lTRESaUFIQEZGIkoKIiESUFEREJKKkICIiESUFERGJKCmIiEhESUFERCJKCiIiElFSEBGRiJKCiIhElBRERCSipCAiIhElBRERiSgpiIhIRElBREQiSgoiIhJRUhARkYiSgoiIRJQUREQkoqQgIiIRJQUREYkoKYiISERJQUREIkoKIiISUVIQEZGIkoKIiESUFEREJKKkICIiESUFERGJKCmIiEgkpUnBzA41s0/M7DMzuzBB953M7CUze9fM3jezw1IZj4iItCxlScHMsoGbge8CQ4ApZjYkrrdLgIfcfRRwAnBLquIREZHWpfJKYSzwmbsvcPcaYBowKa4fB7qEzV2BZSmMR0REWpHKpNAXWBzTviQsi3UFcJKZLQGeBv5fohGZ2VlmNsvMZpWUlKQiVhERIfM3mqcAd7l7P+Aw4F4z2yAmd7/d3YvdvbhXr15pD1JEZFuRyqSwFOgf094vLIt1OvAQgLv/BygAtkthTCIi0oJUJoW3gUFmNsDM8ghuJD8R188iYDyAmQ0mSAqqHxIRyZCUJQV3rwPOBp4BPiJ4ymiumV1pZhPD3s4FzjSz94AHgVPc3VMVk4iItCwnlSN396cJbiDHll0W0zwP2C+VMYiISPIyfaNZRETaESUFERGJKCmIiEhESUFERCJKCiIiElFSEBGRiJKCiIhElBRERCSipCAiIhElBRERiSgpiIhIRElBREQiSgoiIhJRUhARkYiSgoiIRJQUREQkoqQgIiIRJQUREYkoKYiISERJQUREIkoKIiISUVIQEZGIkoKIiESUFEREJJJUUjCzXcwsP2weZ2bnmFm31IYmIiLpluyVwiNAvZntCtwO9AceSFlUIiKSEckmhQZ3rwOOBm5y9/OBHVMXloiIZEKySaHWzKYAJwNPhWW5qQlJREQyJdmkcCqwD/Bbd//CzAYA96YuLBERyYScZHpy93nAOQBm1h3o7O5/SGVgIrJpamtrWbJkCdXV1ZkORTKgoKCAfv36kZu7aZU5SSUFM5sJTAz7fwdYYWavu/svWxnuUOBGIBv4m7tfnaCf7wFXAA685+7f35gZEJGmlixZQufOnSkqKsLMMh2OpJG7U1paypIlSxgwYMAmjSPZ6qOu7l4OTAbucfe9gUNaGsDMsoGbge8CQ4ApZjYkrp9BwEXAfu6+J/DzjYxfROJUV1fTs2dPJYRtkJnRs2fPNl0lJpsUcsxsR+B7rL/R3JqxwGfuvsDda4BpwKS4fs4Ebnb3bwDcfUWS4xaRFighbLvauu6TTQpXAs8An7v722Y2EJjfyjB9gcUx7UvCsli7AbuZ2etm9mZY3bQBMzvLzGaZ2aySkpIkQxYRkY2VVFJw94fdfbi7/zhsX+Dux2yG6ecAg4BxwBTgr4n+U9rdb3f3Yncv7tWr12aYrIi0BwsXLuSBB9b/H+ysWbM455xzMhhR64qKili5cuVmGddhhx3G6tWrN8u4NpdkX3PRz8weM7MV4e8RM+vXymBLCf7zuVG/sCzWEuAJd6919y+ATwmShIhsA+KTQnFxMVOnTs1gROn19NNP061b+3pjULLVR3cCTwB9wt+TYVlL3gYGmdkAM8sDTgjHEetxgqsEzGw7guqkBUnGJCLt0IUXXsjNN98ctV9xxRVce+21nH/++QwdOpRhw4Yxffr0qN9XX32VkSNHcv311zNz5kyOOOKIaLjTTjuNcePGMXDgwCbJ4je/+Q277747+++/P1OmTOG6667bII6FCxeyxx57cMopp7Dbbrtx4okn8vzzz7PffvsxaNAg3nrrLQDWrl3LaaedxtixYxk1ahT/+Mc/AKivr+e8885j6NChDB8+nJtuuika90033cTo0aMZNmwYH3/8MQBvvfUW++yzD6NGjWLfffflk08+AeCuu+5i8uTJHHrooQwaNIgLLrggGk/jVcfatWs5/PDDGTFiBEOHDo2WT1FRERdddBEjR46kuLiY2bNnM2HCBHbZZRduvfXWtq+sRNy91R8wJ5myBP0cRnD2/zlwcVh2JTAxbDbgT8A84APghNbGOWbMGBeR5s2bNy+j0589e7YfeOCBUfvgwYP9rrvu8kMOOcTr6up8+fLl3r9/f1+2bJm/9NJLfvjhh0f9xrZffvnlvs8++3h1dbWXlJR4jx49vKamxt966y0fMWKEV1VVeXl5ue+6665+7bXXbhDHF1984dnZ2f7+++97fX29jx492k899VRvaGjwxx9/3CdNmuTu7hdddJHfe++97u7+zTff+KBBg7yiosJvueUWP+aYY7y2ttbd3UtLS93dfeedd/apU6e6u/vNN9/sp59+uru7l5WVRf0+99xzPnnyZHd3v/POO33AgAG+evVqr6qq8p122skXLVoUjaukpMRnzJjhZ5xxRhT76tWro+633HKLu7v//Oc/92HDhnl5ebmvWLHCe/fu3ew6SLQNALM8ieN9Uv+nAJSa2UnAg2H7FKA0iYTzNPB0XNllMc0O/DL8ichWYNSoUaxYsYJly5ZRUlJC9+7dmTNnDlOmTCE7O5vtt9+egw46iLfffpsuXbq0OK7DDz+c/Px88vPz6d27N19//TWvv/46kyZNoqCggIKCAo488shmhx8wYADDhg0DYM8992T8+PGYGcOGDWPhwoUAPPvsszzxxBPR1UZ1dTWLFi3i+eef50c/+hE5OcFhskePHtF4J0+eDMCYMWN49NFHASgrK+Pkk09m/vz5mBm1tbVR/+PHj6dr164ADBkyhC+//JL+/dfXrg8bNoxzzz2XX/3qVxxxxBEccMABUbeJEydG/VRUVNC5c2c6d+5Mfn4+q1ev3uzVT8lWH51G8DjqcuAr4FiCV1+IiGzguOOOY8aMGUyfPp3jjz9+k8eTn58fNWdnZ1NXV9dsv4sXL2bkyJGMHDkyqlqJHT4rKytqz8rKisbl7jzyyCPMmTOHOXPmsGjRIgYPHpxUXLExXXrppRx88MF8+OGHPPnkk03+V6C1+dhtt92YPXs2w4YN45JLLuHKK6/cYNjY+OPnYXNK9umjL919orv3cvfe7n6Uuy/a7NGIyFbh+OOPZ9q0acyYMYPjjjuOAw44gOnTp1NfX09JSQmvvPIKY8eOpXPnzqxZs2ajxr3ffvtFB92Kigqeeir416n+/ftHB/Yf/ehHSY9vwoQJ3HTTTY1V3rz77rsAfOc73+G2226LDryrVq1qcTxlZWX07Rs8dX/XXXdt1DwtW7aMDh06cNJJJ3H++ecze/bsjRp+c2qx+sjMbiJ4/URC7t6+nx0TkYzYc889WbNmDX379mXHHXfk6KOP5j//+Q8jRozAzLjmmmvYYYcd6NmzJ9nZ2YwYMYJTTjmFUaNGtTruvfbai4kTJzJ8+HC23357hg0bFlXNbIpLL72Un//85wwfPpyGhgYGDBjAU089xRlnnMGnn37K8OHDyc3N5cwzz+Tss89udjwXXHABJ598MldddRWHH374RsXwwQcfcP7555OVlUVubi5/+ctfNnl+2soas2PCjmYntzSwu9+92SNqRXFxsc+aNSvdkxXZYnz00UetVn9s6SoqKujUqROVlZUceOCB3H777YwePTrTYbUbibYBM3vH3YtbG7bFK4VEB30z28Hdl290lCIim8lZZ53FvHnzqK6u5uSTT1ZC2IySffoo1tOA1oCIZEzsP7zJ5pXs00ex9KYtEZGt1KYkhb9u9ihERKRdSLr6yMz2Bwa5+y1m1gvo5MH7ikREZCuR7AvxLgd+RfBBHIBc4L5UBSUiIpmRbPXR0QSf41wL4O7LgM6pCkpEtmynnXYavXv3ZujQoa32+/HHH7PPPvuQn5+f8MV2kl7JJoWa8D1FwVvszDqmLiQRSafH313Kfle/yIAL/8l+V7/I4+/Gv+F+451yyin8+9//TqrfHj16MHXqVM4777w2T1faLtmk8JCZ3QZ0M7MzgefRDWeRLd7j7y7lokc/YOnqKhxYurqKix79oM2J4cADD2zyAjmAcePG8bOf/YyRI0cydOjQ6NXVvXv3Zq+99iI3N7dJ/4lewa0ridRL9t1H1wEzgEeA3YHL3P2mlocSkfbu2mc+oaq2vklZVW091z7zSUqmV1lZyZw5c7jllls47bTTWuz3+OOP56GHHoraH3rooTa9XE+S0+rTR2aWDTzv7gcDz6U+JBFJl2WrqzaqvK2mTJkCBFcS5eXlLb76OdEruGNfNy2p0WpScPd6M2sws67uXpaOoEQkPfp0K2RpggTQp1thSqZnZi22x2t8Bffy5ct1lZAmyf6fQgXwgZk9R/gEEugtqSJbuvMn7M5Fj37QpArrDaKLAAAUgUlEQVSpMDeb8yfsnpLpTZ8+nYMPPpjXXnuNrl27tvp20+OPP54zzzyTlStX8vLLL6ckJmkq2aTwaPgTka3IUaOC9/9f+8wnLFtdRZ9uhZw/YfeofFNNmTKFmTNnsnLlSvr168evf/1rAAoKChg1ahS1tbXccccdACxfvpzi4mLKy8vJysrihhtuYN68eXTp0mWDV3BL6rX46uz2SK/OFmlZe3119rhx47juuusoLm717c3SRil7dXbMyAYBvweGAAWN5e4+cONCFRGR9izZ6qM7gcuB64GDCb7PvCkv0xORbdTMmTMzHYIkIdkDe6G7v0BQ3fSlu18BbNz35kREpN1L9kphnZllAfPN7GxgKdApdWGJiEgmJHul8DOgA3AOMAY4CWjx+80iIrLlafFKwczudfcfAPu6+9sE/69waloiExGRtGvtSmGMmfUBTjOz7mbWI/aXjgBFZMu0ZMkSJk2axKBBgxg4cCBnn302ZWVl9OzZk/Ly8ib9HnXUUUyfPj1DkUqs1pLCrcALwB7AO3E//bOAyNbg/Yfg+qFwRbfg7/sPtT5MK9ydyZMnc9RRRzF//nzmz59PVVUVl112GRMmTOCxxx6L+i0rK+O1117jyCOPbPN0pe1aTAruPtXdBwN3uPtAdx8Q89P/KIhs6d5/CJ48B8oWAx78ffKcNieGF198kYKCAk49Nahtzs7O5vrrr+eee+5hypQpTJs2Ler3scceY8KECXTo0KFN05TNo8WkEFNNdHF81ZGqj0S2Ai9cCbVxL8SrrQrK22Du3LmMGTOmSVmXLl0oKipi++23Z/bs2ZSWlgIwbdq06O2pknmtPZL6DuHX1oD41xk6oKsFkS1Z2ZKNK98M8vLymDhxIjNmzOCYY47h3XffZcKECSmbnmycFpOCuw9IVyAikgFd+4VVRwnK22DIkCHMmDGjSVl5eTnLly9n9913Z8qUKfzmN7/B3Zk0adIGX12TzGmt+mh0S7/WRm5mh5rZJ2b2mZld2EJ/x5iZm5nelCWSTuMvg9y4byfkFgblbRnt+PFUVlZyzz33AFBfX8+5557L2WefTWFhIePGjWP+/PncfPPNqjpqZ1p7+uiPLfxa/Fhq+MW2m4HvErxIb4qZDUnQX2eCf47778YGLyJtNPx7cORU6NofsODvkVOD8jYwMx577DFmzJjBoEGD6NmzJ1lZWVx88cUAZGVlceyxx1JaWspBBx20GWZENpeUvTrbzPYBrnD3CWH7RQDu/vu4/m4g+Mzn+cB57t7io656dbZIy9rjq7PfeOMNpkyZwmOPPcbo0a1WMkgbteXV2Um95sLMOpjZJWZ2e9g+yMyOaGWwvkBsZeWSsCx2vKOB/u7+z1amf5aZzTKzWSUlJcmELCLtyL777suXX36phLAFSPbdR3cCNcC+YftS4Kq2TDh8wd6fgHNb69fdb3f3Yncv7tWrV1smKyIiLUg2Kezi7tcAtQDuXsmGj6jGWwr0j2nvF5Y16gwMBWaa2ULgW8ATutks0nZb2hcVZfNp67pPNinUmFkh4f8smNkuwLpWhnkbGGRmA8wsDzgBeKKxo7uXuft27l7k7kXAm8DE1u4piEjLCgoKKC0tVWLYBrk7paWlFBQUtN5zM5L9nsLlwL+B/mZ2P7AfcEorwdWF3154BsgmeFXGXDO7Epjl7k+0NLyIbJp+/fqxZMkSdP9t21RQUEC/fpv+fyZJPX1kZvcB7wNVwALgv+6+cpOn2gZ6+khEZOMl+/RRslcKfwcOAL4D7AK8a2avuPuNbYhRRETamaSSgru/ZGavAHsBBwM/AvYElBRERLYiSSUFM3sB6Aj8B3gV2MvdV6QyMBERSb9knz56n+D/FIYCw4Gh4dNIIiKyFUm2+ugXEL2n6BSCf2bbAchPWWQiIpJ2yVYfnU1wo3kMsBC4g6AaSUREtiLJPn1UQPBKinfcvS6F8YiISAYlW33U4muyRURk65DsjWYREdkGKCmIiEhESUFERCJKCiIiElFSEBGRiJKCiIhElBRERCSipCAiIhElBRERiSgpiIhIRElBREQiSgoiIhJRUhARkYiSgoiIRJQUREQkoqQgIiIRJQUREYkoKYiISERJQUREIkoKIiISUVIQEZGIkoKIiERSmhTM7FAz+8TMPjOzCxN0/6WZzTOz983sBTPbOZXxiIhIy1KWFMwsG7gZ+C4wBJhiZkPiensXKHb34cAM4JpUxSMiIq1L5ZXCWOAzd1/g7jXANGBSbA/u/pK7V4atbwL9UhiPiIi0IpVJoS+wOKZ9SVjWnNOBfyXqYGZnmdksM5tVUlKyGUMUEZFY7eJGs5mdBBQD1ybq7u63u3uxuxf36tUrvcGJiGxDclI47qVA/5j2fmFZE2Z2CHAxcJC7r0thPCIi0opUXim8DQwyswFmlgecADwR24OZjQJuAya6+4oUxiIiIklIWVJw9zrgbOAZ4CPgIXefa2ZXmtnEsLdrgU7Aw2Y2x8yeaGZ0IiKSBqmsPsLdnwaejiu7LKb5kFROX0RENk67uNEsIiLtg5KCiIhElBRERCSipCAiIhElBRERiSgpiIhIRElBREQiSgoiIhJRUhARkYiSgoiIRJQUREQkoqQgIiIRJQUREYkoKYiISERJQUREIkoKIiISUVIQEZGIkoKIiESUFEREJKKkICIiESUFERGJKCmIiEhESUFERCJKCiIiElFSEBGRiJKCiIhElBRERCSipCAiIhElBRERiSgpiIhIJCeVIzezQ4EbgWzgb+5+dVz3fOAeYAxQChzv7gtTGRMANZVQsxbqayCnALwecMjOh8JuKZ/8BqrKoK4asrKgY6/0Tz9eZSk01EFWHnTontlY3GFtSfA3twMUdM5sPPV1wfIxIL8L5BZmNp7aaqguC+Ip7AHZuZmNZ11FsG+ZBduyWWbjqfom2M+zcqBDz8zGArB2JTTUQ04rx5r6eqgqBTzt21nKrhTMLBu4GfguMASYYmZD4no7HfjG3XcFrgf+kKp4ImtXwoq58Nof4fGfQMlHcP+x8KfBMONUKF+W8hCaWLMcHvtfuH4w3D0RvnoP6mvTG0Mjdyj9HO4/Dv64Bzx0EqxelJlYIDjgLX4T7vwu3LAnPPUzqFiRuXiqy+DDGXDbATB1NLx8DawtzVw8laXw6nXw5zHwl/3g/WlQtTpz8VSUwFO/DNbVHRPgy9ehtipz8ZQtgYd+GGzL9x0LKz+FhobMxFJfD19/CPceFezrj54J5V8l7re6HD56PNjObhwJL/42rdtZKquPxgKfufsCd68BpgGT4vqZBNwdNs8Axpul8NSivg6+eAWWzII3/wL7nQMzTgsOxA318PmL8PiPg7OLdKguh3+eB5/+K5j+inlwz6RgZ8+EtSVBglz6DngDLHwNHjo5SKSZUPUN3HMUlH4WJMoPH4GZVwdXeplQvixI4BVfQ00FvPYn+Oy5zMQCsOBleOVaWLcmWHf/ODs4EGZCbXWwPD6YHqyrVQvg3qPTty/FqywNTvK+eCXYlpfNhnsnQ2VJhuIpCU76ln8Q7Ovzn4UnfxacaMSr+Do4Lq1ZDrWV8J+b4OOngpO2NEhlUugLLI5pXxKWJezH3euAMiB113jryoMzzQUvBe05+cEKiLVgJtStS1kITdRWwucvNC2r+iZIFplQWxXszLGWzYb6NC2PeGWLg2q1WPOfCQ6CmfD5SxuWzX00qC5Jt9qqYNrx5j+b/lgA1pXBp/9uWlZfA6s+z0w8dTWw+K2mZWWLM3dCsa5iw5O9z58Pkmm8L17ZsGze42nb7reIG81mdpaZzTKzWSUlbcj0uR2CurneYS2WZW1YV9drj6A8HbJyoffgpmXZuZDfKT3Tj5eTDwVx9Zxd+wX1sZnQeYcNy3rvCbkF6Y8FYMcRG5b1LQ7uS6Vbdh70G7theZ/R6Y8FIKcwWDfxuvRPfywAWdnQfUDTsvwumdt28joE+1es3nsGccbbYdiGZX1Hp+2+QiqPfkuB2C2iX1iWsB8zywG6EtxwbsLdb3f3Yncv7tWrDTdicwtg0HdgyMRgIc++Gw79w/qdukMPmPxX6NR706exMTr2hEm3rJ9edh4ccSMUdE3P9OMV9oBj/gZ5HYP2gq5wzB3QIUM3vwu6wv9ctT4pde0Ph12TueXTa3cYMWV9e9/RMObkxDt2qmVlw4gTmiaGocfCDkPTHwtAQRc49HfQbef18Y2/DAoz9KBCx15w7N/Xn+TkdoDJtwfbeCYUdIWJf16fGDpuB0ffGvyN12MXGH3y+vYdR8DYs9L2EIF5iuqpwoP8p8B4goP/28D33X1uTD8/BYa5+4/M7ARgsrt/r6XxFhcX+6xZs9oW3NqVweV3fe36lVRXBXmdgycUstN4ZtxQH8RTswZyOwY7V+NBORPqqoOblTUVkNcpXB4ZfKJl3ZrgV1sVXEF17J3ZJ1qqVgfxeH2wfBLt1Om0dmX4tE9WuL4y/LRYxYqgqiS3API7B79Mqa8NqmxqKoJ9qqB75q4UIKi6qi6D2rWtH2sa98GGus22nZnZO+5e3Gp/qUoKYRCHATcQPJJ6h7v/1syuBGa5+xNmVgDcC4wCVgEnuPuC5se4mZKCiMg2JtmkkNJTYnd/Gng6ruyymOZq4LhUxiAiIsnbIm40i4hIeigpiIhIRElBREQiSgoiIhJRUhARkUhKH0lNBTMrAb7cTKPbDsjQi33aPS2blmn5tEzLp3mZWjY7u3ur/4m6xSWFzcnMZiXz3O62SMumZVo+LdPyaV57XzaqPhIRkYiSgoiIRLb1pHB7pgNox7RsWqbl0zItn+a162WzTd9TEBGRprb1KwUREYmhpCAiIpGtMimY2aFm9omZfWZmFybonm9m08Pu/zWzophuF4Xln5jZhHTGnS6bunzM7Dtm9o6ZfRD+/Xa6Y0+Htmw/YfedzKzCzM5LV8zp0sZ9a7iZ/cfM5obbUAY/bpAabdi3cs3s7nC5fGRmF6U79oi7b1U/gm83fA4MBPKA94Ahcf38BLg1bD4BmB42Dwn7zwcGhOPJzvQ8taPlMwroEzYPBZZmen7a0/KJ6T4DeBg4L9Pz016WDcFr+t8HRoTtPbVvNVk+3wemhc0dgIVAUSbmY2u8UhgLfObuC9y9BpgGTIrrZxJwd9g8AxhvZhaWT3P3de7+BfBZOL6tySYvH3d/192XheVzgUIzi/vw7BavLdsPZnYU8AXB8tnatGXZ/A/wvru/B+Dupe5en6a406Uty8eBjuEXKwuBGqA8PWE3tTUmhb7A4pj2JWFZwn7cvQ4oIzhzSWbYLV1blk+sY4DZ7r4uRXFmyiYvHzPrBPwK+HUa4syEtmw7uwFuZs+Y2WwzuyAN8aZbW5bPDGAt8BWwCLjO3VelOuBE0vgxYtlamNmewB8Izv5kvSuA6929wjL5Hen2KQfYH9gLqAReCD8P+UJmw2o3xgL1QB+gO/CqmT3vrXyeOBW2xiuFpUD/mPZ+YVnCfsLLta5AaZLDbunasnwws37AY8AP3f3zlEebfm1ZPnsD15jZQuDnwP+Z2dmpDjiN2rJslgCvuPtKd68k+Ezv6JRHnF5tWT7fB/7t7rXuvgJ4HcjI+5G2xqTwNjDIzAaYWR7BzZwn4vp5Ajg5bD4WeNGDOzxPACeETwgMAAYBb6Up7nTZ5OVjZt2AfwIXuvvraYs4vTZ5+bj7Ae5e5O5FwA3A79z9z+kKPA3asm89Awwzsw7hwfAgYF6a4k6XtiyfRcC3AcysI/At4OO0RB0v03fsU/EDDgM+JXgS4OKw7EpgYthcQPB0yGcEB/2BMcNeHA73CfDdTM9Le1o+wCUE9Z5zYn69Mz0/7WX5xI3jCrayp4/aumyAkwhuwH8IXJPpeWlPywfoFJbPJUiW52dqHvSaCxERiWyN1UciIrKJlBRERCSipCAiIhElBRERiSgpiIhIRElBtmlm9nT4/xfthpk9aGbvm9kvMh2LbHv0SKpsk8KXkJm7N2Q6llhmtgPwmrvvmulYZNukKwXZopnZ1Wb205j2K8zsEjN7IXzx2gdmNinsVhS+6/4egn+g6m9mC81su7D74+F3Iuaa2Vkx46wws9+a2Xtm9qaZbR+Wb29mj4Xl75nZvmH5SWb2lpnNMbPbzCw7QdwFZnZnGN+7ZnZw2OlZoG847AFxwxSZ2cdmdn/4zv0ZZtYh7LbQzK4Jx/eWmSmpyCZRUpAt3XTgezHt3yN4NfHR7j4aOBj4Y+OrrQleXXKLu+/p7l/Gjes0dx9D8M6Zc8ys8c2wHYE33X0E8ApwZlg+FXg5LB8NzDWzwcDxwH7uPpLgJWcnJoj7p4C7+zBgCnC3BR+dmQh87u4j3f3VBMPtHsY/mODVyj+J6VYWju/PBK/ZENloSgqyRXP3d4HeZtbHzEYA3wDLgd+Z2fvA8wSvK94+HORLd3+zmdGdY2bvAW8SvLRsUFheAzwVNr8DFIXN3wb+EsZR7+5lwHhgDPC2mc0J2wcmmNb+wH3hsB8DXxK8Xro1i339e6fuC8fT6MGYv/skMS6RDejV2bI1eJjg5WI7EFw5nAj0Asa4e2341tLGTz+uTTQCMxsHHALs4+6VZjYzZphaX3/zrZ6W9xsD7nb3Jp9TNLOjgcvD1jOSmSkz6w88GbbeCvyb4GMssTyJZpGk6UpBtgbTCd5IeSxBgugKrAgTwsHAzkmMoyvwTZgQ9iB4S2VrXgB+DGBm2WbWNSw71sx6h+U9zGxnd38srBIa6e6zgFcJq5XMbDdgJ4KXMEbcfXHMMLeGxTuZWeNVwPeB12IGOT7m73+SiF9kA0oKssVz97lAZ4JvRn8F3A8Um9kHwA9J7hXE/wZyzOwj4GqCKqTW/Aw4OJzOOwTf451H8DbZZ8Pqq+eAHRMMewuQFQ47HTjFk/uK3SfAT8M4uxNWX4W6h9P8GaDHWWWT6JFUkS2EmRUBT7n70ATdFgLF7r4yzWHJVkZXCiIiEtGVgoiIRHSlICIiESUFERGJKCmIiEhESUFERCJKCiIiEvn/bNb906THChEAAAAASUVORK5CYII=\n",
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+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "for n_voters in df8['number-of-voters'].unique():\n",
+ " ax = sns.scatterplot(x=\"variance-of-pp\", y=\"wellfare-loss\",\n",
+ " hue=\"voting-mechanism\",\n",
+ " data = df8[df8[\"number-of-voters\"] == n_voters])\n",
+ " ax.set_title('wellfare loss vs perceived pivotality, n_voters={}'.format(n_voters))\n",
+ " plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "# Wellfare Loss Prop8 Calibration, MP divided by various amounts"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "## The Data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 77,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": [
+ "df8 = pd.read_csv('2020.02.22-single-issue-QV-prop8-divide-mpp.csv')\n",
+ "cols_to_drop = ['minority-fraction', 'majority-mean-utility', 'majority-utility-stdev', 'minority-mean-utility',\n",
+ " 'minority-utility-stdev', 'limit-votes?', 'payoff-include-votes-cost?']\n",
+ "df8.drop(columns=cols_to_drop, inplace=True)\n",
+ "df8.rename(columns={'variance-of-perceived-pivotality': 'variance-of-pp'}, inplace=True)\n",
+ "df8['wellfare-loss'] = 1 - df8['mean payoff-sign-list']\n",
+ "df8_1p1v = df8[(df8['voting-mechanism'] == \"1p1v\")].copy().reset_index()\n",
+ "df8_QV = df8[(df8['voting-mechanism'] == \"QV\")].copy().reset_index()\n",
+ "df8_QV['mpp-str'] = df8_QV['mpp-divided'].apply(lambda x: \"=\" + str(x))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "## Wellfare loss of QV vs number of voters\n",
+ "\n",
+ "There doesn't seem to be any difference in WL depending on if perceived marginal pivotality is divided by 10, 100 or not."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 78,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": [
+ "def WL_vs_num_voters(pdf, title):\n",
+ " f, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 5))\n",
+ " sns.scatterplot(x=\"number-of-voters\", y=\"wellfare-loss\",\n",
+ "# hue='variance-of-pp',\n",
+ " hue=\"mpp-str\",\n",
+ " data=pdf, ax=ax1)\n",
+ "\n",
+ " sns.scatterplot(x=\"number-of-voters\", y=\"wellfare-loss\",\n",
+ "# hue='variance-of-pp',\n",
+ " hue=\"mpp-str\",\n",
+ " data=pdf, ax=ax2)\n",
+ " ax2.set(xscale=\"log\", xlabel = \"number-of-voters (log scale)\")\n",
+ "\n",
+ " plt.setp(ax1.get_legend().get_texts(), fontsize='10') # for legend text\n",
+ " plt.setp(ax1.get_legend().get_title(), fontsize='10') # for legend title\n",
+ " plt.setp(ax2.get_legend().get_texts(), fontsize='10') # for legend text\n",
+ " plt.setp(ax2.get_legend().get_title(), fontsize='10') # for legend title\n",
+ "\n",
+ " f.suptitle(title, y=1)\n",
+ "\n",
+ " f.tight_layout()\n",
+ " plt.show()\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 79,
+ "metadata": {
+ "hidden": true,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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+ "output_type": "display_data"
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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cQ+h2eQzhHl4nE11bkFwp2vduAW6JRvg6mNC4PJlwhuDgNNaVTWnFTdiuPYlXY9vXo6H7eux+l4Vtuo7QaKhr8JF7CPvFSYQzkScnlSf7HuFAw8nuXm0bRp+p2s6+1faZivMtwvv6sbv/MnmCmf2Z7d+HEmfYdmPbmac4if/j/e5+Yh31AHD3qYSDEnUtK+3Pdx3r6V1fHerfl+MaIz2peUawRn0zG0D9B4ySLXH3O5NeLwb2r+UM/J5JdeqTqLNn6gQzM0LD6APfdm+kUYSc9brF36/2D2b2B+AKd/95yrTEZyd2kCWRlkij4UlrcifhiOrZZtYtrkKUGH6YVL+aKFncS/iRcywNvLdS1PhZQPixcgihj/3/RZOfJjTWziVc/Dw7ZfZE97/aRstqDP0J3UVmec17y4xrwPIa8z3Mj55r3BckOms4hnCGoMbZRQ/3qnnS3b8L3Eg4w1jj/bl7ubu/4O4/Igz8UUT6o6ndQ/jB+81oP5xE6M73YW0zuPsqd3/Q3adE7+8gM8vmEep0pBv3fKCzmY2KWcbBSXUSqqLnuLNcjbafNGSbRo2tN4ABVvv9a2YQBmg4OTrz/HXCmbYXUurtET0/klwY7aP7ZvRmalfbOoxwUGB7vRw9H1FPvTcJ22R0HdstXQ3+fDfQgGgkzFSJYdH/GzMt7p5EcfUHEM6gpftIbVg9Ez3Hbf+jUurUpa7ljCXku+TlzCSM8pf6SHQ1fCl6HdcVd1D0XGcXSZGWRI0laTXc/W1C/+ruwIzobMlW0dmC6whnez4g9MmOk2gY/Q/hDufvEdN/Pg2zo1jOBF70cE8LCI2mUsJoX4l6yW4ndNe52sK9o6oxsy7RcNjZlOiWMtaSDiWa2V5sa1xm4mHgQ+CSuCGSzay4jmF56xRdb/AMMMrMTkqZfCnhqO99ie1tZmNrGcY2sX9sjurtG53tq7NemvE9R/hh8h3CEdrUrmxYzL1nzKyY0CWmkm2NjCaRbtxsO8hwdfIP42i457MIR9ZnJNVPnDXtE7OsrO7rWdqmzwEdCNft1RB1UXwomv4DwgGPe2POUic+U1sb49Fn62pqP5uRqRrriHyP9K8bq8udhO5Ul5hZte1hwa4QrpEj3PR0D1L2i6T6X4jO7NYp0893FhQQBuhIjnUS4SDXfHeP+9F/uZl1TKrfi3AGejNJt1lw91nubhk8Uu+NdRthn708+bvJzEYShlV/h5TGkpkNTv0sRdfNvghMNLMjkuoWEm44C+GMbKL+de5+VuqD0FUSwhnEs9w97p6DXwCW1nVwSKSlUTc8aW0uBboSzggtNrPHCEd9uxGOxPUl/Jg7xt3Xxi3A3V+zcCPIxH2Rbo/5IZSO2YTua9XOHrl7eXTd0qHUvF4Jd//Uwg0O7yd0g/gnoRtFR8IZoAmEpJXOvX/S4u4rzOwhwgX9L5vZ04SuN1MIRxm/muHyyizcvPNfwItm9gSwiPCd049wBmIO4d46DXE+4SjnXRbu3/IO4W70RxD+35cm1b0UmBBdo7SUcB3WFwhHh18ljHoF4aju2Wb2HKGBvJFw/cWRhB+lD2QQ3z2ELpaXE66NezCmzgwzW0doPL9PuE7mKML/+PrUQRuaSDpx30m4v85kYH60f3Yl3OS5CDjTk26gSdi+3wduNrN/EIYift/d72qEfT0b23QG4YfvRMLZ4Tj3EPaXqUmvU91E+B6abmb3E753xkexzKbmAAcNcRdh/74+GjRhOeH6yAMINwidvD0Ld/ePLdxk927gFTN7mDDMe0/CfvJPQsMMwmhwowkHgaZEn6M1hOup9iOccdiV9K5lyeTzvb3mE+6v9yKh4dGHcM1iKfH7XRXhGq7Xo+/MIsLZxe7AhZ5yM/Tt4e5vmtnPCPvZf81sOuE6wm8QDnaf7e5bDwBEZzrfjGJM/X13HmGbPhrtjysJBwOHE663ixu0IiPRwbU+hEFQRFoPbwZD8umhR7YfhKT6D0JSq2Db0Kz/BnZNY/7vRvWrgN4NjCFxvyWn5j2KLqeW4XGT6gwlDIn7IeEH/meEH/e/AgYn1etHFoYOJ1yIfi3hR+ZmYCHhwvv+tSx/GbUMa5tUpy9hOOn3CD++1xK6Z1wH7J/mdoxdD6GLy51sG4jig2hdPVPqTSL84H6b0ABaT/gR/GOq3w/oC4QfuG8QrtXYRPjh8ZvUZaYRc9doGzrwj1rqnE/oPrUsqruK8GPmFMDSXI8TbhiZ9nbb3rijeoWEH6wLo/rrCI3qg2upfwnhB295XMwZ7OsTqGP47CxtUyM02F6to04+4bvFqWN4dsL1ky9G+91qwnfSnsQMdc22ocNPr2VZse8d2IcwcuPaaN+eSbjebiopw0XXtf2o+7th/yj2VYTP8YfR63Ep9QoIZyVfIlxTVEpoXD1MaFwW1LatGvr5jurW2J5pLD8xdPgswnfcP6JtuIlwzWuN76doX6oknHn8A6FxWkboendyJp+1DD+XpxBGpkvcx+xxYL863lNlLcsZTDgAsjr6fLwe/b/y0oyjzqHDCTcDdpI+s3ro0Roe5t6QA+YiLYuZ7UfoXvMRoeFS2whIItLGmdl3CD/M93P3V3Mdj2RfdBamAnjSa3Z/q22e54ED3F29clJE23Mx8Ja7H1VffZGWRNcsSZvg7q8QjtwOBGbm4OJ5EWk5bgbeJXQtE5H6nULoSZDNLpIizYKOjkib4e4PREe/9iKMAJTtIa1FpBVw9wozO51wQXyx1xwhUkSqc+AsD7dfEGlV1A1PRERE2hR1wxORdKmxJCIiIiIiEkPXLImIiIiIiMTQqeQY3bt39379+uU6DBGRFumVV175zN175DqO1k65SkSk4dLNVWosxejXrx/z5s3LdRgiIi2Smb2f6xjaAuUqEZGGSzdXqRueiIiIiIhIDDWWREREREREYqixJCIiIiIiEkONJRERERERkRhqLImIiIiIiMRQY0lERERERCSGhg4XkRZnw4YNfPrpp1RUVOQ6lDalsLCQnj170rlz51yHIiLSIihfNb1s5yo1lkSkRdmwYQOffPIJvXr1ori4GDPLdUhtgrtTWlrK8uXLAdRgEhGph/JV02uMXKVueCLSonz66af06tWLDh06KPE0ITOjQ4cO9OrVi08//TTX4YiINHvKV02vMXKVGksi0qJUVFRQXFyc6zDarOLiYnUnERFJg/JV7mQzV6kbXpasLl3NotWLWFe2jjG7jKFb+24U5GvzijQGHaHLHW37lm192Xo+KfmEBasWMKL7CHbpuAtdirrkOiyRVkvfmbmRze2uX/NZsLp0NWc/cTaL1y0GoLigmGlfnsbunXfPcWQiIiLB5srNPLT4IX73yu+2ll24z4V8c+g3KS7Q0W8RkTjqhpcFb65+c2tDCaC0spS/zP8Lmys35zAqERGRbTaUb+DG/95YreymBTexsXxjjiISEWn+1FjKgnXl62LLKrdU5iAaERGRmty9xkG8sqoy3D1HEYmINH9qLGXB/jvvT4eCDtXKTht6Gju02yFHEYmIiFRXXFDMYX0Pq1Y2ofcE2he0z1FEIiLNn65ZyoJu7bsx7cvT+MuCv7Bu8zpOG3YaQ7sNzXVYIiIiW3Uu6swVB1zBiB4jeGH5Cxyw6wF8Zc+vaIAHEZE6qLGUBQX5BfTt3JcrD7iSqi1VdGzXMdchiYjUad26ddx77718+9vfznUo0oR2Kt6JU4eeyvF7Hk9xYTEFefoZICLNW67zlbrhZVH7gvZqKIlIi7Bu3TpuvPHG2GmVlbresjUryCugU1EnNZREpEXIdb5SY0lEJIeWLVvG4MGDOf3009lrr704+eSTmTVrFuPGjWPPPfdk7ty5TJ06lVNOOYWxY8ey5557cssttwAwe/ZsDjroICZPnsygQYM477zz2LJlS411LFy4kDFjxjBq1ChGjhzJ4sWLueyyy3jvvfcYNWoUl1xyCbNnz2b8+PFMmTKFoUPVjVhERKprs/nK3fVIeey3334uIs3TokWLch1CVi1dutTz8/N9wYIFXlVV5fvuu6+fccYZvmXLFn/44Yf9mGOO8Z/85Cc+cuRILykp8VWrVnnv3r19+fLl/vTTT3tRUZG/9957XllZ6RMnTvRp06bVWMcFF1zgd999t7u7l5WVeUlJiS9dutSHDRu2tc7TTz/tHTp08CVLltQbc33/A2CeN4Pv8tb+UK4Sad6Ur3Kbr7KVq3RmSUQkx/r378+IESPIy8tj2LBhHHbYYZgZI0aMYNmyZQAcc8wxFBcX0717dw455BDmzp0LwJgxYxgwYAD5+fl84xvf4Pnnn6+x/LFjx/LLX/6SX//617z//vsUF8ffgHTMmDH079+/0d6niIi0bG0xX6mxJCKSY0VFRVv/zsvL2/o6Ly9va39sM6s2T+J1XPlDDz3EqFGjGDVqFPPmzeOkk07ikUceobi4mKOPPpqnnnoqNo6OHXXNpYiI1K4t5is1lkREWoAZM2awefNmVq9ezezZs9l///0BmDt3LkuXLmXLli3cf//9HHjggRx33HHMnz+f+fPnM3r0aJYsWcKAAQO48MILOeaYY1iwYAGdOnVi48aNOX5XIiLS2rS2fKXGkohICzBy5EgOOeQQDjjgAK644gp22203APbff38uuOAChgwZQv/+/TnuuONqzPvAAw8wfPhwRo0axRtvvMGpp55Kt27dGDduHMOHD+eSSy5p6rcjIiKtVGvLVxaub5Jko0eP9nnz5uU6DBGJ8eabbzJkyJBch9Gkpk6dyg477MD3v//9auWzZ8/mmmuu4bHHHmvSeOr7H5jZK+4+uglDapOUq0SaN+WrbXKRr7KVq3RmSUREREREJIbuSCci0sxNnTo1tnzChAlMmDChSWMRERGpTWvMVzqzJCIiIiIiEkONJRERERERkRhqLImIiIiIiMRQY0lERERERCSGGksiIiIiIiIxNBpelny2sYy3P9nIupJy9tt9J7rv0I6CfLVFRUSk+VhfUsGqz8tY8NE6hvfqws6diujSoV2uwxIRabbUWMqCzzaWceptc1m0cgMAnYoKePTCA+nXrWOOIxMREQk2V1Qy/bWP+Omji7aW/ejoIZxywO4Ut8vPYWQiIs1Xk5/6MLM+Zvagma03sw1mNt3M+qY57y/N7AkzW21mbman11H3bDN7y8zKzOxtMzsva28ixaKVG1i0cgPnjd2ZF749mCdP70Xx5lWUl5c31ipFRKSRtbZ8tb60kt/OfLta2e//8zYbNlc0xupajorNsHElfPYObPwYKspyHZGINCNN2lgysw7AU8Bg4DTgFGBP4GkzS+c0zHeBYuCxetZzNnAT8A/gSGAacKOZnd/w6Gu3+vMyzj1gZ77T43V63fEFet4xjp3vOYSCNe80xupERKSRtcZ85e6UlFdVK9tcsYUt7tleVctRVQHLnoM/7QPX7w/X7QsfzYWqqvrnFZE2oam74Z0NDAAGufu7AGa2AFgMnAv8vp75u7j7FjMbCJwaV8HMCoBfAHe5+4+j4qfNbDfgZ2Z2q7tn9TDaAXt045Ddquh0yyXhixegZA15M74N35wOHbtnc3UiItL4Wl2+Km5XwKlj+3JwrzwGdCti2dpyZr1fSXFhG+6CV7Iapp8NFaXhdfkmmH4WnPMsdNo5t7GJSLPQ1N3wpgAvJRIPgLsvBV4AjqlvZnffksY6xgI9gLtTyu8CugEHph1tmnoWltGFDdsaSgmr3oItOjol0tw9/Npyxv3qKfpf9jjjfvUUD7+2PNchATBt2jSGDRtGXl4e8+bNy3U4bU2ry1ddiguZOq6Yw+adS/879uOQ/zuLn40rYsfiwmyupmWpKofStdXLNn4MW9p410RplpprroLWna+aurE0DHgjpnwhMDSL6yBmPQuj52ytZ6v8kk+x0rXQoVv1CQOPgMLibK9ORLLo4deW88Ppr7N8XSkOLF9Xyg+nv94sktDw4cOZPn06Bx10UK5DaYtaX776fBV5930DPn49vP5kIXn3nQibVmV1NS1KQXvoMah62a6jQrlIM9KccxW07nzV1I2lnYC1MeVrgK5ZXAcx61mTMj173p8Dz/wajv/bti/ZwZPh6N9A+85ZX52IZM9vZ75NaUX1M8ClFVU1LoTPhSFDhjBo0KBG4F+8AAAgAElEQVT6K0pjaH35qqosDGJQbU1LoHJzVlfTouzQE056AHYfBwVF0P9g+Ppd6j4vzU5zzlXQuvOVhg6PmNk5wDkAffumNdjRNruOgkcvDKfyx5wDXfqE8o49shyliGTbinWlGZVn2/jx49m4cWON8muuuYaJEyc2SQzScmxXrsorhM69YEPSkegddob8Nn6fpa794Ot3hy55BUVQnK22sEj25DpXQdvNV03dWFpL/BG52o7gNXQdROtZmbIO2HbErhp3vxm4GWD06NGZDQ20Yx8Y9z2Ycx08ehH0HQsn3AH5bbgfuEgLsduOxSyPSTa77dg0XWife+65JlmPZKxZ5qvtylUdu8MJd8K9J4SBDTrsBCfcBR10YI8O2e90IpJNuc5V0HbzVVM3lhayrY92sqHAopjyhq6DaD3JySfR9ztb69mmw04w/vvwhXPBt0C7jjoyJdJCXDJpED+c/nq17g3FhflcMqlpuhO01SN1LUDry1d5+aEnxPkvhtHfCovDtbb5bXg0PJEWIte5CtpuvmrqxtIjwDVmNsDdlwCYWT9gHHBZltYxB/gMOBmYlVT+TcJRuheytJ7q2ndibVURK9eX8t6yTYzqU8ROHdvRsUg9HUWas2P36QWE/uAr1pWy247FXDJp0NbyxtZWj9S1AK0zX+UXQKddsr7Ylmx9aTmrNpazcMV6RvTqQvcdiujclkcIlGYp17kK2m6+aupf8rcAFwAzzOxywIGfAR8SbsoHgJntDrwHXOXuVyWVH0wYZjXxTT/azD4HcPcHo