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pe-using-a-vae.ipynb
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{ | |
"nbformat": 4, | |
"nbformat_minor": 0, | |
"metadata": { | |
"colab": { | |
"provenance": [], | |
"toc_visible": true, | |
"authorship_tag": "ABX9TyNYloODFpdQqzYgvioJEWUb", | |
"include_colab_link": true | |
}, | |
"kernelspec": { | |
"name": "python3", | |
"display_name": "Python 3" | |
}, | |
"language_info": { | |
"name": "python" | |
} | |
}, | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "view-in-github", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"<a href=\"https://colab.research.google.com/gist/avivajpeyi/bf0dac72efb11cc2763ac7d8ee42cb6f/pe-using-a-vae.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"## Basic VAE" | |
], | |
"metadata": { | |
"id": "2NBbYwYXUrHQ" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 31, | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 333 | |
}, | |
"id": "qePh0KWeMSMm", | |
"outputId": "adf21377-0a83-4f0d-b3d0-c784fa4da3fa" | |
}, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 400x300 with 1 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
], | |
"source": [ | |
"import torch\n", | |
"import torch.nn as nn\n", | |
"import torch.optim as optim\n", | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"from tqdm import tqdm\n", | |
"\n", | |
"N = 50\n", | |
"X = np.linspace(0, 1, N)\n", | |
"\n", | |
"def generate_line_data(num_samples, num_points):\n", | |
" x = X\n", | |
" m = np.random.uniform(-5, 5, (num_samples, 1))\n", | |
" c = np.random.uniform(-2, 2, (num_samples, 1))\n", | |
"\n", | |
" # Broadcasting to ensure correct shapes\n", | |
" y = m * x[np.newaxis, :] + c\n", | |
"\n", | |
" # Return only y values as torch tensor\n", | |
" return torch.FloatTensor(y)\n", | |
"\n", | |
"class VAE(nn.Module):\n", | |
" def __init__(self, input_dim, hidden_dim, latent_dim):\n", | |
" super(VAE, self).__init__()\n", | |
"\n", | |
" # Encoder\n", | |
" self.encoder = nn.Sequential(\n", | |
" nn.Linear(input_dim, hidden_dim),\n", | |
" nn.ReLU(),\n", | |
" )\n", | |
" self.fc_mu = nn.Linear(hidden_dim, latent_dim)\n", | |
" self.fc_logvar = nn.Linear(hidden_dim, latent_dim)\n", | |
"\n", | |
" # Decoder\n", | |
" self.decoder = nn.Sequential(\n", | |
" nn.Linear(latent_dim, hidden_dim),\n", | |
" nn.ReLU(),\n", | |
" nn.Linear(hidden_dim, input_dim),\n", | |
" )\n", | |
"\n", | |
" def encode(self, x):\n", | |
" h = self.encoder(x)\n", | |
" return self.fc_mu(h), self.fc_logvar(h)\n", | |
"\n", | |
" def reparameterize(self, mu, logvar):\n", | |
" std = torch.exp(0.5 * logvar)\n", | |
" eps = torch.randn_like(std)\n", | |
" return mu + eps * std\n", | |
"\n", | |
" def decode(self, z):\n", | |
" return self.decoder(z)\n", | |
"\n", | |
" def forward(self, x):\n", | |
" mu, logvar = self.encode(x)\n", | |
" z = self.reparameterize(mu, logvar)\n", | |
" return self.decode(z), mu, logvar\n", | |
"\n", | |
"def loss_function(recon_x, x, mu, logvar):\n", | |
" BCE = nn.functional.mse_loss(recon_x, x, reduction='sum')\n", | |
" KLD = -0.5 * torch.sum(1 + logvar - mu.pow(2) - logvar.exp())\n", | |
" return BCE + KLD\n", | |
"\n", | |
"# Generate data\n", | |
"num_samples = 1000\n", | |
"num_points = 50\n", | |
"data = generate_line_data(num_samples, num_points)\n", | |
"train_size = int(0.8 * len(data))\n", | |
"train_data, val_data = torch.utils.data.random_split(data, [train_size, len(data) - train_size])\n", | |
"\n", | |
"# Plot some training data\n", | |
"plt.figure(figsize=(4, 3))\n", | |
"for i in range(500):\n", | |
" sample = train_data[i]\n", | |
" plt.plot(X, sample, alpha=0.1, color='tab:orange')\n", | |
"plt.title(\"Sample Training Data\")\n", | |
"plt.xlim(0,1)\n", | |
"plt.xlabel(\"x\")\n", | |
"plt.ylabel(\"y\")\n", | |
"plt.show()\n", | |
"\n", | |
"# Initialize the model\n", | |
"input_dim = num_points\n", | |
"hidden_dim = 16\n", | |
"latent_dim = 2\n", | |
"model = VAE(input_dim, hidden_dim, latent_dim)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"optimizer = optim.Adam(model.parameters(), lr=1e-3)\n", | |
"\n", | |
"# Training loop\n", | |
"num_epochs = 10\n", | |
"train_losses = []\n", | |
"val_losses = []\n", | |
"\n", | |
"for epoch in tqdm(range(num_epochs), desc=\"Training\"):\n", | |
" model.train()\n", | |
" train_loss = 0\n", | |
" for batch in train_data:\n", | |
" optimizer.zero_grad()\n", | |
" recon_batch, mu, logvar = model(batch)\n", | |
" loss = loss_function(recon_batch, batch, mu, logvar)\n", | |
" loss.backward()\n", | |
" train_loss += loss.item()\n", | |
" optimizer.step()\n", | |
"\n", | |
" avg_train_loss = train_loss / len(train_data)\n", | |
" train_losses.append(avg_train_loss)\n", | |
"\n", | |
" # Validation\n", | |
" model.eval()\n", | |
" val_loss = 0\n", | |
" with torch.no_grad():\n", | |
" for batch in val_data:\n", | |
" recon_batch, mu, logvar = model(batch)\n", | |
" loss = loss_function(recon_batch, batch, mu, logvar)\n", | |
" val_loss += loss.item()\n", | |
"\n", | |
" avg_val_loss = val_loss / len(val_data)\n", | |
" val_losses.append(avg_val_loss)\n", | |
"\n", | |
" # Update progress bar description\n", | |
" tqdm.write(f'Epoch {epoch+1}, Train Loss: {avg_train_loss:.4f}, Val Loss: {avg_val_loss:.4f}')\n", | |
"\n", | |
"# Plot the final loss curves after training is complete\n", | |
"plt.figure(figsize=(4, 3))\n", | |
"plt.plot(range(1, num_epochs + 1), train_losses, label='Train Loss')\n", | |
"plt.plot(range(1, num_epochs + 1), val_losses, label='Validation Loss')\n", | |
"plt.xlim(1, num_epochs + 1)\n", | |
"plt.title('Training and Validation Loss')\n", | |
"plt.xlabel('Epoch')\n", | |
"plt.ylabel('Loss')\n", | |
"plt.legend()\n", | |
"plt.grid(False)\n", | |
"plt.show()" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 524 | |
}, | |
"id": "qWy8huK4PEUK", | |
"outputId": "402ab477-6e36-4589-8600-93b697744fcf" | |
}, | |
"execution_count": 33, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"Training: 10%|█ | 1/10 [00:01<00:15, 1.69s/it]" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Epoch 1, Train Loss: 63.5036, Val Loss: 22.2860\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"Training: 20%|██ | 2/10 [00:03<00:13, 1.67s/it]" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Epoch 2, Train Loss: 13.6612, Val Loss: 9.5586\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"Training: 30%|███ | 3/10 [00:04<00:11, 1.66s/it]" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Epoch 3, Train Loss: 9.8176, Val Loss: 9.0621\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"Training: 40%|████ | 4/10 [00:06<00:09, 1.66s/it]" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Epoch 4, Train Loss: 8.7598, Val Loss: 7.9206\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"Training: 50%|█████ | 5/10 [00:08<00:09, 1.80s/it]" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Epoch 5, Train Loss: 8.0965, Val Loss: 7.6176\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"Training: 60%|██████ | 6/10 [00:10<00:07, 1.95s/it]" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Epoch 6, Train Loss: 7.7853, Val Loss: 7.2308\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"Training: 70%|███████ | 7/10 [00:12<00:05, 1.85s/it]" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Epoch 7, Train Loss: 7.3370, Val Loss: 7.2077\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"Training: 80%|████████ | 8/10 [00:14<00:03, 1.79s/it]" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Epoch 8, Train Loss: 7.4709, Val Loss: 6.8552\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"Training: 90%|█████████ | 9/10 [00:15<00:01, 1.75s/it]" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Epoch 9, Train Loss: 7.1687, Val Loss: 6.5547\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"Training: 100%|██████████| 10/10 [00:17<00:00, 1.76s/it]\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Epoch 10, Train Loss: 6.8409, Val Loss: 6.7465\n" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 400x300 with 1 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"model.eval()\n", | |
"\n", | |
"\n", | |
"n_samples = 300\n", | |
"# Generate some random latent vectors\n", | |
"z = torch.randn(n_samples, latent_dim)\n", | |
"\n", | |
"# Decode the latent vectors\n", | |
"with torch.no_grad():\n", | |
" generated = model.decode(z)\n", | |
"\n", | |
"# Plot the generated lines\n", | |
"plt.figure(figsize=(4, 3))\n", | |
"for i in range(n_samples):\n", | |
" plt.plot(X, generated[i], alpha=0.1, color=\"tab:blue\")\n", | |
" plt.plot(X, train_data[i], alpha=0.1, color=\"tab:orange\", zorder=-1)\n", | |
"plt.plot([],[], color=\"tab:blue\", label=\"VAE prediction\")\n", | |
"plt.plot([],[], color=\"tab:orange\", label=\"Training Data\")\n", | |
"plt.legend()\n", | |
"plt.xlim(0,1)\n", | |
"plt.xlabel(\"x\")\n", | |
"plt.ylabel(\"y\")\n", | |
"plt.show()" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 311 | |
}, | |
"id": "zqepdx7hMjlT", | |
"outputId": "48442475-17f6-4fcb-ab6a-b5a83b0b475c" | |
}, | |
"execution_count": 38, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 400x300 with 1 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"## Fitting with VAE" | |
], | |
"metadata": { | |
"id": "IjA25ikcUn9d" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# Generate some new data (WITH NOISE) to fit\n", | |
"x = np.linspace(0, 1, num_points)\n", | |
"TRUE_M, TRUE_C = 2, 1\n", | |
"y_true = TRUE_M * x + TRUE_C\n", | |
"y_obs = y_true + np.random.normal(0, 0.1, num_points)\n", | |
"\n", | |
"\n" | |
], | |
"metadata": { | |
"id": "iQAH3L7YVImR" | |
}, | |
"execution_count": 4, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"### Plain ol' optimizer" | |
], | |
"metadata": { | |
"id": "nPu_nB5ChcA5" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"def fit_data_with_vae_and_optimizer(model, x, y):\n", | |
" model.eval()\n", | |
" target = torch.FloatTensor(y).unsqueeze(0)\n", | |
"\n", | |
" # Initialize latent vector\n", | |
" z = torch.randn(1, latent_dim, requires_grad=True)\n", | |
" optimizer = optim.Adam([z], lr=0.1)\n", | |
"\n", | |
" for _ in range(1000):\n", | |
" optimizer.zero_grad()\n", | |
