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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Building up to Denoising Diffusion Probablistic Models (DDPMs)\n",
"Sources: \n",
"- [The Annotated Diffusion Model](https://huggingface.co/blog/annotated-diffusion)\n",
"- [Understanding Variational Autoencoders](https://towardsdatascience.com/understanding-variational-autoencoders-vaes-f70510919f73)\n",
"\n",
"Feel free to read the sources above for a more in-depth explanation of the concepts covered in this notebook!"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import math\n",
"from inspect import isfunction\n",
"from functools import partial\n",
"\n",
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"from tqdm.auto import tqdm\n",
"from einops import rearrange, reduce\n",
"from einops.layers.torch import Rearrange\n",
"\n",
"import torch as t\n",
"from torch import nn, einsum\n",
"import torch.nn.functional as F"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Autoencoders"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's imagine we want to compress an arbitrary image. If we begin with a n image of size 1024 x 1024 x 3 (color channels), we can flatten that into a vector in $\\mathbb{R}^{3145728}$. \n",
"\n",
"If we can find some learned function $q: \\mathbb{R}^{3145728} \\rightarrow \\mathbb{R}^D$, where $D$ is a small integer that controls the compressed size of the image, and $p: \\mathbb{R}^D \\rightarrow \\mathbb{R}^{3145728}$, a function that reconstructs the original image given the compressed vector, we can effectively use $q$ as an *encoder* to compress our vector to a smaller number of bytes. After encoding it, we can transmit it or store it before decoding it using $p$.\n",
"\n",
"To train such a function, we're aiming to minimize reconstruction loss:\n",
"$$x \\stackrel{\\text{encoding}}{\\rightarrow}\\ \\stackrel{\\text{latent representation}}{z = q(x)}\\ \\stackrel{\\text{decoding}}{\\rightarrow} \\hat{x} = p(z)$$\n",
"$$L = ||x - \\hat{x}||^2$$"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Files already downloaded and verified\n",
"Files already downloaded and verified\n"
]
}
],
"source": [
"import torchvision\n",
"import torchvision.transforms as transforms\n",
"transform = transforms.Compose(\n",
" [transforms.ToTensor(),\n",
" transforms.Normalize((0.5, 0.5, 0.5), (0.5, 0.5, 0.5))])\n",
"\n",
"batch_size = 4\n",
"trainset = torchvision.datasets.CIFAR10(root='./data', train=True,\n",
" download=True, transform=transform)\n",
"trainloader = t.utils.data.DataLoader(trainset, batch_size=batch_size,\n",
" shuffle=True, num_workers=2)\n",
"\n",
"testset = torchvision.datasets.CIFAR10(root='./data', train=False,\n",
" download=True, transform=transform)\n",
"testloader = t.utils.data.DataLoader(testset, batch_size=batch_size,\n",
" shuffle=False, num_workers=2)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"deer car deer dog \n"
]
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"def imshow(img):\n",
" img = img / 2 + 0.5 # unnormalize\n",
" npimg = img.numpy()\n",
" plt.imshow(np.transpose(npimg, (1, 2, 0)))\n",
" plt.show()\n",
"\n",
"classes = ('plane', 'car', 'bird', 'cat',\n",
" 'deer', 'dog', 'frog', 'horse', 'ship', 'truck')\n",
"# get some random training images\n",
"dataiter = iter(trainloader)\n",
"images, labels = next(dataiter)\n",
"imshow(torchvision.utils.make_grid(images))\n",
"print(' '.join(f'{classes[labels[j]]:5s}' for j in range(batch_size)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's try training an autoencoder."
]
},
{
"cell_type": "code",
"execution_count": 82,
"metadata": {},
"outputs": [],
"source": [
"batch_size = 16\n",
"trainloader = t.utils.data.DataLoader(trainset, batch_size=batch_size,\n",
" shuffle=True, num_workers=2)\n",
"class ConvAutoEncoder(nn.Module):\n",
" def __init__(self):\n",
" super().__init__()\n",
" self.encoder = nn.Sequential(\n",
" nn.Conv2d(3, 8, kernel_size=3, stride=2, padding=1),\n",
" nn.ReLU(True),\n",
" nn.Conv2d(8, 16, kernel_size=3, stride=1, padding=1),\n",
" nn.ReLU(True),\n",
" nn.Conv2d(16, 16, kernel_size=3, stride=2, padding=1),\n",
" nn.ReLU(True),\n",
" nn.Conv2d(16, 8, kernel_size=3, stride=1, padding=1),\n",
" nn.ReLU(True),\n",
" nn.Conv2d(8, 3, kernel_size=3, stride=1, padding=1),\n",
" nn.ReLU(True),\n",
" )\n",
" self.decoder = nn.Sequential(\n",
" nn.ConvTranspose2d(3, 8, kernel_size=3, stride=2, padding = 1, output_padding=1),\n",
" nn.ReLU(True),\n",
" nn.ConvTranspose2d(8, 16, kernel_size=3, stride=1, padding = 1),\n",
" nn.ReLU(True),\n",
" nn.ConvTranspose2d(16, 16, kernel_size=3, stride=2, padding = 1, output_padding=1),\n",
" nn.ReLU(True),\n",
" nn.ConvTranspose2d(16, 8, kernel_size=3, stride=1, padding = 1),\n",
" nn.ReLU(True),\n",
" nn.ConvTranspose2d(8, 3, kernel_size=1, stride=1)\n",
" )\n",
" def forward(self, x):\n",
" x = self.encoder(x)\n",
" x = self.decoder(x)\n",
" return x\n",
" \n",
"autoencoder = ConvAutoEncoder()\n",
"\n",
"from torch import optim\n",
"criterion = nn.MSELoss()\n",
"optimizer = optim.Adam(autoencoder.parameters(), lr=0.001)"
]
},
{
"cell_type": "code",
"execution_count": 83,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
" 0%| | 0/3125 [00:00<?, ?it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Loss: 0.0385: 100%|██████████| 3125/3125 [02:09<00:00, 24.19it/s]\n",
"Loss: 0.0244: 100%|██████████| 3125/3125 [01:59<00:00, 26.06it/s]\n"
]
},
{
"data": {
"text/plain": [
"<AxesSubplot:>"
]
},
"execution_count": 83,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from tqdm import tqdm, trange\n",
"import seaborn as sns\n",
"history = []\n",
"ema_loss = None\n",
"for epoch in range(2):\n",
" with tqdm(trainloader) as pbar:\n",
" for image, label in pbar:\n",
" optimizer.zero_grad()\n",
" output = autoencoder(image)\n",
" loss = criterion(output, image)\n",
" loss.backward()\n",
" optimizer.step()\n",
"\n",
" if ema_loss is None: ema_loss = loss.item()\n",
" else: ema_loss = ema_loss * 0.99 + loss.item() * 0.01\n",
" pbar.set_description(f\"Loss: {ema_loss:.4f}\")\n",
" history.append(loss.item())\n",
"\n",
"def smooth_history(x):\n",
" return np.array([np.mean(x[i:i+10]) for i in range(len(x)-10)])\n",
"\n",
"sns.lineplot(data=smooth_history(history))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Encoding and restoring images:"
]
},
{
"cell_type": "code",
"execution_count": 84,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n",
"Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n",
"Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x19e14b06290>"
]
},
"execution_count": 84,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 720x360 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"image = next(iter(testloader))[0][1]\n",
"output = autoencoder(image.unsqueeze(0))\n",
"encoded = autoencoder.encoder(image.unsqueeze(0))\n",
"plt.figure(figsize=(10, 5))\n",
"plt.subplot(1, 3, 1)\n",
"plt.suptitle('Original, Encoded, Decoded')\n",
"plt.imshow(image.permute(1, 2, 0))\n",
"plt.subplot(1, 3, 2)\n",
"plt.imshow(encoded.reshape((8, 8, 3)).detach().numpy())\n",
"plt.subplot(1, 3, 3)\n",
"plt.imshow(output.squeeze(0).permute(1, 2, 0).detach().numpy())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Okay, we've got a pretty nice lossy compression algorithm. What does that have to do with image generation?\n",
"\n",
"The insight here is that we can sample from the latent space $\\mathbb{R}^D$. Given that $p$ maps the space of observed images to a lower-dimensional space, we can extrapolate by picking vectors $\\mathbb{R}^D$ similar to the encoded vectors we find when encoding real images. Such sampled vectors can then be fed into the decoder to create an original image that exists in the distribution of possible images but isn't identical to any image in the training data.\n",
"\n",
"Let's try it!"
]
},
{
"cell_type": "code",
"execution_count": 91,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n",
"Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x19e160c1f30>"
]
},
"execution_count": 91,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 720x360 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Add noise to the encoding vector\n",
"def add_noise(x, noise_level=0.5):\n",
" return x + noise_level * t.randn_like(x) * x\n",
"noisy_encoding = add_noise(encoded)\n",
"novel_output = autoencoder.decoder(noisy_encoding)\n",
"plt.figure(figsize=(10, 5))\n",
"plt.subplot(1, 3, 1)\n",
"plt.suptitle('Original latent vector, Novel latent vector, Novel output')\n",
"plt.imshow(encoded.reshape((8, 8, 3)).detach().numpy())\n",
"plt.subplot(1, 3, 2)\n",
"plt.imshow(noisy_encoding.reshape((8, 8, 3)).detach().numpy())\n",
"plt.subplot(1, 3, 3)\n",
"plt.imshow(novel_output.squeeze(0).permute(1, 2, 0).detach().numpy())\n"
]
},
{
"attachments": {
"image.png": {
"image/png": 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"
}
},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Variational Autoencoders\n",
"\n",
"Note: All images have been stolen from [Understanding Variational Autoencoders](https://towardsdatascience.com/understanding-variational-autoencoders-vaes-f70510919f73). Please check them out - their annotated explanation is extremely intuitive and more complete than the mathematical one below.\n",
"\n",
"![image.png](attachment:image.png)\n",
"\n",
">When thinking about it for a minute, this lack of structure among the encoded data into the latent space is pretty normal. Indeed, nothing in the task the autoencoder is trained for enforce to get such organisation: the autoencoder is solely trained to encode and decode with as few loss as possible, no matter how the latent space is organised. Thus, if we are not careful about the definition of the architecture, it is natural that, during the training, the network takes advantage of any overfitting possibilities to achieve its task as well as it can… unless we explicitly regularise it!"
]
},
{
"attachments": {
"image.png": {
"image/png": 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"
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"cell_type": "markdown",
"metadata": {},
"source": [
"We want to regularize the latent space distributions so that they **approach an isotropic normal distribution.**\n",
"\n",
"Ideal properties of this regularization:\n",
"1. Continuity: Two close points in the latent space should yield two close points in image space.\n",
"2. Completeness: All points sampled from the latent space should correspond to \"meaningful\" images.\n",
"\n",
"![image.png](attachment:image.png)\n",
"\n",
"In order to do this, we make the latent space distribution explicit by making our encoder directly generate a **distribution over the latent space**. We do this by training our encoder to predict the mean and covariance matrix of the latent space distribution given an input image. Afterwards, we sample a vector from the produced latent space and feed it back into the decoder. This adds stochasticity in the model, as multiple outputs can be generated from the same output depending on which vector is sampled from the latent space.\n",
"\n",
"We can rewrite our encoder and decoders into their probabilistic versions:\n",
"$$\\text{ideal encoder output } = Pr(z|x)$$\n",
"$$\\text{ideal decoder output } = Pr(\\hat{x}|(z|x)) = Pr(x|(z|x))$$\n",
"\n",
"Note that with an ideal decoder, we're able to reconstruct our input distribution perfectly given our latent distribution provided by the encoder.\n",
"### Now we're cooking with random variables!\n",
"\n",
"Note that this allows us to make a few nice assumptions. Our latent space, $Pr(z)$, is a standard Gaussian random variable. $Pr(x|z)$, the space of images that our decoder generates, might be a fairly complex distribution. Let's find an approximation, $q_x(z)$, as a Gaussian distribution whose mean is defined by a deterministic function $f$ of z and whose covariance matrix is a constant multiple of the identity matrix.\n",
"\n",
"$$q_x(z) = \\mathcal{N}(f(z|x), cI), c > 0, c \\in \\mathbb{R}$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Remember Bayes' theorem?\n",
"\n",
"Once again, $Pr(z)$ is the random variable defining the latent space and $Pr(x)$ is the entire space of output images given the latent space. $Pr(x|z)$ is the subspace of output images given a particular subset $z$ of the latent space, and $Pr(z|x)$ is the encoded subspace of the latent space given an input image $x$.\n",
"\n",
"$$Pr(z|x) = \\frac{Pr(x|z)\\ Pr(z)}{Pr(x)}$$\n",
"\n",
"Ultimately, we want to find $Pr(z|x)$ (the ideal encoder) and $Pr(x|z)$ (the ideal decoder). To calculate a function that can map an image to any subset of the latent space would be computationally intractable, so we limit the encoder to map an image to a Gaussian subspace of the latent space with a predicted mean and covariance matrix. \n",
"$$q_z(x) \\text{ (encoder)} = \\mathcal{N}(g(x), h(x))$$\n",
"\n",
"Altogether, we have the following:\n",
"$$q_z(x) \\text{ (practical encoder output)} = \\mathcal{N}(g(x), h(x)), g \\in G, h \\in H$$\n",
"$$q_x(z) \\text{ (practical decoder output)}= \\mathcal{N}(f(z|x), cI), c > 0, c \\in \\mathbb{R}$$\n",
"\n",
"$$Pr(z|x) = \\text{ideal encoder output }$$\n",
"$$Pr(z) \\text{ (ideal latent space)} = \\mathcal{N}(0, I)$$\n",
"$$Pr(x|(z|x)) = \\text{ideal decoder output }$$\n",
"\n",
"The three learnable functions are $\\mathbf{g(x), h(x), f(z|x)}$."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"### Constraints and optimizations\n",
"What we're doing here is **variational inference (VI)**, approximating a complex distribution by finding the closest member in a parameterized family of distribution (e.g Gaussians). The best element in the family is one that minimizes a given approximation error measurement.\n",
