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@msakai
Created June 20, 2017 16:58
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Autoencoder vs PCA
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# AutoencoderとPCAの比較\n",
"\n",
"[『深層学習』(岡谷 貴之)](https://www.amazon.co.jp/dp/B018K6C99A/)の「5.3.2 主成分分析との関係」で活性関数として恒等関数を選んだ場合の自己符号化器で得られる表現は主成分分析で得られるものと実質的に同じと書いてあったので、比較してみる。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 共通部分"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"gpu_id = -1\n",
"batchsize = 128"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"import chainer\n",
"from chainer import links as L\n",
"from chainer import functions as F\n",
"from chainer import initializers\n",
"from chainer import optimizers\n",
"from chainer import reporter\n",
"from chainer import training\n",
"from chainer.training import extensions\n",
"from chainer.datasets import mnist\n",
"from chainer import datasets\n",
"from chainer import iterators\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline \n",
"from IPython.display import Image"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class Loss(chainer.Chain):\n",
" def __init__(self, encoder):\n",
" super(Loss, self).__init__(\n",
" encoder = encoder\n",
" )\n",
" self.loss = None\n",
"\n",
" def __call__(self, x, z):\n",
" y = self.encoder.encode(x)\n",
" x_bar = self.encoder.decode(y)\n",
" self.loss = F.mean_squared_error(x_bar, x)\n",
" reporter.report({'loss': self.loss}, self)\n",
" return self.loss"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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LNQrSb7zxhhCcXVxcRFc0/MT7devWRW5urqIe5nj27BkaNWqkepA+efIkGjVqhHfeeQeF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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1186512b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"train, test = mnist.get_mnist(withlabel=True, ndim=1)\n",
"\n",
"for index in range(100):\n",
" plt.subplot(10, 10, index + 1)\n",
" plt.axis('off')\n",
" plt.imshow((train[index][0].reshape(28, 28) * 255).clip(0, 255), vmin = 0, vmax = 255, cmap=plt.cm.gray_r, interpolation='nearest')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## まずはPCAの場合"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"PCA(copy=True, n_components=100, whiten=False)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.decomposition import PCA\n",
"pca = PCA(100)\n",
"pca.fit([x for (x,y) in train])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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UCWUOpcViwWq1ajKgQtYhv0RTemBgAJ/Px8bGBtvb2+pCDYVCqtlE2qa1OC/y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\ndBoAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12d4b8358>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for index in range(100):\n",
" plt.subplot(10, 10, index + 1)\n",
" plt.axis('off')\n",
" plt.imshow(pca.components_[index,:].reshape(28,28), cmap=plt.cm.gray_r, interpolation='nearest')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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x6w0GA+Lj47lNWE4oFApeP8bhcHBzz9mzZ7F+/Xq89tprSE9Px7hx47Bo0SIA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\nEMM/Sfvhhx9+PMT4/wDcd0JXYPq4XwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12a2b0470>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 参考までに符号化して復号化した結果を確認してみる。\n",
"decoded_pca = pca.inverse_transform(pca.transform(np.array([x for (x,y) in train[0:100]])))\n",
"\n",
"for index in range(100):\n",
" plt.subplot(10, 10, index + 1)\n",
" plt.axis('off')\n",
" plt.imshow((decoded_pca[index,:].reshape(28, 28) * 255).clip(0, 255), vmin = 0, vmax = 255, cmap=plt.cm.gray_r, interpolation='nearest')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 普通のAutoencoderの場合\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class Autoencoder(chainer.Chain):\n",
" def __init__(self, n_input=28*28, n_mid_units=100):\n",
" super(Autoencoder, self).__init__(\n",
" l1 = L.Linear(n_input, n_mid_units),\n",
" l2 = L.Linear(n_mid_units, n_input)\n",
" )\n",
"\n",
" def __call__(self, x):\n",
" return self.encode(x)\n",
"\n",
" def encode(self, x):\n",
" return self.l1(x)\n",
"\n",
" def decode(self, x):\n",
" return self.l2(x)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"epoch main/loss elapsed_time\n",
"\u001b[J1 0.032984 2.44342 \n",
"\u001b[J2 0.0106468 5.08864 \n",
"\u001b[J3 0.00783719 7.46106 \n",
"\u001b[J4 0.00675758 9.8174 \n",
"\u001b[J5 0.00627957 12.1987 \n",
"\u001b[J6 0.00608246 14.6533 \n",
"\u001b[J7 0.0059641 17.0617 \n",
"\u001b[J8 0.00593082 19.3923 \n",
"\u001b[J9 0.00590222 21.7949 \n",
"\u001b[J10 0.0058987 24.349 \n"
]
}
],
"source": [
"encoder1 = Autoencoder()\n",
"loss1 = Loss(encoder1)\n",
"if gpu_id >= 0:\n",
" loss1.to_gpu(gpu_id)\n",
"\n",
"optimizer = optimizers.Adam()\n",
"optimizer.setup(loss1)\n",
"\n",
"train_iter = chainer.iterators.SerialIterator(train, batchsize)\n",
"updater = training.StandardUpdater(train_iter, optimizer, device=gpu_id)\n",
"\n",
"trainer = training.Trainer(updater, (10, 'epoch'))\n",
"trainer.extend(extensions.LogReport())\n",
"trainer.extend(extensions.PrintReport(['epoch', 'main/loss', 'elapsed_time']))\n",
"trainer.run()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Jx+NMTEygUChwOByUSiUCgQClUolNmzZdESCWy2W6u7uv6trXvNwhogLhlLZu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\nuXPnMD09jfb2dmacEMuB2FOhUCg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CU1MTX1jrhbtIBzpTjI2NQaPRMFOEgk5paSlXe0ql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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x129853550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for index in range(100):\n",
" plt.subplot(10, 10, index + 1)\n",
" plt.axis('off')\n",
" w = encoder1.l1.W.data[index,:].reshape(28,28)\n",
" plt.imshow(w, cmap=plt.cm.gray_r, interpolation='nearest')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"正直、人間の目ではそこまでPCAの結果に似ているようには見えない。 ただ、最適解に任意の正則な $D_y \\times D_y$ 行列 $Q$ の分の自由度があるせいかも知れない。"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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HjuDgwYP48ssvUVhYiOLiYqSlpfWIBnYKt7e3o66uDgBw1113wWazwePxQKVS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Ylvv/0WS5cuhcPhwLRp09C/f3+0b98egYGBKCsrw6JFi/CPf/yDU/2KCSLi7ensudi5cyfWrl2L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\nAAALQ5IGALCwvwDM9bRxWbHlYQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x129e38a58>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 参考までに符号化して復号化した結果を確認してみる。\n",
"decoded1 = [encoder1.decode(encoder1.encode(x[0][None,...]))[0,:].data for x in train[0:100]]\n",
"\n",
"for index in range(100):\n",
" plt.subplot(10, 10, index + 1)\n",
" plt.axis('off')\n",
" plt.imshow((decoded1[index].reshape(28, 28) * 255).clip(0, 255), vmin = 0, vmax = 255, cmap=plt.cm.gray_r, interpolation='nearest')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## PCAの結果を初期値に最適化してみる"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"encoder1.l1.W.data = pca.components_\n",
"encoder1.l1.b.data = pca.components_.dot(pca.mean_)\n",
"encoder1.l2.W.data = pca.components_.transpose()\n",
"encoder1.l2.b.data = pca.mean_"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"epoch main/loss elapsed_time\n",
"\u001b[J1 0.00716093 2.76481 \n",
"\u001b[J2 0.00594221 5.61403 \n",
"\u001b[J3 0.00592376 8.28916 \n",
"\u001b[J4 0.00591599 12.0659 \n",
"\u001b[J5 0.00591387 16.6228 \n",
"\u001b[J6 0.00591382 20.8787 \n",
"\u001b[J7 0.00591488 24.1991 \n",
"\u001b[J8 0.00591598 26.848 \n",
"\u001b[J9 0.00591721 30.9524 \n",
"\u001b[J10 0.00591816 35.0679 \n"
]
}
],
"source": [
"train_iter = chainer.iterators.SerialIterator(train, batchsize)\n",
"updater = training.StandardUpdater(train_iter, optimizer, device=gpu_id)\n",
"\n",
"trainer = training.Trainer(updater, (10, 'epoch'))\n",
"trainer.extend(extensions.LogReport())\n",
"trainer.extend(extensions.PrintReport(['epoch', 'main/loss', 'elapsed_time']))\n",
"trainer.run()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Uj1frCehZni77TOB9gnqRyku45e01m001R1qlqoey1u514VMXmtxWq6Uggi6X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KAAAg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\nD1t9+m/v6gyMAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12a555b70>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for index in range(100):\n",
" plt.subplot(10, 10, index + 1)\n",
" plt.axis('off')\n",
" w = encoder1.l1.W.data[index,:].reshape(28,28)\n",
" plt.imshow(w, cmap=plt.cm.gray_r, interpolation='nearest')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"最適化しても、PCAのときの表現がほぼそのまま残っているように見える。 これはPCAが最適解(の一つ)であることを意味しているはず。 \n",
"ただ、1エポック目でロスが少し大きいのが少し気になる。\n",
"重み共有をしないで済む分の自由度の分だけ、そこで最適化された?"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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XLlxo05Faql56wdi7dy899NBDpNVqafz48byeyIQJE+jHH38korZF7sOlIzjL\nlPFB3JPS5XLRxo0bqby8nFpaWig/P58mTJhAzc3NvKbKf+dqu+lgdW7E885ut1NTUxMREb3zzjtU\nWFgYUDeD0W4wGALqnkg1LhaLhTcgsFgs4i7g9NNPP1FjY2MArQyiuXrFz+7QetLARemvc+fOGDVq\nFM6dO4c9e/agpaUFgP+Eamho4EktDFKchkQXEx+Yum4wGKBUKnmOvSAIAUk2+/btQ1lZGfbs2YOi\noiLceuutvL5yeyGXy3mfQ51Oh8TERMyZMwdGoxENDQ3IyMhAdXU19uzZg0OHDgEAz8oMVp3CgXhc\nAL/qzhoxHDt2DGazGdnZ2Rg9ejQA8FoFRMQluOB7hItgm2ZcXBx8Ph83C7FMTIvFgpSUFF55TsoW\nWgACzAYymYxne1ZXV+Of//wnamtrodPpeGnVWbNmAQhtrrlaBNmUAQAfffQRPv30U0yYMAFff/01\nzGYzfv3rX6O4uBiDBg1CYWEhGhsb0bVr1wC6w0Hw95mJCfDXeFm6dCmsViu2bt2K/Px8jB07FidP\nnkSvXr14wo0U65ZJzA6HAwqFgmvXmZmZAPw+k759+/J5Cvhr32RmZvJkElaoXyokJCSAyF8xkbUW\nO3nyJLZu3Yq//vWvyMnJwbhx4/D6668HJNawuXpVCONkueoTKFT7Gb1eTw899BCNHj2aAFBubi6t\nWrWKiCjgOqmqz10K4joNs2fPpsLCQtJqtdSnTx+aOHEiPfnkk/TZZ59RZWVl2HSwOgysVVgwbDYb\n/f3vfycANHjwYPrqq6/IbreT0Wgku91ODodDcn4waePo0aM0e/ZsUqvVtGXLlsvyjEkrUkhsrB4C\nk1xZCyQioh49elDfvn05nUSBLZKYxCslP4j82t4rr7xC06ZNoxtuuIEAUFpaGhUVFZFWq6WMjAwC\nQA8++CD/jhRdy4M7hLtcLpo/fz5t3ryZiPySmtPppNWrV1NSUhJlZWVdZpSk4YfH4+Et79577z3K\nzc2l8ePH04cffkjnz5+nN998kzIyMmjChAl0+PBhIvKPVWtra9iStNfrJbvdTo2NjXzOMc2muLiY\nJk6cSGfPniW32x2ynkok+BGMb775hmQyGRUWFtJbb71Fv/vd7wgAHTx4kIguVsNjc/xqnt2hNmmx\nPYnZstLT0zF8+HDeeNZkMsFgMARczw6TcMG8rswrzSquARe7PBw7dgyrVq2CVqvFxIkTUVhYiIED\nByI9PR0jW8KkAAAgAElEQVRKpZJfFw5Yx2Fxai1rnul0OrF06VJ8+OGHSEpKwoIFC3DbbbdBEAQk\nJyfDarVCoVBIXm2NtR767rvv8O2330IQBIwfPz7gGtYYAQi0E4YLNs5ExOu22Gw2Ls3abDbU1tYC\n8EuqZrMZcrmc1zkGpGm8yt4J8M/DnTt34q9//SvMZjMAYPz48Zg6dSoKCgqwe/duFBcXo7S0NKB2\nBusYE874MOmT0aJUKjFnzhwUFBQAAHr37g2FQoHu3bujW7duOHXqFC+AL/6++H3Chd1uB+C3yTc3\nN0OhUGDKlCmYOXMmHA4Hjh07Br1ej/vuuw+DBw+GXq9HTEyMZDZy1nKOvQ/TbEpKSnDvvfciLy8P\nAPiaEgQBDoeD14uXAkQXIzfYGmbjvXHjRowZMwYvvvgiRo8ejb179+KLL77g+5rdbm+3jb7DHYds\n8spkMjgcDjidTuzduxcnT54E4C+R6XQ6AVzMewek634s7gTtdrsDGhAcOnQImzZtwty5czFx4kTc\nfffdAY4Ri8UiSelBFpLDHBt6vZ73Vty8eTM+/vhjXLhwAW+++Sbuv/9+AG1bV4WL4AXMisbrdDpc\nuHCBR7lYrVa4XC6UlpZi586dmDp1KgYMGMAPKylLhIr/Ze2XAL+ZhW3eSUlJsNvtEASBFzSSYhMA\nAjdHvV6P4uJivkH3798fr7/+OgYOHAjA3zHnyJEjuO6663D99dcH3CfcA1S8RhhuuOEG/n/Go86d\nO6NTp044duwY6uvrucPdZrMhISFBkoOcHZzx8fGIiYmBxWJBbm4usrOz0dTUhP379+Odd97B6tWr\nkZ2djTvuuIN/j7XzCre9GjuQ2aHNxkmv1+PYsWN45plnAr7DyjuIO4pLAVa43+VyITExkY+P0WjE\nTz/9hFmzZnGTS1lZGdxuNz80WOGndiEM8f+q1ASmntvtdq6yrF69mhf8Zz8JCQn0+uuvE1Hb0p1S\nqCusMLoYXq+XnnjiCZo6dSodOnSIiPzmD7fbTc3NzdzwL6VazQrtezwe/p5//vOfSaVScV5cd911\ndNddd9FLL71EFRUVoTqWh0VHqPKj2dnZvIC7z+ejEydOcHpGjBhBSUlJNGfOnADeScEPBubMFTt7\nunXrxhsfiLulMyeM2AEsFT/+9a9/UXJyMs2ePZv+85//kMPhILPZTGazmV577TXKzMwkAG3KhEbC\ngen1egMaCjDT3IkTJ6h79+7UqVMnfv3+/fvp9OnTkjnKxGVBxXx//PHHCQCfL48//jhviBDcgV5K\nftjtdtLpdGS322nKlCk0atQoIvKbYCZPnkwzZsygl19+OeB6qRzLbK4FdWOnyspKys/Pp8GDB9PY\nsWOpV69e9NprrwWUYGb7X3vWS4dnHNpsNrS2tgLw9zScM2cOUlJSuIRqtVq5ait1nCMRhSwCfu7c\nOfzwww/o06cPl5TsdjusVivi4uIka6oppoMF4TOV0OPxYNCgQZgzZw60Wi26dOmCEydO4Msvv8Tf\n/vY3fPbZZ9i7dy+/h1RNEFgAPgDU1dWhsbERqamp+O1vf4ujR49iyZIlAIC33noLb775JsxmM/R6\nvaR0iGE0GmG32wNMUWIaPR4P7HY756GUhfaDNYvRo0djzpw5GDZsGNRqNRITE+F0OvHee+9Bp9Ph\n1ltvRZ8+fQAEVgeUEmzuaTQavh6YFlNVVQWTyQSFQoEDBw7g0KFDqK2t5fG5UkCsuVmtVv5ZdnY2\nAH9pztmzZ+P3v/89L9F5qdh/KcC02fLycsjlckyaNAlnz57Fd999h/vuuw9arRbffPMNv97tdvMm\nBOGClSkVh/YB/jHPz8+H0WhESUkJYmJiMH78+IASzGGF4YVxsrTrJAwFdsqwwuLDhg0jIgp2kF31\nCRSKDnaSnT59mjZt2kR6vZ4MBgMVFxdTdnY2JSUl8QcxyZVJvXa7XezQCosOsQSt0+kCHGUMa9eu\npfnz51NKSgoBoOuvv75NIfpw6WBOO5vNRi+//DL17duXKioqyOFwEADq0aMH2Ww2WrlyJV133XW0\ncOFCrm1IoVkES/NMAhR/zsIziYiHvJlMJu4kYmGVUvCDIbg9l9PppNLSUho/fjwBoEWLFpHD4eBh\naJFqCiEIAhkMBtq4cSMtW7aMFi1aRAMGDKA+ffpwx6VKpaJ7772XZs6cSe+++y4dOXJErIWGPS7M\nWUvkn6tPP/00AaCkpCRKSkri48DGRsoQzaCx5WtyyZIlNHLkSHr33XfJarUGhLytXbuWt9JyuVzB\nayssfrD1QkRtwjJLSkooPz+f/vOf//DPxFJ3e+dHh4bgiR0qTqcTTqczoLnqgQMHAADdu3cH4LdP\nW61WaDQaSYt2A36Hw9atWzFo0CB0794d48ePh1Kp5A4JFm7GvsNaCUll54uJieH3F4f8sW7lADB5\n8mSkp6fDZDJh7dq1OH36dESkFJbtaTAY0LlzZ+Tl5XGHx1133YXS0lKsW7cOFosFM2fORK9evfh3\npQ7zEtukmT2ThTgBfg2HJdbYbDa2gCRrysAWBpOWHA4HHA4H0tLScOzYMezcuRO33nor7r77bqjV\nai7psjksdefyb7/9Fjt37sTHH3+MxsZGqNVqdOrUCWq1Gnq9HkqlEr/97W9x2223wWKxIC0tDVlZ\nWZJ1cSciOJ1OnsDz97//HStWrAAA3Hzzzdi9eze3/TJbsPj9pZgfRIGhuOzf5ORkdO/eHRqNhte7\nTk5ORmZmJnd0MkeflMlwzE+l0WhARLzxbXV1Nc6ePRtQT1rcOLq9vOiQTVo84A6HAy0tLcjNzeUx\nl6w/HOuvV1hYeJFAibO52IFx8uRJHDhwAGvXrsUDDzwAl8uFhoYGTJkyBYB/wrHNkzmopFStg9Hc\n3Ayn0wmNRgOFQoGWlhbk5OQgPz8f+fn5APzqptQmINbDLiEhgS/w+Ph4tLa2okuXLjCZTFiwYAGy\nsrLwxBNP8A2ayB9rzvgpFVwuF2JjY3l6LQBeT4U912AwIC0tjWd2eb1eyfhCRLwmBOA3v+Tk5AAA\nvvrqK/h8Ptx5551c3Q/u3i5FVIX4+5s2bcIHH3yAX//61xAEAb1798asWbNw7Ngx3HvvvZg8eTJ+\n97vf8egG8SEvBcTO+6amJnz44YdQKBT429/+hubmZuzatYtvoowXLNKECTVSzg+xiUE85nq9nvOg\nrKwMI0eO5LRIuYewWi0MTGhSKBQ4dOgQZDIZj/Zh4yjucN6uudFe8f8qfgLU0YULF1L37t1p2bJl\ndOjQIaqsrKTPPvuMxowZQwBo4cKFpNfrQ3bSvlo1IZgOMTZv3kwvv/wy3XDDDdSjRw8qKiqiL7/8\nkogowEHHYLVaJXNQBTtWtm7dShMnTqQdO3YEfF5aWkrPPPMMZWVlkUwmo/nz54dyprabDmZyYe+7\na9cuAkAymSzAmfv888/zh5nNZnI4HKGcjpKMCzPniONd+/Tp06ZjupiHUpoZWIacwWDgNLS0tNCC\nBQtIqVTS448/zh/EzF+XoCVsOoiICgsLKTs7m9/f4XDQ/PnzCQD985//JJvNxp2al0BYdIjjkhcu\nXEijR4+m5uZm/43/aw5ja1VsFhEEQbKu5WKwZ23cuJFmzZpFixYt4n8rKyujBQsWBMStW63WiHQt\nNxqNZDAY+O8//vgjdenShRYuXMg/M5lMRBToNGyPebDDJGki/+lz3XXXISUlBe+88w4++eQTJCUl\nobq6GrW1tZgxYwZmzJiB9PR03j5JfJhIeSKPGzcOo0aNwpQpU+BwONCpUyf07NkTAAIkOLEaK3Wn\nbsCvvh88eBAlJSWYOnUqioqK4Ha7UVVVhccff5ybgMaPH48pU6ZISgPLgmKS0qBBgzBlyhQcPXoU\nLS0tuP/++9G/f3/MmTMHgL+WSVxcXESLKzG1Wjz2OTk5qK2tvWQIpJTzgknQLLPN5/Nhy5YteO+9\n93D//ffjiSee4Nd6PJ42xbekooWp59dffz1KS0vx29/+FufOnQMA7NixA/n5+XjkkUcA+DUsm80G\ntVotuabF3ocVDxowYAAMBgM2b94MAJg9e3ZASzcGKeepeO2zfwsKCnD06FGcOnUKb775JjweD0pK\nStC5c2fcfffd/HuRKn4ljnm+cOECFi9ejOuvv55nngKBhcGA/49qd7CT5ZNPPqFnn32W7rnnHsrO\nzqapU6cGOMWY5Bqi464kdFitVrLZbDzMzmKxBJyMQWE7RHSxg3m4dLD7er1ecjqdVFJSQnl5eQHS\nK/4bjjhu3Dh67LHH6PDhw5fKppKEH1fQDTwATDqQelwYxFrL7NmzKS0tjQ4ePNhGcg1Bv6R0/PnP\nfya1Wk0JCQltOkUT+eeE2JkUCTqsVisVFxdTaWkpNTQ0cG3q/PnzAdc5nU5On9R01NfX06uvvsrn\nZm5uLpeoGVhmYCgneDh0+Hw+crlc5PP5qLW1NWCdOp1OOnHiBJWXlwdI8mxcpKQjFD7//HMqKiqi\njIwMImob7MAcy0HZuVdFxy9SBS8mJgZ33303HnjgAQD+egiJiYk8tIhJEcz+FCkaiPz2R1ZngDk+\nWMJLsDQglW1LLBX4fD4MHDgQf//733HmzBlUVFTA5XLBZrPh9ttvR15eHtLT09GvX7+IVlvzeDxw\nOBw8i4qIeId31mBUbI9nUgFRZEpSWq1WLrFPmDABWq0W+fn5lyzFGQkaGhsbUVZWBkEQMHr0aB6C\nRXQx3E7sUGafSwF2L1Y3RJz9abfbeQ1nMdpdG+IKkJ6ejkmTJuHkyZOwWq0YMmQIXzfBzxd3WZcC\njO+AX0JnyU0KhQKxsbHcZ8PAMoojXZ1QEARs374d586d48lGYi2TzQ2ii/bz9szTX6QRrc/ng9Fo\nhFqtRmxsbMAgsBrOzFHHCsyLaZaCDrExn4F1iGYbklKpvJz6KHnxcLEH2mw2B2Q1BV8ndVF3cbfn\n4BKPbExkMtnlTB2S8kPsAGtpaYHVauVRPz8DSehwOByoqanBokWLYDQaccstt+Cpp57iWbLMsy9u\nDBGJ7tgMTGC5XBSLeGOPBB12ux3Hjx9HSkoKevfuDeCi44w5e9mhHWLdSNYEgdFis9kgCAIv8M8O\ny5+J5JCMHw6HA2+99Rbq6uowcuRI3HPPPQF/dzqdnJYQ5p9rqhHtFXV4EAd7/4x01iGdN9ii6IjB\nvsLndQgdl7z4v6pXR/FDDCaNXKFkJCkdLB0duFhzRRzt80vP0ytAh9HR0etWvGaY5ncF0VeSr1u2\nLphmzHxwP7OWr6lNOooooogiinYi2og2iiiiiOIaRnSTjiKKKKK4hhHdpKOIIooormF0RAjeZY3e\nl3KYiT3VQQ6JiDpCgj3Dl/EUdxgdrBN0TExMKOdZxKIIGN9Z1MfPOO4ko0NcI4XI3xHa7XajpqYG\nJpMJiYmJyM/PvxQ9ERsXp9PJo5GuAJLRIQ5FFYeWXYEzVzI6WGjdlYa1sbkjqsf+izhSxeG8/+VT\nROhg4ZjAxVR6cRPaELhiOn7RbuGsI7hSqYRcLofNZkNMTAx/WZlMhtjYWMnz/y8HMVNZSVWVSsVD\nz6SOC77U/cR0sE1KXL4zUmAT2ul08kXpdDoDunMDofvwSQF2Xwa32w2z2QyLxYK9e/eCiNCjR4+A\nMpBSIziUTRAE2O12WCwW3k2eZUZ2BMQdhcSHpd1ub1MMH5CuMYQYVzvvxV2YpCw6Fdyd/OcQdqfu\nKwQ7xFjYLosACr6mPfU7OnyTZsVrWLgK6/oA+GNjjx07hrNnz2Lq1KmIj4/ngelSppleatKwFlYn\nTpzAp59+igMHDmDWrFkYMmQITxmXGqEGq6mpCV6vlxf2CW7OeoUSVLsg3qATEhICeM+KQOXm5vJw\nNHGbp3DhdrvbhFCx1PXjx4/jqaeewrBhw9p04mB0S9m9hyX1AP4EhdbWVnz66af48ccfYTQa0bNn\nT9x888148MEHA74r9SHOaHE6nYiJieHCgsPhaFNISS6Xw+VyQS6X8x8p6QjeHGtra2E0GjFo0KBL\nfk9qGlh7PRZHr1arkZWVFZGSDVdCj8vl4nuZ0+nk48PGi4EVArsCjbQtwkiTvOJ0StZNQ6/X06FD\nh3g6qcFgoAsXLpDFYuEdLpYvX04A6MiRI0TkL2Ris9kkabx6JanP58+fp9tuu40yMjIoNjaWANCM\nGTNCpSKHlV7KUokNBgO1traSz+ejlpYWnvptNBrp97//PU2cOJHGjh3L+WO1WslqtZIgCGE3+GT8\ncLvdvPiLuG62IAi8Hm5lZSUVFRVRXl4effXVV0REkqUfB9cuZnV6xc1Pt2zZQgBo3rx5dPr0aX6t\n2+0ml8slLsgV1rgQ+VN5DQYDHT9+nKZPn87nQaifoqIi+vOf/xxQyCfcRrTBtLD7OhwOstlsnDdE\n/g4yL730Ev/dZDKRzWYTFzVrNx1sfE0mE33zzTf0yiuv0MMPP0wTJkyghIQEUigUnDdarZby8vJo\n6tSp9NFHH5HVauXjEy4drPny8ePH23RyAkADBw6kwsJCGjhwIBUUFNC8efM4n0JAknEJbqjNeM+6\n97D9wul08vFoLx0dIkkzaaC+vh7r1q1DUVERpkyZApfLhZycHHi9Xl7IKDU1FXFxcSgvL8egQYOg\nUCh4S3Spy4Ta7XaeWgoAq1evxtatW7F9+3YAwD333IN169bxLhBSgshfp1ehUPBiLUSElJQUVFdX\nY/Xq1aipqYFWq0VZWRkqKirQp0+fgCSKcGkSl/8k8qv44pOe8fzChQvYvHkzDh8+jKFDhwaYPjwe\nT9hFfYILFDFaampqIJfLYbFYsG7dOuTl5WH06NHo2rUrfD4f4uLiJJ8TzGRQV1eHo0ePYu3atfxv\nY8eO5f0oDx8+jNbWVpSVlaG+vh7PPfdcROYIkb/2uNlsxpYtW9ClSxcMHz4cgiDg+PHj+OyzzwL6\nCCqVSsnMg8ym7PP5UFpaio8//hhnzpzhf8/OzkZjYyMAf3cjjUaDDRs2oLq6Gn379kV2djbS09Pb\naILtgdlsRmVlJS5cuAAAyMrKQlNTEwDg+PHj8Pl8UKvVEAQBNTU1GDp0KMaOHYsePXqE/exQiImJ\n4RmPgiDwuvjBZQtiY2MvWcrgStEhm7TFYoFOp8O2bduwdOlSTJo0CbfffjsSEhJ4ynHXrl3x/fff\n4x//+AcvtM7qBkcK8fHxcDgc+Ne//oWVK1fiwIEDvHFkt27dMGrUKHz99df46aefJH+2z+cLsCca\nDAakp6fD6XTikUceQUFBAb788ksAwOLFizkfBEHgaaZE0qnWjB5Wz1m8cc+cORO7du0CAGzcuBFp\naWkh0+qlgFiFZwssNzcX9fX1ICJYrVaoVCq43W4olUpYLBbe5FOKCnByuRyxsbE87bmkpATJycno\n1q0bb1gMAMuWLcO//vUvnDx5km9EwY0t2gtxI1U2Bi+88AKOHDmC1157DXq9HpmZmSgtLcW+ffvw\n7rvvwmaz8XRspoaHKKlwVWAmk9TUVNx4443o3LkzBg0ahLS0NMhkMnzzzTdQqVRYtWoVSktL+ffK\ny8u5wCHFmLCa5xaLBQ8//DDGjBmDqqoqxMfHo7a2Fjt27IDb7eZVAo1GI/7nf/4HvXv3RmVlZdjP\nDwUi4nM1Pj4eXq8X//jHP3DgwAG0trbCZDKhoaEB9957L/7whz8gLi6O19m+Wn9Gh2zSzKbGHIIO\nhwMWiwUpKSm84DwApKWlcWmkc+fOfGOSsiNK8KT9+OOPsXTpUlRXV2PkyJFQKpXYtWsX7/ogCIKk\nRdQZxF2uXS4Xf9f169ejX79+mD17NgBg7dq1eP/993kxqpiYGMkciGwjZpK5mD9MQm5tbeUbtFar\n5XSycWp3IfPL0NTa2oqmpibI5XK8++67cLlcGD16NHbv3s2fbzabkZ6eziVNqaVYlUrFnZOtra18\ns7FYLHj77bfx5Zdf4uTJk8jNzcXEiRN5DQ82puGAzY3Y2Fj+XqdPn0ZOTg6GDh2KY8eOISEhARs2\nbIDJZMKAAQO4tsl8BayGhVSaxs0334zk5OSAcVapVJDL5Vi+fDmnGwCGDh2K3NxcJCYmSsIPNuf7\n9u2LQYMGoaCgAFVVVejevTsqKipw//33Y//+/Th69CjOnz/PSx+fP38+7GeLITZBMLoOHDiAr7/+\nGjqdDv/4xz9ARJgzZw5cLhcqKytRXl4Oo9GIxMTENg0irhQdsklrNBokJCQgJSUFnTt3RlVVFd+w\nxadKXV0dbynFmlo6HA54PJ6QdYSvFqEqtz333HO8DdETTzyBQ4cOYc+ePXjwwQcxYsQIZGZmtols\nCAdsgNnmAoBHbuj1eqxfvx5/+tOfMHDgQJw5cwarVq1CTU0Nd1yqVCrJpOgAu9d/N322GTFJlUlI\ncXFxmDdvXpu2VlJsAl6vl0vyFosFJ0+exGuvvQadTodTp07hqaeeQnZ2Nn744Qe0tLRweoCLG1qk\nOuYAQFJSEmQyGaqqqvD999/jn//8J6qrqwH463yzCnVSOetCRc243W4+D5nkXl1djezsbCQkJECl\nUiE+Pp4746XuIsRMcsxB6/V68dZbb/HxUqvVsFgsuPHGG3HfffdxrUOKw1ulUiE9PR0Oh4NrOKwL\nC+vi1LdvXyQnJ6OkpATfffcdlixZApfLxeeoFHOV8Ra4uH7feecdrFmzBjExMejSpQvGjx+PZcuW\n4eWXX8bWrVvRs2dPZGVlhVeDPQxD+hUb3F0uF+l0Otq7dy9NmTKFANDixYtpzZo19MUXX9AjjzxC\nWq02wEGzdu1aIvI7F2tqaiSrj+vz+UgQBPrxxx9p0qRJNHLkSFq2bBmVlZUREdGhQ4cCulzcc889\nvDFuENpNh8/na9Ng98cff6SRI0fyFvU+n49GjBhBKSkpvDNKcCt5Kfjh8XjadBZh9W/feecdyszM\npKKiIiotLQ24xu12kyAIkowLc/wJgkANDQ106NAhWrlyJW3cuJHOnj1LRETr168nALRixYqAl29t\nbQ1uCBoWP8Tvx96N1fwuLCzk81Or1dJLL710qdrJktDBaCEievzxx2no0KE0e/ZsampqIiKi1NRU\niouLo6eeeoqI/A56q9VKLpcr7AbB7Mter5dsNluA876kpIQGDhzIeZGdnc3/r9PpIsIPt9tNLS0t\n5HA4yGAw8LliMBiovr6efD4fORwO2rhxI02bNo0A0KOPPsofLgU/PB4Pn6fMabh27Vr6/PPPqaGh\ngT9LqVQSALrtttvaMOGarSctl8uRkJCA3NxcfgKWlpbik08+gcPhCFBLmPFfr9cDuFgBTUp1mojw\n/fffY+vWrdi0aRPuuOMO/vfrr78egN+pGB8fD4vFgoaGBkmezSB2+jHJRK/XIy0tDcOGDQMAHDly\nBAcPHsS0adMwc+ZMfq3UEIfQMXWd1Ux+//33odPp8MILLwT0nWRlTaUaE7GKnpycjOTkZD4ODFqt\nFkqlEk1NTWhpaYFCoUBycjIfT6nAnNxMo2hoaEBJSQneeustlJeXIyEhASNGjEBBQQGmTp0a4BSS\nugkt4A9LTUhIwO23346amhqUlJTg/vvvR58+fWA0GtG9e3fk5eWBiHgcNZF04ZlyuRxxcXG8NGhS\nUhJyc3MxYMAANDQ0wGq1cuehUqlEbW0t7w0qlabF6GA1u5lZh/WZZDhx4gR++uknfPXVVygsLMTE\niRMDvi8FWFll5je4//77+d8sFgtWrVoFt9uNoqIizJ07F0BgTkG71kwYJ8tVn4RERNu3b6dhw4bx\nk1ej0dDIkSNp3rx5dPvtt1OvXr0IAP3xj3+kM2fOtDmJwqXD5/NRY2Mj74Ry7tw5IvK3qne73WSx\nWAJ6HAKgzp07S0ZHcChOfX09CYLA+dKtWzcaPHgwAaDly5fz64Ilb6n4QdS25yIR0erVqwkA9e7d\nO2ToIgvZk0piE4OFJXo8Ht6tR6/XEwB6//33L8UHyelobm6m/v3787laXFwcLLXzec2kO6npYD0M\nxWhqaqIzZ87Q2LFjadeuXUR0SS1LUn4EvzORv+fl448/TllZWXy+bNy4kYjaaIxh7x8srI7NO7PZ\nTC6Xi2pqamjZsmV8nDIzM6mxsTEi/GDznWktbG1YLBYaNGgQAaBt27bxz9n4tba2BmtdV/zsDktm\nYSeIy+XiLdCvv/56DB06FHfddRd69eqFsrIyvPvuuzhz5gzUajUcDoekNJB/k4TBYEBVVRUA8Pbr\nzCtut9uRmZkJl8uFffv2AQAmTZoEr9fLPebhOO2CT1JmY+7duzfGjBkDg8EAq9UKnU6HadOmAZC+\nA3QwiC5KooIgYNeuXXj77behVqsxf/58zrdQnVkigdTUVP5/1q0nNTUV/fv359E3p06dgkqlglar\nlfTZRH6trba2FsXFxTh+/DgAYPr06QHdUQB/9xjW9/Hs2bPo1asXUlNTJcsK9fl8PHxN7GDPzMxE\nZmYmHA4H/8zpdHI7vZSOdsYPsbblcrngdru5r+jmm2/Gli1b0NTUhPT09AB7tFSStEKh4PdyOBzc\n/n7+/Hn85S9/wZYtWwAAgwcPxrx58xAfHw+j0Rgwl8IFUaCGwrRJt9uNDRs24OjRoygsLMTIkSO5\n452NX4j09CtGh23SbCPIzMzE6NGjce+996Jfv37o168f+vTpAwDIyMjgDpn6+noYjUbJaXC73bBa\nrfwzpq6mpKTA6/UiMzMTNpsNn3/+OdatW4f8/Hw88MADMJvNkjtjAPBohR49euAPf/gD4uPjsWDB\nAgwYMADdunWD3W7n2WWCIHAHm1Thb0xFZo7C2tpafPbZZ9i/fz9mzZqFWbNmQS6Xw2AwIDU19arq\nN4QDl8uFw4cP48yZM8jJyUFzczNcLhf2798PIsLBgweRn5/PM/6kosnlckGlUuH777/HqlWroFar\n8atf/QoLFiwA4O8S43K5cO7cOZw9exYHDhyAIAjIy8vjzWulcHIzJ1VwjK3JZEJKSgr0ej18Ph8/\nvEltOGoAACAASURBVNkzbTYbDyMMd66yGGlBEJCcnMxTsuPj42Eymfh1drudp8pfd911V9pB56oh\nk8mg0+m4k/LIkSP4z3/+w2PZZ8+ejSeffBIDBgyA2WyWdIMGAgMOvF4vFxg+//xzvPjii8jOzsai\nRYsQHx+P1tZW7nAGLmYNiwWiK0WHbtJEhKFDh2Lo0KEBdpra2lreSquoqAgtLS346KOPIJfLMXjw\nYMnqJMhkMqhUKnTv3h35+fk4efIkhgwZgiFDhqCwsBC1tbVoamrCqlWrkJmZibvuugtff/01AP/i\nUKvVkm0GbLBkMhkcDgfUajWys7NRXV2Nbdu2YfXq1QD8g8ukhkh06WYRCYyeNWvW8GcvXLiQp9uK\nQ+/Ek1UKMOnC6XRi27Zt2L59O959913+95tuugl5eXm44YYboNFosG/fPqhUKgwaNIgnXEiRwCF+\nr7Nnz2L//v1wu90oKSnB9OnTkZKSAp1Ox7UwMVauXAkAYScuABdrdbCDM1QX9Q8++AB/+tOf0K9f\nPwAXO1JLGXYXExMDnU6HHTt2YPv27ejTpw/69euHpKQk5OTkoLW1FRs2bMB7770Hm80GAOjevXtE\nU7Q1Gg00Gg1qamqwYsUKfPbZZ7j++uvRt29fzJs3D06nE0ePHsWgQYNgsVjQ2tqKzp07S8ITNtfE\nCVx33HEHvv76a9x4440oLS0FEfGDFLhYakJ8j6tFh2zSRH5nlMVi4X37HA4H76en0WiQlpYGo9GI\nkSNHQhAEbNiwAS0tLWhubuaJAuEuQvb9zMxMPPvss/j000+xdetW/Pjjj+jatStqamoAAGPGjMHc\nuXMxZswY/l1WBEoqNZ9J9UzqYbRt27YN06dPx6hRo2A2m3nCjxSLPxTY+7BJzJy43bp1g1ar5YuP\nbaTB7y+Fs4x9X6VSwWAwoKysDAqFAnPnzsW4ceOQn5+P3r17w2w2A/DXEElOTkaXLl3491kYY7hg\nfBgzZgzOnDmDf//732hubkZzc3PAdZ06dUJubi6ys7MxZMgQDB8+HBkZGZLMD3YQKpVKCILAw+/Y\nOnK73Th8+DBuueUWAOAJSMBFiU2KQ5TVozCZTFi7di3i4uJ47kBqaipMJhPXfAH/+A0ZMoSbEKUG\n2zMA4IcffsDp06cB+EN3dTodMjMzeZYsk/rvvvtuZGRkSLZJs7wAdr9t27YhNTUV8+fPh1KpDNig\nAfBwWfb9dpmiwjCkh+WAEDujDAZDgFG9oqKCHnroIVqyZAk1NDQEt2dvNx2hHGBLly6lkSNH0uDB\ng2nRokW0b98+/je3283D8UI47sLmh9fr5c4ms9lML774Ig0YMCAkr5xOZ0BbeClDrBgaGhpIq9US\nAHr22WeJiLjT6jKhZpLxg6Guri7A8bNnzx4eihcMUc2OsOlg/BXz5M0336Rp06ZRYWEhTZkyhV5+\n+WXau3dvm/nA6p5IxY/guepyufgYvPvuu6TVavnfTCZTG75IsV6cTidZrVY6cuQId4rJZDLKzMyk\n3NxcSk1NpV69etHvf/97+uqrr3idlUsg7HFh9UBcLhfV19fzsZHL5SSTyQLqeUyePJk+/PBDSedH\nKBw6dIgqKyuJyD8OLpeLmpubA5y9brebnE4neb3edo3LL9aI1mg0wuPxICEhAXFxcQES2cmTJ1FR\nUYGMjAwMHjw4ONOp3fVgiSggIJ/B4XCAiLidV6lUgoh463imrgSZOiStS7t371689dZb0Ol02Llz\nZ8DfWFU6cfdy9i7h0iE2O5lMJrzyyitoaWlBUVERHnzwwZAdwkXPFkOyruWXkkZdLhdPpmETWK1W\nB18vGT/EEDtvQ71/CAlJ0vlhNpu5k/m5557Dvn37+DxhfgWp654TES8nvHPnTuzatQurVq2CTCaD\nVqvFr3/9a+Tn5+NXv/pVAG/4gwN5FDY/iPxlATweD1JTU2G329HQ0IC9e/eirq4OmzZtAhGhT58+\neOyxx6DVapGZmRl8v7D4ASDAEiA2ZYgTfVhoKxFdqh77tV9POjU1lS8Is9mM+vp69OjRAyqVCl26\ndOG2J7VaHXJjbQ/YpGHMc7lcnIa4uDgQEQRBCIhpZBt3pOvRulwuFBQUcNujyWSCXC5HUlJSwLPZ\nBiFljDKDUqnEww8/jIyMjDYxqOJnA9LGwAY/g6U4WywWyGQyHg9ttVoRExPD7XxSp4MTXTq+WBxd\nw2zg4mvFxaoiUWM7NjaWbwjM+c7A4trZtVKa5JhgMG7cOAwaNAh33nknVCoVcnNz0a1bt0vSy2Ka\npeQFm/derxeNjY38AJk8eTJcLhdGjRoFp9OJhIQE5OXl8TGTiifidyEi2Gy2gDo3bD2IG1YwXoTD\nh19MkhaDhfQwifpnXipiHR7YCcgQygkj2pwi0hpefCCw339mske84wVXuy5/OESEDnETALHt9Zfk\nB3BFm3HE+MGK/V+hg05SOsLYeCVfL6E23ktpFVJpnqGex+7PDkuxNiZFZ5aO2KSjiCKKKKJoJ6KN\naKOIIooormFEN+kooogiimsY0U06iiiiiOIaRkdEd7RpDc8SD1gXbBZKJU6Y6AjH0OVCl67AIxwx\nR4jRaERjYyMOHTqE3r17o2/fvgEB8pGiI1T4mdfr5RlWoRyaACLikGHhXzKZjKdqi524Ys95ECSj\nQxyyyaqeXUVEiaTjInbesjE5e/YsgIu1PC6xZiR3YLJ5IuZ/a2sr3G43EhISeAuvSNPBL/gvX9xu\nN+x2OwB/NI644bWIHknpYI1/ifzt8NxuNxobGxEfH4/U1FRehzuckNVfrFs4AB6HzHLcI1m4PRhs\nookPCoVCgbi4ONhstpBdFCIRXsXuK174LS0t2LZtG06ePIm0tDSedcZojFRqNtA2aoJtlIw+drAF\nhyNJzReXywWn0wmbzQa1Wt2mT16o+SIlHWKHOtsgxRmNLLZeiv59lwMr1et2u3ntFpfLhdOnT2PP\nnj3IzMxE3759ecjq5cIIpUJwowWdTgej0QiZTIbExMSIjkvwfYGLc1apVPKMZrY5i+mVmgZxwgkL\nVWxsbITNZuO5HYIg8NZu7Q3T7BBzh3jCs350gP+0i4+PD/i7xWLh/2eL1O12R4wutgji4+OhVqth\ntVphtVoDCsgwMClGyuez+4pRXFyMb7/9FsOHD8ewYcOQnZ3NiyoxmqWEOPwvGMEp6eJNIKwauZeA\neC6wWsasUM65c+dQU1NzyfePREwucLHyG4PJZEJ9fX1AcoLJZOJdhKQEiwUmIiQmJiI9PR0XLlzA\nxx9/jOXLl+PAgQNIT08PaGbM5nQkwfjR2tqKJ598Er/5zW+wYsWKNvW12SEfCchkMp7cwiAWIMQJ\nJVJCLNCIe2uWl5fj/fffx8GDB6HRaJCYmIiWlhbodLo22tBV4WrSE9v5wzsaWCyWgJq7JpOJPB5P\nqO4a5PP5eEeIILSbDnGKqNPpbJPq/PjjjweklioUCioqKuLdQNxutzi1s910BEOcAtzY2EharZYW\nL17MP9PpdMG1iiXhB3uux+PhdW+dTieZzWbe/YOIqKamho4fP85rb0eSDlar2OVy8TTjzZs30223\n3RYwNk888QSVl5dLSkcoWCwW/v/m5mZe35rIP1bF/4+99w6Pqtrex9+UaZmUIaQSAgmGFEWICiSR\nzkUgiAqIBUUBr1zkilfxoyJW9FqugAXxInoRRVQQpUZpKhADhiJdIQklBdLLZPqcaev3x9y9OTNJ\nEDJncv3+nrzPk4eQKWedvffZe+291nrfnTvpiSeeoLlz59KuXbuoqqpKUjucTifZ7XaP0u+JEydS\ncHAwRUZG0iOPPEIFBQVE5B7TVquVbDabZDzODKyP7HY7NTQ0kNPppIaGBnrllVc8+oWNEb1eT83N\nzeJnrN12OJ1OstlsHjzW3vDm077MeyUdH2xOqa6uptDQUAJAq1atooaGhlZpKNpjR4ccd7BilYqK\nCuzZswcmkwnFxcWIjo5GYmIi9u3bB6VSiTvvvBPjx48H4N7meW8liXzbsog9H/GKz7h6GYlOTk4O\nYmJioFKpUFBQgN27d2P27Nl+o+gU31NRURE0Gg1GjhwJu92O8+fPo0ePHn47CiJye8bitpbL5QgL\nC4PBYMChQ4cwf/58aLVadOvWDVOnTkVWVhauv/56ANJUc4m3gUz9Qyz+un37dhw6dIjz8wqCgI0b\nN6JPnz7o16+fT9e+HBwOh8exV1RUFACgpKQER48exY8//ogff/wR1dXVuPnmm9GnTx8kJib6dE3v\nMc5iJqw0/9dff8X3338Ph8OBSZMm4f7778fNN98MQRC4egkg7a4CuETh6nK5eBXskSNHUFhYiODg\nYISHh6OpqQlbt27FHXfcwSuKpVATEgQBLpcLFosFhYWFKCoqQlBQEPR6PadLMBqNGDNmDBISEpCW\nltYhR6csVuNyubB7924YjUaEh4fjwQcfBAA0NTXxWJtKpWq/TT6sLFe8AjU2NtLx48fpvffeo+uu\nu45uv/12mj59Ov3jH/+gV155hVauXEkPPPAAhYaG0tKlS8lqtXKSkqqqKqqvrxd7EpKshIyoRewp\nDRgwgABwUiWXy8U9hLfffpt2794tJvqRbEVmq3F5eTndddddtHv3biIij92FVqvlHjXzeH21g3lp\nRG4v1mKxkNVqJaPRSMuXLyelUklTp06l119/nUaMGEFyuZw0Gg29/fbb3C6Rh99uO5heothLZdi6\ndSsplUoCQLm5uTR//nyaMWMGAaClS5e21pzttoMpiXiTJV24cIHq6uqouLiYJk2aRHFxcTRx4kR6\n++23aefOnWS328lisXh7Tj7bwWxg/5aVldEDDzxAACgyMpLvMtlOiMHLi2y3HQ6HgwRB4F6q+P7W\nrVtHPXr0IAAkk8moe/fuJJfLKTw8nJ599ln+PimInsxmM2m1Wvr9999p+vTpNHLkSLr//vspJyeH\nbr/9dho5ciTl5uYSAOrSpQv9+OOPHu3mBZ+el9a+89tvv6WkpCRSq9U0a9asVt/DtCfbY0eHeNIK\nhQIqlQrdu3fHk08+iXHjxoGIOKVhUVERNm3ahKioKHTv3p0TyTQ2NkIQBI9Dd6nADvrFqxs72/r+\n+++h0+mQn5/PX4uIiEBUVJSkyuHi68pkMlRVVaG0tBR9+vQBcIkvori4GGlpabwknUi6MzamFsEU\nleVyOfR6Pfbs2YNp06Zh+fLlMBgMUKlUqKysBAAP0hopdhdE1IILRBAE7Nu3D++//z6sVisSEhLw\nzjvvoHfv3vj888+xbt063hdsMEtFZyveGTgcDnTt2hUqlQqvvPIKjh07hi+//BIjR470+JyUuywi\n4ue5MpkMgiBArVZj3759KCgogEajwejRoxESEgKLxcJ3OYzzREruDrEnzOz57bffsH79ek7tO3Xq\nVGRkZKCwsBAbN2700CyVQiSCPf/dunXDpEmTAACDBg2CTqdD165dYTab0bVrVwwcOBBFRUUoLy/n\nGqXsPoh8D6i29h1MRamsrAzTpk3D1KlTERQUBLvdzrk9FAoFz1K6guy1FvD7JE1EUKvViI2NRc+e\nPdG/f/8W7/noo4+wZcsWzJ49G2PGjOF/Z9L1gLQPAXCJWKi2thbh4eEeBDpffPEFCgsL0dTUhKSk\nJNx4443o168fYmNjfVZ7YJOJ+Hf2IHz//fcoLi7m22oGJt4r9VaWTdBWqxUhISH8CIip16Snp+PU\nqVPYuXMnduzYgbKyMvz1r3/FTTfdxL9Dim0lG7isT+rr6xEYGIg9e/Zg7969AIDY2Fikp6cDcEt8\nAe6gFQBJg5fe3yMOdG/duhXXXHNNiwkakJZwitkgJuqxWCz47bffUFtby9khmX1svDidTrhcLslI\n98WBU3atY8eOYfv27Thw4AB69OiB66+/Hi+//DKcTicXbD59+jT/DimeW9YHSqUS48eP53YxIQq2\nWAcHB8NqtfLxzCDV4uU9zux2O4KCglBSUgIAmDZtGgYPHgy9Xo+ff/4ZJ06cQGJiIkaNGoXo6Gj+\n/quGD+7/FW8TiNxBQsYRLAgCVVdX05IlSygsLIwfKdx77700atQouu2222j9+vUtNypXuU3wtkPM\nE2y1Wvm2hG1Xb7zxRgJAcrmc0tLSaOHChR4XlmobSXSJE9pms5HFYqH9+/dTSkoKl4FnHLUNDQ2U\nn59PmzdvpiNHjpD4877awbazjPuWHf0YDAbavHkzxcTEUFxcHO+fnj17tugMKexg7c/ERi0WCxkM\nBpowYQLJ5XJKSEigZcuWkclkonfffZcyMzMpLi6OPvnkkxb2+NovDDabjcxmM5nNZtq2bRtNnz6d\nsrOz6YUXXqC7776b8vLyiMh9BFFXV0cNDQ3t3s5629HascuuXbsoPT2dC63m5ubSN998QwcPHqSG\nhga/BMoEQfAI3uv1eoqOjubjYeXKlfwY8uTJk3T33XcTALruuus8xJyl7BdmV0VFBWm1WrLb7bzd\n2RjVarVksVjo999/p4qKCu/2kcQOdn9LlizhArxE7mdn9uzZpFAoCABlZWXxwK5XEsQVX7vD8qSV\nSiVfRfR6PTQaDerr60FE0Gg0cLlc2LlzJ+RyOcLDw7FixQpER0djyJAhktkgXgUdDgcEQUB4eDiM\nRiM2btyII0eOAACefPJJjB49Gjk5OR6fl9qbZ1sguVyO2tpaaDQapKSkAACuueYaHD9+HCtXroTB\nYMC5c+cwatQo7kFJAe8UJdY+oaGhuP3225GQkICAgADk5uZCp9PxoC4ArnwhhQcrptpkAeO8vDwc\nO3YMNpsN48aNw4QJE3DkyBEcO3YMp06dwjXXXCOJlmBbCAoKgkwmQ0FBAdasWYOSkhK89dZbiIyM\nxP3338+9y/j4eH5ExO5DiiMX79z02tparvlptVqxfft2bNu2Denp6bjzzjvx2muv+XbDrYDRcDKc\nPn2aB9fvuOMOTJ06lQd3Y2JiEBgYiKioKGRmZvo1cBcQENBmgDYkJAQ//PADz1fOzMxEenq65MeU\nrI/ZkWhaWhoAN+84k36bOHEiLly4wPut3Z68DyvLFf0w+XWmLGK327l3IA6M5eXlUXl5ORkMBq4E\nkZqaSmfPnvVexCRbkYmIxo4dyz0DhUJB6enp/DWz2Ux2u91DccLXFbm1tByn00mrVq2i4cOHc0WU\nt956izQaDeXl5ZFOp6PExER66qmn+Gek8GDZ94hTEe12O1VUVFBVVRWVl5fTlClTqEuXLnxnw7xt\nqZVq7HY7b1uTyURZWVkEgMLCwmj//v1ERLRy5UpKTU0lALRt27a2vEefx4fD4eDtm5eXR5988gmd\nPHmSiIh2795NAwYM4N4R8yRtNpt3mphP44Pt+iwWC9lsNsrPz6f+/fsTAFKr1TRw4EC66667uCLJ\nE088Qfn5+fwepFLuEQct586dy4Nzc+fO9Xh9zZo1pNFo6P333/cIxkvZL0REFy9epEOHDtHcuXNp\n4sSJlJ2dTQEBAaRWq7knnZGRQU899RQtWrSIfvzxR7p48aLknjTDddddx1NCidzjIyEhgc9bvXr1\non379hGRe1y3xw6/e9JivTaW/G2z2Tw8hXXr1mHjxo3cU+vbty8mT56MZcuW4eLFi+jVqxeIpK+k\n2rVrF7Zv3w4ASE1NxdmzZ1FXVwfAXVHmdDqhUqm4x8aKBIja7y15f47dl1iJ+fz58zh69Cg+//xz\njB8/HuXl5ejWrZtf0s3YmTQ7j7bZbIiOjoZSqcSSJUuwdu1avPvuuzxgw3YTUntKRMTbwGq1cu08\ng8HA089++uknfv43dOhQv6REulwuaLVavqMT7x7MZjPWrVuHrKwsfi4vFkGQIsAtLsQA3O3MCibY\nOWtYWBiSk5MxZswY1NfXY8+ePfj2228RGRmJoUOHAvAsCvLVHiLiwTDAnQggHgffffcdPv/8czQ3\nN2Pw4MGSCUeLwZ6506dPY8OGDfjwww95cU9sbCw0Gg3Onz+P1157jSuWs2IXjUYj2Xj1fvZZ0ZvJ\nZEJZWRk++eQT3HPPPYiJicEHH3yAlJQU9O7dGwA8dq1Xgw457ggICOCVR+wAn+Wg2mw2nDhxAseO\nHfP4DMuVtVqtMBqNrckkXTWILvE9/PLLL1i4cCESExMxefJkjBw5ErfddhuampoAgAsQAJcUmu12\nuyRbfHFHGwwGhIeHIzg4GI2NjTh37hwCAgJw11134bbbboPBYMBLL72EcePGeQjjSgW28FitVh78\nYpPiO++8AyLCzJkzAbgzLvyhWA5cqnpkNrG+joqKQr9+/dDU1OSxtfRXObbVakVVVRXKy8sxcOBA\nxMbGAnAL9C5fvhyFhYVYtGgRz59WKpWchN8fW3x2JGWz2XjAVBAEHDp0CBkZGdBoNFCr1airq+Oi\nwYA0quFixyggIIA/B71790bfvn0BAHv37sWSJUuwa9cupKenIzk5mX9W6kpU9n01NTUYMmQI7rvv\nPqSnpyMuLg4mkwm5ubkYNWqUh6pQ165dJbXBu10TExNRWVmJ4uJirF+/Hj/99BNuvfVWPPPMM1i7\ndi0++eQTREdHw2QycSekXRf28w8RubeD4mBCfX09d/1nzJhBcXFxlJmZSX369KEbbriBAFBcXBxV\nVVV5VxP5ZAfLA544cSJpNBr+pUeOHCEANHz4cP43g8HAr80CfFLZwVBaWkpGo5EaGxvpkUceofT0\ndOrduzclJydz4c/HH3+cv18sSCuFHSyA6XK5eM5zcXEx3XrrrdS/f3/64YcfiMgtFkzkPgJqJSjk\nsx1Wq5Xnpzc1NfHqrV69etGcOXN4APPBBx/kxx+tVKP6ZAc7lsvPz6f4+HiKi4ujyZMnU2ZmJsXH\nx9OyZcvo6NGj3EaDweCXgJ24f5lNDoeDdu/eTQ899JBHhR/7uf/+++nXX3/1mx2lpaX04IMP8uOO\n9PR0D/HX0aNH0y+//EJEl46ApAy0i4/XvCuHidzPb0BAAK8xqKioIKvV6pEsIIUdDOx52L9/P2Vm\nZnr0RY8ePahPnz68nsDpdJLJZPKucL7ia7fX4HY1slar5RaKH/SVK1fSbbfdxpPjAVBycjItWrSI\nTCaTpJOS2Wym2tpays7OJqVSSRaLhSorK2nKlCkUHBzcIqNDDCntYNBqtbzDS0pK6OWXX6aoqChS\nKBQ0ffp0PkkSEc+AkEKVuq2SVb1eTy+++CIBoOXLl/OFSXxG6o+zYJbhwa4RHh5OACg0NJQSEhJ4\nMYv43LUN+Nwv58+fpzvuuIOSkpJo8uTJ9Nhjj9G///1v/joriRaXszNIFStg12GTNMOBAwdoxIgR\nFBUVxZ+V6Oho2rFjh8fnpGwPIrdTtXDhwlYXiGnTptH69ev55MzaQ8rnhVEyiMEKXIjc1Ak33HAD\nL2S5cOECL5H3giTtwZTLiYj27dtH8+bNI41GQwBo0aJFVFhYSETkEadob7+01+B23ZzNZuOGOp1O\nunDhAlVWVvLXq6urqbGxkZqamqi5ubm1tCafGpmlNDU3N9O0adM8BlpYWBht2LCBVyEyO70Da1I+\nhGLU1NRwT5LBYrFQQ0MDVVdXc4+epWZJGThknBknT56kwYMHewSGWBUgC4x5Q6oAldd30fz586l7\n9+68uu6uu+6iCxcu8NeNRmOrk6QUdrSFuro6j0A2213Z7XaPtDmp7BBPcjabzWPnYDQaqaioiKqq\nqlrzFiVpD++F3Gw209SpUykuLo6Sk5Ppq6++oqKiIv66NxeO1CmrNpuN9Hq9RyDf5XJRXV0dHTt2\njKZNm8bTVJ1OJ+n1+tY4byQdH/X19fz3GTNmeFRbih1RNlm357ntsBQ8InfwkCWWBwUFIS4uzoNd\nTHyWJAgCV2WWCkxuXa1WY8aMGejWrRtWr16N0NBQpKam4pprroFMJuP0pQqFglchSply5g0idxoi\nEcFsNnOuAofDgaioKI828Ne5Z11dHc6cOYPi4mKkpKTg1ltvBQBeGMHOI1v7rBQQC84CwIMPPggi\nwq5du3DLLbdg/Pjx6N69O39d3Bf+TPeyWq2oq6uDXC5HXFwcoqOjAbgLaWw2G08fbU8l2R/Bm8ND\nHA9Qq9U87QuQrqrOG2KOcZVKhdWrV6O+vh4qlcojQMioVBmVLiBtyio7Ew8MDITFYuF/b2xsRHR0\nNKKjozFx4kQ+h1itVsnV5FuDuLht0aJFHmmh4rS/tp6fK0GHq4Xb7Xae5QG4A2eCIECv1yMoKAga\njYYHZQIDA1vr6HaTdhNdCj7o9Xo0NTXBbDbzTm4NYpIYL1skIQ9n7SHuh6vsUEnsqKmpQXFxMb77\n7jtcf/31uP322yGTyaDT6dCtWzePD7YRAJGc1N1sNkOr1SIhIaHV19nk6EXyJKkdWq0WRMSr20wm\nE+d1Dg4O5rzBrUyQfiO5Z+XGjNznMsrYfrXDarVCr9ejS5cuEAQBAQEBUKvV3CZ/2GG32z2qKhsa\nGnjF5fbt25GcnIzExES+WAQFBXkvnJLY4XK5uCPHwLjPr9Bp+FOphV/2AkTEPeaOVrxg12/N+2Ht\n0hEKMX9kyx9A8vZgdrDJ5wpt8ttkALQ5IXeIHd5t4HQ6r4RL26/t8WfoF7bbk8vlvE0u0zc+23G5\nZ5Vxvbc1QYo+69d+uQr8qSbpTnSiE53oRDvRKUTbiU50ohN/YnRO0p3oRCc68SdGh6uFA57nnkBL\n4qO2FLz/iw4/U2rjLExyVep2wu/t4XQ6eUmwXC73Wf34SuwQt8nl4gOtvOb3fmEqIUTEMxxaea/f\n+4UFMYODg7k6divPjaSq5T5kS3TIGT2ja71MJtb/c2fSHa4WLj4DZ5kT3tkMgiB48Pj6I7XoSlFb\nWwulUonQ0FC/pXq1NRGIJ0N/pVhdCZjQACtLFveN1PC+b8CdZgW4OSu8uZL9JXJ6ue9m4qfivvCn\nHW1BrVZDqVTCZrNJ3h/ei47L5eIUAk6nkwfp5HK5JBJqvoLZqtVqYbfbERkZyR0KBh+dIQ/4koMM\n+gAAIABJREFU8l1X+9kOVwsX0zAyOkjAnYrHVkDG6cH4Plg6j78gVhs2m8389+LiYixYsACrVq3i\nf5fSjst9l9Vq5Xa5XC6umu5wOPzaFgwWi4UrYAPuiTk0NJRzqTDFbiltYQ+/t+I2U7ew2+2w2WwQ\nBMHjdanbo63vEwQBRMSVNgRBgE6ng9FolPT6rUGcCup0Ovl4DAoK8tBhJPJUU2kvxGmh7DsZGZfZ\nbOYePAA+JsQwGAywWCwedRC+ojUVdEEQcPbsWf5/lUoFlUoFhUIBIuJ9xu7Jn7BaraiursaJEydQ\nVlbm8RrrE+96gCtBh3vSzFhGVhQUFISjR4/i+eefR3V1NdauXYu0tLQW+Yb+auD6+nqeI/3aa69h\n165d2L17N+bMmYNJkyZh3759iIuL40nq/ihW0Ol0fNKTy+UIDQ1FSEgIGhsbYbPZEB8fj9DQUEnV\nP4BLK7rYS2fpkCqVCmfPnsVrr72GTZs2QS6XIzMzEwUFBQDcHotKpZKMWMhut8NgMODgwYOoqKhA\nSEgIJ1FSqVRwOBzIyMjgfNtNTU0ICQnhXr6YAKi9YO3rnW7H7k+hUKC5uRlNTU0IDg5G9+7dW/Ug\nffXYWvu8+DqbN2/Gt99+i4qKCmRkZMBoNOLLL79EYGAgLly4AJlMhrCwMKjVap/sYB6y0+mEIAgI\nCgriCkZOpxNarZarJ5WVleGrr77CyZMnUVZWhosXL+Lee+/FuHHjkJGR4bOnz4iNGP/6li1b8Nxz\nz+H333/HjBkz0KdPHzz55JNQq9Wora0F4H6ufFVSag3s+E+pVEKn06GgoACffvopfvzxRw8iLAC4\n5557MGjQIPztb38D4O7bqyUp6zAWPAY22GQyGX8AoqOjoVar0aVLF76dZZ+xWq0IDAz0UPeWCk6n\nk0/QX3zxBV588UX+WmVlJSorKxEUFIQbb7xR8muL4X2UcvHiRRQVFeHNN99EQkIC5s6diz59+iAw\nMJC3RxuFPlcFJt3FJmir1coHkMPhwKOPPoqCggIkJCSgubkZe/fuhVarRZcuXaBUKqFUKiXzYtlE\n8Ouvv+L48eM4fvw4ysvLIZPJeJHAbbfdhjFjxuCvf/0r1Go1FAoFL6KQYrsvnvCBlkxyDzzwAPbu\n3YuAgADExsYiPj4ejz32GG6++WbuuUkh5dXa5wVBQHl5OY4cOYKtW7fizJkzGDRoEK677jr85z//\nwcWLF9GjRw84nU7eh74uFOzeGTMie3a1Wi0UCgVnmFuwYAF++eUXFBYWenjUSUlJ6N+/P1eWby/Y\nObN4waytrUVFRQViYmJw3XXXYffu3XjyyScBuOlDY2NjueMjNdhzA7iFEL766its2LCBv56ZmQmd\nToempiZ8/fXXqK6uxqxZsxAcHNxiF3gl+J+dSQcGBsJkMoGIUFFRgTNnzmDMmDGcGpJ5d/6gxmRU\nmIGBgSgtLcWMGTOQn5+P3bt3Y/jw4Vi6dClOnz6NV155BaNGjeKUoQ6HA0ql0mN72R6wKkOxUs0H\nH3yAw4cPo6ysDC6XC4MGDcLhw4cBABkZGdDpdIiKiuLbN+8Jpb0Qe2jME927dy+efvppTJkyBWvX\nrsWRI0ewcuVKOJ1O7pmwNpBqZ6FUKhEfH4/nnnsOBoMBjY2NiIiI4NzjQUFBiImJgVwux7333svb\njlV9SWWHeOEKCgrC3r17sXbtWvz0009QKpV49tlnkZycjG+++QYrVqxA//790bt3b8TGxnLqA6l3\nfU1NTUhPT0dSUhIee+wxXHvttTxoWFJSAr1ez50bRhUK+ObRiz/H2l8QBCgUCl5h6HK5IAgC3nvv\nPYwYMQLPPPMMcnJykJCQgMbGRsTExCAuLs7nM2vxs8Jw9uxZhIaG4u9//zs0Gg1KSkr4/TLVFm+t\nUKkQGBjId3m9evXCs88+i/vuuw9arRZlZWX47rvvOB86mz+Yk9meuaPDJmlxqSg7ew4ODubSUefO\nnYNSqYTJZIJKpeLq1f4K1rFtk1ar5b+zhmxoaMDGjRtRU1ODLVu2AHAHiwIDA6FSqSTZzrLzNYvF\ngpMnT2LdunUIDAzETTfdhIcffhiZmZk4duwYUlNToVQquQAp4z4Re25SY/v27di/fz/27NkDhUKB\nF154AZs3b8bUqVMBuM+rfV2o2kJgYCAiIiIQERHh8feamhrEx8fjrrvuglqt5ltKf/AziL/vn//8\nJ3bv3o3ExESsXr0a/fv3x8mTJ7ly+tChQ/nC5Y/dHgBUVVXB6XTipZde4iIEjY2N+OKLL7Br1y5c\ne+213Llh8M6gkgJsIWhsbMSXX36J0aNHIyEhAevWrcOQIUNajAn2/Prq0YorTZkKuHg+OXv2LAID\nA1FZWYnu3bsjJCQEdrud0xowEVt/zCUxMTGIiYlBdHQ0Vq1ahYKCAhw8eBCAWzz5ueee85kHvsMm\naTbwAwMD+Xk089zOnTsHo9HIV2dWF8+Ci1JDnEEQExODgQMHoqGhAZ999hkMBgN27NiBmpoajB49\nGhkZGQDcA5RFs30d+CxgKt4aDxgwANnZ2bjjjjv4A/fbb79xnUXWDuJgqq9gWzbWJywoWVdXh9DQ\nUG5beXk5QkND0adPHwD+naQBd2qZWq1GQ0MDgoOD4XQ68fTTT+Mvf/kLsrOzAcDjWMwfExLgvs+d\nO3ciOjoaM2fO5Er3//znP7Ft2zYoFAoMHjwYACQNkInhcrnQ0NDAyb/YxNe1a1f89ttvqKmpwX33\n3QfAPZmLeVb8kXFRWlqK999/H59//jnGjh0LtVqN0aNHt/pe8XGJr/C+l/DwcNjtdhQWFuLMmTNo\nbGxERUUFJ+FqbGxEXFwcVx2SckfOqCwA9+7z3LlzWLduHRYvXoympib06NEDmZmZyMzMxIgRI6S5\noJ9/WoWYBvGpp54iALR169YW73M4HJKpMBN50mGKNRbPnz/PaUuTkpLo008/JSI3hSjjyfWCpO3B\noNfryeVy0e+//04ZGRlcW4/RQDY2NnrY7YsdjOjf5XLxHyI36f9jjz1GACgiIoIA0JQpU6i5ubkF\nHaWU7cG4k737KD4+nkaPHu1xMUEQPNpBagpZQRDorbfeohtvvJH3/wsvvEDZ2dmUkpLiIRDRGoWr\nr3Y4nU4PsYsPP/yQpk+fTunp6bRu3TqaPXs2bdy4ketwElELqlsp24Phjjvu4IrgYhiNRs4HXlNT\nI6kd4vGg0+n4/R4/fpw2bdpE+/btowULFlBubi4XhGB0pkajkerr6yUZH4y2WMxtff78eZo+fTqp\n1WoKDw+n1NRUD/EFvV5PZrPZJ8rl/8mZNDv3Yyvsb7/9BuCS4q74mMNfRx42m40XaADus7z4+HhU\nV1cjKysLgwYNAuDewnpvvf0J5uVrNBrOvMbsANwepHeusC9ohSUMqampeOaZZxAQEAC9Xo/PPvsM\n119/PSIiIjxoIllfSgWXy8Xvk333xo0bYTQaPbQGAXAWOH/BbDbDZrOhubkZH330EVwuFz744ANk\nZWXhhhtugNFo5JkmFotFclu8d5EzZszA0KFDsWPHDsydOxeNjY1YtmwZAPBgrpgmU6rcZSK318iY\n55jGpE6nw8KFC9GtWzdMnTqVZ30A0h/7eJ+PW61WhIaGom/fvlzGy2w245tvvsH+/fuRlZXF+0Mu\nl8PhcMDpdEoSXGbsekTu2FpycjJmzJiBrKws/PTTTygoKMD999+Pp59+GpMnT0Z4eDi0Wq1vc4gP\nK8tVrchsJWuNqD09PZ0AcIJup9PpF1kiMcSE3KtWraK+ffvSkCFD6N///jcpFAp66KGHqLa21mMF\ndDgcYrt9toO1hcVi4V4IIwZfuHAhffbZZ0R0yYtuRaG73Xa0psxiNpvJ4XCQIAic7H/JkiWUlZXF\nydRZv1gsFm95Ip/bw0uejIjcat3z5s2jBx98kLKzs+mWW26hsWPHtpDwktIOhqqqKsrOzqbMzEwa\nNmwYnT9/3n0BgLKzs0mr1XIyeiLiuxKp7GC7yNraWiJye4Xz5s2jmTNn0hNPPEGzZs3iNrGdkNcY\nbbcdTBWG3U9NTQ1Xivnll1/o448/pqSkJFIqlfTWW2+RxWJpIRLgBcn6RSx+IFYmnzx5Mo0dO5ZO\nnjxJRqORKx61V7aqLTtYuzQ1NbXY6RsMBpo9ezYBoJSUFEnao70Gt7uR2cMkbjgmi15VVcX/Jpad\nae/NXc4OJuV19OhRvoVjGm0AaMiQIXTkyBGPB1BqBZDWFDX0ej3Z7XaaPXs2HT9+nIguHctIrekn\nhtFo5Iuky+UinU5HRUVFlJ6eTsuWLfN4r91ub00/TrKHUNzvjY2NVFRURB9//DEtXbqURo8eTQCo\nrKyMiC61oZSLpxiHDx+m4uJiKi0tJSK3dh4A+te//kVEl8aRIAhkMpkkWyzEzkx9fT1ZrVZ67733\nKCkpibRaLRUUFFBaWhp9+OGHZLfbyW63U11dnbc6jE92eI9P8f8dDgdt2bKFJkyYQKNGjWpxJNiK\nzJqk/SIGa6v777+f0tPTqaCggIiIHxdJLXsnnpRNJhPV1tZSZWUlH4MHDx7kqkLsmfVFa7HDazmJ\nLilCs99Z2a84GCWTyVpsT9j7fQELSqpUKtjtdnz88cfYvHkzAPAgHeAuuQ0LC+N5uoC0hSysA7xh\ntVrR2NiIyspK3h4GgwEAPI5npIY4+m21WhEeHo4NGzagqKiIZ3WwKjeWEuWPwJTD4eD36XQ6ERkZ\nibS0NNx3332YM2cOPxJjKVBE5LcjMSLCjTfeiNTUVCQlJQEA1q1bx0URgEtpiyaTiXMqSwH2PQ6H\nA127dkVRURHeeecdVFZWQqPR8GOXffv2Yc+ePfxZ+QPem6uC9/gkcmdmsQyjYcOGIS4uDhaLhWdw\nsDxpFhQXq8D7YgfLlWbQarUQBAGNjY3QarUA3H1RU1OD33//HUQkeZooO/YRIyQkBDExMejWrRvs\ndjsEQUCXLl3QtWtXqFQqNDc388+y9rtq+LCytGslZKubXq/nq0uXLl3IbYrbY2Xbf+ZtS6Xp53K5\nyGKx8FXfYDAQAMrMzOSr72effUbh4eH01VdfEZFnoKK9K2Fb7cG2j95BhePHj1Nqair/PzsGMJlM\n3KMXfcYnT4m1CYM4WAWAsrKy+N+bmpoup6cnuafEjhIqKiqIiOjjjz+mjIwMGjlyJH9PfX096XQ6\nSdpDDNYmRqORSktLyeVyUUFBAcXGxvKxwmC320mv15PRaJRc85Htoh5//HGKiIigJ598koxGI9XU\n1NDy5cupS5cu9Mwzz7RoO6l3Flu2bKFly5bRli1b6MyZM1RdXU1jxowhAPTuu+96HDu0AZ/sYM+g\nWMzabreTIAj8yGf+/PmUkZHBxaSdTifXK5XqGEoQBLJYLPT6669TdnY27dy5k8xmM508eZLWrFlD\nb7zxBslkMgJAffv25baazWbvoPgVX7vDA4fM81CpVHC5XFwiiQXDGHtVQEAA5++QmjxGLN0FuD3E\n33//HT/88APWr1+Pu+++GyNHjgTQplSUJGABCNYmLCi3fft2nodrt9uh1+uhVCoREhLC0xSlSmti\nBFcsuMK8j927d0OpVHIvmnEiWCwWj/RJf0GsKcmKE1avXo2mpibuxQLgASGp0+9YypZCoUBMTAwC\nAgLw5Zdfora2Fr179+bvIyL+PsA/tAHs94yMDKSnp0OtVkOtVsNisUCpVEKtVoOIeJtJNT4YXC4X\ntm7diq1bt8JisSA9PR06nQ4nTpwAANx+++0eeof+ANsdKJVKGI1GuFwufP755ygoKEBycjL+9re/\n8fHLbBEXOknRLyw92OVyobS0FPv378fu3btRW1uLLVu2YMuWLbyiMD09HTNnzgQADw6edtnhw8ri\nk6fEVrbm5maSyWTUv39/InJ7MGJvTqza7etKyL6DeV0sEJOTk0NpaWmUm5vLPWjx6tcGJG2PpqYm\nbt/EiRMpIyODvyZONWvFq5fUDpPJRG+++SZ1796de4zilCqxNy9O25PCDkEQSBAEj51FbW0tHT16\nlB566CGaOnUqT0kkcu+E/NEe3gFap9NJ+fn5BIAeeOABIiLuOXvDX2ryH3/8MQ0ZMoRyc3NpxowZ\nNHToUMrIyKBHH32UTp06RUSegUspPHqn00kOh4OMRiOtXr2aHnjgARo7diy99NJL9O2337ZQ4mZn\n423Ap/ZoI2hOx48fp4ceeojGjx9PACg9PZ3y8vL46+wepGgPu91ODoeDDAYDrVmzhrKysnjarlwu\np4cffpgWL17Mg+5E7ufFaDTy56U97dHhnjRbGJgHpNVqMWnSJAwYMABAywoy9rsUKyErfGBehlqt\nxosvvgi9Xg8A6Nq1K+RyOaxWKy+4AaRLZ7ocxEQw+/fv90i/E3tF/qCkJLpEgXrq1CnOwXDTTTcB\ngEchAPO6/XEG7E172dzcjG3btuHrr7+Gy+XCp59+ivj4eADgXpM/7PD+zoMHD+KVV14BAF64ERYW\nBqKWZ63+IgIbPXo0L7Ras2YNoqOj8dZbb2H48OG8TVgVKiBdIQuRm5ohNzcXOTk5CAwMRFRUFE/3\nI7qUhinmppB6nDKuaJvNBp1OB5lMhq5du6Jv374YMmQI8vPzMWXKFNx8883IzMzkn2O7RSn6JSgo\niM8LOTk5UCqVWL58OQIDAzFy5EhMmTIFRMQ5TWw2G98ts3YSt9eV4n8ySYsJcZKSkjBv3jz06tUL\ngG/S51d6bTFcLhdUKhVXfbZYLNDpdFAqlQgICIBcLvfrBC1esAA3j0diYiL69evH3+MvohgALbaC\n58+fh0qlQk5ODj/68A52BAUFdcjC1dTUhNDQUAwfPhxdu3Ztoeguvr6/7LHZbDCZTAgODsa9997L\nyYJYgNO78rI9D+GVIDY2FlOmTMGECRMgCAJCQkLQo0ePNq8lhR3iIGTXrl355COGd/6xP48G2fcz\n+gh2j9OnT8f06dNx5MgRhIaGenB2sPdI1ScsBzwxMRGRkZG49tprodFoEBMTA+DSuGCLpUKh4ItE\ne/vkf64WDlz1A9Zhygp/0Kh+scPhcMBsNkMmk0GhUPCVuKPsELPieV/zf9EeV/wll2zzix0s4+Qq\nnAi/tQd7Zq/wgf9/TonEC1es4n6F80iHtMcVTMidauGd6EQnOvH/B3QK0XaiE53oxJ8YnZN0JzrR\niU78idE5SXeiE53oxJ8YHZHd4fOht9chvCQH/0TkkfTPsiycTueVssxJHrBjYghXAlGQRPJACCts\nkclkCAwMhE6nQ0BAAJRKpYfyiD/6hYEpsohTML2DQm0E0PwaGGK0AuLsjjY4xv1qh3dgyvv/olJ5\nyez4o8AcK9oQK6n4I6DLnhUW3Lbb7S2Y98Sc8f4cp62p23ujDdqCK7bjf5KCx+ByuXiVndVqhUwm\nQ3h4OAB35zLFFPZ/QNo8VCZsabPZ4HQ60dzczDUXpaQD/SMQEdfqu9JFQup0MzbYHA4H52YQCzUw\nOxm5vUwmazMLpL1gDxPjQGDism21h9Q0qZdrU5fLBb1eD4fDAYPBAJPJBJvNhpSUFEmpOa80Tcu7\nqtD7M/7K1/YGq3K02+3QarVcxFilUvnNBjYXMN1DNibF/WC32/kY9iX97Y9wuTFjt9tRX1+PkJAQ\nhIWFtftZ+Z+l4F28eBFlZWU4deoUzpw5g+rqaqSkpGDy5Mno06cPmpqa4HQ6odFoIJPJJPccXS4X\nJz0B4DERWK1WTpgjk8kgl8s9+HL/C0k9A4PBwPMro6Oj4XA4UF9fz0uAL1O00W47WkthYiW3crkc\nISEhcDqdcDgcvH3EYrVS2SH+jyAIsFgsMBqNCA4ORkhICAICAlBTU4Pu3bsjKCiIE0B53YzfU/CY\nQnpYWBgveBJzOEttR1teWmVlJYiIq5D8AXy2o60JThAE2Gw23gZNTU2cZqAV/mS/p74ZDAbU1NTA\nbDZ71Bl0lB1sJy6Xy1FYWIilS5eiR48eHsV6AK56fHTImTQR8QnR4XCgpKQEc+fOxTvvvIO6ujqM\nHTsWzz33HA4ePIhly5ahsrISkZGRHsULUhGYA+6JRqfTwWw2cxL9/fv349prr0VAQABUKhWioqIQ\nGxuLyMhIPPLIIzh37hyampo85NqlAtP1CwsL4xNgYGAgwsLCEB4e7jFBS3n91gp7wsPDodFoEBIS\nArPZzMney8vLcf78+Va3lVIu9AqFAhqNBt27d0fXrl1hNBpRW1vLBYDZ7gdwL/RVVVV8MmsXw5gI\n4vuw2+0wmUwe+dEXL17Ehx9+iOHDh6NLly4YOHAgfv75Z/ztb3/DkiVLcPjwYb7I+QK2WDscDly4\ncAFOpxMVFRV47rnnkJ6eju7duyMxMRFjxozBbbfdhjlz5nCuF0EQJGNLZO1BRLDb7dyxaWxshNFo\nhEKhQFhYGCoqKnDy5ElejRgREcGPg7zZ69prh/g7qqursWHDBtTX1wO4xLw3fPhwpKamIjMzk4s4\nW61WWCwWfhQjBRwOhwdbo9hOuVyOsrIybN++HZs2bUJjYyO6devGF9v2eNIdctzBtmas0zUaDR57\n7DEMGTLEw+iKigpotVqcPXsWCQkJAC4VD0hRUcauJZfLQeSmMqytrcWGDRuwbds2nDlzBpGRkXC5\nXOjSpQs0Gg2OHj2KkpISvvWWSluQPYgVFRUoLS1FeXk5FAoFGhoaEBISgrq6OtTW1mLo0KHo3bt3\nqyXaUoP1j9FohNlsRteuXREUFISVK1dixYoV6NevHxYvXgwA/ByQieJKjU2bNuHbb7/FoUOHEBcX\nh8TERHzxxRdc3+/YsWNYvXo1Jk6cCJlMBrVazelL2wNvb1Emk8FsNvMd1JkzZ3D//fejqKgIKpUK\nVqsVRUVFeOKJJ3D06FE89thjuPHGG2GxWFp411cLJt4qCAJfpL/88kt89NFHaGpq4u/buXMn/z04\nOBh///vfkZqa6nFm6wvYMQFw6Tlk5/CsrfPy8vD8889DJpMhNjYWixcvxrXXXsvHeCs70KuGuKy7\ntLQUn3/+OQ4fPozk5GQPR05MTcrunS2aoaGhklVDiscJK4NXKBT8+z/99FO89957sFgsuPvuu/mO\nxzsOdsXwgXDkqohJ7Ha7B52h2WwmnU7Hif7Pnj1LQ4cOpZKSEiJykwqZTCZOtiMVYYwYjY2NXBWG\n/Wg0GgJA0dHRnLQlNDSUzpw5QyaTSUwg0247qqur6fz587Rjxw4aMGAAv3ZKSgoplUoKDg4mABQT\nE8Nf69u3L82ePZvMZrOkxEbse7RaLVmtVg9yo9zcXJo5cybl5ORQbm4unTlzhuvoHT58mMrLy8lg\nMLDvaLcdNpuN983GjRvpnnvuodGjR9O0adNo3rx59OWXX9LatWu5XVqtlrfLzz//THV1dWJ9P5/a\ng4HZc+zYMerbty8BoOXLl1NhYSEdPHiQ5s2bR6mpqQSAhg0bRiUlJZKJQjAtPdYXZWVl/H6Z5mR0\ndDTNmjWLBg4cyMfLqFGjvG9DsvYQ4+TJkzR79mzKycmh22+/nTZt2kQvvfQSaTQaWrlyJRG5CZEY\n3fB/29Kn9mDIy8ujuLg4ys7O5hSlZWVl5HK5aNCgQbydGBFXZWUlVVdXi8mgJG8PIs+5JSkpqUV/\nMMWl9lDIdognTUT8bJNBEARoNBqEh4fjxIkTWLZsGa6//npcc801ANzkR2JvwB+8DIcOHUJxcTH/\n/+zZs9GzZ0+cPn0a2dnZ0Gg0+O677+BwOBAaGuqTpyYGk5pn3CAAMHLkSIwaNQqJiYmoqamBzWZD\neHg4duzYgZKSEpw4cQLBwcE8k0Aqonu2sjMOBkEQIJPJoNfrsW3bNsyePRsulwvDhw9HSkoKKisr\nERYWxikxpegX5oE4HA4cPXoUhw4dwvr16zlRTkNDA/fWjx8/jl9//RUAcMstt+D666/3y+5CEASo\nVCrs2rULJ06cgEwmw6xZswAAb7zxBr7//nuUl5ejT58+mDx5MqcvvZJo/x+Bcduwtt2zZw9/TafT\nISoqClOnTsWMGTOwY8cOJCQkYOPGjWhoaGj/DbcBdswQGBgIQRBw+vRpLFiwADt27MDSpUtx0003\n4YYbbsChQ4fgdDr5WTBT6RbvoNsLcVsGBwdDo9EAcJ/NJycno2fPngDQ6rFgWFgYgoKC/ELE1RrO\nnz+PsrIyREVFYdq0aQA86Y5Ze1zN+PD7JC0+6hA/TCyw8Ntvv+HOO+/E2bNnMWHCBKxYsQIRERG4\n5557JJ+Yxd9XWlqK3bt3g8jN5zx48GDMmzcParUaVVVV6Nu3L86ePQsAkk3ODBqNBoGBgbBarbjl\nllsQFBSEkJAQXHPNNZgwYQJcLhesVisEQcCwYcPw22+/4b777gMRSdYmbKCwLa1Go+GTdXV1NRYu\nXIg77rgDkyZNwpYtWzinMyOviYiIQEhISFvpZ1cF9nmLxYK6ujqYzWYPJjN2ze+++w67d+/G999/\nj8zMTMyfPx8ajUYyljPxuSf7vbq6GgA8AlGHDh3i4snDhg3josWAdM4E+56SkhLs2LEDAQEBnOXu\nlVdewT333IOuXbtCp9MhNTUVv/76K8rKynDx4sUrDSj+IYiIt60gCFAoFFi/fj22bduGAQMGYNq0\naSAi7N27F5988gkMBgOuvfZa/ll/8Hzr9XrYbDbU1dXh1KlTyMnJ4RMwOwpSKBR8fmGCxVLYwRYb\npirFjlXYc2Q0GvHVV18BAHJzczFmzBg4HI4WY+KqbfHB/b/ibQJTICFy80Wz37/66iuaNm0arVmz\nhgoKCigvL4+mTZtG/fr145Lsvkihe9vBYDQa6dVXX6WAgADKycmh999/30Nfkch9HPPJJ58QAOrd\nu7d4O+2zHQ6Hg0wmE1VXV1NdXR0dOnSIJk6cSI8//jj9/PPPxNqM4c033yS5XE7PP/+8tw0+2cG2\nX+Lt5P79+yklJYVv72fNmkXZ2dl0+vRp0mq1tG7dOvr666+psbHRW/fRZzsEQaCPP/4fBwC0AAAg\nAElEQVSYZs+eTaNGjaKkpCTKzs6mAQMGUHx8PN/KKhQKvp31OvrxyQ4i93hzuVy8/bVaLb366qvU\ns2dPGjNmDM2bN4/bMXr06MuJr/o8TomIXnnlFX68MWXKFDpx4gTZ7XZqbm724HNm4qdvv/02lZeX\nS6YQwziUGW688UbKysoivV5PLpeLDh8+TFFRUQSAHnroIf4+xuEs5TEl0/4EQJGRkZSenk45OTmU\nkpJCarWa90t4eDi3oxU+eJ/aw1tDkv1us9lo2LBhBIAWLFhwOR76q7ajQ447xCuHzWbjHvWkSZNw\n2223eag6JCYmYt68eThz5gyysrK4bpyUFIg2mw1lZWUgIgwfPhzjx49HfHy8RyQ/ICCAB4AuXLjg\noa7gq7fEPGeHw4Hw8HBER0fj1VdfhVKp5F4Q48HdunUrPvzwQ0yYMAG33nqrT9f1hrjowGq1IiAg\nAN27d0daWhouXryId999F8XFxcjMzMSSJUug0+lw/vx59OrVCzfddBMvbpHKjoCAAAwePBgREREo\nLCyExWJBWVkZVCoVevfuzb3acePGoU+fPgDAj2eAljzQ7YFYGQhw73qmTZuGoKAgrF69GkVFRQCA\nwYMH48477/TQIvQHTSe755tuugkPPfQQrr/+epjNZhC5MwkaGxsRGRmJwYMHY+3atTh79ixPV5QC\n3mPdZrPhyJEjeOihh6BQKKBSqfgxS1ZWFgC34yfl8QKzgeVFA26PuqmpCcHBwfzZjIiIgE6n8wjc\nWiwWBAYGStY33rnOzDatVov8/HwAwH333eeRBcXsbrcuqA8ry1WtQGKPw263k9ls5hpk3nj99dfp\nwIEDRORWLDEajZIqXpSUlFBsbCwBoPr6eiLy9FzF6hIASKlUemirSWWHGIIgkMFgIL1ez1fhVatW\n8UBmeXk5t5N5e1La4a11SET0j3/8g9LS0mjHjh20a9cuOnDgAO3Zs4eOHTvW2i1I2h6tQa1WU//+\n/Sk/P58HUG02m6QevRjNzc38e/V6PffUZsyY4aG+QeTeeUllhxgTJ04kALR06VKqqKjgfSS2le02\n58+fT/3796fNmzdLHlhmqtelpaW0ZcsWevnll+mrr76ib775hjQaDb3wwgtkNBrJYrFwe6RWCzca\njZSXl0dvvvkmDR06lG644QYaM2YMPf300/Too4/y/omLi6MLFy4QEXE9U388L4IgkMvlIoPBQK++\n+ioBoEceeYSIWve4mUrM1drRYYFD4JK3wX4A94rorY9WUlLCNQYFQZDUQ2G5nizHkqUINTQ0cOJu\ndr26ujoAQM+ePSVJJfK2IzAwkJ+xMd1AcVt8/PHHaG5uRkpKCnr06AHA7cnIZLIWZOtS2KJUKqHV\narlKTHFxMbp168bVSPwJu93ukebFCpiYp7hixQqYTCbce++9yM7OhsFggEqlgkwm4zm8UgVSGYc3\ny8uuqKjAmjVrALg9aKvVytuIFfews1upA1Ts+y5cuMA1Ddl1WcqZTCaD1WpFTU0NFAoF1Gq1ZOOD\neY2sTZKSkpCUlISbbroJ3bp1w8qVKzF48GBMmTKFX5ed2bLnXioEBwdj0KBBGDBgAMaNGwdBEBAb\nG4sePXqgtrYWq1atgtFoRE1NDU+Nk8lkfLcl5fk4q2gMCAhAUVERNmzYgL59+2LChAkAWu7qfAkm\nd0gxC8vbZEnnYqhUKl5qC7gDeqdOnWoR0ZWigdlWiR0lAJfyHAG3XFNTUxOICBcuXEBeXh4AIDk5\nWXLFGLbtsdvtPCebLQQulwt1dXXYt28flEoljxID7jxpNjikAMtnZWBl+gCQn5/PlUgAT4UYoktc\nJ1LAbrfDYrFAEASYzWaYzWYYjUbI5XKYTCbs27cPgwYNwqRJkyCXyz1UQqSK3ntzPcjlchgMBnz+\n+edYunQpHn30UcyaNQtGo5EHqdikebnydV/Atu7Hjh3DxYsX+dZepVLxY7uqqirk5+dj586dSElJ\nQUxMjORBd6ZUBLiFm+Pi4nDo0CF89NFHmDBhAg8YBgUFQS6X8zElZbGTTCZDly5dEBsbi759+2LA\ngAHceYmNjeVOFgBe8MSKe6QYp0TE74dN0k6nE99//z1KS0sxbtw4jBo1il8bgDRFND64/1e1jRQE\ngR8ZbNmyhcaOHUv79u3j2wGr1UojRowgpVJJo0eP5n9nWycpt5Hl5eUUFxdHAOjo0aPeOxlavHgx\nD56NGDGCtm7dyl+T0g5xULSpqYm3z8WLF+mee+6hsLAw+vLLL4moZQBEKmFetiW7ePEiNTU1cbve\neOMNWrBgARGRx9Zer9dTU1MTP66S6phBr9dTaWkp3yLb7XZu2+uvv06hoaE8h17cbkajUbLjHxaE\nZPdUU1NDffr0IQA0efJkIiI6cOAATZs2jW+nvXPvpd5Wnzx5kubMmcOP3W699VY6d+6c99uoV69e\nFBwcTAcPHpT8mIHIPe4dDodHsLJHjx6UlpbG/8/ahMj9PLPjAF/t8BbXFR8JsgSDmpoaUiqVBICS\nkpLo4MGDHrZL1R42m81DKPvuu+/mxyzsSLKVZIfWAsxXfO32GnzVjWw2m/nDXlJSQgAoOzubVqxY\nQe+++y498sgjBIAGDhxIP/74o0enSFW8wb6jtraWP3yzZ8+mf//73/TDDz9QYWEhrVmzhhcHyOVy\nWr9+fWuZHT7ZwSDuTPFAWrp0KQGgxx9/nA/81jpeKjuI3GeOzIbNmzdTVlYWXbx4sa1rSm6HzWbz\nUCUXTzQ33HADuf0JN8QPCVsspLJDjLy8PL5Q//rrr1RfX0/33nsvLVq0iL/HWzFb6kmaiOjQoUMe\nBVdPPfUUrV69murq6sjhcNCHH35IACg3N5cvtFK3h16v94hZfPrppxQfH08LFy4kokuq2ERuFXer\n1SrZYuF0Oj1iJmLnguHgwYO8fUJDQ2n//v0er0uRZeJyuchut3v0+YgRI/h1Kysr+d9ZvMQb7Rkf\n7TX4qm/O6XR63FxBQQE9//zzNGLECBo2bBi99957fFUkcqc+iW9SisFvt9tJEARqbm6muXPnkkql\n8hj87GfgwIH02WeftRYsFEOyh9But/N7vXDhAikUCgoODqb333+ffv31V4/B7jXwJbWDiOjbb7+l\niRMn0ty5c4mIeGqiXq+n6urqDmkPIqLi4mJ+vwAoMzOTv+YdhPaHHaWlpfT2229TdHQ0zZkzhzZv\n3kwxMTGUkpLCPabW4I9JmohIp9PR999/T3Pnzm11zH799ddt9Y+kdjQ2NtL8+fMpPj6eBxPFTgwL\nbLNJUapUQCL3gtjY2MgXA7vdzueMwsJC3hZjxozxWPClag82STNYLBaaNWsWqdVq6tevn8dFzGaz\ntwffbjs6NAVPLpfzoMKgQYMwePBgWCwWfo7FYLPZWtTaS3EGy9JnVCoVJk2ahJCQEPznP//hgSe5\nXI6UlBTMmTMHf/nLX3hlE+C/FCtBELhiOeBm8mLn5IWFhRgwYECHqDEDbp6D8+fPo3v37sjOzgYA\nxMXFAQCvMmSQqtrQG4ymNDU1FYD7flNSUvj/vfuBEStJbYtWqwUA1NfX44MPPsAHH3yAAQMGYM6c\nOfwctCPAqDjDw8Mxbtw4DB06FDExMTh8+DAOHjyItLQ05ObmYvz48R5FV0T+oeZcu3YtVqxYwSk4\n2bXE12VMeIC0lcJMmFmc9siuw1IlGTmXeD6Rqi28A8NKpRJLlizB888/z9vAbrcjMDCwhYq8L+gw\nPmlxlJgFnIKDg1u9GSn5eb1tYJ3cr18/9OzZE7Nnz+ZcrzabjU+Y3tkc/pocvRcoVuUIANnZ2R7B\nEH+CMXslJSUhJSUFmZmZcDgcsFqtPOOEEVP5k6vYbrd7BDL37NmD0NBQdOnSBVqtlj+UzKbWxADa\nC/G9xcXF4eabb8b777+PhoYGGAwGjBo1iucCt/VZqTmu2aTAFqLQ0FA8++yzMBqNOHv2LORyOcLD\nwztkggbcQcOMjAzk5OR42ClGUFCQ3xZxcQBfqVTywG16ejoefvhhmEymFmRbUtIoeLcrESE2NhZy\nuRwOhwNms7lVgi1f+uR/xictBktfYjdCdNnyZ8mVFQBPhqrLPWyixvYLL60gCKivr0dAQACio6Pb\nTB3ypx3ifhDjDwaZ33h6WRrmFT5kfmsPb/zBROR3/mTx5NhRdrCdMOB2XMRjpCPHR2t9crmJ0N/P\nrfe1GC7TJldsR0dM0p3oRCc60Yl2olOIthOd6EQn/sTonKQ70YlOdOJPjM5JuhOd6EQn/sToiOyO\nNiXZxdkWrX5QFMDylyQ7O5NngcPg4GBYrVZYrVYeTW8jKCO5Hd4BU5fLhdraWjidTkRGRkIul7eW\nZSKJHez6LpcLNpsNRNRCwb0tu6UMyLQVEGKZN+Ly5DY+4/fAYWtpo+x9oj6UPMDNxobD4UBQUBBK\nS0tx4sQJEBEGDhyIiIiIFjw4/rADuDwXRRsBPL8H7MRgGUJBQUFcX/W/ZfsdEjgkIs4lzX4Aj368\nYjs6LAWvxYVbSWnzjpYHBATwAekvsMHEFg7AnRtrMpkQGhrKsyuUSqVfU5sYnaHT6eRpicePH0dR\nURHMZjPGjh2L2NhYv1wbuPTQsXYwm81obm6GQqHgueXefdbGIuqzHYDnWGD5qd7k/iytSipCd+/v\nFreJeAwykiuZTMapMBUKhQc5k5TjxHvxZv3w888/Iz8/Hw6HA+np6VwcwR8QK85cyb2J3+9Le1zp\nZwVBQGBgIE/RE0+QwcHBPovztmVHW6l9giBw3g7mWDCn9GrTEztMiFZsVGsGeufkMjCZJsD3gpa2\nvDSTyQS9Xs8HeVBQEHr27AmVSoXm5mbO/fxHnr8vYJMjYzcjIrz33ns4ffo0EhIScPfdd/OH05+L\nRXBwMBfVZDnatbW1MBgM6Natm8d7pZ6gAfAFIigoyKPAh3FwO51OWK1WqNVqCIIApVIpST6u972w\nB8+bhdHlcnHVD/Y+tpD7w5lwOBy80ApwLxDs9+XLl+PAgQPo378/oqKi/OrMsMWHkRU5nU5YLBZe\nV8C4xdlkxBY5X5+XPypWqqqqwrx587B3717k5ubi5ZdfRmxsrAc3PFtEfYH3PYidKtbuZrMZDoeD\n82x7g42vqx6vV1Oe2M4fDlYy29zcTFOmTKF77rmHdu7cSUSeHAjLly+nZ555hk6fPs1LQIl4iWm7\n7WAcAK2BkceYTCYPEdKZM2dSXl4eCYLAy7ddPgqvtmUDI6TZunUrZWdnU1RUFPXq1YsA0A8//EBE\nbhHbhoYGccl8u+1gJa5iHgStVsv/vmDBAho4cKAHTy/jJ2AiwVII87bWF+xfpkzy8MMPE9Elro7S\n0lJ65pln6L333qMTJ06QTqfz2Q5vlRqi1jlTxAQ/7P4dDgfp9XpJy6DZ9cU2mM1mqq+vp3/84x8E\ngKZNm8YFWduAz+NU3CZGo5EaGxuprKyMqqqqqKGhgbfBvn37uC3Nzc2k1+slE4D15uqYMGEC9ezZ\nk/r27Us//vgj6XQ6SktLI7VaTU899ZR4PHD8d1xJ8tyKSb1MJhPn2xH/xMTE8PawWq0eqlRXc+0O\nDRyy1SgvLw9r1qxBXV0dUlJSALir2RjFX1xcHD766CPs2bPHYwX01WMSr+pEhObmZv6a1WqFQqFA\nSEgIAgMDUVZWhsWLF6OgoADNzc0gukTNKZXnSORZTssoHhctWoT9+/fjzjvvxMKFC/Hkk09yL9+7\nussXMA9RfF6m0WgQHByMvLw8LF68GCUlJR4UlcuXL0dpaSlCQkIgk8k87qG98KY8ZZ6JwWDAyZMn\nkZSUhPHjxwNwe7a1tbVobGzEzp07UVtbC7PZ7EEP2V60tpUXe9EOhwMWiwWVlZXcm2Wvb968GXv3\n7kVFRYXPdojb1Ol08v4hcnNcf/fdd3j//fcxbNgwPPvss0hOTobVaoVOp/P52mKwthC3iVqtRmRk\nJHr27In4+HgEBARg7dq1MBgM0Ov1KC8vB3CpglWq8Sp+9r/77jts2rQJaWlpePHFF/GXv/yFV12a\nTCYsXrwYr732Gg4cOODxHb7uNMQTp3is5Ofn49tvv0XPnj2RnJyM6OhoAG4+ejYeFAoFL2v36cJ+\n+vHA8uXLKSEhgWbOnNmCsUvMuob/em6tQBI72Orf2NjIVzdGpFNYWEi5ubkeniPzoqWkKmXfxdi9\n9Ho9vfjiiwSA+vbty3cRJpOpNSIhn+0QewZ6vZ4cDgdduHCBq4FERERwzTgxGdWUKVPI4XCQzWYT\nM6O12w5vZjFGFLR69WoKDw/38BQZmc+iRYsoICCATp8+LVl7MFssFgtvb0aFKsapU6do+fLl9PDD\nD1NMTAz16dOHNBoNzZo1i3bs2CGJHQyMQZIx/zEGye7du5PNZiNBEDxYARlbndRETzabjaucmEwm\n0mq1VF5eTlOmTCGlUklr1qyhtWvX0k8//URE7udKq9VKMj4YBEGgESNGUFhYmIdtVquVnE4nNTc3\nU3NzM+l0Onr66adpxIgRtGnTJqqpqZGkPdh1GBwOB82fP59TpAYGBnKq1C5dulBAQAAtXbqUk0B5\nkS5d8bU7xJMmcp9llZaWYsWKFaisrMSDDz7I1S0aGxsBXCJQZ4ooRqMRJpPJLzYxD4itbj/99BPy\n8/PRp08ffPbZZ9i2bRtXnwDcnrbT6ZTUk/Ve2Q8cOIBvvvkGMTExuPPOO6FWq2E2mxESEgJBEKDX\n6yUj2Qc8PSQmJrB+/Xr88MMPAMA9M0bIz4Iyv//+O0wmEw+eSQEi907F4XBApVKhsrISixYtgl6v\nR3JyMr9vIreXuWbNGhAR0tPTJbk++27v4Jhareb3uGrVKvzf//0fbr75Zrz00ksoLi5Gr1690K9f\nP9x7770YPHgwV1WXCixoq1KpoNVq8cYbbyAiIgJvvfUWZDIZ5HK5x/knO4tlGQ1SQUwaFBISAo1G\ng3PnzuHo0aMYNmwY0tLSkJqairS0NP5+5j1KhaamJhQUFHAlebFgB+MECg8PR3h4OKZPn46srCwU\nFhaivr5ekrZgY5SNRSY2cc0116BXr178Gjk5ObjuuutARNi6dStOnTrF39/uC/v5h4jcqy/j55XJ\nZB5etDeh/blz5ygyMpIAUEFBAXlBEs9AjJqaGsrOzqaZM2e6L/BfG/Py8shisZBOpyODweAXMnUi\nt5diMBjozTffJAA0YcKEFmIEOp2OmpubyWg0ep+tS9oet956q8e5GtNYlMvlNGLECJLJZCSTyaii\nosL7o+22g1FAij3WmTNnEgBKTEzkbcT+FQSBAFB8fDx/v1TtYbfb+XexcanVaikvL89jN3HLLbfQ\nDz/8wDUfCwoK6NixY+KxLPk4ZXqCjz76KFVUVFBlZSWZTCYPrmUxL7gvdlxGBZ3jscceIwD0r3/9\nq4VHbzAYvJ/rdtvBxsfx48cpMDCQli9fTkajsYXO5NmzZz1iWPn5+ZSbm0t5eXmSxE4cDgenO2Z4\n9913afDgwfw5mThxIm3YsIEefvhhAkApKSm0atWq1prviq/dXoOv6uacTieVl5fTSy+9RACosLCQ\nmpqauAisxWJpMVHPmjWLANCyZcs8glm+2MFsEW9ZFi1aRP8fe28eHVWVfY/vTFUVMgcCwTAERAjI\nLBj4MNuAIiDigNAgKi1qGlpF8WPzBbptaRvFARQRcQCBjyAoMiiiCDIKyBiIgglTIAlJSKWSVKXm\nYf/+qL6XV5UKQuoVun4rey2WpqZ33r333XvuPefs3bp1a7Zp04bl5eV8++23OXHiRPm+4JQ2m820\nWq2qC40KfPTRR3Jhmj9/PufPn89BgwZx+PDhfPHFF2UgxGKxqLZY+D+I3377rZyEBKd0jx49+N57\n70mR0aZNmxKAFApWU4xBYN++fQTARx99lJWVlTXI1letWsWYmBh+8sknJL2qNmpMjko1GKHAsW3b\nNt56661SZFSQydcWUFSTXF4EI0lvEDc+Pl4qtMTFxbFZs2ZMTExkUlIS+/Tp46MgpEDQz4sSyoDc\ngAEDCIDr1q3z+Ux1dXWgIGxQdtjtdh48eJCDBw8m6asC4w/BgU56nY7p06erFmj3eDySR5ukjwDu\nDz/8QNI7Z8ybN08G/pcsWRLIzGu+9g0TotXpdDAajfKIQ/wXuEIlqNfrUVZWhoqKCuTl5QEAzGaz\n1BNTAyKlR+Cdd95BQUEB2rZtiwULFmD16tV45JFHsH//fly4cAEjR44EcKWAQG0aVcGPvHXrVqmb\nt27dOuTk5Mjjhs2bN2PQoEEYOnSoapSLgO9xx6lTp7BmzRoAQFpaGh5//HF069YNGRkZeOSRR2Qe\nsNjyiiMpUt0UvIsXL+LDDz9Eq1atMGbMGJnuJsSLy8vLsXbtWmRmZkrOa0FPGSyURQdCDLdBgwaS\nenL//v3o0KEDMjMzYTab5RFYSkoKNBoN4uLiQAa/rRbpgKQswMBnn30Go9EIwMud/D//8z9o3rw5\njEYjDAYDNm7c6ENzqxZEe4hxpyxs2rNnDwBImk5xhHgdjIXXBJIyB9psNkOv19fICS8rK5MBO8GB\nDgDJyclB50gLREZGykCu2+1GdXU1tm3bBgBo27at1AMtLS1FRUWFnDPEc11nBLGyXJdncOnSJc6f\nP5+xsbFs0aIF4+Pj2bp1a+k9AqBWq62RxrJixQrpTQW7EpL00eVzOp187733uHz5cs6ZM0cGK8eN\nG8d77rmHs2bNkp6MxWJRXbNNuS0VXklsbCwjIyM5adIkkuS6deuYkZHBhx56yCewquZxR1FRETMy\nMmSbh4eHc9y4cfJ94WE6HA7GxsbKlEA1tePEb02aNKlGYCgnJ4f/+c9/eMcddzAuLo4AuGPHDpJe\nKbTc3FxVPCUllB6k0Whkfn4+U1NT2aNHD5K+KaNK71KtnZbQFCS9/QOArVu35vr162t4t6tWrWJ4\neDgXL14cyP6g28PhcMjAssCOHTsIgN26dfNph1DJiblcLlZWVjI1NZUvv/yy/P3y8nIZ0BRqPiSl\nHuZTTz3FBQsWqDo+3G43q6qquGbNGnkUOH36dPl+SUkJp02bxpiYGN5yyy188803GQDXfO0bVnEY\nGxuLNm3aoHfv3jh06BCMRqP0DNLS0lBeXo6BAwciMTERN998M77++mucOHEC7dq1Q2xsrOoVXIDX\nY8nKygLgDUT17t0bs2bNQuPGjaHT6ZCSkoK4uDjpQaqVfqdMAxQQKWTV1dUYMWKEVAgXSiWJiYnS\ni1WzuMfhcODs2bP49ddfAQBdunTBhQsXkJOTg4MHD6Jbt26IioqCw+HA/v37UV1djaZNm6J169aq\nekvCUysuLobJZMKBAweg1+vx7bff4uuvv5apXYCX4F2oU0dGRiI+Pt6nLdVAcXExIiIikJqairi4\nOOlNd+zYEcCVAJ1Wq0VcXJz8W82KQ+GJiXtv2bIlevTogfDwcKmqvmbNGvy///f/MGrUKPTs2ROA\nersb8TskfYjsPR4Pzp07J20SyM3NRfPmzaVauVDWVmOcREREICEhAQ0aNMC+ffvk68nJyfj555+R\nkJCA5ORk+XpaWhoA7zMSGxsrKQ6CgRhjHo8H8fHxcpfToUMH9OnTBwaDQZL+63Q6mM1mtGrVSqoK\n1RU3TD5Lo9Ggffv2mDJlCo4cOQKr1SobtmPHjrLaMDY2Fp07d8a+ffuQkJCA9PR01SYDkrJSSGxd\nIiIiYLFYsGHDBowaNQp33323z3eUpchqV3Qpc3DFBNy6dWvMmjULmZmZ2LdvHz777DOcP38eXbp0\nQXJysrwHNarsXC4XHA4H8vPzAXglsqZOnYrLly+jpKQE0dHRcDgccLlc2LFjB+bPn4/U1FQ8+uij\nckuptgKHKH1/4oknkJ+fD5PJBK1Wiy5duiAvLw9WqxU9evSQx2WiTdSuwPzuu+8QExODhx56SL5W\nWVkpJyuhUgN4x7eYpANxi9QFge5JjD+r1Yq8vDysWbMGixYtgtFoxMyZM3HbbbeB9GZSqXEs5380\nqLTt0qVLAIDu3bvL100mk/x/u92uqmqOQIcOHZCbm4utW7di6NChAK4oOYWHh6OiogJlZWVyYrTb\n7YiOjpYl2sGApM+RmMjyaNOmDdq1a4f4+HgkJibC5XLJjLXMzEzcfPPN1yrQUPuFQ/yPpHfLpDxw\nV0LkEZaXl9NkMpH0bv8HDhwoswjUCsiIgJDYlp04cYKPPfYYu3fvTpLSRnE9fxl7BYLeNikxffp0\nhoeHMzExkdu2beP27dvlUVCvXr3k55QVkWrYUVFRwVdeeYU6nY5PP/10DbuMRiObN28ut9tXifqr\n0h4VFRXcvHkzly9fzi+//NInR1qn0zExMZEnT56UbREqO4YNG0adTsdBgwaxf//+TE9P5/Tp0+ly\nuVhaWlrjomazmRaLRbXjMLfb7ZMt0b59+xpHgZ07d+ZHH30kM6Vq6RvVxqmw59SpU+zVqxf/93//\n1+d98ewK+Kl6q2bHkiVL2KJFCz7yyCOBsr9Ikvn5+czKyuK0adN47NgxpW2q2GE0Grl8+XLZF1lZ\nWTx48CC3bNnCgQMHytd//fVXn/ZQ4JqvfcOOO5QcHIA3NzopKUkGDZ1OJxwOh/Qohw0bhpiYGLlK\nkurkOYaHh0Oj0UivZP369Th48KCsfLTZbGjQoIH0ECMiImROsFpb2UC/cc8992Dv3r04cOAAHn30\nUTgcDhgMBjRv3hyPPfYYAO8WO5CsVV0h+EJuuukm2Gw27N69G8eOHYPH40Fqaip++eUXrFmzBgUF\nBRg5ciSmTJnic1Qj2lNNJCYm1tjNCPIcm82Gbt26oVWrVnC5XKoFhAJh6tSpSElJwZEjRxAXF4fe\nvXvj6aefRkREhMznVyIqKko1sieRp60k9Zo9ezbmz5+PkydPIj09He3atcOCBQtkXnZlZaWPcLKa\nICl5UgDg119/xfnz5/HPf/4TgPeZ0el0PrqCyvsI9tr+vzF58mScPHkS33zzDfijIVYAACAASURB\nVI4ePYrHH38cHTp0QEZGBi5evIiLFy9i1apVKC0txYsvvoiUlBTVx2lYWJhP8HLx4sU4fPgwSkpK\npIixsF/5nTpdS60H/iogcKWjSdbIkiguLkZiYiLCwsJgtVqRlJSEoqIiFBYWon379v5UmapSDf71\nr39FaWkpXnjhBfTq1QtFRUVIS0vziVYrGb3UsEP5ezabDcCVQp6ff/4ZGzZsgMViwW233Ya+ffvW\nYL/zG7hB2eFyuWAwGDBlyhR8+eWXNT7Upk0bbNy4UZ4Bm81mH8pUNSlCXS4XTCYTYmJiEBkZCYfD\nIQmMDAYDWrRogQcffBBz5sxBw4YNERkZKUvTQ0lVKmC1Wn0KR5RHPWLRAuR2NqSUmB6PB2VlZYiP\nj/c5YhELr+IoTVU7Dhw4gOnTp+Onn36qsUja7fYaKuF1oeb0t0P8hsPhQEFBATQajVycLly4gBUr\nVmDfvn2wWq0y9jV48GCkp6cjIyNDOohq9osYc9u3b8eGDRvw/fffIzc3F4A3uyQ9PR2ZmZl47bXX\n5Nm1n2Pzx6MqDQsLg1arhcVikYOoqqoKERERaNiwIcLCwlBZWSlTqeLj49G8efOQKA4DXq+0oKAA\nLpfL58yoadOmAHxXQNHBap17iqAKgBpeWceOHdGxY8ereuxq0oJGREQgOTkZ//znPzFw4EC89tpr\nKC8vR3R0NB566CH07t1bTtDAlcEp2PrUhGDgE2eZOp0OFosFUVFRMJlMuPfee3HPPfegWbNm8jv+\n9KVqwWq1wmKxSC5vp9Mp71ns/JR9p4bXqISy/0nKIJzT6UR0dDTCw8MDUtcqz0xDgbCwMPTv3x+3\n3347gCupioA3iOpfEauGLeI3NBoNkpOTfXbkLVu2xOzZs6X36vF4YDabkZqaisjISNmGofCkAeBP\nf/oTIiMjYTKZcPnyZTRp0gTPPfccWrZsiZSUFJ+Kyz+8Jy3/UAw4h8MhqSbtdrvPDYmD/gAUkKqs\nhFarFZcvX8bBgwfRrFkz9OjRwyf6KyYHoYgsdgBq21GnH+CVgFUwdoiJQDz8ogw/NjYWCQkJtVLK\nitf93g+6PfzuC4Cvt7p37160aNECLVq0uNrvqdIv1dXVCAsLC5h/7XK5ZND5KvSxqo0PMf6cTiec\nTmcgYv8aUOTTqzpOi4qKUFZWhubNm6Nhw4Y1v8RaOcaDHqci6G+z2VBSUgKXy4UGDRr4ZJhcA0Ly\n3Or1ekRGRsojJ0H6pTyCUtK3Xo8dN3ySrvOPXOn0GybJHmjlu5F2XCNCpgAiEvev0QNQZZJWXuu3\n/g6VHTXeqGU8/EZmS8iPO67mHYZqnIq2UE6c1zhGVB0ftY0FJa9GqOxQQnl0qZyEhTOqhh03YpKu\nRz3qUY961BH1QrT1qEc96vEHRv0kXY961KMef2D8LmrhSohorMViAUkkJSUF5KAN1Rmb8mxPWY14\no88+/c/bqqurpa5fbZ8LhR3ijM3tdsNisQAAjh49irKyMqSlpaFHjx6IjIwMdB6q+hmsCB6L4Jzb\n7Zb3rxSpDYUdgc7Da8sLr+V89HeJWQg7FdkmIRunQOCz8VoEeW9Iewh6hatUXIbEDv95BPjNjJ9r\ntuOGe9LK9BmXywWj0YgjR45g+/btKCgokBMD4B0QIhCgdpqVyDBRDjDxWqAAkRJqnuMHCko5HA4Y\njcYaE3Qoru8PEQRyuVwoLi7G0aNH8dFHH+GHH37AuXPnasjThxKC+U5cS6T+CbL33+qnYOA/EYkU\nvN/6LKBe/9Tld0JRiq20RdyrWMT9RTnEQiqepRuJqqoqmEymGlJqymCn2hBFVU6n06eN/MdPIHuu\nFTd0khYdKBAZGQmDwYDnn38ef/nLX5CbmytTVpxOp9RIU7vDxeTs/3ApC1gEbDab5K9QenLBQNlp\nyhQ4Uczx7rvvYuXKlfIzBoOhxuqsZnsEUnvR6XRIT0+HxWLBtm3boNPp0K9fvxrtE+qJurS0FGVl\nZdJTiY2NRYMGDQL2Qajyg8XCJBbNyspKFBQU1KCgFMVBauaxK2GxWFBUVIRNmzbh3XffxbZt2+TC\nYbPZYLPZfFJX1YT/riIiIsJHFdtoNOLUqVNSrUR40qGeqEVBTWFhIZ588knMnj0be/fule8LJRU1\n+8X/nvwzXMLCwuScAVwh3RLKTtdtx/XUkNfxHz0ejyQBF3SHdruda9eu5aBBg2Sd+/Hjx0l6OQD8\naDBVVyKx2Ww+QgOC7tCfBvIqUMUOASWR/5133snevXvLv0tKSmp8Rg07lFwCgmTebrfz0qVL9Hg8\nNBgMfPjhh3nfffdJDhW9Xl+jL9VoD6UtVqtVKl0o/33++efyM4JYXujGqUFFKWxQqsRYLBap9rF6\n9Wp2797dx6YXXniBp0+fJllD2bvOdrjdbjqdTprNZu7Zs4cvv/wy09LSGBsbS41GQ51OJ3X10tPT\nuXLlSl4FqoyPq+Hll1+WNMPbtm0j6eUy8VMzCtoOpWCH1Wql1Wr14TeJjIwkAN51110krzwvaooP\nCCifRaFKI5RbBKqqqlheXl5D0OR67bhhGoeAdxsvjjO2bNmC559/Hjt27JCfE8nxSm4NAbU9A9Jb\nTEMSVqs1YGXSmTNnUFBQ4KPCrKbGoBLKLZrH4/FRMhc2Wa1WVa+p3LpWVVXBYrHIqq6wsDAsW7YM\nO3bsQN++fSUNpLLKUG1WQIGcnBxUVlYiKioKSUlJ8v5XrVqFEydOAPDq7IliEuG9qQXSGxMQuydR\n0LJixQocPXoUKSkpsj3Wrl2LAwcOAICqeo8ulwuVlZVYunQp3n33XVgsFgwcOBDPPPMMPvjgA2zd\nuhWtW7dGfn4+du/eLb8rvDfxzAWDqz1zwoPX6/VYv3695Bq59dZbAXjHsNDNVMsOpXK6TqeDTqeT\nOzm32y0ZCn/++WefkvVQVKSKMvWqqiro9Xo5BiMiIlBYWIgdO3bgjTfewJQpU7Blyxb5PaUu4zUj\niJWlTiuQwJw5c9i7d2/OmDGDbdu2pdcUL4xGIw0GQ0C2MbXtEDh9+jRHjRolbVH+mzp1KklKRWI1\n7BDen81mo8fjYWVlpfQK/v73v7NFixa8cOECySurdi1eflB2+CtOC0kzkgwLC+OgQYPk3/67G2HP\nfz0V1frFYDAwOzubhw4dYllZGdeuXcs2bdqwa9eukgFPsJpZLBY6HA5Vdlpih6BsZ2W7NGrUqIYw\nxcSJE6Un7ScDV2c7BANeTk4OX3zxRb7yyivSHqGHWVJSUmN81gLV+kWwQQo19QsXLvCFF14gADZp\n0oQLFy4k6R2vAXZ9QdnhdDp9vGb/sXjp0iUpL9a6desatodCE1T8ZnV1NTdt2sSePXv6jA+hHr5s\n2TL5OSHHdz3XvmHcHf6488470atXL/Tt2xe7d++WJOIiwyIxMTHk551OpxO7d+9GdnY29u7di40b\nNwIAbr/9dmRmZuLcuXPYvHmzD2mMmurHwJVoueBuBrwK1dXV1fL8t7q6GomJiaqfuYr2VRJeGY1G\nNGrUCFu2bEFiYiImTZoEwOvFZ2dnQ6/XS1VoISOktl1JSUk+8mpfffUVzpw5g8mTJ8sSYGG7kgcl\nWIiSd5KyPcTOYdeuXdDr9QC8ogM6nQ7Z2dnQarWSQ8PtdqviTQtl7rS0NIwZMwbt27cHAHnm3KBB\nAxw6dAiAd6z079/f5/u1EIJdN8TYBCCznoArjH+lpaVSsqt9+/bo3r27DOwK2TM1IOxQxkOEIILD\n4YBGo8FPP/0kRUQaN24MwHuGX1vwXQ2bLl26BLPZjPfffx+bN2+Wkn8tWrRATEwMDAYDWrVqhdat\nWwOA5Fy5Xvxuk3T37t3lVshsNstDdTFAlZwdgQJ6dYFYmURDnTp1CrNnz8avv/4qCVoyMzOxadMm\nWK1WvPrqq2jSpImUqQdqEiLVxQZxb4LhDfAGUSsrKxEbGyvVYPzTiJRBBzXJnkQ7u91uOaDee+89\nPPLIIxg1ahQ++OADnDhxAhcvXkRkZCQmTJgg2yRURx4CBw8elNqLsbGxqKioQIMGDWQ/CHpQ5YRS\nVwghCKfTKSd/jUaDI0eO4KOPPgIApKen46mnnkJJSQlOnToFp9OJqqoqxMXF+bRlXaG8j8TEREmq\nX11dDY1Gg9jYWJw5cwZr164FAPzlL39Bnz595NhWqqGoMUmL50WZNSLKnQ8dOoTs7Gx07twZ999/\nP2677Ta4XC7VibeAmhkTQnPTbDYjMjISR44cAeDtw4yMDAAI6ZGHXq/H7t27ZeYTACQkJGDgwIHo\n0aMHPv30U5SWluKRRx6Rz4qY264bQbj/ddomXLp0iWazmUajUeoH9u/fnxqNRn6moqKCFRUVNBgM\nNJlM/uTudbbD4XBIvb6ioiIuXLiQU6ZM4SeffMJTp06xuLiYJPnVV1+xS5cuBLwKwIJUXbnFUas9\nrFarPGIQ7TFnzhzqdDoZMBTbTLHdUysQolR0FsGx3NxctmvXjlqtlkajkc888wwBcNSoUXzxxRfZ\nuHFjzpgxw/82VGsPs9lMl8vFdevWsUmTJgTAuXPnctSoUQTAhx56iIcPH6bD4ZA2q2WHOIKyWq3y\nxx5//HECYLNmzbhv3z6pZ3j69GmOGzeOzZo1k4E7tTQw/aG0p6SkhO3atSMArly5ktXV1VJdXCAU\n2pMCymdRBFFXrlxZ4yhOBKHVEkFQHvmJ/xdHXkuXLmWbNm0IgLfccgvXrl1LMrCiezB2KNv4u+++\n4+DBgzljxgyuW7eOJ06ckO+JI49OnTrVKnRyPdeuq8F1HnRiQjIYDLIRO3XqxKSkJJLeLAtxY9XV\n1bRaraqeObrdbno8Hur1eu7atSvgOW9mZibDw8M5ZswY+Zr4nNpKE2azWbaJmISzsrIYGRkp26eW\nyUgVO0R7iDafOXMmNRoNJ0yYwJUrV7JJkyacPHmyFMHt1KkT58yZQzI0UXNhx7Zt2/jAAw9w2LBh\nNJlMXLp0KQGwcePGfPvtt2tcX02hYtHHJpNJni/+61//qtHwn3zyCQFwwYIFJNWdHAUcDodULiLJ\njRs3MjY2lq1ataphj9qTEnmlXf1/u7S0VLbN+fPnpeKRmJiFUo1az4tf/IOVlZVy8RoxYoTMdsnM\nzOThw4fpdDp9Fjc12kPZv4cPH+Y777xT48fz8/MJgPfccw9XrFghXw+Q4XHN166rwXUedALKVUmr\n1TIzM1P+ffHiRR49etTn82o+hP4NVlBQwKKiIpLkq6++yvT0dG7YsIHklUmjsrLSPxhSJztqS2ty\nOp3SriFDhhCAz+RsNBp9JiU1B7/yd5s2bcqePXtywYIFBMCBAweS9D6U69ev55NPPslLly7RYrH4\nK0irNj6U/aO0rXPnzgTALl26yKCySJFTqz3E/eTl5XHatGls3LgxP/vsMx/7xJg4fPgwo6Ki+PHH\nHwe6jaDbw+PxyInm3LlzzMrKYlpaGj/66KMaFysvL/cJrKlpB+n73JSVlfGVV16hVquVyt1KT1cE\nX+12u2oq3UoPWgmLxSJl5u677z6eP39eth15ZXejlkdP+irFWywW6cAIR0KZKioQzCR9Q1PwlPAX\nrRSKyGVlZViyZAlWrlwpxS7pndxUsUNUjwkUFxcjISEBN910E5YvX44FCxbgX//6F0aNGgUAMv1O\np9PJM8tg4H82pqRWFOfu4poajUYGE3U6Hex2uzxzDNSmdbVH2GA2m6Vad2lpKaKjo3HffffBYDDg\ngw8+wIwZM9CxY0c0bdpUxhDUskMJZf9UVVXJgiZxXn78+HFZSCKI+dVIjSSvnAdfuHABe/bsQe/e\nvXHvvff62CWCUTt27ECHDh3QqVOnoK8dCEp1+m3btmHHjh0IDw/HX/7yFwCQcRSTyYSoqKiQnAUL\nCNk5t9uNo0eP4vPPP0ejRo1kIFdZvCHaUU0BAqUCjrKvv/76azkW7r//fqSnpwO48pyJ50etM2m3\n2+2TLms0GnHTTTcBAP79738DAO644w6fzwNXLVP/TfxuBEsiS0IMNL1ej507d2LZsmVYtGgRioqK\n4HK5YLFYYDKZVJkQxOTmdDrlJBMfHy/zK6dPn47q6mpMnDhRfkdE7oW9agbK3G63zH12uVzy/vLz\n85GQkICoqCjJaSIECJScCGq0h6iSA64MZJfLBb1ej4yMDFgsFsyaNUtqxt15550AvNke/hWkakFJ\ntC+yWux2O/r27SsXMjEhiclDjcCyMlPl3LlzyM3NxbBhw2TfKxWn9+7di7Vr16J79+5yolK7LZTB\nv++//x6//vqrjw0iAyYuLk6O4crKyhql2mrCbDZj+/btyM7ORtu2beWkKMaRGJuhyE2OjIyUVcgA\nsH//fpmRFRcXJ8emsq5BtKEaTp7yN8rLy1FeXo4mTZogLCwMP//8M86dO4cePXrIHHpx/aARhPtf\np21TZWWlPL86cOAAJ0+eTAA+FWZ9+/aVQTOj0cjKykrVtrPiWKGiokJuQbZt28bevXtz9OjRPH78\nOK1WKwsKCuT11T7bElCeh4sgiMh/HTp0qLw+ydpsCMoOt9stAzziOqI/lP8yMjL41Vdfya2sy+Wi\n2Wz238IF1R4ul4tWq1VuKVetWsV33nmHhw8flhfo2bOnzxEMGbAKU5Vx+tZbbzE+Pp4LFixgZWWl\ntKu4uFgGldu1ayf7xe120+FwhCRmQZIrVqyQz8hbb73F9evXc9u2bfzggw+4b98+fvHFF3zhhRf4\nxRdf8OTJk6rkayshguqbN29meno6AfDy5cv+H/M5ChAxIDXtEL93/PhxjhkzhgDYtWtXfvjhh7Xa\n4QdV7BAwm82cM2cOo6Ki+N5779HtdrO6ulo+z9XV1bUd313ztW94Cp5IbXI6ndi5c6fkqKisrERK\nSgoefvhhjBo1Snqw4eHhUqlbDYhjBbH9OHToED7++GMcOnQI69evR+fOnQFc0ToMIN+lGpT3JCSR\nhGct0oiEhyRkvNT0UMT1IyIiYDQaERcXhxEjRuDChQs4ceIEUlJS0L59e8ybN096iyaTCXFxcarm\nn5Jej16oTgPefjl8+DBMJhPS0tKwd+9eHDp0CKmpqXjiiScAqJ8Hq2zfli1bonXr1liwYAFyc3PR\npUsXxMfHY/PmzTh+/Di6du2K2bNny6q3WiTFgoZI0XzggQfw448/YsmSJXjuueekEKvD4UCfPn2Q\nl5eHqKgoZGZmQqvVglTXqxd5z0VFRVKZPCUlBcAVnp3o6Ggf0VXlf9WC2EkuXboUX3zxBQBg2LBh\nGDx4MFwuF8xmMxISEqSIsZJBMRTP8axZs7Bs2TI4nU7069cP4eHhcifo8XjQoEEDn91PnZ7fIFaW\na16BhPclvA2xsthsNubk5NBmsykrcUh6D9qVkXa1AlTKQFRFRQUffPBBZmZmcvHixSS9ARi/QANJ\nr8fmV42m2oqsjJwXFBQwKyuLmzZtqhFRF3aFyg5/CM+5srKSZWVlNbx5v8yYoMaHPxfIwoUL2axZ\nMx+P/tVXX5UVnyJwGUxAJpAdAjabjceOHWOLFi3k9ePj49mlSxcePHhQfk7wU4Qq+4f0emvl5eUy\n3W7Xrl1cu3Yt//GPf/CNN97gqlWruHTpUn7//fc+O0S17SDJkSNHEgCTk5N9Xhd951+xGQo7PB4P\nX3zxRQ4dOpQvvviifF05Pq/CO6LK/KHX67lmzRoCYL9+/STvUFVVlT+HC0nKDLW6jI8b6kmLi9rt\ndrjdbkRHR6Njx44Arpz5Cs6E6OhoH2l6NVZBUc0YHh4OvV6PQ4cO4fTp02jfvj3uvvtuAL7BGuX3\n1FQLV8LlcsHlckmPqVmzZpg3b570rMW1lUUKZGBe42Dg8XhgsVhgsVgQHx8PAFK9XXjz/tdUywbR\nrso+7tixI4YPH47vvvsOqamp6NKlCyZNmiQ9OnFGHwpOF8A7Htu0aYNZs2Zhx44duHTpEgYNGoTb\nbrsNPXv2BODd9SgfJuW9qGGH+C2xW9BoNPB4PLj99tuh0+lw//33w2g0yrNgwdQXTJDqt9CxY0ec\nO3cOjRo1QkFBARITExEXFwfSl55UubtQA8rfCwsLw6uvvurTRoAvd4roE7VtEFWpRUVFyMvLQ5Mm\nTTBgwAC5Aw8LC/OxQ8w54r264IYL0YqKLrEdIb1kNgkJCdBqtTKop9FoajtqUIW0u7CwEKdOncLu\n3bvRo0cPjBo1CjabDUajUZaVKm0OlR1OpxMej0cuUspriQVDBAnFZK22SrfSliDKmlUlU6+srITB\nYIDL5ULbtm1rvK9ctEJph9vtloFrZUBIjGNBy6mmHf6TjxJmsxlVVVVo3LixT7BUuVCEanwAwIkT\nJ+ByudChQwd5NCWeWX+iq1DYYbfbYbfbodPp5GJktVqlEyVeEwtXgIVcFTvy8vJw4MABFBUVYcSI\nEejUqRMqKioQEREhnRyBWsRx/1BCtL95ASUPwzVA9YdQ2QZiEryGstqQKk2IB/VqD+yNsOM6cENU\n3G+0Yo5yZyXGiXAugKt6R/+/75dAO4gb2R7+4+H3GB/+3PBCMEPN+aNeLbwe9ahHPf7AqBeirUc9\n6lGPPzDqJ+l61KMe9fgDo36Srkc96lGPPzBuRArebx5622w2SSQuv6QIAvil06hy8O//+0DgoIco\nQw2Q1qR6IMRut8NiscBoNKJhw4YyDS/gj1yxX1U7ROK9yJ7QaDQ4cOAAysrK0KxZM3Tp0qW2dEjV\n7PBPnwpEYq/MfBF//zfbQVU7lMII14mQBewMBgOsViuSkpJqFPOEMvvntwJz4lkRGS9+ge+QtYeQ\n8lJyvfs/3wq7Q2aHGJNqJ0D8bqT/SpSWlsJutwdMtRJQi9hd+XuAt2LL4XDI/OnIyEgfohrxnjK9\nSE07BAoKCnDmzBnk5OTgwoULaNGiBe6++27ccsstACAVj0UVVShytoErhEs2mw0kUVRUhM8//xxx\ncXGIjo5GRESEnLhqSYELCv6BbJG+5D/wQ62BKWwRk87vhUCCF5cuXYLFYpFVuUooiYhCNUZqg9vt\nht1uh1arlU7NjbDB6XTKXH4B5XVDZYPSeRBORUiuFUQFznVXDPkTiJNkdnY2Bw0axLS0NPbr149v\nvvkm8/LySF7hlggFb7ES/hVSgiK0urqaubm5vHjxoqwqU5ua02az0WAwcOXKlRw3bpzkxQ0PD+fI\nkSP5zTffyLarqqqi2WyWyt5q2RFIzVhURy1fvpwAmJWVJbX8BNRS6b4anE4nz5w5w7y8PNpsNlZX\nV9fgjAjV+HA6ndTr9T58zkVFRczPz1dqXfpAjYpDJc2m1Wr9LT7x2tohaDt+CxaLxUeHtLS0lKWl\npbUR3atuR1FRET/88EOmp6ezU6dOfP/993np0iWSXo4gUaGplh3+v6Wk+fUXi1Dqhgb67vVcu64G\nX3cjC3FKUQJcWFjIrKwsAuDChQvpcDi4c+dOPvvss3zjjTd8blatRg60SChVV+66664a5ELJycmS\nH9ZPsl21QefxePj4449LSfq4uDg2bdqUABgWFsaHHnpIftZqtdLlcikXrzrbIUpVlSXZxcXFklzq\ns88+Y5s2bbh69Wp5/aKiIlZWVlKv19NoNKrSHi6XizabjUajkadOneLBgwdZVVUlRWbFfQvSGiUq\nKiqkmK/agrhKnD9/Xo6J8ePH88477+SgQYO4ceNGLlu2jAcPHqRer1dl8RQc2RcuXOB9993HFi1a\nsH///kxJSWFkZCTnzp3LnTt3krxCJORyuXxEhBWosx2BJn0/R4WVlZW8fPkyL1y4IDnZlVBjnAay\nY9asWbI/5syZw/79+0vyLaGUI9pHCAT/dwENanxcpdxcLuY2m02O1TNnzjArK4uPPPIIN23axKKi\noutuj7oafN2NbLPZJN8C6ZWfSUtLIwC54pw+fZqrVq3i6tWrr+Y9qNbZyhU/JyeHsbGxTExMZGRk\nJHv37s1HH32UALhu3TqK76s5SSsHe69eveSgGzx4MJcuXcpp06bJ1y5evCg/68drUmc7lLwoYqdQ\nUlIiB1j37t2p0WiYn58vrys4ViwWi/Tqg20Pu93OyspK5uXlMSsri0OHDuXkyZM5evRo3nvvvRw2\nbBibN2/OmJgY9uvXj88++yzPnj1L0ktA7+cxBd0vgbBx40Z26dKFc+fOpcPh4K5duzhhwgT279+f\nkydPZkFBgWrKLEJSbdeuXWzevDmjo6OlZBYANm3alLfffruPfS6XK+AiFor2EMpG8+bN45AhQ9im\nTRvecsstbNOmDdeuXesj2KFGv/jvdKuqqiTR/7Rp0/jUU08xNjaWYWFhBMDmzZvL+UMwNop5J9j2\nUC5STqeTZWVlkvlu06ZNNJlMNJlM0rl88803CYBt2rTh22+/zV9//fW67airwdd1czabjXa73ccr\nfv/996nVapmYmOjTAadPn+bYsWPZp08fnjx5Un5XgTrbEWgVLC0t5T/+8Q9JA6nT6Th8+HDu3LmT\nBw8eZGJiItesWUPS67UptjB1tsPpdNaQRfr++++5ZcsWedRDemlKP//8c7Zv356zZs2S+npqTkpK\nEislZsyYwfT0dG7bto2kl0iopKSkBvmUGh6swWDgxYsXuXnzZk6aNIlz587lyy+/zPfee4/bt2/n\nmTNnaLVaee7cOZ49e5YzZszga6+9RpL+9KBBt4eAwWCQxzu7du1i//79pQJLdnY2J06cKHc+Qk7M\nD0GNU6PRyBMnTtQgtSovL2dqairT0tICSlsF2C2q0h5iMd6/fz9Hjx5NAOzWrRvHjBnDf/7zn1y6\ndCnHjRtHABw9erTPd9XwpMW9Op1OfvTRRwTAd955h5WVlUxISOBLL71E0ks7fNddd7F9+/Z86623\n/G8j6PYQnrmyX86fP8+BAweyf//+zM7O9iGL69q1K5s2bcotW7bw8uXLddpp1dXg67o5u90uJybR\n6Fu2bGF6ejqjo6O5Y8cO5uXlMTc3lzNmzCAA9uzZkyUlJayqqmJ5ebkqRV6dNwAAIABJREFUZ33i\nmED5UK9du5a9evWiRqNhVFQUW7RowezsbJLk6tWrGRsby40bN5K8wngWrB3i/Ep5tmqxWOQCYLfb\n5Xsmk4mjR4/mkCFD+Msvv9DpdLKqqkqVbbU4U7bZbHQ4HPJ3f/jhB0ZFRXH+/PkkvQvZp59+yhkz\nZvCll17ykW9S40za6XTSZDLx9OnTzM3NJXlVPmDOnDlTPpT+fL3B2KGExWKRi2h2djaHDRvGiRMn\ncteuXXzsscfkBP3CCy8wJycnkJlB2WE2m+WxE3nFe502bRqTkpI4ZMiQgG0UQOcw6PZQLsqPPPKI\n9Oj37dsnnwe9Xs/XXnuNAHy0QRXfV6VfTCYTn3nmGaanpzMvL48Oh4NTpkyRfWC32/nll18yLCyM\nQ4YMqdE+wdrhcrl8dvknTpzgk08+SQD85JNPfC50/vx5pqSkcPTo0YH44K/52nU1+Jr/iQ4Wq2FV\nVRWNRiNPnjzJ4cOHU6vVsmfPnrz33nvZtm1bOQDGjRsnt9ciGBBsIwudNOXZ8htvvCFJzJOSkvjs\ns8/KC02fPp2pqan87rvvKL4frB1K76e0tJQOh4Nms5k2m02e3yk95dLSUs6cOZMZGRnSozeZTKpp\ntokFw2w202AwsLi4WMYKxELwj3/8g23btqVOp2PXrl05duxYBkDQD6FiSyohvBbh1Z47d47du3fn\nwoULSXo9XnEmrYYdtZ05Llq0iBkZGRw7dqwco926dWNRUVFIRCHsdrvUziO942DOnDlMSkoi4FUv\n37Ztm3w2KioqaDAYAlGFBmWH2+32ub/4+HgCYOvWraV9p06d4ssvvyyPPF5//XXV20Pg5MmT7N+/\nPwcNGiR3lseOHfOx0WAwMCEhgampqaoGDsmak/SwYcOo0WiYkJDg40E7nU7OnTuXKSkpUgeyrnbU\n1eDrujnloNHr9SS9AagzZ87Q5XLxyy+/5Geffcb169ezsLCQOTk57NGjB8+cOUObzSY/F2wjK8+S\nhE1i6wSA+/fvJ+mdLHbv3s3evXuzX79+8vW6NnKg9lAKeyq9H4vFQuXCJhAbG8vly5eraodYrMRg\nJ8mXXnpJBsdI8u9//7vcwu7fv59TpkxhSkqKqnb4Q9ij3H0JCDUO0X/V1dWqqcmTNc8/ld6sOBLr\n1auXzLoR31Hbo7dardTr9dTr9bI9Dh8+zIMHD3L16tWcPn06ATAyMpIzZsyo0YZq7DwF/7vog+3b\nt7Nz587ctGkTjUYjCwsLefnyZTZq1IgAmJCQUBuXdNDtIbB48WIC4PLly/2Fbn3G8dy5cwmAhw4d\nUs0O0R5Go5G7du3i008/ze7du3Px4sU+8YBLly5J7/qtt97i2bNnpbPxh+eTBq4oPLz77rvo2bMn\nbr75ZowePdonH1Sr1cJsNkOv16Nly5aq5akqc3xFXvSmTZsAAF27dsVtt90GwMtLGxYWhvPnz2PY\nsGGqqn8AV3K+xf1GRUWhpKQE+fn5yMvLQ9OmTRERESFpEHNychAdHa260Gh4eDhcLpdPbueHH34I\nABg7dixOnz6No0ePYvDgwZg5cyZuu+02/PTTT1KMMxS8xUqRT8DrROj1ejidTpw8eRIHDx5ESkqK\nzAdW6iGqAf987GbNmgEAfvrpJ6SkpCAqKgodOnTAwIEDAXj5z2NjYyWNrBoQvyOEX+Pj40ESGRkZ\niImJQc+ePTF8+HBERERg8+bNWLRoEZ588kmpnhPoPuoCQRUsfqusrAzV1dWw2+0IDw9HWloaLBaL\n5FAeMWJEjeuS6uZri/HRsWNHaDQaVFRUICEhAeHh4YiLi4PdbofT6ZT8zkq9Q7XgcrmwceNGfPzx\nx3j++efxwAMPyMKz6upqbN68GTt27AAA9OjRAzfddBPsdjtI1u2ZCWJlqbOnVF1dzVtuuUUGf0Tq\nzvnz5+VKM2zYMBklVmrfBWuH+B2bzcaPP/6YAHjHHXfw5MmT0jaSXLNmDSMjI7lr1y6S9Ml5VMMO\nAbvdzvfee4/R0dEyRzrQv8TERGZlZclz5GDbQ+mtC29k5cqV1Gg08sx5/PjxjI6OlrYWFBRw/Pjx\nNQJDaraHsEWv19c4c01PT2dsbCxff/11Op1On/RJNewQbVJdXc28vDw6nU6eOHGCY8aMkeeb58+f\nZ3p6umwjpffmF4QNqj2UXrlfLMQn4Gw2mzlz5kympqZywoQJqraHPy5fvszhw4ezcePGclyK/2/V\nqhW3bt1Ko9HI0tJSH50/Ne1YuXIlAXDevHnyNZfLJWM4VquVVVVVMr9/+/btqraHx+OhxWJhr169\nGB4eztatW/tklURHRxMAO3fuzFdffVVe1OFwyOOo67Xjd6k4jIiIgMlkkkT3YhWKjo6WK7Fer4de\nrwfgW+4ZLMgrPM2nT58GAIwcORKNGjWCXq+HVquF1WrFTz/9BJfLJT01NdSoAyEvLw87d+6E1WpF\nXFwcYmNj0bNnTyQkJODIkSPQ6/WoqKiA2WxGbm4uLl68iPj4eMTExATVLkr+X6EMk5+fj8aNGyMz\nMxMA0Lx5c3Tq1AlnzpxBSkoK3n33XRQVFWHYsGGq3Ls/SErRAY1GI8eH8Nrz8/MxaNAgDB8+3EfZ\nW0243W5UV1ejSZMmiIyMxAcffIBjx47Je27RogUsFgtyc3PhdDprjAu1vEalx6WkB3A6nUhOTobH\n44HD4UCDBg3w73//G0uWLMHBgwdVubY/RMVtSkoK3nrrLXzyySfYsGEDmjVrBpI4dOgQHn74YQwZ\nMgSAd2dIXlFqUdOTbtiwIZKTk3H58mWUl5cjLi4OUVFRUm8RAOLj4/Hll18CuKJVqhbEvYwePRoT\nJ05EbGwsLl26hCZNmkCj0eD999+HyWTC888/jwkTJkghDVElrKAvuGbckEnav6Zdp9OhpKQEubm5\nMBqNUslASNTv3bsX1dXVcDqdqtpBXik5PnfuHI4fP46xY8fiz3/+s08n79y5E3v37gVwRboolJP0\n+fPnAXgFNfv27Ythw4ahvLwcS5YsQU5ODi5evIjLly+jrKwMBoNBSosFC5Jwu92wWq2Ijo4GSTid\nThiNRgBAu3bt8Ouvv+LDDz+EyWTCunXrMH78ePkwqg3lAFaW+Wo0Gvz8888AgOHDh6N9+/YAEIyK\nTK0Q3CViTGZnZyM9PV1O0kIQQsi8abVaeeThcDhqcNDUBcqJTfSJ1WpFZGQkXC4XEhIS5LZeLNQ3\n3XSTLOVXc1IUR1viqK1t27aYNGkSBgwYgMuXL2PDhg24//77MX78ePkdnU4Hu90u1ZXURGpqKpo2\nbYrCwkKYTCY0bNhQvif6AQA2btwIwLuoqg2SePLJJ5GQkOAjnrx48WIYDAZMmTIF9957LwCvwlBS\nUhLCwsKg1WqlkO51tUsQ7n+dtisieCeKNzIyMnjs2DGS3sDExIkTCYBr1671+Y7axQrr169neno6\nJ0yYwO+//54//PADP//8c86ZM0cGZJ555hn5+VAJwC5evJjNmjWjRqNhRkYGu3TpwhEjRrBTp04+\nxx3z5s3j6tWref78eer1elVS31wul0+q2e7du+X1RIoZ/lsSvmDBAh8B1gCosx2Bym2NRiMNBgNL\nSkp47tw5du7cmXPmzKHJZKLZbJb9IYoH1CoyUpb3fv755+zRowe3bt0qbSssLOQdd9wh88fLy8t9\njibUHKeBKmQ9Ho8sxdbr9bJP5s+fzzvuuIM7d+5kVVWVauPU4XDQ6XTSbDaztLTU59glNjaWCQkJ\n8m9lwVVVVVWdA2X+drhcLtrtdlZXV9PlcvG5555jVFSUzxwhrrNx40YOGzaMbdu29UmJUzOwLMaH\nMkc/Ozubbdu25cyZM0l6j6uU2UoiWaEudtTV4DoNOuWNffDBB7LicMyYMZw1a5ZMwWvUqJGsBlRm\nQQTbyMrJYM+ePRwyZAgBsG3btuzYsaNMxQPAxx57TOZe1pKzq0p7fPvtt+zbt2+tZ9EA2L9/fxlJ\nt9vtNJvNyjYJqj2cTqdPlsk999wjy48zMjI4ffr0GjdusVjk4Ax1pR9JLlmyxCdSr5woqqqq/Psn\nqPYQZ/6VlZWcOXMm3377bfnDx44d4+zZs/mf//xHvuY/NtRcxMViJO7zanjiiSfYtWtX7tixw79a\nNyg7lA6SsqBkyZIljIqKkpMSSclnIvhGlP0UjB2iYlmkuH333XeyMldkXlksFs6ePZupqamSaqIW\nfpWg+0WMERGnMpvNnD59OidNmiTnjMrKSjmZ22y2QHPINV+7rgbXqbPdbjdtNptP4CMvL48PP/ww\n77rrLv7nP//hgQMHfMq1RQGKGo2snKTLy8u5Z88eNmvWzGdCbN26NdesWSODUiaTiRaLxX/ABWWH\nP6qrq5mTk8OioiKazWaWlZXx9OnTPH78OC9cuFAjrcmv6k81O/xhsVhYVFTEsrIyFhcXy0HpdDpl\nMFfNSUnZz2fOnJE5wAMHDmR4eHjA9K4ArwVlh/Div/nmGz7wwAMEwPT0dHbs2JF9+vThU089JS9U\nUlISkpQzkerlFzCnx+Ph4cOHOXToUE6aNImLFi3io48+yr59+3L06NFcsGCBTHFVqz38cejQIY4Z\nM4axsbHcvn07LRaLTx2D4FgJReWj+E2Xy8XRo0dTo9H4PLtdu3bl1KlTAwULQ/a8LFiwgDqdjlqt\n1ud1MS5sNhvNZnNQ47SuBtf55lwuFw0GQ60sYv5Qm8VKbDkcDgf1ej1XrFjBxx57jF27dmXLli05\ndepUH89d5IkqqyWDteN64EfqFKhNVLPD6XT6eEBim+kPh8MhH5gb0R5du3aVeewB8pH9EZQdYoLM\nz8/nF198wZSUFAJgx44dmZOTIzMW7HZ7bVwZQdshxqfIE1c+4GVlZczKyuKgQYPYrVs3ZmRkcPTo\n0dyzZw9Pnz4tF9JQ9IvRaOS0adOYnJzM9PR0+brScxfHT2q2RyAUFhayuLiYVquVNpuNly9fZkVF\nBQsKCmoQTYXqebFYLJw6dSpbtmzJiRMnBrRTkIcFsOWar/27ZHfExcXBbDajvLwckZGRcLvdiI6O\nhlarlRFzEXwRmRhq8PoquV+joqLQsGFDPPzww3j44Ydht9tRXFyMFi1a+GQNREVFyei2+I1QwePx\nyDzURo0ayWiwf24lGRquYNLLiWu322G32xETE+PT5kqi/ToFQK4B/qT1+fn5KCwsRExMDKxWq2q5\nyIEg7j88PBzNmzdH48aNsXfvXkRERODmm2+WnxF5wmpmHSkh8o7F9ZRo1KgRZsyYgcLCQpSUlMDj\n8aBRo0bo0KEDtFqttClU4wMAOnfujPT0dPm63W6XtQVirAYQH1ANHo8HWq0WDRo0gE6ng9vtls9L\nRESE5CD3tzvYNvEf71FRUejUqRPS0tLQu3dvAN7xqmwbYZPy7+vFjVALD3gBcV3l9a/WqYpOV1VZ\nQdnwbrfbu3JFRl7LBBQyhYfa7Ps97bgGhMQOsXBFRUVdtZgnVONDCTE+IiIirkWEIuT9ItIQA9mg\nsE1VO0Ra3bUS3Ktpx289C+L931ggVLNDOYfVYUG6ZjtuxCRdj3rUox71qCPqhWjrUY961OMPjPpJ\nuh71qEc9/sCon6TrUY961OMPjBuR3RHw0FtZ8i2CEEeOHMHFixcRGxuL7t27Iz4+XvI3KKB6IKSO\nUWjV7RC2/JY9ftFq1e0Q/xUl2idOnEBxcTFSUlLQrVu32oI3qgfKSErWs7CwMDgcDplZIsqzA5Tr\nq2LH1YJUFosFNpsNbrcbsbGx0Gg0MoIfigBmkJkSIQtgejweuN1uWCwWREREQKvVXq1UX3U7lGrd\ngLekXxnUrEUxPCSJB3XIdLrmD/8uKXjKhhSDz+12Y+3atfjll1+g0+kwe/Zs3HzzzYEmaVXhP/hD\nmTpUG8QE7T+wlB0vJihBHRmqgK/L5YLT6YTH40FUVBT0ej0WLlwIh8OBLl26oF27dpJ0KlSpgOK3\nRSpgeHg4NBoNYmNj4fF44HQ6fXghgnhQasXVfqe0tBQkodVqa2SchGLs1Pab/vd7o8YuSZnpIsbl\nb0zQIYH/vUZGRl61DdRuH5EaLPKZxXOpdBwcDod8TTnfXQ9+1+MO5UQTERGBxYsXY8uWLVi/fj0A\nhGyCrm2CIwmz2Sz/FmQ7oYbwCkVqFwBYrVb5/4WFhYiIiEBUVBScTiecTqcqk5FoB2XusWCfEzmo\neXl5+Oijj7Bp0ybYbLYa/M3+Oalqwel0oqqqCjabDXFxcdBqtbBYLDAYDD7tJBY4kcMdSuTl5eHN\nN99Er169MGHCBHz77bc+9oqHNhRwu90+v20ymWAymeB0OuF2u2E2m0PWF/5wuVwIDw9HVFQUGjRo\ngPj4eDlBnzp1CmfOnJE57TfiGSouLkZFRQWAqy+Sai9gwjEQqZBiZ2ez2WA0GmGxWKDRaKDRaHwm\n8+vG9VS+1PHfVeF2uyXZ0mOPPRZISUFVnl4BQYBSUVEhOTGuE3W2Q8h4Ke+rpKSEOTk5smRelKWv\nWrWKvXv3ltwNFRUVrK6uVkpGBdUe/hWdJpNJXkuolU+bNk1qDwooeSWCbQ9lhWMgUqGZM2eyZ8+e\nPiXAq1atosfjodlslnJjamrpkb4l50eOHGFCQoIP5/ett94qy7BtNhtNJpOylLvOdvj3icvlYnl5\nOY1Go48SiRDLVYoXK+0OVk3e3war1Sqrb0+fPi1JwFJTUzlq1Chu3LiRo0aNYvv27ZmdnS0r7dRo\nD6VKN+nlle7du3eNsvANGzaQJIuLiyXBkXje/gvV+kX5mqBKIK+oBymrMoPhuqmrwUENfgGr1cqN\nGzdSp9Oxffv2PHfunHxPiJMKeXQ15LP8IZR/q6qqfAZ/fn4+f/nlF1lqKljH/FBnO8RAV9b0f//9\n93zzzTf5yy+/kPQOMpLctGkTu3fvLi9qNBpDIrwqoORNEbwmZ8+eJXmFXN1oNKquHUd6+1yUNZeV\nlXHlypUcP368nAhmz57NhQsXcuTIkRw8eDDz8/Pl90IxPsRDV15ezkmTJvkQ3Wu1WgLgggULZFm0\nkkEvGDvEhBRowRJts2XLFg4aNIht27blrbfeKvuosrJSssWpvWiJie7MmTOcPHkyAfgsWpMnT2br\n1q0JQFWRDNEeyhL5AQMGSK3HrVu3SjGArKwsKXFltVrpdDpDVhbuD3GdoUOHEkBtMnPXbUddDa7z\nzYkJZu3atezevTsB8NVXX5UMV0ajMRBJTJ1u7mp2KLF//37Onz+fvXv3llwN4l9ycjIfe+wx+VkF\nL0Gd7RBen7Kmv2/fvrzzzjuZk5NDi8UiF4bXX3+dHTt2DFl7KNVIxEJlMBikas2UKVNIsgZ/iNVq\nlWx4anhsQidQLBJicr711lvlNcWDv3v3bsbHx/PHH3+kzWaTD6Qa7eF/rZycHI4aNYoJCQlMTk5m\nt27duGHDBsmgOH78eMl8Jsi4grXDbDbLHZ7NZmN+fj4HDx7Mpk2bMioqigCo1Wo5adIkqYwi+CoE\nN43aOwvBkVFQUMC77rqLACSxUnZ2NhcsWMBnnnmGWq2W48aN8/96UHaIMap0Tt566y0eOnRI9vtP\nP/1EjUbDjz/+2Ic50263qyrMq6TIFYuhgNlspsVikcRPc+bMkUyTwbTHDQ8cinOhlStX4ujRo0hM\nTMTf/vY3NGjQwEcAIBDI4AJD4szO7XZj586dKCwsRGlpKXbu3Cn1BZXQ6XQwGAy4fPmyfC0iIiJo\nO8T5lN1ul+fudrsdGRkZaNasGaKjo2XwwWg0wmQy1flavwVxHyLo4XA4kJ+fj0WLFmHAgAF46qmn\noNfr8fPPPyMyMhKdOnVCQkICKisr0aBBg9oyLK4bpDcQJ37LZDJBp9OhcePGklg9Ojoa586dw5o1\na3D//fejdevW8sxTjX5Rfl+csX755ZfYsWMHjEYjEhISMHz4cHTr1g033XQTAMgAq7BBjeCZCCCL\njIny8nLk5OSgqqoKLVu2xJ///Gd069YNJLFhwwYkJSWhUaNG8h7EMyaC0cGA9J6hioCy0WiE2WxG\nXFwcysrK0LRpU3Tp0gVnz57FqlWr0L59ezzwwAM1rh2MHeK7Sg6Mv/71rz4xq61bt2LQoEG47777\nJP+MyLpRW8VHcJRoNBrZPoBXIKSiogIOhwNpaWno27cvgOAFQ274JC0M3rlzJwCgX79+aNCggRTc\nFCguLobNZkOrVq3ka8EOOLfbDbvdjqqqKnz99df48ccfcfr0aZ9JsGnTpmjdujUiIiJQUVEhRWAF\n1BCDFZJVyg4WgQeLxYLY2FiUl5cjNTUVVqsVFovF5x7UEOb1n9DEfdntdmzduhVHjx7F6tWrkZ6e\njvvvvx+XL19GUlISZs2ahQEDBkhR38jIyKAfgECBv1atWqFJkybYtWsXPv30U9x3331ISkrCsmXL\nsG7dOqxevRqpqany+2oHhcQ4PXjwoFSqefDBB/Hiiy/i7NmzMlIvPiccADUWLK1WC61WK8dHamoq\nHn/8ccTFxSEzM1OK4E6dOhUGgwFDhw6V31W2YbBtIjI4AO94iYyMRHx8PPr06YOKigocOnQI6enp\ncDqd+Oyzz3Dw4EG8+eabGDJkSI1MJTWgfF7EBF1cXIyvv/4an376KaZMmYLExEQAV+5dBOSDXcDF\n9YUNgkhKqAkJh6u4uBgAcPvttyMjI6NOclm1XjiE/0jS50xp3759BMD4+Hi+9dZb0v//8MMP+eyz\nzzIzM5Pt2rXjc889F9Q2wd+O6upqlpeX88SJE3zwwQc5atQozpo1izNmzOCKFSt8KBc//fRT6nQ6\njhgxwoefVg0KSHHUIQR4SbJdu3Z85ZVX5N82m01SIfbq1Uu+Fgx5eKB+EbDb7XQ6nZw5cyYBMDMz\nk1VVVRw5ciRbtWrFQYMGMSEhgZmZmTxy5AhJ+ihPBGuH2JYqz8SPHj3KCRMmMCYmhvfeey9bt27N\nRo0a8aWXXgrUH0Hb4f9b+fn58tirV69ePjzou3fvZnp6Oh988EEWFhaSpPLIJej2qA0iVmM0GgmA\naWlp3LNnDy0Wi1RCUfMMVrmdVwa5//73vxMAu3XrRgAcOHCgDNqRVJ3a1+Vy+YwNi8XClStXMjk5\nmQDYtGlT3nLLLRw1apRUzfETP1DFDuXRib8ij9ls5gsvvMD27dvXUDGy2Wy02+1/fKpSseKIY4U+\nffpgxIgRqK6uxpIlS7B9+3Y0bNgQ1dXVyM3NRdu2bVW/vmDJ6tevH9q2bYs+ffpAp9PJ1BmB7du3\nw2azYcyYMXLbAqhDAanM7xWwWq0oKyvDyZMncfnyZezevRsOhwM7d+5Ey5YtAUCmPYUCYWFhiIyM\nxNKlSwEA48ePx4oVK/DVV19h2bJl6NGjB/bv34///d//RV5eHrp3766KRy8g0uqU3l+3bt3w17/+\nFf/3f/+HDRs2IDExES+88AL+9re/AfBq2kVHR6tmh7JvTSaTz/HXwIEDkZycDNLrkWVkZKBTp04I\nDw9XXYvTH+KaIt1Q7LQAoFOnTujUqZPUzxOfVwvK/nA4HNDpdGjSpAnGjx+P999/H8eOHcPIkSPx\n4YcfokmTJj42qwkxNkQbREdHo0OHDrjjjjtwxx13oGXLlnj22Wexc+dONG7cGH/6059U2fUGskPA\n5XJBo9HI3e2WLVuwbds2jBkzBh06dJCfc7vdUuy5TvNHECtLnTyD6upqLl68WMpkTZo0iWlpaRw1\napRcfc+fP08AfPzxx31WKjVWQqvV6pNFUlJSQqPRKAOCbrebGo2G0dHRnDVrlvxcRUWFf8Q6KDuc\nTqdMsysvL2dqairj4uLYrFkzPvHEE1yyZAlff/11pqSk8K677vJvA1XsCKQtiP8S3P/444/s2LGj\nj+KEyWRiq1at+MUXX5Ckalkm/t6fkK8SaNeunZRE8ofayiwCZ86ckSmId911F3/88UeSlN600+nk\n1KlTOWLECJ46dUqmAqpph8PhkG0sftvj8bCgoIDPPPMM77nnnoBBKbU8af+AnbjWqVOnOGHCBAJg\nXFwcs7KymJ+fL3fL5JU+VSt11j/QLqB8rbi4mF26dKF3WqsVQfeLss2V3v19991HADx16hTJwBqV\ndbHjdzmTTktLAwDo9Xp8//336N27NxYtWoSqqirs2rULR44cQWpqKtq1a+ezmKhF2i0UhQHv2ZYo\n4ACARYsWweFwYMqUKXjuuedgtVpB0icIoYbnFhkZKb3i5ORkzJkzB1qtFi1atMCAAQMAeItYNm/e\nLM/Z1BA+uBrE2WurVq3QqVMnXLp0CXa7HYDX0//kk0/QoUMHqdatVuGG//mlw+FAQkICAODzzz9H\nbm4uAPj0m4DaFWTCDo1GI3dWN910kxwfwjvbs2cPNmzYgAkTJqBly5bSy1MTSjVwUURkt9thtVpx\n+PBhDB061If7XJzNq1l16XK5YDQa0ahRI0RGRqKgoACrVq3C1q1b8cQTT6CyshLr16/H4MGD0bJl\nSzk+Rb+oZQtJn12kCCZrNBpcvnxZBrDF9YQQgdIWtSCESQDf+8vJyUF8fDySk5NVvd4NmaTFIBKT\nXfPmzeV7ZWVl6NatG6KjozFhwgT88MMPAIAxY8bIAInValWl+pD0ErZrNBq4XC45YYsGf/vttzFz\n5kyMHTsWTz31FJKSklBdXQ2Px4O4uLgaZcjBQhlQePjhh+U9ihXUaDRCr9fLRU1ErK+F3+NaICZ9\nEfQQ2/amTZsiLi5OBsP27duH7OxsfP311xg7diw6dOggFy812sK/XcWE9M033+Bf//oX2rVr55Nh\nEyoo7yUsLAxmsxlarRY9e/bEbbfdBsA7SR87dgxz585FYWEh7r77bkRHR8vgs9PpVO1IKioqqkZQ\nVKfT4dChQ9i/fz8mT54sKxGjoqLkcYSacLlcPseAn3zyCZYtW4b4+Hi8/vrrmDt3LrZu3YqmTZuq\nel1/+I938gp/TXR0NDweDwwGA2JiYuSxgjiKCtVCrrTr8OHDyM/+g0XpAAAG4UlEQVTPx6OPPorG\njRv7PFtKpak6PS9BuP/XtU1wOp0+W5OXX36ZvXv3ZkJCggzOJCQkcOrUqfzyyy/l52w2m2qqw+SV\n7XFVVZWPAvPJkyep1WrZrFkzkt7tpcjdrgVBb5tIb06y2EIrK7SMRiM3bNjAxo0byzxtsX2sawDi\nanaINsF/c8MXLlzIfv36yb7JysriyZMn5Wf9RVLVtIMkJ06cyKioKI4ePZrr1q2jTqfj+vXr5ftX\nqRCtsx3K+zl79izHjh1LABwxYgTnzZvHp59+WhZR4L8VsgLl5eWsqqpSvTI2ENL/q2pPXhnPVqu1\ntu11ne1wu90yP5okt2/fzqioKE6ePJlWq5XHjx9n165d+d5770lbxLMaimIn0lvII3Qoi4uLfY6Y\nsrKyCIAxMTHyNYvFEhLhZmX+9fr169m8eXMuX75cvi+u53A45HPrVzV5zde+Yccd/kGhadOmYeDA\ngdi7dy/ef/99xMTEYN68eRgyZIiP16x2oEysYiLdz2AwYM+ePfj000/RvHlzPPnkkwDgkyLncDhq\n6AyqaY//Sh8WFoa4uDhoNBokJCTIbbRSo5FU7/hHQKvVIj09Hfn5+TI4BwDPPfccnn76abRs2RJG\noxHh4eEBjx7UQkVFBXbs2IHmzZsjKysLP/zwA2w2G/r37y8/E4r+ULaHxWJBUlISAGD37t3Izc3F\n6dOnAQBJSUkYMGAARowYAY/HA5PJhJiYmBtCcGQwGJCfn4/GjRsDAC5duoTExETpNaqVbgZcyQcW\n93TmzBk0b94cDz74IHQ6Hd5//33k5uaiU6dOAOCzwwsVj0qDBg0QHh6OqqoqHD58GI0aNUKvXr1w\n8eJFLFu2DAAwcuRIAFfSIkNxTCjGX3FxMb766iuUlZUhMzMTwBUytKioKDl/ieOoOiGIleW6PBT/\nAMelS5cCKoZ7PB5ZySa+5+chBLUSit+rrKxkdnY2x40bx/T0dN55553yAspggMlk8gkaqrUiKz0N\nsSKLNhLBlz179nD06NF85plnarRRKMqglfecn5/v0w4ul+v/a+/udZJpwjAA3xaCWSG6aBQNRBP/\nsdNCE0sroo2lnfEEOAQ7f2o7T8AD8BgsLIyWWqi9MWsIi7jC8nwFmXFA8n7qu8s7xX31wDC78+wz\nO39tA6dxZUoiIjc3NzpbHR4eFgCys7MjIq3ehrmEv4tfl6NzEPL+/l6Wl5clmUzKwMCAuK4rW1tb\ncnd39+VHO0/1/tv6UN8VBEFbhu77vqRSKTk+Pu7659U9FHVG73menJ6e6usyPj4uCwsLbYPr1Wo1\n9h6Ocn5+Lvl8Xk/lBSClUkkP2oVhKJVKRe+RE0U5utXJ3t6ebGxsyNnZmYh8rkh+f39vaz+KtVPw\nzFN81RNtYmICnufB8zxkMhk0Gg19QrU5dSaKxQGKuSXo6+srHh8f8fDwgKmpKezv7wMAnp+fMTIy\n0lb2OJgHWYZhCN/3dXZaLpfhui4cx8HKykrX3kRUmYFIK+uq1Wqo1WrIZDJIpVK6LCKCt7c3veLP\nLH8cms0mhoaGsLu7i6urKyQSCZRKJZ3Zq8U+cejMgufn53F5eYl6va5XgZrvFxV1HaM+QV1EdDam\nvvP6+hq+7+Pp6anrZ1R7iSOjX11dRbFYxMvLC7LZLA4ODvS7+iAIdOZqLvKJQrf6nJubQ7FYxMXF\nBcbGxjAzM4PDw0M4jgOgVXdqam2UVG8pDENUKhXk83kUCgWsra3pNqTGubplzr+5N3r6usO8uev1\nOhqNBsIw1Ms2O7fBjJralxhojZbncjlsbm5icnJSz4VOJpNt5VTdPTUgE2VwMpcgm11FVYbp6Wms\nr69/udhR7p1sLrnt7+/Xo+YfHx86OMR9XUzNZhOu6+Lk5ASJRAKDg4NtQbnz5lcBMq6HhpplAgDV\nahXlclkHa8dx9IyCqF/LmUu7gc+ZFre3t8jlchgdHYXv+3opfdzbtKbTaRQKBRwdHUFEkM1m9YpP\nVV5VL+Z87bjKNTs7qx/ei4uLX4KxSgqjpv5bEATo6+vD9vY2lpaWkE6nAbS3J7Uqt/OzP9WL08L/\n+APq90W+fSx6LCdNiLT2rVAj5eaexb0uB/B5sdUslD9kzrGdvPFDPSmHanj/qj7U9CvV+Lpl1XGc\nmKPuiyAI9Ltn1bP5n7bTk+uiuua9Kod5SMYPHwax18c3E4fvF7gHQZqIiH6JB9ESEVmMQZqIyGIM\n0kREFmOQJiKyGIM0EZHFGKSJiCzGIE1EZDEGaSIiizFIExFZjEGaiMhiDNJERBZjkCYishiDNBGR\nxRikiYgsxiBNRGQxBmkiIosxSBMRWYxBmojIYgzSREQWY5AmIrLYf5nkYVe+zQ0CAAAAAElFTkSu\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1294871d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 参考までに符号化して復号化した結果を確認してみる。\n",
"decoded1b = [encoder1.decode(encoder1.encode(x[0][None,...]))[0,:].data for x in train[0:100]]\n",
"\n",
"for index in range(100):\n",
" plt.subplot(10, 10, index + 1)\n",
" plt.axis('off')\n",
" plt.imshow((decoded1b[index].reshape(28, 28) * 255).clip(0, 255), vmin = 0, vmax = 255, cmap=plt.cm.gray_r, interpolation='nearest')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## PCAとパラメータを揃えたAutoencoderで試してみる\n",
"\n",
"『深層学習』(岡谷 貴之)の「5.3.2 主成分分析との関係」では、自己符号化器のパラメータ $W, b, \\tilde{W}, \\tilde{b}$をPCAのパラメータでおいた場合のことが書いてあったので、これらを共通してPCAのパラメータでパラメータ化した場合についても同様に試してみる。"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class AutoencoderPCA(chainer.Link):\n",
" def __init__(self, n_input=28*28, n_mid_units=100):\n",
" super(AutoencoderPCA, self).__init__()\n",
" with self.init_scope():\n",
" self.Γ = chainer.Parameter(shape=(n_mid_units, n_input), initializer=initializers.Normal())\n",
" self.ξ = chainer.Parameter(shape=(n_input,), initializer=initializers.Zero())\n",
"\n",
" def __call__(self, x):\n",
" return self.encode(x)\n",
"\n",
" def encode(self, x):\n",
" return F.linear(x, self.Γ, - F.linear(self.ξ[None,...], self.Γ)[0])\n",
"\n",
" def decode(self, x):\n",
" return F.linear(x, self.Γ.transpose(), self.ξ)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"epoch main/loss elapsed_time\n",
"\u001b[J1 0.0187652 2.61546 \n",
"\u001b[J2 0.00751468 5.13667 \n",
"\u001b[J3 0.00636274 7.67428 \n",
"\u001b[J4 0.0060684 10.1292 \n",
"\u001b[J5 0.00599249 14.0455 \n",
"\u001b[J6 0.00597028 18.1968 \n",
"\u001b[J7 0.0059596 21.2643 \n",
"\u001b[J8 0.00595717 25.5378 \n",
"\u001b[J9 0.00595472 31.9175 \n",
"\u001b[J10 0.00595122 42.3708 \n"
]
}
],
"source": [
"encoder2 = AutoencoderPCA()\n",
"loss2 = Loss(encoder2)\n",
"if gpu_id >= 0:\n",
" loss2.to_gpu(gpu_id)\n",
"\n",
"optimizer = optimizers.Adam()\n",
"optimizer.setup(loss2)\n",
"\n",
"train_iter = chainer.iterators.SerialIterator(train, batchsize)\n",
"updater = training.StandardUpdater(train_iter, optimizer, device=gpu_id)\n",
"\n",
"trainer = training.Trainer(updater, (10, 'epoch'))\n",
"trainer.extend(extensions.LogReport())\n",
"trainer.extend(extensions.PrintReport(['epoch', 'main/loss', 'elapsed_time']))\n",
"trainer.run()"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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ZoVgssry8zN69e+no6JDJRCU2nZgcYaSz2Sx+v59SqcT8/DxDQ0O8/PLL3HrrrbhcLkql\nEu3t7SwuLsrssRJXWpGwy+fzlEolisUizc3NNDU1EQ6H+Zd/+Rf8fr/07uvq6jh9+jRarZZ3vOMd\nctNuFIJWWC6Xqa2txW6343A4cDqd0nAODg7i9Xpxu934/X4ikQiBQIBUKoXdblcskSoe5sXFRcrl\nMvfccw/5fJ6RkRHq6uqoqKiguroatVrNzp07SSQSJJNJAMVuFqVSSXpbdrudUCjEkSNHuPXWW2lq\nauKxxx6T+1XEhL1eL4VCgR07dpBOp0kmkxs2TCKZLJyCbDZLZ2cnZrOZ6upqmUi02WzMz88TCATQ\n6XTY7XaqqqokC0UJaLVabDYbbW1t8lqvVquxWCwcO3YMtVrNtm3byGazJBIJebUXRiybzW54DMIp\nyWQyZDIZ2traiEajLC0t0dXVxaVLlwgGg4RCIS5cuEBdXR0XLlygoaGBQqFAOp1WZByCvZNKpRgf\nH2d+fh6dTsd1112Hw+Hgpz/9KXNzc4TDYerr63E6nXi9XnmTuFLbcU2MdLFYZG1tjUAgwA9/+EM+\n/vGPMzo6yvDwsEwAnThxgkgkQkdHB1VVVeRyORniyGazl3FyNwKRCBGUKp/PJz2RtrY27r33XrRa\nLePj4ywtLfHjH/8YjUZDU1MTBoNBGoaNQNwsMpkMKysrTE9P89hjj8mY6Mc+9jFaWlr40z/9U+6/\n/34eeOABamtricViaLVaSenZaBxWxPpEQjUQCPDEE0/gdDoxGo3U19fj8Xh47bXXyOVyHD58mKam\nJrZs2cLKygrlchmj0bhhoyS8C7VaTSgU4uabbyabzfLd734Xn8+H1Wqlt7eXu+++m4mJCVKpFPA6\n60Qk2JRAsViUzBW9Xk8mk5GMkq9//evs3r2b6upqjh8/zo4dO9DpdFy6dAmbzYbf72dtbY35+XlF\nDIKgh6ZSKcLhMPfee69klxw5coTdu3fj8/k4efIko6OjvP/970ev16PVamUiWInnRRzCxWIRp9NJ\nsVhkcnKS/fv3s7CwwOrqqjSguVyOm266iUQiQX9/P263W5FcgUajkbmCXbt2UVNTw9/+7d9y5513\ncujQIb71rW/xwAMPcPbsWT72sY/xrne9i/vvv5+hoSE5H0rltEqlEolEQt4g6+rqMBqNDA0NUV9f\nz9atWzl37hwOhwOLxSJDZ1qtVt5+3iquiZEWhmBtbQ273U53dzdnzpwhkUjIa9H09DQ//vGPuffe\ne7n55ps5deoUZrOZXC4nQwxKJSFKpRJms5lwOEyxWMRqtRIOhxkaGmJ8fJxwOMy73/1uenp6OHr0\nKN3d3TidTnnFV8I4CkOt0WjI5XIcP35cJuAaGxtZXFzkgQce4O6778btdnPo0CFWV1cvI+hvFGJO\nS6US09PTBAIBSWlyOp0cOnQIq9XKCy+8wNzcnGTArKysSCqlUldaMR6LxUI6nebUqVOUSiWampqY\nmprCZrORy+U4f/48i4uLPPLII1y8eJEzZ85Ixo4SlERxiBuNRioqKrj55puZnZ0lm82SSqXo7+9n\n+/btuFwuLl68yNLSEul0WnpZSqzL+ttJJpOR1/xIJMLExIS89ZjNZnp7eymVSni9XnK53GUFFBt9\nXkRYLp1OMz8/T09PD/v37yedTjM4OEg4HCadTtPX1wdAR0cHd911FydOnCCZTMownhKHuMhZaLVa\nQqEQkUiEyclJeUjodDoymYyMx7/zne/k/PnzTE9Py5uhEhDv09zcTEdHBxUVFVRVVaHRaLDZbOTz\neS5dusTS0hI1NTU88MADpNNp9Ho9Go3mitbkmrE71Go18Xicd7zjHXR0dFBTU4NWq+Xo0aP8wz/8\nA7//+79PQ0MDsViMVCqFyWTi2LFjMmmhVGwLXt/4fr+fwcFBzpw5g9/vR6PRcOrUKdLpNI899hjv\nfe97+cUvfkFNTQ2VlZWkUinW1takd7MRiO+STqdpbW2loaGBgwcPEolEOH78OH19fdx8883cd999\nzMzM8Pzzz8uEkdVqlZnzjSZCBMvFYrFw9uxZotEo9913HwsLC8zOzvK9732PcrnMnj170Gq1BAIB\nwuEwTqeTW2+9VXJFNzoOYQxEdeXIyAgqlYrbb7+drq4u2tra8Hq9/PKXvyQej7N9+3aGhobo7++X\nXqtShRPlcpmVlRUmJiYYGRnhmWeeobKykoMHD+LxeBgbG+PnP/85yWSS//2//zfNzc187Wtf4+LF\niwCKhRkAmaDs6urijjvu4Oc//zknT55k3759zMzMMDQ0xAc+8AE+8YlP8Ktf/Yr5+XlJ11MCarWa\nQqHA2toa3/jGN+jp6WH37t3EYjGmp6d54IEHKJfL/PEf/zH79++ntbWVV199lYmJCd75znfi9XoJ\nhUKK7A94PRE6MDCAwWDgoYcewmw2Uy6X6ejo4MSJE7S3t/PCCy/w8MMP89nPfpbOzk5effVVWYmo\nhA0R73HvvfdSLpd58cUXJUvr5MmTADz00EMMDg6STqfZunUrx44dw+FwYDabJX/8reCaGWnhPba2\ntrK6uorX66Wjo4O1tTUeeeQRPvzhDxOPxzl79ixHjhyhublZepqCt6vE5isWi6TTaWw2m6was1qt\nnDhxgu9///uymOXIkSOcPXuW66+/nkQiIRNTSoxhfcm1iKfOzc2xuLhIsVjknnvu4YYbbmBsbAyD\nwcDhw4f5yle+Iil5SkKv1+N2u1ldXSWXyzE2Nsb8/Dwmk0l6+9dddx1Go5GZmRnq6+txuVx4vV6W\nl5eJx+MbHoM4PEVxkdVqpaWlBbvdLnnYAwMDLC0tcd111+Hz+XjqqaeYmJigtbVV0YKaYrFIJBLB\n7XZTU1NDS0sLANlslunpacLhsEyyLi4uyoTQ1NSU5LErER+H1/daOp0mk8nQ0dFBOp0mn8/T0NCA\nXq/nyJEjRKNRenp6WFtbY2FhQVbyKllQo9FoiMViPPHEEwwPD7N161bcbjfj4+MsLCzg8XjYvXs3\nVquV3/zmNywuLvLwww8rViW8PiS3tLQEQGdnp6zqe+655xgcHORb3/oWnZ2djI+Ps7q6SlNTE9XV\n1ZJRocQBKsbh8Xjo7+/nO9/5Dvv378dutzM1NYXP5yOfz9PV1YXH46FYLOLxeCQp4EpwTdkdAHV1\ndbLkt6enh0OHDnHXXXdhNBoZGRlhYGCAp59+mk9/+tM4nU7S6TQmk0mR0k5RZitoUhUVFdx///3U\n1NTIa9vS0hLbtm3DarVSX1/P5OSkZDcoWfYrEofz8/Pk83kGBwexWCxs27aND33oQ5Lz2t7eTnNz\nM8FgEKPRKF+rhFcgwgu1tbUUi0XMZjNra2vYbDZcLhezs7MyQVVVVcXq6ip2u53q6urLYvtKQFzx\nM5kMOp2OVCrF/Pw8uVyOS5cusba2Rm9vr6QzRSIRbDabrHhTAuI7JZNJtFotbW1taDQaxsbGJA92\nenpaetVTU1OUy2Xq6+ulR69UlZ94oJPJJMPDwzz99NOy2GdsbIy2tjbm5+cJhUIsLy/LRFZDQwNm\ns1lRAyn40cPDw1ImYGxsjIWFBcxmM+9+97tpamripZdeYmhoSCbBA4GAYnkktVqNwWBAp9PJqlSR\nnxFJbZvNRk1NjUzA19XVyeIXJWLS6/VThFYIIKUb3G43ZrOZ06dP09zcjMViYWxsDK1Wi9VqveJ8\n1jUx0kJ3AMDpdNLQ0MAPf/hDUqkUu3fv5vHHH+fIkSP8wR/8ATU1NXzqU5+iubmZiooKmZ1NJpOK\nLLhgaORyOQwGA1/+8pfZt2+f5Lba7XYAWUzz7W9/m8OHD5PJZIjFYoqcxiJ7b7FYePbZZ2lububz\nn/88TU1NpNNpjhw5wurqKouLi5w7d45oNIrf75cFNyL2qMQ4LBYLFouFpqYmXC4XNTU1DAwM0N/f\nj8fjwefzcfHiRUZGRmT4p62tDbfbDaCYgRTaBiKm19XVxe233y6LJvx+P0tLS3zrW9/C7Xbz/e9/\nn76+Psk2UAp6vZ7a2lquv/56UqkUf/d3f8ddd93FX/3VX/HNb34Tr9eLzWajoqKC1dVV7rrrLplA\nzOVyZDKZDe/TcrlMJpORhU5zc3P86le/4iMf+Qj79++nr6+PbDbLHXfcQXd3N4ODgwwODmIymcjl\nctJzVMJIazQaPB4PdXV1vOtd72Lnzp088cQTfOlLX8Lv9zM9PU1lZSXHjh1jYmKCL33pS+zcuVOG\nwpRKXur1epxOJ+973/tYXV3lhRdewOVysW/fPu644w4WFhbo6+uTtmJ5eVkmdSsqKrDZbBveq8LZ\nTCaTXLhwgdbWVr73ve/JGo/BwUF5K33llVc4ceKE5JeLsM/bVrtDUM50Oh2Dg4PkcjlisRjDw8NS\nkGXPnj3cd999FAoF+vv7GRsbw+l0otfrFTFI8NuriuAa19bW8uyzzxKLxWhoaJBVY6lUilAoRD6f\np729naqqKlZWVqTQzkYhjIrZbMblcuFwOOjq6pJx4K985Ss0NTVx++23E4vFiEajVFVVAch4uFIJ\nu2QySTAYZHFxkYmJCSorK7l06ZJMzmUyGQKBALlcDofDQTgclqIxGy0uWg9hoIvFomSaXLhwQYZT\nstksKysr9PT00NPTw7lz5xgdHZUCS0pAMAg8Hg+NjY0AtLe34/f7KRQKUiogGAzicrmora3l1Vdf\nlV6eksjlcqTTaSlVMD8/z/PPP8/09LT01oXEwtzcnDxk1wtObRRCO0Wv1zM7O8vY2BiLi4vyVhOL\nxXjqqadob2+npaWFLVu2sGfPHlkmH41GFXl2BU01l8vR3NyMzWYjHo9L6mw8Hpc6KyaTia6uLp5+\n+mmWlpawWCwb/nwBkZAV1NRkMsmuXbvI5XIsLi5y9uxZrrvuOrxeL5lMBrvdTmVlpVRxhCtzaq6Z\nkbbb7bS3t5NOp5mZmcFgMGC32/H5fNxwww2EQiFeeeUVzpw5w+TkJHv37pWGXakwg9i4brebUChE\nKpXiwIEDbN26FYPBwKVLl7jlllvI5XIsLy9jNptxOp1SQlUpYyASdjabjf3796PX62WlViaT4fDh\nw9IrWl5elp+byWQUKeoRKBaLrKyssLKywtjYGMPDw9TV1aHX63E4HJIW+Z73vIdyuYxer2dkZASX\nyyWTfEqtizA85XKZ9vZ2XC6XTKx+4hOf4MUXX2RkZIT5+XkuXrzI3NwctbW1MpuvBNZ/l0cffZRE\nIoHH42FwcJCjR4/yX/7Lf8HlcvHUU0/R09PDzMwMTz/9NF6vl4aGBrlOG90noqy7XC4zMjKCwWCg\nqamJyclJDAYDDz/8MM899xyPP/44uVyOxsZG7r77bqlamMvlFGPcCC/25ptvJpVK8d73vpdkMslD\nDz3EnXfeidFopLu7m+HhYaampuSNWRhWwTbZCIQHG41GZairqqqKLVu2YLfbWVtbo7KykkcffRS/\n38+tt96K3+/H5XJht9sVFUYzGo3U1NSQy+WYmJjAYDDQ3NxMfX098XicgYEBqWXS2toqhcI2sieu\nmZEWFXZutxu73c59990nNTEmJiYIh8Po9XqampqwWCwy9iRi0UqrrYn3X1xcJJVKoVKp2Lp1Ky0t\nLfzyl7+UyU2hF6xUBZeAWDiNRkM+n+cnP/mJjP8ODg6ytrbGbbfdhtlsxmw2S11rJZXNhDdeLpfx\neDy0tbVhsVhwOp1SX9vlchGPx2VW+o0iQkqti9AVFwU2g4ODxGIxJicnWV5e5uzZs7jdbqnrXFlZ\nid1uV1wvQ+xVEXutrq6mvr4egO9973tEIhHuvvtu6urqKBaL1NfXK+q9ijGIknChsif0Q7q6uohG\no5w/f16qFQr+vihyUXJNisUi+XyeeDxOS0sL3/zmN+nv76ehoYF4PE6xWOSXv/yl1DtfL8oknJGN\nQiR01Wo1uVxOSsOm02kqKyv5+Mc/zvz8vFTlS6fTUs5VJOaVokaK9xQUSBGWNZvN1NfXs7KyIov0\nRIhWJHLFs/ZWcc3ZHUJk5OzZs7Lyb2VlBYfDQUtLC16vV9LLlPLU1kM8TFqtFp/PR0dHB16vl2w2\ny9raGouLi+Tzecxm81WRJl2PcrksPdLKykpsNhtut1vGZ3t6eq5Y3vA/+/li8wpBe3Ew+Xw+XC4X\ny8vLkmGQYjhjAAAgAElEQVQgBG2U5K2vh0hSFYtFYrGYDC+tZ1sIIw2vJ+mU1hkXB2dtbS2VlZVc\nd9112O12isUi8/PzGI1GWWwlDi3xOqUhVN+Ejks6nSYcDjM7O0s4HMbv96PVaonFYtJgKunQwG9F\nwC5duiQpmELYanZ2Vu4hk8kkdaSVqogVWD+3oghN2ArBNAqHw+zatYv6+nr5zOr1esXXZT19tlwu\nEwgEWFhYIBKJUCqVcDgc0nkQdQ/CQF8prqnovzCQ67OtKpUKn8+HRqNhfn4eQMb4lCyUWA8Rm1ap\nVMRiMWKxmHw40+m0vLpeKfn8P4tSqSQX0mazAbC6uippQyIbfDUPCvitsJDRaCSbzTIzM8PMzIz8\n7uuLI4ROx9WaFxHD7OjokD8TGi/hcBhAFq4oRct8I9RqtSyACAQC8ufNzc2USiVmZmaYm5sjn8/L\nsMTVgHAmbDYb3d3d0qOMRqNUV1ej1WqJx+Mybn+1xiEOSkE31Ol0RKNR6Vys19EWB+vV2LMiDCSc\np2QyydjYGIFAgEKhwG233SZtjKhSvhrKhAL5fJ6ZmRn5Gddddx3w24YAwtF84+veKlRX0whtYhOb\n2MQmNobNRrSb2MQmNvE2xqaR3sQmNrGJtzGuekz6Zz/72e90HRZxLRFznpmZIZfL0draKgVdCoWC\n/DcirlMul7nvvvuuKMj01a9+9XfiOuvjRSIuWygUWFhYkEUJPp9PdjZfj8985jMb7ha+Xjp1/dzo\n9XrZnFfIHLrdbhlrW/+aK+0W/s///M9vGucS7yuafYq4q8lkkiwGQa1an8z8wz/8ww13YRZsAMHP\nFcweUdghCo1EUcAbO7jDW+vCvB6PPPLIZeuynlUkYowiQSZiw2Is5XL5d/ivX/va165oHP/rf/2v\nN10XIaOq0Wjw+/1SFGx9z8s3i3v+2Z/9maLjEJ8h9odgndhststU3gTLY6Pj+OIXv3jZurwxziwU\n+MTniUIe8UyL8YrX/Pmf//mGu6evh9iD6xPpogRdMF6E7vr69Xkr3dOveSNa8WehChWLxRgcHMTp\ndEou5vqgv9IUPAHxniIRIQpLkskkly5dkloMVVVVmEwmmahSkmUhFlawGkSi0uVySX5uoVDA4XBg\ntVovM45XI2EGv81EiwRiMpmkvr5eNgYWjJzV1dUrphT9RxAbXqPRXCYFsLa2Jg0RvF7QI4T+Be1L\nyXGs14oQpe+C8WM0GqXaWaFQIBwOX2Ygr8a6lMtlIpEIsVgMg8FAT08PDoeDpaUlqaut1+vR6XSK\nVYC+GUTrKGEYFxYWWFtbo7GxUfKRRbJbiZ6C6/FmBlrMuVAoFGJh4nfr/73SSeb1pepGoxGz2SwF\nqSKRiKStru8adKWUxGtKwQNkVZleryeVSnHu3Dlefvll3vve97Jr1y5eeuklFhYWqKyslBlSpTPF\n62vw1+uKCIN94MAB7HY7S0tLVFdX4/P5pJiQEnS49QZFUMjEfITDYZqamnC73USjURoaGvD7/VIM\n32w2S4OlJPNFGH/hAcRiMebm5qRnIoyT0WhEr9fLii+lDLV4gLRaLUajkerqavR6Pel0mqGhIVZW\nVrh06RLFYhG73c7v/d7vYTAYWF5eVqwiVYxDGGh43dgsLy8TiUQkq2Hfvn3s2LGDRCLB8PAwgCw7\nVqoxhIDQeBFto2w2GyaTSRaE+Xw+DAaD5JCn0+nLvDulIGRC13cvTyaT2O12PvjBDxKPxxkeHqZQ\nKEhNDaW6B62/acJvK5iFJnsmk5GssXA4jEqloqamRhZ+icIapQ5ywboR7ewsFgsGg4FgMIjFYiGX\ny7G6uiqrQVUqFfX19dJgv9X2atfUSOdyOUZGRkgmk9x9991SRUxUMT3yyCMYjUZ6enro7Ozk1KlT\nJJNJPB6P5GBuFCKsIRbP6XRiMBhobGykWCzyyiuvUCwWaW1t5d3vfjfPP/88pVKJrq4uJicnCQaD\nCszGb8WehAhNNBrlueeew2az8b73vY/+/n6efPJJ9u7dSyQS4fTp02SzWdrb27FarXLBNwpxoxCi\n7QaDQXLG77zzTioqKvB6vej1eqLRKGfPnpXXfuG1KXG7EJrAVVVVmM1mUqkUyWSSdDrNwYMHsVqt\nfPvb38bhcODxeOQVd2FhAb1eLw+PjUAYgkKhIJuYFgoFFhcXaW1t5X3vex8//elP+fjHP862bdt4\n/vnnWVpaYnh4mL6+PlpbW6XW80YhiiZE78Tp6WkaGxtpa2vj+PHjANx6661MTU1x8eJFKioqWFpa\nku2+NtrSbD00Gg0WiwWz2czY2BjZbJbm5maWlpZYWFjgpZdeYnFxkVKpRGVlpbwlK9WZBX4rKpbJ\nZDCbzRQKBWZnZ4nFYrS1tdHW1obL5WJmZoZ0Ok1bW5s8xAXnXqnDXDRkSCQSzM3N4XA4JIe9paUF\ntVpNd3c3q6urfOc73yGRSHD48GHZreWt4qob6fXXDYCVlRVZ06/T6aisrCQYDDI8PCxFtAH6+vo4\nf/48XV1dMsakBISwkTiJzWYzMzMzkrMseKjPPPMMer2e4eFhRkdHpXSqEiWu6yEKFkQJdFdXlwy1\nfPnLX2ZsbAyNRsOhQ4cYGBjgwoULNDc3U1dXp4gugai+VKvVZLNZ0uk0oVCIRCKBXq9ndXWVgYEB\n3G43TU1NeDwewuEwmUxG0RuO6IYiDoOVlRWMRiNzc3O8+uqrFAoFjh07xm233UYikeD8+fNs2bKF\nRCIhK1SVgNgHpVKJ+vp6qquruXTpEn6/n5mZGeLxOOfPn+fixYsMDw9TKpWoqKiQHqZS3uv6GGsy\nmSSRSGAwGBgZGaG+vp7KykosFgt+vx94XetDaG2LrjJKdBESYzGZTHg8Hi5dugS8Xijy8ssvo1ar\nZRioVCrR0NBAqVRiamqKRCKBRqNRzJkQ8ytuk5WVlezevZs9e/awvLzMqVOnmJiYQKPRUF1dDSA9\nW+H9bxTiIM9ms4TDYVlFXSqV2L59OzU1NbIFnRBYUqvVNDY2Stv2VsdxTTxp0a/NaDTS2NjIwMAA\n27dvx2Kx4PP5aGxsZGVlhUAgwNLSEm63myeeeILGxkZuvPFGotEo8Xh8w5MsvJNyuUxfXx8NDQ1M\nTk7y0ksvcfvtt/OlL32JW265hZaWFmw2G9u3byefz8uKJiU6DotFFmW/ohWVVqvlhhtuIJlM8qMf\n/Qi3201VVRWnT5+mWCzy1FNPkUgk+MQnPoHT6ZRVcBsdi4jHC03rQqFAVVWVDDtYLBYGBwdZXFyU\n+glWq5VIJCLbA200DipCKlqtlmAwSLFYpLe3l5mZGYaHh+XvGhsbqa6uJpVK0d7ezkMPPcSjjz4K\nvC5WpUQYSnTYOHToEL29vczOzuL1ekkmkxw7doy77rqL7373uyQSCT74wQ/y9a9/nX379nHgwAHZ\nWHij1+pCoUA8HicajTI7O0s6nZbFPalUisrKSs6ePcvg4CAAvb29ZLNZdDodDofjsvj9Rucjl8vJ\neK/BYMBms6FWq5mZmeH222/n937v9xgfH2dycpJTp07x8Y9/nNraWk6cOIHFYqGmpmbD+ipCFlTI\n2MZiMUwmE52dnZRKJb7//e9z9uxZvvrVrzIyMiJvpKKTkZiPjR6gQrpA6Hds27aNiYkJqe0jdGW2\nbdvG4OAgly5d4kMf+pA8UETn9bedkV6vlSE0FyYnJ7Hb7Zw/f56jR4+yb98+VlZWmJqawmQyYbfb\naWlpobGxUTaMVSp5WCgUSCQSFAoFamtrOXv2LD09PVJeUTQA8Pl8vPrqq0QiEWpra2W87c0y+W8V\nwkMS1/TR0VF27dqFy+VCpVIRCoU4e/Ysfr9fdqs5cuQIVVVVeL1exZJDYk6LxSLhcJhwOIzL5SIY\nDMrEYENDAwA1NTV4PB4mJydlkkRJwSmRjAqHwxgMBp577jmSySSVlZW0tLTI+HRHRwcqlYodO3bI\npgAmk0mRyj8xH2q1mmg0yosvvkgymSSbzTI0NEQmk6GhoQGr1cqOHTs4ePAgTz75JC6Xi1gspljb\nKvF6rVYrNYqF9yhulvX19Zw/f57HHnuMVCol22cNDw9L5Tolbn3lcpl0Os3s7Kw80BcXFwkGg3zw\ngx+kWCzyzDPPYDQa2bJlC1VVVRiNRtnjTymVQpEX0Wq1Urnx2WefZXV1lXe+853s3buXm266iXPn\nzjE/P4/BYJBdgwS7QgmIeHRdXR0ul4uJiQm8Xi/5fJ4nn3ySrq4uEokEr7zyCt3d3WzdupW+vj4Z\nTrwSqeNrxpNenyATIkL//u//zunTp4lGo1J+MBAIcP78eRoaGvD5fFKKUImTcH2yQcg6nj59Wl6r\n7733Xt7//vdTV1dHS0sLg4OD6PV6YrEYoVBIMWaHyMJrtVp5hXO73WSzWbq7u7FYLHg8Hvbu3cvO\nnTt5xzveweOPP87Ro0el8L8S8yEMSi6XIxqNyhsPQGVlJX6/n+rqauLxOG63G5/PJzWm30iP3AgE\nayWZTLK6ukosFuPo0aOk02m2b98ue11WVFRQU1Mj2TZnzpxhaWnpMinIjUAcWKVSiaGhIZ544gkG\nBwc5d+6c3AvLy8ssLi6STCaZnJxkz549+Hw+stmsYuJGIuZpt9vp6uqiu7ubWCyG2+2moqKCcDjM\nli1b8Hq97N27l97eXsrlMhUVFYRCIWKxmKLt5gqFAqlUinL59cbDoo3cvn37sFgs9PT08NGPfpSP\nfvSjaDQaUqkUPp9PStpuFMKpMZvNVFRUUFlZKQ9RtVrNHXfcwfbt2+nr6+Po0aNSsyMajUo6r1JJ\nQ7FXE4kEwWCQXC5HTU2N3LdbtmwhHo9TW1vLfffdJxtNx2IxqcPzVnFNwh3iAVpbW5NqUUePHuXA\ngQMcPnyY06dP43A4ZIeQwcFBPvKRj5BIJHj11VelloVSnlKxWKSzs5NAIMCtt97Krbfeyr//+79z\n//33U1VVxf/8n/+TYDDICy+8wIEDB/jBD34g9WGV8GJFEiSbzTI2Nobf72d2dpbz58/jdDqJRCJs\n3bqV//N//g933303Bw4c4Pvf/z65XI7q6mopYqPExhNXSa/Xy/bt2xkdHaWzsxOVSsXc3Byrq6v8\n4he/kHHJtra2y+heSumbiISd1+ulra0Np9NJa2urbHa6ZcsW3vOe99DX18eZM2dkLkGEZ5SIjwtW\nhOCFq1QqTp48SSqV4sYbb5TJn3vvvRe/34/ZbKa2tpbx8XGCwSBer1eR9lkiziu8x9nZWXw+H3v2\n7KG/v5/nn3+ehYUFvF4vn/zkJ1leXmZwcJCmpiZWVlZIJpN4vV7F5sNms9HY2Ci1S4aHh5mdneVv\n/uZvGBgY4MEHH2TPnj1MTEzw7W9/m+3bt9PR0UEoFFJEf0fQMoVmtE6nk92T2tra+PCHP4xarebh\nhx+mu7ubtrY2XnjhBdLpNG63m0wmo8g+FU4ewLPPPsvk5KTs/qLRaPjc5z7H8vIyIyMj9Pb2Mjc3\nx89+9jO8Xi9ra2syzPlWcc3YHcVikWw2i8FgoKqqipdffhm/3y8z4QsLCxw8eFAKLYk4tHhg1lPl\nrhTraV6ic8RDDz2E1Wrl3/7t33jiiSfwer188YtfZGFhQSbR4vE4JpNJyh5u1KMWry+VSoRCIUmj\nqq2tRaVS0dHRIb2G/fv309/fT2NjI1qtlmw2K8MiSugWCw6w6Oycz+dZXV3lyJEj5PN53vWud3HL\nLbdQVVVFIBCQTBtBo1QKglbl8XikWLrH45HJserqao4dO8bCwoLs0pJKpXC5XJKtoxTMZjMdHR0s\nLS1x8eJFWlpaaGlp4dSpU9TX11NXV4fX6+WVV15hdnaW5eVleSMqFouKHORibQYHB4lEIvj9fsbG\nxpienqa5uRm9Xs+xY8c4duwYpVKJ9vZ2mfcB5brJi0PL5/NJWmh1dTWxWIxjx46RTCaZnp6WvTK9\nXi8ej0c2TM5ms4o1gC2XywSDQVKpFC0tLVLxbv/+/Wzbtk1SVV966SWy2Sz19fXSOCs1H+L5F+qQ\nglpntVql5HJvby/pdFp2hll/07oS5s8163FYLBZJJBJEIhHa29vxer18/etfx+fz8dnPfpZ4PE5f\nXx+rq6s0NjZy7NgxZmdn+cxnPgMgO0IoMRZRsKLT6fj1r3/NwMAANpuNgwcPynCLRqPhzjvvZHh4\nmB07dkgDqcRir4/1hUIhLly4gE6nw2KxMDw8LLvS3HjjjTzzzDP09fXx+7//+5w8eZKqqiocDgeZ\nTEaxK20ymSSZTHL27FmKxSJbtmzBYDDwyU9+klQqRXNzM11dXbz00ktotVpWV1elMp0Sh8V6D7ZU\nKjE5OcmPfvQjOjo62Lp1K5lMhtbWVvbu3cu73/1uHA4HH/vYx9Dr9dKjAhRJlgnG0eTkJP/6r/8q\ni3hOnz5NdXU1ExMTsiflT37yE+6//37C4TANDQ24XC7FrtWCZXLhwgWZizh37hyxWIzl5WVuueUW\nfvSjH/E//sf/YGpqioMHDzI0NITVasVisSiWLxBhBq1Wy/Lysgxz9PT08Nprr7FlyxZCoRAvvvgi\nhw8fxu/3k8lk8Hq9WCwWRSh44nmZn5+Xz0ZjYyNTU1PMzs4Sj8eZnZ0lFAoRCARkr1D4bQEOsOGx\nCEdRHBhtbW184QtfYH5+nm984xsMDQ1x0003MTU1RT6fZ8uWLZjNZiorKxkcHJTFNm/Vm75mov/w\nugcpsqHV1dXs2rWLRCLB8ePH6e7uZsuWLUxMTLB161aeeeYZ1Go19fX1kuqiFFKpFIuLi5hMJoaH\nhzEYDNx+++0UCgV6e3s5fvw42WyW7du3s7y8THd3N8FgkHg8jtVqVSQWLK5O1dXV0lssFAqMjo5y\n8eJFdu/ezT/+4z/S1tbG7t27yWazZLNZ2QQ2n88r5qEkEgnq6+ux2WxEo1EZYshmszIOLrzsyspK\n1tbWroq+tSin9fl8HD58GLfbjc1mk0nF2tpaDAYDsVhMshzsdruULlXipiUOjHPnzhEMBjlw4IBs\nLfb+97+fvr4+2fqtvr4es9nM0tISPT09GI1GxQ5PERKz2+0YjUYMBgOtra2USiV+8YtfEAwGmZ+f\nl91qxsbGOHfuHLW1tYo2hhDVsBcuXJBr43K5JI99fHycqakpgsEgbrebxcVFrFarzLEoGQteXV2l\nUCjg8/mor6+nXC5js9no7++X/OPOzk527dpFIBBgeXmZ+vp6ya9WAmKPCI313/zmNywtLTE5OYnN\nZmNoaIi6ujp27dqFw+EgHo9LNpaQO3iruGaJQ8HwKJVK/OpXv5I818bGRnQ6nWx2qVarGRkZAaC+\nvp5UKsXa2ppi7dgFJcfj8eBwOEgkEtTV1aHVahkbG2P79u2S4zk/Py+bFExNTSnWiHZ9xWNnZyft\n7e309vZy/fXXY7PZeOc738mBAweYmJgAXo/pP/fcc+TzeTwej2KC+2IuRGJw27ZteL1eybT5zW9+\nw+joKK2trTLxYbFYJANCqY4X6w8tUSwkinZ0Oh1LS0scPXqU8+fPy5Lw1tZWmpqaZOm2EhDzmkgk\nmJmZobu7m4MHD2I2m9m1axfNzc3yqtvf309LSwvT09NMTU3J7hxKQa1WY7fbsVgsBINBxsbGCIfD\nrK6uUldXx9zcHP/3//5fQqEQTqeTsbExZmZmZEJXqTGIkubXXnuN48eP09/fz8DAgOwruLCwIHMD\nKysrMpkmDk0lQnKCI51IJHC73bI5r8FgoKamRjabjUQiAFRVVclyecEIUbLaUKVSEQ6HmZyc5Lvf\n/S7f/OY3OXPmDAMDA/z6179mz549dHR0oFar8Xq9VFdXU1FRgdvtvqIQ4TXrFi4I5X/yJ3/CLbfc\nwre+9S1KpRLNzc1UVlby2GOP0dHRwejoKAD79u1jfHxcXjntdrsilCIRJ3vkkUcwGAz80z/9E5WV\nlQQCAaLRKCdPnqSjo4NbbrlFeiaxWIxsNovZbFbEKIn5CIfD3HDDDdTU1NDZ2UksFpMVho8//jh/\n9Ed/RKlU4gc/+AFbtmxh165dsqJKKQhGQjweJxKJyK4k0WhUxsIXFxdlE1S3200ikZDtiZSASKhY\nLBZOnjzJ2NgYxWIRt9vNddddh9FoxG63Mzk5SSgUkr0vheC6SLIpgXw+z9LSEjqdjoqKCr7+9a+z\ntLREb28vP/nJT8hkMhw/fpyqqiq2bdvGa6+9xoMPPkhXV5csPNqoJy3aMzU0NDA9Pc3k5CSf/OQn\nuXDhAoODg9x33308/fTT9PT0UFVVRalU4mc/+5nsFpLL5RTxpgUby2Kx0NLSgsFgIBwOEwwGJWfd\nZDIxOzuLVqslEonQ0tJCdXU1oVBIxmE3OgZBexXUXFFyXlNTw8WLF3n22WeJRqPkcjmMRiORSER6\n/IJfrWRcvFx+vfmFz+cjlUpRXV3NPffcw49//GN6enp4+eWXee2113A6nezfv59kMonT6bziCsxr\nFpNOp9PMz88zODjI/v37GR8f59SpU8zPz7Nr1y4qKirYtWsXCwsLZLNZQqEQc3NzNDQ04HA4FO2X\nJniwzc3NVFVVUV1dTTabZXBwkNdee42amhoWFhaYnZ1l7969ZLNZIpGIotxgQTkLBAJUVVVx5swZ\n+vr6GB4eprOzk66uLu6//35+/vOfU1lZSW9vL2q1mqWlJVnavlGI93G73bLLxfj4OBUVFVRXV0uO\n9NDQEJOTk6RSKZaXl6VSn/AqlMiaazQarFYru3fvBl7XURFe8z333EMul2Nubo6LFy+ytLTE6Ogo\nDocDv9+v2Jqsp5wJdsS2bdt4z3veQ319Pf39/VLP5frrryebzcru5SLRrIRXXy6XZdFEa2srMzMz\nUhZBp9Px7LPP8sorr6DRaBgcHMTr9cpWXqKSVwmIG18+n6e9vV3uk+npaQwGg2xBl8vlcLlc1NXV\n4fF4gNdDiuvVAzcCUUTicrmkXoaIf+v1ejo7O2lpaSGfz6PT6WTfUtEHUdxalYD4LlVVVVitVhYW\nFvB4PHi9Xpqbm9m2bRuvvvoqy8vLNDc3Mz8/L28kV6q3c81i0kJb4b/+1/+KxWLhBz/4AXv37qVY\nLDIyMkIgEJBt2EUvvZ07d+J0OtHr9Yp5BiKQ/6tf/Qqz2YzNZuPChQtks1kOHTrEysoK586do1wu\nc91112EymUgkEjgcDkXbAul0OpxOJ8eOHWN5eZk/+IM/IJvNEo1G2bNnD9XV1Tz//PMkEgluvvlm\nqadRLBYxGo2KZaxNJhM2m42uri4aGxvx+XycPHmSeDxOfX09a2tr6PV6qqqq5AGqFBVRQIRNCoUC\nPT091NbWolar+d73vkdfXx8ajYaamhp27NiBTqcjm83S0dEhldeEMdno2oj5FBSvtbU1RkZGmJ2d\npa6ujqamJpxOJzfccAOjo6OcO3eO3t5emdBTKgYrejwGAgH2799PS0sL3/nOd7Db7ezYsYMLFy5w\n5513SlElvV6P3++XAlxK7VERyxWeaDAYxGazMTMzw3e/+11uvvlmbrvtNmpra6mtrcVisUiPVjyv\nSiXaRUuzQqHA+Pg4v/71r/H5fFgsFhobGzEYDAwNDZHNZkkkElJieL24khKHxfqkocvloqamhmQy\nyeDgIA8++CA333wz3/zmN+XNW1SFCq2bK3lurpmRFhSzD3zgA1LeUdCGAoEAnZ2d7N69m0AgwNra\nmiyvVSruKaBWqzEajTidTrRaLX6/n3Q6zfLyMn6/n9bWVqnFkE6nCQQC8oqiZKxPr9fjcDjo7u7G\nYDBw6tQpAoEAMzMzHDlyhJ07d0o1vNXVVcLhsIwPKi1HWS6XCYVCGI1G2tvbpccuCol8Pp+sBBUe\nlHidUrFxIQkaDAZZWVmhXC6zbds27rnnHmpqaohEItIrMhqNuN3uy2iRSkAUXBUKBVkCPT8/z9zc\nHD09Pdx0003E43HGx8fljSaRSFym96EERJx9bW2NQCCA3W6XYbChoSEikQgHDx4kk8nIij4lZAL+\nI6wPR23fvh273S4VEaPRKHNzcySTSck8ulr9DcVB7HK52Lp1K16vF6fTyfT0NNlsFp/PJ38vaKJK\n90gViWXhpVdUVMhCvHQ6zdjYGMvLy/KWabVa5SFzpfNyTdkdJpOJ3bt3UyqVMBgMTE1NUSgUZPzN\n7XbL8lqhJSygpBymKBJQq9VSWF/oA2s0GtbW1qQCWy6XkwutVMIOftts12KxSKOYSCSw2Ww0NzfT\n3t6OxWKRam9i3EpDGMjV1VWp0SBa0YsYZ6lUkmJOSvJO3zgOQOosRCIR7Ha7NFTBYJCamhopxSkM\n9NUYh/jOWq2Wzs5OWZ5//Phxpqen8fl82Gw22Tx4/R5RqsBIIBQKEY1GcTqdWCwWKX959uxZSqWS\nZBxdLQMNv036GwwGVCoVHo+H66+/HoPBQC6Xw+FwyDJ0pZ0q8fliTXK5nGR1iGdVCDmJ+gGDwSAN\n9PpnVwmsX+d4PE4wGJTMkWg0ysjIiCyeEVojG43LX7OYNCCrl1QqlfQOAcm9DYfD8tRRykt7M4hN\nB5BMJiUX9Pnnn5dGa/1nK8EFfuPni/+LDLjL5aK3txd4vV38iRMnJHF+vY7u1YCQKhW6vAKCb1so\nFCRhX4zlaq2NuGVUVVWhUqkIBoPk83ksFguJRAJ4vdhEPCxXw2sTtESVSiULjISh6OzsvGxvikTd\n1YDw0NPptKwREAeGuHoLRtTVhqCAnjhx4rKfl8tlurq6LqMvXg280UES44HX94O4dYt5EcZcaYjv\nJ1QKjUajLCAaHR2VBS/CSIt8y0aw2S18E5vYxCbexthsRLuJTWxiE29jbBrpTWxiE5t4G2PTSG9i\nE5vYxNsYVz1x+OlPf1oGvddXY4lgusgGC5U8QfdZn4AQQfpyucyjjz56Rdmzr371q3Ic65NjIkkp\nMsHFYlHq4K6nhr2xxPUzn/nMFY3jH//xHy9rUb+e0iPGIPouCg1feL04QIx3fRLloYceuqJxfOEL\nX5bHwsMAACAASURBVLhsHKI0ez2vVDBLhD6G+E80rV2Pz3/+81c0jn/+53++LCkivpuYdzE+Ucwg\nGA2Ci7s+KVMul/nDP/zDKxrHRz/60d9Jzqzfr6JJr91ul13lRUOKNxPY/5d/+ZcrGsdf/dVfvel8\nrGdOCP1s0RxW6KoAv1NP8Bd/8RdXNI4///M//519Kv68/meiQ7ZQARSf/8bKyy9+8YtXNI6//Mu/\n/J35gN8+ByJJJwT1xd58Y8cgMY9/+Zd/eUXj+MY3vvH/mrwTNiKdTksmjuC7AzKpKcb/yU9+8j89\njmsmVQpIGUfRyFRUUIkux5lMBpPJJPWKhUA/KMsmEEZpfdZeEPd1Oh319fWYTCbUajVzc3OSVaA0\nxMYXuhWCn9ve3o7ZbJbfPRaLMT4+flXZLus5wkJ8f2JiQgq419TUUF1djdfrleyGq8XAERxUUTwk\nKroaGxtZXV1lenpaNk0Qh5vS4xDvbzAYpOi9qHB0OBxMTk6yuLh4VShn6yEMkVC302q1LC0tkU6n\nZdm2MFCiXFrpTuHivYQDJboKCWcmEokQCoXIZDKSFimopVeDjif2qqDSJhIJ0un0Zc1BKioqfudg\nURLiPdfrlESjUfL5vOzeEw6HiUQiGAwGHA7HFc/FNTXSgqYjjLNAbW0tJpOJkZER1tbW5JfJZrOS\nc6hUM1phoIUHInjBsViM2dlZnE4nO3fupKurC5fLxZEjRwiFQiSTSQwGg2LaxeJwEF7j0tIS8Xgc\nl8vF/Pw8MzMz/w97bx7c5nXe+38AECAAYiMAEiC4gbtEiZsWa5cs27LlOLac2ElcK2luHdduem8m\naTJxk7b3ZtJ0nKaZJk17e6du0rhb3Pre2G0UW14ULRFNSZQoauMq7uACkCBBbARAACR/f6jnmHJz\n7/wsvtLkDz0zGo9tETw473mf8yzf5/tFp9PhdDqZn5+nr68Pk8kkCe6Vxirn5uZKVY2ZmRnGxsY4\nd+4cAA899BAOh0MKxer1ehKJhIQYKbkf4plPTk6ytLQk6UtF5HzmzBna29vZvXs31dXVN0X8SppW\nq5UDPHNzc4TDYdxuN1VVVZJwSAy5mM1m4vG4vDCUJHwSHNElJSUYDAb8fj+//OUvSSQSPPvss5jN\nZsbGxuSZEI5SZIJKmcCNG41GdDqdFIHIZDKcPHmSRCIhLxCj0ciWLVswmUzyXK3VxPlIpVJkMhnp\n+PR6vRxG6+7uxmq1UlRUJDmtxcyDeM+UtGw2y9zcnMwYBgcHSaVS3H///cANeuXFxUXMZvNNQh0f\ndsDmjjlpEe0kk0ni8TihUEhSGu7atYumpiYuXLgg1Una2tpYWVnh0KFDkidirSZudp1OR0lJCVar\nlWvXrnHlyhX8fr984QYGBgiFQlJxWafTEQgEZCagBNm9eKHFYTtz5gx6vZ79+/czMzMjGe8EK1xR\nURHBYJCuri5JHqMEf4dGo8FgMFBXV4dOp6Ozs5PGxkY2bNgguVZaWlpQqVT09PQQCoUkU6BwCErZ\naqZEMR4unofAoJpMJurr6zEYDExNTUkFZqUuLZHGiyDi7NmzknTfYrFw9uxZVCqVHI/Pzc1l06ZN\ndHZ2Mj8/r5ismdgLnU7H4uIix44dY3BwkHg8zsc//nE5XCSiR5FaCxY8EW2udR2CC2RxcZFQKITN\nZpOXtNPpZGZmhieeeIKqqirJuXPp0iV0Op0U61DCFhcXWVhYoLOzk8XFRbZs2UI4HGZpaYldu3YB\nMD4+zq5du9i1a5dUSp+bmyOTybC0tKTIWRWBXSQSIZVKSYY7o9HII488QnFxMdPT07S3t6PVavmN\n3/gN+vr6aG9vx+FwYDabfz35pFfTDQoWuj179uByuYjFYsRiMYaHhxkYGCAcDrNt2zYKCgoYGRmh\nuLgYuHEYlTAxLOFyucjPz+dnP/sZk5OTFBYWYrPZ8Pv9FBcX43a7OXbsGJcvX+bAgQOUlpbKlHKt\nJsjD0+k0eXl5kgvD6XSiUqm4evUqVVVVBINBFhYWmJ+fZ+vWrbjdbo4fP67Y8IS4JES02tXVxaVL\nl7DZbIyOjvLyyy8zPj4uo+vx8XEcDgc2m41wOCypINdC0bl6sEev11NYWMjKyoqMjGZnZ6VjEGWG\n3t5eCgoKCAaDFBYWyktTiUhJkOEIitxMJsOGDRtoaGhgZGREKnIXFBRQUlLCkSNHcDqdkhpTiYBi\ntYMWSjk6nY7q6mr0ej0bNmxgbGyMEydOkM1mKSsrw2w2S83FbDbL4uLims+J6AVotVpJzenxeOSk\n3+LiIm1tbXz3u9/F4/HIbEOsO5FIEA6HZT/lVvdCXJzpdJp4PC6JllpbW8nNzWXdunWMjY1hMBgk\nV7zFYmF+fp5AIMDKyspNdAZr2Y/VPTWhIhQIBMhms2zYsIGJiQl8Ph+ApBbIZrP4fD45Zfxr6aRF\njVHUOgXtaHt7O52dnQSDQR588EFqa2sZGBjgn/7pn/jmN79JU1OTfNBKRUqivnj9+nUikQhTU1M8\n+uijVFdXc/78eVkbf+ONNzh16hQNDQ2UlZWxbds2rl27xsTExJovDCFkOTU1RSqVwuVysWfPHsnb\n/PGPf5z+/n46Ojr4/Oc/TyAQkPVRt9stR2KVMPEiDg0NMT4+zh//8R8zPT1NMBikqamJ8vJyduzY\nQXt7O8899xwTExOSz0Sw1K0lWhIvYE5ODgaDAafTycTEBNFolEAgwODgoBSfFdmPRqNh//79TE5O\nUlFRQSQSkTJnazFRyhEpvdFopLCwEJ/PR2trKx6PB6vVyokTJ/jkJz/J1772NS5fvkwikWB0dFTK\nkAmlmFs1jUYjlXqi0ShWqxWPx8P58+fls1Gr1ezfvx+VSiWnRcvLy2loaCAQCDA7Oyv5lW/VxCi4\noPwUF+jS0hJf+MIXGBoaYnZ2lv/zf/4P/f397Nq1i9OnTzM/P8+3vvUtSbWgxOUpLq57772Xj3zk\nI/T39+N0Olm/fj2/+MUvyM/P54tf/CInTpzg2LFj/OAHP+Ds2bMkk0nFMvHVnyEk3V5//XUpLtDb\n24tKpWL79u00NjZy8eJFvv71r0vOk/z8/F9fgiV4/wvm5eVhMpno7e0lkUhISka9Xs/c3ByRSETq\nmAmeCIE6WGvtUzToRGS4tLREc3MztbW1cry3tLQUr9dLZ2cnTqeThx9++CZlB6WUh1entDk5Odhs\nNhYWFhgaGqKuro533nkHtVrNwMAAgUCAiooKQqEQbrebnJwcdDqdIrzF4qVTq9WsX7+eRCLBsWPH\nsNlstLe3YzAYuHbtmuRxvnDhgqw1ij9KcWwnk0l6enro7++nqamJxcVFurq68Pv9TExMkJ+fz759\n+zh06BDJZJK5uTnsdjuJREKRMeDV50zsi5B8Ky8vJ51OS3Xy1tbWm0ahs9msRGCs1QSyJZVKSWFZ\nUZYqKSmRytS7du2iqqqKS5cu0dfXRzqdZnBwUKJflDJxTm02GzMzM5SXl1NbW8vx48exWq309PTg\ndrvZtm0bR48exWq1Si7ptQrzrn6mok+QyWQoKiqSSk6Li4t4vV5OnDjB0aNHCYVCnDp1iv7+fsnx\nohTPi7hAhVbhjh070Ov15OXlSQBEMBhkcnISuPEsTSYT69atk9zWH/bZ3DGCJfHlhMDo1NQUeXl5\nGI1GBgYGpBPYvHkzarWa4uJiyTAWj8cVaU6Jung6nWZxcRGr1cq+ffvIz8+nq6uL2dlZ6urqKCsr\nQ6VSUVdXh9PppK2tjaKiIikppUQ6q9FoyMvLo7CwUDoogRgoLCwkGo3y0EMPSTUYl8tFf38/drtd\ncvwqZaJm53K5aGtro62tjerqajo6Ojhw4AALCwvE43F++ctfcvz4cR599FFyc3N/JfTsVkyUf1ZW\nbgiNTk9PS5kut9tNfX09x48fx+/3S6d1+fJl5ubmyMvLk0Q/Sq1D8EKEw2GZ9c3MzDAzM4PH4yEe\nj/Pv//7vnDp1ih07dpCbm4vD4WBxcVHyOKzFhJL88vIyU1NTxGIxSkpKqKmpYWVlhe7ubvr7+9mx\nYwder5dr166xsLAgBXGNRiO5ublrvrTERZVIJGSWkMlkMJlMXLlyRab1hYWFfOITn8But+P9D1Vx\nIfKhlIl3JplMcv36dZxOJ5lMhosXL1JTU4PJZOLChQs4nU7cbjc//OEPmZ+f58EHH/yVfDy3aiLr\nS6fTRCIRWRvv6emR+pfhcBiTyURjYyMVFRUyMxNIkA9rd8RJiyjAbDZz//33YzQaefXVV3E6nXzm\nM5/B6/Vy/PhxhoaG6OzsZG5ujkuXLlFSUkJ5eTmJREKRmrSIXjUaDUVFRTQ1NbF582amp6dZWVlh\n586d7N27l+HhYUZHRykrK+PatWv09fVRU1OjGPGT6JKLzveVK1cwGo1EIhE0Gg0XLlzA5XKhUqno\n7+9n06ZN1NbWMjY2Jss+SoiuishRRF5CQ3Hz5s10dHRQX1/Ppk2beOONN9i4cSNTU1MYjUYpZaQU\nT6/YT1FfLSsrI5VKMTc3h8FgwOv1ct9999Hd3c13vvMd+fKpVCrS6bRijbLVcL7l5WXq6urkxWG1\nWmVk+Mwzz5BIJIhGo4yMjEjx5FAopBi6Q6zB7XZTW1vL+vXrZUZjs9lobW2lp6eHyclJOjs7qays\nZGpqimvXruFwOCgvL5fNxbXuRzKZJJPJsG3bNrq6uvi7v/s7/umf/omHHnoIk8nEt7/9bd5++22+\n+MUvsmfPHmw2m+Q+V6pxKGB9Go2Ga9eukZOTQ0NDA7t27WJ+fp7W1lYef/xxzGYzg4ODfPGLX6S6\nuhqLxSIFCJQw8Tmtra1SE/XcuXNMTEzwxBNP4PF46O3t5Z//+Z+lwLXdbicYDJJOp2/pjN5RCJ7g\npE0kEly7dk1yKgvOXp1Ox+TkJOfPn5fim2VlZYo+aJGi5uTkEIlEePfddxkcHGR2dpaKigr6+vqY\nmpqSXLVCmVjJqABuXFy5ublkMhkp9S4isTNnzhCJRFi3bp0cbBE8woIeUwkTB0aUTpLJpCwzVFdX\nU1dXRzwex+/388lPfhKDwcDQ0BA9PT1YrVZycnIkHEoJW1lZweFwEA6HpcBAPB4nGAxiNptRq9VU\nV1fjdrs5fPgw169flw1p4aiVWofAJLe2tmIwGGhsbOTll19GpVLx2GOPyWaYUNBev349BoNBEXUW\ncU71ej1erxeTyUQymeT8+fOkUil27tzJjh07mJyc5O///u8xGAw88MADkvJ2YWFBMSV5UcpJJpPM\nz8+Tk5NDbW2t5JOuq6tjYGCAy5cvU1tby7Vr1zAajezatUvR0qBouhUVFTE3NycVT8rKyqQ69/nz\n52WZ9ODBg1RWVpKbmysZDZXYD3HeAoEAJSUlBAIBMpkMpaWljI6OolKppPDB4uIiS0tLFBYWSjkx\nwf/9YeyOOWnxwEW6sn//fqqrqwF45ZVXuP/++7nvvvuYm5uTIrE+n09CbwT8ba0mutXBYBC/309P\nT4+EtbW0tEhxgh07dkgK0/vuu4+pqSmi0ahih06j0VBQUEAmk8Fms0mFDbG2PXv24PF48Hq9zM3N\n8cMf/pClpSW2bt2qqFPUaDQUFhbidrsZGBjgL//yL2UT6o033sDhcLBv3z7Gx8cZGxtjdHSUdDpN\nfX29lG1aq63GSF+4cIGJiQk5OLNlyxZOnjxJW1sb//t//28GBwc5cuQIg4ODEgolmlNKvYgqlYpg\nMEg4HEar1eL1ekmlUnzmM5+hubkZn8/He++9R3V1NQ0NDbIeLcoua73QxdBISUkJPT09/Mu//Auf\n+tSn+PznP8/09DTHjx9n06ZNPPXUU3z0ox9FrVbT1dXFPffcw/nz5yX8TIm9ECm6z+fj3Xff5eDB\ng3zhC19gbGyMV155haGhIY4cOcKePXv43Oc+x9e+9jXy8vJk1qEEB7toblssFplZLS0tcfnyZX76\n059SUVHBvn37mJ6eZvfu3czPz+N2u6msrOT06dNks1lJkbwWExlsJBIhFovh8Xh4++23mZubo6mp\niWg0islkorOzkwcffJBsNsvrr7/Opz/9afr7+1lYWKCwsPBDl8TuqJMWB9hsNssUanZ2Vnb2jx49\nKhEWDoeD2dlZeftotVrFQPGrI1gBp/J6vezbt4/c3FyGh4cxGo1SLqi+vl7WzDUazZpLDcJJG41G\nwuEw8XicxsZGNm7cyOzsLIcOHWLv3r2y3iYmMfV6vayJa7VaxZyS1WolNzcXv9+PyWSisrKSeDzO\n4OAgdrud9957TypPPPXUU2i1WkKhkIxwlDAxqBAIBLBarWzdupXBwUF6e3tZWFigpKSEqakpzpw5\nw8DAAOfOnWNlZQW73Y5er1cMvy6i2Lm5ObxeL7W1tRL2V1ZWxuXLl6mvr+fgwYMYjUai0agcdlKK\nw3j10FcwGGRkZITy8nIOHDhALBbju9/9LplMhqeeeor8/HyuX79OW1sbJpNJZjZKPpdMJoPT6aS0\ntJTKykqy2Sw9PT14/0OMVgg1+Hw+9u7dS3Fx8W2ZFM5ms1KqTAh2JJNJycM+MDDAAw88wMrKCtFo\nFL1eTzAYXHPZZ7WtrKywsLAgHfXExIQMVMxmM/n5+fJ3i1mQbDYrx8Nvxe6YkxbdagHH6+zsxGKx\nEAwGsdlsxGIxTp8+LZWSRc1TdM+VmmoTzlFgk8WklF6vp7KykkQiQTwel9hfj8dDaWkply5dUnTC\nTwwdxGIxiS8VistNTU3E43EcDgdFRUWMjo5SX1+PVquVE5lKrUXsid/v5/Llyzz55JO0tLTQ2tqK\n0+mUCBuAVCrF008/jdls5rXXXpMvyVqadqtHjkW2JGB/ubm5mEwmHnzwQZaWlhgcHMRgMPDEE0+w\nsrLC+Pi4dNBKOSWBnBEKz2azmdOnT6PX64lGo7S1tdHU1ITRaJRk/DMzM/KZKNErEKPPqVQKi8VC\nc3MzMzMzdHR0ADeeQ15eHkePHiUcDjM7OyuheAaDgdzcXEXFaIWm5NatW7FarZw+fZpz587x2GOP\n0dLSwtGjRzlz5gwtLS1s2LABlUrF0NCQ/Pm1nFXxs6J3Mjw8jFqtpqSkhNzcXBobG6murqatrY3B\nwUGuXLmCy+Vix44dxGIxEomEFK9QykSAGQqFcDqdlJeXU1VVxWuvvSZlz8TZKCoqIhwOS9m3X/ua\nNEBnZ6ccmPj0pz9NUVER4+PjXLx4Uer6vfLKKxgMBg4ePEg2m2V6elpOc63FVnN2bNiwQSpcRKNR\njEYjZ8+epauri4mJCaqrq7Hb7bhcLq5fv47f75djyms1cVENDAzg9Xr5yEc+ItPYyclJNBoNFy9e\n5MSJE1y4cIG+vj527txJd3c3iURiTcMjH1zHysoNfcOzZ89y+fJlvvzlL1NbW8vMzIyMXv/wD/+Q\nc+fO8eMf/5hTp05RVVV1ExHSWkw8E9F/0Gg0DAwM8LOf/YyrV6/ys5/9jOrqah577DEuX77Mpk2b\n5Gh8dXW1hN8phYMVw0Vms1mqwjQ2NlJfX89bb71FQ0MDbW1teDweLBYLly5dkpnIrapBf9AEouLq\n1asYjUYeffRRjh8/zrvvvsuePXv43ve+RyKRoL29nc2bN1NeXk4oFEKr1dLY2Ci5PJQwARtzuVys\nX7+ed955h/7+fmpra7n//vuxWCy8/fbbWK1Wdu7cyQ9+8AMsFossF65VmUSUSVdWVggEAng8Hmpr\na7l48SK5ublUV1fzxhtvsLS0xJ49ewgEAmi1WsrKynj77bcl3l2Jsovoe5jNZh577DHcbjcjIyPo\n9XouXrzI6OgoO3bs4PDhwzLDqq2tJRqNUllZCdyautIdc9Jio8PhsJx5f+edd+T/Hx4epqamhuHh\nYXp6evjUpz4lFaqVNIF9FdI7ZrOZVCpFMBgkEAig0+mIRqOEw2HMZjPnz58nGo2SSCSkMrUSJnC+\nKysrbNiwQRKzPPDAA5w8eZLu7m7OnDnD5cuXsVgsDA4O4vP5JMGREiYOXTweZ2VlBZPJJMsI09PT\nxONxpqenGR4e5sqVKwQCAanmLng7lExnRSN5bGyMvLw8WlpauHr1Kvv27aO6uppXXnkFrVbL9PQ0\n+/btuwnWpMQ6VkO18vPzmZ6eJhwOo1aruXjxIrW1tVRUVPDOO+/IPsLCwoJE4ijVuBQOZWFhgenp\nabLZLMXFxYyPj3Ps2DF2795NYWEhhw8fxuv1cvbsWfr6+vB4PJJXQwkT2Yler5fryMnJobm5meXl\nZf7t3/6NkpIStm3bRmlpKbFYjPn5eaqrqzEajYqtQzzbnJwciR0/e/asbF5qtVoKCwvls0un07z8\n8stcu3YNr9erqHq6aOhu2LCBiooKRkZGCAQClJWV8dxzz1FTU8P09DR+v19y7+h0OulnbiXQvKNO\nOpPJEAwG0el0ku7RZDJRU1Mja62BQACXy0U0GuX8+fNkMhlFOubwfl1c4GCnpqbIzc2V9aJnn32W\nq1evMjs7y8aNGykoKKCrqwsAu92uqAirKLuI6F187ujoKCdPniQ3N5fr16+j1+tZXl5mdnYWp9NJ\nfn6+BOav1TEJHpN4PE5tbS319fWsrKxw8uRJlpaWuOeee/B6vcRiMXbt2sW9996L2+2WNTkldeRE\n3U6lUsmGjN/vJxgMsnfvXlKpFH/9139NYWEhXV1djI6OSlTKajbDtZqIzEXNP5PJsLy8jN/vp6Gh\ngTfeeINMJsPi4qKE5i0vL8sylFI1adGDsNvt5ObmUl9fL5E3wWCQl156Ca/Xi8FgYHZ2lqqqKjkY\nJbQqlWjY5eXlkZ+fj06nY2Zmhs7OTlSqG9qT6XSahoYG2eAsKCjgmWeekdweqymGlbD8/HwWFxeZ\nm5ujrKyMxsZGNm/ezIkTJ+jt7aWpqYni4mIGBwcZHBzE5XJht9sVDa4EI+Hw8LAcOU8kEgwNDfHf\n//t/Z+PGjfyP//E/0Gg0MlMXOPNbvcTv6MShmBjSarW0tLSwc+dOKisreemll3j33XfZsGEDeXl5\ncjAgEonIqTil1iAcrNVqlQQwIqoWZDX19fWUlJTI6FJ025W6kQULn9Vqpbm5GYPBwIYNG7DZbFgs\nFp588kkymQytra0S9mSz2WQz6YNK6rdqAosrPk/UdwX7WygUkgMLZrOZlZUV/H6/YhN+H1zLysoK\nRqORrVu38kd/9EfMzc1x8eJFfD4fiUSCuro6yccguLYFD4JSaxGORdBdLi8vS/6J8fFxDAYDDz30\nEAUFBWg0GklqpOQahIkJRq1Wy89//nOi0SjFxcVUV1dTVVXFfffdh16vv4lON5PJKL4OcSlptVqe\neOIJmpqaKCgooL29nUgkwuTkJGazWZahksmkYvA7uLmuLfi8Dxw4QEFBAclkUjb1bTYbWq0Wo9FI\neXm5ZBBU0sT7EovFGBkZYXl5mZqaGgnD9Hq9kskRbvgUkWX92jtpuOGcxASXoBJUqVREIhEsFgsm\nkwmj0Yjb7ZYR5O3gCxbdc8GhIYjbBcZUNI4EeTgoq0q9mlRITMyJBqKIguLxOH19fej1emw2GwaD\n4basQ0zZLS0tMTs7i9/vJxqNkpOTI0eixcsgIkuRVirJPCcsnU4Ti8VkD8BqtdLR0UEwGMRgMMis\nQmQ1SjskQELHRE3VYDCwceNG1q9fj0qlorCwUGZ+RqNRUSZAuHk/VCqV5L0RuFuNRkN9fT0VFRUk\nk0mi0ehNdK1KPZfVJhAVKtUNgQ6tVktvb69kAxTUDuLyFmtQ6vmIjEngoGdmZiSHtNFoxGAwyFo+\n3HDmSu/BahMAh8LCQtavX09OTg4HDx7EYrHIyWTh0MWe3epzueONQ7HoCxcu0NHRgVqtJpVK0dDQ\nIB2i1WqVD1qJbvkHbXX0LC4MlUpFd3e33NhwOAygWJf8g79fmJiaE7P+8P74enl5uYwWxYG/HU5p\n9ctUVFSEx+ORbIHwfvPog1N9t+MlWFpaYn5+nqNHj8p1OZ1O7Ha7jE4sFsttcUSrbTWnicFgQKVS\nyYlP8U8Bd7td6xC/Y2VlhebmZhnhi/LcuXPnbgpk4OZsUcl1wPv8yXNzc8D7tJ0lJSW/siav9FkV\nz3x5eZmxsTH5XSsrK2UAIS4JUeK4He+LYI8U9f+enh4A2RzMZDKyWboaM3+rz0V1O77EXbtrd+2u\n3TVl7K4Q7V27a3ftrv0a210nfdfu2l27a7/GdtdJ37W7dtfu2q+x3fbG4Ze//GVZ9BaNINFgEEgF\nMTFmt9tlU08U3D/YIf7e9753S9X31esQtrorn06nJdxJqDmIppDg+VBiHX/yJ3/yn9axWpxXpVJJ\nHHc8HsdkMmG1WllaWpL7sroB8Ud/9Ee3tI5vfvObch2rGzIC0SD+ezqdvkltZG5uTjZzV6NUvvGN\nb6x5HcIEXEl8viCfKiwslAM4gjz9g1CvW13Hd77znZvWIc6dED7NycnBbDbLhrPJZJINZkFUtXqy\n7vd///dvaR1/+qd/+iubRKJ5LNAvFosFq9Uq4ZBiNF7sh9i7r33ta7e0jhdffPFXvrfi94jBtIWF\nBcmfItAlqxkJxTv+B3/wB7e0jhdeeOE/7Yd43qKBZzQaSafTEg4pNBlXQzSF/dmf/dma/YfYj9WU\nBgL1pNVqKSgoICcnR8KIxc+sXvuH8R93NJIWD1qoP6dSKQkhSiQSN6lcCCzx7ZCFX70e8Tu1Wi0m\nk0nq2+Xm5uJyucjLy7utnWKBhbVYLDidTkpKSiTxUiQSwWg04vF45Di6UlNtq231RahWqyWcSqvV\n4nA42Lx5M1u3bpUKNqvhXko/G6FKIqb5wuGwhH+VlZVRX19PY2OjlNG6nY3v5eVlqSQvBm2Wl5ep\nrKyUQxyRSERyM9wuE9S6Yj0iiBBnNZlMkpOTc9MloTSGXaxDaC/m5uYSDocJBoMSZSECK6FWfjuQ\nUQI+K+CP+fn5eDweeWkKGK9wokrx/nzQVl9WqVSK+fl5eQ4EL5CQ4lsNWb0Vu+PljtUSViJamCxQ\nZAAAIABJREFUMplMbNmyBe9/UEKurKxQXFyM0+mUjF5KOgOBW0wmkyQSCUKhkFTh0Gq1ZLNZbDYb\nHo+H4uJiyZ18Ox62YAAsKyvD6/XicDiYn59ncnKSdDqN0+nEarUyPj7O9PQ0S0tLig4KCBNDLB6P\nh5qaGkpKSpiZmWFycpJ169axfv16cnNzGRgYkNNmq6FfSthqPpCVlRvioXa7XUbQ58+fp729nUAg\ngFqtltjh2wHHE+sYHx9ncnKS3NxcCgsLyWazbNq0ie3bt+NwOJiYmFizluD/zcQAmCCaEoM1go+i\nr6+P4eFh0uk0drud/Px8qQKilAYmICNowa/S3NzMli1bJHxWr9eTTCYlna/4u6tV15UyMVgTj8cl\nBWkikaCvrw+n00leXh6Tk5Po9XoZZCnFoClMZE5iwjObzZLNZnG73TQ1NbFt2zapHiQobEWAeivv\n7R2TzxKLW63pJzhhJycnaWlpkerD2WyW+++/n2w2y8zMjGQmU4KKUpQuhCT90tISXV1d8kCZzWa+\n853vcPXqVc6dO0coFMJoNFJSUiLTOyUEAES0IVL3119/nQsXLuDz+WhoaJARvFAzD4VCbNq0iS1b\ntqDRaOT3WIuJ2118d7vdzu7du7l+/ToXLlyQVLF/8zd/Qzgc5tKlS7S0tHDPPffIwYGFhYU1qUGv\ntuXlZcmXYTabZfYwOztLIpHgM5/5DIFAgJGREbZs2SKHBrRarczK1moio3K73YyNjTE5OcnWrVvZ\nvn07169fl6rYQixi165d0lEJpkclbHVKnZeXJ7mz7XY7NTU1jI+P8+ijj6JWqzlz5gzDw8M0NTWR\nyWRkKWitQzYioIIb++J0OrnvvvuIRqO88847TExMsGHDBsrLy6moqMBkMvHss8+i1Wr5zGc+I9W9\nlbDVbHiRSIRoNIrNZqOyspKTJ08yPDzMAw88wNmzZzl16hRf+tKXMJvNjI+PK6aWs9oEhl5Q6W7Y\nsIFTp07x/e9/nwMHDjAzM4PL5eLQoUMcP35cKtwLvpEPY3fESYsIVKvVUlVVJZ1kMBhkYWGB4uJi\nvF4vmzdvpr6+npGREXp7e8nNzZVUokpNdYm0zG63s3XrVqLRKKOjo+Tk5HDq1CmKioq4dOkSbW1t\nDA8PMzExwdjYGF/+8pflSLZS6xAK4CI9SyaT7N27F7vdTjKZpLKyErVaTTweZ2JigvLyclkOEo5a\nCRN6fqlUinfffZcrV66QyWR48sknCQQCdHV1ySnEQ4cO8cADD3D06FH8fj8LCwuK8VWo1eqbavGC\nwnXdunWSptNgMKBWq6Wens/nuynVXusaBLl8ZWWlVKipqKggGo1SXV1NJpNhfHwcQJZchoeHqaio\nkBmaElGbSKMFP4i4MO69915mZ2fx+Xx85Stf4erVqxw7dozq6mpmZmaYn58nHo/LcshaTVCgiu/2\nk5/8hHfeeYeOjg6efPJJ6urqiEajxGIxiouLGRsbIxAIcODAAYxGoxREWOsaNBqN7AvodDqZ/fb0\n9PDee+9JmtbS0lL2798vaZAFh4iSmacoO6nVanw+H0ajEZfLxe7du9m5cycej4euri70ej1+v5+B\ngQHC4TB2u/2Wft8dmzgUEYqY4LLb7ZhMJoqKinjzzTd54YUXCIVCUrbJbrdTVlZ2k/jrWlNalUol\niXxcLhdNTU386Ec/ori4mKKiIqxWK7FYjF/+8pfSGX7sYx+TPLE2m23N/Mlw4xYWF5UgXjl//jzr\n1q1j+/btvPzyyzQ2NtLf3w9AfX09OTk5FBYW0tfXRywWk2ncWk2kYfPz80QiEaamprDb7dTX1/ON\nb3yDyclJ/st/+S9s2bKF2dlZXn/9dUZGRvjlL3+J0WiUTaO1mEiPxfi1zWYjGo1y5swZKisr0el0\n1NTUcOnSJa5fv05jYyOdnZ2YTCYGBgYwGAxybH4tplarZYbw7rvvcvbsWUpLS6VQRTwe58iRI5K2\nwOFwSIIu4UREmWSt+yF0PQ0GAw0NDfh8Pg4cOMAjjzxCZ2cnCwsLfP3rX5ckZN/+9rf5+c9/TiwW\nk3qMSpWiNBoNxcXFZLNZfvKTn7B9+3aeeOIJxsfHGR4epqSkBIALFy7wrW99C4BAIEA2m1WElU84\nWJFJ9/X1EQwGWbduHdlslurqanw+Hz/+8Y8pKSkhlUrx0ksvcfDgQZxOJ7OzswCKPBfhQzweD+vX\nrwdgYmKC69evk0qliMfjtLe388wzz6BS3VD42bZtG36/n7y8PJk5fxi7I05aqB8vLS1JeSyx2NX1\nztraWvLy8m5iftPr9ZJBT0kSnZWVFUKhEFeuXKGuro65uTmpe/jEE0+QzWZ58cUXcTgcNDU1ybKH\nEusQTnpxcZGRkRFSqRSRSASz2Uw4HKampoZdu3bxrW99i0QiwfXr15mdnZWUmKJEocSlJRogQq3G\n5XJJJzk0NITT6aSmpgabzUZ/fz/Xrl1Do9HIaE2JevDq/czJySE/P5+enh7m5uakOszOnTs5c+YM\nGzduZOfOnfKCS6VS0hGsdR2rL0+h/qzRaEilUsRiMSorK3n66adlFigibK/XK19esa9rMZXqBr+2\n2Wxm48aNtLS0SOUVn8/Hww8/zNWrVzly5Ai1tbXk5OTwi1/8gvb29pu4vpUyvV5PQUEBfr+fj3zk\nIzz++ONMTExw+fJlXC6XZJS8cuUKzz77LHa7nZdeeol0Oo3JZFKk1CBKSVNTU/T19fHUU0+xY8cO\nent7ycnJoaioiC1btpCXl0dbWxvT09MYDAaZTSixBkEZIc4J3HDQImp++OGHSaVS2Gw23G43Fy9e\nJC8vD4/HQyAQkMHmh7U74qQFREVIMNlsNo4fP05hYSHbt2+nuLgYh8NBTU0NgUCAdDrN+Pg4Pp+P\nyspKKaGuhInutFarZWRkBIPBwPz8PKOjo5hMJrq7u4nFYly4cIEjR45w//33S6e1uka3FhPNBoC8\nvDwKCgpobm5m3bp1TE9PU11dTUlJCcvLy9jtdkl2JKgjBa+vEiZe5kQiweLioiQvUqlUuFwuqqur\nWVpaYmpqilgsJpubc3NzUixYCUrMbDYrYVRWq5WysjLJhhgKhRgYGGBsbAyHw8Hg4CBlZWWym64k\n2ZNAliwvL5Ofn086nWZ2dpb+/n4KCgooKCjg9OnTlJWVSeFk0WwGZdA3ojElMpVwOEw4HCYQCLC0\ntCRFaMvKyhgfH+fatWv867/+KwDNzc2yqauEYxIZgk6nY3Z2VnJF+/1+HnroIdLpNJcuXWJubo7u\n7m65fsFSKIKstZqoKwt+b1H2EUIQosE+NjYG3ChF+f1+ioqK1sRAt9pEliSCKp1ORyqVoqamhvz8\nfPbv38/o6Ci9vb0MDw/T2dnJvn37iEaja0JD3VH5rEQiQWlpKbW1tZw8eZJHH30UvV7PX/3VX/HQ\nQw9JFfGamhrpMMvKyqRashLOAG44xmg0Sn9/P4cPH+bq1as0NDRw+PBhXnjhBXw+H/fccw/f+973\nJAG9wWCQWMi1Wk5OjuzCr1+/npKSEuLxOP39/bz22mvce++9nDlzhqqqKj7+8Y9js9mYnJwkFosp\nrs4tsKRarZZEIsH09DTbtm1j8+bNqFQqSktLpYCmw+EgHo9LtMlaVTdWr0Mc/pWVFUZHR2lqaqKu\nro7BwUH6+/uZm5tjx44dxONxrl69SigUoru7G6/Xi16vV6wuLpARBw8exOfz0dXVRUFBgYxO29ra\n+MQnPkFZWRkvvfQSZrNZXlpms1kxZRbRd2hvb2dgYAC4QXt59uxZhoaGKCoqQq1W09fXR2lpKV//\n+tfR6XS0trYqJpgs8M4iw5yamiIYDNLe3k42m8VgMNDR0cHv/d7vodVqmZmZ4fXXX5dKKEIuSon3\nVuDEGxsbqamp4a233uKf//mfMZvN/O7v/i7Xr1/n6aefZvfu3TzzzDMcOXKE3t5evvrVr0qoohJn\nVZzT0dFRuru72bFjB263m3PnznHy5EnWrVuHxWIhEAhQWVlJR0cH6XQaj8dzy2XBOwbBE82/4uJi\nDAYD99xzD9XV1YyNjZFMJrFYLFJTTkDehCkJORNIhmg0KiFDw8PDZDIZotGobHzU1NRILT21Wq1Y\nDRjej7bEd5yenubixYu4XC5efPFFvv/973Pw4EEeeeQRLBYL4XCY5uZm6YyUQLnA+806nU5HaWkp\nNTU1HDx4UDrHZDKJwWAgFovhdDolRafg3QZl0kh4P3osKCjA4XBw9OhRfvzjH3P+/Hn8fj99fX3M\nz8/jcDg4ePAg8/PzitbmxRrEH6/Xi9frlVGsw+FgfHyctrY2VCqVbFitW7dOcksr2ViG9xkBRRTZ\n09PDyMiI5Di/cOECmUxGKtoYDAZCoZAc8lmriXMq5hrMZrNM90W5sqamRirI5OXlSSUfnU5HXl6e\nYuLRApJZVVWF2WwmGAxKhxkIBMjPz6egoECWQ+bn5+Wlr2SpVPTGViNuBATyt3/7t3nuuecwGAzE\n43FisRhzc3M37eOvLQQPkJ1Zm80mERM//elPSSQSbNq0iRMnTrCwsMDjjz9OXl4er732mlRjFrIz\nSqT4wikFg0GGhoYwmUwsLi4yMTFBJpPh+9//Pr/5m7/JN77xDZ588kkWFhZwOBysW7dOMXgVICcH\njx07JvUObTYb9fX1/PSnP2VgYICnn36at956C5vNRm1treQ2Fi+KUvqCRqOR2tpa0uk0VquV69ev\n8/bbb3P48GE0Gg1VVVWMjo7yk5/8hD/8wz+kr69PqmOIiE8J0+v1FBYWYjQaicViLC0tUVpaSjAY\nlDJEv/jFL5iYmECr1bJ7927pmEC5wZr5+Xnsdjt79+6V1JwlJSVcvHiR+fl5VlZW2L17Ny+88ALv\nvvsuNptNqrqLicS1mlD0CIfD7Ny5k6qqKnp6eigqKiIUCtHZ2cnnP/95xsfHOXLkCP/wD//A0NAQ\nExMTVFVV3cRBvpY1iPKP6A04nU66u7ulKsvc3ByBQEDW0UX/af369ZLaVCm6YaG8HQqFeOGFF/iD\nP/gDTp8+zfDwMFVVVXz0ox9lcHAQuKGyZLFY8Hg8TE1NKaI/KRy00Whk586d+Hw+Oeeg0Wj4wQ9+\nIAUBSkpK0Ov1eDwe4Mak7q1mwXeUT1qj0TA3N8f09DRlZWU0NDRgsVh45ZVXGBgYYG5ujr6+PhKJ\nBG63G5fLJafKlFILFzerzWajqKiIlpYWiouLCYVCnDx5krq6Orxer2xazszMyI0VjTalnKNKpcLn\n8+HxeHjuuefweDzcc8899Pf309raKtEuGzdupLe3V0aSmUxGvkBrNRE5Dg0NMTU1RTqdpr+/n9On\nT2MwGDCZTPzmb/4mf/Znf8apU6d46aWX6O7ulpGSElGs2Nfc3Fz6+vpIJpNYrVZcLhdLS0v867/+\nK2VlZTz88MMUFhZKNIfL5WJ0dJR4PC4vr7WuQ6g9h8NhpqenOXv2LIuLi6jVampqati4caNsSjU1\nNfHDH/4Qu91OcXGxVLFZq60+74FAgKGhIZkup9Npent7KSsrIycnB5fLxWc/+1lqa2t55ZVXiEQi\nclpUCROOLRgMSpXyUChEKpXi7NmzBAIBnnrqKSKRiBzHFo5MCEUoYeJzYrEYCwsL9Pf3YzKZ0Gg0\njI6OMjs7KxXeN2zYIMEJoqG8elR9reswmUyyKSnKoJlMhoqKips48fv7+5mfn7+JauJWBmvuOOm/\nEDPdvXs3GzduJBaLyUbA0NAQMzMzmEwm9u7dK9VChGNVwsS0o8PhIC8vj7y8PPx+P2+++SYWi4UH\nH3yQXbt2odVqqa2tZXJyUjpUJTvmgushJycHp9NJVVWVTPUDgYDEfdbV1VFcXMzJkyflCHkymVSs\nESJQCd3d3QQCAWpra4nH4ywsLHDu3Dmam5uJRqOcPXtWTphFIhGKi4tlOqvEWkRzSpyP7du34/V6\nCYVCXL58mfz8fFQqFffddx8FBQVcunSJyclJhoeH5cFfq2MS5yyTyeDz+RgYGODKlStUVFTIC7Og\noIB/+Id/wOFw4HK5cDgcbNiwAbPZDKDI5SkuLa1Wi9/vJx6PU11dzcLCAhMTExQVFbF161bOnDmD\ny+WiqqqK2tpaNm/efFO2tdbzulpZBG48o40bN8qm9pUrVyTGfnh4+KbBKMH7olQULbDJer0enU7H\niRMnpJP0+XxS6FVMBs/NzaFS3VCCUlKoWAAPRNlR6BuOjo5SUVEhB7uEslJOTg5ut/smbp4Pa3fM\nSWezWTnHvri4yKuvvkpbWxtGoxGv10tjYyPvvPMOkUiEgoICifIQmE/xGWu15eVlMpkMw8PDcrTW\nZrPxO7/zO/Kmy2az+P1+Tpw4gdlsJpvN0t/fT25urmIDAnl5eTidTn7rt36LcDjMm2++ycTEBNls\nlu3bt/P000+j0+k4ffo0P//5z3n00UdxOBy0trbeMpTnV61jZWVFksAcPHiQxx57jNHRUVkK8ng8\ndHZ28uyzz1JeXs7f/d3fsbi4yLp160in04pNG4q1/PZv/zYajYYjR47IUf3nn3+eiooKfvazn7Fn\nzx4SiQSTk5MYDAaMRqOiz0WtVlNUVMTU1BQzMzO8++67WCwW/vEf/5H5+Xl8Ph9ut5sjR46wtLTE\ngQMHKCoqoq2tjXg8rkjpZzWfS0tLC9lslgsXLrCyskJJSQmf+tSn5BRmLBbj61//Os8//zw7duwg\nJydHInGUKM/p9XoMBgNer1dOEHr/Q8fv7bffpre3l2w2i1arxWazodFosNlszMzMSHKqtZoouczM\nzMgSxvj4OOl0GrVaTWVlJSaTSa7vzTffJBAISIy7UmVKke0JqT+Px8PKygotLS04nU4mJydliSce\nj+NyudizZw8Wi0VmfIlE4kP7sTsGwRMwKzHe3d/fj0ajYd++fTJysdlscqDE5/NhtVolZ4FSqb3Q\nJgMIhUK89dZblJeXs2vXLi5fviwhO6FQSEZokUgEjUYjlbqVMEHW43Q6ycnJYWFhgdzcXFKpFA6H\ng6mpKaxWK6lUCrvdTmlpqWxSKImqAORYs81mY3BwkImJCSwWC7W1taRSKTn4E4/HZZNG6CIqYYL5\nUGhdVlVV8W//9m90dXXhcrnIz8+Xgz3ZbJbJyUk2btyI1WpldHRUln/WagKRYDQacTqdpNNp3nrr\nLSKRCGNjY+zcuVMicdrb22Xj6tq1a8zMzCjWOBRoF6E4rdFo6O/vJxqNylLG8vIye/bsYXFxUdZp\n5+bmpMyZEgGNgGKq1WpKS0uZnZ2ltbWVyspKKisrJXS2qamJvLw8qZhuNpslDFAplImYwAyFQiwt\nLUnRWwGLHB0dpaOjg3g8zvLysoRwiqEepci4xKSwaJL29fXR0NCAXq9ncHAQh8PB0NCQRHAJVNta\nCJbuiJMWjk08SBEtbt26lfr6el555RUAysrKCAQC+P1+CgsLJfROKRPNDaPRSFNTE0tLSwwNDVFW\nVobT6SQcDrN+/XoJTBdOQDQ9lUQRxGIx4vG4JCxSq9Xs2bOHyspK/vZv/5ahoSEOHTokHdhbb70F\nIC86JUoMok6Xl5dHPB7n1KlTjI6OEovFcLvdlJSUYDAY2L59O9FoVCILBDpGSSSD4Gn5y7/8S+x2\nOxaLRV5IDz74oHzxW1tbmZ6elhetTqeTUbgSUC9BNGW321leXuZzn/schYWFPP/88/T09FBWVsb9\n99+PSqVidnaWkZERSWWqVElMTIGKS8DlcvEXf/EXzM7O8uabb/LSSy9x9epVDh8+jF6vp6GhQdby\nV9eF12qiOb20tITf7ycnJ4fBwUGmpqbIZDJMT09LrPDAwIDUKoUb9LJKKcovLy+j0+lknTkUClFc\nXExLSwvNzc288sorvPrqqzz++OM4nU6SySSTk5OSskAwCCqxDlFqFOfE6XSi1Wrx+XxkMhn8fj+X\nLl2isrKSbDZLR0eHfGduNdi8I05aFO81Gg16vV5yM0SjUU6ePMnly5fxer3U1dXJLy1SPqXZ3gQN\n6mqKxXg8Li8Gt9stITSC42NxcZHc3FzFUAyryWIEt0BJSQm1tbXU19ej1WqZmJjg+PHj+P1+Genq\ndDrFGiDwfk1ao9HgdDpJpVI0NzdTWVlJYWEh586dkyyBogwkDpz4eSUZ6FYTTnm9XjQaDcFgkJMn\nT1JYWEg6nZYTmmLoRsAzlXKO2WxWon3C4TB79+7FarUyPz9PZ2cnv/EbvyFRF4L8S3CwKGkCrqVW\nq5menubVV1+VxEmf/exnpYK6cIY6nU4KoN4O+ljBV1JXV0dpaSnr1q1jdnZWBhoLCwsSGigGz8QQ\nyVovc+EHdDqdnHDs7+9nZmaGwcFB9Ho9n/vc59i0aRPDw8MEg0HZ7FWSQXM1nn9ychK1Wo3L5ZKN\nTK1WS35+Ps3NzZKnQ2DexXv7aw3BAyTeWK/XU11djcvlIplMylKC1WqVwwQCfK4EmkKY2KBMJiOn\n1QRkSCAKVlZukJmLCThR8lCqzLHaVu9HcXExyWSS1tZWxsbGMBgM6HQ6nE6nrPmJ1FMpW03aLxyv\n0+mUqBrhFERtcXVTavXPKrUW0fQRey6e0+DgoJxEFMRByWRSkebYr7JsNks4HGZ+fp6GhgbWrVuH\n0WjEaDTidrsZHh4mFAqRzWalMIRSCKTVJvZEpVLh9/sJhUJSOd3j8eDz+SSnjIDbKcn2Jr6PIFla\nXFxEp9NhMBhYWlqSZaFEIiHP8QezGiUJyVajgMRlOjk5SSKRwGq1yuBLNA2Vfl/gfUctAs9UKsXM\nzAzj4+PU1tZis9mwWCyyyS4QLmsJrO44ukMcvLGxMTnCmclkSCaTEm+5+sArTTEI7ztrwVshLgox\n4grvd7Zvl4MWJiIwgWpYWVlhy5YtANIJiBfwdoofiGm7WCxGT08PKysrFBQUABAOh+XfFU7jdplA\nRwwPD8t/r66ulg68oKBAXq63Gpn8v0y8hCqVSkZD8XicaDRKXl4efX19cl0Wi+W27Yf4zNXlHI/H\ng0ql4kc/+tFN6jkul+um9SttogwkRrzFWV1eXqagoECWZ+D9qPd2rEMEbVqtVk7vCZz+wsKCRJiI\nv6c0IutXmUqlorCwkMLCQuDGWVmN8Fmddd7y77jdX+Ku3bW7dtfu2q3bXSHau3bX7tpd+zW2u076\nrt21u3bXfo3tttek/+Iv/uJXqjCLmpHolmo0Gjm4IiSR4P2atCjLfOlLX7qlAuDv//7vy3WIhpNo\nLoiasyDtFkKsQrtMNCxW1x6/853vrFn9WHR8xZ6ITnAsFpOSXUKtRBDtiLFT8TO3qn78q1SY4X3Y\nldgftVotsamCe0X8vdWlsltdx3e/+93/qxo0ICk7c3Nz5YSXGApYXXsU9tWvfnXNKu7i96+us4rm\ndjqdZmpqSmJlxZTiB1EEt6ri/o1vfOM/qbiLGu/S0pLESadSKdxuNyqVinA4zNzc3K8Uf/3mN7+p\nqEq3wGCrVCoMBgMqlYpQKCRHwYUay+r3VqVS3fL5+MIXvnDTOlbviRDo1Wq1xGIxACljJoStP6ji\n/ld/9Ve3tI6vfOUr/2k/VqNHBDJIcISIdYmm4Qf5zv/8z//8//c67njjcHWTSjQiIpEIVqsVm83G\n7OysxO4KALvSwqurO61iI5eWlpiZmSESidDc3IzD4ZCK3UJxQ2nImXDQ8P5EZjgcJhaL4fF42Lhx\nI7m5uQSDQS5evHjT5bL6Z5Uw0ezIZrM3UbJmMhlmZmZwOp2UlpZSWFhIJBJhZmbmphdGKRPOaHFx\nkXQ6jdFopKqqCpfLRSwWY3BwkMnJSVZWVuSEm5JrEN9J7AXcaN4VFBRQXV1NOBxmdnZWOiTBM746\n8FDKxCUpnk1ubq6kzVWr1dTW1kpVEKF/aDAYFONPXm3iUhbvo8FgoKKiAqPRyMjICEajkaKiIhYW\nFqRytnDmStpq+KrQJBUsd2L4LRQKEYvF0Gq1ijHxrbbVz1pcikLxSYhQOBwOyV+yVrvjTlrcPA6H\nA5PJRCQSkcMcJ0+eZGhoiPz8fO6//37y8/MB5AurpDMQ6xCbnUwmpbbffffdRzgcZnx8HI/HI5Wp\nQVmEhXAuAmonWLLEKK7dbpcSTVevXpVK0QJRoBQNJLyP5xQHLzc3l5KSEubm5ujt7aWxsZGHH36Y\n8vJyOjo6OHbsmIwglXwJstmsHEYQKi1jY2NEo1F8Ph/t7e2Mj49TV1cHgMvlki+NUsRXYlQ+FouR\nk5OD1+ulvLwcq9XKxMQEmzZtwmw209/fz9jYGGazWepUKo32EJGzOBtWq5WrV68yPz9PRUUFs7Oz\nXLx4Eb1ej91ux2azsbi4KPH3SpnI8AKBAADl5eXU19ezsLBAR0cHVquV0tJSUqmUHHYSkbeS50Nw\nzQQCASmecfHiRXw+H48//jgmk4lMJnMTdlxpvLRAmAgCsqWlJalkdO3aNVpaWqSkWF9fH0ajEYfD\nQU5Ozi3txR2lKhUyWEKuqaOjg/fee4+PfvSjqNVq3G43u3fvprq6mo6ODslUJwDqa1VnES9hJpOR\nZQ3BJ1JSUsIjjzxCfn4+RqORyclJ9u/fT3d3N+fOnaOmpkbeykpMtglO3qKiIhobG6mrq6O1tZWR\nkREeeOABVCoVp06dIhwOk06nqaurI51OKzrdJtYBYDab5cUwNTXF6OgoNTU1FBUV8dWvfpXW1lYe\nfPBBvvSlL0komsViweFwrPklFE42JycHu92O1Wrlv/7X/0oqleLUqVP81m/9Fjt27OD3fu/32Lp1\nKw6Hg66uLkk+JH52rQMlIkNJJBKcOXOG+fl5Pv3pT2Oz2Whvb+ell14iFovJ6c/Z2Vk6OjooLy/H\n4/FIfKwS+yG0QIuLixkYGODIkSMcOnSIwsJCOYXY0dFBJBJh8+bNlJeX09XVhdvtlvJOa8UIi9F0\nUVZwOBzs3LkTt9tNQUEBn//857l06RLPP/88KpWKt956i3A4jMvlYnp6mpycHPR6/ZqSJSeOAAAg\nAElEQVT3QzhXgT3u7++Xos0Wi4V7772XiooKvv3tb6PVaqmoqODgwYPodDree+89yVevBAGXCI4E\nA58Q4tBqtaxbt45kMklTUxMul4uxsTGCwSAWi4XS0lI5+fhh/dgdcdJik8WXisViWCwWdDod27Zt\no76+nvfee4/9+/fLSODYsWP09vayd+9e5ufnb6pT36oJpxSJRJicnKS0tFSS2FutVrq7u1GpVJIq\ntbKyku7ubkKhkOQKSKfTa+YMFqmoGJYxGAx0dXVx9OhRRkZG+OQnP4nZbKa0tJTW1lauXLnC+vXr\nKSgooKSkhMXFRWZmZm7CL9+KCUev1WpxOp14PB5aWlro6OggFArh9/u5du0ajz76KBs2bOCjH/0o\nbreb5eVlOXmo5LDA6rLB8PAww8PDXLx4kaeeeor9+/dz+vRprFarVHkXEZPRaFzzOlbX4HU6HRaL\nBbfbjdfrlRSuv/u7v0s6nebKlSucPXuWYDBIXV2d5BMWF6hSJEsGg4Hc3FxisRiHDh3i8OHDHDly\nhLGxMXJzc6mrq5OOSJBxBQIBqqurFaFuhfdLLjabTQ6RzM7OEovFWFlZ4WMf+xj79u0jmUxKpywm\n8iwWC3a7XRE6BRHYialDu91OPB7n2LFjbNmyRfYIPvaxj7Flyxb5bul0OhYXF6UjXauJHsTMzAwL\nCwuUlpZKcQa3201LSwtGo5GBgQG6u7uxWq14vV5J9iSc+oexO+KkxaHNZDK0traSTCZ57rnnOH/+\nPD6fj7a2NlZWVpiamuKzn/0sfr+f5uZmcnJy6O7uRq1WK8KRm06nCYfDjIyMSPaqoaEh1q1bR2Vl\nJV6vl/z8fF577TU8Hg+nT5/mf/7P/8nevXvZt28f169fZ3p6WpGIPpVKkUqlMJlMzM7OolKpeOSR\nRzh27BiXL18mmUyysLDAv//7v5NOp7n33nvJyclhz549jI6OsrCwINnr1rIOwQ3i8/m4du0aHR0d\ndHV1UV1dzdatW9HpdIyMjBCNRnnmmWcYHBwkGAxKakglBkpEhhCLxRgfH5c8HY888gjf+973OHv2\nLABnzpyhsLAQq9WKxWKRKt2igbWmgYH/KPMIrmqv1yvlqOx2O01NTZw/f57q6mrKy8vp7+/H4XCw\nY8cOFhYWMBgMBINB4vH4msmNRPMpGo0SjUYZHBzkYx/7GP/rf/0vEokEf/zHf8yf/Mmf8PjjjzM5\nOclf//Vf8/d///d4PB5+9KMfUVBQgMlkWtMaAHnxRCIR3nnnHaLRKA0NDTQ3N2MymfjKV75Cc3Mz\nL774onwOmzZtwmg0yjFpMYW4VltaWiKZTJLNZtm2bRvJZJKrV6/yiU98AofDwZUrV/hv/+2/odVq\n6ejokHzTmzZtIhQKEYlEFCNpS6VSjI+PU15ezkc+8hFefPFFZmZmOHToEPPz8ywtLVFVVcX27du5\ndOmSvGxFyfbDXp53tCYteAYKCgrIZDJcuHCB6elpPB4PZrOZmZkZNm/eTG1tLS6XC6vVKke2lVJl\nERtUVFSExWLB5/MxPz/P9evXKSsr48qVK2g0GtavX08kEkGtVtPQ0EAymSQWiylSGxcpk5jwGx0d\nlYdpYGBARu1msxmLxYLFYmFqaopAIMCZM2dkNrJWE80gtVrNyMgIV69epbi4WMoxXb16lXg8js/n\nY2JigpqaGk6dOiXrwMJBr/UlFELD6XSa3Nxc8vPzGRoaYmhoiJdffpmZmRmampqorq5Gq9UyPDzM\n3Nwc4+Pjsm+hVENX1JUXFhYIBoOo1WqKi4txuVxs3LiR9evX43A4qKioIBwOk5+fT3FxsUQpCUey\nFluNoMhkMmSzWY4dO4ZarebBBx/k1KlTmEwm4vE4R44cYXFxUfKvCKcqztBa92J5eZlIJMLi4iL3\n3HMPzz//vOwZ+Hw+xsfHKSkp4bHHHiMcDtPd3S25tkVzT4mynMh4I5EINTU1sndVWVnJ6dOnZSn1\n9ddfZ2BggPr6elZWVsjPzyeZTBKJRBTjdxEosEwmw6uvvkpXVxf79u1jfHxcUsSK7HRiYkKOsqfT\n6Vvigr8jTlqMWAsImdVqZWRkRKYMAnZns9k4fPgwjY2NnDlzBofDwezsrOSNXetLKCLyvLw8HA4H\noVCIiYkJdDqd5C7OZrPs3r0bt9tNLBajsLCQsrIypqenCYVCinXNReQ2MjJCT08PdXV1+P1+MpkM\nCwsLzM3NUV9fLyGCHR0dUrPNbrcrwlshUlmRpUQiEQ4cOEBJSQlut5sTJ05gNBqZnZ0llUrR29tL\nMpmktLSU8fFxWatcq4nP0el0lJWVUVpayokTJ+jr60On0/E7v/M7aDQaZmZm8Pv9uFwu3G430WgU\nh8Mhv8dan42o5SaTSYaHh0mlUszNzdHe3i5VPwSV6//H3ptGt32dd/4fgNiIHSBIANwXcRNFSqI2\napcVO/Fu2VZiT9Mk0yZtTjM9E3fxNE2dSdJ4PO30pE1yksw5bdPYcZwqiRPXjh1FlhftkilR1EJx\n3xeQBAmCALEDJP4vNPcacjznjMWf9c8LPW8oyTRwf/d373Of+zzf5/vt7e0lGo2ye/duyTWilACC\nVqtleXkZjUaD1+sFYHx8nLKyMgKBAH19fdx55510d3czOjpKdXU1Z8+elTA8pQQyxLxms1nq6+t5\n4okn0Gq1dHd3MzMzw4kTJwiFQnz2s5+VsmuTk5OySKZUsV/A25aWllhcXESlUnH+/HlqamoYHx/n\nwoULuN1upqenGRkZwWQySRRSPB5XTDk9l50QIBaLMTExwcc+9jE+97nP8cILL1BSUkJPT4+kFRC0\nv0JM4mYO8FvGJ72ysoJer8ftdjMyMsLMzAzl5eWcOXNGKpCo1WqCwSC/+tWvqPw/qhyAxCyv9oWL\nE83tdkvax/vuu49du3bR29uL2WymvLycZ599lh/84AeSrrOqqooTJ04wMTEh+Z9XOw4xJ+3t7Xg8\nHo4dO8Zbb72Fx+Phl7/8pUQUVFVVEY1Gee2119iyZQtHjhyhurqa5ubmVWvYifxpUVGRTGE0NTUx\nOjrK6OgoNTU1FBUVcf78efr7+8nLy+Opp55icXGRqakpxa6yApJps9lobGyksrKSAwcOYDAYuOuu\nu6ivr+edd97h2LFjaDQadu7cSUFBAclkErPZLKv8q7Xl5WWi0SgLCwsMDQ2xd+9eZmdnOXXqFFNT\nU/T391NWVsbjjz/O3Nwc6XSa7373u9jtdh577DGp8bdaE7csr9fLpz71Kbq6uvjpT3+KVqvlnXfe\nobi4mLm5OQoLC/na174mC6xC3ScSibC8vKwYta7BYODxxx9n3bp1/NVf/RWbNm1i586dMu89NDTE\n3//933Py5En279/P9PQ0wWBQvhclDnLBwmgwGAiFQly9ehWTycT8/DzxeJyJiQmefvpprly5wtWr\nV2URT0h9KXFYiL4Kk8lEW1sbKpWK0tJSDh48SCAQoLu7G6fTyUc/+lE2bdrE6OgoKpWK4uJiTCbT\nTa+NW+akBfjd5XIxMjJCUVGRjFaam5tpbW0lFovx0ksvEQgE+MQnPsHp06flVU4It67WROTo9/sJ\nh8NSXWR4eJhXXnmFpqYmOjo6yMvLo6mpiVQqxdLSksRAKqWTJpAEWq2WlpYWSdxTXFzM/Pw86XSa\nQCBAW1sb8Xics2fP4nQ66evrU+zqJkxsJsHpPDAwgEqloqmpieLiYlkwEkXDoaEhVCqVovScgv1O\nENg3NjZiNBpJp9PyFtHQ0IDL5aKxsZFAIIDD4ZD0pkqYyNELGSar1cpjjz3G7//+75NKpfje977H\nunXrCIfDOJ1Oampq+M1vfsPi4qJkClQSry2Ck1AoxJkzZ/B6vej1evk96XSaYDCIyWSS8DybzUYo\nFCKdTksSops1ETGK73z77bfZu3cvu3fvZmRkRDYaiZuVUBQXzSRCUmy1lktzPDc3R29vL42NjSQS\nCS5cuMC+fftwOp14PB6ZBsvPz8fhcEi8thI3LXGz0Ov1VFdXk5+fz+joKNeuXSMej1NTU4NarWZi\nYoJkMsnQ0BDAqrnob2lOuqCggIKCAsrKyuTPz3/+83g8Hk6fPs3Q0BBvvvkmpaWlnDx5Er/fj81m\nU0wnTUyw2WxGpVJRWVnJz372MzKZDC0tLfz4xz+WVdhMJsNf/MVf8IMf/IBXXnmFwcFBXC6XYg5B\nXEsNBgM2m41Nmzaxb98+SktLaW9vp7q6muXlZWw2G+FwmAcffBC1Wo3T6aS0tFR2Hq7GREOMyIG6\nXC7uv/9+tm7dygsvvMBPf/pTvvCFL/Cxj32M+vp62tra+Id/+AeCwSCf+tSnSCaTklh9tSaga11d\nXWQyGbxeL1qtlsHBQQlv+5M/+RPsdjsDAwOMj49TV1cn85RK4KRzOX9ramq4du0aIyMjlJeXo9Vq\neeaZZ9i0aRNf/OIXcTgcuN1u9u3bh16vl6kggZZZjYnDwmg08vWvf53BwUHq6uqwWq3Mz89TWlpK\nW1sbn/3sZ9myZQsHDhwgPz8frVaLRqOR2N3VmphTr9dLR0eHLOz//Oc/58UXX+TRRx+Va0cIZZhM\nJqLRqJSYUopBUqvVUlFRIQvc3/jGN2hvb2diYoKdO3dy6NAh4vG4PJh6enqkfmgutehqLBcaKfoZ\n3G434XCYZDJJfX09Kysr/I//8T+kxJzA15tMJpaWltDr9R8YHXbLnLR4OCGRJPiAXS4XgUCA0dFR\njh49ClxX2r1w4QJFRUVS+UGJJgFxIjscDsmLK9Amk5OTkmD/xIkTMoK02+0yz2W1WhVrIFGr1ZjN\nZrZs2YLFYuHw4cMUFhaSSCSkVt3rr7+O0WikpKSEmpoazp8/L6WLRJS1WhMk+0Lbb3p6mp6eHjo6\nOigvL2dhYYFYLMb69eslGX5FRYWMcpXq9stm3yWLt1qtNDc3y5b0sbExhoaGqKurw+l0cunSJRob\nGykuLmZwcFB2CCoxBnHjc7vdTE1NyVZsAb8cGBiQeOGBgQFCoRClpaVcunRJSpApkWYQeNpIJILJ\nZJJiuKJTNx6P4/V6KSkpYXJykqKiIrmuBO+2EvMh9q1KpcLhcODz+ejq6qK8vJw1a9YQDofJZDLY\n7XYqKio4cuQIeXl5klJWCRP71uVysWnTJiYnJ6V24crKCjMzM1JB6NChQ3JfhEIh9u7dq2j3pTi4\nxsfHMRgMOBwOuS+ampqoqalh/fr1lJWVUVVVxeDgIBqNZlU3rVtGsCScWygUIhaLSZXhq1evMjs7\nK6PKe++9VypUC55YpdSxAameIDCtd999N/v27aOtrY0DBw5QWVmJ1WqloaGB6elpkskkZWVllJeX\nY7fbFYsMRDfdQw89RG1tLWfOnOHs2bPodDpqamo4c+YMfX198vSdmZlhfHyctWvX4na7FRNeFXnY\ngoICSSSvUqlobm7m/vvvl+9pdnaWc+fO4fV6Wbt2rYQQKnW9z1WDLikpwe/3Mzo6Km8PsViMzs5O\nzp07h8/nw+v1SmekRBt0Lkm93W6XPCF79uxh165dlJeXMzY2RmdnJ8XFxTQ1NbG4uCiFCfr7+wkG\ng4rd+rLZrPz+j33sY0QiEbRaLevXr5cNJp/61Kew2Wz09vaysrLC3NycJOJfbaoDbiTaN5lMlJSU\n4PP5SCQSeL1eLl26RCgUIhwOMz8/D1znHheFeaXSYbmHZ2NjIx6Ph2vXrklx1/7+flQqFbOzs0Qi\nERoaGlhcXCQej8uUmFJ4fgEFFH5Jp9PJA6quro68vDzWrFnD7t27JR97NpuVKbGbCSZuiZMW6ic+\nn4+JiQkptVNRUUFRURFWq5VkMsm3v/1tnnrqKYnF1Gg0ElGhVIFKtM+Ojo4yNjbGJz/5SRKJBEeO\nHGFgYICRkRGee+45du/ezTPPPIPdbqelpQW3243ZbFZMaFQcSnV1dfJ6KqL7Z599lvPnz/OlL32J\n0tJSOjo6OHLkCPn5+VRUVKBWqxUrlInGGIEmOH78OJlMhk9/+tMkEgnGxsa4cuUKr7/+OiUlJXzp\nS1/CbrfT09MjoyglTIxFq9XidDp58cUXee2116QajNFopLW1Vbbbnjt3jsHBQcU4IsT/bzAYcLlc\nXL58mcOHD+NyuaTo6B/8wR9IjO7p06eJx+M8+OCDpNNpLBaL7FZdra2srEhZqj179sgUwsGDB9m4\ncSP/9E//JLX+/H4/ZrOZy5cv09vbS1NTEx6PR5FIOpd8rKCggFQqxalTpygrK2Pz5s08//zzvPTS\nS5w7d052fN59991s3bpVol2U2C/CMU5MTDA6OipVk3bv3s0nP/lJrly5wltvvcUrr7xCdXU1Kysr\nuN1uHnvsMYmqUCrIi8fj+P1+ioqKqKqq4pVXXuE3v/kNHR0d/PCHP+TVV1+lpqaGrq4unn/+eYk+\nEjjt31l0h+i3F902o6OjBAIBqqurqaioYH5+Ho1GQ3V1NT6fj76+PjQajZToESRIqzXhHMPhMDqd\njomJCfR6PfF4nK6uLjZu3MgnP/lJuThra2tZWlpiamqKdDp9A2/GaseRyWQIBoOcPXuWkZER1q1b\nR2VlJUtLSzIPOjw8zPz8PHa7nR07dmAymWS+XKk8MFx3Cj6fj/z8fJLJJNPT09hsNtmWPDg4SHl5\nOb//+7/PwMAA4XBYXq2V4mUQiAZBzrNmzRp8Ph8nT55kZmaG6upq2bKeTCZZWVnB7/cTi8XksygB\nSYTrTVcmk4nKykrcbjd+v5+5uTnGx8d54403GB0dxWAwUFRUxNjYGIuLi5SUlGAymRTr8hOEX2+8\n8QadnZ3EYjFUKhVjY2Ns2rQJm83G9PQ09913H1arleeffx6DwSDXs1LCq+J6b7fbWVlZobKykvXr\n18vmr127dvHwww9L7PTMzIxMZyqlFg7XGSqDwSA+n0/mg8Xh+OSTT9LT00N/fz8TExOk02nuvvtu\nioqK6O7uvkExfLUm9q7QfMxlhjSZTJSVlTE8PMyFCxeYmZmRUbwoit8MTPOW5aTFBLW0tLCyssKr\nr77KpUuXKCkpIRqNYjKZePnllxkcHCSVSuHxeGQRJLcJZTUmIpTe3l4sFgsTExP8zd/8jSzePfnk\nk8RiMU6ePElFRQXpdJoXX3xRQgSVImgR7enz8/P84he/YGFhgYcffph169bR2dnJ66+/zt69e3G7\n3axZs4ZEIsHJkydlB5pSUYHINwoimkQiAcDRo0c5dOgQDQ0NPPDAA+zevZvZ2VleeuklQqEQOp0O\nvV5/Ayvfakw4fIfDQTAY5Nq1a5SVlWG32xkdHaWtrU2mnx544AGsVitnzpyR6QYlyXOSySRzc3Nk\ns1nWrFlDX18f3d3djI+P09/fz8rKCvv372dqaoqenh50Oh0WiwWn0ymFgldrAuYFcPjwYQwGA1/6\n0pdYWFjg1Vdfpbi4mHfeeUdyvPzoRz9ienoavV5PMBiU60uJ9yLSOaLALKCxCwsLMh/7p3/6p0xN\nTeF0Otm2bRtGo1HCQ5VqkRcEVh6Ph3Xr1nHgwAF+/vOf8/LLL/PII4/g8/kwmUysWbOGgoICgsEg\n7e3txGIxxVr14fpNq6CggLGxMXlYC46OpqYm0uk0vb29Usc1mUzKPXuzBcxb4qTFwhXO1uv18tRT\nTzE9Pc3w8DDXrl2jtrZWsmiFQiEZLSrNKiZOQoPBQFNTE1NTU0xPT6NSqRgdHWV4eJiLFy8yPj4u\noVZmsxmDwaBYPlpE6tlslvz8fGprayktLSUajbK0tERLSwsul4urV6/KSCQXSiSeY7WW26IqIqVQ\nKERDQwORSIR77rmHtWvX8rOf/YzR0VEKCwtlJ5tY9EoRPQmsdElJidwI4XCYSCTC0tISfX19lJaW\nyigtmUySTCYVp8IUz2I2m2VFXrSJHz9+nJmZGVwuFyqVCpvNdoMGpZKiq6Kl2u124/V6sdvtXLly\nhXQ6zQMPPMDy8jKHDh2SXNIVFRUSKik+Q4lxiIKuSJ8IlsL8/HwaGhqksntFRYXsjhV5bKWiaJEb\nt1gsuN1uiouLWV5elmRcp0+fJhAIUF5ezuLiouQbFwVxpdaIGId4L8L5C37x+vp6CgoKyM/Pl/lx\nIZgrIuibGcstxUlns1nm5+cJh8P09vYSCATw+XwykhWRHNxIuK4kJjjXLBYLdXV1FBUVodfr8fl8\n9PT0yEnX6XQUFRUp6qBzTRxaYrMLLo+Ghgby8vIYHR0Frl+jRFcboFiOHt59N2azGaPRyLp16+S1\n2el0SppYETnndhkKqJhS41heXpbcyRMTE4yMjDAxMSHTTGIsgPypNIezMMHbLMYkDjCHwyG7Vp1O\np5w/pQMJeLf5KpVK8fOf/5yOjg6ZAvT5fPj9folTFk1WHwa3tnB0Go0Go9GITqdDq9Xi9XrJZq8L\n5Ar+FXFwipSNUhFsbmE3GAzy6quvMjY2JpnlBP9MLjxOwCGV5IAXnyUauUQQsbKyItvPBcROYPhX\nizy6ZekOsaEFrhLAaDRSXV1NXl4ei4uLLC4uyuhOvJQPw0ELhyDyfKLYMzo6islkorW19Qa+ZqU3\noTDx+cFgkGPHjslnFQ0BghEul8RIyQWXa4lEgmQyycLCwg3fsby8TGFhIS6X6wYkxYcxBkAWerLZ\nLCUlJZSWlt7Qjjs5OSkdgJJRkrDcvHQqlbqBJtNms6FWqxkYGJBBhJIsgO81obSSyWSYm5ujvLyc\niooKyeW9YcOG33r+D2O/iJqSEKbI/ff3fmduK7nSZPvADbw1QngBkP0UuXSi7x2nEvbezzKZTDQ0\nNADXb7sC4SMCHfH7q0lR3lYLv2237bbdtt9huy1Ee9tu2227bb/DdttJ37bbdttu2++w3XbSt+22\n3bbb9jtsH3rh8JlnnpFJb8ErndtEISrGy8vLEo8pfkcUhnILZ1/+8pdvqgrwz//8z+8rUQ/vEuu8\nl0hfMG+JP+faH//xH9/UOL785S+/bxFgZWXlBh5gwWqWTCZlO6mYm1x75plnbmoc3/nOd+Q4RLFF\nvA94l5VO4DxF8VQUQ3ILRAD/9b/+15sax1NPPfVb8yHWSW5hymKxkJeXRyQSkWgT4Lcae55++umb\nGscXv/jF910f75XVEhweQj0FeN/38u1vf/umxvHd735XjiP3M9+v8CQ4NQTM6/0KZH/6p396U+P4\ni7/4i99aH2JPir0QjUZJJpMSUZHLoSKKvcK++c1v3tQ4nnzySTkOsQdyIZti3SYSCSkcLIRigRt4\nvtVqNf/wD/+w6nUqxiB0WwFZULVYLOj1egkBhBv59MXvf5B1ektZ8HI3XjKZlHAii8XC0tKSJPhX\nqVTY7XbJopUL4VPKRAXYaDRKGI9gyVOpVLJjSjiBDwNJkGtC+SUej2O32yXLWiAQkGofSrT6vp8J\npys06nQ6nYT9BYNBKQK8srKCzWaTvyNQHkoXnwXMT3S7ORwOCgsLmZ2dlexwFotFqmIr1Zqea+KZ\nhHMyGo2YzWbi8Tg+n0+y/1mtVgn5UtpynVxui/Xi4qL8s3BcovkllUopqhIO7+4VgdgQB7kg4a+t\nrcVsNkuY4nvRHkqOQxycgvBMtOz7/X4WFhYwGo03vAulobO5AYTYM4LueGVlBavVSjabJRKJSJy0\nWq2WIsU3Y7fUScO7cJ5QKITZbKakpITy8nKmpqYoLy8nEokwPT3N3NycpF78sByBwDumUimmp6dZ\nWlpi69atbN++ncXFRQYGBnjzzTclD7aYZKVa1MVcCFatQCDAysoKVVVVVFRUUFBQgE6nI5VKMTMz\nQyaTkYeIUvAm8Syii9DlcmG322XTysDAgKQkjUajEsec2/KrNAxNfF48HiccDuNwOIjFYvzjP/4j\nmUyGu+++m/vuu0++M6XXh6APSKVS0inl5eURDAYJBALMzc1JKOLKyopkvlNyfeSORRwGJpNJckeI\nA3t8fJxIJMLevXsxGo0sLCxIRRQlnHXuM+Xn51NaWordbsdkMnHx4kVmZmbYt28fHo+HRCLB22+/\nzdzcnPxupZvR0um0bGRxOp1YLBb6+/uJRCKEw2E5ZkH0ZLfbJR+9UvMhmo2EHqY4JCorK9FoNLz9\n9tskk0k0Gg2Dg4OYzWa2b9+OyWS6qe7HWyafJbCv4vQpLS2lrq6OgoICfvKTn1BfX8/27dvx+XxU\nVVXR19dHOByWp7dSTFZCLy2RSOByuWhpaZHOcceOHaysrPB3f/d37Nixg+rqahobGyV3iJD6UsJE\n6qC6uhqTyURxcbGUhert7eXIkSNcvnyZRx55hPLycgni7+/vx2azYbfbV63MAu8Suy8sLDA/P8/0\n9DQ7duxg3759HD58mEgkwsaNG9m0aRNut5t/+7d/Iy8vTyqT5OfnrzqKzE1niUYRcX3Ny8vj0qVL\nJJNJ7rrrLvR6vdwM4+PjJJNJGaUoSY0puh6FavrCwgItLS3ceeedUvEjGAyi1+sZGxtjfHwcl8uF\n0+lUjP0tk8kQDoelEnZPTw/Dw8M0NzdLtfTf+73fY3h4mNdee43m5mai0aj8/dUe5EIAQThorVbL\n7OwsU1NTuN1uysvL0ev1nDx5UhIflZaWMjk5SSAQwOPxKDIf4jBMp9NStq2oqIgLFy4wMTHBvn37\n2Lp1K11dXXR1daFSqfj4xz8ub6HCQSvFsS2YGp1OJzMzM8zNzUml8gsXLjA0NIRGo+H+++/H4/Hw\nm9/8Rvqb3JTQ/6vdUj7pTCYjWe9isRizs7NcuHCBZDJJbW0tp06d4oUXXqCoqIhdu3YRCoWYmJjA\n7XYrJgUkmiWCwSB2u52amhpKS0spKipiaGiIyclJ2VTjdDrZunWrFIiNRCIAilxtRS6+ubmZvLw8\nuru75ea/du2aVM1eWlpiaGiIdevWUVxczNjYmOLNNZlMhmg0SjAYxOv1sm7dOnQ6HZ2dndjtdrq6\nuqRUUXt7O2vXrsVgMCiqiCKanPR6vWxystvtBINBvve972GxWHj88cdxOp2kUtXN9qcAACAASURB\nVCk6OzsZGxujqakJk8kkr5xKWF5eHm63W0auDQ0NNDQ08JnPfIZ4PM6hQ4eYnZ0lGAyyceNGFhYW\n6O/vl01ISliurh+A3+8nk8nQ0NDA5s2b+cUvfsFzzz3H1q1b2b9/Pz6fj4qKCtrb28nPz1eMUCgv\nL49UKiVvU8PDwzidToqKijh27Bjd3d18/OMfJ5PJcPnyZXQ6HclkUjp4peZD5KBramooLi6W+pNe\nr5fu7m6ef/55/uiP/gij0cjMzAxms5m+vj7GxsYkP41SXPCCsVEID4ubw9GjR5mcnOThhx/m4sWL\nZLNZHnvsMZLJpIyigQ8c6N1SJ200GiktLZUtlUKY1uFwEAqFOHbsGL29vZSVlVFbW0s2m+Xs2bM0\nNjZSU1OjyIkMyPyuRqPhO9/5DsvLy1itVnl9MZlMTE1N0d3dLf8uUhNKXK1Fy7kQqDx69Cjj4+M8\n8cQTUp7+0Ucf5XOf+xxvvfUWR48elXPW0tJCMpm8oXC1WlOpVNTW1lJRUUFnZyeHDx8mlUrx4IMP\nolKp+OEPf8j8/Dw7d+7kE5/4BBqNhsXFRSn0qQR3RyKRIBwOyxTH9PQ05eXlnD17VkbPb775Jkaj\nEb1eT3t7O0NDQ9x3332o1Wp8Pp8icyHyiWNjY1itVjZt2kRJSQlvv/02X//619m6dStbt26Vath2\nux2n08n69esxmUwYDIZVOybR6q7RaKTwxYYNG9i8eTPHjx/n/Pnz3HPPPRiNRjweD6Ojo3zuc59D\nrVZz4cIFyfuh1PU+Ly8Pq9WKTqfDaDSSTCZpb2/HaDTyxS9+kerqao4dO8a+ffsoKysjHo/T2dkJ\noBjplLCtW7ei1Wp54okn+NznPseBAwfYvn07u3btYtu2bbz11lsEAgF+9rOfcfnyZdRqNVVVVZSU\nlKzaSec66LfeegubzUY2m2ViYoIdO3bI2259fT0bN27E6XQC0NrayqlTp8hkMjgcjg88H7eMYEk8\nnCAzqqyslJXh6elpyRkrorq3335b8gHEYjHZBrwaEws/Pz8fi8WCzWYjFouxY8cO6urqSCQSjI6O\nysLM2NiYJPx3uVxMTEzIsazGROSYTCa5du0a77zzDtu2baOsrIxTp07x61//mm3btknFB51Ox8zM\njCyMAIpswNwWWrPZTDAYlIK8VVVV7Ny5k8HBQZLJJFNTU2i1Wpqbmzl//rxiUSu8W5gSB7ff7weu\nqzEPDg5yxx134HQ66enpYWFhQRY1hfCrUPlerQkyIaGT19jYSH19vWyZv++++9i8eTNnzpxBq9XK\nAyocDlNWVqZo0U44R71ej8ViobW1FZ1Ox+XLl9m5cyd79uyRaYX+/n68Xi8+nw+fz0dpaakMLJSw\n5eVlIpEIOp2OkydPSirbz3/+8+h0Or75zW8yNjbGQw89JPk7LBaLpAhVQpBBpCtmZ2eZmZlhcnKS\nUCjE22+/zc6dO9m/fz8vv/wy8Xic7du3S27ypaUlLBaLIqlBsW8TiQRDQ0MYjUbpdM1mMx0dHUxP\nT3PnnXeyZcsWAMbGxuS6isfjklrgg9gty0kLOSDBw2q1WtFqtZhMJnna2mw23G43+fn59PX14XK5\n5O8pke4Qk6PX68nLy5P0jhqNhv7+fpn3zmazzMzMSNiV0+nEYDDICvtqN6KoyIdCISYnJxkYGKCh\noYGuri6OHz+O1Wolk8nwj//4j3R0dNDQ0MDQ0BDBYJB169YpVigTThGuIwbm5uaorKxEq9Xi8XgI\nhUKSTF6IbA4MDHDx4kVJSqUUyZK4zlqtVlKpFHa7nWw2i9lsprq6mkAgwNjYGKlUCqvVClznawAk\nx/ZqTazReDyORqPB4/FIBrPNmzezdetW5ufnuXr1Kl6vl6WlJYLBIFarFafTSTAYJBqNrnoc8G7t\nJBwOS1jX7OysHFdfXx8TExOoVCoCgQCJRIL29nZCoRAVFRWKFbdFcBWNRllZWaGnp4dQKERdXR1H\njx5Fp9PR19dHUVERbrebrq4uKdIgDjclTKwxURStrKyUyjwbNmxgYGBARrRms5lUKkV1dbVMEylh\nublxwfPe2NgoKZBVquvizVarVR4ogvtGSLDdTKB5yyLplZUVDAYDQ0NDBAIBDhw4QCKR4MyZMzz7\n7LPs3LmTiooKysvLqaurY2ZmhtbWVk6fPk0wGFRkHLk8u4ODg4RCIQ4ePMiZM2fo6uris5/9LJ2d\nnbzwwgs89NBD3HffffJ0TKfTLC0tKQbFSyaTMudus9no6+vjzjvv5Ktf/SrV1dV0dHQQjUbxeDwY\nDAappybQKEqplovK9/Hjx3G5XHzrW9/i1KlTLC8vc+XKFRKJBH/+53+OXq8nEonwgx/8gGQyyd69\nexVFmIj0k8ViwWw2s2HDBo4dO0Y6nebEiROygFlfXw/ACy+8QGNjI6lUSqq+r/ampVarZeFSFHS/\n+c1vSuX2//Jf/gvBYJADBw7Q09PDmTNnuOeeeyQsy2azKeKkBfRTHJz19fWcPn2anp4ehoaGeOml\nlygrK0On0zE1NSUDCHHLENjg1QYTIhhIp9Pk5eVRXl7Oo48+KvPUf/iHf8iePXv47//9v0skVCKR\noKKigqqqKrLZLLOzs6t21OIGnMlk2Lx5M42NjTIdZrfb+frXv05hYSH79+/nJz/5CcFgkLvuuguX\ny0UqlVIUISZuOG63mzvvvJN7772Xl156Cb1ez549e7h27RovvfSSlLlraWmR9S8B9/2gh8YtzUkb\nDAaJhxaJ97m5OVpbW9m2bRvt7e1oNBri8ThFRUU0NTXh8/kUK4IIU6lUFBUVUVRUhMvlYnFxEbjO\nIex0Otm8eTN1dXU4HA7Ky8vRaDRSLUbk5lZrudAql8sl86AAp06dwmQy8fjjj3PlyhWy2aysDIvF\npgSaQSxaIUDgcDi4cuUKL774IvPz8+zfv581a9ZQXFxMJBIhm81Kzt73wvBWY7nPIjCw27Ztk8ow\n4kBrbGxkx44dspBZW1srKSKVMHFo5efn4/F4MJvNuFwurl27Rm9vr8yZJ5NJIpEIGzZswGg00tPT\nQ3Nzs6JwM5VKJb9HNKqIG2V/fz9DQ0OkUinMZjPz8/Ps2rULj8fD/Py8Ypjt3DSUw+GgpaVF0gyr\nVCq8Xi+Dg4P8+Mc/RqvVotPpaG5ulrhtUXNSKppWq9USARUIBBgYGMBoNEoH3dPTw/z8vMyNB4NB\nIpGIvHkpNQa1Wo3H42HTpk0sLy9L3Vafz8f8/Dz19fU3INOmpqakTqT4jA9it8xJazQa3G43breb\nRCLBN77xDcxmM62trezfv5+hoSHuvPNOCQN79dVXcTgcbNy4UTaXrPbaInKwRqORBx54gGQyyXe/\n+11GR0fR6XSMjY1RUFBARUUFfX19/Mu//At//dd/jclk4tlnn6W2tlby6a7WBNqlqqoKk8kkC18i\nBeRwOPjKV75CLBbjiSeeYGZmhlQqhcPhuIHjWIlxADQ1NdHQ0MDU1BSTk5OMj4+ze/duMpkMr7/+\nOlevXsXlcvGXf/mXvPrqq8zNzWE2mxVDmoiITafTEYlE+PGPf4zf72dwcFAWZ7xeL52dnXz/+9/n\n7rvvprW1lSNHjtzAd71aE+t0w4YNsv5gMBi44447ZMFWr9fj9/u544476O3tZXh4mHQ6rUgRVZjo\n+ATkQd3Y2MiuXbs4ceIEIyMjuFwuysrKePPNNzl69Cg7d+7E7XZLTuPVHl4iGBAY8dnZWbZs2UJD\nQwMlJSW89tpr/PM//zN/93d/R1VVFd/5znfkTdPhcEhh4fd28t7MXCwvL6PVajlx4gQXL16U1KmB\nQEBywjc0NLBhwwYmJyepra1ldHQUn88n0w9K3LQEdNbhcDA8PMxPf/pTTp06hU6n47HHHmP9+vUS\nANHY2Mi1a9cIh8OysHgzt+Bb5qRVquvE8mvWrKGwsJBjx45hMplwu9288sorRCIR7r77binLk0gk\nGB8fp76+XmrvKWErKysylzo/P8/mzZt58MEH0el0nDt3DrVaTW1tLeXl5YRCIdLpNJFIhMLCQpxO\npyIFCHgXi2uz2YhEIszPz2M2m6XCMMDg4CAejwebzSb14zQazU1dmf5vYxDFqZaWFtnhuXXrVurr\n60kmk/JwaG9vx+PxyI4ul8slK/1KqcRkMhlMJhPT09M8++yzuN1uKisr8Xg8TExMUFBQQCKRYHFx\nEavVit/vZ2ZmRhYSlRiDSqXCarWysrLC5OSkhDzW1dXJ6LGkpIRXXnmF8fFxbDYbtbW1AIqqp8O7\nohQi1SYKZl6vl+bmZv7n//yfVFRUUFJSItep2WwmFospertYWVlhdHSUUCjE5z//eXbs2EF+fj7H\njh1jaWkJp9NJb28v0WhUqqaIG4BSfQVinZ44cYJMJkN+fr7USt26dStNTU1S0f3kyZO0tbVhMBgk\njl8p8RBRl1pcXOT48eP09PQQjUYpKSmRxX2DwcAjjzzCnj17OHv2LNFolIqKCqms/juZ7hBXtby8\nPGw2GyUlJbzzzjskk0nm5+eZmpqSxbGlpSV27dpFe3u7rKbm9siv1sQpJiKg1tZWioqKGBwclPhP\nlUrFmjVr+NjHPsbExITUOBRdh0osPOEgBTje6XSSyWTo7e1lYWEBt9tNQ0MDbrebVCpFNBqVDQy5\nrfJKjEG0WY+Pj6PX66VjCAQCUnmjsLCQ0tJSqRlXXFwsuyVXOx+iGJNMJmUxyGQycc8997Bhwwbe\neOMN2ekHSJz9+Pg4KysrN6jWKGEqlQqfz0ckEqGlpQWdTkd1dTX/8R//QXNzM9lslv7+fkpKStiy\nZQt5eXmEw2FFnbRQjrfZbDKtMTU1xYULF2Qu/uTJkxI+2dPTw9TUlHxHSq5RUTwMBAJMTU2xtLRE\nKBRieHiYhoYGhoeHeeONN2TDz/j4OOPj4+Tl5Sl2WGi1Wsxms9ynra2tdHR0sLi4yN69e5mYmGBh\nYYG8vDzKysqYmppCpVJJsYrVFvxz28EFZHR+fp7S0lI2bdpEVVUVwWAQj8fD3r17aW1txev1Sr1O\ncaO4mdvvLXHSufCZkZER9u/fz9e+9jV++tOfMjIywtNPP00ikeDQoUM8/vjjbNy4EYvFIivXSlXv\nhQm135mZGY4dO8bU1BQDAwMUFhayvLzMj370I/7lX/6FLVu2cOjQIXbu3MmWLVuIRCIyul6tievs\n8PAwDoeD9evX09PTQ19fH3V1dTidTr71rW8RDoe5evUqU1NTFBQU4HA4ZOOHEukOkYNNJBLMzMzg\ndDqZnZ1lenqampoaCgsL+chHPiKFeLu7uykpKUGj0UgnroQJ6KXf76eoqIinn36ajRs3MjMzw44d\nO7jrrru4cuUKWq2WO++8UzpFMS4l2n5F1LiwsEBnZycVFRUUFRURj8eZnJxkenqa2tpazp49y+bN\nm9m1axejo6Oy+Gu1WiVEcrWm0+kwm80sLS3R29vL9u3baWtrk+ibjRs38v3vf59wOMzo6CgLCwsS\nIiqCotUGNsIZJRIJGhsb2blzJ9XV1fKGkZeXx4YNG7h06RIajYaHHnqIV155hdOnT/PRj36UsrIy\nSQK1GhMpShG4WK1WGhoa6O3tpb6+nsuXL/PLX/6Sn/zkJ3z0ox9Fp9Px3HPPsXHjRurq6mQQsJr5\nELlosecqKysxGAxUVlZSVVVFIpHA6/VSXl7OpUuXZPpL7G+dTvdbZGD/r3bL0B3pdJqFhQWGhoZw\nuVwcOHAAu90uT9rx8XEppfXKK68wPz8vu3kE/EeJcQhsrdPplJpkGzdu5J577uEnP/kJ2WyWtrY2\nbDabLBYJCFIikVDssBAvXavVsri4SF5eHn6/X0Yvgqjm6tWrHDlyhOLiYsrKytBqtTJXutrFLxZv\nPB4nlUrhdDoJh8P09fWRzWa57777cLlcLC0tMTs7SyqVoqCgQI45Ho8r9l5E6//i4qIsDo2MjDA+\nPs7DDz8sMbEej0fixoXWnpIHuEAAic8V0D+A6upq3G43mUyGmpoaXC4XFy5ckNV7JTlEBHfIxMQE\n7e3tZDIZysvLqa6uJhaLYTabZSu/wK+LhitBY6CEidvS0NCQvOG4XC6i0SgvvviivPnu2rVLtq4D\nN0hHKTWOSCSCw+EgEAjQ29tLSUkJjY2NxONxvvCFL5DNZvnBD37Ar371K3bv3k1paalEoihh72Xx\njEajXLt2DZPJRFFREQ6Hg0uXLnH27FlsNhv5+fmSKdDpdN50Su6W4aQBCW7/1a9+RVdXFy6Xi927\nd8sc5/LyMq+++irz8/NUV1cDMDMzo9g4crGWKysrmM1mfD4fKpWKkZERysvLefLJJ/nqV796w/gE\niYpSHX5iLHq9nu3bt1NQUCCLPZOTk/zrv/4reXl5XL58mRMnTpBMJvmbv/kbrFar5A9RYgOI4mUw\nGMTv9xOLxeSmLy8v54UXXiAWi7Fp0yaZLxbshcKUggKKXLder8dqtZJIJDh16hSTk5MsLy8zMDCA\nxWJhZGSEa9eu4XQ68Xq9hMNhxfKNYk7z8vJoaWmhrKyMhYUFkskks7Oz1NTUEI/H0Wq1FBYWotPp\nqKqqwuFwyC5SpUzklZeWligoKMBgMODz+UgkEhgMBjKZDGVlZTQ2NpLNZrl8+bIcm1LcIXDd2Yrm\nmGg0yuzsLA6HA5fLxR/+4R+Sl5fHuXPn6O7uJpvN0traisFgoLi4WLHDQuiRRqNRRkZG6Orqwu12\n86lPfYpoNMrhw4dxOBxs2bKFtrY2vvKVr2AwGBgcHGRqakoWQFdr4llUKhXr16+nubkZv9+P1WrF\n7Xbj9/t5++23qa6uxmw2SzpTcXiLffM7ie7I5Y8W7ZmxWAy9Xk8ymeQ3v/kN8XhcNrJ4vV6ZmxQT\no1SEIj5PLOiHHnoIg8FAe3s7BQUFaDQa6urqcLvdskX7w9CBFLlckTIQXLgtLS184hOfIC8vj76+\nPmKxmEQVRKNRSaGqhOXScVosFgCpEm42m0kkEhiNRtngI24UAtes1LyI2oPAbPt8PkZHR8lms9x1\n1108+uijDA4OcujQIcLhMFqtFrvdLp2RkuOA6+9maWmJgYEBent7CQaDlJeX85GPfIShoSGmp6dl\nVJWfny+DD6VpOVdWVrBYLKxZs4aSkhIWFxcxGAxs3LhRHqwCIy4KuEpSc4rn0Wq11NTU4PF4aGpq\n4uzZs/z7v/87gUCAwsJC1Go1JSUlFBYW4nA4JPRMqfkQ+WTxfIWFhYTDYY4cOcL09DRr165l7dq1\nfOITn6CiogKNRiM7h0VHqlLkbGKNpNNpXC4XBoOB4eFhWU8T7y0QCMh6D9xINftB7ZZSlWo0Gsxm\nsyyGpdNpRkZG6O3txe12YzQacblcMn8kXrTSNJS57GJarVYucq/XSyAQkK2bohVWyQg61wQ+eXFx\nUW6y0tJStm3bJlM9FRUVshCkFP2ksFwyd8EN4na7JWJgzZo1hMNh/H6/pOwU7+XDoI4VzxYKhfD5\nfBiNRmw2G4cPH8bv9xMIBNDpdHg8Hux2u+K8EMLEgRQKhRgdHSUej2O1WiXuVvz3hYUFuVY/jINc\n4I3tdjter1eS+/f09Mi6gc1mk7SZSlLY5o5BPJ+4aQGsW7eOoqIijEYjs7OzGAwGjEajvKUq+V5y\nMfTivatUKjo6OmRn8vDwMPF4XBaTRbFTaa5xcRgvLi6SSCSIxWLMzc3JG53D4ZCop9xbzWrm45bz\nSefKsAsH3NbWJq/ewnEK+7AcpCBLOXfunPz7wsIChw8fBiASiUinkds+raSJNmTRrKBSqZidneUX\nv/iFzC96PJ4biKGUNuFcxKmvUqmYmJiQLcei4SZXXULpg1OYcAYqlYqSkhIASeaezWbR6XS43W45\nV0pGru81kZdua2uT39Xd3S3fhd/vZ35+/kPj1IZ3UVFqtZqpqSn5b4Kl0eVyyd9ViiXy/Uy0Pcdi\nMaanpwHwer2y1iSu9iL3q7RAhphbtVpNQUEBBQUFMl1ZVVVFMpmks7MTh8MBXKfdFd//YXCd5xZU\nRX3L6XTeoL6SSqUkzeuqC6cfxma7bbfttt2226aM3RaivW237bbdtt9hu+2kb9ttu2237XfYbjvp\n23bbbttt+x22D71w+Gd/9me/lfTObRMXxQchf67X66X4aq4uorB/+qd/uqks/H/7b//tt8aRCxXK\n7VozGAxyfKJa/V7Gt//1v/7XTY3ja1/72g3jyEVYiM5M0aQhmkVyix9Cnl7Myde+9rWbGsfTTz/9\nvvMhuhmFCo3geBbNHaLJRqA8hD311FM3NY4vf/nL/9f3ImB5hYWFrKysyAq+VquloKBAFnRzi7rP\nPPPMTY3j61//uhyHKIzmIhvi8ThqtRqTyUQsFpPzIApG77WvfvWrNzWOb3zjG++7X3LnW2gYTk9P\nS5iZxWKRdK+56/QrX/nKTY3jC1/4gvwQMRfip+COEYVsi8WCRqORjITvV2T//ve/r8i+FXtV0Lkm\nEglsNhs2m435+Xmp0C0oHMSaFnaz+/Zb3/rW+67TXFSSYB9cWFgA3iVLA37LfzzxxBP/z+P4/0Ut\nHN4VdNTr9QSDQZaXlykoKKCwsFCKe76fk1bSBO9DLveDVqulsrJSdpCNjIywtLQkW8GVGsv7OQFB\nku7xeORmU6vVcgMIwdYPYz4EvC8YDBIMBgmFQhgMBil4u7KywuLiIn6/X/67GP+HMY7l5WXpjATB\n/vDwMPPz8xiNRtavXy+dg5JSYmIMcCOySKPR4HK58Hq9TE5OSoY30bkqKvlKm4DVmc1mSRRUXFyM\n3W5nfn6ecDjMysqKFEDIxb4r2Vsg1p0IYNLpNNFolLy8PKksHwqFJPm9ksLA7zXROSz2S2lpqeyC\nDAaDEuqrUqnkeJTGsYvPEwGcmBuhuCRoja1Wq+wvuNm9e0tZ8ARGWYiGCgxyd3c3Go2GO+64QzKa\nxeNxIpGIxH8qBYMTEyU2di4389zcHCsrK8zMzLB27VoqKirw+XwsLi7KRhfxGUqZcMKC1N9oNNLW\n1sb09DSHDx+WeoxNTU3SiQoOACUdpMD+zszMEI1GsVqtPPjgg5SXl6NSqbhy5QoDAwPMz8/jcrkU\nPyzEOxB8zaFQSCroeL1e4N3ORHHbEGRCS0tLikpXwfVmJ/HZoVCImZkZ1q9fj8Fg4OWXXyaZTLJ9\n+3b0ej2BQEDiYpXklBY3Co1GQ0FBgSRyEsT+RqNR4uiXl5dv4F1XqttPvGexV4T6jM/n49q1a1RW\nVuJ2u6ViTXV1NYWFhZJvR0nYqEp1XbXcarXKhpVMJkNbWxtlZWXMzc2RyWQwGo3U1dURDocJhUKK\n4rZzDyyh0JJMJtHpdNjtdpaXl5mbm5PK8UVFRczMzLC4uCgPr9/JjkOxWAR5zfLysmxnXVxcpL6+\nHo/Hw8zMDLOzsxQVFTE3N4darZZk90pFS2KSdTodOp2OkpISstksc3Nz5Ofnk81m+d73vkdRURF7\n9uxhYGAAg8HA7t27FY0ORITkcDhktBoMBgmHw/z93/89CwsL/PEf/zFzc3P8+te/ZuvWrVgsFi5e\nvCgpTlfb/is6qMRVzGQy8Xu/93vodDoCgQDHjh3D4/FQXFzM2bNn8fv93Hvvvbjdbqanp4nFYopo\n2Im0l2itzs/PJxaL0d3dzYkTJxgaGqKnpwePx8MXv/hFFhYWSKVSbN26lSNHjrC0tEQ2m101Vlgc\nfCKtY7FY+OQnP8nAwABHjhyhqamJ+fl5Pv3pT1NbW0tnZyfT09OSi9xisWCxWFZNup9LX5BKpSQL\n4WuvvUZ/fz8PPvggP/vZz3j44Yc5ePCgbAu/evUqMzMzUgVEifWRl5cnu10Fb/f8/LxUatFoNIyN\njTEwMEB/fz/33HMPHo+H48ePk0ql0Ol0iogQCCKw7du34/V6+epXvypZCQXZ1C9/+UsefPBBCgoK\n+Pa3v43H4yGTyeB0OnE4HIpgyUXkLG5TpaWlUiAkHo/jdDqliIdoEy8oKJAivjfzTm6Jk86NPEtL\nS6XiRSwWw2KxcOXKFY4fP45Go+Guu+6itbWVpaUlqUid2x6+GhMnmUajwel0SlC8IEM5deoUarUa\nu91OdXU1dXV1qNVq2ZoteKiVipQET/Dy8jKpVIrBwUFGR0eJRqOsWbOG3bt339CGGgwGmZubo6Cg\ngPz8fEU2oRDWTKVSVFVVYbVauXTpEt3d3ZSXl9PS0sLFixelLJK49djtdkU7uoSyR01NDVVVVYyP\nj2O1Wpmbm2PNmjU4nU6mpqZYWVkhGo3yzjvvoFKpGB0dJZlMYjabFdmEoi4heDk2bdpER0cHS0tL\nTE1N8dZbb7F//34cDgcdHR1UV1dTW1vL7OwsOp1OsY4/wVcRi8UoKChgeXmZxcVFKisrycvLY2Ji\ngqWlJTo7O1leXsbpdEpaX6UEEIQQQyKRYGFhgfz8fLlWdToder0es9nM4uIiIyMjMk0m+NFFema1\nlhukJZNJFhcXmZqawmq10tzcLDlVDh06hF6vx+PxEA6HZUOUUgpCIqgR5Fcmk4mamhq0Wi3BYFAq\ntrzzzjtSAMJoNFJSUiJ56EUm4YPYLePuENc2h8OBz+fj9ddfp6GhgXQ6zcWLF1lZWaGuro5kMklH\nR4dUBdZqtbL9dLXOUQjLmkwmmpubMRqNnDhxAo1Gw+zsLH/1V3/F/v37efrpp5mZmWF4eJhwOExR\nUZF07jdLN/h/G49Wq8VisUh1mlOnTjE7O8vk5CR9fX1SBeOHP/whHo+HkpISjEajItfZlZUVyXA3\nNDTE4uIily5dApCk+gsLC4TDYWpra9m7dy/f+973sNvt3HvvvajVaknMtBrLpRldWFjg/PnzNDY2\nctddd/HLX/6SS5cuUV5eztDQEMePH8dms5HJZBgYGJBio0pwSotiVCgUYnFxEbvdzu7duwH4oz/6\nIzo7O0kkEgSDQV599VWmp6e56667pDq2knwVwhHEYjH8