" generated = model.decode(z)\n", | |
" loss = nn.functional.mse_loss(generated, target)\n", | |
" loss.backward()\n", | |
" optimizer.step()\n", | |
"\n", | |
" return generated.detach().numpy()[0]\n", | |
"\n", | |
"\n", | |
"# Fit the data using our VAE\n", | |
"optimized_fit = fit_data_with_vae_and_optimizer(model, x, y_obs)\n", | |
"\n", | |
"# Plot the results\n", | |
"plt.figure(figsize=(4, 3))\n", | |
"plt.scatter(x, y_obs, label='Original Data')\n", | |
"plt.plot(x, optimized_fit, 'r-', label='VAE Fit')\n", | |
"plt.title(\"Fitting New Data with VAE using optimizer\")\n", | |
"plt.xlabel(\"x\")\n", | |
"plt.ylabel(\"y\")\n", | |
"plt.xlim(0,1)\n", | |
"plt.legend()\n", | |
"plt.show()" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 333 | |
}, | |
"id": "8rmeuof6M6J1", | |
"outputId": "b12be977-5849-45ee-8b70-36f01f368235" | |
}, | |
"execution_count": 17, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 400x300 with 1 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"### Getting fancier with an MCMC" | |
], | |
"metadata": { | |
"id": "lpWeKAsOhjbn" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"! pip install emcee corner arviz dynesty" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "V4F-6ljWOgQF", | |
"outputId": "04fbab93-aafc-439a-dc17-8bfbbbbb5abf" | |
}, | |
"execution_count": 6, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Collecting emcee\n", | |
" Downloading emcee-3.1.6-py2.py3-none-any.whl.metadata (3.0 kB)\n", | |
"Collecting corner\n", | |
" Downloading corner-2.2.2-py3-none-any.whl.metadata (2.2 kB)\n", | |
"Requirement already satisfied: arviz in /usr/local/lib/python3.10/dist-packages (0.20.0)\n", | |
"Requirement already satisfied: numpy in /usr/local/lib/python3.10/dist-packages (from emcee) (1.26.4)\n", | |
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"Downloading emcee-3.1.6-py2.py3-none-any.whl (47 kB)\n", | |
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"Installing collected packages: emcee, corner\n", | |
"Successfully installed corner-2.2.2 emcee-3.1.6\n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"import numpy as np\n", | |
"import torch\n", | |
"import torch.nn as nn\n", | |
"import torch.optim as optim\n", | |
"import emcee\n", | |
"import matplotlib.pyplot as plt\n", | |
"import arviz as az\n", | |
"import numpy as np\n", | |
"\n", | |
"\n", | |
"def log_probability(params, model, x, y, noise_std=0.1):\n", | |
" z = torch.tensor(params, dtype=torch.float32).unsqueeze(0)\n", | |
"\n", | |
" with torch.no_grad():\n", | |
" generated = model.decode(z).squeeze()\n", | |
"\n", | |
" # Compute residuals\n", | |
" residuals = y - generated.numpy()\n", | |
"\n", | |
" # Gaussian likelihood\n", | |
" log_likelihood = -0.5 * np.sum((residuals / noise_std)**2) - 0.5 * len(y) * np.log(2 * np.pi * noise_std**2)\n", | |
"\n", | |
" # Uniform prior\n", | |
" if np.all(params >= -5) and np.all(params <= 5):\n", | |
" log_prior = 0 # log(1) = 0, as uniform density is constant\n", | |
" else:\n", | |
" log_prior = -np.inf # Zero probability outside the range\n", | |
"\n", | |
" return log_likelihood + log_prior\n", | |
"\n", | |
"\n", | |
"def fit_data_with_vae_and_mcmc(model, x, y):\n", | |
" # Set up the sampler\n", | |
" ndim = 2 # Assuming 2D latent space\n", | |
" nwalkers = 32 # Number of walkers\n", | |
" initial_state = np.random.randn(nwalkers, ndim)\n", | |
"\n", | |
" # Create the sampler\n", | |
" sampler = emcee.EnsembleSampler(nwalkers, ndim, log_probability, args=(model, x, y))\n", | |
"\n", | |
" # Run the MCMC\n", | |
" nsteps = 1000\n", | |
" sampler.run_mcmc(initial_state, nsteps, progress=True)\n", | |
"\n", | |
" emcee_trace = az.from_emcee(sampler)\n", | |
" return emcee_trace\n", | |
"\n", | |
"\n", | |
"emcee_trace = fit_data_with_vae_and_mcmc(model, x, y_obs)\n", | |
"az.plot_trace(\n", | |
" emcee_trace,\n", | |
" combined=True, # Combine all chains\n", | |
" compact=True,\n", | |
" divergences=True, # Show divergences if any\n", | |
" figsize=(8, 5) # Set figure size\n", | |
")\n", | |
"plt.show()\n", | |
"\n" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 483 | |
}, | |
"id": "9ItpBptaQ_PN", | |
"outputId": "55bcdcef-8e01-4731-92b5-dfbceedc409a" | |
}, | |
"execution_count": 9, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"100%|██████████| 1000/1000 [00:06<00:00, 148.48it/s]\n" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 800x500 with 4 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"import corner\n", | |
"\n", | |
"# Drop the burn-in samples\n", | |
"n_samples = emcee_trace.posterior.dims[\"draw\"]\n", | |
"burnin = int(0.2 * n_samples)\n", | |
"emcee_trace_burned = emcee_trace.sel(draw=slice(burnin, None))\n", | |
"\n", | |
"# 1. Corner plot\n", | |
"samples = emcee_trace_burned.posterior.stack(sample=(\"chain\", \"draw\"))\n", | |
"corner_samples = np.array([samples['var_0'].values, samples['var_1'].values]).T\n", | |
"mcmc_z_samples = corner_samples.copy()\n", | |
"\n", | |
"\n", | |
"# # bilby corner kwargs\n", | |
"corner_kwargs = dict(\n", | |
" bins=50,\n", | |
" smooth=0.9,\n", | |
" label_kwargs=dict(fontsize=16),\n", | |
" title_kwargs=dict(fontsize=16),\n", | |
" truth_color='tab:orange',\n", | |
" quantiles=[0.16, 0.84],\n", | |
" levels=(1 - np.exp(-0.5), 1 - np.exp(-2), 1 - np.exp(-9 / 2.)),\n", | |
" plot_density=False,\n", | |
" plot_datapoints=True,\n", | |
" fill_contours=True,\n", | |
" max_n_ticks=3,\n", | |
" verbose=True,\n", | |
")\n", | |
"\n", | |
"fig = corner.corner(corner_samples, labels=[r\"$Z_1$\", r\"$Z_2$\"], **corner_kwargs);\n", | |
"plt.show()\n", | |
"\n", | |
"# Posterior predictions plot\n", | |
"all_predictions = []\n", | |
"for sample in corner_samples:\n", | |
" z = torch.tensor(sample, dtype=torch.float32).unsqueeze(0)\n", | |
" with torch.no_grad():\n", | |
" generated = model.decode(z).squeeze().numpy()\n", | |
" all_predictions.append(generated)\n", | |
"\n", | |
"all_predictions = np.array(all_predictions)\n", | |
"\n", | |
"# Calculate the median and 90% CI\n", | |
"median = np.median(all_predictions, axis=0)\n", | |
"ci_lower = np.percentile(all_predictions, 5, axis=0)\n", | |
"ci_upper = np.percentile(all_predictions, 95, axis=0)\n", | |
"mcmc_posteior_predictive = np.array([\n", | |
" ci_lower, median, ci_upper\n", | |
"])\n", | |
"\n", | |
"\n", | |
"# Plot the results\n", | |
"plt.figure(figsize=(5, 4))\n", | |
"plt.scatter(x, y_obs, label='Original Data', color='blue', alpha=0.6)\n", | |
"\n", | |
"# Plot the median prediction\n", | |
"plt.plot(x, median, 'r-', label='Median Prediction')\n", | |
"\n", | |
"# Plot the 90% CI\n", | |
"plt.fill_between(x, ci_lower, ci_upper, color='red', alpha=0.2, label='90% CI')\n", | |
"\n", | |
"plt.title(\"MCMC Predictions\", fontsize=20)\n", | |
"plt.xlabel(\"x\", fontsize=16)\n", | |
"plt.ylabel(\"y\", fontsize=16)\n", | |
"plt.legend(fontsize=12)\n", | |
"plt.tick_params(axis='both', which='major', labelsize=12)\n", | |
"plt.show()" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 1000 | |
}, | |
"id": "ZpNoHp1PRz9I", | |
"outputId": "466b7600-943a-494e-e379-bb3b71c14d22" | |
}, | |
"execution_count": 20, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"<ipython-input-20-912f952ea959>:4: FutureWarning: The return type of `Dataset.dims` will be changed to return a set of dimension names in future, in order to be more consistent with `DataArray.dims`. To access a mapping from dimension names to lengths, please use `Dataset.sizes`.\n", | |
" n_samples = emcee_trace.posterior.dims[\"draw\"]\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Quantiles:\n", | |
"[(0.16, 1.644076122891093), (0.84, 1.672226371695613)]\n", | |
"Quantiles:\n", | |
"[(0.16, -0.16521555952378536), (0.84, -0.08658772149208815)]\n" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 550x550 with 4 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 500x400 with 1 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"### Even fancier with variational inference" | |
], | |
"metadata": { | |
"id": "V-mTCFqfho5K" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"import numpy as np\n", | |
"import torch\n", | |
"import torch.nn as nn\n", | |
"import torch.optim as optim\n", | |
"import matplotlib.pyplot as plt\n", | |
"from torch.distributions import Normal, Uniform\n", | |
"from tqdm import tqdm # Import tqdm for progress bar\n", | |
"\n", | |
"class VariationalInference(nn.Module):\n", | |
" def __init__(self, n_posteriors):\n", | |
" super(VariationalInference, self).__init__()\n", | |
" self.n_posteriors = n_posteriors\n", | |
" self.qm = nn.Parameter(torch.randn(n_posteriors)) # Mean of variational distribution\n", | |
" self.qs = nn.Parameter(torch.randn(n_posteriors)) # Log-std of variational distribution\n", | |
"\n", | |
" # Prior parameters (fixed for now...)\n", | |
" self.prior_m = 0.0\n", | |
" self.prior_s = 1.0\n", | |
"\n", | |
" def reparameterize(self, num_samples=1):\n", | |
" std = torch.exp(self.qs) # Convert log-std to std\n", | |
" eps = torch.randn(num_samples, self.n_posteriors) # Sample from standard normal\n", | |
" return self.qm + eps * std # Reparameterization trick\n", | |
"\n", | |
" def compute_elbo(self, x, y, noise_std):\n", | |
" z = self.reparameterize()\n", | |
"\n", | |
" # Compute log likelihood\n", | |
" generated = model.decode(z.unsqueeze(0)).squeeze()\n", | |
" log_likelihood = Normal(generated, noise_std).log_prob(y).sum()\n", | |
"\n", | |
" # Compute KL divergence\n", | |
" prior_distribution = Normal(self.prior_m, self.prior_s)\n", | |
" q_distribution = Normal(self.qm, torch.exp(self.qs))\n", | |
" kl_divergence = torch.distributions.kl_divergence(q_distribution, prior_distribution).sum()\n", | |
"\n", | |
" elbo = log_likelihood - kl_divergence # ELBO calculation\n", | |
" return elbo\n", | |
"\n", | |
"def fit_data_with_variational_inference(model, x, y_obs, num_iterations=2000):\n", | |
" latent_dim = 2\n", | |
" vi_model = VariationalInference(latent_dim)\n", | |
" optimizer = optim.Adam(vi_model.parameters(), lr=0.01)\n", | |
"\n", | |
" y_tensor = torch.tensor(y_obs, dtype=torch.float32) # Convert y to tensor once\n", | |
"\n", | |