+cKM7uCcFO/5YQEdChwJvBddy9vjDe2vrScP/znHe586X0A8gz+etr+HLxXD/LyrDFWKSJZcuw+vZo04aTroYce4rvf/S6rVq1i8uTJjBo1ipkzZ+Y6rLai1eYr2aa0vIoH5n3ELx5/c2vZz48dzvH79aaoLd9/Spql5pqroHXnqyZtLLn7JjM7FPgD4T4SBjwJfM/dP0+qakA+NUfr+ylwcNLr70SPxDyJ9fzFzBz4X+AS4APgAne/MYtvp5pNZVVbG0oAWxyufOQNpp8/jh6dihprtSLSih133HEcd9xxuQ6jTWrN+Uq22bC5gmtSRhP71b/e4vChO7OzGksiaWvN+arJ+4i5+wfAV+ups4ykZJJUPiGD9dxE0tG/xlZeWfP+g2s+L8fJ7PpbERFpHlprvpJtqrY4ZSn5e1N5Ja7ULSKRpr7PUqvVsaiAPXp0rFZ2wv596FSkfs8iIiLNUXG7fMYNrH5D+cMG96RYZ5VEJKLRB7KkR6ci7jnrAG54+l0WrtjA0SN24bh9e1HcTl+4IiIizVHXDu249uv7cNvzS/i/pWs4cGB3Tv1iP7p00IFOEQnUWMqiXbq058eTh1BaXkXn9gXk5+vEnYiISHPWo1MRFx8+iM/LKulYVEC7AuVuEdlGjaUsa1+YT3udvhcREWkxCgvy6FrQLtdhiEgzpMMnIiIiIiIiMdRYEhERERERiaHGkoiIiIiISAw1lkRERERERGKosSQiIiIiIhJDo+FlUWllKRvLN1JaWUrHgo50bd+V/DyNjCciItJclVWVsaFsAyWVJXQo6MCORTtSmK/7LIlIoMZSlpRWlPLkB0/ykxd/QvmWcrq178atk25l4I4Dcx2aiIiIxKisqmT+p/O58KkLKaksYYfCHbjhsBvYu8feOtgpIoC64WXNxoqNXPnilZRvKQdg9ebVXP785azdvDbHkYlISzVt2jSGDRtGXl4e8+bNqzbt6quvZuDAgQwaNIiZM2fmKEKRlm1t2VoueeYSSipLAPi84nN+8OwPWLN5TY4jE2lZWnO+0pmlLCmpKKFiS0W1ssVrF1O5pTJHEYlI2hY8AE9eBes/gi694bArYeQJuY6K4cOHM336dM4999xq5YsWLeK+++5j4cKFrFixgokTJ/LOO++Qn68j4SKZKN9Sztqy6gc1Pyn5hCqvylFEInVoprkKWne+0pmlLOlY2JEuRV2qlY3rNY72Be1zFJGIpGXBA/DohbD+Q8DD86MXhvIcGzJkCIMGDapRPmPGDE488USKioro378/AwcOZO7cuTmIUKRlK8ovol/nftXKBnUdRLu8drkJSKQ2zThXQevOV2osZUnX9l259fBb2XPHPcmzPA7qfRCXH3A5ndp1ynVoIlKXJ6+CitLqZRWlobwJjB8/nlGjRtV4zJo1q9Z5li9fTp8+fba+7t27N8uXL2+KcEVale7F3bnhsBsY2X0khrFPz3249pBr2al4p1yHJlJdjnMVtN18pW54WVKQV8DgboO59YhbqfIqivKL6FzUOddhiUh91n+UWXmWPffcc02yHhGJ17dzX64/7HqqvIoCK2DH9jvmOiSRmnKcq6Dt5is1lrJMR6NEWpguvaNuDTHlTWD8+PFs3LixRvk111zDxIkTY+fp1asXH364LeaPPvqIXr16NVqMIq1d1/Zdcx2CSN1ynKug7eYrNZZEpG077MrQ7zu5e0NhcShvAg05UjdlyhROOukkLr74YlasWMHixYsZM2ZMI0QnIiLNQo5zFbTdfKVrlkSkbRt5Anz5T9ClD2Dh+ct/ahYjDD300EP07t2bOXPmMHnyZCZNmgTAsGHDOOGEExg6dChHHnkkN9xwQ4saWUhERDLUjHMVtO58Ze6e6xiandGjR3vqGPEi0jy8+eabDBkyJNdhtGn1/Q/M7BV3H92EIbVJylUizZvyVW5lK1fpzJKIiIiIiEgMNZZERERERERiqLEkIiIiIiISQ40lERERERGRGGosiYiIiIiIxFBjSUREREREJIYaSyIiIiIiIjHUWBIREREREYmhxpKIiIiIiEgMNZZERERERERiqLEkIiIiIiISo8kbS2bWx8weNLP1ZrbBzKabWd80521vZr81s5VmVmpmc8zsoJh63czsj2a2JKq31MyuN7Me2X9HIiLSGilfiYhIkzaWzKwD8BQwGDgNOAXYE3jazDqmsYi/AmcDVwJfAlYCM81sVNI6DHgEOAn4LXBU9Hwi8Gg0XUSk2Zs2bRrDhg0jLy+PefPmVZt29dVXM3DgQAYNGsTMmTO3lv/73/9m0KBBDBw4kF/96ldNHXKroXwlIpK+Vp2v3L3JHsBFQBUwMKmsP1AJXFzPvHsDDpyRVFYAvA08klS2V1TvnJT5z4vKB9UX53777eci0jwtWrQo68t87L3H/PBph/uIv43ww6cd7o+991jW19EQixYt8rfeessPPvhgf/nll7eWL1y40EeOHOmbN2/2JUuW+IABA7yystIrKyt9wIAB/t5773lZWZmPHDnSFy5c2Chx1QWY502YWxrj0RLylXKVSPOW7XzVXHOVe/PMV9nKVQXZbnzVYwrwkru/myhw96Vm9gJwDPD7euatAO5PmrfSzO4DLjOzIncvA9pFkzekzL8uetZ1WiKy1eNLHmfqi1PZXLUZgJWbVjL1xakATB4wOYeRwZAhQ2LLZ8yYwYknnkhRURH9+/dn4MCBzJ07F4CBAwcyYMAAAE488URmzJjB0KFDmyzmVkT5SkSajeacq6B156um/iIeBrwRU74QqG/rDAOWuntJzLztgIFJr58FrjCz0Wa2g5mNIXSF+Je7v9ng6EWk1fnjq3/cmnwSNldt5o+v/rFJ1j9+/HhGjRpV4zFr1qxa51m+fDl9+vTZ+rp3794sX7681nJpEOUrEWk2cp2roO3mq6Y+s7QTsDamfA3QdTvmTUzH3d3MjgbuAl5Oqvc4cHxG0YpIq/fxpo8zKs+25557rknWIxlTvhKRZiPXuQrabr5q6sZSU7kFOIDQ7/tNYAjwU+BBM/uyu29JncHMzgHOAejbN63BjkSkFdil4y6s3LQytrwpjB8/no0bN9Yov+aaa5g4cWLsPL169eLDDz/c+vqjjz6iV69eALWWS7OVUb5SrhJpm3Kdq6Dt5qumbiytJf6IXG1H4VLn3b2WeSE6Ymdmk4FvABPd/clo2rNmtgR4AvgyMCN1Ie5+M3AzwOjRo72eWESklbho34uq9QMHaJ/fnov2vahJ1t+QI3VTpkzhpJNO4uKLL2bFihUsXryYMWPG4O4sXryYpUuX0qtXL+677z7uvffeRoi6TWiW+Uq5SqRtynWugrabr5r6mqWFhL7cqYYCi9KYt380nGvqvOVA4iLcEdHzyyn15kbP8VegiUibNHnAZKZ+cSq7dtwVw9i1465M/eLUZnHB7EMPPUTv3r2ZM2cOkydPZtKkSQAMGzaME044gaFDh3LkkUdyww03kJ+fT0FBAddffz2TJk1iyJAhnHDCCQwbFveVK2lQvhKRZqM55ypo3fnKwsh5TbQys+8B1wB7ufuSqKwfsBi4zN1/V8e8+wCvAqe7+x1RWQHwOvCuu385KjsduB043N1nJc1/BDATONXd76orztGjR3vqGPEi0jy8+eabtY66I02jvv+Bmb3i7qObMKSsawn5SrlKpHlTvsqtbOWqpj6zdAuwDJhhZseY2RRCF4MPgZsSlcxsdzOrNLMrE2Xu/hphGNZrzewsMzsMuI9w34ufJK1jOrACuNPMzjezQ8zsfODOaD0PNeo7FBGR1kD5SkRE0m8smdkXzexLSa+7mdnfzex1M7vGzPLrW4a7bwIOBd4hjP5zD7AUONTdP09eHZAfE98ZhKNwPyeMFtQHONLdX01axwbCxbL/An6Q9PwoMDZlPSIi0opkI1eB8pWIiASZDPDwK+BJ4LHo9W+Bo4FZwPnAeuBn9S3E3T8AvlpPnWWEBJRaXgpcHD3qmv9D4Fv1xSIiIq1OVnIVKF+JiEhm3fCGAPMAzKwQ+BrwP+7+VeDHwEnZD69lKq8q57PSz/is9DOqtlTlOhwRkbZEuUpaDHdndelqPiv9jNLK0lyHIyIxMmks7QBsiP4eA3Rk25G7VwHd8AFYu3ktNy24iSkPTeHEx07kifefYGN5zTHpRaThmnJgGqmuBWx75SppEUoqSnhp5Uuc8q9TOHr60fxu3u9Ys3lN/TNKi9ICvjNbpWxu90waS8uBvaO/jwLecPdPo9ddgZKsRdWCvbjiRW5ecDMbKzbySckn/ODZH/Bpyaf1zygiaSksLKS0VEdgc6W0tJTCwsJch1EX5SppEdaVreP8Wefz4cYPKa0s5f637+fBdx6kcktlrkOTLFG+yp1s5qpMGkt/B35pZg8S+mDfnTRtX8Jwqm1aSUUJ/1z6zxrlL654MQfRiLROPXv2ZPny5ZSUlOiIXRNyd0pKSli+fDk9e/bMdTh1Ua6SFuGtNW9R5dW76s96fxYbyjfUMoe0NMpXTa8xclUmAzxMBTYTRu75FfD7pGl7A9OyElELVpRfxIjuI3j2o2erlQ/eaXCOIhJpfTp37gzAihUrqKioyHE0bUthYSE777zz1v9BMzUV5SppAXbvvHuNsr267kVxQXEOopHGoHyVG9nOVWk3lty9CvhFLdOOzUo0LVx+Xj5f2+trPPXBU7y55k0Aju53NHt02SPHkYm0Lp07d27uP9glR5SrpKXoXtyd04aexp2L7sRx+nbqywX7XKDGUiujfNXypd1YMrPuQIdoKNVE2bnAcGCmuz9W68xtSPfi7vx54p8pqSwh3/LpWNiRLkVdch2WiEiboFwlLUWXoi6cu/e5fHPoNymvKqdDYQe6F3fPdVgikiKTa5ZuAy5LvDCzK4A/E4ZhnWFmX89ybC1Wt8pK+qz5kN02fEqXyvJchyMi0pYoV0mL0aminF0+X03f1cvoXlkJVbrdiEhzk0ljaTThRn8J5wG/dPduwA3Uc+O9NmPDCrj5YLj9qPB874nwuUbDExFpIspV0jJs+gxmfAf+/EW448twwxdg3bJcRyUiKTJpLO0EfAJgZsOBXYA7omkPA4OyG1oLVFUBc26AjSu3lS2fBytey11MIiJti3KVtAzrl8M7/9r2evM6mDUVynRvRpHmJJPG0mqgd/T3ocAKd08MwVqY4bJap6oKWLOkZvnaZU0eiohIG6VcJS1D8oHVhPUfgbrvizQrmQwdPguYGl08+7+EI3QJg4H3sxlYi9SuA+z/LXg76V5Lefmw5xG5i0lEpG1RrpKWYdeRUNgBKpLuk7zvKVDcNXcxiUgNmRxh+wHwIXA18B7w06RpJwPPZzGulqvXfvCVW2HXvWH3L8IZ/4Ydds51VCIibYVylbQMHXvAWU/CHodCz6Fw1G9h6LGQp5OfIs1JJvdZ+gQ4vJbJEwk3AZTirjDia7DHIWD50EFHiEREmopylbQY+YWw81D42u2hG3+HnUJvFBFpVjLphgeAmRkwlHAR7RpgkbtvyHZgLZoZdNS9EkREckW5SlqM4h1zHYGI1CGjc71mdhawElgAzI6eV5jZt7IfmoiISOaUq0REJFvSPrNkZicDNxPuX3E38DFhSNaTgZvNrMTd/94oUYqIiKRBuUpERLIpk254PwDucfdTUsrvMLO7gEsBJSAREckl5SoREcmaTLrhDSIcpYtzN7rRn4iI5J5ylYiIZE0mjaWNbLvRX6re0XQREZFcUq4SEZGsyaSx9C/gl2Y2PrnQzMYCP4+mi4iI5JJylYiIZE2m1ywdAMw2s+WEkYZ2IRypezeaLiIikkvKVSIikjWZ3JT2YzMbBZwJjCfcu2IZ8AzwN3cvaZQIRURE0qRcJSIi2ZTRTWmjJHN99BAREWl2lKtERCRbMroprYiIiIiISFtR55klM1sKeJrLcnffY/tDEhERSZ9ylYiINJb6uuE9Q/oJSEREJBeUq0REpFHU2Vhy99ObKA4REZEGUa4SEZHG0uBrlsysr5llNECEiIhIU1KuEhGR7dGgxpKZ5QNLgZHZDUdERCQ7lKtERGR7bc9oeJa1KERERBqHcpWIiDTY9jSWGnQxrZn1MbMHzWy9mW0ws+lm1jfNedub2W/NbKWZlZrZHDM7qJa6vczsNjP72MzKzGypmV3dkJgzta6knBXrSvl4/WY+L6toilWKiEi8Bg/80BbyleRWaXkVn2zYzPK1JazZVJ7rcEQkxvb04874aJ2ZdQCeAsqA0whJ7OfA02Y20t031bOIvwKTgUuAJcB3gJlmNtbd5yetpx/wAqH7xYXAJ0A/YGCmMWfqs8/LuPTBBTz51qcU5BnfGt+f8w7ag64d2zX2qkVEpKYGnVlqC/lKcmt9aQX/eOUjfv3vtyir3MK+fbvyl2/uS8/O7XMdmogkaVBjyd2rzKw/sCLDWc8GBgCD3P1dADNbACwGzgV+X9uMZrY3cBJwprvfHpU9AywErgKmJFX/C7AcOMTdE6d2nskw1oxVbXEefm05T771KQCVW5ybnlnCkcN2UWNJRKSJbUeuglaeryT31mwq56rHFm19/eoHa7nx6Xe57OghtC/Mz2FkIpIs4254ZpZnZsMJR74ybQFMAV5KJB4Ad19KOKp2TBrzVgD3J81bCdwHTDKzoii+PYBJwHVJiadJlFVW8cK7q2uUv/L+2qYMQ0SkzdvOXAWtPF9J7r3zycYaZS+/v5ZNZZU5iEZEapNRY8nMvgN8DPyX0D1hUFT+sJldmMYihgFvxJQvBIamMe9Sdy+Jmbcd27osjIueS83sP1H/77VmdqeZdUsjxgYrLsznsCE9apQfMKBRVysiIkmykKuglecryb0hu3auUXbgwO50al+Yg2hEpDZpN5bM7Gzgj8DDwNep3g/8OeCraSxmJyDuNMsaoOt2zJuYDrBb9Hwb8A5wFHApoe/4TDPbnkEt6mRmHDV8V766X2/y84wO7fL54VGD6d21uLFWKSIiSbKUq6CV5yvJva4dCvn9CXvTubgAM5g4pCdnjx9AuwL920Wak0yuWboY+J27XxrduyLZW4SLWJuDxLfMbHf/TvT3U2a2nqgLBPCv1JnM7BzgHIC+fdMa7ChWtx2KmPrlofzgiEFg0KW4UH2PRUSaTkvJVdCAfJWtXCW516l9IV8auRsHDuzOFofiwjy6dND1zSLNTSaHL/oDM2uZtgnYMY1lrCX+iFxtR+HSnRe2HbFLXDT0n5R6T0TP+8Qt3N1vdvfR7j66R4+aXeky0al9ITt3ac/OnduroSQi0rSykaugmearbOYqyb12BXn07NyeXbq0V0NJpJnKpLH0GeFC2TiDCKP51GchoS93qqHAopjy1Hn7R8O5ps5bDrybVK8uW+oLUkREWqxs5CpQvhIRETJrLD0GXGlmA5LK3My6A/9D6B9en0eAA5KXEd1jYlw0rS6PAoXA8UnzFhD6pD/h7mVR8UuEC3snpcx/ZPT8chpxiohIy5SNXAXKVyIiQmaNpcsJN+d7A5hFuEHfn4A3gSrCvSPqcwuwDJhhZseY2RRgBvAhcFOikpntbmaVZnZloszdXyMMw3qtmZ1lZocR+nT3B36SVK8SuAyYbGZ/MbMjzOzbwI3AbMLISCIi0jplI1eB8pWIiJBBY8ndPwNGA1cTjpi9Rxgg4npgrLuvT2MZm4BDCaP+3AXcQ7hr+aHu/nlSVQPyY+I7A7idcBf1x4E+wJHu/mrKeu4ATgUOJBzhuwK4G/iyu3u671lERFqWbOSqaDnKVyIigqXzXRyNKDQcWOHuqxo9qhwbPXq0z5s3L9dhiIi0SGb2iruPzsF6latERCQt6eaqdM8sOTCPWkaSExERaQaUq0REJKvSaiy5+xZCP+2OjRuOiIhIwyhXiYhItmUywMNNwPfMTDcCEBGR5kq5SkREsqYgg7qdgD2AJWb2b2AloctDgrv7T2LnFBERaRrKVSIikjWZNJZ+lPT3mTHTnaQhUUVERHJAuUpERLIm7caSu2fSZU9ERKTJKVeJiEg2KamIiIiIiIjEUGNJREREREQkRkaNJTM7x8xeM7MSM6tKfTRWkCIiIulSrhIRkWxJu7FkZqcC1wEvA+2B24G7gQ3Ae8BVjRGgiIhIupSrREQkmzI5s/Q94Grg/Oj1je5+GjAAKAVWZzk2ERGRTClXiYhI1mTSWNoTeBbYEj3aAbj7WuAXwEVZj05ERCQzylUiIpI1mTSWSoE8d3fgY8JRuoTPgd2yGZiIiEgDKFeJiEjWZHJT2teBgcAs4DngR2a2FKgEpgJvZT06ERGRzChXiYhI1mTSWLqZbUforiAkouej1xuBY7MYl4iISEMoV4mISNak3Vhy9/uT/n7XzIYBY4EOwIvu/lkjxCciIpI25SoREcmmOq9ZMrM1ZrZv9PdtZtY/Mc3dN7n7LHd/RMlHRERyRblKREQaS30DPHQEiqK/Twd6NGo0IiIimVOuEhGRRlFfN7z3gbPNLJGE9jGz9rVVdvdnsxaZiIhIepSrRESkUdTXWPoVcBNwGuDAjbXUs2h6fvZCExERSYtylYiINIo6G0vufpuZ/QvYC3gauBB4sykCExERSYdylYiINJZ6R8Nz95XASjO7A3jc3Zc2flgiIiLpU64SEZHGkMnQ4Wc0ZiAiIiLbS7lKRESyqc7GkpldmcGy3N1/tp3xiIiIZES5SkREGkt9Z5amZrAsB5SARESkqU3NoK5ylYiIpK2+AR7quw+TiIhITilXiYhIY1GCERERERERiaHGkoiIiIiISIz6BnjYQujfnQ5397RH1xMREckG5SoREWks9SWMq0g/AYmIiOSCcpWIiDSK+gZ4mNpEcYiIiDSIcpWIiDSWBl2zZGY7mNnuZlbYgHn7mNmDZrbezDaY2XQz65vmvO3N7LdmttLMSs1sjpkdVM88J5qZm9lHmcYqIiIt1/bkqmh+5SsRkTYuo8aSmX3JzF4F1gNLgBFR+a1mdlIa83cAngIGA6cBpwB7Ak+bWcc0QvgrcDZwJfAlYCUw08xG1bK+HYFrgY/TWLaIiLQC25urorrKVyIikn5jycyOBWYAnwGXApY0eSkhmdTnbGAAcKy7P+zuM4ApwO7AufWsf2/gJOB/3P0Wd38SOAH4gNBfPc5vgP8CM9OITUREWrgs5SpQvhIRETI7s/QT4HZ3P4Jw9CvZG8DwNJYxBXjJ3d9NFLj7UuAF4Jg05q0A7k+atxK4D5hkZkXJlc1sHPBN4DtpxCUiIq1DNnIVKF+JiAiZNZaGsO2LP3XUobVAtzSWMYyQrFItBIamMe9Sdy+JmbcdMDBREPVPvxn4bXKiExGRVi8buQqUr0REhMwaSxuA7rVM6wesSmMZOxGSVao1QNftmDcxPeFSoAi4Oo2YRESk9chGrgLlKxERIbPG0n+AH0YXoSZ41J3gAuBfWY2sgcxsIPBj4AJ335zBfOeY2Twzm7dqVbq5VEREmpkWkaugYflKuUpEpGll0lj6MbAL8DZwK6F7w2XAfKA3MDWNZawl/ohcbUfh0p0Xth2x+xNhBKOXzGzHKGG2Ayx6XRy3cHe/2d1Hu/voHj161Pc+RESkecpGroJmmq+Uq0REmlbajSV3XwbsBzwGHA5UAQcBLwFfcPcVaSxmIaEvd6qhwKI05u0fDeeaOm858G7S66MJySrx+AawW/S3ujqIiLRSWcpVoHwlIiJAQboVzewo4Fl3/9Z2rO8R4BozG+DuS6Ll9gPGEY781eVR4KfA8cAd0bwFwNeBJ9y9LKp3ItA+Zd7LCMnzeEA3+xMRaaWylKtA+UpERMigsQQ8DlSY2SuEbgNPAS9mcl0QcAuhz/gMM7uc0D3iZ8CHwE2JSma2O/AecJW7XwXg7q+Z2f3AtdHoQUuB84H+wMmJed39pdSVmtnpQJm7z84gVhERaXmykatA+UpERMjsmqW9gAuB94GzgFnAWjN7xsx+YmYH1bcAd98EHAq8A9wF3ENIIoe6++dJVQ3Ij4nvDOB24OeEhNgHONLdX83gfYiISOu13bkKlK9ERCQw99TbUKQ5o9lQQiI5DpgAuLtncqaq2Ro9erTPmzcv12GIiLRIZvaKu4/OdRygXCUiIvHSzVUZJ4zogtXxwCHAYcA+hPtaPJPpskRERBqDcpWIiGRDJgM8XEU4Orc/YTSf59OYjfoAACAASURBVIEHgPOA19x9S6NEKCIikiblKhERyaZMzixdDpQQ7gvxG3fX3fBERKS5Ua4SEZGsyWSAh4uAJ4AzgZVm9oqZ/dbMjjKzHRonPBERkYwoV4mISNZkclPa69z9K0B3YAxhZKAhwN+BNWb2QuOEKCIikh7lKhERyaaMB3hwdzezN4DOQFe2JaQDshybiIhIgyhXiYhINmQywMMXCRfNHgKMBYqA1cBswh3Kn26E+ERERNKmXCUiItmUyZml54F1wLPAZcDT7v56o0QlIiLSMMpVIiKSNZk0lkYThl1t2F1sRUREGp9ylYiIZE3ajSV3f7UxAxEREdleylUiIpJNmQwdLiIiIiIi0maosSQiIiIiIhJDjSUREREREZEYaiyJiIiIiIjEUGNJREREREQkhhpLIiIiIiIiMdRYEhERERERiaHGkoiIiIiISAw1lkRERERERGKosSQiIiIiIhJDjSUREREREZEYaiyJiIiIiIjEUGNJREREREQkhhpLIiIiIiIiMdRYEhEREZH/b+/O4+Qo6v+Pv97JHtlNQu6AgJBgQOQQ1PwEBLnlEgEVPDgUFJBLQUQEQUEEvyogoKBcigd8EUU5v6jcCEKAABIIyhECghwJ5L43yef3R9WQyWT2SLI7szv7fj4e/Zjt6uruqq7Z6a7uqmozK8OVJTMzMzMzszJcWTIzMzMzMyvDlSUzMzMzM7MyXFkyMzMzMzMrw5UlMzMzMzOzMlxZMjMzMzMzK6PilSVJ75Z0vaSZkmZJ+rOk9Tq4bj9J50p6XdJ8SQ9J2r4kzkaSLpI0QdKcHPdmSVt0TY7MzKwW+XxlZmYVrSxJagbuBjYGvggcAmwI3COpfwc28UvgCOC7wN7A68DfJG1ZFGc3YCfgN8AngGOAEcA4SR/qpKyYmVkN8/nKzMwA6iq8vyOADYD3RsQLAJImAM8DXwF+0tqK+U7bgcCXIuKqHHYfMBE4C9gnR/09cElERNG6dwMvAccDX+jcLJmZWQ3y+crMzCreDG8fYFzhxAMQEZOBfwD7dmDdFuC6onUXk042u0tqzGFvFZ94cthM4Dlgnc7IhJmZ1Tyfr8zMrOKVpU2Bp8uETwQ26cC6kyNiXpl1G4Axra0oaSiwGfCvjifVzMx6MZ+vzMys4pWlocD0MuHTgCGrsW5heWt+Bgi4sL0EmpmZ4fOVmZnRC4YOl3Qqqe34ccXNKcrEO1LSeEnjp06dWrkEmpmZ0bHzlc9VZmaVVenK0nTK35Fr7S5cR9eFZXfs3iHpKOAHwOkR8au2Nh4Rl0fE2IgYO2LEiHaSYmZmNa5bnq98rjIzq6xKV5Ymktpyl9oEeKYD647Ow7mWrrsIWO4unKRDgJ8D50fEOauWXDMz66V8vjIzs4pXlm4Gtpa0QSFA0ihg27ysLbcA9cABRevWAZ8Fbo+IhUXhnwSuAq6MiJM6K/FmZtZr+HxlZmYVf8/SFcBxwE2STgcC+D7wCnBZIZKk9YFJwFkRcRZARDwh6TrgQkn1wGTgaGA0cFDRutsD1wJPAr+WtHXR/hdGxBNdmD8zM6sNPl+ZmVllK0sRMVfSzsAFwO9II/7cBZwQEXOKogroy4pPvg4DzgHOBgaTTjB7RMTjRXF2BhqBD5Leh1HsZWBUp2TGzMxqls9XZmYGoJL34RkwduzYGD9+fLWTYWbWI0l6LCLGVjsdtc7nKjOzVdfRc1XNDx1uZmZmZma2KlxZMjMzMzMzK8OVJTMzMzMzszJcWTIzMzMzMyvDlSUzMzMzM7MyXFkyMzMzMzMrw5UlMzMzMzOzMlxZMjMzMzMzK8OVJTMzMzMzszLqqp0AgyUtLSyd9zYiWFo/gIbmgdVOkpmZmVlVLVmyhKVzpubro2YamgdVO0nWC/nJUpUtmjuDpf+6hforPkrdTzenzx2nsXj21Gony8zMzKxqFs6dzdLn/kb9L3ei7qLN6PuXb7J49pRqJ8t6IVeWqqzP/Lep//NhMGcKLGmh7onfsPSJa1iyuKXaSTMzMzOrirqF06j/w0Ew6zVYupi+T11HjLuUxYsWVjtp1su4slRlS/7zyAphDc/fxuJ5M6uQGjMzM7PqW/z60xBLlwurf+FvLJk3o0opst7KlaUq67PmJiuEtbzrg/Rp7F+F1JiZmZlVX98RY1YIW7zWlqhxQBVSY72ZK0tVtnSNdWjZ6lhQLoq13k+fbY+nvrGpugkzMzMzq5KlTcNp2e5k6NM3BYzYGO10Kg1NvplsleXR8KqsceBwFn70myzZ5hhiSQtL65ppGLRmtZNlZmZmVjUNA4exaJtjWTz2i7Ckhahrpt7XR1YFrix1A40DhgBDqp0MMzMzs26jof9gYHC1k2G9nJvhmZmZmZmZleHKkpmZmZmZWRmuLJmZmZmZmZXhPkvdwJKlS5i+cDoA/ev601TvkfDMzMysd1saS5m2YBoATXVN9K/3SHhWeX6yVGVzWuZwzyv38NlbP8vu1+/O+Y+dz/QF06udLDMzM7Oqmd8ynwf/+yAH/t+B7Hb9bvzw4R++U3EyqyRXlqps+vzpnHjviUyZN4VFSxdx3bPXcfOkm1mydEm1k2ZmZmZWFTMWzuDYu4/l9bmv07K0hRsn3ci1/7qWlqUt1U6a9TKuLFXZk1OfJIjlwu58+U7mtMypUorMzMzMquvZ6c+yNJYuF3b3K3cze+HsKqXIeitXlqpszJAxK4RtPnxz+vXtV4XUmJmZmVXfemust0LYJkM3cb9uqzhXlqpsrea1OPh9ByMEwEZDNuKwzQ6jsa6xyikzMzMzq45h/YZx5PuPpI/SperoQaM59gPH0lTnypJVliKi/Vi9zNixY2P8+PEV29/sRbOZ2zKXlqUtNNc1M6xpWMX2bWbW2SQ9FhFjq52OWlfpc5VZpc1ZNIc5LXNoWdJCc72vj6xzdfRc5aHDu4GBDQMZ2DBw1VZeMBPmTYep/4IR74PmodBvjc5NoJmZmVmFDWgYwICGAdXZ+bxpMGcKzHgZ1twsXV+5CWCv5MpST9YyHybeALccvyxsn4vh/Z8BN+MzMzMzW3nzZ8A9P4BHr0jzfevhC7fA+ttUN11WFa4s9WQLZtDywl3MOOxW5tc10LR4EYPHXU79hrvCwHdVO3VmZmZmPc/CWSxYspBZh9/OQkHT/JkMe+RSNHwM9B9R7dRZhbmy1IMtoQ9Pb3Uoxz14CrMWzWJQ4yAu3vosNlcf+lY7cWZmZmY90LwI7nrP1px173EsWLKAtfuvzRXb/YD1QtVOmlVBxUfDk/RuSddLmilplqQ/S1pxfMjy6/aTdK6k1yXNl/SQpO3LxOsj6VRJL0laIOlJSZ/u/NxU1zQF33jkHGYtmgXAzIUz+caj5zAND9phZra6fL4y651m19fz3cfOY8GSBQC8Nvc1znjyYmb29SDSvVFFS11SM3A3sDHwReAQYEPgHkn9O7CJXwJHAN8F9gZeB/4macuSeN8HzgQuBvYExgF/lLRXJ2Sj22hhKVPnT10ubMq8KSx2ZcnMbLX4fGXWe81smcPiWLxc2LPTnmVRLKlSiqyaKt0M7whgA+C9EfECgKQJwPPAV4CftLaipC2AA4EvRcRVOew+YCJwFrBPDhsJnAT8MCLOy6vfI2kM8EPgti7IV1U09m1k1BqjeGnWS++EjR40moa+DdVLlHWpWfOms2RpC0MGjKx2UqxGLVg4j3mLZtO/cRCNDb365dg+X5n1UkMah9BU18T8xfPfCdv6XVv7HU8lWha3MGv+2/Sr60//plUc1Xk1TJ/zJnV9GhjYPKRL91Pp54n7AOMKJx6AiJgM/APYtwPrtgDXFa27GPg9sLukwvBvuwMNwNUl618NbC5p9GrloBsZ1jSMn+70M9439H1AerP1RTv91O8hqEHzF85l0rTnOOPhMznxgW9x9+S/Mn3O1PZXNFsJb819k0v++VO++vcT+eVTl/H23CnVTlI1+Xxl1ksNahzEpbtexroD10WIj6y9LSd/+JTqDWPeDU2bO4Xr/vU7jr//JM577Me8Mfu/Fdv39DlTuX3SrXz9gW9x5sNnMXn6JBYuWtBl+6v0k6VNgZvKhE8EDujAupMjYl6ZdRuAMfnvTYGFwAtl4gFsAkxeiTR3WzPmLeLyu2ex/6jvMWqLJia/NZ/L75rFt/ZYxOBmP12qJTMXzeDzfzn4nbtc498cz8U7XMAOA3atcsqsVrw9+01OfOCbPDHlCQAmvDWBSbMm850Pn87g/sOrnLqq8PnKrJeaOW8pV961lOO2uIgRAxuY8Mpc/vzoLL687TAa6z2E1vwFc/jdM7/lymd+A8CTU59k3Jvj+e3uVzFiwFpdvv9H33yYbzxw6jvzD7z2IDfveyNrNnTNSNCVriwNBaaXCZ8GtPcMra11C8sLnzMiorTjTmm8Hm9+yxKufeQVrn1k+fCv7bIhg6uTJOsij74+brnmAADXPP8Hthi+JYMH9MoLWetkC2PROxWlgjtfuYeTx55cpRRVnc9XZr3UzHkt3DbhDW6b8MY7YcP6N7D/h9ZlpCtLzG6ZxfWTlr+X9OqcV5m9aDYj6NrK0vQ5b/K/z1+/XNi8xfOY8ObjfGzAx7tknx7WI5N0pKTxksZPndozmjf1kWgq+adtbuhLH3loy1ozvGnFCtHwxqHU1/kJonWOvupLfZ/65cIG1A9A/j3pVnriucqsp+nXsGKFaGj/Bl9fZX0QQ/qteM+osa7r+7nW9WlgWOOK+x5W5jqps1S6sjSd8nfkWrsL19F1YdmduOnAYK14hi+Nt5yIuDwixkbE2BEjesYLx9ZoqufkPd67XNi39tiYQU1+fVat2XDIxmwybJN35gfWD+ToLY6if781qpgqqyXNfZs4erPDlws76YMnsEZ9r/2OdcvzVU88V5n1NAMa69j/Q+u+M9+3j/jePpsyfEBjG2v1HkObR/LtsSfTV8sqlZ/cYB+a+nT9DdyBzUM4bsvjaK5rfidsi+FbsN4ao7psn5W+qi600S61CfBMB9b9pKTmknbgmwCLWNbmeyLQCLyH5duBF64029tPj9FU35dPf3Bdtt9oBBP/O5PN1hnEsAGN9Kt3ZanWDB+wJpfs+FNemvkiMxfOYPORWzK40S10rPMMbB7C/hvuz87r78Kzbz3DpiO3YFDdGvRr7Mgo2TXJ5yuzXmpwcwPf3ut9HPaRUUx+ey4fePcQhjTXt79iL9Gnb182Hbopt+13C0+++TijBm/Amk0jGTpgzYrsf+3+63DLvjfy5JuPM6xpOOutMYrhXbhvrdhUuutIOgE4D9goIl7MYaNIQ7GeEhHnt7HuB4DHgUMj4jc5rA54CnghIj6Rw0YCrwLnRMT3ita/E1gzIjZvL51jx46N8ePHr1Iezcx6O0mPRcTYaqdjdfSE85XPVWZmq66j56pKP4K4AjgOuEnS6UCQXsj3CnBZIZKk9YFJwFkRcRZARDwh6TrgQkn1pBGCjgZGAwcV1o2IKZJ+ApwqaTbphPVZYGfyuy3MzMza4fOVmZlVtrIUEXMl7QxcAPwOEHAXcEJEzCmKKqAvK/apOgw4BzgbGAw8CewREY+XxDsNmAMcD6wFPAt8JiJu7dwcmZlZLfL5yszMoMLN8HoKN20wM1t1tdAMryfwucrMbNV19FzlocPNzMzMzMzKcGXJzMzMzMysDFeWzMzMzMzMynBlyczMzMzMrAxXlszMzMzMzMpwZcnMzMzMzKwMV5bMzMzMzMzKcGXJzMzMzMysDL+UtgxJU4GXV3H14cBbnZicnsB57j16Y76d55W3fkSM6KzEWHn5XDUDmFmyaFCZsGp+j8ulp5Lb6ug67cVra3lry8qF12r51ELZlAuvhbJZ1W11t/Lp7P+djp2rIsJTJ07A+GqnwXl2np1v59l57h0TcHkHw6pWpuXSU8ltdXSd9uK1tby1Zb2pfGqhbMqF10LZ1Er5VOt/x83wzMzMeq5bOhhWTZ2ZnlXZVkfXaS9eW8tbW9abyqcWyqYj+6ok/++s3H66hJvhdTJJ4yNibLXTUUnOc+/RG/PtPFstcJl2by6f7stl071Vonz8ZKnzXV7tBFSB89x79MZ8O89WC1ym3ZvLp/ty2XRvXV4+frJkZmZmZmZWhp8smZmZmZmZleHKUieQ9G5J10uaKWmWpD9LWq/a6WqLpP0l/UnSy5LmS3pW0v9IGlgSb4ikKyW9JWmupDslbV5me/0knSvp9by9hyRtXyZeH0mnSnpJ0gJJT0r6dFfmtS2S/iopJJ1dEl5z+Za0l6S/S5qTv6fjJe1ctLym8ixpW0m3S5oiabakxyV9qavzIukISf+WtDD/Xx3VRflbV9LPcprn5e/xqDLxqpZHSftJeiJv72VJp0vqu7p5NzMzq5hKDoFYixPQDDwPPA3sB+wLPAVMAvpXO31tpHsc8AfgIGAH4ATS+zrGAX1yHAEPAK8Cnwf2AO4jjWe/bsn2rsnrHwHsAvwZmA9sWRLvHGAhcBKwE3AZsBTYqwrH4PPA60AAZxeF11y+ga8ALcAFwMeA3YFvAXvXYp6B9+c03ZP/Jz+W9x/A0V2Vl7ydpTn+TsDZef7oLsjjjsCbwG3A33LeRpWJV5U85u/YElJ78p2AE4EFwI8q8Z33tNLfp+8Az+Wy3K/a6fG0XNkMAW7N5fMkcDswptrp8vRO+VwHTACeAB4Bdql2mjytUEaH5XPkKv22VT0DPX0Cjs8XBGOKwkYDi4ETq52+NtI9okzYF/KXaec8v2+e36koziBgGvDTorAtcrzDisLqgGeBm4vCRuaLse+V7PcuYEKF8z8EeINUMSitLNVUvoFR+eL4hDbi1FqefwAsAgaUhD8EPNQVecnrTgF+UxLvV6RKZ30n57FP0d+HU6ayVM08ki4c7iuJ991cLmt19XfA00p/n7YGNgDuxZWlbjUBg4Fdi+a/Btxb7XR5WlY+RX9/IJ83+1QrPZ5WKJ9RwIP5/L9Kv21uhrf69gHGRcQLhYCImAz8g3QB2i1FxNQywY/mz3Xy5z7AaxFxT9F6M0nj3BfnbR/SU4vriuItBn4P7C6pMQfvDjQAV5fs92pgc0mjVy03q+RHwNMRcW2ZZbWW7y+R7hZf2kacWstzQ07n/JLwmSxrftzZedkGGFEm3u+AYcB2q5qZciJiaQeiVSWPkt4NbNlKvHpgzw6k3drQ0WaYOW67TcUjYlxEvFiJtPcGnVk+ETEjIu4sWuVB0gWgrYIu+N+ZUTQ7qAuTXvM6u2wk9QGuBL5KuiG4SlxZWn2bkprglZoIbFLhtKyuHfLnv/JnW3lbT9KAoniTI2JemXgNwJiieAuBF8rEgwodL0nbkZ6iHdtKlFrL93bAv4HPSZokabGkFyQV57/W8vzr/PlTSWtLGiyp0AztgqI0dmZeNs2fpcexot/vEtXKY9l4+UbSPHreb2N3NAb4DDAduL+1SJKagbuBjYEvAocAGwL3SOpfgXT2Vl1ZPicAN3VqanuXTi8bSRdIehH4E/DpDt7MshV1dtmcCPwjIh5bnUTVrc7KBsBQUqGWmkZq6tUjSFoHOAu4MyLG5+ChwEtlok/Ln0OAObR9DArbKXzOiPxctI14XUZSA6kvxnkR8Wwr0Wot32vn6Vzg26T+dAcAF0uqi4iLqLE8R8TTknYEbgCOycEtwFER8fuiNHRmXgqfpdus2Pe7jGrlsbV4hbBqHIta8/eIWBNA0uHAbq3EO4LUvO69hRYQkiaQ+tp+BfhJBdLaG3VJ+Ug6I8c/sovS3Rt0etlExNeBr0vaA/ixpG0jYlEX5qFWdVrZSNoM+DSwwoBGK8tPloz81OAmUj+rw6qcnK52MtBE6pzeW/QBBgJfiYgrIuLuiDga+CtwqiRVN3mdT9KGpDt8E4FPALuSmiFeKumgaqbNrDOsxJ3rHtlUvKfrivKRdDqwF7BnmafF1kFd+b8TEX8l3VxcYSRZa18nl81HSc1Vn5f0Eqlf5uWSjlvZdLmytPqmU/4JUmt3dLsVSU2kfikbALtHxKtFi9vKW2F5R+JNK4o3uMzFeWm8LpHbsp5GGvWpMTfNGpwXF+b7UmP5Bt7On3eUhN8OrAm8i9rL8w9IT5L2johbI+KuiPgaaQTIi3I75s7OS+EYlW6zUnkup1p5bC1eIawax6K3qqWm4rWoQ+WTnyh9Atgt9ye1rtdu2UhqKu6DK2kbUv9N9//rWu2WTUT8IiLeFRGjImIUabTnIyPi4pXdmStLq28iy9rnF9sEeKbCaVkpkuqB64GxpOGBnyqJ0lbe/hMRc4rijc5tSEvjLWJZP4iJQCPwnjLxoOuP1wZAP1Kn8+lFE6ThkqeT7gbVWr4ntrN8KbWX582BJyOipST8EdKJbCSdn5fCcS49jpXKcznVymPZeLmjbjPd/LexxnSoqbikMyW9ShrE40pJr0pat0Jp7M3aLR9JmwJnkn677pP0T0njy6xjnasj/ztNwP9KelrSP4HzSH2Wuv3N8h6uol1gXFlafTcDW0vaoBCQLwi2zcu6pXxn/RpgZ9JQiuPKRLsZWEfSDkXrrUG6u1Wct1tII1wdUBSvDvgscHtEFEYg+Svpbn9pM6iDSSPTTV6tTLXvn6T3vZROkCpQO5EuHmst3zfkz91LwvcAXo2IN6i9PL8BbJn7qBXbivSun2l0fl4eIg2fXS7eNFLzgEqrSh4j4j+k98GUi9cC/GXVs2RdISLOjIh1I6IxIobnv19tf03rahExMSIUEWMiYss8ja12ugwiYlpEbBMRm+Vy2TYi7q52umxFEbFjRNy4Kut6gIfVdwVwHHBTbk8cwPeBV0gDCXRXl5AuoM4B5kraumjZq/kkeTPp4uhqSd8k1eJPJb3A9MeFyBHxhKTrgAvz06rJwNGk900dVBRviqSfkPrJzAYeJ1207Uxqf9ql8vCe95aG55ZHL0fEvXm+pvJNemnpPcBlkoaTmgccQOo4WeijVmt5vhj4I3CLpJ+ThhDfh/RerQtyx9tOzUtEtEj6DvBzSf8F7sxxvgR8tSs6+0raP//5ofy5p6SpwNSIuK+zy2sl8/ht4FZJlwHXkt4/cjpwUa6gW2X06KbivYDLp/ty2XRflS2b6AYvjOrpE7AeqTP5LGA2cCMlL4fsbhNp5LNoZTqzKN5Q0gsnp5GG/L0L2KLM9ppII8O8Qbpz/zCwY5l4fUkXTC+ThiqeAOxf5WOx3EtpazHfwBqkCvKbpOZXE4ADazzPe5Iqx1Pz/+U/SSPj9e3KvJBG4nkux3seOKaLv7vlpnu7Qx6BT5GeMC0E/kN6KW3f1c23pxWOc9mXEudldwMPlAm/l5KXBnty+fS2yWXTfafuVDbKGzczM7MeKA+xewUwOiJeKll2AqkfxUaRXzqbm4o/D5wSEedXNLG9kMun+3LZdF/dqWxcWTIzM+uBipph7gIcRXpy+k4zzBynP+np3nzSk8NCU/GBwPtj2eAt1slcPt2Xy6b76o5l48qSmZlZDySptRP4fRGxY1G89YALgI+R+iHeBZxQerfWOpfLp/ty2XRf3bFsXFkyMzMzMzMrw0OHm5mZmZmZleHKkpmZmZmZWRmuLJmZmZmZmZXhypLZSpB0qKSQNKbaaWmPpLUl3SJpek7zcRXa786SzqzEvszMzMy6kitLZrXrTGA74FBgG+CPFdrvzsAZFdqXmZmZWZepq3YCzGx5khojYmEnbOp9wBMRcVMnbKuqOvGYmJmZmXWYnyxZtyfpzNyMbENJ/ydpjqSXJX1XUp8cp9A8blS5dUvCQtLZkr6RtzMvb3dknv4gaaakVyR9q5VkrS3pxpyWtyVdIqmpZD/Nkn4kabKkRfnztEKac5wdc3o+JekKSVOBN9s5Hsppf07SQkmvSfqZpAF5+Zic5+2AnfL2Q9K6rWzvVEkLJA0us+xZSX8qml9H0tWS3srrPCnpwKLlZwOnFR3nkLS4aPkASedKeikfkxclnSJJRXF2zevtJ+lXkt4C/puXbZyP+5S8///k8vJvmZmZmXU6X2BYT3IDcDewH3Aj8D3gi6u4rUNIzcWOAY4DPgr8Nu9jAvBp4Dbgh5L2KrP+1cALwKdIL0U7AvhFYaGkOuBvwOHARcCewJXAd4Bzy2zvZ6SXqh1CajbXlh8B5wF/BT6R//4ScGuuNLxCanY3EXg0/70NMKWV7V0DNACfKQ6UtBWwEem4IGkgcB+wG3Aq8EngGeAaSV/Kq10K/Dr/Xdjvtnn9euB24DDSMdsTuIpUjj8sk65LgMXAQcCXc9htwFrA0cDuwClAC+nYmZl1CfdX7dB+u2V/VUlb5Zui7yoKe1XSldVMV1eSdHhbN0nbWK9Z0puSPtVVaeuRIsKTp249kfreBHBYSfhTwO3570NznFHl1i0JC+A5oK4o7Cc5/PSisDpSBeOqorDCfi4t2eZpwBJgozx/SI63fZl4i4CReX7HHO+GDh6LEXn9K0vCC+naqyhsHHBnB7d7D3B/SdjFwFtAfZ4/Ie9ju5J49wKvA33y/NmlxzyHH5bX/0hJ+BnAQmBYnt81x/tjSby1SvPoyZMnT5WYin5jx1Q7LR1I6+XAdGBfYGtgzQrtt+xvf7Un4O/AhSVhr5aeR2tpIt2oDWDdVVj3m8CzxddIvX3ykyXrSf6vZP5pYL1V3NYdEbG4aP7f+fNvhYC8/AXg3WXW/0PJ/O9JT2o/nOf3AF4GHpRUV5hIT1bqSSewYjcUz+SmdnVFU9+8aJu8/tUl618LLAV2KJvbZdutK0lPwW+BbSWNzvHqgc8C10VES46zPfByRDxQstmrSRWZ97a1b9IxmQQ8UuaYNABblcS/oWR+CumY/jjfNev2d3jNzDpKUmMnbeqd/qoRMS4i2mza3Z2t7jHJLSQ+SlHLD2vXr4DRwD7VTkh34cqS9STTSuYXAv1WcVvTS+YXtRFebh+lJ5/C/Dr5cySwPqmJWPH0SF4+rGT910vmdylZrzC4wdByg5pZywAACiRJREFU8SMNfjC9aPkKcuViufQUPaL/E7AAODjP7wkMJzfBK9p3aToB3ihJW2tGAu8pTQPwYF7e5jGJiKWk4/IEqSni85ImSTqynf2aWQ+jDvRVzfHcX9X9VdtyOPB4RDzbTjwkbS3pLklzc/neIWlsmXgn5u/PfEnjlJr5tdusT9Iaki7O36+FSs3d7pC0UVGcOknflvSvHGeqpL8U4khqknSRpIk5na9LullSezcrC9s/StKEfAyn5u/ecuUfEW8Dd+ZjZ3g0PKsdC/JnQ0l46QV4Z1mT1CeoeB7yDzvwNjCZkn5ARV4qmY+S+YeB/1dmeaHCuBbpMTkAkhqAIaxYoSz2Ssk2IZ+cI2KWpJtIlaXv58/nI+LhorjTgA+U2e5aJWlrzdukJ3Wfb2X55JL50mNCREwCDsknyC2ArwGXSZocEXe0s38z63luIPVtvIDUR/N7pN+yq1Zxe4eQWiUcQ/rdvpB0U2gg8BdSE7YDSP1Vn4qI20rWv5rUsuDnpJYE3wX6k/uaall/1U1Iv6VPkVoSfId0Q+kbJdv7Wd7vIbR/8+9HpCZSPwNuBTbL+9hc0s4s6696JTCP9PsIbfdXPYd0nrq8EKhl/VVPzvOF/qprkPqrvgp8gdRftV9E/IrUX3Udlr2qAvJvuJb1V90op/dp4COkshwClFZMLyG1JDmo6JjclvNxNKl5+DrAx2m/v+ruwJ/biYOkD5CalD/Fsr7QpwJ/l/ThiHg6xzsKOB+4gnSTcQxwHenYtOciUguL00jnwmGkp16DiuJcn/N1AamPdj9Sc/21SN0HmvJ0FulG5TDgWOAhSRtHRGtljaTzgONJ3/mTgHVJ5b+ppO3yDcmCvwNnSGqIiEUrbq2XqXY7QE+e2ptY1mepriT818BL+e9tcpxPFS2vI1UoomS9AM4uCTuUMu3RST+eD5SJ11qfpQ2L4rUAG7eTtx3z9nbt4LEo9Fn6RUn4F/N29iwK63CfpRx/z7yN3YD5wHdKlh+fl29VEn43y/dZ+k6O11QS73DSE7IN20lHoc/Sjh1I89Ac9+vV/p568uSp8yY60Fc1zxd+k0eVW78kzP1VV9xuzfZXJVWoVvgO5WXL9VkiDRo1DVijKGwwMAP4Q57vC7wG3Fyyrc/k/bTZB4rU3P/HbSzfLW/nmJXIY19SZX0e8NWi8OX6LJFadSwBvl2y/g453t4l4bvn8A+vzDGv1cnN8KxWPErqD3OupP0lfQK4BeisNuCl9spNCj4m6TTSj/5vI+L5vPwaUvOyu/Ij+10k7SnpOEm3S2pelZ1GxFTSXaGvSPqJpN0kfZ10J+4+ivpcrYLbSU+afkU6br8rWf4r0jG+UdKXc36uAXYCTotld6WeyZ8n5eYJH8rzvyWV0z2STig6Jl/NTRHaLCtJH8xNJL6Sm2vsTrqb2UI64ZtZ7enMvqrg/qq9qb/q2vlzagfibk+qBM0qBETEDNITvMKxXR94Fyu+4P0GUhm051Hgy7n54YfKNCHcjVSh+WVbG5H0OUmPSJpJGjF2DulpU1vlsBvpe3pNSRn8g1TR2r4kfuGYrY25smS1IZ/c9iU1Q/g1qfJwB8uGse5sB5OaFNxAalZxBalZRyE9LaQ7M1cAR5KaEFxDegL0IMv6SK2Kb5GaR+xN+iH/JqlJyt6x/GP0lRIRS0gn3nVIT9NeKlk+m3TSuAv4MelO3GbAQZGaYRTcBFxGagLyEKlJIZEe5X+MVOk6mnRMriYdywdIlZ62vEZq5ngScHNO60jg4xHxz1XJs5l1e53ZVxXcX7U39VctlF+bLzSXJFJzwNbyWMhfYejx5Zq65fN9e83QIV0jXEF61ch4YIqk87Wsz9sw4K1o4wXskj5JOvc9TWrSvhWpef002v6/GJk/X2LFcmhmxTKYnz+bMPdZsu4vIs4kNakoDT+0ZH4iqWlDqTNL4q3Qxjkifk2ZilVE7NhGvL+XT/E7cRfkfZ/ZRpx7Wcl3BEV6Rn5entqKV3oHsyPb/jrw9TaW/5dlJ9XW4iwGjspT6bL5pDb+321j/Tspc0wi4g1SO3kzswL3V3V/1db6q76dP4e0lbiICEnTWZafYmuxLH+FytTI4gj5aVx7FcbCDcdTgFOUBiQ5APgf0nf4NFLTx+GSGtuoMH0O+HdEFN5tiKR+pCaDbSkci12AWWWWv1UyP7SV8F7JlSUzMzPrqV7On5uR+iMVBlnYrYv29xlSP82Cz5GaYBUqF38lvdR8TkT8m5WUL6jHl1n0EOkpwOdITa4LPk9qJXRvG9tc2Mo2C34LfE7SbqRBNH5Qsvw+4JOStiqpRB1IevJSqLwthDRiW74xVlB4gfrMoqbqqyQ/ZXpC0jdI/bU2I7UiKedF0hPCDTqw6fuAvSX1j4i5AJIGkQZbuD3HeZlUYTqA5Zupf4qVbKmVW26cK+mQnAfyfk4ivWS+taHOm0lN74p9oQP7v51UCX13RPymA0kcnT/bHUWwN3BlyczMzHqq4v6qfUgX7MfQxf1VSRefH6Z8f9XDSP1VzweeJD31eg/pvTX7RcS8ld1pREyVdCGpL+h8UgVkU9LToEr0V/0qqb/q6aQm0QeT+qt+uZX+qrcDiyPiMVJl7FBSf9XzSIN0NJBGktuH1IS8raZnHwTOJfUXm0Qa1ODLtNNfNSIWSHqUZf3J2nIWqUJ6Zy5fkZ4CNZKOMRGxRNJZwC8kXUZqwrghqVn8bNrptyTpYdLIfE8Dc0nHb1NSs3Ui4g5JNwIXSVo/562B1GLmxoi4n1TuF+fj+BfSE8PjKP+0qPhYPJfX+YWk95Faxiwk9cvbjTRo1P1Fq2xF6qf2n7a221u4smRmZmY9UkQslrQvqZ/qr0lNpi4kPek5owt2eTCpn+rRpKcWV5CeBhTS05IHnzmF1F91NOnCeBJpsIrV7a86JW/3OFITqauAU1e3v6qka0mj3t1frr+qpB1I/YV+DAwgDYxxUET8b1HU4v6q3yNVHuoiYpGkj5GG4j4aGEUalOAFUt/Vlemvug6p2doEOtZf9TrgnDJPu0qPwROSdiINpf070lOYcaRRDZ8uineppP6k0WG/SKr4HUiqxMxsJy33k54MbkCq8L0IHB8RlxTF+Qzpu/MF4MS8zYdZ1j+seIj2Y/Kyj7PiQCjl8niypIl5va+RBpN4hdQPeVJJ9I+TBi8xQKn7g5mZmZlZ7VB64eorwBER0SUX/5K2Jj2VOjAiru2KfVSSpG1JTys3iogXq52e7sCVJTMzMzOrSZLOAPYDPhiredEr6T2kwYvuJzW925T0xGwesHke2KlHk3QL8HpEtDfaYK/hZnhmZmZmVqvOzZ9rsqw526qaD7yf1AxuMGnY9tuBU2qkotRMGgzk0mqnpTvxkyUzMzMzM7My/FJaMzMzMzOzMlxZMjMzMzMzK8OVJTMzMzMzszJcWTIzMzMzMyvDlSUzMzMzM7MyXFkyMzMzMzMr4/8Dl66pcfE/sy0AAAAASUVORK5CYII=\n",
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kbr+Y2Hv4ors/nrVAay871Y2Bd0uoh7s/DTwdnS0ZRfixei7wuJkdEDu75WGUqa+YWXvCUfWJwAXAw2Y2PM3/x92EbpeTCffwmkp0bUF8pWjfuxW4NRrh60hC43Iq4QzBkWmsK5vSipuwXXdNsYw6274Bjd3Xk+53WdimawmNhu711LmbsF+cQjgTOTWuPN7FhAMNU9291jaMPlOpzr6l+kwl8w3C+7rM3a9KWMf/sfP7UOwM257sOPOUTOz/eJ+7n1xPPQDcfTrhoER9y0r7813Pevo0VIeG9+VkjZFdqXtGsE59M+tPwweM4i119zviXi8BDktxBn6/uDoNidXZL3GCmRmhsf++hxFjGxKLo2OK6bHPTtJBlkRaIg0dLq3JHYQjqmebWY9kFaLE8MO4+rVEyeKvhB85x9PIeytFjZ/XCD9WxhH62MdGVZpLaKydS7j4eV7C7LHufyMzWedO6kfoLjLH695bJtURxPo05XuI3T3+iMQJ0VnDEYQzBHXOLrr7Znd/0t0vAG4inGGs8/7cfZu7P+/uPyJ0NSkmNJzTcTfhB+/Xo/1wAqE73wepZnD3Ve7+oLtPit7fmGgEqlxKN+6FQBczG55kGUfG1YmJ3QMm2VmuJttPGrNNo8bWG0D/aCTAZGYRBmiYGp15Polwpi3xvjL7Rs8PxxdG++ghGb2Z1FKtwwgHBXZWbHTEYxuo9yZhm5TVs93S1ejPdyP1j0bCTBQbFv0/SabViS1F/f6EM2jpPhIbVk9Hz8m2/xcT6tSnvuWMIuS7dJYDO0Z1XZ5i+kBCvnsnzeWJNHtqLEmr4e5vEYYq7gnMis6WbBedLbiecLbnfeDPKRYVaxh9l3CH83dJ0n8+DfOiWM4CXvAdwx//i5BMpsXVi/dnQnedqy3cO6oWM+saDYedTbFuKaOiH1qxde3PjsZlJh4CPgCmRd2UajGzkujoesai6w2eBoab2SkJk39AOOp7b2x7m9koCzckThTbP7ZE9Q6JzvbVWy/N+J4l/DA5j3BWMbErG5bk3jNmVkLoElPFjkZGTqQbNzsOMlwd/8M4Gu75m4Qj67Pi6sfOmu6VZFlZ3deztE2fJRw1H5JsYtRFcWY0/fuEAx5/TXKWOvaZ2t4Yjz5bV5P6bEam6qwjcjHpXzdWnzsI3ammmVmt7WHBHhCukSPc9HRfEvaLuPqfi87s1ivTz3cWtCMM0BEf6wTCQa6F7p7suqgfm1lpXP3ehDPQW4gbVt7d57i7ZfBIvDfWbYR99sfx301mNgw4FXibhEaOmR2Q+FmKrpt9ARhvZsfG1S0CfhG9vDWuvKeZ1fm8Ru/z99HLOt3So8bsQcBLWfz/iOSduuFJa/MDwr1xzgSWmNkjhKO+PQhH4vYm/Jib7O5rki3A3V+1cCPI2BG0Pyf5IZSOeYTua7XOHrn7tui6paOoe70S7v6JhRsc3ge8bmb/IHSjKCWcARpL6N//rUbElJS7rzCzmYQL+v9tZnMJXW8mES74/2qGy9tq4eadjwEvmNkThHvytCOMyHckYcCLLzQy5G8TrtG408y+QvjRcCjhh/4ywn4Q8wNgbHSN0jLCdVifIxwdfoUd9yg5jXBW8llCA3kD4fqLLxB+lN6fQXx3E7pY/phwbdyDSerMMrO1hMbze4TrZL5I+B/fkDhoQ46kE/cdhPvrTAQWRvtnN8JNnouBszzuBpqE7fs/wC1m9jfCUNTvufudTbCvZ2ObziL88B1PODuczN2E/WV63OtENxO+h2aY2X2E750joljmUXeAg8a4k7B/3xANmlBOuD5yJOHm2RN3ZuHu/pGFm+zeBbxsZg8RhnnflbCf/IPQMIMwGlwZ4SDQpOhztJpwPdWhhDMOe5DetSyZfL531kLCfa9eIDQ8YvdZqiD5fldNuIbr9eg7s5hwdrEncKEn3Ax9Z7j7m2b2M8J+9h8zm0G4jvBrhIPdZ7v79gMA0ZnON6MYE3/ffYuwTf8e7Y8rCQcDhxKut4sftKIvYUCc5wnbPnaPsC8RPpt/igbjSDSGcJAl2TSRlsubwZB8euiR7Qchqf6NkNQq2TE06+Okcf8Hwo8lJySdPo2MIXa/JafuPYp+TIrhcePqDCYMifsB4Qf+p4Qf978EDoir15csDB1OuBD994QfmVuARYQL7/ulWP5yUgxrG1dnb3bcJHQrYXjh1wln+NIaWjbVeghdXO5gx0AU70fr2jWh3gTCD+63CA2gdYQfwZdR+35AnyP8wH2DcK3GJsIPj18nLjONmLtF29CBv6Wo821C96nlUd1VhB8zpwKW5nocmJfJdtvZuKN6RYQfrIui+msJjeojU9SfRvjRtS1ZzBns62OpZ/jsLG1TIzTYXqmnTiHhu8WpZ3h2wvWTL0T73WeE76T9SDLUNTuGDj8jxbKSvnfCDWX/SfhsrYv+D4cRfmDXGi66vu1H/d8Nh0WxryJ8jj+IXo9OqNeOcFbyJcI1RRWExtVDhMZlu1TbqrGf76hune2ZxvJjQ4fPIXzH/S3ahpsI17zW+X6K9qUqwpnH3xEap1sJXe+mZvJZy/BzeSphlMTYfcweBQ6t5z1VpVjOAYQDIJ9Fn4/Xo/9XQUK93QjfhQujupXR8z9JMmx63Hy3R//zbk21LfTQIx8Pc2/MAXORlsXMDiV0r/mQ0HBJNQKSiLRxZnYe4Yf5oe7+Sr7jkeyLzsJUAk963e5vqeZ5Dhjp7uqVk8DMuhEOtN3t7t/Odzwi2aRrlqRNcPeXCUduBwCz83DxvIi0HLcQLlC/PN+BiLQQFxPOyv4034GIZJuOjkib4e73R0cT9yeMAJTtIa1FpBVw90ozO4NwQXyJ1x0hUkRqWwOc5lm8ZkukuVA3PBEREWlT1A1PRNKlxpKIiIiIiEgSumZJREREREQkCZ1KTqJnz57et2/ffIchItIivfzyy5+6e698x9HaKVeJiDReurlKjaUk+vbty4IFC/IdhohIi2Rm7+U7hrZAuUpEpPHSzVXqhiciIiIiIpKEGksiIiIiIiJJqLEkIiIiIiKShBpLIiIiIiIiSaixJCIiIiIikoQaSyIiIiIiIklo6HARaXHWr1/PJ598QmVlZb5DaVOKiorYdddd6dKlS75DERFpEZSvci/buUqNJRFpUdavX8/HH39M7969KSkpwczyHVKb4O5UVFRQXl4OoAaTiEgDlK9yrylylbrhiUiL8sknn9C7d286duyoxJNDZkbHjh3p3bs3n3zySb7DERFp9pSvcq8pcpUaS1m0cUslazZvy3cYIq1aZWUlJSUl+Q6jzSopKVF3khZuW1UNqzdtZWtVdb5DEWnVlK/yJ5u5St3wsmBbVTXLP93Mr2b/l3WbK/nG4f34/IAedC1pn+/QRFolHaHLH237lu3TDVu59bmlvPDOZ4zs351zxvSnV+cO+Q5LpNXSd2Z+ZHO7q7GUBZ9t2saXb3iOrVU1ACx4bw1/Or2MowftlufIREREgrWbt/G9B//D02+tAuD18nUsXrmeG752CN1KdXBPRCQZdcPLghff/Wx7Qynm9heWs2GLuqqIiEjzUFFZvb2hFPP8O59RUanueCIiqaixlAW7JunCsHuXDhQVavOKiEjzUGBGafvCWmUlRYUUFqibkIhIKvo1nwUH7NGZ4Xt13f66S0k7zj96PzoUFdYzl4iISO7sUlLEZRMH1yq79IsH0KVEPfJFRFLRN2QW9OxUzB9PP4zln21i3eZKhvbuSs9OxfkOS0REZLviokK+NGwPPr9vDxavXM+gPTrTvbSYkiL9FBARSUVnlrKkZ6diyvbpztGDdmO3Lh3UrUFEmrW1a9dy00035TsMybEuJUX07VnKcQfuQb+enehaUpTvkERE6pXvfKXGkohIG1Rf8qmqqspxNCIiIsnlO1+psSQikkfLly/ngAMO4IwzzmD//fdn6tSpzJkzh9GjR7Pffvsxf/58pk+fzqmnnsqoUaPYb7/9uPXWWwGYN28eY8aMYeLEiQwcOJBvfetb1NTU1FnHokWLGDFiBMOHD2fYsGEsWbKESy+9lHfffZfhw4czbdo05s2bxxFHHMGkSZMYPHhwnWWIiEjb1mbzlbvrkfA49NBDXUSap8WLF+c7hKxatmyZFxYW+muvvebV1dV+yCGH+Jlnnuk1NTX+0EMP+eTJk/2KK67wYcOG+ebNm33VqlXep08fLy8v97lz53pxcbG/++67XlVV5ePHj/cHHnigzjrOP/98v+uuu9zdfevWrb5582ZftmyZDxkyZHuduXPneseOHX3p0qUNxtzQ/wBY4M3gu7y1P5SrRJo35av85qts5SqdWRIRybN+/fpx4IEHUlBQwJAhQzj66KMxMw488ECWL18OwOTJkykpKaFnz56MGzeO+fPnAzBixAj69+9PYWEhX/va13juuefqLH/UqFFcddVV/OpXv+K9996jpKQkaRwjRoygX79+TfY+RUSkZWuL+UqNJRGRPCsu3jF6ZkFBwfbXBQUF2/tjm9UeNCb2Oln5zJkzGT58OMOHD2fBggWccsopPPzww5SUlHDcccfx1FNPJY2jtLQ0a+9JRERan7aYr3LeWDKzvczsQTNbZ2brzWyGme2d5rxXmdkTZvaZmbmZnZGkzh5mdrWZLTCztWa2ysyeNLMxWX8zIiI5MmvWLLZs2cJnn33GvHnzOOywwwCYP38+y5Yto6amhvvuu4/DDz+cKVOmsHDhQhYuXEhZWRlLly6lf//+XHjhhUyePJnXXnuNzp07s2HDhjy/q+ZN+UpEJHOtLV/ltLFkZh2Bp4ADgNOBU4H9gLlmlk4T8QKgBHiknjqHAicBs4ATgDOALcA8M/tSo4MXEcmjYcOGMW7cOEaOHMlPfvIT9txzTwAOO+wwzj//fAYNGkS/fv2YMmVKnXnvv/9+hg4dyvDhw3njjTc47bTT6NGjB6NHj2bo0KFMmzYt12+n2VO+EhFpnNaWryxc35SjlZldBPwWGOju70Rl/YAlwPfd/bcNzF/g7jVmNiCa50x3/0tCnV2Aje5eFVfWDlgEfOzuDR6xKysr8wULFmT25kQkJ958800GDRqU7zByavr06XTq1In/+Z//qVU+b948rrnmGh55pL7f49nX0P/AzF5297IchpR1LSFfKVeJNG/KVzvkI19lK1fluhveJOClWOIBcPdlwPPA5IZmdve6YwzWrbM2PvFEZVXAQqB3xhGna9Nn8Mmb8OEC2PAx5LARKiIiWdc689XWjbDuQ1j+fHjeurFJViMi0lq0y/H6hhC6GyRaROiC0CTMrD0wCnitSVawaRX87RxYGl2E1nkP+OYc6NqnSVYnIm3L9OnTk5aPHTuWsWPH5jSWNqT15auqbfDOP+HBs8BrwApgys0weBK065D11YlI29Ma81Wuzyx1B9YkKV8NdGvC9U4H+gC/apKlr3p7R0MJYMNKePa3ULmlSVYnIiJNrvXlq4rV8Mh3Q0MJwvOj34OKZG9TRESgDQwdbmanAJcCP3P3Z+upd040ItGCVatWZbaSNcvqlq1+F6q3ZrYcERFps9LJVzuVq2qq6zaMtq4P5SIiklSuG0trSH5ELtURvJ1iZl8G/gL8yd2vqK+uu9/i7mXuXtarV6/MVtRvDBQk9Gg8+FTo0DWz5YiISHPRLPPVTuWqog6w96jaZX3K1AVPRKQeuW4sLSL0A080GFiczRWZ2dHAA8BM4NxsLruOjr3gzMdgrxHQc3+Y+FvY96gmXaWIiDSp1pevOvaAE/4MB50Cu+wDw06EE++E0p5NtkoRkZYu1wM8PAxcY2b93X0pgJn1BUYTuh5khZmNIlyY+yTw9XRGJdop7UtCQ+lr90FNFZT0gMLCJl2liIg0qdaZrzrvAcddA5UboagUijs16epERFq6XDeWbgXOB2aZ2Y8BB34GfADcHKtkZvsA7wJXuvuVceVHAr2A3aOiMjPbCODuD0Z1DgAeBT4FfgMcambbA3D3l5rqzdGxe5MtWkREcqr15qvi0vAQEZEG5bSx5O6bzOwo4HfAnYARjqZd7O7xN3swoJC63QR/ChwZ9/q86BGbB2AkoZ95N2BukjAsSZmIiMh2ylciIgK5P7OEu78PfLWBOstJkiTcfWway/8L4SJZERGRRlPfQxbDAAAgAElEQVS+EhGRVj90uIiIiIiISGOosSQiIiIiIpKEGksi0uY99Go5o3/5FP0ufZTRv3yKh14tz3dIADzwwAMMGTKEgoICFixYkO9wREQkj5prroLWna/UWBKRNu2hV8v54YzXKV9bgQPlayv44YzXm0USGjp0KDNmzGDMmDH5DkVERPKoOecqaN35So0lEWnTfjP7LSoqq2uVVVRW85vZb+Upoh0GDRrEwIED8x2GiIjkWXPOVdC681XOR8MTEWlOVqytyKg824444gg2bNhQp/yaa65h/PjxOYlBRESat3znKmi7+UqNJRFp0/bcpYTyJMlmz11KcrL+Z599NifrERGRlivfuQrabr5SY0lE2rRpEwbywxmv1+reUFJUyLQJuelO0FaP1ImISPrynaug7eYrNZZEpE07/uDeQOgPvmJtBXvuUsK0CQO3lze1tnqkTkRE0pfvXAVtN1+psZRtGz8Br4F2HaBkl3xHIyJpOP7g3jlNOOmaOXMmF1xwAatWrWLixIkMHz6c2bNn5zsskdZn06dQUwUFRVDaI9/RiCTVXHMVtO58pcZStlRXwsdvwIyz4dMl0H8cHH8TdNkz35GJSAs1ZcoUpkyZku8wRFovd/jsXfjbN2DlQuh9KHz1T9C9X74jE2lRWnO+0tDh2bL5M7jj+NBQAlg6F/5+MVSsy29cIiIiktymVfDXE0JDCaD8ZbhvKmxcld+4RKTZUGMpW7ZugC1ra5ctmwdVW/ISjoiIiDSgagusXlq77ONFUL01P/GISLOjxlK2tO8Ehe1rl+02FArU01FERKRZKmwPpT1rl3XpHa5dEhFBjaXs6dAVptwMRdF49533gOP/TxeKioiINFcde8AJt4ccDlDSDU74S90GlIi0WTrtkSXrvQrvO5qO5/+bwqqtFBR3ho698h2WiIjIdtuqt7Fu6zo2VW2itF0pXYq7UFxYnO+w8qewCPqMgPPmw7bN0L5jaEAVFOY7MhFpJtRYyoI1W9Zww6s38MDbDwAwrNcwfjf2d/Qq0Ik7ERFpHqprqnlt1Wtc8NQFbKzcSGlRKdeNu45Ddj2EdoVt+OdAu/bQefd8RyEizVQb/nbMnvKN5dz/9v2cNfQsjt77aNZvW8/arWvp3L4zHdp1yHd4IiIirNmyhmnPTGNj5UYANlVuYtoz03jwyw/Sqw33hKioqmD91vWs3rKaHiU96NK+i3K3iGynxlIWvLX6LU4bfBqlRaWc+tip1HgNpUWl/PHYPzK059B8hyciIkKlV/Jpxae1ylZvWU1lTWWeIsq/bdXbeL78eaY9M42qmiqKCoq4btx1jNxjZNs+2yYi26mfWBaU7V7GsX2P5aaFN1HjNUA4YnfFC1ewumJ1nqMTERGB4oJi9u+2f62yfl37telrltZtXcflz19OVU0VAJU1lVz2/GWs2bomz5GJSHOhxlIW9OjQg5LCEqq9ulb5e+vfo4aaPEUlIiKyQ/eS7lw77loO3vVgDOOgXgdx41E30qOk7Y7aWllTyYbKDbXKVm9ZXSefi0jbpXPMWdCpfSe6dehGz5Ketbo4jNtrHCWFJXmMTEREZIc+nftw3bjrqPIqCq2Qbh265TukvOpQ2IH9u+3P22ve3l42rOewNn22TURq05mlLOlR0oPbJtzGobsdyi7FuzB538n8YMQPKG1fmu/QREREttulwy70LOnZ5htKEM62XX/U9YzpM4auxV05aq+j+N+x/6ttIyLbqbGUJQVWQL+u/bh27LXMmDSDH33uR/Qs0U3tRKTxHnjgAYYMGUJBQQELFiyoNe3qq69mwIABDBw4kNmzZ+cpQpGWb89Oe/LLI37JzEkz+cXhv2D3Ug0jLpKp1pyv1A0vy7rG7gIuIi3Ha/fDk1fCug+hax84+nIYdmK+o2Lo0KHMmDGDc889t1b54sWLuffee1m0aBErVqxg/PjxvP322xQW6kaaIo3RuX1nOrfvnO8wROrXTHMVtO58pTNLItK2vXY//P1CWPcB4OH57xeG8jwbNGgQAwcOrFM+a9YsTj75ZIqLi+nXrx8DBgxg/vz5eYhQRERyohnnKmjd+SrnjSUz28vMHjSzdWa23sxmmNneac57lZk9YWafmZmb2Rn11D3bzP5rZlvN7C0z+1bW3oSItB5PXgmVFbXLKitCeQ4cccQRDB8+vM5jzpw5KecpLy9nr7322v66T58+lJeX5yLcNkX5SkSajTznKmi7+Sqn3fDMrCPwFLAVOB1w4OfAXDMb5u6bGljEBcBC4BHgtHrWczZwM3A1MAc4GrjJzMzd/2+n34iItB7rPsysPMueffbZnKxHMqN8JSLNSp5zFbTdfJXra5bOBvoDA939HQAzew1YApwL/LaB+bu6e42ZDSBF8jGzdsAvgDvd/bKoeK6Z7Qn8zMz+6O5t93blIlJb1z5Rt4Yk5TlwxBFHsGHDhjrl11xzDePHj086T+/evfnggx0xf/jhh/Tu3bvJYmyjlK9EpPnIc66Ctpuvct1YmgS8FEs8AO6+zMyeBybTQPJx93Tu8DoK6AXclVB+J3AmcDgwN5OgRaQVO/ry0O87vntDUUkoz4HGHKmbNGkSp5xyCpdccgkrVqxgyZIljBgxogmia9OUr0Sk+chzroK2m69yfc3SEOCNJOWLgMFZXAdJ1rMoes7WekSkNRh2Inz5Oui6F2Dh+cvXNYsRhmbOnEmfPn148cUXmThxIhMmTABgyJAhnHjiiQwePJgvfOEL3HjjjS1qZKEWQvlKRJqPZpyroHXnq1yfWeoOrElSvhrI1h3gukfPietZnTBdRCQYdmKzSTjxpkyZwpQpU5JOu+yyy7jsssuSTpOsUL4SkealmeYqaN35SkOHR8zsHDNbYGYLVq1ale9wRERE6lCuEhHJrVw3ltaQ/IhcqiN4jV0HSdYTO0K3miTc/RZ3L3P3sl69emUpFBERaaGaZb5SrhIRya1cN5YWsaOPdrzBwOIsroMk64n1/c7WekREpPVSvhIRkZw3lh4GRppZ/1iBmfUFRkfTsuFF4FNgakL51wlH6Z7P0npERKT1Ur4SEZGcD/BwK3A+MMvMfky4yd/PgA8IN+UDwMz2Ad4FrnT3K+PKjyQMs7p7VFRmZhsB3P3B6LnSzH5CuKlfOeEmf0cBZwEXuPu2pn2LIiLSCihfiYhIbhtL7r7JzI4Cfke4j4QBTwIXu/vGuKoGFFL3zNdPgSPjXp8XPWLzxNbzBzNz4HvANOB94Hx3vymLb0dERFop5SsREYHcn1nC3d8HvtpAneXEJZO48rEZrOdm4o7+iYiIZEL5SkRENHS4iIiIiIhIEmosiYiIiIiIJKHGkoiIiIiISBJqLImIiIiIiCShxpKIiIiIiEgSaiyJiDRTDzzwAEOGDKGgoIAFCxbUmnb11VczYMAABg4cyOzZs7eXP/744wwcOJABAwbwy1/+Mtchi4hIG9Sa85UaSyLS5j269FGOffBYht0+jGMfPJZHlz6a75AAGDp0KDNmzGDMmDG1yhcvXsy9997LokWLePzxx/nOd75DdXU11dXVnHfeeTz22GMsXryYe+65h8WLF+cpehERyabmmqugdeernN9nSUSkOXl06aNMf2E6W6q3ALBy00qmvzAdgIn9J+YxMhg0aFDS8lmzZnHyySdTXFxMv379GDBgAPPnzwdgwIAB9O/fH4CTTz6ZWbNmMXjw4JzFLCIi2deccxW07nylxpKItGnXvnLt9uQTs6V6C9e+cm1OEtARRxzBhg0b6pRfc801jB8/Puk85eXljBw5cvvrPn36UF5eDsBee+1Vq/xf//pXliMWEZFcy3eugrabr9RYEpE27aNNH2VUnm3PPvtsTtYjIiItV75zFbTdfKXGkoi0abuX7s7KTSuTludCY47U9e7dmw8++GD76w8//JDevXsDpCwXEZGWK9+5CtpuvlJjSUTatIsOuahWP3CADoUduOiQi3Ky/sYcqZs0aRKnnHIKl1xyCStWrGDJkiWMGDECd2fJkiUsW7aM3r17c++99/LXv/61CaIWEZFcyneugrabr9RYEpE2LdbX+9pXruWjTR+xe+nuXHTIRc3igtmZM2dywQUXsGrVKiZOnMjw4cOZPXs2Q4YM4cQTT2Tw4MG0a9eOG2+8kcLCQgBuuOEGJkyYQHV1NWeddRZDhgzJ87sQEZGd1ZxzFbTufGXunu8Ymp2ysjJPHCNeRJqHN998M+WoO5IbDf0PzOxldy/LYUhtknKVSPOmfJVf2cpVus+SiIiIiIhIEmk3lszs82b2pbjXPczsHjN73cyuMbPCpglRREQkPcpVIiKSTZmcWfolcGjc698AxwFvA98GfpTFuERERBpDuUpERLImk8bSIGABgJkVAf8P+K67fxW4DDgl++GJiIhkRLlKRESyJpPGUidgffT3CKAUeCR6/QqwdxbjEhFJSQPT5E8L2PbKVSLSbLSA78xWKZvbPZPGUjlwUPT3F4E33P2T6HU3YHPWohIRSaGoqIiKiop8h9FmVVRUUFRUlO8w6qNcJSLNgvJV/mQzV2XSWLoHuMrMHgQuAe6Km3YIsCQrEbVwWyqrWbt5G9U1OpIg0hR23XVXysvL2bx5s47Y5ZC7s3nzZsrLy9l1113zHU59lKskY9uqalizeRuV1TX5DkVaEeWr3GuKXJXJTWmnA1uAkYQLaH8bN+0g4IGsRNSCfbRuCzfNe4dFK9bzpWF7MOmgPenRqTjfYYm0Kl26dAFgxYoVVFZW5jmatqWoqIjddttt+/+gmZqOcpVkYNWGrfzlhWW8+O5qxuzfk6+P3Ieeyt2SBcpX+ZHtXJV2Y8ndq4FfpJh2fFaiacE+3bCVqX/8F++u2gjAy++toXxNBf8zYSAdijRSrUg2denSpbn/YJc8Ua6STKzZtI3v3vcqz73zGQCvvL+GRSvWcc3/O4iuHdvnOTppDZSvWr5M7rPU08z2Tig718yuj7+nRVu1cWvV9oZSzL3//oD1W3QkQUQkV5SrJBMVldXbG0oxc978hIrK6jxFJCLNTSbXLN0GXBp7YWY/Af6PMAzrLDM7KcuxtSjt29XdlN1KiyjA8hCNiEibpVwlaSsoMIoT8nfHokLMlLtFJMiksVQGPBn3+lvAVe7eA7iRcCFtm1VaXMipI3cczCww+OmkoXQv1Wl8EZEcUq6StHXtUMT3jh1Yq+zSLx7ALiXNesRHEcmhTBpL3YGPAcxsKLA7cHs07SFgYIr5ajGzvczsQTNbZ2brzWxGYpeJeubtYGa/MbOVZlZhZi+a2Zgk9XqY2bVmtjSqt8zMbjCzXmm900boWtKe7x4zkEcvPJzfnzScp6eN43P9ulFQoKNTIiI5lJVcFc3fKvOV7FDSvpCTyvrwz++O4fcnDefJ7x3JpOG9Kda1xiISyWQ0vM+APtHfRwEr3D02BGsRaTS8zKwj8BSwFTgdcODnwFwzG+bumxpYxJ+AicA0YClwHjDbzEa5+8JoHQY8DOwPXA68CQwGrgTKorpNMn5j99L2dC9tz5A9uzbF4kVEpGE7naug9ecr2aFrx/Z07die/XbrnO9QRKQZyqSxNAeYbmY9ge8RjtDFHAC8l8Yyzgb6AwPd/R0AM3uNcN+Lc6k9xGstZnYQoc/5We7+56jsaWARIbFMiqruB3weONfdb4nK5plZDaHf+v7AW2nEKiIiLU82chUoX4mICJl1w/s+8AFwNfAu8NO4aVOB59JYxiTgpVjiAXD3ZcDzwOQ05q0E7oubtwq4F5hgZrGbIsQuElqfMP/a6DmT9ywiIi1LNnIVKF+JiAiZ3WfpY+CYFJPHE24C2JAhwKwk5YuAE9KYd5m7b04yb3tgQPT3IuAZ4Cdm9g7wX0K3hsuBx9z9zTTiFBGRFihLuQqUr0REhMy64QHb+1gPJlxEuxpY7O6JR8VS6Q6sSVK+Gui2E/PGpuPubmbHAXcC/46r9ygNJzgREWkFdjJXgfKViIiQ4Sl+M/smsBJ4DZgXPa8ws29kP7SdciswkjBk7JHRcxnwoJklfc9mdo6ZLTCzBatWrcpdpCIiklUtKFdBhvlKuUpEJLfSPrNkZlOBWwj3r7gL+IgwJOtU4BYz2+zu9zSwmDUkPyKX6ihc4rz7pJgXoiN2ZjYR+Bow3t1j99p4xsyWAk8AXyZJ14ro4tpbAMrKyjT6kIhIC5SlXAXNNF8pV4mI5FYm3fC+D9zt7qcmlN9uZncCPwAaSkCLCH25Ew0GFqcx7xQz65jQD3wwsA2IXYR7YPQc36UBYH70PIjk/dCzZvWmj9hUVUFhQTs6FhSzS+muTbk6ERHZIRu5CtpIvpL8Wr/5UzZXb2Vr9VY6tetIj0675zskEUmQSTe8gYSjdMncRXo3+nsYGGlm/WMFZtYXGB1Nq8/fCffI2N6P28zaAScBT7j71qj4o+h5RML8n4uey9OIs9E+3fQx5zx5Psc9NIkJM47j5/OvZvWmj5tylSIiskM2chW0gXwl+bV20yf84bWbOWbGF/jSrMl8/YkzWbnhw3yHJSIJMmksbWDHjf4S9YmmN+RWYDkwy8wmm9kkwlGzD4CbY5XMbB8zqzKzy2Nl7v4qYRjW35vZN83saMIwrP2AK+LWMQNYAdxhZt82s3Fm9m3gjmg9M9N6t41QVb2NB/57H2+t2XFbjNnvz+GdNUvqmUtERLIoG7kKWnm+kvz7dMtq7nzr3u2vP9zwITe+egMVW9blMSoRSZRJY+kx4CozOyK+0MxGEe5q/lhDC4jueH4U8DZh9J+7gWXAUe6+MX6xQGGS+M4E/hyt71FgL+AL7v5K3DrWEy6WfYzQHSP2/HdgVMJ6smpbZQVvrK17/8C3Vv+3qVYpIiK17XSugtafryT/3l+/vE7Z2+uWUlGVOOK8iORTptcsjSTcXbycMNLQ7oQjde9E0xvk7u8DX22gznJCAkosrwAuiR71zf8BkPNRjzp26MrEvY/hmQ+fqVX++T5HpJhDRESyLCu5Clp3vpL8G9RzKIVWSLVXby87ps+RdOnQI49RiUiitM8suftHwHDgIuBFwh3HXwIuAA6ObgTY5n2+92i+c+DZdC3uyh6le/Cbw69mV33xiYjkhHKVtBS7FHXm5qNuoG+XvpQWlTJ1/5P46sATadeufb5DE5E45q6RRxOVlZX5ggULGj3/1srNbNga+hx3K+lJYWFRtkITEWn2zOxldy/Ldxyt3c7mKsk/r6lh9eaPqQE6F5XSobhLvkMSaTPSzVWZdMOTNBUXdaS4qGO+wxAREZFmzAoK6NFpj3yHISL1qLexZGbLgHRPPbm777vzIYmIiKRPuUpERJpKQ2eWnib9BCQiIpIPylUiItIk6m0sufsZOYpDRESkUZSrRESkqWRyn6VazGzv6I7kkkRVTQ01NTrQKSKST8pV0tzV1DhV1TX5DkNEUmhUAjGzQsLN+Q4DXmmgepuyeWsVH66t4LbnltG1pIjTRvVlty7FtCtsdLtUREQaQblKmruP12/hnvnv88HqzZw2qi/9e5XSuYNG0BVpTnbmaFudm/AJLF+9mS9d9yyxk0r3/Pt9nrj4SHbv2iG/gYmItE3KVdIsfbJ+C5NveJ6P1m8B4G+vlHPHWSMYs3+vPEcmIvF25nSH+pgl2FJZzR/mvUN877v1FVU8/fYn+QtKRKRtU66SZmnJJxu3N5Rirn9qCWs3b8tTRCKSzM40lnS0LoEB7ZN0t2vfrjD3wYiICChXSTNVVFh31ywqLKDAtMuKNCeNaiy5ezXQD3g9u+G0bMVFhXxn3ACK2+3YrLt2Lmb0vj3yGJWISNukXCXNWf+endi3V6ftrwsMpk0YSJcSXbMk0pxkfM2SmRUAg4EewKdAZbaDasl671LCk987kocXrqBLSTuOGbw7vToX5zssEZE2RblKmruenYu595yRPPP2Kj5Ys5lJB+2p65tFmqGMGktmdh5wBSH5QDTCkJk9BDzl7tdlOb4Wp7iokD7dOvKdcQPyHYqISJukXCUtRa/OxXz10D75DkNE6pF2NzwzOxu4FngIOIna/cCfBb6a3dBEREQyo1wlIiLZlMk1S5cA/+vu5wAzE6b9FxiYtahEREQaR7lKRESyJpPGUj9gdoppm4Bddj4cERGRnaJcJSIiWZNJY+lToG+KaQOB8p2ORkREZOcoV4mISNZk0lh6BLjczPrHlbmZ9QS+S+gfLiIikk/KVSIikjWZNJZ+DGwF3gDmEO6Kfh3wJlANXJn16ERERDKjXCUiIlmTdmPJ3T8FyoCrgSLgXcLQ4zcAo9x9XZNEKCIikiblKhERyaa07rNkZoXAUGCFu/8M+FmTRiUiIpIh5SoREcm2dM8sObAAOLgJYxEREdkZylUiIpJVaTWW3L0G+AAobdpwREREGke5SkREsi2TAR5uBi42s/ZNFYyIiMhOUq4SEZGsSeuapUhnYF9gqZk9DqwkdHmIcXe/oqGFmNlewO+AYwAjjFZ0sbu/n8a8HQh90L9OuLHgQuAH7v5Mkrq9o7rHAd2AFcC97v7DhtYjIiItVlZyFShfiYhIZo2lH8X9fVaS6Q7Um4DMrCPwFGFY19OjeX4OzDWzYe6+qYEY/gRMBKYBS4HzgNlmNsrdF8atpy/wPLAMuBD4mHCTwgENLF9ERFq2nc5VoHwlIiJB2o0ld8+ky14qZwP9gYHu/g6Amb0GLAHOBX6bakYzOwg4BTjL3f8clT0NLCLcN2NSXPU/EO7SPs7dK6Oyp7MQv4iINGNZylWgfCUiImR2zVI2TAJeiiUeAHdfRjiqNjmNeSuB++LmrQLuBSaYWTGAme0LTACuj0s8IiIimVC+EhGRnDeWhhDuqp5oETA4jXmXufvmJPO2Z0eXhdHRc4WZ/dPMtprZGjO7w8x6NDZwERFpU5SvREQks8aSmZ1jZq+a2WYzq058pLGI7sCaJOWrCRe1Nnbe2HSAPaPn24C3gS8CPyD0HZ9tZrluIIqISA5lIVeB8pWIiJDBNUtmdhpwPXA7cBDhy72I0N1gFXB3UwTYCLHkMs/dz4v+fsrM1hF1gQAeS5zJzM4BzgHYe++9cxGniIhkWQvKVdCIfKVcJSKSW5kctboYuBr4dvT6Jnc/nXABbAXwWRrLWEPyI3KpjsKlOy/sOGIXi+OfCfWeiJ6T3tnd3W9x9zJ3L+vVq1cDoYiISDOVjVwFzTRfKVeJiORWJo2l/YBngJro0R7A3dcAvwAuSmMZiwh9uRMNBhanMW+/aDjXxHm3Ae/E1atPTUNBiohIi5WNXAXKVyIiQmaNpQqgwN0d+IhwlC5mIzv6XtfnYWCkmW2fN7rHxOhoWn3+TuhKcULcvO2Ak4An3H1rVPxSFN+EhPm/ED3/O404RUSkZcpGrgLlKxERIbPG0uvsGMHnWeBHZjbKzA4DpgP/TWMZtwLLgVlmNtnMJgGzgA+Am2OVzGwfM6sys8tjZe7+KmEY1t+b2TfN7GhCn+5+xN1gMBqe9VJgopn9wcyONbPvADcB8wg3GRQRkdYpG7kKlK9ERIQMBngAbmHHEbqfAHOA56LXG4DjG1qAu28ys6OA3wF3AgY8CVzs7hvjqhpQSN3G3JmEbhQ/B3YB/gN8wd1fSVjP7WZWQxhV6ExC//C7gB9GRxtFRKR12ulcBcpXIiISWGO/i82sFBgFdARecPdPsxlYPpWVlfmCBQvyHYaISItkZi+7e1m+4wDlKhERSS7dXFVvNzwzW21mh0R/32Zm/WLT3H2Tu89x94dbU/IREZGWRblKRESaSkPXLJUCxdHfZwAap1RERJob5SoREWkSDV2z9B5wtpnFktDBZtYhVWV3fyZrkYmIiKRHuUpERJpEQ42lXxJG/TkdcMIIPclYNL0we6GJiIikRblKRESaRL2NJXe/zcweA/YH5gIXAm/mIjAREZF0KFeJiEhTaXDocHdfCaw0s9uBR919WdOHJSIikj7lKhERaQpp32fJ3c9sykBERER2lnKViIhkU72Npfg7kqfB3f1nOxmPiIhIRpSrRESkqTR0Zml6BstyQAlIRERybXoGdZWrREQkbQ0N8NDQfZhERETySrlKRESaihKMiIiIiIhIEmosiYiIiIiIJNHQAA81hP7d6XB3T3t0PRERkWxQrhIRkabSUMK4kvQTkIiISD4oV4mISJNoaICH6TmKQ0REpFGUq0REpKk06polM+tkZvuYWVG2AxIREckG5SoREdlZGTWWzOxLZvYKsA5YChwYlf/RzE5pgvhEREQyolwlIiLZknZjycyOB2YBnwI/ACxu8jLg9OyGJiIikhnlKhERyaZMzixdAfzZ3Y8Ffp8w7Q1gaNaiEhERaRzlKhERyZpMGkuDgPuivxNHHVoD9MhKRCIiIo2nXCUiIlmTSWNpPdAzxbS+wKqdjkZERGTnKFeJiEjWZNJY+ifwQzPbJa7MzawYOB94LKuRiYiIZE65SkREsiaTu5hfBswH3gL+QejecCkwDOgKHJ/16ERERDKjXCUiIlmT9pkld18OHAo8AhwDVANjgJeAz7n7iqYIUEREJF3KVSIikk1pn1kysy8Cz7j7N5owHhERkUZTrhIRkWzKpBveo0Clmb0MPBU9XnD3LU0SmYiISOaUq0REJGsyGeBhf+BC4D3gm8AcYI2ZPW1mV5jZmHQWYmZ7mdmDZrbOzNab2Qwz2zvNeTuY2W/MbKWZVZjZiw2t18xONjM3sw/TWYeIiLRoWclVoHwlIiKZXbP0jrvf7O5fc/fdCTf2mwZUAZcTjt7Vy8w6RvUOINxF/VRgP2CumZWmEcafgLOj9X0JWAnMNrPhKda3C+GmhB+lsWwREWnhspGrQPlKRESCTLrhAdsTyBHAOOBo4GDCfS2eTmP2s4H+wEB3fyda3mvAEuBc4Lf1rPcg4BTgLHf/c1T2NLAIuBKYlGS2XwP/ISSp8WnEJyIircBO5ipQvhIRETI4s2RmV5rZc7LQrQUAACAASURBVIQ7oD8IHATcD3wO6OHu6QzHOgl4KZZ4ANx9GfA8MDmNeSvZcWd23L0KuBeYEN1DIz7e0cDXgfPSiEtERFqBLOUqUL4SEREyO7P0Y2AzcB3wa3dvzF3QhwCzkpQvAk5IY95l7r45ybztgQHR35hZEXAL8Bt3f8fMGhGqiIi0QNnIVaB8JSIiZDbAw0XAE8BZwEozezm6ePWLZtYpzWV0JxztS7Qa6LYT88amx/wAKAauTjMuERFpHbKRq0D5SkREyGyAh+vd/StAT2AEcDcwCLgHWG1mzzdNiJkxswGEO7ifn8lQsWZ2jpktMLMFq1Y19kCkiIjkU0vJVdC4fKVcJSKSW5mcWQLA3R14A3gFeBX4L6E738g0Zl9D8iNyqY7CpTsv7Dhidx1hBKOXzGyXaISh9oBFr0uSLdzdb3H3Mncv69WrV0PvQ0REmrGdzFXQTPOVcpWISG6lfc2SmX0eOIowstAoQreBz4B5wO3A3DQWs4jQlzvRYGBxGvNOMbOOCf3ABwPbgHfiXu9D8mS2BrgWuDiNWEVEpIXJUq4C5SsRESGzAR6eA9YCzwCXAnPd/fUM1/fw/2/vzuPkKOr/j7/eyWZzkxAg4SbcyCVIVPiCnHIpcogIyCGoKCAq+lW/IIiI4E/kFlBuUEEOUU4v7kMlYgQ5goQrQVACCbmvzfX5/VE1ZDLpPbLZndmdfT8fj37MTnV1d1XX7NRUd1U1cL6kDSLiNQBJI4Ed8z5bcg/wfdLA2p/nbRuAQ4H7IqIpxzsM6Fex7SnAdnlbP+zPzKx+dURdBa6vzMyM5WssjQKezl0b2utq4CTgLkmnAwH8AHgDuLIUSdJ6wKvAWRFxFkBEPC3pVuDiPHvQeOAEYH3giNK2ETG68qCSjgGaIuKRFUi7mZl1fR1