From 306e53c402e869c8425865fb5d9189ee66613d81 Mon Sep 17 00:00:00 2001 From: Shubbair Date: Mon, 29 Jul 2024 19:44:16 +0300 Subject: [PATCH] Updating GAN Code... --- gan/playground.ipynb | 381 ++++++++++++++++++++----------------------- 1 file changed, 177 insertions(+), 204 deletions(-) diff --git a/gan/playground.ipynb b/gan/playground.ipynb index 89a92668..8500a551 100644 --- a/gan/playground.ipynb +++ b/gan/playground.ipynb @@ -9,7 +9,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 244, "metadata": {}, "outputs": [], "source": [ @@ -18,7 +18,7 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 245, "metadata": {}, "outputs": [], "source": [ @@ -47,7 +47,7 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 246, "metadata": {}, "outputs": [], "source": [ @@ -62,13 +62,13 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 247, "metadata": {}, "outputs": [], "source": [ "class Generator(nn.Module):\n", "\n", - " def __init__(self, z_dim:int = 10, im_dim:int = 784, hidden_dim: int =128):\n", + " def __init__(self, z_dim:int = 10, im_dim:int = 784, hidden_dim: int = 128):\n", " super(Generator, self).__init__()\n", " # Build the neural network\n", " self.gen = nn.Sequential(\n", @@ -89,7 +89,7 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 248, "metadata": {}, "outputs": [ { @@ -123,7 +123,7 @@ ")" ] }, - "execution_count": 50, + "execution_count": 248, "metadata": {}, "output_type": "execute_result" } @@ -135,12 +135,36 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 249, "metadata": {}, "outputs": [], "source": [ - "def get_noise(n_samples, z_dim):\n", - " return np.random.randn(n_samples,z_dim)" + "# make 2D noise with shape n_samples x z_dim\n", + "def get_noise(n_samples:list[int], z_dim:int)->list[int]:\n", + " return mx.random.normal(shape=(n_samples, z_dim))" + ] + }, + { + "cell_type": "code", + "execution_count": 250, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "img = get_noise(28,28)\n", + "plt.imshow(img, cmap='gray')\n", + "plt.axis('off')\n", + "plt.show()" ] }, { @@ -152,20 +176,20 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 251, "metadata": {}, "outputs": [], "source": [ "def DisBlock(in_dim:int,out_dim:int):\n", " return nn.Sequential(\n", " nn.Linear(in_dim,out_dim),\n", - " nn.LeakyReLU(negative_slope=0.2)\n", + " nn.LeakyReLU(negative_slope=0.2),\n", " )" ] }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 252, "metadata": {}, "outputs": [], "source": [ @@ -183,13 +207,12 @@ " )\n", " \n", " def __call__(self, noise):\n", - "\n", " return self.disc(noise)" ] }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 253, "metadata": {}, "outputs": [ { @@ -214,7 +237,7 @@ ")" ] }, - "execution_count": 54, + "execution_count": 253, "metadata": {}, "output_type": "execute_result" } @@ -232,55 +255,34 @@ ] }, { - "cell_type": "code", - "execution_count": 55, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "# Set your parameters\n", - "criterion = nn.losses.binary_cross_entropy\n", - "n_epochs = 200\n", - "z_dim = 64\n", - "display_step = 500\n", - "batch_size = 128\n", - "lr = 0.00001" - ] - }, - { - "cell_type": "code", - "execution_count": 56, - "metadata": {}, - "outputs": [], - "source": [ - "gen = Generator(z_dim)\n", - "mx.eval(gen.parameters())\n", - "gen_opt = optim.Adam(learning_rate=lr)\n", - "\n", - "disc = Discriminator()\n", - "mx.eval(disc.parameters())\n", - "disc_opt = optim.Adam(learning_rate=lr)" + "### Losses" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Losses" + "#### Discriminator Loss" ] }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 254, "metadata": {}, "outputs": [], "source": [ "def disc_loss(gen, disc, real, num_images, z_dim):\n", + " \n", " noise = mx.array(get_noise(num_images, z_dim))\n", " fake_images = gen(noise)\n", " \n", " fake_disc = disc(fake_images)\n", " \n", " fake_labels = mx.zeros((fake_images.shape[0],1))\n", + " \n", " fake_loss = nn.losses.binary_cross_entropy(fake_disc,fake_labels,with_logits=True)\n", " \n", " real_disc = disc(real)\n", @@ -288,14 +290,21 @@ "\n", " real_loss = nn.losses.binary_cross_entropy(real_disc,real_labels,with_logits=True)\n", "\n", - " disc_loss = (fake_loss + real_loss) / 2\n", + " disc_loss = (fake_loss + real_loss) / 2.0\n", "\n", " return disc_loss" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Generator Loss" + ] + }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 255, "metadata": {}, "outputs": [], "source": [ @@ -306,7 +315,7 @@ " fake_disc = disc(fake_images)\n", "\n", " fake_labels = mx.ones((fake_images.shape[0],1))\n", - " \n", + " \n", " gen_loss = nn.losses.binary_cross_entropy(fake_disc,fake_labels,with_logits=True)\n", "\n", " return gen_loss" @@ -314,146 +323,36 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 256, "metadata": {}, "outputs": [], "source": [ - "train_images, _, test_images, _ = map(\n", - " mx.array, getattr(mnist, 'mnist')()\n", - ")" + "# Get only the training images\n", + "train_images,*_ = map(np.array, mnist.mnist())" ] }, { "cell_type": "code", - "execution_count": 133, + "execution_count": 257, + "metadata": {}, + "outputs": [], + "source": [ + "# Normalize the images to fall between -1,1\n", + "train_images = train_images * 2.0 - 1.0" + ] + }, + { + "cell_type": "code", + "execution_count": 258, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "60000" + "" ] }, - "execution_count": 133, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "len(train_images)" - ] - }, - { - "cell_type": "code", - "execution_count": 60, - "metadata": {}, - "outputs": [], - "source": [ - "def batch_iterate(batch_size: int, ipt: list):\n", - " perm = np.random.permutation(len(ipt))\n", - " for s in range(0, len(ipt), batch_size):\n", - " ids = perm[s : s + batch_size]\n", - " yield [ipt[i] for i in ids]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### show batch of images" - ] - }, - { - "cell_type": "code", - "execution_count": 128, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZcAAAGVCAYAAAAyrrwGAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAD+KElEQVR4nOy913Ok15nf/+mcc0Q3choMJg/JYRaDREkridrV2lrf2S6Xy75z+V+w/wKX7Zu9sW+2vLVBtlcbZFKiKM2QHFLD4SRMQM7onHP+XczvHDZmMOQEDNAA3k8VigENoN/T532f86Tvo+p0Oh0UFBQUFBR2EfV+vwEFBQUFhcOHYlwUFBQUFHYdxbgoKCgoKOw6inFRUFBQUNh1FOOioKCgoLDrKMZFQUFBQWHXUYyLgoKCgsKuoxgXBQUFBYVdRzEuCgoKCgq7jvZxX6hSqZ7n+zhQPI2ogbJ+X6Os37PxtKIayhp+jbIHn43HWT/Fc1FQUFBQ2HUU46KgoKCgsOsoxkVBQUFBYddRjIuCgoKCwq7z2Al9BQUFBYVnR61WY7FY0Ol08msnWq0WjUaDdrtNs9mk3W4D95PpnU6HRqNBp9Oh1Wo9dZHH80QxLgoKCgp7iM1m4/vf/z4jIyMMDAwwPDy84+uSySSrq6uUSiXW1tYoFosAtNttyuUym5ubVKtV0uk05XJ5D6/g8VCMi4LCLvCoMtVePFEq7C96vZ6xsTFOnz7N9PQ0p06d2nH/bGxscOvWLXK5HAaDgUwmA9w3LtlsllKpRLFYpFgsUqlUgN7ab4pxUVB4QjQaDQaDAZ1ORzAYxOl0EgwGGR0dRaPRAPdDGtevX2dmZoZarUaxWJRhDQWFbjqdzjbj0m636XQ66PV6fD4fdrsdm81GvV6XrykWi5w8eVJ6LqVSiUgkwuLiIpVKhWQySa1W24/LkSjGRUHhCdFoNFitVsxmM6dOnWJ4eJgXX3yRP/qjP8JgMMh4+J//+Z+TSCQoFApUKhXFuChsQ+ROHvx/rVaLdruNXq8nEAigVqtxOp3o9Xr5ulqtRjabpdFoUC6XqdfrXLlyhX/8x38klUpRLBYV46Lw9Hi9XrxeL1qtFqPRiFqtplQqUavVKBQKJBKJx36gWSwWHA4Her1ebuRarUatVqNUKhGPx2UCsZdc7/3AZDIxODiIw+FgdHSUoaEh/H4/RqMRvV5Pp9NBo9EQDAaZmpoiGo2SzWapVCrbErMKR5NWq0UmkyEWi2Gz2TCZTJhMJlwuF1qtlmazSavVIp1Os7a2hkajIRQKYTabsVgsWCwWtFotZrOZZrMpfyYYDDI+Po7dbicajdJqtajVajQajX25TsW4HFBUKhWvvvoqf/Inf4LD4WBoaAiNRsO9e/fY2triyy+/5O/+7u9kLPbbGBoa4o033iAQCPCd73wHv9/P2toaW1tb3Lt3j7/9278lnU5Tq9VoNpvP+ep6m76+Pv7ZP/tnhMNhpqen5Y2v1Wql4VWr1bzyyiv09fVx8+ZNstksiUSCXC5HtVrd5ytQ2E8qlQo3btxga2uLmzdv4vP5CIVCfPe738XpdNJoNGg2m1y9epVf/vKXaDQazp07h9/v5/jx4xw7dkx6zyqVSh74TCYTQ0NDbGxsUK1WmZ+fJxqNEo/H9+U6FeNyQFGpVDidTkZGRvB4PIyPj6PVamk0Gmg0GpaXl1GrH7+NyWw2EwqFCIfDTE1NyQemyWQin89jMBjQaDRHWl9JpVKhUqkwm82Ew2GGhoYIhUIEAgH5GmFcxOejUqlIJBJYrVby+bzMySgcXURCvtPpUK1WKRaLNJtNUqmUDKk2m01isRgrKyuo1Wp8Ph/NZlMaIoPBgNVqRa1Wo1ar5X7T6XS0222cTidWq3VbKG2vUYzLAWe3wlQ+n4+zZ8/i9/uxWq3A/bCbwWAgnU7jdDopl8s0Go19c7P3G4fDgdPpZGhoiPHxcQYGBrDZbI98vQhf+P1+wuEwAOVymVKptFdvWaEHEYYjk8mg1+vR6/UsLCywsrKC0WiUOZdoNMry8jIqlYpSqYTJZOLLL78kFAoxODjIe++9h8vlwuVyyb4Zi8WC1WrF6XTicDgwGo37dp2KcTkkiAoT8fWkcX273c7Y2Bhut1tuSLvdjt1uJxAIYLVaMRqNR/bkrVKpsFgs+P1+gsEg4XCYUCj0jT9jMBgwGAy4XC68Xi/VapX19fU9escKvYrIuTzI9evXH/kz0WgUAKvVisVi4ezZsxw7doxOpyPzMBqNBo1Gg8lkwmKxYLfb0Wr37xG/r8ZFnAQFwk3sPhmrVCp0Oh1qtRqbzYbNZkOlUqHRaGg2m6ysrJBKpfbh3e8PorvXYDDgcDiwWq2YTKYj+9DfC7RaLRqNhnA4zOnTpxkfH8dgMDzR7xAhtaOAVqtFrVZjtVpxu92y4ESv1+NyuXA6nbRaLarVKq1Wi3q9LhPY0WiUer0uQ0UK22k2mzKUlslk5IGnF9k346JSqejr6+PEiRPypmu1WrJ0s/t1VqsVg8HA+Pg44+Pjss+gXC7zV3/1V0fKuGi1WgKBAA6Hg1AohM/nw2w2o9FojnwV1/NArVZjNBoxGAycPn2aP/7jP8bn82GxWPb7rfUkKpUKvV6PwWBgcHCQc+fOYbVaCQaDWK1WTp06xYkTJ6hWqyQSCVlSWy6XuXnzJr/97W/JZrOsrKwoxmUHqtUqtVqNVCrF+vo6nU6HgYGB/X5bO7LnxkWtVmMymdDr9fj9fvr7+2XiudVqYTQapcwB3O8psFgs6PV6+vv7CQaDaLVadDodpVIJp9MpS/K6m4wOKyqVCoPBgMlkwmg0Sm0iUTWisLvodDoCgQA2m41gMIjH48Futz+RpyhCFWazWXrhh6WkW+w/tVotiz7sdjtGo5GBgQH6+/uxWCwEAgH5T5/PR61WQ6VSUavVMBgMsvFvYGAAi8VCLpeT3z+qOb5HIcLeIvHfq6Xte25cTCYTFy5cIBQK8corr/DGG29sO3XX63V5YhGdq8LNNpvNmM1mubjFYpGZmRkqlQqxWIzl5WVardZeX9KeotFocLlc8kEnKkTUanXPbrKDiEqlQq1W4/f7+bf/9t9y8uRJ+bD8JrHBnbDb7Zw5cwa/38/GxgapVIpGo3EoSpIDgQD9/f04nU4mJiawWq0MDg7i8XjkPhWejDA8cN8oeTwe2u02Ho+HVqtFX18fZ86cIRaL8ctf/pK1tTUWFxdZWVnZ34tUeCr23LgIyYyxsTGOHTvGyZMn5Umumwf/u/tkLlRCzWYzfr8fv99PqVQ6EjFt4fmJDnFx03ZzGE7EvYAoOz558iSvvfYaRqPxqapvDAYDHo+HZrMpq3oOw0FA5FWCwSA+n4/p6WmcTifj4+MEg0HMZjMOh0Pel933p9jH3XvV6XTS399PJBJhZmaGVqtFLBZTvPIDyr4Yl4GBASYmJvB6vahUKlqtFoVCgVqtxvr6+o5NP2Izigfr0NCQLL1zOByYzeYjYVwMBgNTU1NMT08zMDCw7ZpbrRaLi4tcuXKFxcXFZ45ZN5tNms2mbJwUFWlHhU6nQ7lcZmZmBoCJiQnGx8efeJ81Gg3y+Ty5XI5KpUKr1TrQHrYIUdvtdl555RVeffVVbDYboVAIo9GIx+ORPRZPslaiUMdqtUpPr1AosLGxQb1ep1KpHKn9d9DZN+Ny7NgxfD4farWaer1ONpsln8/zxRdfcPfu3R1/1uv14vF4ZHhCr9djtVqPnHE5ceIEr7zyCn6/f1ujZLPZZGFhgU8++YR0Ov3MxqVer0sJGCFJcVRubhF6LZVK3Lhxg2w2i8FgYGxs7KmMSzabJZPJUK1WezpO/jjo9XomJibo7+/nu9/9Lj/5yU9kyetOXsrjIirqbDYb586dY3JykqWlJa5duyZljQ6yUT5q7LlxEV5KOp2WN2+xWGR1dZV8Ps/i4iKbm5s7/qwov1Or1TQaDbRaLXq9XiZKjwKdTodarSZLtrsVVUWljtlsplAoPNENLtRV4f68Cb1eT6vVolKpHEnjAttP0g6HA4PB8NCaihyhKDIRPwdfN7iKZHUikZCey0E0LjqdTmpgDQ0NMTo6is/nkzk/2B6SFSKM3WXH3a0GYu+K0nqdTic18kTIzO/3MzQ0RCqVolwuSwNzlPZhNyIXKD4L0XumUqmo1+tUq1VyuRzpdJpkMrmveb09Ny71ep35+Xng/gOtUqmQTqe5ceMGxWKRXC634+AbcaNrNBpef/11fvKTn8hO1GAwiMPheCK5k4OKKNdeX1+XMiQClUqF2+1mYGCAZrPJ8vLyY//eZDLJtWvX6Ovrw+PxYDabKZVKJJNJeeKu1+sH8qH4NAgDYTAYGB0d5dSpU9tkXuBrGY9CoYDVasXlcqFWq+XNLh6s6XSa69evs76+TiwW23e12qfFbrczMjJCKBTi/fff58yZM9hstkfed41Gg1KpRKVSYXNzk0KhQDQaJRqNSuOg0+mYnJyUBSrhcFgm/s1mM+fPn6fT6bC4uEixWJRzTI5qBZlOp8NgMGCz2fB6vfh8PkwmE4AMIS4tLXH9+nVu37792NqCz4N98Vzy+bzsZ8nn86RSKVZXVykUCjQajW90fVUqFdlsVr5Go9Gg1+v3tRN1LxAhA1H88KjTmzjRPKknJ06VtVptW+GE+DpqiCpFvV6PzWaTUhoPzt2oVquUSiV0Ot1Dn4coPBG9HNlsdtv6HjREYYLP5yMQCBAIBLYVk4g9KbzcSqVCPp+nUqmQSCTIZrNsbW2xtbW1zbg4HA651u12e5uBdjqdhEIhCoUCdrudRqNBvV4/ssZFPO8MBoPU/hOfQbPZlPJChUKBQqGwr/funj+Rq9UqV69eZX5+nnq9LuP6wrB802IIHR6z2SxPS0chzwL3S7jdbjehUIhjx45x4sQJWRAhEO6yqCJ7krVxOp1MTU3Jk5C4sQ0GAxsbG1L+pRfHqT4PHA4H4XBYFp+Mj4/LxknxAK3VaqytrbG2tsbY2Jh82Ip1L5VK5PN5YrEYkUiERCJxoMuPh4eH+bM/+zOCwSD9/f3brrVWq5FOp6lUKty9e5eNjQ0ymYwcxRuLxSiVSg9pq2k0GmZmZrDb7XznO98hGAzKijq1Wk1/fz9Wq5VAIIBKpSIWi/HRRx8xNze3X8uwrzidTvr6+hgZGWFiYoJQKCT17cQhJp/P90T4cF/CYk9bt94tI3GU5DTg/qnR7XbL0MHg4OCOiqfdPQVPgtVqJRwO4/F4pLSJ6CtyOp1y3Y9C6BHuX3tfXx/hcJi+vr6HlI+FbEkymWR9fR23271tT4rcWD6fl5ViuVxuvy5nV/D7/bz22mv4/X4sFstDxSTiOm/evMmtW7eIxWIsLS1RrVbJZDI7NjmrVCoWFhakV1SpVGQkQqVS4fF48Hg8chJjJBLh2rVre3nZPYPIT3V7jsFgEECqKQsD3mw2991DPjCxJJVKhd/vZ3h4mOHh4R3DEIcRcaOFw2FefvllQqEQHo9HNpYC8mSYy+W4d+8ed+7cIRKJPJFLLHJaQr77qKLX69FoNPT19XH27FnC4fBDyselUonl5WWKxSL1eh2HwyG9PUGn0yEajXLnzh1WVlYOtHqE2Gs6nW7bHul0OrIKLplMcvXqVdLpNLdu3WJ1dZVcLkexWPzGiITwAgFSqRSLi4t4PB6Gh4elOrcoVPF6vTQaDZljOCqIfiKDwcCxY8d46aWXGB0dfWgd0uk0d+7cYWNjY19zLYIDZVzGxsZ4++23GR0dxWw2A4e7YVA08VksFqanp/n5z3+Oz+djaGhoWzNfPp/n2rVrRKNRLl68yOeff06z2XyiuLR4eAgpmaOISqWSMi3Hjh3jJz/5ifQWu0mn01y+fJl8Po/f7ycQCGC32x/Kx8zPz/Ob3/xGDm86qAhvWFQmdR9Atra2mJmZYWFhgV/84hfE43GKxSLValXm675N6qZWq1Gv11lfX+eLL76QBygxDAvue5KDg4MYDIYjp+um0+nw+/04nU7eeOMNfvazn2GxWB469GxubvLb3/6WZDJJNpvdnzfbxYExLvB13kFUqAhXsFKpHNoEX7vdlrFTEXZ58OEvEnnFYpFSqUS1Wj3URvd5IU6IYkaGw+HYUba8u8RWNPLulOOqVCpkMhmKxeKBLYoQXoPJZJLh1m7jUqvVyOVyMvyXz+dlL8/jIjwjkVPtLm3upttYHSU0Gg0Oh0NK6oiyePEMFGEwEXotFos90Q90YIyLiL+Oj4/j9XplZUk0GmV+fp5YLNYTC7qbiI1Tq9WIRCLMz89TKBTw+XzbTi1iip3ooziKN+CzIh5uQrX3zJkzhMNhzGbzQ7ktUeGk1+sZGBigr6/vIc+l0+mQSqVYWFggn88f2MOPWq3G4/EQDAYJBoNSdFaExdLpNAsLC6yvr8vKsCcxpGq1Wg67mpyc5KWXXpJeC3zdC1OpVIhEIkSj0SNTVCIwGo2cOnWK0dFRJiYmZHWd6PebnZ1lY2ODa9eusbGxQalU6okw7IEyLkajUY7vVKvVtFotSqWSlOw+jAgJlnK5TC6Xw2KxPHQqFGXElUqlJxJ5B43uxjQRdhQqvjvNbRF7Ee43nNrt9h1zLpVKhWw2e+BlS8RIXZPJJB9qwriISk/Re/I4B7zupl+tVis1yNxuN8FgELvdvq2UXuRlisWizOEcBUSUQuSbQqGQrOAUa9hut6X8fndIshfoeeMiOqRNJhNerxev14tOp5Pu38rKCrOzsySTyUPnucDXg6rEDdgdphEhM/EQE30UCk+GxWJheHgYp9PJCy+8wEsvvYTX630oHFYulymXy3Q6HTkFUMx2EbmqRqNBKpWiWCySSqWoVCoHuvm03W6TSCSo1+uMj49TKpXQ6/Wy58fr9TI1NYVer+fatWuUy+VvVCAQEk4Wi4VQKITZbGZ4eFj+HlGZ+GC1Yzab5erVq2xubkolicOKWq1GrVYTDAaZmJggGAxy4cIFRkZGZHWYqAwrFArcunVr1/QEd5OeNy5qtVo+VMXGbDQaZDIZUqmUNC7f1iNzUBHNZUKg02azyYeeKIcVkg/ZbLYn3OGDhsVikT0D586d46WXXgIe7qEql8uk02lMJhOTk5M7Fj80Gg1isRipVEoal4PsTXY6HRKJBMlkkq2tLcrlsjSmOp1OGoV2uy3nLtVqtR3vRRHanpiYIBAIcPbsWdlftZOKcjfCuKyvrx/64YCiiTQcDvPWW28RCoV48cUXt82+qtfr5HI5UqkUt27d4pNPPpGGvVfYV+MiVI6FewzbtZrECWloaAin04nH45EnGqGOPDg4yPHjx6XumEjwi9+h1WpptVryRC88gYMwXEyEX8RN5/V6cbvdMgeQyWSIxWKsrq4SjUb3XUvooCEqoLxeL+Pj4zLs0P1wq9frbG1tUSwWicVixGIxAoEATqfzoVyMCN+k02kZojgs+a9Op0O9XqdQKGwbVGc2m/F6vQwMDPDCCy8wNDQkh1jtxMjICIODg7hcLgYHB6Vum8jlPPg3RSVZNpsllUo9sl/mMCEkXsQaBQIBTCbTtiKHWq3GxsYGiURimzxTL7GvxsXn8zE4OCgrblQqFYlEgmKxiNVqxefzSfltMS9CxLpNJhN2u50f/vCHTExMsLq6yszMDIVCgZWVFYrFIjabDavVSqVSIR6P0+l05EYWVr+Xb3zRJe/3+xkZGWF6eloal06nw+zsLL/73e9YXV3lypUrpNPpnttgvYwYZnXixAnef/99+vv7t5Udt9ttMpkM//AP/8DCwgIrKyusrq7y0ksvMTExsa2RUFSQFYtF7t69y9LSEltbW1Jc9DBQKpVYW1ujXq9jsVikYXY6nYyMjHD8+HEZQXiU5yJyVELGRBRSiG7/B/NWmUyGeDzO4uIic3NzRCKRQx36FRWLNpuNiYkJ3n33XZxOpzyEC7XuZDLJxYsX2djYYHFxkWw223PTTffdcxEd4aLaRqPRkMvlcDgc+Hw+7Ha7FLWz2Wwy+So8GK/XK0ehJpNJaTjUajVutxuHw0GpVJKJcaG71etaZBqNBq1Wi9VqlRMnhQQLfH2qE7kncXIRPycQm7HT6cgy0p0QN/pOIQmVSrVtnO1hwWg04nK5cLvdMuQq1lfks2q1GtFolLW1NSKRCOl0mnw+/1D4od1uSymjTCZDOp2mVCr11M3+rAgPwmQyUa/X6XQ6Ug1alBCLsvlHXbeIVgi+bX1EwUCxWKRcLsv+mcOK6LWy2+04HA6cTudDlaHCg4zH4yQSCUql0q6Fw4Q4sPgMu58fT8q+PWFVKhUjIyN873vfw263Ew6HMRgMUpJbyG/rdDrcbrc0QPB1eaJGo5EjVYeGhjhx4gTFYlGW7A4MDBAKhSiVSkQiEfL5PJ999hnLy8s9fdMLKQybzcZ7773HhQsXGBwcfGgKos1mk6rIw8PDsqnP4XDIh6PIT9XrddkQuJMBOXPmjOwCftCA2Gw2JicnpVJyPp9/fhe/R4j99+677zI0NITL5dqWSK5Wq1Jo8c6dO9y4cYPBwUHeeecdpqenH5I/yefzRCIRVlZW+MMf/sC9e/cOXW5ga2uLDz/8kFAohNvtlr0vQibfaDR+6+n5SQ51QuXg1q1bLC8vPzKXc5jQ6XScP3+ec+fOcfr06Yeq5paXl5mfn2dubo7Lly8Tj8dJJpO78rfVajUDAwOEw+Ftkj0id/ik7KtxEaEut9vN+Pi47Lp/HISBcbvduFwu+vr6GB0dpVwu4/F4KJVKjI+PMzIyIo1LMplkaWnpiaTo9wMhOe7xeJienub111/HbDY/dGOK0uxKpSJP3aOjowQCAalMW6vV2NzcpFQqMTg4SH9//47GZWBgAIPBIDWdujEYDPJ3Ps2Y315EVDodP36cQCDw0Po2Gg0p8b65ucna2hrj4+NMTU0xNDT0UH5AKP8KPa2FhYW9vqTnTjabZWZmRhbTVKtVaYyFd/tNhuVJlR86nQ65XE7mFnqpEup5odFoGBoa4vz583L8gKDT6ZBMJpmdnWVubo6FhYVdrZwTBRcjIyMUi0VUKhXVapVCoXCwjEun02F9fZ3PPvuMQCBAu93GbrfLngFx6gZkPNZoNGIwGLa5aqLMU61Wo9VqMZlMBINBqtUqFouFVqslH7T7rRL6uDidTr7zne8QDoelGu+DI2OFYZ2cnMTn86HX66lWqwSDQZxOp5R7FwnmWq0mS7l3usnD4bD0FB/8vsPh4PTp0/T392M2m9na2pLfE7LzzWZzm/JvJpPpyVOmCDsYDAaZiHY4HPKEKE7eyWSSmzdvsra2RrFYBJCjfIW2GyD3YSKR4ObNm6yvr29T/T1MiJCfVqvlq6++olwuMzAwIEVULRbLtj6YR9Et7rnT69rttpTWX19f5+bNm8RisUOdT3S73Zw5cwav18vp06cJhUJyPpBoki6Xy9y5c4erV68SjUZl7sloNKLVajEYDHJviyIAi8Xy2FpsarWasbEx+vv7yefzbGxskM1m5ZytJ2Vfjcvdu3fJZrMMDg7SbDalMKXf76dWq0nrKRJ+IjzWPTNCjD8Vi6jX6xkaGpIGqNFobPsSxqWX9bP8fj8///nPmZqakiOc4eH3HA6HCQaDNBoNXnrpJVqtliwTha/zLUJ+22g0PtLzELHWndbF6/Xyzjvv0Gw2eeutt7Y1rIq+jnK5zCeffMKXX34p+zx6MfGq0Whk/mp4eFj2aIg1Ez0aGxsb/Pa3v5V5lm6FCLfbLV8vDPja2hoff/wxsVisJ3SdngdiKmmhUODXv/41t27d4sKFC7z66qvY7Xb6+/vlRMlHqXI/eEDa6bAnGlBLpRJ3797lo48+kut8WAmFQvzLf/kvGR4eZnBwEJ/PJytbhVBqPB7ns88+4//9v/9HvV6nUqmgVquxWCxYLBZZ/ON2u3nllVfw+XyEQiH8fv9jvQe1Wi2LoLLZLCsrK0QiEebm5p5KyX5fs9pi/oDZbGZtbY1yuUy73aZQKFCtVuWJUYRrxMOz0WhISY1kMimry4SlFxtWlEQWi0Wi0SiZTEb2gvTyRtVqtVgsFux2+0MeSzei2Upcc6fTkQ/K7oScSNB1P0SfBI1GIx8a7XZ7W9Jb9HAYjUZCoRDDw8NoNJqeDQtptVp8Ph9erxeXyyWLO8SDTswYyufzxONxcrmcDD/abLZtOmLtdlsmmkVfS6FQ6Om99ayIA1s2m0WtVstqJZHnE82V3+a5iBES4gHanb8SVXe5XE5KmfSiF/wsCO9OiIK63W75JQ6I3aoE4kv0FjWbTdrttjz0mM1mqXAgZr6ISIXb7X7o74v1FJGdfD4vD+wi35hKpchms0+tiLCvxkWcbjOZDFtbWxgMBpxOJ2azmXq9vs246HQ6fvazn/HHf/zHZLNZbt++TTab5fr166yurmKz2XC5XNs2tfBWSqUS0WiUarUq+w96ubFNzBA3m82P5WFpNBr5wBebtjv0IBKtT1vpJfqQOp0OdrtdlpqKUKPBYKDZbOJ0Onn11Ve5dOkSN27c6ElJHpvNxo9+9CNOnz7N8ePHt1XAiRLPVCrF7Ows165do9VqMTo6isvlYnp6mkAgIBP/jUaD27dvs7S0xBdffMHc3JwUDj3M1Ot1lpaWWF9fZ2lpid/85jeyGdJkMsnD4TcxPj4uVb5Fe4CgUqlw7969h0YiHxbE/a3T6RgcHGRoaIhjx44xOjpKX1+f/F4mk2FxcZFSqSQn9U5NTTE1NQUg72lhkFwuF4FAQI5BFlV8D+YHxf1brVYpl8tks1k++ugjotGofE0+n2dzc5Niscjq6upTXee+Ghfh6lYqFXK5nByGYzAYqNVqMnZtMBjQ6/VcuHBBjk7d2toikUhw9+5dFhYWsFqtDzXACc9FGJeDcqIUlXAitLDT+Nydfka8dqebUZzMH3WjPuq0KV4v/ik8pe6Tkzj5+3w+fD4fc3NzTzysbC8QJ8WBgQGOHTuGz+fbUclYqPsWCgUprNjX1ycrpLpDYqlUio2NDTlPpxdDgbuN8NjgfiMvIPN8JpNJKkE/CuH15fN57Hb7Q7nQVqtFNpslkUj05AHlWRBtFAaDQXos4XCYQCCAzWbDbDZvkxLK5/MUi0UpIxQIBPD7/fJAJIyLGOoXDAYfeYjsLinu9tRLpRLr6+usr69L76VQKMieoqfNIfZUs4fo3RCumgjpdMcUnU6nHNIk4rLlcll25j84U0MUBhw0t1o87B80BrVajYWFBXlT79aprruhVRgL8YAtl8skEolttfT5fF7mWjY2NuRDQKVSsbS0RKFQ2JX3tVuYTCYcDgd9fX34fD4ZSnhwv2QyGTY2NvD5fPybf/Nv0Ov1sqJxeHhYjnpeWVkhm81y+fJlrl69SiQSOTCHl+dBpVJhbW0NrVb7jd3iFosFs9ks9fJ2qoKsVCqyaTKRSBwaz8Xr9TI6OipL+91uN/39/VKxQKgdiz3pcDiYmJig0WgwPDxMvV7HarXKhnP4ukBFtG48KtKRyWSYnZ2lUqnI5+X6+joLCwtks1nu3btHPp+XXo2IHHUXVj0pPWVc4OtQlkAkrEQlmagmq9VqsqmqUqnIE+dhp1arMTs7y9ramkzY7wZTU1My8Se8DnF6SafTzM/Pbwt1RCIR1tbWSKfT3LhxY1sSu9c6hQHZTS7yLd1JeUG73SabzRKJRAiFQrz55pvbBBbFjZvL5VheXiYajfLll1/y+eefyxDhUUXIkXwTwiMXVWWiofJBL1eMQr979+6u9XD0Am63m7Nnz+L3+3njjTfkWHHhQT9oGGw2m2yg/KZCpAf/3073nkghpNNpmcu6c+cOly9fls/b3b5ne864PEgvV3U9LwqFAl999RWZTOahD7xYLHLr1i0ikYiUHNkN7HY71WoVrVZLu91Go9FIoUYxM6c71JHNZonFYjJv1queoUgY+/1+zp07Rzgcxul07qhWoFar8Xq9UqVXDGUSp8larUatViORSLC0tEQ0GiWbzX6jCrDCdlwuFyMjI4RCITl8TNzj5XKZQqFALBaTSggHPcyoUqlwOByyOvHYsWMy0W6z2WQD6uP8np0QvUDicC3U4UXYWhCJRLhz5w6FQoFCoSCbI59ne0bPG5ejyMbGBv/tv/03OTCpm3q9zsbGhgw77ebGeOutt9BqtXLDJxIJ5ufnmZ+f5+///u+3eSfdG7hX+w9EyMBkMnHmzBn+3b/7d/h8Pvr6+naswtPpdJw8eZLJyUkpayJO24DUubp79y4ffPABkUiE9fX1IzNf5FlRqVRMTEzwwx/+kIGBAVwu17bZJMlkkpmZGVZWVpifn2d1dbVn99bjotFoGB8fZ3x8nPPnz/Onf/qn2Gy2bbNxnoVms8ni4iIbGxvMzMzw6aefUi6XHxpQJ6SiRE5FVP09T2/7wBoXkVg+jAg9qwerPOD+Zkomk7ue6BSjUrtPO6IsUXSqH8T+DRGLttvtBAIBqWX3qJPgg71AIg8omlGj0SjxeFwq9B70k/VeolKpsFqt+P1+XC7XQ2oQogRcVJv1skf8uIhrFtp1LpcLq9X62BGZ7pYCkYAX3oboYYtGo0QiEba2tmQTbz6f32aYxXiOvVTpPpDGpTvJ3+sClE9Do9EgnU7vaDzFw263EZv1oKgYPA4izBUKhQiHw9jt9h0TyI+i0+lQKBS4cuWK1Li6desW2WyWpaUl2VSo8HioVCo5m0SoKndTKpXY2toiFotRqVQOxV7UaDSMjIxw4cIFKRv0uIal0WjIGS1Cc1HoiglDXKlUmJ2dJRKJyFB1s9l8qIjpWQQon5YD+WQWJaWic/+w0W6397wEcz823/Om+9TocDgwGo07eoOPQhjypaUlFhcX+eKLL7hy5YosoT9Ma7VXOJ1OBgcHdyyzFwOwREjnMKyvkGkaGhrC5/M90fOq0WhIxfdCoUCtVmNxcZEvv/yScrlMPB6nUqmwtLTUk4UPPW9cRLduq9WSHfa7KTGtcJ9IJMInn3xCKBTi9ddf3zbX5KCiUqlkOMzhcHxj/b+Qcs/n8zIUKBoqv/jiC9bX19na2pKhw8Pw4NsrhOSO2WyWecTuvivReLq2tsbt27cPVX9Lq9Vifn6eixcvMjk5Kce0p9NpWUAjxmSYTCapBJ3JZCgUCiQSCWq1GslkkkqlwvLyMisrK3KPNpvNnm3aPRDGpXuh4/E42Wz2SPcUPA/W1tb4x3/8R0ZGRpiamjo0xkVM83uUYCcgG22r1Srr6+skk0mZIE2n01y+fJlYLKZUhT0lOp1OzmTqVtEQBiaTycg+jM8+++yxOvwPCs1mk2vXrrG2tsZbb73FqVOn0Ov13Llzh3Q6jdFolEUnXq+XTqfD559/ztzcHMlkktXVVcrlMuvr6/KQLQ434oDTq3uy540LfB2yEafJSqWCxWKhXq8/lVaWwsMIpQTxJRqtDjrihLfTw0rkmMrlMpFIhGKxKAUChfRINps9NGuxX2g0GinPJCYqwtf3dS6Xk4dGEQY6LJ5hp9ORsvXRaJR79+6h1Wrl9EgxD8dgMMjJuCsrK2xtbUmjW6lUZJf+QeJAGBe4/yGtrq5y6dIlPB4Pk5OTNBoNLl68uN9v7VAg3OtCoSB13g56U2qr1WJ9fR0As9n8kLcrFB7W19f51a9+RTQa5c6dO2xsbEgFCCEeqPD0GAwGJicnGR0dJRgMAl/nWur1Ojdv3uT69evMzMzI8Q2Hybhks1nZX3L79m0AeZ3dVa8iHyg8t2azKSvmDmJJ9oEyLuVymWQyidFoxGq10ul0MBgM+/3WDgWi7l3Uw2cyGVmpclBv9E6nQ7FYlOqulUplW0JflGym02nW1tbY3NyUgowKu4cYfie02boRea5oNEoulzvQ++1RCNURIZx7VDgwxkXh+VIqldjc3CSXy/E3f/M3Uoiw0+mwtbV1IMNCnU5HJk5/97vfkc/ntx1GRAhGaCuJfh6F3UWMORDl4A/SXRV12AzLUeZAGZcHG4qUjbh7iFxLPB5nfX0djUYjFVhzudyBNS5C4TgajfKHP/zhG1+r8HzQaDS4XC78fv820UVADv7r9RlLCk/OgTIulUqFVCqFzWaTcu8Ku4vQKxNhyHQ6TaVS6dmKlCdBMSD7Q6vVIpfLkUqlZEUUIHMK2WyWeDxOoVBQPqNDxIExLiLEsbi4KIdTPUlDnMLjIxR+hcSJOF0qKDwN9XqdtbU19Hq9LMYRVXqFQoGVlRVu37793LWuFPaWA2Nc4P4mLZfLcnBO90hjhd3nqMvIK+wOwnMRbQSiBLnRaFCv16nVarKJVeHwcKCMixgS5na7iUajmEymA1f7raBw1CiVSly+fJnbt28zODjIO++8Q71eJ5lMbhs7rnC4OFDGpV6vS8G2fD4vE4EKCgq9i5h6qNVqZaOg6B8qFAqHqq9F4WsOlHERZDIZLl26hF6vJxqN7vfbUVBQeAza7Taff/45//W//lfq9TqJRIJiscjq6up+vzWF54Cq85hHhl6qzFKpVFI2fT/0np7mlNVL67ffKOv3bDztKb8X1lCr1cp7V7QTPDhHaC9Q9uCz8TjrdyCNy36jbMxnQ1m/Z+MgG5deQdmDz8auGhcFBQUFBYXH5XDOCVZQUFBQ2FcU46KgoKCgsOsoxkVBQUFBYddRjIuCgoKCwq6jGBcFBQUFhV1HMS4KCgoKCruOYlwUFBQUFHYdxbgoKCgoKOw6inFRUFBQUNh1FOOioKCgoLDrKMZFQUFBQWHXUYyLgoKCgsKuoxgXBQUFBYVd57GHhSly01+jyHU/G8r6PRuK5P6zo+zBZ+Nx1k/xXBQUFBQUdh3FuCgoKCgo7DqKcVFQUFBQ2HUU46KgoKCgsOsoxkVBQUFBYddRjIuCgoKCwq7z2KXICgoKu8ejylqftsxYQaHXUIyLgsJzRKVSYTQacbvd6HQ67HY7RqMRp9OJx+NBr9djNBpRqVTMzs6ytrZGqVQikUjQarX2++0rKDw1inFRUHhOqFQqVCoVFouFgYEBbDYbg4ODuFwuRkZGOHnyJCaTCbfbjUql4u/+7u/46KOPiMViZDIZxbgoHGj21biYzWasVqu8CXei0+nQaDRot9tUq1Wq1eoev8vDg0ajQavVotPpsFqtaLVarFYrBoMBjUaDTqfb8ec6nQ7tdptms0k0GqVQKNBoNKjX63t8Bb2NWq1Gq9XicDjQ6/WYTCYsFgsul4vx8XFMJhNWqxWj0Ui73SaVSqHVakmn07Tbbba2tsjlcpTL5UMdHlOpVJhMJrxeL3q9Xu5BQavVolgs0mg0SKfTZLPZQ70ehxVV5zE/td2WPlCpVBw7doyTJ0/Kh95Of6PZbJLJZKhWq6ysrLC6urqr7+NpOKjSETabDZvNhs/n4/Tp0zidTk6ePEkoFMJms+FyuVCr1Q9dX6vVol6vk8vl+Iu/+Au+/PJL0uk0sVjsqdbioK7fNyH2sNPp5NVXXyUQCDA2Nsbw8DAOh4OhoSEA5ufnSSQSRKNRGQLb2NigVCoRj8dJpVI0m02q1eoj1+kgy7+IdRoZGeH9998nEAhw4sQJwuGwfH/FYpFbt26RTCb56KOPuHTpEq1Wa1c9ucO4B/eSx1m/5+65aDQa1Go1KpUKtVq97f95vV76+vrkaXqnD69er2MwGCiXy+RyOdLptNxonU6HVqtFu91WTjaPgV6vx2w243A4CIVCeDwexsfHGRoawm634/F45GfUvZ6tVotqtUomkyEUCuF2u6nVaqhUqiO97iqVCo1GI70+g8GAw+Ggr6+PUCjEyMgI4+PjWK1W/H4/rVaL9fV1AMrlMpFIhHw+z+LiIoVCgUqlcug9c51Oh9FoxOFwMDg4SDgc5vjx4wwODsr7P5/PU6lUsNlsMlelUqmU+/yA8VyNi0ajYWRkhHA4jNVqxefzYTKZ6Ovrw2q1EgwGCYVCqNVqNBrNjr+j3W5TLpep1+ukUinS6TSZTIb5+XkKhQLz8/PE43FqtRqVSuV5Xs6BRqVS0dfXx8mTJxkcHOS73/0uHo8Hn8+HzWZDr9cDO59IVCoVer0eh8PBe++9x+TkJB9//DEbGxvUarW9vpR9R61Wo9frMRgMHD9+nL6+PrxeL/39/djtdk6cOIHT6cRut2OxWEilUvzyl78km83y1VdfsbGxQS6XI5lMUqvVyOVyNBoNms3mfl/ac0OtVqNWqzlx4gSnT59mZGSECxcu4PF4cLlcwNd7z2AwMDExQTAYZGFhgfX1dbLZLEtLS0oo9gDxXI2LWq0mHA4zPT2Nz+djbGwMu93O9PQ0Ho8Hg8GA2Wz+VndTeCf1ep1arcbW1ha///3vSSQSlMtlSqUSwDeGEo46KpUKr9fLxMQEY2NjnD9/Xt7U3TzKuGi1WiwWC+fPn2d6eppYLPbIA8FhR61Wo9PpMJvNTE5OcvLkSQYGBpiensZisdDX14fJZJJ5qc3NTT777DMikQjXrl1jc3OTdrtNu93e70vZM4SXNzw8zJtvvkkoFGJqagqr1Qps33c6nY5QKESz2WRsbIyRkREikQhra2uKcTlAPHfj4vV6GRsbw2AwoFKpqNfrJJNJqtUqOp0OvV5Ps9mkXC7L8Eur1cJiseB0OrflY4xGoww9TE5O4na7mZubIxKJ0Gq1yOfzinF5AJPJxLFjx/B6vZw/f54TJ04QCASkp/IgzWaTXC5HrVbDYDCg1+vRaDSYTCb5mm8qwDhsqFQqdDodGo0Gq9WKxWLBbrczODiIzWbj/PnzjI6O4nK5MJvNtFot7t27R71eJ5PJkMvlWF1dZXFxkXQ6TalUOnLhHZPJxNjYGE6nkxMnTjA8PIzb7Uar/ebHj0qlIhAIcPLkSXQ6HdevX6dcLu/Ru+5NrFYrNptNFkSIvalWq2XBk16vJxgMYjQa2draIpFIUCwWicVie+odP/ew2NjYGK+++iqFQoF4PE65XGZxcXHbw6lcLrOxsUGlUiGTyVAsFhkYGODEiROYTCZcLhcGg4GhoSFcLhcmkwmfz0cul2Nubo6trS2azSaJROJ5Xs6BxOVy8fOf/5zTp08zNDTE4OCgzA/sRK1WY3l5mVwuh9PpxOFwYDabpZER4Y2jYlzUarWsZhoaGmJ4eJj+/n7eeustPB4PAwMDuN1ums0mtVqNRCLBr3/9a2lQlpaWqFarpNNpms0mzWbzyHksdrud7373u0xOTnL27FlOnz6NTqf7VuOiVquZnJzE4XBgs9n48MMP9+hd9yYqlQq/38/IyAjBYJALFy5IQ6PT6chkMkQiERwOB++88w4+n4/f/va3XLp0idXVVS5dukSxWNyz9/tcjUun06FcLpPNZsnlciQSCZrN5kOntlKpxNbWlnxtuVxGrVbjcDgwmUyUSiWMRiMWi0Um+ERIzWQyYTKZpGekcB+RZDabzXi9XgKBAC6XC4vFss3zqNfrNJtNGo0GlUqFYrEocwKlUolisYjL5cJut6PX6+l0OjIHY7PZZGis0+lQq9VoNBr7edm7gggDiryKyBEODg7S399POBwmEAjgcDjQarXU63UKhQKZTIZYLEYkEiEajRKLxUilUtTrdarV6pEyKnA/vGUymXA4HPj9fvr6+nA6nZhMpm33arVapdlsylJusf4qlQqDwYDdbpcl3DqdTobJDzsajQa9Xi9bBvR6PYODgwwMDODz+fB6vfLgo9VqZTGOw+HA6/XidrsxGAz75ik/V+NSr9f5zW9+w927d6lWq+RyOTqdzo6lrpVKhXa7LRObi4uLXLt2Da1Wi9FoxGg08tZbb/Gd73wHr9fL1NQUarUat9tNf38/pVJJMS5dOJ1OBgYGGB4eZmJigpGREYxGo9yAcD8Etr6+TjKZZHFxkRs3bpDP55mfn6dUKmGz2bBYLExPT/Mv/sW/wOPxyFPSwMAAb775psxziXDQysrK/l30LiBu0mAwyNjYGH6/n/fee08m6202m+ywb7fb3Lt3j0gkwvz8PF9++SX5fJ719XVKpRKlUknu66PwMHwQEdLq7+/ntddeY3JyUva1CRqNBvPz80QiEaxWKx6PB6PRSCAQwGg0YjKZUKvV+Hw++vv7AUgkEjLPephxu90MDQ3h8/n43ve+R39/Py6XC5fLta3/T3z19/fLEKLBYKBYLLK0tMQXX3whQ917yXM1Lq1Wi9XVVSKRCI1G46lOb+KULJJ84+Pj8neLZiy73f7QaeioYzQa5enG5XLhdDofWp9Op0M+nyeRSLC8vMzVq1fJ5XKsrKxQKpWwWCyYzWbUajXZbFZ6iGq1GrvdzsDAgDQuzWaTra2tfbra3UOcnm02m/RSXnjhBcbHx9HpdOh0OnljVyoVUqkUS0tLzMzM8Omnn8pyYqW7/n5+oL+/n4GBAUKhEMFg8KHXtNtt0uk0GxsbuN1umdvyer0AsrHXbDZjs9mwWq1ks9m9vIx9QTzbAoEA/f39vPjii0xOTspIjYgw1Go1arUa7XZbrrdKpZL5FxEq2489+dz7XBqNhjzZPm3DnUhCxWIx7ty5Q6PR4IUXXpCVOceOHSORSGw7lR91fD4fFy5cIBwO43A4toXChNpBuVzm1q1b3Lx5k5WVFdbW1qhUKlQqFVqtFo1Gg1qtRrVa3daDodfrGR4e5t1335U9R7VajWg0ys2bN/fzsp8JrVbL6Oio3FNvvvkmbrdbPugymQyFQoFsNsvs7Cz5fJ5r166xtrYmw7pHLafyIGq1Go/Hg81m4+TJk7z55pv4fD6cTueOr280Gty+fZvPPvuMQCDA8PAwPp8Pj8eDxWKRYVej0Yjdbsdutz9SSeIwoNFoGB8fJxAIMDExwauvvorL5SIUCqHT6VhcXGR1dZVMJsPs7Cy1Wg23243VapXFEo1Gg8XFRVKplNyX4jm8lzx34yKSmM+CiLFGIhFmZmZknNtutxMOh9HpdCwtLSnGpYtAIMArr7wicy3dXosIQ2azWW7cuMHHH39MOp1ma2trW3xWlH12GxdRPTU6Osrw8LA8OJTLZT777LMD3VgpbuxTp05x7tw5fvjDH2IymeT+S6fTrKyssLKywq9+9Svp8SWTyR3DvUcRtVqN3+8nHA5z5swZ3n77bex2O2azecfXNxoNbt26xYcffkh/fz/Hjh1jaGiIF154gWAwKAtIhHFxOByH2rhotVqmpqY4e/Ysp06d4nvf+56UC2o2m8zPz/OrX/2KaDTKV199RaPR4OTJk4TDYSwWC2+++Sb1ep25uTnW19elCsShy7nsNuLB130ji85/JSS2HbVajcFg2FH5QJTJJpNJWWwhcgOdTkfe0H6/X54