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@mlaves
Created January 23, 2021 12:50
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bayesian_optimization.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "bayesian_optimization.ipynb",
"provenance": [],
"collapsed_sections": [],
"authorship_tag": "ABX9TyMco1swYbx0OixPPGE0tCZB",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"accelerator": "GPU"
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/mlaves/777601d349d948d4aeaf623bbc80d5dc/bayesian_optimization.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "UKbDhA8P7kI4"
},
"source": [
"# Simple Bayesian Optimization for Learn Rate Hyperparameter Tuning\n",
"\n",
"In this simple example, we will use Bayesian Optimization (BO) to tune the learning rate of a CNN trained on FashionMNIST.\n",
"BO is a sequential strategy for optimizing black-box functions, where derivatives cannot be evaluated.\n",
"We will use Gaussian Process (GP) Regression to find a function $ f : \\eta \\mapsto a $, that maps the learning rate $ \\eta $ to the test accuracy $ a $.\n",
"\n",
"We make use of an acquisition function $ \\alpha = \\mu + \\kappa \\sigma $, also called upper confidence bound (UCB), that balances the mean and the variance of the GP regressor, governed by an exploration factor $ \\kappa $.\n",
"A high value of $ \\kappa $ trades-off exploration over exploitation, i.e. increased exploration of areas with high uncertainty.\n",
"We use local maxima on the expected improvement $ \\alpha $ to find learning rate candidates for our next BO iteration."
]
},
{
"cell_type": "code",
"metadata": {
"id": "W9Y9f8GfJ_Fu"
},
"source": [
"import torch\n",
"import torch.nn as nn\n",
"import torch.nn.functional as F\n",
"import torch.optim as optim\n",
"from torchvision import datasets, transforms\n",
"import numpy as np\n",
"from matplotlib import pyplot as plt\n",
"from sklearn.gaussian_process import GaussianProcessRegressor\n",
"from sklearn.gaussian_process.kernels import RBF\n",
"from scipy.signal import find_peaks"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "EY1tHg3bKCgD"
},
"source": [
"class Net(nn.Module):\n",
" def __init__(self):\n",
" super(Net, self).__init__()\n",
" self.conv1 = nn.Conv2d(1, 32, 3, 1)\n",
" self.conv2 = nn.Conv2d(32, 64, 3, 1)\n",
" self.dropout1 = nn.Dropout(0.25)\n",
" self.dropout2 = nn.Dropout(0.5)\n",
" self.fc1 = nn.Linear(9216, 128)\n",
" self.fc2 = nn.Linear(128, 10)\n",
"\n",
" def forward(self, x):\n",
" x = self.conv1(x)\n",
" x = F.relu(x)\n",
" x = self.conv2(x)\n",
" x = F.relu(x)\n",
" x = F.max_pool2d(x, 2)\n",
" x = self.dropout1(x)\n",
" x = torch.flatten(x, 1)\n",
" x = self.fc1(x)\n",
" x = F.relu(x)\n",
" x = self.dropout2(x)\n",
" x = self.fc2(x)\n",
" output = F.log_softmax(x, dim=1)\n",
" return output"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "6VDe958DTXPn"
},
"source": [
"def train(model, device, train_loader, optimizer, epoch):\n",
" model.train()\n",
" for batch_idx, (data, target) in enumerate(train_loader):\n",
" data, target = data.to(device), target.to(device)\n",
" optimizer.zero_grad()\n",
" output = model(data)\n",
" loss = F.nll_loss(output, target)\n",
" loss.backward()\n",
" optimizer.step()"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "1xQ5g4DATn9l"
},
"source": [
"def test(model, device, test_loader):\n",
" model.eval()\n",
" test_loss = 0\n",
" correct = 0\n",
" with torch.no_grad():\n",
" for data, target in test_loader:\n",
" data, target = data.to(device), target.to(device)\n",
" output = model(data)\n",
" test_loss += F.nll_loss(output, target, reduction='sum').item() # sum up batch loss\n",
" pred = output.argmax(dim=1, keepdim=True) # get the index of the max log-probability\n",
" correct += pred.eq(target.view_as(pred)).sum().item()\n",
"\n",
" test_loss /= len(test_loader.dataset)\n",
" return correct / len(test_loader.dataset)"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "5sv0PIj0TwqI"
},
"source": [
"use_cuda = True\n",
"\n",
"device = torch.device(\"cuda\" if (use_cuda and torch.cuda.is_available()) else \"cpu\")\n",
"\n",
"transform=transforms.Compose([transforms.ToTensor()])\n",
"\n",
"dataset1 = datasets.FashionMNIST('../data', train=True, download=True,\n",
" transform=transform)\n",
"dataset2 = datasets.FashionMNIST('../data', train=False,\n",
" transform=transform)\n",
"\n",
"train_loader = torch.utils.data.DataLoader(dataset1, batch_size=256, num_workers=1, pin_memory=True, shuffle=True)\n",
"test_loader = torch.utils.data.DataLoader(dataset2, batch_size=256, num_workers=1, pin_memory=True, shuffle=True)"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "tj6F_3DhUBg1"
},
"source": [
"def run(train_loader, test_loader, lr=3e-4, epochs=10, device=torch.device('cpu')):\n",
" torch.manual_seed(0)\n",
" model = Net().to(device)\n",
" optimizer = optim.Adam(model.parameters(), lr=lr)\n",
"\n",
" for epoch in range(epochs):\n",
" train(model, device, train_loader, optimizer, epoch)\n",
" acc = test(model, device, test_loader)\n",
" \n",
" return acc"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "zAdkwneWUrz0"
},
"source": [
"f = lambda x: run(train_loader, test_loader, lr=x, epochs=3, device=device)"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "_ZXtcNeapat2"
},
"source": [
"# acquisition function\n",
"\n",
"def upper_confidence_bound(mu, sigma, kappa=3):\n",
" return mu + kappa * sigma"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "_BY1AzzNsdEb"
},
"source": [
"# preparations\n",
"\n",
"lr_init = 0.02\n",
"X = []\n",
"Y = []\n",
"X_ = np.linspace(1e-6, 3e-2, 10000)\n",
"\n",
"kernel = RBF(length_scale=1e-2, length_scale_bounds=(1e-8, 1e2))\n",
"gp = GaussianProcessRegressor(kernel=kernel,\n",
" alpha=0.0001, n_restarts_optimizer=10)\n",
"\n",
"candidates = [lr_init]\n",
"\n",
"prior_mean = 0.1 # accuracy of a random model"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 331
},
"id": "2tFLKuIBaqVh",
"outputId": "d3d4a9fb-ac47-426b-c1e4-824786983c1b"
},
"source": [
"# first run\n",
"\n",
"print(\"lr acc\")\n",
"\n",
"for candidate in candidates[:5]: # limit to 5 candidates per step\n",
" y = f(candidate)\n",
" print(f\"{candidate:.6f} {y:.6f}\")\n",
" X.append(candidate)\n",
" Y.append(y)\n",
"\n",
"gp.fit(\n",
" np.array(X).reshape(-1,1),\n",
" np.array(Y).reshape(-1,1)-prior_mean)\n",
"\n",
"y_mean, sigma = gp.predict(X_[:, np.newaxis], return_std=True)\n",
"y_mean += prior_mean\n",
"acq = upper_confidence_bound(y_mean[:,0], sigma)\n",
"\n",
"peaks, _ = find_peaks(acq)\n",
"peaks = np.append(peaks, np.argmax(acq)) if np.all(acq != np.argmax(acq)) else peaks\n",
"candidates = X_[peaks]\n",
"exp_impr = acq[peaks]\n",
"\n",
"fig, ax = plt.subplots()\n",
"ln1 = ax.plot(X_, y_mean[:,0], label='mean acc')\n",
"ax.fill_between(X_, y_mean[:,0]-sigma,\n",
" y_mean[:,0]+sigma,\n",
" alpha=0.5)\n",
"ln2 = ax.plot(X, Y, 'r.', label='observed')\n",
"ax.set_xlabel('learn rate')\n",
"ax.set_ylabel('accuracy')\n",
"ax.set_title(\"step 0\")\n",
"\n",
"ax2 = ax.twinx()\n",
"ln3 = ax2.plot(X_, acq, color='tab:orange', label='acquisition')\n",
"ln4 = ax2.plot(candidates, exp_impr, 'g.', label='candidates')\n",
"ax2.set_ylabel('expected improvement')\n",
"ax.set_ylim([ax.get_ylim()[0], ax2.get_ylim()[1]])\n",
"\n",
"lns = ln1 + ln2 + ln3 + ln4\n",
"labels = [ln.get_label() for ln in lns]\n",
"ax.legend(lns, labels)\n",
"\n",
"fig.tight_layout()\n",
"fig.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"lr acc\n",
"0.020000 0.875400\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"id": "-uXA8hwGmgpe",
"outputId": "aec0246b-6f0d-4754-e1df-d99b9d440573"
},
"source": [
"# next runs\n",
"\n",
"print(\"i lr acc\")\n",
"\n",
"for i in range(1,10):\n",
" for candidate in candidates[:5]: # limit to 5 candidates per step\n",
" y = f(candidate)\n",
" print(f\"{i} {candidate:.6f} {y:.6f}\")\n",
" X.append(candidate)\n",
" Y.append(y)\n",
"\n",
" gp.fit(\n",
" np.array(X).reshape(-1,1),\n",
" np.array(Y).reshape(-1,1)-prior_mean)\n",
"\n",
" y_mean, sigma = gp.predict(X_[:, np.newaxis], return_std=True)\n",
" y_mean += prior_mean\n",
" acq = upper_confidence_bound(y_mean[:,0], sigma)\n",
"\n",
" peaks, _ = find_peaks(acq)\n",
" peaks = np.append(peaks, np.argmax(acq)) if np.all(acq != np.argmax(acq)) else peaks\n",
" candidates = X_[peaks]\n",
" exp_impr = acq[peaks]\n",
"\n",
" fig, ax = plt.subplots()\n",
" ln1 = ax.plot(X_, y_mean[:,0], label='mean acc')\n",
" ax.fill_between(X_, y_mean[:,0]-sigma,\n",
" y_mean[:,0]+sigma,\n",
" alpha=0.5)\n",
" ln2 = ax.plot(X, Y, 'r.', label='observed')\n",
" ax.set_xlabel('learn rate')\n",
" ax.set_ylabel('accuracy')\n",
" ax.set_title(f\"step {i}\")\n",
"\n",
" ax2 = ax.twinx()\n",
" ln3 = ax2.plot(X_, acq, color='tab:orange', label='acquisition')\n",
" ln4 = ax2.plot(candidates, exp_impr, 'g.', label='candidates')\n",
" ax2.set_ylabel('expected improvement')\n",
" ax.set_ylim([ax.get_ylim()[0], ax2.get_ylim()[1]])\n",
"\n",
" lns = ln1 + ln2 + ln3 + ln4\n",
" labels = [ln.get_label() for ln in lns]\n",
" ax.legend(lns, labels)\n",
"\n",
" fig.tight_layout()\n",
" fig.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"i lr acc\n",
"1 0.003355 0.903700\n",
"1 0.003355 0.903700\n",
"2 0.000001 0.561200\n",
"3 0.012440 0.889000\n",
"3 0.030000 0.852100\n",
"4 0.007480 0.905600\n",
"4 0.016802 0.880900\n",
"4 0.025707 0.874100\n",
"4 0.025707 0.874100\n",
"5 0.005413 0.903100\n",
"5 0.015209 0.890200\n",
"5 0.022743 0.873000\n",
"5 0.027885 0.861300\n",
"5 0.005413 0.903100\n",
"6 0.004921 0.902200\n",
"6 0.012539 0.888200\n",
"6 0.023148 0.875300\n",
"6 0.004921 0.902200\n",
"7 0.004846 0.902200\n",
"7 0.013571 0.888000\n",
"7 0.004846 0.902200\n",
"8 0.004816 0.909700\n",
"8 0.010868 0.891400\n",
"8 0.004816 0.909700\n",
"9 0.004837 0.903500\n",
"9 0.011303 0.891700\n",
"9 0.027174 0.870800\n",
"9 0.004837 0.903500\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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sdpfhvTljs1g4aQQeVy9TmmXvmnJJm/8NGoKxx8PsL8KUpZA1JlZvqXeq0FIdDjw7uwaiul3QWtP1+PRCE2Ryx0PuBNP25CzwpPNW/U4WP/NtfCE/HoeLl87+Iwuyx5nXaK2FhjKo2QE1280tFB5azSqGiafB5DNh/KmfiD247FBo7NgAlWCGZIB64QZY9XvarlrH/7xZz19XlTJ7dBbLTpnIp2ePjFuz2gNBXthYybbK5s7H8ta+j++ll3kmbyoNc+dxxvSu6e7ZqW7OmF54+DJJHRr3wdpHTXJI9Wbz2Ijp5gt69LHmljNuYKtT+NtMGnzdbqjfDXWl5mdtqQlCvoPvFXGYoJMTDkC54w/+njOu1yHKqL94/W1QsRb2robdq2Dnq+BrAofLBKmjzofpnzHBbzgIhUwyUNN+3tr1Cotf+uHBodAlv2dBySmQXQyeKP4bSjCJFmxtgIrmxUWWArdj9hu5S1VvOeT5EswuuiOAWuASVS0PP/dV4Nrwob9U1XsPd60hF6CCfvjNDBhzHNt3zqPuvr/xxMQTyP7+t/nWokm97347CN7fXcsb22oo3PAB5//4Mpx+H36nm4sv/CXbJsziU7NGdla2ABNPZo4yVSl6TEePpArVW2D7C2aequxdCHjNc0mZJhjkjDNfWql5kJJjqlU4k8w8joR7bP5Wk6rvawZfC7QegOZqaKkyP5srze+RXMmQXRIRfDoC0HhzPVf3BXhjKug3n8G252DDEyaAOj0w+SyYc5HZj2sorS9r2Gv+Xfd9aOYjqzaB3/w/2vNQqJjPv3AmlJwE40+GwlngSLCEY1Xzfva+z1ulr7B4/f34NGh6zafdzIJjvx7Xyio2QPX2wiJOzI6NZwLlmB0bL4rcdVFEHgP+rar3isjpwOWqeqmI5AKrgXmYAf73gWNVtcec5SEXoDb9Gx75MsHsy3D84HedD+++6TeMu+YHcWxYV2W1rVT85Hrm/eU2HKEQIYeT5y78Dj+afDYt7QFOnjyCOWOyugz5pXicnDgxj6NGZfUtwSPoh6qNsPcD87NjiK2+DILt0b+OM8kMw6WPgLQC8zOrGHJKTFDKKTHPJ3L9QFXY+z6sf9zcmitNm+denLjzd6EQ7PsAtj5rbvvXmcdTcqDwKCiYYf4IyCjirdYqFj/3PXyhgPlSP+NWFqQVmX/z6s0mqNWGdxDPHA0zPw+zLoBRc+P3/sAMz75/j/kDomEPADc7AlynrQQxf4n/QpO4xpkJ086GhVfDyNmD3kwboHp7YZEFwHJVXRK+fw2Aqt4cccwGYKmqlon5hmtQ1UwRuQhYpKpXho/7E7BSVR/u6XpDLkA9+EXYv5amp0aR/uorCCYS65ln4Xj+uXi3rovWV1/Hs+QsHH4/Qbebx391D7smz+b5jZXsOtBCSV4qZ0wrJD25a68vP93DiZPymThiAObS/G1mTVVbHQR9Zg5L1dzcKWZYyJMO7lTwpCV28OmrYMD0Mj+4D7Y+BxqEcSfDMV81Q4DxTN/3NsLOV0y7tj5neq/ihOITTI9v8hKTDNLNv0evw2INe2HXq7DxX6aKfshvkkqO/6bZl2wwe7n7PoLXbzV/WDqcpor/9HOgeAFvtVay+P4z8QV9eJweXjrzNhbU7DRD2N4GmHsJLL1pUIdqbYDq7YXNdsFLVfUb4fuXAser6ncjjnkIeEdVbxeR84DHgXzgciBZVX8ZPu46oE1Vbz3kGsuAZQAej+fY9vY+/JUdT81V8OupsPAHvPS0cPpt13c+JX/6EyxbFsfGdS/45ip2P/4075bMpmLG0cDBLL83th/A4RAWTRnRbY3Aoqxk5o/PZUJ+2oAtNo639kAQry9kqscHQgRCSjAUIhT+38khZs2Y2+kgyeUgye0k1ePsUpC3Xxor4KMHTbCq3w1JWXDUeTD3yyYbcDA+39qd4YD0LJS+aQJHcrZJ8Jiy1Hx5p+YO7DVba2HdY/DuCpNckjEKFv4AjvkKuJN7P7+/Givg5V/ARw+ZxJV5X4fjr/xY1mW3wbat3pQwe+sO0wv80gOD1gO0Aaq3F44uQI0C7gDGY/a8Px84CvgGUQSoSEOqB/XOn+D/fkTFl1fyredbmf7vh7myeg3FV1yK48rEC06RtlY28cLGSnyBg1t61Lf6eH5jJRUNXsbnp7Fo6ggykz8+V5KX7mHOmGymjcwgyZXYa4GavH7qW/00tJlbY5ufJm+A5vYALe0BAqH+/X+T5HaQkeQiM8VNdqqH3FQPeeke8tOTes+CjBQKQelr8NHDpocRaDPbtMy92FSXzynpV/u6FWiHPW+bXtzW5+DAVvP4iGmmlzRlKYyZD85BmDcNhWDHS6by/55VJlCdfLUJVK6k3s+Plr8NVt1hiiEHfXDCt+CUH/avF1T2Hvz9cpPJ+YW/wtSlA9fOHkQToAYzR6C/4jrEd8jx6cBmVR0z7If4/nIW+Fr45wmP8OPH1zEuL5XffHEuR40eGtladS0+nl5XQXXTwR5rSJWP9tTz1k6Tkn3cuFyOKem6IWIHj8vBxBHpTCvKYGxuKs4YL0TuSTCk1Lf6qG2JuLX6qG/1dwnAg0EEclI9FGYmMzIrmZHZyYxIT4qux+lthI1PmL/y97xlHiuYab4IJ54Oo442w57RCvjM/FH5e2b4btdrJhHF4YZxC2Hqp0ziRjx3VFY1w3+v3GzW12WONhVLjr70yIb+VGHDP0yGbUMZTP+s2fMsd8KRtbepEh7+kvlcv3gfTPv0kb1eL3oLUIOdI9Dv9xHDAOXCfACLgb2YD+BiVd0QcUw+UKuqIRG5EQiq6vXhD+B94JjwoR9gPoDanq43ZAJU/R747Sz8i67jW7tP5cVNVXx1QQnXf3Zm3L6o+yMQDPHatmrWlDV0ebyxzc9r26rZUd1CVoqbhZPymTii56G9JLeDktw0inNTGZ2TQk6qe8CHAb3+IPWtfupafdSFg1BtiwlEwX72hAZDktvB6OwUxuamUpybSn56FD2E2p2w+Rkz/LZ7lZmvEicUzoD8qaZnlTHSzNW5kkzvqL3JZDl2rAOr2mh6DWCyKCedCZMWm3mvRKsCogo7V8LKm6HsHcgaa3o6c7/c94zHve/Ds9eY1ymaBUtuNlmEA8XbCPd/zgSpi/5mPtMYiSJADWqOQL/fR4zTzM8GfovpQt6tqjeKyM+B1ar6ZHgY8GZMFH4N+I6qtofP/RrwX+GXulFV/3q4aw2ZAPXGbfDictZ94TUuf8KkPt/55WM4bnxenBvWP9urmnlxUyVtvmCXx3fXtPDq1mrqWv0UZCSxYEIeJXmpvQafJLeD/PQk8tI8ZKe6yUh2k+pxkux24nE5cDkEQVCUYEgJBBVfMITXH6TNH6SlPUhze4AmrxmSa2jz0+YLMnLjh4xZ8y7lc+Z3zqH1lari9ZtreQNBvP4Q7f4ggZASUiWkpicpgMvpwO0Q89MppHpcpHqcpHicOPoZgNOTXBTnpVKSl0pJblrvqfxtdSZtvfw98+VbswMayk3QOpQ4IXusSbMvOupghYt4LqDuC1Uz9PfKzWZdWXax2fpl1gW9r6va96GZK9r0FKSNgMXXmwAXi5JUbXVwz2fNOrxvvAAF0wf+GoCI+IB1EQ+tUNUVEc/HPEdgQN6HXag7yO5cCO5kfjnyd9z1+i7OmlHA7y46pt97PCWClvYAL26qZGd1188/FFI272/inV01NHoDFGQkMXdsNpML07sd+ouVkRs/7FzHFXR7ePxX9/QYpIIhpaHN3znk1xgOdB0Br79zTx0EsxGkmYNyk51iAnFumoecVE/UvWgRKMpMpiQvjXH5qRRlJkfX8wwGzGJZf6upI+hONmvOkjIHZw4p1lRh2wvwyo1Q8RF4MmDmuTDhNBg5F9LyzHKGulIzr7bhHyZAJWXB8ctMvchYV/Fo2At/Ps2sxbviFdOmARZFD2pQcwT6axj8FzmE1O6EynU0LfoZb645gMfp4Nw5o4d0cAJIS3Jx7tzRbNjXwKtbq2n3m/kbh0OYMSqTqUUZbKxo5MM9dTy/sZI3th9g+shMphZmkJ/uiXlm35g17+L0+3CEQuD3m57UtLld5p9qwj/rWn1ExqBUj5OMZBd56UmMz08jPclFisdJssv06pLcDtwOByLm/TrEfEcGQkogGMIfVHyBEK2+AK2+IK0+08NraPOzp7aVTe0HC/Q6HUJemocRGUmMSE+iIDOJERlJ3QZzVaho8FLR4OXtnTUku50U55re1dicVLJSexjecrogvWCgP+LEIQJTzjIZhaVvmFTvDf+CDx/o/viRc2DJTWbuarDKS2WNhgsfgr+eDY9+Bb7yRDwWYO8FxkbcHxN+rJOq7gPOg84cgfNVtV5E9gKLDjl3ZSwaaXtQg2nVHfD8T3n97Bf52r+qmVyQwT1fO46CjBimyQ6ylvYAr26t7lIZvYOqsqe2lTXlDZTWtKAKeWkeJoxIY2xOKiOzkwe8Z6WqZH20mkuv+zrOgB+/0823LvsVr+VNJhjx335WiunF5KZ5yAv/zE3zHHlaeC/8wRD1rX5qWto50OSjqtnLgSYfbX4zDOd0CAUZSYzKSqEoyyRQRFNAODPFzejsFEZnpzAyO5m8tNj/IRANVaU9EKLdH6I9GMQXMEE8GDKp+qEQaLj4rkMEp8PcPB3p+i4nyR5H37JAgwGoXGeqlrTWmLm3jJGmpFY8i/SueQT+ucxsRXP2/wzoS0fRgxrUHIF+vw8boAbRX89G2+r4j9w/8K+P9nHFyeP56adnxLtVMbGnppWVW6uoafZ1+3yrL8D2qma2Vjazr6ENVXA5pLP3MCIjicwUNxlJLtKSXLid0u0XbDCktPmDtPmCtPoCNIbnnTpvrX58wRDH7N3ECXvWsXbSXMqnzSUvPM+Vl+YhZxACUV8UbfiAgg/e5sMJc1lVMJmKBi9Vje2dATUrxc2orGRGZqcwKiuZ3CiCj8flYER6EvkZHnLTkshJdZOVYub4jjQ5p2NNWKvf9BLbfEFa2gO0+oO0tpt/l45/I68/RGgAvnM65vXSk12dafuZyW4yU1xkJrvJSHbh6se/aSAYMvOYPrOcoNUXxOs3gTQQChEKJ3c6nUKS00GKx0lGsvnjJjvF3fetcZ77qVkndc4dcMylfW5vT6JMMx+0HIF+vw8boAZJSw3cOomGed/jsxsWUdfq44GvH8+csfGr1xVroZCybm8D7+yqoaW9m4n5sPZAkL11bZTVtVHVZHoQvmDXNG+TeCCdPaxgSAmqdpuF5xDTg8hKcZOd4j4YjNI9A77+quMvfIcIEh7eC6lJ3ujPF3FP82WBUIjqpnYq6r3sa2hjX723s5eV7HJ0BqtR2SkUZCRF/eUsAinhRcRJbidJLgcuhwOnw7wfgc7kj45hS18g1JmY4vWHEjITsuN9pSe7SPO4zHCs6+D7CqkJRu2BUOcfNy3h4NpfbqdQkJnM2JxUJoxIozAzipGRYAAe/ALsfhMuewbGHtfv60caLgt17RzUYNn2HGiI1cknUFbbyvETcpk2MiPerYoph0OYMzabGaMyWVtez/u767oNVEkuJxNGpDMhXBJJVWmMSExobg/gD8/nBIIhJGLox+0UUt1mXijF4yQjyfxV3d9MuQ4el6MzicH0NExPLi3JSYo7nFXodBz2L+ZAsOOLPESbP0hru/kSbA6/t0av6eVFfibdzZdVzDgal8PByKwURmalcAw5qCr1bf6IgNXGrgPmDzSnCAWZSYwKB62R2SldNpuMpErn3Nhw0vV9DU6FGX9Q2VvXxt66Nt7eWUNWipvpIzOZNSar5+LPThd84W6TNPHIJbBsJWTGbyeDRGN7UIPlkUvQ8vf5Ru49vLTlAD87ZwZfPTGOCx3jIBAMsXl/E2vK66lqTIyyVE6HkJtmKjmMyEgiP93MPWV0UwkjVtoDB9dp+V5/k5mXnodE1D2MNi2+1RegosHLvvo2Khq8VDZ6OxM+clM9jMo2PayRWclkpXS/3mwg0vET2VFPP8LkN55n28KzWP/pLw3KNZ0OYWpRBvPH5ZKT1sMi4soNcNeZZr3aZU8fcVWM4dKDsgFqMPi98N8TaJ72Bc7Yci4hVR69ckHvO9EOY5WNXjZWNLKtsumww38DyeUQ8pQse/IAACAASURBVNKTKMxMoiAjmYJMM/TXn7mKmHrrLVi5ksDJp3Bg1rFUN7VT3ew1P5vaO3c87k0gGKKysb2zh1XR4KU9XCEj1eNkRHpSZ5ml/PQkZu5ezxev+VpU6fjx4A+a4bg2f7Bz3VvHvFabP9i5Js3cQgSCZgg4pIqI8Pn3nubap27vfL3/Oe9qnj/xHDwuBx6Xg1SPk7QkF+kRtz6Vn+qFQ4SZozI5cVIeqZ5uelQb/2Wy+qZ9Bs5b0bfqH4cYLgHKDvENhj1vgb+FNanHs7/Ry6lT8imOZmO/YawwM5nCzGQWTRnB/kYvpQdaKatrparRG/UX8OGkJ7nIS/eQl256RQUZJplgSFTrWLAAFizABRRhiu2CKYMVCil1rT4qG9upbPJS2WACV3frs1xOB6NzUhidY6qdqyo1LT721bexv8HLgWYf5WUNnckX3377WcTnw6EhQn4f8upKtuVNIj3ZRYrbDKF6nI4ByQYMBEPhQBM6GHB8EYEn4rmOx3tagybQmfLvcph5SpdTSPGY+w4RFFi65c3O4xU4Ze2r/G3uUjOnFp5XO1R6koucVDc5qSaZZkRGEgUZSf1KqgmpmZPdWtXESRPzmX3INjXMOBeW3mKqWfxhAcw4xyw0Hjmnz9caLmyAGgw7XgaHm4cri4FGls4c2fdsn2FKRDrnVhaQRyik1Lb6qGn2Ud/qozmcSdUeCBEImmrhInSmHie7HaR4XKQnmWyqrPAC2EQvRttfjnAvMC89iRmYdTvBkHKguZ394XVRFQ1t1Lf6P3auiHT2lmaHC0SEQmYu60BzOw2hkwisegQCfvwOF4+kTeSD9fu7vIbTIaREVPVwOx3h5JWD/z2rhreO6Uys0PAcoplH9AdDh13w7HE5TEB0O0lPcpGf7um8n+I5OAfY8XuSK7qgWf+pc2Drajqu3PTpc7n0hINFdf3BEC3tZs6zud1khNa3+Khr9bN5f1NnABMgN91DYUYyo7JNUkRmSvRDwu3+EC9vrmLL/ibOnFHYddjvhG+ZfbNeuQne/qMpyPsJDlB2iG8w3LkQnyeTRdX/Sbs/xJNXLWR0dhz38LGGvVZfgH31Zj5qX30bVU3tUWXbRc5BlU6ZTWNboDNlvC2c5dbqD+APHBxG84d/wsHdPgSTAtgRxNzOjp/m92R3RKBxO0l2O0gO349lL7e/c1CqSosvSFWjt0vv1RseMs1KcTMmJ6VzsXS0fyC5nWI2/RzgbN5EGuITkV+p6o97e6zbc22AirGmSvj1FLYcdTVLVs/jlMn53Pu1+QmxaNL65PAHQ1TUeymvb6W8zgzxJWJ6+EDxuBzheo4eMlNcpHrCa+kQAiEzl9XkDVDb4qO6ub1f1etVldoWH2V1bZTVtlJe34YvEMIhdKaaTxyRHtXC6nH5qZw5o6jnbL8+SrAA9YGqHnPIY2tVtdethu0QX6ztXAnAv5qmAnDmzEIbnKxB53Y6KM5LpTjPzH12Bqw6M/e3v6F9QBbQxoMI5KUnMTo7mZFZKRRlJpPdh6r4ofAQ6Z7aVnYdaGFfvTeqz0Lk4HDr3LHZhELK/kYvO6tb2F7dzCtbqnllSzWjs1OYPjKDSQXpPfasSg+0cv9buzllSj4zRw2NbXd6IyLfAr4NTBCRtRFPZQBvRvUatgcVY/+4ktD2F1nMCmrbgjz13ZMozkuIP2wsq5MvEGJffRvldW2U17VS2Zi4AcshpuLI6JwUxuSYck4DWc+yzRdke1Uzm/c3srfeVDnpq47e1fbqZjbvb6K+1Y/TIUzMT2P6qExKcnuu7D86O4UFE/MYewSJVInQgxKRLCAHU43iJxFPNUVbFskGqFhShVunUFO4gPmbL+Tosdk8euUCmyBhJTxfIMT+BrMIuKKhjf0N7Xj98VnM63E5KMxM7qyUMTI7edCSYBq9fjbta2RjRWO3iSfRUFUqG9vZtL+RrZVNeP0hslLczB6dxYxRmT0G16OLs1k0tX+FfRMhQEUKb5BYSMSonaru6e08O8QXS1UboaWKt5lFMKScNCnfBidrSPC4ug4Jqir1rX6qwmuxDjS3U9Pio8nr71cPoyfpSS6zcDqions8C91mJrs5fkIe88fnUl7XxoZ9DWyrbO7TtisiQlFWMkVZyZwyeQQ7qptZU1bP69sP8NbOGqYWZXD02GzyDtmQ0usf3F2dY0VEvgssByqBjjelgJ2DiqtSM8z6r4aJuBzCkpmFcW6QZfWPiJATLqw7tehgia5AMERDm59Gb4Bmb4CWcGHYdn8QX7g0Vcd3uSNieUBSOGsv1WMWxGamuMhKSdzlASLC2NxUxuamsmhqkM37m9iwr6HPFVGcDmFKYQZTCjOobmpnbXl9+LUamZCfxrxxOYzMGnYZvv8BTFXVmr6eGOsddZcCt2Oq5d6lqrcc8nwxcC+QHT7mJ6r6jIiMAzYBW8KHvq2q3zzctRJyiO/RrxAoW83RTbdRkJHE/33/lAFdmW5ZVnxVNXnZuK+RLfub+l3PsM0fZE1ZPWvK6vEGQozJTmHeuBy+FChnQdl6WLTILN7ug0Qa4hORV4AzVTXQ13Nj1oMKjzn+L3AmUA68JyJPqurGiMOuBR5V1TtFZAbwDDAu/NwOVZ0bq/bFnCrsXkV59gk0VQdYelSRDU6WNcwUZCRTMNUM3e2ubWXL/iZ2Hmju3LQzGiluJydMyOOY4hzW72vgwz317Hn6JY5+5Fo0FEA8HnjppT4HqQSyE1gpIk8TUblXVX/T24mxHOKbD2xX1Z0AIvI34FwgMkAp0LGNZRawL4btGVwHtkFLNa+nmfTys6bb4T3LGq4cDmF8fhrj89MIhpSy2lZ2Hmhm14FWGtuiS67wuBwcU5zD7DFZjN/wL1wBP6Ih8Plg5cqhHKD2hG+e8C1qsQxQo4GyiPvlwPGHHLMceF5ErgLSgDMinhsvIh8CjcC1qvr6oRcQkWXAMgCPp0/vO/Z2vwHAM40TyEv3cNz43Dg3yLKsweB0COPy0zqLQde1+Civa2NvfSsVDd5eswFdDgeBk09F/v1XNOA3PahFiwah5bGhqj8DEJFUVW3ty7nxTpK4CLhHVX8tIguA+0XkKKACKFbVGhE5FnhCRGaqamPkyaq6AlgBZg5qsBt/WKVv4k8t4N36bI4bl052aoIFUMuyBkVHcsmsMWYBrtcfpKqxnerm9nCl+nZqm31d1p1VzDia9+56jBPK1vVrDiqRhL/b/wKkA8UiMge4UlW/3du5sQxQe4GxEffHhB+L9HVgKYCqviUiyUC+qlYRHqtU1fdFZAcwBVgdw/YOnPD80660ownWwgnj8+LdIsuyEkSy29klhR9MZY/9DV5Ka1rYsr+JJm+A+rnz4JLPxLGlA+a3wBLgSQBVXSMip0RzYixn7d8DJovIeBHxABd2NDDCHmAxgIhMB5KBahEZEU6yQEQmAJMxE21DQ90uaNrHqsAURGDxjP4ttrMs65PB7XQwNjeVkyeP4GsnjWfJzIGry9cTEVkqIltEZLuI/KSb54tF5BUR+VBE1orI2eHHx4lIm4h8FL79sbdrqWrZIQ9FlfIYs09AVQPhBVrPYVLI71bVDSLyc2C1qj4J/CfwZxH5ASZh4jJV1XB0/bmI+DELu74ZbWmMhLDnHQCeb5pAUWYyUwqH99bulmUNHIdDmDEqs/cDj8AgZ1mXiciJgIqIG/g+ZhlRr2IaolX1Gcybinzs+ojfNwIndXPe48DjsWxbTJW/S9CdwdtNIzhtWmbCLj60LOsTazCzrL+JWQ87GjPN8zzwnWhOjHeSxPBU/h5lqTMINTk4caKdf7Isa9C5RCRyzn5FOKmsQ8yzrDuo6gHgy31/CzZADTxfC1Ru4P20C3E5hNOm2fkny7IGXUBV5x3haxxRlnUHERkPXIUZHowsFntObw2wAWqg7fsQNMSrreMYnZNCid1aw7KsxDOYWdZPYNLMn+Jgsdio2AA10MrfA+C11hIWTMiM6fbVlmVZ/dSZZY0JTBcCFx9yTEeW9T2HZlkDtaoajDLL2quqv+tPI22AGmhl71GXXEy9N4Pj7fony7IS0CBnWd8uIjdgkiMia/F90Fs7bYAaSKpQ/h4bHbNxinDq1Px4t8iyLKtbg5hlPQu4FDidrvtBnd7biTZADaT6PdBSxSrXBAqzkijOtfNPlmV94l0ATFBVX19PtPs/DKTw/NOrreOYWphh558sy7JgPWbPvz6zPaiBtPcDAo4kNofG8Klxtnq5ZVkWJjhtFpH36DoHZdPMB1XFGso8Ewi0ujh1yoh4t8ayLCsR3NDfE22AGiihEFSsYY0uJC/Nw9QiW3/PsixLVV8VkRJgsqq+KCKpmMzBXtk5qIFStwt8TbzrHcvEEem4nfajtSzLEpErgL8Dfwo/NBqzeLdX9lt0oOz7EICPAuOYM7Zf84GWZVnD0Xcw6eqNAKq6DYiqBpwNUAOlYg0BcbNNx3DSJLtA17IsK6w9MsVcRFyYdVC9sgFqoFR8RKlzHE6Xh2NLcuLdGsuyrETxqoj8F5AiImcCj2Hq8vUqpgGqvzs2hp+7JnzeFhFZEst2HjFVtGINa4OmQGxGsjveLbIsy0oUPwGqgXXAlZjqFddGc2LMsviOZMfG8O8XAjOBUcCLIjJFVaPaJnjQ1ZUi3gZW+4uZZrP3LMuyIn0OuE9V/9zXE2PZg+rcsTE8/tixY2OknnZsPBf4m6q2q+ouYHv49RJTxRoA1oXGc3SxHd6zLMuK8Flgq4jcLyKfCc9BRSWWAaq7HRtHH3LMcuASESnH9J6u6sO5iaPiI4I42apjWDjJFoi1LMvqoKqXA5Mwc08XATtE5K5ozo13kkTHjo1jgLMxOzZG3SYRWSYiq0VkdSAQiFkje1WxllJnMckpaUwutEN8lmVZkVTVD/wfZiTtfcywX6+iCgYi8g8R+XRfggfR79j4KJgdGzEbYuVHeS6qukJV56nqPJcrfkUxtHID6wNjGZeXagvEWpZlRRCRT4nIPcA24HzgLqAomnOjDTh/wOy2uE1EbhGRqVGc07ljo4h4MEkPTx5yTMeOjUTu2Bg+7kIRSQrv+DgZeDfKtg6ulhqkeT/rAmOZMSqz9+Mty7I+Wb6CqRwxVVUvU9VnVDWqIa+ouh2q+iImky4LMyz3ooiUAX8GHgh33w49p987NgIbRORRYCMQAL6TsBl8VRsA2KJj+bytYG5ZltWFql4kIoXAmSIC8K6qVkVzrph4EMWBInnAJZidEfcBDwILgVmquqgf7R5QaWlp2tLSMvgXfvtOePYnzG//A0/+5DyKslIGvw2WZVkRRKRVVRNix1QRuQC4FVgJCHAy8P9U9e+9nRvtHNQ/gdeBVOCzqnqOqj6iqlcB6f1t+LBQuZ56yYS0AhucLMsaMgaxkMK1wHGq+lVV/QpmydB10bQx2syC36nqK909oarzonyNYSm0fyObQsWML/pkx2nLsoaOQS6k4DhkSK+GKDtH0SZJzBCRzhLdIpIjIt+O8tzhKxSEqo1sDI5l2kibXm5Z1pAxmIUUnhWR50TkMhG5DHgaE+x6FW2AukJV6ztbrVoHXBHlucNXXSmOoJfNOpZjbQUJy7KGjkEppCAmK+J3mL2gZodvK1T1x9E0MtohPqeISDjDrqN76Iny3OGrcj0Am0PF/OcEm8FnWVbCcInI6oj7K1R1RR9fo6OQwq9FZAGmkMJRfXkBVVUReUZVZwH/6OP1ow5QzwKPiEjHjohXhh/7ZKvcSAihNmU8RZk2QcKyrIQR6CU/INpCCkvBFFIQkT4VUojwgYgcp6rvRdv4DtEO8f0YeAX4Vvj2EvCjvl5suNHK9ezWIgrz7fCeZVlDymAWUjgeeFtEdoSzAdeJyNpoGhntQt0QcGf4ZoX5961jY2gs04psBQnLsoaOQS6k0O/9/KJaqCsik4GbgRmYKAqAqk7o74UH2qAv1PW1oDeN5jb/+Yz9/A1cMK948K5tWZZ1GIm0UBdARI7BFHZQ4E1V/SCa86Id4vsrpvcUAE4D7gMe6Ec7h48D2xCUbTqa4yfYLTYsy7K6IyLXA/cCeZg5rL+KyIDuqJuiqi+FM/l2A8tF5H3g+n61eDio3gLAfk8JxbmpcW6MZVlWwvoyMEdVvQAicgvwEfDL3k6MNkC1h7fa2BYet9zLJ73E0YEtBHCguQkzymlZlpWI9mGmhrzh+0kcPuuvU7QB6vuYOnzfA36BGeb7at/aOLx4KzaxN1TIhCKbwWdZlnUYDZjEihcwc1BnAu+KyO8AVPV7PZ3Ya4AKL8r9kqr+EGgGLh+QJg9x/v2b2aZjmD06K95NsSzLSmT/DN86rIz2xF4DlKoGRWRhPxo1fAV8pDXvZrvO4tQS24OyLMvqiare299zox3i+1BEngQeAzpzuVW1z6UrhoXanTgIUipj+NZIuwbKsiyrJyLyGczUUAkm5gimClKvX57RBqhkTIn00yMeU3qprSQiS4HbMQvB7lLVWw55/jbMfBaYOa4CVc0OPxcE1oWf26Oq50TZ1tg7YDL46tMm4HRGm6lvWZb1ifRb4DxgnUaz8DZCtJUk+jzvFM1+I6r6g4jjrwKOjniJNlWd29frDoZQ5WazgCxvUrybYlmWlejKgPV9DU4QZYASkb9iekxdqOrXDnNa534j4dfo2G9kYw/HXwTcEE174q2pfAONoRGMH1UQ76ZYlmUluh8Bz4jIq0B7x4Oq+pveTox2iO/fEb8nA5/n4OZVPeluz5DjuztQREqA8cDLkdcJl4sPALeo6hPdnLcMWAbg8Qze7h/Bqi1s11HMGZPd+8GWZVmfbDdiMsCT6eM2TdEO8T0eeV9EHgbe6MuFenEh8PdDCg6WqOpeEZkAvCwi61R1xyHtWgGsAFOLbwDb07NQkIzmnWzXMzhnvN0DyrIsqxejVLVP+0h16O8M/2Sgt/GtvuwZciHwcOQDqro3/HMnJm/+6I+fFgf1e3CrjzJXMYWZyb0fb1mW9cn2jIic1Z8TowpQItIkIo0dN+ApzB5RhxPNfiOIyDQgB3gr4rEcEUkK/54PnETPc1eD68BWAJozbIkjy7KsKHwLeFZE2sIxpCkcR3oV7RBfRl9bFOV+I2AC198OyfCYDvxJREKYIHpLZPZfPPn3b8INOEdMi3dTLMuyEl5/4keHaLP4Pg+8rKoN4fvZwKLuEhcOadgzwDOHPHb9IfeXd3PeKmBWNG0bbLVlm3BqJuPGjo53UyzLshKWiExT1c3hvaA+Jpo9oaLN4rtBVTtrKalqvYjcABw2QA1Hwept7NEi5o61GXyWZVmHcTUmy/rX3TyndC380K1oA1R3c1XRnjuspDWVskuP4jPFNkBZlmX1RFWXhX+e1tuxPYk2i2+1iPxGRCaGb78B3u/vRYes9maygjVUu8eQ6vlExmfLsoYJEVkqIltEZLuI/KSb528TkY/Ct60iUh/xXDDiuY8lvw2UaL9lrwKuAx7BdM1eAL4Tq0YlrFqzDKslvSTODbEsy+q/oVKKLtosvhbgYxH2k8a7fyvJgGPE5Hg3xbIs60gMiVJ00WbxvQBcoKr14fs5mNTwJbFsXKKpLN1ACZA3dmq8m2JZlnUkBqMUXbfZex0GMosvvyM4hV+4TkQ+cZVS2/dvZa/mcVRJUbybYlmWdTiucADpsCJcGq4/+lWKjoPZe8nAPGANZi+o2cBqYEGvbyLKBoZEpFhV9wCIyDi6qW4+3Hkad1EaKuLYMXabd8uyElpAVecd5vm+lqLrknMQWYpORFZi5qcOrZV6GoCI/AM4RlXXhe8fBSyP5k1Em8X3U+ANEblfRB4AXgWuifLcYSPPW0aFazTJbpvBZ1nWkDaYpeimdgQnAFVdj6kW1KtokySeFZF5mEVXH2IW6LZFc+6w0VpLhjZRn1Yc75ZYlmUdkUEuRbdWRO4CHgjf/zKwNpp2Rpsk8Q3g+5hu4EfACZiI2utK4OHCX7UVNxDKsUViLcsa+gaxFN3lmIKx3w/ffw24M5oTox2r+j5wHPC2qp4W7vbd1IcGDnn7dpoMvvRRtkisZVlWtFTVKyJ/BJ5R1S19OTfaOSivqnoBRCRJVTcDn6hc68byTQTUQcnEqIZOLcuyLEBEzsGMvD0bvj832uoT0fagysMVzJ8AXhCROmB3fxo7VGnNDsp0BLNLRsS7KZZlWUPJDZiFwSsBVPUjERkfzYnRJkl8PvzrchF5BcgiHA0/KTJadlPmGMX4ZHe8m2JZljWU+FW1QUQiH4tqmVKf86VV9dW+njPkqVIY2MuapJnxbollWdZQs0FELgacIjIZ+B6wKpoTo52D6pcjrJb7VRHZFr59NZbt7E2osYJUvHgzxsWzGZZlWUPRVcBMoB14CGjgYEbfYcVsxemRVMsVkVzMuOU8TFfw/fC5dbFq7+FUlG5kNOApsEViLcuy+ujTqvpTTMEHAETkAuCx3k6MZQ+qs1quqvqAjmq5PbkIeDj8+xLgBVWtDQelF4ClMWzrYVXs2gRAYYlNMbcsy+qj7qoORVWJKJY1e46kWm53547u5rxlmOoWeDyeI29xD9qqdhBUYeq0GTG7hmVZ1nAiIp8CzgZGi8jvIp7KxFRB71WiFJXrrlpur8LVeVcApKWlxax4rat+NxXkMyYrPVaXsCzLGm72YaqWn0PXHdibgB90e8YhYhmgjqRa7l5g0SHnrhzAtvVJdns5la6RjIlXAyzLsoYYVV0DrBGRfwItHR2QcH5CUjSvEcs5qH5Xy8UUMDwrXDU3Bzgr/FhcFAT305j8sRFGy7Isq3fPAykR91OAF6M5MWY9qCOplquqtSLyC0yQA/i5qtbGqq2H09RQSx6NBLLGxePylmVZQ12yqjZ33FHVZhFJjebEmM5B9bdabvjxu4G7Y9a4KJVu28gsILlgYrybYlmWNRS1iMgxHVu8i8ixRLldU6IkSSSs6j2bAZtiblmW1U//ATwmIvswW74XAV+K5kQboHrhrTa7GBdPsmWOLMuy+kpV3wvnGnTsgLFFVf3RnBvTUkfDgbtxN/Wkk5yRG++mWJZlDTnh+aYfA98Pb/c+TkQ+E825NkD1IqttL1XOong3w7Isa6j6K+ADFoTv7wV+Gc2JNkAdhqpSGKygIcWugLIsy+qniar634AfQFVbMXNRvbIB6jCqG1oYxQGCWSXxboplWdaAGsTdJnwikkJ4DygRmYipbN4rmyRxGDu2b2GBBEkpmBTvpliWZQ2YQd5t4gbMBrdjReRB4CTgsmjaaXtQh3EwxXx6nFtiWZY1oAZttwlVfQE4DxOUHgbmqerKaBppe1CH0ZFiPqJkai9HWpYVye/3U15ejtfrjXdThrXk5GTGjBmD2+0+9CmXiKyOuL8iXFy7Q8x3mzjEqcBCTI/LDfyzl+MBG6AOy92wGx8uPFm2Dp9l9UV5eTkZGRmMGzcOkajmw60+UlVqamooLy9n/Pjxhz4dUNV5A3Spfu020UFE/gBM4mAP7EoROUNVv3OY0wAboA4rs20v1c5CRjuc8W6KZQ0pXq/XBqcYExHy8vKorq7uz+mDudvE6cD0jnqrInIvsCGaRto5qB4EQ+EU82SbYm5Z/WGDU+wdwWc8mLtNbAeKI+6PDT/WKxugerC3toViqbQp5pZlDTuqGgA6dpvYBDzasduEiJwTcWi3u00AHbtNvEfvu01kAJtEZKWIvAJsBDJF5EkR+VhQjGSH+HqwtXQPZ0gbyYW2irllWcPPIO42cX3vh3TPBqgeVO3ZCkD+mClxbollWdaQVh25vgpARBZFk2oe0wAlIkuB2zEbFt6lqrd0c8wXgeWY9MM1qnpx+PEgsC582B5VPefQc2PJe2AXANmj7CJdyzoSP3tqAxv3NQ7oa84YlckNn+15h4HS0lKWLl3KCSecwKpVqzjuuOO4/PLLueGGG6iqquLBBx9k/vz5tLS0cNVVV7F+/Xr8fj/Lly/n3HPPpbS0lEsvvZSWlhYA7rjjDk488URWrlzJ8uXLyc/PZ/369Rx77LE88MADH5sL+vOf/8yKFSvw+XxMmjSJ+++/n9TUVCorK/nmN7/Jzp07Abjzzjs58cQTue+++7j11lsREWbPns39998/oJ9XnD0qIvcB/wMkA/+NWeS74LBnEcMAFc1KZRGZDFwDnKSqdSJSEPESbao6N1bt642j0aT5S3ZxL0dalpWItm/fzmOPPcbdd9/Ncccdx0MPPcQbb7zBk08+yU033cQTTzzBjTfeyOmnn87dd99NfX098+fP54wzzqCgoIAXXniB5ORktm3bxkUXXcTq1WZZ0YcffsiGDRsYNWoUJ510Em+++SYLFy7scu3zzjuPK664AoBrr72Wv/zlL1x11VV873vf49RTT+Wf//wnwWCQ5uZmNmzYwC9/+UtWrVpFfn4+tbVx2Tw8lo4HfgWswsxHdVST6FUse1CdK5UBRKRjpXJkV+8K4H87SmSoalUM29Mnaa37aJE00lKy490UyxrSDtfTiaXx48cza9YsAGbOnMnixYsREWbNmkVpaSkAzz//PE8++SS33norYNLj9+zZw6hRo/jud7/LRx99hNPpZOvWrZ2vO3/+fMaMMdm9c+fOpbS09GMBav369Vx77bXU19fT3NzMkiVLAHj55Ze57777AHA6nWRlZXHfffdxwQUXkJ+fD0Bu7rDb2seP2UE3BdOD2qWqoWhOjGWAimal8hQAEXkTMwy4XFWfDT+XHF4JHQBuUdUnDr2AiCwDlgF4PJ4Ba3gopOQFKqlPKSJtwF7VsqzBlJSU1Pm7w+HovO9wOAgEAoBZ7Pr4448zdWrXajHLly+nsLCQNWvWEAqFSE5O7vZ1nU5n52tFuuyyy3jiiSeYM2cO99xzDytXrhzItzbUvAf8CzgOyAf+KCLnq+oFvZ0Y7zRzFzAZs+jrIuDPItLRZSkJr4S+GPhtuAJuF6q6QlXnqeo8l2vgYm1lo5dRVONNt2ugLGs49siI9wAAGlpJREFUW7JkCb///e/pyKL+8MMPAWhoaGDkyJE4HA7uv/9+gsG+FVFoampi5MiR+P1+Hnzwwc7HFy9ezJ133glAMBikoaGB008/nccee4yamhqA4TjE93VVvV5V/apaoarn0s2aq+7EMkBFs1K5HHgy3PBdwFZMwEJV94Z/7sSsUj46hm3tYnNFA2OkGmeOXQNlWcPZddddh9/vZ/bs2cycOZPrrrsOgG9/+9vce++9zJkzh82bN5OW1rexlF/84hccf/zxnHTSSUybNq3z8dtvv51XXnmFWbNmceyxx7Jx40ZmzpzJT3/6U0499VTmzJnD1VdfPaDvMQG8LyKXiMj1ACJSDGyJ5kSJWH/1/9u78/CqqrvR499fCZAElIKIVcL7Ar0MgRjCFIhMh6HMD5MMUkAoRS9eqVx5+ragAoF7UdpS9UXbC2iBYgsyKINWrQxvCmhQQg1IGByQl7EQAk0zEkh+94+9E48hCYGcQ85Jfp/n2U/22cPaa50NWVl7rb1+PiUiITgVTl+cimk/8GNVTfE6ZiAwXlUni0hD4DMgBigAslX1qrs9ERhefKiitzp16mjhiJuKWrXjAD/Z24fL3eNp0O/pm59gjPmOo0ePEhlpUQDuhJK+axHJVtWA6KEQkf+H8zu9j6pGurNPfKiqnW92rt/6oFT1uogUvqlcA1hZ+KYykKSq2/h2yowjQD7wH6qaJiIPActFpACnlbe4rMrJ1zLOO0NA777fhpgbY0wFdVHVDiLyGYA7Yrtcgwb8+h7Uzd5UdqfPmOUu3sd8DDzoz7yVJf/ySQBCGtgQc2OMqaBr7mtHhZPF3ovTorqpyh4kEZBqZrpdZfYOlDHGVNRSnPhPjURkEbAXeL48J9pURyWod/U8OSF1CAu1d6CMMaYiVPXPInIAZzyCACNU9Wh5zrUKqpj07Gv8QC+SEXo/YRYuwBhjKkxVjwHHbvU8e8RXzBcXM4iQVK7f3eTmBxtjjPEbq6CKOX7+X0TIJWrf07Sys2KM8bGTJ08SFRVV2dm4gcfjKZrrz3zLKqhizv7jPHdJDnV/0Lyys2JM9ZKYCC+84PwMIiVNdWR8wyqoYrIvOmE2rAVlzB2UmAh9+8Lcuc5PH1VSL774IlFRUURFRfHyyy8DToUyYcIEIiMjGT16NNnZ2QDMnj2bNm3aEB0dzc9//nMAUlNTefjhh+ncuTOdO3fmo48+Apy5+iZNmkS3bt2YNGkSXbt2JSWlaA6CohZRVlYWU6dOJTY2lvbt27N161YAcnJyeOSRR4iMjGTkyJHk5OT4pLxVjQ2SKOZ76aecFRtibsydk5AAeXmQn+/8TEiAuJuGCyrTgQMHWLVqFZ988gmqSpcuXejVqxfHjx/nD3/4A926dWPq1Kn8/ve/5yc/+QmbN2/m2LFjiAj//Oc/AZg5cyZPP/003bt359SpUwwYMICjR50BaEeOHGHv3r2EhYXx0ksvsWHDBhYsWMD58+c5f/48nTp14plnnikxnMfy5csJDw/n6NGjHDp0iA4dOlTwC6yarAVVTHj2OWfFKihj7hyPB2rVgho1nJ8eT4WT3Lt3LyNHjqROnTrUrVuXUaNGsWfPHpo0aUK3bk44ookTJ7J3717q1atHaGgoP/3pT3n77bcJDw8HYMeOHcyYMYOYmBiGDRvGv/71LzIzMwEYNmwYYWFhAIwdO5ZNmzYBsGHDBkaPHg044TwWL15MTEwMHo+nKJzH7t27mThxIgDR0dFER0dXuLy3SkQGishxEflKRGaXcsxYETkiIikistZre76IJLtLuSZ+vR3WgvKSey2fhtf/QW6tcELD6ld2doypPuLiYOdOp+Xk8VS49VSW4tFvRYSQkBA+/fRTdu7cyaZNm3j11VfZtWsXBQUF7Nu37zvhNgp5TyDbuHFj7rnnHg4dOsT69etZtmwZUHo4j8oWLAFlrQXl5b8vZREhl8gJbwz2DpQxd1ZcHMyZ47PKqUePHmzZsoXs7GyysrLYvHkzPXr04NSpUyS6fVxr166le/fuZGZmkp6ezuDBg3nppZc4ePAgAP379+eVV14pSjM5ObnU640bN45f//rXpKenF7WISgvn0bNnT9audRokhw8f5tChQz4p8y0oCiirqnlAYUBZb5UeUNYqKC/H/uG8A8X37R0oY4Jdhw4dmDJlCrGxsXTp0oVp06ZRv359WrVqxe9+9zsiIyO5cuUKTzzxBBkZGQwdOpTo6Gi6d+/Oiy++CMDSpUtJSkoiOjqaNm3aFLWMSjJ69GjefPNNxo4dW7SttHAeTzzxBJmZmURGRjJv3jw6duzo6+KHiEiS1/J4sf0lBZRtXOyYlkBLEflIRPa50ScKhbrp7hOREb7OfCG/hdu403wRbuO3Hx7nsY881OwwnrDhL/ooZ8ZUPxZu4865nXAbIjIaGKiq09zPk3BmHZ/hdcy7OOHax+LE89sNPKiq/xSRxqp6VkSaA7uAvqr6ta/LZi0oLxcvXuBuySa0YdPKzooxxvhTUASUtQrKy/XL/w2AWCRdY0zVth9oISLN3NhMj3BjGPYtgAfADRzbEjghIvVFpLbX9m6AX+L12Sg+LzUzzjgrNsTcGFOFBUtAWb9WUG6n2n/ifAGvq+riEo4ZC8TjBLM6qKo/drdPBp5zD/u/qvpHf+ZVVbk795yT0+9bC8oYU7UFQ0BZv1VQFRlnLyINgPlAJ5yK64B77hV/5Tc9xwmzkfe9MGrZO1DGGFPp/NkHVZFx9gOA7ap62d23HRiIH51IzaKxXCK3jr0DZYwxgcCfFVRFxtmX51xE5PHCcf4VnVH4y4uF70BZ/5Mx5ubmzZvHjh07St2/bNky1qxZA8Dq1as5d+5c0b5p06Zx5Ihfum2qlMoeJBGCM2zRgzvOXkTK/WxTVVcAK8B5D6oiGfk6NYuBkkrte/tVJBljTDWxcOHCMvdPnz69aH316tVERUXxwAMPAPD666/7NW9VhT8rqPKOs/9EVa8B34hI4Tj7s7jDG73OTfBbToFLqRepJ9lgYTaM8a33Z8M/Pvdtmj94EAbdMObqBiNGjOD06dPk5uYyc+ZMHn/8cT744AOeeeYZ8vPzadiwITt37iQtLY3x48dz9uxZ4uLi2L59OwcOHCAzM5OhQ4dy+PBhAJYsWUJmZibx8fFMmTKFoUOHMnr0aGbPns22bdsICQmhf//+LFmyhPj4eOrWrUvTpk1JSkpiwoQJhIWFkZiYyKBBg1iyZAmdOnVi3bp1PP/886gqQ4YM4Ve/+hUAdevWZebMmbz77ruEhYWxdetW7rvvPt9+jwHOn4/4bnucPd8Ob6wvIvWB/u42v7l+xXkHyh7xGVN1rFy5kgMHDpCUlMTSpUu5cOECjz32GG+99RYHDx5k48aNACxYsIDu3buTkpLCyJEjOXXqVLmvkZaWxubNm0lJSeHQoUM899xz39k/evRoOnXqxJ///GeSk5OLZkAHOHfuHL/85S/ZtWsXycnJ7N+/ny1btgCQlZVF165dOXjwID179uS1117zwTcSXPzWgqrIOHsAEfk/OJUcwEJVveyvvALUznQbdzYPnzG+VY6Wjr8sXbqUzZs3A3D69GlWrFhBz549adasGQANGjQAYPfu3bz99tsADBkyhPr1yz+S1ztUx9ChQxk6dGi5z92/fz8ej4d7770XgAkTJrB7925GjBhBrVq1itLq2LEj27dvL3e6VYVf+6Bud5y9u28lsNKf+fO6FndfPW/vQBlThSQkJLBjxw4SExMJDw/H4/EQExPDsWPHyp1GSEgIBQUFRZ9zc3NLPKakUB0VVbNmzaLQIDVq1KiWoeVtqiMgLSuP+/Ui174XCuH3VHZ2jDE+kJ6eTv369QkPD+fYsWPs27eP3Nxcdu/ezTfffAPA5cvOgxnv8Bfvv/8+V644r1zed999XLx4kbS0NK5evcq77757w3VKC9Xh7a677iIjI+OG7bGxsfztb3/j0qVL5Ofns27dOnr16uWz7yDYVfYovoDw1YVMItx3oGraO1DGVAkDBw5k2bJlREZG0qpVK7p27cq9997LihUrGDVqFAUFBTRq1Ijt27czf/58xo8fT9u2bXnooYf4t39z+qJr1qzJvHnziI2NpXHjxrRu3fqG62RkZDB8+HByc3NR1aJQHd6mTJnC9OnTiwZJFLr//vtZvHgxvXv3LhokMXx48ddFqy8LtwG8kXiS9u8Pp2nT5tSdutm3GTOmGgr2cBuFI+8aNmxY2Vm5qdsJtxEs7BEf8M2lLCIkldoWZsMYYwKGPeIDUi+l8n3JggY2QMIYAydPnqzsLBisBQVA/hV3ViV7B8oYYwKGVVBAaGZhHChrQRljTKCo9hVUQYFSL++888FaUMYYEzCqfQV1MeMqD5DKte/VhjqBP2LHGGOqi2pfQZ25kk2EpHK1ToTFgTLGlCk+Pp4lS5YApYfbSEhIuOl0R8nJybz33ntlHmOsguL0lWwayyWkvs3BZ0xlSjydyAt7XiDxdOLNDw4ACxcupF+/2wvPEwgVlIgMFJHjIvKViMwu5ZixInJERFJEZK3X9ski8qW7TPZXHqt9BXV978f8j+tnCc0Pr+ysGFNtJZ5OpO+avsz9r7n0XdPXZ5XUmjVriI6Opl27dkyaNIl33nmHLl260L59e/r168eFCxcAp2U0depUPB4PzZs3Z+nSpUVpLFq0iJYtW9K9e3eOHz9etH3KlCls2rQJgA8++IDWrVvToUOHoklnAT799FPi4uJo3749Dz30EMePHycvL4958+axfv16YmJiWL9+PVlZWUydOpXY2Fjat2/P1q1bAUhJSSE2NpaYmBiio6P58ssvffK9iEgN4HfAIKANMF5E2hQ7pgUwB+imqm2B/+1ubwDMB7rgRE6f70ad8D1VrRJLeHi43rKPP9ardUNV59+t2quO6scf33oaxpgbHDly5JaOf37381pjQQ0lHq2xoIY+v/v5Cufh8OHD2qJFC01NTVVV1bS0NL18+bIWFBSoquprr72ms2bNUlXV+fPna1xcnObm5mpqaqo2aNBA8/LyNCkpSaOiojQrK0vT09P1hz/8of7mN79RVdXJkyfrxo0bNScnRyMiIvSLL77QgoICHTNmjA4ZMkRVVdPT0/XatWuqqrp9+3YdNWqUqqquWrVKn3zyyaK8zpkzR9944w1VVb1y5Yq2aNFCMzMzdcaMGfqnP/1JVVWvXr2q2dnZN5SzpO8ayNIyfl8CccBfvT7PAeYUO+bXwLQSzh0PLPf6vBwYX9b1bnep3i/qJiRQs+51oBZcvgYJCRAXV9m5Mqba8TT1UKtGLfLy86hVoxaepp4Kp7lr1y7GjBlTNF1RgwYN+Pzzzxk3bhznz58nLy+vKOwGOGE2ateuTe3atWnUqBEXLlxgz549jBw5kvBw5wnLsGHDbrjOsWPHaNasGS1atABg4sSJrFixAnAmrJ08eTJffvklIsK1a9dKzOuHH37Itm3bivq3cnNzOXXqFHFxcSxatIgzZ84watSoomuUQ4iIJHl9XqFOBPJCjYHTXp/P4LSIvLUEEJGPcGI9xKvqB6Wc27i8GbsV1buC8niQtbWc9awQ8HgqNTvGVFdxTeLY+ehOEk4m4GnqIa6Jf/5Q/NnPfsasWbMYNmwYCQkJxMfHF+2rXbt20bqvwlvMnTuX3r17s3nzZk6ePImnlN8xqspbb71Fq1atvrM9MjKSLl268Je//IXBgwezfPly+vTpU55LX1fVThXMfghOhHMPTlTz3SLyYAXTvCV+7YO6WSeciEwRkVQRSXaXaV778r22F4/E6xtxcfDsU876HzZa68mYShTXJI45Peb4rHLq06cPGzduJC0tDXBCa6Snp9O4sfPH/h//+MebptGzZ0+2bNlCTk4OGRkZvPPOOzcc07p1a06ePMnXX38NwLp164r2eV9v9erVRduLh98YMGAAr7zySuEjMz777DMATpw4QfPmzXnqqacYPnw4hw4dupWvoCxnAe+RYRHuNm9ngG2qek1VvwG+wKmwynOuT/itgipPJ5xrvarGuMvrXttzvLbf2K72lQY10JBQ6DXIb5cwxtx5bdu25dlnn6VXr160a9eOWbNmER8fz5gxY+jYsWO5Zirv0KED48aNo127dgwaNIjOnTvfcExoaCgrVqxgyJAhdOjQgUaNGhXt+8UvfsGcOXNo3779d1pkvXv35siRI0WDJObOncu1a9eIjo6mbdu2zJ07F4ANGzYQFRVFTEwMhw8f5tFHH/XBNwM40cpbiEgzEakFPAIUbwhswWk9ISINcR75neDbSOj13cER/d1tPue3cBsiEofzzHKA+3kOgKq+4HXMFKCTqs4o4fxMVa1b3uvddriNlM1wLhl+tODWzzXGlCjYw20Ek9sNtyEig4GXcfqXVqrqIhFZCCSp6jZxwvn+FhgI5AOLVPVN99ypwDNuUotUdZVPC+XyZx9UeTrhAB4WkZ44zcenVbXwnFC3k+86sFhVt/gll21HOosxxlQjqvoe8F6xbfO81hWY5S7Fz10JrPR3Hiv7Pah3gKaqGg1sB7wfCv+728n3Y+BlEflh8ZNF5HERSRKRJF90aBpjjAkc/qygbtqRpqppqnrV/fg60NFr31n35wkgAWhf/AKqukJVO6lqp5CQ6j0g0ZhA46/uA/Otqv4d+7OCumknnIjc7/VxGHDU3V5fRGq76w2BbsARP+bVGONDoaGhpKWlVflfoJVJVUlLSyM0NLSys+I3fmt2qOp1EZmBM7qjsBMuxbsTDnhKRIbh9DNdBqa4p0cCy0WkAKcSXayqVkEZEyQiIiI4c+YMqamplZ2VKi00NJSIiIjKzobf+G0U351226P4jDGmiinPKL5gUNmDJIwxxpgSWQVljDEmIFkFZYwxJiBVmT4od0BFzm2eHoIzUCOYWRkCg5UhcFSFctxuGcJUNegbIFWmgqoIEUnywcy/lcrKEBisDIGjKpSjKpShIoK+hjXGGFM1WQVljDEmIFkF5Vhx80MCnpUhMFgZAkdVKEdVKMNtsz4oY4wxAclaUMYYYwKSVVDGGGMCUpWsoERkoIgcF5GvRGR2Cftri8h6d/8nItLUa98cd/txERlQ3jSDpAwnReRzEUl2g0EGZBlE5B4R+S8RyRSRV4ud09Etw1cistSN+hlsZUhw00x2l0bF0w2QMvxIRA643/cBEenjdU6w3IeyyhAs9yHWK48HRWRkedMMeqpapRacmdO/BpoDtYCDQJtix/wvYJm7/giw3l1v4x5fG2jmplOjPGkGehncfSeBhkFwH+oA3YHpwKvFzvkU6AoI8D4wKAjLkAB0CoL70B54wF2PAs4G4X0oqwzBch/CgRB3/X7gIs4LvHf091JlLFWxBRULfKWqJ1Q1D3gTGF7smOF8G713E9DX/QtwOPCmql5V1W+Ar9z0ypNmoJfhTrvtMqhqlqruBXK9DxYnftjdqrpPnf+ta4ARwVSGSlCRMnymqufc7SlAmPtXfjDdhxLL4Me8lqYiZchW1cLZJEKBwpFtd/r30h1XFSuoxsBpr89n3G0lHuPe+HTgnjLOLU+avuSPMoDzD/tD91HH437Id4n5KyEfNxxTrAxlpXnmJmn6kj/KUGiV+8hmrp8fj/mqDA8Df1cnAnaw3gfvMhQKivsgIl1EJAX4HJju7r/Tv5fuuKpYQZnSdVfVDsAg4EkR6VnZGaqmJqjqg0APd5lUyfkpk4i0BX4F/M/KzsvtKqUMQXMfVPUTVW0LdAbmiEjVDaPrpSpWUGeBJl6fI9xtJR4jIiFAPSCtjHPLk6Yv+aMMqGrhz4vAZvz76K8iZSgrTe/woYF8H0rldR8ygLUE8H0QkQicfyuPqurXXscHzX0opQxBdR8KqepRIBO3P60caQa3yu4E8/WC03l4AmeAQGHHYdtixzzJdzsjN7jrbfnuAIMTOB2RN00zCMpQB7jLPaYO8DEwMBDL4LV/CjcfJDE4mMrgptnQXa+J09cwPRDLAHzfPX5UCekGxX0orQxBdh+a8e0giX8HzgENy5NmsC+VngE//WMYDHyBM8LlWXfbQmCYux4KbMQZQPAp0Nzr3Gfd847jNTKppDSDqQw4I30OuktKEJThJHAZ56/FM7ijk4BOwGE3zVdxZ0MJljLg/HFwADjk3of/xB1lGWhlAJ4DsoBkr6VRMN2H0soQZPdhkpvHZODvwIiy0qxKi011ZIwxJiBVxT4oY4wxVYBVUMYYYwKSVVDGGGMCklVQxhhjApJVUMYYYwKSVVCm2hGRzMrOQ0lEpKmI/Liy82FMoLAKypjbJCI1buOckDJ2NwWsgjLGZRWUqdZE5D9EZL+IHBKRBV7bt7iT6qZ4T6zrxnf6rYgcBOLcz4vcOD37ROS+Eq4RLyJviMhHwBtuS2mPiPzdXR5yD10M9HAnL31aRGqIyG+88he0c+EZczusgjLVloj0B1rgzMEWA3T0mkB3qqp2xJkx4SkRKZwZuw7wiaq2UyecRh1gn6q2A3YDj5VyuTZAP1UdjxPP50fqTNw7DljqHjMb2KOqMar6EvBTIF1VO+NMEvqYiDTz2RdgTIAr63GDMVVdf3f5zP1cF6fC2o1TKRVGLm3ibk8D8oG3vNLIA9511w8APyrlWttUNcddrwm8KiIxbnoty8hftIiMdj/Xc/PxTblKZ0yQswrKVGcCvKCqy7+zUcQD9APiVDVbRBJw5kkDyFXVfK/Dr+m384XlU/r/qSyv9aeBC0A7nKcYpQU1FOBnqvrX8hXHmKrFHvGZ6uyvwFQRqQsgIo1FpBFOS+WKWzm1xpm125fqAedVtQBnItDCwRYZwF3F8veEiNR089dSROr4OC/GBCxrQZlqS1U/FJFIINENppoJTAQ+AKaLyFGcGeH3+fjSvwfeEpFH3WsVtq4OAfnuAIzVODNsNwX+7kZ7TcW/odWNCSg2m7kxxpiAZI/4jDHGBCSroIwxxgQkq6CMMcYEJKugjDHGBCSroIwxxgQkq6CMMcYEJKugjDHGBKT/D6Xyk+MLRQTxAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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hzvYXaT/vQjznn09xToDS3CAlOUH8A5WgGkpWAUxf5dxO/CWcCiQtB921rkPOz5aDzvTx4Zec7Mpoe//v6w06751V2M/NfT7U53VLyZ8I4qq6+jTf4xPAt0TkZpzv58PAqf3Pdopso+5YePA6OLwJPradrTVdfO8PlTy67SivX1DCB94wn/Pmju7ieFV9B0/uPEZbdxyAjkicP+9vYPuRVvweD6tmFbJiej7BQYJmbshHWV6IknCAguwA+dl+coI+sgPeQb+UE0klEk/QFU3QGU3QHnFGQO3dcVq7Y7S6QSiWOLW/p9F4krq2CPkvb2LNn35DLKE8vHwdG8vOoCuWoL+//mcf3sl5B1/hzzOXsXnaot7nPQLZAV/vyCk35KfQHTEVhgOEA16m7nyZa//tZryxKAl/gIf+40fULD4LcAYqReEAZbkhyvKClOeFKMs9jaA1rD+ITidQddRBe62TqNHVlHJr7vOzCWJD/P/kz3b3neU6Aavnfij/xOcDYScV3xd0Rmy+oPs45b4/5D7npuxbWv5pGYkpvj7Xn9YSzCn/HhagRlnjPvjG2fD6TxK76NPc/cd9fHtDJVl+Lx+8ZD43nTcrI1N7Q+mOJfjj7jq2H2k93tWOKM/trWdffQd+r7B0aj4rZxSQlzW8BfqedRyvBwRBURJJiLtrQCP5O9S1Rahti1Db1k1dW4SmzhhnH97Jj3/8aQIJJwDHfH4+9cE7OLhwBSG/t3dtyefxMGfPVj542/vxxmMkfH5u/9SdvDp3KbF4ks5ogo5onI6IE0hbu2In9D/g9fDxlx7ifY//EK8mSXi8PP+ej7Dp+vcP2GePCMU5AcrzQkzJC1GeH6QkHMzMGtdwxaNOKn5qIOtsdPaX9e4zS7kfaUt57D431L6zgfjDTmALZB+vEhIIO3vLwqWQ405ThsucqcyCmc6IzwBpBSgfTpLEOpyR0YvADaq6PeWa3iUYEbkNSKjq59wkiZeAs91LN+MkSYz4LJeN0UfbC9931hpW/x1/rW5h474G2iNxLltczqWLy8ckOIGzNnXZkimc4a5NtXXHKQoHuGrFVOraImw+2MTW6mZerm5mTnGYRRV5zCkJp9XfRFJJJEd2ZqAzGj8ejFqdgNTqjgDBHdHlBlk4JZcbqw7gTybo6akvEeea1r28OH/dSe+75olX8MVjeJJJJB7n/EPb8F94Qb99UFXaI3GaOmM0dURp6IiyafYK3uP14U/EiXm8fCMxjZrN1UzNz6KiIERFfoig7/hINKlKXVuEurYI2w63AE5iSkmOO8LKC1KWG6I4HBj9oOULOGtWOWWn1j6ZdEZh0Q4nOzEeOf4z1nXi43i3c4t1OqO9aLvTrucW63D2qTVUOun7/Y3ugvlQ6JbdSt1zVjDTSR6xANZroizB2AhqNMUj8N8LYe7FxK/5Ad/9QyXffqaSktwAn75yEW9aVjHWPQScabHnK+vZeqjlhMSCtu4YW6tb2FXTSkc0QcjvYX5pDnNKnLWoTExVqSptkTj1bjDqCUrtkePBKD/LT1lukNLcIGW5zhd6aq3Bih1bePsn34035qwXJfwBfnP7/URWn0telp9w0EeWO5LK3fIis9/5NiQWRf0B9v74YZqWr6IrlnBHTs6UY0dk4IBbvm0zxS9tZPPcFfy57AxqWpzRXM+fZElOgIr8LKYWhJian0VuyDdkdqTPIxTnBCnJCVCS64yyinICGV/7G7eiHe50ZR20HXH2mDUdOL7frPngyUEsmH9y4MotT1lfK3KCmD884dfXJkslCQtQo2nnb+Cn74Ibf8G27HO47dGdbKxs4PpzZvCpKxalVxdvFNW2dvP0rlpqWrpPeD6ZVA42drKzppWqhk6iiSRejzAlL8SUfGeqqjgcIDfLhy/NtYRk0glELe6aU2NHlPq2CHXtESLxZO91RdkBSvN6AlGQ0pzgoGtj4IymFh/YzoLf/ZJQwEfgve8h+PoLB26wcWP/VTNSROIJGjuiNLRHqWuLcKzVCUIDTVlG40mOtnZzpLmLmpZualq6etfVcoI+KvJDTC3IYmp+iGUHdzDzlRepXnFO7/rVQIJ+D4XZAQqy/ORnO5mEeSHnlhPyjdmIfMypOhume4JVy6ETg1fzwYETR8Atv+Wum6WulQVzUmo85jmZkAWznM3WRfMgb+q4yIq0ADXOTIgA9eMb3OSIHfxg40H+67HdlOUF+dxbFrNuUflY965fqsrOmjaer6zvTaJIlUgqh5u7qKrv4EhLF3VtEVK/o3ND7ujE7yHo9YI476nqfGl3xRN0RxN0xRIntPN5nGmuktwApTnO6Kg4HOy/okYfOUEfM4uzmVGYzfSirOO1CzMskXSm6w43d3GkuYvDzV0DZhgmVWloj3KkuYsjLV0caXbO9zr78E4e+Mln8CfiJHx+7vzsd4msOS+t37svEcjye8kO+sj2e8kOeAkF3DU3n/Mz4HP2ePk8gs8reD2CV8TdByaIB/r7ulVwsx2VpDq/T9L975rseS7pPJdIOo/7u1YVNGWdSpDe73evx+mPR5xsSp/Xg98rBL3u3yc3q/KUqDprau09ySKNKckhXX2mIHumH7sh6q6zdbc4a2xdTU6NyR455TD1bJh1PpxxxZidpTZZAtTEHsdOJB0NsOcxOPf9HGqJ8lxlA12xBGtmFbFmTtFY925AIk7l8wXlObx8qJlNVU10x45/6Xo9znlTM4ucGn7xZJL6tihNndHe0VB3LEEknqQjEgV3I6yIk1SQH/IzJS9EdsBLXpbfGQlkORmA6X75eD1CRX6IOSVhZpeEKckZpPBtBnk94owg80OsmlWIqlLfHuVQUyeHGjupbuoi6o4GPSKUutOSK2Y4ayOt3TGW3/c7Aok4Xk1CPEb0qWf4bmcpJblBpuaHKMsNUZobpCgcGHJ0pAqdbnbkZNSzHy074CUr4CXsZljmhnzkBP3khpz9aeGA9+S/SyJuQd/T/H8vEXPT+w84G6yPbIbqTbD7d/DErc5G6mXvgJU3uPvbzHDYCGq0vPB9ePQT8P7neORYIet/vQOPB7589TIuWzJlrHuXtkg8wSvVLWw52HzCOtBoyw54mV0SZm5JmJnF2SckHoxXiaRS09LFwYZODjR2cqy1+6Q094odW9w0dSeL8NufuZPnyxdypLmLY63dvdOCHoHi8PERZmF2gIJsZ2rvdJIpKnZsYfrWF9KaXhxpmfpsn0fIDfnIz/ZTkBVwf/qd7RBZ/sxMgzYfcv5BuvM3sO8PgMKc18PZ74FFVzlThhk0WUZQFqBGyz1XQdsxOt73PJ99eBu/2nKYy5eU85VrllMUDox174YtkVT21LbxSnULh5u7+t1PNJI84oySZhZnM6ckTFlucMKWXerRHUtwsLGTqvoODjZ29k6hDvRFnVSluTPmZP21R3oTR7pSRrQegbyQU9EiJ+QjJ+AjHOy5eQn5vATcqT1Pnz+/48Hx5D1cfSVV3XJR7s94yv1EkmgiSTyhxJLOzxPvJ4kllYX7XmFF5ctsmr0CBb7zg3/Fl4gR9/p5/83/wSszF+PxCD53qs/r3vd5nOm9kDt1HPJ7Cfk8zigq6CMcGHjtbelvf8qCZx9nz4WXse3N70SEE/az5ffsaxuBYN+r+RBs/TFsvs/ZQJ1dDCtvhFU3Q/G8gdt1tzjrXafw93yyBCib4hsNnY1Q9Rxc+M/srGnlleoWsvxeLl1UPiGDEzjTWWdOyePMKXm0dMXYW9tGZW0HNS3dI1JSyOsRynKDTC3IYnphFtMKsybEKGk4Qn4vZ5TnckZ5LgAN7REONnZysPRCti5f1Tsd2MMjQlE4QFE4wEJye5/vjDqp7s2dUZo7Y86tK8qx1hODV19+rxDweXrXnP7+T48h0SgeTZKMRqn/v8e4t6Xw+LqRW7MwntBh71/zegS/x1lH8nmFs6t3cfuP/hVfPMZ7fX4eW3UZ/kTMmdpMxLjw8DYOnbmCpDr/GIonnBqKiaTz2RG3+sdAvQgHvE6ATtlQfcXzv+GNd38JgFkvPQvAtje/k9YuZ0P4gYbOk/rcU7qq58+9OCdAUXYA33AyVgtmwEX/Cq/7BFQ+DS/9EDZ+G57/hjOqWvVeWPim48euRNrg5Qedcmhv/aYz4nqNsgA1Gl79HWgCFl3FC682sq++nZUzClg9e/yuPQ1HfpafVbOKWDWriEg8QU1zN0dbu6lvdzbKtnXHiMSS/bYN+DzOWoH7r/4SNyGiJCf4mstAK84JUpwT5KyZhSSTyrG2bqqbuqhu6uRIc/dJAatHdsBHdsDHtIKsk16LJ5N0Ro5vMI7EE0R7iuamfOknVdmzeDXxPz4I8Rhxn59dC1dRkhN0EiY89AYyn9fZeB1wi+j6fccL6gbcAOR3Exp6EjD6jnbX/PgxAokYHk3iScSZXRwmGQggsRjq95Nz+Rt5y+Kpg/559RQA7o4l6I4n6Yom6IjEaXMrkfTsUTvQ0Ek8qdz85G8BJ+lDgYLf/YYXllxKqZu+33fdM5F0Eln6lrPyiFAY7tna4Kw5plURxOOBBW90bq01sOV+2HwP/OK9IG4dRvFA037n/LFZFzjnhb2GWYAaDTt/A/kzOBY+k+cr/0pS4by5xcwq7udwwAku6HPWhmaXnDi7kEgq0XiSeNL5kvV5nGmm11oQSpfHI1TkZ1GRn8Wa2UUkk0p9u5MheLSlm5qWblq6YkO+j8/jIS/Lk171j6UVPDzvnt7pxXmLz2KQCajTUr3iHBL+AMRiJPx+dl76N+y89G+GtQYlIs703hDbDFSVjkiCow1vhru39I66fnvGWjZWNvReF/J5KHETVyrcLRP9Jev0ZGA2tEfZWdMGOEGrLC/INHfEP70we/DMy7wKuOiT8LqPQ+UzcPB5ZxMyCove4oyopq8ZFynrY8nWoDIt0g7/ORdW/x3PzPkYH/vZVrL8Xr55/VmTZgRlxkZ3LEFta4S69m7q2qI0dERo6oiect3CkeQRISvgIcsNID03J8Xd+cdJ3subyPvLc0QueB3Jc9fi8XA8vd39Xu5JQ08klWTSGRHG3X/sRBNJIrEkkXiC7liSrljcyVp0R4z9fbX1XYOKxBPUt0Wpb3fX9doj1LdHSbhTmOGglyl5ISrys5xSVHnBtKb3vB5hakEWc0rCzCsNU5A9ulP5k2UNygJUpu36LfzkBvTdv+bfXynlRxuruGxxObdft5LsgA1gzcjqqbzRU/G95/iRzqjz5d0VTfSeiZXOWqEIvVN3Ad/x5ISQm5yQ5XdSvJ1Ub2fPW7a712osk1iSSaU9GnfXl+I0dznrc40dUZo6ooOuoSXc0erRlm5qWrs5mjJa7dmQ7oySspiSH0prM3pJbpAzynJYOCV3VILVZAlQ9g2ZaXufAn+Y6tyVvFy9Ha8I6xaVW3AyGSEivZUkhjrUvqdYb8/GWlVF3IMaPeJmzI1GpfUM8HiO/zlQeOJryaTS1Bmlrj3CsdYIx1q6Odba3Ru0vB6hPC9EeV6IFW6bzmicoy3dHG7uorqpi7/sb+Qv+4/vwZtemMWsojDlef1nl9a3OVmXz1c2MCU/xJlTclk4Jde+B4ZgfzqZVvkUzHkdu+si7DnWxuySbFbNsqKVZuw5GXVj3YvR53HrGhbnBDnT3YKYSCq1bd0cburiUD9JKdkBH3NLc5hbmgNAJJbgcHMXh5q6ONzURfRPz1F88BVenLuSphWrmF3s7M/L6md97GiLMyr74+56ZhZnsaAsl/llORk/A24isgCVSQ2V0FSFnvcBnnm1lo5ogsVT85lTkjPWPTPGpPCmJKWsnl1EIqkcae7iQEMn+xs6qG+LnHB90O/tDVgVO7Zw7c9uxROPEtv4U27my/y+fCECTMkPMbskzILSHAr7bClJqlJV30lVfSdP7ax1RmJFTh+KcwLkBHzj49iVMWQBKpMqnwagrvxCtr7QhM8jXD6GR2oYY9Lj9QgzirKZUZTNhQtKaO2Osb+ug3317VQ3dp2whjV96wt441HniBbifFCqmbX6jexv6KCqvoONlQ1srGygOBxgXlkO80tzKMkJnDAVmFSnpuXh5q7e5xZPzePyCVRlJhMsQGVS5dNQMItdkVL21h5iTkm4t+6aMWbiyAv5WTGjgBUzCt4D8k0AACAASURBVIjEExxo6KSytp39DR0npcwfXnFub03GtXOLaeuOUVnXwd7adl7Y38gL+xvJz/JzRnkOZ07JG3Cz/iTJXzstFqAyJRGH/X+EZe/gj3vq6IolWDI1r9/NlMaYiSPoO14BJJFUDi2t4OWyX6DPPMO+JWtO2sOVG/KzckYBK2cU0BGJs6+ug7117WyqauLFqibK84IsmpLHGVNy+12zei3LaJq5iFwB3IFzYuPdqvrVPq/PBO4BCtxrPqWqj4rIbGAn8Kp76Z9VdeBzsxmHaeaHX4LvX0LnW+/mpr9MY8vBJu64biVXrZg21j0zxmSAqnK0tZvK2g4q69pp7IgOen1HJM6rx9rYWdNKfXsUj8CckjBLp+Yzqzib82v3cN6hVwY9l2wglmY+BBHxAt8GLgWqgRdF5BFV3ZFy2WeBn6nqnSKyGHgUmO2+VqmqKzPVv4w78DwA+8PL2V93kGkFWSyfbtN7xkxWIscTLS5cUEJTR5R99R3sq2vnSPPJNSrDQR9nzyzk7JmF1LVF2Hm0lV01bVTWdXBh3W4+dP+n0UQcCQTgqaeGHaQmg0xO8Z0D7FXVfQAi8hPgbUBqgFIgz72fDxzJYH9G14HnoWgef67109gZZeXMMqYXTr7SRsaY/hWGA6wKB1g1q5DuWIKqhg721XWwv77jpLqKztlgpVwwr4TKunZW3P8rPLEYokmIRp0Tni1AjahpwKGUx9XAuX2uWQ88LiIfBsLAG1NemyMiW4BW4LOq+qe+HyAitwC3AAQC46gqeDIJB54nuegqnt1bD8DFZ5Ra9p4xr1Ehv7e3+n8iqRxq7GT3sTb21rWfUEjZ6xHOKM+l4MpLYcMDaDzmjKAuvnjsOj+GxjpJ4nrgR6r63yKyFrhPRJYCNcBMVW0QkVXAwyKyRFVbUxur6l3AXeCsQY125wdUtxO6m2kqWc3eXe0UhQOcO7d4rHtljBkHvB7pLah8SSLJ3rp2th5q5khzd+81NYvPYtPdPz/lNajJIpN1TA7DCdVWprvPpfp74GcAqroRCAElqhpR1Qb3+ZeASuCMDPZ1ZLnrT7uCyzjc3MXckvCkrFxujDk9Pq+HM6fk8c41M/nbNTOYUXT8e6J55Wr49KczFpxE5AoReVVE9orIp/p5faaIPCMiW0TkryLyJvf52SLSJSIvu7fvZqSDZDZAvQgsEJE5IhIArgMe6XPNQWAdgIgswglQdSJS6iZZICJzgQXAvgz2dWQdeA7ypvP44QBJhbNmFlgZE2PMoKYVZPH2VdO5akUFOcHMTm6lJLFdCSwGrncT1VL1JLGdhfP9/Z2U1ypVdaV7GzTD+nRk7E9BVeMi8iHgMZwU8h+o6nYR+QKwSVUfAf4F+L6IfAwnYeJmVVUReT3wBRGJAUng/aramKm+jriDfyExcy2vHG7F6xEuXlg21j0yxkwQ88tymV6YfdIJvyNsQiSxZTRMq+qjOKnjqc99LuX+DuCCfto9BDyUyb5lTOsRaDtCU+EKDrzaydSCEAvKrfaeMSZ9Ib+XhVNyM/kRGU9iGwkTs5b+eHb4JQC2ywIa2qPML82hLDc0xp0yxrzG+ERkU8rtllN4j54ktunAm3CS2DwcT2I7C/g48KCI5A30JiLyH+k81x8LUCPt8Evg8fNYQwngHO1ujDGjLK6qq1Nud/V5fTST2C7t57kr0/klLECNtOpNJMuX8nJNNyGfh/PnlYx1j4wxpq+MJ7GJyD+JyCvAQjcLsOe2H/hrOp0c631Qk0syAUe20HbGtRx8pYvpRdnMKZ3w5bCMMZPMKCWxPQj8DvgKkJrG3pZu0psFqJFUvxui7ezxL6Q9EmdheU7G00WNMeZUZDqJTVVbgBacFHYvUI4Tc3JEJEdVDw71HvbtOZKqNwHwTPssAM6dY+tPxpjXNnekth44hjPiAmdEtnyothagRtLhl9BgHs825BHwdXDOnKKx7pExxoy1fwYW9iRWDIclSYykI1uIlq3gUHOEqfkhZhXb+pMx5jXvEM5U37DZCGqkJGJQu5NjC26isTPK2bMKyApYeSNjzGvePmCDiPwWiPQ8qapfH6qhBaiRUr8bEhE2R6cDsHp24Rh3yBhjxoWD7i3g3tJmAWqkHH0FgD+1VuAV4YJ5pWPcIWOMGXuq+u8AIpKtqsMqMGhrUCPl6CuoL8SfW4oozwsyu8SO1zDGGBFZKyI7gF3u4xUi8p0hmgEWoEbO0b/SVXgmNe0xZpeEyQ35x7pHxhgzHtwOXA70lEfaCrw+nYYWoEaCKtT8lYOBeSQVlk/PH+seGWPMuKGqh/o8lUinna1BjYSWauhu5q+xmYBt0DXGmBSHROR8QEXED3wU2JlOQxtBjQQ3QWJj11Rygj6WTBuw8rwxxrzWvB/4IM4ZVIeBle7jIdkIaiQc/SuKsLFtChX5IUrCwbHukTHGjAuqWg/ceCptLUCNhKOv0J03m6O1Xs5ekIvHI2PdI2OMGRdEZA7wYWA2KTFHVd86VNuMTvGJyBUi8qqI7BWRT/Xz+kwReUZEtrjnhLwp5bVPu+1eFZHLM9nP01a7k8OBOQCsnGEJEsYYk+JhoAr4JvDfKbchZWwE5ZZX/zbOaYrVwIsi8ohbwr3HZ4GfqeqdIrIYp/T7bPf+dcASYCrwpIicoappZX6Mqlg3NO1nZ/75gJ2ga4wxfXSr6jdOpWEmR1DnAHtVdZ+qRoGfAG/rc40CPRkF+cAR9/7bgJ+4RwvvB/a67zf+1O8GTbK5ewpF4QDzSnPGukfGGDOe3CEin3c37J7dc0unYSbXoKbhVLHtUQ2c2+ea9cDjIvJhIAy8MaXtn/u0nZaZbp6mul0AbOooZ3p5FmE7oNAYY1ItA24CLuHE86AuGarhWH+bXg/8SFX/W0TWAveJyNJ0G4vILcAtAIHAsGoQjpzanSTFx65YGVdPyR2bPhhjzPj1DmCuO5M2LJmc4jsMzEh5PN19LtXfAz8DUNWNQAgoSbMtqnqXqq5W1dU+3xjF2rpdNIVmEMPHWTMKxqYPxhgzfm0DTunLMZMB6kVggYjMEZEATtLDI32uOQisAxCRRTgBqs697joRCbopiguAFzLY11NXu5P9npkIsHq2naBrjDF9FAC7ROQxEXmk55ZOw4wNO1Q17p5F/xjgBX6gqttF5AvAJlV9BPgX4Psi8jGcOcmbVVWB7SLyM2AHEAc+OC4z+KKd0FTF9uB5FIYDzCiyCubGGNPH50+1YUbnxVT1UZzU8dTnPpdyfwdwwQBtbwNuy2T/Tlv9bkB5ubuCaSUhQn47QdcYY1Kp6h9EZBawQFWfFJFsnEHLkKwW3+lwM/heiU5hfpklSBhjJo7RKqQgIu8DfgF8z31qGs7m3SFZgDoddbtIiI8qncKy6VYg1hgzMaQUUrgSWAxc7xZISNVTSOEsnByC77htUwspXAF8x32/gXwQZ6asFUBV9wBl6fTTAtTpqN1FbWAGcXysnmUJEsaYCWM0CylEUlPMRcTnvveQLECdjvrd7FPniI0zym2KzxgzbvhEZFPK7ZY+r/dXSKFvMYT1wLtEpBonl+DDw2ib6g8i8v+ALBG5FPg58Ju0fol0LjL9iEfRpip2spKKfEuQMMaMK3FVXX2a73FahRRSfApnz+srwD/iBLu702loAepUNR9ANMGOWBlzS8Nj3RtjjBmOdAspXAFOIQURGVYhhRR/A9yrqt8fbidtiu9UNewFYF+ygiVT7YgNY8yEMpqFFK4CdovIfSLyFncNKi0WoE5V/R4A9ukUzpppJY6MMROHqsaBnkIKO3Gy9baLyBdEpOcgwX8B3iciW4Ef4xZSUNXtOCXqdgC/Z4hCCqr6XmA+ztrT9UCliNgUX0Y17KXVk0+nJ5dl02wEZYyZWEazkIKqxkTkdzjZe1k4037/MFS7tEZQIvJLEXmziNiIq0fDXg4wldLcIAXZY1RJ3RhjxjkRuVJEfgTsAa7FSZCYkk7bdAPOd4AbgD0i8lURWXgqHZ1MtGEvuxNTmFaQNdZdMcaY8ezdOJUjFqrqzar6qDvFOKS0ApSqPqmqNwJn45wt/6SIPC8i7xUR/6n2esLqbkXaj7EnXs68MjtB1xhjBqKq1wMbgUvdJIm0qkjAMJIkRKQYuBln3nALcAdOwHpiWL2dDHoy+LSCxRVW4sgYYwYiIu/AyfJ7B/C3wF9E5O3ptE0rSUJEfgUsBO4DrlLVGveln4rIpuF3eYJrqAScAPUhO6TQGGMG81lgjarWAohIKfAkTgHZQaWbxfcNVX2mvxdGYLfyxNOwhyQearwVLLRj3o0xZjCenuDkaiDN2bt0p/gWi0jvUEFECkXkA8Po4OTSsJcaKaUoN4eglTgyxpjB/N49TfdmEbkZ+C190tsHkm6Aep+qNvc8UNUm4H3D7uYkofV7qExOsRN0jTFmECIiwDdwzoJa7t7uUtV/S6d9ulN8XhER9zj2nrNEXpubf1RJNlRSmbiQ+aWWwWeMMQNRVRWRR1V1GfDL4bZPdwT1e5yEiHUisg6n7MXvh/thk0JHPd5YB1U6hSXTLIPPGGOGsFlE1pxKw3RHUP+GUyb9n9zHT5BGuXQRuQInHd0L3K2qX+3z+v8Ab3AfZgNlqlrgvpbAKc8OcFBV38p40LQfgINaxg2WwWeMMUM5F+dcqSqgAxCcwdXyoRqmFaBUNQnc6d7SknKk8KU4B1q9KCKPuPWdet73YynXfxg4K+UtulR1ZbqfN2qaqgCo9U5hnk3xGWPMUC4/1Ybp1uJbICK/EJEdIrKv5zZEs3SOFE51Pc7U4fjW6Iygorkz8HmtNKExxgxGVQ8AxTjf/28Fit3nhpTuN+wPcUZPcZwpuXuB+4dok/axwCIyC5gDPJ3ydMg9qvjPIvI3A7S7pedI43g8rdJOp02b9nNUiygrtArmxhgzFBH5HHAPTpAqAX4oIp9Np226a1BZqvqUm8l3AFgvIi8BnxuqYZquA37R50yRWap6WETmAk+LyCuqWpnaSFXvAu4CCIfDOkJ9GVSktpIDWsacEpveM8aYNNwIrFDVbgAR+SrwMvCloRqmO4KKuEdt7BGRD4nI1cBQ39DDORb4OvpM76nqYffnPmADJ65PjZ2mKg4my1g4xQKUMcak4QjOabw9ggx+RHyvdAPUR3Gy7D4CrALeBbxniDbpHCmMiJwJFOJUu+15rlBEgu79EpxDs3b0bTvqYl2Eums5oOUstUMKjTEmHS3AdhH5kYj8ENgGNIvIN0TkG4M1HHKKz83Ge6eqfgJoB96bTo9UNS4iPUcKe4Ef9BwpDGxS1Z5gdR3wk55NwK5FwPdEJIkTRL+amv03Zpqcdb1qyq2KuTHGpOdX7q3HhnQbDhmgVDUhIheeQqeGPFLYfby+n3bPA8tO5TMzyt0D1RyaZjX4jDEmDap6z6m2TTdJYouIPAL8HGejVc8HD7t0xYTm7oFK5M8a234YY8wEISJvAb4IzMKJOT0bdYechko3QIVwSqRfkvKccgq1lSayeH0lXZpFQUnFWHfFGGMmituBa4BX+izlDCndShJprTtNdu1HKzmiZSwotzOgjDEmTYeAbcMNTpD+ibo/xBkxnUBV/264HzihNe3ngJZZgoQxZsIbxVqp/wo8KiJ/ACI9T6rq14fqY7pTfP+Xcj8EXI2T2/7akUwS7jzMQV3MNTMsxdwYM3GNcq3U23AywEMM85imdKf4Hkp9LCI/Bp4dzgdNeG01+DXKUU8Fpbmhoa83xpjxq7dWKoCI9NRKHWg7z/XA50/xs6aq6tJTaXiq1U4XAGWn2HZicjP4OrL7LSdojDHjia+nTql7u6XP6xmvlZriURG5bLi/AKS/BtXGiWtQR3HOiHrtaHH/WxZYirkxZtyLq+rqEXqvU6qVmuKfgE+ISASIMdJp5qr6mk9b6zi2jzCQO2X2WHfFGGNO13BrpX4w9YnUWqkisgFnfarfAHU68SPd86CuFpH8lMcFaQzrJpXWo/uo03zmTCkZ664YY8zpynitVLctInJ2f7d0OpluFt/nVbW3lpKqNovI54GH02w/4SWaDnJMS1hU8ZofTBpjJrhRqpX6ceAW4L/76wInFn7ol6Szd0pE/tr3/Hh3znHc1MsLh8Pa0dEx9IWnqO7LS/hL13TWffa3ZAXTjevGGDP6RKRTVcNj3Y/TlW4W3yYR+bqIzHNvXwdeymTHxpVkkoLoMeq8ZRacjDFmlKQboD4MRIGfAj8BuumzaDapddTiJ0ZbyGrwGWPMaEk3i68D+FSG+zJ+NTsp5vHcGUNcaIwxZqSkuw/qCeAdqtrsPi7EWTi7PJOdGy86ap0U82Cx7YEyxph0DJWpp6qbh3qPdBdUSnqCk/vGTSLymqkkUV+9lzBQNG3eWHfFGGMmip7svRCwGtiKs0l3ObAJWDvUG6S7BpUUkZk9D0RkNv1UN5+suur206xh5k+fMtZdMcaYCUFV36CqbwBqgLNVdbWqrsLZ1DvQpuATpBugPgM8KyL3icj9wB+ATw/VSESuEJFXRWSviJy0hiUi/yMiL7u33SLSnPLae0Rkj3t7T5r9zAhpraZaSznTjtkwxpjhWqiqPUdzoKrbcPZSDSndJInfi8hqnE1XW3A26HYN1uZ0yrmLSBFO5dzVOCO1l9y2Ten0d6SFu2p4VUpZGvKPxccbY8xE9lcRuRu43318I/DXdBqmmyTxD8BHceo1vQych1P6YrCdwKdTzv1y4AlVbXTbPgFcAfw4nf6OKFWKYsdoDoybPcnGGDORvBenYOxH3cd/BO5Mp2G6SRIfBdYAf1bVN7g1lr48RJv+yrmf29+F/ZRzT7sUfMZ1NZFNF13ZU8fk440xZiJT1W4R+S7wqKq+Opy26a5BdatqN4CIBFV1F7BwmP0cTH/l3IckIrf0nHcSj8dHsDvHReqrnM8qnDn4hcYYY04iIm/FmXn7vft4pYicVJi2P+kGqGoRKcBZe3pCRH4NHBiizXDLuadO36XVVlXvcjNDVvt8mSlBVHNwNwC5ZXMz8v7GGDPJfR5nyacZQFVfxpkxG1K6SRJXu3fXi8gzQD5uNBxEbzl3nOByHXBD34v6K+eOU2H3y+6GYIDLSCNrMBOajuxjNjBl9oKx+HhjjJnoYqraIiKpz6W1TWnYww5V/UOa151yOXdVbRSRL+IEOYAv9CRMjLZYQxUdGmTBTCtzZIwxp2C7iNwAeEVkAfAR4Pl0GqZ13MZEkKnjNrb815sItx/gjH/fPuLvbYwxmTCejtsQkWycvbSXuU89BnxRVSNDtbWzI4aQ232UOu9rpqqTMcaMtDer6mdwghQAIvIO4OdDNUw3SeI1qzBRT1uwfKy7YYwxE1V/+QNp5RTYCGoQGuummBZi2VaDzxhjhkNErgTeBEwTkW+kvJQHpLUvyALUIBpqqigBvIWWIGGMMcN0BKdq+Vs58QT2NuBj/bbowwLUII4c3EsJkFNqm3SNMWY4VHUrsFVEfgV09BRicOu0BtN5D1uDGkTT0SoApsywc6CMMeYUPQ5kpTzOAp5Mp6EFqEFEG5xygFNnWoAyxkwuo3gcUkhV23seuPez0+mjTfENwtNeQ4uGyc/JH+uuGGPMiBnl45A6ROTsniPeRWQVQxzX1MMC1CCyu45S7ynBwpMxZpIZzeOQ/hn4uYgcwTnyfQrwznQ6aQFqEIXxWlptD5QxZvIZteOQVPVFt+ZqzwkYr6pqLJ1O2hrUABJJpUQb6M62AGWMmXB8PUcRubdbTuO9Tuk4pB5uqaN/Az7qHvc+W0Tekk5bG0EN4FhjE1Ollb35Y3NOojHGnIa4qq4e5PXhHof0wT5tL+7TdsMgn/VDnH1Qa1Pa/xz4v0HaADaCGtDBqkoAsktsD5QxZtLpPQ5JRAI4QeikQwQHOQ7pMhEpdI9Eusx9biDzVPU/gRiAqnbirEUNyUZQA2g4sh+Akql2UKExZnIZ5eOQoiKShXsGlIjMA4asZA4WoAbUVX8QgJJpaR38aIwxE4qqPgo82ue5z/V5vH6Atj8AfpDmR30e54DbGSLyAHABcHM6DS1ADUBbnOnYgNXhM8aYU6aqT4jIZuA8nKm9j6pqfTptLUANINh1lFZyyAuMizO/jJlQYrEY1dXVdHd3j3VXJrVQKMT06dPx+/1j3ZWhXARciDPN5wd+lU4jC1ADyI8eo8lfRt5Yd8SYCai6uprc3Fxmz56NSFrr4WaYVJWGhgaqq6uZM2f8LkWIyHeA+RzfyPuPIvJGVf3gIM0AC1D9iieSFCcb6ApVjHVXjJmQuru7LThlmIhQXFxMXV3dWHdlKJcAi3oSLUTkHmB7Og0zmmY+VDFC95q/FZEdIrJdRB5MeT6RUqjwpPTHTKpp6aZCGkjmTh3NjzVmUrHglHkT5M94L5C6X2eG+9yQMjaCSqcYoYgswDn69wJVbRKRspS36FLVlZnq32AOHmvgAmmjscgSJIwx5jTlAjtF5AWcNahzgE09Aw9VfetADTM5xZdOMcL3Ad/uqYKrqrUZ7E/ajh3eB0Be2awx7okxxkx4nxv6kv5lMkClU4zwDAAReQ5ns9h6Vf29+1pIRDbhnF3/VVV9uO8HuPWlbgEIBAIj1vH22gMAFEwZvwuPxhgzQdSlzpwBiMjFqrphqIZjnSThAxbg1HWaDvxRRJapajMwS1UPi8hc4GkReUVVK1Mbq+pdwF0A4XBYGSHxZmcPVNCm+Iw5bf/+m+3sONI6ou+5eGoen79qyYCvV1VVccUVV3Deeefx/PPPs2bNGt773vfy+c9/ntraWh544AHOOeccOjo6+PCHP8y2bduIxWKsX7+et73tbVRVVXHTTTfR0dEBwLe+9S3OP/98NmzYwPr16ykpKWHbtm2sWrWK+++//6S1oO9///vcddddRKNR5s+fz3333Ud2djbHjh3j/e9/P/v2ObM0d955J+effz733nsvX/va1xARli9fzn333Teif15j7Gcici/wX0AI+E+cs6TWDtqKzCZJpFOMsBp4RFVjqrof2I0TsFDVw+7PfTiFCM/KYF9P4G8/4tzJsyQJYyaqvXv38i//8i/s2rWLXbt28eCDD/Lss8/yta99jS9/+csA3HbbbVxyySW88MILPPPMM3zyk5+ko6ODsrIynnjiCTZv3sxPf/pTPvKRj/S+75YtW7j99tvZsWMH+/bt47nnnjvps6+55hpefPFFtm7dyqJFi/jf//1fAD7ykY9w0UUXsXXrVjZv3sySJUvYvn07X/rSl3j66afZunUrd9xxx+j8AY2ec3GSJJ7HKY90BKeaxJAyOYLqLUaIE5iuA27oc83DOAdh/VBESnCm/Pa5BQg7VTXiPn8BTtQdFeHuY7RJLrmBtE4lNsYMYrCRTibNmTOHZcuWAbBkyRLWrVuHiLBs2TKqqqoAePzxx3nkkUf42te+Bjjp8QcPHmTq1Kl86EMf4uWXX8br9bJ79+7e9z3nnHOYPn06ACtXrqSqqooLL7zwhM/etm0bn/3sZ2lubqa9vZ3LL78cgKeffpp7770XAK/XS35+Pvfeey/veMc7KCkpAaCoqChzfyhjI4Zzgm4Wzghqv6om02mYsQCVZjHCnqq4O4AE8ElVbRCR84HviUgSZ5T31b5zmJlUEK+nNauM3NH6QGPMiAsGg733PR5P72OPx0M8Hgecza4PPfQQCxcuPKHt+vXrKS8vZ+vWrSSTSUKhUL/v6/V6e98r1c0338zDDz/MihUr+NGPfsSGDRtG8lebaF4Efg2sAUqA74rItar6jqEaZnQflKo+qqpnqOo8Vb3Nfe5zPZVy1fFxVV2sqstU9Sfu88+7j1e4P/83k/1M1dodo5QGurPKhr7YGDOhXX755Xzzm9+kp1j3li1bAGhpaaGiogKPx8N9991HIjG8s/ra2tqoqKggFovxwAMP9D6/bt067rzzTgASiQQtLS1ccskl/PznP6ehoQGAxsbBCoNPSH/vfu/HVLVGVd9GP0d79MfOg+qjurGLcmlGbJOuMZPerbfeSiwWY/ny5SxZsoRbb70VgA984APcc889rFixgl27dhEOD68m5xe/+EXOPfdcLrjgAs4888ze5++44w6eeeYZli1bxqpVq9ixYwdLlizhM5/5DBdddBErVqzg4x//+Ij+juPASyLyLhH5HICIzAReTaehpBzzMaGFw2Htybg5Hb99+QBX/moFR1d+mKlXf3EEembMa8/OnTtZtGjRWHfjNaG/P2sR6VTVcVHpWkTuBJLAJaq6yM0xeFxV1wzVdqzTzMed2ppDeETJKbUUc2OMGQHnqurZIrIFwK0alNbGVZvi66OjztlbnFNiAcoYY0ZAzC1911MsthRnRDUkC1B9xFucPVCefFuDMsaYEfANnPOfykTkNuBZ4MvpNLQpvj68HcecO7l21IYxxpwuVX1ARF4C1uGcqPs3qroznbYWoPoIR2qJ48WXXTLWXTHGmElBVXcBu4bbzqb4UiSSSl68gXZ/MXjsj8YYY8aSfQunqGuLUE4jEduka8ykVFVVxdKlS8e6Gye5+OKL2bRp01h3Y9yxAJXiQEMH5dIEtknXmNG3cSN85SvOzwmkv1JHE8FEOPHcAlSK/fUdTJEmAoUWoIwZVRs3wrp1cOutzs8RClJf//rXWbp0KUuXLuX2228HnIBy4403smjRIt7+9rfT2dkJwKc+9SkWL17M8uXL+cQnPgFAXV0d1157LWvWrGHNmjW9lcvXr1/PTTfdxAUXXMBNN93Eeeedx/bt23s/t2dE1NHRwd/93d9xzjnncNZZZ/HrX/8agK6uLq677joWLVrE1VdfTVdX14j8vulKOfH8SmAxcL2ILO5zTeqJ50uAf055uUtVV7q3AU/EPV2WJJHiSG0DedJJpNj2QBkzqjZsgGgUEgnn54YNsHbI44IG9f/bu/foms68gePf3yQkQS+UtB06g77UrZFEGk0bRKvuy22oUi2jl1ffFq5q7gAAFtVJREFUaq1aazrVloYuHW3NmFHtculgdFp1aSlevQRjMEOJNglRevWijGpEmoSIyu/9Y+/EEQmRnCPnnPw+a+1ln3159vOczXnsZz/P89u5cycLFizg008/RVXp2LEjXbp0Yd++ffz1r3/lzjvvZPTo0bzxxhv89re/ZcWKFezduxcR4cSJEwCMGzeOp556isTERA4cOECPHj344gunA9qePXvYsmULERERzJgxg6VLlzJ58mSOHDnCkSNHiIuL49lnn+Wuu+5i/vz5nDhxgvj4eLp168acOXOoU6cOX3zxBRkZGcTGxlbxC7xsARHx3J6gPOT+eAiAsPqNqzknxtQwSUlQuzaEhDh/JiVVOcktW7YwcOBA6tatS7169Rg0aBCbN2/mpptu4s47nXBEI0aMYMuWLVxzzTWEh4fz0EMP8f7771OnjhNqZ926dYwdO5bo6Gj69evHTz/9RF5eHgD9+vUjIiICgHvvvZfly5cDsHTpUgYPHgw44TymTZtGdHQ0SUlJJeE8Nm3axIgRIwCIiooiKiqqyuUtJVREUj2WR0vtLyvieekfvpZASxH5l4hsE5GeHvvC3XS3icgAb2e+mD1BeTib48ZTvNrGQBlzRSUkwPr1zpNTUlKVn54upnT0WxEhNDSU7du3s379epYvX86sWbPYsGEDRUVFbNu27bxwG8U8J5Bt3Lgx1113HRkZGSxZsoTZs2cD5YfzuAJ+VtW4KqZRpYjn3mBPUB5skK4x1SghASZM8Frl1KlTJ1auXMnJkyfJz89nxYoVdOrUiQMHDrDVfcf1zjvvkJiYSF5eHjk5OfTu3ZsZM2aQnp4OQPfu3XnttddK0kxLSyv3ekOHDuWVV14hJyen5ImovHAenTt35p13nD4Hu3fvJiMjwytlvgwBEfHcKigPdU+7TaxX3VC9GTHGVFlsbCyjRo0iPj6ejh078vDDD1O/fn1uueUWXn/9dVq3bk12djaPPfYYubm59O3bl6ioKBITE/nTn/4EwMyZM0lNTSUqKoo2bdqUPBmVZfDgwbz77rvce++9JdvKC+fx2GOPkZeXR+vWrZk0aRIdOnTw7ZdxoZKI5+7ErfdxYYymlThPT5SOeC4iYR7b7+T8d1deY+E2XIU/F7EoeTgP1t5I7YlHoFQzgDGm4izcxpVT2XAbItIb+DPnIp5P9Yx4Lk5b6B+BnjgRz6eq6rvFEc9xJnz9BfBnXwWVtXdQrqM/FXCDZHMqrBG1rXIyxgQ5VV0LrC21bZLHugLj3cXzmH8Dt16JPPq0ia+KA8FGishX7jLSl/kEOJR9ikjJ5qw17xljjF/w2ROUx0Cwe3Betu0QkVWqusfjGM+BYNkiEulubwC8AMThxBDZ6Z6b7av8/l9WPglkE3q1NUsYY4w/8OUTVMlAMFUtBIoHgnkqbyBYDyBFVY+7+1Jw2kF95mCWM4tEWIMmvryMMcaYCvJlBVWVgWAVOderTmT/QJicsWmOjDHGT1R3J4kyB4JV9GR3dPSjALVrVyjEfbnOZDuRdOVqq6CMMcYf+PIJqioDwSpyLqo6V1XjVDUuNLRqde0v8v/jrNggXWNMBUyaNIl169aVu3/27NksWrQIgIULF3L48OGSfQ8//DB79vhk6FBQ8eUTVMlAMJzK5T5geKljVgLDgAWeA8GAb4CXRKS+e1x3nM4UPhNxqngWCevFZ4y5tClTplx0/5gxY0rWFy5cSLt27fjlL50WmjfffNOneQsWPqugVPVnERkLfMy5gWCZngPB3H3dRWQPzkCw36lqFoCIvIhTyQFMUdXjvsprUZFy1ZkfnW/DnqCM8a4Pn4H/7PJumjfcCr2mXfKwAQMGcPDgQQoKChg3bhyPPvooH330Ec8++yxnz56lYcOGrF+/nqysLIYNG8b3339PQkICKSkp7Ny5k7y8PPr27cvu3bsBmD59Onl5eSQnJzNq1Cj69u3L4MGDeeaZZ1i1ahWhoaF0796d6dOnk5ycTL169WjatCmpqancf//9REREsHXrVnr16sX06dOJi4tj8eLFvPTSS6gqffr04eWXXwagXr16jBs3jjVr1hAREcEHH3zA9ddf793v0c/5dByUqq5V1ZaqerOqTnW3TXIrJ9QxXlXbqOqtqvqux7nzVfW/3GWBL/N5/GQhjcjmVOg1EBrmy0sZY66g+fPns3PnTlJTU5k5cyZHjx7lkUce4b333iM9PZ1ly5YBMHnyZBITE8nMzGTgwIEcOHCgwtfIyspixYoVZGZmkpGRwfPPP3/e/sGDBxMXF8fbb79NWlpayQzoAIcPH+b3v/89GzZsIC0tjR07drBy5UoA8vPzuf3220lPT6dz587MmzfPC99IYKnuThJ+4fvsk9wg2RTWuYGISx9ujLkcFXjS8ZWZM2eyYsUKAA4ePMjcuXPp3LkzzZo1A6BBgwYAbNq0iffffx+APn36UL9+/bITLINnqI6+ffvSt2/fCp+7Y8cOkpKSaNSoEQD3338/mzZtYsCAAdSuXbskrQ4dOpCSklLhdIOFTRYL7P/xJJGSjVxt75+MCRYbN25k3bp1bN26lfT0dGJiYoiOjr6sNEJDQykqKir5XFBQUOYx27dvZ/DgwaxZs4aePb0zZLNWrVoloUFCQkICNrR8VVgFBRzMPskNcpxa11qgQmOCRU5ODvXr16dOnTrs3buXbdu2UVBQwKZNm/juu+8AOH7cebXtGf7iww8/JDvbmbTm+uuv54cffiArK4vTp0+zZs2aC65TXqgOT1dddRW5ubkXbI+Pj+ef//wnP/74I2fPnmXx4sV06dLFa99BoLMmPuBIdi4NyUEskq4xQaNnz57Mnj2b1q1bc8stt3D77bfTqFEj5s6dy6BBgygqKiIyMpKUlBReeOEFhg0bRtu2bbnjjjv41a9+BThPMZMmTSI+Pp7GjRvTqlWrC66Tm5tL//79KSgoQFVLQnV4GjVqFGPGjCnpJFHsxhtvZNq0aXTt2rWkk0T//qUn3Km5LNwG8NS8tcz4fhj0nQFxo72cM2NqnkAPt1Hc865hw4bVnZVLqmy4jUBgTXyA5h5xVqyLuTHG+A1r4gNqnSyOpGsVlDEG9u/fX91ZMNgTFAD1TlsFZYwx/qbGV1B5p3+mgR6niBCo6//tzcYYU1PU+ArqPzkF3MBxToU3hF+EVHd2jDHGuGp8BXX0pwKul2yK6togXWOM8Sc1voI6klNApJzgF9dYHChjzMUlJyczffp0oPxwGxs3brzkdEdpaWmsXbvWJ3kMJjW+gjr6UwE3yHHCbJCuMdVq68Gt/GHzH9h6cOulD/YDU6ZMoVu3bpU61yqoiqnxFdSx7BNcK/mEXmtPUMZUl60Ht3L3oruZ+I+J3L3obq9VUosWLSIqKor27dvzwAMPsHr1ajp27EhMTAzdunXj6FEnDlxycjKjR48mKSmJ5s2bM3PmzJI0pk6dSsuWLUlMTGTfvn0l20eNGsXy5csB+Oijj2jVqhWxsbElk84CbN++nYSEBGJiYrjjjjvYt28fhYWFTJo0iSVLlhAdHc2SJUvIz89n9OjRxMfHExMTwwcffABAZmYm8fHxREdHExUVxVdffeWV7wVARHqKyD4R+VpEninnmHtFZI+IZIrIOx7bR4rIV+4y0muZKk1Vg2KpU6eOVsYPK95WfeFq1WWTK3W+MeZCe/bsuazjX9r0koZMDlGS0ZDJIfrSppeqnIfdu3drixYt9NixY6qqmpWVpcePH9eioiJVVZ03b56OHz9eVVVfeOEFTUhI0IKCAj127Jg2aNBACwsLNTU1Vdu1a6f5+fmak5OjN998s7766quqqjpy5EhdtmyZnjp1Sps0aaJffvmlFhUV6ZAhQ7RPnz6qqpqTk6NnzpxRVdWUlBQdNGiQqqouWLBAH3/88ZK8TpgwQd966y1VVc3OztYWLVpoXl6ejh07Vv/+97+rqurp06f15MmTF5SzrO8ayNeL/F7ixOj7BmgO1AbSgTaljmkBfA7Udz9Hun82wAks2wCo767Xv9j1KrvU7IG6W7fS6OlHYHgoTHwZGt8DCQnVnStjapykpknUDqlN4dlCaofUJqlpUpXT3LBhA0OGDCmZrqhBgwbs2rWLoUOHcuTIEQoLC0vCboATZiMsLIywsDAiIyM5evQomzdvZuDAgdSpUweAfv36XXCdvXv30qxZM1q0aAHAiBEjmDt3LuBMWDty5Ei++uorRIQzZ86UmddPPvmEVatWlbzfKigo4MCBAyQkJDB16lQOHTrEoEGDSq7hBfHA16r6LYCIvAv0Bzzj0D8CvK6q2QCq6g4YpQeQom4QWRFJAXoCi72VuWI1u4lv40YId6ewzy50PhtjrriEmxJY/+B6Xuz6IusfXE/CTb75j+ITTzzB2LFj2bVrF3PmzDkvfEZY2Llgpd4KbzFx4kS6du3K7t27Wb16dZnhOsBpyXrvvfdIS0sjLS2NAwcO0Lp1a4YPH86qVauIiIigd+/ebNiwoaKXDhWRVI/l0VL7GwMHPT4fcrd5agm0FJF/icg2Eel5Ged6Rc2uoJKS4NpazvrpWs5nY0y1SLgpgQmdJnitcrrrrrtYtmwZWVlZgBNaIycnh8aNnd/Sv/3tb5dMo3PnzqxcuZJTp06Rm5vL6tWrLzimVatW7N+/n2+++QaAxYvPPUh4Xm/hwoUl20uH3+jRowevvfZacdMan3/+OQDffvstzZs358knn6R///5kZGRUtPg/q2qcxzK3oid6CMVp5ksChgHzROTaSqRTaTW7gkpIgNH3otSC/11nzXvGBJG2bdvy3HPP0aVLF9q3b8/48eNJTk5myJAhdOjQoUIzlcfGxjJ06FDat29Pr169uO222y44Jjw8nLlz59KnTx9iY2OJjIws2ff0008zYcIEYmJiznsi69q1K3v27CnpJDFx4kTOnDlDVFQUbdu2ZeLEiQAsXbqUdu3aER0dze7du3nwwQe98M0A8D1wk8fnJu42T4eAVap6RlW/A77EqbAqcq5X+DTchvtI+BecF3Jvquq0UvtHAa9yrnCzVPVNd99ZYJe7/YCqXtj466HS4TYyV8DhNLhn8uWfa4wpU6CH2wgklQm3ISKhOBXO3Ti/vzuA4aqa6XFMT2CYqo4UkYY4HSaiAQV2ArHuoZ8BHYrfSXmTzzpJiEgI8DpwD05NvENEVqnqnlKHLlHVsWUkcUpVLy8+c2W0HegsxhhTQ6jqzyIyFvgY5wFivqpmisgUIFVVV7n7uovIHuAs8DtVzQIQkRdxKjWAKb6onMC34TYq0kvEGGNMNVDVtcDaUtsmeawrMN5dSp87H5jv6zz68h1URXt6/EZEMkRkuYh4tmuGu71PtonIgLIuICKPFvdS8UaPG2OM9/jy9YFxBPt3XN2dJFYDTVU1CkgBPLvV/FpV44DhwJ9F5ObSJ6vq3OJeKqGhNXtIlzH+JDw8nKysrKD/Aa1OqkpWVhbh4eHVnRWf8eWv+iV7ehS3Z7reBF7x2Pe9++e3IrIRiMEZ+WyM8XNNmjTh0KFDHDt2rLqzEtTCw8Np0qRJdWfDZ3xZQe0AWohIM5yK6T6cp6ESInKjqh5xP/YDvnC31wdOquppt/fInXhUXsYY/1arVq3zZmkwpjJ8VkFVsJfIkyLSD/gZOA6Mck9vDcwRkSKcZshpZfT+M8YYE8R8Og7qSqr0OChjjAkylxoHFSiqu5OEMcYYU6ageYJymwNPVfL0UJxmxkBmZfAPVgb/EQzlqGwZIlQ14B9AgqaCqgoRSXW7tAcsK4N/sDL4j2AoRzCUoSoCvoY1xhgTnKyCMsYY45esgnJUJlaKv7Ey+Acrg/8IhnIEQxkqzd5BGWOM8Uv2BGWMMcYvWQVljDHGLwVlBSUiPUVkn4h8LSLPlLE/TESWuPs/FZGmHvsmuNv3iUiPiqYZIGXYLyK7RCRNRFL9tQwicp2I/ENE8kRkVqlzOrhl+FpEZoqIBGAZNrppprlLZOl0/aQM94jITvf73ikid3mcEyj34WJlCJT7EO+Rx3QRGVjRNAOeqgbVgjPv3zdAc6A2kA60KXXM/wCz3fX7cKL6ArRxjw8DmrnphFQkTX8vg7tvP9AwAO5DXSARGAPMKnXOduB2QIAPgV4BWIaNQFwA3IcY4Jfuejvg+wC8DxcrQ6DchzpAqLt+I/ADzgDeK/q7VB1LMD5BlUTyVdVCoDiSr6f+nIs9tRy42/0fYH/gXVU9rarfAV+76VUkTX8vw5VW6TKoar6qbgEKPA8WkRuBq1V1mzr/WhcBZQaz9NcyVIOqlOFzVT3sbs8EItz/5QfSfSizDD7Ma3mqUoaTqlo8m0Q4UNyz7Ur/Ll1xwVhBVSSSb8kx7o3PAa67yLkVjQ7sLb4oAzh/sT9xmzoe9UG+y8xfGfm44JhSZbhYmocukaY3+aIMxRa4TTYTfdw85q0y/Ab4TFVPE7j3wbMMxQLiPohIRxHJBHYBY9z9V/p36YoLxgrKlC9RVWOBXsDjItK5ujNUQ92vqrcCndzlgWrOz0WJSFvgZeC/qzsvlVVOGQLmPqjqp6raFrgNmCAiwRtG10MwVlCXjOTreYyIhALXAFkXObciaXqTL8qAnotS/AOwAt82/VWlDBdL0zN8qD/fh3J53Idc4B38+D6ISBOcvysPquo3HscHzH0opwwBdR+KqeoXQB7u+7QKpBnYqvslmLcXnJeH3+J0ECh+cdi21DGPc/7LyKXuelvO72DwLc6LyEumGQBlqAtc5R5TF/g30NMfy+CxfxSX7iTRO5DK4KbZ0F2vhfOuYYw/lgG41j1+UBnpBsR9KK8MAXYfmnGuk8SvgcNAw4qkGehLtWfAR38ZegNf4vRwec7dNgXo566HA8twOhBsB5p7nPuce94+PHomlZVmIJUBp6dPurtkBkAZ9uNEWc7DaVtv426PA3a7ac7CnQ0lUMqA85+DnUCGex/+gtvL0t/KADwP5ANpHktkIN2H8soQYPfhATePacBnwICLpRlMi011ZIwxxi8F4zsoY4wxQcAqKGOMMX7JKihjjDF+ySooY4wxfskqKGOMMX7JKihT44hIXnXnoSwi0lREhld3PozxF1ZBGVNJIhJSiXNCL7K7KWAVlDEuq6BMjSYivxORHSKSISKTPbavdCfVzfScWNeN7/RHEUkHEtzPU904PdtE5PoyrpEsIm+JyL+At9wnpc0i8pm73OEeOg3o5E5e+pSIhIjIqx75C9i58IypDKugTI0lIt2BFjhzsEUDHTwm0B2tqh1wZkx4UkSKZ8auC3yqqu3VCadRF9imqu2BTcAj5VyuDdBNVYfhxPO5R52Je4cCM91jngE2q2q0qs4AHgJyVPU2nElCHxGRZl77AozxcxdrbjAm2HV3l8/dz/VwKqxNOJVSceTSm9ztWcBZ4D2PNAqBNe76TuCecq61SlVPueu1gFkiEu2m1/Ii+YsSkcHu52vcfHxXodIZE+CsgjI1mQB/UNU5520USQK6AQmqelJENuLMkwZQoKpnPQ4/o+fmCztL+f+m8j3WnwKOAu1xWjHKC2oowBOq+nHFimNMcLEmPlOTfQyMFpF6ACLSWEQicZ5Ust3KqRXOrN3edA1wRFWLcCYCLe5skQtcVSp/j4lILTd/LUWkrpfzYozfsicoU2Op6ici0hrY6gZTzQNGAB8BY0TkC5wZ4bd5+dJvAO+JyIPutYqfrjKAs24HjIU4M2w3BT5zo70ew7eh1Y3xKzabuTHGGL9kTXzGGGP8klVQxhhj/JJVUMYYY/ySVVDGGGP8klVQxhhj/JJVUMYYY/ySVVDGGGP80v8D071rR9LQ2BAAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
}
]
}
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