fj/d3d2cPXuW/VW5HgAAIABJREFUoqIi\nSktLeeyxxygsLOStt97CbDazb98+WagSRd/V8ngIR5+Xl4fT6cRqtfKjH/2I5eVl6uvrKS0tpba2\nFpXqOv/6vn37aG9v5/Dhw7S0tMhi82r3i5Da8/v9jI6OSnra5uZmDh48yM6dO1m3bh1vvPEGDocD\nh8OBxWKhtLRU8nYosV9yUx01NTU4nU4mJydpbGzEZrNx5MgRZmdnOXPmDJ/5zGdoaGigu7sbq9XK\n1atXb/qd3LJIWkSxQlljw4YNOBwOZmZm+E//6T8xPDyM2+3GYDCwuLiIx+O5ISEvimerHYfI3aXT\nadLpNMPDw/h8PqLRKGvXrqWrq4uFhQWKiookZ4bZbJb5UbEBVmO5Eb1KpWJpaYkrV65w6dIlhoeH\nmZ2dBa47jcuXL3P58mXMZjNlZWU3CK6udvHn5jzNZjPpdJrKykoqKioYGxujra2N+++/n2effZbJ\nyUmWlpZobGykuLhYFlKVOLDEFTIWi3Hx4kVOnz7N+vXrARgeHsZgMLCwsCCv0GvXrsVisVBTU4PR\naCQajUpKzdVYLmWqUL8uKChgzZo1xGIxjh49itfrZXFxkVgsxs6dOyksLGRkZASj0SjZCVc7J6Iw\nJtrxs9ksu3fvlpJYNTU1dHV1yQLV3NycjLgFsQ8oU+QWbekFBQWo1WoqKyvZtm0ba9eu5cUXX2Rw\ncJCGhgbWrl0rFcQFpa1arSYcDitSKxBRtBCoUKlUkm3uwoULGI1GNmzYwNq1a6Xa+8jICLW1tYrt\nF3g3sBLPl8lksNlsDA4OMj4+jsPhYPfu3bS1tUnem0AgwNDQEIWFhRIp9YG+c9Wj/iBf9n+QDAaD\ngdraWqmkUFtbS2FhIRs3bkSv1xOLxVCr1TgcDmw2m2KEPgJelkwmCYfDRKNRJicn8fv9ZLNZKbLp\ncrkkL4IopCnNRwDX50Owrb399tuS7lEoHHd0dHDhwgU0Gg07duxg/fr1N6BjlHIGTqeT5uZmysrK\nePjhh3nkkUfYtGkT1dXVBAIB2tvbGR4eJhAI0NjYiMViIRAIKCbTJOZW8GgLEqNoNEpdXR0f+chH\nUKvVtLW1SQGC6upqNm7cKOdLieu9cNCiIOf1emlra6Ouro6JiQlaW1t59NFH6e/vJ51Oc//99xMK\nhW5gEVSicChufEJPc3l5mYMHD7J3714aGhq4cOEC58+fZ9euXRQWFtLX14dWq6WsrAy9Xo9er1eU\nDU98VjqdpqSkhA0bNtDc3EwikUCtVkse+ImJCUKhkEQ2mM1mYPWHhQho9Ho9ZWVlFBYWylrJ4OAg\n165dY2JigjVr1lBTU0NpaSk2m43Z2VlFSadyoZACJmy320mlUvT391NTU4Pb7aa8vJxIJMLVq1cl\n8kewV97MOr1l6A6RzxF46MOHDxMMBmlububixYtSdfn06dOEQiHKysrIZrNUVFQAKHIaiw0tYEuC\nXrGmpoZIJEJnZyeFhYXU19djt9vp6urCbrdLvTbBFLda55jL6jUyMgLA5s2bZZ5ZYIFTqRTbtm3D\nZrMxMjIir+GCe3m1i1/oxjkcDsrKyhgaGqKvr4+zZ89y5MgRKf1z8OBB6urq8Pv9UgS0pqbmhuvf\nakyw6xmNRjZu3Ijb7ebQoUOUlpbymc98hvb2di5dusSf/MmfMDs7y69//WvuvvtuysrKOHfuHAsL\nC9jtdsXysAJlEo1GASTmVnBvV1ZW8ud//ueSU/k//+f/jM1mkwXM1ZpAaej1erlev/GNbxCNRikv\nL+c73/kOjz76KHl5eXR0dEgH5vf7JSwxGAyuehxiLKlUirGxMaxWK1NTUzz//PM0NjayefNmXC4X\np0+flnqGS0tLFBcXSwipwLuvxgT6yWw2Y7PZpLDAr371KyKRCNXV1SwsLNDa2kpnZyeNjY3yVqNS\nqaTPWe3BJdaGSqUiFovh8XgYHBzk1KlTRCIRTCYT6XSa9evXc+XKFd544w3q6upYu3YtIyMj0lF/\n0EPjlqU7MpmMvP7Mzs7i8XjYvHkzRqOR7u5uiTMVYqipVEqqdJhMJkWctHAmiUSC2dlZKTvv8/kY\nHh5menqauro6+ZL1ej379u2T2oK5oP7VmpgTuO4ERkZGaG9vx2KxUFhYiEp1XZ/N5/Px61//WhYJ\nI5GIxHYrBSsSFfhsNsuxY8eYnZ3Fbrfz+c9/ntnZWSwWC2VlZfj9fnw+H+l0WpK6K2FiTkUOs7S0\nlAsXLtDT04NeryedTpOfn08mk8Hn85FMJjl27BjV1dXMzc0Rj8flwbVaEwf5/Pw8arWaq1evkkql\nCIVCLC0t4Xa72bJlCwUFBVy9epUrV65IwWQlTUAiy8vLGR0d5dlnn+XgwYOsWbOGTZs2sWPHDk6d\nOoXT6WTjxo0sLi5KRwHKsL+J9KDgEBfpQJHCqKmpIZvNsm7dOhklZjIZmQpQWphXp9ORTqclfHdp\naQm9Xk9jY6N0wGq1mrKyMuLxOCUlJajVaqLRqJyX1VguGkqtVuN2u3n99dfp7+8nHo/zyCOPcO+9\n98peg8LCQgwGAwUFBZLG9WbsljeziPTCgQMHaG1tBcDj8dDR0UE0GuXkyZPMz8/z0Y9+VFZIlabG\nFHJHoirudrspLi6mvb2dtrY2PB4P//qv/8rRo0f527/9W6lIIa5dSsjxiBxsbW0tmUyG//2//zcH\nDhzgySefJJVKUVpaytjYGC+++CJvvvkmf/Znf0YmkyGdTmM0Gn+rs+xmTUQH58+fp6enh8LCQoqL\ni6XDttlseL1eXnvtNUwmEzt37mRwcFBuENEQtNoxiC7U5557jnXr1vHYY49x/PhxecUFOHHiBI88\n8gg7duzggQceIJvNMj09LelvlYK+AZKPePPmzdx///00NjZy6NAhjh8/jt1ux+/3U1NTw1//9V/L\nXLHBYJBR22rHIaL2T3/608TjcfR6PQcPHiSZTOJ2u3nrrbe44447ePjhh+nu7sbpdBKNRnE4HCQS\nCSmosRoT+OhQKMSGDRu45557eO655xgYGKC5uZlwOIxarWbdunWcP3+ekZERioqK8Hq9Ug80kUgo\nknoR6yORSFBWVibhq/v376euro7+/n5eeOEFampq6O7uZmlpiS1btnDmzBlMJhMVFRUyJbWaMYhs\nQDqdZm5uDqPRyJ49e6RQxksvvcRf/uVfsmfPHu6//352796N0WiU2HGBEPsgdsucdG5Lq1qt5ty5\nc4TDYdxuN4FAgOXlZUpLSyVY3Wq14vF4brhqrhbuJRxSMpmkurqadevWyfxVZ2cnb7zxBmVlZTQ3\nN+NwOKitrSUajd6Q8lDKxEYUHWw1NTU8/PDDFBYWcuzYMfLz83n99ddJJpOsXbtWRvfBYFAxAQAR\nGQQCAS5fvozP52P9+vVoNBrOnz+PVqvl4x//OJ2dnVy5coXi4mIaGxtxOBwSfqdUNC9UTsQNZ9++\nfTQ3N1NUVMSPfvQjfD4fLS0tzM/P43a7uf/++6mrq2N0dBS73a5YDlYQ7ZvNZsxmM36/n7m5OQwG\nA8899xzFxcX8wR/8AUtLSwwODhIOh4nFYpKUX4nCMlyHagk8cn5+vgwqxBW+p6eHBx54AL/fz6VL\nl9i8eTPZbFYR55xrwjGJ+pBQT9qyZQvvvPMOmUyG06dPs7CwwJ133nmDiEYikZCdo6s1tVotO/dW\nVlb493//d8LhMDqdju7ubtLpNB6Ph0uXLjE9PY3b7SYejzMwMEBDQ4MCM/FuSzpclzcbGBjAaDTS\n1NSEWq2mq6uLwcFBHnjgARoaGqRDF0154jb8Qf3YLY+krVYrqVQKn88nHffMzAzZbJampiaKiorQ\n6/VEIhEikQgej0eKnq7WSYv8msip1tXVMTY2Jh1Vfn4+LpdL6pbV1NRIEYIPS+nBYrGQTqclcuPl\nl/8/9s48Os7yPPu/kWZGs2/SjEb7LtmybMv7JhswxAZC3EBxYmhKSiiE5hSSkDZNty+hW2goOSml\ntE2b0BRIyQrYxoBtsPEuy5ZsWftm7aORNKNZNZJGM/r+8Pc8GYf0O8V67cMfvs7xgXPA9qP3fd77\nuZ/7vu7repPx8XGSySS/+MUvWL58OSaTSf5/4kUrZa45MzNDX1+fdISuqqqSk5dGo5FIJMLAwAA2\nm41QKMT8/DzZ2dmSgaJEyUM07KxWK1VVVczNzXH8+HGi0Sgul4vGxkbWr19PTU0NcOVn/9rXvkYg\nEOD999+XzeXFQjSZhNuJsDgTzjk6nY4777yTYDDI66+/Tn19PXNzc1RUVEjrL6Wm/MTtbXJyknA4\nzKFDh3C73VRXV0uT19LSUtra2ohGo/h8PtnIU8KkWEDotxgMBnlb0Ov16PV6Ojs7ycjIoK2tjeLi\nYlauXEl3dzc+n0/SKpUI0CK5ikajdHV1yUnllStXsm3bNvr6+sjPzycajTI2NoZer6esrIzR0VG0\nWq204lPiWYg9EgqFpBuLOJRMJhMOh4OdO3diMploaWmhr69P1tSvhSMNNzBIx+NxIpEIS5cuxel0\nStqM0WjE4XDITfU7v/M76PV6Dh8+jFqtZnBwUJ7Ii4XIXtVqNX19fQQCAU6cOMGKFSsoLS3lxRdf\nJBAIyMGavLw8qqur5ZCJWq2WvxYDMaaq0+mIxWLSMuzHP/4xb731Fp/5zGdoa2uTDIO0tDT6+/sZ\nGhpifHz8mq5MvwmJRILx8XHq6+vZtm0bu3fv5qWXXsJoNLJhwwZmZmYYGBjg29/+NpmZmbzyyiuo\nVCrsdrscc1VqFFswf/78z/+czs5OAoEAa9euJTs7m02bNrF69WreeOMNfvrTnxIMBnnyyScZGBi4\nquGqxBpsNhuFhYW0trbi8XgoKCjg1KlT9Pf3k52dTVNTEy+99BL33HMPGzZsYGhoCEA6vStBFYUr\n3OC5uTkOHz6MyWQiEolw/Phxjh49SiAQ4P7778dut9Pb20ssFqOhoYHy8nJ8Ph9TU1OKZdPCrqyl\npYXm5mZOnTrFnXfeSVVVFU888QTRaJTDhw9z6623UlFRQU9PDzqdjkgksihfv1QI/nooFOLo0aNU\nVVXxgx/8gIqKCi5fvsz999/PvffeS3Z2NqWlpdx222288cYbGAwGHn/8ceLxuCJJHiCnlWdmZigs\nLCSZTNLZ2Skdg1pbWyWPW6VSMTg4KOvhvy729L/FDQvSiUSCWCwmG1FtbW14PB6cTidms5m5uTn0\ner3MSIaGhsjIyJBUOSUesMgKrFYrg4ODjI6OShGfkpISOjs7aWpqkmI2RqORyclJhoaGFBWLSR0S\nEF6LDoeD9vZ2IpGIZJ6IIGgwGOjv72dwcFBOwykxoi50BETz9uzZs/T397N+/XpKSkq4ePEi09PT\n+P1+IpGI5OOOjIx8SAVvMRA+gV6vV/6ZdXV1bN++ndHRUf7rv/6L9vZ22tra6OrqkkwclUqFxWJR\nbApUHOLxeBydTicn6LxeL7Ozs9x1110AbNq0iU996lMEAgFeeuklefNRonEpYDQayc/PJxAIoNfr\neeyxxygqKpIHdU5ODgcPHqSlpYVkMonL5UKr1RIMBuW4/mKfiXiuFouFUChEX18fmzdv5vd+7/fY\nsWMH3/nOd+R+yc/Px+v1EovFpBKeKG0uFunp6XK+wWw2o9fraWxs5MSJE3R3dwOwbNkyWltbmZiY\nwO/3Y7FYZEPR5/NJps5iIDjrcOUQ1ev1uN1uent75WSycLoHpEnx9PT0VfS9j/pebmhN2mAwyHHW\nrVu30trais/nY+vWrTidTs6fPy8paWKkVFztlIDYNDk5OZK/GAqFaG5uZnR0lLfeeotIJML999+P\n2WzGYDBw+fJl6Zotfg4lID6ikZERQqEQs7Oz5OXl8Rd/8Rd8/etfZ3Z2li9+8YvSLVroJojfq0Rg\nSktLIzc3l3vvvReA3NxcHn/8caLRKP39/Wzfvp2FhQXee+89wuEw/f39ANhsNjmGrBRmZ2cZHh7m\n3LlzBAIBOjo6eP311+nt7WXDhg1UVFSwbt06KWgjmkhKlX0AyZXv6upCr9fjcrkIBAJs3rwZl8vF\nT37yE95++20+97nPyVJIZ2cniURC8uqVKDWIjN7pdOJwOAB44YUXCAaDbN26lW3btjE0NERxcTGP\nPvoo6enpUpRKlDyUCI5CREiwrmw2G42NjTz77LP80z/9E3fccQePPPII9fX1/Pd//zfDw8MsWbIE\nvV4vx8aVgKAkGo1GiouL8fv9HDhwgCVLllBXV8eaNWuoqqqivr5e1vDLy8tlD2d6elqRm2eqTGta\nWhrDw8MsLCzI26jVamXVqlXYbDaMRiMzMzNcvnyZZDKJXq+/5lmLGyqwpNFoyMnJQa/Xs3TpUhwO\nBxcuXGByclJuCKPRiFarvS6SnKkyjnq9XnbjQ6EQZrOZhx56iGQyKZXFhKZ1enq6oiO/4lQVqm5q\ntVrqFRsMBs6cOSObUkKCUqPRSN2A1AaGEtDpdLjdboqLi5mYmODll1/mgw8+4Mtf/jIZGRlywCcj\nI0MRAaH/CSqViszMTLKzs2VNr7W1lZ6eHux2O/fddx+5ubno9XqCwaDknCpVcvl1YaOFhSvu1GLA\n5fbbb2fr1q3U1dWRmZlJb28vRqORhYUFxbJGsQ5RzxU3v40bN8qkpq+vD4vFgsvlkmWAaDQqbySp\nhr6LhejjiHp0ZWUlJpOJyspKvvrVr+Lz+Xj88cfp7+/H6XTKAK3k9ysSIxF8/X4/K1as4J577iE/\nP58XXngBtVrN+vXrZe9A8MRnZ2cV3R9ij1itVlQqFVarlTVr1lBSUkJ6ejrZ2dlSKVBMPsLizHlv\nqMCSWOjCwgK9vb2Mjo4yPDxMPB4nmUxeNSmVSjFTkoKXGiDhSuNOdKJHR0fJyMiQI77iYxUj0Eoh\ndQOLpoLQkNZoNIyNjREMBsnNzZXXeaVEYn4TBOPF5/MRiUQoLCxk69at5Obmyuu2ONSUnmZLRXp6\nOhaLBbPZLMVpcnNzZQCKxWJSelJc6a/HMxEDEGKQpL+/nzNnzpCZmSnVGicmJpiYmJDZopg0VGo9\ngic9NTUlG+iCbxsIBIhGo3R0dEi2jzgkxEFxPWRKxW04EAhQX1/P1772NZm9FxYWSsVKuD7u6WIc\n22q1UlNTQ1FREUajkYqKCgwGg5xnSG3wpw6OKQXRTxKUXECyasbGxiQ1UdAGF3tg3XB2h8gGfT4f\nGo2G6upqublTp+hSr9JKf4ipDyxVLF2sY3h4WP79SmYlv+nvFw0iUbcS/z112jKV2nU9Nr/Q0p6Y\nmACgtLSU0tJSyXGtrKyU2cz1uOGkIh6PS2eL3NxccnJy5Dh/NBqV13lxiF8PYXlBZXM6nWRlZV31\noaelpdHT0wNceS+p7Bal9+nCwhUpX/hVP2V+fl42jkXzVgwiKb03Ut+zkBAQMgKA5GNv2bJF/t2i\njHc99sjCwoJUk2ttbaWtrQ2VSiVlAcTtQ3w/18t0QKxFSJamvnfB/hASvko8C9X1ys5u4iZu4iZu\nYvG4aUR7EzdxEzfxMcbNIH0TN3ETN/ExxnWvSf/xH/+xrKeIIQ7B5JidnSU9PZ2srCwSiQQjIyNy\nJBe4ipAval7PPvvsNRV4vvKVr3zIpVvwYkVTRDSBRJ16ZmZG+seJerCoyX7ve99btBt0amNU1K1S\n15KWlkYsFpMMk9TfI3CtbtC/7kqd2sgUutliiGB6elrWI+FX/YLUWtu1ruPb3/72b3THFjSn1Lqi\ncJIXKmSp/02s5U//9E+vaR3PPffch56HqE1rNBqSyaRsrFqtVsn6iEajksOb+jy+9rWvXdM6/vIv\n//JD60gmk9IJXDStUpubYhpW/P+pNNG//uu/XrRbuIB4H0KDXAhiCS0LMaUqZBxS38+1uoV/+ctf\n/tA6BNNKfL/iGWRkZEjnGCFC9us14X/8x3+8pnU8+eSTv3Gfiveenp7OzMwMMzMzkuEi9k2qWa34\nfp9//vmPp1u4CLSp7Aqh2TA8PCyn7IQov2hWiIetZP1cNBZEF1gYSarVaqnDMDk5KRt6SvGjUyF+\nptS1zM3NYTabMZlMzM7Oyg9UfBCCGqZ0c0a8m9RGmBAyHxkZwWq1kpWVRVFREQaDAYvFoqiYukDq\nz5Vqrir8Lo1GI9PT0wSDQamcdz0gBg8MBoMc/b18+TJer5cVK1aQl5eH2WyWWhLXEyK5EbKyubm5\nJJNJya8PBoP09/fLQ+V67NXUdy2+TWHUGwgE5KBJQUGBFGW6Hs9FrCOVYSQaqHq9Xkqmiv0pvq3r\nQT4QcUHs10AgINU8zWazVO9MJQZcyzpuOLsjPT1d8myTySRZWVlSGKWkpITa2lpisRjNzc3SMiuV\n6qIEFhYW5DDL9PQ0RqMRo9FId3c3WVlZOJ1OBgcHCYVCsnOsdOc8NdCK9QgvxYKCAnJzcwkGg5JH\nLRw4/H6/5M8qpVchNrLgA6enpxOJRFi2bBn5+fmEQiE0Gg3T09PSGdtqtV4XpoegLc3NzRGNRuXN\nYmZmhi1btmC32+ns7JSbXjwbpT5E8fPodDoMBgM5OTnylnf+/Hk8Hg+lpaVSzlRQFHU6nVyDksFJ\n0EBFMqNWq/H7/QQCATlE43a76evrIxqNyuehhI7zb4LIlt1uN6Ojo1KOVK1WU15ezh133IHX66Wh\noUFmkErg1ymrIonxeDwEAgFqamowmUz84he/wOv18pWvfAWj0YjH45HPUCm5419PknQ6naTI6nQ6\nCgoKsFgs8sYRiUQIh8My4fhYThyKh6PT6Vi9ejVut5unn36aixcvsnHjRg4ePEh6ejr33nuvtE96\n6aWXSCaTfOtb38JkMpGXlyfLIItdSyKRkK7lVVVV2O12KR5UW1uLVquV03WBQEBqxwofPaUCk1DJ\nCgQCxONxNBqN1D148cUX2bx5M5mZmezfv5/t27czPj5OV1cXubm5ZGZmKhKkxa1FjN739fUxMjJC\nNBrlkUcewWq10tfXx9TUFCaTibVr19Lb20tJSQmJRILJyclFy3OmUguFZdTRo0cJh8Ns376dlStX\ncvbsWRoaGrBarVitVr74xS8SiURoa2uTLutKSAeIw0q4sUejUTnE8eyzz0pThkQiwcGDB3G73ezc\nuZPjx4/L57DY9yKy1Xg8jsfjIZlMUldXRzwep6WlhbvvvpsHH3yQ/fv309bWRmNjo3xODQ0Nkleu\nhH6HKF1EIhGmpqZYWFggKyuLQCBAV1cXTqcTv9/PxMQERqORv/u7vyMUCrFmzRrpHqTEYSFsq5Yv\nX05xcTH19fVcvHiRqakpDAYDbrdb7mWVSsX777+Pw+GQ9llKfLOpN+poNMrExIQUveru7uatt95i\n1apV1NbWMjc3x/j4OBs3bsTv9/P++++Tl5dHfn7+R5ZMvaHOLMKjTGhyVFZWctddd/Hmm28yNzfH\nG2+8QSAQYG5ujpGREex2O8PDwzIoLTZIixNQrVbLP6+6uhqTyYTBYCCRSHDhwgXGxsYYHh5m9erV\nZGZmolKp6O7ulqOxSoy7ipNYOB8bjUYZHISq1vLly6XanNBMXrFiBSaTSW7Ixfz9qf9uNBql4cDx\n48dpbGykubmZmZkZrFYrExMTtLe3S/Ngka2BMl6L8Ksr7MzMDGNjYzI7bWxsJBKJ8Nhjj6FSqfB6\nvVJPRdRjlcyS5ufnpbBXIBCgrKxMWqplZ2cTj8epqamhtLSUI0eOMDU1RVtbGwAOhwO73b7otYjb\n1dTUFBaLhWg0yuDgIJOTk/T39/OTn/yEd955R6q/6XQ6li9fTmtrq7SfUwqCe6zRaOjp6aGrq4vi\n4mLuueceQqEQra2tDA8PU1JSwoULF5ienua2225jYWGB6elpRQ5xuHL4Ca2fI0eO0N3dLeVqh4eH\nmZubo7Ozk9tuu02q8+Xk5Cjmnp6aPXu9Xvr7+7n//vspLS3l4MGDrFy5kt/6rd9idHRU6r04HA70\nej3RaJS5ublr0lS5IUFauKyMjo4yNTVFaWkpZWVlrFu3Tgrr1NbWUlNTQ1lZGW63mz/6oz/C4XDw\nwAMPSJ2ExZ7I4qNOS0sjLy8Pm83GBx98gNvtZvXq1bS2tlJYWEh1dbUkx2u1Wnbu3MnBgwcxmUxU\nVFQsOkiL+pnZbMZms5GTk8P4+Lj0y3vzzTcpKiri+9//Pm+//TZ1dXV0dnYSj8d56KGHGB0dZXBw\nEJ/Pd81rSK2DR6NR+V6qqqpIJpN87nOfo7Kykp///OdYrVa2bdvGiRMn8Pv9suQgGjVK3Szm5+eZ\nmJjA5XLxh3/4h7KsIko8x44dk9Nuk5OTbNmyRZZClHALF+P/yWRSlhOam5vp6OhgdnaWz372s2Rk\nZPDoo48yOzvLypUr+fKXv0xDQwPxeByz2ayIJKYYxRa6Ey6Xi5aWFlmWEze+yspKMjMz+Y//+A8O\nHjzIO++8g8fjIT8/H6fTuWg3Eo1GQ0ZGBiaTiY0bN7KwsMDp06elrsjzzz+Pz+fj61//On6/H51O\nh8fjkVILQgN6sRD7a2ZmhrNnzxKLxbh48SJbt25lw4YNeL1e9uzZw6lTpzhw4ACbN2/GYDDwzjvv\nMDc3p1iNXpQ00tLSGBkZIRwOE4vFeOaZZ7h48SLPPfccExMTjIyM0N/fTyKRYN++fYTDYdasWYPd\nbr+mRPOGBGlR01WpVOTl5VFTU8PAwAAXLlxgeHiYCxcuUFhYyLlz5+jo6GDPnj2sWLECm83G2rVr\npZtLJBJZ9DpE/cxsNhOLxWhqaqK8vByTyURxcTHl5eWMjo6ybNkycnJy+MUvfsG2bdukO4gQWlos\nhNmouPoMDg6Sn5+PzWajrKyMHTt28J//+Z/U1tZyxx130NnZSV5eHsPDw1JfW4kMVrA3BgYGZIZe\nVVVFRUUFTU1NeDweHA4HZWVlBINB5ufnsdvtHD9+XLFavShBxeNxZmZmyMvLIxQKAcisdH5+nv7+\nfnkb2759O1VVVZw+fVpRGy/RMHS73ZhMJiYmJpidnSUQCEjXkbuu2mwOAAAgAElEQVTuuovZ2VlW\nrVpFTU0NgUDgqp7JYpOJVIlP0TjPzMyksLCQrq4uJicnuXz5Mg0NDcRiMdrb28nJyZFGDVqtVpHD\nAn7FghIspzVr1jA9PY3X62XTpk2sXLmSZcuW0d3dTV9fHxMTE2i1WqampqQ42mL7SSI4hsNhent7\ncTgc3HnnneTl5clsdWpqivfff5+xsTHGx8elLo9gpChVGxeZsGCF7d27V4rE1dfX4/f7cblc0nZs\nfHycmZkZaTf3sW0cqtVqTCYTWVlZbNiwgeXLl3P27FmGhoZwOp3cddddLFu2jCNHjpCVlUV/fz+r\nVq2S3drp6WlF9DPEByiaQpOTkxQWFkq3ib6+Pjo7O1m3bh0PP/wwWq2W//iP/yAcDlP8/9S3lFTB\nEzQzkbUtWbKE/Px8cnJyKCkpwWg0cuedd8pSSGlpKR0dHVL1bNHjpimNS4vFQk5ODoFAAJPJREND\nA/v27WN6ehqdTic1uIW9mMj2RJloMRAiSbFYjLm5OWZmZmhqaqKwsFAGHIvFwqlTp7DZbNhsNpYv\nX45KpcLn85GZmamYvyEgdWQcDgf5+fmkpaUxOjoqs6RNmzYB4HK56OvrIy0tDafTSTgcViRzFGU5\n0TAXym6iZzAxMYFarebcuXPEYjFMJhMFBQV0dHSg1Wql4tpiIb454UualpbG2rVr6enpYWxsjB07\ndjA9Pc2+fftkU1NICIiDU4nvRSQToVCIsbExmehNTEzQ29uLRqPh0qVLHDx4kPXr12Oz2fB4PFeJ\nkSmp/SNYNIISunXrVpYtW8a5c+fk9wzIJGxhYQGTySQprR91LTckSAvOonC93rdvH263G7PZTHFx\nsayzPfvss5w/f55/+Id/4N5776Wvr0963AmVuMVAPBy9Xs/p06c5ceIEX//611GpVLIOHYlEMJvN\nvPLKK/h8PrKzs2Vty2azKWKuKerzPp+Pubk5GQBnZmYoKysjIyODw4cP87u/+7vk5uZy6tQpXnzx\nRSYmJvj2t7+N1WqVfNTFQDRjjEYjn/70p8nJyeF73/seGzZswGQy8fjjj5Oens53v/tdYrEY4+Pj\nhMNhysvLmZ2dVUyKUiA9PZ3MzEzp47h69WrS09O5cOECR44coaOjgzVr1shuudVqlYFddM4XA/ER\nCafwSCRCV1cXW7duZffu3fz85z/nnXfeoaioCLVaTUdHB2vXrmXDhg1S6EhJRoVGo6GgoIDCwkLa\n2tqIxWL09/eza9cuVCoVu3fvJhQKcfr0aRKJBMuXL8fn80kRLCUCk+D+jo6OkpubK/dsYWEh77zz\nDu3t7RQXF0vPy/vuu4/s7GwuXbqE3+9XTPdcJCSijCPYX+vXr8fn8zExMcEHH3yATqejvb2dgYEB\nzGbzVTTXxULU5YXEb2lpKXq9nkuXLnH58mW2bNlCX18ft99+OydOnKClpYWKigrJrxe6Ix8VN0wF\nTwjBHDlyhPfee4/nnnuOWCzG2NgY77zzjgzi58+fp6Ojg9WrV9Pe3k5/f79itb5UullLSwuXL18m\nFArh8XgwGo08+eST9PT08MEHH1BfXy+vUoODg1RWVsp6oBJZfSKRkNexnJwcli5dKgXNp6enycrK\nYn5+Hp/PR1VVFUajkcuXLyvKTU7NHNVqNbOzs+Tk5FBdXS0tmQDuuusuiouL6evr44MPPqC1tZVE\nIoHJZFKsHi2yxmQySTgcxmg0Eg6HpYjPihUr2LVrF+Pj47zxxhs4nU7Z/FWKnpnKqRXmsuFwmEQi\nQV5enrzdrV27lng8TmZmJsuWLSMrK4uBgYEPDSwsBmKgyWw2U1RUxODgIIFAgPLycmZmZggGg2zY\nsIG2tjbJahGay+IAV6qZKn7Wqqoq2YgDyMnJ4XOf+xxVVVW8+uqrHDt2TFqtWSwWIpGIYmUGwVk3\nGo0MDw/j9Xql1VswGCQ/P5/GxkYGBwcZGxvD5/PhcDjQarVXiZctBqnxQ61Wy6RtfHyc9PR02tvb\n8fv93HXXXUxOTtLR0SG/c5FdX0tp7oYG6YyMDGw2G3v27CErK4tLly4B8IUvfIGJiQn+8i//kkAg\nwAMPPMD9998PwHPPPXeVt99iILItUUK5++67yc/P5/3332dycpKdO3fS0tLCrl27yM7OltfH/v5+\nsrKyJCldiSAtCP9Op5NYLMaOHTtkBl1dXc3WrVv5zne+QywWA+DZZ5+lrq6OwsLCa7oy/SaoVCpp\nofWzn/2MT33qU/zwhz/k7NmzvPjii2RnZ+NwONiwYQNvvvkmzc3N3HvvvfT390tGgVKSmOLdiEag\nyBA1Gg1ZWVnodDqam5vR6XRs2bKF4uJi1q9fj8fjUSyLFSUGg8HA3Nwcw8PD5OfnEw6H+c53vkNe\nXh4rVqzgyJEjVFRUUFJSIl1i+vr65CG7WKT2K0Sp6xOf+ARer1cyKWpqanj99ddl5vzyyy9jsVi4\n++67MRqNiuooW61Wqqur0Wg0TE5OotPpCIVCvPrqq6SlpfHNb36TT3ziE2zdupVDhw5x4sQJCgsL\nMRgMciJzMRDvpaSkhMzMTI4fP87DDz9MQUEBP/7xj+XwyDe+8Q2Ki4sBWL9+vSydqlQqOSG6WAji\nwdDQEENDQ+zYsYNHH32UTZs2UVtbS29vL9/61rdoamqiuLiYhx56iI6ODn72s58RiUSw2Wwf+e+8\nYaL/gjK2Y8cO3G433//+9zlw4AAVFRUyg3I6nTzwwAOoVCqOHz/OwsIC5eXlWK1WxTIDQMqArl+/\nnqmpKUZGRsjNzaW6upqRkRHZkAHYs2cPVquVZDIpx1+VWkM8HsdqtZJIJCQfdmpqiuLiYkZGRgBk\nx1ylUlFQUIDT6cTn8zE9Pa2YKa5wNA6FQhw+fJjR0VF27dpFeXk5r732GseOHePcuXMMDg5Kg1YB\npa73gnJmMBhwOp3k5eVJh/b+/n5ptSZqgYFAgPn5eTn1J6YTF7sGIQlqsVhoa2uTNzyLxYLVasXn\n89HW1iYHOpqbm5mdncVoNF41rrwYiGab2WwmGAzS09PDunXrGBgY4OLFi/T19eHz+RgZGWHp0qVY\nrVbZ4DWbzXIUWQkIe7loNMrAwADRaBSbzUY4HEaj0WCz2WhubiYUClFeXo7FYsHn88khJCVrwWaz\nWTrg5OfnSw32xx57DLVazaVLl3C73YyMjHD77bczOjpKf38/JpNJsV6SeL9CTlf87E1NTRQVFXHL\nLbfIrN9isVBVVYVWq+W1116TTcePZU1afEDhcJj8/HxcLhdms5k9e/awfv16Tp48icPhIBgMUllZ\nSXd3N6+//jrl5eUUFRWh0+lkd1kplJSUYDKZOHToEAsLC9TV1WE0GsnOzpYUN5fLhc1mI5FIMDQ0\npKiZpRj1dTqd0hxXrVazdetW+vv72bt3L1arlfz8fPLy8tBqtaxcufIqetNikMo91el0OJ1ObDYb\nL7/8Mna7nU996lO89NJLvPDCC3zyk5/EaDSyYsUKEokE4XBY0VIHIFkmc3NzWCwW6ZUn7MOWLFnC\nsmXLGBoa4uzZswSDQfx+/1X6CEpA/Exut1seFMJ30+v1ymuuuBWK0X273S7ZDEr0LMThMDo6yuzs\nLG63G6PRiNVqlS7qb7/9Nk6nE5VKRV1dHStWrJBZrlLBUQRpv9+Px+PB7XYTCoWYnJxkx44d5Ofn\nk5GRgdfr5fLlywSDQdnoVMraTNSUhWZLX18fly9fZmRkBL/fT2ZmJl6vl7vuuktqZ5SXlzMyMiJl\nFZRAqn7P3Nwcbreb7OxsWYqqra3F7XYzNTVFTU0NWq2WwcFByfAwmUwfX3ZHMpkkEolIP7+MjAyG\nhoZwuVzs27ePz3/+8yxdupQlS5YwMDBAZmYm7777LrfccgtbtmxRhG4mIIYfduzYgd/vp7+/n098\n4hMYjUaeeeYZ1q9fzx133MHQ0BDNzc38+7//OxqNRprTKtU5F5nBxMQEU1NTaDQaeVV78sknWbly\nJbt27ZKuLe+++y7Hjh3DaDQqcrUXz9NisVBbWysF9nfv3s3Q0BD79++noKCAX/7yl7z33ns4HA4c\nDgfhcJjs7GxpG7XYQQX41TuJx+NcuHCB1tZWNm7cKA9zl8vF6OgoVqtVjow3NTXR0tIiTXmVGpOf\nm5vD6/WSlZXF448/Tk9PDwMDA3g8HgoLC9m+fTsdHR20t7dTWFhIbW2trJuLKcHFIi0tDavVSllZ\nGS6Xi/Pnz/PUU09htVrJzc1lw4YNVFdXEwgEaGhoICMjg6eeeoqpqSlaW1ulIP1iD1GRTMTjcXJz\nc3E4HBw9epTGxkbcbrd08XE6najVagYGBpiammLVqlXMzMwwOzurWO9kZmYGj8eDzWajpqZGOsKE\nQiEeeeQRenp6+MQnPiFF21555RWZaAmDayXKYQaDAa1Wi9PpBGDLli3ylv3KK68QCoXYuXOn3Mvn\nzp0jIyNDeraK5Oyj4IaVOwS38OLFiyxdupSxsTGOHDmCxWLhscceo6WlBafTSVlZGWazGbVaTTQa\nlePKSvIc4/E4iUQCi8VCRUUFLpeLWCxGQUEB6enpnDx5EkBSqmw2G1arVbGRcPE8tFqtHLe12+0E\ng0EuX75MVVUVe/bsYWJiApVKRTQa5dy5c5jNZpYsWYJOp1OkviZq0unp6fT29tLf309FRQUXLlxg\n3759/O3f/i0DAwMcPnyY2267DbVajcViwWazSQqeUs9DePkJJ5TVq1ezsLBAc3Mzb775JsPDw/zt\n3/4tZWVlWCwWaVOU6taxWIgS1PT0NO+99x4zMzNYLBbgCj8+HA5z8eJFXnnlFZYvX86GDRtkxp/6\nsyixDhFk6+rqcDqdTE5O4vF4OHToEO3t7ezcuZPm5maOHz9Obm4uWVlZ0hFbyURCUN8MBgMzMzNc\nvHiRrKwsVq1axd69exkcHKSoqIjbb78dl8tFU1OTLEUppZcBVw4u8fNt376dJUuWyLpwOBxmdHSU\nzMxMmfhMTExgNpsxm82K0maTySQGg4Ha2lo6Ojo4dOgQhYWFuFwuNBoNdrud7u5ugsGgVEwUt6Jr\nzehvSJBOT0/HbDZTVlaG1+slOzubH/7whxgMBqampvijP/ojtmzZwi9/+UuOHTtGfX09q1atwuVy\nEQ6HFRtxFcExLS2N+vp6ya89efIkubm5PPTQQ+zdu1dSe+LxOO3t7Vf5+inJZhC/LBYLhYWF0rYq\nPT0dr9eL3+9n27Zt2O12SktLr+LNKgHBYlCpVHR2dtLd3c3dd99NXV0dq1atkjXYF198kd7eXg4d\nOkR2djbZ2dlXyZkqAaPRiMViobKykmQyycGDB+no6CAzM5P77rtPHl4Wi0WqnonJTZFNLxZCac7t\ndtPW1sbbb7/NqlWrqKqqoqysjIMHDzI1NcXDDz/MmjVryM7OpqmpSequKEE3gys3i0AgwKVLl+QB\nVl1dzYoVKygoKKCgoACv18uxY8ekGl97e7u8dSgFkQWHw2HGxsaYnZ1l69atrFu3jkQiQWlpKatW\nreLMmTM4HA76+/tleSYnJ0fR0fS0tDTi8biceDxw4ADnzp3DarWyfft2tm3bxqOPPorf7+fkyZPM\nzMwoOsQCv/K+9Pl8FBcXY7Va6ezsxOl0kpaWxpIlS4jFYhiNRurq6khPT6ejo+MqOYprqdPfMO0O\noeLlcrkIBoOcP3+evLw8vF6v/Pf9+/fT1dVFPB6XNT5Rr1UKgkEgiOiVlZWMjo5isVhk3VVM1fl8\nPnlNEbVPpSBql0Lu8dixY/T29pKdnY3f72dwcJClS5fKIYHs7Gw5pp6qxLXYNQi4XC6mp6c5c+aM\nFOlZs2YNFRUVjIyMcOnSJQKBANnZ2ZLbrZTy3K9fA/V6PRkZGeTn53PLLbewcuVKPB6PvE0Iw1GN\nRiM1lpXKYEVQXLJkCTMzM0xMTBCNRjEYDNxxxx2sWLGCgYEByRAS70dJ9Ttxw4nFYnR2dpKenk5j\nYyM9PT3k5eXx0EMPsbCwwC233CI53UJPRewPpdYBSHpmNBolIyNDUlQffvhhotEoR44cwW63y4ar\nUjeb1HWIZzw/P4/H46GzsxO9Xi9LhGlpaXg8HmkSLIaKUv0wF4tUbeipqSm5N8R4eG5u7lVj6ELX\nWtxWRT37o+KGBWmhIGWxWFCr1fh8PmKxmBxYEcMqIggIDenrIREKV6apRDlDq9Wi0+no7OxkdHQU\ngEgkItehtOxjaoAVXXy1Wo3BYJDZreBiBoNBOQotdHxBuWu1gLjpiGkqQHKAPR4PWq0Wt9stP8Dr\nIYMpmpLT09Oo1WrKysooKCjg0qVLDA8Py1ptIpGQ70WI/yiF1Axdr9dLSdaFhSvGr+3t7R8yH71e\nWuOJRELqMgvql8fj4d1338VgMOBwOKR4kCjhXWsg+P9B3PbMZjNVVVVSQnfbtm0kk0ksFoukDIqA\nej1McYXxgVarlTeIgoICKZPQ0NBAOBxmamoKQOqwXw8kEgn0ej0Wi0Ua8woxKSFvkHpzX0xD+Yaq\n4Il/zs7OSmdqgAceeEBaouv1ehms4PpYw8OvXLrF3xMIBKSQPCAnC5UcKRVIDSqpWiLz8/MEAgGK\nioooLCxEo9Hg8Xg+pBJ3PZDqeiIwODjI8PCw5Knn5+fLNSj9TMSfKZrEDocDlUpFU1MTiURCqs+J\nfSPKC0oG6NR1wNUSqgsLC3i9Xjm4kDrYcD32SGoyAVBRUUFZWRmAzAxnZ2dluep67VW48g0KYSCR\nxLhcLt5//30Aua4bAXEjr6ysBK6wgoR8rRA1EqqOAtfj3YhDHK4E5+npadlLSEtLIxKJKHfjvR4v\n9SZu4iZu4iaUwU0j2pu4iZu4iY8xbgbpm7iJm7iJjzFuBumbuImbuImPMa574/DP/uzPPlT0Fj5y\ncKVhpdfrCQQC+Hw+zGbz/5fu9nd/93fXVIX/5je/+aF1pOr2AlKoW7A6BP0u1TZH/J6nn376mtbx\njW9840PrSOXXisaDGAEWFL3/qXP/zDPPXNM6/uZv/uY3NiPEny8YLanUJ/hVw25+fv6qd/QXf/EX\n17SOL37xi3Id4hmLIQrBcRXj1oJxo9VqpRmAkCkV+Ld/+7drWsfzzz//PzZnxDpS35F4H2LS8deb\ndk8++eQ1reOf/umf5B+S2nRKtQqLx+M4HA7Ky8ul/6DwyRR0L4Ennnjimtbx1FNP/cbnIZ6BEEyL\nx+Nyf8zPz/+PjJvvfve717SO1Pjx6024VNVEMb5vMpmkU7hYUyquNX78yZ/8yYeeR2rsSCaTkikG\nXMW2+U1DLH//93//v17HDXcLT1XEs1qtuN1u4MrHFgwGZYCenZ2VAQGuDmRKQPy5wiJISIQKZ2Eh\nCqXX669yYlAaoiMcj8cJBAIEAgG0Wi2lpaXY7XYmJiYYHx8nKytLuqenMmWUguCAzs/PS91c4VI9\nMjJCLBbDYrFQUlIiA7jSNDyxN8Q6xDMXqnTd3d0AFBQUYLfbpRFu6u9VCuI5z83NEY/HP3RIwZUP\nUfCkxbNQ8p2IZyHof1NTU9LkID8/n3Xr1jE/P8/o6CiNjY1yjakJhZJIlQHQ6XRSRGl2dpapqSnm\n5uZwuVyKvwsB8WeKWDA3N0coFOLy5cvSE3T58uUUFBTQ1dXFxMSE/JaVXk8qrW56elrypsVwlRAH\nKygokKbGH3sKnoD4uMUHX1lZSWdnJ2lpadx9993Mzc0xODgoqUcej0dmkEoOLKSq6qWnp6PVaunu\n7qajowOVSoXD4ZBcVBE0UrOIxUK8YJH1XL58mc7OTvr7+6VOwq233oparSYej0s1wJGREaanp+Wa\nlIAIRsKFxel0otfrCYVC6PV6BgYGaGpqIplMsnLlSnQ6HYODgzLTVvIDEEEpFotJ7QfBGVar1UxM\nTLCwsCBpX6niO0pC8Pqj0ajUibBardhsNrKysvD5fAQCAcxms6SPioCuxOGVeqsQsraCJpqfn4/D\n4eDixYs4HA4sFgvT09PSsVtJR3sBEaD9fr+USBAH6Nq1a6VmsjjcvV6vDKRKQgiRiTHx6elpAoEA\nyWSSsrIyNmzYQHZ2NmfPnqW/v19S5VIPVyUgppCnp6fx+Xz09vbi9/uxWCyUl5eTm5srB2oErTge\njxOLxT7yu7lhHoeA1EVIJBJcunSJ1tZWTCYTbW1tZGVlUVFRwcDAAG63G41Gw5tvvsnk5CQul0u6\n7i4Gqbodvb29BINBampqWLp0KW63m6KiItasWcOhQ4eIRCJkZGTgcrno7OxkZGQEk8kkP8rFQrzk\nzMxMYrEY+fn57N69G4fDQVtbGz/+8Y85f/48W7ZsIZFI0NLSgsPhkHxMpRyQxRW6ra2N9PR0nnzy\nSeLxOJOTk4yPjzM2NsaPfvQjent7efrpp6Wc6LFjx7BarRQXF0sy/7VCcI3FZGVGRgZnzpxhfHyc\nnJwcWltbiUQiUsPjRz/6Ec899xwGg4EvfelL6HQ6wuGw9EW8VqTeUkTpq7u7G6vVisPhoK+vj2Aw\niNlslgMe0WiUmZkZ6VWpxA0jdfJRaD8Iu6hz585J+6h9+/aRk5PDnj17pJphVlbWVZn/YiGeyezs\nLOFwmN/+7d8mLy+Pd999l+7ubjIyMmSgEn6gy5YtkzxhpXwwRSJlt9uJx+N0d3ezZMkSbrnlFrq6\nuhgfH5d68N/4xjfkISvElZRYQ+q7jcViciCusLCQO+64g6ysLC5cuMCrr77Kbbfdxpo1a3jvvfcY\nHh5mfn4erVaLwWCQe+V/ixs6cajRaOSUVG9vL2q1mry8PC5fvkwikZCZW01NDfX19Vy6dEmKHimV\nRaelpTEzM0M0GpW1X7/fz/z8PJWVlTgcDkpLS6U+byAQwOv1EovF5Jj6YoN0Kul9cnKSZDLJbbfd\nhtlsZmhoCJVKJQXO8/LyiEajnD59mubmZvLy8rDb7XLTKoW5uTkyMjI4evSodNcIBAIMDQ3R2NjI\nxMQEw8PDrFixgoqKCjk5qsR7ERtf1O9E/fXOO+/k7rvv5rvf/S6HDh2iqalJuuU8/vjjTE1NsW3b\nNhlMFxukU2urovQUiUQwmUz4fD4GBwcpKyujvLxcuqUbDAY8Ho8UNRKypkogkUgwNjYmDVhHRkYY\nGBjgK1/5CqFQiIGBAQDppp6XlyftrpQa9BE/kyhr5Obm8t577/G9732P559/nqamJqqqqnA4HExO\nTlJdXY1Wq5Vyq0pBlCzGxsYYGBiQfoqVlZV8//vfZ2JiggcffJCCggJMJhPZ2dnEYjFpNaeEQqHY\nl7FYTOq/i6Ga5uZmMjIyyMvL46tf/arUU3n33XdZs2YNU1NT5OXlkZ2d/fEM0qmnj3ClrqysJD8/\nX1rAl5eXk5mZSVNTEwcOHODUqVPk5+eza9cuOSo8PT29qHWIjWswGKipqcFqtfLWW28xOjrKqlWr\n8Pl8GI1G1q1bh8fjYXBwkKNHj+JwONi0aRMzMzNXTSleKxYWFmQGduHCBZmdnz17Fo/Hg8FgwOVy\nUVRUJF/+vffeS0dHB/Pz89hsNqnYthio1Wqp0LV06VJ8Ph/vvPMOy5cvZ9myZQSDQUpLS1m2bBmj\no6PU1dURDAbJyMjgwQcfZGRkhJmZmUVnbWJyb35+nnPnzkmNitbWVt555x1qamp45pln2LNnD0eP\nHuW9996jrKwMu93OBx98gEajIRqNLjqDFddRYYBgNpupqalh586dZGdn8+Uvfxmbzcbp06d56623\nSEtL4/d///eZn5+XEplKCPqIK71KpZLO4Lt376a4uJjDhw9z4MABEokEu3btwu/38+qrrzIzM8PS\npUt58803UamuGERkZmYuah0isTIYDPj9fqn5fvLkSX7/93+fSCTCW2+9xapVqzh+/Lh0WW9ubpaB\nWvw5i4EorYTDYRoaGlCr1XzhC1+gsLCQ7u5uae3113/91+zYsYPa2loyMzN59tln2bx5MyUlJcRi\nsUVP7Ir68/j4OJFIRN4idTodZrOZ48ePk0gkqK2tZfXq1USjUf7gD/6AL37xi7z22muEw2GAj7xH\nbph9lijy9/f3Y7PZKCwspL+/n6mpKYqKilCpVPT09NDW1obBYKCwsBCHwyGFbETmuRikinYbjUYS\niQRzc3OUl5ej0+no7e2lurpa1kCHhoZYWFjA7XZjsVjkdUeJTElk02Ij+3w+DAYDVVVVGAwGVqxY\nIXUzwuEwBoOB3NxcWZNVCmq1Wrqne71eiouLpbZKVVUVPp+PaDTK5OQkbrebgwcPkpmZidvtVkxU\nSNyURMaWl5dHVlYWJ06cYG5ujj/7sz9jamqKH//4x9KlJRQKoVaruXz5MoWFhWRmZi46c0u9IguX\nE5vNRmlpqVR427BhA1qtltraWrmnxT+VEhYSokAWiwWdTidV8Lq6uujp6aG8vJz09HT2798vM/7b\nbrsNm80mnVl+3UHnWiGSgZmZGXJzc+UVf2BggP7+ftatW8dPfvITmpqaqKyspKGhgdHRUWpqahQd\nUxcZrMlkorq6mng8js/n4+zZs5jNZrKzs+V3/d5771FTU0M0GiUzM1PW7JWA0NgRv1paWsjLy5MG\nFYWFhVy4cIFIJMLo6Ki8jZrN5ms2DblhetKiI2swGKisrCQajaJSqcjPz+f48eMEg0G52VeuXClV\n39rb24Er3WQl1pGqtxCJRLjnnnsoLCykpaUFnU5HaWkpPp9P1mPLy8ux2+3EYrGrgqoSa9FqtWRk\nZMgsMisrSx4QQv2vpKSE3t5eaVck/rtSql7ieQjqoV6vl9q84qZz8uRJ/H4/JpOJ8fFxurq6MBqN\nH6K/XStEcBamCoLVYjKZpG/cD37wA6ntnZ6ejtVqRaVS0dvbi9FoXHRdHH6ltiZ8FSORiJSrfe21\n1ySTIz09nU2bNkm1tYWFBUKhkBR9UmId4nkYjUZisRhHjx7l0qVL5OXlEY/H+c///E96enqorq6m\noqJC1l2Fm4wSB0Yq9XJ6ehqz2czY2Bitra3U19fz/e9/n0HoXmcAACAASURBVLy8PP7qr/6K3/7t\n32bp0qW8/fbbmM1mdDodarVaMVMI0bh0Op2UlJSQSCTIzMwkEomwbds21Go1RUVFhEIhTp06xcaN\nG8nPz6e8vFyWNJW4eep0OiwWi6SA9vb2SjVEcRvt7OwErugB1dfXY7fbycnJkT/LR/57F7XqjwCN\nRoPFYuHTn/40O3fu5JVXXqGmpoa2tjY6Ozv5yle+wpkzZ1i/fj0PPfQQDQ0N2O12Xn/9dTQaDZWV\nlYoJ3QuKn1qt5g//8A/Jzs7mxIkTPP/881y8eJG7776bvLw8Pv/5zxMKhThw4ADl5eVkZWVJNsFi\nIGqvGRkZOBwOTCYTGRkZUu7xX//1Xzl27BhPP/004XCYhYUFDh48SE5ODvn5+UQiEcWCdCKRIBKJ\nMDY2hsFg4IEHHmBsbIxkMkljYyNZWVkUFBSwefNmSbPKy8ujvb2dYDCITqdTTMtZq9USCATo6uqi\noKCAz3/+85jNZhKJBN/85jfp7e2lt7eXsbEx+VGmp6czOTlJeXm5ImsQ3PhwOIzP52Pt2rX09fVh\nNBq5//77aWtro6amhoWFBSYnJ8nKyiIcDssDTjSqFoN4PI5KdcUqSjgaNTc3Mz09zSOPPEJfXx8P\nP/ww9913n6SIPvXUU4yNjVFZWYlWq1VMR1kkDIJdYjAYqKuro7a2lk9+8pO89NJLPPLII5hMJt58\n803y8vKAKz0OYVSsxF4V+7S0tJSpqSnJ0XY6nbS0tLB3717+4R/+gYyMDJ555hl0Oh2ZmZmsXr1a\n3uAXG6RFYqXT6cjNzcVgMKDX62lsbCQvL4+LFy8SCARk4/uRRx6huLiYwcFB9Hr9NTORbtjEobjC\niWGV9PR0gsEgKpWKJ554AqfTyU9/+lMmJyc5f/68tGmanZ2VAt6LhXhI8XhcNt1ef/11Xn75ZRoa\nGqSjgvh/LRYLHo+H3t5eacmuFL1K/LLb7WRlZWG1WonFYoyNjeFyubj11lu5dOkSTU1N6HQ6+vr6\n8Pv9suSixDpEcBUSslarlZqaGtavX8/Y2Bj79u3j8OHDLCws0NfXxw9+8ANyc3OpqamRDTalrtQC\nPp8Pv98vraD++7//m56eHlQqFRs2bOBLX/oSTzzxBOPj49IAFlCMzQBX3rGoYYpG3JIlS1iyZAkl\nJSWEQiHa2tqkc1AwGCQcDitGvxNrSCaTeL1eNBoNu3fvJjc3l71791JeXs727dv50z/9U7797W/j\n9Xqlz5+4JSpJN5ufnycWizE8PMzIyAhWqxWAH/zgBxw+fJif//zn/PM//zMDAwPSKHlubk7RdwJX\nDq/x8XGpznj8+HH6+vqwWCw8+OCDktNfUFDAG2+8QUtLCxkZGYqUSgVEgBXuL+Pj45jNZjnDUFdX\nx+joKAMDAxQVFbFr1y6pUX+tlmY3jIIn6mQdHR1YrVacTicjIyNkZmaSkZHBiRMnuOeee6ipqSEU\nCnHp0iVpfllUVKRYmUFIg4oMNh6P4/F4yM/P58UXX+Stt94iEAjgdDqpr6/nwoULRKNR7Ha7pBMp\n0TgEZBNQNHmampro6Ohg/fr1OJ1OGhoaWLVqFbm5ufT19VFYWCi945SQLRXvxGazsWnTJpqbm7nn\nnnuIRCKkpaWxevVqmpubGRwcZP/+/ezfvx+tVktfXx/9/f1S21eJG47IlLKzs6mtreWDDz7AYrHw\npS99iXPnzrF3717OnDnDfffdx2c/+1na2tpYWFiQlklKQHxAgkHidrupr69ndnaWkpISDh06hMfj\nYdmyZTidTqampvD7/UxPT8shLKVYSCIwiglLh8NBSUkJQ0NDdHV1MTg4SHl5OWazmampKW699VYu\nXryIRqNBq9VeEx/3f0I0GqWgoACDwcDp06fxer1MTk5y5513Ul1dTV9fH5/61KdYv349jY2Nkl8u\nBjiUCJALCwv4fD4uXLiAw+Fg9+7ddHZ2cujQIUmHFD2uH/3oR5w7d46CggLOnz/PxMSEYjXp+fl5\n4vE4IyMjqFQqdu7cyfbt2wkGg/yf//N/SEtLo6ioiLVr13L06FEsFgtzc3OEw+GrDDs+Cm4ou0OU\nGTIzM0kmk7z//vs0Nzfj8/nYtWsXdrsdj8fDpk2bCIVCdHV1Sa6oErU+cdUQV1Kr1YrJZJKTQrOz\ns4yMjLBu3TpmZmYYGhrC6XSybt06CgsLJV9UqQxBZKNqtZqlS5fKTN9ut9PX10dVVRVWq5Xh4WGq\nq6tlZi/qyIt9JuLvE87X2dnZ2O12lixZwq233kpHRwf9/f2sXbsWr9d71aavrKyUIu+LRap2sslk\norCwkNHRUYxGI8uWLSMUCkkX5lOnTsm6cF5enhwFVoqOKBpUZWVlFBYWYrFYcLvd2Gw2Xn31VaxW\nK3fddRder5fTp0/LnoIwJBAUwsVAPNN4PC5ru3v37kWj0bBlyxZJC7z99tuli3lXV5f0IRR7VIln\nIkpipaWluFwufD6fHARrbm6mu7ublStXkkwm+elPfwogeycimVCKoxyPx8nJycFms9HY2Mjo6KiM\nIxMTE7zwwgvcfvvtmM1m3G4309PTnD59GkA2+hYDcQv3+XxkZ2cDV4btRBPVaDSydOlSpqamGBkZ\nYXh4mIqKCnlzF9/rx5LdAcjmmE6nw2634/f7JbfU6XRSXl7O6dOnsVqtFBUVkZGRQTAYJCcnB4fD\noUi2JjifBoOBiYkJaZjZ0dGB2Wxm8+bN0iqop6eHSCTC5s2b0Wq15OTkSLucxU5RidNU8HGTySQu\nl4vGxkY5LDE+Ps7y5cslu8JsNstsQCknEFGfF1oUBQUFbN++HbfbzcaNG/n5z3+Ox+MhNzdXcqN/\n+MMfEovFqKqqUmyKSxw6c3NzRCIRkskkoVCI9vZ2jEYjWq0Wo9FIaWkp1dXV+P1+1qxZw5o1azh/\n/rzMHpW4bc3Pz0v3bxHozGazpBqKhqqoh87NzZGVlUVGRgZGo/FDmibXAnHzFN+LxWJhfHyc6upq\nNm/ezIEDB4jH43R1dWEymejp6cHr9VJZWUkwGFSEbiYgpihtNptkXYmyQzgcJplMkpeXJ/nidrtd\nmr8qaeWVlpaGRqPhlltuQa/X89prr2G323nggQfQarU0NTVJ6qQ4tI8dO8aFCxcoKioiPz9/0UEa\nrtCIw+Ew27Ztw+v18uKLL3Lx4kWi0SilpaWsW7eOY8eOMTk5SU1NDenp6QwMDFBZWSknU1ONi/83\nuGEUPOEiYbPZeOONN/jggw8oLy/n0UcfZXR0lHPnzpGbm0tBQQH19fXU1dVRVFQkA5MSNS7h6pCZ\nmcnJkyfxeDx86UtfIjs7W9pUVVdXc+bMGZlRGgwGrFYrgUBA0q0W7bTw/1gEBoNBul6fPXuWl19+\nGZVKxX333YfL5aKrq4upqSnMZjPRaJT8/HysVqvUF1ksRHAcGRnB4/FQUlLC/v372b59O3v27JHj\n4a+//jovvPACgUCAxx57DI1GI+3OlIDgrwsvv4yMDO677z7OnTtHOBxm/fr17Nu3D4CsrCzS0tJk\nsLBYLLK+r0R9XBwWZ8+exWAwoNFouHDhAnq9nhUrVmC32/nqV78qByY8Hg8ajYaysjJ52CmxBmH0\n29TUhN1ux+VyMTExwb/8y79QU1PD5s2b+eUvf4nRaMTr9fLggw9isVjYv3+/ZKgogUQiQTKZZHx8\nXHpwrl27VjaX4Yp79+bNmykuLuaFF16Qo9l+v/8qt6NrhShn1NTUUFVVJQ9Lt9vN5OQk0WgUnU5H\nc3MzLpcLr9fL22+/zezsLGVlZdhsNkXYYXDl3Wi1Whmk29raePTRR7HZbFy4cEG6zO/evZvy8nIe\neeQRsrKyqK2tldIBHxU3jIInIDKe2dlZ+vr65JVFUKnOnDmDVqvlzjvvxGg0MjMzoyjlTAweGI1G\nzGYzmzZtIh6Pc+LECVpaWjAYDCxdupTs7Gy8Xi9NTU243W50Op0igyyA1OwwmUxysvDkyZOcOHEC\ns9nMkSNHCIVCUgtBcHV1Op0cMVUCKpVKcmCDwSDz8/PU19cTDAYpLi6mpaUFi8XC+++/j8fjobq6\nWm7Ozs5Oec1XqokpGC/9/f24XC45dJSenk4kEpHaHVqtlubmZpLJJFarVdGgJNYxOTmJ1WqVY/sZ\nGRls3LiRhYUFTp48SXl5OSUlJdLmSzQNlaRoajQaRkZGuHjxIk8//bR0yRZNVa/XKzN+ITYlArxS\nrAoxyqxSqcjOzqaqqgqVSiX36eTkJC0tLYyPj7Nv3z6MRiM2m02yQpR8HllZWTQ0NNDb20t5eTmF\nhYWcPHkSo9FIWVkZTzzxBAsLC7z99tssX76c0tJSJicn5QSmEtDpdFKErKCggHA4zMmTJ1myZAnj\n4+OMj48DV2zGOjo6CIfD5OfnE41GrzmO3bByh2gijIyM4HA4+MxnPkNfXx+hUEiaR95xxx3k5OTI\nEVzhM6hUhiIm/aLRqLzW7tu3j/n5eX72s58RiUT49Kc/zaZNmxgZGWFkZIRoNIparcZkMn1ItnQx\n6xD82kgkQkNDA9u3b6erq4uKigoOHTqEWq2mp6eH9PR0MjMzGRsbY3R0lOnpablJFvsBpD7XcDhM\nV1cXTz31FEajkbGxMR577DEqKirQarVs3LgRnU5HR0cHoVDoqj7DYiF+lrS0NJYvXw5c2eTV1dXy\nNnPnnXdy4sQJBgYG5HCUCNBKmq9qNBrsdrs8zBsaGqivr6evr4/x8XF0Oh1DQ0PU1dVRWVmJxWLB\n7/crwgcWEPVXrVZLXV0d586d48SJE+zcuZNNmzbJEeMvfOELnDlzhvb2do4fP47BYJCcc6UOckGd\n7e3tJZlM0tbWJgdtKioqyM/PZ+/evZJRUlVVJd3clRqPF72sVGNgIUS2YsUKcnNzaW1t5ac//SmJ\nRAKLxcL69euZnp4mFArJGLJYLCz8ytvwwIEDOBwOWlpaaGpq4jOf+Qy1tbXSVV6Y4d5xxx1oNBpp\nTHstuGFBWnBQBedyZGSE2dlZ3G43t956Kxs3buSzn/0sXq+XEydOEIvFroscppAdtdlsUh0rMzOT\nz372s8RiMSorK6V0qMlkQqPRoNFopK6yUjU20bTz+Xx0dXUxPT2N0+nEZDLR2NhIOByms7MTtVpN\nQUGB5IUqKUMp2CoqlQqXy8Xc3BxlZWXodDqi0SixWIzx8XHsdruUoxRuyEpCPFdRftHr9VRXVwNw\n6tQpBgcHZS/BZDJJ2p3InpVWfBNNZcHayM/PR6/Xy+eh1+tJJBKSNSCusErtj9TGYWZmJhs2bGBi\nYoIDBw5gNBr55Cc/SXFxsdSUEaqBSsv5Coj+ycjICC0tLZhMJioqKnjyySdJJpMMDg4CYDL93/bO\nNDau8mz/P8/i2Tye8eweb/EyODZ2nGBnIw1JaCEhCd1b0QqkgpT2C1SldBEfoGrVTaraT7xCFJW2\n0LIIaCkliwIoQBOW2AQ7ix073rcZJx57ZjyLZzzjeT9Ez8OY8kp/4pP88+FcEhIKYc4z55y5n/u5\n7+u+rhKy2SwLCwuKjcgLiIauy+XiS1/6EolEgqGhIYLBoNSiDwQCkuo7MjJCJpMhnU4rtg6RDIg6\nc1dXl5wV6OnpYWBgAIfDIU8RiURC0o0FQeBKcE2lSjUaDXa7HZ1ORy6Xw26309jYKMeSBwcHCQaD\nzM7OrtDGVZJvKerBYnBEp9MRjUaJxWKkUilGR0exWq1yaks0pZQccS1ci81mo7a2Fr/fTywWo7Oz\nkzNnzhCLxWSAFELmSql5FV4fkPoMZrNZNoQWFhYoKSlZIawuFAQLNwolNy34OIsUSogi6JhMJubm\n5la4hBfqfCu1DvE5FotFGi+0tLRgtVqpqamht7eXNWvWUFRUxMWLF6/KvShch6AZ2mw25ufniUQi\nvPLKK5KJk8lk5LuhZFAshFarxev1yuzZ6XTS0NAgBzVEvVen08lTntDbUPKe5HI5IpHIioxWPCeh\n4ZxKpQiHwywtLV2Ve1IoIavT6Vi/fj1erxeXy8WHH35ILBaT6xGlM3E/rjSGXHM9afj4mD0/P09n\nZ6fMzPr6+q7ai1YIUe/L5/PSol48+EQiIWUWxVFaPBglA6SAw+GQI80ffvihrP15PB7q6+slI+Vq\nXLsQQtkvn89jt9spKytDr9dLTqhAYaamdAYrPn9xcZHBwUF52ig0gRA/fiW1vT+JT/ZQ4DLrQyg3\n7t27V6rCKal1XohCcSKRpDgcDsrKyuS1FhcXKS0tXcFaUDqREBA9FLj8++3v72d4eJjl5eUVQk6F\nLkdX49mk02lZ983n83g8HhkET58+veLvXq1YIuYLfD4fXq9XfuetW7cCK9lXhcnmlT6boqv1UFWo\nUKFCxeqhGtGqUKFCxXUMNUirUKFCxXUMNUirUKFCxXWMq944/MMf/rDCkl00Wgq5rUJLQ/BvhX+f\nmHYqrJv/8Ic/vKJuxM9//vP/Kr4LQZxMJoNWq5W+gyUlJZLyIyyZPmmZ9bOf/eyK1vGLX/zivyzq\nxcirVqtdodFc2IRZWFiQNMbCJuKjjz56Ret48sknP9WivtDjTzRThWCPGDcWTdfC53LgwIErWsd9\n9933qU0RwfcVTCAxSFRI1fu0ZupTTz11Rev4zW9+86n3o1B1MJfLSVNRwbfXarUrdKTF+h5++OEr\nWsdDDz20Yh2FTBYxeJTL5eS7Kiiihbzkwobd73//+ytaxxNPPPF/NquEsJaYO0gmk3IsXvyePtnr\n+t73vndF6yiMHwKFKpKiOSgUC4U58v/V0L3S+FF4P8TnFhIKxHuwtLREPB5Hr9fLQaNCJ3nx/3yW\n+3FN2R2F9BWz2YzBYJBaHhqNhtHRUclbjsVixONxEonEVV1PJpMhl8uh1+vxeDy4XC58Ph+RSERO\nRAo7IyUnucT1RWdacH8Fk8FiseDz+chkMgwODjI5OYnNZpNB+mrwYQEpzSnI906nk8XFRYLBIJlM\nhrVr18rN5Gp2z0WAFtQqcS3B/tDpdHIzvxrNb/FsxEaQzWblcyoqKiIYDEqJ0NLSUvnnSumqCBRe\nP5lMMj8/Tz6fx2q1Ul5ejtFolGYMmUxGct+Vfj8KOew2mw2bzUY4HJY85bq6Otxut5SQFYwkpRke\n4jOLi4tZWloinU4Ti8XkxCVc5mtXVFRIoSexfqXwSfaP0WjEaDRKV/dEIiFpkcKNZTVCU9e83CEy\nVqfTidfrxWazkcvlCAaDUg9A/CCFRoWS47bw8SBJLpeTU41CyHvt2rXU19fjcDjIZrNcuHCBqakp\nRUdcBYqKiqTwfyAQwOPxyBH5rq4u9uzZwze/+U30ej19fX0YDAa8Xq8cslES4kclsva5uTlisRhm\ns5lIJMKxY8fo7u5m7dq1lJeXy+eidDAQ2SKwQlFOo9GwZcsW6urqiMfjirmxfBpEELBYLJLiVlxc\nTENDA5/73OdkBut2u+nv7+fcuXOKSQZ82loE33dubo7p6Wl8Ph8ej4czZ84wODjI8PAwMzMz0kle\nCYXET0KMnguHeKFjEo1GpatRR0eHHFQTv2Elg7QYJLFYLJSUlMjJ05qaGhobG9m1axd1dXWMjIww\nMDAgqXJXa8ZBDPksLCwwPj7OwYMHeeaZZ/jggw/o6enh/PnzDA0NMTk5STweJ51OX9Hv5Zqq4OXz\nl80ky8rKpBynTqdj69atpNNp2traOHbsGBMTE9TX17O0tCQJ64W74pVClFk0Go08vgM0NzdjNBrp\n6+vjzTff5F//+pf0WBQBu76+nlQqRTQaXfUIcOGYqsViwWAwcPr0ad5++210Oh033XQTfX193H//\n/XJQ4MCBA9x0001StS+dTq9qDQKi1FJXV4fdbmdubk7Kc/7jH/8gl8vx/e9/n3vuuYf5+XnC4TDH\njx/n9OnT1NfX4/f75SlgtRCa0larlfb2doaGhohGo/zpT3/itdde429/+xvBYJB33nmHP/7xjwwN\nDXH27FmcTicul2vVym8i0zEYDFRXV5NOpzl16pScHnO73ZSWllJSUsItt9zC3r17OXjwIO+8847M\nqJQ0ZBBiT8XFxfT09BAKhdi6dSvr1q1jcHAQl8tFLBbj9OnT+Hw+WltbMRqNcipUqQApuPLxeJyR\nkRGOHz/O5OSk1P4+ceIEv/vd73jhhRcoLi7mtttuo7m5mUgkIlX5VovCktPi4iKdnZ0kEglaWlow\nGo0cOnSIAwcOcM899/DGG2/wyCOP4PF4qK2tlbFntYFanKyy2SyZTAaDwYDL5cJkMuHxeNBoNGze\nvBmj0chjjz2GRqPhoYceoqenRyZkV3Lyu6ZBOpVKSU2O0tJSxsfHqaurkx5669evZ2pqisHBQTlt\nt2PHDjnAoNTxWqxlcnKStrY2qqurCYfDxGIxpqampEKdKIFoNBo58qqkBGQsFmNwcBCfz4fVapU/\nSJ/Px4YNG5iYmODVV1/FarViMpkIBoOMjIwwPz9PNptdtY+dyLpyuZwc+45EInKCqrq6mlAoxDPP\nPENpaSkul4vJyUlp/OlwOBQzXxXrKSsro6amhng8zuDgoLTPGhwcZN26ddx8881YLBa8Xi8nT56U\npyAlnovI1EQtMRKJYLFYMJvNjIyMcOLECdLpNBUVFYyOjvLb3/6WhoYGtm3bxvj4uGKejwLiVCEm\n2Gpra7Hb7fzhD39Ar9dz7733yvfz1KlT2O12KaUrvstqUXjqFDrNwgQ4Ho/z5ptvYrVaaWxsRKfT\ncf78eamAJ5yElIDIWoWZgM1mkwJsb7/9NktLSwwPDzM7O8vOnTu566678Pv9K8xflZhcFr0QIXwm\njEPOnDnDAw88wK5du/jud79LNptFr9cTCARkoiVOqZ/VgOCaif4LwezR0VFSqRR79uzB5XKxuLjI\n//zP/9DQ0IDb7WbTpk088sgj3Hrrreh0Otrb2+UOtNqXrrDYbzKZ2LZtG+vWrePFF1/krbfeIhAI\n4HA4OHLkCD09Pfz73/8mFArR398vRbuVcHgQm8TExAQAe/fuJRaLcccdd9DS0sJjjz0mPR1ramoI\nBAL09vbicrk4d+4cNptNEW1ccS+EM7rRaOTw4cP09/ezf/9+uWm0trYyNjbGkSNHKC0t5Z577qGy\nslLqRiil5SFkYcfGxqRy2ZkzZ/jlL3/JqVOnGB8fp6qqikgkwrPPPksikWDv3r0sLy8Tj8elxdlq\nkMvliEajdHd3E4lE+PznP8/MzAw6nY4jR45w7tw5vvGNb8hR/nQ6jcvloq+vT27iSgRHEZCy2Sxr\n1qzhzjvvJJ/Pk0wm8fl8NDc3EwwG6e7upq6ujtLSUvr6+mQdX2i1r/ZepNNp4vE42WyW+vp6fvKT\nn7C0tMTXv/51JiYmqK2t5cKFC9LurqGhgdnZWV5//XV8Ph81NTWrds4R2XMymZQSEhs2bCAejzM0\nNMTGjRvx+/08/vjjPPfcc/h8PhwOB7FYjLKyMqmlsVqIGGQwGGTiVGh799JLL9HR0cHvf/97Nm7c\nyIYNGwiFQqxbt45cLsfY2Ji0A/xM1131yv8fIOpqZrNZjkEHAgHsdjtOp5Ovfe1r7NmzB0B6/lVU\nVFBRUcHc3JwMBkrYVokOq9/v55ZbbmFkZITe3l6cTqfUSJicnOSjjz4im81itVqlM7bQJVgt8vmP\nLbw+97nPYbfbeeutt7BYLJSXl0snDL/fT1tbG+vWrUOr1eJ2u2XZRylXavGP3W5n7dq1ZDIZGhsb\n2b17N93d3czNzWGz2dBoNAwMDJBIJIjFYszPz5NKpRQL0GJUX9Tad+3aRUdHh3Rhbm5uJhqNYjKZ\nWL9+PRqNBp/PJ9ejhAqdsEaKRCKMjY2xvLzM7OwsS0tL1NbWcu+99/KrX/0Ku91OS0sLt912G6dP\nn+bw4cMkEgnF656iUS0caaLRKC6Xi7KyMtxuNzt27KCsrIz5+XnWrVtHdXW1NEdVonkoSgzCIaa0\ntJRYLEZ5ebl0E9q6dStut1vaePl8PoqKiqQQ1idZUVcC8W4YDAZMJhMLCwtMT08zMjLCe++9x+Dg\nIAMDA9IIQqPR8OGHH9LZ2bmid6KU+JVer5c9gkAggN/vx2g0sn37dikgp9frGRkZYXZ2lkwmw6VL\nlwiHwySTyc/8XK6ZxyFcbgS5XC5cLhfnz59ncHCQjo4O2traSKfTjIyMoNPpGBsbY/v27aRSKSl0\npETds7DT63a7pdj/9u3baW1tpb+/H41GwyuvvMLo6Chut1taNAGKGY0WFV228PJ6vWzatIlYLCaz\nhLm5OVpaWrBYLBw+fJimpibZxReuFyLIKwFR8jAYDFRWVlJbW8vmzZvZuHEjANXV1YyNjRGLxTCZ\nTNx0001EIhGSyaRitWgBjUaDwWDAbDYzPz9PX18ffX190h3dZrPh8Xiw2+0ygI2OjkohLCUgssdc\nLic3zKWlJWZnZ7nllltoa2vj1Vdfpbm5mVwuxzvvvIPFYmHnzp0r2CCrgahb6nQ6kskkExMTnD9/\nnubmZmpra+no6KCjo4MbbriBV155hcnJSfbt27eiSaaEnojo3wiRsZKSEnbs2EF5eTmpVEqKPrW1\ntRGJROjp6ZFaJ6JWK57TaiDuq2CDhcNhZmdnCQaDLC0tkUwmmZqa4u6772ZhYYFTp05JFUfBqlCy\nDKXRaIhEIly6dImioiJOnDjBwYMHqa2tpa+vD5PJJE9CVVVVLC4ucvHiRSkz/FlxzZxZRPYnlNW+\n9KUv0dLSwtatW3nvvfeYnp5menoap9OJ3++nsrKScDjM2NiYdFNRAoJbubi4yEcffURraysajUYK\nPeVyOd577z1pILl9+3aam5t59913WVxcVMQSSLxwQuktFArx8ssv8/TTT/P8889z//33EwqFaGpq\nIhKJcOrUKRoaGshms9TV1ZFKpRRpHIoAvbi4yMzMDBcvXuTcuXN0dXXx0Ucf8eCDDzI8PMzQ0BBt\nbW3E43HWr1/Phx9+SCaTwel0KnaUFGUTs9ksTUVvpcK0KwAAEUBJREFUv/12bDYbr732Gvl8nrVr\n16LRaEgmk5SUlDAzM8PExAQOh0PWZlcDsRnrdDqqq6txu934fD60Wi2Dg4P85z//4cknn8TpdHLk\nyBGGhobYv38/ZrMZq9Uqm9FKZLBCIVHQy3bs2MG7775LV1cXmzZtoq+vj5dffpnu7m6i0ShPPfWU\nZDzAZRraat9TrVYrKZ/C5MHhcMhnEQwGeeONN6itrWVqaoo9e/ag1+sZGxuTus9KMLNE7DCZTBgM\nBioqKojFYqxfv54f/OAH/PrXvyYSidDZ2cmf//xn/H4/X/ziFzl9+jRms1kqOa72PRU9McGFvnTp\nEkePHiUUCrFt2zaOHDlCOBymvb2dUCiE3++nurqazs5OQqHQCj/Mz4L/Lyp4os5VWlpKPB5neHhY\nZssVFRUYDAYmJycxGo1YLBZFdmMBkWUIPuOaNWs4efIkR48e5d5778VisXDhwgXJAAmHw9K5WRhr\nKlEbFw/r/fff5+LFi4TDYbq6ujh06BAej4f29nbq6uqkK/e5c+dkOUSn0ymS1RcqrQknGLhsrplI\nJDCbzZw/f15aQ4VCIclFtVgsimcoQl87n89z++23s2/fPmpqanj99dclB9XhcEjqm2geie+gxPVF\nBiuOq7FYjE2bNtHe3s6bb74JQCAQoL+/n0wmQ0dHh9TZVuodFVxgkYlaLBZuvfVWxsbGGBgYoLKy\nUnr5fetb35LHaL/fz9DQkGLO2GItRqORZDJJKBSSZQyPx8OhQ4ck7U+n07FhwwYef/xx3G431dXV\nkrKnFATbxe12EwwGCYfDRCIRqqqq8Hg80orO6XQSDAbl2sX3UAJi43G5XDJrd7lclJeXc+HCBZqb\nmykrK+Ps2bPMzMzg9XqJRCIrlDU/K65pkNbpdKRSKfR6PQ888ABLS0s8/fTTLC4u4nA4KCkpoaOj\ng6amJrRarWR+xGIxSS1aDUSXWq/XMzs7y9tvv01FRQUOh4O2tjbWrl1Lf38/GzdupLW1FavVyosv\nvsjAwAA2mw2Hw4HRaFSMg5pKpRgYGKC/v5+//OUv/OAHP+DnP/8527Zt49e//jV33303u3fv5tKl\nSxw5cgS/38+2bdu4ePGiPM6tBiJDEea7MzMzfP/736e/v590Os2xY8fQ6/WUlJTIo65Go6GpqYlc\nLkcikVDMBECr1bK8vMz7779PTU0Nhw8f5rnnniOTyeD1etHpdPT29qLVatm/fz/V1dV0dHTgcDgY\nHx+X7herhRiSEdxoYR7a0NDAj3/8Y4qKinj++edlQiF8GK1WqzSGUAI6nQ6Px8Pw8DDBYBCn08nN\nN9+M2+3mtttuo7u7m3w+z/r166U+OsATTzwhh6+UcC3X6XS43W5aW1vlvRBDYF6vl0AgwBtvvMGt\nt95KT08PFy5c4MCBAxw/flwG1NVCnMSTySTRaBSbzUYikaCrq4tQKERNTQ3RaJSmpiaefPJJFhcX\n6enpobGxEbfbzcLCAnq9XhFfUJGwNTY2UldXJxkluVyOhx9+mDfffJOjR49y4MAB+QwsFgvhcBhA\nMtU+C65ZkBaUINEc2rZtmwx2wWCQdDqN0+lEp9MxPDxMPp+X3FMljpCF68hms9Knz+fz0dHRgdPp\nJJ/PMzw8TCKRoLy8nHXr1hEIBJiYmMBisWAymRSpBYtMOpVKcfvtt9PS0kJ3dzcffPABS0tL5PN5\nmpubaW1txWw2s7CwwA033CC1hIX1lhLQaDSSbjg8PEwgEGB5eZmenh5uvPFGAHp7e9m1a5f0dBP0\nQSUto8QAidPppLy8XFLPRFYSCATYsmULH3zwAZcuXaK9vR2n0ykbOUrqbWs0GjweDzabDa1Wy+jo\nKD09PQQCAcngqK+vl64cy8vLJBIJiouLV4yIrxYmkwmj0YjT6SSRSDAxMUEikSAUChGPx2lrayMc\nDjMxMYFGo5EBSckTjrDPqqqqIhaL8fe//53m5mb27dtHbW2tfA89Hg+VlZU8+uijfOUrX+Gtt95S\n/LkIS7P5+XlZL19cXMTpdLJmzRpKSkro7e1lZGSE5uZmOb4fj8cVSSREkpdMJhkfH8fj8ZBIJOjt\n7cVqtbK0tMSRI0eoqqqSDc58Pk8kEpEN+utW9F8s0GQyUVpaSjqdli9fJBKhr68Po9EoyxzRaFQ2\nLMTup8RLV3iTM5kMPp+PPXv2sHv3brxeL2fPniWRSEgKmDC7XLNmDUajUbGXTox+GwwGdu7cSW9v\nLy+++CKJRIJLly5x1113sbCwQENDg5x8u/nmm5menpZNPCU97ARF6tKlSzQ1NVFVVcXU1BT19fV0\ndXXJDr2YOrt06RLT09OUlJQotnHpdDqsVis2m42amhrGxsbktJ9er8fr9VJcXExvby+RSASr1crE\nxAQTExPSEGC1EM9Wr9fLqbZoNMr4+Djj4+OSaXHnnXcSiUQ4e/Ysu3fvJhwOc/78eXkyUaIcJuB2\nu+VG1dvbi91ul6UWr9dLZ2cnXV1d2O12KioqSKfTsja92vKLmFwUZQNhiiHYVqdPn6ampoaysjIW\nFhYAaGpqIhgMEo/HFZsIFfFDr9djNBqJx+Ns3ryZhoYGDAYD0WhUNpvfe+89JiYmaG9vJ5lMyrUq\n1TfJ5y/7k/b393Px4kWi0SihUIhcLkcsFmPz5s1YrVYOHjzI0tISVVVVzM3Nyfh2JSy1a9Y41Ol0\nmEwmNmzYQE9PD1qtljVr1tDX10dTUxOtra0cOXJEEsQXFxeZmpoik8nIzFOJdSwtLTE/P09VVRV3\n3HEH8Xicl19+mdbWVmZnZzGZTOTzef7xj3+QSqWoqakhm81iMBgU0wEoFAh65plneOWVV9i+fTv1\n9fVMTk4yMzPDs88+y3e+8x3+85//4PP5aGxs5OTJkwwMDOB0OmXwUgLCy6+uro5wOExvby/T09NU\nVVVht9vx+/1MTExgs9nQ6/WcPHlSZuBKZPTiWG0wGBgaGuLUqVP4fD4WFhaorq5m3759PP300/j9\nfubm5ggGg+j1es6dO0c0GsXr9UpbttVC+FkKeyyPx8P+/fvJ5/N0dnYyNTXFa6+9xpkzZzCZTNTX\n1xOPx2UWrcQmLtgMs7OzBAIB4vE4//znP+W8wNGjR3E6nVRWVjIxMYHZbKampoZ8Po/P51NUvyOT\nyXD+/HkOHz7Mrl272L9/P+FwmLfffhuj0cjMzAwzMzOcPHmSDz74AKPRSE1NDR6PR+pXKAGtVitr\nv52dnVRVVXHjjTcyMjLCsWPHsFgs1NTUsG3bNmpra4nFYoRCIdmzUOo9FZODIkt+6KGHKCkpYWRk\nhBdeeIFAIEAmk6G6upr169dz7Ngxcrkcfr9fylx8VlyzTFoQ8e12O263m+npaSwWC8lkki984Qto\ntVqGh4cpLy+nrq4Ol8uF2WyWjSolILJzg8Eg6Upnz55lcXFRHvMFuyQQCGA2m4lGo5I/q6SNlWhO\nBYNBtFotDoeD7u5uurq6aGxsZO/evQSDQf75z3+yY8cOKisr/0ttTQkIcr2Y5BJ1ZofDIevVFy9e\nJBKJUFJSQiqVwu12y/+mxP0QGgzRaJTBwUGmpqbw+XxMTk4yPT2N1+vlxIkT/OxnP6O/v5/BwUHa\n29ulqJFSfQKRcQnVPQGROJw4cYJ8Po/ZbKaxsZHy8nL5Y7VarYoJCol1CI0SrVbL7bffjtFoZHBw\nkO7ubsxmM5WVlUQiEaanp5mampKaLkolNYCkIAaDQQ4fPiyHfdxuN/Pz85w5c4Yf/ehHOJ1Oenp6\n2LhxIzU1NVLvRqlNS3yfiooKwuEwzz77LNXV1dTU1NDU1MTc3JzcpMrLy5mampLXVpK/LkgMFRUV\nLC8vc/jwYfL5PH19fRw6dIj77ruPTZs2sbCwwOLiIna7XVJGr3TW45pl0tlslvn5edkENJlMnDhx\ngnPnzlFbWytV8cQknWAbiC+l1I0uLi7G7/fj8/kIh8O89NJLmEwm0uk0Z8+epb29nT179tDe3i7V\nzpQe9xWbhRjt3r17N1/96ldJp9NMTk7y97//neLiYl5++WU0Gg3xeJyzZ8/icrnkA1cCIqNfWlpi\ncnJSKttlMhnsdjsfffQRTqeToaEhmSXdddddNDY2StaLUvclk8mQSqVwOByUlpZKB2atVsutt97K\nN77xDUZHRxkYGKC4uJjq6mqcTidTU1OKHO3h42CQy+UYGBhgdnZWjsCLYZWdO3dSVlZGX1+fPHVk\ns1mKi4sVd8eOx+OMjY0RCoV466235MDEnXfeyfz8PF1dXXR1dTE1NcXWrVulrKxSA0YiyDkcDh5/\n/HFKS0v561//yrvvvovZbKasrIydO3fK7LaiooKvf/3rzM7OMjc3J6VDlfjtiuGRXC5HS0sL3/72\nt4lEIhw/fpx3331XDmCNjo7y0ksvSekJUWJQCuKU43Q6JXW3qqqKHTt2sGXLFmw2Gz/96U/x+Xyy\njxONRolEIldsmnzNGoeFRfOSkhLuuusudDodXV1dHD16lNLSUm688UbJYxYPV8mOeaEWsVANc7lc\n2Gw2DAYDW7ZsoaWlZYW4jciOlBoeERCKcwCJRIITJ05gt9vJZrNks1k2bdpEUVER8Xic2dlZysvL\nV4y1KwHxeSLopdNpOUCUTqcZGxtDo9EQDofRaDSUlpbKH57Qm1YSomEnJtvEYMnhw4c5f/48lZWV\nMognk0nFHaELM52ysjKWl5cJhULA5ROHkAsVymZGo5FEIrFCu1ipgASX74fVamVxcRGr1UppaSlr\n1qwhGo0yPDzMjh072LhxoxQBK1QNVApiExczAmfOnOH48eM0NTXx4IMPEgwGeeGFF8jn83i9Xvr7\n+1covilxP8RzyefzUi1TzFUcO3aM1tZW9u3bx+zsLF1dXYyNjVFZWSk5/ErLCwOyBl9bW4vNZiOT\nyWA2m/H7/Xz5y1+WqppCq6PQkPaz4pqyOwA5dvv++++TyWQ4ffo04XBY8qTFl7kaWrTwcWBKJpNE\nIhHWrFlDRUUFHo9Hyg4KnQCxYVwNzeJPnhBE88NsNvP5z3+euro6urq6ZMNSHB2VvidicEJo4tps\nNkl1Eq7uTqeT5eVlzGazHGtVWj4WkOsoLi6WgkJCXKipqUn+u5j4uhpSqSJ7tNlsmEwmrFarvPc3\n3ngjer2eeDwuB5GSyeQKkXklISZBnU4nW7dulRzxU6dOEY/HJWfZZDJJ0X8lJUrF90mn00xMTMgE\nYt26dWzevJnGxkYMBgOBQEBuKMFgUJaMlEShtEQ+n5d6816vl7a2NgCGhoZIpVJYrVZpiqD0GuDy\nfRExYmJigtnZWebn59myZQtbtmyhrKxMVg5SqdSq78U1F/0XgvGdnZ3A5RfR7/fLiSCRxYqj59UI\n1Pl8HoPBgMfjwev1ynWIhy/WWrgDX60NQ7xIc3NzzM/Py+tMTU1JzQiNRiOpeUqvo/DzxPcVm4U4\nntlsNjnBJmh3SgckAWE4AJdrwQKCIlleXg5APB6/KtcX91hoYACyfCC4rk6nUxpViPfkapkw5HI5\niouLueGGG+TQUXt7O4DM8sVzuxrrEIyoubk5AO644w7g8mYmuNoiSGq1Wvn3lIa4z+KeZ7NZysrK\npLzuG2+8QTabldohhe/11XhXi4qKsFgsrF27Vl5Dq9UyPj4us3ehVb/qa12tH5sKFSpUqFg9VCNa\nFSpUqLiOoQZpFSpUqLiOoQZpFSpUqLiOoQZpFSpUqLiOoQZpFSpUqLiOoQZpFSpUqLiOoQZpFSpU\nqLiOoQZpFSpUqLiOoQZpFSpUqLiOoQZpFSpUqLiOoQZpFSpUqLiOoQZpFSpUqLiOoQZpFSpUqLiO\noQZpFSpUqLiOoQZpFSpUqLiOoQZpFSpUqLiOoQZpFSpUqLiOoQZpFSpUqLiOoQZpFSpUqLiOoQZp\nFSpUqLiO8b++uGpyvxfcsQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12d604f28>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for index in range(100):\n",