" losses = []\n", | |
"\n", | |
" for i in tqdm(range(num_iterations), desc=\"Fitting Model\"):\n", | |
" optimizer.zero_grad()\n", | |
"\n", | |
" noise_std = 0.1 # Standard deviation of the noise in observations\n", | |
" elbo = vi_model.compute_elbo(x, y_tensor, noise_std)\n", | |
"\n", | |
" loss = -elbo # We want to maximize ELBO; minimize negative ELBO\n", | |
" loss.backward()\n", | |
" optimizer.step()\n", | |
"\n", | |
" losses.append(loss.item())\n", | |
"\n", | |
" if i % 250 == 0:\n", | |
" print(f\"Iteration {i}: qm={vi_model.qm.data.numpy()}, qs={torch.exp(vi_model.qs).data.numpy()}\")\n", | |
"\n", | |
" return vi_model, losses\n", | |
"\n", | |
"# Fit the data using variational inference\n", | |
"x_tensor = torch.tensor(X, dtype=torch.float32) # Assuming X is your input data tensor\n", | |
"vi_model, losses = fit_data_with_variational_inference(model, x_tensor, y_obs)\n", | |
"\n", | |
"# Plot the loss over iterations\n", | |
"plt.figure(figsize=(10, 5))\n", | |
"plt.plot(losses)\n", | |
"plt.title('Variational Inference Loss')\n", | |
"plt.xlabel('Iteration')\n", | |
"plt.ylabel('Loss')\n", | |
"plt.show()\n" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 663 | |
}, | |
"id": "SJ4NV36UbBFy", | |
"outputId": "f559ffea-a794-461a-9080-a3d7ad088146" | |
}, | |
"execution_count": 12, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"Fitting Model: 4%|▍ | 79/2000 [00:00<00:04, 400.61it/s]" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Iteration 0: qm=[-0.7134289 0.5234653], qs=[0.5442869 0.9487488]\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"Fitting Model: 15%|█▍ | 293/2000 [00:00<00:04, 389.01it/s]" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Iteration 250: qm=[0.9667939 0.14670192], qs=[0.3303136 0.42683458]\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"Fitting Model: 28%|██▊ | 566/2000 [00:01<00:03, 377.63it/s]" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Iteration 500: qm=[ 1.52443 -0.00568073], qs=[0.24945483 0.25521636]\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"Fitting Model: 41%|████ | 811/2000 [00:02<00:02, 417.16it/s]" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Iteration 750: qm=[ 1.6236813 -0.06024004], qs=[0.2041729 0.20320345]\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"Fitting Model: 55%|█████▌ | 1101/2000 [00:02<00:01, 535.60it/s]" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Iteration 1000: qm=[ 1.6538142 -0.0850919], qs=[0.17026053 0.16971126]\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"Fitting Model: 66%|██████▌ | 1320/2000 [00:03<00:01, 535.64it/s]" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Iteration 1250: qm=[ 1.6567233 -0.07684878], qs=[0.15023802 0.14646001]\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"Fitting Model: 80%|████████ | 1608/2000 [00:03<00:00, 564.20it/s]" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Iteration 1500: qm=[ 1.6543725 -0.11248446], qs=[0.12862483 0.12759301]\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"Fitting Model: 92%|█████████▏| 1837/2000 [00:03<00:00, 555.31it/s]" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Iteration 1750: qm=[ 1.6515486 -0.10440725], qs=[0.11230148 0.11179327]\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"Fitting Model: 100%|██████████| 2000/2000 [00:04<00:00, 470.66it/s]\n" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 1000x500 with 1 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# Generate surrogate posteriors for the latent variables\n", | |
"num_samples = 1000\n", | |
"z_samples = vi_model.reparameterize(num_samples).detach().numpy() # Get samples from the variational posterior\n", | |
"vi_z_samples = z_samples.copy()\n", | |
"\n", | |
"# Posterior predictions plot using the surrogate samples\n", | |
"all_predictions = []\n", | |
"for sample in z_samples:\n", | |
" # Ensure sample is a tensor with correct shape for decoding\n", | |
" z_tensor = torch.tensor(sample, dtype=torch.float32).unsqueeze(0) # Shape should be (1, latent_dim)\n", | |
"\n", | |
" with torch.no_grad():\n", | |
" generated = model.decode(z_tensor).squeeze().numpy() # Decode and convert to numpy\n", | |
" all_predictions.append(generated)\n", | |
"\n", | |
"all_predictions = np.array(all_predictions)\n", | |
"\n", | |
"# Calculate the median and 90% CI for predictions\n", | |
"median = np.median(all_predictions, axis=0)\n", | |
"ci_lower = np.percentile(all_predictions, 5, axis=0)\n", | |
"ci_upper = np.percentile(all_predictions, 95, axis=0)\n", | |
"\n", | |
"# Plot the results with CI\n", | |
"plt.figure(figsize=(5, 4))\n", | |
"plt.scatter(X, y_obs, label='Original Data', color='blue', alpha=0.6)\n", | |
"plt.plot(X.flatten(), median, 'r-', label='Median Prediction')\n", | |
"plt.fill_between(X.flatten(), ci_lower.flatten(), ci_upper.flatten(), color='red', alpha=0.2, label='90% CI')\n", | |
"vi_posteior_predictive = np.array([\n", | |
" ci_lower, median, ci_upper\n", | |
"])\n", | |
"\n", | |
"plt.title(\"Variational Inference Predictions\", fontsize=20)\n", | |
"plt.xlabel(\"x\", fontsize=16)\n", | |
"plt.ylabel(\"y\", fontsize=16)\n", | |
"plt.legend(fontsize=12)\n", | |
"plt.tick_params(axis='both', which='major', labelsize=12)\n", | |
"plt.show()\n", | |
"\n", | |
"# Plotting the posterior distribution from VI\n", | |
"fig = corner.corner(z_samples, labels=[r\"$Z_1$\", r\"$Z_2$\"], **corner_kwargs);\n", | |
"plt.suptitle(\"Variational Posterior\")\n", | |
"plt.show()" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 1000 | |
}, | |
"id": "eKJojfjye-q3", | |
"outputId": "15b87f8a-6b20-49a0-b556-738582a0385a" | |
}, | |
"execution_count": 15, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 500x400 with 1 Axes>" | |
], | |
"image/png": 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jRw+twULy4w0bNgwCgUDjepaWlujWrVuNxxs1apTG/bRs2RIODg4Aql+fK1euKAKKpkyZolhPVw4ePAgAeOGFF7QGaTk7OyvywLWdhy7s2LFDJVDL1tYWnTt3xv79+wEADg4O2Lt3Lzw9PdVuP3z4cDg6Omrcf13PSSqVKoJ0Bw4cCF9fX7Xb8/l8TJgwQfOJ1sDvv/+u+H/mzJl676euyH+nnJ2d8fzzz2tc77XXXqu2jTr0/Sz7+Pgo/t+2bVvNA68FlgbdWz1gaWmJl19+GV988QVSUlJw6tQp9OrVS/H6P//8g4yMDADsx1VdsY28vDysWbMG+/fvR1JSktbI37y8PI2vOTg4ICQkpA5nw6isrMTmzZuxc+dOXL58GRUVFXqNp67cuHEDAGBtbY127dppXbdLly6Ij49HUlISKioqYG1tXW2d8PBwrftwdXUFABQVFal9neM47N69G1u3bsX58+e1Fgsy5nXRFW3nKz9XQPP51oQ8MvnIkSM6V8TKysrS+JqmGy2A/dhfuXIFALBp0yZs2rSpzser6fPg4uKC4uLiatfn8uXLiv+Vv+u6kJqaitzcXADA/PnzMX/+fJ2203YedcHX1xcjRozA3LlzERwcrHE9be+NIc7p7t27iuyKTp06ad1OOfq+tsjfu8DAQDRr1kzv/dQV+W9bdHS01tRPLy8vBAUFISUlRbGNOvT9LPfs2RMhISG4d+8eZs6cid27d2PkyJHo3bs3OnXqpPZ3VFfMTswBVpb1iy++AMByyZW/4DWVb42NjcUzzzyD/Px8nY6lTUCcnZ11HLFmHj58iIEDByI2NrbO4zHEWAAmPJaW2j8a3t7eAJjgPnr0SOEtUcbOzk7rPuQ3WupqkIvFYjz//PP4448/dBq7Ma+Lrmg7X+WbSn1rrteUjqkObdfFxcVF42sPHz6ERCKp9fG0VTTT9/OgfKOmbNnogj7XDNB+HrowYsQILF26VPFcIBDA1dVV4WGrCW3vjSHOSf5dB6DROyBH3XdbV+TvXW3fN0MjP9+azhVgv20pKSkq16gq+n6WrayscPDgQYwaNQrx8fG4ePEiLl68CACwtbVF7969MX78eIwdOxYWFhY1jlUZsxTzdu3aISoqCtevX8fevXuxbt06CAQClJSU4MCBAwCYWzMiIkJlu4qKCowZMwb5+fmwsrLC22+/jREjRiAsLAwuLi4Kt8m9e/cU5WO1We21vdjqeOeddxRC/txzz+HVV19FmzZt4OnpCRsbG4UFFhgYiAcPHtRLyURTqIO8bNkyhZD36dMHb775JqKjo+Ht7Q1bW1vFl6V37944efJkg5eSrA/kPwyDBw/GZ599Vuf9afv8Kv8Ivfbaazo3KaqLZWEMlM/j448/xujRo3Xazt7evk7HlVeA0xdd3xtDnJMpfN/rC1M414iICFy/fh0HDx7EwYMH8d9//+HOnTsoKyvDkSNHcOTIEaxZswaHDx/W6eZDjlmKOcCs7rlz56KgoEBxp/Pzzz8ryreqs8qPHTummMPYsGGDyvyIMtruyAyJSCTCjz/+CIBNCWirbPfo0SOjj0fuCs7Pz4dEItFqnctddjweT6sVoQ8cx+Hbb78FwNyqx44d01ibvL7eK1PAzc0NGRkZqKioqJNQ6ILytADHcUY/njbc3d0V/2dmZtbo4lRG2RK2srJq0PMwFIY4J+XvbHZ2ttZ1a3pdG/L3LjMzU+99GAJXV1dkZmbqdC7y3zbl74ChsbCwwHPPPYfnnnsOALs+f/75J77++mvExsYiNjYW06ZNU/QW0QWzC4CT88orryjuXuUiKHexW1lZ4aWXXqq2zc2bNxX/jx07VuO+66sSVFJSEiorK2scT0JCAoqLizW+bqi7TfmPQkVFhWK+VBMXLlwAAISGhhrcGnv48KHiCzV69GiNQl5cXIzbt28b9NimjDxg8NKlS1rjKgyBtbU1IiMjAbCKaw1JdHS04v///vuvVtuGhIRAKBQCaPjzMBSGOKfmzZvD1tYWABRuXk3U9Lo25O/d/fv3Vard6Yqhf9vi4uK0Th/l5OQoxlmfN34+Pj6YNGkSzp49q7hmv//+e62mD81WzH18fNC/f38AwOHDh3Hjxg1F+dZBgwapjfZVfhPlFnxVZDIZtmzZYoQRV0eX8QDAxo0bte7HxsZG8b8u5Rc1Ib+eAPDdd99pXO/s2bOKkrfK2xgKXa/Lt99+q9e8rrny7LPPAmClXA0dCavteAkJCThy5IjRj6eJtm3bIiAgAAB7z7Xd2FbFwsICQ4YMAQD89ddfjaLtqCHOSbk07F9//aXRcpbJZNixY4feYx0+fLjif3mcU20w9G9bQUGBYipWHVu3blVM2Rnjt60mrKys0KdPHwDsd1BbaeKqmK2YA09c6ZWVlXjxxRcVc0ma+paHhoYq/ldX7xpg0aFxcXGGHagGWrRoobjz3LFjh9p534MHD2L9+vVa96McXHL37l29x9O5c2d07NgRALBlyxbFzZEyhYWFmDZtGgAW5PH666/rfTxNeHh4KIILf/jhB7Vf4osXL+Kjjz4y+LFNmQkTJihEbc6cOTVaqadOncK///6r9/HeeecdRYrNpEmTVDxb6jh06BCuXbum9/E0wefzMXfuXABAWloaxo8fr9EzIU9hVGb+/PmwsLCATCbDqFGjtNbNlkql2L17t8514hsKQ5yT/LtbXl6OadOmqQ3MXLFiBa5fv673OPv3769Iy1y3bh3+97//aVw3Pz+/miVqqN+2SZMmKYLWZs+erdKlUM7Vq1exfPlyAICfn5/CBW5ITp48iTt37mh8vaKiQvGddXBwqDEFVRmzFvORI0cqcjHlPzQuLi4qd4PKPPPMM4qAgg8//BDTp0/HkSNHEBsbix9//BH9+/fHZ599pmjoYmzc3NwUd9h//vknBg4ciAMHDiA2NhZ//PEHXnvtNYwcORIhISFa39TAwEBFvvXq1avx22+/4fbt27hz5w7u3LlTq1SoLVu2wNraGhKJBEOGDMGcOXPw77//4tKlS9iyZQuio6MVX+45c+YYxRXF5/MVOdvXrl1Dz5498cMPP+DSpUv4559/MHv2bPTu3Rs2NjZNql2oQCDATz/9BIFAgOLiYjz11FOIiYnBvn37EBsbi4sXL+K3337DwoUL0aZNG/Tq1atOP8ReXl6KfOnMzEx07NgRr7/+On777TfExcXh/Pnz2L9/P9577z00b94cw4YNw/379w14xk948803MWDAAADAzz//jKioKHz11Vc4ffo0Ll++jD/++AMLFy5EeHg4Nm/erLJtVFQUVq9eDQC4desWWrdujXnz5uHPP//E5cuXcfbsWfzwww+YMWMGAgICEBMTUyuLqCEwxDkNHz5c8Vt58OBB9OjRAz/++CPi4uLw559/4sUXX8SHH36ouMHXl507d8LBwQEymQwvvfQSXnjhBezduxexsbG4cOEC9uzZg4kTJ6JZs2bV5rTl7WIBYNasWfjvv/+QlJSk+G3T1TPn4eGBVatWAWA3hB06dMCXX36JCxcu4MyZM1iyZAl69uyJ4uJi8Hg8bN682SjdC//55x+0bNkSffv2xapVq3DkyBHExcXh9OnT2LZtG3r16qUwJidPnlxjVpEKBi1B0wBMmjRJpcTetGnTtK7/559/KuqCq3v07duXu3HjhtaKR7oU9FdGvi91FeDu37/PBQYGahxPYGAgd/PmTZXmJerYsGGDxn00ZKMVbWi7jgUFBVy7du00Ht/V1ZX7999/uT59+nBA9QYUHFf/FeC0VVOraSy1qeJ39uxZLiAgQOv7I3+oaxqh7fOojt9++41zdXWt8Vh8Pp87duxYrc5bmZo+NyUlJSqlUDU9NJ3X5s2bNTb9UX5YW1vXWEpYHbqWc9Vle10/r3U9J5FIxPXo0UPjdu3bt+diY2O1jkuXKm2XLl3S6TOr7jukXMJb2/q6/C4vW7bMYI1WtKHps6x8rbQ9RowYUa20bU2YtWUOoFp1Ik0udjnPPPMMLl26hJiYGPj6+sLKygoeHh7o06cPNm/ejH/++afOaSm1ISAgAHFxcZg7dy7CwsIgEAggFArRtm1bLFy4EFeuXKmWYqeO119/Hfv378fAgQPh6elZuzu6KgwcOBB37tzBggUL0K5dOzg5OUEgECAwMBCvvPIKTp48ifXr12sMTDMEQqEQp0+fxieffIKoqCjY2NjAwcEBrVq1wpw5c3D16lVFlbOmRteuXZGUlISNGzdi6NCh8PX1hbW1NWxsbBAQEICBAwdi2bJlSEhIqPH7oAvDhw9HcnIyVq9ejaeeegpeXl6wsrKCra0tgoODMWzYMKxZswYpKSk1VlysC3Z2dti7dy+OHTuGcePGITg4GLa2trC2tkZAQACGDx+OTZs2Yfbs2Wq3nzJlCu7du4fFixejR48ecHd3h6WlJezt7REWFoYXXngBGzduRHp6Olq0aGG08zAkdT0nR0dHnDhxAuvWrUOnTp3g4OAAR0dHtGvXDitWrMCZM2cMEtXdoUMH3L59G2vXrsVTTz2l+I1ycHBAVFQUpk6din/++UdtRcJdu3bhs88+Q+fOnSEUCuv0u7NgwQJcvnwZU6ZMUQQB2tvbo1WrVnjnnXcM9p3RxJw5c7B//368/vrr6Nq1KwIDA2FjY6NoMT1mzBj8/vvv+OWXXxQBirrC47gmkKBLEARBEI0Ys7fMCYIgCKKpQ2JOEARBEGYOiTlBEARBmDkk5gRBEARh5pCYEwRBEISZQ2JOEARBEGaO2XZNqw/kpSEdHR1NonUeQRAEUf9wHIeioiL4+voatb5GXSAx10JGRoaiFjZBEATRtHnw4IGidLapQWKuBXnd9wcPHsDJyamBR0MQBEE0BCKRCAEBAQpNMEVIzLUgd607OTmRmBMEQTRxTHm61TSd/wRBEARB6AyJOUEQBEGYOSTmBEEQBGHmkJgTBEEQhJlDAXAGQiqVorKysqGHQRBmgZWVFSwsLBp6GATRaCAxryMcxyErKwsFBQUNPRSCMCucnZ3h7e1t0hHCBGEukJjXEbmQe3p6ws7Ojn6YCKIGOI5DaWkpcnJyAAA+Pj4NPCKCMH9IzOuAVCpVCLmbm1tDD4cgzAZbW1sAQE5ODjw9PcnlThB1hALg6oB8jtzOzq6BR0IQ5of8e0OxJgRRd0jMDQC51gmi9tD3hiAMB4k5QRAE0XgpKWGPRg6JOUEQBNE4efgQuHQJSE9v6JEYHRJzol5YtGiR3m7V7du3g8fjISUlxbCDUiIlJQU8Hg/bt2832jEIgqhHsrKAuDggLQ2QyRp6NEaHxJzQys2bNxETEwM/Pz8IBAL4+vrilVdewc2bNxt6aA3CiRMnwOPxFA+BQAAvLy/07dsXy5cvR25urt77vnXrFhYtWmTUmxaCaPRwHHD/PhNyiQRwcGjoEdULJOaERg4cOIDo6Gj8888/mDRpEjZs2IDJkyfj+PHjiI6Oxs8//6zzvj788EOUlZXpNY5x48ahrKwMzZo102t7YzBjxgzs3LkTmzdvxty5c+Hq6oqFCxeiVatWOHbsmF77vHXrFhYvXkxiThD6IpMBd+8CV68CAgHg4dHQI6o3KM+cUMvdu3cxbtw4hISE4L///oOH0pfinXfeQa9evTBu3Dhcu3YNISEhGvdTUlICe3t7WFpawtJSv4+bhYWFyeUh9+rVC6NGjVJZdvXqVQwcOBAvvPACbt26RcVQCKI+kUiA27eBpCTAxaXJWORyyDI3QWQyIDERuHiR/W2I6Z5Vq1ahtLQUmzdvVhFyAHB3d8emTZtQUlKCzz77TLFcPi9+69YtvPzyy3BxcUHPnj1VXlOmrKwMM2bMgLu7OxwdHfHss88iPT0dPB4PixYtUqynbs48KCgIw4YNw6lTp9C5c2fY2NggJCQE33//vcoxHj58iDlz5iAqKgoODg5wcnLC4MGDcfXqVQNdqSe0bdsWX375JQoKCrB+/XrF8tTUVLzxxhto2bIlbG1t4ebmhtGjR6ucz/bt2zF69GgAQL9+/RRu/BMnTgAAfv31VwwdOhS+vr4QCARo3rw5PvnkE0ilUoOfB0GYHeXlwPXr7AfTw6PJCTlAlrnJcfkysGMHEB8PiMWAjQ3QqhUwYQLQvn39jePgwYMICgpCr1691L7eu3dvBAUF4dChQ9VeGz16NEJDQ7F8+XJwHKfxGBMnTsRPP/2EcePGoWvXrvj3338xdOhQncd4584djBo1CpMnT8aECRPw3XffYeLEiejQoQMiIyMBAPfu3cMvv/yC0aNHIzg4GNnZ2di0aRP69OmDW7duwdfXV+fj6YJ8PH/99ReWLVsGALh48SLOnDmDF198Ef7+/khJScE333yDvn374tatW7Czs0Pv3r0xY8YMrF27FgsWLECrVq0AQPF3+/btcHBwwLvvvgsHBwccO3YMH3/8MUQiEVatWmXQcyAIs6KsDLh2jUWs+/gA1tYNPaIGgcTchLh8GViyBMjLA/z9AXt7lh4ZGwukpgIff1w/gl5YWIiMjAyMGDFC63pt2rTBb7/9hqKiIjg6OiqWt23bFnv27NG6bVxcHH766SfMnDkTX3zxBQDgjTfewKRJk3S2mm/fvo3//vtPccMxZswYBAQEYNu2bVi9ejUAICoqComJieDznzihxo0bh/DwcGzduhUfffSRTsfSFSsrK4SFheHu3buKZUOHDq3mkh8+fDi6deuG/fv3K6YzevXqhbVr12LAgAHo27evyvp79uxRlEAFgOnTp2P69OnYsGEDli5dCoFAYNDzIAizoLSUCXlmJuDnB+g5ldcYIDe7iSCTMYs8L49Z4k5OgIUF+9uqFVv+/ff143IvKioCABWBVof8dZFIpLJ8+vTpNR7jzz//BMAEXJm3335b53FGRESoeA48PDzQsmVL3Lt3T7FMIBAohFwqlSI/Px8ODg5o2bIl4uLidD5WbXBwcFBcQwAqIlxZWYn8/Hy0aNECzs7OOo9BeR9FRUXIy8tDr169UFpaioSEBMMNniDMhZISFuiWmQn4+jZpIQdIzE2GO3eYa93fH6iajs3jseW3brH1jI1cpJUFSR2aRD84OLjGY6SmpoLP51dbt0WLFjqPMzAwsNoyFxcXPHr0SPFcJpPhiy++QGhoKAQCAdzd3eHh4YFr166hsLBQ52PVhuLiYpVrUlZWho8//hgBAQEqYygoKNB5DDdv3sTIkSMhFArh5OQEDw8PxMTEAIDRzoMgTJbiYibk2dlN3iKXQ1fARCgsZHPk9vbqX7ezAzIy2HrGRigUwsfHB9euXdO63rVr1+Dn5wcnJyeV5cpWpDHRFOGuPE+/fPlyfPTRR3j11VfxySefwNXVFXw+HzNnzoTMCG6OyspKJCYmonXr1oplb7/9NrZt24aZM2eiW7duEAqF4PF4ePHFF3UaQ0FBAfr06QMnJycsWbIEzZs3h42NDeLi4vDee+8Z5TwIwmQpLgauXAFyc5mQm1imS0NBYm4iCIUs2K2khLnWq1Jayl4XCutnPMOGDcOWLVtw6tQpRUS6MidPnkRKSgqmTZum1/6bNWsGmUyG5ORkhIaGKpbfMbDrYd++fejXrx+2bt2qsrygoADu7u4GPZb8eGVlZXjmmWdUlk2YMAGff/65YplYLEZBQYHKtpoq5J04cQL5+fk4cOAAevfurVienJxs2METhKlTVMQscnlgEZ+cy3LoSpgILVqwufG0NFbASBmOY8sjIth69cHcuXNha2uLadOmIT8/X+W1hw8fYvr06bCzs8PcuXP12r9c7DZs2KCyfN26dfoNWAMWFhbVIur37t2LdCPUar569SpmzpwJFxcXvPnmm1rHsG7dumppZfaP3TJVRV7ugVDeR0VFRbVrRxCNGpGIRQnn5zOLnIRcBbLMTQQ+n6WfpaY+mTu3s2MWeVoa4O4OjB9ff5/f0NBQ7NixA6+88gqioqIwefJkBAcHIyUlBVu3bkVeXh5++OEHNG/eXK/9d+jQAS+88AK+/PJL5OfnK1LTEhMTARiuPeawYcOwZMkSTJo0Cd27d8f169exe/durYVudOHkyZMQi8WKoLrTp0/jt99+g1AoxM8//wxvb2+VMezcuRNCoRARERE4e/Ysjh49Cjc3N5V9tmvXDhYWFli5ciUKCwshEAjw1FNPoXv37nBxccGECRMwY8YM8Hg87Ny5U2vaH0E0CjiOiXhWFvDgAXNd+vlVDywiSMxNifbtWfqZPM88I4O51jt2ZEJen3nmAMsXDw8Px4oVKxQC7ubmhn79+mHBggUq88L68P3338Pb2xs//PADfv75Z/Tv3x8//vgjWrZsCRsbG4Ocw4IFC1BSUoI9e/bgxx9/RHR0NA4dOoT333+/Tvtdu3YtAJaK5uzsjFatWmHx4sWYMmVKtSI7X331FSwsLLB7926IxWL06NEDR48eVXHFA4C3tzc2btyIFStWYPLkyZBKpTh+/Dj69u2L33//HbNnz8aHH34IFxcXxMTE4Omnn662D4JoFEgkzJWens6C3CoqAEdHEnIt8Di6vdeISCSCUChEYWFhtSAvgM17JicnIzg42GDiA7D0szt3WLCbUMhc603Fo3TlyhW0b98eu3btwiuvvNLQwyGMiLG+P4QZU1wM5OQwK7yggAW3ubgwq0Zf0tKAli2B8HC9d1GTFpgCZJmbIHw+EBbW0KMwPmVlZdUi37/88kvw+XyVQC+CIJoA2dmsJKtIxMqxentTylktoCtFNBifffYZYmNj0a9fP1haWuKPP/7AH3/8galTpyIgIKChh0cQRH2Rm8ui1GUywIS6I5oTJOZEg9G9e3f8/fff+OSTT1BcXIzAwEAsWrQIH3zwQUMPjSCI+iI/n5Vkraxk1jihFyTmRIMxYMAADBgwoKGHQRBEQ1FQwCzysjLWJIXQmyYSVkUQBEGYFCIRE/KSErLIDQCJOUEQBFG/yGurFxQwi5zSzeoMiTlBEARRf5SUsDny/HzW7YyE3CDQnDlBEARhfKRSZoknJbE0NKqtblBIzAmCIAjjIJMxAX/4kFVzE4nYsiq11WUyViemuJilmAcEkM7XFhJzgiAIwnDIZKx85cOHT/o2SySs2YSHB2BlpbJ6QgLw++9AcgpQUQ5YC4DgIGDYsDoVbWtykJgTBEEQhuHhQyA5mTVGqahgAu7mBlhbq109IQHY8i0z3r08AVtblqUWnwBkZgFTXiNB1xUSc4IgCKJulJQAKSms7WNlJbPABQKtm8hkzCIvKGCWuDwOzt6ePU9OAQ4dYqWtyeVeM3SJCJMjKCgIEydOVDw/ceIEeDweTpw40WBjaijUnfvEiRMRFBRksGNs374dPB4PKSkpBtsn0USoqADu3QPOngVu32YT3v7+NQo5wObIk1OYRV41oJ3HY8vvJbP1iJohMSfUIv+B5/F4OHXqVLXXOY5DQEAAeDwehg0b1gAjrB/69u2ruA48Hg+urq7o1KkTvvvuO8hksoYeXq1Yvnw5fvnll4YeBtEYkMnYfPj588CVK0x9AwOZWa0jxcVsjrxKryUFNjbs9eJiwwy5sUNiTmjFxsYGe/bsqbb833//RVpaGgQ63IHXld69e6OsrKzBOqn5+/tj586d2LlzJz766CNIJBJMnjwZCxYsaJDxbNmyBbdv3671dprEfNy4cSgrK0MzanBB6IJMBty4AVy8yJTW3x9wdq51vriDAwt2KytT/7pYzF53cKjDWMvLgd27gdLSOuzEPCAxJ7QyZMgQ7N27FxKJRGX5nj170KFDB3jXQxlGPp8PGxsb8Bto4kwoFCImJgYxMTGYNWsWTp8+DX9/f6xfvx6VlZVqt5HJZBCLxUYZj5WVlUFvoiwsLGBjYwMeFe8gdCE5Gbh7F3B3Bzw9Wc9xPQgIYHPj2TkAx6m+xnFseUgwW08TMhmbpr95k/1VcZZJpcCHHwJ79wJvv139II0MEnNCKy+99BLy8/Px999/K5ZVVFRg3759ePnll9VuI5PJ8OWXXyIyMhI2Njbw8vLCtGnT8OjRI5X1OI7D0qVL4e/vDzs7O/Tr1w83b96stj9188YnT57E6NGjERgYCIFAgICAAMyaNQtlVW7zJ06cCAcHB6Snp+O5556Dg4MDPDw8MGfOHEilUr2uiZ2dHbp27YqSkhLk5uYCAHg8Ht566y3s3r0bkZGREAgE+PPPPwEA6enpePXVV+Hl5QWBQIDIyEh899131fablpaG5557Dvb29vD09MSsWbNQXl5ebT11c+YymQxfffUVoqKiYGNjAw8PDwwaNAiXLl1SjK+kpAQ7duxQTBnI4xI0zZlv2LBBcS6+vr548803UVBQoLJO37590bp1a9y6dQv9+vWDnZ0d/Pz88Nlnn+lxZQmTJzubhaA7OzM/eB3g81n6mbMzmzsvKWH6W1LCnjs7A0OHag5+S0gA1qwBPlsFfPkl+7tmDVsOjgM+/RQ4fpz1RJ86tdFXmqNodmPAcabl1rGz0/uDHBQUhG7duuGHH37A4MGDAQB//PEHCgsL8eKLL2Lt2rXVtpk2bRq2b9+OSZMmYcaMGUhOTsb69etx+fJlnD59GlaP80w//vhjLF26FEOGDMGQIUMQFxeHgQMHoqKiosZx7d27F6WlpXj99dfh5uaGCxcuYN26dUhLS8PevXtV1pVKpXjmmWfQpUsXrF69GkePHsXnn3+O5s2b4/XXX9fruty7dw8WFhZwdnZWLDt27Bh++uknvPXWW3B3d0dQUBCys7PRtWtXhdh7eHjgjz/+wOTJkyESiTBz5kwAQFlZGZ5++mncv38fM2bMgK+vL3bu3Iljx47pNJ7Jkydj+/btGDx4MF577TVIJBKcPHkS586dQ8eOHbFz50689tpr6Ny5M6ZOnQoAaN68ucb9LVq0CIsXL0b//v3x+uuv4/bt2/jmm29w8eJFlfcQAB49eoRBgwbh+eefx5gxY7Bv3z689957iIqKUnxmiEZAURFw6xZTVycng+wyPJyln8nzzHNzmWs9ohUTck1paTWltM0XfgP3X39mY509G+jSxSDjNWVIzI1BaWkdJ3oMTHFxrQJTqvLyyy9j/vz5KCsrg62tLXbv3o0+ffrA19e32rqnTp3Ct99+i927d6tY7v369cOgQYOwd+9evPzyy8jNzcVnn32GoUOH4uDBgwoX7wcffIDly5fXOKaVK1fCVilyZurUqWjRogUWLFiA+/fvIzAwUPGaWCzG2LFj8dFHHwEApk+fjujoaGzdulUnMZdKpcjLywMA5OXl4ZtvvkFcXByGDx8OOzs7xXq3b9/G9evXERERoVj22muvQSqV4vr163Bzc1Mc/6WXXsKiRYswbdo02NraYvPmzUhMTMRPP/2E0aNHAwCmTJmCtm3b1ji+48ePY/v27ZgxYwa++uorxfLZs2eDe+xajImJwfTp0xESEoKYmBit+8vNzcWKFSswcOBA/PHHH4rpjfDwcLz11lvYtWsXJk2apFg/IyMD33//PcaNGweA3Vg0a9YMW7duJTFvLFRUMCEXiVj1NgMSHs7Sz3StAFdTSlvziz/APf2x52v+fKBTJ4OO11QxSTf7zZs3MXr0aISEhMDOzg7u7u7o3bs3Dh48qNP2BQUFmDp1Kjw8PGBvb49+/fohLi7OyKNuvIwZMwZlZWX4/fffUVRUhN9//12ji33v3r0QCoUYMGAA8vLyFI8OHTrAwcEBx48fBwAcPXoUFRUVePvtt1XmauWWak0oC3lJSQny8vLQvXt3cByHy5cvV1t/+vTpKs979eqFe/fu6XSshIQEeHh4wMPDA61atcK6deswdOjQaq7yPn36qAg5x3HYv38/hg8fDo7jVK7HM888g8LCQsXn8vDhw/Dx8cGoUaMU29vZ2SmsaG3s378fPB4PCxcurPaaPvPg8vdm5syZKnEKU6ZMgZOTEw4dOqSyvoODg8oNgrW1NTp37qzz9SVMHJmM1VNPT2etSo3grubzgWbNgMhI9ldbeIy2lLaoB4fxUvrnAIBHL78BjBxp8LGaKiZpmaempqKoqAgTJkyAr68vSktLsX//fjz77LPYtGmT1h84mUyGoUOH4urVq5g7dy7c3d2xYcMG9O3bF7GxsQgNDTX+CdjZmVY+hZL1qA8eHh7o378/9uzZg9LSUkilUhXRUSYpKQmFhYXw9PRU+3pOTg4A9h4DqPZ+eHh4wMXFpcYx3b9/Hx9//DF+++23anPxhYWFKs/lc8jKuLi4VNtOE0FBQdiyZQt4PB5sbGwQGhqq9vyCg4NVnufm5qKgoACbN2/G5s2b1e5b+Xq0aNGimvi2bNmyxvHdvXsXvr6+cHV11el8akL+3lQ9trW1NUJCQhSvy/H39682bhcXF1y7ds0g4yEamAcPgDt3AC8vNv/cwGhKaWuedQrD4hYDAI56vASfgZNQ8y9J46Hh3xk1yOdQlXnrrbfQoUMHrFmzRquY79u3D2fOnMHevXsVgjNmzBiEhYVh4cKFatOsDA6PVye3tiny8ssvY8qUKcjKysLgwYNV5oqVkclk8PT0xO7du9W+XlVU9UEqlWLAgAF4+PAh3nvvPYSHh8Pe3h7p6emYOHFitfxvCz2jbeXY29ujf//+Na5nW+XXRT6OmJgYTJgwQe02bdq0qdPYTAFN15dr5NHDTYK8PCA+nvm+6xjwZiiUU9rkP7N++VfxwoX3YMFJcdlnMH4JnIW5jjzIZEBmOpBfAdjwgRYtGm81OZMUc3VYWFggICAAFy9e1Lrevn374OXlheeff16xzMPDA2PGjMGuXbtQXl5eL7nRjY2RI0di2rRpOHfuHH788UeN6zVv3hxHjx5Fjx49qombMvKc5qSkJISEhCiW5+bm1mgxX79+HYmJidixYwfGjx+vWK4ccW8KeHh4wNHREVKptMabgWbNmuHGjRvgOE7FytUln7x58+Y4cuQIHj58qNU619XlLn9vbt++rfLeVFRUIDk5WacbG6IRUFLCcr6kUlae1USQp7TFJ7C/XqIkjD07E1bSctzx6o5vPBeiZQgfpaUsul2UANyzAHLdgFatgAkTgPbtG/osDI9J36PI50Lv3r2LL774An/88QeefvpprdtcvnwZ0dHR1XKSO3fujNLSUiQmJhpzyI0WBwcHfPPNN1i0aBGGDx+ucb0xY8ZAKpXik08+qfaaRCJRpDb1798fVlZWWLdunYoF9+WXX9Y4FrklqLwdx3EqwV+mgIWFBV544QXs378fN27cqPa6PK0NYN6ojIwM7Nu3T7GstLRUo3temRdeeAEcx2Hx4sXVXlO+Rvb29tVSy9TRv39/WFtbY+3atSrbb926FYWFhRg6dGiN+yDMmLIyNj9+/TprnOLl1dAjUkE5pc3lyjGM/3cybCuLkCpsg889V8LRxRKRkcC3W5ngOzoAQUGAqysQGwssWQKoCasxe0zaMp89ezY2bdoEgBUOef7557F+/Xqt22RmZqqtFObj4wOARd5GRUWp3ba8vFwlr1ckEuk79EaJJlexMn369MG0adOwYsUKXLlyBQMHDoSVlRWSkpKwd+9efPXVVxg1apQi13vFihUYNmwYhgwZgsuXL+OPP/6Au7u71mOEh4ejefPmmDNnDtLT0+Hk5IT9+/frPAden3z66ac4fvw4unTpgilTpiAiIgIPHz5EXFwcjh49iocPHwJgwWXr16/H+PHjERsbCx8fH+zcuVMlWl4T/fr1w7hx47B27VokJSVh0KBBkMlkOHnyJPr164e33noLANChQwccPXoUa9asga+vL4KDg9FFTcqOh4cH5s+fj8WLF2PQoEF49tlncfv2bWzYsAGdOnWqMRqeMEMkEibc2dms41lxMet05utrkvnZ4aFSzHfcCPeUbQCA2w7R+DZ0FVqE2mLIENagRR7tblcKFD3OpmvVis0afP890LZt43K5m7SYz5w5E6NGjUJGRgZ++uknSKXSGnOQy8rK1LrRbR7P91QtKqLMihUr1Fo3RO3YuHEjOnTogE2bNmHBggWwtLREUFAQYmJi0KNHD8V6S5cuhY2NDTZu3KgQvL/++qtGy8/KygoHDx7EjBkzsGLFCtjY2GDkyJF46623dErlqk+8vLxw4cIFLFmyBAcOHMCGDRvg5uaGyMhIrFy5UrGenZ0d/vnnH7z99ttYt24d7Ozs8Morr2Dw4MEYNGhQjcfZtm0b2rRpg61bt2Lu3LkQCoXo2LEjunfvrlhHHm/y4YcfoqysDBMmTFAr5gDLM/fw8MD69esxa9YsuLq6YurUqVi+fLlKjjlh5hQUsOTu9HTWdxwAhELmyzZBEQfAxvnhh3A/exYAIBr2MiTPz8BbQksEBNTcwMXfn2XZ3bnDUuIaCzzOjKJUBg4ciIKCApw/f17j/J+DgwPGjh2LrVu3qiw/fPgwhg4dij///BPPPPOM2m3VWeYBAQEoLCyEk5oiCWKxGMnJyQgODlbcLBAEoRv0/WlgHjxgc+JlZYCjI3uYQLS6Vm7fBubNYzcfAgHw0UdAlZvdmzdZRbjAQGZ5O5ekIVvYEtkurAKNRMKEfPVq3VPQRSIRhEKhRi0wBczKyTBq1ChcvHhR67y3j48PMjMzqy2XL1NX6ESOQCCAk5OTyoMgCKLRcf8+cO0aE+/AQMDFxfSF/I8/gFdfZULu5wds315NyIGaG7iUlrLAfKHQuMOtb0z83VNF7iKvmkesTLt27XDy5EnIZDKVILjz58/Dzs4OYY3Jr0IQBFFbUlNZcJutLYsiM2U4jnVo++knJuYA0L078MknGtW4arR71d2lpQEdO7I0tcaESVrm8kIaylRWVuL777+Hra2tospWZmYmEhISVDpXjRo1CtnZ2Thw4IBiWV5eHvbu3Yvhw4dTWhpBEE0TjgNSUphFbupCLhIB//sf8OKLwKRJT4T81VeBL77QalZXbeBSWsqy60QiFvzm7g6MH9+4gt8AE7XMp02bBpFIhN69e8PPzw9ZWVnYvXs3EhIS8Pnnn8Phcd3z+fPnY8eOHUhOTlZ0kRo1ahS6du2KSZMm4datW4oKcFKplILbCIJomnAca1168yartGKKPmaOYzljP/8MHDvGepEDbG58wABg1CigdWuddqXcwEWUAKSWAQ/dmEU+fnzjzDM3STGXB7B98803yM/Ph6OjIzp06ICVK1fi2Wef1bqthYUFDh8+jLlz52Lt2rUoKytDp06dsH37dp1KYxIEQTQqOA64d48JuaOjwTqeGZS8PODdd1mYuZzQUFZbffBgNu5aIm/gknkRyPcAbNo27gpwZhXNXt/UFMFI0bgEoT/0/akHOA64e5cJuVColyganaws4I03WFCerS0wcCAT8chIw6THpaUBLVtq7qeqA+YQzW6SljlBEARRR+Q5WLdvswnkBm7LLJOpaXOakQa8/jqQmQn4+ADffMMSwYlaQ2JOEATR2BCLWbRXcjKrq17Hzol1JSGBzV8np7COZ9YCoINLMsadewNWj3JZetyGDazFahXU3gQ0Uld5XSAxJwiCaEwUFjK3elYWK8fawBX7EhKALd+yYnNensyTLsxJxKi/34SV5BHK/UMg2LyBhZmr2bbqTUBwEItWr4PXvFFCYk4QBNFYyMlhOeTFxcxdXcf2v3VFJmNiLK+TzuMBvg9v4MVLb8NWUoQU23Ac7rwe012dq+VJq7sJKCtj+eOZWSxanQT9CeSsIAiCMHc4jhWDiY1lKV1+fg0u5ED1OukBeXF4+fQbsK0sQpprG3zf9RvczHDGgweq21W9CbC3Z651e3v2vKCANVORyer9lEwWsswJgiDMGeVANwcHkyoGU5IvRvPcq+icfwlBeZfgW3ALfE6KFPeO+KnbGoBnh4oC5khQpqZmKV6ewL1ktl6zZvV1NqYNWebGpKKClR9qyEcNXea0ERsbi0GDBsHJyQmOjo4YOHAgrly5onbdM2fOoGfPnrCzs4O3tzdmzJiB4irf0PT0dAwdOhROTk6IiIjAwYMHq+3nwIED8PT01FqyVx1XrlxBTEwMAgICIBAI4Orqiv79+2Pbtm2QSqWK9Xg8nqIlKEGYPaWlwNWrLD/b1bXhhVwmA+LigE2bgClT0OqNvnj37pvombQN/o+ug89JcdunL37s/iUqLe0gFrN58KqB9sXFbI7c1lb9YWxs2OtVbwKaMmSZG4uKCuDChYb/tDk4AJ07s97EtSAuLg49e/ZEQEAAFi5cCJlMhg0bNqBPnz64cOGCSgGeK1eu4Omnn0arVq2wZs0apKWlYfXq1UhKSsIf8jKMYP3Q09PTsXLlSpw+fRqjR49GQkKConqfWCzGnDlzsHTpUghrUaHq22+/xfTp0+Hl5YVx48YhNDQURUVF+OeffzB58mRkZmZiwYIFtTp/gjB58vJYoFt+fsMHuhUVAb/9Buzdy/K6H8MDILL1wnWbjsgP6ohUz44Q2fkAYDMD2TlARCsWoa6McrMUe/vqh9N0E9CUITE3FhIJE3Jra1aOsCEof3zrKpHUWsw/+ugj2Nra4uzZs3BzcwMAxMTEICwsDAsWLMD+/fsV6y5YsAAuLi44ceKEoqBCUFAQpkyZgr/++gsDBw5EWVkZjh07hhMnTqB3796YPn06zpw5gyNHjmDatGkAgNWrV0MoFOK1117TeZznzp3D9OnT0a1bNxw+fBiOSkUxZs6ciUuXLuHGjRu1OneCMGk4jhVYSUgAKisbNlfrzh3WBOXwYaawAFPYHj1Y7dSOHZFR7I8DW3kskI0DbKRs1ewc5kgYOrT68Ks2S1F2tWu7CWjKkJgbG4GA+YQaCj3d7CdPnsSgQYMUQg6w9rJ9+vTB77//juLiYjg4OEAkEuHvv//GrFmzVCojjR8/HrNmzcJPP/2EgQMHQiwWg+M4uLi4AGDubmdnZ5SWlgJgLvhPP/0Uhw8fVul2VxOLFy8Gj8fD7t27VYRcTseOHdGxY0e9rgFBmBwVFUBSEhNRBwe16VxGRyoF/v0X+PFHFnAnp3lzYOxYVn5VyT8ejid10pNTgNxcZlVHtGJCri4iXd4sJTPrydy5jU3NNwFNGRJzQi3l5eWwVTNhZWdnh4qKCty4cQNdu3bF9evXIZFIqgmmtbU12rVrh8uXLwMAXFxc0Lx5cyxfvhzLly/HmTNncOXKFaxbtw4AMG/ePAwePBi9e/fWeYylpaX4559/0Lt3bwQGBtbhbAnCDCgqYnPj6emAp6fmCWVjwnHAokVPuphZWAB9+gBjxgAdOmgsvyqvk16b4i/KzVJ0vQloypCYE2pp2bIlzp07B6lUCovHKS4VFRU4f/48AGZJA6wNLcCs9qr4+Pjg5MmTiuebN2/GqFGj8L///Q8Ac4P36NEDZ86cwc8//4z4+PhajfHOnTuorKxEVFRU7U+QIMwFqRTIzmZu9aIilnZm2UA/3bt3MyG3sGDtx154QW3VNnXw+bWPPNfnJqCpQpeEUMsbb7yBxMRETJ48Gbdu3cKNGzcwfvx4hXiXlZWp/FXXJ97GxkbxOgA89dRTuH//Ps6dO4f79+/jiy++gEwmw4wZMzB79mw0a9YM33zzDcLDw9GyZUts3LhR6xhFIhEAqHWvE4TZU1nJgsnOngUuXmQu9oYU8kuXgMeeNMyaBbz5ps5CXhfkNwGRkewvCbl6yDIn1DJ9+nQ8ePAAq1atwo4dOwCw+ed58+Zh2bJlip7ycld8ubz3sBJisbiaq97BwQFdunRRPN+2bRuysrLw/vvv4+jRo5g7dy527doFHo+Hl19+GS1btkS/fv3UjlE+R19UVFT3EyYIU6G8nJViTUkBHj5kk8Xe3g0n4gAbz/vvMy/BkCFsbpwwKegeh9DIsmXLkJ2djZMnT+LatWu4ePEiZI9LLoWFhQF44l6XW+zKZGZmwtfXV+P+RSIRPvjgA3z66aewt7fHDz/8gFGjRuG5557DiBEjMGrUKOzevVvj9i1atIClpSWuX79el9MkCNOgrIy1Kz11iuVqi8XMEvf0bFghLy8H5s1jZddatgQWLDBMa1LCoJCYE1pxcXFBz549FfPSR48ehb+/P8IfR5+0bt0alpaWuHTpksp2FRUVuHLlCtq1a6dx30uWLEFwcDBeeeUVAEBGRoaK+Pv6+irm5tVhZ2eHp556Cv/99x8eVK0HSRDmAsexoLazZ1kBGI5jddXd3Ru+JCvHAZ9+ygLvhEJg1aqGzc6pLVIpS81t6OtYD5CYEzrz448/4uLFi5g5c6YifUwoFKJ///7YtWuXirt7586dKC4uxujRo9XuKzExEevXr8dXX30F3uO7fC8vLyQkJCjWiY+Ph3cNc3ILFy4Ex3EYN25ctYpzAKtiJ58mIAiTo6wMuHGDpXhVVrJWoC4uBpkYlslYufabN9lfveqY798PHDzIxrN8OStOYy7IZOwmydeXeTgaOTRnbmzUzCWbw7H/++8/LFmyBAMHDoSbmxvOnTuHbdu2YdCgQXjnnXdU1l22bBm6d++OPn36YOrUqUhLS8Pnn3+OgQMHYtCgQWr3P2vWLIwdOxadO3dWLBs1ahRGjBihqNZ28OBB/P7771rH2b17d3z99dd44403EB4erlIB7sSJE/jtt9+wdOlSva8DQRgNeYR6fj7g5WVQi9cgrUOvXgVWr2b/v/UWoBTrYvJwHJCRwXq5R0U1eD/3+oDE3FhYWrI8iuLiOtVHrzMODnrNt/n5+cHCwgKrVq1CUVERgoODsXTpUrz77ruwrLK/6OhoHD16FO+99x5mzZoFR0dHTJ48GStWrFC778OHD+O///5DYmKiyvJhw4Zh2bJlWLduHTiOw4oVKzB48OAaxzpt2jR06tQJn3/+Ob7//nvk5ubCwcEB0dHR2LZtG2JiYmp9/gRhNCoqgHv3WOEXPt/guVYGaR2al8fmySUSYMAAYNw4g43P6MinLVxcgLZtm0zNVx7HcVxDD8JUEYlEEAqFKCwsVKluJkcsFiM5ORnBwcGwUXdXXVHBvgwNiaVlrUu5EkR9UOP3pzGSn8+6m2VlsTlxdYXH64BMBqxZo7kManIKK7oya5aa+wd5GtzZsywNrbSUVXXbts18LFuOAzIzAScnoF07Ns9vAGrSAlOALHNjYm1NQkoQBAvESk0FEhPZDb6/v1GCsmrVOtRLzPLX5QJeJYi03NMfeTNXwcfGznyCq7Ky2A1SmzYGE3JzgcScIAjCmJSWQhZ/G5nnUlHEc4KttwcCeMaJPtaldWhuLiC+mwbJtOmwzMt68qKFBUpD2+KSdXec5roi2SIMVrv5CD5dy7n2hiIri514u3bMxd7EIDEnCIIwFtnZSDqYgP9+yce1XB+UVlrrF4ymI7q0DhWWZMBr4XRYlmWhwNId19z6Ij+0Kxz6dsSfpxwUc+0B+sy1NxTZ2cwL2rYt6+veBCExJwiCMDQSCZCcjDt/JOKHH3hILQuElxcP7kYWyJpahxYlZeHD+9PhLM1Crl0z7Oy1CXmcO7Kzgbxt7AYgIuLJdvb2bD/JKcChQ6xOukmVU5XJ2By5vT2LWm+ILnImgim9LQRBEOZPcTFw+TJk127g8L8OSBV7ITiYB3t7JoRygSwoYAKpV/63BuStQ52dmQCXlLDp+pIS4FFiDhbcnw4vaQby7QOxp/dGlNm5w94ecPcACguftCRXpupcu8kgkbCgPVdX1rHN07OhR9SgkJgTBEEYgpISVo71/HkgPR0PpL64neGgUzCaIZG3Dm0VDhSK2P65vDzMT50OH2ka8m39sLvXNyi29VBsI5GwxJeyMnYaVbGxYXPxoiIDFKIxBGIxSz8LDASio9ndSxOH3OwGgLL7CKL2NIrvDccBjx4xV29aGlNCJyfA3x/Ft3g6BaOpKVxYZ5Rbh5al56P5yumwKrmPPGsf7Om5EUW2XirrW1kyMa+oZIXoqiIWs+X79gJ5+XUoRGMIRCL2aNmSnaSVVT0e3HQhMa8DVo8/RKWlpdW6gxEEoZ3S0lIAT75HZoVEwpQ4LQ3IyWHPnZ1V5mx1CUazFhivpgmfDzRzegTMfR1IT4HE3Qtr/TdCwvNB1eE4OLBU8ocPq9eY4jjWwK2khGXTeXnpWYjGEOTlsWsdFQUEBZnYBH7DQmJeBywsLODs7IycnBwArPEHj7oJEYRWOI5DaWkpcnJy4OzsDAtza4KRmwvExzOL3MKCpUGpKXpTUzBadg4r4BIQYKRxZmWx6jD37gEeHuBv3AinvX5qxwOwUxAK2enx+ey5WMwCxUtKHs/1BzdAcFxFBbtzKCp6kkP+uFsj8QQS8zoibwQiF3SCIHTD2dm5xkY6JsfDh8C1a0zlaugxLg9Gy8x6UshFIZA5zJAfOtRIAnjuHPDBByyqzc0N+OYb8JsFaB2Pjy8woD/r+5KcwkTdWgD4B7AgOl/fmuf+AwLY3+JiZu3XulKtRMKEu6yMibhMxlLObG0f3x0FN8kccl2gcq5aqE0JP6lUikp1k00EQVTDysrK/CxykQi4fJlZiLWwDNU1PQkJZkJucNe0TAZ89x2waRMz/8PDgZUrVbqG1TQemUxVkEVFwNqvWKyZOmGWStn6I0eyTql6N3fJy2N3Fg4O7OHqyv7a27M5gAbs6U7lXJsQFhYW5vfjRBCEbpSWAtevs3yyWrbTVA5G09ti1YXCQuDjj4HTp9nzkSOBOXMAgaBW4+HzgWbNnqyfmlrz3H9lJbtBKK/Qo7kLx7EpAWtroGNH1umMymDXGhJzgiAIbZSXMyHPyWE11fWIi6kqkAYnPp51OcvMZOL93nvAs88aZDw1zv1nM4+4hYUec+pSKRuzUMiC2tzcdD9nQgUKBSQIgtBEZSXzHaens0ljU4ue5jjg55+BV19loujvz9zsWoS8tmgrRJOcwu4drK1ZlHut8ukrK1k2gKcnK/pCQl4nTOyTSRAEYSJIpWyCOTmZCXkDztmq5f59YMYMYNkyJoy9ewM7d7L8awOjrhBNoYhF4w8bxlK9teXTV5RXyacXi4GMDOYeaNcOcHQ0+JibGib26SQIgjABOA5ISgLu3GEmpxFz4asGnNU4ny4WM+t7504m4lZWwLRpwPjxRvUcaJprf/AAOHS4Fvn0xcUsrS8sjN14mGOdAROExJwgCKIqycnA7dvM9asmh9xQqIss1xgBznHAv/8Cq1ezgDEAXLfuyHh5DgqcAuHwwEiBdUqom2vXNqcOmRQFmeVoHVqBAGsx8KCSeThatwZCQkxv2sKMITEnCIJQJjOTBZQ5OVUzNWttRWshIQHY8i0ULUe1RoA/eACsWgWcOcOee3sj7cU5+F9mHyTv5jVoeVXlfPr0e2IEuhTD3kKMigoOufl8eDkLMGCQAHw/Xxbo5uDAItapwJZBITEnCIKQ8+gR6yJiacnEXIlaWdE1IJOxfRUUqFqz1SLA+XfA3/cTcPDgE5f6uHG43eNVbN5po9uNgDF5HAkX7lSMN4ZJ8PdJGyRkCJHDhQB2dgjuY4sR420R2kVAVriRITEnCIIAWC75zZvsb5Vc8lpZ0Trw4MGTKmxVDVQLToKnZSfQ8fefwP8h7skL3boBc+dC5h+Ig2t0uBEwZu/xwkJWRIfHY5Z2YCCaR7sj+DUn3MlyQKGIB6EQaNGCNLy+IDEnCIKorGSu9ZycasXSdbaiayGexcWo1lHNXpyPdik/Izr5AJzErDw0x7cAr19fYMwY1uqTx8ODVM03AlVTwYyS215UxG54IiJYlTYnJ0WRFz6AMKERjknUCIk5QRBNG5kMSExkpc78/KopsjYrWl/xVO6o5mpdjL63vka7lF9gKWMloYutXXHSYyQiP34enLsXm6O/z+4z1N0IKGPM1qooL2d3Na1bM7ObMBlMUswvXryIHTt24Pjx40hJSYGbmxu6du2KpUuXIiwsTOu227dvx6RJk9S+lpmZaX6NHQiCMC4pKU9S0NTkkhtDPAMCgOBmHOzPHUVM1mo4lucDANJconApZAz+qHwa7r7WuHGcDU95jr5DxwZqrSqVsij6Fi1YqTfCpDBJMV+5ciVOnz6N0aNHo02bNsjKysL69esRHR2Nc+fOoXXr1jXuY8mSJQiu8oFzdnY20ogJgjBLlCPXNaSgGaMvOT8zHdPjV8IhlUWn59oF4s+27yPesTOycwBLKyAvl2lntTn6TMBZCGRl12NrVY5jB/b1Zbnh1IfC5DBJMX/33XexZ88eWCsV2x87diyioqLw6aefYteuXTXuY/DgwejYsaMxh0kQhDnz8KHGyHVlDNqXXCIBdu0CtmyBQ3k5ZJZWOBs+CT/ZTUCpWABrjlVZe/Soulgrz9F72zJBr7fWqjk5rEpbRES1xi2EaWCSYt69e/dqy0JDQxEZGYn4+Hid91NUVAQ7OzvqZkYQBKOigol4VhbrEFJeXmMXNF37kgNs2l1jDvq1a6z06t277HnHjuC//z66BQbBXyl3XcaxujDa5ugLCoBRo4DYS6q9xyNaGaG1amEh+9u6tdabHqJhMUkxVwfHccjOzkZkZKRO6/fr1w/FxcWwtrbGM888g88//xyhoaFatykvL0d5ebniuUgkqtOYCYIwAaRSZurm5bGGKcXFTBWFQp2be8hrk8vzzKuKJwCsWaMhBz1UysqvbtnCgu2cnYGZM9mGPB74UA2cu3lTtzl6Tw/g3XeN3FpVLGbR623bsoYohMliNmK+e/dupKenY8mSJVrXs7Ozw8SJE9GvXz84OTkhNjYWa9asQffu3REXF4cALb6wFStWYPHixYYeOkEQDYFEwpQuLY2JuUzGXMU+PnrN+WqqTZ6YqDkHvTQlG3MKPoJdwuN88cGDgdmzmaBroDZz9EZtrSqRMO9Fy5ZAYKCRDkIYCh7HcVxDD6ImEhIS0KVLF0RGRuLkyZO1dpufOnUKvXv3xtSpU7Fx40aN66mzzAMCAlBYWAgnci8RhPlQVsYqvaSkAHZ2zAo3QkMPmYxZ5Orm01tk/IchlxbDUVoIzs4OvPfee2LG67lPjmPWf0QrYNYsIxRkkUrZ3UJZGbtjCQxkXc2aeDMUkUgEoVBo0lpg8pZ5VlYWhg4dCqFQiH379uk1/92zZ0906dIFR48e1bqeQCCAgII7CMK8KSxkvuqsLBZ9bUQhUpeDbiGtwFM316Lz3f8BAO7bh8Pi0+Xw66abdavrHL1BhFwu3GVlTMh5POZacHBgJn9gYJMXcnPBpMW8sLAQgwcPRkFBAU6ePAlfX1+99xUQEIDbt28bcHQEQZgcWVlMyIuLjd9CDFVy0DkOHkV38eylj+FdmAgAOBfyMnY4voW3nKyhPcxOlZrm6A0S4PboERNxJyc2H+7szPz6dnbs7oEaoZgVJivmYrEYw4cPR2JiIo4ePYqIiIg67e/evXvw8PAw0OgIgjApZDLmUo+PZ/Ph/v7GO1ZFBXD/PpCSAt+rqXjtQSp876bCoywVNpWsckyJtTMOdliEa449wRfpV8BF0xy9Qe5PCguZVd6undqqd4T5YZJiLpVKMXbsWJw9exa//vorunXrpna9zMxMFBYWonnz5rB67ArKzc2tJtqHDx9GbGwsZsyYYfSxEwRRz1RWsii0O3eYlWnMOc3z54H332cR3gBcAHRRelkGPu55dcWh9h+hyMYD2Sl1K+BilAC34mL2aNPGwJVliIbEJMV89uzZ+O233zB8+HA8fPiwWpGYmJgYAMD8+fOxY8cOJCcnIygoCADLUW/fvj06duwIoVCIuLg4fPfddwgICMCCBQvq+1QIgjAmBQVAUhIzX728NFZxU0bvnuS3bwPz5gElJcwdHRQENGuGXPsgHLrVDPckzQD/AFjaC9j8doqRCrjUhdJSds0iI40YBk80BCYp5leuXAEAHDx4EAcPHqz2ulzM1TF27FgcOnQIf/31F0pLS+Hj44MpU6Zg4cKF8PLyMtaQCYKoT4qLmas7NZW5vf381NZVr4rePcmzsoB33mFC3qEDsG6dolOYB4CuCUCefL8PjVjApS6IxSzXvlUrICSE5sQbGWaRmtZQmEM6AkE0KcrLH4eQJzNBd3XVeUJaU09yeYS4xp7kIhHw2mvAvXtMBLduZfnqVdDb4q8PKiqeNEmJiKDa6rXEHLTAJC1zgiAIFSQS1ujj7l1WjlUorFUhE717kldUAHPmMCH38ADWrlUr5ICRC7jUBfm1CwlhVjkJeaOExJwgCNOF41gVsnv32F87O71MXr16kstkwMKFQFwcU/21awFza6EskbASts2aMYtch6kIwjyhd5YgCNOksJCJeFoaE29fX73FSK+e5OvWAX//zSzZVauAGno7mByFhewREMAC3pS6UBKNDxJzgiBMi/JyFtx27x6b1Pbw0ClKXRu17kn+v/8BO3ey/z/+GOjcuU7Hr1ckEjY/bmPD0s+aNSOLvAlA7zBBEKaBTMbmdu/cAfLzARcXwN3dILuuVU/yY8eAzz9nL775pk711E0GuTXu68sCAFxcGnpERD1BYk4QRMNTWMgKv2RkMIvSwKHgOtc7vxIHfPghU/jnnwcmTjTYGIwKWeNNHnq3CYJoWB4+BK5eZSlgXl5Ga+xRY71zyzusQXhFBdC3L/Dee6afi81xLES/qIis8SYOiTlBEA1HXh4T8tJSVvjFyOKpsd55ThYw6W22sF07YOlS007hksmeiLhQCLRty1L1yBpvstA7TxBEw5CTA1y7xgLe6tARsbZUywcvKADeeouZ6iEhrJl4HQPujIZUyrqdlZSwgjnR0SxdzlTHS9QbJOYEQdQ/WVlMyCUSvXO3DVJxTSxmrvWUFObiX7vWuI1a9EUiedKy1NWVFX/x8gIEgoYeGWEikJgTBFG/ZGQA16+z+V49+yXoXWNdGYkEmD+f3VQ4ObG8clMqClNezu5USkrYXYqrK8sX9/KinHGiGiTmBEHUH+npTDz5fJY/rgeaaqzHJ7BodY011pXhOGD5cuDkSWbdrlnDXOwNCcex2IHiYuYxEAjYTUZwMAu3d3GhOXFCI/TJIAjCuFRWMoF69AiIj2dWpaurXrvSu8Y6wCzdmzeB2FjWl/zKFbbS8uUs6K2h4Lgn+eH29iy33suLBbY5OZlQtxbClCExJwjCsEgkTLxFIpZ2lp/PLE6JhImTs7Peu65VjXXfShYpHxvLHjdusLQz5Q3mzwf69NF7PHWmpIRdH0dHdkPh5aW+RB1B1ACJOUEQhqGyEkhKYsFtpaXsuZUVa47i6WkQF7GuNdYrE+4Cs+aysrDKuLmxCPAOHYAuXR6XfGsAKipYNL+VFXMjBAWRiBN1gsScIIi6U1HBXNjJycw97O5ulOIvutRY71z8D0I+WQSIyyBxEKK8XVfY9owGv2MHlpPWkIVgpFKWW19ZCfj7s/lwPaccCEIZEnOCIOqGspD7+Bg10lpbjXXIpOh+dSOGZW8DANx26oSNzVagQuKM4BRgWGsgvCELuhUVsWkHT0+gRQv2l+bDCQNBYk4QhP6Ul7O56NRUVvjFwNa4ulxydTXWUSTCc5c+RJuiMwCAIx6v4GTbt+Fqb1nrSHeD5K9X3WF2NtuJvG66kUrWEk0XEnOCIPTDyEKuLZdcuca61f07eCt5DjzK01DBF2B7wEfIaT8ItrWJdNfhmDrnrysjFjMh9/BghV4M1AWOIKpCYk4QRO0Ri1nhlwcPWE11A+c/65JL/u4sDvk/HIHrN8tgUV6GSg8ffO69CkU+4bCvKdK9mX7HrJWgP3zIAgFbtGB3EFRylTAiJOYEQdSOsjJW+CUjwyBCXtWt7eenPZc8JVmGxG+OoWXeNnjcvs1e7NwZd8cvx72tzgisIdK9uFj9GHTOX68sZ/PfFhbMG2Fp+eQBPGlHamfHIuf9/GhunDA6JOYEQeiOWMyEPD3dIEKuzq3t7vbEc68c4MaXSRCZ9iem3tkOz5IUttDWFnjlFeC112CbblljpLu1gN0wVEXn/PVkCZpZZrGyr5WV7FFWxv5KpWwDjmODDw9nkf0EUQ+QmBMEoRsSCavgZkAhV+fWTkxkKdhubkyULaTlaJt6EN2SvodzaQYAoMTCESXDXoTn22MVRWi0RbpzHJCdw3qXq0st1yV/PS9HhoqUDODpZiyQzdKSXZOKCvaorGR/OY6JPQW5EfUIiTlBEDXDcawgjDz9zACudU1u7cBmQGYm8OBeJZ4u+BW9bm+FozgXAFAscMWpwJfxt3AUZox3AJyf7JPPVx/pLhYzIXd2BoYOVe/x1iV/3RuZEPh7ABERT4Tayoo9qOAL0cCQmBMEUTOpqcxk9vAwSB65Nre2o70MzwmOYHTaRvg9SAcAFNp64VzoOFwOfA5JaTaICFVvYYeHq0a65+YykY5oxYRcUwBbTVZ9eXou/Fvaw39Qa83mO0E0ICTmBEFoJysLuHWL1Q+3szPILtW6tTkOoVkn0efWBniJ7gAACizc8F/oZFxrMRKlFVbITtNuYQNMsMPCapcrrs2qL84ohIejDL2mR4Lv6myQ8ycIQ0NiThCEZh49YrnkfL5Bg7mqurUD82LR7+bX8H94DQBQZumA390m4Ha7F5FZaIuKdN0sbDl8vvr0M22os+odLMvQNrgIXae1ReQAE+p1ThBVIDEnCEI9paVMyEtLWcCbAVG4teM5TBBvRu/bWwAAlRYCXAh5ET8KxqNZlBDvv8Pi7QxWja0GlK36koJKCEtz4NM3HPzIWt4ZEEQ9Q2JOEER15PXW8/JYQxADw+cDw4ZyaHN2M3qnMiGPbTYSfwVNw51Cd4Ur3dKy9ha2IcbWzF8KIANoHwyEhzVscxaC0AESc4JoqlRWsrByjmN/lf9PTX1S3c0YpjDHIfy/zQh/LOT7m83En64xsC7X3ZVuNGQyFk7v7c0GYeDqdgRhDPT+lP75558YNGiQIcdCEER9IJUCd+4AaWlPRBxQ/V8sZmJmDCHjOGDzZmALE3LZOzPRsXcMwuvJla4VmYxVtnN1BaKiKHKdMBv0/qYOGTIEoaGheOONNzBp0iQ4OTkZclwEQRgDiQSy+NvI/DcRRXwn2AkF8PfngW/JZ65kHo8pqfxhaKoIOWbOBD8mBiYxI60s5O3aseh9gjATeBzHcfpsGBkZifj4ePB4PNjZ2SEmJgZvvvkmWrdubegxNhgikQhCoRCFhYV0s0KYPxUViD9wC2d23cP1HC+USGzq3hWsNqgRcsTEGPmgOkJCTmjBHLRA71vvmzdv4tixYxg5ciTKy8uxadMmtG3bFv369cP+/fshk7vrCIJoeMRiJOy9jl+/uIcLD7xh52KDwEBA6MQKpWz5lpVXNRok5ARhVPS2zJVJT0/Hxo0b8e233yI7Oxs8Hg++vr6YPn06pkyZAk9PT0OMtd4xh7sxgqiR0lLIrl3Htk/ScT7NF4EhVtUqnCWnsMCzWbPq6F0vLmbCmJ6u+khLA+7fZ+uQkBNmhjlogUHEXE5lZSX27duH9evX4+zZs+DxeLCyssLo0aPx1ltvoUuXLoY6VL1gDm8gQWiluBi4fh3psZn4dJcfHIWWasuIl5QAhSJg3lw9U8EePQIWLgTOnNG8Dp8PzJhBQk6YHeagBQYVczkSiQQff/wxPv300ycH4vHQvXt3rF692mxE3RzeQILQSGEha1ean4+bBb74cq0FAgPVW95SKctEmzkTiIys5XHi44G5c1nZV4DVW/XzU334+gLBway2e0PAcU86m5WXs//LywFPTxJyokbMQQsMmneSnZ2NzZs3Y/PmzcjIYK0K27dvj4EDB+KHH37A6dOn0bNnT+zfvx/PPvusIQ9NEIQcjmMWZ0ICs8z9/OAg4+vd61srBw8CK1YwcQwMBD77DGjRQmUVmexxnfQcwKG0HlPPJBLWS1UqZVH6VlasSYydHUu7c3BgYl7rkyYI08MglvmZM2ewfv16HDhwAJWVleDz+XjuuefwzjvvoGfPngAAmUyGTZs2YcaMGYiKikJcXFydB29szOFujCBUqKhgOeR37zLhcncHwAR1zRrNXcFqPWdeWQl8/jmwbx973qsX8Mkn1YQxIeFJrfOKctRf9HxJCateFxgIeHmxrik2NoBAYJCub0TTwhy0QG/LXCwWY/fu3fj6669x9epVcBwHFxcXTJkyBW+++SYCqvQn5PP5eP3113H48GEcPXq0zgMnCKIKhYXM5Z2RwdzZSh3O6tLruxq5ucB77zEXPo8HTJsGvPpqtY0THkfJFxSw49naMs9AfAIbx5TXjCTo+fnMhR4RwbwEVMGNaALo/Sn38/NDQUEBOI5DZGQkZsyYgZiYGNjWUDHJy8sLFRUV+h6WIIiqcByLGI+Pf9IURY2A6dvrW4UrV5iQ5+czK3zpUuCx900ZmYwdp6BA1RNgb8+eJ6cAhw6xpiYGc7lLpawMq50dEB3N5umppjrRRNBbzAsKCjBs2DDMmDEDTz/9tM7bzZs3D+PGjdO6zsWLF7Fjxw4cP34cKSkpcHNzQ9euXbF06VKEhYXpNLZ58+bh559/RmlpKTp37ozPP/8c0dHROo+TIMyCigogKYm51W1samyKUlOvb8X8trrSqteuAW++yaze5s2B1avZCmp48OCJB6CqnvJ4bPm9ZLaeQRqpiMVAdjbg4wO0asVcDQTRhNBbzJOSkhASElLr7cLCwmoU5JUrV+L06dMYPXo02rRpg6ysLKxfvx7R0dE4d+6c1ipzMpkMQ4cOxdWrVzF37ly4u7tjw4YN6Nu3L2JjYxEaGlrrMROEySGTMfFKTmZR5J6eOtcR19TrW+v8tkMaMHs2E/Lu3YGVK7Uer7iY7UPTKjY2zDNQXKzTkLVTWAiIRMyl3rIlmxcniCaGUVLT6sqZM2fQsWNHWCsFqiQlJSEqKgqjRo3Crl27NG77008/YezYsdi7dy9GjRoFAMjNzUVYWBgGDx6MPXv26DwOcwh6IJoYHMdc3MnJbG7c0pLNj1tY1Gm3mua3s3MAH3sRPkp+FYKMFGbab96sMh+vjtRU4LNVrMKcUfLaZTIm4CIRG2xYGBAU1IAdWojGjDlogUlGhnTv3r3astDQUEU9eG3s27cPXl5eeP755xXLPDw8MGbMGOzatQvl5eUQ0J07YY4UFAApKayaGscxa9wAkdna5rebB1bi+WNzIShOAefpBd4XX9Qo5ADzvgcHaY6ez85hc/UavPSaKS9nAy0vB5ycWJCblxe51Ykmj0mKuTo4jkN2djYia6hocfnyZURHR4Nf5Q69c+fO2Lx5MxITExEVFaV22/LycpSXlyuei0Siug+cIOpKSQkzde/fZ3PDHh7MT20gNM5vcxyGXlmG8OJYiPl2yJv3JaSlHii+WXOrUoNGz3Mc88cXFjIPhLs7iw3w8CCXOkE8xmzEfPfu3UhPT8eSJUu0rpeZmYnevXtXW+7j4wMAyMjI0CjmK1aswOLFi+s+WIIwFPn5wNWrzBp1czNKBTVN89s9bm9F2/u/Q8azwFe+n6Lwr1AUinTPF69z9LxEwsrElpayCm0tWrBiLy4u5E4niCqYhZgnJCTgzTffRLdu3TBhwgSt65aVlal1o9s8tmTKyso0bjt//ny8++67iucikahavjxB1BsPH7JUMLHYQCHf6nFwQLXqcJEP/kTf+I0AgJ+C5uLvR93hfZ/VYKlNvnhN0fNqKSlhIs7jsbrpERHsJkbHAD+CaIqYvJhnZWVh6NChEAqF2LdvHyxqCPSxtbVVcZXLEYvFitc1IRAIaD6dMA0KCphFXlrK8qWNSNX57YD8KxgWxzxUZ1qMw/aCUbC0BFqGA3w98sU1Rc+rIJWycy4pYXPyQUHsvF1d6xzcRxBNAZMW88LCQgwePBgFBQU4efIkfHX4UfPx8UFmZma15fJluuyDIBqUwkIm5EVFxhNyjmOW/4MH4KelYaI4DfczHsA5MQ3+4juwlFXihmc/fGPxNiQSZmHzjZUvLpWyoD43N+ZKp3rpBFFrTFbMxWIxhg8fjsTERBw9ehQRERE6bdeuXTucPHkSMplMJQju/PnzsLOz06noDEE0GEVFzLVeUMAquRm6gplMBvz0E7BlC7tpeIz744ecJPt2+LbZJwhw4UPGYwHj6qhzvri8DamvL9C2LbnSCUJPTFLMpVIpxo4di7Nnz+LXX39Ft27d1K6XmZmJwsJCNG/eHFZWVgCAUaNGYd++fThw4IAizzwvLw979+7F8OHDyY1OmC7FxU+C3Ywh5CkprBnK1avsOY/HAsoCAtjxAgIg8wtAlqU/KlybY5YTHzKOFXqrqduanT0LuNd5Xhx40t3N3R2IiiIhJ4g6YJJiPnv2bPz2228YPnw4Hj58WK1ITExMDAAWsLZjxw4kJycjKCgIABPzrl27YtKkSbh165aiApxUKqVIdcJ0KSlh5VLz8gwv5BIJsGsXK/ZSUcHmpGfMAJ59tlqeOh+A7+MHwAznmvLFvb1Z87SUlFp2RsvMZDlqbdqov1MgCEJnTFLMr1y5AgA4ePAgDh48WO11uZirw8LCAocPH8bcuXOxdu1alJWVoVOnTti+fTtatmxprCEThH5IpWzu+s4dVp7V39+waVdJScCSJawJC8BKsS5YwBRYB2rKF7e0APJyWUXZWnVGy8piNxVt2rDiLwRB1AmTLOdqKphDCT/CTCkqYlZ4WhpLw+I41iTEUJHblZXAd9+xh1TK8rRnz2YJ3npY/Zrqtj96BGRl17JHel4e+xsdbZS8eYIwNOagBSZpmRNEo6SighWBycwEcnKYCWtnx6LLDNlzOz0dmD8fuHWLPe/Xj7UtdXfXvp0W1OWLy+fTa9UZraCA3Vy0b09CThAGhMScIOqD7GwmrvKSpM7OxhGzEyeAxYuZ5S8UAu+/D/Tvb5A5+Kr54jdvqlaO48sq4SDOB4+TguPxYc/xUFFsAXEaD3Dkswn4igqgXTvmhSAIwmCQmBOEsSkqAm7cYBPNvr7GKYJSWQmsXQv88AN73qYNsHy5znPj+qCoHFfKwcPqEQSVxXhk749yK0fwuUqIRRKI7SWw8ZICNpVMzMPC9OiuQhBETZCYE4QxkUjYhLNIxETM0OlmAEvvev/9J271ceOAN980rOteDQEBQKi/GDk3ssGFCHHfowMK7PzA8S3AcUB8FtCxGxAwGixMniAIo0FiThDGJDmZBbn5+BhHyJXd6k5OwKJFgJpGQwZHJgM/NxfDe0ixLr85/njUAu5O9rCTAaXF7JTd3YHx46knCkHUByTmBGEscnKAxERWX/xxUSODkZEBfPst8Ntv7Hnr1sCKFfUzF11czCLSPT3R/MVQTOjthR3f8xAfz4ZlYwN07MiEvH174w+HIAgSc4IwDqWlLLebxzNsnfH0dJZu9vvvLCocAF55BXjrLcPfMKijoIBF4bduzZqhCARo7w20bcdS5QsLWdxdixZkkRNEfUJiThCGRioFbt9mxWAMFeyVlsZE/NChJyLepQswdSqraa6ETFbLlqO6UlzMblLatmW9UJXg81lsG0EQDQOJOUEYmtRU9vD2rvs8eXo6sHWrqoh37QpMmVJNxAHNxV1qLK1aE2Ixuzlp3Zqi0QnCBCExJwhDkpfH5smdnKrVPa8tsjPngPfeA7+sBADAde0G3tQpLO1MDQkJwJZvmSe8VqVVa6KykuXJh4YCzZsbJ5CPIIg6QWJOEIairIwpqkRS54IwmZt+hde3y8HnpLhj3wY/B80CLygKw6yBcFR3pfv5MYu8oEC1tKq9PXuenMKM+7CwWrrcpVIW1das2eOm5jQRThCmCIk5QegDxzHXc3Ex63j26BF7FBTUzQ3Ncchbtgk+v3wLALjsMxh/dPgIxRXWyH5sYQ/oz2rQKLvS3d2YZ9/XtxalVXU5x8xMFiEfGVk/AXYEQegFiTlB6ArHMXdzQQFzp5eUMEGXyZhL3daWmcj6Wq+VleA+WQr3w4cAAKfCXsW/Ea8DPB7srZiFfesW8M03LIfby+uJKz0xkWXCubmp7yZqYwPk5rJ7D52Rtyht3ZrtgCAIk4XEnCB0obSUtRNNTWWibmPDmqS4uhrG9VxcDMydC97Fi5DCAr9GzEd8y+eqrSYWs/SvVq2eiLa9PRDYjGlvcjLg4lLdOheLmQWvc5ZcXh47x6go1nGNIAiThsScILQhdzXfvs0sck9Pw1upWVnAO+8Ad+9CamOHdX6foii0e7UKqPLMMAtLNi2vjKMDu694+JCtp6y/HMd6j0e00jIDIJUyE7+sjCm/QMAC7VxdDXmmBEEYCRJzgtBEaSmrhJKczATc0LXVpVIWlfb116w1qrs7st//Ckn7WkJYVt1dXilhIm5tVX36mscDgoOZ1Z6ayv63sWG6nJ3DvOVDhyo5ESQSNk1QVsY6mfH5zNPg7Mx8+PK/BEGYBSTmBFEVuTWemMiC2oxhjZ87B3z5JbtZAFjK11dfwdvTG8GXWDqZclQ6wPqmSCQs603dvLhAwO43mjUD8vLZHLm1gFnkQ4cC4S05QFTEmr7IK9P5+TG/vIMDewgEhj1PgiDqBRJzglBGLGYinpLyRB0NaY0nJQFffcXEHGD+8MmTgTFjAGtr8MEKvGRmsWh1L88nFnZeLiuVqu6+Qu5Kj4piHvv0dKUKcO5l4BcVAg8q2PGaN2fRcy4uRu+sRhBE/UDfZIKQU1DAwsWzspjYGdIaz8lhYei//86U19KSCfirrzKXthLh4azAi7ySm8LCjmAZYn8frS70yq50S8vH6WcFBczvXmLLvAu+vizcnSLTCaLRQWJOEBzHCqPcusXmkP39AQsLw+3/zBlg3jymugAwYADrN+7vz4q/pFavox4ezgq8qKuxHhSkRujlrnR5RZnMTCba7dqxuW9HR6rcRhCNGBJzomkjkQB377JodYGAzSEbksuXgblzgfJyFh0+axbzhaPmOup8vvoCL9qEHuXlTzwLERHMlU4QRKOHxJxousjblKamMutVXVRZXYiPB2bOZALbowewerUiDL2uddTVCn1REdthSAjbmNzpBNFkIDEnmiZ5ecDNmywx29fX8KVK791jPcZLSoDoaGDlSsUxZDID11HnOOZvl8mY1R8UZNhpAoIgTB4Sc6JpIRKx3uCpqSzP29/f8M1D0tPZnHhhIXN1r1mjYiU/ePAkgK3OddQlEjY/LhSyY3l5GfZcCIIwC0jMiaZBYSET8bQ05l53da1FbdNakJsLvPEG+xsSAqxdW+04xcVsjtzWVv0udKqjLpOxHPjiYjbPHxFBZVcJoglDYk40bgoLgfv3mbVcVsZE3FiVzQoKmEWens4E9uuvq6WdAUzbrQVsOOqm6bXWUZdKmYjLb0hatjTONAFBEGYFiTnROCkpYfPWaWksAM3Vtc49xrWSmQm89x47pocHsGGD4njqeo8HB6mv8qaxjrpEwub3y8tZrrjcpW5tbbxzIgjCbCAxJxofBQXA9essyM3NjRVMMTQyGctL/+8/cP+dBO9OEgBA6igEb93X4D9OcdOUfta6tfoqb9XqqEulzOcukTCPQlAQOx+yxAmCUILEnGhc5OUB164xM9jQwW0VFawAzMmTwKlTrDkKAB4AGfhIcmiHA0GzYfVLCIYNY5toSz8b0B+4cUNL8ZfiYnY+Pj5PRJzKrxIEoQb6ZSAaDxkZwI0bkJVX4kGlL4rjeaoFVepCWhowZ86TxigApDb2uO7YDZdseyErpAc4oTPKyoDshCcF2LSln928ydLQVeqoBwB8Tgpk5rCNWrdmLdDInU4QhBZIzAnzh+NYkNuNG0hKscSvp7w1VlXTizNngA8+YEVZnJ2BZ56BrGcvfPVfB9xMslKINQ9PxDohAXhUALSJ0p5+lp5eJf2suJhZ/F5eLLiN2pASBKEDJOaEeSOTsXKs8fFIzLDHpn3OeldVqwbHAdu3s2A2jmNW8mefAZ6eeJAK3H2gOVdcKGTGvEymftfV0s/kc+MAC24LCSFrnCAInSExJ8wXiYTVVE9Kgkzogt/+dTBcVbWSEmDxYuDYMfZ85EhWY/2xwNaUKy5POSsuYf3Hq6KSflZayoTc05NZ48aMuicIolFCYk6YJbKyctz/Kx6Vt+9B4O8JqdTWcFXVUlOZcN+7xwLO5s0Dnn9eZZWacsUtLAB7B6CwAPDx1pJ+Zv8QeFTGXAbNm7NmLwRBELWExJwwO66eLsY/626iKCEdWfAB39YaTo4s2MxbQzVTuVtbVMS0ulq3MTn//Qd89BGzzD08WE31Nm2q7S8gQHuueE4u6z4qLlOffuYilOG5zpng82xY7XY/P2pRShCE3pCYE2bFtX8f4ccPr4PLewgLfz/42luirIzFv2VnAS7OLJOrKmIxUFkJ7NsL5OWrCY4LEgNffgns28c2aNuWCbmGADQ+n22nLVd8XAxbt2rv8aiwcgzvlIXmnahNKUEQhoHEnDAbZBlZOPnlDUjzy+DY0h88PrNk7e2BluEsJfvOHcDLG+BXsZRTUpixbWHBAsWVg+MsEm8hOONDCLLusw1eegmYMaPGwizh4SyorqpYq+SKQ7X3uBNE8LMvAL85tSklCMJwkJgTps/j1LOMv24i/T4fFgG+4FUJYuPzgBYtWErY7QQgMFDJUs5mQm5vz1K25d5sB1sJBpTvQK/4zbCEFJyHB3iLFgFduug8tPBwVbFW57rn84FmgRwbCI8HhLdlRWAM3a2NIIgmC4k50bDIZCyHSyplkeJWVqp/+Xxmbt++jeJKe+RyzgjUEEHu6clyuwMDgULRE0vZP4Dt3tf3iZA7l6Th2UsfI+DhNQBAnGt/eKyaj4DWwlqfAp9fQ1BdZSWrIuPiwtzqxigvSxBEk4bEnGhYMjOBy5eZ9S3HwoKJuZUViyZ/+BBwc4OtxL7GbmPOzsCUqcxSl1vKoiJg7VeP08g4Dm3uH8TAa6shkJSi3NIeh6Pm4TA3BDONEYBWVMTG36wZM+PVDZwgCKKOkJgTDUdJCcsTt7FRDTSTSJ48KisBb2/A2hoBtrp1G2sWqOrBTk1lFrpNfhpeSFyBkJzzAID7bu3xW4fFyIAvrEXa25tX7XxWY4lYjgNyctjfNm2YW53qqhMEYSRM8teluLgYq1atwvnz53HhwgU8evQI27Ztw8SJE2vcdvv27Zg0aZLa1zIzM+Ht7W3g0RJ6wXFAUhLrN67S6xNM9NQIny4R5IpuY0oE+EgwWvwDul3dCAFXjkq+AP+1morzoTGQwQLZKWpajiqhqfOZxhKxFRVAVhZru9qqFbnVCYIwOiYp5nl5eViyZAkCAwPRtm1bnDhxotb7WLJkCYKDg1WWOTs7G2aARN3JzGQms6eaKi9a0DWCXEFCAvhLl6JvQgIAIN6hIw63XYASt0CIS1VvAoDqOeiJido7n1UrEVtUBDx6xCzxsDByqxMEUS+YpJj7+PgorOhLly6hU6dOtd7H4MGD0bFjRyOMjqgzpaVP3Ot6pGbpEkEOsRjYtAnYs4dFvzk5IXPsTBwSDUdyKg8VD1RvAgBgzRpV6zsoCCh4pL3zmaJEbFkJW9HS8olb3cJC/2tEEARRC0xSzAUCgUHc4UVFRbCzs4MF/aiaDhzHotMLCjT7tXVAawT5zZvAggWsJRkADBgAzJkDHzc3vKtm7luT9X31CvOWh4erLxHr616B/NuFyDxfCr9Qe7azgADqdEYQRL1jkmJuCPr164fi4mJYW1vjmWeeweeff47Q0NCGHhaRmQkkJ9foXq91wJmcX35hldsqK1l1mPnzgZ49FS9XvQmQyZjLXp317eXNxpCdzWLweDyAx0lhU1EEm8oiVMISt6WuyAtsBb8ebtoj6AiCIIxIoxNzOzs7TJw4Ef369YOTkxNiY2OxZs0adO/eHXFxcQjQYg2Wl5ejvLxc8VwkEtXHkJsOpaXMDK7BvV7rgDOABZ2tWgX8/DN73qcP63pWg8A+eACNDVqsLNkwRSIWeO8qKIZDeT5KrZ2R5dIKGZUeSOM5wzacD5COEwTRgDQ6MR8zZgzGjBmjeP7cc8/hmWeeQe/evbFs2TJs3LhR47YrVqzA4sWL62OYTQ+5e/3RI63u9YSEWgacAcx0njePudd5PGD6dGDSJJ1MeW2tTB0cWPvSnBxAUJwHG34lMl0ikecYDAnfGrfjgY4dWeU5giCIhqRJ1JPs2bMnunTpgqNHj2pdb/78+SgsLFQ8Hjx4UE8jbAJkZrIC6Vrc61Vd3vb2TI/lAWcFBSzgTCZT2ujSJSAmhgm5kxOwdi0webLOpVKVW5lWhccDfDwlCOSnISvPEvE20Ui3D8OjEmvEx7Op8fHjqSorQRANT6OzzDUREBCA27dva11HIBBA0ET7SctkzHAuLASEQmZtGkyk8vNZ9Lq1tVb3ujaXd7We5IEcsHs3sG4di1YPC2Nudj+/Wg1NWytTy8oyOBTmQNjND+XBrXA12Qniu+wUOnZkQt6+fa0ORxAEYRSajJjfu3cPHh4eDT0Mk+TyZWDHDiA+nmV02diwWicTJtRRrCQSlridmMgEt4YMBW0ub+BJT/LS7CJg/RLg+HH2wpAhLHpdjzQ3TYVoLESP8Ci7BKW+LfHqJ6Fo09HaeDc7BEEQdcSsxTwzMxOFhYVo3rw5rB63q8zNza0m2ocPH0ZsbCxmzJjREMM0aS5fBpYsYe1D/f2ZS7ukBIiNZTr88cd6CrpIxKzxBw9YgxEnpxo3UXZ5a6q9HlZxHaELFwC5mSyne9YsYMyYWhWeqYpyIZqUZClkadmAjQC23aMx9g1/tItm+w4L0/sQBEEQRsVkxXz9+vUoKChARkYGAODgwYNIS0sDALz99tsQCoWYP38+duzYgeTkZAQFBQEAunfvjvbt26Njx44QCoWIi4vDd999h4CAACxYsKChTsckkcmYRZ6XxyxxuR46ObHn8fHA998Dbduy5ZosUxUXvaMMLWzTwU+6ze4K/Px0rkmuzeXNyWRof30nns/aAAtOyva7YgXrQmYAwsOBMP9SZF7PRaGNN6zbtkJIBxeyvgmCMAtMVsxXr16N1NRUxfMDBw7gwIEDAICYmBgIhepbVY4dOxaHDh3CX3/9hdLSUvj4+GDKlClYuHAhvLy86mXs5sKdO0yw/f3Vz1H7+wO3bgG//QacOKHeDQ88cdHLSsoQIk1EJ/cU9Blsh9Au/rUaj0aXd+FDjIhbhKiiM2zFAQOADz4wXF43xwG5ueBLJPB7Khx+zZsDTTR2giAI84THccq9JwllRCIRhEIhCgsL4aSDm9jcuHgRmDMHCA1VX3lUIgGuXAEcHdmUt7IbPi3ticEtkQDhHvloUX4DloX5SCrygr2rjfo0Mh1QzjMPzruE11I/hHNlHmRWAvDnzQGee65ObnUVystZapurK9CyJSs0Y4xWqARBmC3moAUma5kTxkcoZJZvSYn6Ke2SEuaC5/GA6GhVN3x4OHD4MHs+tl8OAh5dg6VUDJFHIPw9eIq65S1asKqqGiu5nTrFVhSLWeGXigqEl5ejZUUFJCUVsMx6AB7HgQsOBn/FCsMmdT98yArZBAezCXE7O8PtmyAIoh4hMW/CtGjB3OWxsapz5sCTGi/y9aoaqyIRmyv3kGbB7cFVWNhJIbLzAQDwwFzk168Dn3wC5OVrqOR2/TowezYz+6vAA2Alf/Lss+DNnas5zL22SCSs6Lq9PbtL8fOj0HSCIMwaEvMmDJ/P5r1TU5/MndvZMWM1LY1Z0hynfmq6ogLwkqQjXHIdkkoeimxV4xHKy1kge3k5M3yrVnKb9koJwhZ9yIS8e3fgqadYHrq1NZuvlv/v6qqlo4oeFBSwOxF/f+ZWN1GXGUEQRG0gMW/itG/P0s/kQWwZGU+KovTpA3zzjXo3vI/kAewk1yDhWUHs4KZSmpzjWC8VqZTpsDzNTLl1aMXy1UB6OiTu3kiKWQY7L0fdm6nog9wat7UF2rUDAgOpRSlBEI0GEnMC7duz9LOqqWcAi2JXccNzHNyKU+FdfgOn+LYQ8Z1hVyUnvKiYTUe7ula36nk8oL/sb7ROPggZ+Fjr+Qnitzjq1kxFX5St8bAwdoIEQRCNCBJzAgCziMOaS1m0Wnk58MAasLLCq89aI/eOFe7dsIJ3gBX8ZPfhnH0Ldx7ZwyVYCBewkuvyNDKxGLifyoze4ODqc+2OpVkYcWs5AOBXl4nI82+PQF2aqegDWeMEQTQRSMwJRlERK7t6/76KArcBsHiAFf4+YYmUu5awKCtGjp0QzaIcMXQoW0eeRpaby4Lcwlqyae+qqdo8TooRlz6GnaQI8fwIXGw/Va0L/tAhZkDXyeVO1jhBEE0IEvOmDsexifKEBCZ+Pj6AlZXK6y18pAhpX4m0VAmKy91h72qjMr8dFsaC3eTpZ35+wJdfVq/k1jVpJ5rlx6EMtljvtRQ+Tqofv2rNVPSJe5Nb4zY2ZI0TBNFkIDFvyojFQFIScO8eE7+AAPWl4Cwtwbe0RKCGyql8fnXhrVrJLVgcjz63vgEArLedA5uwQLW1WeTNVIqL9TgfkYhZ5L6+LFLd2VmPnRAEQZgfJOZNlZwc1gglN5dVPdOj45g2lJuXpN8tw/BrH8CCk+Km91O46fYsfDVUSxWLmau+VpVaJRJWxU0gANq0YXcWOtaDJwiCaAzQL15TQyoF7t5lFjmgpiSb4QgPB8JayFC6YBUcyu9D4uqJljs+QOttPPXNVDggOweIaMWGpRNFRSx0Xm6Nu7gY41QIgiBMGhLzpoRUyubGExPV540ZmocPwV+0CA5nzgA8HiyXLQbchGqbqYjFTMidnYGhQ3W4v5BImHfB0hKIigKCglTn+gmCIJoQJOZNBYmEtUC7exfw9DS4W70aFy4AH30E5OezSm7z5gGdOgFQdcErR8FHtGJCXmNaWmEhmxv38WHRd25uxj0XgiAIE4fEvClQUcGE/N49o8yPqyCRAJs2Adu3M795cDDrO16lQUp4ePUo+Bo9/pWVbG7cxoZVuQkMJGucIAgCJOaNn/Jy4OZNVtnFx4dZycYiI4P1Gb9+nT0fOZI1UtFw86AuCl4jjx4x1ffzYz1bKVKdIAhCAYl5Y0YsZsL64AELEDOmFXv0KLB06RMz+8MPgf7967ZPjmM3I7m5bJ/t27MiMJQ3ThAEoQKJeWOltJQJeXo6s2aNlapVUAB89hnw11/seVQUsGwZu3moDRUVTLjlD5mMhbpbWzPzvUULwNHR4MMnCIJoDJCYNyY4jqVqPXrEepjm5BhPyDmOWeOffcaOJ++nOm1a7Y5XUfGkVZuNDRPsgABmidvYsLrq9vbUb5wgCEILJObmjlT6pPJZZib7W17OCqj4+RnHJZ2XB6xcCRw/zp43b876qEZG1m4/Mhkbc0gI24etLQW0EQRB6AGJuTkikTDRfvSIWbVFRSzS286ONRQxVrQ6xwGHDwOff85uICwsgFdfBSZN0i+wLiuLpcmFhzMhJwiCIPSCxNxcqKhgAp6fz0RQJGLiam8PuLsbzqKVSJ7kcRcUqP5/+TJw9ixbr2VLZo23bKnfcR4+ZDcAEREk5ARBEHWExNyUqaxk4p2by+a/5d1HHBwAb2/DzoVz3JP8cIlE83pWVsCUKcD48fofv7SUNTBv355VoiMIgiDqBIm5qVJWBty4waLR+Xwm4D4+dZoDl8k0FGnhOGDNGuCHH56sLBSyh7Pzk79ubsCQIWyOW18kEnZz0qoVSzMjCIIg6gyJuSkiErG0spwcluJlAAs8IeFJ+dSKclY+NTgIGDZEhvDfPgP27WMrvvceK/ZirAj4jAx2F9GiRfV2qwRBEIRekJibGnl5TMhFIma5GiAlKyEB2PItm/b28mRT1GVlQEK8FL1OLAeyfmXC+uGHwIgRdT8HTWRnM7d6RARFrRMEQRgQEnNTIj2dudYlEpZWZgDLVSZjFnlBgWrLUQc7KV58uBhtsg5DxuMDixaBP3RInY+nkYICNkUQEcGC9giCIAiDQZU4TAGZjHUzu3yZWeLe3lqFXCYDUlNZyfXUVPZcEw8ePGk1Kt8lXybBiEsfoc2Dw5DyLLCt+VI8aG1EIS8qYhP1rVoBHh7GOw5BEEQThSzzhkYiAW7fBu7cYYFmNZQs1Tj3PUx969DiYraePPuLL6vEyIsLEJ5xHFKeJfZ1XIFzkn7oWmzwM2Nz5Lm57G4jMpLNlRMEQRAGh8S8IZFKmXkt7zFeQ761prnv+AQgM4v1CK8q6A4OTPDLyoBgSSKeufoZAvOvQMK3wv7On+GqUy9Yi9h6BkUiYdXdnJyYa93b28AHIAiCIOSQmDcUHMes8Xv3mNAJBFpX1zT3bW/PnienAIcOsR7hyjFzAQFAhPcjRJzciD75P4MPGSosbLC/yyrc9eyG7BQgopWBjeaysid14SMiqEEKQRCEkSExbyju32fudTe3GoUcUD/3LYfHY8vvJbP1FD3CJRLw9+7F9L82w6K0CABwzWsAjkfNQDbfB9kpLH186FAD9jF59AgoKWGV4UJDjds/nSAIggBAYt4wZGcDt24xs1rHyO6qc99VsbFh09PyInE4c4YVgklJgQUAcbMw/NJ8Dk6WRqMin7neI1oxIVc3115rpFJmjVtZAdHRLK2O8sgJgiDqBRLz+qaggKWfAcws1hHluW91+i8WA7ZWlfC8/i/w9QHgwoUnx3jzTdg8+yzG8CzQTV0FuLpQUsLOieOYlyEigkq0EgRB1DMk5vVJSQkrCFNSwuaTa0FAAJsbj09QnTMHALfCu+h0/Vf0FB2G3YUCAABnYYGiIS/CYeZr4AvZnDUfSi74ulBZyRqwlJayTm2BgWze382NisEQBEE0ACTm9UVFBXOt5+XpVZOcz2fpZ5lZbO480LUY0fl/o23KrwgsvKFYr9jGHaddh+OE8wiIcv0RvEVz2prOcBzrkV5Wxm5EeDxmfbdsyTq2GTwUniAIgqgNJOb1gVTK8sru369TidbwFhLM7HQBRT8dRvNrJyCQidnueRbIbdUbv1uMwHl+V3h4WcLOFuDVkLamEYmE+e1LS5mIcxyblLezY0Ftnp6Ai0udmr4QBEEQhoPEvD64d4/lkvv41L6BCcexqPfDh4EjRxCQn694qdwnCKUDRsBx7BDs2ulWzQVfU9paNWQy1giFx2PC7eLyxPKWB+sZLOydIAiCMBQk5vVBbi4TRx1S0BRUVAA//ggcPMhuBuQ4OwMDBwJDhkAQGQkBj4fUVD3S1tSRmcnc561asdzw2oyXIAiCaDBIzBsIjb3FATYvPWcOcPEie25tDfTqxfLIunevZt3XOm1NHdnZzPKOiqpVlD1BEATR8JCYNwBa66t7FwAzZrBgOTs79v8zz2itoqZL2pq1QEucWn4+m/9u04aEnCAIwgwhMa9ntNVXL0vJwrz7b0GQkcJEde1alrddA9rS1jgOyM7RUrJVJGIu/fbtqaMZQRCEmUJiXo9oq6/ewS0FY/97E4LKbHCeXuBt+BoICtJpv1XT1rw8mWtdLGZCrrFka2kpE/OoqFrnvRMEQRCmg0mGJhcXF2PhwoUYNGgQXF1dwePxsH37dp23LygowNSpU+Hh4QF7e3v069cPcXFxxhuwjmiqr+79KB4TTr4Gt8psZNk0Q/qSrToLuZzwcJZ+1iocKBSxYxWKmEWuNi2tvJzlvLdsCQQH1/XUCIIgiAbEJC3zvLw8LFmyBIGBgWjbti1OnDih87YymQxDhw7F1atXMXfuXLi7u2PDhg3o27cvYmNjERoaaryB14C6QLXA3EsYc242BJISZAhbYVXAWrxm64Lal5Vhgh0WpiWwTo5EAmRlAS1asLxxqqFOEARh1pikmPv4+CAzMxPe3t64dOkSOnXqpPO2+/btw5kzZ7B3716MGjUKADBmzBiEhYVh4cKF2LNnj7GGXSNVA9VaZJ7ECxfeg6WsAinuHbGjzWpUlDrUqaAan6+UfsZxrPSq8qOigv1t1oypPxV+IQiCMHtMUswFAgG8vb312nbfvn3w8vLC888/r1jm4eGBMWPGYNeuXSgvL4eggfKnlQPVBgr+xagL78GCk+C2Tx8c6Lgc9x8IFIFqWlPXtMFxbFK+qIhtYGnJ6qVbW7MdOTqyKHlvb2pPShAE0UgwSTGvC5cvX0Z0dDT4VZSvc+fO2Lx5MxITExEVFaV22/LycpSXlyuei0Qig45NHqjmeuMEXrj6Piw4CW74DsD/Ij5B5gNLRaBaYqKW1DVtJVlFItZPXCgE2rVj4i0QMNEWCMidThAE0UgxyQC4upCZmQkfH59qy+XLMjIyNG67YsUKCIVCxSNAbS5X3QjPOoFJ8e/BkpPgkttArPP8BI+KLRWBagBLXYtPAIROrCGZ0Ik93/ItS22rRnExq/teWcki07t3Z0FtHh6AkxMLbSchJwiCaLQ0Osu8rKxMrRvdxsZG8bom5s+fj3fffVfxXCQSGVbQjx8H3n8fPKkU3MBn4PHaYswos1S40QFgzRr1qWtqa6yLxSwi3dqaLWzWjDqYEQRBNEEanZjb2tqquMrliMVixeuaEAgExptPP3UKWLGCdVAbNAi8RYvQrEpZVl1qrCffkyL9ZhECXIrZfHizZiyNjSq3EQRBNFkanZjLI+GrIl/m6+tb30NiFvny5SyqbfBgYNEitVHkGmuscxwElcVwkIqAIg7FpY5At3DmRndxIRc6QRBEE6fRiXm7du1w8uRJyGQylSC48+fPw87ODmFhYfU7oL17gYULmZAPGcL+15AOVjV1zUJaAfvyh7CQVaDcygHplkFI9fCCRR9XoKVV/Z4HQRAEYbKYdQBcZmYmEhISUFlZqVg2atQoZGdn48CBA4pleXl52Lt3L4YPH16/aWklJcDbbzPXev/+WoUceJK6lp0D8CXlEJZmQmTriVSPTrjj1RNnS9rAt70XWrQiIScIgiCeYLKW+fr161FQUKCIPj948CDS0tIAAG+//TaEQiHmz5+PHTt2IDk5GUGPy5+OGjUKXbt2xaRJk3Dr1i1FBTipVIrFixfX70nY2wNHjgDLlgETJ9ZYoEWeupaTUYGipCwUNAvBI+dIFImtkJYEuLsD48frmG9OEARBNBl4HMdxDT0IdQQFBSE1NVXta3LxnjhxYjUxB4BHjx5h7ty5+OWXX1BWVoZOnTph9erV6NixY63GIBKJIBQKUVhYCCcnJ/1P5swZVsTF3b3mdSsqcO9MJvbGhuDf3EiUVFjBxoY1Txs/njU3IwiCIOoPg2mBETFZMTcF6l3MKyqAzEwgJASyVpG4k2qFwkJWA6ZFC7LICYIgGgJzEHOTdbM3OeRCHhwMREaCb2WF+o7VIwiCIMwTEnMjIpMBd+4AkluAIw/wc9VgXVdWPhHy1q1ZLXWCIAiC0BEScyNx+TKwYwcQHw80zwaEFoBbmJr66pWVQEaGwiInIScIgiBqC4m5Ebh8GViyhFVa9fcHAqwBrojVV8/MYjXYw8PBEspzcp4IOXUxIwiCIPSAQqoMjEzGLPK8PKBVK9bnhM9nXUeDg1jd9UOHAFn+IyA/n6l669Yk5ARBEITekJgbmDt3mGvd3199fXVvDxkK4jOQ/kAKREczxSfXOkEQBFEHSMwNTGEha2Zmb1/9Nb6sEt7SNDySOSM3sCMr+UZ11QmCIIg6QnPmBkYoZO3DS0qYi12OlUQMa0kpHlgG4r5HKzg0s2u4QRIEQRCNCrLMDUyLFsxznpYGKJfj4Xg8ZDpH4GxJWzSPskOLFg03RoIgCKJxQZa5geHzgQkTWG9y+dx5gZUHUnlBuJ7hA3cPHtVXJwiCIAwKibkRaN8e+PjjJ3nmGeJQ2NgAHTtRfXWCIAjC8JCYG4n27YG2bVl0O9VXJwiCIIwJibkR4fNB9dUJgiAIo0N2IkEQBEGYOSTmBEEQBGHmkJgTBEEQhJlDYk4QBEEQZg6JOUEQBEGYOSTmBEEQBGHmkJgTBEEQhJlDYk4QBEEQZg6JOUEQBEGYOVQBTgvc47ZnIpGogUdCEARBNBRyDeCUW2GaGCTmWigqKgIABAQENPBICIIgiIamqKgIQqGwoYehFh5nyrcaDYxMJkNGRgYcHR3B4/H02odIJEJAQAAePHgAJycnA4/QvKFrox66Lpqha6Meui6aMcS14TgORUVF8PX1Bd9Eu2WRZa4FPp8Pf39/g+zLycmJvmQaoGujHroumqFrox66Lpqp67UxVYtcjmneYhAEQRAEoTMk5gRBEARh5pCYGxmBQICFCxdCIBA09FBMDro26qHrohm6Nuqh66KZpnJtKACOIAiCIMwcsswJgiAIwswhMScIgiAIM4fEnCAIgiDMHBJzgiAIgjBzSMz1pLy8HO+99x58fX1ha2uLLl264O+//9Zp2/T0dIwZMwbOzs5wcnLCiBEjcO/ePSOPuP7Q99ocOHAAY8eORUhICOzs7NCyZUvMnj0bBQUFxh90PVCXz4wyAwYMAI/Hw1tvvWWEUTYMdb02P/74I7p16wZ7e3s4Ozuje/fuOHbsmBFHXD/U5bocPXoU/fr1g7u7O5ydndG5c2fs3LnTyCOuH4qLi7Fw4UIMGjQIrq6u4PF42L59u87bFxQUYOrUqfDw8IC9vT369euHuLg44w24PuAIvXjxxRc5S0tLbs6cOdymTZu4bt26cZaWltzJkye1bldUVMSFhoZynp6e3MqVK7k1a9ZwAQEBnL+/P5eXl1dPozcu+l4bNzc3Lioqivvoo4+4LVu2cDNmzOCsra258PBwrrS0tJ5Gbzz0vS7K7N+/n7O3t+cAcG+++aYRR1u/1OXaLFy4kOPxeNzo0aO5jRs3cuvWreOmTZvGff/99/UwcuOi73X59ddfOR6Px3Xv3p1bt24dt379eq53794cAG7NmjX1NHrjkZyczAHgAgMDub59+3IAuG3btum0rVQq5bp3787Z29tzixYt4tavX89FRERwjo6OXGJionEHbkRIzPXg/PnzHABu1apVimVlZWVc8+bNuW7dumndduXKlRwA7sKFC4pl8fHxnIWFBTd//nyjjbm+qMu1OX78eLVlO3bs4ABwW7ZsMfRQ65W6XBfl9YOCgrglS5Y0KjGvy7U5e/Ysx+PxGoVAVaUu12XAgAGcr68vJxaLFcsqKyu55s2bc23atDHamOsLsVjMZWZmchzHcRcvXqyVmP/4448cAG7v3r2KZTk5OZyzszP30ksvGWO49QKJuR7MnTuXs7Cw4AoLC1WWL1++nAPA3b9/X+O2nTp14jp16lRt+cCBA7nmzZsbfKz1TV2ujTpEIhEHgHv33XcNOcx6xxDXZfHixVxgYCBXWlraqMS8Ltdm7NixnI+PDyeVSjmZTMYVFRUZe7j1Rl2uS5cuXbjIyEi1y7t06WLwsTYktRXz0aNHc15eXpxUKlVZPnXqVM7Ozk7lBsicoDlzPbh8+TLCwsKqFe3v3LkzAODKlStqt5PJZLh27Ro6duxY7bXOnTvj7t27irar5oq+10YTWVlZAAB3d3eDjK+hqOt1uX//Pj799FOsXLkStra2xhpmg1CXa/PPP/+gU6dOWLt2LTw8PODo6AgfHx+sX7/emEOuF+pyXfr27YubN2/io48+wp07d3D37l188sknuHTpEubNm2fMYZs8ly9fRnR0dLXuZ507d0ZpaSkSExMbaGR1g7qm6UFmZiZ8fHyqLZcvy8jIULvdw4cPUV5eXuO2LVu2NOBo6xd9r40mVq5cCQsLC4waNcog42so6npdZs+ejfbt2+PFF180yvgaEn2vzaNHj5CXl4fTp0/j2LFjWLhwIQIDA7Ft2za8/fbbsLKywrRp04w6dmNSl8/MRx99hOTkZCxbtgxLly4FANjZ2WH//v0YMWKEcQZsJmRmZqJ3797Vlitf16ioqPoeVp0hMdeDsrIytXV+bWxsFK9r2g6AXtuaC/peG3Xs2bMHW7duxbx58xAaGmqwMTYEdbkux48fx/79+3H+/Hmjja8h0ffaFBcXAwDy8/Pxv//9D2PHjgUAjBo1ClFRUVi6dKlZi3ldPjMCgQBhYWEYNWoUnn/+eUilUmzevBkxMTH4+++/0bVrV6ON29Qx5G+UKUFirge2trYoLy+vtlwsFite17QdAL22NRf0vTZVOXnyJCZPnoxnnnkGy5YtM+gYGwJ9r4tEIsGMGTMwbtw4dOrUyahjbCjq+n2ysrJS8dzw+XyMHTsWCxcuxP379xEYGGiEURufunyX3nrrLZw7dw5xcXEKd/KYMWMQGRmJd955p9HeGOqCoX6jTA2aM9cDHx8fZGZmVlsuX+br66t2O1dXVwgEAr22NRf0vTbKXL16Fc8++yxat26Nffv2wdLS/O859b0u33//PW7fvo1p06YhJSVF8QCAoqIipKSkoLS01Gjjrg/q8n2ysbGBm5sbLCwsVF7z9PQEwFzx5oq+16WiogJbt27F0KFDVeaFraysMHjwYFy6dAkVFRXGGbQZYIjfKFOExFwP2rVrh8TERIhEIpXl8rvddu3aqd2Oz+cjKioKly5dqvba+fPnERISAkdHR4OPtz7R99rIuXv3LgYNGgRPT08cPnwYDg4OxhpqvaLvdbl//z4qKyvRo0cPBAcHKx4AE/rg4GD89ddfRh27sanL96ldu3bIzc2tJk7y+WQPDw/DD7ie0Pe65OfnQyKRQCqVVnutsrISMplM7WtNhXbt2iEuLg4ymUxl+fnz52FnZ4ewsLAGGlkdaehwenPk3Llz1fI/xWIx16JFC5W0j9TUVC4+Pl5l208//ZQDwF28eFGxLCEhgbOwsODee+894w/eyNTl2mRmZnIhISGcr68vl5ycXF9Drhf0vS7x8fHczz//XO0BgBsyZAj3888/cxkZGfV6LoamLp+ZL774ggPAbd68WbGsrKyMCwkJ4SIiIow/eCOi73WRSCTc/9u7m5Co2jAO4/9D2qCpDQoRYYYkUrqQEU1TZKBdEgSSaIs0aRXUyq+FK5mgCFFQDNqIkEFEizbF4K6ghWQroaIWVopQDpZFXzpxt2pwdHwXYzPzPnH9YDZzRrifB5nLczgH/X6/lZeX28+fP2Pvf/nyxYqLi+3IkSPpWUCa/NejaUtLS/bixQtbW1uLvXfnzp0tz5kvLy+b3++3tra2dIycEsQ8Sa2trZaVlWW9vb128+ZNa2hosKysLHv06FHsM8Fg0Db/vfT582c7fPiw7du3z65fv24jIyN28OBBO3DggH348CHdy0iJZPemqqrKJFlfX5/dunUr7jU9PZ3uZfx1ye5LIvqHnjM3S35vvn37ZpWVlZadnW09PT02OjpqtbW1tmvXLnv48GG6l/HXJbsvV65cMUkWCARsZGTEhoaG7OjRoybJpqam0r2MlBgbG7NQKGQXL140SdbS0mKhUMhCoZB9+vTJzMw6OztNUtzJQTQatfr6esvLy7PBwUEbHx+3yspKy8/Pt5cvX2ZoNTtHzJP0/ft36+npsf3795vP57Pa2loLh8Nxn9nui3lhYcHOnDljBQUFlpeXZ6dOnbLXr1+na/SUS3ZvJG37CgaDaVxBauzkd2azfy3mO9mb9+/fW2dnpxUWFprP57O6urotP+uqnezL7du37dixY+b3+y0nJ8fq6urs3r176Ro95Q4dOrTt98WfeCeKuZnZysqKXbhwwYqKiiw3N9eCwWDc1VIXeWZmKbuGDwAAUo4b4AAAcBwxBwDAccQcAADHEXMAABxHzAEAcBwxBwDAccQcAADHEXMAABxHzAEAcBwxBwDAccQcAADHEXMAABxHzAEAcBwxBxBz+fJleZ6npqYmRaPRLccHBgbkeZ6qq6v148ePDEwIIBH+BSqAmLW1NTU2Nmp2dlb9/f26du1a7Fg4HFZzc7Py8/P17NkzlZWVZXBSABsRcwBx5ufnVV1drdXVVT148EAnT57U4uKiAoGAIpGI7t69q9bW1kyPCWADLrMDiFNaWqrJyUmZmc6dO6f5+Xm1t7crEono0qVLhBz4H+LMHEBC3d3dGh4e1t69e7W6uqqamho9efJEu3fvzvRoADYh5gASikajqqqq0vPnz7Vnzx7Nzc2ptLQ002MBSIDL7AASmpmZ0atXryRJX79+1dzcXIYnArAdYg5gi0gkovb2dkWjUXV1dcnzPJ0/f15v377N9GgAEiDmAOL8ufFtcXFRHR0dmpiYUHd3tz5+/Ki2tjatr69nekQAmxBzAHGuXr2qcDisiooK3bhxI/be8ePHNTMzo76+vgxPCGAzboADEPP48WOdOHFCPp9PT58+VUVFRezYu3fvFAgEtLKyovv37+v06dMZnBTARpyZA5AkLS8v6+zZs/r165fGx8fjQi5JJSUlmpyclOd56urq0ps3bzIzKIAtODMHAMBxnJkDAOA4Yg4AgOOIOQAAjiPmAAA4jpgDAOA4Yg4AgOOIOQAAjiPmAAA4jpgDAOA4Yg4AgOOIOQAAjiPmAAA47je03yIE4byjWgAAAABJRU5ErkJggg==\n" | |
}, | |
"metadata": {} | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Quantiles:\n", | |
"[(0.16, 1.561511664390564), (0.84, 1.7640851354598999)]\n", | |
"Quantiles:\n", | |
"[(0.16, -0.17966051697731017), (0.84, 0.02344159513711929)]\n" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 550x550 with 4 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"import numpy as np\n", | |
"import torch\n", | |
"import matplotlib.pyplot as plt\n", | |
"import dynesty\n", | |
"import corner\n", | |
"\n", | |
"def log_likelihood(params, model, x, y, noise_std=0.1):\n", | |
" z = torch.tensor(params, dtype=torch.float32).unsqueeze(0)\n", | |
"\n", | |
" with torch.no_grad():\n", | |
" generated = model.decode(z).squeeze()\n", | |
"\n", | |
" # Compute residuals\n", | |
" residuals = y - generated.numpy()\n", | |
"\n", | |
" # Gaussian likelihood\n", | |
" return -0.5 * np.sum((residuals / noise_std)**2) - 0.5 * len(y) * np.log(2 * np.pi * noise_std**2)\n", | |
"\n", | |
"def prior_transform(u):\n", | |
" # Transform unit cube to parameter space\n", | |
" return 10 * (u - 0.5) # This gives a uniform prior over [-5, 5]\n", | |
"\n", | |
"def fit_data_with_vae_and_nested_sampling(model, x, y, nlive=1000):\n", | |
" ndim = 2 # Assuming 2D latent space\n", | |
"\n", | |
" def wrapped_log_likelihood(params):\n", | |
" return log_likelihood(params, model, x, y)\n", | |
"\n", | |
" # Run nested sampling\n", | |
" sampler = dynesty.NestedSampler(wrapped_log_likelihood, prior_transform, ndim,\n", | |
" nlive=nlive, bound='multi', sample='rwalk')\n", | |
" sampler.run_nested()\n", | |
"\n", | |
" return sampler.results\n", | |
"\n", | |
"# Assuming you have your VAE model and data (x, y_obs) ready\n", | |
"ns_results = fit_data_with_vae_and_nested_sampling(model, x, y_obs)\n", | |
"\n", | |
"# Print the log evidence and its error\n", | |
"print(f\"Log Evidence: {ns_results.logz[-1]:.2f} ± {ns_results.logzerr[-1]:.2f}\")\n", | |
"\n", | |
"# Get posterior samples\n", | |
"samples = results.samples\n", | |
"weights = np.exp(results.logwt - results.logz[-1])\n", | |
"ns_z_samples = dynesty.utils.resample_equal(samples, weights)\n", | |
"\n", | |
"# Plot the posterior distributions\n", | |
"fig = corner.corner(posterior_samples, labels=[r\"$Z_1$\", r\"$Z_2$\"],\n", | |
" show_titles=True, title_kwargs={\"fontsize\": 12})\n", | |
"plt.suptitle(\"Posterior Distributions\", fontsize=16)\n", | |
"plt.show()\n", | |
"\n", | |
"# Generate predictions using posterior samples\n", | |
"all_predictions = []\n", | |
"for sample in posterior_samples:\n", | |
" z = torch.tensor(sample, dtype=torch.float32).unsqueeze(0)\n", | |
" with torch.no_grad():\n", | |
" generated = model.decode(z).squeeze().numpy()\n", | |
" all_predictions.append(generated)\n", | |
"\n", | |
"all_predictions = np.array(all_predictions)\n", | |
"\n", | |
"# Calculate the median and 90% CI for predictions\n", | |
"median = np.median(all_predictions, axis=0)\n", | |
"ci_lower = np.percentile(all_predictions, 5, axis=0)\n", | |
"ci_upper = np.percentile(all_predictions, 95, axis=0)\n", | |
"ns_posterior_predictions = [ci_lower, median, ci_upper]\n" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 607 | |
}, | |
"id": "tg_vzdUP1ZD7", | |
"outputId": "11d3d1a4-4a8a-4453-a68b-4e62a02a23f4" | |
}, | |
"execution_count": 48, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"10894it [01:01, 176.32it/s, +1000 | bound: 49 | nc: 1 | ncall: 198029 | eff(%): 6.037 | loglstar: -inf < 47.458 < inf | logz: 36.792 +/- 0.099 | dlogz: 0.001 > 1.009]\n" | |
] | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Log Evidence: 36.79 ± 0.24\n" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 550x550 with 4 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"### Compare Fits" | |
], | |
"metadata": { | |
"id": "HxElnW5pr7oC" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# Plot all results\n", | |
"plt.figure(figsize=(5, 4))\n", | |
"plt.scatter(X, y_obs, label='Original Data', color='k', s=1)\n", | |
"plt.plot(X, optimized_fit, label='ADAM Optmized', color='tab:gray', lw=1)\n", | |
"\n", | |
"COLORS = dict(mcmc='tab:red', vi='tab:green', nested_sampling='tab:blue')\n", | |
"\n", | |
"for q, l in zip([vi_posteior_predictive, mcmc_posteior_predictive, ns_posterior_predictions], ['vi', 'mcmc', 'nested_sampling']):\n", | |
" plt.fill_between(X.flatten(), q[0].flatten(), q[2].flatten(), color=COLORS[l], alpha=0.4, lw=0, label=l)\n", | |
"\n", | |
"plt.xlabel(\"x\", fontsize=16)\n", | |
"plt.ylabel(\"y\", fontsize=16)\n", | |
"plt.legend(fontsize=12)\n", | |
"plt.xlim(0,1)\n", | |
"plt.tick_params(axis='both', which='major', labelsize=12)\n", | |
"plt.show()\n", | |
"\n", | |
"\n", | |
"\n" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 398 | |
}, | |
"id": "zcY0sTZSrxV9", | |
"outputId": "bc666dfc-ce61-4170-b948-9b99c632e469" | |
}, | |
"execution_count": 49, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 500x400 with 1 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# # Plotting the posterior distribution from VI\n", | |
"def get_normalisation_weight(len_current_samples, len_of_longest_samples):\n", | |
" return np.ones(len_current_samples) * (len_of_longest_samples / len_current_samples)\n", | |
"\n", | |
"\n", | |
"fig = corner.corner(vi_z_samples, labels=[r\"$Z_1$\", r\"$Z_2$\"], **corner_kwargs, color=COLORS['vi']);\n", | |
"corner.corner(mcmc_z_samples, labels=[r\"$Z_1$\", r\"$Z_2$\"], **corner_kwargs, color=COLORS['mcmc'], fig=fig,\n", | |
" weights=get_normalisation_weight(len(mcmc_z_samples), len(vi_z_samples)),\n", | |
" );\n", | |
"corner.corner(ns_z_samples, labels=[r\"$Z_1$\", r\"$Z_2$\"], **corner_kwargs, color=COLORS['nested_sampling'], fig=fig,\n", | |
"weights=get_normalisation_weight(len(ns_z_samples), len(vi_z_samples)),\n", | |
");\n", | |
"\n", | |
"ax = fig.get_axes()[1]\n", | |
"ax.plot([],[],color=COLORS['vi'],label=\"VI\" )\n", | |
"ax.plot([],[],color=COLORS['mcmc'],label=\"MCMC\" )\n", | |
"ax.plot([],[],color=COLORS['nested_sampling'],label=\"nested_sampling\" )\n", | |
"ax.legend(frameon=False, loc='lower left', fontsize=20)\n", | |
"plt.show()\n" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 738 | |
}, | |
"id": "4524d2kfuJqz", | |
"outputId": "3e481972-e10d-4bfd-bf0b-d61969c48298" | |
}, | |
"execution_count": 50, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Quantiles:\n", | |
"[(0.16, 1.561511664390564), (0.84, 1.7640851354598999)]\n", | |
"Quantiles:\n", | |
"[(0.16, -0.17966051697731017), (0.84, 0.02344159513711929)]\n", | |
"Quantiles:\n", | |
"[(0.16, 1.644076122891093), (0.84, 1.672226371695613)]\n", | |
"Quantiles:\n", | |
"[(0.16, -0.16521555952378536), (0.84, -0.08658772149208815)]\n", | |
"Quantiles:\n", | |
"[(0.16, 1.5128846375207594), (0.84, 1.5363772938609432)]\n", | |
"Quantiles:\n", | |
"[(0.16, -0.12538191775689878), (0.84, -0.06321684050562937)]\n" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 550x550 with 4 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
} | |
] | |
} |
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