mnU4nFotF3tiib0E0t+bz+UMRBxdhsWq1SiQSQavVynj16uoqq6ursrxTyBIdZU/lQUQhTiAQwOl0YjQatyWbH0Qk7c1mMxqNRoZ5HtVvdVgxGAy43W5sNpusSnS73bRaLUqlErFYjGKxyPLyMpFIhHQ6Lb0Rg8GAzWaTyXtxT4rq3P3iQBkXhcdHo9FgMBhkjqSbQqHAzMwM0WiUhYWFbR6LMEoGg4HXXnuNd955h3A4zMmTJ7FarQ+dGovFIp9//jlbW1usrKwcitO7SqViY2NDGo979+6RTqfZ3NwkGo1Sr9cplUq74pUfNjQaDaOjo1y4cIHJyUlZ0fkowyAOMaOjo6jVaorFIoVC4Uitq2hwfvvtt+nr6+MHP/gBZ86codFokMlkSKVSfPDBB6ytrTEzM8Pdu3flfWYymQiHw0xOTuL1emk0GuRyOe7du8ft27eJRqP7dk8eKOMiPJTu/IFQ7FVOj/cR6yK8D41G89CN3Ww2yWazpNNpKa0jTuwimS2SiYODg/h8PlkKKmi1WjSbTTl7JBqNHvgGN+GNabVaGo0GqVSKQqHAysoKqVSKWCxGLBbb77fZs3QXQ3i9Xpkf6d5/Iuog7mG1Wi1f32w2qdfrj2zwPYx0q5T39fURDofxeDw4HA6pCJ1Kpdjc3GR1dZVEIkGhUECn0+FwOLBarTgcDlwuF0ajURZO5XI5stnsvmrVHSjjYjabZXJQo9HQbrdltVOxWDwUp+ZnQaVSYTabpZss/v1Bz6VYLDI7Oys1mwBZ0u1yuXjllVcIBoNMT08zOTkp+wu62djY4O7du0QiET7++GO2trbY2NjYq0t9LogS5KmpKWKxGCsrK2SzWSKRCPF4XNGu+waEURHqGS+++CJWq3VbH5ToeyuVSuj1eux2OwaDgXfeeYfjx49TKpXIZrPY7XZZRHGYUavVjI6OcuzYMYaHh/nBD36Ax+MBYGZmhtnZWS5dukQmk2FmZoZsNkutVsNisRAKhXjjjTfw+Xy89tprjI+PU61WZa5leXmZ9fV1JSz2OHQ3VIny2E6nQ6VSkSqqR924wP3YrcViwWQyyRLuBz2XarXK5uam7McAZJNgOBzmvffek3kWh8Ox499JpVLMzMywubnJrVu3iMViB/7hq1arcTqd9PX1yQKGUqkk1bgVHo1Go5HzmcLhMKOjo9u+L4xLtVoln8/L2TY6nY6TJ09y8uRJstks8XhcNg0eZoTn5vf7OX36NKOjo5w9exaHw8GtW7dYW1vj1q1b/Pa3vyWXy5HJZKRhEYfsF198kVAoxJkzZxgYGGBpaYmFhQU2NjZkA+9+0vPGRafT4fP5MJvNTE9Pc+7cOcLhMHq9nna7TTweZ2lpiUQiceRDY0KqxO12y258k8n0kMCkTqeTsvkWi4Vqtcrg4CAnTpzA6/XKMFi3t9Jut2m1WmQyGcrlMgsLC9y9e5dkMkmhUKBerx/Y3g6NRiOrkVwuFx6Ph0wmg91up1wuH1mBzifBYrEwOTkpqxO7aTQaxGIxSqUSCwsLLCws4Ha7OXHiBFarVfaptVotue8Oc0WYXq+XTblnzpzhzJkz2O12otEo0WiUK1eucPfuXZaWlsjlctTrdWw2G3a7XVZpDg0NMTY2htfrlZV4ojx5Y2OjJ0Y39LxxMRqNHDt2jFAoxDvvvMP3v/99KQVTKpVYWlriypUrbGxsKMbl/xcKHRoaIhwOy/r3Bz0Xk8nEwMCAjPOKku5jx47JkFq3xyPKIKvVKgsLC0SjUT7//HMuXrxIsVgkm83uSx39biGMrdvtlnHvUqlEIBCg2WweqRzA0+JyuXjjjTdkw2Q31WqVu3fvsrW1xccff8zHH3/M0NAQP/7xj/H7/YyPj+P3+7HZbPj9fpkvPKyYTCbOnz/PyMgIb775Ju+88w6ZTIavvvqKWCzGL37xCy5fvixzUAaDgcHBQRwOB++++y7f+973cLlcjI2NSdWNTqfD1tYWly5dIplMksvl9vsye9e4CLdRr9fj8/no6+uTp3GtViv7K4Ru00F+uO0mIqnaPaTtQfR6vRx5IDSyvF4vNptNJhjVarVskBSGpVwuE4vFWFtbIx6PUywWZefvQV57jUaDxWKR0i5CVFGsocK3I6Zwut3ubYUfgFQsF7OYcrmcTFLXajV0Oh3lchm320273cZgMOB0Oh/yXg7yHutGlGt7vV6pn1goFGTDcrPZlGkAEQYbGBjA5XLh8/nkHhU9ZfV6nXa7TbFYJJfLkc/neyKK0LPGRavVSvXjN954g5MnTzI0NITRaJSxW9FNXiqVlDkPT4DX6+W9996j2WxK0TuDwSB1nMQDVVSclMtl2dfxi1/8guvXr5PP58lms4eiUk+EdILBID6fT4oFKjw+JpOJ8fFxRkdHH+rGr9VqLC4ucvfuXal+vr6+zj/8wz+g0+lkP0wwGGRkZIS+vj5+9rOfMTg4KH+H8J4P+kEG7h/uRkdHOX36NMFgEJVKJRuRq9Uq/f39dDod7HY7fr8fp9PJa6+9RiAQkArbwqPR6XQUi0VqtRoLCwusrKxQKBSUsNijEKqoBoMBq9VKKBSSs8jVarVU8a3ValLV96jNyHgWjEYj4XD4G18jJGJyuZycBZFKpVhYWODevXt79E73Bq1WK3MtwsAC25p1Fb4ZManU7XY/FEYUpe+iqlM0BopiEmHMQ6EQxWKRYrG4rcqpu3H6MNznIjcqxocIxLXZ7XaCwSAul4uBgQE8Ho+ceCrmAqnVasrlMjqdThY0ZbNZCoVCz7QE9JRx6dYlGhgYkJZ9bGwMh8NBqVQiHo+TTCa5e/cu6XSa69evE41GlWqxXaLRaJBIJKhUKnzxxRd89dVXVCoVksmkHI1w2BDDlUKhkEyOZrNZ7ty5QyQSORTKA88L0Rsl5v10hxLFCI3NzU1WVlZYXl4mm83uqIouRjYIwUXhDYuOfSEQurGxsaczSZ4HtVqNO3fu0Gq1OHfuHC6XC71ez5kzZ6SREFJLIjwtRFG3traIRCLSwzMYDDQaDfL5fM9N4u1J49LX18eLL77IT3/6U5xOJ0NDQ1gsFuLxOPPz8ywvL0ttp9XVVZLJ5H6/9Z7iWWQyGo0G8XicVCrFpUuX+Pu//3uq1ao8cR70ENhOiJBMf38/FosF+Nq4xONxxbh8AyJ8LUYxdDftVioVotEoGxsbrK6usrKysmPnvcjtdedPu41LsVgkmUyytLTE5uZmTz1An4Zqtcrt27dJp9M4HA6OHz+O0Wjk9OnTaDQaeX25XE7OB/qnf/on5ubmSKVSZDIZLly4wI9//GMMBgP1el0al16iJ4yL6DY1mUyMjIzIoUxOpxOr1SrjkbFYjIWFBTmDZD9mFPQ6er1+W8Lv2xCueK1Wo1wuS+mIeDzO1tYWlUpFztg56Df1TogQrNls3qadJhQKAJLJ5DbtNYWvMRqNOBwO2RApikEAWQgiDMajDieieEdELMSJvNPpkMlk2NzcJBaLHZqinVarRTabRa1Wc+/ePakAHQgE0Ol0VKtV6vU6uVyOaDRKMplka2uLTCZDp9ORowfEGHIxAqLX8lE9YVzsdjtnz57F4/Hw+uuvMzU1JQUTARlTvHr1Kr/85S/JZrMsLy/LygqF+6hUKjmtU5zAvw2hjxWNRlleXmZra4u//du/ZWVlhXg8TqFQOLS5h27F3UAgQDAYlGExv9/PK6+8wtbWlhQAbDQah2LS5m7i8XgYHx/fJm4qDjW1Wk1WiIl7dad9JEJpAwMDfPe735Wil2IY28WLF1laWjrwTbqCer3OwsICGo2GpaUlfvWrX+Hz+Th//jwmk4nNzU1SqRTZbJZYLCbXsdFoMDIyIntdnE4nZrOZZrMpk/i9dJ/um3EROk5qtRqLxYLP55MqvKIRy2g0Sq9FdKmmUimKxaJM5ANPXS4qPohvUmDtpQ/rUYjTt+j/Edpg37Yu7XZbdqJnMhnZxBWJRIhEIpTL5Z4oaXxeiHUTa9fdcCoS1KVSaZuMzoM6WYc1VPi4iLDYTurH7XZbFt086lQt2g30ej1Op1POchFD2QqFArFYjHQ6fWj2oqh2hfuHu3w+T7lcls3iq6urUmk8Ho/LAib4uhjAZDLJcnnhIfbawWfPjYuo39ZqtfK0ODIywp/8yZ8QCARkP4ter0etVpPL5fjkk09YXl7m7t27tNtttFotXq/3mTabiO+KWG/3A0I8bIAD4R3ZbDYmJiZwu928++67vPjii3i93kd2OYuyzkqlwuXLl1lcXGRpaYkbN25IocZisdjz1/2s2Gw2KfcSDAbx+/3ycxcSJC6Xi8nJSex2u6xQFIjpm9lsVuYNFL6mXC4TiUSIxWKPbBXQ6XRMT08zNDTEK6+8wqlTp6QuXqfTYWNjgytXrpDP5w9lu4HILyUSCf7whz+g1WoplUrSWIjxA0Ls02w24/V6pb5iq9UiEokwOztLLBbrqYPOvhgXnU4nG/lGRkaYnJyUw4GENRbUajXm5uaYmZkhnU5L4/Ks2kPlcllOuXzQ4qvVallOeRA2tNFopL+/n2AwyPHjxzl16tRD69iNuO5qtcri4iJXrlxhfn6eq1ev9tzp53kimvWEhprNZpPfEyMLLBYLwWAQnU4nw2Ii99JoNCgUCrJ6STEu2xF5g3w+/8iDikajob+/n+PHjzM+Pk5/fz8Gg0H+fCaTYWVlReb9DhuiT0zspW9CeHnd+ortdptsNks0GiWXy/VUpGXPjYtOp2NoaAi3282pU6c4e/YswWBQKqg+GMoxm8289NJL9PX1bauNfxbE7PhkMinnH3Q/VE0mEx6Ph1qtxueff876+voz/83dRCRNRSJ1YGBAKhnvZKAfRPQdZLNZ1tbWmJ+fJx6P99SpZy8Q4VhxCuzGarUyNDQktZtEtZwI74iHwqlTp8jlcmxubjI7O0ulUiEej/dc5c5+ILzjb5rf3i1Z5Ha7pZSJkI4XSfxeemjuJ2IkhEqlkv19mUyGWCxGPp/vqXt4z42L0Wjk1KlTjI6O8tprr/Gd73xHCtXtVN1kt9v5oz/6I3kz79YmSyQSsls4Ho9vC3fY7XZCoZBMqPWScREJaJ1Ox+DgIBMTE0xMTPDHf/zHBAIBzGbzt2ph1Wo14vE48Xic27dvc/XqVSlMeVRQqVTY7XYGBwelZ9KN2+3G4XDIvMpO+657Muonn3zCX//1X0uBRsW43Pc8hGf3qL2l0WgIh8OcOHFC6oq1220pzV+v1x+aPnuUUavV8nApQmbRaJSVlRVqtdrRNC6iZNHlchEKhQiFQrjd7m9MPIuFevBh+aSbTTQjiX9XqVTUajVcLhdmsxmVSrUt/GWxWHA6nXQ6nZ5TxBXDlcxms1QuCIVCMon/OLIl4oEpKsWOUiism3q9LicfptNpGa590NCIPdN9wGm326hUKmnoPR6PFGwUe/qwPxBFUY4oQX6Q7oT+gw898XM2m02W1ur1elqtFo1GQ+ayhMTQYV7HJ0God4vBYELcshdVyffMuAwPD/Pee+/h9/t5++236e/vl3IuOyES7fD1BEpxU++UhP8mRIJeWH1Rsiv6GIaGhh76GeFFifhvr2AymeT8hpdffpnXXnsNi8WCx+NBr9cf6jnju0mn02Fzc1POJ/f5fASDQSm3sROiZ0NM4NRoNExNTdHX18fQ0BDvv/++LDwRg50Ou+G22Wz09fXJCq9uqtUqiUSCRCLxUO7SarUyNjaGz+djbGyMwcFB2u02pVKJSCTCX/3VX7G4uMjNmzel93LUUalUBINBzpw5g16vJ5/Py69eK0OGPTQuVquV0dFR+vr6GBwcpK+vb5thEQsjDEZ3pYSIMYqTo4jlPolxEacs8d/i96rV6odmnoh4Lzxbt/tuI4yjz+ejv7+foaEhxsfHFeXep0T0rphMJjY2Nmg2mxiNxkd6q+VyWY6FLhQKaLVa+VC0WCwMDAxQr9cxm81otdoj4RXqdDo5N+jBfdhqtWRD4IP3qk6nw+VySWVgq9VKpVKRYbTFxUXu3LmjzGnqQlSLeTweWc4s9nAvrtGeGRebzSbnNuh0um05jkajQSaToV6vE41GpQBbKpWi0+nIGnpxEqxUKiQSice+cYX4ZbdLmc/nSaVS6HQ6vF7vNpnwYrFIKpUinU6ztra262vxNDidTsLhMH6/n1dffZWpqSkGBwcfMn7lcplmsyn1ng77bIxnQYRL8/k8ly9fxmKx8MUXX+zYgNpdWSiqe0wmE7VajWw2i8PhwOfz4XK56OvrI5FIHInEvtPpZHh4mL6+vsca8CVGOgSDQV599VXC4TCBQACVSiXzn929Vor0DrIX0Gg0yurGQqFAIpEgmUz2jFDlg+ypcRkeHsbj8UhDISgWi2xsbJDP55mZmWFtbY1UKiUf7GI6nag8yefzLC8vP7b0i9vtZmpqCqvVKqcsxuNxNjY2MBgMDA8Pb3ugZLNZVldXKZVKbG5u7u5CPCV2u53JyUnC4TAvvfQS09PT0iMTdMu4iBO4qI/vJQ+sVxDGpVAobCtq+LbYtVqtRqPRYLVapbz8+Pg4Q0NDOBwO/H4/wWCQUqlEIpHYgyvZH1QqFQ6Hg8HBQXlffxs6nQ6j0SjH9A4MDOD3+4Gvw2ii2CQejz/vSzgQCONitVplhajo2u/lA8yeGZd4PM6nn36K3W5/qNNZnFgqlQrLy8skEgnZkQ/3N51Go5GeS6lUkmV4j4P4IMrlMrVaDbPZTDabJZPJyEq1Bz2XdDrdE12vYq1cLhdTU1OEQiHsdvs2gUCBaMaKRqN4vV6ZaBUGRlCv10mlUlIz66ji9XoZGBig2WxSLBalInQ+n//GnxP7TshupFIpQqGQLAARo3t7LV/3PPmmw4uocGy323JE78TEBD6fD7vdLvdoLpdjZWWF9fX1nj2N7wcajUZ6LFarVRrx7uFivcieGZcbN27wn/7Tf9oxni1CDiLcIP79QXmX7pkOT7KgpVKJxcVFmXcRw3larRYqlYqVlZVtN4f4/eJ97ScijDAxMcGf/dmf4fV6cbvdO54SG40Gt27d4urVq5w4cQKPxyPj/90Ui0Xu3r3L+vo62Wx2j66kt1CpVJw8eZIf/ehHVKtVNjc3ZXjs24xL9xTUzc1NLBYLfr+fTqcjQz7lcpnNzU1ZiHKU0Wg0uN1u7HY7P/rRj/iTP/kTbDYbg4ODsgil1Wqxvr7ORx99RCwW64kxvb2CiK6Ew2H6+vpkfqtQKDzUo9dL7JlxEVMj9wNREvkoelVZWVS1Wa1WPB4PXq93x6qcbr5poJL4nsgTiLkRRxUxEtpkMuH1ejGZTLKk+8GGyZ1+VoTH4OuT+4Nl70cZcZgT0ybVajXBYJBwOCxl+tVqNZVKRWpsJZNJMpnMvh/qegmVSoXJZMJisWAwGOSBRXguvVaCLOgJVWSFndHpdLz11lu8/PLLHDt2TIYQHpWg1+l0XLhwgbGxMSlp0i0mKHo61tbWuHHjBhsbGzL0eNTodDrcvn2bQqEgte1sNhvtdhuPx0MqlWJjY0NWhnWfDoWopd1u58SJE5w5c4bh4WHUajX1ep2trS1WVlZ2HIx1lDAajXg8HjweD2fPnsXn83H8+HHpeYupsrOzs2xubvLll18yNzdHoVA40uHaBxGhViHmK4ofVldXWVtb+1bZmP1CMS49jEajYWJigjfeeENWtH1T5ZdGo2FwcHDb7PFuRNOgmJGxtbV1pGPbkUiEZDKJRqOhr6+PUCgkRTuNRiPZbJZKpSLLPQVarVaqT4seF6/XKx+W+XxeyswfFXYyomKdjEYj586dY2RkBIfDIccawP1yZTGnaW1tTUrMK3yNaNYVA9ng6wrbZDLZs+ulGJceRnTj+/1+bDbbM40WaLfbxGIx5ubmWFxcJJvNysKIo4rIreVyOe7cuUMul8PpdPLqq6+STqeZnJykWCxy79498vm8lOd3Op2Mj4/jdDo5ffo04XAYlUrF8vIy6+vrRCIREonEkTDcIve00z4KBoO8+eab6HQ6QqGQ7MIHZGg2n89z69YtvvrqK5aWlno2xNMrCMHZ7p6gI59zUXhyRJXYwMDAjqKej4tIQK+vr/OHP/yBlZUVUqmUHAR2VBF5lVQqxR/+8AdCoRBvv/02J06ckI202WyW3//+90QiEZknCAaDXLhwQUr2m0wmVlZWuHXrFmtra6ysrLC5uXkkPJdms/lIiZehoSHC4TCADIN1j0BeW1uTVaQXL158pJFS+BrR51csFslms+RyuZ5VbleMywHgwdLtJ0G4z5VKhUgkwtbWFqlU6tCMjN0NhJAnwObmJg6HA4PBgNlsllMqhYSQyCOIxH+5XKZYLLK1tcXS0hJbW1vyNHnYT+GdTkf28uh0OllhKfaqRqN5qDpU6GCl02k57VSEEA/7eu0GwlPs/urF7nxQjMuBQIgkPgkiFJbL5fj4449ZX1/n8uXLfPHFF9KtVrhPJpPhk08+wWg0Mj8/T39/P9PT07zzzjuYzWZeeeUVWUghKsT0ej2NRoNr166xsrLCjRs3+PjjjymVSqRSqZ5TqH1eLC8v8+GHHzI1NcWpU6ewWCzf6GUnEgm2traYnZ3lL//yL4lGo6yvr/fs6buXEJIvmUyGTCYjw4q96u0pxqXHEWEHoYcmuu27v2C7NpsIgzUaDXmqXl5eZmNjg2g0qngsD9BoNGRiX6vVUigUsFgs5HI51Go1gUBg2yAxcXqsVqvEYjFWV1dZWVlhaWnpSD0kxRjiSCSC1+uVTcfd5dgCoQsopJWi0ShLS0tEo1EqlYqyJx8TEa4Vmm29mm8Bxbj0NI1Gg08//ZR2u43dbicQCGAwGHC73RiNRrxeL36/n3q9LlV4I5EI6XSaRCLB8vIyuVyOW7duyRtauYkfTbvdlsoMzWaTVCol9ei6xz50G+/V1VW53kcxrJPL5Wi32xiNRv7whz8QiUSYnJyU4wfgvsLGwsIC2WyWq1evcvXqVWKxGMlkUgmHPSHJZJJms8n6+npPGxZQjEtP02w2uXbtGpFIBL/fz8TEBDabjaGhITk90efzybxKoVBgZmaG1dVV5ufnuXz5MqVSiUKhcKRO1E+LmFCaz+eJRqPcuHHjsX7mKFMsFikWixgMBm7dukUmk8Hr9W4zLrVajcXFRdbX17l48SK/+93vZGL6KIQOd4tOpyNlq6LRqGJcFJ4ekTBNpVLydGc0Gkmn05jNZtbX15mdnaVer0udMJEkFT0svThE6KBw1A3Hk1Aul6V3olarWVlZkd8rlUrcunWLZDJJJBKREk/K+j453VqIva4AoRiXHkYIUabTadRqNTMzM6hUKqmGLPouukfxiiolMaFOmeKnsBekUik++ugjNBoNf//3f79Nz05IlbRaLWq1mmz6U/blkyHkoBwOB7FYrOem5D6IYlx6nMeRgFdQ2G9arRbFYnG/38ahpNPpyAISIQGl1+ulCG+vGmllipSCgoJCDyNyVjdv3iSdTksRSyFq+zhD2vYDxXNRUFBQ6GFarRbpdJp2u025XJZjOAwGA3q9vmeLdRTjoqCgoNDDiLL4crnMlStXSKfTxGIxUqkUlUqlZ8Pmqs5jBux6vTJhL3maGKeyfl+jrN+z8bQxdmUNv+ag7UHRMC1UIsQgw/3KtzzO31U8FwUFBYUep3sK70HhsT0XBQUFBQWFx0WpFlNQUFBQ2HUU46KgoKCgsOsoxkVBQUFBYddRjIuCgoKCwq6jGBcFBQUFhV1HMS4KCgoKCruOYlwUFBQUFHYdxbgoKCgoKOw6inFRUFBQUNh1FOOioKCgoLDrKMZFQUFBQWHXUYyLgoKCgsKu89iqyIpc99ccNLnuXkNZv2dDkdx/dpQ9+Gw8zvopnouCgoKCwq6jGBcFBQUFhV1HMS4KCgoKCruOYlwUFBQUFHYdxbgoKCgoKOw6j10tpqBwWFGpVGg0GtRqNSaTCb1ej0ajQavVolKpHqqMabVa1Go12u02jUaDVqtFu92m2WwCHKg5588LlUqFwWDAbDaj0WjQ6XRoNBq5lp1Oh1arRafTkWvfjfheo9Gg2WzSbDapVqu02+2nrpZT2FsU46Jw5DEYDHi9XqxWK6+++iqTk5O4XC5CoRAajeYhY5FOp7l9+zb5fJ7V1VUymQzZbJZYLEaz2aRcLtNqtfbpavYfrVaLRqPhxIkTvPvuuzidTkZHR7Hb7XItq9UqiUSCVqsl117QbDbJZrNUq1U2NjbY2toiGo1y5coVisWiNOgKvc2BNy7fVHuunHAUHgeNRoPVasXpdDI1NcXLL79MIBBgfHwcrVZLp9PZtpe2trYwGAwkEgl5Qler1eTzeWq1GtVq9Ug//NRqNVqtFp/Px7lz5wgEApw5cwaPxyPXsVAosLa2Rrvdpr+/H6fTKX++Xq8Ti8Uol8vMzs6yuLiIwWBgZmaGWq1Gq9U60uv7OP02vfDsO5DGxWw24/f7sVgsjI+P4/f70ev1GI1G2u02xWKRWq3G3NwcCwsL1Ot1isWiEq5Q2BG1Wo3BYMBkMuHxeAgGg9jtdhkSe/BGtVqtTE5OEg6HCYVC5PN5stks8XicVCrFxYsXiUajVKtVqtXqPl3V/qBSqdBqtej1eqxWK4FAAK/Xi06nk6/pdDrodDppbPR6/bbfodFosNlsGAwGxsbGcDqd9PX1YTQayWQyzM7OEo/HyefzpFKpnniQPk/UajU2mw29Xk8gEKCvrw+VSvVQKFFQq9VIJBJUq1UKhQKFQoFWq0W9Xt/TtTqQxsVisXDs2DF8Ph8/+clPOHPmDFarFbfbTaPRIBKJkM/n+d//+39TLBbJ5/NUKhXFuCjsiFqtxmg0YrFY8Pl8DAwMoNFodsy3ANhsNk6ePLktf1Cr1SgWi6ysrBCPx2k2m6RSqSNnXABpXBwOB6FQCJfLhV6v32ao9Xo9Pp8PePgkrlarcTgcdDodaYAKhQLT09Ok02n+6Z/+idu3b7O2tkYmkzn0XoxWq8XlcmG1WnnxxRd54YUX0Gg0aDSaHV9fLBaZmZkhnU6zuroq92ej0VCMSzcqlQqj0YhWq8Vms2G1WvH7/UxOTuLxePD7/djtdvR6Pe12G5VKhdlsBsDn89Hf308ikSAej9NoNPb5ahR6kVarRbFYxGAwkEqliMfjmM1mXC4XnU6HUqlEs9nEYDDIEJharX7oodhut7HZbPT19ZHL5Wg2m+RyuR29n8NMq9Wi0WiQTqeZm5vD6XTidrsxGAw0Gg3q9ToajQa9Xo9KpaJer9NsNuW6arVarFYrWq0Ws9mM2WxGp9Nht9sBGBoakg/KWCxGrVajUqkcGiMj9pbRaMRms2E2m2UecGxsjHA4jFqtfqRxKZfL1Go1crkcNpsNr9dLsVgkGo3SaDQolUpyzev1+nO7jp43Lnq9nnA4jMPh4Ny5c5w5cwav18uJEyewWCy4XC4sFgvFYpFYLIZKpcJms2GxWDh//jwGg4E7d+6wtLR0JE+RCt9OuVxmaWmJWCzG5cuXabfbjIyM8MILL9BqtZidnSWfz8swmFarxWQybbu5tVotFouFQCDAu+++y7Fjx/jggw9kkr/ZbB4JA9PpdKhUKtRqNa5cuUI2m8VmszE4OIjFYiGVSpFMJjGZTASDQbRaLbFYjHw+L71Hq9XKiRMncLvdTE5OMjY2hlarJRgM4vP5cDgclEolfve731Gv10mn0ywuLlIsFvf78ncFvV6PXq9ncHCQM2fO4Pf7ee+99+jv78dms0kj+6jcS7vd5rXXXqPVapHL5cjn88RiMb788kuy2Sz37t0jGo3KIpTntS972riI+K3T6cTj8RAOhxkbG8PtdhMOhzEajcD9k1K5XCadTkuX3GAwYLVa6evrIx6PYzQa0el0R+YmV3h82u02lUqFTqdDMpkkEolgtVrJ5/O0Wi2SySSZTAaj0YjVapU5AnHKFvFvkbvx+/0AOByOHavNDjvtdpt2u00ul2N5eRmLxUKj0cBmsxGPx6VnWK1W0Wg0bG1tkU6nMZvN2Gw2HA4HTqeTWq2G1+uVOVWz2SwLBdxuN8FgEKfTSaPReOQpvpdRqVQP5U7UajVms1nm/0KhEH19fYyMjDA4OCjDYe12W5Zr7/Q7Rc7Q7XZTrVaxWq0kEgksFgvpdJpms0m73SabzdJqtZ7Lc7FnjYvJZMJms+H3+/nZz37G+Pg4/f39hEIhALLZLPV6nXv37hGJRIhEIiwsLGAwGJiYmMBut9Pf309/fz/lcplXXnmFRCLB7OwsiURin69OoRdpNBrcuXOHdDrNV199xWeffUaj0WBra4tSqYTX68Xj8WCxWAgGg5hMJplTCAQCDA8PYzAYGB0dxe/389lnn8mH6F7Hu3uBarVKOp0mn89TLBbR6XRUKhUqlQparZZ0Oo1KpaJUKlGr1dBqteh0OvR6PdFoFKPRyMWLF/F6vYyOjvLee+/hdDpxOBwYjUZ8Ph+Tk5NYLBbm5+fJ5XL7fcmPRXeoX4T2hRei0+k4e/Ysw8PD+P1+RkZGZGGETqeTnl8mk+HOnTuUy2X5e8X6Cc9P5GksFgvhcJjXX3+dWq3GCy+8QKlU4t69e3z55Zfyd+XzeWl0doOeNS56vR6n