"\n",
"In this case, we're trying to minimize the Kullback-Liebler divergence between our approximation (our best Gaussian models for the encoder and decoder) and the target distribution. In other words, we're trying to **minimize the discrepancy between our practical models and their ideal counterparts.**\n",
"\n",
"<details>\n",
"<summary>KL Divergence Math</summary>\n",
"\n",
"The KL divergence between two random distributions, P and Q, is defined for discrete distributions as:\n",
"$$D_{KL}(P|Q) = \\sum_{x \\in P} P(x) \\log \\left(\\frac{P(x)}{Q(x)}\\right)$$\n",
"\n",
"And for continuous distributions as:\n",
"$$D_{KL}(P|Q) = \\int_{-\\infty}^\\infty P(x) \\log \\left(\\frac{P(x)}{Q(x)}\\right) dx$$\n",
"\n",
"Note that the KL divergence isn't symmetric - $D_{KL}(P|Q) = D_{KL}(Q|P)\\ \\forall\\ P, Q$ does not hold! It's important to mention which distribution is considered to be diverging from the other (e.g the divergence of P from Q).\n",
"</details>\n",
"\n",
"Let's focus on the encoder:\n",
"$$q_z(x) = \\mathcal{N}(g(x), h(x)), g \\in G, h \\in H$$\n",
"\n",
"We want to minimize the KL divergence between our encoder and the optimal one. In particular, we want to find $g^*, h^*$ such that:\n",
"\n",
"$$(g^*, h^*) = \\underset{(g, h)\\ \\in\\ G\\times H}{\\text{argmin}} KL[q_z(x), Pr(z|x)]$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$ = \\underset{(g, h)\\ \\in\\ G\\times H}{\\text{argmin}} \\mathbb{E}[\\log q_z(x) - \\log Pr(z|x)]$$\n",
"Using expected value:\n",
"\n",
"<details>\n",
"<summary>Full derivation (expand if you like math)</summary>\n",
"\n",
"$$ = \\underset{(g, h)\\ \\in\\ G\\times H}{\\text{argmin}} \\mathbb{E}\\left[\\log q_z(x) - \\log \\frac{Pr(z) Pr(x|z)}{Pr(x)}\\right]$$\n",
"$$ = \\underset{(g, h)\\ \\in\\ G\\times H}{\\text{argmin}} \\mathbb{E}\\left[\\log q_z(x) - (\\log Pr(z) + \\log Pr(x|z) - \\log Pr(x))\\right]$$\n",
"$$ = \\underset{(g, h)\\ \\in\\ G\\times H}{\\text{argmin}} \\mathbb{E}\\left[\\log q_z(x) - \\log Pr(z) - \\log Pr(x|z) + \\log Pr(x)\\right]$$\n",
"\n",
"$$ = \\underset{(g, h)\\ \\in\\ G\\times H}{\\text{argmin}} \\mathbb{E}\\left[\\log q_z(x) - \\log Pr(z)\\right] + \\mathbb{E}\\left[- \\log Pr(x|z) + \\log Pr(x)\\right]$$\n",
"\n",
"$$ = \\underset{(g, h)\\ \\in\\ G\\times H}{\\text{argmin}} KL[q_z(x), Pr(z)] + \\mathbb{E}\\left[- \\log Pr(x|z) + \\log Pr(x)\\right]$$\n",
"\n",
"$$ = \\underset{(g, h)\\ \\in\\ G\\times H}{\\text{argmax}} \\mathbb{E}\\left[\\log Pr(x|z) - \\log Pr(x)\\right] - KL[q_z(x), Pr(z)]$$\n",
"\n",
"$Pr(x)$ is a constant distribution that we can't affect, and thus can be removed from the argmax.\n",
"\n",
"$$ = \\underset{(g, h)\\ \\in\\ G\\times H}{\\text{argmax}} \\mathbb{E}\\left[\\log Pr(x|z)\\right] - KL[q_z(x), Pr(z)]$$\n",
"</details>\n",
"\n",
"$$(g^*, h^*) = \\underset{(g, h)\\ \\in\\ G\\times H}{\\text{argmax}} \\mathbb{E}\\left[-\\frac{||x-f(z)||^2}{2c}\\right] - KL[q_z(x), Pr(z)]$$\n",
"\n",
"There's a clear trade-off between error reduction and staying close to the prior distribution $Pr(z)$, the standard Gaussian distribution."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The loss function for a VAE adds a regularization term on the latent layer expressed as a Kullback-Leibler divergence between the latent distribution and a standard Gaussian.\n",
"\n",
"$$L = \\boxed{||x - \\hat{x}||^2 + \\lambda KL[\\mathcal{N}(\\mu_x, \\sigma_x), \\mathcal{N}(0, I)]}$$\n",
"\n",
"Note that the KL divergence loss is between the predicted distribution and the standard Gaussian."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### How do we implement this?\n",
"\n",
"The math gets more complex on this. A full derivation can be found [here](https://stanford.edu/~jduchi/projects/general_notes.pdf) under chapter 9. The result is the following:\n",
"\n",
"The KL Divergence between two multivariate Gaussian distributions $P$ and $Q$ is defined as $D_{KL}(P|Q) = E_P \\left[\\log \\frac{P}{Q} \\right]$.\n"
]
},
{
"attachments": {
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"
}
},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Building the neural network\n",
"\n",
"Phew, that was a lot of math to work through. We now know how to write the additional loss term that is the key to VAE regularization, though we've left out one key step: how do we backpropagate through the encoder if it outputs a distribution?\n",
"\n",
"Recall that we have three learnable functions:\n",
"$$\\mathbf{g(x), h(x), f(z)}$$\n",
"which correspond to the following:\n",
"$$q_x(z) \\text{ (encoder)} = \\mathcal{N}(\\mathbf{g(x), h(x)}), g \\in G, h \\in H$$\n",
"$$q_z(x) \\text{ (decoder)}= \\mathcal{N}(\\mathbf{f(z)}, cI), c > 0, c \\in \\mathbb{R}$$\n",
"\n",
"In practice, the fact that both the mean and the covariance matrix of the encoder distribution are dependent on the input image means that it's more efficient to share a few layers between $g(x)$ and $h(x)$.\n",
"\n",
"![image.png](attachment:image.png)\n",
"\n",
">We can set another constraint over the types of Guassian distributions the encoder is allowed to output: the distributions must be **isotropic** (the distribution of values across dimension 1 is uncorrelated with the distribution of values across dimension 2 and so forth). For a high-level intuition of why this is important, we can imagine that forcing the model to output isotropic distributions maximizes the likelihood that it will separate independent image features across orthogonal axes, since the distributions it outputs have to be \"round\"."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Okay, so a forward pass through our model looks like the following:\n",
"$$x \\rightarrow q_z(x) = \\mathcal{N}(\\mu = g(x), \\sigma^2 = h(x)) \\text{ (distribution within latent space)}$$\n",
"$$ \\hat{x} \\text{ (output distribution)} = q_x\\left(\\mathcal{N}(\\mu = g(x), \\mu^2 = h(x))\\right)$$\n",
"\n",
"The distribution that our decoder outputs is implicit. Let's make it explicit:\n",
"$$x \\rightarrow q_z(x) = \\mathcal{N}(\\mu = g(x), \\sigma^2 = h(x)) \\text{ (distribution within latent space)}$$\n",
"$$ z \\text{ (sampled latent vector)} \\sim \\mathcal{N}(\\mu = g(x), \\mu^2 = h(x))$$\n",
"$$\\hat{x} \\text{ (sampled output image)} = f(z)$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Reparameterization trick\n",
"This is a little weird. How do we backpropagate through a random sampling?\n",
"Let's look at the sampling step in detail.\n",
"\n",
"$$z \\sim \\mathcal{N}(\\mu = g(x), \\sigma^2 = h(x))$$\n",
"$$z = \\left[g(x) + h(x)\\ \\epsilon \\right]$$\n",
"$$\\epsilon \\sim \\mathcal{N}(0, I)$$\n",
"\n",
"Note that we can calculate both $\\frac{\\partial z}{\\partial g(x)}$ as well as $\\frac{\\partial z}{\\partial h(x)}$.\n",
"\n",
"$$\\frac{\\partial z}{\\partial g(x)} = 1$$\n",
"$$\\frac{\\partial z}{\\partial h(x)} = \\epsilon$$"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"batch_size = 16\n",
"trainloader = t.utils.data.DataLoader(trainset, batch_size=batch_size,\n",
" shuffle=True, num_workers=2)\n",
"class ConvVariationalAutoEncoder(nn.Module):\n",
" def __init__(self):\n",
" super().__init__()\n",
" self.encoder = nn.Sequential(\n",
" nn.Conv2d(3, 8, kernel_size=3, stride=2, padding=1),\n",
" nn.ReLU(True),\n",
" nn.Conv2d(8, 16, kernel_size=3, stride=1, padding=1),\n",
" nn.ReLU(True),\n",
" nn.Conv2d(16, 16, kernel_size=3, stride=2, padding=1),\n",
" nn.ReLU(True),\n",
" nn.Conv2d(16, 16, kernel_size=3, stride=1, padding=1),\n",
" nn.ReLU(True),\n",
" nn.Conv2d(16, 3*4, kernel_size=3, stride=1, padding=1),\n",
" nn.ReLU(True),\n",
" nn.Flatten()\n",
" )\n",
" self.g = nn.Linear(3*4*8*8, 3*4*8*8)\n",
" self.h = nn.Linear(3*4*8*8, 3*4*8*8)\n",
"\n",
" self.decoder = nn.Sequential(\n",
" nn.ConvTranspose2d(3*4, 16, kernel_size=3, stride=1, padding = 1),\n",
" nn.ReLU(True),\n",
" nn.ConvTranspose2d(16, 16, kernel_size=3, stride=2, padding = 1, output_padding=1),\n",
" nn.ReLU(True),\n",
" nn.ConvTranspose2d(16, 8, kernel_size=3, stride=2, padding = 1, output_padding=1),\n",
" nn.ReLU(True),\n",
" nn.ConvTranspose2d(8, 3, kernel_size=1, stride=1)\n",
" )\n",
" def forward(self, x, return_distribution = True):\n",
" x = self.encoder(x)\n",
" mu = self.g(x)\n",
" logvar = self.h(x)\n",
" std = t.exp(0.5 * logvar)\n",
" eps = t.randn_like(std)\n",
" x = mu + eps * std\n",
" x = x.reshape(-1, 3*4, 8, 8)\n",
" x = self.decoder(x)\n",
" return x, (mu, logvar) if return_distribution else x\n",
" \n",
"autoencoder = ConvVariationalAutoEncoder()\n",
"\n",
"from torch import optim\n",
"criterion = nn.MSELoss()\n",
"optimizer = optim.Adam(autoencoder.parameters(), lr=5e-4)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Loss: 0.0630 + 0.1831: 100%|██████████| 3125/3125 [03:35<00:00, 14.52it/s]\n",
"Loss: 0.0529 + 0.1872: 100%|██████████| 3125/3125 [03:48<00:00, 13.65it/s]\n",
"Loss: 0.0506 + 0.1939: 100%|██████████| 3125/3125 [04:17<00:00, 12.11it/s]\n",
"Loss: 0.0409 + 0.2232: 100%|██████████| 3125/3125 [03:11<00:00, 16.35it/s]\n",
"Loss: 0.0382 + 0.2233: 100%|██████████| 3125/3125 [01:56<00:00, 26.76it/s]\n"
]
},
{
"data": {
"text/plain": [
"<AxesSubplot:>"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from tqdm import tqdm, trange\n",
"import seaborn as sns\n",
"import collections, itertools\n",
"\n",
"history = []\n",
"ema_loss = collections.defaultdict(lambda: None)\n",
"for epoch in range(5):\n",
" with tqdm(trainloader) as pbar:\n",
" for image, label in pbar:\n",
" optimizer.zero_grad()\n",
" output, distribution_variables = autoencoder(image)\n",
" mu, logvar = distribution_variables\n",
"\n",
" distance_loss = criterion(output, image)\n",
" var = t.exp(logvar)\n",
" std = t.sqrt(var)\n",
" kl_loss = 1e-1 * t.mean(t.log(1/std) + (var + t.square(mu)) / 5.01325654)\n",
" loss = distance_loss + kl_loss\n",
"\n",
" loss.backward()\n",
" optimizer.step()\n",
"\n",
" if ema_loss[\"distance_loss\"] is None: ema_loss[\"distance_loss\"] = distance_loss.item()\n",
" else: ema_loss[\"distance_loss\"] = ema_loss[\"distance_loss\"] * 0.95 + distance_loss.item() * 0.05\n",
" if ema_loss[\"kl_loss\"] is None: ema_loss[\"kl_loss\"] = kl_loss.item()\n",
" else: ema_loss[\"kl_loss\"] = ema_loss[\"kl_loss\"] * 0.95 + kl_loss.item() * 0.05\n",
"\n",
" pbar.set_description(f\"Loss: {ema_loss['distance_loss']:.4f} + {1e1*ema_loss['kl_loss']:.4f}\")\n",
" history.append(loss.item())\n",
"\n",
"def smooth_history(x):\n",
" return np.array([np.mean(x[i:i+10]) for i in range(len(x)-10)])\n",
"\n",
"sns.lineplot(data=smooth_history(history))"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n",
"Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n",
"Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x1b842fbef20>"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 720x360 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"image = next(iter(testloader))[0][2]\n",
"latent_subspace = autoencoder.encoder(image.unsqueeze(0))\n",
"# Sample from latent subspace\n",
"mu = autoencoder.g(latent_subspace)\n",
"logvar = autoencoder.h(latent_subspace)\n",
"std = t.exp(0.5 * logvar)\n",
"eps = t.randn_like(std)\n",
"sample = mu + eps * std\n",
"\n",
"output = autoencoder.decoder(sample.reshape(-1, 3*4, 8, 8))\n",
"\n",
"plt.figure(figsize=(10, 5))\n",
"plt.subplot(1, 3, 1)\n",
"plt.suptitle('Original, Encoded, Decoded')\n",
"plt.imshow(image.permute(1, 2, 0))\n",
"plt.subplot(1, 3, 2)\n",
"plt.imshow(sample.reshape((16, 16, 3)).detach().numpy())\n",
"plt.subplot(1, 3, 3)\n",
"plt.imshow(output.squeeze(0).permute(1, 2, 0).detach().numpy())"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n",
"Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n",
"Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n",
"Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n"
]
},
{
"data": {
