diff --git a/basic_gan.ipynb b/basic_gan.ipynb index 30dd880..37a6794 100644 --- a/basic_gan.ipynb +++ b/basic_gan.ipynb @@ -2,15 +2,22 @@ "cells": [ { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "colab_type": "text", + "id": "zqo_QMSe6GDT" + }, "source": [ "# LET'S GET READY TO RUMBLE!!!" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 63, + "metadata": { + "colab": {}, + "colab_type": "code", + "id": "DmsFJSsX6GDZ" + }, "outputs": [], "source": [ "from IPython.display import HTML\n", @@ -28,14 +35,18 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 64, + "metadata": { + "colab": {}, + "colab_type": "code", + "id": "9BcyhOLB6GDf" + }, "outputs": [], "source": [ "# Batch size\n", "batch_size = 64\n", "# number of epochs\n", - "epochs = 10\n", + "epochs = 30\n", "# learning rate\n", "alpha = 0.0002\n", "# beta1\n", @@ -53,8 +64,12 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 65, + "metadata": { + "colab": {}, + "colab_type": "code", + "id": "YXymB-bH6GDm" + }, "outputs": [], "source": [ "os.makedirs(\"data/mnist\", exist_ok=True)\n", @@ -76,7 +91,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "colab_type": "text", + "id": "SuolX5Cp6GDs" + }, "source": [ "First, we need to create our loss functions. From the first paper, the discriminator loss from Algorithm 1, which we want to maximize, is:\n", "\n", @@ -95,8 +113,12 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 66, + "metadata": { + "colab": {}, + "colab_type": "code", + "id": "e4JQU1H56GDu" + }, "outputs": [], "source": [ "# Some handy functions:\n", @@ -104,28 +126,36 @@ "# torch.log()\n", "\n", "def discriminator_loss(D_of_real, D_of_fake):\n", - " # TODO: implment loss for discriminator\n", + " # TODO: implement loss for discriminator\n", " # What sign should be applied in order to maximize it?\n", - " raise NotImplementedError()\n", + " # unsummed = torch.log(D_of_real) + log(1-D_of_fake)\n", + " return -torch.mean(torch.log(D_of_real) + torch.log(1-D_of_fake))\n", "\n", "def generator_loss(D_of_fake):\n", " # TODO: implment loss for generator\n", " # What sign should be applied in order to maximize or minimize it?\n", - " raise NotImplementedError()" + " return -torch.mean(torch.log(D_of_fake))" ] }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "colab_type": "text", + "id": "DLJhbG2M6GDz" + }, "source": [ "## IN THE G CORNER...\n", - "A simple generator can be constructed from sequenctial, fully connected layers." + "A simple generator can be constructed from sequential, fully connected layers." ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 67, + "metadata": { + "colab": {}, + "colab_type": "code", + "id": "ckC1b3SC6GD0" + }, "outputs": [], "source": [ "class Generator(nn.Module):\n", @@ -133,7 +163,7 @@ " super(Generator, self).__init__()\n", " \n", " # Calculate the size of the final output vector\n", - " flattened_out_size = 1\n", + " flattened_output_size = 1\n", " for dim in img_shape:\n", " flattened_output_size *= dim\n", "\n", @@ -141,7 +171,7 @@ " self.model = nn.Sequential(\n", " # Layer 1\n", " # TODO: what should the first network input size be?\n", - " nn.Linear(???, 128),\n", + " nn.Linear(nz, 128),\n", " nn.LeakyReLU(0.2, inplace=True),\n", " \n", " # Layer 2\n", @@ -154,16 +184,23 @@ " # TODO: add a fully connected layer with input size 256 and output 512\n", " # TODO: add batchnorm\n", " # TODO: add activation\n", + " nn.Linear(256, 512),\n", + " nn.BatchNorm1d(512),\n", + " nn.LeakyReLU(0.2, inplace=True),\n", + "\n", " \n", + "\n", " # Layer 4\n", " # TODO: add a fully connected layer with input size 512 and output 1024\n", " # TODO: add batchnorm\n", " # TODO: add activation\n", - " \n", + " nn.Linear(512, 1024),\n", + " nn.BatchNorm1d(1024),\n", + " nn.LeakyReLU(0.2, inplace=True),\n", " # Final Layer\n", " # Map to desired image size\n", - " nn.Linear(1024, flattened_output_size)\n", - " nn.Tanh(),\n", + " nn.Linear(1024, flattened_output_size),\n", + " nn.Tanh()\n", " )\n", " \n", " def forward(self, z):\n", @@ -171,21 +208,74 @@ " img = self.model(z)\n", " # reshape to (batch_size, channels, H, W)\n", " img = img.view(img.size(0), *img_shape)\n", - " return img" + " return img\n", + "\n", + "\n", + "class ConvGenerator(nn.Module):\n", + "\n", + " def __init__(self):\n", + " super(ConvGenerator, self).__init__()\n", + "\n", + " self.activation = nn.LeakyReLU(0.2, inplace=True)\n", + "\n", + " self.fc_1 = nn.Linear(nz, 128)\n", + " self.bn_1 = nn.BatchNorm1d(128)\n", + "\n", + " self.fc_2 = nn.Linear(128, 784)\n", + " self.bn_2 = nn.BatchNorm1d(784)\n", + "\n", + " self.conv1 = nn.Conv2d(1, 64, 3, padding=1)\n", + " self.bn_3 = nn.BatchNorm2d(64)\n", + " \n", + " self.conv2 = nn.Conv2d(64, 64, 3, padding=1)\n", + " self.bn_4 = nn.BatchNorm2d(64)\n", + "\n", + " self.conv3 = nn.Conv2d(64, 1, 1)\n", + " self.tanh = nn.Tanh()\n", + "\n", + " def forward(self, x):\n", + " x = self.fc_1(x)\n", + " x = self.bn_1(x)\n", + " x = self.activation(x)\n", + " x = self.fc_2(x)\n", + " x = self.bn_2(x)\n", + " x = self.activation(x)\n", + " x = x.view(-1, 1, 28, 28)\n", + " x = self.conv1(x)\n", + " x = self.bn_3(x)\n", + " x = self.activation(x)\n", + " x = self.conv2(x)\n", + " x = self.bn_4(x)\n", + " x = self.conv3(x)\n", + " x = self.tanh(x)\n", + " return x\n", + "\n", + "\n", + "\n", + "\n", + "\n", + " \n" ] }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "colab_type": "text", + "id": "jGP910OH6GD4" + }, "source": [ "## AND IN THE D CORNER...\n", - "The descriminator can also be constructed from sequenctial linear layers. We need to down scale the input to a single value for classification." + "The descriminator can also be constructed from sequential linear layers. We need to down scale the input to a single value for classification." ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 68, + "metadata": { + "colab": {}, + "colab_type": "code", + "id": "BBromWyi6GD6" + }, "outputs": [], "source": [ "class Discriminator(nn.Module):\n", @@ -199,28 +289,102 @@ " # TODO: add fully connected layer with input size 512 and output size 256\n", " # TODO: add batch norm\n", " # TODO: add activation\n", - " \n", + " nn.Linear(512, 256),\n", + " nn.BatchNorm1d(256),\n", + " nn.LeakyReLU(0.2, inplace=True),\n", " nn.Linear(256, 1),\n", " nn.Sigmoid()\n", " )\n", " \n", " def forward(self, img):\n", " # Flatten the image and feed into model\n", - " return self.model(img.view(img.size(0), -1))" + " return self.model(img.view(img.size(0), -1))\n", + "\n", + "\n", + "class ConvDiscriminator(nn.Module):\n", + "\n", + " def __init__(self):\n", + " super(ConvDiscriminator, self).