From 3e7825b7a68c5bb323e27c7b49a426da19ad63b2 Mon Sep 17 00:00:00 2001 From: hsm207 Date: Wed, 14 Oct 2020 14:24:59 +0800 Subject: [PATCH] Notebook on statistical vs scientific models --- book/16_Madness/fit_scientific_model.ipynb | 24953 +++++++++++++++++++ 1 file changed, 24953 insertions(+) create mode 100644 book/16_Madness/fit_scientific_model.ipynb diff --git a/book/16_Madness/fit_scientific_model.ipynb b/book/16_Madness/fit_scientific_model.ipynb new file mode 100644 index 0000000..f41f86e --- /dev/null +++ b/book/16_Madness/fit_scientific_model.ipynb @@ -0,0 +1,24953 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# System Info" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Julia Version 1.5.1\n", + "Commit 697e782ab8 (2020-08-25 20:08 UTC)\n", + "Platform Info:\n", + " OS: Linux (x86_64-pc-linux-gnu)\n", + " CPU: Intel(R) Core(TM) i7-7500U CPU @ 2.70GHz\n", + " WORD_SIZE: 64\n", + " LIBM: libopenlibm\n", + " LLVM: libLLVM-9.0.1 (ORCJIT, skylake)\n", + "Environment:\n", + " JULIA_NUM_THREADS = 2\n", + " JULIA_EDITOR = \"/home/user/.vscode-server-insiders/bin/f5d3ba4d61146b78f0c75c82f3f85232d3409bc1/bin/code-insiders\"\n", + " JULIA_PATH = /usr/local/julia\n", + " JULIA_GPG = 3673DF529D9049477F76B37566E3C7DC03D6E495\n", + " JULIA_VERSION = 1.5.1\n" + ] + } + ], + "source": [ + "versioninfo()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Setup" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "cd(\"..\")" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# how many iterations of HMC to do\n", + "iters = 1000;" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Packages" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "include(\"../src/Utils.jl\")\n", + "using .Utils" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "using Pipe\n", + "using Query\n", + "using VegaLite\n", + "using DataFrames\n", + "using Turing\n", + "using StatsPlots" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Dataset" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "

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", + "image/svg+xml": [ + "\n", + "\n", + "0102030405060708090100110120130140150160170180height (cm)05101520253035404550556065weight (kg)\n" + ], + "text/plain": [ + "@vlplot(\n", + " height=400,\n", + " width=600,\n", + " mark=\"point\",\n", + " encoding={\n", + " x={\n", + " title=\"height (cm)\",\n", + " field=\"height\"\n", + " },\n", + " y={\n", + " title=\"weight (kg)\",\n", + " field=\"weight\"\n", + " }\n", + " },\n", + " data={\n", + " values=...\n", + " }\n", + ")" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "main_plot = howel |>\n", + " @vlplot(:point,\n", + " x = {:height, title = \"height (cm)\"},\n", + " y = {:weight, title = \"weight (kg)\"},\n", + " height = 400,\n", + " width = 600)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Modelling" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Statistical Model" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Simple Linear Regression" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "A simple linear regression model:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "@model function lm_model(height, weight)\n", + " N = length(height)\n", + " \n", + " σ ~ Exponential(1)\n", + " α ~ Normal(0, 10)\n", + " β ~ Normal(0, 10)\n", + " \n", + " for i in 1:N\n", + " μᵢ = α + β * height[i]\n", + " weight[i] ~ Normal(μᵢ, σ)\n", + " end\n", + "end;" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "┌ Warning: The current proposal will be rejected due to numerical error(s).\n", + "│ isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)\n", + "└ @ AdvancedHMC /home/user/.julia/packages/AdvancedHMC/P9wqk/src/hamiltonian.jl:47\n", + "┌ Warning: The current proposal will be rejected due to numerical error(s).\n", + "│ isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)\n", + "└ @ AdvancedHMC /home/user/.julia/packages/AdvancedHMC/P9wqk/src/hamiltonian.jl:47\n", + "┌ Warning: The current proposal will be rejected due to numerical error(s).\n", + "│ isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)\n", + "└ @ AdvancedHMC /home/user/.julia/packages/AdvancedHMC/P9wqk/src/hamiltonian.jl:47\n", + "┌ Warning: The current proposal will be rejected due to numerical error(s).\n", + "│ isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)\n", + "└ @ AdvancedHMC /home/user/.julia/packages/AdvancedHMC/P9wqk/src/hamiltonian.jl:47\n", + "┌ Warning: The current proposal will be rejected due to numerical error(s).\n", + "│ isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)\n", + "└ @ AdvancedHMC /home/user/.julia/packages/AdvancedHMC/P9wqk/src/hamiltonian.jl:47\n", + "┌ Warning: The current proposal will be rejected due to numerical error(s).\n", + "│ isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)\n", + "└ @ AdvancedHMC /home/user/.julia/packages/AdvancedHMC/P9wqk/src/hamiltonian.jl:47\n", + "┌ Warning: The current proposal will be rejected due to numerical error(s).\n", + "│ isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)\n", + "└ @ AdvancedHMC /home/user/.julia/packages/AdvancedHMC/P9wqk/src/hamiltonian.jl:47\n", + "┌ Warning: The current proposal will be rejected due to numerical error(s).\n", + "│ isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)\n", + "└ @ AdvancedHMC /home/user/.julia/packages/AdvancedHMC/P9wqk/src/hamiltonian.jl:47\n", + "┌ Warning: The current proposal will be rejected due to numerical error(s).\n", + "│ isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)\n", + "└ @ AdvancedHMC /home/user/.julia/packages/AdvancedHMC/P9wqk/src/hamiltonian.jl:47\n", + "┌ Warning: The current proposal will be rejected due to numerical error(s).\n", + "│ isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)\n", + "└ @ AdvancedHMC /home/user/.julia/packages/AdvancedHMC/P9wqk/src/hamiltonian.jl:47\n", + "┌ Info: Found initial step size\n", + "│ ϵ = 1.220703125e-5\n", + "└ @ Turing.Inference /home/user/.julia/packages/Turing/G7n2S/src/inference/hmc.jl:625\n", + "\u001b[32mSampling: 100%|█████████████████████████████████████████| Time: 0:00:27\u001b[39m\n" + ] + } + ], + "source": [ + "height = howel[:, :height]\n", + "weight = howel[:, :weight]\n", + "\n", + "chain1 = sample(lm_model(height, weight), NUTS(), iters);" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Chains MCMC chain (500×15×1 Array{Float64,3}):\n", + "\n", + "Iterations = 1:500\n", + "Thinning interval = 1\n", + "Chains = 1\n", + "Samples per chain = 500\n", + "parameters = α, β, σ\n", + "internals = acceptance_rate, hamiltonian_energy, hamiltonian_energy_error, is_accept, log_density, lp, max_hamiltonian_energy_error, n_steps, nom_step_size, numerical_error, step_size, tree_depth\n", + "\n", + "Summary Statistics\n", + " \u001b[0m\u001b[1m parameters \u001b[0m \u001b[0m\u001b[1m mean \u001b[0m \u001b[0m\u001b[1m std \u001b[0m \u001b[0m\u001b[1m naive_se \u001b[0m \u001b[0m\u001b[1m mcse \u001b[0m \u001b[0m\u001b[1m ess \u001b[0m \u001b[0m\u001b[1m rhat \u001b[0m \u001b[0m\n", + " \u001b[0m\u001b[90m Symbol \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\n", + " \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m\n", + " \u001b[0m α \u001b[0m \u001b[0m -33.5552 \u001b[0m \u001b[0m 1.0681 \u001b[0m \u001b[0m 0.0478 \u001b[0m \u001b[0m 0.0735 \u001b[0m \u001b[0m 187.0657 \u001b[0m \u001b[0m 0.9985 \u001b[0m \u001b[0m\n", + " \u001b[0m β \u001b[0m \u001b[0m 0.5002 \u001b[0m \u001b[0m 0.0075 \u001b[0m \u001b[0m 0.0003 \u001b[0m \u001b[0m 0.0006 \u001b[0m \u001b[0m 171.9877 \u001b[0m \u001b[0m 0.9982 \u001b[0m \u001b[0m\n", + " \u001b[0m σ \u001b[0m \u001b[0m 4.9785 \u001b[0m \u001b[0m 0.1478 \u001b[0m \u001b[0m 0.0066 \u001b[0m \u001b[0m 0.0071 \u001b[0m \u001b[0m 208.7613 \u001b[0m \u001b[0m 0.9980 \u001b[0m \u001b[0m\n", + "\n", + "Quantiles\n", + " \u001b[0m\u001b[1m parameters \u001b[0m \u001b[0m\u001b[1m 2.5% \u001b[0m \u001b[0m\u001b[1m 25.0% \u001b[0m \u001b[0m\u001b[1m 50.0% \u001b[0m \u001b[0m\u001b[1m 75.0% \u001b[0m \u001b[0m\u001b[1m 97.5% \u001b[0m \u001b[0m\n", + " \u001b[0m\u001b[90m Symbol \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\n", + " \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m\n", + " \u001b[0m α \u001b[0m \u001b[0m -35.6935 \u001b[0m \u001b[0m -34.3219 \u001b[0m \u001b[0m -33.5553 \u001b[0m \u001b[0m -32.8270 \u001b[0m \u001b[0m -31.4808 \u001b[0m \u001b[0m\n", + " \u001b[0m β \u001b[0m \u001b[0m 0.4854 \u001b[0m \u001b[0m 0.4951 \u001b[0m \u001b[0m 0.5003 \u001b[0m \u001b[0m 0.5052 \u001b[0m \u001b[0m 0.5160 \u001b[0m \u001b[0m\n", + " \u001b[0m σ \u001b[0m \u001b[0m 4.7086 \u001b[0m \u001b[0m 4.8813 \u001b[0m \u001b[0m 4.9824 \u001b[0m \u001b[0m 5.0714 \u001b[0m \u001b[0m 5.2782 \u001b[0m \u001b[0m\n" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "chain1" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "\n", + " \n", + " \n", + " \n", + "\n", + "\n", + "\n", + " \n", + " \n", + " \n", + "\n", + "\n", + "\n", + " \n", + " \n", + " 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+ "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + " \n", + " \n", + " \n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "plot(chain1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Get the predictions:" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "c = DataFrame(chain1)[:, :α] |> mean\n", + "m = DataFrame(chain1)[:, :β] |> mean\n", + "\n", + "# @mutate is referencing a global variable, Query.jl will convert all types to Any\n", + "# see: https://discourse.julialang.org/t/query-mutate-changes-other-column-type/39292/6\n", + "howel = howel |>\n", + " @mutate(lm_pred = m * _.height + c) |>\n", + " DataFrame;" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Visualize the fit:" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.vegalite.v4+json": { + "data": { + "values": [ + { + "height": 151.765, + "lm_pred": 42.362323321682474, + "weight": 47.8256065 + }, + { + "height": 139.7, + "lm_pred": 36.32703659831629, + "weight": 36.4858065 + }, + { + "height": 136.525, + "lm_pred": 34.73880325006204, + "weight": 31.864838 + }, + { + "height": 156.845, + "lm_pred": 44.903496678889304, + "weight": 53.0419145 + }, + { + "height": 145.415, + "lm_pred": 39.18585662517396, + "weight": 41.276872 + }, + { + "height": 163.83, + "lm_pred": 48.39761004504869, + "weight": 62.992589 + }, + { + "height": 149.225, + "lm_pred": 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+ "image/svg+xml": [ + "\n", + "\n", + "0102030405060708090100110120130140150160170180height (cm)-10010203040506070weight (kg)\n" + ], + "text/plain": [ + "@vlplot(\n", + " layer=[\n", + " {\n", + " mark=\"point\",\n", + " encoding={\n", + " x={\n", + " title=\"height (cm)\",\n", + " type=\"quantitative\",\n", + " field=\"height\"\n", + " },\n", + " y={\n", + " field=\"weight\",\n", + " type=\"quantitative\"\n", + " }\n", + " }\n", + " },\n", + " {\n", + " height=400,\n", + " width=600,\n", + " mark=\"line\",\n", + " encoding={\n", + " x={\n", + " field=\"height\",\n", + " type=\"quantitative\"\n", + " },\n", + " y={\n", + " title=\"weight (kg)\",\n", + " type=\"quantitative\",\n", + " field=\"lm_pred\"\n", + " },\n", + " color={\n", + " value=\"red\"\n", + " }\n", + " }\n", + " }\n", + " ],\n", + " data={\n", + " values=...\n", + " }\n", + ")" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "howel |>\n", + " @vlplot() +\n", + " @vlplot(:point,\n", + " x = {:height, title = \"height (cm)\", type = \"quantitative\"},\n", + " y = \"weight:q\"\n", + " ) +\n", + " @vlplot(:line,\n", + " x = \"height:q\",\n", + " y = {:lm_pred, title = \"weight (kg)\", type = \"quantitative\"},\n", + " color = {value = :red},\n", + " height = 400,\n", + " width = 600)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Simple Linear Regression With A Transformation" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "@model function lm_model2(height, weight)\n", + " N = length(height)\n", + " \n", + " α ~ Normal(0, 10)\n", + " β ~ Normal(0, 10)\n", + " \n", + " for i in 1:N\n", + " μᵢ = α + β * height[i]\n", + " weight[i] ~ LogNormal(μᵢ, 1)\n", + " end\n", + "end;" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "┌ Info: Found initial step size\n", + "│ ϵ = 0.000390625\n", + "└ @ Turing.Inference /home/user/.julia/packages/Turing/G7n2S/src/inference/hmc.jl:625\n", + "\u001b[32mSampling: 100%|█████████████████████████████████████████| Time: 0:02:24\u001b[39m\n" + ] + } + ], + "source": [ + "chain2 = sample(lm_model2(height, weight), NUTS(), iters);" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Chains MCMC chain (500×14×1 Array{Float64,3}):\n", + "\n", + "Iterations = 1:500\n", + "Thinning interval = 1\n", + "Chains = 1\n", + "Samples per chain = 500\n", + "parameters = α, β\n", + "internals = acceptance_rate, hamiltonian_energy, hamiltonian_energy_error, is_accept, log_density, lp, max_hamiltonian_energy_error, n_steps, nom_step_size, numerical_error, step_size, tree_depth\n", + "\n", + "Summary Statistics\n", + " \u001b[0m\u001b[1m parameters \u001b[0m \u001b[0m\u001b[1m mean \u001b[0m \u001b[0m\u001b[1m std \u001b[0m \u001b[0m\u001b[1m naive_se \u001b[0m \u001b[0m\u001b[1m mcse \u001b[0m \u001b[0m\u001b[1m ess \u001b[0m \u001b[0m\u001b[1m rhat \u001b[0m \u001b[0m\n", + " \u001b[0m\u001b[90m Symbol \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\n", + " \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m\n", + " \u001b[0m α \u001b[0m \u001b[0m 0.6091 \u001b[0m \u001b[0m 0.2412 \u001b[0m \u001b[0m 0.0108 \u001b[0m \u001b[0m 0.0312 \u001b[0m \u001b[0m 57.5867 \u001b[0m \u001b[0m 1.0012 \u001b[0m \u001b[0m\n", + " \u001b[0m β \u001b[0m \u001b[0m 0.0205 \u001b[0m \u001b[0m 0.0017 \u001b[0m \u001b[0m 0.0001 \u001b[0m \u001b[0m 0.0002 \u001b[0m \u001b[0m 61.2102 \u001b[0m \u001b[0m 1.0011 \u001b[0m \u001b[0m\n", + "\n", + "Quantiles\n", + " \u001b[0m\u001b[1m parameters \u001b[0m \u001b[0m\u001b[1m 2.5% \u001b[0m \u001b[0m\u001b[1m 25.0% \u001b[0m \u001b[0m\u001b[1m 50.0% \u001b[0m \u001b[0m\u001b[1m 75.0% \u001b[0m \u001b[0m\u001b[1m 97.5% \u001b[0m \u001b[0m\n", + " \u001b[0m\u001b[90m Symbol \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\n", + " \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m\n", + " \u001b[0m α \u001b[0m \u001b[0m 0.1982 \u001b[0m \u001b[0m 0.4280 \u001b[0m \u001b[0m 0.5898 \u001b[0m \u001b[0m 0.7581 \u001b[0m \u001b[0m 1.1037 \u001b[0m \u001b[0m\n", + " \u001b[0m β \u001b[0m \u001b[0m 0.0169 \u001b[0m \u001b[0m 0.0194 \u001b[0m \u001b[0m 0.0206 \u001b[0m \u001b[0m 0.0217 \u001b[0m \u001b[0m 0.0233 \u001b[0m \u001b[0m\n" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "chain2" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "\n", + " \n", + " \n", + " \n", + "\n", + "\n", + "\n", + " \n", + " \n", + " \n", + "\n", + "\n", + "\n", + " \n", + " \n", + " \n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + " \n", + " \n", + " \n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + " \n", + " \n", + " \n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + 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fYiwOtXXTMJ2qIPazn0FnB76yatov+iQXNDQAYBgGefu9JFIa1bW12CynZhXBjo6OY/4uKxV8+ctfZu3atVitVg4fPkxFRQUzZszg+uuvZ926daiqyqZNm7j11ltl4okQQgghTrp4SgPAlWNFmdhXzm41YzGbiCVSpNIaJmt2glgyrfPCoV7aBwKYYlGu+cd/wgZsu/LL9I4lOdLtparIzf6jQ8STaQo9OacsFP4lWamitraWxx9/nM2bN7Ns2TJ+8IMfoKoqc+bMYfPmzWzdupWNGzdy0UUXZaN5IYQQQnzMleY7URSF7qEghzpH0eNpnnulm1giRYHbjv09hMLRsSj7WocIhuMUeOycMauCPJf9TeekNZ1fbTnIoC8MwNmbfoHNO8JQ4zzcn78GbV87f3zutcnzFUXhwjM++J7l12UtntbV1XHTTTe97XhjYyONjY3ZalYIIYQQAqfdwqp51Wxv6uHh7c1Eo1EcDgeKonDBewhizT1e/vh8M/qfzWp+uXmQz6+ZR1XxG/sZv3J0mEFfmKJcB+tm5FL5tT8AsOXKr1JntVBRkEPLYIRYIkW+O4e1y6Yzo6rg/X/hk2Rq9FsKIYQQQpxkZy+socBjZ1/rEP1DSeorC1gxr4raE9xqTtMNHnuhDV03OHN2JXXlubzW7aWpfYRHd7Vy42VLJs/t94YAWDm/mqo7vw3hMOGL1tIzcz49B3uIRmOU5jsnz9/5ai9FuQ7mN5ScnC/9PkkwFEIIIcRHkqIozG8oZX5D6fuaADM6lunhKy1wsmZp5h4zqwtp6w/gDcaIxlM47JlJt1ZzZiVA49BhuO8+sFjo+5t/IN2bYnQsSpHLxLUXL6CyyMUrR4d54sU2tr3SNWWC4dRZalsIIYQQYkpSJv6tvMNR+PN1/xoq8gFwf/v/QjrNwJXX8JgvszSNK8dCRaGDmhIPJlVlSWM5dquZYCRBPJk+Bd/jL5MeQyGEEEKId1Gc5yDHZmHQF+JXW5pwO234gjHCsRTFeTk4J3oLARprCrkw1EX9wd0k7Q4eXH4FsUSa2bWFdA8FCUZS6LqBqiqEogkSKQ2rWcVmmRqrtEgwFEIIIYR4FyZVYcVplfzX4wc42h+YPJ5jNXP1ubPffLKus+zndwHQ9+WbWbh8PtPK86gty+M//7SPviEf9z95kPJCF0d7/RiGwazakskldT5oEgyFEEIIId6FYRg0dYxSUeRGIbMeYjSRwmxS2dsyxPTKAsymibfzfvlLOHgQamupv/Ofqbe/sZzNVWfP5r5HX2LAG2JgYpJKbVkuFy39GCxXI4QQQggxlXUMBBgKRHDYLMyoKnjTkPCfC4QTjAQilOY7uenyJZhUhXgyzXd+uYNt+7to6/fjsFlYVOHi/Ntuy7x7+P3vg/3NaxyWFTj565W1YM9nPJKgOM9BdYlnyvQWggRDIYQQQnzMpDWdB//3MJ2DYwDEEmnSmsGKeZWctaCGAnfOm86PxJIAuB3WyW30OgYCDPrDxFNpxsIJQtEktgf+E2VwEJYtg6uvfse2TapC/RRat/CtJBgKIYQQ4mNl2ytddA6O4XbYSKbSDPhChGMpHtnRQlP7CJcsm86SxvLJ81/fRWXAG6a5x0t9eT6/f66ZUCyJxWyiwG3HMTLIsq2/w1AU/P9yO4Xv0gsYT6Y50u2luduLoiicVlfM7LqiN4ajP0ASDIUQQgjxsXK0zw/A7Noi9rzWT0NFAYlUmgFviHAsydY9HVSXeCYXorZaTJw1v5rnD/Zw3xMHCUWSDI+F0XWDWVUFrJxXTcM3vo81leTFBWeRKp9OcPdROgYyPZI1pbmce3otHoeN4bEYD77wEm19flKaDsAz+zqZXVvEFy9eQKEn552LPkU++GgqhBBCCHEKReIpAIZ84wCsWzGTJTPLKStwMa08D03XaR8IvOmasxbWUlXsxj8eI5ZIoesT6xoqcLqvk9ptT5Ky2Hjwgs/y1Evt7G8dYiwcZywcp6l9mPufOEg4luLZpmE6BwJYLSamV+ZTV5aLqii09QV4ZEfLKX8WbyXBUAghhBAfK+UFLiDTc5hMpdnR1MufXmilfzSEZuhomkFH/xiHu0YJRhIABEJx+kdDNFTkc8tVZ1BR5MRqVukbHif81RvBMNi6+koGHAV0DI4x7I8wq7aIL61dSF1ZLuORBM/s7WAsnMQAZlQVcNvnVvJ/P7uC2lIPiVSa/tFMj+UHSYaShRBCCPGR5Q1GeeXoEN19Q/SGzCxpLOe8xdPofuIA/lCC4UCEll4/VosJh83Ci4cHSCY1YvEkHYMBTKrKinlVFHpyMIA5dUWcPrOcRa2D7G8ZYt6urVR1NhPMK+K3i/8KY2IbFIfdQnO3F18wyupFtXQNBRnwhdANA7NJxZ1jxWxSMZtUbFYzqqqgGzrReApXjvWkff9UWmd0LILZpFKU60BV330GtARDIYQQQnwkHeny8siOFjRdJxqNMhDs5qUj/Xzx4gV88eKF3PvYfkYCEVRVIddpw2Y14Q/FUFCoLPVQWeShpcfL9oM9k5NREhNb161Z0sBo3yiffubXADx08bXgcFDutpHvzuETcyvpHMr0HB5oGwGgON9Jz4CXRDJN+0CA3Yf7CccSDPkjGIZBjtVMUa7jpH3/A23DPPVyx+R2ewVuO5eumPmu10gwFEIIIcRHTjKt8/juo2i6ztLZlejxcZqHEnQNjfHzzQf4m79eSk2JB03XqS/Pxz8eIxCOk+u0oSgK6bSOqsD0ygKae7wEwnHMJpXWvgBPvdxBSb6TC7c+QH7IT9e02Rxafj7FqFx51kye3NPJIzta0XSDUDTB0X4/NSW5nFZXjB4P81LbGAO+MD/dtHey3opCNxcsqf+LPXrHq2MgwGO7WjGA8kIXiWQafyjO7549wsULC495nQRDIYQQQnzkDPnDxJNpqks8nD6jlJ890oGuWhkLJ/CH4vz4j3uxW02Eoyl6hoOoqsJ4JEEolkIFekfGicRTxJNpRsYiVBZ7uPjMBja/2MaLR/rJH+nnhscfxFAUmv/2nyjwOInGU5jNJpKpNNFEinRaI63pKGQWxC4tcLFkRiEz66t5am8HPcPjKAo0VORz0dIGZtcWnbTvf6BtGAM4b/E0VpxWhQE89NxrHOn20jEUZt7sd75OgqEQQgghPnJ0PfOyn6oobNrZSjShMasuj0gsxXgkTu9IkNFgjEQyTe8IuB02DAwSyTSKorBqQQ31Ffk88PQh4kmNSCzJohllVBa5OdQ5SuOGf8acTvHKykvY46ogFI4z5I/wyy2vYlYVakpyiadSYMD0ykK8wQh7mweYXgiLZpSxaEZZVr+/PxQDYFpZHgAKUFeex5FuL8HIsSe4yKxkIYQQQnzklBc6sZhVOgYzs4tD8TSHukYY8odJ6Tq+UIy0pmOxqFitZtKaRjKtoyoKZpPC7kN9PLG7DZOqoCrgsGcmhJTkOznX30blrmdJ2h10fG0j68+ZzdplM8h12iaHpFNpjUJ3DlefO4c1Z0wDYDQYPWXfv8iTeVexuccLgKYbtPb6AMhzvvPWfyA9hkIIIYT4CLJZzFx85nQeeOYwfSPjpHUdmyWB1WzC0AziyTQWs4mGinwuXDKNZ/Z20ucN4bCa0XQDTcv0OJYXulBVBbNZZSwcJ9eioNx8MwDbP3ktay9fhd1qZnZtEYO+EE/t6ySV0lBUWL2ojqWzKth+sAeAPJf9mPWebEtmlXOoa5Sdr/byascIaU0nMjHjeXq555jXSY+hEEIIIaa8QChOW3+AkUBmBu/xUBUwqwqaboAONquJuvJc7HYrhgG6pmMxq7gcNlYtqKEoLydzLganzyrjvMW1KKpCIBTn4NEhfvzQyzz/xb+F5mZ8FbW8dOFVvL7zXVrTeaVtmERSQzcMBrxh7n/yIP/wX9t4/mAPiqIwv74kew/oLaqKPVx51izcDhvBSIJIPEV5oYtrzpuL3Wo65nXSYyiEEEKIKSuZ1nh011GOdI1OHqspzeWKVY14nLZjX5fSeOLFNpKahjPHSiKZQgHa+wPohoGqgMthI5XSeHxXK/5wPLO4tALhWIotL7azVVVIpjTsVjNVxR7K4kGWP/ILAJ699lY0k5mHt7ewpLGc5w50M+gL47Bleir3tQ4y4A3ROxpiWlkeV5zVSHWJh46wN9uPbNLs2iJm1RQyFk5kAvDE+ogdwZFjXiPBUAghhBBT1paX2jnSNYrdaibHZuZIl5fWPj97XhvgkytmsHpRHVbL23vABn1hvMEYwUhyslcvmkiTSmuYFBXVpJJMaegGdA6NkdYNbGYTFpNKeYELRcn0AvrGY5hVlavPncP0b9wE8SivLTmbnvlnYtcNjvb5Odrnp98bAmDtJ6Zz+apZXLp8Blv2tPPC4T4+Mbcy65NNjkVRFPLdxz+ELcFQCCGEEFOSrhsc6hxFVRXOO30aT7zURmm+k3gqzXg0wc5XexkLx/nr1XNQlDev/5fSNEbGotitZvLddoZTKVRVQdMUdMPAoqooCuTYzNSV51Ga56CswE1TxzAzqgq4+ty5HO4c4eePHyCt6ww9uoXpv/0t5OTw7Ge+RjSR5utXLWVvyyBD/jCabpBMacyrLwXAajFRnOfAYbNgNn143tyTYCiEEEKIKSkST5LWdDxOG/uPDmIYBmuWNtDe76O514/ZpNLS62fIH6G80PWWqzNB0cDAMMCkKBh65n1DFbDbVGpLcrnxk4vxOG1YLSaeeLENRVGYWV2ISVUo8OTgctgY8QaZ86Nvg2EQ3PA3+PJLyXVYcTusrF5UC8DOV3t5dn8XW/e0E19YSyKVZterfRiGgdmk8PD2ZoYCEfz+MWZ0xzlnQS2lBc5T+0CPgwRDIYQQQpx0Lb0+Xjzcjz8Uh3SMNaqHOXUntoCzK8eK3WpmPJpkNBDBbjVTX5HH9oM9WM0m5tQVc6RrlOHA24Oh1axSmu/EF4rhHYuSTOnYbComRcFmNWNWVSLxFMm0NjkU/fqQa/dQkMUzyygvdGMzq6ze8ScKutsIlVdzb+N5AG8bGl42p5LXur0M+sI8vL0ZIHP/VJo/Pt/MeDSJArhsJnTVR3t/gC9dspCyKRYOJRgKIYQQ4qQ60DbMo7taJ3+ORuP88fnXuDBaz7I5lcd9H0VRWH5aFc/u72LQH0E3DP7j4b1YzCrzphUTCCcA8Disb7u2rNBNUa4Ds0nlaMgPClQUuLFZTdisJtr6x+gfDfHkS214nHbmTiumsbqQ/93XxYG2IYYDYZIpnXhvH5dv+x0Aj139NZJmC0sby1k1v/pN7ZlNKl+6ZCH7WgfpGR4nndZo6si8GxmKJcl12vC4bKQTCcoLXQz6wjyzt4PPXjjvvTzirJFgKIQQQoiTxgCeerkDRVFYc8Y0ZtcWsWPvEfZ1hnl2fxdLGstP6J27FadVAfDw9mZGxqL0jgaZVlbAC4f78Qaj2Cxm2geDVJV4sJrfmIRiNav81fLp/G7bERQV0MAbjOKwWyjOcxBPpAGDjsEgNkuYvS2DmSFnVWHIH6ZjIICBwoaH7sURj/LaopX0LV3FjX+1kAJ3zmQ7ybSOfzyG027G7bCxdFYFS2dV8HLzIK19fnJdTnJsFhY3llNV5ObBpw9gt2bi14AvfDIe+Un14XkbUgghhBBTXiAUJ55Mk++2s3R2JRaziVlVuZQXuUhrOiOByAndT1EUVs6r5o6vnsuaMxqoKvbQPuBn0J8JVQUeO7sP9fLbZ4/w1tUN59YVc93FCyktcJJjM5PnslOS72RkLIqqQoE7h09fMJcV86oZ8ocZ9IUpcNuZVVOAgcL8zldZ1rQdPSeH/Tf+PfFkmpeO9ANgGAZb93Tw77/dzf97bD8/+MMefv30IYKRTC9mMBIHoLwgM8QdiiaoLHYDTD6DHNvU65+behUJIYQQ4kMrx2rCMKB7OMgdD+4mkUyTTsZJ6CZybGZybMfeju3dWMwmPnfhafziyQPEk2kaqwu5YtUs4sk0f3juNboGx2jvD1BV7KZvdJxESq5t4/kAACAASURBVKOi0E1tWS4Lp5fR1jPMtKoiivOdPP1yBxazibn1JcytLaZ/JIQrx4qiwOrTazEMGBgMcO0T/wWA+o//yPlXnkP7o/vpGAzywuE+Ht3ZSp83hElVqCnx4HbY6BgI8IfnjvDFixdQkpfZks4XjGIyqbT2+ukaDBKMJEloIfLddmZUFZy0536ySDAUQgghxEmTY7OQ1nT6RkMExmPkuez4glFSOlSXuMlzHXtR6uMRiaXwOGxcefZsCiYmiyycUcr2gz28cnSQP+1sIRJPAZnexjNnV3DZykb+8yEfw/4Iw/4IiYSG2aRyyZkNAPjGYxiGgSvHhsVsIpZIc/GORygb7iVUU4/7b/8WW1IHYMAbwheMMjIWwaQolBe4sJhNNFYX0jsyzoA3zJAvwqzaIgqbehkNRonGkwz7o6R0HV3TyM91UV3i4dzT697Xs8gGCYZCCCGEOCki8RSbdrbQOThGMpVGMQzsVgu5TgvjMR2TopJK6++4IPXxyrFbIBRnPJKYDIZj4QQpTWdvyzAKBhaLCbOqEoom2H24j+I8B1evqiOuuugaGiccTeILxbj30f2sXlRLx+AYvvEYiZSO026hxD/E4id+jaEoPPaZW7HvbqfPG0Y3DEKRJLbcHErznDgdVq5bu4hfPXmQg+3DzK4rwh+K4Q1GqSx285kLTmPLnnba+8ewms1YLCZKXArnLp3N9Mr8t629OBVIMBRCCCHE+2YYBo9sb6a514dJVagocuO0WYgl09QWOXG5cxn0hRgdi06+a/dezKwqoH80xEPPv8bCGWUEw3EOd44ST2pEYkkMQ6e8MHN/BYPu4XG2vtxBXYGZohITB9uHybGbMYIGg/4wv3jyAIqikk5rREjwvd+8wDd/czvlqSTb553F5pwqlJ2ZGdauHDPFuU7y3HYKPHb8oTiRWJKKYjcd/QHaegMAFOVmhpHzXHY+de5cNN0grWnYLGY6Ojqon4JDyK+TySdCCCGEeN+CkQQdg2N4nDbqyvOoLHTz1U8upijXweh4grFwZjLGu+1vfDyWn1bFzOoCIvEUu17t5VDnKCaTSk2Jh1A0gTPHyvlLpvHJFTPxuHIYC8dpah/mQGeA3z5ziM6BAPOnlfAvXzybefXFKIqKSVU4b3E9VSUeFu3fTmPTbmJ2B0+t/yozqwtorCqgotBFSb6bUDRJOJZkTl0xAL95+hC7D/fROThGNJmiqtjztjUVTaqCzfLh6Iv7cFQphBBCiCnNH8oEv4pCN1azieYeL49sb8YbjOEPRjBbbMyoKsD9DmsOHg/DMAhFkzhzLHzq3Ll0DY7R7wtjt5qZXpnPlj3tGIDNYmZ2bTGGrjMaiGAYBnaLhcUNhWw9OExa10ikNUoKHGiagcWk4rRbmFdfzA2rp5P89mcAePyT/4clqxdz2cpGAPq9Ie7bfACL2URa09l/dAibxUxrr49EWiPHaqaxuoB1K2aiqlNviPh4STAUQgghxPtW6Mms7TfoC/H5NfNIpjUOd43gD0bRDZhWnsdlqxpP+L6GYbC9qZfdh3pJpnVMqsKiGWWcv6SeuvK8yfPKClxYzCo9w0E2/GgLugGxRApFgbn1RSxqyKd5KE5bn5+WHh8/fWQ/HYMBEikNA3jipXam3/ErKrwjdE2bw85PXMKl9jdCrDvHOtGOk/JCF239mWHjmlIPBZ4crjpn9uTSNB9mEgyFEEIIcULGIwme2ddJ+0AAXc+EowuWTKOxupCWXh+/eKKJXJcNi2qmvMjFzLIcrr1o/psmW/hDMf53Xxedg2MA1Jfncd7iaZPb0r1uR1Mvzx/oRgE8DhuReIq9LYPEk2muOGvW5HmVxW4MA5KpzIxjHdB1HVU1EYqkePrAIIqSWYD7aH+A0vwkZlXFYlaxWcxM62mh/Lf/jW4ys+lzf4PNZuZA+zANlflE4kn+tPMoA94wdWW5fHJlI+FYEv/ErOuyAudJmUjS0utn+8FuRgIRXDlWFs4oY8VpVSe0IPj7JcFQCCGEEMctmdb5n6dexTcemzx2tM9P78g4X7hoHhazyuEuL6NjUWxWlbMW1FOXp78pOEUTKX71ZBOhWHLy2JFuL72jIb66bhGOibUODcPgxSP9KMBlqxpx2CzoGDyyvYVDnaNccEb9ZE9eLJ7CabNgNimU57tIahrt/QFSaZ3OoTHCEQvRlEIomgBDYcAXprbMQzyVptRjZe1P/g3FMNi8Yh3dJTWUum2Eokl+8vDLjI7FMDBQFYVwPMk9m/Zx3SULmF17Yns/v5ujfX5+v+0IhpFZpjsYSfD8gW4CoTiXrZx50tr5SyQYCiGEEOK4HTg6hG88RlWxh/WrZ2NWFR594SgtPT4Oto1wxVmzuGRZmlA0Sb7bjtmk0tHR8aZ7vNw8SCiWpL48j8vPmoUCPLS9mc7BMfY2D3LWghoAwrEk0USKYDjBIztaJq8Px5LYrWaGfGEOj8foHRmnc3AMq8WEy2HFOx4jrRkYKKDopNIa8aSCLzSxvqGaCZ2pVJqvXno67v/4EVUDHQznl7JlzWcoctpIpHTSmk44lsRiUphTV8KqBTV0DAQ42ufniZfa+ewFp03WZADBcBybxfSeFvF+Zl8nhmFwwZJ6ls6uYMgX5jfPHKKpfZhV86snh+qzTYKhEEIIIY7b8MR2botmlE721p05u5KWHh9DE7+zW82T+wG/k9e3hFsyqxynPROizphVTufg2OT9AZx2K4HxOP5QjMLcHOrL8+n3hugYHMNqVtmyp53AxKSXYCRB78g4VouJOXWFDPiiaJqGYUBa1wkl0uQ5bSTTZlRFwWpRicQ1XnziBW7+5U8BePCKm7j+mlXkuWxs3t1G+0AAV46VpbMr+NS5czPfe3opdzy4m76RccYjCfY0D/Bqxwg9w0FsVgsOm5m68jz+atl0Co4zzKU1HW8whtmksmxuJQqZofHplfkc6hxlyB+WYCiEEEKIE2cYBl1DQYYDEdwOK6a0dlLv/3qQ+/OhZG8wCoDLfnw9ZW/cI/5n98jcz5Xz1nsYoIBhvPGzAsSSaUYCEcoLXZyzqI6ugTHuf/IgiWSarsEgaU1HQUFVwGpWSad1PLlWLBYV/3gcTTMIRpOc/z+3Y47H2LloNaWfuoLTpmWWoVkxr5r2gTHiyfQ7fodkSuNnj+7DNx5nwBvGwMBiSlCS76RrcIwH//cwX750EVbzX17M22xSybGaiSZSBEIxCtw5GLzxjF329zaT+73ISjDcv38/Tz/99OTPq1evZunSpQC0trayZcsWGhsbWbNmTTaaF0IIIT6WEqk0Dz5zmJ6R8cljRjrBF/NKqSnxnJQ2ZtUUsetQH7sP9zMWimM2qRzp9gIwp+743rmbVVPIvtYhnnulm2F/GIDXun0oisLs2mK6Bsc40DaMfzyKphvku+wYhkFbvx+A4lwHY5E4qbTOjKoC+kbGGQlGKHDnMBaJMx5NkWNVsVlNpDQds2Iilk7TMxrCqio4HFYcdgun7XySee0HGXe4efDiL/HpsjeeUSSexG41EU+aONrrZ3tTD2X5Lva2DGAYBpFEChRQVYWKIhezagrpGw0BCoW5drxjUdr7A8f9HuLs2iL2tQ7yqyebmFlTyJA/zKAvTJ7LTkXRe18Q/ERlZZrLCy+8wO7du8nPzyc/Px+7PTPDqLm5mbVr12KxWLjrrru4++67s9G8EEII8bG0dU8HPSPj5LnsLJtTSV1ZLrGkxkPPN5NM6yeljYoiFxef2YBJVTjS7aWpY4RkWmNBQykzjnNHj2kV+cyuLcIfirL7cD8H20fQNJ1lcyoZ8of476de5ZW2YdoHxghFkwTDcc5ZWMunz5/LNefPpSjPgaIo+EIxntnbxYtH+mnt9ROMxjEMcNjM2G0WCjw56DqEYgliKZ1YIkVKN5hZXUi0t58vPv3fANx3/rUMKDb+80/72fZK9+Q/ZpPK6tNrQVF47pVufvvsYdr6A+TYLDjtFhSg2OPAabdw5VmzmFVTiGHo5E0s4v16T+rxuOCMeqaV5xGKJdnXMkj/aAiP08YVZzViMX8EZiUvWbKEr3zlK286ds8997BhwwZuuOEG1q9fz4IFC7jlllswmd77nolCCCGEyGjtzfSofeGi+eQ6bRiGwd0P+glFEwyMjr9p3b/3Y0ljOTOrCzh4dJidh/qIxpMcbB+mtc/PBUumsXB66eS5wUiCXa+NsPNoGFeOlTm1Rew81MuAN4zDZmU8ksAXjFKU52Dnq710DwdRFch12rFZTSiKQjSe5n+eepW5dcWE40l03aAo10H3cJAx4iyaUUYsmaKtP0AqrTEWSWNLWijOc1BZ7CKR1PCOR9E1sJhV9jYPcNPm+3DHQrTPP5O+NeuwjoaIxJI89sJR8lyZYHfGrHIuPnM6S2aW09Q+TDiWoiTfyRmzK/jpw3tJptLkumyE40m6hoPouoFhwJA/855kvvv43wu0mlU+d+E8ekbGGQ1EcDlsTCvPPa6h6JMpa8Hw1Vdf5ec//zmLFy9m0aJFADQ1NXHNNdcAUFRUhNPpZGhoiMrKymyVIYQQQnwsaLpBPJXGpCp4JnYXURSFXIeVSFAjHE+d1PasZhP7jw6RSmvkuuw4bGa8wRiPvXAUp93CjKoChvxh7n/iIOOhMA5Hpv1n9nVhs5hoqMijrjyzY0kslabfGyLPZWc8ksCkKlQWuUmmNDTDIKmlGQ1qHO33U17gZEljOf5wguFAGI/TRmufD8gsPj3sj5JIp9F1nWg8RV15HrpuEI4lwKLgdlip3bOdlUd2oTmcvPz1b2NNmagodE320p29oIZpFfmTw+/VJR6q3zIUX1Pq4Wifn7FoglAsyX2PHyCWSKHpBpXFbgrcOUyvzD/h51pT4jlpw/7vRVb6Jmtra6mvr6e/v5+rr76an/zkJwAEAgHc7jfGyT0eDz6fLxslCCGEEB8rJlWhKNeBphvsaOolkUrTPRykZzTTe/XW/Xvfr7b+AMFIgpoSD1+/aik3XraENUvrMQyDl5sHAHjypXbSmk5DmYvPr5nP+YunEYklGfSGMJtUWnq8xONJDAMUFFBA143MxBFFwZljpbrEjVk1YVZVCjw5LJxRxiXLpoNhUF3s4ZyFtZw2rZgFDaWcs7CW6hIXpXlOaktzqS31gGGgKuBxWCn05FBjV/jyE/8PgK2f/BLPB2DQF6bfGyKR1ugeGiMcS/3FcHbxmQ047RYi0SSptIY/FCOWTJPnslNe6OLqc+e868zsqUoxjDfm+WRDW1sbq1evpre3l3POOYfbb7+d5cuXAzBz5ky2bdtGZWUlO3fuZNeuXW+7fv369dksTwghhPjI6PVG2LJ/kLf+r31WVS5nzS05qW3tPepjf4efJdMLOb0h825hOJ7mgec7cedYuHpVHfc/fRRFUfji+dNRFYjE03znt02kdZ2aYhehWBp/KIHVrFDotlFd7OLlo1503cBiVqkpdlFVmMO+dh9mk0pFfg6KAl88fzqvtPvZ1+7HMAzynBYMRSEQSqBjkNIgN8fM/Lp8ekbDtPSHCMfTOK1mPvvQf3DO3qdprpzJ333uO6AoKKqKoesoioHNklnO5pzTSrlgUfm7PoNESuNwTxB/OInVrFLssVOWbyfPaTkpO6FkU319/Tsez3qUtVgsaFpmqvz8+fPZu3cvy5cvx+v1EolEKCsrA2DlypWsXLnyTdfecccdxyz8VOno6PjAa5gqdUgNU6sOqWFq1SE1TK06Pq411NdDdVUVzx/sYSQQxZVjodwNnzx3MSb15AaV3pCZZNsYrUNxzphfQG1pHvtaBnE4HNRW5FM/bRou1yC6YaDpBtNnNPD03g5U1YQJhXnTyxkNRNjTPIimg8ft5KrzFtA+9AKjwShpw2A8rjEa1rGYzMyqK8LjsOINxsgvruCSymqeO/K/jEeTDIwlJusqL3BxwZJatr7cwcMv9pNMpTPrFpoV5nQe4ux9z5A2W7j3spswUDK9lbqO2axSXuAilkgxFo7z/JFR5s6sYeW86rd990g8xb6WQfzjKQqLijlvWenbtvI7lqny3+axZCUY3nbbbbjdbmw2G/fffz833ngjANdffz3r1q1DVVU2bdrErbfeKhNPhBBCiJOoviKf+oo33m3r6Og46aFwe1MP217pIhCKMzIW5Z9/sYPyQtfkjh9LGstQVYWaEg8dg2M89coASZObHU19qCYFi8VM30iI0WAUwwDNMAiGE2w/2I2mZ9Yf1DUdXzBKNJakpMDFgumlvNI6hElVyXPZ2HWoj5I8J0W5TvLdNkDBG4xgNZs42hcgHE8ST2Tea7TbzFTZNb7w0E9QDINN515N3hmL8PT6GI8mMKkqVcUeijw5pDSdeFIjrek8sr2FWTVFFOW+MYlkyB/hv7c2vWl9w92H+/jr1XPe0zuFU01W3jG84oorsNls6LrOT3/6U2677TYA5syZw+bNm9F1nY0bN7Jx48ZsNC+EEEKILOkeDvL8gR6sZhNrltZTV5aLbhj0jIwTi6e46MwGZtVk1u675BPTcdgt9PuiPLKjhSF/GLNJ4eIzG6grz6PAYyfHZkZVFXRDp61/jGRKw2RSMKsqKArxtMboWJTn9neR1nQWTi/BbFLpGx1HVRW+sGYeX113OotnlpHvzqG1z8e2A934gnFUFfLddgpzc7jgoZ9T6Buis7SOp1dfycVnNjCvvgSToqLpBpquU1HogYnlbhw2CylN49WOkcnvntZ0fvanfTT3ZPaCdtgt1JbmktZ0/rSzBU0/9pJAwYldUvYe9dHS6yer7/G9D1npMTz99NM5/fTT3/F3jY2NNDY2ZqNZIYQQQmRZW38AwzBYcVo1Zy+sxQB2NfXyxEttLJxeytJZFZPnFrhz+NrlS3hi+wFUu5viPAf9oyH84zGWn1ZNfXkuvmCM8UgSd46NtKaBopDrsnHj5Yt5fNdRWnv9RONJ2gfGWDGvivMXZ4ZhzRO9oKPBCA/vaCEaT9La5yccS6MbOnaLGYvZjGEYrE32cf7LW0mbzNy99iZGwyke2dHMwhllvPTaAGgG/cMhvGNRVEUhremYTQqJpAnfn61F+PD2Zlr7MksCleRbiMZT9MSD5NgsROIpRsdilBU43/bMDneN8uiuVlJpnWg0SvNQnKpiD5+9cB7WU7hG4fH48E2XEUIIIcQHJjYxPOuZWMT59X197VYzidTbt9+zW80srC+gvr6etKbz31tfpW90nM27jwJQmu9i4XQXigL7WwZJazpus5X/2fIqqbROjtVMIpUZth0ORHjhcB+rF9VSV55HS6+fXz99GKtZxW41YxiZZXRS6Uy7NSVuBnpGWHTPbSiGwe8/cRldJTUousGRLi8t3X6sFhO6ZqAZBomkhstuwemyEU9oROKpyYXBm3u9bNnTQTyZxmGzYLOY0I3MFoQD3hD5bnsm2L5FKJrksYlQOK++hHQ8xFDIoG90nGf3dXLRmQ3Z+Gt6z6ZWTBVCCCHElFZemFl2bs9rAwz7I/jGY+xo6gGg4i8siWM2qVy9ejYVhS7iyTS6YbCgoYTPXDCXWCJNnseO027BYlYZCUQZ8IUIxVKZ9xB1nbb+AE++1IauG5zRWEFdaS5joTiDvjDesSiKAnNqi7CYVWKJNCgK67f8ilL/EJ0ltfzhE5ehKEzOPE7rOtFECtUMqqKgT2x1F46lSKY10mkNk5IJf49sbyGZ1nDlWPA4bUTjaeKJNF2DAbzBKBaLibKCt3//3pFxkmmdxupCLl/VyOKGAj517lwAjk5s8TeVSI+hEEIIIY7bgoYS9rUMMuQPc+9j+yePux02PnFa1ZvOTaY0/KE4kUSmxy+aSHHPpn2Z9xETKRRFYSwcp3N4jFAkSUNFAZVFHo50jhCNpzCAZFqjwJ2DzWpidCxC11AQfyhGUa6D8iIPuqFnZj4bBhjgclrJc9rxhWKo23dw8b7MEPIPLr2RtMkMhkE8mSYzEm2AoWBoYDKpKIqBYkAioWW6Qg2DbQd7KC9yMxZOYDapzKktJBhOYijQMzxGJJ4i12Fn7ZnTMZve3t8Wm5ik4ppYdDzzrDKfY4n0287/oEkwFEIIIcRxM5tUPnfhaexo6qWt34+uQ21ZLmcvqMExMSvZALbtz+xhnNYy79XN609iNZk43O3FalIpyXeh6Roj/igHxkcoKXBQV5rLyFiYQDiJgTG58LXFpPC5Nafxg9+/RCqtExiP88j2Fl58LXN/k6pis5iIxJLsbR7EalJxpBJ87bF7UAyDP6y4gs7i2swXUDIF6oaBggGqgmpSsJpVZlTlM+iLEI4lUVWFeFIjldLY8lI7mqaRSuk0dYxit5pJazqxhIZZNXH2whrmN7zzOpGv96LuOTLAaCBCcDyIvm8UTTeoKHK/4zUfJAmGQgghhDghOTYLF/5/9u48zK6qTPT/dw9nHurUPKaSVGWeBwghCQFiRKAN4IDQYtvX1sbWdmiVvtL+buNwW1vp1r52t7ZzazeDQgtiUAIEAiQhM5mTylSVmsdzqs68z57W749dlCAZECSgrM/zhKfOPnufZ+29+eN91lrv+17cwlUXt3CsO0Vbl7f/rrE6xsWz6tl1tI8tB7tRVYW6igg9psGp3lFOD45h2y4Xz2rgnZfNpFiy+OGv99PeP0o6V2Lb0T5O9qSwbAtQUBSBpiqM5gx+uH4/CAVNhbueOMxQKkcmX0JVFIqmTXEkNxFMmqrK3zx9N7Vjg/Q0tfLQ6nejOC5CKBOdULwahgqqABDoqsrIWJF0roRpO+ial9yiqSqW49KXyqMg0BRvGdq0HFzXJRwOcMtb55/1WdVXRomF/ew5PsCp/lEcx0HTNPy6yvvftuCCvK/fhQwMJUmSJEl6RTbsbGfn0d6Jz21dI+w9PoBpe0kYt6ydx9T6BEePneDxQ2MUOh1UBRa11ky06GuuidM5mMa0HQ63D1IoeQWplfHgDbwOIyWrgF/X8OsKmiJQNRWfrtFQFaEvmadYshCuF/gt6tjP6h0bsHUf337Hxyk43pIx40ViXIE3c4hAoGDZAjWkYLsC03ZQFC+JRdc1fLpKfzKLEAK/pjGpNkbJcgn4NVIZiAZ9PLHnNPGIn7lTqkhEX1zoOpUpki2Y1JZHSUQCFAp50PyoqsK+EwO0NiRe69f0O5GBoSRJkiRJv7Pe4Sw7j/bi11XWLJ1KPOxny8EeeoczjKQL1FfGmFJXBkDApzGpJk7gWD+m7bDxudMoqkLRsDjaNYLrQjCo4bqComnj82loikKhZGE5YrzFn4IQguryGKBQFQ+RzhkEfD7KIwFs20XRwZ/P8vGH/wNFCO5d/R6OxhsRtgOKAEUFIdA0Bcdx8WYlAaEwljUQCggXdF2ltbGc8lgIIQR7jvejqyrTmyuJBH1kCyYNlVFyBYtswWTrIa+u49P7Orlh1QzmTKmeeE7dQxkALlswiRtWzaC9vZ3qukb+5f6ddA2lL/h7Ox8ZGEqSJEmS9DvrHA9qls5smKhdWB4N8d31z2E7Attx6RhI01KfwLRdugbTVMRCZAoGHX1j3LfpCLbjMpotEfRpJGJBls+p4qn9nSjCKyatKQouoKKiajC5Nj5RPqY8FkRTFIZGc6QyBo4rCAd9/NXGn1CRSXK8aSa/uHQdZeEAyZwBwvVKsajPB4WgKIKgz4fjClzhjVnBC0RPD6RJZgw0TUVFQddUNFXhz66aTyIa4CcbDmA5DuGgzrpLpzM4mmffyUHWP3uSqfXlhALjIdaZms6M91EWb8Aq1zIwlCRJkiTpZRsczdM9lKG9b2wiSHueGF+qrRkv8nzPxkPUJCL0DIyg+4PMb63B71M4cGqY0WyRbMHCFQLXFbT3jRH061SXRTjVl8J2HRDejF7Ar3PNshZG8yanB7x9iqd6x0CBTN7Cdl0QCiuP72Tl3k2YvgA/vOlTaLqPsmgAy3HIFkuggOs+H415wZlP11izYBKRoI+th3oYGi145xdK5IomAKGgj6l1CUzL4TsPPUc84mf3sQEU4B2XzeKSOY0AZPIl2vvH6BnOML2pAoCm6jiKonC4Y4iaRBgjl2fz8TYAJteWvZav6hWRgaEkSZIkSS/LY7va2XGkFwEYpk3PcJbHdrUTC/uJRwJsPdgNwPI5TQR0le1HehlI5TBtl1lTy1m3YjrRkJ/JtT38z9NHMEwHXddQhSCVs9h/cohgQMevqbiuC4pC0K8TDugomopwXVRFoXs4Q96wsB0XIQTCFSTyo/zZA/8OwE/WvI+uWA2aqhAM+IiF/OQNE0VVUVUF23VQXC80DAV1/mR5Kxt2tRPw6xNt7UJBP9GQj2TaoFiyqa2KMqkqxt4Tg4xmDRCCyniYNUsmTzyfcNDLyn5hoe/KeIgrFjWzaW8nG/d0UCgUCIfDxMJ+rrp46oV5cb+D8waGuVyOxx57jH379pHP52lsbGT16tVcdNFFF2J8kiRJkiS9ARw5Pcz2I734dJUFLbVYjku+eJqBZI6Hth4n5PdCiop4iCsXNRP066xaMIlUpkhyqJ+5s6YzljM43pOidziDpqqUR4O0Npbz1otaeGBLG8+19VMwLGJhP2FNwXEETTUxRsaKPLHnNKoCJdtFUxX8Po1Y2I9f1xhM5fj4r79LvJBlb8tCHl5yFYppEfLrGCULy3FxXRCui6J43T0U1ct6Hs0YfO/hfeiaimW7E7UI68ojlMeChHw6Q2MFegbTfPjti3nbslayhRIPPnOM7uEMj+5s55I5jQym8rR1Jb1OML9VhuayBc00Vcc51DFMb/8gc6Y3s2xWA0H/G29+7qwjymQyfPnLX+Y73/kOmUzmJd8vXryYr3zlK1x99dWv6QAlSZIkSXr9Hev2unRcdXErS2fUAZCIBnhkxykqYkGm1CVoqo5z0cx6fOP9f/261w0kP6axYccpdh3r91rIJbOMZUvUVkS5cvFk5kypQlNn0zWYYXgsTySos6C1lh2HehlIpTXCVAAAIABJREFU5skbJq4ATVWojAeJh4MsnVnHqb4xkpki1+7fyMWn9lIIRvjROz6OpqvYtouua4zmiuRLlpd/rCgT7fNUTaVomNiOy4meFNXlEUzLwnEF1eVh/tfVCyiPhzjRk+SHv9pPzvBaAWqqQiIa5G3LWvjPR/az7+Qg+04OTjynlfMnUR4L8tum1ieYWp+gvV2jpaX5tX5dr9hZA8NvfOMb3HnnnSxfvpzrr7+eOXPmEAqF6O/vZ+fOndx7771cc801ZLNZotFzt8CRJEmSJOkPW348MHph0FMe9VrYzWiq5PpVM8567aHOMfZ35dE1ldaGCizbJZU2GEhlyY8HZwc7hokEdcY0HVVVaOtKEg750DWVgF8jVzTRVRVVUSiLBrjq4lbue+oIw7v28b5HfwLAhr/8LB/+6Doe39PBzrY+wgEffp+GUbJQVZWAT2fu1Gref9U8frHlGPtODGKMdyYZGStgWg6261IsWhRNm03PHGVXWz/FkkU6V2Ln0V6Wzfb2EzZUxfjwdUvYfKCbodE8kaCPRdPrmDul6rV6BRfEWQPD1atXs3v3bpYuXfqS797//vdz5513cs899+Dz+V7TAUqSJEmS9ProHc7y9P4uBlI5kpkiBcNi26FeqhNhLNtl17E+AOorI+f8nRN9GUDjPVfOZlpjBVdli3zm2xsZzRp8+6G9NGw5ie04ZPMW5dEAoxmDkuWgqgqhgI9QQGdydZzeZI68YXOyN8VH/98j2EWTr/78mwStEk/NX82WmZfStaeDSNCPpqiYlkN9VRTTdigaJrquc7InyXcf2kPRsilZNpqmomugqTp+XcHKOuQMk3+6dxvPp6nomkpdRZQNO9uJhgLMGQ/+qsrCvOOyma/hG7jwzhoYrlmz5pwXhsNhPvShD/3eByRJkiRJ0uuvdyTLjzccmEjG0DWV0azBloNdnOpLTZxXEQuyaFrdOX8rV7RRfdpEC7jyWIirl7Xy4OZjmJZN30iWgF+lKhGlYJSoD8UYTOW8QtdCMJo1SKaL2I4LCK+DCYJbttzPjP6TjMQr+d5b/hxrKEPfSJZ4xI9AEPDr1JZHKI8G6RtOMXNyPZv2ddKbzKFrqhf4CUFdRRlT6soomTbHekYYHC14Ba19Oi0NCd5/1XyKps36Z0+wq61vIjD8Y3TeXY9btmxh69atL75I15k1axZXX301mqa9ZoOTJEmSJOn18fiudhzXZfmcRlbMa2IkXeSuxw/SO5xFURViIT8t9QnWLJmC3/fiWEAAxZI10Tu5POonXYK9JwZZMbeRXNFiaKzA1PoENYkwPSNZLMvx+hHbLjMnVRD0aXQOZjAtB9N2EEKMtzlWUIBZvcd4z7O/wFVUvn7DJ8iGoqiWg8CrR9hUHSfo14hHAkytT/DL4VH6kllCfo1Cyaa+MkrvSBbHFVyxqJlrl0/DcV3++Wc7GM2WiAYD3LRmNldd3AI8v5R+gmSmeEHfw4V23sBw48aNfPGLXzzjd9dddx0PPfTQ731QkiRJkiS9foQQDKTyCAQhv4/Hd3cQDviYXJfAdQVvXz6NxdNfOkto2g5P7e1kz/F+LNslFNBZNb+ZRS0VPNM2xhN7Oth6sBvTdhhM5TFMm+HRAkXLRkEh5LcpmDZHO1MgXAzTwpuwFOM1oRU0VSFULHDb+n9HFS4PrHonx5vngO2ML/0K758Co1mDZ/Z1YZgu0+pjHO0rUCjZ+DSVeVOrsWyH/lSewdE8mUKJgmGTL5qoiteTuXs4g+14mconerxZ0sqy0IV6Da+L8waGa9eu5ac//SkNDQ2sWLGCbdu20d3dzfz583nggQfYvHkzl1122YUYqyRJkiRJF4CiKOi6Slt3mkftU/h1jbxh0TeSJRTQsF5Q2NowbboGM5QsmwPtw5zqTaEA4YCPQsni8d3tzJ8U5l2Xz+LJ506TyhQplmwc16U8FqJglKgsixH06yQzRdJFk4FkDhtBWSiA7bhYjlfT0LZdhOvy0cd+SM3YMCfrWrh75btwXC/jWFUVEBAJ+RlJF/DrKqbtsmlvB8J1mFxfzuTaOO9cPYulM+pxhWBoVwcHTg7SPZRBCMHgaIFI0EddZZTe4Sz/+vNdREN+BkfzACydUf86vZUL47yBoeu6JJNJDh06hK7rOI5DXV0dH/vYx9i/fz/79++XgaEkSZIk/ZEpmQ624zKWKxIO+BlI5cgVTfKGwvptJ1AUhbJIgF9uPU6h5HUf6egbozIe5nPvW0FNeYQTPSl++uQR9rWPcsOVS5gzuYqSZfPYrna2He4lb5iM5U18uk7OsEimCyhCYLkOritI5w3i4SCqpjKjqZz9J4dYdegZLju0GcMf5J+u/ySmooLroigKmqKg6RqqoiAUwfypNVSXhXli72kyJZOhVJ5b3754IrhbMW8Sx7qSjKSL9I7kQAj8fo3JTeW8+/LZbNzTTt+Id99+n8YViyYzb2r1eZ7cH7bzBoa7d+8mnU6zefNmLr/8crZv3046nWbv3r3U19eTz+cvxDglSZIkSXqVMoUSXYNebeKm6hiJ6Evr7T3P71MJ+XUUVPqSOXyqSiIaRNc0SqbDr7efZHyCjin1CUqWw+n+MYolk87BDDXlEaY3VXizbfk8OcMiFvIT8OkMJPOc7k8TCHhBnGW7DI7lMU2baNiPX1cpmV5w6LgusUiA9r4xKof7+PCGHwLw3bd+gL7y2vE9hwIhwHFdXCFQFD+KorD/5CCG7RDQNXyaN9P56O4OaiqiTKkro6U+wbuvmM1ju9oplryyNTXlEa5bMYOGqigf+pPFpPMliiWbqrLQRPHrP2bnDQxXrVqF67ovylLWNI2VK1dy5513MnXqG6+diyRJkiRJL7blYDc/f7qNXNFEALGQnxtWz+DyBZNfcq4QXqDVXFtG0K+haSrXXNxCuliirTNJXUWEY90phBCsmNvEu6+YTTJT5ER3iqGxPPvbh5jZXIHrCvKGiRAwPFqgZDrsOdbHjqO9FE2vT7KuqRQtG9O0ESiUTJvAeEBq2DZF0yIY0Cjmi9y+/t8ImUV2zl3BM4vXgO2iqwoBvw9NgaLp4ApBKlP0ClqjoCgKQghKlkNVWRghBL/efpKP3uCV41vYWsu8qTWMpAsEfBplkQCKt6ERgLJIgLJI4EK9ptfdeQPDZcuWce+99/KlL32J9vZ2WlpauOOOO1i0aBF33XUXl1xyyYUYpyRJkiRJr1B73yg/fmQ/huUQC/kBGMkU+K8Nh6gvjzJjUuWLzs8WTCzHpXc4i2nZJGJBNF3lRHcKRVForCnj8OkRAKrLvRqGFfEQDdVROvpH2bD9BFsOdOI6wqsTqLjc9fhBBlM50nkTVfU6kIQCOkXTJjuWx8sxcUHRSUSDKEDXUAbbEeSKFn/65L3M7D3BcKKG71z3UWxXgICAT6WqLEwmb6CpLo7l4gKqAtGIn8bKGMPpPCXTwShZE3sZDdOeaEmnqQq15eeuxfhmcd450SeeeIJ169Zx8OBB8vk8Bw8eZMGCBfz3f/83a9euJRaLne8nJEmSJEl6HT22qwPDcmhpSPB3t6zg7963ktaGckqWzaO7O1507kAqz7d/sRujZFMsWWSLFh39ae55/DBF02b25CpOdCcJ+DSCPo3DHcP0JbPcv+kou470UbIcTMslnSuRKZiMZg00TSOdMxjJFMkbJiXLQVM0hJc8jAIgBKqiML0xwfUrZpAtmAjhZRgvOX2Q67c9hKNq/PP1HyejB73vFG8mMB7201wbpyIWRNO9zOVo0AuAk5kCjdVlKIqC5Qos20FVlDfFsvArcd6nsnnzZt7znvdgWV4rnLa2NtasWUNPT89rPjhJkiRJkl69gfGM2mWzG2muLaO5Js6KuU0ADKVyLzr34W0nMG2XhdNq+dR7lnHJ7Hp0TSVnmJQslyOnh8nkSyxorWVaUznDYwU+/6Nn+OXW4+QMEwVBLBKgsixCOOhDUbwZyHgkQGVZiFDAhwLkSiapbHFiSRnABQolh037O8kUTUChzszzsQe+iSIEd192IycmzeKimXVUxL2yMY4ATVeY1pjAEQKfpuH3aTTWxKivjBL068RDPnQdjJKD4wom1cRkYHgW530qs2bNYv369XzgAx9g//79XH755YyMjLBixYoLMT5JkiRJkl6liqi3R+5IxxDF8ZnAQx3DACRiv6nLZ9ou/SNZ/D6Nd142k0XT6rjt5ktZs2QyVWUhKmMB6iujrFkyhZvXzOGWtfOZWl+GaTugeN1RGqri/O3Ny2mq9oIyBYVcyeZEbwrDcCiWLIqWjerNE+K6MB4XoqsKuYJJMlPEdQUagr/91beIZEbZP2U+/3PJ9WiaygeuWcTn3rvSq20oBEc7kjzxXBeW7TCjqZxQQKc/mSM2vl9wz/F+LEug6wqxcIBrlrUykMqTLZoX9D38ITjvHsObb76Zvr4+PvOZz3Dffffh9/tZv349V1111YUYnyRJkiRJr9Jli5p57uQghztG+LvvbwJgNFNEV1WuWNh83uuDfp26iijvXTuP5tqyieO6prKgtZbTA2mqEhGePdSNrqtMbypHUxRM08Yeb6lXNGxsXYy3tcOrQa2Apqu4wtte6DgC13UpDwcZGs3znm0PMr3tOfLxcr6x7q8RqoJtOvzbg7vQVBVN1XBcl8qyEA2VUariIea21NA5MMaTezs53pX0EmmAkF/jHatn0dmf5o7/fAZNVSiLBpnZXEldeZhU1sCnacxsrmTulKoXJaC8mZw1MDx8+DBHjhwBYNKkSVx55ZVs2rSJj370o6TTaQ4fPszcuXMv2EAlSZIkSXplFk+r45rl09j0XAfJTAGEQiToY/XCZpbO/E3BZr+uUlcZpT+Z44HNbSxsraVrKEP3UAa/T6Ou8qV5BYnxjF3HcQgFfIxlDf7hv7YyksmTM7x9gs8HWQKBpio4rkCMx11lkRBCuKTzJq7jYlgO4YCPuV1HuWnz/yAUhZ/+r8+SjlWA42ILl/b+MVzH23/o9+ksm9nI9qPdnOwbZXtbH35NZe7UKsayBvmiyaSaMuY2BnniYDeDYwUUBQK6RnY4Q9dgmoBfY1J1GYoCh08Pc7Knhhsum/mav5c3orMGhvfff/8ZW+F985vf5Jvf/Caf//znZWAoSZIkSX8gVsxppHMgTc9QGoBJNWWsmt/0kvPeful0frLhAEdOj3BkPPNYuILGyhj3P3WEgE9n1gtm1cqiAUDQ0T9G0KeSK7gc7RrGHc8aVhQFVVGwHRefXwNFA8XGiwwF2bwx3rHEy0SJhf1cWuNn+UP/iuY6/OrKG9k7dSHhXJFs3kIBjJIFwksgmVJXxuaDnbgCasrCoEB/MseOI31Mri2jKhGhaNr8/NkubKGQiAR4z5VzMEybh549xkDSK1OzdulUwkGdjXtOc6B9iAWtNbQ0lF+4F/QGcdbAcOnSpdx6661nvXDp0qWvyYAkSZIkSfr9SudL3PvEYQzTZlJNHAWFQsninicOc+u6JVTEflPour4yykdvWMrOo30MpwuA4FBHkiOdI96eQQWOnB6mva+WKXUJfr39JKbtks6XKJQsrzyNpqFo3lJzIhbEtW0yhkN5NECvkQUXFMXbWGjaDqrqZRLjKlTFQlz5L3cQzCQ5PWU2z93yERIoVCVCHO1MUjJtNFVFVVQqE0HKYyH6UzkWtNRw203LyRZK3PYfT2CYBYTrcvUlrew42suR0w6gMHNSjMsWTEJRFB7edhJVUUjEgsQjfua31JAtmjy1t5OuoYwMDF9o3bp1rFu37kKORZIkSZKk18BzxwcwTJt5U6u5YZW3RPrLZ09w4NQgzx3vZ+3SFzeriEcCrFkyhfueOsKGHR3kiiY+n8aU2jjTGyvYd2qQh7edIOT3UZUI09pQgW279I5ksVxvubi6LExDVYzTA2MUTRvXgb4RLwNaUZXxUjQe4QpU3UtHefsz/0PwyY0UYgl++ckvs2LxVCJBP7uO9uLX04T8PpbPbSRfNMkZFid6kziOS2U8iGk79I7kiIT8jOUM/AEfy2Y10FgV49mD3diOi+24dAykaalPIISLM74HsnI8y9l1vXHJPYa/ZePGjcRisbMWsLZtm7vvvpubb76ZQODNUxFckiRJkv7QjKQLAMyeXOUt2wJzp1Rx4NQgw2OFF50rhGDP8QF++uQR2vtGcVyBiiDg1zneM+olmpSFyeRN0vkS0bCfXLFEOOhj7pRqjnQOM1a06RrMMJIuEPLr2LbAMC3GYy4U1Vte1hQFRwhcVyBcuCx1ikt/+j1QVU5+9Zt0KzEOPHEY23EpGBaKonDLW+Zx3arpuK7g//7XFrIFE8dxeeK5TgZGC0xvrCCZLqKgUDdetLoyHsKnqaAIBlI5vvvL51AUhZF0EQDTchlJF+gayrDjSB8AU+rKeDM6a2C4detWvvCFL3DRRRdx3XXXMWfOHMLhMAMDA+zcuZMHH3yQwcFB3vWud8nAUJIkSZLewMrHeyJ3DWaYPbkKgM4Bb69heezF/ZJ3HxvgkR0n6R5M47gCBRDjbeUcx6HkCpqqYpRsm1zBYmQsT75oMrUhQcivk84bE+VnCoaNZbtEAhooqpd6jEI44EMFAgEfRskib1jUmDk+dM8/obgO/J//Q/byNbhPHcV1BMWSRcl0UBR4ev9pTMdhdnMVQ2N5/D4NCzAth+eO9/Pc8X5c1yuWPbO5gr6RHNsO91AZ81NyVHRNoT+Zw3W9dnwV8RCJaIBfbDk+8QwunlXP5FoZGL7IZz7zGRzH4Vvf+hZ33HHHS76/9NJLueeee4hGo6/pACVJkiRJenXmt9Sws83rUdw1nnzSn8yhqSoLW2tfdO4z+zsneiWrqkJ9RZSRdAHDtAEFV7h0Dmcpj4bRVYOBVA5VUSmWbPpTORAKmiYQroorXEzb8eocMt7hRAG/pqIokM4VcV3QXIe/+fk3iI4lYc0a7L+/g6fv20kiFmJeSw0d/WOc7k9TMC0GRwsc7hjiuRP9FAyL2kSEt6+cwa+2nqAvlcG0XEIBndryKHuODbDn2AAA0aCPT6y7mCef62D/qWEsxyYRCTK9qYLyeBjb9rKhZ0yqYHpTxQV8O28sZw0Mo9EoX/rSl/jc5z7Hk08+yb59+8jn8zQ2NnL55ZfLjGRJkiRJ+gNRWxHhhstm8uvtJ+lPevv8wgEfV1/SSm15hB1He9l7YpCxrMGp/jEaq2LekrMjeMviqWw93EXXcMarQSi80jRXLG7m508dxXUFLi7D6QICgYJCTSJGKlsEoWJajlemRlNBgCsE2aKJTx9viafAB7f/nJmnDkJDA9xzD0OZErbj0lgVYzCVw6drfOjti/jxI/sp2Q4dA2PkihYBn860hnLWLJ7MFQsn8fT+Lp7YfZqLZtYxramCg+1DFEoWdRVRJsVdUtkivSM5qspCJNNFekZydA9niYX8zGqu5B2rZ9FcE3+d39br67wFroPBINdeey3XXnvthRiPJEmSJEmvgTmTq5jeWMHgaM4L3soj+HSVDTvb2Xm0d+K8kmlzqm8Un0+jZDs8suskRsnGcQTPR3LzW2swDK94dSwUIBj0kckbWLaXyJHOGziO67WdU0BxFcIhH5qAgmmjqQoKCqqmclXPAd7+zAOg61h33UOn7WdoeAzTchhJ5ylZDmXRIJfObeKRHacYGM3jUxVUxSYc9FFdHqF3OIOqKHQPZQj4NeqrYsxvqWF+S83EfbW3t7P+uW4ApjV62caVZSFG0kUKhslwusjPnz7KR65fStB/3vDoj9ab984lSZIk6U3Gp6s0Vf9mRiydL7GrrQ+/rvHuK2ZRXxnj++v3svtYP4ZpIYRgaDSHtwgsUBUVf0CjdyjLia4Upu0SC/kJBXyUTIuCYSEAo2R79QYdb/lZ0QQaYI/Hlqbt4tcVWrIj/PlPvwFCcPqTt/PgSJCx0wfpHkyTzBooeFsTyyJBvv3QHkIBnUtnNzCaK5EtlChZNr/edoKHtx1HCK88TmtDOQtba15y76btkM6XCPh0sgWvFd6fX72AHUf6aOsaIRrykS2YnB4YY1Zz1Wv/Mt6gZGAoSZIkSX/kUtkifSM5NFWhubaMSNAHwEAqhxCCqfVlTGv09tW96/KZbDvcjW27uCheIWoFfLpGwKdTHguydGYdA6kcgwfzJNNFwkELBQVFUXCFmMg+9haWBeUhP36fj2S2iG27aJqC3zT4+D3/SLCQY8ecFfxzeCHlnV4Lu2zRQlPAdgFHkMoU2Xqwm0Q0SM9QhpLlEA35ECjoPg3G90TqmtdezzC9Liwv5NNUgn6dkuVMZGJXxkMMjeUBaKoqo617hHS+dGFeyhuUDAwlSZIk6Y/YzhNJTm7tm6jPF/DpXHNJKwtaawiPB0/pfGmidd2vt5/Cr+soqkok6EdTvOVfXVWpLAsSDfmZ11JD11CGYsmC8YCwPBpkLG+gjAeSCnjTgyikCiZq0cKnadRURIgGfbzze/9A82AnPZWNfP2aWzEsh6GxArqq4NNV3n7pDE72jTGSLjA0msd2HAolC4BYyI8AMoUSC1qq+dSNy1EUWP/sCQ62D3H49DCr5k960XNQFIV5U6vZfayfvlQehOCrdz+L36eRiAbpS2YAqE1ELsyLeYM6b2C4ZcsW2tra+NCHPjRxbMOGDUyaNEkmoEiSJEnSG9ihjmH2taeIx6LMmVqFYdqc6hvj4W0nqK+MUl8ZJR4JMJDK89+PHaSmIsKOo30oKlRGQ9RVRPm7W1bwo0f2M5DM0dJQzsneFD978jA9Q1lURUHXNUzLoWswjVfcxkXBC+5Cfp1c0fLqFAKhgM5blkwm8YPvsPrQZor+EF97921YwbDXB9lxcG3w6z5O9I4ymMozo6mComGRK1o0Vce4cvEUrljUzPfW72VXWz+n+sb4zkN7iIb96JqKEN4M45lcdXELecNb8u4dyZItmoQCOpbj4htvrze5PnFB39EbjXq+EzZu3MjXv/71Fx37xCc+wf333/+aDUqSJEmSpFfvaKfX6/ja5dN45+pZvHftPJbMqMN2XI73pNA1lXeunkU46OP0QJrth3uxbIeQ38eMpnKEEPSNZAn4vAziobE8mXyJomETD/sJ+HVa6xNEgn50XUN9QbMQVVGoiIcI+DUUBXRVxXEFtQf2cNV930Gg8G/rPsrV/+tabr1uCYqieGGlAiXLpb1vjEyhRDJj4LgCgSAS8PGWJVMI+HSaauKYlsNo1uD0wBhdgxmePdRDz3B2oovJb9M1lRuvmM1tNy/nfW+dx8KWWppr4kSCPhZPr+PGK+bw5ux38hvnnDG8/fbb2bJlC8PDw9x+++0AFAoFOjo6CAaD57oUgFQqxfe//31uuukmpkyZAsDx48fZsGEDM2fO5G1ve9urvwNJkiRJks7o+SSL6kR44ljN+FJpJm8A0FwT52PvuIjj3SlyRZPNgS4M08FxBQXD5P/dv5OCaePYLo3VMdTxbiWOKyiZNkc6R8BbMUa43h+KCpbt0j2UwXUFiqKiagqx5CAX33k7muvwP8uvY8fsS7musZLOvtTE+BQBtutiGyaugGPdI0RCfspjIQQwlitRVRaC8fMQEPD7UFUoWTaOK9C0c4d3VWVh3raslbcta8V2XC9L+k3aAu+3nTMw/NrXvnbGvwGWL19+3h//3Oc+xy9/+UuWLl3KlClTaGtrY926dXz605/m61//OocPH+bTn/70Kxy6JEmSJEnnUlMe5ngn7DraR82l0ylZNgdODQJQW/6bBhVBv86C8Uze5to4//XoQXJFb/nWS8ZQqC0PU1MeYcakCjbsbCcW9uHTdRzTRDBeyQa8RBVNxXGEt29RVQjoGuUBwf/+4T8Ty42xb+oC/vvym8F1+erdz5Ivml5RbSDg01BVZfx6ByEUEpEAi6fX0juS467HDzJnchXbD/d45XCEYCCVRVVVYpEgYb9OMmO87Geka+ddPH1TOWdg+N3vfpf169eze/duvvjFLwLg8/lYuHAhS5YsOecPb9u2DcMwWLhw4cSxb3/723ziE5/gIx/5CDfeeCMLFy7kk5/8JJqm/R5uRZIkSZKkF1oxt4kdBzs40D7EodPDEwkoVWUh5rVUn/Gapuo4H7l+KTuO9jEylsfv12msiDG1IUFtRZj1W0/iCoFhuiiKIODzMn0RAmU86cSnayiKi2U7uK7Adl1ufeTHtPSeJF1Vxw/e+79BaLiutx9Q/KZEIhWxEEtm1jE0WmDviQF0TaWmPEJ7f5rRrEHBsMjkS4zlS9i2S0NllLJoEAUvGWUkXUA/w4xhyXLYcbSX0axBIhpkYWstoYDMwf1t53wit956KytXrqS7u5urr776Zf+obdvcfvvt/OxnP+MDH/jAxPEDBw7wp3/6pwBUVVURiUQYGBigsbHxFQ5fkiRJkqSzqYiHePvFTRwbdugZyuDzaUxvKmft0qn49bNPypTHgly9rOWM3ykK1CTCjGYNTMshEvRTHg0ymvMKXDuuS6FkE/LruKpAOC7X736UJZt/BZEIv/7cN6ipaCJhuxzpGMIe78eMApqqUjQtth7qwbYdVFWhtiKCrqmcHkhj2g5GyWbapHIm15aRK5rYrsuy2Q0YJYvHdnVQHF9OfqGBVJ6fbe5E9QUmjm0+0M0ta+fRUCVb+77QeUPluXPn4vf7+fa3v002m504vnLlSlatWnXGa/71X/+Vd77zndTV1b3o+OjoKLFYbOJzPB4nmUzKwFCSJEmSXiPVZUEuWdyC6wqvzd05HOtOsvNoH6NZg4p4iItn1ZEv2vSNZOhN5tBVlXSuhK6qVJeFKJQsEvEgldEAyayBKwQIEELQWBXFp2vEt2/lfY/+JygKv7r1c5yoaKK+MspfXLuQe584wiM7TyJc0FSv8HVxfH8jCOLhAAtbaxhI5ZneVEHPcIa8YZIrWpiWTSzkJx4JsPeE1w85HvUTtPXxvY6/8eDmNgzLYcGUcqY1lnP5R7ufAAAgAElEQVSqb4wTPSke3NzGX7/jotfq0f9BUoQQ4lwnHDhwgGXLllEqvbjg4+c//3m+8IUvvOR813Wpra3lb/7mb9B1nR/96EesXr2a22+/nQ9+8IN85StfYcWKFQDMmDGDTZs20djYyJYtW9i6detLfu/GG298FbcnSZIkSX/8TNshbzjEQr4zLqO+HEe602w5MjTx2RGCwdEisZCPTMGamNlLRPxkChaqCpmCNV7MWkzsMRR4NQM1RWGGPcrff+tvieYzbHrbTTx6/QeoSQRZM7+ObNHivi0d9IwY+DSFyngQv64wlDYomg6qqjKjPkauZGPaLlfMq2X3iSSDYwVQFAzLIRb0sXpuDT5do2s4z1C6yGjOpLUuxrtWNBMO6OQNm7uf7iAc0Hjv5VNRFQUhBPc+c5qcYfPey6cSDb75lpRbWs48I3zeJ/H4449TKpX4y7/8S1pbWyeOr1y58qzX3HbbbWc8vmDBAnbv3s2KFSsYGRkhn89PzCquWrXqJTOQX/va18468Aulvb39dR/DG2UccgxvrHHIMbyxxiHH8MYax5tlDIZps2HnKQ62DyOEQFNVLp5Vz1uWTkFT1Zc9DscV/Gzbs0QiES6Z3UhlPMjGPR30j5ZIF21qyqOEgz5sx0W4gmAwQOdgGnd8dlAA6njtQk1TiUcClJIpPvbjLxPNZ+hcuoLIN/6ZzzRUUFUWIpU1+P76vVjCSzTx+3XK4mECukZ1RRlHO0cQAvrGvOXpgF9n89Ekg6N5IkE/lfEgg2N5SrZg56kxahIRRnMm6byNQMNwNDYeGuPD1y2mWLIJhwfxYTHtBXFM9eE07mie2vpGassvXFHrN8r/m2dz3sBwzpw5hMNhvvvd776sVG5VVfnsZz878fmpp57ipptuorW1lb/6q7/iuuuuQ1VVfvGLX/CpT31KJp5IkiRJ0iu0/tkTHO0cwaerJKIhUhmD7Ud6UVWFtUunnvNa23HZcaSXw6eHSWUMOvrTBHwa24/0ANDRP+bVNAz6CAd9fOwdF/H0/i4OnhoinS/h01QCuo4jBMWShaYqTG1I4Ngu9RVhrvzBF5g01MVwXTM/+tNPo+/q4F1XBKlOhNl3chDTdmhtqMB1BdGQn0zeJFMoEQv58Pk0hBA4jsB1BaWSPZG5XFkWor4iSiIaZCxXYiCVI503CQd0JtWUcdGMOtL5El1DGXYc7ePyRZMJBXSSowU2H+hi5qRKr3j2aJ6gX6e6LHzO5/Rmc9bA8PDhwxw5cgSA5uZmbr75ZtatW0cg4G3cnDNnzsvqfHLjjTdO1DCcM2cOv/rVr3j00Ue57bbbfqeEFkmSJEmSfiNbNDnaOULQr/Ph65ZQFgnQN5Llh7/ez+62Pt6yZMo5J3R+ufU4hzqGASiZNiPpAkJAJOxnYUs1pwfS2LaLUbLQVBXLFti2y1i+hOO6hIM+yiJBZjRXsum5DoSAmc1V9I9kmfODb3Lx8d1kQ1G+cvPt9GUhZI3xi81tlEcX0TucBmD25CoKhokQUJ3QOdmbRFFU6ivDZPIGVWVhXFfQOTiGZTgAJNMFyiIBFk+rRVUV1j97AkWB1QubWbN4Kg1VUU71jnL3xkP0jeRQgGsumcbdj+5l095ONu3tnHgGV1/Set59l282Zw0M77///okSNQBtbW3cd999E58///nPv6zA8C/+4i9e9HnmzJnMnDnzlYxVkiRJkqRxybECAHUVEcoi3qRNQ1WMskiAsZxBOl8iET1zM4qe4QyHOoYJB3ysnD+J9VuPe8vEAo53jVAomkSDPsZyBo4jSGYK/P2PnqJkevv9QFBbHiUY0BjNGOiqSq5k8atnj3PlkS38yVM/x1Y1vvGuz5BraEY3SqRzBnuODVAwdpMulDBKNrMnV1NfGWUglad3JEPJcgkHFUJ+HZ8Woqk6xof+ZBFbD/Xwkw0HSGaKOK5g0fQ63npRCz/ZsJ+gXyca9DO5tmwiwzhb9Ap7B/3equS8qdW8/aJGerIKo1mD8miAS2Y3MuVN3v7uTM4aGC5dupRbb731rBcuXbr0NRmQJEmSJEnnV1HmtX0bGi2QNywiQR8j6QKZQgmfrhIPB856bX8yD3gzduu3neD0YBpF8WoJWrbL6YE0Ps1rcacpKn0jOYTwspoVxSs+XTRMVs5vYuvBbkq2Ay7M6D3ORx7+DgqC7131AbrnXURjVYxsTuFkfw4HQSISIBTQaetK8siOkyxorSFvmOSLFrqqsri1lmsvnc6PH9lHe98Y//bz3YSCOnXlEQqGhV/XGMsW+c5Du8kbFpNq4xQMi80HuikYNpqq8Nx4lvL0poqJe66vCLHyotd/D+4b3VkDw3Xr1rFu3boLORZJkiRJkl6meDjAtMZyTvaO8q0Hd1OdCNOfzOG6gotmNpxzifT5ws6dg2m6B9MoKgR8Orbj9UnOGza246BpCqbtEPBr1JRHqIgHyeRNOgfSjOVNHt1xCtN2URWFmW6Wv//F1/HbFuuXXs2vF61FTRcYTntZxM8HllcsmcKiabV8474dHD09Qv9IjkjIz4LWGNcub2XmpEoApjYkePjZU3QPZybG7bguVWVRuoe8Y801ca5bNYP9J4fYcqCLHUd7J85dMqOO+S01r8Wj/6N23uSTM5WR0XWdWbNmcfXVV8vkEUmSJEl6nVy/aiYPP3ucY90puocyKMDi6XWsXTrlnNdNro3j11XaukYwTNvLJlYVdM1HOOQjW7QQwgXXy2wulCz6k3l6hjMEfDoBn0bJdiiUbIQQzCz38+n//Edi2TH2ti7kh295P8p4CRuvms34H0KhsTqGrqksnl5LsWSzbHYDS6bXUZUIo40Hs9mCyaneMSZVR6mIh3AFXjFrx2VGUwVrL5pKNOSnLBJAURSuXDyZ2ZOraO8bxRWCybVlTKqJv5aP/o/WeQPDjRs3vmiv4Qtdd911PPTQQ7/3QUmSJEmSdH6RoI+b1swlWygxlitRWRYiHPCd97pYOMC6lTO4+/HD2E4Wy7EIBXxMrU9wemAMAEVRCfh0dFUhX7IpWTaq4tUrjoZ96I7KpOo43b0pbvnel6jqPkV3VRP/cuNncFABZSL5RQgXoYDAxbZcbMdbrlYUaG0op7bixeVi+pI5bMdl4bQ6blozB/CKX3/tnmcZSOVprIq9JLGmriJCXcWFKzvzx+q8geHatWv56U9/SkNDAytWrGDbtm10d3czf/58HnjgATZv3sxll112IcYqSZIkSdIZxMIBYr+1p7BnOMOmvZ2c6Bygel+S2ZOrWL2gGb/PW+mbO6Wav37HEv7+B88wmitimg59ySwl09un59dVfD6NqXUJDnYM4TguLl7NQ8NyiAT8zJ5cxRXf+xpzj+0hHSnjH97zWTJqEFwvQUXXFGxHeEHceDuN/3r0IIGARsGwqIyHmFJfdoY7EuP/fUEPjnP345B+T84bGLquSzKZ5NChQ+i6juM41NXV8bGPfYz9+/ezf/9+GRhKkiRJ0htIfzLHTzYcwHEFpu0ymjV49lAPA6k8t7x1HgpweiDNg5vbqCwLkjdMDNMmlTEQQqAoAheNUMBHybRwx1vMKYri9TUWAsOyqP/J91mzcwOm7uPOmz7LYKJ2fAReJovrCny6hqKAK7xyN5liiYjwMakmzroVM87Ys7mxyltuPtGd4un9XdRVRNhzrB8hBJNq4y+rrvILPd+/2bs3WZ7mXM4bGO7evZt0Os3mzZu5/PLL2b59O+l0mr1791JfX08+n78Q45QkSZIk6WV6al8njiu4aGY9LRVQVlnHz548QnvfKB19o9RVRvn500fJGxZzplSzaHo9m/d3MjRaQCgCVdVwXEEmb5BMFwBBeSwIKDiOS8lxWHpoG1c+8G8IReE/3vEJhmcv5OLaMo52DpMplBAw3vPYIeDTEAIq4yE+9s6LiIcDEyV2ziQa8vPWi1rYsPMUT+/7Td3BUMDHNZdMe9nPoWTZbNzdwb6Tg2RzeSr2JVk5fxIr5jUhw8MzO29guGrVKlzXZc2aNRPHNE1j5cqV3HnnnUydeu7K6pIkSZIkXVgDyRwAly1sZri/h/rKKPNaqr1Zw9E8huWQNyxaGsp531vnIYCOvhQ5w6KhIkp5PMSp3hTJrIFtu6AomJaDpqnYrsvUruN8+pf/jiIEd7/lFp6cfgmRoommQnNtghO9SQzDRlFA17wuJrGQn2uWt+K6AqNkEw/7zzl7d/GseuorI+w/OUiuaFJbEeXiWQ1EguffQ/m89VtPcKRzBE1VCQd0SpbDE3s6UBRYMbfp1T7mP0rnDQyXLVvGvffey5e+9KWJ/n533HEHixYt4q677uKSSy65EOOUJEmSJOllioR8jGQKPLbjFEPJJE0DDr0jWe+7gI9cwSsA/Xw7uFSmiO0I/LpGVSLMbTct53hviv94cA+dg2kE4AqoigSJD/Xw2Z99jYBVYtPSt7Lrhj9DHciSN0xOD2aoToRpqIiRK1moQDToQ1ccpjbVcLwrSVtnEoCa8gg3rJpJPOwHIHyGgK+pOk5T9SvLLk7nSxzpHCEU8PHBP1nI2HA/biDBPRsP8+yhHhkYnsV5A0Pw2trdeOONLzm+du3a3/uAJEmSJEk6s0LJwrZd4mdZhhVCsP1IH22dKToHx2jrTBLwq0RPpykYNjWJMFPrE6QyRQCOdSe5eHYDtuOQyhqAl92rqgozmypoaUigACPZIggoDQ3x19//PGWFNM+1LOKxD/4tAVUjFNDIFV2GR/MEfRoV8RDVWpgPXL2Q2ooIj27Zz57TOVRVYXJNnHS+ROdAmi/95BlqysOoikpteYRrlk+j+fdUZmZo1Nvq1lQdoyIWYmwYpjVWEA76KBgWBcM6YzD6ZnfeXsmzZs2ira3tJd+/3F7JkiRJkiS9Ov3JHA9vO0H/+BJxeSzINZdMY1pj+YvO23N8gMd3t2PYFrqu4rgCxxEYJQddVSlZDg88c4xIyEfQrzOaLfLvD+xCVRUyeQPbFeiaxsneFMe6U6TzJabUJ7hicTPrnzjIZ+76Co3JPtprp7Dhb/+RVN4ibxRIRIIUSzbgzdTNaq7ihstmTpSPOdabAVTeffksZjVXMZIu8P/94Gnyhkl1WZhw2MfgaJ57Nx7m1nWLx/czvjrP/8ZgKj/exg+SmSJFwyLg0wnJoPCMztsr+fbbb+erX/3qS75/ub2SJUmSJEl65XJFk7s3HqJgeLUGddXr93vfpiP8xbWLXlS7b/vhHgAaKqLUlUe55pJW7n18P6rmQ1UU+lI5DrQPkogGcV2BQBAJ+DBthzlTqhnNGpzsTXGwfYhU1lteXthSzYyGBP/3ye/R0HOMZHkNX77p78j252G8ZZ4jBJGQn/qKKAG/RjwSmBiXEILBMQNLqBRLXq/l/ScH8fsUNNXP25a1sHxOEw9tPc7B9iH2nRzkysWTX/VzqywL01gdo3c4y7ce3E1AMcmYAwhgYWuNTD45i/P2Sl62bNkZeybLXsmSJEmS9No71DFMwbCY3lTBe66cg6rAY7s62HG0l11tfaxbMR3wMoBHcyV0TSUe9pPKGv8/e/cdHVd9J/z/fe+d3jSSRr1atizJvRsb00yx6c0QkiWbACkkJBD4sdk88GxYkiU5TpbAk91kU3h+Abwh3oSEjm2awTbuVW6yJMvq0ow0RdPbvff5Y4zANJNguZDv6xyO0eiWz72YM5/zLZ8PdeX5TKrKo6U/TiCSwKjILJhSSVO1hzd2dhKKJlk8q5ZZ9aXIsoQvGOPlLe1s3t+P0SBT5LYQiqWI3v4tJq1/jZjVwa+/+RAhOZ9MWh2tMxhPZTAoMpqu09Ef4nB/kG7fCJNri+gdCuMLJcjoEite2UdVkROr2Ug8maXQZaPInZu6nlRbxN4OH77Qial2IgHXn9vIM+sP0eML443HsdvtTBlXxEVzxMbZj/KJeiVfddVVvPLKKxgMBmbNmsXIyAh1daIRtSAIgiCMtaFQHIDG6sLRlnGTaj1sOdjH8Eh89DhFlnBaTYTjKfLsFgKRJM+uP8SRwQj+SJp0WqXc4+DcqdWjnUb+78u7WbGmmZc2t1NV5OSGCyYRjacp9zg4Z1o10yeUkHrgQcpe+zNpo4mHb74fX2ElRZqOLxQlkz2aGkoSBoNMOJ4ilc4iyzL7jgzR2hMgq6oU2k1kUYgk0jR3+EhnVKSjRbTHlbkB6BoMoR1tndfWG6Ak3/6Rayk/KbfDwpeXTsMXitPSdoQZk+s/tkyO8AkLXF9++eWsWbOGZcuWcdttt3HppZeyb98+MZUsCIIgCGOswGUFoGtwhBkTSpAkiS7vCAD5Tusxx86YUMK65m46B0MMBeN0DIRIpTNISMiyzKTaotGk8MVNrXQOhDAoMv5IkrbeAFsO9OHJt+O2W7hgZg3tP3yYCY8uR5NlHr3mLnYVj0cJxsio6tFGJLmC17quk8lohKMJrBYjs+vL8Aaj9AxFkCWJIreFy86ezKs7jnCoy4+OitmQK33zu1V7ADgyEMIbjJHJqhzq8SPLEvMay7l4zrhPVZRakiRK8u3EPDaRFH4Cx00MV61axauvvsqMGTMAWLp0KWVlZWzcuFEkhoIgCIIwxppqClnf3E1zh4+BQBSjQaZ/OIpELhF8r3OnVxNPZdjROkih24ISldFUmXEVHgb9MUKRJLvaBukfjrKtZRAJiekTSpg2roi1e3oYCsZIDoax1xhp/eXjTHjwn0HXWXndHWycODeXBKKjazqSLI12QlE1jYyaq3c4dXwhdy2by789uR5FklAUiCSyNFYXMn18MY/8aSt72r3YzEYG/VGGQwk8eRaGRxIUOK1UFeeRZzdzZCDE5gN9uB0W5jWVn4pX/3fpuInhgQMHmD59Otdddx179uSy+srKSoaHh8c8OEEQBEH4e1fgtLLsvEZe3Ng+Oq1sMRm4eM44akuP7TMsyxKXnTWBc6dXMzySwGE1MjI8QN348fzhtX209wV5YWNud7OmaZTk27n/5rORJInp9aXc/9ibpFWN8oO7GffTe5BVla033MamRVfgDCfIajrJTBaO9j6WZTAqCulsbo2j0aBQWmCn0zsCkoTDaiSWzBCOpcmoGjtbvew+7EXTdcaV56PrOoFwAlXTKS90MqEyny8umYZEbjr5D6/vp7nDKxLDk+i4iWFhYSG9vb1EIrnCmJs3b2bv3r1885vfHPPgBEEQBEHI1d/71nVzGArF0TSdonw7JoP8kcc7rCYc1lzh6LA/N6r3+Yum0Nzu5chgCE3L9U9+J7HcfmiA9c3dxJMZJgR6uenxf8GYSfPG3CWsu+wf0UNxKovzcDutbD7Qk+s5LOfK4ei6iq7rgE4ileXt5h6aDw9hNioUFdiJ9IWIpbI88sctDAaiaJrO+HI3jVWFKIpER3+Itl4/2axGWaFjdLdwRZETgFAkNYZvVni/4yaGS5Ys4c477+QnP/kJsizz9NNPY7fbWbJkycmITxAEQRAEwKDIlBU6/ubzJWD6hBKmTyihsdrDQ/+9gYNdfn64YgP+UBxfKE5JYJD7VvwASzzK3lnn8vwX7mJxfSmKIrO9pZ+RaAKHxUQ4nsYgS0iyhEGSSGU1NE1HkmAkniad1SjMs+GwGqktzcOiqCgGGeloHJmsxo7WAQBC0SSxZBazUaGtN8DCKVXYLUZ2t3kBKM63ffqXJ3xix00MKyoq+POf/8zdd99Ne3s7jY2NPPLII5SVlZ2M+ARBEARBOMEaqwuZ21jOxn297Dg0CLpOcTLMD1Y+hDsSpGPyHJ69/fsUmEw0d/jIs5vpHBzJrSPMDQ6S1XTQQDHJWMwGkuksNUVuDEaZPJuZploPHpeVOY1l+AZ6qaur46crN7HnsA9Zkrh8QT3xZJqVr+8nnsrgcdsYHknw6J+2YjLmah5KksTZU6pO9ev6u3LcxLC3t5dFixZx4MCBkxGPIAiCIAgnQV2pm20t/cSTOs5ElO8/9UOKAoN46yfzkxu/ixpKMqXOycHOYdrTWVKZ3E5ki1HBbDaQyaqg68iShNVkoDDPyvxJ5bT1BXA7zSw7r3H0Xr6jf5pNBiQgq2nsODRAMp3FYFAwyBLzGsvIqjqHuv0kUlnynRYunDWO8e/r7iKMreMmho899hgPPfQQ06dP56KLLuKiiy7i3HPPxWQynYz4BEEQBEE4wbyBGC9tbkPTdAqlLP/y9HKqfN30FFXx08/fR1gyQjLDtpYBPC4ryXQWWcpNHcuKjFHTcFpz3VPyHGby7BYMiozHbaOtL/CRZWGcVhPF+XasJiODgVx7vzybCZvZiNNm5sJZtaiaRjqjYTUfN0URxsBx3/rUqVOpr69nx44d7Nixg+XLl+N0Onn00Ue59dZbT0aMgiAIgiCcQLvavUQSGSrsBu546mFqelvx5ZfwLzfdTzBrxGGEbFYjq0I4nqa61I3TYiQUSxJLZpAw4w8n0DQdbzDOUCiBx23llW2HcVhNTBlXPHqv9r4gL2zpJbPFSzCSO6es0M7M+lKyqsbGfb3EkhmqilwAKLKM1fzRG2uEsXXcxPD666/n+uuvx+v18sQTT/Dwww/j8/no7u4+GfEJgiAIgvAJhGMpth8aIBBOkOcwM2tiGYUu64ceOxJLYlCzfP3J5dQc3Ekkv4h/vfkB/HY3sg5FeVaCkRTRZIZEMoOmaXzh4insahtkZ+sg5R4HPb4ImqZzZCCIjo5/JIEEVBUrTB7nAXIlZ1a+cYBYLIHNJmEyGhgMxGg+7GMw8G7ru8ZqD/WVYsr4dHDcxHDTpk3813/9F+vWraOrq4vy8nI+//nPc9FFF52M+ARBEARBOI6+oQgrXtlLOquOfrb1YD83XjAJ5UOOr/bY+eYff8b4/ZtI5xew59crGNgTRtJ0KoqcfPXKWfz8z9sIRpNksyqReBoZiWAkCYDVbCKTVYmnMjTWeJhcU4TBKHOkP0QomuTNXd0smVfHq9uPoOs68yZ6uPzc6Qz4Y/z+1b14g3FKCx04rSYmVhUyq77kU3U3EU6c4yaGa9asYcWKFZSWlvLv//7v3HLLLRQUFJyM2ARBEARB+ASee/sQ6azKlHFFNNZ4ONIfYkfrAM+/3crVs4uOPVjTmPPj+zHu30jcYueRWx6kpztXi1CScv2Lf/38TqLxNAC6Dv3DER54/C0KnFZkWaLbO0IilcVqNDKvsZxL5tYBMOCP8tsXd9HpDZFVNfwjcYwGmenj8jEbDdSW5jGxqhBV0zlnahVNNZ6T/aqE4zjuJP7NN9/M8uXLmT17Nj/4wQ8oKipi2rRpPPPMMycjPkEQBEEQPkY8mWF4JIHNYuTacxqYVOPh8gUTcv2BkxmC0fS7