{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "ddadfc86",
"metadata": {},
"outputs": [],
"source": [
"using Plots"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "d29d2b4e",
"metadata": {},
"outputs": [],
"source": [
"using DataFrames, GLM"
]
},
{
"cell_type": "markdown",
"id": "5f7080f5",
"metadata": {},
"source": [
"### 1. An Example of Linear Regression"
]
},
{
"cell_type": "markdown",
"id": "f751ce02",
"metadata": {},
"source": [
"To get started, we take the first example from the GLM documentation. GLM is the abbreviation for Generalized Linear Model."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "8c5d2ac8",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
],
"text/latex": [
"\\begin{tabular}{r|cc}\n",
"\t& X & Y\\\\\n",
"\t\\hline\n",
"\t& Int64 & Int64\\\\\n",
"\t\\hline\n",
"\t1 & 1 & 2 \\\\\n",
"\t2 & 2 & 4 \\\\\n",
"\t3 & 3 & 7 \\\\\n",
"\\end{tabular}\n"
],
"text/plain": [
"\u001b[1m3×2 DataFrame\u001b[0m\n",
"\u001b[1m Row \u001b[0m│\u001b[1m X \u001b[0m\u001b[1m Y \u001b[0m\n",
"\u001b[1m \u001b[0m│\u001b[90m Int64 \u001b[0m\u001b[90m Int64 \u001b[0m\n",
"─────┼──────────────\n",
" 1 │ 1 2\n",
" 2 │ 2 4\n",
" 3 │ 3 7"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data = DataFrame(X=[1,2,3], Y=[2,4,7])"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "be1df43e",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"StatsModels.TableRegressionModel{LinearModel{GLM.LmResp{Vector{Float64}}, GLM.DensePredChol{Float64, LinearAlgebra.CholeskyPivoted{Float64, Matrix{Float64}, Vector{Int64}}}}, Matrix{Float64}}\n",
"\n",
"Y ~ 1 + X\n",
"\n",
"Coefficients:\n",
"─────────────────────────────────────────────────────────────────────────\n",
" Coef. Std. Error t Pr(>|t|) Lower 95% Upper 95%\n",
"─────────────────────────────────────────────────────────────────────────\n",
"(Intercept) -0.666667 0.62361 -1.07 0.4788 -8.59038 7.25704\n",
"X 2.5 0.288675 8.66 0.0732 -1.16797 6.16797\n",
"─────────────────────────────────────────────────────────────────────────"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ols = lm(@formula(Y ~ X), data)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "dd0fb90f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2-element Vector{Float64}:\n",
" 0.6236095644623237\n",
" 0.2886751345948129"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"stderror(ols)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "373af26d",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"3-element Vector{Float64}:\n",
" 1.8333333333333304\n",
" 4.333333333333333\n",
" 6.833333333333336"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"predict(ols)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "4b5801d5",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"line (generic function with 1 method)"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"line(x) = -2/3 + 2.5*x"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "e609546d",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"3-element Vector{Float64}:\n",
" 1.8333333333333335\n",
" 4.333333333333333\n",
" 6.833333333333333"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"[line(t) for t in [1,2,3]]"
]
},
{
"cell_type": "markdown",
"id": "7693ea77",
"metadata": {},
"source": [
"### 2. Fitting Average Temperatures"
]
},
{
"cell_type": "markdown",
"id": "1d16c281",
"metadata": {},
"source": [
"In Lecture 5, we looked at the average temperatures in Chicago over the last 100 years."
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "ac7ec43f",
"metadata": {},
"outputs": [],
"source": [
"using DelimitedFiles"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "74e9804c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"101×14 Matrix{Any}:\n",
" \"Year\" \"Jan\" \"Feb\" \"Mar\" … \"Nov\" \"Dec\" \"Annual\"\n",
" 1922 24.8 29.4 39.3 44.6 29.9 52.1\n",
" 1923 30.7 22.3 33.0 43.8 39.7 50.3\n",
" 1924 19.7 28.8 34.6 41.5 23.3 48.1\n",
" 1925 25.9 32.2 39.7 38.9 25.3 50.3\n",
" 1926 27.3 30.9 30.2 … 37.1 26.5 48.0\n",
" 1927 24.8 34.9 42.0 43.2 26.9 50.6\n",
" 1928 25.2 30.3 36.9 42.2 32.1 49.6\n",
" 1929 17.6 21.6 43.3 36.3 28.6 48.5\n",
" 1930 20.1 37.1 36.1 42.4 29.7 51.0\n",
" 1931 32.0 35.6 34.9 … 50.0 38.4 53.9\n",
" 1932 33.6 34.9 30.1 37.2 28.7 50.5\n",
" 1933 36.7 26.2 35.5 38.0 31.3 51.7\n",
" ⋮ ⋱ \n",
" 2010 21.9 26.7 41.7 41.5 22.5 51.4\n",
" 2011 20.6 26.2 36.3 … 44.9 35.2 50.7\n",
" 2012 30.2 32.9 53.5 40.5 36.1 54.5\n",
" 2013 26.6 26.1 32.6 37.5 23.3 49.1\n",
" 2014 15.7 17.3 31.7 33.6 32.0 47.5\n",
" 2015 22.3 14.6 35.4 44.6 39.0 50.1\n",
" 2016 24.7 30.4 43.3 … 46.8 25.0 52.3\n",
" 2017 28.8 38.0 39.5 39.7 27.2 52.5\n",
" 2018 24.6 28.8 36.9 34.6 33.2 50.9\n",
" 2019 21.0 25.9 34.3 34.8 34.0 49.6\n",
" 2020 30.1 30.2 42.8 47.4 32.8 53.3\n",
" 2021 29.2 20.2 44.2 … 40.3 38.0 53.3"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"A = readdlm(\"tempChicago100years.txt\")"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "d9108413",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"100-element Vector{Any}:\n",
" 29.9\n",
" 39.7\n",
" 23.3\n",
" 25.3\n",
" 26.5\n",
" 26.9\n",
" 32.1\n",
" 28.6\n",
" 29.7\n",
" 38.4\n",
" 28.7\n",
" 31.3\n",
" 26.2\n",
" ⋮\n",
" 22.5\n",
" 35.2\n",
" 36.1\n",
" 23.3\n",
" 32.0\n",
" 39.0\n",
" 25.0\n",
" 27.2\n",
" 33.2\n",
" 34.0\n",
" 32.8\n",
" 38.0"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dectemp = A[2:end,13]"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "91c90113",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"image/svg+xml": [
"\n",
"\n"
],
"text/html": [
"
"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(1:100, dectemp, label=\"Dec\", legend=:bottomleft)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "068f9aad",
"metadata": {},
"outputs": [],
"source": [
"# savefig(\"decemberTemperatures.png\")"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "6c76a8de",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"100-element Vector{Any}:\n",
" 1922\n",
" 1923\n",
" 1924\n",
" 1925\n",
" 1926\n",
" 1927\n",
" 1928\n",
" 1929\n",
" 1930\n",
" 1931\n",
" 1932\n",
" 1933\n",
" 1934\n",
" ⋮\n",
" 2010\n",
" 2011\n",
" 2012\n",
" 2013\n",
" 2014\n",
" 2015\n",
" 2016\n",
" 2017\n",
" 2018\n",
" 2019\n",
" 2020\n",
" 2021"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"years = A[2:end,1]"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "6e02253c",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"100×2 DataFrame
75 rows omitted
| Row | X | Y |
|---|
| Float64 | Float64 |
|---|
| 1 | 1922.0 | 29.9 |
| 2 | 1923.0 | 39.7 |
| 3 | 1924.0 | 23.3 |
| 4 | 1925.0 | 25.3 |
| 5 | 1926.0 | 26.5 |
| 6 | 1927.0 | 26.9 |
| 7 | 1928.0 | 32.1 |
| 8 | 1929.0 | 28.6 |
| 9 | 1930.0 | 29.7 |
| 10 | 1931.0 | 38.4 |
| 11 | 1932.0 | 28.7 |
| 12 | 1933.0 | 31.3 |
| 13 | 1934.0 | 26.2 |
| ⋮ | ⋮ | ⋮ |
| 89 | 2010.0 | 22.5 |
| 90 | 2011.0 | 35.2 |
| 91 | 2012.0 | 36.1 |
| 92 | 2013.0 | 23.3 |
| 93 | 2014.0 | 32.0 |
| 94 | 2015.0 | 39.0 |
| 95 | 2016.0 | 25.0 |
| 96 | 2017.0 | 27.2 |
| 97 | 2018.0 | 33.2 |
| 98 | 2019.0 | 34.0 |
| 99 | 2020.0 | 32.8 |
| 100 | 2021.0 | 38.0 |
"
],
"text/latex": [
"\\begin{tabular}{r|cc}\n",
"\t& X & Y\\\\\n",
"\t\\hline\n",
"\t& Float64 & Float64\\\\\n",
"\t\\hline\n",
"\t1 & 1922.0 & 29.9 \\\\\n",
"\t2 & 1923.0 & 39.7 \\\\\n",
"\t3 & 1924.0 & 23.3 \\\\\n",
"\t4 & 1925.0 & 25.3 \\\\\n",
"\t5 & 1926.0 & 26.5 \\\\\n",
"\t6 & 1927.0 & 26.9 \\\\\n",
"\t7 & 1928.0 & 32.1 \\\\\n",
"\t8 & 1929.0 & 28.6 \\\\\n",
"\t9 & 1930.0 & 29.7 \\\\\n",
"\t10 & 1931.0 & 38.4 \\\\\n",
"\t11 & 1932.0 & 28.7 \\\\\n",
"\t12 & 1933.0 & 31.3 \\\\\n",
"\t13 & 1934.0 & 26.2 \\\\\n",
"\t14 & 1935.0 & 25.2 \\\\\n",
"\t15 & 1936.0 & 34.0 \\\\\n",
"\t16 & 1937.0 & 26.7 \\\\\n",
"\t17 & 1938.0 & 29.1 \\\\\n",
"\t18 & 1939.0 & 35.1 \\\\\n",
"\t19 & 1940.0 & 33.5 \\\\\n",
"\t20 & 1941.0 & 36.3 \\\\\n",
"\t21 & 1942.0 & 23.0 \\\\\n",
"\t22 & 1943.0 & 27.6 \\\\\n",
"\t23 & 1944.0 & 21.8 \\\\\n",
"\t24 & 1945.0 & 22.2 \\\\\n",
"\t25 & 1946.0 & 31.9 \\\\\n",
"\t26 & 1947.0 & 30.0 \\\\\n",
"\t27 & 1948.0 & 30.4 \\\\\n",
"\t28 & 1949.0 & 31.7 \\\\\n",
"\t29 & 1950.0 & 19.6 \\\\\n",
"\t30 & 1951.0 & 26.2 \\\\\n",
"\t$\\dots$ & $\\dots$ & $\\dots$ \\\\\n",
"\\end{tabular}\n"
],
"text/plain": [
"\u001b[1m100×2 DataFrame\u001b[0m\n",
"\u001b[1m Row \u001b[0m│\u001b[1m X \u001b[0m\u001b[1m Y \u001b[0m\n",
"\u001b[1m \u001b[0m│\u001b[90m Float64 \u001b[0m\u001b[90m Float64 \u001b[0m\n",
"─────┼──────────────────\n",
" 1 │ 1922.0 29.9\n",
" 2 │ 1923.0 39.7\n",
" 3 │ 1924.0 23.3\n",
" 4 │ 1925.0 25.3\n",
" 5 │ 1926.0 26.5\n",
" 6 │ 1927.0 26.9\n",
" 7 │ 1928.0 32.1\n",
" 8 │ 1929.0 28.6\n",
" 9 │ 1930.0 29.7\n",
" 10 │ 1931.0 38.4\n",
" 11 │ 1932.0 28.7\n",
" ⋮ │ ⋮ ⋮\n",
" 91 │ 2012.0 36.1\n",
" 92 │ 2013.0 23.3\n",
" 93 │ 2014.0 32.0\n",
" 94 │ 2015.0 39.0\n",
" 95 │ 2016.0 25.0\n",
" 96 │ 2017.0 27.2\n",
" 97 │ 2018.0 33.2\n",
" 98 │ 2019.0 34.0\n",
" 99 │ 2020.0 32.8\n",
" 100 │ 2021.0 38.0\n",