__init__()\n", + " self.activation = nn.LeakyReLU(0.2, inplace=True)\n", + "\n", + "\n", + " self.conv1 = nn.Conv2d(1, 64, 3, padding=1)\n", + " self.bn_3 = nn.BatchNorm2d(64)\n", + "\n", + " self.conv2 = nn.Conv2d(64, 64, 3, padding=1)\n", + " self.bn_4 = nn.BatchNorm2d(64)\n", + "\n", + " self.conv3 = nn.Conv2d(64, 1, 1)\n", + " self.bn_5 = nn.BatchNorm2d(64)\n", + "\n", + " self.lin_out = nn.Linear(64, 1)\n", + " \n", + " def forward(self, img):\n", + " x = self.conv1(img)\n", + " x = self.bn_3(x)\n", + " x = self.activation(x)\n", + " x = self.conv2(x)\n", + " x = self.bn_4(x)\n", + " x = self.activation(x)\n", + " x = self.conv3(x)\n", + " x = self.activation(x)\n", + " x = x.view(-1, 64)\n", + " return torch.sigmoid(self.lin_out(x))\n", + " \n", + " \n", + " " ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 69, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 415 + }, + "colab_type": "code", + "id": "IDPbS78_6GEA", + "outputId": "46b30902-8da9-46e8-8fcc-63128406ac7e" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ConvGenerator(\n", + " (activation): LeakyReLU(negative_slope=0.2, inplace=True)\n", + " (fc_1): Linear(in_features=100, out_features=128, bias=True)\n", + " (bn_1): BatchNorm1d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)\n", + " (fc_2): Linear(in_features=128, out_features=784, bias=True)\n", + " (bn_2): BatchNorm1d(784, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)\n", + " (conv1): Conv2d(1, 64, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1))\n", + " (bn_3): BatchNorm2d(64, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)\n", + " (conv2): Conv2d(64, 64, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1))\n", + " (bn_4): BatchNorm2d(64, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)\n", + " (conv3): Conv2d(64, 1, kernel_size=(1, 1), stride=(1, 1))\n", + " (tanh): Tanh()\n", + ")\n", + "ConvDiscriminator(\n", + " (activation): LeakyReLU(negative_slope=0.2, inplace=True)\n", + " (conv1): Conv2d(1, 64, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1))\n", + " (bn_3): BatchNorm2d(64, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)\n", + " (conv2): Conv2d(64, 64, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1))\n", + " (bn_4): BatchNorm2d(64, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)\n", + " (conv3): Conv2d(64, 1, kernel_size=(1, 1), stride=(1, 1))\n", + " (bn_5): BatchNorm2d(64, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)\n", + " (lin_out): Linear(in_features=64, out_features=1, bias=True)\n", + ")\n" + ] + } + ], "source": [ "# Create generator and move it to the GPU, if available\n", - "gen_model = Generator().to(device)\n", + "gen_model = ConvGenerator()\n", "print(gen_model)\n", - "\n", + "gen_model = gen_model.to(device)\n", "# Create discriminator and move it to the GPU, if available\n", - "disc_model = Discriminator().to(device)\n", + "disc_model = ConvDiscriminator().to(device)\n", "print(disc_model)\n", "\n", "# Initialize optimizers\n", @@ -230,18 +394,36 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "colab_type": "text", + "id": "Q7M8ohva6GEF" + }, "source": [ "# FIGHT!" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 70, "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 17 + }, + "colab_type": "code", + "id": "uV1SgE_x6GEG", + "outputId": "50c289c3-69c4-436e-fcd6-c420a16f3c48", "scrolled": true }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[30/30][900/937]\r" + ] + } + ], "source": [ "g_losses = []\n", "d_losses = []\n", @@ -249,7 +431,8 @@ "# A fixed set of z vectors to periodically generate images from\n", "fixed_z_vecs = torch.randn(64, nz, device=device)\n", "iters = 0\n", - "\n", + "from sys import stdout\n", + "epochs = 30\n", "for epoch in range(epochs):\n", " for i, (real_imgs, _) in enumerate(dataloader, 0):\n", " # Move the images to the GPU memory, if possible\n", @@ -260,16 +443,18 @@ " #\n", " # TODO: compute D(x)\n", " #\n", - " D_real = ???\n", + " #print(real_imgs.shape, 'real images')\n", + " D_real = disc_model(real_imgs)\n", " \n", " # Run D on generated fake images\n", " z_sample = torch.randn(batch_size, nz, device=device)\n", " #\n", " # TODO: compute G(z)\n", " #\n", - " fake_imgs = ???\n", - " D_fake = disc_model(fake_imgs.detach())\n", + " #fake_imgs = conv_gen_model(z_sample)\n", + " fake_imgs = gen_model(z_sample)\n", "\n", + " D_fake = disc_model(fake_imgs.detach())\n", " # Compute D's loss and update D's weights\n", " disc_err = discriminator_loss(D_real, D_fake)\n", " disc_err.backward()\n", @@ -283,7 +468,7 @@ " gen_opt.step()\n", " \n", " if i % 100 == 0:\n", - " print(\"[{}/{}][{}/{}]\".format(epoch, epochs, i, len(dataloader)) )\n", + " print(\"[{}/{}][{}/{}]\".format(epoch+1, epochs, i, len(dataloader)), end='\\r')\n", " if (iters % 500 == 0) or ((epoch == epochs - 1) and (i == len(dataloader) - 1)):\n", " # Periodically capture generated samples using the same z vectors\n", " with torch.no_grad():\n", @@ -297,9 +482,37 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 71, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 350 + }, + "colab_type": "code", + "id": "sKhfCbtl6GEL", + "outputId": "d54daa5f-dd8c-4be1-8bfa-6ec7ef2a7caf" + }, + "outputs": [ + { + "data": { + "image/png": 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UExEREcVeTHPCRCQdOgAbqJQa6T9fKVWglCoyXv8OIF1EDrZYrq9SqoNSqkPz5s1jmWQiIiKiuIhl60gB8C2AlUqp7jbLHGosBxE5y0hPTqzSRERECSCsmE+pKy0tDaeeeipOPPFEnHLKKfj0009RU1MTlW3HsjjyfAD3AVgqIouMaa8CaA0ASqk+AG4H8ISIVAEoBXCXUmzDTERERMlhn332waJFOozZtWsX7r77bhQUFKBr164RbztmQZhSajqCtEtWSvUC0CtWaSAiIiKKlhYtWqBv374488wz0aVLF0iEubwctoiIiIjIpXbt2qG6uhq7du2KeFsctoiIiIiS3x+dgR1Lo7vNQ08CrvkgutsMAXPCiIgoPljll+qADRs2IC0tDS1atIh4W8wJIyKiGGPrSIqCBOZYeWRnZ6Njx47o1KlTxPXBAAZhRERERLZKS0tx6qmnorKyEvXr18d9992H559/PirbZhBGREREZKO6ujpm22adMCIiIqIEYBBGRERElAAMwoiIKE7YOpLIjEEYERHFFseOpAikymiG4aSTQRgRERElpUaNGiEnJyfpAzGlFHJyctCoUaOQ1mPrSCIiIkpKrVq1QlZWFrKzsxOdlKAaNWqEVq1ahbQOgzAiIiJKSunp6Wjbtm2ikxEzLI4kIiIiSgAGYUREREQJwCCMiIiIKAEYhBERERElAIMwIiIiogRgEEZERESUAAzCiIgoPpK8w02ieGMQRkREMcZhi4isMAgjIiIiSgAGYUREREQJwCCMiIiIKAEYhBERERElAIMwIiKKE7aOJDJjEEZERLElbB1JZIVBGBEREVECMAgjIiIiSgAGYUREREQJwCCMUldFCbBjaaJTQURucdgiIh8Mwih1jXgU6HMBUFaQ6JQQkSNWzCeywiCMUlfmLP2/uiKx6SAiIgoDgzAiIiKiBGAQRkRERJQADMKIiIiIEoBBGBERxQlbRxKZMQgjIqLY4rBFRJYYhBERERElAIMwSqyc9cCuleGty44fiYgohdVPdAJoL/fF6fp/l/wINsKiDqKkxgcmIkvMCSMiojjhAxORGYMwIiKKE+aIEZkxCCMiothi60giSwzCiIiIiBKAQRjVASziICKi1MMgjFIXiziIiCiFMQij1MVm70Sphb9ZIh8xC8JE5AgRmSwiK0RkuYg8a7GMiEhPEVknIktE5PRYpSeZKaUwadVOKF6gwsQcMaLkxt8okZVY5oRVAXhBKXUCgHMAPCUiJ/gtcw2Ao42/xwF8FcP0JK0RC7bi4f7zMHD2lkQnhYiIiOIkZkGYUmq7UmqB8boQwEoALf0WuwnAj0qbBaCZiBwWqzQlqx35pQCA7cZ/IiIiqvviUidMRDIAnAZgtt+slgAyTe+zEBio7TVYGklERLT3iHkQJiKNAYwA8JxSqiDMbTwuIvNEZF52dnZ0E5gEhK38iIiI9joxDcJEJB06ABuolBppschWAEeY3rcypvlQSvVVSnVQSnVo3rx5bBKbBJgRRkR1G69yRGaxbB0pAL4FsFIp1d1msdEA7jdaSZ4DIF8ptT1WaSIiogRgbj+Rpfox3Pb5AO4DsFREFhnTXgXQGgCUUn0A/A7gWgDrAJQAeCiG6Ul6rBNGRES094hZEKaUmo4gncMo3THWU7FKQ6rgQ2K4GLUSEcVMTTXQ/QTgX+8CJ9+R6NTUSewxP4koBhXhYRRLRBR9FUVA0Q5g7POJTkmdxSAsCQh7k44My3GJiCgFMQhLJowlQsTglSil8IEpNfG4xQyDsCTgKU3jaU5EdRMfmFITj1usMQgjIiIiB8wiiBUGYUnA86yhQsnyra4CFg9hNjEREcUGGz3FHIOwJBDWef7P58Av/wcsGRr19BAREVHsMQhLIp5MrT3FFXhx2GKUVlTbL1xkjKFZkhv7hCUt5gISpRb+ZlMSS1xihkFYApVUVGHj7uKALiq6T1iD4fOz8PO8zASlLMUwy5woufE3mqJ43GKNQVgCPdx/Li79ZErt+6lrs7F6R2Hte163iIiI6i4GYQk0a4MuSvQEW2t2FuGqHlOxo6AsgamihMteDdTUJDoVREQGFkfGCoOwJDRhxc4QluaPw5XqSqCyNNGpCG7HUqD3WcD0TxOdEqLoYZ2i1MTimJhjEJYEFmflW05fs7MQG3cXW6/EH0dovr0S6HZoolMRXH6W/p81L7HpIIoJXrdSEoPomGEQlgTGLN5mOX3ArC0+dcYs8cfhzraFiU4BETHnnsgHg7CUxSfKOolBNdVFzLlPbTx+McMgLEGGz8+K0pZ4066beNEjoiTBh8OYYRCWIF//vd71srsKy3Byl3FYsa3AO5FPJnUcL3q18rYAWxckOhVEeyHeZ2KNQViczN+ci/KqagyeswUZncdiR777bigmr9qFgrIqXNtzGnKLK2KYSqIk1OMkoN+liU4F0V6MD4WxwiAsDjZkF+G2r2ai65gVGGb0gl9YXuV6/Yoqb59RL/y8KOrpoyBWjgEKd8R5p3wCJaIEY4lLzDEIi4M9JZUAgJXbC4Isae2NX5fXvs4rrYxKmsilqgpg6L1A/+sSnRKi1Me6RUQ+GISlOl7UYsz4fvO2xHd/RHUKc1RSGu8zMcMgLI6U8r3FniQbEOpNt/a3UJtNnII/jt3rgN5nAyW5sd1Pl6Y6FysV+RcDFO4ACqz7kyMiotTEICwOzPfTmhodNF1QbynGNHwd96eNT1CqEmh6dyB7FbD698i2U7pH/3cajmjlmMj2kSj+T56fHgt0Pz4xaSEiophgEBaKihLgl45A8e6IN9VG9PiQx0po/YXFLN9rUjfgt/9Gvh2lgKryyLcTiuW/eF8X79Y5YEuHxzcNRER1VgqWuKQIBmGhWDwIWDwYmNwtrNWT+jSe+hEw7ztg7reRbWfed8C7LYC8zODLRquegTmrcfca/X/uN9HZdjjW/QXkboxsG2yVRHVSUl8FieKOQViqi3aFybHPR7a+J1cqd4PDQikYYITyPQ+4Feh5auD0+T8AIx+P3n6IUkUK/uTJhNelmGEQFkdRuQ55a+ZHY2vJI3t1+OvG9AIRxe95zDPAkqHx328oKsti32CCiIgAMAgLT5g3/XW7irB0az4AQJgtD5+iiZ3LEpeMpJSg8+Onm4GP2iZm30REe5n6iU5Aagkvd8KzVpFFL/mR32qTNJhzqtNUxzLx6pQtMxOdAiJKFiyGjDnmhKWY2p9ENCpuV5UDX18MbJoR+bY83Pxoo/67Nm0wa27sth1XjFSjbtK7QNcDEp0KIqJaDMJSzJKsfN8JnqCnugr4+iJgTQj9juVuALYvik7XFAHiGESYA78Jb8ZmH2ytmPqmfgyomuDLJbvd63Q3LDuWxn5f1ZVR6ZKnFnNWUhSPW6wwCAtLaCekRPsGvmEKUF7oO600F9i+GPj1yRA2FMNe90tzgfWTnHdrluwX51ilb/c64J9e5h1Ftj2lgDHPAdsWRrYdSl6rjA6Ilw6L/b5+fQr4+Ej9kBcRPsQQWWEQFoowgykVxRt4MxQCP96k++MKZs14/cRsNe5heRGQOduTwKilrzaI+Pl+4KdbdAe3tovGoJ+wqIvxzeO7q4DxrwX2+h/uZyrdA8z/Xn/38aIUMOUDoGB7/PZJ8Xlw8XQ5o6pjvy+ivRCDsBTTEJXuF174k/6/dUHgvJGP6y4TAEQ1J8z/xlBj9QQdhcBm++Ig20uRJ++KIuvpyZ4zaLZtITDlfd0/WvaaRKdmL5CAczuVzkeKvmQ8/kuHA1vnJzoVEWMQFo4QT8j3/1hlv6lEBQs7lpgSEYOcsFirLIv/Pj1mfgnkhzbclI/8rcCQe4CK4vDWz1kPfHVB6P155W3ROaPrJ4e3Xzs1Ri7JrhVA7zOju21yEI/zPoZVFshZ3pbkDH6SxYhHgH6XJToVEWMQFpLwAqY5G6PX+WVg/2LGe8sfq9MP2PxZYvlDd9p2JPsNtm4Y23Yz1FJeJjDuFWDQXaFv3+Ovt4FVvwErRtsv41QcOb07sHOp3oYbSunAbcss/X7RQOvlxr4QOG33OmDbInf7ofiIZyMRNkhJjMw5QI+TgAU/JjolBgaDscIgLNW5eVIKdiFNxaetaKd58z9Aj/bAokHeaTO/BLLm+O3XyPUpM1qpfnc1sHBAiDuL8/c9+2vgi9O9xdJ2353VeJu9zgD6Xhy7tO3tfumocyfDEc/fbdT2ZbOdlWN0lzkELBkGfHulfp05x3lZcrbkZ+DT47259UmIQViM7SmusJwebo/5tsWXoT6xxuoB1/9i7XjxDpKIvC2RFfu5VboHWDVWvzZf9Ma9AvS/znjjP1yU8X7LTN2CLBxWxywW/ax5Asldy303sOJX7+eOSAoG8cli8eDQls+cE+duNqJUHOl0fdrwNzD0Xp1DXFdtnQ+sdJlzPfWj2KZlbzLmWaBwG1BVFnzZBGEQFmOzbYoiPUFYqHXCggZvxdnA38aP2PU4k4m6iQbZb4+TgM9ODL5upE/pX54HzOwVfDnAezOJZJ/RylVwHCTdzEjzxqm++//5fmDI3dFJC8Ve5lydQ/L3x9bzPz4amNjVeRuh1iOMR3FkqZEmcyvuUU8Bq/+M/b7jpd9lwNB7wlgxzGtFSa7OYV03Mfiy07rrkgDHZKT4g1YSp59BWILF5NSY3M33fTjFkaV7dAXykEWheDTagv0AC7eZF9b/7G50wQJaNzl3S3/2bss/ba6+G2Od6Z+5WDbJrZ3gri5eIuVl6i5dEqG6CijapV97ztNKvwYdv3YCxr0GFO/S9QXtTP1YjwsacvF5FLjKEVc60KwqBxYNAAb/Ox4pS0Kma0C4wYOn4dX0HsGX/asr8P014e0n3j49Dvj2qhBWSP6GJQzCYii3uAKvj4pur9aBOWdOFfOdBKmY3+MU4LMTQtymVToc0uU2zZ6bdP5WXU/Lf91gxXqr/3C3H7PJ7/pNcBk42ubcuTDwTmBWH/1691pvC9BQRkHwMH/+4mz/mWElLyrKC3078R14O9Dn/MSlx40e7YH+10ZnW9WV1gGdXX2oP18GPjkaKCuA7Tm48Cd3ObmTjHN6xueukhobFp/B8/vN2QB8ewXwx0vxTVKsLB0OFPn/9lxwehCrrnJZv6mONqgo3A5kzrKfX1UBFJgeqqNRchFjDMLC4u6AfvDHSuwusq4TZrY/ivFV+me6I9Yg/IsjHc8tp5nmH7rVYuX5FhOjJcQLRK8O+ul9yH90Pa09m4OvY/6h+o8u4EQpl72DR+FHLeJ7HNaOAzZP1693r/bWNRt0R2T72fi373u3FyTzxcxORUngsDaVDvUvRv6f7kjWnGNYFstzLUrM/dK900IXl9XU6Hp1oVzgh94LvN8ycPqIR62X99TZKy8MvDnP7AXsWOZ+3x7h3JBy1gGrfg9tnbwtofW0X7pH/9++xHm5VFC0S3ehMOQ/Yazs8ID8zkHAN5e72ES0g48YBTHVVcDnp+qGGdEw6gmg+/H6YQcAc8LqmhCL0WpcHvf70ibgmrS5eLR+iBc5ABt3OxSTlOTo/9XBAsEY9hMWjYtAVZkOSDw365oq3/0E3YfF/PJCoNthujjMn1M9ilAubj8/oJ/M3LDa3rLh1i3nQmkRW23RuW9+FtDz9ODb6Hma/byqCmDBT8A3VwTeaDznnZXdq/V/p5EUoq2sILpFt9VGcdm8b3W9ulCK99bY1HNaOVpXUA8Q5CYyt5/7fdcK5Tdp7P/ri0ILKAp36jqd4193sW+b3H0AmPc98F4rHfC6sXuttyuWRPJcc60eZLo0Bf58xX5dCVIcaR6S7LP2QO9zrDbiKpnBReneUF2pW577f57SXGDPRt/xiytKdDFqOC0aPd32eDoJT4EuVlwFYSJypIg0NF5fIiLPiEiz2CaNzBqgEi0RmLVdVW2c1FYnmyc3aNlI541H62lp91oga679/JoaXTk8Z739MtVVfr3hm0XxB5W9BqgsCaw/B2UzRItF68hglZxXjNI5d7bE22rHKeBx41ebisyVFsHO1nlArsMx8HBqUTT1I2B0J1OLS7dsgopMh/PGo0tTd7lz/sa/Dkzs4rxM4Q69/VByewqNYZqKdvhOL87RrbKccgSt/Hhj4DTP7/qzE/WYsYELhLYPILTWlSQThX4AACAASURBVGEPn2X8NmZ/5X47Vg84v78IVBT6jrxRXQX0u9y60+FeHfRQYIAOxjzDLiWbWV9GZzv5mUD2Sn1N3bXSYgGlz23/303pHuDdQ4GN06KTjmCmf6ZzqZYO1+9X/qb7ILQy5T1g4lvRGRvVc67XgeLIEQCqReQoAH0BHAFgkPMqe7fFmXmYv3mP7fxQLm2HIBdrGj2AGY2eRUPxz9mIUZ0wj3UTgZm93W0y2HiFM3oAP9zgLXKzMuV9/dQdrJglVj+qYNs130zcXCSs+t6y2pb/jTwU2xbp3BjLiswxehIMqGdmMvJxYK1NbqJdTqLbjmezV+ngpqzA3fIAUO6w7KJBwM7l3sDfzZiswfzVBZjf39QAw0JlqX3/YDU1wNRPAuuBze8fuKxdcLN+UngBa9SY0lVTbd2SN2+LX+BgFaBbfL6iHfpBIljXMN9dBQx7UI9M4T82azjyMn1bcG6aYR9IhCtzbnhp/eJ04EtTjpj5d/bpsbqIbtsib87/toVAVSkw7RPr7VWVA2vGhZ4Oj+IcfX57gq5C4/pWlqf/D71H90Fotm6i7oLFU33E6gHSw+p8WvKz98HRc33xDAu3aGB4Rfdx4DYIq1FKVQG4BcAXSqn/ATgsdslKci4CgJt6z8DG3cGHpbkmbS72EedOCmc36lT7ugFCqGMRDQNuA8a96m7ZYMWetjlcJtuMDkWtghKxCxyDHA+r4+UYm1jMrKnyvQn6b7PbYfa5LXY3w2gNH9Tv0uhsxyyS1oCbpwMDb7OZaffFhxBUf3M58MERISTIb5/mYzfqCeCr87zL7F5jn1P75Xn6OAdjfvqe+611wFi003791b8Dk94JzEW1vO7YfJ8/3QJ8HY1OdsMM4s2/1SkfAMMfDlymx0k6cPAPJEMe/SOI9w7XQYgbuRttchyhG2j0OEm/zs/SjTX8Awl/BVtd9v2ngO+v0w0T9mw0z3CTagsWx63vxbohjB1zS8rxrwOD7gSy5gUuN/ppoNvhzrvPWav/z+lrTDB9DrsHqAG3eTup9VewzbcusH+fcmX5wMjH7NMz7tWkbQDkNgirFJH/AHgAgOeRNT02SUpm0c9VaCF56FT/17DXd5UiEZ17YB5+Jli9A39RyXlyaDk54hHnRf3TElJ6opRrNuZZ+3mVJfb1jrofD2RZDDS7KIyuArpbtFg1Fy95cqg8lZzDLU6yqjweVUHqDmavBnqdaV3kuzPCJ1rLoNz4nvI261wFK7uWOz+dezem/23+Bxj7vP5zK2e9tz+p8qLgx89qvqd+TfEu63WUAj5orXOJnNKxZ1Ow1DolzPsyaF9VDvXeaoyc/8zZOmcl3Arcnt+DUr71y5TSHal6zomepwI/3uS8rZz1vq2gS/c4X48+Psp6erFf3UmrEgJzjrNV/dWgQrj2TXzL+9qT01Rq8ftb8KPuJsWpvqv/cfJ8PyW5vg9QbrrQAPQ19POTrecpldQ94gfjNgh7