RV4HrKzMzY/kmeHhqRSufiJhN6h7xEvBL0sDb8cDuETGrLKqA3gXpOxa4Hjgb+B2wDrBPRDy1IukyM7P60BF1Vd6P6yszM0MdUKfUnVGjRsWYMWNqnQwzs25J0j8iYlSt01HvXFeZmbVfW+uq5Z4Nz8zMzMzMrCdwY8nMzMzMzKyAG0tmZmZmZmYF3FgyMzMzMzMr4MaSmZmZmZlZATeWzMzMzMzMCrixZGZmZmZmVsCNJTMzMzMzswJuLJmZmZmZmRVwY8nMzMzMzKyAG0tmZmZmZmYF3FgyMzMzMzMr4MaSmZmZmZlZATeWzMzMzMzMCrixZGZmZmZmVsCNJTMzMzMzswJuLJmZmZmZmRVwY8nMzMzMzKyAG0tmZmZmZmYF3FgyMzMzMzMr4MaSmZmZmZlZATeWzMzMzMzMCrixZGZmZmZmVsCNJTMzMzMzswJuLJmZmZmZmRVwY8nMzMzMzKxA1RtLktaRdLuk6ZJmSPqtpHXbuG0/SedJekvSXElPSNq5Is4mki6R9KykWTnu3ZLe3zk5MjOzeuT6yszMqtpYkjQAeAjYDPgscBSwMfCwpIFt2MW1wHHAGcB+wFvAnyRtUxZnL2A34OfAJ4ATgdWA0ZK266CsmJlZHXN9ZWZmAA1VPt5xwAbAphHxCoCkZ4GXgS8BFza3Yb7S9hngcxFxfQ57FBgLnAXsn6PeAlweEVG27UPABOBrwNEdm6UVN2/hPGbMn0FE0K+hH0P6Dql1kszMejrXV2Y11rSwienzp7M4FtOvdz+G9hta6yRZD1Ttbnj7A6NLFQ9ARIwH/gIc0IZtFwC3lm27kFTZ7C2pbw6bXF7x5LDpwEvAWh2RiY40o2kGt790O/vdsR8fvf2jfOfP3+Hdue/WOllmZj2d6yuzGpo5fyb3vnYv+9+5P3veviffevRbTJ47udbJsh6o2o2lLYDnC8LHApu3YdvxETGnYNtGYKPmNpQ0DNgS+Ffbk1odk+dO5ty/n8vchXMBeOzNx7jlxVtYuHhhjVNmZtajub4yq6FpTdM484kzmb1gNgCjJ47m2ueupWlRU41TZj1NtRtLw4CpBeFTgJVXYNvS+uZcCgi4uLUEVtvYd8cuE/bEW0+89+VgZmY14frKrIZemfrKMmFPTnyS2fP9+8iqq+6nDpd0Kqnv+Enl3SkK4n1R0hhJYyZNmlS19G2xyhbLhG2/xvYM7NOW8cNmZlYv2lJf1aquMqu2jVZe9gbsB0d8kIGN/n1k1VXtxtJUiq/INXcVrq3bwpIrdu+RdDzwQ+D0iLiupZ1HxFURMSoiRq222mqtJKXjrNp/Vb79wW/Tr3c/AHZaaycO3+xwGnpVe+4NMzMr0yXrq1rVVWbVNrTvUM7Y4QwGNAwA4EOrf4gvbP0F+vbuW+OUWU9T7V/kY0l9uSttDrzQhm0PkjSgoh/45sB8YKmrcJKOAn4KXBAR57Q/yZ1rpb4rccgmh7D3yL1ZHIvp39Dfs+GZmdWe6yuzGhrcOJj9N9ifXdbexbPhWU1V+87S3cD2kjYoBUgaCeyY17XkHqAPcEjZtg3AocB9EdFUFn4QcD1wTUR8s6MS31n6NfRj+IDhrD5wdTeUzMy6BtdXZjXWt6Hve7+P3FCyWqn2naWrgZOAuySdDgTwA+AN4MpSJEnrAa8CZ0XEWQAR8bSkW4GLJfUBxgMnAOsDR5RtuzNwM/AMcIOk7cuO3xQRT3di/szMrD64vjIzs+o2liJitqTdgYuAX5Jm/HkQODkiZpVFFdCbZe98HQucA5wNDCVVMPtExFNlcXYH+gIfID0Po9zrwMgOyYyZmdUt11dmZgagiufhGTBq1KgYM2ZMrZNhZtYtSfpHRIyqdTrqnesqM7P2a2tdVfdTh5uZmZmZmbWHG0tmZmZmZmYF3FgyMzMzMzMr4CefdgHvzJjHfS9MZOL0eRy83dqMWKkfAxpdNGZmZtZzTZrZxIMvvs0bU+Zw0LZrs8aQfgzs699HVl2+s1Rjk2bO47CrR/OXV95l8sx5HHXtk7w2aXatk2VmZmZWM5NmNnHUtaN5+MV3eHdWE8fe8CQv/HdGrZNlPZCb5zU2YfJsfnXougx54Vc0zpnI1IOP4c9vTmTkKgMY1K9PrZNnZmZmVnUTp8/juoPXZei4W+k38w2mHHgUf33nHaaPGMSQAY21Tp71IG4s1dgWQ5oYcN0+MOttAFZ95kb2OPxeyh4ab2ZmZtajbDRwDv1v+ARMfwNIv492O+Q26LVhjVNmPY274dVYv7effq+hBEAEg/92IQNjbu0SZWZmZlZDjVNffq+hVDJ49AUMXjyrmS3MOocbSzWm3st2tYvefUCqQWrMzMzMaq93we8jevcB/zyyKnNjqca05jaw8sglAb16o11Phb6Da5YmMzMzs5paZUNYdeMl79ULdv8u9F+5dmmyHsljlmpt0HD43H0w7vcw4y14/6EweI1ap8rMzMysdgYNh2N+By/fD1PHw1aHwkpr1TpV1gO5sdQVDB4Bo46tdSrMzMzMuo5BI2DbI2udCuvh3A3PzMzMzMysgBtLZmZmZmZmBdxYMjMzMzMzK+DGkpmZmZmZWQE3lszMzMzMzAq4sWRmZmZmZlbAjSUzMzMzM7MCbiyZmZmZmZkVcGPJzMzMzMysgBtLZmZmZmZmBdxYMjMzMzMzK+DGkpmZmZmZWQE3lszMzMzMzApUvbEkaR1Jt0uaLmmGpN9KWreN2/aTdJ6ktyTNlfSEpJ0L4vWSdKqkCZLmSXpG0sEdnxszM6tXrq/MzKyqjSVJA4CHgM2AzwJHARsDD0sa2IZdXAscB5wB7Ae8BfxJ0jYV8X4AnAlcBuwLjAZ+LeljHZCNLmXmvAX8e8ocHvjX27wxZQ4z5y2odZLMzLo911dmPdvUOfN56e2ZPPTi27w1fS7zFiyqdZKsRhQR1TuY9DXgQmDTiHglh60PvAx8OyIubGHb9wP/BD4XEdfnsAZgLDAuIvbPYcOBN4AfRcT3yrZ/EFgtIrZuLZ2jRo2KMWPGtDOX1dO0YBF3PP0ffvboq3xwvZX5++tT+fJuG3HANmvSt6F3rZNnZj2UpH9ExKhap2NFdIf6qrvUVWbdzfQ587nwgZf5x4QpbLL6YP7y8mQuP+IDjBo5rNZJsw7U1rqq2t3w9gdGlyoegIgYD/wFOKAN2y4Abi3bdiFwC7C3pL45eG+gEbixYvsbga1yZVcXps1dwPtWX8zVx67B/2z5L64+dg02Gb6IaXN8d6keTZ71Nk+88Si/f/lO3p71X+bPn1frJFmdmTLrHcZNfoE7XryV16a8xLRZk2udpFpyfWXWQ81uWsjROwzhnEMGsPPW47jtyxsxc+40Js9qqnXSuoyZc6byxvQJ3PnibTw78SnenfV21Y49b/4cJs78D7976Q5Gv/E4k2dN7NTjNXTq3pe1BXBXQfhY4JA2bDs+IuYUbNsIbJT/3gJoAl4piAewOTB+OdLcZTVqLk9NvZ8LH/7Je2Hf3PZrrDfsU0C/2iXMOtzkWRM5/qGTGDd1HAADGgZw28dvZr3GDWqcMqsXM+ZM5dZxN/PT5695L+yMD57KfhseQP++bel1VndcX5n1UH16z+Qnz1zM717/EwC91Iuf7voTGnutVeOUdQ2LFy3i2Xef5cSHv8riWAzAfiP34dvbfZOVB43o9OP/d9abHPaHI5m7cC4AWw7bgkt3u5hVB63eKcer9p2lYcDUgvApwMorsG1pfel1Wizbv7AyXre3QHP56XNXLRV2+XNXsYDK+tm6u3FT/vVeQwlgzsI5XPHslcyeN6OGqbJ6MnfRXK564Yalwi7652XMXDC9NgmqPddXZj1UE03vNZQAFsdizn3qAuYvereGqeo63p3zNj8ac/57DSWAeyf8kTmLO//O24w5U7n0mcvfaygBPD9lLBOmd951JU8dnkn6oqQxksZMmjSp1slpk8URzFu0dFeseQvnUcVhaFYl0+Yt+7trStM0Fi5yl0vrGItiEQsXL1wqbPbC2TVKjTWnO9ZVZt3N/EXLdnOf0eSLkyUBzJi/7PmYv6jzG0sLF89nWkFZFP1O6ijVbixNpfiKXHNX4dq6LSy5EjcVGCpJrcRbSkRcFRGjImLUaqut1kpSuob+vfqw81ofWSpsl7U/Qr/efWqUIuss262xPf0b+i8VdvSmhzNk4Co1SpHVm75q5IMjlh7nuve6e9KoxhqlqOa6ZH3VHesqs+5mpT4rsc7gdZYKO2Sjg1ip39AapahrGdw4hE9teOBSYesOXpdBfQZ1+rGHDRrBkZseulTYoD6D2HrEtp12zGqPWSr10a60OfBCG7Y9SNKAin7gmwPzWdLneyzQF9iQpfuBb55fWztOtzFk4HDO2uFMfj3uVka/8w92GL4dn9rsUIYMcAVab1buO4zbPn4zVzxzJVPmT+PoTQ9ni2FF/0pm7bPK4BH8+CM/4pZ//Yoxk5/hI6tvz4Ebf5KhA1etddJqxfWVWQ+16qDVuX6va7juuWt5afprfHzdPdlj5J409hlQ66R1Cf37DuSI9x3BGgNG8Lt/38+mQzbg2K0+z2qD1qjK8T+w2ge4dJcLueml21i13yqcsPWXGNq383otV3vq8JOB84FNIuK1HDaSNBXrKRFxQQvbbgs8BRwTET/PYQ3Ac8ArEfGJHDYceBM4JyK+X7b9A8CIiNiqtXR2t+lYFy6cz+ym6QzsO4SGhh57FbhHmDV3OosWL2BIz/0Ba51s3vy5zJk/k0F9h9DYp2/rGxSok6nDu3x91d3qKrPupmnBHJrmz2ZQv2H06u1HslRatGgh0+dOoX+fgTWZCGja7Mk09GpkUP+V2rV9W+uqat9Zuho4CbhL0umkbo8/ID1n4spSJEnrAa8CZ0XEWQAR8bSkW4GLJfUhzRB0ArA+cERp24h4R9KFwKmSZpIqrEOB3UnTudadhoZGhjT4blJPMKj/kFonwepcv8b+9Gvs33rE+uf6yqyH69tnAH19N6lZvXs3MGzQ8Jodv1o9H6raWIqI2ZJ2By4CfgkIeBA4OSJmlUUV0Jtlx1QdC5wDnA0MBZ4B9omIpyrinQbMAr4GrA6MAz4dEfd2bI7MzKweub4yMzOocje87sJdG8zM2q8euuF1B66rzMzar611lacONzMzMzMzK+DGkpmZmZmZWQE3lszMzMzMzAq4sWRmZmZmZlbAjSUzMzMzM7MCbiyZmZmZmZkVcGPJzMzMzMysgBtLZmZmZmZmBfxQ2gKSJgGvt3PzVYHJHZic7sB57jl6Yr6d5+W3XkSs1lGJsWK5rpoGTK9YNaQgrJaf46L0VHNfbd2mtXgtrW9uXVF4vZZPPZRNUXg9lE1799XVyqej/3faVldFhJcOXIAxtU6D8+w8O9/Os/PcMxbgqjaG1axMi9JTzX21dZvW4rW0vrl1Pal86qFsisLroWzqpXxq9b/jbnhmZmbd1z1tDKuljkxPe/bV1m1ai9fS+ubW9aTyqYeyacuxqsn/O8t3nE7hbngdTNKYiBhV63RUk/Pcc/TEfDvPVg9cpl2by6frctl0bdUoH99Z6nhX1ToBNeA89xw9Md/Os9UDl2nX5vLpulw2XVunl4/vLJmZmZmZmRXwnSUzMzMzM7MCbix1AEnrSLpd0nRJMyT9VtK6tU5XSyR9StJvJL0uaa6kcZL+n6TBFfFWlnSNpMmSZkt6QNJWBfvrJ+k8SW/l/T0haeeCeL0knSppgqR5kp6RdHBn5rUlkv4oKSSdXRFed/mW9DFJj0malT+nYyTtXra+rvIsaUdJ90l6R9JMSU9J+lxn50XScZJelNSU/6+O76T8rS3p0pzmOflzPLIgXs3yKOlASU/n/b0u6XRJvVc072ZmZlVTzSkQ63EBBgAvA88DBwIHAM8BrwIDa52+FtI9GrgNOALYBTiZ9LyO0UCvHEfAn4E3gcOBfYBHSfPZr12xv5vy9scBewC/BeYC21TEOwdoAr4J7AZcCSwGPlaDc3A48BYQwNll4XWXb+BLwALgImBPYG/g/4D96jHPwNY5TQ/n/8k98/EDOKGz8pL3szjH3w04O78/oRPyuCvwNvB74E85byML4tUkj/kztojUn3w34BvAPODcanzmvSz35+m7wEu5LA+sdXq8LFU2KwP35vJ5BrgP2KjW6fLyXvncCjwLPA08CexR6zR5WaaMjs11ZLu+22qege6+AF/LPwg2KgtbH1gIfKPW6Wsh3asVhB2dP0y75/cH5Pe7lcUZAkwBflIW9v4c79iysAZgHHB3Wdjw/GPs+xXHfRB4tsr5XxmYSGoYVDaW6irfwMj84/jkFuLUW55/CMwHBlWEPwE80Rl5ydu+A/y8It51pEZnnw7OY6+yv79AQWOplnkk/XB4tCLeGblcVu/sz4CX5f48bQ9sADyCG0tdagGGAh8te/9V4JFap8vLkvIp+3vbXG/2qlV6vCxTPiOBv+b6v13fbe6Gt+L2B0ZHxCulgIgYD/yF9AO0S4qISQXBf8+va+XX/YH/RsTDZdtNJ81zX563/Ul3LW4ti7cQuAXYW1LfHLw30AjcWHHcG4GtJK3fvty0y7nA8xFxc8G6esv350hXi69oIU695bkxp3NuRfh0lnQ/7ui87ACsVhDvl8AqwE7tzUyRiFjchmg1yaOkdYBtmonXB9i3DWm3FrS1G2aO22pX8YgYHRGvVSPtPUFHlk9ETIuIB8o2+SvpB6C1Qyf870wrezukE5Ne9zq6bCT1Aq4BvkK6INgubiytuC1IXfAqjQU2r3JaVtQu+fVf+bWlvK0raVBZvPERMacgXiOwUVm8JuCVgnhQpfMlaSfSXbQvNxOl3vK9E/AicJikVyUtlPSKpPL811ueb8ivP5G0pqShkkrd0C4qS2NH5mWL/Fp5Hqv6+a5QqzwWxssXkubQ/b4bu6KNgE8DU4HHm4skaQDwELAZ8FngKGBj4GFJA6uQzp6qM8vnZOCuDk1tz9LhZSPpIkmvAb8BDm7jxSxbVkeXzTeAv0TEP1YkUQ0rsrEBMIxUqJWmkLp6dQuS1gLOAh6IiDE5eBgwoSD6lPy6MjCLls9BaT+l12mR74u2EK/TSGokjcU4PyLGNROt3vK9Zl7OA75DGk93CHCZpIaIuIQ6y3NEPC9pV+AO4MQcvAA4PiJuKUtDR+al9Fq5z6p9vgvUKo/NxSuF1eJc1JvHImIEgKQvAHs1E+84Uve6TUs9ICQ9Sxpr+yXgwiqktSfqlPKR9L0c/4udlO6eoMPLJiK+Dnxd0j7AjyXtGBHzOzEP9arDykbSlsDBwDITGi0v31ky8l2Du0jjrI6tcXI627eB/qTB6T1FL2Aw8KWIuDoiHoqIE4A/AqdKUm2T1/EkbUy6wjcW+ATwUVI3xCskHVHLtJl1hOW4ct0tu4p3d51RPpJOBz4G7Ftwt9jaqDP/dyLij6SLi8vMJGut6+Cy+Qipu+rLkiaQxmVeJemk5U2XG0srbirFd5Cau6LbpUjqTxqXsgGwd0S8Wba6pbyV1rcl3pSyeEMLfpxXxusUuS/raaRZn/rmrllD8+rS+97UWb6Bd/Pr/RXh9wEjgDWovzz/kHQnab+IuDciHoyIr5JmgLwk92Pu6LyUzlHlPquV5yK1ymNz8UphtTgXPVU9dRWvR20qn3xH6RPAXnk8qXW+VstGUv/yMbiSdiCN3/T4v87VatlExM8iYo2IGBkRI0mzPX8xIi5b3oO5sbTixrKkf365zYEXqpyW5SKpD3A7MIo0PfBzFVFaytu/I2JWWbz1cx/SynjzWTIOYizQF9iwIB50/vnaAOhHGnQ+tWyBNF3yVNLVoHrL99hW1i+m/vK8FfBMRCyoCH+SVJENp+PzUjrPleexWnkuUqs8FsbLA3UH0MW/G+tMm7qKSzpT0pukSTyukfSmpLWrlMaerNXykbQFcCbpu+tRSf+UNKZgG+tYbfnf6Q/8StLzkv4JnE8as9TlL5Z3c1UdAuPG0oq7G9he0galgPyDYMe8rkvKV9ZvAnYnTaU4uiDa3cBaknYp224l0tWt8rzdQ5rh6pCyeA3AocB9EVGageSPpKv9ld2gjiTNTDd+hTLVun+SnvdSuUBqQO1G+vFYb/m+I7/uXRG+D/BmREyk/vI8Edgmj1Er92HSs36m0PF5eYI0fXZRvCmk7gHVVpM8RsS/Sc+DKYq3APhD+7NknSEizoyItSOib0Ssmv9+s/UtrbNFxNiIUERsFBHb5GVUrdNlEBFTImKHiNgyl8uOEfFQrdNly4qIXSPizvZs6wkeVtzVwEnAXbk/cQA/AN4gTSTQVV1O+gF1DjBb0vZl697MleTdpB9HN0r6FqkVfyrpAaY/LkWOiKcl3QpcnO9WjQdOID1v6oiyeO9IupA0TmYm8BTpR9vupP6nnSpP7/lIZXjuefR6RDyS39dVvkkPLX0YuFLSqqTuAYeQBk6WxqjVW54vA34N3CPpp6QpxPcnPVfrojzwtkPzEhELJH0X+Kmk/wAP5DifA77SGYN9JX0q/7ldft1X0iRgUkQ82tHltZx5/A5wr6QrgZtJzx85HbgkN9CtOrp1V/EewOXTdblsuq7qlk10gQdGdfcFWJc0mHwGMBO4k4qHQ3a1hTTzWTSznFkWbxjpgZNTSFP+Pgi8v2B//Ukzw0wkXbn/G7BrQbzepB9Mr5OmKn4W+FSNz8VSD6Wtx3wDK5EayG+Tul89C3ymzvO8L6lxPCn/X/6TNDNe787MC2kmnpdyvJeBEzv5s1u0PNIV8gh8knSHqQn4N+mhtL1XNN9eljnPhQ8lzuseAv5cEP4IFQ8N9uLy6WmLy6brLl2pbJR3bmZmZt1QnmL3amD9iJhQse5k0jiKTSI/dDZ3FX8ZOCUiLqhqYnsgl0/X5bLpurpS2bixZGZm1g2VdcPcAziedOf0vW6YOc5A0t29uaQ7h6Wu4oOBrWPJ5C3WwVw+XZfLpuvqimXjxpKZmVk3JKm5CvzRiNi1LN66wEXAnqRxiA8CJ1derbWO5fLpulw2XVdXLBs3lszMzMzMzAp46nAzMzMzM7MCbiyZmZmZmZkVcGPJzMzMzMysgBtLZstB0jGSQtJGtU5LayStKekeSVNzmk+q0nF3l3RmNY5lZmZm1pncWDKrX2cCOwHHADsAv67ScXcHvlelY5mZmZl1moZaJ8DMliapb0Q0dcCu3gc8HRF3dcC+aqoDz4mZmZlZm/nOknV5ks7M3cg2lvQ7SbMkvS7pDEm9cpxS97iRRdtWhIWksyX9b97PnLzf4Xm5TdJ0SW9I+r9mkrWmpDtzWt6VdLmk/hXHGSDpXEnjJc3Pr6eV0pzj7JrT80lJV0uaBLzdyvlQTvtLkpok/VfSpZIG5fUb5TzvBOyW9x+S1m5mf6dKmidpaMG6cZJ+U/Z+LUk3Spqct3lG0mfK1p8NnFZ2nkPSwrL1gySdJ2lCPievSTpFksrifDRvd6Ck6yRNBv6T122Wz/s7+fj/zuXl7zIzMzPrcP6BYd3JHcBDwIHAncD3gc+2c19HkbqLnQicBHwE+EU+xrPAwcDvgR9J+ljB9jcCrwCfJD0U7TjgZ6WVkhqAPwFfAC4B9gWuAb4LnFewv0tJD1U7itRtriXnAucDfwQ+kf/+HHBvbjS8Qep2Nxb4e/57B+CdZvZ3E9AIfLo8UNKHgU1I5wVJg4FHgb2AU4GDgBeAmyR9Lm92BXBD/rt03B3z9n2A+4BjSedsX+B6Ujn+qCBdlwMLgSOAz+ew3wOrAycAewOnAAtI587MrFN4vGqbjtslx6tK+nC+KLpGWdibkq6pZbo6k6QvtHSRtIXtBkh6W9InOytt3VJEePHSpRfS2JsAjq0Ifw64L/99TI4zsmjbirAAXgIaysIuzOGnl4U1kBoY15eFlY5zRcU+TwMWAZvk90fleDsXxJsPDM/vd83x7mjjuVgtb39NRXgpXR8rCxsNPNDG/T4MPF4RdhkwGeiT35+cj7FTRbxHgLeAXvn92ZXnPIcfm7f/n4rw7wFNwCr5/UdzvF9XxFu9Mo9evHjxA+VkoAAAC15JREFUUo2l7Dt2o1qnpQ1pvQqYChwAbA+MqNJxC7/7a70AjwEXV4S9WVmP1tNCulAbwNrt2PZbwLjy30g9ffGdJetOflfx/nlg3Xbu6/6IWFj2/sX8+qdSQF7/CrBOwfa3Vby/hXSn9kP5/T7A68BfJTWUFtKdlT6kCqzcHeVvcle7hrKld161Q97+xortbwYWA7sU5nbJfhsq0lPyC2BHSevneH2AQ4FbI2JBjrMz8HpE/LlitzeSGjKbtnRs0jl5FXiy4Jw0Ah+uiH9Hxft3SOf0x/mqWZe/wmtm1laS+nbQrt4brxoRoyOixa7dXdmKnpPcQ+IjlPX8sFZdB6wP7F/rhHQVbixZdzKl4n0T0K+d+5pa8X5+C+FFx6isfErv18qvw4H1SF3Eypcn8/pVKrZ/q+L9HhXblSY3GFYUP9LkB1PL1i8jNy6WSk/ZLfrfAPOAI/P7fYFVyV3wyo5dmU6AiRVpa85wYMPKNAB/zetbPCcRsZh0Xp4mdUV8WdKrkr7YynHNrJtRG8aq5nger+rxqi35AvBURIxrJR6Stpf0oKTZuXzvlzSqIN438udnrqTRSt38Wu3WJ2klSZflz1eTUne3+yVtUhanQdJ3JP0rx5kk6Q+lOJL6S7pE0ticzrck3S2ptYuVpf0fL+nZfA4n5c/eUuUfEe8CD+RzZ3g2PKsf8/JrY0V45Q/wjjKCNCao/D3kL3bgXWA8FeOAykyoeB8V7/8GfLBgfanBuDrpNjkAkhqBlVm2QVnujYp9Qq6cI2KGpLtIjaUf5NeXI+JvZXGnANsW7Hf1irQ1513SnbrDm1k/vuJ95TkhIl4FjsoV5PuBrwJXShofEfe3cnwz637uII1tvIg0RvP7pO+y69u5v6NIvRJOJH1vX0y6KDQY+AOpC9shpPGqz0XE7yu2v5HUs+CnpJ4EZwADyWNNtWS86uak79LnSD0Jvku6oPS/Ffu7NB/3KFq/+HcuqYvUpcC9wJb5GFtJ2p0l41WvAeaQvh+h5fGq55DqqatKgVoyXvXb+X1pvOpKpPGqbwJHk8ar9ouI60jjVddiyaMqIH+Ha8l41U1yep8H/odUlisDlQ3Ty0k9SY4oOye/z/k4gdQ9fC3g47Q+XnVv4LetxEHStqQu5c+xZCz0qcBjkj4UEc/neMcDFwBXky4ybgTcSjo3rbmE1MPiNFJduArprteQsji353xdRBqj3Y/UXX910vCB/nk5i3ShchXgy8ATkjaLiObKGknnA18jfea/CaxNKv8tJO2UL0iWPAZ8T1JjRMxfdm89TK37AXrx0trCkjFLDRXhNwAT8t875DifLFvfQGpQRMV2AZxdEXYMBf3RSV+efy6I19yYpY3L4i0ANmslb7vm/X20jeeiNGbpZxXhn8372bcsrM1jlnL8ffM+9gLmAt+tWP+1vP7DFeEPsfSYpe/meP0r4n2BdIds41bSURqztGsb0jwsx/16rT+nXrx46biFNoxVze9L38kji7avCPN41WX3W7fjVUkNqmU+Q3ndUmOWSJNGTQFWKgsbCkwDbsvvewP/Be6u2Nen83FaHANF6u7/4xbW75X3c+Jy5LE3qbE+B/hKWfhSY5ZIvToWAd+p2H6XHG+/ivC9c/iHluec1+vibnhWL/5OGg9znqRPSfoEcA/QUX3AK30sdynYU9JppC/9X0TEy3n9TaTuZQ/mW/Z7SNpX0kmS7pM0oD0HjYhJpKtCX5J0oaS9JH2ddCXuUcrGXLXDfaQ7TdeRztsvK9ZfRzrHd0r6fM7PTcBuwGmx5KrUC/n1m7l7wnb5/S9I5fSwpJPLzslXcleEFstK0gdyF4kv5e4ae5OuZi4gVfhmVn86cqwqeLxqTxqvumZ+ndSGuDuTGkEzSgERMY10B690btcD1mDZB7zfQSqD1vwd+HzufrhdQRfCvUgNmmtb2omkwyQ9KWk6acbYWaS7TS2Vw16kz+lNFWXwF1JDa+eK+KVztibmxpLVh1y5HUDqhnADqfFwP0umse5oR5K6FNxB6lZxNalbRyk9C0hXZq4GvkjqQnAT6Q7QX1kyRqo9/o/UPWI/0hf5t0hdUvaLpW+jL5eIWESqeNci3U2bULF+JqnSeBD4MelK3JbAEZG6YZTcBVxJ6gLyBKlLIZFu5e9JanSdQDonN5LO5Z9JjZ6W/JfUzfGbwN05rcOBj0fEP9uTZzPr8jpyrCp4vGpPGq9aKr8WH2guSaTugM3lsZS/0tTjS3V1y/V9a93QIf1GuJr0qJExwDuSLtCSMW+rAJOjhQewSzqIVPc9T+rS/mFS9/optPx/MTy/TmDZchjAsmUwN7/2xzxmybq+iDiT1KWiMvyYivdjSV0bKp1ZEW+ZPs4RcQMFDauI2LWFeI8Vp/i9uPPysc9sIc4jLOczgiLdIz8/Ly3Fq7yC2ZZ9fx34egvr/8OSSrW5OAuB4/NSuW4uqY//GS1s/wAF5yQiJpL6yZuZlXi8qserNjde9d38unJLiYuIkDSVJfkptzpL8ldqTA0vj5DvxrXWYCxdcDwFOEVpQpJDgP9H+gyfRur6uKqkvi00mA4DXoyI0rMNkdSP1GWwJaVzsQcwo2D95Ir3w5oJ75HcWDIzM7Pu6vX8uiVpPFJpkoW9Oul4nyaN0yw5jNQFq9S4+CPpoeazIuJFllP+QT2mYNUTpLsAh5G6XJccTuol9EgL+2xqZp8lvwAOk7QXaRKNH1asfxQ4SNKHKxpRnyHdeSk13pogzdiWL4yVlB6gPr2sq3q75LtMT0v6X9J4rS1JvUiKvEa6Q7hBG3b9KLCfpIERMRtA0hDSZAv35TivkxpMh7B0N/VPspw9tXLPjfMkHZXzQD7ON0kPmW9uqvMBpK535Y5uw/HvIzVC14mIn7chievn11ZnEewJ3FgyMzOz7qp8vGov0g/2E+nk8aqkH58foni86rGk8aoXAM+Q7nptSHpuzYERMWd5DxoRkyRdTBoLOpfUANmCdDeoGuNVv0Iar3o6qUv0kaTxqp9vZrzqfcDCiPgHqTF2DGm86vmkSToaSTPJ7U/qQt5S17MPAOeRxou9SprU4PO0Ml41IuZJ+jtLxpO15CxSg/SBXL4i3QXqSzrHRMQiSWcBP5N0JakL48akbvEzaWXckqS/kWbmex6YTTp/W5C6rRMR90u6E7hE0no5b42kHjN3RsTjpHK/LJ/HP5DuGJ5E8d2i8nPxUt7mZ5LeR+oZ00Qal7cXadKox8s2+TBpnNq/W9pvT+HGkpmZmXVLEbFQ0gGkcao3kLpMXUy60/O9TjjkkaRxqieQ7lpcTbobUErPgjz5zCmk8arrk34Yv0qarGJFx6u+k/d7EqmL1PXAqSs6XlXSzaRZ7x4vGq8qaRfSeKEfA4NIE2McERG/KotaPl71+6TGQ0NEzJe0J2kq7hOAkaRJCV4hjV1dnvGqa5G6rT1L28ar3gqcU3C3q/IcPC1pN9JU2r8k3YUZTZrV8PmyeFdIGkiaHfazpIbfZ0iNmOmtpOVx0p3BDUgNvteAr0XE5WVxPk367BwNfCPv828sGR9WPkX7iXndx1l2IpSiPH5b0ti83VdJk0m8QRqH/GpF9I+TJi8xQGn4g5mZmZlZ/VB64OobwHER0Sk//iVtT7or9ZmIuLkzjlFNknYk3a3cJCJeq3V6ugI3lszMzMysLkn6HnAg8IFYwR+9kjYkTV70OKnr3RakO2ZzgK3yxE7dmqR7gLciorXZBnsMd8MzMzMzs3p1Xn4dwZLubO01F9ia1A1uKGna9vuAU+qkoTSANBnIFbVOS1fiO0tmZmZmZmYF/FBaMzMzMzOzAm4smZmZmZmZFXBjyczMzMzMrIAbS2ZmZmZmZgXcWDIzMzMzMyvgxpKZmZmZmVmB/w8P5Y69L1mWtwAAAABJRU5ErkJggg==\n",
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+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "for var_pp in df8_QV['variance-of-pp'].unique():\n",
+ " WL_vs_num_voters(df8_QV[df8_QV['variance-of-pp'] == var_pp], \"QV wellfare loss vs n voters (variance-of-pp={})\".format(var_pp))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "## Wellfare loss of QV vs variance of perceived pivotality"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 59,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "def plot_WL_vs_variance_of_pp(ldf, n_voters_list, title):\n",
+ " pdf = ldf[ldf['number-of-voters'].isin(n_voters_list)].copy()\n",
+ " pdf['n_voters'] = pdf['number-of-voters'].apply(lambda n: \"=\" + str(n))\n",
+ "\n",
+ " ax = sns.scatterplot(x=\"variance-of-pp\", y=\"wellfare-loss\",\n",
+ " hue=\"mpp-str\",\n",
+ " style=\"n_voters\",\n",
+ " legend='full',\n",
+ " data = pdf)\n",
+ " plt.title(title)\n",
+ " ax.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
+ " plt.show()\n",
+ " \n",
+ "plot_WL_vs_variance_of_pp(df8_QV, [11, 101, 501], \"WL vs variance of percieved pivotality\")\n",
+ "# 1001, 10001"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "# WL - QV Right Direction Random Magnitude results"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "## QV-RDRM Normal Distribution"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "### The Data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 36,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "0.27814285714285714"
+ ]
+ },
+ "execution_count": 36,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df9 = pd.read_csv('2020.07.10 QV-right-direction-random-magnitude-normal-dist.csv')\n",
+ "df9['wellfare-loss'] = 1 - df9['mean payoff-sign-list']\n",
+ "df9['wellfare-loss'].mean()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 40,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "0.2779999999999999"
+ ]
+ },
+ "execution_count": 40,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "x = .87\n",
+ "1 - (.8 * x + .2 * (1-x))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "### The graph\n",
+ "The reason that this is slightly worse than 1p1v is:\n",
+ "When the median and mean of the utilities have the same sign, 1p1v maximizes welfare. With a normal distribution, this is about .8 of the time. When they are oposite, 1p1v doesn't maximize welfare. So, 1p1v has WL of about .2 for normally distributed utilities. \n",
+ "\n",
+ "QV-RDRM acts like 1p1v but with noise. With a normal distribution, that noise is bad 80% of the time when the mean and medians are the same, because the noise either does nothing, or flips the outcome incorrectly. The noise is good the other 20% of the time. So on the whole QV-RDRM does worse than 1p1v on a normal distribution. "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "No handles with labels found to put in legend.\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "mean wellfare loss: 0.27814285714285714\n"
+ ]
+ }
+ ],
+ "source": [
+ "f, ax1 = plt.subplots(figsize=(4, 3))\n",
+ "sns.scatterplot(x=\"number-of-voters\",\n",
+ " y=\"wellfare-loss\",\n",
+ " data=df9,\n",
+ " ax=ax1)\n",
+ "\n",
+ "ax1.set(xscale=\"log\",ylim=(0,1))\n",
+ "ax1.set_xlabel(\"Number of Voters (log scale)\", fontsize=12)\n",
+ "ax1.set_ylabel('Prop8 WL', fontsize=12)\n",
+ "ax1.tick_params(labelsize=10)\n",
+ "\n",
+ "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
+ "# plt.savefig(\"figures/sQV_WL_vs_n_voters_prop8.png\", bbox_inches='tight', dpi=300)\n",
+ "plt.show()\n",
+ "print(\"mean wellfare loss: {}\".format(df9['wellfare-loss'].mean()))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "## Prop 8 "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "### The Data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 59,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "0.28400000000000003"
+ ]
+ },
+ "execution_count": 59,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df10 = pd.read_csv('2020.07.10 QV-right-direction-random-magnitude-prop8.csv')\n",
+ "df10['wellfare-loss'] = 1 - df10['mean payoff-sign-list']\n",
+ "df10['wellfare-loss'].min()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "No handles with labels found to put in legend.\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "f, ax1 = plt.subplots(figsize=(4, 3))\n",
+ "sns.scatterplot(x=\"number-of-voters\",\n",
+ " y=\"wellfare-loss\",\n",
+ " data=df10,\n",
+ " ax=ax1)\n",
+ "\n",
+ "ax1.set(xscale=\"log\",ylim=(0,1))\n",
+ "ax1.set_xlabel(\"Number of Voters (log scale)\", fontsize=12)\n",
+ "ax1.set_ylabel('Prop8 WL', fontsize=12)\n",
+ "ax1.tick_params(labelsize=10)\n",
+ "\n",
+ "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
+ "# plt.savefig(\"figures/sQV_WL_vs_n_voters_prop8.png\", bbox_inches='tight', dpi=300)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "## 1p1v normal dist comparison"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 34,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " [run number] \n",
+ " number-of-voters \n",
+ " minority-fraction \n",
+ " majority-mean-utility \n",
+ " majority-utility-stdev \n",
+ " minority-mean-utility \n",
+ " minority-utility-stdev \n",
+ " calibration \n",
+ " marginal-pivotality \n",
+ " variance-of-pmp \n",
+ " ... \n",
+ " payoff-include-votes-cost? \n",
+ " voting-mechanism \n",
+ " [step] \n",
+ " mean payoff-sign-list \n",
+ " mean payoff-list \n",
+ " standard-deviation payoff-list \n",
+ " mean vote-sum-list \n",
+ " standard-deviation vote-sum-list \n",
+ " mean mean-median-same-sign-list \n",
+ " wellfare-loss \n",
+ " \n",
+ " \n",
+ " \n",
+ " \n",
+ " 0 \n",
+ " 2 \n",
+ " 51 \n",
+ " 0 \n",
+ " 0 \n",
+ " 2 \n",
+ " 10 \n",
+ " 1 \n",
+ " manual \n",
+ " 0.5 \n",
+ " 0 \n",
+ " ... \n",
+ " False \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.807 \n",
+ " 9.252325 \n",
+ " 10.720377 \n",
+ " -0.258 \n",
+ " 6.983854 \n",
+ " 0.807 \n",
+ " 0.193 \n",
+ " \n",
+ " \n",
+ " 1 \n",
+ " 1 \n",
+ " 11 \n",
+ " 0 \n",
+ " 0 \n",
+ " 2 \n",
+ " 10 \n",
+ " 1 \n",
+ " manual \n",
+ " 0.5 \n",
+ " 0 \n",
+ " ... \n",
+ " False \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.822 \n",
+ " 4.404294 \n",
+ " 4.845724 \n",
+ " 0.018 \n",
+ " 3.375659 \n",
+ " 0.822 \n",
+ " 0.178 \n",
+ " \n",
+ " \n",
+ " 2 \n",
+ " 3 \n",
+ " 101 \n",
+ " 0 \n",
+ " 0 \n",
+ " 2 \n",
+ " 10 \n",
+ " 1 \n",
+ " manual \n",
+ " 0.5 \n",
+ " 0 \n",
+ " ... \n",
+ " False \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.777 \n",
+ " 12.674151 \n",
+ " 15.903170 \n",
+ " -0.092 \n",
+ " 9.904021 \n",
+ " 0.777 \n",
+ " 0.223 \n",
+ " \n",
+ " \n",
+ " 3 \n",
+ " 4 \n",
+ " 501 \n",
+ " 0 \n",
+ " 0 \n",
+ " 2 \n",
+ " 10 \n",
+ " 1 \n",
+ " manual \n",
+ " 0.5 \n",
+ " 0 \n",
+ " ... \n",
+ " False \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.797 \n",
+ " 27.310192 \n",
+ " 33.596832 \n",
+ " 0.172 \n",
+ " 21.449627 \n",
+ " 0.797 \n",
+ " 0.203 \n",
+ " \n",
+ " \n",
+ " 4 \n",
+ " 5 \n",
+ " 1001 \n",
+ " 0 \n",
+ " 0 \n",
+ " 2 \n",
+ " 10 \n",
+ " 1 \n",
+ " manual \n",
+ " 0.5 \n",
+ " 0 \n",
+ " ... \n",
+ " False \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.822 \n",
+ " 43.343398 \n",
+ " 47.754228 \n",
+ " 1.078 \n",
+ " 32.428406 \n",
+ " 0.822 \n",
+ " 0.178 \n",
+ " \n",
+ " \n",
+ " 5 \n",
+ " 6 \n",
+ " 5001 \n",