"\u001b[36m 79 rows omitted\u001b[0m"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tempdf = DataFrame(X=Vector{Float64}(years),Y=Vector{Float64}(dectemp))"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "95785fc2",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"StatsModels.TableRegressionModel{LinearModel{GLM.LmResp{Vector{Float64}}, GLM.DensePredChol{Float64, LinearAlgebra.CholeskyPivoted{Float64, Matrix{Float64}, Vector{Int64}}}}, Matrix{Float64}}\n",
"\n",
"Y ~ 1 + X\n",
"\n",
"Coefficients:\n",
"─────────────────────────────────────────────────────────────────────────────\n",
" Coef. Std. Error t Pr(>|t|) Lower 95% Upper 95%\n",
"─────────────────────────────────────────────────────────────────────────────\n",
"(Intercept) 20.4113 35.8233 0.57 0.5701 -50.6789 91.5016\n",
"X 0.00433003 0.0181687 0.24 0.8121 -0.0317251 0.0403851\n",
"─────────────────────────────────────────────────────────────────────────────"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"olstemp = lm(@formula(Y ~ X), tempdf)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "3a2a26df",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2-element Vector{Float64}:\n",
" 20.41133993398407\n",
" 0.0043300330033050624"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cff = coef(olstemp)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "09d74e39",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"100-element Vector{Float64}:\n",
" 28.7336633663364\n",
" 28.737993399339707\n",
" 28.74232343234301\n",
" 28.746653465346316\n",
" 28.75098349834962\n",
" 28.755313531352925\n",
" 28.75964356435623\n",
" 28.763973597359538\n",
" 28.76830363036284\n",
" 28.772633663366147\n",
" 28.77696369636945\n",
" 28.781293729372756\n",
" 28.785623762376062\n",
" ⋮\n",
" 29.114706270627245\n",
" 29.11903630363055\n",
" 29.123366336633858\n",
" 29.12769636963716\n",
" 29.132026402640467\n",
" 29.13635643564377\n",
" 29.140686468647075\n",
" 29.14501650165038\n",
" 29.149346534653688\n",
" 29.15367656765699\n",
" 29.158006600660297\n",
" 29.1623366336636"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"predicted = [cff[1] + cff[2]*t for t in 1922:2021]"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "d612573a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"image/svg+xml": [
"\n",
"\n"
],
"text/html": [
"
"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot!(1:100, predicted, label=\"predictions\")"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "60ed1714",
"metadata": {},
"outputs": [],
"source": [
"# savefig(\"decemberTemperaturesFitted100.png\")"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "fbacb041",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"| Row | X | Y |
|---|
| Float64 | Float64 |
|---|
| 1 | 2002.0 | 30.1 |
| 2 | 2003.0 | 31.6 |
| 3 | 2004.0 | 28.9 |
| 4 | 2005.0 | 23.3 |
| 5 | 2006.0 | 33.8 |
| 6 | 2007.0 | 27.8 |
| 7 | 2008.0 | 22.9 |
| 8 | 2009.0 | 26.5 |
| 9 | 2010.0 | 22.5 |
| 10 | 2011.0 | 35.2 |
| 11 | 2012.0 | 36.1 |
| 12 | 2013.0 | 23.3 |
| 13 | 2014.0 | 32.0 |
| 14 | 2015.0 | 39.0 |
| 15 | 2016.0 | 25.0 |
| 16 | 2017.0 | 27.2 |
| 17 | 2018.0 | 33.2 |
| 18 | 2019.0 | 34.0 |
| 19 | 2020.0 | 32.8 |
| 20 | 2021.0 | 38.0 |
"
],
"text/latex": [
"\\begin{tabular}{r|cc}\n",
"\t& X & Y\\\\\n",
"\t\\hline\n",
"\t& Float64 & Float64\\\\\n",
"\t\\hline\n",
"\t1 & 2002.0 & 30.1 \\\\\n",
"\t2 & 2003.0 & 31.6 \\\\\n",
"\t3 & 2004.0 & 28.9 \\\\\n",
"\t4 & 2005.0 & 23.3 \\\\\n",
"\t5 & 2006.0 & 33.8 \\\\\n",
"\t6 & 2007.0 & 27.8 \\\\\n",
"\t7 & 2008.0 & 22.9 \\\\\n",
"\t8 & 2009.0 & 26.5 \\\\\n",
"\t9 & 2010.0 & 22.5 \\\\\n",
"\t10 & 2011.0 & 35.2 \\\\\n",
"\t11 & 2012.0 & 36.1 \\\\\n",
"\t12 & 2013.0 & 23.3 \\\\\n",
"\t13 & 2014.0 & 32.0 \\\\\n",
"\t14 & 2015.0 & 39.0 \\\\\n",
"\t15 & 2016.0 & 25.0 \\\\\n",
"\t16 & 2017.0 & 27.2 \\\\\n",
"\t17 & 2018.0 & 33.2 \\\\\n",
"\t18 & 2019.0 & 34.0 \\\\\n",
"\t19 & 2020.0 & 32.8 \\\\\n",
"\t20 & 2021.0 & 38.0 \\\\\n",
"\\end{tabular}\n"
],
"text/plain": [
"\u001b[1m20×2 DataFrame\u001b[0m\n",
"\u001b[1m Row \u001b[0m│\u001b[1m X \u001b[0m\u001b[1m Y \u001b[0m\n",
"\u001b[1m \u001b[0m│\u001b[90m Float64 \u001b[0m\u001b[90m Float64 \u001b[0m\n",
"─────┼──────────────────\n",
" 1 │ 2002.0 30.1\n",
" 2 │ 2003.0 31.6\n",
" 3 │ 2004.0 28.9\n",
" 4 │ 2005.0 23.3\n",
" 5 │ 2006.0 33.8\n",
" 6 │ 2007.0 27.8\n",
" 7 │ 2008.0 22.9\n",
" 8 │ 2009.0 26.5\n",
" 9 │ 2010.0 22.5\n",
" 10 │ 2011.0 35.2\n",
" 11 │ 2012.0 36.1\n",
" 12 │ 2013.0 23.3\n",
" 13 │ 2014.0 32.0\n",
" 14 │ 2015.0 39.0\n",
" 15 │ 2016.0 25.0\n",
" 16 │ 2017.0 27.2\n",
" 17 │ 2018.0 33.2\n",
" 18 │ 2019.0 34.0\n",
" 19 │ 2020.0 32.8\n",
" 20 │ 2021.0 38.0"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Xlast20=Vector{Float64}(years[end-19:end])\n",
"Ylast20=Vector{Float64}(dectemp[end-19:end])\n",
"tempdf20 = DataFrame(X=Xlast20,Y=Ylast20)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "ba058f2a",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"StatsModels.TableRegressionModel{LinearModel{GLM.LmResp{Vector{Float64}}, GLM.DensePredChol{Float64, LinearAlgebra.CholeskyPivoted{Float64, Matrix{Float64}, Vector{Int64}}}}, Matrix{Float64}}\n",
"\n",
"Y ~ 1 + X\n",
"\n",
"Coefficients:\n",
"────────────────────────────────────────────────────────────────────────────────\n",
" Coef. Std. Error t Pr(>|t|) Lower 95% Upper 95%\n",
"────────────────────────────────────────────────────────────────────────────────\n",
"(Intercept) -607.168 387.689 -1.57 0.1347 -1421.67 207.337\n",
"X 0.316842 0.192736 1.64 0.1175 -0.0880802 0.721764\n",
"────────────────────────────────────────────────────────────────────────────────"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"olstemp20 = lm(@formula(Y ~ X), tempdf20)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "d8306b00",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2-element Vector{Float64}:\n",
" -607.1678947230805\n",
" 0.31684210525631645"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cff20 = coef(olstemp20)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "4f58da8b",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"20-element Vector{Float64}:\n",
" 27.150000000065006\n",
" 27.466842105321348\n",
" 27.78368421057769\n",
" 28.10052631583403\n",
" 28.41736842109026\n",
" 28.7342105263466\n",
" 29.051052631602943\n",
" 29.367894736859284\n",
" 29.684736842115512\n",
" 30.001578947371854\n",
" 30.318421052628196\n",
" 30.635263157884538\n",
" 30.95210526314088\n",
" 31.268947368397107\n",
" 31.58578947365345\n",
" 31.90263157890979\n",
" 32.21947368416613\n",
" 32.53631578942236\n",
" 32.8531578946787\n",
" 33.169999999935044"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"predicted20 = [cff20[1] + cff20[2]*t for t in 2002:2021]"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "d4d3eead",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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S6evXCkooV8VEOZbURYEiJ+oLec23TFGOSiracoMsAKIoKorC87z3U7ufohSBUl11DWJcdCpf4mJuK8xkSVgWr67PqkIqasD3RVaKxdVSsdj0AhWPxwXBw9I1YQhPPfVUSumRI0c+/OEPv+Md77j11lsBXH/99cZvL7vsso0bN/72t7+1DZMSQgRBuPTSS2uPnHTSSclk0nS4VkMoUX0gJSSTBEAyqkMgxs8LQ6mClKAZxzmg07JGTce8AFAgr2oPTUU+kjRvh/aV9BOGhWSSJCI6hHhQZ0bTtIX/mCEhU72ih/WtlXVtRU8E0IR40j1q1AJTkrayN5GKyhofXchrvmUkquvAC+bKsRKLxRaJIVSg9SYj9d9kQtBJ1GOFEXV9KFVdnzkNsh7kMlJQEOG0gUwSzS9QVrNipWmh4dKlS6+66qqtW7eaHk8mk8cee+zIyIjL0bz1rW91+a2B6fGypqciHMcZmTCqUOLnUwVFWaMpofqOmRhEVVnIdzcoKKBU2zFOiXEWZpF1jIra+h6B4xDndQVc4+9bx/aL6FJkXRdVX3dCC5Q1PR0lPVEUVS5YYbekQdG1nhiXipCKtqDXfMtUNF3VwzrVbcdpgXpBIul6QmhYb+KCLuseK0xBpb2x6rWa4CDrGglqSQKmZTow++JhfBF+X+7o0TlJwF133bVp0yYAkiQVCgXjwZ07dz766KOnn356sMdXamv5RFFFZjbQm+TbI5aZkujKFEkIZHeuIS6xr0BXp4gxlITlCJ0oqyHW4RVVpAWkI8GXEmYlaugCYhx8TsBpO6LKxDIvECoa4o2ur58VJldXPkEAgQSpIg610Sj8e4RXXHHFo48+umbNmpGRkWKxePPNNwMYHx8/8cQTTz31VEEQHn300auuuuqMM84I9vga5hGG0K3AnVrtBIC4AFmDRsEvbJhqRkZfFKcNkvvG6HG9c++9N49jZstVYrzRmrkLAmgLjKxDo5A0xEKIaZUUJAX0RIJvN5qtYCBGACQE5MKpUwycigaBdIfNtjIl4d926p85rUU/Q1Txz49p17/kBRI4bc0Q5uU5sUztT4JKGWQrGAhNKQP/hvBHP/rRrl27RkZGhoeHN2/ebChi1q5du3///meeeQbA8ccfPzQ0FPjxtd0jrGlWCZAQUJ6dyrRgTEvoj+Hs5eTuEfr+4+cer0lGYfRAYptxOyoaYjxENRxDqCIlIBNBIWhblZ2dxB3naLf4+vW9L7qOXTn637tbN4TP5em/Pq0vdkNY11kGtZr6gFZLYypZMK9lh98rlxBy/PHHH3/88abHBwcH60spAqek1I9hIuWFFWgXZztuGxgVFAtuCGl/lJy9nFz7iAbMXZ71htBn64dFiKRhSRxljfaH4C4bl0cmhHajkxU6FK96hF1RPqFTSFpY08MXgIkyLc1jbdlfoKLa3VuBeioq4o0fxE+nmPpeowCiPJGDK26erIQbGu30K7es0eRcZ5mF7qhZ3/IbRnOZBS+VmpHRF8OGDBEI2ZOfe3ezR8gMoQVZh0CQjpCQSglFDSkBPdHgc4RGWxkACX+N/9tOWYPAdXFnmUlpXruZA0UAmKh0a2TYREWjsUaZS5xH2StXnZdpT53bEKxwIVuhoYZGO90QNoRGF7ygvqQ0+H9taTc6LaE/CgBnLyf3j9UbQmyczREuWrGMouPjf3L85EZcNKSxIRqFrCEuIBNGjnC2iUac746m22UVmUgXN92erKCsomVZ0v4CBTBRCfKQ2khFM3uEcZ64b7V1ilKdtBBBd1nLSgivvxo63BAa8ZZE+wxh0ewRtqG5zLRM+2MEwNZlc4ZQ1XGoSNdn2uYrdwh/nqDfesrxmpA0xHkkw4kuGnEwAoQRGs3OtlWM88RzJ94JlDWaFghFt44DmyhTAMVWv8cDRRBg8oViCKXmc4QFBSkB9W5ksF3WslKIoyfQ4YawrCHBz8WYI9yCi2WUhj1OW0YS1qJkZy8n980awgNFuixJagKQResR3jdGZd1x8a1oNM6TkKKLxdnsdTg5wupt77Pfcdspq0gIEEi3dlkznLmWEx/7i3RTL3lhhEY1Co2a1Z6eK0xemaudMAjWb5koV7PmIdHRhtCQp9eI8QseGlWrHbcN2uIRzkjoiwLApl6iURwoUjTGRdGmuRydwP1jOuB4ixpVEyE1iS2pNBUhADKR4NuNZiVaVY12SWhUVJHgIXDdGh01bFjLHuH+An3xMHlheIRWySh8GML6jtsGwYapajrqkOhoQyiqc0oZtCMAWFQams+2SSxD+2aD41tnncK9eXpMJqy8dLeg6vjjBE0Ijg5fpWoIQ5lkVBNS9USDzxFOS3N1hO0yhFMSvvi4X7NW1pAQ2tMWPxCyEkirhrCoQNKwuY8Y8dVux7bo1tsjbCwi9PMnTTEV5ugJdLoh1Bo8wjaIZWan8hoE5Vs8M0P9L501sQyAs2fThHvydGPvYjeEf8nSdWkyEDOaCdhgpDoSfDge4ayQKpQcYU0s074xTHvz9D92+TaEsx5hlwpHJ8pYniTFlq6T/UW6Nk2G45iUgj6sdmAkFEwPxnhUXE+OqYgQ8whTjYp0VDT/4WSYwwjR6YawUasS5Yi8sLl4k0eYFFAKYsn7zKP6rw/4XTCmZfTPxgS2Lq8ZQlNodDGKZe4fo2cvd0sBznqEoeQIax5hJoLgW6zN3vYJYaFrZ2sUVcxIft/a8Agj3RwaXZ9p0SM8UMTaDIbimCgHfVjtwCE0Stxb/dX3VzNoWTX6vt9rV/2x4TIqq9BpuAXcnW4IGzzCBe8sU1Jp2pQjDOIAigrN++5FMiPRvtkrbHMfKar0cInWFxFisXqE94/pZy8nLp+96hGGlyMUCICeSMBD6nWKabmqkIq3r46wINO84lcFWlZpUiARjihdKBuVNEgaViRJsaUNzYECXZcmw3Ey6Xvf0MnYG0IvCahtaLSFdlePTNLHsvS3h/T6mzrstjLocENoEsu0oXzC4hEGsqSW1CaySvUeIQG2LuPuGaX7iw05wkXYWUajeOAIfeUyLu48urYmlgkjzVa7NjIR+N/W+CEnIy1AMNqpt6/FWlGFTv12OjUE3l2qGjX6+GQimE9otL0e4Sf/rAWllrO2lYEv1WhDWxm0Gqb6/F/0a07lTx0kdx2eW+snwxzJa9DZhnBWmGfQFkPYmCMMRnZRVPwG00oqONKwQdu6jPxkjz4YIwmTnnaRGcLHs3RVigzH3faq5Wr5RCileLX8ccsLqBO1/moAYjwU5/qQUDHc3Bl/gljRKJ/oztDo0QqG40hHWgyN7i9gXQbDcTLZvvKJr/xVnwooQ2nrEXoOPMjJtMdUPtG8IXw8Sx+Z1P9uE/em9dyt++dOZq2aKDw62hCWNSTrvpJ2hEYbVaORYHKEJdXvRntGov2Nl9c5y8ndo7Q+QQggpLW+k9kxTrcuJ3BtQiaHWj4xG67IREk+0PKJWuWoQbu6rBlWYdrf8lpRu1g1aqyzLRvCA0W6Nk0GYsgp7dkHGCNWpgMKzFY0xCxmwVO9nFfsQqNNXreff0y/+mQ+IeCSdeQ3B/XatTQlhauUQYcbwlJjZLItHmFDQX1A+sOi4ldnWB8XNThxgPRHUZ8gREubr27nvjF6zvJq7xWnNH55NkcYSmhUDUs1OtnYRKNdCWAjaDHtb8cmakh2bR3hRIUOJ0jLxVH7i3RdhnAEfVEE5ZY1hbEo+dyyeFKpa+ZVwzPOaeq4jean5j09TR8+qr/veA7AiiTZ0k/uHql+HROL3CM0qnRrtKPptrmgPpBeoyXVr1imVk1fgwBbl3MmQ7jYxDI6xR/G9Vcu4+C6V5V1xLiwOsSKs9dGUoCsB2kApiQ6ULf/TYRTB+mJ4R75FI6WVRoXSKQ7yycmKxiKtbihKasoKFiaAIDheHuayxjXv88tiyeSRmOW8gnPptsFi0c4OyTVL5/7i/6xk/iaKOTN67hb9lUvJlOMJAw63RC21yM0T5+IBCiW8XWJTMu033IFfPml3Ls3NXxxi236xJPTdEmCLEsArpsAI+0fklimFq4gQFoI0inMVhpqh9tVU19QwBG/y6tRR9i1hpAOxUlrodEDRbo6RQy7MRz3225UVLE7F5jJNPZJAYZGHcon3P7KmiNsSjX69DTdMa5/YPPcsnbJevLrA7pxOWWlcPuroeMNYUNnmdkBVwtERYNAquI9g2QQnWUqGlTdr85wWoIpRwhgYw9Zkmh4ZLGpRu8fo1uXVU+LSwpN0hHjkOBD8ajqG7JnIkFOYso2ZkTa1W7UcHRm/KtGu7bX6MQ8xDIHilibrv485Nsj3D6qX/ZAYF+qcf37/KY8cWqx1mz5RFMBvOse1z96Il/vdaxOkWN7yb1jFIZqdDGHRktqg1gmsrAeYVExl3AG4lsYYTq/OULJnCO0ZbF5hPfPJggBxAXHnhdldTZHGEZBfd3lEaxw1KSRc6kPCZWCQleniM/QqFHy27U5QgwnWmygaCQIjZ/9e4SSVh1hGAjB5giN/ukmPLfa1hxhlPO7KD2Xo9tH9Q9uMRujN62vRkcnK3RoMYtlTAX1sYU1hKYEIQLKERYVGuX8hkZnZHOO0JZFlSOkwO/H9ZpH6FJyLus0xpPwmm7XwhU90SBLCU0ZkZA643hSVLA6TXyGRisaEnz3qkarodEW4tsHCnRtunoZDMX9jiRUdBwq0qCqYqo5woBCo0YcxYRnWCKvUFOLNf9jmK5/Qv/ICXzG0jjmzevIrw7oqm5uNHpEnPD1us3QTYZwgcsnanN2agQiuyipWJYkfkOjs8MI3VlU0yd2TtPeKFmZqoVGHVWjlTDnEdb3oQ1WOJptbKvYrhxhUcHqlF8/o9zNdYSTRmhUaCU0ur+IdbOhUf+lhLIOWcd4QE26xUDFMq1Nn8jLaLnF2l+n6LZVNqvcugxZkyL3j9NaQb1O9e899t+feuh6nQa83HW6IawXyxip+AVb70uqOTSaCkK/V1KwJA7Jn87Qf2h08XiERovR2j/dxDJGHSEfTGM8E/W1PZlIkKWE2cb9b7tm8xYUrE4RnwX1ZY0m+G5tsTZRE8s0v+EwigiNn/17hMaGPqjoqKhSngSXI1RpXLCoRp0TEABUHZLe4LSgGbGMS9zrzeu5W/fp2QodjJO8XPj4vZ97ZnL3V1/5TxwJOFLa4YawQSxDFnY2r61HOP8gm1F/5lNnOG0pn7Cl5f623cj943NKGbim0ELuNVovlglYNWouqG+LR6hiddqvR2h0lulG1ahOMS1hMGaIZZq24kbHbYPhRBMeIYCDxWA2DWUNSxLhqkZjnFvT7byCTAQm0+Q/TDUtOca93rSe3LpfL2vIigfef/vHlqWWfP28f+6N9tg+eT5YsqKdhKl6AUCUh6LbjMsKg6JCM43OfiCh0aJC05GqztAz7Dkt0wFrwN6CIW3VKCz1Py9A/jBOv/zSuXPikoqoVA1hKAMcio1imQAN4aREh+MNodG27HLyMl2dIn5Vo4ZYpgtVo1MSMhFEOKQjpNm+UbKOyQpdkZz1CGO+PcKqIWzu7ZwoqViZJAEW1DfbdNs6egK+u3zoFHnFcbu/sYesTJIe/Plj22/4wGnvvnDDud6v2BIdbQhNOULMditIOzw/WKxmOMKBA2Qd0Xk40iUFKYH0RH2NJLQW1DthZJJCnVTSCezK0SiPWjAK7uUTtdBo+GKZoAyhMXGm/rJvS4s1CogqVqd8F9RriHdnHWGtRs2QwlGYPRsXDhbpyiSp7T6HE02IZZICDgTkEVZUrEiRv04F12KtyRyhtb8afEvZ8wqSvOMOXqf0lORPnhN3fPXcz23s3+D9cq3S4aFRsyFcSL2MNTSKIKKjRuqxx9/IAmuLNSeabWjUpTw5RU8fbLhpXLQkFY3GeMQFyCH0rW4MjRKfMmBPspa2im0Ry4gqYjwG435Vo4ZH2I2GcKJcLVbhCWJN7pnqiwgBDMV8h0Y1bOwhQXmEooYVySaGR7pj6xFGOajU8SbKW2on4HtFmnGOi5YU8f0QcmsAACAASURBVNM7vhihz15w/FdCtYLocENo55Mt3Gzeop2DNf8BFEZIzacPYeq25cIiEY7mLDsDl/yopCHOExKCmEjVodG59SLTar9mK1nJ3FaxLUqogoJMBHEeBL7MsJHO70bV6ESFLpkNRKeb7Kq/r0DXZxqC2BHO130t63RjDwnKIxRVujxJiioCWQBsDSFcSwlzlmp6+C6od2qfdig/ctmdV/XH+27Y9oVPv2jA+4XmR0cbQpNYBgs7b8haUI8ghtQbHUl6fPgQkgbNosVyYpEIR623XELwKJ9AcN3Sa5i2aAGOJMxaRq+1ZUh9UaGZCAHQH8O0D+FobR5h93mEde0L0gIpNnOqDxTp2kzDAuWzuYyiY2NPcGIZFSkBmYjfmTbuOBlCl1CnbY7QZ7sr26DXQyOPfOh3n3jb5ouvfNk/CNxCSEI62hCWrKHRBazYtRbUI4gh9SWFpgTiZ+n0HxdFOzqStwWbul3XCfVGtiMpBFyBUFQaro0AxTLWYdxtyREWZueu9EV96WXKs6rRrhPLGP3VDJrtsnag0BAaBTDsbzyvrGNpgvife+yOkULqi/qtdXGnotK4XcrO5UbLK+ixhEZ95ginJdpXZ0Qp6E07b/36n264/pxPX3TMeb6Per50rlhGo1B1895kQQ2hglUp84OB5AiXJdET9R5Sb7pE3FkkHmFexqqU/xxh9foJvLmMaVBlJkIKAblCdh5hG3KEhdlwSH/Mu4JCo9AoolxX5ggnK3R1ai402pQh3F+k69INvsRwHJM+1JuyhiiP1WlysEhPGpiv1NuY0lP9pjLez3fH2SM0Qi82R2ufI/RnCGfqtvuiUv7iQ9+cqczceOHXBhL9zR33/Ohcj9CqlMECi2UsGUoEEhpVjNCot0c406RHuCgMoWK+5TwL6oHgSwlNodEAVaOmanq49pALj+KcR+hdqW30dAUgdKUhxPBsC/u00FxNvUksAyM06qNfjKE8X5vGwVITb+dEWUNSQH80mHajksX9MHD1CGlPxBoa9aVamJbQHwWAw4XRy+68si/W843zrltgK4gON4Q2vV8XUBtZslONpiLzHUBhrKE9Ue8cof/aCXRP3+0np+jNz7f+FeZlcxDGbUL9bNfE4D1CxZIjDMgQWuVRIbWIc6eo0HQ1R0g8K7XLs6NcIxy6rrPMZF1Du3SE+K+pV3UcKVNTfMKnR6joiHBYmyYHCgGcLiMu3R8jfrK5nhjDy6y4GUIZ1k6hPrt8zMi0L0b+OProP971ibcc/4YrX/YPEa4NccpONoQ2KbqF9Qira0E9qQBCozQVQY+PrJLPRqMG3RIavX+cvut+bVerw9hysnnv6dJZptYsKnBbYhXLBOYRWkKjnjNRw6CgVDup+vMIaYInACIc6TrV6GSrOcLDJbo0QYTGFbQpj3BNOhjhqCEq9BPE9oOLWMZFNWofGvXVRZKOTf38K3/8zhfPvva1G7c1ebCB0cmG0C40urA5QlvV6HwNoYJ0xJ9Yxl+jUYOYc+/pjmJawrIk+bsdWmuegzUt76IarfXRD3wkYalxk9QTJYWAeo1mJWoKjSZ40g6PEJko4C9HaITmgK7METaoRpsxhPXttmv4nMRk5AjXBBcaTfC+tix+aMEQ2oplIhwo9ajoKKuV54985Wjh0Rsv/NqWoeNaOt5g6FxDaJWMAogGVEd4yd3aszMer+OYI5zfqlT0HRqtRc/90C2h0RmZ/sMWTuDw7adbWTKte0/3HGFNLBNsms3kEaZnm5LMn2wF1oL6ttQRznqE3lrE2gS7AMsn8gpO/8VC2P+JylxDu6ZyhPXttmv47Ls9myMMJjRq+Ax+gth+qGgOqlHnvtt5u/IJeOllRovjl915lazH3nHqPw8ueFLQROcawlDFMk9k6bNe0TlbjzCA0Kjit7OMET33+bLdEhqdljAQw3++kr/uce355lcBazMnP+UTwYtllAbVKEeQaGmIjxWrWKZN5RN1dYQ+PMIEDyDI8on7x/THsjTADq62iCp0OnebN5UjPFDEOotE0+ckJlmnEY4EJZYx5BRBiWVsW6xhTjVqQ86uxRpcDeGfxv5y2R1XbVt/jhj98HDC934/NDraEFodsqBCo1mJHvLqb+TgEc67s0zVI/RTPtGERxhgHeGufIitu42RKxt7yCdO4d+7o+lgrnXvyRFE7GZhyzoEAo4AIeQIrddGJoJCEF3WTMMI0abyiaLanGo0EXRodPsoBXA0oIl9TkxWGvqbNxcaLbTuESo6ohyWJ8lkhc5/QStXPcJgRhK20FmmpjE2/4mdttGoFPzSw9/+wtmffPuWNzWVAAqPTjaE5rYyCMgQKjryMg6VPD1CG7HM/EOjxsv6E8s0cYkE5RFS4OV3xnz2Dm6B2siVj5zIlTX8+7NNfJ0ahWjX9872s0t1G9vARxJaFcWZCJm/+6JT5BTzl94ej1Cu1RF6B9yMOjYgyMG820doTwRHfBSnz4f6BCGCCI369Qg1RHnwBCuS5LDXQuSJqNIET/qiAYRGKRzH+7gkX2zbMsMQLjS6DRW18vk/fHXHwYduvOCrJw1vgRH38l0tHR6dawjtc4RB+D1ZCRQ45BWUsPUIg1CNIiUgE/Ue5eoypstKUHWEFRWqjj9PhLUTrw3h5An+ayv/6Uc0o9HU7hy98Vn9bfdqG25WRxyWBqPK23pGbE1F/cY2hDpCmmrcJPnZ2XgyLaMnYu7EH29Li7WmPEKNJgRDNRqMRzhexohIz1nBHQnZI6xvK4OmPUKb0GhfDCXVe7Nem2CzJh3AeN5qHWEsALGMpCHK2c/fcNlqF+18Blhm8x4VJz/8u2t4wn/r/C8OJQeNB5lH6IFtaDSQXqPZCgXgvhGTNPAEEcvpmWdBvapDpYjzvtZNl8HNVoISyxj+7iOTfhegKQk37Gxi8auP927uIx89iT//dm3lTer5t2sPHaEXriIpAYcd9ihOOfm4YN54ojp6ovrkZNC2pKRWtSQ1Amk3akziNj2YaE/T7dk6Qh+Zp7I6lyMMxBDeM6qfvYxbkQzdI5ysVGcwGfg3hBrFiDjXkqYGAQZjyHoFVGqGcG2azLPjKAUqWmA5Qqe4KFwNoXU6gkF9vuaJo09fdseV56w981NnXhHjq0tAUUGUm9dUu6Do3BZr4ZVPTFawOkXcc4S27iCM8ol5rEq1KybCQeDsP2ONJnOEwVQIGC/y5wnd5ybplwf07+zUP7jF77VsUgBddRJ3Qh9OHCAbZpsX/3Sv7pTqsG1yD4feK1K9R8hjLEyxDIBMlBQUcwOqkoppyVxz7UJWMhcRol05wlpnmZgP1ehs+URQg3m3j9BXrySTFboAodFaWxlUxTK+1pcxkQ7GiG0I0ei7vTzp9qUbBfVw9gj35Om6tLlI0ZaKihgP4i+I7f1qzRvCslpdzazUDOFte+78r7/e9OlXfOz0ZSfXP6GpUulQ6QBb7EB4hjAr0ZMHMF6mLlINJ2c/NT+xTH2zZk+nsKnQaFAeoaiiJ0L9h0Z/fYD6z2BpFCW1wZgJHF6/lttQ18K/L0qcJqtZ+6sZ2PpM9eK3sMsn4FBT/8Pn9Cv/2MT1aq2mBxDlqs08F5Jar9GeCEpe830CF8tsH6WvXkGWJkjYoVGzWMZ3jtA2Lmrgp5TQyBECWJOy9whfe6dmyIU8ETUkeQDoiyKnzLeGp9aDwoqTarTkPA88xqOkyP/y0Ld+ufv2717wFZMVRJPNs0Klcw1hyVYswxN53ktCtoLlSTIQg8ttZo19GcwzNFp/0WQibmlCVYeo2ZSpOhGUWKakYn2acsTXjJiyirtHdP+F/DkZmUhVyemEi/gtZ+mvZuAklgkvR2iaPgGHbc2ePN2bb+JytY6eMGjNKfzBc/r/vq/Fa6I2fYIj3vN96sonyPxbrO3JU5Vicx9ZmlhwsYzv0KitUsbAzySmudBoxsYQHirRXTm621/3JVGtJmgFDgl+vonqFjxC671QI4bJGx+9RtaV72z70rLUEusTmtIDhkrnGsIQQ6MSBuMe0dGiJfZlMM/OMvXyKvcKCqM0x3/UIKjyCSM1+5Jhzo9TeM8YPbaX+DfAfhRiLqmOvKW/moFtlzWzRxjm9Ak45Aifz2NfM7WSth4hWuq7/eM9+gcf0HwuplbqIyL9XnLEct1aPH/V6PZReu5yAmBJnBz1N/C9ZSZbFcuMijajaQyGEz48wppYJmUTGr1nlPIEPr+7ct06Of/oqIshdJLjOXmET07sVAufPHbo5Z8588q4YG/umgp6hUpHG8KQ6gizFToUJ6vTxKWCwskjTEVsDGFeQdZfmrp+Ae1x7dTc7CUSoEeY4OlLhsiffehlbjugv2U959/G+FGIudzMjqFRu94rklbtr4Ygqj9N2IVGibWOcG+BZqUmZs45eoR8c2Kfn+7Vr/6T/oOz+ZbNf6GuMqzPS44YbGjUSBACWBCPsEEsk/I9mHdEpCscsoBDMXh6hIpOIxwBsCZNDpWo6dnbR+hr13DP+Ysl1GpX4E/Z5I6HR2h3OdnWTty2587P/P5LPT0fOnX5JS5v15QMIlQ62hCG1FnGkCSsTrlVUBQVau8R8jZ1hN94Uv/CY74Oq96+ujeobPYSCap8wijffMkw8fQIKXDbQfqW9UTW/WYm/OhgXfT6zmIZm+yFpM010Q9+Qr2l65A1R0iB5/N0fYb4dwrHRCxN2DzeVJe1nz2vf+yP2l0X8acNktYyo5IGjsxp+TyXV1ELTDWqU9w7pr96BQGwNEmOiJ3qEZaw0tEjJP5zhEkBaQFHG+399lH6gc3cczlfR1JTKsE1reATd0No20Tb5BHKmvwvD//rL3f/9oZtX04nT3EPU83I6GOhUXdsJbmBeIQTZToUx6qUWylrUYGtWMbWt3g2R31WoNdHnNxn90w1WV4TC6jnTklFkqcvGSaPTlL3dM8jE7Q/hmN7iW1jF1usM4asuNzMeYX22JZP2Itl5lomJoIWyxSt5ROWkYTjIlIRnDzQhCHclaPH9TY3HNzE/+zXL39Yu/NC4YR+0nKQoNZo1MBTOFqLzs1fNfrEFB2KE0Nn2xOBQsNVzB4tN4hljBI6P/fR4RJd6eYRevy5pM/tM9Y0VlDsnKERDuetIKOir6Yz9Q6Di9DMJ+6hUdvbvFC3pk2K2Q//7pqKWvnOti8tTy+Neq0MfhaEhaFzDaFtZ5lAMmFTEgZiZHUKLjlCp8oY29Do7hz1007C9LLu7UZzTTZcSARUKmfcVwMxDMWJe3DmNwf1164haKbQzXZciwm30KiDR2irJZEac4TBeoTWi9Mqlnm+QDdkyIYMni/4fdndOXqsnSH0efzbR+k/PKDdfqFgDD1v+ZIoKjRTd+15eoTl4DzC7aP03BVzbx2qcFSjyFv6+KT9NUYYK2NF0v5Xwwnv5jJKnSFc2ziM6Z5Ret5KInBYnSZ+lFblurmtQXiEc9W3JpwUW7Uc1pMTz7z/jo+9bMWLPnvWVXEhDmcnskZTpdKh0smGMLzyCQzF4ZEjtOu4jdkmJvV/RoHdOepZQmtQr8FxF8s0q6cKUCyT5CkAz+jorw/S163h4DoR0ISfeK/LsutkR221JPV72+B7jVrrCC0a4L15ekwPWZ8hPnuLZyUoOpbZhkb9iWV+dUC/+hT+lIFZP7jV3mxmj9CruYzPHOGBojkZZmX7SDUuahBqmjBbQV/U3MfHT99tCoyLjpWCnu1GdQqdzhXerU3jYN2OfPsINc7AsT3Y48MQ1u/J5j+SsKK6hEbtyyeMHOFte+689v7rrnjpB9998tvIrMgv5pBWrNEhbWWwOA2hMZPaI0foIJbhiHndHynRsuprLDVMOULX8olmLxGf86A9qZ32Fw+5GcJDJToq0jOWVD0PnxUUfuZpuEgzbMeewcElrQ0jRNDzCI0r0NQOw5ojfL5Aj8lgQ4/f0OiuGfu4KIC4P0N+uIQ1dRPy4gIkrZXCskJjD2VPLaJP1ej/utNj9pms48Ej9FXL585sqMLRSakhLmqQ9jFFZLKCdMS+ISeA4TjcZ/PWqukN6sfzahT3j+vnruAAbOolu32kCRvFMvNVjUp60+UTeUXNztxw667ffPeCr5y56qX1v/KczTstUeYRemAbnJx/7MWIhwzEqq3fnV6tqJibSdYwKS925XDygK9Ou6aXdR9r3mz03Fj15k9JocZ99VJXj/DXB+j/Ws0Zu2n/uagpCQNe1n0gRqYcbuacY4s1m41nWZ0TywRbUG8bLbB+m3vyOKaHrM9gn7/QqFOCEEDC39TlQ8WGpl8E9nM5PKk1GjXw9AhrNd3ut2dZ9TDnDx+lx/WR+v1fqB7h0XKDUsYgHfHuqj9ScusWNBQnRjdjJ+oThADW1HmEj0zQVSliCKY29hB/HuFccMJT3+tJfaDVhG3MKVue3rHnU4QWvnvBV1Zmllv/xF3bOC2D5Qg9KCm2qlEiza+gfkpCXxQcAU+wJE7GHGRpTuUTAFKRBvdid46+ZJgoui9j0KgadTOEzUbPbSeetICoVfcfLxoiT047bhRuO6i/bk31CvZvCP18KJdWJnnH0KiDajScgvqSalNBbOMRGqHRNDlQ9JAdGezO0eP6nJp6+PQIzQt0wnfUup6C3JAj9F8+4S6WkXWPS9QUF0XIhnCyQocTFo/Qh3B0RHRMEAKIckgKbjUzSqMhXJsmB2dzNEZLHePnTb3ETylhTbKLBSifaLzNd0/tvezOq1KxLS9ec3VCsOwpgBhHJNdLn4VGvXESy8yzfGKybt7bKufoqFNBPSyTmHbl6KZeMhgjWR9OYf3LuqtGm71EAqsjVJDgKYCkgHVp8tS0fVbgoSP0vJVc7a195wi9iyM5grRgLyNymv/poBqdC41GOVAENiHItnCqJ2quI9xboMf0kISAviic9lv17MphU6/9r/yoXhUd0zKWNKYYW5tub8oR+iio95UjlHXqfjDbR+mrVzSsSKGKZSYqGLLcYn5yhCMlutK1f+xQnLhER2u1EwZr6ubUbx/Va2fg2B74qaAwF9R7NYZ1x78hvGvffR+/958+9KL3DvS9I+Mg6/ORI6T9HTCDCZ1tCG1M0fxzhNnK3ATw1WnHCoqi4uwRNroXRmpnMO4rTdhMjrC5S8Q6+qs16k+7k17mjsP6WctILXrmf7X16eY63c952bF8wq7pdoP+LcCpfta2MrBsa4oKikq1KHB9hvgRjrrkCP3ockdKdFmCmKQfCZ6Um4+gmEKjnlpEny3WZM0tTltQ8NcpeubShfMITR23Dfy0Gx0VqYtHCCNN6KyXkXUarWszOBxHRUNRQUXDnyfo1uXVX61Jk0mJekYyaglaBCKW0ahT7rNWqazq2jf/fOOPnvrZv57/L69cfYZL8MyPapR5hG6oOnSLHgGAZ2GKJ1PSnEfoopexDpyrYfIId+ewqRdDMe++SmicWtDrqhptttQ0KI9QVKseIZwN4W8O0teumftu/DcA89lj1+l+zjt4hLaiUFPaf/4TlWs4Za8FMncYewt0Q4YYF9AGH8JRjWJfkW7scVSuey6II6JNiXdrMeFiYxK0L4oZ9/IJtVqy6eURwiWv8cej9LRBYkpQheoRZuuCQzX8lE+MiXBqK2MwFIeLaMAkloFRSliiDxyhJw2Q2hXOEWzIeKcJ60OjfoZHuiNpiDuVT/CkotHpSu6K7Z86Upr43oVfXdOzEnaTWGq4d/moaKBwdEAXmA41hLX0u4koP1+xTH2b3dUpcsihtbSLR1hf1CVpGBXp+gwZ8jeZuqjS9Oz2zX2CnR9dST2emy+f1Pc6tzWEGsVvD80lCGGk6Pw5oz6nrtimOmQdqm4/tcr2fqvvNYrg6izhXFqTicw5E0bthPHzhox3x9H9BbokTpxmcvnxCE1KGYPWtkcFhWbqdoGeAbea0thdNSrrbrvYGZkusWTswvYIl1g9Qh85wsNeodHhOHHxCI3ht/WsTuFgEXdbUqQbe8hzXmlCU2jUSWjmE/eCek7f94E7PnbC0PHXnX1tKlJ1iuvXNOufuGSypiTa1BIXKp1qCB0G9c1fElJvYFanXTxCx21OSiCl2SzCnjxdlyERDkNx72mcaNw99USRd85GOCkknQiwjjDBVY/q5AGyJ28Ozjx0hK5Ok3pRhv/QaG4eoVGnano4SEKkxls6GVyXNdu5KAB6onOx7ucLOKan+vj6DHk+7/Gau50ThPBnxUftFBytFVA26xEag2Hh6hHqFKqroEzSbAoSliTI0dA8wklbj9BH+cSYq1gGXpOYFL0hRwhgXYYcKNJ7LCnSTb14zuvKEesL6r2+KU9cDOHDh+9fS/75g6e/5/2nvZMjc+fNRU7hvg+bkdFUz5BQ6VBDWFLs15r59xrNSnNtdlc5e4RuqtG62byGUgaAzxxhsaGzDHHyCHWKvNKcapQjEEgARZaiiqRQPSdRDif0k8ezc6doWsKHH9LedWzDZeMzNCqq4Ihj9VU9tiuvU381OBQymjzCACsonLoO1acJ9+Zpbcjihh6yz2umlUvtBPwlOK2SUZ9/aKXQaAhjPHjOcRthzEo0XBwXQ2hcmS57tfq6zxr9MZTUYHoHWjE1GjVIR0jJa8/h0nHbwH0Sk2wXGn0iS5+ZqRbm1ji2x1s4Wq4LnsV4CNy8UgC2hlCn+o2P/eAnT//0r/Lnzl7zCtNvnW4HeO3OO0cyCv+G8Ac/+MF555130kknvepVr/rhD39Ye/zAgQNvectbTjrppLe//e1jY2NBHZaTRzh/scxk3aSb1c7tRosO4S80hkZ35XBcLwAM+VONluoEh6kIKppDnYCClGDueeFJIGnCUuOZf3FddHRGxrbb1VevIB86oeGy8dlibUb2Wzxrq85wqp2Aj3mECLTLmktotJZeer4uNLo+Ax8eoWPtBPzNIzxcshkMFBdakVAVGwvq4Socra88cymfqBpC55vXmLRuggDD8bCcQtMwQgPP0KisIyfbWNB6vD1CsyHEzc/rr1hqHnm/qdejzSHq5hEazLPdaMXil+ek/BXbP/38zIEbL/yaTFdbDZvLUulePtE5/dXg3xD29fVdc801t9xyy0c+8pGPfvSjv/rVr4zHL7744rVr1/7iF7/o6+u79NJLgzosW8kogChH5PlN/qxXjS5NYFq237O4TJusn827e9YjHPIxlhpASZ1rUEuca+qnpeYajRoEEh2ttVgzqM1jysm44Hb1lcvIV15mXq58GuBpCT51sLatTJxGT8CxxRptzBEGGBp19Ahr3+beAjbMTjBfmSRTEnW3ZLXQgi3+DGGAHqE56+OiwqjvbMIRENjv7YxAjrtHaBuUazlN+G87dfelwjSe3sDTEI6LdGmCuA+X9vQITYZwbZpMSTDFRQEc24umcoSYd7tRU4u1PdP7PnDHlZsHN11/zqfS0ZStEMEleOZePtE5wwjh3xC+4Q1vOPfcc4877rg3vvGN27Zte+SRRwA89NBD+/fvv/766zdu3PjVr371kUceeeqppwI5LBexTIChUY5gRZKM2NV4OU2bRGPf7ZrkfdCnWKaxBM1pSH1rqmKnZoBNYSrfNPQyeQUX3aG+bAn52hk234rPBmD+dbC2Ypm8Qm37q8FIUtrnCOc+SDI4sYzTJqk2V0vVcbhE12XmLrM1abLfNTpaCy3Y4if4bOsRtjbavmD1CJ11+WWtwSNxio4a+9dmc4Ro1RAeKtEPPag9aVcFa1BQwBObLiqe5RPu1fQG7h6hqY4QwJoUAJiUMgCWJ0lJddOWo3EjgnlXUNTPbNl+4PdX3vOZ95/2zvef9k6OcHBo4eTShMu9xVrnDCNEUznCXC63a9euW2+99cEHH7z44osBPPnkk6eeemokEgGQTCZPOOGEJ598MpDDsm0rA6N8IrjQKIBVKRy26GUkrdqeypb6SUy7Z1M7Qz5yhBSoaA2fy6nvdmuXiGf5qh9KdeUTAI7vI+Mi3Xa7etoQ+dbL7YO1Pg2w/w9l63/kZDiphxwL6us9wiDFMvbhippHeKBIlydJ/a5/g2ujtaKCaclG81nDs8WaRnG0YtMGuoXR9sbxZBq/KRePsNy4EDsJR2c9QsdPUb8E19NaBcX9Y7T2f1sm7NrKwEdB/aiXZBRefbdNdYQAVqXI327kTh00vywBNnqlCcuNS8o8240aUzyNpOB/Pv6jr7/6C+esObP2W9s73aOO0CVH2DFFhAAcPoEdt99++5e+9KV9+/b9zd/8zQknnABgYmKir6+v9oT+/v4jR47Y/i2lVJKk9evX1x5561vf+ulPf7r2T1EUVVXluOriMVXkouCLRfPVpOqQtVix6Dw/yYvJSjSuScXZ7fnyWOS5Sfn0dMO9Oy2TlBBxehde5WfKpFgsZyWi6pGkViwWkdTIZDnqfmAllcS4iFiae06KixzJyesi5pVjLMdleJuP706URKeLUpFv/TbQKFQ9plVKxeLcPXn6QGRDmv7LyWrJ4cNxKl+okGLRY98+nufS/j5UXOcmRd70ghMFPgH7d9ErEFXzVSHKEV2Si8XquY1QYUakxWIAgpmZsrAqZvNScQgTRVosak8f5dYlGz7pqrjwzKSytd/+3R+fIhvSDReGAaW0XC5TSqFwRcnt1I2KGIjGJLFo2owJupBr/lPnpCgnz90jADJ8ZCw/dzLryRZInJu7WQQSnSmUEDVfhDNFAkQLZdnpYAplvjdKihZ3rJ/nD+VsHnfn7oPCy4bI9kP6e9ba+1OHprmBiGC9YXmVy1VsTrUoioqi8Dz//DQ/HPG42pM6mSg7LiAFkSO6+fL+3osh2inY1ycjTx2Rj487bv+LchR1X1aai4znNdtvyg8lOSKKUx+7+18p6Ne3fj4jpOs/RZREpwrSQF0j1YoGnsQqov0n1SRSVhzPw0RRWJFo5ZYslUqENBFTjcfjguBh6ZowhJdeeumll15aKpVe97rXfe5zn/viF7/Y29tbKs19e4VCob+/5tcMdwAAIABJREFU3/ZvCSHRaHT79u21R1asWBGPz2WcOY6Lx+M1Q6gLem+CptO2GwYlkUo3KyQxoMCMrKwZSNW8vfV92oQWSacbvL+pIk1HtHQ6bfMSwEBaf06k6XT8iRI9vr/6tDUxZCXF6U8MSmWkow3P6U+oqhBNp80fpszpwymnj+9IMqJysaT11fxTUJAUlFQqVX+Qt7/Go+i1N6kflmk67aofAMpEH076+lAr+mhe00zPlDh9KGX/LoM8JN188lWo/Zm5c9uT0DSemL7o1pChDaRsXmogqclAOs2PKvqx/Q2f9LhBfVSk6bT9eTx0RN/cT60XD6WU47hUKjVQojLMJ6SeaZGuTttcsT0JTW/+U4u6srQ3la6rsRtKahVivk0MSImmonNvHeGUaKLhbw0EhQIqFaJOJ0HntUyCWL/fVb36oaL31WXiwaz67Zfz77hPTTncD8VpujRlc8aGZVqmNqea47hYLMbzfFbT1vXaHGc9aUChipBI2944XERPxvze3VsGtYOy/Zk3qOjKYE8yPRsMGE5pZYdvyg+a/vz/eeJfXrHylI++9AM8MR+9dYWRJKQFx3WvX6MKHBfSItWW9bRyS1Jqc7PMkyYMoUEqlXrNa15zzz33AFi/fv3u3buNx3Vd37NnT73PZ4IQsmHDBp/vcu4KstlBRGekCZ1apLszIyEpNMQ8V6XIM5bRMC4JQtTpD3fXSd7TEajUrXc7DKVMY24pEyF5hQLmT9qanmr+YpmSnVjXs/XDAuUIHfqrOR1Afa9RBDqS0OnyyETIqEhRHcDUcKjr03hg3PEFd+dwXJ/jb+Ej1WerlEGrLdYKFh2giwSjrDWERiMcUanNJe0tlnGoYFuawCMTfo56jlGRTkt02yrSGyU7p+kJ/TZnZrJCh+yUGp5imZESTrDf7TdgdNiw/VKsYhkXju0ld494NHqtT+r3x9Byu9EHDv8pKX37tSe/6z0nvtr2CdbOFS4JQrwgyyd27Nih6zqAsbGxn/70p2eccQaA888/v1wu//KXvwRw0003pVKps846K5DDWpMmL1viYAjnUUGRlcwltKvtcoS2XZVr1Jp1mZR+Q3Ey6Rqdt1aeOg2pb01P5d7QyA+i3VwFT3yWT/jvntoXIzOWm9mp47bTAVharAU2ktB2+gTqhtTvzc9V0xu4TyV0l4zCR6rPVikD33uUelQdiqWDj4so37T5cxbLAC2KZZrOEd4/Rl+5jCPA2cuJU5rwmRm6PmPzuHeOUKQrXYsIDVwGQTRnCHs8KijMYpkoaUEsQ0Fv2nnrtx658Sj3qVetPdfpadacn0uCEEDMdVhQ53Tchn9D+NnPfjadTi9fvnzTpk0vfelLr776agDRaPRHP/rRBz/4wTVr1nzyk5/80Y9+VItthse8DKGlcsi2y9pkxbFkDUBqdkndNdOg9BuKeTSXsV40wYpl3FPTfnAq3/R8X391hH49QkOaYfpW8rL9VF4AEQ46Nav2KyqN15mrAMUyTvukWs+8+mp6A/c59e7V9PAxTcmp6ZfPPUo9RbviEFePkCbqEhWCqyF0uT6depq0oBrdMU7PXkZgGMJx+9N+6z76hrU2i5W3arTkrRqFa7slWXMU4lk5ttety5rRzSA2P9VoUS5dfe/n/zz22H9c9I28vsGp1yjs7nSXtjLw2ppPN9lOOVT8Lnv33nuvJEmFQmFoaKj+8fPPP//QoUPT09MDAwMLYAUBRHkiazaxFz9MShZDmCaHLDX1vzigb1vl+FlqodFdOXpc79zTPEsJrZWnPQ51hM02GjWY3X+1vsly6Z/rQpwnFc17b+L/Q0U4JHgUGl3AnIxe52MzbtH6Fdy0sLY2kMgWx9BolBQVHcDzBbqhsX12XxQCh0m7Cm4K7PHyCG1b59RzWMTpQzaP+5+QVcPUaNTApcuaafMkEPs6QsMEumxhTaHsGi14hPeN0Q9s5gCcs5x8/I8atbSmeCxLNYrThmzOeVyArEHVITgsACOit2oUrvt1WffVX8lgOA4KZKUGrXsN68612b7b+3OHrr3/upevfPFlp7+bJ3xFU1xSIbOq0Yb+ai4eofvWvLVVLiSaMF2xWMxkBQ14nh8aGloYK4j5eoTmse9DcZQaB2dLGv5nn/62YxyvdSM0qlHsKzSMC/AsJbT2qKzvTllPs41GDebfWcapfNMdn8VqTX0oa029S4s122MwtewKdvqErd9stFg7WkaMt0nxOs2gGC1RY2ahC55n2GlCXguN5axtZeDad7vcWILtVOmr6CCAS5sbSWvw4GsMxpCTm5gleaSMo2V6Uj8BsDpF4gLZZREB/M9+/c3r7XWHxHVIfUGp9sHwxOVmtE6fcMel0ZpVlNDUSMIHR/58+d3X/O8T3vyPL3qvIY1x6TUKuw9VUqnL1tl9rc7JrbQNCYkO7TXqwnwMobW7IAFWJhsarf2/Q/rJA8SlqMvwCPcV6LJkw9QYz1JC6xLj1FmmVY9wvoawNY/Q5/s29aGsG9ucc4s12FU4SZY6wqB6jRYV6tJizZjHa/3t+ox9mnBXDu5xUfg4+EMlrLbNETZ/SViVMnD1CE11bE5d1iSNpiJuRcC2vUYBcAQDMV+NfA12jOtnLeNqdXpnLyM7LNHRW/bRt6x3XPpSgmOa0HPuRA0XnYhTNtQJlxkU1unlPkOjRlLwG3/67vXnfPqiY87zeWx2YhlY4wc1OAKeOIbKJc1Nk7jAdKEhnEdzmaxEBy1NlUxTCX+yh/7tRrfTYgzmtbYC8cwRWnNLTkPqWys1DSJHaN/r3B3fvUabkMJa72eXXqOwrPiyDoGgvmo5SNWogrTdzW8Euq0JQgOnmvpdrl1GDSIcKBy9Ip1izKENdAvDp6xtZeCaIxQbnRLHgnodmUgrOUI0GR29f6yaIDSw6mWenKIlBS8edjzn6YhjmnBUxEofCUK46kQUnUbcW7Q1cmwvnPQy1hCOi0inRkkRr7nvuodHHvn3i76xeXBT7XFJQ4SDy6HFLS073HWFcN4lG6NJO8Uf7EpDOD+P0Bpqr08T5mTcM6q/yXm3CCApkJJKd1sEDoNxknVVjVo7kjiFRltTjc4/NOoU9AvkfZv6UNYGGTmZ9jjvPU3JMGvv4ERwqlGnALLRMM8qGTVw8gitF5ItLif5aAV9UfuNfAudZYr2OUIX1WiDWMZFNZqJEPfyCSdfpCm9zP1j9OzlDYbw3rGGA7p1v/7WDW712C4VFCMlj7kTNVzCJNbpE+5s6iXP5ex/JTYfGj2YH/nAHVcuTQ1//dVf6I837OXd46KwG3rqXmkG5925z9GkC0ZXGsKW/Z6sRSwDYFUKh2ZbH/zsef28lZy741L1CGfMAgdPsYyNatTBI3QPAzox/zpC0Xmiigt+FBkaRVnzlVwxsLogBcVRNQqLFsZalJYMKDRa0cATeyWFERq1FhEabOixzxHuylGXSYQ1XEyaUxEhfMhNrdiGRnuiEDV7V6+s+Suf0BbCI8xKOFyi9b3KNmRIhCN76zyqW/ZR952uy0jCUREr7ULQVlzCM9bpE+64VFCULTvXpACdOtrgh0cf+fDvPnnplosvf8n7Bc58uv0YQhvVqIdHaO8Zd1QRIVooqG87MX5eYpnBuPkaXJ2aG7n3k7365Sd6XKQxHhrFzhn65sbbaShOJituR1ZSzIHZnqhNHWFBQYxv7lYxaJdH6KlpBDAjoyfSRCTElJQqq+CI2zkx2Qlr48qgxjC5TF9LCNAonp2h7z3O5kDXp+2HMe2a8c4RwiiNV+0lwW6GsHmtrG1olAA9EeQUm4BK2aIadfIIeyIYFR3fNxCP8P4x/RVLiUkk+spl5P7xauJ2V47mZJzhUKNs4BIaHSl56HtruIwQb6qOEFWP0K5JgaWI0KA3ihkZyxqb+1DQn+78n1/s+n9fPPvaLUPHNfxKKlNNA1Ap0WGq6aJA5QrVGvYCVJaoqqzK6dEC5D4OAJUr0NSBw3oyQqTdBABVJKo0/pWmvnmipP6RlGbXPaprVCoDEHL0bUdoYTtHteojc2iqLlfMj9Q9RwWXeecn0EyXNU+6zxDOr6DeRq+xOk1uO6gDOFikT03R16z2vkiTPJ7ImjfygzGv8gkVa3x4hFOt1pnGeZJrtamEgXWD6Qc/qtGZJgdLmSI8eVd3EJY8pXVVDcwQOs/nApCJ4KlpusGuUntthoyI1KTLlzSMinS9nQdpwkX/OVJydFNakAg5lUgbOl7rSPeyZlaN2hpCRUcmSiTnERxuhjBJjtiNiLGyY5yevdx8/569jNw3St+zCQB+/jy9dKVIRa7+5ahcptrcxbFW0fRxWUbDiVMKOcKRnkPYrFbXfV2WoDau+4pElerG9mX79cFxUpykVGow/lTXztojLk0g9/zsmfRa9wHcsF8Z+bZkOj+0XFov03+q0KM7qy+ll4ug+E2JKnvIODf7CGiFw/dWqtMR+rmDkZ4dlx+mDSeTxBKE5wFwFD9XML4TJBIjQsP9RqIxIkTOEUFBZ54gAEg0Dl44OUeTAvLPEwAkEiORhj0U4YUtYkwb5eTZFyMcT2IJAGqJDmjQRUJ4nks29kvjBSEaNz3CxeYMe0VHsFYQXWkI5yGWmaxQ60TNmljmpr30zes5P5u1hICCAtM23Ds0agk6ZSLVwT317M7hWB+xMivzCRoblNS5GVX+8eOJNiv/6Y/h2Zm5f3qWXsxOoK0+xxrkaW0gkRX3pEg6QkTVZgoEgCiHpQlyqNRg9vbk6do08ZMxcjnJ7h4hkURdbHgDvVICbTBWVKrULEFsTF/HQXpehdoQrNhWECtPaOW6gzfW/VP26BtmSGnS8Ank1+yrDBZJYffs03Rdr4gAjp+gA2W8rEhzv6K62QPQdEn8p4O6cDOXNb41XdMrc8/ZJtKZinb0D+a7Sy+X0Lim/32+lBb00f/b8JyLKL0IOPxLAHgXoMdS43c0nC4STRB+biW8rIJILDbTmM+nfESKRM+cxLoxko8CABeNQWhc9yMxEqku+ctnaFyACp7EGtQ1hONLkZSeIFztIuF4IdbovjWu+wAe0XH8ltRJA42HnUg9fJj+YRxfeHH1++USaRB84G7t2tO40waJ8chI8ejn//j1EwaO/edT3hXhBC6RcrIiT0zRd96nPX6Jo1H44ZP6EZHWTyS9eof2ymXk9E2OV/B3f6G+ZCu/wTJY4y879aem6TvObL5aC1ALzpNcWqULDWF1Nm8rO4IpCQOWLW2tucxNe/XvvMLXF5MSyPKkWV7l3WLNElWz7Syzc5pu8ZIR2mI7NrMpWssRRjloFDp105s1mxIwid/yils1PepcH70iQtflIh3UNV0UANCKSKkWr6C/pKrZ2Ud0syWA3mAnqSLXdvd1j0h6gV58lJYe5ABQVaFKg0TvsrFKVJMLv6lbF2jVEgD4wmFdvJWbjmu1R7QS/XIR2f+itUdqf0UrIgBd10scB+DfprW+v5bHGy9Pw6S9R0WEw+jNcx+//jm/5pPjOxvWKRJPksZ+yiQWr1mCM0s0wpH8zigafYLXTEc5OSrWrc/Gur9shvYCcsXwCaJpJULK0Gu7Fo4z9vvlCNVBp0XKZSLC8MqGj8HzXCx5R0577Sl8NSDB8Vx87p2em6S37CNf3Wrus2xa03MyLvptdPffxOo3FsZzVt6kPvh6Xtaw9Tfq4bdH3Fv2X/+QtiFDPtKYIhFFMRaLfeBn9A+v44d99LV/8FEtwpFzTrOxENvv0y5cRV7lKk03kctrT/STF1vszVFRn1JpdHXDtyn3qRMJXhgkAP409pfrHvjG32x549u3vMnzXSoq4q63fws5QmexDMsRzo9oq5KQggKB2GSD+2NQdDxwhBYUnLXMlwVKRWBNFRgXhEuXspJCU40qiygHnpirYp+ZoScP+DWEtfg+gIymQ6TatET1hhNEK2XzI1IZjY/oUhmatuGAvj5HlFylnEhQVaGNERvrul+zFtce0ad+zUU4UNVsP6DreqW0pEQ/UkL2CAEASvVyY4NXSmml4ZGXSvoJxdL4H6rnYVDDf0ja6J/MKaaaT/BVAMDh2TjPkI4bNYw/Bsyu+zrFDUU6eQOpPtLY/4HE4uAavjYSidZ293WPxIiI40RdPswBIEKERBru5hgnRBJpLln34oQThlYYPxbL+uEesm65wMWrXsLTB2hBpsnj5h6p/RWJJymllUolkUgA+D8P0PecnH750oYLg4unQLjX36VeeTK/dRkBwMWTqPtoJRXH/VgpvauJcq1P/UF7yRB53/HmNfcH27W3biBbLDKT/7pdvepk/tSV1QO74x4tsY68ZIP5aY/9RRNV3LBT/8q59gfz68eV758ase1Znxykvz+iRVd7LFYPHNA3r9RjdoHdrcvJfWN0TMQl6znPwTVOOUKd4miFLvOnGo3zpOSgUm5WLANgg4PkuGyXI5xVXJNbnr3tx0///HOv/PipS0/y8y5OpZw1rJH2kkpTrgEN5/IJusRuHmS76DJDqJeLvapGRVKL9pji+2iM89Qega5OifQiSZd285hd92tP+Nuydt9vKtclVfHBuS+VaqqNJZAlAH9/QF+XJbkSMdmGL4/q2Zu0st4Yw5ld9z88STc+SyaiACidtQS/nqJT3yACmXvk70XaHyPjPNXL5jle1lhQLb4P4JU6ztBx9IEkadSDkXjC/EgsgcZHuFgCPH/cUbpiCkpMo4JAhAhpjNRb130iRIz9vhjRtDgfE0AEs/0Ax3Hx1MERurdAX20sr4RwicakFiEk3vDIwSnyhWfjt5xXPci7Duu3HiD/cZ65LqHmE3zgD9qpg8RorAXgnlF63ePa9tfMXd46xZr/UtS/m28F74OH6M07tf/vAvsb547b1S39JHOGfVxhMqEf1ugFL5777V157cylJGEnrgFAKVVFMZpKATjarxYy1W2+iV2yunKQ52zrCJvfNdqKZeBcqS36Hszb02r5xLIkGfeRI7zfLkFosHUZ2TFGn5hqCOs54VRQb5Sp+LRhUd656bZlQr0ngzE8NW3zuGg3I7o/hsmKfN2D392fO3jjhV9bmhr2+S6mJkFWrLp09xZrAGIOko4pCce7TlxZYDrUEEq7H8t+/zqrJeAS6Ss18AS1GJEpvo/GOE/tEXCCquCdMzR/N8Hsul97woU5uk+Kn3FMVD5c91e8YLEEgrHuy1G9p5dwSWKyDSMTenFVdGigMeI/u+7//AHtihO5nl4CEDJrCb75O+1bL+fWZrjaIxf+Ur3jQmEoTriERyzIxK379Jv20lvPayXsbvC9u9T3H88f01/MZOz0Hs789Kh6+Vl8xrnpxrOcfrRME6f6PbZUhu56ThMGq9/jxJSu9lLOuf+btXzCtKpyBBHOWyDuibtYpidKbKvpDY7pwW0Hqz8rOv40QR8+St/tnF+pZ7Y03vzi1LX7JUcgcM21MikqNG23x3dqYlnxWT6hY1AAIfZtPK0NEOoZimFK8oi9A9gxRr/5cvuTefZy8ulHNJ7DVh8hn0wEY3bq1vEyfBYRwjWnK+s00mRDyoEYpuzMalmj1us5To78bteXzlp5zHe2fSnKN1GG5dTlbu6VbTxCrzrCxuR9jZzSSoVYeHSoIYxtOm3ZZ39ojhcBAP7xQW1zH/mHLU2XF/zlMP3XJ7W7LrL5yLft0B7P0isu9ns2thxHtwyRjEV380hOPfc4fvNK+4vpgSfUT2ziY40x1fEBNTfMR2b7/x4t43BUWbayFcclLhDJR/NrF1qbPgEfhdvNtggw9Rr1LKy0lk/ELKumoZeZryG024PX+Mct3Aa7anqD9RnyeFb/0hP6vWP6Q0fosb3kjWuJu5S/hpP+c0pCgnf71owz498Q2tYRwq77q4H/MUxRrlpUYDWE7qZa4NAbRVYy90esJydjV46+xKFfzOY+wnN441rvuCicQ6M+504YuPcabTY0OhAnU3b5/7IKU0XWE0effvLQl4d6X/uJM97S3Hs49z2vEefNK4x3HaFDGcm0RPvd32xh6VBDCCPbYUfL5RNZyVESefZy8qoVTSzTF66yf/JgzOi7bf9b24vGNIBi5wzdYjdH1A/tqiOEjy5rM7L9wDwnTP5HXnYcRlg9gOrGs4qk2aT9jZGE8+xn4VJHCKC+p4mVzX1kSRxjZfrBzdz/Pdejb4MJJ9Wri2S0+odNXhW2TbcB9EVx0BygASyDeZ16jRrxQCO2Zj2B/397Zx4fVXnv/+9ZZksy2RcSAoQIuCGgbOICqICg1Vt3r0pxK25YW6+t1qX351K119paabm1WFrrcl0r1SIitIrWhRaooAiIskhCyEaWyexnzvP740lOzpxtzjYz5yTP+w9eZDIzeeacOef7fLfPN6Onjnvqq9RLmj87giaWUWoGhgK4bgJ9vtLcJTlqyjKH9M2dwGioWxjtIwR1jzDCQb3ouL351bpV21+Y3Xj715GJxv4AAJhqqM/oEaodB3OT5rKHcw2hGqbbJxSH4GCWjLdnb6LdQdGXRHKNSqzLJdjOHSoDtfXgVe/h1Uk40/5OjYw22KiMuJ8Bmhr0UHuTWjdBAPDRcER081K8pG3R3ZbP0tJPqRc2fsvkFad2hA/2KcttD75QJTalRq+6IVQMjUr0aTN4hCq3xXgK+TSdteoAtEUB1EfDh7kMukUPT9cdlmepsFKe81AEDBhCjYZ64zlCDUOIL5BEKvGLf/7vnq59/3v2Yx+3V27eY6afWBLllqOUI1S4p2m/BOOoGUzgUok1kx5hTKEd2F4q/aAhNxpR2gtLOih2dqNjTfVOgE2DeU1MnwAAPytV45XQnUClBg++WG60R30qL0aSI1Q2hHb01KuNp882alZcj0doyPwrao2CemhUv+i2l1YV3NLpEWo8IZpCAZvOi5pH2BwxEBq12yOkjijGpVNQwEJruP2Wd+5ModSKs/9nRGG1oUlMYsx5hBlFt1U8QqI1ag1Pfx+hYTriUKGeY7CFCh+l5hGqaVQWe9JU1kw3EYIt8whNTZ8AXTlCw5EQsQvSm8wQGpXlCBVyTrYMoDDtNFtELTSacU6sUSUB1RyhylgDSWhUQ2vUy6j6SRnLeTKqrMkn85lGTWu0OYxG6i6W0Zg+YcIQlnghzCnsMCIcHAl/dtO6O+aPnXvPKbf7GC9ozszSxqghjKf6a9A0UDzjKZTZg88x7jOEPrOh0c4YVGbZGdcIjaopVxV75TlCk3/duui2hRxhBrnR7gSUGjz44nr9jMoygXSXVC66DQAFDEQsh0YzJkWyhJ+hokpHuCmcIflqaAAFAoiq7PFLfQqhUXxrFt8K1QxhXDM0qrhxEaPDI1ToqDOHWrHMoQjU6c5za02fMB4apQBKvQqTsELhd9bs/sU9p9x+6TH/ITyoMTNLG6OGUK4QIkfxOHQnoNiboQY4x7jPEJoOjXbEFIYR2kul+iSmviQqVIo4BT1UaKBpqTMO8ZSBEm0J1j3CqKkJ9Xr+dJdxAdUyHwgRnozFMpIFKNa/2aKyljEWlCXU5kjoCo3q/tThJARY5TuUfDAWKJkflqI4pHAJJFLIS1Nq5kFx4yImpx6hBxT7CA9FQL9HqJGnMDqGCSOJjiZTyZ998iQXfeumaT+bOmKy+JlqQeyMZMzUSjIg4UwJQujfnUsX021WTjl7DCNDqDiDyV5MeITi2bxfdJkvGQUAXya3TJu4+oChjGScxGRisFSZlxI8wt5MXUeBdIdJ8ZIusGMkYV/SZBrVImpzJA72ZfAIDQ2gCKn3Ryt6hHLzo1Usw6iah4yF+7n1CCl5aDSegj7OQG5Fo1jGRPsEpNfLtEc6bl3/4xgX7/M/WheskTwz6IFYSvksaKPDI0y7w+jxCP2MgoqC0/TVwJWG0EJoVD5Exl40BlCo3UDFOcIvus0nCMFysYzpuChkutuGOWBpA61smPTQaIZiGWn2gleuGnVxsYx6jjCTR6gcU1UklERBla26lwYPDeH0NUTSp/JC5mIZtarRDCqXOc4RRjiQHLKWKNQWGBh54JMNcxdI8MhrPCwoGMLP2r+48e075ow+5Sen3RFN+eTXLIVnZhmPjmY0hBKHXk8FteIZd9owQnBj+4TpTFhnHMkVt+2l0o/7CBVQC6mVeAe/slZKRsFyaNR0pQxk8giNzmDCpBXLaI6nB5mdUCy+sGUSkzldcusElBKcPQmgIUPRgaGAsLZiVqWfao+iQpF0TlRWcO9RCdgkBxrqlUOjmWxDRkMYS9m2QaEp8DPSE90SpWoDBsIJGgr4SQuh0Te/emflp8/eNet7p4ycAep+MI6OGp0kk1F0W9KTqudaULwpdSfM3BCyivsMoYcCpQB+BqIc8CjrZQ4FLNCUss3rSyLFvx70UKGBKMYXXWhhvXkfHY+CMzmYw9otXtsGm+sZKvNR+/sQACCAPs6YR6i4t9UY6acfK32EVgiwVEzman3Th0ZlmoRgqFhGTWgUM6YIDvRBg0h9Tz7A0qPiEeKtiY9RHh0Ty+TPVQeo9pjycFpMhLMz8VHokcpfHIpIx65po7FfN6R4J1DmTW74aiWf/OLXCx4dXVyPHwwnlTevipU1GcnoEXpo4BGkEOAoQEjlniZGMZPltCZCcGlo1IRH2GF8f2QONacwnATFxLK4j/CLbjjOghAtBeCxMJIwe6FREyWjIAqN9iXBz4C2OJZCsUy2+gjzVywjO8IZS0ZBVk+rTZ9mUXtDUf/WRECpWCaDsoyKR5ghR+iloYDV6gpQnMNgmiKZ7vahKKW/iRA0E/YmPMLOaNe+w/eFk32/W/RLwQrCQB+hnDKlhG5G9Cjxig282j1N8nwFjzAOhmSVcoD7DKGPoRLGS0I6Yznag6ilCdVuoEKOsCcBvYnMG3xtjOppiTEtNAqyLLqE7gQy8b0XGtcyxkVBKTSq5BFi3WpLqO3Bs41ihPNQJHNnm2JMVY1QQqsOcGwQJMOAFItlFFP4SQQeSjWNrcdJ0q6XyaiKYog/EQjhAAAgAElEQVSgrIPicBRGBFSerYTaJ0UAnEFD+EXH7hve/q9RpdNqK34YYNPcXrXMaIWf6lTJ0WgQy1Q1CukBBj2bQsXjYEJeI9u4zxCaExLrjGe9UgajVjiqpk5b7IXeJAKAL7rRsaUGsvGKWGkltBga1Yi/dSfATI7QR3UnEOBu+kx21M+AuCQklkJZyhFqi25nD8UjrM8jTFNh1SaDRxik9qfPBo+mpMUyHjqz1qgcPYaw0g/t6vqFNlaNgpK4zJ4Q3WhkIovaJzXqDr6z7727Nz5027Slp4y+5Eg87VDjMm9Fy1Xp0zpWaujxCP0ioYCMitvQ7xFKvxBOExoFNxpCcw31nbHchUYVWwnVPUIKN9TvtCC3LaDomd32cWq/0lRPCVaKZbTjb+aKxASPUE/rRYChJJoXftkdwrrWKMprsYzcI8zYRAgGP7WarAxmrGw8rJH2Ca0+Qj234ELNfYyNVaMgM4QJHv7RCnP0Te3GeGngEMglsPR306dQ6ql/P/Onz1/61byHTx91slxlTS0uCgBVAdWqPQ0ydnNCeg5Cj7gEaZ/IFub6CDtiWddXw6h5hGFOOehU6IEoBykEX3RZKhnFKN5o3jqI9vRmfq2VHKF2sUx3wkxKQBDIyKivJl+AmsSaRY8wxoE3U7YySyhmYXUZQoNVo5o5QtifPoBCIUeoPphXo49Qj0cYYLTaQOW+qRUks3k/akUTSgwX4yg6hTr11Xrivf/1t5/s6znw1MLHx5SMAiXd7QiH1Gx/Nj3Cwe9hn+ZsToziQTBXRp5VhoshzFlodGASkxS1MAIFUOSBUNJqEyFG8UbTFkWKir0Sshca7TL1vRcEMnoz6asBgJ+FeGqw9yuuoixj0RDq6SDOEortgF/1gsb4Q4zBqlGtHGF9IdUaReKrz1hDPa3aZq44P1KC9j7Gfo9Q9LfebuLnjTB801H8sHoM4Z6uvUvX3n5sxYSH59xX6Okv0ZEbwigHaiGcqoDWGBw1dBlCUexHj0eoeBCIR2gDaleaNh2xDHN87KLSD51KtW0aZffFHiqURF90wfFmVUYF5PuvWAp6k8pyyRLCFjRTtHv5u0xVSxeywPEQT+kKjVLpZRqKpRMBxmqxjPZ4+qwid+wiHByKoHHFmUOjhpRlNDxClobaAuqgqHBUXmClJrGGfT6vihR1xoZ6yNT9ErG3ajQ9NPr2QTS/zvA3R7G+PZFCXk3PdcP+jT/8+3/fMvW6G05cQotqBsplwmka1W2VfqrdeGhUz9hqcSeo6YZ6B7ZPuK+P0Fw9yJE4TKvKwmpkqIdGVZ2JYi80h6EjhsZYKxkFpRAlvh70NBVFLJQbBFgqqhgRAwBT+moYLOulNiFPugYGIlx/hC2eUth3Ww+N5qt3ApRSfV90owklVMZwoOGGes1D3RiEfSE4asANjcp8CMV9KhooEvEzynuyjO0TkOn02Vs1Kh5AcSiCmsJoWoVhuzKgRJ92hjSKZVIo9fSnz71/8ONfzvvp2JLRkt+W+aAnCTwaVILVsP1VmoNR1VDUY5KQFhrVJ7rtitCo+wyh2Rwhqsh4qdlBhY/qiCmsL8wpi24DQLEH/tmOji6lrMuxy3OEbVEAgCM6tocRC+JhGUKjCVRm6uBjoeeeBNJjR8VZNMVL2npDfb5KRgH6NWDFt9EdXWiijuoqP0NFU3ovGO0cIQy2Evb/3ahMYk3RECZ5YGmg1Gcy6AnKZQiN2lw1SvUNBA/eaULzRtIm8o+GcoS98dD/+8f/sDT724U/D3qL5E9gKChioUcUVNQoljHnEcY45M90B/CLrrJwEhVlKoGVHwQE0JMkfYSWMac1mgPFbYyqR6jefBr0wCdtNiQIQSlEiQ2hHo8wnLTQUK9dLGO2f7bUB10JPHpC1x1fqJiNcYqi21Y9wnyVjGIkTuHnR3QZQkMN9aEkKtK8FTYEKXEFsvxerGgIEwMOuqViGU3N9KiOm7h+xKHRt5vQwnoz76zfECJAN66749jKCY/O/YmiFcRICkcj6mnRSh90xRVqVrUx3D6hxyOUieo1hVGV36S4f/Zw2HJ04KVVJ15qkAPFbYxqjlArNEptarOhdwKU2ifaYqiQ1ZUjND2eHjJVjZrOjZd5oTuuq48Q0r1SNdFtGzzCPBrCdJP2eRc6Xo8htE9iDfp76gd/lJeoKFaN4tEToJ7XyDiPEDLNVZaLvVlBCI2mEGxo5s82JXyoKKyq2D5BAfWreT/97uTFtGYjsaReJqre78TSUOQxrLJmtGo0rCNH6Gelt+vtR2BSubPiouBGQ+hjzIZGc1Iso1Y1qvGlKfbA3hCyIq4mIL/RtEVhQom0A0kRa8oy2h6hyZRAmY/qSqBefSlGsZ1Q0xq1miPMk6wMRlI4+nkXTNRRXWW4fULzUEtU1uQBSWWPcCAFqDGhPnNoVFMix/6Geg4A4J/tqL6QqjUiriagaPXVcoRVBZUZ31BiCLWT+lXqAwAUSfJAq7TnizGcI5Sd8e1H0Al2bPrtxX2G0ESOMMpBNGWyXsMoARZYKm3oPEbTIwQAsN5ECEoGqS2Kji6ldFWNcian8oLm3ZbjIZLS5dLJwXKjPTok1iD9syuG2rRja3qw4jRbR3yQuxPQk0BjgroOi7GGes1bm0RlTWf7RCKFPDQFWh5hZnEvjX0MxwMCMyMd1BBm8759kF84ynzi3Fz7hBrl/rQdrbYTXOmHds15HRL0OOVg3COUn/HPjqBJFcQQWgbPWNBPkocr3k1dNNZ6JYpeKpWE/jSmOQc94GfgqEx18HqQFyO0x+CYEkpX1ah6OU9GNLRGe5JQ7DE5EKPUC126Q6NCDDDBA0spjFnXjq3pIc+hUZFJ29GFjivTJchnqH2ij0NBze9AbQHVFR98Q3nhoqLotig0qvw90eMRarSB2usOgmg279tN5gfCWGmoV0TqEWoawio/1WFkTr2euChIPcLM5XUeGlLpCjvbjyASGrUBCoCm9NrCFILvbEzFefTH2bZeKJpU+qFD5oH1qUyoB4CghzpaRx28HuTFCK1RdEwp6AmNZklZ5kjM/BjIMh/VnUA6uy+ENajtbX0MJHnDFQRi8msIxQf58y698aWAEalxbYk1AKApGFVEHRiIjkZT0lhxhtCoSqWbHndEUWSufxm2dtMDQCELYQ46YvBlDzqlxuS316fUNKlfYk1OuS+t/kDbEBr3CHVJ8/jSlGV0jSQTbwjiKdgXskFCy3bcZwgBwKcvOsrxcMW7qb4kWj2fNTEAzDTyARQcDymkeqmX+0BP1YMe5Pn59hg0Bql4KvPWwWKOUO0m1ZM0H5QuEzxCHdebf+COr+ZeUAbjhHKsyLFaRxwa3aGvUgaMFMvEUsBSmQOMY4sG62XkLdhqVaOegRyh4oYpoaOPsNCjGtmOppBcWtYKQQ+EkrC+mZ9TS5t24BR3hwm+P0psAklPvbaqXJXSdlwDnVMS/Uy/hju+A+s5OOLjsLMbNQYp04c0ezhvRTrQ00GRQrBkYyqURK+exeb4uMtHEmp7ElccRf9qlj2GWl6j1RaF6kB/jFEbK70BLK3qpptT3MaU9bdPoGIdtTZCDDCunnCyqLJmRXzHOmKTprN3AjT3KBIyuoMYcQeFvH1CrWoU32TV5rZnnI0OmjlCe4cRwkD7hOnGCYxasYyNoVENP7jST7WrT62Soz80is+gngQhRlwv48y4KLjVEGaaxMQjuGZjqiOG/jwvp74gptIPnekeobY6bYC1rcdRUVmm2k+VyaTr5VjxCBX/NKY7YV5FotRLdcZQRHM2kHwBGpe0xZGEVuqJrCMOcursnQDNPYqEUDJDghAjnkGhVCxDJWXRZyEeqDqGSYdHiJWDFInaKisDAEUsFUqid5p4S4bQrNaoGuU+0F8soy0uI79UjeYI9SQIMeIQ8WdH0AnEENqFl84wm/dPe/ivetHq+ayeU2s7FbI0tR51WluQXHs9CfDQEGCh3Je5qShsLe6n5nlY9Ai/CUORvlobYQEaQR6LHRR5VJYBkUfYFgUegf6afp3RUZ0pH/EMCv3tE96BHKGlPkKVT5ENj7AnAaU+qkFHXa4afiUpA2s5QkrqEaq/lYa4zK5uNH21dGV6nHIQfSid3xZIP+nEI7STjK2EL+/jb5tI27tJ1E+lLEeoZ4KlLUiuvfYYqg5QMNCHoI1F2ZQAq1wQaG4GE6bMC03hzKMnBhaQ2SPU8Cr0kF9lGf9AjvDzLjTRyN1EZythxm56TEOaR4gC6Zsn1apRTUMY15Hk0wqN2u0RemjwMWDFHYRseYSDP2pIrIGmR7i/Dw70SU+SUY8wrF79J0FcX7P9CJpUrutVOcaVhlC7lbArDh+1onNH5e2jyUOjOfMkJMUIbVGo8gMAlHkzhEZ5ZFW2WC002hVHZRaqRjleV6UMiAphNNwLi3KjFp1miwhlk/rjohi/vrEbGYVGMWPFOUKjfYS0avuEDo9QvVjGbo8QAIpYMN04gTHUUK8HmcSa1rex0q86krApjELJtPEaYCI0qjtfLpSyt0UhwUPGCZp5wZ2GULNY5o1v+DPr6NyEIhVRLJbRuXuyiKQYoW3AIyzP5BHiMQJWvqFqBZlWPMJiLzCU3mb8ANtfz6Y4jHDgOZaLZfIrsZYCwB6hEUOoONRXjvYwQoHqAIS5/tuoXNxEtX0CF8uwqqHRzH2EWjlCqWNqnQenMXNrrXmESk2TVjxCHNcR3lG7aaRKPTTaFEYAcCiS9tuYvspbEx6hl+4/6Z91OTRBCG41hJoe4av7+IvH5vNwjyqEL3vT+tX6kuZ71Q0hCY22RaEae4SZcoTWg35q4s5WDCEFUOLV233hH6waVc12WCyWybOyzIDEms65E6IX6s0R6vEIqQGhNWzwJP6NqtaousQaj4BHmf0kPwsJlTbQbHiENx1LW6yzU1QYt5Ij9NLgZwZVq7Sr24o8wCPlrUNTGACgJZL2oE6PULDu+u9pwu7csQlCcKshVPcIexLwfgv61uh8fq7xJVRdAbzTPHjJ5swj9NFUXHSrwL0TAJCxatS6iqZaaLRHx3x5Dcp8lB59NUgLjaqOO7eYI8y76HaUA2SkiVD8wox0J3QZQgBoCML+EERTCjW0FAAjs4XC3R/LQkm+iDF9toFSt+i25whtQUVZBnktiFyV+ShhpFrGWcRqcqNNYVTqhRapR6hXYi1uPEeIX+JMlVGMOw2hukf412/4ObW0zqxS9rj+aPrp3YNL1B9Pt4jUI4yhar+u0GgkZfUWrxoaNTuDCVOm2yMM6PIIpYtcc9CAg2hFfMc62Awc7EOFLGVowLdOGYEPW9G0Sl33KdxBoRaaY2XdGoJHSAF4aOkuVo++GkatXsZ2ZRlbUFQPsJIjhPR6Ge1iGVBPEzaFYVoV1ZKuO5O9HKHQPvEZ8QjtRQg6y3l1H8pvXBTzn0fRfz/Etw581XLoEaaFntpjAx5hpoZ6i02EMDiPW4rp8fSYUp+BYplBiTWV77XkTrrmIPrWOu6jVr220MrsYuvg/pAd+oZOiNEjN8rx8LdDeucNNQSp/X1IXjKK8dDSwlFxYkxuHjTOlwQ12XTbtUZtQTEhaiU0CumGULuhHtQLR5vCaHolJfcIs1c1Gk9BCsHObmPVzrnEnYaQoRJKuYJQEt5t4c8fk/8PFfTAhQ30M3v6jVLOcoQS0e22KKry4/YJqiuhHRq1aggVu6bAmsQaAJR5KT2yMiDqLlAcRogRh0Y5Hn64KXV2PbVyt45ucwBwQGg0ljJcMgr65EY/aUNjg1RNQNcbNhT1h0YVzY+8XkZ895ebh3hK70xdNY8wpmKS84vt7ROQXjiqMY8Qo9hKGEpCCsFxZZQkR6jTLxd5hHrvaXjr82UPqiug8nj5aJN/m2ECNa3RNd/wp9ZQVgJxNvLdo+mnd/eb65zdQCX5eSFHWO6DI+oyE2BHGYha/M1ijrDCr7cfX3BJY5yu9omndvEjC+HZuexfDvA9OqZz8AgS6kHXHIBDo0abCEFfaHRdswEVFe3QqIIhTPMI09LYoE9WBqM2P8SZHqHt0ydA4hEq5WjFVAUUPMKmMBpZQNUWyD3CbFWN4mIZJ8dFwaWGUK1Y5tX96KKxTvlEM6spPwMbWxAY0eWziKRipU3cUK/pEVqXk1aMv3E8xFKWPvsDU5mrx+s6p4NVoxoe4UBsrTsBD/479fhMpsoP80fSL3yd2SkMcxBgLXWYWAQ7dkZLRkG9oFfM2weR/jnsODSqVqzB0hSXburSDKHMPOgMyoHbcoSKs8kE/XFzCIYQaebCMZU+BY+wOQz1hVBbIKsa1acs4xsQ3TaqLOPkklFwqyFU8ggjHPytmf+2A+KiAkLJjMYMJnsR32VSCLriUOkDkIkzybHusypWjXYnoMTsMEJMlV/v9SYsQD4SQUDoSX/o36n/GEPjK/P6o+mndmY2hPmVlQEAPwNhDnZ2G55ik9Ej7IjBV71oVrXet63wAcdDSxQphtPl4jKJFPIOeBvyBL/OuQegXjVqPcOdDRT368JoRnMIAyjwl1z7hCl6hN+E0egiqjZAyfoIjYlu61fLGjCE4ExNGYyDzIZ+FA3hWwf5GVXGqumyzeJx9FsH+SPx3E0tEG9CO2NQ4gWWxo8DTWl1Dli/lSgawt6krsERtiA0CSR41ekT2KXYG0LP7OHvn9p/3Z9VR/UmYUtHhixafmVlACDAwo4uVBOgdDY5CGScSPx2E39mHW3IUxkbpHZ2g2IwTV4XKvYI/bLufv2GUE1cRr9PmUsUrwgr0ydA5BFm7J0AgEqfQtXooTDUFUCZD+J82rfCeLGMLvkFGDCETu6mB7caQqWt1iv70MWOiYtiynxwzij6ua/4Pg4V5eQeKvYIW6OoJjD4R8u8acPMJNjgEQ4Iu4ix2DthbAE6pk8EWIim4Ef/5H8wkRkxUBhCU3BderuLIvmVlQGAAAMdMTBxN9EYm4wxMW+oIUjt7FbxCDNVjUp2sdZDo870CLNTLCMYwszbsqqAQmj0YBiNKqIAYESAahHNadJrCFmIpwAZCo3SVFsMdcRQowUF82zjLMuhE7lHGOXgnSb+2w2O+zjfPZpeuYvPoUc4eMvriPcLjWK0xWUylmJnRDFsZbFk1NgC2MzTJwpZ+MdhtLkd/WBi2lflmgnUy3v5sKbblF9ZGYD+E3R8qfEXDkjSKMIjWN/Mn23QEI4NwhddSPE749WsGvXJrLIRj1ClatTuwby24GMUp08MRolNIFSN6tEQqFRqn2gOo5EFFIA0TajTEAqdoPq3zn4WNrej48soC0ICWceY5UDIvDyVjcjTDG838SdVUlU2TfWzkdm1VJKHT4+g3DgTHhp4BPimJ/ROYCTS9RKsd8gpuh0WS0YNLmCgalTLI6QO9KGHp0snk9QVUKeNoF/eq+UU5rd3AqA/FGa0dwIyKcts7USVPmp0kUGPsIj6sgepFMtoVY3Khcc0BilLUBMGcmbVqOIUYrsa6rWHEWKqlGbzNoWhvhAAoC69cFT/ZgJf6QYa6mn4d6ejK2VAvyH84x//OHHixIKCgrKyshtvvDEe77+nXn755UcNsGjRoqytMw0vA5I+wjUH0QXOcwcBgAK47mg6msN7qE+k9V4tagsr82UIjVrPEcrvtha76Q0huKQaHsbIAlgwkvrPoxS+Kth313j/MKccCcwZuFXOREuyttbo2wfRwlGG33NsUHVciUddYg3Sx7RihmrVaFbbJ/REg8t90JMESSygKYzw/AdzHiEMGEKjY5iGiCGkKOrpp5/u7e3dsWPHRx999LOf/Qw/fujQoTvvvHP9+vXr169fuXJl1taZho+hJDnCze1oZpVDD/SS8bSXhpzVjAiemdA7gdEWl7FHdFteNeqwHOEJ5dS6Rcqe76JR1MEw7OhS3StEOMijrAwAFLDgpeGYEuM5Qk2PcF0zb2LeEJ5Yq7ehXrN9wkgfoXKM15keoe3TJ0ASGs30kRkKSr3pIww5iKSgwg8AUCv1CPUGqPHnMtBQzwAAOFZlFKP35rdkyRL8n7q6ugsuuGD79u3Cr2pqahobG+1fmjqSHGEsBXt6nVuSVB2ATy9kcxa29TEQSyEAqi0KJ1YMPl6WITSalarRXOYIcX1skjeQcxLDUHDNBGrlbv6Jk5VfnPfQaCELn17ImvhoGhJr3QnY3olOH2H42mkoomDASZWg0D6RXiwjCRhqCCBIKGCVxTOd6RHaPn0CAAIsUBREOL2Nv1hcRkiR4G56/ENtAHZ3Dz4zpt50JMGwR0gDwFDxCAU4jlu7du2pp54qPHLjjTfW1NSceeaZH3/8sfZru0QkEjrEPFSQbDm3daKjSygH1k8LGG38soLgLktCo+WaKmt29BEq7H+746g0V64wDNx6TJdOXH80/cJXvJrNyFnFkwbmvkgag3nXN/OnjzBz7ZR4ocynvHlSyBGKKkQUG+p1mjG1ZKdDq0azEBqFAadQ50eWyI0eDMOowv7/yz1CnWfBz0BfEnik34OE0UWUTn2ofGH46/PjH/8YAJYtW4Z/fOCBB8aPH8+y7KpVqxYuXLhjx476+nr5qxBCsVhM7DguWbLkoYceEn6MRCIcx9G0vu8Ix/TFqL6+fk3rTw4xE4upvj5NDbFhg5fydobilRQ6HPYEUaqvr/+eVABMU9/gQZMQinuoZP+Tw+EwRRm/4SbpvjgjOQudEfaoAtTXZ2EqvBH8tLejNxxOsHwiIXxw/ZQDjA961u2LnDVC4bVdEZblc/dZAAAhFI1GrVeoUUm6LyE9NZi/7mPnViFz186YQi/NxeUHhEGe3nDa8Y8mPal4/yMMz/ZE0g5jKMYCp+vAMimmO6rwHY5y3lQs3qc4q9AmIpFIMplkGGNbBg75ekN94mrJOOdNxuJ9feaXWurxNnXFu8M0i1Qv58Ens56DXYm+ov5z8fURutrX/00oAao57Onr68O/6j+GOhbmAc/BrkQBwwqv1aaMomdX0Tben43eoPx+P8tmsHTGDOGDDz64du3a9957z+Pp3xvPnTsX/+fHP/7xq6++un79+muuuUb+Qoqi/H5/V1eX2jvTNO33+3UawmCARwwqKuqPNu7oS82spYQfhzkFHo7xFRQVUZ1JbnS5t2igGnBEkN/SjdSOUhxxFcH+JyOEioqKjP7dsjBKQqqoKG3jF0Gp6iBVVJSjOqYAy9G+Ag5SpYWDH9wQo4tTEcqjuGCOTpUV5O6zAABCiKbpwsLCzE/VpCyMEkh6ajB/b+XuncqYO1bjSlLlRaz8gPg8KY8v7RimKK5k4IwU+VPAph1GxKSKA7oObFkBz9EK3+EYn6wsLsxqdJSmaZ/PZ9QQeumkJ1AkXhgHXGlRgbkDjqkMcDGmIMWgYr/q5SxQW5QKweC56EzxDSUIfxOOYqE1lhSu9ATPlRcXFBVmXlihl4vQniIvr/MuMbcI5o7R80S9mLtBaWPgqv7FL37x3HPPrV+/vrKyUvEJPM+b8SSMI8kRbu1AJ+mbozYcGCyWifYPI8SUa1eNWp8+odhHmMP2CRgo2MmowahBiQd6k8q/yu8wQiso1jEBwOddyMfAeOPVN5jHZ9IXKCkaak+fUCiWsdZHqEd1M1/IOygs5ghhIDSacRghRtJKKJSM4l+FkoM3UkPtEx2xHGlG5gy9n+bXv/71Aw888Oyzzx46dOjQoUNFRUVHH310R0fHW2+9dfrppzMMs2rVqv379y9YsCCry8WIlWUSPOzsRpOdnYnNJb7+PBnEUlAq8gG0G+pt0RqVZ0S64lCWw2EgeBNgRXCr2Au9KkcpZ8rptqPWPrH2oGFBGTFqrYcZimWU2idqdGqNslSUk0atca2NM69/r+yisDihHgY6KHRuy6r81H5RtPNgGOaP7P8/BVDtpw5HED6PUd1XjY+hOmPIpdeCGnpvfocOHZo+ffqTTz6JfzzuuON+9atfURT1yiuv/Pd//zcATJo06W9/+1tdXV22VipCXHj2+RHUGKRculXPBnj6V3sMVfrT3HPtqlGdG0wNFAsZepNQnENDiNegvxxfTrGH6k0q+83OrMjQg2KLJwB8cBgtGW+/Bck0hgmOpPvchjxCufqPM3snMAMVZIMH2WJDPQwYwhiHgjpiLZV++Ff74I/NYTSycPDP1xVCSwRGFwHonkcIAH4GOuN5rqC2Hb2f5uGHH5Y/WFFR8eabb9q6Hl14aCrJ919qWzrQVBIXFeFnqXgKtUalQ1YzhUatjg5WmT6R06pRvAmIcXoHvcoJeqA9pPyrvny3T5gmwCoU9ALAoQganYWUZ8bQqGmt0YCSRY86ciovxidTRTbX2yMGK2NE9bnRVX6qPTZ4uA+G0ShRFrC2X26USiHgkV4LjQ3hEPMInajGkhFxaHRrJ0kQpoGNQVsUqtPz6GVe6E6AmiW0Q1lG4W7bk8hdQz0MJMOshkZVcoTWVejyhVrXQXsMstHeysqUZeLaDfXWcoRO9gjlTZMJmzxCneLA4vaJeAp6EmlnvLYADoUBDI7v8LPQEdM7esItuNMQioplthKPMB2cn2+LpsnKAABLQ4CBkNJdPskDAqvtTfJiGewgWtz/GlwDFU0hK6HREo0coXs9QpUcYXtM+iWxBWWPUGQIY7LviX6JNfkHcWY3PUYSJkEAnE2GUI/WKABU+gclCJojqK4gTfm6tqB/AIUxQ8hAZ8yt14IabjWEeFPJ8bCji1TKpOFnIcZBW0zqEQKuN5ONZQGbRs7iYhnxu+dSaBSDR7FbiT4Ve6geFdkB64W1+QJLsUu8tFASKMjKJ1LKEQ421FsR3VacR+hojzD9w+IEocW7lcGG+sFJTILctoAgN2oom9BfNUpCo3lHSDN80Y1GFVFD7JRYBIdGO2Ko0i