CMC5ALoppTaKSFsAP8UuWXunqA7mPfL/TG9EP730vVhXmLXYc1CbZ+ggxGmIFas6MJ+dqHMQAJeBk9N3EOb347Rfc/GCXjjIjS/M1jaro9EzPfST9TrTxdi/ZeK6v6Kzn1jxfLejnvArivL7Pqd9qnOl1gbpnmP+D7qfrKXD7eu3uApEo/jb8+zPE7D5HyMg8Abs8fuL3teqxkW6LOYHLVJVOufAqb7UF6cDn58SfhBvXs+Tuw04B8Dm9Pn74Qb939OFS7gG3wW8fYD3/dLhuiPVUHrrz/fr1+7DDOCfnvp1TY0u/jQflxLT8Td//o/b6UCmqty+eH/9JF3sCTjnYvmTeoH7C4mLBkgT3tQ5rv73hI3T7LtM8c8BnmVUdXGq3hBMdWVgELZ2vHXL3CKbB5MEchWEKaVWKKWeUUoNFpEDADRRSn3otI6IfCciu0TE8rHVqOCfLyKLjL83w0h/giRvJb9aS4aY3ihdhwLwlpGH2iFgdaW3OM4qixqw7taisiRwuByPnU6Vuh2zwvzmh1M52fjv35IvWAe1nhtG0c7Qur6Y9qn7ZYMxX7A+PjLIwjGqE+bmnMnL1OeNT70ZIz3bFvrWYfFsr3i3bu1lNxpA9hrv6+W/AGOe0f1kjXgE+OF6d2m3aqHo/zWZ92PHtuK9i6Dim8usVzX3oeaUc1y7qyDHd9N0YIrfpdrp2K2dEP16Tq55bvxOy7i89loVeWXO8T325UW68QwQ2MltTbUO7nevDdyOVU7Zqt91ADblPV38adftyiS//gc/PRZ4t4XuC85O/2sDqy50aQoMtmitWmFUgamtE2bTCMPuHPjxZl1/yxPEmb/vBX75LrO/8j1fS3L1915qqgu9fTEw4S3TfccFT9rm9AO+PDf48u82Bz7xy20c9oDunNjf5PfcpyNO3LaOnCIi+4vIgQAWAOgnIg5dMwMA+gO4Osgy05RSpxp/yT9wmHFij1ywFW+MiqxIJNyxIwNFmrvkchvmH/M3l+u6E6Hy/+FbVVp3uqmYW/TFqmJ+5mz3y056JzZpiIjf9xKtJto11cBXF+g+sv52ObZdj/ZA77N0vZlglcQ9T84rftWtvexa2f75sve1VXHaLx2BD9tad83hMeQ/FgGU3/dU4SLA9jzF+6+74Af931PBesOU8FrpKeW3aatjGeT49r9OBwb+27Uz8Hbnek6eAKRgW5ABt0M571wErbWzXFZF+Mqi/o9/faPPT7FvEDL8IR3cD38o+L4A3RL97QN0Qw/Avv6rf0V4q+I+K+ZuKTxWW7TkHfWk8cLt9++33IbJuo6kVQOa0Z1ga/jDejSGT44xBXDQFeVn9PA2YgrlerRrhf4rtW/g5siqOL3Sol/DBHNbHNlUKVUA4FYAPyqlzgZwhdMKSqmpAEIcqCw1VFYr/DTLRYehcdAkb5U+qZy6E1B+dSCA0OuE+V8Yc9Z76+vkZToXU0bb3G98s58nvBFkhRACtqDfRZL3OxOr4LQsH9i5VPeRNbmb+xZcnhwtz7nidBFeMsy5wrobiwfrG5tPXTKLfXY7xLc4dMlQ3/k7V7jf5/rJulJxVYW3NRjgW2w87MEwx0I0pd3quwsryPY7R4pzHIbb8r9JT9G/9e7H61ycLk2txx0MJV2uKubXztS5e4AumrerC5TvX83AQonDzXiFUU93x1JdtcPt9a3AyEkf1dHd8m791dXdcv7dVGTNCX1fJTmwvc7Z/e6XjdD/q0pdVudw4J9792FGeNuxuu4vGeqi9CC+3AZh9UXkMAB3wlsxPxrOFZHFIvKHiEQw3kvdEM7t89BtE/RJZVdpEdBPe46DPbvJCfN7P/A2/eQD+N5s4mF2n8BctC5NfTv8MzNf1IM+VSk4/sCTvvO/MM4iN4Gb51h7OHW/YLmPGmMIF4fvb+SjwN8hFJ05WTJEF3eX5Nofs76mVqX+ORejOwG7Vrnb1+bpuvL5pLcDG5iYhTMWYtDzzeX5aA5W/L/Tj4+0H27LafOe31JtCzgABduDH7M9m4Hf/2exLxf1LbfM9M0VevtA4LurQwuaAW+xnRs+VTuS3O7V+lrodN74dO0RYsvybocGT8OQu+3nubl+LnRT3TzE0psk5jYIexvAOADrlVJzRaQdAIvC8pAsANBGKXUKgC8AjLJbUEQeF5F5IjIvOzuCCnxJJHrFkaFysV/LJsRBighc7TqKPwpPfzNmthWSTen7MAP442Wb5aBzFCOpJJpo5u+4YBtc3aSd+jKLlkUDdb2NkDt3DdOEN3Wxykdt7XvnrzI91WdbBFzDHtC5c25Fu+NL5fdA4KpSuw1zy90CU67X5pmo/X2MfibUFGrLf9Gtf3etBLofpx+SnNL1+cm+gVuoFvzo+37LTOCrc120wjSJSvcdyczh+184IIRWtylQ/9mOVQ6th1OH4XHmtmL+MKXUyUqpJ4z3G5RSdh0BuaKUKlBKFRmvfweQLiIH2yzbVynVQSnVoXnz5pHsNi6y9kRnSJYM2W7ZS37EKop9e6D2v7hbVTzdEYWByK3qMPjzVPQMFtiFkkPiX7l2dpAWVk51H5wq0CYD8/fS73K4uog65pJGSbDv3E40ch7DbZmavUrnzrm1fVHwZULi11LXciQHl9+PVQVzAPjeVG3XU5fNzO24nt9c5m1oYTn8kofF+ehfBB3st11lUyQ2IIRbUk6keQjJLtLrp4vWkcmuwKGRlV03NAlQ381CItIKOrfKU9txGoBnlVJ2FQncbPNQADuVUkpEzoIOCB0GnUsd67ODZ3VbXTovqLcMJWmN0KdaD18ypeELUU6Zsef3/Dra868bYW5S7mFXJ2FlNEun4T63LJRcNU/zcbOtFv121QXm76XQZY/pTpXYE+2vZGz8ECduHlrcBqnxLJpx1bWGSfZq/w1EMzXuWbU2TFXBgqfaloM2xylmOWHJXp0j/twWR34PYDSAw42/McY0WyIyGMBMAMeKSJaIPCIiHUXEU2PxdgDLRGQxgJ4A7lIqucPu9bt0M1unokSlFB74LozKkABOr7cOndNjXP/A6mk3EkPv0S1Yos2poQEQXoVTs6023WykOqfBs+2ENQh0nBSE/ZxHZuG2MAtLsL72/PhXrk/UbcBN0JsygnyHW2YGWT1GxyBqdWrrTjDnKicMQHOllDno6i8izzmtoJRyfKxQSvUCYNOjW3LqM20jPk7wOAFHS4Q3JatcoUi5qVMUanFmsCGQIpXc8X74rOo2Ud3l9qYWz/PCvy5bMJ5e8cPtCJkCRXx9U1HaDgXjNicsR0TuFZE04+9e1JGiw2iL9Tn7ZYMYBFHx0OeC0JYPa4iOEFQ7j9eZsszjqwG6w0mqw9wWR8bzZhpqTlicx8PdG0Ra/Ow5X5K2hWHdCQ7dBmEPQ3dPsQPAduiixAdjlKaUVndOjQQw98UT62bhK8IfrzOp+Vc4Xj4yMemg+HBb/Gw3jmQsOAV8Vjni/jd65r5EQTw7Aw9BCo/xGCtuW0duVkrdqJRqrpRqoZS6GUBErSNTWbA6YUREceE2pyLWxfs+Qi2O9P8MvIZGLFr3oWjfz5K5/mmCuM0Js/J81FKRgnqn9/DtHTtEiesnjMhCKJ1XEjlRNfbFkQe2C5zmKY6srRLGa2PE3Abndt2q1AbtSXos1k0KvkyKiCQIqzvNE8JwXdocy96x522OZyskoigZem+iU0DhSMaAxalivlX9r4DRF5LwM6Uat0GYXavZ9X8Z20nSY1Husv86J0nSNU8kQViSHp3Yc6pzelffWfFLCFG0bJqR6BRQOCw7cE00h4r5eS7GdEzWG38q2Tg1Shuqw8ciFl0rhcExCBORQhEpsPgrhO4vrO4p3AlM/QTYvS5glrJ4uluUaTF8DlHKqcMX27psc5D+nhJh68Lgy1gyrq97NkYtKXut6d2jsx27kRYoahyDMKVUE6XU/hZ/TZRSbvsYSy0lu4FJ77ge4+7RH+bGOEFEcRDXitsUNcnYmW1FIbB9ifvl92uh/+dtdl6O4m9mSnXlGZq4dmBsL5LiyLopfV/9327Q36hhzgMRxVHz4+O3r8H/dr9seUHs0kFk58ebkqLLDAZh/ho01v8rilwtvruoAqUViT+QRESOslcmOgXWgg1RRhQrbx8IrJuY0CQwCPPXYD/936/J/q5C+wvFnE25AIDpa3fbLuNvr25aSkRElAwGJLbLUwZh/tL3ASABQVhVdfAOWu/9dnYsU0ZERER1CIMwfyK6SNIvCOs9ObC1JBEREVG4GIRZabBfQJ2wpVu9ncOZe7s/S1biwe/noqo6WQc6JSJKIpe+5vv+zp8Sk454OP3+RKfA2smmhhOtz7Nf7tYIhhl6bSfwRg7w6F/eaTd/Zb/8k7OBK98JnP7vAYHTPHW3r/4QOO8Z7/Tre7hP30FH6f9vJraVJIMwKw32DcgJW5KVD6UCa3J1qLcaAFBWFVoQxmGLiOq4az52nv/g78G3cfUHzvMf+sP7+i0XfRbe+o319AtfCL7uw+N93/9vA3CPw9BtN/cBuuQDj032nX7xS3r60wuAjjOA42/wzmvWBri4M/DAb95pzY8HrvvUeh9d8vWf+f0JNwPHXa9v6lbu+8X7+pWtetnT7gU6Z+qg4abe3vnHXG3/+e4ZDhx9FXD+c8Dhp+l9v56tA437Run3N34BnOo3GsXVHwD10oFznvJOu+p90/wPgSf9Ov02f0bPd3H4acDjU4A3dgP/GaqDFf/vovMW4NFJ+vWbud55Zzzkff2w6Rzy3+cRZ+nXTVsDj/8NXPKq7zl050/ANR/5rnfafXrd9EZAWn2gVQfggv/qeUecrf8f/S+9zGs79Pu2FwEtjgPOfwZoYuqCNONC3/PD49Wtev1zOgL/ekcfcwA46Eh9DADgyMuB+0fr14eeDNz2LXBuJ+82np6vt1EvsWFQ3ezrK1IN9nM9ll49BlO0t6iXDtTEcaiPlzbqse1+usV6/sHH6Avr1xf6Tr9nBND2QuBdo/+p13YC//QEJncL3MbxNwArx3j391Hb8NJ650/A2nHAQuOp/d6RwFGXA3/8T78/7xmdhsaHAEU7gSMvAzLOd95mh4eBeqZLdLtLgA1TvO/vHQG0OQ+Qet7xGo+5BlhjcVM9uyNwzYf69chHA+e7Geam9dn6hr9yjB4Dcr+DrHvG7+I3pEzL0/Vnmfedvol7HHSk73L19wGeM/UvdvYTwAFtgHOe0O8XDgC2mTqCfdFURaRpa+CMB/TrO38ITNNlbwAtz9CfM62BntbmfKBhY+Cugb7LnnYv8KsRIDVq6vu5upjeH32l/vP5DA2AU+/2nZZxAbBogM4VO/Mx4LCT9WdSCmi0PzDlfX0uAzoYPqejfv3UHKDh/kC9NGPei8D8/sAhJ+n3Uk8HYgBwrE2w2Kgp0OoM/dqzHQBBu0jyBNf7HKD/t78FOPxU/QcAq8YAK34FjrpCZ1r88ZKe/u+Bepq/y94ATvmPPubm8yN9Hx0kNj/GOh0PGsH4Gzk6zfO+B7ZYdFB8/Wf6u8i4UJ+TL23UuWX1GwAvrNbfY4N9gZNuB67oApQXOn/+OGIQZqVB4yBdVHhPYE+OVvu3xsU4UURR9NhkoN+l7pc/+l/Av7oBvc+0nv/oX8Ah7YFuhwTOu7EXMLpT4HQnrc4E9j1QByvnPwtsmQ1k+uUOdLLpKLndJfoJ3CO9kc59yZqnAyWz2/sD7xykX+97oPX2znkKmGXKHTm7IzC7D/DcUqCHcUM8/gbghBuBgu163D3P0DuP/qUDryaHAifdocdO7HepDpbsHHc9sOo3BLShvmuw7n/rtm+Bxi2805+eD+Qavczf/h2QnwmsnwT82VnflDZNA44yBQuvbgdGPApc/obuET1vC1C8yz49z6/0fp60dKD9rd554jIXoWET7/pWXtnqG3ACwDV+uYCe4Om+UUDbi31zMP671Hq7t38PDH8IOPEWb9C3abq7NAOApOnvsN3F+r3ndyNpzuuZnXIXsF9zHZSbg1YR4OKXgWOvAQ47JTB4bX6s7/vL39B/mXOM9W2++yvfAarLgyTKpn1+q7OArDne4LJRU+DlzTqIMbulL3D5WzqwAXROXFq6/oxW6qUFfp7afZ7h+/6464C5/XyLGT2/57Mf13/+9j0QuOA53/ceTQ71XTYt3f63ngAMwqw02A8oyQ2YbPXswJwwShn16nsHUG55emjr3jPM970nV6DNBcAtfYBmR+jpzVrrm/olrwBNW+kckzbnAQVb9Y342GuAn+8HdvjdNJu2BvJN4wp6btoAcOXb+v+K0Xr7jVvo3CQ7djenuwYBVaXA+630+/Of817czQFAmwuAzcaN+pS7gavf8w3CrnpfP02n72Pap3FTa3exDsKaGvto1cG7zGEn6//PLAIOyHBIv+kG2dJ0g0prADwwJnD5A9vpP0DfFJsfq//OeQL48ebAbTbYF/jPIP26hdGB6zi/elqALt5qdRbQxCKw9mjWxn6emSeIsxtTsmFjd9sB9Pfutgip/a06AHMa8NdJvXre3BhA/27e3IOQOtsWAY62yB3yzDvslNDS5Mm1tDvPz3/GerqVlh183z86IXCZfZoFTktv5JuTaZcTFw5PoO4fPNVRDMKsNNgPyMt0tagIgzBKEW/m6IeLwh1R2p5RodV8Q3zOJkfiks7e149N0R10vt/SO+2/S/WNuqtxwbfq3f2EG72v9zfVG7mpN/DPF0D2qsD0mKXVB+qZbvZXdtX/X8ny5rJ0zgTqN9JB45KfTXWlBIDSdbDq1QPqGQHYDZ8D002Vgc97BjjxVm9QauVAmyLPI84GctbrHLOVY4BDT9I3/RfX6vSkhXG5vqEHMPl9nZvjxPP5r/lI73vTNJ374RSAAfpG/PxKoPGhwNsHOCzouU4moIdE/wCs5Rm6KDJYfTtAHwt/Ca5DhPoN9f/GQY6NE0/R3VXv6fftb/PNLU0kzwOR55ys4xiEWWnQGKh0N2zRc/VH4puqa1GEfUPaBSvmU1Tt38rdOIL7HujNin/gN+CH60PbT/vbgAOMICLcm1FafSCtsbeo7Ja+err5ZukJkNw47V79Z66vY0dEj1V4ycveaeZct0ZGscuBbX2XeW27DpAObe+7vTMe1H/m7TsFYHaeXQw0PcJbb+eJf4AWJ+jXjVv4Fj+G4oAM4Navgy930Yv6/xkP6QrNk94GWp/jbh/mgNhOsJwwN06+E8ic7ZyL6Eb6PsBDQRpFdJwBLBuhiz2TzeGn6Qr/x98YfFl/V72n6+alN/LN4bv9u+ilL1IXvwRAJW/L0ihjEGYlfd+AinuCGhxVb5vx2tez9UeiW5VvC5izZSW6pvfHTRXvoBx7R0RPUdT6PF2R2r/SuZ16IdRR8Wh7oW7xlp8JjHjEd97NXwE564Bpfq3SonmxfvA3YNcq67oidnWHnPx7oLdiPKBbmO1cHrjc/9aGvu30fQIDsGh4crbO5fIPLA45Mfr7ctJgP+CKt/Trg48C7vwx9G1c9ymw7Bfrefsa9e72ccotC6LDI8DpD4aXIxiqQ9vH5nhHS7gByrlP6b9k1rAJ8K93E52KuGEXFVbS9wEqS30mPZ02Ck/WH225eH0Ejh35dvr3OK5eJtqIQ90VG8+mjQAH+K4D7LoDcOP6z7x1iNxoGyRYO9GmhWHrs3WLIX9NDgMufxP433pdMTdWWhwXWAfqihBywcyOvx64e4hp28dbf7Zk0uI4+8rMqebMR4GHxlrPO+9p6+4aQiESnwCMKI4YhFlJ30e3LqnxNts+vV4YT89h+m/6CDyYxtaWKeuGz3VR27FX63o9QGAFWH/XfuL73tNk/cYvApdtZ2rVeOs3ujXddZ95p91h0UT/xl7B023mCYz2O9i6Ym6sPDbJt5UT1Q1p6Tr3JtH1qYiSDB8rrNRvpP9XlXmb4Jrcmha8iXOkdb66pIdRHECJ1zlT1yvy1BPqOB1Y9Ttw5KVAN6O1zzMLgZGPA1k2XSwA3puVsjiPGjbWQVveFuDkO/Sf2Qk3eV+/kgXkb3Xf+uyyN4BVY3UXEUREFFMMwqx4mp7bBGGhUKYaZO/V74dDZQ8ernwpom1SEmu0f+C0467V/6/oCiweorsTuH+07nhyx1LdaeeWWYHrAUDTlhYTBTjrMfs0iOi+lNLSdf2KFscFT/dRVwDrJuqepT2VtImIKKYYhFnx5IT51QsLhVUboLvrG8N3VCakoTYl2gXPeYvaGuyrgy9Pr+nZq73LmYfpOOoK3Yoxd4M+H/98WXdGGsyRIXTECugWV+sm7jV98xARJQMGYVbMOWERsiuUZBcVddCZDrlTwbS/TTcd3zwjsAVZ2wu9Fe/b36p737Zy7whgf6ucMxcueUUHf6E0BiAiooiwlqSVqOSEMciqM/YxDXFx2r16KBorno4PwyGmIka7IAvQ/UXZ9bV01BXeHtBDVS8t9J67iYgoIgzCrFjkhDmFVG3FvgdyxYLH1OcZkPdf7+re2T39Wt3aTw867FE/wv7gTrhZb//izsGXJSKilMcgzIpFTphTKHVJ2mIAQIZsx4my0VieOWFJ6e6f3S33glFHax9TD/ONjB7ZGzbRYyeefKfu5BIAbu4TedpEdE5bpMEcERGlBNYJs+KXE1ZUXuVqtSkN9ThzGWWDgi7L/LEEcVtnqp6nx3alxwPc9yDrjiaPvhJYPFh3FEpERBQC5oRZ8csJyy2qSGBiKGqufCdwKJJ0UxckD5p6+/bkcHV4WHf1cMaD1h1N3tATeHaJ7/iDRERELjAnzIpfTliNVYeZfg5AQSxTROE68Eggdz3Q5gLg/GcC59czjVGYcYH3dXoj4M1cQII8p9RvABzQJjppJSKivQpzwqzUb6j/71oJwF0QtrBRR8vprJgfJ6dZFBVe0VUPRA3oQYk9mptaEN7xPdD4UN2LvUfbi/X/emn2LRGJiIgixJwwK54Wb9mrAOiWkaFWs2fF/Dg7IMP3/bmdvB2j3jNcj+Xo8eBY4ON2+nWzNsCLpo5SX1jjrYBPREQUQ8wJs+K5Cbc8AwDQZ8r6kDfhCcI8OWGnyjrL+RQlx93g+94cSB19pS5e9NjvID10EBCY09XkEN9liYiIYoRBmJW0dABSWyds2PyskDfhubUrAC2RjVEN34xa8sjCge10txLndjImsBiRiIiSG4MwKyK6cr4RhKWnSdi3dAXB/lLiM60BKtFQ2OIyupQe9zDN6GMrWF2uO34ATrojsBiTiIgoTlgnzE79hkBVedirOxU3Tm/4LFpIXtjbrtM6bwE+aB3++p6xDw9pH3y5274Jfz9EREQRYk6YndI9wJy+AAAJsQbXWbISh8geADonzH9tBmAOVI3v+1P+E7iM37A+lU1aeXPATrwFeHoBcOzVMUogERFRdDAIcyPEssifG76DRlIZm7TUcdPW5fhOuPoD3/fndgIufcVn0tY7//AtfjzoyBiljoiIKHoYhLlQUVUTfKG9yEY5Aur2/pFteHfx9gAAIABJREFUpMMjFhMFTw5fj/crjdyvBo2BfZoBr2cDL28GjrseOF93O7H69kl4sOJ/OLmsH2oaHRhZWoiIiBKAQViM1cWOKC4t/RAdFx4RdLkCtY/l9JPKvgGu747lre+unbbw6E7A/02FAjCw+nLfFeo30MHYXQOBxs0BAOXNjsSUmtNQgP3q5HdMRER1H4MwCsu45TuDLnNJ+WcY0u79gOlFaISq6hosbqdHGXimohNuWXqet1K9C+G3VyUiIkoObB0ZY2ovCBdOKeuLxY0eD5iei/3RecX+6I7e+FfaPEysPh2NpAIK9XDWe3/hmcuOQkbZoNrlB83egqLyKuzn4huz64HityXbsKugHA9f0Dbsz0NERBQPDMIoYvlojKvKP0A16mFiw5cAALeWd6mdvwsHYED1lfqNUXaYW1yB6X6V8F/9Zanrfa7Y5h0w3Ty0Z6dBegxIBmFERJTsWBwZY+1k+15RZ2m1ao11qlXt+wXqmKDrlFdVh72/P5fvCHtdszu/nonuE9ZEZVtEREShYBAWTE1kLSObIz+liyPvqXgFP1Zd6Xr59TWHuV5WgvVq73o7wZf5ZtoGdBq0IGD6nI256PnXWp9p5VXVeGrQAmzOKY5K+oiIiKwwCAumeFeiU5BQM2pOwptVD2FpTYar5W+p6Ip/lX/oatmcIucRCSqrfQPgwXO2IKPz2IDpbrw7diV+W7Ld1b5mbcjF2CXbcf0X07GroCzkfc3fvAc78kNfj4iI9i4xC8JE5DsR2SUiy2zmi4j0FJF1IrJERE6PVVoiovaGwkRtavVJtvMeqNC91E+o9h6mjhXP4d4K345TC9AYa1Tw7isAYLmpXpdZFdIAAPMqMpDReSy255eisroGr4zUdcbeHrPCJ3fR6hCVVYZW1HlPv9kB0wrLqnBF979D2g4A3PbVP7j80ykhr0dERHuXWOaE9QfgNHbMNQCONv4eB/BVDNMSuowL9f/dkdUX+rRBHzREagzW/Wjli7bzcrE/MsoG4THTMn/WnIXpNfaBW7jK0QC3lHfFY5XPAwDOfX8Sjn7tj9r5P83aHLQI8rVfLGP/Wrv9cuHmbMqtfW3edEFZleN2lm3Nx06L3LLiisAgcN2uQmR0HotNu1nMSUREMQzClFJTAeQ6LHITgB+VNgtAMxFxX6Eo1jbPAABUz/8BgO5qIlxNpDQqSYqFG8vfqX1dgfTa199XXYXfq89KRJIAAAvV0SjCvrbzJ670LSbelleK2776p/b9qh3WuWz5JZX4ZtoGdHh3IqauyY4ojTU1Ctd/MR1nv/eXq+VHLNgKABg4e3NE+yUiorohkXXCWgLINL3PMqYlB2Mg6bTlIwAgxCG8fUWybqwtUdbjLHategBPVj4X59SES6Hv1A2Yv3lP7RS7os7re03Du2NXAgAWZ1oPpO6fyzZ3U65lbtffpiDum2kbUFOjMGrh1tpp7/y2Ase8/kfAev2mbbT/KHF059czcf93cxKdDCKivVZKVMwXkcdFZJ6IzMvOjiz3wrWm7uo1uZMcQdiWmuaW9b76VF2PH0wtIJ3qhiWr/v9scrVcZq43V/JTv64plFG5bPIq33Psjj4zcXWPqQHbKjeNKfru2JWYtGoXnhu6qHbat9M31o47mplbgnHLotOthlIKG7KLLOcVlVfhP31nYUtOSdDtzNmYG3FuIBERhS+RQdhWAOZIp5UxLYBSqq9SqoNSqkPz5s3jkji0Pjdqm7o3bWLUthWJiTVnoGvV/QHTP6i6G29VPQQAOLasPx6qfCneSYvIFd0DAyQAuObzaQCAXYXuWirml1airLIa380IzKnaU1KJb6f7TvfPMStz6Pfs2p7TsCFKdcEGzdmCyz79G3M3BZb2T1yxEzM35ODTCaujsq9kMGdjLn6emxl8QSKiFJPIIGw0gPuNVpLnAMhXStn3IRBvLY6P2qYur784atuKVKlq6Di/HA1QbbROTHUrtxdg/uY9OKubuzpbm3JKUOPQGvad31b4vPevJejUkLbQr4J/Xkn4jTUWbdHFqBuz7YO6utSo986vZ+KlEUsSnQwioqiLZRcVgwHMBHCsiGSJyCMi0lFEOhqL/A5gA4B1APoBeDJWaQnL8TdGb1sJvCPeUt7V5/02HIz7K17G8po2CUpRfJkr6wdzc+8ZIY306d/ZrFW9MQDoNnZFwLTxK3ZivU2RopUruv+NCz6cBMC5cDtK/d/G1NqdhZi8au/uf4+ICIjh2JFKqf8Ema8APBWr/UesqW8bgUhaRyayYv56dRjOL/scfzf8L4ZUXwoAmFpzCuZXHIPDJCfI2nufCpcdwW7LK8UPfvXQPBX+/VlVxH9puM7Z+ej2k/HBH6sw//UrfIK6VTsKUFWt0L5lUwDAul2BAZsynVc//LMJV514qGme1+acYuwuqsAZbQ4I+rni4crPdPHxpg+uS3BKUlNJRRXe+W0FXrn2eOzfKD34CkSUtFKiYn5C1KsrFzfBVjTHUeUDfDpRLcY+PmM9knb/t4GdtprtLirHxBU7cd4HkzB93e6I9/fS8CXILa5AWWUN/li6HZm5ukL91T2m4fovpluu48lYfXmE7rw2a08J3hq9HI/9OM9y+Ys/nlKbI5hfWhlxmu1szinGRR9NDmuUAXLvx5mbMXhOJr6cvD7RSSGiCDEIs1OvbtSLiiQHb2+0OCvfcf5/hy7CozbBTiTmbMrFEwMX4MKPJvtMv+ebWRi5IMtx3cpqHZUVlHkDLGVRBL5yewFO6ToeI+Y7by9c38/YhC25JY7DQyW7P5ftwLgoDQ4fK55Dq5Kk1TURhS9mxZEpz69yTTL39eUvT+2H3lU34cn6o1EC54r4FJppayPP/bKywtSvmbmYc8a6HMxY51ts7H/z3WNU8t+cU1IbkP22ZDt+WzLWZ7nVOwoB6P7NrFpyKqXw95psXHxMc5+i0U/Hr8aRzRvj5tOcu/Fbub3ASJ87ldU1SE9LrufAjgPmA0iRotLUuSQRkY3kugJSVGSrZuhXfT1OK+9bZ1o61nUTV+6sff3W6OW2y709ZgVWbS/0mXZX31m1r2dvsK/n54mrFKyHdfp10TY8+P1cDJqzxWf6F5PW+fR/Zmf2RqcBMgKF0jAhmMWZeVhk0/mux9qdhRg2L/W7ukiFxhdE5A5zwuogPiCnHnNv/06s+jCrqHLXmMDDqqgSALbm6Y5sl231FskWloVeh8xu+4HLhbxpWzf11sOMOeVgeRoE3NEhmh0xJw5/50SpjzlhLqVS3apUSitFptRioHA7zw4JnpsFAIPnZNYGUue9P8lx2fKqavSfsREvD/f247VwSx7+N2wxlm3Nd2wIYBeEjVyQhYVb3AWlbpVVuv+eEm1pVr5jeqP5616SlYfJq9ldiJX80krXDxRE4WIQ5kI9hJbTQBQvx7/5p897N0VV/reVjM5jA5YZZlTeLyyvCphXVF6FSqMrjy8nr0eXMSsw1FTMN3bpdgybn4Xrv5iOU7qOx7B5mfhlod5eTY137yu2FyCj81hc13Maik37ef7nxbjlS/f9uwWzOacYx73xp+W8vJIK3NR7Rm2rVCvjl+/Apt3FGLd8h+vB13fkl+GnmZts59fUKLz724qA/e4qLMMNvabjCaNumpNoBAg39pqBh76fG/F26potOSU4pet418OhEYWLQZgLByE/pSrmd6+6I9FJoARx1dmszan88TjvUEcvDQ/sob7KCLzavzUOjxstRD//a23Q3f1v+BL8d+hiZHQei0mmTlpfHKZHkli+raB2O246cS0qr/Kp+xZs/Mu1O33rnmXt8QY+YxZvw+LMPHw91be7B6VU7XBXj/80H5d8MgX/99N8y7p0HqMXb0OREUw+3H8u3vh1ObbnlyKj81hkdB6LWRtysHDLHvSbugErthfgm+kb8diP83yKfIvLdQ7Y5NX6M5VVVqPXpLWorK5BWWU1vpqyHtVhBl9KKewuKq99X2nRJ151jbKcHqlFmXk+AXiy25SjR6P4a2V0cgkHzt6MpUFaXpO9RZl5eHHYYsdzKDO3JKVyvD0YhLlwW9q0RCchJONqzkx0EihBhrqoeD52qbsuJPzrg3345yr0nrwOgA4S3OYKmdl179F36gZ0eHcCHurvzZXpMXENHv3Bu7yn4v1zQxbi331n1QYU9383p3aZkorAnDt/Tw1cUPvac0mvUb4jGwyYvQVndfsLq3YUwI2MzmPxzOCFeHWk7rvN02K12nTT+GbaRtzy5T/o9ru3U99VOwpxUpfxttvtO3UDPhm/Bp9PXIsvJq3Fh3+uwoCZ+nv/Z32Oz/aDGTY/Cx3enVhb5+9ki/3e2Gs6jn7tD8ftHP/Gn3jeaKjhdOP7aeYmZBeWY87GXNzcewb6THXfr1lVdU1tLuHQuVvw2YQ1tsuac2ajLVqNIF77ZRlu6OXt9++ZwQvx2i9Lo7PxGFNK4fmhi2p/+4nw4PdzMHx+FvJsqjdUVtfgwo8m45rPp+HpwQtrHxhTAYMwFzqnD0GzfRskOhmuFAcZG5LIilXDgOd/9h3ztN+0jT65ZU65QuHYXeQ7nmaPiWt9Wo3+YQSPK43WoSXl1QHFeSe8Oa42KHj/95XoNWltwHig5r7gPLPmbcr1GdlghtEVidP4nEBgXbPRi7f5bNd/aCsnfy7bgT+X+fZRVmwElb0mr8PkVTp3bFu+zqFbvq0AX03x3hhXbCuoDRrv/WZ2QDHzzPU693DNTv39lVoET8u3BQ86SyurMXLhVgDAhR9Nru3Ww2xDdhHe+HU5zuw2sbYV7JodhQHL2Xl37Epc+NFkZBeW4+URS31yXGtqFJ4auADzjAHs2781Do/8EN2++6KZZ1dsUaQ/evE2DJy9xWJpaz/N3FT7ee0szszDjzM32c7fkV+Gn8NoHZxXUomRC7f6/PajqbpG2T5MVFTVoLCsEvWM35FdEbwnCN+4uxhjFm/Duii2vI41BmEupUJG+vMVHdGh/KtEJ4NSkNUYmxNW7LRYMnG+nroBGZ3H1gYmF308OaBzW0B3lbEjvwxfG7lIff62z4HxXNTX+BVZ/ml02OppMeqv3Stjcczrf+C4N/4MGL4K8PblZjdQu1Vs1nHAfHz456ra9/kllT4tVYssbuabcrxB6LU9p+HqHjrX3jOaw4ptBRgwyzfHsrSyGg99PwehKK2oxly/IMDTeGLK6sDi4CrTTfWtX3WXK6MWbfMJWvcUV2DaWuuiZM908/dXVlmNZVvzsaekAmOXbsfjP3mDv6lrsjFq4VbU1CjH3NDqGoVNu50D66rqmpAavARz4lvjfN7/ucybE51dWO6/uKU3fl2O2/vMrH1fVV2DPcW+59ZNvWfgzV+X227zwe/n1I7QYWVnQRlOf2cC1u70DZbPem9i7eueLqofhOqijybjyFd/twywjnn9D5zUZXxtJQtzrPbTzE3I6DwW5VXVPv0s+rujzz/oNSn66Y4WBmFOTrw10SkIyWZ1CErRKNHJIIqpvBLnbjMe+G4OnhjovUEv2BLYf9gZ70zAue//hV8WbXPcltV4oFvzSlGjvF2D+Ffe/ntNNnYW6BvhdT29RVD5pd6b3wd/rPJZx6q+0Clvj/fpqNeqh/zc4grM3pDjk0vyuKnI99qe0/D6KN8cy9d+WVZb58xjxPwszHLoY+6VkUtwR5+ZPjmP5sYTO/LLMGTOFmzP10GrOcY0j8f6/M+LMH75DmR0Houbes/Afd/OsQx4PDmI5v7pXh+1DNd/Mb32u/W/aT83dBHeHbsSJ7w5Dp0GLfDJCVy3qxAvDluMx3+ch0s+mYLhfqNG7CoswyAjZ+rhH+bV5u6JCCav2mV7E1+cmYeyymqUVFThi7/WuioG6zjAWxzu9IBQmzbTMGCe1sadRy7Fae9MQNae/2/vvuOjKPM/gH++m2TTeyc9ISEkQSANAiG0QEI5QRRBPUAUsVAE2wW7yHFYz/P0zn5i92c5GxaUs3AKgihFejGAwIk0QZEWnt8fM7OZ3Z3ZkuzubJLv+/XKK7szs7PPPpnsfvcp3+c47v9os1Vd6AVZm+SWyDNn7cvYe/4S9Jq/BId+O4W5722w2qckgAaABz/eojvh5L21e5HdsMjtpdGULzrPLbP+srBClXewOcdhc1kekLuoH1i8xSpABaxnXq9sPIz7F+t3ZxuN84Q5cDCmBPF40+hiuGyV6GJ0ERjzC99pBF5qB+UPqn2/uL/OZd8F1mk7frBpWZn0jHYr08rG5i5f25UX1OOF9Ow9Yl/WE6ebME6VrBcAFmu0YG7b77gr8PrXrLueF3ywCQ3DCgFIAdpbcrCq1yV1/j+/snyYfn3zYN2xVMt3HLIECbvkgE6ZaCCEwJNLd2BMaboliFN3jyqB00srpA9rrd4JJRmveumsE6ebMPX5Vdih6lq+4bU12HnwN6THhqIqNwFXv7gK6/ceRU1BgtVEj9W7DmOyfH/6oHwAUutiYmQwTp5pwqhHv8TYsnSEmQOwcNlORIYEovHgccwZXgghALOTFSH+u/UAdh78DVnx4QCkayk5KhhhZumj+eiJ06icv8RyfPe7FqNxwQhLXUx/6Tus3n0EX25vvp4m/2sFvpozWP9J5Yp7ZcUu9MyMRZeUSPxPFegt3XoAG/cdxU2vr8UrU3vbPfy2t9djQlW25f7wvy1FaVYMFq+XrrtdB4+jW3o0Pli3D0dPnMa4iky7c/S79z/Yfeh3PDWx3LLt9VU/YlKf5vOqx6SSOtO0TPkypvUFRukCVgfFPx87iVNNZxESaEJ8hP8M2+EgzIEVjUcwzOhCMMYYoDlu5icXF0uvffALjHGy7JTaY59vR2VOLOLCg60CNGXMmy11t+1Nr6/FbSOLNI/TaqX5pvEQBnRJwvq9RzH//U34YssBbN2vP6bnheVSi9WR46ft06vYBH+fbd6PS3VScPz9P/YDzc80Wdfx0RP2XZvDH16KyOBAvHplFYDmdC4AcOe7UiuSq6ktNv90DP3v+wwb5tbhyPHTGHj/Z6jKjcfLU3tj6dafMeFp+4B+wtNfW24r3bvqLx3KmMEfDx9H9T2f4r0Z1ShJi7bsr5y/BGPL0i3l1kpwvOCDTVi35xer1ii1+z7ahEc/3Y7MuDDsOnQcG/ZZdwceP3UGV8sTYAJNJpzXMw0mU/MfZ/ch6XpRT9RZt0d/9qjSxXrmrMDfl2zFhKosy75lGi24Fzy2DPeef45VuSr+3NytuunueoQE+cdqMhyEORAYFGS57e8pKiad+pPRRWCM+dh2JxMHWuOyZ1s22P1001mHswqX77D+YL9/8Wb0yom3jCM72oJVGhTHbIImvQBMj6N3+Tve/h7J0dJwj2Mnz2D8E8scHK1t7rsbNLcX3d48bmzZjoNYv/cXzQAMsG5FdZSSQUkHM2/RBrwytcpq32s23bG2lHjJdlKL4tFPpW7UXRr59R75dCs+Wt/cGnv9a2uw48CviAoJwhX9crHfyTi4VTsPa45RBaQuzwc+3uIwSFfc9MZapMWEau4b9ciX+Gh2jdNz+AIHYQ6ccGG6u7/4/Gx3o4vAGGMQwr2s/tv2/4qut3+IsWXplscb5XEHY7QW2oxZ0molc0Zr2TEtykxWZ9QTM9Sazgq8vELqml2+4xBeWaE/E3OqRtqY5tmILhXDijoAUyhBW1RoEOa8qZ+aI7thEbqmRunun/++NJZSa8apFr2JNZt/OoYzTWcR6KS72BeML4EfW7az7UxzZYwxf+FOao4Tp6VxO0p6Dq0JCL7yykr/WOBdScPSUod+O4WNqq64BgeBj9YYQnLSEtZSrnSfb9znPE2KJ0q15kfH40Z9hYMwB95tam7CDQ3iqmKMtWE+WlJWtHL1Wl6usfWBqLLaQ0spQbSngzBPrZrgiSW7/OU648jCgeNonkGRnxhuYEkYY6xtaO2Hm798OBrJpeXHHLBN+usuJf2Kp1eacidBrSO2KVZawl8uMw7CHGhC8+yJAB99i2SMsbauRcv92Gch6LA+d7IeqjNaMz9b8vyeDogP6uQwM4K/BPs8MN9VO+wzc/uDx8+MwOKmcucHMsY6tO8dpADwJIHmgd3uUB6x86D3Zny2FeqF1o007aVvnR/EWoVbwtq4TckjOUkrY8ypliSmbYkVPxzCZ2605ASarAO24x5cMogxPZ4YV+YJHIS1cSZuvGeMucA2h5Y33faW64u7h5qlYR8tSfnAWEudFUDDG2uxw+DFvjkI03HahTXAAACRqd4tiBNniXuUGWNtly+DQ8YUFz25HK+s3I1BD3xuaDk4CNOhtUSINuNG7M89PQF7AzMANGc4ZowxxljbwEGYjv1H3RgY2bnWewXR8VjXhXimaZhlGtKgwmTNxVYvVS2I6knjyjO8cl7GGGOso+AgTMfkZ7XX7bJDBNQvAAJDvFsgtVH/wP9C8y1Pr8iMC7M6bMPcOpxns2hvYUqk7npa7ph3Xkmrz8EYY4x1ZByE6XB5YVwyAQn5wK32Sz94TefBzU+v6g7tFBOK9XfVWe6HmQPRPSMGm+6ut2yr7pyAD2f1sztlQoSUmPa+C85xqQhBHlhz6+bhha0+B2OMMdZWcRDWWvlDmm/f0rosxS4jk2V6rW06nvBg+4H6IUEBVvcjQ4LsTymfp6YgEWHmAEyqyvJIi5kjU2vyvHp+xhhjzJ9xENZaw+5tvh3k3aClGdklpnA1N6Jy3Iez+uGNq/tonBnYMLced40qwZLr+7t0zukDO2tuj9AICBljjDF/MbYs3dDn5yCstQJsWpWSfTNWSskzpxV8ZcTpB4P9C5IAAIUpUSjLirVsL0qNAgCYA5sviZCgAHw0q8buHI0LRljdv6GuC96f2Q/vTq+22l7bVXquPnnx2PrnYQ5eDWOMMeZ7943tbujzc1OFM+YI4JQbydyGzgOeH+298siE3BamLA+iTv773ox+OPr7aavjN8+TxoUFB1p3TSoevaQUG/YeRUyY2Wp7l5RIS9CV3bBItzxFnaLstv11XA+UZ8fhkl6ZICLcP7Y7bnhtjZNX5lhiZDB+Pubekh6NC0Y4LDtjzDcSIoL9ZkkexsweGNvcWsaXwA8dOa5aZHTy++49OG+gZwujhcjh4qPRoUHIsJkpGRwYoBuAAVLXYWVOnFvFeH9mPzx3WaXVtvtV3yqICH/snQWSA8ULNJp97zq32HL73O6dnD7nW9P64plL/XetzP+42IXrb56c6L91ytqPb271fTofxvRcVGl8qiUOwjRMfX5V853wJOMKoscUaBkT1pKFcj2lqFMUagoSrbZdUJaOu0eX4M1r7MebAUB+UoTV/UmqPGYPX9TTrqtz0czmLs7RPTohLSYUgwqTW1ly91w9wPUJBLmJEc4P8kNDinxbp4zZSowMNroIrINJ9fLkM1dwEGbjdNNZrPjhUPOGQD97Y5j4NhAaozs70l1zRxXjkYt7eqBgzSb0zkJpZqzmvo+v64+Zg/Px3oxqzf0AcMvwrpbbxZ2i0bhgBBoXjMBD47XLqW5NU/TLT3Cz1Pr+VO9aKo2KbO3XzBhzXVVuvNFFYDKt3ov2xPWVcbyHgzAbC79qtNz+4S/DgTD3uui8avIHQO4AAKqB+a085cSqbIw8x3k3oCddN6QAJWnRuvuvqMl163xagahWYOZtjrqIGfOG9vAh2TvXj95jOxhnLeCDC/2wJ8iDznIQ5n+U7rE7/lBkGcvkN7Kau/jiwqUB9Fo5v9oi25xkhSmRLj9W6++k1y04qSrL6v6CMd0cnjsnIRwAML5CGjvQTQ4e8xLDXS4fY97SHtaMbatd+Kzt84cucJ4daSMowGQ3LsltlVcCKx73TIF0XFubj4y4MMSGmfHOmr1efS5vW3fnULsM/G9N64sTp5t0H/PJdf1R++DnAKQPoqAAwukmx99qUqJCcPWAzli4bCcA4LyeaRhfmYmGN9cBkDL4h5oDERkciFmvrkZNQSIeHt8DADD/vG4o6iSl9Rjx8H81z+9vMTtr/6jVbeH+o/28kvbD+HYi7+mWFo0L/WANZA7CWoN0ZhsOvxfoMwN4yHs5w4IDA3BRZSYWr/dRln4v0mrNCwkKsMv0r9ZZNcCfQChKjcKaH3/RPf6zGwYgNsyM31WBXU2BNG7sixsH4vnljZhSnQuTiSCEQICJMLQ42TKj1GQiTKzKxvafpXQlZgczTb2tJWk6GGPMaH07x+PLbQeNLgYAYGhRMkx+0JTM3ZHeEuObCDs+QuqWzEkIc3Jk6zUMK0RBsv91HbjSApWdEI7oMOtgb3QPaXHzzPgw3DKiyPIPSUT4Q/dOmik9chPCce3gfDwxoQyXqmZ2OvPBtfbrdbZE44IRVhMXbPXIiHH4+DGlaS6lCdCaOHFV/zzcc77j7lvmW9z6yrT869KKVj0+Vx5u4elxrvlJrg8zcSQhwuz0mEgnK7b4y/8OB2GtYnxjbVlWHJ67rBI31nl/Meyr+udh8Wz/y4NFgO5/1Did5ubkqOAWjfkjIsweUoCMuDBU5bk2i+uaAXnommqfzNaREeek6u4b3TMN3XWCraHFzQNtI0Ps34SCTCbLYu2OlKRF2417axhWiHEVmZay/f2inggzu9YiuOnueiyfM9j5gcwrnAXnrGPSC7ISwo0fK+XIgC6tnzCQFBnigZK0HgdhreHsa0LxeT4pRk1BotVyQx2NiQgPjethtwZY44IRuOeCc7z2vHXFKXh7Wl/Mri1ATkI4bh+pPSPTnTxjrkrWGVD6B9VMV63ktyb5Mpk20HmZ3tVJI6Kct1taNJ6eVIHYMOeTQ0KCApASHaK7KLzWDLmnJ5V7JIlsarR/vNl6w9l2NCVX+U4k/ODLbVvnqTr0dGuRP12vY8v9Y2Zxx/3k9ggnF1S2fi4st/loTcq2qDQrFjkJ4S6tAaYEq8qsx9bqnhGDa2vz8ekNA9AtXTvthiszWMeVZ2DawDxc0S/Hss1R/rZ7ztcOLpUu1dToEMw9nCTGAAAW0klEQVQdVYJPrrNtuZT231hXqLHPWpg5UHP2XV1xirQUVEI4qvLi8aHG+qKAtHrCmtuH4r9/cr6KxEtTeluttlDdOQGDuyY7nEL/zvS+Ts/bUmvuGArAvVm6ti2Hw0pSLLcv9NIbfkqUawFmqIPxlQpX8+E5U5QahdtHFunutx3S0Jxux0/6h5iFp2MmP4rB/Cb7AQdh3lQ6yXPnytH+oOvIlA+WTjHNH0RvT+uLl67opfuYuHAznp1cgcf/6B/L9CitNPPHdMONdYU4J72522jkOZ3w1MRyfH2zfTdebLgZm+6ux5ieabrnDjCRwynYnZMi8N1tQzTPr/j+rjqUZcVi7ij9vGvJUSHYPn+43fYLytIRHRaE9Njm8YoPXNgdlTlx+OclpVbHmkyE7Pjm4/RaMF+c0guRwYH4eHYN8lSpDdRj7r69bQhWqF5ThM3YEOXYf15SallTFQA+vWEAAGnh+ejQICy9aSBev1p75QfAOqlo44IRWHL9AATqDPS994Lu2DC3zvL38ESCZHOgCdMGdXbp2PvGOm8Rbm2L7fBuUtCZkxiO0iz7xMWPXiz9zW3HWnbyUEvl9IGO6+LGui4eeZ62oNXBjpfiE39qCfMXPDvSFUlFwP4N9tuHznP8uID2kcOrLdEbK6XmifEEnvLR7BrsOngcATof3rUOWoJCggLw4LgeePO7PbrHRIdaX4Px4dYDWmPDHQ9wDTMH4g0HgYhCXf43r+mDbfu1F73vnRuP/7uySnNfSVo0umfEYO65xZrdlu/NqEZJWjTW3VVn2XbbyCIc+PUkuqZGwRxgwqmmswgPDkBwoBkb59Zj9e4jeGrpDmxVladrapRVGppNd9fj6InTSIoMsdpuu/6q8tiN+44iIjgQXVIisWyH9UyvDXPr0fDGWrz53R67v2mYWQoeD/x6Eod+Oy0/Ryh2H/pdsz6KUqMwqzbfehk1lav65zlcD1ZNHQgDUr68hct2gshzrRNzR5Xgk437MaU6R3N//y7SEmf/uKQUL3y9E49/vgMA0En+WytdaO62iH3VMAgmIqREh+CRT7fpHte3cwLu+2iz7v73ZlRj5N+10894yh+6d8K7fpRSyOjGIE9ef20Vt4S54sLntLf3meHeeUrOb3kZ3H0uZrilNw3UbGV64fLmlrqokCCr1QOU7q9BbgSKSgsEoP0F9q5zizG5bzbmn9cNMwa71nLSEllyS1ZpZqxL+XeW2Cx2HhIUgLen9dUNpLVWWbi8OsfSjabM6FI+xEPNAS5NnggJCnA4SDctJhS3DO+KJyeW4/nLK/Hu9Gqrhdr7q9ZPNQeacMe5xZg2MA+Xy8GIepHgmDAzOidFIkluERto83f+cFZzi9771/bD0OIUbJk3DCtvqbU8xh3PX16J+edZz2gtzYzBXaNK8GXDIPzwlxFYd+dQfHfbEADA9vnDrcqgRWllrMyJs5qFlxARjC3zhqFnZqzVdTilOgcvXdHL0iKZEReGOcPsZ/gqfzdH45mqcuMRrBr/unlePTrFhCLFpjVNPQN4x/zhWHHzYLvJCffadOmXpEVjYBfrtXAdfQEZ2CUR1w8p0Nx3UWWm5vYHL3Q+ZKI1StKkLxiuBleuBkDx4WaX82fGaIwR7ZykPas+1cXu9JYIDtIPb26q959WUQ7CXBGj8Q/V84/unSOlGxCr/Q3RJVG+XVqItV5GXBiSNd5kqh2sa5mfHIkNc+twvhvL0fxtfE9cMyDPKq2E+s11Up9s3PGHYlzcK9PllpOWWDSzn8OuTVt5Hs6U/uKUXnh2coXdJJVQF2dw6vmyYRCuqMnFkKJkJEQEo1t6NJKiQiwfdLbrlEaHBuHGukL0zIzFopnV+PNo+7Qe2QnhWHJ9f9w+sgiXV+dg7qhi3Dy8EIUp9rNozYEmJEYG44ahrn1wqD8s++Un4uJe2gGB0toYGRJkaRENMJFmGSzljg9DUlQI3prWF09NKsfAwiQ89scyq0DU1q0ji9Anz/larlqBgzK27N/XSMHQ+WXpWDRTChJzE8J1r2f1DGCTiZAk/x8qQdNLU3rhwooM/EVeMeMfcvf4M5dWYIeqa70sKxbf3FqLt6bZjz80EeEcVWD3VcMgS1B6jQtdu/e6MWmoIjtWWkZPxVEg4Sy4qu3qeLkiy3lsAuIHdMbdqoc9qMcDxsvDJnrK9dSaVYK2/XmY5fYMjW74ZXMGWd3X+n8pz4pF44IRuGaA976Muou7I12htYh3tot5nya+Axw/CJSMAT79i2fLxdoUdaLCSVVZ2PS/Y5rHhZnd+7cMCjDhJrk1aO8R7a4tX4gIDrQbf+VL8RHBml3N80aXID8pEhv3HcWHHkxuHBcmBS5RDiZeFHfSXyNVCUJvsxnE/tIVvbD959/sju8tj0ErzYzBt7uOOC3fRJslujzhsxulSRbqVqX6khTUqyYhqJ2jM1lFTe9zuaYgEZdV5+AyuUVxx/zhMJnIkjDZmY9n1+DoidNW22YMzseMwfmW++MrMpCXGIGKbGkMGxHZBYMJEcFWQd2DF3ZHwxvrMHtIAbLiw5AZF4aHL+qJTjGh6BQTagmCX76iN7qkRKL07o/tyhZoIlxYngETEc40nUVeUgQqsqUZwtX3/Ac/Hpb+j8uyYjG2LB3jKjKsBpIrz3Hvh9bdqwEm6y8ggwqTsHHfUZwVAkuuH4B7PtiE/247gAvL0/HJxp+sjm0YVmhJAv3L76ex4odDlv9n5anPL0vH9a+tASDNaP752Els//k3rLylFtkNi+xeZ9fUKIQEBWDm4HzsOPAb6ktS8PKKXXbHpcWEYo/83tUjIward9tf34GqVVWy4psnwWycW49TTWethl5MrMrC+WXpltVQFI7GeBrFq++YRFQP4G8AAgA8JYRYYLP/UgD3AVAGtTwihHjKm2XyuVxVl0vVNcDnC/SPZe2G7VgsQOqGVL6h3jXK/2a7LrysEpOeWWF0Mex8ceNAHPn9VIsfHxNmxrW1+Th7VqDJgwNQruyfh5hws1utlq7ok5eg2XKUGR+GxgUj8NAnW5wGYY66jlyZFVZfnIL4CDNe/Fr6wHx6UjlW7Tzs9HHuePiinjj8W/PfVV2q5XMG23VrKTN/Y+T/rRqN1rfHJ5Thp6MnAEitys4QESpz7NOjzKrNx0OfbNV8zJjSdIwpbf6bf3GT9uxfpSt85S21qPjzJ5rHOFuAvSg1CuN1ujYBqZ4CTIRrXlyFlY2H8chF0oQP9WW+TJWf7+7R0vuO1korA7skoYs8HOL3U00YWpSs+SVidm0B/vrJFiy8rBIEwq8nz1jtrytOgTlgHU41nbVsy4gLwxtX98F3u6yvoemD8nHzv9dZBb56QZieUHMAQmHdIjrXD99f9XgtCCOiAACPAhgC4EcAK4noHSGE7Qj3V4UQ071VDq/peq77jwmJBm7YCvz7KmD7Es+XifmFV6f2tvqmptD6lu2qkrQomFx4cGtyLTnqUvKmXCfpQjLjw5CJ1q8IYTIRTB6c9mUONGFCb8+3NjkjtYhttcutNru2ALHhzicDuVIDj00oAyB9oL76zW4M7pqMwS52YblKyTf3xqofpXKprm/bMV5q8RHB+LJhkGauvLpi7RY5d82qLcCsWuvxXp9c1193Ao0j6q465X/Y1e5AZ5R6eu0q7RYevdLGyK246bFSl3RwoMkSgAFSYDO0OAX7j52we+y1tfm4tra5NTEuUDrXwC6JyE+ORHhwINbeORRXvbAKt46wHvun/nI6oEuiXVd+19Qo3FTfBRlxYXhuWSN2Hjxutb+6c0KL0gvVFCQiwckkJKN4syWsEsA2IcQOACCiVwCMAqAxzbCNueAZwNzCD4WIJGDgzRyEecALUyrx8ordLuVA8qVeua5l0nfHezNc6/5ua7mW3rymD7I1Alamr3duPDbPq7eMh/pwVj+s2X0E4yr0W0wA4LE/luGqF1ZhjoNlr2zVFCRqtjg50zkpApEhgbjehXFsI7unYtWuwxjVvRPGPbEc3TQmYNjSS/rrTXqDy90RYCIsmzMIcQ4CAnWXfs9M68kE/7q0wmGA6qrKnDg8PqEMA7okYnTPNEswps/5+8q/JldabocEBeBZ1X1FbmIEXr6iN/KSwhETara0WgLSpBCC9GXp8uocXFCWjgO/nsQXW362tCq+MEU//RAg5X/84UBzV36//AQs3XoAF1dm6naZG82bQVgagN2q+z8C0KrB84moBsAWALOFELs1jmln3PigHDoPSNCegdPRlWXFoSzLviuhI1MGoVe1MBBcPLsGO1wcc+MJpZn2+aSYc+oB6YUpUQ4H0yvqS1JcnuHWWuHBgVh3Z53zAyG9FmUG57vTq1GY6pn1Bf3JrSO6WsaypUY7DnieubQCi9buw7BuKXapRQYWujZrujo/AXXFybhluH7SXKXV0LUlrTzXja+esawse3ZOerRdK2N0aBCiQ4PcmsDz6pW9sWHvUcv9JyeW4+3Ve1BX7NlWXE8yemD+uwBeFkKcJKIrASwEMMj2ICKaCmAqAGRmOv621yZozbbUw6kpmBuiQ4Pwn+v7I83pN1ttBcmRKHBhLA1j3qC36kRbN6VfrsvHdooJxRU1rh+vJSQoAI9PaH1Cam+3rMdHBOPtaX1b9J5T3CnKros8KTIESV2aWwpDggKcthAbzZspKvYAUCcLSkfzAHwAgBDioBDipHz3KQBlWicSQjwhhCgXQpQnJhozbgURHoykIxKB2w4CIx8Cpq203td3lueeh3VIuYkRXk1FwRjrGHyxjmf3jJgWpZFZNLMfrtPJ09aWeDMIWwkgn4hyiMgMYDyAd9QHEFGq6u65ADZ6sTye44l1HAMCgfLJQGIBkK7qO1fPphy7sPXPwxhjjLVK2xpr2pZ4rTtSCHGGiKYD+AhSiopnhBDriWgugG+EEO8AmElE5wI4A+AQgEu9VR6PSvRwtl1lVlC3sUCkHJeWTgKKR3v2eRhjjDHmN7w6JkwI8T6A92223a66PQfAHG+WwWO6DANWPeudcytJXSqmAEldpQSvGY5ngTDGGGNe1cHXdfQFowfmtx3D75fGa0X6YJprbn/nxzDGGGM+YPRC3+0Zrx3pqoAgIC4HCPJCfpp4eZ2xYJ6VxhhjjHUU3BLmD0Y8ABSNApKLjS4JY4wxxnyEW8L8gTlcGnPGGGOM+YlwOXv/iG6pTo5kLcUtYYwxxhizEx4ciDW3D0VECIcK3sI1yxhjjDFN0WHOF4VnLcfdkYwxxhhjBuAgjDHGGGPMAByEMcYYY4wZgIMwxhhjjDEDcBDGGGOMMWYADsIYY4wxxgzAQRhjjDHGmAE4CGOMMcYYMwAHYYwxxhhjBuAgjDHGGGPMACSEMLoMbiGinwHs9MFTJQA44IPn6ei4nn2D69k3uJ59g+vZd7iuWy9LCJGotaPNBWG+QkTfCCHKjS5He8f17Btcz77B9ewbXM++w3XtXdwdyRhjjDFmAA7CGGOMMcYMwEGYvieMLkAHwfXsG1zPvsH17Btcz77Dde1FPCaMMcYYY8wA3BLGGGOMMWYADsJsEFE9EW0mom1E1GB0edoiImokonVEtJqIvpG3xRHRx0S0Vf4dK28nInpYru+1RFSqOs8k+fitRDTJqNfjL4joGSLaT0Tfq7Z5rF6JqEz+u22TH0u+fYX+Q6eu7ySiPfJ1vZqIhqv2zZHrbTMR1am2a76fEFEOEX0tb3+ViMy+e3X+g4gyiOhTItpAROuJ6Fp5O1/XHuSgnvmaNpoQgn/kHwABALYDyAVgBrAGQJHR5WprPwAaASTYbLsXQIN8uwHAPfLt4QA+AEAAegP4Wt4eB2CH/DtWvh1r9GszuF5rAJQC+N4b9QpghXwsyY8dZvRr9rO6vhPADRrHFsnvFcEAcuT3kABH7ycA/g/AePn2YwCuNvo1G1TPqQBK5duRALbI9cnXtW/qma9pg3+4JcxaJYBtQogdQohTAF4BMMrgMrUXowAslG8vBDBatf05IVkOIIaIUgHUAfhYCHFICHEYwMcA6n1daH8ihPgCwCGbzR6pV3lflBBiuZDeRZ9TnavD0alrPaMAvCKEOCmE+AHANkjvJZrvJ3JLzCAAr8uPV//dOhQhxD4hxLfy7WMANgJIA1/XHuWgnvXwNe0jHIRZSwOwW3X/Rzi+UJk2AWAxEa0ioqnytmQhxD759v8AJMu39eqc/xau8VS9psm3bbcza9PlbrBnlC4yuF/X8QCOCCHO2Gzv0IgoG0BPAF+Dr2uvsalngK9pQ3EQxryhWghRCmAYgGlEVKPeKX8j5Wm5Hsb16nX/BJAHoAeAfQAeMLY47QcRRQB4A8AsIcRR9T6+rj1Ho575mjYYB2HW9gDIUN1Pl7cxNwgh9si/9wP4N6Qm7J/krgHIv/fLh+vVOf8tXOOpet0j37bdzmRCiJ+EEE1CiLMAnoR0XQPu1/VBSN1ogTbbOyQiCoIUGLwohHhT3szXtYdp1TNf08bjIMzaSgD58iwPM4DxAN4xuExtChGFE1GkchvAUADfQ6pHZcbSJABvy7ffATBRnvXUG8AvcjfERwCGElGs3EQ+VN7GrHmkXuV9R4motzy+Y6LqXAyWYEBxHqTrGpDqejwRBRNRDoB8SIPBNd9P5JadTwFcID9e/XfrUORr7WkAG4UQD6p28XXtQXr1zNe0HzB6ZoC//UCafbMF0gyQW4wuT1v7gTRrZo38s16pQ0hjBpYA2ArgEwBx8nYC8Khc3+sAlKvOdRmkAaHbAEw2+rUZ/QPgZUhdBqchjbm43JP1CqAc0pvwdgCPQE7m3BF/dOr6ebku10L6kEpVHX+LXG+boZp9p/d+Iv+frJD/Bq8BCDb6NRtUz9WQuhrXAlgt/wzn69pn9czXtME/nDGfMcYYY8wA3B3JGGOMMWYADsIYY4wxxgzAQRhjjDHGmAE4CGOMMcYYMwAHYYwxxhhjBuAgjDHWZhDRV/LvbCK62MPnvlnruRhjzFs4RQVjrM0hogEAbhBCjHTjMYGieW07rf2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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# Create slide show from fixed z images\n", "fig = plt.figure(figsize=(8, 8))\n", @@ -331,18 +49122,27 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "colab_type": "text", + "id": "Si3XjE7K6GEV" + }, "source": [ "## Questions\n", "1. Does making the generator more complex (adding layers) improve the generated images?\n", - "2. Does making the discriminator more complex or smarter force the generator to improve as well?\n", - "3. Can you get the original generator loss function (i.e. log(1 - D(G(z)))) to work? Perhaps transition to it after some number of epochs.\n", - "4. Bonus: Can you refactor the models to use convolution instead of fully connected layers?" + "I didn't experiment with adding more fully connected layers but adding convolutional layers definitely reduces the noise present in the images. Adding conv. layers to the generator without adding them to the discriminator seemed to let the generator \"overpower\" the discriminator easily. This resulted in generated images with some high frequency noise even after 30 epochs.\n", + "\n", + "2. Does making the discriminator more complex or smarter force the generator to improve as well? Yes, definitely.\n", + "3. Can you get the original generator loss function (i.e. log(1 - D(G(z)))) to work? Perhaps transition to it after some number of epochs. I didn't do this but I did do the next one.\n", + "\n", + "4. Bonus: Can you refactor the models to use convolution instead of fully connected layers? Yes." ] }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "colab_type": "text", + "id": "imZwhL396GEW" + }, "source": [ "## Links\n", "* [Link](https://pytorch.org/tutorials/beginner/dcgan_faces_tutorial.html): pytorch tutorial for DCGAN using a face dataset\n", @@ -351,6 +49151,12 @@ } ], "metadata": { + "accelerator": "GPU", + "colab": { + "collapsed_sections": [], + "name": "basic_gan.ipynb", + "provenance": [] + }, "kernelspec": { "display_name": "Python 3", "language": "python", @@ -366,9 +49172,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.7" + "version": "3.7.1" } }, "nbformat": 4, - "nbformat_minor": 4 + "nbformat_minor": 1 } diff --git a/data/mnist/MNIST/processed/test.pt b/data/mnist/MNIST/processed/test.pt new file mode 100644 index 0000000..3b53825 Binary files /dev/null and b/data/mnist/MNIST/processed/test.pt differ diff --git a/data/mnist/MNIST/processed/training.pt b/data/mnist/MNIST/processed/training.pt new file mode 100644 index 0000000..ac3a63f Binary files /dev/null and b/data/mnist/MNIST/processed/training.pt differ diff --git a/data/mnist/MNIST/raw/t10k-images-idx3-ubyte b/data/mnist/MNIST/raw/t10k-images-idx3-ubyte new file mode 100644 index 0000000..1170b2c Binary files /dev/null and b/data/mnist/MNIST/raw/t10k-images-idx3-ubyte differ diff --git a/data/mnist/MNIST/raw/t10k-images-idx3-ubyte.gz b/data/mnist/MNIST/raw/t10k-images-idx3-ubyte.gz new file mode 100644 index 0000000..5ace8ea Binary files /dev/null and b/data/mnist/MNIST/raw/t10k-images-idx3-ubyte.gz differ diff --git a/data/mnist/MNIST/raw/t10k-labels-idx1-ubyte b/data/mnist/MNIST/raw/t10k-labels-idx1-ubyte new file mode 100644 index 0000000..d1c3a97 Binary files /dev/null and b/data/mnist/MNIST/raw/t10k-labels-idx1-ubyte differ diff --git a/data/mnist/MNIST/raw/t10k-labels-idx1-ubyte.gz b/data/mnist/MNIST/raw/t10k-labels-idx1-ubyte.gz new file mode 100644 index 0000000..a7e1415 Binary files /dev/null and b/data/mnist/MNIST/raw/t10k-labels-idx1-ubyte.gz differ diff --git a/data/mnist/MNIST/raw/train-images-idx3-ubyte b/data/mnist/MNIST/raw/train-images-idx3-ubyte new file mode 100644 index 0000000..bbce276 Binary files /dev/null and b/data/mnist/MNIST/raw/train-images-idx3-ubyte differ diff --git a/data/mnist/MNIST/raw/train-images-idx3-ubyte.gz b/data/mnist/MNIST/raw/train-images-idx3-ubyte.gz new file mode 100644 index 0000000..b50e4b6 Binary files /dev/null and b/data/mnist/MNIST/raw/train-images-idx3-ubyte.gz differ diff --git a/data/mnist/MNIST/raw/train-labels-idx1-ubyte b/data/mnist/MNIST/raw/train-labels-idx1-ubyte new file mode 100644 index 0000000..d6b4c5d Binary files /dev/null and b/data/mnist/MNIST/raw/train-labels-idx1-ubyte differ diff --git a/data/mnist/MNIST/raw/train-labels-idx1-ubyte.gz b/data/mnist/MNIST/raw/train-labels-idx1-ubyte.gz new file mode 100644 index 0000000..707a576 Binary files /dev/null and b/data/mnist/MNIST/raw/train-labels-idx1-ubyte.gz differ diff --git a/little_gan.py b/little_gan.py index e5214f2..6dab0a9 100644 --- a/little_gan.py +++ b/little_gan.py @@ -4,8 +4,9 @@ # Target distribution samples Gamma distributed -gamma = torch.distributions.Gamma(1, 3) -X_true = gamma.sample((1000, 1)) +gamma1 = torch.distributions.Gamma(1, 3) +gamma2 = torch.distributions.Gamma(3, 1) +X_true = gamma1.sample((1000, 1)) + gamma2.sample((1000, 1)) # Target distribution samples MoG distributed (Exhibits mode collapse) # X_0 = torch.randn(1000) @@ -43,7 +44,7 @@ def forward(self, z): Z_0 = torch.randn(1000, 1) # Run for 25000 iterations -n_iters = 2500 +n_iters = 25000 # Number of samples per update step m = 64