+ " 0 \n",
+ " 0 \n",
+ " 2 \n",
+ " 10 \n",
+ " 1 \n",
+ " manual \n",
+ " 0.5 \n",
+ " 0 \n",
+ " ... \n",
+ " False \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.789 \n",
+ " 92.669346 \n",
+ " 113.352887 \n",
+ " 0.922 \n",
+ " 71.479138 \n",
+ " 0.789 \n",
+ " 0.211 \n",
+ " \n",
+ " \n",
+ " 6 \n",
+ " 7 \n",
+ " 10001 \n",
+ " 0 \n",
+ " 0 \n",
+ " 2 \n",
+ " 10 \n",
+ " 1 \n",
+ " manual \n",
+ " 0.5 \n",
+ " 0 \n",
+ " ... \n",
+ " False \n",
+ " 1p1v \n",
+ " 1000 \n",
+ " 0.811 \n",
+ " 133.714622 \n",
+ " 153.346359 \n",
+ " -0.640 \n",
+ " 99.696267 \n",
+ " 0.811 \n",
+ " 0.189 \n",
+ " \n",
+ " \n",
+ "
\n",
+ "
7 rows × 21 columns
\n",
+ "
"
+ ],
+ "text/plain": [
+ " [run number] number-of-voters minority-fraction majority-mean-utility \\\n",
+ "0 2 51 0 0 \n",
+ "1 1 11 0 0 \n",
+ "2 3 101 0 0 \n",
+ "3 4 501 0 0 \n",
+ "4 5 1001 0 0 \n",
+ "5 6 5001 0 0 \n",
+ "6 7 10001 0 0 \n",
+ "\n",
+ " majority-utility-stdev minority-mean-utility minority-utility-stdev \\\n",
+ "0 2 10 1 \n",
+ "1 2 10 1 \n",
+ "2 2 10 1 \n",
+ "3 2 10 1 \n",
+ "4 2 10 1 \n",
+ "5 2 10 1 \n",
+ "6 2 10 1 \n",
+ "\n",
+ " calibration marginal-pivotality variance-of-pmp ... \\\n",
+ "0 manual 0.5 0 ... \n",
+ "1 manual 0.5 0 ... \n",
+ "2 manual 0.5 0 ... \n",
+ "3 manual 0.5 0 ... \n",
+ "4 manual 0.5 0 ... \n",
+ "5 manual 0.5 0 ... \n",
+ "6 manual 0.5 0 ... \n",
+ "\n",
+ " payoff-include-votes-cost? voting-mechanism [step] mean payoff-sign-list \\\n",
+ "0 False 1p1v 1000 0.807 \n",
+ "1 False 1p1v 1000 0.822 \n",
+ "2 False 1p1v 1000 0.777 \n",
+ "3 False 1p1v 1000 0.797 \n",
+ "4 False 1p1v 1000 0.822 \n",
+ "5 False 1p1v 1000 0.789 \n",
+ "6 False 1p1v 1000 0.811 \n",
+ "\n",
+ " mean payoff-list standard-deviation payoff-list mean vote-sum-list \\\n",
+ "0 9.252325 10.720377 -0.258 \n",
+ "1 4.404294 4.845724 0.018 \n",
+ "2 12.674151 15.903170 -0.092 \n",
+ "3 27.310192 33.596832 0.172 \n",
+ "4 43.343398 47.754228 1.078 \n",
+ "5 92.669346 113.352887 0.922 \n",
+ "6 133.714622 153.346359 -0.640 \n",
+ "\n",
+ " standard-deviation vote-sum-list mean mean-median-same-sign-list \\\n",
+ "0 6.983854 0.807 \n",
+ "1 3.375659 0.822 \n",
+ "2 9.904021 0.777 \n",
+ "3 21.449627 0.797 \n",
+ "4 32.428406 0.822 \n",
+ "5 71.479138 0.789 \n",
+ "6 99.696267 0.811 \n",
+ "\n",
+ " wellfare-loss \n",
+ "0 0.193 \n",
+ "1 0.178 \n",
+ "2 0.223 \n",
+ "3 0.203 \n",
+ "4 0.178 \n",
+ "5 0.211 \n",
+ "6 0.189 \n",
+ "\n",
+ "[7 rows x 21 columns]"
+ ]
+ },
+ "execution_count": 34,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df11 = pd.read_csv('2020.07.10 1p1v-normal-dist.csv')\n",
+ "df11['wellfare-loss'] = 1 - df11['mean payoff-sign-list']\n",
+ "df11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 31,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "No handles with labels found to put in legend.\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "mean wellfare loss: 0.1964285714285714\n"
+ ]
+ }
+ ],
+ "source": [
+ "f, ax1 = plt.subplots(figsize=(4, 3))\n",
+ "sns.scatterplot(x=\"number-of-voters\",\n",
+ " y=\"wellfare-loss\",\n",
+ " data=df11,\n",
+ " ax=ax1)\n",
+ "\n",
+ "ax1.set(xscale=\"log\",ylim=(0,1))\n",
+ "ax1.set_xlabel(\"Number of Voters (log scale)\", fontsize=12)\n",
+ "ax1.set_ylabel('Prop8 WL', fontsize=12)\n",
+ "ax1.tick_params(labelsize=10)\n",
+ "\n",
+ "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
+ "# plt.savefig(\"figures/sQV_WL_vs_n_voters_prop8.png\", bbox_inches='tight', dpi=300)\n",
+ "plt.show()\n",
+ "print(\"mean wellfare loss: {}\".format(df11['wellfare-loss'].mean()))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Vote vs Utility Graphs\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 54,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "d1p1v = pd.read_csv('u-vs-v-1p1v.csv')\n",
+ "QV0 = pd.read_csv('u-vs-v-QV-no-variance.csv')\n",
+ "QV5 = pd.read_csv('u-vs-v-QV-variance=.050.csv')\n",
+ "QVrdrm = pd.read_csv('u-vs-v-QV-rdrm.csv')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 55,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "\n",
+ "\n",
+ "f, axes = plt.subplots(1, 4, figsize=(12, 3), sharex=True)\n",
+ "\n",
+ "sns.scatterplot(x=\"u\", y=\"v\", data = d1p1v, ax=axes[0])\n",
+ "sns.scatterplot(x=\"u\", y=\"v\", data = QV0, ax=axes[1])\n",
+ "sns.scatterplot(x=\"u\", y=\"v\", data = QV5, ax=axes[2])\n",
+ "sns.scatterplot(x=\"u\", y=\"v\", data = QVrdrm, ax=axes[3])\n",
+ "\n",
+ "for i in range(4):\n",
+ " axes[i].set_ylabel('')\n",
+ " axes[i].set_xlabel('utility')\n",
+ "axes[0].set_ylabel('votes')\n",
+ "\n",
+ "\n",
+ "axes[0].set_title('a) 1p1v', fontsize=12)\n",
+ "axes[1].set_title('b) QV-PMP variance=0', fontsize=12)\n",
+ "axes[2].set_title('c) QV-PMP variance=.05', fontsize=12)\n",
+ "axes[3].set_title('d) QV-RDRM', fontsize=12)\n",
+ "\n",
+ "plt.savefig('figures/QV-u-vs-v.png', bbox_inches='tight', dpi=300)\n",
+ "plt.show()\n"
+ ]
+ },
+ {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "mQV2 = pd.read_csv('u-vs-v-mQV-2-issues.csv')\n",
+ "mQV5 = pd.read_csv('u-vs-v-mQV-5-issues.csv')\n",
+ "mQV10 = pd.read_csv('u-vs-v-mQV-10-issues.csv')\n",
+ "\n",
+ "mQV2voters = pd.read_csv('u-vs-v-mQV-2-individuals.csv')\n",
+ "mQV2voters['high-u?'] = mQV2voters['color'] > 0\n",
+ "\n",
+ "f, axes = plt.subplots(1, 4, figsize=(12, 3), sharex=True)\n",
+ "\n",
+ "sns.scatterplot(x=\"u\", y=\"v\", data = mQV2, ax=axes[0])\n",
+ "sns.scatterplot(x=\"u\", y=\"v\", data = mQV5, ax=axes[1])\n",
+ "sns.scatterplot(x=\"u\", y=\"v\", data = mQV10, ax=axes[2])\n",
+ "sns.lineplot(x=\"u\", y=\"v\", hue='high-u?', marker='o', data = mQV2voters, ax=axes[3])\n",
+ "\n",
+ "for i in range(3):\n",
+ " axes[i].set_ylabel('')\n",
+ " axes[i].set_xlabel('utility')\n",
+ "axes[0].set_ylabel('votes')\n",
+ "\n",
+ "axes[0].set_title('a) mQV - 2 issues', fontsize=12)\n",
+ "axes[1].set_title('b) mQV - 5 issues', fontsize=12)\n",
+ "axes[2].set_title('c) mQV - 10 issues', fontsize=12)\n",
+ "axes[3].set_title('d) mQV - 2 voters', fontsize=12)\n",
+ "axes[3].get_legend().remove()\n",
+ "\n",
+ "plt.savefig('figures/mQV-u-vs-v.png', bbox_inches='tight', dpi=300)\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Beta Distribution"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 102,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "import scipy.stats as stats\n",
+ "\n",
+ "dfb = pd.DataFrame(columns=['x', 'y', 'var'])\n",
+ "fig, ax = plt.subplots(figsize=(4, 3))\n",
+ "\n",
+ "# plt.plot([0.5, 0.5], [0, 4], '-')\n",
+ "\n",
+ "for var in [0.01, 0.05, 0.082]:\n",
+ " ave = 0.5\n",
+ " max_var = ave - ave ** 2\n",
+ "\n",
+ " a = ave ** 2 * ( (1 - ave) / var - 1 / ave)\n",
+ " b = a * (1 / ave - 1)\n",
+ "\n",
+ " x = np.arange(0, 1.01, 0.01)\n",
+ " y = stats.beta.pdf(x, a, b)\n",
+ " \n",
+ " sns.lineplot(x, y, ax=ax)\n",
+ "\n",
+ "plt.ylim(0, 4)\n",
+ "ax.set_ylabel('probability density function')\n",
+ "plt.savefig('figures/beta-dist.png', bbox_inches='tight', dpi=300)\n",
+ " \n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.8.3"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/data-analysis/analysis-for-css2020/Jacob -mQV vs 1p1v.ipynb b/data-analysis/analysis-for-css2020/Jacob -mQV vs 1p1v.ipynb
new file mode 100644
index 0000000..a21b1b7
--- /dev/null
+++ b/data-analysis/analysis-for-css2020/Jacob -mQV vs 1p1v.ipynb
@@ -0,0 +1,1796 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "ToDo:\n",
+ "- Add 1p1v as benchmarks on QV graphs"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Imports + Loading Data & Helper Functions"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import pandas as pd\n",
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "import seaborn as sns\n",
+ "\n",
+ "\n",
+ "import matplotlib \n",
+ "font = {'size' : 12}\n",
+ "matplotlib.rc('font', **font)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def to_array(string):\n",
+ " return np.array([float(el) for el in string.replace(\"[\", \"\").replace(\"]\",\"\").split(\" \")])\n",
+ "def WL_per_issue(payoffs):\n",
+ " return (payoffs < 0) * 1"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "\n",
+ "def load_csv_to_dataframe(csv_path):\n",
+ " df = pd.read_csv(csv_path)\n",
+ "\n",
+ " cols_to_drop = ['vote-portion-strategic', 'proportion-of-strategic-voters', 'minority-power',\n",
+ " 'y-axis', 'x-axis', 'issue-num', 'poll-response-rate', '[step]']\n",
+ " df.drop(columns=cols_to_drop, inplace=True)\n",
+ "\n",
+ " df['total-payoff-per-issue'] = df['total-payoff-per-issue'].apply(to_array)\n",
+ " df['mean-utilities'] = df['mean-utilities'].apply(to_array)\n",
+ " df['median-utilities'] = df['median-utilities'].apply(to_array)\n",
+ " df['mean-median-same-sign-list'] = df['mean-median-same-sign-list'].apply(to_array)\n",
+ "\n",
+ "\n",
+ "\n",
+ " df['WL-per-issue'] = df['total-payoff-per-issue'].apply(WL_per_issue)\n",
+ " df['mean-WL'] = df['WL-per-issue'].apply(np.mean)\n",
+ " return df\n",
+ "\n",
+ "\n",
+ "def aggregate_by_num_voters_num_issues(ldf):\n",
+ " ladf = ldf.groupby(['number-of-voters', 'number-of-issues']).aggregate('mean').reset_index()\n",
+ " n_issues_dict = {2:'two', 4: 'four', 5:'five', 6: 'six', 8: 'eight', 10: 'ten'}\n",
+ " ladf['num_issues'] = ladf['number-of-issues'].apply(lambda x: n_issues_dict[x])\n",
+ " ladf['n-voters'] = ladf['number-of-voters'].apply(lambda n: \"=\" + str(n))\n",
+ " return ladf\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "\n",
+ "# Helper functions\n",
+ "def plot_WL_vs_n_issues(ladf, \n",
+ " title, \n",
+ " hue='number-of-voters', \n",
+ " ylim=(0, 0.25), \n",
+ " WL_col = \"mean-WL\"):\n",
+ " \n",
+ " ax2 = sns.scatterplot(x=\"number-of-issues\", \n",
+ " y=WL_col,\n",
+ " hue=hue,\n",
+ " data = ladf,)\n",
+ "\n",
+ " ax2.set(ylim=ylim,\n",
+ " xlabel = \"number-of-issues\")\n",
+ "\n",
+ " plt.title(title)\n",
+ " plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
+ " plt.show()\n",
+ "\n",
+ "def plot_WL_vs_n_voters(ladf, title, \n",
+ " hue='number-of-issues', \n",
+ " ylim = (0, 0.25),\n",
+ " WL_col=\"mean-WL\"):\n",
+ " f, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 5))\n",
+ " sns.scatterplot(x=\"number-of-voters\", \n",
+ " y=WL_col,\n",
+ " data = ladf,\n",
+ " hue=hue,\n",
+ " ax=ax1)\n",
+ "\n",
+ " sns.scatterplot(x=\"number-of-voters\", \n",
+ " y=WL_col,\n",
+ " data = ladf,\n",
+ " hue=hue,\n",
+ " ax=ax2)\n",
+ " \n",
+ " ax1.legend_.remove()\n",
+ " ax2.set(xscale=\"log\", xlabel = \"number-of-voters (log scale)\")\n",
+ " ax1.set(ylim=ylim, xlim=(0, 10100))\n",
+ " ax2.set(ylim=ylim)\n",
+ " f.suptitle(title)\n",
+ " \n",
+ " \n",
+ " plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "True"
+ ]
+ },
+ "execution_count": 9,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df = load_csv_to_dataframe('2020.02.19-multi-issue-QV-non-strategic-voting.csv')\n",
+ "# checking that mean-WL is 0 whenever maximial-utility? is True and is >0 when maximal utility is false\n",
+ "all(df['maximal-utility?'].apply(lambda mu: not mu) == np.ceil(df['mean-WL']))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "# Wellfare loss of QV and 1p1v in multi-issue voting -- all utilities from normal distrubution with $\\mu=0$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "## Dataframe prep"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 397,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": [
+ "df_normal = df[df['utility-distribution'] == \"Normal mean = 0\"] \n",
+ "dfn_qv = df_normal[df_normal['QV?'] == True]\n",
+ "dfn_1p1v = df_normal[df_normal['QV?'] == False]"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "## 1p1v wellfare loss - all utilities from normal distrubution with $\\mu=0$\n",
+ "\n",
+ "As expected, wellfare loss doesn't depend on number of issues or number of voters for 1p1v with all utility distrubtions normal with $\\mu=0$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "### Dataframe prep"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 407,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": [
+ "adf_1p1v = dfn_1p1v.groupby(['number-of-voters', 'number-of-issues']).aggregate('mean').reset_index()\n",
+ "n_issues_dict = {2:'two', 4: 'four', 6: 'six', 8: 'eight', 10: 'ten'}\n",
+ "adf_1p1v['num_issues'] = adf_1p1v['number-of-issues'].apply(lambda x: n_issues_dict[x])"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "### 1p1v wellfare loss vs number of voters and issues"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 359,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_1p1v, '1p1v wellfare loss vs n_voters - All normal $\\mu=0$', hue='num_issues')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "## QV wellfare loss - all utilities from normal distrubution with $\\mu=0$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "### Dataframe prep"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 448,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": [
+ "## Prepare aggregate data frame\n",
+ "adf_qv = dfn_qv.groupby(['number-of-voters', 'number-of-issues']).aggregate('mean').reset_index()\n",
+ "n_issues_dict = {2:'two', 4: 'four', 6: 'six', 8: 'eight', 10: 'ten'}\n",
+ "adf_qv['num_issues'] = adf_qv['number-of-issues'].apply(lambda x: n_issues_dict[x])\n",
+ "adf_qv['n-voters'] = adf_qv['number-of-voters'].apply(lambda n: \"=\" + str(n))\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "### QV wellfare loss vs number of voters\n",
+ "\n",
+ "Seems that in this case (all normal distrubtions), wellfare loss does not significantly decrease with number of voters, at least not up to 10k voters. "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 361,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_qv, 'QV wellfare loss vs n_voters - All normal $\\mu=0$', hue='num_issues')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "hidden": true
+ },
+ "source": [
+ "### QV wellfare loss vs number of issues for plot\n",
+ "\n",
+ "Wellfare loss decreases slowly with the number of issues. It reaches about .07 with ten issues. "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 409,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "0.20398952380952354"
+ ]
+ },
+ "execution_count": 409,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 480,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# plot_WL_vs_n_issues(adf_qv, 'QV wellfare loss vs n issues, $\\mu=0$', hue='n-voters')\n",
+ "adf = dfn_qv.groupby(['number-of-issues']).aggregate('mean').reset_index()\n",
+ "f, ax = plt.subplots(figsize=(4, 3))\n",
+ "sns.scatterplot(x=\"number-of-issues\", \n",
+ " y=\"mean-WL\",\n",
+ "# hue='n-voters',\n",
+ " ax = ax,\n",
+ " data = adf)\n",
+ "\n",
+ "ax.set(ylim=(0, 0.25), \n",
+ " xlabel = \"Number of Issues\",\n",
+ " ylabel=\"normal dist. WL\")\n",
+ "\n",
+ "WL_1p1v = adf_1p1v['mean-WL'].mean()\n",
+ "plt.plot([2, 10], [WL_1p1v]*2, 'k--', linewidth=1)\n",
+ "\n",
+ "# plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
+ "plt.savefig('figures/mQV_WL_vs_n_issues_𝜇=0.png', bbox_inches='tight', dpi=300)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Wellfare loss of QV and 1p1v in multi-issue voting -- all utilities from normal distrubution with $\\mu=0$ except for one with Prop8 Calibration using uniform distributions"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Dataframe prep"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "df_prop8 = df[df['utility-distribution'] == \"Prop8 mean>0\"].copy()\n",
+ "df_prop8['Prop8-WL'] = df_prop8['WL-per-issue'].apply(lambda ar: ar[0])\n",
+ "df_prop8['all-but-pop8-WL'] = df_prop8['WL-per-issue'].apply(lambda ar: np.mean(ar[1:]))\n",
+ "df8_qv = df_prop8[df_prop8['QV?'] == True]\n",
+ "df8_1p1v = df_prop8[df_prop8['QV?'] == False]\n",
+ "\n",
+ "# 1p1v dataframes \n",
+ "adf_8_1p1v = df8_1p1v.groupby(['number-of-voters', 'number-of-issues']).aggregate('mean').reset_index()\n",
+ "n_issues_dict = {2:'two', 4: 'four', 5:'five', 6: 'six', 8: 'eight', 10: 'ten'}\n",
+ "adf_8_1p1v['num_issues'] = adf_8_1p1v['number-of-issues'].apply(lambda x: n_issues_dict[x])\n",
+ "adf_8_1p1v['n-voters'] = adf_8_1p1v['number-of-voters'].apply(lambda n: \"=\" + str(n))\n",
+ "\n",
+ "# QV dataframe prep\n",
+ "adf_8_qv = df8_qv.groupby(['number-of-voters', 'number-of-issues']).aggregate('mean').reset_index()\n",
+ "n_issues_dict = {2:'two', 4: 'four', 5: 'five', 6: 'six', 8: 'eight', 10: 'ten'}\n",
+ "adf_8_qv['num_issues'] = adf_8_qv['number-of-issues'].apply(lambda x: n_issues_dict[x])\n",
+ "adf_8_qv['n-voters'] = adf_8_qv['number-of-voters'].apply(lambda n: \"=\" + str(n))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## WL vs N voters for paper (both QV and 1p1v)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "adf_8_1p1v2 = df8_1p1v.groupby(['number-of-voters']).aggregate('mean').reset_index()\n",
+ "adf_8_1p1v2['num_issues'] = 'one/1p1v'\n",
+ "# plot_WL_vs_n_voters(adf_8_1p1v2, \n",
+ "# '1p1v wellfare loss vs n_voters - just prop8 issue', \n",
+ "# ylim=(0,1.1),\n",
+ "# hue='num_issues',\n",
+ "# WL_col = \"Prop8-WL\")\n",
+ "# plot_WL_vs_n_voters(adf_8_qv, \n",
+ "# 'QV wellfare loss vs n_voters - just prop8 issue', \n",
+ "# hue='num_issues',\n",
+ "# ylim=(0,1),\n",
+ "# WL_col = \"Prop8-WL\")\n",
+ "wl_nv_df = adf_8_qv.append(adf_8_1p1v2, sort=False)\n",
+ "wl_nv_df['QV?'] = wl_nv_df['QV?'].apply(lambda x: 2 if x ==0 else 1)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# plot_WL_vs_n_issues(adf_qv, 'QV wellfare loss vs n issues, $\\mu=0$', hue='n-voters')\n",
+ "\n",
+ "\n",
+ "f, ax = plt.subplots(figsize=(4, 3))\n",
+ "sns.scatterplot(x=\"number-of-voters\", \n",
+ " y=\"Prop8-WL\",\n",
+ " hue='num_issues',\n",
+ " style='QV?',\n",
+ " ax = ax,\n",
+ " data = wl_nv_df)\n",
+ "\n",
+ "ax.set(ylim=(0, 1), \n",
+ " xscale='log',\n",
+ " xlabel = \"Number of Voters\",\n",
+ " ylabel=\"Prop8 WL\")\n",
+ "\n",
+ "\n",
+ "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
+ "plt.savefig('figures/mQV_WL_vs_voters_prop8.png', bbox_inches='tight', dpi=300)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " number-of-voters \n",
+ " number-of-issues \n",
+ " [run number] \n",
+ " QV? \n",
+ " maximal-utility? \n",
+ " mean-WL \n",
+ " Prop8-WL \n",
+ " all-but-pop8-WL \n",
+ " num_issues \n",
+ " n-voters \n",
+ " \n",
+ " \n",
+ " \n",
+ " \n",
+ " 5 \n",
+ " 11 \n",
+ " 10.0 \n",
+ " 19500.5 \n",
+ " 1 \n",
+ " 0.471 \n",
+ " 0.0744 \n",
+ " 0.068 \n",
+ " 0.075111 \n",
+ " ten \n",
+ " =11 \n",
+ " \n",
+ " \n",
+ " 11 \n",
+ " 51 \n",
+ " 10.0 \n",
+ " 39500.5 \n",
+ " 1 \n",
+ " 0.436 \n",
+ " 0.0777 \n",
+ " 0.119 \n",
+ " 0.073111 \n",
+ " ten \n",
+ " =51 \n",
+ " \n",
+ " \n",
+ " 17 \n",
+ " 101 \n",
+ " 10.0 \n",
+ " 59500.5 \n",
+ " 1 \n",
+ " 0.434 \n",
+ " 0.0785 \n",
+ " 0.137 \n",
+ " 0.072000 \n",
+ " ten \n",
+ " =101 \n",
+ " \n",
+ " \n",
+ " 23 \n",
+ " 501 \n",
+ " 10.0 \n",
+ " 79500.5 \n",
+ " 1 \n",
+ " 0.395 \n",
+ " 0.0852 \n",
+ " 0.214 \n",
+ " 0.070889 \n",
+ " ten \n",
+ " =501 \n",
+ " \n",
+ " \n",
+ " 29 \n",
+ " 1001 \n",
+ " 10.0 \n",
+ " 99500.5 \n",
+ " 1 \n",
+ " 0.383 \n",
+ " 0.0873 \n",
+ " 0.240 \n",
+ " 0.070333 \n",
+ " ten \n",
+ " =1001 \n",
+ " \n",
+ " \n",
+ " 35 \n",
+ " 5001 \n",
+ " 10.0 \n",
+ " 119500.5 \n",
+ " 1 \n",
+ " 0.436 \n",
+ " 0.0775 \n",
+ " 0.126 \n",
+ " 0.072111 \n",
+ " ten \n",
+ " =5001 \n",
+ " \n",
+ " \n",
+ " 41 \n",
+ " 10001 \n",
+ " 10.0 \n",
+ " 139500.5 \n",
+ " 1 \n",
+ " 0.493 \n",
+ " 0.0656 \n",
+ " 0.053 \n",
+ " 0.067000 \n",
+ " ten \n",
+ " =10001 \n",
+ " \n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " number-of-voters number-of-issues [run number] QV? maximal-utility? \\\n",
+ "5 11 10.0 19500.5 1 0.471 \n",
+ "11 51 10.0 39500.5 1 0.436 \n",
+ "17 101 10.0 59500.5 1 0.434 \n",
+ "23 501 10.0 79500.5 1 0.395 \n",
+ "29 1001 10.0 99500.5 1 0.383 \n",
+ "35 5001 10.0 119500.5 1 0.436 \n",
+ "41 10001 10.0 139500.5 1 0.493 \n",
+ "\n",
+ " mean-WL Prop8-WL all-but-pop8-WL num_issues n-voters \n",
+ "5 0.0744 0.068 0.075111 ten =11 \n",
+ "11 0.0777 0.119 0.073111 ten =51 \n",
+ "17 0.0785 0.137 0.072000 ten =101 \n",
+ "23 0.0852 0.214 0.070889 ten =501 \n",
+ "29 0.0873 0.240 0.070333 ten =1001 \n",
+ "35 0.0775 0.126 0.072111 ten =5001 \n",
+ "41 0.0656 0.053 0.067000 ten =10001 "
+ ]
+ },
+ "execution_count": 14,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "wl_nv_df[wl_nv_df['num_issues']=='ten']"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## 1p1v wellfare loss"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### 1p1v wellfare loss vs number of voters"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "#### Avg WL of all issues"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 374,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_8_1p1v, \n",
+ " '1p1v avg. wellfare loss vs n_voters - 1 prop8 calibration and rest normal $\\mu=0$', \n",
+ " hue='num_issues',\n",
+ " ylim=(0,1))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "#### WL of Prop8 Issue Only"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 375,
+ "metadata": {
+ "hidden": true,
+ "scrolled": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# adf_8_1p1v[adf_8_1p1v['number-of-issues'].isin([10])]\n",
+ "plot_WL_vs_n_voters(adf_8_1p1v, \n",
+ " '1p1v wellfare loss vs n_voters - just prop8 issue', \n",
+ " hue='num_issues',\n",
+ " ylim=(0,1.1),\n",
+ " WL_col = \"Prop8-WL\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "#### WL of all isues but Prop8 Issue"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 376,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_8_1p1v, \n",
+ " '1p1v wellfare loss vs n_voters - all but prop8 issue', \n",
+ " hue='num_issues',\n",
+ " ylim=(0,1.1),\n",
+ " WL_col = \"all-but-pop8-WL\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### 1p1v wellfare loss vs number of issues"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "#### Avg of all issues"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 377,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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B7tImhBCiV3vttdfS3n333a12u91/6qmnnvDkk09m3HHHHaUt55k9e3bFY4891q+ystKUmprq93q9LF26NPXll1/eDjB9+vShJ5xwQsPSpUuL1q9fH3/++eePHDFiRNP06dNrPv300/3bt2+Pe+ONN74Nru+SSy4ZnJmZ6d2+ffuG2tpa0znnnDPi8ccfd//yl78sA/jyyy+d06ZNqygtLV3f1NSkLr300sFTpkypXrVq1eampib10UcfOQ/ntUpNXQghRK92ww03HBg8eLCnb9++vrPOOqt6/fr19tB5Ro4c6R49erRr0aJFqQBvvvlmUnx8vH/q1Kn127Zts65bty7hz3/+8x6Hw6EnTJjQMHPmzLIXXnghPdz2du/ebVmxYkXys88+uyspKcmfnZ3t/fnPf37glVdeSQvOk5mZ6f71r3990Gq1kpCQoC0Wi961a1dccXGx1eFw6LPPPvuwxmiRpC6EEKJXy8rKaj5p7XA4/PX19eZJkyaNcDgc+Q6HI/+ZZ55JA5gxY0bFkiVL0gAWLVqU9pOf/KQCYNeuXbakpCRvamqqP7ieQYMGufft22cNt71t27bZvF6v6tevX25iYmJeYmJi3u233z6ovLy8ef5+/fq1OpH+xBNP7NFac+qpp44aPnx4zh//+MewBwwdkeZ3IYQQx5yVK1duDS2bNWtW5X333Tdg+/bt1nfeeSdlxYoV3wAMHDjQXVNTYwk2zYOR6IOJWSnVanjcoUOHemw2m66oqFhvtYbN+4csM3DgQO/LL7+8E+Cdd95J+PGPfzzyzDPPrBszZkxTZ16X1NSFEEIIICsryzt+/PjaK664YnD//v3d48aNawQYPny4Jy8vr+7WW2/t73K51GeffWZ/6aWXMq644opygL59+3r37Nlj8/l8AAwaNMgzceLE6uuuu25ARUWFyefzsXHjxri33noroa1tP//886nbt2+3AqSnp3uVUhzOWPqS1IUQQoiAiy++uPy///1v0vTp08tbli9ZsmTH7t27bf369cudPn36sMLCwr0XXnhhLcCsWbMqAFJTU/NGjx49KjB/sdvtVqNGjRqTkpKSN3369GElJSXhq+3A559/7jz11FNHORyO/Isuumj47373u12jR492dzZ+pXXvuKmO3HpVCCE6Tym1VmtdcCTrKCoqKs7NzS2LVkyiY0VFRRm5ubmDQ8ulpi6EEEL0EpLUhRBCiF5CkroQQgjRS0hSF0IIIXoJSepCCCFELyFJXQghhOglJKkLIYQQvYQkdSGEEKKXkKQuhBBC9BLHdFL3uTx4yhpo3FaFt7oJv8cX65CEEEJ0s7lz52aOGTNmlM1mGzdt2rTBLac1Njaqc845Z2h2dvaJSqnvLV26NDFGYUbkmL1Lm7/BQ+3y3dR9VGIUWExkXncicQOTYhuYEEKIbpWdne0pLCzc9/bbbyc1NjYeUtmdMGFC3Zw5cw5efvnlQ2MRX2d0W1JXSqUBzwFnAWXAXVrrxW3MOw74IzAOqAfmaq2fiGY8/ibfdwkdwOun6vVtZFw9BnOCLZqbEkIIEcbfVu1M+9P7W7NLa5tsmYlx7lumjii5/JRBFd0dx+zZs6sAVq9e7SgpKWmVAOLj4/U999xzEMBk6vmN291ZU38KcAN9gTzgLaVUkdZ6Y8uZlFIZwNvAHOAVwAb0j3Yw/gbvIWW+qia0v3fc4EYIIXqyv63amfbA0k2Dmrx+E8DB2ibbA0s3DQKIZmKfPHny8DVr1oS95WlBQUHd8uXLt0VrWz1BtyR1pZQTmAaM0VrXAR8rpf4FXAHcGTL7bcA7WutFgedNwNdRDyrehCnRir/W01wUd2IaPjxYiIv65oQQQnznT+9vzQ4m9KAmr9/0p/e3Zkczqfe2pN2R7mpLGAl4tdZbWpQVATlh5j0FqFBKfaqUOqiUelMpNTDcSpVS1yml1iil1pSWlnYqoAZ3Lc5LBhJ3QiqWDDvxE/vgH23F4+v07WuFEEJ0UmltU9jznG2Vi8h0V1JPAGpCyqqBcL0I+wOzgVuBgcC3wEvhVqq1flZrXaC1LsjMzOxUQJZ4G2//7U9869xETUEDX+x5h283r8OeKB3lhBCiq2UmxoWtQbVVfrgmTZo0wuFw5Id7TJo0aUQ0t9UTdNc59TogNFsmAbVh5m0AXtNarwZQSv0WKFNKJWutq6MVkDM5lfNvuYN1b7/Jhv++z+hJUxg0Ng+z5Zi9IEAIIbrNLVNHlLQ8pw4QZzH5b5k6oqS95Tpr5cqVWzuax+Px4PF4lM/nUz6fT7lcLmW1WrXVagWgoaFBaW30t3K73crlcqn4+HjdEzvOdVcG2wJYlFIjtNbBHZwLbAwz75dAy95qXdZzLSE1jQkzLsPn8WCz27tqM0IIIUIEz5v3hN7vhYWFWY8//ni/4HOn05k2Z86cfY899thegOHDh4/Zu3evDWDatGkjAL755puvjj/++B53vrb56KPLN6TUyxgJ+lqM3u//BiaE6f0+BXgVmIyR9B8GCrTWp7e3/oKCAr1mzZquCF0IIXotpdRarXXBkayjqKioODc3tyxaMYmOFRUVZeTm5g4OLe/OtoMbATtwEOMc+Q1a641KqdOVUnXBmbTWHwC/At4KzDscmNmNcQohhBBHpW47gay1rgAuDFP+EUZHupZlzwDPdFNoQgghRK/Q887yCyGEEOKwSFIXQggheglJ6kIIIUQvIUldCCGE6CUkqQshhBC9hCR1IYQQopeQpC6EEEL0EpLUhRBCHNPGjx9/fFxc3LjgjV4GDx48Jjht586d1ilTpgzv06fPWKXU9zZv3tyj7yInSV0IIcQx76GHHtrlcrnWuVyudcXFxRuC5SaTSZ911lnVixcv3h7L+CIltyQTQggRG6ufS2PF77OpO2gjoY+bMwpLOOmabr+hS3sGDBjgvfPOO0s9Hk+sQ4mI1NSFEEJ0v9XPpfHOXYOoO2ADDXUHbLxz1yBWP5cWzc1Mnjx5eGJiYl64x+TJk4cH53vggQeyU1NTc8eNG3fC0qVLE6MZQ3eSmroQQojut+L32XibWlcsvU0mVvw+O5q19eXLl2/raJ558+btyc/Pb4iPj9cLFixIu/jii4d//vnnm3JycpqiFUd3kZq6EEKI7ld3MHyHs7bKu9CUKVPqU1NT/Xa7Xd98883l48aNq3v99deTuzuOaJCauhBCiO6X0MdtNL2HKY+iSZMmjVizZk1CuGkFBQV1K1eu3BparpRCax3NMLqNJHUhhBDd74zCEt65a1CrJnhLnJ8zCkuiuZlwSbulsrIy84oVK5znnnturdVq1QsWLEhbvXp1wpNPPrkrOI/L5VJer1cBNDY2KpfLpRwOR4/M+pLUhRBCdL/gefMY9353u93q3nvvzZ41a1a8yWTSQ4cObVy8ePH2sWPHNp9Pdzqd44L/5+XljQHQWq/tzjgjJUldCCFEbJx0TUWsL2HLysrybtiw4ev25umpCTwc6SgnhBBC9BKS1IUQQohe4phP6tqv8Xp8sQ5DCCGEOGLH9Dl1V42brz/dR+muGk44tR/HDU0m3mmNdVhCCCHEYem2mrpSKk0p9ZpSql4ptVMpNbON+e5TSnmUUnUtHkOjHY+rxs2/nljPqte3s/2LUt566ks2r9qH3+eP9qaEEEKIbtGdze9PAW6gL3AZ8IxSKqeNef+utU5o8dgR7WCaGryUl9S1Klv3n9001B0dg/YLIYQQobolqSulnMA04G6tdZ3W+mPgX8AV3bH9cEwmdUiZxWpCHVoshBBCHBW6q6Y+EvBqrbe0KCsC2qqp/0gpVaGU2qiUuqGtlSqlrlNKrVFKrSktLe1UQDa7mQGjW98M6JQLh2JP6PZhh4UQQoio6K6OcglATUhZNRDu9nZLgGeBA8DJwKtKqSqt9UuhM2qtnw3MS0FBQaeG7LMn2DjzqtEc+LaG8j21DMnNJCE1DhWmBi+EEEIcDbqrpl4HJIWUJQG1oTNqrTdprfdqrX1a60+BJ4DpXRGUI9HGkLEZFJw3hPTsBOIc0vNdCCGONXPnzs0cM2bMKJvNNm7atGmDQ6e/8cYbiUOGDMmx2+35J5988sgtW7Y0N+kuWLAgNT8//wS73Z4/fvz447s18DC6K6lvASxKqREtynKBjREsqwGpPgshhOgS2dnZnsLCwn0zZswoC522b98+y+WXXz7s7rvv3lteXr4+Ly/PNWPGjOYrsjIyMrw33XTTgZtuuml/90YdXrckda11PfBP4H6llFMpNRG4AHgxdF6l1AVKqVRlGA/cArzRHXEKIYToPn/f/Pe0yUsmnzj2hbHfm7xk8ol/3/z3tI6Xir7Zs2dXXXHFFVXp6ene0GmLFi1KGT58eOPVV19d6XA49COPPLJ38+bNjnXr1sUDXHjhhbXXXnttZVZWVo+4dKo7L2m7EbADB4GXgBu01huVUqcrpVpeW3YJsA2jaf7/gN9rrV/oxjiFEEJ0sb9v/nvaw6sfHlTWUGbTaMoaymwPr354ULQT++TJk4cnJibmhXtMnjx5eEfLb9y40T569GhX8HlSUpJ/wIABTUVFRfHRjDNaum1EOa11BXBhmPKPMDrSBZ9f2l0xCSGEiI35RfOz3T53q4ql2+c2zS+an33x8RdH7c5ty5cv33Yky9fX15syMjJa1eATExN9NTU15iOLrGsc82O/CyGE6H7lDeVhrx9uqzxWnE6nPzSB19XVmZKSknrkTUMkqQshhOh26fZ0d2fKD9ekSZNGOByO/HCPSZMmjeho+ZycnIZNmzY5gs9rampMu3fvjsvNzW2MZpzRIkldCCFEt7s+9/oSm9nW6mYbNrPNf33u9SXR3M7KlSu3ulyudeEeK1eu3Arg8XhwuVzK5/Mpn8+nXC6X8niMfm8zZ86s2rp1a/zChQtTXC6XKiws7Ddy5MiG/Pz8RgCv14vL5VJer1f5/X5cLpdqamqK2RVbktSFEEJ0u4uPv7jijpPu2Jlhz3ArFBn2DPcdJ92xM5rn0yNVWFiY5XQ6xz399NPHvfHGG2lOp3NcYWFhFkBWVpb3xRdf3P7b3/42Oy0tLX/t2rUJS5Ysab4fydNPP50emH/g2rVrE5xO57iZM2cO6u7XEKS07tRAbD1WQUGBXrNmTazDEEKIo4pSaq3WuuBI1lFUVFScm5t7yDXeousUFRVl5ObmDg4tl5q6EEII0UtIUhdCCCF6CUnqQgghRC8hSV0IIYToJSSpCyGEEL2EJHUhhBCil5CkLoQQQvQSktSFEEKIXkKSuhBCCNFLHHFSV0rJgYEQQoij1vjx44+Pi4sbF7zRy+DBg8e0nD5//vy0rKysE+12e/6ZZ5457MCBA813bZs7d27mmDFjRtlstnHTpk0b3O3BhziihKyUigM8UYql2/k9Hjylpbj37sVbXh7rcIQQQsTIQw89tCt4o5fi4uINwfI1a9bE33777YOee+65b/fv319kt9v911xzTfPY7tnZ2Z7CwsJ9M2bM6BHD5FqisI6Y3Y3mSPgbGqhftYq9d96Fv7qauBNOYMDTT2HNyop1aEIIcUyoeOnltPKnn872lpXZLBkZ7vQbbyxJu/SSbr+hS3sWLlyYPmXKlKpzzz23DmDevHl78/LyciorK02pqan+2bNnVwGsXr3aUVJSEvN7wUej6fyovCOMr7aWkltuxV9dDUDTN9+w777f4qupiXFkQgjR+1W89HLawXnzBnlLS21ojbe01HZw3rxBFS+9nBbN7UyePHl4YmJiXrjH5MmThwfne+CBB7JTU1Nzx40bd8LSpUsTg+Vff/11/NixYxuCz3NycpqsVqvesGFDfDTjjJZo1NSPSr7KSrSn9ZmDhvXr8Tc2Yk5KilFUQghxbCh/+uls3dTUqmKpm5pM5U8/nR3N2vry5cu3dTTPvHnz9uTn5zfEx8frBQsWpF188cXDP//88005OTlNLpfLnJyc7Gs5f0JCgq+6utrc1vpiqcOkrpT6iLZr40dtJzlzairKZkO73c1l9nH5mOLtMYyq5/N6PHiaGomzOzCZe+RnWghxFPCWlYVtqm6rvCtNmTKlPvj/zTffXL5kyZK0119/PTknJ+egw+Hw1dTUtMp19fX1hyT6niKSmvqCDqb/NRqBdDdzUhJM9CsJAAAgAElEQVT9n/wzewvvxFdZSfyYMfS7917MSYkdL3yMqqusYOOK92moqSa1XxYjTp6IIyk51mEJIY5ClowMt7e09JAEbsnIcIeb/3BNmjRpxJo1axLCTSsoKKhbuXLl1tBypRRaG3XZUaNGNX755ZeO4LRNmzbZ3G63GjNmTGM044yWSJL6i1pr/5FuSCmVBjwHnAWUAXdprRe3M78NKAIStdb9j3T7oUzx8ThPPZWhb7yO9vlQcXFY0qJ6KqdXcVVXUb17HyMGnoR/fxOW/k7KthVz3OiR2KR1QwjRSek33lhycN68QS2b4FVcnD/9xhtLormdcEm7pbKyMvOKFSuc5557bq3VatULFixIW716dcKTTz65C+DKK68s//73vz/q7bffTpgwYYLrrrvuyj777LOrUlNT/QAejwePx6N8Pp/y+XzK5XIpq9WqrVZrNF9GxCJJ6lVKqU+BlcAK4HOt9eFcxvYU4Ab6AnnAW0qpIq31xjbm/yVQCnRZ1VlZrVj69Omq1fcqJp8J2wZwfbnbKFgJCedk43N7oUd2FxFC9GTB8+ax7v3udrvVvffemz1r1qx4k8mkhw4d2rh48eLtY8eObQIoKCho/MMf/rDzqquuGlJVVWWZMGFCzeLFi4uDyxcWFmY9/vjj/YLPnU5n2pw5c/Y99thje7vzdQSpYBNDmzMoNRE4PfCYCFiBzzGS/ErgU611Q9trAKWUE6gExmittwTKXgRKtNZ3hpl/CPBv4Dbgr5HU1AsKCvSaNWs6mk0cJk+FiwMPr21VZnJYyLwlF2uKo42lhBA9nVJqrda64EjWUVRUVJybm9sjrtM+VhQVFWXk5uYODi3vsKautf4E+ASYp5RSQC4wCSPJ34hRk+6orjYS8AYTejAm4Iw25v8z8Cug3YMF0Y30ocMRaI8fZZLOckII0VN0tvd6MjAAGAgER9R5P4LlEoDQC8CrCdO0rpS6CDBrrV/raKVKqeuUUmuUUmtKS0sjCEMcLlO8Bdvg1pf6OSf0w2Q/Zq+KFEKIHieSS9pmYNTMJwGpGLX2j4H/A77SHbXfG+qA0Iu/k4DakG05gYeB8yJYJ1rrZ4FnwWh+j2QZcXjMTivpl4+i/ouDuHfWYD8xg/gRqZisUlMXQoieIpJq1t+Br4HfA3/XWjcdxna2ABal1AitdbAnYi4Q2kluBDAY+Mho6ccGJCul9gOnaK2LD2PbIkrMCTYST8tGn9IPk02SuRBC9DSRJPXTMGrpFwMPK6W2Ah8FHp9orTscV1VrXa+U+idwv1LqWoze7xcAE0Jm3YDRvB80AXgSGIfRE17EmDIplCR0IYTokTo8p661/lRrPU9rfT7QD7gZ2A9cBWxRSq2LcFs3AnbgIPAScIPWeqNS6nSlVF1gW16t9f7gA6gA/IHnPXL0HiGEEKKn6Gwvp2BHuQEYzeTpQETJVmtdAVwYpvwjjI504Zb5EIj6wDNCCCFEb9TZjnI5wC6Mpve/ACtbnCMXQgghRAxFUlN/AGOQmUcwkviurg1JiM7RXh++eg9+tw+TzYw5IQ5lPvS6eiGE6O0iOad+gtb6Oq313yShi55Ge300bq/mwGNfcPDRLzj45/W499XFOiwhxFFk7ty5mWPGjBlls9nGTZs2bXDo9DfeeCNxyJAhOXa7Pf/kk08euWXLluYb0TQ0NKgZM2YMTkhIyM/IyMi97777+ganNTY2qnPOOWdodnb2iUqp77W8T3tXOaxbpyqlOuzxLkR38Na5qXjpG3ST0bXDX+eh8uXNeKplMEIhRGSys7M9hYWF+2bMmHHIULf79u2zXH755cPuvvvuveXl5evz8vJcM2bMGBqc/otf/CJrx44dcd9+++2X77777uYnn3zyuFdeeaV5XJYJEybUPf/8899mZGQczj1TOu1whwOTts1jkPZrGmrd+P0ak8WEI7Hbb3t8aEweH7qxdV9Nb1kD+GUsIiF6uq9W7Elb8+/ibFe12+ZItrkLzhtccuIZ/bv1hi4As2fPrgJYvXq1o6SkpNUP26JFi1KGDx/eePXVV1cCPPLII3v79OmTt27duvj8/PzGf/zjH+nz588vzszM9GVmZvouu+yy0oULF2ZMnz69Jj4+Xt9zzz0HAUymw6pDd5qM8Ski4vP6Kd1Vyzt/3UBdZRMZ/RM4539OJDkzxrddtZgwJ9nw1Xx3C2Zr/wS0kqQuRE/21Yo9aZ/8Y9sgn9dvAnBVu22f/GPbIIBoJvbJkycPb+9+6suXL9/W3vIbN260jx492hV8npSU5B8wYEBTUVFRfP/+/T2lpaXWk046qXl6Xl5ew7Jly1KiFX9nHW5SHx3VKESP11jvYemTRTS5vACU7anjvf/dyHk35mJPiM19gwGU3UzK5SOpfnUH3gMubAMTSZ4+DEui3A9WiJ5szb+Ls4MJPcjn9ZvW/Ls4O5pJvaOk3ZH6+npTRkaGt2VZYmKir6amxlxdXW0CSE9Pb24uTElJ8dXX18dshK5OJXWlVDJwPJCglBoRLNdafxDtwETP4mnyNSf0oP07avD7/DGKyGCNj0Nn+kmdfbzR5G5SmJxWTGYZ9U6InsxV7Q57/q6t8lhxOp3+mpqaVj8odXV1pqSkJF9ycrIfoLKy0uxwOLwA1dXVJqfTGbPB0iJO6kqpK4GnMG7O4moxSQNDwy0jeg9rnBlbvBl3i/PXmQMTMZli373CZrcbYxUKIY4ajmSbO1wCdyTb3OHmP1yTJk0a0V7z+8qVK9sdayUnJ6dh8eLFGcHnNTU1pt27d8fl5uY2Bs6jez7//HPHRRddVAOwfv16x8iRIxuj+Ro6ozNn7h8Epmut+2qth7R4SEI/BsQ7LJx7w4nEB5rakzPtnHVNDvYe0FnO6/ZRX9VE5YF66qub8Hlj23oghOhYwXmDS8wWU6svq9li8hecN7gkmttZuXLlVpfLtS7cI5jQPR4PLpdL+Xw+5fP5lMvlUh6P0Vl95syZVVu3bo1fuHBhisvlUoWFhf1GjhzZkJ+f3wgwffr08rlz5/YrLS01r1u3Ln7RokUZV155ZXMv+oaGBuVyuRSA2+1WLpdL+f1d9xvVmeZ3C/BuVwUiejaz1Uy/4Slccvd4fB4/FpupZyR0j59dmyp497mN+Dx+bHYLP7o5l75Dkgjc6S+mfHVu47SA2YTZGbu+B0L0NMHz5j2h93thYWHW448/3i/43Ol0ps2ZM2ffY489tjcrK8v74osvbp8zZ87A66+/fujYsWPrlyxZsiM476OPPrp31qxZg4YMGTI2Li7Of/PNN++fPn1682Xfw4cPH7N3714bwLRp00YAfPPNN18df/zxUW2RCFKR3Q4dlFK3AYnAA1rrHlcVKigo0GvWrIl1GKKb1Vc1sei+VXhanBZIyohn2h0FOJJid9ChtcZb6qLipc149tVj7Z9A2iXHY81wxCwmIcJRSq3VWhccyTqKioqKc3NzD7nGW3SdoqKijNzc3MGh5Z1pfp8D/AaoVUrtavmIVpBCdJbX42+V0AFqyhrxx/g6dV9NE2ULN+HZVw+AZ08dFX/7Gm9tU0zjEkL0bp1pfr+8y6IQ4jBZ4kwkpsdTW/5dv5R+w5KxWLpnoIe2+D0+fBWt+8p49rvQHrmDsBCi60Sc1LXWK7oyECEOhyPRxo9vyeO9hZso3VVL1sgUps4a1dyhL2bMYHJa8dd/NzKkOSVOBsURQnSpzl6nngecDmTQYqhYrfU9UY5LiIgopUjp6+D8m8bi92nMFhPxPaBDmt+iSbhoILWvFKMbfZgcFhIuGoSOi3VkQojerDPXqV8HPI7RA/5cYBlwFvBG14QmROTsCbHvid9SfGIC/gF+Eq8ZBh4/WE1Yku3EOZyxDk0I0Yt1pqZ+B3CO1vojpVSl1voipdS5wCVdFJsQneL3eDBZY19LD3IkJ+G1x+NubMBmd2DpQbEJIXqnziT1PlrrjwL/+5VSJq31MqXUoq4ITPQ83upqfKVlNO3YTnxODuaUFMzO2Nc8veUV1L73HvWrVpF01g9wnHIKltTUWIcFgNZmIB6tY9txTwhxbOhMUt+jlBqstS4GtgAXKKXKgC65gF70LL66Oiqe/1/K//IXo0Ap+j/5JAnfPwMVw3HWfVVV7PvNb6hbvhyA2mXLSJs9m4xbb8HsiO014fVVTXz25g72baum/wmpnHTeYBzJclK9Ldrvp7G+Du3XoBTxTqeM4S9EJ3Wm+vAwMCrw//3A34APgN9GOyjR8/jr6ij/61+/K9Ca/b/9Lb7KytgFBfhcruaEHlT50kv46+piFJGhodbNsr98xdef7KPqgIsNK0r4z8JNNLboDS9aa6qsp/HrChrf3U/jV2W4K+vx+eQSQCE6I+KkrrVeqLVeFvh/GZAKpGqtn4lkeaVUmlLqNaVUvVJqp1JqZhvzzVFK7VBK1Sil9iqlHldKyX3fY0x7PBAyXrG3spJIRyTsKspkgpDhYJXVEvMhYr1uPwe+rWlVtufrSrxuSVLhNNbUU//xPur/uRvX2oO43iyh9u3deGsbYh2aOAaMHz/++Li4uHEOhyPf4XDkDx48eEzL6fPnz0/Lyso60W6355955pnDDhw40NyEdODAAfMPfvCDYXa7PT8rK+vE+fPnpwWn7dy50zplypThffr0GauU+t7mzZu7vEdvp070KaXSlVJXKKXu0Fq7gSSlVP8IF38Ko6m+L3AZ8IxSKifMfP8Cxmmtk4AxQC5wS2fiFNFncjiIGzmiVVnyj3+EKcZN3CaHg+Rp01qVpV9/A6bEpBhFZDCZFRZb669XnMOC6gF3teuJzD5Fw+qDrcqaNlZg8ktfBNE9HnrooV3BG70UFxdvCJavWbMm/vbbbx/03HPPfbt///4iu93uv+aaawYFp1977bUDbTab3r9/f9H//u//fvvLX/5y4Jo1a+IBTCaTPuuss6oXL168vbteR2cuaTsDeBVYA0zEaI4fAfwC+FEHyzqBacAYrXUd8LFS6l/AFcCdLefVWrd88QrwA8MjjVN0DUt6OgP++lfK5s+n8auvSJg6ldSLL455RzlzUhJ9bptD8rnn4lqzBucZk7ANHowpPrbnruMcFk6bMYIPF202ChRMunRkj7iGvkdSCuPrrsOUi95q/X/+nbbqlZey66sqbc6UVPcp0y8tyfvBed1+Q5f2LFy4MH3KlClV5557bh3AvHnz9ubl5eVUVlaazGYzb7/9duratWs3Jicn+88+++y6qVOnVj///PPpBQUFJQMGDPDeeeedpcE7vnWHzjRr/xG4WGv9vlIqeCL1M2B8BMuOBLxa6y0tyoqAM8LNHGian49xA5ky4PZOxCm6iLVvX/oWFuJ3NWBKSsRk6RlnRSxpaVgmTsA5cUKsQ2lmsZkZXtCXAaPSqDroIrWvkzinBXOMh6/tqcwOGwmnZ1G3fE9zmT0/E1OcdJRri8/joaGulvqqShxJSdjsTuJi3HLWGev/8++0D1/46yCfx2MCqK+qtH34wl8HAUQzsU+ePHl4e/dTX758+TaABx54IPuBBx7IHjJkSNP9999f8sMf/rAW4Ouvv44/5ZRT6oPL5OTkNFmtVr1hw4Z4k8mkLRaLHjt2bPNNHcaOHev6+OOPE6MVf2d15ld5sNb6/cD/wcNpd4TrSABqQsqqMZL2IbTWi4HFSqkRwCzgQLj5AgPiXAcwcODACMIQR8oUH48pPj7WYRwV4uwW4uwWkjLssQ6lxzPZzCSe1p+4ock0fl1B3LAU4gYlYXb0rEGFepKDxTv4xwO/xu/z4vf5mXzlz8j5/pnY4o+Oz9uqV17KDib0IJ/HY1r1ykvZ0UzqwaTdnnnz5u3Jz89viI+P1wsWLEi7+OKLh3/++eebcnJymlwulzk5OblVZ5iEhARfdXW12WKxaKfT2aqzUXJysq+uri5mR6OdSeqblFJna63faVF2JvBVBMvWAaEnOZOA2vYW0lpvVUptBJ4GfhJm+rPAs2DcejWCOIQQPZTZacU+Ig37iLSOZz7G1VdXsWH5f5j5mz9g8VsgzsSGT96jyeU6apJ6fVVl2CO2tsq70pQpU5pr4jfffHP5kiVL0l5//fXknJycgw6Hw1dTU9Pq4KO+vt6cnJzsM5lMur6+vtW0mpoac0JCQsx6xHYmqd8OLFVKvQXYlVJ/AX4ceHRkC2BRSo3QWm8NlOUCGyOMcVgn4hSix/DV1OBvbMQUH485Kbad90TvYTKZGH/6RdQt2kljkw9MMPqsiZj8R08fBGdKqjtcAnempEZ17JNJkyaNaK/5feXKlVtDy5VSzVf2jBo1qvHLL79sPq+xadMmm9vtVmPGjGk0m814vV711VdfxZ144olNAF9++aX9hBNOiNllG525pG0VMBYjET8P7AAKtNarI1i2HvgncL9SyqmUmghcALwYOq9S6lqlVJ/A/6OBu4D3Q+cToqdzl5RQMuc2dpz/Q/YW3oln//5Yh9Sj+bw+6qubqNxfT11Vk1z+1w6L30rD2/vRTYF95AfXf/ZhMx8dtXSAU6ZfWmK2Wls1XZutVv8p0y8tieZ2Vq5cuTXYqz30sXLlyq1lZWXmV199NcnlcimPx8MzzzyTtnr16oQf//jH1QBXXnll+QcffJDy9ttvJ9TU1Jjuuuuu7LPPPrsqNTXVn5SU5D/77LOrfvWrX2XV1NSY3n33Xed7772XcvXVV5cHt+9yuVRDQ4MJoLGxUblcri498upM7/dk4BpgHMY58hHA1MARzVkRrOJGjIOBg0A5cIPWeqNS6nRgmdY6eCQ1EXhQKZUAlAL/AO6ONE4hegJvWTl7rr+Bpq1GJaBu+XJKKivp//RTWNKkeTmU9msO7qzlzT8X4Wn0YbaaOPtnOQwYlYbFKp3lQplMZrylIZVBnwbv0XMWMnjePNa9391ut7r33nuzZ82aFW8ymfTQoUMbFy9evD3Y+a2goKDxD3/4w86rrrpqSFVVlWXChAk1ixcvLg4u/9xzz+287LLLBvft2zc3JSXF+8gjj+wqKChoDE53Op3jgv/n5eWNAdBar+2q16MiHTxEKfUuYAZeA1p9mrTWz0U/tM4pKCjQa9asiXUYQgBGLX371DMPKR/+4XKsxx0Xg4h6tvrqJl79/VpqK5p/C7HFm5l53yk4U2Ro3VD+Ri8V/9hC48bmCiGmRCt9bxmHObFzp6SVUmu11gVHEk9RUVFxbm5u2ZGsQ3ROUVFRRm5u7uDQ8s6cUz8FyAgMOiOEaIeyWjElJuKv/a4vqDkjA2Qs87C0X7dK6ADuRh8+r7+NJY5xVhMJ5w4BEzRtq8ba14HzvCF4zQr5hB3bOnPR7MfACV0VSKxorfH4ZTxuEV3m5GSy5j2ECtxuVcXFkfX73/eYu8f1NGaLieOGtu5ImJxpx2KTFBVOQ52Hfz5VRHFCHOqi4ZQfn8brz23C3Sj9EI51nampXwn8Wyn1GSHXjWut749mUN2lrKGMt3a8xcbyjVww7AJy0nNIiU+JdViiFzDFxeGcMIFh7/0HX1UV5tRUzElJqB4yYE9PY0+0cda1Y/jgxa/Zu7WKPoOSmDp7FPZEGYGvLXUVTXy2bGerMr/v6DmnLrpGZ35hHgQGAMW0vub8qPwUlTeUc8N7N/BNxTcALPt2GXeNv4ufHv9TLCb54RVHzmS3Y7LbsfbtG+tQjgoOq4czLx6Ez9Mfs9lEXLw35jfm6alsdgs5Z2Sz/t1dzWUZAxKwxUvLxrGuM9nrEmCk1npfVwXTnWrdtc0JPej5Dc9z1qCzyHBkxCgqIY5NfrebmmXL2H/Pvc1lGTfdSNrVV8f8/gI9kdVmZtxZA0nt42Db2oP0HZLImDP6Y+9kJznR+3TmnPoOoNecfDapQ1+61Ww17ikhhOhWvupqDj7yh1ZlZc/+FX9dXYwi6vlsvgaG9K3ntLF1jBlUT5xX9pXoXE39ReBfSqk/c+g59Q+iGlU3SLQlckq/U1i1b1Vz2S35t5AaJx2Z2lPTVEOTrwmH1YHTKjUoESVa46+vb13m8YBPOn6F4/d4qH7zTQ787sHmMufkyWQ9NBdLivQLOpZ1JqnfFPg7N6RcA0OjE073SY1P5fen/54vDn7B5orNTB00leyEbMwmOScVjtaaPbV7uH/V/Wyu2MzE7Inc9r3byHRkxjo00QuY7HYSzzuP2qVLm8sc409C2Y+eEdK6k7+qirInn2pVVr98uXFgJEn9mBZxUtdaD+nKQGIhzZ7GmYPO5MxBhw4SIlorbyznmnevYV+90aVi6Y6l1HvqefC0B0m0xewug6KXMCcmctxddxF//EjqVqzEUVBA2uWXySWAbdCA9oe5hj/CwcRE7yU3dxYRafA0NCf0oBV7VtDobWxjCSE6x5KeRvpVVzHgqSfJuOlGLBnSYbUt5uRk0n/2s1ZljlNOwSSdCg/L3LlzM8eMGTPKZrONmzZt2uDQ6W+88UbikCFDcux2e/7JJ588csuWLc09EhsaGtSMGTMGJyQk5GdkZOTed999fSNddsGCBan5+fkn2O32/PHjxx8fjdciSV1EJM4Sh9XU+prh/gn9w3Y4FN8pbyhnf/1+Khq6dTjro5ayWDAnJ2OyyvXp7THZbKTMmM6A5xaQfNGFHPe7B8h+9A/SsnGYsrOzPYWFhftmzJhxyFC3+/bts1x++eXD7r777r3l5eXr8/LyXDNmzGg+5fyLX/wia8eOHXHffvvtl+++++7mJ5988rhXXnklKZJlMzIyvDfddNOBm266KWp3e5ILsn1e8DZCXNg784mARGsid518F79b9Tv82o/dYufB0x4kLT72Nydx+9xUN1XT4G3AYXGQEp8S87EG/NrP9qrt3PbhbRTXFDMiZQSPff8xBicPjmlcovewpKSQMHEizlNPRZmOzoPrulV702re353tr3XbTIk2d9LUASUJp2R1+xHw7NmzqwBWr17tKCkpaXVd4KJFi1KGDx/eePXVV1cCPPLII3v79OmTt27duvj8/PzGf/zjH+nz588vzszM9GVmZvouu+yy0oULF2ZMnz69pqNlL7zwwlqAxx57LGrNUsd2Uq/dD5//BfZ/BWMvhWGTwRH7JNUT2a12zh1yLqdnn05lYyXp9nSS45JjPjiIx+dh7YG13PbhbdR56kiPT+eZM59hVPqomMZV0VjBTe/f1HzKYmvVVm5dfivPn/086fb0mMYmepejOaFXLf12EF6/CcBf67ZVLf12EEA0E/vkyZOHt3c/9eXLl29rb/mNGzfaR48e7Qo+T0pK8g8YMKCpqKgovn///p7S0lLrSSed1Dw9Ly+vYdmyZSkdLZufn98l5y6P3aRedxBe+BGUbTGeb/0PTL0PTr0JLDKAQzgJ1gQSrAkc5+w5dxmrbKrk9g9vp85jXKNb3ljOL1f+khfOeSGmybPJ13RIH4Qd1TvkPgNCBNS8vzs7mNCbef2mmvd3Z0czqXeUtDtSX19vysjI8LYsS0xM9NXU1Jirq6tNAOnp6c3XXqakpPjq6+vNHS17JDG15+g8xIuGxqrvEnrQ5/OhoTI28YjD0uRrotZT26psZ81OfDq21zfbTDbS41sfVPRP6B/z0wI9WZ27jr11e1mxewW7anZR667teKFjmF/7KWsoY0/tHkpdpTR5m2IdUqf4a91ha09tlceK0+n0hybhuro6U1JSki85OdkPUFlZ2Ty9urra5HQ6fR0t21XxHrtJ3Rzmc2NLABlrun1+P3h6To93uymOPo4+rcrGZIzBqmI73kBqfCpPTH6iuc9Bpj2Tx77/2CGJXhg8Pg8fl3zMOa+ew88/+Dnnv3Y+r297nQZPQ6xD67F21uxk5lszOfef5/Kj13/Ep/s+PaquRjEl2sLexrut8sM1adKkEQ6HIz/cY9KkSSM6Wj4nJ6dh06ZNjuDzmpoa0+7du+Nyc3MbA+fRPZ9//nnz9PXr1ztGjhzZ2NGy0XyNLR27ST0uEU744XfPlYKzHgSnDKbSprpS+Gw+/PNnsOGfUF8e64hI1Zr5E37HsJRhAIzNGMsfvldIqi+29+G2mCzkZOTwyo9eYdlPlrHkR0sYmToy5n0Qeqqqpioe/OxBdIv7Q/1x7R8PaYURhsrGSu766K7mUzz1nnruWHEHNe6aGEcWuaSpA0qwmFp/US0mf9LUASXR3M7KlSu3ulyudeEeK1eu3Arg8XhwuVzK5/Mpn8+nXC6X8niMU2UzZ86s2rp1a/zChQtTXC6XKiws7Ddy5MiG4Dnx6dOnl8+dO7dfaWmped26dfGLFi3KuPLKK8siWdbr9eJyuZTX61V+vx+Xy6WampqO6Efi2G0LdKTDj/4IJ18PBzfBsKmQ0Fdq6m2pL4N/zIadnxjPv/4XnHYbnHEHWGM36pfZ08iIN+/gudNuwZfcH2vpZlKXXA1XvhWzmIIs7noyG+uM0zyZJ4CKg3gZqCccjaa6qbpVmdvvxuv3trHEsc2nfYfckKrR14jL62pjiZ4neN68J/R+LywszHr88cf7BZ87nc60OXPm7Hvsscf2ZmVleV988cXtc+bMGXj99dcPHTt2bP2SJUt2BOd99NFH986aNWvQkCFDxsbFxflvvvnm/dOnT68B6GjZp59+Ov3WW28d3GK7437yk5+Uv/rqq8WH+1qU7iUjEBUUFOg1a9bEOozeq3InPDG2dZnVAbesh8QY3lq0vhT+Ng32FX1XNurHcMGTEJ8cu7g8Lli/GN66/buyi56FnIukI2YYNa4KfvPfe1i+Z0VzWU56Dk9P/hNpzj7tLHlsqm6q5hcf/oJV+7+7d0WSLYnXL3i900M3K6XWaq0LjiSeoqKi4tzc3EOu8RZdp6ioKCM3N3dwaPmx2/weUFHfxMGaRuqbpEbQrnBj4lviuj+OUM5MuPRlGHcl9BkNE26B8x+NbUIHaKiGd3/TumzZHSCD0ISV5Pdw76grmT3yYkakjGDG0B/zp+/dQVqMT6P0VMlxydx/2v3k98kHYEDiAJarNVcAABNsSURBVOafOV9uSCWO3eZ3r8/P1oN1FL76JTtK6/nB6L786rxRZCb2gETVE9kSYOwl8OXL35VNuRvsPeBHJCkLznkIPPUQl9QzDjb8Xgjt5NVYBVqSVFhak/63n3LzqB9yVfZ5OMu2Ev/CRXDDp7GOrMfq5+zHE5OfwOP3YFIm0uPTpc+GOHaTekW9m4uf/S81DUYN/bV1JZiU4v4LcnDGHbO7pW32FDj7Qci9FPashpFnQcqgntOUbHMYj57CaocB42H359+VDZsa0/4HPVpcEhRcQ9zKh2k+JMu73DiYFG0yaSdmrVF+JKELoBub35VSaUqp15RS9UqpnUqpmW3M90ul1AalVK1S6lul1C+7Ip4Kl7s5oQe99/UB6qQZvm3ODBj2fTjjl9Av10j0IjxnBvz0RSi4GvqMgpNvgIue6RktGz2RzQGnXA+z34RTboRL/w4/+C3YY3wapQerqanGX7kb/fVbULaFqoqD+OR0xTGvO6ukTwFuoC+QB7yllCrSWm8MmU8Bs4AvgWHAu0qp3Vrrl4miZLsVkwJ/i36CwzITsJmP+W4G7fL7NW6fn3ir3He+I5WmVMrz7qJpZA3xCSmkqkRkEOK2uczJ1GWMp9qRT5LdgtNsQerp4dU3ujHt/i9Jr1zafEqnYfzNNJ12G46kmHzK/H6/X5lMpt7R87qH8/v9Cgg7gE23JHWllBOYBozRWtcBHyul/gVcAdzZcl6t9cMtnm5WSr0BTASimtQT4iz86rxRzP331/g1pDqszJt2IqnOHtKc3AOV1TXx+roSVhdX8sOx/Zg4PIO0HrK/fH5Nk9eH3WruEc2QtY0eHnlnC4s/39Vc9j+ThnLr1BE45PTOIbw+P//dUc51L67F59coBXMvOpEL87OwW2V/hbI2VWD7zy9b9dGwr34K76nXQ2wOHTeUlpaOzszMrJbE3nW01rjdbuvevXsTgI/DzdNd35aRgFdr3XJc1iLgjPYWUsav8+nAX9qYfh1wHcDAgQM7FVBivJVLThrA+WP7UdfoJdlu7TEJqieqqG/ipkVf8Nm3Ru/tdzbu54bvD+OWqSOwx7jWXlbXxD+/2MOqHRWcndOXH4w+LubvZV2Tl5dX72pV9r+fFHP1aUMkqYdRUe+m8NUv8QWazrSG3765kSkn9JGkHoYJjPtXtKT9KF9UB2OLmNfrvXb//v0L9u/fPwa5qqor+ZVS1T6f709+v/+ZcDN017clAQgd6qga6GgkjvswPiD/G26i1vpZ4FkwrlPvdFDxVhLirSCn7TrkcvuaE3rQwk+KuXri4Jgm9cp6N3P+f3v3HmVVeZ9x/PvAcJ0BEUEUjWKiEtQlWDFmmXqPGi8xRrK6UEK1qbVqTZdRs7QGU0MwqSvVmEaNMVHxEm9J1RqjqWk1Ldikhnqhy4qogIJKABVkkJvw6x/vO3g4Dshw2fvMnuez1lmcs8++/ObCPHu/+z3ve88zTHk5jW73+IwFTJ+3hMtOGFF6h8f6X8j40BJrszZgUev6gbRi9VpW+x5xu5r69GPt/mPp9vTkDxYO2gt6NZdSz4EHHrgAOLmUg9t6ijqjagX61y3rD2xwDEhJ55PurZ8YEZ1rpoIK6tZOk3avHuWfkL+3as26QG9z37S5pY870NyziS8esMt6y8YdvHvpJxqNqnePbhy+9/pTSo/YuV/prUANq2czOmoCa4/4Buw8kjhgPGvHP0j3MgeCsoZQ1F+YmUCTpL0i4qW8bCRQ30kOAElfId1rPywi5hVUo21Ec68mTv2TXbj/6Q+GZb742OFs16fcZu5u3fhQh8feTeUHQf8+PZhw4giOHL4j/zFzIcfuM4TRw7anxaHergF9e/K9L43k6t/M5MmXF3HAbgO47PgR7NDSAGMONCi1DEaHfg0O+grq0Rc10kc6rTSFDRMr6R5Si+RZpN7vjwCH1Pd+lzQOuBo4MiJe2NT9e5jYbe+t1pXMmL+UZ15bzBHDB/Ox7fuwXd9yQ33pitVc/a8vMvl3r65b9vef34fTD96NXg0Q7pA6tzRC573OYPmq92ld+T59enanpVePssvpErbGMLHWOIoM9YHALcAxwFvApRFxl6RDgUcjoiWvNxvYFahtcr8zIs7Z2P4d6l3X28tWMWthK8+8tphD9tyBXQb0YUDJJxtmnYVDvVoKawuMiLeBU9pZPgU++DhqROxRVE1WDQObezKweSCjh/lT4GbWtZXf08nMzMy2Coe6mZlZRTjUzczMKsKhbmZmVhEOdTMzs4pwqJuZmVWEQ93MzKwiHOpmZmYV4VA3MzOrCIe6mZlZRTjUzczMKsKhbmZmVhEOdTMzs4pwqJuZmVWEQ93MzKwiHOpmZmYV4VA3MzOrCIe6mZlZRTjUzczMKsKhbmZmVhEOdTMzs4ooLNQlDZT0gKRlkl6VdPoG1jtS0hOSlkiaU1R9ZmZmnV2RV+rXA6uAIcA44EeS9m1nvWXALcDXC6zNzMys0ysk1CU1A2OAyyOiNSKmAg8B4+vXjYinIuIOYFYRtZmZmVVFUVfqewPvR8TMmmXPAe1dqW8ySWdLmiZp2sKFC7eoQDMzs86uqFBvAd6tW7YE6LclO42ImyJidESMHjx48JbsyszMrNMrKtRbgf51y/oDSws6vpmZWeUVFeozgSZJe9UsGwk8X9DxzczMKq+QUI+IZcD9wERJzZI+A3wBuKN+XUndJPUGeqSX6i2pZxF1mpmZdWZFfqTtPKAPsAC4Gzg3Ip6XdKik1pr1DgOWA48Au+XnjxVYp5mZWafUVNSBIuJt4JR2lk8hdaRre/1bQEXVZWZmVhUeJtbMzKwiHOpmZmYV4VA3MzOrCIe6mZlZRTjUzczMKsKhbmZmVhEOdTMzs4pwqJuZmVWEQ93MzKwiHOpmZmYV4VA3MzOrCIe6mZlZRTjUzczMKsKhbmZmVhEOdTMzs4pwqJuZmVWEQ93MzKwiHOpmZmYV4VA3MzOrCIe6mZlZRTjUzczMKqKwUJc0UNIDkpZJelXS6RtYT5KukvRWflwlSUXVaWZm1lk1FXis64FVwBBgFPArSc9FxPN1650NnAKMBAL4DTAbuLHAWs3MzDqdQq7UJTUDY4DLI6I1IqYCDwHj21n9DODqiJgXEa8DVwNnFlGnmZlZZ1bUlfrewPsRMbNm2XPA4e2su29+r3a9fdvbqaSzSVf2AK2SXtzM+gYBizZz223JdXWM6+q4Rq3NdXXMltS1+9YsxMpVVKi3AO/WLVsC9NvAukvq1muRpIiI2hUj4ibgpi0tTtK0iBi9pfvZ2lxXx7iujmvU2lxXxzRqXVa8ojrKtQL965b1B5Zuwrr9gdb6QDczM7P1FRXqM4EmSXvVLBsJ1HeSIy8buQnrmZmZWY1CQj0ilgH3AxMlNUv6DPAF4I52Vr8duFDSLpKGAhcBk7dxiVvchL+NuK6OcV0d16i1ua6OadS6rGAqqlVb0kDgFuAY4C