/9ZqsVjtpSBkJT4EmfCpLj3gkA8DPQmwSWAtN1eSVaoVG3GkJQ6qDoiKUNJ7ERDwWSeqNkerGMdAyTAa1RpdCoezxC65UyAFDug4i9gVQAACAASURBVM4YRFMooGP3EGCBpaAvCdBfKZP2EmEARSxlIIjiZ6AznqNxOjnDlYZQyBFu6UDTSFw0HRwabY2CpFgGAMq8yoWjYZuyX5LNfnduE4QAEGCgK24pGBv0aIVG3bvlkpcyKX5DbEEhRyjy0X0MJRkdY6BYhoVYSprndrJHKGmfiFtuIgRRjlDntqxywCkU66thBj1C3fpqAOBjqAgHJEeYf4Qc4dYOdGLFkDof1sHjQBXTP+V+5cJRu3wdSZow96FRPwM9CWRFdbbYC2rtE3ZtF/KCfDZvewxlSQje8PQJ3aFsSmnarZOrRv3pTZNJy0KjYDA0CqJ6GWEkr0BtAXUoYiZHCEByhA5AMISkd0KOj6HiPJIobmPUJjHZpZkSYKmYKIWT494JAPAz0J0AnQknRUq8lEZDvatDo5LC0bYoZKNSBgBYmuJEPh/HAy0KVlsplgGAAgYi6S93skcosfrWu+kBIOiBJA9dcb0+nFAvI88RVvuhKw4cb+wU4F2Le6MjirjSEGJxihSCz7rQFOIRpoMLRhQr49V66u3yCCXVib0JKM7t1RJgqe6E+d4JAChgIc5LI3sAwPGQ0i2370DkhaMdMajMiUcoSYwpFcsYCBjK62WiuucH5Z5s5AgBoMwHhyJIp/kX6mWaI9IcIU1BpZ9qjSJD9WUB4hE6BHyl7epGtQVUjoNvzsdLD7RPyEoh1CYxhZP2BP0km/3uRJrGWw7wM9CdQFbMFYXThLJ6mUjK3Vc+riUW05ad3gmQSaxJamGUxzDpvwvL6mWsiyJlD0kfofVueky5j4pwoGceIQBUBfpDowf7pDlCwGnCqDGvmniETgG3T5C4qCJ+Btqi4KEVIidlPuXQaISzZ9KeZABsXqpGu+NW/YNiD9Ur2y44YRihFeQeoVxywS4kHqFEZlreY66/fQJwK6E0R+jcqlFZaNQej7DcB6C79aXST3XEEMdDRwyNKJAe59oCaIkgo+0TAKRYxgHg9ol/d6KTSFxUhp+Bb/qUN/tqVaORFBTYsVH1Sw0hlOTWeOAcoVVDqNRBEdY3ENyxyHOE7dlrn5AYwvTEmKJHqN9PkndQODxHKAmNWi+WAYByHwX6DaEP2mNwKIJqApR8v1FXQLVEjBbLUEBCo07AQ0MKwWYyfUkJHwMHw8qbfTW5UbvKQCR329yHRgOs1dAoABQrdVC4V1YGo1Q1qlBOZQuS9gnJTHYfAxIpPv1yz6BoCB1dNZruEdrRPgEA5T5gab3OZVUA2mMKlTIY3EFhomqUhEYdgYcmvRPKBBhoiaAqRY9QpaHeriyLRG40D8Uy/VWjlt6kxAs98hyh2w2h3COMZrFYJqFVLEPJJhMZ8JMUimUsSMtmG5+sfcKu0Kh+J7jSR3XEkLxSBlNbQLVEjBXLkPYJB+GloTpAlefW4XAFPoZKIWWPUK1qNJy0J+4nudvmIUfIUlEOfNYq1Iu9yjlCx1Zk6EGeI8xqaJTTyBHK0maGlICUPELn5gglyQJDJl+Dcp+BwXMZPMIAHIoYVJZhAQDc21OriIsNIdGUUQTv7BRFQ9RCo3YVy0gu+64ElOW8ahTA6m2xWKlqNMxZHVOVXySnpjcJHjpbpj1D1Wh6sYyhBCEoWXSd8tN5wZvuHMdT9hjCMp/eklEAqPJTHTEknk0vBnuEUUPKMjQAQJCERp2AlwGSIFQEGwPFzX6xB8KcQpNcmMtasUzOlWXA8ryLoZkjTHfW26LZcgchU9UoSwNCIMQLDSUIwW3FMrI+wkHxcStUGAmNlvmgLwn7Quo5wqixwl0/Ayzt4p5aRVxrCGmKlIwqgr+ginUQNAXFHpUEWBY8wtyHRvHdwXLVKBWSqay5PUcoUb/LXqUMKFSNSt0gcXQ0ZuQWDG4rlpHHge0JjfoNhEYpgDIffNqp7BGOCFDtURQ2IkrgZ919LSjiVkN483H0rBqHfvvzi4ZHCCqTmGxTlkl3O0LJ3CvLAFgerFjihR65R+jyHGEBS0VF8cr2KMpSpQwAeGgqyWtViIg3TNY9QitzmLNNlpRlJpVTV08w8EZVfmp/CI0sUPgVS0OZD5rDBo5htZ+64wSnHnGzuNUQ/mgSneObrFvQyBGCSuGoXXLSPnqwarQvCV7dFd52YUuOUFFZxu2hUckduS0GcuEhu5C0T8grEsWZM6NiK35ZH4iTx2PJp0/YElEcEYBbjjNwaVX6gaKgTskjBIARAWpvyIBUvY+Be090q+FQY6h9HoK/PzSq/KVX1N220SMU7ra5j4vCQKuv6fH0GMUcYcT9xTLpOcJchkalStPipgKj/pzbcoRp7RN2KcsYpcpP1QRUIyV1hbDPiCEckhBDONTwMxRNQYVKuWa5nzoiKxzNhuh2TzLXlTIw4AtamT4BACVehSH1dg3oyBcFbFqOUHFus11IBvMqhkYFq2zUSSokoVHjVPlhpExcTaA2QHXEnHsMcwMxhEONEi/8aBLNqpxYRY/Qrru8WNk59yWjMOANZ0NibSgUy4jsh+JwErvQVpYBXEIihEZ1j6fHuKuPUFIsY5fEmlEq/aBYKYOpLQCwfNW4Had+gwhmYSh4ZLrql1oxR2jXXV5cmpgXQ+hj+me3WmHItk+IYnRtUVQdyNYtWbt9AtKFx4x6hErTJ1DAjp6EbCBpmrSratQojcG08iUJtQUUAOgX3R6SuPniJhinzEe1RORxP3uKZcQ3uO54rqfywsAEczs8wqE3fYKSFctk629lLpZhIDGwmCiH/EbMWIChoumdsE4ulvFJi2WQLVqjRtEuMSUeIZDQ6HCjXGkSk123EnFFX3cCSvMxKjLAWvcIFYbU27VXyBd5LZaRhUbp9PYJI9+9AlY6od7JOUKl6ROO+xbVYY/QqccwNxBDOLyQ5wiRfVmWQL5zhADgt+wRFnoUhtS7vVhGXNCLADrjuSuWkRtCv7UcodiiJ3mgANQy4nnHL8sR5qVYRhviEQIxhMONcp+0ajTGgYcGW5Is4hq5vLRPAECAoSx6hHhIfSi9XsbtxTJirYOeBPjoLN745KFRSTzQxvYJJ/dOgGz6RL5yhNrUFlAUMYT5XgAhp8iLZSI2zWCC9PaJ3iQU5yk0aijnpEixR9pB4eRElB7Ep6Y9qjylyy4koVGORx5pH2FaaNRQ2kxqCB1cMgqy0Khd8wjtxUtDhZ8YQsJwokyWI4zYl/1K9wjzFhq1Lt4h76Bwf9XooMRaVnsnQCaxFlcMjZqXWEubR+hkoVGQD+Z1pEcIAG8uYEcVOfcw5gBHnhZC1ijzSkOjNqpoiisyuhMoL8UylzXS44utXtIlXmkHhV0jG/OFuLOlLYbUhIdsQaF9Ql1022j7hLtCo14aOATCrsCZOUIAOLmacvGX2w7cvMslGKfIAxyflpixa/QEAPjZQa3R7gTkvn0CAH44yYY7jVxuNMxBkbvbJwad9bZoFnsnQKmh3ifNEaZNnzDk0uEPggDwaxweGoUBYVV8uTnWIySQ0zLsKPNBt8jdORSxLegnvtv2JvKTI7QFicoa9m+cuZfXiY+BJN/vmnRkOzQqqxr1yNon4mZFt2kKPPRgcbLDPUJIzxc4M0dIAGIIhyFlosLRHV1o6T+470+052sgDo32JKDEtS6UZEi92xOEGKFepi2W02KZhMzUiUtIYinDIuli3VTne4Ri91euP05wCMQQDjuEnvrdPWjh26nHZjAXNtjzNfAxgxmRrjgq87n1mpeorLk9QYgRXJNsh0YZGlI8CD6hktYolRgIocd5w/WKAVG9jJP11TBeerCDgniEjoUYwmEH7qnf04PmvZV6ZDp95Tg7vwN4s88jCHMQdK1HGEwfUh+2L42aR/wDhaPtWS6WoQZsISbDhHrOcJWvuKfe+R6hnxV7hCRH6FDIaRl2lPmof7bzZ72V+uk0+ipbrSAMpAl7k1DkAfcGgUrSQ6Nu76bHBEQeYVZzhJAeHZW7QWkSa8Y9wgJmUGXN+TlCcULUsVWjBPdf3wSDlPvgp5/yT5/OfGe8/Rcl7ldLISh28xjbEi/0iEOjLu+mxwiNBx0xqMy2IaQgiQCrmSZ45KXTvmlpEmvGh7aLOyhc4BGKi2WIR+hUnP0lImSB+SPpaVXUYrt9QQy+7MMclKpMBnYFxel9hEPDI8SlTAigI4aqsiY0isngETKDZZ+xFPIxxr6KaYbQ+R6h6MOSHKFjcf/1TTDIt0ZTA11Y9oMNYb5GT9hF0EP1igof+5LuHj2BwaemKw4Flgd0ZETcSqiYI0yIPELjxTJuyhGKPyzxCB0LOS0EO8F3254Eyou+ml1IqkZt1BzII3gARbYrZTCsSGUtQ7GMcUNY4KqqUR8JjboBcloIdoLjbz0JyMvoCbso8Q7JPkIqmkI5qJQBAI/YI1QolhlUIBoGOcLB9glSLONYnP0lIrgN7Hb0uDw0WuwFsbLM0CiWwRHFdpT1BCFIcoRy0W02zSM0aggDjMtyhIPtEynkdbb/Omxx//VNcBJCjtDloVEqvaF+KHiEWHe7J5HF2fQCrEhlTXFCfdxCjlA8pN75HqH4w5LQqGMhp4VgJ36GiqZQvqby2oVkSH2EQ4Vu7gbBBFiIcVmfwYTJEBpNzxGakVhzj0dI2idcATktBDsJ9BfLuNsjpACK2MEh9WEOCpx9t9UD1hptz37vBEhDo1KBzfQxTMhvsCJXPFvRBR5hWmiUtE84FGIICXbiZyHGuVtxG1PspXoHontDpmo0ykFbNCehUc0coURZxrBHKFaWcfZgXkg3hBwixTIOhZwWgp3gRFR3ApW6VnEbI57NOzSqRnHUOmceoUZoVFIsYyZH6J7QqNA+keSBobLWwEuwBjGEBDsZGqFRACj2DKqsDQ1DiE9NbjxCT4ZiGSrOIwBIIeARsAZvQgFXtU/4BqZPkAShkyFnhmAn/iFjCEWthENjDFN/+0Ruc4QIICWLBwrRQhMlo+A2j1BwfxMpEhd1LuTMEOzEz1IxDrm9jxD6OyiGVo6QgTAHR+JZV9wGkcSa4t1fbAhNiL0VuKtYZqB9IsmTShnnQgwhwU4G+gjd3T4BEo9wSIRG/Qw0h1HQkwu/xDMgsaYYD8Tym8hUghCkHqFrJNbIeHonQwwhwU4CDISSkOBdL8UiHkk4NAxhgIVvwpCDuCiIQqPxlIIhpHDHPQ/xFPIZN2Nuk1gbCI2SHKGDIWeGYCcBFg5HUbHH9dVxxV6qZzA0ihx+t9VDgKWawqgq+5UyIDKEavFAHDkw0U0P6YbQnE+ZS/yiqlGSI3Qs5MwQ7MRHw+EIlLo8LgoAQY+ooT4JRUNAWYaBKAfVOfEIWQpwFi+eUo4HehlIpMyMpwesNZoCAOARJPisj5SyiFeUECU5QsdCDCHBTgIstEZdXzIK6X2EkdRQUJbBJicHvRMg8ggTKh6hj6FiKRTjLBXLYHfQ4TsUYfpEkoRGHQw5MwQ78TNUa9TdwwgxQh9hPAUMZbjXzYHgrG0OSkZBEhpVOnQ4YGjOnytgIcwBuKF3AtKKZUho1LkYODOdnZ3btm3r6OiQPN7T07Nly5ZQKGTrwgiuxM9Agh8KoVFBYm1ozGACwSPMTWh0oH1CrUHCR0OCN181ikW3na+vBgOfFAASpnpFCLlBryFcuHDh+PHjr7nmmqOOOmrp0qU83y+g9Pzzzzc2Ni5btmzs2LGrV6/O2joJ7gAXlQwNjxCHRsMcKnT83VYP+NTkITSqdI/BrYSxFPIbrxplKGAoiKdcUDIKomIZUjXqZPSemVtuuaW1tXXr1q27d+/+y1/+8sYbbwBAJBJZtmzZ66+//vHHH//pT3+66aabkslkxrciDGHwBn8oGMKBPsLIkOidAADcb5eb9gmhWEbbEJprqAfsFKZcExqNk9Co49F7Zs477zyPxwMAI0aMGD9+fEtLCwCsW7eupqZm9uzZALBo0SKGYTZu3Ji9tRKcDzaEbpeVAVGxTDg5FGRlIF/FMiqlkj6hfcKkIaQiHHKFRygYwiRpqHcwhr9H27Zt++yzz84++2wAOHDgQGNjI36coqixY8ceOHBA7YU8z2/YsEH48Zhjjqmvrze+YIKjGQiNuv6CL/b09xEOnRwhC1SuPMKMoVH/gEdorgsQtxK6xSOMDWiNkvYJx2LsEm9pabn44osffvhhbP8ikYjP5xN+GwgE+vr6FF+IEOI47uGHHxYeOfvss2+++Wbhx2g0mkwmaZrEDvKP2knUAxenAHxePhYKpTI/28EggDjv7+oJdYYYH9ChUDQPa0AoGo0K+XjrXDnW40vGQlzmZ1qET7IxBKEQ1xumKZ6VHz0Gebv64j0RiubpUChi9P39tK+9J3YkSntydWqi0WgikWAYw6aMi1MxzhsKhUIRBlJmPixBgtEblN/vx+FMDQwYwvb29vnz5y9ZsuSWW27Bj9TU1HR1dQlP6OzsHDFihOJrKYryer1///vf1d6cYRi/308MoUMIBoMmX+kHgOSIYn8w6PpTWcQmwR/kPXyJHwWDOWk7SAchxDBMYWGhXW/47FmAz1C2KQzwXAIFgwHayxf6UDDokz7Bm2J8HkhC0NSxLfRylK8QUijoy9GpYRjG5/OZMITIDwk+GQwGKS9flKvVDnnM36BU0Hu36u7uXrRo0aJFi+69917hwalTp27ZsiUWiwFAb2/vjh07pk6dau/6CO4i0F8s4/rQKAx0UAwNodEcMzh9Qr1YJpYyM54eU8BA1CVVoz56MDRKimUci97v0dlnnx2JRMaPH/+73/0OAE488cTp06dPmTJl2rRp11133Xe/+93ly5cvWLBg3Lhx2VwtwemwNLD0UCiWgYEOinByiOQIc4kwmDdT1agZ0W1wW46QQ4DIGCZno3eLMmPGjNNPP33LAM3Nzfjx1157bcSIEY8++uj48eOfe+65rK2T4Br8zFBonwBcOJqE8JAYRphjMlaN+vv7CE0Xy7imahQAPDTEU6SP0NHo/R4tX75c8fHy8vLHH3/cvvUQXE+5j6rISWlitin2Qk8CIkOlajSXiCXWFOOB/aFRC32EbvEIYaCnnkyfcDLkEifYzJeXsENDSgoPqY9wrh8ynHv0t0+Y+6oEsCF0iUeIPyzxCJ0MOTMEmxkaVhAGxGVIsYwJMmqNemkqwSMLoVGIci4YT4/BHzaRQl43rHZ4QgwhgaBMsQd6k0NHWSaXiCTWkEZo1IKyDEQ4iLjFI2QhxhGJNUdDzgyBoEyxl+pNkPYJM6SPYVJwgywqywQYKppCUc4dOUIfDXGezCN0NOTMEAjK9HuEHCLFMkbRozVqpX0iIBTLuOHU+EiO0PGQM0MgKFPshd4Enj5BUjvGYGmK4xFkHsNkTWvUJR5h/xRiojXqYIghJBCUGfAISWjUMJnnEdIQ5y0oywjFMm7YoxCP0PmQM0MgKFOCc4SkWMY4escwcWaLZRiIuERiDUSGkBTLOBZyZggEZYo90JMYOmOYcolQNRpX7SOk4ikU560py7ikod5HU7EUIsUyToacGQJBGdxHGOEQyREaJc0jzMKEepc11LMQJzlCZ0MMIYGgTL/oNskRGictR6heNWq1WMY1HiHEeUiQCfUOhlziBIIyxV6qJ4FiLqnRdxSiMUzIpzRktL9YxsL0iah7PEIfqRp1PMQjJBCUKfJALAUeGogwllEyim5jsRUrotthDmIp5HfDucHqAUkEHhcsdpjihg0VgZAPKICgh1hBMwiGUM3UYY/QyhimKIfcMhikv2qUeIQOxg3fIwIhTxSTuROmEGmNahXLmG6tCzAQ4cwrtOWY/tAoqRp1MMQQEgiqlHj7PRuCIfTMI+xNIJYCc+UjhSyEkq6JWvsZKsqhRIr0EToXpxvCVatW/d///V++VzG8SKVSDJO206Yo6rrrrrvsssvytaR8UeyBWCrfi3AhHppK8ggA4qoN9VRv0rw/x9LA0u6olAEAHwPdcUgi4hE6F6d/lT766KPJkycvXLgw3wsZ1qxevfrDDz8cjobQC0wy34twIayofUJRRM1HQ5KHUq/5P1HAuqN3AgZLZEmO0Lk43RACwLHHHjtv3rx8r2JYs3Pnzj179uR7FXmg2EMBoHyvwn14hPYJlbs/9gXN9U5gAgy4QmgUBhKiSdJH6GBcYAgJhHxR7IUUIjcvw4ga6pXv/iwNDGWp1KWApVxRKQNk+oQbIIaQQFCl2ANxkiM0DktlEN0GAC9jsokQU8BaenkuIdMnnA8xhASCKsVeKsKR0KhhWBp4BEi9fQIAfLRFj9A1DhYxhM6HGEICQZUp5dBWQEKjZsDRUY3ZQ37LHqFbuhH8DBVL8WqdJAQnQAwhgaDK+WPIrcskuHBUY/aQj7GU5Auw4HFJ7YmPgTAHtNmmSUIOIIaQQCDYD0tBlANG/e7vs+oRUi4pGgUfDaEkiYs6GmIIzXDzzTenUimPx1NWVnbiiSeec845fr8/34siEByEh4YIhzTu/j4GfBZcpAIGGJeYFh8DvQliCB0NOTlmePrpp6urqydNmsSy7GOPPTZhwoRt27ble1EEgoPw0BDmtOpZfDT4LezDXdRQ72cglEQkQehkiEdokosuumjKlCkA8JOf/OT666+/6qqrtm/fTlEUALzzzjvvv/9+aWnp4sWLa2pq8PN37tz5xhtvdHZ2Tpky5bLLLpNomBEIQwyWpsKclhvkZ5VFZ3RSwALlltAoA6EkVPhdstxhCdmlWIWiqLvvvvvzzz/H2it33nnn/fffP27cuFAoNGPGjI6ODgBYu3bt3LlzOY474YQTNm7cGIvF8r1qAiG7eGkIJ7XqWXy0pRxhwFUeYYwobjsb93mEbzehxz/LaZPzQ1OZmdVau7mGhgaWZZuamrxe78qVK/fv319cXAwA7e3tTz/99F133XXHHXc88cQT//mf/wkAixcvztG6CYT84aEhwmmZOovtE5c2usawYCU5kiN0Mu4zhLOqqTsn5W4ryNBwQnmGmEZfXx/HcQUFBdu3b+c47qKLLsKPf/PNN6eeemo8Ht+1a9fcuXOzvlYCwTGwNIQ1i2W8DGXFpZuc6ap0Dj5m8F+CM3GfISzxwryRzroG1q9fHwgETjjhhE8++aS2tvbll18WfuX1ej0ej8/n6+vry+MKCYQcw1IQ0cwRWmyfcBE4FUpCo06GnBxLxOPx1atX33bbbT/60Y8KCwunTZvW09OzadOmsrKysrKyoqKiaDRK0/TChQuXL1+OEMIv4Xky7JUwxMlYNepnLE2fcBFeBigSGnU27vMIHcKcOXMYholEIpMmTXrggQeuvfZaACgpKXnxxRevueaa+vp6v9+/Z8+eJ5544tvf/vby5csvueSSSZMm1dfX79y5c8eOHYWFhfn+BARCFuk3hBoeobViGRdBAXgZYggdDTGEZmhtbQUAhmFwUYyYuXPnfvXVV/v27YvFYmPHjsUGb+TIkR999NE333zT3d09bty4goKCPCyaQMghHhrCmnIqkyuoUYXDwiMEAD9DQqOOhhhCM5SVlWn8lmGYcePGyR8fPXr06NGjs7YoAsFB9BfLqPt8Nx07jCzD8EmIupRh9F0kEAg5A7dPkJnsGB9NuUUifHhCDCGBQLAfloKwZh/hsMJHcoTOhpycvPHee+9hkTYA8Hq9R44cUXxaV1fXW2+9Jfx4991333PPPblYH4FgAQ9NaecIhxV+xjVjhIcnJEfoCFatWlVUVKT4q7179y5btmzv3r34x0suuSSH6yIQTIKnT1QFSDwQgHiEjocYQjM89thjF1xwwR//+MdkMnnllVdOmjQJAP75z392dnYihN56661rrrlm6tSp77zzzoYNG3w+3+LFiydMmIBf+/e///3NN98cMWLExIkThTdsaWkRmgs//vjjv/71r1iq9Kqrrnr22Wd7enp+9rOfAcBtt93W29tLDYgNt7S0/OEPf2hrazvttNMuvvhiAOA47vHHH7/iiit+97vfRaPRq666CjudoVBo5cqVe/bsKS4uPu+880477bQcHi3CcISlIczBSHL3BwBiCB0POTlmuOeee6644oqjjz56xIgRZ5555ueffw4AGzduXLp06QsvvDBz5szCwsJHHnnknnvumTJlSnV19RlnnLF7924AeOONNxYvXjx58uSCgoLbb79deMM777wzHA4DwO9///tLL720vr7+tNNO27x5MwCMHDmSZdnGxsbGxkaapt966y0cKW1tbT3ppJNCodDMmTN/+tOf3nnnnQDAcdxdd9117bXXjh07tqysbM6cOe3t7QCwZMmSzz///Nxzzz322GO/+OKLfBwzwvAiYx/hsIK0Tzgc93mEsR2f9L79fC7/YumFN3nHHid58M4778Saoq2trU888cTTTz8NAGVlZc8++yxFUd3d3Q899NDevXvxGKZQKPTrX/96+fLljzzyyP/8z/9ceeWVANDV1fXnP/9Z/J4IoR/96Eevv/767NmzAeDSSy8FgDPPPPN///d/5RHRFStWnH766Y888ggATJ8+/fjjj7/77rt9Ph8APPTQQzNnzgSAdevWffDBBxdeeOFnn332m9/8ZsGCBVk5QASCjP6qUZIYAwDsEZJD4WDcZwh94yaXXlqRy7/oqW2QPzh16lT8n2nTpv3yl7/E/58yZQqOW+7evTuZTJ577rn48SNHjhx99NH4cfELJYawubm5p6fnlFNO0bOq3bt3z5gxA/9/3LhxwWDw66+/Pu644wDg+OOPx4/X1NR0dnYCwH333XfJJZeMHz/+nHPOWbZsWXV1te5PTyCYAVeNEo8Q46MpciicjPsMIeULeEeNz/cqQBDRDoVCgr6M1+vF/wkGgwUFBf/617+o9OGhwWBQ/ELJexYXF/M839fXV1pamnEBwWBQeIdUKhUOh4Vl0HT/NUdRFBY4/c53vnP55Zd/8MEHv/3tbxctWrRlyxaDH5dAMIaHhnASkT5CjJ8lewJHQ06OSX7/+98DAMdxzz777Lx5Sse2lAAAE1NJREFU8yS/nTBhQl1d3VNPPYV/TCaTzc3NAHDWWWfhF6ZSqWeeeUbyquLi4jlz5jz22GP4x97eXgCoqKg4cuRIIpGQPHnevHkvvvgifs4zzzxTX18/duxYtdXu37/f6/WeddZZd9999/79+01+ZgJBNzg0SrrIMT6aHApH4z6P0CGEw+Fp06Z1d3dPmDDhpptukvyWZdmXX3558eLFv/nNb0pLSw8cOPDggw8uWbLkoYceOuecc6ZMmZJKpWbMmHHo0CHJC1etWnX55Ze//vrrFRUV7e3tu3btamhoOP/88xsaGgKBwNatW4VnXnrppR988MExxxwzevTow4cP/9///R/DMMlkUnG1CxYs8Pv9NTU1u3fvxgWoBEJWITlCMaRYxuH0h86yTTQaraioiEQiak+IRCJ+v1+I6Qlcf/31s2bNuu6667K8QGN4vd6DBw9SFJVIJOrr6zWe2dbW1t3dPWbMGFzGAgAIoX379pWXl4vjnxzHsezgpuTw4cN9fX1jx45lGOmNBHdZCAcqFAp1dHSMGTNGfugkHDp0qKenBxtU3R+0n+XLl+/Zs+fJJ580+kKCFRBCkUjEpYNK7tmcevhT/pcnM9+fOBQsQCQS8fl88utRJ7d/kmoIUt87figcirwTCoWCwaC970k8QvPoKTmprq6WPI2iqMbGRsnTxFYQAEaMGKH2hhKDFwwGdX4n6urq6urq9DyTQLAOdoBIYgxz34kMcY6dDDGEZvjpT3+qJgRDIBAAgKUoABIa7afMl+8VEDQhhtAMt912m1AgSiAQ5BCPkOAiyPfUDIWFhVixRSetra0bNmyQP87z/IoVKy644IKTTz558eLFWKEGs2vXrksuuWTmzJm33347Fp0hEFwESwwhwT2Q72ku2L59+1133SV/PJlMrl279sorr3zyySfr6+vnzJnT1tYGAIlEYv78+ZMmTXrqqad27979ve99L+dLJhAs0e8RktAowQ2Q0Kgltm3b9sorrzQ1NdXX19988824GqW3t3fFihU7duwoLi4+99xzce9gc3PzXXfdRVEUFkXD+Hy+N998E/9/xowZzz///KZNm84777zVq1cHg8H77rsPAJYvX3788cf//Oc/LysrE174wgsv1NXVzZ07F//4/PPPjxo1avbs2alU6g9/+MM///nPqqqqW265Ba9HWOTIkSNvvvnmkSNHAsDGjRs7Ojp4nv/rX/966623jho1asWKFXv37i0vL7/00ktPPfXUHB1BwhBlIDRKmucILoB4hJb45JNPGhsbr7zySpZlZ82ahftDbrrppt27dy9ZsuSss85qampiGGb8+PEFBQVTp0496aST1N6qra2ttbV13LhxALB9+3ZBPq2xsTEYDO7atUv8ZIZhhKmE0Wj01ltvraysBIBLLrlk/fr13/72t8vKyk4++eSuri4A2LRp09ixY6+88kqv13vKKafgQOumTZuWLVu2YcOG888/v6Sk5MILL4zFYldfffWsWbOampqycrAIwwmWAiAeIcEluM8j/EfTpt9s+X3O/hxN0XfN+t4JVVLRbcwNN9wAAO3t7UcdddTatWv/8Y9/LFiwYNeuXT/4wQ/EcjOzZ89eu3atxihBjuOWLFmyZMmSY489FgBaW1vF/l9ZWRkOmQpceOGFt99++6effjplypSXXnpp8uTJxx133KZNm7Zu3frVV1+xLHvOOeds3779hRdeuOWWW5YuXSpe5AcffLBw4UIAEGvffPnll48++ujpp59u+kARCGJIsQzBRRgwhMlkcseOHV1dXWeccYbw4ObNm7u7u/H/i4qKTj75ZJsXKGNG7YmNZz2Q7b8ipqawSu1Xzz///N13311fX19QULB///6WlhYAuP/++5cuXfrAAw8sWrTo+9//vobyGYbn+WuuuQYhtHz5cvxIcXGxIEkKAOFwuKSkRPwSj8dzzTXXrFq16sknn1y5cuWtt94KAJ9//nlbWxtW9waArq6uqqoqvMh77rln5MiRBQUF+/btw4sEgBNOOEF4w0cfffQ//uM/Ro0ade655/7gBz/ALyQQTEMMIcFF6DWE77///tlnn11UVBSNRsX36Ntvv723txffNxsaGnJgCL2Mt65Itd88l3Act3Tp0m3btuF45umnn45lX771rW81NTVt2bJl5cqVZ5555r59+yTS22IQQkuXLm1ubl6zZo2gPtPQ0LB69Wr8/97e3ra2tjFjxkheeMMNN5x44onf+c53vvzyywsuuAAASktLp0yZ8tFHH8kX+emnn44fPx4AZs+eLUwA9ng8wtOuu+66JUuWfPjhh08++eSll1767rvvWjs2hOEOS4plCO5B74ZtypQpBw8eXLt2rfxX999///r169evX79y5Upb1+Z0kslkIpHADYWffPLJxx9/jB/fuXMnTdPTp0+/4447WltbOY6rqKg4fPiwXAgUIbRs2bKdO3e+8cYbYuWzSy65ZNOmTdu2bQOAp556avr06XK3ctSoUaeccsqll1569dVXYws6Z86cr776SjhHXV1dhw8f5jgukUhgm7dp0yZhkWJ4nt+9ezfLsnPmzLnxxhvlCqgEglGIR0hwEXo9QjziR3Fwwe7du9etW3fssceOHj3axpU5GY/HQ1FUIBC47777pk6d2tDQUFxcjKfpAsD111/f0tIyYsSIpqamJ554gmXZyZMnz5kzp6GhIRaL4QGBmPb29hUrVgCAIJP21FNPLV26dMSIEb/85S/POOOMioqKVCr1+uuvKy7jhhtuOO+883AKEAAqKytfe+21G2644Y477mAYpq+v7/nnn581a9ZPfvKT6dOnNzQ0BINBYZFieJ5ftGiR1+stLy9vbm4mmqIE6xBDSHARxkS3N2/ePHfuXHFodOHChVgw+sMPP1y2bJm4N0BMNBotLS194oknhEcmTpwojqOqiW7fcMMNp556qtNEt8X09vaGw+Ha2lrxgz09PT09PbW1teLwo1FisVhbW1t9fb2aoPZvf/vb1157bf369ZLHOzs7OY6rqanRXqT8VdFotLa2Vq4svHz58t27dwvzhwm5wdWi2283wfl/g90XwdghoUVoUXSbYCNGRbcZhsk4k8Bq1eiaNWvwl+PLL7+cOnXq+eefP2vWLPnTEEI8z4vnwZaWlqZSKeHHVCqVSqXkVjk3wzGsUFxcLEzEFSgpKZGUt5jA7/erOdkdHR2//vWvf/vb37700kvy31ZUVOhZZMZXiUEIic8XIQfgY+7Sw84ABUCzQ+Vb494TMfQwei4yWkGwbgiFLdKECRNOOumkrVu3KhpCiqI8Hs/TTz+t9j48zyt6hGQLpkYwGHzllVdy1vDAMIzf78/N3yJg8PbRpYe90I8AuGCBS5cvhed54hE6hGQyafu3yrY+wr6+vi+//HL4pAnzS2Vl5X/913/lexUEgipEa5TgIvQawq6urrvuuqu9vT0ej99www1VVVUPPfTQgQMHrrvuutNPP93j8bz00ksTJkxYtGhRVpdLIBBcASmWIbgIvYbQ4/FMnToVALAoCU44jRgx4rvf/e4XX3wRj8fvvffeCy+8kIQOCAQCENFtgqvQawiLioqEMn0Bn8932WWX2b0kAoHgelgKaAoYorlNcAMkckEgEOzHQ4OPuIMEl+B00W2fz/fjH//44YcfzvdChhEIIYkmXG9v79VXX52n5RBciYcmCUKCa3C6IXzsscdIeWSOCYfDkiZuiqLq6+vztR6CG2GJISS4B6cbwoKCgsbGxnyvYnhhVLiBQJBT4qWOLyMZQoI7IHs2AoFgP6VeePdcp++zCQQMMYQEAoFAGNYQQ0ggEAiEYQ0xhAQCgUAY1jjFEL722mt79uzJ9yoIAACPPfaY84d+DAf27dunOF2EkHv+8pe/fPHFF/leBQEA4Oc//znP8/a+p1MM4RtvvPHvf/8736sgAAA88sgjZOKME9i+fbvaTGZCjlmzZs3mzZvzvQoCAMDjjz8eiUTsfU+nGEICgUAgEPICMYQEAoFAGNYQQ0ggEAiEYQ2Vm7KIeDxeVFSkMba3ra2tsLBQouxFyAv79+9vaGjI9yoIEIlEQqFQTU1NvhdCgPb29kAgUFRUlO+FEODAgQOjR4+W6CFrcMUVVzz44IPaz8mRIQSAAwcOaJRgJBIJj8ej/7MRskc8Hvf5fPleBQEQQslk0uv15nshBEgmkwzD0DQJoeUfozeo2traQCCg/ZzcGUICgUAgEBwI2eAQCAQCYVhDDCGBQCAQhjXEEBIIBAJhWEMMIYFAIBCGNY4YGPaPf/xj9erVpaWl1157bV1dXb6XM7zYvn37unXrDh8+PH78+MWLF+MOlr6+vhdeeEF4zowZM6ZMmZK/NQ4Lent7X3zxReHHmTNnTp48Gf//X//61yuvvFJYWHj11VePGTMmTwscRmzYsGHv3r3Cj0VFRVdccQUAvPrqq0eOHMEPjhgx4vzzz8/P+oY6PT09W7Zs+frrr6dMmTJ9+nTh8e7u7pUrV7a0tMybN++cc84RHv/ggw9Wr15dXl5+7bXX1tbWmviL+fcI33rrrfPPP3/kyJEtLS0zZszo7u7O94qGERzHLViwoLm5efTo0a+//vqMGTPC4TAAdHZ23nrrrXsHICclB3R0dHzve98TjnlPTw9+/P333583b151dXVvb+/06dMPHz6c33UOB1pbW4UTsWLFij/96U/48QcffPC9997Djzc3N+d3kUOYq6666o477njwwQffeOMN4UGO42bPnr1ly5bGxsabbrrpqaeewo+/+eab3/72t0eNGnXw4MGZM2cKF44xUL457bTTVqxYgf8/b968J554Ir/rGVbwPB+LxfD/E4lETU3NmjVrEEL79+8PBoN5Xdqw4+uvvy4tLZU/fu655z766KP4/xdddNH999+f23UNa3ieb2xsfPnll/GPkyZNevfdd/O6omFBKpVCCF155ZX33nuv8OCf//zno48+Gv9qzZo1DQ0N+P+zZs363e9+h59zxhlnLF++3MRfzLNHyHHcRx99NH/+fPzj/PnzN27cmN8lDSsoihK3psbj8WAwiP/PcdyvfvWrFStWkOkzOSOZTOJjvnPnTuHBjRs3kgskX2zYsKGnp0ccAv3LX/7yi1/84p133snjqoY8isIFGzduPOuss/Cv5s2b98033xw4cCAej3/yySfz5s3DzzF9geTZELa2tvI8X11djX+sqalpaWnJ75KGLffee+/EiRNPPfVUAGBZ9owzzmhvb9+yZcvMmTOfeeaZfK9u6MOy7Ny5c9vb2zdv3jxjxoxnn30WAEKhUF9fX1VVFX5OdXU1uUByyapVq6666iphszh58mSGYVpaWq6//vrLL788v2sbbhw+fFi4ELxeb2lpaUtLy+HDhxFC1i1InotlWJYFAI7j8I9EUCpf/P73v3/xxRfff/99vOEaOXLkmjVr8K8WLFhwyy23fOc73yECeFll9OjRf/3rX/H/582b9/3vf3/x4sUejwdEFwjHceQCyRlHjhxZvXr1J598IjwiJAvvuOOO8ePHf/jhh3jjSMgBLMuKRTqxsZBcIKYtSJ49wqqqKq/XK6Sdm5ubzdX8EKywatWqBx544N1331WsSDzllFM6OztNpqAJpjj11FPb29tDoZDf7y8vLxdfIKSsOmc8//zzJ5xwglC7K6ampmbcuHH79u3L/aqGLSNHjhQuhN7e3r6+vrq6uurqapZlrVuQPBtCmqbPPffcV155BQA4jlu9ejWpSM4xL7300n333bdu3brGxkbhwVgsJvz/zTffrK+vLy0tzcfqhhGSYz5mzBicrz3//PNfffVVAOB5/rXXXjvvvPPytsRhxh/+8Idrr71W+DGRSAgeyZ49e3bt2nX88cfnaWnDkfPOO2/t2rWhUAgAXn311ZNOOqmuro5l2XPOOQdfIMlk0rQFyb/o9qeffjp//vz58+cfOHCApukNGzaQ0Qc5o6enp6Kiora2Vpj1c9ddd1188cUPPfTQ66+/ftxxxzU3N3/66afPPfecuGuHkA3uv//+N99889hjj8XH/IUXXli4cCEAfPnll7Nnz54zZ05ra2soFHr//ffJtLIcsHXr1tNOO+3QoUPCFnDbtm3nnXfezJkzAeCdd9658cYbf/azn+V1jUOWJ5544rnnntu3b5/P56urq/vhD3942WWXAcDFF1/85ZdfnnTSSWvWrHnhhRdwEdnWrVvPPvvsBQsW7N271+v1rl+/3kR0NP+GEADa29vffffd0tLSM844A8d8CbmB47ht27aJHxk9enRVVVUsFvvXv/7V1NRUXl4+Y8aMsrKyfK1w+BCNRjdv3qx4zLu6ujZs2FBUVHTmmWeSbWJuaGtrO3LkyDHHHCM8ghDasWPHrl27aJqePHnyUUcdlcflDW2amppaW1uFH0eNGoXLYRBCGzduPHz48GmnnVZfXy88oa2t7b333isrKzvjjDNw3YlRHGEICQQCgUDIF/lXliEQCAQCIY8QQ0ggEAiEYQ0xhAQCgUAY1hBDSCAQCIRhDTGEBAKBQBjWEENIIBAIhGENMYQEAoFAGNYQQ0ggEAiEYQ0xhAQCgUAY1hBDSCAQCIRhDTGEBAKBQBjW/H9SYmDkK5zeQAAAAABJRU5ErkJggg==",
"image/svg+xml": [
"\n",
"\n"
],
"text/html": [
"
"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot!(81:100, predicted20, label=\"last 20 years\")"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "5bec46af",
"metadata": {},
"outputs": [],
"source": [
"# savefig(\"decemberTemperaturesFittedLast20.png\")"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 1.12",
"language": "julia",
"name": "julia-1.12"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "1.12.4"
}
},
"nbformat": 4,
"nbformat_minor": 5
}