B+s6fP3rGP/wezS7g9/dtZw2TzXRRAZFUbCYFPyRJIFIkgKXFZvJgM1qRNN0hkIJ+vzRXPu7rMq4MjdWiwH5PSN9siyN3kaRJcwmA1lVJ57M5j4HgpEEAHar2MR6OjruiOGECRO46667WLBgAXPnzuW3v/0te/fuZc+ePVx77bUnI0ZBEARBED6CputALhF7r9Gp2Xf+1HX49rfhscfQrFae+d7POOSqxq7p6LqOxWQgo6mk0ypGRcFuMVJY42F8uZve4Sid/UEaaz1UFblorPHgspl4fHUzO1oHKXBZcdpMrGvO7T+oLnYhSRITKwto7vDx/NZeBmIGBgJRBgMx8uxmyj9FsW5h7Bw3MfzVr37F3XffTTKZW1egKApz5sxhzpw5Yx6cIAiCIAgfz2E1UeC0EIgkeWFjG5NqPRwZGGEwEMViMpDvMOYOvOce+MUvUI0mnvzGD3lVLyI9HMFgUPC4rMgySCqoqo5BAV3XKS2wM6O+lJFYFxXFLr5w4RRKCuyj9549sZQdrYM8/3Yrmq6jyBL5TisXzKwFYOn88fgjCdq6vGw+0AeA02biunMbMShi5/Hp6LiJ4eDgIOXl5aM1DC+88EKxxlAQBEEQTiNXnj2R/35lL7vbvexuz7WSkySJKxfWI6th+O534dFH0Ywm/ufb/0bvtHnQ7cdqNmI0yKiaRkm+gyODIVx2E5qu4wvFiaey7GgdJJvVmFxbRJH72PZ0Z02upKXbT1tvgFgyg65DmSfNilf2cv6MGiZWFXDrpdNZv30/Jns+LpuZCRX5mIwftiVGOB0cNzG87777+Nd//deTEIogCIIgCH+LmpI8vnH1bLa2vFuuZs7EMkoK7IS+8S/wq1+BycQLd/+I9qZ5NFYXcqg3QJHbhsNqwhvMTe/qOiTTWSxmA5qaWxMIgAS6pB9zz3RG5Q+v7SOWzGBQZIyKQlpVGRyOoUgy3mCMmxZPor6ygMpCG3V1FR8auw7s7fDR2uNHVXUqi5zMa6rAaBAjiqfCcRND0eFEEARBEE4POqBpGor8waSpwGVl6by6Yz+8/37cv/oVGI3oK1dyMFGClNVw2M1k0ln6hiPYzEaS6SzNHT4SqRQGxUBTTT7XntNANJHGYTXy+s5OgpEkg4EY5Z7c2sDW3gCBSBK3w4Km6zitJibVFrH1YD8Wk0Iqo/LWnm7qKz9+lvEvb7Wwv3No9OdDPX72HPbxlStmYhLJ4Ukn+s0IgiAIwmkuGEnyyvYOOvqDaJpOZbGLS+bUUfZxGzjuuw9+/GN0gwFp5Uqka6+lfE0znYMjdPQF0SWJTFZDIossS2iaDsgosoTFpDCp9t1SMm/u7qHbN8J//GUbeQ4zjdWFWIy5FCLfaSEUTTKxqpCFUyrZ1tKPxWQknVHxBWPoHxEe5Apg7+8cwmY2cvHccZiNCm/t6cYbiPH23h4umFlzYl6g8ImJVFwQBEEQTmPJdJYVr+zlULefbFYDJLoGR3hyzV4CR0u/fMD3vgc//jEYjfh+/nO47joAzp1eTSyZYcv+PlKZLJqmkcqoKIpEvtOMzWzEbDIQS2bYfmiArKqx9WAfmw/0kkrn+henMyrNh33sbBtA13VC0RSgMxSKc7gvAIDFZEAntzHm48pWd4gnaBkAACAASURBVHtHADhrcgXTx5fQWO1h6dzxAHQd/Z1wcokRQ0EQBEE4jTV3+AhFk1SX5PG5C5owGhRe2NjG3g4fWw70cen8CceecO+98PDDYDTCypXEZswAYHe7l1WbO/AGYsTTGdBBUWRMBgV08LhtmE0G7JbcErKXN7fz8uZ2BvxRNF1ndn0pdy6bSzyV5fev7mPAH0EC/OE4A8MxenwRNu3vxWRUyGRVjAaFSccpYP1OSZ3caGXOO+V3ZNEI5ZQQI4aCIAiCcBobCsYBmFZXjNVsxKDIzG4oA8D7nn7D6DrcdVcuKTSZ4E9/Gh0p7B0K8+KmNgLROCajQkWRC6fdjMNqYmqdhyK3jWQqi8NiYmZ9KcvOa6Ss0IFBkdG03PrB82fWoOvgtJqYMq4IRZaZNr6UYredApeFjJobfTQZFIwGhYaqAs4/zlRwbZkbgM0H+thysI/mw15e3twOQE2p+0S/SuETECOGgiAIgnAac9pzI3i+UHz0M18wlxC67ObcB5oGd9yR231sNsPTT8MVV4wef6BzOLc20ePEaTVxydw69rR72bC3lx5vlEA0MbqBxGE1UVXs5LbLZvD8xja6vCNEEmn+8Pp+3t7bw3XnNjEYiAJQU5rHtedMxBeKE0umSaSypDMqpQWOj1//eFRdmZtZE0vZ2TrImq0do5+Xe5ycPaXyU7874a8nEkNBEARBOI01VhWyfk8321r6CYQTGA0yrT25tXyTxxWDqsJXvwq/+x1YrfDMM7BkyTHXCMdSAFQUORmJpfAGYyyeVUvnYAhvMIqu69gtJuqrCoinMry0qZ29h4fo9o3gdliQJYlgJEk0kebQ79+m0GXFajZSX5mPJEmU5NsB+/tD/0SuWFBPfWUBbb0BsqpGVXEeMyYUf+jOa2HsicRQEARBEE5jxfl2rlxYz6otHbQf3dyhyBLnz6ihodQJN98MK1eC3Q4vvAAXXPCBaxS5bdAF0XgagyKxu22QLQf68IeTxBJZbBYjX71iBoumVtF82MezGw6x+UAv5R4n3752Dvs6h9l6sI8eX5hwOk2By8J15zbgsplPyDM2VBXSUFV4Qq4lfDoiMRQEQRCE09y08SVMqCygxxtG1XQqipzkGYBly+D55yEvD156Cc4++0PPn9VQxraWAbp9YRKpDIOBGBlVQ9d1jEaZphoPi6ZWHb1XMS9vbh/tZFJa6KCy2MW8xjL+vK6F9r4gS+dPOG59QuHMNCaJYVdXF2vWrCEUCtHU1MQVV1wxuvOotbWV1atX09DQwJL3DXULgiAIgvDhbGYjDdVHR9ViMbjiGnjtNSgshNWrYc6cjzzXaTVx8yVTWLOtg25vmNpSIy6bifHl+WxvHcBpNaFquV7H/nCCjKphtxiRJNh+aICzJlWgKDKxRAa7xUilx3mSnlo42cYkMdyyZQs+nw+Px8PPf/5z3njjDR555BFaWlq48sorueeee3j44YfZv38/99xzz1iEIAiCIAifTaEQXH45bNwIpaXw6qswZcpxTystcPClJdPIqhoABkVG1XT6/BGGQnF+9dwOSgrsHBkYQdd1FkyqpMs3wivbOnhzV9foCGNdmZvKYtdYP6VwioxJYnjjjTeO/vvixYu56qqreOSRR/jlL3/JnXfeyTe+8Q1uuOEGpk+fzl133YWiiGbagiAIwpnjUI+fDc09DIXiOGwmZtWXMn9S+dhvmPB6cxtL9uyBmppcUlhf/1ddwqC8G6MiS9xwfhNPv9WCLxjDH84VzG6q8XDtOQ20dPt5c3cXgXACk0Fmal0pi2fVfGzRauHMNmZrDHft2sX69et55plnuPbaawFobm7m85//PAAejwe73c7g4CAVFR/eWFsQBEEQTjcHu4b505sHR38OhBO8tuMIoWiSy86a8DFnfkqdnXDJJdDWBo2N8MorUFX1qS/rybPxtStm0jccIRJPUZxvx5NnA2DKuCKmjCsilsywp91L/3CEV7cfoanGI9YYfkaN6eYTVVWx2+2cd955AASDQZzOd9cluFwu/H6/SAwFQRCEM8brOzsBuHjOOOY0lNM3HGHl6/vYfmiAhVMqcTssJ/6m+/fnRgr7+mDWrNyawqKiv/oy6azKUDCOpuuUFDgwGXKjh7IsUfUR08PJdJbHV+0ZHU2EXBeV+U0VLJlX97c9j3DaknRd/7j+1p9aOBxm4sSJ9Pf3s3jxYn70ox+xcOFCACZOnMjatWupqKhgw4YNvP322x84/4YbbhjL8ARBEAThE8uoOo+/fhiDDF++cPzoxspXdg3Q6YtyyYwyakuOX9j5r2HZtYvSr3wFORQiOX8+g7/5DZrjr79Hx2CEtw8OkUirAJiNMmc3FTOh7OM3kmw8OMS+7hCFThMz6wqIpVS2tw2TUXWunl9Jidv6Nz2XcGrV1X14Uj/m5Wp0XScajaJpGtOmTWP79u0sXLiQ4eFhYrEYpaWlACxatIhFixYdc+7y5cs/MvCTpaOj45THcLrEIWI4veIQMZxecYgYTq84xioGHXBv85HOZCkuq8RpM6MD0r4QNptGw4RxVBQ5T1wML70E//iPEI/D1VdjWbmSSqMJXzBGMp2ltMCBzWL82Et0dHRgzSti68YBJIOZ8SUOJEmifzjCto4oUxrqKP+YXcavHxjBZrNx86UzR7uZ2J1H2Li/F83ooq7u+NPZn+W/E2diHB0dHR/5uzFJDL/zne9QWFhIXl4eTz31FLfccgsGg4Hbb7+dq666ClmWefbZZ7n77rvFxhNBEAThjCEBDVUFNHf4+N2qZiZWFTDgj+INxnA7LJQU/G3dPz7UihVw222QycCXvgSPPUZPIM5zG/YSiCSB3EaSs6dUct6MD+9J3OUd4bktPXQNtxOMJpk6rpibL56K1WzgtR1H2Livl70dQx9IDEPRJFsP9jM8EqejP4T0vt0mkpz7YEynHIVTYkwSw69//eu8/vrrpNNpHnroIS688EIAJk2axEsvvcSaNWu49957Wbp06VjcXhAEQRDGzNL54wlGk/T4wmw92A/kehYvO6/pmB2/n8ry5fC//hfoOtx/P/zwh8TTWf649gCxZAZPng2nzUSXd4S39nTjdlqYPr7kmEv0DUf471f2EYkmSWV1VE3HF4rx1Gv7GF/uZlfbIJ2DI2g6LJhSMdrFpH84wuOrm0fL2kQSaUaiSZ5Y3cy15zQQSaTZ1pJ77pqSvBPzvMJpY0wSw6amJpqamj70dw0NDTQ0NIzFbQVBEARhzFlMBr68dBpd3jC+YAynzcT4inxMhk82A5ZIZYklM+Q7zR8sb6NpcPfd8POfgyzn/vzWtwBo7w0SS2aoK3PzD5dMRQL2HRniL+ta2N3mPSYx1HWd5za0MjwSp7rQwnl1lby9r4dkMsPmA30c6vETTWRIZ1UC4Ti/fWEXX7tqFk6riRc3tZFVNaaMK2La+BIO9wX5n7X7OdA1RDKTRT46fDinoewjN6wIZy7REk8QBEEQ/kqSJFFbmkdt6ScfMQtFk7y4qZ2O/iAAZqOB82dWM7+pAh04fHiA/G9+lcJXXgKzOTeV/J4NmKFobvq4stg1WkewuiSXmAWPTi0DpDMqT72+n20t/WRUDYOkktS8KLJMOJHGH06QSGWpKnZSUmCnsshF31CY9Xu6uWj2OLyBGGajgWvPaUCSJCZU5NM7HGFvh5eyAjsl+Q4aawpprPZ8upconJZEYigIgiAIYyyravzP2gN4AzEsJgMOqwl/OMGarR3IErTsauP8B+6ksG0vSbuT5//pJ5x9wVLeW8ytyJ2rLbj/iA+bxYim6QwGYgAU57+7tvHV7Ufo9o5gsxiRJYk8m0Imq2JQZDR0dF3HYTVSW+rm0vnjMRoUfvviLvqGIyBJIEnouoam6yhHRwdlCQqcVi49q55qMUr4mSYSQ0EQBEEYY92+MN5ADE+ejdsun47ZaKC5w8ez6w+x9um13PaL+ygc7CFZWs7qf/1PWiweBt9q4ZvXzB5dt1hfWYAsy2w5OMCWg/3IkkxW03BaTHzhwsmj9zrU4wfgmkUT2bS/j1QqgSqpDI/EMSoKTpuJi+aMY9l5uSVfbb0BIDdFbjLIlBXa6R+O8ue3DjG1rogeX5geXxiLyUDpidxcI5yWRGIoCIIgCGNseCQOQF15PmZj7qu3sbqQyvb93PDI93DGRtCmTcey6mWuLi9n4LkdDIXi+IKx0R3D0UQaTVOxWYyjU8mReIqMqrJhXw/VpXkYZJlEKoMsS1wwq5ZEKsumvZ2MJBLEUxnK8h3k2cwc6vazesthLCYDO1oHAEY7mVy5YCK/W72Hlu5hWrqHgVwB7MsXTPjE6yiFM5dIDAVBEARhjBU4c91Qur0jZFUNgyIz/NiTfPEn38GYTtE2ZR7bH3yU/vXduOxe4qksALFkZvQaHf0hQOLCWbVYzAbe2t2Fw2JkIBjj7b29jERT3Hr5DIrz7Qz4o2zY08Mlc+swqnHWHwrisJq4a9lcugbDvL6zk61HdxYDNFQVMr+pHICSAjt3XDOHbS39+MMJ8uxmZkwoOWa6WvjsEomhIAiCIIyxmhI3hS4rg4Eo//GXbZzz8lPMeeI/QNfZdM4V/PriW8jvjZJnN9M3HGHAHyXPYSHPYWZdczedAyF6h8IMBqIEIgm8gRi6Dk6HOTcFbFQYiaVYveUwF8+pY8WaZtY1d7OuuZt4PI7NZmPGhBIqPC4qPC4mVOTT1hsgq2pUFbuoK88/Jl6nzcTiWbWn5mUJp5RIDAVBEARhjBkNMp9bPIkX3tzPzIcfZMb6l9AlmSN338frM5aQ7Qmg6zqDwRgj0SSpTJZgOM73//91FDgtWEwGwvEUA/4omqZjUGTMRoWRSBJN15nXVE4qrXJkIMSy8xq5+ZKpvLWnG18whkkycs6scaMjgpDbrCJGAIUPIxJDQRAEQTgJPNkEtzzyT7D+LXSrleyTT1J+1TXoKzdTV+rGaJRp7w3ispmxmG34RxKMRJNIwF3Xz6X5yBDtPcHRbiNGg4Ks6cSSGUYiSSzm3E5lgHFlbsaVuYF3WrBVnpqHFs44IjEUBEEQhLF28CBcdRW0t0NFBdJzz2GcPRtF01FkCdlkGC2U/eVLp7Nqczu72gZIZzWcNjOyLJNIpTGbjUjoIOVKyNSWuznUE6DbF6a+soCKIie6Dge7hvEeLb5t0bKn+umFM4hIDAVBEARhLK1eDTfdBCMjMHs2PPccVOQqFMqyxISKAlq6h9nb4cNqNvDGzk68wRg2sxmDkkXXNUZiKawmIxIaiqwwa2IJsWQGbzBKKpNF1xVMBoXzZtTwmxd34QvGRm+fTaewuIqYUJH/UREKwqgT1NRREARBEIQPeOQRuOKKXFJ4ww2wbt1oUviOyxdMoOToer9AJMmetkGsZgPnzqgilswwFErgDUYxKDKqppNIZ+n2RY72ME6hyDL1VYXcfvUstrf04wvGKHLbuGBmDU01HtJZlWfXHyKZFiOHwvGJEUNBEARBONFSKYq++134859z3UQeeCD3jyR94FC7xchXr5hJXbmblzcfRlEkUhmV5o4hTEYFdNjZOoiu6+Q7LcRTWYKROLoOZpOB2lI331k2jzy7mfa+IJIkcfPFU3HaTAD0DfgIpzL0D0c+sPtYEN5PJIaCIAiCcCINDMB11+HcvBnsdnj8cVi27GNPkWWJi+fUUVnkYu2uLvzhBGaDwpUL6qksdjLgjyJLMjWlLrzBOAe7hkmkMlQVuTh/Zg2ePCuqppPJasgS2Czvfr3bLAbCaY1kWh3jBxc+C0RiKAiCIAgnQCiaZO9TzzPrvm9j9/uIl5ZjeflF5JkzP/E1mmo8NNV4yGQ1jIZ3V3vNmPDuMY3VcN706g+cq8gSxfk2BvxRXt/RyfxJFfQPR+geimG22Cj3OD7V8wl/H0RiKAiCIAifUjCSZMv/9yAX/+5hlGyGrsYZPHnrfTSFrVyv60gfMoX8cd6bFP41lsyt44k1e9l8oI/NB/oAyKo65zaV43ZY/qZrCn9fRGIoCIIgCO8RiiYZHonjtJopLrBz3JQulSL0D19i6Qt/BCDxtdtJ/vP3GXp+F4c3tbGzbYDq4jzOnVbFpNqiMY29uiSPWy+bzvrmbryBGC67mWKbg4vn1o3pfYXPDpEYCoIgCAKQVTVe2txO82Efup4rFF3hcXLtuQ0UOK0fflJvLyxbxrgtW8iazKT+4xfYv3YbB9cfIp1VyaoaiZSKLxjj6bdaWIbEpFoPI7EU+44MEYml8LhtTBtfjMmgnJDnqPA4uWnx5NGfOzo6jp/cCsJRIjEUBEEQBGDtri72tHsxGWSqS9z4gnH6hiM8/WYLt10+HUV+3/Tu2rW5+oQ+H5Hiclbe8QMuvfYGUuEEzR0+JEmiutjFtYsa0NFZvbWDtbs6MRpknnp9H4FwElXVMBkV1jXnceul08R0r3DKiTqGgiAIggA0H/YCcOtlM/jCRVP41nVzKHBaGAxE8QXj7x6o67B8OVxyCfh8cPHF7PzDCwzUTGTFmn08vmoP3d4RUmkVu8VIXUU+cxvLMRkUhsMJnlyzl/beIJmsismoEImnaT7s5c/rDp2iJxeEd4nEUBAEQfi7l86qxJIZTAaZ4qPFpg2KTGmhE4BgNEnHQIgXXt7GkbMugO99D1SV9i9/k+GVf2HBOdOJJzPs7xpiW+sg/nCCkXiaxupCCl1WRmIpMqqGqkG3bwSLycAlc+r4wkVTOGtSBaqqsf1gH6qmf1yYgjDmxFSyIAiCcMaJJtLEkhkKXVYMyqcf4zAZFNwOC6FokoNdwzTV5NYBdg6GAOjxjtC9ai3X/ef3KRweIGp18Jsb7iawaDHWl/bQVF2A1WKkrsxNvsPCga5hIvEUr2w/gqrp9A1H0HWdIpeVjv4AboeFa85pAGDq+BLWN/cQS2VJZ1SsZvHVLJw64m+fIAiCcMYIRpK8sKmNzoFcwmYyKJwzrYqzp1Z96msvmFzJqi3t/OnNgzhtZuLJDKqmUVuah/bL/+LW3/8cJZuht6aBF+5+CJ81H5MsoWoab+zqpjjfxq2XzaC2NI8Bf5R/e/xNRpIZth7sx2U3U1fmZvK4Yra29BFJpNjROkilx8mOtgE0XcekyCgnIMkVhE9DJIaCIAjCGSGravzxzQN4AzGsZiNOm4mhUJzXd3ZisxiZWV/6qa4/p6EUVdNY39xNJJ5CkSXmljtY8H++j/ul5wDYfuG1NN/xz3zlyrks/8NGZEnCYjJwZCBEVrXgdpgBKCt0sGhyMbs7I0ypK2bxzFoqipzEUxmK3HZ8oRhPvbYPk0FhKBQnlclSXVKALLYPC6eYSAwFQRCEM0KPL4w3EMOTZ+MrV8zEZJA50DnM028dZFvLwKdODCVJ4qxJFZw1qYJIIo19fzPyFz4HbW2kLTY2fPtf2DD5bIoVI6qmoWs6kiKhajpmkwHQ+f1r+ynJt6FrsK8rhN1qZeHkSiqKcmsVbWYjy85r5NkNrQQiCcLRFDpgMsqoms4vntnOzZdMpdD1EeVxBGGMicRQEARBOCP4wwkAakvzMB3tDDKxqgCA4ZH4R573V9N1nI/9Gv7pnyCVQps2nd/94//C6yknHEsRiad4aMUGkuksZpMBk6pR7LbR0R+itSeYW/MogaaqTB5no64i/5jLL5xSiSfPxm9f3AnoFLltnDWpEv9Igt6hMM+sP8RXLp9x4p5HEP4KIjEUBEEQzggFzlyNv25feLSXcHtfAIDCvI8fYTvcF2Rn2yCReJoCl5Wzp1RS5LZ98EC/H269FZ5/PvfzHXcg//u/M793hBc2tqEoMgP+CJoOBlmmwuOgbyiCJEloug7oIOkU59lJJpNksxq+YIySozud31FW6MBpM1Na4OCuZfMwKDJZVePRp7fSPxwhmkjjsJo+9TsThL+WSAwFQRCEM0J1SR7F+XZ8wRj/589bybObGfRHAZjTUP6R52052MearR2jP/cOhdl3xMc/XjKV6pK8dw9cuxa++EXo64P8fHjsMbjuOgBmTLBQVuCgucPLUChBNJnG7bDQOxRGUWT8IwmKjnYw6RuKYDUbKLTa6Q2pdHlHPpAYJlIZABxW0+iuaoMi47CaiCczxJMZkRgKp4RIDAVBEIQzgkGRufH8Jp5/u5VuX5h4MoNBkTlnWhWzJ374+sJkOsvrOzqRgIvn1lFZ5KT5sI/thwZ4ecthbr9qFmQy8MADuaLVmgZnnw1PPQXV1aSzGqqqYjUbKSmwc3HBsT2HH/6fzRgUmQmV+UTiaa5Z1MCLG9vo8o4Qk3VAQlW10eO7fWH2H/ERS2aIxNPoms7udi8TKvJp7QkwFIpjMsh48j5kNFMQTgKRGAqCIAhnjAKXlS9fOp1QNEkilaUwz/qxPYYHAzGyaq7kzFmTKgCoKHKx78hQbjfwgRbMt3wJtm4FRUH//vdp/sLX2NsSoOXVN0mlVRw2E0V5NpbOq6Ou/N31gpqmk8qoyLJEbWk+ezu8vLS5nayqEY6nCIWzuF12qovz0DSdNds62LC3B6NBRpZyZW46B0f4y7qWY2oxXjRnPLLYniycIiIxFARBEM44bocFt+P4xxmUXIKVzqqjn2WzGllVY9ZbL2C+45cQjUJNDfqKFfw+mc/etS30DIVRNR2DIpOfzq1tXPnGAW67bAYlBblpYVmWKMm30zccQZHBZJDZf2SIAX8EXZcozjMxe2Ipqq7zyJ82s/uwD4Bit52zJlUQTaQ50DlMJqvidljId1qYP6mCSTWeE/y2BOGTE4mhIAiC8JlVku/AZjbSPxzl2Q2tVBU7ObzrENf/7H/TsOvt3EFf+AL88pfsHIyz6eU9hKLJ0RI0uYE7iUqPk77hCFsO9nHV2RNHr3/xnHE8sWYvu9u9qJpOIpXBYjJQXZzHvPFOFkyv5tfP78IbjGFUFEoL7FjNRg52DXPFwgn0+MI4rSbuvnH+KXk/gvB+IjEUBEEQPrOMBpmrF03kT28epPmwl9izL3D1//0xjpAf3ZWH9NOfwNe+BsCWte2MxFM4bSZMRoVpE0po7w3Q64vgCyUIhhOsb+4hFEtR7LazcEoF1SV53HLpNNY39zDgjyJL4LRZGF+eh8mQprU3SDyVodzjxGkzM318CeUeJ6u2tLO/Yxjg6G5mQTg9iMRQEARB+EyrryzgjosmkrjjTkr/shIA7YILkJ94AqrebaX3Ti3EiTWFRGNpPE4rWrmbtt4AO1r7UVUNo0EhnVEpzLOyu22A2y6fSWWRi2sWNfCbF3YiSRLRRIo9h33E43HKinK1FyfVFrP1QC/7O4ewW43Ekhl2tA5Q4LJS896d0YJwiommjIIgCMIZL5nO0jk4Qo8vfMx6QgDefJO8BfNySaHFAj/7GfJrr40mhb1DYba1DOR2D+s6oXCSZDrD+r09vLrtSG5NYlbDoMh48qwYDTJ5DjPprMaqLe0AvLGzk5FYisoiF5+7YBKXzK3DoEj0+MKk0lkG/REWTKkiq2q8sLGNvuEIqYyK3WLkknl1738cQThlxIihIAiCcEbbfmiA13YcIZ3JJYQOq4kZ1TbqyhLw4IPw05/mytBMmwZPPgnTpwOgajpPv3mQQz1+AELxJKlMru6g3WLEF4qTzqhIElhMCiUFDswGmf5AjEgihd1ipscXRtN0urwjAFx1dv1oqZn2zl7avSmyqkaXdwRvMIYkSWSyKg6LicWzarl8wQRsZuMpeGuC8OFEYigIgiCcsY4MhFi1uR0kiZrSPNIZlQF/lIN/epv5N16FvacT3WCEBx5Auu8+MLz7tbduTzcHuoaJJTO4bEYcZjNWc4JoIldgWld1JEnCfLS8TDKdpSjPxXA4QSqtEU/GMCgy0ntKy7x/uaAsS5wzuYp+f5QeXxiA+spClsytY1Kt2H0snH5EYigIgiCcsZo7fOjAhbNqOXtKJcTj7PrcV5jx0kokXcdbMY7nvno/xrlz+KIkH/Olt+ewl67BEOUeJyBhNinIkgJ6FofVhMdtxx9OoOs6I7EkclLC7bBQ4LKSTGUJxVJkslkkoKYkj+GROC9sbGPhlApC0RQtvSOYLTamjS9hybzxJFJZUpkseXYzkiTqFAqnJ7HGUBAEQThjhSJJACo9Tli3juyUqcx88Q9okszzF9zAT//pF2y3lXKgc4j1zT3vnhdNsrvdSzSRQZIlLphVy9J5dYCOpussmlbFj792AXMby7CYDOgaJJJZNh/swxuIY7MYMRkUnHYLqqazeFYteXYzvUNh/rj2IK9s6yCr6iyYVEFZYa7gotVswO2wiKRQOK2JEUNBEAThlNJ1nWA0BUC+468bTfO4bQx0DcAdd8AzT2HQdbpLavjPK7+JMncOtUUu+oYi9A5F2NU2yAUzaxjwR/ndqj3EkmlUTWPQH2Hl6/toqPSMlo5RFBmDIvP5CycTjCQZDMZQFJnSfDt15flUFrvY2TpAgdOKIktYzQa+cfVstrb00zccwWY24lSSnD9n3Ji8M0EYKyIxFARBEE6Z9r4AL21qZySWSwzdDgtXLJhwTOu594slM7T1BognM0xs3sw599+Ly+9FNRhZfeGNPD7zcix2C7/4h7Nx2c2s2nKYJ1/Zy74jPh5f3Uxbrx9JkijKszEYiBOJZwiEkwz4o4CEJOV2E3d5R9D1XEwFTgsOi5GKIid2q5G9h73IksTM+pLRuExGhUVT3y1/09HRMWbvTRDGypgkhsPDw7z44ov4/X7mz5/PokWLRn/X2trK6tWraWhoYMmSJWNxe0EQBOEMMDwS509vHiST1UbX3YWiSf649iBfuWImnjzrB85p7QnwzPpDGPxDLHnqP6jf/BoA3vrJPPOl77LbUoQaimE2KXT0B/G4bexoHSSRypDJqGw90EcgmsRsUKgscRGMpDAYJMwGhWQmC4BGLvl8YnXz6H2njy/BbjXSNxQhEk8jyxLzmyqOSQQF4bNgTBLDu+66i5KSEurq6vj617/Ot7/9PzjTSQAAIABJREFUbW6//XZaWlq48sorueeee3j44YfZv38/99xzz1iEIAiCIJzmdrd5yWQ1Zk8s47KzxgPw4qZ2drUNsuewlwtn1R5zfCyZ4dn1LTS98TxL//grTJERMmYrb1z/Ffj2t5jtdnDkrRb84TjBSIqH/7iFQpeVAX8UXdOxWg24HGaGwwkiiRRHBkKoqorTZiWTVTFLBqwmA3aLkck1HrJablp5XKmbhVOrMCoSwUiSSDxNUb5NlJkRPpPGJDFcsWIFspzb1zJ16lTuv/9+br/9dn75y19y55138o1vfIMbbriB6dOnc9ddd6EoyliEIQiCIJzG/OFcp5EJlQWj6wonVhWyq21wtAvJe3k3bedzP7yDmpbduQ+WLCG8/Gds2e3H3OEnqw5hNRsoKbATiiRIZ1T6/FHSaRWDQaau3E1Jvp3hYAzfSJZIPI3NbCKdzRJLZHA7LCycWkmPN8ykccXMnlj6gRgKXFYKXB8cyRSEz4ox2ZX8TlII0NnZSUVFBQDNzc3MmTMHAI/Hg91uZ3BwcCxCEARBEE5z7yRYh/sC6LqOruu09wUAKHS+J/lKJuGBBxi39HxqWnaTKvDAU0/B6tU4JzcC4A1GUTWNhZMrue8fFjG1xk15kRNFkkACCQlfMM6uNi/RZAZd15EAWQJdlzAaFMxGhT5fBEmSqCpynuzXIQinhTHdfOL1ennwwQd5/vnnAQgGgzid7/7P5nK58Pv9o4mjIAiC8Pdj+vgSthzsZ822DtZs7UAHJBmK8mzMeGdTx+rVaN+8A/lIB5IksWnBpWz68p1cv3gBhYk0G/bmStDYzLmvs9JCB+UeB8sWVhPRHTy+ag9HBkKkVZVYMoPDZiJ1tGWeUZbw5OXKx8SP1iW0WgwsnjGO4nz7qXglgnDKSbr+/jrtJ0Y0GmXx4sXce++93HjjjQCcf/75/OhHP2LhwoUATJw4kbVr11JRUcGGDRt4++23P3CdG264YSzCEwRBEE4xVdNZsfYIR7yR0fV8BlmirtTBl5vsFD/0b9hXrQJgoGIcz970LXYUTSCRzlKcZ8FszC1DkiRoqHDR0humotDGJTPLkSV4a5+XPZ1BunwxJF2nwGXBapYZCCTJqhomo4H/fcMU9veM8Na+QUZiafIdZvIdJio9Ns5uKibPJtYRCp9NdXUf3qN7TEYM0+k0119/PV/84hdHk0KAadOmsX37dhYuXMjw8DCxWIzS0twajkWLFh2zexlg+fLlHxn4ydLR0XHKYzhd4hAxnF5xiBhOrzhEDJ8sjh5fmLW7Ohnw5/oNB2NZivKdWE0KugRqIsXZr/yF6rtWoMRjpC1W3rrmVlLf/BbnVBZS2DnExv29ZLIaVYVuygodnDu9mnynhV8/t5NgIs3TmweIx+OYLVasFitWSxpJ13HZrWRUFafNTCiaBHTikg3ZmCGZAavZRF2FB1XTCMQ13m4N89UrZ2I2/m1flWfCfw8Rw99nHB9XSmlMEsM777yTwcFBzGYzv/nNb3C5XNx0003cfvvtXHXVVciyzLPPPsvdd98tNp4IgiD8negfjvDkmmbUo6ODw6EEQ6EYLocZd6mbuv3buXjFo5QMdgOwf/Z5/PbCL2GfMI5/O6cRCZhc66FvOFcy5qbFk9jVNshLm9qwmI1MHV/EgD9Ot3cETdepLnbRWFPIL57ZgUGWqS5xYVBkApEkezu8SEi8tv0I3mAM0Llwdh1fXDKVdCbLU6/tp8cX5mCXnxkTSj76oQThM2ZMEsMZM2bgdrtHM9LCwkIAJk2axEsvvcSaNWu49957Wbp06VjcXhAEQTgNrd3dharpzG+q4PyZ1Tz8P1vwhWLkB7x8Z91vcb38AgB9heX88bpvIF18Mf62QSLBKJv297JwciWQ20iSVTUeX9NMNquNXr9zIMSk2iK+9w8L6Og4Qv2E8bmRxeJ2enxhDveHsJoNROJp7BYTtWV5zKwvZduhAQpdVpbMq0MCzEYDTTUeenxhfMHYqXhVgnDKjEliePvtt3/k7xoaGmhoaBiL2wqCIAinEX84QTiWosBlJc9uPtpZBBZNq8JsNJCvaHx+/Z+4euOzmDJpMhYbT59zPc/OvYyFM+v41nVzePCJDXT0B3l+QyvlhU72dw4RjqeIJtIYFJn6ygIumFnLSCzFixtbOdA5xJyGMhQ5V/7GaJC55dJpPLmmGX84SSSWwmRUqC3zcPtVsylwWoinMrT2BOgfjlBydNNJ71AYALfDfGpeniCcIqIlniAIgnBCxVNZnnxlL50DIQAkSWLKuCLsFiPxZIbASBz7s6v48t33YPUOoCOxYco5/PclX2TQ4sZiMlBfWYAiy3zu/EaW/2EzfcNRnljdjCSBIsuU5NtJZVQumVtHoctKaYGd/ollrG/upncoTPl7NhXXVxZw700L2NPuJRJPU5hnZWZ9yejawWl1xTQf9vFfz+0cTShlWaLC46Sh2nPS358gnEoiMRQEQRBOGF3Xeb15kJGkhN1ipDjfTt9whL0dPlw2MxUdB1HOvQNa92IFDpeO47cXfZnDdVNABy2bJZVVsRztKmI1G6kqdpHOZKkrd1PgsjK/qYJn1rcw4I+SSGWAXM3DeDINgMmgAJlj4sqzmzl3evWHxlxa6CSdVUmkMrxTpsOgyBgVGbtF7EoW/r6IxFAQBEE4YYLRFAOBBMWFbr5yxQwO94dIpFRaN+9m6ZoVzN25FknXGXHk89QFN7F68vnIioxRIleIWpLQNZ2n3zxAe28AbzCG2ahw5cJ6zpr0bs3bujI3A/4oz6w/xNzGcsKxFLvbfciyxLgyN5HAJ2+esG5PNy6bmbOaKphSV4yqaazb081QKM7BrmGm1hWPwZsShNOTSAwFQRCET0TXdfZ3DtM/HMFoUGisLqSs0DH6+3RGZdWWdnqGYvQEkux+dA1KPMY1G5/jSxuexZxJkTEYWXv+dWy95ksc8KfQk2lM/4+9+w6vozwTv/+d05vKUe+WVV3lXrAN2KYYMIYUQgllk83LEnZDCEm2/jabkN29XpLfRfIu2SS7SUgWEvCG6kBMsI3BxgV32bItS5Ylq3cd6fQ+8/5x7OMYY7qOBL4/1+XL1uho5p7nZkY3z8zzPAYdJXlpoOkS6xz7grgDIfpdPgx6HctmlbJketF5sVw5dwodAx66hzxs3p8Y6KgoCtcsnEpupg2v6/2f19kBJpfXlZGflXgG7fGH2XLgNP0unxSG4pIihaEQQoj3FIurPLnpaHJQBsDOhk5WL5jK8lklaJrGizuaae4YIRRT0YWjXHX4dW5/8xkyfWNoisKeWcv5/Zq/wFhVwdc+s5B//vV2NE0jHI2RabeiKBpdQ240DdQ4LJpWyNULKjAaLly91aDX8eUb5tDYPkTPkBeL2UBtSXaysPsgHFYTAMOeQPLnh8YSazWn2WTwibi0SGEohBCTXCyuotfrUCYwhjePJAZ1ONMsLJpWhC8YYW9jD68faqeyKBNV1WjuGsFmNXDl6UPcsum3FA11A3CqrJanrvtLTpbWYDUZyNPrePxPh9HOrGGsagoHT/ah1ynodAqKomA06Njf1EdFURa1pVnvGFNiXsNcZpbnfqRzmz4lm1M9Ll7e1UJrzyj+UJRTPaPJUc9CXEqkMBRCiEmqY8DNlgNt9Lv8GHQ6akqzuGbh1AnpxWrvdwPwmRW1lOalAxCLa+w70UN7vxuLyUBpy1HWvvhL8hoPA9DnLODJlXewf+ZS0h02LArEYiqDo34KstOYXppNfUs/sbhKXNXQVA27yYTVbGTJ9GJGPAEaWgfesTCMxVVGPEHSrCZsH3GAyNyqfPpdPg409XH41AAAJqOeGy+rJjvd+pH2LcQnjRSGQggxCfW7fDy15RixuIpBryMai3Ps9BBDYwG+snYuBv2Fj1fHUyQWB8BiOvdrw2JKrFxlaDpB9X//iLmbE+saexyZ/GH1bexadgNDgSh6RcEfiqJDQ2/QEwhE0OHFZjPBmX5Qg16HoiT+Ls/PYMmMIl7Zc+rM0nXnaJrGzqNd7DzaRfTM5NaVxU7WLasm/UMWzIqicP2SKhZNK6Jr0IPZaKC8IOMjF5xCfBJJYSiEEJPQrqPdxOIqi6cVce2iCoKRGE9tOUa/y0dT5wizpn60x6cfVFG2g8FRP5v2tbJ6/lS8gTAtOw7wmf/9JXV7toCqErHa2HHNrTwx82oCBguaP0IsrhFXNDRNwWzUU5LtYMwXwuUJ4glGMRv16HQKoUgUnU4hJ8PO9UsrGXYn3vHLzTz/ncEDzf28Ud+BAuQ77bj9YVp7RnnmjUa+fP0c9LoPXzDnZNjIybB9lGYS4hNPCkMhhJiEBscSI2UXTitEp0vMCThrai79Lh8Do/6UFIahSCzZQ7hqfjkt3S7a+sYYemoLl7/0JF/Z/kd08RiYTHDffQx99UF2H+jDf6qfeFw9Mxk1qKqCpmmoaMytyiccjfHagXZMBj3zagoY8QY51jqIqmrodBo7j3YTDEcx6HUsnXH+aOT9Tb0A3Lp6BrWl2YQiMX618TC9wz56h33Jx9xCiA9HCkMhhJiE0u1mhsYC9Lv8yV6sfldiSbk0W2IUbVzV2Huih6Otg/iCEUxKlJvt2ZTlZ3zo48ZVjZ0Nnew90UsoEsNqNrB0RjHLZ5Vy39JShv/pu5Q89zsMkTCaXo/2F19Cefh7MGUKxcBf5OZy7KcDWEwG5lUVMuLx4w9F6R3xgQqtPaOEIjFyMqw4rCbcvhAGRaE0LwO3P0QsphIMR8nNtLFmcSUFWeemw9EAlzeIAlQXJ947tJgMlOWl4/IEGfEEpTAU4iOSwlAIISahmeW5tPaM8tKukzR1DuMPRenod2My6