" plt.subplot(10, 10, index + 1)\n",
" plt.axis('off')\n",
" w = encoder2.Γ.data[index,:].reshape(28,28)\n",
" plt.imshow(w, cmap=plt.cm.gray_r, interpolation='nearest')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"やはり、人間の目ではそこまでPCAの結果に似ているようには見えない。 \n",
"今回もまた、最適解に任意の正則な $D_y \\times D_y$ 行列 $Q$ の分の自由度があるせいかも知れない。"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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XLlxo05Faql56wdi7dy899NBDpNVqafz48byeyIQJE+jHH38korZF7sOlIzjL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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x129a6c8d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 参考までに符号化して復号化した結果を確認してみる。\n",
"decoded2 = [encoder2.decode(encoder2.encode(x[0][None,...]))[0,:].data for x in train[0:100]]\n",
"\n",
"for index in range(100):\n",
" plt.subplot(10, 10, index + 1)\n",
" plt.axis('off')\n",
" plt.imshow((decoded1b[index].reshape(28, 28) * 255).clip(0, 255), vmin = 0, vmax = 255, cmap=plt.cm.gray_r, interpolation='nearest')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 再度PCAの結果を初期値に最適化してみる"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"encoder2.Γ.data = pca.components_\n",
"encoder2.ξ.data = pca.mean_"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"epoch main/loss elapsed_time\n",
"\u001b[J1 0.00591913 3.08853 \n",
"\u001b[J2 0.00590605 5.99161 \n",
"\u001b[J3 0.00590546 10.1495 \n",
"\u001b[J4 0.00590976 15.1233 \n",
"\u001b[J5 0.005912 19.8142 \n",
"\u001b[J6 0.00591449 23.6885 \n",
"\u001b[J7 0.00591639 29.5436 \n",
"\u001b[J8 0.00591942 34.0305 \n",
"\u001b[J9 0.00591968 36.8851 \n",
"\u001b[J10 0.00592151 40.5516 \n"
]
}
],
"source": [
"train_iter = chainer.iterators.SerialIterator(train, batchsize)\n",
"updater = training.StandardUpdater(train_iter, optimizer, device=gpu_id)\n",
"\n",
"trainer = training.Trainer(updater, (10, 'epoch'))\n",
"trainer.extend(extensions.LogReport())\n",
"trainer.extend(extensions.PrintReport(['epoch', 'main/loss', 'elapsed_time']))\n",
"trainer.run()"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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ZZ9hroqtKp0aaxkKn7OjoKKxWKzweD2KxGI4dOwabzYZGo4GhoSHY7XZsbm5CoVBsM2id\ngIwBHQJ2ux3NZhNmsxnr6+uoVqvQarXI5/M4cOAANjc3odfrYTKZkEqloFAo+CbUSawP2M6VLxaL\nWF5exuDgICeqDh48iFqthgcffBDnz5/H3NwcxwK3trbYs+lkjYjfKXnkNpsN73nPezA8PIxsNouV\nlRVcvHgRGo0GExMT2L9/PxwOBwqFwpvYIZ2AvGiKe7rdbtx1112o1WqoVqvo7e1FJpPhUFA6nUYs\nFkMulwMAybxpMkiNRgPxeBxra2twOBzo6enB2NgYXnvtNcTjcQCXk83Dw8OcuwDA+YNOQcaZEpJm\nsxmjo6OYmppi9pFSqcQTTzyBc+fOodFo4MiRI7Db7exkSWE/gDdi7BRznp2dRbvd5jCc0+nEk08+\niVgshlarhX379qFer2/bs9dlTBq4PDDyjCkWTfQ2YgpkMhlkMhlsbGxwWKHZbPJ1RQpvia7r9Xod\nSqUSrVYLBoMBNpsNgUAAOp0Ob3vb2xAIBNh7INqZSqWSjG9JXj19d39/PzQaDeLxOPr7++FwOOB0\nOmGz2fgqJQgCTCbTtuKSTiEIAnNN2+02nE4nBgYG0NPTg97eXp77RqMBg8HAdCa6WUgFonCVSiWk\n02n4/X54PB709/djaGgIjUaDY5GUwMpms0in05xnkHIjUuil0WggFAohEong3Llz2NzchFqthsvl\ngsfjAQDesDsLrzodg1qthlarhcVigclkYi49OTMUMzeZTDAYDMjlcsjn8+yFSzUfcrkclUoFjUYD\nLpcLFosFAHD+/HnEYjHs2bMH/f39GB8fx/z8PKrVKuRy+TbaYqcgL7bdbsNgMEClUkGr1TIFrlwu\nIxwOc7zY4/HAbDZDp9Px7bzT9Up7n96vSqWCxWLh9+PxeJjx1Gw2USqV0G63Ua1WmSZ5XfKkgTcK\nAdLpNBKJBCwWCxsanU6HcrmMSCSCzc1NzM3NYWNjg7P1ExMTvOA6pZxRHKlSqfBCIqpOT08P7rzz\nTjgcDrzzne9Es9nEwsICx5XcbjcASHKVJA+lXq/D7XZjZGQEJpMJDocDgUAAExMTUKlUWFtbw/r6\nOpLJJDY3N6FUKjE+Ps5eOHksnYDegdfrhd1uxz333IOVlRVUq1VMT0+jWq3iqaeegs1mg1arRaPR\n4Ow6xWY79ZbI8Gs0GmYR0A3C6/XC4/FAoVBgeXmZjWC1WoVer8f8/DwEQYDf74dKpep4PmhOtFot\nNBoNx+gvXbqEs2fPolqt4tChQ3C73RgYGEA6nWY+N4VIpPh+qjy12+2QyWTY2NiAQqGAXq9HIpHA\n4uIiUqkUxsbGYDAYsLy8jEqlgmAwCJ/P96aCjt1CzO7w+XwcEw+FQlhaWoJKpcLb3vY23HfffbBa\nrfj+97/PN0SpGDdkYCmpXK/Xed2q1WosLy9jZWUFKysrcDqdGBsbg8/ngyAIGBwcRDKZZGerk3kg\n41yr1fgm7vP5+A+xgd73vvfBZrMhkUjgtddeQ61W45oDcQHWb4trZqRpY2k0GlitVuYCA0AymeQ4\nKPEsM5kMTCYTenp60Gw2JclWk/dZLpeRzWYhCAKq1SparRYymQzH0ogHGQ6HsbW1BUEQ4PV6O84Q\n7wR5Jj6fDyaTiT0UShRWq1Ve8Ovr6xw7puIfKUAeIyV7fD4fU4tMJhNWVlaQSqXYqwwEAohEIkil\nUpJ5SWLPlRgedF2Uy+Xo7+9HNptlXv3Kygo8Hg9KpRKKxSLnLKQq8JHL5exEULVnJpNhj8xqtcJs\nNnOYhZJmUlDNCDQfpVIJmUwG8XgctVoNRqMR0WgUly5dQl9fH/r6+rgkulAo8BqVai7EiUOtVotk\nMskVllRI4/P5oFarkcvlmIJHVFepxkE2oFAocLjBaDRCr9cjmUwiFAqh2WwyjzqVSnGxHBX6dAox\n+0ej0XBBldvthlKpxNzcHKLRKB544AEMDw9jZWUFMzMzHA2g371uwx20mD0eD/x+P9RqNZrNJorF\nIl/rcrkc4vE44vE41Go13G43DAYDSqWSJF4jcHmia7UaZ4JjsRjHqY1GI8xmM6LRKLa2tthbMZvN\nrB9Bp3inIAM0MDCAgYEB3mCNRgM+nw9utxu5XA4WiwXRaBTJZJKTELstL90J8tjkcjnC4TDW19cx\nMDAAnU4HvV6PeDyO5eVlZsJ4PB6YTCbmLVO4SIpxkMe2tbXFBwM97/r6OoLBIPL5PNPS1Go1CoUC\nVCoV1Gq1ZJQvcekzlfcCl6+2BoMBZrMZk5OT6O3t5SKkTCazzUhLdXARlS4ej6Ner6Ner0Or1WJh\nYQFra2swGAxIpVKo1WpIJpPMDZayGpUYFeL9SoVPTqeTS+SJWlssFlnuQaqbDfAGLZFusvl8nkvQ\nS6UScrkc57Dq9TqKxSK0Wi3PW6cgw0phF41Gw+uzWCwimUzi1KlTaLfbGBsbw8DAAJLJ5JvYHLvJ\nFVwzI02FGMPDw2g2m1hdXYVarWYPenV1FefOncP58+eRz+dx7733QqlUMhdUigISopDR5lpcXMTi\n4iLMZjMMBgNuvfVWhEIhPP3001hbW8Pm5ia/iHQ6zQkuKRIycrkcDocDVqsVhUKBGQMUbzt37hxO\nnjyJY8eOYWlpCQ8++CA0Gg1fMaWK8zUaDcRiMUSjUeh0OszNzcFoNMLhcGBhYYErMPv6+mA0GnH0\n6FFUq1X4/X726KXYBI1GA5lMBsDlhN3m5iZf6+lZI5EI3G43MpkMQqEQRkZG8O53vxsGgwFAZ0VG\n4usszUsul0Oj0eCiiMOHD2Pv3r2w2WyIRqOYn5/Hq6++ysnX3RYrXAkU97darTCZTIjFYtjY2MDK\nygpeeukl9sxqtRqi0SiHggKBAMc/OwXR3pRKJbxeL1wuF9rtNt8qVCoVjEYjZmdn8dprrzEFsL+/\nn2PBUpWmU6I7nU7zOiEv/+zZs3j11VfhdDrZgx8ZGUG1WsXc3ByH5TrZM+LfJU+e2E3RaBRnz57F\nK6+8gptuuglWqxUrKys4d+4cHA4Hh3rpnb1VXBMjTVc3KpOkayplpClWXCqVoFQqmSCez+dRLBYB\ndO6d0MahWJlWq0WtVkM6nUY2m4VKpYLX6+VrVSwWY/YDaYlQ+bEUB4ZYFyKTyfC8JBIJZLNZrK+v\n49ixY3j99dd5rIlEggs3pPIcidIVCoUgl8vx7LPPQq/Xo7e3F0tLS8hkMhAEAS6Xi8NCer2ejRod\nfJ1ALCJkNpvh8XiwuroKlUqFvr4+Pgjy+TwnL6enp3HbbbfB5XLxDaeTNbJTNIeoffF4HDqdDkaj\nkY3P0tISlpeXsbS0BADQaDSSlT8TKPRnMBiYGklhmFgsxlWQer0etVoNTqeTKWliPZFOQIdVpVJB\ns9lkSqBOp+O1ms/nsbCwwAwusQctZWiQ9kulUkG5XOZ3XSgUcOnSJWYh9fX1ob+/H81mk6uWpQCF\nkOg9U6K4WCxiaWkJc3NzHBaNx+NYXFxkCQe6he+2YvmaUfAAcExVp9NBpVKxDgZdK0dGRpheRNU7\nUpLz6VptMBgwNjYGv9+PiYkJpFIpAOCCgdHRUezduxflchlbW1u8SKWM89Fzx+NxmM1mNBoNLC0t\n4fz583juueewtraGgwcP4u1vfzszXejaKRVIL4OukqFQCD//+c+ZRWC1WtHf3w+5XI5UKgWn04nh\n4WHWR5C6gESj0WBychI6nQ7z8/O82c1mM9xuN6LRKGtoTE1NMW9YqvCPGBRuIAZJPB5nJkmlUuHv\ndDqdvEal1HShfARVvPb29mJychLDw8MYGBiASqXiG0WtVsPo6CgEQeCYpxTsH1qjrVYL8/PzkMlk\nKBQKzJemSlWv1wuz2bxNjU9KFT5y8uRyOZxOJ7OAkskkCoUC7HY7nE4nHn74YfT390OlUmF+fh6p\nVIo9cKlCUAA4F5FMJrG1tYV8Pg+LxYIjR45g7969CAaDSKVSbJRJPwTY3cF1zRKHdNKSgJJer4da\nrYZer2d9DgAIBoOo1Wocg5ZS/U68kRQKBXsGwGVDQNKPZrMZyWQSkUgEwBsvhcYoZTIkHo+jXC4z\nBzsQCOBDH/oQGo0GpqamEI/HEQ6HIZfLWaJTKoNEoR+VSgW/3w+TycRiNKQbEgwGUSqVsHfvXni9\nXhaqIe9ACtB7kcvlCAQCcDgcvCZarRZisRiy2SxyuRz6+/vh9/uZaSL25KUykuJEptPpZDYO5Q3o\nsKR3tnM9SLU+qIgqlUqhUCiwEFYymQRwWQHOZrPBZrNt4+BKcbsRj4HiwESBJHYU6bbQXBBNVgo1\nwJ1jAN5QnySKIdFo+/v7mUIrCALfTOnGKeX7EBei0ecaDAaMjIxgenoaXq+XFSUpHERjF1cavxVc\nMyMNgNkUtVoNuVwOgnBZ1SoWi7FE5tbWFrLZrKQe9JXGAbxRBalSqdhrazabiMViSKfTvCl30syk\nMAb0GZSIofidXC6Hy+XaJglJnjQVj0gNuVwOi8XChRPErqFqyHa7DbfbzdfNncZRCtAhTmExCi2U\nSiWsr68jm81iYGAAPp+PRYZ2ChpJuVZorl0uF69FWiPVapUN+ZUYDFIdFqTWSIlu+l9i9uwsjrha\n+udk+KlMXdyAguaJhMLE1/qrAbp1FwoFVCoV1Ot1OBwOqNVqRKNRLkun26+UENsPKoEnSV2NRoNc\nLgetVssCWAC2SRzv/JzfFtdUqlS8mGjgmUyGS53FZHGpr5A7x0GnIVHxksnktg23G6rMbscijnlT\n0Q9ddVutFuvTSkmtEoO8AtKiaLVasFgs8Pv92zYocLkUlm4WUkN8naTy4na7zd4iaVqQgZZ6Pnau\nNzokxfFqAFCr1dt+7mq/F0rgUaJdvI+INwxIo3P+v4FK94nbTs+9syHF1d47er0eer2ev69UKmF1\ndZX39W691t8E+hz6XHonw8PD/J3FYhHBYBDA9nBPp3ks4VoYoi666KKLLnaHbiPaLrrooovrGF0j\n3UUXXXRxHeOqx6Tvv//+9pVCKpR1FTM/dv73nVl7QRDw05/+dFdBpscff/w3xnWoWIaSYhaLhYtW\nKH6+c3yPPfbYrsbxsY997Ipdh8UxVsrqE+2I5mJnLBIAnnjiiV2N4x/+4R/+1/kol8toNBrQarUc\nnxUzXMRj+sd//MddjePzn//8bxyHmPZI3yf+X8rei+P1n/nMZ3Y1jk9+8pNX7OIu/j5xgQg9+854\nI/39a1/72q7G8S//8i+/cT7EzCTSgaCcBo2FYtj085/4xCd2NY7Pfvaz/2uXbpoD4qjv1GwWx4M/\n+9nP7mocjz322BXHQXuSvqNWq0Gr1fJ7Itlfym9R3Pjxxx/f1Tj+5m/+5je+F5pvMR1UPBdiVgjh\nn/7pn66fbuHigYk3HBkgMkpkBMXJQ6mpPFcClZyTilaz2cTIyAicTicnJqjzL9HwOkma7UwyieeE\nJCopCUNtvqjzA2lhX+lzpBoHZeepj2Cj0YDD4eAWVaQTLP59qSr9xGMjtgu16CJqIGFn1WWnCaKd\n46B3LDaEdEgZDAbmJJPmCRkuqdcH/Rs9O1ED2+028vk8y5dqNBquP5Aikbnz/e48nKvVKpLJJDeQ\nVqlUMJlMzBu/WhDvQRof/RutUdIyIafrakBslyiRTS3oSBOdtEM6rby8Jp1ZyOiKheZtNhvTd4jX\nSJWAdEKTVOjVZFpQ15VCocAtvciDU6vVqNVqLNBC1JtOIDbKYs+IKrU0Gg3S6TSA7cUEALYdZJ1i\npwdI74YOT3G3EdI/oMVIdMmdz7EbiDvmiPmnpB3carWYm53NZqHT6VjmlpoVk9fUCcS3NTH7p1gs\nchd5mUwGh8OBvr4+qNVqlEolfid0sHYq9LTzd8U3OVLG6+npQb1e54ISkgSl2gIpFPCu9AyCIHCF\narVaZcGrSCQCq9UKq9XKrAvxrUOKvSvee2KqIUmiqlQq9PT0wGAwoFarIRKJoN1us9qllIVG4tsC\nOU/UnBe4rNzZ29sLt9uNYrGIbDa7jc77VnHNKHjkZej1epRKJRw/fpxLtIlu1dfXh8HBQbTbbZw/\nfx5ut5ubnF4p5NAJqOT3xIkT0Ol00Ol0ePe7342pqSn4/X4Al/Vyn332WXg8Huj1elQqFSaqd4p2\nu80dhqn0E4gEAAAgAElEQVS7BnmwHo8HAwMDOHDgADKZDGZmZvDjH/8YFosFVqtVEorTlYwSSV2S\nJofFYkF/fz9zpBOJBM6ePQuLxQK73c4eQycl0TuNM42NWkORIl8qlcLs7CwUCgUCgQDuu+8+CIKA\n2dlZFnaXAuLCiWKxiBMnTiAajUKhUOCRRx7B+Pg4wuEwgsEgC9BTSy26IUohLCQOfSkUCvj9fvh8\nPgQCAbTbbSwuLuL1119nTXKj0cg3TzIiUni0tDZItqBWq6Gvrw9utxu9vb2IxWKoVCpc7xCJRDA4\nOMjl6vQZnYDEyGheSXOeCtDe/va3c6eYubk5PPfcc3jhhRcwNDSEQCDAEsedHJ5i20MyBNVqlZ2a\narXK+jdTU1O455574Pf7MTMzg8XFRSwsLGyLGLwVXLOycBInajab2NzcxPr6OkZGRmC1WhGJRBCL\nxbgRrU6nw0svvYRSqYShoaFt3pYUoNOXKrb8fj9cLhfe9a53YWBggMtObTYb2u3LKlsymYxfthRG\nmmJ4JA5EXPFarQa32w2r1YrJyUnuCvOd73yHtS3En9HJ99MGJNWwfD7PhSOxWAwHDhzgqjKHw8Ge\nAXm2ZJylCDXQNbper0Oj0XDFlslkwsTEBAqFAiskktazzWbD8vIyi6tLAQrBUTd2QRDgdruxf/9+\n/Mmf/Ak0Gg2++tWvYmNjA/l8Hjabjb0rMopSle5TOEXM/a1Wqzh9+jQWFxcRjUa5ySo1ztgZB+0E\n4t+nm83IyAhuueUWmEwmvPbaa9DpdNi/fz+sVisuXbqEl19+mZ2rbDbL1amdgG51pGGTSqW4u9Pg\n4CAXwZXLZUSjUa6YjUajGBwcZA2STtvvEcQhjd7eXr5pqlQq6HQ6XLp0CYIgwOl0ckPnTCbDh811\n2eOQNqEgCKwV/NBDD+GWW26BIAh47LHHkEqlcNNNN+GOO+6AxWLB1772NYTDYRYwl2ITUsyXtIIN\nBgPGx8fh9XoxOTmJnp4etNttLCwsYGlpCclkEl6vF9VqFQ6Hg0uhOzVK4ivs6uoqayRT7Eqj0aBe\nr+O5557DyMgIKpUKlpeXUa1W4XK5YDQaWe2r03GQoJQgCLDb7VhYWIBcLscDDzyARx55BB6PBzMz\nM2g0GnA6nXC5XDh16hSazSbHiTt9N1RVR+OgjtgOh4N1vAuFAqxWKzQaDSKRCJ588klMTk6ylO3O\nFlZvFeKEDx1MlUoFgUAAfX19uOGGG/DLX/4Sy8vLOHPmDNrtNhwOB5rNJleaUf6gE9A4KMxz+vRp\nhMNhjI2NQaVSIRwOY25uDm63G+9+97vRaDSwsbHBQvSFQoElZDvNWYirOpPJJIs6pdNpnD17Fi++\n+CJuvvlmHD58GLFYDGfPnuVGDQaDgQW5OgE9AzU8oKT2+9//fhSLRTz11FNYWVlBb28vJiYmsLCw\nAJVKhQcffBD5fJ5/vtMCLPHtVSaTwWq1oqenB263m5U7BwcHWdb42WefxeLiIsLhMHp6enDLLbdw\nePetFh1dM0+aHpA6HY+MjMDr9SIcDiOdTkMQBIyMjGBychK5XI6TEcSykCLuKJ4cCqMkEgkOw6yu\nriKfz+PcuXMsu0h/KGFGcdJOQBugVqtxI1zqAq7RaFie9bXXXuNFRsabkldS3CooPkY6JiaTCWaz\nGYODg9xpo1gs8thsNhuy2SxKpRJ6enq4LLfTxKEY4s7O1IYoGAwiEolwtaNcLsfp06chCALuuOOO\nbd5jJxA7EzKZDLVaDZlMZlulIQDs2bMHZrMZFosF586dAwAOg0nZwksQBL7h7NmzB3v37kWhUIDX\n68Xg4CDGx8dZTpZuAKRZAXQ2H7RG6aZFCdxwOIxoNIrFxUX2HkOhEObm5vDSSy9xGIzmSqpqTPHN\nwG63w+1249SpU6hWq+jv78fU1BTMZjNCoRBcLhcOHjyIRCKBM2fOdOxF0/eLGVh0mCeTSWQyGW7b\nRUn2Wq3G6ny0lqkN3VvFNe1xWC6XUavVYDAY0NvbC7lczg1WXS4XhoaG4PV6cenSJTSbTVitVvai\npcjSkvdKBpJU3EhAfn5+HltbW7hw4QKMRiNf21KpFCfapIyLk2ZxrVaDw+HgVkn0b8Q8qVQq7MVI\nKXAvFqyx2+3Q6XQYHx/H9PQ0LBYLNjY2EI1GsbKygp6eHm7jRVoF1NWmU2MgXvR2u501REgfOBwO\nI5VKwWQyQavVIpFIYH5+Hm63e5vyWqfhH3oWsWFJJBKsdnbDDTdgfHwct99+O+slb2xscLyWDphO\nQN9Lt75qtQqlUombb74ZgUCAHZj+/n6USiWkUimUSiXodDpmXYjjt52MQ+zFUiOIVqvFa5Jarl28\neBGvvPIKTp8+jQcffJBDeFLpu5CTR2Etj8fDIQyHw4H9+/djamqK8yXUzooSnfRupdg3dIADb8Sm\nNRoN3G43jEYjLBYLBEGARqOBIAjceYnkFqhRwVvBNTHSYuNIYvfRaBSvvPIKTpw4gUAgAL1ej3w+\nj29+85v40Y9+hNHRUTgcDuh0Om7XI1UCgmQGV1dXUavVEA6H0Wq1sL6+js3NTbzjHe/A0NAQBgYG\nsLW1xd4DXUM73YhiDqVKpcLAwAA+8IEPQK1W4+LFiywyNTIygp6eHmxsbGBqaoolD6WIz9MVkD6L\n8gU+nw8zMzM4evQoZDIZVldXccMNNyAcDuPVV1/lVkB0eEoZhlKpVHC5XNxTkphA1M/wAx/4AEql\nEsLhMHcBoTUlJah/ntvtRq1Ww/r6OkwmE/78z/8cd955J/r6+rC2toatrS1MTk7CYrFgaWlJspwJ\nzSvN9Z49e6DRaHDy5EmcPHkSmUwGDocDwGVD4XA4cPPNNyOZTGJxcZFZOp2AkqAUNiEP2WQysbzu\n6OgoYrEYjh49iqNHj0IQBPT29m4TGJIiLk7ePGla9/f3I5fLYWBgADfeeCPe//73Y21tDb/85S/R\n29sLn8+HtbU1zM3NcWJPCuIB7X86DKnnImnSl8tlJJNJ7NmzBz09PbjvvvtYubCTjk7XtH0Wdblo\nNptYWVnBxYsXEY/H2Xt8+umnsb6+jsXFRXg8HuZ8ij0cqZDP5xGNRlGpVFhdjPr2UdzXZrNhcXGR\n2xKpVCpJG3wSnc3lcmHv3r0ALidoyIufmJiA0+lkfrSUvGAxKJlBYRTiJ1N8k1qNURMEMqT0c1J4\nKDSnxAoIBoPcSb5SqcBisSAQCGBpaQnNZhM2mw12u30bd1pKkFfvcDhQKpVgNBohCALi8Theeukl\nZDIZGI1GjI2NQRAut/iSokMNgda70+lEb28v1tfX8corr+DFF19EuVzmRrjUFUZMXyXBLilASVSd\nTsd0UGqCYDKZEI1GEQqFoFar2dMX1zlIBXFxSj6fR7lcRrvdRqFQwOzsLM6cOYN4PM6x8Ndeew3L\ny8vw+XzQaDSS9QQFwIVEuVwOuVwOKysriEQiHJ51OBzQ6/UYGhpCvV5HNBpFsVi8fo30TsOiVCpR\nLpextrbGibBQKIREIoEf//jHvNA9Hg8sFgsnUEjHV4rxUFUSdYChmNVtt90GuVyOhYUF3vyCIPAV\n22w2b2NXdAqZTIaBgQEEAgHuhhwMBqFQKDA5OYm+vj7kcjnU63WMj4+jXq8jEonwgpWqYIFCKRaL\nBX19fdDpdMhms8w7TSQS+PWvf43Tp0/DarXC4/FgeXmZvYpOukKLE3ZGoxHDw8OYm5vDE088gXK5\nDL1ej1tvvRXvfe970Wg0cOnSJSQSCdx9990YGxtDJpORrGs5zSf1EjQYDHjXu97FHTaWlpZw6tQp\n/Ou//iu0Wi3uv/9+3H777dukS6VyJCgEdODAAQwMDDDd784778Tdd9+NQCCA8+fPIxgMwm63Qy6X\no1gsQqVSbSuA6gT0LJSvIKNEDR9SqRQajQaOHDmC9773vVAoFMhms9xRifaZVHNSLpfhdDpRKpWY\n2kaNogVBwIc//GH4fD6srq7ie9/7Hvr6+jA2NiZ5URwVrlCOSqfTYWhoCBMTE9sqlfP5PK/rcrnM\nDs11Ge6gjahQKGAwGFCv12G32znAXq/XkUgkYLPZmNngcrmg0WiYuiIVKC5EXjF1x+7t7cXhw4fx\n2muvYW5ujptYGgwGaLVaFAoFSb1XCjfYbDZotVrMzs7i4sWLOHv2LACwl7K6uopGowG32w2dTodE\nIsHP0Ql2xj7pKlepVJiCZ7VaYbPZYDKZkMlkEAwG0dvbC41Gg0KhIEm/RwIlXoxGI5rNJrLZLBud\nPXv2wO/3Y21tbVtVqMPh4NJ1qUDUQnFFI1Hfkskk2u02XC4XhxOKxSJyuRyAN/SfpYJCoeDO5BTi\nCAQCOHLkCCwWC1ZXV7k/JxlPagwh5a2TnKN6vY50Oo1kMsm3GbPZjIGBAeaVVyoV5PN55HI5TrZL\nwYYiWCwWboYcDoeh1Wr5RnHo0CGo1WpsbGwglUphYmICKpVK8hsOAG44QElMqrakArTl5WWkUimO\njYvDvdcdu0O8WOja1Gq14Pf7OcyxuLgItVqNiYkJmEwmFtOm3nZk0KQcE/VuI89wfHwc5XIZs7Oz\n2NjYwJ49ezgWJgUZfuf3A+AET6vV4hja+vo6AoEA7HY7zpw5g3A4DKvVyuWuOp2O9aalKD+mPxTj\nbbVayOVy2Nra4q7P+XwewWCQr/hkoKToTE1JIfI4zGYzV6+ZzWbs378fk5OTkMlkmJ2dxebmJgwG\nAydjqEO0lAcobSLqgpJIJDj04/P5MDExwa3dlpaWEI1G2RCIS6g7BXFx6cpcr9c57BCPx9nDbzQa\nnDchJlSnh4V437bbl3v5pdNprm40GAxwuVzQ6XQYHBxEJpNBpVJhFg7F06VidwBgloTD4cC+ffug\n0+mQy+WYhNDT08Nd72UyGcxmM9sRqcJyBKLL2u126PV6blBBYbFoNIqNjQ3o9Xrm3DebzV3lCq5p\nt3DKcFYqFfaqm80m+vv70d/fj/e85z2o1+u4cOECjh8/DovFwl1JpNyElUoF8XicF73D4YBcLse3\nvvUt/PCHP4RWq+XGqxQDDQQCkrauIvF6SjpQTNNkMsFisSCTyeDpp5+GUqnE9PQ0SqUS3wDIMElB\nBSTthbW1NfT398Pj8fAhQJtifn6eKV9DQ0OwWCysjyDFVZIOikajAZvNhsOHD+OP//iPmcWQSqVw\n8eJFLC0t8YHa29uLRqPBegkdC6v/38OCCmXo3czMzGBpaQmFQgEf+chHMDQ0hGg0iqWlJYTDYX5H\n5MFK5UxQ0lStViOdTmNhYYEN9RNPPIFMJoPh4WGMjo5CpVJhc3MTqVSKW2lJkVClOSEOOwAOb9F7\nMBqN+NWvfoX5+Xmsrq7iwoUL8Pv9OHz4sKT9OCm0dvLkSSiVSjz00EM4cuQIwuEwvvOd72Bubg7P\nPvss37buvPNOeDwe9vql2Ls72WFEeUylUshkMvB4PBgeHsbMzAzOnDkDtVqNfD7P30302evOkwa2\n03nIcywUCpwlJW9heXmZWRdarXZb5wWpQIaNvBTS5lAoFEgkEiiXyxgZGYHdbudKLupGIdW1iRY/\nJSCoFQ/FEjUaDeLxOGfVLRbLtgy1VC2KKClLOQKqbtNqtRgZGcGtt96K0dFRjk9T3JP6C0r1XqjS\nMB6PIxQKQa/Xw+/385X27NmzSKfT8Hq9sFgs8Hq9rJlAz9EpyOMj2hixeCj+32g0uGFwOBzGxsYG\n1Go1+vr6eH3s5ip7JYjDLIIgcCPeWCyGixcvIhKJwOPx4IMf/CD6+vpY4oC42uLqRynGQB1yqEMQ\nFYTFYjGsr6/j6aefZi670+nkjuJihcJOQA6JTCbD5uYm4vE4vF4vxsfHsbGxgeeffx4rKyuYmpri\nw+PgwYPQarWIx+P8GVJATEsk+qc4vEStvehW2Ak/mnDNEof0sqnq5pVXXuF+bZubm1AqlQiFQtBo\nNCygI4ZUVC8yCDabDVarFc1mExsbG4jFYpDJZLjnnnswMDDAwkvDw8MolUodV06JIZ4TMrZ0jaNu\nyAaDAWq1mj39RCLBLBSpBKcoHi2Xy1Eul3Hy5En86le/gsfjwf79+xEIBNDb24tKpYJwOIxqtQq7\n3Y5CocDXPSkOC0EQ+Er/ne98B1qtFpubm1hZWcGlS5dQKBQwNDSEQ4cOcRImk8nwFVKKQicCVTfS\nlfmOO+7A1NQU09rOnj2Lra0t1jXxer3sbUqZO6H9kkwmYTKZcP/99+Nd73oXh5zcbjf0ej02Njaw\ntLTEXjdV00ql70IHD9189+7dy81Vz507h62tLUQiEchkMuzfvx8333wzzGYzOxVSsbLIC6VGr//5\nn//JVYh33HEHPvrRj+Lhhx9GLpdDLBbD4uIi71lxYU0nIENPwl6FQoFvUH6/H/v374dWq8XW1hZs\nNhuHJ8V88d0cFtdcqpTiu+RRA28kAzweDy8K0qiVasEB22UOKXFIAk/xeByZTAaNRgPRaJTJ6BQf\nlzI5Rc9CMW8AcLlcsNvtsFqtvOFzudw2zikdMFLGxolW5/f7YTabEYlEOGH74x//GEqlEi+//DI0\nGg2cTifT7igZIjWq1Srz4okTS8VOdMiToA3lK6SsagPAYRQATMkUS6WOj4+zbCuFraRM1IkNG629\nUqnE4zGZTKhUKtja2kI0GkWhUGCPTsr9QmMhWh+NhZhWdPOg2LTH49lWyCJlPJpAa4L2iVwux549\nezA6OspNpMPhMMfrxc8hBcQFYJVKBWtra5xPoZtwOp1GuVyGRqPZpvW9U83yt8U1LwsnI200GpmQ\nPzw8zC+dugHTC5a6yo8MNV3ZdDodax0QJ5kWGslgSu0lEcRVblQBSd3U6SAhvRAxz1NKg0AUPJfL\nBavVCr/fz7Fv0qWw2+0sHkMGRGqvkShnZGjUajXMZjOHnWjBE91t5zNIORYyRHRbEPOCW60Wdyun\nm5CU7AGCOERYrVaRTqf5YIrH43wjFYtdSZHIvRLoXZOMAYl+AeDQlEKhgMlk4puZ2EBLdYBSCIc8\narHELyVSE4kEa3bQz0q5X+gzySCL+eDhcJhpebS3xfuEDPx1GZMWe44EcUxRrJdARksch7oaIG+J\nausBwOl0AniDrE7Xpas1BuCNZy+XywiFQgiFQhxCaDab7NFfTdB8i7PxFHukuJpYiVD8M1djLLS4\nlUolnE4nzwcdYGJWytUAfTbJjlIBRS6Xe5PhuRpzQBCHwyihSWOjMA9Vi16NsYiflYzR1tYWtra2\n+GcUCgWzK8TvRLw+pGZF0e1SEAQuniEDLtaaltp+iD+Pwl/i9Ukg6qFYSqKTcXS7hXfRRRddXMfo\nNqLtoosuuriO0TXSXXTRRRfXMbpGuosuuujiOsZVTxw++uijbXHiQJx0ajQaTLwXV+KIe7VR0J0+\n44tf/OKushBf/vKXrxh8JxF5cfKBaGbizOzO5MSnPvWpXY3jG9/4xpvGIaYGEqeSkjD0ndQMd2e2\n+OMf//iuxvGpT31q2zjEWh5EvidOtlqtZq1kSuxSRpve25e+9KVdjeNLX/pSm75/Z6k6JaMAcKUq\nJWzELBNxMu3RRx/d1Ti++MUvbpsP8TqltUiMCur1R40YxGuXxvLpT396V+P4y7/8yyuuU7GQPyUM\nxQUr4uQ8/XeZTIavfvWruxrH3//9379pHMRYIBooFTRRAw16J5R4Fzcr/tznPifJfNB7ERMM1Go1\nyxcQLZPWCLC9gfNu5+MLX/jC//peiFZMVEVKPu9MnLbbbfzd3/3dbz2Oa6qCR6CXSQuKZBbpIUul\nEle/iTPGUiQ5xVnnnTQ/0qzNZrNcxkmVZFerTT0ZaBKaEheIEJebfk48l1JpZlzp32nhxeNx1Go1\neDwemEymbZRAGo8U7cSA7TQ8WtwajQZqtRqVSoWlHpVKJVe+1Wo1robrdAw7P4Ped7vd5nVgNpuh\nUqkQiUR4jYoPMcrmdzKWne9l5/qnMmTgMleX/jtpjUtZWSceh5jVQGXnRBMlASbqVg5snz8p1od4\nPMTbpjoHv9/PImDkYBFzSyop253PIbYhxIUWM7Wq1Sra7TZXLF/pM35bXNNu4TS5rVaLVc5I8a63\nt5fbNVWrVd58xJuVotT1SiAvXRAEJJNJFAoFrqBSq9WwWCzQarWw2+2SVE+RUaYNLV7gxMsmg1ip\nVLhbtphqJEXxxM6DSly2T4cGCcL09PSgv7+fy2yp4o8WaCec6Z2UPnrPXq+XO/NsbGxga2sL58+f\n5y4Yw8PD3CmEeOWdGkcx6GA2mUws1Tk+Pg6ZTIaXXnoJ5XIZlUoFpVKJdWmk4OTu/H1a/+Kbp06n\nQz6fx9mzZ9FoNGAwGDA6Ogq9Xg+LxSLZoSUG3SSopoDokJFIhLWUe3p6sH//fpTLZRQKhauir011\nFOTN5/N5qFQqZLNZXkN0mDYaDRbGkoovTWuUnBm6AZM2/NbWFrc4s9lsSCaTqNVqvD52I6dwzRrR\n0gRRZ+pkMglBuNxR95ZbbkGpVMLs7Cw8Hg/GxsYAgKt56KothZ40cHkDkja0y+VCMBjE8vIydDod\nRkZG8Ed/9EcALreO//nPf45KpcLXt045j/S7JJlaq9WQz+e5EzhV+xUKBVSrVVgsFgwNDSGdTiOd\nTiMUCrF6nlQ3C+rETAcjHRC33norhoaGuPmq0WjEgQMHoNfrsb6+jng8jlwuJ4kaH42FdJBpcYfD\nYXz/+9+Hy+XifoatVgtmsxlerxeJRII3RiegzSfehFRRVq/XYbVa2aP3er0YHR3F1tYWZmZmIJPJ\nWL2ROkdLAXo3ZKDdbjd8Ph8sFguLkO3btw/veMc7kE6nsbq6inK5zFfsTtaH+PeJr+73+6HVahEM\nBlEul3HnnXdCJpPhb//2b/Hiiy9iYGAAn/zkJ2EwGPDMM88gHo/zIbZbiJ0IKpOv1+vclGFoaAiF\nQgFnz57F+vo6IpEITCYT/uIv/gJOpxPpdJoLjjppEiwOBwrCZT0VmUzGchIWiwXHjh3D888/j1tv\nvRV333037rnnHm4+cOnSJW4KcN11Cxd7SHRVIj0KanpaqVTw61//Gq+++ipuv/123HDDDfD7/az6\ndaVimN2OhSqiNBoNTCYTgsEgXnjhBaytreG+++6DwWCA2WyGTqeDxWKB3W7naz+dnlKoe4ljiu12\nG729vbDb7Vz6bLVakc/n4XK54Ha7IQgCEokE0uk0ewpSXKupLJykUL1eL7RaLaLRKA4cOACfz4cz\nZ87gwoULkMvl2Lt3LyusUay2U6NE75WU9cLhMDQaDcxmMxYWFlCv1zExMYGHHnoIhUIBxWKRtawp\nPCLF2hB749lsFsvLy5iZmYFSqUQgEIBKpWJpzL6+PlitViwsLKBarfKh2WnT051ODR3YZJxJ04Uc\njPHxcbzzne/E3NwcQqEQyuUyCz51cnjS79K7NpvNcDgcOH36NObm5uBwODA6Ogqj0YipqSm+6TWb\nTTidTo5Td6ptLQ710NyoVCoMDg7iwIEDuOmmm/Dkk0/C7XZz5x7SoKfuPdQztBPnaqcNMxgMUCqV\nCAaDaDQarKeyZ88eTE5OQqFQsMaL1WpFOp2GyWTi8b8VXLOycCo1ttlskMvlSKVSrCK1srKCWCwG\nrVaLyclJHDp0CE8++SQL7dPp06lRomsJXdeWl5fxf/7P/8Hm5iampqZQq9XwzDPP4N/+7d8wNTWF\nkZER1Go12Gw2jjF1eo3cGe4ALocYHA4HBEHguv++vj6oVCpkMhmuQlxaWuIWZJ3GHsVeEl1jFQoF\n0uk0nnjiCZw6dQp/9Vd/hZ6eHszMzGBmZgbj4+NYXl7G+vo6bDYbAEjWLZyeZ2VlBfF4HO973/tQ\nr9exsrKCI0eO4L777sMPfvADPP300/D7/fiDP/gDxGIxliqVKtxBB3G9XkepVMJ9992H6elp+Hw+\nvPDCC0gmk5ibm8Pc3BzK5TIuXLgAm83GMrydguL8dK2PRCIQBAFGoxG//vWvWdy+3W4jmUxidnYW\ni4uLOHXqFH7+85/j0KFDrCnS6XxQrLVQKCAejyObzeLP/uzP0N/fj49+9KP49Kc/jcXFRfh8Ptx7\n7718qAaDQe7aItas2C0oSViv15HNZlGtVjE8PIwLFy7g61//OorFIqanpzE2Nobx8XFkMhmcPXsW\nIyMjHJYhudJO5kOctFQqlYjH43juuefw4Q9/GJ/4xCfw5S9/GfV6Hfv27cMLL7yAL3zhC/jkJz/J\nYTGSobjuwh3A9rivwWBghTlKQPT09CCfz2NychJjY2NIp9OYm5vjEAAt3E49FHF3BIpvUcuoI0eO\noNlsIhqNAgB3dDCZTDAajexNSxVyIa+LEhzUffrMmTMALretJ53pdDrNVzeNRrON9dAp6vU6Z6N1\nOh1mZ2dx6tQpToh5PB5We7vjjjuwtraGVCrFYuZSJ3MpDt/f349oNMqCSvF4HD/96U+xuLiIQCDw\nJmVCKRJ2wBuJMavVitHRUdx7770cW0wmk+jr60Oj0cDq6ip7bJS0o4Oikzkhb5TyNzKZjFtGxeNx\n7pRTr9eRyWQQj8dx7tw5nD59mjU9Or1lieeD5rVeryMWi2F0dBQPPPAARkdH8eKLL6JUKmFiYoI7\n9ly4cIHfISXAOxmLeB5IPhYANjY2MDs7i3PnzuHRRx+FzWZDLBZDJpPhphUmk4kVG6XYL/Q8MpkM\nkUgE586dQzabxeDgIOLxOL773e/CZDLh8OHDSCaT2NjYYM0ZamKxm5DLNedJUzeNra0tFItFDil4\nPB709PQgk8ngJz/5CWZnZ9Fut1mvoNPAv/hqTDFdhUKBG2+8Effddx8OHTqEdDrNV3q32w21Wg2T\nycQttKQSsKGFRx02EonEto4OhUIB2WyWvZdsNrtNuIY2cqcGkhY+dcChd+P1enH77bfD7/fztfb+\n++/HgQMHsLm5iUqlIqnAEhk22kwOhwMymQzpdBqNRgMul4tlWsfHx7F//36eH7qldXqzIANLRtpu\nt2xFniUAACAASURBVOPGG2+E2+1GIpHA/Pw87HY7pqenkUgksLGxgVqtBpfLtW1dSHFYEEuDwgwk\nh0oNGvx+PwwGA++Jzc1NZLNZWK1W6PV6SZTwxNd7ceL+oYcewtve9jbU63W0Wi0EAgHs27cPWq0W\nsVgMS0tLiEQi7BBJsUbFVFxigc3MzODChQuYnp7G3XffDbfbjVQqhWg0ikajgVgshmg0yu9DysRh\nu91GOBzGwsICBgYGoFQq8Ytf/AKFQgGjo6Nwu92o1+vcDk6lUsFgMHAY6q3imnjSZJQUCgVfWdLp\nNO6++25MT08jGAxCo9HgBz/4AYLBIIrFIg4dOgS/388Z/E4hjnvK5XJYLBZWWXO73SgWizAajbjr\nrrswNDTESQqHwwGr1crdiSnssVuI+bR0ItdqNTz44INYWVlhQ6VQKLC8vIxCoYADBw7g9ttvRzQa\nxeuvvw6dTge73d7xnIi7TACA2WzGww8/jMnJSaytreHixYs4ceIEdyn5xS9+gXA4zDE5WvidaErT\nDYcokKQlfvLkScRiMbjdbtx///1oNBr4+te/DoVCgbW1NfzoRz9i5ULxRu5kHOIY+969e2GxWPAf\n//EfWF5eRrvdxsc+9jE0m00cPXoU9957Lx588EH89Kc/xaVLl3Do0CEIgsAddDqBOFlus9kwMjKC\n9fV1rK+vc0uofD6P+++/HwaDAT09PSgUCtx7USram5gDLJPJ4Pf74fP5cPz4cTz//PMwm8249957\ncfHiRfzyl7/k0KBarea8AjXu6ARUI6DT6eD3+1EsFhGPx/Hxj38cd9xxB7797W8jFArh9ttvx0c+\n8hEIgoBjx44x46JQKEjCDBOLSNGtZXBwEN/97ncRDofx7//+77j99tvx1FNPAQAOHjwInU6HeDzO\napvAW8+tXTMKHvBGSyDKhpP+azAYxObmJtrtNhtNr9fLPy8Wze4UNEHUMYGuSNQ7z+PxoF6vY21t\nDZubm/D7/Uyfoe4sUjUbJU4lAO7ycejQITQaDYRCIWac6PV6GI1G7qNGNxApFp5Y8a9cLuPmm2/m\nBrg//OEPEY1GYTQaYTQa0Wg04HA4oNPpWO9ZKo40jUWhUKBQKCAYDCKZTMLlcmF1dRUymQw+nw/5\nfB7VahVbW1tQq9XbkpZShDvEfG3yDJvNJjweD3K5HF5//XVEIhH09vbC6/UiHA4jm80y5UvMFZYC\nzWaTuxcZDAbUajX893//Nzc5dTqd6O3t3WYIpAqFAW/wtDUaDTQaDWZnZ3HixAmEQiF4PB6kUikc\nP34c5XIZ+/btAwC+JZPcrVQhQjoogMuJ3f379yOfz+Po0aNIp9P4wz/8Q0xMTCCfz2NqagqBQICZ\nHZ3mLMSg2o7x8XG4XC6+OQiCgNOnTyOdTmN4eBgWiwWbm5solUqc89mNHvw1NdJUqKHVatFutzEz\nM4Nz584hGo3C6/Xife97H1qtFoaHh1Gv17G1tYVcLseeUifC++KiFaJ4FQoFfO9730M0GoXVasWj\njz4Kt9uNn/3sZ9jY2IBCoUAqlUKxWOTkg1QxWNLCtdlsiEaj+NznPodyuYxisYh77rkHwGXDnc1m\ncezYMUxMTPA4SHt6N00td46DPi+XyyEUCmF8fBzZbBZra2s4fPgwent72asFgNOnT+PGG2/k5pqd\nNkMQJ+zUajUcDgczBdRqNTY3N/Hd736X6YpEfzt8+DCy2Sw3Pe30wKL3SlWEwWAQr776KhwOBz7y\nkY/gpptuwuuvv44XX3yRex0eO3YMx48fxw033ACbzcZi+FId4q1WC+vr69Dr9bj55puh0+kQi8Xw\n9NNPQ6vVYmxsjJPNPp8PDocDS0tLbJSkAIUYqtUqtze75ZZb8Pu///tQKBR4/vnnIZfL8alPfQq/\n93u/h29/+9v42c9+hnw+z3rxUoQ8gMsSoGNjY8jlcnC73bBarWi1Wnj44YcRj8fxX//1X5iZmYFK\npUJvby9L7BKnXQoQFfjw4cPYv38/ZDIZbDYbXn75ZXz+85+HRqPB448/jrvuugtPPvkkvve972F0\ndJTZLrt5L9esMwsl6orFIvNyiZISCASwd+9e9trcbjfi8fi2REyni048jnq9jmQyybE8n8+HgwcP\nwuFwIBaLQa/XY3R0FAaDgau7qDmpFEYauPyy9Xo9rFYrEokETp48iUKhAIPBgN/5nd+BTCbD+Pg4\nFhYWmI9MlWXUhUMKiE91ukGsrKwgGo3id3/3dzEwMID19XV4vV7odDru3EIFJBTGkmIcdL33eDy4\n44472DDQ4fTUU09xgwKLxcJ8XfL2pOIFC4KAYrGIcDjMnixxto1GIyYnJ1Gv1zE/P88JRnGpulRJ\nOwoNRqNR3HTTTSiXy2wwKYmdSqUQiURw5513wmQybfv9TiCO5apUKqRSKaTTafT29mLv3r0YHh7G\nCy+8gFQqxbkLSmImEgkEAgEOLUpRWEO0WeKuX7p0CXa7HcPDwzhw4ABef/11vPrqqyy8Pzk5yb1K\nKWch1cGlVCphMpm4FJ1uDdTX0G63c69WQRCg1Wq3lbG/VVwznjSAbS14dDodP9jg4CAGBgZw/vx5\nzuCSh0f8RooXdgoy+LT4HQ4HDh48iLvvvhvlchmrq6vYt28frFYrSqUSXnrpJQCXW3wBby7P3i2o\npNXr9SIUCiEej8PhcGB8fBx2ux1qtRp79+5FOp3mpCJVQBJHs1OIaXj/H3tvHh3nWd79f0bSaHbN\nSDPSaN9XS7Il71vi2AlZTPYG0hYaylIoNC00JC8tpTQspbRAgW5wDoSlaQOFQCBOyWYnjm28W7Zk\nWbL20ToaaUYzmn1G0szvD7/37cdO+p5G8yS//KHrHB/hYGluPc99X/e1fK/vV0RkL7/8Mj09Pfh8\nPpqamiS6oKOjA7PZzIkTJ1heXmZxcVGWgdRYh3AGQi1948aNJBIJ+vr6JEXAwYMHpf7i3NwcHo9H\nylyp0ShTmqgvCxRBbm4uXq9XXhCC/H779u10dHSQSCRU054Uzj6VSsnARWDn4/G4FGcoLCxkaGiI\noaEhOjs7icfj5OTkZDwFKn5/8bvk5OTgdruZm5ujoaEBg8FAMBjk6NGjcuLx0qVL9Pb2cvr0adLp\nNKWlpaqJEYjJXK1Wi9vtZmhoSGK1KysrMRqNMjNeWVlhYWEBi8UiRZyFg1TDRFPX5/PR39+P1+sl\nHA5TXFxMUVERgUCAvr4+3G43wWCQiooKCgoKZEXgHRlJw9V0ZWlpSQqLigac2WzG6XQyNDTE4cOH\naW1txWw2y8lE4aTVGgkXU2Eej4fp6WkcDgcVFRVEIhFeffVVNBoNn/rUp5ienub5559nZmYGg8EA\nXE11MikzKCcWl5eX2b17N/X19YyMjNDS0kJFRQUajQan00ldXd01gz92u52mpibVGkOAFPMMBoP0\n9PTwve99j1Qqxfbt29FoNPT09LB161b2799POBymqalJXqRqRY5wVebI5/MRDAZZWFjg8uXLDAwM\nsHnzZgoLC9m9ezdbtmzBZDJx6tQpPB6PhGeKaDrTNYiI3maz0dDQwC9/+Uvm5+dpbW3lzjvvpLy8\nnN7eXubn52lsbOSOO+4gEolw7tw5otFoxsMscLUcJuSywuEw09PTEoUTCASknmA4HEan0+H1emXd\nWC2+CiUiSozjl5eXYzAYcLvd1NXVceutt/LTn/6UJ554gpycHP74j/+Y9vZ2QqEQc3NzRKNR1co/\nOp2OyclJBgYGyMvLo729nY0bN/If//Ef+P1+vvnNbxKNRjl58iRjY2P4/X76+/tVr9UnEgnOnj3L\nxMQEU1NTdHR08O53v5toNEpXV5fMNj72sY9JXydG2Vdjb+tYuEajYWFhQQpoejweAoEApaWljIyM\nSAVeMdgikA5qQIqECYY30bw0GAyMj48zNjbG2NiYlIk/deoUfX19MlUSXA6ZHkBxmyYSCcLhsESP\n5OfnMzc3x8LCAsFgkLq6OnQ6HSUlJdhsNkkoo9PppE5kpiacgZi+tFgsjI2NYTAYaGtrY2ZmhvPn\nz1NWVsbly5cl5EocOtEEyTSCVZa0QqEQ4XCYM2fOcOHCBdxuN7W1tXIKdH5+noMHDzIxMYFGo5H8\nHmpMHIpDLCbINm7cyK5du1hYWJCY7Hg8TiAQIDs7G4fDQSAQwOv1St4VtQiOBDKhoqJCojaysrLw\ner2MjIyQnZ1NJBIBrvKtiJ6PWmm9UttQTMB6vV40Gg1Go5F9+/bJkktpaSmdnZ3s27eP3NxcLl68\nmPGgk9LEuH08HicWixEMBpmYmODSpUuYTCYeeOAB3v/+93PkyBEGBgY4c+YMiUSCqqoqWQ9Wowwl\nEFGhUIjZ2VmmpqZYt26dVG7Pzs5m586d1NbW4vV6OXv2rKRbgHeoWrhySECv11NZWSlvfLPZTHl5\nuQTg79y5E6vVKptEomN+vbDlak2kTWLuX6vVSiibx+PBZDLhcDg4duwYfr9f4nOFM1NrBFlcFAIt\nkEwm+c1vfkN3dzdzc3M88MADlJeXU1xcjMvlYmJiQnJaiIOjljOAK93q8vJyOjo6uOeee0gmk8Ri\nMf70T/+UoaEh/uiP/oisrCzy8/NxOBxyGEmtAwhXMxwB27JarezYsYO2tjY+/OEPs7CwwHe+8x3O\nnj2LxWKhurpalkhAnXKH+BOJRBgdHcXhcPDII48QCATkoRwcHASguLiYWCzG+Pg4i4uL11C3Zvpc\nRLaVn59PbW0tDoeDhoYGQqEQg4ODcppvYWEBvV5PWVkZOTk5hEKha2h21cgsRHNYNGd//vOfE41G\nMRqN/OEf/iHFxcU8+OCDFBcXY7FYmJqaYnFxUa5RjQtD/D7ijDY1NRGNRjl06BDHjx9nw4YNVFZW\n8oMf/ICenh5OnDhBVlYWJpNJCsaqMaErpjBFCRBg69atdHR0kJ+fj9vtpqCggEuXLnHhwgU8Hg9L\nS0vyEoXVXRRvG05aLFKn01FaWkpJSQmFhYWUlpZisViorKyU0YCS/1VgJNVIVZQRm3jooVBIRobF\nxcUSJnM905Wa0bz47JWVFTnUYjQacTqdWK1WOVE3ODiIz+e7hi9ktc2H/2kd4nd3u92SvUvU3ABq\namowmUzSiQq2vus5JlZr4r2Kd768vIzBYODmm2+mvLycuro6tFqtJOSyWCzk5+fLARLl3soUgqd0\n1PPz8ywsLKDT6YhGo3LiLp1OU1lZKfH7i4uL16jbZ7oO5feLJncwGGRgYACfz4fb7aasrExOx6ZS\nKcxms3wWapagxFpEOSk3N5fa2lqJky8qKkKjuSIGKzhDlpaW5PNQ6xJXkpIJsqsbbriBdDqNwWBg\n/fr1mEwm4vE4BQUFlJeXk0wmJWxVjVKpcn9oNBrJjmmxWMjOzqa3t5fp6WkJP8zLy5MXhUajyaiH\n9LZB8JSdc0ByHSwuLuL1eolEIsRiMXlY1a55is8WP1NspnA4TDQalXU3gUsWvMni+9Ry0MJEdCC4\niDdv3sy6deuAK5dFIpGQ5PIio1AT/ypMTPqJ5yCQNwC7d+8Grgy5CCy14LxWsxkjLh4RqQinEAqF\n8Pl8+P1+2QwSQw1KRkK1Lgzxc4TDUzLamc1mKioqsNlsGI1G2aAD5Fc196oIJkRNNxaLyQuhpKQE\ni8Uip3GVswRq7lHlz1peXmZ5eVmO6WdnZ+NyuVhcXMTtdst9LIIqtdBH8HraADGrkJ2djVarZXFx\nkZWVFaLRKFlZWTgcDpLJJHq9XtV1iLWIzzYYDOTn50soq8lkoqioSEbwYihJkEytdm+8rThpuMpL\nm05fIW4Jh8NywyujVTU3mzAlDE84AoPBIGtW4sYWY89qv+DrTaBWAAoKCigoKJCXlKg3iptYORGn\nll3v2FKpFJOTk3JtFosFQL4n8V6UuGQ1URXKjSw+c3R0VDLuFRYWSgeqdpb1RiY6+WLSFMBiscjP\nTSQSr4ue1Q4qlJciIFEEmRIovdl1CNinTqeTe9blcrGysnLNYJXIPtW069+x+HyBMrpw4cI1mYRg\ndVSTukBp4rMA5ubmZEBZWloq16vMvjOGh74VznDN1mzN1mzN1LE1Ido1W7M1W7N3sK056TVbszVb\ns3ewrTnpNVuzNVuzd7C95Y3Dz372s68reisL6qIpIngpAEkgJAY/lFjrr3zlK6vqlnzxi198Q4l6\n5VfBYiYY75RqG0p4lkaj4fOf//yq1vGhD33oDddxPYxM4HVFg1Ooll+/5h/84AeqSdQrm7ZCCdpo\nNALIEX3x+yvfSzr95iTqlfalL33pdetQNngFb4PooAPX0HEqm68ajYbPfe5zq1rHV7/61WvWIT5b\nCf8SZPqiQSUai4LTRTlZ9xd/8RerWsfnPve5N2wSid9VoE5WVlYwGo3yWYnBEbF34UqD7ctf/vKq\n1vHnf/7n/+P+EL+voHYQuH+BqVbSQIipxW9+85urWscnP/nJa9Yh9pxAdqRSKUlFajAYrhFMSKfT\nkolP7Jdvf/vbq1rH448//rr9IUxJYSrQUmId10N5xfc+/vjj/+t1/P+C7hCLX1pakpwH4oULEqZw\nOCyHXpTdVDXXAVehfslkktnZWUmqXlBQIKlBxVgnZM5DcL0JBIkgMxcvXCimA5I0XEDC1FjD9cxx\n4hmLDba0tCT5D/x+P4uLiwQCAXJzczGZTNc4SjXwyeJ/Kx2e2OjiswQjm16vv0Y4QQnFU8PeCHom\n9p8YttHpdBiNRilOKyhn1TKlQxSHXFwcgrPabreTm5tLIpFgYWGBZDL5unea6ecrvwq0iWDZy8/P\nlzhhoYASi8Xk5QXqnxexHoHeiEajTE9Pk0ql5PMQsEml01YbcaJEoIkLA65c5mIEPJlMykEawbey\nmn36tjlp4ZzFHzFeGwgEcDqdVFRUUP1/xWf9fr8kDS8rK5ME6JmYMgIUOE8x7i2oOnt6etBqtdx+\n++00NzdjMBg4d+6cxOu+FUgYAW0SE0xLS0tMTk4yPT3N3NwclZWVkoYyEAjg9/tV4WZQiuAqL0wx\nAi2UWiwWCx6Ph9HRURKJBHa7XfI+q0W2D1dhVsqpv3g8LjMqrVbL+vXrKSgokHJmQmBU6UgyWYcy\nYxPRqqAqAORBLC0tpbKyktbWVjwejxQ/VWaIapgyu7JarRJ/63A4sNls6PV6yXOi0+mkos/1zno1\nptzryoxJEBllZ2dTWVlJZWUlbrcbl8tFKBSS3OMCpqjmmRH7TavVYrVa8fv9uN1uTp8+LTloDAYD\nVquVpqYmKTUnLnw1TLlPlFJ8gtwKrk7PiiwrkUjImYjV7NO3zUmLyEfcuNFolEuXLhEMBvnEJz5B\nR0cH09PTDA4O4nK5MJlM+Hw+srOzKSoqkuKaqzVxg4lbrbKyErPZTDwelzqDJSUlbNiwgampKQYG\nBiQ+VDguq9UqI141TExu6fV6Tp06xeXLl9HpdKxbt450Oi35PFKpFHfffTcFBQUMDQ0RDoeJx+Oq\nOAMRjfh8PskVkkpdUVquqanh4sWLnDt3ThIONTQ0SEYvMb6fyaUhHKx4twILLtjw8vLymJubk/zV\nAwMDRKNRqSRvt9tlZJvJ/lA+S4ERT6fTFBUVUV1dTXNzMysrK1KVRK/XU1VVJYeAFhYW0Gq16PV6\nVdTkRdos+LJ1Oh3xeFxe3mazmV//+tcA1NbWctddd1FYWCipW+HqkE2m6wCIRqN4vV76+/vRarVs\n3bqVtrY2NBoNbreb1157TepQ6vV6jh49SiAQUFUEITc3l7KyMkpKSpifn+fIkSOcPXuWRx99lPvu\nu48f/vCH9Pb2UlhYSH19PX6/n3g8Lnlv1HTUgvyqrKxMXl4Ct33s2DHy8/N5//vfz/T0NE899RQl\nJSU0NDRQUFDwpqcP39Zyh6g1m0wmPB4PPp8Pg8FALBajq6uL4eFhXC4XwWCQ9773vZKrQDjGTDad\nMj0Rh0mZumk0GjlRduDAAQ4ePEh+fj4f/vCHmZ+fJxAISKJ+NaIU4VBisRjhcJgLFy6wtLTEzp07\nue2226TYgODJXV5eliTvIp1TY8JOED3l5OSwYcMGrFYrqVSKkpISkskkU1NT+P1+8vPzWVhYoK+v\nD4fDQV5enixDqBHZi5RU0LE6HA5KS0txOp0cPnyYcDgs09doNMri4qIUPBW9DLU4x0WmJShSxbDT\nxYsXGR0dxefzMT4+Tnd3N93d3QSDQfnclO82ExNBjVDMKSsrk+Ph9fX11NfXS2EKp9PJyMgIoVCI\nwsJC+b1qKfeICV0hb1ZcXExVVRW/+MUv0Gg0bN68mZaWFkpLS9m7d69Ua1Gz/KTMUJaWljh58iSH\nDh0CoLW1lYWFBU6ePEkkEqGsrEy+J+X+UGMNSsk5Ebknk0nsdjvNzc2SY2dlZYWKigrsdjtPPfUU\n8/PzVFZWSoHnN2NvG3eHUKUW4ppWq5V9+/ZJpfDl5WU+8IEPEIlEOHPmDHfddRepVIrvfOc7qo38\niq9LS0ucOHGC8fFxqqqqsFqtZGdns27dOm6++WYphNrR0cHu3bv5zne+Ix27GiaaKSKz8Pl82O12\ntm3bhtls5pFHHiEajfLAAw9QU1MjR3AnJyfJy8tTxRGISE2Mn69fv56Ojg6++tWvYrPZ2Lp1Kx6P\nh87OTj772c9SX1/Pb37zG/7iL/6CtrY29u3bd03TLpN1iLprKpXC6XRSUFDA4OAgU1NTTE5O8txz\nz9HS0sLdd99NaWkpVVVVbNiwgcuXL0uyHxFpZ2LKMs7AwABTU1OsrKzQ1dUFwG233caOHTvYt28f\n+fn5DA4OMjQ0hN1uJy8vj0QioQrJvXgWiUQCr9dLWVkZdXV1HDt2jOrqav7u7/4Oj8fDwsICt9xy\nC/X19ezduxe9Xs8DDzwgU2wx3p/JOgQ9b0tLC6lUitHRUSKRCMePH8flcnH77bfzrne9i9nZWS5f\nvsy///u/8+tf/5pAIEBZWRkmkynjcyNqvhrNFXkq0a+56aab0Ol0fOMb38Dr9ZKXl8cf/MEfcPPN\nN/Pxj38cnU5HTU0NOp2O5eVlOcW7WhMOWlBGJJNJ+vv7JSuiYKgUweXExAQPPfQQ99xzD4ODg5J1\n8x1ZkxZORTQBdTodVVVVzM3NyTqw0Gubn59nZGSEoaEhTCYT4XBYEuSrsY50Oi0f4vz8PNu3b8dg\nMDA8PCzVJ4LBoFTInp2dJRAISKUWNcj24epoq8ViYWVlRarUnDlzBriSwlZVVWE2mzEajRQXFxON\nRvH7/XLTZzRqqqi/CkWUSCTC2NgY7e3teL1eXC4XXq+X2dlZ5ubmGBkZoby8nFgshs/nIz8/P+NG\n5vX8LIJMyePx4HQ6icfj7NixQ5Yb+vr6MJvNknlM1KwzpRJQNudEOQ7Abrej0Wiorq7m7rvvJpFI\nMDQ0RDQaxeVyUVtbS1NTk+SdUZOqVInicLvdHD9+HI1GwxNPPMErr7yC2+2mra1NUi2UlJSQm5tL\nLBZTbZ+Kkp9gi3S5XKRSKQwGAy0tLTgcDk6ePMm5c+eYn5/nZz/7GYcOHaKjo0M1vhuxN0RpLjc3\nl/vvv5+ZmRkuXLgAXDkvra2tdHZ2EgwGmZ+flzJvanDNCMSTMOUZFGIDw8PDANTU1BCNRpmbmyMU\nCrFhwwapqrMaebW3xUmLJp1IZ81mMzqdjp6eHi5dukRDQwNarZapqSlefvllXn75ZRoaGnA4HNfU\n2DIxZXc6Eong8XhYWVmhpaWFiYkJKTg6NjbG+fPnycvLw+l08sILL7C8vIzdbsdoNKrWDBERSl5e\nHtnZ2QSDQVwuF/Pz8+zbt4+ysjKMRiOhUAiz2YzFYpGRo3iemT4XETkKqlgh7qrVallYWJCcCCdO\nnCASiWA0GqmtrcXtdsu/q6EAomwILS8vMz09TX19Pc3NzWzYsEES6Jw6dYpz586xZcsWbrnlFsxm\n8zWHJ9PGoXCygkioqqoKg8Egeb/T6TT9/f28+uqrWCwWXC4XO3fupLy8nPPnzwNX0UKZmEC4iMgt\nLy+P+fl55ubmMBqNvPrqq5w6dYr29nZSqRR9fX3s3r2bxsZGVXmtr+dVEWRfZWVlJJNJyaXt8XhY\nXFyktLSU6elp4vG4LAuqsQ5ljX1paYmSkhJaWlqYnp7G7XbT0tLCxo0bGR4e5je/+Q2jo6MYDAZK\nS0slMEBka5msQfw+QiUmFouRl5cnJeSsVivV1dUyuOru7qagoICSkhIGBwdlQPOObRyKX1Kj0eBw\nOCgpKUGr1VJXVycRHi6Xi6ysK6rQJ06coLS09Jquv1rOWiAXdu/eTUVFBb/+9a8ZGBhg48aN9PX1\ncfjwYWpra/nP//xPXnzxRcrLy2loaJCdfjXggKIZJJpjx44do7a2lgcffJBwOMyJEyf4+te/Tltb\nG7fccgsWi0UeQLWehUgjDQYDCwsL5OXl8eijj1JZWUkqlWJ4eBibzcbo6CidnZ08/PDDfOtb3yIU\nCqmqdKEsMwwPDzM5Ocntt9/Opk2biEaj/PrXv5b1cVFvFbVgJZY9UxOll3g8TmNjIy0tLZw5c4bD\nhw/zzDPP8MILLxAMBqUqdmVlJR0dHWi1Wrq7u1UjPVJeWiUlJVRWVjIxMcHv/M7vsHPnTlpbW+nt\n7WVycpKXXnoJl8vFT3/6U/R6PV/5yldkvVQNgjCRoYjsRogQTExM0NfXx+TkJLt27eLBBx/EarWS\nTCbp7e3F5XKxtLSkSj1YlOVWVlaIRCIEAgGeffZZTp8+Lf9Nb28vTzzxBI2Njdxwww3ccMMNUvZL\nZCSZmHI+QUTDkUiEd73rXVRWVjI4OMhPfvIT0uk0tbW1dHZ24nA4JJzW6XTi9Xrf+WrhcJWi02az\nUVpaSjweZ3h4mKKiIt7znvfQ0tKC3W6nt7dXYk/VZPsSDr+2tpaamhoCgQB6vZ7t27ezd+9eBgcH\nKSsro6amhsXFRYLBIK2trRiNRgltUsMpKKk5RdQkovXTp0/T09ODXq9Hq9UyMzNDWVnZNXhMHurq\n3gAAIABJREFUtUxEOslkUkYARUVFRCIR9u3bRyqV4vjx42zevJl4PI7X65XPQGB01VTHFqiVo0eP\ncvToUebn58nJyaG9vZ33vOc9DAwMEAwGuXjxIjab7RoYoJoO0ul0SvHd4uJijEYj+/fvp6CggHXr\n1tHf38/Fixfp7+/H6XRK7U7l0EKm68jOzsZoNBKLxQiFQlK8WJRiZmdnGR4eJhKJyCxErEOgUzI1\nUaoMhUJEo1GmpqZkCaygoEDumbGxMdLpNH/0R39EZWUlP/rRj1QVbhaXcyQSweVyMTc3Rzgcpqqq\nio6ODpaXl7n//vu57777WL9+PSdPnryG5ne10lX/kwmYcFZWlhz4OnXqFKOjo9jtdhwOBzMzM3g8\nHurr669h5nuz/uNtd9LDw8P4/X6mp6eZnJzk3LlznD59mqGhIfbv38/y8jJ5eXk0NTXh8XhUVWaB\nK51ho9HI9u3bMRqN/PVf/zUul4sbbriBWCzG7OwsDz/8MLfccgsvvvgisViMe++9VyIKBLG5GpZK\npWTNe2ZmhrNnzzIyMoLX6+X3f//3eeCBB/jud7/Lq6++KuFO8XhcDr2o0bQTXwV+/JOf/CS//e1v\n0ev1fOYznyEYDPLKK69gtVpJJBJ897vfxWKx0NTUpNqFBUiUjdBx7O3tpbu7G41Gw+OPP05JSQnd\n3d20trYyOzvL+fPnVYVDwtWo0Wazyf7A5cuXsVqtbNu2Db/fz9DQECsrK1y8eJGTJ0/S09NDeXm5\nLF+JHsJqTQQROTk5FBQUkJ2dTSwWw+12MzMzI5V8CgoK+PCHP8zWrVvp6+vj5z//uWxems1mOWmX\niSmn+8T8gjiPJpOJG264QZaHhoaGePXVV9m/fz91dXVYrVZWVlZUCyrEfhcc8Hl5eWzevJmSkhLm\n5ubk3202G0ePHuX8+fPU1tZKHchMyx3CRKnD4/EwMDDAwYMHpbzYgw8+SDAYlHBWnU7HwYMHCYVC\nbNmyhXA4fA1n/v/6MzNe9f/SRLQjalYVFRVSSstkMlFYWMirr76K2+0mlUrR1tZ2zcNVK5rOzs6W\nqtQLCwscP34cvV5Pbm4uIyMjnD59mnXr1qHT6dDr9dxxxx2sX7+eI0eOyBqhWraysoLH4yEej1Nd\nXU15eblUc9i4cSOxWIzR0VHgCq+03++X36uWcxQok1gsJqNYo9FIR0cHW7ZsYWBggI6ODurq6ohG\nowSDQfR6PVarFZ1OJyO3TEw5am00GiksLOTOO+9k9+7dlJWVUVBQwAsvvMDQ0BCNjY3yM8WAgLi8\n1DK9Xs/IyIiMUp1OJ4uLi3z7299Gp9ORTCaZnp6WOPHJyUnsdjtWq1WVZpmojRsMBrKysojFYmzY\nsIFbb70Vp9PJwMAA8/PzFBUVYTAYCIVCdHV1yWgakMMUmZhyQk6MfAsV8KWlJc6ePUsymeT9738/\n+/fvx+VyMTY2JvsaSo7pTEzQIkSjUcrLy8nLy5NZ+JkzZ9BqtVRVVdHd3c3w8DDz8/PE43EqKyuv\neR9qRfUCyaHX66X2pU6nk3qlJpOJiooKOQUq5NVW29x+25x0Tk4O8XicxcVFWZeurq6WU0rpdJqh\noSEmJiZksV1gM9UYDlCuw2w2E41GmZiYwGKx0NbWxo4dO2RDUTTxlpeXWb9+PQaDQab1aimkiM3j\n9/vJysqisbGR/Px8fD4fgUCA/v5+fvvb3zI4OEhxcbEcbFFDr+36NShHZ2+99VY6Ojq46aabaGlp\nIZFIsGvXLtrb20kmk6xbt466ujoJ4ldO5K3WxMYVorjivxUUFKDT6fjJT37CM888Q3V1tWymirQx\nPz+faDRKLBZTTcculUoxNTXF4OAgd955J9u2bWN8fJxYLCb3g91uZ/369UxMTDA9PS3H0zMNKJQj\n8nq9XkbRW7duZdeuXdjtdtxutywTGgwGRkdHcblc5OTkYLFYrtEkzNRE2UUQ/jc3NxOPxyVOHK5M\nYBYXF9Pb24vH48FgMGAwGFQRKhbPQpQ7mpubaW5uJhqNcu7cOcbHx3nwwQcxm838x3/8B1qtVkq8\niaGrSCSi2hSmaB4WFRXJ8Xyv18vCwgLRaBSdToff75cZjZgnEEry71gnLX4xnU5HWVkZfr9fvmDR\noTebzTQ3N1NSUkJVVRUajUZK2CtFYDMxUfQHWFhYwOfz8Tu/8zts3bqVmpoa/u3f/o2VlRV8Ph8/\n+tGPmJmZkTVHn88nI7hMUziRBorNl5WVxaZNm4jFYrhcLg4cOEB/fz+7du3i3nvvZd26dVJnTzTY\n1LgsRE08GAxis9koLCxk586dvPbaa5w/f15GkvX19RQVFZGTk8Nf/dVfSfVyITaa6RrgKneJ3W4n\nHA7zj//4j8zOzlJaWkpDQwN/8id/QklJCePj44yOjrJhwwba2trkVJka6T1cbWIKxZG9e/dSXl6O\n1+vl2Wef5eabb+Zv/uZvWL9+PbfeeivHjx/nzJkzMvKFzCM2Eanl5eVRXl6Oy+Xixz/+MQcOHCAv\nL08O8oyOjtLR0UFxcTHZ2dlYLBZZIlFjHaIMJjDXAi7q9XpZXFxk48aNeL1eTp8+LXkz3G63vCBE\nWTDTfSoi+ezsbBoaGujs7OS5556TEMg/+7M/48c//jG/93u/x0MPPcTly5f54he/yMGDB6muriY3\nNzdjagklj0kymaSiooLNmzdTWlrKwMAAR44cQaO5QhLX19eHwWCgpqaGlpYWsrOzmZycXHWN/m3D\nSQvH1NTUxMLCAnNzcxw5coRYLIbJZGLTpk1YrVai0SjhcJj+/n5mZmZURRGIdYioJzs7m7KyMmw2\nG8FgkJycHGpraxkYGGBwcBC32y0Pv0jf1MJ9CtiO+COaTiaTiS1btrBp0yYZyXo8HkZGRggEAjKr\nUOOZiPRLp9MxMzNDb28vi4uLnDlzht7eXtrb22lvb0er1eJ2u0mn01KTUrwrNRsyYnpO6BhqNFcE\nPx977DHa29t54oknmJycJJ1OS3jc1NRURqmk0kSNfXl5mYqKCrKzszl06BB+vx+Xy8Xv/u7vSrTH\nPffcg1arxWQyUVlZKaO2TKN5JZtaPB6npaWFHTt2MDIyQjAYxOFwsHfvXqanp3E4HNx4442SrkCU\nX9Tcp6JXEAqF0Gg0zM/Py3F5h8PB9PQ0hw8fpry8nGAwKCXgRJlSTZy0RqNhenoanU7H4cOH6enp\nobW1laGhIUZHR7nttttoa2tjamrqmmlikQmosQZBuCXmFURpdHl5mYaGBgCpker1eiVkFq6y5b3Z\nPfK2TRzClV+0sbERq9WKzWbD7XZLfHIgEKC7u5tEIoFer6e0tFRGV2rVpMVBTiQSzM/PEw6Hsdls\nLC0tUV1dzWOPPYbX6+WXv/wlJpOJuro67Ha7TB9BHRysqM/H43GKiopIJpNcvHhRYqYbGxuZm5vj\n6NGjchS3uroauMoUp1bJIycnR8rRHz9+nDvvvJMvfOEL6PV66uvrOXPmDI888ghmsxmn04nZbMZm\ns0nsqRoRvXgnyWQSt9tNcXEx733ve+np6eHixYs8+uijkqVw9+7dNDc34/f7paK3mDRU6zIPhUKU\nlpbS3NzM4uIiS0tL1NbWEgqF6OnpYcuWLVRWVkplaNHjUMNExJZMJpmYmCAWi2E0Gtm2bRvRaJT2\n9napVl5VVYVWq5XID1EaVOPCgqvPU2g5LiwsMDMzw/bt27n77ru5fPky4XBYEk6JjBOu1tXVsHT6\nCuVoVlYW4XCY3t5e8vLy2Lt3Lx0dHXz/+9+nv7+fjo4OnnvuObq6uigsLJTzBWqVCJUEYOPj45w/\nf56f/OQnGI1GysvL2b17NydOnCAUCsnemsh84Sqi683a20qwJEoJAkUxOTmJx+NBq9USDAbJz88n\nnU6j1WolV67a8Dvx8wQ1aiAQ4NKlS8zNzVFSUiLHjIuKiuQLUY5hq9V8EGvR6XSSflNsxnQ6TSwW\nw2w2k52dLSlbhalNu6jX6+Uo/NDQECUlJdTX1zM8PMy5c+cAZDlEwN5WC8y/3pRNnXQ6LWFLy8vL\nEg4Yj8cxmUzs2LGD2tpadDodoVBIZkXKOm6maxG/kyA2KiwspLm5mdraWgwGA+fPn+fcuXOkUik8\nHg/hcPgaLmc19oeyKezz+XC73Xi9XkKhEB6PB0CWqEpKSmTkJn4HYWo9D7EHrVYrpaWlNDY2Eg6H\nGR8fx2QyUVZWRk5ODrFY7JoxfzW5O+BKgCSog/Pz8ykqKsJqtXLmzBlisRhjY2Po9XpCoRAOh0Oy\n4Am1brXWkZWVJYPIkZEREokEOp0Or9dLJBKhtLSUoqIiSeEA176Ld+RYuDAx9768vCw3XCgUktN1\nSkekBsTsjUwcQgFjMxqN6HQ6IpEIIyMjMl00mUwySlQTXaI05bhrIBCQTkfUN8vKyoCrkbf4HrUv\nLq1Wi8ViIZlM0tXVJQdt8vLy8Pl8NDU1UVxcjNlsvqaJ+lZcoCIqjsfj6PV61q9fj8PhIJFIsLi4\nKC8wtZE2168lEokQCoUkzaTJZCKVSjEzMyNZ78SQhLJeqdbnC6cv+ijFxcXU1taSk5Mjub1FCU6Q\n9igFKpRfM10LIAMnUc6YmJhgfHyc7OxsEomEpNB9o8tCLRPlF0FPGwqFuHz5MtPT08AV7LIoPYi9\nqpaDvn4dgr3SYrFgNpuprKyUZ7i4uBiDwSCDMHFxKb//zdjbjpMW3K46nY7a2lq5Ia+HlL1VBxCu\nRROIFw9XOY3Fg38jU/swiq8CQiaaiWqWef43ptVqJYmUsqQjxl7hymUhDshbYcrIXGCN0+m0hDnl\n5ubKMpGwTCKU/8mUF2I0GmV4eJjR0VGZQYgBiYWFhWuib7Xs+nFs4ayVDkpkncp/r1Yt+o1MKJ8I\nzhJRly4sLCSdTjM/P/+6tYM650VZZhD7VHl2tm3bJi/4eDwuUT9qvxelCb4UgakXPRsBcojFYrJM\nlOk6NG/VS12zNVuzNVuzzG1NiHbN1mzN1uwdbGtOes3WbM3W7B1sb3lN+nr14+vrrAIbnEqlroFT\nCe5pJQA9nU6vWv34n/7pn+Q6lDUiUd8S8CUhsxOPx68B44t/L773k5/85KrW8ZnPfOZ1qsMCrSGg\nQqFQiHg8js1mw2w2S8Yt8e+VRD5///d/v6p1fOELX3hDlW4lAYzAcIs+gqhNi2aMqOmn02n+5m/+\nRpXnoTSBllAqYYhnpGxeinVn8jweeeSR9BuV/kSPQDSB4IqUlOBHF8gOJSxSo9Hwj//4j6taxze+\n8Y03VC1XNrAF2df8/LxUkRFsc8oaaCqV4tOf/vSq1vHlL3/5dQ/jelhdOn1FQEM0LkWDW4l0Ebjg\n1aq4f/rTn37DfSp+tgAYpFIpCWFNp69wxr9Rffwb3/iGas9DnEHxTILBoGxq63Q6cnNzpWiykuI4\nKyuLv/7rv35nq4XDVeck8I/RaJSuri5isRj5+fm0tLSoOg7+RhtMYI6FAzIajRI3LXgqcnNzZacW\n1GXkg6tq4RaLBavVitFolNCu+vp6jEYjwWCQkZERVRtE1zczRKNWPCPBG6zRaBgcHCQUCsmLTCih\nqAVrur75p0S9iAGapaUlCVUUyhwCmQLqwM2UJn6eTqeTI9G5ubmSUD47OxubzSYJnkRzTy2MsnJ/\nivUI3hnhmAKBgMSvi/F48VwyXccbnRfhlMWZWVhYIB6Py0lH0VgUfNxqNr6VF4BYHyAV4wUCRqA+\nAoHAW3JmlZeDRqORHDbLy8tcvHhR0i0LilmHwyH9ifL734y9rThp4JqNJ7gaCgoK8Pv9HDx4EEBy\nR8AVDUAxIZiJXY9zFgMqgUBADrasW7eOVCrF+Pg4/f39eL1etm3bJg+oWHsma1FGOsLp6fV6Ghoa\nKC4uZnl5GZfLJaFdExMTzM7OAlezC5FtZHIIlRs4nU5L6J+A3uXn57Nt2zaysrIYGRnhzJkzTExM\nUFJSIiWsBNtaJuO2SlUVJf5aRCThcJiRkRHsdjvV1dVMTk6ysLBAfn6+pBRQG2EholVB/CWEbgcG\nBpiYmCAajUqCLsGZbLFYJM+FGk5aSJOJr4IwKZ1O4/F4mJiYkBwSJSUl5Ofns7i4KAV6M6VuVZ4X\nsVfFZOfy8rKcGNZqtXz0ox+loqKCRCLBpUuX5DStmuyVKysrMqAR+00IVmi1WoqLi7n33nvx+/0c\nPnyYEydOYDAYcDqd8t+rQUqmvLytViubN2+msLCQpaUlBgYGGB4eJhwOU1FRQVlZGUVFRVKseDXT\nhvA2ThxmZ2dLtWMxUllTU0NJSQnZ2dm0t7fzve99j+HhYex2O5/+9Kfp7e3lF7/4hUxnM9n8ypRx\nZWWFYDCIVquV2mx2u53CwkISiQRVVVU0NjYyPDwspySzsrKknH0mo9DKCEeQs4j02e1289JLLzE/\nPy812iYnJ+nr66OlpYW6ujo5khoOhzPe/MJBi7F3s9nM0tISly5dIhaL8atf/Qq73c4nPvEJPv7x\njxMOh+WYtIiYEolERtScwrKysojH45Lfe9OmTZI86MCBA3z0ox/lgx/8IN///vc5fPgw733veyko\nKGByclI6hYxgTorL02QyUVNTA8B///d/EwgEKCoq4rXXXiOdTkuu5Oeff57JycnXOdRMLi3lO1la\nWpIpdEVFhZzsO3z4MEtLS3zpS1+isLCQf//3f+fpp59m7969mEwmfD4fKysrqkjOwZXz63A4qK2t\nZdOmTVy6dIm+vj45mu90Orlw4YJUOxK8J2JASy28dk5ODjabDUCyJUajUZ588kmGh4d55plneM97\n3iNLL2IAR2TKaggmC1tZWcHv93Py5Ek583HPPffw8MMP89vf/lZmX16vVxK26XQ6LBYLFovlTX3W\n2xZJJ5NJQqGQ1IcrKChAr9eTlZXF4OAg69atY+fOnVLx4Re/+AVjY2OMjo5KMctMBC2VKfTS0hJ2\nu52SkhIA5ufnaW9vR6fTMTo6Snt7O/fccw/T09P84Ac/IDc3V7KvqSF4KuqFKysrjIyMMD8/zw03\n3EBubi5er5fbb7+dHTt28Morr2CxWCRVqM1mY2pqikQi8YbY8jdryghWqOW4XC7KysrQ6XScPXuW\nlZUVfvGLX3DDDTfQ2dmJXq+no6NDKmYLLGgma4Ar+yOZTKLX66mqquLmm2+W/Acmk4m8vDxGR0fx\ner0YDAa5f4QwhKiRZ7oOuIqPHh0d5cUXX2TTpk3s27dP6vu5XC6mpqa4dOkSbW1tGAwG5ubmAKSi\neSbrEO9WkF/l5uZSXV1NYWEhBoNBOmFRApubm+O5556jurqajRs3kpubK6lFMzFlrT8/Px+n08nw\n8DDHjh2T6xIESwsLC5J/J5VK0dLSIjnYFxcXV70G5SCXGNxJJpMUFhbKIbSdO3fidDql0KvVauW+\n++4jEokwMzMjSzRqSYoJyuXZ2VmMRiPhcJhQKMStt97KSy+9xMGDB8nLy8NqtbJlyxbZwxFEc++4\niUNRvxEMbhs3bsRisVBSUoLNZmNubo7S0lKsVisXL16UoPgf/ehHuFwuCgsLpdPIlMVKCYjfvn07\ntbW1nD9/nubmZtatW0dXVxeXL19mbGxMpv9dXV3odDrWrVtHJBIhEolk9LKVtcZYLCaVuj/wgQ/w\n1a9+lfz8fOrr63nsscfo7++npaUFp9PJ/Pw8J06cAKCwsFDyAqzWlKmXqOdlZWVhs9m4+eab8fv9\ntLS0UFNTw0033cRLL73Etm3b6O7u5uMf/zitra3EYjG8Xm9Gl5Y4hOJ5CCf31FNP4XA4yMvL46ab\nbiISifD000/j8/nYs2cPubm5nDp1ipycHIxGIzk5OaqUoQCpin369Gk+9KEP8fnPf55kMsmTTz5J\nW1sbx48fZ3Z2lqqqKt71rnfR39/P7OysrBWrQZkKSAGM2tpazpw5QyAQoKGhgQcffJCLFy/yox/9\niJ07d7J9+3aeeOIJqTsopv7UWIconVy8eJEXX3yR6upq7rnnHpaXlzly5AjNzc243W7q6urYunUr\nf/u3fytZLIPBIOFwOKNIWpT9RF13amoKrVbLP//zP1NUVMRHPvIRydR355138rOf/Yyf/vSnfPnL\nX2Z8fFz2MjLNtOBqo1D4oT179qDVannllVfYt28fgUCAp556im9961u43W5+85vfSIIyjUYj382b\nPS9vOQRP/GI6nY78/Hw2btzIxo0bJftcYWEhDQ0NFBYWkpOTQ1NTE7fddhvt7e00NDRgt9sxmUyS\n0yJTEy8qGo0yMjIiuRCEIviePXswm82Sq7apqUluEGVdcLUmUi9xI4tI+eDBgwwMDLBv3z6i0Sge\nj4dPfepTvO9978NkMjE3N8fi4iKRSERGN5mm93DVIQSDQbq6ukgkEgwPD3PgwAEqKiqoqanhrrvu\n4tZbb5VRo8iKotGoauofYi3xeJy+vj5Onz5NWVkZnZ2dJBIJxsbGMBqNGAwGioqKcLlcUlFekOOr\nsQ7BhCdGf3U6Hb/61a/44he/SFlZGRUVFZLTo7KykuHhYaampmSDUQ3HKNAAWVlZ1NfXU1VVxcDA\ngJQ4a25uxmQyYbfb8fv9xGIxNm7cSDgcZnJyknA4nDHxlZIUCK5km263m9tvv52mpiapFBOLxQgE\nAhw5coSnn36aU6dOMT4+zvz8vGw2Z/o8RAlFUAWUlpYSi8VwOByUlpZy6NAh5ufnMZvNJBIJTCYT\n4XCYiYkJOUWrpoMWvYD29naeffZZuru7sdlsTE5O0tTURGdnJ7m5uczNzTEwMMDU1BR5eXmrZrB8\nyyNpseFFI6G4uJhIJMK5c+coLCxEo9EwMTEhmy9Op5Pi4mJJ7O7z+VTZ/MLEA5qcnCSZTEpERSqV\n4t3vfjehUEjWXBsbG6mursbj8ciIQvkzVmPKaEur1WK1WjGbzbz44ouSerKvr4/W1lY+8YlPcOLE\nCb7//e/T3t5OQUEBgUDgGojTak28F/E7Xbp0iQsXLnDHHXfwyiuv8OKLL/Lwww9jMpm48cYbaW5u\nxul08txzzzE/P4/dbpdOOpPnIT5f1BBjsRi9vb20tbVRV1dHMplkaWkJvV5PRUUFy8vL2Gw2BgcH\nJYugGpfF9Q2unJwcSktLuXDhAgcOHCAnJ4dPfepTTE9Pk0qlKCgowOfzSUY2g8GgynsRmadIj4uL\ni6UCTlFREYlEgiNHjjAzM4PT6WRmZgadTkdDQwOjo6MsLS1hs9lkuWS1psxK0um0FDpIJpMcPHiQ\nF198kVAoRFNTE2fOnJGk9+LMxuPxa+ClmTwPEZCsrKxQU1PDrl27GBwcpKOjQ8IPN2zYQGFhoczU\nBemUyWTCaDRKEedMn4egKhVkcU8++SSVlZWMjo7y6quvotVq+eUvf8nLL7/M5OQk3d3dVFRUUFxc\njFarXdWl9ZY7aWWZQafTEQgEOHbsGJOTk9xyyy1EIhEOHz5MXV0dhYWFnD17luzsbHbt2sWGDRsY\nGxvD5/Op0iQTfxKJBAcOHKC+vp6Ojg5++ctfotVq2bNnD8FgkEgkQkNDA2VlZUxMTNDa2orL5ZJQ\nn0zXIWpUomQxPj7O8ePHMZvNBINB3G43BQUFPP744/z93/89AD/72c/43ve+x7FjxzL6fKUpHVNv\nby9er5fdu3dLqs6vf/3rrKyscP78eT784Q/L0oJer2dwcBC/3y95nzNZA1xx0gUFBcTjccnI9+Mf\n/xij0cju3btJpVKyDBWLxdBqtdx8882UlpYyPT0tU/xM1yEu0KKiIhoaGnjyyScBeO9738vs7Cy/\n/e1vueuuuxgbG+PQoUPs3LmT9vZ2Lly4IIl91OCqAGT26PP5+Ku/+ismJiZ46qmnKC4u5qGHHmJq\naoqnn36a8+fPMzExwdDQkGy4qpXeC/Hjbdu24fF4+Lu/+zsaGhpob2/HbrdTU1PDoUOHeOihh7j/\n/vv57ne/y+XLl0mn05hMJpn5ZfIsBJNdTk4ON954I3feeScvvPAC4+PjxONxqqqqeP755/F4PHg8\nHqnmnkqlJJOk+HsmJsALoVCI06dPc/LkSe6++27e/e53y37A0NAQp06d4o477uBP/uRP+PznP8/5\n8+f52Mc+Jucw3qyjfltx0llZWQQCAQl3a21tZWFhgT179tDW1sb8/Dw+n4+ZmRnZMBQEP6uVnlGa\nuCyEtI6AmsViMYaHhzl48CCxWEwSz7/wwgvk5OSwY8cOiWZQS4VZOIOlpSXC4TCNjY2yzBEKhSgo\nKGB4eJjs7Gze//73E4lEcLvdMmVSiyVQRCg2mw2TyUR1dTX33nsvxcXFDA0NScbC7u5uJicnJbRI\nlEbUQHbAVYfQ3NxMXl4ep0+fJhqN0tHRgcPhYGBggBMnTtDW1kZ+fj52u53m5mY53KIWkQ8g1aUF\nZ7HP5yMrK4tjx46Rk5NDdXU1CwsL1NXVsX79eioqKrhw4YKED6phIoL0+Xwkk0nuvvtubDYbL7/8\nMhUVFVRVVdHf309lZSVVVVWsrKxgMpmwWq2qqBgJEw7SarXi9Xqx2+1Sfk404JuamgiHw3R1dbF5\n82bm5+dlmWE1wqtvZAITn06nGRgY4OLFi1K1p7+/n7y8PPx+P8PDwzgcDinppswW1TChB+pyubDZ\nbHzsYx+jpaUFg8EghXkjkQhFRUW0traysrIi8evAO9dJi/qaUBkpLi5m48aN9Pb28vzzz0taQYPB\nwPve9z6ysrL413/9V+LxOHv27JHRhBpSTaK+JYr3nZ2dfPSjH8Xv95Odnc3Fixf54z/+Y3Q6HY89\n9hjl5eXodDo8Ho9UAFZDAVnAhGpqanA6nezZs4fLly/jcrm4//77qa6uJh6Ps2/fPiKRCHfeeSep\nVIpbb71V6kVmsg5lFG21Wmlra2NycpIPfOADRCIR8vLy2L59Oxs2bGD79u0SaXDLLbfIOqSQU1Ij\npdVqteh0OiorKykqKqK7u1vyFx88eJBDhw7x8MMPU11dzcDAAIlEAovFwuzsLNFoVBXozgqCAAAg\nAElEQVQHLS7xZDJJT08P8Xgco9HI8PAwLpeLO+64A4vFwn/9139RWlrK7t27icfjuFwuqbG4tLSU\n8f4Q0WNxcTGnTp3i4MGDrKys0NjYSEtLCy+99BJ9fX0UFhayf/9+qqurWV5eJhwOS2L8RCIhBygy\ntXQ6zeXLl3G73Xz/+98nOzubxx9/nJ6eHt71rncRiUT40z/9U6ki4/F4uO222yTqQQ2UCVxxcM88\n8wxzc3Pk5ORgMpkYHBykqKiIv/zLvyQ7O5vBwUGJGNu7d69kTVRDNQeuCPzGYjHq6urYsWMHc3Nz\n/Mu//AuRSIQvfelL5Ofnc+rUKY4ePUo8HueDH/wg69evZ3x8nFAo9M7FSQOyphsIBCQeWagL79ix\ng/n5eZaXl+ns7KShoYFkMimRFGpGBjk5OXJybWFhgcHBQSnBPjc3h9vtlnXf5uZmWltbgasQLzWI\n3ZU1+pKSEnQ6Hf/5n/8plY+zsrLo7u6WqjCDg4NMTEzQ0dEh+ZzVKP/AlQjWYrEQiUSIRqO43W7p\nMOPxOF6vl7y8PAoKCrBYLAwNDTE+Po5er1dVFBeu7JGuri7i8TjFxcWsW7cOh8PB4uIiW7ZsYe/e\nvbz22mucOHGC6upqRkZG5Ah9ptqTyrLc0tIS09PTLC0tEYlEmJ6eprq6mvXr19Pb28vc3Bz19fVE\no1H6+vqw2WwSa65G41Cj0Ui1F5/Px/DwMIlEgrKyMiKRCBMTEzQ1NWG1WgmFQrz22mts27aNyspK\n2TRUw0ErZwt8Pp/kbV5aWiIQCGA0GuUa7r//fvbv38/XvvY1srKyZOkuUwctTAR5Y2NjLC0tcfvt\ntzM7O8uxY8fYvn0709PT9PX1YbfbqaqqorOzk6KiInp6elhaWpIN4UxN6E+2tLTQ0tLC7OwshYWF\ndHZ24nA4cLvd3HXXXbzwwgt0d3ezfft22trapOrUauxtc9LCucXjcanunJ+fz/bt29myZQszMzOc\nO3dOctVarVbKysrkhJ9ayI7s7Gzy8/NxOBx4vV7++7//m1gsRn19PT6fD71eT29vLwUFBezatYuK\nigpGR0clTlvNMVcRDbhcLs6ePUsgEKCjo0OqxTQ2NuJ0Okkmk2zbto2Ojg4pRCoGJ1ZryoEa4ZTz\n8vL4xCc+QWFhIW63W8LQioqKMJvNhEIhLl26RDqdltG1kusjU0smk5w4cYKlpSX2799PZWWlVH7e\ns2cPbrebU6dOEQwGCQaDDA4OysxGjexGvFsx7CRS16ysLCoqKvB6vYyOjtLU1ERNTQ1DQ0P09vbK\nbEiNaE1ZjxZNZbPZTH19PZWVlczOztLe3s4NN9zA5OQkU1NT9PX1UVNTQ1NTk2wIq1UKS6fTksfb\n7/dz9OhRsrKymJmZoby8XJYlP/ShD9He3s6jjz4q1bzFhaGGid8rEAhQU1PDpk2bOHLkiCzF9PX1\nceDAAe644w6qq6slllmINqi1BiE3p9Fc0VssKipi//79rFu3jtOnTzM+Ps5HPvIRIpGILNfOzMww\nOzsrEUPvOJw0IJ1Abm6ujAT8fj/Nzc3ce++9RKNRZmZmiMfjvPDCC5jNZtrb2zEajYyNjUkynUxM\nyXvhcDj4+Mc/jtvt5sKFC2zZsoWdO3dy9uxZ5ubmeOaZZ9i2bRs7d+7kxIkTjI+PS4igWvVoAZES\n6h+f/vSnqa+vx2q18s1vfpPKykpuvPFGHA4Hubm55Ofnk0ql6O3tlQ0ltcbTQ6GQxKdv3boVk8mE\n3+/n+eeflwMUkUiEy5cvU1FRwZ49e+TEVSQSyXi4R2RLoqSSl5cno6CBgQHuu+8+Nm/ezIc+9CHu\nu+8+vva1r/GVr3yFqakpGhoaJH9Gpu9GBBJCEWb9+vXk5ubS09PDwsICgUCAdevWEQ6HparPrl27\naG1tJZ1O4/V6CYfDqjSoxATo//k//4cHH3wQt9vNt771Lfr6+mhoaOCHP/whDQ0NbNq0iZycHGZn\nZ+WgmNAZzNSEuIHFYqGxsZFz585x8uRJHnroIT72sY/xgx/8gC984QvcdNNNTExMcOHCBT75yU9i\ns9no6uqSYrCZXlyCRCqVStHQ0EBVVZWEyN50001s3LiR48eP09DQICdDn3zySW655Ra2bNmiyuAX\nIN9JYWEhXV1d/PznP2fXrl00NDTw7LPP8u1vf5v77ruPp59+WlI9PPLII+j1eux2u9RbfLPgg7dN\nLRyucE+0tbVhMpmYnJyUjtnhcOB0OmUjUaQ2ohEjeDPUaBwmEgkikQjl5eVUVFRcgyowmUwSNuT3\n+xkYGKC7u1sOeYj/Tw1ssGiGCj2/eDzO7OwsPT09UrIKYGRkBIDS0lJ5aNTadKKpIiIel8vFBz/4\nQanR9od/+IfcfPPNzMzMyCamkNIaHR2VGFY11iBQBO3t7TgcDpli+3w+vF4vZ86cwWg0sn//flpa\nWvD7/dfwU6hVkxalBpvNRmNjI1qtVmJdY7EYfr+fvr4+du3aJafc7HY7brdbDl5kaoKfxePx4HQ6\nqaiooKuri/HxcclKODQ0xF133UVjYyNjY2OcOHFCwhPVeB6AzGKXl5cpKiqira2NqqoqdDodJpMJ\nm82GxWIhHo/z3HPPyZ5JJBKRPR61ymHiUly/fj3FxcUcOHCA+fl5KVUleG9ycnLkfxfyc0q2vExM\nDMKZzWa2bt1KPB7H4/FI5fRHH32U0tJSnnrqKTo7O3E6neTm5kp4scViWRXq5m1x0qIjmkqlaGpq\nora2lqmpKc6ePcuZM2f4yEc+QllZGaFQSI56CnFHcXgEPedqTTgDISD6q1/9Co1Gw6FDh5iYmKCg\noIB/+Zd/YcuWLWg0GsLhMIFAAKvVKmkgl5eXVamPi7WIEVdB9OTxeFhcXKS1tZX8/Hz+4R/+Aa/X\nS3V1Nbfddts1PASZEugoJx9NJhNbt27lxhtv5Pz58/j9fvx+P6Ojo5w/fx63282uXbtoaWnB6/Wy\nsLAg16BWhrOysoJer2fHjh2Ul5dLhjW32y1LDhs2bKCrq4tjx46xsrJCQUGBbMCqsQ7xJzs7m0Ag\nwIsvvsji4iLxeJyWlhY2b97MxYsXCQQC5OXlodfrZSorxrDVQndEIhG6u7vp6upibm6O/v5+1q9f\nz/ve9z6OHz8uSai6uroYGhqSzG8mk+l1gyirNfG7+Hw+Tp48icFg4JVXXuHZZ59Fp9Pxuc99jrGx\nMX74wx+SSCRkmUPQJ4A6quFK6tzq6mrKy8ux2+309PTw9NNPEw6H2bx5M9XV1czOztLc3ExdXR25\nubkykldLjk+MuO/evZu2tjYeeeQRnn/+eUpKSvjbv/1bent72bt3L7fffjtmsxmHw0EwGJSByGq4\nTN4WJy0gUktLS4yPjzM9PY3H42F0dJTJyUmOHz9OcXExc3NzRCIRialWNurU2HBiBFl04QWto81m\no6ysjJqaGvli4/E4ubm5stygFpsXXMtAJ7gGBBjfbDYzOTmJy+XCYDBQWVlJXV2dFLQUF41ajUPR\nJ4jH4zidTv7yL/+SSCTCiRMneOyxx5ienuamm26SAwHhcBitViv7BGqRPImGXTAYZGJiQlJgNjc3\nU1hYyPLyMpFIhLGxMRk5CQIftQ6gkpEPrhzIoaEhLBYLpaWlLC4uEovF5GSf0WjE7/fL7xfPQy1H\nLWriGo2Gzs5ObrrpJhoaGjh+/DhWq5WRkREsFgt5eXmUlpZiNpuvmQfI1IRzTKVSLC4uSnrS6elp\nnE4nXq8Xn89HfX098Xgcs9n8Og1MNSJpJSOfmKh0Op10dnaysLAgz4bL5ZJZoXKYR9kkz8TE8wgG\ng5w9e1YSPjmdTqxWKx6PR9atZ2dn0el0BINBOfAlfM870knDtb+goAMNh8Pk5uaysLAgbxqr1Xpl\nYf+3bqNW0V/5osRDMhgMlJaWYrFYsNlsHD58mGg0itfrlU0gJQZXrdRaOYUpOCtmZmZIJBLyoJnN\nZlpbW8nKysJut8sLJtNx3zdaSyKRYGpqSh7ArKws5ubm2LJlC+3t7ZSXl0t8p+AhUOvSUvJlJJNJ\nFhYWCAaDLC4u4vV65bMRxPLCIauNB1aawCjr9Xry8vLIyckhEAhw9OhRvF4vgERQ/E885ZmY+BkC\nawzgcDjkyHwwGMRgMMjJN5FhmUwm1Ry0ch1KjhfBt261Wjlz5owkexKq4YLMSE1T+gDRwxFThlqt\nlsrKSkwmk4Rjiuj5+mehhi8R+9TtdqPRaLDb7dx+++20t7dTX19PKpUiGAzi8XiuoWpV0ji8I8sd\nyo0sHlR1dTXV1dUA8rBdDzwXB1jN6ESYqFM1NjbK6GlgYEAiS5Qv+foISa0oFq48D9GUE5tbp9OR\nSqWoqamRz0Y49rfKKa2srBAKhaSiRTqdpq6u7poBIMG+91ZaIpEgkUhIjmCn0ynhbSKVF5mWci1q\n9SzEV61WS25uLq2trfKZx+NxSf8ZCoXk54rvUbM+Ln6OmB9IpVJMTEwAVwi27HY7AH6/n3Q6LVWr\nr1+L2iagZ3AFjWMwGDAajfJ8Z8rV8f8yEVAo96HoXSjPqyhPKjNnNcouShP9h9LSUgAmJiZkMGEy\nmWR5V43PXFMLX7M1W7M1ewfbmhDtmq3Zmq3ZO9jWnPSardmardk72Nac9Jqt2Zqt2TvY3vLG4Ze+\n9KU3lKgXkLisrCyCwaCE2wm4ivi7cjonnU6/KSl0pT3yyCNyHdc3VgRUZ2lpiUQiIce1TSaTlNtS\ndqzT6TTf/OY3V7WOr3zlK3IdYg1imkrgbEV32mAwyIEegaoQ/59oSnz2s59d1To+85nPvO69wNVn\nIZA2JpOJ+fl5+XliKEDZTE39f+y9eXTb1Zn//5K1WLtly4u872s2x1kJWcjCEpaSAE2HTmHKlLCU\noWVgugxnyrSlhUKnG9PSGWba6coyAwMEGgIJCZDEseM43h0n3m15ky1bkmVJtiT7+0fm3igp8/sN\nlprTP/KcwzmlraWr+7mfe5/7PO9lfp5nnnlmUeN4/PHH/2gc4neGw2Hp1h4MBnE6nZK9KhpFlzqy\nPPXUU1E/F7jQ4BaEjEjzZMFwFMgcgW4Q61qlUi36uXzxi1+8aByRDXcxBq1WS3x8vFRmFIQv0WAV\nYw+Hwzz//POLGsd99933R82qS+GOAnGj0+nkGhb6FJFSDgqFghdeeGFR43jhhRc+dhyRIINI1I9C\noZC6M6LZLprvwWCQ++67b1Hj+PKXv3zROCIb1WItCsVO4Z8qntGlshYKhYLnnnvu/zyOyypVChce\nnnD/FeLZCwsL0gFaq9VKiFEsnMLh4zveYoMR/nriH2H6mpiYKF0m3G53TDCol6JFxOYrfmMkfd3t\nduP1eqVeQKQubiw0IiIXjth4BU5do9FQUVGBTqdjcHBQavPGx8czOzsbM+LGxz0XgXjRarVSfnN8\nfBy73S4RD+np6dKsIRZx6ZyK+RAiQWKdaLVaqXct1vGfAj0QGZGHOUBBQQFGo5HOzk6Z4IiNKTIB\nivY7P259uN1ufD4fPp8PpVKJ2WymoqJCSvi63W6pFBcLZuyl8yogqII9LP47AQ8Vkrt+v1++V+I9\ni2WIdRspWREOh/F6veh0OrKystDpdJw5c0ZaB4r/zycdy2XdpMVCF3ZaWq1WqnsJ6/NQKERiYiIr\nVqzA6/XS2dmJ1+uNifkrXLwpxMXF4Xa7cblcBAIB7HY78/PzfOpTn2Lz5s3k5OTw9ttvMzExIV2s\nhXlutBH5EoRCIZxOp8zi8/PzMRqNNDU14XK5SE9PJzc3F5fLhdPplC9rNOOIhJstLCxI09DJyUkM\nBgOFhYUUFhbS1tZGb28v5eXllJaW0tfXx9TUlBRmWsyiu3QeIschfPpGR0dJS0sjIyNDslBTU1Nx\nOp1MTk5K6JdKpYqJiE9kxiqyYr/fj91ux+fzMTMzw8TEBEajkVtuuQWtVsvExARTU1NSsU7c/mIx\nHnFjEetkamoKt9stFdgcDgf79+8nOTmZ5ORk6QyTkJAgZQeiiUgmqPj3mZkZ2trapFORyWRCr9fj\n8XgwGAykp6dTUlIiCU/Cdi6ajVo8i8gxBYNB5ubmpEStQqFgYmKCtWvXkpCQgNfrxWg0SoU+v98f\nNTQwMrkSWXkoFJIkH6PRyMDAAGfPnuWzn/0slZWV0gdS6NHodDoJD/wkcVk26cgfKKiSWVlZDA4O\n4nA4uO6660hKSqK2tpbm5mZqa2sxm82kp6djNpulFGU07huXXjdEVqhUKtmwYQPXXHMN+/fvZ2Ji\ngtdee40nnniC5ORkKioqGBsbY2ZmBpvNRmpqatTuLGI8CoVCstj8fj8qlUpuBsL+XfzmZcuW0dnZ\nycGDB7HZbJKdGItxOJ1Ojh07hsFg4Mtf/jIajQaNRsM777zDu+++y+bNm1EqlbS2tkqFvrm5ObKy\nsrDZbPL6H00IvYqWlhbOnj3Lvffey0MPPYTVamXLli2YzWaeeuop+vv7aW5uJiUlBbVajd1uBy4u\nB0QzBiHmk5iYSFJSEp/+9KdJTk6mp6eH7u5uaVtVWFjIqVOnpO62y+WSDLxYZPeCJq/X63E6nezf\nv5+cnBz27NlDRUUFR48e5dOf/jS7d+/G6XTyxBNPkJ2dLTfFWPg+Coq8KCn5/X527NghdUsOHTqE\nVqvlyJEjjI6OEhcXR2NjIyUlJVx//fVMTExgt9txuVxRzwcgf1c4HGZ8fJy4uDjKyspoaWmhpaWF\nO++8k87OTp544gnuuusuvva1rzEwMEBPTw/j4+NSeH+xcxH5nwUbdHh4mKuuuootW7awb98+6Ud6\n//33Mz4+ziOPPMLx48c5fvw4K1askHZfnyQuayat1WopKioiNTWV8fFxhoaG6OvrY35+nq6uLnbu\n3MnmzZuxWCx4PB4GBwflA9ZoNDHJYMUV1ePxsLCwQE9PDyaTie7ubg4ePMjSpUtZu3YtRqMRh8Nx\nkYCOxWKJ+tokNmeRIYi6rygjDA4OMjU1hdlsZvny5YRCIU6fPk1LSwsajUaK7Oh0OkwmU9RjCQQC\nOJ1OXC6XdNh4/fXXGR4elkqAjzzyCKdOneIXv/iFlM/s7++/qL8QbYh6t16vx2azce2112K1Wtm/\nfz8ajYYtW7Zw6tQp3n33XYLBoBSVh9ixUkXpQmh3iJpmT08PH3zwAQUFBfh8Pvr6+igvL2d6ehqb\nzcbGjRs5cOAAc3NzMZkPsUaECYJGoyEpKYnc3FwWFhZ4/vnnsdvtZGZmkpycLL3/srKyGB4evui3\nRBPCh1OtVjM7OyuzxqamJhobG6mtreXmm29mZmaG5cuXc/311/PQQw8xPj7Oli1bJEVa3PwWG5eS\n3CJZuSkpKVLfemZmhiVLlnD99ddjNBppaGjgzJkz+P1+qQMdbYiDS9ykhKRCW1sbTU1NbNu2jbvu\nuguFQsG+ffv4yle+wubNm/nqV78qzU0+aVy2TVqj0aDX68nKykKr1XLs2DHMZjP33nsvH330kdTK\nqKurY2xsTPqWBYNBcnNzsVqtUWWw4gooroFCtP2dd94hKSmJc+fOybLCK6+8ws6dO8nIyKCtrY3i\n4mKSk5NxuVwy44smRMYnGqdKpZKcnBwptqTVahkaGkKn03HXXXeh0Wjwer0sXbpUKsRF66UnFr6w\nmN+2bRuf/vSnqauro7S0lLvvvhuXy0VNTQ0vvPCCrFGXlZXh9Xqprq4mJSUFs9kc1TgiKdAJCQlk\nZWXR1dXFs88+i1qtJi8vj2eeeYbu7m5++MMfYrPZ2L17t9R7SUhIYGZmJmqKuGj+hEIhxsfHefPN\nN6XmeVNTE2q1ms9//vNUV1ezYsUKiouLefnll8nIyODYsWM899xzmM1mcnJypBLdYkM0J00mE/n5\n+eh0OgoKCnC5XLz11ls8+eSTrFixgscee4xXX32V3t5e/vqv/xq4WEgsFt6C8fHx6PV6eaBv3LiR\nvLw8wuEwjz32GJOTk7z66quoVCqpM2OxWGhtbSUcDsfUUkyU1oLBIG63m5SUFOLj49m9ezcZGRm8\n8cYblJaW8pnPfIb09HT+9V//lerqatavX092dnbUCZZokiYlJZGRkUFGRgYGg4HS0lJJj3/jjTeo\nr6+XxgNPP/00Op2Oq666SjY4P+mN77JJlYp/RI0vLi6OtWvXUlVVRXNzM8uWLWNhYYHW1la8Xi83\n33wzeXl5DA4OotPpYlb412g0GI1GVqxYgd/vJz4+njVr1shNurq6mvr6erKysujo6GB4eJjExEQC\ngQDT09NSS2GxEfnyhEIheRVLT0+XFNfMzEwcDoeUD21tbZVef2azmYSEBLRabdQvoegNCJ2QlJQU\nqYcwNTXFv/zLv0iqeFZWFsXFxSiVSulhJxpmsVDjE2gWcYvq7e1l/fr1VFVV8f7772O329m9eze7\nd+/GarXy+9//Xjr4iN8TTQh0gjA8FQenKGUIS6/R0VHZUA4GgyQmJlJdXc3w8DBms1nOyWIj0jgg\nGAwyNjbG6Ogo2dnZUtMkNTVViisVFxeT9z9WayMjI9IYONqatBhHZCPSYDDIhtj8/DwfffQRnZ2d\nLF26FK1Wy4cffsiaNWswGAz09/djsVikTvhiI/K5RqJFgsEgDQ0N2O12tmzZIg05GhoamJ6epqqq\nSpbkRD042vkQMqOi7+D1eklMTGRubo7MzEyuvvpqTp06JXtqXV1d/PSnP2XlypVcf/31BAIBqaL3\nib47qpH/H0PA2GZmZujv76evrw+9Xo/L5eLIkSNMT09jsVhoampicnISOP8gcnNz0ev1MdOlFZrF\nJpNJ2kEtW7YMv98v7YG6u7vZsWMHubm50gFFCNnEolsdKdwUDodpb2+no6NDmmdaLBbWr19PSkoK\niYmJdHd3c/bsWRISEqRWglarlU2qxYbomov5UKvVDA8Po9VqmZmZoa6ujry8PP7mb/6GdevWoVar\nSU9P5/jx4zQ2Nkr7rGhDZGxibgTip7CwkIKCAkZHRzly5Ajz8/OkpKQQCAR477338Hg8WCwWpqam\nLtIeX2xEolWEpVhRURF9fX3S+PTIkSPSQ7Cnp4eKigoSEhKw2+2o1Wr0en3UZTlxiIsrfENDA4OD\ng+zYsYOUlBQ6Ozv5/ve/L00i1q1bR3Z2NgMDAwwODsoacrQlBjEO4Qc6MzODx+PhzJkzvPLKKzz/\n/PMcOXIElUrFnXfeiV6vp7W1laVLl2KxWOR7DEQ1lshnGrkPWCwWhoaGOHfuHDk5OaxcuZLVq1cT\nCASoqamhq6uLwsJCqqqqSEpKkpr00YxDNCydTqfUGD937hzHjx9nfHyc8vJy0tPT2bFjBytXrqSi\nokJ6LFoslkUnVpdNqlQ0HgYGBsjJyaG7u5sf/OAHmM1mvvWtb3Hu3DmysrLYtWsXR48eZWpqSrqC\niMwgmnJHJKrD5/Nx+PBhmpqaUCgUnDlzBrfbzZ49e9i0aRN5eXmMjIyg1WoZHR3FbDYzMDCAz+eL\nukkWqSrm9/sJBALccccdtLe3s3//fj772c9KPeedO3eysLBAVVUVdXV12O12LBYLZrM5pjq9JpOJ\ngYEBZmZmJLYzJyeHe++9l3A4zNatW9m1axfj4+P88pe/ZMeOHZhMJrnBRntwCViVwBtv3rwZm83G\n6dOnqa+v55FHHmFycpK9e/fyuc99Dq1WyyOPPEJycjLvv/8+Fosl6nqjyBiVSiUWi4XVq1cTFxfH\n7373O1QqFcuXL2flypXMzMzw1ltvYbVaWbp0KWNjY5SUlDA9PR31xihCJAQTExM0NDSQn5/P9u3b\nycrK4p577sHv96PRaJidneVrX/saXq+Xa665Bp1Ox9zcXMwE7iOTE+Fz2dHRgdFo5J577mFmZobS\n0lJSUlLIzMxk69at9PT0sG/fPrKzs2MyF5G38Pn5eQYHB0lPT+crX/kKtbW1HD58mJ/+9KekpKTw\nuc99jry8PE6ePCmd3v1+P2fOnGFiYiJqu7m5uTlmZ2eZnp6mo6ND+pN+9NFHDAwMcOONN6LVavne\n976HUqnkoYce4kc/+hEffPABiYmJLCwsMDY29udZ7oALJ5HRaCQjI4NQKCTtbbxeL6dOneKZZ55h\ncHCQ06dPMzU1JSUYIXotWLFBiyylpaWFnp4eli5dytKlS6XjwtDQEK+//jplZWXyqmQ2myUMMNqG\nzKUok5UrV7J9+3b+9V//lZMnT5KdnU1hYSHT09M0NjaSkZFBQUEBb7zxBqOjo7JOGAlNisW8CLyn\nx+PBbrfj8XhwOBxMTk5iNpupqqpCr9ezY8cONm3adBGcMtqyiwgBe9PpdAwPD+N2uykrKyMtLY2j\nR4+yZ88eHnzwQcbGxtDpdNjt9oueR6yU35KSkrDb7TQ0NLBu3TqqqqqwWq1yXaamppKVlSWbpzfe\neCNTU1MMDAzEzNMPzj8TvV5PKBTiF7/4BSkpKdx9990MDg7S1NREc3MzCoWCrVu3XuRWI9ZpLELc\nJEUvSa/XU15ejlKp5Atf+ALvvPMOu3btwuPxoNfr6ejooLu7m8LCQnnwxiIEQszhcBAOh3G73eTk\n5LBq1Sp+97vfMTw8zIYNG1iyZAm5ubkcO3aMmZkZ0tLSpJlGLMYisOBOp5PVq1dz7bXXkpCQwMTE\nBDk5ORQUFMgykMPhkP+bMC0RN8VPEpe1Ji2cFYR4+A033MCSJUvYsGEDBoOBmpoaXnnlFVwuF1ar\nlaGhIaxWKwaDIeosJTKTDgaDfPDBB+Tn55OTk4PD4ZCQmsnJSSorKykuLqa9vZ309HTpLC4OjWiy\naTEGjUZDVlYWOTk50gR2+/btrF69mquvvprbb7+dG2+8kcrKSh5++GH6+/txOBysX78eo9EYE8gZ\nnPdt83q9UnZRo9Hg9/tJS0tj48aNZGZmsnbtWrq6uhgdHeXZZ5/l3LlzdHZ2olKppI/dYkNkr4DU\nbBa4VuEN99JLLzEwMMDDDz/MkSNH+PGPf8yOHTtwuVwXmdBGc2gJfLRerycjI6MJoXkAACAASURB\nVIP29nYCgQClpaWEw2F++9vfUl5eTnFxMSdPnuSGG27g9OnT1NTUsG7dOjo6OnA4HDGBZ4pSmNls\nZvfu3eh0Og4ePMj4+Di///3vqa2tZdu2bZSXl1NZWUlVVRUvvvgi+fn5qNXqi0oN0YTIpt1uN5/6\n1KdISUnhi1/8Ii+99BIZGRk89NBDVFRUMDs7S3V1NV1dXeTm5rJx40aSkpJQKpUEAoGo5ySSTxAf\nH4/dbmfnzp2sXLmSG2+8kZdeeomFhQUefvhh4uLi+PznP89vfvMb3nrrLb797W9fxJCNJsRBId4V\nt9tNQ0MDExMTtLe3U1dXx6ZNm/jmN79JY2MjRqORf/7nf5b2eF6vd1FjuGybtLga6/V6BgcHqamp\nYX5+Hp/Px1/8xV+wevVqDhw4QG1tLTt37iQQCNDb2ys7qNFmB5EEFuG8kpiYiN1u54MPPiA+Pp6H\nH36YjIwMysvLmZub49SpU4TDYYaGhtBoNDGp9UXCq5KTk2lubpbNVL1eT3t7OyaTiZtuugmj0Siv\nVOnp6RQUFFBUVITf75dMuFiE0OCdn5+nra2N/v5+4uLiCAQC5Ofn09bWxunTpykpKeHo0aPU1NSQ\nlpYm/yba74YLrLGRkRGMRiO7du2StebMzEzMZjOvvvoqH330EX19fYTDYWZnZzGbzRLREM2zidQj\nFuSU9PR0QqGQHNOXv/xl6urq+P73v89dd91FRkYGycnJjI6O4nA4YoZigPOHp1KpJCMjg4SEBB54\n4AE0Gg0TExMkJSVxzTXX8B//8R/Mz8/jcrk4ceIEiYmJJCcnx2wMcP65TE9P4/P5cDgcNDQ0YLVa\n2bp1qyScDQ0NYTabsVgsbNy4kbKyMnp7eyUaI9p5ibztCYNqgdQaHR3lvffeo7i4mKKiIkZHR9Fq\ntUxPT8vboCCrxWKTFvDX/Px8xsfHeffdd1m3bh1r1qzht7/9LbOzsxw6dIhwOMy6desoKytDp9NJ\nrPli5uKykVkEDVyk+6LRkpqayt69ezEajfz0pz8lOzubq666iiNHjjA4OEhRUZHM2GIVwsUiPz9f\nmovm5eWRnZ0t61eioy2YVmlpafLFicXLqNVqSUlJoaamhv7+fu655x7sdjvvvvsuOp2O66+/nsLC\nQtauXYtGo2Hbtm2sX79e4naF+Hm0IVAVAqfd2dmJ3W4nPj6egYEB7HY709PTkoT0+9//ns7OTnbt\n2iXp49GWogSzTkDeysvLqaiooLGxkcnJSQn7Gx4epqCggJSUFFauXElDQwNwIRuPxXMRjvApKSlU\nVlZehEgaHx+noaEBi8UibbRmZ2epq6ujv78fn8+HyWSKGkkgxqFWq6UR7/z8PFarFZfLhcvlorGx\nkQMHDpCXl4dOp5O3D6vVKg+8WNy0ZmdncblctLS0kJqaSklJCcuXL6ewsJAf/vCHshYr2IdZWVno\n9Xr6+/tjZswLF2Crubm5svzU1taGy+Xid7/7Hddddx1VVVX09fVhNpvJzs6Wh75wa4m2nySyaGFE\nW19fTzgc5sEHH6SkpISWlhYSEhJkArphwwbWr18v5SYEKe+TxmVzZgFk4V1oQoyNjfHmm2/S2tqK\nSqXi/vvvp6ioiBMnTvDyyy9z++23k5mZicvliln9VaVSYbVaWbZsGfHx8czNzXHVVVdRVVXFz372\nM86ePSuvkGVlZbL2ZbVacbvdTE1NRX1gCAGn9PR0+aLfe++9nDhxgtbWVlatWsWhQ4ck7O6NN94g\nNzeXlJQUOjo65BhiATsT+GSlUonT6eTaa69l9erVGI1GTpw4QTAYlDX5rq4uAAn5Eu7qscBJC30S\n4RZ+4MABTp48ydTUFHNzc1RXV/PjH/+Yzs5O2tvbycrKwufzYbfbZSYdLapCdO+7u7tpaGggNzcX\nrVaLz+djZGSEl19+mU2bNpGZmckbb7zB7Owsq1atoq6ujsnJSaxWq6RnRxvC4aOpqYmuri7i4+PJ\nz8+/6DC7/fbb2bt3L6mpqZw9e1Y2lIWORbSbtMDRu1wuDh48SEVFBV/4whdQq9WMjY1x8803S6KX\nmKPXXnsNv98vqfvx8fFRN3WVSqWkVPf399PS0sLw8DCVlZWUlpZy7NgxJiYmOHfuHF1dXRQXF/Pg\ngw/S3NxMT0+P/PtoQuh0zM3NMTExgVqt5tprr+W5557j7/7u7/B6vaSmpsoy3JkzZ2hvb8flcuHx\neBgeHpbCYJ/0sLis6I7Z2Vm6urrIysoiIyNDwt4KCgpYsmQJS5Ys4cyZM1RXV/NXf/VXbNy4MerG\n1MeF0McQbDuDwSAhWDt27CA9PR2NRsPY2BiBQECqWs3OzsbMJ00s5I0bN/Lhhx9y4MAB2YwwGo28\n9957GI1Gzp49S01NjWQhLiwsSI2TWDHbFAqFxJmOj49z5swZqaERCoUYGBhgYWEBg8HA+vXr5YKL\nFgYIF5ehRDlM+AguX76cpKQkgsEgSqWSuro6fv/73zM8PCwzJbVafZFh8WJD/P3s7Cwej4f33nsP\nq9UqE4epqSksFgsFBQX827/9G/X19ezevZuysjL8fj8JCQnyVhELUaFwOCzNePPz87n99tspKSlh\naGiIQ4cOYTKZZANtaGhIMmkFCy4WN0+Bo7darVgsFiwWCw6Hg9HRUQwGA08++SS1tbW8++67JCUl\nkZiYyNDQELOzs5KWHgvEiyA7GY1GVCoVZ8+elQiSjRs3SgLN0NCQJFiNjIxIKziB6Y8mImvaXq+X\nffv2UVVVhclkor29HZ1Ox+bNmyXcr6CggPj4eEZGRlhYOC8eF+lz+EnispU7RNYmrm+pqakEg0Fs\nNhsGg4He3l7eeecdUlJSWLNmDVVVVQQCAfnQozVgFS+w8EcTyI3U1FR6enr4wx/+wLXXXktFRQXf\n/e53SUxMxGq1kpGRgd1ul9fgWOhDhMNhHA4HgUCA1atXk52dzZtvvolOp6OoqIjm5mY8Hg+33nor\nHo+HZcuWEQwG6e7uvkhQKBYQPOFdKJyWbTYbbrcbrVbL1NQUR48epaSkhE2bNmE2mzl16hQWi0Wq\nFcYik46UalWpVExNTfGf//mfZGZmcvPNN8usvbm5GZ/PR1paGnFxcVgsFolKiVWpQ4xhxYoV9PX1\nsbCwwNKlS/F6vbS3tzM2NoZKpeKBBx5g48aN9PX1oVAoSE1NlZtSrG59MzMzElV08uRJjh8/Tm1t\nLUajEbPZTENDA36/H5vNRmZmJk6nk5mZmZgq8gmiU1lZGUuWLKGmpoYzZ86QlJTE448/ziuvvMKT\nTz5JWVkZdXV1vPPOOyQmJsrDMxY1aSEANj8/z+rVqykuLmblypWkp6czNjaGyWSioqJCModPnjxJ\nKBRCqVRiNBpjVqYUyUBOTg6HDh3iww8/5LHHHuOhhx7C5/PxxBNPoFKpuPfee1GpVExPT+NyuSSq\nQ2DYP+k4LhsET2zUousr6tMKhYK+vj6USiUrV64kNTUVq9XK4OCg5MWLv49V5jg3N8fU1BRKpZLK\nykqysrKwWCzk5uYyMjKCWq0mJSWF9PT0i3DakZ8R7VzAeWNTn8+HVqslPz8fl8tFV1cXExMT6HQ6\nAoGAJJGMj48DXLRBxwJyJhiDohHjdDpJS0uTEMSpqSmMRiOBQIC5uTnZOInlDSccDl/0WcJ81eFw\nUFNTw4YNG7jzzjuxWq0YjUZcLpdUIYtkoUUbkWQWkSjExcXR1tbG6OioPJxyc3MJhUJ0d3czMjIi\n1QvFRhCLeREZqEajQa1Wyz7J5s2b+d73vgdAXV0dBoMBrVaLyWSSKIpYbdBiThUKBZOTk5w8eZLW\n1lb0ej1lZWVotVo2bNiATqdjaGhIoqSEljJEb8oLF+rRfr+flpYWSa8+d+4cZ8+eZWZmhlAoRGtr\nK319fbK/JCRcY6UvE3nrXLlyJRMTExw8eJD6+nrJbdi4cSM2mw2Hw4HT6ZRlFkHE+bNtHMKFK4v4\nx2AwYLVayczMJBgMSqqpYCYGAoE/ypCi1XGODL/fz8TEBGfPnmV6elpeqVUqFaWlpRL6J8YQWRqI\nxWEhtBBE0ywpKQlASpYqlUpGR0flS/9x2OhYdc2F0JNOp8Pn8zEwMIDf78ftdjM+Pi6zW41GI29E\nsSJuXPpcRAYkSl3JyclSgErUx0OhkCzFiI55rA4sgf6Jj49Ho9FIEbCRkRHZAFpYOK8zHQgE5DxE\nfn8sNkmB/xYO6aL5BUh9G9E8FprjscKJXxrz8/OMj48zNzdHV1cXJpNJ4vj7+vowmUxYrVZpyhC5\nuccixPOdn5+XWHC1Wi3xyqIMo1QqSUtLkzTwWOD4Lx2HOIRycnJIT0+XSpQKhYKSkhKJsZ+ampLr\nQ/zdYuOyQvAiSw5iUxSoj5mZmT/6GxGx2Bg/bkw+n4/+/n75EDs7OwkGg2RnZ8vNUZx+l+rJRvO9\nkb9HNABVKhWpqamkpqZSWloqdTzEOGIhS/pxY4GLMwTR+BIKc8XFxajVaimnCkQtZvRx44gkG6lU\nKnJzc2X5YHp6mvb2dpRKJXNzcxiNxou0hCOfTTQhXiSxUYvnX1BQQEFBgSQkiO8UjcZIFmksSw2R\nOi/i5unxeHj55ZeZn5+noqICuCBrGuvezaVjUavVrF27Fjg/R0VFReTl5clNHCAhIeEiJ5tYRGQy\nEYmZNhgMVFZWAueTroyMDPlsxGEayzmJ3AuEpK0QTDIYDJjNZsLhMJ2dnRJjLg7xyHftk+5lilhv\nflfiSlyJK3ElYhdXjGivxJW4ElfizziubNJX4kpciSvxZxxXNukrcSWuxJX4M44/eePw7//+72XR\nWxTNRRMiLi5ONhFF4T0QCEjLLIEvFAI6wWCQp59+elHdochxiLHABWiMYGgJYW4hegQXQ8REDX+x\n4/iHf/iHP2oCCOy0gNcJ5b3JyUmJPElMTLyoMSYaV9/5zncWNY5vfOMbHzsOAeMSCArx3QJdIuYi\nsmGmUCh48sknYzaOyCagkMtUKBQkJyczPz8vHanFuohUwVvsOB577LGLxiE+UzTAIsk7Pp/vImTJ\npfAqhULBD37wg5itD7jA2hX4YyEJEB8fj1qtZm5uTnIJIjUiFrs+nnjiiYVLG7qA/B5AatAAkjSi\n0WhkMy3SEGKxz+U73/nOHz0XsU5FU06YiKSkpEiGpEBICc0M0VD8h3/4h0WN41vf+tYf7WORkM1w\nOCzfl+TkZMkqFGsXuGi9PPHEE//ncVxWj0O4uPst9A9SU1MpKirCarVKdpsgN8D5FzUS2hOLECB7\ng8GAwWDAaDRit9uZmJhgZGSE1NRUaVYrxh2LJuv/BgkSOORwOExSUhI6nY6enh7cbjfJyckUFxcT\nCASYmZmJGeQsMgRiQygOer1eRkdHAbDZbCQmJkoXivHxcfkSRitsdClyBi68/AK6JDzqkpKSpNmr\nYPmZTKaYIipEiJdLKPFlZGRIEfeenh5GRkYYHR3F6XRGjfj5/wqxVgSdWPhaikMqIyMDo9HI5OQk\nHo9HInBizdQVh1UkozE7O5ukpCT0ej2ARDeMj4/j8XhihrqJDLHWzGYzBoMBtVqNw+HAYrFQWlrK\nuXPnGB0dlYJlYrP8UwEk9Ho98/PzOJ1OWlpa8Pl8FBcXS0JPYmIiQFRkvMu6SYuNNy4ujrGxMQlG\nX7p0KSaTidHRUQ4ePMj09DQ33ngjGo1GMo2i9RX8uMWi1WrJy8uTNj8fffQRBw8eJBQKUV5eLvUk\nBItLq9XGRFxehNj4xSkMSNGpubk53nrrLWw2G1u2bOG2226jra2N6upqiZeNVtdaZMICDmkwGCgp\nKUGtVtPZ2SnVz6qqqqiqqiI/P5+RkRF6enpobm6OCaHmUkytwNOLjF44Mq9Zs4aioiLa2tpoaGhg\n1apVJCQkSP2VWL6E4pnMz8+j1+ul4P3ExAQOh4OZmRkGBgYYGxuTt0JhjhoL09XIgytyoxWEK51O\nx9mzZ3n77bcpLi5m+/btlJSUYLfbGRwcvOg9i0UITL/b7WZwcJC4uDjS0tK47777yM7O5he/+AV6\nvZ6CggKZRU9OTko4ZSxCHDoiWRPJRGdnJ3V1daxbt47R0VHcbjdut5uxsTGZXAAx09gW60w4l4vs\nXfAIVq5cSXx8PIFAgKVLl0pseTgcJj4+XnIvPkn8yTfpyJdYr9eTmZlJTk6OVIpat24dxcXFzM/P\nyyzRZrOxfft26urqaG1txWKxYDKZYkagmJ+fZ3JyEqPRSEdHB16vl3A4TEVFBXv27MFisdDR0UE4\nHMbr9dLU1EQgECAhIUFKWS42LjUNUCgUmEwmJiYmGB0dlaevRqPhySefxOFwMDAwwIsvvkh7e7vU\nwRau67GYC8E2FAaqb7/9NqdPn+bnP/85fr+fkydP8vLLL/OHP/yB/Px88vLyJKY6ckNdTETiRgVT\nTaPRsHz5cpxOJ4cPH5ZOJB9++KH0r/v5z39Od3c33/jGN2SWbTAYFj2OyPKG3+/n7NmzTE1NsXbt\nWlwuFx9++CGnT59my5Yt7Nq1i+7ubpRKJevXr6empoampiYyMzNJTU2NylbsUn7A+Pg4zc3NjIyM\ncN1119HY2EgoFOLuu++muroah8PBBx98QG1tLWlpaSxfvlySjWIhZSsw816vF5PJxN69e5mbm6O1\ntZUf//jHJCcnk5mZicfj4YMPPiAQCKDVai9iCkerPgcXxJ6Gh4dxOp1s2bIFnU5He3s7X/jCF6io\nqJDCSk8//TRr1qwhKyuLT3/60wwNDTE0NBRVoncpVltIKE9NTeFyufD7/dx0001cf/313HfffbS1\ntbF3715pUmuxWEhISJBlsk8Sf/JNOrJOJyzqc3Nz+fDDD0lNTSU5OZkf/vCHzM3N8Z3vfIf169cD\nMDk5ybFjx+SVWyjHLTbEJIuN1+Vyyav73Nwc6enpnDhxgurqaoaGhhgdHSU/P5+bb74Zi8UirzWR\nv2kxEckajI+Plw/bYDAQCAQYHR2lt7cXhULBl7/8ZYaHh3nttdc4evSoZJeJz4nFNTIUCuHz+SRr\nbWpqirq6Oubm5mhpaeG1115j+/btPPbYY2zbtk1mk8PDw1L+MRZONaImPzExgUqlorKyEqvVSnJy\nMlqtFqfTSV9fHwUFBdKLcmxsjPr6ejIyMtBqtSQkJCx6HJG3Gr/fz+DgIIDUL/b5fKxcuZKcnBw0\nGg3FxcUoFAqpVSzWp0ajiQkTVFCaBRX+pptuYvv27bz66qvk5eVJY4Krr76a4uJiaUwbWaOOVlNF\njCUuLo6KigrpYPTyyy/T1NTE8uXLsdls5OfnMzAwAIDb7UahUJCdnc309DRATMSexDqtr6/H4/Fw\nzz33MDExQXx8PCkpKfj9foqKigDo7e3F7/czMjKCw+GQQkuxuG2J28HCwnkJ25GREdLS0lCpVPzb\nv/0bdrudHTt2sGPHDrZt20Z1dTWJiYmsXLkSQN6+PklclkxaXNtGR0f593//d+Li4khISGDlypVo\nNBpuuOEG8v7HseX111/HZDJx/Phx6uvrefTRR2W5I5pJFg0V0YgqKCggNzeXnp4e8vLyyM/PlyYD\niYmJTE5OMjw8TGdnJ06nU15r/H5/VJuSuA6K8bS3t5OYmEh+fj7l5eXccccdHDt2jI6ODn7+858T\nFxdHcXExX//611Gr1TQ3N+NwOPB6vYtyHr50LH6/H5fLhc/no6CgQL70er2eoaEh0tPT6ejo4MiR\nI0xMTEi37vfff5/ExETy8vJiUpMOh8NMT08zPj7O2NgYfr+f4uJiNBoNO3fupKWlhbVr1/K5z32O\nb3zjG/zkJz+huLhYqq/FQiJUZJ8ejwePx0NGRgYNDQ1Sn3l6eprh4WFuuukmcnNzKSoq4u233yYc\nDrNkyRKMRiMLCwtRZ2zidpWVlcV1111HZmYmubm5zM3N4fF4uPnmm3nxxRdZtWoVe/fu5eDBg/zt\n3/4tPp+P119/XR5ssZBRUCgU6PV6kpOTCQQC/M3f/A33338/P/nJT7jjjjswGAy8//77KBQKrrvu\nOpnFx8fHS1OPWOmqxMXFyXk/duwYXV1dlJWVsXv3bm677TZefPFFXnrpJb71rW/xzDPP4Ha7OXfu\n3EW08mhClLPC4TB2u522tjYeeeQRtmzZwokTJ6TaXVNTE1arlXfeeYdXX32Vz3/+82RkZNDf3y9/\nyyeJy0YLF4u8qakJm83G1q1bpaSf1+uV5YXs7GzS09OlROPWrVtpa2vD4XDIpshiQ7wAGo2GxMRE\nDAYDTqdTypI6HA76+/vlhjwwMMDAwAAulwubzSZ/SzQhMsZwOMzMzAy1tbXk5ORgt9uZnZ2V4yot\nLWVkZETWsTweD7Ozs2g0GkKhUNSHlsgcBbIlMzOTxMREvF4v09PTDAwMUFZWxvr16/n+97/PuXPn\nCAaD1NTUsHTpUnQ6HWazGbVaHdXiF00/oVORkpJCXFwciYmJmM1mjh07xs6dO9Hr9czMzEjVs/z8\nfDIzM1m1apVEFUQT4uAVtXnx+UJEPz8/n8rKSmZmZoiLi+Pw4cPMzMzIF1eUjKLVaYALaJ+5uTmG\nhoY4fPiwNDtQq9W0tbXR09PDF7/4RQYGBnj++ef5zne+g9PpZHp6Gr1eH3PHcKfTicvlYsWKFXzm\nM59hcHCQsbExHn30UVpaWsjNzSUhIYETJ05I93mRvUZ784QLpbCCggJSU1P51a9+xUMPPcSmTZt4\n5ZVXWL58Of/93/8t3cOLioqYmJiQNm/Rlksjb+JiPAD79u2js7NTHkZ9fX1SmXFqaordu3eTm5tL\nc3OzXCOfNC67ES1AQUEBHR0dOJ1OAN588026u7v57ne/y9atW0lMTESr1WIwGKSgeSw66JGLJhgM\nMjExQVdXF+Pj4wSDQdxuN4FAgJycHKleJWxyBMwqWpSHkOUUug8OhwObzYbP58Pj8TA4OMiKFSuY\nnJwkFAphMpno7e2VMp3btm3D5/NFfWCJ36JQKDAajSQlJeF2uzl8+LC8ylVWVlJSUoLVauW+++5D\no9Hw+uuvMz8/T0pKiqwfRzsOuFDOWrFiBdPT02zatInGxkbeeecdnnvuOdxuNz09PfT09KBWqykr\nK5OddHGARRPiGqtSqTAajWRnZ5OXl4fRaGRwcFAKCgld6/fff5+qqirpezk7O4tWq12U0eilsbCw\nIEtbIyMj1NTUYLPZ0Ov12Gw2Ghsbyc7Oxmw28x//8R/09/czOjpKT08PFotFOhlFe1iIQ8fv90so\n7PLly7Hb7bzwwgvcdtttFBQUsG/fPtLT06X5gcFgYHp6Wm5k0by3wkFeaFsXFBQwOTmJWq1mzZo1\n+Hw+li1bhlKp5OWXX2b37t1kZGRw+vRpdDodo6Oj0tQimnJp5N4hJFBzc3N57bXXKCsr47bbbiMj\nI4Ph4WGuv/56AoEA8fHxFBUV0dHRIZ/ZYt6Xy6YnDedfyJtvvpnbb7+dq6++mg0bNvC5z32O4uJi\nbrzxRpqbm2ltbaWwsJDm5mZuuukmKWwTK3SHqCcFAgE0Gg1/8Rd/ITebwsJCHA6HzKiTkpIoLy+X\niAYhuhPNohOLTXSpb7zxRjZv3ozH45Hi/qdOncLr9bJp0ybGx8fJy8tj3759tLW1UVhYiF6vj0nd\nU1xLxdX63Xff5ZZbbuGqq67in/7pnzh06BBHjx5lbGyMr371q7S0tLBlyxZKS0uZmJiQ+NBYZCgL\nCwukp6ejVCo5ffo0X//61zl8+DAlJSUYjUbcbjfp6enU1tbi8/n42c9+xuDgIF/5ylcYHx+nt7c3\n6jkRm5JKpcJms7F69Wr6+vro6upi3759ZGZm8uijj5KVlcWXvvQlSktLeeGFF6TDDiCby4uNyMxT\nYJI///nPk52dTSgUYtmyZTQ1NTE2NsY3v/lN1q1bR3NzMw8//DC5ubmsWbNG9lmiDbVaLaFjWVlZ\nLCwsUF9fz69//WtKSkooLi7mzjvv5JZbbqGuro7q6mpeeOEFDh8+TFdXF4mJiTE5LIQSZVxcHD09\nPXR2dmKxWGSN/MSJEzz77LP84Q9/oKKigs9+9rOYTCZWrFghezdarTbq+YAL/YLCwkJuvfVW8vLy\npMTvRx99xNVXX83p06c5d+4c6enp9PT0cOrUKebn57FYLCQnJ3/i9XHZGoeiYZaQkCDraldddRXJ\nycnSMfvtt98mPT2diooKXnrpJXJycli2bBkej+ciUHg0Ia7W8/PzGAwGEhISJHTp6NGj0iG6t7eX\n9vZ2gsGgfPFiiTsVmWNeXp7UI166dCkqlYoTJ06g0+k4cuQI586d4y//8i955JFHePXVVwmHw/h8\nPvlbog21Wo3JZCIxMZHs7GyKiopITk5mzZo1rFq1ipaWFo4dO8aPfvQjampqeOCBB+T4tVptzGBe\n4sAYHBykv78fj8eDwWAgMzOT9957j7m5OfLz8zlx4oTEtIt5EnKesVJeW1hYID4+Hq1Wi1arpby8\nnGXLlrFnzx42btzIb37zGwAGBwdlQ3xqakomALGqwfr9fvLy8rDZbPzXf/0Xfr+ftWvXsmTJEiYn\nJ3E4HKSnp0tDiA0bNpCcnMzk5GTMDJNFiDp9cnIyRUVFZGdns3//fpYtW8ajjz7K448/jlKpZGZm\nhvHxcdRqtewTxPK9GRwcxGg0sm3bNrq7u7HZbASDQRobG/nwww85d+4cWq2Wbdu2MTs7Kz0nY+HM\nAhduoD6fD5VKxbp167Db7dTV1WGxWCQJrri4mNHRUWZnZ7HZbDIpXMw6vayZdGJiIsePH+fkyZPc\neuutsqYl3HaLi4vZuHEj11xzDXfeeSc+n4+33noLn8+H2WyOCqMc2cBUKpXMzs5SW1uLSqWipKSE\nW265hba2NkZGRtDpdJSUlNDT00NtbS0WiwWtVivhZtFAzkQNVq1Wk5qais1m45e//CVer5e9e/fK\nB1haWkphYSFzc3M8++yzfOMb32Djxo0cPnxYZr/RQt/EXOj1ekwmE1VVBO1lXwAAIABJREFUVXzv\ne9+T9dYXX3yRkZERvva1r2EwGFi6dCk+n499+/ZRUVFBQkICfr8/Jm41arVa9izUajVNTU0kJCSQ\nmZnJW2+9RUJCAi6XizfffJNbbrmFxx57DJPJJA1Xoy0ziGtsMBjE5/NhsVjweDz86le/As47lNTU\n1JCbm4vT6cRqtZKWlsatt94qN0y9Xh+TDVrYq01NTUlfzfj4eIxGI0NDQzidTnbs2CFRP11dXdx+\n++3s2rVLOsWo1eqoUBXifVGpVOj1empqagiHw1x99dWMjo6yb98+2SuorKzkqquuYu/evTz88MOU\nl5ezadMmCcO7VIb4k4aQrE1KSuLUqVP4fD4KCwtJTk5mcHCQt99+m8cee4yBgQEOHz7MDTfcQH9/\nP6FQiLVr1zI1NRX1GODCRu12u/n1r3/Nq6++ytGjR8nKymLXrl3s3r2bhoYGysvLKSkpkQd3SkoK\nbW1t+P1+ZmdnP3HD/7LVpMXJKsD22dnZxMfHk5yczBe+8AXi4+Opqqqiv7+f73//+5SUlDAyMkJj\nY6M8DaMxk4yEFIkF7PV60el0FBcXU1lZSU9PDwqFQmIZy8vL6enpweFwkJaWhkajWZQebGRE1rXj\n4uLweDzodDrKy8vJyMigubkZOC/svm3bNh544AGGhoY4fvw4RUVF0ppe3AiimQ+R4QiXC41Gw65d\nuygvL5e2WsIdO9Igtq2tjfLycoCYZUnhcFj6wW3YsEGaQ6xdu5aPPvqIpqYmtm7dSlFRES6XC71e\nT0lJidxUow1xaAlLMXEY22w20tLSKCwsJDc3l7Vr13Lo0CF5wDY1NdHb2ysdVETPIdoQvIHDhw9j\ntVp58MEH0Wg01NfXX+Q/uWLFCpYuXUpTUxMOh4Pe3l6mp6ej9p8UmbSQS/B4PGg0Gtm8LSgo4P77\n7+cf//EfmZ+f58Ybb8RsNkv7O2FQK35LNCHGId7/7u5uenp60Ov1qNVq0tLSyMnJoa+vj7i4OKan\npzl48CCVlZUUFhbKUlS0YxAJlrDgy8zMZPXq1eh0OqxWKy0tLbjdbk6ePElPTw9ms1nS5PV6PXNz\nc4uai8u2SQtERXx8PD6fT16L4Dyu8cCBA5SVlXH06FGqq6v5yU9+Iu2JhOtErOqwcXFxmEwmkpOT\nGR0dZf/+/Rw4cIDW1lZ0Oh2pqanyKpOSksLExIQ0Gg0GgzHBWwoTUYBVq1axfft2yXJbsmQJ+/fv\nl5C366+/noGBgYv0RmLF5BKL5uTJk6hUKh588EHy8vJoa2tjfn5e+hoKEoXf75d1NVGjjzZEo2xi\nYkK69dTX19PT08PatWsZHR2ltbWVrKwsioqKcDqd1NbWyjmMRf1VjEP8RqFFMTs7y+DgIBqNRl5b\nAaxWK3FxcdTV1eH3+0lLS5N6NLGak1AoxNjYGHNzcyiVSikdUFlZydzcHFlZWeTl5WEwGBgYGKCn\np4fp6WkUCgUJCQmSrr2YiFxrer1eEooaGxupqalh2bJlnDx5kt7eXr71rW9hNptpbGxky5YtLFmy\nhO7ubuk8FIu5EFl9fn6+dLUX0gWtra0cOHBAWs0J957U1FSJlBGfE80YIm/jW7du5ZZbbuH48eO0\ntLRIKnx5eTmHDh2is7OTzMxMRkdHWbJkCaWlpfh8PmlW8Unism3SZrOZwsJCvvSlL+H3++no6KC5\nuZmsrCyee+45Ojo6+MEPfkBbWxvBYJAlS5YwPDzMihUrSElJiYkziZhgr9dLfn4+u3fvpr6+nr6+\nPjIyMti+fTszMzMcOnRIvpxOp5Pi4mKysrKYnp6WTt2LDbFoXC4Xk5OTqFQq1q5dy+OPP05jYyO3\n3XYbDzzwAE6nk/fff5+WlhaMRiM7d+7E6XQyMDAgMajR1tkim5h2u53JyUlef/113n33Xbq7u3nn\nnXdQq9X09PQwPj6OVqtl9+7djI2NMTQ0FDNCzdzcHMFgUGZraWlpPPXUUyQlJXHXXXexZs0akpKS\nOH36NNdccw0ej4d9+/bJ7n4srrJwYWMKhUKyHyFucaJpdvToUcbHx7Hb7VgsFkpKSuSaEnXgaJ+L\nsCjLzMzk29/+NikpKezbtw+v18vmzZsZGxujpaWFiooK/v3f/x2PxyPJNaIsF4tnIwTOUlNTsdvt\nJCQksGzZMuLj4+ns7OSBBx7glltu4eWXX+bQoUPs3bsXk8nE17/+dYmhF5IL0YSAtDmdTu6++26u\nueYaXnzxRdRqNQUFBXR2dnLNNddIk2C1Ws1tt91GQkICg4ODMpOOBTRSp9NRWlqK2WzmjTfeoL6+\nHpvNxvj4OOnp6eTn57NmzRrWrVtHZmYmjzzyCH19fbJxGR8f/+fXOIQLmZLL5aK4uBi/38/+/ftJ\nT09nzZo18gQ8d+4cw8PD8tQxGAxkZGTEtCED57NHQQe32+0YDAZWr15NIBBgYGAAo9GI3++nr68P\njUaD0WiUhIZoIxJHOzc3x9jYGCMjIwwNDeH1epmfn+fMmTMolUrq6+vR6/VUVVWRm5uLz+dDp9PF\nLIuOHM+qVasIh8Ncd911qFQqzp49i9frpbm5mR07dkhijyDSiHJLtLVPOP/yaLVakpKSJAV506ZN\n6PV6mWEHAgFOnjzJ2rVrsVgsZGdno9Vqpb5IrMxfRUPXbrczPz/PTTfdxDXXXENWVhZ+v5+Ghgbe\neOMNMjIyyMjIoKurS17rBYEkFtd7OG/IW1lZSVlZGa2trTidTgwGA/X19fKAGBwcpLS0lK1btzI2\nNsaZM2cusn1bbIjsVRDJ4uLimJycJCUlhVtvvRWHw8Fvf/tbwuEwPT093HHHHXz2s5/lvvvuo7Gx\nkWuvvTaqOYgM0SsQAmgmk4kjR46QnZ3NqlWr+MxnPkN+fj73338/xcXFlJSU4PP5GBsbIxgMotVq\nYyIpIcouFosFv9/Pvn37yMjIYM+ePRgMBr75zW9KHL9Q31u6dCmhUEhqzCymHHbZGocej0eK44yP\nj9PS0kJZWRkOh4Pjx48zMzPDM888Q3p6OsnJyZw5c4a5uTn0er2EAcVCzEepVGK1WmXmptfrUSqV\nvPjii9TW1rJnzx5uuOEGamtr6enpISUlRUJsBBElFuOwWq2YTCZ8Ph/Jycn85je/oampiePHjzMw\nMMBnPvMZNBoNXV1deL1ezp07J73UhHdaLMou09PTzM7OEggEmJ6e5r333kOv17NmzRruvvtuFhYW\n2LlzJx988AGHDx9mx44d2Gw2tFptTERrxDOZn5/HarWiUqk4ffo0mZmZBAIBXnvtNTZs2MDc3BwN\nDQ34/X4MBgM5OTkEg0GcTmfMDq2FhQXp3C5Ero4ePcovfvELOjs7WbduHeFwmMzMTGZnZ+nt7eXE\niRPExcWRnp4OEJOxiNq4y+Xi2WefJRgMkpGRQVlZGQsLC5jNZu655x5Onz5NXFwcNpsNt9stExtB\nloomxBr3+/04HA5yc3OZnJzkhz/8IZmZmUxPT0udjl27djE7O8vvfvc7ALZt20ZFRUXMfDlFMjAz\nM8N//dd/oVQq+cpXvsKGDRuYmZnh+eef54477mDPnj3YbDbi4uKktILFYomZSqFCocDv9zM+Po7F\nYmHlypU4HA4mJiaYmJigpKSEiooKfvzjH3P8+HE2btwooZNirhaTbF5WMoug/gYCAW655RY+9alP\nUVFRQWpqKoFAAL1ej9PpxOv14vF4/mhzjnZTEhMkTtfU1FT27NlDRkYGZ8+e5de//jUVFRUMDQ0x\nMzODVquVGtOR5I9oIpK5pNFo5FW6vb2dmpoaPvroI5YtW0Z2drbMymZmZpiZmZE1T7FBx+rQEmSM\noaEh3nzzTSorK/mrv/ornn76aTwej8S62mw2mclfqhe82IiEaAIYDAZmZ2elQ3p6eroUFjpw4AAW\ni4XMzExJlBDX+lhJyYrPsNlsmM1mTCYT2dnZZGZmUlRURCgUQqvVyo0wNTVVlo1iLVcqns3Y2Bgr\nVqzguuuuIzs7m46ODt5//32OHDkis7PIhrfI1GL1bEKhkOQRbNq0STpi/+pXv6K6uppAIEBaWprU\nqBC6I7HaHMVYRGIQCoUksqi+vp78/Hx27tzJ9PQ0drsdhUKB2WyW7OJYqgGKORYG1gMDAzz11FME\ng0EeeughbDabRP6YzWapMgkXdKc/aVxWt/BI7KROp6Ojo4Ompiaqq6sxmUykpaXh8/mkYHcsmoUf\nNxY4nyGEQiFqa2sJhUKcOnWKhoYGPB4PSUlJsmECF8D0sfp+sWgiSQvj4+MsLCxQVFSETqejr69P\n6ihHZu+R9fBYHVqAVJET8KHCwkL6+/tJSEjA6XSSnJwsm1QiYvUCRl7NBTNMoBOMRiONjY2cPHlS\nZjKCji0ayrHalMTnhEIhWdIR/11+fr4UDRK6zYKgECsMf2TExcWh1+vJyckhJSWF3NxcZmZmaG1t\nlUlDUlISCoVCinMJOKKYy1gILIkQdf+SkhKysrJkYjU8PExvb6/UdxZIm1go30WGKK8JlIRQhzx6\n9CgWi4VXX32V7u5uPB4PWq0Wk8kUNdHq40Ikm8JkYMeOHYyNjTE9PY1Op8Pr9bJkyRISEhLQarXy\nmQCLvt1ctnKHqHHp9Xr0ej3T09O0t7ezsLCA1WpFoVAwNTUVU+TC/18Eg0Hq6+uloPqqVavkQ43U\njo71QREZgs+vUCjIzMwkMzOTsbExRkdHMRqNlJWVycw5coOOFdpFhIC8Ca3vd999V+pFC8p0cXHx\nRVb2sYrI3yHGJJAjs7OzTE5OsrCwwJIlS1CpVBehOSK77rEK8b3i4BQxODgoWYmRdfhYb9CRv8do\nNGI0Gunt7ZVKc0JSViirxcXFyX5GLM0PLtWr8Hq9vP/++7z33nvyewFZphLZLlycAMTy2QiCkdPp\nZGFhgaqqKhYWFjh37pzU/44Uh4pVXPpZkW48+fn5APT19bGwsEBKSgpKpRKPxwMsPoOW3/2n3ICu\nxJW4ElfiSkQXV4xor8SVuBJX4s84rmzSV+JKXIkr8Wccf/Li76OPPnpRPSWyqSEkO2dnZzEYDJhM\nJrxeL7Ozs+h0uotqS+LvfvSjH8XEdThyPIJgIvCNQgR/YWFB1v/i4uJkLVShWLzr8OOPP/5H4xCa\nvZHO5W63W1LhFxYWpOOFRqORzSylUslTTz0VU9dypVIpv1etVuN0Ojl79izhcBiz2SznQzTt4Pwc\nLtaV+ktf+tIfrY9QKCRp2QqFArfbTSgUkk1Ln8+HWq2+qP4J55/Rc889t6hxPP300x+7ToUrukaj\nkRouSqVSun58nIaKUqnk7//+7xc1jm9+85sLl9Y/I1lzQko1Pj6eyclJOb5IKGOkee0//uM/Lmoc\n3/72tz/2fRGmFQJPrlAosNvtwPn6eeS6iPwdn8QdOzL++q//+n+txwrNbMHBEO+QwWCQTkqRdfpw\nOMwvf/nLRY3j2Wef/V/HIfxPNRoNHo9Hag1ptVqJ4Y9EIKlUKr761a/+n8fxJ8+kL615i+4onP9x\nbrebYDCI0WiUEpx+v5+JiQnpPQgXBPtjFeIBik1BwPKEvkhHRwdTU1NSbDyWZBoRAp4jYH6RDbG4\nuDjy8/MpKSkhMTERt9stEQWRcpaLjUsB9eKAsFqt5ObmUlZWhkKhoKenh7fffpuGhgaGhoakbnMs\nrMQiQ/wmgZQwGAzodDqUSqVkegp7Ko/HI1l5/9vviWYc4vOCwaAUOVIqleTn51NRUYHP5+PkyZNU\nV1fj9/slw0/MYSxD6LQIxcaEhATKysooKSnBbDZLcSyTySS1ZaIlsnzcGMTnwgWquMD5Dw8P43K5\nJLFIQCjF38YiIrV34Dx6JCkpibz/cQYS3IHU1FQqKiooLS2VCUXkwbXYuLQJGpnQCJs3hULBwMAA\ng4ODhMNheaALRNdi18effJOOfEgie1ar1SQnJ5OUlERycjIbNmyQVlrl5eWsXbuWEydOUFdXJymd\n0SI+IicncnMUm7DFYmHbtm2sWrWKpqYmmpqa6OrqIikpCZPJJFX4Yok8Ee4sghmVnZ3Nli1b0Ov1\nOBwOMjIyCIVCtLW1MTg4KBmH8fHxUbuWi/mIFBXy+/2YTCbJpvP7/Zw5cwaVSiXlOoXIjoAwxgri\nJBaySqVCp9Nhs9mw2WwolUp6e3uxWCzs3LkTn89He3s7GzZsYP369TJ7i3UIpmNrayvDw8NMTU0R\nCARIT0+nsbGRgwcPMjQ0RGVlJfn5+RfpOsQyhOJhUlKSdOH2eDx0dnZSU1NDR0cHw8PD+P1+3G63\nvInGCs8v1on4d6fT+f/YO9PwqMuz7f9msk4ymcwkk0z2jQAhkAAhCTsCQgAFBDcEtz5qrbivb6ut\nW9VW+6A+Lq3W5bG2otYVFBeCQgSUhC0JJGSF7OtMMpPMlkkmmfcDx3070L7H8ZqZcviB8wtHD5vM\nnXvu//W/7us6r/Okvb1dPpdNTU2oVCqysrKIjo7GZDLJCTt/uMkLiJe4sHsbHh6Wt8qenh5sNhsl\nJSVUV1eTlpZGQUGBdPMRyY2vn++Ns1loarWarq4u+vr6iIiIkDctYXnmfVP+qTinPGlhY6PT6XC5\nXLS0tNDe3s69995LRUUFzz//PH/6059YtWoVR48eZXh4mOzsbIaGhnxWsvL+ksbGxsjMzGTOnDl0\ndXXxwQcf4HQ6pevHH//4R9LS0jh06BAHDx4kPj5eiiGdncH5ApvNRlNTE6GhoVx44YUkJycDUFdX\nh06no7m5mW+++YaYmBhWr15NW1sbs2fPlqR9s9k87s/2vhJbLBbKysqkxVlxcTE2m40lS5bwwAMP\nMDQ0JMWuBF1Rp9PJMo2vEqEiU3O5XJjNZjwej3QeSUxMpL29nVOnTvHNN98QFxfHxIkTCQwMZOnS\npXz66adyVFhYnPmyDsHHFbeaJ598ksLCQj755BPuuece7rnnHpYuXcqCBQvQ6/V0dXVx5MgRampq\n0Ov1GAwGkpKSxr2Os5MaoX3x4osvStMFMZWZn59PU1MTDQ0N5OXlUVFRIVX7fD2j3jcKccPq6+vj\nxIkTZGVlMXXqVMxmM0lJSWg0GtLT0xkYGKCvr49Zs2ahUChoa2vzWVfF+3sB6O7uxmg0MmfOHHp7\ne6moqCAvL4+ZM2cSFBREZ2endKsJCwtj7ty5Z3CVxwvvTFqhUMhJ6DfeeINFixaxceNGtm/fzvXX\nX09wcDA//PADmZmZdHR00NLSIm3exvMiP2cTh+KBDgkJweVy0d3dTXV1NVarFY1GQ3JyMpdffjkK\nhYJ33nmHxMREaSMlOKn+kggFpILYrl27CAwMZNWqVTQ1NaFUKvn+++9xu92YzWZOnTpFeHg49fX1\n6HQ6yQn1FeL6k5ubi16vZ+vWrdJ5Iz09ncjISA4fPszRo0elZda+ffvIycmRurS+HDzvLEdM9+Xk\n5DB//nwOHjxIXFwcERERHDp0iOrqagYHB4mMjGT+/PmkpKTIMXIhmTleeHNxnU4nR48elZnH5MmT\nKSwsJCEhgf7+fnbt2sWtt97KqlWr2Lx5s9RyGBgYICQkxC8OMcIvMSEhATg9eWi1WqmtreXPf/4z\nOTk5/Pd//7fkb9vtdtxuN7m5uYSHh8vR3/HCm/ft8Xiw2WwEBweTkpJCfn4+a9as4d1336WtrY1F\nixbJEoPguGdmZqLRaKQUry8QV/qIiAgmTpwotXRUKhU//PADSUlJ5Ofns2PHDg4fPiylYy0WCzqd\nTvpw+pJNizWI71ZYYU2aNElKAnR3d/Pcc8+h1WpZv349aWlpvPLKKyQnJ5OTk0NbW5u8CY0X4jsd\nGRmRzixarZbS0lKWLl3KtGnTpPfm66+/jkqlkvrver0et9s97hfnOQnS3oLsISEhOJ1OrrrqKrmZ\nTz75JGNjY6SnpzM6OkpZWRlZWVnU1tbS3t4uVd98yQ5EjXFwcBCTyUR9fT1//etfyc/PZ/PmzXz8\n8cdotVpuv/12CgsLUSqVFBQU8MwzzxAcHMz69euZPHkyMTExPl/hhBvKpEmTuO6662hoaKCrq4vC\nwkICAgI4cOAAJ06c4IYbbmDt2rWcOnWKEydOMDAwQElJCbGxsYBvql4iQ1IoTjuLLFy4kKlTp/La\na6+h0+mYNWsWH330EYsXL+aiiy4iICAAvV7Ptm3bpAKeuFX4sg6xBuH0sm7dOpxOp5TBbG9vJzU1\nlTvuuIPXX3+d999/n7vuuouoqCg0Gg3Lli2jurraLy9OURMXI807duxg+/btLF68GKVSSWNjI3/8\n4x/5+9//TkdHB/X19RQUFFBcXMwdd9whvexEI80XDA0NMTAwQEtLC5MnT2bp0qVUV1fz0ksvsWHD\nBjweD6dOnSI5OZnp06fjdDqJjo4mNzcXo9FIf3+/z1d874bYsWPH6O7u5sYbb6S4uJgDBw4we/Zs\nvv32W6ZPn05HRwf5+fns3buXsrIyYmJiMBqN6HQ6IiMjx70G7zKYcGNvb2/nhx9+QK1WM2PGDHmD\nmjt3Lq+++ipWq5WLL76YgYEBGhoasFgsUjtjvBA3RrfbTX9/PyaTicDAQI4cOYLBYMBoNLJ48WIM\nBgMjIyM8+uijVFZWUldXx4033sh9993HxIkTSUxMJCIi4id99jmzz4LTwdpqtdLT08OcOXOwWCxE\nRkYyd+5cKZgdFBQkzU+3bt3KtGnTCA0N9dloFH6sv7rdbqxWK2NjY+Tl5VFeXs7777/Pzp07sdls\n6HQ64uLiqK+vx+l0EhUVhdPplG91XyG69QqFAqPRSFlZGXl5eZhMJoqLi5kxYwYqlUrqNhQXF1NU\nVIROp5PXR19F/8V+uN1uXC4XLpeLvXv3YjKZKCgoYGhoiBkzZpCUlMTTTz9NTEwM6enp9Pb2yiwv\nIiICtVrt0wiwCNJCXWzixIm43W7a2trOEK9JSEhgZGSEY8eO8c0335Cfn8+kSZNoampCr9f7RVNa\nlF2E3Gd8fDwXX3wxUVFRtLW1YTKZiIqKwmKx8NJLL1FfX8+NN97Itm3buPTSS+no6MBisfhNzEdk\nok6nk7q6Onp6ekhISCAyMpL333+fjIwM4uLiMJvNmM1mmcW6XC6/KDbC6dp8T08PpaWleDweNm/e\nTGhoKPn5+Wzfvp2GhgbWrl1LWVkZpaWl9PX1Scf34OBgn3snAoIhMTQ0JBM34cA9a9YsTCYTTU1N\ntLW1SVGl3t5ewsPDsdvtPo+pi3H7sbExzGYzNTU1REVFkZ6eTnp6OlqtVipFrly5kqioKCorK7n8\n8stRqVRS53s8Z+OcNA5FFq1UKmlvb6esrIza2lp6e3vJz89nZGSEqqoqjEYj+/fvZ2RkhI6ODo4f\nP05CQgJardZvfn6iSThr1iyWLVsmHUguv/xyWltb+f3vf8+cOXPQaDR8/PHH7N27lyNHjshA4o8H\nUKhi9ff3s3//fnbu3El/fz///Oc/aWxslEL327Zt45NPPqG0tJRZs2aRnp4um57+EpcHpDdde3s7\nd999NxdffDE6nY4lS5YwOjqKVquloKCApKQk5s+fT2Zm5hlOJL5AHH7vB6C/vx+DwUBWVhYajYaa\nmhpqamqIiYkhNjaWsbExBgcHOXHiBKOjo6jV6jMom+OFd5MsPj6eBQsWMG/ePBobG6mtrSUzMxOt\nVss//vEPPvjgA2prazl8+DCHDh2itbUVq9XqN21rwRwQsphRUVEsXLiQxYsXU1VVRX9/PwsWLGBs\nbIwTJ04QFRVFSEgIdrv9DBqcLxDj7wMDAzQ1NTE2NkZdXR1Op5O5c+fS29vLnDlzsNlsUkpVq9Uy\nZcoUdDodwcHBflmLSPQELVOv1zNjxgxpQWe1WgkICGDixIncdNNN3HfffVgsFkZGRmT5ytf4Ieh+\nHs9pE2shQ7py5UqmTZuGWq1Gq9UyNjZGcHAwtbW1BAUFceGFF8pSqSjV/OTP9mnlPwEiyAm7+Ycf\nflgqu+3du1cGgV//+te0tbVRUFDA/PnzmT17Nt3d3XLTfYHQLVar1dx0001YrVZuvfVW/uu//otF\nixaxfv16Lr30UhYsWMDg4CAbN25EpVJRUVFBbGysz76CAiKjHxkZ4fPPP8dutzN//nxOnjzJhAkT\n2Lt3L8HBwdx6660cOHCA3NxcXnrpJTo7O5kzZ45fLJrEoQ0MDJRqfEVFRVInOCAggJaWFoxGI2+/\n/TYlJSV8//33XH311dTX19Pf309YWBjBwcE+1aTPVhZ77bXXSE5OJjk5mby8PDIyMnA6nVJ8vqio\niJSUFF588UVKSkr4xS9+QWRkpLwR+ALRsxANMIfDwZEjR9i1axfLly+nsrISp9PJc889x+rVqxkY\nGMBisUgtCYvF4tPnw4+1cYVCQWxsLPHx8Rw4cICrrrqKvXv38tBDD/Huu+8yc+ZMdu3ahcvlIjk5\nmTVr1vA///M/hIaGotVqpd6JL+sQiYBSqWTFihVMnTqVO+64g7y8PObMmUNkZCQqlYovv/ySF198\nkdTUVLZs2UJ0dDQNDQ0yc/R1HUIvBU4Lgc2bN0+aJmdnZ7Nv3z6cTie7d++W5rSjo6PMnTuXyMhI\nWltbfTqjcObN1eVySfPh/fv3097ejkqlIiUlBbPZTGtrq5wzuPHGG6mtrWXFihXExsZit9t/8n6c\nc6nS6dOnk5qaikqloq+vj56eHsxmM7Nnz0ahUJCcnMzEiRNJSUkhIiKClJQU2TzxxxVOcE5FXSkk\nJIT6+nqampp4+eWXycrKYuXKlVxxxRVcc8010vdQr9fLa7A/1iGCbGRkJBqNBo/Hg9Fo5MiRIyxb\ntozVq1fz7rvv4vGcdq5uamqip6eHRYsWyeaUP92xY2NjCQkJ4S9/+Qvh4eFs2LCB0tJSBgcHeffd\nd/noo4+w2WwkJyfT3d2NVquVKoG+PgBwej96e3uxWCwsWrSI2tpaTp48yezZs6XKm9VqZe/evaxY\nsYLly5dTU1NDaGgoGo0Gh8Phc6NM7KnD4aC2tpaamhrmzp3LrbcUkv/uAAAgAElEQVTeyoQJE3j6\n6adpb2/n9ddf5/PPP8dms3HvvfeyYMECXC4XNpvNb3x6UYdVKBT09/fjdrsxGo1Sy3vnzp3Mnz8f\nl8vF999/T19fH0ajURrW+nrr8x4QEg3DuLg4Jk+eLE0REhIS0Gg0Us/6448/BqC1tRWz2Ux4eLhf\nVehEI7Wzs5PBwUEqKysZGBjg4osvJjg4mK+++koybFQqFcnJyQQFBckGrz8gejFms5nPPvsMs9ks\ndaO7urrk/xa1c6vVSm5urrx9ilv0T8E5GQsX11mTySRNI+vr6zGbzdKS/m9/+xvHjh1j9erVFBQU\ncOTIEemDKK4zvsJ7mu7ll1/m+PHj/OY3v6G9vZ2tW7fS3d3NH/7wB9566y2uvPJKbr75Zt5++23c\nbjdLliwhIyPjDKnO8ULUYQ0GA4sWLWJwcJCmpiYSExNRq9U88MAD0q18/vz5xMfH88QTT3D//feT\nnp7uNzsxAW8H9cmTJ3Pvvfcyc+ZMWltbWbZsGWazmc2bN/Pll1/S2trKyMgIUVFRPqt7CYj6a39/\nP/PmzeMXv/gFc+fOJSMjg1mzZlFTU0NjYyOXXnopU6dOxWazkZOTw/Lly8nLy0Or1crJzPHCWzu5\nu7uboaEhqXVeVlbGe++9x2233cY111xDamoqmzdv5uKLL+bQoUOYTCbKy8ula40/IDSqPR4POp2O\n7u5uQkJCWLlyJYcOHWLv3r2sWbMGi8XCoUOH6O3tJTo6mry8PGmJ5utAi1KpRKVSkZ2dzfHjx3nr\nrbdYt24dSUlJ7N69m/T0dDo7O0lOTuall17i22+/ZfXq1ezfv5+kpCQmTJgg3Wp8heifHDx4kPLy\ncjZv3sz1118vWTYlJSXk5+ezfPlyli5dKg0juru7/0XCdTzwLrnEx8cTGxtLcHAw/+f//B/i4+PZ\ntWuXbCyeOnWKr7/+mrCwMN544w0uu+wykpKSpPzuT92Pc1rucLlc7N69G5vNxrZt26QV+qpVq2hp\naSE5OZmKigqqq6spLS2VVwir1YrT6fTLOkSpoKuri/j4eBwOB4GBgWRnZ9Pf3w/A4sWL2bZtGxqN\nhry8PNxut5yG9IXGIyDKLvHx8dKma2hoiOjoaJqbmyktLcVoNPLAAw+QlpZGcXExkydPRq/XS161\nP9Yhyi5jY2OSHaDVajly5Aitra1MnDiRyZMny8adeJHExMRgtVr94lIDPwq6R0VFMTY2xuHDh9m2\nbRuzZs0iKioKu92OxWKhq6uLpUuXYjKZ2L17t3S9sFgssrE7XojeiXiY58yZQ2FhIbt27aKkpISp\nU6fS1tbG4cOHycnJISsrS3oPHjlyhKCgIClt4A8IVsPQ0BBqtRqHw0F5eTkRERGsXbuWnp4eXnnl\nFerr66XlmZD8FUYN/oBgVdTW1tLa2sqiRYs4deoUAQEB2Gw2iouLuemmm0hISJCUWaPRSE5Ojswa\n/dH0hx/pb0lJSdhsNnp6elAoFNjtdoaGhhgaGmLXrl0olUocDgft7e3StNcfVEAhDxAdHS1/78mT\nJzl27BgWi4XU1FROnTqFWq3G5XLhdDrZunUrP/zwA0uWLAFOs3Z+luUOwYoQzZ64uDjZ9BDa0uIL\nEH5xWq2W5uZmDh06JEeEfa0Hi7l5wSRwuVwcPXqUiIgIFi1aRFVVFRqNhmeeeYbvvvuO1atXk52d\nLU1Ahdear00IwZkMDQ3FYrFgsVjIzc3FZDJRV1cnR22joqI4cuQIb775Junp6bS3t9PV1UVsbCyh\noaF+o52NjIzgdDpRqVTExMQQGBhIVlYWEyZMkFz2b7/9lvLycu68805CQ0P54osvZH3fHxADEV9/\n/TUNDQ20trZK89nLLruMuro6Dhw4wJQpU/B4PLS0tKDRaGhoaKCjowOr1eqXzHF0dBSVSoVOp2Nk\nZASdTseqVasoLCykpqYGnU7Hp59+SmhoKAsXLpSUzrS0NMLCwnyieXlDjF53dnYyNDQkm059fX3k\n5eVRU1PDgQMHSElJYdq0aRw6dAilUklHRwednZ3SGMFXiOBks9mYMmWK5I+Lvg38OMHrcDjYtWsX\ncXFx5OXl0dTUREdHh0+f780bd7lc0nB3y5Yt1NTUkJmZKecKPB4PfX19JCcno9VqCQkJYXR01C/P\nrEBISIh0fenu7ubEiRMkJydTWFhIc3MzPT09XHfddQwPD3PixAk++eQTamtrmTRpkrQ2+6nP7Tkp\nd4g0X3Au161bxz333INarebbb7+lpKSEv//97xw/fhytVsu1117Lhg0bKCgokHVgfxw4cR0JCgri\n1ltv5ZJLLqGhoQGDwUBqaipdXV2kpqbyxRdfyPrbxo0befXVV6Wbtr9GTPv6+igtLaW7u5sJEybg\ncrmIioqS3oYHDhzgH//4BzabjRdeeIHq6mr+8pe/0NzcjNls9ksd2OPxyGAQEBBAb2+vHPnNyMhg\n//79lJSU8OCDD0qXlIiICL744gtp5OtruUO8OLVaLXPnzsVsNpORkcHRo0cBePbZZyUXNjo6WhrE\nXnHFFTidTt566y3Ky8v9UmYICgoiKSmJBQsW0NzczLXXXovVamXu3Lk0NjaSlZXFk08+KUeC7XY7\nEyZM4Fe/+hXr1q1jypQpfhlmUSqVcoKyvb2dqqoq5syZw8UXX0xQUBCvvvoqHR0drF+/nuHhYT75\n5BPp1vLee+9RUVEhBcLGC/G8DQ0N0dHRwcyZM1m5ciVvvPEGW7duldz+jRs38sILL8iMOzg4mGXL\nltHS0kJnZ6fPtmbihmOxWDh16hQ6nY7MzEyysrK47bbbWLBgAS+++CLffvsto6OjXHvttSxbtoyi\noiLWr1+PSqUiLCzMbwlNQECAdEtvb29n5syZJCUlUVlZic1mIzc3l8OHD9Pb20thYSGPPPII999/\nP4mJiVJ75meZSYs/Li4uTo4Tf/XVV4yNjbF+/XosFgu1tbUEBwczMDDAnj17CA4OJjk5WRrB+qv2\n6XQ66e/vp7+/n/DwcBkw6+rquOCCC1izZo0cdnn77bdRKBTk5+fLJo4/qG/iitbY2CibVQcPHqSz\ns1PeGgoLC0lPTyclJYWBgQF2795NRkaGJMP7i68tgrTD4cBut6NSqbBYLFRXVwOwbNkyOYk5e/Zs\nqquraWxsJDw8XFLw/PEQjoyMSI6yxWKRD73dbqeyslJOOZaXlzNt2jS0Wq3slPuL6iUcaNRqNTNn\nziQjI4PIyEi6urr4/vvviYuL48SJExQVFREdHc3x48cJCwtDr9fL8o+/rtWCkjhr1izMZrPMEKdM\nmYLb7SY6OpqWlhaam5uJj49n+vTpHD9+HIvFIoWFfG0cCuaN0WjE5XLJRu2KFSvIyMjAbrfLadDV\nq1eTkJBAVVWVpOs5nU6/lOXEeqxWKwcPHiQ9PZ38/HwiIiI4deoUl1xyCR6PRw5Zmc1mdDrdGe7t\n/qqLC5sym81GfHw8LpdLCm1dfPHFbN++nYMHD5Kamip7RykpKTidzp+3fZYQF4mLi2PlypUA3H//\n/QDMmDGD48ePEx4eLh+GqKgorrvuOqKiohgaGpIb7Qu8jWQHBgZ4/fXXMRqNzJw5k5kzZ+J2u/nw\nww/Zv38/Go2GTZs2MWPGDDZs2EBra6usa/kjgwVQqVRSZS0xMZENGzZw8uRJXnzxRbZu3YrFYuG5\n554DYMqUKcybN48pU6YwNDTkFwoe/NipDggIQK1WMzAwwODgIDqdjpiYGEZHR9mxYwf79+9n2bJl\npKenU11dzbRp0+Skoj+gUCjo6enBYrEwe/ZsvvvuO+6++24uvPBCli9fzo4dO8jPz6e8vJygoCAi\nIyOxWq3ExsZKVoo/rrNjY2P09/dz9OhRwsLCmDFjBo2NjaxevZqbbrqJu+++m7fffpuXXnqJ/fv3\ns23bNhYsWIBSqZT1V3/csoT5cGNjI+np6WzcuJF9+/bJQStxK3W73Vx66aVMmjSJPXv24Ha7iY2N\nJSwszGftDvGyEA27iIgIWltbWbhwIbGxsRw+fJjOzk5pGdXc3ExZWRk1NTVniKL543tRKpXSM1CY\n3g4NDfH6669TX1/Pl19+ySuvvML06dNJSkrixIkTVFVVSWE0fzFMREJit9ulzIXT6WRkZIS8vDwa\nGxtRKpVs3ryZt99+m82bN3PZZZfJLHq8GiLnrHE4OjqKzWbj+PHjKJVKcnJysNvtlJeX09XVRW5u\nLrm5uQwMDBAYGHjGNJw/jD69Hx6FQkFMTAyA1BgQb/6AgACuvPJKJk+eLCk/IjD709dPPGjR0dGE\nhobyySefUF9fT19fH5s2bSIuLk5q4ur1ejQaDU6nU5pb+gMiixfDIb29vZSVlaHValGr1RQVFaFW\nqxkcHCQ4OBir1UpQUBBqtVruhT8kMUWzbmhoiOTkZFavXk16ejqJiYlUVFRgNpvJzs4mKyuL5uZm\nRkZGGB4e/hdHan+sRZyD/v5+2Sh0OBwolUpSUlKk56BKpWLChAlSSlUEan9AnFUxXafVaomPj5eD\nGR0dHVLid2hoiMHBQSwWi+xznG10PF54ixtFRUWhUqmk2JXFYuGuu+6itbWVzz77jFOnTuHxeEhL\nS0On0wE/Ggz7S5FPpVIRHx9PdnY2U6dOxeVycejQIV599VVaW1v505/+hM1mo7e3V+o5e/8dvkL8\nHjE4JcpSmZmZWCwWPvzwQ4qKirBYLLS3t0u5UhHLxns+zmmQFkHZZrORlJREfHw8qampDA0NkZWV\nhc1mIy4uDpfLJfWV/RkYBUSHNiwsDK1Wy8DAgFRSCw8Pp6Ojg76+PtxuN4ODg3KT/QnxZYtr+nff\nfUdVVRXDw8NERkZKCVeTyQT8aFjrz/0QgwpCxF2MZUdGRhIVFSWdn4XRqYAISP7KUMT1XrArhGi7\nCD45OTkYDAZOnjwpr8/iNuFda/THZJu3El5MTAw5OTnodDpaW1vp6ekhMjISl8uFTqeTtCqXyyWN\nWH2F9wtnbGwMm82GzWaT3wUgy0Fi9FokFyJA+ysgeUOIcI2NjWG1WtHpdJLxJEoLond0dlPbXy8L\nOP3iamlpob6+nsbGRlwuF729vbhcLqqrq7Hb7TKpEJOG/pJLFWvxFlsKCQkhKSkJh8NBQkKCfJlm\nZ2ejUqkkZdeX+HHOgrSAx+MhPDycrKwsAPr7+1EqlVRVVaFQKIiMjJQDBf7c3LMhXMvtdrvkpE6Z\nMoWAgACqqqqkSh38WK7x5yi2gLiWpqSkkJaWBkBJSYkMQsPDw35/QQiIjEv8GxERwcKFC6Vb9rFj\nx/B4PNKqXgRqwav2tzu1gNvtpqWlhbGxMSIjI9HpdBw8eFAGANEAFjhbEN5XiICUkpIiA3FXVxcT\nJkxAqVRSWlqKy+WSQ0i+Nsf+HURgErcMUdIZGxuTVEWhhy7cWc5+afojg/UealEoFPImAVBcXIzb\n7SYuLk4GZa1We8bN118MEwHRyPR4PERGRhIRESFLgKJ5ODIy4pd5hv8XRAwYHR3F5XJhtVoBKCws\nxOFw0NDQQEpKCikpKfI786Uuft4t/DzO4zzO42eM80a053Ee53EeP2OcD9LncR7ncR4/Y5wP0udx\nHudxHj9j/Mcbhw8//PC/LXp7j3u63W7ZpRYuHd5ThuJft9vNE088Ma7q+0MPPeQ5u/7u8Xiks4jo\n1AYFBWE0GmWTTFD1xP9frOcPf/jDuNbx3HPPec72SxMQf7tgMIh/lUqllHmFH0153W4399xzz7jW\n8cQTT3i8P1t0rUXTJzg4WFpoCaNPsV+ioQmnWRajo6P87ne/G9c6HnnkkTO+FEGpUygUjIyM4HK5\nMBqNeDynfQ/DwsKk+PvZPzM6Osrvf//7ca3j8ccf/5dzKs6mcJN3OBxEREQQGxvL8PAwLpfrDA1q\nMcwSGBjIo48+Oq51PPjgg3IdgqcshsEA+awEBQXR1dXFyMiIdBEXvF1xPnw5p97r+H+tJzg4GIfD\nIQ16tVotbW1tZ1BEhdPNH//4x3GtY8uWLf82fnifwYSEBIaGhjh27BhKpRKNRoNGo5EMGG8CwP33\n3z+udZwdxwTLSpx/l8slJwonTpxIQEAAJpOJmpoaAgICCA8Pl03gwMDAnxTHzqlU6dn6soKjK/6A\njo4OQkNDSUlJYdKkSTidTrq6uv4jNDzRbRXsCtE1DwsL4/Dhw7S1tREREUF8fLw8jOLv8AfEfgjW\niF6vJywsDKVSSXd3N1arFaPRKJkUer3+DLdhf3FPBcR3IUa9VSoVs2bNkjZI4nAJypn3S9YXnP2i\nEg+U+Jy+vj45Iq7VatHpdGcERDGp6CvLxHsdIhiNjY1hsVikPkdoaCiRkZFkZWXJtQmqpghc/mb/\nCAaNoGp6PKfNaUNDQzEajVK7o7u7m+7ubvmS9cckqPfPiz0WE57R0dEEBATQ1tbG/PnzWbBgAf39\n/bzyyitSk0cI5fsTYmze7XYzPDxMQECAVAksKysjMDCQmJgYMjIyiIqKkkwUX9dx9jn1VrQbGhqS\nIl9paWlceumlDAwMsGPHDtra2qTMsTd976fgnFLwvKUtHQ4HVqtV+h/29PTQ1NSExWKhqamJyy67\nDI1GQ3FxMT09PXLycLwQmyMeJPFQhYaGMjg4yPDwMBMnTiQ9PZ2mpiZsNht6vZ60tDRpSSQeAH/x\nYUXgCw8PJzExkdDQUGw2GzExMSQlJdHT0yMny4RIS0pKiszi/AmRmfT19TE8PIxOpyM+Pp7h4WFa\nWlqkP5vJZJK8XX/omIjvVASj4OBg1Go1BoOB/v5+6X2o1WpJSEiQTt7R0dFymMPlcvlF1F08RCKZ\nGB4epqGhgYaGBjo7O0lNTQXgwIEDhIeHExcXh8PhICwsjMzMTODHl50/IAKSCARigGXNmjX09/fz\n1ltvcdddd7F06VJeeuklKioqpACQr25GIokRLyzx3NpsNgwGA1FRUZSUlPC3v/1NGkfX1taybds2\nMjMzKSoqAk7fBv2RZAkarNBN6enpkXZiU6ZMYWRkhKVLlzJhwgQGBgbki12IIfn6zJ49MBUeHo5e\nrycqKoqOjg7pkGM0GgkKCqK+vp6vv/76XyaExxPD/uNBWmyQWJyYohMEfI1GQ39/P/v27ePXv/41\n0dHRvPrqqzzyyCPS6VelUqFWq30SSfHWQxgbG0OlUpGYmEhXVxfHjh1DrVbz3nvvScGjyMhI8vPz\nqa+vZ2xsTFpamUwmv7hjw+kXVX9/v3T2aG9vx2g08qtf/Yro6Gg+/fRTbrjhBubOncu2bdtYunQp\nBoOBI0eO0N3dPe41wL9mBiLjCA0NlSLzlZWVhIWFkZOTQ1hYGFVVVbz++uusW7eOwsJCLBYL/f39\nPvsLimDk8XjkgMRrr71Gb28v8+bNY+rUqdjtdsLDw+nr60OtVktBoZiYGOx2O1ar1ad1ePOBVSqV\n9LXU6/U8+OCDjI6O8tZbb5GWlkZVVRUXXnghq1evZvPmzfIlK8TlfXUtF9+NKC1FR0dL/m1zczOH\nDx/GbDbzu9/9jqCgIO68804yMzOZP38++/fvR6VSyd81Xni/tIRmikKhQKvV0t3djUKhICIigrvv\nvpujR4/y/PPPM3/+fK666irUajW33HILx48f59ixY3Iga7z7AafnCTQaDQsXLkSlUnHHHXcQGRlJ\nYWEhx44do6mpiZkzZ1JVVYXZbOa2226TRrotLS20t7f77CAk9mRkZITU1FSys7OlE80ll1widYZe\nfvllxsbGmDNnDitXrqStrY3nn3+e0NBQ4uLipLbK/y/OablDjF+HhIRIoSWRwdpsNj788EOys7NZ\nuHAhCoWC0tJSzGYzmZmZhISE+BSkvaeEnE4nw8PDsv6r1+vJy8vj6NGjTJw4EYPBwJ49e4iJiWHX\nrl3MmDGDG264QR5YoTvty1pEdhISEiJ1iAsKCqTiFyBlXCsqKqRMZWlpKb29vQQHB6PX68e9Bu8H\nWGRcer2e4OBgLBaL1CgICwvj5MmThIWFkZiYSGZmJoGBgTQ1NZ1ha+TLXoj1uN1uqRuenJzMkiVL\nmDZtGs8++ywej4frrruO8PBwdDqd1I2IioqSAz++Kp0JPRJhXtrU1CRHwktKSmhoaKCgoIC0tDRa\nW1t57733CA0NlYa44vrt6zkV383o6Kg8p5MmTaK3t5eWlhaOHj0qpWVTU1NxOp2sWrWKadOm4fF4\npLSCL+JG3oNKSqUSnU5HdnY23d3d7Nixg5aWFlJSUpgyZYos0cXExBAUFMTu3bs5cuQIRqNxXHZR\n/24dKpWK2NhY0tPTaW1tJTs7m5ycHEZHRzlw4ABJSUmo1Wra29upqKggLy8Pm83G7Nmzz7CKGy+8\n+2Jms5nGxkZMJhMfffQRc+bMwWAw8P3337Np0yaOHz9OfHw8Y2NjPPDAA0RERMge28+y3CG8/MQV\n3btZ19PTQ2dnJytWrGD69OnY7XZMJhM//PADV111ldSg1ul0sjjvC8SVcWBgQL5l6+rqpEZuZWUl\nF1xwAUajkczMTDZt2oRSqSQtLY0dO3bISSdfNIPFoQsKCiI6OppJkyZhsVioq6tj4cKFfPPNNyiV\nSgoLC7nzzjuZNWsWO3bs4NJLL+XAgQNs3bqV1NRUkpOTiYqKGvc6vCfa+vv7sVqtmEwmqXmgUCjo\n6uoiLS1N1tyCg4O5/fbbGRsb46mnniI9PZ2kpCQ0Gs241wFnanfYbDZUKhUZGRmMjo5SUlLCXXfd\nRWhoKE6nk56eHr755humTJlCRkYGLpdLjof7WvLwLnMcO3ZMZkMGg4H58+fz+OOPs337dhYtWkRc\nXBxGo5Gbb76ZqKgoHnvsMWkx5WuQFhO3RqOREydOoFarWblyJcnJyVx66aUUFBQQHBzMQw89xPLl\ny7nsssu4+uqr6ejo4LbbbpOi977W6YXim9VqJSoqitmzZ7N9+3Y2btzIZZddxmOPPUZfXx85OTnc\neuut2O12du3aRVBQEP/85z8JDAyUAcqX/RAN5NbWVjZs2IDL5eLBBx/kk08+YWxsjFWrVvHBBx8w\nZcoUbrnlFtra2nC5XJSVlZGSksLg4CBDQ0PyhjFeCFNek8lERkYGS5Ys4b333iMqKoqDBw9y++23\nSyf3wsJC9Ho9MTExOJ1OJk2aJPsGfX19P+lzz0mQ9m7S6fV6FIrT1lGxsbG0tLTwzjvvMHHiRK6+\n+mp6enqorKyktLSUnJwcNBqNDO6+QBx+EYAMBgPx8fGyBhwYGEhqaioNDQ2EhoYSGxsrR9WHhob4\n/vvvUavVssHnyzrE3yKaDx0dHdL5ODc3l7a2Nj755BMp1DI4OIharSYsLIy1a9eewfTwFaJLr9Vq\niYiIwOVykZSURGxsLH19fSQlJTF58mSMRiNlZWU0NDSQm5sr7Zn8oZfhrduhVCqx2+3s3buXwMBA\nJk6cSHNzM8ePH2fDhg3MnDmTmJgYHA4H4eHhNDU1ybqfP6Q5vev906dPZ8+ePWg0GqZNm8b+/ftZ\ntWoVer1eKgU2NDQwMjIiXaJ9PadCJ0bU4sUtsru7m9zcXI4cOUJvby/5+fksWbKE7OxseRMbHBwk\nNTUVh8Phs+a4+E6Gh4exWCz09PQQHR2NxWIhKSmJqqoqkpKSZOBLSkqirq6OK664gpkzZ1JcXIzF\nYpEWYL7uh8PhwOVyUVtbS0FBARUVFZhMJi655BJaW1ulY3lNTQ1dXV3ccsstZGdny7FxX1UBxVrE\n3kRGRqJUKtmzZw+zZs2itbVVmmBMnTqVo0ePUldXx9VXX015eTkhISE4HI4zNFj+f/EfD9KiMx0U\nFCTtsAYGBsjMzGTSpEnShkcItYSFhZGfny9ZBt5Kbb5AXGWFK4vQyQgPD5f18blz51JfX8/ChQtp\nb2+npKREGkjabDbUarXPh040ggS9y+l0ysPsdDqZPHkyZrMZvV5PZmamXN8XX3xBQEAAF154IS0t\nLVitVp9uFqJbL24UISEhBAcHU1dXJxUL33//fcLCwli1ahUxMTGkpqbS3d3N2NgYEyZMkILqvsBb\nxS4kJEQKO6WnpxMREUF+fj5vvvkmlZWVhIeHy6ZYQ0MDcXFxMqiLv8GXdYiGst1uJzY2lokTJ/Lw\nww+zfPlyIiIieOGFF5g+fTpPPfUUs2bNQqPRUFZWhlqtJjk5WQoN+QLxsvF4TpsDCw/MgYEB4uLi\nsNvtBAYGYjabpS57aGgo99xzDz/88AOJiYm0tbX5RWxfsIlEjb2hoYFp06YxMDDA4cOH2bx5M+Xl\n5RiNRnp7e2ltbaWgoEDWZl0uF2q12ifVRsFSETFg5syZ5Ofn09DQQGJiIjabjYGBATZt2kRzczNK\npZKwsDCSk5PlizM0NNQvLBNvvXCRuB06dIhFixbJbF+r1ZKXl8cLL7zA999/z9y5cykuLkav1xMU\nFCQdnn4K/uPDLIL7GxISgkqlwmq1cujQIZ588kmeeuopenp6sNvtVFdXc//997Nv3z6WLFmCwWDg\n4MGDnDx5kt7e3nG9gc5GUFAQYWFhGAwGSktL2bp1KwqFgr179/Lpp59SU1ODy+WitLSUkydPkpub\nKzPLnJycM2QgfdkPj+e0FZB4+FasWEFPTw/PPvssf/7zn7Hb7dLk9NSpUyxcuJCjR48yMjIijQBE\nE8MXeDMqBKtCiOsbDAZefPFFrrzySsl9veCCC5gwYQIWi4U5c+aQlJTkFyqgoGrp9Xop3bphwwYC\nAgIoLS3lgw8+oL29HbvdTnBwMNnZ2fT19Uk97pGREb9kSiJQ22w2goKCcLlcvPDCC6xdu5ba2lqK\ni4u57777uOiii5g9ezZ2u501a9YwZ84c5s+fT0JCgl8EhURiEx0dLdkKNTU1DA0NsXr1aiIjI+no\n6CA/Px+A5uZm7HY7GRkZZ8ho+oqQkBC0Wi1Tpkzhl7/8JSkpKUydOlUG3c8++4wDBw4QEhKCyWTi\n8ssv58Ybb2Tjxo1YrVa/uHSLG3hISAgGg4HrrrsOu93OgpHUqDwAACAASURBVAULWLBgAbt37yY3\nN5edO3eSlZXFm2++SW5uLh9//DE7duxgYGDAb7TZsLAw6Y4eGhpKT08Pt99+u4xtJ06c4IknnkCl\nUnHllVfyzDPPEBAQwLJlywgICBiXvyGcYwpeUFAQFosFnU6HSqWivLycgwcPcsstt7Bx40bef/99\namtrMRqNkjNsMpmkNbw/uI6iCSE6vhdeeCEqlYqenh5SUlKw2+0cP36cOXPmcN1117F27VpZe62v\nr/ebPq5SqcRsNmO329FqtSxevJigoCBpXyUYMAaDAa1Wy6JFizCZTJIL608JRoVCQUdHBykpKcyc\nOZOvv/6a4uJiLrnkEhwOB9XV1Rw4cICCggJ5w1m+fLmkUfoDQl9bsFwUCgU7duzAarUye/ZsgoKC\n0Ol0pKWl4Xa7ueCCC0hISGDPnj1+5SaLh6ilpUU27MrLy9mzZw833ngj0dHRxMXFUVxcTHNzM9nZ\n2TKTF8Mt/uL1j4yMUFlZidVqxeFwsHfvXkJDQykuLkar1bJhwwauvvpqzGYzTz75pCzH+WrKC2ey\nKoS5gkgqMjMzUSqVtLW1cckll/DVV19x/PhxrrnmGvR6PVqtVtaS3W63X8whBF3WbrfT09PDwoUL\naW5uJiEhgWnTpvHCCy/gdrt59913OXr0KEVFRdJqTTwv/gjWAQEB8kU4bdo0Kioq2LlzpzRDGBgY\noLm5WTads7KyWLhwIb29vTLT/6k4Z0FaDAaIyZyioiJ5df/Tn/5EZGQkaWlpbNq0SXIrExMTeffd\nd/1qnyU8yiZMmEBSUhLffvstX375JW63m7y8PBYtWsShQ4fYuXPnGdd7Mejiry9bWNHb7XbKysoY\nGRlh7dq1mM1m2ej4zW9+Q3NzM7feeivPPfccn3/+OR999BHJyclSntIfCAoKora2lpaWFhYvXsyC\nBQuIioqS9dbf/e530qm6u7tbZtZikMQfEFzS2tpaent7WbduHe+//76kf02dOpXy8nL27t1LcnIy\nVqsVjUaDWq32m5SreHmGhoZKt+mKigpSUlL47W9/y1//+le+/vprHn/8cdra2oiOjmbPnj3U1tZy\n7bXXykTC17Mq9tRsNvO///u/XHLJJRQVFUkj3rvvvpvBwUEefvhh2tvbKSgo4IYbbpCuMoDPgyTe\nZ1xYhY2OjlJTU0N0dLT0AjUajVx++eXEx8ezfft2Vq5cycaNG9myZQs2m01SJ33F6OgojY2NUove\nZrPx9NNP43A4mDt3LuvWrePIkSNoNBoefPBBeT66urr8xkISCV5GRgbfffcdNpuNrKwsZs2aRXh4\nOF999RXXX389lZWV6HQ6VqxYwQsvvMDy5csxmUxYLBZiY2N/cj/pnAVp8VZVq9W0tLTwu9/9jrlz\n5zJp0iQuu+wykpKS+PjjjxkdHZVTbgrFaU9CtVrtl+ss/DhsMGXKFPr7++np6aGwsJDMzEzKy8vp\n7OwkIiKCjo4O+vv7ueiii4iKiqK1tdVvdkDwIyUxLS1NsiyEU8uKFSuorq7GYrGQnp6ORqORnfa+\nvj60Wq2c/vMV4sUVHx9PYGAghw8fZvr06cyfP5/t27fT19dHXFycZF2IEkdXV5eky/maKYn6vM1m\nIzg4mMzMTN544w0sFguRkZFMmzaN6OhoAIqKipg1axYPP/yw1AQXNDV/9C1EaW7GjBkYDAbq6+ul\nZVVgYCA333wzmzZt4tChQwQHB3PkyBH0ej3Dw8MMDg7icrl8fnGJYC/Mfz0eD++99540PbBYLCxf\nvpx58+ZJKmROTg5Op5OtW7eiUqnQarU+3zwFM8vhcHD8+HHmzZtHa2srlZWVbNiwAYVCQWdnJ8HB\nwaSkpNDe3i57LEajUeq0+wrhLShusgaDgbCwMG655RZiYmIoLy+Xdee1a9cC8Le//Y3FixdjsVhw\nOBzSbX28EC/wkJAQIiIiaGxslFz17u5uvv76a8LCwmQfY+PGjdIhvKysjOHhYUkf/al7cs6MaMWX\nl5ubi1arxWg0MmnSJCZPnoxGo2HBggV8/PHHnDhxQtZvhGW8v5gEgPSPU6lUcmhh0aJFJCQksHv3\nbjo6OkhMTJQZd1JSEp2dnbS2tgLIq44vEEE5LCyMxYsXExISIu2HgoKCiImJkVf+GTNmMG/ePOnU\n7c079Ud2IPY1Pz8fvV7PK6+8gtFopKenh6qqKpKTk6murqarq4v6+npycnJQKBS0trYSFBREeHi4\nXx7EkZER7HY7er2eCRMmUFpaitVqlbW/nTt3YrPZpGfd8PAwTqcTjUYjHUN8hah/qlQqmaWHhIQw\nNDREc3MzmzZtIj8/nxMnTmAymbDb7ajVajIyMujq6sJsNqNQKHymeolJ1IiICHJycggJCSEvL4+V\nK1eSlpbGl19+SWhoKGFhYRQUFPDll19Ku6bu7m55Vnw5pyIoBQQE4HQ6aWxsZNOmTXzxxRecPHmS\n3/72t6xfvx6Hw8HWrVtZsmQJy5cv58MPP+TYsWNS/8XXRqpYi81mo62tjYKCAvr6+njnnXeYPXs2\nwcHBnDx5krVr1/LRRx9RVFTEt99+i8ViITQ0lPb2dtlM9DWpEVPKCoWCrKws+vv76e7u5tSpU8TF\nxVFYWEhkZCSZmZmYzWaKi4uZMWMGp06doru7W5pE/NTn9pwEaTFA0tHRAUBGRgZFRUWEh4fzxhtv\nUFtby/XXX8+aNWtISkrCZDJhNBoZHR0lKyvrjNHh8UIERofDIQOQMLTcvn07Ho+Hhx56iP3795OZ\nmUlsbCzffPONHAgQhqfjnb8XEIMsKpVKcie/+eYbJkyYgFqt5t133yUuLo4rrriCF198keeff56e\nnh5MJhMGgwGDwSDFqHyFCEpKpZKuri4cDgd33HGHDIAbN27kxIkTWK1W8vLyKCsrIyAggKCgIBnM\n/BGgAwMDsdvtOJ1OjEYjQ0NDbNiwgcLCQoaHh3nrrbcIDw+nt7eXu+66i5ycHDZu3EhDQ4O0PfNX\nc0iM6VdVVckRaKVSicViwWw288gjj3DzzTejUqmorKzkuuuuo7e3l507d6LRaKS2iC9QKpVER0dL\nDnp9fT3Dw8N0dXVx4MABli5dyvDwsGQWhIWF0d7eTmJiIllZWYSEhPjMQvJ4PDIjnzBhAqOjo7z8\n8sskJiYyNDTEa6+9xujoKJs2baKuro6ZM2cSEBAgm50rV65kcHBQCmX5CsHiuPnmmwkLC+Ojjz7i\nggsuoLKykhUrVmAwGLBarZw8eZKCggKWLFnCoUOHGBwcJDExUf5NvsD7Nnv55ZcTGRnJL3/5S/R6\nPcuWLWPLli0sWLCA559/nhdffJHXX3+d119/nUOHDpGQkCDnPX5qOeycjIWLjMtgMGA2m2lububo\n0aNceuml3HHHHezbt096x42MjEijU+F3JzbHHxmssIaqqalBq9Vy11138d1330mK08mTJ5k1axZ2\nu52hoSHmzJlDaGioFHryB7tDBGmNRkNtbS0VFRXcfffdTJo0iba2Ntkt7+rqYuLEiaSlpVFdXY3L\n5cJgMMgShb/q9CqVisHBQQ4ePMiiRYsICgrixIkT7N27F4vFwr333otKpaK+vp7k5GScTicRERFn\n0LN8hfcV32q10t7eTmVlJe3t7axbt47Zs2fzxRdfEB8fz+zZs6mrq6OhoUEO9PhjP0TZJTIykuDg\nYMLDwyWLo7u7m7y8PFJTU/nFL37BP//5T0kfFG7awhjXHzccIRlgNBoZHBwkICCAU6dOYTQaWbNm\nDfX19ZhMJpqamhgYGJDnVPjt+aP0I9g/arWajRs3UlFRwTXXXIPFYuHLL7/EarXK0fnS0lIaGhpY\ntmwZ4eHhqFQqHA6Hz5IBAuHh4aSmplJXV0deXh4zZsyQVlp9fX04nU4ZrIeGhjh48CBtbW3Sqdsf\nHHZxw7darbK8MX/+fJYtW4bJZCImJobIyEhKS0sJDQ3FYDBQUlIih4G8NVB+Cv7jQVoU3NVqNTqd\njqKiIpKTk/nVr37Fnj17SE9P5+uvv8ZgMDBjxgx56HQ6HZGRkWdcyX2FKPyrVCrWr19PREQEJSUl\n7Ny5UzInEhMTSUlJ4eDBg8BpGUTBo/bFp8x7P8S1y+FwoNFoKCwspKqqiuLiYnbs2EFkZCQqlYq7\n7rqL0dFRdu3axcmTJ0lOTpb0PX8yCFwuFxs2bJDu1AMDA1xyySWsW7eOd999l61bt0p+rphAFNmr\nr8FABEaVSkVoaKhk8kybNg2FQkFfXx9btmyhpaWF559/noCAAL766is6OztJS0uTmiNut9vnYRbR\noO7t7UWtVhMeHk5dXR2lpaVUVVURHx+P2Wxm586d6HQ6Zs6cycDAAE6nk7i4OAC/9CzEGjo6Ovj8\n888xGo0cPnyYlJQUHnnkER544AGio6OZNm0a1dXV2Gw2amtrJWc9MDDQ5+xVsDN6enrYv38/WVlZ\nmEwmNm3axPr16ykqKuKbb75h3759rFmzhtHRUeLj43E6nRw+fFjOPoBvGiLid+j1ehYsWEBDQwOl\npaXs3buXpKQk8vPz5Qvh66+/5p133sFgMLBo0SKSkpLkMIw/4oeQHA0PD5cDTHq9ni+//BKlUsmW\nLVu49dZbefTRRykqKuLll1+mrq6O2NhYgHE/s+esJi0yjIMHD9Lc3MzSpUvp7e0lICCAV199lUmT\nJrFlyxZaW1vxeDzo9fp/6dr7+mWLDDQgIICMjAzCwsKorKwkIyODVatWkZGRQXt7O1988QUVFRWE\nh4fT2dkpm43+kAn1Fnpyu90olUqmTp2KVqslODiYe+65h7GxMfbt20dgYCBqtRqFQkFSUpI8HN6/\nx1eMjo4yNDRET08Per2empoaPv30UwCqqqo4cuSIpGGFh4czMDAgh4y8J7B82Q/xO8SE26lTp3j+\n+eeZNm0aV1xxBVOmTCE+Pp6IiAhaWlpwOp2kpqYSGxsrf84fNxyBkZER+UAFBgZy/fXXk5ubK0tj\nCoVC1lqFPoX3kJK/pjABKS61b98+BgcHqaio4JZbbmHdunWUlZWxe/dubDabdDL3Nun19XsRmd/g\n4CB1dXWEhIRw1VVXMWvWLOLj4+nu7iYpKYnly5dTV1eH1WqlqalJMku8n3tf1gFIPr9KpSIiIoK8\nvDwpavXUU0+RkZHB4sWLZeNXDGoNDw/7jZEl1hEYGEh2djbz58+nvr6ee++9l+7ubu68805ycnJk\nYiee15CQEEZGRsb90jqnFDyXy0VdXR319fUoFArZfAkKCuLIkSNUV1czOjqKRqP5t4Ik/hLzEaUU\nt9tNYmIi0dHRZGdn09vby/DwMA6Hg+joaMkc+E/oWZ+dhba1tUnZS6fTKQdvhPTkyMiI1BQW8Bf9\nbWhoiNbWVnp7e7FarURHR0vSvqAXCT0IQY/0Xrs/gpIoi7ndbgwGA3PnzmXx4sVcffXVXHTRRXR2\ndsobVnJyssy6vScWfYX37xE89cOHD8uXukKh4OTJk0ycOJGIiAjgdFNbvLS8/x5fIUo/kydPljVm\no9EInGbTtLS00NDQwODgIIGBgbKP4P2y8tftU6FQYLFYpBiZUqnkhx9+4LPPPqO9vZ2UlBQ5Oi7W\n7q+kBs48Hw6HQ5boTCYTHR0dXHDBBeTl5cl+lsViwWq1yrPhrwAtntmRkRGMRiPl5eWUlJRgs9lk\nFcBisXDw4EHJrhFNZO/n5WfZOBTw3jSP57R4uVarxWQyYTabSU9PPyPj9dfmng0h5iOagiaTib17\n98omWnR0NDqdjoCAgDPYFN7yjb5+vvdouNVqlQda6GZPmjSJgYEBqaksbgD+yF7/HQYHBxkcHMRg\nMLBixQoUCgW9vb14PB7pUiOar/6G976KybLY2FhGR0d58803z9D/drvdxMTESOF3+FfZVX9A6KMU\nFhbK8wjIxqDI1ESA9ufne2fkQvCpoqKC0dFRsrOz2bdvHwcOHJB7lp6efkYm7891wI/7q1KpcLlc\nspG5efNmKVLm7egjSpzeP+sLvDPh4OBg4HQj0Wq14na7SUhIoKenR5pkiLX7cw3e8Hg8GI1GjEYj\narWaa665BoVCQVVVFZmZmbS1tdHS0gIgOeLee/lTofhPBcLzOI/zOI/z8B3njWjP4zzO4zx+xjgf\npM/jPM7jPH7GOB+kz+M8zuM8fsb4jzcOH3rooX9b9Baj3kL8JCQkhMHBQfr6+hgbGyMhIUGO+4qm\nyOjoKE8++eS4OgC33377GesQhXzREHK5XJjNZqlXLMTwh4aGpD2TaJoplUpefvnlca3jkUcekevw\nZpuIcfPh4WFMJhMjIyNycAWQko/h4eGSZ+12u3+SNbw3fv3rX5+xH6LhYrfbpXhSTEwMKpVKak4H\nBQVhtVrPEKYX63/mmWfGtY7HHnvsX86Hd6NneHiYsLAw6Y6tVCqJjIyUXfazueuPPfbYuNbx6KOP\nerx/j7d1lPh3bGwMh8Mhz6gY4Rf/XZwlt9s97nU8/vjj/7If4rMA6dgSHR0tzRj6+/ulb55348zl\nco17Hc8+++y/PC8ez2mncDFFKMSoLBaLdAgXbBdv+uzY2Bj33XffuNbxm9/85t+uQzQng4KCJJ+7\nu7ub0NBQdDodBoNBuvV4yyg8/fTT41rHww8//C/PLZz+3sUZsVqtUk5CCKB5szvE+XK73T8pjp1T\ndgcgqXXC2cDj8RAVFYVer6eqqgqn08no6Ch6vV4KsItN8XUs/OzNFb/TbrfT29tLY2MjWq2WyZMn\nyzHw3t5eXC6XHH/2V5dYBKKxsTECAgIICwuT5gJCoyInJweP57RnXVVVlfw5fwwJnA1BS6ytraWz\nsxOHw8G8efPQarVERUURFxeHWq2WFCd/6Hv/OwhthPDwcPlyFK4xRqMRnU5HUlISXV1dDA8Pn7Ef\n/hgk+Xe/SwQc4VC9f/9+IiIiyM7OltQ8f+3H2UwEceYDAgIYGBigrq6Ozs5O5s2bx+joKB0dHSgU\nChITExkeHsZoNEr+vT/mCrwhLN/Ey0pMWfb29qJSqYiPj0elUtHX14fFYpGMD19w9jpEoiR8UiMi\nIqisrKS5uZmamhpiYmLIzMwkOTlZUlb9YRoi3MrhTJaTsG5zuVxSYlmYKavVarRaLWNjY1it1nEz\ngc5puUNkG0I82+l0cuzYMXbs2MGhQ4f49NNPpfyh0+mUs//+GvmFMzNojUZDcnKyzFjj4+PR6XR0\nd3fLrGHfvn0cPHgQp9PpV3qTyDa8eZdNTU3s27ePffv2UVJSgsvlIj4+npGREU6cOEFzc7MctfXH\niLyA2N/+/n4qKiqoq6sjJiZGjtnCaR63xWIhJSWFxMREqUzmLy1nbwpebGwsBoNBKsvFxMQQFRXF\nyMgIhYWFFBQUSHup4OBgvwwreOvDCCqZuN21trbS2NhIRkYG11xzDQ8++CBXX301F198MYv/b3tn\nHtX0mbb/D5CwhEACYd8krBHFbVTcitDRWru3Vsd2zpwuM7Y97Wk7Z9pO9zPTzms7nZn2tB1P7TJd\nrHav1Vqrdd9BCyIKIggCAQlLIBBIAgmB/P7wfZ5h5v398Y7J2+Mf3+t/5cmTJ/fz3Pd93ddVUkJ+\nfv7/lw/rDwTtUK1Wo9PpSE1NlSPwGRkZ0i3mzJkz1NXVkZ2dzZQpUyR11N+JQ3FJCepndHQ0GRkZ\nZGZmEhISQltbG8PDw7S2ttLZ2cng4KAU4MrLy5OUTn/HwicOs8Alimp/fz8+n09O/9lsNoaHh1m9\nejUmk4nOzk70ej3JyclysMVf6qzIGsV6xDqE+4vL5ZLfgcvlIiUlBafTSX9/P/n5+SQmJspX/3/8\nty971f8BJk7/xMXFkfnfwu1DQ0OUlJTI6cLs7GwA8vPzuf/+++nt7eW5556TvER/Dp4om4gJu/Hx\ncXQ6HUFBQVJo32QyUVNTg0ajkYMdS5cu5eLFi9KRQgiw+wthsvvDDz/Q2dnJ2rVr6ezsJDs7mx07\ndvD8888TExODz+ejoaGB9evX093dzYkTJ/B6vYyMjPilozwx/RK2XSkpKSxZsoSenh6ioqJYt24d\nhYWFvPrqq7S3t3PmzBm2bNmCSqUiNTWV0NBQuZZAQOxvYmIiZrOZ2tpasrKyqK+vx26309nZSXV1\ntRx8+t3vfsdrr72GzWYjOTlZjt9eDiam0MKZXQjWFxQUEB0dzeuvv05SUpIctvL5fGzbto0pU6Zw\nxx130NraSnNzs19GCCKgCCGr/v5+Wd7w+XwsXrwYlUrFY489xhtvvMFf/vIXVCoVL774Imq1WvK6\n/c0qxItPlOLS09NRq9Vs2bKF3t5eCgsLmTp1Ks8++yxPPPEEixcv5u6776asrAyHw8H27duZOnUq\nRqPRb1szMVXa29tLZWUlBoOBpUuXUlNTQ2hoKMuXL2f79u0MDw9LrY7Dhw+j1WpJSkqSF00gfi9C\nF//MmTOEh4fz8ssvU1ZWxubNm9m4cSMWi4Vdu3bx3HPPYbFYePnll8nLy6O7u5v29nbCw8PlINT/\nFj9JkBavRafTSV1dHSMjI0RHR2M0GklNTeX+++8nIiKCa6+9FpvNRktLC9OnT8dqtcobyel0YrPZ\nLnsNIlUReryixpyeno5Wq8VoNDI0NER6ejpPPvkkZWVlHDhwAK1WK9crtHX93QtxWTgcDs6fP09O\nTg45OTkcPnwYp9PJiy++yMcff8wvf/lLOWl3/Phxenp60Gg0jI6OSvPVy8XEYRqHw0FYWBgGg4FP\nP/2UxsZGZsyYwUMPPYROp2P16tUYDAZKSkqYNWsW7e3tZGVlMTg4KNNafyEU8Do6OmR6Gh4ejl6v\n5+TJkzzyyCNs3LiRCxcucN9999HU1ERubi7l5eWMjIwQHBwsX/2Xux+AfL13dXVhMBgICQlhaGiI\n0NBQrrrqKu68805aWlro7u5m8uTJnD59mrNnzzJr1iwcDgctLS1+vdjE+RBnpKamht7eXoKDgzl3\n7hwmkwmNRkNCQgIul4v33nsPk8nE8PAwo6OjaDQameUE4jEhHljnz5/HarWSmppKcXExw8PDOBwO\nioqKqK+vJzQ0FKPRyM9+9jMqKiooLS2VpSB/LbTgnzKhBoOBq6++mosXL1JRUcEtt9xCTEwMKSkp\nBAcHYzQamTZtGrt375YTmRMzrsvFxAGj0NBQDAYDiYmJtLe3U1ZWJs0poqKi0Gq1vPDCCwwPDzNv\n3jzKysqwWq1SIO0/xf95kBaptNfrlaOlYsSzra2NtLQ0PvroI1wuF3v27CEoKIi9e/fy8MMPU1dX\nxwcffCB1I/y5kSfWkIRIudvtpre3F51OR0NDA6mpqfzwww/cc889uFwukpOTKSwslJqxwizWn6AU\nEhIia2VarZZVq1aRl5fHxo0bSU5OZu7cuQwMDPD++++zZcsWGhoapC19c3Mzd955JzabDZfL5ffh\n93g82O12zGYzXq+X8+fPU1payjPPPMObb74pvfP27NnDrl27eOWVVzCZTPT19UlVL5fL5bc2g6jp\ndnd3ExkZSWZmJk1NTVx99dXo9XoOHjzI7t272blzJ9OmTcNgMLBr1y4++ugjjEYjbrdbChz5A7Va\nLSV1rVYrV199NZ9//jnFxcWkpqZSX1/Ptm3bOHfuHLm5uWzdupXXX3+dJ598kpqaGilW5e8rVgjL\nC6MD4QZy+vRpIiIiqKqqIiYmBrPZLE0iMjIymD59OuvWrZOlO390rYOCLhkgCO9LUU+dNm0a7777\nLvv372fjxo2kp6fjcrk4fvw4IyMjrF+/HovFwtq1a+nr66OpqcmvzEIoRooLW2RvlZWV8pIODQ1l\n7ty5bNmyhX/84x8MDg7y0EMPUVhYKJuH4qz6sx9BQUFoNBpiY2NJS0uju7ubyspKPvvsM/bs2cN7\n770nvRdTU1PZsWMHU6ZM4ezZs/z617+mt7cXi8UidfL/t/hJ3MLh0jhnQkICmZmZ6HQ6nE4nbrcb\ntVrNkSNHeO+997j11luZMmUKTU1N9PX10dXVRW9vL3q9PmAWPCEhIcTGxpKVlSWthlpbW+nq6mLN\nmjWo1WqysrKora1lZGSE8PBwMjIysFqtqNXqgImYq9VqoqOjGRoa4syZM1InQ+hc+3w+uru7Wbx4\nMTExMRiNRvR6PcPDw3i93oD4PcKlwBQXFyfLF7m5uWzbto2NGzfypz/9iZ6eHgYGBjh48KBkv/T2\n9mK322Un31/BqeDgYCIjI8nIyCAnJwefzycbLRqNBq/Xi81mY926dRw6dIgvv/yS1NRUBgYGWL58\nOd3d3QGp0YugpFKpMBqNTJkyhcmTJ7No0SIqKiqYM2cOarWa3/72t4yOjlJSUsL4+DhRUVGcO3dO\nlvT8rY+Ll7QoqfT09DA2NsbQ0JAsLWk0GlpaWrjhhhtwuVx8+umnuN1uGhsbpb2av0FarCMsLAyV\nSsXw8DCnTp1i2bJl3Hzzzbz77rsMDw/z5z//mf7+fmpqarhw4QKTJk2isrKSsbExBgYG/G5gTiwB\nud1u2tvbee2113A4HLzzzjtMnToVi8XCTTfdxLJlyzh27BhFRUVYrVZCQ0Pl3vmDiZIWQizJZrMR\nGRlJZWUl5eXlrFq1ih07dmAwGMjMzMTj8fDFF1/gdrtJSEiQ8gr/Kf7Pg/TE7rRer0er1UpHi8OH\nD9PS0kJ0dDRdXV0sWbJESnI2NzfLzr5arZYz+5eLiQcuPj5eUqeKioo4c+YMERERaDQasrKyWLp0\nKWazmY6ODpqamtDpdLS3t0uLq0BILwpVr4GBAZqbm5kzZw7Nzc3s37+f5cuX89VXX2E0GtHpdHz5\n5Zc8+uijANTU1BAbGyszksuF+BGKz200GqUDTXV1Nffeey8Gg4G1a9fKIHTvvffKg2q32wkLC/Nb\np1ek9xqNRjJJmpqaADhw4AClpaWS0pSSkkJLSwsAy5cvR6VSMWXKFIKCLkma+rMO8eMTmjHCFHdg\nYIC+vj527tzJ559/zp49e0hMTKS2tlbqCwcHBzM8PXyGkAAAFYBJREFUPBwQPemgoEv61B6PR17g\nwhQjMzOTlJQUUlNTGRwcpLOzE6fTSVVVlWwwZ2ZmEhcXJ2VL/dkPoUooRI1aW1tRq9U89NBD2O12\nvv32W2bPns2BAwdwuVzY7XZKSkoYGRlh//79JCYmShXHy4XQaAkODmZ0dFQ2Cc+dO0dNTQ0XL14k\nJyeHuro6PvroI/r6+oiMjMTpdFJeXs7MmTPlRR+Ic+p2u/F4PMTGxpKfn8/333+PxWIhKSmJqVOn\nsnnzZvLy8mhtbZXu4AaDAbvdjsPhuKx1/CR60iJQR0REcOzYMbq7u3n44YeZNGkSS5YswWAw8PXX\nX/P8888zY8YM5s2bx+HDh5kyZcq/cBwDQTkT/9+hQ4dwOp1YLBbq6urIzMxk5cqVDA0NsXr1ajL/\n2xT3q6++IiEhQf5whCKcP3C73bLWGR8fz6pVq/jggw8ICwvjo48+4o9//COVlZXs27ePvr4+DAYD\nLS0t7NixQ1LhArEXgg6ZkJBAb28vx44dY/bs2TIt3L9/P88++yypqanodDrOnTtHV1cXixYtwmaz\nSdlGf/dDcK5TUlLYunUrzc3NPPvss6xZs4aFCxfidrs5evQoBQUFBAUFYTQa6evr4/Tp03JtfX19\nfq1BBCXRvFSr1Rw7doycnBzGx8dJTU2lsrKSb775BofDgcfj4cEHH2T37t1cf/31JCcn09nZGRB2\nh5DXHB4eJjw8nIKCAkwmExcvXuSbb76hpKSE6dOn09vby8mTJ8nPz6e0tJR9+/ZRWlqKSqWS1FF/\n9sPr9eL1eqXu+eLFizly5AgLFy4EYOPGjXz99ddERERQVFTEgQMHOHHiBLGxsVRXV5OcnMzs2bP9\ndu/xeDyyjCRYLo8//jh5eXmUlJRw8uRJysrKeOihhzh27BhBQUGUlpby448/YjQaJVPGn3Mq4phg\nQQnbPY1Gg8lkYtOmTbz77rvSEGJkZIRbb70Vp9OJ2Wxm06ZNxMfHX9Ze/GQvaUCmxsnJyZw6dUpy\nOj/55BM8Hg+rVq1Cq9XKm1vImwpKUSCsmsbGxhgeHqa7u5uIiAjWr19PWloa999/v3zJd3Z2Ehwc\nLDnaVqtVNtcCQcMTXXPBSsjJyZEcbdGEyMvL46WXXqK4uJiCggJp4hsdHU1UVBT9/f0BsSVSqVTS\niTkxMZHMzExOnDjB8ePHWbFiBVarlc2bN1NSUkJ/fz8mk0kS9oVJaqCg0Wjo6+vD5XKh1WqZP38+\n2dnZhISEkJSUJPWCjx49ysyZMwkKumSEGh8f73f3Xlx64nykpaURFxdHREQEXV1dWK1W8vPzefrp\np6moqCAsLIyUlBQuXrwom1Zut9vvYCAgBnV+/vOfMzIywqFDh8jKyiImJkZKkgoD3FOnTlFdXY3Z\nbGbhwoWSHuZPkBYYHx/H4XCg0+koLCwkJCRE8uX37t3L6OiopL1pNBr27dtHcXGxNOzwer0BLREm\nJydjNBqJiorC4/HIuYb29nZeeeUVNmzYwNGjR7n66qv/xRPT35f0RCrg+Pi4NGIIDg5m0qRJxMfH\nYzAYqK+vZ2RkhKKiImpra2ltbSUxMZHGxkbGxsZISUn5jx9YPwm7QzQPBwcHWbZsGTk5OTz22GPM\nmzePRYsWodVqmTRpEu+88w719fVkZWWRkZFBdXU1bW1t5ObmBsSmSaSiQ0ND+Hw+TCYTBQUFeDwe\nNmzYwBtvvMH8+fOZMWMGmzZtQqPRcM0112C326WzjEqlCkhg8ng8mM1mWltbqa6u5pVXXsFqtfLl\nl1/y/vvvs3//frxeL7Nnz2bNmjX89a9/lZY8gprlb+NQ0M6amprwer1MnjyZtWvXEhsby/3338+O\nHTsICwtj/fr17Nixg+joaAoKCtiyZQuTJk2SNXJ//RYFP1q8PrZt28bXX39NUlISZWVlrFixAovF\nwu9//3sef/xxqqqqWLlyJUlJSZjNZqKjo2VDyd+9GBoawmazce2113LmzBnGxsaYOXOmtEwSVk05\nOTlcuHCBadOmcfToUex2O/Hx8YyMjPhVaphY97RarcydOxeHw8Hu3btJSUnB7Xaj1Wqpq6sjISFB\n/r34+Hh5Ri0WS0B0tsVaxsfH6ezs5KWXXqKlpYXbb78dh8OBVqtlyZIl/OY3vyE1NZUXX3wRl8vF\nnDlzCA8Pp7e31++yi1iHmCTcunUriYmJWCwWDh8+zFNPPUVoaCiVlZXcc8897Nu3j4ULF7Jz506y\ns7MJDg6mv78/ID0c8XAUOuZdXV0MDQ1x+PBhAOLj42ltbaWgoACLxUJWVhZZWVlMmjSJzs5OWSq9\n4sodcOkDTrR88ng8TJ48GZ1Ox8mTJ/mv//ovoqKimDFjBjfeeCNOp5OoqCjZ5IuLiwtIei9u46Cg\nIKKjo2VDYtasWRgMBiIiImTdecWKFQwMDBAXF4fL5ZIj0j6fLyAEfVFfKygooKurC5vNJk0uN2zY\nwPbt29m4cSN9fX3k5eXh9Xppb2+nqKiIrq6ugLyiBdVNaHknJiaSkZFBUVERDocDp9PJkiVL+Pbb\nb9m7dy96vZ7vv/+e7u5u5s6dS0REBMPDwwGZKhsZGcFisZCbm8uyZcvIy8ujra2N+vp6FixYQFJS\nEq2trYSFhaHRaDhx4gS1tbWkpKTIKUV/ILKbiaP6Z8+eJT4+npiYGHlBp6amkpWVxZEjRzhx4gSr\nV6/m1KlTJCUlSR9Of2vjAgMDA3z11Vfk5uayfPly2traKC8v5+WXX6a9vZ2Ojg4cDgfh4eHSKaWi\nogKn04nD4QjIngi+thjSSEpKIjk5WV5WX3/9Ne+//z6NjY1UVVVRWVkpX86iNBgI9o8Q0G9qakKt\nVjN9+nT0ej2rVq3irbfe4tprr6WtrY2CggJuuukm1q1bx9KlSxkeHsbj8WAwGPxyCxfnIyQkBJ1O\nR0xMjHQH2rt3L11dXZSVlWE0Gjl+/DgOh4OVK1dSXl7O0NAQGRkZlz0F+pONhYs08Pz58zQ3NxMf\nH096ejojIyO89tpr+Hw+yb/85JNPSE9PJykpiaSkJFl4D0S9T6VSER0dTUREBBaLhaNHj9LR0UFO\nTo6cgLzuuutISEjg0KFD9PT04PV6SUpKwuv14nQ6A3L4Bf3txhtvpKmpCbPZzKxZs1ixYgUqlYr8\n/Hy6urrYvXs3U6ZM4cCBA+zfv5877riDwcFBnE5nQPbD6/UyOjpKbGwsoaGh3Hbbbdx6663U19fj\n9XqxWCzs2LGDW2+9lb6+PoaGhpgzZw4GgwGPx+PXwRfw+XwMDAzgcDgkyyQ6OprIyEiam5u5ePEi\nSUlJGI1GKisrcTqdHD9+nL6+PubOnQtcMm7wFyIgBAUFSVqiw+Fg69atbN68mTVr1kgjhM7OTrKy\nsnC73ej1eumWLTj4/u6HyD4FxcxoNDI2NkZqairNzc1SJkBoiQQFBdHY2Mj58+fl3ul0Or/3REz2\nmUwmMjMz+fHHHxkcHESj0VBWVsbhw4d5/PHH2bBhAw0NDbjdburq6sjJySE0NNRvX1DxgtVoNOh0\nOjIyMigpKSEzM1O+Yj/55BNeeOEFFixYwMyZM0lOTmbLli2kpKTwww8/oNPp0Ov1fp1Vn88nqbNp\naWmYzWY5mStYJKIkGRoail6vp76+no8//piVK1cSHx/P4ODgZV1YP9nEoUajkR9SvCI//PBDANLT\n06murmb79u0A0opGTPoJDzt/D78QhImLi0OtVtPd3c1jjz3G4OAgFy5cYNGiRZKTvHXrVrRaLTqd\njqGhISIiIgJS2wLkxGNwcDBpaWmEhITw+eefo1arqampYf78+cyfP5/169cTGRlJWloax44d46qr\nrqKqqorz58//iz3R5UL4wU2dOpXw8HBpB7RhwwbGxsZ44YUX+PHHH/n000/ZtWsX27dv5+9//ztV\nVVUcPnyY6OjogKSzo6Oj9Pb2Ul1djUajwWq1snv3bh588EEeeOABTpw4QUVFBUajkf7+fq677jpq\namrIyMggMjKSrq4u2Ry6XIgfYXx8PIWFhezbt4+EhATy8/Opq6vj9ttvJyMjg5MnT5KZmcnChQsZ\nHBxkdHSUp59+WjqWCOqgPxDGzTNnzuS2226TLJtf/OIXXHvttbzxxhvcddddnD17ljlz5lBbW0t8\nfLxs6AL/w9LrchEdHU1KSgpvvfUWDQ0NFBYWYrPZWLhwIU8++aTs50RGRrJu3TrefvttyQKZOLjl\nL8T3+8ADD3Dx4kWeffZZVqxYwTXXXIPP55NZRkVFBceOHaOsrIyqqiq++eYbOa3p74te1NhHRkbk\ntKN43JhMJjweDxUVFfzqV7+it7eXtrY27rrrLvR6PVVVVYSEhFxWff4nCdKC1xsWFiZ5sKOjo0ye\nPBmDwUBzczNz584lMjKSrKwsCgsLefvtt3G73bhcroAEaLj0RYtmZE9PD1VVVZJi1d/fz4wZM2hq\naqKzs5P4+HjmzZtHe3u7/GICYQsPSN2JzMxMWetdsGABGo2GiooK2Z1ftWoVnZ2d2Gw2nn/+efR6\nPYcOHfJ7gEQgKCiIsLAweXiSkpJYtWqV9I4zm81YrVaeeOIJTpw4wYIFCzh48CDffvster2esLCw\ngNAjVSqV3JOYmBiKi4v58MMPqa2tJS4ujsbGRskpb21tZXx8XJaHzGazVO4LRIaj1WoxmUzU19dz\n4cIFnE6nHMKqqqpi8uTJWCwWurq66OjoYNasWTQ0NMg1ud3ugJTmxKssJycHjUZDRkaGbFSWlpYy\nadIk3njjDebOnStLcZmZmbS3t8vmq7/BcSKHPTQ0lNHRUZ577jl27txJWVkZKSkpREVFMWfOHPr7\n+ykvL+fcuXNSbsHfwCgwNjaG3W4HIC0tTWahQlclODgYu91OaWkpLpcLtVqNxWKhoaGBmJgYyYby\n93sR7B/hR7pgwQLS09P57LPPGBwclGyYmpoaRkZGKC4uZnx8nKqqKux2u2ymXnGNQ/HaE5oZjY2N\n9PX1sW3bNoxGI7GxsTQ0NJCTk8PmzZu5/fbbJQUpOjpaBsdACdeMjIzQ09ODXq+noKCA4OBgiouL\nyczMpLy8nPDwcPLy8mhoaGDXrl0kJSURFxcXsDWIsk90dDRLlixBp9MxODjIJ598gs1mIyoqim3b\nttHW1sarr77KgQMHcDgcpKenS0lGt9vtdxoJ/zRbDQ4OxmKxyCEiQXcS04dHjhxh6dKlDA4OsmfP\nHiIjIykoKCA8PDxgl0ViYiI6nU5OqBUUFMix/ezsbIxGo2yWTZ06lbq6OgYHB2lvbw8Y68bn8zE8\nPIxWq2XatGlUV1cza9Ys7r77bsxmM59++inp6els2bKFdevWkZiYyIMPPkhtbS3Z2dkB4UmLwOZ0\nOunt7WXTpk2YzWYeeOABwsPDOX78OC+99BIHDx6ktLQUs9nMF198QUZGBtOmTUOlUkldl0CcD7vd\nztmzZ8nJyZEZ3759+7Db7axduxaVSsWRI0dobW1laGiIZcuWyTqw+Cz+8vnFRGpHRwfvvfce8fHx\nnD59mrKyMh599FGuv/56VCoVubm5dHd3k5GRwaZNm/B6vZhMJinzGogzIsySo6KiaGtro6amhqam\nJkwmE/n5+Zw6dUrOXezfv5/z58/LOQTBTrviGocTtQh8Ph8ul4uwsDDuu+8+0tLSuHDhAgDFxcWk\npKRgMpmIioqSQWmiLGAg1iIaf2I0c3x8nMbGRhobG+no6CAmJobGxkaampoIDw+XJp+izBEItTVx\ncIODg0lKSmLWrFnY7XbOnTvH4sWLcTqdHDt2jG+++Yby8nLg0lRkeHi4zCj8DQYConmo1WopLCwk\nKiqKgYEBWlpa+Oyzz/juu+8wm81oNBqSk5PJz89nbGxM6gr7i4mUNa1Wy/DwsNRcuOGGG0hISKCr\nq4vo6GhuueUWfD4fERERcrhI1G4DJVMqZCXtdjtWq5W//e1vfPfdd1itVhYsWEBubi533XUX6enp\nmM1mKTMgpA/8bWJOfIH6fD55eS1evJjg4GDq6+t55JFHAJg/fz5dXV3AP6lygZgCnbgfgMwOxJTn\ntGnTSEtL4w9/+ANnzpxh7dq1UpKzubmZnp4eqTft7xkV/15ke2FhYTQ0NPDmm29iMpl46qmnuHDh\nAu+++y6RkZEkJibKiV2hgCcyaH8h4phKpWLevHmkpaURGxtLbm4uFy9eZPPmzcyePRuTyURdXR02\nm032WMTU5hVbk564QWKsOTExkb6+Pux2OzNnziQzM5Ouri75shMjsYH48QlMpDe53W7ZGOvt7cVq\ntZKTk4NeryclJUXWayfefoHkBI+NjckRV5vNhsFg4MYbbyQ/P58vv/yS3t5ePB6PLAG4XC7J6BDr\n8PeHONF9PCwsjNjYWFavXk1YWBi1tbU888wzVFRUMDY2RnZ2tjREEK+0QLzmJ0rHisEakUFFRkZy\n5swZTp48iVqtZtGiRQQFXRKzV6lU8oUUiDMi1iEm/oQ8wPTp0zEYDHi9Xq655h
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