"image/png": 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+I/g6GLgIgc5hpbsHsVLXBGuQSASPNRbry4niBikF3SznFMrJEkwib9ByvEZWq2EXuJWcOQkdsDGzwCDaOlMF8YhwJBFQcGuxNHq6iFbOqeRLZ3S1bHTr+RLdv/6Z//jj75JSofSZL6rBUhUhpcTQwZ9WBmzYB1Gx7hFvQfnKM7lOiAo5j0gZNxaQdGDXpZM2PZRgHYbN4pgK6sKQM1jGVBm8RWJNNYglKYUvYeFTbGiuw7zfsS+ZOs+cqvPw1Fia43XC5j3eArCxNm/hZeAOYGnEdOiD27AWkcdpivyDCohWRCeQRJobepzIKfHg5pq83+EphS8EiBvLPIcvZIoXUK2BOldB7Q0K9VpdePzRd8OTH686oUMoOUx+KQUbRjQpuYzYOIfyW43YNWVKTkjpbJ8x1lfxIIgkKqCB8/cVMdI3sd5niXSvijD05UY8Bc2qEKzi3UjOwYJpdcEsPsU1BlZdZh7sC61VTotxOxnVHOqEL1fgjXleOJ5mrHViiAf4dKrCsfZsHBNWKy7G5I63C9KIEOnv04LkEyVnxuTsM7glTIPG0cwRXXBPJFcYvYeOgjbB2hukfNxpNWhPkhYsOcnDzHrP6zdLQMK0YT2Ms54wQVrw0yziXt/AnA7wXKR9N4R7y+I97f1EHL3mGcJ/2I6UIivYMQQ6hoAobomcMyJOQSnmnStgIEPAxy7U5ljqUYUL7k72iCTMPdyEjlCaRwbx7LB7D32XCP9waj3XIrgZ7iuzZ80mrs/LdhveqFDPzDgebkllxDw8ekthslQE8cbK5TMESRnVhuZCWibUMiJDkD4BaY4vDVVoqZFTi5DKndZzAYsJi8c6W12osRIH9VsESCAjTsE00fLYqeENZ8G1PRVKiedwqQmodUyRUfM24kvBrZHGmTKUWNNbpdU58gizYakvA0umLhogVTPcFnDv4WNQvVKeSWWi5BKAkEDOhRuEHU7yBsOAksGVqSVkgfAvUuQBXiAvVb6I/CzwrwDfcfd/rj/3PvAXgd8G/Arwb7j7xy9XfuN0vCe3iqhGbJ0UtWD1gEdxhObw/lOYfV1mUl1I7rHur5O8BV1KFKw2PK/KD+/cEWbPVILJunQWjK/8vRXN6Vi6a6LlHU0LSEOYQQOmlRV/MAtGLpDIjOMYS0xdsCWWC28TjBm3xrLMzJOGwrVh0mjNmE2Zl07caAYeS8zpNHE6TiBCKXMPcwvDEP7RMBRKyZS8AkILygKeI4dRw4KOJajxL5JXqdL9c8BPPfPczwB/xd1/F/BX+u+vJIGJr0ejtbaFLmaOdaDErGfUPBy27bkLbNw6ayYOO4M2F0cAOv3oXtvmNVvrazKbjdyw9k36jF/DR1lx/6ePCNO08xDX47yMaHdKU48sVoIqnZQaC1e/lo4LbIvYU+d8Jphuj+s/v3zt+XievHTmu/tfF5Hf9szTPw38gf7zzwF/Dfi/vuyzzJ3TUqM8SydSbuSUaC2o0aUFoqep4qKkYpgrUo201JggqcFiEZ55I/sc2HbKW2FnNY0ZjrB4ppGCbFljkMXzjcYJESUPuyjUUMObbHw+6Rx6pSFeI+JwCyyiQ6reM+smvnHvoESiyYM4YsTMH5nC7zHCO69BI/clOHqRp9deCBLp25KVUpSkjnoNH8Vbj0R6xVELHKO1FiGwxnkn+WIqdn7M3b/Vf/4N4Mde5U3uMNeGeQWZSbVRc6Z5FCI2F0QWUmpIKuRmWK89S7WhLlANaY66kztzVsVIeUHTvCl/sVBfpdEIzN/aakmgtYXF6BFH5NtpwRf0tVxrJXS4IVbRzhEIwmkCl1jL3TrSqEHDFg/nz42gbQq6zliv4bQuSs3hkS8tKoyskzS8s3pUA09ISUliCA11DeX3wbVaPURpZohFpZG0Dh1/Acq/UKi7iDzXtlwWau7HRK0NUJIF/QpxkgVu7u69uJKnTVg39dJjZrOeW19fqx7LRwtHKcx9Bz9X589hXhq1NprBcXHm5kjKDBVyWaI4pARjWAWyrpz/sDBKo7lQXTc2jXfqmMOWW/CNqi0dhWsdWdJzlKFrqbWzlVzL6qj5NvM19aRPB7a4wDDisK78NV/Rmb8aTu6L5NMq/9si8g13/5aIfAP4zvNeeFmo+eA6+93dPbmMVFNSagxDKMAdJGWSC+YJMSFVQ71BaqRaY5bpFGCMhDdb+00xX8GcWDoaijtMzZkb1Np49PiOu/sjczU+vl24PbWoFC5XaB7Iw8j1u+8x7K5ICoNC0gCKxhyIH9pr+SQhOZOGHaIpQqxeV4Mq7hl3p6li2nkDssRgUSItnUdEOryXgthZpJByLGv7feFqLAF+jTvSsENzxiSzmIS5XyomE6lFmbm3BRUJLOALInD+N8D/EfjT/fG/fpU3mRmH44nSHKSQigNKGXqIZ9A6IbG6sLTOsW3BnHFA6rIVL0pLAcXqudHDChN79/DnpXFajHle+PjDj/joo8cc58ZvfHTio7sZSGjeoakw7q94/8f/Ka4evkMS2OUAhnJW9kOiZEFTIQ87NGXyMDLqiGYIl7CzcelWoGdnXStOw6XnMoSoTk4FiDQ1qYAH/SqXAKLGXWYcM0kTeRhJZUBSwkSpHVrQVvFFcW0kdcRq1OxriqXsBfIqod6fJ5y7r4nIN4E/1ZX+8yLyx4F/DPwbr6J8B5YW1Q25NVyUJTVq6yXKLciPWCwFrafDWnNqbb2eI0y7qMZI74WdNWVSqqzsF+8I2Dw3pqUyTQv393fc3t5ymir3Tw4c7iZA0bxDNLNMR3IZWaZKSsJpEHIKetRyNVJKImdn9EzKUFC0RAi6kVKQi3Po1TVb8eRayXuOVlbzbRfAzMrOWQtVVyWu4M1aFQRGrQ2nBt0tEZayF6G+LJh7FW//jzznT3/wVRR+KWbOk0OlZGG2IzkvjNVpMlCKs/eEloXs4FIhNTQJzWdqjwhy0mjsIHJRnqzUpbIsoXzrjNlmxu3hxP1x4nA88Sv/y6/xzV//LvM08+jjx9zd3RNp3DDjKV/xresfIw8P0SEzPLhCx4Fxf8U7H3ydYX/F1W7g/Xcq41AYx8KDZSHnhOaBVPYxADTjHTuwBWyK9bjOcbhZ5wOE/7JUZ66Rlx8TFAmnciiJYRi2djXeovS6plC4iDHPBjpRVPBZaDkih6UK7Qta8z+VmMHhZJRSMZnJOTxxLQvFBFJlrK1n9wythnpnzDbvTBuhLhEj51zIufQ1v6cwRagdP6itcXt7z+3hyP39kW//xm/wa9/8FvM0cf/x9zjePYl8v2RAQXaQPkT0AbIbyR+8h17t2N+8w3tLYXdjPLwacZTrXWW/LCiNoSRS2ZN3JSa/9gIMEbyCVcObUWscbvG4Yhq1ObXzNsbuZ2SVGOi97YsggWFAn+0RZrp3ODlFOTolSKuHOdK6L5LXnNKFpXZMRY3aBKeS8sRSg7a9G6aoNXNF00Ay721YospF6Dl/FawpJikQvhXUEQnF12DZzPMSqNlpZpomlmmizjO2sR0cvPXHCnLCPUFt2DSCOjUPLKcjmguTGqdjQr2AFYYEtSZyUwaZ0NSiArcT/22ZsSVqAZdlYZ4X3BrTtDCdZswsyJ9LRYECZAmq+bA00tJ6XX7cHxEj+0zqyfq1sh+DSQLqbwbLIm9WPr8Z3N2H4tP9gkillMr+8URKys3NFdNxYhgGrm5ueFidXApDzgylRDauKJRYBz1HCCeacF1wLTgwTxPzNLEslY8/fsyHj265vz/y+MMPufvowxgcy3RxZivzdwL7CHiCTzvaxxN2u0eOB+6GwjTdUe8G/HTNbijs9jtuHz6gDIVxt+f6Zo42KblEFCCKLSfadI9b43g6cDjc01rjdDhwPB46MlkxD+WfhsRhiOXt1OBqsu4DdJ6BQNG7IItcEFpUhUPS3vAp+AcvS+289pl/mqCTkeIEtHIqE0lhWWokS8aCOZRhZGgNyzl49SoIwcDx1aHRjJgjuSItzMoyz8zTxLRU7u8PPHlyz+Fw4HB3x+n+jnP9/XZm/QiMHYA6BgLHRHVjeviQimFTQdrEsWR2+yuqQRkG9vsa51xydA+rSyi/TrT5hFvj7nDk7u5IrY3D4cjh/oBb6wyjiHjMMs2iKVVDAogSOUPGGIMsZFr4QLlE3yJRTt3/UQmmUvqCQr3PTZzwBXBYFuN4mmnmaJ4YdifmpTGUQqtRAGE1QUtRDOHB99WUkOaR8KGbwt4rJ6fMUDKtFMZxx26/pzWj1vmitdrlQFhpYZ0qvnXP6q9z3xzKakZtFanaTfqEWSO1hlmwd9sys0wnzBrHw4nD8UStjePxyPFwxNwCPpbO+qmZOmdSilLrZYkC0rzmBHCqLhRasINTCRa0aP85cggl6WcP9b5oMYM+12j3C9Nyi6pyfbtwd2yUUhiHgd04klS53mce7AP42O0r41Wkhm9kRxrWMCuBDGhSrvZ73m/GcSjcf/A1alOWeebJo0cc7u85WyEjFL8jauUH0DHAmM40EgJpXGoUiKIL5XSitkprC60unealPecP0zRzOk1YMw6nE3eHI61VDnf3HO7vYuYTXAWRCCtzCuXvdoXdUFCFMXmATuLs0sIo4Rg3Mk60aZNyhaQSkULWnil9vnzpynfORMM2N6Y5loOlRdVtKZlxGNnvKlmVthSkDZEQ8ozrSCowVosGBhAgT3cEhzJwtWsoyvXNDQ+OldNp4nB/BE7Q+2uECOFyjfGohbX33crojcSMReKpNZZlCa/bIpxb4/Kswcg5nRYOx4lmofz744lWG4f7Ow53t9E3R6LCJyDdQuoMp90uwkkVZ5+dnUZ5+lWuDBokkcUL1VP0/hkNyQOp+0b5TVf+8+Sp8iNZmzUEkOKSA9xJBe3hXi6FUkpPmyZKDjKFIOScKePCe6eGUZimiZQS++sHuLdYAqzhZJwrYADJeNrhUshXVwwPHpD2e1RzhJeaKEMh5bVXYK8mkgB3Wkd4ajOWFjn8pTpL62zeBtQLdKeTT1wFS8HkqaJbtY7UYAYlcaiVqhVHaR7VDgEuTkiLUNGbUr+6yo9Wpal7sGt+HC1YusJyJo3XjPsbylDYX91wc3MTZI+OjJk78xRhVK2Nh+//GPeHE8vSeHR35P44UZfG3f2R0zRH+zJGjGjy2Hq3Lh0G0s1DdBi6exBJE80ZHaK2QCHIFUKQNVpk705z43Ccaa1xmI37SWhNsAn81OG/Xj0MjmnFeijbpsY0jIjAfTI0GUmMvc4MunQ+QEY6sKSlxoQQoST5wrD9L176zF9JD1t3Lk0R0mlG0kAqQ8z6YWAYBlKOWZ9zJIuWsVfUmDHsrnk4LyzVuT4uHObGPFcePbrn/jDhKJXSU8DSZxVILuhuj6QSEG3rxBDNeC84idx/eK5GzHCz8A+WWmm1MS8wr8TKSsz81tGp2gs7BRDHVTHP0HouIFsAX2I0XRh0DhJr8ogUtCFNkBS4QO2EkRfJG6H89RRLUcahkJLw4OE177/7kDIMjOOO/e4KTYnd/pr99Q05Zx6+84CHDx9SSmZ/dcMwXkUL1xJLAUAezmyfPNZI6zanTI2rObDx/dWJ07RgLiyu3QJAbeFHuGasjPHYDKtLsHsl0SQ6duBn5S81KpHMjFqdNDRcKwlD1/RrGfFhD63C0iuL1pBzBfhJQdKEPgp7zoJEpSD0DCjBg5QGeHD3LWnkHF4gX7ryoywqrvXh1cBv+toDxrHwznsf8MGPfSN68O6v2F8/6M0b95RdcP7ffXDNuw9vSDkxXj1g3D9ANfDwUspWC6CdYVPX6hmHqUrMzk4wab2Gf2mtN3IwpiVq8RdT7lthMY1K3+mAtcrS4NiCmXPm5zunxUhTDDLTHTMDWhvLaaFILAHNhUYO5R8PIAe26tK+tOApDth8AxdjFqFKOKnSzo2opDlQUZVIQb+YwvdmKF96KdJQEg9uRq72Aw8fXvHeOw8ZdnvGq2v2N+9EfV0ZycMe1cSDB1c8eHAdFTTjdbQi35QfFb6lZHJOW54/+PzCYolma1/LNbNmzF3hrTVO0xxdN5owTImpKbZM1GMMgqk5Ogdvf23g5O64GrMbNCcv68xvpKakxXFJWGkwWOTya4Nl6SnAZ+7OU0WnQTa0lTzm/eZtBalRUhat34z8JiF8l7KCkENJXF8VSlbeffeGB+88ZL8buX7wgP31FWXYMez2DOMYRRtloAylU5wC3PDvO1LcYAns33qq1Vd2Dav/wJZSbURjpEZfhl36e9k+F4n+9rWb+8UbS2vUTixtnSY2t1jbawvqePVE9egq0kwwA28C26FggWKeZz4XDM6Luya9z8xTJt3PN7WLiVPTG2j2O36GAA+uCj/+4++w3xfeefddfuwbP8Zut+Pq5l0evvc+ZYiZXnZXMatLOHbR7GAIjr0mTKKdq2nCtGBpCHq4duVLL2ZY2bgaTQ/Eg9tXjU7vDg6gIVQRmgbHcKVFNTUmBirKZBPHOkVBRU+ouEdG7bBIXxYyJytUV+ZWWZrSqsc6P2uMtKVAHc8j0WFrKU5P9wVDJG6gwbn+e1W8bC06TJ3FDalvqPLX1EPJiaurgevrkZubPVfX1+x2e/ZXV4y7HbmER1/K0Mu1M6UECJJ6D/6t+2aHdL2zeaQ/Z9L73cvTZxGgzfl+r5Tp4P51WtZqVTvFOri8Kdq6odQey7e1T56Hb7E0oVo/XM/WJHiXQfFpxMy36Kd3zjJ2pTlPz/DetCHIi+tr+uPK21ABi4jjPEA+WV678hUoCfYlcvPXV4nrq5Grqx3jOEZDoZSRlIPapKWTF9c2br0i1iRSsWtn6d5r3KG3Kl/AlObtooFTHKHo3j3Tnbo4tQZyV5fanT44LU41Z6rC3RT58dM0cXt7z7ws0ZrleEdtFTPZtos5LsJhUqrBdJyY7o602qjHI35/H+v83Qnuj2Eu5jnW/HXdXmeztt6ya40CuoeSZnppzvm6VsdJiPckObcYeY689g6cCdgVeO+hMg7w7nuF9965Zn99xXh1TRn2pDwieYekXRRTat7YLOqGWGTMaAl0AU94q71FSzhj5oaJYCpEvWKnWUWz24BjiU4Z89yYa/DeT/NMreHJ352cqcKpOo+OzrTA8TTx8aMnTNNMawt1OWJeaRsFG05VuZ8TzYT57sjpyQGvFZuO+PEQyr8/wt1x7db8FNK3DQB1zuapAjUGQG5R9CcXRJTewRO64gcJqO8F8qXM/CQwFBhHYRyUYUgMJVMu++tL6uY8XWTVYK24kU7CcLPeNbFX31if+QS2btbJlAKIxed2rr3TK4RqpS0WXv4y0WoNatUM0+JxHJ3TAsfjicP9gWmaMVto7YR7ozVhrsG9n5oyLzlIFaeJejzhS4V5gmkK5U8TTKcLpcNZ+T3XsPLYMbCFTfmbFyhsPYfXgtW1/EffsHw+xOmYwXFymkMeF57cHliaM1ahyRDl2WaBVOXCEQl2DVGAHSRFSGkIK6GJYX/NsL+J5kZpQHN0sU59WxdEyOuuHtLbs+AszXhyrBznxlIrd4cT07wwLY2PbxdOU+W0wKMDTBXm48Tdx09YpgWnYjYHd771frsOS0vMrUT0cDrB/aGjeCdYTj2VOYFPnBX+CS7+ttxfvqZDwtXPk0KijPxsJYC2wJvE4YM4v1rh9uCkyWkykcdH7A4H9lcTc3XKMLKc7mE+kFLmsMDdFGzctnRyhDs5BZKnmtjfPGB//SCSLHlEeveuMgb8qyqMQ7CCksKYnaIwV+PDu4XbU2WaKx8+OXB/nDmeZr734S33h4lpgScHYVrATzPt0T0+RzYPieJQrxaz28ApmI+A4G3GbeqzcgGfiZkc/fjPKeU1s3g5Y1fnb10we2y6hhZr/411OcsWM94cls/B4RORnwD+U6Iky4E/6+7/0aet1IXuEbeIcubZmKYFxNE0ME5TKFaEOWdSSpymWCKrOct0YpkO4E5OmZwik7d00qZotDilK3/YjeRhIKlQh4E65GjGXCK0nhfjeJg5HivHuXJ3d8/dceZwmHjy+BH39yemRXhyEOZF4DTD40M08hMP8jwepnzuU59C8AIUmPthBKC/cF7XV+VUnlb+ulZfmHcK9G6c50Hj8Zz3Zc3b+X3WXqr8l26n2ityvuHuf1tEHgB/C/hXgT8GfOTuf7rvo/ueu7+wWFNFvLBlZhGF3Zh58HBHyYlhHNlf3ZBS3ggcqsqpwnHuA77OtHru67PuyTPudgy7Xa+UHToBQ0ll3dZFot17Cr7b0Hf4qs25vTD7t4cjp3lhXhZunxyYpoWlCacZapNgoB6miOfkYnbZRaBP3zwB6UqtPD3DL507eHogrFHJKk4MhhEYLt57+XzfqKFvwBjjx88fc/hbf8vdf8+z+ngV3v63gG/1n29F5BeJ3TR/mijmgFes1HU6a6ffB2kwt8b96RCUJDmg+hhENt4anOPvfg5bqfXaem1tY7K+fquw5LK12rl9KSiaRpCokmktaNSO0dqEeWxs1Hq7VOccUT7FPuGZibNNpEsFPuvQfcL7vu93eeb5BFwT1uTy74lQYern1asXVaLW7PPM6vVS7X8B+Bu8YqXuZaHm5eVs/kzzXmIMZ9P3RYuC7kL50EOCdSZOr/E8XlXWJWMtTV2VepEJZH3wi9d8TsoXkRvgvwD+bXd/Ihfh14sqdS8LNV9Uzft6ZY2b/QJFuzzeRFkHgBLmP3Emm16EfavS15DvBfJKyheRQij+P3P3/7I//cqVum+eOFtb9E/62xsnq79Q2bx+IprowXM8J6kfF+vkC+SlbVkkpvh/Avyiu//7F39aK3XhB6jUfXPk2dn+Js96ePr81szIpVm/NPX6tBV4jrzKzP/fAP8H4O+IyP/Un/uTfMpK3bfyaeRZ5/FCyZrpBYJEhKER6w8poFQIkvInyKt4+/89zx8+P3Cl7lv5QUSeebxUfo+V0xgDgDUzmCLkG0cYunofffKnf+lMnrfySfKs0p8x6Vsmr5t3XYGetRVMz+i9SVm9t/I8uVyfVy8engZzdkQ9QYF0BboP5ZYR+ibQW6iXDNLCy0LWt8p/I0Q5e/GlH3BG/hS4Ajo2ka+gdOUPQ0f2OoS2oo4yP50N/QR5q/wXyotv3hcTHTwL4lya+z5Aemt69JLE4U+97RJSed5ZvlX+80QU8hDO1JYr7wn2zf+ynjr9rIPAnvN4MRBWyDpJR3Q72SNb9IwT75W+vao3pw3uPjznW98q/3miCcoutoDxKKnalL/SpepykZr9LHKZ2FnJHEKop1NdlfNsT34+ch8AGKqh/JwS4yjk/Fb5n05WVudTz3GxErxsSfjUX8yZwnOZ/Xvm56cYPb7VCYpKXxm+IuVab6S4Beum7wa2boke4dNKnbLPweR/3xfzNCjfgARWOjMnByHV4dxvP1K5knRrtb4xmF4gb5X/PHGDuvbtufCkfMXQ+43/3J2+Sxh3HQQJPHfLk+l7wrAxeXpqV3REc+m09q9Ac4Y3Wz5BsWthxSW//rWch33CseI8gqS1l6/2vr6fQwfOtwJPDYJeg/fFmf3nfX9ffigR6/cePOO4J+92UZ6mIy4ZzYmyGxjKiys13yr/B5I+41+SJ/9ivnclcxiRzu07b4yJcT9iJGYvVC9oTlHiNrxYvW+V/5WSCDE1KZKVnHvzp9Tbv3vsulWykPWlNRtvlf+Vkdh0D82Z3dWO4eENOQ9cXw2M+0jrusTG1FmV3eDk/IbV6r2VTyPnTJ3kxLgb2V/vybmw3xfGIaqccg4Sq4hEB+43rVDzrXwK6eCNpkDtco6GzDkrWXUL60qS6BwnYfLlrdn/6osIjGOi7DLDmHnnunBzNaA5M+4KuWSyClcDlNQbNKd1E6jny1vlfwVERChF2O0Tw5i42mWud7GbWBkitBuScDNEGVoUJMtbMscPjVw2pJR1L5FevNIp6OvGS6uL8DKm/FvlfwUkfD0h6brtrEcm0QT1Grtli1JbcPkSEkjAS9b8V6Fu70TkfxCR/1lE/q6I/Dv9+d8uIn9DRH5ZRP6iiAyfx4W+lU+QXmamcpGpW/kF3qL/n0XPwOrRIGLleLwI4X2p8on6pZ90938e+N3AT4nIvwj8GeA/cPffCXwM/PHPdIFv5ftEVJCsfX+9hKTUdxI775kXdI/YgiZJ7NKha6/il8hLle8hd/3XlWDmwE8C/3l//ueIyt238nmJQBoSw3WhXA/k3UAedqQSVG0jOoX2l0ZtZhJ2gzLmaGHzsjqUV5n5iEjqBRvfAf4y8A+BR+6+7lbwTaJy9618TiLSZ/2Qosw8R4dx7Rs6Wt8rGJeN4ZcTlK3d+8uLNV/J4XP3BvxuEXkX+K+Af/YHuIinqnTfyjPS13PRbqg7Q0xUKDl6CKQcnce33bcv3h6NmmVr0OkeO2pL36vwRfIDefvu/khE/irw+4F3RST32f9bgF97znvewCrdN0AuJmYaEnmIdnNJYv1WFcqQyUPfVWTIDDlYOjEA1iGg2w6izaN7SXTgf3nq8VW8/a/3GY+I7IE/BPwi8FeBf72/7CtYqPkGyArZJyGXGABlTAyjUsbepSzHfjklyXn2I30tjw9Yo/61iUUzi32E+t6Cz5NXmfnfAH5OZKsG/Hl3//+IyN8D/oKI/LvA/0hU8r6Vr5C8tCfP5/plIt8F7oHvvbYv/XLla7wZ1/pb3f3rzz75WpUPICJ/85OaA/0wypt+ra8U6r2VH055q/wfYfkylP9nv4Tv/LLkjb7W177mv5U3R96a/R9hea3KF5GfEpFf6mngn3md3/1Fioj8hIj8VRH5ez3t/W/1598Xkb8sIv+gP773ZZ/rpbw2s99Bor9PIITfBH4B+CPu/vdeywl8gfJ59id+nfI6Z/7vBX7Z3f+Ru8/AXyD6937lxd2/5e5/u/98S8Dfa3/in+sve+PS3q9T+b8Z+NWL338o08Cfpj/xlyVvHb7PUZ7tT3z5N3d/CbXi9cvrVP6vAT9x8ftz08BfRXlRf+L+9zeuP/HrVP4vAL+rEz8H4A8T/Xu/8vJV7U/8urN6/zLwHxKtJH7W3f+91/blX6CIyL8E/HfA3+FcwP0niXX/54F/mt6f2N0/+lJO8hPkLcL3IyxvHb4fYflMyv9hRex+VORTm/0fZsTuR0U+S63ehtgBiMiK2D1X+Q8ePPCvff3rUXrU64jWnU77Z2zNgjd68roNzkXP+W24XobOF82RZN1ilIsPgahxW7/rMuTuO2+vf+ETvsv98hzOn7Kdf6+Uie8x5LKFqui5p+LF9677FPkzz1/OR8G3L5Bn700/9/hsx936zmPd6+yf80t//5e/90k0rs+i/E9C7H7fsy+65O1/8LWv8e/+mf8XOSfGTklOKuTUN0nWjOYSPHYc8bjd1YVqfRCsF9k3DnRr5555vW+elgHJQ2yntg0dRzGUFo3NvaE4iGJpxPuOFZ5HkIy7Y2aYe2xQ2c47qq1qVRVK0t4SN/rgCJB9otgRwZA0IGUXNfPROaefz5m7bX27uNjV26K9H9FLV7GgdKeCpgzrhtKduStpAE24Vep8j9U5dv5eYpNogP/tT/70P/4kBX7hVbqXvP3f8Tt/h5eSSCmh26bJiuS8bQ4gKXflnyevtkZqrRckRH2KA9biduKGpwuLoGlrj5tS6q1K1hkZn1DESOK4CCal97NJUK4gDbg5tbU+AIBmqHkfFHEuSaMSVgXcgy4dpiqKJxVHpaFtiX46KqRt3+No5rx2dF3PXbzh3gcoseevIKik7dxF0rZRckyIsHraiz/c6ZbniyvR/lSInap0ZWivVOn7xKjEzV93zT6vAGEHzTbzSp837oqY4eu+Mp6IvrTnJUU1WpHGuzSsiXg8LzGYRBImimiGXCAV3BwTiZ57HlbDxXFvrDtwb9u6CxhhKdw9SiZWU+4eVbT9DMICxN8c6y10Lxeh85IR1sqJee69Lr/fA1lLNFdZl7xevy/PLG2fIJ9F+RtiRyj9DwN/9EVvWOvM4wTPF9D/2u/Vtsqe+xy79RkRW4SvPZG9Vdxi/1rvNz5e7+dKpafWebZdNUW0bzzdZ1XvYS/9MMBMQcMMx46d8T0iURKlvq1FeKvYEjtqV6/gM4KRcwar8Z0pIyVv10R/v6+1tg5YjdcDrkLryqQtqFtsK+8e7dYvLlG8ITYjVlF3isQ8epF8auW7exWRPwH8t5wRu7/74nf1BgMqWxnx2cmTmAsWa5ziuDiII21BWuyfa94nI463Bla37VW3gbN1zBbwtA0K6aVQmyK6RdC+N41ojubFSWni2NbmwrHug9AtALT4vbU4l/lEO91jVhFvLBYdM4ecGHJGVbEy4LaL7/eGWOyr673kCgglWwUB04xLDp+i1V6Tp3jqW6usg6U7mJmK0MjE8jl8kY2X3f0vAX/pB3nPpbK/bxeQfq/du+K3/rZx01elet/fFjfc1nX26Q/q38Cz6976/NqndvWihdUixHn5ZiEuLEb/AJH1vKwvA45bje3SW8W8gcUmDNUTGWNtq9JSOLTqFV3fK2m7XvEKXvtSoLh2aycWxZii8fq16XKrsDmvFZEo0EySngkLvl9eb1sWEdDcd7oOpyXWwPNA6KvwVm0Kfu51fPExONvf1/etL3IXmq/bFvWiRnm6XH11uGCtddNwCK0hIrFxsp0HHNv7Vr1HtEGbwA2rJ1qdsFbxtmB16o5owudwbPOykGtFREmEQxi1ehnNoYoYaGvdvePWcInV2zwGpXO2dtI3e3ABV9usZ2sV23yNT5bX3JNHunOXkL7v/WVsD2xK3TxiwpnyvixA967x/vyFIr31gsVw/kK1Quo301fzDZxxAcG8zzxztFbEYnnxbftugd4IwXGahcWRtsByQNqCLRNtPmKt0pYjbbrDrTFLiuUEIQ8juezC2dQovxZVxnFgZOjOr55bqJmztkCwbvLBwrHsVk27yXfp7VgUqglTdZaXbADy+hsyiZ5BmOeZfy5maP+v+7LhA2ye4DPvuDAPodfVlzgjSZtluVgqwotfrYzhq1O5+RDr55+d0ni5Id3p9FYx60ertDoHBiEJoQWQ1M9FRfEcPfTDF0jdqY2I5HxDzvv6+GruIKzBhmHYdlWbM+zQmp13en+OvFbliwg5D32NVTDpm1Z0x2+9yf214Yj5hlr5trlB/J6SbN692daBHpHc8YJYHw1BfG1QFOGgmwWg0geC9/Xf3EJRDtabGxmCm0Y3jDbHjLcFqwtWK7TKNM0cDwdaXbDlhM0T7q2vzbHbdW5OMVBN7GVgyLljBYmUhxgUmmJNd0Lh2jW4bvCAh7Po1v0P3fyRPjb7fdbLgOAT5TUrX8llH2thi9BMu5JVL0I95yIioK+OEeuGL7DG/AGauDutam9SFKiXpAIimCRwjR41AqLhtbtVmtdtvfee4/K6zrJYPrbad+uzqs1QT2ALXk8s80xrC6fjkbsnT6jL3B2/U/gCLlg/rzI2huqklKLefj+QVcg5U8qIiFJd6e4brutuHuArBuKGmHXsQAIoS2mzArFkCkN5FuL+fnntZl+k7w+DbaZ8nfkOm0nfPHLiSRHdVn5YR3jfWQLHxNj60IjELLkw+745iGE+PaY2vn1qzCRbARe5AIYd3HoHLGvb4a3R+lFrpS6VZVki/Oq7cZkLLUIHtDZajp2zzuHnev19OURx1xXgWO9aXw70jO9wiVmsYPE29WMyvVnKd6wtrN0ohNgUyCUHmIEj2s16IEIACBabROIRgrEuB4p7CqWqI2ldMhy8xue7IBavN4cqHp/XzXfMct3MfpMNRAXp660TMx9oy4n5eI/Vifl04nD/mLrMHO/vuH38hGWZUV9IBMjjfV97ESWnjLIj9YEaIZ5iK8Io0T079e1UXYYL9ff/V3OfSwyJ1BszSqCQ0gdzjyVeqI3Xqnx3x9qEptQ3AoobY1p6HOyknngJQKM7g26o+jaq+zDAPG1JEfGVnLDakxpjyM6xuvkK1jSkTRGL0xsUd4es9iBMZAV/4hPXqG+ej9zfPaHOJ06He24ff8wyzxwP99w+fkRdFopWBl3i9qeEpoJqYiiFROQURAXXFECOJqwrXjSTNUc8rxlk3Se3Ih3TcCt4z1NED59Qc5ZGEqc5zG1dbp4vr93sB0Srm8nyzetfd4o6e7VbClPYQpv19828r6N7NfX4lsABOip3Yerd4sZZHBuiAxfr/7q02OZTrx6+m53NfA0zvywLdanbc6KNlBou4amI9PZIvU/uGdOQvrxI995li4Zkdf40xyvtqfiHFe9fvX3pg0DFO9wrvKTd/mt2+HDCnZFQkEv36rsp8zWN28EPfEU9zh2k17W8h1o96Mc0o94TOFY7UhYQrZuFK1QX3Nrqwp2XBe/J3+3GR0Rg22DpAAsRQi1LY54rSzXMPPAA6I5riiWtp3ojchDEtecHEioJ7Ymt9a5Y3yc3iXYLELtqSOo9L03Dz4BzuzU/G3jFyLKsdgtNkcB+kbz2NT95RV3AW5hllzBbfS1e43Ul1u7VKMi2j9zqjRPmWyIkUknhETuoTUiLmV5rpfYB0JYZqzPImurtjpivs056OjjjboHWWcza1pVfWyh+mhrL0rB2zimsGURNGSlr/OVgFhlIQvlJU3jpq4MnXfmSSJKD16BKzoU8DGyJq1X5sGUNpYNViUYSoVDDz9DCy1h6rx/k2dA464FphC2yerdrLO/drPkzeM5q7cMl35YGVqxe2GYZHVN/+uvP8MhmardvWC3A6vCty02c28bmkfNrVhMdM74nilJvlqgSS4v3JWxNYz/rhfdIZJ3R6z/WMxPZmi3Ket59YMXf+9X4Ra5iy108X16vw2fGNJ9IKTG44RpOjtvSlbUqP2aRWjQmlD5gpEcBm77xMJGAaYrR7hc5d3ckQUJ6ytfOdC25uL3dzAbsHPBzRBKCajf/fTvVNOzY3TwkDyPLvCOXTKsLdZkZ9leYNbIaRRsqTq1GXeKa0u4KTwOWCiZKMwdpLMuMnw6IKm0pLD0LOLRGsxWjPTde9O36ie1XRFH3LaxcB+MbtdOGuzOfjuScUbcgWYiiLRCw1e2CSHakZyhdwBmsESKESrFWqhZM84YE2jZgIImG4ulgiVtAshawq3RTHRsVxk0LZC8e19Qt5qTB2T94iLVKnU+UoWC10tpCnWfMGkUWBk4IxmluHE9B7kjjFeQB1xyUDQ9Y0peJ5oFlLClvimtmNGuhzP48nI2ZivYlRDtwJdRYXHrY+AbtqxcUqBoYiaXu8YcztoE862slINWz2b4Ad7bfAvQ4z4Ruqi9MXpi/M9snYv5Ika5x/HpsSabVpwiKDtvaI0ZsU5rDL+kDdB2N7qDWSECiIm6kpGhuEYr2wb56+NZbpbo1pEW2zxxUHVWj1oWUUge4AmQ6n2IHpkjnZfGpyOUcFzxPXrPZb5zun5BzgRYXpt2RXzcTSCnFupsyVvPFWhnKtM6ZCwqY9ZS8oj1VDELLQ4d1DWvzxn7Rvgmym0HraVxRYnvSdeYPYQXckepb63KN/zBXjCUcQBXSTlFrWGtonXEzkp3QlhCv5AS7Au5CLhnPA6bCYuDT3AfvzDoAUy6Bg2himifKMAZGMIyUEnmRlHLPDCZSj4oEC87fmjMzw3lxWu+1Kt+sMd0/oeWCWO3Kd7IENSqnjOQhwJ+aYh1fQy/N23offo2QkkdYpQl1J3XlIwm0Ywor0uUeLcwtBWJDYPciAlrwFWRJA5pTRJErBOwxMHGQJpjMNEBSJuUhrE2rpLZEqrcWZAasUooiPUeg/bwdmFtjrkH4sFZprZM2cyH1Nb8MI7kMpJS42l8xjjtUlFxGUspYStGVW3rDZnXyCkvbygJ+vrx2s99a8Nlaq91TNUyskyAF16BFbfG993RcT2SIdPPHOcT6PqZHjwRWj52OCF6SQi45GqsXvz2im5n3FVDa1pbzMhHOYj8XjUEl2gefJM6JCj2b5u1c1hDQsdZotfbogqCyrexcdyxlai6UFOFshIkxIFca+8ps3viAG0z9fHntZv94/5hcBtwrKRWyQtG+TUgumAezVjWjfbMYTStSFni4rDsGqnZM/JwUiZvbPftO87L+uNRKq0vcqBY5eFElkbrZVJyESZxHpW1M3LryB3Fcw0lcx4RLLAferY2kEfKCeOuKbT2DGWAMOK1WWq3hnNYJWybcnaU2ag3sfxwHhlIoOePvvgvtAZoyNu7JZaTl2FNPNNM0fJ3a8wiShg5WPV9eu9k/HZ6QywhupFzIKliO1GzqJIWImQPzCsqTgDai2fi6Tp+TMd6pYOusNLyDSOsACPbNUivzvIQV6fQnzEmdLp0E8IRTMIxOzaQReHmzcLHihfrUTDPVblkMTQa+A2+YTzRv4WeIIQRvr7bKvCyh/GXC5yNmjfv7E4djFJ/sx8KuZMowkNXJ6mgqYQ3cyNZYxh2aB8QVk1guVBJZu+/yAnlpoaaI/KyIfEdE/r8Xz32qFmPugZC1vsatj2aN1oKetB2+VrGcuXxnX/8CnDkH/RdfdAZNWAGTC5Qsvq9S1/Ow9vR3W+fg9599ww7aU+vF03FIf9z+vKaSZTtzcz9/R7OtL35bfzZjqY15jnzBMi/M87wdyzJT69yLRmwLadd7Favl+f5s/MXnyKvM/D8H/MfAf3rx3M8Af+WixdjPAC9tMWZm3N/fU8oScW9fx5oNwWkzoXlsBlyczvMLirr7ZSh2Sf4MJXSDHTfdI3RyN7xVaAveGrYcqacDZsZSF2pt4UnvGrkMaG2YFnLrdK6ISWPZ6Pl5t9aZNOug7Khbz++7G5j3LGCALmtGsDVj7pDxPE1M06kPyBlrFauN2/sjt49vwZ1DSZSUGIbICnprDOOIaiGXgSaNZamQKjn1/XVVu+Pnn30jZXf/673D1KX8NPAH+s8/B/y1V1N+43g8UGsFUXKutFLwjkiVjuxGqjeThljzt9SkA2iv7Hla+efqlkjZhkm3XgQRVGpbJmw+UlvjNM3MS401FGEwR7Pj6dS5byszts96izBuncbbfNoYwx177/6Fd2egreCg9aTQHPWF0zQxHw+bP+IepJD7w4nb23vcnJJib51hKIwlk3B2+z1XN+9w1esUa2uwVCRwzAj9hFD+SyL9T7vmv3KLsctCzZvrXTBdRBlqeP2qivUwxyyKFoMWvxYu+tmblfNSwAXpkvXva2zTTeI6U60ttLqwzBOnUyj//jBxmmdUM0uFMlRSLgxNyUPExxckrsgSrpblqfWepx5fdnD52FlNG5vI6eFsN3dbdZPAhZ+zZfbW8GVNN18cL99h53Nw+Nzd5QUbJ10Wan7w3rV/9OgRu3GHGQzDwDBURAiP1sc+ExVpTmpRpYoYohbmXxu0hljEtSIJEcNrxXUBCBJlnTGrLNMd8+meeZr43rd/gw8//JBpmvnOR7c8ujsgkhjGPTmP5GHk+t0PGPfXJFXGIZOTkJOyGyOmziUz7vaklENhklgTq9aLKUwEE8UxGkZl7kM04xqVN+QBch+gdcZqFG/kYcd4E89ngYxThkLZX5OvHpCGgIerhQ+TLQo7zYSpOV4DIRzESemLmfnfFpFvuPu3fpAWY60Zt7d3LEsj5SH47+6MJXU2qpJsDBKEOdU6S8UsIgF3SIa0hvSZLx0dpDW8xoz1tmxHmw8sp1tOxxOPPv4e3/n2tzkcJ/7Jtz7kux/dEqTSHSkNlN2edz64ZX/9gFIy11cjQ8kMQ+adB3uGIbMbx15G3mdhz/xZz8k7UeAZdDCnyUIjdeghRfLIAliS3CuOzDCpuDipDIz7nkRyI2Ph7Y970niFlgKigQXYSjVvmClLc1yDK4zFuv9FKH9tMfan+QFajLk7y1LJORgvKSVqTrRmqDa0e8Ii4WRZZFV6BUoHXGpFNeJz98hmBUq3hC8AWO2KrwvzNHE6nTgdj9zf3fPkyR3H08Th/sDxeERQUm5omilLRfPIslRKybRlzzAUdruRnBPVAc3sq5FSTxcLbIZvo+h0M72Z807+7K5pWH1lZQ2dOYORwEkllr4sMZxyKeROewt/aF122D77rOYgl1izON8XyEuVLyJ/nnDuviYi3wT+VFf6z4vIH6e3GHsV5TczHt8fWCxG+FIrzRolZwYbaCiaByw5ogUtC8mIC1mijCqXhbLM8XPK5J740LKgOYoj23LElhN1mfnwe9/h0ccfcnd3zz/4h7/CP/pffpVpXvj48T339ydAonys3/jy679GzkMsAQ8fMux2XD94h9/0W/5prh485J0bkLzjphFLwBiFnQFC9dvZk0ah2EyzFGwfT4iUbTkwaqdc5r4kOMPVyHAVMPaQhKJKzon9zTXDuCPnyNY5CfNE9RTYhCWKBWpoGKdaX5rZeRVv/488509/8FUUfinmzuE0gSi7aYoxr8q0LN2Rz5SlBpZeK7k23JUm1hmqdHxgQUWwlPEcCR01Q2tHz5ZDsGznidsnj/joow958uSeb33r2/yTX/0Wy1I5HCemaX7mDCOMFJQ87rh+9wOG3RU37x+x/Qfc2I7mmXcfVnJKjAjj0MIX4Zx9o2cSw/FMuAfvX3pBphNm3vpyYEShBkAuQ4SdKowlMeQU/seuUEreUs5rrYGhNE/B6OtpbDOn1mAZvUheM8LnnE4VYeG+nKhLw00Yh5E2NJzUMQCBVNG5hiVfGbpElU5O4QGXUhi6OUzFyEO4VXU+0eZQ/vFw5P7+yOFwZJpmllq3jhvfL91zxrDWqMuMqLJME9PpRD6eOA3K8TQxpDD5uzYiGvH8SvUy982fMY/cmkPk7jsK1Gzr+0DzwAVEnGYRYroLi8S1p7WjhzspGaph+dQcWZbu6CaWmnruo+MML9HHa1V+XYxvf/tAKROPPjqQU+LBgyvu707sdgM3D95hbokyjIyTsVsETYllWpimKTJmHhCpCgzDyDiOpJTYX92wu75BgOV0T52PTNPEN3/1W/z6t77F/eHIhx894nA4Yea05+40GYPC2sR095jleI85lAff4TBX2nTNVTGON3sePHxAGq/ZaQDEtSu3NaPWiPmXZszWY/0Wa7G7My/OUjvSXB3rViu3mVQjagmaSljHoQyUkilJeXg9cb0raB7YGZS6kFJmqVeR9lUld7r4i+S1Kr+Z8/jJTFI45CMqcDrNJFX2+4FqStk/YGzOYkojLuB4PHK4PYTCLOrkBNjtdux2O1LK3Dys3LRg7syne5bTgdM08dFHH/O9733E8Thxf3dgnpenkoDfLx20scoyHYAIy26fPGYmkWg8frALpC8PvFMdteACbzPZnGqB5y8Wjpe50MxpLUK0pXnk9K3XBHQYsJmRNhMSuYfwdToOkTVqGyyTygB5pKGkVDBJzBbk1HHMZH2DsnqreDd7LjAvjcNxDnOXT4xP7hmmyjAapyWSPMfDkbsn91hr0Ga8TYjAbrdnv5/JOQf7tTc+qKeJOi9MU0C4K/+OLdX7MoO4vq4nbZpT54ocF07Dwv1hRjSRdzP3xymIIz3cA4LStcwBI08T82mKfEJdqDWSOXWeWZawZr5MeJ07OrOSWyPV6y0yfEOJ6xxKYpAd4oVcDM8TowxoMppkcnVSzoikzhR6vnxpyl9aREa39wu1PiYl5erRxMdP5h7XXjHsHyKauL89cPv4SaRA6wmvBwS4urrm+uqaMgx87cfu+fpvmtGkeK+erXXheFgCEHoVyOspEeiErLbA/ccH9KC0yZC0Y3ddeTIlfLjm+vq00bZFhFZn6nwK8spp4ng8bA0TVuW3+URbjp1VdIQaP0/TwjItmPlWDKIi7IbEmJVhyNx/cMM7D/aUYceDWdldNzRlxnEi50IphevrmaGUF17hl6N8OiTuYHNjmQPePU7O1ISUM3mcyLvWlX/Pk48fU5eK1wO23CM419c33Nw8YCgDroU07IIUaj250haWuQZVr8PGGynjlWZ/lFdbg/m4wHyKnMP1ibEKko88fHLP0oycE6UUVIS2TNT5gLXG6TRxOJ565i4yiaH8IzYfY/mwI9JOWDMOh4njYcKaRf5hjsjmehDGouzGTNEgoJax4sMDFoLtMy8e1mEYEFHaMLzw6r4U5V/Kis5DJ0agWwEjqhsZU1JGDcyHqMgRR/MYRymkEvSnlFJQOtyxlvCbB6hCmhbemYVZxi0Nan0p2JotbOTNAE5qS1GgqSOWd7gOmGaawdKcaTEOkyPZSBWGGmhj6+nYUP4Sy1ozajOWFi1VbGnYHP10pNUoGjXjeFo4nfrMnxvLHCjnCe21hsb9aaEMM4Mp5Tgh+UTKGei1i0CZZl5i9b985cO5Qs9INM2IFkwLrjn4eWUgDzs0NVrNtDwgQL66Zri+YRgKZX/DsN+TU6RBcy/vag8fYhbVNbuv3fH120N0qKyNuUUpVq0rmhjtYkQSc23cHWbmuVI9cbJCc6WVwrHCcmzo0BgfV57MNRhJCVScZZmYp2jRcjqdOB6OtNaYG5xadNlkOUWdvze0HdF2D2bMx4nlNAdKtzjeIoV4KAktxlAc03sO08y4m1h0x1SNnAv7q8owjOScmZdIU79I3gjlQ7cAspYt96P3qCGlGNlbUWPQvrXs0WGHDoU8jMEM6uZ3yKmzeyL925ohww276xPVnPu5cqrB8lkWo7Wu/LxDUg5nMd/DNCPNmWcPJ1UT1QSrxrQYdydjFiOLb4UayzwzTTOtNabTzPEw0Vrj1IRj7dm7WpEabdu0LZ382ainmTYtdM4YtM5DNIGmzK2xOywIjV2D/eEUwFBuSCpB5m6BmeT6RjVk+n6J9T3W6qubB7zz3ruUcaCM14zX76Aps0wL87sT3ozaWod64eHNnocP9pSS+frX3uX9998jp8QwDJS14KNbj2bG7mbiOC00c47VmWvw81pdlR+9AlyUaV7YP77jNM2cFuPxoTJXP5NJEIbdVXTrJNO2bprO4oUJw6Qx4yw0GhZEaumIv46QOgfAFsynjtFbDzKe4gfBRa1idWV2RV05VSgLFDe0m/qUoh1Mei6WEfKlK3/YX/HOb/oxht2ed999wI//pq+z242M+4fsH35ASmtRBJuJXmo4iA+vMg/3Mdsf3ux5cHMVLU/GK8qwC3JmLsF7A1qL2WvA0qIFSqBh3Qfo/Xabh9f90aNbjqeJ+9PCtz86cn9aWKpxmirVHFKBckXtVUBTi8rg2TJHRgxn5sjkJdB8MUzXBkoFlzEqb2uwmqObWAGtBGNk5RDASh8xV2ZPHCwQvTQp0xGKNk71nl06oDkz7ubuBzxfvnTlp5zZXV8zXt9w885D3n3vHfb7kd3Vu1w/fJ9Uhos+dUKtjaWjYQ93iYf7yLNf7QauxhFNibK7poxXofwSywFbuW9vwuCJ1nv1Wm/P0poxLzOtVU7TzHh1xfE0cXuYqXrHcJiZlkq6n4NlS2L20jH21rl0xuyJmWD6Ln3mB8jbQDrYqxAKbbgM4DlMO/35beZfzl7p564sruDKqYEsUDXSv56cVBuGkt7EUA/pnbYlEii7/S4Uvhsp40gedpRxZNjtQ/lrBawIKRupz/wyKpoTkiQ6Zae8dbMyCRZrULx7LeBFnx71lRd/5vRLb/5sDiQnl4FiTqkwDIWheaeWQ4QJBl47ZWuli68FoL0DpiZIK8y6gjjB/dsO0WinKhfKN4PU6Wjbe6Mer1VYlugkNk9TFHCoUFDchOweJeovATe+FOVLzuj+GsmF3cOHvPvOA65vrnj48AH7m4eM4479zTtcP3yHXCJmld423W2la3lUq6w9aUqCnHFVLA0RLYiS0gCp996XtfFTL8Um+IHeyZaYdSpZg5wY9g3JmSaZ65safH2Bu8MRWbN2LZQfTSB6nwzvg9A1FJiHmPGNrkw5WyI8qotz0NmDl9BBfyxM/8bNcrw68wyLQ14aqpnWGjklrO2DfJIVT43xjQz1RJBc0DKQSmEYC7txYBginZlKNCUo/fe1PfsaEK7Vt6IXszlFG5ON09/5/c5at78yf9fqmbWHX6c3G2eenALqaM5kd3JukVQpjbR23OjZuVUpawPEM7XzorZAewcy0wt0+ZmZr4m1X0HMclkbB55Jeb3ZoDXbloW6LCwp4TmzlHFzFmsz8hfZePnTioiQet/9pEISSOJ9140cHSnygJYdWsa4natJbDNu4RCJae/HIP3GRTo26NPRocLbjC3hpUdLlLW9Szy4E32Oe3LFl4q04AnSlvguj3V6Vfrak8fMsF6NExajHwpI6efYoLZozdaWrVEydYnDG9QZaj+Jy+fnKfAAN/De4m0dWxU8ZRbN0KDmjLdEKsY4ZFSE5SVUni9P+UnJWSlJKRo7VpQc1ajjsA+PffeQNIxc9szDDZZj3JyUEE+b8s1iQHmr0YShm/DaIv+9+gTA1rYMB1ssdG0Gy7IRRH2JYkdvNRi8EktOXaKYIrj2kbQxV6p14kZyKANCCkXOU6/vn6AFsMMyBVzsrQM+U2Tx5in+Zg2W+7hWGnAEnwCBOcI+S5nTYsxlRlLmbjAkz4xjZlqM3e4NBHlitVvX4JjUq4VTjQYJmqKFqqbSvfG+xiIbLRtbuXJsNOatCbNF5sgkuDJbQ0cPnzni6T6omuG1V/TUOcigTjReNDYfIyZ+r7ppDbPosO3ecNNeFyi41F6e1R231ZJY7A+At24F+gxv9fz3VsMKWIvHthDKn4GufItMP+ZYWjBPvbJlgRplY8O+bpzG58mXonxrRj3NWHNOu5End0eaA+XE1TTjWijzhCz3CJVlMQ5zlDjNh0fMtx/iVmPPGgmHbz9mdmPhcjMikUgSaQ4zWFLqnL+Ii5NE8eWpOnMLdvFpXlhaoxqxSZHBaa5Mdyfq3FgO95yOtxyPJ6zOLD05Y6bU1qlV2bASgJEdjvjdfSjVTmDHbr1OMcuthTWwYwyUeoplwBv4kVC4cQ75nC3297pBxGgO3yPNmBWmEgWgL5IvR/m1Mt0dEM3cauK7N0+4PS3UdMX+vSOVzDDcIadHpFaYDo3v3TbmpXH36Hs8+eg3aHUhBY2RJMKDq4EHV0MvkS6b85d6jbuqsC/KmJSkzi4boxoN4dSUxYWlRdJkqkYzZ5otluveWLnVxunJkcPjj7m7m2jLzHxcSSaCtx4+5mNkeTThhxPc3sfM9ikU6tbN+xzK5wB+6Gv7BD4Tju2JmPGX6S9g61oW1TrUqHBCJpCBVjIHOyCfNasnIj9B1On9WD+DP+vu/5GIvA/8ReC3Ab9CbBL88Stp3z3q2hpBupgXyIGnz0ulLJ0MsZwwGsvUOB0r02LcHw7c3t2H8t1IbtGNwgbUh86nz5hE1+08LgH0qGBFqFnJ6pANz1F9e7LE4kJtzvG0MNVGa+ftybzz+aw12nyizhN1mYKQMU/Reds1cHgXaBmI9C/TdF7zV8V6C8XPc/fu536sPy/958rTIM9TN7E/rFiAddjZcTHanHl6wHy/vMrMr8D/2d3/tog8AP6WiPxl4I/xKYo1zyceo7fOJ+4ffcx8uIdlweeFYdzx7as933rwgJQSt1Pj0aGyNON4f8vh9hHWavBXPbzwj8fMfsy9hl978kfQ3ulCRIIKncK3GFOUPLvD4rHbXuxH11iahQXuPevdoiefmXF7WLj/6MAyRWGlz1MHbqQjdAK6h9OjUMY8wXTq3UCW86xufTsVnDDtq/JXhfc4/5Wlr/l4DLTZum/wfPmBt1MVkf+aqNr9j4E/cFG189fc/X/1kvdefFmPtlVJObH2msmlxHOayR2cad6CBIF3R6ttbN7VEVtbtK+fvTVq7PhAr6/4vsf4hHPIHin+Z7p4cP6ltTUhdOlgXiB2ToR5Mvbfa/AO1wHvG5eXjdHyiQcXj68qF9jBZdfttvwtd/89z776B1rze7Xuv0DsC//KxZqfLCtRslHnMG0Llw6K9tML/DtmxJsu63DKxEy+PPdVqT8wn+wHkIuB8wpf88rKF5Eb4L8A/m13f3LZRfJFxZqXVbo/mDhx4zqq95WQ1QKs5nv92S7+/gbJ1v3iBQdQiP3z/k8Xz/0S8I3+8zeAX3qFz3mRnfshO+Ti+LLPhb/5Sfp4lbYsAvwnwC+6+79/8ae1WBN+gGLNHx15dv1+8+SlDp+I/EvAfwf8Hc72608S6/7PA/80vVjT3T96yWe9uXfih0LWPoQ9Rby2qZ/vP53D5+7/PWdP5ln5gYs138oXJWudQQd8yg5WJs98/4nv+NKZPG/l85ILjkDvabt23X6euX2r/K+irFvsdTLpued/YCSiGR1LtI8HDo8/+WPeKv+rJtJh/EyQYlLuDOXYmSNpRpOSS9k2fzg856PeKv8FIhcg2SUaiF9gcK/ZhRUJNFNSNHuQHM0aVKKDx9q6JSUhpee5aiFvlf8cyQmu9zCUp0BTmkeRqXlA6HXe2FW8pBHGZ5K1fkWTsrveUXZDZyfvImVNdIUVPPbxyeeZ/xvPu8Yv7nS/2pIzPLiOARDlmuFHzQ2OM1SLxNyp52iiBv+LieoFojdxgjwoV1d79jdXQVMfd7EjiRtqc2wBr9o7hr2BZI6vgmw3XFfmEdvsUu2/r421Lmn2X/RJQew/vJp31SCoOERTau/O38Wa9Rx5q/znyEotSxf7Pq2tVIUz7Sz1TbxMLoi5n7M4/XvbOUurfWDmJJQUMb7owLZfoK4hwfPlrfJfICox0817J5Gu/LXbifW/I8Hj+MK0D1s3k+TAunumrg2q+n5C6WJTB3lxx214q/zninswrpdo20/vwRy7bq3re2+0tOXtXoPpd86Rx+aIXkYkDud99d4q/1PJUuHRLdyfghibOK/rfvGaU41B8kU5e0+JnBW+dteO9V+2tSFa0irDRZz/PHmr/OdIbfDkHpC4STtdQ6nzhFo8mi18kSHeJ4msIR2+DYDzHpzx+9qb50XyVvkvkBXQWWP4bb8kOk3DXx/Is9U2aCh3rXhSXSlq4X26xy5jekFTe568Vf4riAGzdyKZn29qJ1B/4dJLESkZhizsxsR+F02YhqxbR9Jtd80eCr4sg/5W+a8gDi/tYP1FS4R1ULIw5hT1eJpiN45uBYahkHPu7fx6w6kXyFvlfwVEJBQ/5DhKlthLZy1R13jMScka7ddN5KvRjeutvFiSwM0e3r2BcRTeuco82A+xA2gekTSQknA1JEqO3b+jo/fbUO8rL6KwH+CdKyiDcL1L7IcMmvFUIMX+hLsiDDniACN68r9I3ir/DRZl3Smrp3FVNocutpanE4SjXnHtEkYHed4ifF9REWBUGDQ8/DFnNKcoP0upO3lO1tq3XE+oFExiD56oUn6L7X8lRYCisEsxAPK6v3BKYQF63J/VKOJRniaCSYoeRet+PC+QV+Ht70TkfxCR/1lE/q6I/Dv9+d8uIn9DRH5ZRP6iiLy4HvhHVJ5KBz/n0Gdev2YN11Y9msLsp16PqKqbcs/MnQj5skJW6duqx/E8eanyiRLSn3T3fx743cBPici/CPwZ4D9w998JfAz88R/stvxoSAJGYHfxuAP2wFV/LDw9QHI/SoYyxjEMwpCVISdKXvsWFUqJxlVjKVwNiZtBuRqEXY6q5OEFVK6XKt9D7vqvpR8O/CTwn/fnfw74V3+w2/KjISubPnO+eQUYLo7MVm5xthQd1UsZUg4+Xu7kjfORSJq2XcaGJIEFpLAAaU05P0deac2X4AP9LeB3Av9v4B8Cj9x9LZ39JvCbn/PeT1mo+cMh8syxKmM17U4oYS2FWhXf+02TOncv+g7Eun7enpW+vUs0k5S1byOO9V28XiSvpHx3b8DvFpF3gf8K+Gdf9eIvt1P9US7XEujr8dNMIIhQbnWY9FxzwW6AMoT515Sgt6F3NNA7l94/OCGmtEpsTInQ3D9fkMfdH4nIXwV+P/CuiOQ++38L8Gs/0N34EZJL8sU5D38upbu0CCtLVzqWnxQ0RYzvEp7B5S6dzQVct0aS4jHzqzv2EuW/irf/9T7jEZE98IeAXwT+KvCv95e9rdL9CsqrVOn+rwmHbo1Kft7d/58i8s8AfwF4H/gfgf+9u7+w95eIfBe4B773OZz7V0G+xptxrb/V3b/+7JM/cE+ezyoi8jc/qVz4h1He9Gt9lTj/rfyQylvl/wjLl6H8P/slfOeXJW/0tb72Nf+tvDny1uz/CMtb5f8Iy2tVvoj8lIj8Uk8D/8zr/O4vUkTkJ0Tkr4rI3+tp73+rP/++iPxlEfkH/fG9L/tcL+W1rfk9OfT3CYTwm8AvAH/E3f/eazmBL1B67+FvXDanJrKcfwz46KI59Xvu/orNqb94eZ0z//cCv+zu/8jdZwId/OnX+P1fmLj7t9z9b/efbwn4+zcT1/dz/WVvXNr7dSr/NwO/evH7c9PAX2X5fJtTf7Hy1uH7HOXZ5tSXf3Pf+qu/MfI6lf9rwE9c/P5DlQYWkUIo/j9z9/+yP/3t7g+sfsF3vqzz+yR5ncr/BeB3deLnAPxhonnzV16+qs2pXyvCJyL/MvAfEunhn3X3f++1ffkXKJ9nc+rXKW/h3R9h+Uxm/4cVtPlRkU8983+YQZsfFfks5VobaAMgIito81zl3zy48fc/+CA6R3Qa8mWPm/45558vf3r2+Yv2KPQeNc++PtqqnAd3bMPaIy7rGy5vDXb77tjRzvrc6mT9gvXT+07cl2fnPHOu8DRz9vLcz73Stlde7kBzuasXF312ztI7P60v6tcpT7+ib6USv//Dv///+94n0bg+i/I/CbT5fS96w/sffMD/5f/xfyenxG4ovbFA7HUXPWeU1LdBjdu9UlozpNIHjW+7hhWNQwUGKkViUyPTgmkJXrsZZn0f3jrhLXaxtOkOW05RC5V3kKLePQ07JBVUYpNnVQWJBoeIRkl03uOaNu689zPVvo2boVRPrNu4B003umZpOr9WBWKDydh+zd1ZqrG0aK9kbgRrno4QCHjs8eetxgDTjK/bwndaeDVjmhuthu/5r/3k7//Hn6SPL7xQ87Jo470P3u8TTc785PXmCKGI1EdCn3XStw2JjpLnmrWt+7T2WS+KSuqTNHrQe+9Jp6q4G47h4rgpYkOorm9J4n0D55wLmoZ4X0q9HDpByoik4M33Wjknzn2b5Vsr7q70rVy6D+X+vnWWerdYUb3RW30qiDfwtYli2l4bU7kX8PVrW68VAY0erFEhpPbich0+m/JfCbS5LNr4rb/tt7mc20fHFuia8FzOMyTn7YatRQ3bMgHklM6bMAoxEHCSGllbTI5uOs9bHEnscZ8Ubxm3hit4LrgITsJF0FQYxh25jKFQiRamspY8a+zUadpndSqbxWhmtGZ9k8U+aJ2+EUIMgm13cIkZjDsu2xmCxw6h6tJNdjq3Vulm3PuAjV00YkDRZ34SR8RJEufxkiLdz6T8DbTpSv/DwB994TsulLl1iexm1dcBoXm7WXQrETM7bqhc3EBd/y6OqG3tR72v53FboxOluyOeo4OWCO5l610XFTASrcpTIqWME+XO0GfrWu8uiqBni5RyDGCMZus2qOt1nn9YLZ7opb/Qh+fmRzjrtvJxu+I+PbUrna/OztmawHk5VInRn1T69q7Pl0+tfHevIvIniP32VtDm7774PecZuZn89YauP/eKlLi+s+OlvdJr8wPWnnjydBfqzfZaGGO7dAXXWagapU9ZerfqddVJMRBlPQft9XGKSNputGzviB6sbtKdyYbbU/sIXgzk7h+sDmR/PQ7isX+uuMdz1i7ul2yfZ3a2Zd7HjPclxqX7CRKDH39ZsdZnXPPd/S8Bf+kHeY/1CwonKvUtQvJWp+SStlm/OjDa17N1wPumeOnlT0JKCc195rf57Cd7OGDgqGg4ap5oOcXNxlFvCNbPo2D0pYe1BUqCVEDjPdoVG3vutq0rsrdla4HqZjjeHbuufK00q/HZFrtfxzByRCyuqy1Iq13h0u+X49bCcV2lm4fV7K9lmYJvRZv6Ehjn9Xfm2GKXi5Dpwinajosoax0LW/h1/oSzdejroOBgvemwcxlbsYZ0iHdTTVdm/1yNgedrx+rN8ew9bvpNFg/Fhg/WW3OuYaT3yGL9XcPyiK+BXf9Mb4jVuB26/uX8/mimt87+UD6r8i+uLaLV82BcP0leAb97rcoXEfIwUoaBMozkHG1GUnf4zgpcPXnt12lbubGk3Nd8Yp8Z7QMnaaz5Dp5ifQnfeL3ZjqGYxGw7e+aOWwpzu1qiNWro/sK6FCBpO5dtt22L31trtDpvoWWzcLrWaCPWZ+8dnAXxbRhg3TF3os3rus+2uWEtBpo3C3N+OSMAVe+DtTu/3b8xszerD5+oMu6vGMrAuNtHWLVtCXI56/tMW7tGe8N6vKupoMOwdZuOjYZAsiBZw5RLtCODPuDoS0VqYZ5hddliVrWKrduTpLIpy1fLpBmXfvRzCbNsmMegrMvCMp+wFoqvrUUHTIm+KoKgqaHZQDT65sga81/08LdegWvQmtHasi0jYfZXUxjXp2ZnjES7X9KcZo32ko7Qr33mpz5zU8qkHuqppgvld4umep6BFkqKyditg2j3D2X77HCuHLEEamdHujsKApv53QaaxwwNK3rhhCLdzF/c7MvGCBvQ5r0Pv2GtYda60qwrv18QioqRmiHiuKYYvP1sVpTuqTDV/SkH8swH0bgpscKDC64GF3333N+w9quqid3VQ3LOlGHXW4opqeTeNnwNa9hMMEh4vxZNQHIplDKivflQ6brJSQIfwml0J43zso2DmNE0Zuq6SULcXEW99j53eetiZdta3S3Aum53BZmfzfsyz5xOJ1przNWYapjdiEI6WJQykioiylBy9MQXieitD1A3C+vU/YYAomIQPAVV92FjW/QR4WrU5/duXG+W8jPXD75GUmHIqfeFV8qQSSq9YXDH5CXhWgAJUKZVBChjYRwHRIUiHsrHKQpD8v49BUsdPFl7j7uj5qQOnTaL0CmgX6V56vBr9LR134wHoD2+7gOgY+tuTq0VM2OaJu7v76lL5Vid+9lpFn1yh7yGmLnjGMrN1Y60tVDr++H07T281Th3DBXflhi62XddlbpGMoKbRqMGYjChaVtKniev19sXIeVC6uv1Gp+nlDoEyzl8lrTh55tXTVgP6SYzwr8ObqhvXm+Y+vPPPdILJ0v7DOpb28sWx/e4spv3zVp3g+zI006iRzwdpt6otVGXyrIsLBWm2WkObmE9QvkePqQqtfbQTbt1kfhG3zI7/lSg8pSsFmi7VxeRhK/L4EVg9Rx5zaGeY23uYEoBVUwTVYaIwSFuEOBod7jo4dcaw/rm+FQcl7WxUd9ihPj7lqoOSC/i4D7b3SP50Wx12sKHFxewcBXDrJ9vJt2xs1apdcbawjRN3N7ds9TK/f09jz9+xLzMLKacTDAXkniHXYVURvKwixyCOEN+evCHT9KtFdBI3XF1TBTXBltIGi7rCiKltRdft1ox5t8gs48b3iZcB1yG2BlCC4uMiGREomUwHag4QwJtG8mGYdYCABH6+h7r74qTb7EyfTZIV6b5BposLZT/lMPXB8i6bl6mVsXivFqt3aufub+753vf+ygGwe09H330Ecu8BPavGUQxa1iLSGW3v+bq+oaUMwkjJyGnFEtfz1fkFK3VnOi3Uz2cWNUG0rZIiH7da3Yw9teLPfbcwdQCTHuBvHaQZ3VkkLNRDYRK0Zh/RDgTLu+6ElxilWevVzafd5u9nM3m+vkrRBq7Yj3tPa8W4kLP2zvX9wYu4H0Q2abQ2irLPDNNM/M0xeM8x+7VObzy1hqthbOacqHWBXBaq7QWg1rNY6x2vCLuSQ/5+sx3WRPIXIBPa5TDhndIXz5kXRNeIK9V+e4eOXUBbztMFJGGWttQrrNie1DljnhbAyxkxc/pK7FHzylLgiXZ3reCPOfQzGl2Bk1aM9oWV9l5vFx0i/NuPcIVCKdtmSeOhxPLcuL+7sD9/YHTaeJwOHI6nliWimRDPWZoq41WFwBqnqnzCSxTp0KdClQlDQXvDZPbhkIKkM65jacimHOiKCUliXblR5u29crfKOWvhAoTwerSnayGeI2JfpkQiW5yQE9zrtkyd6yFCRarcQAtJ9TzZjTgPIRsVX5dggjhRJ+6y1nva+LFt+/ZNtOTjjgizNPE3f2B+XTi9vaeu9t7TqcT94djHxSVNAzkng1stdGWBRxKmiKnkBN1VJaj4CmR2WFqqCq2YQqR69jatckZqVfxDdLOHTOJP6Tu/DmXu209T167w9daRVIL82+G2ApbRlx15hTG6cuzI/jy77GQd3OsfaauDlp/ENmcwTUzdgZnPqFR4aWvsX7QmlmT8/vsqYPNb/hkuYwd/Hw+ZrjKthRuEURH7RDfdvS6/IywBb7NfmBDC1fb99RNeI68VuXX2nj08ceM+xkkUcYFbWOYNC2b3taLkL7OJYEsa+hzBjvEnQ3GdbY07ratmEis8Vy0Ku0+cO3+AoBuYIps6CHuEW7272qr8vJA2V0hKVEN9g8WtExIHmgkaq2knMglIyrU6tQaqdvdfsd4tQ9wa9ghOZzeZs6yLKFAE7QZSEILPUzsMFO/rrTCDg6iMeDXLdaS9OuSS2bBJ8trVX5rlY8//oireY4N/7wiuSKeIPWL30KY89qWV7qWrMuBbY7ZqnysQ53ivdV4PO0d9HCgeSjfXFhcqR4zKFPRiBs6Pp7O2bTtsYePaWTYX1GGQnXlamqkYUaGHaaZVmsQkvqmF63FzpsOjLsdw34fnvlYkBwDvrkxL0tcX/MNBQzaSN8qrTtzEYbGhBB1tPX7hQQ5asUoVl7fC+S1O3zzsjAsS/d2KyIVaUsfxesW4N1zVV2dfkzWIoPVJ3jaZK/ru4SVZgVl/GIQbGCNrAQPDT9kBXC6F70xiM9Wlg3h6+eF65aRTObk1ijDEHCuOCld8A+62U45n2N6PV9NLCPWHfgW1ykpRk5qGxClEuGtrhHJs1FLhAn938US+Bx57Wb/w48eMy1xo+b5RMojeTdHmjZlUho70TGjKTxgTyC2mjUn6ertd0V1zzpSrnEzW18rLy3JGhqBkCTjrkjfG93M0I2xk8GsRxbWQ6k+ldWoFJoLqcDVA2eojd1+YjcOWGtn60RAvEsDEDRnUgkKWpKeeHGntYbb0lW1bAM/NyPVeo7/e4pbUooElyg4tOaUtC4FkatwS18cjevTSG2N7338hKU29mOmLidyGRiXKTJ9eSAPV6hmJI1E9KPQBM2d0LkSdFkVu/2CkzfABw9nSbeb5Jv5NBSVTCKDNbxn49YBpJpi3ngNxk3PPKKKNccpGIJm5eomR0avzlxfjeHEWVCxYhA6dS0XENmgWKsL1mbcjFZrjwgcvEX42pWfa0VFoSRkZRPnEo34JbZRk+SR+ZQeErtCi8H9InntZn9ZZualMC8LZQnsPpWF5AGKaOq05TX+p3vspriGc29rKlQ68t8DAmHFd6Q7bKvN7bG+RDtylwvzvy0Bq2JkM//bUrI9rh7p+ppILytxYpoK3lG4jWptnVvXPyPAG7bHDXnsvLt14IgqLEsfjEqW2ChNVDBLiFjPBa1YxbqEXAREL5HX6/DVyu3H38GXG8YMx6s9427PTTVyGShDY+cSVqA1ksd24OSMUFCLrFvt4IfayuCNaCD1dO3lDRBPSGfqVjdaTBFMOm4uxCwCSImqBe8bEppaZM1EtkFmopBSQCmecAtGsLl256RBq0gDOpLpG+ikEW2IU13CIhhYa0HaaI3pdGKapjD1w5FcRlJK3FxfcbUfSZr6Gt9iR62U0T64F9du6hU0h8V4gbxU+SLys8C/AnzH3f+5/tz7wF8EfhvwK0Tp8ccvVX6r3D76HlZPlJw4Hq/YX824JMowMjaLqpmcSRa7RokmxIe+4ZAiZDTmwLYxgQgM6gw94bPm6iPrk8BL9/ZrKH919rryZfUtNJYDJ7h8pit4vJZ+CSaCpCgQMZPO9F1xBjruMBF2uFO5rXWwKVLHMRCVxcDNIzNYZ6w17o8H7u7uwSGXoe+lk+PdCinpGteSUiZ7jfvhymKKSbCYczrzEp4nL2f5wZ8DfuqZ534G+Cvu/ruAv9J/f7l0YKO1oDnVjm+3nha11mgdN3cLZ2utqdsw+TUPvwI2axh2+fMlqNPx/DWpY76WQUUplFvbzqG1Rm2NVuNx5eO5tZii2AYnr578uQZhJX2uf2B9VViOZ/OzF9dzvq7gAta6HnU7Wj/i3tiFh7/BRv26X930v3Tmu/tf702GLuWngT/Qf/454K8Br9RirLnRWmWe5whfcmGa505qgHRM1JQZ3cg5tiayJtSaexTAlv9O0kNAERJGE0NEaK5rwIR5XenxMcNaQMbSFWlmLPPSkyydT6gJxUge8X9SZRhiI0Pz4A2YKtnDTwizL9QmGxnFVqRQVjoYffeszsWzFk6fNeoyU+eZWhcOhxP3d0ccJ/cNFEvJjFlINEopFA2CiKt0smgMBBULJpf7xkT+TMp/jnyqLlNOzLpqAWq4JPI8B7rVEyepV82oCrtxiPeIgrZA8JIg3ex7z5WbQBbDOkbQyPTyRprXzoR2rAXrRtwQmxGvtGacTgvL3CJ86vz8JMYgjYxRijJqJmVFUarkc5jZl4RqskEBTc6gdDh5fVXechSxJFiLmVzrwrws1LpwmmYOxwl3J+dKSkrJmf2gFHXaMHC1H3EfwPSsfDGS9RIVB0/2hSn/rFB3lxdsnHRZqDnsxvVdT2Pc/TadAQt68oWVcBOhWn+NWFxYMHWDydNMaRYz3+hePWFpTCLsqkvFasW9YfMRaxOtGveHmXmqxMY2GSSRFfbJyAq7IZFkxIb4WxSX6BYpfP+xet7y9DXB+ZHV/oSViCXpHIXE6iFnjGKNQtYBd2HezwmqLRHQf3+xfFrlf1tEvuHu33pZl6nLQs2bhze+JkP8YmE6pyFityhzQU1ITUkoSYSsHWzxtjF2Kw7eTb0ZzYIi3aRtW4jPnqmutGYc72+ZjkeWeeLRh9/j7vYJy1x5/Oiew2FiK3lGGYfEew927IbMg5sd/9Q33uPB9Y4y7rl+8JBSRjyF5++iNGk0Ah9onmiuMeDcqe3S/4hBUV1pkmkClcziiYYjeWTYRcVO0uDz55zJZUSHHVIKJmmzNNqjCzSRewbScZrbFwby/DdEd6k/zQ/QZSp81HVEOk/PgY6/I9vNmVrkqnNMj1jTXKBv5+edhhVZzJXtKpjYNvsnM2ZTaq3cPrnlcPuE4+HAr/2TX+XD736PaVr43nefcHd76LM2Bs3VfuQ3fe0h11c73n/vBjDeffeG65uGDle4lpjnKYAhI9Mk6CgNYWUgNAvK2BbT061aeBM04udKCjJKyuRhDOVjcfQNlDWPSMq4pEAwHZqFJVSR850VNvTwRfIqod6fJ5y7r4nIN4E/1ZX+8yLyx+ldpl5F+XGyQXdegQ2z1cuuJM1IC4pWbY3UDOtDQunJDbWtYNK6lw9wvvQ1gxfAyqlWpiYsy8Lt7T23T+44HQ7cPr7l7vET5mnmdP+E6XCIz+xsWLUd96PgbWEoymFqDLOTFmepTm6dPNoM8XP2ML4/kDdbn+/Xu5r5raKmp7PN2My+dE4fviaoEjmnaGQh5+IOOJt8s76JYuSEI7rEVibbp1e+u/+R5/zpD77svc+KuXOcKsjCfp4QgemUONzfU5eFVCqlBr89mzKzR7NTxBk01vaclNx3JmyNAEoQ0AHSQAyKuBHNnPvTzHGuTKeJX//1b/Hd737IfH/g43/yK9x99zu0OjNNj6nLgctF6FSuOD36OmW45smP/zjjuz/OnbzDuw7lxqjaSAmKrc0fPKyGKkZjsURrTluMOs3BO5SVWAJ1nqjzTLPGUhtLCxRTU2G/j7MYslJykDP3u4GSemMKYukwg7l6bKSYYcwLqNEcZluCgPoCee3w7rQ0Um4sNTzZZZmZphNmjdTApCBaqIzUVNEmVBqNiuIMRfAhEhxzFZamkacXp/ZpYR0jaK1xe3/gcDxxOJ741V/7Nr/+69+hHu65/yff5PSdb+PM4I+Aw9Mnm665v50hPaTKwPuPZ9o1eIEPJiMPRk7gLNFqZeseEjO/mmIm1ObUZYkqW5Fg4br32H3ppV1OtYCih5QZcqRmxyFFiNmLPLJKb2JyUTHUYpALa04h+IDLArU9q4Gn5bUq38yZj0fUjfuUIrZdGqK5w7vO4pmUKolCSROajUbDqAhObUJtnU/XJBwflKaKpZ7Vaw23COOmaeJ4mjidJubjkeV4oJ6OtDoRzb9nzqWRFxK4K7DgbYmy7zZjNVPrTF0SeCIlQV0jt94/orUI41oLgGZZohbQWH0aZ54XlqX2mrq64Q+NRhXDBFITtAqm3hNUQkLQ1pBWe6QT9XkrzrC0NXpYI4Pny+vF9peFj379N8g582g3oimxu7rm5p0PyMPIbn/F9YN3SbkwXB8YHzY0DxQxihiKd256xNjmaz8cRYYrZLgCiDr5trC0xoeP7vn49sjpcOTj3/gO99/6DWw5Uo8fAo8IxS/ff7LWYDmG9zw9wU4fY8crlnLieKskO5GHgaVdkXLu6ea43/PpwOl0R6sLp+M9h7u77tcYS6/hq8tCXWa8g161V+lUb0zeumWrlByJnd3glFJIybiyA2Obo5PI0Eh5AE8ckrNY7lYob5yB58nrnfmtcf/xIzaqiwjj1QNuTlCGkf31iQezUcrAOMPOR1IZosBBAlZV7SXPa1atkx3zLmaKCHidoM4stXF7d8+jJ0fmw4HD4yecHj+GeoT5jtjc87lnC7YA2l9/j8+32OxMxz1ZjdwangrJglSZJdCFZT51bv/CNJ04HCdqq8xLY15qQMytYm3pSZ9GdN1yqhliQeCISiBDk2IkConcgs8gVJL2CmARKsa0JKrH5CgaS8eL5PU3Z4At1Yn0CpjpiFuw67IKSy4sFZYW4U1O0qlcUduXc0JUSBrMVdEEpSEr8bEzWpBwlsasSMmMu4HdfodVp/oOsx1r4uXMeOukDRmCU6A70rAjD4VhKOSc0LR27KDDxMHytb58BB6/0OoSvP55otbGNC+c5qX7I7VTur0rvi/QvW2cICwlbTPfesl2TkKRhHoiacZ1obmiyXEqyQTViCBSerG7/+Upv0XnrHY8cKgNVeWYErff7TX75R10/C6iAzKM6G6PJGW/H7i+Dsx7t9+z21+RUuZaCpqHTv1y6Jm5691AwpgHwb7+LolGnU48+bBxfJJidi93YMd4DzugIHlHvnkfHa/YvfcBD955yMOHN1xd7fogyFEZTEV7IcdUF9yc6XjH8e4JtS7cPrnj0cePqUvl0CnerRm1Bqwdad8z8ydq82NZG4ZMKZmUlJvdwG7IlKzU68K8C6ZTmY1cKpISqVQ0lchF9LzAi+TLUT5sOKfZgi2fsObqEVIFGWB/BVcPkJy5eTCyLCM5J2oDl0zOTtktjK1t7Zykp2uHnNCxUMQ53uypywOmY+ZwdwNpjvRrm8AmQvkDMCK6R8dr0tU1eX/NuN+z34+M49A7igSnPlJIRrPa6wIayzwxTxN1ibLt4+HIslTuDgdu7+5prbHMM0tf80XigOAFuAXHb+jWJiXBloU6JoasDDKiXtBUqQzk1mlvNXCQpMpSLJaFF8iXp/yXyQpYcNGjJigwUbqtGUmFlAdSzpRhZBjHIDj0jJ+707LSaqYOA8tcUc3M00Ry5/p6j9eZerrG5ntC+XugkMYd43sfkPdXvP/B+9w8uOHq6ipmfclb8mldVbfVdcXfe1uZDXTq8G7re95Xi26bvl6jdNbShlr2RkuSSKYMqRd1uHOaW+9HIFAqrg1RSBKDEneq6EUp9yfLG6x8C8xaOppjDVxBMuRrvBTS+IBhf0MZCvsH73D9znvklBiSUDp329rK0TPee/9rzNNMa5XT/T3z6URdZu6fPGY6HoIPRzAh8zhy/e67lN2eh+884Lf81t/Mg4c3JO3+h4STt2bp1jT+yu6VlBHzAH16PqMazBYh2WlxTqfl/9/ev4Vatm55neivfZfex5iXiFhr722apukFlGMVBaYgllJSSBZCIgUKxwctKEgQ6rwUKPiS+FIICvriBapeslBqC1Jp4oVzEKFIJKX0RdNM9XjMRE2ttDJ37sxct4iYc47Re/8u7Ty01scYEWvFjFi3GRFrzbboa84Yc4w+eu/t+9rXvtb+7d8M/6d2fcox/hskkKuQayRGpfbAVBs52YBZSiGlyjkDYzP0U+4QY/MS8Pr5kTyvT8wLNqrM05kfIRjzZUgDaRiNrWPYMGy2pBTZJDEnDwdLeFn22Xk7hJXrMtsefCk8+egpu5u9fyegSh4HLh8+ZNiMnJ+f8fDRQ87Ot8f9v1cCi670L2tGbYWeByeY/PjMryqUpizVfAUrF/dYg8fqJURarLTQiQ1C6CiBoStjNEBYzkIaKxIrsSsSrLpXekC7vhTJ84YpX1hJimPekseHSBzJF5fkB+8Qcub84TtcvPOINGQePrzkwcNLcs5sz87Jw9bz31jtO3hMPDiYw3IBXa2KpvVOLZXNeMY8TYecOygxJcbthpQyw2Ykp4xItIHUqoEsUfC1mm48fOr5ijWpEkTIybB+w1AZciQE6DXT6mDAjtaMbWtNV3fPX0iie+lGxyOZakmjgoBGikaiBloPULvBuoLB3d8oWpaXSohINiTN9uG7XH7rN5PHcy4fPeDRN75BHgbG80u2Dx4RU+LBg0sePrgkpkgczojjGVGE86ScJSVG4fzMHDWL1hzr8xqZTjR8XZ0NdEknSkPEEjG1VuPcIVAl0yXQa6XPE1pnJAZitn22tkJbJqNpKdXROpBT5Gw7MKRAFzzF20gRYjIMwn7p6OLQrOZ8eyL0aGDSTqB65g+ESRPSA0UzoWVqG4hdqb2SpBBCJOVOiLer981Svojz1kTiZsP2wQOG7SUP3n3IN771LsOQydtLxvMHxJS4vLzg4YNLQoz0MKJh8JnWyUlJMXB2dsbFxdaLO2BF0fawoYeMqJIoRK/ii1IJYvi53W5PKYWlwfWyFl9gdOe1mH/gSSZVn/mOP1xXkHXmCzDUypgNDtZao/aB1jqLdsKa9hX/PFitoJPGrTPfQKBG6b7O/NADXZTQCyrNuPlC9ITxi+X1K39VuAhp3DKeXxDTwMWDR5w/eMi4veD8wUPOHzxkGAbSuCFvjNokezEkslbkeDFnCGgUNFo93tKOhIfmBip68mCMS09pGLRbsMja0rqFZGunFgvPtjJTHEi5FpEigaVUarckS1MjilAwtI973irByqjVoF1H5E84wTo8X2ZlDButVUpRtAtzMNvVuhLzjBJsdxOVZPiSIwzqFnn9yg8Jxi2EyPjgIe9+89cxbLY8+Mb38e5v+D6G7TnvvPMO3/x13yIPFsQJTmGSc3Y2bHE+A9siacxozrQgzBrQxSJmUVaotxB1JuoRRmXQbKd8cYzBvDRq7ZRSmKcbSinUMjMvk0XnRJDFftZm7+3dSsVW+HgXsYSTAjGjyaKJPVQ6hYYBbrrYrsAIlB0wrt3KrwTK0mg1WIVui5TFav9aF+axEENkHAeiZwVVOsMzg+jj8vqVL2JDNWbSsGE8v2Cz2bI9v2B7fs6wuWBzbkfO+QBlQ3ASx7WSxuv5RY3v1okKmlpadS3eCUGM7EFWsIOZUnUcQGtOn9qs40Xrndqbh2tnWi3UVqndyZGcD7d3PSB2jCLmcEXghRp6IF3guZnP0UqwVhD5/HdERusc6vmLV6MmxVHQRm5JSKZQgU3HWbpfLK9P+Wt3iJzJmw0xD2zPtpydnTNuzhjPLsibC/LmnJg3Xr+fQCva15h4Ojzg7vCvLoEisOb7quiBi35I3joFRaJF1Q64QcSdvOKNEyrLbDO8lJn55im1zCxL4Wa3o1Zr6aKfsJfuvfmhlHlmWWZb22eP/NXGMk0ss71eFwswrlSwtGq1CrIWfaoXYCoahGVM9BwNzu54vhA6c0uEJAzZrmlT38QIn8ghq5c3I5cPL8jjhoePHvHwnXcZN+dsH36D7YNvkDbnpLMzSBsDTJZiqVbtaMp0HQAMENEMzKl1oS0joF4JUwhBOB8j2xyJQSEUCI2uGMZPTfmLbwFbrczzRK1u6m8eU8vMNBeeXO1ZlupruXngKYonYeTY7EGV/VzY7wu1dfa7PfubPbU2djcTu5vJBsViKQbtCrVArUC3wkvxmEIthxq+ut0QhkyIiaVAys2Ap1kgNsYcWQpshzcxsXMIgQZ33CyGvbJx52EkDSMxj8Q0eqm2ASvNrhpXfW/mOIHQq3HeCkJ14IPBtS2KF4OQSSSNqHRaXGzdVaE1U37rSqnNHLdaWeY9rVbqMlGmnc38uTDt98yLF2Q6UWROEYZECHIAk6oqrTTL3TeLKdRSnLCxUEuhNaVXRQt2b6WaolEQC90aNGeBWtAY0GjbxtBBQqFrsiJWrfRgrVn2i1cd3yKvMaVrUbu2LOxvdpTSCPGM4fyacVF6vmJz+RTplX2faXUxiPb0hLb/kLVQceXnNaYtd5Z8u4iqoW5qIQpcDMI2Cyko56myibZuV99Ld4WyeuytMk97U9Iysbt+TFkm9vvCR09umBznb8WehiscxuSIGw6p5Wku3OwWWlOmeWG/N1M/7WfqfraIYw3QvNCzVQtnoxCqxfxVoRX7Ww3AhNZGj5XaIjqAxgQ9oMlg62VqzO1N3OevKV2gTDPXj6+QtKe0REuX5M1Ck5Hzs0vYnjHdbCjxjI6w3HzIfP0evVVWDgrzjfVw6rl0lmozb60HjKKcxcYmWCHGxahsk7FdxpSQaDO4rpG0Wln2N9SysMwTT588ZpkndruZDz+8YpoXCz174CXmSBozIYp36bJdyLxf2N8YFXuv3WZ5V3pZ6Mti8QDNBg5EjqFsUatSEh8Ia35DBJ0Np68xo2dKHSuSEuGswTBQa2SvAy19zjVfRL4f+BtYSZYCP6qqf/WzVuo+MwAwvF0t1p5kWRamaaaTWOaJuuxJUVhEmcXwb/Nux/7mxhwj5UihLsfT7ufKtBjffesWbQt0ltDYhEYKSh1hzkbekHIiJpv9hr0PtFpY9jc0B5heX10xzzO73cTV1RXztNj2Qb1iOEfixpQfYyIN1kNg2S9M13u0eRFFw/aBtZj/crLDPwLQ3UsP1dmf16XOYwDd35dAS4VgiCBpBWmC0ukFCwTdIq8y8yvwp1X1Z0TkEvhpEfkJ4IexSt2/4H10f4RXLNZ8RrSbSeuNurti+uhXKHkkzk+R3WNyHqhiFK2KUKYrlukp2o1A6UC6g1erqFKKYeVsdbFBIChLaOykEwVuMt7M0Snfo5VgdbEtYm+VOu3p1dbm3W5HLYVlKbT93sN96/cb7Lr3aNRqIaApIUBbKszFWSVgJY4w9FD1ay/AfPpQjs/m0FdnHRRuHUg2iMps56zVahWLcf0tfaTnz6l8L8j8rv9+JSI/h3XT/MPAH/C3fZtPUan7jPRmNwDUunBz8wREuImJ952/xqpoHJnbK6r1kNs/Vpmf1AKd1MYd4qxY5m2N8q11/YggyZs5YqSISLCY/7IcSsV7XbkDjywap5E4RWh+zoZQHT+3ll+vl8Iz17S+IM+c65n3HD5zuHLMfCRoCaZoDE1R0DahSdCc0L6h5Hzro/9Ua76Xav8urC/8K1XqnhZqvlBWkmRvKwJ2e8vxLByVvJrJ518/Kv9TySHI5A0VDsr37dXqfL2sYc3J1Z3+/OJkvVfFnk7ggD9cW67WzhpQ6i2hX1RHTRG5AP4O8KdU9ekp2cBtlbqnhZq3VfPeLqdT4PlTfM7HvO48DiZVbUD0447kzZHnl4AOVF96ogXBggFag1O3AS9M77yS8kUkY4r/m6r6d/3lV67U/WLkkwIWz9jFz3HqfmJMTmbLG6X408F/qvziPzOEzYnyrdLnNnkpLYvYFP9rwM+p6l86+dNaqQufolL3jZfTwve3Qk4ngAe9Dizcn0AHcyKvMvP/K+C/B/61iPxLf+3P8Fkrde/lixMRSNm6fcYMebBW8ymRxy1pNIdv94KPv4q3/0/4uCu6yqeu1L2XL1BCgHGAPBquMQ8QR0uWbS8Yt+OtH3/9Kd17+Ywixz3rSsfq3HQhBOu589bi9u/lk0XEeIPiADERxgHxDF8aAjEJeYDtoIz5TYdx3cunExEMnjxYX+ExE8ZMipHtJpKzkDOcDZ0h3Sv/qyVrdYhztEj0HoXBOoomj1elYDR1t8m98l8i8tzvX1Bk4dOLFw9bzUpAsmEZN2Mkj4EUhLNUGWInxc42ZYb0Jubz3xI5lGDps4PgzpW/RnYTFsjLlkVMKbAZA5uNNWncpkYOlZzUBkK+V/5XR/RjVt8PPXlNDo0WX8LNcK/82+Q08fZa431rLscvIqLk0Imhk2hEbaQQrC19ioR8bFF/m9wr/yXyxgR510pugahKCupOnVE5BoGQEiEPTtqYrDvILXKv/LdMxGsP4uGw5skpRGIwCpfT4za5V/5bIhJtTU9J2AyR7SaTc+by4oztduvFmaMFe1JiHDfk9CYCOO/l04mh3K1vXhKGIbIdEsOQuTi3QhfL5GVEAiklhjxahdMtcq/8t0C89tRYyZLVCOScSDmRopl9494zFtDkXIUh3O7u3yv/LZAQ4GyT2J5FhnHknYfnXDy6JKVs7GBjJoTIkK1Q06J9gfDWcvLcy0HEeXgvzhLDOHB5seHy4pwQE+NmJHmnzu1mIKfkO5SXbPK5V/4bLWtAJ4qZ/CEFhmzFpimtadtwaE2TghFRGQeFvBSMdK/8N1QES9LkAMMgPDzLvHu5IY8bHpyNnG8GI6weRuMnToHLTWbMRsLc+ssBx/fKf4MliSl/jMJ2jFxsM3nMnI2ZrRNThJyQlBmibwGz1Rwu1cg5bj3/3dzGvXwWOY3hH1ZwPbRlwjh6u7d/N8q6tVkTctL+9QVyr/w3VERs5g9u+gWrHo5q/XalF4J0kgpJG0EjtW4OH5aQXsq6/SrQ7Y2I/DMR+Vci8m9E5M/6679VRP6piPy8iPwtERm+gHu+lxMJYmRf0bVkdSTO0q0V0UrUQtSFoNagsTTrswcYfPuWvf6rtFOdgR9U1d8J/ADwQyLye4G/CPxlVf1twEfAn/gc9/mVFcdfEOW5g+PxSUqQ9X9GzIPXcp/06dNDW9WVp3glbAuszKD9UAr3SfJS5avJtf8z+6HADwJ/21//NvBHXvokvoaSBDYRzsInHKw0z4e2zodjVb4GP1QPTGHWhdN4B4wNtCK9krSQpZLU/s16vOjaXuUGRCQCPw38NuB/Af4D8FhV1zP/Ela5+0mffXmh5ldYgkB+3mnjWFu5Fl093+XnMPNX5Z/M/LUtWxe8iti+IFh3PyOpMp6WW6/tlZSv1griB0TkEfD3gN/xSnfOF1Wo+fbJaSn4odU7zw0AMYXn56uxOXaiCUf+ZqNpU+MQbrUhCjUr0dp4Ups1bjD+hnZgK3mRfCpvX1Ufi8hPAr8PeCQiyWf/bwS+82nO9VWWdZ0Xd9hStnU+4INgLQV03WSFYS3Z99ERAgwDDNnb+zouqyuUUpFptnYz0fpuxg5NKqnh1HTtE2niTuVVvP1v+YxHRLbAHwR+DvhJ4I/62746hZpfgJzSKAT31oPzPySf0Skdj5xsSzeuR4IhGXNIXGd+OJI1tt69j4937OpKada8oRRr0rjUxlwqc/l8a/73At/2dT8AP66qf19Efhb4MRH5c8C/wCp57+UtEtE7LEUWkfewfmbv39mXvl75Jm/Gvf5mVf3W8y/eqfIBROSfq+rvvtMvfU3ypt/rqwR57uUrKvfK/xrL61D+j76G73xd8kbf652v+ffy5si92f8ay50qX0R+SET+raeBf+Quv/vLFBH5fhH5SRH5WU97/0l//V0R+QkR+ff+853Xfa2ncmdm34NE/w6LEP4S8FPAH1fVn72TC/gSxXkIv/eUnxjLcv4w8OEJP/E7qvrpKWq/JLnLmf97gJ9X1f+oqgvwYxh/71svqvpdVf0Z//0KC3+v/MTf9re9cWnvu1T+9wG/ePLvF6aB32b5LPzEr0vuHb4vUJ7nJz79m6o+n7V97XKXyv8O8P0n//5KpYFv4yf2v98BP/Gnk7tU/k8Bv92BnwPwxzD+3rde3lZ+4rvO6v0h4K9gWIe/rqp//s6+/EsUEfn9wD8G/jVH/u4/g637Pw78JpyfWFU/fC0X+QlyH+H7Gsu9w/c1ls+l/K9qxO7rIp/Z7H+VI3ZfF/k8tXqHiB2AiKwRuxcq/+HDh/o9v/7XIyLWDfOAZV77YNvvhlM2jDqsTS+e67GjesCyWwOkbmVMYG1EJXy8y4QXLz5LXrCyFdoVHDpynX7lc+c4fsY+/8zbTmHYevI1a/NH/5wgJ6c4grpVrbb6+Y5Cwkm/H+3o4eTHezQaFr8P7zAG8H/92//f+58E4/o8yv+kiN1/+fybTos2vud7vocf/Wt/jTQMbLZn1snSeWTWFiEqdkmtdUqt3sqs0lvxsiSrUQNF60KvC2ijzze05QZBiMOWMGx8kDlfjQiEBGLtV7skOtGLGrN1qOQ44KxzVfcH7YpDQKyTpV1rpAf/XdeWa1g71kP3teAQakHjgKYRJBiNmljr1RCTtXdTqMtCXYp1A0WogKgivRK02vWUyTovs95TJMTAOCRSivTWWZZC966l/8/f85v+0ycp8Euv0j0t2vjP/vP/TM/ORkLKpGwc8YQEaWPYZrAbUpDQECneWZq1zTRBOhHrLtmko14HEmJE8nD43WDu4qyU2QoevO+tHpD1x340NpmD97C3cmf1Dtar6mHFxK8Y+whxREOyyhmtKB2CErDZ+UwHnBQJgyn/lCI1RmPMtvdFxPH564ATQLrV34l2JCWkW2/hEI2PJ8bAMOSD8seyHJT/Ivk8yv/UETsRIeWIhGgzXsKhJyxiyj+tSyRYMZOs7MeuwvVY56RNMIEQnblKDs2MxTtQiJcxHtsqruabZy2/WLWcIoicGlcbBP1wkeDT1q5dQKW7ArufWg7mXwWCBMT79slavmUGj+B9lEMI1qFVbYkK/mUi0SyANgIV6WrPM2UjX4yBnDMxRjTYnfZ4uz//eZR/iNhhSv9jwH/30k+5CbZ12bo/Ba9r6qr0rl6QqtYwsHe0exPh3qitUNpiM78WerHWYlE60c8nQFibEetzplxXbVt1nPXiVfAZ30VNG6q2/q5VrnIyh9fXtFlBZMCv0Tt9ql+vqi05RCNP6NVax0r08ulAAKIIae2X6GU9Qb0k20dPkOOgDwEC9vkcAzFGL+oQ/4xQNdL7l0TOoKpVRP5H4P/gGLH7N7d/Smz0e9O/lTsuBEGCN4r2AWAFiN6Dti1QrbXpPM/M82TVqmVGy4QIbDcDcTv4YLKiRTMW3QYUarN+LYuic+jA3eWgfJVEl3Bc5VVXH8rb9nbEuiFDF6TP1t61dauiVbWWr6uPEhIhWB2u9oKW2SZASkSJBIRMYJRgS3gUgpMpadPDQDPLo4h0kvfRCSGQh0SK2a9KKB16F2pL9JfwsnyuNV9V/wHwD175A8Kz3rJ732vnR4RDD9y17ly9pbj1sbXy5FKsMzaloqUQBPqQzEiKFcO573zcEcjJyQEz4OvMCPYnUVvvWR31E6//sB052Zf4ddlS5Yo6dOLs9jcN7qmvnnxzixTsbyc1fDY5rESrqxI6h3MfZr3P/Ih313DuXdS6qdqzkyM9yy1yt7QsbpLWeWWzDbraLNS+cs2sbz+utl29tfmBfgBCSMQ82gNLyVgn5Xg4SzEa1vOsg0FOzu8Dbf1d8AGgh+7bvjE7DM6mqyPX0dq8d63vTtZB6kuAlV+bPZchwjBa38MIkYCqzdiGXUIXDtW7tiz6oyLYmn/0cqzrN3IgXhqSfbZVe4y3u3t3zsljTpf4fnclDOrdzFn32aK+5q9jvROoBFQjTSNNE6qdmIQkyWrgnZ8uCOZQuk9BSOjqTXV1siKfHSfKV+3HweJrftd+mPXr1XbfyilGltCloiK01qhlofd+GACqsLTKXBeUQNpGEp0QAxKFqOb1u0dg5xdQX/8l2tpuzt9hs+m/2XLUNUC3ItBxsKLPUkC6NVq9Te5U+Xo4Tsw8fiu6OnrrO/0z8ryPf7psRFsjxTz8IOK17OYMIR5UWQMrh10Dx3Wc51aDkz/apRy0b1fqwZPVinScAau3A2mC6voTaoNShU5Hqy0LUYxcqSuIHri1VpUeV6PD76vyxZ+ed9AWfyZ+8UbWaKtPDNBu9/fueOYLIMlmcwdQJBwJBVQV8Zm/7mFFQbJ579o7MQ0M4wbUuk0MoRNE2cTOmNTN5Lr9Wp04e0DSOyF65KvLYYXpbuLXLRi+xQscI3L0bkpSpTdnyKA5CYLQaqUuC613SlPmom4lbAAoQmXPrBbf0K4EsfVag7XFEnwT4puJiG0B/esPr0vwTaBPjKa2Kz7EE2Rl6L5dHXds9gMqgz3wpmhrbtoactjbmCMVJFp/WAENiZyyBVxEDw5dlkamEVBnpTJD1yXSPW7QD2Hg1by78mtHmim94t99WIp8d+AP13w42zV07fTaXPm4Dw6tVJbZlH+zCE8nqF3MQfNZ2hfoeyWERG/dlJ8iPYxotnB3LBCrDeKchZTN+BR1UkXxiRGcpcOt5ar81XLEyPPm7GPyGnj45MTMukcP7tH7a/4+89wDEjpCBA3OOy+u/EqmmWfQIXiM4DDzweIEvqzIarJVnSalH8mP/DtXC68nJnNdlvTwtDvaj9E7BTP7zXYhtQpLDZQGUZQk5l00rTQtSFBKMXIFEFrvNFUC4haOQxDo8PP4VI7/Plm6Tu7gQN7YX5Kzvds1Xzt1ubGkTrS4Pqo0XTmosCUAPMxqRvnASSF6yAWI330nENz5scTGiXfuy8eq/NbcGVs3cbJ6IEZjZh4UaFDPKTT7qZ3eGupreqvVzqdq+2qFeVnY7/bU2pkKzBOUhi0XHmaVoSCjEmJmGhLzmOg5kQc1So4giAYb3CI0OcaTCEczHiKHLWK04KLx9DrTR+h2a/nFLGzAXSu/N5bpipgyMp4RJNE10ntEJVncft3egA0EBVsLPMYuYnF8WZ2yREdJEgkeAl39A3PwzTybEqvPWD2ZTgrimy21KKO24IOlHgJOvRVz5FqnV5/hXVmaOW/TNHNzdU2plf0C+xn7+1KZp0JXyGcLwwXElBkT7DPUnBkGQccMMSIpEVICsa1acSuwkjEedrDYz8GpW2KEzWDKR+113iTlg0e/NPhWbp3bx/n6rKd9/Ny6M1/XvHXffRAJFv8WtUBK8Jm/+sZyGtR5VtZ9hEV61YMwK8HhCZmhp43tcB+gWUSy1WpHqbSqHo1WWqmUYsqXWoitIhJsYLVKD6DNwtislkvWu7Zns1rvQ76Co2kPrvh1YIR1ByUnH3yB3HGQR+l1tvUvLqbbGJHYTKGem1+z2WuELdCJfsfxJBsW1FMwAilGY6cCtBW01XVrT1OQoITW8QCgP0gfGh5j777va90icdIWj9l3tFVf1xtlLu7Vd+al0boy7yem/Z5SKksTejVHUVtFa3EDsxDajEhHaoKaEMmEOhLaQCARQrfc0mk6miOLZxBn8PRk0JDN5K9hjeYzqdeTJeMFcudrvpY9XZWWRlTt4cdeXRHumAGna/3aSmz1ctcETqATV+WnTB6ynaMGNJh1qSqImkMWQrHJIJxEASEQUfHEUmlI72ivllNo1ZaQ5ut8qZR5pjZnvJortXX2+5n9zY5SG1UDTYMNvtrQWn2HMRPqnkghlIAsATQhJRNrImpCoiLRHN0olhMQjMkzufIHZ/ValR/z6nS6P9qgVjOAt8ndz/xWITiNaGiE7qgHR6eIrmlUC6HY58ADAUfnD46zGA6ZQlmzcnIMi6xv/pjRFzmc2yzPIR50dAfWJQHPL+iznr+uEb2Tvx1DWXIw0es51/OZZ9ksnLdmAYMcMpkWYVa/Z7/PE1flsBNYTb0Ka4LysGS+SVu91hpPn3xEHhe2Ekl5Q+idLgGCU/rqiWJdYS0IzUO3STuDqCNzjIRQDBGBevvQHhra03G34DFxCcECLIflxfYLiCC9IaKGrolKbwboaC04t+3RCuUcidGefOlA7wxdOaud2hpVhcEjdykEglgDhHEzMI6D5yHsWtVT02WZ6C2ycuyKRCSPSBroIoQUkWgBqyaCqA+hJqglBBl8MPQAS3zDYvutVZ48/pDt2ULMg6+rNvolpJOYvtp2MFiWbu0dY9m/Tg5q8fpgECwJwRBBMdqAb4kuZjlsLFVzFEOw7hSWwgPs4Qef+UEheQSwt2DDowaoAQkVuq3DOVtuQSWwdFtoRzvZYc++bgFT6IhEusKwHRg2g6OLgkcSO60tLPOeGAO9N1It5oe0MyQ3S99qRjShIlQiRMsJ9Abq4JV1OWhYmKN+sn97kDte85VaCqVWWi20lBEpiOe+V+Wv7xW1BI2oZcAMNBEOJhZdzesa1l3tqxyideqvH2a/vy7BzPwxonOMn1v2NxxyBOL+hvh5g1hkYMUOiHj70uhTsNuCFRSqs212tXZnMYjnIcAsXbf4QavAijcE6RFCIYRou6MgdnioWnu0FHQP9C4G9ghrPhKOd/RiuXOz/+TpU+baCTEzzBMxDaRxQmLCMHVuuiWhIQPCmATN9uBSz3QZkHgKfghEjeb8IbQQHYzTDxtHFYM8IdEcO98mqZp7rN0e2xHbK2i2EGxA0FRIGLnx0gE1JdopLb+AJ3R6V1K39T/FxDDYmeOQSQNI6OTYib0QEMpUuW4TQaxh4pAM6pbGLWnYEEIgjhuzliHSh5HuhL5VE5QIEXToSFSCCrGK5S9ukTtX/uOnTzkrjRgj47wnpYFxszcEa4gQBpBAI1Hw33MgDIEUhcpAi82wcEEIKRCIRB1Ih+BQsPVRO553M0Ukw+V1VVSU2MyJa/gaDwfgpTgiN0ggCkhLdOmIdEq1uWXKgqjBdiDoifLNkR2xPIMiFtWMgHSCNoI2aLC0mXlvFmdMQo22vIzbLTqOxBBp9Yw+jBATvZ/R8wZCoLSRHhNE68ARsi1psYY3S/mqUEul5kJtlViPAQ8FBygaorYDXTwtEgK9RwvCdjeTwiHcKhJsNrtp9+36IYdwSMPqmorFvWJ95n328nPBo2f965NAlC8tEuwb19Az5tEHxyOsTusBlLGyzruVAA8fe86+qoVnbRlxbF6ItJTpyZ1Eb7pg93a6A/FElvszH6tbeE7uVPm9V3ZXH4EWttsR1UZtlY4QUjYPNzRTvkQ6C4iwaGaSgRSFuFgMO0YLCTfJhKhsUqUny/r11j3tanH4NUZfaqW1bpm87lhBVXpr9G5JliO1ufh7bCZX9T5Wor63EnAHzDZj1RzX3pHe/N9rc4QVr1APo7LVQi3m6/SDD8MBnh2CsN2esdlsSDkbMgwhpoZ6jUFwx1GioY0XDdAcHZx8Gb1F7lb5rbG7eYKIMp2fg0BtnS6JULuDOdMhNqleeRMZWEKnteidJYUYI10yNVRCBM0NyZ46XWdGV2r1MKoqpRSqB1yaqqdDLbVsSJ5AIEEQtHMYIFY6sDYxM//BPLaIasaQdcXMbGiGRFUxZ641yymoxy28L848zyzzbDiC9XpVzTKWSgiB8/OF7WbDMAzElIk5E1s7JLaiNlQHVozE0jPdCzhyNEj3bfJS5YvIXwf+W+DXVPW/8NfeBf4W8FuAX8Dqzj96ufqV1pod3X5K6JZtk3ZIuVqQxk2pdHqLtGYBn9aMY14RpHVCczBFt3OKK7+3I6Km+exdv1vVkjHNZ+GhUZF0VDwX4MvL4TgN7tiT4RAcWv8TOZjc43uevf/VTPfeaa0ZVKy3w3fU1qitEdSu93D9zULL9h12b+jR3K/LWlvjR/pcGdknyKvM/P8N+J+Bv3Hy2o8A//CEYuxHgJdSjPWuTPNCyDO7/UwnkKqSiYbaEYN245m7GJNH3izUG0K0G8Zm/tjEes3FRAyB5K3ETcn+MGul+sxa5om62GyrtdAOFS2eBIqRlK2iSHtFy2Rh3V7ROvmMPgahDHPvxjVY8GXdBnY4UczR/Hdt9K6Uec+029mychIhrKVTayeGyDBUhrERWmVZJuYpkXOmeycG7UJrndq6lYfRiY7nC0E/NvQ+tfJV9f90hqlT+cPAH/Dfvw38o1dSvirzUojLwjQbft3agyRCrMcQLZBSImev5fOgTAi2tqkkQmw0tZBvjImcEkPOSBBqtQfS1bZmtTe0NZZpR50nujbKMlOb1butfSRCTORNJzYrwJA2Q1+V70keBDQeZnr0CLH6StA9X3BwJFdLoXhq2NLBZZmZp53NandWVaFVpVYlxU6pZsFaMHBomSfojb7dekg4WhKqWVEH2CDIKrSo3NJS79WU/wJ5ZYqx00LN7Xawke4FDr13Qj+O+sNTwvPwileu6DNmt3dvItTMJCKd2i20Kio2E1z5pVRKs4c+7SeWaUdrjXneU8vikQEDk4SUyHMl5tHKovpi2zE6QQtCs1TSoaYPjtH65wCmHCP8h13Hx47je4/7DTlU86xBpfVQRzbZOb2MYx1kJwF/+/vpEvXJ8rkdPlXV27pmnRZqPnxwpssykXKizBMxWKAmeUWtHgCUYqCLY32DtRF1Mx7KTGgWfCEEYlAkzxD2hoBpnebr/vVuz24/UcrCRx98wNPHjyml8PTpE3a7G1CrcFEVA1mcX5KHDTHAJgs5wpgDjy4SYxZiHsnbC0LKdI3UEOgSqBq8UEJoGmhEr6JRRxkqVmLqkPSQ0TSizWHe3ULQMUciBuzMw0BOiZQyIW2QfIamTA0jM4NlAVUcf2hZqeCo5aZqy9SXoPxfFZHvVdXvfhqKMVU1czsM1LJQUyLEaOuqDwQNXs7sFdICRJ/9Fjtv1FI87JqgNEKEMBckzubwNTeXrXF1dcXT6xvmaea7v/wrfPD+B8zzzAfvv8/TJ08djSv0DjENbC8fMowbco5cng2MQ+TiLNO/ecbFWWLYNM7zlhwtf9DWLSDiaMJ1zQ/+sx9mqHsuHsOwCOYhc+kzP0gihEQKwYowUzLfJw2QNmhMNBmoJJRIUsP9Wah63aq6tey3J/Q/q/JXirG/wKegGNODt1+95t6PXpEmXpUr7uVH+6darX5zDN3qFIpbAYmV0JWSO6lazrPXY9fJaV6YpplpmrjZ7bm6vmGZZ66vbri5vjEnzI+YBppCHhaGHKFtWIaE6MjuMhNSoMfO2DqhKU0UjV4rvOYkODH3nl9VDyithZdrGdWaL+jrLkFAJBA9wBNjOBxyaJO2DjAr92pdCH3NR6wP2gEpnze2LyL/O+bcfVNEfgn4n1zpPy4ifwKnGHsV5feu3OwnJET2+xvH6DdiDKQ8IGFA0gYkGlYfc+DoBa3VK3MydbBM3lIqcWmEEFl6ZNIBENqyp5aJWirvf/AhHz15wn635xd+8Zf57nd+hWWeefLeB+yePnV/YwatSMjEdEmII8OYuXx0wbgZefDwkiaBhw+Fi4sMw8K2W+pXsiAhOpzLl5Au/jsO9TK/pjVD/6j7Mwfla6R4dHJMmc2QySmy3WyMxCJGUrRaLFN8ojFYwqdGFrX8x3bsiO8m5tJfZvVfydv/4y/403/zKgp/VvmdaZ7JvuYvjrko2bZWITYrXgwJkYTGbs5Ys5VTMESO0mxXUJVQQEKihjNqNG+8Tgt13rOUwuOn13z4+Cm7mx2/+t6HfOdX3qPMMzfvfcj+6ZVF3bgBFn8cFyAjw2bg+uYh49mG/Vw4e/QtFtlSqVw+MIsTE+QQCdrRfnS+up783jH/xa1LO0QWYY0VKIGqVrEbYmQYkiV4xoFhGIxsIkQPHBl+qVvhF61FpDv/QLeh0XtnmStL/XLM/mcSVWWaKjEsPL3asyydzZlCHBmaEnMghUpQQUJD2zqSG7UbFUvzQEYIVvAQcjUsf6u2RQNKNdBkWRbmxc3+PDNPM2VeqMviNC8F1nLrFV3jYdreA7U2QmmUWqmtWEi2FW9oaDV6oXVTQtcDjOpYumWBp9oszlBqZ66GCC7LQlkWunaWanv7IEKpkeJ4/tIMIRywgL92JXTbioZWPJVsy6VqsNKwBrWtnsQbFNsvpfNrv3ZNShPvvXdDipEHDy/5nt9Q2G63bM8vuHwUSbkRNBBkAInUpVDmCVUlpkh2Lp/N5oxx24gxU+OWFvcATNfXLLunzPPCBx885tfe/4j9zY4nHzzm5sPHtLpQlytgB4c2xvjvE2ABoP20Ye5C3kzMuyuWTWBKjZubAbSSxg1FBmIKFv9vXp9XFpZlpnWLJyzTntY7u2nhemdVPcvKM6Br8YcaYNMHe84ZGUZIIyEqWRuxV2KDHq5prbiV2BDjQCFwM4+UbipVsAjULXLHiR3l6dMZmIEbBHh3X0mbDecXlaqB4ezCKnilEEKBYHHw3W6it06K0WZ8CJQe6JJIqSPzjGwWUJhmQ9LO88LVzY6nT6/Z3+y5ubphur4x0oc2+XWcimK1rRVVYSkFNDPPhrSp80AZI/M8EaOQiDA0AskzjB6fb5VaF1N+WZjLQmuN3X7m6c1Eq04yMZnyg3PyhBDJKRJiJHdlXCpDaYQuNDH2kaSVuEwI1SObEETpLTKVSFVPNUe3CrfIayjXOooCtVb2uwkAiZnhesdQOiELoRrT1Dwt7HazFWrGSM62Boa4kHKldSHVxujxfwuj+t49RIac6UNl3IyM2y29JWop9HVN7CeVAx5ckTQShgHJmTzYlhTvZ9u6UpsizQJLMVQPXpnySyksTog0+26jtsZ+mpmmmVYb0zwx7/duzYJxC8RASgmRSKqdYTMT80yMjVEjg0ILgSSNoIkW0wEiFmKiSyI2QwmVA1roxfJalQ+w20/8yq++T8yR8yc7nu4aedwQhzPi9gZCZJ4q+70xc+UhMuZEjIGHc2dpkZwHyHvyxvb5pXZqFzqRcbPh4YNLNkNm+tY3zDyXhavrkf3uBrRDWaA1JATSMBJSIuWBzeVD8rDhwYMLhtFj/hKZq8LSqBQ074m12DruBZzLtGe/u6LVym4/c329o7bG1c3Ek+vJlpT9jmm3M5BJDqRs1uxmV9hsF1LK7Bblya6RUuTyfM/5ZmOAljGy5ECImbydifkMiYk4NkIaECBo9zqIF8trV34pladPryHAUqGHDXlciGMlTZjy5860t7TsOCQ2oyk/pg3DMJMHOJvNEbMIn9K67YVzymw3G6IIZ+fnnD+YWZaFfW1IxatlImhBYiTkM2LOpDGz3W4ZNiPjdnDOwGieeQOpCqGRipVx1WbK756unfYTtRV2u4nrmx21Nq53Ezc3E7U29rsb9rsbVG1Ap2zmvvbIXAMpFzQOFNzHUUV6I0chtYC48osmQjarGVpCkm0zpFn9wW3y2pUPln4U3yObt7zmJ7uRF/SV4myNkLm5k4QG5/IL6UDvFlMmDUpolTpuLNUbIueXD7zNuCl6e7ZFW6PNM70UW1I2G1N+SmzPt+Qhsz3bkgcbAGFFCKsXaja1SF8z4sWVuaN2pbWVkHE9rKLGdixC05U3wPB2ASitE2pFEeZSSUulNWWfopMvCKEFehZCbCSdiIMgsRE1E7JF++LKFXSLvH7lqwHNlUBvVtasDaR0QqiIqLN0AYgDOLZoSPR4hqYzNFvoU9JI9LBvHjf03ol5YNhsabWRxjMefuNb9NZYlolaZkvy7CbKUggxMAwDKcVDWlnEcPrn5xvyEA33L4HaoVelLx2p4oPB9vZTtaNWZSoWcCmtM1dlbkJtgbnbYQ6iYQBDEPpcaToRY0XjwNIjKUbKUri+iaQgXA3CJhnB5HhWScPWSCvOFgd8CmOMlju5RV6/8pFDSkpVaCtRR1dzyIJFzNQr6TuG4BFJ9JAN4Ruyl3xbEUcKxkywAiSCBFrvSMyM23PDz7UFutXI73YTy7wQQmAYEinGw8xWVWIUhsHQwxLW6/CwrVunQ+xejRWrNLMGxa1AbUrtUFWoh5m/wtDF4NeKIZqkWl5jKfRYiaEhvdFKMKauRVgSxJjZ9MQwKjFXmiRyM6dYhkyKnxPJ82VLiNG4cmNie3HOxcU5aRyQtEWGCytG9/p9kUActsTxgpgS5xcXnJ2fMwyZYXNGGs4sDq7Nom6qxCC0wVLJ4zhSFlujtZVD4eW4mSiLBYtSisQgvm+vDhB1Qgi3o6oYHEuaESx4Tn8N8XcFFcPVS8hIGog0W52iEUKElInDiGo/1gYEOZRoG1RLWEu6WhejWlNhCXJIRFM6VSwG0ONMala0qr1ZSPgWee3KT5uRi3ffJY0bLh9c8O43vsEwjpDPYXgEIR3AGiIB0ojkLSFEHj645NHDB+ScuXz0LpvLd43QuC9ELYZz88SIOmjSEkRr7b1BtFotXjThOTmxvy/TRG0G+pyKVeP2Wijznt4qrStLgXbg0pUDLrHJQA8JspA2AWmNrHtStS1il4imgUOpulrxaBoSKScr7AhWKqYItVpuO0igqTDFQKhK6pW4LMRQGWZTeEqRs+1ITm+48mOMDNst+WzL5vyc84szRle+DpcQs6F0hkyQgEZf30O0mX92TsrJZ/7WHqAKqZsyhtH26WAoXQNUqmcKHQvXq6F0dA3vdmotTDkagqZ2+lRtC4kis9rSoULVZpQqh0pij+c7ERQhE1JHJRJiPTiMISXn4cOh2+rxhURI0SuBACxv0KVRcYImD99KhypK6I0QOlUhxUpOBvCsw5dHvPyFiAQhecg258QwDORhsNDmOCJxIOXsEK1gOXAZbE+eEzEny3l7ZCwEIejg+H/owYgbWdE0h+rXtRDWcu7mI0Dr4j8NvWvrd2cpxWrvl4X9frZBQWTWRFMrKEmutNKdDbN7Xp0j1AtH41id3lqvG/0KLGPXxZg5xLBfBgzvanv3rnQNSLP0ryHdKzEEmkdAa7afLyvQf+3KjyEwjpnNduTsbMv2/Jxx3BDGS8LZA1f+QB5GK87Aat9FhHG7JW9GM3XDQBoGK3aQ4UCi2rTRtDnCydg7UCVIdRi1q14ijcpSK60ai+VUlVo7c6ns9ntLEu0nHj+5ZplnGoGika6BnCObMROCZ928Sqd1NUfQlS4rIaQcWUkakSo2cGpItJB8MCxHoEZfOX9XAkY/jzOExxgZx5GcM2MOSG9shzfc4TNO/Ogx+0TKzsU/ZNIwHJU/Gk99615giRBTJMZoZjJahOxA5CwGndK2GIExSsDWZnGyEwm2jkpYuXeDm3Ke2ZdXp1Zdw7bTvDDNha5CUVNy79nYNGOwknujEj+Z+Sun35rGPaksMjI5R/7YzDfSZytSVWDlXLP/2gky2Jg+YzQGsq4GMK1DpYY3PMJn9rj5mqscijUlW91eHOiSKT169M6QQAL0Nhzw66hVvgQ9QcVgZEraFvsmWQlfFPGOHdo7Wqujfyq97OlloZbCtDfUzzRNXF09ZZ5mbnZ7Hj9+yjTNFptwQOUwZHrd2DYrZkL2wdqaR/46035ini22UJZOm5uXkFlNIWKYv0UNEBZZCCxWz9AtpYv/RVeyaF+mQkz0nliyULIRW83lDTf7qKKtwkqvLtGIGuKIpjNII41A7X6zZaGXnSl/HKCdW667dYsLRDkyenVsS1cs1btCpoyOfUHUvrMvC600WivU/RWtWDXN1eMn7Pczu/2e997/kP1+4vpmz/sfPGbaL6zkQCLCuBmZzs5IKZKGDXl7bgij0piL5fD388Rub1j9unTq3NziDMBg9f7LQskJESXJTBAv6WqGbwBBnWdQO2gTtIkBYAZBopJzYD9b2Pg2ee3KX0mPdSVLtLSErWkhgiQzh+pw5G5UaCLOk7cSIq6FD11QXR28deZXwJy/IMFmmTZD8ax8O63Sa6F7355WForn3OfJUsT7/Z79fmK32zPt5+PeXKw0K4dAS2Z6JWaL1ZdGWZoROC0LtVRDFhdj8jQvMBzuua9AaFGQSgzG5N0dw79iHBE3+1WMZDcI0CAYjCukRr3d6r9+5ddaub7es1RF0xnDxQ3jAps+cp5viLmyVGFXPPAyPWXZP0FQ9rOy2zdSzpxfzlxcLp7qtUO108sNvewRIEfbjkU6g+5JLNTaud5PTHOl1IXr66fM88R+P/P++x9ys9sx7yeefPiYeZqYp5l29RRdlmfw9GUe2c8zMSaWzcQ8VeSgfOP/W0qhrczcS4VSfUG3mY8EyNnYHAR6Klb7hxFFafOiETEiB3tTXLHtZjVTR1ugl0rjDZ/581z44MMnhLRjXzMtf8S4XXinCOMwIsPIbhLe30Gpyv7mCburD0EbZ9unnG8/IqXEO++8w6NHjwxMKZGOh3i1QLeGDNsEY1QijS07BiZKbXx0NXEzGeTro8dPudnv2e/2vP/ee4bwnRfK0yvasqBtoVYDhBwdONCwpcYLkIRszpDza4jJ+PiXamwd/RhypixQ5o8rPw12CPQRNLujVxpek4VztQHOZSTR+dg6MBukK2S0fs7Yvoh8P1an9z3YV/+oqv7Vz16s+az03ulLgWZ1fPtppkvifJ5py0QSpc7CPAlL7ez3e3a7vYdmLbmSUrLyrpiQGG3rpHbj1pysWSlVVporH27oTCy1sbvZc7M35V9dX3OzM+VfPb3m5voaXRb69Y0pTAvoHmv5BavyDYvvjqqKcwQlo9xe2iG24GR/pviyIonWSEDwvZ8e/Ald/1xOqn9XqlhxWk7H6tOrF3AEW9W+gBLtCvxpVf0ZEbkEflpEfgL4YT5DsebHpHeoBVqnXD/h+te+wzyM9KsPKE9+jZQSN4vwZLLt1zztmKdrQ8PmgSUPxBhZ3r/g+uwCWffZB5PXAes2NUQjcwo0BiYyM7V1rqfCvFRKrVzf7JmXwrIsLE+fovOM1gp9OvoJz/Camgduj2mywVErTMV8lnW/eFqzhZqiDu0QZleFQE/2uwKLpXqtfcbKtLH6CGIz3scMiFFzE4y3KHajcr9FXgW6/V3gu/77lYj8HNZQ8Q/Dpy/W/Jj0BovNgLnO1OvHiAQ+ioHvRkutWo7cmfk8Hg/K7lDYKYQ4EIPh9iGiz613FnaviHfVCiwITqzYj6XObWX+8BJp9UaJrFvKowZPnxJQbHAAlLXTgRyV/bGPnJ5Hjj+7f6aJMYE5VwG6AR0P92cOYjINBpyCa7GfOaK5WW7hFvlUa75X6/4urC/8KxdrvlQ8DKnVYurw8hYhHxefMYeHc9KkEcGeqC0BB2W9lKnu04gez+dcO5/rVHDIZnoxOIcZf5zuNnloOMHwaujA+Yhuk1dWvohcAH8H+FOq+vSU7+W2Ys3TKt0vV1YItpz8DsdZtQZTV7DmS/ZBb4Ss1wy2NKwlWBlbGhyCRjM6FgZWU+C9OG49+yspX0Qypvi/qap/119+pWLN0yrd26p5P7+sSv0kkef+9jYoHo6DdB3MMzbFR2wABJv5Pbuj+RAYDoqPL1H+S0i5QWyK/zXg51T1L538aS3WhE9RrPnlir7g6M/9+22UU8vlpv7034fOn8eo44E48gXyKjP/vwL+e+Bfi8i/9Nf+DJ+xWPNePq+c+BYohNG2lcmBrGIUN8PmjGFrjaVvXnCmV/H2/wkvLvr61MWa9/J55cRxFXUe9gwps7aID2lgsz1nc7G99UyvPcJ3L59FTpYu4ZhgChbjD95i9Y0HcN7LZ5GTfX40Zq6QI5uLSBoT4zZwsYHN8KandO/lU8pJHEOSxfSHSBwT24vE9iwxjJGLLWzGNx7McS+fXjxwJXJIK8coh/ZqOdqR3nwkz718OhHvsOSm/iyRt4lxDDzads7GwjAEHm6UcXP7me6V/7aJYO00UiQMke1Z5Ow8MrrCz8fKMCYebvu98r+Sslr94F3ConhjxWM3jxjs521yr/y3TQQrDknWdyhHGAJkxw7GcUsaB9K4sW7jt8i98t8ysbpB2+GlE+cux0DKG9J4RhoH8rAhD+Ot57pX/lsoIQgpBlIKh2onQzNZHUNccYyfF8xxL2+I+PIdU+BsO3J2ec44jnzj3YdcXj4g5YHziwuG0ZozbDdnbMb7mf/VEbFZv90MXJ5v2Ww3PHpwyYOHD4gpM2y2pDQyDAPjuLFq51vkXvlviYRoXn3KxtA5DtZfIGcz+VbGbs2kU/L+fW9Sg6V7+WwSgnB2NrDZJsbNhm9+4wHvvvsOeRh5cHnO9mxDSpntdsMwjFb2noQY7mP7b72EIIxj4uJiw3a74dHDc955dEnKA9uzLcM4klLmfDsyjsOBllXuw7tvr6xNNmKEnAJDNobOFE+8+mCtXNceQykayFMEQwjfYvnvlf+GiggMg1VvDVl4eJF553LDuNlwvhnZ5MGYxvJATiPDkNgOme2YT9i9+62otXvlv6EiYkGccYRxEM63icttZhgzm8E4imK0FiwpJevZmyNjjvTWWUqjvgSveK/8N1jW3o2n4HM9/GbgTdHmhxzay/aT9m+3yb3y30TxxE0US+DFYMt3aSBN6a2ibQbpxJ5JXQktU0tkXku3JBhbxy3yKtDtjYj8MxH5VyLyb0Tkz/rrv1VE/qmI/LyI/C0RGb6I+/7ay5G55VCHab37nN61Gy+BFWUWQl+IfUb6QmuFUq25A3AAerxIXqp8rFLgB1X1dwI/APyQiPxe4C8Cf1lVfxvwEfAnPtdN3wvgpj6Yh2+AzAjBeX+UA41cqUYAWb1FrA2IdVDY72u37RfJS5WvJtf+z+yHAj8I/G1//dvAH/lcd30vZuoTDCPkQYhDtnZqabSefN1asuymhaubieubmf3eWsgs02QkFHUHdU8vE73M9PJ8Q4mjvGq5VgR+GvhtwP8C/AfgsaquReq/hFXu3stnFTf1a7o2BqOmlZhs5ovQFKQrS2nEuaIdllLIKRmnYCtWyh2M3OkL6aipqg34ARF5BPw94He88j3dWaHm2yXi/xM4UBBZQMdarqxIHKN19fcZ/Zb3DDS2kVqN7WttNWdM4QrdO5HfIp/K21fVxyLyk8DvAx6JSPLZ/xuB77zgM3dUqPl2yOp+hZVvSg7tAhARhhzI2fgChxQYor/Xa/K0QVlm5wyu5GFEJbE0RUKktm7MHKG+lJzhVbz9b/mMR0S2wB8Efg74SeCP+tvekELNN1tOHHmCuCfvzl1K4lxMR6BGXLF5PvPFmcva2jquGJvIUhtLaSylMi/GMjItxckilxdez6vM/O8Fvi1rn3H4cVX9+yLys8CPicifA/4FVsl7L2+RyMucgi/0y0Tew4pG37+zL3298k3ejHv9zar6redfvFPlA4jIP1fV332nX/qa5E2/11cJ8tzLV1Tulf81lteh/B99Dd/5uuSNvtc7X/Pv5c2Re7P/NZZ75X+N5U6VLyI/JCL/1jEAP3KX3/1lioh8v4j8pIj8rGMe/qS//q6I/ISI/Hv/+c7rvtZTubM13yOE/w4LD/8S8FPAH1fVn72TC/gSxUkov/eUnBpLcf8w8OEJOfU7qvrp+Ym/JLnLmf97gJ9X1f+oqgvwYxh581svqvpdVf0Z//0Ky32s5NTf9re9cZiHu1T+9wG/ePLvryQG4Esjp/4S5N7h+wLleXLq07+pPsOx/kbIXSr/O8D3n/z7hRiAt1FuI6f2v7+QnPp1yV0q/6eA3+6o3wH4Yxh581svbxc59VHuOqX7h4C/grEI/nVV/fN39uVfoojI7wf+MfCvORLk/xls3f9x4Dfh5NSq+uFruchPkPvw7tdYPpfZ/6oGbb4u8pln/lc5aPN1kc9Tq3cI2gCIyBq0eaHyzy4f6aNv/npnk7IuEIdu0N5IVdbdkIMVrcZcvDvWSfeIFdTo7xdtx+5WKy/t8V/2U3CqEutbvRYy+r+wLljHZsvHzljKcadmvWyPU0ZOfqytVU/2dI7JVo73amc9/t6x1vDHs+nxs8+df31djk/KznMo6hRvI2vNaQH+73/7/33/k2Bcn0f5nxS0+S9v+8Cjb/56/l9/9n9lu0m883DDZoiU2plKpTUlhc4QGgGllZky7dHenG7M4MwpW2v1IEKSThZFtBHLFbE8tUcSMsRkvWakE0UJAmOKDCkQ6WxCJUtDJVDDhibZe9YWeq+sDZ5VrdduLxPaGz0M1HROl+RVs+JNLhMhZmvdrkdF9bihp601Sa6NuVrz5NaU1judwF637PoZIERpJGkO4h/QmO1cjp8VCZBGJGQUoXahqRACjMlw/701ylLo3kP4f/ivf8N/+iR9fOlVuqdFG4+++T1sNkYmlLznfSSQiEhUonQC1iQ5qJKyNUqOQQgx2KyP2R+yILL2mAlIzwQdTBUSIFhvqRgCSQwTH2JAwlohgf2ONSfAe9pLDATxPrwa6J0jyB58NnL4HlmrLXzmqluOw6xWa82uEk5aoOszM1nEGLOtYZqfSwSV9VoDItG/KxzuQwGJgaSBEIzEIUbozTqFt7We6gXyeZT/SkGb06KN3/zb/3N9dDmSU2IcBlKKSBI0B+s8rY2gBdGOhESMAbSbeRe1mZwHQh4JrnyhIdoJUomxI/RDA0QRGFIgR1s2YohICARRazkeOuIPe33oqtaYuPdOAaR3ehNr5igBJJquRY33JmaQYI0f9aj8vv6slSYTEGgSUW99pnTrjIo1dx6CeDGmoH0t30moWxMJiRBssMWUjGBRhLDeUxAjYVpnfsK6dH9Jyj8EbVzpfwz47277QAjCOEQjB47GJRMIxJAQAvSKdCtJCnSEfFjHxfllJEYkRAjiihMfIMmPDt0JC+BAQiwih4dns96rJtTm7Lq8I+FQ4xaC/x68dPa0maGLtVD3We1+gaq1tFWETke12Tos4dgX8aTdmzi/niLWAl6wJs2nMz8EJETE26gE95mMaNmUn7NZgC5Aj/Qvi5lDVauI/I/A/8ExaPNvbvuMgNOJRFLKxBgQDYirmuaOjwJqfzMLuTqDEN35C77aCmozWYLNgtUV6h3zvYSOeMt5+xdw+LR5Z92dy5NmbN3W5NY7vfVjS1yrlAe6K6uh4g2hq7FidFXq2oWV6K3MhRaUFjiUW/vUJ6Ag7p6ZmUNFzN9Qawtnz0kIGojS/TkEK+j0Yr5mt01rsBSo5Uvk4VPVfwD8g1d9fwiB7cZ44lIeD+tWV3OaWoNak/WvlW4mUruVNsnxHMFH9NoyWVAf/QNCJzQlyNHzr9094W7OJCGgmrzZcodWoFcUoRFQMTPfarWjK4sPAHEqFLDB1CQgodNqo5Zqn+tK6d0sgFhfX5VAD5UW3JmTdFjHA939l+DLvfi1dForrB01gkIUJYuQwrqUKRJsSC/dBkApsN8LZXmTSBgFUrQZahRi0Q2pmUpRG/FdAhrMaWO1uusux7dqp3Vv4q+vDUQP28HV+cI7lwOHmf7MWdbX5GApurNgmOOn9m+3Hm6nbFb21QJ0tFfr7t07rXVf/zsq6n5BoGs8mHFieOYeVJRAQFUO1+p2i6OtsiOi5hjbrtbux5XfunVuL1+iw/epRSQQ8saUH5Otc4o9IFVUxZwobO/dYzLHzb1jAV/z3E2TVRHuDAreWdJJifzByLrnF1OEuid93MaLHUDXTseoT1pvtNad1qzRbSGnrRs8DQgVglJrZSmF3pXarWxaFS/BxZRPdPPuQ1Ld8kuEMNj6rj7mFeK6XEkgrvt451zX4I6mD3hVt46+WchR0fglrfmfSSQQxwuCWPVpWNe1bmuooNb7XTo9rIPDR7u3Cw1ONCgIUZQYzCeIuvi62G3mqq399tD0MLNU1i7la9v0levGgyPaQJXWKrVWajOzX0ulrQGpdR8XQLo5ZrVW5mWh905tjVKLXXsciMk1SoRgS8a6K7DoTIa0NYvglgUgdJsUiHnxYeXYiZmeNgeLQVfbLgbrsRgTtKSE9ibRr/r2Bdattoem1uiYz94uZsC72ExZFW+nWPe8Pqv9PKIR0WhTSSIqEVA3uUcroNi2Uemsc7CvbuC6VdNuxEeqZvp7p2v3qJl78op9UqyzZXNLYSbfeHJUzfcQbYi3Nff1zXYv63diW0jbz3fnVFDfbRjLhvuBHpW0HYC9bV3Y3MD4YI9izuVtcrdmHyFINE/d9+9uEQEnK+iBLh3VdLz43pBeAbXGAjkZYwV68PoTSvKFr3b1gIoiQdeYDiLqte5q5no14BLNGmjHd5o0VRq2XWpqzmjr3UmRxNfYDs0cxdoqZSm03t0KFLoqOQeyNCy21AihItpRib59VVafHwJBG6E3d+bMwUXMknVVX+7WQeAWq/u/BaTbMiYh8hImtrvm4RMkZAvmdI9oi5Ki3XpFiCr0vvrxFkKVXpBmysw5M4yDmcDefRApkUAkuePlSz9q+2E/f1gdJO3QZ5/JQmeg0VFplK5OdwZFEx2hKpSmtNr832tAptG02U6lVkpZ0N6ZS2U/LXRVNpvANgzGtSOFFGakR4JkJHSzSqzhWyF0SM0GyzhY16yOMBdhsfHPStLl/iatmeev/npHCCm+tIX6ayBhXEMz6s6MnpgrD2/6MqA+nEWP3PFRPGjj4Vvpetjbi0dsRGwWrYvi2kZcRD1SyHoFgPvRsjp9PsvW19cdgAduOnqYhV2h+pauHSjR+oEirXc1qrRuUzOsJwm6js5jYOGwAh4jEHavtgSW9bH4s5LTj+rJqU58vNs4+OCula+NvlwdwqOIeddzbQi2RVqTKn1drxHwCJlgkfyqEPrq4YejCtft2tpU2Ff13m2JqSJ0sa8OGhAiSqdh63M/ZBjXTRaHvYTx4aknTRZa756Ush1BKYV5nm0QdKU0207WLjQiMSY2GpA0ml+jSujGsyNtgbqzSKF0a5EqQpUBJKNqASISiBH0seo4ii9tYltlsQgV0ivhFg4+uGPla2+06YndwJCRYNxyxWeJcch6Rk06iK3JQY/msWHrWhdPz4ovbKoH50GDWMxRbR1vvlb21ZKwKj8BjabFYveqxxmvRwtgcYcESeitMy8LtRT2c+VqN1NqZ55nbm72tNY8EWQh5al05iaklOghk7e+Q+mKtAYqhDIR4jUSIjoMkDIaIkscWdiYRUgdiXr0cm3ukMKa3PJB2i2ZFPpyyOq9SO7Y7Cv0AkFRzDM/9axF1UzjIQQLdlNuoMVj524jT6ylxcNftK09Cfas9gBsiTka2Wct8OG79bB2+L85bOdqrSxLpdTGPBfmeaG2ZjH4ZNE7SY1Uqi0R1Qf5etjJEG2oO7Ro4pD/R0DDMcYh3Ze09QKfvVp73R+EniwtL5A7NvudUG8QTXQqNUTLhHUHNmij98IRwBEOa/aadg1qnr94jP+gJum+P7a5aw9QfVvmD8f551fPWP1BdklosC2dioErGpWmleoxgNItvTtV4WZXmabCbj/z0eNrllLZTzNPr3fU2iBGy/YFYbPtnE+BlBKLjvRwQ8qZcasMm0CIETxjR7AdThFLIasmNEVL4MgaxOlILwRfqspiyw4EC/yESK9QF77UlO6nlhV0QUu0Vugh+h47+NapWZxduycrHMETE0K26F63w6J2x9EtcU28WSBndepQjgPAOWlFBE3Z8vYIKtm2U6HTxMx8B2ovtmY3obRI68JU4GpX2d0sXN/sef+DK+Z54WY/8/hqT3Hla7JU7Pasc34RSCkztUyTkSFnLi/hkmjpWRFyUAiRJkLHWTd7QrstH0OMjjWw5SKq0ppSpsq8dAgJycbr1iqUxR7lbXLnZl9bQRRUqke51lCrHJSzxtlt++ImN1ie3UxE97ioK3+1+/4dgkO0Trzg019WQ3kSabBrUIDggaHIMaWKOVniYWe16+1dPI6ufnRq6x59sKxiquYYKvazFEvi1Gbxf5FO7w31adp7Q3qza+od7R0RoXt62Tx6CxYdAlJqW95DKBwOu5Hb5E6V33tnv7s2YEJezMFBaLpGq7qxRqsBJYI7TSSLDUgIFuzR1eybt68CTQJ08/wtCOP0oyFavl7VlKIJJNCCOZy2NgpQLbHiwZeeGj1kgm/hpCyk3mgaON8VwnBGSzu2NSPzQh/2TDwllmLWzNOyMRvkipCpDEw60HomlUCaG7EqDaF1NWRTi8SKMzDbmi8SbMfTLG9PVzR4ogk1sEqAlDohNSoNjZ3yJoV3e2vc3FwRYyTnkeBmv7kjdYzOKCEY6EPEIFqRZsCJnkEd3RKNt1TEHvYaHzBHwcAXIh7hU2gnjpSG4RApEZ/xAoQ0IGIDlbz1fH4jloneGl0GzmeIm5mW95y1LTIVer5i6pG4LDTt1N4AJeYBYoaQqJKZdKT2TKyBODdisN1IbZUQArkJuTaIGdGMMCDB0D3dk1okoYf1Po21MwZlyJ0UG0UbLXT0TequpSi1Lqgmm7HRw6WrsdJjHF+100lmFoOg3QCMhoUzbcq67cGXg4MHfEh5eFx8NYbBZrl/Ttdtouf1Vyie+RPdBpvnzUK3LFpMjTSMpC7kEYax0kiU2hi3eyRGWm+EZstaHkZyHggxEWNGQnI84BqY9ihdt3xDaPZZUUFatUPliPBVcZ/En8FJFM8iputhIJfb5E6V32rlyQe/RkqZcdwQ07PB5+B7d1vjzGMWCUgbDQ8TwpqysiUgZkiWChU2h6if7XR85q8pYs/J0wAiEgaIgzUlCGZeu1hYlBgsdCzFM2NKGM5tp5AXWrhgUwrjXBge7iilMu333Fw9odbCvBR2+4neOykP5NHS2JK3hOEMCYFthjGrJ5vMH0Cg9Ym6FFuuKsi4EEKg54wmx/ENA5oS5qvYQMqps4mdGCybmKXCm5TSbbXw5MP3SDmz3W5JMXmyxS7S+sJF3/ZkU1AIhF6odDRGSAHpZupDGhGtjm2LhDQc9sgr1k7E1kMDYnS3GBENAxI3qDRoeBQv2GBKyXGACyE0wyG49x42DTYzrXYuWuVBWei9UcrMsr+xpW235+nTG2ptDjW3zy5dmJvN+CE0htAQLDq4lAW0U4tt40QCoTTCvDew5riBwZZK6Vs0j3avkkESaINciZaRZhAIb5TZVzP7ItBqAveLTSHQNB4BGSoI5pBZ9K3Tu3nY6779UPigegz9KHAw83DMg+rBCz+mRFfzb4esqeCw4qjXn+E4wFSI0eIJGgJNAl27IzDMPygdhrkRUyOmRMwWuOlVqCIexlAMqraCSNStUyOopYljrASphKi0ZK1UBPNHtDdb8oLvXU7C0rD+6Q2K7ffemG6eUPOA9kJMmcAKyICYEkMdHJ3aCdmSNCFGYh4IQY1DXpPFwTWhWB4/6XE973igy86Kqm3jmigtqKVTxZwwVNGkjo4J9DRASD5IEsS1gMK3fjSiBuid3kGypdMkTYiMSKsMsuFSMq3VA6BTsRqC3A3mTROWZhnIUq17hvZGWWbqsiASSBshDdjyKFbn0KMS60wIlu+35gyW7OokFiKIrY4vodt/ufJF5K8D/y3wa6r6X/hr7wJ/C/gtwC9gpccfvexc2hvT/impjlaMkdIBnydYNU7v3Tz9ZAh3CZFQM6FWy093wBO4SqRrJLjTd8wXrnt4eSY13ETpDiCQkECS+f4J0EQPAYkDGqIBKsXzpiLmFwiI+Pd1pWkCHSz+ECcgm/LjSEoR7QbtmmZL70aNJI2owrJ0SjXY19JM+b1VdruFaT+BCEMJ5FHIOTEMA8M40FFyC8SqSIzEnEghEoOBRYtmgu2ODzn/F8mrVOn+b8APPffajwD/UFV/O/AP/d8vFcXgUa06RKpWam2HdKgdDpf25oCn2bY1I/oslBH01MxzDOqsKc4VrmX/9sydB1BWgKaqAUCO32nnOCCGWOPrbo0cKx8OmPrj0nD89xF3fwLYPyxX3bEDK0S8dQsUFQ8MrUGjwzPxLlp6siU+vfsVaNJVHJpmx4vkpTNfVf9PJxk6lT8M/AH//dvAPwJeSjHWW+fm5oaYCkNphJgJMViDIBFy7XQVYojkUSCNBsLoOPxaCGq1aV3d3Fow3jxxum2LVDyMr1RtBtTAY0gKSLOESlgOAwEFCYHYmqOLYQhH5HD2ny2YL9IQsgZGFZJC0Qgp00OgaUVrdifSbkBRw/U7JrAsC/t5obfGtF+Y9zOtNq53hd1NQYJQKWwwXOC8n5iSkFNkG0GSOjTM1N9VWJpv/FQtnfvCTNcrKv8F8plYprp29vs9MVYLc0brAZuHgRgjtVvWJYaIhkRsVmTZXPlRLD8eu4E7uq7oX/DAK+uef/1b64265nV0fR6CSGVdIlrDoU+B1DshRlIUyFYZE9WBkSKIRLpEd0aFQT3NrIGeMq1FNBZaSO4sdvPGxUK8K+CjlMoyF2prTHNhPxVabdzsC7t9dZRuQYKhk+Z5ZskCOdG3CenhUEV0SEH7fdAVLSsw9sXyuR0+VdXbGiedFmputwO1VrtAaWuGlhBtHQwh0rpF5Q7ACj0x1Yd49hFc2R0Zc/hdVsXroQnhirlvzapvVM28tq6+A7EgSwiRNGRCTOQolDExpECKwtkYSTHQRekxu0PJMYOKG2ARH4aG/7Of4YAAah7QaV2p/rN1PS5pakj9Nd3cnznCQdGHNPS625HjIniEhn85M/9XReR7VfW7L2OZOi3UfPhgq1dXV4SYyUMleBfosTaiKz6mgUaApsTmMYCmpN4ModOaRcH83rqa12vN6Gz72A5LgzJXZa62bu5ubtjvJ5al8MGHT3l6tae2zn5fWZZGiJE8jsRknaofXW7Yjpnz7civ+9ZDzrYjebPl7EEiDZEKFIEmsIgwE2kaqAyUcEbXyiKBhU7TwK42bmbLxu3nzm6261oqLC0YaFQiKuZ8NhloZCqJJiMtbKghUiXTSKhGgmMCAp2UGiE2Oo0qlc4tC/7nUP7/B2OX+gt8Cpap1js3uxtiHMgVm2HZmgOGGCFGhtbJQQlNSU3pokR3ilQ6oTtWTm2p7yoGY6oNKd2sBivaFebSmKsFUh4/veLq6RW73cR/+sVf5Vffe0wpjaurmf1UiSEybLbEnDnbDHzznQvOz0YePTxnaZWHDy44v1TC5gGbpFSBGszsV4SqkapKJVNkpIdEEaVQaGoBnt2itKrsF2VfzBLVCtWBqw1b8qwgI9HIRJINhDBYXEGSvY9gJWTdIORBOlkaTboViMrnNPsi8r9jzt03ReSXgP/Jlf7jIvIncJapV1G+qlJKo2tFQiWoec41NSJiZtkx8t3NIV1pzfrGRoUQK60WJHiVTzBHLdSGRE9/HnYGyjxX9ktlWQpXVzc8fvyU3X7i6eOn3Dx+Qi2V/c3EPC+EGGnLhpgyOg2MWqi7DbTOR++8Qw8ji1TyZaVIowWhhk4XoVQoTWjdCBOWHugNag+0HmgazCJ5wacd7pkTHCYuBtYIhtg57BjCil/wimBfBlDLBtLM1OfWDA/QLE3cPm9WT1X/+Av+9N+8isJPpffO05sdKWaG0fbzw7ChqWHcSInNstiKFQo6F0KF3gO4dRhKpbfi26gBwmAY9QJpMeBjaxYwqa3z5PqG65s9+2ni//qF7/Dd777HvNvz0Xe+y/X7H9J7oZSntLb3gJKlelM444PxW6R4zsWv+x7eX7acf0t4+ED4vumC8wuDhcdkYFGJGUkjIoG5JKbZGh73pdJqRpuwL5F9gVaVqQhTjfRuhaRVIyodSQsDCQlCHkYLDycDgAYvT28kimakC2UGSiWFRm+NIYnFDopPns+j/C9Seld2+5mUDOEaY7KYexpIqiRvEigh4FOJ0APC4pFAC6EGulX4hmqmLUREB0Kvpvy60Guh1sbjJ0948vSam5sd//cvfpdf+E+/TN3v2f/yLzN/8AGwgH6EdXyziKBFcy6AJwgP2D6p3Dz6LWzLBe/sMkueuNxFchQ2o5We5Q1sLkZCFKYS2JVIawFqQlpCGyw1sFSoFZbm1sEtRfXMYo5CFkvdppw9Gxht++lMIEqkaTTHT5WunRwgakGTWb3SzLLcJnce2y/FghVoJQSl9YCGmVg6EgbGzUxpkHVhTIWQvFq2m/Krb/vMHJqnLyESGAmMgNBd+aVWdruJm92em92eebej7nbUybpMozNQgMqKgDUJoAWYUBK93TDPN8jumn0O7K+viDSGbBG+GANNFkgzIUaW0lmWRm8dygyloM2up9ROrWsgpx2CPLV7KZe3PbetXnXvvjMvhWmJ5NbIUQ7JsBVVRIBFcDykB3nepNh+a8qTjxY3r8UzcxNxtId2fjnxdG858LPLysWSSGkwXh1vKpxSImfLksU8EtOIhEQ+n8lni838ZaLXhVIqv/L+Ez54fMX+ZsdH3/lldr/8y2iZaNN7wFNM6QvrZg0PDsOE9UN8SpmFJ+/9AjdloVxdMPRrLs7PGLbnnD38BnEYGYY925s9MQZK68ylWcKnzuiyQ3vjZrfj+maitcp+P7HfT14HaFtX8MFSZ0RgyIWcIzlFWi1M00hOgWVKXGwiK8jVDmFK0VlILCbxkpqNuzb7sNs1PKluEgtky1/vF6gyMgwLFy3R0wV5aJwQsBCjrX8i4kCJkRATQxXG6nVty0QrE0upfPTRE97/8Ip5t+P6w8csH34IugBXwPUnXOU6ABbwoFGrG/ZX74FGpN7wZOjU3Zbh4h1KGEljZ8iRWhZiFKrXIqgqvS5omei9sZ8m9stCa439vFhJl8dfVWzL1paFXhYEyLmRUyDHQBKr/x+TRRZDdaqZGAmON1xiMv8nCGM0Sprb5DWUaz0nvk8FaKWy7Ce0dmLakMYdaXBUi5vkGCMxBYIEhrEzbiDGBkMhbiwy1r1qpndLFaco9BjIYyZtN2gL9LqxfvOG04Vn9sQrHmBFCYlvH9b25Wa2Q620Vgit0KQZjDqIYfpbtcreVuhloWunLIVaq8Xq10re7tsyB2C2Wum12hWIEsR4i1or9Grxi1qEGj1XcKjujRbyDZ0gQjNMyq3y+pXfu3lAIizXNzxdOiEknj5d+OBJM4AGASNCgJACMRu48/zigouLS3LOvKvmbYcQTPmt05qSY+DBNjHLyO7dhyy10ZaF+XGkXI/Ymv8U2HNU+vozAwk0GtXFstCWzG5aaBJpaWKYrkALTaDsbYC2Vqll9ujikaWj1MJcPFY/zSzLdGiF3pohcFop9FoMR9gC2gSNgSUtzGR6hL1CWCwaWLoFlggRTWcQB7vyoAcqmxfJ61c+HGd+W2iLx+cXgcXBjwRTAGL8iq78uRgAZBgGNucTF2Uhxkhvts3RbqZvky3nP55tGR5cUqeZcjNj9cwzsDu5mFXxEXs8Dhn3cuxWrVW5pkoqhVYmWrQy7uLh1FYX6jJ7zAKa5xlqq5Rmpdu1FpvlvVPLQi2zLxP2HYbTFGfnEGrp1NiQqCyipGYO3VwDpVvBR88BjVaJnOhvifIPIpYEIXoyxEkLVoUIIBENEY3BEK5+hJSJKbtPYHNWuxIClJzIS+XROwphoC2FbRiYLx7Q+0wtG1q99pi/+FgMqGYDi5y9Qzy7QLZnDJsNMdv2C5FD4EbX5Us5LAuq/cC0qWrFm9UJHJZSKSuBU+uHRFTvdt1dlN6EFoXQ5JDeFfCcgAWxLHVrHr6G4nF/y4/cvst/Y5S/wpAzxK0pPm0MYBmNtNBCeYLmAc0bo1cdL4mbS+IwkDYX5M05KUXGnBhSNDN6yIcrD785M03VHK7dzDwXyrLw9PEH7HfX1Nq4vllsmwZWoqWQNhds3v0e0vaclBLDuDFOoRgpDXrxUi9H7Bo5gyu2LNRlQbVTOhRXWp1n6jxZlPKAOvKtWqsE0UM9fo+BKXk8IcIQrXyr+0CrHaBZylisKr9a5cKt8gYpHweeOSBRsjsza9DFlG92f4PGaBG1NBLS4MycAzFFhjGzHbLhArscUrmb806ptiRMpbFUZZ5m4nsPSU+vrehy3NOnYv5ds2xi3GwYLx+SN1tCsJRzcPh3U0Gbz1af7aV0lmKh6rpU6mxLQFVh6b4ELIW2WIEK0cqsAFZqkK5Kb+u+SCmtUao5n6XZIFI1K9Cbwb4ti+iFK5xQv7xAXrvyJQ7EcYvERMxn5PEBIQ4wniFnD70o48hxK2kDw5YQIg8fXvDg4QXDkDk7v2SzPSenyGZIbAavknV0jaqyVKVUS59OFZYulGUhxYEHlzcspXJ5tWeaCrV3ZkfThGEkXzwg5hHWh6oQciY6SVLH0B4HRjFnCBXn7RVsqhpUWx16njjy8NoWMwSsJg8lRSUlSMF492IwguVjvYIaTsDTyq2v5egridUbq3zzqtP2gs03v5c4nnF+fs7DR++S8kAYLgjbR0hMXr2zVuYkNGQkBB6cb3l4eUZKiUePHvHo0UNSDJwPgW22Gbo52zJuRlSFpVpNXScw60Al01ul7q/pZaLUys3NjqUslNq42c+UUqkk9myoJIscTjt6q3QiVZKTNjqBowpdO6E5N27KiGOqpFWrMEYJKZnvoor2gvaC0ElJDL4uyiYpQ1Lbtw+BnIyqPsTEytem0tBgy9tcLZ9hA/RAM/VCeU3KPyDikJRJZ5fksws2l5dcfuNdhmEkDBfEzSMkZqdrNQuwZsBEApdnGy7Pt6QUOTu/YNyekWJgzMImGS/txfk523OjM19nvkpkkS1VRsPn13OoM7VV9ntXfqlc3exZlsLcA09KZmmRskzM0mmlGEKoC005gDzV4WDG6I2DRa0mUboVZji42kgqzEM8EEiFAIngXEWdHFf+4HXmO+vIYeZbZNAKR403wJTfnkM2flxeg/K9IGPYQIjks0u2Z1uG7Yaz7YbtdmPKH7fE7RkSMjEmoleo1K6UBiCe5VpTn25qg6+fKUEMNEmUbgOteQxccQJjR2SqRmAABI0Jbd38y5iQpGgxzp2lNEop1h+gWO3+sqJwHEtvDp8RNxjphNMfy4kqVvSNtgNw1N9kKKCAIZIERx/aAKtOBVdqNWyQKqWYA1ubxRFqNXBn0PqmzXwBBmQ4Izz4BmHcMD58wMN33mG73XJxecmjR48MTTM+IJ9/A4mDRa9iQhWmZYFpAVViTkhKSIrGPrWyeQ8bGDf0ICySaB4KteJON8fO5acIXUY0GY5fS0O7ZfckdwIBWmVe9uynyrIsXO9mSinGyVvbIURrdO9QmsUCuitLVwz1oXjEuf2qQ666QnfIeQysc7bRDl576SCtEzsEGr3oAQto0UJlWqwyV7Q7KeUbRcvi+/WQkWGLjGek8YxxHBnHgXE0bPowDMTNSN5skDiYxx9M+VUhFoMvy8rP64mNw8wP0YJDslYAm/MVHXIN/l7B98fBavsMLWJrsZMlSDBETGvGr1eqUasutTkEqx4In4I7brU6UFNt1q5EyrDC6laouM/MZ2b+CsZWx/5ZFXFXA4AgTvIcGtrXYFFz2LdBxEQb9EJ4s5QPFjk7MmhZ3Xm1OHvvB7SKSIIwQBgNvVssVj9NC9N+h/ZO0EbUTkuROUfmnGmpOvTa6EzWsu8gQh4Gcsq+7oqbfMe6I/RSaPMNbZ6s+HK3Z54LN7uZm+srbjw2cHW185nfqbWg7sUHT6Q0B4gesBQOPm3LTPOQrtZmuWk9AVsKaLLAjoqdQ1KjCUhTNFolrkqh4MGipVKaVQ8tLRgnn1ZCeyNn/uA0qT5CW0XrjBYLbpjykxVppnM0jixz4Waaaa2zv57YPXmM9kqbN/StOXzRzWNK6fA8QallopWFEISzszM24wYjbWwEZwCpRLoEaimUmyvKPDHNlSePd+ymwtXNxIe/9oTr3cQ0FZ48vWFZjCSiO42MFYpGN+1yMPW9K1odcrbM6LKH3tHiqA7FS5ZsK9typCdfknKjZqOJr6GRxbqKxD4T1JaV/dxYijpieDRW796QsjOii1vk9Zh9xPfKFtBQBzBYY4GTgI8HeZpWSlVqNQenLDPaKyUGSgxoT5RloRRLjtRSqLUASplnSpmsTi5FwwWgPiua4+EMi99LoZeJVmbqUljmiXlamKeZedox72f7935nyu8NulXXSozmf5gJMNYPrFClV8eOlwnm2T5Xq6GVVM1BdZpV1Bo9GduIpb+7KEGquaza6H1GeqE1ZZ67K98GsH2pn/slpDx3rPwOzGhT+j4idWLSwpMk7MaRoiMyXjFuG9s6cpEeE9LIfD3z5LHl5/ePP2T3wftoK9yMI+NodXE31zt2NztiSozbLeO4AbCZ3xaiCNtxYMwW+Yu2K3flG9lBbY2baWYphf1c+ODDK272C9Nu5uqDK/a7hTLP9OsbWKovKc2s9hqlk+CETE6pVptlBLsaRVaZPTRXobpy1spgxOK30fhiNVV6MvevOBRb6EifEbU6vzZ3syxES/Xh5dplftNmfgdu0DJRryZEIjf7M+a5IHnk6V7Y6QXj9pxvvNsZYmAYRq4fL/zqexP7ubJ//5fZ/cp/opdCyImQLMb+zjce8ujdR0SnQbNCTFCtqFqWbEBJXg5ueDg4OlnQEOZuXLvTNPP4w8fsdxNtqsyPd7S5ostM31274k5SwN4gQkUgZxg2Zs5rtdYXDtFi5dtr1UuF8GSWDZYD55ooPVR6NOU3aZaFpCO6ABYb0NLQqh76PgZ/aPX2Qj1eDbr9/cDfwEqyFPhRVf2rn7VS15gQFCqGO5dISzNUSJuJ3X6iEbmY9rRlR6dSpsK0n5nmynSzY7q+odfFCzWsdDnnQMpWzq2STihXrNY9oCStpLVb10kgZvXLOsJCohKYp4mrp1dM+z19rvSbCZ19Ru1v3KSuqd91zXbTvSr1GeX3E0vhA6G1wzcfMIRRDqckFAhrc6Z+UD4UcKZSR2q68ttR+d2tzedRPgZz+dOq+jMicgn8tIj8BPDDWKXuX/A+uj/CKxRrcnjcXmXYZ1iuoU2Up52b0FnyAE/OaR/9IjklPrhu3DwtLLVTnn6I3nxgI9u3ehoCs37I1bQ1jnoJx5yWHDdPUa14at1+PV/D3FfnD6GWSrm5oS/FZtd+Me+8FscANI4zH0P7rFagRk9MyRGswtHHsfevz0B4xoJogObp696O5Av421blczKInMwCx/KvQaSXlWt96l66IvL/Bv5nP/7AScnWP1LV/8dLPvvcl/kFu7MjwUgJrWtUsL57ItYvpnn9XqvGWadrQkT8FMFy7M+ce/3hX6urkedjil/frB5lQ/XQMOH4kPXkoerhM59wowev/6D0VQ6/25bXZJ3RcEAPHa5xPf8KK1NsPvp6rqef1ePbn0Hu7n5aVX/385f5qdZ8L9X+XVhf+Feq1D0t1Py4+ENcQYytHHygl5BHfkxOH8HnkxdlwT/F2U/Hxgsl+gFmRdrJ79nPs0LKhONgWZXfeMaCrl/sgaVPHJTPySsrX0QugL8D/ClVfSonM+e2St3TQs3bqnnfHLmrS+y3/L566XJyNI7KPxIzfPKwXwfA7fJKyheRjCn+b6rq3/WXX7lS9+2Su1K+7S8+LtZs6lk58QkO/z49x6nvcPq32+WltCxiU/yvAT+nqn/p5E9rpS58ikrde3kV0eeO/tzxigP0Jdb/pQ6fiPx+4B8D/5rjkPwz2Lr/48Bvwit1VfXDl5zrLTD7b6qcaHKNCMKJ8ym2w8Crek/eo9cffDaHT1X/CS8eP5+6UvdePqu4ksXjAOl0i4lFCRltAMSAbAbEGU7b9QefeMbXjuG7l08pFp7k2Dxp9QXiIRdi+AaLfsInexZwr/y3QwQkJwN2rmVn2bl31xR5CIQ4ImLh7rQZLMuI7cM/Se6V/zZIEMIQCYO1nd9uBzZDQgmHUHYI0SqaYzRK+yEfiK3vlf+2ygEBJoRoh1GuWi5BxaqbJARyDgco25Cfj3h+XO6Vf5ucboS/mPDhp/9+R6WNWRmzEiOcD5HNaOXYIW+MzDKI0cY5liA7q8dtcq/8F8lpXOV0y32Xcqr8BOfDqvzAZkzGS7AdjaRCYIzq/XcjId0r/3OJWH9X8OLJO1f+J6XBZD2MqcQSWsEywVFJAWc+OakdeIHcK/8FEmKwWTVEWuks+0JfC+Re0qzwCxOP3ioGB2vNaNrWRGiIQoqBHKPVEKZIiEZcEdNwgJK9SO6V/wIJMTJuR/J2oMyVWrD2pNZfnTsxA4cxdmTnDg7QEGfsijGQUrCStjxYWVsInhq/V/5nlCMNux4Zm1/TlXDEgnBU/vpzJWQS54ZfXwv3Zv+zSa+d6Wqi7IshcEs9kC/c/eLPgW/PagSEEIPz85njF1aGToUgwpAzOd07fJ9Jeussu/no7b9O8aKPtfxr7S0cguEXg/MFCAbhCgg5JoY83Hrae+W/TF634k/kkM0X7/DhHv+hu+ja/SMEwschih+Te+W/DXLY45knn1JkyFa5nJynL8TImDMppkOU7w0s0b6XzyLiiGNxWpiUIjFFUjxWJ49DdnZSr+O/n/lfDfFMrgd2VtO+Uq96w6cYSE7OuHr+t8m98t8CEYyTZ0yBIQWGlMjJevOmlIlpsMZLg2f7dO03cLv275X/FoiIUbOkKOQgpBCIIXn6NhOipW+HlBhzdIo23iy+/Xv5jHKy1evrfl8bqhFRYymSk6ZSK3T/Prb/FRBFKbUzL9Y0ui4LrczWw6sPDApJM60nluq0MyEeKDBeJK8C3d6IyD8TkX8lIv9GRP6sv/5bReSfisjPi8jfEpHbIwr38pll5dirtXsHUiOF0FYQXUhaCFqMjasbD7B6D+JwC6DjpcoHZuAHVfV3Aj8A/JCI/F7gLwJ/WVV/G/AR8Cc+/23ey4vlWEq+8vM0zzuodq8ptEpg0e4dO/qR9+cT5KXKV5O1K0H2Q4EfBP62v/5t4I98jju7l5fIocGiCqWptXJZe+46AZT0QuwL0ha0LfQ60+v8wnO+ysxHRKKI/EusJOsngP8APFY9MP78EvB9L/js/yAi/1xE/vmnudl7eVbWQvOOeHvZI6N3W2d4r4jaQbNuW729CLj9ig6fqjbgB0TkEfD3gN/xyhf9fKFmlKPtupcXy4rYwZnlgjNxCqCdXhstBKdiVxBr2CShOrDTCSNukU/l7avqYxH5SeD3AY9EJPns/43Ad15+Q4IM2UZpeTlzxFdKXpYdfL4GU7wqyxU/DMKYhRwNVDLP1sljPxeImdQUlWA8/xJQqSfsJJ8sr+Ltf8tnPCKyBf4g8HPATwJ/1N/2aoWaAqSXY8u+cvKyaulTxfshYgU4MUJ0wuUUjXXbWrM0J4W0tX+pnaU0llKML7hU5lKYy4uZDl5l5n8v8G0xTFAAflxV/76I/CzwYyLy54B/gVXy3stbJJ+aluVzfZnIe1jryvfv7Etfr3yTN+Nef7Oqfuv5F+9U+QAi8s8/qVz4qyhv+r1+zRbfezmVe+V/jeV1KP9HX8N3vi55o+/1ztf8e3lz5N7sf43lTpUvIj8kIv/W08A/cpff/WWKiHy/iPykiPysp73/pL/+roj8hIj8e//5zuu+1lO5M7PvQaJ/h0UIfwn4KeCPq+rP3skFfIniPITfe8pPjGU5fxj48ISf+B1VfUV+4i9f7nLm/x7g51X1P6rqAvwY8Ifv8Pu/NFHV76rqz/jvV1j4+/uw+/u2v+2NS3vfpfK/D/jFk3+/MA38Nstn4Sd+XXLv8H2B8jw/8enfVJ+h6n4j5C6V/x3g+0/+/Wpp4LdEbuMn9r+/cfzEd6n8nwJ+uwM/B+CPYfy9b728rfzEd53V+0PAX8EIRP+6qv75O/vyL1G+SH7iu5T7CN/XWO4dvq+x3Cv/ayz3yv8ay73yv8Zyr/yvsdwr/2ss98r/Gsu98r/G8v8Hwdv5nRHBclUAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 720x720 with 5 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# visualize a few samples\n",
"plt.figure(figsize=(10, 10))\n",
"for i in range(5):\n",
" std = t.exp(0.5 * logvar)\n",
" eps = t.randn_like(std)\n",
" sample = mu + eps * std\n",
"\n",
" output = autoencoder.decoder(sample.reshape(-1, 3*4, 8, 8))[0]\n",
" plt.subplot(5, 3, 3*i+1)\n",
" plt.imshow(output.permute(1, 2, 0).detach().numpy())"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n",
"Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x1b843555300>"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 720x360 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Add noise to the encoding vector\n",
"def add_noise(x, noise_level=0.5):\n",
" return x + noise_level * t.randn_like(x) * x\n",
"noisy_encoding = add_noise(sample)\n",
"novel_output = autoencoder.decoder(noisy_encoding.reshape(-1, 3*4, 8, 8))\n",
"plt.figure(figsize=(10, 5))\n",
"plt.subplot(1, 3, 1)\n",
"plt.suptitle('Original latent vector, Novel latent vector, Novel output')\n",
"plt.imshow(sample.reshape((16, 16, 3)).detach().numpy())\n",
"plt.subplot(1, 3, 2)\n",
"plt.imshow(noisy_encoding.reshape((16, 16, 3)).detach().numpy())\n",
"plt.subplot(1, 3, 3)\n",
"plt.imshow(novel_output.squeeze(0).permute(1, 2, 0).detach().numpy())\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Diffusion Models"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The primary idea behind image generation models is to project the distribution of desired images down to a distribution in latent space. We then generate images by randomly sampling from the distribution in latent space and reversing the projection operation to retrieve the corresponding image.\n",
"\n",
"For diffusion models, GANs, and VAEs, the idea is very similar: we want to convert noise from a simple distribution to a data sample. In this case, we teach our model to gradually denoise images starting from pure noise."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Our paradigm - a 2 step process:\n",
"1. A diffusion process $q$ that gradually adds Gaussian noise to an image, step by step, until you end up with pure noise.\n",
"2. A learned denoising operation $p_\\theta$, where a neural network gradually denoises an image starting from pure noise, until you end up with an actual image.\n",
"\n",
"$$q(x_t|x_{t-1})$$\n",
"$$p_\\theta(x_{t-1}|x_t)$$\n",
"\n",
"Given enough timesteps and a stable noise schedule, you end up with an *isotropic Gaussian distribution* (covariance matrix is all zeros except on the diagonal -> identity matrix)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$q(x_t|x_{t-1}) = \\mathcal{N}(x_t; \\mu_t = \\sqrt{1-\\beta_t}\\ x_{t-1}; \\sigma^2_t = \\beta_t \\mathbf{I})$$\n",
"\n",
"Our variance schedule has the following property:\n",
"$$0<\\beta_1<\\beta_2<...<\\beta_T<1$$\n",
"> Note: The variance schedule doesn't need to be linear - common choices include quadratic, cosine, etc.\n",
"\n",
"This means that our $\\mu_t$ slowly decays towards 0 as $\\beta$ approaches 1.\n",
"\n",
"We can rewrite $q(x_t|x_{t-1})$, our encoder, as the following. We can do this since any distribution with a mean $\\mu$ is equivalent to another distribution with the same shape with a mean of 0 + the scalar $\\mu$.\n",
"\n",
"$$q(x_t|x_{t-1}) = \\sqrt{1-\\beta_t}\\ x_{t-1} + \\mathcal{N}(\\mu_t = 0; \\sigma^2_t = \\beta_t \\mathbf{I})$$\n",
"\n",
"Let's define $\\epsilon$, a normal distribution with mean 0 and standard deviation 1. We can rewrite the above again to be:\n",
"\n",
"$$q(x_t|x_{t-1}) = \\sqrt{1-\\beta_t}\\ x_{t-1} + \\epsilon \\sqrt{\\beta_t}$$\n",
"\n",
"Note that it's more obvious why the mean decays over time; $1-\\beta_t$ approaches 0 as $\\beta_t$ approaches 1."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Property of independent Gaussians\n",
"Let's consider the base diffusion case where the noise added at each step is an independent Gaussian variable (this is modified in later papers).\n",
"\n",
"\n",
"If $X$ and $Y$ are independent:\n",
"\n",
"\n",
"$X \\sim \\mathcal{N}(\\mu_X, \\sigma^2_X), Y \\sim \\mathcal{N}(\\mu_Y, \\sigma^2_Y),$ and $Z = X + Y$\n",
"$$Z \\sim \\mathcal{N}(\\mu_X + \\mu_Y, \\sigma_X^2 + \\sigma_Y^2)$$\n",
"\n",
"Said simply, the sum of two independent Gaussian random variables is also a Gaussian random variable. \n",
"\n",
"This is very convenient, as we can generate $x_t$ at any $t$ given $x_0$ in a single step:\n",
"\n",
"$$\\bar{\\alpha} = \\prod_{s=1}^t [1 - \\beta_t]$$\n",
"$$q(x_t|x_0) = \\mathcal{N}(x_t; \\sqrt{\\bar{\\alpha}}x_0, 1 - \\bar{\\alpha} \\mathbf{I})$$\n",
"\n",
"<details>\n",
"<summary>Derivation:</summary>\n",
"\n",
"$$q(x_t|x_{t-1}) = \\sqrt{1-\\beta_t}\\ x_{t-1} + \\epsilon \\sqrt{\\beta_t}$$\n",
"$$\\mu(x_t|x_0) = \\prod_{s=1}^t \\sqrt{1 - \\beta_t} = \\sqrt{\\prod_{s=1}^t [1 - \\beta_t]}$$\n",
"$$\\sigma^2(x_t|x_0) = \\beta_t \\prod_{s=1}^{t-1} [1 - \\beta_t] = 1 - \\left(\\prod_{s=1}^t [1 - \\beta_t] \\right)$$\n",
"\n",
"</details>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Approximating the decoder with a neural network:\n",
"Now let's turn back to our encoder.\n",
"$$q(x_t|x_{t-1}) = \\sqrt{1-\\beta_t}\\ x_{t-1} + \\epsilon \\sqrt{\\beta_t}$$\n",
"\n",
"$q(x_t|x_{t-1})$ is easy to calculate, but the reverse operation $p(x_{t-1}|x_t)$ is not directly computable. Mathematically, we can express the ideal denoising operation, $p(x_{t-1}|x_t)$, as follows:\n",
"$$p(x_{t-1}|x_t) = \\frac{x_t - \\epsilon\\sqrt{\\beta_t}}{\\sqrt{1-\\beta_t}}$$\n",
"> Unfortunately, we can't subtract $\\epsilon$ since it's not obvious what the exact values of the noise we added was.\n",
"\n",
"We can only estimate this ideal conditional distribution of denoised images from noisy images using a neural network. Let's call it $p_\\theta(x_{t-1}|x_t)$, with parameters $\\theta$."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Remember VAEs?\n",
"To simplify matters, we assume $p(x_{t-1}|x_t)$ is a [Gaussian Process.](https://distill.pub/2019/visual-exploration-gaussian-processes/)\n",
"If you recall the parameterization used in our VAE, our encoder predicted a mean and variance for a distribution in latent space. Here, we want our *decoder* to predict a mean and variance for distribution in image space.\n",
"\n",
"$$p_\\theta(x_{t-1}|x_t) = \\mathcal{N}(x_{t-1}; \\mu, \\sigma^2)$$\n",
"We actually want our functions for the decoder to be conditioned not only on the noised image from the next noising step, but also the index of the step. This is because the decoder will probably need to exhibit different behavior to denoise an image from $t_{100}$ to $t_{99}$ (a highly destroyed image to slightly less destroyed image) than to denoise an image from $t_1$ to $t_0$ (an almost perfect image to a perfect image). Giving our decoder information about the current timestep will allow it to be more informed in its predictions.\n",
"\n",
"$$p_\\theta(x_{t-1}|x_t) = \\mathcal{N}(x_{t-1}; \\mu_\\theta(x_t, t), \\Sigma_\\theta(x_t, t))$$\n",
"\n",
"Don't be daunted by this expression: $\\Sigma$ is just the covariance matrix of the distribution."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The DDPM authors decide to keep the variance fixed, and let the neural network only learn the mean $\\mu_\\theta(x_t, t)$ part of the expression above."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Minimizing reconstruction error"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can composite $q(x_{t+1}|x_t)$ and $p_\\theta(x_{t-1}|t)$ together to form a variational autoencoder that represents a single diffusion step.\n",
"\n",
"$$z \\sim q(x_{t+1}|x_t)$$\n",
"$$\\hat{x_t} = p_\\theta(x_{t}|z)$$\n",
"\n",
"$$\\mu_\\theta(x_t, t) = \\frac{1}{\\sqrt{1 - \\beta_t}} \\left(x_t - \\frac{\\beta_t}{\\sqrt{1 - \\bar{\\alpha}}}\\epsilon_\\theta(x_t, t) \\right)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Objective function"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$||\\epsilon - \\epsilon_\\theta(x_t, t)||^2 = ||\\epsilon - \\epsilon_\\theta(\\sqrt{\\bar{\\alpha_t}}x_0 + \\sqrt{(1 - \\bar{\\alpha_t})}\\epsilon, t)||^2$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Training loop:\n",
"While not converged:\n",
"1. $x_0 \\sim q(X = x_0) \\rightarrow $ sample an image from the dataset.\n",
"2. $t \\sim \\text{Uniform}(\\{1,...,T\\}) \\rightarrow $ randomly select a timestep T.\n",
"3. $\\epsilon \\sim \\mathcal{N}(0, I) \\rightarrow$ Sample some noise.\n",
"4. Take gradient descent step on $\\nabla_\\theta||\\epsilon - \\epsilon_\\theta(\\sqrt{\\hat{\\alpha_t}}x_0 + \\sqrt{1 - \\hat{\\alpha_t}}\\epsilon, t)||^2$"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"batch_size = 16\n",
"trainloader = t.utils.data.DataLoader(trainset, batch_size=batch_size,\n",
" shuffle=True, num_workers=2)\n",
"class DiffusionUNet(nn.Module):\n",
" def __init__(self):\n",
" super().__init__()\n",
"class DiffusionUNet(nn.Module):\n",
" def __init__(self):\n",
" super().__init__()\n",
" self.encoder = nn.ModuleList([\n",
" nn.Conv2d(3, 8, kernel_size=3, stride=2, padding=1),\n",
" nn.ReLU(True),\n",
" nn.Conv2d(8, 16, kernel_size=3, stride=1, padding=1),\n",
" nn.ReLU(True),\n",
" nn.Conv2d(16, 16, kernel_size=3, stride=2, padding=1),\n",
" nn.ReLU(True),\n",
" nn.Conv2d(16, 16, kernel_size=3, stride=1, padding=1),\n",
" nn.ReLU(True),\n",
" nn.Conv2d(16, 3*4, kernel_size=3, stride=1, padding=1),\n",
" nn.ReLU(True),\n",
" nn.Flatten()\n",
" ])\n",
" self.g = nn.Linear(3*4*8*8, 3*4*8*8)\n",
" self.h = nn.Linear(3*4*8*8, 3*4*8*8)\n",
"\n",
" self.decoder = nn.ModuleList([\n",
" nn.ConvTranspose2d(3*4, 16, kernel_size=3, stride=1, padding = 1),\n",
" nn.ReLU(True),\n",
" nn.ConvTranspose2d(16, 16, kernel_size=3, stride=2, padding = 1, output_padding=1),\n",
" nn.ReLU(True),\n",
" nn.ConvTranspose2d(16, 8, kernel_size=3, stride=2, padding = 1, output_padding=1),\n",
" nn.ReLU(True),\n",
" nn.ConvTranspose2d(8, 3, kernel_size=1, stride=1)\n",
" ])\n",
"\n",
" def forward(self, x, return_distribution = True):\n",
" residuals = []\n",
" for layer in self.encoder:\n",
" x = layer(x)\n",
" if isinstance(layer, nn.ReLU):\n",
" residuals.append(x)\n",
" mu = self.g(x)\n",
" logvar = self.h(x)\n",
" std = t.exp(0.5 * logvar)\n",
" eps = t.randn_like(std)\n",
" x = mu + eps * std\n",
" x = x.reshape(-1, 3*4, 8, 8)\n",
" for i, layer in enumerate(self.decoder):\n",
" x = layer(x)\n",
" if isinstance(layer, nn.ReLU) and residuals:\n",
" x += residuals.pop()\n",
" return x, (mu, logvar) if return_distribution else x"
]
}
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