00koFOK1117j/Pnz0l0sFAqsrq6SzWb58ssvZXLvzp07GI1Gzpw5g8/n4wc/+AGnTp2iXC4zPT1NLBYjGo0qxkVhR1qtFqurq2xtbaHVajEYDDK0UK/XsVgsmM1mHA6H7NuYnp4mHA7TbrcZHBxEp9PR19dHo9HA6/XKCsajKNfeaDRknjOdTj/0/Xg8/sifXVlZAZB5rhdeeIGpqSna7TZWqxWdTofD4aC/v59Wq/VQxVkvo1Kp5LMsEAgwOjoqPS+j0cg777zD+fPnsVqtuFwu6dmIwobNzU1WV1f59a9/TTablb9XVMz6fD4sFgvNZhO9Xo/H48FkMuH1euXv6XQ6fPnll8D90vqNjQ3K5bL0OneDnjMuBoMBrVbL0NAQL730EuFwGK/Xi1arpVgsUi6XicViXL16lXQ6zb1799jY2CCdTsv690qlQqlUot1ubzsN6XS6R5bvHXREWMZkMsmQoMfjQafTYTKZZJ7AZDLt+PObm5ssLCxQq9UoFAqy2/yoIZLC4ibrdDryZms2m7IqLBqNksvl0Ol0Mq/QbURUKpU8WScSCYrF4qFJOO8lYi8bjcYD20PUHaoKBoNYLBZGR0dxOBwEAgGCwaB8rV6vp7+/H4vFIg1mpVJhdXWVXC7H7Owss7OzJJNJ1tfXH/Jc9Ho9+XyeS5cu4fV6CQQC+P1+HA4Hw8PDGI1GzGazPLyL3FYkEsHr9bK+vk4kEtmV6+4p46JSqbBarVitVl544QX+/b//97jdbgKBAHq9npWVFebn55mbm+Ov//qvSSQS5HI5aXGbzSZarZZ8Po9Wq6XZbGI0GuWCms3mQ2lc1Go1Op0OnU5HIBDA7XYzMjLC+fPnZfWSCOUEAoEdT9EffPAB/+N//I9Dlxx9UoTcSDcinFWr1WTPVCqVQqPRsLGxgdVqxWaz8eMf/1j+jFqtZnR0lLfeeov5+XlWVlaUgpInRKVSyfJwi8VCuVwmn88/1wqn54Go7Orv7+ftt98mEAjw/e9/n+HhYbRaLVrt149h4dWI5l2RF/n1r3/NwsICN2/e5NatWzQaDWq12o45F7VazZdffolGo8HlcmGz2Th+/Dh/9md/ht/vZ2BgAKfTSTgcJhwOk0qlMBgMbG5u8uGHHx4+4yKS9yJ+HQqF8Hg82Gy2bQn7ra0tIpEI6XSabDZLuVyWrveDBQAWi0XqGgkj0/1BHkTENYrrEl/ipNPX14fH45H5KRGvFTep6C14EL/fj9/vlw1uR5lvyo2IkIJIqD7o3QhUKhU6nQ6z2SzLlxW+me4Et8lkkoel/v5+AoGAPHGLAgzRw9bLXqFKpcJkMmE0GnG73YRCIYLBIH6/H4/HI6+5G+E1C2Mai8VkXjmZTJLL5b5VY61Wq6FSqWi1WlSrVVwuF+vr69Trdan3ZjabsdvtsnCi0WjIEvDdCI/1xJNWVNlYrVbef/993n77bUKhEH6/n1arxcrKCtlslo8++oiPP/5YdkN3u8jiYRsIBPjTP/1Tjh07xsTEBDabDY/HI13Cbg2jg4hWqyUcDmO32xkYGGBwcFBqNwkDYrfbZW5A5A40Gg0Gg+GRv3dgYIDvf//7rK2tsbGxcST7M54UrVYrP4OBgYFtBqS7wVJZx8dDq9ViNBqx2+2cPXsWr9fLiy++yJkzZ7BYLPj9fjQaDfl8nsXFRa5fv85vf/tbUqkU+Xx+v9/+jmg0GsbHxxkbG+PMmTP8+Mc/xuFw4PP5djxwiLxKuVzm5s2bfPjhhySTSa5du0Y6nZbd9t+G2HOiWOLWrVskEgmcTifvvfceU1NT8j1ZLBZOnjzJwMAAN2/e5Pr167K7/1kMTE8YF6FKKyptXnrpJUwmE2azmVKpRDabJRqNsrKywt27d6nVajIUJhChIavVysTEBKdPn8bpdMqyZJvNRrFYPLCeizjdaLVaHA4HbrebwcFBpqen8Xg8nDx5EpvNhtvtxmq1bjsNdT/odjphw/2u85GRETqdDkaj8ZHd6Qpfo1arsdvt+Hw+bDYbsN3rUQwLO57MH4WIMNhsNgYGBgiHw5w6dYqXXnpJKic3Gg1SqRTpdJpYLMb6+jqFQqFnQ2UqlQqPx8PAwABDQ0PyEAj398eDa9PpdKhWqxSLRTY3N7ly5QqZTIbV1dWnClV3K0onk0msViujo6NS0UTkpb1eL2azGafTiclk2pUilJ540opQj+jIFYtfKpVIJBJ8+umnzM3NcffuXSqVyo412X19fZw4cYKhoSFCoRB2u516vU4kEmFtbY1PP/30wFWKqVQqnE6njOkLr0SIAQqdIbPZjNfrxWAwbEsCilNOuVyWSrPZbHZbfurYsWNSt2lwcJBms4nP5yMSiVAul6lUKvu8Cr2HaJi02+2cPHmSF154gfHx8Yf0s+LxOHfu3GFzc/NIqkOEw2Gmp6cxm80yrPVNhlan02EwGKS8k9PplFI8olCnWCxy9epVZmdnpcSJELPsJdRqtezNGRwclJ6BVqulXq+ztrZGoVAgGAwSDAblg7zRaHDlyhVu3LjB7OysrOLaLeNZr9eZmZkhlUrRaDQYGBjAYrFgs9kwmUz4/X4GBwdl+O1Z1rWnjIter8dkMmG1WimXy7Lr/ve//z1ffvmlrJHfiVAoxFtvvUUoFCIUCuFwOIhEIsRiMebm5rh48SKxWOwbyx97DbVaLZvFQqEQJ0+exO1289Zbb9Hf3y9PejudDiuVigwdCo2rlZUVVlZWpCy8kNVwOp0YjUZcLhftdhu/3y+lTxTj8jA6nQ6Xy4XH4+HMmTO8/fbbMo4taLfbxGIx7ty5QyaTOZLGpb+/nx/84Af4/X5Onz6Nx+MBHp3T6j5kWiwW2aCqUqmkbEk6nebKlSt88skn0oPpxSZVkTeyWq2MjIxw5swZ3G43Go2GSqXC/Pw8W1tbnDlzZluRTb1e5/Lly/yf//N/yOVyxOPxXTWc9XqdGzducOvWLfR6PadOncLr9TI1NSWNy/DwMBqNhuXl5Wf6Wz1hXHZClBCLIUM7aTmJ8j6j0UhfX58sW2632xQKBSKRCEtLS6ytrcm47EG4ybvr4AcHB5mamsLn8zE8PIzdbsdgMNBut2XIsNlsyqSm0AwSG7Ner8vZGNFolK2tLdrtNrVaDZPJJKvthCbbTl3DCtsRBlmEIIX6w4P7U5Qu77Uaba9gMBhwu92yYklo/j1qLUQ5vVA+6O7vKBaLLCwsEI/HicVi5HI5qarQiwjVZ3H9drsdtVotm0rFc0kYULj/4C+VStKrEcPRdhuRrM/n82xsbNBqtRgdHZWtCk6nk3Q6/czPgJ41LqJJyul0yq5cEeLpfs2xY8cYHBzk9ddf5zvf+Q5arZZcLkcymeT3v/89ly5dIh6Ps7CwQKVSORDGRafT4Xa7cTgc/PSnP+UnP/mJdLHhvlciNoYYVnXnzh0KhYKUIu8W8xNhg+6mtna7jd1u58KFCwwNDeH1enE4HPt52QcGq9Uqw4nCS94pPl2tVmVFYy+erp83DoeDiYkJfD4fHo/nW41L9xqKB5t4EK6urvIXf/EXbG1tMTMzIw9JvWpcbDYb58+fJxQKceLECQYHB4nFYly/fp1IJML//b//l7t378o9VK/XZYRBGM/ndX3id66urvKb3/yG0dFRpqencTqd+Hw+JiYmpGLCs9AzxqW7vLPVasnacL1eL/WGxAkbvk7gu1wugsEgXq8Xp9NJu90mEolIUbatrS15g/dq0u9BusMDDocDv98vT3NCbbZYLJJIJIhEIqRSKVlRJ5r7hBcjRvE+apMKkUFFc+3xEWWcVqtVNv2KtWu329TrdWq1mlzXo9qQKvZxtweyU3GJMCDint7JUAuV30wmI9sPenm/intXCOuKSs1isUgulyORSEhRU3EPCuX2vZq0WavVSKfTeDweuUe72xoORUK/0+lI+ed4PM7y8rKswnE4HLz//vucO3eODz/8kF//+tfo9Xq8Xi92u5033niDs2fP0tfXR6vVIp1O8/HHH7OyssKtW7dYXV2VN/lBodVqyTLAW7dubauHLxaL/OEPf5AGVIS8UqkU9XpdGtHuDvNevgkPIqJ0XpR4A7K6rlAo8PnnnxONRrlx4wbZbJZGo3EkPZdoNMonn3yC2+2Wcjlw/36v1+tkMhnq9TrJZJJCocDAwABTU1NyGKDJZJKVpH19fXz3u98lGo3KnKFoJOxFRPTB6/VKVYzuHinxVSgUpDERYbC92ivivRxqVeROpyOVOXO5nJSBFq70iy++yPHjx1lZWeHSpUty83m9Xo4fP8758+elUmg+n2dmZobbt2+zubl5oKrDBKIyptPpsLa2xszMjPxeNpvlgw8+YGlp6UifivcT0SD5oJyQSqWiUqlw+/ZtFhYWWF5eplQqHVnjnsvluHfvntTHcrlcwNc5FFGRuLy8TDKZ5PTp0zIU7na7ga9DZU6nk9OnTxMMBrly5QqLi4tyCFYvIkZni1lTgu7ydFEws99FM4feuAj3cG5uDpPJxPHjx/H7/VIXTKVSce7cOX7+859jMBhk9/7g4CBms5l4PM7q6iobGxtsbm6STCb3/UN7FkRYa3V1dZt7KpL4ojt8t3iSfoSjilB5CAQCcmiT6G8ReTBR+r66uko+nz+yhgXuG5f5+XksFgvZbFa2GMD9kIzwXBKJBIVCAbVaTafTwW63s7a2JvWwBgcHpYKwWq1menqaer3O+vo6s7OzPVeG/CiazSalUolyudyT71kUSPX19bG6uvrMYwx6wri0220pS/7JJ58wMzPDe++9J5NMNpsNnU7H+++/zw9+8APg68oSocNz8+ZNfvnLXxKNRrl9+zbxePzAhiKEsW21Wty4cYPbt2/L74kcyvO6NsXAPBqh9jA6OsrLL79MOByWp3Exu2R1dZWbN28yOztLoVDY53e8v8TjcSmrLyo+u41tt3ROp9Nhfn6eTz/9VBZMuN1u/vRP/5RgMIhOp2NgYACfz8c777zD8PAwFy9eZGFhoScf1DshKjfFlNJeQ6VS4ff7MRgMrK+vH56EPiD1dFQqFfF4nJWVFTweD0NDQ9hsNgwGw0OqviJXIxLcouLioGy4b6LT6Wyr8NpNRMGEKPlWqVQyzCaKKo7yqbsbcZBxOBwMDAwQCASwWq1SCLXZbFIoFNjY2GBra4tCoSCbfY8yorjhcREVja1Wi0QiQbPZlKW7onNfp9NJJQrRC7ObM0h2C7VaLZsThVaXqB7M5XI9WbUqwr0mk+nwJPQF3bo6ly5dYnNzk3A4zL/+1/+aY8eOYbfbsdls8qLFJiwUCszOznL16lXy+TylUmmfr6S30Wg0ssHLbrfjdDrRaDSyGqdQKFAqlXryBthr1Go1RqMRg8HAa6+9xvvvv4/P5yMUCmEymWg0GlSrVa5du8b//J//k1QqJXMtvfbA63WEB1MqlVhaWpKD//r6+vD7/Zw6dQq9Xk8wGMRoNHL79m35PKhUKj213larlVOnTsnmxHK5zMbGBp999hnxeJxMJrPfb3FHhGGxWq2Hr89FnNQjkQiZTIZkMkkikWBgYGBb1YX4p5ivkcvlZImu8lD8ZkRZs5DbMBgMqFQqWT4rZOcPg/f3rIiGVqPRSCgUYnp6WnotWq1WNkkmEgnu3r1LLpejVCodea/laREh4Xw+j0ajkeX2Op1O6l2J3I3FYpGFFbVaraeMixjS5ff75T1VKpWIxWIkEomeKkTo9lCE4vpuaDD2nHERiAqyer1OPp9/KCEI9x+STqcTg8HAyMgIp06dkj0fR3UeyeMgpClEr4bD4ZCFAsLz6x5lcBQRBtjhcPDGG28wMDDAiy++iMfj2VaCLHTaREHK8+qqPop0Oh3m5ubodDqcPn2aqakpPB6PzLOKUl+tVku1Wu05gy7m3fdqHtPpdDIxMcHQ0BBGo5FOp0MikSCTybC5ufnM69mzxkXctPV6nUKhQDabxePxbFMSFcbF6XQyMjLC9PQ00WiUeDyuGJdvQITFhPiiw+HY5gGKiZ9HGdHQ53a7effddzl9+jQDAwOy5wjY1q9Qr9dlM5zC7tBut5mbm5OD1n784x9jMpmkyKLL5ZLziZLJ5D6/2+0ICSXx1Ys4HA7GxsYIhULbjMvS0hJbW1uH17g4nU76+/vp6+sjGAzKWvlisShL+gCZ2DOZTAQCAZrN5pEfdvW4dJcfVyoVYrGYVEs96hiNRjweD16vF4/Hg8vlkk19gNRnW1tbY2tri83NzQPtsQjtPnHYEPOR1Go11WpVJuZFAUM6nd6TyZqiOrJSqZDJZDCbzRiNRul5Cy3B1dXV5/5engQRdRHhOtFSIcaQP2uZ724gFFC6k/fd+oTPSs8al/Hxcf75P//nBINBXn31VQKBAJlMhrW1NbLZLIuLiwC8/vrrjI+P4/V6OXPmDA6Hg9///vf7/O4PHvF4nKtXr7KxsXHkS2gBXC4XJ0+eZHBwkGPHjjE2NiZFBoVhKRQKfPDBB3z66aesrq4eGHmhB+kerXvs2DFeeOEF+eDWarVsbGyQSqVkhWGxWOSTTz5hc3Pzub830c+VzWa5d+8exWJRFqKIe359fZ179+71VJJcNIRns1mZoxNSTq1WS0pS7SdCxshkMskycSGeuRvh3Z4yLiqVSmo1ud1uwuEwfr9fliGLxGkulyOVSskkNCBLFC0WS8+6ob1Ct8vePUdChMOOciJfrIfJZJKqthaLBaPRKF8jpDpE+fvGxoack3MQUalUskHU4/EQDoflVFOR2BVFH1qtlnw+j8PhkNI2z9uodjdZCzFW+FoHSzwcewkx9KtSqciSdZEo1+v1+/p+xR7v9qTE++lW8n5WesK4iIed0Wjk9ddfZ2pqiunpaV588UVMJhOdTod0Os3Fixf51a9+JROtDodDduHr9XrsdrucAa3waIQcuBgwBtsbN49qf4uYd67X6xkbG+N73/uenG3TTSqVkvpht27dYn19nVqtdmDXzWg08sILL9Df38+LL77Ia6+9Jh88KpWKqakpGQJTqVQUCgXcbjcbGxtcu3aNr7766sAa1ueFmJ8kqq+EksN+Iw4SWq2WUCi0bWJvo9EgHo+zuLgoNdyehZ55Cotu+8nJSd544w2GhoYYHh5GpVKRTqcplUrMzs7y8ccf43Q6OXXqlBwiBPddPNGP0AvxzF6me+KnyE91q1IfZcRog0AgwPHjx6W+XbfhKBaLzM7Osr6+zsbGBul0eh/f8bOj0+kYHBzkxIkTnDx5kpMnTz7yHhK6YLVajXA4LOe7K2xHjGMWElW9hGhBcLvdchIl3H/PYmzHbnji+2pcRK+Fw+FgfHxcxrlHRkYwGo1Eo1HK5TLXr18nHo9z9+5dqtUqWq2W/v5+QqEQVqsVgEKhwOrqKpubm3uSaDzIWK1WpqenpXyJSqWSoR6hqHyU0Ov1chrn1NQU4XCY8+fP4/F4tnnCoudqcXGR27dvy/EGBx0ROXhcfTmRoxE9UmLkwPPYNyLh7HQ6CQaDBAKBbfL1W1tbxGKxA5vv2mv0ej3Hjx+nv7+fiYkJ9Hq9VJMvlUqsrKwwPz9PKpU62J6LwWDAZrMxPDzM+++/TygU4oUXXmBsbIxYLMbi4iJbW1v8r//1v5idnSWTyVAqldBqtUxOTjI0NITT6QQgnU4zMzMjZ04rPBqn08krr7zC8PAwwWAQ+DrnUiqVjpz3YjKZGBwcxOPx8JOf/ISXXnoJj8dDKBSShqXT6bC+vs7169eZm5vjk08+IZlMHprSY5ET+DbjInTCjEajnMIpVH+fx8RNs9mM3W7H7/czMjJCKBSSIaZsNsvc3ByxWEw5UD4GIuz72muv8eqrrzI2NobBYKBSqbCxsUEikeDmzZtcuXJFSkA9C/tiXISIndfrpa+vj6GhIQKBgOxjESN6l5eXiUQiJBIJOV1RNLeJRB4gtcWSySTpdFoppX0EoqnLaDRit9ux2+0yLCaaVcW45KNAdxJ7eHgYr9cry96tVqt82HaPg4hGo1JxW0z4PMx0Oh0pCST+WzyMksnkc52YqFKpZEtCMBiUxkzMcykWiwdqz4reqe7RxnuFeGaKaZOiUEqtVtNqtcjn82QyGYrF4q55gXtuXDQaDQ6HA6PRyPe+9z3ef/997HY7/f39aDQalpaW+Oqrr5iZmeGDDz6gWCwSj8dlOKx7gXw+H9VqlUgkwvz8PF988QXpdFoppX0Eommyr69P9hAJA51Op7l9+zbZbPbIaLP19/czNTXF8PAwP/3pT/H7/fh8Pux2u5yg2G63KRaLVKtVuSfFw/YoFD/U63U++OADPvvsM5mTE/094hAoylZ3ey00Gg2vvvoqP/3pTwkEAgwNDaHX64nH4xQKBebm5qT69EHwXEQKoFwu73nRkdPp5OTJkwQCAc6dOyd12tRqNZVKhXv37rG8vEw8Ht+1v7nnxkVUhZnNZvr7+zl16pRsihLqsuvr6ywuLjI7O7ttJotOp5OvFeWhoos/m80Sj8d7VnG0FxDrZzabZX27iJfXajUp/3KY6S7DdjqdhMNh2cvi9/uldycQytRi/sjW1ta20KE4gX5bvkLkIw6aMWq320SjUe7cuSMb7Or1OpFIROr47bbXID4jnU5HMBhkampKVoICUl1YKAwflPJ5jUYj81R7WYosKsT8fj/BYFA2BcPX+zudTpNIJHZ1BtaeGRdRhWOz2XjxxRcJhUKcOHECp9NJrVZjZWWFXC7Hp59+ytWrV4lGo9uMhEql4vjx47z44ouMjY3R39+PxWLhq6++Yn19ndu3b8v52gdho+01QvBPlNaKWHmv9Qc8L7RarTSsx48flw14586dw+PxyK70BydLttttKpWKDBe0220pPQLIhjOfz8fg4OCOVVZi6qIYR91rnmF3peBOxs/lctHf3y9FJKvVKqVSiXq9viv3migmEOXPFotF6oidO3dOJvHVarU0bCsrK3Lm/EHxIC0WC8PDw+h0Oq5fv74nf1MoyR8/fpzvf//7BAIB+vr6AOSBfHl5mZs3bzI/P7+rk3v3zLgIl9Dr9XL+/HmOHTsmZfRTqRTr6+tEo1GuXLnCpUuXHtosarWaY8eO8aMf/Qifz0dfXx/tdpv19XU+//xz5ubmZFOXws6IxkBR136U+oFESNXj8fDyyy8zPj7O6dOnOX/+/LZmUoH4b9EMJx6mnU4Hk8nE0NAQWq1W5gMnJiZ4+eWXt420FcTjcW7evCm7snvNuMB2nbRuRBg7FApRKpXkAW43qwq7+9xEyPvNN99kcHCQU6dO4fV65efRbDaJxWIsLS2RSCSe6+C83cZqtTIwMCA9ieeNSqXCZrPR19fH+Pg4b731FsFgUFbb5XI5lpaWWFxc5O7du8zPz+/qWu6p5+JwOHC73QSDQfr6+tBqtaTTaba2trhz5w5bW1uk0+lthkWn0+H3++UHIyalRSIRKpUK6+vrbG5uHugO6b3iwdBNu92WD4t0On2o1094Kl6vl4mJCfr7+3E6nTsalm7UarXsczl27Bjf+c53ZIhBo9FIg9Hf38/o6OiOBttkMpHJZLBYLGxtbT3Py3wqms0m0WgUg8FAMBgklUphNBql2kUgEGBychKTyUS73Za9EKVSiUqlQrlcfmLPwWAw4HA4pLKGiGp4vV6cTidjY2P4/X7sdjsqlUp6fdlsluXlZZaWlkgmkz27Z0WoyWq1bmv09ng8VKtV/H4/iURi22HjWb2vbhUAh8OBwWBgcnKS0dFRjh07JpUCCoUCjUaDlZUVWWFbKpXodDq76gHumXGxWq2ylPDMmTMcP36caDTK3bt3uXPnDn/5l38pL7Ibi8XC66+/ztDQEG+++SYnTpwgHo/z2WefEYvFuHTpEteuXXsusd/DTrPZ5O7duywvLx+oWeRPw/Hjx/kP/+E/SK+3u4F0J4T6tlarxe/302638fl8/PCHP5T/H74+8Qthwp0MVSQSwWazEY1GWV5eZm1t7bld59NQrVa5cuUKMzMzAIRCIdxuN2NjY5jNZs6dO8f09DSlUol0Ok02m+XixYtsbGywvr7OysrKEz+UfD4fZ8+elT1ugUAAl8tFX1+fnIYohBVFI/Vnn31GNBrlww8/5ObNm7sWlnseVCoV5ufnKRQKnD59mk6ng91u59ixY7hcLs6cOYNOp2N1dZWlpaVdaWDW6XTSSAuP78033+Tll1+WI7o7nQ5ra2vE43E++eQT/u7v/o58Pk8ikdh1Q72nYTGbzYbD4cBkMmE0GqlWq8TjceLxuCwjlm/s/9fgETXuoVAIu90um35SqRSxWOxIVTc9K+JmFWON2+223FjFYrFnT4G7gcFgkJI3drt9W1hipwejSqWS/1+n09HpdGQzX/drHqT7d4lchtFo7NmZHoCsiKvVaqTTaZLJpNTtMxgM21SIxcMrHA7LsRjVavWpjEsoFJKlxsK4BAIBKaIoks2lUklWpsViMTKZTM8XnoiBZ0ajUU7XbbVacgKs3+8nk8lIjTqh6SWq7rq/gMfqQRLimCIUJg5SwWBQ3vOiny2VSsmm4Oc1u2nPjIvL5eLUqVNSFTQajXL58mV++ctfSjHKbkSXdDAY5Ac/+AHDw8Po9Xo2NzdZWFjg8uXLbG5u7moC6jCjUqnw+/2cOHFCrmWz2WR5eZkvv/yS5eXlnj0F7gbVapVkMil1nvYi5l0sFqVUzD/90z8RiUT2REn4SREP8WazyZ07d9BoNAwNDWEymbb1/Yi8lV6v5zvf+Q6lUkk23j4pQn5EHCC7C0yEsWs0GiwuLrK6usra2hqXLl0inU7varns86JcLnPv3j02NzcZGBig1WrJSabBYJD333+ft956Syon5/N5lpaWKJfLUjhSzFjSarV4vV7ZNvAo+vr6GBsbk7lVk8mEz+fDarXSbDZlH8vNmze5d+8e9+7dI5/PPzdVjj0zLiaTib6+Pjwej4zbLi8vc+XKFTnBrxuXy8XU1JT8QAYGBojFYtLarqyssLm5qQwFewKsVivBYBC3241Wq6XdbstiikwmcyAqbp6WZrNJsVjEYrFsk7V4lmvuHlz34O8S5d0iP3H37l22trZ69sQtDhaxWAy4H9Z59dVXZYWdmKku5FhGR0cf+3d/m4f3IGKkQaVSYXNzk9u3b0tZ/UKhcCD62Or1utToWlpakkUJJ0+exGKxcOLECQA5xTSZTPLVV1/JSbDCo0mn0xgMBoaGhmQp9qMYHh7m7Nmzsline91F42k+n2dra4vl5WUSiQTVavW5HSr3tFxIDCASyUJhOMRsbFHdYDQaGRsb48KFC1gsFlKpFPl8nrm5Oebm5lhfXycWi8nTjcLjodVqpeqviPGKvoWDUs75tKTTaW7cuIHX66VareLxeIDtDzmNRkMwGJRlyRqNRt741WqVarX6kPqxyLmIB0F3OCOVSpFOp1lZWZFd/b02ivdBKpWKfM+//vWv8fv9nDp1itHRURwOB319fbsuDCtCQclkkvX1dYrFIouLi+TzeRYXF1lZWZGn+27J/YNAu91mZWUFuF/6azAYcLlcjI2N4XA4pJyO1WpleHhY6vuJUQalUgmNRiPHa38THo9H5hHL5TLtdptEIiH3oaiovX79Oqurqw8VT+02e2ZcRBWDmMFgt9sZGxvjlVdeQa/X43a7MRqNhEIhPB4PHo+H/v5+yuUyn376KVtbW3z22WdcvnyZcrlMMpmk2Wwe6gfibiJm5Qjj3Wq1aDQaNBoNqtXqoTfSsViMixcv4nA4SCQScjxu9/7R6/VcuHABk8mETqdDo9FQr9dZW1sjmUySyWS2eXhiuFKr1ZInazHcCu4LXWazWWq1Gvl8/rnJpOwmYqZPMplkbW0Ns9nMD37wA1566SVGR0dluGU3EfI6Kysr/Pa3vyUej3P58mV5gCwWi3Q6HWlUen0NuxGhxrm5ORYWFkgmk4RCIX72s5/JhkpROXfixIlte6v7n4/Tjyaag0VepVKpcOvWLVkR9sknn8gwXKVSeW5io4I9My5iNLEoW9RqtTidTgYGBtBqtbhcLvR6PT6fD6fTiUajIZVKkcvlpLS5kH0Qmk4HaZPtJ6JEUSQThXGp1+vyRH7YjYtQcWg2m2xubu6YJxDl8pVKRVZ/VatVeeITN2Y3IlcRjUZJpVJyX4piCZGsPQiGRSAS9eL0G4vFWFlZod1uy8F9T8qjwoeA7FWZm5uTUy+FxM5h2Jvi8y8UCkSjUTqdDktLS3Q6HaxWq9SxE2OlH4du4yP6jgSNRkMm6peWltjY2CASiZDL5WThxl54f3tmXHK5HPPz85RKJSYnJzEajTKXAsiF1ev1aDQaZmdnuXjxoiyZE/FqIZR3mCubdhPRsCV6GKamplCpVLIhLhqNsrm5KW+Aw0qhUGBxcRGNRsPi4uK2OTYCtVrN3/3d32E0GuUpsN1uUy6XZWz8wUONCIHV63V5GhR0v/6gGBZBu92Ws9QvX77MzZs3pRLybqs6iPUROQExV+Sw7EnhdQlPzGw2s7y8LJUPBgYGMJvNBIPBHZtwH/U7xWd09+5dIpGI/F61WpX56FwuJ0V/hcDnXoUV98y4NBoNstksZrOZSqVCo9FAp9Phdrt3fH2xWGR5eZlYLMbq6irRaHRbyEHh8RDdz2JAmM1mkyNjRdJ0N/WEehWR0AcOxQyWvUAc4lKpFKlUar/fzoGnVqttC5GazWZKpRKNRgObzUar1XrsKkYxObZWq7GwsMDq6qr8XrVaZX19nVKpRK1W2zfPb8+MSyKR4PLly1itVpaWlrb1C+x0qotGo8zNzVEqlchms0oY7BkQXeharVbOQu/lvgsFhcOMCJmKAo94PC77AL+psbcb4e2JkGx3BV2r1ZJd+PtZ/LBnxiWdTssmyU8//fSxfkYxJruD8F5EXFdU5ykoKOw9oroQIJPJ7PO7eX7si3KhYjQUFBQUDjdHQ29dQUFBQWFPUYzLEUAkZkUCUJTPKgUSCgoKz4ujM9DjiCLKZOH+XJGlpSVarRa5XE4K5ykoKCjsNopxOeSIihKVSiXVUEXvhqh7V1BQUNhtFONyBBAGZmZmhl/84he0220ajYYUBlRQUFDYbVSdxyzdUkpXv+Zpqt16Yf2EGKNAdA7vdd7loK5fr/C01ZbKGn6NsgefjcdZP8VzOULspfSDgoLC0eaxPRcFBQUFBYXHRSlFVlBQUFDYdRTjoqCgoKCw6yjGRUFBQUFh11GMi4KCgoLCrqMYFwUFBQWFXUcxLgoKCgoKu45iXBQUFBQUdh3FuCgoKCgo7DqKcVFQUFBQ2HUU46KgoKCgsOsoxkVBQUFBYddRjIuCgoKCwq7z2KrIitz01zyN1ud/+S//Bdi+jt/0ex58nUqlkv+v0+k8tez609L9t3d6f0/Cf/yP//GJ//5//s//GZVKhdFoxGAwUCqVSCQSdDodDAYDarWaYrFILpcDkKMF6vU69XqdSqVCNptFo9HgdrsxGo00Gg1qtRpOp5Pp6WmMRiPRaJRsNovdbsfv91Ov11lYWCCbzZJIJEgmk7jdbk6cOIHVaiUcDuNyuSiVSmSzWTqdDmr1/TOb+KdWq8VkMqFSqdDr9Wg0Grl+9XqdTCZDo9FgYGCAQCDA+vo6n376KSqVinfeeYfR0dFtitbf+973nnj9AP77f//vwNf7R6fTYTKZaLfbpNNpKpUKNpsNu91Oo9Egn8/TaDTkSAa1Wi2vSfyOYrFIPp/HarUyPDws17XZbMp112q1uFwuDAYDtVqNSqVCs9mkWCzSbDbJZrOUy2WcTieBQACVSkW73abT6VCr1ajVauj1eqxWK2q1Wv7tVqtFs9kEkPeHTqdDq9XK9W232+TzeWq1GqVSiVKpBMCf//mfP/H6/at/9a/kZ9ZsNjEajTidTjqdDqlUikqlwvj4OFNTUxSLRW7fvk0+n2dra4tMJkNfXx/T09PodDo56qJarVKr1eTfUKvVOBwOTCYTqVSK1dVVtFotAwMDWK1WTCYTRqMRvV6PzWaj0+mwsLBAPB7ftgZivQWZTIaFhQX599rtNn6/n/7+fgBqtRqdTkf+/kajQalUotVqyevt5m/+5m++db0Uyf094kHj/KQP5O7XP+kDfqeDwbPMBBE3tzB63/b3dnq/T0okEkGlUuF2u7Hb7QA4nU7UajU2mw29Xk8mk0Gr1dJoNCgUCvIG1mg0WCwWjEYjrVaLbDZLvV7n+PHjnDhxgnq9TiKRoNFooNPpcDqdAKRSKVqtFlqtFpvNJh+0er2eRCJBLpejXC5jNptpNBpUq1VarRaNRoNOp8PY2BhDQ0Pk83kWFxdptVp4vV6sVqt8EJRKJebn56lUKtjtdsbGxlCr1WQyGWq1Gjdu3CASidDpdORD/mmNy+rqKiqVCpfLhc1mkw9xsZYOh4N2u02tVqPZbNJut1GpVNuMYfdBR3xPr9fLSae1Wg2NRiMNkcFgQKVSUa/XabVa1Go16vU6KpUKm81Gu92m3W6j1WpRq9Xk83nUajV6vR61Wo3ZbJbvSxgtgVqtxmg00ul05JobjUasVqs8fLRaLfnAdTqduFyup92Ccj3Efus2YMKYplIplpaWKBaLbGxsUCwWKZfLADSbTUqlElqtlnq9vu0+0mg0GI1G1Go1uVyOZDJJIpFgdXUVs9nM2NgYbrcbg8Eg10bcix6PB6PRSLVapVgsAlAsFqlUKvLeq9Vq2Gw2zGYzFosFnU4nv9RqNSaTCYByuUwymZTXLIx4q9XCbrfjcrke+z5WjMs+8LQP9p1+7kGP4lE86nWP8/MPek3in+JLnGaf5n09LqlUSp78DQYDWq0Wq9UqT2kmkwm1Wk2j0aBcLstTt7gJDQaDvAHX19fJZDJcuHCBF198kVgsxsLCArlcjnA4jMPhoFwuk81mpXEym83yBCcMlEqlolAooNfr5cNfnMjb7TYDAwN4PB7K5TKbm5tUKhXg/sNIrVaj0WjIZrOsrKyQz+c5ffq09HDy+TzFYpHZ2VlpWJ81ehCJRORDzOVyoVar5fWJtSwUCuRyOVqtlvzshKEQ3kT3Z67RaNDpdKhUKsrlsvTSxP/T6XQANBoN6vU6jUaDRqOBXq+X19poNOQ/S6WSNGbCs7LZbFSrVdLp9LZ5RHq9Hr1eLw1Pp9ORHk6tVqNQKNBoNLDb7RgMBkwmE2az+anXsdVqyb3gcDio1+uUSiX5uTebTXK5HO12m1KpRDQapVqtyj3YbDblGtXrdWlUdTrdNuOSTCZJpVIkEgm2trZwuVxoNBpp1HQ63bbx5Q6HA5vNJg9Nzeb/1957PVd2Ztfh69ycc0IGiI7sQPaMyOEMLY4pUVMclyzZD3rTg1/sf8xVrnLJocYl2Zpy1UiWODPksMkO7Ah0IwM355zO/T3gtza+exvovgCaZNP+VhWqSeCGc75zzrf3XnvtvQfi6KjweDywWq1IJBKyRlxvj8cDi8WCer2OSqUCm80Gl8sFAOJouN1uJJPJY5/346CNy3eMkzZbeiGv6/Omfd1J0cdJ71X/+2Xvm/Z106JarUqU4na7hV5SKSgaln6/D4/HA6fTKRuV1+tFOBwWg1Ov1xEKhVAsFlGv1+HxeGTjJB3gcrnEWPT7fVitVvF8+eAyIrLb7UInVCoVDAYDhEIhMSRerxc2mw0ejwdut1s2FQCYm5tDKBRCIBDAaDSCx+PB0tIS2u02IpGIbAp8/VnB9RoMBuh2uzAMQ4wcN79+vw/gaDQ2N1Su86TTwEjNNE0xKIz21GiL/3Y6HbRaLVkz0lxWq3XMmPF5ILXGiGc4HMpmTFqJ3rVKFxuGIfQYPXQAEjWdBc1mE4ZhyDVU14bGjBs7AKRSKTkWq9UKm80ma8rfcV2Hw6EYIkZkPp9PokyeKx0Unh+pQ0ZFg8EAo9EIXq9Xrqlpmmi32ygWi7BYLIhEIrDb7eh2u2PRIK+FzWaTSJL3DaNDRpbTQBuX7wjT0FaqgVEfkpOigNMalpMeqmk+56SI51Xfd57cjIqDgwOhYOhpqSObrVYrut0u8vk87HY7otEoHA6HPCjRaBTLy8uwWq348Y9/jH6/j1KphLW1NQyHQ4TDYQQCAaEkPB4PQqEQer0e0uk0arUa5ubmhKMGjvhxj8eDSCSCmZkZDIdDpNNptNtt2O12DAYD2Gw2xONxDAYDRKNRBINB8aRJdfT7fSSTSTmWn/70pxgMBhKlndfrBiCb/2AwQK1Wkw3KYrGg0+mMradpmmi1WrKB8od0EK9lv9+XvAo9anXzp7ECDq9/rVZDuVyWSNNut4/RYg6H44Vj6HQ66Pf7QvnQWDBy4LXg5sj7wePxYDgcwuPxwOFwSORw1vswm81K9Mz70OFwYDgcol6vj9FJsVgMH374IUKhkBiRbDaL9fV1oZh4PQDIZ/DYQ6EQbDYbrFYrnE6nUG6tVgvtdhsOh0NoYdKzNLIOhwPRaBRutxvtdluM0vPnzzEajTA/Pw+Xy4VGoyHrx7U1TXOMtmWUysg0k8lMvV7auGh8a3gduRaC3D1zAtzIJiMk1eslTeJ2u8eSm9z8DMOQZKrT6YRpmigUCvKgud1u8XTpedJro4fI77Xb7fB6vRgMBnC73RIRMqdwnHG22WySwwEOefFisYheryeeMROq541aAJyYOyEm15PGhoaFhprRCXMQXHee13EOkfo9vD70mLn5Hhe9cw1IAfFa8FwYEfG9pKgASGTEY5s0dqfFcfcXry+hijgcDgdcLteYYZ78PHUT5+fxO0hN8X2MEjudjhheOlWkFlVMOnlqNMn38N7kNeB9wdfx/+kEMCqbBtq4fMc4TyQyqdQ56fMnP0+9gdXXnURdnbQhTH73tEKByWjsLHj//fdhmibK5TKy2SwGgwEikcjYazweDxKJBDqdDtLpNADg1q1bWFlZQa1Ww/3792GapqjL2u02hsMhnE4nYrEYTNPEgwcP8OjRI7hcLqG85ufnMTc3BwCo1WpotVrIZrMwTROpVAqBQACDwUA+o16vy4NvtVpRr9dFMOByuWTdvF4vhsMhWq0Wms0mNjY2RFX0zjvvwGq14s6dO9jf30c8Hsfs7CwsFgv+4i/+4kxryCQ+uX1SL+rm1uv1hDJj8pabNKm/4XCIUqmETqcjFB//brPZJOnc6/UAYOwzAoGA5Ena7bb8jhQkjTmPsVaroV6vw2azIRAISK6NSW3mWrjJN5tN2RAjkYjQRqRMzxO5zM3NwWKxIBQKwe12C2Xa6/Xg9/vFgDDvMxwO0Ww2ZV0YBQJHiXLmEGlUuC6kb9XIh+vT7XbR6XQk+lQVcowsC4XCGCPidrtx69YtjEYjdDodPH78WPJgVPM5HA4RIHQ6HVQqFQBAIpGA1+tFqVRCOp0eM6YvgzYu3zHUjf44GoyY3PhP4/2rn3sSNXWSwTnudefB60roz87OYjgcotFooNFowOfzvfDZdrtdqBDyz5QeNxoNMUp+v188MT7UVB11Oh0UCgXxOoPBIC5cuCCfUa/X0Ww2USgUMBgMRFZK2oveJR9aAJKoptfJzY4bOiXRe3t72NzcRK/XwzvvvAPDMERsQNrqPNeDGzLpFlIuKjcPQHImLpdLohX+0AhQ8k06jF49czhqxAAcRSdutxtWqxW9Xk8+g5+jKsf4Q+Ogbtz84RoziqRxpIDD6/XK73htmEg/C1TjzO9VZck8P+b7GCEQw+FwbE14HDQ8an6KykWPxyP3EdeHkRyjiGAw+MKat1qtsbW02+1IpVIYjUZC86oREiN8fibvWV5XRuONRuMFocBJ0MblO8ZxxuRlKrCXveZV3/Gy9502wpgm5/K6DMlxIJUVi8UkQQ4cJdZJcVWrVYxGIywvL4u3Sw0/N0Y+iB6PRxLLxLVr1xAKhVAoFLC9vY3hcIhqtSobu8/ng9VqxczMDADgypUrSKVScDqdSKfTYwKAYDCIaDSK0WiEUCiETqcjGwVpJtYrWCwWLCwswOl0IhKJIJfLyeYQi8UQDAalzuOsoBiBm1S/3xehBOkbRhWMwACIiIJSYjWJT0OlbqQq9cIoiOer1sx4PB45jlqtJhsnAEne81rTiLNuiQaRFBjX1e12Sz6HBpNJa/571vuUxrDX60k0pUqhASAajWJ2dhatVgtbW1vodruIRqNj0W2328XBwQEajQYCgYCsbzweF4OiytpVEUAoFEIsFpPomU4KVXjqNQAw5uwwGpqbm8PKyorkF61Wq9QeAZDrwiiQdJjP58OFCxemXi9tXL5jvIzSetl7TvPayYjkLAn7af5+HFX2bYFy32QyiUgkMib/5LEwZ+H3+3Ht2jV5aGlcPB4PBoOBeGx+vx/xeFz4a+CQRvvpT3+Kr776CgcHB1Lk1+/3EY/HRfZst9vhcDjw7rvvYmVlBXt7e3j8+LFsaNwUFxYWYJqmFFrSkHHDpXGx2+1wOp1IpVIiIuj3+yIGiEQiYoTOCtJErIFgQpyeLfNShmFIBEdjzKRyu90ey10wEmJiX80dsGCSlJmaI2HCnRtXo9EYM0CMgCiTBiDGpdVqiVCCFKcq9PD5fKKI4+bKH1J1ZwFpIsp3Q6EQ5ubmZL1GoxESiQQuX76Mvb09/MM//ANyuRxWVlYwOzsLn88nhuH+/fvY29tDKBRCNBpFIpHApUuXpEan1+uhVquJk8GcSjKZxOzsLMrlsiT3uS6MaNT1YM6Ka+l2u/H2229jcXFR6nFoSGjwud78G6nbUCiE5eVlrRb7IeF1Kape52dMft5xydbXkUuZFkwukj6gimU0GqFSqYhmX61nIDdPCXA4HJYNUqUWKOMEIFXQfr8f0WgU/X5fFFtqYpgPM6myUqmEXC4nPDpzLZVKRXh5eqGkU0hd0FtnroI0C/ME5OBPk0w9DvweetyMPHj/8dhoIPk3nm+/3xfJr5rk5yZmsVjkO3jPqAq0yd+pRZpcX0aV/Jfrw3yCKotVVWzM6ahFoGqth2pAz3q/qgIHHgvPi/cTDdhwOITb7ZZ7kOvb6XTQ6/WEcvX5fGIgeQ+y9kiluUgFUumnKvTU4yPNyUibxl+9Bu12G7VaTe4nHj/l0Lze6rVQ131aalYblzcAr6KYjtvYT0ObndV4nfSd9E5fhwpsWrBlBXMW3CCHwyHu3buHZrMplEEkEsH8/LxU8o9GIwQCASSTSbTbbTx58gSlUgnValVyIfV6HVarFdFoFH6/H/Pz8/jxj38smwFVXfRSDw4OJBqqVCpYX1/H7du3AQAzMzPC91erVZRKJUnoM4/AXIJapxOLxRAKheBwOOD1etFsNvHrX/9augGc5sE+Do1GA4ZhIBAIiPiA9BbrT+jhAxiLGIrFonwOowlumszfMTrh/cpIgq+h4WUUyip15ki4maqf1e12pS6G4oFgMCi0WK/XG+sEoBZPMhoNBAJSJDqp2DoNeC4UetBQDQYDtNttNBoNSXo3m00sLCwgFouJIep0OqjX6xiNRpiZmcHMzMyY8o0dFFKplBROMmcSCoXg8XhQKpWws7MjhsThcMh18/l80o6GDpSaR2PUub29jVwuJ//Pa0EKmFEhc0uqlDuXy029Xj8Y40LPZVKSqfKoZ03UvUk4zpBM/v673NS/ayNyEtSHRN1kuUm3Wi0pHKO3xloIUgXkx1U5Mb1NJszpnXMDtdlsslnxOOjlqd0A6vU66vW6GB+r1Ypms4larYZmsykeIQDx8DudzlginKoep9OJQCAwVv1Ob/I84DpwM1ZbvNDzViXGfNZIL3HNeaxq4eOkBJmYlCjTE2akwwjppM9Ro1W+n9Eoo071s0kRMYLgc8PvPY+km5EKIyBV6sz9hxFpv98X8QLBvxuGIXkkgg4Or9Nx3808EiN01nqpUmTV4E2qUrkWXLfjEvOkE/l6nh+VeapA4VV4440LNwWHw4FPPvkEf/InfyI3bKfTwWeffYa1tTWUSiUcHBy88QbmuChi2qjjpE1+Glny5O+OM1QvS+RPHserIqfXnfDnRtZqtVAul0WN43a78ad/+qcIh8O4c+cOvvjiCyQSCcTjcQQCATx69AhbW1sIhUJYXFyEYRjyEKufTS/96dOnWFtbk0aXKr2iNnGcnZ2FYRhSEBkOh7G8vAzTNGXjoMyUDyYArKysYHV1FYVCQTzcnZ0ddLtd3Lp1S/Ie2WxWpL5LS0tj1dxnRavVElECk/kHBwfSjYAGmc0smavihs6Nh54tDbGaZ1ILA7l2drsd8Xhc2u+02+0xQzO5eVGOy7wavyuTycBms4mAot1uS0sbSmnpgTNyAg5zJbVaTQQUZ3WW/H4/gMPIhbRrLBaTnASjqYODA/kO1mOZpinRDot6KTzgPbm+vj4mPmi32yJQYZ7H4XBI41VGKZlMBplMRooq1WJS1WGgo0glJA0SJc8Wi2WsFxrfT+eCAo1pn+M33rjQGns8HnzwwQf4D//hP8hGw3YL9AYymcwbb1yAF6OTaS7WSUZgGsNy1ojnOOOnepY8j+8i56Ly6bVaTZLq1O9fuXIFe3t7WF9flz5d3W4XX3/9NW7fvo35+Xm0Wi3p+qp6lJRaDodDbGxsIJ/Py8YHQDZReuusi2HlPGsvUqnUWPdibtbcOC0WC2ZmZnD58mVYLBZpbLixsYF6vY5UKoWFhQXxTlmTk0wmX8sasr0Io7lms4n9/X0MBgOkUin4/X7JWXGjV1ucqF2I6f1SvcV1Ufl9RmcAJI/FSnQml/l8U3FGg6J2B2AEWiqVZGPmeZRKJam/Uemd0WgkCjO1FuU8tBibO7pcLrhcLvj9fqRSKTEozI1Rys66HFWgwHuCDUzViIrRGNdZjYJISy4sLIih9vv9QsmxQzjbDNGp4ecQXG/2DWM7nVAoJA4RjTRrgnj/81pPizfWuASDQaRSKbhcLsRiMXi9XukFRY6SN80PAedN2p9ET51HsvwqnETRnWR0vk2QHqGn5ff7sbq6imAwiG63Kx7sysoKgsGg1LrQEIRCobF+VgDkwePGOBqN5OFXvVwmtkOhkHRMpmccDAZFZsrCTSanSdm5XC4xKNVqFQ8fPkQulxOZ7szMjLSBoYdNJRVbdNDbPA943qxhGAwGkhuiwaUXribbgSNakp44PWy73T6W2wLGK+7531R49Xo9yY/wejL3pMqEmZehJ85NkEaFiio6OaQr1aQ7N3bVMTiP88kNvlQqAQCSyaREmiycZZRnGIZEMxQ98HkaDoeSUOf5NZtNSe6zbZDb7RZng4aeDVQZSYxGh12RSaVSqs9IRaV+KS2m7JiOkBoRM2elOga8DjRM0+KNNS4zMzP4+OOPhc5gCLq5uSk3DpOQPwScVbY7yZeqv+dGq36mGk1MY3hedSwnfcZxHLn6t9cdzagbj8ViQTKZxIcffgi3241KpYLHjx/DZrPhgw8+AAAJ4b1eL1ZWVhAKhSSHQnAGi8PhkC7BTGTSg2fdCdU9wWAQ7XYb2WwWwGHV9tzcHAaDAZ4+fYrRaCTRDGW/4XAY7777LkajEW7fvo0vv/xyzNN/++23ZSPMZrNjFNvW1hYymYzM5ziPEee5c3MxTRORSASGcVQYyI3bMAwp4KMhYbTBzbHX6yGZTCKZTArNpibtuXEywuh0OgiHw2L8GZ1Mtseh5817igaBNR00fpQ5TxoX5kQCgcBYexM1R3QWbG1tiTqxXq9jcXFRIo9MJoNarQa/349QKCS960zTRCAQEGeBhnKSZXE4HIjH41Jg2u12EQwGcfHiRQCQmTQ0YqzpstlsuH79Oubn58UBGQ6HMrKB61ev16X5J2uKKBZQwVEFwNGzzXVVOzpMdb+deaVfI1TpHJN1sVgMs7OzCAQCiEQiUj26u7srDyYpElp1ejb8LD5Ak/1/fohQjcVpH5Czvu9NAjchm80Gr9c7tvnwYQQgtAcfKip8qBZS5aNq7kitD6AHSSPBimufzyedi5l/abfbojijgaDH53K5hJtnh2TgMPehJnNp1KiE4yZA8DjPW6HPz+LacMMAjmaS0KNV1UKMctRjUZPwzMPw7/w80iikVCbzN4wI+RpVWksHRXVi1FyC+jeuOeW/6nXgdebnnmcfUBPtvI8Y+apRG6M7tXsAqTrep4xmqM5jTobXQd23eO3VhqDHPctU//G7eC0mRRLMH6odFfi3Xq8nNUeqgk/N+f2gci7k/FwuF1ZWVpBIJHDjxg384he/gN1uR6PRQKfTwW9+8xv8wz/8g8zwMAwDBwcHqNVqGA6HSCQSItuz2+0ol8tSA0Fr/X1BvSCT0ca075v8/atyN5Mb6Ms+76RN61V5lZO+/3UbNFZHJxIJrK6uwul04vnz52NKKz78atHZ0tKSeMr0fNXjYj6EVMfs7CwikchYDQWpipmZGczPz2NjYwOfffYZKpUKCoWCdAuIRCKo1Wq4ffs2qtUq/vW//td4//334fP5kEwmpcrZbrcLTUH6x+FwSAfbSbUOOymz/ch5oF6PQCCAlZUVDIdDfPPNN8hms9Jx2O/348KFC3C73Xj+/PnYwDJ2KLDZbMjn87h//z5cLhdmZmbE6WMu6c6dO3C5XPijP/ojJBIJ+P1+hMNhmKYpxY6lUkmq1RkFbW9vSxKbGyq9bKfTOZan6XQ6KBaLMM3DGTqpVEp60AGH0WUkEhH13llBhyYej4vDwWvFqI7nx/YtTMxzkFqn04HL5cL169cRjUaxv7+P3d1diWYsFotIp3O5HPL5vBRs0ijTMCcSCVgsFpRKJZk91Ov1JBJXFYGk4Kgua7VacDqdCIVCImk2DAO5XA5PnjyB3+/H4uKinJPP50Ov1xODPQ3eCOOiVtbOzMxgcXERKysrWFpagsViwe7urnDaX375JZxOJ+LxuITxlP3R40wkEsKhqw/q94nJpPqr8hmql0DvZZJaO476Os15npTHmfys06jUpj3P04KtU9xuN2KxmFTOA5AKd9VwkEtm0pXqL3p1AIRG4EPJSCcej495e9zgAoGAOEEcJtZqteRhTqVSsFqtMujJMA4rqnlvUk3Fmgd623xg+TvmZpi7YQJZbXp5FkxGv6T86DlT8EAvNRgMSpSo0lOGYcjvs9ksCoUCAoGAnD+l3aVSCevr6/B6vbh58+aYgo6ePVu/kM8n7ciIlPQav1ct6lOLWknJxeNxee55DWZnZ+F0OkUOftb7kd/Jqnq1VxmvLc+P+StuyFwTOsKk7djvjpSXel/yPWwJo3YCpwjFMAyRutOQ0fiS0qJAQI1cGBkzD8nntNlsolQqSd5GFVTxHvlBGBcalNnZWfzLf/kvEY1GsbS0hFgshlQqJZRGJBKBw+GQeRbHDa1ZWVnBe++9h0AggIWFBbjdbqytrWFjYwMHBwf48ssv35j8zOTF4UXPZrMiKeRUwkePHmFnZwfhcBgLCwswDEOoQI5t5YMIYCy3wHkODx8+RKlUEg+k0+mgXC5jOBzC5/PJBktulZEfQ3ZSQuSybTabzJTnBm61WlEulyUhzZCa5zZZTXxaxGIx+SwaCdaT8Nj4gLC/l2maeP78OXK5nOTpBoMB8vk82u02vF4v/H6/yDoZ8TCK4ffxPAqFAu7du4dqtSp5mHq9jna7jVKpJOrFixcvYnV1FX6/X6ZIApCCTFZms8qcCh8mxieppdFohMXFRdy4cWNM5XZacBPnsKtKpYJnz57JBsR7o1qtotfriWHY399HoVCQZpA8VnrXXq9XFEaj0UhqfmKxGP78z/8cLpcLy8vLCIVCY6+lEoptRxghUuTAWh+r1Srjd9nXi8npeDyOfr8vXj3fEwwGcfXqVTGKbKNymoT0JJiXY1EhDYthGDI/iEIjFi2y2wKVjcxz5PN5KQa+evWqTCtl/zFGd2p/NVK0jLYplaeDTSrTbrfL2rI2kIpGysFpnIDDPMvjx49FIHXx4kVEIhEsLy/LrCKqM38wCX2fz4dEIoErV67gr/7qr7CwsCDDl1QVCE+OtQj0WmlVSVn84he/QCwWw8WLF+H1enH79m3cvXsXjx49wv37998I43Kc1eemWCgUcP/+fSwuLuKjjz5CJBLB7373O9y9exerq6uYn5+HYRioVqsyPZE1CVTEJBIJaZEdDodRKBTw5ZdfYnd3F3Nzc/B6veh2u9jf30e/30cqlZIEJEP2WCwmXVDpPSaTSbhcLmmPvrm5iWw2K8bF6XSKcWFFslp9zBv/rJ53LBYDcMjvqxSAym+TbmRBWrfbRaFQgGma0geq2+3iyZMnKBaLuHjx4lhLc76XCc1JHBwcIJPJIBgM4tKlS0gmk3j27BkajQaq1SoqlQq8Xi/effddRCIRBAIBHBwcyIbNjYDfybWhR06ZNDdSXpPB4HCq5bvvvnsuKS2NC73sSqWCarUq18Tv96PRaCCTyaDRaEgTyGw2K84Jk/zMhdJQkm5ht+NarYalpSV88sknIgkejUZS2U+5MSvseS9TDDAzMzOW41C7HDACCYVCMmDN6/Wi3+/L5ss+WIPBAM+ePUM2m4XX6z1X889oNArDMOQcmBOxWq1SV8XjJA0LHFX0t9ttiWhyuRxyuRwuX76Mq1evSuTV6XQQi8Xku5jPYV6K61StVrG7uytRHr9H7QsGQOg0tbU/5yEx39ZoNPDll18in8/jwoULuHz5sohKGAXRsLHWZxp8r8bF7/djbm4OyWRSejqpkQlvJuZcMpnMGO1is9kwNzcnC6FO+SM/q7ZAeBOgSjS5qTH0n5mZwerqKlKplNAOwWBQblyKHZLJJMLhsBQ+qbQZ+waZ5uHYWXr3qtSUbU6YAOXxqNwrcETJqbp7bry1Wk34eZ4H5btsIa5KSanHPytoRGu1mkQWwGFEVCgUhPZqNBrSVp/1GvTgSF/wAWFkTFmnWkxIioHXDDjq+US6gQaB9xxblNBD5XheVvKrlAzzP+TqLZbD+TL0dnl/01CzfsJut5+57mUyimQ0RwUWIw/1PiAFxnuIv2c7GtIwvM7AEa2jUlo8LxrwZrOJYrGIfr8v3jZ/B0CiAjXipNhBlYtzw1SpH0pvWZDJhD6ni57VuJBqcrvd4qSxYzbVdLyfeO8D4zQtR0IwOmw2m6hWq5KTUYso1foidtom9cbrwXuReTsegyokoGTc6XTK/7NRJTuFc/6MzWYbGylNCo3HdFxV/0n43oyLYRhYXl7Gxx9/jIWFBSSTSfGcqtUq7ty5g7/7u79DrVZDpVJBp9PB5uam8MYM8z755BO8//77eOutt3D16lWJZPjAlEql7z2Zr54zHwxGARQnkDr4yU9+ApfLJfz1lStXYLVa4ff7EQwG4XK5cPPmTXi9XhQKBaGmVClrNptFIBBAPB5Ht9uFx+PB7OysKJI8Hg/ee+89WCwW5PN51Ot1MciMAEgR8aFuNBoYjUZ4+vQpcrkcEokEFhcXxSvi9YhEIkJ5ABCaotlsjnlZp0UsFkO/38fTp0/xzTffCGfNnJwqXggEArh8+TI8Hg/K5bI0BOQDf/HixTGvsNvtIpfLSSTHxPz29rZU3HMTZgKUm18sFkMymRxTCdGj3d/fl+iOGy3Xmfc5r7vb7UY6nUYul0MgEMDc3JzkWUajwx5lX3zxBSwWC/7tv/23Z1pDXlufzye1EUzUst8acCiaoHGw2+1C8XEz5HWYHLcLQCIKn88nCftOp4P9/X00Gg0xCo1GA/v7+zBNU3ppVSoV6ZtF40f6jc1Be72eFHyGQiHpMxYMBjEYDFAsFmW/YHsdPmOzs7On6uo7Ccq26cTWajWsra2JcCSZTAoty/VWFWF8DpkPYp8wGkJG2aS1mQrodrvY2dlBrVZDKpVCKpWCw+FAIpGQTZ9Jft6DNDhcf5vNJkWstVoNe3t7UiMGAJcvX8ZwOEShUBCZdCKREIPC/fM0z+/3Ylx4g1EdwpyKYRiSKM3lctja2hK6gdQCbxav14tAIICZmRksLS0JFcSIRa1wPY3C4dsCj0ulQlRNPiMLerHcoBi90Bsmd+vz+caUL2phIG8ocqjcVFXPlRtzqVQaqyifpK2YQKTHU6/XUS6XRblE6lL1to+LFs/bG4vKIDXXws9l+3huhqw18Xq90lWYx8gNnrPPeayTXhl/p7bNUCk+rgtrYtQpjfV6XXjwdrst97satXLd6BlarYczNSgQoBepRkpsPHmeNeTzw7VSDSLl/DQsPGa1jxU92larhUajIRs81wvAWFQEQDY5ric3Uxpota8ZrxHvd0asPEaVueDzo4ovuK4ApDhTlfPynM4CRr6qLJq1Njw33mfAuCqUx60+H1wH5kfU95Mu5HlT1s11mqSCuSY8d669eq5qcaVaX0TnlfkiNZfD6zepspwG37lxcbvduHnzJhKJBH7+85/jgw8+gMPhECXF3//93+POnTvY2dnB48ePJRTmjR+LxbC8vIxPP/0UyWQS7777LhYXFyV0J0ajEbLZrEgsv+9K/gsXLmA0GolnxYeNYSgfItM0pd8UlSIMj5lk//3vfy+yViazyTWTTisWi9ja2kK9Xpe5DW+99RZWVlaEmzVNE8ViEc+ePYPVapVuvBcvXhyLZNSq50QiIfwtvXI+1Nys6d0BEI4XOGqfcRaUy2WY5uFclGvXroljARwKIRjm0zPnpMmDgwNsbW3JRsQ+V1RFccPhXBdGd06nUwrTWMRbLBZRLBYlUqSYQJ2KSePX6XQQjUZFXaaKUigEYM+rx48fo1arwefzIR6PAzjM7/C4eL045visYKddv98vOQpGbMy1RaNRxGIx2TipEOJmx3WloUomk7h8+TIajQaeP38ureCpAPV6vRKdMKHv9XrR6XQwNzc31q+Na0eDRoPA+zKVSklvskajAY/Hg0AgIPNvmOT3er3iYKn1IltbW8jlcjAMA3/8x3986vX7/e9/D6vViqWlJczMzCCfz4sMvVKpYHd3F8ViUQoYqf4ija2KEkjZcZ0AyH00HA6Rz+clp0UmIxgMot/vY2trS+5BAEKnceyE3+/Hj3/8Y0SjUcl/GYYhRZ2JREJyN4ySuH+oveU2NzdhsVhEen3aesHv3Lg4HA5p3vf222/j0qVL6PV6yOVyqFQq+Oqrr/DrX/8azWZTNhSCSdKlpSV8+umnWFhYkBv2OJTLZWxvb4uK5/tEKpWCaZqSE+DNz42bzfxUVVK9Xsfq6ipmZmbEY26321hbW0Mmk8GlS5dw6dIlMS6s8g0EAtJvqFKpYH9/H7VaDfPz8yKYoNSxXq9L6xS28lhZWQGAseIpeu/M/bRaLVSrVfG0VC+eqiIAwhUbhnGuZDR7bfl8PszPzyMUCmFpaUk8OHVkrloDUS6Xsbu7K8ek9lVSG0syD8NELAt5PR4PVldXEQqFsLm5OZY3Iu/NzYxGlB15WZvCOhen0yniB3Lte3t7+Oyzz7C3t4eLFy8ikUjIJsSaBx431UpnBb1T9frXajXh5O12u9CdbKlD567ZbEqXAjUKCwaDWFxcFGeGnjDXluqiUCiEXq+HSCSCcDgsFeikiKju4+hiVZLP3EokEkG73cbe3p7kLCg8IX2uKiL5nLHWo1arSXR1FqytrY0VHJJOJuNCx5HNH9PptCThKZphVKtKmNWBZ3SKa7WabPis3fN4PDg4OEA+n5daJIvFIjLker0uOatkMomlpSVpikoF5Wg0QjAYRCQSGYtg1c8aDocyOgCAKPm4jtPiOzUuDMkTicTYvI1Op4O9vT3kcjkUCgU0m82xjqysX7l+/Tpu3LiBlZUVUTRNti8AjqqNmdymB/Z94v79+zBNE5lMRrxfPoQq5UMVTSgUGhs2NBweztRgHok1HtFoVJrYkTaj/HF2dhZ+v1+Mmt/vH1sL3vjz8/NSkc41ZYKSRoJzKJiYpEdLg+Z0OsfahNBQcqNvNBqo1WpnpicfP34sSh1OlJxsUU4KjEl20irhcFgMsOoFcuMhzUEDTvqHeSOei9/vF86chpWvYet9tciNm4phGCiXywAgBXP0NCnZZVQ+2abdYrGI/JZFdmcFPdhut4tsNivnTVqH+SeKDwKBgEhq2ROMx+fxeNDv97G5uSkcPdkBbkJcIzXpTFUUk/oqRcbIG4DQufTu1U00HA6PFfaRVqSBVMUlPLderyd1SmelFtX6J/bfYr6JtDYZFOY5hsOhjDnm+djtdona1HwV6XvmsQzDQLFYFGNO549rTYcqHA4jGo3K3lEqlbC5uSm1RoxYeH3oZKg0nCpPJjuh1n7xGryRxoU3Mqvwr1+/LqqXer2OBw8eSLVquVwWno+Jq1AohF/+8pf4q7/6K7jdboRCoWNzBFwsWnJOB/y+cy5///d/Lw8vJbSUnlJN1Wq1pPldKpUaaz3SbDaRTqclGVcsFmEYBhYWFsS4WCwWMcx+vx+XL19Gu91GIpGQpDZrEEqlkiSo+aCyhTd7F9HYqMlXSpHpCTHSiUQiODg4kJnc3KwpKy+VStje3j5zBPmP//iPsNlsuHnzJi5evCgjjdUan3q9jv39fZGoUjo5MzMjXprX68WFCxcQj8dRKBSQy+XEa2QC2e12o1wuY39/H8ARv88xxyyepEKNA8HS6TRsNhtmZ2fFsKRSKVSrVWxtbaHRaGBzc1M6+TL3s7i4+ILiivVL3OxzuZw0ajwrCoUCRqOReNfJZBJvv/22dB2mQa3VanC5XDLTvVarodVqibFmVDYajfD73/8en332GWZmZvBnf/ZniEQiQkfVajXs7+8LFedwOEQRpvL+LAK02+3STYH1Qyw4NAxDjMvs7KzkIamyotSdAhMAouiq1+vodDp46623cOvWrTPXCrHfG2uh3G63dCqgcVGl1nSmaAwpo7ZYLJifnxdVIveEZrOJ4XAo9yBrX6xWK+bm5uDxeGQYXiaTwfr6OgaDARYWFnDhwgU0Gg0RsHz11VfyPPNHVd/xGaUjQDqbz0ulUpHoluAePi2+M+NCy0t6gp42ZZrUfasKD3LUbN9A3pZhKHCUPOSi8WZVBzR934aFoCfPBDB1/QAkWcdQmfkOenlq40b+Td1YaWjJv6rvUUPuyYQeNxVy4WzHQZqO1dQnnY9pHraW4IPBiIzHo3ZfPQ/UKm1iUsHC81QTyUxQq8lcVYDAyIqv4d95zKSO+HmspGcinEaU9yE3QQAiRSatpMpxeayk1dxut6yVyntTcMF1PQ9YxKrSgUzQq7NZKIOl58p7E4DcW7y/+LmqPJjXg56xKl5QrwHXmJQrN2613T97t500wEqt1Oc1Ur1r7jt04tQcz1mg5hjVSHfyNXSkVYkwz1Xdk1SpL50Ynhd/GI3xxzAM6VvHiJLUIZ1MHhOPk/euKnGnLFwVmajvIY575qbBd2ZcyJkmk0ksLi5ieXlZalfW19fxT//0T9jZ2UGj0RBOcGlpCfF4HJ9++imWlpYkcV8oFPDVV1+h2+1iZmZGWqEnEgm02208evQIuVxORtG+Cbh06RIsFgvC4bDIc0kl7e7uyqwKdZMyTVO8LtI6NpsNMzMzQg2tra3Jw2qxWISbLRaLQsHwgWRXX9Is7XYb33zzDba3t/Hee+/h5s2baDQaWF9fx8HBAVZXV6UQjdw2gLGqatM0cfv2bUnusnU86bh0Oi0FhPRKz4LV1VWpvAaOogk+MAAk+anOa/F4PFLTw409nU6jXC6LWpE9lgzDwP7+PjKZDOr1uuTHGLXxe8LhMC5duiRJUbvdjlwuB5/PJz21aEyo2mP1dTgcRiKRQCAQELqOVArpzmg0ips3bwIAvv76axwcHCAajUoX3rNidXUVwNGm32g0ZMAeDYPL5UKz2ZQcAoAxo0cZNvN4MzMz+Iu/+AsRHKj0KPNQ3FBJA8XjcTSbTezt7Qkd5na7pbZNTcYDGFOJ8vNZZ8XIGDgSBKiNH8kCsF7k7t27GI1G+LM/+7NTrx9pKEb6VKqpa0TweJlrZM2Z2tHZMAypbXI4HIhGo2KsKIHnfUkDpXacppMUiUQwGo2QSqXws5/9DBaLRaTmqhPZaDRkDwqHwygWizLYTG3syuiWrA/ZCtKL0+I7My70DikRpW6eyo90Oo1MJiOeXCQSkTnTV69elWaF9AypDlHrByh5LJVKoiB6U0BuNZlMIhaLyY3SbrdxcHAgF00thAIgNSZslQNAFDgAZFIdKRN6N5R0j0YjMUqq1JkNEsnlc/YJp98VCgWpk+FGTvAhosqPxa5er1fahrMqm5JGRhFnbQHDOSqT7SdUr4oPntr9WJWrcs0Y1dI48J4DjqTN3KRYA6Mm8ofDIa5fvy6qK264ao6iUqnIT7PZlGRqKBQS7p/3ASMttTEjOxIwx8F25+eJXihaoEcMQOos1O4X9O6Z3CWYiyOF02w2EY1GEY/HhXJUPWaularYogFTcyo0bJQ4M3IBDqlOeuV0yujtsyCYBpfPP68znweKXUqlktSSnAX08gFIJKR+t1rjxOiBx8B1YYRIuonyc64vi0IpVOHobh4zIzHVaeLex3yiYRwVvqrybkqzmTsjA8QoGoAo2ah4ZIElcJRymNZh/14r9JlsXVxcxMcff4xCoSAUWDAYlMp9SiPv3r2Lp0+fIpvN4s6dO7Kwqkc8GAxkhCxbILwpIKVSrVZFoaHSRrw51RCYyTTDMERqyZYbgUBAQl7g8EHe2tqSm5ObKg1LPp9HOp0e8/iWlpYkAf7s2TOZuWGxWDA7O4t4PC6RDkUSrHhPpVKo1+vY3d2VynkWhrL3m8/ng9/vR6VSEa79LCA1xD5gvV5P1ITcDBnu00CMRiOsra1hb28PqVQKV65cwWg0wubmpgg9AIg4gPcQVXGzs7MYDA6nDDabTRknm8vlcPfuXWlfxPMrlUoYDAa4du2a5EsymYxEL6QJAUgym0pJ5hK4pn/zN38jG7PFYkG9XsfOzg4sFsuZZLQA8Pz58zG1GOXSXDtugqRp2GqfmwxbCnGdjqv5GI1GKJfLooqi03LhwgWRDT9//lwicDpZVOexCJf3m7ombGDL/E2lUpExzTQ+jP64L6gUHIAxY3RaqAaf4gN20FZrT+x2u7QpGg6Hkh/iNR+NRqK6JOXFyIYiAY/Hg06nI8aQzw2FAXQC2WOMoglu/hT8kOJSRQftdluexZmZmTHDmE6npQce7z3mik7LOnyvxoUJOPbSarfbuHHjBhYXF4Un5Ybc7XZx9+5d/M3f/A0qlQq2t7fhcDhw7do1XLx4UR5aVumyP9KbQosRVGvxAadxocej5g9oXNjRlWof0j+TRVTD4RDb29vI5/OIx+NYWlqSaMEwDsdA7+/vIxAI4MKFC3C5XFhcXMT8/Lw89PSuw+Ew5ubmEIvF0Gg0ZC3JgadSKUmU82alceEN7XA4cOnSJcRisbGq9rNAjZZCoRDK5TLK5bJw1YZhCEVFeqTf7+PZs2e4d+8efvzjH+NnP/sZhsMhstkstra2AED6ND148ADdbhdXrlzB3Nwc4vE4rl69CtM0EQwGpVnixsaGdLp1OBxYXl6WJDb7vd24cQOBQABff/017t69K0aZnv9oNJLEdrVaxf3799FsNvHLX/4S169fx6NHj/Bf/st/Qb/fx09+8hMsLCyIEOM82NjYgGEYkmB2OA7nsQMY87hZAMooggn9cDgMj8cz5gSpFC6Hf1ER2Wq1UK/XEQwGcf36daRSKWxubmJrawvRaBQ//vGPRZpttx+O1kgkEiJP7vV6WFlZweLiIjY3N/Ho0SMZZObz+VCpVEQ2zv5dmUxGOlT4/f6xaAKA0D5nAWu3CI/HIwl9PseMRMkIkJGgCpMRC5kI1dAxz8QUQjabFZqQoCPAUgC16zL3TF4ztXElx3CznKHZbMLr9UoPt3K5LGmKvb09uN1uRKNRUZ8Sb2QRJYvp2u02yuUy8vm8qJFcLheSySS63a5YdErtqLcnl83ZD9TT05vihDzKRDn57k0BH2K1xoXSVZfLhXA4LLUpar0IKS3WefDish5A5aLp1bEIUFXO8X3s4UaPn94Oi+iGwyEqlYp4r6zyZ9iscsxc35mZGYlCVQUfuWMew3mSqdT8c2Om4o4hPT1UDjpi2J9KpdDv9xGLxSQ5TrllIBAQxRaLA1U6h8aQeR3W1qjCgU6nI3NDuC7cWFlnRNAZIEVRLpfR6x1Oc+SmwYaV8/PzktuiWOK8tVpqHzl680zeU9hAqJsIJ3LyGRuNRkJPqhQk1w04fN7pPDKapUGiA3BwcAC32y2TGulE8pi4abNWis6mmuBWQYEG+8rxPNRIiwWLZ0G5XIbFYhFmxek8HEtN2pKUL50drgsNTb1el9eo8l/2G2PEwNxOvV5/QZDU6XTk+WQ+1ev1jkVoXGMm/tV6I+7DNHKMTNgFRR1mRoPI544igmkVi9+ZceHD5HA48OjRI9jtdqysrODChQsIhUK4desWTNOUBz2TyeCrr75CPp/Hb3/7WxwcHGB/fx/7+/vycLNG4/Lly/IdtVoNGxsbePr0qSQk3wRcu3ZNIgsaS7aCj0QimJ2dFU+XvDzn1sRiMRk/2ul0kMvl0Gg0pF+Q2+1GPB4XT5IeG29Ahs/sFAsccev0et5++218+OGHaLfb+PLLL1EoFNBqtYTW4PdQJs5oxW6348MPPxTqhp4lAPHU6vU6arWa5IfOgkQiAeCQs2YSkpQhH/SdnR1sbm7C5XJhfn4ebrcbP//5z+H3+3FwcIAHDx7ANA8rlJeWlhCJRBCNRiXJSaMMQGg3rpXFYsGlS5dw5cqVsdqA3/3ud9jY2EAsFsPCwgKazSbu3buHweCwG+/m5qbcp8x1OBwO1Ot1PH36FKFQCH/8x3+MaDSKdDqNe/fuwe/34xe/+AWGwyGeP3+O/f19uRbnicRTqZScj9qChPcZxR6UJFcqFVgshw1VWSOlJrXZfYAbpqqkGo0OZ7svLCxIlE6HKBAIoNFo4J/+6Z9gmiaWl5dl9jtpK9JLjUZD8hJ0frhp05FRqZ9IJCK5K1JF6ibObsNnwdOnT2Gz2fDRRx/hypUryOfzePbsGSwWCy5fvjwWKfEcLBYLtre3sb6+LvQzc6LNZlPk6q1WC3t7e9JDkcc/mcMqFArSvYHsxfz8PMLhMEqlksjnWe3P3mwAZE+oVCoiIuAwxYODA5F+07DEYjFxbHu9HqLR6Kl6s32nkQs3s2KxiHQ6LfkUNeFFNQXzA7lcDru7u9jf3xfrSi+K7SW8Xq8oXKjyocf9poDKDVXlweIv5kWA8QefHrMqSVSNAnXravEYZazUzqs6dm5slCCqclDSSsCRh016hLQHj0f17ql24vlxzflwqTUvwNknU3J9eE42m01aV6htwScTyawNKJVKaLVaGAwGMntDLU5T21/w/RQz8PvVCIfrQkOrJnvZz04tBFaVgCpoHCORiMyZYZ6Kf+c9cZ7qcgCSj6I3z/uOx61GFpS7M+HucDjGImBVKkuqiefK55lJfiacmcTnteT1aDabY/NC1Loj9V7lPQ4cbbx8Ha8Fr6WqVCPoyZ/VuKjUGr+X97va4FEtkmWCnM+6qpxTJfoUI6gJc1WUMnn/Axi7r7g26nXgGvE6TvZy47PM42OkzGuv9rZTv29aUcl3Zlx4k5TLZfyv//W/8Pvf/x7xeBzJZBJerxdzc3OwWq0yJ4QFkOQB2d8IOKSYPvzwQ8zMzIg3dnBwgNu3b2N3dxfb29vSw+dNAYcVMYmsbvTpdFpokffff1/oMCbomV/i8K/t7W3kcjmEQiEsLi5iMBggm82K0bHZbFLAZrPZsLy8PKbOIw0CQDjbXC6Hr7/+GsPhUKblkaumRJRUB+XG3AiYvB8OhzIMisVkvL52u104+bOAyeJarSbcPOdN8OZfXFzEzMyMKPAYWVHRRjpge3sbNtvhuAZudrdu3QIAkX63221RL87OzsLr9SKTyWBnZwfA4UbFGoNEIiFV2KqY4OLFi9KnjU1VWc9CsQSpBlKTbMvBhCs76aptTM4K1RAAkO7LpmlifX0d5XIZb731Fq5cuQKv1yv5TrZc4aavOgrk80m3WK1WKd5jHQYFE6pwwOfzYWlpCaZpyvsZfai1a7zParXaC93No9Eo3nrrLRFdsDuDz+dDqVSSZH8kEpHo6TTzSCbxySefSMS8tbUlLWxGo5Hkz/jcVCoV3Lt3D51OB1euXMHly5el1RIdPSpfC4WCMDvAoWQ8mUyiUqkgk8nAarVifn4efr9fKu4pCDIMQzpsV6tVlMtlcRSp5qQxUh1EVZVqt9tF2EGDw8JtwzDEqSiVSmNO1KvwnRqX0eiw+vvBgwcAIFFHOBzG1atXYbfb8dVXX2FjY+Oln8XmiuwxBRw2jnvy5An29vZQKBTeOKUYq3Vp8Og1DgYDCVODwSBWVlbGHl5OOOSwq16vJ5EfH5xGozE2c5x0VLlcllA8lUoJnXbc3Baqkbih0MOitDaXywGAtO3h96iv50bADgoul0vUVNVqVWZGnAW8wdm1lZ0FqHpiRBIMBlEsFqVminJsJjipRAIOcwmRSAShUAgLCwtwOBzSNoP0EFvkhMNhpNNp6YzAvAEfcuayGFVR/TSZBAaO2tKTkmNkyMQ0gLGRt+fpyaaCXj8NjNfrxezsLDqdDj7//HM8e/YM0WhUpLtkCbiO7C3G6JuRM6NWXlt1HeiJs2aIiXan04loNPpC0SMjXUY/NL6M2tS6Jq/Xi/n5ebRaLWSzWcmneTwe1Go1UWexzRSP9axqMQo8CoWCtHBi/ReZEq5DqVTC7u4uOp0Orl69ilQqJflM5o+YmAcgzxkj8vn5eQDA/v4+7HY7IpGIsDykrnhe6XRauka0Wi1ZN+43xznZakmAxWI51ugy/0JQfj4tvle1GFuSG4aBra0tUVm8Ck6nEzMzM9JmAzjSYE8mwN4UcHM2zaNRqxQlMNHK3AsfLNJMHEjExF0oFJLaiUePHsnrmG9xuVySaAQgtURUovCzgSO9PoUDwJHsl8fJDZwbII+dyV3SHfR6Wq0WMpmM0CGJREI297MaF7U3E/NtpEBZ08ToV+3Mm8lksL29DeCoVoYbHj0/tvNglMPrRGqs2WyKEbl48SJqtRp2d3fR7/dl5ANxXNKdPZ4sFgtWVlakPoF5M44/4EwPUnCMdEgXseHmWcENWi3woyGlrJYJW1WAw5oHv9+PRCIhFAzXTm3Dw8Sveqw0RKTiWBTMDY0bI6NIvm44HErBH6mxwWAg93Cn08HBwQHq9TqeP3+OUqkkzkKz2ZTNl8a53W6jUCicmRYjvcR6HDoRwJGQgfeMxWLB3NwchsMhHA6H5D1ZXKxSfFwjRhNkazgy3DAOe4yp+RKKMgCMdekgvXsSdcWoit2TOS6BsnNGeMeBCrc3LnI5DuT51Al002w+Xq9XqsfVTWeSs3yTwLbvbMMOHG3Q9ORmZmZw6dIl2VxYELq3twe73S76d452rVQq+O1vfyuSSHrikUhEDBKjEobh6vhihviUpdIYcD09Ho94gVR7HddGRm2zMxodjmt+8uSJbPC9Xk9yHueRgZJqYYK2UCig0+ngwYMHyOfzePfddxEMBsW42Gw2PHz4EFtbW1heXsZ77703do7U/ff7fVF8cQPmeQFH7f6j0ShWV1exsbGBb775Bu12G++88w6uXr2K/f19PH369AVvD4B0PbDZbLhx4wYuXbqEg4MDPH/+XKTVLpcLjUYDe3t7Y9QjCzVZdHmeCn119IE6P2kwGAiVxeFbZBko0uBcmqWlJYlsLBYL1tfXRdYNQDbVaDQ61haIkR6T836/X2pEKpWK1BmpOQJKa1OplNBr7ITMiIp03tdff41SqSR0o9vtHqvMJ717HkaD58A9i9S2CsrOrdajQX/s4MB7CMCxGzSfjUajIeINfj4T9err2JaIRoY5wZM+n8fHJsGk2vr9voiFOChuEiyBoDBlGnyvxgUYr2ydFqSUSMvwgnK2/Fm9428T3BRUCSITcOSaWRVNNQnDbHqvfG04HB7jR/k3NZFos9mQSCRECaXWn6iVtqpRUH+ncuBqQl4tSOP/82Zj4plRlNVqFdXReUYcA0eRCzd99diZjwIwlpujdxyNRsWAqi076BWq0k0aZPYFo9puMBiIWGIwGLyQKGWDSYoASG+wNQcpMF5LXm/1+nu93jGqTDXEqkd8VnBdSD0xB8eIgV4v8ywUJjBiVe8d3iu81hSa8J7mOfBeYdQNQEZNUIRBKkvNnzECZLU461koauGzQWUb1VNcV641IwH13jwrKDZ6Wd2HKkNWBRyqHPokqM/YJKbd014VVTDfQpUfj1ftDXcSuL9MK4n/3o3LeUDvionvzz//HOVyeWxC45sCbo6NRgOFQkHyErzZbDabFDKxvU2v10M4HJbENcfEfvDBB5LkZC1QuVyWLqr5fB4+nw9//ud/LjJTFldxY2Ab9Z2dHQm5yf9yw6MHQ3WLqq3nQ8aIymazIZ1Oo1AoSEW2xWJBsViU+RPqxn5a3LhxA8PhYW8o8tD0oC9duiRy4d3dXTG4DocDH330kXic3Pi5qXFzd7lcmJmZEW/eYrEgm83K5nrnzh30+30sLCxgYWEBvV4PiUQCpnnYWPL+/ftIp9N49uwZDMOQ9i7Xr1/Hj370I9RqNVy5cgXD4VC8aa6DuhHdvHkT165dQy6Xw6NHj8bqkJjIPQ84EptRKlWFlLSzM8Pe3p4MmWOxXTAYhNVqFQpsb28PrVZLxnVzBs1wOJTxu6zlcrvdePvttxEOh7G+vo5utyuD0Ui9xuNx6b1F2mk0GmF3d1dEJ5Sc5/N55PP5MaXj8vKyUGpkAzgqvFarSZErR0ecBc+ePZMco5qzVMF7C3i5Ifm+YLPZsLCwgFQqJfknu90utVYntWcajUbiJP4gaLGzQNW1A0ceDtVl5x0I9G2BdBJpBgBjvaKoPmJdCJv6eb1e8ShZJ0BqjbMeOHp4MBjIhhgMBjE3NydFapSS0kiw6p+b7GQVMx8M/qtGNKQaVBqDG/hkHoEiAlJ/ZzUunMJHL1lNTtND5cAoRg12++HsoHA4jGq1Kk0aVQ+YUQhzGqTyqIAjR00hBL1jRkrMS5DHplqKxYNUy9GzZ5TJDU79b7ZaJ43E68EI4bxFwcd53MznkH4jlUU5f7vdlup35oVo7CqVCpLJpAg8VOdFLZ6lWo45HbIONHKsw+Dnq3LZZrOJSqUi143FwZTPdjodoc48Ho9QeHwtk+Zq5HVW43LcWPFJHFfc+TLQmeF9cNKxTUqqj/u7+vuXvWZyuKLFYpkqn3eSOOAk/KCMC/MJLLoKBAKS+GIPJ1WL/yaBm5HFYhH5Ih9EbmjsF+b1eqXtfblcRrvdlgIwtm7ge6xWq0hAVc1/q9XC8+fP5f/JmbK/k2qEqeYqFotwOBxYWFiQDYVRAA0cjRc5c/4dgHQs9vv9SCaTY6oen88nfP5ZcOfOHYkUuHGoo4rpgamJUtM87CpNTpkFb4uLi9KHqlgswuVyST+qSCQCr9c71jCRbTr6/T4ymQz8fr+01uH8DKrXeI0Nw8D29rZEBpT2kttmQWm325V8HJPn7NvGGiKHw4FisShdGs6K1dVVjEYjadzJam/OJYlEIkIre71eJBIJ9Ho9+Zvb7Ybf75d5QWouBYDI51nxzVZH7XYb6+vryGazyOVyYiwLhQIcDodE3WptFp0X0t0qdc6u6oVCQeT2jK75HBmGIbN6GA05nU5RYX2XoNGdzNEYhoFEIoFkMjlWRHnc+4vFIrrdriTVGe2ORocD2LhHUM3HH1LBFE+d5/45LX4wxoW5huXlZczPzwuPvra2JrOx1bYGbxpoXNitlConKsboUSQSibGRthxTzMI/ACiVSuh2u0gmkzI+WS2oslgsaLfb2NraEophOBxieXkZy8vLUn3OQiqfzycaedYJqDJR8tnU1Hc6HcRiMczOzo7JfNnGw+/3y9Q+0k5UppzVuHzzzTcAINw7eWNVvUaPWKWdGCkygU4az+VyyQAzu90udN7i4iIikYjkD1gIyMgxk8kAOGqjQ+MViUSQSCQwHA6lbmFvbw/Pnz9HLBbDtWvXYLPZkM1mUSgU5LwoW2Ub+2w2i4sXL+Jf/at/hUAgIOej5g3OCg674lA3tr3nZhUKhcZqsVj7MDc3h0QiMVa46PP55Fpww1KNC/NUzElRDUrHj1J53lOsDleLEQG8UAhJUUEsFsPm5qbUz6jdBlgsyuFoBMcdnPUePAtY39ftdl/I+QGHa3z58mUUi0Wp65sE76larSZV82rOme2u6HAzh8KIhCKY77od1g/KuCSTSdy4cQNvvfWWhHHValWil+/SKp8WavEkZYSch8IbsN1uSzfYeDwuA9VYxU2vhJROMBiUB5rJU07mUxPv9HIoOWRNCscnUx7NoVUAxqgHVqCzMy470FJ5xToE/tC7ouHkMZynOlptS05unTkojgfmHHfSYWqhJyv1HQ6HdN/l6GXmYRg9sJstKUTO3GBkQ6k3ux2z+y9rmdTkLemiQqEgRp/nQa+f9GIgEJB6nUgk8oJx4QZ8VuTzebkWnB1CWokyV6q7gCOHiFXcascFjpFWa1J47pQoc10J0plq4towDBlNwO9SBTuqEIYqLOZ9ms2mfDcLdTkGmz0GSa/xX6okvy2QJrVarRLtAy8OMaMTXK1Wkc1mpc/gcWDRKUUfXBueB6lvUpuqQo6F1d9HQfkPyrjcunUL/+7f/Tv4/X6hd7a3t3H37l1sb2+/kSoxglJrPpyMTkzTlEaHFCgEAgFcv34dDocDa2trErmQimGko3LTpBV2d3exu7sr3+tyuUSyPRgMkMvlJEJi3yA2DGWXY3Lf1WpVir64CZNj50wefgeNUb/fl3EJpmkik8mI1l8VMJx1/Vjkx8JOr9eLy5cvY2FhAXfu3MH//t//G4FAAO+//z7C4TDi8biosFh/ceXKFUSjUZG09vt9qQMqlUpSFW2z2aQlfqfTwYULF7C6uir9zShJZSK6Wq2K6kpV33S7Xdy/fx8ApHMBBR3setDv96Vz7YULF6RFPanORCIhHQXOiocPH4pElmNxY7GYOB1syc8NOxqNSo6LUS2jxqWlJRiGMVZYR+OSyWRQrVYlz6LSk3wG1CLdzc1NbG5uCu3mdruFmlXpMQ5tYw0Lo1V2SaADwVHUm5ubQiMzevi2xT4cj+12u7GysiLFjOp1M01TVI1bW1sidT/JANjtdumkwGuj5p4jkYjUA6VSKXnOmR/j9fmune8fhHHhgxoIBET5RO+fnOyb1AH5OJCCIs2kyjXpEfJGULv9MpRWQ2HmGmhQKAdWeyzxQSdtxO9mBMKblFGASi+Ru1ZrCyiDVUNuPjBq8n9Sskwp6Xna7QMQj1hNXKqSav6NxlYVL1DlpvZFojKGDRm5+ak5JJ4f7z8moHk91S7PlLmqGwmvh9qZejAYSA0TJdWkmwhV3szrxijgPMaF0QfvPYfDIbkTXiuC1BcjL4oR6F0zIlQl0zxf3hvqZ6rHrUrf1eiaOSg1h6YW6/KeopSZhk5dO34/jTyPn8+Ieo9+G1AjVxo+XsfjHCtVpTn5Oaqi8CQVF3BUbc9oRv05TsCg0o68tybpOvU+VgVUp8Ebb1zsdjtmZmYQCASQSqWEKuLDyaQeFSVvMtT8Cg2JzWbD7OwsHA4Hnj9/jsePH4v6xuPxIJvNolqtwmKxiJqIlFY6ncbjx4+l667NdtghlfNH8vm8VOOzfoY3SqVSkUp3r9eLXC6Hra0tGIYhPZqITqeD/f198RTZgp8KIv5LL56Dw7rdLu7cuYODgwO5PhaLBR988MGp146bGUN+tsSwWq3Y3t6WxPynn34q9wHzQxx3zeMvlUpSeLqysoKDgwN8/vnnaLVa+NM//VNcv34d+Xwem5ubGAwGWFlZGesFZZrmWOdpCjPUpp1UsXH6KgCpLgeA9fV1PH/+HB6PB9euXYPP58PTp0/x7NkzPHnyBJlMRnJfHo9HjBsA6QJ+WrB4l/mWcDgsEUg2m5UiTs5bef/99xEMBoWvpxCBG7/FYpGeX3T+aCTcbjcKhQK+/vpr2O12rK6uSqTLKJddC9555x28//77eP78uYwhZq6Lzo7b7cbc3Jw0pKzX60KBDYdD7O3twTAM5PN5qW26desWDMPAzs4OqtWqXItv07ioSsG3334bXq8X29vbyGazY5s0K+GPMzjMO5HOnhbtdlu+h/cfHSyC+Rvmudg0dHV1dUxFRtEPAKHAT4s33rjYbDbpw8SEMYvcer2e9D06T/X3d4FJqSA3JgCST9nc3EQul5P24l6vV5QgLpcLrVZrzHuv1WrY2dlBKBSSthxULeXzealGZv6AmzO9JW6SXFNSTxz7y1kQTNAOh4dNLSnxZNU2ozF1ZCvVQnt7ezJ8iGN9zwI1AqPnzdY/5OxtNhvefvttNJtNbG9vS20DvW0+3MzVBINBRKNRlMtlFItF1Ot1RCIR3Lx5ExsbG5IQTiaTcLlcKBaL0luMsmrmTdTiTXqpNN5qQp4oFAoyXoF9zbLZLJ49eyb90DiXnmKIcDh8prUjmKdsNpsol8uyBhaLRWpoSCexqzOjBW54jO4YvbLWiutByb3D4UCz2cTa2po0/wyFQuLV0zm02+3SJ7DdbuP27dtSmDnZXDEYDGIwGEgTUhoKysXpRNVqNXg8HszNzcn9y6jzPHm/acCC0FAohNnZWRlTwaaUwKsjETIMk5H6q8AonTkoyrbV6NI0D2cecVpouVxGIBAQGpJQ6TQWuJ4Wb6xxoXcUDAbxzjvvYGlpCYuLiwAOk2CPHj1CLpeTgq9JVcmbBnp8rBSncWHOhRuh2sqBng1byzPpNzc3B5fLJfMV2EKDdRaMVrghcyNIpVKiLiP/TQPtdrtx+fJlWCwWaZ9B48JkOaWQKk2kJg95c9OL5wwIDhI7TXXvJDhbhMID5kkAiGdPeL1e3Lx5E6PRCLlcDpVKRTxeXgNGf6RtqMarVqt4+vQparWaKPtCoRDcbjdyuRyy2exYXoVrSwPjdruRTCalDQ1FA5xVrxbZzc7OSqKWBZY3btyQZq7qAK9sNitzPv76r//6TGtImon3Xb1ex7NnzyQadTqdSCaTuHLlCoLBoNBgjERpLJmwpwEMh8OSTFfpVH4WiyhTqZQUg6oyWarwhsOhSNjT6bRsyKQwSd0wb8V81mTFvsPhQCaTwf/5P/9HrjEFAXRC33nnnVOvXzwel3zJcR0nDMNALBaTc+Bwusl+iTQulLdPUldcGxoCXjtGxK9y0JhzUddNfS+vVyAQkP9m/ztGVGrvN3YOOW0k9cYaF+YWYrEYPvroI7zzzjuYmZmBYRw2cfvHf/xH7O/vY319XTy9Nxl8oCifZYKx2+0il8tJhT5zC4we6Flymh0rZEnrMJpgC3BSZ9wsVOXN8vIy/uiP/kg2UFIdLJT70Y9+JNXaVFo5nU6EQiFUq1W0Wq0xiobJSj4gVFWRPgEOp1TSGJwnL8bqcr/fL9EXJb3JZHIssgmFQnjnnXfgdrult1ir1RLpq5rMZ/sTUq+FQgFfffUVfD6fGBX2W3rw4AF2dnbgcDjEGDHyI43ACuj5+Xk8efJEZhI9efIEvV5P+sMBh3UnaiPRxcVFrKysjEUIpMJ2d3dx//79c1G/jDLp7ReLRdRqNRl3HQwGsbCwIEoyFt6yv104HBY1EnuSxeNxrKysjNUWMRfI+h6/34/3338fqVQKT548EYUa5eqMHPv9PpaWltBqtbCxsYF2u41wOCwKPSrUwuGwyPnpODASp9HZ3NzEvXv3YLEcNgsNh8PY2dnB8+fPYZom/v2///enXj8m1Tln/rg9Z3Z2Fu+99x5KpRL++Z//GaVSacx4MKpV5w9NPhfcwKlABCD7BvPNL0O328XOzg7a7TZSqZQYO95L8XhceskBkEaZ5XJZonSOwOb1ZDeG/yuMCyMXVg+T92M4zQK4ky7ymwa1WymTiwxDWQnOaISbGsNa3pz0klm1zCQrDRGTl71eTzwPej/D4VBoHeYimD9Q+4ipAgMAwv2y9QZfY7FYJAphPoNyahaGqjmKkxKap10/KupYYwFA5KWq/JpeGJVClM/yIWPei5tSMBiU8dq5XE5k15TrAocbg9vtFo+ToEfHh4/rQHqIr2fkxN/xhxQU84mMEIDxAVVU5Z1nDZkYVwUQrEVipXyv1xs7Ryob1f5gXGtShJSGc03ZbYLUVrPZlOalfC+/B4B42BQ70HEJBAIyXVK9//geFnWqs4J4PVRajTU36j1yWpAdedn72cWcAhH1tTxutdvFy/Yu7numaUpX5WmOnc/wZOdllWJTf8+1UksH+Dmq1Py0z+8ba1xYncxEPmWYHPf78OFD7OzsjHGZbzLefvttAEedoMm1A0Amk0Gz2cTKygouX74stRg2m01oHUoODcPAxsYGNjc3EQgEZNPnQ/bFF19gbW0NV65cwbvvvot6vY7/9t/+mxSa7u7ujt0oVOyQj6ahstlsUsNhGIaMaWalOCkf1SOqVCrY29sTWbNpmlhbW0OhUMDS0hIuXbp05pzLlStXpGBzd3dXZKemeTi1lJLYer0Oj8eD7e1tGRXQ7/eRSqVw/fp1Sfq2223UajUZ93r9+nWYponPPvsMjx8/xsLCAiwWiwxo44N66dIlNJtNiSIpdaZCiUIL0nipVGqsIj4UCmF+fl5yAPV6HXfv3kW9XpeeT/F4HFevXoXFctjnq1arIR6Pn/seXFpakt5YpLvS6bRELgsLC9je3katVpP6HsMwsLS0hJs3b4qBIOVJZZfP50OxWMTjx49Rr9eFFqO6czAY4Msvv5RNlcdAQQsdKtVhWl1dxXA4lO7nHKtNGpdRYDQalTHaakPMQCCAt956SxwclRI9qzPKeUcv6wLCXn0ckEZM5lvpsLys5cu1a9fwySefoFar4T/+x/+ItbU1Efq8DA6HA7Ozs2O9wiii4H+rYF0Yc6cq6FDRyTwN3ljjwkVUfxhu03OvVCpv1LTJl4E3NR8+9r8CjpLVHo9HvDR6bsyPqC3xOXuBITI3QUph2SaEMtNWqyUNJNPptBgjeqf0htSiPnqWVI6xrkDt/MuIgBGVyn2rUSYr+NUusWdZP9M0ZQgUo1o+7GwPT++Yf1c9XVYvU2zAKI88PnBUOR4KhWRD4ibIHIO6RvQS1eQ9xSYcIqaeM19HY841rlQqYzPi2Sgyn89LdMC2QWcFVWvqdVbl7cxlEJTP05CzYwQ3RG5SjChZF8XPZoQ4Go1QLpclCe9yueT+stkOh6qRiuFaeb1eoThZ8Mr8A7+PqixG9fwbnx9GqmrHZnroZ8E0g7KmGaj1quiH8Pl8WFlZkVlDjDKBI2HLcSCtPu13Tha7ToLRCz9nWrxxxoWUzPLyMj7++GPMzc1J2/Ld3V2sr6/jwYMHKBQKY4VZbzqYAOSmYrcfjbJluE3vjAaBHDKVH9Tts9srqQTgiAp46623xHPhhv7RRx/h+vXrSKVSSCQSY3QIKTK/3y85nL29PdlYrVar5BUMw0C9XhcPU603GY1GUiRJftjpdOJnP/sZTNNEOBw+1zwSys/pubIamevB0bb0pC9fviyV2r1eDy6XC+l0WuojQqEQyuUySqWSjIgFDh+kCxcuYGZmRvJdFFKoXjfvO/Zdo8yawgbDMKRjdavVEvkwFV/NZhPValWKUymTZaNSnpvH44Hb7ZZN6zzGhZ60WshLBR/zfcx9OBwOKao1TVO6INMoqwnpfD4vartmsym5Or7GYrFIKxngqElrvV6X/1YdHBoP5jeq1aqsM0UGapErpcp+vx+hUAjxeFzqxgCMGXl1gz4vVGEMxTeqw3JS52QVkxGNip2dHfzqV7+S+42ydLVW61XnosqfXxYlTQOyFdN+xhtpXFiv8S/+xb9AIpGQ5FMmk8G9e/fw/PlzaRj4Q0Gn04FhGFLdPhwOxcuj5FNNiFM9s7KyIu2xaWTi8bhEcuqGY7VasbCwgEgkIslYq9WK9957Tzw6KmxIfahtXRKJBBqNBh4+fCj1AmzjQlqG1BNw9GDQgw8EAjL9D4C03qdHfp4Hmw8UoxRuKJSaslkhKcelpSUEAgHUajXh49mChQn6crks12Bvbw8ApCllOByWKIXycK6hWvzIXIsaQZM2SafTso40+ur9QAk9DTIjdBoY5lkonz1v+xfSmIweHA6HGDvmCVSnhqrEzc1NZLNZEWWMRiNxbAaDwzHd1WpV6FIaFhoxJvapJCNtRtk61WuqRJeGOpfLod1uIxqN4urVq3Jf0/Hhe/l8MNLh56vqMqqeXlc9HKMv4CjhrhYcn2fEBAAcHBzg4OAAAMR545pOew6TxuU86HQ60k1gGrxRxoWyW5/Ph1gshng8LhslcFgbwHYoP5SIhVCnTzYaDVEcDYdD7O/vo9VqwefzyZhiPoBUlrFan7Ljer0u0krSGvQCyTGzxxEHVJH3V28ybjIOh0O4bNJH7AzQ7/eliLLZbB6bFOTfWq0WQqEQFhcXJdFbLBZl0zzrw8YEKDcrfh8L6titmVEZHQ8abq4RH8xOpwOPx4PFxUVpbEljzM2RUTQFFixO43x5OggbGxsvbCasxaGSTm22yWiAnZiXl5cBHFJmVMVtbm7CMIyxAuFUKnWuDUKt9GfjScMwpKsB82/8HWusuM6kn+ixM0qjiINrRAfK5XLJZ1LgoE5ZpDS2Wq2KNJo5VFVVSRq0VCoJfUOxCw0aI0uqAgnDMOTeUIUZrwO8F1UxjFpgel7wWtvtdpGmU9p+1s/if9M5Os1a0En4wRqXVCqF+fl5XLlyBVeuXIHf7xe+8enTp/i7v/s72Th/SFheXsZwOMT29jYODg6wsLCACxcuYDgcYnd3F4VCQYqZmAxlZMH6CXrSW1tboh7p9/vwer2Ym5uTWhj+jbmHWCwGp9OJra0tbG9vw+v1StEUO0y3Wi1pbDg/Py+5BvbMevLkCQaDgczkUKv9gcONK5vNYm9vDzdu3MC7774Lp9OJu3fvIpPJ4K233pLPPQvUFh7k7NPptEhZSdewkI6JahoKr9crmzO94UQigWvXrolcmMl9RmykOqjq47k2m00pat3Y2EAul8Pq6ipu3bo11jqG+RefzycbOrtMsJbD7/fj1q1b8Pl8+Pzzz3Hv3j2JeNT80MrKCm7cuHGuTYt0ks/nw8zMjJwv1ZdsyU4nhT3qGP0xX0TjTPk1I0Z20o5Go2K8SOkUCgWpIM/n84hEIrhx4wZcLhd2dnZEdlsqlaQuJhgMyiRTKsvoEJDWzOfz4oiNRiOUSiXU63W43W5Eo1GhJ4+rJzkv1GasjCgmW+q/CtMcj8vlwrVr1xCLxfDo0SMZQTDNe9XX8V+u1TQ1Myr4TEyLN8q4EOS1mQQEDheEuvw3uUHlSaAXT8msmvxWPQFuSow2qtWqUAl8Pb0wtU8Yk87qZ7IVB707SkTV5B05capJRqORJHL5HRRRDIdDKbrijUrvjdQEN3P1fHg83LjOAnqmao2A+tCokRalvvQkVVk16ZJms4loNCrHTMpQVdKpMmC1XoiJfX43xyHzYeUmdtK50iiryqZgMDhm0HjfMwoFII0jz4rJ3lrq8TEaoRCC9yjPRV0XGpNutzumlON9ob6Wa87PYS6FVCAjOeZZqEDj/ULpMGt/+BzQsVKjLk5GBcajClLP6rm/LhxHO/Fc1OT76/gefsekpFq9PykE4j35MgOklgecZKx4nVjseprSjzfKuKhe/P7+Pr744osxKd3a2tob3z/sJPCBdbvd0nfpb//2bwEc3hyUbG5sbEhkYbVaUSgUsLe3J5y2YRhiBLghdDod5HI5AJCuspFIBLFYDI1GA5999hkymQzm5uZw+fJlya+wriObzUqCuVKp4PPPP0exWMTc3Jx0WWWrjlAohJmZGfE0nU4nlpaW4PF4sLq6Kt7vvXv3AByG0nNzczAMQ/IalGCfBiyYpDydQgcAMtdeFUuw4I6bTqvVwp07dySqYd7G5/Oh2+1idnZWqDLgkE5j9MCfZDIpQ7NYgMkqbBb6MdrgNeKwLyrs9vb2YLfb0Wq1EI1Gpa1LKBTC+++/j+XlZZHbMxoDIFHYeYxLNBqVc0un00I5sdtBp9ORosh2uy1dhcPh8Jigot1uI5/Po1KpIBKJYGlpaWw0d7vdlqp49rRjF+5kMil9zS5fvgyXy4VLly7J8/2HP/xBjDhwtAHyX9M0pYsyDeFwOJQhbFevXsXq6qooLykJbrVacn98GyD9pxpQRkuTzTVPi06ng4cPH8LhcEhfOObshsOhtIqam5vDzZs30el0cP/+/RPHYtNBooiEdOJxTrvL5cKHH36IxcVFPHz4EF9++eXUzv0bZVwoZ+SMlgcPHnzfh/TaoHYfJn+8vb0NwzCkgpjV0KPRSIwQK/CpfFE7wfImpnExTRMLCwvyXlauFwoFbG5uSh6LyhqbzSbUF4UElUoF9+7dw87ODm7cuAHgqBGj3W6X97KtBRtIqoPA0uk07t69i8FggKWlJXn9eWbu0LByQ2buQ11bVoNT5s3iPZ5XOp2WIW2tVgtzc3Mi654M+ekZq+A8GF5Dts1nO3peE9XDo1ycyV+1uSUT+OxHNTc3h3g8LoYFwAuJ8fNsUiyiHAwGaDQaEn1Qqkt5ezKZlHoiKtm8Xq8YO25GVHuFQiGRu/M81VHH7PrAQs3hcDjW4ZzRbqPRkLwcz5OGnQaGsmbm9pLJ5Fh0brfbpQMD5eSMXhg5v+7o5Tivn+vMfNs01+2kxHu/30c2mwUAYRNU48L8ltfrFefk6dOnL/0eRjo0zswhTsJut2NxcRHXrl1DsViExWL5YRqX/5uxs7OD4XCI9fV1bG5uwuv14uLFi7BareIl8wEYDocyNTGbzaJeryMYDGJlZQWGYQh/zdYY7Gza6/UQi8Vk3vzGxgaazaYYmYWFBamVYJKY1AKL2Ww2G37yk59gZWVF8iter1fyNsxxUGHGflyc5cLiPNIjqvd6Wo5XxcWLF2EYBvx+v/Rn40bEDY/JTrWjrtrSnFXmnGnPzYcScEYyLL6s1+uSxLZYLNjY2JDGlWpnbiafuaGwpQ4Nrzqalm1T2Oafs2+azSa2trZwcHAg7XPUSv9Go4Hd3d1z5VyYU6OBJNU0Go1E5cecHqk4RkuqxJw9p5rNpkTYKtVGqozy+Un6jWuUyWTgcDgQDAal+0AwGBQHxDRNhEIhEZjw3qH6i/cBi1t7vR58Ph9qtRoqlQp2dnaEjuP9+6oCxNcFJvZJc78KPB+LxSIdi48DqVTDMKSsgL0HK5UKvvnmG5G/vwrTzHrp9Xp4+PAhisUi7t+/j/39fW1c3jQ8e/YMw+EQ33zzDdbW1nDjxg38yZ/8CaxWK7744gtJTvPmarVasFqtUqFts9mkSp0S1osXL+JHP/qR1AG0222hxQqFAp4/f47RaIS5uTmsrKwgkUggEomgVqthf39f+G3DOGq4x55ZLFSt1WoiA7Xb7cjn8ygUCjKvG4D0T6L3qEqjSZNQlXZWr/H69esAjlqVk/pj8aZpmnj69CnS6bQYDqvVKkWcAEROrba5YaV+NptFr9fD7OysJOvZqp9RycHBgTRG9Pv9Ej1xCiI3TvZiovfMgj4AMt+mWCxie3sbwWAQ8Xgc5XIZ//zP/4zbt2/D5XIhEolIbQf7zp0nZwVA7rFwOAy/3z9WXMgailqthqdPn76QE5mURbOJLKNolT5kXVQ4HMbc3ByGwyEODg6EggMgxpUiHnZMDofDY52T4/E4otEo2u02CoWCOAAARFKt1n6RqlQjr4sXLyKVSola77sA61ymBavkbTYb9vf3TzQulIC7XC4pIOW6F4tFfP755wCmGwx2XHQ+iU6ngy+//BIWiwX7+/vY2tr6YarF/m8GIxL+O6nWYJJTTdjx9/zbcX2CWExG6kRNWvIhVaMG3ohMtKtJPb6fN7DqkarJYPXm4mfxuI/zas5bvMVjU4+R56Mmjqf9nMl1UH/UY+ZnDodDoQMooODacQ3Uz+L7VTpn0ntXE9X8f272FEio6iZGReeJXNSeYup5cl0mhQyEeuw8J57XcZGoamhUeov/qvcLj0FNfqvnqCqx1L+pa8rXqPcr11N9zXHX4k2CeozTvFb9Fzj9pMlp1WZqRwp1b3rlMY5epzZPQ0NDQ0MDwPkrfTQ0NDQ0NCagjYuGhoaGxmuHNi4aGhoaGq8d2rhoaGhoaLx2aOOioaGhofHaoY2LhoaGhsZrhzYuGhoaGhqvHdq4aGhoaGi8dmjjoqGhoaHx2qGNi4aGhobGa4c2LhoaGhoarx3auGhoaGhovHZo46KhoaGh8doxdcv9v/zLv4Rpmtjb20M2m5UBUuo8C4LtwQGMtUXn/8diMbhcLpk6+bLGzP1+H7lcTsbnAoczPZLJJOx2+wvtzoPBIN5//31EIhH85je/wWeffQafz4f5+Xk4HA4ZR3oc1OOYbHuttur+7//9v0+7bCd+3v/LOEsjbr1+RzhrI3O9hkfQ9+D5MM36nWqeCwcNOZ1OOJ1OBAIBGe06+TrV2EweVL1elznbr4LVakUgEJB56aZpjo1+5TTETqeDVquFTqeDtbU1GQp0/fp1zM7O4qc//SksFgt+//vfY3Nz89jv4qhfu90u0/QIl8sFj8dzrnkaGhoaGv+v4NTGhWNmOUMcgMzWVl+nDh5SjQ/nb08Li8UiY1WPOx632w2fzweLxSIGa3t7W6brra6u4uLFi/jkk09gGAY2NzePNS6j0UimFnK2uQqn04lQKKSNi4aGhsYUmNq4cLO12+0vzN+enExmmiZ6vd7YtMXhcCi/43ucTiccDsfYZ6gT7jiDmjPSJzEajdDtdmEYxgtREOen1+t1ZDIZ3LlzB8DhSN6TwLGynFGtot/vo9ls6tBYQ0NDYwpMbVzC4TAAIBgMwuv1olKpYGdnRwyMisFggGq1iuFwKPO0e70eyuUyBoOB5GNCoRDC4bAYkNFoBJvNBrvdLnPKh8Mh6vU6er3eC8dkmibq9ToajcYLRo70W6PRQLFYxNraGgCcOJvaMAz4fD54PJ4XRq3yfZ1OZ9rl0tDQ0Ph/GlMbF84Mn5ztftq5zZz5DkAS8mdJrqnzt0+KJtRjm+a7TpoJPvlZGhoaGhovx9TG5fnz5zAMA8FgED6fD71e70TVFZPwjEQAwOFwIBKJwOFwYGFhAYFAAMViEfl8fkwAwIih1+uhWq0CgEQ6RL/fR6fTwWg0gtvtPlE8QCSTSfzkJz+B1WrFl19+ie3t7WlPW0NDQ0PjDJjauJTLZRiGIbmWl8FiscDhcMj/MyKwWq3weDyYnZ1FLBbDcDhEoVA4NmIYDocnGi8AQqM5nc5XHrvb7cby8jJsNhseP378ytdraGhoaJwPUxsXv98PwzBkM6eyajQaiTTY6XSKBBg4NCpMkHe7XVGVZTIZ1Ot15HI5NBoNMUaT9TA0OIPBYIyWYt2KxWJBtVp9pfqsUqngq6++gsViQbFYnPaUNTQ0NDTOiKmNSyAQAHBUSNRqtZBOpzEcDuHz+eBwOBAIBMaUVkySB4NB1Ot1dDodDAYD7O/vAwAajQbq9fpY3QphsVjgdDphmuYLEUwgEMDNmzdht9vxzTffvNK4lEol/Pa3vwWgcycaGhoa3wWmNi6TSXPWuVBSTInyJAaDAbrdrqi9KEXmZ9psthcMCwAxKscl4Hu9HorFIqxWK1qt1tjnHfcZFotFvsPj8cBut6PX64lyjO9Tj+2kz9TQ0NDQeDVOVUSpwuPxYHFxEaPRaKw2Rd2MR6MRKpUKGo3Gscoyp9MJm80mm78K0zRF+jtpYEqlEg4ODmCaptBpx30GqThW3DscDiwuLiIej2N/fx9bW1tC6xmGgX6/LwZtsu5GQ0NDQ2N6TG1cmEsZDocwTXNsM580KMyhGIaBXq83FrWooFE4DmoUMYl+v49qtYrBYIBQKCSdAo77jMkOAXa7XYo3eew0cCoFx3Nk3Q0Nj4aGhobGq2GMpiwy+a//9b/CNE1sbm4inU6j2WyiUCjANE3YbDZRkg2HQySTSXz88cfw+/346quvsL6+jn6/j263e+ameypM0xS1GBP/amNJggbBYrHAbrePRTg8VrfbjaWlJbhcLhwcHCCXywE4NEwulwvvvfceZmZm8OzZM9y/fx/D4RC/+tWvTn3MOvo5gm4aeD7oxpXnh74Hz4fX2rjy5z//OQaDAZxOJ4bDIUqlEsrlMkzTHFN2maaJUCiEDz/8EIlEAuVyGbu7uxLFvA7jYrPZ4HK5YBjGS7sc2+32sRqYwWCAbDaLWq2GcDiMeDwOu92OeDwOv9+PWq2GfD4vhZkulwtXrlzB9evXMRgM8ODBAx29aGhoaEyBqY3LH/7wB5imiY2NDRSLRTQaDdlomafgv/V6HV999RWCwSDW1tYkGjiujb3FYhEKbFrDw+/ie4/7u/odw+EQnU4Hw+EQNpsNgUBAjFO/30c+n0ej0UCz2Rx7b6fTwe3bt7G9vY2dnR2tNNPQ0NCYElPTYn/9138N4IhqYoJ+sv0KqSrmaHZ3d1EoFODz+ZBMJseS7mwFY5omBoPBqaIaVeGlgnkWRlTslsyIJBKJjPUPY85FpfWIXq+HjY0NlEolzM7OYnFxERaLRdNi54SmJM4HTYudH/oePB9eKy1Wr9dP/JtqZLhJN5tNMRoAjk3cDwYD9Hq9YxtFvgr8PhqoyULLSTBhz5yLmqN5mWHjMU62oNHQ0NDQOBlnliITbHvf7/fHVFjA4YbOLspUZKlIp9NIp9Pw+XySVD8NLBbLsfkSJu5pPBwOB6LRqPw33+t0OuX4jzMudrsdly5dwoULF46txdHQ0NDQOB6vxbiQTlIjB27snFp53Pva7TYKhQIGgwHm5+fH/jZtCOp2u+H3+yUCUr+bsFqtL8iVGfGw27PaMZnvt1qt8Pl8sNvt6Ha70ixTQ0NDQ+PlOLdxYUdjVTFmt9tlOmSz2Tx2DgpHJq+srMDlcsFut8M0TSm69Hq9CIfDL40WWKTZ6/VeSMa/CsPhUAaNMWLq9/vo9XoIBAJYXFyEYRjSB03TYhoaGhrT47UYF5UKAw6lwuFwWAzGSUO2wuGwDCGjcqtQKCCXyyGRSCAQCLzUuNAYVSoVAKdL0jHSstls8Hq9sNvtMpQsFArh5s2bMAxjjG7T0NDQ0JgOUxsXUlsvqyshTNNEt9sVuozJdLbqZ3PLyemRFosFLpcLfr8fLpfrlTkOi8WCQCAAt9uNVquFer1+bFLf6/UikUjAMAzk83kRJ/D7eT7M17RaLWxubgI4FDKoo5k1NDQ0NF6NqY1LJBKRGpZms/nS17J2RE2ot9ttNJtNaR7pdruloSWjAqvVilQqhXg8PkaznQS73Y4rV65gaWkJGxsbuHv37rEGYHZ2Fv/m3/wb2Gw2/I//8T/w8OFD+RtHJQMQJdnu7i6++OILABDBAFVj2sBoaGhovBpTG5fjooiXdSMmFWa324U2M01Tkueqmou/47wYRhA2m00EA5NiAf7d5XLB7XZLL7NjT1KhviYpPH4+YbVapevyaDRCMBiU12nDoqGhoTEdpjYuzGuwCWW/3x+judQoo9frSd+xSCQig8a8Xq8YqX6/L/UxTqcToVAIVqsVlUoFrVYL0WgUy8vLGAwG2NjYkJHHwGFH5lQqBafTiUwmg3Q6LY0sj8POzg7+03/6T7BYLEin0yeeIw2Ny+XC0tISgMPBZACk0FJDQ0ND49WY2rhMUmGj0WgsOlGNy2AwQK1WQ6/Xg9vthsfjAXCUazEMY6xbMVuy2Gw2tNtttFot+P1+vPXWW+h0Ojg4OBgzLk6nE8lkEjabDWtra8hkMi899lKphM3NTYlETqqnYWTicDiQSCTG/vayDs4aGhoaGuOY2rhQtstcSCgUwurqKgCgWCyi1WpJTYvVakU4HEa3232BhgIOjY/VapXNnMaIlBQAVKtVrK+vYzQawWazIRKJoN1uo91uo9vtIp/Py6CxaDSKTqczNjhMBYUChmFIUWe32z3x9aPRSKIgHbFoaGhonB6nilwsFgvcbjesVitmZmbw8ccfwzRN/OY3v8HW1hbcbrfQYMAhPTbp7au9vwjSaMBR9JDP55FOp+F0OrG8vIxIJIJcLidGZGNjA3a7HTMzM0gkEigWi9KcchKckmmz2ZBMJhEKhVAsFtFut481Lqqy7bghZBoaGhoaL8epEvqqB0+5sWoo1OFcL1N7HddsctIoDIdD9Pt9aauv9g5TX8+/vUoezWMfDofH9iGjmMBut6PT6aDT6Yw1wNTQ0NDQmB5TGxev1wsAstFms1n85je/AXCY0wCAVqsl0uLzVrSzF5nFYkE+n0epVJIBYYRpmigUCqhUKiIQeBlM00SpVEK9Xh+LTKhOW1xcxOLiIvb39/GHP/zhRFpPQ0NDQ+PlOHURJQsKW60WWq3W2GtUBdlZoPYUY34HwIkV/uxPdprP73Q66Ha7x/7d6/UiFouJeIDzaTQ0NDQ0ToepjcvPfvYzmKaJra0tHBwcvNaD6Pf7qFarME0Tfr//hSaTk2BfsNFoBIfDMTZtcvJz1THHL5sBMxqNkMlkMBgMUCqV4HA4dL5FQ0ND44yY2rj89Kc/Rb/fR6fTQTqdfq0ePYsWB4MBbDbbVMal1WpJPuQk48IJlEzoq52PJ2GaJjKZDLLZrNTeHNfNWUNDQ0Pj1ZjauOzu7mIwGKDRaLzSsKjJfkYWTqcTPp8Po9EIjUZDJMfAUUv8wWBwoqEAxgUDNptN3qv+jEYjadPCyIPDwVSwAzK7IlOwMNnzTB0qpqGhoaExHaY2Lr/+9a+nznH0ej1ks1n0ej0kk0kEg0GEw2FcuXIFw+EQjx49QrFYlNc7nU7MzMyMGY3jMBgMREHm9XplnLLdbofL5YLP58NgMEChUEC32x2LWCYNRLPZRC6Xg81mw+zsLNxut8iVu92uyJQdDoemxjQ0NDROiamNS7lcnvpD1VoWSoQn8x7H4VURAnMj7CtGNdnkz2TPsuPAEcw0HGp/Mw0NDQ2N8+Hc81yOg8PhQDweh2makj+pVCp49OiRdCFWm1g2Gg3s7OzIREqOJH7hYP//KEQ1IEzaMx+kFkC+DF6vF7Ozs7Db7QgEArDb7ZKjGY1GQs/pli8aGhoap8e3YlysVqtU6ROqdJldjpkL6ff7yGaz6HQ6CIfDJxqXyf5e6ohlGpdpobaqISXWarUk0tJUmIaGhsbZ8a0Yl1dBTZ4Dhxv97Owser2edCFWKbWT+ntZrVbMzs4iFAqhVCohk8m8slJ/EhQAsNJ/8m+s5ietp6GhoaHxanwvxmUyt+HxeKQJJhP6jEaAk/t72e12vP3227h06RIePXqEfD5/auPysjHMLLrs9/siHNDQ0NDQeDW+F+NCsM+XYRiS7GdUw6jhZUl2bv6NRkMMhNVqRTAYhM1mQ7PZPHFqJqXIFotF6DG/3w+Px4N2uy3tZoAX+6ppaGhoaLwc36txqVarKJfLcLlcSCQScDgccLlccDgc0qKF6rDj0O/3cf/+fayvr6PVamEwGCAUCuHjjz9GIpHAH/7wB3z99dfH1uWUy2Xs7e1J1+VAIIBbt27h1q1bePjwIf7zf/7PaDQaCIfDInvW0NDQ0JgO37pxUQsTJzf5wWCAdrstw8P4ekqNnU6nJP9Pao1fLpfHZNI2mw2JRAJzc3NStMnPBY5av/R6PdRqNXg8HmkREwqFsLi4iHQ6jcFgMDYMTUNDQ0NjenyrxsVisSAcDsPn86HVaqFUKo3lRJi8dzgcsNlsME0T6XQanU4HV69exaeffoper4fPP/8c2Wz2pd/V7/fRbrdhmiZ+97vfIRQK4e7du9jb24Pf78fi4iJsNhtqtRo6nQ78fj9WVlakANM0TTx58gTNZhMHBwfw+Xxi4DQ0NDQ0Todv1bgYhoFQKIRkMimt8VXj4vF4ZAQycJiDyWQyyOfzePfdd/HLX/4SrVYLz549O9G4qPUujUYD7XYbt2/fht1ux97eHg4ODjA7OwufzweXyyVjlH0+HwKBgERKo9EI6+vrMv1y8tg0NDQ0NKbHuY0LE+I2mw29Xk/6dTmdTlgsFvR6PVQqFTSbzVfOW2Fbl36/j263iwcPHqDX66HRaJz4Hrbpt1qtcDqdY/SXw+FAMBiEy+WSAktSYGpFPj9jkrozDEO6I1OqrFvwa2hoaLwaxmjK3fIv//Ivj/293W5HKpWC1+tFqVRCPp+Hw+FALBYTGoodjKfZnDn0y+PxIBQKYTQajQ33OgnHNZvk91mtVhn6dVL+5jhYrVaEQiF4PB7U63VUq1WMRiP86le/mur9KrTa7AhnMdB6/Y5wVgdHr+ER9D14Pkyzfq+FFptsyaL+y9kr04LJ8+FwONbccppjmFR0qb3MXlb/okZUk+cwWfCpoaGhofFqnNu40AhUq1Vpo9/v91Eul2EYxlhr/e8CNHSqUXhZ1MTZMP1+H3a7XZRqDodD+qDx7xoaGhoa0+HcxsU0zRcKFblhf1+wWq1iXCwWi/QfO0nO3O12ZQYMOwTY7XYp0tTQ0NDQOB2+1yLKs4Ldi03TlLYs/X4f/X5fCi7Zj4xG5SSOkIIENWrRFfkaGhoa58MP0rj0+31Uq9WxhpL9fh/1el0mT07iJONitVql3obQhkVDQ0PjfJjauNjtdlFaTUqK+fuXefwejwfhcFiq6s9CN6lJdkYo6u9IhwGnU4NoY6KhoaHxejG1cQkEAhiNRmi1WmOGYTQaodvtYjAYwOFwnFjRvrKygk8//RTdbhf/83/+T2xsbJz6YGlARqMRvF7vWI6ENS0AXjoqWUNDQ0Pj28fUu7DNZju2iSS7F7MH2Elwu92YmZlBp9M51gCp0cOrog7mRjjNkr/TUyM1NDQ03gxMbVwajQZGo9ELklxWsatRhFr9Tspsb28Pf/u3f4vhcIhcLjf2GVarFS6XCxaLRZRbx0Gtkud36W7FGhoaGm8epjYuJ81FMQxDogh1o1eLEUejEbLZrPQHm4xMrFYrvF6vyIZfZlzYvkUtkNTQ0NDQeLPw2ir0rVbrsZs9DcnLqC5W8dO4nAQ2mNRGRUNDQ+PNxmsxLsflYZh/mUa1ZZqmNKd8Wd5GLY7U0NDQ0Hhz8a3Jqk4jBR6NRi+NWFRow6KhoaHx5kPLqzQ0NDQ0Xju0cdHQ0NDQeO3QxkVDQ0ND47VDGxcNDQ0NjdcObVw0NDQ0NF47ph5zrKGhoaGhMS105KKhoaGh8dqhjYuGhoaGxmuHNi4aGhoaGq8d2rhoaGhoaLx2aOOioaGhofHaoY2LhoaGhsZrhzYuGhoaGhqvHdq4aGhoaGi8dmjjoqGhoaHx2vH/AWpttye2dH6iAAAAAElFTkSuQmCC", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "for X in batch_iterate(16, train_images):\n", - " fig,axes = plt.subplots(5, 5, figsize=(5, 5))\n", - "\n", - " for i, ax in enumerate(axes.flat):\n", - " img = mx.array(X[i]).reshape(28,28)\n", - " ax.imshow(img,cmap='gray')\n", - " ax.axis('off')\n", - " break" - ] - }, - { - "cell_type": "code", - "execution_count": 147, - "metadata": {}, - "outputs": [], - "source": [ - "def show_images(imgs:list[int],num_imgs:int = 25):\n", - " if (imgs.shape[0] > 0): \n", - " fig,axes = plt.subplots(5, 5, figsize=(5, 5))\n", - " \n", - " for i, ax in enumerate(axes.flat):\n", - " img = mx.array(imgs[0]).reshape(28,28)\n", - " ax.imshow(img,cmap='gray')\n", - " ax.axis('off')\n", - " plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 148, - "metadata": {}, - "outputs": [], - "source": [ - "z_dim = 64\n", - "gen = Generator(z_dim)\n", - "mx.eval(gen.parameters())\n", - "gen_opt = optim.Adam(learning_rate=lr)\n", - "\n", - "disc = Discriminator()\n", - "mx.eval(disc.parameters())\n", - "disc_opt = optim.Adam(learning_rate=lr)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 162, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "array(0, dtype=float32)\n" - ] - } - ], - "source": [ - "train_images, train_labels, test_images, test_labels = map(mx.array, mnist.mnist())\n", - "print(min(train_images[0]))\n", - "# train_images = train_images * 2.0 - 1.0 # normalize the image" - ] - }, - { - "cell_type": "code", - "execution_count": 156, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 156, + "execution_count": 258, "metadata": {}, "output_type": "execute_result" }, @@ -474,48 +373,121 @@ }, { "cell_type": "code", - "execution_count": 151, + "execution_count": 259, + "metadata": {}, + "outputs": [], + "source": [ + "def batch_iterate(batch_size: int, ipt: list[int])-> list[int]:\n", + " perm = np.random.permutation(len(ipt))\n", + " for s in range(0, len(ipt), batch_size):\n", + " ids = perm[s : s + batch_size]\n", + " yield ipt[ids]" + ] + }, + { + "cell_type": "code", + "execution_count": 260, + "metadata": {}, + "outputs": [], + "source": [ + "def show_images(imgs:list[int],num_imgs:int = 25):\n", + " if (imgs.shape[0] > 0): \n", + " fig,axes = plt.subplots(5, 5, figsize=(5, 5))\n", + " \n", + " for i, ax in enumerate(axes.flat):\n", + " img = mx.array(imgs[i]).reshape(28,28)\n", + " ax.imshow(img,cmap='gray')\n", + " ax.axis('off')\n", + " plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### show first batch of images" + ] + }, + { + "cell_type": "code", + "execution_count": 261, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X = batch_iterate(25, train_images)\n", + "for x in X: \n", + " show_images(x)\n", + " break" + ] + }, + { + "cell_type": "code", + "execution_count": 262, + "metadata": {}, + "outputs": [], + "source": [ + "z_dim = 64\n", + "gen = Generator(z_dim)\n", + "mx.eval(gen.parameters())\n", + "gen_opt = optim.Adam(learning_rate=lr)\n", + "\n", + "disc = Discriminator()\n", + "mx.eval(disc.parameters())\n", + "disc_opt = optim.Adam(learning_rate=lr)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Training Cycle" + ] + }, + { + "cell_type": "code", + "execution_count": 263, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - " 7%|▋ | 4/60 [08:34<2:00:03, 128.64s/it]\n" - ] - }, - { - "ename": "KeyboardInterrupt", - "evalue": "", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)", - "Cell \u001b[0;32mIn[151], line 24\u001b[0m\n\u001b[1;32m 21\u001b[0m \u001b[38;5;66;03m# Update gradients\u001b[39;00m\n\u001b[1;32m 22\u001b[0m mx\u001b[38;5;241m.\u001b[39meval(disc\u001b[38;5;241m.\u001b[39mparameters(), disc_opt\u001b[38;5;241m.\u001b[39mstate)\n\u001b[0;32m---> 24\u001b[0m G_loss,G_grads \u001b[38;5;241m=\u001b[39m \u001b[43mG_loss_grad\u001b[49m\u001b[43m(\u001b[49m\u001b[43mgen\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mdisc\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mcur_batch_size\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mz_dim\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 26\u001b[0m \u001b[38;5;66;03m# Update optimizer\u001b[39;00m\n\u001b[1;32m 27\u001b[0m gen_opt\u001b[38;5;241m.\u001b[39mupdate(gen, G_grads)\n", - "File \u001b[0;32m~/miniforge3/lib/python3.10/site-packages/mlx/nn/utils.py:34\u001b[0m, in \u001b[0;36mvalue_and_grad..wrapped_value_grad_fn\u001b[0;34m(*args, **kwargs)\u001b[0m\n\u001b[1;32m 32\u001b[0m \u001b[38;5;129m@wraps\u001b[39m(fn)\n\u001b[1;32m 33\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mwrapped_value_grad_fn\u001b[39m(\u001b[38;5;241m*\u001b[39margs, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs):\n\u001b[0;32m---> 34\u001b[0m value, grad \u001b[38;5;241m=\u001b[39m value_grad_fn(\u001b[43mmodel\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mtrainable_parameters\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m, \u001b[38;5;241m*\u001b[39margs, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs)\n\u001b[1;32m 35\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m value, grad\n", - "File \u001b[0;32m~/miniforge3/lib/python3.10/site-packages/mlx/nn/layers/base.py:310\u001b[0m, in \u001b[0;36mModule.trainable_parameters\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 307\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mtrainable_parameters\u001b[39m(\u001b[38;5;28mself\u001b[39m):\n\u001b[1;32m 308\u001b[0m \u001b[38;5;250m \u001b[39m\u001b[38;5;124;03m\"\"\"Recursively return all the non frozen :class:`mlx.core.array` members of\u001b[39;00m\n\u001b[1;32m 309\u001b[0m \u001b[38;5;124;03m this Module as a dict of dicts and lists.\"\"\"\u001b[39;00m\n\u001b[0;32m--> 310\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mfilter_and_map\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mtrainable_parameter_filter\u001b[49m\u001b[43m)\u001b[49m\n", - "File \u001b[0;32m~/miniforge3/lib/python3.10/site-packages/mlx/nn/layers/base.py:298\u001b[0m, in \u001b[0;36mModule.filter_and_map\u001b[0;34m(self, filter_fn, map_fn, is_leaf_fn)\u001b[0m\n\u001b[1;32m 292\u001b[0m map_fn \u001b[38;5;241m=\u001b[39m map_fn \u001b[38;5;129;01mor\u001b[39;00m (\u001b[38;5;28;01mlambda\u001b[39;00m x: x)\n\u001b[1;32m 293\u001b[0m is_leaf_fn \u001b[38;5;241m=\u001b[39m is_leaf_fn \u001b[38;5;129;01mor\u001b[39;00m (\n\u001b[1;32m 294\u001b[0m \u001b[38;5;28;01mlambda\u001b[39;00m m, k, v: \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(v, (Module, \u001b[38;5;28mdict\u001b[39m, \u001b[38;5;28mlist\u001b[39m))\n\u001b[1;32m 295\u001b[0m )\n\u001b[1;32m 296\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m {\n\u001b[1;32m 297\u001b[0m k: _unwrap(\u001b[38;5;28mself\u001b[39m, k, v, filter_fn, map_fn, is_leaf_fn)\n\u001b[0;32m--> 298\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m k, v \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mitems\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 299\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m filter_fn(\u001b[38;5;28mself\u001b[39m, k, v)\n\u001b[1;32m 300\u001b[0m }\n", - "\u001b[0;31mKeyboardInterrupt\u001b[0m: " + " 0%| | 0/200 [00:00 0 and batch_size:\n", - " print(f\"Step {epoch}: Generator loss: {G_loss}, discriminator loss: {D_loss}\")\n", - " fake_noise = mx.array(get_noise(batch_size, z_dim))\n", - " fake = gen(fake_noise)\n", - " show_images(fake)\n", - " show_images(real)\n", - " cur_step += 1" + " if (cur_step + 1) % display_step == 0:\n", + " print(f\"Step {epoch}: Generator loss: {G_loss}, discriminator loss: {D_loss}\")\n", + " fake_noise = mx.array(get_noise(batch_size, z_dim))\n", + " fake = gen(fake_noise)\n", + " show_images(fake)\n", + " show_images(real)\n", + " cur_step += 1" ] } ],