qktzQZg41stycESAEOBAE+82sBd185mamHm+zpOLK4Si6vJnsGtB0+zp7EHSLzv1zPk5aWX3sL28HeZ/+qzOAJ+UBS45RaU73+fZnsep3pHiXefpLwgA7vVRLrNiKLoaWgdQK9XKM5Jx+uPkGY3odPpGHYHKMxO4wsrpwEKRr2O3mEvO452sWR6MVfOLTvvXcazFMDpsDDiCdLWN0ZVsZNITKVrMDGFTlaa5SO0uBACpDAUQohJaW5VPkNjAfY09tDYPgyAzWxk3fJqMuxmht0BDp9K9Mx9YeV08px2Xt5+mJP9IV4/1M5X1s591/27vCFe3dtKW98oqqqRm2lj9YKp7D3Ri0Gv48Zl1WzbWs+STU+x7LXnsYYT7/z5rl6D4/8+AnPnsmFnMw37GpP7PHxqgPwsB067iaimJxQNoCg6HFYDWRlWstOt5DvtDIz6iMbi7D3Ry1XzyglGYtSfKXDLCzPesSg8a0FtIZv3t/G/rx+nIMvOmDdMIBylIMtOca70FgrxUUlhKIQQk9Q1C6eysLaQ3hEvJoOe0rz0ZNHUN5J4rFxTmpXsHVxYlc2pwV4GRv1n3td755kPI9E4T285hssbxKDXYTLpGRoL8LtNDaiqxrQ0Her/+Wfu+8PTmIOJdx0bpy3kzc99Bc+sOTw0q462zhEaWgexmo1cMacUg17PzoZO+l0+dDqFTKsZjz+M2aQnriXWKp5a6KRzwE1Ouo00q5GeIS9Pbj6ajKu2NJua95g3cMn0IgKhKHsae+gdTrRBeUEGNy2vQX+R8xVCvH9SGAohxCTmTLPgfIdHpDZzYiqVMV84uc0XjKKqGlaLAZ1OoXfYy+BYAIfVSHlBZnKKm8aOYVzexPt4X7x6JiajgS372zi8+yhzXnqKlbs3Yg4leghbZy/mlTV3MjpzLoU5aYRGfPS7fMl5DS+vK2XJ9OIzMen59StHCEfiBKIhonGVkC+GLzhMXqaDtr4R4nGYXZHLDUur2H2sm65BD0aDnprSLOZXF6Ao717cKYrC6vnlLJ9dwog7hN1qJMMuq5MI8XGRwlAIIT6BinPTsFuMdA64efq1Y+Q67eyq70QxmKkuyWb91uO0dJ9bMDjTYeGWK6dRlJOWXBt4+pQczEYD9PSw4jc/YtXjv8IYSRSahyrn8cKqW+mpmEFU1Zhh0GEyJOYtjKsacTUxh+CfTw9z8OQAfS4/Jj2UFzqwmY2MeAI4HRYsJgPxuEJdZS7XLa7EYjKwen75hz5/s9FAUY7jvT8ohPhApDAUQohJRlU1GjuGGRj1YzUbmF6Wc0GvocVk4LNXTOP57U3sO9GLyxsiGouRbotgMRkIRmI4rCZqSrIYGPXTN+Ljue1N3H/zAjIdiX25GxrhsX+F//kfbOEwmqKwv3YRz6/4PCcLK9E0cOoUzDodg6MBYnEwGnQUZtvxBSMcaO5j17Eu7BYjgXA0Ob/gvMosblk9j93Hu3nzSCfuQBijQYdR0WEzG1M+ObcQ4v2TwlAIISaRUCTGk5sa6Hf5k9u21Xewblk1syvyzvtsRWEm86sLGHD5yEm3YtLHcdgdnOgYxmYx8sDnFpGdbkUDfvlyPf0uH73DXmZ4erH/8t+YvmcrxONoio69s1fwhys+j7tyGrVl2Uw16tl2pANN01B0CsOeIGk2M+uW1WI2Gpg5NZfDpwZo6x3lue0n8AbChKMxinMcXDeviMJsB3arCZcniKIo5DoTxeSexh6iMZW1l1WluGWFEO+HFIZCCDGJbD14mn6Xn+x0K/OqCxh2BzjSOsjGt05RXphJmtWU/KymaRw82UeGw8Ld185GDYzgyCrgb3++FV8witGQ6JlTgJwMK+a3dpH1P9/HsX0rMzUNVW/g8OU38NrVt3JEn8m0KdlY4xrhSIz/Z+0c+kd99LsCaKqKxWjgy9fXUVHkTO7zi1fN5FBLP609owyM+onGVeoq8tHrFOKqyr7GHkChujiLb9yymMFRP4+/cphDLf1ctaD8XUcfCyEmhlyVQggxAUKRGKFIjAy7+bwBF6d6RgG4/aqZZKdbAQhGYjR3jtA54GZm+bkVT3yhKKFIjDSbmfKCDNraRjDoFUDDF4ry//5uN6vnlFGy+3WW/uw/KDp1PPGDdjvcey/xrz9IptXJ4kEP3oOnKcpOw2Iy0NLt4mcbDtHv8hEKxykvyGRmeU6yKDxLp1NYWFvIwtpCfMEI//nCAdr6xoiFvLSNKnQOuDEadMyqSMSc57ST73TQPeRhxB2kODdtHFtYCPFhSGEohBAp5PaHeWXPqeTAkLODMBbWFgIQjsYBsFuMyZ9xWBK9hKFI7Lx9OSxGjAYd/lAElzdE17Cf/7thOx5/GH04RNmLrzLzHzdS5OpL/Hx6JpZvPQR/8zeQnY0RKCexDvLexsQI4ell2VhMBk52jRCMxLBbjNSUZr3no1+H1cTay6p4addJTnR7OD0SIxSNYzHpWTYrMWo5EI4y4gkCkCmTUQsxKUlhKIQQKaBpGkfbhnhqyzHcgRB2i4mSvAy8/hCv7DmFxWRg1tRcinPTaO0Z5dV9bayYXcKIO8ix00MAlOScP4GzoijUVeRz8GQfv3y5nmOt/RhdI3zx4CbWHNxMeiCxIshAZj47rv48vetu5atfXJEcXXyWyajnMytqeWZbI/ua+oirKuk2M2V56dx9bR3lhe9vib3ZFXkU5aSxbd9x7GlOstMtuDxBnnj1KKV56fQOewmGo1SXZJ1X+AohJg8pDIUQIgX+sKuFPce76RnxoGkQi6kEQhFqSrMZdgfY09jNrKm5XLNgKh39bhpaB2hoPbfc3fyaAvKz7Bfs95pFUwlFYgxs282XX/gtlx/fhTEeBcA7ex7r517HzqqF1NUmJobuHfZRXnBhoWczGzHqdcRicaKqhtmgpzAnjYLsC4/5brLTrcyryKKiooKVkSn8YedJmrtGkj2kFUVObl5e84H2KYRIHSkMhRBinJ3uG6OhdQANMOn1GAx6VFXFG4zS2juKxx/BqE/04uU57fzVunm8eSSxiojdamJWeS7zawou3HE8jumlP/D5n/wEtm0DQFV07J9xGZtW3ETsssto7nShKApmo55AKIovGLlgN7G4yvNvNhGKxJlTXUBRtoOmzhF6h728uq+Vz6yo/VDnbTEZuG31DFzeEC5PEGeaJfnepBBicpLCUAghxlnnYOKRbnVxFj3DXoxGPV+6fg6v7mvDH4qgahqewLkVTHIybHzuimnE4up5c/6FIjFGvSGckQCW3z0BP/0pdHQkvpmezivTV/DSwhvw5hej0ymE20cIRaKAjhPtw+Rk2ijMvnBS6H6XjzFfiPwsO39xXR0KcNnMYv6/Z/fR3OlCIzEK+cPKSrOQJe8UCvGJIIWhEEKMs7NL+HqCEdS4SjAS44+7TzLiDaFpie/9+Xt/JzqG2XqonX6XH6vJwNSiTE52uojV13PVno0sP7wdomcKyZoa+NrXiNx1Dy/89zZc/iiGWJxQTAVNQ9MUFEXD5Q1iNRtJt5l4O38oMagl02FJFoAOqwmjUU8kFicaUzEZZFJqIS4FUhgKIcTHrGvIy7G2QdJsJuZW51OWl8GwO0BT5wgxVSMWitDSE0HTwGE1AIl5/1yeIC5viF+8XM+IJ4imaehiUawvPsdtBzcxvfMEAJqicLRmPr1f/Euu/c79KDodQX+YnHQLzgwHvcMeVE3DaDASi8dR44CiMDDm59Hf7+WOq2Yy5c/eM8x32gA43TtKe7+bomwHB5r7iETjZKdbpSgU4hIihaEQQrwPXYMemjqHCUXiFGY7qCzKJBSJk5VuQdNgyB0iLxDmFy8fpv7UABqJrkCrycjqeVPwByPENRUFUHSJdwzjqkospqHTK4TCcf7rpUOEo3GG3AFqYx7WHttG9aYXSfMm5jaM2B0M3/wF3li+jtc8BjIcFua6g+Q77aTbTJiMOgwmM4U56TjMRmZOzeal3a0oCpQXZNA77GXEE+C3W46yYnYZFpOe8oJMCrLsLKwt5EBzH09uajjvvK9eMDXVTS2EmEBSGAohxHvYebSLN+oTy8NFInG6hrzE4nEKs9KIxKKg6LAZNX79ejsuTwizUUee00EwHGXEE+KZNxqxWYxk2iyoGoSjMdSIhgLo9ToW1BZRmpfOiVN9pL/2Kn93YAt1rYdBVQFozyvjT/OvoWXVWjLzc/AFIqhqgEg0xog7QL7TjqIoLKnN4eBpHy53kP64j/ZBNxoa1y+pZMQdxKDXEY7Eae4cwe0Lk2YzoSgKS2cUs2ZxBc40K4dO9uENRsjLtHN5XSnVJVkT2/hCiJSSwlAIccmKqyrNnSMMjQVIs5mZPiUHq/n82+LQWIA36jvQKVBVksWr+9rwhcJoGrQPjoEGVrMBa5YFjz9EJBbHatKT6TBjMugYGPWhoqHXK8yqyMUfjDDsCeL2hQlHYsyqyOPBxfnwy1/h/+nPcYwOA6CZzShf+AIvzV7Nr8bsoMHcnGwW1hayaX8bvmAYi1lPdrotGev0kgzKy0p4btsJ2nrH8AejWMx6Ovo9RGNx7BYjw6MBFAWmFGRQVZxFfUsfbx3vpiw/g8tmFnPZzOKU5kAIMblIYSiEuCT5Q1Ge3NTA0FgguW3roXZuXTWdKfnn3r/rGHCjaRozp+Zz7PQg0bhKodOBolMYGPVhMOixmo04LAb0egOaFiOuaVQVOznROYKiKInHxwqMeUPMKM9h4Gg3YX+Qy9oOccsru1Hu2gGqigPozS1h68I1tK+5iZnzath2uANwgwI9Q25er48wOBpA1TScdgt5Ttt55zWzPJcZX8rltQNtPL+9GV8owoDLx/yaAowGHY3tQ2Sn21izqILqkiyy0sy8uq+N5s5hakuld1CIS50UhkKIT6VITEVVVSymd77NvbLnFENjAfKcdqZPyaF32EtLt4sXtjfxtc8twnhmwEUsnnic6wuGcfvDWE0GLptVQlPnMN5AGEVRiMbi+INRDDoFFNDrdCydWUJMVWloHURVNTz+KIda+hnec5Crj7zBFQ3byfC7AdBMJjpWXM32JdfTP3sBHf1uvL4IHXtO4QlE0OsUjAY9kZhGv8uPokCG3cK8mvzz1lk+SwGuWVhBaV4Gv93UgE6vo3fER+eAh3BMpTDbQUVRJgAZjnPrMQshhBSGQohPlQGXn1f2nqJ7yIumaRRk2bluSRVleeeWkwtH4xxs7iMYiXHNwqnMrynAZNDzq42H6Rvx0e/yUXrm82f/buwcJhJLrGO890QPzjQzDpuJUW8INAWbxUi+zojLE8QbCPMvv95GKBJHVVXs4QDXtu7jivo3qOpqTsYxWFJB/RU30rDsWoKOdOwWI/deP4fGjmFeO3gafzCK0aAnpmrUVeQxtyoPbyBKS/cIbn+Y8sLMd22LaWXZ3LOmjq2HTjPsDmI1G9A0jXSbORE3CruPdQFQnJP2odo7rqoMjQVQVcjNtCULaiHEJ5MUhkKITw2XN8h///EQoXCMNKsJvV5Pv8vP01uOcu+6+WSnWxkaC/DkpqP0DHlRdLB5fxt7Gnu48+pZpNvM9I34cHlD5Gc5MBl0FOeksaCmgD2NPbg8QYKhKKOKwsBoALNJRyAUQa/XM+aPMuwNo+gU4nENny/E3LbDrD66g6Ut+zHFEsvUBS02dsxYzuBnb+f6r9+BqXWQan+YPKeN+dUFWEwGVswuZfH0ojMDRhTWb21k1BvkjfqO5LlmpVuZV134nm1SW5ZNbVk2kWgcVdN4fONhBsf8/GzDweRnMh0WFta+977errVnlJd3tyQn57aaDaxZVInjo8yGLYSYUFIYCiE+FY60DvDUlmP0jviwW4zkZNhYd1kVjR0jHGkd4EBTH2sWV/Dijib8oQhZGVb8wQhNnS6isRh7TvSQZjGhqhrPv3kCo15PeUEGNyyt4oalVZTlZ/DEqw20940RPzPVTCQKmqaQYbfQPxYgHFEpHehg9bEdrDy+gyxfYpoZTVHonL2IptXrOLnoSt5qH6U0N4270q2smjflHc/HZNAnVyn58vV1bDvcSXv/GApQWezkijlTPtD8giZjYgLtL10/h22HOzjdOwbA1MJMrphTdtFH7hfj8oYjkobjAAAgAElEQVR4dlsjkZhKToYNg16h3+XnD7tOctVMJxUfaG9CiMlCCkMhxCdenyvI6429+IIRLCYDJbnp+IIRnn+zieuWVHOkdYDBMT/+UJR+lx+bxUh1kZNn32xC0zTiqgYxlWAohsNiJMNmJhqLc7pvjKe2HOOv1s1jamEmzjQrmqZht5rRNBWPP4JOp5A+NkLN7k0sP7yN8v72ZFy9WYW8PvsKts9Zye33rOGa+eU0vbAfBchJt130fN4uzWZm3bLqj6Wt7BYja5dWfeT9HD89SCSmUleZz83Lq1EUhW31HbzZ0Elzj4dlCz6GYIUQKSeFoRDiE+9krwdN05hdmc/QqJ8FNflEYhoNrQMcaO4FEo9Lg+EokVgcU0zH9qOdWEx68rPS8AbDuL0hojGNuKZxx9WzyMmw8fSWo3QOejjRMYzNYiSuqiycVsRNy2vYuOkg5rc2UbXtFaa3HUOnnRmkYnXQtfp6/lixlMO5FQQjUWJxjV/96Qgbdp5kzBdCpyhcs+iT3afm8oQAmFqYkRwAM7UwkzcbOvEEohMZmhDiI5DCUAjxiecJRgGFJdOKeHVfK/ub+rCYDHQPeRgY9VPgtFNRlMnGPafoGvAk3gEMRTAZ9NSUOjnSMojZoEevV9EpOhrbh7l6QTnTpuTQOehhaCxAWV46hkiYKW9uwvXdB/ncvh0YohEAIgYjB6sWsX/hag5VL+C2NXMZOtyBMuTFYTXj9oWIxVRGfSEsJgOfXV7LnMq8iW20jygnIzGaubnTxaypuegUhROdiTkYMx0XrscshPhkkMJQCPGJl2kz4Q5Fae0dxW4xcvjUKP5gBA2N0vwMrr+sir2NvXQPeSgryGDQ5ccTDBOMxNh6qAOLUY/BoMfrSxSLeh34QxFOdbsYHhylb9+bFNZv55uHdmIJBwHQFB39cxezb/4qXiqczQgmzEY9aApPbjqS6H2Ma5jNenIybNx1bR1ZaWZqSrOwmo0T3GIfXV1lHruPd9PUOcyPn3Vj0Ovw+MMY9DpmlGS89w6EEJOSFIZCiE+8GWUZdIwM88e3TqEooGkaeoMOvaJQ4LRTmGXnlSEP6XYz9988n65BL//nV28QCEWJRVWmlGTRN+JF0yAcifO/mw5z5Ce/Yd6h7XyueT+2UGISbE1ROFVSw1uzV3B04UocleVYTAZmmwzsONyBqoLBCMFQnLiqoVMU7FYTX1w9g1Xzyia4lT5eaTYzd1w1k417TjHg8gPgTLNw/ZIqdOHRCY5OCPFhjUthODY2xvbt22lububmm2+mtrY2+b2TJ0/y6quvUltby5o1a8bj8EKIS0x2mpnK4izaB8YwGQwUZNvIz3QQ1zRcniB7T/QBkO+0YzYaKC/IoLY0h4a2ARQ0Ovrd6KMRFp86xLKmPSw5dRB70Jfcf2x2Hcrtt/Na5SK2jioMuHzYbWaWVeZz9YJymjpG2Hu8G02BbIeNqC2OpsL08hy+eNVM8pz2iWqacVWSm8596+bjDUSIqyqZDgsAbW1SGArxSTUuheHmzZt55plnaG5upqKiIlkYNjU1sW7dOr75zW/y6KOPcvz4cb75zW+ORwhCiEvE2ZVJNDTKCzL53BW1VBQ6sVmMNLQOsGHnSSLRxMTU3UNeRr0h0mwmYqpKtkHj8p7jLG/ZT+m+N7EE/cn9jlXUsK1mCU1LVrPmzuuYV13AzCEPe185gj43HavJwPHTQ3T0j+HxhylwWsjPzsRhNeKwmqirzGNudQGXwpR+aTZ5p1CIT4txKQxvvfVWbr31Vu6+++7ztv/sZz/j61//Ovfffz9f+MIXmDNnDg8++CB6vX48whBCTDIaJN7bcwexW4zUlGZ94PnzzmpsH2Lb4Q5GPCGi4SA2uwNV0wiEotgsiXf4htyJ9wHzMm3odQonOob59VPbmNW4l1u2bWZW00FM0XByn+1FlbQuXc2K7z/E0bid7W82E43Hk+spD5/Z35zKfNJtJupbBnD7wxgNOhZXZ3PrtYvQ6S6FUlAI8WmV0ncMGxoauOOOOwDIycnBbrfT399PcXFxKsMQQkyAUCTG77Yco3fYm9xmsxi5ddWM85arez+aO0d4bnsTAAa9Dn9MJeQJ4PaH2XLgNN1DXqJxlZOdI+h0CjN1QbKObGHVU78n69A+dPHEusCaotBdOZOmBZezrWoRHdZsblxWjXnmdKpH/YQjMbzBKEfbBvGHopzoSIy6nTU1l1lTc1mzuBJfMEKa1UR7+2kpCoUQn3gpLQxHR0dJSzu3Hmd6ejojIyNSGApxCfjT3lZ6h71kpVmoLcumb8RHe7+b57c38bXPLvxAa+xuP5JYGu7aRRUsmV7E4eMneaNxjHA0TigS51jbIIWdLaw6spv5TfuwNR4DIAfAaCS8YhVdK66iee5yOg1p2O0mauIaWreLk90ufv3KEQKhCDarkVAkhtsf5mjbIIqisHx2KbOm5gKg1ylk2M0fd1MJIcSESWlh6HQ68Xg8ya89Hg/Z2dkA7Ny5k127dl3wM21tbSmL72ImQwwwOeKQGM6ZDHF8UmLQNI36pk6icY0rF+djN0OF087gsIuB4VH21Dcy7AnTPZJ4ZFuSY2NWWSb6d+iB04D2niE0DXLMIU6fPk2GzUiuPkT2iT1c3tVA0d6dWIYGkj+j2mwMLF5G09xl7KuYx0mfgk6vkN4fxKhPPAq+fn4RTksG+1tGONmReNcwy2Zk7fypxOOJJfDyMq1k2NSLnvMnJR+pMBnikBjOmQxxSAznTJY43klKC8O6ujoOHDjAsmXLGB4exu/3U1BQAMCKFStYsWLFeZ//wQ9+QEXFxK4O0NbWNuExTJY4JIbJFccnKYZYXMVo6sVq0DFrek1yQMaUrgj+6DBvnfIQisSTnx/tCjAaMvAX181Gr7uwJzE/Zxi3P0yGL0LuW9sJPPMMd+zajSFy7n1BSkrgxhvpXraa9Woe/b4oA2N+gkNRFEUhJ8OG3mCiujSHnmEP+0/7+frnF7FmhcbQqB+DQUduhu19Px7+JOXjUohDYphccUgMkyuOdytMx6Uw7OnpYePGjbS0tPDaa6/h8/n40pe+xFe/+lVuuukmdDodGzZs4KGHHpKBJ0JcAgx6HdkZNobdAXY2dLKwtpDeYR+tPaN4/CHiqol8p51rzywTt2l/G91DHg6e7GfxtKJzO4pEYMcOPvOH/8X2+mvk9rYDYCMx4fRA1Uxy7roV/bobYd48/OEYT794gEAoSigaw2m3oMZV9HodUwvSCUdVIvE4mQ4LY74Qo74QWWlWinPTLjwJIYS4BIxLYRgMBmlra2PlypUAtLe3AzBjxgw2btzIpk2b+Pa3v8111103HocXQkxC1y6qYP3W47xR38Eb9R2omko4GifdbkZRFC6fU0a6LfG+3hVzytiwo5nuQQ+LTSHYtCnxZ+tW8PmYcmafYaud1lmLaJw2n9GVa7jhpsvQ55wr6roG3YQiMXKdiZ6//GwHXQNueod9WM0mFCXG8KgfZ3pi/r14XEt1swghxKQyLoVhVVUVjzzyyDt+r7a29rwJr4UQl4aqYid3XjOLN+rbaWgbxBeIkG4z4/aF8YdiPL35GDarEVMoQOmxg1xzdB91rYehu+PcThQF5syB66+H669nbPocYp4weSMDfGbBTAz68x87B8OJ0cfpNjMj7iAGJTFYpKPfw+m+UdKsRtyBKKqmYbMYk+v/CiHEpUqWxBNCABCJxukYcBMMRynIcnzsq3WoqsbJLhdNnSOMuIMogE6nkGZSyDhyhHntR1nSe4LS1kZ06rn3DeOZTnrmLKZ9zhICK69m4eoF5GTYAMgH8nOhTfFdUBQCFGQ5AOgZ9qJq0DHgRgNisTj9I36GDDqsZgM56VbWXlaNosh0M0KIS5sUhkII2vvdvLijCW8gktw2ozyH8vxMOgfd9Ax5MRj0ZDrMLKwtpLokK/k5bzDC6wfbaesbJRZXKS/I5Kr55WSln9/79uaRTvad6MHrDVHl6mZJbxOVTfVMaarHfGYtYgBVp6d5ynSOVsxhcMkKhqpmoBjO3Ko8cPClQ3zp+jkU57z3e4CF2Q5mV+RxtG2QQChKvytRIOr0CnaLAYNez/JZpaycN+V97U8IIT7tpDAU4hIXCEd5fvsJ/KEopXnpONOsiaXkdpxE0zRC0Tg6BSwmA1MKMjjZNUJ5QSZ2qxH32BiDb/URjanJ/Z3oGKZzwM1f3TSfNOuZpdIaG1F/+htuaThAedNhbN6x82Loyy/jZO08Tk6bT3PlbMJmGy5vkEg0TtqQn7+6aR5T8jM40NxHfUs/r+5t5Str576v87tpeQ35TjtHTw+SlW5BVTVKctOpKnEyv7rgQ6+8IoQQn0ZyRxTiEnewuZ+uIQ/Z6TZWzC6luiSLfSe68YcSvYcmox6jXoeqQjgSp9fj41TPKBVFToZHPbiDccpy07n58lrQNI63DxNqOEb3919j+uljsG0bDAyw+s+O6cnKI3bFlbROn88GSyldhjSMRj056VZKshyk2800tA4w7AliMurw+MMUZju4YWklR9sG6Xf5icXVd3x8/HZ6ncKyWSUsm1UyPg0ohBCfIlIYCnEJ29HQyYYdzQy7g8TjGuu3HqckN53uIR+KomA26pk+JYcVdaU88WoDXYMe0mwmMOiZUZ7HsWiYUa+X2JHDDGzbwNRTR7ml6TDp3tHzD1RURFNlHS3Vc3DeeB2ve/TEVY0Blx9/KIKmaoSCUQbiKgadDk8gTJrViNGow+0L0z2UWEYvGlOJqxpGve4dJ78WQgjx0UhhKMSnRFxV2XeijwPNvYy4g4SjcfKdNmpKs1lYW3jBYJLeYR/b6juwmo04HRbS7WZMRj2HT/XjCYRB04jFdXT0j1FR5MRo0OMPRgj6glT1t5J24I/ccryeyvZGHEHfefsec2RysrKO+BVXsvj+L6KfPg3X8W7qD5xG8YCqaXQOuInGVWxmIzOn5tA75KVnxIcvFKEw28nVCyt4assx+sJ+2vvd7G/q42jbIJqmMbUwUwaKCCHEOJDCUIhPidcPdfDW8W6C4Rg9wx5UDbqGPHQNeTnU0s8tV05jWllO8vOtvS404Iq5Uxhw+TjdN0bXoIfeES/xuAooKPE4kSEP/U/u47rTjUzraqKm9xSmWOS8Yw+l59BSMYuOmjoay2Zw0pFLdrqVgiwHoZCVVcBlM0uIxlR2He1Ci6uUF2RQXpDJ2qVV5GTa6Bhw8/jGI+h1MHNqHi5vEL1Oh04BbyDMn/aeAiDTYeGGpZWpa1ghhLiESGEoxKdAMBxlT2MPhjOPWO1WEzaTAX84hqpqxOMqL+8+ReWZnj+AyJkBIw6LkStWTmfz/jaef6ORsuEuqjpPMr2nhWm9Jyke6kHh3MTPGgqDReWYVq1kh6OQP5pKGUjLwWTUk5dpI81mIj8YpXpKNqPuIK29LlbNm4ICXDmnjBWzSxn1BnFYTecN/JiSn8HKuWXsOtbNjoZOAHQ6uGLOFGpKnPhDUfKcDuoq8jAa3vvdQiGEEB+cFIZCfAoMjgXQNI1oXKV9wI1Bp6Mgy4HLM0YwHCUzzUxz5zDff2In6XYzM6bkUJybhtXvYWj9c4QiA1y5Zw9XH9yPLeg/b99Rg5FThZW0TJlO85TptE2dQXZ5CSaDjoERN6OeCCbAYTVSV5mPyaCnc9BNcXYao+4g4T9bAxkSg0HOzkP4dqvnl1Nbmk1z1whxVaM0L43a0mx5bCyEECkihaEQnwIOq4loTKVr0AMaFGbb+ewVtfzsxYN4/RFOdIxg0eKUnO5mSkcTxW0nmNLRxN/2dF6wr9HMHHqqZzM8fQ7Oa1fyxJARxWQkN9NOe98YuZk2SvPSyLBbyEvTcajNjTcYJhiOs/tYF/lZDuwWI25fCICSvPQPdC7FuWmyVrEQQkwQKQyF+ISKqxpvHumkqXOYUCTOiDdIJB5Hr1Pw+UK8+qs/sKrrJM7Go1T2nqJ8sAN9PHbePlSbDe+0WXSWT6e7cga700vQFRcTi6lE4xr6gALGGDqdjkg0TlWxk2A4Rr/Ljz8UxTUWoCDLTnrIRDASwxuIMOYLYdTr6Br0YDUbWTVvykXOQAghxGQjhaEQnyCxuMqIJ4jNbGDrkX4GfSqKqpLT18HypmM4m49TPXCasr7TmCOh839Yp4OZM2HxYpoKK3nTUsisdatYNncqs4HZQEFLP3/c3UIMjUGXl5imoVcUSvPTcVhN3HXNLIbdATbvP40nECYW15g5JYsbllaR4TCzv6mPpo5hQtE4JblpXDGnjHSbeSKaSgghxIcghaEQnxA7j3ax+1Arzo5WnK1N1Jxs5MaRLop7WlECgQs+784vpqOkimM5U+mtmMYt3/gi5TWlANRvPU5/t4ulaedPYTOvuoB8p53DpwYY9QYJRuLkO+0U5aQxa2oOZqOBPKedGeW5eIMRero6mFZTnfz5pTOKWTqjeHwbQgghxLiRwlCIyWpkBA4fhsOHGdmxh+pD9Szr7UD3tsfBAKGSMnQLFrBZc9KcW446fz5Be+LdvlA4hsGg438PdDFtIMCYP0zngBur2UhlsfOCfRXlpFH0PtYNTrOaMJ0Z4SyEEOLTQQpDISZaPA6trXDkSKIQPHIk8ae7O/mR7LP/0OsJlFfSlFPG0YwSOosr0ebNA6eT6VNyONExjMNqYmZZNoFwlIIsBwtqCti8/zQNbYM0tA0CYLcY+ezltdgtxtSfrxBCiElLCkMhUqmvD44dg6NHz/3d2Ajv8CgYhwPq6mDOHF4JOegvreLOb97Bj186QjSq0jU4SiQGs/Jz6B/x8ac9p5hSkMH86gJWvm3Ax80ralg+u4TeYS9Ws5Gy/HTMRrn8hRBCnE9+MwiRCidPwrJlicfD78CdXcBAaQUDpVUEp83g8ntuwjqjNjFgBGjfcJBhd4D6Hg9xVSM3y04oHKR3NMyoN4Q3ECESV8nPSuPyOWXveIycDNtF5w8UQgghQApDIVKjpATGxiArC2bPRp0+g5asEl5ym2jLLiajKJ/F04sYHAswOOpndEjjNt251T0W1hbw6r42Nu1ro3vIS0e/m2yHgQXTCphXWcDLb7WgU+CeNbPQ62QyaCGEEB+OFIZCpILNBj09kJ8PwIvbmzhwspeuQS8WowGr2UBjxzC3rZrJ7984TmvPKKqqoTtT5C2aVkQwHGPXsW50OghG4oz5NerSrBxq6SfNaqKy2InNLO8MCiGE+PCkMBQiVc4UhT1DXo63D2Ey6CnLS2daWQ4FWXb2NPaw+3gXJoOecDRONB7HrEtcooqicOXcKVw2q5TuQQ9bDp7mdPcgbb1jAJTlpXPz8poJOzUhhBCfDlIYCjGOht0BXjt4ms4BDwa9juqSLDLTLADMqSzg+OlBuoc8zKnMIxZXOdo6SLrdTHa69R0Hh5gMOiqKMvmrwrnsO3wCe2YuWWkWCrMdsp6wEEKIj0wKQyHGiccf5jd/OkIwfG7ewfqWfvQ6HaoGoUiMZbNK2HWsm2e2naBjwI3JoCfDYeGahRXvum9FUcjNsFAxNXe8T0MIIcQlRApDIcbJ7uM9BMMxpk/J4cbLqglHYzy77QTdQ17C0TinelygQHFOGoda+jHodUwtzOSeNbOZkp8x0eELIYS4BElhKMQ46Xf5AFgyoxirOTHAZH5NIX0jPqaVZjE4FuBUtwuAfKediiInt6+egUGve7fdCiGEEONGCkMhxonjzKoiLk+Qsrz05L8BphZm8oVVM2jtcREIxyjMdkgvoRBCiAknhaEQ46S2LJvGjmH+tPcUXYMeItE4jR3D6HQKNaXZ2C1G6irzJzpMIYQQIkkKQyHGyeyKPPpGfOxt7KG+pR8Ag17HtYsqKMx2THB0QgghxIWkMBRiHF27qIJ51QV0Dnow6BTKCzPJsJsnOiwhhBDiHUlhKMQ4y820kZspaxQLIYSY/GT4oxBCCCGEAKQwFEIIIYQQZ0hhKIQQQgghACkMhRBCCCHEGVIYCiGEEEIIQApDIYQQQghxhhSGQgghhBACkMJQCCGEEEKcIYWhEEIIIYQApDAUQgghhBBnSGEohBBCCCGACSgMT548yWOPPcamTZtSfWghhBBCCPEuUloYNjU1sXbtWoxGI48++ig/+tGPUnl4IYQQQgjxLlJaGP7sZz/j61//Ovfffz9PP/00jz76KPF4PJUhCCGEEEKIi0hpYdjQ0MDChQsByMnJwW6309/fn8oQhBBCCCHERaS0MBwdHSUtLS35dXp6OiMjI6kMQQghhBBCXIQhlQdzOp14PJ7k1x6Ph+zsbAB27tzJrl27zvu80WjkBz/4QSpDFEIIIYT4VMvNzaWiouKdv6ml0AMPPKD9x3/8h6ZpmjY0NKQVFRVpsVjsop9/5JFHUhXapI5B0yZHHBLDOZMhDonhnMkQh8RwzmSIQ2I4ZzLEITGcMxnieLcYUtpj+NWvfpWbbroJnU7Hhg0beOihh9Dr9akMQQghhBBCXERK3zGcMWMGGzduRFVVvv3tb/Ptb387lYcXQgghhBDvIqU9hgC1tbXU1tam+rBCCCGEEOI96L/3ve99b6KDeDdlZWUTHcKkiAEmRxwSwzmTIQ6J4ZzJEIfEcM5kiENiOGcyxCExnDMZ4rhYDIqmaVqKYxFCCCGEEJPQpO8xhMT6yk899RRjY2NUVVWN23Hi8Ti7d+/mxRdfZGBggGnTpiW/5/V6Wb9+PfX19VRVVWE2m8ctjqNHj/L73/+e/fv3U1RURHp6evJ7mzdvZuPGjWRmZpKTkzNuMXR0dPDMM8+wdetWXC4XNTU1KIoCpC4ff+43v/kNg4ODyeOlMh9PP/00r7zyCrt27WLXrl3U1dUlj5eqfAAEg0GeeOIJtm7dCpz7v71U5aOpqYnHH3882Q67du0iOzub3NzclOYjEomwfv16Nm3aRDAYPG/KhVTmY/v27bzwwgtEIhHKy8uT28czHx/mHjUeuTl16hQbNmxg8+bNrFix4j23w8efm7GxMTZt2sRLL71ETk5Ocp/Dw8PJe5eqquf1inzcublYPoLBIH/4wx94+eWXaWxspLKyEovFAqQ2H2e99dZbvPDCCyxdujS5LVX5OHToEE8++WTynmEymSguLgZSl4+zNm/ezHPPPUdHRwfTp09Hr9enNB8/+MEPzrt/Dg0NMX369GRs7zcfF2trgDfffJNnn32WlpYWampqMBqNwAdr65QOPvkwUrm+stfr5Tvf+Q6vv/4669evT27XNI0bbriBpqYmTp06xfXXX894dbR6vV7uvvtu/H4/o6OjLFq0iLa2NgAee+wxHnnkEUwmEzfddBPHjx8flxgA9u7dy+DgIOnp6Tz22GN885vfBCZmvestW7bwz//8z7z44otAavMB8Itf/IJIJILT6cTpdKLTJS6bVOYjGAyyevVq9u/fj8ViYdOmTUBq82E0GpNtkJmZycMPP4yiKCnPx+23384bb7xBQUEB//iP/8h//dd/AanNx89//nP+/u//nuzsbB555BF+/etfA+Ofjw96jxqv3PzoRz9i7969fOc733lf28cjN5s3b+a3v/0tv/3tbzl69Ghy+4MPPkhDQwNms5n77rsv+d/HeOTmYvno7+/nrbfeIj09nZMnT7JkyRJCoVDK8wHg8/l46KGHePjhh5PbUpmP3bt389ZbbyXvHWcL5FTmA+Df/u3fePjhh7HZbOzevRu3253yfJxtA6fTycsvv5xspw+aj4u19fr16/nGN75Bfn4+u3fvZt26dcCHaOtxnCbnY/HAAw9ojz32mKZp72/uw4/Dhg0btNtuuy359Ztvvqldfvnlya+vvvpq7fXXXx+XY6uqqqmqmvz6b/7mb7Qf//jHWjwe14qLi7Wenh5N0zTtF7/4hXb//fePSwxv19zcrNXW1mqalvp8BINB7fLLL9ceffRR7b777tM0LbX50DRNu/LKK7WmpqbztqU6H//5n/+p3XPPPRdsn4jrQ9M0befOndr8+fM1TUt9PtLS0jSfz6dpmqY99dRT2t13353yfCxYsEDbt2+fpmma1t/fr1VUVGialrp8vN971HjnxmKxvOf28c7NXXfdpT377LPnHe+sbdu2acuXL9c0bXxz8/Z8vF1dXZ125MiRCcnHt771Le2pp57SnE6npmmpz8dPfvIT7V//9V8v+Fwq89HV1aUVFRVpfr//vM9N1PURj8e10tJSraWl5SPl4+1t/Zd/+Zfab37zG03TNC0cDms2m03TtA/e1pO+x3AyrK/85zEALF68mCNHjozLsRRFST6yBWhvb6ekpITh4WEURaGoqAiARYsWcfjw4XGJ4az6+noee+wx7rvvPj772c8Cqc/HI488wr333ktGRkZyWyrzcdaGDRv43e9+x+DgIEDK8/HGG2+wZs0ann/+eV566SVisRgwcdfH+vXr+eIXv3hBDDD++bjxxhu55557+PGPf8wTTzzB1772tZTnQ6fTJXMQi8Voa2vD4/FMWD4uloOJuFbebiJyc1Z7e3vysWWqczM2NsbPf/5zHnjgAVRVpba2NuX5aGhooLW1NdlzBKnPByRej/rVr35FfX39ebGlKh87d+5k5cqV1NfX87vf/S55nIm6Pnbs2EFhYSFVVVUfaz5uuOEGfvCDH/CjH/2Ie++9l3/5l38BPnhbT/rCcDKsr+xyuS6IweVyjftxn3/+efr7+/nsZz/7ju2Qihji8Th2u50rr7wSSG0+Wlpa2LVrF3fdddd521Odj1WrVhGNRtm/fz9z586lubk55fno7+/nhz/8IceOHePpp59m3bp1aJo2IddHLBbjueee4/bbbwdSn48777wTu91OPB7H4/EQCARSno/777+f++67j0cffZR777032e4Tdb+6WA4m6t715ybq3jUwMMDDDz+cfJw3EbnRNI1gMMjatWsxmUwpzYeqqjz00EM8+uij521PdT6mTJlCRUUFPT093HbbbfzkJz+5aAj596EAAAvbSURBVBzjlY/+/n527tzJ448/TnNzM4sWLaKjo2PCro8//x/rjzMfS5cupa6uDlVVCQQCuN3uix7j3do65fMYflDvtr5yqmRlZdHa2pr82u12k5eXN67H3Lt3L//0T//E1q1b0ev179gOWVlZ4xrDvHnzmDdvHl/5yleoqamht7c3pfn493//d4qKivjhD3/I/v376e7uZuPGjSnPx3e/+93kvwsKCvjv//5v/uEf/iGl+XA6ndx000383d/9HZqmUVlZSUtLy4RcH1u2bGHGjBnJnphU5sPj8XD//ffT1taGwWBgwYIFfO973+OZZ55JaT6+/OUvM3/+fI4dO8ZPf/pT6urqKCgomLD71cVyYDQaU37veruJuHf5fD7WrVvHI488wqxZsy4ax3jmJjMzk7/+678GEr3cW7duTem18qc//YnR0VGeffZZwuEwoVCIRx99lLvvvjul+Vi3bl2yx/LOO+9k1apVPPDAAynNR1ZWFnl5ecl3gcPhME899dSE/G6PRCK8+OKLnB33+3FeHw888ABf/epXufbaa4nH45SWlvLggw9+4Lae9D2GdXV1HDhwAEh0gfv9fgoKClIaw+zZs5MxAOzfv585c+aM2/FOnDjBPffcwwsvvEBJSQlActRRb28vAPv27RvXGP6cpmn4fD5UVU1pPm6++WZmzJhxwfZU5+PPGY1G4vF4yvMxZ86c5OgyRVEwGAxomjYh18f69eu54447kl+nMh9er5dwOJx8XDhR+YBETu68805aWlqYPXs2Vqt1wu5XF8vBRF4rZ6U6N5FIhM9//vPcfffd3HrrrcntE/m7RNM0PB5PSvNRUVHBbbfddsH2ifxdcvZ6hdTm48/vn2fjUFV1Qq6PTZs2MWfOnOS5fpz5GBgYOO/3hKIoH+r39qTvMUz1+spPPPEE+/bto7W1lV/84hesXbuWyy+/nHg8zt/+7d+i1+vx+/2sXLlyXI7v9/tZs2YNV111VXJI+9y5c1m8eDHf+ta3uPPOO/n85z/PY489xgsvvDAuMQB84xvfIDs7m4yMDJ5++mm+/OUvYzAYUpqPs+81Ajz++OPs37+ftWvXomlayvLh8Xh44IEHWLBgAYODg/zyl79k06ZN6HS6lObj3nvvTT6OOn78OEVFRVRX///t3XtMzf8fwPHnOZXK6bjGSIzqEGNdXMo9JNfU0GpjGDE2O4aZbDasMfGHjGGGDX+YW66pQ2nUcplL/qBxahpLbnM7XdTU+/cHfX7O97gUdb7feD3+aZ/35/O+nM9r53NefS7vj8np34/KykouXLjA9u3btTJnfj98fHwICAhg7ty5jB49mh07drBkyRKnx+Ps2bMUFBTg4uLC/v37OXToEOCc41Vjj1HNEZvc3FwKCwupra1l7969BAYGMmrUqO+WN0dsSktLSU9Px2q1kpWVRXl5OfPmzcNsNvP8+XPc3d3Zu3cvbdq0ISEhodli86145OXlkZ+fj8lk4t69e1itViIjIzEajU6NR/1UKDabjdTUVFauXAng1HisXbsWo9GIu7s7Bw4c0M6iOjMeQUFBtG/fnlWrVuHr68vhw4e5fPky/v7+To0HOP5j/SvHru/t65kzZ2I2mzGbzeTl5dG3b1+6du3a6H3dIia4fvjwIRaLhd69ezNx4sRm7WvDhg1UVVVpywsWLMBkMmGz2Thx4gQAM2bMsJtbsCnZbDY2btxoVxYREaF9bovFwsOHD4mKinKYo6kpFRYWkp2dTU1NDUFBQYwbN05b58x41Ku/lFyfLDorHrW1tZw7d45Hjx5hNBqZMmWK3bxozooHfL6RPj09HaPRSHx8vDbfljPjUVxczMWLF1myZIldubPiAZ+n7jl+/DivXr1i0KBB2v2v4Lx4lJWVkZaWhl6vJyoqCn9/f21dc8ejsceo5ojNqVOnuHHjhrY8ZMgQpk+f/t1yaPrYFBUVsW/fPm3Zw8OD9evXs2fPHkpKSrTyjh07smrVKqB5YvOteHh7e5Oenk5paSm+vr7ExsZiMBgA58ajXnV1NZs3b7a7LcZZ8bhz5w5Xr16lrq6OwYMHM3LkSG0bZ8XDZDLx8eNHTp48yZs3b4iOjtbmHnV2PJKTkzGbzXYPVELj4vG9fQ2QnZ3N3bt36dKlC3Fxcb/0O9EiEkMhhBBCCNH8/vP3GAohhBBCCOeQxFAIIYQQQgCSGAohhBBCiC8kMRRCCCGEEIAkhkIIIYQQ4gtJDIUQLdalS5dISUmhsLCw2ev+Tl9fs9lspKSkcOXKld9q559yc3NJSUmxe8OBEEI0liSGQogW6+zZsyQlJf3Si+8bW/dn2+/ZswedTseaNWt+2M6WLVtISkrCw8Oj0WP+kdatW5OUlMSmTZuatF0hxN/lP//mEyGEaIjMzEwePHjA+PHjGTBggFZeWlqKxWLh7du3BAYGMnnyZHQ6HdOmTcPX19fu9VM3btzg2rVrhIaG4urqSm5uLmPGjGHIkCE/7Ov+/ftcvHgRgOvXr5OSksLw4cMZMWKEXb2qqip27drFoEGDCAsL08pfvnxJRkYGz58/p0uXLsTGxtK2bVssFgsFBQVER0dTWFjI06dPSUhIwNPTk1OnTlFdXc2sWbPw8vJi4MCBhIeHs3v3btauXYuXl1dz7GYhxJ9OCSFEC7V06VIFqD59+ihPT08FKHd3d2W1WpVSSmVmZiqDwaA6deqkQkJClF6vVxMmTFCfPn3S6h45ckQppdTRo0eVi4uLcnNzU97e3spkMilAbd269ad9nT59Wnl7eytAtWvXTvn5+anU1FSH8aanpytAJScna2VZWVnKaDQqvV6vevbsqby8vFRGRoZSSqnFixcrQPn5+anWrVsrQPXq1UuFhIRoy2PHjtXa2rRpkwJUWlpas+1zIcSfTS4lCyFavODgYCoqKkhMTKS6uppLly4BsHz5ciorK1m0aBHx8fEEBQVhsVi09V/bsGEDtbW1WCwWysrK6NatW4P7iomJITk5Gfj8Dtji4mKWLVvmUPfu3bsA9OvXTyszm83YbDZOnjzJ48ePefnypcMZylGjRlFeXo6/vz+PHz8mOjqat2/f0qZNG3JycqisrLRrt6CgoLG7UAghALnHUAjxB5gyZQo6nY5evXoB8P79e5RSFBUVodPpePToEbdv3yYgIIC4uDh0Op1DGyUlJeh0OkaOHImrqyvDhw9vcF8NVZ/AeXp6AqCUwmq1otfrmTp1qrauQ4cOdvXGjRtn12dkZCStWrXCx8cHpZT2wEl9u+Xl5Q0ekxBCfE0SQyFEi+fm5gaAXv//Q5pOpyMgIIC6ujpWrFjBsWPHOHbsGPPnz2fgwIEObfTs2ROlFDdv3qS2tpb8/Pw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+ "image/svg+xml": [ + "\n", + "\n", + "0102030405060708090100110120130140150160170180height (cm)01020304050607080weight (kg)\n" + ], + "text/plain": [ + "@vlplot(\n", + " layer=[\n", + " {\n", + " mark=\"point\",\n", + " encoding={\n", + " x={\n", + " title=\"height (cm)\",\n", + " type=\"quantitative\",\n", + " field=\"height\"\n", + " },\n", + " y={\n", + " field=\"weight\",\n", + " type=\"quantitative\"\n", + " }\n", + " }\n", + " },\n", + " {\n", + " height=400,\n", + " width=600,\n", + " mark=\"line\",\n", + " encoding={\n", + " x={\n", + " field=\"height\",\n", + " type=\"quantitative\"\n", + " },\n", + " y={\n", + " title=\"weight (kg)\",\n", + " type=\"quantitative\",\n", + " field=\"lm2_pred\"\n", + " },\n", + " color={\n", + " value=\"red\"\n", + " }\n", + " }\n", + " }\n", + " ],\n", + " data={\n", + " values=...\n", + " }\n", + ")" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "howel |>\n", + " @vlplot() +\n", + " @vlplot(:point,\n", + " x = {:height, title = \"height (cm)\", type = \"quantitative\"},\n", + " y = \"weight:q\"\n", + " ) +\n", + " @vlplot(:line,\n", + " x = \"height:q\",\n", + " y = {:lm2_pred, title = \"weight (kg)\", type = \"quantitative\"},\n", + " color = {value = :red},\n", + " height = 400,\n", + " width = 600)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Scientific Model" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Assume a human is a cylinder:" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "@model function sci_model(height, weight)\n", + " N = length(height)\n", + " \n", + " σ ~ Exponential(1)\n", + " \n", + " # k is kg/cm3, the density of a human body\n", + " # assume it is 2 grams/ml. See: https://bit.ly/2SOLRHC\n", + " # 2 grams/ml => 0.002 kg/cm3\n", + " k ~ Exponential(0.002)\n", + " \n", + " # p is definitely between 0 and 1\n", + " # pretty sure it's less than 0.5 (people are alot taller than they are wider)\n", + " # assume the mean is 0.1\n", + " p ~ Beta(2, 18)\n", + " \n", + " for i in 1:N\n", + " μᵢ = log(k * π * p^2 * height[i]^3)\n", + " weight[i] ~ LogNormal(μᵢ, σ)\n", + " end\n", + "end;" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "┌ Info: Found initial step size\n", + "│ ϵ = 0.025\n", + "└ @ Turing.Inference /home/user/.julia/packages/Turing/G7n2S/src/inference/hmc.jl:625\n", + "\u001b[32mSampling: 100%|█████████████████████████████████████████| Time: 0:08:38\u001b[39m\n" + ] + } + ], + "source": [ + "chain3 = sample(sci_model(height, weight), NUTS(), iters);" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Chains MCMC chain (500×15×1 Array{Float64,3}):\n", + "\n", + "Iterations = 1:500\n", + "Thinning interval = 1\n", + "Chains = 1\n", + "Samples per chain = 500\n", + "parameters = k, p, σ\n", + "internals = acceptance_rate, hamiltonian_energy, hamiltonian_energy_error, is_accept, log_density, lp, max_hamiltonian_energy_error, n_steps, nom_step_size, numerical_error, step_size, tree_depth\n", + "\n", + "Summary Statistics\n", + " \u001b[0m\u001b[1m parameters \u001b[0m \u001b[0m\u001b[1m mean \u001b[0m \u001b[0m\u001b[1m std \u001b[0m \u001b[0m\u001b[1m naive_se \u001b[0m \u001b[0m\u001b[1m mcse \u001b[0m \u001b[0m\u001b[1m ess \u001b[0m \u001b[0m\u001b[1m rhat \u001b[0m \u001b[0m\n", + " \u001b[0m\u001b[90m Symbol \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\n", + " \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m\n", + " \u001b[0m k \u001b[0m \u001b[0m 0.0014 \u001b[0m \u001b[0m 0.0013 \u001b[0m \u001b[0m 0.0001 \u001b[0m \u001b[0m 0.0000 \u001b[0m \u001b[0m 162.4206 \u001b[0m \u001b[0m 0.9980 \u001b[0m \u001b[0m\n", + " \u001b[0m p \u001b[0m \u001b[0m 0.0721 \u001b[0m \u001b[0m 0.0369 \u001b[0m \u001b[0m 0.0016 \u001b[0m \u001b[0m 0.0015 \u001b[0m \u001b[0m 123.9057 \u001b[0m \u001b[0m 1.0002 \u001b[0m \u001b[0m\n", + " \u001b[0m σ \u001b[0m \u001b[0m 0.2074 \u001b[0m \u001b[0m 0.0063 \u001b[0m \u001b[0m 0.0003 \u001b[0m \u001b[0m 0.0004 \u001b[0m \u001b[0m 263.4297 \u001b[0m \u001b[0m 0.9980 \u001b[0m \u001b[0m\n", + "\n", + "Quantiles\n", + " \u001b[0m\u001b[1m parameters \u001b[0m \u001b[0m\u001b[1m 2.5% \u001b[0m \u001b[0m\u001b[1m 25.0% \u001b[0m \u001b[0m\u001b[1m 50.0% \u001b[0m \u001b[0m\u001b[1m 75.0% \u001b[0m \u001b[0m\u001b[1m 97.5% \u001b[0m \u001b[0m\n", + " \u001b[0m\u001b[90m Symbol \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\u001b[90m Float64 \u001b[0m \u001b[0m\n", + " \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m \u001b[0m\n", + " \u001b[0m k \u001b[0m \u001b[0m 0.0002 \u001b[0m \u001b[0m 0.0005 \u001b[0m \u001b[0m 0.0010 \u001b[0m \u001b[0m 0.0019 \u001b[0m \u001b[0m 0.0047 \u001b[0m \u001b[0m\n", + " \u001b[0m p \u001b[0m \u001b[0m 0.0296 \u001b[0m \u001b[0m 0.0465 \u001b[0m \u001b[0m 0.0637 \u001b[0m \u001b[0m 0.0872 \u001b[0m \u001b[0m 0.1636 \u001b[0m \u001b[0m\n", + " \u001b[0m σ \u001b[0m \u001b[0m 0.1946 \u001b[0m \u001b[0m 0.2031 \u001b[0m \u001b[0m 0.2071 \u001b[0m \u001b[0m 0.2107 \u001b[0m \u001b[0m 0.2209 \u001b[0m \u001b[0m\n" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "chain3" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "\n", + " \n", + " \n", + " \n", + "\n", + "\n", + "\n", + " \n", + " \n", + " \n", + "\n", + "\n", + "\n", + " \n", + " \n", + " \n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + " \n", + " \n", + " \n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + " \n", + " \n", + " \n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", 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] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "# for each sampled parameter from the chain, compute the prediction using the scientific model, then take the mean\n", + "function build_pred_fn(chain)\n", + " params = DataFrame(chain) |>\n", + " @select(:k, :p)\n", + " \n", + " (height::Float64) -> params |> \n", + " @mutate(mu = _.k * π * _.p^2 * height^3) |> \n", + " @select(:mu) |> \n", + " DataFrame |> \n", + " Matrix |> \n", + " mean\n", + " \n", + "end\n", + "\n", + "pred_fn = build_pred_fn(chain3)\n", + "\n", + "howel[:, :sci_pred] = pred_fn.(howel[:, :height]);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Visualize it:" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.vegalite.v4+json": { + "data": { + "values": [ + { + "height": 151.765, + "lm2_pred": 41.3106309160868, + "lm_pred": 42.362323321682474, + 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", + "image/svg+xml": [ + "\n", + "\n", + "0102030405060708090100110120130140150160170180height (cm)01020304050607080weight (kg)\n" + ], + "text/plain": [ + "@vlplot(\n", + " layer=[\n", + " {\n", + " mark=\"point\",\n", + " encoding={\n", + " x={\n", + " type=\"quantitative\",\n", + " title=\"height (cm)\",\n", + " field=\"height\"\n", + " },\n", + " y={\n", + " field=\"weight\",\n", + " type=\"quantitative\"\n", + " }\n", + " }\n", + " },\n", + " {\n", + " height=400,\n", + " width=600,\n", + " mark=\"line\",\n", + " encoding={\n", + " x={\n", + " field=\"height\",\n", + " type=\"quantitative\"\n", + " },\n", + " y={\n", + " title=\"weight (kg)\",\n", + " type=\"quantitative\",\n", + " field=\"sci_pred\"\n", + " },\n", + " color={\n", + " value=\"red\"\n", + " }\n", + " }\n", + " }\n", + " ],\n", + " data={\n", + " values=...\n", + " }\n", + ")" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "howel |>\n", + " @vlplot() +\n", + " @vlplot(:point,\n", + " x = {\"height\", type = \"quantitative\", title = \"height (cm)\"},\n", + " y = \"weight:q\"\n", + " ) +\n", + " @vlplot(:line,\n", + " x = \"height:q\",\n", + " y = {:sci_pred, title = \"weight (kg)\", type = \"quantitative\"},\n", + " color = {value = :red},\n", + " height = 400,\n", + " width = 600)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Results" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plot all model results into 1 chart:" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [], + "source": [ + "function build_pred_fn_lm(chain)\n", + " params = DataFrame(chain) |>\n", + " @select(:α, :β)\n", + " \n", + " (height) -> params |> \n", + " @mutate(mu = _.α + _.β * height) |> \n", + " @select(:mu) |> \n", + " DataFrame |> \n", + " Matrix |> \n", + " mean\n", + " \n", + "end;" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "

5 rows × 5 columns

heightweightmodel 1model 2model 3
AnyAnyFloat64Float64Float64
1151.76547.825642.362341.310644.6176
2139.736.485836.32732.256534.8001
3136.52531.864834.738830.223432.4809
4156.84553.041944.903545.84649.2496
5145.41541.276939.185936.267139.2481
" + ], + "text/latex": [ + "\\begin{tabular}{r|ccccc}\n", + "\t& height & weight & model 1 & model 2 & model 3\\\\\n", + "\t\\hline\n", + "\t& Any & Any & Float64 & Float64 & Float64\\\\\n", + "\t\\hline\n", + "\t1 & 151.765 & 47.8256 & 42.3623 & 41.3106 & 44.6176 \\\\\n", + "\t2 & 139.7 & 36.4858 & 36.327 & 32.2565 & 34.8001 \\\\\n", + "\t3 & 136.525 & 31.8648 & 34.7388 & 30.2234 & 32.4809 \\\\\n", + "\t4 & 156.845 & 53.0419 & 44.9035 & 45.846 & 49.2496 \\\\\n", + "\t5 & 145.415 & 41.2769 & 39.1859 & 36.2671 & 39.2481 \\\\\n", + "\\end{tabular}\n" + ], + "text/plain": [ + "5×5 DataFrame\n", + "│ Row │ height │ weight │ model 1 │ model 2 │ model 3 │\n", + "│ │ \u001b[90mAny\u001b[39m │ \u001b[90mAny\u001b[39m │ \u001b[90mFloat64\u001b[39m │ \u001b[90mFloat64\u001b[39m │ \u001b[90mFloat64\u001b[39m │\n", + "├─────┼─────────┼─────────┼─────────┼─────────┼─────────┤\n", + "│ 1 │ 151.765 │ 47.8256 │ 42.3623 │ 41.3106 │ 44.6176 │\n", + "│ 2 │ 139.7 │ 36.4858 │ 36.327 │ 32.2565 │ 34.8001 │\n", + "│ 3 │ 136.525 │ 31.8648 │ 34.7388 │ 30.2234 │ 32.4809 │\n", + "│ 4 │ 156.845 │ 53.0419 │ 44.9035 │ 45.846 │ 49.2496 │\n", + "│ 5 │ 145.415 │ 41.2769 │ 39.1859 │ 36.2671 │ 39.2481 │" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pred_fn_m1 = build_pred_fn_lm(chain1)\n", + "pred_fn_m2 = build_pred_fn_lm(chain2)\n", + "\n", + "h = howel[:, :height]\n", + "\n", + "results = howel |> \n", + " @select(:height, :weight) |>\n", + " DataFrame\n", + "\n", + "results[:, :\"model 1\"] = pred_fn_m1.(h)\n", + "results[:, :\"model 2\"] = exp.(pred_fn_m2.(h)) # because model 2 assume log(w) ~ h\n", + "results[:, :\"model 3\"] = pred_fn.(h) # from previous section\n", + "\n", + "first(results, 5)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.vegalite.v4+json": { + "data": { + "values": [ + { + "height": 151.765, + "model": "model 1", + 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7xgcC7Bw+nqWrc8gaFSU5FOI81TuHTz8NwNIx1/D1ku+AxhkP5TCSEE2g5tRNaaUvdFtphTf4s5OL4WcfKWLR2j34Aiad2iWQkuihpMLLvBU7KS6vbtpGC9HKNCiHX+5mwIoFAOyb+kPJoRCNpF45XLkSvvmGyvgkvh15eaOOh2E/4uv1enG73afcZpomDocj3C8tRIvRq1Mb1u04whebcigpr8YwFJv25Ns/y2gTut/mfcfQwOShXRnVvxNaa/61ahdb9xewPec4o/p1aqYeCHHha0gOu+zcRJv8w5CRwdWP/hTfl3slh0I0gnrl8KmnAPhm0nWMH9m7UcfDsB3xff3110lLSyMzM5NZs2YB4PP5uPnmmxk4cCDDhg1j586d4Xp5IVqU7unJjB3YGdO0WL8rj3U7juA3LS7p05G+XVJC9ztRZk/279IhEQClFF1S7a+LSqtOf2IhRL01JIdDVtpHe7n9dpTTKTkUopHUmcMdO2DhQswoN99Muq7Rx8OwHPH95ptv+P3vf8+WLVtISUnh2LFjALz66qsYhsG2bdtYunQp99xzDytWrAhHE4RoESqr/RwtqiDa5WDcoM707ZrC/rxitNZ0TU0irW1c6L7VvgAl5dXkHi/jzaVbuHZML3p2asOugycASEnyNFc3hLigNTSH3rx8Mr/5Aq0MsqdcSxfTkhwKcZ7qncOnngLLYuuEq9njdTT6eBiWwvell17ivvvuIyXF/gTdPrjTxoIFC/j5z38OwOWXX84tt9xCcXExSUlJ4WiGEM1qxaYc1mw5hGlpANokxHDtmF6M7NvxtPtWVPt5cf5GCkuqqaz2s/VAAbsOFZIcH01SXDTxnij6dzv/HWuEiDTnksPeSz/GFfCxqdcwnll5mOSNxyWHQpyHeufwyBH4xz/QhsGn464Py3gYlqkO+/btY8uWLQwZMoR+/frx/vvvA5CXl0d6ejpgH7JOT08nLy8vHE0Qollt3HOUlZsPorFP67RNiOFEaRXzVuygymuv1lDlDVBcXk2V18/L8zey5/AJXC6D68f1pkd6MqalKSiuJCkumlmT+hMb7Tr7iwohTnEuOdx7qJARq+xpDjumXC85FOI8NSSHgaf/DF4vGweMprRjRljGw7Ac8dVaU1hYyPr168nJyWHkyJFMmjQJh8OBaZqh+9W+yG316tWsWbPme58vOzs7HM1sMVpz/1pz3+DM/Vv57WEqK6uYPCiN7qkeNB4Wrc8l93gxi1dtJqegnPziagKmxfFSH76AiaU1Xq+X/UdO0LV9HL07xlNS5qVLG4OK4nyyi5u4c/8mUv8uW4PW3Ddo3Bz2yd5CSt5BihLasrv/MHq7oySHTag196819w3OP4fO8jL+79+fxQm8d8kPyD9aFJbxMCyFb0ZGBmPGjMHhcNC9e3cyMjLYv38/HTt25NChQwwdOhTTNDly5EjoCPCYMWMYM2bMKc/zhz/8AYDu3buHo5ktQnZ2dqvtX2vuG5y9f3rDcTwexYhBvUmItVc1GVDqoHBjDuv3lxAd5aJNUgKHC8oIaDC1RmHgjorCV+UnO7+CeI8brTVpqal07376admaNjSVSP27vNC15r5B4+dw8oZlAKwYfjl7C6qJ92jJYRNpzf9WW3PfoHFymLl4HjHVlWztPoDs9ItoE6bxMCxTHX74wx+ycOFCAoEAu3btIjc3lx49enD99dfz8ssvEwgEeOeddxgxYgRxcXF1P6EQF5iaifdb9hcA9gUzuw+doKzKhz9g2TuyJXvw+gNEOQxcDgPTsoiLcdGvawpxMVGUVlZTXuUjyiX7zAhxLhqaw5SqUkZs/wrLcHDkupmSQyEaQX1ymBrrYMKKDwBYOPa6sI6HYUlyVlYWmzdvZtCgQURHR/PGG2+QkJDATTfdxHfffUf//v3p3Lkzr732WjheXohmN6pfR/bnFfPphv18vT2X4vJqyip9+E0Trz9AwNRUev32nCbTwjI1DodBtNtFTn4JZVU+YtwuPG4XVV5/c3dHiAtSQ3M4+atPcFgm24eOY6svSnIoRCOoTw77f7KIhLIi9qV156uO/XFowjYehqXwVUrx6KOP8uijj55yu2EY/PGPf+SPf/xjOF5WiBaje3oy143tzfL1+9mTe4LCkkq0Bo39abcsykdCnBt/wMJvWqA1ltaUVvooLq9Ga0hMchPriZIjTUKco4bk0PL7ueLb4DSHUVdLDoVoJHXlsNJZxahFbwMwb+Q1BCwrrOOhJFmIMOnfrR3+gMmB/BKinE5i3E7Kq/1UewNUeP1Uev0YhgHaXt7F0op9uSdQSuE0DPblFeNyKK4fl9nMPRHiwlXfHF66ax0pZSc41LYjS+I6Q7VfcihEIzlbDodt/IKUE/kcbtuRL3uNAMI7HkrhK0SYHCuq4IOVuzl8rBSUwulQaNOyZ9ab9qddQykspdBaAxZag2GAy+kApUEp5q3YzqAe9pqFpqXZsCuPnPwSlFLEUEW3bhqlVHN2VYgWq745vPrbpQAsHDYFSysckkMhGs2ZcqiUZsbaDwH4cNS19gAY5vFQCl8hwuB4SSWvLNpETn4xvoC9hN9xfwCFwtIapexs+y0LQwEaLEApcBgGSXFupo2+iPe+2MmxExWUVHiJi4ni9SWbyS0oC71OZWUlxf5tzJrcHxlyhThVfXPY6eh++h/cTqXbw6f9x0oOhWhEZ8vhyB1fk1GYS35iOz7tOxrVBONhWFZ1ECLSfb4xh2NFlZimhdYabdn/tywLFZzbpMCe2xtMeDDvGEpRXuXH7XailEIDAdPim51HyC0oo21sFDelG1w3tjcet5N9uUV8tze/GXsrRMtU3xxmfbMYgE8HTqA6KqZeOWwTH8308X0kh0LU4Uw51JbJDWv/BcAHl0wjoIwGj4fnkkM54itEI7AszeZ9+RwuKMNhwO5DhRwuKMUfsEKjq9bBYjf4H60ArVFK22d2tEIZ4DctLO1j8dp9+AImHZJjaZMQw6FjpSjL4ua5fyJx6SJYsICDPdqw4UA5B4+VMqhnh2Z8B4RofueSw8SqEsZvX41WivlDr6hXDgEmDetGny4pABw8JDkUokZ9c3jxvo10zz/Aibhklg2caGezAeMhnFsOpfAV4jwFTIvXlmxm+/4CisqqCViaymq/HXIFoXMuCrT9GRalNSiNVgq0AqVRhh14S2s0itzCMmKinNxyhX3axrBMrn35dyR+uRQSEiA6GrzBp5bzqyLCnWsOr9q4lKiAn697DicvOTU08J4phzVPE7wm9RSSQxHpGpLDmWveB+CDS7LwO+1dfOs7Hp5PDqXwFaIBisurWb8rzw50VRnJ7dLZtDef7dkFlFT6aJvoQaHYm3sCsINrUGtqQ813CjQqFF7DUMEA2ylWGrq0T+TurMH07NgGTJMJf3mctl8uxRcTS84rb1PapgsbVm8HRxRdU5Oa/L0Qork0Vg5dlp+rg0uYfXzx1LpzCHTukMD2nOMs37Aff8AkYFls2HdCcigizvnkcNj+zfTK20dxbCJLBk9q2HjI+eVQCl8h6ulAXjFzP91GwLQAeyL9/sINxEQ5OVFWTXpKHOMHd6GorJr9R4sxLSs0T8mma/5nJxkj+AlYY9Wc2qkZlpXC4TCIi4kC04TbbqPt/A/we2J566GnOFwRD2v3UukNMCQzjX5dU5r43RCieTRmDsdtW01SRQnZHbryXde+9uGjM+UwaHjvdHbkFJKTX8JHa3bbbZAcighzvjmcudo+2vv+iCyqXVGAqt94GHQ+OZTCV4h6+nD1LgpLqrCAKIdBlTeAX1dRXuXHtDTVPpN1O44AYJlW6OiS/UlWozFQyr6SHCsYcm2htUIpUAYkeKJQKAzD4OiJcr7ZdoisF38Hb70FCQk4lyxhaLvuJOcVYxj28i2Xj+ojyyiJiNFYOTSU5rpvFtnPefFUtMUZc7huxxGmje4F2Eejbp0ygM37jrFfcigi1PnkcOj+zfTJ3U2JJ4Elwy5H6fqNh42VQyl8haiHkgovOw4WUlhSRbTbjo3LAF1t2ksjWRaHC0qJjnLQOTWJmhwD9mBba9L+yQtr9Kmnd5TC6XDQp0sKpRVeDucVkfn4w/D5QoiNhfnzUZdeymBgcHDifnZ2tgy2ImI0Zg6HZW+mS8Ehjse3YWXf0WfM4cH8EvKLKk5ph1KKwT07SA5FRDrfHN64+j0APhjxA6qd7uBPzj4eNmYOZTkzIeph18FCCoor0Wh6d2rDgG7tiI9xUlnlx29aeKJdBEyLPbknWLouG8vSoXM6dpxrpjjUOuWqsWOu7ACjwbIsJg/rhq/axz3v/4WLPl9oX8i2bBmMG9csfReipWjMHF739XwA5g+7CtNwfm8Oq30BlII2CTHN1WUhWpzzyeHQ7E30yd1NsSeBhcOm1Gs8bOwcSuErRB2Ol1Ty3hc7CQTnKKW1jeMHoy4iYGp8AYuqaj/xsW5A4Q9oAqZpL1NmBONV6+OuQtvTe4MBdzgMHA6FO3hFa5Xf5PX5G7jmpf/m0s0r8cXEsurJFykeMKQZei5Ey9GYObzo6D4G5Wyjwu3hkyGTvjeHry7cSO7xMgIBi325J/h4zW6Ky6ubpe9CtBTnm8NZNUd7L5mG1xVV53gYjhzKVAchziKvsJzXFm/mWFE5BgpLw4pNB/ly62FKK71YWuNQiiOFZVjasu+DvQSLwgxO0Iea68k1BvYS3PbnXEuboV2kLK0JeP3c8N5fGLN1FdXRHuY+9BSHo9NZO38jd/9gCMnx0c32XgjRXBo7h9O/so/2LhkymQq3B/VvOfT5TI4VV9q7urWLp9pnsmlvPjsPFkoORcQ63xxevHcjvY/spSg2iYVDL69zPAxXDqXwFRFNAxt3H2X7gQKq/QHS2sYzdkAGCbH2vKNPvskmYFpktE/AcJThcjgorfBSXOFHa4sYt5O4aDclFVU4DINAzSR+ZWBfLVOzYH5wJ5rQJN9g1LV9m09bOLTFw4ufY9TWVXhjYjk29z2uHjeWFZtz2HWwkE+/PcD08ZnN80YJEUZNmcNOJ/K4dNc6/A4XHw+/6rQcKiAhNopETzQd28Vy/dg+JMVFSw5FqxfOHCptcvOqdwF4f+Q0fC53rd1kTh8Pw5lDmeogItrHa3azYO0esvOKOXK8nA278nj+428pqfCitebI8TKUUlzarxNOw6C4rJpqX4BAwMK0wOe3KCipwOezQsu6nLI7G/aV4jWLbKt/m+Nb840Di4cXPseozSupdsew+a+v0/naK+nQJparLukBQG5BaVO9LUI0qabM4Q+//hhDWywfMJ4Tccmn5FApiHVH2auaoRnWK53endtKDkVECGcOL931Dd3zD1AY34ZFgy+3f3aG8TDcOZTCV0SswwWlbN6bT3SUk+njM7nz6sH0ymhDtS/A8vX7UUrhchqcKK3iq+25xMZEYSiFaWo0Gq3t+Utaa3TwSnFdU+Hq0AY0AKErTUOfagFDgcvloGdaEr/97GVGb1lJlTuGp277DUd6Dwy1s7LaD4CrZmcbIVqRpsxhu7ITTNy6CksZfHBJ1ik57N6xDYO6t6df93YETIvySh+V3kConZJD0ZqFM4eGZXHT6nkAvDvqOvwuez3e7xsPmyKHdU51KC8vZ+nSpWzatImKigo6duzIuHHjGD58+Dm/qBAtQe7xMsBeGqxv13YAXHVJT3YfWhf6Wef2CWzee4xjxZWktvFgOAwMQ2GahEZTXWt0tctb+9DSySNOBE/phM63ooIPiQJufP33DNy4An+MhydvfpS9Gb3R2ceIjnKSFOdm/a48AHp2TG6id0aIptOUObz+649xmgFW9B1NXnKHUA6dyqDa66dNXDRpbTzsyLHnGW6RHIoIEc4cjt+2is7HD5Of1J6lAyeecTxsqhyesfAtLS3lv//7v3n++ecpLT39kPKQIUP43e9+x5VXXnnOLy5Ec3I5gleO1vo0WR382umwT4Z0SU2i2ucHFLkF5Xj9AXuifnAfcftSGQOtgqs1BNfnDRW8ACi0slNZXwAAACAASURBVM/jqFp71yht8dP3/8qI7Wuodsfw37N+zY7Ui2jrdlFQXMHabYdxGPYTpafEMWFIlzC+G0I0j6bKYXJFCVM2f4ZWivdGXnfyMylQ5fPjL7JPz24/cAzTgrYJMZJDETHClUOn6WdW8Gjv3DHTCThcdnH8b+NhU+bwjIXv008/zZNPPsnIkSO55ppr6Nu3LzExMeTl5bFu3TrefvttrrrqKsrKyoiLizvnBgjRXLqkJuIwDL7LPkaM20linJv1O+1Pkz3S7U+TG/ccxR3lIjEuis7tEtmbW0hhWTWBgP2JVWn7FI9SnFbsnpy4X7NnFMGPtqC05j8WPsv47Wuoiorh8RmPsKN9d6KVol2yB601/kCAEf0z6JKaRL+uKbJAvmiVmiqH13/9MVEBH1/2HkFO+07BU6wqtLFFwDI5VlQBCqJdLsmhiCjhyuGUzZ+RWnyMgymdWNFvDN83HjZ1Ds9Y+I4bN47169czbNiw035266238uSTTzJ37lxcLtc5v7gQzaltQgyXD+/GJ99k89X23NDtqW1imTi0KxooKq/GZSjaJ3lIjosGDEyzZv6gPvWMjVLB0zycDH7Nut2hgIOBxX8sfJYJ21bbRe8N/8mOTr1QGnp1SqZ7WjL5J8rxBSzcUU76d2vX1G+NEE2mKXKYVF7CVRuXo1G8M+p6+2JTRXCxpeAWqajQfGDJoYg04cih21/NDWs+AOCtcTdgYQSzp2uNjU2fwzMWvpdddtlZH+jxeLjrrrvOuwFCNKcRfdLpmprIjpzjVPkCpLeNp3+3dhiGQmuNQxm0S44lr7CcnTknqPL60dq01x+smT8Y3Fs8tDNUzWlWCM1fqvltoLB4cEGtovdHj7C/W1/w+UEpSqt8HC4opcoboKC4gkPHEprrrRGiyYQ7h9evm4/b7+Xri4azv33X4IdSjQ5eVq4UuF1O+zSu5FBEqMbO4bXfLCS5ophd6T35qpd9XVjt8VA3Uw7rvLht9erVrFmz5tQHOZ1kZmZy5ZVX4nDIFa7iwtY+OZb2ybGn3a6UIqNDArsPFxIIWFiWRZTLgdenQ8sjWSiUVqHBFoLbLoYEC2BLo7TFg4ueY+K21VS73Dwx/WF2dOqNwzTte2rN4O7tuaRfJz5avYtDBSYFxZVh7bsQLUW4cphUUcLUjcvQKOaOnk5oCrBSoSNOAH7JoRCNlsPEqjKuD24L/saEm9AY1B4PmzOHdRa+y5cv54knnvjen02bNo2PPvqoURoiREsUG+2iqMzeHlFrjWEoDKUwFFhWcKaSEbwklZowh1YmDP1CMCyLOYueZ+LWVXbRO+NXbOvcF9BYwVNFCsXWnOP06NQGfyC4BqLMJxTivHI4/asPcfu9rO11MdkdugYzVZO5GpJDIerSkBzesOYDPN4q1vcYwpbOfQjlMhi/5sxhnYXv5MmTeeedd0hPT2fUqFGsXbuWQ4cOMWDAAD744ANWrVrF2LFjG6UxQrQkB46WsGLTQaJcThI8Lsqr/ZimvVC3GTCpiWvNIBu6lk3V3GZP9je0xZyFzzFx2yqqomJ47Ib/w470Xth3NYKnZBVRTicFxZUs/SYby9LEx0SR1ub0T95CRJLzyWGbshNctXEZWinmjpkROrWqVPDYcGiur+RQiLNpSA7TivPtsyxK8cb4G08ZD4Fmz2Gdha9lWRQWFrJ161acTiemaZKamsq9997L5s2b2bx5sxS+otWp9gXsPclPlKO1hddvkpIQQ0V1gCpvhT35vuYCGk6eYq25OlUFF/B28D1Fb8dep3zCBYP4GBeGoYhxO8lon0BxWTWeaBdd05Ka7T0Qormdbw5v/PJ9ogJ+VvW5lP3tO4fm/oZWGA0FUXIoxJk0NIe3fPEOTjPAp/3Hc6B959B4qE7WuM2awzp3blu/fj0lJSWsWrUKy7L46quvKCkpYePGjaSlpVFRUdEoDRGiJVm4di+HjpXgD9h7hldU+ck9XkZBcUVwuZba85JqLk+F0OKFWmFokzkLTi96Q/sXB4doh6GJ90SB1vj99lIuftMiPSWekX07NnnfhWgpzieHaUX5TN68AtNw8I+xM05/csmhEPXSkBz2ytvD2B1r8TmjeHP8DdSMhyfD+W+aIYd1HvEdM2YMlmWdssqDw+Fg9OjRPPnkk3Tr1q1RGiJEc6v2Bfgu+xgFxZWs3JxDWaUP09IYWhEwLUzTOmWN0JqLZ0IX1Kia1Qk1yrJ4cOHzoaL38Rv+DztrjvTWrLGkQSkDp+Egzu0iOS6anh2TSYqPoXOHBIb1Sgst2C1EpGisHN686l2clsnSQRM53CY99Jk09FDJoRBndK45vOOzt1BoPh4+lcL4NhCcflRzEVtLyGGdhe+IESN4++23+e1vf0t2djbdu3fnscceY/Dgwbz11ltccskljdIQIZrTtgMFPPvhBkoqvGitKa/0odG4nA4srWsdVapZnFeHPukqNCjj5L7kWDxYa3rD4zMeYXt672BRbD/eXh7GItbtJjnBzZDeafzg0p4kxUU311sgRLNrrBz2yD/A2B1f4nO6eHv09aHsaa1QSnIoxNmcaw5H7/6Gfod2UuJJZN7IaSfXy1YKjVUzsaHZc1jnVIdPP/2UrKwstmzZQkVFBVu2bGHgwIG8+eabTJ48mfj4+LA0TIimUu0zefZf6ymp8JLgiSI9JQHLzjJag6FUqKitfbpGoexgaxW6WtWBxYO1pjc8/qNfsaNTb1DavqZVgcvpQKGJcjro2SmZrqlJXD+2twy2IqI1Zg5v+2IuSmsWDp3C8YT2J19EcijEWZ1rDl2myW0r5gLw1tgZVEZ7Qis42GvY1yo3mzmHdRa+q1at4kc/+hF+vx+AnTt3ctlll3H48OGwNUqIprQlO5+SSh9JsW4ev20sw3ul4nIaaCBgWTgMdeo0JOzQaoV93kZhr95g2ZtTnCx6H2FHx96h0zpKK7A0/oCJMhTtk+KIi4nimjG98ETLDogisjVWDodkf8eQ/d9RHh3LvFHXUrOLm+RQiLqdaw6v/vYT0oqOciilE8sGTgxNuVcKMGhROaxzqkNmZiZPPPEEt99+Ow8//DBXXHEFxcXFjBo1KqwNE6Kp5BdVYmmNN2DxwscbOXSsNHjq1L5KvMobILStjGWdnJOE/SlWBXdkm7PwuVN2ZNvRKdP+ZFzzaVcF1ydUiiSPmyG9OjBrcn9iZbAVolFyCJrbV/wDgPdGXkNpdBw1M+8lh0LU7VxymFhZxo1f2lsTvzLxFkyHI3gWxr6fDq26QovIYZ1HfGfOnMmf/vQn/vGPf3DxxRdTUVHB/PnzueKKK8LeOCGaQvfURLy+AEWlVZimhSfGDp5dtHLytI4+uSy+qn2qR1unrN7w+IxH2N6pd3CdwppJ//b9nU4DT7QLZSiOnqjACj2PEJHtfHNoAZO2rKTbsRyOJabw8bCrQveXHApRP+eSw1tW/pPY6grW9xjC+u6DCF26pmot2tCCcnjGwnfbtm3MmzePefPmkZGRwcSJE/H7/dx1112UlJSwbdu2JmmgEOGWEBuN2+VEaziQV0LBiUp8voD9Q13zn+CV40qF1iAE7G2IgxeyVUdF20d6M3qfXNWs5jLW4P1jXE601sH5UpqjheVN2lchWqrzyaEGogNebl71TwD+d/yN+F0uyaEQDdTQHHY/lsMVmz8jYDh4+bJbQtMf7PMxyi52W1gOzzjVYd68ed+7VfEzzzzDM888w+OPP06/fv3C2jghmkJxRTU90pMpLq+itNJPZaWfkzuJq+BKKzXzk4KnZ8Deka3Wkd4nZgQvZNMnB+TavyQMQ1HpDWBpHVr6ReYUCmE71xwCoDXT135E27IT7Ervycq+oySHQpyDhuZw9vI3MLTF/OFTyW2TFipyQ+FsgTk8Y+E7bNgwZs+efcYHDhs2LCwNEqKptU2IIWBaKBQup4HTYRCwrNAJmZpVQlHBLReVcVrRG1q9gVrj8snlCQF7SpS27E+3vkAAQyk6JMtWqELAueUQ7KNI7UuPc/26BWgUL0+6FR2aCoHkUIgGaEgOx23/kv4Ht1PiSWTu6Ono4BHeWmlrkTk8Y+GblZVFVlbWeT15bm4uv/3tb5kzZw59+vQB4Msvv+TDDz+kV69e3HHHHRhGndOMhQiriiofhaVVVFT5qPQFsCzr5CLbCrBOnlbVyt6R7YFa6/T+Zsav2N4x89RfDKFvVOi5LAschsKhwDAMemUk43TIv38hoOE5DA2hCu74/C2iAj5W9B3Nzo69JIdCnKP65tAd8HJH8ELS/x1/AxXRHvt+mlAB3FJzeMZXWb58OV9//fUZHxgIBHjjjTfwer1nvM/DDz/MsmXLyM3NBeztj++8807Gjh3LihUrePTRR8+j6UI0jqXr95PaJpaeHZPxuJ04DOPkMi1ao2uWSkJjaHud3su2nlyybHunk0Uv2PfXcPJUj4LEuGgmDe3KD8f1oX1yHImxbhJjY5qlv0K0RA3JIdQcQNIMytnOmJ1fUe1y88aEmySHQpyH+ubwhi8/IKW0kD2p3Vk2cII9XeHkNW0tOodnPOK7Zs0afvOb3zB8+HCmTZtG37598Xg8HD16lHXr1vGvf/2L/Px8fvjDH+J2u097/OLFi2nXrh29e/cO3fbiiy/y0EMPkZWVxYQJE+jZsye/+c1vcLlkfpVoHr6ARWFJJR63kwd/dAlPzv2KfXlFnCitwkLbaw0GF9o2TJM5C1+otXrDr9jeqRdQsy5h8KIbVbOKiwpdCVtR6WPr/gJMSxMwNW3j3XTukNCsfReipWhIDrFObk1sWBY/WfYqAO+Ouo7jCW0kh0Kco/rmsOOJI1y3biFaKZ6fcgeWMoJhC05FomWPh2csfB966CFM0+Tvf/87jz322Gk/v/TSS5k7dy5xcXGn/ayqqor/+q//YtGiRdx4442h27dv385dd90FQHx8PMnJyeTl5dG5c+fG6IsQDVJW6WP1loMcPl4GKDbszmPCkM7syyuqte6gRunghWyLXji5esOMX7Ejo0/w6JOuNbcJe3zWKnhBAPZpHa0pLK1Ca43H7WJkv3QyO7dtpp4L0XI0JIeAPbdXg1aarPVL6Hz8MHnJqXw4YurJBfNBcihEAzQkh/csfQ2nGeCTQZPYld4DLLuwtbX88fCMhW9cXBy//e1v+c///E8+++wzNm3aREVFBR07dmT8+PFnXdHhd7/7Hffccw9JSUmn3F5WVobH4znlNUpKShqhG0I0TFmllxc+3kil14+hFGVVPl5ZsJl4j5uS8mpqTtQowMDigYXPM3HrKqpdbn77w1+yIyOTmlM/ShnBM0E6tGRLKPQolAFxMVEM7NGeA3klxMVEkTWqV61fFEJEpobksPaaoEpBSkkRN61+D4DnJ9+G3+GWHApxDhqSwzG71jL4wBbKYuJ5Y8JMlFUzxeHCGQ/r3LktOjqaqVOnMnXq1Ho9oWma/O1vf2P27Nk88sgj7Nq1i5dffplOnTrRtm1bioqKQvc9ceIEKSkpAKxevZo1a9Z873NmZ2fX67UvVK25fy21byu25nO8qJROKR7GZ3Zi2eY89uSVU1BSgaVPzlEyLJMHFr3AZVtX2kXvjF+xpXNfe5VCrYNh1aH1DRVG8JNt8BeFAqdSxLgMJmQmscrycbzUy7Zd2bSNj2q2/p+Llvp32Vhac/9aat/qm8PQ6FlrbLz7szeI8VWxttfFfNtjMJLD1qE196+l9q2+OfRUV3L38v8F4PXxMymLiQe44MbDOgvfhjIMgxdffDH0/SeffEKvXr1ITEzk4osvZs2aNYwdO5ZDhw6htaZDhw4AjBkzhjFjxpzyXH/4wx8A6N69e2M3s8XIzs5utf1ryX1bvPkEHo+HG6cMp21CDGMv7s+Df/+E/bmlKMMOrkNbZyh6QemaEzc1l7vWXMkaPCVbM7EJTVxMNG2T4qiwPPi0i7g4J4P79cLlPP8rWJvyF2lL/btsDC353+r5asl9q08O7aO9RmjHKKVg+L6NjN75NdVR0bww6TYkh61DS/63er5act/qm8NbVs+jTXkROzv2YtmgywAuyPGw0QtfpRQzZswIff/qq68ybtw40tLS+NnPfsbll19OcXExy5Yt4/HHH5flzESzqAlZtS/AnsMnWPTVXo4UVthXrAbn9D6wsPbqDb9ie6daO7Jx8k/7tI4KzuYP3hAcpB2GgddvkltQxrIN+4lxO7m0X8dGCbkQF7q6cgi11w5VKGXh9nv56VL7gra3xszgeGJbgsecJIdCnIP65LDH0Wyu3vAJpuHg71PuxFJcsONhoxe+/+7+++8PreHbpUsX1qxZwxdffMGsWbMYOHBguF9eiO/VLS2JoycqmLtsK8eKK6j2mZgB+xOpYWkeWPT8yaJ3xiPs6NT75OCLrpVnVTMROHjxTc1VrBqHoTAMhd80CVgmx4oquHJkDy4b2q3Z+i1ES3K2HNZs96RqDZyguHnVPNqXFLAvtRvzh10pORTiPNWVQ4dlct+SlzC0xQcX/4AD7btc0ONhnYXv6tWr2blzZ2g1BoAlS5aQkZFRry2Lr7rqqlO+b9euHdOnTz+HpgrROExLk5wQgy9gkn2kiLIqH5alMS0TQ2vmBDenqI6KDu7I1ss+bYNGY1ETZvv0j30Fq6E10W4XLoeBN2Di85sopfBEu0hN8pCWEk9ZpY+DR0vw+gKyRaqIeGfL4SkLgqLQyt6L7aK8bKZ9sxjTcPA/V87Gcjgkh0Kch/rkcNqGxfQ4up/8xHa8PXb6BT8e1ln4Ll++nH/+85+nFL73338/s2bNqlfhK0RLUun18/rizRwvqcLlcFBe5cPvN3E4nTiwuK9W0fvYjx5hRyd79QaltX32RhnYV68CSqMsZU/oNyA22sWgnu0pqbAD7Y5ycusV/bmkXyfQmrc/3c7e3BPsPVLEwO7tm/mdEKL5nC2HhtKYWodqXx2cxuA0A9y/6AUMbfH+JdPITu0mORTiPNQnhx1KjjFr1TwAnptyJ9Uu9wU/Hp618H3kkUdYvXo1BQUFPPLIIwBUVlayf/9+oqOjm6SBQjSmT9Zlc7ykig5tYumQFMu2nAIIWEQZcP+iFxm9daVd9M54xN6GODgxX4eeQZ8864odcENpDOWguLya9buOclHHNniio0hJjKFvt3ahxfbT2saxN/dEcHkYISLXmXLocig8sTGUVlThD9TOGtzw5Yd0LTjIkeRU5o6ZLjkU4jzVlcOyikruXfIS0X4vX/QdzYZugwEu+PHwrIVvzaoK//41wMiRI8PTIiHCKPuIvZzerEn92LK/gDi3i4A3wD0f/pXR331hr94w/Zdsz8gMzWHSNUefQnP1gwt011ytqkBrC8Nw4PebpLa1t3vcd6SIb3cdZfzgzlR5A+w8eByA9smnb/oiRCT5vhz6fSb+gEmVFwLmyZ3aFNDj6AGmr/0QrRR/mXoPXkeU5FCI81RXDsdtXMngA1sojYnnpck/tg8CtYLx8KyF7wsvvMD8+fNZv349TzzxBAAul4tBgwYxdOjQJmmgEI1FA76AiQKio1zEx0ThcTu5ddFzTAgWvf/1o0fYktEXhRV8VK21Q5VC6ZNbMtb82NJgoIhyGXjcLvJPVDBsZBrZecWs/O4gX+84gt80sSxNWts4enZMbuquC9FifF8OY6JdlFb58AcsfH6LmiFVYeEy/cxZ+CxOy+Tj4VexPaOP5FCI81RXDj1FJ7jjM3vN3pcn30qJx16ztzWMh2ctfGfPns3o0aM5dOgQV155ZVO1SYiwUEB6Sjw5R0tYsm4f/bu05bZ3/8LwzStOrtOb0Qf79I36t8W4Qalan3SD9bC2LAzDXqTbb1p0TU2i5gE/mtiHTzfs53hJFQ5D0a9rO664uBsOQ3aKEpHrtBx2a4fHHYVllQOagGmF7qu1Ytaq9+lacJDcNmm8MW4mCsmhEOerrhz+ZPGLxFeV802PIXzWdyyK1jMe1nlxW79+/YiKiuLZZ5+lrKwsdPvo0aNP23BCiJbuiuHdeW3xZjbtOkKXX97P8K+WUh0VzRMz/y/b0i+qFWo4OX9JowyFfQFrzeKFNfdTOB1GaFOp2GgnFdV+oqOc9M5oS++Mtnj9AVwOB4YMtEIAJ3O4cc9RNu45Cli4HEZwlygzNG+wX+5Orv96PpYy+PPVP8XndksOhWgkZ8rh6K2rGbn7GyrcHv4+5e5WNx7WWfh+9913jBgxAq/Xe8rtjz/+uBS+4oKT1jaO2VcPonLWLXReswSvO4aXf/47Aj0HwKFCCG6vqIOfb5VSNTcFP9XW7FAT3NI4eLrH7XLhNy2OFJbTLtFDlw4Jodd0u8K+XLYQF5S0tnHMzhrCqu8OsT+vhPyiCjq1T8BQil3BHHq8lfzHgmcxtMU/R13PrvRekkMhGtH35bBPdICfLnsNgFcuu4XChOTQOr2tZTysswXLli3D6/Vy991306NHj9Dto0ePDmvDhAgLyyLlwXthyYf4oz288+AfaHPZBEZ0TOapf35NldePPUOpZtuoWpeV1+zGWLMrjVLExURR5fVT4fUT5TSIj4ni6kt7Eu9xN0PnhLhwpCR6uG5sb577aAMdku0LYHrWyuE9S1+jQ/Ex9qR2553RPzz5QMmhEI3m33N4xwtP4qkoZWPPoSwfNIHWOB7WWfj27dsXj8fDCy+8EJzzKMQFyjTh9tvhzTfRcXH84/7fUzR4OA9c1o+AaQW3WrT/o0MT+EPTmGz65LqihmGf1rE0OAxFn67teGD6xSTHxzR514S4EJVV+SgoriTeE8XMWjmcuHWVvZ62y81T0+7D73BIDoUIk5ocjly3jE5rP4fkZF6c9lN7J7ZWOB6esfDdtm0b27dvB6Bz587MnDmTrKws3G67cu/bt69sYCEuHJYFd9wRKnpX//551lYnk3C8jAP5JeQcLcG0rOByLQQ/4QZDjwJt71CjDfvzr1L25atefwBDgTvKiVKKr3fkceWI7s3cWSFavrJKH59uyCb3eBkJnqhQDtsdP8I9y14F4MXJt3GkTXpoySTJoRCNqyaH1Xv2Me61pwHY8R+PUuBLAr/VKsfDMxa+8+bNCy1hBrBz507efffd0PePP/64FL7iwlBT9P7v/6Jj43j7P/7InrjOVJcWUVHt55n315HgceMLmPbSocEzG6H1Cms2aFTgUAZxMU7KqwJYwadOS4ljWM80CkoqWLcjl87tE+jbNaU5eyxEi1ZYWsUrCzdR5QtQ7QuEctgmymDO+3/G461iZZ9RLBs0UXIoRJjU5LDa6+PWt/9EdFUFmweP4b30ofj2Hm214+EZC99hw4Yxe/bsMz5w2LBhYWmQEI2qpuh94w2IjeWzJ/7K3pQeZGa05dK+HVmyLpuC4goOHi0JbrsIhgGWaV+wGlymEK3siftOQ2Fa4DBABzTRUU5mTerPmAEZbNh9lIVr97D7UGGLC7oQLckn67Kp9gVOy+GUD5+n59Fs8pI68NzU2cGBV3IoRDjU5PCatfPJzN5KaWIbXpg6m7zsY616PDxj4ZuVlUVWVlZTtkWIxvVvRa9esID1R9wof4Brx/bC7XKS2bktz3/8Ldv2FwQfpDg5kUmH1vJVKFwOg5hoF11TEzmcX0pxhZehvVMZMyADgMRYexpQlS/QHL0V4oKggUPHSlFwSg6/fPQppq5fgt/h4slr51Dp9tir4UsOhWh0NTlMy9nDoNf/Ckrhfe4FksrbktvKx8M6L25bvXo1a9asOfVBTieZmZlceeWVOByOsDVOiIbSWnOsqBKv10fHX83B8eb/QmwsLFgA48ej3vkKlMIKrpHfuUMiaSlx7DlcRMA0MS2N1hah2fzBuUvKAL9pYVb62HuoEJTC6VD4/SYFxZUYhmLNlkMApLWRrVBFZAvl0B+gfXIs0VHO2j+01wWtncMTR0h7055f+MoVt7Evrbs9j1ByKMQ5qyuHUb5qrnvht+Dzwb330u7G6aT965tWPx7WWfguX778lLm+tU2bNo2PPvqo0RslxLk4crycD1fvorC4nGmv/J7Oq5dgxnhwLFgAEyaggC4dEth16ATvfr6dYb3TOFZUQV5BOQ4D3C57KRatFKZpYln2JH7DUChDYVkaS2tMrWif5MHt1FT7Ajz30YZQGxJi3VzSN7353gQhmllNDo+XVALgdBiMGZDBuEGdAXvOYO0cXtwxjq7TsvBUV7Jq4DhWj7oal+RQiPNSnxxe896zpBzJobhrT3J//ivyvz0QEeNhnYXv5MmTeeedd0hPT2fUqFGsXbuWQ4cOMWDAAD744ANWrVrF2LFjm6KtQpxRtS/APz/fTnlFFTPeeIrM1Uvwu6N5+4H/x6CMPgwK3u+qkT05UriJnPwSsvOKCJgal8ugS1oSB44U46/ZLjW4rJk9x0kBFg7DgUJz8xX9uWxIVw4ezOFgiWJfbhEa6NIhkYlDuhDjdjXLeyBEc6vJYVmllzbxMcTFuDhUUMaKTTkkxrkZ1KMDUCuHR4u55D9/hufAPvI79eCTux/Bf7xKcijEeahXDt9/n+4L3yPgiuKdu35N3tp9ETMe1ln4WpZFYWEhW7duxel0Ypomqamp3HvvvWzevJnNmzdL4Sua3d7cIsorqpg192l6rFgAcXEcfmUuB6qSsPbkhwbcBI+bW6cM5PXFm9l3pAiHYRDviaKk1IvftEJbMoYW58YAwOlwER3lIDrKic8XIN4TRUyUg6suaXlLtQjRXPbmFlFW6aVraiK3XDEApRRb9xfwwcqdbPyeHO6+8z4yN66h0hPPmz99guPVSA6FOE915tCohLvuAsD7+yep6NibgggaD+ssfNevX09JSQmrVq1i/PjxfPXVV5SUlLBx40bS0tKoqKhoinYKcVZFJRVMe+UP9Fi9GOLiYNEiUoZdQuCdtWzJPsYrizbh95skxLnJLSijpMJL5/YJJMRG8/X2XIrLq9EKnA57HV9TB5dv0fYn2yiXQZuEfH0NOwAAIABJREFUGBI8UeQcK23u7grRIhWVVQGQ0T4xtAxSlw6JBEzrtBzGLpzPtPdfRRsGnz78/9hCPMUnyiSHQpyns+Vw+54jFMz5Je2Kizk8+jLeTh9BSXl1RI2HdRa+Y8aMwbIsLrvsstBtDoeD0aNH8+STT9KtW7ewNlCIOlkWA3/3f0hcvRh/tAc++hjX2LF8teEAOUdLcEc52bArj9JK3/9v774Do6ry/o+/771TkkkjhZAECBBAQi8iRbogqAjYsKy6z1oeF/uqu4rbbI/+xF3UbSr2tWFBQUAhYgVUqvQOoRMIhPQy5d7z++NOBhAQCEkm5fv6BzKZcs4MH8733jn3HJSl8JsWhg4tkpuwK7eIwlIvFvZC3DEeF35TUeH1Y1rgNHSuGJTJvrwSisu8lHkDxIW7v0LUUU2beADYsieP87s0x+10sGjDvuNy2GrvNv766mNoSjHrygnMicug8FCJ5FCIavBLObwx6w2ablrDwfhkHh98EwUbcxrdeHjKwrdPnz5MnTqVxx9/nOzsbDIyMvjrX/9Kjx49eOedd+jbt29ttFOIEwsuWRb30fsEgnN69+13EzFtCRt3HcJSirTEaMq8fgKmoqikggpfAA3YvPsQSqkj249rGhf2zuC7lbso9/rRdUCDA/mltEmNJ2vpViJcDlo3q49RF6LmtU1LICnOw/7DpTz30RIiXI7jchh9+BAPvPsUbr+XL7sN49VzhqIOFkkOhagmJ8thz/WLGL7gU0zDwWvXP0SRy9Mox8NTFr4A48ePZ/z48cfdPmLEiGpvkBCn7eh1ej0eyj/8BMPdHN/efHx+eymWZglRpCRG8+PaPbidBj7TCoY7uOO4BpVbMVrKYt32g/gCJpalcDkMdF1j4+48tu3Lp8wbICEmkpHn1Y95TELUNqdD57rhnfl88Va2nSCHK37ayp/eeIyEojzWpnfiPyNvxTIlh0JUpxPlMDF3HxM++SeaUrx/0W/ITu+Ar6i8UY6HJy18161bx/r168nMzGTjxo3H/b5Tp06yZbEIn58VvcyeTcywYVwPeP0BvH6T/85dTX5xBdv25VPuC6BpR7ZfRKt8ouC+45oGCtbvOogenMCvaxpNoiPwuJ1U+AI0jfNw5+W9iQ0uzC2EOF58TATXj+hyXA637znEhPcmkb53GzkJqTx1+X0EHA5CV85IDoWoNkfn0FdYjPfRW4goL2V1r8F82vtiPAGz0Y6HJy18P/roIx577DEmTpzI008/fdzvH3nkESl8RXicoOhl2LDQr91OB26ngzapTcgv3s/B/FJ8AQuFXfyGaFow7zoWKrg5jYaFwqHruFwGAdMiLspN0yYeLurTlpbJsbXbVyHqqWNyWJTDpa//jZ5bfqLIE8uTv/oTxZEx9h0lh0LUGLfTgfv+e4nZsYW8lJa8OOb2Rj8enrTwPffcc7ntttvo06cPt9122wl/L0StO7roDa7ewM+W0ysu8zF/1S6278vnQH4pPr+JZVn4/Bb2miz2puMamr0PuQWaAg0Nl8NAA5o3jeH8ri1JifcQHekmI60JTaIjwtJlIeqjo3PY570XGbT8S7xON09c/RC7Y5NBKcmhEDXMO/l53G+/jT8ikpd+/UcKdTeW5W/U4+FJC98xY8YwZswYwN6h7YsvvsDhcNCrVy8KCwvJyKh/8zpEPWdZcMstxxS9vv4DWLx6F7tzi3E6dFqlxPHD2j3kFZZzsKCM0gqfvQi3sndddGoafqVQBJdpMe39xzXA4dC5+ZIeLNm4lziPm6uHdgx3j4WoF3wBi8Xr95wwh11nTeWiee9j6gaTLvsdm9LaSQ6FqAE/z2GX3evp8NAfUJrGm+N/x8bYVPy+QKMfD09rA4vRo0eTlZXFVVddxS233MLFF1/M2rVrZaqDqD1Hn+mNioLZs/H2688rs37icFF56G7frtxJuc+Py3DgdOjERLkprfChUGCBDwt7Er8CS7OnNAEuh8HF/drRuXUSyzbtIyqy7u02I0Rd5PUHeGX2yhPmcPCK7xg/82WUpvGfSyewtG1PsJTkUIhq9vMcxuXt56JHbkM3A2QNG8/qc4cQo5SMh5xG4TtnzhzmzZtHjx49ALjoootITU3lhx9+kMJX1IrDBaWom28hcfoHKI8H7fPPYfBgFizfzuGiclITo+ncuikzFm5i78FiTEuhaeB2Ghi6hmWBrtsT9Ake3WqajuHUsJTCaRh0zWhK86axfPjtegAy05PC2GMh6p7DReVsz7G3MU1PjiMtKRqABat3nzCH/db/yK8//QeaUrx10U183WVI8DIZJIdCVNHp5LBrsyjSr7iJmJIClmf04MW+V+A8XCLjYdApC9/169fTvXt3rrjiClatWgVAixYtOHToUI03TohFa3fjuWMC3RZ8jt8dwdR7J5HgTGW0UuwJ7hgzuHsrpn65lpy8kuBkfXstwoCl8AUsdOzlXdxOnWhPBPlF5bicDqb8/hI27DzIV8t3UOELsHTDXgA6tkpiYNeWYeuzEHXNovV7+Wr5DkzLAuzVUXq2b8bofu1OmMM+W5fz+1n/QlcWU4dcw8e9LpYcCnGWTiuH3dIxr7iStD3b2JeQyt/H3o2JhibjYcgpC9/ExET27NlDcXExAIsWLWLNmjXccccdNd440bjtzS0k8o7f0m3BHAKRHlY89xo5Ma3YtjGHcm+A3QeLKSrzsmHnQXIOlxAV4STG42TPwRK78A3YX+NYaFh++z+KaAWWpSjz+tiZW8C556TSMT3JXvLM66d5UizNm8aEt+NC1CF7DxUzb9l2NA26t22G22WwamsuS0+Sw77bVzLhk2dxmAGm9RvHe/2vAMuSHApxFk43h9qf/0Sn5d9RFhnNK7c9SqkWDTIeHuOUhe+oUaO45557eOaZZ9B1nWnTphEVFcWoUaNqo32isbIsjNv+l+4L5mB6PDjmzqXPoEGUrdzJm3NWcSC/BLfTQV5ROR9/t5GA38LtdlDm9aOC63BXLsmCUliAw9Dp2CaRhStLUZZi2558OrZMwhPhpGtGcnj7K0QdtXXPYZRS9O/cghHn2lvUR7gcJ8xh1/VLmfDhMzgCfj497xLeGvorlORQiLN2Ojns9N1nnPPxFEzd4D/XPcg6dxLKG5Dx8Gf0U92hefPmfPzxx3Ts2BHDMOjUqROffPIJqamptdE+0RgFV29I+fQj/O4Itk55BwYNQinF4vV7CViK6EgXlw/qQKzHTWGplxKvj7yiMiq8fjQUcTEunIZub78YnP5QWuFj/ordaLpObHQE+w4Vh7mjQtR9ZV4/QGj5opPlsOOKhdz/wSQcAT+zel/M68NvlBwKUU1OlcObIg5zy4wXAJhy4W+Yn3yOjIcnccozvnv27GHgwIGsX7++NtojGrvKJcvefBMr0sN79z5NRWwr4vNLKfOZZOcU4NR1hvdqTdeMZN78fOUxD6/cZryg2IuGvTSLUgTn/moELJMIt4u0hOgju9YIIU4qNTEGyGH5phzSk2NPmMONT/+L/53+PIZlMqPPaF674EZAcihEdfmlHI5r4qf77RPQzAAz+l7KnJ4XAjIenswpC99XX32VJ598ku7duzNixAhGjBjB4MGDcblctdE+0ZhYFvzv/8Kbb0JUFGr2bLzFsRw4XMq/PlnGwYJS8grLiXAbpKc04b0v11FQ6gMIBlod2f1UAZpuB1yz0DVonhRLaXmAgGniN01aNYsLY2eFqB+6tGnKkg172X+SHK5+8Al+++GzaErx4flX8PbgqyWHQlSzk+Uw1VtAv98/ilZYyA+Z/Xhj2A0yHp7CKac6dO3alfbt27N8+XImTZrEhRdeSFJSEq+//npttE80FpVF7+uv2+v0fvYZxtCh3DiyK5npieTklVDuDWBaFqVlfh55/Vu+XJ6NaVkopVCWsoMeOqLVIDinyaEZaBhomka5z4fXbxId6WZoj1bh7rUQdZ7D0E+aw1U338PQKU+Dgv8OvY63B10tORSiBpwoh+7yEh548wmc+/awoUUHJl96h70yr4yHv+iUhe+VV17J+vXr2b9/P5MmTSI5OZni4mJ27dr1i48rKipi586dBAKB436Xk5NzwttFI6UU3HmnXfR6POS/9xFLktuxZMNeisp8lFb4SU2MItJtb0qhAK/PxDLVMU+jazoalV/jWCjAUhAd6aRlcgyGpgMaMR4Xt1zSHZfTqPWuClFfHMgvZcmGvSfMocvQuGXeG/zq66koTeOFi25hWr9xgORQiOp0shzGGhZ/nPY3WufuZE9iGk9c8Xt8jiPfxEsOT+6UUx1+/PFHXnzxRebPn8/OnTtJS0vjuuuuY8SIESd9zH333ceMGTNIT09n9+7dTJs2jV69elFcXMyYMWMwDINdu3bx1ltv0b9//2rtkKhnlII77oCXXgKPhxXPvcrs/GjUkmwAKrx+duUW4zdNfH4TDQ2HUyfgDa5jiH0kW7njjP13DV1pKA10DQzD4EB+GZoGLqfBgK4taJEcG64eC1Hnff3TDr5fszs0R/DoHFJezu9m/pv+GxbhN5z8bezd/NihL5JDIarXyXJo+X3c+8Hf6LxjHYdjEvjr1X+kKDJGxsPTdMozvllZWbz99tt4vV7+/ve/s2bNGt577z0GDhx40sfccsstZGdn89133/HII4/w5z//GYCXX36Zbt268dVXX/Huu+9y9913V19PRP3zs6J3zxtTmeVugWHo9GifQsdWSew7XEpphQ+f38S0FKZS+HwW2lFXp4b+V7A3YgztQ65rGhEuB2VeH6ZlERXh4oKerblldM8wdViIum/LnsMsXLP7hDmMKMznsXcep/+GRZRERPHXax7mhw59kBwKUb1OlsOyCi+3zniBvpuWUhIZzSPX/ImDsUkyHp6BU57xveGGG/B4PMyfP5/HH3+cBx98kM6dO/PYY49x+eWXn/AxXbp0Cf29RYsWVFRUADBv3jx+//vfA9CnTx9ycnLIy8sjMTGxOvoi6pMTzOld5UqjdPVudE1n4epdFJZUUFLmw1KglH2GV1n2EtxKCx7bquCVqsF0a9qRK1d1h05inIcIp4MOLRO5fHAHmjbxhLffQtRxm3fnUVrhPy6HLXJ38+ePJtGsIJfcuKY8Ov5BdiW1lBwKUQNOlsNbst7ggtXfUuF089j4iexISqu8hk1yeJpOWfi2a9eOe++9l/79+3PeeefxyiuvsGbNGlatWnXSwreSZVk89dRT3HrrrQAcOHCA5OQjCyM3a9aM/fv3S+Hb2Jyg6A0MHMSi/y5g8+7DVG45bFn2vCQ0DU3Z4VVa5eGsduwfKvgXpWPoGolNPDRLiGJw95ZktkyiVUrjuWJViKoKmBaLNuw7Loe9t/7E72f9C4+3nE1p7fi/K39PflQckkMhqt/Jcvjrb99j9LK5+BxO/u/KB9mQ1o7Q0g0gOTxNpyx8X3rpJe67777QWVvDMOjduze9e/c+5ZP/4Q9/ID09neuuuw4At9uNz+cL/d7n8+F2uwFYuHAh33///QmfJzs7+9Q9qccacv+O65tl0fThh4mZNg3l8ZDzyivkNU1l5jvfsHFHPqZpomlacCp+cL6SpUC3f7a/zdFAs4JHtKAqQ65Z6JpGSkIko3qm0jk9DkPXMMvyyM7Oq53+NWANva8NuX+n07fSigAzl+4+JocKi6t+nMmN899HU4r5nc7nH5fcjs/hDE43khzWtobe14bcv6rm0EJx/YJpXLVoJgHd4JnLfseq1p1lPKyiUxa++/fvJy0tLbSG7/Dhw0lISDjlEz/77LNs3LiRGTNmhBZGbtWqFdnZ2fTu3Ru/3x96boCBAwceN2940qRJAGRkZJxxx+qL7OzsBtu/4/pWeaZ32jSIikKbPRt/x57MnreWdTuL8AbsOUkqeFI3tNVpMMyGoWOaVvDJtFBdrAXPAhuGgcftpFVqAuOG9azxBbnrwmdXm//RhLuvNakufJY15XT6tvNAIbN/ODaHkRXl3Pv5C5y/aQlK03hryLVM6z8O3TBAcnhcG2pLuPtak+rCZ1lTqppDpeC6hdO49vtpmLrB38few+J258p4eJI2nI5TFr5//OMfefTRR8/oxd9++23eeustZs+eTUlJCbquExcXx3XXXcezzz7L4MGDeeuttxgxYgQeT+OcY9LoHDW9QXmi+PqJ/7B0n5u1C7+lpMJnB1gRXHvFLnm10BYzCl0PLshdGfDKGfzByljTNBJjPXh9AXLzSxvVLjRCVMWhwjLmLdvOzgNFrM3OPSaHrQ7t4eHpz9L88D5K3VFMHnsXS9v2lBwKUc1+KYdoGr9a+BHXLZyGpek8O+Yuvs/sKzk8S6csfKuyQ9t3332Hw+HgsssuA6Bly5ZMnz6dyy67jF27djF+/HjOOeccpkyZcuYtFnVOaYWfBat3setAEbqukZHahIFdWx65g2XBrbfCG2+goqL48IG/sSkhg/zDJRSX+bCCF64RXG/QntJQOZc3uCiLUrgcTiI8DsoqKgiYR3amMRwa3dokkxDnYdmmfaEzxkI0JqfM4VGKy7y8OWc1ZV4/+cUVx+RwxJpvmTDvDdx+L9uTW/H/LruPnIQUQHIoxKlUVw7R4MbvpnL1jzMwdYNnR9/B/I728q+Sw7NzysK3Kl599dWT/u6ee+7hnnvuqYmXFWFQ4Qvw2mcrKSipCN2271Ax2/YVMKxj7JEzvW+8AVFRLJ/8ChtczenQMpGcvCK27cvHPmpVoJQ9P0kLzubVFEcKX3u+YazHidtpUFbuw2cpnLpGq2axOBw6BSXlOA2dpDhP6OpWIRqDU+bwZxat30dJuY8OrZJCOfR4K7jji1cYss6+1uKL7sOYcuHN+BxOJIdCnFp15NA+Y2tx81fvcNmSzwjoBpPH3s3CzH5IDqtHjRS+ovFYtG4vBSUVtGgay8V925K9L5+pX61ny57DrN9mcP+XD9Fytj2nd91//subBdHkHcjjYGEZJeVee7th7Ln5dsGrAP3I/N7gLRoQF+Wm3BvAb1p0yUjGtOwHtW8Rj2Ho5BWWAdAiOUZCLhqVX8rhumwHI84zGd6rDYahsXzTfj79fjN5hWWhHGbu2cQDs/5Ns4JcKlwRvDDyZr7pMkRyKMQZONscKqXQlMWdc15j1KqvCBgOJo37HT+e01tyWI2k8BVnZV9eCQBDuqfj85t8vWInbpeBVqK48p1/0HLZl/jdEbx1x5N8vdtBaXkhCg1/fgl+/1HTGiqvYrMXI0TTtdBVbhoaKQke+nVqQYTbweptuSTGRZKSEM3qbQfYsudwqD0OQ2d4r9a1/TYIEVYnyyGlUFpusnxTDiu2HsDrM9meU0BpuReFhpVXyFVff8iVP85AVxZbUjKYPPZu9iakSg6FOENVzWHleOgwTR6Y9S8GblyE1+nm/11+P8vbdLcLV8lhtZHCV5wVl9Pe/O9gUTmrtuzHtCzaNItl/Nt/p9+yL/G6Injy6olsiW5JRYW9GQXKwue3j0CPWoEQpY5sQaws+8I2DYWuQbvmCVw7vDMA2/bmU1bhZ8z57WgW72FNdi6lFQFSEqIY0r0VaUnRtf4+CBFOJ8ph65QmBAImFT4fm/bkUeE1cTt1KnwmloLWB3bwu89eIOPADixNZ1q/cbw7aDx+3RFcB1RyKMSZqEoOK8fDSF85D388mR471lAaEcVjV/6BDS06IjmsflL4irPStImH3blFvDhjOT5/gEDA5I7PptDvpy/xOt08cfVDrGnZEd1rErAsHIaBptkLdGOv3UBw8UF7AYfgYt2aVrmgg4bLadC/cwuUUny3chcAqYnRGLpO/84t6N+5RRjfASHC7+c59JsWDl3HFzBxGhregIVSigqvAr+PXy2eyVXff4LDDLA/vhnPjb6D9S0z7RwCkkMhztyZ5PDo8TC6KJ+/fvg07fZnkx/VhEeueZjtya2QHNYMKXxFlRwqLGPRun18s2I7Pr+JAsyAyW0zX2TYqq/xOt08ee1EVrXoBFbljmuKhJhIOrVO5Id1uwkEKncT14JfqYJlBQtgTcPtNIiMcJIQE8m3K3fy7cqdgP31zbCercLYeyHqhhPlMGBa+Pwmfs3EoesETJPgcSbn7NvMnXOm0PrgbtA05vQexZtDr6fMYa/eIzkU4sydaQ6PHg8HukoY/e8/k1yQS058Cn+99o8ciG+GJjmsMVL4ijP2+aKtfPTtBorLfPhNE5fDICMlnmve/Tu9gkXvY+MfYm3zTqF5SfYfOnkl5SzesJeAWVn02lMdDC24gJluT38wNI346AhuHNkNS1ms23GQcm+AtKQYhvZoRUqCfH0jGrcT5bBNagJup86GnQfx+gP4LPtblaiKEn49/wMuXjEPTSn2JaQyZeztrEzLRCl7zVDJoRBn7kxyeGRVBgCdtLVLGf/xZKLLS9ic1o7Hr3qQoqg4yWENk8JXnJH1Ow/x7ry1lHsD9tcvaJgBk5GvPEWvFV/hdbp5/KoHWdOyE5oGBhpmaJkyhRkwqbA0sOyvcNDsI9a4KDeWUhiGhtNhEOFw0K5FAoO62+sfDukhR7RCVDpRDgOmxbZ9h2kS7Qp+L2pvAjN87Xf8z7fv0aS0kIDh4OO+Y/jw/Mvxu9xgWZJDIarodHMYXKzomPFw5OqvuSPrVRyWyY/nnMfkS+/C63LjlBzWOCl8xS+q8AXYe7CYkgo/ActkysyfKCrzomkakW4Hls/i9s9eZPiqb0JF7+pWnY9ctKbZRW5oG0VdwzAMTCz7axzdPgr2+QO0TmmCw2FQ7vXjiXCSmhgVxp4LUXecKoemXxEwAyhTkZtvL2PUPmcbt335XzL3bgZgbctOvDDqZnYntcDQNZySQyHOSFVyCKC0I+Ohbprc/M07jFv6OQCf9h/Lm0Ovx1SgSw5rhRS+4hgK2HWgkMNF5RwqLOe7VbvYtvcwZV4/lmUFtxK2pymUV/iZkPUaFx5X9NpnmhQKFZyfVDmxwbIg0q2jOw0sFG2bx5NXUEZxuZ+duUVEuhw0S4jC5TAY1C09vG+GEGFyJjksqwhAaNqQIqnoML+eP5WhaxeioTgcHc+bF9zAt50GULkljORQiFM7mxxSuULRUeNhVEUJf5j+D3rsWE3AcPDCqFv5se9IPJomOaxFUvgKKnwB9uWVUFbh4/s1e8g5XILPb7LzQBEl5V7AnmQPOlpo/0PFhKzXuWTFvFDRu6p1F5waBEy74NWU/RWPbp/0RUPDYWg0iXLTr0tLduQU0L5FPGOvO4fPF21ld24RpqVo3jSGC3q2plm8HOGKxqMqObSHV3s97KiKMq5a9Cljls/F7fficzj59LzRfNTvMrwRkcElspXkUIhfcLY5DBW8Gjg1LTQetj2wk4enP0tKwQEKouJ46vIH2Noqk2aSw1onhW8jt2j9XmYs3Ey5109+cTllFQEchr0WYbnPXnfX0DQ0LbgXOKApxd1zXubC1faZ3kfHP8Ta9E54nAbd2iWzZP1eFBpKU3bBG9w1Rtc13C4HloKVW3NAaWzZk88LM5bTtImHywZ2oG3z+LC9F0KES1VyCPau3i6/j0t/yuKqRTOJqShBobG+7wU813McOU2aBe+nJIdCnMLZ5LByIUA0+29Hj4fDV3/HHV+8jivgY0tqW5664gEOxyXhkRyGhRS+jdgPa/cwZdYKTMvC6dApLPFiofD64ci2EmDa65EBoGmKO+e+cqTovcouegEMw6Cw1IthGChLoSwLNAO3U7cn/St7PmFxhY9Sr59YjxtNs4+wd+cW8d5X67h6WCc6tEwIw7shRHhUJYfo4PT7uXjFl1y16FPiSwsAWN2qMx+O+g3enj04tCcfTXIoxGmpag6VsgvfymK48p6GYVB+uJDffT6FC1Z/C8DcHiN4a/QtBAwXhuQwbKTwbaTKvX4+nr8R07RITYqmuNRr7yJD5QWoFlblVzlKs6cuWIq7sl5mZHBO72PjJ7ImvSMaCoVOSbmXTbt8hI59NQ1Ns1dv8EQ4iYt2Bac8QMA0SU+O4ZoLOpOaGM2yTTl8/dMOvlq+XYIuGo2q5DDC5+WiVV9xxeKZJJTYBe/m1Ha8M3g8P7XpgYZC23UYyaEQp6cqOQxO57UnNmhaMGv2IxQ6Sbu2MOHTf9Ly0B4qnG5eGnkzX3cbiks3iHJLDsNJCt9Gas/BYorLvPgCJpalOFRYztFJVpUhrzywtRR3Z718zIVsa1p2sifxK53KybxKgUPXaRITQYQTCkoD9sU0ysIfUCTFRQR3otFo2zyBNqlNABjQtSULVu8ir7AMf8A+4haioTuTHMZUlDB6+ReMWTaH2PJiALamZDB1wFUsbd8TpYKnnySHQpyRMx0Ptcpr145etUhp9pJmSuPS5XO46dt3cQX87Grakik3TORw85ZESQ7rBCl8G7hyr5+VWw9wuLiCJtERdMtIJsbj4nBRBYUldtBzDpcQnMZkT9JXmn1BWvA5NKW4M+uVUNH72FUPsaZVJypXanA5dc5pkYCha2iaToTboEubZDo01TGdsXy+aBuFpV5cTp3UxBh6tG/G3MXbKCipsL8a0jSKS70ETIXb5cBhaCfujBD11NnkMLkgl7FLP+fC1d8Q4bcvrtnY/Bw+7H85y9r1sOfTIzkU4lSqYzyE4PJkqnLNhiBNEV+Sz/1zptBj20oAlg4ew9e/vofzOqRLDusQKXwbsNz8Uv6btZpybwCw5w7N+mELw3u1ZumGvfhME0spfL6AfeUphK78tkOugbKOuZDt8aseDBa9Nl3T6NImmcduGgSaRnGZF4/bicPQyc7OJiMjmS4ZyaE2RLod+AMWP6zdQ05eCW9/sYaUhGg27spDKcU5LRNDF+EI0RBUNYddd65l7PK59N2yLLgcksayjB580m8cq9M7cnRKJIdC/LLqGA+PLXSD8x2CNwxZ/z2/nfcGMeUlkJSEevllOoy6hJ6SwzpHCt8GbMbCTZR7A7RJbcKB/FJy8kooLvfx+ucrcTuJvRjwAAAar0lEQVQdRLqcwXtaeAOB0Nc3WuVGM+rYC9keC67TWxlDTVOMPDeDO6/oHQpnrMd9wrZEuo/8U3M6dK4YnMm0bzewY38hO/YXAtC8aQwX9cmomTdDiDA5kxwapcVctGY+l6z4gvRDewDwG06+6zSAGX1Gs7Npy8ovYEMkh0Kc2tmOh8Hpu/ZtVH7fCQklBdz+xWv027zUfvgll8Brr6GlpBB7krZIDsNLCt8GIhTMoHKvnwP5ZbhdBvsPl7B6Wy4B08K0FP6AScCyiPNEEO1xcbioHJS/cqltNKWhobhz7suMWvU1XqebJ8c/xNpWndE1hYFGQqyHu67sTc92KVVqb3pyLHdefi5b9uRTUu4juYmHNqlN5OhW1GtVzWGX3G30+G42/VYvIMJXAcDh6Hjm9LyQOT2GUxQVh6EbGCis4GXkkkMhTqy6x0N7nq9C18DQDXtzJmVx4aqvuOnr94iqKMWMicV4/jm4+eYzbq/ksHZJ4VuPFZZ6mbcsm0278tixv5CAaRIfG0lidASREU527C+kpMyL1zSxTAtD1wmY9pc2AdPCMssJWBYVvgCapqGhoev2FeD/O+f1UNH79LUT2ZjRjWZRbnq2S2FYr1ZktkribCPpdjro0qbp2b8RQoRRVXOYUFLAkHULGbnmW1oEz+4qNFa36kJWrwtZlNkHX3C9JE3TMAwNXdeJkxwKcZyaGg/RwLRU8AywncNWh/YwYe6rtN++zn7xMWMwXngBWrSocvslh7VHCt96RimFaSksS/HijGVs3ZvPwcIye91c4FBhBVtQ6Jp9wUvlItsOQ+fnB4++gInftPAHTMD+yuXyQZn0/8+TtP3pC/tM79UPsbdLby7t3orR/duRGBtZux0Wog6qag5jTC99Ny9j4Jr59Ny+Bl3ZA29BdDzfdB1MVrdhHGzanMsHd+Rah86nCzdRVO5D1zXiot0MkRwKEVLj4+HgjriPymG0v4LfLJzOiB9nowcCkJIC//gHXH117XZcnBUpfOuJgpIKZizczNIN+yit8BGwFBW+AIGAFdw+kaP2BAeLyvUG7a9rTEth6BqGoaOjYykLSym83kBwORWIdBr0eOZPtP1qJj6nmyevmcjBHn144n8GkZYUE943QIg6oCo5dPt8nJe9nEEbFtF72wpcAR9gz91d3O48vuo6hDUdzsWr7Itnol0ODhaU0K55Ag5Dx6HrNIv38BfJoRBA7YyHEUfl0KlrXLT6W26Y/z6xxflgGHDnnfB//wdNmoT3zRBnTArfesAXMHnts5Us3ZhjX3lqKkyrcl9wm4YW3EIGe4KTvQ5L6B6VuyvqmoZSFg6HBkrHE+FA1zR8vgC/+fQFuvz0pX2m95qJbG7fnRv6t5fBVgjOLIdR3lJ6b1tJ/81L6J29EndwGTKlaaxv2ZH5XQfxfWY/yqNjQGl4IhxEahpev4nXb7JwzR4WrNqFAtwuB6Mlh0IAtTMeHp3Dwk8/469fvk2bAzvsBw0YAP/6F/TsWWt9FtVLCt964KfNOSzZuBevz8LlMNAcinK/sr+2Cc7id7oM/H77aNWejKRj6GBPYbIvVlNKw7QsNA1i3BFoWLhdDtISorjm/X/QMVj0PvOrhyns1Y8HRnblvMy0sPZdiLriVDlsVphLv52r6L1xCV12rsdh2V+ZKjQ2Nj+HhZn9+CGzH4fjkrCUQtMgzu0O5TA1MYaUeA/rduRxuLgcy9JoFh/FDZJDIUJqejyszGHRwsVc/OlrdNu6AgBfanNck/8G117LcfMkRL0ihW8dVu4NMPP7zXwyfxNl3gAaGpZSuJ0G0YZOcbkvtMaKz2eGHhfcPBGHoWMqE5Q9+JqWfTW4jo7P78cwdCKUYvz7/6DjvBng8RCYNp0/jRqBrstOMULAyXMYrVn02LuejhuXce62lbTM2xt6jKkbrG7VmUXn9GF5p77s8zSxV70HOEEO3UDTuEhuubQXhq5RUu4jJtIpORQiqDbGQzeQWbiPa2Z/hD59un1quEkTmDgR1z33QKTMrW8IpPCtgw4WlLHvUBFfr9jJyi05eP0BKr+z8QcsXE4dgledHllmu9KR73ZMS6Gjoekaum4vw2Lo9n0NQ8Ola9w77zU6BYteZs8matiwWu+vEHXRz3Po8/lpu38HPXauofvOtXTevQGX3xe6f2lEFCtad2NJ+14sa9uL4ogowB5wdUudNIdOQ6dHu1SuHpaJK7g1aVzUidfhFaKxqa3xsN2BHfz6p89ou+hrsCx7TLzzTpg4ERISar3fouZI4VuHWErx8swVrNmei9cXoKjMh88fwOV0ELAse+I+ipJyvx1YDaicy1S56mBwXpPCXoLFqWskxEXSv3M6Y85vy+rsgxSWVOB2Glzw0lNEHlX0IkWvEKEcrtu2n+Sdm0nftIq7stfQafcmoipKQvdTmkZ2Sht+atOdZW17sjGtHaZuHMkhp5FDl4PeHVJoFh8dpt4KUTfV1njoWjifzPdfp+mi+fZjIyLgttvsgjc1NbxvgqgRUvjWEUWlXiZ/sJjNe/JwGAaGoRMwTftbUQ26t0thbfYBKrwBFBAwwWFouJwOfL4Amg6GrmOaFoZhoOkKp27QLCGK87u04JK+7fBEOBneK8oO94QJ8NabUvQKcZSiUi+vvjiLC1/6P36zZzMR3vJjfp/fNI0VLTqyPL0zq1p1odATF8qh5gvgPJMcCiFOqMbHw16t8MyawfDnnoNly+wXjY62C97f/14K3gZOCt864Id1e5j9wxY27z6MpRTJ8R4yWyaxcO0uSsoCmKaFMk3apcWzcWceActCAxJiI2nZNBaHoXNOehKaUrRrHk9Sk0iaREdg6Dpul4Fx9DzByqL35ZftonfWLCl6heBIDncc9nP3jvU4TT+FqemsSDuHlWmZbMzoQkr3TLx+8+xzKIQ4oRodD3NzMF57Da57BXJy7BdMTranNNx5JyQmhrXvonZI4Rtme/LK+G7DPkor7Mn1US6DJp4IDhSU0jQ2itLyAnwBxdZ9BaDsuUi64aBVszgGdm1BSmI0vTukheYG/iKl7CPaV189UvRecEHNd1KIOu7oHJruCCbf9AhGp86UxidQUFTBjgMFWApKqiOHQogTqpHxMBCAuXPtcW/2bDCDF7517Qr33AM33GBPbxCNhhS+YZa9vxilFJktE/H6AkS6nSTFR3G4qJz0ZrHsPFCIhsLrN9FQRHvctE1twj1X9TmzC2Aqz/RK0SvEcX6ewwPd+5CRFk9ZdedQCHFS1Toerl4Nb70F77135OyuywXjx9tj4ZAhtd9BUSdI4RtmZV776POc9CR2HyxiX14JG3Ye5HCx114IP9JFXJSLFskxuBwO2jVPYEiP9DMbbC3LDvorr9hF78yZUvQKcZRayaEQ4heddQ43bYKPPoL334d16448cceOcNNN8D//Y09tEI2aFL5hlhDj5lBpBYcKS+nerhkBU7E7txCfz8TtMkhPieXhXw0gxuOq2gsoBbfffqTolTO9QhynxnMohDilM86hZcHy5fDppzBjxrHFbtOmcPXVcOON0LdveDok6iQpfMOsS3ocu/MDbNqVhx5cUzA+JgKX08FVgzvQv0vL0FqDZ+znF7LJmV4hTqhGcyiEOC2nlcPDeTDrK8jKgs8/hwMHjjxBQgKMG2cXvMOHg9MZpp6IukwK3zDzuB38elQ35i3NZlduEfExbnq2b8bI8zJIjD2LXWKUgrvuOrboHT68+houRANSYzkUQpy2E+Wwb0okI737iHnjOfjmG3vubnCdbABatYJLL4XLLoOhQ8EhZY34ZfIvpA5oFh/FDSO7YlkKTQPtbPcBryx6X3hBil4hTlO151AIccZCOczejj52DGzYYE9pqBQZCQMGwMiRcPHF0KVL+Bor6qVaL3ynT5/OBx98QGZmJg8//DBut1wcUkmvjq9SpegV4qxUSw6FEGdFb9Ectm8Htxt697bXmx82DPr3t28ToopqddHJb775hieeeIKHHnqIkpISfve739Xmyzd8UvQKIYRoCFwuWLIECgpg/nx47DF7KoMUveIs1eoZ3zfeeIP777+fnj17kpmZSXp6Os8//7yc9a0OSsFvfyurNwghhGgYOncOdwtEA1SrZ3y3bt1KZmYmAJGRkTRt2pR9+/bVZhMapqOXLIuMlKJXCCGEEOIEavWMb1lZ2TFndyMjIyktLa3NJjQ8R5/pjYyUJcuEEEIIIU6iVgvfpk2bkpeXF/r50KFDJAd3UVm4cCHff//9CR+XnZ1dK+0Llyr3TymS/vIXYqdORUVEsH/KFMozMqAOvV/y2TUcDb2vDbl/Dblv0PD7d7SG3teG3L+G3DeoP/2r1cJ30KBBzJs3j6FDh7JhwwY8Hk+o8B04cCADBw485v6TJk0CICMjozabWauys7Or1r/K6Q1Tp0JkJNrMmaSOGFH9DTwLVe5bPVEX+leb/9GEu681qS58ljWlIfcN6kb/JIfVoy58ljWlIfcN6kb/TjeHtVr4TpgwgREjRrB9+3aWL1/O5MmTa/PlG47K1RumTDkyvaGOFb1CCCGEEHVNrRa+ycnJLFmyhNWrV9O6devQ2V5xBo5eskyKXiGEEEKI01brG1hERETQp0+f2n7ZhqFyekPlmd5Zs2SdXiGEEEKI01Sry5mJs6AU3HGHFL1CCCGEEFVU62d8RRXImV4hhBBCiLMmZ3zrup+f6ZVtiIUQQgghqkQK37qssuh96SW5kE0IIYQQ4ixJ4VtXKQV33y1FrxBCCCFENZHCty6qLHr/8x8peoUQQgghqokUvnWNFL1CCCGEEDVCCt+6RIpeIYQQQogaI4VvXfLMM1L0CiGEEELUECl865Lf/haGDJGiVwghhBCiBsgGFnVJkybwzTegaeFuiRBCCCFEgyNnfOsaKXqFEEIIIWqEFL5CCCGEEKJRkMJXCCGEEEI0ClL4CiGEEEKIRkEKXyGEEEII0ShI4SuEEEIIIRoFTSmlwt2Ik1m4cCFpaWnhboYQdVpGRkaNv0Z2dnaNv4YQ9ZnkUIjwO50c1ul1fAcOHMh7773H7t27w90UIeqkAQMG1MqAu2jRIsmhECchORQi/E47h6qOe/rpp8PdhBrVkPvXkPumVMPv39Eael8bcv8act+Uavj9O1pD72tD7l9D7ptS9at/MsdXCCGEEEI0ClL4CiGEEEKIRkEKXyGEEEII0SgYjz766KPhbsSppKenh7sJNaoh968h9w0afv+O1tD72pD715D7Bg2/f0dr6H1tyP1ryH2D+tO/Or2cmRBCCCGEENWlTi9ndrTNmzczd+5cOnTowKhRo8LdnCqZMmUKBQUFoZ8ffPBBNE1DKcWMGTPYt28fY8aMqTdHTaWlpXz33XesX7+eoUOH0rt379Dvdu/ezcyZM0lNTeXyyy9H07RfvL0u2rp1K/Pnz+fgwYM89NBDodt/vsTe7bffTmxsLABffPEFGzduZNSoUXTo0KHW21zTJId1j+TQJjmsXySHksNwqRdzfDdu3Mjo0aNxOp1MnjyZZ599NtxNqpJnnnmGqKgo4uPjiY+PD93+4IMP8u6772JZFiNGjGD//v1hbOXpW7p0KS+99BLTpk1j4cKFodsPHDjABRdcgGmafPDBBzzwwAO/eHtd9eyzz7J48WL+8pe/HHP7yy+/jM/nC32Oum7H6J///CdPP/00LpeLsWPHsm7dunA0u8ZIDusmyaHksD6SHEoOwyasi6mdprvvvlv985//VEopdfDgQZWWlqYCgUCYW3XmMjIyVGlp6TG3FRYWquTkZFVeXq6UUuovf/mLevLJJ8PRvCqbOHGieu6550I/T5o0ST344INKKaV8Pp9KTU1V+fn5J729rouIiDjm5yFDhqiNGzcec5tpmqp58+Zq7969SimlXn75ZXX77bfXWhtrg+SwbpMcSg7rE8mh5DBc6sUZ39WrV4e+NkhKSiIqKqreHAX+3DvvvMP7779PUVERAFu2bCEjI4OIiAgAzjvvPFatWhXOJp61oz8vp9NJZmYmmzZtOunt9dGMGTN45513yM3NBeDQoUNomhbaYvu8885j5cqV4WxitZMc1i+SQ8lhXSc5lByGQ70ofPPz84mJiQn9HBsbS15eXhhbVDVjx47l0KFDfPXVV3Tr1o3c3Nzj+hYXF8fhw4fD2Mqzd7LPq6F8jsOGDcPv97N06VJ69OjBpk2bTti3+v45/lxD+fwkhw3jc5Qc2urr5yc5bBifY33MYb24uC0+Pj50RAhQVFREYmJiGFtUNc8991zo73feeSfvvvsugwcPpri4OHR7YWEhCQkJ4Whetfn551VYWEhiYuJJb69vHnnkkdDfU1JSmDJlChMnTjzu32h9/xx/TnJYv0gOJYd1meRQchgu9eKMb7du3Vi2bBlgn0IvLS0lJSUlzK06Ow6HA9M0ad++Pdu2baOiogKwJ8h37949zK07O926dWP58uUA+P1+Nm7cSIcOHU56e33mdDoxTZOkpCQA9u3bB8CSJUvq/ef4c5LD+kVyKDmsLySHksPaVC/O+E6YMIGxY8ei6zozZszgvvvuwzCMcDfrjGzZsoXJkyfTpUsXsrOz+eijj1i8eDGxsbHceOON/OpXv2LQoEG89957LFiwINzNPS0FBQV8+OGHrFy5ktjYWDweDzfddBO//vWvGTBgAM2aNePHH3/kmmuuoUmTJie9va5asGABGzZswDRNXn75ZTIzM+nRowd333035557Lrm5ubzyyitkZWWh6zoPPPAA119/PVdeeSX//Oc/+eSTT8LdhWolOaybJIeSQ8lh+EkO608O680GFps2bSIrK4tzzjmHiy66KNzNOWPl5eXMmjWL7du3k5CQwGWXXUbTpk0BUEoxffp0cnJy6tW6hQcPHmTy5MnH3Pb444/jcrlC6xOmpKRw+eWXh5Y4OdntddH06dNZvHhx6Oc+ffowbtw4Zs2axebNm4mJiWH06NHHfF5ZWVls2rSJkSNHkpmZGY5m1yjJYd0jOZQc1jeSQ8lhONWbwlcIIYQQQoizUXcPL4QQQgghhKhGUvgKIYQQQohGQQpfIYQQQgjRKEjhK4QQQgghGgUpfIUQQgghRKNgPProo4+GuxHil82bN49p06aRmJgYWvKlph57Nq91tOLiYp5//nlM06R169ZVfp6fW7BgAe+//z7dunXD7XZX2/MKcSqSwyMkhyJcJIdHSA6rRs741gMzZ85k4sSJrFq1qsYfe6r7v/TSS2iaxsMPP/yLz/PMM88wceJEIiIizrjNv8Tj8TBx4kSeeuqpan1eIU5FcniE5FCEi+TwCMlh1dSLndvEEXPnzmX9+vVceOGFdO3aNXT73r17ycrKIj8/n8zMTC655BI0TWPs2LG0aNHimO0CFy9ezI8//kivXr1wOBwsWLCAYcOG0adPn198rXXr1vHFF18AsGjRIiZNmsSAAQMYOHDgMY8rLy/nhRdeoHfv3vTt2zd0e25uLnPmzGH//v2kpKRw2WWXERcXR1ZWFitXrmTMmDFs2LCB3bt3c+211xIZGcn06dPxer1cf/31REdHc+6559KvXz9efPFF/vznPxMdHV0Tb7MQv0hyKDkU4Sc5lBxWiRJ13l133aUA1aFDBxUZGakA5Xa71ZYtW5RSSs2dO1dFRUWppk2bqp49eypd19WoUaNUIBAIPXbq1KlKKaU++OADZRiGcjqdKikpSbVv314B6m9/+9spX2vGjBkqKSlJAapJkyYqIyNDPf/888e197PPPlOAeuKJJ0K3ffnllyomJkbpuq5at26toqOj1Zw5c5RSSk2YMEEBKiMjQ3k8HgWoNm3aqJ49e4Z+vuCCC0LP9dRTTylAffLJJzX2ngvxc5JDyaEIP8mh5PBsyVSHeqRHjx6UlpZy66234vV6mTdvHgD33XcfZWVl3HbbbVxzzTV0796drKys0O+P9thjj2GaJllZWeTk5NC8efPTfq1x48bxxBNPAPZ+8du2bePee+897rErVqwAoFOnTqHb7rnnHoqLi/n444/Zvn07ubm5xx1RDx48mJKSEtq2bcv27dsZM2YM+fn5xMbG8s0331BWVnbM865cufJM30IhzprkUHIowk9yKDmsKil865HRo0ejaRpt2rQBoLCwEKUUW7duRdM0Nm/ezPLly2nXrh3jx49H07TjnmPHjh1omsagQYNwOBwMGDDgtF/rdFUGMjIyErD3Xt+yZQu6rnPppZeGfpeQkHDM44YPH37Ma44YMQKXy0VaWhpKKYqKio553pKSktNukxDVRXIoORThJzmUHFaVFL71iNPpBEDXj3xsmqbRrl07LMvi/vvv58MPP+TDDz/k5ptv5txzzz3uOVq3bo1SiiVLlmCaJj/88MNpvxaAy+UCoLS09KTtTEtLA+DAgQOhNrZv3x7Lsvj0009Djz906NAxj3M4HMf8WdmGn6t83pMdnQtRkySHHPO8kkMRDpJDjnleyeHpk8K3AXjuueeIiopi6NCh9O3bl7S0NC6++GIKCgqOu+8jjzyCYRgMHTqU1NRUdu3aBYBhGKf1Wj169ADgxRdfJCMjg9mzZx93nyFDhgD2RQOVnn/+eaKjoxk/fjzp6ekkJyezbNmyM+7r0c9b+TpC1AWSQyHCT3IoTkVWdagHRowYQVRUFB07dgSgX79+PPTQQ/Tr1w+AUaNGsWXLFrKysjhw4AAJCQmcf/75tGvX7rjHjhs3joULF/Ljjz/So0cP/v3vf7Nt2zYyMzNP67V69erFN998ww8//EBRUREtW7Y8rr1dunShb9++zJgxg3/96184HA4uvPBCtm7dyty5c0NXsfbv3x+AkSNHEhcXF3rN8ePH071799CR8q233srBgweJioqirKyMqVOn0qtXrxMewQtRUySHkkMRfpJDyeFZC881dSJc5s2bp5o1a6YGDRqk2rZtqwA1btw4ZZpmtb7Ol19+qQD13//+t1qf95VXXlFA6ApYIeojyaEQ4Sc5bJw0pZQKW9Utal1xcTFz585lx44dRERE0LNnz+PWHawuBQUFOJ1OoqKiqu05S0tL8fl8xMfHV9tzClHbJIdChJ/ksHGSwlcIIYQQQjQKcnGbEEIIIYRoFKTwFUIIIYQQjYIUvkIIIYQQolH4/wKeFg9FOHzsAAAAAElFTkSuQmCC", + "image/svg+xml": [ + "\n", + "\n", + "model020406080weight (kg)model 1model 2model 3050100150height (cm)050100150height (cm)050100150height (cm)\n" + ], + "text/plain": [ + "@vlplot(\n", + " facet={\n", + " column={\n", + " field=\"model\",\n", + " type=\"nominal\"\n", + " }\n", + " },\n", + " spec={\n", + " layer=[\n", + " {\n", + " mark=\"point\",\n", + " encoding={\n", + " x={\n", + " type=\"quantitative\",\n", + " title=\"height (cm)\",\n", + " field=\"height\"\n", + " },\n", + " y={\n", + " field=\"weight\",\n", + " type=\"quantitative\"\n", + " }\n", + " }\n", + " },\n", + " {\n", + " mark=\"line\",\n", + " encoding={\n", + " x={\n", + " field=\"height\",\n", + " type=\"quantitative\"\n", + " },\n", + " y={\n", + " title=\"weight (kg)\",\n", + " field=\"prediction\"\n", + " },\n", + " color={\n", + " value=\"red\"\n", + " }\n", + " }\n", + " }\n", + " ]\n", + " },\n", + " data={\n", + " values=...\n", + " }\n", + ")" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "@pipe results |>\n", + " DataFrames.stack(_, [:\"model 1\", :\"model 2\", :\"model 3\"]) |>\n", + " rename(_, [\"variable\" => \"model\", \"value\" => \"prediction\"]) |>\n", + " @vlplot(\n", + " facet = {column = {field = \"model\", type = \"nominal\"}},\n", + " spec = {\n", + " layer = [\n", + " {:point, x = {\"height\", type = \"quantitative\", title = \"height (cm)\"}, y = {\"weight:q\"}},\n", + " {:line, x = \"height:q\", y = {\"prediction\", title = \"weight (kg)\"}, color = {value = \"red\"}}\n", + " ]\n", + " }\n", + " )" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Julia 1.5.1", + "language": "julia", + "name": "julia-1.5" + }, + "language_info": { + "file_extension": ".jl", + "mimetype": "application/julia", + "name": "julia", + "version": "1.5.1" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +}