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Created September 6, 2021 07:48
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{
"cells": [
{
"cell_type": "markdown",
"id": "24292c2d-4ad2-4a34-a103-9ab629b19d7e",
"metadata": {},
"source": [
"JuliaでGibbs samplingする"
]
},
{
"cell_type": "markdown",
"id": "b385618c-72c5-4cb4-8f4f-af02a5e3b433",
"metadata": {},
"source": [
"# 線形基底関数モデル(多項式回帰モデル)"
]
},
{
"cell_type": "markdown",
"id": "4f8235cd-9556-47dd-b05b-3dfbefaff8ea",
"metadata": {},
"source": [
"## モデルの定義\n",
"\n",
"線形基底関数モデルの同時分布\n",
"\n",
"$$\n",
"\\begin{align}\n",
"p(\\mathbf{w}, \\mathbf{Y} \\mid \\mathbf{X})=p(\\mathbf{w}) p(\\mathbf{Y} \\mid \\mathbf{X}, \\mathbf{w})=p(\\mathbf{w}) \\prod_{n=1}^{N} p\\left(y_{n} \\mid \\mathbf{x}_{n}, \\mathbf{w}\\right)\n",
"\\end{align}\n",
"$$\n",
"\n",
"\n",
"観測モデル\n",
"\n",
"$$\n",
"\\begin{align}\n",
"p\\left(y_{n} \\mid \\mathbf{x}_{n}, \\mathbf{w}\\right) = \\mathcal{N}\\left(y_{n} \\mid f\\left( \\mathbf{w}, \\mathbf{x}_{n}\\right), \\sigma_{y}^{2}\\right)\n",
"\\end{align}\n",
"$$\n",
"\n",
"システムモデル\n",
"\n",
"$$\n",
"\\begin{align}\n",
"f\\left( \\mathbf{w}, \\mathbf{x}_{n}\\right) = \\mathbf{w}^{\\top} \\mathbf{\\phi}(\\mathbf{x}_n)\n",
"\\end{align}\n",
"$$\n",
"\n",
"入力ベクトル\n",
"\n",
"$$\n",
"\\mathbf{\\phi}(\\mathbf{x}_n) = \\left[x^0_n, x^1_n, \\cdots, x^K_n \\right]^{\\top}\n",
"$$\n",
"\n",
"$\\mathbf{w}$の事前分布\n",
"\n",
"$$\n",
"p(\\mathbf{w})=\\mathcal{N}\\left(\\mathbf{w} \\mid 0, \\sigma_{w}^{2} \\mathbf{I}\\right)\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "77f24991-fbb6-4e5a-92bd-1596907b3b6f",
"metadata": {},
"source": [
"## 解析解\n",
"\n",
"$$\n",
"\\begin{align}\n",
"p(\\mathbf{w} \\mid \\mathbf{Y}, \\mathbf{X}) &\\propto p(\\mathbf{w}) p(\\mathbf{Y} \\mid \\mathbf{w}, \\mathbf{X}) \\\\\n",
" &= \\mathscr{N}\\left(y_{n} \\mid \\mathbf{w}^{T} \\phi\\left(\\mathbf{x}_{n}\\right), \\sigma_{y}^{2}\\right) \\mathcal{N}\\left(\\mathbf{w} \\mid 0, \\sigma_{w}^{2} \\mathbf{I}\\right) \\\\\n",
" &=\\mathscr{N}(\\mathbf{w} \\mid \\hat{\\boldsymbol{\\mu}}, \\hat{\\mathbf{\\Sigma}}) \\\\\n",
"\\hat{\\mathbf{\\Sigma}}^{-1} &= \\sigma_{y}^{-2} \\sum_{n=1}^{N} \\phi\\left(\\mathbf{x}_{n}\\right) \\phi\\left(\\mathbf{x}_{n}\\right)^{\\top}+\\sigma_{w}^{-2} \\mathbf{I} \\\\\n",
"\\hat{\\mathbf{\\mu}} &= \\hat{\\mathbf{\\Sigma}} \\sigma_{y}^{-2} \\sum_{n=1}^{N} y_{n} \\phi\\left(\\mathbf{x}_{n}\\right)\n",
"\\end{align}\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "7570a7da-51e3-4c32-9349-db3bd288cdda",
"metadata": {},
"source": [
"これを計画行列(Design Matrix)で書き直す(実装はDMでやるので)\n",
"\n",
"$$\n",
"\\begin{align}\n",
"p(\\mathbf{w} \\mid \\mathbf{Y}, \\mathbf{X}) &= \\mathscr{N}(\\mathbf{w} \\mid \\hat{\\boldsymbol{\\mu}}, \\hat{\\mathbf{\\Sigma}}) \\\\\n",
"\\hat{\\mathbf{\\Sigma}}^{-1} &= \\sigma_{y}^{-2} \\Phi^{\\top}\\Phi + \\sigma_{w}^{-2} \\mathbf{I} \\\\\n",
"\\hat{\\mathbf{\\mu}} &= \\sigma_{y}^{-2} \\hat{\\mathbf{\\Sigma}} \\Phi^{\\top} \\mathbf{y}\n",
"\\end{align}\n",
"$$\n",
"\n",
"ここで、DesignMatrixはこれ\n",
"\n",
"$$\n",
"\\begin{align}\n",
"\\mathbf{\\Phi}=\\left(\\begin{array}{cccc}\n",
"\\phi_{0}\\left(\\mathbf{x}_{1}\\right) & \\phi_{1}\\left(\\mathbf{x}_{1}\\right) & \\cdots & \\phi_{M-1}\\left(\\mathbf{x}_{1}\\right) \\\\\n",
"\\phi_{0}\\left(\\mathbf{x}_{2}\\right) & \\phi_{1}\\left(\\mathbf{x}_{2}\\right) & \\cdots & \\phi_{M-1}\\left(\\mathbf{x}_{2}\\right) \\\\\n",
"\\vdots & \\vdots & \\ddots & \\vdots \\\\\n",
"\\phi_{0}\\left(\\mathbf{x}_{N}\\right) & \\phi_{1}\\left(\\mathbf{x}_{N}\\right) & \\cdots & \\phi_{M-1}\\left(\\mathbf{x}_{N}\\right)\n",
"\\end{array}\\right)\n",
"\\end{align}\n",
"$$\n",
"\n",
"$M \\times M$行列。$M$は特徴量次元。PRML(3章)参照"
]
},
{
"cell_type": "markdown",
"id": "68af7c6c-6234-4749-855a-f52ac95dc80e",
"metadata": {},
"source": [
"## 条件付き分布\n",
"\n",
"線形回帰なので解析解は導出できるが、ギブスサンプリングで推論してみる。\n",
"\n",
"推論対象の$\\mathbf{w}$は基本的には2次元以上。そのため、$w_{-i}$(i番目以外のwという意味)を固定した、$w_i$についての条件付き分布からサンプルする。単変量の正規分布になるので、解析解の導出よりかはちょっと簡単かも?\n",
"\n",
"$$\n",
"\\begin{align*}\n",
" p(w_i | w_{-i}, Y, X) &\\propto \\mathcal{N}(w_i | \\hat{m}, \\hat{\\sigma}^2) \\\\\n",
" \\hat{\\sigma}^{-2} &= \\sigma^{-2}_w + \\sigma^{-2}_y \\sum^{N}_{n=1} \\phi^2_i(x_n) \\\\\n",
" \\hat{m} &= \\left( \\sum^N_{n=1}y_n\\phi_i(x_n) - \\sum^N_{n=1}\\alpha_n\\phi_i(x_n) \\right)\\sigma^{-2}_y \\hat{\\sigma}^2 \\\\\n",
" \\alpha_n &= w_{-i}\\phi_{-i}(x_n)\n",
"\\end{align*}\n",
"$$\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "d7cd71df-3188-433a-9350-bc80582523e0",
"metadata": {},
"outputs": [],
"source": [
"using PyPlot\n",
"using Distributions\n",
"using LinearAlgebra\n",
"using Random\n",
"Random.seed!(1);"
]
},
{
"cell_type": "markdown",
"id": "a21243c4-abe4-4238-953e-3943fe0aeca9",
"metadata": {},
"source": [
"## トイデータ"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "96ad618a-5b56-472b-bfe1-21cfde34e3e5",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"polynomial(x::Vector{Float64}; degree=3) = x .^(0:degree)';\n",
"\n",
"function system_model(x::Vector{Float64}, w::Vector{Float64}; degree=3)\n",
" dm = polynomial(x, degree=degree)\n",
" y = dm * w\n",
"end\n",
"\n",
"observation_model(y::Vector{Float64}; var=1.0) = y + (randn(length(y)) .* var);"
]
},
{
"cell_type": "markdown",
"id": "1f8ac04f-3937-4d95-9c25-25eb603c2560",
"metadata": {},
"source": [
"観測データ"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "0911ccf1-0100-45a2-9a48-7c8cdfac56be",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"n_sample = 10;\n",
"x_low, x_high = -2., 2.\n",
"x = rand(n_sample) .* (x_high - x_low) .+ x_low;\n",
"\n",
"w_t = [0., 0.1, -1.5, 0.5];\n",
"d = length(w_t) - 1;\n",
"y = system_model(x, w_t, degree=d);\n",
"var_z = 1.0\n",
"z = observation_model(y, var=var_z);"
]
},
{
"cell_type": "markdown",
"id": "0d5df34e-4dc3-47c9-a24e-2da4c011a697",
"metadata": {},
"source": [
"想定関数"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "0f0d8f00-f598-4a0d-9de5-ec429fbd40db",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"x_t = Array(range(-3, 3; length=1000));\n",
"y_t = system_model(x_t, w_t, degree=d);"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "6ba14977-f94f-4d0d-99f4-9e4e781f77ec",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
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",
"text/plain": [
"Figure(PyObject <Figure size 700x300 with 1 Axes>)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = figure(figsize=(7, 3));\n",
"ax = fig.subplots(1, 1);\n",
"\n",
"ax.plot(x_t, y_t, color=\"orange\", label=\"setting function\");\n",
"ax.scatter(x, z, color=\"blue\", label=\"data\");\n",
"ax.legend();"
]
},
{
"cell_type": "markdown",
"id": "399c4c94-0430-4812-ac44-4214585aed43",
"metadata": {},
"source": [
"## 実装"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "85c61d74-b6bd-430d-8a06-4183ce8e42d6",
"metadata": {},
"outputs": [],
"source": [
"# wの事前分布のパラメータ\n",
"var_w = 1.0;"
]
},
{
"cell_type": "markdown",
"id": "0fd66c45-0d1f-4488-86f9-e8702ed1b9df",
"metadata": {},
"source": [
"### 解析解"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "7f89b59a-c5db-4fa4-9620-6fa6ff5ca18f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"as_linreg (generic function with 1 method)"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function as_linreg(Phi, z, var_z, var_w)\n",
" Sig_hat_inv = var_z * Phi' * Phi + var_w*I;\n",
" Sig_hat = inv(Sig_hat_inv);\n",
" mu_hat = var_z * Sig_hat * Phi' * z;\n",
" return (mu_hat, Sig_hat)\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "7e80a7e3-66d0-4b97-a72c-3a227c1c5fe7",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" 6.270348 seconds (3.43 M allocations: 186.060 MiB, 1.77% gc time, 99.89% compilation time)\n"
]
}
],
"source": [
"Phi = polynomial(x);\n",
"\n",
"@time mu_hat, Sig_hat = as_linreg(Phi, z, var_z, var_w);"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "d52c2a09-8292-4050-b3c4-b9b4bf7c8efe",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" 0.000264 seconds (13 allocations: 4.062 KiB)\n"
]
}
],
"source": [
"@time mu_hat, Sig_hat = as_linreg(Phi, z, var_z, var_w);"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "73ae12f5-53e7-4926-8a63-1a10eecebca1",
"metadata": {},
"outputs": [],
"source": [
"r = MvNormal(mu_hat, Symmetric(Sig_hat));\n",
"n_sample = 1000\n",
"w_sample = rand(r, n_sample);"
]
},
{
"cell_type": "markdown",
"id": "015fcf22-a591-4266-a807-68f4e0c8745e",
"metadata": {},
"source": [
"共分散行列`Sig_hat`に`Symmetric`という関数を設定しないと以下のエラーが出てMvNormからサンプルを取得できなかった。\n",
"\n",
"```\n",
"ERROR: PosDefException: matrix is not Hermitian; Cholesky factorization failed.\n",
"```\n",
"\n",
"ここでの解決策は、[ここ](https://discourse.julialang.org/t/multivariate-normal-with-positive-semi-definite-covariance-matrix/3029/14)のスレッドに書かれてたものを利用。けど、よくわからん。対称行列になっていると思うけど。。。`Symmetric`をした後の行列見ても同じように見えるが。。。\n",
"\n",
"`Symmetric` -> 対称行列であるというタグを付与する。\n",
"数値誤差とかで厳密に対象になってなかったりするんだろうか?明示的に対称行列であるとする。(上三角の対称行列に変換される。下三角をコピーする場合は`:L`を追加する。[ここ](https://docs.julialang.org/en/v1/stdlib/LinearAlgebra/#LinearAlgebra.Symmetric)参照)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "e56b2579-9604-44d3-8c99-abb5cb096c7a",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"Figure(PyObject <Figure size 1000x1200 with 4 Axes>)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"d = length(mu_hat)\n",
"fig = figure(figsize=(10, 3*d));\n",
"ax = fig.subplots(d, 1);\n",
"\n",
"bins = range(minimum(w_sample), maximum(w_sample), step=0.1);\n",
"for i = 1:d\n",
" ax[i].hist(w_sample[i,:], bins=bins);\n",
" ax[i].vlines(w_t[i], 0, n_sample/10, \"red\", label=\"Setting\");\n",
" ax[i].vlines(mu_hat[i], 0, n_sample/10, \"blue\", label=\"Inference(MAP)\");\n",
" ax[i].legend();\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "96d663f3-88ea-49e9-86f9-a961cc9c0e5d",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = figure(figsize=(10, 4));\n",
"ax = fig.subplots(1, 1);\n",
"\n",
"n = 100\n",
"d = length(w_t) - 1;\n",
"idxs = sample(1:n_sample, n, replace=false)\n",
"x_plt = Array(range(-3, 3; length=1000));\n",
"for i = 1:n\n",
" w_tmp = w_sample[:, idxs[i]];\n",
" y_plt = system_model(x_plt, w_tmp, degree=d);\n",
" ax.plot(x_plt, y_plt, color=\"gray\", alpha=0.3);\n",
"end\n",
"ax.plot(x_t, y_t, color=\"orange\", label=\"setting function\");\n",
"ax.scatter(x, z, color=\"blue\", label=\"data\");\n",
"ax.legend();"
]
},
{
"cell_type": "markdown",
"id": "64081ed3-e32a-40ce-824e-858918fce243",
"metadata": {},
"source": [
"### Gibbs sampling"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "fa3da24f-993d-452c-876d-17b1abf71f78",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"gs_linreg (generic function with 1 method)"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function gs_linreg(Phi, d; n_sample=10000)\n",
" w_buf = zeros(Float64, d)\n",
" cnt = 1\n",
" w_gs = zeros(Float64, d, n_sample+1)\n",
" while cnt <= n_sample\n",
" for d_i = 1:d\n",
" var_hat_inv = (1.0/var_w) + (1.0/var_z) * Phi[:, d_i]' * Phi[:, d_i]\n",
" var_hat = 1.0 / var_hat_inv\n",
" \n",
" not_i_idx = setdiff(1:d, d_i) # set (-i)indices\n",
" alpha = Phi[:, not_i_idx] * w_buf[not_i_idx]\n",
" m_hat = (Phi[:, d_i]' * z - Phi[:, d_i]' * alpha) * (1.0/var_z) * var_hat\n",
" \n",
" r = Normal(m_hat, sqrt(var_hat))\n",
" w_buf[d_i] = rand(r, 1)[1]\n",
" end\n",
" w_gs[:, cnt+1] = w_buf\n",
" cnt += 1\n",
" end\n",
" return w_gs\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "05bf76b3-1037-4be2-ae7b-4fb211431b81",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" 2.218347 seconds (1.93 M allocations: 136.382 MiB, 3.18% gc time, 80.46% compilation time)\n"
]
}
],
"source": [
"n_sample = 10000\n",
"burn_in = 500\n",
"\n",
"d = length(w_t)\n",
"Phi = polynomial(x); # Design Matrix\n",
"\n",
"@time w_gs = gs_linreg(Phi, d, n_sample=n_sample);"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "489c41ea-9afa-4ed5-97ae-af616ae9b8f4",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" 0.447220 seconds (1.24 M allocations: 94.910 MiB, 7.25% gc time)\n"
]
}
],
"source": [
"@time w_gs = gs_linreg(Phi, d, n_sample=n_sample);"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "dacbe81e-ed1b-40a5-a5e1-2741f57d90a1",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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QtSDNMgbjoZJKtNYAT50MPHBY8nWRSeDkQZys7kDDvKi0ZcUjxEUOwsNBckhG47tnWWrqJcv2JyEZGcRCDFk2H8NkNDkONOAYq/3MOqKuw4e+4CCe4wCeXrIDX2xrRjhigxlR+VF1sgrZ6td+gSdmAiufAV77sfr6zi+U/4F+sFDqblDorzQwk7m5ubjyyisxe/ZsLFiwAOvXr8cVV1wBkfAvf+ihh3DKKafEv8cYnFmzZuH6669HQ0MDGhoa0NzcnPL+adEvTM5vfvMbvPfee1i4cKHKOUmLjIwM5Ofnq/4OOJCTbj/bnC2jfk3q6lJpcg5gKZADe/B1AFvmKj4kDlKDATMp6cd90QrzJknAf88AXrzIZO9Oggki+1O/ViMU+w6C67zcf87RnS29OO6fn2H63QtTWq8syxAgwY3UME8lgX340dNf4aGF263fHPM9A9ha2QOZ9glHtWCppH+sorteYaaYTGZyuOeeezBjxgycd955OPXUUzF9+nRMmTIl/ntLSwtqahJJwl9//XU0NzfjpZdeQlVVVfxv6tSpaekfibQyObIs49prr8Vbb72Fzz77DKNGjUpnc/sHVJz1AbzQUw1HkzMwoE5RgfJpgPHcucD/LgW+uHegezLIwbHnrHoBeOEiIEAckP2pyalJLQGYMnTsUkxwaj4DQkma8/Dg8ROUYCstNghNOxiMhOdg7FMSWLylCQDQ1htMab2SDLzuvR0rM34NMZz83Py1+30AwOvf1JqUpHWGPJ9Z+8Z+GkJakoDeVps3D8BcTpNZYG5uLl544QX09vaioaEBs2fPxqJFizBnzhwASgjpXbt2xcvfeuutkGVZ90eWSRfSyuRcc801ePHFF/Hyyy8jLy8vrqLy+frhgBisIDeAA2wDTy+IsXLGbYAxCMe/Ya3yf+2rA9uPlCFNYxzsMS/z3rVAzQJg6YPExX4kROb+UQl2kSbY9iPjNd8z1T5Y9Mlp32nWs8GHD64Hnj1HQ/DaAI9Pjq8juTbsIuQ3CIbQv5BlGUeJW1Eg9CG/ZdUAd4aDsN5fz/BXfwjcMxrY86X1ewfimW226Q9F0NTlR0TaT98TgbQyOY8++ig6Ozsxc+ZMlYrq1VcPFELEBlRaiP1/AlmFLMto7PIbF4qEjO3yD2Snxf5GyzYlOIRNDLrAA/vr4alFuh7DipbERzAa/Sxt7W3dl8baUzG4BuNBOhwHeynNc5irtSZMPfpvTqewnW+eBnZ9ofwlA569/uM/JNeGFexYDHw0W0no+uARSm6nVATWSRJJvzlZVhzmUwIen839dJ/eEs3r8uWj5mX34wBJWxu70dDlN6fV9gOk3VyN9nfFFVeks9nBje+STw5lI/v3vC045h8L8OxShnQyEgbuP1g5QCTGWDlMTurw0FFKcIiuAQpdmWp81+eG2Z4StnBoqcayf5mcpxeliuBKIbgcqjXlqMyhiSZn71fAf47kLD/IkXQQCQ4Nfu03SbZhAc+fB3z1BLDsQcXvARgUflNq9zkba3XRXcAjx6S+M6x3dsDTPjQMxDMn12ZfcP93Dei36GoOopC+2z45Dy9UJJS3vr8xfm3l7nb88KkvsaWhG+iuU/JydO5NOPABGAwRvRZubsKGuvQ48g042lgmMZSxJg6oCWItfuL6ZPAcWjb68fDC7bj08eXwhwbThm7XpMqEybMSmIHcq4T+PSo21XekrW7B4JsxiHey5D6DYibvwGyODpTJZTrW8Nu/TO5+Hh/WSED9PRxMv9BmoLQ3kTBQtxpY+gCwa2n8skS8O9kOWbf47hR0Lopt81JX14EEcn01G4dbTl2byd2+H3lLMeEwOf2NgqGJz4OFMBxgXPzoMizZ3oIfPa2xc2VKgfpfWr+9qRs/ffZrnP3gkn5v2xa0Y9fXBjx/PrCGRUAxxpqaSFJd9jbPc8CGtyx3MT2wvqbu+WQLvtzZhtdX2nCyTRfStTdYWTukaW0/m6sJg90Z2ddu/1YjZloQEqFmY9ifzoldSyB3NyS+99l10o7Czl7/1MnAfZMUZiBdWPMy8aUf389HNwJPnAh8+lfg2bOoRWwxOakET/Lh/WlOU5Hk/vT8eanphin293FOHg6T098oGkl82Q8n4L6VwEvfT6H9bgJN3QEwN48BNlfb0UyxrR/M0B4ii+8GdixiS1bt5k+JIQ3zwRZ4DlgGAv2lyZEiwO7liuNyqmGaw0UC5t0C/Hs8EA4Yl+WKkpQepLM123XzrhGVSbJ+rwqGIwgZ5R8ZMFv+JM+j7fOBZ8+GcO+E1HQH4DN90qJhnfJ/3eup64cRLOydSZ/4K5+hXha/fjL+WRAZMzzkB9a8whUs4fPIoba6B0CtReMJ+z1Yzo60g3jmmKmjg7TDYXL6G/t7dLUnTwa2faKENjVD0s/HMFH7rvtd8EA7RmaSZytjKrr11wa75J0D/aY9eOAI4JkzgNevUL5Hwor0vjMVzvYcTM6yBxWT0I9uNC5LEtuD6f227QTWvWE7X1Zue8JU1v5zGd1nTJgL5OUtHwOPnaD9lV1fOpHsfp2W0N8cfcobkoZ29yPUr4V33h/jX2XW3Fz8T+DtXwFPnWpa5Q65yn5/Nn9AfOHwydm9n1hHGGHhP4CHj+X31XPQb3CYnP7GQEnpZDm14S670mTa07jevMwAbBb73/ZktcfJPWFDl4lWwIGC2pVA5x7l89aPlf9f/Bt47hzg/oOUhKYA7PvkcDA5MexYbFKWNFfr36PihPAy9o8PHgG8eaVtSX157Sfxz7KlceYrK5tqneVEu/+7LBH+HKAzXQMQXa0nYOOcsthPfyiCJdtaEAwbMKs8Pjm5ZZbaTTkGmnjtbVJ/ZzHusb0ltv8YQEz7ibf/naiGWHw30LwJ+ORmg0L7X+ABpQpJMTsNpza3U3/BYXLShV1LgU3v66/LA6TJeecqJdzl5o/6r00T7GqhmID977LEZ5apwkAfKvsDdMSVicTakrmanigR1/eTaUiyCPmZz9ovuop9lHDdXyVMTbDwDuV/P8xx2SyHSbI5Trg7on/WywJvmt+3x4AR4m7bSlm+wvva+wwbyBd8EHayGExhUOxvh/ztE9R3pjef3e9fXY0fPv0l7vhwI7sQz1gMuGZ/gN+XRrPO9MlxeejXty/QV4k0j2k653jDOuCjPwC9Lelrg8VIfvsC+550r2spolhspFqQ3t0IdOxRmLj9EA6Tky48e5aSOKp9l/p6CqKrybKMX7+wEn96c6154RjW/E/5//m/bLWZDsz89yLjAiwp3oAfavsBtGNkapaTnES7PJTOvCYpQtsO4M4KheEfVKCNvd0DkV+TEwprDsNICHjtx0TZ/cRMqt9gFhpaQUs34WvFeDbvSxfSbxYG0FxNgw/XWvUbsNbPj9crAQqeX24QqYxDuMUMc7v8IUv9sY2Bnr+CS/3Vqgnm8of1VcbrstmnGHh8clKNx6YDXz0OfHBd+toYjOisVejNlu2Ja6kY5kBXtC5jumvmzJm47rrrUtBgauEwOTZR296H9l4O9V2X5qAguWybm+P2ph7M3dCAV76242Q9sLb1F4pfYJq4AQDgQsTYD4G1qOr4MjpHJBnfrF6Dez9ej4sfXYZeOyYY+yuszq1kAw8MFuRWsH9b/ojyP8bwa2D7QA/2KdJQu+p8FSFn/fYtDd3405trUdfhM383hHZGkDXrYd3rwMZ3E11JwV7Fh4GbT7LoMi9EQ+t25k8+dz7RgMGzac+G+D2DQ4jjcQ0C8oBjLPa0DXRQmIFmcrQbF+O9NTCEou4MfZUpe6YBjJDawGH63q9I8zyJJW9mpt4YOLS2tuKMM87AkCFDkJGRgerqalx77bXo6upKe9uDYBfb/9DU7cf0uxdi8t8/5SitmWQqVaK9CUiGIJWtEh8D6EDcWrMS93sfxf+8dwIAXvbeCdx/EKYKHNFVyOd8+1dc7X360Rs46p0ZmLDsBqzc3Y4XV+y2bYJT0PwNXvfeioOEXbbu7w8sjRyc+CJLmpwoKdTk2DigVu1px5/eXIs2HsFAMqg42OBHi2vF3wl8cZ9eG6vFm1cCL14EzPuLtfrj3dKMpxSxFH3nnP98gVe+3ourX1oF02dcdBe7Xb/6wKlrJ4nHNB6Wdgmexg3Jt23F14jcgwxMQhqzxxH3GDxbE81Ma/AEeHC7Br4vEdLyIUhnZmzGn0gdbAoA1u9LT841mTzjefpGCSTzA/dnKeqMeeCBoKeAry6r0Shj4yDLSjhxs2iS6UbahYMDv15ZEEUR559/Pt577z1s3boVzz77LObPn49f//rX6W877S0cgNhYZ4H71E7sFEhHyfCj1qvgXwiyLOOPb6zFf5fstNpIrALV10Cr2uHxGFFhbi5nbag8TqcGKF37OADgHNcKAEBVwyLgjgolMpNFHLvo/zBV3IoXvf+wfC8TXXXmBLQFHO8iiL53rwHuGpaQFpsxt5YmksV3EQnhokeW4ZWv9+KWdwdQumbyjLoR+vAGYMFtwBMnGde7JernRoRxtdgx9devrNUTiij3b27oMn+PgcTe1VN1nGHR9h7CtySdB7RdJqf26+TbthRQgRiDUTPYVarGymDcWG3rrNUGRhrrGgQR9fwh4rys0fuOAP3gP5ImnPOfVEUV076n6PfmLcC/RgNLHzS5nf6exwjpjPaYuN5WMln/8/JHgJcvjWvHazcsBe6sQPc7JhEhVYg+19dPKbmFXvmBhXuh5Jbra7N2jxW0bBsEHLo99Pb24sc//jFyc3NRVVWFe++917B8UVERrrrqKhx11FEYMWIETjnlFFx99dX44osvDO9LBRwmxwZcrDj0VGiZnAj7N94ak7FusXBwLatpxavf7MXtHxg4hqYATNW4LCubzI7FuoO+tce6VOa8TdcDUkiRvNtEsdBj+14VZFlJWPfA4UCg29q94QDwwkXAkvsT17SmLxvfAcJ+4Jun+fvDCytld34B/L0UP3UpkcQ+XFtv691xw6hvVonpnZ8r/32cBx3XuFDKaMOObrEXHEQUBHQHQuYFo+ipOEpzRd03IUkhAzfSQcS37VB8ImmBHkiQiSutgGVqBoDbf5DG5Kx9hRL9qv+ZnKFoHhRRw3mifHUipx96YoRBZq4W+z73T8re9ektZhVQr+YgDXm8YiDWvEBbI5/cBGydC6xVklfvfeMmAEDean4BULyFLx9T/m+fz9+/SAj41yjlz64ZcvWxrB4peOVyVZRaWZbRF+qz/xfxoy8SUP+FfVz3ypIEtGwFWneo+ygACPVBi9mzZ2PhwoV4++23MW/ePCxatAgrVyb22ltvvRUjR45kDk1dXR3eeustnHjiiZyDaR+UhBcOzCBa2f21C1iVKM4mk0N+lmVYU1PylzUOI2rxBDToJ5vJkYAHjlSkzyfcoOtbSa7ellh1e7rUt988Axz10+TqIOdBZy1QPon/3nVvKFLNmgXA9N8jIslw3TeR0Y4R0c8pcdbfyF80alr4N88LeCZyJgDgpS/34LenjDO6KwkY9c1Ek5O8l22S98eqsSfdEwDc9dEmpErXqFqXg1GTY4RX/k8xB9v0PnD9ZiCfkfeD4o/ABDkG614DLqYTXNzj1s9hua3g9543IeEUazelYY7wMDmrpTE4JpWNShGF4CubyCcUtJIMVNZ+l1Oen0uOzyvOehnzUITcT4EHDMYvqAgVQ2EJ4HCfk+XEqR+SAC9PH2kgBY/+DiC3nF2WaQKve9mGTfrCPhzzckpnMje+/P7nyI6Zg5r0s6enB08//TSef/55zJo1CwDw3HPPYdiwYfEypaWlGDNmjO7eyy+/HO+++y58Ph/OPfdcPPXUU6l7CAYG7y47iJHUwtdKR8MBy5J83RzctRR45xo+1aqFznOmu+Mr9eVjNkhAOWFe84WxOpSOFB0erTXq76mI2kLOgwi/9B2ASrLy1Bc7MOmvcw0KG/XBJlFCuW9V9nRG4UEgDo7B4vNKgznAAgWCIGDlLn7ziqw2Y184QU5e68yFdDA55Jp9h233LZVO4K9T5zslAe//Dlj1PLucVU0Otd3+n4cipEGxdDME870x5d18/3fAI8cCS+dw3jDQ+4R6BOJkPm9QDQZNIEJKeuox91CVJid14yeRbnOJGHGW6zH3dRaUc3v1y4pZOL0Sy+0ODij9FiFTp3ZNTQ2CwSCmTZsWv1ZcXIwJExJ76bXXXosFC/Tmpffffz9WrVqFd955BzU1Nbj++utT330NHE2ODRhpcjr6gnhr1T78LHZBN9E1Ur77JimJlm6qBTLyuNonF6AMKOGqAeVAvfBRk7v5F7zRc8oQDGv6ckcrln66FfEpPPdPcJ3yH+62lUYGib0qZ6ADSyCfzWpce+K93PFhNHY9ayUHexVJ0+qXaJ0gPiZnrhYRGB0g1PFPeu7FDaFfDeDeb6bJUX/vCYSRTy9qG6GIBEa2iqQhAHAL/IE1Sre+Anw9FVjxGPCjt3TvlWpGkgy2fQqseBQ470GggCQM0jwhWralpBpZjqj3vC0fAiufVf6OTITe1pKc7Ar7KQ+RDbggwXosSvvv0R+K4LHFNThlYgUOHaZxRPd1AFmFzHtT7pMTy3Wy6G5g+u/Nyyexob3+TS3OPqwKORlJkGLajSvWH4E3cmD6uFlx39fAU6cCP/kA8GQSv1A0OeEg0LUPKB5F/CRHe8gpVqWGHLf+fjY3dMHItsIflpC5/CFg/q0GndFa8Rj3I8udhS9/8CV3H3WgRc/LrTCOOBprm5wDMuBFCBPFWvREcnVlLQe7IlBZWYnKykpMnDgRJSUlOOGEE3DLLbegqoqhaU8BHE2ODZDEv/aF//aV1RofFq3KUqPJ6WtVPjass9SHc8Tl+J5rsXrdtHMECLCiyUli77v0iRXY3aqJhiPRpXLMZpKkhuVUmQGkw/lQOw+eOw9477ecN1t4ri8fBZ4+jdGHfjBXIzDLtRI3uDVJQz/+I/Dxn2zVR0UKfXIMM7HbxJurak1KyLp+dvZxavoE4Ichi0E1PrwBaN1GPaxVxCPPWmzfrfiK1Syk//7S9xQTy/d/p76eYmaqsy+UFrZJljS1+tqp5QReTY7LtjFN2iEScvCkwYiKRuLxxTswZ/42nPsQxRnfJCoWj0kbAMWPyspe3g9Ctj+8uRZ/fTcFUQIJyLF+e7L4bmCaq0mp8cuq/RrY8Lb6mooZifb3mTOBB49Q7x/R30aJfL5z5BLN7KxhFzRBWLvWNdjR3ANsnWdciUUhhiAIyPZk2/9zZej+MlxZ6PGL8IqZhvcK5BwI9WGiqJxTubLeB3ns2LHweDxYsWJF/Fp7ezu2bt1q6XljtHMgkN6odw6TYwNrazvin+NrYfnDwHPn4auttTCUkHMkNzODIIXwkPc/+Lfncci9TVbv5i9pUDSV/i4xKY2glcjxHjKdtcDrVwB7v9LVnAqE0nHWke9+3ypg52Jg1XN89xIv5nRR+8wU7PvGWn9My+oHpMvPR4iXCx2QY+ujr01xCv3yUUVaS8PuZcBrP1Ei0SULk0dMizyzZqEqo/imeg7TVM27+KNR0t9ADzKgOMYKAM4J8YS1pyDYC+0ACTRpqxHeuUphYl64wLhcd6P6ewqJyebuAA6/fR6CEc75bMmfQttP1ozh3OOfO4+3Zd2VcERKSqJqhpRqR4yk3VGsr2OHU27tMyaCuKT8/k7gvomKIzkveOflp7cAG97hrzeKC8QlmCJswUfrrCZd1UDTz5z2qBmqN5vvfqa5Gv/8au8NYvbra/DVTgYTqbFWiBBMRFOXX6GpYufUMsLiY/7fgI69GCa0cPVDTpl4g+M0MLPAiGh/738ThrbeIBo6/djTpg8ewESrseY7NzcXV155JWbPno0FCxZg/fr1uOKKKyCKCXbioYcewimnJHz6PvroIzzzzDNYv349du3ahY8++ghXXXUVjj/+eMMABamAw+TYQNxECEA4FgLwkz8DOxfjp65PjIkDZsQiK6GdiTp6mrnvU5qx4pOTHNlnfLd6XI4SNmNNxi81RTgPmbd+pUiKnp5lpXtc2N3ay94galcmInBZBfFsNc0awvfbF4GXLgECjEhuhNTlce8ce+0rnWB8Nsa+dv14+FhZxzVQHZykLxLrXT9zphIp7r3fcPePDTMuJ8VsTsivEPwvXgQEutHU7ecgyPQZ7xdvZazxkB+4ayjWZPwCgAxRFJQEu3awdW5CqxyFaDVIioXcPiqkkFhful0hhkwEsYmmLdQtax2MGfNFHXjAYA+LcEowNePTEwhj6p3z8YvnOYQXScCyQ/ymD+jXdy8zvdWIYbviv8ahwl08DFnbDvMyOliYHa//xFLNhwg7MMf7CN7MuM1inyjQzLEJK/6ghI/mBv09uwR+RvfvH27E6ytr8f3HlzOaINrobcWqPYm9pqsvgPMeWpr4vYcQ3Ephc6EJAb13gL29xR2ga2njEARzTY2WCUqlUIKzrphGyjiIFGBVxHfPPfdgxowZOO+883Dqqadi+vTpmDJlSvz3lpYW1NQkNGlZWVl48sknMX36dEyaNAnXXXcdzjnnHHzwAWPPSCEcJidJhDQSw0pBTShoJ2MtSSCSm5OFA+X29xK5RtwLbyd+4anDmibnDPErjBX0Jja2litBnGuJvUe9c5AvaIlndisqBoxxgKViS1lW00onTGUZeOpk4Llzgd5W/e9mIN69Lu/Su9cA2+YByx9i3JwiYtymVpHG5PDCrjNrqGUnnlm6E/6QGRGfOnO1pMc5TIRgDXTjPwu2c9wk87+Ljt0AgEwhBCGqW01Kw7r5Q9VXtWaVp082295fHHQ5NTkCzRQnCYQ0uTTmb2xEe18I8zdZ1eJbx4odrTjt/sX4cgfHHtfFMMXkGIOIAVfa0Olj/gaYaJ2ePAVo2gRbczPV8zIcgDus7J3VgkXhpBFo47vXgm8HI1cbF/MYxc4Wc5NEAMBHs4F7RqNy7WPxS6ZvppVn31SQKiYnv3aReSETTY6k0+SkCG07FD9DWVaCnwxArp3c3Fy88MIL6O3tRUNDA2bPno1FixZhzpw5AJQQ0rt27YqXP+mkk7Bs2TJ0dHTA5/Nh69at+Oc//4nCwsK099VhcpJEOKKeYFkIMh1PZVnGB2uIBFtWF2D7LsjhAHYQkn9xF5FMiYdRssBMFTWuwGPeOZif8Qfdb3aIKTGYIOZJib5hCOkkwN3Dz/+taIOsvA9yg+PNo0KCeDam9TvD5j91W5o9TY4VMwYtVAdnoItdUIM97T7c9v5G3P+pid0vS7PGkeuAkVLPPjSZx0MR3jenHl8PywWcIE4EKJJ3OYVbumWfHNuasNQRk/Ek57xvz5KVpub9MZ83tUTHpxsazQvx4tuXFK0oM+ytgpFCIwQAlz2xAlsbe3DpEysMywMAXIxw3Bz7+MIt9ol+w/1o3zfAqz+yNzdTFBiiqduPZ5buhHTvJPx40XHIhh9SKkmvZBnpMD0fjhthbmsOLs1pZy3w1RMAgOpdCd9B0YLGyAx6czWbLgFkDay9z4S56O7jF9oaQZZltX+ovxMI9QIhH9C4Tgk4sL8IigYADpOTJLQOakrUMVKSl/i4em8H2ISlyWayY7GSOPKZs9WbehoztuW2sbPTMwkvAxSteSL+mXyGCqEd1Of/75nsyjgWNTeh89nflSR8e/QHuQAgS6AQyKSpFU8o2J4m4MvHE74nxMHE7Cfj8GrusZmcTFe/PU2OGDGWrBrBBSnx5r9KzAcIgvGhEe3f45/vsO6L8NWTwB1lwNZPrN2XNFRHJf8Qawq+I86ml3v5+0RLsVmUusNuZHgn2SnzG+zmfTEg0u6dtwV/fXd94p1bMsPhaNpSWb7S3IEHOFHTYjEBcSQMPHMW8CElO/y7Vyshrze8bWjqfLC4G14zkx0tRp1Av251DHrUGqrYKtokVVOLm5qA9rWi20+cV/1MEP7fk1/itvc3QvQp2rCJwh5E+oXJ4WRQGOU8iBjP+R2LgLpvo33gMMNtYNMTapjUtfhfwAsXUgVXOmbLch5BfR9idZK+2AJgygRL5HkmScBCexnMGrr82NzQhebugObMjkTfvWw9Qut3CA6TYwW1K4E1r6gu0dY2yycnGJbYieLMmJVoWEth39coQEI1LFCy0RrCUnS1ZH1yNI7MoQRxTEqJK9EGN82XoMcooor52FnWNjEkWlUCRVNDOueJHOE/X7gI+PgPwDtXRzuX6P/XuxjEBOPg0FpsXepaaN4+ibivjz1Nzri1/zYtI8sy3lypN19RzQlyvL96CvjncCXRagwMTdbjn7Pt6+UMStDnj6LEnlWNWyrlBx//EWc2mIV3jzWqfhejBfOgC7HEfbyhVqlIlvhLA5Pzn8+24/nluxMBG9p381VJfA5rmOc6udjgRvYY6DQ5jAlCD2ObBGR1PabM1o5FwO6lwNcG2eHfvBL491jgjSsVzc42fTb4c+dNjwe1SApWmZx/W0sUnOUxX6gNXYT/Uz+nJtjWpGZSZQj9xOQkBzcibE1Ox17g+fOBJ2biprfWYU0tO3AEAOWMdtHPSctBLhbeCdR8po/YBprWxaYmh1xv0fH91QsriVoFU8ZC9Vwb32ZaLpgJ7Zq7lblbrzPbVAvRHNDhMDlW8NTJwNu/wlFCIomeLMsIhNVUp2pbqP06HmVDEAS1FsbEZEBdaSLm/bsZt1jptbYi/pI8TE44AHzwe2CLeUJKKaMg/lm7sRUJFqWVA51Dx0NErnFxZD5pjIYI3/IhFm5pwplzFsV/sqrJ0Za/22NAzNBQvyZakQVNIoG8Tpo0Xb3JfrC2Hje8voZeAW1TX3gHEOxWJ1p9/ETq7at2syXMvVlV2FDXiT2t9v2GUgby/W3+ADNbXubTgNqY2wKUzOlJMTmG/kyp88mRtO1w1N3tDymaiZcv4WqDXCNtvWpCPSh7VCXjWPYQcO9Epo8fb96glbsI/5XYPdqIchZwmO9L4J4x5iFrY2AIa6hY/4ai2XnpYurPZ/JEbzQD57j91vUWrnK9Z7n6SCR6jgZZa14jzR9g0x7Z5ipt7KK/15e/pDD+smxBoMnW5DCr6Nwb//i/r/bwtcEQBto2f6YwDZJWlWP7XavdDADo/UFN6DfVftG2k13QAPpkqvTnSX5GH7hMksPk2MBoMRFFSAawUkN0qbawxXcrISZpv6nUnSYbEpG9uExgSU34fXKCYYm5adLAlDZ8/RTwzX+B/12qZBmfd0vc3EC7lXdOTJjXkBubLWdp0qeF6JuaoLFYrxXNFSm1trSRCvjpM1/HpTMAUALW+6TXm7SFYmzekfPvtR8BSx9MsuIE1uztQCH04ZLVzK3Jg3TwSe3J8Q+HIzj7wSWYcY9F7RZSZPmpysOhf3/J+DMZIWaultQjGM5jGV/uaMWc+VvZTuKcA7ilvgt3kLnEWMy8tj9GmgkDaE2KWebEmHezoj2e+2d6fwhNTtshPzN4XoqGdMn93P2VPOrQvyf2fapEvuNk8FJpunK+a6l5ITNwMDk58OF6zxv4o+cV3W9mLMHF4mJgyRzgH1W64BlkLVz90c45SQLm3wZs/siwD0YYLjRiupjIgydr+iNzajL2baZH0/t0Ay2qoYV9hjGNDSM1MvaKC8UvqNcBMJmcKeI2nCAahMkH0CJTNPQRipZRq221KQwl55wUraOLMHkMhCOm5mqqeWuYWJ2NbY18wl+hMbW5lg4kOExOktBz2pRNecUj8Y8qIsfKArRrCsKo58JHluKYfyzA+n1GaubEwmQ6FpL5S/57BrDsQeCNn2GW+A3u8z6mKiq7EhmPuQIPGIEYO9JH5Z5PCC2b9Vp1YNMx9ky9YhWSkatu8BAJHMl6mRtXktR4TAJV85n6+qfJaAjVEARgdeavdNdF0tgmVf5kxJgFCef+ug4fbnu/nzf/f41SHEM1/YqBa67bkD4KUXO1tEnkZBmXPrECc+Zvw2vf7FV8y545W21eaGGPemoJIdk02AePFTfiJPFby0/FLzih1MxgEmSC6JMNnnVUCZGEMf5s/E8gu42TOJpOj4Gyz2d1jOOcMyKoudbM/L8p/9+9xrRf+nxHRLn/nq6+tuldYMl9wCuXm/eBgc8zfo8XvXclmtHMzWAogrnrzcOvewP0CHclAn8AFxpY8VByBD97FTVtpF6+38swyRUEw/3hBe8/2R20AFnHeKRAkxMlfkihiyBLpvNa4BXoGXRRayWkduNOoT11TwqDmwwyOExOktDu6yIk3Ot5jFFWo6gm1Z0rnwWeOjUuCV6zuwU3P/w81u+NSoZ5CAiuSa+U2RANW/zeGgN7f6I+piaH7FcsMemuJXjSe59hL8qFhPbLzlIlVcFksk6taYrFWu3dZkNaxJTok+O890uG01eSm1vsIHjtx/rfOvcpUmcrmcEpEJk5RMgv/NvPGLEed7ufwHOef+rNhhj5XH75wjd4Zuku7jaSzQsVR+NGXV8SbfDA+sGcjz6cE1mILCSRPdowCVyiT7taeoGlc4DdS9TmhZSnC0ckvLemjmJPTq9bdVWS8Yr3DjzjvQeZnXbynNBB7sH0bY0x/ipJj8YEikBeRkJi3dUX3Y94/PbiHUyRECMFMGMWP9nQgLs+3hQ1E+LY04hrz3ruxkOeBwAYrwtLo0Hz4/N3aJqm9Kd9VzShNBl6WQC6bOZ+at8N3H+okiRcAxmCytlfhIRfv7iKnQ8rXpC+X/7b87i9PkaxO/sQ6vU7PM/gIIkRzfLze6w3lISglh7OWj8zJJ0mxx6Ts62eFP4qdZI1ZUR6TbdpVZ6xlDEk1p6H9N82RB+dgT4Q4DA5SULrVHiCax3OcdHDbSrHIsNcbfWLiv/O4n8BANY/9Svc2fwbdDx1gfI7Ya7WX8jq3hX/zNTkUPvFYogSHxdkMCJG8YJp4kK2lwJzNeYmKXOUYYPN5Giea+M7+jLJavUMiKC6B04B5t+KhueuwFlzFttvgzH0okDkybHIHF7qXoQTXWsxLFij+YU+llv2tWGyYEC4y7LC1FHu94ciOjMnfsia/wnw+OT4gtYl8f/x/ge3RFh5lVIArYWXnyI9pqyf55bvxm//9y1O/rfBXGL6niUaPeLdU7m6GfMjVLMjFvcB5t6SuC7IYO4vJBO+9KPnrbWtNGT4s+m2lqLQxzz41Qsr8fjiHbj3U4Ood1SmYidmutbgHNeXyEDQ0Pk89lsyZKK7LyGppmpyXv2hfq/NzLdPnH76V6Bzj5IkXAOFHSSZHGV81hHRu0h8s6sNv391Nbr8+vf66tc8/jAK+mR6iO+At4h5z8+DLzJ+sTougsqv2Cp4gxPoEvZCVq9nTt+4NcGhRJ3K+7nRpTelNIJaGGfPXC1ZZAtJCL0OEDhMTpL47f++VX3PAcPPpbsBJdtfRwZMsryHFM77/1xKtJvpQtR5O1XSufo1wIvfw3hhL/XnmuYenHzvIry5shYikZFbrwaOwsrGxaLr+WsgbmIRRlbrYWjWosgM0KVr6oOS0eqaV4E92qRsymbH3rQ1dcWCBKiqSFaTwx6lIZIiuaxsXIwn2n+WXDsUCLFDZ/6t1JDdPBC1c5ExF+72PIG3M/7Grujze4D7D8LVUWdncliZ2eRrPuN3IqWMc54u4S2wWypXfffbYHKOETebF0oRJEnWJagEQGW+P49Kp31GSVwZ70/lwG8ZiZcZlNlaFF0QBEBvxhmFmoBia3LINXxm838N+kiHYLA+X/16Dxq7TAiXFGpyePHwwhpr5mqqaHHGOlRBUMpOFOlnFg9GfZLQWmuj5K3c3Q6pcROlj4Bt1srEZJBkcszM8b732HK8/e0+PPGF3kfxj2+uo9xBB6sdo+hezF/sCNqSEM5R+045ByWdll9Wp3sI8vm4hEUvUafS9jXu94hrgCm1wS1ssEK1WKeWCtAHL8LWUy8cIHCYHF500rM5d/pCqu/MafTMWRi37I+43L0wcY2aF4SyqUoSsOo5rm6aoq8F2P5p3EZY29q/XvsMvuY9ushYvZ8tRPdnC6GDFYLbYJF1ytnM32gQGEyCKnorzwFF3vDCBbqfJZEeOe1fnxCSS1lCtz+ECx9Ziidj4Y33rADe/iXw39M0HY/65AgWTDtSDr42hgkttltgmasdLW7B+VtmKyZxzfYI82NGaUIAkxJ24tkuci2h3i9LQPsrryLwzt0AgD94XtWV+WIb5dn3rFDyMzx4hHEHY++QQtzRDmu1gyqQXtmeXciqT+toIWMp75w2DbxQ75msOe8PhqjXjUCbdQF4mWU6NizQR00i4WsHFv1TCaqiDSjANMlM1sSU/f7/+OY6/PNjk3VDENi9geT8c6z5S9rzyVFS2LLbedJzr4U+mENr0nTxo8sgypRx0vY7YDECKAMRqAWDvFqKroBVs2he41gjJodRh2Y+jxVq8XMXK+hDtDznGuijCHno5mpq1Lb3JSLtxSBLikYtCtZ5roVIdFVnAgcl0p0Z0xAh7zNg8GQZSs6fNJ39I8TGpAQEvJg5cyauu+66tLdjFQ6Tw4te+xmZAQBtWhMbqMIwxkHbCIL6KFXJolzo0F+MhPB484+wPPM3qvwIUkhA4+9+h9qrr4YU0vbPCpPDJiZq5TL+eqBWBcsy2Qe1hNC8TwabZ/tunLeAbiYzbwORw0eW8czSXfh2Twfu/CgqEaSYKZBgHeo6UwrqxjdAy7aDf6M0Gvlx7QYReDjgdWuenxizMv8uPOKZY3h/x45sNNx6K3Z8rNagmM6W2q/5O7ltvuJnp8HP3R/rrpHt9gQipoddtz+kSkzXL1DljWD4vlEOctqYjhHr8Xc3oeFgZhTnkIQy7iWvBqHW5JAChiqhDWt30AVYAIAPbwAW3QU8PkOlAdjSYOTsnai/V4gJb1LD5AAmUa80uP/Trf0kOAH7fRnmO1NgxExNSjGBxhvNDJDVEbySpQGiCMKtelrziIsybnC/hrNdWqsAsPMYyTKw83PVJdYYS4IR4c+at+rr8zP+gL94XjKuh1OTs5sS/p/G5HQRAuZl21sw/e6F+Ol/tWOkfuYw+HzjVNFfKUyOGxGKaZwaHXJO4osBgyeE+oCmDUDrdtV1qoAiiaU8WERnra2tGDZsGARBQEdHR9rbSyu19Pnnn+Pcc8/FkCFDIAgC3nnnnXQ2l14YHBS2HZYX381ZMIVRNIwQSDBT+eiL27dLESLKWkTTFwsqaJb2xRZSlieH8V7bdgBz/wSXRD9EtAeGzhxn3ypGa7HoaowDhxYX/42fAe/9lmg8yfngzgSaGQ6lRqCF7BwImDCCZ7m+wkMedjjshm8KqddDZj443MSirOQdWWQ9w/We1l6YHUfn/GcJznsoBaF9LYBkvk2TUXLgR24i+SSHDwwTHO8kDGOTWjdNiFQfDWm7e7nyP9ijamtLA1vwZGRuxgWD+690fYhtGT/GVIFPC9q6b5uS++cL40AwKYHN51bCn/cfCcZ9dMgaf44U+cUqESb1Pjlf7mzD9ib9vDpeXI/fuN/BlRQByZbMK6htbFnyJtCuNqtlnxrsAWG+FUYQBCaSPLNo2q77F2zD0XfOx7LtLXjpS0Vb09iuHr+IhkHh7YYoGDM5MgTTibRRGkG2zCwnxIJlaEzpyDQTZMv7O6688kocdthh/dZeWpmc3t5eHH744XjooTQ6xA4y5AtGUYQ0oNjtbqxPQmtjZyNRKUESC4iM/gJywWvXmIU2g2vf5uoGHxIdyRcSEUSsm6tpNqpgrxId68HJwBbO3AjUw524FgspDCAcbY4lvdOpxjv2AOvfVMwVw9FNL1kmJyMfaLHB5BhAS6SkMrqlKSiHDSv4hxGe/kIxNaxtTy6RKBdxToDULBwk7obZQUaTdNLgk72Gv7MckWnYuPYbXOt6G/O8s5EZ6qKvLO06CAdxavc7GCPsY1ccCcHvpz+PmaQ0Wkr1LTbvyLUvaY65DjlXXQNtuLv1UbXW7En4CAmc5mpmxHu7pi9Kh9jz5xbPSxAFGf80TACcaPP7nf9VNCkLbrMVTt3aMrZAgPk64h/FfmZyuPspaAhZM4FeiO/sFzRMTkz498W2Fpx63+e68qXMPGpsDG/Xa31YMH4qc00Oy79XD/vv2E1hcmQZaOoO4AdPJZ61VJNDcPLt87DbM8ZyH8j5GKGsxx5kIhAyNqdVRxI1Wkn9NPdT2Exvby9+/OMfIzc3F1VVVbj3Xj6T0kcffRQdHR248cYbU9cZE6SVyTnzzDNxxx134KKLLkpnM/2Of7ifxjjBwMSBF5RDfNWeDt21YKS/FkGiPxIEdA85nlLGfvVD+yjOnUA0iaG1ijPqEhtbAeHMrSF5EuWZan3NBrb+TWCbeWZxcsvq8gXw6CKKOWIMhONjTFPDssPWOU6ScyROjSXJQfQ02OJCAqyEClpIEvID6Yy7r5krKdLq7YoyD+cnqSVhBi3ghC5Etk3MCNxv+DuPnXsMB3/zZ9zoeR3jxX04rvFlvptWPIz/a3uYHUlRkoB7JyLz6RPpv0c4fHKYAUgE4rMajbI2mhRl76FoLZfXJPy0DB3lLby/dO/spFbJKJy6lhGMgddfRKmE04xu2X+Ap05WtZGuJLk00Hws6NBK6032TE5Nt/asS8ezS9S+0ts5dPMcZj1TI9/qrnUvWICumsS45IJTsGtFE66BSPFhpQkxtc8tAPjYd5CqD/fN24IbXltj6FOjMlejlBMhoy9gtj+R95mft7IsQ+rri//B7wN86j+prw+Sz6/8dTYnPvP8EXVr/6wGJZg9ezYWLlyIt99+G/PmzcOiRYuwcuXK+O+33norRo4cqbpn48aNuP322/H8889DtKoJTAIWgvenH4FAAIFAQkXX1ZVckqt0wS1I+NB7E8YHXkiuIoqPCn3hpg+n7J4DPLEV+Nlc1SEVgYiINy/aKaJPOk3OwPiHlH70C7wsH4sfHDNcdV21WIlur834hb4Sf5c+4SbnYicPqjnztwKEc/P8jY049eALgQ1vx0vHkCGEdfermtc6TpIq7NiBm6ya5MMbgHOMCWAaWrr9GFoOhN05cIcN4u/P/RN+tSq53A2G0CX3sxwk2BAFfbtwt+clVOj81vjmRm8gDBgrUVTQzgVXRG+mIMsyBEEwyTejRjPYoWEBiwQsAZek7l9Dpx+VBZnQjc/er4wr6m1WAqEwIEv2mRwj8Ggd+4IRvLliN34AxI3d9rT0xE9MgTO6WvxjigIPJAd2vTulCowR9dorK8InfyiETPNiwLy/aNqwLuRKBpYIOhexkE3POr53rNVcpYPJSe2OSNQbDKL2mmsBADkXCnBlyPBw+4jxPacdH6yYCa1W4yNARrVAhg+X8eBniu/LxVOGwh+K4IRxZfC41O+WnCMSRbjHo31UB5ThYHL8AWw5corqmtZbyiBQe1KY8OF/IWRxrV709PTg6aefxvPPP49Zs2YBAJ577jkMGzYsXqa0tBRjxiQ0aIFAAJdffjnuueceDB8+HDt2pC7vmRkGVeCBu+66CwUFBfG/6urqge4SE14hBWE6KZvtj9zzlcRk/YSjG14B6lYBmz+kEAz66aF28gdS4S+kmOtY3+j//LZx+EyyxgyBQjA9ehzwzBkmd5pDm9/g589/A+QNSVygbHBsczXNvIr5BgDx4BVJ+xF31yOZ97Zv7A+MC3yVRgYHeoKIZjOdDJ7y/BunutQSzL1tyZmwGUFHdFMIdyXXooxLHluesnY9Nvew3E61qeOxd7EilJnMsa16HwMVwhyRwVIQSj6vQc+MvbBiF255Zz3aehLS+eqiBBEgQFb5MCISAta+DnTVqd7nBnE8WnoCCDBM8uidtzmfe5p1mwOv6RxLq0fuUxETn7U6hpmnLAGhxqZowlA9BEhUSX26QGNyGuVCfUFBAKoOj38NrtZHYVSBFu6fAq0PkhmTY4dhoWlyUsFIRnoTwi0prNAHomA+X8P2jnhD0KrTBuUQIeNsF7G+o+9egIT7nnoO1zy7BP9ZoM+lRo6Vzroi+ruZJlz9XvvTfjuNiARRU1ODYDCIadOmxS8XFxdjwoQJ8e/XXnstFixYEP9+0003YdKkSfjhD3/Yr90FBpkm56abbsL1118f/97V1TWIGB32Ct29ZxemMX81ACuW/lu/Un/XZGxmwqJWZbpIMAlSRHW4CgCEaBxF1ZmgHYY0RH5LBuptxWRjoUW3s2Gz6zEbdsp7ZkZX02pySAapaTPQ3YDq+b/m6qMhbGngBOa9Z7u+At64Evje08n1iwOja54HTjk3/l2SIimV1owU9KZ2Fz6yFN+clMJGDCBQJKPyjkXAmz/DwZ0/Ri2O7p+OMHBY8Fss8AxRXVu5ux0U41ZjmJk30cL66soQAREiEeTPex/Du9yAQbBGLbGXSSQ9jiFmNhyU5Pi0L87xANHtrkDoBd4ngoEsfxiY/zfF3y3nvPjlLwLjcMkd8/FuRQ0S5LIxxJANhnrNK8DbvwKOvQYoSUhQeYlpFsHmIgjYxxbX4JqTxjLrYJnp7V5YAt9rJ+LmU3+HWd+bhau09wEw3XdTGCFO6NwDFKkjKwZlD4UOVV/wfvY344pbtwGjTjBvH+rx1oVU725QAkVMvRIom2CLOaExRnbJ7JgWGQA6Xn8jft3X7oEnJ8KV4Hjx1haccuxImz3gh1uzd+oEYtHvP3N9jFs8L+FLaSJu+PYuXH+aQqAHwxLcooC9rT2qu7Tg0T5a1eQImRmYsCph8rWnrU8VQQ4ADqnIApqjZv8ZeWpBiwkiFYfCFTUT6/AFUdumWAUcMrQAQjtnOofGTbby7Xz22WdYt24d3nhDmT+xOkpLS3HzzTfjtttus1wnLwaVJicjIwP5+fmqv/0BeZ/9yd6NjENe1ji9Cq07OSu0to3FcuUkGqbnG1F91Gpylj5gqU0aZNl2fDpKXcTnNEpPyJojZsTav8fpLrFMhVy7FqkvqMKWysBL3+PqnxFkC+E8tXcq/xgSrPVvcDvfJoOhdWqfKauO/jRks5L4RtHSw5/HwCpRotONUp7H/eIFgK8Nj3vnWKq7vyAAhuPzZzclvKzJwS9Y9MnpeOstlD01B49/9m+NT47yue2ll9D80MP6diADdRrfA9qjEG2dqw1ssT0aLS7QpVrbMSl3Zx/dXyNle1QsZP2Kh5XcPlGQtRsxOay8XSTR+J/PNBJvA60RCV+zEuBixtbluHuunpji8slJWTRNIPuFM1XfR3TVo2+BC72NGhtTAQgY5VAi0LEjC40vL+QkAGWVT+9P3XPVP7/5c0Ub/rjiq3akqNc0mKGAknTYDsIBEdtPnImGfyiRIiOtCfPSQLtiTKVlLGjYWN+NUDi1SWrJtZMh+eBFSMesFwr03EaXuxYCUJIov+K/ClhyP/qCYUy+fR4ufGQpmroS5xjdUsA4txOg3dc5mBxBgJidHf8TsrLgyspQzMiysoCsLIjZWRCzMm39yf4Aws3NEDIy4MrKJurMjjOx5pAwduxYeDwerFiR2APb29uxdSs7mNGbb76JNWvWYPXq1Vi9ejWeeuopAMAXX3yBa665hrNtexhUTM7+isnidvNCNDA2bq1j5PZ5j/HVl5SvhqxjcuITn2BsUnjWJNoSUhddx0jpxFeBbPqQWtOGEX71we2SIoatCwy3UADUqE6Jhq1HR6J3QLQl1ouxoikNBZ4s6r6FsOk983Im2Jj5M+RDORCTNZ2x4tAP6InDUGiQhOq2DM24EfvRL92URIF7jCPgCTwZw4m16l+3nuiJeoJLgQAa/34HWh56CO4edb1D1j4EPDFTdW2SuBuPeu7HUCERUY1n82tYlY/K176JK29jvUirz0mgB+gj+vnZ34kfkzNXO0pMEC4qa7O5fwbuPxiFSEiS7T4jl09OCk24hWiAgEhnJzo/+AD/WPoEpFYRexaW6nq2vo4vsln9V0Vo++gb9MUIP4OzWISMW4icMqeLmvxbMYY7rBDaP3F/ytUHM6jGOHaWhGlhihNo35aNcFMT2p9X/I+loH5v4mFy9rb3WfIntIJMBHB/zdn4KuNq3Tz+lesD1ffFWxQtPbk/DJMbgPm34utd7egNRrCmtlO1e9D4VpGLybGmydHChQgOFnfjUHEXKoR25GkDPFhcbpGGekS6uxFJ0tc9NzcXV155JWbPno0FCxZg/fr1uOKKK1TBBB566CGccsop8e9jxozBIYccEv8bNWoUAGDSpEkoLy/XtZFKpJXJ6enpiXNuALBz506sXr0ae/bsMb5xMMLA7j8bxhsFE4xDXCsNqm80T6YGILkgALKWyUH8mVnmav/7anC9RykswB1KvAur24osAXv+9RoaXjJOVqk9lP9FhHM9umEj3n3vT+hYx86O/T3X50xGQZYibIH4N/9l/GADduaKLAONG+l5RQYKT8yEey4jepdFHC2mxq3TKpOjRYFkPWTsYELzujw03nOPecF9Kw1/FljmvCQePkbJFg4ALvacDjcTGlHNAosRK+Tl69xv4UyXhvg0YHJikQfbt+bC29KDrr1ZABICgVRoG5l4+jTmTyInk1MltFlrc8XDQNc+/NCVyHdkFlWO1b4IGdPF9dTf4vjPkdb6x4Haa3+Duhtno5hl8uPvQFETfyhmAAi3mo+j3oRKwMHCLr3ZWorhJn1nHj0O2LUU6DSJEqux3JApTM4owZw+OULahFQ75cQYlUMFxdKlUOiFW+Nn6BHUe8jt729k1ieoPif6Knd16RgDATKyBWO6L1nBRkkoIfCsEDowSmxACsS4AG+UVAPcc889mDFjBs477zyceuqpmD59OqZMSQRNaGlpQU2NQcTZfkRamZxvvvkGkydPxuTJkwEA119/PSZPnoy//vWv6Wy233C2uAIZCNo3OWAyTvRD2Bz2NTnzNzXCH0xsshPFPXD7W3TdIc3VbnrL2PGfF0HZbWtDIMNCyxKw9a1K/P7BqyFHHZatvhdfixe9a3ehfZExsWuUvO62Ff+FCzLqn55P/R0Axgu1zHfa+tIX2P5+OcIBjSQ6LMAXHJpC03TrcyWj4Rvg0WkYsuM1diEbHWxak4e6Lwu5bvW1edDX5AXadwMrn7XclhHM5uDTS3Yg7Bex6ZUh2DRxEtZ+vBiL39HnK7Eatczq3C9DB8rQYemefoEsQwoDLRvy0Pb0fxHqNiHaPFmGP1fvet28ze56YM8yAIDAYtx9MmRfQgoqUBzgu/ZmYtvblehtYIfFMyLiV+5qV1+INvED12cA6NnLWzfloG1+NiKhJE3Wmow0vHxMjilkGZdtmIvOd99lmmT1BvQEMFl0eDc9rLwAGXd6UijA4UTf11+blhm96VFLdcphc0blRrd6/xwhNuHDjD/jSQ9frpFUoKcuAx3PPWK6X2t/lgkaIatUed9nukyiKAL4AT5OqV9VDDPENXg94/b4d62ASU8DsPswYdkN8c+xtSJFgM7/+zW2Hn2Mqvs8aylpTQ7NJ5FsNtOeO0eooR6R5iZb98aQm5uLF154Ab29vWhoaMDs2bOxaNEizJkzB4ASQnrXrl3M+2fOnAlZllFYWJhUP3iQViYn9iDav2effTadzaYHHn14vYe9D+J297OmE16KAK1bchDo0mRMDtAltlo74DKBU70YXUitPQEs2dYCWZbhW70ajf+8G5LJQfrB2nq8sCwR1u9l7z8w4guKhFy1h1jbtNq25GDH3DKE/eppN1+awrjDGKSdfyQgQpYEuCNhBKK2obLBxjJ3vV76xCts5SUWWIJowUDV3f3FZoT73OjYnqO6vmt+KXb9rxPde/nCPBpBBvA3G4kBs3Z8Yl7IgiMkoJx7rZvy0LkzG8Fu4zgo4YCAXfPKsPuzUgTvnAy8/ztLbVHbJ955lolGtrk7gKbViYPF94frceJqfVKzHBP/HhV2LeFy3CXxdebV+Drzakv3pBKrJIrzecyylZT8mub3Mt6TRu2g+PFQq4nuJ4S5RIyP8bV6kPd+D3b98EeJ4pR+7VtajEhQxJ5FWpMlAgZEGstnvTS6d6+S9H55TWsKEG51oV2z1lOJVIUqnti+B5dvmoe6P/4Jmycl8o6QRCStfnJ9eSIhar4ynv20uzYTgc5BFSeJjrVvAluMowbOcNGFgye61iIv2IuwP/2RuPZ+XoL6/62Cv8bE31drgerWvwN+YWJqmZxMBHGX5ynVtTyofZG0Lcbm2kiK9ql8x7sohrJeY3M57EvQbKThDc8Tu/oiCOzcCbTWKGkbUgCfija0P0+yujuS7sv+AscnhxcMCvhS9yLTW1s25KHp2wLs+KiCrynNYXqoyBtTXJn0p9y3GD98+ku8t6YOuy67HG3PPovmDXmmd29pYDBdBPFJEjFei8RZ47cFCHR40LJRneX7l+4PkclK1mmAS12L4mNFvp6Gv99heu+vXzQ2lTGCwLmt99SxGRIzab+Wngp0KE6enbuyOVo2hiTJ2N7ENqdLCnMtBuEgtYQmTKa/PSFl97VqMwio6/F3uKk0qbYN8vvP3R8ZdwBAiDj0vDJdavs3z/Om9YQDIuq/LoDv3gtQzHCOBRQNXtvWHAR7XMwy/Y0jxe1swpQYz0CKQ3szEWVyBMJcLbhPGa+OHcp6kToTe5toN7myTZOzi+sX4tTFXzHfoRxOY4AUWYavzYOWDbnw8OQdYiAvqM6LFVtbMhQN10l7V0Ho0Y9PR02CgRuKFmzJvEJXpkgwFoz0NnlRu6QYOz5Oje1+155MdH2aGj8XLeSt84H/XWbvXgl47aO/Ydtredx5VbnrDoXQ2+CFpJlrodo6S/VkT52aqDP6ug08TFUQUqzJ+YvnJd1JnKEz+SP8iWXAE1FoFm34/J76DGx+vQrnbFsavYuY4BTwMOZFH3Zix5lnIfzilaZleaFOZcA/nikb+gHKi5gM9r8eDxSSmCW+FguZAZXG7DUUnYAdfcpC/3Rjwjwg2GUsBRMgI7+rDSGffko0r0lIrzt3JUxM7NoQyxH1xtSyIRcFe60T3V3bMtH1qWIW5u9IEL3hpkbg5ctwpJ9tTy3KElo35zCJZSN6RpHyqN8RTUK5b1kx9X6ao60UAXZ9mpAiJ5vv0wiSJEC0Q4DyEHk7F1uqktTqmT0zGQGKlLBpUfdlIXbOLUf7Vr2EvHmtmtknmfYiqRu+NWuYjykACPUm2mXZZJdyaF4bVxagoyYHuz41iHWMqH/LqgLsnGtcLt2QJW3kQjWUoBQygj2JfWZLg9maTlGwkYiEfbP/gO6Fi+LXpF6Do80k3wu7IXtMzs+//BD5LX2o/7oQAPBM+HR77duAABm75pWheV0+zq5ZllRNKkiJ66ft/hp/WPkyIhQZQeOqgvjnfNAjfuVqHao18LexBRpWEQkK2LesGPt+81vzwjYgE+NiFRJxLkb8qSXNmubMwZ5Fpdi3TJ0gOLBjjyFpQ+6Pjy+uQaAjISyQQkofu2RewVvqzdUkjc+QVnhIMkH1XxXg4ffux5iOfbp62rbmALKAyzcsiNZDk5AR0dzqAipaSFeUuD203cTfTIOIJEXzjtHmEOErlORwZiOAoUKLkuOLF5mFyTU6AHCYHF6wks5pJNE0JsHqfhe2G2pREBAMJ/qpktabRIz6q/wcLnnuIWx/t1L3W6AzcciQkjmag3VfiwfddRncXfa1etC8Lh91y4vMC5N96nKhdVUe6n6rHFa1X5TEfwvtqwO2fow8iU1sHle3Dk2rC1REJrmhG5lGCJBxwvY12PFxGcLR970l8wrkowcB0dykgmau1rUnC75WMrt29Dr3AcIHWQJ2vV+Kq+a9bXmTzN5pbq7WusGN7n3871/FrETnaMtjj6H9f//TlSWZoEiAvXV17VbGTKsxBIDWzRomR0pUuv2rKuy69DLqfTGECCI+dsjbgZEmikRvozKWscR7AwEpLGDza0Owd1GJcUFZLQTxBc3y4KSgcwBqb7wJXe+/jxAR0Ca+lil7r8tvV0zO7rBXk2yYtuXH9orPpcPUP6Q1EWai7hGddJ8YHkgaCURsfGUImFm7iquO3Cq6UOAWzwuG9+kTUNuHFLFWl9U9Mqm+km0l+chdezLRXpMd7RPQ+pKyn2qtC5qffhkNKwt099P6dNfHm9H2r7sT967Lg6/Ng7w1PVx+ZXbyq5hB0pCw2siYZJOdOxXa5aFF9+vq0QvN9MFIyJoLlnajbkURQgxhSojQ2vbU08/DSEhAOOBCRLMfbWnswdbGbvPx4s2fCCAS1PdzrFiHEqEbslnwCRLplL6mCQ6TwwvKhJMlRfrevkTZTGo+Ksf2dyvh00ierDp8hngyfVOws9WHbn/isN3cQIT3NJmbWX1qJ/5I0Hwy05ic3fPLUPt5iUribQQjYtUIJNHHE2lWC5oTLMnHGh5WERnnr1uCQKcHzesTRPPdnicREdXPveOTUvjbE4Rx4+p8DNnapI+wI6nbi72vrX1D0EMwjcmeE6E+FyJ+F4r6enQatWTR2+hF05cuFcNpBtGtfqBAlxvNcx5Aw223G/qRacfLLsh3XrlHCcPbsp7t0JlZnJrwzqFeOjPc2+jFvuWFusATA4nYHO9tzIjPP9aeRr6XvkBE85v6sxSSIMvAljcrse1dPlNeGno2USJasXkc5H1lL4dITRPbrGqKuE29NikNx8amXlavD9ZcSAVSF5pfw+QQpkplPr5ogN58+rl2hJk5tqGmATofTyNYodFaNuRi+3sVCPUZ169679F3vLfdRrjkFPIA+5YVo+HrQvQ2erH51SEQ/Oz+aP0/eeHKkLBrXhlytvp0GnIqUszkdNVmoqShQ3VNO98vcX/OVZfoVtMy1HUTs2AjfqIxDwDQuiUhKGvdRBeade7MhBwGwpoALeFo9DOawlkVAc5C0mAjGkkOWfAh7Uekiil2mBxeRHf11k052L2wBFJYQKDTDX+bF/59HshyQsq7a57GtMQivVIm2Ashu6WxRxeckhckUb/5tSHY+lYVgt3GjIrLID4+VaNFAymdtxBliDRdkjQEr6fAnnkDSXCzkuMBQNfqhDSMZBRmimuQrck7EGj3Yu/nClET6HSjbXMuRqxt0EmcdJulIEOOADnv98XvTwXSGck2Zo5jBWrCV1Ax1zUflaOJPDyJ15wqBo2nHlmO5T4CBDGdUndgz8JSdO3ORtO3inQ1zLuO0oi2zcQhzbJRF5QfSSaHjGLW8E0BtrxVGZd87phbhi2PtKO3MQNSSETY5+IWjGiRP0J/2MfPRxtakrBfpBLOplHzOJr6KHI0Ippjt3OnfW1tDyVqGwmSWEsqi5pWkyPFNDkWGCm7S8fgvuZ1edj2TmVca5FKNK/LR9jnQst6YwK+u5Y4D6JTZN0+4zM82OPSCXFSpbEiaUN97h+gdqneaoJHUFjV24Ka/CHx7wUjEoyTv53nzE3d3hkJCti3pBi1n5fA16r4+UoRtZlZV20mtr9fTtWas3w2Y0jUQ/r0xKKrEP3QaPMbVuZj3/JCLj87oa0TcigEf7QjkgREuo3909wW/aDjoMytYLcrGuA3vWeaXfT1Kfu6x5OcuerAn6D7C/paEfaLaFpTgL7GDJ1Ji9bWVYV+Espqp+pjnjnxz2YaExox1bnbOMTrHZ5n1O0TNADvI5PMxNY3q/gZHZLg1dAeoc4Qtr1bodOoqW4ndrgYQcMj5Qt2u9C7nRFQgLFrxuonnT614WhFl/peQdBvoCkBmdjV4t4mRYwZUdKUi7s7BFHcU5+p6l/Y50LrRjqBweWYy/F8PEzfvqVFeOGTv8MTDKn8Lj15Ng8cDsSCfUQCgyfgABCVnAeEeK4FWQY+fudG5P3oQviC4XhYWeXHxMf27TmQwyLatir7ZrBLWZt9TQkTTSsSeRK0dRusdSlzxMbeu+2dSmx7p1LnpG0WncxUuygrQyJBYM47f4cbHTuyTNemLANXr3kL113BDrLStjUH7o+I/EApPIfI/nkjiXXQ22Tgf2qDltL6gnXuVu+9sf2h0cjkiqzPTh9MmA9yDic0iDL6mryo+6pAZxXha/Gg5oMKbH9frb0k+xYLmGELJs/YvVd/rndwMNolvk5sKBlFb4aDQUtm+vk73Kr9gRRO7fq0DM1r89G6KVcVXW3fkmKEet3Y+7neN3bn3HLsI5g97R7ys5JoBDzyIaOfyX6QGixZAtq35aJrd7ZOeEeDGPJBWLQYLe0daO2T0dXuQvfOncjzt0MOB+ELA/6wrPqrkhp013j+fGEZAUlS/fUFgJ5uEf6QxF9XMAy/35/WP5/Ph9bWVjQ1NaGwsBAuV3Jn4H4Qk3GQ4JObVHaW7dtykF+dkGTQNg4AaF6fi976xMbsb3cjsyg9xJEMAeEtm3Hn0ifwzMFnYVbxN9iKKgBAX7Oxn0QLLfqaycZ1uuub+OeuvZno2kOMgdGtBr/5Wr3IrbSWXJW2iYR9LtQtL8SYs5ujZZRDJGZNRt6x7Z1KjDmnkWtjqvmQbVYTMXJ2BlQbZnV7E0C4P3m1BLNAP5CTNdMin3HfkiIMP4k/CeD29yoQCbgw4eJ6iB570p/u2kz0NXtRfngXBFH9PO1bc5Bdxvfu+cZBX8aTG1YzY4w5LsuJg6+7NgtF6MHQPU2qKj159nw7tARu/dcFKBjhQ3Y5wSBwatyksIC+Ji+yKwIQ+4EfCve5UPNhBcrytwBnAb1Re3OxtRn7Gjwo96hsPgGo/dtkWTOv0yREjLS60LQ6P6lgQO3bs1EyMRFVzJTJ4WBMZAiIQGTO351zlQhioldG/jC2GYm8Dzh3pxJIQB6vJ9J8bR40riqAQASHyYiE0NfkRVZp0OK4yPi/zfPUV6JEZgZCKPUntBZ7PivFpMuUiF3vR47FWCT8pBpWFiKzOISsEj5H5649mdi3vEi1N9YtL8adQ85WJWAGQDcPjACNa/KRWxlA7pBA7FFswOS9M7TBuz9LaFGGHN0JWVZyucV8+XTae2JOtKzPR9khPWh/5VU0v12B6hPakFXKN252GDmmEJR4tKDLAzep8iH9VdKoDPB3uOPrIja3aO+7ZX0+fhl+DzhCfZ31frprswC0667P/uZljBr7NVCp8cmJfiZppQAR8IjURLuzyH1QQMgnwp0h6dad+733EAZQO/NECB4PIAgQ3Y1o9xSgTwihEOYBmWRZMLQ8AYBQH4PUF2QIHYIFDVEzUODrlyhrhYWFqKzU+4hbhcPk8KJtByAmJrQUEtHCkDKT0Nr37/ykHCNObUa2wYbVtjUH7duyMfykVniyjamdSFCAv82D7PIgznJ9hc2//BmO7O3DxCW70TKWw042Cl7zn+IJ9EW3b6laWiLLitTfFSWGScKOjBxjO5Eqsab9rXTpYbA78b5qPipH2Cdi/EUNEF16n5ymNfkoHJWQAlllJkJ9IoINDCoz7qSbQEY4QdD2NXnRtUejHRJk1aEXryrJcLOkVLK30VrOnZhWwd/pNpy/RqhdosyTjIIQCkf7dAS/VqOlAvGTy5vQJHTUZCOrNAhXhmSaR0irbYq1r5OsSwBcSm6nGNyRiFpqaxNhDUHRUZODjpqcxAGOxPxzZ4cRZh1QUDTIPXWZKBrXi8op9sxcAYVZEkSZenYJbgly1AeuJyqwcXcp81cl2JDV5mrDPm3CJgzB8JNaiIYElbAoFWaHrLDq7dtymftVX4sH2aUh+Fo88OTSmdWeukzkDgkgIz+MnvoMzMz5FjCwnCDnkFYLpBQQAAiQIJqaB+1bUozcS+qYjGt4GbmOM3SCIZrp39F1m7C7rhTuzAiySoMYelw7N61ycNsu9YXoWrzB8wY2YYiuPACE4ULuUB969iXmyL7lRRh7jpKIUAoJ2P1ZCXKqAig/TG+mE4tOGdP6GUO/b7TXZKN9ay7at+bG15ZRWH8mzBR0lH36WHETGqCc/Z27sjHk6E707MvUBSuRpQS9qGUUIgEBDbfeCsCFPYtLMOFifW6X2H0qJteG2RvrvCOJ56DoxsGtOxkVmLcR2bQd9V8VoPyILri8/FxRX6NeQMtiqlo356FglA8ZBWqinRUgAIgGAPAn1svJtauwt7YEky6rU49LtE1VtFziZ1IAql3/29+thCc7jDHnNMXftxQRIMgyPO++C/mTTyAXFgKCgLxhfnx80MmIQMR1nreI+hVGb9gJbciI+rd17c1E89p8FE3sQdEYto9O7F4t3NkR4EgRns0hFI3rRVax+bke/MUX8GYYW/kkC4/Hk7QGJwaHybEAcsFnlQaY2pucSmNHru7aLEMiMRZ2c/eCUow9VzkQuvdloHNXNqqmdqg2iN2flSLQ4UHFkZ0oHt8LuVeZ6NnhgNqWHopTc3aZIsXztXjgzonAE5U45A71q6KosSAYEaEEds9X/JLGX1gPV4assj8mP2uJSzP77i3SMEwQa1XEeoxwpiHkE+HOlOLEbaDDg1CfCyfUrVWV696bhXzCxpgn8AKQ2Gy3v2cscehr8qo25pkbvkVnOAv5w30qiV8MgkA3pUrap8bk9UWCAgRRHxCAho3SCBwk7rbVjb7mjCiToz5Edn7CzoWhPtgEyDLQtTsLDd8UAlAYJ3IO88zUWPvaMO++dg+koIjGbxNmMKIk2SIgdOBgoBMO/gn0NXnh7/CgaFxvnKiJEW3t23KoTM79oYvxe8+bxt0JA1vfqYAnS8KYs/WZsIvG9KFti955VoqoGQy5XaIS92QYYd16J/aTdPg70foNAKFuN/okgbr2YuhrysCOj8oxfGYL9i4uQRnaAEoKlEhQUJ6DmBsN3xSiaKwmMWHcWV/U+RHSsOX1ISgYpTCvRkEbwzTHeIOhDPtd6K7NQtdeHwpGsM8qKSSgdUsORpTX635r25YDQYiG3mXdD1G3j8gRAf52N/pavGhcWQhAyX8VY3IiQQGNq/NV/h48oO1XNOl1bK+wgojfhZqPylA4uk+l2YuBnNOxcNdFQk+cyYmtd5o5Zm9jRjzqnF7Dm+grK5Jj974M1H9ZhCHHtse1VbZM8hhMN3nOPrrwPs2PFH8VBrr2ZsL3ysPwIQcQgKqp/AIZ6vMYPKNuDxLYUfVkSTGTZ7VLaqFDfS54sul7nGkfoMzHUK8L3qgFgCq5qN8PoSHKxMp+9FR3orStA72dbSger+z3Yr1yQ91rikZLloHWT4ZARC866oGqCnXOo4ZvCuBr9WDEqS3xe7Vw5YQR/siFQK+AhnVQCdqYyMhEZmbyScn7Cw6TYwECwVhmFoXga6GbgJkSiNqEhLJi25lZHEJ+deLQiUXdaduSEye2RLeESFBE3jA/Ckf54urSxlUFyC43NvXZs7AUokfC0OPasXex4swem9TeXL26smVDHsoO1UjYLG6gfc0ZyBvmVxGzMe2NLAO9DfzhhgFgmzwME1DL3Y/2bTkI9xGSY0nQaZ3ivxH7QO0XJXwLHnyMx+7PSjF8ZkKiPaS9FXUrilD/NduWnCZdS9Y51UhyHuxxoeYDRRqlfXbaQRNEYlz9HeZbCTlOnTuzMeSYDlW9olcC/HrpTVxSSfp4bMsBZDWRrGPSeaSLUZMRra9RjEknMXHjHtX3vroMdO/LQN5Qi+aVXL5CUcKIMGmJEeTevDByKgNcPmQPRMyZnECnB3JYRLBbVEmWYyCTWJJ91woXwoslNKCQWn/8fgPiXitA6W30omNHNiqO7II7I7URMwS3HA/PbYbepkS5XQtKMHxGW9xcs3N3Vjz8ff5wDVMjq9dbJOACIjIissitwercmYPOnTnGexFlT+CZYzTCOSB7kBENh920Lg/tW3PxGO7TlWvfyg6zHkNEFnVrMOxzUQUZckQ5X5vW5qNzRw46d7CZpwZZv39TNZApCs0dEyQ0rS5QCE5NW+Se3F2bhd6GXrXpqRFUppvq96iYUxkjFsly7+fEeWXjsVlMgGGES6Id0myLBvLM5QtSQLRD65vROaj5SQqJzFyFWq26ul2gaXXCEmf3/DKMO7+BKxoiT3oBlpVOb0MmLntLyf/XhAJ4siLIH64XRmx/zzgiZXs0ah6L3gHsRnbsJyfzFMEJPGABpKmKVh1qFSTB17MvE62b8rBvabFOgxD2qaXJnTtz0LMvC/Vf6gMdxOxWjSCFRB1hLcvGi9KbR2idrG6got5cLTvqnNy1O8vwsOzamxmXpESCiuReiHKIAZPkpjG0bsxjmrNoYcffRY4IlnMvqO832GQpe6D2MJFCAja9MgSbXhnCjMdPQutgSrZRt6IwcV37nolyjasKIGmmf5Aj6ACV8CLGPEJhcJQbY/erx7ndJPQpKU2TZXqwgthasBL2moSd+7giusXGmzIn61YUYts7FSrmAwBaN+dg82tVpiFvdSCVaZT2SHMjX3NiDyR9DXnRpyE22rYl3qG/Tf1bItIcPaR3yCei5iN7SVJpQh0miLnva85QaS/INdO1R722Ap1uNK9Tmwx7O4JUnxwefx7mb9H+9dRnoPHb/Oh3e3tSBpHvh2UGbIbeRi9aN+cgIgvcQpn2qKN9qMfcRGWsoGf4wj6XKlQ/DXZSDWhBDcajeTd7FpVix8f6s5hm6ipDOeMjISFpv5awrKx7O/V4cvSD09fkVeXF0yGNfjiqZqjCPnb59u36877+Kz29pFTErkeKCDptrE+zJkgTd3U5c0aO9z0FuuiR4IwSYpOwZaJphH7wx0kl9q/eDjDaiQM5mZxIfS1ebHmzCq1Re/8gYT+99S216nQbJTlnDEZSCCNonQx3zS9VMVIk2rZmq3xbZFmJDNSwKh9d0dCZRpqM2DiRG5UYdU7uMvCf6G30Yt/SYuz4uBw99RnY+lYVmr7NhwgZwR4XlcnjgdEhqt0M9iwu1hEpWsgyuDd7K1oYxUGbXj7kEyHLwKZXhmALoWqPaeeMoA1XSzICrISTsgR0Er4X/jYvWjfnqvIkub3qSdC8Lk+XUFV7WPk73KoIeKycA3G/Gdo4Gw0pMX57PitRzBI0JlGZhemLkBYJCWjdnIPaJUWqBLms9dLXQhyMsbGimHBFAi5EAi5dboqm1QWQJcHUdFIHCw7EPNJlI4R63Gqmiphz3fsycWfoB7p7At1utG/PRqBTOexj49e4soDTX0OPlg153OGltQlkm9flY+8XRaZrX44IVG0Rj0+OvjLifs29DVGzr72LS9C2JRc1H9HD5hrVmUrsWViKptUFyKvv424jFI0maMab5UwIoFzQO4sDxqaugDK/eKFaiwRoGguqlrvbrSujZYIBQAqK2PZuJba+WZV87i9ZVkIj2/DbpNEzRqacBl2Av92t5MEKC+ioydZHbrU470J9lDPboA4jLaAWbQZCVjkixH0/Y9AKlqh9AzsqpupMt6CcJveRglF9cdprICCI+xfb4JirWQCvvb8ZoxuTWDZ9W4CSCb22nW8lTr8RLVSmY7KxxK5xVaHmZiWrueLQCQQO6dJtBCpQmJzY4BkxiuRhElMZt23NhXA4XSLGizoD5kjrY9Vbn4ne+ky9yR6Bnn1Z2PoWH+FnyZ9GFlRJQEmEfa6U5YmJBES4vFEbYbJ/MuLvrm1LDprWqJlgf5sXbmKXFjQmmi0b8tCyIU9lZqO1U+bRPAKxg0GmLjreHB3a6IKBQw5Hxvo1yCyyF0CBhK/Vo4oYJYUEiB4ZjSsL4lrE7tqs+FiwNH+kiVwkKCrEAoPxBOhEEy8UYsSDjIKQelyJOZCuHD31XxUyOgU8GTkHN3teVl32t3rREN2jskqCCPW5MOacRiaBwYPu2qykNLA9+7LQvC4MQ6pc0BPFApQQ0roxINYbDbKkBIYIdLmw4yO9mQpJaId63FzmZA3fFqBoXJ/CjG/KRX61TxX500reMho8vWH+ZM/RpsyEh5mC/WS8vDmxBIFurgooZ1/F5C7NTeb1shgs0iKBNI0yghRWfMC0Y9W9NxMNy4vgsaKljNVpg8GiBbdo3ZSL5rX5KBjZB9Eto317jtoSBNaEfZGQQM0jlapoblq/ZRINKwt081d0ycgsDsZpuO7aLMhyO7fQu21zDqqOVvyRuMdBFhAhkkMHOt3o3Mk2QUs3BEeT8x2BAcEqS9YIWhYxawbbjrrE4to515q5hyyrVb8t6/OZARgAoG1TrnIwE+p7w8Ud+4nxbCIkbvOzQQcLm3tvQ4YuMl8MHduzU+ak7e+g+0vIshIxzt/u1jE4AABBhgsRyJLip6BLgEvBdgOtpCFi5mqUg1grZdeibWsOtrxFaderEBepOCx3fao8uxRJaNeMzAd5JK2yJJhKppNB+7Zs7JpXhtolxSoTxtjalCKKFtlIk2wXfU30cSFDBbPyIPlavQj7XAhYtOungdfcgwVWDqcYWGs0AhH+do2gRgYWRw5j1hVL4MhKTLn5VXqEM0NIila+dWMuWjfmYecn5fhd8Or4z8nSMt6ekGnqghhifhpmpjVyNEKdLXDcptU+a0FK6GUZqF1SxGUOxJqv5BxirQsSwW4XtrxRhbrlRSrCFwA6t8dM/mzkK7Nhyteh0Zj0NXvRskFhGjp3ZceTpJKWIEpj7Dp9rR7UfFQWv7fhG41pfYyuSlHiVCP07MvS+V3LALLL1Iw2r28foB4zXhqxfXu2ionSmvXSwBs4yQ6SsWIaCDiaHAvIq/bFCfqYiQANvjYPtrxVqbPnpKG30csMYGCGgHbzsFMHR0Q1EjQGxUii2tuYgboVGu1JbJOjLZbob6RGlNwM+pDBdRgMRlhjfNkHZ8eOHARsmulosW9pMfKjGgZV+GbZOGKcIAIuSGjbmgOfASET7HHBkx1JimCSIgJcDE2OGcjIXiRyfTUIQZHupiIsNKBEw+JBWpK8WkQs6pjOryY6xskyAHaQSYQvbV5jLNUOdru5DvuBBI0pHyfsg0SRLcpQNDws9NYr/oldBgIlO6j5sFzlfPytPC7+2cyZ3Aylu+lmZTTw7ulme2jIJyLY6UZOpV7jwyPQ2Dm3PG5ObYZQr4vbfJOah84GYv5gXXuy1OHbkRxTmgrLgK69mUpU0HiH+O6TIsp5l1MeQO2SYoR9LtQuKUbV0e1xZieGviYvciqDhgER0gnaeaFlNq3UxYNIwBUPp86LBs7kuFoEe1zo2ZeJwjF9XBFW9wcM/Gm7H0GXsJGBcJ9iZmKkCo3BKASnGfYusucsnQw6KM7eZhE6tKEzDSOaRJkoUgpK+oo8GL4I2RXWolkNFrB8TuyAFS2GhUCXSxcsQIv8kURyW5PDWxBkuCDpHDG1qPmgArVLiuFj2LjzYMdHikYj2chyJDLlDgAKsW/H9lwLGvFFs8uWI+gXh91PIkdRr8uyIoRhrdlY2FS7h2QyUCWGrTHW1hqZnfIiVdG3mKBUXyG2I0I5dpvX5ZvmDNvxcXnKJdjaeSADWNo1CTssavhTAR7C1WwP2P5uJfYsKkXdl+r562vzcK87nshYA4HWzTlo38agKQR7QqAYUmL+rDW5ZKwvLbPZvC4f+5YWY8/iEpVwpf6rIl1gHikiYOenpdjFMCdMN8J+l04LGzMpziq1ZkrJE4raLrp227N2qfmgAo3fFuh8kf0dbtQuKYK/w72fxVZzNDnWkIYzkYxcdKBCm8ywfWsuKo/sohMZ8UhaxCWCgGyRC5BTEaAmCEsn2rdnw5OdXHiezl39965rpCqMEZX8Fr2NXuxZWMpk0uu+LETx+B60byGjRhkTkVJEgFvgG4+eusykIrxIIRHtNdn89v0cUHyIUrddk1G2WOht8mLPwhKVxiId8OSo33PLhlz01GWi9JBuanAK0S3FBQn7lhcZaubSidg6D/a4DKMOpgxpPq21zucAAJnuR9a2ORfuIekLgsELGQJyVvmS1uIAgCtsLez3Fka+EhK9dRloO9xceNi5MweujMT+tG9JEUoO0ieGbSwoQkUnv8YJUHzV3FlSv0UXi6FpdfoED6R/WrecBXmv9Yfrrs1SrSlWIBstExk7F3k0s70NGVxR/9LFQNAE17G2RJe1+Z6MT6ARUmGCrdVW7V5QCikkors2C+Pv27/YnMEpshikSKUk+buOjp1Z8VwTJGILlJTqkhLxMFz9frj4O9xo+KYQez9PTnNm1ywxGWx+vRJ7FiqaCirRBSXi2s5PylVZn83Qsy8LQkRKPjkpJxq+LkTzWj7HXB6k2neSJwjAns9KAVmwHZqXFxkFYZVWoHldPnytXmb0vbxhiRwMA8XgAIk1H8vVlG6k23+WJiiQJAF9oI9x2Wdt6e0QFwRkNNh37lfXlHqE+txYKh3KVZY8NyRJoFpNbB423HIfYprfVDm/pwLJ+klIYQF7pTKsksZiTuhCy+ZRgGLiSjLwEsNyIexzoa/ZqwgzJIPUARQwNVkaBLvTY26bUagXUMWCNvBEx8sfobgw1H9TkDYBd69BKom8WafyVULJNcT4adDDYXI4EZr6a0sh/xwYo/7LIuohEQmKaF6fy5Qk5gd6VGGH+wO8UcAGC3wtHoQ+V0zU0ikRD2/V5/vYX9C5Nrl+B4xS0A8wrBJfgyaQRz/vr+3gI5hSiT2flUIexMduKgn3ttLU+KFosUEeiUsCf8Xx/gf4b5IEarhxl2R90sWEReEkovulGlZSGdAghQWcEJyDi4K3QYL954oE+e7dvaAUNR9UYPNrNgJmcCBdWhLRTZkvBoFxtOjanY2GlflUs/9ksW95IaSQwBRmAsCw//yHqy45IiDY7RpUjLxdDN6TepBBKhzpaHJSDFo8e7P8N898/E/04MA38bODzCJFAhuzV6aFmk0lIh0CAjYSQh4IuOjcf+DDd/8w0N2gorc+E0XfdgCHDHRPrCFdhAkLznauh5lfkBVEXOljAlZGxkGyoIpj+UOKNqm4LW9VMjUVAwKTyfz5EYdjxuo1zN+7w9mIyegHE2GbXRbgjtBHghUCvHFkMSp22deY0qwx+pq8CA7nZwh4tVFW0bU7G127s1HASFBqBYFOD2o+pNMP+1t0tUG0Sgc3ZFlWJQPdnxAscXjZ/oTgkrD8iP6nMP3tXnTt6T+mI7A3PfNqfemotNRLQsxM7iS3QmANBPK39/Zvgylw4k+Vz8FfTvs5VzkhMoiouUECVyQ5v0MV0jS8OUEfXp57O276+oWk6xJt2tsOKgYnCr9BpNS2QmNTXzkMXLplAR7+7F7kdSdPJKcKdhgcI+R0+swLWURvQyZqPqjQ+RS5M1O4liyAllcolRD2My5n8K3UQQq5v5wPkgQtN4O3deAdWvsDgis1p2pOld+8EAOe3DAmXNQAyeZGQLP5tQJeW+rKozqSagdIrdSXxCEz9qSlXhK015M7NPUH4HcFLs6wu+nGphEj8Gbx7czfi8YlmD8x5DA5WmSGjCNXCgbO1drAJunSCMzc9y0Kgr2YUbc26bqC7v41fbYK0SjRtgZGjFdApPsBhvMVrYLYKuOKTR9jdFc9zpq/3Fon9yO4Q/3IeKQol12qQTW5O4DhMDmcaH/3q+QqSHe40iiyywNJE8r7K+SIgLxqXkKV/T6yLYaCJJFVHITgAiTR3tKK+PtnSSYbKQ6gT+mssuTDe0/y7kX1jNak6zEEhcnxt3vgzuMdl8F5gA0YUsTv2pWsDzuhFeVHdOL8o1ZQfx99ViPGXViPbGJ+pkuTo41up0WRvyst7aYCw7qamb/lVPoNffy0r668uSNFvVKjOIXj156Xj/LDB+/7KBiRGq1Ko0g3A2/9wXlc96cq+fRAQ+5HinewKjyGn9SKjILvDo3oMDmc6Pzg6+Qq6CcDcFkWUHV0h4pbD5V+d8zVvCYERgyjTmcf5kIKkmAVdncb/l45tYN63UqEM7vw5ITTRqK7LEgejZA7JL25kGjWZuE+N7Kq6Azu6DOb1Pc7TI4KBaNSowW754uHbd3nzYugZGIvXJSIjQCQkR+BO0NGXnVCS5suJseVYbwGSn2dKWln9FmNltabdg7T8Idl/6Ner5jcieEzjX0ZzPKlpQo/2DI/6TpcUVOiupISlEzSh5YeLEgVA8YUunEK40afZT53zJBTad9CIlWQxf7jPAarRXNWSQijz2TTPwcaBulrGITYXyQZMpBVHML4ixsw8ZI6jL+oHj3H7Z++RHbAa0KVUchmhsQUmL0dKu9k/lY4updpr2tkKjf0uNSEmCVDBqca+0uW5MJj9cyMKyOC4kPpBE9GQRhlhyUIjpvcdGJwsOGGlf3Tz/LDUkOMHdS22+adfPNOEBJJ+1zB9Jht0PJ9xEwhsysCCInJCzI8OWFk5Ecw9vwG7nvEJEwKU2UKPFgw9txGjL+wHoGM1Pl8pMOCIlVBHCMuOqm3ZMtervu9uclr/gvH9IOvjwmdVuI23qeGHNuOSZfVofSQFOxnggyXd2D8cmiwYvpoBDmVfnv9AIfJ4UQqCN/+QMxkQBAAwQW4vHLaYujxSAb7HcRryrep6qfl7+FFdoVCQBWLbE2OJyfCVGX3NrAP3XCKkmH6LWT/tgoyY/VgRkaRnsktmdQDl8FaId/ZL90fMssNpoPt1L0r097GpMvqIIiAN3/gTCC83GaGiNtZ9pMFMQAgb6giWOhrzMAPN89Luj5PlOi0wi8lYz5DSyQ87gJ+BmuwQXQBrgzzCVBxZAd3nanSYqcDLCZntvd17jqqjm6HNz+Eisn2NJGpNt8qmaQ+Y0ed0QSYhHHOKgkhp4JtJZBTqfymXVdDjrWWMBZQnnfkrBbTcp5cfp/p0oONLUSMMOJkel9GnGLeRxKSb//yXXWYHE70J5NjZtNtDP0i51WbDj2erSmgLZDBKN3z5BDEjkH3jDZcM5M3d3YYI0/Tq3uHHteGwmj4RiOpqSDKTB8GI01Iqg6JvhZ7ySiLJ3KYdQxSO2QtROiJYkEEBKNkLRqqWHvIxjDk2I5kumYIKwRGdih1GrvyI9Tt0kxPyPwM/UkA51QEDNdGlsbHzu4ULRydRMQ6wlz5+Pr19uuJQrDDodk87SumdCCnQq/5dGfyEfXuLBMGtJ+tJNTnnHHbvM8IAGWHdsObF0LpIV1JBa9JB2hMTtG4Hkua98LRPow5q1lHlPP6wabar8eTHUH1TMV3s3xyJzINrDNiyK3yY/hJrezIZ9Flqu2rLS2dKMObF8Gky+owbDqbtsos0tcdO1uGTGtH0djEvkMyaHnDrDEbolvGVzsT/Rh/UT3GnN2I7DJrPshi9iDJq8YJh8nhxQCaq5keEgS0BzrAz+SQkih3djhutwxA9TleL4PJ6U8nRXe2emMrGtOL4gk9qD6x1VZeo6HHtZmuinCfW0dkZBYHkT/cHx9rIwmrILKJlFyDwzFlkjCb9ZQf1kVl7kjwSjOzywOWN+kY+INLsOGiRYmSAZcBk1M4ug+e7HA8QlfZYd0oHq9n/KxElRp1RpNuDhuhYDS/dnJq4yb+jpggszAUd9qvOrqdPoeI9ebOlFJmXmkGM2GL7n1o+u7KiChSYBNkFtMJnaqj21FxpMIE5g/Xz80xZzciYJCgr79gizECUDwuMediZxGNyWUJ58I+ESNPZe8bwwyEa+lAdjm/v58U5t8sPdlhjDm7GWWH9Fg6A4vG9WD8hfXxOZQOaH1y8qp9qJjcpRYKMjDqdPXa0Ca9zB8gJgcikFsZwIRL6lAygS6AKBzbi4KRifkbW8ORkPF7JfcUwSVzMVBayGTeL861N3R6G6pPbEX54d0Yf1E9Ckb4kFmSoOlIQVLuEGuMtOiS8f3Hl8W/u7yyNQ04AECGYDOo0kBh/+rtACIdkTJYxE3lUerNLrOYn9MuO0QvXdY6SQ89vg0TvleP8RfXx6+VH96lOvxHn9GscnqkMUpM7VY/2YEMOaZdpw4WXEDF5C7kVgXsmWRxrgjteFTPUB/UhkGiBLYmp/RgtrYkFZHLgGjTdgJhCIq/l5FGh5Q6GWHEya2WCAgSQ6clTAe8+SFDDSQLLiGCsec2qg7erJIgXIKMonH053N5ZYw5twmVU5T1KQhAxZF6222ezNcxZBaGmc7yMYw4uQUFo/pQdXQ7XB4ZVcfwmU786ZuXuPthCgEYfnIrxl9cj8LRfERN/nC/ao9JF0w135rh1e7lIoWIoZmQsM6AwtE+FI/vxZizGzHk2Hbd+vDmRVIftpXoS8WUDmQWB03bSMUZNuKUFpQe3B3XVsZMFHOq/AaBBwRDSXgWg3lUV5G6M4UUQInRycEaOynMTyIJRL055ewzmwxjDgDlR3TBlSGjaFwvF7NNomQiXZvs0dAWomb8hh3fHj/DWBppQGFmM7WmvZpXwWL+SQw9vi3ljvhZUeLfSKBYcUSXijGIrYFh09shiLLepD36bKRgxC4THrFhXp4/zK/QLoi6GgAoGOFD5dQOjD6zCSFfos6wz2VpXbizpPh816L8cD4Gu/xw++ZyAwWHyeEF44AoGNXHJIrMMOSYDt210oO745M8Bm2ElfEX0gmH/OF9XOrn/Go/RLesIq68+SHVISiIsikRGluEA4EJ36tHwSgfPFmpJR5yK/3I4PEt0GwuWrMGIxWwJ1tiEhwZBeoDRXBLGHNOI0bOakZG/sD6esT6zJIIuzIiyC4NYuSpzSgcw2Z24nbFNoku8rCsOqqTqu43gyhH4MmJYMIl9RhzTiOGz2xBVmko2r8elDPMwngIRStMDg+yy4MYckxHnLkoHOXDpMvqUtqGGQRB+YvvGZxL3+WRMeyE1pRk4WbBciANzfzNphCkpQd1Y+z5DRhxSgtEj4TKqR3oazXOqeLNi0AQUxOe3QxkG8Xj+jDqtBaMOacJmSVBVS4bMlhGKqwRvLkRlB3aHd/vhp/UivLDOzHk2HYIRkwWsSS0mgHRKxlKpSsmd2LsOanz/yQFGzHNrTsV74yYV0XjelE5tQNjzm7UFXNlqNuK7WeCoAg9YvvjyFnmEbDKj6ATnVqNr+GOZDAtaHNZu9/ymK27PFJKrWFcGRGqdkVPi8lqX9ZoH3KrApjwvXoMndahsk6IzY2efYmk2lZ8ZlR9TBF9JIhA0Zg+HW0Q6nVhPKdZcGweigxLBZqPKg2kVml/Qb8wOY888ghGjRqFzMxMTJkyBV988UV/NJtSaOOKe/NDGHVGE6qO7kDllC4MmdZmWX1Ik2zEVKsFhP13Rn5EtTEzHeMZO5lRuNuyQ7uQOyQqPSA2acGlVrcmE5knhlSar5DjwTpczcyGhk1v05ldiG6+iDZmxG52eRDDT2rB6DObdJFacof6Ve/KKMHeiJNb4c2NIKskdU7drHGJcKqhe+oyddcKRvdi3PmNEFxAVmkIVVPpTEJOpR9lh0YPZoIZGH5SC9zZYQw7gS8/TvGEHuQO8SOrLGjLDMcNZVMXBIVwy6lMbN7uTAklE3p1xAgvPBTzUiPTPLsarX6FhkCJhWImtdExUy3tQZg3NKAS6GQUBTHhkjrTPYXHN3Hkqc1UfxEVNMOrlc4XT1AII9U6lQV4siRklwUx/qIGFI3pQ299Yt7nDfMhsziI6hMp8zXNmuz84X3UaHbuTAmjZrWgkCBwiyf0oOxQxcw0HSFtPVkSSib1wp0hG/sTikCMmvbmhVXaV9GlmBWxUDi2l8usihfkOMSIPq12BYiaaBOPZBZox0U8f4wwpZkDad+D9iwpO7Qbky6ri+/5hZOs+4K5sySVoMnI1zDQxWbetYQ1oA/yIYoyvHkm55OQWuEP6zzUadYF9fiqBbnRuopDqDqmXdGURxkTKUS8JIrVA0+QFVI76E6RMJYce8Etw5UhY/hMduCAyqM6MOmyuvh9LE1OsJPPnNZIQzlYkXYm59VXX8V1112Hm2++Gd9++y1OOOEEnHnmmdizJ/1ZzVMJoXJY/LMrI4LhJ7UiszAcXzQFI/yontHG5PqHHNuu2whICUj1zFaMu6AhPhkrp3SiYFRv/DDIH5EgkgQRqDiyE9llij1q/LoNJqf04B5Uz1BUyWSYSEFQb3Auj4zhJ1mLwqFFoIu+kCZ+37pUmjwoRpzcCnd2GEMIMyYApiZZecP8KjtoMuP98JNaIIhs0yWScCo7lB5uMqciqIQePiRRR2ZRUHlPBCFUdphaGheT5FUd3a4z5aAdxlYDVbizIlQfq63jqrnuD3TqD8XOHTlcRBRp2pBBSARzKoIYd14T8obymeRVTO5S5q2QvnwEPGYYNAguWXcIVk3twPkX3IV1JaN15fsrv0gy0O4thaP7UH1iK0adntgTKqd2oHJqh850UwdZgOgyl1SPPbdJFfAgr9qHglHq+R/Tvhn3Xb3/+TSBN2L7MLlOSfOq2LOXH5FY564MCaNOa9Fp3cnyKqQoT9rES+sw9LgOw8hgZJ4e0aXs8VnFiqZ+3AUNGHt+AyZ+v04Vfpr0W7ALlvmyy6tEkxx/UQPGX1QP0a1YEwyb0Yqx5yl96JX0gpMYYuOpNcGyAnduGAsPnawz9YxpcorG9mHkac0qc7GCEWrBhDffuH2BM9IdLVKdESoP7UTh6F6mSRHNP0rr23m2+CWzfpYmxpsfop43tPtHzmpRfPUMoPJRSRO0a0+Aej2wzorCUT6VGS4pRKW9d9q6N0JWcSglvqSkP1lsvZECOh20prkMZjcWVe5ARNqZnPvuuw9XXnklfv7zn2PSpEmYM2cOqqur8eijj6a76ZRCcmfFP5cd1s00kxp2fBtVs1Aw0ocxZ6sPdXIh+ds9KpMn0QUMOaYT+VGJaewQitmhFo/vxYhTWrlCiPJuLe5MCSNPa8bosxTVpoo4EECVmLKcOGlOlOQhOPqsJggTlUM3WSI1qziEcec16Q4lMoIK64AkJSOkdCinIogJ36tPaB00IMcmd6i5Bm/o8W1oK8iP27KTm3F+tQ95w3xxgq7s0G4UX9pH9X2onNKpM/fgCVMpuRINVkzuQnZpKC7BjkGGgOoTW019f2gaSxqRRJN2lR6UGM+UOaLamD/fVlxsWmbI0R0oHNurG28ttOMIKIx3xpGE0MAFBOHBl5UHGdblzQtbJoJsQzP+WaUG711LPAjKQe8mCAiXR0bRmD7VNSNk5EdQdlgXiijBG2IoGqcEEhk+swXDjm+3dRhnmBGnpC/imU0YdkIrVVJMvpeOGoPcY0R9VbGkvynS7vCYSxaP70VORYCacNidKcGTJSlmdcQZxjKvtRIWmaXJie2xLq+sMuHJGxKAJ1upX8wz0wIBIof5z/bhQ3XXPLlhVJ7eiW/HTUChJmmtS1DaF6L+hioTKEEdyCdVfrk5FQGUHMTv2yCIQNXRnSieyHCu1+SfGXFqc3xcY7jE/bnlfpYd2s08m0nhg+hW3q2Zr57RXBpzjt6szxC860kAJBtKQI9G4AsAY8/VmoZZW9OFFoLGsEDSUMXjCWufArqwRztlWZoc3vGU+impfSqRViYnGAxi5cqVOO2001TXTzvtNCxbtkxXPhAIoKurS/U3WLDKx+fsm1kUxvgL1As2o4h+gJAbiFHsduX3IMac3YjhjFjnSoWsy/yLMas4FPf9oC10LWJah9wh/rhEqWhMH4rH96rswd1ZEdXzZuSHIR4mGIbopB3SVlB2aDdyh/ow9Lg2jD2vKW4eQ74P8rm0wQIE0UBLQNwX6jXnNPOr/Xjn1BkJ7RjxSkS3jGHT21FCHGJhsOvUSt54mAWRyO4eO7i1MfflKOE64iS9CQ5pUkdjaGhR/UafoWbqf33aDZaS22mZpJrqoaieQekbsUFnFgVVTEk2Y10FXOYJct1ZUtTnx5hIrpjcpdJGynLUR6uE6GP8nZm8K0HWayTThGLCRCijMISCkWwixW5kLlUd0XmaQwhGSg/qQZFBkkAxGkgkJq20Y/ZBamDoHUt8zCgIM7WJvGNAlovNP5IgSTdcXhnDT2o1HFcdGHvImHMtEJ+MMyLsMyczsvJDGHFyi2HOjkAH26xq3IX1GDKtDdcffq3ut+EzWwE3vQ8syXa8XyUhDD+pxZQINwoGUnFkpyr8uOCSUXZoN0ac0qKyxDAD6wx2aYQKLCEDS4gR9lsnA2mCmHmRKcicxt4rM4tD1HnmLouorEhoEQqtRMRTQbDnIxcTXJImy54c9biyBKAsSIyIbjHBn5HJZgwur4zqGa2ontmq2gtZOXC0zAt7vif6NmRaG9XSAwDODN5l2sfBhrTaSbS0tCASiaCiokJ1vaKiAg0Neoepu+66C7fddls6u2QbQUIcYBTmF9ATodWMGOmkTXomRxx26+H+FAwXGtGCXMv3eXMjGHFyC3XCx7Ln5lQEMfb8BrgzJUhhAX3N3jjDRh72Y89pRPt2NWEpm+iY8qt9aPi60HK/Y3BnSag+IXH4jDy1BW1bctgRzChSCqadOVGWN858RE4cJmR4a6saDV32aRPhiuiVIAUTbccluDpVdqw/iWslB3WjdVOu2seG0h7tABZEJUBEd20mppY9BpdL3e+icb1o35pDPdQA5X31NmTgw11T8frIkzGyshHneL+mthN/ttwIMovCKD2kC4FOD4Yc246dc8sR7HZDcEuQo/4YvkBqE1fSmGEpO3ExHrTBrJ6oRFn0SGq7cBMMP7kFLevz4M6U0LUni1lux0FDMHpjlLAiqs8uD6BgpA91O4shtlIOwhQI8Eaf2YTufZkoGmtfoplNYabNYOYAzJsDjUx0y5skMrZ/DGSQFh54GT4vVvKosKTBBaPMzXTyBB9Qzt+UFu4MGQUj/Aj5E4xQwcg+lBzUDW9uBH6GBDoL7PnkIs44Iwyd3oZ8g+AXMQa3MDrvY9YXVvOTsMDM+aLBkGM7UP9lIYonqc8/T3YEtDdkFCE0d0gAReN6kakR4HqGS/Av15fPyFdM+yd+rx59zV5c2/Vb/GHly8qPmleTWRzU7WHJBPOonNKJRhEo5jC9iyFvqB/DT25hakgAJXl087p85u+6FBaMPTSzKIwJ36vjFgDmDtEzfCzz1aDGRYDF5JB7YP5wP7KKQ1jx2XjMrz4Kl29dEP9tizycr5ODCP0SeEDQUECyLOuuAcBNN92Ezs7O+N/evXv7o3tceO/YSbj9chHfXNynUwVrQT5a1dHtKgkA6dwqiMCEi5VQzunyKwCAMsG+Riy7PEiN6uUiTPI8WVI88lLekEDChE7lXG8sw6blAhIEExMai8goCKPq6E6mEytrU6f2jXh+XkKAZOrItmi23EbaN0FUIhQJoozSg7sNzSjc2WGMO48uhTSSTK8ZNRY5VUqQgImX1Kuk/LT2chhBN0S3jIKRPgRdHkia7caTJWH8RQ2oOppua+7yysgf7sczx5yDVeUTmEwx+RzhPmUwyw7pwbDj2yG6gFGnN2PMOY0qU5Saxg5qXXbxpTQROVV+ePNCcT8qOUPEmLMb434HACCYRMPIsWjrHb+vPIgRJ7eqo2lRsBiHxz9rAx6Ibhm+UxKJ3sgDPhWmOt68CEom9urXiwUtkZXExqJb4gpkYUc7ZHgPQdz4RHuJd0nENJre0ak3Yxw2vQ01hw/VRZjbUDwSHTPzLb13VtFksrST/oYsrSwLmYRVggSBuqfe5nlOd23zUSOQO9THrX3jFVJlFYf4wmVbBh8x7c2NYMQprcjTEMkVk+l7hlGgAEFQmAeVHwv0RHR2eQCjz2yKrxdBVJjG7YWEWWG0mVFnNOHxQ85D8XjFRLj0kC4MP6kF4y+uR/kR6gSrvIIJQVCimQ47vp0aRdHovpzyINws37eoL+iQaQb+hxbkA1YsHKzA167ef1jmap6cCEoP6ULFkZ1KMJ68CH58+i14/qAz8f6o49LTuX5CWpmc0tJSuFwundamqalJp90BgIyMDOTn56v+Bgtqi0uwfqSI7jK+mTvmnEaMOr1JZ6dKOvMLggzRI5vmyUglrCQepCGmNi60IY010lYNn0mLUgQMP7ENI05psZ040gpYzEr1jFb0lWTEv1cd0w53hoyhx7dh2Amt3ISXikgn3Z0oZ0lENjaBU6Q/is+QEbNSehA7q7W232SphZOnYPiJdMf+SJCIunfkZIy/qJ4rlDeNSeEZu9h9Euv0JgPh0H52y/DmRlTjZJT00w5uDP0K1TPaMPqsRBSrCER48yKmQhESZTEhCAdxGXNEVpl1mmwlYYKj7typz1wdIQbz0RHnJ35IY8Qw2vzncdLVSpFJ5Ff7Mf7iBtNAFlYiYvISsyphSQpO2MqjOjH8pBZ4j0xxrh0owVfqx5Xprr8xbiaCZdYYNNboJCXAI+aGixGNjyUII/PLMfcOClpGFqH6hHZu4VV/nt80JJuDiWUyrjWD44F2lL25YWqENomYFJFO5XNmYRjvjJ0BQVTOt7JDepBTEYTLI8OdKWH4iW1YfcRYePLCXPla7EbHtAKtVQXpd6STZw3ENNG0yfTJgSIYpDH2C6qnAAB8ruQFNgOBtDI5Xq8XU6ZMwaeffqq6/umnn+K44/ZP7pB3nnqjZjOGFZjsu1ukYYa//yH0CwCJBIxGSb1i4HUKZqF6RhtGnNyCEoOEkCzkVAQx9Li2eAQbkujNKAjrfJdEt8IEhkrdGHpcwuysc7R10zsjVE7tQE5FAEUMyV1mURi7Tx6Kr/76MIbPbIk7r+ZX+7mjgQHqV28WTvNj6WjT+uLnBGUVj/l0Hhqv+WPc2dGfR9mgNF2QCWrTSJOkMqPyZpia4pwe+KdSv02bp4Q3C327Iolk0YgQJQmmKJOzVdI7KtuBDCGeSyYGreZK6YKJ6ZQFiV7JpF6Mv6he5XthFjadPOTIaEgx05kV0iSMPbcBw2a0Yt7QqfydSTFoOcR0MDm9uHIa2SQ8MvLDeDB8AWqkKn2dxNqWRXYnhjD8OMae26hKUiiIMnIqggjzRJlJEVZUHmyJMQCQsghyJHOieoeM6rVhg+895VJkTQ/hm6KJ8Wu0tcjCblkvgI2BNDFvm5SPgpF9VH/E/oQnW1JFXuPVcpjBagQxQK/JoUVua5ILESGYHNnPP28eHnUxes/M5QopbsnU0iJiArPMohDaCxL0yDDCNUF7xmu/108sYfvSpAja6HhGTA4LW4pH4NqZv8dPTr85Vd3qV6TdXO3666/HU089hf/+97/YtGkTfv/732PPnj349a9/ne6mUwxlgia7bPqaE8Sm2SG8U67Cr4LXMX9/LXISAEXSN/GSOq5kkclGbhLdMrLLg3zSOcrz5Q/3U5N4AYrWIYbmggJ1VaISxerT6qPQdGSxlS6bomhMH4af1GookfPLXgSGjTAO12gCksjPLg/AnRWhhv8EgAA8ODvwD656afPIW12Nmb+5Iv6etp1YjU9GT1XlejCaf+ukUez2yIPLyHAbwDfS+Lgdr2WiKdaEmSaHEwKFyVknj8biyGFJ1csCrb+8ChEeQqVOLsYO9xBtC7pybkJr3phdhH+fezlGzmpG/nA/xpzTiKHHt8UTar4bOR7Xe67G2SX/RFAkHL3TGVVHU3VOlZ+LQDFkaA1Ahoq3Aq1Q5u3ICSrNV7wcpyCrYJQPVUe3q8wCiyf0wJMTiUdhBBLE2m9Dv7HVb1sQBMtCiZhv3a68CiwZcqjtpoedQJgAcSwYbdSu+XlTMbP0AXwgHRu/ZmWmfCuNxS6JzugUEklt75vwfQw5tiNlUdeMznozlEzqRceReaiY3Bk3DbOiiekpUYfw/u9BZ9l4LhkiZFVKBdo+JgMqJscKauUyU0FRPABSPwT7EERgwSlH4ezz7sbYcxtUJnHao5H0K/rVyTei9pBKSyZ0dqDV0pkF2mChpnAour3mwXoGI9LO5Fx66aWYM2cObr/9dhxxxBH4/PPP8dFHH2HEiBHpbjqliDmRJZvPSpWIjmMD74bepIQGsxj9I05pQcGoPn2yrDSCHKqbQz9T/bZBGoEvpYmqa7Fw2YBane2GsjlUTO7CfVMug5xOByYK1kijcV/4Erg4k2WyQZh5uRWJbfWJdJteAbKlg9ksOVk404NHDruIajoQA9leG/KY5awcfqERJ8Y/J8vkTB5exFGWjZgJlDsrEt/sZQjYJ5fa6hcJ2sFLEsD/CF2uKxfzN4jlwiIjNPFE8qqXS3Tt0oiKkp//PNEnwYWAx4usklA8EWp+tT/+TsNw4X3pOOyRKxB0JZic2IH9aPhc036ZYUbgftV37XwitbY0xExXi21okwHNwW9lkRFlO+Qc7JXLqIyAmZZ2Q/FIjL+wHgBQONqH0Wc2I+MgZS+MhSMXBCWRX/GEnviaXSePxsvhky10ODlYicoJACUTe5A3PYA/nHA1duRrmW9zbItqVVmmr6w1ETMj3MlgTAAgZCHGkgwB70rHU38riTrtL6k6FN9iPNYaCINIPBM+3bQMl7bJYF94duSZKJ6QIOxLJvUgb5iPKwn3zmOH4v4jLol/d5kIr5jdg6wyNaWFfJch2GZyeDDshDZcN+M3aY1oqPLJEwRIoksXfU27D2SVBbHosCNw83G/wJ78SqqAJNXQ5tDjZXI+j9CFFJdN5culN5jQL9Ti1VdfjV27diEQCGDlypWYMWNGfzQ7KFF2CJEnxITmGyfU2jbx0SK7LIghx3QYhmy2ghXSJPNCRNc3Sgmm9sHwBTg7+A+EKQfPzkrF/OPbcePj1/bISYTdSQHOD96BFhTAbWB6wgPt8SSI7DmgMDn87Y0+o9kw3wig5GkxQs2ohHmkYdvEQSubBAcZcf5fDOtcEjnY8H7yvglVBSYlYSiFKBzTh+oZrRh1enOccZZlRWuWLGhmACTR8kTk3Gj3Ev0bHg3VnV/tx8RL6lQ5PHjIS0XWri5JM+MQMhLa44hgbLBAMqIkIRKTlhuFNueFltkVNb4WG7zGuYQ6js3H70/7DbqGJG+2aiVBISmJnRp4lLp/AWzl5ohTWlA4ayr+duyVumhIQ596GBef/XeV/1bR2D5UTO5KmaZAi1ZXGX4S/CPzd6vNCiIwbFgrur05eGPcTLw1ZgbaT0zOr5Z8dlYyztg0nRW8R32d+HyVBS2JDIFJDLqzJJx5/j2485ifQIKI84J34LHwOaZ1FgvmpuQ8RO/IWS2ozVWEMtrEuJ9IU/GD4J/j310eJTVB/nBzv7NQlhfzRh4T/y7aYHJi+5E3LwJPThiyh52oMpKEwNDU5NelmFilY90MPa4NBaP6UDjGnIHSMjmCAKwaOxGryicAsGZCyYMthQoD0pRViGtm/h7DT26J7yfhaGRXXnM1HzKo1/9+wSEp6Gn/on9F4vs1UmOu5smJYNgJrag+UXFYfyfC9k0aI9ZDkgffK/pN8FpcHfydpXtIwkYhWgV0ynr15wfHHodfnXwjtg5LSAyuDf0WH0em4vzA7QCANpmtZUgnaDzOJqkaT4TP5rrfKsNqpbwgGofZ7AY9rPBHZx2Ln5/6R5xz3t3wZyU2NsO2CdMlua7euF8ecrPU17leNpeExtacwHEwRjS5CD6IHIt3o2tMEJTwm+5MCaKQOMQfCl9gWq8ZzA6Pq2eOAQB8NHIa2nNyUTKxW+W0ypstnYQAoIhCPGmld+S4rSsdbVinKuypIOAv036OIdPa4lLKVFi5a/c0l1dGxZQOiEUyhj/7DO7M+xPuDl1GvffjyFScE74Lm7NH4GtpQtJ96WumH+Y0ZBSEMeSYdmw+YYShZoDFOGWXBVH1i3PR69WvRdHtRp+HHfr7l8Hfx2rn7q8ZluWcisVSItre8Jkt6Cwqxx+PT96UPOTy4MlDz0OwnH98zYjXkok96C3I1P8gyAjLIpPpBIA18lhLu29MCEKFxlGIZ5/mkaDzEL1ZxSH84tQ/4fxz78LfjlBbR1x+9HDsLZxq6stLb1v9DAGXPcGPCBmCAIw9twldF7KFUhFiw8sYZy3i3NPhs2z1LRVwV8sYckwHVxJ2mTKFSEY2WfNrLf5+zBV4a8wM/Gn6r7GjcChyoqZwj4XPie9X5LlnB2k0Wk4bBh8FPciRiiMmb2gg7tTXLudhfmQys2yqF4JVnBf4O1rkhDTu1fBMvC8dp5Lofi2Np92qkmiSG3jsUHgqot+sIqIbe/IrVQfJTrkKV4V+jzXyWADA/eGL0SXzmfElg2uDv8E5gTvi32lhzwPw4FkOUwTADpNjDdS8C+c9hGWRg/Bw+Hz9bwD8WZnYl1uGiOhSh7g26GtWmYVgC2bRvjg0A4m5Y30tXBv6LV4On6K77ibM1VpRgH1yia6MFZgRaIdXFwIAerzZeOz0C1F+hIlkl9MHpljQa+90Y+5KEH99niw0y4XsZjVjvLJiIgpG+Infkz8yaHta8bg+vHnyTOQceyy6XEV4NHIe973JwGoEpoJRPpw75Mv4dxpzG/Nvas/ORQ9DuKAFbW8h0SJzaDEtostVqPqeUxnEh398GGvLlH3WqrkaDal8X6Ib2H643lxGEO05VLMgQcDZ4grqb1qz61h5M/Ds/VbMl4IuDz6V1YFBjh1dgi/+cDJejJzKXY+2fw8ddiFWlY3DBzbCBgtQM3O6PDFEW6SW2Mhy7SuKIOMdabrlvqUK86QplKvq54wJmWimeiQdlGpztdasAjx56Hmoz1GbX+dnuuJzlHedSBAwtFC/d5ntU4MRDpPDibhPTooP2SXSIYYb4EAzOWvlMaplEetPF3IwJ3wRHghfhA6ZbjYSc0RdWzJarcmJjmUfMnFr6Meqe+JSe6JV7Rh0IRc/C97I/Qz3hL7PXZbEx9LRWC8nJN+09R2Al/sdWT2GrTJFWSUhvPyDP2Psws8SF4/8EX4Q+gu6GMlgyTYmi9u42tYGuNgk0ROEbZKGQzLhckKyua18QpOTYIjWSSNVZWI5FIooWaNDFEbKhUT+DECvXbAKATIaZLXPEOvJucwUOCYLiwjVBvYQ3Orn3yqz7arNTBqTJSWfD89iPv+XHCawqTDfzSHyrdhJyEgSCjQJfVZJCKPPasSDp1yCW0I/1f2+ePZM3TXBRDSc6pDnr4dnYGGe3szqnMOqcMERij+NB8nn5bHyvl6PnGheiAJBkCGmMMS5DAHDxWbqb0GKtohnPaeayUk1Yvvgh6OPx83H/woBN78GjoRKx2XwTtT+fuyx+bmFc74/EIELfw/9n2GZESe3oOzQLlQd3UG5n9Tk9M/79ohCvF1enxwZAiopWtP9j8VxmBwLUL/etyN0x0SrWCAdabgB8koC0wtSwp/AnPD3cH/4e8y7PNkS/n3uZfjT9F8ztQTaZ6ePhfpatteFo0bxS967OIM3aEH2JT/TTdVKBGR9kksaVkiT0mquFkNt9QR4qtRhbScPL2SWL8hKHDbl6CDa5oPn3AtwVvAf+G3wGt1v3w/+VTVmVxw3UleGxoBoERsHgbAXXCWNU5UZNr0NI2c1o2icPn8TbRyHCUroTo+gMDvJEhgiZFwUuA1LCR+jO0I/VD6ccCNEgkPmYYrjiQ9NaI0whTnTHq6Cm9/p2m/G5CQZZa0decx5zScl5NM2GiGPCHASy/tlBeT7YzEfGfkRZHpC2EvxJxxRkoMmjTZNMHkWV9TMJFVExuzwrxEW9GHl3S4Bcy5TLAu2y8mFV//+UcMsCemejOjNfrXRQKuL9Xs5SxOgFwLw7WpGWjPanOPT5JgjWaI3GSl7KoQHAmRuIjpCMPUbIiMBAB9F9GkTupCDFyma+A8pZVnQrjVe/F/wJup1M222J0dC6cE91ESi6TRXY4H07/2V6wOue3zIwJmHVOrr2g+5HIfJsYjYtF0tjWWWaY9qNh7jikRkbNObCkdfI9wXYjMpMaj7p++rkVlDyOOBLIgac7UEtAudx0RCFARLkc54N/A/h65UfSf7LDKCDvQhk6v+y4M3W/OxgT2pOe2eIQVsRvmE8fpEgID62d+KTMdbEbWJQO+FOdh09V+QPfuP0U1f/2zdyEZYSvTohtP0Zo1881up20eYbmsJAtGFeMQw/d36UTlCrAEAXOz6AgDgFpJLHBeCC3Uoxe3hH8WvrZLHY7z/OeCUW1SjwzMP8o/04+NpFwGnGM1zmap50QUXMWFySILBD+OEb8kSQyOFBiZDGYuaqG2hmSA6U0EYCALwwBmXYO5Rx6DIRlJjsv9G82aE0Mj87afBP6j7ZLKdbU9RPidzJMb332F7GvAYbj//EGS4+c8vck2POLUZ86unoPKoTlWZioIEkzNv+FQUT+hJLtmoBj8J/hFtYAdLoDG1Ru85Bp51IyUpQEjmbjvrenlEHyCE1HLymjvuDpbjjMA/8dvQtdTfafvF3eHLOXtp3+yStea0e5CVsbNrrtYs2w/gIRDtXu5eyHVPK6M9x1ztAEZMIh3bh4yWzdfSBEzwP4t/ci7EVEVQs4OHIheYllElsaQyOWzEftMHHmDXZwYBwPbm1IeHNNMq0N55CC5OSZ51q3E7Y7Noi97MYsqIIkpJBbUjLmC0ncDrkRP1tugeAa1HTIMrU1Fps8YgIiWIgkyPfnyNnIXjfYl2pjeYvPkMCzHNjh08H56FXbKiPdsiD8dfQj/Fz4M3AEiYf5FnQ4TDNE7wAsfc/Hu4co1nDc8B7i7Vh8gmnZPfJ4KfmL2PZI2CznctY84VgXEckf5S3SnyxevMzsWm4SNtEcg75ISm1EhyffGUYXjwMrq/pVZjJggiTmQIHACgBQqjl+PtvyO7CynIi2EzilZ2aQj3TrmcEg00MXfuP/JSVExObUqEKTMvMPz9x655umsXuJaZ1tvGQaQmq01Ohv60Izz4XFLnF6NFe6RBW2J0Vz02y8MRhhsTK/Pwl6iJ53XBq6N9S3bO29u1ZAiIUBjPZAQt5N5vxUTaSgh0LUTIA2oKOdD47j65RTR2KbbbseViRIDKEBAwkYiSGEi/G6tOk7Ttwmhji/1GtsNieHghCIn3kUrYZbj4358VTY7xxmzFUX7GeHYemJCHbpohQ8CJgfvws+CNWC4drDtoEr5TClhjQChyqCG4DxZ3MvsWryPWNhGRh+tdefQEsVEuDbv4a1jtd/FiZBbmaxxUj4zm+MnPdHPPF1EwNmISwMfkZB1xBEqvvhqPTvth/BoZPcprwfdCO+73hy7mvjcG5vMzLpMHPG/eMNM+JOGDtYGICGjkK5PtdSHDw9BaaR9WEJGbYU7IpFuSuqPZXu4hGpSuWuvv3MhUw98LXOb7RTKYNtY4Z9bB4u745wkV/FE+WZLx2aFfxj/bIeb/GPoFAODW0I9NTR6NYKdt2s7zt/BPAACPhOmBQ5T71P2sz1Yn934xMgsT/c/EAwzQ+maFbcn1soWXPzYIoS4z206CyRkAczUR4bQHPRrMcJgcbiiTJHakmTE5dvHf8Bm277UHq0yO1WeTdfeNJNT7dha6IFhTQG+W+BJYkVKWJzVhKi+cPJQRKkzmPiBStXH0yRm4yP0Id/kxZbm4+Eh6WFGBEGWrTccE7JYr8Zl0JKaMKDL1o2CNwdiyXBw9qhhnHVpJJdAmCcZ5doDEuImEVJjWn+2SJgGhqDflqhboDsXpwthyxXS1KMeLb2+Zha9uPpU5Vp9Ejop/lqOW1EaagofD53MxOYIgoOy3v8HS0QmztLvDSojmZ8OnoVETMEELMvs7Oe5rpNFcPlVaMG3aLapV1krG4bCN+8C/l4VlER9EjqX+ZvR+BIgQGL/r9z2Bix9IZRSxRMuJOpu61T5KIdm+ubRgw1CI5thPoqxvJdrnPIWfzqL7SySLmBk0y9ScHI/rKea3LLDOuXpP4mwyk7ZfGbwB0wNzkE0Q7a9GTsJk/2N4NnJGXJNjxzyrMp8SmtsE2vUjAHgtchKO8j+Kf4UvtW0mBgB+whmRNnZW6BCvi122RntmqCBwtb1V5g/ZbddcrUEuNi/EgChLAx7AaiDhMDlpQGxpGzl8kzjL9VX88+3hHxuUVPJEHON/CCP9L9vsHT9i0aKMfGgAvk2V3BgyhYQWRkvwxRzhjTYxQeCXPH0amYJv5IlcZSUVATdG9dsfz6DXYSVpJ61crcyWHLLq7UMGVvyFL2w1oBC5937/cOpvZPQz0gyHxGHDCtgmRgbmmwtvnAlRFPDar6bhkf/Th978IHKspbkjCsZSsPODf6f3kWjDnWSeAKsgw3AW5XiR6XEx3+tvQr+Jf6ZFGYzh/tDFmOp/GPOkqczxG/boIxCzszH0gQfi10gec540FUf4H8et4Z/gS3ki7gj9HzMx5KeEVopsLcaGWQV7LrHX0Yr80yELIp4Pz4pfeyEyC29E7CWWtnLoN6II14Z+S/3NMOqZAAg6wYhe6KOUNe5PcY5iGVBFCetqFzwjkEyiXEGwHnJcOy49sp74jowZj4ac5EK+szCxStG43B+mayjnSglNk8eAeNaCtebPPSyx55oRvQukKaiVy5GlMfttj/oQHVRl329DFkS8c83x+Pclh8PFmfSatvOIQsy0UohHy1srjaKU5Ad9rVog2s3yGLBuA18OpCUSf4JMu9HVWP5KJI4aUYSrZo7RXRchWdbU8ZhX7i9wmBxuKJNd1vynQYaAh39wJH54zIiU90KGgEbY5+oBJYEliZs0DvcxvBONIGemyeHxySHvI6WR2g0sK2reYcjkgF8roo3Y0i2ziQRaLh9ASeSoEKd0JMPkGElKjRk9/W+9snEorsuPNtZosQhmWdZvyK9FZiI/yx2PGkbr66hStk3/M+HTo4QjP5Mjm2hyepGFjRK55pS6U5HvI5VgEdi6IAIyve8SBDRDEUCwZkjeSSdh/NdfIf/005j96EAeYkZvT0XOViWGVHeDbEUgPsm2JIQsYi6mVdRObRkCjr3+Naz9yRbUISEUCMONG0P2ElfyEjAAENasUfKNGId2phgQRZ+Rqslh4Yx/Yu7vTsADlx2BYefdYtJb60iXT6iVfToGbflZgXs0a9pK+7LmO99dAKjm5nukMpXDuxXzMOY4yORZyEeOCQLdVG6kwX5LIuYvqK30iOpCfG8Kv1ZCr8mRdb6cFwZuw2VB4znbmKOmZ7xurWk0xWTMZGKdOikR1dAVaEcdw/fUCDRzNfq+wT8P7GhyluXOQi0lSqMWFfmZapPXfCVwwhfuY7nbujb4G7wTOQ7PRviFqIMdDpNjETybtgxlIwpL9AMw5vT7j5B5YAIWgfbUj4+iXifBStKpXZT/i5xsWI85k2Puk6OtMRmIAj+BooURUcKKAHfu4UYq7UTOFTPQnjrCMPcxIhBYUY9qZbbjMgAcPqwQVwV/p+4T0QjJfGrDR5JE2d9CP8HrkRNx0ZHD4le1h4HW3E+L2LzgeYs0TY4M4KfB2XggfCE2SiPweFgJP/vT4Gzd/Wa5X04/OPV+OjGMK9fnJ+I9cGSYj4/h2nOlJjIjy5+O9t0MiyKHq9YuKeWVGdqM2DO2WY/2zISV/UMbAZCMGEbWcq8mUqXCPmr2m0mKGdQ1J6lDoMPI/+rYq1Cen4nzjxgKsWQUjvI/atpnluCKhnQKAWSLJojke5k2ugT1KMGrkZnxa5sn22fyeMIbs+bz+5FjMSP4gOkeywJrvsnEBmzFfOnFnx9jqx8A3T+I7B/vfmi+hgR8K49DH9TauNh9tx1zBRYOm4znJ6lN9Of+7gTV94hFc7VbQlfgyulqU9Ydk35F76HBIygaEHUBnqAxRjDaS1ng3alk7Tq+ejnwy0Vwj5/FHfr/A2kargtda8mnfLDDYXJ4Icck1goOE3awi0anZShCPzy+lCZhnP95PBHhCTGtxlfSRGy780ycepB6I1qvSY4IAD0MrYU+6ZqgS65IwmyB8DA5ZAmVJsfGpmHFoVW7GWYLdErp6fCZVFXym1dNw6SoGQBNeiQA6OSMQlQi6CMBGZmDsDbyHRLdrIwHezWH9ITKhESQJOYe/SFhoiSrye110igAAjwukdDkqPFEWJ9okAZL5moqTY6IhdJk3B++BGcF78JdYSVBG03LuVYejfci0/CwgTOsXTwYvoD52y9OGIXfz9ILGvhMeATIMp0wIyOg9Y+WKvHuyTmiMOLWmBw/vFg4OyFUIfMdmTnVb2vsttSWEfjiQCmI7Qsx06llwmRVTTG8LamJM1kQAJdmfUeTLF52tEY7wckMCADCJvNngzQCOwx9DYCzDk0IMdpktgN9jWxcjxGU98k3P2KO6uR8+t8vj41eSyDs4Xf21/WHowwtOMp6aSR+RzMXsmIxxSzMtmog8UNNzpayPHvJOgFgxhBKoBFi/v3z4sNw+/kH68twwMpusKLqEPzrqP+DX5N4dHSZWjBk1fn/pcip0L9G8/HXwoMIcgW/6loQ7qQ0n7KKyeFb8yHR5rvOLACGTMYZhwxBNSO57XcBDpPDDWVyxpLzGufVUKRyx41h2w3zhATcoFHT/zX0E2wY+n14XPwHIol/hb6Pif5nUEeJzEVfcHoCNtWmDTrJcCxUt+FddIfAZCBC0misFEwZYWwaGPNLCFES62lxvLhBd83IFCMdyUO1ZQ4ZWoBnrpiKeb+fgYfDF2CbNJRLwxiHQK/XjIS0QpzHSwr692N8Y8Kz5beh3+CeqLO9vi984/xA+ELV9z1SGe4LX8Isf/PZByGHEjGLN3kgy9srBLomwQ5ixG51sVogcjbhK6D2yUvsE1b80WKIQIBIJAIk7zcyVwNsm9ZTYWX/iO3VMwP344fBm1A1jTRZIurUCIMEQUC4ZBK9Uh1TI3BFTuONrmb2fPdecgQOGapEVnw9ciI2SdW4M/QDlWYBAK4J/Q6LM7RCMT4IHP2IoZHi/xkDOedyumowdWQxKvIzDM9Xen/MJ1Cmx4V/XawOjbxDrqKej1ZmPtM5nRhvo7X0tTSBdgsVQ038tn45fZT+IjGv8jM9+PG0kcaNQP+uBMiqaJqpglV/EgkiZZ0Ya4lpECn+m0ukQ5ISK5H38mruPir5aRItAiGGRZEVHDm8EAtvnJl0PQMBh8lJA8qFdgiCXiIRg3aRvBymm4ttk4eqluarkZPYifQA/DL4e9U17QKWIKqilmh/Y/VTa6520ZH8ielid6qIGQPpVWIDZ2/4omDFD4YPp7u+Ng1tHaHs4LFyksCR74WzL7HSrPLJEbb6u0+aWI7xFXloQQFmBe/RaRiN+s3yUTX2VaDPCxbiRK7KXC11TK7dqLy75ErYeRu8hJ8sA4KgH/2NssIYP/yDIyFSfv825wTdNQCYc6migfj9qQnt0o+OHYlnrpiK965JJHs97/AhqvwuZH9JLQJvjigSEbggMJgc1ovYm6kE/UglAXXB5GH8PjlRprIFBVgiHYprTh6Lo0cpwg9yL6Oa8jInl+Y65yRklVqJRGJGHi1VlteFa04aixtPG49Tjz4MZwbvxpORc3RjXCuXYdv0OVx90/XVwj5N3KX6pnWmL2r+GpkeF5b+8WS8ZNFki1ew8v2p1ThlYsIHItm9pkaq0uWUSdRNfma3Y6UP+ZnWg0XYCSCifVcLpSNU343yPpnhgcsSddGSpLLeZEBWzmHtucQyhfUYmJrTTBM/kaYmNR8kiBhamIWVf2FH2SRxYeA2+DL4mHkW8xtmWBRZwcFDCgx9bAczHCaHG1qtBnvi5MEHK8RPL+jhG60upXmSOseAdlM3khxozZhIaDUcx47il6DRDhbyufQbhkIcr4z6E9Gi6yiHJ2/7fJAhqMaHtpFJlF0kdqX3ILqWQNsGzzWz3047iP6uZBhH2DEbt9Fl9E1M+9ykJjBGxGnfs9aPQdcXihkjCwlmm+4zlQzejNAZgnSC53CTIUCS1eTq2YE7cV3waiwziebjd9Hf4/Rxpdh255m44riR8Wtul4CTJpajKCehiTzv8CGqCEssE4tauczygR+GCwJRdwZC8c8uUT1nZgX+hXtD38PbhVdE+5E6LmfGhHLTORqDtpzbJWLaaGUNCAYngiAIbN6Fpsnh6g0dWiKOZ45lely49uRxqj2jnGIGZTc3j2DBd5ImUItdVz1LzJLCRZPWm/THQtk7LkysMRYjrw23zcIbkRPZrasCD3AyuibFDo5q6CzBRlZc7bt6PqIOcpIMUXz+EQlBKo1uYc2rWBREXk3OL44zCrSgvmeNNBqAgBnjjHMpGSH2tktyM0zX6PuRY/GtPDZuEm4GX4jOsIUj9jQ5pBVCmtNzpRUOk8MNvekWia2SelGmYlJoCUcjCV1s0TfKhfFrWklEbBNtoTgePk7xoZApzyxDQEWBmvHYZhAnflx5Dh7+wZFMTQ7tUAMUqekU/6M4KqB3slXyL6R21ckaEzgZAkZrNmmapESGgFW3zELxBf/E1UF6mFmzdtmg/xZy0zWEgIDDq40POKP2LppM19DFnvucwB34QfDPaECCyWFpcppRaNgPK+ZqscOAPLi4TBhk8839/cg022vV7hzkTcCreEIlxmmDPCqeIE8pwxhDg6H1uEQmvfXhb6fj35ccjlMmqSP5sJicW0NXWNbkhGWXipwng3bceLo6TPs2eRj+E7kIAVHZb1JpruYSXdgpV5oXBNAl8yUg1c6HUHYFm3XRTjojhkhzG80H0CUK8eiKikmNhfdCNDxzgj6KUzI7bXeALyhLDPQ9NjVg5SyioaogYfLFmuONnYq/RrNJuN3YGr6LYgYsq8rZ0+RUF2fhjgsSTNmhQxP92SvpBWK0eWZnjLX3sILoaPFhhE8D98FvpuPsw6q48+TUSFX4VFICMvH65Jx/Ir82MJ6rhkxlENUyZRskHCUhI7HOjYTO26Sh+E3otzBafR9rEucu2kL3uxlfye/H9uezlD34hlnjVRY7vGHFByMcJocX0RUdW3DaV/4AEVff6sHP2sBEDVsjQWAe9LE6SKmj1qk9Jgn/Rp6Ae0LfV0Xa8htE09Caqx01ogiP/yjhmH5f+Hu02wAAfzh9Is4+rCqe8V0LHbFKPF8rCqjmdaJgweQHwOLZM83LyYKqL1leD56+Qr2J0DQ5QDSHhTsjvsGy+6Lv85BC60nY6rInUK/LBvMjBqNxYwl8YlWul0frtAixg3kXJ8GYuE//iYVY+1kZHt01szuHFxsTqKyD5pbQFRy122VyOLdd2Tj5I/tdm/hDMbp98JACfG/KMJ0UlJwzo8oTBFQLCizby4chqggQcgxZ5r0xFGWnLuLPiJJs7JUr8Kvgdbg0YByx62ZKpLJE4sUEtPOhu+pYfk2OIOLoUcV4JHwe9khl8QicutsgUE2L9olDcXrw/9s77zApiiYO/2bj7eWcA3dkOXLOOWckR8GESFaiIkEQTBj5UARRyShBEZAgQZAoQTKC5JzvjnBpd74/9nZ2Qk/YvXz2+zw87M309PTO9nRXVVdVf4C3Mwbik8yuLs1BaiVJ32F4uvq+HYDr74jE6MWK477c/17uimlyrlyOt2yVJJEPGWJmNt5LHB2k3P/lmN29EvrWcsZ28pUl8r52BHJgJUdSJe/0NM8J+MVaGyPSh+BjmeygAGDmpY9OjPJD2/LCeCh/T8c+elL4WTTFqx8mI/n76Sx+eMRqW3H6NrM1AKABzw3P8XzrltC2usOq/DaAXVlrlz5Dto7/ZXZA67SZeD1jhGwZPsVVxlU+rzQojgMTm2JY05IwG/R4o3kpxAZ64vXGJTTXUdCgSo5GPIxZS3fc5KYgfKi4HtwQbQCptD4jrjc7OGtjMMfaCRttNXnntFmRbGCgYxi0LOcUap9AIdDR254Fjq8gKMXkBHqpCzKuuEEAdtcGNWwQKjmDG5WQLLdbiVKl0JVPjo+7VSSe9/Egx/LUig+QV2izYdpUem5ySpyYeiWC8dPg2gCcE9m/rPY4Ldex36R0mFPA1vT7szZsHtVAUcm1gSG+rYNfGUYoTV51JFFfwaVBa+IB+x2VxhkyVz1Kypxx1En+LKZt+QhJqcpx7rtqAMBxNkGgRAks2Trl97RGPNlQ4g6OuKBNthrYz5KTAyzNbIxiqUsEe/M4aJeVmIGf/U4aiK20OiNdyelZPRYfZPZEg/RPcZeVWZGVqW++xwBcY0Ow2NocaTDBoDGtvRjS6iDplodsyn3MASmeQrG86G6VYvzhCadb2NXSL7hUHx93MxHKDYuO8VK767S0ZJCXfPzMM9Y5FyrdQ2nY1m4MzHklx9/ibP87Y8djeMYw/GyrR0zp/2rDBBQL8sRH3SoKjlttwr24nCn5le8tVnKqyRhZAeAyqy1l9jOY8P7z5eF97xh3zB2DtnMDbfK1F9lwQQpnBk7lzn4dcJqNc9nApJVQX6fhdVjTkvhjbGMEe7ufzS+/oUqOi2hRRxQHvXJdNG+0dJfnemavV10dUhrIlV4KcrwICW0v9VeZ7TA9ow8QY18NyZRJFS2+b4eK0vTIn/aohLfaOAWR7KTP/CiDnA2LBYMSPCGaJJ34WZQDOpUGfftytvYB0WLUE+uzsYysMqI22aq5+YkzKzmPAxWjnULX4pdqolqxrMBrN/Vu17KrZblNCoRjbUqOh1GPuCB5S53cOxEVoO6ipPQ+fT+whuw57e5qrCBmRVJG9Hu1SpuFaRn98IdfR8W6tcYyfNKjEla8UkvwS4kTbGiNL3KwytpA5Eri/MMhmMiZiEqE+uDXYfVwYGJT1Xuqo/4M2ur3y5YrEeqDA281FRlQhGXtMTly7mrS5+Z0CZF/T0nV9U6fiLsZQkNTKPOIfF+VOolp8gk31SpgaTVGHbMVJ5b3tRgRyjzk/k71ct+Y4qqS48h8uc5Wm3je8azU3uezCu7cjRs4kw6J9xTirzIb9fL3UIp90fr849P/kRz7IbO54jVqT/P5qlEI8THj9cbFVe/fpXI0doxpjJKiTU5tLCvcv4513Jv0vXiGVAZYZbW79j4t3QV6QoIWwLHnnjbig73Ro3oscHIN746u7gPF+yxjAMhpV/z/OlTJ0UyWoMX9xSKJ56stXM1QmNy6LVTdaOnF9DfwuEQHfGrtKl31EM1C32Xag/0+yuyh+g3EL/MXvSrLnrMfYwT/O8ppsfhvsVaFpaFzOfU241ziTRVYKYR1eRilvq2NS4fi5QYJWPRiDdQpHoTPelbSPBBkilJ1/8NGIyF1MayiAYYFUDbS39kuwu/XrWqM5Jg4XkkJucQDW6xVJcd1OrKgY1NUdNXd1finTxuFeyHIZ69i8WZLsouc1qBIMVEBlqyandePyXiFWJZzEeUrOVosxLyH8e0L1YhZAa2sTIwK0X1Du5CkU/Bh1joxsizgzzzRfM8zbCy+tbYGq1PO9Kf1FzMZdKiZECR41jbRc9GisD0q7XRPyYQwJkfQLpmVnCGNnK4SiVF+Akuj22hwz1FL8x/q4wHF+EJGJ/903A3mJxyzsnpcf/RMcExp/y0xPrxsXOGEZ0tqqtLvPrVDOSwYUE21HGBfreiXPh5HWXl3mJyyWLvqUjsgfRy6pE3BH7aKxPMst5JD/o5t02ZgbMbL+N1WRfYeJt9g4I2zwPgrim6iCwZIjSZ7xjfBllENpEa/8k73cTVlwEFw5i3JsXcz+8m2GwC6VpPOh3yiAzxxYGJTjBHF2rmCTeSuqHnVjAEmZryEF9LHIqnFx7LlTAYdzFXUkwYBwKD68fYPvAQpjt9Iq3dFTvRl/vNYb5U3plHsUCVHI04Lgh0GwLAMp0vLHd6qSwb02dLFf7dVxd1WXyFZEmAqrXVK5gCUT52P3bbyxBIsgF+9PHFHrxe8YH1rxaJNeeeqidLLlwEGF4wGsLC/YFqD7EbzNkLkh3uIY3z4kAQgh+xTv2QIlr5cC3FBXpqXibfaqggs3gzs33WuVbgx5CG2tFDwIQhBJoP0mDsDsJiXM0YL4qMAu3UugOC6Z4/LyrrTa3uQ0n6+4P5qGaj47d2bOE1wjuyOZ+/7crEt7vbzBiWCstrjRG7zWq7NvN9Er7hPleNCZ69rUiYMs7tXkhSRDf7UIAS76/6ixYVHk8Iqc15N8cxOUhSbKLhYy3toNTtdRWxgwOiA7Va74PiLrQ6vYdJ9cmonBKFxGWkwfLbR8Ptqyb7G//bSZ8HgaTph40VA9UfYZ3uOeJy8qiI95krf5F/tUM4XDqxOPK90TwcD6hRD07J2FyC1Vlxiw7CLl16ZVJ5/L1e67jZrJQDARZu9LYdZ6ca8StyFv+w1X/auzLVVTsk5ycZjpbUxVFvtEw54+EmMH4JAfsLvHulvkax8AADMTo8E4rxOGDj0rLSfZsCA9zOcCsBXouRE5aP8pXWLcDcznwOrTThGsxpdBHUMgzSYsMNWCTAo7xtUtsObmtrCMFm/B+P8XXR6uyHkjRbKfeuwrQT2WJ/DFTaUk3FI+/C4ysiMoZiV0RNt0t7Ldl1FFarkaMbeMfndkp9KVzwQ50R2NZYFbjoyeii0KwWevL+Er//Hgf6YEBqMprFReMo6LT7TO5UXpYmV5/uQDHSMjsQPvj6omRCkeeASZMPSuMkFSUg3ECy8Wldy5FbNxAHdocGhYHmDl9bvqKSwiZEXPBiJ1djAAHP6SFd4WOicc1RYOaSX7sA7py4Y87GJLYcyvxHLAnFBXvigawXM7y9MruDySk6sXahlqg4AACy0tnLeHwy6pE2R3j/rf4YnmNbXneA+f9CVvAeFluxqNtit7cszG4nO5J7LgLa9gdRXTOUUWrXas5Os+H5ARTxgvXE0y72ohiid/BGb0yK/LLMxUGc4nkTVldx9YMZYlE79TmAcIn3d7LimKqJXX+nQouToOtuzP26OeE0ak6Nj4G2WuY+KkjXP2g6X67wHDD8qvIxQVnNweRZ3fYUKFOkZV4lxKqakyUzzaqRKOeEzzsQZ7yd4qBMKte5u/HwLQaiU+jVapH8IACgXqZwFzRXaVYiEd1aKXX77lILYdVAej8TjgtbNIpXrFPKp7xjYvKUrWnJzE//oVqtwRSq7CgwfuffcZiP//qQxNNCTnHiAIXjAAOCyEUKnxzFbvGobue+b8ZQ7Zjbo8c/01igb4Qv0XEq87jobhC7p09A7421omVfkDM7LMxshlTViEc+NMAMGfGXtgFNsMdV6/6tQJcdNSOmd+eey+/4zABa+UB1PdT7Y3HAtGqbNdqtd3/s5B/Z1fKupCDlXKh+zAeuzXBjmBPgh+sF+Te0QCwgW3uqPkuhGSlVI8mLJrt+qWMkxGhhoD8mWQ/4ae3+Q/+aZhFdRzqqpJPuSVn8cxAR6Cv2bRe2VE6r1Wf7g3avFoNlzwiBNl/v5gHV294xou7K0x+p0mbNBR3QRIm0G6qBkqDe6V4vB35NbSM5pWVuzZbmWSjIfMTqgwxeS8va9ErKK8OoP9DKhRFZQbBkXUnYqUZ4XB0VCfiVHuV7+b+bq75epM6NG2v/QOX0qAMDbw9nfZmd0xVeZzo1k11jrAS3elYxJdgHEbmkVGAkIjRnVXN36fo11IxmCTX0lMIPVsGJdvisw4RqSqw0lrkrLJ1JRfvAZMOBh2T5AoFD4Iqf/JYyZBIF6u7UiJmcMwNbKXwqO14wPxBvNS2FuH54QyxA/criS3VIJ/vtuCt6GNRG30D9COMYIhD4VxX9aR6EL7iP4cPdY+3pd0iVuI/QPsEPab87hFq6WDEL8Oy63NnbegTf2+arEhvIRC8y39RFg4qQxRg+N5NVSufTxWa2SlHfswfVy/XjJORILB1bHqtdqy74nbSpE4Kwtltce4f98+HVIxzjpFXLbWsjB7e+V/th5UKdzengUJ8cKHhEl6XBmZiTfUyILMPYnPT7zFSSmLcBtqBm+3eM8G5kr9eY3VMnRSpaLiePF0IEVDQDOz65mttlktQt8/Hz7DGPfif7Mu63QonFjXM7yJ3bFQUb8EpEEyHYVIrKEIumAVSLUB/vfEr64YY9Pqd53vbUG/maFwYb89K9KLl6klLnklRz3eMjaBVHxngkMIPC11ZpSU2s7GpUOxcrMxpLjxwLtKxmkPQZIwosVOoky8mvWvgNzMzsopnqslRCIYU2cA644rkW8kDO+dRkUC/LEyKbymZRctubpDXb3DMc9Re+QUmwYf+YSC1kGN/P4O6ylW22iVTOGAar0Fx4SXev4u1ZCIBa/WBPfD6qBVxsmSFKPi5F8x1Kt8GL6G4JDgV5mRPhZBCsdknpYYJWtIQBgC8/KqiWboBPXnlvN4sHIhIGz0POFr9W2+kjjjTGO3038q8p1mQAvqTVXLqia7zL7q5UcGA4AKTIukDB5oUWWwh7mS7Yi34dTyVTs5mYfMCC8rzqdvMIpM77wN+PU2qW1GnyS4IXvrS2RahIKSQzDYFjTkmhdXpr0RQ4bGMwJHIet1srYTIgpdJZT7otnbM64DqOvPWvVJZMRw9NfB2Dv4zZe0hq197x/7WL4sndl4jmjS++FOo5xmO9+utVaFX9Yy+PzzE7cMcdv+sTjEVZ5e9nfhkYTgecXCOoT/47rZPr1XMIKvwCFBC3etmR4mqRyAOmpfvB8BdH4LBa+pVdNavccfh1WD+NbkzMWiikX4YuqcfJCu7fZgP1sWQxPfx0rKi9G9ayEN2qxRpJuQlCOhd43oguaSNPKM6R3ll+tzDst779BRvycRzZ1GnrEMcY5xUlbHPplvJ0rdec3VMnRiNOabP9bLCTzX7qKugvcS8NPAynHX2wZtEh7H415qzWO68UCi5o7kqui3he9KuPMu61zbKO9lZkN8XrGSElL+PU3LROKca3K4MV6UmsPSWgmzWuuZjV5mxmOzzM74QBrD4Ik7j+iEpNDQquA4WHUo2/H1pLjl33swinJMkpybiApAsMyhqFO6ufYaKupmAGOYRh0qeLM9CMODbGKtJzBDYtjx5jGORPoLQP/+VmzdoaSK8MPkBY/L3dXTpPhBQb2oH1iha/t4Q4NbkjOErT8ldp4LtIXUf4WTGhdFlH+yj7gku/YewV+FylZ+izF3qGUi0kI8UKb8hGYYn0RL6ePxoiMoRjXqgyiAyyq/uGuwm9vpJ8Fu8Y6lXUdb3xiWeF7yY9f5KMTCGFOiEKEDAfeaqZp/6uTcm4cflH4qm9VHJnUHFtHNyQW4W/e6K9iPff2MEjd1aCQgEYlOQQAbmWQj9yGxGL+VbDKahnr1d6nOX2rI7lkZ7yUMQYpClsIKN1qYWZLzMzsQzz3i8256sJ325Jb3eQnkqlfkrAfTS5AyvSVCT36Z0zA7Mzu+KpvVYxpWRo14u2C+Z64PZgSEoStnhag0ThBggAAkofO/96VYwPg72lEhWg/lHZhpVjs8ibnAkcyL3WvHoMyEfz4HjkzjxO9jkFilJ/2zSM1FvvFVhe3vctgVLNSmNimjLpruCBJDaC2kiOB9H46xqd43njBWqXnAdxiA1TvI7eSw/+NBtYthtggtUyfVjCGZFgISZu08m5mP9xFgHrBQghVcjRj76gOwVO8kiPuyOWydh2+zWrrOP+wMXgMT8QHeyHc18OtTSLtrWSJn2XLMwxMBh1eqk8W4Fz139dyT18PI15rVByT2j0H8SjH6IQv6sC6xYiCgqtK2WsjJsKz5WTuftLcCazAHSon/Y0dZJikE7TFpMu6O0HJsZEFfvFKDgsdcS8PIvzVEFasQOeQpusCNsE7pANp1mPB4Ndh9eBp4is5wrZ7mgzoUiWKt7cLmYdewn6eKeeS5OgLYeWAaHsGG1PlXkKh3M31RG2KsXKZ30c3hMWkRxpjwhZbNTyFB15rVBy7xzUR7NZOrNnFri34nowOofyVD4bBJk8L9nqYIU5xz/1GCrFR7m706G02KKYG14JOxyDAyyRQnvnc5MVcqv3S9n2RxIq3wuipVzd+kSzujnbwVw8eQqoM/ctG4ZvYD9EqbZbqfUjw2127eBChAKNpGVupr0/NHCCIJwUhza8j2Y0DcSbllWgGQJRdVKFdWjcx1YJjvOQHkPPfgFaJ4Xi9cQnJXPKevhm5PtGYdosXj+th1OPgW82wdogWlzt5TwlxdkQHetl4IaERSnjKvTnSx+zaakTdrCQ1nStHwWLS45UGxVW7niRWlDC3XTTw5gINX4Wrk5EZs3jPlh83IzHIcf/LKTnOOYmUbVaMJfZbeJd8D/Necc+NbUpGf+yzlc2ROPKCCFVyNCLOrqbkrgbY04sCrgtCW0c3xK5xjWVdTtSyZ/GHNT+LEZ1THktKvEHwcx9IWFXREvwsJjHKDzWKBWLpyzUFxwXt5r1N4vz/DG/y71EtBpPbC32snfW59kZG+VvwUn1nPEUk0UWFv5IjU39YYrbasdcqDPrtUzNOtizp2dugc99XD4DiBJj3Og7Ekyj/PXrG7ZvCIjHKT/CbWFlpJq7Z3SthDj+ugMCFsFaCv+0xOcrtwqDfgLEXgeASohLuPTAbWNzRu291m9O7Cic4uTMv8UVvLRNbMJPEu1i4eepD9ineDAvBKxFhYMEQhSXxqrdssgpHdjX1JgnIrW6rJfGAAx1hg2KG0XG6gKSNMumytX4XHU8huCxKjdyhYiQOT2oOY+nm0hVKjffgC+YmwlxULFjbakKi7hIA4IzJiHVe6ntPkRDMraIxcQb7EpqnfYC51vbQwhaFdM4utyurKfw+ryVW6brGGLLH8ESDtE+AUacAhoFRr1NMTU9C4rEgF8cno+TwDX8sGFGcmmtt6VQpEsVDvLBqiDM2WIsRddGgmjgxtSViZDJ8Ohuo4K4m+uL34tqi7NDl8nWRxii1YzJugtJxQXns5j/j3jWk7y+fpS/VhMHrXwDA+kurFcsSYXT4ztoKWevOrl9fCKBKjpvoROqGnO8xKRBRCb2OUfQd5o/xS16qiebPhWHP+CbEsu0rRsKDILkOI8ZYkDs4P22ylsnR12LEysG1Uae40kDOF7KE9w0pXol3P/k7ZjfxgFjwAssCfMFTThB7cYuoHS7ckwHGZb4sOKaUjttqk048SvvkaGsE7/cUbz6XDys5YkOB4+/fvDxRo1gMFvv6OIVNXnvdzbgkDm6X7Uf8Z6PTA54OK1n2J4LM0O1oGhuFlT5OC/yf4nc4K/sXv31H32mO8zNao20F52qVO9Y3wbysoXxH/Z/8qwXXP2ZSuc8sgOLMDe5vx5jImoQCsfD+ZONHTpGdt4W0CaEcLEtyobS7q40MDUaXqHCFbV359SjfyCNrPL7PyisZOsYehJ1TbzPpZ4nw16aw+MK+z1O3qAhMDA3GHg8lDwV19x0xMcHeOMdGg9+TzUZneUdMl32lTfq+p2ajz8UE2ldM+UqOFjdquY09e9cqJjl2hQ0D/FzcAJX3naRu2c6/nzIM3g/0xyGzGdc81F1cK8cFYYGV53Lt4rP7tGdlbB3dEMHermVM1OkYLpOdg2fwUEzFryawP2s5G+YAp+u2ZJzIeg8P8ZIG6IiGCbKSw++zWlZy+JulO5Tg09NaqSp2dUo45SyWZbPnjVE0dRyq5GjH3gOcfuY2xZUcB2MyBsvWOK6V+5tkAUDdEsH4pn81RPpbuH1M+K3QM4z2H5g4YCkrXCa9Dnqvf6DzuOY8qLDXisyNnR8HbgQTIL+ywUeLkLsyk+xrD5BjcgQTlFx8gMkTyXLBzARWe3vhiNm5OnWFDUPtVGnWLhKZVnKwJH+Fh+TSoojAXU34DF/JWunqobLJW04idFdzDvvjQuwuCu8HBSDc3zEp8t8394Yu6ZQvMx3KBpFmfyawBh0EAHwU6M8di/K3oH7JYIxIH4IUYwjQ/XsAAP/18/c0SVZ4GeMdeET/AJ35uub7C5wtNAgqFn4fY8SCvPOz2F3N8Tk1qjYWZrbEhIwXoWOU0o4XkFk2oTGQ0Bj3YHc5DvExaxIeJH0j63tu8/LEeZMJu/2lq+VixHFxYgx6HXaNbYzUaHm3JUcNjiYn6Rh87+uDZL09fsDDqP7uqP0SjI4Y1ahazzmTfGyTgSD8S5VH4V35MYjvtLOvknsY9fhuYHV8+0I1rHy1Nia1ew6f96ycdbWzruU+3qheLAabPbWP5wDQtapdOO5QMQojm5VEu0SnIdPROkeWMRLRAWTBtQRpz5tsIlYQ+c/yG39fLPbzxQuRYThcfAi5At44OKNLRYhGD5fbIx5v3NUxraYHqGEZiJqpn/GO8lz1xbpHQDHhfUUKC6kZa1+vi0kZA3n1aJ9zbErPyeH1xmtvpbR53GfHb2bRuB+hAyWjMD++8L8GVXI0wnLZ1ewwEA6YjcuESS8CcBNBWCHZg8OOjnFag7S3Q/m8JJORZnseYYJRG8QMD+AZ+y284p0pSeUGLZa1Yr2XJ24Y9PKFooVZqZSsMWpt+/W5jzApc2BWm6RlJSs5YOV9bSXXauOQ2YzJIUHoHyl0J7mJIHROm4rGaeSdmDMBrHhyEXfSr0rOCfbJgXMg1HteQHjsn7Cp7g3DUxREX6RYsBfOTm+F9+X2nVFAZ7qNlT7eLuYVhEgotq/knDUaBXv4eCRkxRUIsqsJh650azr23NiD1MxUKOGZdo94f53pDmYEBeCWYzVPpo8e9LLhe1+7MJLNNTUJX/erih6D3oBl/D9AlD0RgVrciT5yPow+p+AZP0fzfbTGmz1MfYglp5fgiYGvSAvfSoa3t5T9nST8RgyDqZkDsMzaFDO7lLeXMj6AKWQjWP0TfmXC/3OItd5eGBoWgqda6+2/1v4v67voGPUVW5YgYkhup+H2mRp8RmMCPeGlQQBy1DQlOAgfBQXg26i70OsYPM9LPqIEo38CRi91dwbsvztJ8Xs5fbSmukmQPLGerxolzDxpTRecv/rgGfd5EM/lulHpUDQpE4YQHzNerBdPTK0/I9i+OvtmKNnrgPSMTQYdZnS2uyzrdQxGNiuFiDq9ufMsGOyf2BST25M3c1XEBSFaK+J0xI90AdznS0angvhKs/JyjeJ9FLoTu/ue5kTsp1fx2UiL2IoHAeeQ3OwDwMMfD1t+KX+BUShnSVdlpAaKSjH+GNOlrrSMiZwMho/YeEe6k8XoPP6YF5vmalIlQd0yv8kDqCvQ+iIalJOrSs6MGTNQp04deHp6wt/fPzdvlWc4hC8ma1K7ajDgtl4vG7gPKPvgrtEUSOg+2VnJMbBCB4tUnQ5neZY4xvRQco2c8nEL2zE+NBhto4VZf4SZYsSuREruasrcimjKbQQa6ed0kTD4HIMlZgEek5xHGHmLtQMba3eqesIwWO3thSc6eaXiilFulcWGE34PcMlgJsZerfLxxvSU43jj71EAACuAkyYTMiDvruYZNw9PvNZh86XNsu0Rf69SYdLN8cwG92JFvIp/gneDA1EpPhbJGv3G+9aKFa6Gsgwy9c/QNVqYPODus7v2D4QU0g6Re9aBWXh1y6uovqQ62JpZVsn60p2sTZkpgr8dE4pX8dlY7uuD5rFZriEyAscX4Zn4KCgAJ01GxOtuafqecoh/R0+TAXVKBAv6BCkegg9jfGT/34Xds7XaYkduH4lZB2bhzQCegMDohBOpwIVQnIxFepea8UFgGMAz7muYg3ciOWo9ry57uYFZVvAGpXImS9akkCDs9LRgepB7gbn2zQSVy3gY9GBhwxpvL7wUHoplPt64k5wmKCPnDrrHyxmIrraS40BLKYcw+YfF/vvdN2Xi3/faaApmttqs8C71LrxLTUeGLV26WaKOXMcWWzXicX67j5pNOGeUruiQxvtykX6oEOPvPKAXujpdefAUrkDM3igz1u8Y0xg/DKohOLbs5VqSMZKJqoIbBj1u6fVgYU8ZrWRIkD/FH98Ao/8+6Mw35ArLI+OuNjujK0omOmNlt/JipMTuYACQZk2Dr59wWwWxCdUdjDwX+Oym9dZbriCz8kBg7EVkhFXkjut0DEyBO2EK2kY0DEuUHPFX8fADADwX6Se9pvk0+euyYDW4uvbkeUy80sAZL/wvqz2Vu+imsoiTDHE0HMd9JK2kFgVyVclJT09Ht27d8Nprr+XmbfIGUQdiwMJqfIQ2MZFoFhslWf7kM8/aFkszm+Dz8Pck54K9zdCZ7sAjYiUY4z3C1XZGZMXRTOkgF4jPcu3ic1k0mVSLCwAZaQevk7xecqxrVAQepkqVG64derK/7SPYd6jPFI3wJYrp0TwmEkt8vV2yZLGGZHwc4I+bpABur5CsgcUu+PEnHEv0Uhi8z+FXr5uCSxjAudkXpPEqAJCUloTmPzbHx0HemBYciMkhQVgSeUdzmx0YvE/DI2INvEt8AG+zAUMbl0DNeKcAdtwstDp+HuCHnlHhaBIbJXFXAwBT0Hbu87XH16CVVom5s/nXFwH+msq92zERvw5vwP3NgkGmKUnhCufvkwEGjPE+9/eP//zIfb5RdwgwZD/QRJr3Xyzk+Hua8EaL0oRbKffFB3o9ohn591UL2sRZ6Xu54cIG/HDyB7fvq3Uz0MN3DgMA9puFyr+cuxtLTswuuIcuK05FZ7T/zpme/PfQXrBT5ShsHd0QCwYoC8wAEOprwgm/Ozjgoe7nv87Hy6UYDL3lAjyif4BN/0C1rE7HIKTYPrwTEoT9Fg+8FxyI64+eiUrJuPLynuhH3eyCmqors0LnEQtVfK/UlHShki9HqtW5IpqU/kjqHszoBGMsd1hU7KmOxTHeeHbboEe/yHB04RkyQgOeoljiQlh1/Ofs/BJeZt4cFq2iRKnEJXSsrN0VN8THjAalQrjUvG3Kh6MqYf5Ms6aiZUwUmsdGIRPktOGrXuMH28vAG3N+9faCR8RaeCV8rrm9JK6YWFzKWom9WWk4BjeSN8aKafFTC7yRuQpJDtmG0QlX0N20/Pt6GDGhdRlMaF1GccsDregZBtDpwLIsGOM9MPoUpGU+gzlsI8yhm5GU9ogre8OghxXC1PeAUG56ElELqNg767jTg+efJ//iacZTwC9acCUJ/vvSVH9YeK+s52YyOMtMaF0GMyM+x+SMAdhMMBRY/TfAGPiH7DOwt1G+7xOPDt4NNBjL/enuXnMFnVxVcqZOnYpRo0ahfHm5pdDCg2Mi2uLliZmBAXgIHzyN2MwvIEsqzJiY+RJeHiSMzykf7Ye/bv0Fr+KzYfQ/DL/4hbJ1jGpeCment+Jy7kval3V/cTfdyfM3XvlqbSx6sSaIEAYsH2uS/aUWceuJ3YLN8GbPI2wsHuh0uFmss+x34N0sq80sZtxfglsGA2YFBfLawAJMuvzlANJiV+A7f1+8Em7fqVkQX8La8NSaBK+SM2EOJ2cceaLLFPz9zDsGLM/1hjRRLT+zHHee3cFPfp7YlGUFu+Gh3E4Sep/Tgr/fbFmaU2IB4DFPYR4aFoJv/e3WpEd6PTG7mjl0k7PdLljXXPExVsIUIlw9umkw4N2OZGVceH8GYX78TWJVBH/eb7Io7DG8S3yIp6YDkmIswwChZYh9WqzkbBndUCa4M/cHfHfje8btGocP//oQFx5dcOt6ft+Wj4+RvVqotPD6KitayXFYvIVKkVLV9rpuP7mNxec/woWkc5IiVpvQIXJIKwZ/hN7EixFkd2ExSQrGKDGexebB6HMKaYHfalJIU8x/Cv4WGyN0VvKqA79U68RwLHk9BL1rq2Xg0hAjxALQpQrUkDrL6iApTcmQ4Khd4nyHe3odBoeFYLunBWAYPLHeh3epadgU5DR6iV1eRkXr0YfnrrvPIk08ULXqNty3nhUc8yk7Ab/8+4vze3DNkOlATDpYlsWrW15FhR8qoO+Gvjj7wF4nv8984IYr7m8j62N86zL4oGtF4vmHaU7lzCqzospXjuTeOf67s93FOCESTxgGE2JsaB8TiUwAM7uUd2nl5EGq/Xv97VBSGR2ueCbjK39fpAN46d+lmBNkX229ZNP2/jl4tWFxvCqz75irOF7pB6n34V3iI3iXmoFMnhdKhs3+eZunBS1jotA4Ngp6Rqrk3NHrkaxjcKP5/wCD/Ts7xspfvL0w7uRkvPDbC9AyN/BjoQIZocsnI/rfcZ8LlnL43tpSUv/V5Ktg/X6HR9gGAKxsiIOSq7oNOtzW64XjX3h5QKdDhay9pzpX1ubGWtgoUDE5aWlpSE5OFvwrKPDH2aV+PrjHGMHqnZY6KwNs9bTgpfBQ3OUPJEwGDL5/A7pUbnze9kZDzOtXFXWKB2PgpoHOOvT3seLMCqy/IF1BAZRdiWzME4BJxwdZ+wWwVQfhx1RhTEdkUBoYXYaMti99cT8LH8EpNHyeZNj96PnCUv8EoGFcNG74xUvK29suNB/feHwDzX9qjkc2qU9+QuIK+JR5B12qK/iRmu0D8CWTEff0Il9hlsWplK3QGVJgCpAKwVmFuE8bfHugWvfxQus9QQGwCbLokDlpcyZOyJANUFJ+7fbwBIGdosludIQZmbY08SUcLu3vk0M+uObgbcIDrN0nXo35x+ej2qqm3CRqTwKgrU1/+9ifwWOPLSols8rf/RsDNg7AeUZoXf/t2nacun9KeoFGBZDvZjBs2zCU/7480qzyvw8ffkyU1Wbl3iutJKWrC6s5jqjPWHjufyxjE7yHc/tJd2ZXVnLsJyfsnoBV51ah6zrhZomP0x+j2U/NMPYPp/XxbqqyO0+6aO8Vd6IBbKZrYE2XYIlZCJ1Z3kVRXLfYICXnfss30Gy8uBGDt72IXutdDxTWeVyBMfAPsFnCzqOMW/ApPQVW0UM/eueoS/UysL+bMwMD8KenBcPD7ILt6WdrwOhTsTfA2QfEKY7vGoV/nzdJY2PuP7svOQYAb+1+C6fvn4ZN4VdrWyECeu9T8CnzDibvmYy9N/cCsL/vQ7cNxYYLG1B7WW3svLrT/l0YHRb4+eCNEMLePzLEBXlhcMPiRJcuQPy7akjqIPMOHLz3JyYFByKNEbqSuUsKT6BN0elcmxtIMDr8FnUecwL8MSY0GPsfX8ZXvhbs9miMFzLGql+vQoYtAzcf31QvKIDlVtquPCYbfRzf+1M/+5z0UK9Hms25Unn2wVls8AWaxkahblyMwPjnuPZnb3ts5OkHpzUthdtgV1SnBAXiqkHYb7jQQ5Ec9oy9A6/iH8Lov09wXDif2GTnSBYs0tmn8Er4CKaQjcI6dBloFhuFenFSReaHQTUwp3cVjG1F8GgoAhQoJWfmzJnw8/Pj/sXE5F2WJ1VE4+yJ4i8IDiZlPMaosBDst3jgg0Cn1cYj4kdYopbBp/QU58XGO2C8jxNvM33/dIzfNV5Tk07eP4mZ+2fiSvIVpIRNhHfJ6VhmbYox0Uuwv2p3THssFN5ar2mB6kuqk+vnvaxd095B/4xRmG9Zg44/d5QUHbhpYJbVQPqyXX16VnIMcKbydNBvYz/cfnqbWPau9SgA4HjS78TzYlZ7ewuVnMAEqOWVS2ecikSb0fPg7ekJMHwl0l7f/Wf3ncHsvD5gkxncMqHHDYMe2zwteDdYKOQwRBuOfZCd/M9SLuhdaSo6bdHjkVlesNe59ErnzmrFA1Ya60Pis8OfwcbaMD0oEDbYJwY53+HFpxZznw+quCaRhMm+G/ri8J3DmGw+zx07bDZj7P530ePXHpLyWhXAiW3Kcp93XN0BAHhl8yu4/+w+Ov/cGd+f/F5TPb3W90KtpbVw71n2XOBcxXW5R+iOE/PM+b5nlpqNp3qnBZXbK0xl5cjpcmo/d+bBGeKdN1/ejHvP7mHjRecETtrl+5pBjz4RYdjiacHyYNdXWknoor+EwfssAorPly8kUqgifC0Cg5KcnZUfhrP+ot3AdTVFmnSEz41KIwEA7xoawhS8BYAVXvH/g0fYBty22QX9M493EK/VaVDg+e1mYRet7omMbCTVQ2++jeN3yXMbCcZ43y44ytD91+7Yiwuyas4921/wjLG7bq45v0Zw7sGzBxi3axyeZT7D8O3DAQDp1gx8GhiAzd6ubST75/U/seacsH4ba8P84/Px162/nMey/v/w4Id4c6c0JhAAaiU4FawLSRfw4cEPcf/ZfXx8cirW+nhjka+28VONTN6rls7kwC4ovH5zkueC+GXgOFxyN46Ex0ubXkKLVS2w/+Z+7Rfp0rkYRv43ZHlvmy7r+AO902j6xOZcVe26risWBjl7WIbNOWYQs1TznsOehNp4a/dbEjfQI2FnMDwsBKt8vfFauDC20NlOUWgBlkFnug+PiLWY39/psqbnx78xVtgMt2GJ/h46y2VJ006m/Aad+R7MwTsFx5+YnatJF0Wxwv6eJrStEKEpVq8w4rKSM2XKFC7/v9y/v/76S70iAhMmTEBSUhL37+pV5YE+L9H7CVcELLF/A7yg84F7B3GfH/LiRIx+xyR1dfy5I0bvGI19N/dJzjkQr7b8ef1P1FlWB4tOLeKO9fy1J5aeWYq+G/oCABh9OvSe53HTYMBVhdiMDRc3EI463+YLXsk4FK8cwJ5pywRJSJYTsoWr5AzuPCXHsiw7s4z7rL7xqZ0vAv3xvwDexND6A6h17dvGKKDuCODFrXjnz3fQZ30f2HhCCsMwuP3kNhqtbIRWq1ppbo8NOrSMicKIMIWgaZEg33VdV6y+vZfL8qNXuc2pZz/KnsuPlRxJtS5OpwyAEaHB+LfkIqR7SwduAHj/4Pvc50F81yTCLumrz61Gcjp5FTiNsWG3xQOdo8Lxs4+CoOPCs3G4Qzg4fOcwGq1shPOPzuOjvz6SvY7fcoegt+vaLrx/4H3ne2CQWr4duLryQyLCz7lSuPb8WozdORYZVoUdXbIm+H0TmmDnmIYw8CdGnRX/BF6SXsL/THisLRzJHrL2BpJ7zUj9Koq3X4sVwBGzCRNDgnDMw4zRYSHY5SN0b2seG8Xt1bL63Gr0/LUn7j69S74hgXSWnG2M1HBGB/zz8B/ubzklpyIvsD7dqk0pSw0oiZKpP2BlzEWYQ36HMXAPd+4JeyOrNeQHqUXJEa+elAj1kdRG8ggwxH6M3ht6c65OaoTH7lYts1Z/GK/JjKfXbKS5zE46T1g1ZCWVeeOPMZraJWbw1sF4Z887+PfRv9yxrZe34rPDn+GdPe9wx54ZMpCUloQfTv2ATZc2Yc+NPZK6Vpz/lvudu6/rjh9O/YBJf07izv/qTV7FcXUflEze+5LOyG16LOVh6kOsOLNCcGx4aDBGH3TGFGtPc2J3P/35/M/K4wqcMYA//fOT/R6qmUIBI8/1+9pj59whcBXN+uLpvMRCBoXNmP+853Q7ZRgd5vn54qDAzdL5IF99egK//PsLvjwizOx21c+5wnzZaIQpZDMMvkdgd8XPzKqFxUOdDilZ7bPxXOxsnn9zn/WMUMlJ9fwdBp/T8Co2V3BPlmVhY4Vu+Fx9vDZ3iI7M1mbUhQ2XlZyhQ4fi9OnTiv8SExPVKyJgNpvh6+sr+FdQ0HkI96HYcOUnePCW4jN5nYvxEaYMdnD9sVBpO3OfbLEEpBPU4K2DkZKegg8OfoCLSRcF5x6mOX2iPePm429mjKqg2X1dd+GgwxsBM2JWQ2dUDlBlwBCDYw/d/x291/eWWL3432fK03/El3G8t985kH5x5AtM3zddsR0OFgTYrTR/WDzww61d0DO8WA/CxGBjdPYsKTHVseb8Ghy7dwyX03jtYnTYf8tuUbqfel/yHeQQp+zk43TlcJbhuwP+k5W5LjupiVUFGMHgL9oM1GbFj//8iPMPzyM7HPNOV52M+bFeDFjs8PIEq8/Es2AFKx6xTumx+cfnY8xOeWHmtfBQnDeZsNqHnAr0kYa4Dccv+cu/v6DKoir4/Yq2VUc+pCn82L1jWHx6MfceXG8+Bf8ERAMdvsSV5Ct4ZfMrXNnXtrqf0GXr6AZYN7QeAnmpdSf9OQkbL22UWMQFZI0THxx5C6/u6Io0UR+6GMA3rvCDd1LB6FOUY4AM9hU6rcYNQLjqs9DPF/0jw3GEt+GkkVDVqxF2t5XJeybj5P2T+OzwZ9hj8cBJhT1ctMCKflE9wwiUlnQGuPHYKfz84OuDl8JD4efpvK9WJYdlgQw4hTa9wI3OGfNIQk/IjPa/o/8TGJgE7sW6FCRbdIoxZMNDg7HI12kplzNi8elZPQZ1SmhzG/szmzEqDuPPjms7VMvOOzZPILR+d+I77vO1FGf/Jrlyb4rfLzB6ONzkxC6Cq8/ZY0Udrkgn75/kzv1LcOmzsTb02dAH/Tf216boVOyNjFhn/G06o90ANnL7SEzf75x37+r12O7liS03nAqp2AUSOqmLbqYtE5svbUbzn5rj7T/fxrzj9r1g7j+7j/G7xuPgrYNcWUf8FGB//3+7+BvqLauHvTf2Yte1XdhwQV6ZdfDlsQ+Ix53JA5zvp1EmOyAAPEp/xH0+l3weX/D2M7NXKH2ONx7fwOn7p5FuIPdTc/A2WKJWwBLzLW4FjEFyejKe2TLQIC4adYpJPZbGyCnjjA067xOybZcbOy8FC1dLx4Q637szD85g2LZh2Z73CyouKznBwcEoU6aM4j8PxV2Niw5WkLVmOfbcEAamzjs2T6akshXj+mP1jf88Dco+vacfnOb8lwEADINMSJcy5XiS8QQ2s9QH9sC9LTh+77jAugUIJ9xVGdpT764467QoHb59GKN3jCZOLg5eDw/FhycXICnT6dv7LPMZDt8+jJHbRyrei780zTBSy7EWy5LSJpUtngtDuUhfwY34VmRH7WovZYA5QPbcuYfSYG15hN9v3YV1mLZ3Gjr/0hlH7xzF33f/lrlOnfmnlLMC8bOhZWc9KVN/i/i7kCyoWpHLwCV24QHscQMAVPsWsT6GwT4Ps2AcELv6tPpjGJ7316Hm6S/Rdk1b4Tsr4lLSJWy9vFXTvUuE+qB8tB/xHCl74hf+fjhtMnIT/JbLW3D98XUsy5T60N/V6zA9KABns4w6Gy+vgk/pKfAuNQMpGTJxRJ2dz8AVJWfpmaXc5xW+UqVVywS37+Y+vBoeip5REZrTnztgWRbr/l2Hcw/PgWWEgp6OYQTfZWKQJ1quaonDt+0W6w+DArDf4oEFafbn9OWRLzlrtqvoCa4rsmUZoYB3Ofky5v49V2Bg4qvg/X7rjTaGO4SkDc7vtt3LEx8EOcclLYL4tE5liO6GrvCY1ebtoXV1OTUzFV8c+QJfH/uacx39+JBzPzN+f7uScoVYBz/RgaN8v439BGXEyR/Exql6z4TK7h/X/sDxe8dx9O5RPM54jD3X92Dw1sHyMSyd5yKzrbPdAzOc+xfdenJLsp/Z7SdO13FxHxTvpwYITUvFoq/Du9QU+JQdj08PfcodX3J6Cd7Y+Qb3Dmy7Yo/dnHdsHtZfWI9BmwYhw5aBTFumIP5u06VNGPPHGKRkpGDI1iEY8vsQjNs1DpeTyX08JT1FcF8A8OClqXZkcOO/i3qFBAzfX1iIfTf3Yf7x+XhlzzBpAcL8sOPaDnT/tTter9YGeFN+DjZ4n4MN6fjk0Ce4YXX2Afv7wvMkkemv0zuVxTMreTWZBWm3LjtJnsK4t8M8Gb33+t7YcXUHXvvdbjRbcWYFPj9sn78zrBlZXjuFl1yNybly5QqOHj2KK1euwGq14ujRozh69CgeP1Za8i+YZNxvJDmmA3mAlhveN1/eJLBgp2TIr5Zsv7pd9pyWCcTXrL4KJgy4ZjA2NBgdRPvYyNHkxyb45NAnmsoC2gQXtYDYAb8NwJbLWzjBUgkr43RXyrBlYMBvAwTW9kcg3CtrH4AMAGBZieVLy3O3KiQVuJ92CwteLCkQLvnPJU2nw1GzSfWlbF+8vew5RSu8CqfvO609/Tb2Q98NffEsU5wGVxtrLixVPP800/ke6DTKtFbWigmEgOE5R7VvhJkd+MrU8LAQyZ4d7vByRBi+OPIF9/fZh06LJl+Z5z8vOdqvbY9RO0Zh93V1F6B/H/2LPTf24HH6Y3x08COBJdlGWGOaF+CH7lF2v3u+K+AOqzRo/K2QIKzw9UHXPeNxIekC/nfiQ+7cl39/RFRKpzxx9j0t79myM8sk9TCM1ECTqmGG48cG3nXRjWPTpU2YuHsiuvzSRXLuUdoD4rj3878/C1a6d2c+xNOMp/j62NfEe9x4fEPiEnn58XnBHio6szOWKwP2ecUq47oiFqD477hDQP/4L+lGxRd5K13T903HExs5phIg9yExVRdX1ZzSWv4+2la+NK1i6AyCPkVKILLnxh7MP26Py+Ib4PgcvH1Q8DepHvHzEbt5G3n95uCtgxi2zSlsZ9gy8OrWV/Hn9T8xac8kyMHvMzc9UvE4/TF2X9+N5j81x0jRBqhKc+ojwqoH3yV//d2pYLLchhecWMAdF7vFp1vTcf7heW4VCwCqLKqC9mvk5zO+h4xcrN6HBz8U3BcAnvAUCEesCcszYDi6g9xYM//YfHx2+DPiuXvP7uFPiwdRotl3+yDgrZ5056d/fkKAp3O8GrRpEJIZpzwmjC9y3mlv8leydYoVJTUc772jn9x6cgt3n97F9P3T8c3xb3Dy3kk0XNEQrVe3zpENXPMLbWZ7N3nnnXfw/ffOwNvKlSsDALZv345GjRrl5q1zHOvTEjAG7RAcewb57Ea3n9yWrNQcvXsEsw7M0nS/0TtGY17zeTh65yiO3RPG9cgF7PPRYrmac3QOKoZUxKHbh/Ba6d7Y4kJGF/Gkq4YWJUds7ZJDzqLDJzrAAyeyfp5Dtw8RyzzNeApPo/M7M4weFeJjAQBLrKmSiYfvX88nw5oBY1Y8gVVGRbn15BYX28NHLKj1iwxHUKbYziaEb/W7kky2JgJ2peVJxhNUCxfm3b9h0OP1sBD0/fcXdC7bEzP3z0SQJQi/XfpNUseTjCewyCzBq7H63Gp0KdkFx+4ew4///IiRVUYiyGJXUr459g1X7riGPU4AYMuNPfiVEDCstCLqLpP+nIRHaY/weePPOQGJL5hkMgzS23wAnJAKgzkF37XJFY7cOYJSAaUQbAmWWIjf3fsurqZc5VaEaobXxP5b+/H9Kec4/c2xb9Auvp1s/eI0zmL2Wpz9peNaYeKS36/+ho//kgoBq86twpQ6UwDIjxV8QfW9/e+JVh6AZwYTwGYv0cA1gwHFAcUVsUO3D2HSn5MwvsZ4HL8nH2T/1+0DiPGNkhxnwAhWujNZeQvswVsHMWjTIFQIroAlbZcAsAuLUw69CK8E4iW4abMbyO6lk7NNid3V+H0kk83E4pOLse7COtnvBcgL+BwaZaJtV7epF8orGL1gPN5zYw86legkKfbZ4c9QKaSSbDVil8PmPzaXlBELjeLNKfn7tA3aNEhwjq+A8ldgHNx7dg9Dtg5BoMWZ+MYjYi3qL/8V1cOrAwB2iOb6C0ny6eg/F7traeD3K79LslZeSr6Ezr90lpTVurebY0VBLHvwDUMOrqRclBzjT81PM55q8swg0WZ1GzwLD8X7z4wAYVNx0rYbJKy8+eSv26I4dsa+2nfryS2Y9E73xT+uye+Vo7SSQ6LGkhro95xQ5mryYxPu88n7J5GSkYKUjBTYWJtkBbiwkKtKznfffYfvvvsuN2+RZ7DENBtyMBi3axxRuCYH/ZN5ZcsrxONT906VDax2tkBbex33iLOoWx+yQ05aAqysspAFAOk869mI7SOIZQZvHYzvWn3H/b3lgXODxfcu/g9tLcIBmcuyJmLK3imYUW8GoHuG6yby92z+k3Sik4O8paIT/vdXCvDt/mt3AMC2btsQ4ukI3GXRMsYueE05OBPBPlFYfna5bB3d1nXDT+1/4pSTG49vYO35tTh1/xRmN5oNo04+jmHynsnoUrIL+mzoAwBITktGxdCKKBNQxmUlGQAeupgyef7x+SgXVA61I2u7dF1SpR5Ye34tAOBi8kUk+NmlSXEfrpqLCg7gYhIJHjuu7sC8Y/PQPK45ZjeaDcA+YX5y6BOsOrdKUNYRd8Ynw5YhSd/Mh5/dzB1+OOXaRqaHbx9GoEeg6pj2KJsKDgC8HxSAhgBG7RglW+a1ra/hWeYzvP776yjhX0K2nFz8kWSFOCt5OgnHig/f0KVFiJqyZwqSM8luveJ78Y05269uV0yWoZU159egXLD6XlnukG5Nx+LTi1E7Qvt7rWlFWqcXjK3T9k7D9RSyazh/6wcx4nGCHzPrQCxgS1wIA2OBp2RXtC2Xndk1SYL6p4c+JWasy2QzJcqUgxzIvea8jy0T0/ZOy7H6HLBg8emhTyWrNiRmHXAaQByCfzoeccc6/twRlUMrY0FLcl2Xki/J1u3oSxM9bURlXs6NUUzf6/KGhExbJuotrwcAmF5XW1yyfTNQ1xQ3fiIrUhuKAgUqhXSBxiUlR35pVeseGmqouYrxYx60cC7pX/VCbnL0zlEcuCW3X406u67twq5ru7i/tVhgtFgIj9w5goo/ODd4u5/hnNBOPjmHDw4KAxnrRdUj1uPYtM6r+MeYEeua+wVp9Uqtp6llqRFz84lzsmRNwrgFJcsQYLcKfvX3V8iwZuDAzQNouaol5v49Fzuv7cTP//7skjVs29Vt+OTQJ3h166sutd9BhouD7meHP5M1FCjR9YHT3euHkz9wz0iLcl0QcKw48oWhzw5/JlFwlJBzj/vt4m+YeWBm9hqoAl9I3HtjLwb8NgDt18q7tOQk6RoUS77AfP6RfLCuOCbHgVigPG6VHzMMOqkdUsko4WDVuVWCuEQ+YoGav5JzKemSat1aWHF2heqKn6uszVrFXXhiIT459AlnxNHKlD1TFM8fNJsEWc4AaBKoJffZq3wfQDqHieNsL8ooOICw/5HGXyUhW84an+09dHhUX1Jdc3Y9V3jw7IHm34OvWMoZWI/cOSI7l2rxlpGbD9xdIZLDsTUBial7pwrKHU0hb36uBXHf4Cs5rqwQFTSokqMZ7Y9qf+bDHEnvmh22XtEWgOxg4RnlGAp3OPvgLL498a1mNzQ5hvxuDz50kB/C5pdHvlRdfdAZcibW7I5BeYHV4af8/oH3NQnxjgHq98u/o8KPDQXnVv6zUvX6dFs6hm4bihc3vyg4/izjWY4P6EpkuLBbPZ/y35d3+56rzq3C67+/DiDnJy81lp7OuXdSq3VRDdmsPzmAQ3jjP2d+/85JQcxhmBCTk1M5wzDwMkrdK0lW802XNhHr4LuWrTizAgdvHcx2DJrkOfL+5KdIzi78MTsnmJQVj8ePH3MFNSV/UIivYixsTkJysXKHa4+v4ULSBUEigyN3jsiWl8u++SD1AQ7eOogBGwdku025tQLw4V8fEo+rKdNKAnqdZXWy1Sbi/XI4fiXVSvYgAZzptkm8uuVV2FibZsO6WK7iP+/fLv2mOfNjQSNX3dWKEqzKLvUUKUouL9lBblC7Ycg9n1G5oGAH/HSYuY1jEll8ejHx/JLTS9C9lNPKybIsUjNTMXLHSLfuxw8U5fMw7WGeKpz/arCu5SZDtrovtNlYGz766yNFX34xpBgpdykM/tQ7r+5Eq/hWskKJWmISV5ALtL5jMOSIoAfYf3OSwPOnKMsmAEk2Sgf83236/umc62R26LW+FybVmoTupe1jBL+NLm3EqEJ2MhzK8ce1P3JFEdmWzRTVriLOrpYdHHFvXUp2QbdS3RTLkjInAnYXVXHsT2EhOwpjbsxfSpvbuoO7K6J7buzBiXsnZL2KXGHS7kmYsGsCxtcYjz5l+2S7vryESu4aoUpOwUFuYFqZ2CKPW+KEn+c/t5FLpOBg1oFZmLbP6ROdak1F7aWuxaVoYf7x+Xm6uqEWDJ2bZNgy3E7vu+7fdaixpAYWnVqEN3a+kcMtU8YRP6NlA8j8xrFKJKfkuOqC6y7u/s5itl7ZShRmtWwBANhXtsSrPkoB4q7w7r53uc98paGgu2Q6VlVzGsXNm3OJnLb4rz63Gr3W91Isk51tAQozOalUqsF3IcsJsjPHjtw+UvCuu4vDe0Rr4qyCBF3J0YqLMTmU3EMuiPRGYCyQ5J4rQ3bJS2H/aor63hCOwHnAHiidKZNONrsUdKEop1ByC1Bj4u6JOdgS1xj7x1i0jm+d56522aLwun8L2HJ5iyAuylVe+O0FSYaqnOTrv7/Gvpv7BEHW/5X3Ob9hwSq6IVFyjtd/f93F/eMKFtl5J+8+u6teqIhDlRzNFHxL6H+d7GZ9yg6fHNa+Z1BO4EqcSW5mSSlUwnM2yMuVupzmacbTXHEdyi0Kc5BrTpKbCg4AfHn0S8mx8sHlse/mvly9LwU4dveYYuwMJefI7fcot5Gkl6a4BJXctULd1SgKFJV0i67yX7H8Ku2HUtDJTmbD/OC/ojgXRKiCk3e8usW9LJMUCkU7VHLXDHVXo1DEqAmkckkLChuP0h7ldxPchr9bekEnOT2ZruRQKBQKJUegSo5GaOIBCkWKWuaXyXsm51FLcpecDhKmkKm7rG5+N4FCoVAoRQQquWuGruRQKGK0Zooq7KSku7bJK4VCoVAolPyFKjlaoSs5FIqEAb/lzJ4iBR2aCYlCoVAolMIFldw1Qx8VhUKhUCgUCoVSGKCSu2aouxqFQqFQKBQKhVIYoEqOVqi7GoVCoVAoFAqFUiigkrtGWLqSQ6FQKIUSTxvde4dCoVD+a1AlRyt0JYdCoVAKJazemN9NoFAohZCXy7+c302gZAMquWuGPqqCyLjq4/K7CRQKpYDzfJle+d0ECoVSCOlZpmd+N4GSDajkrpVcWsmpHVE7V+r9r1AmsEx+N4FCoRRwIr0jsftWcn43I8+J8o5CzfCa+d0MCqXQomOomFyYob+eVtjcicnpVKJTrtT7X0Gv0+fr/SuEVMjX+1MohZX36r2Xp/fzG3U6T+5TKqBUntxHCxFeEej7XN/8bgaFUmjRMTpUC6uW6/epH1U/1+/xX4QqOZrJnUfFgs2Vev8rMPmcEKJeVL18vX9RI9gSnN9NoOQRDJN3727ZwLKAyRM9S+e+60lBGtP1jJ5aoimUbKCDDl83/zrX71MY3OIMjCG/m+AydPTTTO5MyFbWmiv1UnKGF8q9oHheR18hAT4mHwxKHOT29fmttFLco2/Zgr1aUC3cboktSApIXsAwDKqGVc3vZlBcZHLtyQWyrrykS8ku+d0EAPZ3yKQ35eo9RlQZgZoRBd+tNC8NUzkFldA0k0tKji33lZwnF4bn+j3yi6S0pFytP8o7SvF8Cf8SuXp/MYlBiXl6P1fZ3XM3RlUdhRifGNWyJGWIYRg0im6UCy2j5CbRPtEuX5MTCu3OHjuxq8eubNeTUwx4bkCu1FsltIpb11UPrw6DLuesrz+2/zHH6pKjblTdXL9HQScnjT0tirWQPWfS5a7wnh0S/BLyuwkAcj8mp3eZ3nip/Esw6814v/77uXqv7GJjC18qfqrk5DM5OQHJYUuLROqtdrl+n/wg05aZo/WNrjoaI6qM0FR2e/ftsBgtOXp/Er4mX7xT+x3UjKiJVyq8ku36cisl5uxGs7kJ4WrKVdlyo6uOxuI2izG8slT5ZsBgYs2JiPWJzZU2qrGj+w6XyovjL8K9wjVdF+3tulLAx2LI/X6nRDHfYoK/tQhlC1osEFyndk2fsn24z73L9CaWCfQIhI/JR/XeDkI9QzWXdQcdowPLZm+1iDT+fN/6e5frebvm2xhYbmCOCszBlmC8We3NHKuPxJtVc7d+Ob5o8gXxeH640LJgEecblyN1KXkbmPVml+qq4WJsSp3IOvijxx/c367EthQUgTq3lRxvkzfxsxIvlX/J5ftYbDaMv//A5ev4FEbPI6rk5CO9yvRCYnDOWebH1xiPRa0XCY69V90+OZbyVs7itrPHTrfvWzawLBa3WQxfk2+uTYDxfvHE4zk1EQCAp8ET/Z/rz60k+Jn9FAUEL6OX7ABYNrBsjrULALqV6ob5LeajSph7Fl0+w6sMx+F+h6FncjZpQ7PYZprKmfQmVAypSEwaoWN0iPCOwPou6zXVldPZ9YIsQaplPmr4EfdZvBq1+fnNgr/HVh+LGuE1JHVce3xNtn4tfadj8Y6qZfIST6OnapkaETUEAqOa6wPfkls9vLpsOVeEEFeVw4GJAwEAlUMrayqfE4JZt1Ld3L42wisCAPBVs6/Qo0wPGPXGHFVy9IweA8oNwPEBx7G9+/Ycq7cgQPrtmsY2xfbu2zGyykjN9Zj1ZkytM1ViCNCKSWdCs9hmWN1hNTZ22ZhtxVzu/SjhXwKfNP7EpboiVDwbxIR7hSPAIwDHBxzH4b6HsaDlAs1jdm4rOVrHgpx6f+Qy6fLjXOpGOlcxfU2+snW5M+9tuHoDxTKybxTOrhEnr6FKjgtkpJSFNU044AR5qAtFcgLJxJoTEe8XL7GsB3oEytallHK6T9k+qBRaifu7VbFWaP9cFfw5vgl+eqWVotVG6Z5K/NX3L6xsvxIVQypiV89dGFBO6q7hbt185KxpcsqPq6xstxK7e+6GXqdHiYASWN95PTY9v0lRENMzeqKiMKLKCNnJI8QSotiO7d23481qb2JFuxXE835mvxxZ0jbqjGgd3zrb9Th4Lug5zf66SkKpq1azxW0WY23Htdzfb9V8S9N1Plb3J9CWxVpyikidyDoCAVj8DDqX6KxJAQCADsU74JdOv3DxI2JaxDndTt6s7p4xQS6bY5v4Ni7VI45t0TIOAkLBRc3Vk/9uKa14u+In7mr/Gl55OI71P6ZZqbTBlm0hwM/sh8YxjV26ZlWHVVjZbiXWdlyL1R1WC1y+ctKPnv87kJ7lxi4bVevY3n07KoVUkj3vatyUj1G6kje1zlTZ8nJ9lbQiaNQZXWrT8QHHcaDPAXQp2UXV1VmOvb33wt/DHya9CdE+0VjTcY1b9Tgg/f7tE9pjTcc1muJA9vXeJ/g70itS+715CoJRb4SO0eHH9j9iSu0pqtfmZ/wc/7dzdyXnrZpvYUjFIarl+MY+vU6Pnzv+jC+bfImOJeTHHCUFSI5gmw0mhbGpa6mu2NJ1Cw72OahYT2FbzaFKjgukXuuPpxdGCo592PBD1evaJrTF8QHHZc8PqzxMEGvxWePPMKTiENSKqCUp+2L5F7U3OIsofwssRhN299xNPF8hWJgG2dMgFcosNrJQyFeccmNZt2ZETezvvV9WQSPd01Urx/Mln0fZoLIw8nZFj/WNhZfRS/E6ucxFL5V/Cd5G8rKzmnuip8ETA8oNwHNBz8mWaVmspWIdcoytPharOqzi/pZbMXBnFcohDGiB7z4hDi4V90U1zHozEvwSUDeyLiqEVNCcvnfIo+zFci1ruwz7eu9DgEcA93s4Jkb+s9DqfgDYhdt4v3j0f64/8fzgioNRzLcYqoRWgVlvdivlqNx7FOmtXXABpNY8hrG7GaqRyTotiSUDSuLrZl/Lvq/8d0vtvZlUa5LqvQHt7jJbu27F7p67YdAZwDCM5neOZVlNwlmD6AZ4vdLrsuc/b/K5pvs5KBVQCmWDysLT7OyK+AAAJ+5JREFU6ImSASUF59y1RJP6l2C8F4kPzeOaa4rNCrYEY1GbRbLnXbXgx/hK4/+6lOyCckHluL+fL/k89/nnTj+jUUwjyTUkA5Tj2bmiuDr6LcmIpMU9XRzkThJoNz2/SXN7SL//tLrTuM91IusoXi+eB7XEW3L3zoaCndMrBjE+MfigwQeKZSwGC5rENBE8M3c9HsI8w2CDsy+zYDGtzjRJOT+Tn+DvBP8ENIxpiDDPMO6Y+DqSbAjIu/U6qJqahsYW4TvaJr4NjDojhlQcgnCvcHgYPBTroCs5RRoGgA5jqo3hjmgR7hyD3vJ2y8m1MgzmNpvL/e1p9MRrlV5Dcf/isnWJIS29iq00HgYPyYBWPbw6/tfsf4JjQyoNwasVXsWLiU6FasvVGzh+8Qrx3kpYDBa3X4pwr3BMqjUJnkZP2YGGNIi6kgmlcmhlTcIZCR2jc1mxk0s08X799/FBgw+IVn+xwuTu3kD1ouoJlIBeZaW7wLeIa+HW3j+uKDn834wvCLxc/mW8VUvbSoy4vrnN5mJx68WalQpjNgdqvU7PTf49S/fEnKZzsLyt/f1e1nYZmsc1x8+dfnar7nCvcLQq1kpwbHnb5SgZUBJrO67Fd62+A2B3T+WjZTWlc4nOmttR3E86/gB2gZEkyPcs3RM/tf9J4HIhRhxMXCeqDuJ9yauxpQNLc5+9jF6KlvEuJbvIxkPxBVx+nYBQ6OSvOAd6BMLP7BQ+xP1KTpiwsTZNSo5Zb8bgioMFq5BqLGixQHNZPu4Kmk1jm0qO8cfWgpJpSQcdMZaOb3FuEtuE++xr8iUKiQzDyL5D7qwqtC/eHt+2/FZwTEmxdQVXjBKkOYrf79+t+67muliwLv3ucgq2lueZk+5q37b8Fhu6bBDMN+/UfgcA4KF3CvV/9voTnzb+FM+Xco4Z7vZzHaOTxAx3LtlZ8s63L96eeD1f5hHLNAzDEH/XAI8AYl2OcV8H4POQBtj0/CaUCyqHWfVnYVb9Wdjfez9CPJW9TBzQlZz/AMX8inGfXVFyxBo7H60vkpywP7TSUO7z5uc348MGHxIFmln1ZwkCW1sVa8VN5g4BpGWxlhhaeSjKBTstYX4yKzlqLG6z2O1l5y1dt3AxN64oE65YLutE1nE7PaTcQAPIW+yifMiCWpuENhLL3+eNP0dxv+L4tPGnkvJKFpsepXsQj4t/B1Lf9TP7YVTVUZLjammhXUmgIffMhlcZLhAsXYFhGDAMQ1yFlNyfZdHh8RNUTE1z615i9Do9GkQ3gL+HPwC7ID270exsZQcSWxwd76Jep+fGCvGYoWN0qi5gYV5hxOOkd4b/m/LdQv3N/sTrGYZB6cDS+KTxJ7IZst6s9ib6lu2Lle1WcsfkJk2+i6qBMWB1h9UClz1xWzd22UgU2JTcBfnf++OGH3Of1cYbucDfhtENFa9z4PDDF8dt8JMtiKkRUQMH+hxwWVDWMh4ubrNYckztGeSlktPvuX6K7QiyBHGreU1i7AqNIz4JED4DhmHQqUQnlPBLQI/Q2pK6+LQrbk/YI2eok1uxB+zPTymWLK9gGEZxfFZyYyfFFfHnkal1pmJD5w3y985GPAt/FSS78H+HRa0XYU7TOWiX0A57eu3B7l67USqgFHqU7gGjzgiGYQQrvnLvASl5DH/Vi2EYgVHZYTQQG6/lnj/fmMmA4Yw8jkyLJLcyud9Z2K9ZRHpHYnm75Wib0BYMwwi8WOToVKITupTsUuj23SpcrS0gCJYyXbCqK3UO0oRBcq2Qux9fIIjwjkCr+FbEsgEeAYIJmm8R+qnDT9jdczdnEc1uwN2wysNQKqBUjvjWurLXw+Tak/FT+58Uy/Qp2wchlhBZhcCB2kQul7nGy+iFUVVHoXUxp+JSOqA0ZtafKSkrF6DaOLYx1nZai7JBUvexN6u9iXnN5xGvk7NGBpqVY6NKBpTE65Veh5fRC29UfUNwblTVUdjadSu6l+qONR2kPuJihalBdAPus4/RB+Oqj+P+dnWQFCezcPzdq4x0JUrNxRCwr0paWBaf375LVOhyGjn3MzECoUyLACl6rWysDbPqzxK4k/R/rj+3ovRBgw+Iz756eHXiKglf+fA2enPKTYPoBgJXIEA4VlgMFlQOIQfq+5n9MK7GOEGfllNC+G3VMTp4Gj0xoeYEYlnAPsHzr3Gsbsu5dojvwc+U6Gof3dVjFxa3WYw6UXWQmpkqOT+44mDB3w6hQnwfNXdL8Yq9WW9WVaxIfUk85lQMqYiupboqXicOvhePfXKKAN/zQQssWMk7P7rqaNnyjr7XrVQ3rOmwBh81sicGebvW22ge1xzftvxW8l28jF5Y0+lnjGr2CbEuAFjdYTU3jsnNYd1Ld9f4rfIXpf3elMYa8feuEV4DZQKc7qVdSnaRuAvyV4C9TOTx+OyDs7L3rBtVF183+9rtxA1qVAqtxP2uPiYfmPVmrOqwCm/XeptYXk4Omtd8HuY0nSNQdJe0WSK4rnp4dcxpOgfv1XtPNqGI3FjTPsG5wsMwDNZ3Xo8lbZbgmxbfAHDRe4L/Hby0rdiIebfuu5haZ2qu7xmU01Alxw34qyl6Rq+qDDjOKyo5fEtT1uemsU3xWePP8GvnX7lzcqtBrioS37T4Bm9We1PgWmLUGQWWdFd8b/m0T2gPi8HCxVvkhA+nVp/4F8q9gJIBJVE6sLSiJX18jfHY2m2r7PKuVpR+00GJg7jsTIA9DSxJmGyb0Nbl+xr1RtSOdFohSweUFpwTE+MTw600kGgR1wKrO6zmsou9kPgC1nRYgxrhNfC/pnZ3xjCvMEyqPQklAqSrBWILUrin03Vod6/daJPgWmC7Es3immF/7/1EN0OllaBvW36LL5p8gVCrXXgPtNkECkhuWaiqh1fH9u7bFQN2+5Ttg56lXdvxWrwC4lhJ2dDFaVn1MnohwS8BxwccR+v41hLBNNwrXOJS44BlWUypPQXR3tGYUW8G1ndZj5/a/4QqYVWkAoFoCBS7hSkF0g+vPFyiNDWMbij8PbLqD7YEo2a4fLA0fxzd0GUDvm7+tWLsEj/eIdhDe+Y38Xjr7+GPiiEVAQA3n9yUlG+XIEzh7zAuie+jJcEB/zvu7bVXNvWxHFNqT8EvnX6RHJ9UaxLWd3ZmNRTPa+J4UC2KuFlvRv9y/bnU91riJVmWlSSaUVwpZpztKRFQghP+Qj1DMbvRbMW9gvhzk1lvFqxY8mOb5OawoZWHEo8XBDwNnuhSsguMOqPi6p9SimmHy9jm5zdjdqPZaF+8PV6r9BperfCqIL6Tz+qOqzGp1iRUCa0icHnnw/eGERvUvmr2FepE1UHLYi0xquoozj1XDj2jx8Byznm2ZnhNYsyVK/D7tlw/9zH5oEF0A8E4xV+lcfT1BtEN0L54e6LReUilIbL1811kGYaBXqdHhZAKnJLh8kpqt++Byv2AKrmzl1dBJdeUnEuXLuHFF19EfHw8LBYLihcvjsmTJyM9PT23bpln8DuXXqcnDqB8/27HS6CkeZOUHIZh0CS2CeJ847C87XIsabPEpUBmJWpF1MKAcgMUX5TSgaXxQYMPkHZJuq9KlHcUvmr2FfG69+q/hz97/clNVDkdqCZWFPi7rfOtJXITm0P5yQmhVm2PDv6Su9z9ckq4dlh0+RYgB8vaLnO5vhIBJbCg5QLUj1YPcBdn0OP3Kx2jE2w69zD1oUvtEG+EqINOk/Xf1+TL/W0xWFA9vLpk8uOXl4sNyQmLYrAlWGKld/Tb1yq+hvE1xkuUU4dl/bPGnxHrFPcbfqrZCTUmoEpoFckqktz7TjKSVAmrgudLPY+Nz29EvF88fE2+nPIiVibFAnHD6IaYWX8ml+3r40YfQ44QzxAsb7dc8D1ZsELXXF7ztO5NFWwJRp3IOopj3BdNv0Bxv+KY03QOwrzC8GWTL7Gw5ULVukkue0pIFAae8Md37XM13s6oN2oSdl4u/zKaxTbD/Bbz0blkZ+I1OkaHWF/n/lRq9Yq/k5KhbXCFwfi08aeY32K+altZsGge11yxDD/eVIvHQaWQSijmW0yibPLfOV+TL2bUm4G2CW2xtM1SQTmHkS3BL0Gw4mXUGTlLfnaziHroPVxSWN+u6TQ0DKkkzOLVoXgH7O+zn8syp6QkKs0/jrk7wjsCzeOaQ8fo4GX0wtDKQ2VXHXWMDt1Ld8f3rb+XNTr1KtMLvcr0wpdNvsQLiS8IPB749QxKHCTw4gi2BOO9eu8JVuBZsBhccTBGVx2NdZ3WYX7L+S4r/loQj8OO90Pc73f22IkNnTdojnHRglofd7jOtYlvgwohFeBv9seeXnuEbS3XCej4JWDQvhLjcH92J5tbQSHXdqI8c+YMbDYbvv76a5QoUQInTpzAyy+/jCdPnuCjjz5Sr6AAwx8UjIwR/Z/rjwUn7EGhgR6BiPONw8SaE9FtXTdB+SBLEEr4l8D5R+clE6maoOvwyb//7D7xfG6lW2wd3xpDn2UAooQbb1R7Q3Fnar5C507b+KtXYoI8gnD98XXu73E1xuGNam8g3ZouEH75bZhQYwJmHrC7in3Z9EvN7VDLYBXrG4sRVUbgs8NkQZSv4DmEtrdrvo3p+6dzx3NKyfmiyRdItaYSk1Coxbrw46/cQc2iyV/iXnVulaYsgVu7bsXNJzdRPqQ8FrRYgBc3u5ZZMN4vHovbLMbtJ7dllVH+5PF6ZbK1c13ndSj/fXkAwJymc1xqA5/mxZpjx7UdAOyK+pjqY9CtdDdZ5Wpy7cmYXHuybH0xPjFoHtccWy5vASDsa73L9kbvstK4LXFfc1zj8B0P9AjE4taLsfnyZvQso31lSZLRi2EkAqUa/PGEZVlBWwVjSA4OdeWCymFtp7Xc3w1jtMXU8Puz2JWWASMZ88RCiiCDkYvfx53xdHgV6ca7aqgJVnJ9iXTMqDcSExkA9neBP56zYGHSmxBiCcHdZ3cl5RP8EjC/xXzundSi5HgYPPBLp18kiptZb+YMQJ5GT3gaPTGr/izpPf0TsK3bNvib/fHRX0L55btW32Hu33MxrPIw1XYoGfym1pnq0goEf7uIDsU74H9H7Svuqzqs0pxlElBRcnJJrtAxOsFKvCtbQTgC9T85ZHc1ZFkWnkZPgddEdiHFWjWJbYJt3bahyY9NhCdEjyjQI1C7wqvx8cr18VUdViE5LRlVwqrgWeYzeBm9sKj1IlhZq0D+cTf0oKR/SXzS6JN82RA3p8g1JadVq1Zo1cqZISghIQFnz57F3Llzi5SSo9fpMbTyUE7J6VO2D16p8IrsYJbdnPc5vYGjFljeCxLlEYzrqfdQPUx7QKUrA+WP7X8EA0ayySf/eU6qPQkz9s1A/3JOK7VBZ5BYqwaUG4Cxf4xFg+gG6F22NzoU78D59msl3Cscf/T4Aw1WNJAt81L5l3Du4TlsuCgNwORnV3G0r0eZHmhfvD1qLrVbI3NiszFH1huSgqM0QK3qsAp7b+xVTT2phvge4onTlcQEDsK8wrhAeb6LnFpdcb5xuJx8mbO+ygXbA0JrtUPZKBdUDifvnySW58fNuEq7hHZYeGIhzj86jzervQkdo8tWcgKGYTC70WxO2NN0jYz1PdI7Er93+x2+Jl94GDw0KaGTa0/G1L1TUS+qXo5MgvwAXBtsgrGuoOx+zmdVh1VYenopXqv4muB43ai62H19N/zMfkhKs6cqN+qNCLYE496ze5LkEGrfTS3Fr7uQlDHBebWVHNF50iqUOM6HRLR3tEDJKeVvF9DFmakaRTfCjms7NK9OqrXXgdYNuR2WefEzKx1YmpgcxlW0fg9HvFLpwNJ4tcKrCPUMFbicKbmfkXA3W2dOMjBxIJ5kPHHLzSw3FLHi/sXxYuKLknGN70njmGuzc3+t18r1Db4y64hHJWV9zY4hle9aWBjJNSWHRFJSEgID5TXctLQ0pKU5Mx4lJyfnRbNcRqDkMHZ3tQ7FO2D71e1cUL8Wn04+WsvLupvkYu5yfs3rar2H1IhEVTctPonBidh/cz8sBgveqPoGPj70MTqX6IylZ5ZKysr5bPPdvqK9oxX3WXDQOr41ygaW5TKauevqpyVuR26wSrc63TP5/YavaOVntpJSAaVcsvppRSxM87+jWIHVAj+hgJqr0JI2S3D83nHFjXP5/ND6B9x6cotTpL5t+S3ar22PO0/vcGWGVBqC+8/uq2YvU0LH6LC6w2o8SH3AxT7lJFomTKW+5urO6l1LdUXLYi1dGgu0YrPZZFdylL6nlne1Q/EO+OVfaUyKGmOrj8UHBz/gDAKlAkphSp0pknIz6s3AsjPL0LF4R6w8uxLPMp8h3Csc37X6DotOLZJYnOW+z47uO7Dl8hZJzF5O7cDesURHrD2/VjYDmJ7Rw9/sj0dpj4jvnFiYdrgQ9SjdAyvO2jczfqPaG5Lr1HC4kImVnNmNZuNi8kWU9BeuGua14c/VuVbP6DWl3dXqAsnfcNuxgn7ryS3umJyMYGAMgn2qHBh1RkyvOx2pmakCDwMg7/ZE8TB4aNrgOKf6vhZGVh0pOWYxWLCy3UowDMOt5s6sPxPDtg2TJMvQglYlx113scEVB2P1udVcTJyr5OeGrDlFnik5//77L7744gt8/LG8b/bMmTMxderUvGqS24hXcgD7xCZbXoNlhV+n0oucHwLxK/WLA1nZCo06A4wuCjWz6s/CwhML0bVUV8T7xaNb6W7QMTqikiMHf7B15RnkmRVCZiwgBemLye3fND8271JS1N3xXTfrzdjQeYOmdJd+Zj/Ui6qnue7KocJMYJ5GTyxtsxTdf+3O7bEitta7iyPdbW6g5XfO6bS/uaHgAPakCnLCq9LEWzeyLvqW7StJfMCncmhlt5ScvmX7olFMI2LqWD6BHoFcoPfoas6sYHG+ccQMTh2Kd8C+m/skBp4gSxDRZTCnBI+JNSeibmRd1IkirxQxDIMFLRfgyyNfEt1R+X1pRbsVXKIa/n5FmjIxyXTJUdVGYdreaVxabaPeSDTI5PVKRLXwalh+lrznHYnvWn2HqXunYkKNCTh69yixzMByAxWzAKpBiukVo5SSuWMJe8ILsZLTKr4VqbiEl8u/jG+OfyOIj81vFrRYgKl7p2JSbW0bBWtFnO20UUwj/NX3L8VU3HKoreJOqjUJ5x+dR43wGi7XDdj3ZRpSUT65gRr/SSVnypQpqorIwYMHUa2aM/3xjRs30KpVK3Tr1g0vvUTeXwAAJkyYgNGjnZNCcnIyYmLcy/CVm/CFCS1p/DSt5Gi0UOSHu9q41mU5Jccdgi3BGFPdmUbUIdT/2vlXHL59GO/seUe1jvx+2f7q+xeGbB2CA7cOEM/LTSCBHoHY9PwmxdTGOaHklA8Wuix93+p7DPjNbvHLj2en1J/dVbpIO5u7RfnuwPGVikXCvMKwo/uOArPhoRbcWclxd/LMbTJtmcLVbV5/Uuo/DMNgXI1xsuezA8MwbmecVKJdQjsU8y1G3Pw5N7EYLIpCrJ7Ro1RAKXze5HPief5vwk8s4o613SEk8/cq6laqG+pH1Rfs/E4iOy6k7tAirgU+bfQpygSpZ4oD7LEzDjd1kpJTwr+EQBkmUSGkAo7dPSa7UbNgnJJ5/O/Vew/jd43XvOLwccOPNbuPDas8DG3i2yDB3333Wy240rdqRNTA+i7r1QvmAO4oOID6XJgTKcqzM4flh4E0p3FZyRk6dCh69lQOSC1WrBj3+caNG2jcuDFq166NefPI+3o4MJvNMJvd6yx5CV/71qJ0yO3EzUfryyvXYbXsdu4uOl3uCHpxvnGI843TpOTw5bf8WM0y681Y0HIBeq/vjeP3jkvOK1lk5HanrhtVF39e/1OyCagr/NzxZ2y8tBEDnhOmhawS5sxIlp24D3dxZe+FPCdImzBZmBQcrfBXlZvFNiOm4S4IiFdy+IHA2e0/BS2+h2EYlA/RHleVV++PmgcCfxzmb3Ks9b0x681Is6ahTmQdDEocREyOoDR3zmk6B2vPr5WkIM5tGIZB0zhyEgV361Pjs8af4efzP3MrLmL4rn1PM54Sy7RNaItGMY007SUGAC2KkTfeJeFI303RRvXw6jh466Bb20dQXMNlJSc4OBjBwdqCTK9fv47GjRujatWqWLhwIXS6orEtD3+SUVoqX91hNZ5kPNEUlKvFEgNIBfyPGn6Esw/OCvZMKYrwV0ryU/isHVkbx+8dl0wUnUt0xpbLWyT7fSgxt+lcpFnThJmWXCTBP0F2D4Tl7ZZj6emlmrL+5DQt4lpg0alFAitr62KtsfHSRkHgMGnfIIprvF3zbXx+5HNMqztNtSz/3RmUOCjX3M2yi9VmBcMweKHcC0hKS3Ip+5Iarmyi91+kXlQ9nL5/WnVOYRgGe3vthZW1ChKePF/yeXx/8nvFvZEA+0r+wVsHNbtEiWkQ3UCw6XBh5c2q6isrwZZgxWQgfLkgzZomW06rglNgKSJ2p7nN5iIpLcnlOEiK6+RaTM6NGzfQqFEjxMbG4qOPPsLdu85UkOHh6isbBRm+JdDAyD9CcVpVJbSu5IiVnJbFWmreKDNnyB8rPN+il59CyqsVXkWUd5Qk41H96Pr4pdMvLgntDMNkS8FRo1xQOcVYsezwbctvMWjTINnzlUIr4edOPws2BX2/wft4p/Y7ggQQMT4x+F/T/2V7U1bXKCIzZRY9yvRA99Ldc9QtNr9xBEiTAtezu5LRNqEttl3ZVngNQ7k8BP+v6f9gZa2aMiKSkrn4mf2wrds21ViZcK9wLh3wf5XdPXerpvfXghZvEUrBwaw3FwoFJ9+9LnKAXFNyNm/ejPPnz+P8+fOIjhYGahZ2Pz+tKzmuwBdQ/Ezyg56r6SGLCma9GXt77SWmR8xLTHoTupTsQjyXk9bmgk718OqI8YnB1ZSrsmXEbnIMwxCFIi2bjVKU0bq6mZ/vjisozhHZnD5MehO+aJrzmwXmFe6kY3cFhmEUjXdaKAhpiQsDpP1YsovVpp7JTY3SAfKJOyiUwkSuzXgvvPACWJYl/ivs8Fdyckpo0DE6fN38a3za+FPF7EuFRUjJDbxN3i7tcUOhUIQUljgjpUxQRcG6mB16lOmBBL8Et9PCUvKPYr7FBH/nxvuo9O5opTCME2OrjwUATKuj7qZLcY+iIG8W/m+QH+TSHFsnso7srtAOGIZB91LZz7jhNoF5H8ROKZgUWoNFyWb2/wkbp/6XKMjKglLfqhhSMQ9bUvDwNfni504/50usHSV7NI9rLpjjc8N9VKxIFQUc36l5XHPuWL/n+mFvr73oXLJzPrWq6FMUPIfydDPQokJ+Cwe1Imth5T/KKXBznFEngfQngFf2dzanFA0KatC6KlFVgcF/Ar7krHeUgs2L5V+El9EL9aOomyOlcMEwDMZUH4Pfr/zO/Z1TbOyyEcnpyTkSn1PQYve+a/Ud9tzYI1ByAPc3+KZoozCs6KlBlRw30JItLTfJlwHIT3kDvOzgY/JBSnoKcaM3SsFlRr0ZmLxnMoZUGpLfTXGd8MT8bkG+k9f7i7iC0kqOWW8W7PpOoRQmoryjMKzysByPx4n2yb05Or8JsgT955NU5AdFwV2NKjluUDqwNN6u+Xa+ZTQpaFaW7LKo9SIsOrUIL1d4Ob+bQnGBkgElsbTt0vxuBsVF1nRYg8cZjxHiGZLfTZGlKAtsFEpBj6cqChZ8ivvoGT2srFWSRbYwQpUcN+lRpke+3buorXgU9y+OKXWm5HczKJT/BAV5074fWv+AZWeWad6VnUKh5BwDEwdi4YmF9P37j/Pb87/h1P1TaBTTKL+bkm0YtgBHDycnJ8PPzw9JSUnw9fXN17YUG7+e+3xpVv7vUnvs7jEEeAQgxicmv5tCoVAoFAqlCPA04ynNYkop0LiiG9CVnEJKhZAK+d0ECoVCoVAoRQiq4FCKEoU/qohCoVAoFAqFQqFQeFAlRyMBnkYAgI7G41EoFAqFQqFQKAUaquRoZOnLtdCwVAh+fr1efjeFQqFQKBQKhUKhKEBjcjRSNsIX3w+qkd/NoFAoFAqFQqFQKCrQlRwKhUKhUCgUCoVSpKBKDoVCoVAoFAqFQilSUCWHQqFQKBQKhUKhFCmokkOhUCgUCoVCoVCKFFTJoVAoFAqFQqFQKEUKquRQKBQKhUKhUCiUIgVVcigUCoVCoVAoFEqRokDvk8OyLAAgOTk5n1tCoVAoFAqFQqFQ8hOHTuDQEZQo0EpOSkoKACAmJiafW0KhUCgUCoVCoVAKAikpKfDz81Msw7BaVKF8wmaz4caNG/Dx8QHDMPnaluTkZMTExODq1avw9fXN17ZQCge0z1BchfYZiqvQPkNxFdpnKK5SkPoMy7JISUlBZGQkdDrlqJsCvZKj0+kQHR2d380Q4Ovrm+8/MKVwQfsMxVVon6G4Cu0zFFehfYbiKgWlz6it4DigiQcoFAqFQqFQKBRKkYIqORQKhUKhUCgUCqVIQZUcjZjNZkyePBlmszm/m0IpJNA+Q3EV2mcorkL7DMVVaJ+huEph7TMFOvEAhUKhUCgUCoVCobgKXcmhUCgUCoVCoVAoRQqq5FAoFAqFQqFQKJQiBVVyKBQKhUKhUCgUSpGCKjkUCoVCoVAoFAqlSEGVHAqFQqFQKBQKhVKkoEqORv73v/8hPj4eHh4eqFq1Knbt2pXfTaLkATNnzkT16tXh4+OD0NBQdOrUCWfPnhWUYVkWU6ZMQWRkJCwWCxo1aoSTJ08KyqSlpWHYsGEIDg6Gl5cXOnTogGvXrgnKPHz4EP369YOfnx/8/PzQr18/PHr0KLe/IiUXmTlzJhiGwciRI7ljtL9QxFy/fh19+/ZFUFAQPD09UalSJRw6dIg7T/sMhU9mZibefvttxMfHw2KxICEhAdOmTYPNZuPK0D7z3+aPP/5A+/btERkZCYZhsHbtWsH5vOwfV65cQfv27eHl5YXg4GAMHz4c6enpufG1pbAUVZYvX84ajUb2m2++YU+dOsWOGDGC9fLyYi9fvpzfTaPkMi1btmQXLlzInjhxgj169Cjbtm1bNjY2ln38+DFXZtasWayPjw+7atUq9vjx42yPHj3YiIgINjk5mSszePBgNioqit2yZQt7+PBhtnHjxmzFihXZzMxMrkyrVq3YxMREds+ePeyePXvYxMREtl27dnn6fSk5x4EDB9hixYqxFSpUYEeMGMEdp/2FwufBgwdsXFwc+8ILL7D79+9nL168yG7dupU9f/48V4b2GQqf6dOns0FBQeyvv/7KXrx4kf3xxx9Zb29v9tNPP+XK0D7z32bDhg3sW2+9xa5atYoFwK5Zs0ZwPq/6R2ZmJpuYmMg2btyYPXz4MLtlyxY2MjKSHTp0aK4/A5ZlWarkaKBGjRrs4MGDBcfKlCnDjh8/Pp9aRMkv7ty5wwJgd+7cybIsy9psNjY8PJydNWsWVyY1NZX18/Njv/rqK5ZlWfbRo0es0Whkly9fzpW5fv06q9Pp2N9++41lWZY9deoUC4Ddt28fV2bv3r0sAPbMmTN58dUoOUhKSgpbsmRJdsuWLWzDhg05JYf2F4qYcePGsfXq1ZM9T/sMRUzbtm3ZQYMGCY516dKF7du3L8uytM9QhIiVnLzsHxs2bGB1Oh17/fp1rsyyZctYs9nMJiUl5cr35UPd1VRIT0/HoUOH0KJFC8HxFi1aYM+ePfnUKkp+kZSUBAAIDAwEAFy8eBG3bt0S9A+z2YyGDRty/ePQoUPIyMgQlImMjERiYiJXZu/evfDz80PNmjW5MrVq1YKfnx/tZ4WQ119/HW3btkWzZs0Ex2l/oYj55ZdfUK1aNXTr1g2hoaGoXLkyvvnmG+487TMUMfXq1cPvv/+Of/75BwDw999/Y/fu3WjTpg0A2mcoyuRl/9i7dy8SExMRGRnJlWnZsiXS0tIELrm5hSHX71DIuXfvHqxWK8LCwgTHw8LCcOvWrXxqFSU/YFkWo0ePRr169ZCYmAgAXB8g9Y/Lly9zZUwmEwICAiRlHNffunULoaGhknuGhobSflbIWL58OQ4fPoyDBw9KztH+QhFz4cIFzJ07F6NHj8bEiRNx4MABDB8+HGazGf3796d9hiJh3LhxSEpKQpkyZaDX62G1WjFjxgz06tULAB1nKMrkZf+4deuW5D4BAQEwmUx50oeokqMRhmEEf7MsKzlGKdoMHToUx44dw+7duyXn3Okf4jKk8rSfFS6uXr2KESNGYPPmzfDw8JAtR/sLxYHNZkO1atXw3nvvAQAqV66MkydPYu7cuejfvz9XjvYZioMVK1Zg8eLFWLp0KcqVK4ejR49i5MiRiIyMxIABA7hytM9QlMir/pGffYi6q6kQHBwMvV4v0Tjv3Lkj0U4pRZdhw4bhl19+wfbt2xEdHc0dDw8PBwDF/hEeHo709HQ8fPhQsczt27cl97179y7tZ4WIQ4cO4c6dO6hatSoMBgMMBgN27tyJzz//HAaDgfstaX+hOIiIiMBzzz0nOFa2bFlcuXIFAB1jKFLGjBmD8ePHo2fPnihfvjz69euHUaNGYebMmQBon6Eok5f9Izw8XHKfhw8fIiMjI0/6EFVyVDCZTKhatSq2bNkiOL5lyxbUqVMnn1pFyStYlsXQoUOxevVqbNu2DfHx8YLz8fHxCA8PF/SP9PR07Ny5k+sfVatWhdFoFJS5efMmTpw4wZWpXbs2kpKScODAAa7M/v37kZSURPtZIaJp06Y4fvw4jh49yv2rVq0a+vTpg6NHjyIhIYH2F4qAunXrStLS//PPP4iLiwNAxxiKlKdPn0KnE4pver2eSyFN+wxFibzsH7Vr18aJEydw8+ZNrszmzZthNptRtWrVXP2eAGgKaS04UkgvWLCAPXXqFDty5EjWy8uLvXTpUn43jZLLvPbaa6yfnx+7Y8cO9ubNm9y/p0+fcmVmzZrF+vn5satXr2aPHz/O9urVi5iKMTo6mt26dSt7+PBhtkmTJsRUjBUqVGD37t3L7t27ly1fvjxN1VkE4GdXY1naXyhCDhw4wBoMBnbGjBnsuXPn2CVLlrCenp7s4sWLuTK0z1D4DBgwgI2KiuJSSK9evZoNDg5mx44dy5Whfea/TUpKCnvkyBH2yJEjLAB29uzZ7JEjR7itT/KqfzhSSDdt2pQ9fPgwu3XrVjY6OpqmkC5ozJkzh42Li2NNJhNbpUoVLoUwpWgDgPhv4cKFXBmbzcZOnjyZDQ8PZ81mM9ugQQP2+PHjgnqePXvGDh06lA0MDGQtFgvbrl079sqVK4Iy9+/fZ/v06cP6+PiwPj4+bJ8+fdiHDx/mwbek5CZiJYf2F4qYdevWsYmJiazZbGbLlCnDzps3T3Ce9hkKn+TkZHbEiBFsbGws6+HhwSYkJLBvvfUWm5aWxpWhfea/zfbt24myy4ABA1iWzdv+cfnyZbZt27asxWJhAwMD2aFDh7Kpqam5+fU5GJZl2dxfL6JQKBQKhUKhUCiUvIHG5FAoFAqFQqFQKJQiBVVyKBQKhUKhUCgUSpGCKjkUCoVCoVAoFAqlSEGVHAqFQqFQKBQKhVKkoEoOhUKhUCgUCoVCKVJQJYdCoVAoFAqFQqEUKaiSQ6FQKBQKhUKhUIoUVMmhUCgUCoVCoVAoRQqq5FAoFAqFQqFQKJQiBVVyKBQKhUKhUCgUSpGCKjkUCoVCoVAoFAqlSPF/P2hbkNIOnS8AAAAASUVORK5CYII=",
"text/plain": [
"Figure(PyObject <Figure size 1000x300 with 1 Axes>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"PyObject <matplotlib.legend.Legend object at 0x4089db4ee0>"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig = figure(figsize=(10, 3));\n",
"ax = fig.subplots(1, 1);\n",
"\n",
"for i = 1:d\n",
" ax.plot(w_gs[i,:], label=\"d:$i\")\n",
"end\n",
"ax.legend()"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "9e689b29-acb3-4c2e-8be9-97593f10804c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"Figure(PyObject <Figure size 1000x1200 with 4 Axes>)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = figure(figsize=(10, 3*d));\n",
"ax = fig.subplots(d, 1);\n",
"\n",
"bins = range(minimum(w_gs), maximum(w_gs), step=0.1);\n",
"for i = 1:d\n",
" ax[i].hist(w_gs[i,burn_in:end], bins=bins);\n",
" ax[i].vlines(w_t[i], 0, n_sample/20, \"red\", label=\"Setting\");\n",
" ax[i].legend();\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "5d9251b1-8900-4f65-b5b7-26392993cce7",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = figure(figsize=(10, 4));\n",
"ax = fig.subplots(1, 1);\n",
"\n",
"n = 100\n",
"d = length(w_t) - 1;\n",
"idxs = sample(burn_in:n_sample, n, replace=false)\n",
"x_plt = Array(range(-3, 3; length=1000));\n",
"for i = 1:n\n",
" w_tmp = w_gs[:, idxs[i]];\n",
" y_plt = system_model(x_plt, w_tmp, degree=d);\n",
" ax.plot(x_plt, y_plt, color=\"gray\", alpha=0.3);\n",
"end\n",
"ax.plot(x_t, y_t, color=\"orange\", label=\"setting function\");\n",
"ax.scatter(x, z, color=\"blue\", label=\"data\");\n",
"ax.legend();"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "2d613742-8b6c-4a59-866d-a1d30914411b",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 1.6.1",
"language": "julia",
"name": "julia-1.6"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "1.6.1"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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