3g0oi4S9KhwKMR0ZLXE3AVcFbe9KfAJW5+NzMz27jCQt3MzMy2LQ8Ta2ZmVhEOdTMzs4rosqEuqZekm/M49EslPSvp+LLrApB0p6Q3Jb0raaaksz56q+JI2kvSCkl3ll1LG0m/zTW15sfmDkS01UkaK+mFPO/BK7kfSZn1tNY91kj6YZk1tZE0TNIjkt6RNF/SdZKKHM56Q3WNkPS4pCWSXpb0xRJqOF/SNEkrJU2ue+9oSTMkvSfpCUkeUKaL6rKhThp4Zy5pVLvtgAnAfZKGlVhTm+8CwyKiP3AyMEnSgSXXVOt64A9lF9GO8yOiJT+Gl10MgKRjSB0//4I02NJhwKwya6r5HrUAOwHLgZ+XWVONG4AFwM6kOSIOB84rs6B8UvEvwMPAQNIolndK2rvgUt4AJpE6HNfWN4j06aLLc33TgHsLrs0aRJcN9YhYFhFXRMSciFgbEQ+TJo4pPTwj4vmIWNn2Mj8+UWJJ60gaCywG/r3sWjqJbwETI+L3+ffs9TynQaMYQwrRKWUXku0B3BcRKyJiPvBrNjBMdIE+CQwFvh8RayLiceBJ2p+7YpuJiPsj4kHSp4dqnQo8HxE/j4gVwBXASEmfLLI+awxdNtTrSRpCGqO+IQa6kXSDpPeAGcCbwCMll4Sk/sBE4MKya9mA70paJOlJSUeUXYyk7sBoYHBusp2Xm5P7lF1bjTOA2xvoI6PXAmMl9ZW0C3A8KdgbjYD9yi4iW2++jDwuyCuUfzJkJXCoA5J6AD8DbouIGWXXAxAR55Gaaw8lNa2t3PgWhfg2cHNEzCu7kHZcAnwc2IU0EMcvJZXdujEE6AF8ifRzHAUcQLrVU7p83/Vw4Laya6nxn6QweheYR2pKfrDUiuBFUmvG1yX1kHQs6fvWt9yy1qmfLwM2PLeGVVyXD3VJ3Ugj260Czi+5nPXkpr6pwK7AuWXWImkU8Fng+2XWsSER8d8RsTQiVkbEbaTm0RNKLmt5/veHEfFmRCwCrqH8utqMB6ZGxOyyC4F1/xd/TTqJbSbNPLY9qU9CaSJiNXAKcCIwnzTK5X2kk45G0JG5NaziunSo59HrbiZdUY3J/3kbURPl31M/AhgGvCZpPnAxMEbS02UWtRFBaiItr4CId0h/+GubthulmRvgz2msq/SBwG7Adfnk7C3gVhrgJCgipkfE4RGxQ0QcR2oVeqrsurL15suQ1Ez6e9EQtxKtWF061IEfASOAz0fE8o9auQiSdswfgWqR1F3SccBplN8x7SbSH4pR+XEj8CvguDKLApA0QNJxknpLapI0jtTLvBHuxd4KfDX/XLcHvkbqRV0qSYeQblU0Sq93ckvGbODc/HMcQLrnP73cykDS/vn3q6+ki0m98ycXXEOTpN5Ad6B72+878ACwn6Qx+f1vAtMb5VaiFavLhnq+n/jXpICaX/OZ3XEllxakpvZ5wDvAPwIXRMRDpRYV8V5EzG97kJr8VkTEwjLrynqQPuqzEFgEfBU4JSJmllpV8m3Sx/9mAi8AzwBXllpRcgZwf0Q0WhPtqcDnSD/Ll4HVpBOhso0ndVhdABwNHFPzCZWiTCDd0rkU+HJ+PiH/HxxD+r16BzgYGFtwbdYgPPa7mZlZRXTZK3UzM7OqcaibmZlVhEPdzMysIhzqZmZmFeFQNzMzqwiHupmZWUU41K1LkzRH0mdLPP65kv6Yx0jYoZ33b5R0eRm1mVnn01R2AWZdVZ5I6Brg0xHxXHvrRMQ5xVZlZp2Zr9TNtoI8XGdHDQF64zG6zWwrcahbQ8rN4hdLmi5piaR781jXZ0qaWrduSNozP5+c56J/NDdpPylpJ0nXSnpH0gxJB9Qd7iBJ/5ffvzWPn92275MkPStpsaT/krR/XY2XSJoOLGsv2CX1ysd+Iz+uzcv2Jk3pCbBY0uMb+D5MljQpPx8k6eFcy9uSpuSZzch1vC5pqaQXJR1dv31+fYSkeTWvh0r6Z0kLJc2W9Lc1731K0jRJ7+ZbBNds/KdmZmVzqFsj+zPSOOB7APsDZ3ZguwmkqTtXAr8Dns6vf0Fq8q41jjQxzSeAvfO25PC/hTRHwA7Aj4GHJPWq2fY00pScAyLi/XZq+QbwadIcAyOBT5HG655JmjecvO1Rm/B1XUSaE2Aw6Sr/MiAkDSdNG3xQRPTLX8ucj9pZPiH4JfAcaXKXo4EL8iRCAD8AfhAR/Unfm/s2oUYzK5FD3RrZP0XEGxHxNil8Rm3idg9ExP9ExArSDFYrIuL2iFgD3AvUX6lfFxFz83GuJAU1wNnAj/Nc7WvyPO0rSSFdW+PcjczyNw6YGBEL8sQb3yJNDrI5VpNmB9s9IlZHxJRIkzesAXoB+0jqERFzIuKVTdjfQcDgiJgYEasiYhbwEz6YDGQ1sKekQRHRGhG/38y6zawgDnVrZPNrnr8HtGzidn+seb68ndf1+5lb8/xVYGh+vjtwUW7uXixpMfCxmvfX21bSuJrZ/h7Ni4fmfba3//VIuqxm+xvbWeV7pJnLHpM0S9KlABHxMnABcAWwQNI9kto9Rp3dgaF1X99lpFYAgL8ktVzMkPQHSSdtwj7NrEQOdetslgF9215I2mkr7PNjNc93A97Iz+cCV0bEgJpH34i4u2b9ddMcRsTPIqIlP47Pi98ghWd7+19PRHynZvsP9XqPiKURcVFEfBw4Gbiw7d55RNwVEX+ajxXAVXmz9b5fQO33ay4wu+7r6xcRJ+R9vhQRpwE75v39QlJze7WbWWNwqFtn8xywr6RRuUPbFVthn38jaVdJA0n3wO/Ny38CnCPpYCXNkk6U1K8D+74bmCBpsKRBwDeBOzenyNxpb09JApaQmt3XShou6ah8r38FqTVibd7sWeAESQPzCdAFNbt8CliaO9n1kdRd0n6SDsrH+7KkwRGxFlict1mLmTUsh7p1KrmD2UTg34CXgKkb32KT3AU8BswCXgEm5WNNA/4KuA54h9T0fWYH9z0JmAZMB/6X1GFv0ka32LC9SF93K6nz3w0R8QTpfvo/AItItyx2BP4ub3MH6URoDulrbDthIfcxOInUV2F23v6nwHZ5lc8Bz0tqJXWaG7uRvgNm1gCU+tmYmZlZZ+crdTMzs4pwqJuZmVWEQ93MzKwiHOpmZmYV4VA3MzOrCIe6mZlZRTjUzczMKsKhbmZmVhH/D0WWDyQp3ZRAAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_issues(adf_8_1p1v, \n",
+ " '1p1v avg. wellfare loss vs n issues, 1 Prop8 and rest $\\mu=0$', \n",
+ " hue='n-voters',\n",
+ " ylim=(0, 0.7))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "#### Just Prop8 issue and all but "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 378,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_issues(adf_8_1p1v, \n",
+ " '1p1v avg. wellfare loss vs n issues, just Prop8', \n",
+ " hue='n-voters',\n",
+ " ylim=(0, 1.1),\n",
+ " WL_col = \"Prop8-WL\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 379,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "### all but prop8 issue\n",
+ "plot_WL_vs_n_issues(adf_8_1p1v, \n",
+ " '1p1v wellfare loss vs n_issues - all but prop8 issue', \n",
+ " hue='n-voters',\n",
+ " ylim=(0,1.1),\n",
+ " WL_col = \"all-but-pop8-WL\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## QV Wellfare loss"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 380,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### WL vs Number of Voters"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "#### Avg WL of all issues"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 381,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_8_qv, \n",
+ " 'QV avg. wellfare loss vs n_voters - 1 prop8 calibration and rest normal $\\mu=0$', \n",
+ " hue='num_issues',\n",
+ " ylim=(0,1))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### WL of Just Prop8 and all but. \n",
+ "\n",
+ "This shows a surprising behvaior for issues above 6: WL increases with number of voters up to around 1000 voters and then decreases again. Why?"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 382,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_8_qv, \n",
+ " 'QV wellfare loss vs n_voters - just prop8 issue', \n",
+ " hue='num_issues',\n",
+ " ylim=(0,1),\n",
+ " WL_col = \"Prop8-WL\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 385,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_8_qv, \n",
+ " '1p1v wellfare loss vs n_issues - all but prop8 issue', \n",
+ " hue='num_issues',\n",
+ " ylim=(0,0.25),\n",
+ " WL_col = \"all-but-pop8-WL\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Wellfare vs number of issues"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "#### Avg of all issues"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 386,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_issues(adf_8_qv, \n",
+ " 'QV avg. wellfare loss vs n issues, 1 Prop8 and rest $\\mu=0$', \n",
+ " hue='n-voters',\n",
+ " ylim=(0, 0.7))\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### Just Prop8 issue and all but (plot for figure)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 478,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# plot_WL_vs_n_issues(adf_8_qv, \n",
+ "# 'QV avg. wellfare loss vs n issues, just Prop8', \n",
+ "# hue='n-voters',\n",
+ "# ylim=(0, 1.1),\n",
+ "# WL_col = \"Prop8-WL\")\n",
+ "\n",
+ "# plot_WL_vs_n_issues(adf_qv, 'QV wellfare loss vs n issues, $\\mu=0$', hue='n-voters')\n",
+ "\n",
+ "\n",
+ "f, ax = plt.subplots(figsize=(4, 3))\n",
+ "sns.lineplot(x=\"number-of-issues\", \n",
+ " y=\"Prop8-WL\",\n",
+ " hue='n-voters',\n",
+ " style='QV?',\n",
+ " markers=True,\n",
+ " ax = ax,\n",
+ " data = adf_8_qv[adf_8_qv['number-of-voters'].isin([11, 101, 1001, 10001])])\n",
+ "\n",
+ "ax.set(ylim=(0, 1), \n",
+ " xlabel = \"Number of issues\",\n",
+ " ylabel=\"Prop8 Wellfare Loss\")\n",
+ "\n",
+ "\n",
+ "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
+ "plt.savefig('figures/mQV_WL_vs_n_issues_prop8.png', bbox_inches='tight', dpi=300)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 389,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_issues(adf_8_qv, \n",
+ " 'QV avg. wellfare loss vs n issues, all but prop8', \n",
+ " hue='n-voters',\n",
+ " ylim=(0, .25),\n",
+ " WL_col = \"all-but-pop8-WL\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Wellfare loss of QV and 1p1v in multi-issue voting -- all utilities from normal distrubution with $\\mu=0$ except for one with Prop8 Calibration using normal distrubitons"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Dataframe prep"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {},
+ "outputs": [
+ {
+ "ename": "NameError",
+ "evalue": "name 'df2' is not defined",
+ "output_type": "error",
+ "traceback": [
+ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+ "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)",
+ "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mdf_prop8\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mload_csv_to_dataframe\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'2020.02.22-multi-issue-QV-non-strategic-voting-prop8-normal-dists.csv'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;31m# checking that mean-WL is 0 whenever maximial-utility? is True and is >0 when maximal utility is false\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0mall\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdf_prop8\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'maximal-utility?'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mapply\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;32mlambda\u001b[0m \u001b[0mmu\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mmu\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mceil\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdf2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'mean-WL'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
+ "\u001b[0;31mNameError\u001b[0m: name 'df2' is not defined"
+ ]
+ }
+ ],
+ "source": [
+ "df_prop8 = load_csv_to_dataframe('2020.02.22-multi-issue-QV-non-strategic-voting-prop8-normal-dists.csv')\n",
+ "# checking that mean-WL is 0 whenever maximial-utility? is True and is >0 when maximal utility is false\n",
+ "all(df_prop8['maximal-utility?'].apply(lambda mu: not mu) == np.ceil(df2['mean-WL']))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "df_prop8['Prop8-WL'] = df_prop8['WL-per-issue'].apply(lambda ar: ar[0])\n",
+ "df8_qv = df_prop8[df_prop8['QV?'] == True]\n",
+ "df8_1p1v = df_prop8[df_prop8['QV?'] == False]"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## 1p1v Wellfare loss"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {},
+ "outputs": [
+ {
+ "ename": "NameError",
+ "evalue": "name 'df8_1p1v' is not defined",
+ "output_type": "error",
+ "traceback": [
+ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+ "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)",
+ "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0madf_1p1v\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0maggregate_by_num_voters_num_issues\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdf8_1p1v\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
+ "\u001b[0;31mNameError\u001b[0m: name 'df8_1p1v' is not defined"
+ ]
+ }
+ ],
+ "source": [
+ "adf_1p1v = aggregate_by_num_voters_num_issues(df8_1p1v)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### 1p1v wellfare loss vs number of voters"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### Avg WL of all issues"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 319,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_1p1v, \n",
+ " '1p1v avg. wellfare loss vs n_voters - 1 prop8 normal-dist calibration and rest normal $\\mu=0$', \n",
+ " hue='num_issues',\n",
+ " ylim=(0,1))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### WL of Prop8 Issues"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 322,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_1p1v, \n",
+ " '1p1v wellfare loss vs n_voters - just prop8 normal-dist issue', \n",
+ " hue='num_issues',\n",
+ " ylim=(0,1.1),\n",
+ " WL_col = \"Prop8-WL\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### 1p1v wellfare loss vs number of issues"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### Avg of all issues"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 323,
+ "metadata": {
+ "code_folding": [
+ 0
+ ]
+ },
+ "outputs": [
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_issues(adf_1p1v, \n",
+ " '1p1v avg. wellfare loss vs n issues, 1 Prop8 normal-dist and rest $\\mu=0$', \n",
+ " hue='n-voters',\n",
+ " ylim=(0, 0.7))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### Just Prop8 issue"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 324,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_issues(adf_1p1v, \n",
+ " '1p1v avg. wellfare loss vs n issues, just Prop8 normal-dist', \n",
+ " hue='n-voters',\n",
+ " ylim=(0, 1.1),\n",
+ " WL_col = \"Prop8-WL\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## QV Wellfare loss"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 325,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "adf_qv = aggregate_by_num_voters_num_issues(df8_qv)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### WL vs Number of Voters"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### Avg WL of all issues"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 326,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_qv, \n",
+ " 'QV avg. wellfare loss vs n_voters - 1 prop8 calibration normal-dist and rest normal $\\mu=0$', \n",
+ " hue='num_issues',\n",
+ " ylim=(0,1))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### WL of Just Prop8\n",
+ "\n",
+ "This shows the same surprising behavior as for the flat distrubtion prop8 WL vs number of voters, but the WL peak occurs with slightly fewer voters and it happens with number of issues >= 4 intead of 6. "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 327,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_qv, \n",
+ " 'QV wellfare loss vs n_voters - just prop8 normal-dist issue', \n",
+ " hue='num_issues',\n",
+ " ylim=(0,1),\n",
+ " WL_col = \"Prop8-WL\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Wellfare vs number of issues"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### Avg of all issues\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 328,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_issues(adf_qv, \n",
+ " 'QV avg. wellfare loss vs n issues, 1 Prop8 normal-dist and rest $\\mu=0$', \n",
+ " hue='n-voters',\n",
+ " ylim=(0, 0.7))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### Just Prop8 issue"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 330,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_issues(adf_qv, \n",
+ " 'QV avg. wellfare loss vs n issues, just Prop8 normal-dist', \n",
+ " hue='n-voters',\n",
+ " ylim=(0, 1.1),\n",
+ " WL_col = \"Prop8-WL\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "# Wellfare loss of QV and 1p1v in multi-issue voting --all issues with Prop8 Calibration using flat distributions"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "## Dataframe prep\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 340,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": [
+ "df_all_prop8 = load_csv_to_dataframe('2020.02.22-multi-issue-QV-non-strategic-voting-all-issues-prop8-flat-dists.csv')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 341,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": [
+ "df8_qv = df_all_prop8[df_all_prop8['QV?'] == True]\n",
+ "df8_1p1v = df_all_prop8[df_all_prop8['QV?'] == False]"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "## 1p1v Wellfare loss"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 348,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": [
+ "adf_1p1v = aggregate_by_num_voters_num_issues(df8_1p1v)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "### 1p1v avg wellfare loss vs number of voters"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 349,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_1p1v, \n",
+ " '1p1v avg. wellfare loss vs n_voters - all prop8', \n",
+ " hue='num_issues',\n",
+ " ylim=(0,1))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "### 1p1v avg wellfare loss vs number of issues"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 346,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_issues(adf_1p1v, \n",
+ " '1p1v avg. wellfare loss vs n issues, all Prop8', \n",
+ " hue='n-voters',\n",
+ " ylim=(0, 1.1))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "## QV Wellfare loss"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 347,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": [
+ "adf_qv = aggregate_by_num_voters_num_issues(df8_qv)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "### QV avg wellfare loss vs number of voters"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 350,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_voters(adf_qv, \n",
+ " 'QV avg. wellfare loss vs n_voters - all prop8', \n",
+ " hue='num_issues',\n",
+ " ylim=(0,1))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "heading_collapsed": true,
+ "hidden": true
+ },
+ "source": [
+ "### 1p1v avg wellfare loss vs number of issues"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 351,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_WL_vs_n_issues(adf_qv, \n",
+ " 'QV avg. wellfare loss vs n issues, all Prop8', \n",
+ " hue='n-voters',\n",
+ " ylim=(0, 1.1))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.8.3"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/data-analysis/analysis-future-work/.ipynb_checkpoints/QV Prop8 correlating pmp with utilities-checkpoint.ipynb b/data-analysis/analysis-future-work/.ipynb_checkpoints/QV Prop8 correlating pmp with utilities-checkpoint.ipynb
new file mode 100644
index 0000000..7fec515
--- /dev/null
+++ b/data-analysis/analysis-future-work/.ipynb_checkpoints/QV Prop8 correlating pmp with utilities-checkpoint.ipynb
@@ -0,0 +1,6 @@
+{
+ "cells": [],
+ "metadata": {},
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/data-analysis/analysis-future-work/.ipynb_checkpoints/QV utility correlated with PMP vs. without correlation-checkpoint.ipynb b/data-analysis/analysis-future-work/.ipynb_checkpoints/QV utility correlated with PMP vs. without correlation-checkpoint.ipynb
new file mode 100644
index 0000000..7fec515
--- /dev/null
+++ b/data-analysis/analysis-future-work/.ipynb_checkpoints/QV utility correlated with PMP vs. without correlation-checkpoint.ipynb
@@ -0,0 +1,6 @@
+{
+ "cells": [],
+ "metadata": {},
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/data-analysis/analysis-future-work/.ipynb_checkpoints/mQV correlate n issues-checkpoint.ipynb b/data-analysis/analysis-future-work/.ipynb_checkpoints/mQV correlate n issues-checkpoint.ipynb
new file mode 100644
index 0000000..7fec515
--- /dev/null
+++ b/data-analysis/analysis-future-work/.ipynb_checkpoints/mQV correlate n issues-checkpoint.ipynb
@@ -0,0 +1,6 @@
+{
+ "cells": [],
+ "metadata": {},
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/data-analysis/analysis-future-work/.ipynb_checkpoints/mQV perceived utility-checkpoint.ipynb b/data-analysis/analysis-future-work/.ipynb_checkpoints/mQV perceived utility-checkpoint.ipynb
new file mode 100644
index 0000000..7fec515
--- /dev/null
+++ b/data-analysis/analysis-future-work/.ipynb_checkpoints/mQV perceived utility-checkpoint.ipynb
@@ -0,0 +1,6 @@
+{
+ "cells": [],
+ "metadata": {},
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/data-analysis/analysis-future-work/QV Prop8 correlating pmp with utilities.ipynb b/data-analysis/analysis-future-work/QV Prop8 correlating pmp with utilities.ipynb
new file mode 100644
index 0000000..c40fe56
--- /dev/null
+++ b/data-analysis/analysis-future-work/QV Prop8 correlating pmp with utilities.ipynb
@@ -0,0 +1,2220 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import pandas as pd\n",
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "import seaborn as sns\n",
+ "\n",
+ "\n",
+ "import matplotlib \n",
+ "font = {'size' : 12}\n",
+ "matplotlib.rc('font', **font)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "scrolled": false
+ },
+ "outputs": [
+ {
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+ " behavior-under-qv \n",
+ " calibration \n",
+ " variance-of-pmp \n",
+ " number-of-voters \n",
+ " voting-mechanism \n",
+ " marginal-pivotality \n",
+ " utility-pmp-correlation \n",
+ " limit-votes? \n",
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+ "0 1. prop8-mean>0 0.01 1001 QV \n",
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+ "\n",
+ " marginal-pivotality utility-pmp-correlation limit-votes? [step] \\\n",
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+ " \n",
+ "
\n",
+ "
6300 rows × 17 columns
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+ "
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+ ],
+ "text/plain": [
+ " [run number] payoff-include-votes-cost? majority-mean-utility \\\n",
+ "0 1 False 0.0 \n",
+ "1 64 False 0.0 \n",
+ "2 127 False 0.0 \n",
+ "3 190 False 0.0 \n",
+ "4 253 False 0.0 \n",
+ "... ... ... ... \n",
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+ "6297 6174 False 0.1 \n",
+ "6298 6237 False 0.1 \n",
+ "6299 6300 False 0.1 \n",
+ "\n",
+ " majority-utility-stdev minority-fraction behavior-under-qv calibration \\\n",
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+ "1 1 0 rational manual \n",
+ "2 1 0 rational manual \n",
+ "3 1 0 rational manual \n",
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+ "6297 1 0 rational manual \n",
+ "6298 1 0 rational manual \n",
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+ "\n",
+ " variance-of-pmp number-of-voters voting-mechanism marginal-pivotality \\\n",
+ "0 0.01 1001 QV 0.5 \n",
+ "1 0.01 1001 QV 0.5 \n",
+ "2 0.01 1001 QV 0.5 \n",
+ "3 0.01 1001 QV 0.5 \n",
+ "4 0.01 1001 QV 0.5 \n",
+ "... ... ... ... ... \n",
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+ "6299 0.01 1001 QV 0.5 \n",
+ "\n",
+ " utility-pmp-correlation limit-votes? [step] mean payoff-sign-list \\\n",
+ "0 -1.0 False 1000 0.932 \n",
+ "1 -1.0 False 1000 0.954 \n",
+ "2 -1.0 False 1000 0.931 \n",
+ "3 -1.0 False 1000 0.922 \n",
+ "4 -1.0 False 1000 0.941 \n",
+ "... ... ... ... ... \n",
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+ "6297 1.0 False 1000 0.996 \n",
+ "6298 1.0 False 1000 0.996 \n",
+ "6299 1.0 False 1000 0.999 \n",
+ "\n",
+ " average payoff wellfare-loss \n",
+ "0 0.93775 0.06225 \n",
+ "1 0.93775 0.06225 \n",
+ "2 0.93775 0.06225 \n",
+ "3 0.93775 0.06225 \n",
+ "4 0.93775 0.06225 \n",
+ "... ... ... \n",
+ "6295 0.99797 0.00203 \n",
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+ "6298 0.99797 0.00203 \n",
+ "6299 0.99797 0.00203 \n",
+ "\n",
+ "[6300 rows x 17 columns]"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "def color(x):\n",
+ " if x == \"1. prop8-mean>0\":\n",
+ " return 'blue'\n",
+ " else:\n",
+ " return 'orange'\n",
+ "\n",
+ "\n",
+ "\n",
+ "df = pd.read_csv('QV Prop8 correlating pmp with utilities data.csv')\n",
+ "df['wellfare-loss'] = 1 - df['mean payoff-sign-list']\n",
+ "df['color'] = df['calibration'].apply(color)\n",
+ "\n",
+ "df2 = pd.read_csv('QV varying-mean-utility-table 2.csv')\n",
+ "df2['wellfare-loss'] = 1 - df2['average payoff']\n",
+ "\n",
+ "\n",
+ "display(df)\n",
+ "\n",
+ "display(df2)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#ax = sns.scatterplot(x=\"utility-pmp-correlation\", \n",
+ "# y=\"wellfare-loss\",\n",
+ "# hue=\"color\",\n",
+ "# data = df)\n",
+ "#plt.title(\"blue='1.prop8-mean>0' orange='2.prop8-mean=0'\")\n",
+ "\n",
+ "df2 = pd.read_csv('QV prop-8-correlate-pmp-utils-table.csv')\n",
+ "df2['wellfare-loss'] = 1 - df2['average payoff']\n",
+ "\n",
+ "adf2 = df2[df2[\"number-of-voters\"] == 1001]\n",
+ "\n",
+ "\n",
+ "ax2 = sns.scatterplot(x=\"utility-pmp-correlation\",\n",
+ " y=\"wellfare-loss\",\n",
+ " data = adf2)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Now lets confirm the differences in trends that we see above: Correlating pmp with utilities will rarely swing a vote when it's mean utility is far from zero, any \"noise\" that it would generate wouldn't matter because the vote would still be made in the same direction as the one that would minimize wellfare-loss."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Text(0.5, 1.0, 'wellfare-loss with majority-mean-utility = 0')"
+ ]
+ },
+ "execution_count": 11,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
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+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "adf2 = df2[df2[\"majority-mean-utility\"] == 0.0]\n",
+ "#2 options, passionate group on side of mean\n",
+ "# passionate group on opposite side of mean \n",
+ "# at higher correlation, this will cause option 1 to succeed but option 2 to fail,\n",
+ "# this opposite is true at negative correlation\n",
+ "# While there is some correlation between the side of the passionate group and the side of the mean, it wasn't enough to create a significant difference\n",
+ "# I think this is the reason that we aren't seeing much change a normal distribution, it balances out (to an extent)\n",
+ "\n",
+ "ax2 = sns.scatterplot(x=\"utility-pmp-correlation\", \n",
+ " y=\"wellfare-loss\",\n",
+ " data = adf2)\n",
+ "plt.title(\"wellfare-loss with majority-mean-utility = 0\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
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+ " 1000 \n",
+ " 1.0 \n",
+ " 1.0 \n",
+ " 0.0 \n",
+ " 0.0 \n",
+ " \n",
+ " \n",
+ " 2097 \n",
+ " 2098 \n",
+ " False \n",
+ " -4 \n",
+ " 1 \n",
+ " 7 \n",
+ " 1 \n",
+ " 0.4 \n",
+ " rational \n",
+ " manual \n",
+ " 0.01 \n",
+ " 1001 \n",
+ " QV \n",
+ " 0.5 \n",
+ " 1.0 \n",
+ " False \n",
+ " 1000 \n",
+ " 1.0 \n",
+ " 1.0 \n",
+ " 0.0 \n",
+ " 0.0 \n",
+ " \n",
+ " \n",
+ " 2098 \n",
+ " 2099 \n",
+ " False \n",
+ " -4 \n",
+ " 1 \n",
+ " 7 \n",
+ " 1 \n",
+ " 0.4 \n",
+ " rational \n",
+ " manual \n",
+ " 0.01 \n",
+ " 1001 \n",
+ " QV \n",
+ " 0.5 \n",
+ " 1.0 \n",
+ " False \n",
+ " 1000 \n",
+ " 1.0 \n",
+ " 1.0 \n",
+ " 0.0 \n",
+ " 0.0 \n",
+ " \n",
+ " \n",
+ " 2099 \n",
+ " 2100 \n",
+ " False \n",
+ " -4 \n",
+ " 1 \n",
+ " 7 \n",
+ " 1 \n",
+ " 0.4 \n",
+ " rational \n",
+ " manual \n",
+ " 0.01 \n",
+ " 1001 \n",
+ " QV \n",
+ " 0.5 \n",
+ " 1.0 \n",
+ " False \n",
+ " 1000 \n",
+ " 1.0 \n",
+ " 1.0 \n",
+ " 0.0 \n",
+ " 0.0 \n",
+ " \n",
+ " \n",
+ "
\n",
+ "
2100 rows × 20 columns
\n",
+ "
"
+ ],
+ "text/plain": [
+ " [run number] payoff-include-votes-cost? majority-mean-utility \\\n",
+ "0 1 False -4 \n",
+ "1 2 False -4 \n",
+ "2 3 False -4 \n",
+ "3 4 False -4 \n",
+ "4 5 False -4 \n",
+ "... ... ... ... \n",
+ "2095 2096 False -4 \n",
+ "2096 2097 False -4 \n",
+ "2097 2098 False -4 \n",
+ "2098 2099 False -4 \n",
+ "2099 2100 False -4 \n",
+ "\n",
+ " majority-utility-stdev minority-mean-utility minority-utility-stdev \\\n",
+ "0 1 7 1 \n",
+ "1 1 7 1 \n",
+ "2 1 7 1 \n",
+ "3 1 7 1 \n",
+ "4 1 7 1 \n",
+ "... ... ... ... \n",
+ "2095 1 7 1 \n",
+ "2096 1 7 1 \n",
+ "2097 1 7 1 \n",
+ "2098 1 7 1 \n",
+ "2099 1 7 1 \n",
+ "\n",
+ " minority-fraction behavior-under-qv calibration variance-of-pmp \\\n",
+ "0 0.4 rational manual 0.01 \n",
+ "1 0.4 rational manual 0.01 \n",
+ "2 0.4 rational manual 0.01 \n",
+ "3 0.4 rational manual 0.01 \n",
+ "4 0.4 rational manual 0.01 \n",
+ "... ... ... ... ... \n",
+ "2095 0.4 rational manual 0.01 \n",
+ "2096 0.4 rational manual 0.01 \n",
+ "2097 0.4 rational manual 0.01 \n",
+ "2098 0.4 rational manual 0.01 \n",
+ "2099 0.4 rational manual 0.01 \n",
+ "\n",
+ " number-of-voters voting-mechanism marginal-pivotality \\\n",
+ "0 1001 QV 0.5 \n",
+ "1 1001 QV 0.5 \n",
+ "2 1001 QV 0.5 \n",
+ "3 1001 QV 0.5 \n",
+ "4 1001 QV 0.5 \n",
+ "... ... ... ... \n",
+ "2095 1001 QV 0.5 \n",
+ "2096 1001 QV 0.5 \n",
+ "2097 1001 QV 0.5 \n",
+ "2098 1001 QV 0.5 \n",
+ "2099 1001 QV 0.5 \n",
+ "\n",
+ " utility-pmp-correlation limit-votes? [step] mean payoff-sign-list \\\n",
+ "0 -1.0 False 1000 0.0 \n",
+ "1 -1.0 False 1000 0.0 \n",
+ "2 -1.0 False 1000 0.0 \n",
+ "3 -1.0 False 1000 0.0 \n",
+ "4 -1.0 False 1000 0.0 \n",
+ "... ... ... ... ... \n",
+ "2095 1.0 False 1000 1.0 \n",
+ "2096 1.0 False 1000 1.0 \n",
+ "2097 1.0 False 1000 1.0 \n",
+ "2098 1.0 False 1000 1.0 \n",
+ "2099 1.0 False 1000 1.0 \n",
+ "\n",
+ " average payoff wellfare-loss wellfare-loss range \n",
+ "0 0.0 1.0 1.0 \n",
+ "1 0.0 1.0 1.0 \n",
+ "2 0.0 1.0 1.0 \n",
+ "3 0.0 1.0 1.0 \n",
+ "4 0.0 1.0 1.0 \n",
+ "... ... ... ... \n",
+ "2095 1.0 0.0 0.0 \n",
+ "2096 1.0 0.0 0.0 \n",
+ "2097 1.0 0.0 0.0 \n",
+ "2098 1.0 0.0 0.0 \n",
+ "2099 1.0 0.0 0.0 \n",
+ "\n",
+ "[2100 rows x 20 columns]"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "text/plain": [
+ "Text(0.5, 1.0, 'passionate minority, varying utility-pmp correlation')"
+ ]
+ },
+ "execution_count": 4,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "df3 = pd.read_csv('QV passionate-minority-pmp-correlation-table 2.csv')\n",
+ "df3['wellfare-loss'] = 1 - df3['average payoff']\n",
+ "df3['wellfare-loss range'] = 1 - df3['mean payoff-sign-list']\n",
+ "\n",
+ "display(df3)\n",
+ "\n",
+ "\n",
+ "ax = sns.scatterplot(x=\"utility-pmp-correlation\", \n",
+ " y=\"wellfare-loss range\",\n",
+ " color = \"orange\",\n",
+ " data = df3)\n",
+ "\n",
+ "ax2 = sns.scatterplot(x=\"utility-pmp-correlation\", \n",
+ " y=\"wellfare-loss\",\n",
+ " color = \"blue\",\n",
+ " data = df3)\n",
+ "plt.title(\"passionate minority, varying utility-pmp correlation\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " [run number] \n",
+ " payoff-include-votes-cost? \n",
+ " majority-mean-utility \n",
+ " majority-utility-stdev \n",
+ " minority-mean-utility \n",
+ " minority-utility-stdev \n",
+ " minority-fraction \n",
+ " behavior-under-qv \n",
+ " calibration \n",
+ " variance-of-pmp \n",
+ " number-of-voters \n",
+ " voting-mechanism \n",
+ " marginal-pivotality \n",
+ " utility-pmp-correlation \n",
+ " limit-votes? \n",
+ " [step] \n",
+ " mean payoff-sign-list \n",
+ " average payoff \n",
+ " wellfare-loss \n",
+ " wellfare-loss range \n",
+ " \n",
+ " \n",
+ " \n",
+ " \n",
+ " 0 \n",
+ " 4 \n",
+ " False \n",
+ " -4 \n",
+ " 1 \n",
+ " 6.1 \n",
+ " 1 \n",
+ " 0.4 \n",
+ " rational \n",
+ " manual \n",
+ " 0.01 \n",
+ " 1001 \n",
+ " QV \n",
+ " 0.5 \n",
+ " -1.0 \n",
+ " False \n",
+ " 1000 \n",
+ " 0.129 \n",
+ " 0.1328 \n",
+ " 0.8672 \n",
+ " 0.871 \n",
+ " \n",
+ " \n",
+ " 1 \n",
+ " 5 \n",
+ " False \n",
+ " -4 \n",
+ " 1 \n",
+ " 6.1 \n",
+ " 1 \n",
+ " 0.4 \n",
+ " rational \n",
+ " manual \n",
+ " 0.01 \n",
+ " 1001 \n",
+ " QV \n",
+ " 0.5 \n",
+ " -1.0 \n",
+ " False \n",
+ " 1000 \n",
+ " 0.130 \n",
+ " 0.1328 \n",
+ " 0.8672 \n",
+ " 0.870 \n",
+ " \n",
+ " \n",
+ " 2 \n",
+ " 8 \n",
+ " False \n",
+ " -4 \n",
+ " 1 \n",
+ " 6.1 \n",
+ " 1 \n",
+ " 0.4 \n",
+ " rational \n",
+ " manual \n",
+ " 0.01 \n",
+ " 1001 \n",
+ " QV \n",
+ " 0.5 \n",
+ " -1.0 \n",
+ " False \n",
+ " 1000 \n",
+ " 0.136 \n",
+ " 0.1328 \n",
+ " 0.8672 \n",
+ " 0.864 \n",
+ " \n",
+ " \n",
+ " 3 \n",
+ " 3 \n",
+ " False \n",
+ " -4 \n",
+ " 1 \n",
+ " 6.1 \n",
+ " 1 \n",
+ " 0.4 \n",
+ " rational \n",
+ " manual \n",
+ " 0.01 \n",
+ " 1001 \n",
+ " QV \n",
+ " 0.5 \n",
+ " -1.0 \n",
+ " False \n",
+ " 1000 \n",
+ " 0.135 \n",
+ " 0.1328 \n",
+ " 0.8672 \n",
+ " 0.865 \n",
+ " \n",
+ " \n",
+ " 4 \n",
+ " 7 \n",
+ " False \n",
+ " -4 \n",
+ " 1 \n",
+ " 6.1 \n",
+ " 1 \n",
+ " 0.4 \n",
+ " rational \n",
+ " manual \n",
+ " 0.01 \n",
+ " 1001 \n",
+ " QV \n",
+ " 0.5 \n",
+ " -1.0 \n",
+ " False \n",
+ " 1000 \n",
+ " 0.142 \n",
+ " 0.1328 \n",
+ " 0.8672 \n",
+ " 0.858 \n",
+ " \n",
+ " \n",
+ " ... \n",
+ " ... \n",
+ " ... \n",
+ " ... \n",
+ " ... \n",
+ " ... \n",
+ " ... \n",
+ " ... \n",
+ " ... \n",
+ " ... \n",
+ " ... \n",
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+ " ... \n",
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+ " 405 \n",
+ " 407 \n",
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+ " rational \n",
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+ " 0.01 \n",
+ " 1001 \n",
+ " QV \n",
+ " 0.5 \n",
+ " 1.0 \n",
+ " False \n",
+ " 1000 \n",
+ " 0.880 \n",
+ " 0.8660 \n",
+ " 0.1340 \n",
+ " 0.120 \n",
+ " \n",
+ " \n",
+ " 406 \n",
+ " 406 \n",
+ " False \n",
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+ " 1 \n",
+ " 6.1 \n",
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+ " 0.4 \n",
+ " rational \n",
+ " manual \n",
+ " 0.01 \n",
+ " 1001 \n",
+ " QV \n",
+ " 0.5 \n",
+ " 1.0 \n",
+ " False \n",
+ " 1000 \n",
+ " 0.870 \n",
+ " 0.8660 \n",
+ " 0.1340 \n",
+ " 0.130 \n",
+ " \n",
+ " \n",
+ " 407 \n",
+ " 408 \n",
+ " False \n",
+ " -4 \n",
+ " 1 \n",
+ " 6.1 \n",
+ " 1 \n",
+ " 0.4 \n",
+ " rational \n",
+ " manual \n",
+ " 0.01 \n",
+ " 1001 \n",
+ " QV \n",
+ " 0.5 \n",
+ " 1.0 \n",
+ " False \n",
+ " 1000 \n",
+ " 0.867 \n",
+ " 0.8660 \n",
+ " 0.1340 \n",
+ " 0.133 \n",
+ " \n",
+ " \n",
+ " 408 \n",
+ " 410 \n",
+ " False \n",
+ " -4 \n",
+ " 1 \n",
+ " 6.1 \n",
+ " 1 \n",
+ " 0.4 \n",
+ " rational \n",
+ " manual \n",
+ " 0.01 \n",
+ " 1001 \n",
+ " QV \n",
+ " 0.5 \n",
+ " 1.0 \n",
+ " False \n",
+ " 1000 \n",
+ " 0.861 \n",
+ " 0.8660 \n",
+ " 0.1340 \n",
+ " 0.139 \n",
+ " \n",
+ " \n",
+ " 409 \n",
+ " 409 \n",
+ " False \n",
+ " -4 \n",
+ " 1 \n",
+ " 6.1 \n",
+ " 1 \n",
+ " 0.4 \n",
+ " rational \n",
+ " manual \n",
+ " 0.01 \n",
+ " 1001 \n",
+ " QV \n",
+ " 0.5 \n",
+ " 1.0 \n",
+ " False \n",
+ " 1000 \n",
+ " 0.862 \n",
+ " 0.8660 \n",
+ " 0.1340 \n",
+ " 0.138 \n",
+ " \n",
+ " \n",
+ "
\n",
+ "
410 rows × 20 columns
\n",
+ "
"
+ ],
+ "text/plain": [
+ " [run number] payoff-include-votes-cost? majority-mean-utility \\\n",
+ "0 4 False -4 \n",
+ "1 5 False -4 \n",
+ "2 8 False -4 \n",
+ "3 3 False -4 \n",
+ "4 7 False -4 \n",
+ ".. ... ... ... \n",
+ "405 407 False -4 \n",
+ "406 406 False -4 \n",
+ "407 408 False -4 \n",
+ "408 410 False -4 \n",
+ "409 409 False -4 \n",
+ "\n",
+ " majority-utility-stdev minority-mean-utility minority-utility-stdev \\\n",
+ "0 1 6.1 1 \n",
+ "1 1 6.1 1 \n",
+ "2 1 6.1 1 \n",
+ "3 1 6.1 1 \n",
+ "4 1 6.1 1 \n",
+ ".. ... ... ... \n",
+ "405 1 6.1 1 \n",
+ "406 1 6.1 1 \n",
+ "407 1 6.1 1 \n",
+ "408 1 6.1 1 \n",
+ "409 1 6.1 1 \n",
+ "\n",
+ " minority-fraction behavior-under-qv calibration variance-of-pmp \\\n",
+ "0 0.4 rational manual 0.01 \n",
+ "1 0.4 rational manual 0.01 \n",
+ "2 0.4 rational manual 0.01 \n",
+ "3 0.4 rational manual 0.01 \n",
+ "4 0.4 rational manual 0.01 \n",
+ ".. ... ... ... ... \n",
+ "405 0.4 rational manual 0.01 \n",
+ "406 0.4 rational manual 0.01 \n",
+ "407 0.4 rational manual 0.01 \n",
+ "408 0.4 rational manual 0.01 \n",
+ "409 0.4 rational manual 0.01 \n",
+ "\n",
+ " number-of-voters voting-mechanism marginal-pivotality \\\n",
+ "0 1001 QV 0.5 \n",
+ "1 1001 QV 0.5 \n",
+ "2 1001 QV 0.5 \n",
+ "3 1001 QV 0.5 \n",
+ "4 1001 QV 0.5 \n",
+ ".. ... ... ... \n",
+ "405 1001 QV 0.5 \n",
+ "406 1001 QV 0.5 \n",
+ "407 1001 QV 0.5 \n",
+ "408 1001 QV 0.5 \n",
+ "409 1001 QV 0.5 \n",
+ "\n",
+ " utility-pmp-correlation limit-votes? [step] mean payoff-sign-list \\\n",
+ "0 -1.0 False 1000 0.129 \n",
+ "1 -1.0 False 1000 0.130 \n",
+ "2 -1.0 False 1000 0.136 \n",
+ "3 -1.0 False 1000 0.135 \n",
+ "4 -1.0 False 1000 0.142 \n",
+ ".. ... ... ... ... \n",
+ "405 1.0 False 1000 0.880 \n",
+ "406 1.0 False 1000 0.870 \n",
+ "407 1.0 False 1000 0.867 \n",
+ "408 1.0 False 1000 0.861 \n",
+ "409 1.0 False 1000 0.862 \n",
+ "\n",
+ " average payoff wellfare-loss wellfare-loss range \n",
+ "0 0.1328 0.8672 0.871 \n",
+ "1 0.1328 0.8672 0.870 \n",
+ "2 0.1328 0.8672 0.864 \n",
+ "3 0.1328 0.8672 0.865 \n",
+ "4 0.1328 0.8672 0.858 \n",
+ ".. ... ... ... \n",
+ "405 0.8660 0.1340 0.120 \n",
+ "406 0.8660 0.1340 0.130 \n",
+ "407 0.8660 0.1340 0.133 \n",
+ "408 0.8660 0.1340 0.139 \n",
+ "409 0.8660 0.1340 0.138 \n",
+ "\n",
+ "[410 rows x 20 columns]"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "text/plain": [
+ "Text(0.5, 1.0, 'passionate minority, varying utility-pmp correlation')"
+ ]
+ },
+ "execution_count": 4,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "df = pd.read_csv('QV passionate-minority-pmp-correlation-table (0.04 mean).csv')\n",
+ "df['wellfare-loss'] = 1 - df['average payoff']\n",
+ "df['wellfare-loss range'] = 1 - df['mean payoff-sign-list']\n",
+ "\n",
+ "display(df)\n",
+ "\n",
+ "ax = sns.scatterplot(x=\"utility-pmp-correlation\", \n",
+ " y=\"wellfare-loss range\",\n",
+ " color = \"orange\",\n",
+ " data = df)\n",
+ "\n",
+ "ax2 = sns.scatterplot(x=\"utility-pmp-correlation\", \n",
+ " y=\"wellfare-loss\",\n",
+ " color = \"blue\",\n",
+ " data = df)\n",
+ "plt.title(\"passionate minority, 0.04 mean, varying utility-pmp correlation\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
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+ " 0.02342 \n",
+ " 0.12842 \n",
+ " 0.131 \n",
+ " \n",
+ " \n",
+ " 2099 \n",
+ " 2100 \n",
+ " False \n",
+ " -4 \n",
+ " 1 \n",
+ " 6.1 \n",
+ " 1 \n",
+ " 0.4 \n",
+ " rational \n",
+ " manual \n",
+ " 0.01 \n",
+ " ... \n",
+ " 0.5 \n",
+ " 1.0 \n",
+ " False \n",
+ " 1000 \n",
+ " 0.863 \n",
+ " 0.87158 \n",
+ " 0.02558 \n",
+ " 0.02342 \n",
+ " 0.12842 \n",
+ " 0.137 \n",
+ " \n",
+ " \n",
+ "
\n",
+ "
2100 rows × 22 columns
\n",
+ "
"
+ ],
+ "text/plain": [
+ " [run number] payoff-include-votes-cost? majority-mean-utility \\\n",
+ "0 2 False -4 \n",
+ "1 6 False -4 \n",
+ "2 3 False -4 \n",
+ "3 4 False -4 \n",
+ "4 5 False -4 \n",
+ "... ... ... ... \n",
+ "2095 2096 False -4 \n",
+ "2096 2097 False -4 \n",
+ "2097 2098 False -4 \n",
+ "2098 2099 False -4 \n",
+ "2099 2100 False -4 \n",
+ "\n",
+ " majority-utility-stdev minority-mean-utility minority-utility-stdev \\\n",
+ "0 1 6.1 1 \n",
+ "1 1 6.1 1 \n",
+ "2 1 6.1 1 \n",
+ "3 1 6.1 1 \n",
+ "4 1 6.1 1 \n",
+ "... ... ... ... \n",
+ "2095 1 6.1 1 \n",
+ "2096 1 6.1 1 \n",
+ "2097 1 6.1 1 \n",
+ "2098 1 6.1 1 \n",
+ "2099 1 6.1 1 \n",
+ "\n",
+ " minority-fraction behavior-under-qv calibration variance-of-pmp ... \\\n",
+ "0 0.4 rational manual 0.01 ... \n",
+ "1 0.4 rational manual 0.01 ... \n",
+ "2 0.4 rational manual 0.01 ... \n",
+ "3 0.4 rational manual 0.01 ... \n",
+ "4 0.4 rational manual 0.01 ... \n",
+ "... ... ... ... ... ... \n",
+ "2095 0.4 rational manual 0.01 ... \n",
+ "2096 0.4 rational manual 0.01 ... \n",
+ "2097 0.4 rational manual 0.01 ... \n",
+ "2098 0.4 rational manual 0.01 ... \n",
+ "2099 0.4 rational manual 0.01 ... \n",
+ "\n",
+ " marginal-pivotality utility-pmp-correlation limit-votes? [step] \\\n",
+ "0 0.5 -1.0 False 1000 \n",
+ "1 0.5 -1.0 False 1000 \n",
+ "2 0.5 -1.0 False 1000 \n",
+ "3 0.5 -1.0 False 1000 \n",
+ "4 0.5 -1.0 False 1000 \n",
+ "... ... ... ... ... \n",
+ "2095 0.5 1.0 False 1000 \n",
+ "2096 0.5 1.0 False 1000 \n",
+ "2097 0.5 1.0 False 1000 \n",
+ "2098 0.5 1.0 False 1000 \n",
+ "2099 0.5 1.0 False 1000 \n",
+ "\n",
+ " mean payoff-sign-list average payoff min max wellfare-loss \\\n",
+ "0 0.141 0.13019 0.01919 0.02781 0.86981 \n",
+ "1 0.144 0.13019 0.01919 0.02781 0.86981 \n",
+ "2 0.133 0.13019 0.01919 0.02781 0.86981 \n",
+ "3 0.144 0.13019 0.01919 0.02781 0.86981 \n",
+ "4 0.145 0.13019 0.01919 0.02781 0.86981 \n",
+ "... ... ... ... ... ... \n",
+ "2095 0.870 0.87158 0.02558 0.02342 0.12842 \n",
+ "2096 0.872 0.87158 0.02558 0.02342 0.12842 \n",
+ "2097 0.865 0.87158 0.02558 0.02342 0.12842 \n",
+ "2098 0.869 0.87158 0.02558 0.02342 0.12842 \n",
+ "2099 0.863 0.87158 0.02558 0.02342 0.12842 \n",
+ "\n",
+ " wellfare-loss range \n",
+ "0 0.859 \n",
+ "1 0.856 \n",
+ "2 0.867 \n",
+ "3 0.856 \n",
+ "4 0.855 \n",
+ "... ... \n",
+ "2095 0.130 \n",
+ "2096 0.128 \n",
+ "2097 0.135 \n",
+ "2098 0.131 \n",
+ "2099 0.137 \n",
+ "\n",
+ "[2100 rows x 22 columns]"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "df = pd.read_csv('QV passionate-minority-pmp-correlation-table (0.04 mean) 2.csv')\n",
+ "df['wellfare-loss'] = 1 - df['average payoff']\n",
+ "df['wellfare-loss range'] = 1 - df['mean payoff-sign-list']\n",
+ "\n",
+ "display(df)\n",
+ "\n",
+ "yerrormin = df['min']\n",
+ "yerrormax = df['max']\n",
+ "yerror = [yerrormin, yerrormax]\n",
+ "\n",
+ "\n",
+ "ax = sns.scatterplot(x=\"utility-pmp-correlation\", \n",
+ " y=\"wellfare-loss\",\n",
+ " data = df)\n",
+ "\n",
+ "\n",
+ "plt.errorbar(df['utility-pmp-correlation'], df['wellfare-loss'], yerr=yerror, ecolor = 'orange', fmt='o')\n",
+ "\n",
+ "plt.title(\"passionate minority, 0.04 mean, varying utility-pmp correlation\")\n",
+ "\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Text(0.5, 1.0, 'passionate minority')"
+ ]
+ },
+ "execution_count": 19,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#Tipping point\n",
+ "#It definitely looks to be linear from close, but I will test again at higher means\n",
+ "df = pd.read_csv('QV passionate-minority-pmp-correlation-table (tipping).csv')\n",
+ "ax = sns.scatterplot(x=\"mean-utility\", \n",
+ " y=\"tipping-point\",\n",
+ " data = df)\n",
+ "plt.title(\"passionate minority\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "[(0.04, 0.45)]"
+ ]
+ },
+ "execution_count": 17,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#Tipping point 2, \n",
+ "#Definitely not linear, while testing on mean greater than 0.4, the tipping point gets VERY defined (less of an s shape and more of a cliff)\n",
+ "\n",
+ "df = pd.read_csv('QV passionate-minority-pmp-correlation-table (tipping) 2.csv')\n",
+ "ax = sns.scatterplot(x=\"mean-utility\", \n",
+ " y=\"tipping-point\",\n",
+ " data = df)\n",
+ "ax.set(xlim = (0.04, 0.45))\n",
+ "\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Text(0.5, 1.0, 'above graph plus additional extreme point to prove non-linear')"
+ ]
+ },
+ "execution_count": 3,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "df = pd.read_csv('QV passionate-minority-pmp-correlation-table (tipping) 2.csv')\n",
+ "\n",
+ "ax2 = sns.scatterplot(x=\"mean-utility\", \n",
+ " y=\"tipping-point\",\n",
+ " data = df)\n",
+ "ax2.set(xlim = 0.04)\n",
+ "\n",
+ "plt.title(\"above graph plus additional extreme point to prove non-linear\")"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.8.3"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/data-analysis/analysis-future-work/QV utility correlated with PMP vs. without correlation.ipynb b/data-analysis/analysis-future-work/QV utility correlated with PMP vs. without correlation.ipynb
new file mode 100644
index 0000000..1b1bca9
--- /dev/null
+++ b/data-analysis/analysis-future-work/QV utility correlated with PMP vs. without correlation.ipynb
@@ -0,0 +1,788 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import pandas as pd\n",
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "import seaborn as sns\n",
+ "\n",
+ "\n",
+ "import matplotlib \n",
+ "font = {'size' : 12}\n",
+ "matplotlib.rc('font', **font)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def to_array(string):\n",
+ " return np.array([float(el) for el in string.replace(\"[\", \"\").replace(\"]\",\"\").split(\" \")])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 74,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "df = pd.read_csv('QV r-and-pmp-table.csv', error_bad_lines=False)\n",
+ "df['wellfare-loss'] = 1 - df['mean payoff-sign-list']\n",
+ "\n",
+ "df2 = pd.read_csv('1p1v r-and-pmp-table.csv', error_bad_lines=False)\n",
+ "df2['wellfare-loss'] = 1 - df2['mean payoff-sign-list']\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 75,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "