{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# A Tour of PyTorch Optimizers\n", "\n", "Have you ever found yourself using optimizers such as `Adam` and `RMSprop` without actually knowing how they worked? Me too.\n", "\n", "Together, we're going to walk through some gradient descent optimization algorithms, giving some intuition on how they work and then implementing each one in PyTorch.\n", "\n", "Before we start to walk down this path, one quick clarification on something that gets lost in the weeds sometimes. Backpropagation is the algorithm which computes the gradient of the parameters within a neural network with respect to the loss. Gradient descent optimization algorithms take that per parameter gradient and use it to figure out how it should update the parameters to reduce the loss. \n", "\n", "Another quick note: these implementations are more for educational purposes and when actually training a neural network then you should definitely use the proper PyTorch optimizers provided in `torch.optim`. I've done my best to ensure these implementations are correct, but I've leaned towards readability over efficiency.\n", "\n", "Finally, I make no claim there is a \"best\" optimizer, because there isn't one. A recent [paper](https://arxiv.org/abs/2007.01547) has shown that there is no optimizer that is consistently better than all the others across all problems. The optimizers shown to do better here are doing so on a single problem, classification of MNIST digits using an MLP with a single hidden layer. I also make no attempt to do a fair grid search across different learning rates and optimizer hyperparameters. Some optimizers we'll just fire off with the default values and some we'll try a few different hyperparameters just to see what happens. We also don't look into using any learning rate schedulers, and we only run our experiments with a single random seed.\n", "\n", "With that being said, if in doubt, using `Adam` with the default hyperparameters is usually a good starting point.\n", "\n", "Now, let's begin by importing some libraries we'll be using." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import random\n", "import torch\n", "import torch.nn as nn\n", "import torch.nn.functional as F\n", "import torch.utils.data as data\n", "import torchvision.datasets as datasets\n", "import torchvision.transforms as transforms\n", "import tqdm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll also set the random seed, so hopefully these results can be replicated." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "torch.manual_seed(1234)\n", "random.seed(1234)\n", "np.random.seed(1234)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All of our experiments use the infamous MNIST dataset. MNIST is made up of hand drawn digits, from 0-9, represented by 28×28 pixel black-and-white images.\n", "\n", "We'll normalize the images using a pre-computed mean and standard deviation and perform some data augmentation, namely: randomly rotating and cropping the images.\n", "\n", "Note that we only get the training data as we only care about how well these optimizers minimize loss and not how well the architecture generalizes. In practice lower training loss doesn't necessarily imply better validation/test loss due to overfitting." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "mean = 0.13066048920154572\n", "std = 0.30810779333114624\n", "\n", "train_transforms = transforms.Compose([\n", " transforms.RandomRotation(5),\n", " transforms.RandomCrop(28, padding = 2),\n", " transforms.ToTensor(),\n", " transforms.Normalize(mean = [mean], std = [std])])\n", "\n", "train_data = datasets.MNIST(root = '.data', \n", " train = True, \n", " download = True, \n", " transform = train_transforms)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then create the iterator for the data. \n", "\n", "The batch size is chosen arbitrarily and your results may differ if using a different batch size. Note that in practice a larger batch size usually allows you to use a larger learning rate." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "batch_size = 128\n", "\n", "train_iterator = data.DataLoader(train_data, \n", " shuffle = True, \n", " batch_size = batch_size)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we'll define our architecture: a multi-layer perceptron (MLP) with a single hidden layer. \n", "\n", "The `init_params` function can be called to initialize the values following the \"Kaiming\" (also known as \"He\") initialization scheme because this usually does a good job when using the ReLU activation function. The biases are initialized to zeros, which is pretty common.\n", "\n", "Your initialization scheme will also change the results of your optimizers, but I believe the one we're using here is sensible." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "class MLP(nn.Module):\n", " def __init__(self, input_dim, hid_dim, output_dim):\n", " super().__init__()\n", " self.layer1 = nn.Linear(input_dim, hid_dim)\n", " self.layer2 = nn.Linear(hid_dim, hid_dim)\n", " self.layer3 = nn.Linear(hid_dim, output_dim)\n", " self.init_params()\n", "\n", " def init_params(self):\n", " for n, p in self.named_parameters():\n", " if 'weight' in n:\n", " nn.init.kaiming_normal_(p, nonlinearity='relu')\n", " elif 'bias' in n:\n", " nn.init.constant_(p, 0)\n", "\n", " def forward(self, x):\n", " # x = [batch size, channels, height, width]\n", " batch_size, *_ = x.shape\n", " x = x.view(batch_size, -1)\n", " x = F.relu(self.layer1(x))\n", " x = F.relu(self.layer2(x))\n", " x = self.layer3(x)\n", " return x" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our model uses a 256-dimensional hidden layer. Again, this is chosen pretty much arbitrarily and smaller values may work just as well." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "input_dim = 28 * 28\n", "hid_dim = 256\n", "output_dim = 10\n", "\n", "model = MLP(input_dim, hid_dim, output_dim)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Supervised learning where each example belongs to a single class almost always uses cross-entropy loss." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "criterion = nn.CrossEntropyLoss()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll then put the `.to` method to put the model and the loss function on to our GPU, if we have one." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')\n", "\n", "model = model.to(device)\n", "criterion = criterion.to(device)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next up, we'll define some functions for training the model with our optimizers and plotting the results.\n", "\n", "`train_epoch` performs a single epoch of training and returns a list of losses per batch." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "def train_epoch(iterator, model, optimizer, criterion, device):\n", " \"\"\"Performs one epoch of training.\"\"\"\n", " \n", " losses = []\n", "\n", " for images, labels in tqdm.tqdm(iterator):\n", " images = images.to(device)\n", " labels = labels.to(device)\n", " optimizer.zero_grad()\n", " predictions = model(images)\n", " loss = criterion(predictions, labels)\n", " loss.backward()\n", " optimizer.step()\n", " losses.append(loss.item())\n", "\n", " return losses" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`train` initializes a model and then performs `n_epochs` of training, storing and returning the loss per batch over all the epochs." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "tags": [] }, "outputs": [], "source": [ "def train(train_iterator, model, optimizer, criterion, device, n_epochs=5):\n", " \"\"\"Trains the model for the given amount of epochs.\"\"\"\n", " \n", " losses = []\n", "\n", " model.init_params()\n", "\n", " for epoch in range(n_epochs):\n", " epoch_losses = train_epoch(train_iterator, model, optimizer, criterion, device)\n", " losses.extend(epoch_losses)\n", "\n", " return losses" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have two functions for viewing our results.\n", "\n", "`plot_loss` is used for plotting the results of a single experiment. `plot_losses` plots the results of multiple experiments, which is used to compare optimizers against each other." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "def plot_loss(loss, title=None, ymin=0, ymax=None, figsize=(15,5)):\n", " \"\"\"Plots the loss from a single experiment.\"\"\"\n", " \n", " fig, ax = plt.subplots(figsize=figsize)\n", " ax.plot(loss)\n", " ax.set_title(title)\n", " ax.set_ylabel('Loss')\n", " ax.set_xlabel('Update Steps')\n", " ax.set_ylim(ymin=ymin, ymax=ymax)\n", " ax.grid()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "def plot_losses(losses, labels, title=None, ymin=0, ymax=None, figsize=(15,5)):\n", " \"\"\"Plots the losses from multiple experiments.\"\"\"\n", " \n", " fig, ax = plt.subplots(figsize=figsize)\n", " for loss, label in zip(losses, labels):\n", " ax.plot(loss, label=label)\n", " ax.set_title(title)\n", " ax.set_ylabel('Loss')\n", " ax.set_xlabel('Update Steps')\n", " ax.set_ylim(ymin=ymin, ymax=ymax)\n", " ax.grid()\n", " ax.legend(loc='upper right')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's implement our first optimizer!\n", "\n", "## Optimizer 1: Stochastic Gradient Descent (SGD)\n", "\n", "Stochastic gradient descent is the simplest optimization algorithm, so it's a good place to start. We take our current model parameters $\\theta_t$ and subtract the gradient of those parameters, $\\nabla_\\theta J(\\theta_t)$, multiplied by the \"learning rate\", $\\eta$. \n", "\n", "We can think of the learning rate as a parameter that controls the magnitude of the parameter update. If our learning rate is too small then our parameter updates will also be too small for us to train our model in a reasonable amount of time. Conversely, if our learning rate is too large then the size of the parameter updates will be so large that learning will become unstable! If you ever get a `NaN` value for your loss, one of the first things to try would be lowering the learning rate.\n", "\n", "The SGD algorithm is:\n", "\n", "$$\\theta_{t+1} = \\theta_t - \\eta \\cdot \\nabla_\\theta J(\\theta_t)$$\n", "\n", "However, we don't just have one set of parameters, $\\theta$, we have multiple parameters: the weights of layer 1, the biases of layer 1, the weights of layer 2, the biases of layer 2, etc. So we'll subscript the parameters with $i$:\n", "\n", "$$\\theta_{t+1,i} = \\theta_{t,i} - \\eta \\cdot \\nabla_\\theta J(\\theta_{t,i})$$\n", "\n", "We subtract because we want to descend the gradient and move towards a lower loss value. Addition would ascend the gradient, hence it's called gradient ascent.\n", "\n", "One final thing to mention is the difference gradient descent, stochastic gradient descent, mini-batch gradient descent and on-line gradient descent. **Gradient descent** means we calculate the gradient using every single example in our training set and then do a single parameter update. This is relatively slow as in our experiments it means only updating the parameters after seeing all 60,000 examples. The other extreme is **stochastic gradient descent** which means we update our parameters after every single example. This is usually very noisy, so a happy medium is updating the parameters after we have seen a *batch* of examples, **mini-batch gradient descent**. Last up is **on-line gradient descent** which usually implies our model is in production and is being constantly fed new examples on which it is using to update its parameters.\n", "\n", "Confusingly, **gradient descent** is sometimes called **batch gradient descent**, where the whole dataset counts as one giant batch, hence why using sampled batch of examples is called a *mini-batch*. \n", "\n", "In PyTorch, the optimizer is called *stochastic gradient descent* even though it can do any of the above gradient descent variants. The general rule of thumb is that nowadays when someone mentions stochastic gradient descent then they mean mini-batch gradient descent.\n", "\n", "Anyway, on to the implementation. All optimizers need a way of keeping track of the parameters they're supposed to be updating `model_params` and a learning rate, `lr`. SGD in PyTorch doesn't have a default learning rate but `1e-3` is a common default learning rate value for other optimizers, so we use it here. All optimizers need a `zero_grad` function in order to remove the gradients calculated from the last update step, and a `step` function to perform a parameter update. \n", "\n", "Note that any PyTorch method with a trailing underscore, e.g., `.sub_`, means the operation is in-place. This means ourour `step` function is updating each `param`, a tensor of parameters, in-place. These in-place operations are usually significantly faster non in-place operations." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "class SGD:\n", " def __init__(self, model_params, lr=1e-3):\n", " self.model_params = list(model_params)\n", " self.lr = lr\n", "\n", " def zero_grad(self):\n", " for param in self.model_params:\n", " param.grad = None\n", "\n", " @torch.no_grad()\n", " def step(self):\n", " for param in self.model_params:\n", " param.sub_(self.lr * param.grad)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can define our optimizer like so:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "optimizer = SGD(model.parameters())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we use it to train our model for five epochs and get the training loss." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 39.89it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.79it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.81it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.57it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.91it/s]\n" ] } ], "source": [ "sgd_loss = train(train_iterator, model, optimizer, criterion, device)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's plot it and see what it looks like." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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BXiW4c0RbdGgc57qfU1BchaMhIiIiIqLaigFeJTEGeAu2n6jCkRARERERUW3FAK+ShNltePSCjgCAEoeq4tEQEREREVFtxACvEkWGO9/uwhJHFY+EiIiIiIhqo5AFeCLSUkQWisg2EdkiIg+ZHJMqIudEZL3282yoxlMdJESFAwAOZeRW8UiIiIiIiKg2CgvhuYsBPKqUWisi8QDWiMivSinvUpGLlVIXhnAc1Ub92AgAwBsLdlfxSIiIiIiIqDYKWQZPKXVUKbVWu50FYBuA5qF6vpqgoRbgERERERERhUKlrMETkRQAfQCsMNk9WEQ2iMhsEelWGeOpKtER9oDHHDmbVwkjISIiIiKi2kiUCm1FRxGJA7AIwN+VUt977UsA4FBKZYvIRACvK6U6mJxjMoDJAJCcnNzv66+/DumYyyI7OxtxcXF+j1FK4bZfAq+/+3h8bEUNi+qgYK5FolDjdUjVAa9Dqg54HVIojBo1ao1Sqr/ZvpAGeCISDmAGgF+UUq8FcXw6gP5KqVNWx/Tv31+tXr264gZZQdLS0pCamhrwuMmfrsbcrcf9HpM+dVIFjYrqomCvRaJQ4nVI1QGvQ6oOeB1SKIiIZYAXyiqaAuBDANusgjsRaaIdBxEZoI3ndKjGVB1EhAV+y4vZRoGIiIiIiMoglFU0hwK4CcAmEVmvbXsSQCsAUEpNA3AlgHtEpBhAHoBrVajnjFYxmzOe9etsXhGS4iIrYTRERERERFSbhCzAU0otAeA3mlFKvQXgrVCNoTpasS9wgvJMTqErwFu65xTeTduDj28bALstcHBIRERERER1VygzeGTCbPZldLgdeUUlrvsZOYWu2/d/uQ4ZOYXIyClEo3hm9YiIiIiIyFqltEkg/yLDPX8NZ3LdAZ6etCtx1OqZq0REREREVAEY4FU630DNe+JlRk6Re5+2Zi/fkOEjIiIiIiIywwCvksVGes6KvbxPc5/CK0/+sAnZBcUA3MHf4l0nK2N4RERERERUgzHAq2Qf3zbA476IIEsL5ozeTduN/KISnMgqAAA889MWFBazfQIREREREVljgFfJ2iTFetwXgdmsTew4loWBL8732PbIt+tL/Xzpp3KQMmUmth3NLPVjiYiIiIioZmGAV8UEwPf3DkH9mHCP7fO2ncC5vCKPbTM2HgUAnMsrQkFxcGvyftlyDADww7rD5R8sERERERFVawzwqpgI0L15PVzYs1nQj+n1/Fzc/OFK1/3Nh89hxd7A/fWIiIiIiKh2Y4BXBXo0r4fkBGdPu+7N6wEAHCq4Ngjfrj4IAFixL8O17cI3l+Ca6csreJRERERERFTTsNF5FfjfA8MAAFuPZKJL03gAQLBt7h7/70bX7eOZ+UhOiKrw8RERERERUc3EDF4V6toswdXnrkPjOMvjLuiabLr921UHPe4rQxYwv6gEBzNyK2CURERERERUUzDAqyZuHZKC7+4ZbLrvqn4tTLe/+utOzN923HW/1/NzXbfv/WIthr+80KxAJxERERER1VIM8KoJm03Qr3UD033+pm/e/slq1+3MfHc/vQXbTwAAikvYO4+IiIiIqK5ggFcDDGxjHvgFo6iEOTwiIiIiorqCAV4NUD82Ap/8YUBQx6ZMmYmNh8667hcxg0dEREREVGcwwKtm3rmhL567qCtuHZLisX1kx0ZBB3n//j3ddbuwOHCAt2jnSfbRIyIiIiKqBdgmoZqZ2KOp6/bHS9M99o3s2Cioc/yw7rDr9toDZwIef8tHzqbp6VMnBXV+IiIiIiKqnpjBq2FmPjisVMevPXAWAOAIttEeERERERHVWAzwqrFOyfHo3TLRY1u3ZvU87s98cBheubJnwHMVM8AjIiIiIqr1OEWzGvvl4RF+9z82rhO6NauH/KLA6+y+XHkAEWE2PDmxi+UxmflFSIgKL/U4iYiIiIioemAGrwZ6YkJn9G6ZiPtGtQcARNgD/xoLix2Y/ttev8f0fG4uq24SEREREdVgDPBqoLtGtsOP9w113Q8Pk6Afm1PgbIY+5buNuO+LtT77T2cXln+ARERERERUJThFsxYIDyKDp1uz/wyGd0jC16sOAgB2vrbIY/+JrHw0qRcFAFDKuW5PJPgAkoiIiIiIqg4DvFogmCmaups/WonWDWNc93edyPbYfyKzwHW7zROzcGW/FvjHVb3KP0giIiIiIgo5TtGsBUqTwQOA/adzLfcdyMjF6FfTsPekM/D775pD5RobERERERFVHgZ4tYBN+y0mxUXitat9s223DkkBADSOjwx4rhdmbMXekzl4b5H/gixERERERFT9MMCrBezaGrnEmHD0b93AY9/r1/bGcxd3w7xHRmBij6ZBn/NsnrvYypCX5uNkVoGfo4mIiIiIqDrgGrxaoGFcJJ6/uBvO79IY9WMiXNu3/3U8osLtAID2jeMRGR58PJ+R4w7wjpzLx0uztuG1a3pX2JiJiIiIiKjihSyDJyItRWShiGwTkS0i8pDJMSIib4jIbhHZKCJ9QzWe2u6WISloUT8GsZHumF0P7lz3w+zeD7PknbH7ft1hOByqfIO0cC63CMfO5Yfk3EREREREdUkop2gWA3hUKdUFwCAA94lIV69jJgDooP1MBvBuCMdTp7RsEO2zLcwWfLuDdJNCLAfP5OK3nSeRrfXSqyjDXl6AQS/Nr9BzEhERERHVRSGboqmUOgrgqHY7S0S2AWgOYKvhsEsAfKqcDdeWi0iiiDTVHktltOX5cbCbBHNFJY5ynXfPyWz84ePVGNs1GdNv7u/32LzCEhQ7HIiPCg943qz8ig0YiYiIiIjqqkopsiIiKQD6AFjhtas5gIOG+4e0bVQOsZFhPtMzAaDAK8B74ZJuePO6Pmie6JvtM3M2twgAMHfr8YDB4vCXF6LHc3ODHDEREREREVWEkBdZEZE4AN8B+KNSKtN7t8lDfBZ6ichkOKdwIjk5GWlpaRU9zHLLzs6uluMy2pvuXFc3sY0zq9Yifx9sBYKr2znwzzWBH//Itxtct5/7fD6GNgvDtzsLcXn7CCREun+VZ/IdOJXtfC5/78mMPYVol+gORKv7+1dT1IRrkWo/XodUHfA6pOqA1yFVtpAGeCISDmdw94VS6nuTQw4BaGm43wLAEe+DlFLTAUwHgP79+6vU1NSKH2w5paWloTqOy2jumU3A/gMY3LMjbhqc4t6x4wSwZlWpzvXFtkL8Z2cxCkscaNAoGa9d3RsA8I9fduCttN2u4/y9J7fOmQmgyOPYw2fz8NWKA3h0bEeIBL9mkNxqwrVItR+vQ6oOeB1SdcDrkCpbKKtoCoAPAWxTSr1mcdjPAG7WqmkOAnCO6+9C56KezQAAQ9snVcj5CrVpmt+vPYyUKTMBAG8t3O3vIQHd98VavLVwN7Yfyyr3+IiIiIiI6ppQrsEbCuAmAKNFZL32M1FE7haRu7VjZgHYC2A3gPcB3BvC8dR5g9s1RPrUSWjbKK5Sn3fN/gzc/vEqFBvW7Tnr6nhSSiG30Flw5dmfNiP9VE6ljZGIiIiIqDYIaoqmiMQCyFNKOUSkI4DOAGYrpYqsHqOUWgLzNXbGYxSA+0oxXqrGrAqv3P/lOhw9l48TWQVophV0KTQ5tqhEoVjrtbcq/Qwe/HodxnZNxk2DUlAvJnA1TiIiIiKiui7YDN5vAKJEpDmA+QBuA/BxqAZFlatrs4QKOc/xTN9m5Rk5hSjRgrazuUVYuucUAOBEZoHPsYUlDmTmuVsmbDx0Dv+YuxPP/28LAGebhs7PzMb+04EzewXFJWV6DURERERENVmwAZ4opXIBXA7gTaXUZQC8m5ZTDdU4PgrpUyf5bL8ntV2pzjPs/xb6bLtq2lJXgDfxjcW4/v0VyC4oxvCXfY+d/tteV/VNI72x+n/XHEJ+kQMzNh7Fop0n8e3qgz7HAsCWI+fQ6ek5+HXr8VKNn4iIiIiopgs6wBORwQBuADBT2xbyFgtUtSqihuWekzko8Vpvt+HgWdNj/2sRsIkAJ7Lysf6A+3G3fLQSj/93o+nxa/afAQAs2nmi9AMmIiIiIqrBgg3S/gjgCQA/KKW2iEhbAL4pGKpV2iTFVsh59Abpuoe/WW96nJ6pM3PRm0tw3GRap5miEmdAGWYLZQ0hIiIiIqLqJ6gATym1CMAiABARG4BTSqkHQzkwqlpfTx6EgW0aYNvRLKzen4GNh87hol7NMKlHU9z9+RqE28UVSJXWiSzzQC3LIsA7kJEXdHAHwFWtMyKMAR4RERER1S3BVtH8EsDdAEoArAFQT0ReU0q9EsrBUdW4bkArDGrbEADw7EXOpZYnsvJRPyYCh8/kAQDqx0S4ArVh7ZOwZPepcj+vSecEAMC2o5mlOo9eiTPM5p5kumb/GbRNikX92Igyj4+IiIiIqLoLNsXRVSmVCeBSOHvXtYKzxx3VQi9d3sNnW+P4KITb3ZdLpybxrtt/GtepUsale+WXHa7bDodvVFhY7MzgGcd7xbtLcdV7y0I/OCIiIiKiKhRsgBcuIuFwBng/af3vyjY/j6qtu0a2xdOTuvg9JiUpFi9f2RNvXdfXtS0yyKmQ7RtXfIP1gmLffnrFDj3Ac2bw9Kbqu09k+xx74HQu9p7MRn4R2yoQERERUc0XbJGV9wCkA9gA4DcRaQ2gdPPmqNp7YoL/4E53df+WHveDXesWFV7xa+LyikoQHWH32OYqsqJl8EySfC4jXnHWCmqeGI3fp4yu8PEREREREVWmoD5xK6XeUEo1V0pNVE77AYwK8diohgg2g2eXimi84Gn70UzsOp7lsa3QK6tXVOKb5fN2+GxehY6LiIiIiKgqBPXJXETqichrIrJa+3kVQMXU0KcazzuDd1mf5rDbBHeNbOuxXUIQ4F3/wQpc8M/fAACZ+UW46cMV2H7MmVzWq2mWmKTwflx3GD9vOOKxbcexLKRMmYlNh85V+DiJiIiIiCpDsHPmPgKQBeBq7ScTwL9DNSiqGX66bygWPDoSkWGeUyT7tq6PPS9ORIvEaADO6Y9xkWF4dGxH0/PcOKhVucdyKrsAP607jMW7TmH53gwAzqmab8zfhZGvuFs27j2Zje3HMvHHb9bjwa/WeZxj/vbjAIAZmzwDPyIiIiKimiLYNXjtlFJXGO4/LyLrQzAeqkF6tUwEAN8CJVpRk5gI5+UVHxXmd31b6wblTwb3/9s8n225hcV4f/E+j22jX11keQ69rUJxicLbC3ejS9N4rEo/g4fHdGRPPSIiIiKqEYIN8PJEZJhSagkAiMhQAFy0RACACLtn8KNPiEyIDgfgOUXy+3uHIDE63BVoTZnQGbcMScHfZ22r8HF5B3eBhNmcr6O4xOHRiqF9ozhc0a9FhY6NiIiIiCgUgk1L3A3gbRFJF5F0AG8BuCtko6IaxWbzXFunNyyPj3J+f1Bi6GDet1V9tG0UB3053t0j2yEizIZ+resH/XzXntcy8EFloLdVyCoo9ti++6S7vUJ+UQkOnM4NyfMTEREREZVXsFU0NyilegHoCaCnUqoPANaUJ1N637mEKGcGz6wZ+YJHU/HBzf1d9xO1bJ+3JglRPtvGd29SEcP0YdcyeN+vPeyx/UxOoev2o99uwIhXFqKguPR98zLzi7D7RFbgA4mIiIiIyqhUC4uUUplKKb3/3SMhGA/VInp/OmMGT9cmKRZjuia77o/s1Mhjf0SYDa0bxmDqFT18HpvaqTGW/Lniu3Q8+cMm0+16Xz0AmLfNWYhl/YGzHoHrugNnkDJlJg6dsc7uXfPecox57bcKGi0RERERka/yVI6o+Jr3VGN9dGt/DO+QBMC9Bi8pLgIAcN2AwFUybxrUGj/fP9R1Pyk2AoseG4XUTo3Rs0U9TPDK2kWH271PETLFDncfPX094TXTl+PDJc41fjuPZ+GdtD0AgCW7TlmeZ9vRTI/7p7MLypQJJCIiIiKyEmyRFTO+aRmqs0Z3TsayPaexeNcp2LU1efFR4dj19wmu6pT+iAia1IvyuK/7+f5hOJGVj9mbj7m26dlBbzYBGsVH4nhmQVlfig9jo/RiQ9Zuh9Zgfew/3Vk5s1Z/czYfQz3DFNQSh4LdJuj3t3k4v3NjfHjreRU2ViIiIiKq2/wGeCKSBfNATgBEh2REVGM9eH4HFDsUru7vLoISbi9Fkthwpdm8HhbutSFK6703IKUBVqZnuLZ/e9dg9E9pgIe+Xoef1ldMP7tZm47B4VA+xWSCbZ1w9+drPO7f+u+V+OS2AQCA+dtPuAK+QJRS2H4sC12aJpjuLy5xIM+7ZQURERER1Sl+P6EqpeKVUgkmP/FKqfJk/6gWio8Kx18u6oaoMk6fDDMEg3avVJjd7nnfZhOkT52Eb+8ejPSpkzzGAAAvX9kTMx8cVqZxmHn0Pxt8tkXYbTiXW2R6/O4T2Xji+00eLSJ0i3edQqEhK9jtL3OCGsOny/ZjwuuLsWzPadP9j3y7AT2emxvUuYiIiIiodmL3Zqo2GsRG4OlJXQAANq8AzzuDZyVOa80QGWZHs3oVl2T+Yd1hDHlpvse2/adz0OsFz4BKryfz4Ffr8NXKAz7r7nRZ+e5WDPlFzmDvhg+W44p3l1qOYesR57nST+eY7v95gzNj6TApakNEREREdQMDPKpWrtZ63N04qLXH9jC7/ymMV2qNyI1r3cqaSbRy5Fy+x/2FO076HKNn5vTxFptk8ADg2unLPO6fyyvC77tPY83+Mz7Hbjp0Dscz811TRL2zgqvTM7D58DnXfc7SJCIiIqq7OM2SqpWEqHCPKZe6QIVaXrq8B+4f1R5xke5LOtJijdxj4zqhf+v6OHIuD4//d6NHG4TyWrLrFJonRrvWHuZ6NU3X7TnpmYU7kekOHodOXYD+KfXx+rV9AAAXvbUE0eF2VxDrUAoZOYV47dcduGVwCq6c5hksFjpARERERHUUAzyqEcSsPKVBuN2GlKRYj23eRVF0A9o0wHkpDQAAJQ7gT17r6/5yUVfsPJ6Nr1YeKPU45249jrlbj2NgG+f5D/rpi2eUbQgED5/Nw+H1ea4ADwDyikpchVh+WHcYz/60BQDw+XLfMRZZZA2JiIiIqPbjFE2qc/INcxjNYsAr+7XAS5e7G6xPmdC51M9xIsvZpuHP35k3T/d256erfbZ9v/YQlGE9nb4ucd2Bs37P9dPuIize5Tt9dMH245i16WhQ4yEiIiKimokBHtVqP943FLcOSQEAPHNhV4zu3NiVvQN8i7kA8GlZEB8VONF9Vb8WaN84znV/3ynzQihWTmUX+mx75NsN+GKFO0P3xYr9fs+hv5RFh4px04crAQDP/bwFS3c7m6//4ePVuPeLtX7PkZFTiGd/2uwRBBMRERFRzcEpmlSr9W6ZiB7N62FU58YY2bERbh/WxmO/2TRO3wAv3OcYb+0bx+FYZj52n8gu34C9GIuuFBT7X1xnE0GJIeOnlMLHS9Px8dJ0j3WNp7ML0DAu0vQcb8zfhU+X7UfnJgm4fmCrco6eiIiIiCpbyDJ4IvKRiJwQkc0W+1NF5JyIrNd+ng3VWKh2iAyz4Sav6prBsNsEIzs2Mt1nNkVT78HXJCEKABAfGfh7EIcCkrXjK1Lg9udu3q/FKiA8k+ubLdTplUf9HROMz5bvR8qUmSgMEJSGwonMfOw8nlXpz0tERERUHYQyg/cxgLcAfOrnmMVKqQtDOAaqRXb8bUKFn7Nr0wQAQJ9Wia61bXoGb+GfUlHkcGDnscDBgkMpNK1X/gAvKS4Sp7ILXPe/X3c46Mc6p5u6M3idnzFvoH4uz7yyJwAkxoRrx5g3cPeWmV+E3IISJMaEe7SleG3uDgBAVn6RZbYwVIb+3wIUlSjTaqxEREREtV3IMnhKqd8AZITq/EQVoW2jOGz/63j87dLurm16xc7oCDsSosIRHRFcP72yZvAi7O5/hnGRZe/dpwdnZn7Zcsx1++YPV1gep/cRPJMTXAZv7Gu/YdBL89H5mTnYZcia6UFyVRT0rMi2F0REREQ1TVUXWRksIhtEZLaIdKvisVAdFRVuR7dm9Sz3GwMwK0opJJUxU/X1XYNct9NPB9dWwUyTetGW++76bI3rdk5hCd5euBtHz+V5HLPreBay8p2Zu6NeTd2tHDP079t4yN1sXQ+Six2+UzQdDmXa0N1Mj+d+wf/N2R7UsURERERUtUVW1gJorZTKFpGJAH4E0MHsQBGZDGAyACQnJyMtLa2yxhi07OzsajkuKj3v32ORQ6FlvA0Hs6zXk+3Zuw+2M6XPvr2WGo3Mve4+fM3jBIezS5+BSowUnDmbGfTxr/yyA6/8sgMfjYuBTQSfbS3A/APuqZs7Dp/2eB8cWvEWY9XRj7e4p5ICwKat29AwazcAoKjQmQFc/PsyNI6xYcPJYiRF29A8zoYZewvx351FeGJAFDo1sH7PcosUsvKL8W7aHgyMOoZtp0uQU6TQv0lwf7b477Fq8W8iVQe8Dqk64HVIla3KAjylVKbh9iwReUdEkpRSp0yOnQ5gOgD0799fpaamVt5Ag5SWlobqOC4qhTkzAcD093jBaGDQi/M9MlYAMLBNA8RE2PHM1b1x+EweXl61xLVvxZPnY+CL8/0+5eXjR3s895MX98F9X/pvZWDUon40hndohF+3HkN4VDiQVbr2DIOHjkB0hB23as+vO5mnMHLkSBzLzIdSwAWvLULrhrGY9dBw1zHej/l4SyEevHwkGsRGIHrZfJwtyEff/uehfeN43DrFeWz61En47ug6AEfw/laFf9/aBz1amGdPU6a4z5+amuo6R6sGdvz2+CjrF+Xn90iVh38TqTrgdUjVAa9DqmxVNkVTRJqINo9LRAZoYzldVeMhevGyHhjSrmFQx4bbnZmsQW0b4t+3DUCD2AiPfnlzHx5RpjV5UeGl/yd5Misfp7ILsedk6YI7ACgymUKp+3z5fgx+aQGGTF2AnMISbD3q/E4mM7/Ish3EhoNnAbgzfWaVPPVs4KnsAlzx7lI88s16bDsafPbxQEbZp7EGSymFf83b6TONlYiIiKi6C2WbhK8ALAPQSUQOicjtInK3iNytHXIlgM0isgHAGwCuVUqxOgJVmesHtsKXdw6y3D++exMAwM2DW2PZE+fj7ev74oHR7V379QAvLjIMHZPjLc9T308xFO8efGau7NfC4/7eMgR2umI/BUme+WmL6fZr31uOMa8tMt3nmsqp/WUpKlH4dtVBz2MMlVcKSxz4ft1hTHh9cWmG7WPfqRyP6qMAsPtE2Vsl7DyejX/N2+W3Mfzhs3nIK2RDeCIiIqpeQjZFUyl1XYD9b8HZRoGoRnh6UhfcP7q9q5jKpJ5NPfbrDdG7Nkvwe54LezbDZ8v3e2x754a+KCgucRUn8WdSj6b475pDrvth9tJ0y/P047rDmLnpaKkes9VPtk3/ikbP4BUWO/D4dxtd++//ci1mbz5m9lAczMhFi/rREBGP6ZnBGPWPNADOzKlu/L8WY/eLE0t1Hp3+a8jOt24pMXTqAgxrn4TP7xhYpucgIiIiCoWqLLJCVKOE2W1+K2VGhNnw/b1D0K5RnN/zmMVwE3s4g8VFO08CABrERiDDolVBywae1TLL04rgtV93IrvAOojxplfZ9OdgRi6OnnWuVSwq8ZyiOWOjdTD5xYoDmLZoDzY8Ozbo8czYeAQNYiNc979cccB1u9jrjVFKoaDY4dGvz0qYlkktsXhz9ckGS3b7LBkmIiIiqlJV3SaBqFbp26q+q5ecUUrDGOizL/X4bmKPJj7H6fu6Nk3A9QNbma7Ja1E/xuN+fpHvNME1T49x3TauDdRd0dc5zTOYKaFGPZ6b63d/iVIY/vJCFGqBXaHJGjwrP6xzZiXTdp7w2ffcz57TRR0OhXN5Rbj/y3W4/n13Xz+ztgy6V+fuROdn5lhOq3z6x02YqE0V1TOpVmsUzXrtncouwGmvaaJERERElY0BHlEl+M/dQ/DMhV0BOIOH7X8djzev6+tznDG79+JlPXDPyPY+x0SF2/HbY+4qkmYBXkNDpvGJCV0AABf1aoYuTZ3TR/UgNFAAZhYc+mPstwc4C7IES5/WeSrbN3P58dJ0j/t5RSU4meUbTJX4eTlfr3Jm97YezUTKlJlYtsezptPnyw+4pp/qmbsSk0Du9Xm7MOkN3zWD/f82D/3+Ns96AERERESVgAEeUSWIsNtgLCEUFW73mz1T0PvOme/XA8EIuw1/v6wHAODx8Z1wlaEAyz+v6YXrB7bCmC6NER8Zhgndm6BEy0jFaYFbnklwaJQQZV0QJhhnLKaZmtGbqx8LonJlTmGxabauxE8GT8/KLdrhzBB+uiwdALA6PQPfrHJP7Xxj/i6kn3IWrvGe5gkA/5y3E7ssqogSERERVTWuwSMKoXrR4TiXVwR7kIVQBJ7H2SwivBb1o3HfqHa4sl9LtEmKRfrUSQCca8MmJGUAAC7r0wKX9XEGfJueHwcA+MfcHQCA6CDWoQHOiqDlcSY3+Aye7sjZ/IDHrNp3BnO3+hZrMQvIHA6F5/+3xZXx08c0e/MxzNl8DHd/7pl1fO3XnYjXXveJrAJk5Re5CuiYWbrnFIa0Swo4Zn/yi0rwzI+b8di4TmgcRHuNrPwi7D+di+7NzXsIhlJBcQlu+mAl+qXUx5/Hd6705yciIiL/mMEjCqHv7hmCh8d0RGyEHed3aQzAt82BkV4RMzrcGWDoj5l+Uz+P40QEj43rjDZJsT7bbX4qceotCoLttxdnmKJptmYwkG+8WiQE40gQGbz7vlyLn9Yf8dluVhRl76lsfLLMXbX0bJ476PzdokhKlqHwzKtzd/ody8msAhR7zQ01dnzZdOgcAnWA+WXLMfxnzSH8beY2v8fp7v9yHS58cwnyi0osC8GEyj9+2YGV6Rl4N21PpT4vERERBYcBHlEItW8ch4fGdICIoHVDZ6bNX9ZlQEoDPHJBR0y9wjntsnOTBKRPnYSx3ZqgeWK05eOC9ffLeqBL0wSkeAWGVoxr8J6a1LXUz3csM3A2zpvZ2rpgHTd5Pu+CKGdzg582CjgLt6SfyrEszqIUkOnVTqH9U7NxwwfLMWfzUVz01hL8sO6w3+fQg/ItR84FNabNh53H3fnparR7cpZre8qUmXjll+1BnaOsDp9l83ciIqLqjAEeUTViswkePL+DaTuGuQ+PwNpnLijX+Ye2T8Lsh4YHPUXTOI6osOD+XKQ0jPHZNrBNg+AGCPN1e+el1EfjeOsWFbrdJ3ybvnsXoTmXV7ppozYRpP4jDQ9/s950v0Mpn+cocSj8vvs00k/nAgC2H3M2XT+YkYvtx9x9BBfvOonx//rNVX1zz8kcvDR7GwqLHcgttG5fkaAVyVm8yzcD+fbC0GbWKiNjqJQqdaCvlMKzP23GhoNnQzMoIiKiGoIBHlENERsZ5tHzrTwc2pTBQIFXI0NQFcxzN0mIwvldkn2292qZGPTYckwyZVf0bYGPbxsQ8LGnczyDgmV7Tvv0+dt4KLgsmU4PNBbu8G3fADjHayxWYwyAwu3OP7F6tdLhLy/E+H+5K3Au2H4C249lYdYm93rC9xbtxbXTl6Hrs79YjinBq7ppVn4RjlRCZi2/qAS/bDke8uf5etVBnPf3edh6JDPwwZqcwhJ8umw/rnt/eQhHRkREVP0xwCOqg4q1aYsRhqzc7cPa+BzXIMYZ1HVvnuCqQgkA47r5BnEA8PXkQXhigm/hjbIEpj2a13NVGm2TFIuIsMCFaryXul33/nJk5wffyN2M3uqhoNiBlfsyfPY/8+Nmjz59ximgEdqaSu+G7zq9eMvxLM+ppWsPnPU7praN4jzuX/zW7xgydYHfxxQUl+DJHzaVawrs2wt3B33sokNFmPzpagDOAHfe1uADQ72B/O6T1tVKD2bk4pyhiI/+pYW/NahERER1AQM8ojpIDzjC7TbcOiQFAEynQOpFVhKjPQO08d3NC66kJMUizO77Z6UsAd4/rurlyoZ1a14PYbay/bnyzuCVVmae+/FfrTxgeoxxqmSGYYqpnsEr9loHqK8VLCh2Zv72a1M5g+Udwuw75Ts11eFQHmsS5287gS9XHMALM7YG/TxfrNiPka8sdN3PLMX01n9vLsRcLah79dcduOPT1T69B63or08vTjNt0R58sHivxzHDX16Icf/6zXVf71nI+I6IiOo6BnhEdZBeZGVct2RXIRWznng9mtfDn8d3xqtX9/LYfkFXd4A3/aZ+GNMlGW9e18ew3zPDF1+GdgvR4XZ8eEt/PDi6PeIiwxAe5BpAb/4CvHnbAmeVjM3ac4IIFs3W+H2z+qBHxc6BL87HpkPn8N6ivT7HGr00y7eq5k/rD2PW5qMBx/GveTsx8MX5OKb1F9Qrp2aVovn8Uz9sxv7Tua5Ay1iN1J8Ve92BXIlD4dAZ5/TRk9me2cO/zdiKj5bsC3i+qbO3m1YYNRbxKdJ6IHpn8PaezMZnWs/DqlJQXIL+f5uHuVt8W3sEY//pHKRMmYmZG31/75sOncOQl+Z7ZDOJiKhuY4BHVAe1axSHTc+NxTXntcJNg1qjb6tEXDegFQB4VOsMswvuSW2HZK/ebMaCK2O7NcEHt/THRb2auba9f3N/j+P13m7+mrt7i46w4/wuyXhkbCcAQLj22IYW2cC2jZxBa1S4DWO09hIA8Ptud7DRtJ7n69Cbqxt94DV2Y3Zt9f4zAcdtzOAVGqZm3vDBCo/jFmw3X9Nn9N5ve7EqPQODX5qP79YcwubD5/DQ1+uRX2Td0F336zbn+fUpmXrrjdwCZyA/7P8W4M35u3wet3D7CVz81hKPaaXFDuU3MFy5LwN3f7bG1YbjmunudXDZBcWu3513O4kPluzzyCg6HApKKY/pwEZrD1i//3qW1PsSu+Tt3/HMT1v8Fof5cd1h/Ge1dUuP7ccyS1191ej4uQKcyi4oVfbUaPNh51rEGRt9W4O8Pn8njpzLx6p03+nDRERUNzHAI6qj9PVfjROi8P29Q5GcEIUf7h2C/z0wDIkxzn1hXp+WkxOc0zjD7Lagp8I9ckFH9GtdH8ueGI0r+zp7AN40qHXAx8VEeFb61INDh0VPuQTt9SREhWOsIcNozNK19qrwGev1HBFhNjSMs55OmmFS4dPbccMaN724ipl/zvPfX0931bRlOHouH4/+Z4NPkGilRAuUAPeURf1XqWc0D53Jw6u/+o7hrs/WYOOhc9h9wr3+rajEgb0nfaeBztEyibd/sgpzthzzyHbqsguKXVNV9aDx5w1HTI9t++QsPPzNep8pqLrL31lqGWi6AzzPR2dpazCt1kECwB+/WY/H/rvRdN83qw5g/L8W4/J3l1o+3sxTP2zCBa8twtFzeTh4xvklgaOMFUj9rS/UA9ffdp3ErE2BM7tERFT7McAjIpc+reqjQWwELuvTHAAQYfcMgH68byg+utWZ4Vry59H47p4hAc/54PkdAABN60W7go0uTRPQW6us+di4TvjyzoE+j4vyauWgf7i12wQzHhjmc3ycNg00IszmClCtjtHlek1LdTiUKxgpK2PlR6s1e2UVbIuHX7e6pwI6lDP7pvfqyy0sxpM/bHLt/2aV5xj1rOOE193VPouKlWlwe/fnawHAskcgAGTnF7vWZRaWKOw/nYMHv1qHP3693vT4Hw0N7M1iee++hrq7Pl8DwNlqxMzU2dtNpzgG8ufvnO+VWYC7+0SWZeD4xYoD2HUiG4NfWuAKzEsCNLzXLdp50mOsDmW9vlB/Oz5dth/3frE2qPMTWTl0JtdvixYiqhkY4BGRj6cndcWMB4ahlVfGq2m9aIzu7Fxf1zwxGv1a1y/zc+ifwwe2aYAh7ZJw/cBWrgwh4DudMzEmHHePbIcv7hhk2iw+NtIZEEaE2TCmSzJuHuzOEjZPjMYjF3TEkxO7eDzG+/N2iVKILONaP50xqNtjEhRUhum/7XX13ssvcqDHc3Nxp1bR8lxeEb5c4R6jHsA4HAp7LapWFpY4/GbAirUs0oC/z8fGQ2c99p3MKnBVEy0ucUBPYnkfpxecAfwXSil2OFzZSV1+UQm2HXUG1lazgL9YsR+zg1i7aOQ9RqODGbkY89pvuO3fq4I+X2Gxw2eaqplbPlqJ+750B2v6yzXP4AU+X1U6npnv8+XAh0v2+bQd2XcqB5tK2cKEKt6w/1uIWz8K/pomouqJAR4R+bDbxDSIKi/986mCcn1Y1T/wv3hZDzyqrbe7vG9zk8cKpkzojE5N4gEA4XbPD7t68/YIuw02m+CPYzq69iXGhOPB8zv4tBfwphRMq4DWNMY2C8bACQDOmBTjKC5xYNpvezD61UWm53vwq3WY/Nka033GwK+wxIHL3vGcyrh0zymPaqJ6QHIq2/2hP2XKTI92Flu0LKiCb8arsNjhk8UzTve0apNQVKJc0zWDdfFbv3vcP5GZj3StYqleoXTJ7lM+6/P+PtN8rd2Z3CIMfHF+qadq6u+DWfDqvbbwXG4RUqbM9AmgFu86iWmL9pTqecsrv6gEA1+cj/u8Mot/nbHVJzAe9Y80XPTWksocHllYyfWcRDVezf8kQ0TV0l8u6op/XdPba6vzE6pSMAR47g+orm1BfADW2yb8eN9QvHhZD9i1+2Fa4NcgNgJ/Ht/ZdVu39pkL/J63FHVgSq1Vgxi/+7+ePCjoc13VrwWmXt4j4HHBFGR5/L8bkbb9pOX+ZXut2xuczvYMbrwDjjO5RYYpmg4UFpv/bo0Fb/T1f+tN+gEWlSgUe2WtjIHb0XP5+G7NIdPnKE0FUTMDXpyP1H+kucah8546+/5i68qgp3MKkWFRsGXPyWzTqq/6y9WfMqegGC/N3ob8ohKf93v7MWdw/PYCz56FN324ElNnb7cclz+7jmdhzf7Sf+jP1abu+rt+aqOJry9G/7/Nq+phlJp3ZrymyikoxuvzdgWVLSeqrRjgEVFI3Da0DS7t45mJ65jszKA1rx+N9tptvU0DAAxq2wAAcPV5LQOeX+/F17lJPK4f2ArHMp2l+PWKg4C7SEyn5HjXNn89+To3iTdd96W7a0Rbn/V9evuBv13aPeCYD2TkYumU0Zj3yEjXtg6Nne/D6M6NMahtw4Dn0P15Qme/0yZ1+tRFf75fd9ij6X0gfxzTwXV7/UH/lUW/WnnAFbAVlTg8Kosa7TGZHvrJsv3YfNhz2p53Bq+oxOGTmXv0PxtMn6O0GTwr6adyPILMYIJoI+9+gkopbDlyDue/ugi3fLTS53j9S5D/bTgCpRTeXLAb7y3ai/+sPuiaHqsLVIzouZ+34KppgQvGvDF/FyZq6zAv+OdvuOLdZYFfmBezD9jBFCqq6bYezcQpr5Yg1c3V05bh4W/We2wrYw2gauefv+7EP+ftxA/rDlf1UIiqDAM8Iqo0tw5JwXf3DMaoTo3x7IVd8fFt56FbM/dU0Bb1Y5A+dRKGtEsKeK7/u6Infp8y2lWM5ZbBKT7HjO2WjOsGtMKDhoDE2/Inznfd/vLOQagX7Q7gpt3YDw+Mbu+6f+Og1nhmUlePx+sf7nu1SAw4ZgBolhiN9o3j0KK+sx3FZSbTUYORGB2Owe0CB4SvmVTKNGMVeJlpYmib4S9bpdMrmRaXKMvKolbrFY3N2gFg3L9+w8tz3JmoDk/NxvIgM0RZ+cXIKSjG2dxC/H3mVqw/eBb/22As6hLcJ9xb/r3So3m9v16LVuMw+m7tYUx6wzk9cY2hFceJzHx8vnw/th3Ncm0rKHa4goeIMJtPtlsvMmNRiwYfL03HqnTfoHzyp6vxwv/cU0tf+3Unth7NxIC/uzNRVhmRdQfO4PDZPJ/t3sEnAFz9XukDxdL4bFk6Zoeomug3qw6Uq11GdbIyPcMnAPLOjNdEq9Iz8IHWW7M0f9OIahsGeERUaUQE/Vo7s3RR4Xakdmoc4BHWIsJsHj372jX2XV/XumEsXrq8h6uFgpk4QwaxQWwE6sdGuNbzdUiOc60LBJzTP60+NHgXpNFd0ruZ6XZ9OqpeTVTvQxiML+4YiDC7De0bx+Nhw1rD8li5L/gpeJHh7v91rAmiN6DurYW7LT/gHzvnGyAAvlM+AWeFSqNgpx4ey8xHt7/8gj9+sx7vL96HS9/+HQ98tc61v6DYAYdD4auVB/xWEswpKPEIXnYdz3IFh8EEid4B3s7jWabH3fnZGjz942Z89Ls7iM4uKHZlAOtFh/sEUfp1VdrpdnO3Hvd4Ht0JQ9uP3SZZ1nN5RbjsnaX4g0mxGbPfnbH9hpnSjvt/G4549DB85qctuCcE1UR3Hs/Cn7/b5JP1quk+W5buuu2vV2R1dOB0Lj5a4nnNXjUttF8gENUUDPCIqFaIjQgLfJCXuQ+PQIxXOwYAaJrozFB5f9YMs9mQX2TeEiDBECjqU1EBICrM9/yAe61fckIU0qdOwgVdk4Med5uk2KCPLYtvAqwFtHpN5WE1dW/vqbJVIv1uzSEMfNF8HdRGi2qNr/yyAx8vTccT32/Cu2n+C5IYM5FTvt+Etk/OQkZOoWUbB6MHvlqLI4aMl1XV0BNe2UvAub5IX/MXGW63/FBeUOSo8GmCC7Z7Fm7JKSh2Zf3MCuIEM4XYW2mzLg98tc6yh2FFKtAy9SdN3tPdJ8wD9JrgmZ+2uG6bZVyrsxs+XI4XZmzFOZPCUQAglh01iWo/BnhEVCtER5Q+6OiYHA+bTTChexNMu7Gva/v/XdETfVsl+hRFCbcLCrQP9qmdGnn07xMRV4uFT/4wAG9c1wcAcF6bBhjYxpm1nDyirev4h7Rpo8bpjgCw+PFRGNPFM9i7J7Ud+rZKdN1vZshcNq3nfPyNg1oFtQ4wkIt7NcPAAGsBYyJLH0wHMm/bCdPtZS0M8uh/NuB4pnmAYzXN7sMl+/DCDGfAcsbPVLxihwN5XoG+UsCLs7YFNc3tTG4Rhkxd4Fp3aFX50yx4yy4odvU0dDiUz1o7fRrljuNZ6P+3eWUqnKEXavFWYFhruHTPKQx8cT6+W+ssaNPeJINeloyQ1XrGL1bsDzgV17tibKgVFJfgp/WHMea13zBn87HAD6gGzuUVWRaxKm11V9Pza1VcjZlBM/lFJeWeSpuZ5/x3YPblgpn1B89W+jVCVFUY4BFRrRBTigDvyzsH4teHR7juv3tjP4zv3tR1/7yUBvj+3qE+hUfC7O4MXs8WiRjSLgkdk+NcLRt+un8o7hzeBk0SonBxr2ZY+KdUXNG3OT6/YyC2vjDOow/fZX1aIH3qJMR6BUstG8RgQBvP/oIjOjTCXSPbAYBHoAcAV/ZrgWk39sMLF3fHpB5NUVrjuzXxuP/ylT0BAL9PGY1bDL0EjWK199q4XrEmCeZz7Jkc64qbEXabaUXOApMWDv78nxa8WlVuNSsKk1NQ4pqiWexQHu0l9G1GL8zYil+3Hg96TAAw/l+LTbfrGbknvt+E699f4bH2UK+Oml9Ugs+W74fDocqUEbLKkD/1w2ZcO325xzbvabRnDZmcighWjMyCiE5Pz8FDX68HAOw4FjiLl34qx6OBfWXLyClEr+fn4o0Fu0z3l/b39d81h5AyZSZ6vzDXtU1fi+k9jdrb/83Zjnu+WBv0+lkz+vciwQx7/+kcXPr27x7rTEPp0W83YPpvzlkAj/1nA5Ydqfzm8Qu2Hw/ZelSq/hjgEVGtEF6K/nVD2iWhg6GyZrDCbOLK3OjVM2c/NAJbXxgPAOjcJAFPTeoK0T55tEmKhYgg3G5DTCmmkOpBQtemCQCc2RE9gPWOH2w2wfjuTWCzSakqYVrRi9Y0T4zG5X1bAHBW+DTSs6XGCqhmWjaI9ru/OvOXievbqj4W7fRtKzFv63FsORx8s269gIxVBs87Swg4p0Xqff9+Wn8YR855TuP0nhb579/TMXX2Np/z7DmZjfu/XFuqjIYeAHy10vfDu/5+vbNwN575cTP+t/GIRyGaYOUVusczbdEepEyZ6ZEJzC4oxoks52vONRy79UimR7uKonIUDClt0RzAepqt0dh//ebRwF73z1934ukfNwFw/n5TpsxEypSZ5QpSV+7LwMdeayr1KbtWQWYwGdeiEocrA/4nrVqtR2Ct9J6NgoMZuZavQZ+iXJaiNflFJcgrLHFNwAwma65fG1bTsz9dlo6tRwJXHA7Wd2sP4cVZ2zFn8zH8Z80hvLex8quq/uHj1SFZj0o1AwM8IqpVUiyKnVSEMJvg5sEp6NI0AVf2cwY/dpuUKrgMhv4hfUzXZKRPnYRG8ZGuwi/+PvRZBXj6FNHS6tUyEYsfH4U/DG3jsV1f7xjoA3xZ1kVWF/5eW35xiU//P8AZkF3/wQoA8CgAZOXw2XzkFZZ4fEAOZGV6hiuzN2uT77RAY4DkGq/JtMc//3cjZmw8atpr0IpVBVTAfc1mFzif/+i5fI8P3tdOX+bRkN6KMajVp+caA64L31iMAX+f7zzW8Fonf7YaOYbjzuQU4aGv1yGr0Pl7fOTb9a7Aaf6245ZFdBbuOIHuf/nFsuhQedZ1Wb1/r8/fhc+XH8DGQ2exzvD7yC/HdMKr31uG5/631SPg1wM4qy8UvDN4szcd9ekpec/na9H7hV9NH+9wKDzxvTNQTT+dg+EvL8R7v+01PVZv51GWQpe9X5iLLs/OcY87iC8S9NdsFcQ++9MWTHzDPHNdHnd/vqbCz0kUDAZ4RFRrzH90JH66b1jIzm+3CZonRmP2Q8PROD4q8APKSP9QFmF3fxDTgzer/maAMwBNaRiDu0a61/rFR4Xhkz8MMD0+KS4y4PqVlg1ifKZi6tnEohIHnp7UBRf2NJ8aWpYpnN7Zwqrib7paXmGJ3yqbgGelUSunsgvQ5dk5+Gz5/qDHFaj4y7OGohm6OJM1k652Cg7lk+mx4q9oSpE2RVO/NrLziz3aOyzfm4Fnftzs8ZjcwmK8MX+XR+BjlrU0TodNP51reqyIZ0bv02Xp+Gn9EczY4wzEv1/rbglw+yer8bhFYZbfd50C4Nvf0fjPLqeg2LLyaXlM/tQzGChNf8WTWQVImTLTFZDp037TDUWK9N+fVbbR+8uje75Y69NTUm95Yra2M/10DjZpGexATe5dAVcZ1ojq74s+U8IqwDO+Tv35zP5+zth4xGdbeVhNMw6Fz5fvxxLtmrWSkVNoWYimtLLyi0yLP9UEp7ILsP7g2aoeRqVhgEdEtUa7RnGoF1Px68LGdXMWPZFg5mFVAH2KpjEz6P6AYv04EUHaY6Nws9YTsHliNDY9N8417dLbbUNTghpPUry7Ofzsh4YjUjtfVLgddwxvi7u19YHeyhLg+WtEX5m2HLGeaplf7DDNlBlZVRod1alRucYVyDGTD187TIKRMC0C+MfcHXjOsC7pYEauz7G6L1YcQMqUmab7VqZnoPMzs/HWwt0AgNM5hXjyh00ex3hXSn15zg689utO/LLFnYnMN3lfzdZDvvLLdo/fgcMBjwyeHsz8sr/YJwsFAMv3njbNhpco8yyXMRD5w8erMPafv/k8FrDuFWhklYW328TjC5fSTJ/VAyk9IGsYFwnA+TqX7DqFjYfOuoIuq79jxi81AmVbvTNhf/7vRizc4Ttt2SbO34X3mlU9g+dwKJzOLjD9HQVSmimaNu1PqVk8ef+X63w3lkNFBv8Oh0LKlJn4ZGm66f6nf9yMGz9cgY5PzbY8R9+//opehnWS5THun79hwIvzK+RcwVi44wTOWFRYLq1JbyzGpW//XiHnqgkY4BERBfDmdX2x9pkLKu35Lu7l7J1nbJ2gB2kNYgMHTU0TonDz4NZ4/+b+rm1X929R5vE0jI103e7SNAH1osPx5MTO+PwOZxVRq2lPrQNMlx3W3rOh/YJHR2JMl+qRwTtlMgUTAIZ3SMLmw+d81r55i7LI4F1zXstyj60i6AHMWq8pmsNfXljmcxozTmZ9DcO8qsl8rH1oNWYYzTJ4Zk3U3164x+PYwhIHcgqNAZ77mpy92XfN2ansQrw+37fYiH4te4/VmCVa4adnZIEhG2lVwfSBr9fhuunLfaZsini+h2P/+Rv+8tNm74ebMj5XcYnDNf5nftqCGz9cgYvf+h2r053j9i7qowelJYZA6SZtqjFgHpB6Z7i/WX0Qf53hW8DEJoIHvlyHHs/NxZGzea6+mfr1t/7gWYz6Rxoe/c8G7DXpsxiM0hSH2XE8Cy/8b2vQ1WUPZuTiWIB/694ufqviggh9mu5fft6CV+fusDwumPYiZe1zeDAj1/V+mf3dm7HxCNo/OavCM5fZBcW47d+r0Oevv5a6UJQZq6rKtVXIAjwR+UhEToiI6V8ncXpDRHaLyEYR6Wt2HBFRVYsIs1VqZql783pInzoJbRu5S8+3bxyHv13aHa9f2yfg4202wQuXdEfXZgmubS9d3hNbXxiHlU+eb1od87mLumLplNGm59OnhxrXlU0e0c7Vj8/qw8WjYzvh1iEppvu2vjAOn90+AMM7uIO8to3iML57U2x5fpzpY262qOpp5dYhKfjh3iGm+/Q1lMGcw6hdo7igPihFWmTwwmyV873qkxM7h/w5/BXZMcvmmG0DPK8fswDPah2T8dis/CJsOOjOuhqnk9aLNv+3azY1Tw8W7Fr2/Kf1h3HDB8s9soNm9Jjp5w3uc1pdJzM3HsWyvadxx6erPYIHu008nicrvxifLHNP391/OsdyHMaph4UlDleGzGjfKWd21juBN32xc52cMVDaYChGci6vCNuOZnpkJ4PtcWgTYI6WoR39ahqueHeptt05iI+XprvafmTkFCL9VA5Spsw0LWLkTX8d+lhenOVbTEhn/F189Ps+V4sF79fx8pzteMTQzH74ywsx6KX5uDoEDdTP5ha61oVarc80Tjt+c8HuoNaxWtl9wh1A/777FA6cts7W5xeV4N4v1uCz5fsx/OWFput9dS/P2YFih3IVjfLn6Lk8vDp3R1ABtvF6u/PT1QGPL409J7OxbE/ZK7jWBKH8P83HAMb72T8BQAftZzKAd0M4FiKiGu/GQa2RFBcZ+EATdpsgJiIMjROiXK0ZlFK4tHdzAMCozo09+ut5W/7E+Zj/6EjTffVj3B+gVz01xnU7KtyOe1Pd0zeNQUdMRBhEBJ/dPhAPj+mId25wf8fn2zrCOa7bh7mLvTx0fgd8eEt/+DOuWxP0aVXfdJ+/giFG3oF9o/jg3n+rDF6YXfDrwyPw1vWBA/XrBpQ92xeoausRk6xYaV0/sFW5zwE4gyhdXmEJZm48io5PW0850xmnc+YXOVwZQcAz42b1BcShM3n41Ktfm/6+2LXo4aGv1+P33adx8Ix5cKR79dedyC4odhUZAQJnln7beRKDXnJPd7OLeGQhdRsPncWB07kY+Uoa7vjE/UH3ZFYBPluWjqISB44aAsWCIodPBhKAq2eh9/TTw2ecr/lghvk1sSo9AxNeX4xXfnFnkIxrGv1zP5cxO2lWlyozv8hV3GbGhmDWxTnPfTAjF3M2H8N0i4IugG+wrQdKm72q3r6Ttgffr/N9bSvTM/DkD5t8phmXhzEzbawAa+Q9Fbznc/6nWiqlLNfIbTvqrhJ6wwcrMOIV62z98r2nMWvTMde62WCCt2D88ev1eHPBbtdaTX/KsDwTgPN6eHHWNr/Tpc9/dRGue3+55f7aIGQlzpRSv4lIip9DLgHwqXKG8ctFJFFEmiql2LSDiCiE9IxcmN2GCT2aIn3qpICPaVLPuqiMscl1uN3zw6Oxsuekns3w4qztPlPE9KbvZqbd2A+5hcV45NsNHoVt2jeOw/leDeG9RfvpjTi8QxJ+3nAEr13dC498u8HyOO8P6ckJvu/Dz/cPxfdrD+PI2TysPXAGp7ILLdc9httt6JAcj7AgKq+2b1z6Vh66QH0h9xqKb5RVQlTFrHc1Zgcesyh+YkYPuswYMzO/WDQhLyh24NmftmBSj6auNWtpWpbRO0AK5gNu97/84nH/0Jk8TP50NV65qif6tQ5cyVYB+MyQsdMZp/wZi5bc/+VarNiXgR/XH3FNfdRfl7/rS+AMVPUP0F+sOOC3b51+rRif+y8/+xbzMWPW41EpZZphXLj9JDo2cV7zEWE2HDidi/u+XIt/33ae6Rdbepx69+fmrQCMWU3vAO9cXhFaApYVbFenZ3jMgACAL1ccQFGxA69c1cv0MQBw04crLPcBztd+MqsAaw+c8cgsWxW7yg2w1tcou6AYXyzfj5dmb/eYuRARZkNhsaNUUyi9vwRoGBd4BkswAZk+hdmqX+iB07nYn5GDjJxCDG7XMPAJTfzfnO2YsfEoBrVtgNGdnf+PMJvmXdtVZQ3r5gAOGu4f0rb5BHgiMhnOLB+Sk5ORlpZWGeMrlezs7Go5Lqp7eC1SIF2gMD4lHG2LDyAt7WDgBwRB4PyAumzp77igdRh+3V+MtLQ05Be7/0e+crlzmlNMGIK+RqNObUcUgI/Hx2LFUncZ8907tiLtzE6/j920fi3O7nF/0L2sfTh+2O38QJeUtRtvjo6BOuVch9U9yY7bu0fg4TTPDwK796bjob6ReH2tc/1G8THf58zYvR6pCQASgKMnSnAqGzh+wnyK2eaNG1B0yI7swiCmKJ2wzkgEsnWb53S12HDAT+/2oI8xOnoguOqbofLiLGcbhbb1bNh7zvnBsX6k4EyBwsGj7qAu0Pqk299biEPZDvRq5A6KP1ywGTlH3L/rtxc6q5dmZQZfQGPMa4sAANNnrcJ1XQJnfvefzoFDAY1jBCdyra+PF7+ch8FN7dh/wnmtGoM7ALh9+kLsPm39mjdY9IKzsnG787WfyCh9n7jTp30rPN43/VdsOe0bbKzddRDFZ50fS08cO4IpXxzBpiPFeOuH35Da0vfLhKJC/9m07Tt2Ii3PeY3uOuP5fBe+uQR/GRyF03nm7/OV05ahf7LvlyS7Dx5FWtoZk0c4Ld5l/cVJWloaFhwowqdbneM2drVZvGQpGkbbUOJQEHEHWHvO+r5PCxYuxPe7inBBa8/3ZPiLc3GmQOtVOW+Va7tDW1u5ZfsOpOV6/k1557v56NzAhsm/5uL6zhEY3cp5zq1ev5+Nm7fi0W/Xe7wWXV6e8zpcunwF0uP8f3GVnaVds2vXImuf7/t76xz3+3djF8+gMtj/ZxRnOt/fGb9vgO2Y8xz3znOfd+FCd+ayNn9WqsoAz2yig+m/NKXUdADTAaB///4qNTU1hMMqm7S0NFTHcVHdw2uRgjFuTOBjSiPs11koKlFIHTECE8bYXddhYbEDmOecbjd+9Eg8nDYHf57UHamD/K+n+65NBs7mFiHVO0s3x1nF8fwh/dGzRaLrvtHLV/TE499txBXjRjinKmrHvHb7BfjhiVkAgFGjRrmO79o7Cy0bxCAyzI6H0zzPl9K6FR4e3xmvr3Vuv2zcSExZ7OzB9dD5HRATYUeqoYro3DObsOnUAUh0AgDfD4L9+/VFv9b1nRmFBbMsX3/61EnO6WMrl/jss4n/aqoA0LZ9J2CTe7pg0/pxHmtwzGx4bgLa+6nG561zp47AtuCKgBgN75CExQFKu5dGfEICcO4sACCpXizOnMhGdEID4FjgdVwAsP6k88Ps/APu6ZE7zjjw/DLfrF1cfDyQWboA6YwtAfPPxgPwnzXVf6d3j+6CF0wKluimbyzA1WNGImr1KiDHN4u5xU9wVxb2hEYAjqBQwgGUborimuO+AcqsfebfIsQlJKJ1m8bA9u1o3ryFa8rt6IG9MaKjofqs9u85PCICKLAunNG2XXukaj08o/eeBlZ4TslbnllPu2VewGO1ydgjYushNXWw5XOa/T3Spaam4ruv1gFwTj81zhLvd95ApCTFImXKTAxq2wBfT3Y+x9JZ2wB4BmW2Zt0w45dVUHFJANy/fz24A4Bvd7rfY5vNBjgcaNO2PVKHtXGuf5vj/Nvz8qp8/Oua3ih2rMc3O4vxws3OYmIRe04Bq9zZyHYdOqF4s/vvyYgRI1GiFEa+vBAntSBZGrdH89b10SHZeubBO9uXAWcz0LNXbwxqa5KhM7x/iU1aAdt2e7x/APBO2m68PGeH5cyT3fa9mJO+DZH1myA1tScAINdw3hEjU4FfZrnOOWPjEeQUFOOa8ypmynl1UZUB3iEAxgUGLaBf9UREVKNM6N4UP284gjCvKZrGKZvREfagpoMCCDilrWk957q83i0TfXobXX1eS1xtqFb50uU98PHv6RARTL+pn8eUUsBzKuRb1/dxlU1PiovE3YY1hAAQYZj69vAFHX3G9cgFHXE2txCD2yX5ZFYA99Q/sylq3qzW8S16bFTAapcjOzVCSkNnD8MNh86hab2ogAFeMNNGjTp4vY/BevXqXq5m5RXBWLBBf1+zy1GMwh+zIjCBrNyXYdk43UyPFvUCHvPligMePQFDSV+XmGmxTqyilDgU5moFWT439Ia0+i7jZJb/qojGaZlm/fZ+2VL6yowr9mXgRGY+Ghumaq8/eBbtG8eZ9pv0Fmsxddo4pXj5Xve1Yrau8LRW4be01T315/Cedr5Pm4Kr/9vZdOiczxRK72I0RQ4HcgtKPKpquprcW/yN33cqBwXaefaezMGyPacRE2FHo/hIXN7Xt+iV1RrWl+c414I6HMrVz9OMVdVM7+m6+t97swAv/VQO9pzMDrgcoDqqyjYJPwO4WaumOQjAOa6/IyKqmf5xVS+sePJ8j959gLPn1mPjOmHmgxXTgF4vtNJQK37yzV2DsNmi6qbuugGt8MvDIwAAY7s18ahO6u3Cns3QtpGzOujLV/ZwrTNb/PgozHhgWMBeiElxkXjnhn44l2ue6TAGwAPbNPBpSm/UvnE8RhoyFxf2bIpVT41B44TA0/2a1YtC2mOj0E57rWZrB8vjrpFtMdDwDXzH5OCDvdiIMNMeif6KyvRoXs/yA7RxrZX+QdS7/UNFCRQkl1d8ZBh6tqiHx8Z18nvcR0E2p/dndOfgWpLoRVhK046gLFbvP+P6vRmf65aPVuKbVQfQ8anZuHZ68NUstx3NwjM/bsZ7i/YgiFZ5QXv8O/c60dzCYlz69u944EvzdYBGy/eexterzKfEz9p0DJuCnDqr97o0+wLJjLtfoPM99S4wpa+Ls4ngYEYuLnprCZ71as/h3ZOxuEShKIg39VxuEQ6czkVhsQOj/pGGDdqXcU/+sAmvz9+Fl2Zvt1wDHainpNXUa/117juVgx3HfKdUbzx0NuC4dan/SMPtn1RsBc/KEso2CV8BWAagk4gcEpHbReRuEblbO2QWnHnn3QDeB3BvqMZCREShFRFmswwi7hvVHt2aBc5KBOPpSV2w6+8TXN/cRobZg/rmvDT0D0DGSpQtG8Sge/PgX0Nfi+qdxgD4m7sG44kJXVz39TYVetVQAJjUoykAZ1uHt67vi0bxka4Kj0bNvIrg6IFokfZhp3GQ1T8D0YPQy/o0d90f360JbhgYfAuL6HA75j48At/d49nC4sXLeuDS3s08tvXQ3vOEaPOg8IHR7WH8nGcsbtPJz1Sx6uqKfi1Cck2badXAf59K3bEABWbuTW2Hq4JsO1JWf/5uEwpLHB7ZrUC+W3sIn2lFRwpLKq5Hm15J85r3lrkybMGsa7x2unXVxn/O24mL3vKdjt2rZaLPNmM102DooXJhsQNXT1uGx/7rGVDpwZvdJjitvbb9XtnhnALP96+oxGFZKMVo2P8twIhXFpYp8x3oCwWrAK/EEOCN+9dvyPWqTHtlCFpeVEchC/CUUtcppZoqpcKVUi2UUh8qpaYppaZp+5VS6j6lVDulVA+lVM0MkYmIqNKIiE+WsKLp32jHBmg14M+Q9km4sGdTn+3+pmbGR4UjfeokLH58tM/xxmlFxnM8PakLtr4wDoseH4UXL+vhc84krfqd2RS10rgntR2uPa8lvrtnCO4Y1gYdtWmtm54bh2k39TP9ADekXUP00qYbJsa4gzObTZCcEIV+ret7tNUQEZ/qo3rGNj4yHL1a+gbYj1zQ0WOKZoPYCNw4yDnVqk+rxDK+WrfBZuuEDC7u1czvfv0D+tD2wVUEHNnJmbEN9TUOBNccOxgJ0eEID6vKCWGBWbWACIZ3L8zIMBuKSxxYsS8D/5rnLNJk1paiPH5afxgOhwrYfzEY+t+OYocDK9MzfHra6X/v7Dax7G/oPY6iEoUii1YzxzPzsXS3c41tlva4QBU8953KwcyNnpP4Al2fVq1uHN4tMfLK/x7WRNX7XyQREVEpLPxTarnP4crgRfpvNRDIxB6+AV5p6VM6jR+8jNNERZz9DcPtNlw/sBV+uHcI/ne/ezrshO7OMZgFKn8c0wGvXW1e8n1C9yaINgRbHRrHYeoVPdExOR5PX9jVZ+2L/iFyfLcmWP/sBfjuniF498Z+ruzBJ7cNQGyE3Wcqp/e0VGNg07lJPEZ1boy+rRLx2PhOaGmScRIRj/LsF/Vq5srcBZhNCwBoUd+69yNgXR5eP3fPFvU8glTAGdjqJg93TsG1B9ngXl/XmBAd+gxeQVHFBHg3D26N8AoOcCrarhP+q5/6W0/qvWYrMszuk9EKt9tc0w8rwkNfr8cLM7ZWyJRgffxWGbcvtRYZGTmF2GPxfN79GQ+eycXO4+bv6Q0frMD1H6zwmGK5dI//okqjX03DfV7TXANO0dT+Tr+9cDdWGFp4eGf+zHpL6oxfDg2dusAyEA00luqIAR4REdUabZJiy30OfcpSeTJ4gDPA2/viRI9AqbSJND3gsfpm3ftzdZ9W9T2KdAxo0wBbXxjnsZZvyZ9H4fcpo/HHMR1NixsAwNTLe5YqQL1lSApuHtwar17dC4kxEejXuj7qRYe71seJAOv/MhYzHxzu8bhILfMzsUcTj9cLAM0So1EvOhzf3zsU7RrFIVwLkv7o1TdRz07Ofmg4rurXwiP4fHaw/7WHzROdAZ53Q3udVWP7hrHO7XabePR6BDwzh3qRIXuQ8Y8+NXNC96autaAVaXDbhmir/RvJLy7/tMUh7Rq6vmCozj5fbt3nD4DfNY/e2asSh0K2V9AQZhdc8vbvqEh6FdGKYvU3xOjNBbtNt3+10nPt4OXvLMXkz9aYHpuuFW05aijA8vA31r1GAfO/i9+uPuT3MfrreeWXHbjGMP3V4XUyf1lQYzB4+GweTmUX4HR2gUfgB7j7Y9Yk1ftfJBERUSVzTdEsZwYPcE5H9AwSfD/JfH77QDw5sbPp48NMpmh6nD+INFVMRBhEBNcPbIV/33YeWtSPcQU2VsLs4jHtLNDTxEWG4YVLuiPWa+2Y/jnJpk2tNSvCs/7ZC/D6tX0AAOFh7id61auhtP7Bzfs1P3i+M+Br1SDGpwhOXLj/gTfT3oem9cwDwY7J8bhhoG91Pb3Ij90mHpVVASDC7r5uWjd0BlP9U9xVYcd2TUayRaEcPVi02wR3DGtrekx5fDV5EP48wXmtFZhkK5Y/cb7Hfe8Mqzf9d+JdgfXN6/rgugE1p+y899Rgo2xDgBBhtyGvqMQnaDiTU7r2EVXh37+nBzymIhqC61+WHDwT2iqvVlM0vf9WZuVbB3jex6afykW/v83DlO82eWy/49Oat4qMAR4REdV4/VrXD6r1QDD0oCSmnBk83ePjndmBi3s1Q5sk36lgwzokYfKIdj7bAWMGz6IhcymKW7x4WQ+M6hRc5cQwu3gEId3LWCQnmMKLiTERrtepB5V3j2yH+l5ZNT0Ya+YVnF7cqxnSp05yBZd6FiwhOtyjmfSDo9t7PO79m/ujozad02qcrRvE4PmLu+GuEe5ga+GfUl2BqE18M3hxWlAUEWZDpybxmP/oSNxj6JUYHmazDMyNwaJ3JqKserWoh/ox4ejSNAEA0ExrMZLS0DdD2KRelEdAG2NR1t9bhFeK8qJezVxZ2Zog0s8awr6t3QWTOjaJQ35RiU/QkOkniCiPTsnxHus3vdcDVkd6gHeoHOsezaxOz/Co5llY4sDbC90ZRz1Y8w7a7rbINAK+0znTTzuzj9+sPhhw3WB1V5V98IiIiCqEd0XG8p1rMOZuOW4ZMC7586hSlV2/sGczXNjTfzEOKynadLrhHZI8tv/t0u7o3TLRJ2NWUcJtNtw/ugOa14/GJb2b+81w+KMssm5W8rV1YQ1ifStmXj+gFZLiIjGuWzIGtmmATItedxf2bIbjmfm4aVAKfk1zF5S4d1R7vLFgN3q1qId3b+yHZonRrg/2u0zWE908uDX6tq6PMLsNT0zsgvcX74VDOYMevZJpmE08rpM/je2IiT2a4K8ztrp6nrXzassRYbcO8IyZMO/wrkfzeth02LpaY/vG5s3se7VMxE+GdZk9WtTDV3cOQr/W9fHBEt92C3mF7g+2zuvLut+cHoPq444Ot+NVbV1nZFj5M+Ch8MkfBuCWj1Z6bPN3fU8e3hZTZ28H4Pzy4Oi5/HIXPxnVqREWBjHt78p+LbDMsL6sS9PqXxlWL6hkbCdREa6ctgyXa9V7ASC3sMSjomhWfhESYyJQ4lCIDLPh4l7N8J81h1yFXsx4F4ox/pvr/MycCht7VWAGj4iIyKBf6wZ4YmIXy/0t6segVcPgSsyXV5ukWKx+eoyrmqTuxkGtS9W2obRs2tqya85rVebgDjBMqwzy08Y5rZm2WUsEm00wvnsTiAhaNoixbL1htwkmj2iH6Ag7jL3io8LtmPfICHxz12BXFrCntl7RrCT7C5d093jtF3R1NjuOibC7poIa1/sNadcQ94/ugHitd6L3FMXOTZwfzsPtEtT74b0O6O3r+3rc79YswVUxVB+XmUZxvtNBB7driIgwG1Y+eb7PvkfHdcLlfZrj5St64plJXQMPFO5M86V9mrnWbkaFl+8jptX6x2B9decg0+3GZuN3jWiLL+8YiEg/YzX+juMiw5FTUOIxbbMsgmkxAACtGsZ4vI+N46MsG4lXF6VpZVFa36877LrtXeRF/9tRohQi7DY8MrZjwPP9c95Oj/tZFl8a1UQM8IiIiKqxpLjIgA3WK0pCgDVXpdVWm5IabMEafwFeWXgXN2nfON4jaEuMidC2B27U/vq1fTDjgWGIjwp3Ze30TN6GZ8fikz8MAODM8mx6biz+NNazcMeNg5y9AsPsNo9ehm9e18f0+S7v2wITurunOXoHTMUlyiMz7D3N8K+XdgcADPXK/ho1Nuld2TwxGq9d0xtXn9fS9SVCrEXwqGdr9BgoOtz9e06Mdr633ZsnWD4/ADRJiMJNg3z7KM58cJjPtjVPj8G+lyZanksPogHrSqTGLOnDF3TEkPZJiDJkG/31B4yPCsOp7ALc+4W74uPzF3ezPN6K2fqxKRN81+EmJ0R59ET0rl4LlK3fYyX9OQmpp37wbMZ+9Fw+ft5wBCUOBbtdgprd8Omy/R739b8/tQEDPCIiojrs8j7NcdvQFADArIeG46Nb+1fYuf9xdS/8+7bzTFscmNE/YCVUUIAXTHu21U+PwQ/3Bp7iGxVudwU8eoCmB3r1YsI9CsjER4X7fBjXM3JRYXZXlu/LOwfiIoteenGRYXj3xn6u+95THoscDo+pnsapojcMbIWbBrXGhmfHom+r+gjG3hd9A6dG8ZHY8JexWGloBdHMUJAmScsO6hktY1DVqmEM3rq+D16+ohf+fet5ls+roEz7NIZ7pTkv7NkUDQN82aEX6wGAhCjzayjcLjgvxfme6MG+MYPnb92h2b4bTYLTQPQ1nO/e4M7Kmq0DjI2we/6OTV67Pm3zlsHm4zDLhOrrMCvCrAeHo3UlzWjw5+U52/HgV+swe/Mx2EUQU4aZB+8t2huCkVUNBnhERER12GvX9MZfLnJmIVrUj8HozskVdu64yLCgC7sAzgqTANC+UeCMWjCCWfuXFBeJ+KhwfHnnwKD7KOqxh1lGxcpV/VvipkGt8dCYDq4MZbBT9QD4TCMs9nqs8bX+XWt6Xy8m+EDZ6rXUiw73yIZ8dsdA1+3ztOqgZ3OdgXmiV2B+Yc9m6NosAV2bWWfxRndO9pmO+tdLusHulX59y2uKKgD8fP9QjwI4nbQMXoTdZpnBCbfb8O/bBnj8ro0ZPGOg/M9rPCu5mgV43mt1jW1R2lq0bfnHVb3wwOj2GNfNnaE1e/ejI+wea031p9IDVACI0V6nVeD77V2DfbY1N+n/qAeYj15gPrXx/lHtTbdHhAl6t0z02Faa4k8V5Ximc63oyawC2Gzikal96PwOVg+rtRjgERERUbVw+7A22PL8ONOpg2XVJikWT0+yXlOpG9IuydVHcYChrYEZ7ymawYgKt+Ovl3ZHvehwV4AXzJSw/949GM9f3M0nw+PdfLmiqsgGYhzHpVrRi7Pa69CnvHoLsxjbsidG44VLuvlUPrxpcIrHe7vthfGmj+/WrJ5PBm3ajX0x9+ERqBcdjpSGMT5tLsLtNsRFhnn0zDQGz3qj+vHdmuCSXs09HhvMetRLejurum54dizuNASfRk3rRePRsZ0CfkEQExGGoe3dU2z14z/9gzvI1qfPel+Kg9s2xLxHRpr2Bq2vBf7Gab96IaeOTeKxdMporHzKc33m+O7mVVHDbDZMvbynxzazaav6FOZQOZ7p7rvnfb2lJFV9hrGyMcAjIiKiakEkuLUzpbHwT6m4Y3jwPeVWPTUGn97u/8OozTVFs2xjGqd9WG5j0qrAW/+UBrhlSApEBO/c0NdVMbbIoTyyRfqY+rcObkqm7pELOuL9m4OflhumpS+7GbJyQ7WgqEcL88I34YagcPZD7mb3TetFI9xu88lGAp4Ba7TFtEm7TXx6GI7v3hQpSbGw2wRpj43CZX08gzSzYNM4/fXP4ztj3iMjMO2mfj4BmHdG2KyQi15ev15MOK7p3xJvXW++xtKbnoG72TDVMjrcjusHtHKts9PfE+P7of97Ea8c4Bd3DHStLfWeghwVbsf7N/fH7IdGYOWT52Phn1Jd2eSIMBuaJUajcXwUvjBka62mvMZE2hEdYfdYK2j2b3hkx0ZY/fQYj22X9Pacnmz8IqZBbASMb7/x9+ZdVRjwLJTk/XuK9hOY35PaDoG+GxnU1v8XPtURAzwiIiIiTaP4yICZGj2oOHYu3+9xVi7u1Qzrn73AMiCyMrFHU3RMdn5oH9imAXq0qIfnLuqK9o3j8MTEztjxt/H4erJ59UgrD57fwVUhNBhhdsGqp8bgP3e7p/5dc15LbHxurE9LCJ1xPZ3ej8/oZLa7FYP+YTvYjKQ+FW9gG/MP4d59CsNNonJnY/k2+O/dgxFmt6F9Y8/CJQ1izTOTg9s19NlWYCigYrNJwBYpl/dtjntS3X0SjbNVo8JtEBF8dNt5uGNYG9P1lHrw4p3BMwanfVrVx7hu7t9xZJgNF3RNRpukWDROiEKbpFgUaRlhYy9GY/YwJjL4Kq0AcJXJNM0kw7Ef33Yezu/iHFPrhjHY8vw4XH1eS9f+tc9c4DEt9GLDWlXj+2XG+9op8dPWZlj7JCx4NNVy/5B2DU2/gKju2AePiIiIqBSu6NsC364+hDblWCtonM74+PhOHv3n/ImPCse8R0agRX3ntLNbh7bBrUPbBHhUxQm32XzW9omIZYYHcBY28UefXvfBzf3Rp1UigNJNf936wjjTwA1wZxx1Vi0qnr7QuiXEjAeGYeuRTFcfwntT2+FBi3VdBSYVMm/oHIFT9vq4pHdzHPX6UuC1q3sDAD5dlu7zOD2r1zwx2u/4AGdgHB8V5tOE3b3f/X5e0dc3+NKDGO/3cWj7hvh992mfQPne1HY4eCbPNUbvdZThASocpXZqjNmbjgJwTkWNjQyDw2uq7sMXdER8VDj+PmsbCkoc+OrOQfh61QEMbusbWAPOQDwjp9DVnmXWg8MRFW7z2z8yJsLuOh5wVobV15SmT52Emz9aiZwg/21WJwzwiIiIiEphYNuG2PjcWL9BTWncm2pewMKKd4apMoUFCNbMeGdUVj51PvIL3YHQTYNT8MyPmzGkfUPEaC01/K1P++MYz+Aqxk8bDu+AznsqYzCaJUajWWI0NmqBQpjdZpnlLSj2DQYuSAlHampw02CVT4t7c3cMa4OGcZGuo0UESx4fjV4vzDU9Xn8//3pJNww0CZBGd2mMlekZaOFVgOXDW85DVn6xzxrQx8d7tnXo1rweVu5z98Az/vrMsnmAO/saYXf3lZzUo6mrl6KIoF1j5zTm7PxiDG7X0JU1vXVICj5emo4Nz451veYuTePx++7TOHQmDwBcxX02HDrr8bx/GtsR/5jr7IEXGxnmkaFtGBvhCvAAINwmPutdawIGeERERESlVFHBXU1TlgDPu8Jj43jPdXM3DWpt2gvPyh/HBG5irTNmrupFh7t694WKd8awLGY8MAz7TuX4PUbP6L2btgeAswqnv6qp7tYe5uO7a0RbXNO/Jep7TUeNCrcjKtzuk6Hz9v5N/T2CS/19f3JiZ9wxzHwNrH4tGStevm1oHQE4m8sD8Gku/9zF3fCcVzGXqDDzoNsYn13Zr4XH1NqYCDsSYyJwYc+mmLHxKOrHRABwv/dhduEUTSIiIiKqfZLiInAqu9CnP111pwfil/dpjteu6V0h57QKcR8e0xHXDWhpsTd43ZvXc/VcDMSV8QsQd+sZNauKpiLiE9x579eN6eLb+sQ7uNQDvHC7zSMbu+LJ813rDPVryWpMgPO6A4AmQVTW7dw0HvO3n/DZXuJwR3jhdvEoqhOrZX8ztamtDq9ANsxuQ5GDGTwiIiIiqmW+u2cIlu05Xaref9VBk3pR+OHeIabFXSraQ2Mqv9+aHo/oAdXUy3vgyNk8n+OitUCmoBzTDR8Y3R5D2ydhkMUaOCM9HvRaVodkQ6CmN7j3Xt9n1LZRHN67qZ9pQRvdv287DwdO5+K6Aa3w9sI9PvuNFTbD7TaP9hB68Ri9+umtQ9tg7YF17uNtzOARERERUS3UumEsWgfR1sHKUxO7oGcpq4YC/kvcB6uPSfXJstAzTf4yTmVV1jPqUyf1x187oJXpcfrU1HO5hWV8JuDRsZ2CPtZmUXzFqEgrSBPo/TQ2hDczqpNvRtFoYBt3cBhms3lk8PSqoXovxhiv6y3MbuMaPCIiIiIib1ZNv/358s6B5QoqK9rtw9rgVHYB/jDMs2rpsidG+2SqyirAUjfL4wMVHU2MdgZ4xgIioWRzZfCsX1CxNvXRqgJqWTx/cTdXywdd+8Zx+OjW/vjDx6vRvXmCR8EYfeqpnuXz7rkYbhcUVdQvtxIxwCMiIiKiamdIO9+G1lUpNjIML1zS3Wd703rRJkeXTu+WzizjiI6NSvW4Tk2cFVW7NvWfHU1JcgbK8ZVUHEjP4PmLjYosWjOUxy1DUky3j+6cjF/+OAIdk+Nc6+2M9CydcfomAPxhaBtc1se8Cmh1xgCPiIiIiKgK9WhRD1tfGOe35YOZsd2aYN4jIwK2zhjbNRlvXd8HY7v6n+5YHr8+PAKxkc7x60Gbv8TiBV2TMalnUzw1sUvIxmSkB8PeLR8Adx/ASK9KnB2Sq64lSXkwwCMiIiIiqmKlDe50wfRFFBFc2LNZmc4fLGMwdHdqO2TmF+HmwSmWx0eF2/H29X0t94eKWYCnV8qMDLPh14dHIC6qZodINXv0RERERERUrcRZTGetDkQEr1zZE/1TGri26UVWwuw2tEmqPus+y4oBHhERERER1RlX9ffsV9g8MRr7T+dWSNXW6oABHhERERER1VlvX98Xy/aeRpN6gRuq1wQVV7aGiIiIiIiohqkfG4GJPZpW9TAqDAM8IiIiIiKiWoIBHhERERERUS0R0gBPRMaLyA4R2S0iU0z2p4rIORFZr/08G8rxEBERERER1WYhK7IiInYAbwO4AMAhAKtE5Gel1FavQxcrpS4M1TiIiIiIiIjqilBm8AYA2K2U2quUKgTwNYBLQvh8REREREREdVooA7zmAA4a7h/StnkbLCIbRGS2iHQL4XiIiIiIiIhqtVD2wROTbcrr/loArZVS2SIyEcCPADr4nEhkMoDJAJCcnIy0tLSKHWkFyM7OrpbjorqH1yJVB7wOqTrgdUjVAa9DqmyhDPAOATC2iW8B4IjxAKVUpuH2LBF5R0SSlFKnvI6bDmA6APTv31+lpqaGbNBllZaWhuo4Lqp7eC1SdcDrkKoDXodUHfA6pMoWyimaqwB0EJE2IhIB4FoAPxsPEJEmIiLa7QHaeE6HcExERERERES1VsgyeEqpYhG5H8AvAOwAPlJKbRGRu7X90wBcCeAeESkGkAfgWqWU9zROIiIiIiIiCkIop2hCKTULwCyvbdMMt98C8FYox0BERERERFRXhLTROREREREREVUeBnhERERERES1BAM8IiIiIiKiWoIBHhERERERUS3BAI+IiIiIiKiWYIBHRERERERUSzDAIyIiIiIiqiUY4BEREREREdUSDPCIiIiIiIhqCQZ4REREREREtQQDPCIiIiIiolqCAR4REREREVEtwQCPiIiIiIiolmCAR0REREREVEswwCMiIiIiIqolGOARERERERHVEgzwiIiIiIiIagkGeERERERERLUEAzwiIiIiIqJaggEeERERERFRLcEAj4iIiIiIqJZggEdERERERFRLMMAjIiIiIiKqJRjgERERERER1RIM8IiIiIiIiGoJBnhERERERES1BAM8IiIiIiKiWoIBHhERERERUS0R0gBPRMaLyA4R2S0iU0z2i4i8oe3fKCJ9QzkeIiIiIiKi2ixkAZ6I2AG8DWACgK4ArhORrl6HTQDQQfuZDODdUI2HiIiIiIiotgtlBm8AgN1Kqb1KqUIAXwO4xOuYSwB8qpyWA0gUkaYhHBMREREREVGtFcoArzmAg4b7h7RtpT2GiIiIiIiIghAWwnOLyTZVhmMgIpPhnMIJANkisqOcYwuFJACnqnoQROC1SNUDr0OqDngdUnXA65BCobXVjlAGeIcAtDTcbwHgSBmOgVJqOoDpFT3AiiQiq5VS/at6HES8Fqk64HVI1QGvQ6oOeB1SZQvlFM1VADqISBsRiQBwLYCfvY75GcDNWjXNQQDOKaWOhnBMREREREREtVbIMnhKqWIRuR/ALwDsAD5SSm0Rkbu1/dMAzAIwEcBuALkAbgvVeIiIiIiIiGq7UE7RhFJqFpxBnHHbNMNtBeC+UI6hElXrKaRUp/BapOqA1yFVB7wOqTrgdUiVSpwxFhEREREREdV0oVyDR0RERERERJWIAV4FEJHxIrJDRHaLyJSqHg/VbiKSLiKbRGS9iKzWtjUQkV9FZJf23/qG45/Qrs0dIjKu6kZONZmIfCQiJ0Rks2Fbqa87EemnXb+7ReQNETFrl0NkyeJafE5EDmt/F9eLyETDPl6LVKFEpKWILBSRbSKyRUQe0rbzbyJVCwzwyklE7ADeBjABQFcA14lI16odFdUBo5RSvQ1ll6cAmK+U6gBgvnYf2rV4LYBuAMYDeEe7ZolK62M4ryGjslx378LZ17SD9uN9TqJAPob5dfNP7e9ib60GAK9FCpViAI8qpboAGATgPu1a499EqhYY4JXfAAC7lVJ7lVKFAL4GcEkVj4nqnksAfKLd/gTApYbtXyulCpRS++CsWDug8odHNZ1S6jcAGV6bS3XdiUhTAAlKqWVaka1PDY8hCorFtWiF1yJVOKXUUaXUWu12FoBtAJqDfxOpmmCAV37NARw03D+kbSMKFQVgroisEZHJ2rZkvYek9t/G2nZenxRKpb3ummu3vbcTVYT7RWSjNoVTnxrHa5FCSkRSAPQBsAL8m0jVBAO88jObK83SpBRKQ5VSfeGcFnyfiIzwcyyvT6oKVtcdr0cKlXcBtAPQG8BRAK9q23ktUsiISByA7wD8USmV6e9Qk228DilkGOCV3yEALQ33WwA4UkVjoTpAKXVE++8JAD/AOeXyuDbVA9p/T2iH8/qkUCrtdXdIu+29nahclFLHlVIlSikHgPfhnorOa5FCQkTC4QzuvlBKfa9t5t9EqhYY4JXfKgAdRKSNiETAuYj25yoeE9VSIhIrIvH6bQBjAWyG85q7RTvsFgA/abd/BnCtiESKSBs4F3CvrNxRUy1WqutOm7KUJSKDtEpxNxseQ1Rm+odqzWVw/l0EeC1SCGjXzIcAtimlXjPs4t9EqhbCqnoANZ1SqlhE7gfwCwA7gI+UUluqeFhUeyUD+EGrohwG4Eul1BwRWQXgWxG5HcABAFcBgFJqi4h8C2ArnFW/7lNKlVTN0KkmE5GvAKQCSBKRQwD+AmAqSn/d3QNnFcRoALO1H6KgWVyLqSLSG87pbekA7gJ4LVLIDAVwE4BNIrJe2/Yk+DeRqglxFu0hIiIiIiKimo5TNImIiIiIiGoJBnhERERERES1BAM8IiIiIiKiWoIBHhERERERUS3BAI+IiIiIiKiWYIBHREQ1hoikiMhmr23PicifSnmedBFJCnDMk2UY34Uisk5ENojIVhG5S9t+qYh0Le35iIiISosBHhERkblSBXgiEg5gOoCLlFK9APQBkKbtvhQAAzwiIgo5BnhERFRriEiaiPxLRJaKyGYRGaBtbygic7Xs2nsAxPCYH0VkjYhsEZHJ2rapAKJFZL2IfKFtu1FEVmrb3hMRu9fTxwMIA3AaAJRSBUqpHSIyBMDFAF7RHttO+5mjPe9iEemsPcfHIjJN27ZTRC7UtnczPPdGEekQ0jeSiIhqLAZ4RERU28QqpYYAuBfAR9q2vwBYopTqA+BnAK0Mx/9BKdUPQH8AD4pIQ6XUFAB5SqneSqkbRKQLgGsADFVK9QZQAuAG45MqpTK0c+8Xka9E5AYRsSmllmrbH9POtwfOTN8D2vP+CcA7hlOlABgJYBKAaSISBeBuAK9rz90fwKEKeJ+IiKgWCqvqARAREZWCCmL7VwCglPpNRBJEJBHACACXa9tnisgZw/EPishl2u2WADpAy8IZnA+gH4BVIgIA0QBO+AxCqTtEpAeAMXAGbhcAuNV4jIjEARgC4D/auQAg0nDIt0opB4BdIrIXQGcAywA8JSItAHyvlNpl8T4QEVEdxwCPiIhqktMA6nttawBgn+G+dxCoLLZDRFLhDMYGK6VyRSQNQJTJ8wqAT5RSTwQaoFJqE4BNIvKZNq5bvQ6xATirZeNMT+F7SvWliKyAM6v3i4jcoZRaEGgsRERU93CKJhER1RhKqWwAR0XkfAAQkQYAxgNYYjjsGm3fMADnlFLnAPwGbUqliEyAO0isB+CMFtx1BjDIcJ4irXAKAMwHcKWINNafV0RaG8cmInFawKjrDWC/djsLzjV6UEplAtgnIldpjxMR6WV43FUiYhORdgDaAtghIm0B7FVKvQHndM+ewbxfRERU9zDAIyKimuZmAE+LyHoACwA8r61r050RkaUApgG4Xdv2PIARIrIWwFgAB7TtcwCEichGAH8FsNxwnukANorIF0qprQCeBjBXO/ZXAE29xiUAHheRHdrYnoc7e/c1gMe0Ii/t4Aw2bxeRDQC2ALjEcJ4dABYBmA3gbqVUPpxB62btvJ0BfBrsm0VERHWLKGW1nIGIiKhm0aZY/kkptbqqx1IWIvIxgBlKqf9W9ViIiKhmYgaPiIiIiIiolmAGj4iIiIiIqJZgBo+IiIiIiKiWYIBHRERERERUSzDAIyIiIiIiqiUY4BEREREREdUSDPCIiIiIiIhqCQZ4REREREREtcT/A/gi7DO/Mt1uAAAAAElFTkSuQmCC\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_loss(sgd_loss, 'SGD with lr=1e-3')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks reasonable, the loss starts at a high value as our parameters are randomly initialized and then proceeds to decrease steadily. We can't really tell how \"good\" it is without comparing it against another optimizer, so let's go ahead and do that now.\n", "\n", "## Optimizer 2: SGD with Momentum\n", "\n", "One way to think of SGD is a ball rolling down a hill, where areas of high gradient are steep parts of the hill and areas of low gradient are very flat areas. Sometimes the global minima, the point with the lowest loss, is in the middle of a giant flat area. The problem is that because these flat areas have small gradients they also give small update steps which makes learning slow. \n", "\n", "What if we expanded on the \"ball rolling down a hill\" analogy? We'd want to add something to our optimizer that made it keep the \"momentum\" gained rolling down the steep hills whilst it's going across the flat areas. \n", "\n", "Well hey, that's exact what SGD with momentum does! Our parameter update is now calculated using a velocity, $v$, which depends on the current gradient multiplied by the learning rate plus the previous velocity multiplied by the momentum $\\gamma$. \n", "\n", "\\begin{align*}\n", " v_{t,i} &= \\gamma \\cdot v_{t-1,i} + \\eta \\cdot \\nabla_\\theta J(\\theta_{t,i})\\\\\n", " \\theta_{t+1,i} &= \\theta_{t,i} - v_{t,i}\\\\\n", "\\end{align*}\n", "\n", "If momentum is zero then we don't care about the previous velocity at all and this algorithm becomes SGD. Commonly used momentum values are usually around 0.9ish.\n", "\n", "PyTorch's optimizers are sometimes a little different from the actual algorithms. PyTorch's version of SGD with momentum moves the learning rate outside the equation for velocity:\n", "\n", "\\begin{align*}\n", " v_{t,i} &= \\gamma \\cdot v_{t-1,i} + \\nabla_\\theta J(\\theta_{t,i})\\\\\n", " \\theta_{t+1,i} &= \\theta_{t,i} - \\eta \\cdot v_{t,i}\\\\\n", "\\end{align*}\n", "\n", "If the PyTorch implementation differs then we'll implement the PyTorch version as we use it as a reference.\n", "\n", "Note that the velocity `v` is a list of tensors corresponding to the model parameters, so we are storing the velocity of every single parameter in our model." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "class SGDMomentum:\n", " def __init__(self, model_params, lr=1e-3, momentum=0.9):\n", " self.model_params = list(model_params)\n", " self.lr = lr\n", " self.momentum = momentum\n", " self.v = [torch.zeros_like(p) for p in self.model_params]\n", "\n", " def zero_grad(self):\n", " for param in self.model_params:\n", " param.grad = None\n", "\n", " @torch.no_grad()\n", " def step(self):\n", " for param, v in zip(self.model_params, self.v):\n", " v.mul_(self.momentum).add_(param.grad)\n", " param.sub_(self.lr * v)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below we define our SGD with momentum optimizer, train our model and plot the results." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "optimizer = SGDMomentum(model.parameters())" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 41.94it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 42.17it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 42.35it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 42.11it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.48it/s]\n" ] } ], "source": [ "sgd_momentum_loss = train(train_iterator, model, optimizer, criterion, device)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_loss(sgd_momentum_loss, 'SGDMomentum with lr=1e-3, momentum=0.9')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's compare SGD and SGD with momentum." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "losses = [sgd_loss, sgd_momentum_loss]\n", "labels = ['sgd', 'sgd_momentum']\n", "\n", "plot_losses(losses, labels, 'SGD vs SGDMomentum')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see, not only does momentum help us reach the lowest SGD loss, around 1.0, in a fraction of the time it also gives us a lower overall!\n", "\n", "There's also another variant of SGD with momentum called **Nesterov Accelerated Gradient** (NAG) but we aren't going to implement it here for a few reasons:\n", "\n", "1. There are multiple different ways to implement it, see [this](https://jlmelville.github.io/mize/nesterov.html) excellent article for details on the variations, and PyTorch implements it in a completely different way.\n", "2. I have personally found that it has never provided a noticable improvement over regular momentum.\n", "3. It's not very commonly used.\n", "\n", "Let's move on to the next optimizer.\n", "\n", "## Optimizer 3: Adagrad\n", "\n", "One downside with SGD is that we use a single learning rate across all of our parameters, and that this learning rate is fixed through the entirety of training.\n", "\n", "Ideally, parameters that are updated more frequently have a lower learning rate and parameters that are updated infrequently have a larger learning rate.\n", "\n", "This is what Adagrad does. We use $G_{t,i}$ which is the sum of the squared gradients for parameter $i$ up to, and including, time-step $t$. $G_{t,i}$ is initialized to some value, usually zero by default. As the square of the gradients of a parameter are accumulated, $G_{t,i}$ increases, and thus reduces the learning rate for parameter $i$. \n", "\n", "$$\\theta_{t+1,i} = \\theta_{t,i} - \\frac{\\eta}{\\sqrt{G_{t,i}}+\\epsilon} \\cdot \\nabla_\\theta J(\\theta_{t,i})$$\n", "\n", "where:\n", "\n", "$$G_{t,i} = G_{t-1,i} + \\Big(\\nabla_\\theta J(\\theta_{t,i})\\Big)^2$$\n", "\n", "$\\epsilon$ is very small number, used to avoid division by zero in the denominator. Sometimes you'll see $\\epsilon$ inside the square root, and sometimes it will be outside. PyTorch leaves it outside so we will too.\n", "\n", "We implement Adagrad below, initializing $G$ as a list of tensors called `acc_sqr_grads` and using `std` to refer to the denominator of the update step equation. " ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "class Adagrad:\n", " def __init__(self, model_params, lr=1e-2, init_acc_sqr_grad=0, eps=1e-10):\n", " self.model_params = list(model_params)\n", " self.lr = lr\n", " self.acc_sqr_grads = [torch.full_like(p, init_acc_sqr_grad) for p in self.model_params]\n", " self.eps = eps\n", "\n", " def zero_grad(self):\n", " for param in self.model_params:\n", " param.grad = None\n", "\n", " @torch.no_grad()\n", " def step(self):\n", " for param, acc_sqr_grad in zip(self.model_params, self.acc_sqr_grads):\n", " acc_sqr_grad.add_(param.grad * param.grad)\n", " std = acc_sqr_grad.sqrt().add(self.eps)\n", " param.sub_((self.lr / std) * param.grad)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "optimizer = Adagrad(model.parameters())" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 39.21it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.71it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 41.30it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 41.12it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 41.54it/s]\n" ] } ], "source": [ "adagrad_loss = train(train_iterator, model, optimizer, criterion, device)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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gRB0AAACAIDVaqHPOTZeUXmnZx865Ev/uN5J6NNbxAQAAAKA1CHJM3Y8lfRDg8QEAAACgxYsK4qBm9ntJJZJeqGGdayRdI0mpqalKS0trmsLVUn5eniRp1qzZ2pTIfDMITk5OTrN7f6B1oi6iOaAeojmgHqKpNXmoM7PLJZ0h6XhXw0XenHNPSnpSksaOHeumTJnSNAWspfg5aVJersaNG6cBnRODLg5asbS0NDW39wdaJ+oimgPqIZoD6iGaWpOGOjM7RdJvJR3rnMtrymMDAAAAwKGoMS9p8JKkmZIGm9lmM7tS0iOSkiR9YmYLzOzxxjp+o+OKBgAAAACagUZrqXPOXVTF4n831vEAAAAAoDVihg8AAAAAaMEIdfXG5ccBAAAABIdQV0cMqQMAAADQHBDqAAAAAKAFI9TVU/VX2gMAAACAxkeoqyMzOmACAAAACB6hDgAAAABaMEIdAAAAALRghLp6YkgdAAAAgCAR6gAAAACgBSPUAQAAAEALRqiro/K5L7mkAQAAAIAgEeoAAAAAoAUj1AEAAABAC0aoqyOuPQ4AAACgOSDU1ZPjogYAAAAAAkSoAwAAAIAWjFAHAAAAAC0Yoa6OzL+oAZc0AAAAABAkQh0AAAAAtGCEOgAAAABowQh1dVR+SQO6XwIAAAAIEqEOAAAAAFowQl09cZ06AAAAAEEi1NUT3S8BAAAABIlQBwAAAAAtGKEOAAAAAFowQl090f0SAAAAQJAIdXVk/jUNmCgFAAAAQJAIdQAAAADQghHq6onulwAAAACCRKirJzIdAAAAgCA1Wqgzs6fMbKeZLQlblmJmn5jZKv93+8Y6PgAAAAC0Bo3ZUveMpFMqLbtF0mfOuYGSPvPvt2iO/pcAAAAAAtRooc45N11SeqXFZ0p61r/9rKSzGuv4jc3830Q6AAAAAEGKauLjpTrntkmSc26bmXWubkUzu0bSNZKUmpqqtLS0pilhLeXk5EuS5s2bp6y1kQGXBq1ZTk5Os3t/oHWiLqI5oB6iOaAeoqk1dairNefck5KelKSxY8e6KVOmBFugShIXfillZ2n06CM0pjdDAxGctLQ0Nbf3B1on6iKaA+ohmgPqIZpaU89+ucPMukqS/3tnEx+/wVh5/0s6YAIAAAAIUFOHurclXe7fvlzS/5r4+AAAAABwSGnMSxq8JGmmpMFmttnMrpR0n6QTzWyVpBP9+y0ak18CAAAACFKjjalzzl1UzUPHN9Yxg0CmAwAAABCkpu5+ecgoH1NHSx0AAACAIBHqAAAAAKAFI9TVk6OpDgAAAECACHV1ZPL6XxLpAAAAAASJUAcAAAAALRihrp7ofQkAAAAgSIS6enJ0wAQAAAAQIEJdHZVf0gAAAAAAgkSoqy8a6gAAAAAEiFBXT2Q6AAAAAEEi1AEAAABAC0aoqydmvwQAAAAQJEJdHZXPk8LslwAAAACCRKirJ1rqAAAAAASJUAcAAAAALRihrp5oqAMAAAAQJEJdXflXH3f0vwQAAAAQIEIdAAAAALRghLp6op0OAAAAQJAIdXVUfkkDUh0AAACAIBHqAAAAAKAFI9TVExcfBwAAABAkQl09MfklAAAAgCAR6urIv6IBoQ4AAABAoAh1AAAAANCCEerqiYY6AAAAAEEi1NVR+SUNHP0vAQAAAASIUAcAAAAALRihrp5opwMAAAAQJEJdPdH7EgAAAECQCHV1ZOXXNAAAAACAAAUS6szsJjNbamZLzOwlM2sTRDkaBk11AAAAAILT5KHOzLpL+rmksc65wyRFSrqwqcvRUOh+CQAAACBIQXW/jJIUZ2ZRkuIlbQ2oHAAAAADQojV5qHPObZH0/yRtlLRNUqZz7uOmLkdDoaEOAAAAQJCimvqAZtZe0pmS+krKkPRfM7vUOfefSutdI+kaSUpNTVVaWloTl7RmWZn5kqQlS5cqfs+KgEuD1iwnJ6fZvT/QOlEX0RxQD9EcUA/R1Jo81Ek6QdI659wuSTKzNyRNlFQh1DnnnpT0pCSNHTvWTZkypYmLWbNHln8tZezVsGHDNGVEt6CLg1YsLS1Nze39gdaJuojmgHqI5oB6iKYWxJi6jZKOMrN4864LcLyk5QGUAwAAAABavCDG1M2S9JqkeZIW+2V4sqnL0VCY/RIAAABAkILofinn3B8l/TGIYzeU8muPk+kAAAAABCmoSxoAAAAAABoAoa6eHP0vAQAAAASIUFdHJgu6CAAAAABAqAMAAACAloxQV0/0vgQAAAAQJEJdPTnmvwQAAAAQIEJdXTGkDgAAAEAzQKirJ7pfAgAAAAgSoa6eCHUAAAAAgkSoq6Py3pdkOgAAAABBItQBAAAAQAtGqKsnR/9LAAAAAAEi1NUTkQ4AAABAkGoV6swswcwi/NuDzOz7ZhbduEVr3oxLGgAAAABoBmrbUjddUhsz6y7pM0k/kvRMYxWqRaGpDgAAAECAahvqzDmXJ+lsSf/nnPuBpGGNV6yWw5HqAAAAAASo1qHOzCZIukTSe/6yqMYpEgAAAACgtmob6m6U9DtJbzrnlppZP0lfNFqpWhAmvwQAAAAQpFq1tjnnpkmaJkn+hCm7nXM/b8yCNXfmX36cTAcAAAAgSLWd/fJFM2trZgmSlklaYWa/btyiNW/ls1/SUgcAAAAgSLXtfjnMOZcl6SxJ70vqJemyxipUSxDhp7pSUh0AAACAANU21EX716U7S9L/nHPFauU9D/e11LXqpwEAAABAwGob6p6QtF5SgqTpZtZbUlZjFaolKG+pKysj1AEAAAAITm0nSnlY0sNhizaY2dTGKVLLUN5SR6YDAAAAEKTaTpTSzsweMLM5/s/98lrtWq1QSx3dLwEAAAAEqLbdL5+SlC3pfP8nS9LTjVWolsBvqGP2SwAAAACBqlX3S0n9nXPnhN2/08wWNEJ5WgyjpQ4AAABAM1Dblrp8M5tUfsfMjpaU3zhFahkYUwcAAACgOahtS91PJD1nZu38+3slXd44RWoZIkKhjlQHAAAAIDi1nf1yoaSRZtbWv59lZjdKWtSIZWvWyidK4Tp1AAAAAIJU2+6Xkrww55wrvz7dzY1QnhajPNSVlgVcEAAAAACt2kGFukrswKscwuh+CQAAAKAZqE+oq3OaMbNkM3vNzL4zs+VmNqEe5QgU3S8BAAAABKnGMXVmlq2qw5tJiqvHcR+S9KFz7lwzi5EUX499BYrZLwEAAAAEqcZQ55xLaugD+pOtTJZ0hX+MIklFDX2cRueHObpfAgAAAAhSfbpf1lU/SbskPW1m883sX2aWEEA5GgQtdQAAAACCZE09JszMxkr6RtLRzrlZZvaQpCzn3G2V1rtG0jWSlJqaOubll19u0nIeyKMLCvTt9lKd2jdaFwyOCbo4aMVycnKUmJgYdDEA6iKaBeohmgPqIRrD1KlT5zrnxlb1WG0vPt6QNkva7Jyb5d9/TdItlVdyzj0p6UlJGjt2rJsyZUqTFbA2Xt0yV9q+XT169NCUKcOCLg5asbS0NDW39wdaJ+oimgPqIZoD6iGaWpN3v3TObZe0ycwG+4uOl7SsqcvRUOh+CQAAACBIQbTUSdLPJL3gz3y5VtKPAipHnTkmSgEAAADQDAQS6pxzCyRV2R+0pSmjqQ4AAABAgIKY/fKQsK+lLthyAAAAAGjdCHX1RPdLAAAAAEEi1NUTLXUAAAAAgkSoqyMnL8019XX+AAAAACAcoa6e6H4JAAAAIEiEujpiohQAAAAAzQGhrp5oqQMAAAAQJEJdHZVHOTIdAAAAgCAR6uqJljoAAAAAQSLU1VF5litlUB0AAACAABHq6omGOgAAAABBItTVE90vAQAAAASJUFdnXpgj1AEAAAAIEqGunhhSBwAAACBIhLo6Km+gc7TUAQAAAAgQoa6eaKkDAAAAECRCXR2VZznG1AEAAAAIEqGunrhOHQAAAIAgEerqiVAHAAAAIEiEujoqnyCFUAcAAAAgSIS6eiLUAQAAAAgSoa6OyqNcKROlAAAAAAgQoa6eaKkDAAAAECRCXR2VN9AR6gAAAAAEiVBXT4Q6AAAAAEEi1NUToQ4AAABAkAh1dRSaKIVQBwAAACBAhLp6YvZLAAAAAEEi1NVR+cXHS0oJdQAAAACCQ6irpzJa6gAAAAAEiFBXTyWMqQMAAAAQIEJdPZUR6gAAAAAEKLBQZ2aRZjbfzN4Nqgz1Ud7rkpY6AAAAAEEKsqXuF5KWB3j8BkFLHQAAAIAgBRLqzKyHpNMl/SuI4zckWuoAAAAABCkqoOM+KOk3kpKqW8HMrpF0jSSlpqYqLS2tSQpWW+l78yVJxSWlza5saF1ycnKog2gWqItoDqiHaA6oh2hqTR7qzOwMSTudc3PNbEp16znnnpT0pCSNHTvWTZlS7aqB+Ofqb6Q9e+TM1NzKhtYlLS2NOohmgbqI5oB6iOaAeoimFkT3y6Mlfd/M1kt6WdJxZvafAMpRL+UTpZSWudCFyAEAAACgqTV5qHPO/c4518M510fShZI+d85d2tTlaEgMqwMAAAAQFK5TV0fhjXMlZWXBFQQAAABAqxbURCmSJOdcmqS0IMvQEMh0AAAAAIJCS10DKGVMHQAAAICAEOrqyGlfkCsj1AEAAAAICKGuAZQxUwoAAACAgBDq6ii8ca6UUAcAAAAgIIS6BkCmAwAAABAUQl0dhec4xtQBAAAACAqhrgEQ6gAAAAAEhVDXABhTBwAAACAohLo6evTiI3T+oGhJFSdNAQAAAICmRKiro05JsWoXa5JoqQMAAAAQHEJdPUSYH+poqgMAAAAQEEJdPfiZTo5QBwAAACAghLp6iPBDXWlZsOUAAAAA0HoR6uqh/MnjkgYAAAAAgkKoqwcLtdQR6gAAAAAEg1BXDxGhMXXBlgMAAABA60Woqwc/0zH7JQAAAIDAEOrqobyljjF1AAAAAIJCqKuHUKhjTB0AAACAgBDq6iF08XFCHQAAAICAEOrqoXxMHZkOAAAAQFAIdfXAmDoAAAAAQSPU1QOhDgAAAEDQCHX1ELqkAf0vAQAAAASEUFcPXHwcAAAAQNAIdfXgT35JSx0AAACAwBDq6qG8pa6UpjoAAAAAASHU1UP5mDpHqAMAAAAQEEJdPey7+HjABQEAAADQahHq6oFLGgAAAAAIGqGuHsq7XxLqAAAAAASlyUOdmfU0sy/MbLmZLTWzXzR1GRoKLXUAAAAAghYVwDFLJP3SOTfPzJIkzTWzT5xzywIoS73ERnq/cwpLgy0IAAAAgFaryVvqnHPbnHPz/NvZkpZL6t7U5WgISTEmM2lXdmHQRQEAAADQSgU6ps7M+kgaLWlWkOWoq8gIU4eEGO3KLgi6KAAAAABaKQvqGmtmlihpmqR7nHNvVPH4NZKukaTU1NQxL7/8chOX8MBycnL0l4WR6hhn+sURbYIuDlqpnJwcJSYmBl0MgLqIZoF6iOaAeojGMHXq1LnOubFVPRbEmDqZWbSk1yW9UFWgkyTn3JOSnpSksWPHuilTpjRdAWspLS1NXTrEKDoyQlOmHBV0cdBKpaWlqTm+P9D6UBfRHFAP0RxQD9HUgpj90iT9W9Jy59wDTX38hhYfE6XcIiZKAQAAABCMIMbUHS3pMknHmdkC/+e0AMrRIBJiI5VXWBJ0MQAAAAC0Uk3e/dI5N0P7rtvd4sVFRymPljoAAAAAAQl09stDQUJspHKLaKkDAAAAEAxCXT3Fx0Qpj4uPAwAAAAgIoa6eEmMjVVRapoJigh0AAACApkeoq6fOSd716XZlFwZcEgAAAACtEaGunjq3jZUk7cgqCLgkAAAAAFojQl09dUuOkyQ9/fV6OecCLg0AAACA1oZQV08DOydKkt5btE0z1+wJuDQAAAAAWhtCXT2Zma6b0l+StGJHdsClAQAAANDaEOoawPVTB0iSikrKAi4JAAAAgNaGUNcAEmIiFR1p2ptXHHRRAAAAALQyhLoGYGZKjo/R+t25XK8OAAAAQJMi1DWQAZ0S9eHS7brgiZlBFwUAAABAK0KoayDj+6VIkhZuzgy4JAAAAABaE0JdA4mLjgy6CAAAAABaIUJdA2kbFx26vWxrlv63YItyCksCLBEAAACA1iAq6AIcKs45oofu++A7ZeYX67SHvwwtX3/f6QGWCgAAAMChjpa6BhITFaHXr5u43/Ll27J07fNzmBUTAAAAQKOgpa4B9euYsN+yUx/yWu2Wbs3Ua3O3KLugWO8u2qYXrhqvowd0bOoiAgAAADjE0FLXgCIiLHS7b6WAl5lfrJdmb9S7i7ZJkl75dlOTlg0AAADAoYlQ18A6JMRIkiYPrNgK93ja2orrJcY0WZkAAAAAHLroftnA3v35JG3NKFCXdm20NbNAfTrE659frtPs9ekV1ntx1kbdfOIgJbWJ1qfLdmjuxr0a2aOdTh7eRWZWzd4BAAAAoCJCXQPr2i5OXdvFSZL++cOx3u8v1+23XmFJmf7zzUZdclQvXfXcnAqP3Xv24YqKMJ03tud+293y+iK9/O0mZtUEAAAAIInul03i96cNVe8O8Tp9RNcKy1+YtUEj7vh4v/V/98Zi/fq1RVXu62V/LN6HS7Zrw57chi8sAAAAgBaFlromcPXkfrp6cj8VFJeqbZto7c0t0odLt2vz3vwatzv/8ZmKjjKN7Z2iG08YWKFb5k/+M1dx0ZFaftcpyswvVmJslCIjTFkFxVq8OZOZNQEAAIBWglDXhNpER+resw+XJPW55b0Drl8+Du+r1XuUHB+tHx3dt8Lj+cWlyisq0cg7P9aVk/rqZ8cN0Kg/feJt+/vj1TmpzUGVb3tmgVLbxjKmDwAAAGhB6H4ZsE5Jsbp4fK8DrnfnO8s06k/7d9UcdvtHkqSXZ2/Uh0u2h5ZPX7lb/W99X7PXpe+3TVUWbsrQUfd+ptfmbq5lyav25PQ1WrQ5o177AAAAAFB7hLqALLz9JC3708n69vcn6J6zDgst79MhXrecOqTKbTLyiqvdX25RqW55Y3Ho/v0fr1BpmdP1L87bb928ohIVl5aFbl/17Bw9O3O9JOneD75TUUmZCopLVVJaJuectmbka+6GA4fDopIy/fn97/T9R77S3z767oDr19Vny3fo3zO8yWecc9qRVdBoxwrS8zPXK23FzgOul1no1OeW9/Tlql1NUCoAAAA0N3S/DEi7+OjQbTNT2q+maMGmDE0a2FEdE2N13wdeKOrXKUFrdx38hCjbMr2gsyu7UH1ueU9H9mmvm04YpIv/NUuS1CslXqVlTlsyKo7rS88t0sT7PtPunCLddMIgdUtuE5q05RfHD9QlR/XShj152p1dqGMHd5LJNH3VLm3LyNfInsmh/Tz6xRr9+mQvnDrnZGbalJ6n+JhIrd2dq06JserTMUGZecWKjPS6eybGVqyOzjk5J5WUOa3emaMlWzN1/tieuvJZb7bQKyf11V8+XKHHp63RnD+coI6JsaFty8qcPliyXacc1kWREaayMicnKTKi5XQtve1/SyXpgDOdrs0slSQ9/dV6HTOwU52OlV1QrKQ20VU+tn53riIjTD1T4uu0bzSuvblF2pVTqEGpSUEXBQAABIRQ10z06ZigPh0T9lv++S+nSJIen7ZG933wnY4d1EnTVnotMn89d4R+U2mWzBOGdtany73WncGpSVqxI1uS9O36vaFAJ0kb0/OqLcvunCJJ0kOfrdTkQftCwkOfrdJDn606qL8rM79YI+/c1210UGqiVu7IkSR9d9cpGhnWpfSWU4fouCGd1SEhRmPu/lS9UuJ13JDOeubr9aF1JvTrELq9M7tAj09bI0latSNHZc7p/320QpMHdZJz0s9emq9bTxuiayb31+VPz9asdelaefepmrZyl0b3SlbbakJMub9++J3W7MrRE5eNrXadvblF2p5VoKFd2+732MY9eXpn0Vb9dEr/0DjF1TtztHJHtk473JsJtTy4RkSY3lu0TWbSaYd3VX5RaWg/Fz45UycMTdVVx/SrsP89OYVauztXr6/0Xq8V27O1JSNf3ZPjQus8Pm2NJg3oqMO6t6v2b5i1do8uePIbvXDVeA3r2laJbaIUHbmvEX/K/0uTVLdxms3N9swCzVi9WxP6d6jwPDW2D5ds0+AubdW3Y4Jemr1RkwZ0bLCQPPoubxztv344VicMS22QfVblH2mr9fnynXrtuomNdoyGkFdUIuekhNjm8e+tpLRMK3Zka3i36t+DB1Ja5pRXVFLliZe8ohLFx0Ttt35LOoEFAKg/c84FXYYDGjt2rJszZ86BV2xiaWlpmjJlSqPs+9i/faHcwhLN+cOJ+z1WPsnKuntP0y2vL9b3RnbTpf/2Atv8207Uz16arxmrd+v3pw3VPe8vb5Ty1UbvDvHasKf68NhYIkwqq6ZaJ7WJUnZBieKiI/Xvy8fqy9W7NbZ3e5U5r7XqlMO66M/vL9db87cqp7CkwravXjtBa3fl6LDu7bRsa5bOP7Knht72ofKLS7Xi7lMUExmhzXvz1TMlXi/O2qj7PliurIISnT+2h+JjovTjo/tq8t++kCTN+O1U9WgfrzveXqqPlm7XxzdN1uH+5S3evuFopecW6Yqnv61w/DV/Pk0R5k2Q896ibdVe9qK8ZS+nsESH/dEbc/nXc0bopOGpahMdqV3Zhfrnl2sVFx2pjel5+mTZDpWUOf346L566qt1+uGE3vrTmWFdgsMm9Xnnhkk6vEc7FRSX6umv1uvHk/ooNiqywvF3ZBXo+Zkb1L19nC4ad+DxonWxaHOGnv5qvf527ghFhQXQez9Yru7Jcfp46Q49dOEodQhrvV21I1vnPzFTe/1uzEvvPHm/L/4ZeUVasytXby/Yol+cMEib0vP06pxNuvusw2qcQGjp1kz175SomMgI5RSV6NJ/zdJ9Z4/QsG5e2O9zy3uKjjTNvvUEjb7rEw1OTdJHN02usA/nnGau2aOj+nVQRC2/kOcXlWro7R9K2teSnltYqr4dE/TqnE36zWuL9N7PJ1UIFAXFpXros1WaMqiTxvVN2e/v+nTZDk3o30EJsVHanVOo1TtzdFS/DqF6UFPLcWN9Js7fuFeREaYRPZL3e2zVjmx1SIzVki2Zmjyokw7740fKKSxpsGt5LtmSqZzCEh0VdkKpJntzi3TXu8t0x5nD1bZNtP6Rtlp//XCF/nf90RV6M1SnuLRM8zdmaFzflNCy2/+3RM/N3KDV95xaob6/vXCrfv7SfH1682QN6JykguJSff7dTv30hXka0iVJH944uapDtHjFpWWKirBq35NV1cOPlm7X4d3bqVulkzk7swu0eHOmjh/asCdEyv9/hPdAyS0sUXpuUYOc0MkuKFZZWcVeP/U1b+NerduVq3PG9GiwfbZmB/N5+OGSbeqQGKsj+6To7YVb9eXKXfrbeSMP+piFJaX7/U9GzfbkFCo5PqbFnAgzs7nOuSpbG5rHqUzs5/NfTlF1gXvGb6dqy958mZn+cu4ISRW/aD168RFaui1T4/t2UFSk6fQRXTXuns9Cj180rpfG9G6v1Laxyi0s0U/+s2/c3eHd22nxlswKx7t8Qm89O3PDQf8NQQQ6qfpAJ0nZBd4/2vzi0gotl+VufnVhtdue/8TMCvd3ZBUov9hrUTv6vi904ZE99cgXqyu0lkrSq3O8yWfCWxxf/XaTLp/YJ7TsgU9Whh77/iNfVXn8/re+X6Glszp5RSWhCXTK/eb1RfrN6zVupqe+8sYpPjdzg9Jzi/TTKQP0rxlrK6zzvUdm6Pkrx2nZ1iz95cPvFBsVoR9Pqjgr69n/+DrUrbd3SryGdG2r295aorF92qtTUqzW7MzV8G5t9daCLbrz+8OVU1iicx77Wn87d6TG9Gmvtm2ilZFXpF3Zhfr+I1/puKGddf95I9Um2vtH9cHibbruBa/Ovjl/i84+orseOH+UikrK9MS0feU99/GZmjSgo1ISYtQrJV6//G/F1/acx77WhzdOlnNOny7fqcWbM/Tw56tDjz87c4PaxUUrM79YRw/oqJ++ME8vXDVe/TolqH18TKg8e3OLdPrDM3TmqG6au2GvCopLtTunSPe8v0x/OWdEaL3iUhdqVVuxI1sPfLxCN580OHS8T5fv1NXPzdE1k/tp+spduv17w9QxMVbdkuNU5pzatolWZl6xXpy9UeeP7aFdOYV6NqxOfbhke6gl/dObjw214p/+8AzNu+1EpSTEqKikTEfe86myC0r0WNoa3XXWYbroyJ6avT5dSbHRuvq5OdqeVaCj+qXohqkDQyeLnr9yXOg4izdnqk10hAaGdffMLyrVCQ9MU4eoIh17rNfduvwL7LrduTpmYEeZmZxzyi4sCbWSb8vM14R7P9eLV43XxAEdQ8Hxg18cU6H1+wf/+FqS1zvh/LE9Q8udczrx79ND98f1SQl9mV69M1t9OiRUCEHe8hz9+Jlv9dpPJigiwnTPe8sVHWm65weHKzoyQmVlTq/O2aQzR3VXXEykzvi/GV5d++lEDenSVnEx+39hysgr0g+fmq0Hzh+pV77dpDfmb9Hw7u105aS+2uT3ipizYa9G9kxWTmGJIs20IT1Xby/YqncWbdUr10xQt+Q4Oed021tL9PK3m/TgBaN01ujukqQXZ230jpNfXKGb+ZvzNvt/U67axcXomufnaP7GDEnSd9uzlZ5bpJlr9ujEYamKiap+CH16bpHax0dXCEmlZU4mVTjBsCUjX2VlTj1T4jVj1W7tyS1UcanTpvQ8zV6Xrp9M6a+J/TtoW0aB/vz+cj1wwUhFR0bo1/9dqKuO6ad2cdEHHWhKy5wy8opCJ2gWb87U9x6ZoWsn99PvThuql2dv1JTBndWlXdW9CFbvzNaSLVm68ZUF6p4cp69uOa7C41c+M0eLt2RWeZInnHNOCzdn6u0FW3XraUNC9Sq3sEQJsVEqLCnV+4u36axR3WVmOvLuTxUTFaGFfzwptI9TH/pSG9PztO7e02o1y3ReUYn+9M4ynTW6+34nFY6+73NlFdTt5EVJqTf+/erJfdW13b6Qe7b/Pjv7iO7akpGvHu291+qNeZv1q/8u1NI7T5GZQp9pB7J6Z7biYqJq3Ssit7BE6/fkHrBV+0dPz1ZGfrHe/OnRofd7fHTkfifD1u/O9U5u1tBTpTwE/XfOJo3u1V4DOidWuV5RSZlyCktUVFKmn74wV49dOkapbfevcx8s3qb42CgdO+jAQyHmrE/X8G7tFBcTGfoetv6+0/Xzl+Z7f+fRfXX3e8v02KVj1C5uX3j/bPkOxcdEaUL/inXi02U7dNVzc/b7/KystMzpzflbdNaobvt9PtaGc073vLdcp4/oqtG92h9w/ZLSMjmpQg+gyrZk5Our1bvVv1OCxvROqXa9qhSWlOrl2Zs0dXBn9eoQr5zCEn29erdOGt7lgNvmF5VqzN2f6oqJfXTH94dL8oYtxURGNOgJk6ZCS109NGZLXUNyzqnv796XJM2+9Xh1rvRBtHFPXqgF6cELRumFWRt079kj9P7ibXrgk5V692eT9NzM9Rrft4NOGJqq0x7+ssJYvIGdE/XKtRNUUlamT5bt0O/fXFJtWe46c3horNiB1KalMSk2StmVWtQQjMO6t9WSLVkHtc2QLklatTNHpTUlcd9Jw1J13tieuvq5hvssGNc3RZvT87Q18+Am2+nbMUHrdudqXJ8U/fKkQbrgyW/qdPxzx/TQbacP0/LtWbrwAPv4v4tG62f+P/uDNaRLkq46pp+KSsp065uLKzx24wkD9eCnB9etWpIeunCUBqUmKTk+WhPu/Ty0/N6zD9ffP1kpM2lHVqEkLxCN7tU+1GpVPgb23UVbdcOL89WjfZx+c8qQ0JeZ354yRFOHdNKOrEKVlTn96Jl9rdZr/3yaXpu3Wb1T4tWnY4LG//kzVWdkj3Y6fURXfbc9Wz87bqD6dkzQmY9+pYWbMvSbUwbrs+U7NXfDXkleS3xkhHTF09+GTv5UlhwfrQW3n6RlW7PUr1NC6Mvt/xZs0S9eXqCJ/TuoV0q8Xv52kySpe3KcjurXQa/P26zrpvTXycO76KxHv9qvF0NVJ9MkafEdJympTbQG3Pq+Svz3yEXjeures72Teec+9rXmbNirtm2ilFVFmeNjIpVXVKoJ/Tro4vG9FGGmJ6ev0cLNmfrdqUOUmV+sCf076LJ/zw51fb/l1CFKSYjRiDs/1pmjuunGEwbp5lcX6vop/UP1fN5tJ+oI/wRFTX598mB1TIzRb1/fV+c+vXmyPv9up/KKSnX91AGKjozQM1+t0wuzNiojv1hvXDdRS7ZkatLAjrr51YVauytHa3blatU9pyqvsLRCl/1yPVPidMXEvrp8Qm/96r8LFV+wW5edPF6DU5PU79b3K6y76I6T1LZNtAqKS7Vud65OfehLv1zHqk+HeC3YlKGBnZO0bFuWtmbka1zfFJ3z2NfamV0Y2sf3RnbT1ox8XX1MX/3kP/P04AWjtGpnth79Yo2O6JWsvXnFWrfbGwvfPj5alx3Vu8IJo++P7KakNlHatDdfV0zsrVvfWKL/u3i03l6wVbedMUyz16XLyen2/y0N7ae8xT0zr1jt4qOrbDnfnVOojomxmr5yl2at26Mbpg7Uf+du0iXje+u5meu1MT1Pm/fma/KgTrrtrX3/p5feebLeWrAl9L/7F8cP1EOfrdITl43Rd9uy9fdP9510lKTpv56qHu3jFBFhenzaGnVIiFHvDgmh1mXnnJ6buUF/fNv7X3+/3+LUr1OCRvdqr4LiUhWWlCkuOlILN2foyD4pysgrCl2S6dbThuiRz1frgxsna876dA3r2lbLtmXp/o9X6qdT+ocmhXvxqvH64VOzVVLmNDg1SSVlZXryh2PVv1OidmYXhE5mVxWiv1m7R3//ZKVmrUvXf64cr0v/PUtx0ZFa9qeTqwzc1784T+8t2qafTumvf6R5wz7+cPrQCsMilm/LCtWn7+46RTc/9ZluOXeSsgqK1btDvMqcQuFsa0a+Jt73udrFReurW44L9apZf9/p+13y6s8/OFwnD0/V2wu36vIJfUJ1+q6zDtO5R/QInWi66ZUFenP+Fv3t3BE6L+zkV35RaYUw/sKsDfr9m0v0pzOH64cT+kjyTjSv3JGtuJhIFZWU6XenDVXaip1KahOtMb33BbfcwhIt3JShi/81SzFREXroglHallmg00d0DYXcrILiCsNbLv7nN/pue7be/dkk7ckpUlFpmSIjTG/N36KBqYka0iVJVz83V+m53lCSt284WlszCnTckM76dn36ftddziks0ex1e3TsoM6KjDB9smyHrn5ujgalJup3pw4N/b+47Kje+tOZwyu8njuyCtQ5KTZsSEy2TnjAOzG45s+nae2uHJ349+nq0T5OM35b8QRQc1FTS10goc7MTpH0kKRISf9yzt1X0/qEuvr7ZNkODeycWOW4PUmatnKX2sVFa1Sl7kHVNeXf+PJ8vbNom2bfenyFLm6V7c0t0mff7dSv/FaSFXefosF/+LDCOv+5crxmrdujSQM6hr40DE5N0oc3HqPnv9mg28NC4K9PHqyTh6eqV0qC9uQWKjE2KtRtsdxLVx+lhz9bpZlr90iSVt59qiTptreW6Mi+KZq5Zo9en1fx0g09U+K0Kb3qi8Enx0erT4cELdiUUe3fWZWzj+iuN+ZtOeB6Pz9uQIV/+NV9wavKb08Zone/Xamle8oOqmxonXqlxNc4nrax9O+UoLyi0tAETg9eMEpvzN+i6SubdsbWyq3odfGH04fq7ve8k00XjeupL1ft1ua9VX921NeJw1K1ZmeO1u6uOFnW7WcM0yvfbgqNmW5qkRFWqxMxddE9OU5bMvKVHB9d44zPVbn9jGH607vLQveHdEnSd9srPkdREaZzx/TQ8m1ZWri54udsVROT1fS/oamVB4pnfzxOlz81W9K+k109U+J0yoNf6vyxPUK9QxpbXHRkqLeKJI3p3V73nn24/vDmktB1dis7ekAHfbV6T5OUr1y/jl6Y/OnU/kqKjdLcDXtDvT2qEhsVoT9+b7jW78nVD0Z315AuSaET45UdM7CjcgtLlBwfo8+/2/fZ0qVtG22vYmbuKyb20c7sArVtEx06+dOnQ7zW+yd5rpvSX4/5obHcuL4poctThX/+lLv/vJE6Z0wPnf/4TM1en64HLxil6at2KSu/WP+6/EgN+sMHKiop09je7dUzJV5vzve+l0RGmB65aLROPbyrBv7+fRWX7ntPv/aTCTr3ca930rzbTtT3H5mhguIy7c4pVHXu+cFhKi1zoe9sI3sm64KxPfc7kVhb5e/HyYM66UcT+2h8vxSVlrnQd75zjuihYd3a6q6w93xl107uJzPTmN7tdfMrC5RdWKJBqYka3q2dtmbka1bYZb+iI63CczD/thPVPiGmTmVvTM0q1JlZpKSVkk6UtFnSt5Iucs5V+6oQ6lq+P72zTCkJ0brhuIHamV2gV2Zv0tWT+2lrRr76ddrX3eGr1btVVFKmYwd1CnWlKCwp1aNfrNG1k/tV2T2mtMwpPbdIS7ZkKiE2KnS2cM2uHK3dlasTq5g8Ym9ukZZty9KzX6/XIxcfUaFr0j/SVuuofh00umdy6GxOUUmZfv3aQvXtmCCT6ewjuqtH+zhlF5boH1+s0YnDUjWyRzs9N3ODdmQX6KYTBqlNdKRyC0u0J6co1BL6wS+O0eItmVq8OVO3nTFMX6/ZrckDO2nt7lyd8MA0XT+1v24+cbBenL1R6TlF+vunK9WvY4JioiJCX076dIjX4T2SlVtYokcuHq3ZX89QRLfhuv6FeTp9RFfNXLunQivAQxd6Z9IuGNtT7y7aqjLnhfgj+6TonYVbtWxbln510iA9lrZGT/9onJLaRIXONkreGexHPl+lqUM667evL1JyXEzon9Wwrm2V1CaqwgdjuT+cPlTHD03Vcfenqfxj5tObJ6uwpEzLt2Xro6Xb9cmyHZKkf18+NjSr6cGoz7jRuOhIfX9kN70yx/vH+qOj++jpr9aHHp/Qr0PoxEBlJw5L1fJtWRW+zFf1Tzy1bWyotepgnTA0VZ8u33HA9X554iA9mrZaBcVNF+xH9kzWwoM8ydHSXTu5n56YvvbAK6LR1bV1GThU1TSXAOpmXN8UvXrthKCLsZ/mFuomSLrDOXeyf/93kuScu7e6bQh1aOky8ooUGxVZ5Xiccmt25ahn+/gKAXPp1kwN69o2FC7TVuzUsG5tK8xCWV09PPORGTpvbE9delTvao+5ZEumvlq9W9f4Z7PKPfv1eq3ZlaPrpvSvMOaiOs457couVKekWGXllyipTVQolDvn9PbCrerfKbHGsQ1/+fA7maTjh6Zq2bYs3fbWklAXiA17vMsqdE5qo6VbMzWyR3Jo/2/N36KOibEa07u9/j1jra46pp/aREcqI69IL87eqCN6tVf/TonqlBSr9btz9drczRrVMzk0U+Qf3lqssb1TdNbo7vrVfxfq7YVb9eRlY3TsoE5asSNb8dFRMvMmLypz0uvXTdCY3inKLijWn95Zpp4p8ZoyuJNG9EjW9swCTV+5S6cc3kXZBSVKjI3Sf77ZoGe/Xq8Xrz5KS7dm6rghnZXUJlqLN2d6XU9u81qul955srZl5ivCTE5S/06JenvhVo3umaznv9mg7ZkFGtUzWZdP7KNVO7O1aHOmzh7dXVGREdqSka+V27OVkV+k7IIS3f3ecj1x2RhNHthJK7Zn6+ZXF6hH+/hQSDx+SGedclgXje7VXnlFJTq8ezvd8NJ8fb58p1LbxurpH43TTa8s0IJNGerTIV7/uvxIPT9zvfp3TtSAzoma2H9fd5gNe3L18dIdOqpfB82bN0eTJx6ldbtzNGlAJ935zlJ9/t1OdU+O0xy/m+PNJw7SA5+s1MnDU3Xtsf3VLi5a/1uwVY9PW6OikjLdf95IrdqZoznr0xURYYowyTkvSD4ZFqpOHJYaOikwtnd73XTiIF0SNk7245sm6yR/vN3DF43WzDV7NKpnOx0/NFVnPDyjQgCfNKCjNu/NC50tl6Sj+qXokvG9FR0ZoUGpieqWHBd6rY4Z2FFfrtqt5PholZW5Krs+Sl63qVvfXKxu7dqoY1KsNqbnKSOvOLT93Wcdpjnr0/XWgq2aMriTjuyTonPH9NDx90/bb6KmM0Z01V/OGaGbX12gj5ZWDPvhX+jaREeooLhMX/5mqronx6m4rEzvLtwWGlN6w9QB2ptXpBdmbdQVE/voOf8apddPHaD/C+sxMLpXsm4/Y5gSY6PUNTlOu7ILtWhzhlZszw51P1t1z6ka+PsPJO1rBX3tJxM0uld7TV+5S2krdsrM9MzX63XmqG4a1rWt7v1g/2uY3nv24brwyJ66/OlvNX3lLvXvlKCN6Xmhs+YvXX2UjuzTXmt25Wrd7hwdPzQ1dNwDuWhcL7VtE6Wnv16vopKKJz7+es4I/eb1fRNOvfaTCXpx1ka9MX9Lla3aJw9PVXGpC7XIREWYXr9uorq2a6OHP1+lTen5mrdhr35z6hANTk3SuL4pGnfPp9qZ7XWLjDBpYv8OuuqYfhrWtW2oG92onska1TO5wrjrKYM7KW3FLl16VC+VlLpQq064M0d10/8WbK3y7x7Tu73KnAuNsSwvf+W6U+6hC0fprneXqW1cdI2XUTphaKoGpSaG6sDBOn9sD501ursu/uf+Y9olKSEmUrlhsz+Xi4owPX7pGN30ygK9dcPRWrAxo8I46c5JsRW6yErS6SO6qkvbNlq5I1trdubs182+fOI0SerWro36d07U4NSk0HthzoZ0Ldpcfa+ZqnrjPPOjI/Xzl+Yrq6BEHeNMXVPaqntynH5wRHdd+/zcmp+cMOZ/7knabyz9nd8froTYKLVtE6Xl27I1Z0O6vly1u8b9nX54V63ZlRM6OTyhnzfnQlXbjendXnM37FV8TKRKSp2KSve9b6pqzS5fX5JOPayLkuOj9dLsffX12sn9NG3lrv1azWty3ZT+SluxS8u3VT2ko7xFvyaVW5Jr8s4Nk/T7t7wWxa7t2uijpTv02CVH6FR/pvLmpLmFunMlneKcu8q/f5mk8c65G6rbhlAHVO9QrYfLtmZpaNekWk0o0NyVX6uxKku2ZKpNdGS1A/Qb6nhlZV64PuWwLrWa6KDMTwm1nYlTqrkuZuR5Yyk6J7XRrLV7NLJncoVylJU5TVu5S1MGd6r2ufpH2mq1j4+Rc94XqjbRkRX+1h1ZBSosLlNCbKQ6JMZq6dZMvbNwm357yuD99rkzq0DtE2IqDN7fmV2gpNhoRUSoym7nWQXFSoiJUmSENxFMfEykzEw7sgq0YFOGVu3I1uUT+2inf4KjbZvoCuUrLi3TruxCdU6K1Zvzt+j0EV0VGxWp4tKy/V6T+z9eofTcIl05qa8+WLI9dGmUrRn5WrIlUycOS1VRaZliIiNk5o1PKSwp1ZmjumvVjhwd3qPiCZTtmQVqGxcVuvxBdXVyyZZM9e4Qr4SYqGpf+22Z+aGTLB8t3a703CKdfUR35ReVKjl+/+5K+UWloRNaRSVlKi4t056cIsVERWhPbmFoYoyyMqe9eUVKahOtjPwiFZWUKTYqUp2S9u/iX1TijeHu3SFe8TGR6pYcJzPvc+O6Z2bqwUvHVzljaVZBsS584htdP3WATh/RVXlFJdqZVagVO7J18vAuKiopU0FJqeKiI/XtunR1bx+nXinxen/xdk0a0FHt4qOVW1giMykqIqLGCWgk72TdFn8cW1UKiktDr/2SLZl65uv1GtO7/X4zB2fkFSk+JkrF/hfsgmLvuf56zW7NWb9XE/t30IgeyWoTHaE5G/ZqRI92io2K1J6cQrWNiw7V8z05hSopc8ouKFH/TgmasXq3juyTUqH+FZWUafPePL0+b7OunzpAWfklioiQEmKiFOdPSJJdUKyMvGJ1S47T8m1Zmr0uXbtyCjW6Z7KGdvUmFOrgd10rKXN64ZsNunBcr9BxCktKVVamUL14afZG9U6J19Cu3iRaFx7ZS2bSrHXpofdV5Yk2sgqKdftbS3TjCYNCQ0tW78xR57ax+nDxdp0zpkeFGQ2LSsr0zdo9OrJPilbuyNbh3dspPa9IO7IKqp2cxTmn9xZvU15RqXq0j9PF/5yl16+boCFd2iohNkpZBcWKi47UPe8t18Xje2lQapIy84r1+7cW69jkDJ13WtXjsvbmFmlLRr4KS8o0a90ejeuTosFdkhQdGaHYqAgVlnjjzsL/5m/Xp6uszGl8FfW6oLhUaSt2at7GjNClkq49tr+++G6nUhJiQicxb3tridrHR4cm6dqTU6hHvlitH4zurpU7cjR5UEd1Stw35mz97lwt3JyhI3q1D01yVP7ZsXpntjLzi3VEr/b6dPlOHdUvJXTZlcz8Yt33wXLdfOLg0Pv3V/9dqG2Z+TpuSKqGdklSQUmpZq1L1+Hd2+ml2Rt10wmDdFj3doqOjAi9bnlFJd6kTWZ64ZsNmjqksyQv1L02d7PG9G6vt+Zv0aheyRrTu72WbMnSsYM6ycmr47PWpiu3qERLtmQqOjIiFDAXbMrQL08arNzCEm3PKtCRffZNzlJcWqas/OIahxYFqbmFuvMknVwp1I1zzv2s0nrXSLrGvztY0oomLWjtdJRU8+kRoPFRD9FcUBfRHFAP0RxQD9EYejvnqjxLFMQlDTZL6hl2v4ek/foPOOeelPRkUxWqLsxsTnVpGWgq1EM0F9RFNAfUQzQH1EM0tYO/QEX9fStpoJn1NbMYSRdKejuAcgAAAABAi9fkLXXOuRIzu0HSR/IuafCUc652Fy4DAAAAAFQQRPdLOefel1T1RT9almbdPRStBvUQzQV1Ec0B9RDNAfUQTSqQi48DAAAAABpGEGPqAAAAAAANhFBXB2Z2ipmtMLPVZnZL0OXBoc/M1pvZYjNbYGZz/GUpZvaJma3yf7cPW/93fv1cYWYnB1dytGRm9pSZ7TSzJWHLDrremdkYv/6uNrOH7VC4+CCaTDX18A4z2+J/Ji4ws9PCHqMeosGZWU8z+8LMlpvZUjP7hb+cz0Q0C4S6g2RmkZIelXSqpGGSLjKzYcGWCq3EVOfcqLApkm+R9JlzbqCkz/z78uvjhZKGSzpF0j/8egscrGfk1aFwdal3j8m77uhA/6fyPoGaPKOq68zf/c/EUf5YfeohGlOJpF8654ZKOkrS9X594zMRzQKh7uCNk7TaObfWOVck6WVJZwZcJrROZ0p61r/9rKSzwpa/7JwrdM6tk7RaXr0FDopzbrqk9EqLD6remVlXSW2dczOdN4j7ubBtgAOqph5Wh3qIRuGc2+acm+ffzpa0XFJ38ZmIZoJQd/C6S9oUdn+zvwxoTE7Sx2Y218yu8ZelOue2Sd4/G0md/eXUUTSmg6133f3blZcD9XWDmS3yu2eWd3mjHqLRmVkfSaMlzRKfiWgmCHUHr6p+z0whisZ2tHPuCHndfq83s8k1rEsdRRCqq3fURzSGxyT1lzRK0jZJ9/vLqYdoVGaWKOl1STc657JqWrWKZdRFNBpC3cHbLKln2P0ekrYGVBa0Es65rf7vnZLelNedcoffjUP+753+6tRRNKaDrXeb/duVlwN15pzb4Zwrdc6VSfqn9nUxpx6i0ZhZtLxA94Jz7g1/MZ+JaBYIdQfvW0kDzayvmcXIGwT7dsBlwiHMzBLMLKn8tqSTJC2RV+8u91e7XNL//NtvS7rQzGLNrK+8Qdizm7bUOIQdVL3zuyNlm9lR/gxvPwzbBqiT8i/Rvh/I+0yUqIdoJH69+bek5c65B8Ie4jMRzUJU0AVoaZxzJWZ2g6SPJEVKeso5tzTgYuHQlirpTX/G4yhJLzrnPjSzbyW9amZXStoo6TxJcs4tNbNXJS2TN1vX9c650mCKjpbMzF6SNEVSRzPbLOmPku7Twde76+TNYBgn6QP/B6iVaurhFDMbJa/b2npJ10rUQzSqoyVdJmmxmS3wl90qPhPRTJg38Q4AAAAAoCWi+yUAAAAAtGCEOgAAAABowQh1AAAAANCCEeoAAAAAoAUj1AEAAABAC0aoAwA0a2bWx8yWVFp2h5n96iD3s97MOh5gnVvrUL4zzGy+mS00s2Vmdq2//CwzG3aw+wMA4GAR6gAA2OegQp2ZRUt6UtL3nHMjJY2WlOY/fJYkQh0AoNER6gAALZqZpZnZg2b2tZktMbNx/vIOZvax34r2hCQL2+YtM5trZkvN7Bp/2X2S4sxsgZm94C+71Mxm+8ueMLPISodPkhQlaY8kOecKnXMrzGyipO9L+pu/bX//50P/uF+a2RD/GM+Y2eP+spVmdoa/fHjYsReZ2cBGfSIBAC0WoQ4AcChIcM5NlPRTSU/5y/4oaYZzbrSktyX1Clv/x865MZLGSvq5mXVwzt0iKd85N8o5d4mZDZV0gaSjnXOjJJVKuiT8oM65dH/fG8zsJTO7xMwinHNf+8t/7e9vjbwWvZ/5x/2VpH+E7aqPpGMlnS7pcTNrI+knkh7yjz1W0uYGeJ4AAIegqKALAADAAbhaLH9Jkpxz082srZklS5os6Wx/+Xtmtjds/Z+b2Q/82z0lDZTf2hbmeEljJH1rZpIUJ2nnfoVw7iozO1zSCfLC2omSrghfx8wSJU2U9F9/X5IUG7bKq865MkmrzGytpCGSZkr6vZn1kPSGc25VNc8DAKCVI9QBAJq7PZLaV1qWImld2P3Kwc9Vs1xmNkVeAJvgnMszszRJbao4rkl61jn3uwMV0Dm3WNJiM3veL9cVlVaJkJTht7pVuYv9d+leNLNZ8lrvPjKzq5xznx+oLACA1ofulwCAZs05lyNpm5kdL0lmliLpFEkzwla7wH9skqRM51ympOnyu0ua2anaFwzbSdrrB7ohko4K20+xP/mJJH0m6Vwz61x+XDPrHV42M0v0Q2K5UZI2+Lez5Y25k3MuS9I6MzvP387MbGTYdueZWYSZ9ZfUT9IKM+snaa1z7mF5XTlH1Ob5AgC0PoQ6AEBL8ENJfzCzBZI+l3SnP06t3F4z+1rS45Ku9JfdKWmymc2TdJKkjf7yDyVFmdkiSXdJ+iZsP09KWmRmLzjnlkn6g6SP/XU/kdS1UrlM0m/MbIVftju1r5XuZUm/9idq6S8vYF5pZgslLZV0Zth+VkiaJukDST9xzhXIC6pL/P0OkfRcbZ8sAEDrYs5VN1QBAIDmz+8++Svn3Jygy1IXZvaMpHedc68FXRYAQMtESx0AAAAAtGC01AEAAABAC0ZLHQAAAAC0YIQ6AAAAAGjBCHUAAAAA0IIR6gAAAACgBSPUAQAAAEALRqgDAAAAgBbs/wMeGURVPCAXoAAAAABJRU5ErkJggg==\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_loss(adagrad_loss, 'Adagrad with lr=1e-2, init_acc_sqr_grad=0, eps=1e-10')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see there's an initial large spike in the loss value. This is due to the initial $G$ values being very small and thus the learning rate is divided by a very small number making it very large. Very large learning rates usually lead to unstable training which give higher loss values.\n", "\n", "Let's trim the start to get a better view what the final loss value is." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_loss(adagrad_loss, 'Adagrad with lr=1e-2, init_acc_sqr_grad=0, eps=1e-10', ymax=5.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's compare our Adagrad loss to our SGD algorithms." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "losses = [sgd_loss, sgd_momentum_loss, adagrad_loss]\n", "labels = ['sgd', 'sgd_momentum', 'adagrad_loss']\n", "\n", "plot_losses(losses, labels, 'SGD vs. SGDMomentum vs. Adagrad')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Adagrad beats the other two pretty handily, but that initial spike in loss doesn't look very nice. Maybe if we get rid of that initial spike we can make Adagrad perform even better? Let's try some different initial values for $G$ and store them all in a `adagrad_losses` dictionary. Each key in the dictionary will be the initial $G$ value and the values of the dictionary will be a list of training loss per batch." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "adagrad_losses = {0: adagrad_loss}" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "optimizer = Adagrad(model.parameters(), init_acc_sqr_grad=1.0)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 41.38it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 41.22it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.77it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.29it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.53it/s]\n" ] } ], "source": [ "adagrad_losses[1.0] = train(train_iterator, model, optimizer, criterion, device)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "optimizer = Adagrad(model.parameters(), init_acc_sqr_grad=0.1)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.12it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.52it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.27it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 41.05it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.42it/s]\n" ] } ], "source": [ "adagrad_losses[0.1] = train(train_iterator, model, optimizer, criterion, device)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "optimizer = Adagrad(model.parameters(), init_acc_sqr_grad=0.01)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 41.38it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.89it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 41.42it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 41.25it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.26it/s]\n" ] } ], "source": [ "adagrad_losses[0.01] = train(train_iterator, model, optimizer, criterion, device)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "optimizer = Adagrad(model.parameters(), init_acc_sqr_grad=0.001)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.11it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.13it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.25it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:12<00:00, 38.36it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 39.75it/s]\n" ] } ], "source": [ "adagrad_losses[0.001] = train(train_iterator, model, optimizer, criterion, device)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's compare all of our four values for the initial $G$ value." ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "labels, losses = zip(*adagrad_losses.items())\n", "\n", "plot_losses(losses, labels, 'Adagrad init_acc_sqr_grad Value Comparison', ymax=5.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see, performance of Adagrad increases as the initial $G$ value decreases, but decreasing $G$ also increases the initial spike in loss at the beginning of training.\n", "\n", "Why does the performance decrease as the initial $G$ value increases? This is the major downside of Adagrad: as $G$ is monotonically increasing at each time-step it will be dividing the learning rate by a monotonically increasing number at each time-step. This causes the size of the steps taken to reduce every update step. As the results for an initial $G$ value of 1.0 show, we can see that these smaller step sizes actually increase the time taken for the model to converge, and in extreme cases will cause the step sizes to approach zero meaning the parameters will stop updating completely. \n", "\n", "In practice, we do want the learning rate to decrease whilst training, but ideally would not want it to become zero. \n", "\n", "Let's compare Adagrad against the SGD optimizers with the large initial spike trimmed off, so we can get a better view of how they compare." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "losses = [sgd_loss, sgd_momentum_loss, adagrad_loss]\n", "labels = ['sgd', 'sgd momentum', 'adagrad']\n", "\n", "plot_losses(losses, labels, 'SGD Optimizers vs. Adagrad', ymax=5.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Optimizer 4: Adadelta\n", "\n", "All of our update step equations can be written in the form of:\n", "\n", "$$\\theta_{t+1,i} = \\theta_{t,i} + \\Delta \\theta_{t,i}$$\n", "\n", "where $\\Delta \\theta_{t,i}$ is the size of the parameter update, i.e. in SGD we had: \n", "\n", "$$\\Delta \\theta_{t,i} = - \\eta \\cdot \\nabla_\\theta J(\\theta_{t,i})$$\n", "\n", "and in Adagrad we had: \n", "\n", "$$\\Delta \\theta_{t,i} = - \\frac{\\eta}{\\sqrt{G_{t,i}}+\\epsilon} \\cdot \\nabla_\\theta J(\\theta_{t,i}))$$\n", "\n", "The problem of the Adagrad algorithm was that $G$ was monotonically increasing. Adadelta solves this problem by first taking the Adagrad algorithm and replacing $G_{t,i}$ with $E[g^2]_{t,i}$, an exponential moving average of the square of the gradients so far.\n", "\n", "$$E[g^2]_{t,i} = \\rho E[g^2]_{t-1,i} + (1-\\rho)g^2_{t,i}$$\n", "\n", "where $g_{t,i} = \\nabla_\\theta J(\\theta_{t,i})$, which we've done just to simplify the notation, and $\\rho$ controls how much we care about the previous gradients in the exponential moving average, $\\rho=0$ means we don't care about them at all.\n", "\n", "This means our update step equation is:\n", "\n", "$$\\Delta \\theta_t = - \\frac{\\eta}{\\sqrt{E[g^2]_{t,i} + \\epsilon}} \\cdot g_{t,i}$$\n", "\n", "Notice that the $\\epsilon$ term has now moved inside the square root, which we're copying from PyTorch. \n", "\n", "The problem with the above equation, and in fact all update equations seen so far, is the units of the update do not match the units of the parameters. The updates have units of $\\frac{\\delta J}{\\delta \\theta}$, which simplify to $\\frac{1}{\\text{units of }\\theta}$ if we assume the cost function is unitless. However, we want our update equations to have units of $\\theta$. \n", "\n", "To solve this the Adadelta equation uses a second exponential moving average, but this one is of the parameter updates.\n", "\n", "To get the final Adadelta equation, we take our first attempt, but replace $\\eta$ with an exponential moving average of the squared parameter updates:\n", "\n", "$$E[\\Delta \\theta^2]_{t-1,i} = \\rho E[\\Delta \\theta^2]_{t-2,i} + (1-\\rho)\\Delta \\theta^2_{t-1,i}$$\n", "\n", "Thus, we get:\n", "\n", "$$\\Delta \\theta_{t,i} = - \\frac{\\sqrt{E[\\Delta \\theta^2]_{t-1,i} + \\epsilon}}{\\sqrt{E[g^2]_{t,i}+\\epsilon}} \\cdot g_{t,i}$$\n", "\n", "The units now \"match\" as we now have units of $\\frac{\\theta^2}{\\theta} = \\theta$.\n", "\n", "This means that we do not even need to use a learning rate value, however in the PyTorch implementation they do use one (which defaults to 1.0), so they end up with:\n", "\n", "$$\\Delta \\theta_{t,i} = - \\eta \\cdot \\frac{\\sqrt{E[\\Delta \\theta^2]_{t-1,i} + \\epsilon}}{\\sqrt{E[g^2]_{t,i}+\\epsilon}} \\cdot g_{t,i}$$\n", "\n", "Thus:\n", "\n", "$$\\theta_{t+1,i} = \\theta_{t,i} - \\eta \\cdot \\frac{\\sqrt{E[\\Delta \\theta^2]_{t-1,i} + \\epsilon}}{\\sqrt{E[g^2]_{t,i}+\\epsilon}} \\cdot g_{t,i}$$\n", "\n", "PyTorch also changes default `eps` value from what it was in Adagrad, from `1e-10` to `1e-6`." ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "class Adadelta:\n", " def __init__(self, model_params, lr=1.0, rho=0.9, eps=1e-6):\n", " self.model_params = list(model_params)\n", " self.lr = lr\n", " self.rho = rho\n", " self.eps = eps\n", " self.avg_sqr_grads = [torch.zeros_like(p) for p in self.model_params]\n", " self.avg_sqr_deltas = [torch.zeros_like(p) for p in self.model_params] \n", "\n", " def zero_grad(self):\n", " for param in self.model_params:\n", " param.grad = None\n", "\n", " @torch.no_grad()\n", " def step(self):\n", " for param, avg_sqr_grad, avg_sqr_delta in zip(self.model_params, \\\n", " self.avg_sqr_grads, \\\n", " self.avg_sqr_deltas):\n", " avg_sqr_grad.mul_(self.rho).add_(param.grad * param.grad * (1 - self.rho))\n", " std = avg_sqr_grad.add(self.eps).sqrt()\n", " delta = avg_sqr_delta.add(self.eps).sqrt().div(std).mul(param.grad)\n", " param.sub_(self.lr * delta)\n", " avg_sqr_delta.mul_(self.rho).add_(delta * delta * (1 - self.rho))" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "optimizer = Adadelta(model.parameters())" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████| 469/469 [00:12<00:00, 38.73it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:12<00:00, 38.72it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 39.21it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:12<00:00, 38.87it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 41.21it/s]\n" ] } ], "source": [ "adadelta_loss = train(train_iterator, model, optimizer, criterion, device)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_loss(adadelta_loss, 'Adadelta with lr=1.0, rho=0.9, eps=1e-6')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that we avoid the large initial spike in loss due to the numerator term (the exponential moving average of parameter updates) starting out very small. \n", "\n", "Let's compare Adadelta to all the other algorithms so far." ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "losses = [sgd_loss, sgd_momentum_loss, adagrad_loss, adadelta_loss]\n", "labels = ['sgd', 'sgd momentum', 'adagrad', 'adadelta']\n", "\n", "plot_losses(losses, labels, 'SGD vs. SGD Momentum vs. Adagrad vs. Adadelta', ymax=5.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that Adagrad and Adadelta have pretty much equal performance, but Adadelta doesn't have the large initial spike in loss.\n", "\n", "## Optimizer 5: RMSprop\n", "\n", "Remember that \"first attempt\" at the Adadelta equation? The one that we said had the issue of the update units not matching the parameter units? Turns out you can completely ignore the fact that these units don't match up and this gives you the RMSprop algorithm!\n", "\n", "$$\\theta_{t+1} = \\theta_t - \\frac{\\eta}{\\sqrt{E[g^2]_{t,i} + \\epsilon}} \\cdot g_{t,i}$$\n", "\n", "In PyTorch, they move the $\\epsilon$ term back outside of the square root, similar to Adagrad. This gives us:\n", "\n", "$$\\theta_{t+1} = \\theta_t - \\frac{\\eta}{\\sqrt{E[g^2]_{t,i}} + \\epsilon} \\cdot g_{t,i}$$\n", "\n", "In the PyTorch implementation they also change the default learning rate to `1e-2`, rename `rho` to `alpha` whilst giving it a new default value of `0.99`, and also change the default `eps` to `1e-8`." ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "class RMSprop:\n", " def __init__(self, model_params, lr=1e-2, alpha=0.99, eps=1e-8):\n", " self.model_params = list(model_params)\n", " self.lr = lr\n", " self.alpha = alpha\n", " self.eps = eps\n", " self.avg_sqr_grads = [torch.zeros_like(p) for p in self.model_params]\n", "\n", " def zero_grad(self):\n", " for param in self.model_params:\n", " param.grad = None\n", "\n", " @torch.no_grad()\n", " def step(self):\n", " for param, avg_sqr_grad in zip(self.model_params, self.avg_sqr_grads):\n", " avg_sqr_grad.mul_(self.alpha).add_(param.grad * param.grad * (1 - self.alpha))\n", " std = avg_sqr_grad.sqrt().add(self.eps)\n", " param.sub_((self.lr / std) * param.grad)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [], "source": [ "optimizer = RMSprop(model.parameters())" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 39.85it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 41.00it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 39.30it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.98it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.14it/s]\n" ] } ], "source": [ "rmsprop_loss = train(train_iterator, model, optimizer, criterion, device)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_loss(rmsprop_loss, 'RMSprop with lr=1e-2, alpha=0.99, eps=1e-8')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We run into a similar issue as we did with Adagrad, the small denominator in the initial time-steps lead to large step sizes which give huge spikes in loss values during the early stages of training.\n", "\n", "Let's zoom in to the interesting bit to get a better view of what's going on." ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_loss(rmsprop_loss, 'RMSprop with lr=1e-2, alpha=0.99, eps=1e-8', ymax=5.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One thing to note is that the PyTorch implementation of RMSprop differs from the TensorFlow implementation in two main ways. In TensorFlow the $\\epsilon$ term is inside the square root, as it is in the initial RMSprop algorithm, and the exponential moving average of the squared gradients is initialized to ones instead of zeros. \n", "\n", "This TensorFlow variant is [apparently more stable](https://github.com/pytorch/pytorch/issues/23796) than the PyTorch version, so we'll implement it here and see if it provides any noticeable improvement." ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "class RMSpropAlt:\n", " def __init__(self, model_params, lr=1e-2, alpha=0.99, eps=1e-8):\n", " self.model_params = list(model_params)\n", " self.lr = lr\n", " self.alpha = alpha\n", " self.eps = eps\n", " self.avg_sqr_grads = [torch.ones_like(p) for p in self.model_params]\n", "\n", " def zero_grad(self):\n", " for param in self.model_params:\n", " param.grad = None\n", "\n", " @torch.no_grad()\n", " def step(self):\n", " for param, avg_sqr_grad in zip(self.model_params, self.avg_sqr_grads):\n", " avg_sqr_grad.mul_(self.alpha).add_(param.grad * param.grad * (1 - self.alpha))\n", " std = avg_sqr_grad.add(self.eps).sqrt()\n", " param.sub_((self.lr / std) * param.grad)" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.99it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 41.51it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.02it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.09it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 39.85it/s]\n" ] } ], "source": [ "optimizer = RMSpropAlt(model.parameters())\n", "rmspropalt_loss = train(train_iterator, model, optimizer, criterion, device)" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_loss(rmspropalt_loss, 'RMSpropAlt with lr=1e-2, alpha=0.99, eps=1e-8')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The TensorFlow variant doesn't have the large initial spikes in loss, but it actually looks **less** stable than the PyTorch RMSprop implementation, even when ignoring the large spikes during training.\n", "\n", "Let's compare the two." ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "losses = [rmsprop_loss, rmspropalt_loss]\n", "labels = ['rmsprop', 'rmspropalt']\n", "\n", "plot_losses(losses, labels, 'RMSprop vs. RMSpropAlt', ymax=5.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The TensorFlow variant is definitely less stable. However, this is an experiment with a sample size of one, so we can't make any general claims about these two RMSprop versions.\n", "\n", "Let's do a quick comparison of these two against Adagrad and Adadelta:" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "losses = [adagrad_loss, adadelta_loss, rmsprop_loss, rmspropalt_loss]\n", "labels = ['adagrad', 'adadelta', 'rmsprop', 'rmspropalt']\n", "\n", "plot_losses(losses, labels, 'Adagrad vs. Adadelta vs. RMSprop vs. RMSpropAlt', ymax=5.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that both RMSprop variants aren't as good as Adagrad or Adadelta.\n", "\n", "RMSprop is commonly used in reinforcement learning and one hyperparameter that's tweaked a lot is the `eps` parameter. Let's try a few values and see if they make any difference in our experimental set-up." ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [], "source": [ "rmsprop_losses = {1e-8: rmsprop_loss}" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [], "source": [ "optimizer = RMSprop(model.parameters(), eps=1e-6)" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 39.67it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 42.08it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 41.83it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.88it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.18it/s]\n" ] } ], "source": [ "rmsprop_losses[1e-6] = train(train_iterator, model, optimizer, criterion, device)" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [], "source": [ "optimizer = RMSprop(model.parameters(), eps=1e-4)" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.21it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.42it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 39.12it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 39.15it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 39.80it/s]\n" ] } ], "source": [ "rmsprop_losses[1e-4] = train(train_iterator, model, optimizer, criterion, device)" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [], "source": [ "optimizer = RMSprop(model.parameters(), eps=1e-2)" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.13it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 39.95it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.82it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 39.29it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.65it/s]\n" ] } ], "source": [ "rmsprop_losses[1e-2] = train(train_iterator, model, optimizer, criterion, device)" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [], "source": [ "optimizer = RMSprop(model.parameters(), eps=1)" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.52it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.88it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 41.76it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 41.82it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.70it/s]\n" ] } ], "source": [ "rmsprop_losses[1] = train(train_iterator, model, optimizer, criterion, device)" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "labels, losses = zip(*rmsprop_losses.items())\n", "\n", "plot_losses(losses, labels, 'RMSprop eps Value Comparison', ymax=5.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Increasing `eps` improves performance to a point, `eps=1e-2` gives the best performance, and then performance starts degrading, `eps=1` gives the worst performance.\n", "\n", "Let's try the same thing with the TensorFlow variant of RMSprop." ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [], "source": [ "rmspropalt_losses = {1e-8: rmspropalt_loss}" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [], "source": [ "optimizer = RMSpropAlt(model.parameters(), eps=1e-6)" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 39.87it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 41.77it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 41.08it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.60it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.05it/s]\n" ] } ], "source": [ "rmspropalt_losses[1e-6] = train(train_iterator, model, optimizer, criterion, device)" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [], "source": [ "optimizer = RMSpropAlt(model.parameters(), eps=1e-4)" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.23it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 42.29it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.41it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.60it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 39.96it/s]\n" ] } ], "source": [ "rmspropalt_losses[1e-4] = train(train_iterator, model, optimizer, criterion, device)" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [], "source": [ "optimizer = RMSpropAlt(model.parameters(), eps=1e-2)" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.50it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:12<00:00, 39.06it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 39.50it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 39.30it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.96it/s]\n" ] } ], "source": [ "rmspropalt_losses[1e-2] = train(train_iterator, model, optimizer, criterion, device)" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [], "source": [ "optimizer = RMSpropAlt(model.parameters(), eps=1)" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.63it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 42.07it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.63it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 41.08it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 41.81it/s]\n" ] } ], "source": [ "rmspropalt_losses[1] = train(train_iterator, model, optimizer, criterion, device)" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "labels, losses = zip(*rmspropalt_losses.items())\n", "\n", "plot_losses(losses, labels, 'RMSpropAlt eps Value Comparison', ymax=5.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We get a similar thing happening here, it looks like the best `eps` value is also around `1e-2`.\n", "\n", "Let's compare the two RMSprop variants with an `eps=1e-2`." ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "losses = [rmsprop_losses[1e-2], rmspropalt_losses[1e-2]]\n", "labels = ['rmsprop', 'rmspropalt']\n", "\n", "plot_losses(losses, labels, 'RMSprop vs. RMSpropAlt, both with eps=1e-2', ymax=5.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks like the PyTorch variant of RMSprop is still better (converges to the minimum loss faster), so now let's compare it against Adagrad and Adadelta again." ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "losses = [adagrad_loss, adadelta_loss, rmsprop_losses[1e-2]]\n", "labels = ['adagrad', 'adadelta', 'rmsprop']\n", "\n", "plot_losses(losses, labels, 'Adagrad vs. Adadelta vs. RMSprop', ymax=5.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "They're all very close, maybe RMSprop is slightly worse?\n", "\n", "Let's zoom in." ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [ { "data": { "image/png": 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YJSUlAICysjL8+Mc/xtixY3HvvfdixIgRKC8vR25uLk444QQ88MADGDt2LPLz83H//fdj3LhxOOmkk/DUU09pdc+dOxejRo3CueeeixkzZiT9OEngpRDPFjybROf69YAcRVP/myAIgiAIgiAIb7z33ntYt24d1q5di1deeQWFhYV46qmnsGzZMnz77bfYvn27Vvbcc8/FypUrsWHDBtx000144YUXAABPP/00fvSjH2H9+vW45pprkJeXp22za9cu3H777diwYQNGjBiBv//971i7di02b96MRYsWYfPmzWhubsbdd9+NWbNmYcmSJTh06FDSj5PSJKQQ8xw8R9Q0eHoLHrefl0cQBEEQBEEQnY2nZ23D9qLapNZ54hE98dTPTnIt98orr+CLL74AAOTn52PKlCnIzs7GgAEDAAA33ngjdu/eDUBO7XDjjTeiuLgYoVBIS1OwdOlSrY5LL70Uffr00eofMWIEzjrrLO33tGnTMHHiREQiERQXF2P79u2QJAlHHXUUjj32WADArbfeqlkTkwVZ8FJIwOft9BpcNHXz8chFkyAIgiAIgiBaT05ODhYsWIAVK1Zg06ZNOO200zBq1CjbGBcPPfQQHnzwQWzZsgX/+9//tFQFTp503bp10/4+cOAAXnzxRSxcuBCbN2/GFVdcodWR6rgaZMFLIQGvc/C4MXm5xCX4mT+23hxFkwQeQRAEQRAE0QnxYmlLBTU1NejTpw+ysrKwc+dOrFy5Ek1NTcjJyUFFRQV69uyJzz77DKeccopWfujQoQCAyZMna/Wce+65mDZtGh577DHMnz8fVVVVwv3V1taiW7du6NWrF0pKSjBnzhxkZ2dj1KhROHDgAPbt24djjjkGH3/8cdKPlSx4KcSri6beagcI5uEpq9Q5eKTvCIIgCIIgCMI7l156KSKRCMaMGYMnnngCZ511FoYMGYIJEybg7LPPxsUXX4yxY8dq5SdMmIDrr78e5513Hvr3768tf+qppzB//nyMHTsWc+bMwZAhQ9CjRw/L/k455RScdtppOOmkk/CrX/0K55xzDgAgIyMDEydOxBVXXIFzzz0XI0aMSPqxkgUvhcQTZEWfHkH7W52XR4qOIAiCIAiCIBImPT0dc+bMsSzPzs7GnXfeaVl+1VVX4aqrrrIs79WrF+bNm4dAIIAVK1bg+++/R3p6OkaOHImtW7cayk6aNEnYlksvvRQ7d+5M7EA8QAIvhfjjmIOnJypFAT/NwSMIgiAIgiCIjkReXh5uuOEGSJKEtLQ0vP322+3dJAsk8FKIVwseAMscPMM6rvloApzSJBAEQRAEQRBEe3Dsscdiw4YN7d0MR2gOXgrxOgevIdwgnIOnj6yphyx4BEEQBEEQBEGIIIGXQrxa8Kqaq4wWPMlkwSNBRxAEQRAEQRCEB0jgpRCvFrzqlmqDiIvyKAB7V0wSfARBEARBEARBiCCBl0K85sGrbK40pD6wm4OnpkmgOXgEQRAEQRAEQYgggZdCvEbRrA/VC4OskKWOIAiCIAiCINqGSZMm4cEHH4xrm5EjR6K8vNxTmerqarzxxhutaaInSOClEK9z8CI8gqZIk/bbbMFT0Sx4JPwIgiAIgiAIolNBAq8L4HUOHgDUheq0v9U5eCok6AiCIAiCIAiidVx99dU4/fTTcdJJJ2HixIkAgPfffx/HHXccLrjgAixbtkwrO2vWLIwfPx6nnXYaLr74YpSUlAAAKioqcMkll+C0007Dvffea5g69eGHH+LMM8/EqaeeinvvvRfRqLFP//jjj2Pfvn049dRT8eijj6K+vh4XXXQRxo4di9GjR+PLL79MynGSwEshXix4T579JABgccFibZnmoqncMOY5dzQHjyAIgiAIgiDi47333sO6deuwdu1avPLKKygsLMRTTz2FZcuW4dtvv8X27du1sueeey5WrlyJDRs24KabbsILL7wAAHj66adx7rnnYsOGDbjyyiuRl5cHANixYwc+/fRTLFu2DBs3boTf78dHH31k2P8///lPHHPMMdi4cSP+9a9/ISMjA1988QXWr1+P77//Hn/4wx+S0s+nROcpxIsFr0ewBwCgPlyvLXOz4JFFjyAIgiAIguiUzHkcOLQluXUOHg1c9k/XYq+88gq++OILAEB+fj6mTJmC7OxsDBgwAABw4403Yvfu3QCAgoIC3HjjjSguLkYoFMJRRx0FAFi8eDFmzJgBALjiiivQp08fAMDChQuxbt06nHHGGQCApqYmDBw40LE9nHP8+c9/xuLFi+Hz+VBYWIiSkhIMHjw4gZMQgwReCmHMXeD5kW5ZplnuTEJOrY8seARBEARBEAThnZycHCxYsAArVqxAVlYWsrOzMWrUKOzYsUNY/qGHHsIjjzyCK6+8Ejk5OZgwYYK2TtTH55zjjjvuwD/+8Q/Pbfroo49QVlaGdevWIRgMYuTIkWhubo772MyQwEshXoTYfVM2IWuEcZk5Dx5Z7AiCIAiCIIgugQdLWyqoqalBnz59kJWVhZ07d2LlypVoampCTk4OKioq0LNnT3z22Wc45ZRTtPJDhw4FAEyePFmr5/zzz8dHH32Ev/71r5gzZw6qqqoAABdddBGuuuoq/P73v8fAgQNRWVmJuro6jBgR6+j36NEDdXV1hjYNHDgQwWAQ33//PQ4ePJiUY6U5eO2O37JEnYMXkkLyApO+I8FHEARBEARBEN659NJLEYlEMGbMGDzxxBM466yzMGTIEEyYMAFnn302Lr74YowdO1YrP2HCBFx//fU477zz0L9/f235U089hcWLF2Ps2LGYP38+hg8fDgA48cQT8eyzz+KSSy7BmDFj8OMf/xjFxcWGNvTr1w/nnHMOTj75ZDz66KO45ZZbsHbtWowbNw4fffQRRo0alZRjJQteO8O5VeABQFVzVawMCTqCIAiCIAiCSJj09HTMmTPHsjw7Oxt33nmnZflVV12Fq666yrK8X79+mD9/vvb73//+t/b3jTfeiBtvvNGyTW5urvb31KlTDetWrFjhqf3xQBa89oZbLwEHR1VLlWW5lgeP5uARBEEQBEEQBCGABF57I7DgSVzSxBxAgo4gCIIgCIIgCG+QwGtvBAKPg8PHfIbf5vUEQRAEQRAEQRBmSOClEC8yjIsuAYfRgqfUpKVJIIFHEARBEARBEIQAEnhtRBnvJV5h46JpTnZu2IRcNgmCIAiCIAiCEEACr434b+Ra8QobF82oFBN4ZkFHFjyCIAiCIAiCIESQwEslOh0m2Z1qmyiaThY8giAIgiAIgiAIESTw2oiozakWzcHj3EXgkQGPIAiCIAiCIBKCcw5JklK6j2i0/Yw1JPDaCEkXNMWAFxdNiqJJEARBEARBEAmTm5uLE044AQ888AD69u2LY445BnfddRdOPvlk3HLLLViwYAHOOeccHHvssVi9ejUAYNGiRTj11FNx6qmn4rTTTkNdXR1ycnJw/vnn45prrsGJJ56I++67TxOL3bt3x5NPPonx48djxYoVePnll3HyySfj5JNPxn/+8x+tHaNGjcIdd9yBMWPG4LrrrkNjY2NSj5UEXhsRFbhiAhC7aJoseOocPC3ROQk8giAIgiAIgoiLXbt24fbbb8eGDRuQn5+P3/3ud9i8eTN27tyJqVOnYunSpXjxxRfx3HPPAQBefPFFvP7669i4cSOWLFmCzMxMAMDq1avx0ksvYcuWLdi3bx9mzJgBAGhoaMDJJ5+MVatWITMzE++//z5WrVqFlStX4u2338aGDRu0dtxzzz3YvHkzevbsiTfeeCOpxxlIam2ELRHbUy2egxeRIobfBEEQBEEQBNHZeX7189hZuTOpdY7qOwqPnfmYa7kRI0bgrLPOQm5uLo466iiMHj0aAHDSSSfhoosuAmMMo0ePRm5uLgDgnHPOwSOPPIJbbrkF1157LYYNGwYAOPPMM3H00UcDAH7xi19g6dKluO666+D3+/Hzn/8cALB06VJcc8016NatGwDg2muvxZIlS3DllVfiyCOPxDnnnAMAuPXWW/HKK6/g//7v/5J2PsiCl0L0wqwJaZb1jbn3Ci14EpcgcXu/YNWit7xwOUoaSpLQUoIgCIIgCILo2qhiCwDS09O1v30+n/bb5/MhEpENLY8//jjeeecdNDU14ayzzsLOnbIwVXNTq6i/MzIy4PfL06+c0prZbZ8syILXRjQh3bIs2jTStnyE6yx4XJzo/N4F96JvRl8sunFREltKEARBEARBEKnBi6Wto7Bv3z6MHj0ao0ePxooVK7Bz50707t0bq1evxoEDBzBixAh8+umnuOeeeyzbnn/++fjlL3+Jxx9/HJxzfPHFF5gyZQoAIC8vDytWrMDZZ5+Njz/+GOeee25S200WvDaiiVsteABT/pM5v7EJgDIHTxBkRZuDt/w1YIKcOL2yuTI1DSYIgiAIgiCIw5j//Oc/OPnkk3HKKacgMzMTl112GQDg7LPPxuOPP46TTz4ZRx11FK655hrLtmPHjsUvf/lLnHnmmRg/fjzuuusunHbaaQCAE044AZMnT8aYMWNQWVmJ+++/P6ntJgteGxH2cKp9iqVOgiRMk6AJvAOLk9s4giAIgiAIgujCjBw5Elu3brX8DQCTJk0Slnv11VeFdWVlZeHTTz+1LK+vrzf8fuSRR/DII49Yyvl8Prz11ltxH4NXyILXRnC7NAk61IthmwdPqUJKrpsuQRAEQRAEQRBdBLLgtRFe4mBqAs+cB0+x7PmYz3NdBEEQBEEQBEEkl+zsbGRnZye8vdl6mArIgtdGOFnwOJfXqS6a4DDmwTPNwbOPr0kQBEEQBEEQxOFMSgUeY+xSxtguxthextjjgvW9GGOzGGObGGPbGGN3prI9bY0xOqqTX6V8GfzKL9c5eElpHUEQBEEQBEG0DU5pAwh7EjlvKRN4jDE/gNcBXAbgRAC/YIydaCr2GwDbOeenAMgG8BJjTBRuslOivx6Ol0ax4KkS0DaKppImQTLlythTtae1TSUIgiAIgiCIlJCRkYGKigoSeXHCOUdFRQUyMjLi2i6Vc/DOBLCXc74fABhjnwC4CsB2XRkOoAeTlUt3AJUAIuaKOjPnNP8Xj1w4HDxnp0MpWbD5NQ9NY5AVLQ+ezoKnfzxu/PpGrL9tfRJbTRAEQRAEQRDJYdiwYSgoKEBZWVl7N6XTkZGRgWHDhsW1TSoF3lAA+brfBQDGm8q8BuArAEUAegC4kXNumWLGGLsHwD0AMGjQIOTk5KSiva2ivr7e0q6y8mYUYgDWF0cd5+AFuYQIAJ8i2zZv3ozqaLW2ftOmTWjZ3YJwOAxAnoOnF3hhKdwhzwnRPojuRYJoa+g+JDoCdB8SHQG6D4nWcvDgwbjKp1LgiRSN2S77EwAbAfwIwDEAvmWMLeGc1xo24nwigIkAMG7cON6ayDWpIicnxxJR55P8dUDJIRx33LFYu2uv7baZCKMOPs1f9uTRJ6OkoQRYJf8ec8oY/PCIHyJ9WjrQZLXgAWhVNB+iayG6FwmiraH7kOgI0H1IdAToPiTamlQGWSkAcKTu9zDIljo9dwKYwWX2AjgAYFQK29SmnHNsfwDA0QO6OVrwVMudT3XR5BySPlamslydg8cZRdIkCIIgCIIgCMJKKi14awAcyxg7CkAhgJsA3GwqkwfgIgBLGGODABwPYH8K29Sm3Dp+OH5y0iDXsJd+7V+5oATJMAnVmiaBMp0TBEEQBEEQBGElZQKPcx5hjD0IYB5kDfMe53wbY+w+Zf1bAJ4BMIkxtgWyS+djnPPyVLWprWGMYWCPDByqaTYsn5dfiHSJ43QAg1CpWe402cZjok7+aYqiCUqVQBAEQRAEQRCElVRa8MA5nw1gtmnZW7q/iwBckso2dAQkU0jYIyKxCJm3B+ZjhtlFExySNdaMZsEDtMwKBEEQBEEQBEEQGilNdE7ImAWeniy0aBdBddHk4EYXTeVvH5NLyhY8UngEQRAEQRAEQRghgdcG9EgP2q7LRIuW/069GBKXhC6aKhIzumgyEnsEQRAEQRAEQYAEXpvQKyuIKb8+U7gui7VYo2iaLHgqsUTnzCjwGAk8giAIgiAIgiBI4LUZg3qkC5dn6lw0VaEHDmOaBAUKskIQBEEQBEEQhBMk8NqZbmjWLHdqugSJS4YgK+Y5eOZE5+SiSRAEQRAEQRAEQAKv3clkIS24CtO5aOqx5MGjOXgEQRAEQRAEQQgggddW2ETSDCKiyTPVgidMk7BjllaOg1GaBIIgCIIgCIIgLJDAa2eCiOiiaCppErhR4PGSbcCnt4I1yDngLXPwSOwRBEEQBEEQBAESeO1OEBFxFE19moRQAwCASWFlPaBXdeSiSRAEQRAEQRAEQAKv3UljEV0UTRnOTYnOlX+Z7jfNwSMIgiAIgiAIwgwJvDbDfg6ez+yiKZqDh1gQFnOQFYIgCIIgCIIgCIAEXrsTQFSLoqnOxeOcWyJpAjELngQmyJJHEARBEARBEMThDgm8NkPsRqm34KklmsIRo4sms9ZgcNFk5KJJEARBEARBEAQJvDZE7FSZhtgcPNWS99RXW1HZ2BLbUnPhlJEAg9oTzcF7Z8s7GD15tEEoEgRBEARBEATRtSGB11YEMoWLgzqB59O0GEe1TuDBZKHzMgfvv+v/q9RkU7IqF5j1MBCNuNREEARBEARBEERngQReW9H/B8DP38X7vmsNi/2Mw69Y2fQXwz2Kpi5NgoOLpq0Fb8Y9wLr3gYI1Hg+AIAiCIAiCIIiODgm8tmT0dahjPS2LVXnm06Qch+Qo8JjnKJq2Fjxt5zR/jyAIgiAIgiC6CiTw2pio4JT7lX81F03GsbmwWlfC5KIJ73nwaA4eQRAEQRAEQRw+kMBrYySdGDuD7QQA+BQRxnU67VBNo/Y3Z2p+PKWOOIxurhY8giAIgiAIgiC6DCTw2hi9wPss/W8AYhfB4JTJdMLMpNE4vIs8EngEQRAEQRAEcfhAAq+NkbhVmakumtwQRiVGbGae/NekXj0958EjF02CIAiCIAiCOHwItHcDDjckwXw5zUVT+e3PykWw55ZYAZOAizDmeQ6exCXxChJ+BEEQBEEQBNHlIAteGyMUeNo6GYO4gzjnHXdZ7x2KokkQBEEQBEEQXQUSeG2MyHBmnYNn3oYLCsSEWTRqL/FoDh5BEARBEARBHD6QwGtjogKLmV8QRVOPKtK4MQyLDpqDRxAEQRAEQRAECbw2RxKc8pgFz07hWUWajTFPsD+bOXhJoj5Uj5ZoS0r3QRAEQRAEQRCEN0jgtTFSIi6agjVe7XKptuCd/fHZuPbLa1O6D4IgCIIgCIIgvEECr43xEkXTzIq9ZZb1+jx4TlE024K8urx23T9BEARBEARBEDIk8NqY7hlByzI3C97WomqXWhNIk0DBVwiCIAiCIAiiy0ECr425L/tYyzJxenP9emuQFVGwFhGuUTQdkqQTBEEQBEEQBNG5IIHXxvTplmFZ5lc0mGSjtZhApNmVNUNRNAmCIAiCIAji8IEEXgfAB+c5eEywPmJYb4+rBY8EIEEQBEEQBEF0GUjgtTUCl8h7q2txRX0Drq+r91yNMVhLInnwyDWTIAiCIAiCILoagfZuwGEHs2rq3pKEf5ZV2GasE1nwoh6jaLpa8AiCIAiCIAiC6DKQBa+tEQg8bZXtcqtI8xxkhVwwCYIgCIIgCOKwgQReW6MTeJulo4yrbLdRRJpOrEUNHpqJWPBI+BEEQRAEQRBEV4MEXpvDdH9xLI6O9rCFyIInqtGKnQXvPn8Vrh06mNIkEARBEARBEEQXggReW6Oz4AUgIQK/6yb7BmxHmd9nkHmSTpjVR6rw+e7PhdvaWfCW+ULYk5bmrc0EQRAEQRAEQXQKSOC1NTqB50fUk8CL+MN4qn8/w7KoqczTK54WbktBVgiCIAiCIAji8IEEXlszdKz2px8SQh4DmUZhFGtRj66VFGSFIAiCIAiCIA4fSOC1Nd0HAmc/CASzEGDeXDQB6zw7u5QKZkjgEQRBEARBEMThAwm89oD5AC5hRK8gIh4teAwmC57HXZGLJkEQBEEQBEEcPpDAaw8Yk1MeNNfgpKOP9LSJDzBkNvDsoukq8CiKJkEQBEEQBEF0FUjgtQfMB0RDQKgOJxw90tMmPs4BFwteVLIulbhXZ06CIAiCIAiCIDo7JPDaBdnhEgCQ2cfzVnpbnMiC1xJtEWxDLpoEQRAEQRAEcbiQUoHHGLuUMbaLMbaXMfa4TZlsxthGxtg2xtiiVLanw6BLleBV4MkumjGxJrLLNUWarAtJ3xEEQRAEQRDEYUPKBB5jzA/gdQCXATgRwC8YYyeayvQG8AaAKznnJwG4PlXt6VDorW9p3YVFvskvwrKD+drv77plmdIkWLdpjjZblrlb8FKvAMNSGMX1xSnfD0EQBEEQBEEc7qTSgncmgL2c8/2c8xCATwBcZSpzM4AZnPM8AOCcl6awPR0InTrzi6No9pIk9JSM4quFqXPxAEkQHCUiRSzLXOfgtUEahX+s+gcumX4JalpqUr4vgiAIgiAIgjicSaXAGwogX/e7QFmm5zgAfRhjOYyxdYyx21PYno6D3kXTJxZ4foHwiiJ2waxSThxkpSPMwcvJzwEANEesFkaCIAiCIAiCIJKHtyRsiSGKv29WGwEApwO4CEAmgBWMsZWc892Gihi7B8A9ADBo0CDk5OQkv7WtpL6+3nO7hucV4Gjl7w2bt+E0QRlR+vMoOPxgiACY1z3Lsn7F6hXIS8szLFuzZg2K0ops27J+w3rU7hfM3YsTp2NvapHrX71yNXr4e7R6X4Qz8dyLBJEq6D4kOgJ0HxIdAboPibYmlQKvAIA+ydswAGalUQCgnHPeAKCBMbYYwCkADAKPcz4RwEQAGDduHM/Ozk5VmxMmJycHntu1pRw48CEA4LSx44CN1iIBgQUvAqZZ8NZnZFjWn3b6aTixnzLNcbL8z7hx43B83+OtO1DWjz31VGDE2bZN3Ve9DwOzBqJHmo0wU+pxOnY2lQEScO4556JPhveooURixHUvEkSKoPuQ6AjQfUh0BOg+JNqaVLporgFwLGPsKMZYGoCbAHxlKvMlgPMYYwHGWBaA8QB2pLBNHYO+R8f+tpmDJ7LgRRjgc/C4TGgO3vS7gKjI4VPm6i+vxl3z73Kuw4UIl+vvCO6iBEEQBEEQBNGVSZkFj3MeYYw9CGAeZL3yHud8G2PsPmX9W5zzHYyxuQA2Q478/w7nfGuq2tRhyOob+9tmDp5IeTf6nPV4lCcwB6+2ACjfDQw60bbI9ortznW4oApPSrpOEARBEARBEKkllS6a4JzPBjDbtOwt0+9/AfhXKtvR4dC7O/qCjkUZB7hoNqMAkQXPk9VMkDQ9mYiEJ0EQBEEQBEEQySelic4JG9J1ue98Adwb+j0WRccIi7I43BpFAs/b5qkVeKrlri0seGWNZRg9eTQ2lm5M+b4IgiAIgiAIoqNBAq89CKTH/vYHME86A/v5EGFRs/S6qN4+1YDIUuZJVNlY8HiSc+Qluz4Raw6tAQBM3TE15fsiCIIgCIIgiI4GCbz2RnHRtLPUmaXX0Ih9QJSEXTRtLHjJDopCQVYIgiAIgiAIIrWQwGtvbIKsaKtNmqjKb+9OKUp0nl/Z6G45Y+LbINkulW1hwSMIgiAIgiCIwxkSeO2N3yXIiun3Gc32LpphHrYse+iT9fh4db5zG9rKRZMseARBEARBEASRUkjgtTc+OeOdVxfNY0NhXN3cV1hWZMFj4NhcUJ1Q0yS0woK3eRpQbRSWlCaBIAiCIAiCIFILCbz2xiVNgvkC+cEFS2XUOXi7q3YbljsZ4mp8zNaC5ybIbC180TAw425g0hXG8m1owSNrIUEQBEEQBHE4QgKvvVHm4NnNrDMv93PYzpmL8ige+Ggdbvzqdt1SZ6Hz6MD+2l5eWPMCRk8eHdvSxUXTVkRFFVfRhjJjeZqDRxAEQRAEQRAphQRee+M2B88kigLg4MwvLBuRIpi95RDCUkhfgaM162AgqFnwpmyfYliXsAVPUgSeqZ1taVVjKc7tRxAEQRAEQRAdEecQjkTqUaxx6hy8SUUlqPbHdLfFRZMDzMVFE0wvzLjFRXNbxTZd/fJKvViTuAQf87nOwbNdH1Xa4TO2kyx4BEEQBEEQBJFayILXXpx5j/yvYj1TBd7pLS24qLFJK2Zx0QS3WMZUYnnwjMJLL6skLuGmr2/Sfgc4AM6xsniltkxNmO4qyOxWqxY8UwqIVgVtIQiCIAiCIAjCFRJ47cVlLwBPVXsoaHLR5LB10Qwpc98Yi23j77bPEF1TFW9afeAAOGpDtdoy1TXT1UXTbQ6euZ1taMCjICsEQRAEQRDE4QgJvPaCGaNX2s0Ye7Cy1vDbDw5m41nbGGm0LEvv/x0ORuZqv81WOZ9iwdOjCsKEBZ6dBY/SJHQ6yhrL8NGOj9q7GQRBEARBEIRHPAk8xlg3xuTJYoyx4xhjVzLGnKODEEnhpvo6w2+/gwWvMSxOgt7ID2l/R/cvMtYnKK8KNzcrmGOaBEDL8Weuty2gICvJ4ZGcR/DP1f9Ebk1uezeFIAiCIAiC8IBXC95iABmMsaEAFgK4E8CkVDWKsMcPDmaTJqEx0mCzVUzsSOsnW+qzWPC41YK3qniVpVZXF02TwCMLXudDdd01u/YSBEEQBEEQHROvAo9xzhsBXAvgVc75NQBOTF2zDj+YR+tWgAPqZTsqFDasawhbXTQBGOa+SRC4aJqWSZJ1Dt5d8+8ylDlQcwBF9UXi/dmkSSAIgiAIgiAIIrV4TZPAGGNnA7gFwK/j3JZIIn4AB8qbgIHWdU0RsYumOYqmsT7Zgqe3xnmJonnlzCvtG6mlSWg/F00KskIQBEEQBEEcjni14D0M4E8AvuCcb2OMHQ3g+5S16rDEmyDxcw5uM7+sycaCF0UTWqItyt/G/fhFFjw1imaiaQ3aMcgKYzT3jiAIgiAIgjh88STwOOeLOOdXcs6fV4KtlHPOf5vith1WeJUlfl1psyQsbSpBoMdmyzYl0grcOfdOACILHixz8LymSRARjobRGKqXf7SDBY+SqacGOq8EQRAEQRCdA69RNKcyxnoyxroB2A5gF2Ps0dQ27fBiNx/mqZwPAOdiOZhXl4vMYVOF67aUbwFgToEOjG5pgciC1xSKIhyNP7DGLbNvwfjlf1Aaa7TgJVUklO0CWupsV1MUzeRA57HjInEJzTZu2QRBEARBHL54ddE8kXNeC+BqALMBDAdwW6oadbix8A8X4ILbngB+/q7HLRJPX2gOshIQ5cHjUZzw5Fw8PsNqDXRjR+WO2A9TkJWkCrzXzwQ+ut52Nc3BI7o6Ty57Emd8dEZ7N4MgCIIgiA6GV6UQVPLeXQ3gS855GF4njRGuHDOgO7JHDQKOPNPjFolbVSSzO6awjLx0bW5FwvsBkJCL5rRd0zB68mhUN1e715+3wrKI5uClBhLMHY8v933Z3k0gCIIgCKID4lXg/Q9ALoBuABYzxkYAqE1Vow5bfN5yx6tBVmw8NW3ZXlRrCbIi1yHOg9dqDc/iz4P3+e7PAQCF9YX2hWg+WJtBgpkgCIIgCKJz4TXIyiuc86Gc88u5zEEAF6a4bYcfPo+ZJzwou/tPetyy7PJXlohFlkkwJepKmYz5QLm1uQBcEms7tC9ZbqCVzZV4ZsUzCEVDSamvs0MWvK7Jxzs/xpPLnmzvZhAdhPy6fHy9/+v2bgZBEATRSrwGWenFGHuZMbZW+e8lyNY8Ipn4nBODf1h0SPnLXeAN7Xa0cLl5Dh7X/V9FE1csvk79zbNvdlwvFJdbpwMLJgAAalpq0BRpsi+r4sES2NrgIC+vfRnTdk/DvNx5raqHIDoyz616Dl/s/aK9m0F0EG78+kb8acmf2rsZBEEQRCvx6qL5HoA6ADco/9UCeD9VjTps8Tu7aJ7SIluTOHe/bD6IxaJwDp5NmgTxDD179lTtMdZrEZMCwfj5r4Cl/wYA1IZiXr+OFjwP1qTWWpzU7Z3b4cyq4lVotMlNSBAE0dGoC9lHJiYIgiA6D14F3jGc86c45/uV/54GIDYREYnj0UWT2+TB0xNg6ZZl3X7wHN6TygV1GWuKRCPa2kSJABZLm9scvLCaIN2h7KStk7CxdKNtHcmaM6ZaABN1+SysL8Rd8+/CU8ufSkp7wlIYs/bNard8dF72O2PPDBxqOORajkgulKOQIIjOxO6q3bjk80tQ1VzV3k0hiC6LV4HXxBg7V/3BGDsHQFNqmnQY43UOngf3w6Avw1p9sBZfcUFsHFMHMSS5uGiW7nTdf5gxHChvwC/fX+1aFgBQvgfhaEzg2VnOXlr3Em6b/ytvdbYCH5MfjUSSvQNAvZLsfX/N/qS0Z9LWSfjz0j9j9oHZSanPK14Fc32oHk8tfwp3zb8rxS0izND8SIIgOhPvbnkXxQ3FWFa0rL2bQhBdFq8C7z4ArzPGchljuQBeA3Bvylp1uOI5yIp82Zy6dUFmFXjCqpT/6+es+d67CP8JvibeQ3Ue8MZ413rDjKGyoQU5u8pi++IcKN8DTOgF7F1o3OCt8wwBTSQpMWGVLGuGKvAS7TyrwjBZicLLmuTzWN1SnZT6ko0qyCubK9u5JYcfZMEjCKIzQu8ugkgdXqNobuKcnwJgDIAxnPPTAPwopS07HGEMeOwg8qUBjsW4B9HgZ2medskZZAtebbG2bFqP7hietQ5CgdfoLTdeWNBECVIsd93WGcaVkSaDi2Zr5r4BrRdWquUqUQueKgxVodhZSZZAJVIHWfCIZEMdbyKVUPodgkg9cfU+Oee1nGs+fo+koD1EZm+0wDnYCoe7BY/BmzVQC4by3d+0ZV/16I47jhhkddEMNwFhb6kQwoyBmYOscA4n99KQpLPgJSistH21stPb2jl4mgUvyXMCCcIMCTwi2dA9RRAE0bnxOulLBPU4U0TYJgKmCveQB89LGUAWiVL5XrzVzWrxMws0/OtYwGOUtYjg9jCKJWsHoiXSov2dqAUvWYJKc9FsrgYiISDgzSKqogo8X3xjKB0W6vB1YOjSEEmGc05feIIgiE5Ma3qf1K1IEREXgeflskXjsDytmfMQ9qaJrIamOuIIoR1mQIhx9DghlnDdTSQ0R2PWQW8WPIceSJl7IBjnmhUXzYV/A2beF/f2yXbRVIVrW7tOkeWQIA4/aECHIAiic+NowWOM1UEs5BiAzJS0iECUORtWvczBkyRvH2gOhqid1cvkolnm92Fet264udZd6M3s3h0FLGJY5tZp0AdZifCIQ0m1fQ7noWSbPLcwQYueJqgYgF1z4t5eE2JJ0keay6hyDndV7kIoGsLoAaOTswMXaE5Ox4U640SyoXuKIAiic+OoJDjnPdqqIUSMwSeeB+zYa7s+lgfPXj1EJY6jq4dgf+9i2zKAmujcfk96rj9iCCoCflzYKEjebRIAk3r3tGwvcclRcEWkmKjTp0yI7cLcUBc30EgLEPQWTVSlPlSPf6/7tyYw3cT0E8uewMy9M7Hlji2G5al20bxu1nUAYNlvstGCzcSZ9J5IPo1h+bnLCmYZllNnnEg6dEsRBEF0arrGBKEuxuDr/oWftTxru55zby6a40uPxqCIsyXMeaqe8StfEZBdR+tFboeSB4uboWprD0LvlhkR1Gdx23SzzkXiT9X47tZ3MW33NMzYI0f5lAWwfW9n5t6ZwuVdJYqmBnX42p2zPz4b46daU5SQdZVINjRoQBAE0bnpIr3PLoY/iNFnZjsUcL9sn60tQABRnNASciwnx7W0+ZjbJDpv8olyILgLPFmg2YsyvZVI5KLpxYpkCLISjl/gmYO7JNrNaW0UUDu8dOa/zQ1jxT5v6Sw875c6fO2O3T1F14ZINnRPEQRBdG5I4HVQnrvGfm5VSJBG4bL6BsPvBTtKEICETA+CwF5yibdt9CVmwXOLoqlf78mC5zbBLQGBZw4qIrVyDl17WPA+2hnCL95emZS6tGAzLoKVrEjtB517ItnQPUUQBNG5IYHXCQlxeeqk/hN8TNg8Z40jwCLIcPlQu3TbhUsbRK6RHgTeKxteQUVEmb/n4qIpEhRxW8WSIPAS7eaolkBbgRduBla+BUipm9s2bdc07KrclZS63Eb01fUUdbOTE40AM+4FSne0d0uIdoQseARBEJ0bEnidkBC35mTzm77HWWhBEFGkuwg8x9TjNi6aQgte1F3g7a3ei78VzDUse65vHyzOlAOh6AWcaATZsowxRKIS9pbWi3cY8ZaU3QkJDInIvKgkCzxbwbPoeWDuY8CWaa1onTPPrHxGC8bSWryO6FPHsO1J6jkv3Q5s/gSYfnfy6iQ6HWTBI1IJDQQSROohgdcJUV009QFSfKZOnh8SeqEBmS7pErjjq1ZsXWpM0IIHAC3a3Dq5XR/36oHfDB6oLIm11asF7/m5O3Hxy4uQXymI7JmIBY8l14Jnm3i9qUr+N9QgXm9ifV610p726Xh5teARqWFr+da22ZH6jFH/iyCIFEPfDYJIHSTwOiEhSbZ46cOBmC14zwTfw82B71wteE4dueNZvnB5Y4JBVtwwWPAEL35rkBWG1QcqAQAVDYJgMgkIPDMccIyiaYdqwbOfgxdfnRsVgddeuI3o04h/anlx7Yu265J77tW6SOEdzlDHm0glZMEjiNRDAq8TEuKywIvorEPmC3m1fzkAoH80Ciec4lr+ISh2H2wQBlmx5q1zxGUOnqjTKpnnqzHb+J+JtQmxD48WXCTB75CTBa+8qRw7I0qyeIdUDxtKNyC3JjexBiQZ1yAr1CFMKen+dNt1ST336nPnloKE6NLQgA1BEETnhgReJ6RFFXi6ZWYXTZXr6mzmpyk4zcGz+8S3CF00nYWkW50YOs7QqRClRBBZ8Kx/yexMS8Oh5ipPbRKhCrNWB1kRPGJXzLgC19euca3j9jm342czf5ZgC5ILCbj2Jc1vnXerktxrQxY8gp53giCIzg4JvE5IRAmyorfgmV00teW6v09pbrGs57CNpWIbYTMi6vy11kWz3w8MAs7rHDy7gebctCB+vOn51rUJ8hzFRHBy0WyM6OcLxld/u42sT7oCiFjvH5XWtEviEmpDtQlvfzjgaMFL5j2h6TsSeJ2BUDSExrBg/nErIYFHEATRuUmpwGOMXcoY28UY28sYe9yh3BmMsShjLDkh/7o4XEmToBdafg8f5IAoMiWMwVr0SDadvIhg8ZT9s1z37wiXEoqiqYXnT1J/VLXcaS6aABBtAerL4qpHc9FMmiWkfTrc6vmQAKCh3LZcazqEr214Ded8fA6qm6sTrqOrk+azt+AlF7LgdSZumHUDxk8d397NIAiCIDoYKRN4jDE/gNcBXAbgRAC/YIydaFPueQDzUtWWLsXAkwBV4On6YKc2C4KMmAiKkouDIT8QEJa367JHBWrqhV1TXPfvXDs3CDiRYFBFk2ErdcqQ0iHdXVIXVyuWFy7H5rLNluWasFEPtSS+KIauUTQ7GVz3f+H6VliR5h+cDwCoajG61H6X9x32Ve9LuN7OgMQlT+fO0UUzqRY8moPXmdhXk5rng+bgEQRBdG5SacE7E8Bezvl+znkIwCcArhKUewjAdAClKWxLp2ZicQmOzFXmYgUzAC47XuotbCMtic6tBAXf7MKgH08O6Ccsb+eiGX/okhhqExZHqvHiGl1kQJMFT+yOaT4A3Rw8BmzMr8ar3+2Nqz33LrgXt8y+xbJcnTunl5zx4B5FUyFlHenkdNBilkzndrbGgqdeV7O183ff/w5Xf3l1wvV2dKqaq3DKB6dg6s6prmUDPvEgDEBz8AiCIAiCMJJKgTcUgD7OfoGyTIMxNhTANQDeSmE7Oj1nN7egV0tv+UcgE2n+oKWMffcvRlAwKlvm9wtKytjOwWuVKJHb8JvmXZi8fbJusWSYgyeMoqlbX6K0W1+spLb1ic21KJp618QESL6Lpoz3znySR+AZEkoXoRKO2g8LxNxsDy9RcajhEABg5t6ZrmWdBgooiiaRbMiCRxAE0bnxogsSRdRDMH81/gPgMc551Klzxxi7B8A9ADBo0CDk5OQkqYnJo76+Puntytb9nQ7ZBbOirhEBgS730h2zm4NnB7ebg+dhX3Y01DdAFG+ztLQU+4P7td/7c/cjpzrHUKY8HJsDtjArEzc0RlBXL0cJXbduLUobrUfj9Zqo5Q5WHwQQS8mgBlnZtGkTqvLtO9nm/eys2wkAKCsvc2zDrl27UVzn3EZ5e7kd+/btQ055jmmdCO6hjDt1dXVabStWrkRLhtglrDIi5yOMRqKW/R1sOYgXD72I+wbeh5MyT7Js29Qk5ytcvWo1DgQPWNZ3xOc9GRSECgAAtXW1rsdYVhWbA2ouu2zZMvTw92hVW9Q6e9bswFgANbW12NDK856KdyIhJtnneemypeju757UOtsLug87HofK5cGtHTt2oGd+z3ZuTduQ6H1YFCrCpPJJeHjww8jyZSW/YUSXJZUCrwDAkbrfwwAUmcqMA/CJIu76A7icMRbhnM/UF+KcTwQwEQDGjRvHs7OzU9TkxMnJyUHS25UT+zNDcYzsN/AI9GjohoYEqrPa/ZxJhQWvW7cs/N/A/pblA/v3w/ARwwFlOtzwEcORfVq2oUxebR7whfy3D0DAH0C3rG5AXR3GjRuHfWUNwP7Vhm3Ua/L86udx8YiLcfqg0407nmwst2r1KqBGrjscCWtz8E4ZMxr4gbE9ou1VinYUAauBAf0HWO8LneHy+OOPx/GnC+o1173+MwDAMcccg+yTs233CwCY+43hZ2vuy/99/T+gQr4XzjlrPNB7uLBcUX0RMB0IBAKW/U3ZPgU4BNT3q0f2mda2PD/9eaAeGD9+PIb31NXvdIxdgN1Vu4GvgKxuWa7HeHDbQSxYuwBZAV1Z5fz88Ic/RL9MsZu1K+ZzfDAd2AD06tW71ec9Je9EwkiynxH1njrnh+ib0Tc5dbYzdB92POYvmQ/sB0aNGoVs0Xe1C5LoffhIziMoDhfDf7Qf2SPj3544fEmli+YaAMcyxo5ijKUBuAnAV/oCnPOjOOcjOecjAXwO4AGzuCOAGt4NaardLJiFzGC8Uk3ZVGjBsxdr8QRZ8QoHx4JuglEoU7AJkYuQPsgK0/1f/oshak6Erqvrwx0f4pdzf+navg93fGhqrz0vr33Zdh3XwpK4uDqlyhXOLvdFgrjV5nScbu5emovmYTbvS53n6ZZEHoidw+5pVqsKzcEjkk1ndtG8b8F9+MeqfySnslAD0FSdnLoIjcPNHb81qN9FSl1CxEvKBB7nPALgQcjRMXcAmMY538YYu48xdl+q9tsVyeZvYa50BmpPuhX4yXPomZGYwBO5aDphnwcvNRjSJIgifurazwCLOIpExccX4fG3WJ3zpLVIUPX72953rcepoxQBsLL+YFztaus5eF4Tvjsdp+c2H2bffJ/Pu8BT55+mXATTHDwCnbszuaxwmafARZ7476nA8yOSUxdhoTPfZ22F9g3uxIMuRPuQ0jx4nPPZnPPjOOfHcM7/rix7i3NuCarCOf8l5/zzVLans9LM0xBCEFU/egHoPgD9u8tJj6VQfC40oiiaTq+Mud3F/t6tCrJi95IyBVlxS3TO5BTthuqikrhupwAfdsRGzdRjVeoONQCH3FMmqC9jywcsFHOufbt3T9x9YBpWFq/0UF+85zzZFjzmKciK0we7I43aFtUXYczkMdhVuavd2hCL1OrhvDoJ6CR8+GN1dG0L3qOLHsXoyaPbuxlEG3CgxjqfN24aKLg30b5ofRESeEScpFTgEclFfdD7d09Hw/7foSH3N4b191XVOG4vyoPnxMrMTOHycCr6fh5cNPUC8JA/gGYYXSEjNgIvFJUD1PiZfcRQOywy87NfAm+dA4SbHLez7bSvio1t5CmutmWN3pOom89LW730ZX2ZBCudaNt2+HB9n/89ODim75ne5vtWUa3EakoNJxxdYJMg5rU6urgFb27u3PZuQqegK3Qmr5x5ZXs3gSBazeE2dYFIHiTwOhFqn+u6ccMgtQwBot0M68+uHOC4fbwumnZEW/HCse04cB5XHryJfXrh4b5ZWn+UcwcLniRb8OIReJpw1Ax4St0HV8j/Ro2J5V/d8CrumHOHY/vlenRWSO5S1qFdrvtJ0hy8WB48OFvwnFbZ5LmzK9cWqKLKck9U5wPle9qsHYA3gaZeZ5EVlCx4HYCCtYAHod5ZINc5guhY0DNJxAsJvE6Ezyd3us4Y2RcH/nE5Fv7hAsP6XdKRos00RC6aRcH4A6luykiPe5sYDi6aVQd0pZyDrADAsowg+kkVeCQwDVxSLXjW7UKSLMackkUDcuJpFSncaGqtatnwae3VM3HzRKwvXR9b0FghPg5dPjOmrItH4Jmx3zYFHwOHdnr5+NgJPO7lPIQaktqBVu8lyz3xn5OB18YlbT9OqMdtvq+FZZMxx9FDW7q6BS8lFKwD3rkImH4XUFfS3q1JCl3BgkcQXQLlVUwCj4gXEnidAPXB9un6XIwxHDPAGFEvAmcLVbwumm1KuBF852ztp7T+AyDSYigi6nT8qekl/DYwE+llm2yjaKoumiGXWCs3fH1DbF92YkLt+LpFhlyiRNi0FItdRPXha82L214cJOlaK81VLXihiITKhpClmCcXwpp8x/X6OizX+rkjgC+NLsmtQT1vTgnEzUSkCBoV4Z8M1GPsCEFWrBY8wjN1SvafbTOAl45r37YkCepMEkTHIOVz8Mr3Am/8EGisTE39RLtBAq8T4da5cxN4yXLRbB02bYiGDfPdeEsdUFtoKCLqCKdxRWxwyXYOnuqiGYrYn79dlbtwqOGQfSvNlg2XTjm3G3XTWUZi3p+JX5e2suDtTEvDgbp8/Gbqeox95lvr3jxYmNi2meL1akAa/RxMUfs3fRxHi52JSLLaj8dt9/8W/R/GTx2ftDaoos3L9U+1RYUseK2gQ7xXCYLoiqQ8ONnSl4HSbcCu2e5liU4FCbxOhM/lOXe14HWEfohTFE3d8an2Cj2SMHGDagXhiEYFLpqhBoTrFbcpLt/uu6t2Y2flTkOxVcWrTLWa0wOYXDRtLHyqmLQ91QYXTbVm7xemqrlK2weQ+jl4KhP79MKVi3+Lb7eLXdAMx9BQgWkvDcXoyaMRjoZ1c/Cc0ddhsEymoAOtnreGcINLyRgL8xa6lqlpqcGKohXeKoxjDqZTXkWz+PtuZwlKa5tt66poqrCtv03m4EkSMO8vQFVu6vZBtApy0UweTZEm7K7a3d7NcOVPS/6EL/Z80d7N6JJsKtuE6kh1ezfDGXrmuxwk8DoRbiM5UZfLqSY6z7RxZWxXuGTouoqyAjhbiSC24L19EUIfXqv8kM/Pz7/6Oa6fdT0Qjflsml0dQ4qaXpWZgYVZmbqXn+qzKPb3bFHcSiW75KQCgedtDp5c+oPtH+CxxY/ZtturmBLBOQfnHKV1zWiJRJV6vNVkOM6KvXi1Ty8AQH24PmbBsxGyojl4hmudxA9PZXMlTptyGtaWrAUAx3xZDeGGuF0yH8l5BPd8ew9qWpwj2gIe5x4qqGVEz4D+3N/27ir8atJaXP8/scjcWLoR2dOyMefAHGMd+mhFQGoteCVbgRWvAdPucC/bGeiC1k5y0Uwef1z8R/z8q58n1b07FXy9/2s8ufzJ9m5Gl+TW2bfib0V/S2jb1Cc673rvL0KGBF4nwq0f4SbwVPteZjuO1KxqKhKv4FFIAPpFougVVV5lpgOuamyxbKaV4FyJomk8tnDZDoSUenzBGhTXF8d2Ofv/tL8jNoLtYDCIhwfpopNqQVbEFrymiDF9gr5Dnl+bj9F7JupWWst44duDMRfJymbFbz4SAmY9DF6n5m2K/xr/ZuFvMOaDMTjz7wvx0NQN8W2s6gIwxOyfHsWrwJJl2M5DEBKvbCjdgIgUwZpDa1zLnjX1LPzw4x/GVf/+mv0AYvM+neDaYIAHC57AjVVbp7vWS/aUAwAOVog7k2rev7WH1hqWf3vwW5Q2lqJtomiqF7zrRJ3sapDASx7rStYBgMHzgjj8CPPErj+lSSAShQReJ0Dt0/laacHzKxVldUQLnhQFZww+AD4OFAYCiCqd/Glr8vGzV5fiq00FtptzMNmCZ3JNbGYMYd15u3PenbF1277U/o5wlwgsFhdNcfnmSLO+tKGjtKhgkXAbLx18O66ceaXscrfza+zfPAWnfHEx/N12IxGBt6Rwifb3fMUV0zbypTkfn35/nBvcTxOxKhoFXvLu13g/ll4iXDaEG/DN/m8A6HLbedhOevfH8r9JdtH0grmePy/9M34171c6fZfKTkXs7iBSR2O4EQ8ufBBF9TaDag6QiyYRF7XFQNjeLZxoPfRMEvFCAq8T4TYHL8qd5+CpFzvLJhhJIhzX4m6p8IQkW/AYgKoAw9KsTLyuuM/9cfpmbCmsARflxlM35xBG0Wz2MbToOqv6pOJ/7xVL9+CabPqTm1Fa1xzr+NqI5MaIMb2C40i4FpAzVuaZFc/g5bUvCwrb11PdUg2AY1O6fDzBnpuSPgfP0hpu/m1wsIVPYJWzu31FroqpEnjxRM30ytPLn8bjSx7H9ortWtAWs8B7c9ObFquhasHz8uHWXDRFAi9JQkkWAt4seJLEsbe0LrEddUGXxo7IwryFWFSwCP9d/9+4tyULHhEXL48Cpt1uWDRr3ywsPOg8b5lEizvq1Bx6Jol4IYHXCYgNqrfOgqeu7ZNEC14gWS8dxUXTp6tuVfkmQ5GooKN/giQnpbabg9fMGJp0580fjbl55mTEcqBFC1Y7Nm91RjrOfG52LMm7jYVGdfUUzSG0oLpoKn98uP1DTNs9De9ve99QbPTk0Qh022dbjSpaYlff+/VtijQZ3Fa9IrlY8HyqxYlz1w+TJvB07TZYNVsp8DjnmmU1Fe4uJY2ytbMp0hQTeMqAwZTtU7CiaAXe2PiGbCHTo44VxGPBE3WIkvndV9viIoRf/34vLn55MXYU17ZiX12kw9LBjyOhKHwd+5AIj3DONbdxAJi8bXJCFl1P7Jln+PnnpX/GwzkPC4uS26F3Up4mQYMe+q4GCbxOhNt3WnIVePIDnM451h/IQ0a09Zf/ivokTRyXIuAw2g38pk5mKGpvZeM2c/CamQ+Nvlg9AZ0I1JeM7Be7T6r8esggZAz9FNrmNi6aquVG67J7eGeqHfzn1zxvW8afae+eqn4AfFqADOt5sOM3C3+DS6ZfYq0zWImWaIulc8j8dUqbjeWNIi72t8Ql7y6aBo2o/9E6gTd522Sc8dEZqGiqSGnIac65ljhddfl9Yc0LuOfbe4Tl1aPyMjKrzcFr5UfY9fg1gedcbn1eFQCgqLrJsZxNKxLYpuNT44vvfbq8aDlGTx6N5YXLbctsLN2IzWWbW9u0uCFrQdfg8z2f46qZV2HNoTUobSzFi2tfxAMLHkjuThIQHikP/a9D4pIhBVJnI+Xnqmu+jgmQwOtUtHYOnuq1xwAEEYv0mCjz8gtxZb0xzPxFDQkKPikCiTFNhALWUb5QxCqq9EJKZMFrMVvw9OJDV67Zzf8VgD/9kGuaBG8RMWWm95QT1bd2ZG5T2SbsaCyGZo9kErwKPNVt0NiGKLr/4AU8vvhxS/n0wfK8RYsFzxT1Ur0TIzzibsETJPw2pklQlyd2v35zQJ4fV9pYmvKRY9WCJ3mwkqtnxdU9GN6jaLYGDu75XLdlBy3VhKUwfvH1L7CyeGViFTCGnWlBnDtiGGZ1z/K0yY6KHbj323sBAPMOzrMtd9uc23DL7FsSa5favATueRJ4yaM9rVXbyrcBAA7WHtTeIfXh+uTuJIku9Kngva3v4cef/xh5tXnt3ZRWkfJnsoN7IhDxQwKvE+GeB098OY8NyfPk9DP0/hm+CWFT3rzfV1bhnEbvI/JBnSueygAbK9sT5ZXOlUmSNgdPJWCy4IWjVoG3KkOed1YTaUBTpA5mYdPkY2jUnTh9jfW65WGvH2GXICuxuVJGv3nOOXbbzFkSvbifXviJt/YA+Ouyv+KGHf/TgugAUYgE3ier8/DBilxhHYYgM0w+hsUFi60FmfFjHoqGDOG/5WOJL4qm0EVTNAfPg6j4ev/XWqRIbXPdhysZc/DsBDkHh0+x4rgH7dHNH3VxqeWca/n6hHPwlHsxLIUR6LkBXsS9bWchjnPdejpGh6KkoQRbK7ZiwvIJCdexMy0NALAyI8NT+YO1B7W/U+V6talsk3shG2huVNfCSRzM2DMDv/j6F62ovJ0EniQB3z4F1BQ6FltdLE+/yK/Lb4tWJZ3Uu2h2ncE6wggJvE6E20jgbT88Wrh8SlEJvs0rNGz9VvRKS7mr6hpwdpM1ElZT0fXCen0c8JveOQGbl9BQgfXNgOKiqZ+DV1Alt8WvCLGQwNKhHtMD+/6CBY33WtbLFjydi6ZN+8Ke3nE6J1Kbj5pqedKCrCj7+35XKT5eJR5BFImgzwv+7qVBBjS5zrgwyMrjM7bgyS+3CbcNR60hnIWdAiWQj2rBu2X2LRg/dbypTCzISlSKavW4xX3Rf8DEefDcL9KflvwJ1826TriOMSZ8huL9cJrPi96apVrw7NJumFoEwN3aN23XNEzfM124bwDgr50BAHh3y7vIHPopAj0Sc+mTPXvjs5Ym1OfoYNa/ZIyMqzUk8kFNxcj8tvJt+HTXpwDIgtdR6Kii+anlT2FrxVbtd9zpHFwE3oXTLozLs8UzReuBZf8BZtztWCzNLw++eEld0xGhICtEopDA60S49YtGDuglXN6NcwyORrU5Wlukkcoa4wvD7maI1I4WLvcLtrGL42knrDSkCKKm+spqQ2gOR5W5dUBYYB3MMNVrPkUSYLDg2bUv6qXTyTi4FkXT2YKnfs5U60xprTWHn0ptc3I+PKrYZvDuoqli/Kg7zPfi8hVSvWF3Vu4UlOVaUvMoj2pNcTvD+jqELprJEAaCKgqq43MrduqoeRF417+1HOOeXaDdI1GXZ+O7/O+0v0UdJTWgT3mTnAOPBRJ1kw4bznVxfbHtHLGkSLR4Orycy7kek0RSO9vluxFVTkhCAk/XlvUl6zF68mglJ2HiqIF/gMTcaakzmXxakw7HiStmXIHrvhIPaiVC3AnZXVzMy5vKPaWNSZiws9eRJvCkTirwyMJGJAgJvM6A12+twP1sf79s7e9qv9z5LIkMFW8Om44bF98mfs51boGxZSICbsfA5Tx4+v0zMHy9ORbhcWSj1TIRNgcBMbkQRhnD5vRYOgS79n3TvZtLAwGDBc/mo6ZZ8AQpEOw4UN7gWsYLmrtsHHPw1KAghtFN3Tm0flzE7iJ2c/D0H3bbNAmCJN76v784MFvpGrXyQxcJgy1+ybJ4yopcTRx5wanzqwo8p1HwNblVKK9v0e4R5mDaXHBwAZYX6QSWSHObfj8deB+/9n9jW6dKTUuNoLKYBW9j2UYAwIy9M2zr4ADm587Htwe/dd1fq1j0AvDsAKC5FVE7dSRVwCz8mzafOZHsJPq2TFVSw6wvWR9fHU5RbQkDr298Hc+ufLbN95sqC15eXR52Ve1yLBPPvlV3cM+0l4um2t9xEY+d3YKnkvpnOv76G8INqKnNt00bRbQvJPA6AUG/x46tz2qfCgeysCg6Rq5HeclH6kcJN2e2D7iNwIO1y21rwXN7eSh58AwCjBvlxSUNX1g2M8+dO4kdMPye1b0bdqSnxdrR2neky0dl7tYiw8c0NifPnoiHIBteiCV98P6yDfqCAMyjm8r2okYrYj8cjRqsSWYLnuaiyaOeP0yGPHi6Y3hy3b/waY/urbfgFW+EL3eJZXFu81JcOO1CrCtZ56kazjlQeQBosQYrUOf4/Wrer3Cg5oBlvaEeD/v6fc7vTdvYb6XN1WDAE8GPXOs+95NzBY1SBwmYLvqp83n/w6I/4JGcR1z3p2+pK9V5wKEtsd8bPpT/bXKZy+sR44CE2qrE76+Yi2brXjDaNYyzHnN5/fEldFxdWB++tektzX21LWkP0a233noVeSkReKk4dLW/47L/NF8XEXiC6xeKhvDsymdR3VydeMUJflcbwg04a+pZOPeLy4Fvn0h8/0lk9OTReGmtdRD3cIUEXidg+gM/xO8uOhYZQedE5mB+pPuC6BcxCoaIIruurG/AyLyfIFInCz5zrjaf7UtY/ALwwSro7ASUq7CSIpYgKwzM8O4RySDz3LmAqdS33YxR7fyt+tJwgPkQUtor4qPVB5GzuywWQCMkiwBz1Ek9ogTtiTYPgGyB82hKCDCrBU+1goqTasuvjAs+PwO//e63uuWiOXPyHDxVuL3Vp5ew86AFotFHODV9tGWR3jqBx7mEj3r2sCzfVydbhlV3UzNby7fixTUvGtv7yqnApCssZf26QZZX1r/i3B4vjbZsI7omMkmJbCkQ7cl3EeKmfwX8ZzTwlkCAJqktopyLrTl/6lvH7YNa1RDCyMe/wQYlzYSZRAMqJNuCRxbAw5f4BZ77AGVK7ifFW8LNetTpXTQd3kvf7P8Gn+76FP9Z/x9PdUlcshe6cb5zfvzZj2M/tlkH39sa9R04aduk9m1IB4IEXidg1OCe+P2Pj3Mv6Atgxbn/xbf5xqhSavqEv4XvwJaGC3VrvM3Bs+tU+XWueNoyuxd5wMUFUorKQVb0yzgzpIaQBC86s4umjzm/7M1BYeLloB84/ajhmF2y1qaEhGg09jnj5btd64wkS+Cpp4JJDtZYI6ogMbgUMsXNlHM0h01t07nrLirQ5Q40WEFi94VZqL239T3t7+L6YuTW5MYEnsDyqXIo4E94pFGtf3XNHnzfzRrG3m0O3s3f3IzJ2ydb21a8EYCxU64KZm/tih/hHLxkCjDRfEdB9erqhNzO2jDYRHl9C77dXmJdoWtCMgJAqINlbu+XfWXygM93O2Nz7JLhumee32Ww4CUyB6+DBgRxoyO2Wz3/KQk0kgLinoPn4ZynROCpg2kuAa00L5VObsEToUWg9nhvPbvyWZz+4elJ2XddWBwVvL3oLM9XW0ICryPzp0L5PwfGSP/Cbw8Okn/4/Aj6Agjq1jPEBF4p723amll+xdMVEN08fg4wwQu/P8tAH4dE5fv8QKPPZ7HgtUSigK8RmcPfxt5g0LJdyDwHz+VD4mIDdYFjo9KDW1a1XViCMQnMF9Xm/WnJrB2alSyBF5s95TwHr6ShRJtzps7BM0TRVARelHNsLjDP0xK/MowWvJirWkQy5sFricSCzVwy/RL8bObPdO23SZMAORqq293p9oIva6kWLhfeM/P+ov1pTq3g1FmJJw1DUoUZ9O59iQphGObgOXfKWtF2dR9xdcYT6yDe+s4q3P3BWjSHje8eQ0AfxUW6NZbKqLKtm4umTwn4pL9TRcE3nM79hrwqjHz8G6zaX6HfAJxzvDR/F/IqGg11RqMcoUh87xjR/ndW7sRts29DUySR5PZtQ8o7eXP/DCz8m3DVxzs/xtlTz0ZVs9g62xHFp4jGSLwCzz3ybkqui8c5eOl++VvcWQVeMtMkfLb7M/u6Olh043hJ9iBCTUsNbph1Q6fOn0gCryOT3l3+z4FMXz8MCSuyRTAHLyPoR1SRNX5zR8L0PKTxWNfwlhr30RnRzcPAETTVu+VAHnqwNHxYJBhJV7h66CCszsxApj4oBweiEuDPKEKg2z6837unZbswY5jWI3aOfC7zz1yjeTrBOCoVP9a+QTuLJMfMvDexJlPOh7XJL+HZlc+CO3zgkuWiqdXi4p558ecX48JpsiVXOAeP6T+Yppe+2a9XXWw4r8Y8ePp1ouAjokTn5g9QBMz1A+QWqa06Yud6JDhfK17T/jRbQByjaOqeQdcE745rbbYRJjqXiYXTthKJSvjbrO2ob47Y1iOviFnw3ObgDWOlyKrd57ntln0kcgbi7ITkVij5A0270t9ryYjwF5uDJ2Zb+TbcPud2RJXnzPZ9oFpGwW2v0bK98uDM4j1l2jIJEg5WNOLV7/birg/WGE7t9A2FuPbNZV4PRdu/mRfWvICNZRuxpWyLYIuOQaoiVWqsfB1YIp7j89yq51Afrsf3+d8L17fLHLwEBi1SMQcvpeLWZQ67KvBaovaRrDsy6qBhMu8fcYTszjEAYUey77GFeQuxo3IH3tnyTlLrbUtI4HVyLj15CPzqDBBmFXhH9s3E2JH9ASBWTsP48g8A6KmIjZLIEa77Fn06fLo69HBfAMPdcuEBSNM9owzMce4aAIQYMKNHTGy5WfCkVg5SlSjH1sefabcH5NUbI5p9uutTrK2aZd8mLiXHTUzXBs9z8ARRNE9k+3UlzK8I8SvD0LHiXNt9hEcMHQChwFNbrmuyudMdSoIFrzpsDYoCQHiuCgKxZ8kHZwueKA8e4C4cbLSy8zZOc/AQE3iSqfKcXWV4b9kBfLWpGI5onaXY9nYufkvTH8a58y730mybFscobyrHTV/fhEMNhxKoL5EW2LsDJ4L6XtmVlobRk0cbk4zP/A2e/fp2bCjdgIKGfco+dW2xCYgS4V5yKcpsK9+GjeVykKBIlFvuk62Ftbj323u1EXw3nDpLHXl+XkewktndT+3dNq/iN26Bp74z4vBeSDSYkAHNE8D5PasKpPZy4UvWdRe++xOsW+ISXlr7EhYeXIhkzWtub1I+uNMJIYHXybnu9GG45IQB8g+BBY9x4Ig+soXLDwknHRGzgukf6+tCch6dn9Y3QCr6Gb4ofTyh9vg40Es0oubxRZSm7+xwPypaCgCffUcnDIbe0diDfa7PeXR5my5lQrz4AvUoVtxMWchmNJBxcMGLZntdjm29IakFSwqs0R3jRZuj6DFNQnOkWRN4qw+t1pYf7S+Qq2HcWo1Nygxj3jf7OXhO+eGcXDTDDK7WG7MrRW3IGFK/2tb1yHquHh44QPvbb3qu7D6qHNzQQZfCzZYyf1z0R/i77RLu9cU1L2L0ZHHOSa1O4Rw8GYsFj3NAcb2VNCupy32hWfB8SQmy8vHOj7GtfJt4H7q2zNw7E9sqtuHjnR/btCuxjoytoVIfCEjpILYuyIq87SrFcp+TnxNbufFD8JDsEeH3KZ1N/XiIzbNqcJt24Y65d+CJVb+RfzDTfaKI/eVFy/G3FWL3Qi+o98Hnuz9PuA4hNYVAKMHcjSY6wjwcW4HXjsKYc3uLsJmEXTQdnh+7QbFWXS/1eCQJt86+FX9f+ffE60ohoute2liKgrqC+OpxuH7xvrs455i0bRIeznlYv9R5o5Z64OtHhNGjW8v+mv2tzv2ZqgGUjjyg5QYJvC6A5nrJ/BA+pEon/k+XHotP7jlLtyL2UrhrvBzExQdAqjkd+tlqI5nLqL+pxl5Cl8P4BV4krRrv5N6H9P4LbMvvTkvDsqyYNa0PS/7LR89SJQhj+U6xIGO+Zhyos+YkOtS8B4yJRxp3NM7Cg9892Oq2SYa/YufR7sXXEm3ROm0TN0+MlTdYtIwfDrs8ggbLnM7VNypFDe5owvxw6nfaNu2CGkxH15aDy4H3LtWSXzeGIrj2q2u11V/u/RLnfHwOdlXuQmmtLLRCtuLSekz64D1mgWMeKbQTQNEDOZZlc3LnIGv4+5a9jp48Wgvk0hxptojTWEtFcyegnPOYwOMAsPJN4Jn+QH2ZdRsBDPDsoum1P/Hcqudw0zc3GRcKDkG1IKvuVC6tjBunj3QyXTRVrPeM/NvvU6+R2B1ZE+mcO+ZSdEIOc2T/DHvB6XzNzZ0bf6Oc+PeJwJSrk1JVRxB4cw7MwdQdUy3L29tFU73PShpL8NqG1+w2EVrwGsINWHvIJrBYK1w0k2XB21S2CZ/s+iTxuhJh6wygfK9rMdE9edFnF+GyGZd52k1tk/zdagq3/j2ltSkRa9fKN4G17xqmLySLq2ZehYs+u6hVdST72e8KCeZJ4HUFVIuZTxTBj2uWvQFZfvTIMIdgUTbVV2e6LZ4JvO+5KT4APaPWB01yCLCiRy/wJL88md+faT/SNb1nbP5dIJLeZp/QDC52Y8kYMtN+I39yRqm9ETsT8w/OR35dvqVEWAoLX2JRh87hrf6Fwr2ZLXiqq2yUR7UgFuo+rS21XjXzyzrETHPwZj0M5K0AKvZgW1ENTnxynqH80sKlAIDr3vkCFQ0hYZ36FpjRu/qaA6dU1jvM5dA10W1E0W7tnANzcM7H52Bl8UpPG3EA4JL1Wm5SrGG1zoGajJVZg6yIRodFn776kMfBFcF1UOfHqCHNk4V6uiTTeTPMwdMFWdlZuTMhYRX12BfwM6sFz45Eg0IwnThPlIK6Au0Z0upNZYcnf1VSqukIo+1rS9biH6v/of1Wz1t7i0/9ufnf5v/ZlhNF0fy/Rf+HO+fdKc63xt1dNO2uS1z3ae4yYOt0Q60AXOfgpYzP7wReG+darLX35Mb8agDA3lLnuAicc6woWuHpnCZ0L6rf+A4wiCIiVc9+e7tWtwYSeF0B9cHz2VxOVfiZLRiG+W666ky3hSU4iwMM3CDSVKrqvUVeM7poeg85r9JmAo9Z3e/cYIE45zbEieEq6axwjy1+DJfPuBy+dOP8plA0JOy8S4ZUE8b1PSE+boPA06XPkBOdS+JyanGo7oMOLppgisuhsn03eV4pGiuwrdBq7VLrbNJFD4zaBrYQCTz7X+8s2Q8R5g+M23xPu6fqu7zvAAAbSzeK9yFFgaZq3TIYfBE5kyV2QugSncfL2R+f7S3CoiDIiipm1KTEgo0AAJ8e+AanfnCqtYOSvxpoKLffpemdNGHFBK2tqgXvYO1BXD/rery89mX3YxC2DvCZ9qNGr9TWCwLh6O8bvYhKNG+X1YInZmXxStS0mKPkyvw+5/e4f8H9nvbXEm3Bsyufta2rLUmGNTZl2F2S+jJg/hOaUKlqrsLoyaOxuGBxUnfvtVPfHLW+43dXyul+RIFKRn/1MzzRvy9SHkVz0uXA57+K/fY4By+1uD9nrRUIXgdWpu2ahnu+vQfzcue5ljW0yfO7PjbbuyPSmYVYqiCB1xUYOlb+t4dNYBQtX4z9i1CfoCBqFnguueUMZbn48R/u8+Ymlm54SOMP7Z1I4IpEiCSwn8H++Hzu48XubGlzjIKVhuUrilYIO0QGYSJ8Z1oX1jbLnQIeaQa4BCXYqGLBi4k6pyiaTnnwwgxAqA54pp+8IKuv/G9jhfCG4y11lqbaCjyhBS9GXZMpxL7pnKkf4KrmKsPcK8nlQ2gnwqqVdA6iD7vEJWDun4DnR+jqUWpTPtSfa1FlTcfli4mv6XumQ4jegqe7Hl/u/dKTZctbDi3r+fbqovnC1omI8ihC0RAiUgQf7fhIbte7PwbevcR2V+Y9zsudhxl7ZgCI3WuqKNpcttnDMRhRr7V6xWJzjNSro2JcDphcNHXBJ+KZg6eHMXNnx3ofNUWacPf8u/Gbhb9JaB96vtz7JT7d9anB7e/dLe9iZ+XOVtdtR3lTOZ5Y9gSaI83YXLYZN359I5ojzR2yk6fl+WyqlAciVBoqgJkPAF8+ACx/BdgrT0XYVSW7+H+w7YOktsGrhUMd+NiUX42LX16E+pbY+3tH5Q68uuFVyzYzdZGshVQekF0aze1qzfXS5uB5E3hvb3kbB2oOJL6/BEnEsrS9qAYvL/lGOT/q82tfD+dc89IpbnCfUiMU3K7zsxMf/GsLKMiKFRJ4XYHsPwP3LQUGnSheb2fB07to6p5ZtbMymPVRSnl/QfnQOitamsESEecD24bvHXOCdS+MDOYmtQ3dg8aPKteCrGizsAww0/mcsGKC8IOnP+/H+IwfiwwurvvRWUqU0HCzwd2qrrkFH66M7UPUadUseA5BVixJ7jPlexNNVfJlZyZrx1513qYu6IntB0Bwrrh+rflai+9wsxusa7fD5haqV6J9iqyrHBzYMs26kW4OXl4wKLdZG3BlKGnOR4/jn0YpFtk2R3X1VLdRmXtgLv667K94f6u7q7anzowgyIpXF03VAlZS24jPdn+Gf67+J6ZsnyKvrLRP2SBM+6Scr6ipg2hrBSrbDbx5DtBUZVmlumhqAs90cdXdc64KPP068TlL3ILnlsMw1rG2BMBJAPV86ff5n/X/wfWzrm913Xb8e92/MXPvTMzNnYvnVz+P7RXbsbNyZ1yWInVubjLwIlT49LvlgQiV7/4GbPwI2DNfKSB5rssr+neI13qbI/J5eWHeTuwtrcfGvGrt2j703UOYuHmi+Dw7uWi+d4ns0mheLrhPC+sLvbVVe494v+a///73nssmi0Su55WT/4P39z+Or/d/rfW/BhV9CwBYXrhc7L4fB8bBunj7Mh1T4FGQFSsk8LoC/gAwWIm+Z77JOddZ8IwCz6d7+fsMm8nLf5t5M5YezHd10Ty+JdYRiUcMitALvHB6fC4/cQvCVhBJ4CWXyDZO3HzCzYbf6tFnIoTHst4QbOHt/PwiEAtqM5hVGNbJ19daT1o/nTtRNIQqv/xqeWnti4bOgCj0uxcLnsWLUhu0iIIxhm4/eN5Yp+BXPC6axhej+bqJBYD5A+Pmomn3pLh3UkXiwWg6N9qNGEqbZPHZgFyXRlnn4KlCo7C+EAeVvHLxjm/cv+D+mHVP8CF2nW9mCvhywUsLtGAQtS3igDSAznoi2Kc6t9Is6GzP/6LngZKtmPnZZERM84zNtZsteOq9UNkiu5Fy86RA03atCrJiseBZW6iel3hSMdi9vtTzlVBCZv1kxFm/876dAudcFz2WxyXwznzOOp84v7IRp/5tPnLL43Ond9qvNgevyi1nZGo7zvFa8GJzB63bCQdBnKJo2lijzW3aXbUbl06/FB9s92K9jM+ClwxKG0tx2fTLkF9rndNuRyLuqb40+btbVF+k9al6V2wAANy74F7cPf9uQ3nmEBRMhPh963Z/OK1vZ9G39D/gn96m/SxvsnfX90proip3FEjgHQ6oubnML2WdP6PoJR4IdkcvibsKvM+LDuHndfYBFqZGLvTc1DQOPFxpHSH3guyE0jYPZSIumq3NwWfGPF9JvUrDWBleGyQyWXj7wDtZJzmYaz3F4TrkB+VgPg3RajBf7OMusuCZXeT0y1SYMpPvjwP6yXPT1NFiLsHHAJ+H+Y12Ak80KOE0B497TEwfdbkX7WpRjz2vUuzuyC3XhxkseLGCMZca79MslFblrwSq85RFspjeW1qGn/3rayzabe9ure/c6/9eWrgUa0vWGvehQ7Wuuosa1RXSJuKqkppiysqDBguNSHPYCTzbjrBSPmdnCbYUxgaf6hlDvTL/WR0oi3WOjVU8t/4Pyj50++McCDUAC56OWXFMLpotEe+dWMZEFjyTRTyJgRLU65xQvjH9uV83ybGoxCXt/tDf6/r9tna0/cuNhahuDGPaWu8deMCbe5jWMu1mFD+U+o5lXagOe6r2GNavL1mPqub4v5Ge5+ApFjy1GbKToLGtZqu3G3ZXxTwYoKYOsI3YadxY+Te+Z0NlWeEyx7Q9IuYcmIOC+gJ8vMsmnUuSYYzB53HuWzz3fkLeAY4umu1s5VrwFKTcWGRzQx7SwxgSeIcDOmuHHeozOy8aiwrFA3JOJ58Xy48218X48Ac5B4/jNkvnHL+ucY4WZdsEXxSHAtZcgKkgEWucW4c/XszubNz0rxVvH3hjPEwjqjOlHXV+Hz5qOmhcyFzm4Cm1PpLziNapteRNAlDr82FO925ySglV4ElRgyXa2m7d3NI45uAZV5vlnrfzmKgFTz1H09aI52ya9666VhpCooOhqlH+iFc3heF5hFU9R1W54IteUBbJ8+KySpdjc8Y92H2oznaUWH/dzNewT3ofbR9LMzPQqDsSNZm8xTJgemdp15pFdRajWD1vvvEvjHz8Gzwxcyvu/2i9ri1W1M6eeZ+2LppKeR8kdE+PBYA6e+SR+KRnD2Wd0dJonYMHw3J5HQcWvwgsfRmoiFl59M/K32ZtF7dJ1EwYO85HoxhBGJ+7pAo85eiqmqvw63m/RkVzhcsW+oZ475z/cfEfMXaKPN9cb7XTR6ls7XElPGofT/9WUl1a3ff163m/NqR/AeSch3fOtbo7OhHPHDxzkBXOrdvG7aLp0C5DFbo5qK6obXC5h/R1qYMBywuX474F9+GdLe+478eFzWWbbdPamPfvludUv5UKU98hSbQoiQZay8INeGntSw7i3ZvQbC8Md2Tn9apMKiTwDgfOuAs44jRg7O2GxerL9I/NAfQLZAEwfXQUgecliqada+Zvqqpdg03oCbbSj3pyr57C5dfXJiYa7Qgn8I5L9jsnaEqL4foBYBKu8Ln77kd09azOChrWSQyuFrzJzcaE42Cxj4kwiqbumjdFZfcgqwXPVF4TeGHhgKJa41AWszZJNlcg0MMaDMJ4P5tdIiVzYaV+k5VEuDf3tYX1aloDOxEldtE0d05rmuTzXlLbYivIrJXrLGPqJko0Wy65W0m5WbjokCChafqvse2zm3H/4IH4W2ZsX5rYkqKaFQ4AMOu3Wm2AzpKgE3hVzVXIC8ht3F0Sa2NNUzgWh0HkogmxxcnWxVC55xjsn2Vm+kObJmQ6/4Y5eKoFT78B5Oi3KtuKauV5pR4CrzBmvBfP8W/DfcEvDWVEx2h2+5Lb6XwX14fqtWAqc3LnYPWh1fh016eubYztwN2Ccun0S/Hw9w8bogOKLHgRKZI04er6rja7Yzs8z5oA1W4KuQO9t7QeazLSMfqo4Sj2+7UBBP212VG5w7Rbed2+Gqu75/R1xgGhquYq5NbkWrZ1Q7XgiSK+qohdex08P2xWvbL+FTyx7IlYDTrh7opHC55I4JU3yy58ebV5wm3cdx0b6rxl9i2OEWfN9+Sflvwprn2pg0acMaCxUlhmYd5C7duq/w6UNJTgjY1vWK69wYKnlJ9QvACTtk3CmpI1lvrLm8qxXnEvT0TfVTdXo6i+KP4N48EwRSHx3lYoIiEcNQ6Yjp48Gn9Z+pfWtK5dIIF3ONBzCHBPDtBjsGmFfAOPj/q0l6X+sZAUgRdwDxchjPP0VHkFfl1TF5fAE6VYSAZPViTm9mlHNIHRNK+5srwS3GBMpmsNPm9Gwh8D7slgndxPOQDmiy84AfOZLHhFG/Dv+Q/pWqUTFcr1N1tRGEzfFdW9LhrCwkNThO0EgCcCH8GfUaLUGU+6D31lphNiM8JpEQoO972/256EP0FmIc9lk41JxMVkiEjc2FcuH8P69HQ83b+fYVWTh3ve4GZr6vRGpSh+Vr0cNw2WI6AW+qwdr2jpduDvg2IbbfhQqdgo8BiLQr1KM/d9iSuOlCMINwWakT7oSwBRBHSRoxxdNL0GWVHK+5jkek4ZGCqaKtAUkYPHuFrw1Ei3yj445yhrig1OlGb8GZEPfy4nrncgDWEcFT1giswJ9Ee1cf8CQSIK3OCWduD+Bffjq31fGbeJx33Pg3tdYX0hFuYZ58vp5yr6lSkIoWgoaYEWXKsxHaOTsFSfCe39zyXcMvsWfBzJ1yLersnMwN/3f4Fdlbucd+uwnz98tgl1zbEBgCtnXolVh2IBr4Sd3rLdlkXaHDxVj4rm4KlWSI/n21Aq1KAN4jRGGjFz70zUheowevJozM+d771e3Xxhx2KCKLVxWQp1WFxVlX+3l9tb2M37+Hr/13HtTx1s5GDA9LuEdde01GBRwSLL9o8ufhRvbnrTEtFWb8FrUp7BkPKv6B67YdYNuKPse8/tNnPJ9Evwk+k/SXh7L+j7ma0ReMf9dQ7Of8F6rOb3XGeABF6XI/4b26frDB7ROyu2IpAJwFvgFJHA8ys/gorT33ZpBG6tsXdlAIBAJ7GtJ+KimewQMMFio5+525ljzGJ7EuJ0bBxA92P/6aEW/Y6NAo9PzMZ7xTnaMkPSae7eceDKrBAAyKk/iO9LPrItW6fLDZmwwLO8JsVtM38Y3caVLZFBRaWEQ99iC555mdpqLpqfZ1ercgwPDhqgWyMva9AJJrum283BA+RrWxKIWZ3TdavV9kVKtlrqrNV1WpnARVPP5qFrkdZ3BXzpJQj6Y7NXRB98zWpoir5pf++pnUPumqicgSF7WjYmrHxc2b8Ri6VTTbZuc2LrApUo98tChjkERvlT+tt4uu53QLPxPctNVnevlq55ufM0K5DofG8s22hZVtpY6qluuSGJBciIWcUk5FfKgqQl2tLqPHixeWcub1N9PriPbgBf855r3dcNHSL/IUWxuWwzPsso1M7o/mAAn5Qsc7USuF03vWVYTbcCyPebcNs3zrIsis2pVEW0dTNR5FRnF03dvTMx2xIJWLWkzdovR2MubSw1PCNhKSz4dnkVl9aBJNG6uFA2U+erO7n2tnbQQbPggQG19lawoM/obdMYimBtnjy4aR7Q0Vvwzqx0F276waZE8JQftZXoj7C157y4Rj9/u3P0SUWQwOuqDB0HjL0DuPQfrkV9AHDkeADA6Kt+H1sRlAVeEO5uNHqBp1oYVLHWXUkKvpcfgeFh57r8neRZSijISop9190thJInYeoUZCWhYzAJPKcuisQlfL25CLtLTB1Um/IPl1lHLfXl9cdi56IpQhRVVqvb4j5qda0CnOfgMRb12BprJeI5eEYXzQhiAzNckuwVmaVy+VoZdKUiDvRiGQCiAvGp72CbO0/mlBwZ+l0o7auqtwZrum/KOu1vNV8nC1YJz19TmuKKLQXh9zGwtGKkDZgnjFrpYz6gpR7R7/9uWG7biVY7c7C3iqpbNkRkl8tlxfL9aTEC6zfn0Lkq2l+nZmX/m2tmwN/NankBgJePzkP2iGGQdB0q+fKZBgA8dlr+tORPuOHrG5SWebuH1E66HXur9mL05NFYWrgU8YS4F8E5R16l/H1pibYIj+vD8g8xZvIYT/V5dmWWokDRBqAqF9gzD3x+HO5bAhFapAx89EzvKU6PorkEJna+iuqLNNdLt7ZoeVO1fVs3215UbRWNLp4fGuW7LUXN74pdVbu0PJUAMHbKWPxlQD/TRvK+3azp+jZ6vr6uyHWqZ0+1Iovw8qyFo2HT/HTFY0EXZMXVqGx6llQXfcB63K5Rix1JbT+moxCXu3AHhQReV0MdxcnqB1z5CtB9oG3RCJfLssteAHoeAUyoge8HF2rruZJ0+ChfibbsmTLxBHr1kdd3atVOcpoiEMMwzhkTNl/59282+2kNrx+KY2TZhUTy4HmKohnJTLg+VbzZJntnHEVB90a4uWjGjc5FMyJFXAXeg1M34NnZxvxcEsyTqJ07Omo79cMJ0URH4kwnlMPsPir+EDgG1fE3eZjnwwBufUWL51oarXRhXeRMKR4riSI0REkAakwCLwJrp8aQ6sJUyzMrnzH81lvw1JH1slqrhX9rYY3WBvUIs478AKKORsQn73MM24+gnyFj+JtI7/89GgUjyAwMiLRYLK1egqzY3UqqVbaiSX5/9U7rA8D43GQMm2zYXnbRVFINRHSWIRMtigV1ed0nyBrubDHiOkuFenca2hmHsGqKNAGrJgIVez1v48S6Elmw5+TnJG7BMzwD8t8t0RahAFrVsCr+Tpr7wylbov57CgBn7wxrdFu94JBRrbO90noJBYF6vVzdX23aPXn7ZNwx9w7nbU370kfRNL9v73h/JT5YcTAxF03BAlE96n2i8nX3buaNbLe1q9tswYsXvWswEJuqwTy46Dox9sOx+NkXPxPvU3W1Z85ZhtX31rRd07Cnao/lHaV3/zUHO3uvVw/XNsYa1DEFnr4/NDd3rvYObi0k8IiOw5FnAhc9BVwtyoNmRumw9DtGuLaRW5MOX10vDrQgirvh1/6NRQ1zezX4lbdSKlw1f9jkPHdsYKPzS84fidkc4guuLOOlS9UX3l0ZzGdIDY5yMBi0FgYARPHgcOdE0gAQdrhKCaV60AVZCUthrM1It6+fS+iBBpzX83PDcg5T7Eoe9TAzFNifFjsXbqPfb2x8Q7uuRgOLuYMW2/MbG9/Arir5w2kWBgfS7K6Dt3mM6YPmGOYv2rYHALhk6PSGmW7uhiRpli8nOKAF8dAfv1pPi0ngSYLPh2E+pcsznKFbrXYqAyyMHWlBVPvEnyam66D5HD5ffhZBwOcDmJp2wIqP+dAUjlos3+4umu4WvPUFcsCLXum9DcsBINhjh2H7bRXbMLpmiRwopnij0l5r/YsyM7HL9tk2HYMhL5bVRdNQf4uHAFRzHgVqEgtIYUbtXAZ8AaEFKW54TOCJogPGQ9zpRIxNsJBfm4+qlirjQp1/r3pZ1HvQ0PHW1ak+V07C3N9tF5odBgi8wMB0z7DiBss50FxtKihh56Fa0zvVw8mzeW6cXKjt6/I2SKGv+1DDIZQ0lGh1f7P/Gzly7d4Fdpsb22SajOJud/c+mBILrmXcn0+XnsCcf1O0n7y6PFz71bWWM3rbnFieOLMF7999+3hqo9qqjodxItG3B7/FgwsfbGWNHfE444MEXleDMeC8R4BuzpPxvVAf8Z5yQJvvo3so1PC+XqJwqqh79JneTpkeco9dY5OLb1AkYqjbjiOaujuv57GOUEIWPA8vjLQ4RtbNHX1X0ekxEXzE4dgSkt06F82alhrcM2SQbdEoj+LSXlOwrpdxIIEzXScqGgG4ZCsC9HzaMyba3ebg1YZqMbdblmCNWQEo9QF4c9ObqGyWI5vFE1yC+VoSnpNpCbICwBxkRS/Sw5EwXv/em/Xlu8ZC1PhMs24F9w1jwGMD++A207VURe5vP96AnHxnNyC9zNdc0JiEG4YOMc0B1O03HBsAKahyGAxhHAG/zj1X8P7wMR+awxG0mM6naCBgX/U+1PIolmdkoLBHkavAy62S74kMvyA6MYwCUU3KuzozXecWxzGy50jDNq/27Y3rhg0R7teMRaSarqGh03nIOu9RhMc0mrrySic4KuEP0zZhT4n8/txbVgNAmTOUgAVP4hJm758NQDlOpWERKZJYfi8B6qEe8vvx1/59rS5t3CyYxe/Mh757yPC7hUEoTFTvC8N+9FZeDy6aWcPfx5tbXrFdL8J8Sf0+v/asqFNuOYf8ztXDZCu24T5zcu138ve0wb2D7dF6qNtnaVMpLv78YmPdr44FPvy553YplQKIWfBCEfu2JGIBYrqHTU1TtSAjgNN62Q8MioVkrB799ylRF037I2lnMcSsyYvy6pIzINWZIYF3WCOeO6TSFHb5+OrSLmhuBIJiahROzt1fA+oNaRZjfgAL8grxv+KYm+V3ecaw0Ok2x/Fx0SGljc6kudiEgrrqnUSQHV6iaNrNQXw+H4aAGyPCYZxpski6ic6LfOsd18fqsV+XiMDjac6BdfSEIlH0CFgndMsumkrDQg2AFEWtX/z6OjIcFgYw8eKi2eSzurn2h9HCwTWLtJG4kuayxB0/yn0wiFu1c6mvMaQ7/u2F1Yhyd8tGhDH8rmYNHh3YXxCyRaZFqZaB4fvu6dhossaq75KvNhXhs93O1oT0SBgIycncVWFYoBio9pstVWqHSudqOXmF/QecgStRNJXtBJ0fxhi4JBnOFQAUVTchZ5fRnfvqL6/GrXVrce+QgVg/ZJslgbnWTK2u+K/u4IjRqdec5zIeuMENUJD2PK6AQ4l13tStdpXUYfr6Ajz08QYAwNTVBwAkbsGTuITGiHzfSNtnarb9sBS2dFxbot4tWssKl2FRxVsAYvfx3/v1wZc9umNJoZxE+Yvu3TC7W5ZA4IkxW/XHjRxuOGb1u6l+G+wEqlpPVYOz5T+/7qDjejPmN1YAPkhqMnlN4Amsa4qbsvE+8jAwaHPfOVnwbC3qCVjwtLqTJEgiiT/unlF3sTNN8L3TfXPM58kcPVQ/OOA0EPLvdf/G86ufF66LAkIhX1LbhPNe+M62zmRz6+xb8fSKpw3LLAPeunOz8OBCrC/x1v8xQ0FWiE6K4oJhMyrYEHL5+F75KgBgoyR28VQfN1XgbeDHurZIc9E0PVQ+zjEoGsWpLbEP9gCTu0KGTa/LXM4ON4Hn173FU+WiaWdlHBQBIMU6038tr0Sa6aviFvjldJ8135sIp0AsqQ4U0xAKI2ATL+1gUDeHk0dt22kn9G3nJuqIgCEMYGdarHM9ADWGMmWRnfj9wP5YlplhWB5fBL/EBd4VfYM4b8QwXU2yhSq3IiZEg74Q+kdlkbIovBCZR1pTSdhREAgYBDLzx565Kp+zHVx/DgZCnLNJJRBuAl4+QT4G5ZqVKLpuQFQfrCVGgwerrbqVXx9BVWApUp1YzRa8ICJ4ffl3eHXDq4blB6KNsdo5B//yQYS+/I1w7+ZbzXytRfFsjW7BNlEPPWIOBGRx0dTPlXTZT/aR2Xizd0/sTI9PcJqNNrEIqPLbszUWPBV+YDH6MPm+j0gRi8B7a9NbsbIuHbX7FtyHrXVztTa/uuFV5KgWfWXbJwf0w2MD+wNcwta0NO0q2p3BgE8w71xwzKq0t3MxVdue/eL3jscQ7zvFPFAZiDRDCsv3eWxusZWMoVNhSZ7uyfPD5t0sFJGqi6jN2fU6/y+JHfRY4A01yErMbVtEfmUjvtt5KPEdcgaf0/O5bpL2p+v3R3canLxNdlbuxIc7PhSukwCgthgwRfCOcq5Fs20LNpVtwue7zdM4jOgF3sM5D3ueg6ri6iLcCSCBdxiTplpAbN5/LWH3DsYPmj/AtaGnYTeQ1cID8CvuQQf4YPw1/CvH+jQXTZvlTpg79n2iUdwUR4Jzt2ihgVZa8EoD7kFm7Cx4ZvcoP6xurM0ubXqlX2/X/QMpCLISBw2hkPBjKQH4ld4dkEu2lsYovCT2EBNhDC/27WO4vuZ7cU3kEyzoloUHBxsDGMVnwZPcE9N7hDPg8/X5+HJjbA5HmDGkc1mYbY5sjKs+P7e/zisyM3CgcZXNWrkzdfuc25E2YA4+T5/guB8GaHN71EGmFpcvksFKbVLshi4Lk7BgRyw4lMQlTNtlDM0udxytFrx+rAY7fX/HxM0TsbF0I4rriy3tkDgw8cCXOL16sU1L1TPI0MJEc1etZzgKpi2WuNSqkP/GyIHW/ekH9V7fNRWos++EhqUw3ujTG5V+7y77IrRTwOTjCvqCnq0wevTPGWexTnZEimDNwRJD2a3lMfdTcXJueyZunhjbj6md68o34RdDB+N9JTiF6Ch2Vu4UCjwu6Fyr71yDxVF3z8zaNwuPLnrU4mrrZLXxgvmM+Hhs6CFmwbNup+YWNe7PiwUvDhdN5jwAreXGdJuq5zK/T9Sihz/ZgDveW21fp+p+rHV8rI1YXrQcl099AI9N3+zcQPEelP/HomgKORSr23yc5lOtP4/Cd4uHayMxBqz+H/C/813LurLiDWBCL82Lo7VYgs7F+bzbYQ5I05kggXcYo+a8sxshe/BHP7Asu9c3wfA7ggD0IRzMr4gc6VTNgnfTWWJLn57+ysi92YIXVHPzOGzb3TTPZnFeIf7iMcH5saGQa0J3fZsSSZPQGsySxc+t5+K93r2Ssq8aByuNFytYa2hoEb9MLS6XB5bYuqRyeBOix9Vb59u90K8Pppoiink95Hg+BCyupA3ObExPx66KfOiPWi+TvYWj0bfN/vw9OaAfZpU8Z7ttlEexoXQD0vsvQovfeb+f9OyuReZU30Ehpdl29q3TFbdkecDDeGX0idifCb6PNMSuR0njIUsUT4lLgMQtFjw9t825DZdMv8TaGs4x0xzVT8Cu6q0YN3I4DpkGd0SdziiLPee2ecu8YhZ4phGiu+ffrf09q+A74KXjbauKx81Rj91ZZYpICfgCCVnw9Fa6JuZDQzdZgEekCP69YIehbFVz7P1vto75MvLEqQPg/v4obpAFzi7V0i842OtnXY/COmvesqjgPaGK1LqQeEDy2VXPYm7uXEvLhJ36zZ8B+WtcjkDGYsFDbF6ZlgfP5mwMbtgF6Z8xTwJnpeXsy+jkRmn/HHh7g4q217toimqZubEIi3bHpgpIXMKU7VNi+dxUl3G1jb6oHLBFx73f3gv0MEYC9Y4q8CzhxWxxe1/oxbhoMDISNt6Xaw6tweNLHjdFRk4iy5X5ouYAPpBz+L21aB+idr7wAlrjhi6sTznubw9+26p62hMSeIcxfiUind0LvG83q0vOOt/Jht/3XnA0AGBy5CdyXbp3fPjiZ/Hb8INaFM1uJpc2Pcc0A+8Wl2BMi/zxNkuMQRE1N4/9A396c+IRxDIljnQ3C57BRTM1SseuVvOD6gN3HtlrBbN62Hdck/qC1zFUyY/YEokIgzkY3NcYgOqDttfAa6RPrzkXvZ7neCx4gR7bUeXZ3dCZ//btjWm1fzFMzG/SJSWPN3eW34P7qF0JfWfgGpeAIE0+H57q31duo/IxVq2ydtdQC+bEgGDvtYZ1+jmZ1T4fRrHYHL3SJquFSuISJCnqKPDsqG2O2AbWAOAhIonIgqf7m0fjCtpjRjKN0Ouv15I9ZShuiFkliwPOMYu9CjxuM/qjCwKo/KFY8CoPYGfNPuE2Tujb89++vbW/ozxqCOikLVOI8AgeWPCA9rvbUW9gwooJgj0IhhcsnUX5oMr9ftQzZuu6LhJsEcH8J3UOnhpwR7cLA8xvdIMzW2I4ODDjLuDdi4Xtsduvip/H7pRe0XIMY6W2803PrppueAZKfAzPrXpOONDlZsETumgyF4HH1Qi5zs+v8F2l28TL2zEnPwcvrHkB/13/X0Od6vmL+qJ4fMnjBotxfHuQMUfJZFwXRdMFt/eF/jyIvlWHao2DHb+a9yt8s/8bQ5Jye6md3P7Qi/N2459zduKEJ+ai2S0WhNYGMXtLxcH3XOvb8llC23UkSOAdxhzX5zgAQFZQFDlQzBWjjZ22P10mz6EJQ548YwgH3nc4dv3zGpw6VLaIcIdkoBmSD2fqBJq5f3RCSP4omt0SVV4uKTPM24mXTM5dLXh6QZAqC57tqDc3Cg0/tz8XXujZ1BstpVbLhBupctFULbTpRSuE50B/ZdQ22Llo5gWDWO+QikHFS+oAwPt5jselzpdehn8o4iZZ+DJjARbqdeIxXoHnZMFTmb1VHOAk3lHTCsXtzyLwbMrrO6T+zHzDulrdMd8zZJAheq+408khSVGLi6aXy33fjA8SSxnisBfJ4DbWOguevrOnOrqp3PbuCkv5vQ7pF1psQu8v31tuWsIsv7ZVbEOzEhDFLPC+2/4xrl/+OOZ2y4rLxmwXICIiRQw5NwHj/RiRIlqwFJUtZVuAuhLZVSy2ldW9zXwtlAJrMjNw7bAhDk+Y9ZsXiegTUMuolqCQFEJj2N5ljQVMAZ88BnuxwzxI5kfMgvfc/uuxNP1hW7fP3i2FhuO+uH8GPt75MZYVLrOUVcuNemK2sC6RCJMk4Nmvt6Ou2XS9t30B1JdqAk846FsRGzhwzZPnuFamyZRHUxX85lynNS3G+dpyA70/xxe9Zpz7JoE7dtL1bTe/550SwIu+VXbWMv29bxcoLvFJEeLrU6948oSiEr7dXgK01BvSiwjbafM9P1AuTu0l5Ltn8Vv/DLk+j6kzOjIk8A5jnj7nabx7ybsY2n2oa9nPC4rx+oXv44mfnoj3f/I+plxmDNqgjt5y0aOudDaYaT5Cr2gUt9XIERYDkv2t+EBVNR6trHZs348bm5DZig5R72jUfQ6e7sgSSZPgBTtrEQOQoXM584Ebgr7Eyw8qj0Ko6qy4t0tVkJWgciyDVjyFDwdZJ2vr56s1+Hyo8THUOVjAGj1Yxwaj2lPbvB5xJElzCRIlkJUcgefncJ0fyPziY4133pgWpEJ5diVN4Jn2r855cbga5kTscnhxebsvNloFqcQlSFGrBc/LaHTWkR+g2HFOrfOzKdpDRLe89XPwTJYd3Q57nPAXS/mCoP2x2Fnwfj3ZaEE1+2+HGcNNX9+EV7Y+ZSynWNnUSKlTevbAqUcN95zjzy7Ee1gKgzF7gScKYBLlUaDANNeKSVbBYe6E6n473gdcIPAEAlU/YFgXVkScbpnqUsj8RoFnFp7xzsEzD5Kpg5hqPfWMYXOVeJ6pD83Cu7wx3GgVnkx2ofYPnItGwbtF1O49pQ14Z+kBvL3ElOLls18CH10HcI4aH8NK82Dels/l1Ad75A66WxRNu4Eaf+YB3LfgPlvX+/3BAJZmGb2ShPemg8ArazRGjK7s/S9wztFNy4fLsMZv7+apf1eZ7wW9XjMHDBFZ8JiN14H+PWT3/e+PGlzrWww8N1TLpSqk7hCw73vDIqt13EhapAH4x1Dgu2ccy91yhDX9Eudx2hYX/wuPBOXgLakazG5LUirwGGOXMsZ2Mcb2MsYeF6y/hTG2WflvOWPslFS2hzCSGcjEmUPOdC50dDYA4PhwGOcPH4eA34dxg8fh1IGnmgo6PEbKy4T7AoZyP61vxKiQ/DJo4vZugTfU1iNDnVDt0NSsOPy1zTxRUeUo8Po3dTdY8PI8dkbixuYQTvDlI10n8PwwBn2JlyAkeAtdYyTVFry3Pc4jPHfEkXjEJleaV3rCm+uZZ4EnGr1tJ+p9iQtxL1vaCTx9Ml0vqPeTpXNi0winVCNmgaePxrq10BrRU+KSME0CAM9uUQkj6ExJjBkEXmsseMv2xYKNeMlf91uHZ6mlRZzmxHraxBdnX+12Za0iUhR7XUVAfv9sVjro5pQbAMD3W8XF5BXinI4RKeLqomkmLIUBcyAUxq16zvLmM/62u1+ZyIIn2VvwACAasYqEzECmXN7kotlagWedg6e4Hirn7ckB/TAt7zmU+a0HGLGZHdYUabLODYQ859bXbwUm9epp2UYkwtRDCYmiYNcUAlzCbwcNwL1DYsGuthVV4Y31H8tf8jJ5PqbbHLwrhx6BN3tb25Q5/H0sK1yGiqYKy7pD9dW4atgReK1Pb8Nys6VP3pf9c/yjz35kWcb3LcSNAUUExXE5zddetuCJKzA/Cz2i9kO3eoFrdyRpLIqX094CQvVAs8N38KXjgSlXK1E4VRdc54NMCyv1ubhMNgkGdcd8MAary+cJy0/cPBEPLXxIuA5I3XSUtiRlAo8x5gfwOoDLAJwI4BeMsRNNxQ4AuIBzPgbAMwAmguhY3PpFXMWFj6oyomO24DFwTbJsjx5jWaei/0Q63bBOkmubNMJ23bmNTeglSQgqnYPba2IdmkvqZfP+UVXDNRGSSlRX15NbjOLDElWUJyLPYvzK/y1eC7wW1za9o9FWuqXZo+YYXChMNJ4a/B6vp9cX/YYab8nEU4l6TA0s8Ve7pzlpzPt8QyeiDJi5odDqXmQqtzKN4bojBjtGijXnRSwY+n1s9Nxnba/dHDyJJePD2Lo5eBKXEG7FHLz1Uo7h9zn+RCL5ybSYrAwq1ishvjY+s2s+Ex+X5Tk7tAXSBz+zlPtwtXjenkjguVrwpCjgM385RBEGJWDdZN12JmElbBEAbrXuRXQCThN4+rnr8/5s2SYjIFuKzALPbF2NN/mKxUXTZMErCth/ZZq5OOhWU6RJKDTVM9bMGLy49MXSNAjewMwHgMeC3Cj8/IMX8SZ246OePQDlvnOa3wcARcEA3lCE2rtLD2DXoTplF/J1Elm7FpXkCNv82JLHsKdqj2lncXo1FOsjY7qU1f1tmY/p8H0zH5N8/9lY8HTvIduBN+hzs7p/P2Ys26rtTXh9AQT7Lkb64Omxa5Vg/2tF2dfa382RZryw5gU0hBvkNCgFObbbpaqv05ak0oJ3JoC9nPP9nPMQgE8AXKUvwDlfzjmvUn6uBDAMRMfCYyCIaONIAEZhoj2YqgXPFGa7lyShWbE0SFI6Cnh/cROUV0EF75Gwg6Df9BI5IhzBU+XGkTnVgqdPt6C6qlXxnq0SVGb+Wi7OERZW9mK2zpmPO8i5Z4Eiws85LvXFF+FL/qSmhrYQz2bck1bIeE2JURtpXxdNIBZJ1nu+OCuVNgnk9WT4knOs29PT8fXmIkiOHWYJ9/fOwK70NBQ4uMMd8hvX1fbI09yO+jPrKLwq8MwWvCi8W20TRyDwmNFFMxRxcHWKgwYfw92mlB7xUGtzL1nyRHFxucZmY+JsW4Gnrq8pBL7/B1BfKuz6md0wVeZtL9IidKoYLHiiyIE8Avh82KPzyBC5qnHOgVm/1X7/c7YxWud+W48O6zkJC1xeq3TfxkjUGtlTTXrPfDGBF5Ei+Pe6f5vaadMMAetL1mO7Kbeh32TBc6K6JSp02Xt/6/uWARuO2CCe3dxpMxHegowhnyEkCSKLMh/ArZGIfxmcBQA4FPArIjA+0fvM19vxs1eXGpaFpFBcdVz71bWmtsZnC5Igaa6XboFT9DWbLWF6hyaz2DPXy2H/zvPiovlqn144b8QwWeR5+F5+vr4AEeWdL7LgMTBkDJqNtD5r4MUZxUnMBnyxe/zTXZ9iyvYpeHfLu+51tsFXINV47eMkwlAA+lnwBQDGO5T/NYA5ohWMsXsA3AMAgwYNQk5OTpKamDzq6+s7ZLuccGuvuj7bQ/lowyjU734CRw2bil6RTQCA3dt3I3ggiGO6j8GR1Qex9UCpYZtfV9fiAzUkPQ8iyn3Ct4w6qhiB3/MjNze/0PDbLPB84BioROZUXw2iICvqulL0wTFJFCHX1tXjWUGQDbU7YE4TwWA8NT0lqVWC04/4LYCMp1Dg2dR8cksLqnx+FDrMEUqUTI8uvYnbUdoeP2TxHmFAI2MYP/LIuOtwy6cIALcF5mBqAu0TUVFZDF+GUYBFdW0Y2ft/yFV+tzgI1//1sXfvvS34Dd6Ecf2u3buQ2dxkseBFmBK5rjXzbN06dQIRoXfTW7VtDxpCYTjEpcLr3+9DjxPcm/JZzx7uhRwQDXDk5OQgGo3A7JMhoq9UhXRUoK7Oh5ycHDCTwGOcgyuRKHNycnDa+sfQq3YnHhuUjdlHDbdWaCPw6ppbkMUaDc9rU3NMEF3z1TWWbVpCLdi4eStuM0R8lVBQUADoZg3s2Lkdl+lKmDv8X/ToLmwTJJ/lRTttyXrtRW83FxMAqqqqtGVSixJQRGfBW5izEKsOGXNS1tTWYEVGOpZkZYrbo+OOuXcAA/oZlqkDi4sWL8JPXLaPMvH3oLSpFB9+awwWwsG0b5roftqwcYNl2Y76hQj2BlaVRbWe6qqMdNT4fDg/HMa+rVst+x+JCgB90eTzYc/efShszkFhRSHMbNu2zbJs9ax3AQxWXEJjz+/yVctRHLLmwnTildmvaH8HIZ4zqmLuV+3bH7NQ7z+w33E7vQXVPO921epYqoy1a43zZXPzcg2/JdgHSlm2YpmhnIiFWbLnTaXfh21LFyOc1tu23YB8P4RCIQQBrFgVC/qknoviQy2A8travXsXzgfQ3NKMlaZzpZY/12FftfUxl9Fde3cBAA4cPGCpA4j1dQHxsXa2Pn4qBZ7o3SW8gxhjF0IWeMLrxDmfCMV9c9y4cTw7OztJTUweOTk56IjtEvFsxkEcqmlGdrY499EJm5ZgR3Ft7Hhy5H9sj2+unP9lzBFDMfj+mfjj071xbDiEm29/QB7lPe9coKkKD2T0xarP9mNbCBhSPRxB5KFFHWWTgogoX8KF0dOQhe1a9WqXbmDv7kBNtadjHBIxvuwCpvl1otGZ3opfuj6fnnrDVvMeSbXg2Y33qq1yDlwO9JCkVpnfA/FOPoYsilMWZMXmcF8/VIYZPbobwqEnApcCYCY3vSPC3twME0lq3174uPy8VPr8ltF5rzR7sP51Y4mFnhYxaEB/hHr3AnSZDPT6J9BtB4DEjkXlzb5W8Tetchr6jrgNLVUmgYdkWPASc9H8TumY760PAD5nkZg+UByRsC3Izs5GIMc8t8XGRRPAYFYJqecxyM4+B9j2qmF9AEAYcocqOzsbtdt9yAlnYmGaOFKrnQUPLIq7A1/jLZ2Q9wcDziM0PuD4U8YA+uCaTMLQoUOhj8F0/HHHATqHB3Nn2G7OJhd8NdJ69gbq1XqsqAG8djfv1pb16tELpVWlCPZery0b/8PxGPbdIBSVxXLt5UV2454h1mATXlEteOecew6w2Pk5iDg4Wp58ysmG51lCrLMZgfX7e8oppwDzjXUEOEeEMQQzfVDnctylHNuWSo4TTxiFpvXGd9V0RWg3MoZZB4EBx4zE4CMGA7sNxVDRqwIweR6fue4RXOB7DIukU5DW/ztt+ZjTxqB3XW/jPeLC22Vva39/nP4M7oD9NbnggguAD2K/jxxxJD4/II8uDBtxJGDVogDkZ+XD9bHzaB50OP30cYBya4w9fSygS9M3ZOgQQDe1Vj//18w/i2Ji1W4OtNpfCTOGc84+Gwg3Aq+cCtz9PTB0LDDZuk1aWhoQBs4843StbWofc075ZmxQgl+eMGoUsBfISM+I9UEnG8uHc2waD6BUytX+LsmQ5yYPHz4c2GqsA4DW1wXEAq+z9PFVUumiWQBAP3w8DNrtFoMxNgbAOwCu4pxb/WiIpHPrWSPwfz+xT2z7+X1nY+ljF8Zd76f3yFEZszjHLbX1MRcefwDoPgDpAT+uO91oUdCsBTyIsPIJmBo1TjxWXTSZZa6EPeb3UMDDTKoba+vxx4oq3FYTcwlRt2pBmsWq1lp+2CiakC3vQxRARX9MrQ3x4hagpa8p5cRnhcVy+Pw4er7jm8RJhEXYuWj64D0PnTPWV92AiLd696elKKBOCvCBI8A5pvfsjjsT7Oj9IOQ84gw4BzuJl8GRA9ZgEW2kqSce/FBLrq4SZsxgQUwIV7cskYsmQ5nigur3cdfoKGn9xNEN24LS0q34W/c7jQttLpqPy65d2lqTQFOffdVd/zFfAx4aPAAtATshJ17OmGS5L6sanQMpRaQIikPmoBBW1z/LvswCz6ZcVDCRRxIEe9EjitAsckFribbgiDRrcJDWoKaE8RJ5N8K8z1OSXTRjIsD8gRa5IqqB1SJc8B1hPuxsslrVGpR7qJkxlDdG8cSX24TnbubemcJ2jmCyKg1036kt85oH0g63d6XZHXZ63W7NU8EtAInTVdJvaxZ/Zndl2UVTvK+QbqSjxufHhH59LZFQVS+rMBjAo8AeRa1v+ti2fWU+YHr3bpBaYoOFSwqs77SYa7f1RE7fPR2A9/tw9aHV7oUUzK+z64+73vO2HYVUCrw1AI5ljB3FGEsDcBOAr/QFGGPDAcwAcBvnfLegDqId6JYewLA+8Qe7yAh6t3GpLxNV4HEpiKhyO/54lHEuniZG/O4d7ZkFRXisosoi8HyCDpdVBAK31dYZxJP2yuMsqebu20OP4X8lZbiowTiXSR0JTraYNOOWYiFD5744NBzBqFAYLYzhQByuks+WeR+vsTteH7hrHjpP50rQ+QxwnyGgTleAIf6X+umNcgfj9ppajPCY4DHiJTSjRx7OexC8xuhGJcp7mAqy/JmCICus1WlQnCLnydgHoQAAXpuPIHMX2snm/MFOsyhi3DT793jS5N5nh2z55wj7SuSOvM0cvEbGgLpDKPe5dKgFAXMAACxqMdaZ3dbMRHgEYXMZZs2DZw7lbr474rlbxh18U1exoE2CymqbreckJIUwotsRcezZHdUSo86JdXrMI8znPdIgi9UdYVYpIUpFkKm0IcIF9wPzISh40/VQtmnyxZLPxzN/LmZZjG0Tjobjjk6qZ2Z3+wjhAPDaBmOws1JdJE735OX26AWeeQDNLCqdXDT1vNqnF6b37I6vTcek9ieafExLiyU30L7Oh3oFMGFAP1S+H8vH+8DC31jKiYKoqkxYMUEuE6fPhb29MobZW2lwVuKW8fYiZQKPcx4B8CCAeQB2AJjGOd/GGLuPMXafUuxJAP0AvMEY28gYW2tTHdFFiIXKlh/8n9fXg3MfInUnaQFGbho3FH2Vp/rWmtqYk4sHC94x4QhurbVOyjbPr3OaVGwopwpQME/hxr2yWholXK62SXSkWS6JPuPBzYKXpnsx/00JRlPj92NDRobdJhbiebl0sxN43P06eQvQYm1NOqJ4xCW/YmfDB+/RQVUuq41gycECPFpZDT+HMG2AGY860BMRANGQ0eUzwhgiADanp7lOdr+4IfGAL1n+TE/HGzcJzMHTi8ozsald8jA1h73ttTrsPXlwrc+H3FHvIi/rKby28TVLIBT1/Df4fMDM+13rs3XRhCSwvLq/M82d3WDPzdjSZMzzGo5GBYH/Y/jjuFiZIXFUUhVRqpjGsFXsh6IhRJM8EKjelp4seAC+z/I2EMwR++ZEYBUmohQWmWpqJMk6CFfiY9hRbT2PPZSBSQk6gRfHOdLeNbp7NCTIWxgPX9nNz1R4d6sx4EeLzroWdUiVsvDgQkfLlSRxDGDVANwteJLHd2C5Egyom6kvol7bRsZQUFkP6M795jJrBF8OhtyAXKZJEEVF3xzJQzTheHtG5nPupU5f0cY499L+pHIOHjjnswHMNi17S/f3XQDuSmUbiI6J+gAfHwqjfudzAIBomiLlfEEcHw5jclEJRuvTBfjdb9dV0iiM9+20LDcHWdEbdJxe//p1S6WTAeS6tsELdp1W1R1RZJVSP14fFR2yrIsXNwueOto6MBLBmYLRYy/Ek0vMTrz64C4UsySOJpdCInGewaOe51WmS5JjgI+Ogo8DgpRVjvghobdy/gPgwkTEZqJJHO24cMQwnGi6H6MAXu/TC+8IOrvq3ByVK+sbsCDB9BrduB+VKZlj6dzlOIkdgDnYvyG6IBOJldSz7kA14MXrT5DA224ErEYXIXJ9yXqLi6V6LZsYA0IexLrDHDxLV9DDfRo1dXbTB87DPlOf/uvNBThKN6fV7Dbuxfqhoh8c8bqdyK0zEm7y4EwaH+p3MRRxn5+c0zOCJb36CNc9uexJY72IDTxFGLOILlGEU1U0Z4SKAZPnyMU9I0Dx55Zt1OsiIfaN9WrBszotyrTWRTNeQroBB1FqD5WHcx7Gww71+BsOoS+rRSXSLOf7i71fWMp7uRerlAjLPUzfa7U/0ejz4Za3l+O7q+QgcNOa8/Hs7FuEdWkDO4KUPvrmmlOSiGjtlIGwFEaABQy9MsvZaBFEc+3gdPweC9HhOWOk+CXvjPVlMi86Tv5j0EkAgLEtLUZLluBF8Mcz/ojf/OA6w7LslpcsKRdEFjw9tVwcdSxWzod87i3U+J3V3t3+zO3ozmT3jOGCACCqCPKSp4y5iCt3t0dx+1ROa3afX2fuAjq1KcPWRdN9Dp6bWAWAdEES+/Q4xv2SGWAnlTAPLq1m9Oc3wLnQonVflXGeUtDNjS5OciXjfNRmn08o7gDr4EdrUmxUNBfbpgFoFS4WvKv9yyzL/qc7Xt5OsVu9uC4BwA9QKljq8TrYuWj65EQsrrXYzcHzhQWuWh46hwJxYSa/uh5/1bmkep2DJ0JvqfXaLxXdD+G3L0S0qSqOPXunpbYYZX4ftgiSz6uU20XGAlBQX2D4XeWLvaW9umiqZRq9xMlXCGmiDpC4Oo/N23v+sx7dhS6aoWjbukrPaohFzhQJXz1O3g16t+L6sHtQrEa/+zunxqemnjCifnOaGIMfEiTOcDAQwLMNOyCC60bY3a5vQUWDsk/7+601wd9aoi0YO2UsXtkQCybDIFmtoyESeERX5BefAj97xXb1lF+Px+o/X+SpqoCS7NzcCR01uAcmRn+K8/g7QJ8RNlvLT9wPqgfijUNyB+O2E2/DfcfE8s7Mip6NXD4Epby3YcsMFx+aZhg/ZGqgCe0VGUcf8tQW986v3YtZ3c14gYDqrnRk6z10SFccLHBc7/Y6dBNN5zc244Gq6rjq2Jybb1PSQeB56Ly7ia/XD5WCCV51av/ESzCYVM+JTBY+eBO85m1U/JzLE+VNXF1v7CD09yU3HlZjHGLbbMdvzbWp9fs1N+yk4mI5ErlW6S12kksEzVTBPEa3SReec/frUF4fsqRJUGnwMXAeRYXf+Ylmfpv3q68FEovflV0kLqxIBrd1n0lwaSmeLefFek68xe411cKtbYwwIFoXX/h+N9SOcvq7F+Lp/s5zLOM5jnuHDNSeM6GLpoOQ8TKgqaIOTnEGbU6/V+p9PnAw+DNz4VeiLQJtL/AiurMTcZlD6nSnc86xV0kEf/8Cd9fnknT350C1tpsjS6u/WhiDDxI458hxSNWhj4ng5jHyUrFsDQ5F7I+2NW/LemV6gBqwBZC9WiyisXA9Ohsk8Ah3jr8UOP0O29UZQT8G9vQ2N+vyoy5HqOI8nFT+A8Fahion/yDlRTCu9Dicp++Uqx/V/sdDOv1X8iLTw8lMo3gZkm6sjlk/OJ8WHsKq3Hxt+ekj+uLIPu65hQC7zo8RO4GntlKvR7/Pk8WaGtbfS3fWTjCJCHCuTWhXUfdv106GWB5BO9J0TVAFuR0ZNjnpGNytjaK+9Ck6t9Lzm5oR9lk/XmqH7R2XtgEp9mVPMvGmdfDrng3Zgmctk2a6n1Iyb80j5jmGHdG66gs4j/a6jTgn0wU2Hrx2CLy840TkltXD7xO7YTYyHyY15aE84HxFAz22CJczXwsiYMiSOH5ZXYs0zuDlbekWyAKQLWj6Y45klJvWy5jPn3m+IWB8Pr0+RcGI9X4KM4ZoxBqJuTWorY0yCN8DhrJxvgLUsyx6P4kEnlp/PHeaKgY5gBZfBGn9v/Uo4GP7yhr5lmFZPNsnm4jLvp2uQXVLtad9xDNnW93dxN7GfppaQ0ix4EXBHPsg96fH8iQ2mAasz/7HAhRWx+5rKU32HpE4cNnEt3DJZ1dY6muNi6Zq4fXpPMT8SXd+bh9I4BFtStAfREvpFUiTjF1mn/pi9vCysZ055U/D2cfIrplmYbKy1+WG32+UlBpKmLPKpUFO96C+QH930XE491ij26cd5s5wPKgvKr0Vpp8ScOb3VdV4vKIS2YL0Cmb8AE50sCSqxz4vvxDf5xUKIoo6H4OX96nede48FytZpoOLplNL0iSxBO1pEqxRgUUkHte+zmLBCzEWt3Of/l7L4lw417BDCTzT785ybfS4BalJZpTSeAhI3roEIoFna1nTcayvAMwvFngNPoZlHjKS+NPl4BqntRg7v8zXjCiT72dv0k4m6pK2AAA4wtgfjDWupu9Ww3rV7dJ8WX1pVkt3IhFaRfdLGAxS2Hsqmni49MihqPY5C+14O9WqhXpzepol8IhI4KnXLx73O82CB4Z9A3YgfcBCLDy40NO2dvdLlEfjisSZTMKuLpr2VIa8ue8OdhmoFbE93ejxpBr+w4zBB473lhwQCjx1yW9GxtaZXTSLaxrRcMgY5AgAwhEJeb4PUdxozY/ZGguencCLdwCjI0ICj2gX1KAnBUfJ8+fUPmWmGmglILKWyU9c2NLFi70sLjphIC4+YaDlxTdj4IP4acuz2u8jdS+12r6nIN1m1FiVDyyOj7J+AvLd1TXCMnYvZvVjpo9yqe45k3OUVvzE9aH9Jl9ON/lhUQlW2bhFqm5MR0Si6C1ZR6vU/qXTB8QtCIQfsnvkJ4XuQWGc5uA5RfhKAxfO0fMi3oKdbIzOi5AJeczhpj8/+tK9bdyR0ky7nuUS+juVmM9DR7TguRFx6bS2m8Dz6KK52MH9ygmfr9H2ed6bloZVmd6j9B4XNnZMmT+ECGMIcNnDgAOeRqK8WPBKsuYocwTFqFLTy/xXfZe9IODNN0AkCmf06IZoNLkCT9/8HbqgMiLi7VSrx90kOI+VgkFL9VsYimMOnnqeJABhv/wuM0fBdJpnKhoudJsHl0pcLXgOx9IYcZ9399ipD+GGutbPLdNb8HyQUFzbLHTh5QCKTS7Y5iknwb7LsffIRcJteVT83mmNGFufLw/CqAJve1oQ/mAFXuvTO/FKOwgk8Ih2Qc2gE/XLD2y3tAAeu3QUPr33bLnA0RdYN1Je3lH4MTVyIXDEWNN6ICstgHfuOMPyopaYD1v50cK29OjdF32j4tDVR4XlF2yf9D6oaPI270hvPfptlZ3AE7+R1FFRNwuaHRmShOFKBLQgZIuMmSPq+6G/ycJl/li7iR8J3ixF5zc14yQPibNPtrE2MsBxPwHOhSHKuykun7+yEdhAbA6eF5oEAX5SxcOVVdhyIA+D6gYblnsRrWGP10WvH/QCubcuwf1zpTE3NLOoKvHYMU0F5hQf8aaF6Ai4WfDCygVqTQCZRLCzpCeLPS6iIR5Exr56xYLgg5d05TI1HubguhGz4LnvUy8Ul3sUyiK3xnnduyGn2f79lgjNcYiphnhyQ8DZdfzfC6zBOBK5E1UXzc0Z6SjvIZ6fGLAJujKtZ3ehaA1LYVQ3VyfQmtabgNzEpZPIrg+7B3u7cvglcaX4sLuG6v3fwmKD96J7SYJVjJWYBJ8vzej+rMI5B49aoyU/PWsbIh4HpkQ88NEaAICf+ZEbCODGoUOAke8lXF9HggQe0S6onUrG5Iebc+D+7GNwzADFdeO69/By9EbhthH48OfI3cA938sLBowCjjwLuOLfWhmzgBK5fvZUXB+Hdh9q285HK6owOO8ynNDvBAzrMczTsWXZzCcztEcX7UtPs09+gfm4nAPQjJu7ihfREoxYX5Jmq8+R6nw/m91x3TY/bmjEEJew2lMiF9uuGxCJOLq1OrkCyaP1VrK4hC0H8vB7G4ENxNd5FuXqsSOeBO9mLqtvwK9r5BFVc8ALLy/rMPM2B0/fEdW7H+kHJwbqxF5H+lCYg8h0pvmRKm5ueuqodqIJ1wd4CHMv4ga2PO5tWsoFg3FtgMhaVun3w8/lOcRyR9L9GXcLZOEF1X3Ty3PyTP++rd6fSqVd0vc4CTTKg0mNuoEs87xsMxXBOIPZONzKQWYdBEwk16bbvEHA3hOiJBBAkUAU7t84Gf9a+6/4G5MEzDkazTjpGi8CTx0MaS3NyntKnYMHiAdFOazP7fJM4yBHOsSDvRxcaMF7f1mupRMQaDjSW8MBLeiTj/lQqYrNgPc8nx2ZjvTdJg4jVAteRrrcPStvMD3Uad2wEyNMWykRnMw5mALpwK/nAUeeoS2yCDzl33+FR+B1JajGyaEQ/ltShsfPfNy2nWkAMhtlYffw6Q/jy6u/RIA5dym9RHGz63YEAvIj6QPHY5XV2HLA6G9uG31TmdPoJfiBKO+MKgp+qLjKXK4kj+4dFR8LR8yyNjgSwR0CMaqnBt1wKOt42/XdHUSxNfR5jKCNi6YXka0XeNm6ZNkn1fTC0aEwjgzH3GPiCVxyVX0DLowz+fYDVdXg0XTcURNzl8lSHL9GlowB4G08OKQkCHdDfwek+WKdK73A89mUd6ItrGnmOSNxGhI6BG6R4zY7hKf3QqIf9niCM6nwqHMiZzNuwsEL4dqTEBW8m8r9fvjBNQ8IUZATM0/mfuhaxo3cNFngtcZmk4hXbnO8OVFsCLYMACDPg9Tak5SaYzi5JQ/snWMtn8DghpcBEbMHgJ4rg1bXwH1NJYKSbYObBc/pnDY3FbrW7zbH3StqAvSw4qIJKHktTXBY76tCU47Dy/0rhfvgHIAkfi+aB4Gvi253bbOGTuDFk8+yM0ACj2gX1E559wzZZaeo2uqDb05OrrpoRjzMusmXBhh+n6MEXzk72B3n61xyftTYhIyA87wPVVSl+9NxdK+j0TPdOROwhzgBrlE07R5Mu+2aCm4HAHT30HlqdnjqH1PcA8c1t+Av5ZV4Sxdh8i/llbF2MJ07KQdurnX29w8gCvjtz4w5KIoep5HcABefkSwPuY/0n5VXS8vxY0WUDWrshw8LqvFNQWw09//bO+8wO6qygf/OLdtrstlNb5vee0ISQiqQBgFCh1BCJzQB6RAUEEUB5QMBRVBpNlRABBFFRVREpaoUIaRtkk3d3Wy57Xx/TLln5s7cstkl7fyeZ5+9d+6ZmTNzzz3zvudtp+zKLU4h17iwmliccz4Z7XBnXRz7GID8uDE+e3nURnSTECLntP+qulSg3DdVdsz2iJ/H43FUW/Ie/WrdxpzLQqTjqm3ZJSbYUyyBKFOpkfbSXqW3IMuaYQ5kbmJEezNwqsRb+nta8LaEDAteOiG+M9kTpag9fU6IzDVPs0GYC4RqRsOOrsSYTvnalpd6tu0ZymV4kU1JhXThB14LVJniZf3Z8+8lUwxeOqtowZqfZzy+4cq85+w0vyvLgicRnl4vXhnL3YR96lwmpETK1MX1UOm7nNzTGc6Q0/ynKHjp2B9VP63gafYKloJXaK58rjikf0qbnpOW8nRsdsr2OEGqS9OvcPdccEnyzbjTOHlKH964fh7lBbk7dLl/2D9c+ENa6471bAvwnaJzuafvMoZvS1cb0NtF03rM+U1QfpOMNJWAogzKJ0CrMu82T7vC8Znq4nlSYxM9FDc9NS4wQdKyZmWt+/7GzVzjIyCHiFNd4b/Sn24iSmvBk6kuH6F4iCVN6V0svrJla8pRrcNIKYgRdHx+7fYd/HL9xrTHVMmmfp9KCLg89Ixj28pdDdy/aQvdGnvwjc31DmUbYGCk/em7VWFLdc9Vk6n4FZi/eI2/S/PnQavS3xAyZ8F4eJt/TGh7Y19zZVswSJ9IgnIfC/me4vfdZSKXuFSLPnjHzPjRIVecyPO8xpgQBPn8YxctOsiglhN7krXZogeGB4bfvNARuJWRiqaaDj0+pE/IZZEuWZWXStkeS2JH0ZYhiU66vm3OUG4EDIV2T0oMuIkIQVAYCt7OQJCw6ylbFwxxV9fKtMfwmx9kQoKHglfY+4mUUgtelrgJHrWFjcZmwr/tnZORdm+iFTzNXsEy44tAkE/uWMT1i4antLlh6ViW3aIIvebq8iXzh/HcJTPTHn/GYYfD6l3G37L7EUIYtfrck/vUCzL21W0j6lvWl+jOKb7tTzlsLPPnfJmq1lrH9mGmYDlvh79yaCUGuCJ6UXJjFzU5jPdsLEw3u+Jg5iQGqgWvqLKn47N0gpGqdEqEbVmzhJoJbW0c6lPCIUiCQMi7b35WSYv0MXipMQSzPz6C3hlSPy9J60IpUqzEAhgYjaW4zPqR68TqJXQEMZLUlIg2Dm9uSUmM017L1YU7djkEA1VNdBZz9qZ7TDDAR7nsCPk2L4N7rZpVLyxlzvchIuDpDXWecaPtUXDaQ30oSFUikjaGZk9ob2bRdOP2oU1b6Fk/OmX7haHnO+wcXnh9T6eKP7iWYJK0CfG5KeodSXtiziA1w217mB4x4oarlXvd0YqN2xIW7KzBn4F0C0LveSQB+iQvG5+czuH9HemLa8eALnHvZ92vs8h0/PAf/pdTGYpMRISgqWgDb1f/m/pQgJqAcyH+uZJiXi5OzQGg4icPdJNbGUn7n7+rfOLxhWkxjCSirHBZAvd3tIKn6XiGLYGS9D8US8EjECTgk8AiEBAUhFVRxWg3rFcXarIsrJ6CKkjPXw0Lv5pxl19cnF6ZBFjauJveZsxWSaG3dfHRus08WzSGV3ZM9z2OJcJHE8pDRXEhdU9+t2zdxuJdgxABI4axOJj5vggl5gqXS1Y6wUg9sxGDJ1L28bMchIlB0Pu+LN7tbW2z3OXSuciEPB4HvnUSM2AdJ0aASDtSd0xqabUV3FwfmelWle8KP+y53a84fCbciQicFjzlu/Q5fB6xTq0RVJzBTdBhwfOw4GYiIgQjI1EfBe/zUQy2BoOUZfH95WoJTu7nvX15Q3pX4zLFolicSHDmzgbbNTggpecvK1cLaq5Dx+s7OVR84Lg3UnETbQ6IveaieVpDY7tjDNur73REuZfRu/P5xfqN3LkHCaIy8XBlueN9R0whfspNOtI9435UVron3clIpmRkuWKUBWn/9//cGx+2e2HBiyiwps/vWFuxgbpQiGrhXS8vHV4Luh+YSYwmBj/Iqh9e89/kVu/kLUXCCC/JD/onZNtf0QqepuM56Qm4Kv0P8T05wHjRc3zm4618GQ67FgrMB8SeCGGW8HjcIzDj8qx2CQdTZ5w3bnC6X/aIxXhmwyZeX7MOTF/uskLnyl+JlAwIFNEc9X8oWRY8x0PIoeA5Wd64mxkNYWLNtdSWDeOyyokpx/zt2mSwdUAEuHbaKuVTV0ZCCY9XX+XZt6DbRdO8LVsSXXk/YSTE8ZtQgiQcMXg/XV/H8EAxr6zdwBe27/Tc5/hGY+JN9wDqGk+kKJWxdk5r1lFayaO8OPc6X49u2sIDm41yG7mqmNmok2dGrna8b69rlrtIuToas7HghYlR7CPE5hr/50Wm+Am1/2Epc7bWWO48ViKe4W0RBpmxj5mO1RHxTmAIZtkkY2rvA9rPqnlUBtfl6nhSAP3rZ+u5csdO+saMhau4EJ4KZ2fXIfQa54UJl+VeUfCC0vv6V7gSQWWyFLeHoZEIb3y2vl37tnds7YmAbxFAUhuNMbm1jV+vy5ycoyOoEXse79o/mruberbKf480z+n20tFHjCP2yOvgxfzrO9SCp5ZG2BAK0SXiVKq8Eq+48bqc5b170BBIJnDJhN9Cc2+P8XJ1+GkACml/yMO+ilbwNJ87T5wzldrpx8Ll78KwxZl36DMF5lwHhabv9h7V/jF/+OEiO2lLZlLbVZcWpLQolJJSKW0F75ojhnkeLZ5GsMgzzxVWJ7I0FjyAMpogUcB35j/OoNoFKZ/XKKucb694mxVjj0p+6LKWhKXkH12X8s/EoJTjqFnepEha8J6IL+CluJHB1C2cPxWbA8C/5CCHgjc0GuXHXWZQHY/7TkLWdvcD6DDFDfT2+m0pq3XtteBZxAgSCu9hFkMPoasmzeqtKqT9y+PeA7yacC6GZFIKpU/yC7eCp7pi5TsUvNRrmNbSQj5RFjXlliU0E+cq9QpPzWBlUh/DITIrhD/Z4Ex9biVvOM5cQLh7S709wjIJSx1puMwm2YhX0gev8ilu/PqZyZ2vOhanNJ5ghFKX0vp9xYGQh4DV2ZlTvb6TmnjM8bvPRy3p4YzL7BeN8sTGTY5xcnxDI/ds8a59uie0t6wFQHk7LX9bsqxJedGOnQ4XTBU1ZsmtAC1rzFwwuz1U+yh4bVtnZ32M9sQ8ZqsQZ/omlzbmnko/XTx5e3iutHiP3ZE7MgZPLbMRE4KiZmd8bmsWvw8/JfiGqq5Z99VPpnhqY2pG1B6BLR4tDwy0gqf53JkxqIobl4yAir657VhYYfxvV9FRE2tyd080Pu6Dnm29mlgvxpwIQxcBUFnsccwMx3qIai4dfymFceWhnZf0WfdabZvaPcAtS0fQrTQfBs3PGNNm9MP86Xu4aIYCqTFo4FypT5BUAEb26EqRMARCdUKZ1nof18XOZUbrN/lxfDa44wPDTiuZO0ukpSS5J3U1o+UNratSrla14B0fuBuAy3yshCrWYzImQ8hAbnEXKX03/6sCVY80cYGqG9rbiYG+7VQypXSWce8YDLcQWqUsAITTWPD+tmYdD2yqp5fYyoqGRtvq1RFcumMX0ix/ki6j6nENTVyvJPLJJgbPEgJHtjlXk+c3t/Dup2sd8ZqZrKLtFaW8XMlUBc8vAYDXUkU2SoRXyv0xrW0ZXVArEgleXbuexxVByJqJEnjHtuW6nJKrPOke50PaIgyMOu30oyLO2F9ViD91VyNj2iIp46Qjsnm6cS+e5EJFPEH/PUiclIkLdzbw7U31nmPx8OA/7NfuMZJNZuZc+doW/8Q8kfojsz5Oe5byOio+M5fY3wLzHnakO2QmsrUId+S32+wKt3EvzjQHMqscfl4gm0PZf3PWEc5zxd1VeIzlB0zX4QYPTy1Hv7I8976EVvA0+w9TzoeirkaMX3uxFBp3StwL/wzHeMc6ZSOS2C2OfRjC6eLg0h+rbxzOHXOuY0U6kwWvoHogZ80YYL9vLcgiO5lZYJ6wM+A5JCEUDDC4e0XankvgnJ0NnFZ7DE+ffAWnTehqbweQiTCbMLZtoBsDq0ogEOaIpt3JB49L4XusbjN3KA9+6xvKlKbaPYmpFrxPA8YiwmBFGXl5bXoXpEaKIJh9DN4puxp50ZVh07IWnL8zaW2ZYpbn8BKy21OsO5O7nZVZ1Y2qjD5ct5m5ikVUtXK4lYQiKQkDtYE6BIa1pyOxCs6Wp4mrWb1tuyOza5DMLldBJP/6dC1PmErLUI8smndv3sqJDY2UNXdNe6z2uqA+sCl1lbhASvv3PKzNW7D3ekBnV8jeyZ8/W8ejdZszxmuFMGp/qssb6kJL2KPKYq5xi7la/NzX8rONmxAkBexBkQj3bU5a4yTO35M1G6jWHkl6Ba97O2Ol9kQ9e3Bz51sShkSjPJshG7BbjN4TpdWPqS2tviMxmIMjo581Ll0yrGxdNDM1cyuX3dKMGWus7YmF1w+/+onZ1rTM1UXTL8Y0LyEdFjxIXTB7IYvEL37fflEikbUF1Dqr1298lcuS/XFe5sR0+ytawdPsP1QNgi9+AhV99uAglgXPNfSrBsPYE9t9VE9rSo8xUNnf1dA1QRV1cb6PGVYGhyAVSloC3We5LXoqHHmna2sWa3LlRvF2xp4EVUPszUEgkZBUnvAADD/Ke18MRbNESq4Zdwn5wXxKhCE0d4nHGRiJ0rLhVLvtoYOreOGyQyEY5uv123hnzTrWJrpBwKnWdI/HWapkt7S+ofKEa8p33cLUGLzko9dyh7WOVRgppnuGwPz/yL6p1kaF79Rt5mzFpfDQltTMoZYgrT7yL9q5i29v2s4/16xLyTaaa92ytz5dy9KMbpLOGzWmtc3ou+Lid0hrm6OV+qvItELdQPpsaO117UpnwbNQlYSMFjxMV07gN2s38FhdqptO/1iMG7ft4IeRpTn2Nju83O/ULep3oFrzvEZqlUuxro7FmOEaT24xqCwhyaN9cZvWrzQGFJCqHOc6dotzjH3zE+msfk1paXMkrJEIh9JpjRVVIJdCpFXwNmXp9uhmT5ShXh28YOJHeYb777a61LXzXqQ/R/Ik7oy8l7rKxaRjb1rw3G74D2/K7PLb/pp6/vgdsTDL33quLprqMyIcSy4iliYS7Ag65ar2JABKN/tnm9xLLeHk5vydDazIsa7t/opW8DQHF7ZLYg6zmk+x0aurDkm/X14xXPZ2yuYxvQ2XAC57B9nLSIry9TGreHPNWogb56qXFckdHIXYnf1+MzHU4cIJEIwrrmjC5xF45q/g2O8afZx5RernVYPgxB8mE9u4sKfNgHn8iCHMh4FfbqjjjLELeeXKwzh9Wj++ccJYIxuqqai+EJ/CcZFboS39JGtd6UU7d3HT1u1MbfF2Y3PHYaQoeMu+bW8RWaWqE2C6aJ6+q4FLXO6d01rbWKkoSV6TaKKLUfZDXbENAtNbDKXM/RDLNdV/OsHGXtV2XavA6HsIo0zAl5SMeY/EFpptpKN9Ot5K1Kb9/Mtbt7Mwg5XRi2xikZ7ZUMdtZv8zKRjq+OgRj1OiCD7fiC53tI23y5aanm9t9hb8WoW3k+1ZOxvtkirqinWFuTBxdJNTcY55HMc/Bi93gStoW/AERV4KXpZj9wQztjJbwdPCz0Jh/YrcCzxGDF6qq7F6lzJZ8NrLXJ8yMfsTbotstpagXFB/Ze4xOUJkToVvuZm2p2fZJyXJvHB0j89v241ldU9XmLy9+Cp4WS6k5OqiqZ4vmEg+/UoTCVpcLpi5Lv6Afy3D4ZFI1rZdS2n1s9Z2hlV6X0QreJqDCzsGL4d94t4K3orK0baQPDRN7MRxg4/j4hqr1ILgR+cdwps3zofKfrYVKy9USL7EVib/JpW6gIo1qTAvBKf/3H7vJSIGEoqC13eacQj3Q7q8F4w53jyIcxooCCvvJ630vCZbd7ASp/SZ6vj85qUjqO1WwpeXjUompDGVpn8mBlNPBexO/3C0TpEv4YTGJluQ2yrLiK87kfOG3sYOSlMmsZiSXCQhgXGnEC0zXFh9nzcD5yB7jE0eo9hwc/3i9p2c55HUwvHg8DhonvSOubCygLl36ci07i+v3cDTa3fiHuSy92RenXg/ACMjUY5RlC8rokm9lwFpJIZZ4FczMIvfUDYxF26ejczN2GZgNMbRZv8zreKnK/o9bPQkx/toOxP0+N4jYE5zCxGZGtPZ5iNkBJC2UG0JKl/bstUWEgukdFg9YmSfYr89NdOsbLbjW9soIjXVeLZC3OHmPfLLwJorcbNAsVtRC0qnAmFZbFT3dolTsbjQp0ZWOvq6MvJNaml1JLTqaNRERH6o47C9yW/Ue/fqZ+s7PPMjGItQU8y09QNc97GRzBmMu5r3uT0jKVPsskWmVmEpmZ+lQm/dw47IMuzG73oKMpSbedj0ZMi13qGf54GX50V7arX69TpAdoXsIbkw5vf0aY+Ct5fKNu4RWsHTHGT4uGimw0fBQ0qOadrNc+s2pl25XT19NRdUm7XvhKAwL0hViSsBS0mNUTtwwZcA+OPVc5KfKS6a586qhdq50MspmKo4LHgAIsifPltPjw/P8t5BuRdfjJ7rrD049yYW5n8/ZRd7ErbcLKddZGRFTcdow1ryasJUpObd7FQgx5zkaH5P9DjH+8WmS+LI81/h71dfy4kjjuAviZG24mgR93DRrJ9olH6I+Vlo+s+E8qTrb6RmXNpLcShCHg8xS8Hzi7lwPyzSKSG5IkRXFu9+MGV7MBAkEPcep9Y9G6woDkHgt+s2crdvQoTM4lWjT43LdAQSuWUwzXSGdCpbXtg5dqKEKEwkGONTM8kPt9tkKqnfr5pRThXSAiQtFJby1C0et919tya6OASnuI8l0Iv21Pmb0trGu5+upUc8zuCC7SmfZ+vyNrotwrjWNq7dviPls8o0ipHf99sSSCq87vaqcmNZcNXFFrcFLz+NMOy24Fsc1tzCaa1L6dVqLMBtlRW8Gjfmthu3pt6nbFDnhZpWp5v4SQ3eLs8PKvGdA5Xfb66WUgv1fhdK6aiTCYZy9m2PmNJcCGHUDPzN2g0McyVrapKpCt4jLrfqUjtpSedJ3ZkObY27ezfXc1OG71vt57XbtpPXWrnH/bPw62YmS+Uh5hyXq5IcB6ab8k5XkVx08CpZke3iz+XKnOC3SxSRVV+7xWJ2rVc/jwW/xbUDDa3gaQ4uOtBF05qK+ucUkO887xkjzwBgTPdJRu3AIUcA0Ler4naplBco725mWCwykkF4WRxSxL38UkqlRCR8VkZFgGu3bWdMNMyP43PIDynTQiBAgyhL2SXpohmy22XMitprAqzexcfSjP+r6AtL7k5+vvRewF8IPbppN/dMeYnayr4U54eoLitgzZ2LCfZ3FqL3isFLFHYzjh30n/JOG3GasU9zPwL56YPBgx4uYCp55pqtV8zFd2KLUgLbs30QNn5wC40frKZNOhXVy+uTj7582yfR7aIpCCW8FRfLghck6QqYrdpwjmJZsBKkvGMmOWiPiJmI71mJCjfpUqn37lrieB8jyF8/W8/jHnF6AMf6xBX6xbFMXzOdB2NLuDB6GYCj9p3A+/4EJHxp63au27qdEabwG5DJxYIno4c7xkuc1ORLft+d+ttqTyKR/GiqcpZu7KouukVS8sO6zZ7eDtN83K8t/uRRW85SkN2uaAGkZ5IVVTh0W/D8ZoUu8Tjn7WqwBdrSeILzTWtfWEqGx6IELK1MCs6MXgN5pZzY2MSdaTJFujnZFRP07PqNnLrO6QLtNy+q16Eq2yEpfbOzZksQ6YgjFlLyrzXrmJzmuNduy6zcCvOvRzyeooi0kBr/3N21gFJifufNZJftuDTu/N1lQ6a5y7rv85pbOCFDvLGq4J3a0ET3LZOz7EX7ydZ6lmvphrgQzDZ/D+q8M8Ijq3K2fegei9su935xdjGRWRldXb+N363baCtwfgpet060tO9LaAVPc3Bhu2j6DP3BR6Ru87PgDc2ihp+FFctW0s2xeXL3ybx7xrt0LfTI3mfV/bP6WjsPhpsZRJd9m48m3swXVhyfxbkNBS3h93MXglMbmvhyYzUA+WGn0iil5eKkbLMm9kAHxiyZrqg/21BH68bjEF7BNzJVoQ24vkuHgmf2XdgPWL+HmWRy98k0/udOZLyUgvx0mVCdViGvI+abSnk9hgIxDuN4n1Yv4PbYaakumo7YN6+HknmWRCEkChja9n22y6RyMrW01H5dnCd45qLpnv1O+Niz1LFhXU8WCa0BGDMhGcP51MbNfKl+m32Mvq7yEXPSuDJaxDwEPEhfv+r3a/2LS6cTMoZ3dy5eRAkRwH+U+Cl4H8qentuL2iq5M3YKH0rDOlwZT/CvT9eyYleDpyXL6m95IsEpjU22QBMgaUkRMuT4blTh0aoR6bd6r/5ap7S0sqhpN/Oy+E4svKxC6e7vDTvi3Ed3vpkhVunwNH0QeKc3b1VcVlUCOMeKHUPoctHMV3ZzLwJctGMnkBQo7zGVtfN37rKvNyQhEciz9w0geOvmBXZc8uIM93VEY3IR6TqPsdDq+h34jX9V8VNfhyR8v24L43K0RqsEpVPgntpqZQL232dSjudzu8udH/pVShv3d2wtlGSbIOT369bb2YP9YzqdSNKXGmhPPKvFxD7l7d43W7JdNMzmHl65bQfXm1bKBEnrt3qKUo+YP3cf/DJwhqW0y3H8pdB7ITomRIo1WeW0XQ0sNReUrMUwv0WRUxoa7azWBzJawdMcXGRS8E5+Cm50CSNBn1XCqkEw8wvG69IecP6f/M87fCkc/QDMvi77vp7/RzjpSWxxs58itBd3ZfDSK5k7vHv6YxRWQr7xMMnzS+Jt3ouoOR04LHgYk/j10ZU0jUu6U9rTdDtcHfJCPvfeFIwGRGNEd032FLITXiUGXEqmquAN624oPsVmKuRwMLsYq/wMCl7aiXPeLYSHLwPgnepFvLjkNzxy8h/g2rX8YfQdQOpKZMaCvYEgz62ayS8unmFuEBSIpPIUVuI0RSLGhL6VdC/uhps1PY4wMq+6iCmKs63gZeqTKSmV9Jtgb+oTizli+67cvtNOrgHQb8Ns+/VDG3Y6Dnfv5npObGgkQojbP+6Vcrp0cW6q0PZ/LvextAKdyzUvIkO8GJ/Mw7HUxZtLt+9krEeJBYCgSP62rlLq9MU9RkoIuHr7TqriznNbwqS6h9X1AHDT1u10icdJEHQoVTEhuHTHTvpEo4w1heuSRILGD1bz+MZNvLQuWRZEgCNZ0Vfrt3FvDpYmr0RH6eJHA4E8Zg9amjH5iDuWSU1z7zfDtJrzVoqCJ52CnTWy3YJsOgvedPM6rRZFUvLz/0VZ0dBot5UCfhI4koDVQykoLwwnE09lIJRIXVSxbe8SNklnhmU/W1WeS6mzsMbI9+s2M/i/Z2bVJzdBkorx4U27+YY5Vtz3q8fOfvbrXIuPj21royaDNdkdT2Zds7p1cZqETvkyeQx1GAzOUMvTa54/0yx947aaD4xGs65jeNSoDM9tk9uURFj5u1PnREiXZdb5RZyllOxROUOxHgek5Ofr61LaLNrdzASzjmhCCPv+qy7FBVnE4J3W0JjSBoyxnUkZiYr0LprXbN9pL4lEM1jwgsDc5uwXtkDXwdNo9gMsBc9nWgwEIaSsnC6+GwYc5n846ziTVhplEdK1G3+qI54uIxV9YdhiRRnNbopZ30sRTkt72Ba8MuGXLMM4fr+qMmYM6sryib1TmjwZn0ekR9KtJNt0xV789bp5/OmLczI39MArMdgl4y9hiCJ4nztrsP368ZVG8pe+XQxrV1WpuTrYbwbpCJhjYIusoHn48WnjC1MeOod+gZB5z6fUdqVX1x7k5RVBQTnCVMTc9099EPoVqh/du5xxfSoAyAsGKBLJa85T4xDNshLPLL+f80ZcyUN1SYVn6sBufDeeqrx4WXezfTgIVy3FWH5ydboykeAmReFpJp8xrW1UtxZQ7opDmdfcwo3bdhAxRdmbtm6nb2vSynG7Kew8HpuXtq9DXEJWWnHbJTjGCHJB9AruiJ3KXVu2csvWbbbQNsQUBu/yUIi2kLzm0xsa+en6Ou7dXE8whwgXL8XaGidCGomGTvl0AgkCKYLLmLYIL6yvs12PBECigLFtEXq63Nu8rGWDIxEmZ1jRTgTy6BeL8UtXHbU1CaewqipnCRHOaOUf7lKar1bGC/i7m1oCrLsQdwBnwgcvC15MiLRxtGFbgVCtfoYqV2BOQq1C8OdPG1hTaNy39YUthqeAx/Ue5xE/N3Nbdcq25aaFuGs8zm/izjhrPwuemjhHVWwLlAWDqI9VPBOCZOziSY1NjnIUKtU7hnLozkJm727OObHG5NY2frsufW0+d3IgdxIigKZID0eb413KRHtiEr1mYr946QBwfRr31FU7dvKYWYsznMXzsyiRsBNJAVTUeSef8lvAci+8DPVRZge5Yue8YukCSM+xpf7y1PtrlyZx9cFvMSgsZUrZCTcx4I2C9AuvFhFbwYM7t2zlfo+Y0VwXIvZHtIKnObgorjL+hzNn6gJg8sr0Vqqug4z/lf382+wpU86FnhNg/Iqsmn88+DxYcq/xpvtomH0dbTLMvxM+fTQn1oK8ME+cM42Kojyvjzusgk+X4jz6dElfQ808c+oWj4fA0C5D+VnxWPv9CVMH2K8ri41rsVw0A+E8uODPcOx3nAcpdglbpiL2VqKW3Yvu94wvtKwZiZlXpnwWNhWuqCt+06v/4HzweQq0I5bZL99ZfTj/vHkB5CXdMvPUun2mgldRUMHSAcfbtYiEEAyuKWXNnakKXkx5FAj7+07/BPzC+OuY3Xs2Y6qT954j7iC06u+++wSQPFG3mZPWDeKMyLWebc6dM4xB3Uo4obGJ/ruMMiK9o1HCwJuJIdweS7VApnuQpU1g41LwoooT45G7m1neuJtnN9Tx5IZNHGZ+3xM94o8+ITl+AsDQaJR5zS0ERe4KniogWwpGAHgmPpP7g6cTJ+BbS67KVPBa08xZ7uyKu/vN45kNm/hehsQZMmgsTg10ud02yFKv5kb/g2F/DwjgiY2bUuoSumN5/K7kyu07WCW62vFAFgEkXRTrqDU2VGWg2XV/3MKe9XtUF2Ks34jlnmbF+VhWjEjQPKdHaZqR+aku+PkesaZn7mrknU/XUiplapxuSmsDh1umsl2Na4zsQfkPSzFO5yIdkyFeq7uK+7ZsddzLqTtLUtq6FfJsCEvJfUqdOWshY2hbciz+OTTFsc/NroWCcpfFfHYGF1qJ99hzW1tV0s1D5+9sYKJpBQtluAcTWlv5lWshxcsbAPzHhVvRTudSqi7uhEj1lhDS6ZbrdSzVkm6VunH3zW8uzpN+y5pJXiwppjFNDL2KnWQFyeLdzczyWLzKVZ7xC2/Yl9EKnubgYum3jL+eEzK3zYaxJ8OZL8DoLGLh2ktZTzjv91Bak/0+E1bACT8w/g84lKFt32cXqQ9bABLmQ9JnpV2SquF1TKLz9KyXqS6GQ7r7CJPLv5d87XEdQVPoEgjoPsq4pxbHPwbjTwdgYr9KivKCtoIXIu6rlFkKkBx4KJQ5rZ6WghdLOIXhxlbjvSW8HTfYyBTaRSnm7vkQXPZt+2VZQZiS/BCc87K9LS+orGwq5wyIZNHnynz/zG3C4/X/RZf5tgc4d9p07pt3n1O57DXRGKdFVY62v0/0pOnjq+1rSyDYSjnTC25j4icLHG1rayqTSYZM6VkiWJOoYXnkFlpIXuulkVVmnxWlyPXkTis6KAren+Mj+UimWq8F8LfmpNVQnmHECFXF4naslt8vIpOSrH7qFSVqu+whCZKgMC+IQPoKyUUJp/LhhfuhX7cgNeOqm2aZj1S8D55TLC4JGfQV/mUgbNTa9KF3NMYbMafnwxciFwHwXZ9ENxblCcn5kXCK2BWUhkulhZVxUbVjNrgERfc9CdrjNImVadYSZH2VaA8XzfChzkWgR+o2c+LUgSntrOQjAEElA+28SNJl3X2vVWFbVfauVuL6Ii4Hz3s21zsUpnRY9yCdeJsgZMcMqu2mRVPP8RePhDlufryhzuFaHARmt7TYSXv6RGNMDn+JS7cmFZHBNekTY3ml8bcWs/wSw3hZx6yx4uXFkq1AncmyP62lNcWFO+7zDQSRnnG0bmuZqqBd41J+v1q/1dXW5fbs2uYVg1egLDpZynQASe/CpGXVLy4wLKVvxun2EMkQg2f0LTf+VnPCHvRo76AVPM3BRWEFTDwjc+zYsd+FGZdnPp4Q0H9Gu2LROpVAEEYcnV2/LOXCR8G7bdlo+nYpojQ/+fmkGdfA0fd3RE89OWZ8L34SPwxO/4Vje203HyU1X9meTeIX9b6MPMbIAgr87MLpvH/rERA0jhEm5ukWCslV/4RMwOXvOD5bOGAhR9cezaUTLnVs39liWPSsR/eyQct4d8a9zoQPXkpByMPFqttQ+6Uag4dMirJCwNi2CNdu287q6au9LwSIhZOKs+WeWk9q9tSMWPfeNe6qRJgXLlrG6VONZCPSfPR0CQ+kNOqypofyk0qOUtPQiK0UXH2Ect1mjj+HW6NyqMu27/RM0GGjKHinRm9wWPBU1NVz2dXIbiiQdkZIIeIUfXIGN7jSpbsFOT+FT71bqhCUMK1fQSBInPxQkADSVloADmlI9rnWdK862XRP+1G/1bwSH2982MXod9Lh2zhrJJDe7enu6HIWRr5CqCUpBPaPxeyMqaWijX+uWefYZ/KaY/jVuo0EZCyZYMqDAilZL52LAcsn9nf00+IL23ck0/Of8ZzxP5Ya26cqSZC0aqo1tJqEW8Fzfi/Wd6Ba0awxYCl47qLOyYN5KHj5zt9S71iM4sL0911dmLh00GwA7tiylWc2OGOkKpWxYCl/U1taHXNKxJV1d35zC7NbsqvhZiXxSZe0Iy5DtpVQHeMFfnHfGRgeiaa4Fqt9eaziCi6ecRhSUVzDGYqJWlYlSyGuVjIpdol7zxHucaH+vr32yNbtL7jlg7SfV3r0x1fBk/CNLVv5p+IabWyXfE1xJ7djEFt6pMTCJb02DFIVPOlYWPBS8FSLoXWvQxJ+cvTPOcp0Pfaz4IVlxxYfj5JZwcu+uIxBJOgje+zDaAVPo/FizPGw4Na93YsOY+qALvT1c4vMYMFbMKKGP35xjr2iPLX7VBZNuBDGn9YZXQXg7hPG8r87FkNtO2L1PFzCLCucyMIxQwhhW/DyhH/wv72SKxMpQl1BqIDbZt5GVaFTeN1lKni2ZUaI5DvTBe4t6UyPng0BNbZTseBF44aIempDE+VKbNy2o37g2P+mo0ZDzWjjjSmMfiKN2KpYBgXAgS04u+5zIMjwHmX0LjCEyiZpHDOeSKSuZgfzsYwXUlkm71Kcz5PnTuXiOYPsbWHz+3k+Ps3eZgm2hzW3cI5HkXoHHgLAY2dN5oLDnN+BVB6VXQq70LugGzdu25EUekSCRFsPTjIFmSdjRrxM8tqM6yjxWy0gKbyqFhl7b2kcKy8UQCBt97tje6zmlC3J33V5IsG7n65ldKOhsP+n6+GsjF7NN8c+Bxf8SelJ0rUwlsFd7In4PD6TqUkhrF5WyaaUX1VLrAt9YzGjLEcaBS9PSjZLp2W5psSp8FtC81m7GplpuVqFTWtNNNX1yu2aZllC1F9yk0s5cwvm1jFiirulpeCNNN3sFuxu5kfnTSMFDxfNUVWjUs839uTUfRXUmMFA2JiPlu5uZoDLRVZ1jbNmPlUYX9J2W4oFLxeSFjz/sTu9tgZrZKmKYL5wKnivuxYCcsW68rZgGXnBIKdFrrc/y6TgLW7azci2Ns7fuYsv1W/jqu07fa2i4O2ieVJjEz3NhDA1HgpotvVMg289nvZzr0WpRMLfghckNQlPCBivZDS14xhlqtj/cs+LHO/dLpgBie3qD6qCl7xD6vduldoJIinJL7avR20zs7nFTiwVRuZcm84r4ZPFBTt3EZSSQWmS3uQagyf2tUX8LNAKnkZzEPCj8w/hj36JTWwFLzsf88oCf1e/jkII4XBRypaB5QM9r8NyM816kjYVvP4VYbqXeys4tqCcQ/D+0BpD8O5jCgmliuWMftOZ1XaPYbnMknxhKOXBoHfynsI8n7IIg490bRG21e3E3oY74pGzl/C/E18lOGNV6gFmXObdIeveu++zJfS27ATgXWm4p7VGE7aSZhPKs3eXSpq2kiNvYHqtU2G2MsNGZVK8qY7HeWjTFkrqj/Puo4orBu9H501j9tBqrl04zLF96dhkBrtwIMyvZ93L3OYWxQ1KOuKckrFzxvFltAsXlYzjPle5AGuFWS26XRNP3g/LghcAQiTINxW8Bc0tvFxxKINKJ5LiPHfqT5kT+QYAIfM3tCtUZbtKbjEzyVrF1Ivz01u8G/FeGLKEu66kKtE7zRIewUQkrYIXAmIuq2nAim0z33v+Yq0Y6lhqSv5ljYYb32mmcm8pQLFuye90dJ5zHKUIx+bJpSLUWtl5+8TivPXpWhbubmbqQI/yNh7zT7+yfryzImnl39jtUOg2xOPCTMafTr0sJ9owirYtRxB0JecKKBk4D2/7avI6zGtV7+h7ciBtPpbpY7aUpWSddWPFLqYTiNX4JEfyGmUfISWle1BaAJLZEQVBRvUq46yjku7deR4mxqu37bDHwbi2CE9v3MzISJRjmnY7koLkEqF4bONuvrm5nmUeWTvVGo9f8CmDAv7WUKteX6VHnTbfGDyfY4WkZJNMfVZ7uayvD1teCQb5KRY8p4tnvse8pY76YleSlU/7HWcfx+KK7TttK2pYypwteMsbmxxuvCqzWlp5a806StJa8HJjP9TvtIKn0Rz0ZLDgfa5c8k+4Mr37ih+vnvAqTy1+yvM6bAUv22ndFKxriv2V3kDfQwDTgpclK2cO4OUrZnHL1u3cv2kLAysGKpJsgLUyuRKeDT8fdDrf2FxPIOidJa9HuXcyoZRSFT3H29a3c/sv5u0Vb3P5vNHUDh+PMO/F98MnKgce69j9xq3bjZTe9r1PteABMO8W6qbdzB8ThrWwORJPteCFCmxFXFgKXmU/8samxrlaLppuC8X0llZeFvPt928XTGZr2YiU/d0KnqfADvTq4nLPKTdi9aa0tnKiLKG17jiHe+fvE+OM8yaSlsALq8fR3SW4LW9s4pyduzhXSWFuZyqcfR0JM1Y0gCRgWvAspbF7qIhgIJCSjAMRsC2OITPWTC0vUm8qeP1MS5Cv27NJJutPlUgVdBtMpTCYiEAodQwuUoTjR+IL+VZsmV0jK2D2vbnQO5V8fNwKyDOVTsVF80v12/jKlq12mY5rtu90ZvSsMrLrXrhjF7cNNxJWjWltY/buZhY27eak2uNty4PbjRVgl1J3Mu1SmM88qi4uBTLNtbOuAqB1w2lEts2xLXgWcz6Zw72b63mobotdYxEUa5tLsPX8Di99i007FtjJg/ywaovVpCkO3aYsAsSU4ajOMu2Rj+/ZXM9Jijvhp02GxTQYr0IIwemH9Lc/C3lY8FY0NHLN9p0Zz+MXQ+olIAeAuc0tnp8VScnZO3cBSTdB7+N6n2+3uSBT4eGimfDRMPyE+CCwQ0mAlHSGSD3O8x+ahcvNhbhTXXXiBE53R8vCF1UOFfSw8FljobyiIqVNEGmP17sip/CdxOE+VwLdPcpo5Etpu/EmormHE2Q7Hs/fsSun9vsSWsHTaA52MsTgfa50rYVSp2AXPy9NfUF118KuFIWLOuY6akbB0EVw1H2+TQJmIfpEDilnAgEjk2WRlMnMXpaS0Y4lwj4VtRze3EKwS2rCBptjvwsn/NCxKU9NMnHjFiPxjKmECSmdxePN12dMSwqSbsvJiY1NRkpv4bLgWeUbrO0l3SicdYmtgLRGjXTwHyeUpDd5JbYAZLlo+llJ8y0FT7osmCf/yPH2t7XX8ZsJD/KH+Bjeq1DSjcsEFDrrjbl5hjkwwxlLSVEXri+7nRBwY6yY/zthLo+uTNapfCUxkWGtj/KO6m5rjUvFtTkPuGzHLoqkpK3uWBb0XZgUJEYsQ1rZX00XzfxQICkcigChgEhd2Ve+O8uCpyp4K3c1cFxjE0elqRuWDZbufUfkND5LOLPQFpUZ9zRW2A0q+6fse0f9Nt5cYyhfkwd157HYkfSNWt+lMbZsJd+1b+Dob4FVmkNx0TymaTdLfDIjvhCfwhen3sDRjU2s3LWLAjNr7hN1m7lvy1bCwDUTLuX59Rv55fqNtoIklSwb9TJLIdLDRdNNKKO3hHB4DwfynUp4OBFm+O5CprsyulqFoN0KSyv5sOQe5ynyignhr7RZnLWrkX9+utaOq/KiRSQTnNTE4sQah/Ol+m2OxCZ+Cko65je3ULApmeCo646RNH10HSKWmnAskG0Fc4UW8/fhrqUIhnKfrscxD1fHn8RmUVdlZCneocyxJZuc3jPqnrWRiG1Nt+5Rpce9vuOYkZ798FNOg1KyVVbY75POBqn9PmbqcOOFCPDfRB96x+I8olh2DQ+CJAW2gifs8ztcc81FqohtjY+ntAmQHK8vxg/hf42zUvolYsbi0LWqO7zrHPn/W8nuT308StLgp/zk+bjR54d1Fk2NRrO/kaMFL+1jb+Vv4awXO6BTSQI9RnNM262cE0ktR+C9g8dqtdecfdozcPEb3scIho2i9+7ahoOSViFLCbKVj5LunuUUMpPGGc2VnTOF4UfBSU8hDrnYv82Y42HEUY5NeaEAN0bPMmLXLPevcacY/93XYCkMqrWr10Tvc7kFV8uyqGyvKMrjvVuPoF/XIq5YMITtlDE/8nWlc8XEx5wEwH8S/f2vC8gzY3xSLBRDj3RYTFbNG0JbuIwzotfSGFasdANmwRXv87tj/sWDpzkz60YqDYvPsat/4elmeMel50LtPFh8N4vH9GDqIOfCRCsupdMS/PO8LWaRnVO4e87XkhsCQds6HADaCJNnJlkxjhcgLiW/T4x3nUdR8IIuBS+/nOp4nNVbtxtCWrqFAZLuf2/ckFp70Bq1z8QP47DIvY7Prlw0ln9M+jqFZ//SSFhk9emQVdB3OkGSsZJLxvSkmXxu3LadftEoPfKMrHsTRYj+kSiX2ZlKzcsTIqngxdJbnywuil5Ot5IabjvlFfKHLIZBC1LahIIhyhOSgdEYJ7Xd4rpKqKfC0X6rqfCdV+SKmfVLvqIQFBnauMs4FDnPff2i4bRe+A8ar9rAY2dN5seLf8nLazfYMWpBYFXkEhJLvpncadLZ/KmbEvdXUk3v8sxzvsC/yLpFJJhUfkNAy/ozOKZpN7Oak5kv24tq7UoQRMbKaY16KKZmSZJ4W2p9QT+szI8jXLUYwYzBS6MzRkOprssLz1nNzCGGp8C2YHLOC+0c52jnTAolUtTsCsVaurBpN72CRYzpl5pVGkwh3pxbjmlM1ltsCQTYJJNznTV7e7loLpyYTFwV87BPB11lDCwLXkQIimzLe6oFL5lpNjmP2f2WSnkeGSQRqebR/yXH42/WbmCSGRceILVeZqH1PIpUc9Y0b+UX4MqKez23Wz0LSMmlipX3eVd5CovxfSt8z7GvohU8jeZgJ8sYPCtRwJED3PFbCn0mQ79DOqpngCHQ1U6YwxlnXZjdDl7XYc7mYVX5GzTPkYkyI6t3wWk/S55GWO5v5oPmyv+mLYjui52ow0PBW/V3uHZt6nYLIWDYIoKqi+a5v8t4ymBA8Hh8AauiimVq0kq4eXtqOQ5bwYvDea/C1Z/43zfr3kdN1zlLMXJ9JyX5If5w9Rwm9vOI58wrQQw5gv6tT7JBEVC8sF00ZaoIOrJnUujMD+fZt/m/FbONFxe+DhV9IK+IuWMHcuQoZ6HkvHN/Axe85n/yUD6c/kxyEcDHQhFyx5JmYeExOl3GVw/9KnN6z+G1vOO5PrqSvGAAYYlqIsD23RGejM/lqWGKIK8oD13NOpBdrNqWl70FK5PlNbj0X2m7ILsN58bFw6kuLbCT79ifmf8vmTMk5RqL8kJMXHIuosK0+obMONYZl8HR/+doe9LkPvzqCwsY1xbhmDXjKDBLfpQgeG5DHWM8hG9bwStJteRcF13pf0FdBsLJTyZdPFWU+/axWi7D/G39x1VHdFbbvQBcUmL8FnqGTHe4LL7fzFW/nAQLnb+TyqI8BnbvQmlJCbOHVjO8aiDd43E7UU9IwuuJkQQmnQlAWYEhOB96vGnpKDNiSi9cnloT04sXD/tl2s+vWDSJM6f3T9keBr5avy39wY9+AK5Z4/txUCSVnZg07m1bLNXC1a2oG00f3kjzpx4xwz7ct6WehzZtsWPGwHD1tUiXaTEuFOXYvJ8lBfmMKDUWyEa2Rbh+63buLplGXDrHhPrtS5KWrJu2bmdCa6ujLP3X6rfxYo8l5JtjfYj5exhgxvsFwFn2x+S1wgLqZXJhykraIz3E/oLCYrtfloL3t0QyZtU9WvMVBc+6d9Lr85HLAEhIy4KXbPV8Yia7MCx00rQqFiipkHrE4xTmG/O6EAHuVTKCquf4+02Hc/gIb3dugAbhXVrJSvAyu7mFc3c10Mv0IIgp8/jLa5VSHfthEJ5W8DSagx0r62SaelUAfcv68u4Z7zK379y07XLmms+MvzR8/fixHDrYewUzBY+JeHiX4Zw+4nS+dtjXPHZoH1ZduXwrwUm7HwBpLHh5RWmTVFg4XCr9rGuZEMJbOba2JeJGrF5xGqXLEm6jpqtcYYVzuwffPGkcT6vZCPOKCZtWkFmDjdV46SFofZqo4bHYEbyRGMrTccPCpK7y/t8pimVLBGwr1rqyCYayXuO/6gtAURfoPjp9myz4x00LePPG+U4L6NBFmXcsrGR0t9F8a963eKLgVLZR7nLRFGxtagMETT1nQd/p9nZrKB41thdfPW40q+YOTl5TVZrkHhOM2DTyy2HIkbz8hcM451DTyudSdq1v5MLZg/j4Duf1WJbD5AbLmikMN+xbdtofCSGorS7lt8v/zZdjpzGoOk3h9MnnGi8CAaN+5dm/Tmlz+1WX26//UHu1Q1B14la8lfeqG5up4A0fNpyPTvyDvbnZqscogvx0fR1P9z3G7Ftmq1g4mKGNyx0t6LLg+WEJ0MUywSPnzADg4dMn8uvLZ9l9Nf4b11dZO8lYsMlAW+VgItL/N1xTXsrqo5K/p+5lycRUbydqOaXLWO5wCegAHPcIjD8VCit5efnLvKII1PY1KS7w9y03vss2jwyW5426EBkvAekdj+xFz1ic6a4YxBnmeynSC8hxoSwqKZ4Kg4p78OK6DZze0MjJjU3MyK8iir+CB7DSjME9prGJ79dt4fsxl4U5mEdlQSVPHXIHj9dt5hfrN3KRGesXlNKep9TjBoFdSgyena9KCqL9nIm88kxrYyiQ5+jrKDNjrHrc0njCzsh5UkMjtXZiGcElGwp5fOMmW/lqM0uzWPO3eheaRAkyZnkzBHnkjElsdi3oSXOcinAR1fE4L9SusD+z3ERFIEj/quSCzRbFLRWgrMg7SZr13Vp9Gm9ea1hKrt+6na9vrqd7PL5fxt5Z7ANBNxqNZq8y8SzYXZ9d3b/OwFICOpIFX4KBs+23ARHgi5O/2KGnuHLSlQysGMis3qmxAzlhKWTTLuDpQ8by+sdboWg19Jm6x33MxPETM7iAgmLBS+OvJAKGAmMpg3FT0dryb+d/D44e18u5IVxIQAjeuH4e4XCUWT+GJQOXONtcs4aFt/6eVvI5IWK40z27cRP9osksdqUFYQzRRBqJR9IYSjuacFAQjRsnLC80BcFic4GiabPhGvrBC3b70yPX0tOdrVWpfRg1ky64FbxxfSoAmDygC3yUtOwFhSAmJYEAnDjZ5XJrWdO83ASXfBMWfd0QWN3fd75T8Xpgcz0/nnoahR5JVEJuN8U+U+HDF1OzrIaS1zx/VC/W3NkL6v2TLAUWK668I4/xbqOc++2eJ3L3++M92xEMJ8cpuO5HwNkOuGz+UIdL6+IxPexrGRqNQsAS8jOLVT3L0y+mIROcMKk3P37TKAoeynffY+9BfOTuZtbs2MVZuxooGWBYdQ4fqVg37AUcZX+PBZsX1m2kUbHK5oeCjGh7lI8LVqS0BWWBafHd0NZI8LXkvjXVNVzX+0j4x3Me15kcY92Lu4PimvhSfBIzVz1M8L6b7W0F8UaglLZoqgWvvFC5R9euhZ+dCx+95NnfdKiuhukVvBCHt32VKtHAk6GfJa8nEaeXooCGAqluj+o5xrS1cc6uBkdJly3u7JfmGBxVXgtSUhuN2cmVZrS0wvSlUPc2kEw6JCS0xCvs91H7agSRE54iLNqY/+Wf0EfUc19BIRePu5jhZdOJf3ievc+Dm+r5JByye//4xk30iBlKz1u9lhP49G4aA4LXCgvZtOT3tPzuWcY23MVb+caCTlvC+H3N6zufFz97njFtydjtF+VMmteWcea8Nm48/Rj+8dkObo6dCDxgt7GTo5kW+z6hUrrE42wPBpNxkyJITWkB89ruoisNvCmH8klBMs755qUj4EFSsJLOWMljVm/dxkkNjXSPxzlZcXXdn9EKnkZzsBMugHk3Z263P+GXxr8DKQoXcerwU9u384BZ0Gym0S6pNixKwDRg2sCuQA6uo+1kzZ3ZuWcx+gT45w9h6nn+bUTQVPB8Hin1/82+Y6bwX11WABTwxqlvJK2kFoWVdozbadP6MndYNWP6/88QcqItzmNJCYGAkkm1nVz2DrT4pz5X+ej2RfS/9lfOjZZyEGtNuU/XrbqYmjLvUhcAEdMlzaqDB4AIcNTYnswYVEVVST4o2wNmfcWAlzYbyochC2GyhytjIAABH4t0URc4+yXD8hkuZlKslUlero4eu3LcI7DpHeMYFit/m5JQye4fGJlKt33keXwvEsECAvFW1G84bVb+gIeCt/SbtFUO5tL/deFRKxTHss6IoEMhvf+UCcn9IGmhzaLcTMCtAHcbBrOvhZdvgZ2fAZKvHDvGVvDCwQAsuRfW/gXe+ZFvrG8YuMS07OBlJbS+mAw/AquMC0vuhTEnkP/p7pRyFs7Dmge0xtRrSTfxHuUFKdlqs2E3BRTX1DK5bxmY30XBqMXwzB85eUrq9ReElPteUO5YILEpqTF+x7enuvbaZJmrpaiggA8b+vChBIKm8hpvS7nWIAnnveszja7r/sript1MaG3j6CanMhELl3Lm9OHwunoQ81oq+xlZaY+4na5/+Da9PjqR464+Hcq7GzHUr98CHz1j79ZCAQ/VbSGI5LulK4HnSRAkv6AQgsV8LHvzsexNfijABWMv4LNtu3lTGiVERnYvpmRLgvGWV8TEsxj7j0eTXQqG4coPKfvGEBbtboYBXZi8eBI8BcuamvhLYQFnjzobgDl9ZxP9z60MLDiLr2zdwfNjl/DnT/siY3DO+LkEA4KuJXn8V/alFJhnJkuyFo9CY0+B334FSqrt7KRWkhUCQQIBwfgJU9nZHGFGLME/PhvMxIAxd5Tne6vpu83fbYkZQ5gvYazbHfyCP8PTWXhb7KNoBU+j0Wg+b87wWM3eVymtgVU+yWgsAkFIRP1dMT2sPCmc9SJs+EfKZi8LkcptyxQ3ygGHOj+0LIuKBS/QjvqKgCFcVfZL30YEwYw7OX/WQA4bqrgV95kC82+FMSfCh07XwhFKvCDzboHtTrc5yxrYs6KQVkWRE0KYyh1KNtZAMompl4InBJzydPrr8KOv6krrVO7unH4bf33pcgAm9HVZIPJLoN9057Y+k73PUdnfUAhr58LXBph9DsBgnzTqPcZC3dsEzv41/O1BKO0Bq96E/FISf01T6N5Usn8Zn87RwdeN727imeQDVwyQPPoDs53tgh1IurOrWAqelY3Yej/xTNjuHQ8brHCNo4v/Zvz/7Wrjv5SOOqDhYAAmnQUTzoCpF0AvZ0IglYdjizkv9CvvD2Vy7GRFuAjyiuleluoSOaRyCB/u+NB317uiJ3B1+MfGOduh4A3rbliMJw7uYyh4S+6loKiU/92xCK+fcOrv2nw//RJ43cyGHAgbC5ppUI+SrvZfKE85jhUTGo8ascoKhoKn3O+VLxF4bAl3rvHIDi0ChG5YT7c/3uXcroZR3LgJgC6TV+JOZ6YmQIsKaJF5dqbV+8xSL4KAXT7Fvhbz3hXlhXgv0Z/jgn+ipKYWtqTOx8mTBY1nQ2V/2LHGWCwxvXHKE5IHN9dDUTfz+AE77nRJcxtL5j/I2D//BojasW213Ur4zopJPPX37/CNLUcAcOO0GxlYPpBp4y6CmddC3Tt26QXVggdGGAfA5oZWYg+Fwcrt4x57gw+Hj35Dk7nIUuyVNXPS2TDlPKgebm/yChPY19ExeBqNRnOAMLA8fVbETsOySFnWi/m30pqvZLPLIFQBRnKe6dknSMgOy2IRsAvW96nMQtlsL7dsh+XfA+C6RcOdhdmFgJmXQ1mP5P3qUguzXK7Dh34hJRFJxHTRPHZCL+bONBUlpXA34FDw+nbxtqz5cuFfYFUaYS4LFtcu4ctbtwM4lJN2MXq509p3yw445UfebVe+DNfXGUrPsQ8bVsiqwVDanSNM98RHz/RQJk0L11eiJ9O/9UlH9ks1A6stXAeC3v69bhfmaWYyqDk3+F6e6G+4dZeGXfGGltupK6mKfT8DgbTKHUD/k+8mdpOPpdlPwVv+aGpbsK93eI8yfqTGyQI/XPhDrz1s3pMDlPP6KXj+QvOIHuaix8wvGC73408HjHshsvGzttqUKS7g1vy0/FE401SCS7wTdEiSSVYemv8Qvz7WuSgjVCv8sQ8bSap6TUwq+haJeKr1s9qjJickv59+RvykHS/rtbCQgZFtEVqUTL7XzzXilB846qKUttb97Faaz6lzTJdmmYDDb1c7B0feCf1mGm+te9nTsmQHfUvOBAMi6aY68Uxjd2VIWywYUcOArmUc3nYXz497kC4FXVg1flXSBbjHGKbXGL/lPJm04KnUlBXQq8y0eA4/CioHOD5nkeHm3Wx2oNg9NkOFcMRXHMrd/oq24Gk0Gk2uDFuSuc3nzC+P/iVVRVWZG3YG7vp3My/nr7FxzH71aON9POq93x7Qo7yAul0Z0uRbgoEIctTYnpQVhjks22Q9nYl1v/pMhbn+ioCFFYNXGA4yaeGZMGaMkfBGpf+hhgW0pJonzqnmjTXbKczLMmNnjY/AmQvZWoU6mpC/a+uInmU8dmQxs4d5pM43M+pmzGhpucf5KSmjjoXX7oZhpsvz0IW2y7UfgT5TAHhx+Yu0qC7Fc2+G6Zfayu2cod34/Qf16fvnwhFzl4JPQqdRx8JPz/Jon2w3dWBXx/aicA6LCG5f2WFL4L/PZ7dvuCCty/3z6zbaST0A5g83v2uv2GHruxx1rPH/pm1Gu8aNXLXmBT7801eoSCSYHA9y7pbNvFZUyA/KyxhbPZbicDGc/0d4yIy5Vl1AK/vBkruN1z3HkQgV0dJ/HsUfPwfSZcEDGHI4vPGQ8fqiv8EDrnjrftPhxnrDrfm784xyLDly3+Z6PjtpKvzceD+ipj/vnpE5y/OgvmZcduvOVHfjaRdCw0b47LXkZ0ffbyRnquwHrf7j/sUr5tBUvI6SIsOSaHkXuMsuzRtezSOv9aL/5Jmex7nz8Aep/3ptsnSHl9fIwq/BC1caircQSU+O0cfb84Xloumw4I1aDgu/mt2C5H6AVvA0Go0mF26s3zeKwrsYWLGXrHcAxVXQtitVkLOEF1dh9I7guUtmsilbBQ9jlXrO0OxrZHUq1vhJxNK3M7Fi8Oxiu15WnLk3GavjFX2pxqgv97myv6URN4V9v2LfV0y8gqndp8JPLzA2xCOe7eg+OqNC58aySJTllVGWp7jnBgIOy+WDp0+koSW7McJR/2fE86Yj10xDfu1W70y7W211CajesapyPPcmI5bxv8+D21VVZVh2McL9Ysn743TfNF+UVMPs62HjP+Hw25w7W3GK5b05Y+x50HsetO7ie89eCq1tTGlt47wljxnKHRjuwMu/Bz89GxH0iPEDKKwkcGMdxW8+CqaC9+Hti+HLSpt8JTOyem/CindBKA96T8p5bAGsCFZRWi4Y1U+JNfTrr5uCCuN/y07v55ztKWDV9SyC2jnGa1cpFZXBNU5rtTW03K6P02ur0saHF4QK6BNR5n2vupN9pzqz/p73B/jg1zD7Gmg2vAzGtLXxJKWMVhK/cPhtxrNM7efgBbA1Q4jCPsq+J6VoNBrNvoxX8P7BzopfwAcvOt3qIClwJjregldVkp+MP/Nj5DJ4+6l9TyG3hIiyHunbmZwwqQ+Pvb6GglAaK1kwBF0G+H+ucXLqT+DNR9j4R++yH1aCCNtC2A4r9KG9Dk1NEATZuRhiZK/sVpqlFXbC6ZnblJvuinOuz+6Y7eS+k8ez5q9rwaoqoS78HLLKuKcDZ0P3Ud4HuGmbd5KYDDhcg8eeBO8/YyyGjF6e3QG6mkXrzcMEgXK3C6c1l6SxHBvHSNYPDbti3hwZaeOKgjFwTnb99DulOa76Tb4Qhp4Au5UahB7K1ytXHsaGHS3OjT3GGt4AC26FjW8lt1vfoeWC6jWnquP6yK9m1dd2hbZluTBm02NMsl6p6e66eHczU499iapvDAcE3LTVe8z1mghb39gvY/D2saeeRqPRaPY7Kvp6Z9nMxY2rMzjqPiOxyb6mlNfONeq4ZVMPD7h5yQiuXTgsJTmCZg+oHgaL7uKJIVspKUgjClX0hfV/b9ciwQPzH8jc6PMkrzg3i1AGRXRe33m8svaVlO3lhWHGjhptKHj9ZyatPlPOT7q/+Sl30C7lLoUhR7TL+gUklbORx3rEuprZePNLSEt/08Vw1HHJbdYYKihLvo8rysqxD7WvvyaXjr+UWCLG0tqlxgY1ltPjntZ2K6G2m+s6wgVwpuk+u+m91JNYypVfttgLXzcUWJ9MrxZnTu/PXS99YJazyZHaefC/1HGXFcqCS1WxaeEcMKtjxtw+xoF3RRqNRqPZN8i0yt3ZBMNGprd9DSF867h5EQgICrJIv7/XGX86DJrfcce78HWn21onMH1QhrjVpd80rilDcpMDgsJKVymQ9ArePbPv8bdGdhsKl75luGFGmuCzP8Osq9Of/6K/5T5nXPTXTlhIsjJwrkpVciNGekaRZyhGvgmNutY6FMz3Rl7HqLnHG28sa9qIZYaF6NArjayNrlqTuVJZUMmXZyi+oF7ui7ngNedIV7ZYNzUjvbe7uHjOIC6eM6h9/TrxcXj0SLP2X46oCWsCQSPBVBpltEex4WXRvShdbOu+iVbwNBqNRtM5CAF5JYYAoznwcWX/3GOyFBY7lfxSo8aYxRXv2wlaDijO/5NRlzDaDL+6Cj5+OVW5Ke/jyC6Y0dXUchkuKIMT02fdBAyraq50RrZD273S4zNTwSOvmCfPncqg6gyWPJOt3aYlXUDzS+DivxuJSQKBfbcOrZfV2lKm87K77k4hrwjO+Z1RUzRX3GM2Q4KpZYOW0bWwK4f2OjRtu30RreBpNBqNpvO4fsPe7oFG03GU9273rqcNP43H//N4B3amA7FilEDJIugShq/wcNk7EBl9vJGUpbxX6mfRpILnKIOSK92GtH/fXFjxbPsTIKkKnpn5lTnXQ1FXGHPCnvdtTwiGINj5SqYQglm9Z3X6eTqDTnXoF0IcKYT4QAjxsRDiWo/PhRDiW+bn7wghDgIfCI1Go9FoNAcb10y5JqtU9XudXLNtHmhMuxBu2GRYNN30NhWdjnRF7kwGHmbEmLWHIUcYde9W/BLGnWpsyys2anXuDy7jfgyab8RnH+B0mgVPCBEE7gcWAOuBvwshnpVS/ltpthAYbP5NBb5t/tdoNBqNRqPR7DUOUgVPCP/Yz/4zDOWvk2ND9wnyS+GsX+3tXnQ8p/1sb/fgc6EzLXhTgI+llJ9IKSPA08DRrjZHAz+QBn8FKoQQ2eWN1mg0Go1Go9F0LLVzjf9Vg/duP/ZVDgblTrPf05kxeL2Adcr79aRa57za9ALqOrFfGo1Go9FoNBovJp0NI45OKfqs0Wj2HzpTwfOy7btzEmXTBiHEeYBVZKlJCPHBHvatM6gCtu7tTmg06LGo2TfQ41CzL6DHoWZfQI9DTWfQz++DzlTw1gN9lPe9gY3taIOU8mHg4Y7uYEcihHhTSjlpb/dDo9FjUbMvoMehZl9Aj0PNvoAeh5rPm86Mwfs7MFgIMUAIkQecBDzravMssMLMpjkN2CWl1O6ZGo1Go9FoNBqNRtMOOs2CJ6WMCSFWAS8BQeB7Usr3hRAXmJ8/CLwALAI+BpqBszqrPxqNRqPRaDQajUZzoNOphc6llC9gKHHqtgeV1xK4uDP78DmyT7uQag4q9FjU7AvocajZF9DjULMvoMeh5nNFSJmS00Sj0Wg0Go1Go9FoNPshnRmDp9FoNBqNRqPRaDSazxGt4HUAQogjhRAfCCE+FkJcu7f7ozmwEUKsEUK8K4R4SwjxprmtixDiZSHER+b/SqX9debY/EAIccTe67lmf0YI8T0hxBYhxHvKtpzHnRBiojl+PxZCfEsI4VUuR6PxxWcsrhZCbDDnxbeEEIuUz/RY1HQoQog+QojfCyH+I4R4Xwhxmbldz4mafQKt4O0hQoggcD+wEBgBnCyEGLF3e6U5CJgjpRynpF2+FnhFSjkYeMV8jzkWTwJGAkcCD5hjVqPJlccwxpBKe8bdtzHqmg42/9zH1Ggy8Rje4+Yec14cZ+YA0GNR01nEgCullMOBacDF5ljTc6Jmn0AreHvOFOBjKeUnUsoI8DRw9F7uk+bg42jg++br7wPLlO1PSynbpJSfYmSsnfL5d0+zvyOl/COw3bU5p3EnhOgBlEkp/2Im2fqBso9GkxU+Y9EPPRY1HY6Usk5K+U/zdSPwH6AXek7U7CNoBW/P6QWsU96vN7dpNJ2FBH4jhPiHEOI8c1uNVUPS/F9tbtfjU9OZ5Druepmv3ds1mo5glRDiHdOF03KN02NR06kIIfoD44G/oedEzT6CVvD2HC9faZ2aVNOZzJBSTsBwC75YCDErTVs9PjV7A79xp8ejprP4NlALjAPqgG+Y2/VY1HQaQogS4GfA5VLKhnRNPbbpcajpNLSCt+esB/oo73sDG/dSXzQHAVLKjeb/LcDPMVwuN5uuHpj/t5jN9fjUdCa5jrv15mv3do1mj5BSbpZSxqWUCeA7JF3R9VjUdApCiDCGcveElPIZc7OeEzX7BFrB23P+DgwWQgwQQuRhBNE+u5f7pDlAEUIUCyFKrdfA4cB7GGPuDLPZGcAvzdfPAicJIfKFEAMwArjf+Hx7rTmAyWncmS5LjUKIaWamuBXKPhpNu7GEapNjMOZF0GNR0wmYY+YR4D9SyruVj/ScqNknCO3tDuzvSCljQohVwEtAEPielPL9vdwtzYFLDfBzM4tyCHhSSvmiEOLvwI+FECuBtcDxAFLK94UQPwb+jZH162IpZXzvdF2zPyOEeAqYDVQJIdYDtwB3kvu4uxAjC2Ih8GvzT6PJGp+xOFsIMQ7DvW0NcD7osajpNGYApwPvCiHeMrddj54TNfsIwkjao9FoNBqNRqPRaDSa/R3toqnRaDQajUaj0Wg0BwhawdNoNBqNRqPRaDSaAwSt4Gk0Go1Go9FoNBrNAYJW8DQajUaj0Wg0Go3mAEEreBqNRqPRaDQajUZzgKAVPI1Go9HsNwgh+gsh3nNtWy2EuCrH46wRQlRlaHN9O/q3RAjxLyHE20KIfwshzje3LxNCjMj1eBqNRqPR5IpW8DQajUaj8SYnBU8IEQYeBpZKKccC44FXzY+XAVrB02g0Gk2noxU8jUaj0RwwCCFeFULcK4R4XQjxnhBiirm9qxDiN6Z17SFAKPv8QgjxDyHE+0KI88xtdwKFQoi3hBBPmNtOE0K8YW57SAgRdJ2+FAgB2wCklG1Syg+EENOBo4C7zH1rzb8XzfP+SQgxzDzHY0KIB81tHwohlpjbRyrnfkcIMbhTb6RGo9Fo9lu0gqfRaDSaA41iKeV04CLge+a2W4DXpJTjgWeBvkr7s6WUE4FJwKVCiK5SymuBFinlOCnlqUKI4cCJwAwp5TggDpyqnlRKud089mdCiKeEEKcKIQJSytfN7Vebx/sfhqXvEvO8VwEPKIfqDxwGLAYeFEIUABcA3zTPPQlY3wH3SaPRaDQHIKG93QGNRqPRaHJAZrH9KQAp5R+FEGVCiApgFnCsuf1XQogdSvtLhRDHmK/7AIMxrXAK84CJwN+FEACFwJaUTkh5jhBiNDAfQ3FbAJypthFClADTgZ+YxwLIV5r8WEqZAD4SQnwCDAP+AtwghOgNPCOl/MjnPmg0Go3mIEcreBqNRqPZn9gGVLq2dQE+Vd67lUDpsx0hxGwMZewQKWWzEOJVoMDjvAL4vpTyukwdlFK+C7wrhPih2a8zXU0CwE7TGud5iNRDyieFEH/DsOq9JIQ4R0r5u0x90Wg0Gs3Bh3bR1Gg0Gs1+g5SyCagTQswDEEJ0AY4EXlOanWh+NhPYJaXcBfwR06VSCLGQpJJYDuwwlbthwDTlOFEzcQrAK8ByIUS1dV4hRD+1b0KIElNhtBgHfGa+bsSI0UNK2QB8KoQ43txPCCHGKvsdL4QICCFqgYHAB0KIgcAnUspvYbh7jsnmfmk0Go3m4EMreBqNRqPZ31gB3CiEeAv4HXCrGddmsUMI8TrwILDS3HYrMEsI8U/gcGCtuf1FICSEeAf4MvBX5TgPA+8IIZ6QUv4buBH4jdn2ZaCHq18C+KIQ4gOzb7eStN49DVxtJnmpxVA2Vwoh3gbeB45WjvMB8Afg18AFUspWDKX1PfO4w4AfZHuzNBqNRnNwIaT0C2fQaDQajWb/wnSxvEpK+ebe7kt7EEI8Bjwvpfzp3u6LRqPRaPZPtAVPo9FoNBqNRqPRaA4QtAVPo9FoNBqNRqPRaA4QtAVPo9FoNBqNRqPRaA4QtIKn0Wg0Go1Go9FoNAcIWsHTaDQajUaj0Wg0mgMEreBpNBqNRqPRaDQazQGCVvA0Go1Go9FoNBqN5gBBK3gajUaj0Wg0Go1Gc4Dw/98cec0cbqbHAAAAAElFTkSuQmCC\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "losses = [adagrad_loss, adadelta_loss, rmsprop_losses[1e-2]]\n", "labels = ['adagrad', 'adadelta', 'rmsprop']\n", "\n", "plot_losses(losses, labels, 'Adagrad vs. Adadelta vs. RMSprop', ymax=1.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's still a bit hard to tell.\n", "\n", "How about we smooth the loss curves with a moving average?" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [], "source": [ "def moving_average(x, w=5):\n", " return np.convolve(x, np.ones(w), 'valid') / w" ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "losses = [adagrad_loss, adadelta_loss, rmsprop_losses[1e-2]]\n", "smoothed_losses = [moving_average(loss) for loss in losses]\n", "labels = ['adagrad', 'adadelta', 'rmsprop']\n", "\n", "plot_losses(smoothed_losses, labels, 'Adagrad vs. Adadelta vs. RMSprop', ymax=1.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "RMSprop is looks like it's the worst of the three, but not really by a lot.\n", "\n", "Before we ruin our eyes by squinting at loss curves for hours, let's move on to the final optimization algorithm: Adam.\n", "\n", "## Optimizer 6: Adam\n", "\n", "RMSprop's idea of annealing the step size over time, whilst using an exponential moving average to avoid saturation, seemed to work out OK. What if we added momentum to it? That's how you get Adam.\n", "\n", "Adam has an exponential moving average of the gradients, like the momentum term that can be added to SGD, and an exponential moving average of squared gradients, like RMSprop and Adadelta.\n", "\n", "$$\\theta_{t+1} = \\theta_t - \\eta \\cdot \\frac{m_{t,i}}{\\sqrt{v_{t,i}}+\\epsilon}$$\n", "\n", "where:\n", "\n", "\\begin{align*}\n", " m_{t,i} &= \\beta_1 m_{t-1,i} + (1-\\beta_1)g_{t,i} \\\\\n", " v_{t,i} &= \\beta_2 v_{t-1,i} + (1-\\beta_2)g_{t,i}^2\n", "\\end{align*}\n", "\n", "Adam's $m_{t,i}$ is equal to $v_{t,i}$ from SGD with momentum if it had a $(1-\\gamma)$ term. Adam's $v_{t,i} = E[g^2]_{t,i}$ from RMSprop and Adadelta, with $\\rho$ replaced by $\\beta_2$.\n", "\n", "As $m$ and $v$ are initialized to zero and $\\beta_1$ and $\\beta_2$ are initialized close to one the $m$ and $v$ values calculated on the first few update steps are \"biased\" towards very small values. This is why we saw a huge loss for the first steps of Adagrad, Adadelta and RMSprop. \n", "\n", "To solve this, Adam uses \"bias corrected\" values of $m$ and $v$, calculated as:\n", "\n", "\\begin{align*}\n", " \\hat{m}_{t,i} &= \\frac{m_{t,i}}{1-\\beta_1^t} \\\\\n", " \\hat{v}_{t,i} &= \\frac{v_{t,i}}{1-\\beta_2^t}\n", "\\end{align*}\n", "\n", "This gives the final Adam equation as:\n", "\n", "$$\\theta_{t+1} = \\theta_t - \\eta \\cdot \\frac{\\hat{m}_{t,i}}{\\sqrt{\\hat{v}_{t,i}}+\\epsilon}$$\n", "\n", "Note that the bias corrected values on the first call to `step` are calculated with $t = 1$ and not $t = 0$." ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [], "source": [ "class Adam:\n", " def __init__(self, model_params, lr=1e-3, betas=(0.9, 0.999), eps=1e-8):\n", " self.model_params = list(model_params)\n", " self.lr = lr\n", " self.beta_1, self.beta_2 = betas\n", " self.eps = eps\n", " self.avg_grads = [torch.zeros_like(p) for p in self.model_params]\n", " self.avg_sqr_grads = [torch.zeros_like(p) for p in self.model_params]\n", " self.n_steps = 0\n", " \n", " def zero_grad(self):\n", " for param in self.model_params:\n", " param.grad = None\n", "\n", " @torch.no_grad()\n", " def step(self):\n", " for param, avg_grad, avg_sqr_grad in zip(self.model_params, \\\n", " self.avg_grads, \\\n", " self.avg_sqr_grads):\n", " self.n_steps += 1\n", " avg_grad.mul_(self.beta_1).add_(param.grad * (1 - self.beta_1))\n", " avg_sqr_grad.mul_(self.beta_2).add_(param.grad * param.grad * (1 - self.beta_2))\n", " avg_grad_corrected = avg_grad.div(1 - self.beta_1 ** self.n_steps)\n", " avg_sqr_grad_corrected = avg_sqr_grad.div(1 - self.beta_2 ** self.n_steps)\n", " std = avg_sqr_grad_corrected.sqrt().add(self.eps)\n", " param.sub_(self.lr * avg_grad_corrected / std)" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [], "source": [ "optimizer = Adam(model.parameters())" ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 39.98it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 39.78it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:12<00:00, 38.39it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 40.18it/s]\n", "100%|█████████████████████████████████████████| 469/469 [00:11<00:00, 39.26it/s]\n" ] } ], "source": [ "adam_loss = train(train_iterator, model, optimizer, criterion, device)" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_loss(adam_loss, 'Adam with lr=1e-3, betas=(0.9, 0.999), eps=1e-8')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks good so far, no large spike in losses. Let's compare it against the other optimization algorithms." ] }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "losses = [adagrad_loss, adadelta_loss, rmsprop_losses[1e-2], adam_loss]\n", "labels = ['adagrad', 'adadelta', 'rmsprop', 'adam']\n", "\n", "plot_losses(losses, labels, 'Adagrad vs. Adadelta vs. RMSprop vs. Adam', ymax=3.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Adam seems to be in line with Adagrad and Adadelta, though better than RMSprop. \n", "\n", "Let's check by zooming in." ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "losses = [adagrad_loss, adadelta_loss, rmsprop_losses[1e-2], adam_loss]\n", "labels = ['adagrad', 'adadelta', 'rmsprop', 'adam']\n", "\n", "plot_losses(losses, labels, 'Adagrad vs. Adadelta vs. RMSprop vs. Adam', ymax=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, all looks pretty equal between Adagrad, Adadelta and Adam. \n", "\n", "We can perform a running average over the training losses to see if this helps find a clear winner." ] }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [ { "data": { "image/png": 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3k1ytw5RqB8+EaKYFntYKAi926wIdhCGayqHshTss39RGj/iVAeuzIAiCIAiCIFRTLBaZPHmyiLt+opRi8uTJ/XY+ReANU5STNVfNTDo//ZG5Y8Cv4FjhtibJimM5LFnXAcD/Pb2mpu2lW5dyxKy9WO3YEHiD0n9BEARBEARBMIi42zF25LqJwBumKLcqejaeg5d8yEVfUfHKyXy7wA/LJCib7koYmpl3a2+Kvy37G4FS3NPcDH55cE5AEARBEARBEEYQV111FRdeeOEuPeb8+fN561vfOqBtisAbrlSFaFpdmm3Lmwh08pF1lWHx6i2Z+XZ+4GNbNqUo8rJaJwI4KsrQqZAQTUEQBEEQBEEYQLTWBMHQ1aIWgTdMUU6uZtm6Rydm5uD52qKzu5gkWdFe7OD5fri/bdc6dCbrpo+SEE1BEARBEAThVcE555zD0UcfzaGHHsrll18OwJVXXskBBxzAySefzEMPPRRve/PNN3PssccyZ84cTj31VDZs2ADApk2bOO200zjqqKP4+Mc/zsyZM9m8eTMrVqzg4IMP5lOf+hRHHXUUq1at4pOf/CTHHHMMhx56KBdffHHc9h133MFBBx3EiSeeyA033DDg5ykCb5hSk2QlIkh9ZH5g4yo/k2TFCzxcy8WvFNDaQlsdNW2YOXueUuLgCYIgCIIgCK8KrrjiChYuXMjjjz/OJZdcwpo1a7j44ot56KGHuOuuu3j++efjbU888UQefvhhnnzySc477zx+8IMfAPCNb3yDN73pTTzxxBO84x3vYOXKlfE+L7zwAh/84Ad58sknmTlzJt/+9rd5/PHHWbRoEffddx+LFi2iWCzysY99jJtvvpkHHniA9evXD/h5SpmEYYpyax08yGbRDLSFoz2+dcsSIEyyUvSK5J08vgbtN7Ok+De2FD/LpMKkeL/Y8VNEZRIEQRAEQRAEYfD5xs3P8fzaXrK895ND9hjHxW87tNftLrnkEm688UYAVq1axTXXXMPcuXPZbbfdADj33HNZunQpEJZ2OPfcc1m3bh3lcjkuU/Dggw/GbZxxxhlMnDgxbn/mzJkcd9xx8fvrr7+eyy+/HM/zWLduHc8//zxBELDPPvuw//77A/D+978/dhMHCnHwhikq18jBS4doKgh8Hly2NXwf+JT9Mjk7h+cHWE7o3n3v0e9l2rj06UvD7QGCXgqhC4IgCIIgCMIIZ/78+dx9990sWLCAp59+mjlz5nDQQQc1zFL56U9/mgsvvJBnnnmGyy67LC5VoLWuuz3AmDFj4tcvv/wyP/rRj7jnnntYtGgRb3nLW+I2BjujqDh4w5SGDp5OCbzACh04UwRdBxT9ItPsaZQrycTO6hvR16GoqygFvRVCFwRBEARBEIQBoi9O22Cwfft2Jk6cSHNzM0uWLOHhhx+mu7ub+fPn09rayrhx4/jzn//MEUccEW8/Y8YMAK6++uq4nRNPPJHrr7+eL37xi9x5551s3bq17vHa2toYM2YM48ePZ8OGDdx+++3MnTuXgw46iJdffpmXXnqJ/fbbjz/84Q8Dfq7i4A1TVFNT/eUpwy3QFtqvYD5GXycOXtlPhNsYdwz18FC9OngXzb+Ia56/pn+dFwRBEARBEIRhxBlnnIHneRx++OF87Wtf47jjjmP69OnMmzeP448/nlNPPZWjjjoq3n7evHm85z3v4Q1veANTpkyJl1988cXceeedHHXUUdx+++1Mnz6dsWPH1hzviCOOYM6cORx66KF89KMf5YQTTgCgUChw+eWX85a3vIUTTzyRmTNnDvi5ioM3TFFWg48mSNw4X1thkhSd1MEr+kUKdoGKl2w3Nld70wFUFKB7Fnh3vXIXd71yFx845AP9OwFBEARBEARBGCbk83luv/32muVz587lIx/5SM3ys88+m7PPPrtm+fjx4/n73/+O4zgsWLCAe++9l3w+z6xZs3j22Wcz21511VV1+3LGGWewZMmSHTuRPiAO3nBF1f9orJQzFwQWKvCo7+D5+MVpADS7zXXbqqjEwfMDn3n/nMeyrcsG8CRCfvDYD1iwdsGAtysIgiAIgiAIu5KVK1fy2te+liOOOILPfOYz/PrXvx7qLtUgDt5wJapVV42dmlsXaIUdeFkHzwsdvHZP0736Q7S85gc0Oz0IvMjBW9G2gr+++FcWbljIze+4eUBP5Zrnr+Ga56/hmQ89M6DtCoIgCIIgCMKuZP/99+fJJ58c6m70iDh4wxVVX+C55SSkMggUSnvoKLPmQy9tpNsr0V1WVPwA7bUASVIVCBOxGNIOXnzYVFafygCUUAgkiYsgCIIgCIIg7DJE4A1XLIumyeWaxW4lEV1aW7j4sYO3cOOjKKVpK5Yp+QHm402LLD8l6CoQZ9Gsl/K16BV3+jS8wNvpNgRBEARBEARB6Bsi8IYrymbaUdtrFhfKiWAKtMIhCdHc7q0DYP/xh1Lxgni5F3j86ulfceeKO/F0sn/awUsvN/Qm8B5a8xDzV83vcZuBcAEFQRAEQRAEQegbMgdvuGLZUKcGYlOxFL8OBZ6P0elKhSLt4ImH8U9/M6YBX/txcfOH3/dwvH96Dl7JT9o19CbwPnH3JwB6nFtX9mtdSEEQBEEQBEEQBgdx8IYrykapMGwyf8ABjDtyNwCa0wIviASeKX5uhW6ZUg4VPwAUaIttxW3xPumQybBMQhiiaYSYSqnKot9Y4HV73X06DXHwBEEQBEEQhJHAVVddxYUXXtivfWbNmsXmzZv7tM22bdv45S9/uTNd7BMi8IYrKQdPBz6TXjcVgObuRHQpbeGotINXiZeXvVC4KSzWdq6N92mUZKWe01bP1TOkt/d7KJaeFnj15vkJgiAIgiAIwqsBEXivdpRFnNDSD1DlVgCc7lCgBSgUKkyygoXWKnbwtHYoxuUUbDornXGz6YyaFXoO0ezJfUsLxa2lrQ23q/hJG/Xm+aXxA58bX7xRErMIgiAIgiAIA84555zD0UcfzaGHHsrll18OwJVXXskBBxzAySefzEMPPRRve/PNN3PssccyZ84cTj31VDZs2ABAa2srp59+OnPmzOHjH/94xsD4/e9/z+te9zqOPPJIPv7xj+P7WRPkS1/6Ei+99BJHHnkkX/jCF+jo6OCUU07hqKOOYvbs2dx0000Dcp4i8IYryoIoRFMHPtbp/w1AoVgkUIpyroBSZg4eaL8JpSLRpW26K+FyhUXJS8Tbbctvi1+HDl4UohnUhmj2JLQyQtFvLATTIrGn7QBuWHYDX//n17l28bU9bicIgiAIgiAI/eWKK65g4cKFPP7441xyySWsWbOGiy++mIceeoi77rqL559/Pt72xBNP5OGHH+bJJ5/kvPPO4wc/+AEA3/jGNzjxxBN58sknefvb387KlSsBWLx4MX/605946KGHeOqpp7Btm2uvzY5pv/e977Hffvvx1FNP8cMf/pBCocCNN97IE088wb333svnPve5AYl4kyQrwxXLxmkKxdeEd78ba5+jAWgpdRHYDr5lY2FhG4HnjQOnC60tvEDTHdfLszJz6X74+A/j12VF7ODVC9HsycFLh2X2JASNcOytPYCtxdAJ3Fba1uN2giAIgiAIwgjl9i/B+sYJ+naI3WfDmd/rdbNLLrmEG2+8EYBVq1ZxzTXXMHfuXHbbLcx1ce6557J06VIAVq9ezbnnnsu6desol8vss88+ANx///3ccMMNALzlLW9h4sSJANxzzz0sXLiQ1772tQB0d3czderUHvujteYrX/kK999/P5ZlsWbNGjZs2MDuu+++AxchQQTecEXZ2K7moH9ZC//2b+io/l3Or1DONzGm2AFLOrAOjurYeeOB9aBt/EBTNA6etli7vb22ea3xU3Pw6oVo9tnB0z04eCnXrreMmibsU9VLHyoIgiAIgiAIO8j8+fO5++67WbBgAc3NzcydO5eDDjqIxYsX193+05/+NBdddBFvf/vbmT9/PvPmzYvXKVU7VtVa86EPfYjvfve7fe7Ttddey6ZNm1i4cCGu6zJr1iyKxZ2vQy0Cb7hi2UAYqYlSqFwOlcuhy2UClUTW+lstmADaGwPAHpsV43/8Tcq7n2kaoqPcjeVmm3c1ofdX5eBl6uT15ODpWgdPa42nPdzUwTZ1b+pTewCa0JK2lEQOC4IgCIIgjEr64LQNBtu3b2fixIk0NzezZMkSHn74Ybq7u5k/fz6tra2MGzeOP//5zxxxxBHx9jNmzADg6quvjts56aSTuPbaa/nqV7/K7bffztatYQTaKaecwtlnn81nP/tZpk6dypYtW2hvb2fmzJnxvmPHjqW9vT3Tp6lTp+K6Lvfeey+vvPLKgJyrjKSHK8qO/k0+ImtMKOICy+KyN38KAJsA0OigCYB/v63EmAfvYcYmc4PYcX28TPNoAmqzaKYTsvTo4NUJ0fz+Y9/nqGuOysQOXzT/ovh1rwJPi8ATBEEQBEEQBp4zzjgDz/M4/PDD+drXvsZxxx3H9OnTmTdvHscffzynnnoqRx11VLz9vHnzeM973sMb3vAGpkyZEi+/+OKLuf/++znqqKO488472XvvvQE45JBD+Na3vsXpp5/O4Ycfzmmnnca6desyfZg8eTInnHAChx12GF/4whc4//zzefzxxznmmGO49tprOeiggwbkXMXBG65EDl7aerNaWvC3bsVTNu25UOyhYdoYh61+AYjzsoTiDcIaeVatsNIoAqVrsmj2VeCls2ia7UxyFF/7OKr21uotRNM4eBKiKQiCIAiCIAwk+Xye22+/vWb53Llz+chHPlKz/Oyzz+bss8+uWT558mTuvPPO+P1Pf/rT+PW5557LueeeW7PPihUr4tfXXXddZt2CBQv61P/+IFbJcMXE9tq5eJHVFLp03QGs3h7F52r45tsPRPvhOitywXQskiyo4+AFKgrRDLKFzru97iRcsweBlw7lrN4uHb55+szTG25X0yczB69OXLMgCIIgCIIgCL0jAm+4EgkvnETgKSd0xXzLRkciSGtwCeIQTRW5YIERSdpGqdp0q5rI5auTRbO9HMYG97UOXrVwS79Pv07vUw8J0RQEQRAEQRCEnUNCNIcrzZPguH+HOecny4zAUxZ+SgQ5yoMgFIK1Dl59N0wTunhEoiudRdO8NuKsXsjk7S8nFnd1AfOMwNP9EHiSZEUQBEEQBEEQdgoZSQ9XlIIzvgPTDk0WWeHH5Vl2IuC0IkeA1uFcPWPWaaWwFPj25rrNhw4eSZKVVL26oheGf8YCTynWdqzlXf/3LjZ3h+1d8ewV8fY9hWim16WX16M3ASgIgiAIgiAIQs+IwBtJOGHilUBZcQim1uAqD4LQ3TMCz9KavGMTybgatFL4DUI0TWF0I84sLK5bfB1Lty7llpduqWmrRuClMmymwzwlRFMQBEEQBEEQBhcZSY8glB2KOC81Bw/AVQHoSOBFyywdUHAtoHb+HcAsT4chmnUKnZvXRpx52otf13PhenPwTIhnbw5eHKIpt6UgCIIgCIIg7BAykh5BKDtx8JIQTXDw0brawQsouDZO6wdq2jndmcTpFRUVOs9m0YQwkyZkhdtzrc9Fh6sVjL0lWcnb+bDfvTh4Zn29YwiCIAiCIAiC0Dsi8EYSUYimb9kEURij1uBoL3bwrEgb2Tog71jQeXhNM0eqMdjKQiuF3rQUCAWeG9XcK21cAmTDK42rly5ibqhOslLt4OWiUg99nYPX23aCIAiCIAiCsKNorQmCwc394PtDN54VgTeCUFHxc50O0dQKVwXomjl4oYPnBRoduJl2HJJ5bv6zfwZCATfOaQ5fL/hfoH7dOl/7NSKvJwevElT67OA1ak8QBEEQBEEQdoYVK1Zw8MEH86lPfYpJkyax33778W//9m8cdthhnH/++dx9992ccMIJ7L///jz66KMA3HfffRx55JEceeSRzJkzh/b2dubPn89JJ53EO97xDg455BA+8YlPxGKxpaWFr3/96xx77LEsWLCAn/zkJxx22GEcdthh/OxnP4v7cdBBB/GhD32Iww8/nHe/+910dXUN6LmKwBtJRA6etu2whp1ZjAdRFk0rnWTFtQkCTdfLnyYoT0i21xo72t9IrrJfZlxuLADdldo6eEbUaa0zGTeh9xBN4+D1NURTBJ4gCIIgCIIw0Lzwwgt88IMf5Mknn2TVqlX8x3/8B4sWLWLJkiVcd911PPjgg/zoRz/iO9/5DgA/+tGP+MUvfsFTTz3FAw88QFNTWHf60Ucf5cc//jHPPPMML730EjfccAMAnZ2dHHbYYTzyyCM0NTVx5ZVX8sgjj/Dwww/z61//mieffDLuxwUXXMCiRYsYN24cv/zlLwf0PKUO3gjCJFkpaStT6NwhwNLh+7SDl3csfK0JKlMpbzmRwu5hBkwXsKL9/XEzgLBMwsTcWF4GOqvKJEAyLy4gyCRkgdqC6OkQy7SDl86uWQ+zn4RoCoIgCIIgjE6+/+j3WbJlyYC2edCkg/ji677Y63YzZ87kuOOOY8WKFeyzzz7Mnj0bgEMPPZRTTjkFpRSzZ89mxYoVAJxwwglcdNFFnH/++bzzne9kzz33BOB1r3sd++67LwDvfe97efDBB3n3u9+Nbdu8613vAuDBBx/kHe94B2PGjAHgne98Jw888ABvf/vb2WuvvTjhhBMAeP/7388ll1zC5z//+QG7HuLgjSBMkpWJ45oSB0+D43eyt94SblPj4EU76yRM09FgRx99ELlxZb/MlNwEANpMvT1dK/C01pmELABbi1sz79NCrj9JVmKB14sQFARBEARBEIT+YsQWQD6fj19blhW/tywLzwvHwF/60pf4zW9+Q3d3N8cddxxLloTCVKWy2affFwoF7Gi8Xi9vRfX2jd7vLOLgjSSiG+bwmZP4y6deT+dd4WK3tJV92chmIK81oOIkK16k8EyWTQAHnTh4fui+lfwSTXaOsX7ANsvizufWU/KyQg5CkVYt8NZ3rs+8r06yEjt49Zy5YhvYLrhNSYimlhBNQRAEQRCE0UhfnLbhwksvvcTs2bOZPXs2CxYsYMmSJUyYMIFHH32Ul19+mZkzZ/KnP/2JCy64oGbfk046iQ9/+MN86UtfQmvNjTfeyDXXXAPAypUrWbBgAccffzx/+MMfOPHEEwe03+LgjSCMg+e4LtMnhk8gtFY4pa0coNbzl9XrmOBFteR0wO60MllvC3dOCTy3bT12JPCCKAyz7JfJKZvxgc922+KCaxby1OotNX0IdG2I5oauDZn3mTl4uoc5eFrD9/aC350DJM6dOHiCIAiCIAjCUPOzn/2Mww47jCOOOIKmpibOPPNMAI4//ni+9KUvcdhhh7HPPvvwjne8o2bfo446ig9/+MO87nWv49hjj+Xf/u3fmDNnDgAHH3wwV199NYcffjhbtmzhk5/85ID2Wxy8kUSUZEW5DkRZMNHgFLewn7WWAysVXohCNy2t+ebyf+GbBZhVvA6ClIPXvg4rH8YN+ymBl7ccxgcB26MQzfZiEcd28LQX28wBWQfPVnaNo9eoTEKNwNu+Kvx31cOZ/WQOniAIgiAIgjCQzJo1i2effbbmNcBVV11Vd7v//d//rdtWc3Mzf/rTn2qWd3R0ZN5fdNFFXHTRRTXbWZbFpZde2u9z6Csi8EYQJskKtoOyolhdp4BdamMq0Ty4KETTqhJT2RBNUg5eBbq3UvKL5JRDXmsqJnxT+7i2i+clAg+dFEXfZ/w+TG2aStEvZo6VduAqfqVxiKZXXxhKFk1BEARBEARB2DEkRHMEYUI0leNA5LJpbJT2mazaiBYAYaHzDCmBl9MaK/rofUB/fxbloEJOWbgaKpF29HUqQQpJEXITovmVY7+CYzk1zlx6Dp2ne0iyUiX44hBNcfAEQRAEQRCEYcjcuXO55ZZbdnj/avdwMBCBN5KIBZ4dCzyUjaV9Jqmwdh2pMglp0g5eXmtsE3KpwBQ5yCsbN+XgeWpbLM4qUTKWdJKVvJ3HUlaNIDMOXKADAh30IPCy7816mYMnCIIgCIIgCDvGoAo8pdQZSqkXlFLLlFJf6mG71yqlfKXUuwezPyMd4+DhOEk6VWWhtMcUq1rgZVOzaq8lfp3XGhWJsgDoisRiQTmhwENh5ddTtlfFCVRMcXNNUug8Z+ewlFWTBtYIPPOvmYNX48xVCbk4RFOyaAqCIAiCIAjCDjFoAk8pZQO/AM4EDgHeq5Q6pMF23wf+Plh9GS0ok2TFTkI0wQK/gquzxcaNg1fptnj92mfQlYnxunygsQMj8BSbI+E4xRmDA1SUwnJbM+0ZB88PkhDNnJWr6+CZ9Ubg9dXBkzp4giAIgiAIgrBzDKaD9zpgmdZ6uda6DPwROLvOdp8G/gpsHMS+jA6iJCvZOXgWVLrD9U4hdvDcyAVb+Y8pfO3Rq7GDxGXLa41l5rsp2GgEntsShWiCDpLijwCVIBR4nvbiEM2cncNWdizcbBW2015uz+zTMMlK9Rw8yaIpCIIgCIIgCDvFYGbRnAGsSr1fDRyb3kApNQN4B/Am4LWNGlJKXQBcADBt2jTmz58/0H3daTo6Oga9X2NWraIFeGXNahY/+CBTgXLFp3XDGiYDFRyj72iKZtaV28OPOD0nL6c1XqkbmhwCoNUJxeKW5avjOXg6cDPHLnmhK7dqzSrczeG6Jx59gtatrbSX25k/fz45cnTTzTNLn2H+hvm0+WHil7Ur1wLwwtIXmL9+ftzm2LYXOTp6PX/+fDa3bgZgw6YNw/IzHinsintREHpD7kNhuCD3ojBceDXfi+PHj6e9vX2ou9Er1157LU888QQ//vGPh7orGYrFYr/uncEUeKrOMl31/mfAF7XWfjynrN5OWl8OXA5wzDHH6Llz5w5QFweO+fPnM9j92vTsc2wGZs6cyZSTT+YFIJfLM3lcM2wBt2lcHPbYbGVDNtNZNfNa0xS5dj6KUnTtD9//ABZsCOfgOaoqcUrkCE6eOpl9pu4Dj8BJJ5zEgkcXsGXLFubOnUv+j3m6S91M3XMqc4+ey/rO9fAXOOg1B3HrwlvZd799mXvo3KTRVWPgifDl3Llzuebv18B6mDBpwqBfy9HMrrgXBaE35D4UhgtyLwrDhVfzvbh48WLGjh071N3olUKhQC6XG3Z9LRQKcZH0vjCYIZqrgb1S7/cE1lZtcwzwR6XUCuDdwC+VUucMYp9GNMqJ9Lgf1A/RdJtAh2JtMtlCi3aQFXi2yXSpwnl4ALZfwdXgKXDJCkQdaXMvyIZoWpYVz5kzoZod5Y54W7Nden3SqMzBEwRBEARBEHYN55xzDkcffTSHHnool19+OQBXXnklBxxwACeffDIPPfRQvO3NN9/Msccey5w5czj11FPZsCFMPDhv3jw+9KEPcfrppzNr1ixuuOEG/uu//ovZs2dzxhlnUKlU6h57VzKYAu8xYH+l1D5KqRxwHvB/6Q201vtorWdprWcBfwE+pbX+2yD2aURjkqxoz0uyaKISgVfpji3SD+lsfY53vXRf/NoBrGh+nB/9D2BVunAJQzQLhCGZ5x54bqadSlCJ59bl7BwWViz+YoFXyQq8Ps/Bkzp4giAIgiAIwiBxxRVXsHDhQh5//HEuueQS1qxZw8UXX8xDDz3EXXfdxfPPPx9ve+KJJ/Lwww/z5JNPct555/GDH/wgXvfSSy9x6623ctNNN/H+97+fN77xjTzzzDM0NTVx6623DsWpZRi0EE2ttaeUupAwO6YNXKG1fk4p9Ylo/aWDdexRS+Tgaa9S5eB1hesrXUBTuLwqGPa9L9zNOT+GD33OQZE4egGKINKKdqU7noOXt8qUgTft/Sb+9MKf4nYqQSV28FzLzWTRNAIvTsjSHwcv8OP1Zj9BEARBEARhdLH+O9+htHjJgLaZP/ggdv/KV3rd7pJLLuHGG28EYNWqVVxzzTXMnTuX3XbbDYBzzz2XpUuXArB69WrOPfdc1q1bR7lcZp999onbOfPMM3Fdl9mzZ+P7PmeccQYAs2fPZsWKFQN6bjvCoNbB01rfprU+QGu9n9b629GyS+uJO631h7XWfxnM/ox0VJRFE8+Pi56DBVtfDl9WuuKJj9qvndPYVIaPt24P90pl0fSjvaxSB64OyyTkIwfPtbLJVozAcywHS1nYlk1gxKLO/tt7Fs2swDPz/KQOniAIgiAIgjCQzJ8/n7vvvpsFCxbw9NNPM2fOHA466CAa5QH59Kc/zYUXXsgzzzzDZZddRrFYjNfl8+HY1rIsXNeN27AsC88b+nHsYCZZEQYY5RoHLx2iaVFut/FKFs1TynGIpg7q36yf3NwOObB0UgfPyCy7uB03sv7yKryJHSt7i3iBRzkok7NCV66eg2dCLatDNKsLomcKnWu/Zn9BEARBEARhdNEXp20w2L59OxMnTqS5uZklS5bw8MMP093dzfz582ltbWXcuHH8+c9/5ogjjoi3nzFjBgBXX331kPR5RxlUB08YYCLXTvvRkwHLQmPx0q3TeOXu3eC0b2LUWnU0pMHXzWFTaQcv0oJW11bcSCK6VijwLGVhqeQ2MQ6eCbtM18GLBVok+IwTZ0I5jaMXU+XgSR08QRAEQRAEYTA444wz8DyPww8/nK997Wscd9xxTJ8+nXnz5nH88cdz6qmnctRRR8Xbz5s3j/e85z284Q1vYMqUKUPY8/4jDt4IQjlRuKSXCLz0ZLs11zyGqU6hdX0HL9BNbFvu40xTsHuoB02Ipt29BdcUSo8Enq1sLCyCSDlW/AqVrS+Ti4qaK1S8Lv630g0/nY131jeB0AXM2/l47l5MRuB5Nc6fIAiCIAiCIAwE+Xye22+/vWb53Llz+chHPlKz/Oyzz+bss8+uWT5v3rzM+46OjobrhgoReCMIFSdZCYWQUgoqSTxw2/zH49cNHbygwLpHXZoBDgvFnXHw7I6NcYimE4VoKqVCBy8SfpWgQnn5vbjNLeE+0Rw8rXWSJGXzUti+ksoLYRYh13Yp2AWKftLXmk7qoMYBFARBEARBEAShf0iI5gjC3TOMA87vvz8AulKh9bGuutvqQNGxeVLN8sDLZd+n6uBZbetigdditQOhg2dbdry954fZNXN+GG5p5uDpVA37oHMjAN3RPMEmp4m8k6foVQm89Fy7wI+dO5mDJwiCIAiCIAg7hjh4I4jmOXOY9efrKRxySK/b6gDWPlioWe5VXKA7fh8QzsGztEaV23GbQlE4wdoG1JmD55coK0Uu0nNmDl7adTOOYFf0b7PTTMEuUPJLtZ2MX/vi4AmCIAiCIAjCTiICb4TRNHt23zYMFCgFZDNXeqUoUYsKl/sqzKJpJJzrhBkvcyoUgVb0n6Hkl6goRc6kgzUO3ton423MnL7uaE5es9tM3s7XCdFMO3hekpxF5uAJgiAIgiCMKrTWDUsSCI2pyULfByREc5QSlkmo/SPySuEy5YQ3S0AYommbuXd26PppKxRZlmVhWVmBV1YK1yRmUTZaa/zfvzveJnbwInHZ5DRRcAq1IZrVdfBMiKY4eIIgCIIgCKOGQqFAa2vrDomVVzNaa1pbWykUaqPyekIcvFGKDgBlEddNiPCKkfpKCTxfJUq/vWzBGB9UKLJsZWOrZA5et1+mrBRN0R5KqdDBS4nAxMELj1GwC/VDNKvq4JmyCttK2yj5pbh+niAIgiAIgjBy2XPPPVm9ejWbNm0a6q6MOAqFAnvuuWe/9hGBN0rRcYhmFr8UPTmJ9JgJ0TQSrqtiAxUC5QM2lrIyxc497VNUivFRA7ay0Wi8lAg0sq0LnyanCduyyTt52rraqjqZeooT+PiBzx5j9mBt51pe3Poih005bIfPXxAEQRAEQRgeuK7LPvvsM9TdeNUgIZqjlMTByxJ4kaiKtF8AeEphR4u1Dmvt5a1oDp6y2H/C/pk22i0Lk4vTJGDxUscKTIimDgUeQN7O10myUptFc1IhTPLS7XUjCIIgCIIgCEL/EIE3gmk55ZSG6xrNwdOVMGRTReGTPmSSrKBDt66okjl2+4zPPnFps63MHDyAip0qpRCta/dLjM2NBcIwzR7n4OlQ4OXsUDpKohVBEARBEARB6D8i8EYwe/70J9iTJwOgclX17XyFDpIQSMsNxVRQjkRV04TwvVL4KKx401DglVNZMs1cOCcKqeywLHKVbvjHt9nSvQWAK5uSME7j4G33uxmfGw8QJlnpodC59j087VFwwkmkQaNK7YIgCIIgCIIgNEQE3ghG5XJM/td/Dd+kkpzYeR+/aGUEntMUhkPGDl4k8Dzgr+NaaHXC/TVhiGZ71J6lLPJOnn3Xaa77ns8erWGbOa8E9/+AVRsWAnBHPnELTZKV7V6RsfnQwasboplKsuJF64yDJ5k0BUEQBEEQBKH/iMAb4ahClGkylVDFaQrwSxb4iQvm5AOwNEElFE7BytW87oUgFnKG5o0eMzdoFjaFTpqlLAp2gROeD9s6elkk8CLtWIzq36XzXZoyCW1+kXG5cUDo4JW8xoXO/SgksxCVafADEXiCIAiCIAiC0F9E4I1wrHxUFyMt8PY9jMCz0JVkHtvEAztRlqZSTJZ9/oaAbis7T++QW9fywysScWUrO5NF05CLwjXbo/1zcXJOFWfRbA9KscDL23k87VEJKkkjOu3glcN2xMETBEEQBEEQhB1GBN4IRzlhchPluvEyZ+YhmW3G7F5k3J5FlAXKywqnrjqZNjPtK5V10yIh50YC7zNbtwMwXYftuMrGj8Rmd1Ch2WkGiLNpZly8VJkELwgFnpnvZ2riCYIgCIIgCILQd0TgjXD8zk4Amo85Jl4Wh21WoSyN7evMsi6rNtNmGlvZeNpDV23mRErvhO4iuzXtFpdTd5UVZ+YsaT9OmmKEWybRSp05eGa7IJAkK4IgCIIgCILQX6TQ+QhnwjvfCZ5PYfZhdNxzDwBWrkrgadAolKVr9u+yetb4ltaZjJZG5zmppgpOgU4VLnCVjYeKyyxUC7xMopVUu55fyWwnIZqCIAiCIAiC0H/EwRvhWIUCkz74AaxCIV6mogQpJrPm5IM7UGOmEFSyH3egoEv17OD5FZ8nVraayEwiHYdNovCanCbaovd5ZeOrpI6eCc00Qi8boply8IKswKtXB09rTVelq8f+CoIgCIIgCMKrGRF4owTlJGasM3FiuCyXo2WmYszuZbBzNQLPs6CzFwfvp39fzN0Lx9bUTLerHLy2aH1B2fgQJ28xWTHNv91+d7JjxsELBV3eiUI069TBu3TRpRx73bG0ldt67POrgSc2PMG/3/Pvkm1UEARBEARByCACb7SQFnjTpgGgi0WUHS20czW7+DZ0R07bzEqlZj3A9Y+uxO6ewYe3haIqcfASmuw8bdGKpijJSrWDZ4RbxsHrYQ5evRDNW5ffCkBrd2vdvg4kXZUutK4NaR0uPLL+Ee5ffT+dXudQd0UQBEEQBEEYRojAGyWks2imi55bRok5tYlXPCtJsnLJhk1127UJcPAxuViMkWenxE+TVgRG0EUOXjHKzmlCM42D1yjJih9lzexJ4DkqFLH1wjcHki3FLRx73bFc+dyVg3qcnaGtFApucfAEQRAEQRCENCLwRgnpEM3MaxNL2dDBi8obNHCrXHxsakVE2sErWEnbTVhopXgxFwrOsbmxQAMHL1MHryrJSh3hYurxlaOaeYPFhs4NANzx8h2DepydwYSpSjKaVwfrO9dz6p9PZWXbyqHuiiAIgiAIwxwReKOErKizU6+jF/ufXrOPZ8FaxgPwhH8ga5sOSFZGgs/Gx6W2Dp5jBKE7hiY7cQ8Lkcf3dD5HAZsjdzsyXJ5y8O555R7uXHEnpJw4UwC9p0LnRuB1eYObaEUzfEMzDdtLYf1BcfBeHdy6/FY2dG3gLy/+Zai7IgiCIAjCMEcE3ighLfCwU2LPlEaYdmjNPp4NQbT+Pyuf4f+O+2PSRJTjxFFhiGbcnlkPoSsYeBSsWoFXtCxsT2FHMaImVLPoFfnP+f/J5+77XEbgmSyaRgjWE3imrcHOpHnf6vuAsMj7cMUIvHrJaITRh3nooKqzHQmCIAiCIFQhAm+04CQiSzmJg2eZgnV15uD5lkKpSGRpi/FNSRu5KOeKjZ8ReKZQuqU15MZAUKGgEkEZCzylsFPV0evWwUsLPL/KwasXoqkG38Hb0LmBXz71S2B4D6ZNiKanB3c+ojA8MAl/hvM9KQiCIAjC8EAE3ihBuZHIUiqTZCV28BrMwSMSeFrbjC0kQm1SR/ivg4+jfHQk1hzj7AG4Y0AHNKlEGDZFh6sWeMaZywq82iQrxumrJ1yMSNxW2lazbqBIi8fhPJgWB+/Vhfmch7OrLAiCIAjC8EAE3ihBuS7ujBlM/+53+pxkZUw3OH4ksrRFk5PcDlO2h/s5kYNndIQTbW4bBw9oSg06swIvOZZJstLtpergZcokhIIuFyVsqSdcxuXHAfDClhdqL0CKhRsWsq24rcdtGpEujTBcB9Naa7aXZQ7eqwkJ0RQEQRAEoa+IwBslKMviNffczYRzzskmWenBwZvcofmPm4yQsimk7obEwYvm4AWRg2cEHkCuGYAxqRBNyws3KFoKJ+XguZaLoxxKW1ckB6kzB8+2bBzl1BUulSiMc23H2rrXAEJh+OE7PswFd10AhGLoymevZMmWJX1yu9LbDFeB1+11x6UiJIvmqwOTOVYcW0EQBEEQekME3mgklWTFirOl1Ao8gGOXRgJQWxSsxL0qRJUI7GoHL/rX1sCkfQFoSbkKm1vDwtvGwVuyvi1el7dzFBf9ITl44MVpPitRSKajHCxl1RUupSAM7+xpkGv2W7xlMQAvbXuJnyz8Ce+5+T1c8/w1Dfer3h+Gr1ti5t+BCLxXC8b5zjjggiAIgiAIdRCBNwrJJFlxGzt4EBpz4fw6i7yqFXhOVCYhnoNnHLwzvgt7HQskYZkABT8UX93KwtWKM372QLwubzmU0q5Y4Mf9Mo6dYznYlt2jg9dTYpG0+HthywsZF+7x9Y833K/e/goFPz4YfndOr/vtSsz8OxCB92rBfM6ZOayCIAiCIAh1EIE3GkklWbFzRuDlGXvaqTWbejaY2yCfuhuayskcPDvl4NlG4O12IERlC5xo/tzru7opEG5YVAqnqp5cASsr8LQfZ/f0Ao9Tngzg6cVhiGYd4WLci+2l7Ty34GewfH7NNn7npvj1u29+d8aFM0XXe6ImRLN9LSy/t9f9diUZgSdz8F4VmM9ZQjQFQRAEQegNEXijkHSSFSu23Fxm/OxnnP+uH3Drl38Zr6/YoFS4jX3zDfHyOERTBbjKRwdVWTSVA1HhcdvMB1OKvAo3KFkKV8N+ak3SprLpTolP36+kBF6Fj98R0H3BRVhW/RDN9nI7AMu2LeO8pb+l+5pzarbx7/9R5r0poA7Qkmup2b6atDs4XEI0Ax0w++rZXPXsVUA2RFMG/K8OzN+DfN6CIAiCIPSGCLxRSDrJiu0mdfCUbVNxciwsNaF2mwqEAg/gzvcdQOnSX8T7NaVCNB18jBkXO3iWDVGB82lh0QQOLZVQkZtXVIo92co9+S/A0r8DkFfZEM1SUAE7cfDiPqv6IZodlY7se6tWgAW2m3lvklMAtLh9EHipfugqB3KoMML250/9HMg6eOn+CqMX8zmLwBMEQRAEoTdE4I1G0klWXKPIwrlu7SWPha9speKG771I4O0zbXymiZOf1SitU0lWsnPwlm/qih28fa0Cf1mzjk9v3U4uGoB6SuGYkgMbw4QnBWVnBN7Sjdvi5C9BdyLEbGXXdfA6ylmB12bV3r5e04TM+7SD1xvPbn6WD9/x4fj9zgymS36Jby74JluKW3a4DYNpo9kJs5aaEgkgA/4dZVXbKn77zG+Huht9xvw9yJxLQRAEQRB6QwTeKCSdZMUpmMlzoZB651EzcGzFxTPPBGDt5EhwpYRCVxQ26XrgNqiD951bX0iEpFfkwHIFB8iTOEquEXiRqMsrm2JK4L2ytT128OhKkkfYVq3AqwQVin4xs2y7ZVNNENXKS+9X73U93nvrezPvd2Z+250r7uT6pdfz04U/3eE2DLHAcyOBl3bwekg4IzTmE3d/gp898TM2d28e6q70CZmDJwiCIAhCXxGBNwrRlVDIuHvtlQi3KHRx8pgcWsMT0w7kxenKlLcDPxEz1x0YJmN579YO7KgOnnHwTNWFMblc7OBRCYVXgIWbEmY5XZVkRWWTrHi+F/eLzioHr0pcdZY7a86znoPnV4VVpkM006+rWd2+umbZzognMxAfiAH5ttI2APKRGJY5eDtPZyW8n7QeHmG4vWHuRfm8BUEQBEHoDaf3TYSRhjtjBhPOO5dJH/wgsAoevwKcAgC2ZeEH4aC2YidJU3SQDBxLkdv3n63b+U8rFFpmHOz44YtJzYV4Dh5RdktfueRJ2inEDl4oxBwUXmranFI+WDlQdixKIRR41eKqnvvWZtcReH52u/R+5aCxwDvzhjNrli3ZsoSiUsl59IOBnL9nykOYNiWL5s5jRffkSBFM4uAJgiAIgtBXROCNQpRlMX3evOjdvrDvyfE611aUo1p1ngO5SiREIgfvuUmzqETOnA7Atvwwl2RVFs1n13SyZKPFQRA7eJ6VwyURHEYYaUABjlJ46cyUKghLLVg2vp8MXB2smoFsvblHbXbt7RtUJR1Ji7qeHLxG/GjSBL7aurXf+w0kRqSaRBtt5Tbydp6SX5I5WTuIyZDanzmaQ4nMwRMEQRAEoa9IiOarDCcV1uhZyZw64+DdvO8JeNHcNh0oXOXT7AQ1c/C0tvnJP16OGgodPE/lKOhagReYDJyajIMHOgzztBx0yolytVXjTJmBrXFeANqc2uLtXpVLZ9wvS1k7JPBWOUP/DMScuxEjFb9Ck9OUWSf0k+g+HCkCzzjaIyWkVBCEkceqtlVx+LogCCMbEXivMhw7NQfOAZNk0zh4gVIZgWcTMD6v0DqbRRNto8wcvHJX+I9VIJd28CJlp6PSCQ6K1W6qjIHlhw5eVdbMXFBbBy8Iaue0ba8jvoKqAbtxvcY4Y3ZI4FXPI+wrAzkQN+dg/vW1jxuFx4rA2zHMg4KRIvDMAw/5vAVBGCzOuvEsPnbnx4a6G4IgDAAi8F5lOKnacWUH8hW49qxrYwcvwMqEaDr4TMyrJFeL0VfaRpkEKVEClLLKUdDJgDkO0ayEDl+tHPMjB8/CT80BzOlagVcv4Um9EE2/KkTTZN5sdpt7nIPXiKYdFGoDORA3ws6IkUAH5KJ5kjIHb8ewGGECTwqdC4KwC3hm8zND3QVBEAYAEXivMpxUYpKtLTCpA3JWDiKBpdMOnq+w8ZmQVzV18LS2UUZgVTrBCgsqOCoRRMb90l4osmrkmNKgbLCc2KEDcP3aEM16A9uuelk0qwReVyV0F1vclh1y8NwdFHg7cqxGmMF9PQdPBvw7hoqyuVb8ESLwJMmKIAiDiBdIyR1BGE2IwHuVkXbwOgqKnAfO3+5CR0lOPnTivowfG9Zb04HCIaAlB1TNwUM7WQfPyeMrCyelhzojAaajJCx2lVjSBHGIZkbgVYVoaq3ZXszWwAOoVNXB295VqUmy0uWFAm9MrnGIZk8ujmq4pmfMsVSdFkp+ifmr5ve5LfPD21np5NnNz2YcvMH+UV7dvnpU//CPFAdPyiQIgjCYDORDSUEQhp5BFXhKqTOUUi8opZYppb5UZ/3ZSqlFSqmnlFKPK6VOHMz+CNk5eM/NDF/rBx+DyCF4/QFT+dn7XxsuD2BKs6JgB/EcvHSIpmWn5uDZOXxtMy4l1OI6dRXj4GXFTqA0AQosOzNwzWmVEXi/eeBl3v2rh2rOJf1zdPfzGzji/93Jhu3ZCeLdUQKYFrelYYhmvRp7ht38HQuBfHrT0w3X/fCxH/Lpf3yaRZsW9amttMD6xN2f2GUO3ubuzZx5w5n8+PEfD9oxhooRl0VT5uAJgjCIiMAThNHFoAk8pZQN/AI4EzgEeK9S6pCqze4BjtBaHwl8FPjNYPVHCHFTYY1L91RsawZvwWMUn3sOAGXbqCgRig4Un3z9XjSv3ID2q5KsYKFMFkvj4GGxt+fxw42bOcoaw/va2sN2ohBNXSVG1ruwJqiEDp6fdvBUJkTzb0+tCUsqVFFJ1ZpbuDIsZbCpIyvWuipdKBRNTlPDH7COSkfd5Xk7j7+DHt4j6x8B6guwV9peCY9brn/catICr8lpIghSc/AGccBv6u09uObBQTvGUGGSrIwUd1Lm4AmCMJjsyBx1QRCGL4Pp4L0OWKa1Xq61LgN/BM5Ob6C17tBJusExMIDVoYW62FZWsBhHbv03/l/4wrJQuVA86AA23fwE469/GL8cFSuPx5cKOz0Hz87FYuiMzi6uHncME4ybFwm8ctVg+vKpcJa/tMbB2+/57fGAtuwFPLe2ra7AS/8cFZwwXNP3a0M0XcslZ+caujWNBJ5ruVR2QN95gUd7uT1+XY255c08sN5IizhHObssi6aO6xiOvj9Lc+1HylNrcx+JwBMEYTAYKd+FgiD0jcEUeDOAVan3q6NlGZRS71BKLQFuJXTxhEEkHaIJoKs0RrWD1/n86uz+KT3hq0jg6SBy8FJz4grjk9dRiKbfaHBqZefgnfy3l2MHr+SF/6o6IqOcWlZw6zsy3ZVuXNslZ+Uo+aW6hzdirBrXcqj0UYSl2di1MX5dT4CZZbaya9bVI31OlgqLwLvR/MfBzKJprpdxHEcTIy5Ec5AcvNXtq/n1ol9LfT1BeJUjDp4gjC4Gs4pzvZFxzShCa30jcKNS6iTgm8CpNQ0pdQFwAcC0adOYP3/+wPZ0AOjo6BiW/armhfVZAaSqPpGnFi0iGD+eKYDv25Q2J+InQGFpjYrq2y3fmDhfHd0VipVEbLy8rpV9otfbWjewZP582rs66t5xXd0lSlW/LdvbtzN//nw6ylEHVa2QKWk/vuarXgkH6p1dHdCUbLN281qUr9i8YTOd3Z2Zz2hpcSnryuuY5Eyq7RQQVAK8SOD98+83UM7X366ateW18ev1G9fX3Bdbtm0BYNHTi+h6oavX9pZvXR6/LnYX8fFp89rCc1i2lPkbs+0P1L24rLgsfn3T3Tcx3hnfw9Yji+6ucG7moucW0fRKUy9bDz0dneHf2ra2bQP6PfPttd9mfWU9UzZOYaIzccDahZHznSiMfuRe7J3V5fBhroUl12oQkXtR2FUMpsBbDeyVer8nsLbBtmit71dK7aeUmqK13ly17nLgcoBjjjlGz507dxC6u3PMnz+f4divakrPrYenFsbvizkYm0pQOefoo8ntvTcvXjwPAgcLFZcu73LytHjFOExzY1FBIXzdMm4cquLGcZP7HHQErPgDABPGFJg7dy43vVL/dnNbWrDbskqzaUwTc+fOZWNbEf5xD+bZwOlTj+HOjY8D4FmK7skH0lHymH2IhsXPYDlZVyzfkqe5s5lZe81i0bJFmc/o01d/GoAfnvRD2FTbrzFNzVTCaWi8vvPv8ObL6va/mhe2vAA3h68nTZ5Uc1/85rbfwCY4+qijmTN1Trz89de9noMnH8xv3/zbzPaPPvYoPB++njZhGpu7NzN9ynSeeeUZZu07i7mHZdsfqHvRWePAhvD1a458DYdOOXSn2xwu/PRvP4Xt8JoDXsPcA+YOdXd65Xt//R50wJiWMQP6PfPN678JFTj++OPZfczuA9YujJzvRGH0I/di7yzatAjWgW3Zcq0GEbkXhV3FYIZoPgbsr5TaRymVA84D/i+9gVLqNSqaDKOUOgrIAa2D2KdXPW5ViOaT+1UZrZaFNXYsAH7FQXtJSFi3mweSME0vHZLZthZPp26n/LjkdRTqt749dE3O2pLLHLKjag5e28RCHHpYCYyDF67/wIxTuHflak4pepQ1fPLaJ/jCXxbFc6paO7PlFLoqXWGIpp1rGIKytbS17nJHpUI0nVzdbeqRLsper0B7PLetKiyuvdLOo+sfrdn+mueviV8fPe3ocA6ePfhZNIteci3Xd64ftOMMBSbJykgJ0RysOXhBVP9EQjQF4dWNmYPnWIP53F8QhF3FoAk8rbUHXAj8HVgMXK+1fk4p9Qml1Ceizd4FPKuUeoow4+a5WkYag0pbd1ZwXHlaeAtYzWHtO2XbqHweHIfAs9CpMgFdTmjXOT786YLjKOPG63zlsq2YCqOcfnj8UkVz8Ew8qFM18a/DUpkB5rr9JsZzjiqxwAz/tYApfsAUrSin4ktbOyLxVpWMpdvrDpOsWDnKfrnuQHZN+5qaZRDOwTMhmrhj6m5Tj/R8wnpz5My59SVBSnr/ZqcZX/thHTxr8OvgmRITAFtKWwbtOEPJSBF4/bln+oP5exgp2UQFQRgcjMDr69xwQRCGN4NaB09rfZvW+gCt9X5a629Hyy7VWl8avf6+1vpQrfWRWuvjtdajLx/7MOPg6Ymz1uKOxbcV9pQpBF3RXDDLRimF3dISCbxEEHW6ocC76tTfMr7ZpZQSeOu7NH76dho3g1ve8Rw3+8dRKYVtB1GYpaWzt12XZREEyXFUkNTB84xYioSb+enJKTuTRXP99lCMWFFA6Zwg3LLLCx28glNAozOixbCxe2PNMgBH2cTD/1xz3W3qkR6E1xuQGxfm2w9/u1eBke6vrWy01mGSlV1QB6/oJw7eUAiA7aXtdT+vgcA4viNG4EVCf6Cff5kMqSPlOgiCMDiYCBcT3SAIwshG/pJfZRy4+9j49R3vvJ173nMPyklCMpQdOXpjx4alEVLCq9sJQzT3ad6TCU25TIhmOVDZLJrKwrZsOnWBro5wIpuORJpXlX+nQ2UdPKV1PKAte6akQFbg2ahMCYMNbWEYaMUK93tnJTynrkoXOSvHPuPDlC/LtiWJQwxdlVCAXn7a5Vzx5ivi5Y6yUw7ejgm8esLIiLKXtr/Eg6t7fqbR5SVJWJQKha+vfSxlYSlrUIVX2j0czGydG7s28sunflkjXk7844m895b3Dsoxjcs6UlKDD7aDJwJPEF7diIMnCKMLEXivYsYXxjO1eWpG4GGFX+5WczN+OSvETIim9jzGN7lkE6WqrINn2ViWYj2TmMJ2Wre1YUdhlhO88Hj5SDx2WhaBGWgqGxUkc9cqfjZE0440QLHLD8WX8sDqZol/OVjdFO1wALxbMRRG5aCMa7nsO35fAFa2rwzPISUmTB28I3Y7gtfu/tp4ua1MjwE3yrT48gPw0P/UvZ4GI+BMzbpq0stWta+qWZ+m2sELdEAQBNiWHb8fLNJtD6aQ/NIDX+JXT/+KxVsW16x7aftLg3LM+P4aIcJmsMokmDl4EqIpCK9uxMEThNGF/CULdR085boElQYCr1KJ684ZgmqBp2xspVijp2ApTenBX/DT1pW8fnuBQzqauH0VXLqmE4B2RRyi6Vk2tlbx08QkRDNcb0eicpwX9dPuIDfpIVrVP8lN/Cfdlo+jNeO7k8QpOTtHzs7OWUsPlBduWBhvB6EwA7CVwjcOntn+6rfCXV/v6XLGg3HXdus6X0EpKS/RKMHLTx7/CXe9chd/ffGvAJw560yUUgQ6iB08W9mDW+g8VdWkXrKYeDutmX31bH7+5M936Dgd5fqF5gcTk0BmxAi8YOAdPC/w2F4K3fWRch0EQRgcYgfPEgdPEEYDki5JgHRoXPTlrlyXwFOkSxduaA7rZOlKJZ7DFDehLHyddfBsS7FOTwZgj8e/B8Dpm6YS5t/UTIgSuGxTOu6DZ9lYgYqLbMchmnboyNlRf8b6FhCgnLYksYrSbHV9xgUBrpcMWJudZuyyj+3rWOBVD5QVKg5N+ef7/gnAp+74KH50BR5of5nXB17yB+N7YNf/8zGD8bydrx2QBwHB9lWQi4rJN5hTdeVzV2ben/2as3l8w+Ohg6cDbGVjW4Mr8Prq4JntLlt0GRfOubDfx6lX+H2wHSVzf1X8kSFsjMAeyDl4P1n4k/i1CDxBeHUjIZqCMLoQB0+gvCbJIhk7eLkcZsyXnz0O72iHlybMAMIQzVqyDl7r1b9n93NO5vhnnsls1abH4GORtwPGBwGWhs1K40UOnq8sVBAOwLXWoYNnFSnsfhMAVjTAbfGjfjqJ++O0LObxsRW22DZuSpg2OU1sff2b+d9L/Vg4VAsI13Jj0drkNNHkNGGj8BUsKBT49/V3cfmiy5Mditvjl2s61vCdR77D1htvwNu6NRYsOStX63x5RYKUNjYhcr2F3nV5XVjKyjh4lrIazo3zAo8L7ryA21++vcd2eyLdp1889QvWdayrvx09972t3MYFd17A0q1LezxO2jFMzz0cDGKBN0KEzWA4eI+seyR+PVKEriAIg4MReBKiKQijA/lLFiAt2OyUg1cJB9y5aS6V/XK4buRY+XXCDlEEqdtp4w9/BMCbXnwis92ksWMY31yg2VE4aJo9h00qwCTr9CwbdBiK6AUeFT/Actri/Z0oRHPMesWemzRKJX23mxKh6qSMjqZo/tyUtsb1xExduTSzH93CAUsVHVZ4zIxASYWAfuWBr7DtmmtZ/+X/Zt3Xvha3XTdEs9KNn5q72Fua+uljpgNw0p4nhYIuKpNgK7vhHD+AJzY8wYJ1C/iv+/+r7vq+UO0Wfe2hr/Vpu2qWb1vOgnUL+NTdn6q7PsmYmlwDk/hmMNBaxyGaI2HuWaCDWPwO5Bw8U2oDRo7QFQRhcDBz8KQOniCMDkTgCVkisadyOYKyCY8MgyrHt4RZNHU0Ly7nJLdPgEpl1awqnp5i/NS9eOPBe2ARYBFQCGy2E1AhcfCiRJgU/WIYommHiUambdG0//5utIZZd3Xzk9/4oHyUFQ7WtV+Ij+OmREezk2TAbBSiacoOmPPb+OMfc/r1r/CuW20KUVsZ0VHcFr90tnXykbsjJ27b9sTBs3O1AqzSRVoONXIUDQrF2/d7O3k7X9/BS7W/8JWtsdhqLbbWba8/VDtz3X79kgW9uUpGlDTKWGnWp0VG+loPtAirBJURVR4g/ZBgQAWeLQJPEIQQcfAEYXQhf8lChqAcfskr18VEF1rKx9M2E8ZEAipy8JrcJFb/EvX+JESz6geiS+fj10v2eCdYFkp7lDdZfOj2Ep7WmCG8b9kmYSbdlSJeEGDZYRjm52/w8W95hHJ7ctzZLEO52UQlX968BSclo9rWPxW/NiGT1eGCOjVwLi5eTOuvfxO/r0Shm51eZ7JDJZXd0ksG4Na4cfGAPGflasWJV8RP6V8zsG40wG4rtzE2F5a2sJUdt2db4Rw8M+C/+/kNvOtX/+TaR8Isoes6w3BK1YPY7o1qMdEojK83B8/0uXrepsFcr3T7aTE50KUM0vX9RkJoYjrMVwSeIPSMF3g8uEZK6vYX8z070LU2BUEYGkTgvQq587Mn8dsPHVN3nTt1KhAKPIPWPh42E1uiLJpR6YIm1+bfy5/hwvKnua3r4CREsyoLV0fkrP3VPxGneRwoG6UDNv9jHMcu9qiUA5MkE0/ZqGg+3v+79Sm6yj7K3Rb2KdpGpyaxnbJ2KZa7JTpuOK/q2GIpE6L54vokTNSIjY/+/aOZPgZeKTnfrmx4YCkSJhmxlhoQp38QrZYx8SA8Z+dqB+SVrowv1pvAK/tltnUGHPDV2wl00gdb2RnBt3pr2OelG9oB+OnCn4bb7URGtOof+kZ97M3B60081HPw0te60dy9HaWU+qxNWNJwJlOPcADn4KVdaxF4wmjh14t+zSfv/iT/XPPPoe7KiMJ8F46EsHVBEHpHBN6rkAOmjeWUg6fVLD94yWLsCROAMETTYDsaD5t9p0VF0qMB59fu+DFvv+t+bgmOB8CLHbysqGj9yxgASjpHU84Gy4HUj0i3lwg837IxY9jbnl3Fy5s7cQobw/ajZtMC74QHtmO5YcITpUxIaS4Tonl4KRnQN/rxSif4CIrFzLpiJPDSA2L8pB2VKgavbCcbollvDl7KyTJPTdNOUiZ7pfZ4amU7ZS+g7CUDcVMmwWxrR8lxvCArynYmI1q1OO0txDLN9tJ23vl/72Rx6+L4mjcK/THXK91++nP6wO0f6F/HeyEtZkaCsDHXR6EG9Ol6xsEbAU6mMPis7Vg74gf4qztWA7Cha8MQ92RkYb5/BzMzsyAIuw4ReAIzr/kde112aWZZ2sFraVIcttdkzjg8yqIZOXj7bnyZvds3xtsZB083GCwWydGcs2lbtIH2FYnI6fY9rNjBs/ArkQPm+qzY3ElT87ZwXSzwkjYLpQBLZeeGKSsXz5sD+MKWJITTL5eoh28aLXUQXPXubL8jQeakxVJKGFheVuD0mEWzag5eUu8v2S79AxvoAD/KGGorK+vgWXYsIN0oEcx1j6zkpW3J/jsl8Krm4DUSQ/VEx+0v386LW1/k6uevjvdrFC7am4M30GQE3ggQNuZauJbb6+Cru+yzZH1bj9sYJMmKkGZbcRtv/uub+d6j3xvqruwUJkmICJX+Yb4DGmVmFgRhZCECT6D5ta+l5eSTM8vSAs+yfKZOaMFyIrHQ4AfgbbkoFNKvPzjvJoeNZs3Vj7P+vqZ4ebHixwLPt+y4+eZCmY6ShxUlWTECLyhnb9sxWcMN7FymwGM+pT90qcS2rlonKjCyq9Re0/4VE8YBSQbPsKPJgFilsopuv/FG7JfDbJ71k6x0k15iwmLSA+zqH9hKNGnPtuwaBy+uIWclffvmw6n5gQMYomlKC1RTbyD1t2V/A+CgiQf1KtbM/rtM4Pkj08GrG/JbxQXXPM4ZP3uAstf7XL20az0SroMwuHR74ffG/FXzh7QfO4ujwm//ke5E7mrihF/VDyUFQRiRiMAT6pIO0bQsPwyrjMSCcfCq2TMIhU2jMWhR53C6OmpX+DqZg2fZmBrlTc3tFCs+2urGL06nVJ4Zbh4JMC+6e1sigTe9VXPJrzx0d23JA0NQLvGXhavj9yfmdw+XGzFj2VGB94QNTjhgyCSPTomEXJAVUTO+fW24/IXb64Zo6pRQrDcHb1tpW2YXz9T8w4q3s5WdyaLp2Ok+D0wijkAHGdetrVTfGdLUOngbu0Jnt+AUenXwjJAcEgdvgIVNoAPec/N7uOuVuwaszThpTx8E3gMvbgag3OBvNE2TkzxkkcGwYErFDHRSo12NOHg7RuzgyXUThFFBnwSeUmqMUuEEGqXUAUqptyulGo+ihRFP2sFTlgeWGxdBb+Tg3bfi9bStLKB1/YF8kRx2nYGn6yUJVFqsIlOCMFHI+LFdFCsBPl3MKBxMmbDcgV8J21+4f/hvSzfoylje9mjA7tvAX5kVXG0rk/IJupQdvJiwy1ikBD6B30CIpMP5UsJgnGrKbOdu2gZATmv8OiGambd+rcCrnnNWiZpQKJ7c+GTYb8vBsZyUg5f6U1ap+YQ7kXUx0EFm3lz6ye7D6x7msqcvA+qH9Bhn0tc+t718mzmBuuxqBy/O6okacIFX8kss2bKELz/w5QFr01x3x3L6/Hl6fRB4U5unxq/FwRPMg5aRkHioJ0zUgjy06B/me1xCNAVhdNBXB+9+oKCUmgHcA3wEuGqwOiUMPfa4cfFrS/lgO3ER9EYO3tSHV7Dmn5MaGkjd5FF1wjddjzhE81D7ZXZnKzrIUdFtdFU68VUXr505IyyCDmxYOAGALS3hPi1FzYW3Fjn1KSNssgJvw5Pj49cvrWrlW7cujt87kTCKu6x9dJXAmxydr59+st0gRBPAisomtAQBRa+UHTxXukkbhHFq6t/8geu/62EFmvWd6zPtBToqPp/6c3UtN5NFM0vyAezMj7VG15Q2MALjY3d+jJ8/9fN4u2rScwtNyvLe5uClnYOKzgqOgRx0mM+j2W0ecGFj+rkz5SkatZmz6oT8NqDi956MxQj4wRC6wsjD/B02CsUeKRgHTwRe/2hUI1YQhJFJXwWe0lp3Ae8E/ldr/Q7gkMHrljDUjD3lTfFrZVXCEE0z2K8z2M6lBE89B09rKOFy9J7jata5viYXZX9UFqABbbGee9g4+fNM3h7w+hueIqjKwtgdGXP5Cpy8OJl3pnXVvLOUo7V8TbZmXlt3eC5BDw5euYcyCavaV7Fs05LsuUbz4aZ7HhrN5q7NycpKV1xXDxKxYV99IwBOnd9WKxasKYFnu5k6eBnHJnW+Rb9YI442d29me2k7gQ7427K/NRzcBzrAqvqKqDdoqucqmTbNvB5oXAfPtJnJHhotO3y3w2va2Vligec0D3iSld5q/vWXNR1reNvf3gaEIZoa3adMmpU+OHgajaUsHMsZEclmhMHFPKgZ6cLIzMETodI/TKSAOHiCMDros8BTSh0PnA/cGi1zetheGOHkZs2KX1uqDHYelXLwqgeZU7q3xa/rRpFp+JfjD6SlTs4P14PdTLFwpdEalE5uzc/d6LPfnU8yo2NTZr9iNE0wVzU21VUOXnqs7VYNXjZur945qHHwzM9dOtxSV8p0L1rEF+//Yo0oC6JkNDOic0rPxwrK3XhKcUhUusGEQ6noetp1flsVxsFL+uVaLo5y4h/jbHmE7AfwnUe+k3n/xuvfyIl/PJFbl9/K1x76Gif84YS6T+211jWlDeqJuXoDKTNIXNuxNnUe9UWPEVz1BN4x08J6jQMp8EzbTU7TgDtXrcXWAW1v4YaF8WtT1qAvYZpeXx08LFzLFQdvGLK4dTH/cvO/0FUV1j1YjBZBJA7ejhGHaI6S+0AQXu30VeD9J/Bl4Eat9XNKqX2BewetV8KwIL9HGAOpdAWcHJh5XjpAV7IDwoKXhNel69TFyzTsPbmFyupVNetyHoyLHIfQwVNYKRdwSljmjrZcc2a/zpwd7585ViSIZm4+gLduyw50c1XhlKrabdQB1eMCOzq19IBhyx0LWfEv5zLh2VU4VeNt7YTXaZoXbv/Dx38YC+JiOZxfeEZnF2eMP6jGOaluCxo4eFbo4JmnrpkBvco2ctNLN9U2SiK+ur1urnjmipr1gQ4ahmim6akgent0vj1hBhTpgYW51mNzY+M+DhSZEM0Bdq7OuemcAW0vfW1NHca+CLy+JFkxIZquLQJvOLJkyxIWb1nM+q71vW88AOzMfN3hhCkNIwKvf6RDNAey3qYgCENDnwSe1vo+rfXbtdbfj5KtbNZaf2aQ+yYMMTM/8Vr2eYcPfhnsXMrB89Hd2QF3Lj1AjH4bnN13TxYFit3cgFUXfLzmOK4HTvSDoiIHz9yYu2/RTIgeYBedfGa/Yi4UH9UCrzkSLj/c/gLf3boqk9wjVzUHcEZXVchoUDsH739+ZSafJ/uW1oRhl7kNW+s4eGHvxwXJgMk4O12VMItoc6DJoWoy1ll1xljJ3Lusg5eeg+enjqWiD8DUOWv0Y72mY038ektxS836gGCHHLy0GEsnbKjn4G3uTsJX6zl443LjatrcWTIhmgMobNKhTQM1By89v9EIvL48YfeCfgg8cfCGhEufvpTZV89uKKzMw5tdldVytAzqh0qodnvdHPP7Y7jnlXuG5Pg7S6ZUj7h4gjDi6WsWzeuUUuOUUmOA54EXlFJfGNyuCUONPaaZwoQyBB7YubhMAn5AUMwWn0sLJ+PgTXzf+5INAtDl+oNI1wc7+k02c/CsKETzksuSH5qxTnbQ3J0Pt6kWeG1j9gXgYCt0C9MmVF53UtjjT2i/Ca/9IPburBJ4unYOninD4GV+9CJBGugagWfm4I1PDbKNW9ZV7gSgWQe4yqoZWNdz8FQ8p64qRNNKQjQrPTh41QXLDavaEze1YYgmVqZYevUPf6Brw3VLXtJWut16/bhpWeIupgXSQDp4tyy/hVVtybk+vfFpAJrcgQ3RTF+bgZqDl762vYVo+oFPfurNOGMX9T1E0wg8mYO3y7n06UuBxhlMzd/Arkp6MlocvKGq47a6fTUlv8T/Pvm/Q3L8nSV93UTgCcLIp68hmodorduAc4DbgL2BD/S4hzDysRyoRANrOxeXSdCBj04LPK3Jp5OsROOE3KyZTPv616JNFJr6lTVCB48wOYgKwzktrditKrzysKnZcgTtTeEPUq6S3W5b02sy751C8mNVsDbjjn8SZXejgwL5atER+HVDTAG8lAAxzooVJIlRntgv3C9ww+s0PhUmt70Uxpl2eZHACzTd3R6lqqfzdefgGcGms0lWHJWUSfAzc/B0po9pkZB2A9Z1rotfF73qavFJiObb9ntb0nKVmPMDPzMwDHSQrTOXui/qhUxNLExM9qXWwWtxwzDhLm/H5iH5gc+XH/hypvTE1c9fDQy8g5c+P4Ui0AHff/T7rGxbOSDt9xaiua5zHbnJD1GY/tc+hWiaLKni4A0tjQSceeCRfmAymDR6EDTSGKpskObv0rL6OqwaXqQfsEmiFUEY+fT1m8iN6t6dA9ykta5AndzowujCssEM/Htw8A7crbluFk3lOKioSPj2/HvQe59U9zCxg6cIRZ5WNNsWv/hV1Xy5qnl/ngVlp9bBqx6rumOTDeyqMcxEt+pPQPsE5fp/FlmBF8TtGYH36zMs1Gtm0ZkL/zTSctaEKnZGCROag4CX1rXTUcoKq+r+AbEjt2xjZ3JOVXPwKpmQvOyfZjrMr7OStJEO0Sz69QWepSy+fvzX+dfD/hWoHTR52sssu2flPRmxYATlzHEz6w4aqsVhul3YeQfPzAGsl/xkwEM00w4eilXtq/j94t/zmX8MTDS7cfAaDVzjDJ52qU8Onh/4EqI5DGgUgrmrHbzREqJpvmd2tSMZ1yRVdTKJjQDSD6iGygUVBGHg6KvAuwxYAYwB7ldKzQTaBqtTwjDBSiVKrXbwUnPwphSszBw887tqxB3Axj89gPbq/2jkPHCDSN8p8Lpt3n1frWOjvOxAaO/Nh9cXeOVqV07FEictoKa02LiRUHu/3xx3vtxR/wfa0z6PFPKscezEwdOhAwlQdGFJfisddbLeVfwKz63dTrsReFrjavDJdt6EaE7bovndjzymbdWgogF9ysFzLCeZg1fuxK8Tomn6mB7ovNL2St1zqwQV/rjkj3xjwTfiZSaNvmu57NGyBwBLN7TVPOlNC8iL5l+UGSgYYZuzc72WWEi3awTHzs7BayuHX1N5O0/RKzL76tnxuoJTINDBgCVjqBawZsC8ubi53uZ9In1te5tTmUlS09cyCUiSlaHCfLaNBNyunoM3WsLyzHnsaoEXO3hqZDp46e9BcfAEYeTT1yQrl2itZ2itz9IhrwBvHOS+CUNNbkzy2nbjQufVDt5P3nUYH5iTJFQJKuFtZbWMzQjB6sybBtfTTFpjYecDVFTx/NRHa0WSVbW/6zfXFXi6kvywPxfMpBS4ceKT9Hy5vQvj0L7HMy+v5ItRN/32DvxSfYHnBz7/Nn0aZ+w1AyLHy9KhAwmhm7jNa8skSvnq4Z8K1wVl3nLJg7zUug2AvHZpwkepbIij7Yfi7n8v8ylU4ITnNcoKD6BTf64KhW3Z+JVu+M4ezNp4d6qnjQc26bT7aWxl8+1Hvs1flv4laUUHcbIQM6fsfb9ZwGfvTabf+tqvdfXSAi8anDbZTXUHsul96yVZGeOG9+COCjwTGpuzczVhnrPGzQJgQ9eGHWq7msxTb5W4oqYPO0Imi6bdc5KV7HVvfA+0dreyvnN97NAa8SsMDY0EnhHd4uD1j3plV3YF5u9vpDp46e+V0SL2DVrrzDxsQXg10NckK+OVUj9RSj0e/f9jQjdPGM3kWpLXTh5l5hYEPkFKuLW8sowjpyUlDLYsCW8Ne8J4gq5kUB2U6z+Jdn1wihbNU0s4hR5+lNuyA3EXl7ITFjrPUEoGut3kCQJFYIcCJe3gXf7i79DGuYjmGgbtYUhfYWJtX9M/epYXZsO0gsTB8xwIVCj6DCdPDeu4FSvhIK2oy5y8KED/bjzTtoeD6rR7Ygew/9qkgUBBLphe0xeNxrVc/HLYjz22P0FLuYsZ7Rszhc6rSWe1TFPvqbMRAJAetGjuXZ3U9fMCr2ZgmBYa5twmFiZSDso81/pczTHqvd5S3MKE/ASa3HDeZXdl5x28NKfNPI2DJx8MwPJty3eo7WrST7211gMimupl0TTXqea6pwRmTyGac6+fy2l/OS3+fMfnx8fXSdh1mM9vuIRojpYkK/XKruwKzOc4UgVeJovmKHPw/rDkD5x141k8u/nZoe6KIOwy+hpLcAXQDvxL9H8bcOVgdUoYJmQcvFzs4Gk/oLw8GRSv/PBH2PqHP8TvOzcUwl3GjcsIPBo6eNAdFMBWOE21PyzdH/5oeNzO7CDU0TZlt1bg7b7oMbyihQ7ALysCbaGrBN5/tW6lRWscMwiIfpz9znCO2uRDOjjwq0fFbZ7T3kEl5YzZUVkBKwDX13gWaKVCgZcaJ+WiH/vOSjjY9yyP45eEA7t33LqFz97oM//lJK22HcDWscn+syecwxj/kLrXLV0mYZs7jR8/8HN+c88PUKafdcb4ZvuPHvbRzPIglVhmwdoFzL56Nq3F1ti5i9P+V2Xo9LVfMzCsNwfPJFM575bzsvsH9R28VW2r2Hvc3jQ5kcDrg4OnteavS/+aGRCb/SyszLEcy2FyYTIA28v1Hbb+OhppgVX0i33q88af/oyuxx5ruD4Topmag1cJKhz+u8P57TO/jddns5D2PcnKuNy4nXIZhZ2j0YMA87e6q0I000lWRrLYG6o5eOZ7Z1SEaI4yB++JjU8A2czRgjDa6es30X5a64u11suj/78B7DuYHROGAfmUg2e7GQdvy++uyWyq8lmHBEKBZ41NyhCUXl5R9zCuF4qiDYW9cZqyP8o/OvEN2HPmAFD9m2PbYVjkmGLtQLy71WX1g5MY97d2/JJCRyUWTIjm+9pCpy6vosGTX+bO59bz2POrAbAcjWV5dB3oUJkyJsx6mU6iEaRCNL2wHwCBlXXw8kbglcMff8/yMbXVx3Zojl+iuePey5NzCrIGXFNuEn4sNJIVLW5LGKIZDWKK5Ni7fWN4juPqh2FC+CPuWA6fPfqzmeV3L94Uv776uTDL5HObn0scPCtx8NJUZ9GEKoFn5uBF88fSlFevprAiKeKcHlRs7N7ItOZpcTmIvoile1bew7wF8/jFU79IjhENjjU6075pF+CfL23MNlQpcsWzV3D47w7nN8/8ptfjxv2vKvNgBu491cRrvewyXvnABxuuz5RJSM3Be3n7ywBc/8L1yfFT51fuR5KV8fnxtJVevQ7e5u7NXP3c1UMWojhcHLz0+Y/kkF1z3Xa1wIsdPGtkOni+9uNIh9Hm4Jl7YaDK1wjCSKCvAq9bKXWieaOUOgEYuMrDwvAkl7KS7Hzs4AWlEt6GDSg3lSfSr/1BULkckz/yYdy99gJg3Ze/XLNNQDiHztIBXtNkcmOzE+run3YcubxxDqsPoCg7sFtX7cDMzmk61oZOoi4qiH5zjYNnfoLHmdvYr3DBNQv5+2PhwNlyAyh1sJtyKHYFOGgqKeXlRb8Tjq9xPfCiBk2I5rStmsV/3APv8WcA6IpCND0VxALPcNDkOfFrx9cZB7AcgJlOZVLFnDHrDGaNnxU6eNFT96CSDMhaJt4XnneVGHtxQzubO7vjUL8sybb3LQ0FT6ADrOgrIhEp2TbbK+389tnERZpUmFQzB29cp+bNX7qZ6a3ZfV869TRmfy4MBHAttybhihFgTU5TnwTe1tJWIDvnzYjN6rmCtrLj9v/8eKqMwbK74dvT+OnCnwLw++d/3+txDdWZ58wcPCedrCjFQyvvr7v8jhV3xOeQFsvpOXgmWc6eY/dMjp/OgtfHJCu2shmfG097pf1Vk2hl9tWz+dFjP4rf//eD/82PHv8RS7cu3aX96DXJinHwGoRVDzTpv7+dqTs51AzVHLzR4OAZgTdas2hafR7yCsLIp693+yeAXyilViilVgA/Bz4+aL0ShgcNHDx/6zYAWk49JV6tqwTeXpeFRXyV6zLhPe9peIjuvI3jg60D9jzktbgf/V1mfSVoIZ8z2Tuz+96sj2dfPZbpXeGKm46t/3ROe2BFDp7ta86YdUa8bpyKygZEtaYKUaZO29VQbse3FFagsas0ZDnKaOkEkPOrHLwADloV7tBx5wMAbOwI58pVrABlZfv5z5cS96zawfvHsi0EQfbgJ8w4ITy25cTu3kmbkhDZQjQePHTKoQCMz48H4LSf3s9fFr6Co8LO/ub0lDulUp+fCn/c4xDNP7wP+9Ffh6uqQjS/9fC3mL9qPgDTx0wnb+drBN6xL2jGbmjnrY8FHD/9eOrhWm5NwhUzlyVn5eoPcquyqprjmvODZHCstSZIhS2aLKThSaXOadk/AJhsh6Ghr9/j9XX7W4/0U+8J+QmxC9JI4P3H3z9Vs/8n7/4kX7jvC3zxgS9mzgkSBy/QQd0wtPT1q/RB4JkkOnuNCx/AfOvhbzXc9pblt7C+c33D9SMNUwsREjHTUenY8Qaf/iNcMics4tlPBsvBu/q5q/ndc7/rfcOI9L3UVScT8EjBJFMaKoE3UufgeYFHwQ4fioqDJwgjn75m0Xxaa30EcDhwuNZ6DvCmQe2ZMPSk5+AVxscOnr81dErc6Xsk6z0PVSjEb62xiftnFWrDNwFy4yq0F1pwKw5uYGG7Lurgt/Cat6VC5nQTYwrhAFn72S/nLqtA++RD8cvh8pW7Kf5xePi64qdu7UpYwk+rWqE2gWhQ55dx7UTgWY6Gzla0bWMFAbmqgVtFJyGfTh0HL57SpgMc5XLzopUoAoqWrimEm85IagfZEM9AWcl8qkj5mYG+oxy8yAUY72+J9zEC74LZF9DkNHHQxIOSBlXijB07/Vi+/4bvh4utZBCpUmLPCnx44Vas1WaeWPY6PLnxyfh1KDh9KqkBq6/92JFsKYynJZ24J4VruzUJV8yTcMdyaksZ3Ptd+NZu0L01OVY0KEkLKjN49rWfeSrtWE4cSuWMfT7lXoXnd1B+ChDOHfzu7Yv5+k29T85PC6y9x+0dO3iWsnil7RWuXXxtZvvq7K8r2lbw4JoHAVjdHoYK13PwAh3E16pRUflKH0I0zTU+ZHI4x/OGF2+oWzJie2k7X37gywNWz29nqAQVfvPMb3Y4hLBeGKYZ1HaUd0Lg3fhx2LK89ilUDxgh0FuZhB0VeD96/Ef88PEf9nn79N9fp9fZw5bDG1Prc1fPIzN/iyPZweut1uZIJS5hIQ5ehvNuOY8P3PaBoe6GMEj0627XWrdprc1kjYsGoT/CcMJJBBuF8SkHLxxUO1N3i1frIMBOiTplJ08xVS4r8KZ+4fMA5Fp8ylYeq21fLK3DfZTCHZ92PCyaCklbdkuyzlc2++45GR2JubIL9xwZvg6CVEkBH2zbR1thGYKw2XCwPN44eGhmTSxgmyeXloa21WDbWIGuFXhBIvDqOXhxGGbg4+kKucn3U8itpsuyagSemxYeflbg+coi0OBYCiM+zI+wbdn4KcGlI/XaFOkrx3I4bMph2dC7lMADOGvfs5g9ZTbOmFQmSSvZ3gxWLHP+PWTodCyHIPDx/nR+2D9lg9a85bEo66NtNaw55ygnK/DICryaJ8r3fS/8t21dvCh28FLnZ5ZprWuSrJjtnJYX+NVTvyLaMNwv6ouvfS67bzm/W1C/fmCa6jl4acH11hvfyvce/R4PrXmIW5ffCtQKvHSNQtNW+nqls2iahBhZgdfPEE0d1jmc1jwt0+9qTL+GQ6bNm1+6mf954n+4fFE4b7Wt3MbGro297JVQz9UxiXwu/MeFO9Gz6A++HzUVzf3Xa4hmL0lWOiudAxJemxF4lZEv8Hb1nErzOaYjCEYSnvYoRL/5oy1E09wL4uBlea71OZ7a9NRQd0MYJHbmcYb8pYx2qgQeALaNty1y8HZPat9p30M1N6X2TX7kVJWDZ08IMyoGFUW3lSfnV0KnyDET5XJsO2ICm8fk2I2tjHnke3F9vPRN959nHIzVlPSxYidOmhdUiaioWN14E3kUndvuKnGAVm/eho0J5QiXBbaLFQS41clFqh08I/AiBy8WeK8siPc5fst8Dl5oY1VNws+lhECw/bDMHDxfWfiBJuck5xMLPGXjpQYxQdSsEXiWsrCUxZItS+JtFEFNyKBVHVKkvNT20TbJUWiEa7kEgYcXXbxmt5kjl2t23xZtYFsNnwzblp0VeEEvDp6huC1++eOFP47bMqQdvPSxHeVkBmIvbXspehVezwq1Aqs3zCA7Z+XwA7/uoPsTd3+CLz3wJQCa/Ox1by22xq/NtUjPJzQCz9d+PGDJCLx0eYoGDt6WYuL0+tpHKUWzk5Q4qXe+Zm7alKYpddvclZjP01yX8245j1P+fEpPu2SoN3DNO/UjDPqFcW38vgst4+A1EnB9rYN33HXH8el/fLrPx21Ees7uaBB4u9qFGslz8LTWmRDN/nzv7Si7MpGPeSDWU8KrVxsjeZ6t0Dd25ptodFRFFRqTFnj5MBumsm28TeGcsfyBB2I1N2NPnAieT27mzHhzlRJ4VlWGTXfGDAACX9Fl58n7lcjBi/YpTOD4cw/nA6d9h++4v8V+5V6ap0aDnJSD9O+nHICVT/pYdhOBl3OyiURyroflK+Y+o0OXJgp30wEEUcYUFw/biIzod8B3c9i6NkQz0EnZBdeHclWIZkylmx/81uPjt/l84e5FnPiQXZNlrYlU8g/fyuyvtKZY8XFtC/MnlxY+gUoklx/tmCuF52Yrm0fWPUKX18U9r0SlGKocPACLbH8yIZrRhYi/KJTG63wN9QhDNINY4I3LjcsYftqy687tsJSFrezsHLy0g6ec7MA8+iw08Jmn/4f/eeJ/sv1ICbd0woWMwEuFaAKUguwgupJy8PqK2TbvhPMQ0+5hNVprJqlsuGq5KrQV4PENj8fLjLDPhGhmwjJTc/AalEl4dP2jSR+iJCvpp9r1BnYmDHdSYVLdNnclRuSa+8GkPa/0UVjVOz9zXhPyE3a8Y6r/Dp65/3bWwQN4aM1DfT5uI0abgzdUWTRHokuU/u6CwRd4z7c+z2uvfW2/shTvDHGI5ggU34NF+m98JJdFERrT492ulGpXSrXV+b8d2KOnfYVRgFuoea1cF3/TZpTrkttzT8aedipWczPa9zNz8tICL3/ggZlmm448gvyECtOObKNk5SiYH0bj4DVPhO7QaTAhlE2TwwGc9rKD5YyD5yg8c0cHWdGSd5NB1PsOOBcikbPy3sm88JewkHgOH8tMxo7EVGDnsLTGrfr+M+NnxwfX01SiJC4mRNPMwdMaZm2EU55O+l2q0gxNKfFiV2XRtHVAd7lK4JEIPCCWh4EyojMRgl98bZis46XtkUOlAtq7A6566OX4GI0cPLei+fbXX2HrsmbsdKkGXT+JgGu5BASYsxmfH093PjXYsa26DopxGmvm4JGUaMgMOKKi55tsm3u3Ps9vnvkNm7qSRDXmurzu2tfxq6fD0MuSX6oJ0UwnQ4gFgik+rWsdvM3dm7nwngsbZls07RfsQlyrDmqzmUI4oJpEc2ZZeqBvrkW6fEEmRLPeHLxMFs36z9/SBeMDHcSDUXMt6n0+JjSzURKSkl/ie49+b5eEcJrPtlrQrelY06f96w1cTVs77FBqnQi7fiSnMA8iGmXJHMpC52bwd+3ia/nHyn/skuMPFCZBzFAlWRmJg2Uj8OIQzUEWeGaO8f2r62cSHmjMd/BIFN+9EeiAtR1r+71f2kE964azBrJLwjChR4GntR6rtR5X5/+xWuuRGWgu9J20gxdhSiO4e+8dvrYddBCESVbS8+5Sr/P77suYE+MqG1iFAvv+6hvYH/0pZcuhEGWwjEVh82ToakUR8DrrhfB4Y8IfHL87++OpCklYaNlJHDy/khUhtpsMvI6YNDt28Lo2Je5ijgqWGYxHvwOeE7omuaoBs94azd/ywzp4lWoHr4ffke6q3067lAzwnKokK5YO6Kr4uLZK2oz+NQP+SvSjZfLKmHmEtmVz/sHhfLhYCCif1g6feTc/T9kzE8+rBV64f0sxdCjXPz4hdToBjcI0w7lyQdyfCfkJZPLiWKqug2cru9bB6ynJSvRAoJT6sU4nAAl0QMWvZEJQNDpOemLaTE+4X7hhYfiDZ4STcfACPz7fK5+9kvtW38c/1/yz7vkbcZSzc1SCStzneqGaXuAxoTX5UX7nH8/KiFRzLdLnkHbwzICl0Ry8Rlk009cgLaK/etxX434ZHl33KOs718cCqCYJybXvgZv/g5uW3cS1i69N5jEOImaAZs7bCNOV7Ssb7pOm3mdhBNYOz2NbPj953Y+BsTmX3hy8oRR433v0e/zHvf+xS44/EGid/J0PlYO3K8IbBxIv8LjxxRsBaIqyBw/2OZjvtb467zuLiaIYbdlBIcyW++a/vpnl25b3vnGK9PdKXx+QCSML8auFxti1xalxQ2FjjQkzbCrbAs8LRZ6TEgpVIZJ7/vx/aTnlFJqOOipcMOd88se8n6P3n0aTSXdvQjSbJkHXFh45LxXm6dZ3JNIOXlrgeZ3VAi/5sdeeFzt4hsBTuKo2RNOLrkGuyjnMbYsyMEZJVipVSVbiY9UZYwRVgsoqJ6ESdqAzAu9E9QyH6mUZB8/MIzBPW58o5PnN+HGxmHJS4ShKKVzLpeSZ8CE/duD+809PxtsB6CjsVNlJEfe4X+aF0qCCeNs0jgqzaJoageNy47JZS1X9kEdbKyxlZUIZfe1nk6yk94sGBcWUwFvbmYilSlBhU3cilgzpkJRQUKaa1D7//eB/J22YAvJ+kZaDvkp+6i2xg9VozlYjB6+uaxRUGNudCPtvz3uZBWuT+ZpmcJoReFaS4c6sT7fdlzl4JS/rEqavMYDnlSC6H//1zn/lnTe9Mx4IpMUhAC/eCQuv6vE8B5rqQfRuzWGiJxOq2Rv1+mja7K50Z0R23zuVCmfsxzUw9/vOhGgO5IB1NIRopj/fXT0Hb6QKvKc2PsW3H/k2kPymDHZNTPO99mzrs7tkLp65t0dbdlCApzc9DcCybcv6tV/N97kw6hCBJzSmTjiDcfDieXW2jQ4CtO8nc+hIhVtGWIUCe/3i58y6LpsqnlyepmiAE7t+zZOhewtTVRLyZTn1B6zp0gxpgVfuyPY9U0Dd82IHL15UtMjhJSGa0e4lKzzPXOp3wQo0jimYHpgyCVGIpgq3bYnG5YFX+ydmVSWAUaVkMOUEWYF4pvUY/5f/WujgVYWZmAnxn9x9Kv8zaQK+ShK/QBIClrNzdMcD+wDzZ3/bM2FdM2XkWxCF4UYOnp06ZxUbmzpsI6gtlt7ldeHrAD8SoGNzY+Nw0fDckvptaTGX0zaWyiZgMRkezXl4lS7YFIVGRoOPcur+rJ53Vy+zYrq2l2M5NS7XExufIE6yEvWlvdyOUgG5yQ/Gg5JGg2rT/5ydy8zBq0clqDBue/YeTYcPGRGX/hGuWyYh9QS83A8HzxSWN8eMBd4dX4LvJKHW7ZX2eODa21ywXRH+ZMSQubYmQczm7s192r/eAM8MZjd2b+RNf35T/8VN+ilOPwb3xvFtWAevD2USBnIgPhqSrKTDXYcqi+aODpzveuWuhtEBg0k6udOuCtFMP7hKl9oZLMy9PRoF3thcmL28vyHy6Yd9wuhEBJ7QL4Jt2zPvle2EgsnzMqIuPQevJ7Tr4poBczwHbxIUt0MqJMyqngRnlqdCNCsO8Ry8SnuyjTttMs27pX74fb/GwfPLFpMKpBy86Ol6FAaZFnhu6rcvcfDCAx8cFTj/yF1hOyaBSxo7Enjj9wkFh5X6YraqkqyYMYprW/jdYRKbqU1T8bZu5aC3fYVjlqYKXRsHL+qrKXCes3IUKyZJjY+OHLyx+fAaPL2qPepX9prY6bmA8eAvQKkArWvd3bydj1L4J8dPi1XHC5I5Xl6qgHdQOwev2sHzVj8Gv3httLLWwWtyk/vAC7y6P3bp2l6hwKuaz6ms+ILHDl7q6bL5QWw0qE4cvDy+V+xx8O0FHuOzf0pUytljVT/ZNiIs0EE8eE0PaL3MHLz6fy9mEKpQBCTF5GOBt+wuAPRtX6zZp5EQ0V1b4jYHG9OX6gyTfXUB6g1cqwXU1uLWmm16ZAcFnrlfeg3R7GEgNpAD8WoHb7BdnIFi4YaF/OKpXwD1ExXtKsyxn9v83A5lKLxo/kV8/O6PD3S3emVbKhPxrsqimb4+RqAMJub7ciTOj+yNcbkwAV5/BZ44eKMfEXhCvwi6QlHS9VhU+Nq20L4fiaaUa2fXT8RRjXYToaDSIZoA7evjdY0cvEZlEoqbwu0P+M6ZvOa6/0FZMOWw8AswDNHMOlA6gBZH87qZE8K+RMvLkchI68tcRuDpyMELtxsXmUTG4dN1BJ7rKXw3x+5HhyP8QmrcXChPZ5/uGcmCqJ2cY1HedBqdy/+T3Zv3prQkLH1w1uOpMglG4EX7TMiH19G1XIp+MgcPHfa1s+xR8QPausOB0KT00+8glxF46SyaqACCbJjiz9/0c47Z/ZgwyUokvA5yJ2ZFopc4eEEpGbS6gaqZg6e1zogPL/3DHJ1LyUqu7YkzToy3rQTZ+XdGvKQdvIJdqHG5Qhcw6+ClfwTjeSMNBr4VHZVJ2L4ar9hGpbNxfbZKUMEtZ++NbRuTMMNyUKbL68qsN9fD1379OniZcM0GIZqpRBBa69h1c1WUndKEJj96ac0+jYSIXnY3sIscvCqRbYRdX+ep9RSiaei/g5cSEv0ImTT3e0MHzwi8YOcEXl+drPTgt6vSxf8t+78+7TfUfPiOD3Pp05eyfNvyzLUMeijpMhjED0KCMi9seWGXHntn2FpKHmjs6hBN2DVCvF5I+1DgBR5dflfvG/YDI5Br5kj3gjh4ox8ReELPnDoP3vvHhquV7YTizvezSVbc2hC+emQEXtrBA2hL5lU1DtFMnJsPd7Rx9IzjMuvt5kIsGN3m6IfE87JiFNCBotmF3cZE/TYhmtGfiJtye9IOXksxW+i8UDVWK22vvQ6FsqaSb0JFE9QKqd/Sw6zVfLj9maRfpt6epQCLoLQ7z61tY93F88JTSf0Fm2lxtg/az5GPnsa6tkvRJLJRQTwHL9DwSmsX5mvA9pPPIqiMzwq8+PTDEE1dFaJ58l4nx46bEQn7L7kr04br+UnpgGIq9DBQdR28dIbHjE427k2VoBibG8tuTbtR8SsZMXfynieH27cnRdELTh2BZzmgNasch7ZoUJ0eiGwvh4K80SAhdvDKnXgKvHJjoVDxK1hV45pxVQ/9N3RtAOD0madzzmvOia9vOkQzMygvJzdfxWvg4EX3ga99Aq+E1RHOOYsdvOjGT4e/msFeQwcvF83H3YUOnvlcjADfGYFXPcDsdzbQtIDqx8DYHDdd4D5NX+bgNSpI/f1Hv9/rNtUYIWgrm45KB/MWzOvTfkNFe7k9I17PvunsrMBrUCpksCgHZSbmwxqvSV3N/rOrQ0vTtTaHwsEb7MQnWmuWbw8TkAy1g/e1h77GF1d/cUA/4x393t1VyZuEoUMEntAzJ34WDjyz4WplW+hKNKhJh2j20cHzx41P9jFhnaaoemeS8KAvDt7H27fz6zOr6upYFkycFbZvShdsWArrnspspgPFGAe0Z5yu8J9ypJrSIZppB2+vzdBcgoDJYdej8YXfw3duoRIQ2DY+FoGlGF9J0rOPp5gZL5rISNdO/lQVUFkZZg1M18o2uzk+aL8ZP3JxcnYuTrICocBzozmDq7Z2hY4coPxELGsvG15psotOVtsiB682RNM4TJXo4jV1bc6WfKgkxca/MT9JaOLWCdEMdDZ80AgPFt9SN4umF3jYyqbZaaa93M7tL98er5s+JiyDUX7+b/GyglOgUl1yIxJQZ+2VzEErpp5yPt/6fHh+jUI0TS0pLDylMo5aNV7gZa4NQK6q2auevQqA02edzjdP+GbGwas3QGjtTESz18DBM4JIo3luwxNYW1+GrStigfdkIXRmK6lrm3bw4uOmjq/z/Qyx6t4G88bDDRcki7zuTKhYI0xfTMKbgXDwqpelB7x9YidDNBdtWlT38+xLofNGA/HfL/590k4fMxWa+7fJaWpYumG48OLWF3n9H17PrS/fmlme7veuHsxXgkocFr8z4W/Vzv1gk+5rPAevjw8FdpT0PT3YDt7flv2NLcUwjHyoBd4ty28BBvac65Xh6QsSojn6EYEn7BxmDh5UJVnp2xy84uyjsm1BMj+u0gXRoFvZjRy8ROBVR4iN3bM7bEsp2Pv4+G7X1/5LTTs6gGYngEox01YxCmfcu5T84Ll1fvuOLoYL7z0i3LGztsJETN4L0JaNowKUpZlYTgrE51WQWHEk4+iCmyi59lRf6jp4AWidI4h2zlk5SpEommRt43TrCQoqSn1f9FBW+GPr+knYpa6Mi0M9ISl4/pPcLwkdvGTbcVFqbSOQjDjIB0HGwXNSDt6jK5PCzEGlhK3sGoGXTgASC+Y/nQ9RMpFiVVISW9lMb5nOP1b9gwXrkoyUk5tC8V1OCTPXcmuKgTuWk+nDbk271Z3b1WjAHDt4KDzA68F5qQQVrKqnAPlK9h6/Y8UdQDjghnS2U53ppxEHW7uTp+Jlr/4AIj2walc6zHKq7Fjg/WBy6ECU6wg8jU4ERUpY/GhTmBiizyGaL4bz/Fj0p3jRB2//IG/40xt63dX0xcwRMwOlklci0AHz/jmvx/A4I5rST72rHYTW7lb6xQ4IPFPqwrXc7HVN0RcHry+hdH0NtzMhjY7l9Km4uqG3hEKDgSns/symZzLLhzJE0w98mt0w6c/OuCM7Mn9vZ0iH6u0qB686WmMweXHbi/HrwRaufaW/IbA3Lbspvuer2dEaf/1+kFWHXz39K2ZfPXvIQ1+F+ojAE3YMywivdGKVdJmEvgm88l771O5vBF65I6zFZ+dQVgMHr7m57nKAsXsWQSVtmjZ0vQQUgaLJ1uhKKUkZCRSjiW3r7tiNS+9p5w/OfrHT8sR+yRfq4SoMyfnjSb3/SdmVgCC6fo7tM6U7CUXNa4/MA7lItY0tJNezrTv5ccg4eOkkK4GLMXFcy40HPmNVO47WzCSc39hZ8kCF6/J+cozAG5d18KJsogFEZRKSEM2/HnpheF7GwVNgaU0hCDjslVQWzXLi4KXdKl0sZ7Joaq3RpObgKSee1xeedJTVMbUs0AG2ZTOjJTV/McKETZVTAwnXcmtCNAMd0J764R3jjqHo1w62Gg0S4jp4KLRSlHp4Qur55RoH7w3Pad61/7s4YcYJmeXVAs9/+X506lyMa5F2G9M18dKsbMvWi7PRoFQs8OL9U5e77JfjzyIeuNYRvn0OFbJq/0aWbAnnlPYWumSO31Xpyojvol9kS3ELf33xr7z75nc33N/cY6pOCKphfdd6+kVG4PVtsGpEpfls6zlmfamD15eBYl8HX+baO5aTEblj3DAEd9GmRcy+enb8WRlO+8tpvPH6N/bpGAOFKYux97i9M8vT13FX1zwLdBB/njsj8NLh5X1Ba91nl7ar0sWJfzyRf65NsnXWc/AGuz5d5mHeIIfSmky7u+JYfaW/guirD32VT9z9Ce5deW/Nuh0N90xnT4Udm3d52dOXAUM/t1Gojwg8YYdomjMnfJEKHcSycaZOBfrzNEnT5SQlF8J2jMDrBCcPLbsbI68Gq9DYKlO2Ttqyc7Ert/bhiVS6LJh6aNKLAJodDV4pU6R8YzH54pr0aBOH+ZCPMrncfWSyoQkhNUlequdTpSnogCAaMCsLpneuiNft2/1cJkTT/A5mBF6qT37awYv+dQKN1m4mRDPo2sBp1uOUlYUDzCKcj9ZR8tB+S7ijSrlC/hgqa96RnF8lPKEAFc7jS4Vo7h5l6Ew7eBbgr+nm9CfDPlhugFv240FXOszVLlUyIZrm37SD56U/FJNgI3WPtXZ04/kKt6v2wk8oTACglBpUVDzFGT97IH7vl6ZS8kts08kAscVtqTtQ64uDB1Ds4Ul8xSvWzME75WnNMbsfw6WnXsrr93h9vNwMUIzICh76H4JVj8br49IBftJgpcHgNv00GwgdvCi8NU1aPJf9Mi25lsyxqDNBv88CL32sqsFJbwlOzIOKkl/KfDYlv5Q5/obODXX3NwORdJH7agdhbcdaGqG15hs3P8czq1NPv3fAwUuHQ5r+1/S1D2US+jKw6uvgy/zd2cqO55tC+DAEYP6q+Zl/DZu7N7OttK1PxxgoTIiuoxymNU8D4OhpR8f3R3XI967A1z6u5eKo/jmgkB1c9zdE8weP/YCjfn9Un873ha0vsL20nZ8/+fN4WfpBibkfB8rpun/1/Ty2/rGa5em+DrarZs4Jhk+ZhB1NYvPAmgdqlpm/7/7e763drew+Znc+d/TngN7L4NTDXM+hDn0V6iMCT9gh9vrVL4GqsEzbZtafr2fPS3/V53Zc24prz8UlDzICrwAHv7VeSb7wmKkkK7zjsuy6jMBz40whpW0ua/45kbRq1JGDR6WUEadeajBq53yodJGLQuvam1MCL0qz6ffhLyrnJw6esnWmlIIOVCZE06i2llzSj46UwNuz7DE9CpE1Jmfo4OUIIoHn2i657Uv5de4neCgcrWkhHEjf8MQaShvPxOvchz07JqaOa2OVJiXnF51z+E+SiROA2z4fXp/oWpVVeAzdkfyIhQIvLJPwsTs/likcXyhrbMuOBdJ//PGJTHs1SVbMID9VGuHuJevY3O4xbtHvqMYldCDSDt767dlBhd81i7JfZnvawYuSh1RT/eP8hyV/4KmNTyXuZFSTr1TpWeDZdcYappi5m8ryWuPgKQja1sTrzQ9zul/1HCE/CENk02nJHYDAr5mPUU6JJY1mjDMmc6y6Dl5fH+qkExxVDQxai62w7mko1c8IZ/pZCbKJdIpeMTN4q1cXb2txKxfec2FNX6udnp6SrHSWfa58aAXnXZ6EAGdcux0UePUGV2bg5gVeQzeqL+Ktr4NaM0hzLIfu6N7ds2XPuG95O9+wr7sa89l72suEspqHL3k7H4doXv/C9TzQXjswHmjMvOGcneu3g5cOk+yvg2fmW/YmGuavms8Hb/8gkL3/030d6Dp4/37Pv/PRv3+0ZnnadRpscTAcBV5/rm/6+lRHWkByTv09ty3FLUzMTyQfPWDfGdd5uFxXIcugCjyl1BlKqReUUsuUUl+qs/58pdSi6P9/KqWOGMz+CAOHPS6svZINy7Rxp01j7Ny5fW5n7oFTcaPfGmtMNKA2A8ByR+jgnf4tOO3/1d0/nWSFI87LrrN1Eg5muxmRWGpzM3X2dABNThCFaCbb+anBqOVqKHeRj9RGOfVdGyeB6cMg1/G8uF3L1gSV1J9hkJga2rLiLJr51LHKqQyJ+7xo86nN4dN2M98tnIPnZObgmYz8gdK4QJ5wMPD8ujZ0ZRLdKz/OGC8RFdP1Npp0MohXZuoV0JxX6DpfHbZlQjRDB0+lfsRtV+OUAypBhYfXPZyZx1iohH00P3q3PBOKl6TQuZV18MrhAKjkhj9MoXMToLVFvVw8n/lDOE8nPQdvj5bQae5a+RE6V3ySnOVSDspsCGqfZqdRqJof5+888h0+cPsHYufH3JG9Onh1xjVG2OXsxCGtFngBoFNtJ8W/UwKvjriMk8DYyfxJW2sI/HhAb3iqkC2DUTO3yDPz8hL66uD9ffNTPJmPzq9KuCxavxAuOwn+/KG6+6bFRVqIlfxSRgRt6t5ENb9f/PtYIFqphzue9jJ97yk8zfdNPa3UwqDCasdmpeP0WeDFhdqj69qTwIP6gh3IODEN+9zHUEUzl8eN/hYgzExrXpt7cjhk3zMuV8WvxA5Q0U9qTxbsQhyO982Hv8n1W64f9D6Z2p15O5/5PLsqXfzwsR/2mMY+/YBlR5Os9CYaFrcujl+n7/e0g7fL5uCl5kfucCht4MPv3w2v9FwcPv09PpRO01+W/iV+3R8HLy34qyMtILl+/Q0/7fa6aXabB+TBjTh4w5NBE3hKKRv4BXAmcAjwXqXUIVWbvQycrLU+HPgmcPlg9UcYJFICKO3m9RXbUnERbavFCLwqB8+yYa9j6x++txDNTUujDV1Uam5dULbQnUkMug5UmLzDr2QdvGqB5+TJRZlN6gq8PuD4HoFJHmNpgtSEJx83HjVr247Fngo8zrIe5v32XZT97A/ibcXjwz5E37Fvf0SHDl6xDRb8EtdyWOW4VAjdH0drJuZqv5BzqR/di5wb+Q/7puT8ormIRuDtN2U8X9nUwZ/XRKUHvFIqiybYqEx9MMvVuOUgHuSkQzQL5dBlTAaO0f0QCzyVdfBK4cC+FA04NRosD7TCrQr5m9o8lbbuqGh51J/L9no7U5vDzJp+54EE3TMZkytQ9sssriShaem5G4aZ42Zma8+lxMDvng/dw3z0Q9tTJsLtpa04PmyYFvDY/snJuXYo8Oo5eHEWTaXi+wegLboepg4fwFs6rq055jWPvAwkLiGADRB4HDblsHhZAHxryqTMvjUCz7iG6Y36oO82d2/m88uv57NTdwsXRJ/J7mN2B+DFrVGClJUP190/LS5MkoDx+fGU/FIm1Kueg5e+pulr4AVeZhDY0+dWiv72MpnrfI+P7z6Vt+y1B0EDcfjUxqcygrSvDp75G2g0+KoXslVN+r7oCTNQTLsEY3Nj8QKPQAexwBsODp4J5a128Mw94FouAcGgzyVL08jBu2zRZfzu+d/FGRTrkd6+vw6eobdzNX/DkH3AkRaX4/Pjw4iJkZBkpWMDLLsL/vzhPu8ylE7TNxZ8I37dn+trwpGhvoNn7vn+nlvJK1GwCwPy4GY4OXir2laxfNvyXV5uZDgymA7e64BlWuvlWusy8Efg7PQGWut/aq1Nlc2HgT0HsT/CADDrr3/JhGCqTGmEHbydohBDe0yVwAs8MD9K+XHx5lPPfxPTv/Od8E0P9fYsWyeuXmFczTw+3Z0MuHSgKFga7XtgKYLoTyPjUDRPgH+5Og7RzAg8t+9fJpbWqRBNCNKpMP0gmZbk2HEHbO3xy9wlfMu9klIxO8Da5IVZIu2MZlOMuf+b8Pcv0922mnbb4geTJ6KVxtHw1kOyA/gZE5pwU1/SOa05WL8cv7cjy8JXiopfwbEc3t7RxUHlaFDRtaVmDl6Q+hELQzR1PDBOJ1kplENXqRyUw7DSSIibeVIOCj/tjBbDz63oJJ+9Uh424KY+scOnHM4977knDiftjq75Ic54vFRdw1mTm/EDh5JfYlOqCG29hC2u7WYE3qb77+Ff7s/+uOWjpkt1fsTNgH5D5wZsHzrHaf4x+13x+rohmm4TPPprrLvDAUIAGYG3vjNMCpJ28A4qP1lz7G/eEjqZaXfQ0RoCj92ad+Pzx4Shtp11XGgjdpMQzXAwUEwVm+/LD6pJ3tFqvjciUWEGtb0NUtOhbEbgTchPCEM0U05AvcFKenBkhDTUCryeBjrGPc84eHd8kZXR91CxzuC87Jf5wO0f4NP3fDpeVp1k5WN3fYyNXRsz+3mBF1/3en3q6wDGD3yuf+F6jr/u+B73MX+b1QIPeg//3dWYPmxo66SjFN2LXjEWDq7thkmTKu27rE+NHDyT1dXMBa5H+r7e0YF2o7lsFT+MmkiTdvDSx5vWPC2c89xPgXf/6vvj76G+EOgAJwpl32FxYO7TXr4z0tdlVyfeaUR/Hjyknd+6Ai/YMYFX9IsUnELs2u6UwBsm1xXgrBvP4uybzubq564e6q4MOYMp8GYAq1LvV0fLGvGvwO09rBeGAU2HHpoJwVRNycCo+dj6LltfsaoFHiQCr5AIvMlvfwMT3hkmAOlp3o+acTjsF2V3O/7TcOCbM+uLr/tR/FoHcOahU8D3QSmUCTdM9UWPmQ7j9yRfqReiWeuIlet8GRv8OMlK1YAr0PEcPGUnIZqzpydPX3fb9mxmFzOXyzTVUQCUD9FT7u5o0PlgUwEfjYNmjJ39AX/v6/bCTTmcrtYZdetEDl5FKTxdwbXceO4kAJ2bMnPwbKBSSY5huxondci0g9dUjsJI/XJUAiKak2kcPA0ecGPLGF5yndjBK6cG6agKDpq0zv7pG38avQrb6YrulZwO4gQ0AG/lAd5avpdAB3SlBmZ7jd2LasKSEymR8cnP8u6Hsp9hPvqxK6vasMWJ+YmMdceyvms9lg+BDTlsVoQRo7HwMCLMUlYo+m77PPYLtwHgA3pDcg+s7QxDQ9M/smODbIY0rTVNe1yfOUZMNEAYlwv/xtptixOqktWYTIqJgxcVP6+qRdgTWmsuW5TMky0pYgfPtFsxbkK5A7q21LRRClLXPkoEMj4XOnjpAU69vmQcvJTI9bWfcTd6LEsQPRhoJJQ668zfM315dnPymVU7eJu7N/ObZ35Ts1/GOd2+BtqT5DHpdPpzps5p2Gcv8Pjuo9+lo9LBo+uT5DyXPn0pX33wq/H7dJIVQ4ubJNdJ10Mcasy9vr49qeOZvgdcy8XXfuZvYrCf6PuBj22FDl76HjJ96mlQn3bRdtQ9a9T+Txb+hI/d+TEWbVoUL2s0B298fnxUQqZ/zue/3/PvnHvLuX3ePtBBLFZ2WOCZz7aX65UOXfS1z/bS9j7V3BxM+pNYJv2dVzdEcwcTnRS9Ink7PyDO/HBy8AzXLx38sOzhTv9j6vpOvZF33W9YpdQbCQXeiQ3WXwBcADBt2jTmz58/QF0cODo6OoZlvwab3IYNTAS8Pabzz5degpde6ncb06J/H1i4EGybpq51GKnY2t7NM/PnY/kloqAunnthGZu2zs/sX9ljj/j6m/Ye2f8zBKnPxBl/KpNZGL9/9sFlmHQTOlCsfHExTaUiGoXWGgVsmDCZ1i9/iTG33gaLFnHfLbfgRPXKKlUhmhdtMWZ09NTbdsg1+PEpRqFeNQJPQ6fOg9JoAqN16Fq9mKXBDA6w1jCpKlWyFdVKMA6e68HsV4qsVSVeA1SiwbpFKNAcrWldtxI4Pm5j7coVTE6XEdBR2Kq5dtGqklKUvQp+pRuV+nPe9sdPsGHvkwDYalsoDb5XJv6KcTS2p5izLGD2Cs3mcamwRA/WbWylvbud2//xAOZrYvlLy5m/aT6b1y/HU4qv7xY6lbe/+Cx7AtsqXty8sirYOnKkIh5b8Bhj7DGxg9cVuU1rX17Bo1sfB+AItYzPd/6Yq8eNBSYyny5ygeZbwQEsXpo4mAbVpXh227Pc8Y87KFiF+F6L16Pwu7pgXHitHGwmba2wcTxoS+GVPFzt8vK6FbwxUGgLXHye3E8xo1Wz6MlFbM9vZ+OW0M3JkeO+++5jLkmx+UApgtTX67NLn2X+hvl0dreD0S3Kz3wf/fKpIs7EcA5OqTMZMHhK8ce7HubazRt508GvANBuWTVf3m2toXB57MnH6GjqYPy255hDNpPpK6teYX5Xcszq78SXSy//f/a+O96Sokz7qepw4s2Tc2KGNGRE8oCCimLOEdTFnHZRXF3RNa5xVcA1uyZEskgWJOcchsk5z9x87wkdqur7o0JX9+l7Z0D9xPW+vx/MPed0qK6urn6fet73efGnnX8yn18/YzrOu+suxF7VOKfbdmxNTvqN+bh9WRImDACDI4OgoODguH25PHapUUIjauD+BxOWYtXaVbh9z+2pfTcMJ/eTBUn/NIMmCnGSczg0OjTmXL51RIkpcWG2OaoyF3rMbnj4D1g+NDe1T4MrBVrOzT59sQTgQ71JSPDWrVtxe0P+LoSQuYEqefbu++7GW+59PwCYPhmKk32HhsZu84MPPwgfPmLEeO/N78UFcy8AFxwXbb4IAPDi+MUAgOXDy2V/jCZgY2i3PMftd92OP/XJe7dt5zZzLtup1N9tDDbiyfqTeGXXK3Pb89ew4Zocj/19O6SqL4Bm2MTTyyWIDhoBmmjirnuTENabbrsJRTpOgdK/0EZro+iL+hDGIbY3t5v+GBiQ74Unn3kSbVvacvdd31xv/n5m5TPo2taVu914dvd9d2OyN7nl+4d2SRXL9TuTcwwNJuOl3qxjsjsZx1SPwR133AHBRMuzPJ7pMdDf7B9zDGa/39O7B0S9X5Y/sxzVzVXzmxACMWJ4ZOzoHAAoNPfgWAAsauKucXyvlcNJWY/1G9bjhMelm3nB3AvGPf5f03aEO1Kf73/ofuws7BvjuSFI5q0tm7bg9qHbU79v7ZVz5pZtW56VDzrcGMbAngGsqMn3wv0P34/eYmto+77Yvffdi263e+8b/o3Nno9G6/+cPrltf0uAtxWAvQQ+C0CL/jQh5BAAPwXwMiFEboVZIcSPofLzjjrqKLHsWYh4/P+y22+/Hc/Hdv2trdEzCRsvvAiVtnYsfY7XX//1rzB8w4044EUvkl8MbALUQnPPtFmmX3WK+EFLDwMOSM4V33UnaKViauLp7U54yUtSdfKazzwD22Vv+8M15u89T7ZjygEDCAkBdRzJ4LEYHAQnvOtdWPG1/wIAHLh+A+7grTl4ToHj7KERdX75EueubwqnZ40pFsUOG40dB4ITjPASXBLD9z0TrvmCIw7Fjoelc/Lq0cuxFtOSc2sGT81thRj44rXPoO2dRwEAKqUC0JAMX0wIXAHMmtoFWCXRDj1oCWZtWIX/VZ89CMMeAkBt1ukAnkBICBgYDvd3wEUCCDuHluOFq9fgohnTsMtx4RIK3w7Z9QhIDLz1do65e4AHliQ/uUxg7qy5eHr906h3zAchUiBj8X6LseyAZXj6u+9E3NVhtp81qQpsA0i5IvM0AYBIgGeHaC47aRmKThniVglc6pTCFQKL5s7B4PzDgfvvw898yeL6qqNDAhwQRnjZtJnwDz4UuD193w6cfRCeXv00vtP/Hdz8+pvNWKNcgFNZT66j4AJooE4IFg45+OoPm7jkJIorjyfobu9GM26io9IOlwHCEXARI6aAx4BjjjoG+/fsj0cefgR3LL8DlUIFy04+Gbhd5ctBhWhabZo7by6WHboM7uZfmCW0gBC5nwJgZ914HdqUzzilawo275I3nwG4bFUTTwmGfz3oBcAdP8MwpSlmDgAWzFqAh1Y9hP0P2h/L5iwD1nHgcXkebVNnTMWyY5eZz9k5sX1XO3BjcsyNvocTjjsWotwN/it5RY1SiI9OmYT3DQ7hoDBqmVO/cvlX0Oa0YSgYwoA/gO5iN45ceDgeePIBHEafMdsNOO0Y7NgPrz48CRrZtXIX8ID8u63SZo5NLiaY0jUF23ZLcR+n4Iw5lz+1dQi4524IwGzDny4AkM95tc3BCzL7DjYHgd8DIMk+m4c3A1cB82fNx4Or5GQ3bcY00J4DEBaewsmzTwZ+DUzumIxdfbtw6JGHAkpLQh9jw9AGQImpbo+3QywQOGWOiliwopMOWLoU1burqDfqZv++Rp95/l9w/AtQ9srY+PRG4BFg2qRpWLdNLtQduOBA3P7E7Tj6mKPx2Ss+CwAodZRMGxpxA/htul1Lf7kUAPDtV39735RVhQCWXwUsOQPw9g2AffmyLwMx0D25E6riC4hDsGT/JcDdQE97D4bDYRz9gqOBq+TvR77wSEwutwKgv5Z948pvYNqkaXAaUhFY98fFN18M7ADmLZqHZdZ7y7bC9gKg1j4W7LcAy/bP3y7X1L0+8ugjsaBzQcvPv7npN8BOoKOzA1AEcHdXt2mf+3sXy+Ysw/nHng8AKF1awpTpU7DsuH1rQzNutoyBbNuy3196y6Uo9hbRCBpYvGQxlu2X/H7hYxfiR0/+CA++7cFcoStj/euB+wEHfFzfa8szWwBVqWHWnFnAU2O09W9o2TqRhx5+6Lisu22VnRWosrXYb+F+WLZ0Wer3P939J2AdMHXaVCw7flnL/mOZ+J3A/Fnzccz8Y3DhDRfiwEMOTJXn2SdT9/foY47OjXj5/21bRraYeY145J/SJ7ftbxmi+RCA/Qgh8wkhPoA3A7jG3oAQMgfAlQDeIYRY/Tdsy4T9jaywYD7cyZMx5dxzn/MxykcfjWnnfy75IhWimSNVb4VXAYA7eXJuwXM7fFTuN/56Ru8f7pdhHzQJrOOZR4QUi3jNnRLI6Zp3QH4O3kDnlDHPVdfEni384jkQHIiEC0IAQpOSCY6Iob33uJEO09D11JxMhAZfJXM/eCY+3oWAmwnHKHkER9BkhdcTArAYvN2LzpLtVg7btN33wtV189pl6uwkxUr2uo4EI3FyXu4RAATtqn5ez7ACVI5kBwdrAiELsbm/bq6zsnYHwq3b4GaJ/4ZcEQ9sgR8aS4BnbepRDyPNCHqa2+GqguksQqxCNANIoF2wmD9fCKAxYFRBbbtPaYDsqKVXZM++mcOLBVzqoqSFOAjBnF7ZX4u2y+PrkJjdI6NwVLUJjzDEjtzOU/dbhxOW3JIpSaDJXg45LByhFR0Vq6TENNxYIGoQGbq08roWpcrplenmb0YIXAUXz7tcTsGjlKaYOcAK0eTpEE17u8tXX44n9jwBALhi9RW4euDq1DFoXjFLwVIhaY/0L8dtlTJ+357PdIQsNKGkfc0+tPvtKKhcntpjCaq5ddUOfPz3j6f2te/n+qH1plZeLDIiK+OEKmmBIzvar2kx3/W8guUqpDgWsck11OeY05YU6l69axjv/cO38InbP4GbNt4EIOl3vb0AcMOGGxCwIFUzsMma+OhtH81t87ah0ZYyGHa+n1Yc1aF6triQrn9o593ZYjHjCYLsU9gW58DPXwpcfjZwa75Scp7pEMJAK0AKAsaZeRaKbrFFeOdvHVqqRVbavLbc3L9mTmkRbXbbxgrRvHLNlfjhEz9ExCPznNlhmWOFVer7YIeo2qHjXPDUs7m3HLxHdz2Kbz/8bfP5ueRkcnAzx2XHyVVrJSLfaxjlPoZo2mG6fy+1x+zYezY5ePa2eSGazzUHL4gDFNy/Uojm8yQHb3nvcvP3/0+Bpeer/c0AnhAiBvBhADdBkiqXCiGWE0LeTwh5v9rsfAA9AH5ACHmcEPLw36o9E/a3MVqpYL+77kT1xNzo2ud4UBvg5azgZXOIxrDs6jEt+GNsKU2EIURYB6HUMB86FK5ysgw/bD71JEy6nXX8YbQCzEa1A22zG+he0iqPHeg8O/sJdAkEJ4iEC0AAJHEkKTg8xZjFjfRj6yiJySzAG3xAOhlCvwBUc10BOCI9mXdEe1LhjZ4Q6YLraudRJVSi1SpXz/kgmgvPAQBMYkkDKCEQVp6bULUwtHBK5ygQuwSRKwHe1Y/tQshDbB+sG9C7+JM/xboXv7i19EFjEABQt4Af9ftAIVIqmi51MViPAJF5KfLY5OCt5xLs2COlIATC0X4I0To99g92tHwHAC95TOC0RwUc4qBkvew6GvLIIzqV1ClipAGs2Dkgy1lQARcMsRryVchQQf3SLTgFw1Lq1jBCwNVnSqiVgxGDCIIPXMfRfmk3xGO/Ay55K/BQOrdrZlvCasUAqALqvcMql4k4KWYOSHLFzr/nfCkaoUQhggxoe/v1bwcAfOG+L+DW4VtTv4m8CH3Och3TsdyFgAVJrmA4goJTQEHNB2lxmNYjZJ07DYhiHqfy88ZzDEKrfuPGXnlf6imAl3E2OUP8/cPMxzdd+yYMBUPGKZ7VluiKzd12DQ4vyjBTLUZjcvBUGYuHigV86s5P4buPfHdcwDK5NBkukwtMtTDEzEoSNvrAjgcw0Bwwn/XfAZNKuHZf6Bw8G5zYAM9W+MvaPjmcWx8EtqjQ2tF9F+nQY6bJVB6ikDl3+h6X3BIiHqWAyj3b7tnn4z8X0yIrbX4bRsJWgDeeA23fy7Gc5c/f+3lc9PhFOO/O8/D269+OPfU9qYL0Y4Ey3Sep8W89KkywFHBwiTtujti7bnwX/nf5/5rPYXPsupFjmRDC5AJnr1fPNeONLQDPuuYk8PcDeNnzPps8SxtA/7UAHuMMIQ9RckqmTEJ2EejZ2POlTEJfMwkCfD6IQf297W9aB08Icb0QYrEQYqEQ4ivqux8KIX6o/n6vEKJLCHGY+u+ov2V7JuwfxGyA51vSzj6HU2SyNt5zMOLnA7y202QOiuAEwaAHUMk2AYBQ/8763vcAANG2lihjAEAMB18rfgwfDT+UnI8Aj75wf3QurLVsz6wyCdq4IwFdLBwQqsCfVtHksQmJzDJ4x8yWse+UAy3JUwCEcoaY+rFrl4d4+6A8v+A4eetjaKtthX1UTwAsTKYHHnEQQUwemwZd7BtXY8N5PwQAFIVAmwJ5DgiEBfhirZqonPDOGhB7FLEjQxMdTsAFx66RRnLRui0sAwyagwAIhjLy70Pl3hRIpYTil/dtTBdlBwAeGwavVGtixSUzUNyeXL0nBNZt2oIf3LYeWRsdWAQgYVZsI5BOSdEWO1F9WFND1nd8NEICkFiFaAKeCtEEgG5HghetbCYgTL1GKgTaawJLf9KOw24ogAoBCmpW5hkYPOHhyLXq82YVQDqcHrMLOhagy5dANSYEX3J/Ic+lgHDktAI87QQ04gbedv3bTJmELNOXtcd3P46Yxzj/nvNTq6vGRD7AG8sCFhhlx0bckCpwCpDULEVPQlqdnex5NgzJgG0m2JiqglkLrTH9zp/L0MqG5dzs4Zl9R3eZhRUA2Di8EZ+845PG2bfFXqiIMJeqMFHlyBnmVIGwYbXAsn10+7hOlXTa5bGf3jaAJzcm4/ve7femHHhddy1gAXzHN2zOos5F6Cx0yvPaNQctxcfxaruN5cRuHNqI1QO6fI0117v7nh+nQXignVLhgglmrqvkliSDZ7Xhyw98eZ+P/1yMcw6HOi0ATzua4znQKQZvLwIcf9okYzlHo9EUg5r3HK3sX4lHdz8q22cFdlPL9dPiMNr2VUVTA7OonptZM65xMTaDp+c+rZI7dgP2sfyHJbzzbMRN/pqWfVafzZxnb5sXVWIW+J5FHTy7tuX/JZEV+3l4PpRz+Xvb3xTgTdiEPSezJ7FCwpgsfuMo9nvlrpYQzazN/tlPMeOb32j5nhRagWFh8WID3gAgGnVAiMXgKXBAi0WQYhHxnnQB5R+9lGLSQSPgoLjJOQXX8OPNbwOTZ+FufnBLeQYASZkE6zficIATxMyRwI/HJg+OigTg8TjtVB8wqQ1EqNLjOVGonKlCwJRg6QaOA68uYOuPZL7SyVsfx6cf/i2KX/imFqMDIHPZbIDHwhBUUNQyDF7WdJgmJRSwnGGm8vE0q+pyIHAkwHMZ8AnnagBAI2oinWEGtO9Jd+ALKrI+4iBroiNTEzDL7f7ino1omeZ4DKZehtU98oXQvjoZU74QaCc1PLopcdLqm8/GaZ1fxGjA0R2dlutc64jWIkucCE959zqd8SXzXgLGHFARgwoYkRUd7ktUWOvcdsm47KztNIXdHQCvuVeed+pGt4XBYyKEL1w01DCPB5WD5PggbuIsedTDl474V7kPgEV0Ow4kG0HVWI+oi4Cmx5gNRAIWGOcqu522T17OcNRqjnfc8A6sG1yHq9Zeha8/9PXWDTnLdSb1wortxDG1rQZ4gHQGCwok1FMPU6vDoR3Si8+4GJNLkzGlPAVccHDBcUDPAfj4ER/H6xe/HiEPcxUXm3ETd+64DnoBor+mawEm51orEmVLIQTE4FbEmVWXnfWdxvmwi85zJKqkenwpjRMEOc5uXhu1MygBnnwaVu0aTPVHT7En1ee6yH3AZF0sDfAWdy02913XWgTSAGS8MgRjgYQzrz4Tr7tGlQaxF+vGmNevWnMVfvH0L3KvMwF48lo18Cu5JVkX729Yz2359iEc8LkbsWtYtkEzeO1+O2pRzRS21vd6vIUDmyHdV+e/GTdT9yJvvzf88Q3m77FUNHVoqbZ9BXj6fGHDAnj7GKonhBhTRbOogL7NTubas2TwfMdvmbfrUf2vpq7KOBuT/c/258UrL8a5d+xbWsvegIqe154NyNL3zqOemYP+khDm5wuDZ4et50aM/JPZBMCbsOef2au6lR7zJ3Els7W3EM3q8cej48wzW763GTziKcBRLALUdgyhPqdDNAGAVquIe6XK1E9eopygeSOYvFQ6OUwIHD2vC196wbtwxcEvweOnvh5MOK1KmbDKJFg5eAU3hhBAKFzJ4IVDCYMXDMCDfEnY6pYA4HFiBFZIHsBTuQwBIfj41emJuKBeSGRnL0a2JSvoRS7AguQ8LIpAOTVhcC15ccp6FODyY2D3/Qn7Gqv8RydKzt+gRAE8goq6togHqbxEACg00tfbIATC9THEGgZQarOB56nfuh1Fj7aGWvLYYE9PvRy5vabgVVBCYBgtAHDC/YBgvvwgymjEjZYXIlOnKVkAr6gAHuXAza+7Ga9a9CpQuHC1Y6ZEVk6acbY8dChf5ksnS6GKU+ecCqhVSQoBeygRyBVdk4OHJiqigIYa5swAPA/+pD9b+xH4ugaV6trrC5/Bex2pgBJRB01C8JJZy8w+fsb5DtSLNFDPog26Llt1KY5eI/CpK5RwiiXnnzXB41xn0tTXu+UL5ju96qxDNAHpDLYpZcRBOj7A087woq5FOHbGsYh5nCru/Z6l7zH5iXlt+t6j38OlG78NpyoTMQMFxmPLqd1lOdwf/vOHcfht/5Ji8ADpVOlrscMhBYgBeNpRuWvViDqXAhHWcfIcOp1XyDkHUaCnHkUASdrVUehIXV8tVvdSMXja2W/z2xKApxi8ildJAYnnwuClzHYMcyIzhBA4/97z8Z1HvmO+Y5yZaw95Ux1GjmfdNh2i+Wzl/p+N/e89G9GIGG5fJfMZdaijrnenC1tr5s4GyVnblxDNvH1s1ubZXKsN8DQw1bavZRIMwLMZvHHGg21MMDP2s+BAj7nxxpbc0eqncdg8+xm3+3bH6A4cc/ExuHjlxfvU5r3Zv97+rzjiN0fk/pbtz3u334ubNt60T+DS3jcPSOl57dmALA1EPScBeP8XGDwb4AEy0mHpL5finm33IObx3lnh/2M2AfAm7PlnNsCzY87133th8MYym8GjngJY2ULpBuBJswEe8T2TFHfvAQQ/3LkbH1ROdNEluOitR+CDyxbh3hlL8YfDX4H2ahGU8FwGz4RoWpdX8QIITjDEKhL4kQTMuTsfg6ucVpHxGF0mEoDXGsFhrEYpeKYtvv3isd41HZynGbwgBBUOapTiyDUc1d78qaOs+qe6K+3c6RBNp5a8RGJKETmAE3loUyGToWggy+A5vPUlWPeKiAVHj8USntm/OAXwThq4AvvHqzGdMDh2mCeLDINXULSla4FKt9COMoJUaKdPXewe1gIjErgOXXdeqk0JwEv61FM5W34MrN7B8NXrV4ASz/S7oIALBr8k86V4XYK5SaVJuPvNd+NLx3/JhEM6mW6gQsiyDJrBQx37h9vRVI9HOKgcJELhdz1g9hMQKCqWnFnj+3BsBAA0qINBSjG/OhtnzD8DQBI2pW2bynVoKqe8zUsA3lfuSYtljAfwwjjIdSa1mA+2JHXbtANiA7yCU0CHylMbcFpDNPsbw1gzsAZAAjhc4konlkXGOdJsgi40n9em/qasy0eovJ4YIymwAQCR9fedW+8EA0eUYfBc6uaGaHKSPIKGGVOiRKEKi6xbc1Oec/iyK1+G1QOr5XUJxWyy3lTIqoBItVmHNQUsQMEpGGe/4lWME64doza/LQXc7DypbHv2CeDZ2+TM63khdfa90QxeHsADxh57tiDLmBaMAF+eBqz5U+7P+mp1eK8GeFNKaXEtfa+f3r0S/b27kGd2aFnMYwghcNPGmwwgyRNoacSNvdZ+HMuyIis2g+dR79kxeDZwDcYeD7bZIZr2uYQQeGjnQ6njj30Q6/fR3WNvpoqqO8RJ9dfG4Y0AgNsyZYe0DTYH8Z2Hv7PPwPnPW+Qi2rMBSvuSJ2YfLyuYBiQA9tmEn+o+96hn5qD/C4XOdbi5tvt3yPze6zdcj7dc9xaccMlfUSviH8AmAN6EPf/MBngLT7W+/wsBngXmDIPnpwGeYATEcU2IprABnptsG3iAPZ22FRwcMqsTJV+2sew76Ch58MDGYPB0yKL6jQhQwiA4MMDaEFMHhCRCJ6TWa0RWBEvn7nkRNwIrtEWRBHj5qFzVqjQEOjKidx988uqkTRaga+Mc4YiLuKiAQBSBCoo6JTjvco55V6VVDrWv1K9CMQdJ2nmKFINXtBg8RhxEvAv+6Cy0K6BWK18rwYjlHDhZCgRAoIBF1VrBXhq1oWjt9wXvV7jKPx8/v+IL+NC1Simyb0CFBcrtiqr/51mg7FoxhCKJQK0yEb7rYqcKxRJMOo9Dj/421SYNngsWgxfW5HH9iOJdP3sCP75zPRx48LXIDQV8EqNe7ZT9tHu3VL5sDqGj0CGBh3LuKZBi8Fwmc7W0I8VJA90Wo7l+0xb5R5R2cgUEPDX1R9ZKfpt6Jna6DgQhmFzsGlPmflcgc8IarnwWbRVKN/Ou/8lTP8EpT3C01VvH5mg0mutMNjSDN/VA8512QFIhmm4R7Qp89qcYPHm/P3bbh/Haa14ra2vxBMy51E2JcGgHVws/5Dl1SdkQATg1VBd/Gd979HuIrQWJAK2gITt8Xeoaxy4boqkXKHQOl+BFde1y7OkcWFklMx+grBtcBy64YaAHy5cBJEaZyBIBcYY11aveIQvhO775repVTft0uFyb35bqGxt4ZB3Mva3qc8EBFqNOCN47bQo2iFZn126nZh3s89eZ6ieRziPS4zG7oq/tsF8fhnNuPmfc9qFvLRA3gFv/M/dnkSA8cz2UUJQywmC6TXuG1qD7wsW5x6pFNRScAkpuCTGPcd2G63DuHefiNyt+AwAYDAZb9mnGzRRIfVYMns4xFxLsP5ccPHM/bGBgsW7j3X+BJETTvoY7tt6RHH+vAM9q4zjgJBYxKKFwiJM6l25fXl4bAHzp/i/hF8t/gfu335/7+1i2bXTbPm871vi0ze4HtvWBlt+fS6FzfUyXukmI5qrr93n/sdrw97Ys66sX5XqKPVjZvzJvl//TNgHwJuz5Z/aE22nVVtHAbx9VNLNmO6vUz2fweEwA14V+a3/vrUdaB0j+jJ10DTC8Q0o7Fz0N8FxMbS/CActn8CjFna97FLsOOks1iIBQVXtOyKLYsERWvMYeTCbSyeKcgFh0jhewREEzZ9H0LSOjWBSGmDLY+luqTYHV0IggHPZQnqZCJ4MIRDio5V0MgGa/7EftoBbDpCGlnhBN2nrPaMFFJCrwmQSUAMDKj8HvuSsFEto3tcadRgrkl9T5HCbQ1YwwKU6/aHS+4gnPyO06OAN4ZFQ0ocCYjQ1OLMox51sBcb5DTa6N4NKBG8nSoQDOOugstLEIvgbmobyuF6xOXr4ELly14qkZvJWRdOTj9cul8uU1HzHbr9khX1IOROr+liKBMBboqzXlC5tEMkRWbVN+oAEhAB6kX3qMc7hq7Nq9VVQOwjYF0icXutCM5BaNKO3w7VQO/55IHqdgCWRkAd6GVQ/iA9dznHuF/OEYmhQ13t3ozQd4epx1JmUEcgGeU0S7qxm81hDNx/c8Jo8XNxDzGA5xQAgxLIU+pmYoNaswHsCjhT0gVI6FmzfdbNhgAAhU59vsBcsweB71EgaPWrmNhJgUWu2oCK7DpxTAU/0iIMZ06LTTrvPSdH+4RI0xHqccMs2Y6Bw8vQpe9atmdV8rbbb77YZhku1KQBnjDL9dkSx67A0k1KIawGPcWyrigVIR3x1+qmUb+z5c8PgFLedsMMkeaQYvC/CyK/q2PbCz1VlOmWKGswsk2nSOj767mgk7oPuA1HaG3SBjO+Cj0SgqXsWwTDrUtrchUwJs1VNtTdZM3Udb/Ka1sQIFa07OgoJnUyZBm2HwbMYq2DeAl2LwrIWBjUMbk+PvTUTFbmM8NhOmxW/sfGUAqQWfPFs7uBZAvqDWeLZlZMs+b7svAM++F3xXq1CV/v3OrXeOW7Ykbx+PeqCju+EJgXDrg3vZa2x7PuTgMc7w2O7HUt/p56er2JXa7p/FJgDehD3/bCxlvjEm4udiCcDLsIEizeDN7k4m92i7VfuMJPkyaJ8FTD8UABAoh7jiO3jT0bNx+v49YzJ4TqkDtKScXUcJrnAClzMISkCIxRo8dVnSRCbB4JLXS3VErxklzE5OWAwBUOYCUab7ZpF0WEtaNVOet60oX9irtg0AguKYR5N7Y59q4y2SHdCMZ0m9b5fPm495p/ViN0kmWG0FGiGiLnweoT2jAGaDhLb1rYxtqJijstrv/ddzzL34UXTF6ePYoPXo1RxT7imhvmEAMRMABIS6X4QIHNGUTvRLR44BABQtZ8BzCUaa6kWrQjRHM+UXHA5Z7JVFOFYpnXQohqMUCRSUAya4C6IAJncICojw6zWyn9kutfo7lKwCf+t65fhOWpJi8IoRUI6HcOeaZ3DBo9L5LZIEPOnrb2bkxkPGTLinzS45goMKgSHVZVW3iBXbJUPy+ObB1DFGVOjbsOoDBwkTlQV4GvxNUekPvnUNb7z3POPg2WFiDf1sWS/jcK0su9DC4FF57gEtXAQCDV2Jal8tqmHD0IaUol7EI8NAaWEHA/BynEv9LBYm3WbCd2WYpwr3BUGgHgo7NPCmarqEikuSEE3P8fDNk74JQAI87cpp5xIK4O0ZlfdQzzkRj8YGeBDKibHrRDbTAM/q13u234NHdz1qcvA06C25JfjUhx8JPL1chrFNLU8FACsHzgJ4guGbD33TfN4bSBgJRwAeGR4yr06ifQzt/KcYDa2kK9LAXN/PfXV4c02/b2yAt+JaYKd6HvUijl4s4QyUUnQVu/DC6S/EoZPlO0GP7xa3sjkE1KQDWotqqHgVwywbdkk9EwNBDsCL0wDPlojP2sseFvj1txm6RmSjs+zZvoqsrB9KlIUNwLMXQyz10PHuPxfcMGf2WLSFMfbO4Nk5eGODWx06a4dGA8DyPgmW3LzEdSQs+njXsXVkK5b+cin+uO6PBgg+G4C3L+MzFaKZs9hgA+R9OTfjDA/ulGDOpS4Q1lAQokU5+dnY84HBC1jQ8pxsHpZVz9Nh3X/bepjPJ5sAeBP2j2P7nS7/9avjb7cPZkI0FYM360Tr5WgzhLbTEaVfOCa8zU0AyNJZHThsdie+8MqD4DkUJy7oSDF/7fPlBM0IRcGlmNIlXwrUdQAiGTwN8EAUY2M5tIDMyyOOAHWlX+M2woTBS+WrWXllEC118j7t/i65zKIPFlLMeObl+PRqCq50+6nyxvsG6yCC4rVWukLWv9z+QCfecjmFFwsD8OYcIFVHjz3qMGSNUIaYOvA4MwyeNm+M98XSDRwnP8nx1YLKtVEO9clPy38jJp2Gg0LpGNug9ZNXcLSvKGDTT58B46r+XE3+zjnBD3buwU0DHJ0/vQEDa8ooIrnfvsUOsVjVacoweC4DPOICgqGpAHLVYhTb1MuZcQqirjd2PHSTEUTa4WqoFV2rPEhJVbLfduoPUuCpGMqQzVrhGfxiuVQZbBM8NamHIy6amRdazLgRybHZJSI4fCFM/psLCodqIJO+IU0WAMRBSCmIADizHES1qb6jVeX4qFsmC8lbZisfatOhiL+9bz0e2tgPrPszghvOVe0sQD9UFa8CV+j6fXLfglMwOWdcqeecetmpuGXzLUkbqYviSIjG9q2yLxUg0I7v+CGaMGxMyEMwdaVlUCx3GH785I9TMvm/7GhPHScWMWph07T1pfNfiqMbTTQoMXOKzg8S3IMQBH94QjoqWkC3HtXHBHhccAgIEJE4rsQJ4NF8Bg+Qtc10Dp52aAtOAZ7j4T9+x/Clb8vFoGmVaeYYQNr5jHmcctDfd8v7ctunrRk3AR6Dq2vOc0Zs53pRpyxRolk5e7wIsW8M3rNS1dTj1HbCf/824IcyjycToZnKZbMFPXRfx1kH+tJ3Ad9cCEQN1KIaql7VgKts+GCe4Eg9To8BXbA+z45/Rm43SS2y6DxWfZ4sgzcWuHrH9e8wf+ttIgvki+a+AzxKKIpOMRXmm8pn3RvAYxFuLZdw6LzZqDfHFs/QIaiU0NS5fviELO8zFoOn+2Q8QHDv9nsBAJ+5+zOGjdtZa63nOBYL+KxDNHOil2yAXNyHUiMXPX4RvnT/lwCoBa04gC9EsmD9HOz5APDychD1PNpnKb1OALwJm7C/ty37d+DdN6W/e9nXgY89AZS7/+LDZ0VWSj3Wy8Qvwby2c1aVH/2YrJvn6G2snMCy7+LqDx2Pg2eq8g6HvAlk8hLz+7oDXg8AEITCdymoOj+hFITCADxuGDwAhQzAY0kUK/cdeI1mIrKScp6JAWEFIeBl5r8TFk8zfzudFbCQ4Lt/+AOOuCLEwNqyujR5gCgIkJ0usmIvQxvKmL+FYMogUFJz6IHeRghC0TVlBrLmIEBEXXg8RlmMzeDJk8nr+twlHB+6juOIP9bhRQKljABLgxfxwMYtOH9QOTBh/hS3rncUBUQIR+XLfWB1FRUhMIO4mDw4hJ2PdKJovTA8G+CpcMq6UlW58lWTTZtdDjR6Pei+6rByDisK4MUxBVXtjl0fkzAErsdZUzlyXgX3r+9DGHO0K5C9dYilAV6kwjYtK3CeYvniJkVvLVn1LQYCIWPouPitAIAXNBOHhwgOTwB1vW5BKOaWjgYAdLoLMKOS3MMGCwDHB6OyolZktUuDc42HBmvy5eqr7rQVWIvUT9UuM8dX/dE/2sAXrlkODG0zDsjK7UmtxK4hhnDtRlDLQSm4xURFU+Q7bx718OPvhYhfdXbq3DoH76N//qhxALVZej4GQEq2RQE85dxf8NgFuYyLtm39Eb6sWFkdAlkUAk1CELf4WDIXd3DSY1ju+6bkQi2qjQnwjNMe9yAalCHm1BtE1Z0EQDpCec53yEIU3IJxGLUAw/6aTBYC3cVuc916H213rN6RCk3Nc3Rta7AGwGLDWuYEOqScW30uLfgyszoz2ZCPz+AdWZb90IybqWPeuunWsRuo+zfKr1+XFRGx1Shd4rbUJzOPiM7RXa9Wy4a2YTQaRdkrmxBNfX9+/OSPAeQ7pRGLWlQhbUfWNmKh0bntc81+uQzeOIXO7XqIpiSHtTgXW4IrewvRdIiD9kJ76pj29exLDt63uzvBCcGu+m7srO00IXm2MS4ZPIc4uaI7YwE8/f14QiheTupBHis3VljgWKqOzbhp6obKOp3SRM75nq3QjmYuAQ3wmobB21Pfg7u23rXXY2Tt2dTg+1tZ3rXrsWWz2xMAb8Im7O9tyz4NzHlh+jvHA7rm/cWHdssxiJ9m8OycNkJIsiybA/BefuxZ+PgRH8cZgZrUxhN9aZsGfDiJbY/Lk8zfnkNBPNecR4ZoAq5gEEQCPHACFBLGUjBgeHMZ4Yjcr1z1QeoNw84ZURYqzOd1fDqKXKRYMepydBatMgAd5VQ448BqeU6nIA8smgEoHGy0BOKunf2Z3EsWBHjVlJNl+7wI8Mq5ReYJ4YipA5czFDNALQvwsp9PeEbgt99iKGWc3BoroCwERkckUMrWDNT2kzvWooAIcdNSJWSAsMLaypaMTsG1AZ6DFz3O4O+UY6d3ZtW0cfJv/oSNt0zGpN0qN9A6f1U5ihFL0nEix0cPGQYIgXBdiKZ0DgYjijf/+H587YYVCAK536460iysaJ3AiyKd8bXz0Q70N+T+x67g+NV3GNx129DNOa7fsh2f7kuASBFNeBAG4AWhQCE4DCMrv4wqmY0LXnQBGlvfAsGKaPIQNeagyaRjzqMkx8fNADy9+ODHMjyVWvf6sM5F5sWcAniKwTuOLpfPQdw0IUQdpWS7w973A2w4599BkeTEFmghAXg07SRqFsjLrIQXIwK+/Hp4N/w7AGDd0Dpc9PhFqW1SQ1TdQDtEs2Q5yVq507afnvJ9AMDm3UUQGoCAGIGDonKwsjXzbCXXN8+chl2uZnRq6K9JR+WcQ9JiIYnzTsAaSQ7j7t3TTJvznO9m3ETBKaTqhtk5glUUjNNrGDzL+f3YpQ89q9pTmsHT95rm7JsSWVEOv85Hm1WdlWwo8lU0NYM3yZPzbl+zL8XifPz2j4/dQN1HYyhxCgBFBJi38RJwzqRwiAr3c6hjQJKRsSdEXmFWETNuIGQhik4xYfAsQDDYHMxVZgxYkAL5N268EcsuXWY+2+BBAzxOkFKTzIaCAvLZ2Gv+GxLmPbaAWMPKFRwv10lAgBCCdr891U59PT719wngjeiwbB7itMtPwymXntKymQ7RfLYAT4P1sVQxYx7nHi/LGnPBU0Xu5/hzzPgci3X98v1fxpuvezN21XZJMAwCIkRrmC/Sz8jeAN6NG240rCOgrp2FKHA5/5zzp3PwwVs/+KzLi/zdGbzdK8B+8iIAMItQQPIM2DmszwbghSzE9x/9/l8W6v13tAmAN2H/VLb4Rx/DwpftAfXlpK4BHnVE8hZ0HIzH4BVLVbxn6XvgamCXU78pz9rPPFPm9ymrFtxE5IVQqZrJAZfHIC5VIZtIhaT29pycOib1HZAgNE60W5J/eBU10QuCu/hSlISAq0oFOFMZOCcQT19pjuNWi7lsl1tU+UUsAiUO1s5IHNDt1aNyr9NhQHdBslrEESBuMaVAqo0IjuOWTMXMNg8e0uxjNkRzrJDNYpBWrGswuXJfhHwpb7s7n+39FL0EBUQpFpJFFNwSpvAt58m3AN7Bu1fhfTcI7He/vP8jUxKAV35MOvZEsXuOpXWhGbyIUbjq0LHrY0FZibc4LkQkXz59Sn3zF/dsNPUP99Q5XKu9dTgtrEexHmOupcTOGg6G1TEPWyVrSh79gHzBz45juJZjt1BsgS8EtMvyxT8sx9WPbweEi2bMsLhrMeKRQyG4hwaPUOcUMQgcAG//3Rr8+tvM9AOQqIq6KVDq4hSe9HHIohanHJDhbBGAI+kaTGJ9QDBsABwRXqpGIQC4QiBUXeNR32Lwkvs2r30ernqVFEPyMvtXX/F+rP+Xz8Eb3o6xjKdCNHXdxsiwbhUrl+e69de17F957HfoKU4FIQzEHUFnocs4l9N2A36NtobxZdp5Q1WGeu0aHcJnrpKFq8+YfwaeelciUKKdPC7SNSB3Dcpwz8FGM9f5DlmYAngudeE2E0fvA0ve0yJtbzu/hKSdy64RATY6di2zZtzEzmavcdLzGLw8gKcVJXW4KCBDWXV7KKGGGdUhcN2OnAd213fnlhzItb0IRwgBnOdegiOf+hLYqhvkNaj3hUOcJETT6msGmLInyYVJVtGjnhH/sR3mN177xlwWKeRhLtOmQYdd5FyPAkFkuOefN/851bbxVDS3jGzJdfj1d3YbXrXuV1j6y6UYCob2HqIJWRTeZvC04qXv+PsksqLHTjCGEA6QMKuU0hTQ0pbHwgEJ6LXH+OqB1fjy/V9GxCJ8/t7P42sPfq1lvywYyI63d09+N+55yz1wiDMmy71qQNba7Gv2yfareZbn3O9nE9b63Ue/m/qsGTxfLTBpBdBBVTt3X+3vLrJy/w8QD24CAHzkkPfjcy/8XOpnO2R+n59/AL9b+Tv85Kmf4OdP//yv087/zzYB8Cbsn8qcagnUE6CmTIJ0BAgFypPlRE4KFtuUA/AMKNPAbh/KNuy/4hnM+MbXTUimSwlmd5dBNBvBJR0jOHDwlAo6qgUQCjT7fey4LXl5bTn685m2uBDNwIhmdO9Xw8zj+tG5UL5kBAe+HL8dd7DDjePtTJ8HcIK4bjF4JRc8B+DJEE0Bn0WgxIVj+YXlID9/wGUACSOACNl9YzB4TgxUSzJEkwDwLAdv6YbxGT1tcUZUpBHK/i0izNObMXZa/DCKJEwVjecRQe+oBeqs9VI7RHNxfyI0UPcJNnEKRgGXCzj90lmJ1PY0BlBU+WImRBMGbEduAUWmFBMdB0Llea7YkTg9BZULuKsm4Fo0EuWtrMfkm1sXG0YCCfA8XxbxblufhKXFUw42fztEoMwF6mqhY7hu1TtrWo6F8NHgEUJ4iAkBFcCBK5MQGAPwMgweIHOlXhZR/HrXAI6vN9BkgXHksnkquuZbAQEQjCY5IsIzIXmm7QBqukh4wwNRDBtrzDPb2CUJfOtyKBcgjCPqr6fqKGbNHisvOlCGYAskq+plC+A93fd06/4rrpHHIBzEHUVXocf8duYlPj77U7SEaGaBrLZYNAyLmC1lYRgjTpB6xXMfEBS7R+u5wECLrGin36c+xOZE7Kc61DcuwANNg5AfXciw4TWvzW0/IAU7Tnvy2/jvbinARHLKPuSFaOqC4ZPLk5MN1SpKwAI4xDH32gA8NwF4p16WlN6xGcoWyzqtOaC4ncjj84ZkCDRQcmjCknHBk1p5BBBZMKIUXnX5jpjHKSd0R21HLosUstA41vbY1s75jloiCqbXLgUBdjd2IxYxRsKR3Bw8m+HbXd+NM648w4g42WYAntUvvUxe2676Luyq59f8031CCUVHoQNP7HnCgFIdurlPxdZ5DKZFh8ZhWBhncKk7JoM3luXl4F284mL8ftXvce36a3HNumty97MZvGbEcM/69KKRT3x41ENXscvI+GfNruPIuWTwqAB4DlPGODNz5976LHs+z/GAODQhmrqe6Vjtsi2v5MRfYt955Dt44x/f+Nx2bp9l5k5/aBtmtc1K/WwDvGfD4H3r4W8BeHYlSJ5PNgHwJuyf0ojKwaPF5MWowzSrJ5yQKHmOB/CcfQd4hBAQQuAoJqi9pJjDssx1EzGXZRI44PAY1EucxcHHtPxg1azod+0nQQH1AN5IQjQJFWif0zTNFoIghotB0WZYsJ43SPGD0Z2y/VMOHQJ1AZ5Tb84pcMAhKPBIKpFZPk9RCYKMZOo+uRwocTcpuu54rQXlAVQjAUI4xKB0RIgFVhYNpF8YXoyUzLe2Ht6R3u5PEZggksEbZ1GRxALTSL9kTCdLB5NFFMM1K2HdemnZDN6U0SSsZt1UH0J4EuAxgIxoYE1x/HKOtl4HQgG8qnLswpjAV++L2CuARqNwwCAc18h9FyyBF83g7azxFMB2uB1Qqr4bar2HcajVTeT9tlnLZ/akX1yTLTEVar0eNvYlYF5wD00eIxIuGEj6JSJESw5eCpwLF+AxDuMOykIg4JF54doA7+hVHLVQlwQAsOIai8FzwRqz09cthHH2KqQIp7QFxBlNmDxkAF6UjKU2y+cbqwDLaDiKO3ddnVwGsYQh1HlLFsDLy61p9nfhwDUhAAbqjKKjkFaW9WOMG6JpG6HMsIg28AQSB4YzmmIAhfAAOKiHYS67osskVHprIFzAd3yIMAEWpXt+NG6IJiExWDA5dcxoS1rVz85bsxUZAWA0x4nKY/D09XX4ybMvLBVNhziGwdP3odPtBNAqajGuKEUW0GXKEAgAkQoNZYoZsnPwdDmJWMSSVYYUNYrC9HF4WMdAc8DUJGuwRlLoXlmeU2oDvLKbiDLl1cwzOXjWFDoUDOXm4NmFzjcNS1bk8T2PtxxTL8ywnLHEOBtX0dHUDHRLiHiE8+48z+z3bACetqdGNo25WSpEM4fpK3vlnL3yQzT1HJXXx4AUr7FB5KeveBLn/DpdjsMncixUvWpqPI6Gowac2wBPMnhyMS+v0HnMYyOas7cQTZKZX2SIZiKyUlXRQvsC8GxQNxbAq0U1XLLyknGL3mv7xdO/wIr+FXvdLteqk030g+NXU88DIMuQaBuvdMpYNhbL+3y3CYA3Yf9kJicaw+AVitmf4HR2YbwQzYTBU8DuWRReb1cgsqYcN1qRLwwRM4kpBQEPQxDXaRExgVuAqxL07+qREtzRcIBgxQq8YJVqPNXN1kkXwPffcjhOOaDHiKx40yWTo0shgMoQVdtRbH/lmVjy5VNkiKYLFFgIh7ipHLBiXTohNS/tJJ239KsoCxfcsF4il8ErRACh3JzXvtqTRxugXnIyjwFf+G3rS2RTXwH3rE/nMcRwUSBRLmDVRgKBs7v7wQIHbo/Mz+EhQcwTR2fGkFyV7yTtKRXNw+LV5u/t3RS7hzkCV4I2Eif01ceuUfmLFoP3EvogqEgUJXcp9ck21NEUxDB4RSQOna8B3iiDywUi1USHW46bvq6cS47UmHFUmKxWSAWAoSgNEScxhqkDKpTXCkncNmA5RtxHQ8SI4IIRAsd6eZ93Ocdh6+V1c1V82mbwwF2Zg+SV4QuBJg9bAF57TeCTV3IM39kJANgvXgP0rbVU3hw0d74K7aNvN4f1FLPpUx88kKGLxemXGxAEJIImAODFVs6t1YdZBm/94HrcvuV2XPj4hanvOUn6Q7uhhUwujw2QvUigeg3w0Yt3S+aNxvBpK9satdy/fAYPgKnFt2JHOgzyqW3yeeDcSQNExeA14zDXIQtYgLbBEJ/42iq86S5Zp8wGeCOctqiMphm8CITI0DsyhkNnO+32qjoAbMtxvLIA7w9r/4Ar1lwBAMYZldem2sUiGeKnAJV2VCtUjq1seJauf5hrguOzk7rxX4phzErxCyFQo8AlbVUwBf5sFc2YxxaAks/etdUKApVnq1fA/mf91ehr9plSCY2oYVhKbWPl4Gm21QYpeQI/eozbYbD3br8X7PtHyO9z6uAN1kNc/oRkou28Jm0ayIzFBo8l+AIkAE87/roWYyxiONTZtzxA6/evbrtp7M1UiKZDHCnso8zcqzHKJJgQTWsRI7vAkbXuYncKQDy6edAw7R89/KP45knflDnCkPfMBh6nXX4aTvz9iQAyDJ7goGohLe+5jUVsFir21mdZtl+raOocYP1M5dVdzFoq9HgMgPeth7+FrzzwFdy34769Hu8vMsGNIrRLnZZoEFuF1s5B3FcbK0/z+W4TAG/C/jlNswFuqwNFy6Vnx+C5+w7wupS3yzy5r2MDPPX25fU6iOu2CoS4RTjXyry5XVS+cIMd8oV17EodrqVVVuQ/QgBtBRcxhg2TQtvlyrfOuSNEgFKeApTlo45K2E0H8FkEh/opBmnWLTKfqeamGbyv/2ED4maAQPcPoap4fNpETEBEaGL5CAPOuUEBjNhJCd+4DFiYk64wFLehnaRXZSM4KCIcF+A1b3Ux47fXy/6oKsXNiEJYpQ8W7t6J32zfiZs2LAfVq4OUYFqUrG4OVoEwctD0k9p/8uIs8RYXaDg+Dow34Uf+d3E8WWEAXp9iHtpJHTUGiEgepN0Ct9OrFDEo+gdGcdDmZBHeYa0qmnlZ+KPqpd+u8gLtfvGL6ZXO/TYLXPBDhpOe4rC6H8NWLpYQPpqCIYSLOMPgHblW4DX3KbEVnd9jHUcIVzIhflk6FSwyzqt+Kc9R5BfvlX1TFvL+agZPCA8imoRi8xhz3KJqXtWvGmeWOHWjdglkGDyLDbYBaBbgveoPr8JH/vyRFmDQFMmigmbwihlHcXopYbO+84g1RgkDwBMAaJ0zm4OXDdGsNITZnjiyTc0wTVVfv3yjbBeX6/7aHE4hhINmLNUXs45txCO0DcuOPHKNgEvdFMA7vBa0FIJPAQ8SAYRBAChYX3/juuV4yX/f2bJ9Vvp/C0vYjP+87z+x9JdLUyIUEYvwH/f8B3bUdsCnfop90wxeyMNUiGZ/sx8ltwRPAazd9XTtz8J4+dOC45q2Kn7boVSMM8W0CSH4zaxt+MqkbjxVk6Gs2hHUIZrG8VVM35cmdSMM1FhQ216/7XYAku0oe2VsGdmCu7allQzzAJ5dC9EGeC05RkJg6qD889+P+hR++dJfyrbc/yWwWPZ5Xh28T/z+cVz5xEoA+TL/GpzE6hq/uTtRsAxYYBZu8gCUFlnhSAqtDzYH8etnfo1aVNtHBi95tkvR2ECdCw6XuqCEpti1rNBM1vJCNPcG8LqKXakcvGYkn3VA5oy+dP5LzW8Vr5La1gZ7GuCNhqOSgYScRwVnCFnYojyqFypiEWPNwJox25fL4FllEqrevjN4dojmWOfrb8jj7Es5iL/IWJIL7QrRMl71IgQlFLtqY4cOj2UTAG/CJuwfwWZKuWz0LJT/2g6ddgyLRSQMXitIaGXw9k1kBZBACQBeecwCAAmDB0IMwGN7euF2lVMAL25SREEB9I8SVEUZUNnVLgsQk0WnqMPJY629Zhqc0WF0FDqSHDxVl0szeIRKJi11jY4j4z8BCIegwGIEtJIK0Sxv2QAAqGcYPDCGkeE6Ykc7DQQkZ4LkjIDwpkl1WbwZePHjAmfdwhHGRVBruTlb4kFbP+tqybWLFcATYyhoanOa0mmiFflS23ZPN8RQcrAqj3BoEKIsBI4YkCIK3RU/YT4BDFaFFB0pCBQtH8wOSZnsDqPmldClXuDHLe/Fh66TF33gIll6oA0NMOpAxIpts1bFizRGfbiAH/9O1oHz9X3MUdEkOYTPKI8BARyz80+ybdY9bCI9dtuH5bUt3SgwF4lzPdSIUAtUm7iHhmAJg9d6SgDAropcSHCY/Yw5EuB5ZancxkOzQq6di2nDenVC/sPURRmAx1vHUlE1reyWkzp7RKQYvLFCNG1Ww8uMJbMNoWivCZx9M4PDBPbEK81viXpnul3tXglT4hieEDhQFZjub3dlfiDhyeKR5aiOF6I5ZUDgF99leNnDCuBRJdqTCUVe4GyUh1WATpvLZchmEEeGKclauSb7iwgJUmyANyPgiYOrxmdvoxdTSlNUeyIADEf0LEstdtxw7b1YH96Mz9792ZTTng1za4AbVuDy1ZcDAP719n81v9tMiu/4afbNFlmhicjKQHNA1kpUICOrWjguiMjm4LEANUKwRS1W7YjvRm9BOv/98ahpF5CIrJg8PJbcx7ChnHpd+1J971EPZbecq6yYJ7ISsMAc3w5J09ekr/nV9wmzALK0+6DUc8ChF65ayyQ8tW0IxEkAURY47qnLduocvE4rvNsGeLGIW8oXMC5ZNQ0SAhZg5UDyTGWLkueaBSo8tTC3oGNBy2Yxl8ItDnVygcje8sfyWLGx8rja/LbU9s2ImXxgJzM5V7zKmMBHj6MmayoGT6YwMMFw9k1n4/jfHZ9qvwaEawbW4LXXvBbff0wq9g4FQ1jZn/RrFuB51ANYYHLwSuqZ2heAZzO3tbCGFX0rWkRj9LjaW+jo/zz+P7nfBzEbM7zzS/d9CUf+WvlzLEoYPBBMLU9FZ6GzZZ+eYg8GmgMt0QNZ+9oNKzDv0380n8dThH0+2wTAm7B/Lpu2FPiPPUCPlEsXqfotSq67aDkOf6UcPG1C1R2b1CNBlg5ddHs6UqcqzOhOMS1b7ugGCy31wQyonORLRs9pq7Y023nyUXzuhZ/D6+e9EgBAq1WAADxSDB4VoBkFPFDHFHwXjgzRFEKKrIRe+iVBMiySKxhwy42gOlyRkKRwHwDWqZikmIDwhgnR7FB+T8MHIuanGLxykD/J9/JOZN/PERwUSIytYyhoGlMhiMSS3ad3JhP/DKuLz+n/JgCgp+IjCq38yIoAhIsaJqEnTnKqAsuxJlQg8DwUlJrlcfcnq69zZ8g2nnHQJMBxIfpl3ooN8CokxOCW1jwRytPsGADQLulcnHe2g1++SPZznTNMGXYwulWOa5upbWayzoRCOKUQ+G/vx9AoK2ICn7z8CbkN9zAQRajBBQdSIZq2DRVULUX7EaOhYvAqqAiOGgtMeFbFl4sdk0cVkCvI4+4elv22XIsfKWfePqsGFFW/atXZEyAkcbZsx3a6mwic2IsHY4msXLb6MrzzVo6XPSJw9GqBSCSOWb8K3y1mmGwPDm7dsh33V48D1JiJXVULBQJUQ2PL+QmzaxLCwejq/8DinYfgwh/KgX7UmjSDl83BO9SVCnwsE6LpClcqorLQ5DplrVORCFRIR58HiSPLY2JYs2YslTjXDq7FIZMPAQAUpl4DEA6fluH1JuI9XcEIitP+gGvWXZNy2u3aVNrGqr9WdIqp0Crf8VMht8Iqk2Dn4AkIVL0qHNXXNoMzv3ro+KIbtlPHGRAH+OjUyThj9gxELMIATxznPpUz51MtouViIBjAnzbJRZXYCosOdA6emhOFWUxMM2Vz2+cm+4yRg6fBic1m6j7m4HjL/m/BcSuSB1DEDPt37w9AgiF9hXmFzjvLvllEaMSNlpISP3jiBwAS57fLepcGLEiB57NvPDu1779dsA1HXLkC+3XtB0DmrmnACCjwE4/P+gyMJr/HVLYhYhF2jO7Ast8vw/pBmeOphVvyxjswNvjQY9Hue32tAQtAs4sxUACP2wBPPusAQGnalxgP4NkKnrJMggzW5pzhyT1PprZlnJn7r/Nan9ojVXXPuvGslJrqWCGamsGL1djJBXhRA1h+NXobvfjNM79J1b4biUbwxmvfiNMuPy33OvYGqPRYsm2kGWHJf9yI79+6NnefS1dfmix88MiEtztCwKEOKmR6yz7dxW7ct+M+HPe743D12qvHbM+P7lifyt/OU1/9R7AJgDdh/3zm+gBNswSpP6mzjyGaGSZvH4wrgEdLckL2pk8HbWvDtHNem6ISnNkHpFQtw1EXcTMBFoE6Z2WRBHR8RE6gbmdZNTs5lt+3Bx2FDhxQlawl9X1QzwHTDB4BCE2/5IhDEwfEIfBZjMkDIXpGBGIv3SceS+87d1iu4pVV/TVQN0UtDZ0kQ54EoyCsDsEJhABe1SsR3ovjUXBGU2zU4evzHe8g6jBA1fSVAi3B0L4lRtNC/v1z41analK1gMjKW9vZxSG4hxrpQXecgAZ79V9wYFFhGwph60owUWGwZYfLUD91ma4lslJEgCiHtXI4wDL8GYkJehd0YMM0YmoWxkxg/23EhMLaAC8Q6WvX46YcyFCXHiRg9LHNg3J/4WOXx/H+hQ006dhZYgXlONkAjxAuc/CKHehgHBzCOMEdNYKzb2aYpFhUkw6pHCxdIoCr1XobixVUTl05tfAhQNzEgdrYm9zPyVsTh8NW1PTHqeOmxWMICJhIjjWknpNCZVJ6e+UAvvPR/dBQOMJhAiByVd8Et1orFM3sfCMcCFZFOU7uk8kZVDl4cYZo0mqijJGUyArlDgT3UQtrMuwrh8HrZLL/OJFOv7DGrBA+Kq68B7WohnpcR8ACLOleIo/v1mQJCDgoWY+OYwElm4naNdpalHqsHCIdgnjQRo6DNsn8wIatnCgsBo/QFJgve2UQQuBTP8VC1RvF1OfHdz+eloe3GbywBsQBHlTz9sr+lak8wz7lqHvXS7EQ7dh+9u7PAkjXUAw1wMuIewghDBNXdst4xYJXJPuMoaJpwgwzBcK54OCCo6vQhYVN6zxc3vcjphyBnlKPUbrNC9Es+9QwePWojnu23QMAOHnWyal2aCDUYc0EzbiZAkYbhzdi7e4RXP7IVgghMHNnhKU3rMZ7D34vAGBx1+KUMFF3sduAjHpUxxfu/UKLcNFPbk9qTWqAF/IYV629Cn3NPqNyGYsYDnFSINa2sRg8Dfzs69DHbMSNzFwjrepVU2OcC2Fy8FoYPLeSK/gR79mDymBgzq1FVgSAYcJbtxexGe+6ffpa1w5KcKRZMEIIitZiqUul6FVBCDQJwR3b7waQiBPtru9GI27gzq13YunFL8CeK8/GZ2/5ML7+0NfxTP8z5jjZcGttGlCOVdAdAKJt23DB/8Rm3tfWX5P9ePmjY4v1GEsxeNI29bYC965isgj7uXs+1/J7yqzFwWdTWuH5ZBMAb8L+Kc2sZOWt2BPzv1yABx16+CzKJGhzp0qv250mV5dopYIlDz2ItmMPT52K9MxN1aVziwxxkLwguAKXs14r5YCjHVKJ0m0vW9cgrfqzCxFu2gRely9rUiqB+E4CIGma6ZDfWSGahMARDF/68QOY3QtEhfSL6pY56Xp45exk6HiAtXp51AFJ/SqiVml/PvvrOEJN6GUIBfAE2mbJNp+xqhN5JlhrruIO0ZO77VgmeL5T3xa1rmL2VP1Untuubg4IDw23ANq0HU5LQjqkcHwBP0q/cBgBHJWLWXJkNopmYxzBUFRAuiiaiHLk8mU+ZGZ8xgSioACuYlpFzOEya+xYAC/M7K/DeIuBgAtgLknyFfpqerU0Ac7ry/VcBm9n13QcCMVGWj4JZQLgEdA2HR087axM+u1deNkjAsc/qPpJtwUh7NGZBTRAAtJ8Rk3YGUicCjF7fGNy4/Z89b+Sfa2D2wzeFK+99USQK/GxDfAUg+eVMgBPzTEN4SNUj4TLZG4gwECVwyes3C5d9FubUPfHsR5ozZgTKtvAWLr/R9WzxrkLPT4WhSF8cID7GI76pCw/cfGT03+CA3sONPu2qZBdhwNFzlMhmlz4hmGqRTXj+HYVunDElCPBGrOkM8sEjooThUy/lIgS2eIhwooaoKrfxwqZLLtlTBoS+PzvOD5/MYfv+Ni/Y2FyrGwdPKv8gXZ+fcdH3WLsPFSNUMmdW+/EO254B8750zn4n9vXYWNvLQ3wojp6rfy9vmZfCrj2KUfdb0pHNgue7TCzWA8GdR/1UfaMNkz/utTF6fNON/u0MHishJAnKpq2CErEIgP4XOoa4SZAMnj6e8aZcYqzDJ5sHTfPz9aRpORC9ro0QOqEtQDJghZQevp/34lzL3sCwmaFN2/FMdOOQT2up5i07mI3eut9mPfp6/DjR67CFWuuaKnh5oAZkB2rBcq4OWjKM+gyGpxzONTJXdAAxq7hpvtQj8n1Q+tN+OxYDF7ZK6cWKRxKACvP0DbNlALp8bHmxJNwxieuNOfhgsMRAoOOgxtKybjW7Yt53KIGm2XqNOg88ZEAv/pOIqTlUQ/gDAUh0GfpEejw6Rdd9iKcdeNZ+N6j3wMAXNTVadi4sfIHU+dVY2A8BmzgssswdRA4+an0PGYi7XP6ucWsHDx9FYK3AvD7d9yf+jxebqC96D0Sjvz9a/09B5sAeBP2T2o5AE9PKPbkmMfg6d+fQ4jm5A98ALMuuhDVE45P/+B4KdaNtE1C9/7JpElckVI/ZKpgOvUAeB7AGGilYkRjvEp6VZINDEjxlnIZhFLQ9m4wodk+gGYAnj9ndsJQ0kQwAwBiP3kRPD5pIUb89Ep0Z5hZlXR8gEXoOXAEM4/vR6FQRM+73oa5p/aCKGGFYnWSAWqCE/SzdtRpET0HqhpxtfQx13XOBKCLOSf3a6ijDZvEVIwX8k8yFZVFnO9Utik1OsETX+9wsQKEC+yey/Gfb6GIXQJwDyN+GYVRW/kuOQcLKKjH4Ufp8wgCUAWiC4SDUWLO4yFGSZXy8EWAOAfgvXNwBFEmh45EBHFB1QBT7/w9gsO3wvhGtpRQ26Vk2wWFEMn1aZZK5/cVrHERKmQleDLeIypahV4AsEJRL1ynAF5B35f2Gehk6RfmkFaW1deixkMRIR5QzMkXeSditZ/tFPkKpFcjFwuUYjpx006HiBPARqww7KWbrFxP61LschiApURIHIyyhH0aUoDKzcwDrtq+Cd88uy4noH6vCv9RIbQPP2L2iQkBsZUvhYOS55hj2e2AckBYppSCLv4MQTGlTYXJCukQ0+IOcH8z7tx6Fxzq4IXTX4g3LE5CuHzFLk2NGCbRQgrgCeEaJq0W1Yzz5js+2v0OteLNUK7twEFxAoZKnUloZTYXS1tZzcdjAbyOQgc+co1dwsPFZCvvbGZ7JwDJrGTZGg1YfMdHr1V43YWMJNg2ug0fuvVDAIAV/Svw9RuX422/vDrFrCKsYbNVV64e1UGt3/uVOqPO/8wKi9guaqT7VE9S6sc1u0dM/zLBsKBjAT5y+EeS86VqGpZSKpqv2e81SVOtAugOdWQ0htlPCR+pWnd6rcdur+6vMI5NbcNNIwlgFxA4bsZxACR7FHEGRwgUHQ8XVWRobh7A0w4y++N/mO/YwCBKbgn1qJ4Csd3FbgUyOB5dL6/lmrXXAH/4EPC9Q7FucB36i8OmX/X0FrPAzAv6eHaZhDwbM0Qzw+DZLFXAAkQ54cQ+9RHy0LTBocQweLqP6dAQhBCpHMSx2vDjJ38slWFzfrOvL6sGSzN7BCxAb6MXL79dXkO3CmDwqAcInuQtKxsKh8w1PNP3jHlur2irYlcoFzFs0DZWCKYpbZITDSOEwM0bbwZT4Q2Rm2Y5uRBw255EVHykZV/buOAAj4zYlVmkU+8pWwbsgO4DUvu+8OIX5h7ziN2rsN/AJvP5D+v+gFMuPWXcdjwfbQLgTdg/pVVPkQ9rdZkKNzn1c5j0iqMAx0HxwAOtLcdZPdLAZjwltowR30fbi17U+oPjpxm89smYelgCGAhJy9tzHSYqOKgu1u77JrS08MpzU4cXQoA3GqAq34yUK+AFyaQRKkAsjqT7Xe9E6ZBDgKY8v9/WCc96AdkAL3I8RFpcQjmW3WpV7OalR6vvPaA5hCmHjKB9dhNwPEw591yUp4Qgdek0latdhlniMUHVc/EYWWTAmB8GaDoJc3ThIa9R10VTC+1BsYQ+0Y5G79ige/bJmdyfOP/l6kYBhjcXsfLSGVh56QzsR7birFUfABjQaAOWz1PsyOQubK9MQqmevOTmdybOJ3VlCYpyLUBzMHGkOAVcBfDqzSYIgEafD+EU4CJG2VeOqQjQXkjndwHAKD0Gvc4UEC7woT8yzN0lpDJpuwxDqathWQ6AIT8NkHufkc5tLAh6n27DyktnQDAYlVStuePkFRMU6dDXPH0xUSiACmBJEGJ+YYn5XquHotCGzkyIU5+fKV4ey9DdAonwgWmS+e7mwAlrv4FX0PvALKdEA9Oz/vNBnHM5wSeuYoops9oUt+O+dX3Y8LrXm1xYAHjznck12oXkqxmGUc8E2VwaA/AyIis6RLMJ34zRSj3E2bcGcNxhUFCM3n0PNp/zEbPPh69hoFZe5OGze/D9txyOU8kTyJpWCGWqzc6AzIUbNQDPwXTF6DsQ+PRdv8ZlX2/gJQ9z7KhtN8yWXePJUUIZRSaAuJECePWQgPCkgLh2MAtOAS4pyBVvwhGLAuYGyTNlA/w8AREAKIvxAV7Fq+CArcnnLf0R6rXkeXOJdHAbccMoJmrT1+dRD5HFvBIu2bKHdz2cPtei/8LwpP/CZrtQd1hD3Vrtr8d1uNacWFft1s5li+qelc8TqVzcSCnm7lSiLQTCALw4bgJR09yj0WgUFS8pCyGYZIo0QFjYsRAjK78oj8sjAxhc4oJYrLBQ99ehSgRGfU+3PtjSXwGPWiM7lB0zXSrYRiySAEoAcHy8kLaDgGA4GM7JG5R9I+7/efJNHMFzZN09e/ueUg8EOOA0QHQ9Oh4Cj/0GYmAjXv2HV+OaOStbHNgYwvSJBmQ6HHksoYwxQzQVgNNA1QasjbiBSDDMjGL8evtOzKzKBUfddwnAJvChxLwIRePp5Zh83qcxdOWVcIhj2po77tVYWjO4JjdKQrN7XPAWBi87R4UsxBlXnmEWh7TIlAR4DIXM4YeCoTHzU7lqi/27HYJpL7xpNjMvh/SBnQ/g3+74NzyxVeZgB668F3p/LgRKsy7GaMcvc9uhLeaxZPDUZ0cofyeQwnMVVy7sTeUvw/++9H/HPZa2r9z7E3zv1vR5xy2p8jy1CYA3Yf+UVlp6MA5YuUICGQA46VxUPnUpDlj+NJzOzlz1zHmX/A5T//3TyRdlFQr4LBi8Mc3x0wxeqVWWes+fZW7b9koPGvp3wQ0bQXzf5M3RUgndi5MVR9FogNfrprA68XxwtZpNKFBoT15e1ZMV6K1LIMSK7egMkmMxP3FeTj1kNv7nnBNVo2WfdYbSEVozfZa6NhdoWjH4jmdAsb5mz68YAMtjAocxhNTDf/PXm93qutYPcRArB4pynsqjJCAI4abAsG2iDShPSa8sV044MfX55weeIdvBCAbWJPfhPQ/9EYLL75m1Kv6e4xdj0pKFqWO8ccqxiIseqMcx7eghNAfki79/dXI8TgCqmNhmEGL+wA7wiCKKqnARo6SAtM+bCNa3hrg84R8OwMO0AeDkpwU+cRWDiAmmTZsDAAhKcv9KEyn1UwDwSkosQLjoWyEdRxYTuOotqZ1yN1N3YdmSySkGDwDy4DEpliA4cPn2nTjGOdJ8r3Pl4Bawn9OW2mckT06dqaL1yipxhMN3XIoL/QswI0pyMzwmUAoE/EC299iVwijJRsOHgAeTENf2w7o9o2guXw4AoLPkeHp8fvKsu0zgrbcxXPq1GG2Z0EftHDkqNGn2bgE3FtjjOnBA4WXmgWo9xqZbe7D/9k0pIZQzHhaY0QcAFOHGjal9TlouQCwAfez8KegseziUbDbfmWlChTjGamGkuus0zI4ijFJdTsKFa4QHgCV9EiG950/y5mohkpIlDqOFkQQnQNQwZTsAoNEU+O+b5ar2usF1+Lc7/g2ABngeQEPZ54yhzVIptQHeXhm8MXLwsuxLFFHURpM5xaPyGpqsCZe6IISY0C6bwQuVoymEg2e2yWuzxT0AgHoSOPZbrEQUDKcc2npUh2MBA12k3RdAzHgrwKPJdcWhZJl2sBhbiB39IOALS4b/9q8ZwDASjqDkJs8Li4spFc0whsm3DJWIDqAZvFaA5xJXMXgqJHxPEkabMHiRYfBsG23GeGi97PuIR4gFlyy+48OHwKy2WVg7uLY1b5AIEK8f7+2ZmnwXx4ZNzDJ4AECdGoQ1B9UISYVrZ2FPhAR4aFZJK3bapQVsGxP4qe8NwLNy6wIWIBYcZ47WcFgQ4tIXfAHXveY680zpcexQgo96sm6jE9QQrJF5g/UHHwSltCUM1LaKmvI3DG0ABfDKkXREgi1kU8oIPGUZvGbclDX11NdaVVXm4LUyeMPBcCo/0GYvtWtkP8s2g2ffR1NOJUcFVl/7wJBS3lTH1aA3jFtBbZ6FLFQhmup5Fxw/vGM9wv4T0dj6dhzR/WJ1PoKyV8YPXtQq6LIvNm5JleepTQC8CZuwXNMvxWSSKR12GLrf9a5kk0i98EtJ4u5ztriZBnieB3z0cfOZBRagOO3fwXThcM5BChaDd/zHsWvKycCRZ2PqZz+Haf/2frlZvQ7esAGeBzak8kV8Dr+UTObOJJVLpAUHvAImNRJnihUS54UUCvCVcqdecaw25WQfe7oidwE48NXJtQaj8i2x9I2JqEfMMLReto0zAhrHCB0XV+EEs1vDly8xKjiYWtUt0HSBdiKAQHgYWNuqOgkA5BCSwu6LP9CDzje+IbXNbbOOQHFSLMssWNseunUd6nt8gBMIy2kquAV4bWlA3oECXAZ0LarBLXDMOkHm89ksLSeAo3KFZnYkfbru0gLqj3goK4DnrKsjHpbOfPXUU/Gd0z8MABBRDBDHhCe5XILjST1zcMeb7sDrD34rQkcqkH6kNx1CQxwBnPJZPCkWmP4TMTXOuB6KTgbgHbewBx7S17rRd9FbTOerdU/uNMel9cGkr7Qf4xZRsUQmLjj1ArSFM81nzT7ymKBguXTVgQTofLbxffO3w0lKLMW2aPAo1NafC/AiplYTEObPktcRW9hh8Kl2vPp+efFdQYbB09iUA52jAt/+GcN7bubY4zgou0WQDAiZua6G+p4CTtz4eIvSJSBDh+x8JG1UJGPhZZu+CUoIXMsB69IsK4lx9CqO4lYJdA+bUUFRiCREEw4qqp5iSzkNIbB0lQQaizoXJefWYbhMAjyjokkEKBNYsWMUPi3gqrVXYc2AdFY9x8NIk5jC64QxOFZebB7As8OqZfvk57xQNZe4UjbfwkxCOKivX49LvxbjsHU8zUKq+6D/1b/51EfAZRsbm99tQrjGAp12aMD6ofWoW05sPa5jlCRhqDXF2HgQeNn37sLRUzIh+BYT1hsO4O5td+Plcyfj1x3WIgfhcLdKhURGCFDbYwDD2sG1KNDkufNpJSWyUg8FABmuLkFXbK49NSwtBi/mMSLV777FputQwpDFIDkA78GN/bhlhVz8i7hk8FwBKabFGea0z8G20W0IWIADew7E2w54m9qTw+t4FKG1+CaiyOSi5QE8GWad3Id1vofQmsBZZiE2hsD24UEASR4ZF1wC2jFSqPaVwbOFNjTg0Yxte/9GzGmf01In0iEEh1IpdEJFbCWW0RSDlyei09ZI2icYx+KMSFczbmLbqKy/OLttduq37IKIPr7ueq06TAgBBEvlHu/fvT+arJkqVG8DNB3yaNeUtMGznY+n+yFPpESHeAbqN/1uSPpk33LeIh7JEE312YHA7x/ajK7mKCq98+Cq95UGlCfOOhHfPOmb+3Rs2yYYvAmbsP8rNp4Ii7aySmzvmveXny8boun7QPd88zmqpyfsFx6mmMc5x4AWLAav3I0VB/4rUGwHjjkHldNeBQDgjQZEvZ6EaHqWQ+RzqRKnjJaVI6FYN+4VQS2gyy0GjxQLBjRq664PghGKP7tHAIe9DXjFfwPVycC7b5YbqJAMLPu0uebqtiTevbajiM7+3Yioi9By3Jpadh/CALwitW+RFBwP4aG2c4zJOCNi4VRKLQnpgeuBOkKGjGZDVzbJ/mMWwCtSH6VKRhGPxUAUgRzyWrlNZ4xCRwTWtMJsKUBV2OnpS3oQWSIA9bUFzBqRL1DRzwAK7P/Mcsz+wUXYNn2B/D6OpVCHasrUJgdAQCsVdBe70ea3oV4Aqk1gesaBEIwAJ38KgaXOyXMZPI73nbTAbOM7FH5O8vquSjdWd84ynysd7UatkzWTsTV9u5LPdwuAl6w6T69Mx8m3XmI+j1SUAAkDfCSOX8XK5VjYl4A9LqgJL20xCzAxKw+yWCkipkCnVUiu2esZd7Krkb75S7YqtpknztfibQJHrBYoRqRlHBUCrSIqWkqqAdJR2v3NVkfDBnhLd1wJhxLs4ImAywwFwubQ7fjklRzHfUkyaS5iFLkAN3OXg2Or2+VvGSGh0x8RePsvNmP42uswp31O0iYVrsxjCfAajz8Of3IJ1BWgyuEKovR1rtsVot4kqg6ePIZj4TQb4GmnkTXm2IdAXbOtOUxGyS1BQGDYJimEj/AJCYbOeTSARxLgrhkofT/0Z8/x0GDKERXUMNF55RrOfIDD//CPceAm2fhfrbkC9QeSWl31PSuxy5d928EYRphm8ATW7B7FZfdx/McxSa6ZsAQbHgpXY8uIBOWrCzbTJ+BazCcET9dutNi+olMxEvoA0Ajksw/hIGJJiKZDnPwQTeKAidiU5fAsB1z3V3+9AZCote6kgGELYx4jFkyWJnE8gMcou2U04gZCHqLiVTC9ouTqiVSQ7baINBHHRrXTBnha7ZA4NfTxp8z3v2+rpgCetv23CCzcLsAJ8FSvHBcagMRC1sF7ckurYiWwdwZPt8sW5NCMladfELueBpCw4hpQUUrgKnDvcCuZmxA4xDEg8h03vKPl/FU7QjKHZQtYgE1D8r05vz0dQUIIwdO9T6e2BZAwePbrgKe1mE+cKSNaNHjMmu59zXyX3XIK1NlsXl54qzbdn4FQLKR69GMVIRE9G4BnM3hcgFKCi2/8Ii654Qtg6qJ3jdSwaqdsW2exc5+ODSSLUYVnUe/4+WITAG/CJizX9kG56eTzgNf8GNjv9L1vuzebfTTIKUn4pwFgJtcuac/6r56BN7/0FOBDDwGnfBZEiWromnq2kZJixWp1sFrNFFa3AR71BWApYtGy8qQOfh0AgBU7UsfkbjJt0EIxKdaumIMiizDkVxASH3j1D4BOtbo49SD5b0OpU/YsNAxesT+nuK+d3wcgVkB2decsMAWGZlQ9k2FPaBKi2XIs9dXsnkwumw4VLSZ9Fzg+iCsgGAHLTJEjWzTAS773Nz+ASjV9XN6UL1Qy/SATyks0aFQmAFAdaipi/OmUl6SO8co//xrtQQ3BSgAcIKp/PXXvRCyBnxHd0GUvFOCueBU0fbVaq7aZdJB8wWlBm6Yl3rLpzz2gmRy8w2e14d/POAAvXeDjX5xr4TsUFV1aQQgse5KjEAoURYjAClH0y0VzrZu3Jff2k7fcpjZoS8nEt/tpBjAoqFIInEA4VoimlReXWvQQNF1vzzLbQeVBcqxSewEOETiwYa1O08QJ6rQAHuEC7crh8mNh+md2L3DulRyvu364hcHzm0rljtAWBo8IoK0/X1mOZBxqhxCUrEBYrRzY4uhmwNE7yS04fM1/AwAKGf9qkiq8Hu3YAXeHld+n81EFgWiOIty0CaUZJRBHwI0Zntg6lCqeDgC1QJg6dIBk8KjlM9vAW7NlPAPwtGsf8ajF4S55EuBp0aDtXQCrzwNbLYU/FrIInqWaqRkozWJowGIXfBagJpfUZioAwIsF3vFnDjJQw+Jdsp+erG1BXQGlIucYWvkHs32FC9SVkIZ0wgVqQZwO07Tk7QkTqGkn2BLIYfUFcO2wNM7gWXnHBWrl4HEHIU9CMWuhOr5wpciKzsGjbprBU8+PzEmLEWlhCmvhJFHRZCA0hGCt0RB6DOgQTcPgqaLbzbiJ4XAYVa9q5UNyABzTBpNrFFE+wNPOdGnWb7E5viVpPiG5AO+Lv2H42i8ZHCZMfUgN8LiQKprRwLEt+wH5tRef2T6chBcqcGKrRmpw4goA1alATY6hLINHAKNU6nBmMXjEjE8ueC6YqjatMGeIFMBzmEBtdMDUCvzfu9PvT4c4hmEHgGBkEO+8hRmV5JI9HwiWyvGbXpWAfPvo9pY2AQlo0P3bVexKgTr7b90PawbXpBg/IGFB9aJDWWsPbZH5oFGeXHKOaYDXVO9HH4BrLWroEHYQhpd8904AspzFmMfLAku1oLm1f/xi7c9HmwB4EzZhebZUghsU2sbexisBh74pN1/vuRhZdFLyt3LiF93yJ5SXzEhtR6liCyYvBqgDagBea903DdZ4owE+OASnQ4I14ibOh+PxzD7qhX70e4Hz+8GL6ZA8Tom5ZlIoJADP6oeBvH4rVIF5JwKvvDC5TjUDeXtaZbhD6iJyknYKz8e8yy7Fz171CcRqx/ceOyd5ZzoCk6sFHDAjkQzvPm46ilNoopCaYfB0/uSCb384dV7qcPCYYINIF0vVNfdsgFeMA1QzAE8odUviecABr1TnFqkadJwCoV7R5TH8DC7lfgFH7l7V0i+eKoMgWAwCYYCNCYlU96/qVRF4gBcJswrZubAGp8AwsrUEEUUIuOVgBg4cdQxXtVPX7Hrn4P/gU9ElmL32RlSYPP+CncAHr+P4+i+YLGVgObSFSslca0czR0K7UAW8hGVty7xwI9UZIyA40XvIfF+xy09YYctUUOO8AMAOu1KGckYXka0ImpYj6wegRJhrBoA6LxiAd+TliWPbZq2mewypcwHApGEYMQiznQJ4glBktWpcBpSH8wGeyJT9cChB1cpN0wAvy3VRHmOXJXX+HvcmzA9kw1/dn5YDZ6qpYRACPznVOndy1F0794DX6qAOA6ECVAj4iIAMwIsix5QpAADKYtAxGDwtsiJYmmFvImHwspLrZbcMiPRxZmybBNz+gOwPKlJASMvha2Bhh28mF0pyGbzjp7wKZfu2qHNuRoQapSBCoI1z9Ctn8oX1JoRwjUS7JwR8xJjZWTLtOH45x35brcUCxvDY7kcBALE6zuI9SxDsfinKdryw4CjQhDWgJLmOufF2BI1+cOUkB+q2CcXg6bBD2QYOV+XcmjIJxEXMmQF4vgWqdbsJiUFoDMHSc5sM65PP55b+EazZMywZIOIAXAK8RtxAX6MPk0qTEoBHOAhh6LRur4hjkw9oszwtOYyQoK9BiGlznr3ttmSQbB3ditUDqxFzmecXjxzcsv3M6sxcdumM79+JIE7n3tlhiiOqsL0nBOBXAHUMPQ5NSCQXJoSe8ghCL1BRYvplLGEhm8FzhYBQ4kuzowj/+RuG0ulnGwb32id2pvbNRhPgV1fgFQ8JTFGZFl0j6YUE+4meVpbia5tHNsM2rVRM1FjR5Si6Cl0pcG4/v3qhYdPwJrzoshcBX+gAGoMAYHL8TGmeUB4/Fpo5HRvg2SULIiZDNPtUyaFJ1Ae1rj+MkvGnTZcjybN1e5L29wwJU25h5+BYISLPX5sAeBM2YXn24i8Cn94sQx3/P5kNujQb502disrBc833C2+8oXU/BfCo18rg6ZBMXq+BDQ3B6VQATwFIUiy0VILQxwMhUrTFyXOQ5GRMiwnAKyxcaI47XBhjAj3rWuCIJBzF5B3WWxW73r1sMb779qOTLzwPpaVL8Z6XHQqmVj/LPMTWu7vNsVxC8LrDEnZg6pmLMf81Vo6eCq2csQyYeXy/UUL1T3m31QEEVOX2LZiaZi+12QCvMLwDlbb0Kjd3VYiR7wNnyDA86qQBnh8DDRWeAhYhe/tIuWQcQNtcBX5EHEOQuAVsaIBX8SsIPKAQWaGmRAI5AGiuWQPazJTHGFK5jSpULFR5Hz5rYO0109DzjYvQwXwcHAR4Ed0PADCjH/B4nGqrV5YATwigvZkTGuVXgHV/Nh/LSF98Q6nCfKejC4F6WS/hTkrtLW4mbongHHb1i6IdEylcvIg+glsKn0L3mqvN1w6tgxA71UpgBZuDnHQ5dFj4KBLEqHZq4wRG4MhcohJ8cTnLBXhekO8wOFGGwaMEMyNL/VE9eyyTx0Z4hPlWrcWSEOghPp7asBmnDqdz/fQwXLOtP/X9n55MmIRbHl4rhZmcCITKfmpHvQXgbRuIwZm1YMTiNINnXfvOmnREBZPzQ1UBmpcTCfAjHqVq5QEyRJMLbsY5DdvhNTqT66YinUOmWXEdxh0ITH3/B/CmbTZrSE0Onmbwzr6ZYfa6oSRPFNInJEKAQ6qlzh7g+Pb3ADos233iKAG1WDhPACUEaEQMm/skUvzYNRxf+XXSIfeQ9bhruywdUVNj5uPsLrQhMP0hOykdommrqx7A1iMiBHFNAuaGco4hXIQszeCBczgFdRMUQysgsK22HR+fKmvFeSxpnwFXKqcyy+ARAjMGrn54NWJeR4kLGcGhAN5INIKB5gAmlSYZpopAyDxDa2zoHLyYxynZ/WyZCQDo8NuwzvMwnF2ks2yWSqcMdstoiFX9qySDN0aJhDltc/KLWJPYhEbo3+38UP23RyjgFnHPqu246La1pv6iBm1RzM2j73BmKt4TQg2QTp3fYtKqtWSRlEJAKMZ5fhRjsSLXErY7syhEnBTI4wODqd/n7U6HAts5vj0luTqWBXgHq8W+QOXm9zf74VIXkzL1P22h9LjWjAAAkPZJREFUpFzwOiTDk7XyZsIqKvVMJZJjM3g8E2Ju34uQS5GVPZ6PNsZRBEll1gw11AksJVubwctGDIw0k2O/4zZuAJ4QOX7Q89wmAN6ETVieUQoU8537v5lZYZN2CCVYMuH48+a17EaK44Roui6I74PX62DDw6AdaYCn2b/UPpnVv0lK8p9lKSYAxC+AuC5m/+ynmPOznxpwWHP3LSFZA7yqAjrE8gZpsYAzDp0JrleUVZtfddhM3PfZ0wAAfT/9qWHViCMguAC3c4TaZwAjO+DrRTz1b8cSV5ZsKKuXE3VQXbYMAPDN1x+ijkVaitNqa7rJ/Sk+8wfMHX4g9TsbkSu8tFIxAJk4QMDcxHHwgIZ+GfIYnpc+l1spGyBrW9H3ZDFvxkAIWkITqQrLbfPa0PQJCpEwL7zt3S9I2sgF3vLALal9C3tUWJt654VRCDY4CPduJRITRmgjAX63fRde4R9m9ptWdnDo3IQ5JSqcVnCg3GyCWjKePCbgiuE8XgN7ln7JBuqGbXc8xMp5eR86U9vY+YyIE8eR0DQrJ4SLxUQCl6PXXJD0k09BiAW6KeCItANKlGPRWUs8hlBQA4C1lQplZF+nmsEr8qgV4HHAqeWv3PstAA/weWuIJjJMH+UxvrtLOvxLN3Bgqw8SNwGvDJbJm+PKSW7W02yZLf1fDGtAFIGSQLLPnKCDjLYAvOVbm6ni8xLgEcuxlf+++TZgwVaV4xfJBZC22MHDu2O8msh5KeYx1vWpMM5IfldyS+BIADzhNJWvSijQ1qyjEBAQIZJ6Y+rZ7eyVDvSbHrDBEzGs42g0ikIo8LJHBF574S1JrUYAlQbwwesYjlnJMUwpTn5aoBgCi1ZSda0eqAW0KYBveT/EL+7ZgO/fmtSOs62wexg/uChGtS4wqsZ2QQiU0USzUcchzQDfvayJ9Rc+germXuvY1jtBeIgJQVOB4aYml4SDwAZ4xIVg3MyzYtujwNpbWpx3uwyOZg1pYY+6Dz2pbSlJQjRfteE/0En7UBEiFaIZ8xgCAl3FrhSDB8LhciBSt0LECcALcsJEbWv3qtjoe/iXaVNbftOm2XcWSBbqM3d/xtTBy7OiW8wvB2CJy+jf8wSAPMVaHh/di4tuesIUV183tA4AEHFucsMcHiMJJUneLTb7Zc/ljjU9rCh6qKvxWrTC1A2TlamFSQhJtVdkFlDb7TU3zlJF4CtPXAYA2DmaZgW7FaPWtAD2fp37oZRhyHcOj+KhjfJ9kVXFvbdUNOJ0erFHL5aVzFqnAniWirHNqgHpe6FDNPe4HiYzBrAYsdVH/SOqvVbou83gZUHoqAXwBBKF0ult40RzPU9tAuBN2IQ9T8wGdTab136UFK/oPH5Ryz4ArBDN/HINIgzR/7Ofy5XcDMCzCz6PZb5S6YT+1wKAGtBVjz8ebk+POV7d27eEZPKW3wAAeLP1JUt85WioFbaqFeqnw1Hj7Ulop/YjdEpFz4EjUgCHx/CUxKKRDNeXUJls9p914QVY8tijeMNRs5XjD4jMyqG2uiWZXOAC07ddl/qdD0vHyxagIY7AtlgCyuFuji+8zUFDh/2wCL6fBQ2JWqhtBZcicn24YQBKWsVFaCXJwQOA/bcloaV3HfYN/OSgVwAA4kYDswaSvAi3yEAU2PFVukgUhVh7+ktQWKdYFc9FhSi1ROtF6PIYlVIBf551BC449LWgatEhGPTQs3s4tcC86vLp2HD2xwAAF+zag88PLzN5GNo0wOM8wTGuI+vJDawpo3d5FUMby3DLsg2UFo1zRJwkRw4AqpThPE8KuEQW0wQaAxQYVgwFcaQQgl1S4rVDkrqzRQlcBhy1On2vjpx2dIuAj2boSkwCPDGTWMcQQD0f4BXitDNKIeBbSn8mn4+lz0d4hKoCf5+7hGPPHQpweyVz/7XpEM1nNqSdONdiPp2hQXn+uB+RUwSEZPBEhi2Io/YkzwWAGzOQmKCpHhGHA5QLvPb+GF/6FYNgvhX2JyCIC0859FH/BtzxsAzhZjU53w0EA4BIFh0cweFY7Wz2e/jAdz+IX38nwjtu5cZZNWqaNP2vNAqIZL60HV7fui2vfFDg5KeAf7uKgwxTHL1S9u+wWoxxuJdi8KgQOM15FJ0YbXG6b9goFxnecDfHpGHgoM0CDR0iKQSmVQhGN+7Af/0+woy1LoJdDXhnn2f2J8JD0HsKZjrLTM5jrTkAhzhoqAUHIVwJ8ESawTOREg/9AvjN61ocb99aRNRy8E5BhuDxYEpq25gJA/Ir0S7UKEWVCxWiGack+wtOwVokE6B+L1wGBPpVF8dYv6eBkMUmZG9KaUp+iKYC7iPO2G4rM++AxBkPWACHOlg0pTXvqugWU8whAAgh4BQU08x9A/Dy2CiXOECvDKM/x70Wh0w6BCW3hCd2y7zWiIlkoYNZKpo0ycGzAZ499txMqZ9hBaSKFj2VKIBmAB5IShRG1NNRFPb8CMHgWOG/lXu+CwDYXkvn4HWqObphvf97Sj3oH0wrNJ//xyfwhh/eB0D22bz2eea3r3d3Yfm6TXjJf9+J9QOybIt+rvWiWQLwrLzVDGlr3wsdornboRLg8Rj2a7t31xIEe16MYM9LzXf2GM3e15EgA+Q1czfB4E3YhE3YczVisULESZwRv53igDdvx/SzcwqkI2FLxgJ4tjkdnXJbDfAsBq9rUQ3+ggUt+xBPhQTm5Phlc9q0EMjpRy/ELf96Usv2Lft3ypVWvcJY6rZyjTLs4sz1iSqY3T/aqCMALjB0r6xzVuyKgJlHAYAJUeJaxEAVcbcBHnHdRGVUMXjhjvzCzKOWAmRRCJCudJ5kwuBZBc8dAS9mgCCYNrOGRQccjdcsfJVqzxB8Nw0aJg2vleF9GSu4DkZKVVQbw6CEoi2j9qhBZZvfhkM2yt+GNigFUtfFqi4ZqhbXGyhYjh2LCVJVEQQQRZEBq/I7YQAeala9o75ROJ6Hbx71Vlw//zgzJrff3yl30+9q5WiGGzdjtDAVHoCCoBCZYvOBpwEeQUwI2uoCrEmw5+k27HykE3uekqHTflU1mCVAlzoixapc8orE2RvaboWbxaMQhGCEq3tJgUJGcOGcPnntdkimy4CXPJYB/q6DKSU5lqa4ElhrgFdkIQQH/HJy7LffxuFkAN5yFUFYzeSeuKyRCu2ljgAEWspC0DFyeeCV06w2Ekd4mkiHaNrjzdVj2OVoOiUITlAlDRlqZx8rihFZ/dMREoARNNR05HCBkhoqnAKCVQGV9SMIIIgj6+gBiG74JO4cvhdxbRGiocMAyFAuDm6cUkeIFMALRxMwcNwK0aKi6ZhwP6sPBE3lDc6Pk+c3y85qe+evXUzrk8cY9bTgig9iMZo7uGS7fMQS4FnO+LS6QIlzEwLa8IFQ1wEVAgexQUz77X0Y3Z6/6EbgINzzEryg7X2YvzLGKU9w1MIR+I6PUe2UKgbP1MEjDgTnRmhlcENZLtxoERAhcMoTHI4lwa+dX+oNyEMqtjVlWmSFENQoQVlAhiirEE1tDnEMkKGFXXAra+FwGb0gjx3jT8t7wRHjmb5ncNrc03Dz62/Oz5tsqXonrWh58+axt+7tztpOOMRBxVIs/eJxX8QXjv2CyRf8yJ8/ggsfUwsLXKA89yfyeHEV9aiOvtEgl8Frt0JJCYBPX/E0plWmYVd9FzgXYDyp4kfCJuJe+T55eNMgVu9UKpIWc+mn5pn0MzuqwthzAV4mXDvmcUoURkTpuSEV9aHqBGorq/5sxI0U89mlWDFuoa3RJvD05sHUsZlIs2vthSTNpSAEVm3YjFW7RrBb1dl1FVPXMwR85A8MTNW3bFptDjKCKzGPQbjACU9zRHEAsAi9BJjEGMAjFL2k3SNNgbD3xQCXz1W4eTPqDzyIVy58pWmjbSOZtAUt0sV5Pgv8fLYJgDdhE/Y8sTyRFABJvT2vnPtzqg7eXizL4FGLwZt21BAWXn9d605q8o+7pKMcthdRVAXiswxXvFsyQm21ISyasveQBt1m3pSgYdaJlsM5jnZNbjgqlSGavRfLPEXqEWDqgQAkeAUAr6omaf3yGyPHkngF8JiCDQyh4xUvbfm9btXEKQgB302//NngoGyDZvBe/3OQA05HVZ23Sjl+cNK30KHyHXDHf6GNpldZ/fpAKjRPW8lzMFhoQ3tjBJWA49OX54vk2HkGVAnp1BlHqEJGt+4cTO0nYgpihf0JRuBkYwsBVJTmIR9JWFcRMQS33Gw+67EcjqiFBAq0zWrALSYezC8P+hkA4Mz+/8XO/nQITtPTYTUEMQh+9j2GyRdtQd8z6THlleXxWEAM80YcATuRbq6VVFV7zMrbUwBPP3UNp2hKU2hzYuAVD/AUg+fnFOAl1MHJM0/ERTt34+zOQ2XbVB09n8cgHChaYV8LdgJOI+1IxGqxZAFLgy4vGk6VWRCcgIrWun80Rw1QHqAElmHwtD94Cn08fb0WU+jV5DNDPYGIOBAcKCBCtZh2dJaET8PG5+2BZL8DV5KMlANl5cNq5ubS9+k6cQIxHOjUwZAQ9DsOaGMaikw+4424ASGEub8+EVJyXh/Buh3do4AXa2Cn6uBpN8fGd1pFU3VEmwrB5UAqBy/VN9aY0lG0JV5IMXVNlFQbIwgQeFa/sIjgoCBMxCQcoOFGWLRNwNvtojuTe5g1oc5T9l0ce0cdH7ieYzSuw6UuagbguQitMgkudSG4AFUV75v9PoIhF7Fi8A7eKPCB6zkat/Zh+2c+ixX7H2DyyODI+UjklEXRDGJECEYpRZUzFaKZzht0qWvAA/UluLEZPBFFqf7bOLwRDnVaAN6MPoHz/30Vpve1PnvtFijSaslCuPjEIV8x39+z/R4wzsEas8HjMpbNeDlet/h1KDpFNOMmbt9yO3705I+wbbCB2AaMrAwOjnf94t5cgDfZUmyOhIPLHtmKqeWp2FXbhUYcAiQ2gEj8/Bb0XiRLbazYOYxLH5aMbsATgGePlyzA6wjl2DraEorSIZqT29KLAmWvjAaz5meensc7GPCuA9+lLxKhdd6SECDqYan6yTvEycHXjBE42VxglevWjBgiHqHNT+ZsAaCDyIWjiEWoeBXD4E0eIDjxGYHGHbIsRsMCvvUwLYQT9O3B77/O8NE/cpBrb4NgIfYQjskxA1iEeT35vpJDCdad/hJsPussHD7lcNMO21IhmgTgTM4jjP/jwaV/vBZP2IT9HzU7LDNloXL8LdbINl0HT7NP41kisqJWufchRFOo1eAZr3gtHnnnUTjxiz9E+cgj5Y9j1BDiIyO532dNA03eaMiwFV9g0hHyZcT6B1LbPvyWjyT75QE8BwBjcLo74LfFqExTL4VCBzoXNLD/bz4Db5YSrNGS/k4+KCZHJ0IwhQMORtd+o5h+TNKepmcpRvYsho/kZcqpg3iPdGYMwDv4dSCT56PIdK6hkAIvloBNOxKQIwhAYp7KjdFW8h3sdivoDEYxfaj1dz0O2vw23HOAUjtV7+CdIzECdc5gtIZRpWTpt6t2cYK66hLOgSVTSigeeoh1dIEOqgDeUI46pm5DJjGQEAEQIK4n/bYlSnJcf3rb6tT2oQrDIlaIph+0ehgauDqMwFGOGXUFiAB+eEGM83/L4DeGctvoMBk66itmYJC2Lkg0n6jinX/mOPmp5Hr8GNjZmd6OuA4IdXFSowmdcOc05b+eWm32afpe0SjdRz1K2e4YsQFzdgsctFEBxOGNSXkNJQpDkQZ4/b/6FUjOWJENKLUweEsVs6uB8EU7d+Nzu0ZTwMlXYV3U1QCPoIgQbmYhu8YcBBbr1c1kOZDIlUyhyxNZ9tAFiFNHm1qUcgWwdTjCIxvlPRqmFDEhOJf+EXc6nwUgAd5R044yrIMHngKiLEy7MYf+9hkAUkgEADzdd0EyXr/n/gD/5l5mwq581T8UrcxonoWuDMf0UIJdZ7Eu5PNUQRPvcG5OHYtHFLPj2PSFZoW/+isGdmMX9hOJrL3Zp5LMT1zI57hrcJf5rhY34VMfNcUWC+GkCqDLEE0Bp+yjbZaco5r9HkIFJjWTG2wKMHTllbIP1it1UkeF+PHWObKq5t8IwCilqDAmV3F4nFI0tQEeceU7wWUiAXhxDFgajg21mJkN0TxhOQcRkqHNmi8SYGeYduGiaD3PvY1exEygvvFDqK05HwN1eROyOXjH/9efcfVjdskCOS6e3tGbG6I51WLwYnUdXYUuDIVDeOv1b0J1yedMgRN+f+b+KmD75mvfnFyLNV68TI5tV6MHt2zehpfWkoVAzdROqdqAhqDoFBGyUPa9ECivTpdhKHGCc48+VzWMpSIeCICyAukVN8lVWxi1Xj+B0wLwtJjJcCNCyEK0ecl96GYMviqKrsFfViRMRPLejEaJD/HL+9bjxqeTdIytP/tRsv3gEJo8QkiADgEgbiIco8RCZykZm9mSFtpskRUiAK4YPJbv6jyvbQLgTdiEPU8sJaxi2xHvlP8uWJa/n1bRrFRyf7fN6exMnYv6+5Arp5bnXa+At3/m15jcNRNEOeBiDCnjaZ8/f+/HtdoRbd5swj3dipxQ497e1LZ9RxyX7EdpS39JBo9DNCNUZzRBTvyE/EGJ5ZBSG/CaHwKv/SnQrUJR3fzrJx3Tkr/9AqYdOSxDPpU1LEGUouvDiZN8h7Da3grwkABxQIFRt5hSXqy6FmAqUjhc4CODUk59wefOTH7yHAwW29AZjODNbae1tJ2qZPCSW8LlJ6hQR110nBA0Faitj9Qw4pfRNruB7iVW+wsqfI4TvPGIaRANK0eFC7z9SMk6epm8DgDoxjC+7f0PCM/8RhJBHW39tRBfjd4ijxWlt9c+u8tgRAryjHrymA5zTIgmcQQKnKB7FDh4s4A3BsBzCYOgxIDoIEeIIeyVfRVbhe39GKk8PUCNY+ogDig298n76CoGz2MxqBAtarXlkUYqx/KRRWrVPAa+9TOGz/9O7t91zdlJCYxSUTKrmRDNXV/9GhwlVOSwjBPslVMlJQBg8pBirNS4OKnRxEtrTbiCycUHAF5DAnnqcYTEheBAkYQpiXIAiGKGgbrsfB5XUUQkw5tdgDmAG8MA5NADQBj261qIV89/G87aWUUkKNp3RJi3U6BPhV63M45OBTaXdC3B+w95PwqKa3UgSzYYy8ie+ir0TbfT9FP/OrPNEXQtPuJeDaLC3qi1Oj8Wg2dbTIE2DnCnmHJwmwrgnUYfwal9z+CcG5O+YiGFJ4Q5fjlzntNGrm05D+cCr170agCSwfMoxeE//4b5fZQHmRBNFxGLEPEIl34tRvEHv5NRFn4R044elMeMKUI1VrRzzRuWhPzlMu+POHU4IHgLvaOlXQU1hww7FKOUYgqLTYimzb65xE1CNF3p2B9VD7BE5R5HQWiYSSAB5VmhL93FRzQSVocKgZ6YwbXyM4vqZyFcEJEGpjEXZqFLC3gU3WKLg//o5mQhT4fxEhoi4hEoobjnLfeY3zsstjJCUncx5jHWD60DISIJabTmkDM33Idq0DrQvNDquwyDN4A2TM2gDK4++3bZI1EFF1yCK78Nx64UcJoJAxZ6Ih15IziczORUUSxu0RJLW5xh0QCAkjyAJ8fiYLMJAYGOQrKQd2+5BD+S/ctEjHa/vQXgcQXwNo4mKRmjy6/FJ35zb3KclTeZvxmP0VBlKcrEAeIAYcYv+dE7joRLCZg1b3hWLceh665D3CdDRketHLyuUYGY6XIW+SHCz2ebAHgTNmHPExuTwZt7LPCFoaRgeHY/raJZymfj2s9MwMFzEllZuBBAwuQBSIDJGAyeP2dO7vdZSwvLyOmofT8fxUMPQc9735vadv6stBxzlsUjVACMgTcaIMs+AZz6H/IHHYbpV4FSJ3DIG5KksLEYPIumMGDYypGr+3ZOVBEkrMGrxogdCl4qQ6iQU9qehIDaOYXUEQmt1iH7quLUwd5YxLff9kWINhci5nA3rAUAuD3Jccq+g8FCFe1BDfMsZcn5HzgI+//ufBN2SwiBztPXOVwfO30Jjj9Q5hvVhmvwGAP1eKoWYlEpwQlG4IKb8FkAABfockKAOOA28AMw4xtfx+8OeRyvc+4CvenfMh2aTpR3585Dfy3EACQYLUdptrahXsQuA+JxGBXdbhp7BnRRR8C1nH6i2IpGf2ZBgMh8Eqpqv0U5wg68ocU0FDvoA8uGm+jmGbacOgg2bcGaq6Zh+rUbAACe8t/8SInSZABuV99IKp9l41TtfabHJA1HzHClqr5g4HB4mVBRHaJ5wkAGfZZ7MLKtCL89wuLXylXwWar0m83suWBwODesqKdCwagr0CQOhJAMni0Jeny9AcqaGFFsJXgRPmLUh4qIXIASgZc8KnDmg7KtgQtM7iti139+Ee9Z8gFMjwUYHCy5fQ++8QtmAF4H53AA/Gr7Tvz49B/DoQ6IquFGOcNvzj4KY1nTSwpIA8DTGwZattHhZkTIZ9KzVvy9fWDwqJC5kswpoWixiQ0hx8W53mWYfG07jl2Z3CPZ154BeIXMeUR2KiUCiBhGRrUiLYHrEPj1hNmo8RAe9VDXMXZCFkAfVTnG7qU3ABwgXtE8f4IDRz7exC+/HZu2CIuBJdtUyL9TR5EzvJ9Ipd0iSdQ0i6qmy1b1zpoax0ZFMwXwLAbvkh8/hE9dyuFwAo8KgAhZl1K0LqxkTT8n83cm7Xxs4xb8cceoZLTV11pqX+bgqQUBJnDSUxxxzFBSY0MLeLT76RB9Ao4VO0bA6nJOjgblOCNUKpN2F7tT+xDr/RGrcE3P8VKgsaZrxma87Tc//kzq8/kv+DpI36Hms5th8PpFa4QBV3NXwabVBQETDAELUHErWLArfZyoAKRUSDgzIZnaehRw9aiHee3zcG7fQKoMTbuCDozTltDNaUQubvYrhd5sUXHa3AgAiHmEdr+zlcFT9QdXjd5pvvuOfyG+7P0cjTCGEALV1CuJo676u0RcIGq0MHgn7TcZ7z5hPppWsrCvIihe+9U/Yvu/nYutH/wQAGCkngDZGX1AWUiGl41Tl+/5ahMAb8Im7HliYzJ4ezHDDI3hCU/5+MfM3063VNbTbJ9ge/dmOl//ekz/6lfR9aY3me+qy04GAFSOPTa1bddb34r2l798n9ueumYl0OKUPcz//e9RWDA/te0rD5uZ3jcjwkIcAV6vA0KAVtsSRKHLXVhF0/cG8LiV50A8FyAO3GIywce2uIxbAIJRLHjZblz+8lMBVaaAFIuGMQVglCUBgLz0P5P9D3gFUGiHhxANUsDGyhTAJRDWS8oGsyXPwUChTTIZAwnLSV7wbpDD35K6jiVtb5DXo5yF9koR7zlN5iUuvPh/MKk5BOokTBgAiGLiUIIziEZa4VQ0RgC/2iKMUj7qKCyZJp2QLBnmlhhSHkJbG/rrIQaU08JH03lnuqaey4GwMcbCB5J206ElOFMpXoIAPExe5EMPSLn6LIsFABFxQdV1aIAXdSblHnS/6bA6p0DQHfKW+oEiDBGskiFYizdJNlIDPM02ZQHepIHhFIOnxTPL2UWTymQD0J1K2bB5foYA0ADvQzvTzlrIJiEc9uAWeOo+A+nwRg8xPBbDVYJEvrpG6go04QIcmFIGfI9g8VaBLz06jP/e3StBn1rFJyAoD9Qh6sCBW4Ay0qqkATrxkStLGLzk96BrV8MBR2SxZ30OxYse4+jcKb87PAjRXejCPWv2gChGj3BulHXzrOk6iBg3YYrrto2otll9pf7VLE9H04oWGJVh3MHYww5UAO2CwXE9FC1lIh2imWcsoqAkAXhZopVnmEjH46BcYLQux7XgHJ5D4Vh1JUd5rBi8JEQziht4astDZhshgBFShCVmiVffFqAUAtMV9hUM2FOS82RzjRKaojGKXGBWzFBb/xEc4L/dHHNwVJ5vuwZ4jEGraPrWnOpQxwC8AhM4ah2H4PJZIBQIGmmA95pFr8ntO00SuVt9EC5AhAAF8MDS7+GtN1iLU/qZEA4+f7UM+37jXRwfvpbjwE1PoezLc2mGp6eYLgHhgeGZgUfhlDeD1+cnSqskRszjVvGXFMBzZDjkSJTK13tQLbxmRFVlHmjqCycdopkZ4kNojdDRc3CFMVz6tRgnPsUhQA2D5zs+Six9HtfjqZxeCNbCgk9VYNWlLv74mj/iXcMjcCyRm/epOpaNqAmaAYdv9WQu9rBSxp5RnYHPH3mu+X1O/QkUEYAQBrdvsCUagivBnxpLFmZCQrCQ7MCWd78HW/7lnFQ/McFMPdkydYE4QJR5NxU9iqLnoGmFxfsqwsIVik3eLlVDaxZL3NYAXkYfBgAcv18iyPaPYhMAb8Im7HlizxXgaaAjckIogAyLpEBP8eCD5T6NJvC6n41/fErR+drXwLGOUz7iCBywcgVKhx6a2nba+Z/DzG9/a9/bbjN4Wv46k0s0/StfRvsZZ7SE7bQyeADXwhBWaCTaVLhlbPWPdhDHAniNxIkingcU2lIM3oldEgQc6HxYHiOsgTpA3SuCKPDsTZ+eajOxwmHJtCXJyRwfiAN4IkQgXDRCBjgOhOUB2tda9B0MqULypM8CeNW0swIAC9pOB6AYPEJACEG5ow0jVj4ncYRhbQBAqL4TDFJyuplm6kRtCPArLQCPlErAtkfNMW2bfWJ/agWbxzGC0Tpe+MTTYCGBGEqLmzRG5Mq5y4Dle1rlzbVRVzIBnBVw7Kg8Z3Mg/Rxtv/hx7HmqrSVXCwACkvSrqa1mhy0rz1KrQNICBQ9Jy2KKCEM0V0m59EZJOnpumNb9IxT40cmvxEVnymOWmyG41SnaD+vM5OahticJ0axWzNDN5orpEM2vBm9Nfc8VO9O5qNYiN84Cij1EjuUtYjK8ODaKs67KRaGeQEB8CE7w0RNngUDgy79mWHJTGSUhUI0bOHinvH+EEBQsdVDiyPujrSm6UFar6L5P4BIGbtUzHHAcvO9Gjsr1SVjXuu17cNdKKVuv6z+KeGyA1yYaGG2EEELn4LVuo51VHYLnW8+aGJI5p+E4AM/hQElwNAqTsYrNM9/XMXYeNI99OMQxwNxlSCnEiExIHvUECBeYpkLVptdXwXMIHGvBpQYJOrTIyiRRAxlYi8EtT6qGOoAg2FZ3zH0QgoB2y4WV2XuS81cU0yyshRCt2MiDmSkgNqqeh5paiCkIoUI0ObxasljjUrelBp3gBHAoqMsRDo/AdkPPOeSc3L6zhhDm7AGEGsgzz/sMDl+V/JiIITmI1IrJXDW1cM6NuqIuoq2Lepv2Ik4UNIVr6v2BMIQsMrmBb1z8RnxAdABWiCYDxdG7VuCVH7sK+61J3h+3KiVllg1tpplVMEFha3VNHwrQNZJcWyhaB+RBX70Cl34txrJ7rgEAvPZenmLwfMdHkaXP0+nJuqifueopWUCcsxYVzinqefCoh9tWyg60RZ7LTSWUwqNUkXRACu8AQF3lNhacAl4//QR8cY8MG4gJ0EOGAMpwUO9D8GJgd/K4gylWsslHIFS76pTAAQN7+EHU7r47dT7GGWrKZyhTD4ibiMP06hchBMVMnVlPzW9ORpyq3lCAz3HgiGRdcr99EI17vtkEwJuwCXu+2FghmnsxraLJgyD3d6etDZM+8mFM+eQnzXeVY49F91lnYdIH3g8sfb38csEpz+n8f4nZIaKmTEQznTPV+brXYeZ3vt26byED8OYnbCItW6udL/smcPzHgIWnJt/pl607Ru1AK/yQuC7QszD1+/HVNoys/CKmuy8AghFAFYUNhQunTQISd1ImpNRi8FyL2YPjAyyEJ0I0hCdzABwKoULwOubVQSzhgrLnIFQrycFtf06OU2oFQkKFUnEG6exBqvDtLCcsFaECjs3sKIAjOAHu+HorwNvxDFCotoAcWioBG++Sf1sAj1ABr8yl0Io+RhTjiHUP4/h1T2H1ldNx8OOZQvFcvvFdBjjNxPlY3j0vtR1xhCw/wWIjUZ9nvcvb0LeitX9GaPJdpBneHAGfcgCACFCfIg5aQ8p40MTIzX+Sf0PmWREQBAWboRYIegp4WhHTxShOMXga4E2PMsgNifP/9CCT90UInPy0dc9cVxVSBvawjvS+6nh6geKK45L+ZCHF1YVXYh2fjq1iMvw4Nky1o1a4qcsRUE86W3ETIuOonv7og/jan25C14gABYFHEkRFXZFyHg+aNwWzirId1Qe+CRcsFSban1Pj7G0X3Ihf3CFDlR1HFmg0su+6gDch+PTrJfM2jQ+h61tTwVR9sTzVU0OmKobGs8KvfCWEpIVAWOvthsOBChfY0H0i+kWXOqZAbRyAx7gPCsc4XX6czvfLArwRrwwCgKj29A0Mw6XUMJkAMAoBz5EAjxLgsB2DOO5hgvl3bZRtKvgQAhgm5VSI5uxYCrVMGk76pqxUC3lMIJicl0vWvW4TByMcPArNna/B+05aDABo6lIUAlIwigXw7vqO2cclbkqCX58flIJ6AvHIcCoHL7uIp00rjwJAtdF6P7WVrFegBu/tdbn9qFNoYfAmldJztEuTPOhp7RUjoDOT7kI9Cg3A+9yxn8MHWSUlkuWAo0eFxr776hqyZs9/gAQQRAgcsYYDQoALBwVrrO6/ewg/ulA+Sz/asRsRWv2DjpWSdTryQZmT5nvTIYRi8HiIglNoKSnkVl2AE/zu/g3Y0FcD4zH0eomONiiJBOCd/b8PqetLrFCTC4sxi1MhmkXOEYEAEKirBYPBusC//vJ2AwRjEEz3a+Y8LgNqFvEdqRy8kI9CxHIuu6lSTpVGsccAFwy9KuKmSHw5RwXJYm4BIRCHKLoO7CU3XcbGF+mF8brKV2Qq7NX5B8y90zYB8CZswp4nNtbLbW/WtmwZQAg6X/+GMbeZ/KEPoec9707O5bqY+unzUD1ZhlrivI3AWy99Tuf/S4wWi0mOoAZ49d6xd7CsRWRlUlLDL6UoWukBTvtiJkRTM3j5IivcDkv0PODNFwMAFp25C/u9aqcUVRE+KCXA1gfNphFcuErkxA7PBGAK0gOA09WV/OD6AASm1FYjhIuhRgTHEYhGpGNe6Ixkfou+TpKEE4qhBAyTYusKo87rFIyaGoUl30HNS96o1BGp0D2qmGDBiHTGMuppzVWrse7ihgxpsRnYP34QYCHgFtMMnnrLxI3EReBxhAEnuUdzN0lHRSv9re6cDUYoDttEExlNAAOF9DXymChRlQhEv4j98cWG5pzSiwVnSAc3pFaIlWYafB9fOObs1D6lUDJw1HNNqOfWAxMWlg+PmNIYfsRNSGfTWoQgFJhKBjBqrSTbDJ6ReN/W6shp36YfUtr/2BUCR65N+tjpaIfDItkfGQJQBA1zfsw9AcwKL+aMoMkpetGBk5yn0M5qhsGjkUBMKQiFElkhQNTA/GqSXxsMuViwdXvSR4TAVYBy2lGDKaAPAO3VoslJdHY8DQcM3ArRnL+21SVpJ3WjmqmPJwKd1yivRXgeNk8rYvOkpJwBV4DFzXHQ9EgUSiHSzmcsqf0Mg5ez7kY5UOYcnucbEEAB1MYJ0eTMh29d63tuTsaJbEt6+6FiOoze4Qw7h9OLLYB0wsOYo1Jw8b6r+/DqO4Bj75BAhbgOhAAGRDmJURXEgL1ydk2QCDlXRHLhQzN4b3Vuhfv0lQh2vB7zO2fgbS+QqxSjRF+7wO64DDQG4cdJG13qZgrMJwye43E0+gdTNevyzGsekipTUsoPVMHumWUTormIbDXHreqpnLfm4M1uS+e1u25SqmJytYJL/kWW8/i2fxEao33pEE0WAI6Pr8Rvk/uCoa5ESbpGBar1TI4szTJ4Ll76sMCnL+f4wQ8YBKeJ4mvGFochIrh4ZfAliHHwRufAAIRi8EIWAsK1lhSkeZ0KvCNEI2QIwxhEgWy9pQZj1FIJdawT63ERC5Z6PDwhGTwXzCiiXnz/Duzp3W3K0fyxWkGXP6C2l+VPagVLqKgZgHGGUNRBWScA4AddnSBWysIBW5Nz3r7lDlChck7hAXGAl99/pfn9F+7Xgf+ajZJH0YEEeHsqBN1X+Xta4CdW+axMaQLoxaBsnuI/gk0AvAmbsH9w82bMwAErnkHp4IOe+0FKXWOyWX9r86ZOAQAQxTah1D3O1olpQNz1zndg5ne+Dactcf6d9r2EU+wlRLPjzFck53FdGeb5ygvhVRjcEocXSwdKrwhrKxSK6JrUKQ+dAXjEUtFMATyrDUdSmcflN2vgqnYZdUVKbfPoed2IM07T1MOH4M6Y1Xohdm1FtZJbLbip+nq1E88FPfcJ87moVlA5IyYHzbYtd3Yj7FcOtw3wll8h//DKaQZPrVzr62k6HkTMULOcB03ydC6sY+Fl38G6zpl4qmcBpg+SVG2+vHcscQR8FoOosCKSwwIBQKBcDK/MUFDFs0JrXVrXByR+IVXIHpBhfoQKkI4exArgiaoVnjU8DDYqx4QXJ4W9m3ZYLhXoQM3k2gFIMXirZimwEiQXKU76DIBE7XJEFZHuzBAE3qR2HPnAcqy6fHpKRVNwQDTlxuSNP03yUfXvMcGUjgoiFYrGYwLqcuMZBEXfLCgIToA4wFcrR5r9N/wpYUBKAUAJgatCMNtmNVtCdQVjhhEWwoELjthicF70cLrtAHBz4TyjdEoUCymauoRDAvDaRYDYgVFT1cIc5UDTE0k7NFMhmBLGsFgxA/DU0OZe63hyOFAWAsTzTE04Zy8MHmceipkwYZtxyj5rW0tyXuQjMuTRzalJ6cYCr/rlaryn9+couq3tZCM1gBM0iI/HxSIJ4ATMc1TJ4EWdf1moS3Cpi4h/1fsZvuf/AADw2iNmoqDeFXW1KOIAuHT5KNAYgGfVFbNFVpILBYTjgHoCjcEhTKt2trTbNq/vLLi9SSqABntZoLNr7iR4TIqq3FL4lHHITX3MKEZJM3gK0Lu7nkHFLsxuATyAG0DXIAQPDj2G1QNWORcWISIuLoll5EtHAaAWSp9sHwoAzay8RI6DKYOyHZOGgaFgBIVseDYgS6xAIIKLJ8UCnB18smUbbV7YRPsoBxccA/U6Hts0imx5TKcqr/d0PIRmxCA4A1ETcJnrvDTVuVZYborB0wCPM7RZJYI8CEQE8EtrsashF36WNFbhf8nX4amx9qOuDmztuU9uL2SURsNaZ2XDAepxHftt5ag0kgiLmcPpMH7bRvTipWLwDt6SKHC+ECuAuIl2MYg5JDmGowCex/WAkv/M3yLFb7hi8LI5gv9INgHwJmzCJuzvahr4EK8ALPt34KX/tY87yunLmz4D7WecYQAMIEHvuGZEVvJXjyvHHQd38mTVLgXAjngH8IZfAgBmlxnOOWkBPvmS/VP7fectR8OtypeSrjlommuxOdQCozaL6KmqSXa+mMwzS65tdne5BeB1L6kZhs62g2YlYFmLpTiU4PHZh5jvS11TQCclAjYz/+Us2Ybi3KT+mm22QqViJd0Sg/Eapx+Scuw1W6CPNeqVwaMoVctMFLXSnIDfJnM9d5e7UK6zVBhbRF00i7IfNx49Dx1zG6AOUGARio8q1cfiGGG3ypm2/c0pVTsHT9WG9D2wbH4MgAFSBemabq6fTa1i1ol9aJ9TR7R7twlZLYTCsAx13wpBpkAHqSGleaD6hrocsUsw2u6YfDsAEDOPkf+q70Y8JeCTXcVnEaZvlcz3/MHtyf48AUOkazbgeCCwQRTBiwtFxHBVziWR4009HrFiPELiyhBNHmPKhvuT/ePkYsqBACUEjgJ4jsdTeauAZKNM+JSQK/02g1e3VvIH1yV5tD5Lh5maa9IAz/dRRghGAU+BEu2XTVZ1w6glcqPvbqTiL31mAzwVIqbWH1y/dSw4HOhhDI7jGydYgGB0LAaPApw7KIbpY9kM2q5HO1O/bVP5YdMDeV/LguOFC9KLXwdtFtj/sQGceN/dOMjdiqFqmm4sLZ4FIYDo/7V33vF2lHX+fz9TTr3n9pKb5KaSTgk9tBCqNAURFUEURBGs6FpQ0bWsq+v6W13LWtZlVcS+9r6rRESlSpeeRkJIv/Xc02ae3x/PM+2cc1OAS0J43q9XXjlnzpRnZp6Z+3yebxPqvgvlPRdOuvSNJ0evtnbPzY+16XNK4lLDsS1y+p1Y9gUn3eNjebBDtoD0sGJlSZzRzVhYiJga8z2hBZ6PO16kMxfLZPnhNm5/cFUi22HNg2y1iqXFZ6YKS8plasXktfRTqr8E74t2ba0JDGfCq5FL6URKwf3+ygn8+vFH+YdtyqJk2fFyLTKs6bemSXy8Vy0zVLGo6WH0yfO7Em6E2bq6nU7MdTnYf/zt2pOeQUYLvFVRlR46R5UQquAAgrtqyXCBepwq1PyacpGUDuWSx5ZW+NZJFnZ/GaELq/+b+xXGqx7SrxG8iPJBQig9ATpWjs4nbsELHmvbG+McnYQElEWuJAT2rK/znTX/DMA5Y7/kkR9NYeoN7eF6vq6x6PoS14NiTOB1PVJi5Ja/8vHrPV5xe1TzcduTzSdPXnWTz02D6u9pm8hArcxThSghSvB3p6OyiQ4i1e0Mqjak/cgkXN20mSt+r2MwnSCDctPDPi8wAs9gMOxVgtg06fuw4ho45JW72EIRlnzQVqrQciMEzq4EXmDBa5IaP2qXFp7x2Mi5J8P0I7FOuZb3n7WItqwLL/lCtI2TQuraRFa+Lj10sL90OumOGxOZvv5DGx/AKwtesp31Am8izjhwStPlNx/+Ih5tU6IuM6U3IQ5zxywDwJv9YqS2KvSctYBZ5wSufjHxpgWenfFgxjLI98LcUxIWPD1kwG9XcTvDqRzO5qdwYpkQbT3gEoLwegyncrQUfdJV2NAJufNfwteWnMP1p7yI2S/azB2LjkRYyoLXXo5Sx3e9vLE2IACBtSLW/o410Yx8cE2F61JqIvzzLTmsWJzjMcXfUJhWxsn5SG29E7YkXZX0PqmSxIzFax9akjYxCkIQjPP7rB20nAtzX7yJ5dZX6cjkE+nyHz73Kh787lRG1qn9DLuN7qctU0t4sTjJFbnos/RFJIZcN2mx1tdh86dvwLfToQUp7q7bZ6uBr7LgAX4N+eD/NrQBVErxXm+zupeWgJf8G6IlslQL10VWqqFqkL4WeLEYvUw1KQQCAotzJPB0X9SDMMeusdhanbDgeULFKh6qs+PFs1SGGQHLygI5pxwN7Gd6T+EJqAYhmU0swpYPZ44WsZwU+A5Tt0nsmuStZx7a9No4WQvfs8iUkxMm2Uq9hILepUMMuzm2uu0AvHbHCFfuGOIjMwb47hXJrMWBeJES5ov11CVqxe3IgRRUhKOEvZBqsiCIx6vUZe7UIqptTN23bXXxW62McfT7LmPHe98HwNL7JVf9yqd2Qw9VneXRGRxiua57aFsOlmWF9wSUJX+kpu6lUynRnk6WKrjmm//HR37+dzpqJ1N66sVUPJ+sVwljQ99wwCXMLV3F/5ReEW7zxbMt3LRqcyDwLjkohzc+gFXTfd6LLHjVmKDv8H1O0JNfr3F+Ey6XMQveeld1hrhL54atg9y0aggvqH+Hl7Dg1buS2nUumq5fSbznW0UPWS1sv3hOdN27h5RLZDVIslKfjrMOiUXN9/CpkZM1bGscz4KfLbPoOWlHOOrf6HXwwJPD4Hv4emFgwStr69bDT+lkKtJOWPCC50f4JTLDcNwDOvOulDxVl0ugTw43JHHJ6w7oam+DYl2kRPFX6j6suH8T2ZJa5+5iXoUrNOH1P9STvXYB1t/GSDoSg4HnSKGyib6xHdF1+uQXAWj11bt7+/g27vvA28Pf3VrgGm1i8AwGg+FpEcSm7U7JhjhTPvJhOi+9lMJpekCvB+hWNovVJFFGgmAUvROhFJQ1EHE3x0wrvP7/oHdRtOywS6LPdoraZp11rLc3ucMgg+miRcnlsWLrQers+GSvcplL/tGs7ESY7g5t+QxFHYfn9vUlfrM7usC2qY2WwkF2qt0m3aXj+RIWPF0zSwBjW1UyGieNsMFOBaNPwE4htaVm5rBKSPPSx6I6R6GosSIxO5zKk6pBoSgZyUL3Rz7E9mwbP3KXY7/z19yYUq5RwpJ0iVhx2jOOb3rOwWBqolDXIKtdLuPiNHHxzeaziJhoT9tqJjxeQ9DK+tg1n75BNWgdzETrBy6ax4yPUwtun4CB7JM4aUnKzWC5TlOr6fg2XVjayQWbRfu1Jf7QlvAEF98SG6T6AqlTwYtUncCL3cdFqRZ8bY2z6uIGAUpWSiUB8b2JSl9y+f/6ZP0itu+DLRBHXo618BS9I4nT28v4nXfG2mapzHixAWs81ipuBT4b5dIVJAPydemAIIGELVSZac8WYV2t4x7wufAmn+kjatY+nsQkEEKpbUfxnbaTmR0rbny49wi2JenR5Q+seMyitlzZPsytVrGdFG4VPvtVj89+2Wd2V6c+t+S1sdMSWbNCF817ZmmLSZ2LZKpQpWvhGK88+6OMCDVIzXrw5sEh2h76Aay7JbH++34QHag9LUlXkgcOktGUUAJPWNq1Mby0yb7mpNU5d+oi3NW6h+XOzFVktm9h9Deqj8WH29N0aZLSD7p5yy98Zm6SOIAt7EStM+kLaraNsCWiWqW9LnbYx+Lhp4bZuvZMqjuOo1LzydZKahIJ6JEt3G8dyfZqNHn1qfHNOLqfB9llz5ljU1zzZmxtpRWeR14LvDvW7iBOYJGaaW2M2olHykrW+/viKV8Mf3eFR1U6UYFz4SUsePXxjVadr59b5ztZHRsjU61RseGJHsG3VpwPwEGrFyIgTLKyqG/n4Qe2Lxiv1vD8Ei8Sd2P70aOe933k/BcB8IfaoXzy1w/h+z7j+j7nfQl2iozuIEXdn4qkcbUFr2tsWWQBRzD75y28/Wc+QkpcCWvc5N+mAo1/16dVnwAg+BMxVmf49jarWnrZss/VP9U1C4chVdjFGKE2jpRw9Loo5GB8qy7a7pe49He/bNjkOFTGWYkke/Pd4fIgRi/oG+KBH0O1MQZ2X8YIPIPBsFcROiFKPPPV7pCeM4e+a96Lq4VUIMjq0/c3pU3Hq02QZAVirqNNXB8nxHLJHXUkANmlS+t+07OkRx2VXB5rQ2vW5Z9fehAyNmtouc0seLsv8LqufGPDso6cy+eWXsDNh51OZomK3XRzNQoD4wjbxW5rwxsth4Nia/2fEA2VmAmFtLCAsS3gZkMR0X1gLAjFToXF34PZ3wOGNgDg2Rbo4ygLXorrLz+Kly1XSUw6R6Hsilh9LYEz40hSjk1ZOli2ZCAdGzztwropLElJqHu79dp/afjddmyWHTijYbmwbaxcNLgKBmxxN0Qro9yuesYHAdgSjy+ybdrEGJ/ZtJWMjscJBFRZOmRSDiLlJJLRBASib0zHBp4+ElmcKpaLNUERXv/sLyEPUrURlQXPZXm5cd3Bbz4UWfDykZUwcOUrOylkDWStkhD45KORWTGl5ILlSywnmGzRz5AtqW7YkDjmtjtKlH9mYcXcBOPuuPHH7h1CxXcGg/yxO+7S56QH744gJSU1K7Jqvf1nPuf/JRnTd+R40Ad186mwbVs24Yvo1ywsIZnjVXTbo4aUO3uQAi4YGsUGjl84JWxzxxg8cv5bKW5ONcTT2Wkf34OUtpht00ar+ljKlv5IFQQJgBJi8boX0Yzi5jRTC3YiWUwtbePpfjIoslgxF00Zs6hU3ViclX6OWnRCi+A0vIpomtxjJOY19+RgBS9mocyVVYIbS1gNxayrtoOwwPFr9OTbAejX722XGo9uGqWoBWO55pOtVXBSPjXH4o7711Ku+bSOR+8XYUtkTu0nKEMx393CKQt7cbWzruN79LepBn/71nWM3RjL9qk7QFzQOpYTumgO6c5YSEXPv0uNCg5SXVkc6ScteGXI11T/d2qyodC54yetUR/8zq1kqx4l/ZpbNUt5UnSMqTYHAi9v7zzZh1XLsHpwDZXaOCkplcDTx04BXlZdp6Ct2+/cxsHXl0hVJceNl6jZGZzwPHSWVHy+XjuLkYf+idEdL8fpPABQNeicotp5qiaxpGBznQUv28QCNmgHrtHq+1gmeU7+5ijR2kFP6ZjecdU/f3Bc4/n7wAkb5yKq43glK2EZffKWDqQP0/N+g+CxfIkfxKPXNdPRkz6Ri28V3Doluo9jBJ7BsA/Rdt559L7nPXu7Gc8pgQXJ27btGe0ns1gV8J6oHmCCV30PLvhvlWFzAgL3Q3939heQLtD+8pcz/5a/NhRqzx15JNO//CV63vbW5DaxrI8Zy+eio2ckauDVJ1mB3XfRBOi9+uqGZR25FE+29LDy5FeFVpADXlFh+nE7wLIQmTSy6ocDVWFLKG9v2E8gRIWQUBoENxdaJBMDGtul4+JkfbYgwYgXG0Bbrg+2ywnzelg0W/WLjlFYNHBYIoOdEALXtji2/HnuchbBmHKz6Zg/ulO326Bdn1r4Q44pfR7vyGWwcHGiPQCdvZFrofUm5bYjKxWItSEQdiIm8LRu5ISH1QzypmwsmY6bpo0x8lKSCs2JeqacDNPaM1gTCLzAxWlcX9uDxqLB4aBdoFp0GtygAPzuQ8I09IGL5pJK8wmQ8F63tJJdqF3R9CUJjivHx5Lp/HVKcV/Axk61uosMRVEQv9psjqS4USJLgt57o34Vt+DFx1vBMQM3veIdd6v9ayHpph3SUuLZSQtznMqwyydvG+GHGzaGA5+cKPHnVYOJbfyqACvK2CliFjxZqSCFoEfnlT+gr4OZdQPYtX/oZst9SSuL7Vbxq5JUOSnwpm6ry7QYc48NnvGXlf6RP5cWUxu3dppBMe1XQpc3AOlaFB9R1vIRN4cVuGhKkRCN8XeJnVLbt2hXwRqCH48fxyM/6mfr/Y2Wo3h8kvQIrcCgyhM40se9+W8ctCbZ8KptY1kSx/fozBU4o/Wd/GCDsp6lqDJSTvbRbK2M5UjGcxk2PfQ45ZpP22hkhROWBJ11NJwkeOiX5NIOlnY7tH2PvtZogL7lxi+Hn4PLHtfl89oOipKs6D5w9zolKmueT4paKLqk5WBTa7DgOfrZ+/TXPEafjLlrZ1L0pDMJITKr9lRC4DnapT+thWAlEHi7mNsTo9PZUl5P0S+SkhLLJxH36+lnOXB7Lt6qYiZ/sHoTVw4OMeq5ygqv9qbagqdcUaXDWMmnbf6Z6texSOE7PlhN3EfTTTrtk/q5bdExh/U1J+WWaCzg+qoeZL4EMu3zqyObuEwDC9e3IX0vnAy794hTo/35kKWxjFS+BOXg/djwq2JAx1LO6Vo0wRr7LkbgGQz7EFM/+Qm6XnfZ3m7Gc4o7bdquV3q299PSAweev9NVQtfRCeoLNiXbgRCiIYMmKFFSWLEiGdMH0BJz5bzgOnXMuEGqiYvmm05NJnfZU9pzahSRiC964x/DovdWOoNf88M/lpajZ//rs3voeMPwr6ObCy148Vg97BRdl1/OoocejDbVgqpm1w0wg2QnGTV4cD3IdKmg+XixWtcWbKONMacljIHLdlV3KfAGOxbzzvOO4fKzj2f5vB7cf/oXrl94Oo+3a6uulLixe9Q3TR3bL5XwK1FfCAReImNoWn3OVirYKZ+tqSjRjkylaReBa2EgjNVvIzLLQGcO4brNBR5Qtpyw/uHwE9FgcUjspPbayEjopidcF1I5VcoCaJk2nlg3bsGb+mZVcqUwfZy3VN5KSd9Tf6wYii1hS9CWw6pr4wYT4Z4XCi+h3bVEfXBYjNS42rBmEaa5B3ho7ht5Y+VqddxA4GWTpqCgVIqdssj7yoJXXyYiTvGRPAtiRZCXz8zS7ZYTwsmvCYSQ+IGlxLYoDKhrVS6OI0VkAZM+/PP3f9FwnOF1yXtiWTVkxSelBeyWNrX9mXdKyh3RBI/l+vynPJcfXnkM1557EACjfo623wzz6E+nNLh+xklXkvdTurGYw0KeIZlX/c1PimAv9vxZ2meuVbvLVwXcU1QTVVsfKDQIzFRch9VgfFs0AdI+BrLm4X7g33jHT5MNL9sphK0EXmvG4Yye+bRpoZymMc6qpVrEdn1GW7L0j22jVq4w89G7kiu1qsm6sJbc6j+ScSws7VPsSI95fZHLtBcb/gZZI0v6nZQSBd57zJWhwCvq5Vddfw8jN97Ig6u3kKIaii4sh4wtw+ysoOLLXC0epiY9QhG2xVlzDyRbjb1nvB1ka9VQ4KWz6thBXcbAFTSw4H3tdIv/eGvjtbJ9HWcoa6SlxJKRBQ/A08+yK2sI6YO2oA9UVLqYqpXBDvywZSTwgmQy41WPGZlevrpxE3M2LY2dL2G5hTjpJha8wMrXrV1Ag8zCq6fp98ZQFFMtfMFRQxUsoJaWiSzEcRb8fS13zH9H2LerhWhyTUoB1WKYNCrfryz5hXEYthoncO84QLBquVr3tLFRvrthI2d2LW1Yb1/HCDyDwbBXSQ0MkDvqKKZ99rPPaD+BIHi26H7zm7DyeTIHHrj7G2n3lz0iH2X8Ys4KAPqOqnPRTCcTtlx0wgHJfVzePPFFQPdb3kL+2ChBQ0euSfbQjllh0XuRySArVXwdLBZaq+r+YoTiIRB+qXwo8MKEGD5Ny1EEloNqrD5hYMEDsHLR/XTb1R/r3119Il+5RKXpD66Ql82FtfqEJRsbWccDc19HS9rh9SfMwbIEzpR+vr3wdMpBYhUJth5EFTu6sVqVucUfH0eWGgVe3IInY+5Tluuzw44lkEhlwjpMIiquBEAFl658OhnvWUfVcsJrVRlW693z6rdTsiZ2M/ZHRqhtUjGhwnWhZQot/cptr3vxaHLdQOClXVKzZzPvpRtxjprNL/xjaO9s09egGImtTDRo91w1wFMricitUQ/kLFcy493nTdhOUFaduAXPyXQygoo5DIRN/JjqnLSAdC3eMDjEVL9KoUlh86C31I815+Y98t4oXmwE7FeFch/U5ilhW3QcoO5byqshhQhTdJbXrqcZXllbFtsd5t34G4Qj8SsemTKUXLhlQdRP2mfNDz/bruQz8iKOmNVJf5eymLl+DbukDhiI6/EjlzUcM1VOCjysaPCfKRR4W/XNFEVaW/Ci49di5tUgnrRFu0ueVhzn8uOj8jtxgbmgXE0IvOUP38OGv0RZPtNVGGxStw9UAirlounjWII2L1JAqVg87eEzO0jXyuRqFeyMTyXlkquVsIpjuLHJFi78DlaHsvi3jeWQB5wKXoWOrAjdDXuyNkfO7OB7077PV9zIPRMI48t26H771sOuIp9KRwJPW/Cm7NjC+qvexN1vexfb78whtDiSlkPeJRJGKNe+VBOruuX6CMciJX0KpejZVRZYn4oDQko+vekyvVwLPJ1kZeqWtYCKW1vZEr0j2047AYBc7H4GLppxo3tVhwQc1ONyY/Wd4fKgT1SsuIumhYWPI3wqMno3lX2bY0plThhoj66hJ5sKvNROIia6tQUvVX4Rrzjrw/z0zM7GlXw4fFi9GGqZKPlRPWOlNBsKB+NrN4qxztjfVR+ojDEyrQvL9emcr57nlnEYsRob+L3lFuVskEgGllSqiJaehvX2dYzAMxgMexWRSjHzm9+g9Yzm8SW7SxCD92yRO/xwFtx5B068Zt2ucJ5GG1p6Gxa1HSBpm63TfNsS0m2J3+uLvDNQF9dXR89b3syM664Lv7fnleAaqzTPmGGlUshyCc9TA4ggNifurgbgB9bN4C9J76LwGjjZ2GgwJuKqSw4BUANloBJYy1xbeaIGAjETWakcbRGd0ZXjRUtUcoW71g2qNhSia6OEU9TG1rPPbDi3EZmcCPD04K6jXYtoKXEswSWnX8vv3vlv2LrshaxWwwLbAJ6uBZbMGBoTeI5kmxMXeGnSQgvR0P1P/e9hkUvbWDGB1/XSFYl2Vm0nTAQTUF6whGIo8BqFjTc8wtYvqCyvwnWhMIVsV5VFP/6UsnbGiJKsOGCncNISX9cIy7QqK5NfHA9Fhh2Pe0ypdOcWEulHmWeFo8W665Nv3xoWsm9Gycomak65XpVRfa/kRBY8fb0sS1KQkiXVSlMLXtjWukt0+Mf/hXk3r6LiRxMQfs0CISMXTdsKXSfTnnLRHH4iS9W3qKxbN+H5APSfWsDJKXdE6UmyZcFYBkppQduJB6u2t0STN7m+SLSIVJDQJTqhMAHP9FkNx3JLdZ4GIibwhM9X33Q2bqFTZ0ONVov32dBF069w47r1fGDrdjozUbmKuHvuuSNjodUWYNpQFDcFkK5KsrK5uWWIdNj3bb9GizcYbacteB0Mc9m09byyeiMATsajZtukvSrWuE5xrxNWOQuOINOi+uhCeRFijkrAlPGjazKnIwNjWzh620841buTPiLX4ODtNKjFUbuOtQrifoMkJCntsXDEqjsYeizPwjvWqA2FQ86WCRdNS0JKWom6lAAHvHgTwraQ5UpY0gOUkJtRSKtMsEC7v52y5eBqa2pgLTz1e58Fkm6XAPnDlcU3H/NgSEtJT9VLWPBqOraztbyJ/tg1CATeuExFWa+kFZbuqcZKmpe1cG2PvQNcH3q2Cb7/iRrTtqrzcqSktDl6tpas9VnwRHTOQ/YsAJ4a7mYk1UJ7tdENWErI60mbkiPxrUbRDFCojFOqevhaiOa6YyWCtAXPkR5u3gsTgB3zkB/24bZYhYyKA75+WYTOB7tZn3dfYlIFnhDiDCHEw0KIx4QQ1zT5faEQ4q9CiLIQ4l2T2RaDwbB/82xb8PaIqYc9/W3dJu2+5Ef0HznEvPOeUiXwMslU4nGB13LiiXt8yJx2VfEmSAEtMhn8cgVvXA22woyYda52sqhT8Ad/c3sWhAItHIzrxCkB9ifV7HngehQUGLezgbuTLnsRu5+t3ROXvTji4FlRuy3VmL73qzTu0pfM+8ufE+sfs3Rx4nvgptrVEQk827LYmmunnM6F5TLwvIR10NH1kxIump0xd7cGgReLV0klLXg+FrmUnbDgdZ4fxZCAsuBlvKQoy2ZSocBLCGpNkNEVAoHXr74MbWhYN7TgxSySpbQqI9DRFVjwSipGDXCy0ejectVASaAGiqGLZsyCx7pbkHYkFuqp1rnWurVqaMEL2ubmkwIvcKMWllqebq1RHXO4ZYdK0PO9Eyzee84rYpa/xsFhYWMxSkEftN+KRLidc8PsfY70casetXGboSdyu0wMZTk1KI+ApVxX076gqruIrTO1WrkcmbkDOLkaVl6GbpDBtQuKvEMksNwpycy3oIpcx6nFLudI1xQOndFBOptRSVZiFrxUNXYf9XOe88p0ez4uEO9y8QyvWTxSTa2liuNGSpSKzQV9T2dneH37MjZ5L0qYEgi8H6Y+wjl/ewPX1L4LKOttIPAcXSaj+01XseDee3A6O/GnTGMolWPW4/eFcc3nrP3nqL1CMn77X6mO2Tzyo37GH4jeSZEFT92cwiqV4Xf7v/4b89dLypaFJSXT/aSIzY/qa+6kcGSFg/rVPfWEsuC5CFrqjJh2SmKlbPxikc6YBS/rV3ClpGaLsOZc1XZDgTe9O/k3wKvTzkJnCG1xoh/SUrKgXE0IvKquF5gaH0wkAwrrlPouVGtcdKNHqipDgVfBDl3kK9oNtMWO+o7rw5JHVbuP12UTBDC0Knrm//HbPh/7lsc3/l+Nj15fw9f7Cbw5PNnowSClTU6q6zTiTixZCpUxyjUfXz/LnZ2RWJQ+UCni+D7CkuHfs7Nvl00tjFUHvMArJbDCZtoaV9zHmTSBJ4SwgS8CZwKLgVcJIRbXrbYdeBvw6clqh8FgeGHwbFvw9ojLfg3vXfv0t194DsyMpffvW4I47i3RwDQ9scAb+MqX2VMyuxR4aWSphFeSyqUoKjGYwNf1o8LYvFRLaMFzc2rQ3XvwcKLWX1t3u/q/osRh4BppB0WutbUv7qIZuEk2o6O/O2q3FqBOn06hXqvhdCZnXjtmLU18H+jM8eVXH84bT9Jur1JSyKg2ZFwbS2d5RUr63tcwT5lw0czPzeKl1cWSDngiGmW7MUuNm6/p9upmYpFznYTAczo7mfOLn4dWiqrlsKXOBTiXTTNmKQGa64lZcITAnTmD0v33R4vSaShoYTD0RPIcXBd52OvVZ1lRffGka+m58D947xkLedVJqg1+sYSnU/0H9xcg5VQoFFU3kL6A0HUycPH1YWjdTrPW1pf+cGplRqQaHBa3pLAyFm7Oo2OB6nNOrhYmQhJCCa3WEw4F4J4NcwAopcDLuZGgCW7V4nMT8WTe9rpkOUG9OCDV26LKM3QIvrUgqrFo207oohzQetZZie+2XYHSMMKSyJpHWlphDJHdpgagwraY9e/v44CzNyesJFZenXu2Ft3XYECe7o76fHi96mKFWwIzXScMTdFZYW2HHX4h4Wrp1qJzCAa+nUOR4PLtdvW/EHilaMiYrskwY2UzlhSrlEeTbsB3HKL2P7+9Jez7x81qIy0jIZjSAm+uLllQHlLXJNVao2bbpPwa777tetXelpaoJE4mzbpCH/mRHaHAO2DzH8L9Zmsl1lx1DWv/oGL1hlZH75dAEm3Xkz0t1TJ+qcSOr3+Df7o+iOGDi+XvE+dj62Q70slCpciZi5UbX82ysH2VnbNQTGyCZ6Wx0hb+2Bip2I1I+VVsz6NmRe3xHIeUFnhfv/x4fnP1CeH6tbrRu6UF3mwRubu2bBcUN6UT1r5KUB6nuD2scwqR++2I59L9gOS8WyQvu+tJUjELXmtGvZ/G9Hb5WIFDpwaetq7FLfHB+yJOtgIL18OOok7mEwq8JuWNfEnu8CsBGNqJwHN8n3LMgudk0vS/VBeFd1thfAeZ2ihCJL0PXK/xb2DNhpJOnxm+J2LJ0J4vTKYF7yjgMSnlKillBfgucG58BSnlZinl7dAkqtZgMBj2gIbkJc8lbubpxd8FXHgDXFZXo8eNWTvqLXi2zZSPfZS5v/0NT4dsSr36/QnS8lnpDH65hFe2Iuvd1fdFQi8dxKvVxea5uXAQLyxYdHU3nfOLCQteWzY5SztkK+Fj24G7p7bgxe6n3dY+4bnkuyIBF7o+6llsWWvigtqkEN4ZB04hF4oryfmHTuPdL1rA2045IOkq2mRgHa9v1dHeQq1Dtdt3kn9e3a7IFTewRElfrTsic2RTNiLmyoqTJn3AAdjtaua4qzTEhpYeMgcfHK6SyaYoCW3Bi8WnLbj7Ltz+qdS2b8fu6KD9VReqch8tWvgO1cWO2TZS6OQ4flGlvTzx3dgtXVy1Yi4tfXrgOlpm012qPe7cg8LNpa0qOB5/q6hz0dQCT98Xp2PiQVI1Ngng9PcjHn6Qsx76C74HlRGHTG8aYUHbTCUa7JREaOu3JcdB2Lhv/Tmj6Tx925TrWc2GH4rPRIIm6O7HvzMhcsSohHR0v4QFlRHVhzLT29XCc9q5YdGLKPWoZ3F8Y6pB4E39l08mvltja+Gnb1YTD34yo2GQiMkvlRFOCmGrRBpSN9LWkxot1Uj8BIPlbHujK1v39gcS37Na4ImcJK37orBtVVy+ZuF0K9fzwO0Qohi8gUc2hwNbf1hlWfRti+0Px+pAVsCtwWiTzPFORmUzvO2ByIV1WwH+vBQQksLxR4eTMf72zbQ+9tNwvfMPScY6lYcdLMfHzXthDOrAqKqTFndv7SlkGE7lGVj3EGM6e2jcpTQzpkRrdUxnvozFxwmUFW+LtuC1Y+HFRC6o7LCpVPI97AcvvlQeqsUo6ZBtYUnl+lmoM2J6dgYrpQSe7XsIHeuZ8qvYvo9nQ+AU4Ns2jo7rayvkWTglOn69i6a1VonZ5X9fGS5b9D/atVoIlugJgKoblBMSCQtecK0Gay5Ci55D/DW0CHUCVZzw3b1xRLWpJSbwXF+GibMShe1rje/b8Bz0MWuWQz5lU5PN/4bntGgbdCfel0BSrvlYYyoDp5uyw79LsnsRPPJr8rVRtorWRLZat4kFz7Ngu1bZg4EF8nko8CZzRDQNiE8TrgeOfjo7EkJcAVwB0NfXx8qVK59x455tRkdH98l2GV54vJD7YuC4tD+c/9SNgwTpF1befEujMOnpgdWr1b895KFt6i/w4NBI02vVOjRIeuNTpNosLEdSs3PcfPcqpgkV4yZzKShXkUIgpAybdsvf7sP2ihyp9zM8Nk4rMDg6zt36OFJKpsSOtSMQeJYaSPzx5r8iLRs8L7yfdz36CLXxuqlwzYOPPkq7/iws+Nvf/kZpXZUOYNvmTTy+ciWZS19L6/XfYuzssybsG6m/P0gHsH37dlb96SaWCLjtL+uxdgwSDDlXrlxJ5rLLmH/PZwB4xJ/GeCGLPGgu1uAOitURUtr9UsbqiwFsKNaYqT/benxe1XXQhslz561/YcaOHQhUlrc777mfkdUVOtevx4XQPXPQtgjG1KtXPUpNuznFp2tv+utfaR8ZwRodxS4W2bBlKw/r8z7OKVBadx8FwJ89BWv1U8hSiSeeeJI0MDY2xN/qrpEYH6cXqI5UADXYeqzzaFpZTa3TxdKZOU/6i4XsFYxXKqxcuZLcmrUUQLkZA3JZD0MHnk3bN77ZeAO0GJRCMDJzBtlbbuVVwOPb+7DKEtGuT1OPfnPdFbYOj2EDwhvDEw5/+uMfaZ/Sw4K1a1S7LUlW1Ei3V8OBPcBf7nuco73k4FamLESxBlLgewJn+RyKT85nqG2QwrhKLAGw+vh5LPrxnQw97rDlhhtIAd84xeKRqYK3/fnPdE6bhqtr/lmuD9seRViqj4+PFEPXunXFEVLA9tWr2XLPvRwG1LCRvs/KlSsRo6P0AvkmAu/x1auod9LMjG5jKHwSCL1R7xTzGdq+lZUrV9JZGieTaqVWHqQ0cwqprcn0jvGBb3XMZs2hb2D4r3eQB5yaR2kwEuGZCuQqKtlHvqzeAwG+I5CeIPOXqLD9dadbjHb5LHrlRv42NMocLfAeP/s8epcOkVkIg4/n6JiyhlfYagKiVrLwKxZ22kcIlYgnzh0PPJAor7NIZ+lZ+/HrWHxuUlxkNzyY2LY+I6klRSjwKhs3cev//S9dRAlKHASp8aToC+KIR0o12LSeNWtWkbcsfCGwfch5EorJSbSqlabqlyhu3ozj+1iOxPOUwKsWx6l1RLVCK0KELpor//RnEFZ43xtcNNf8Huih/d4MhZMkIzmB0CK2UBngvzfeCsDfV6/laJRLZlwABxbrkkzh+j5gIYBfpt6v2iJd0F4XNz30JMcB7kjk6t1ak3jaEheUz8j5Pk/UeuhhiGYELppVy8EVfsKCN9gqaR9WbXpq1Tr6gB16YlJ0VCm0VhleG02CWtKncstNrP+TstBuXXUXo8Oqb8gnbodWdY7b7FaEgGx3hfGtqQaBt7oPRnKCHTph1o5HWqiN26w99h6qqT3/W7s3mUyB10xqT+ywvROklF8FvgpwxBFHyBUrVjyDZk0OK1euZF9sl+GFxwu5LwZ/wveL83+kAo9+FY58PStOOulZ3XVh7Q64/S/k8nlWrFje8PvG3/+ewVtvY3QsQ6azgmMJVqxYwWNaRHQcdSDuoSsQtsOmj388dNFcdsLJML4d7lDrtba1wwi0d3Yn7kl8qLWuoOReMBg78aSTQzH7SHc33tatHH3yybhTk3F4p6y5nd8/tJmDDj88nEkUluSwww7HO2URa37xS2Z9+MNkDzoIVqyAaxrdK+OU+vpY/bnPMeXwI1gaa6s3OMgj+vOKFSvUvj78cQBOr/wrc3ry/OEHev1vnkuxZT3DVBGZpLvRzAOPgid/BkCmU1meApe33/uH8i8nr2DzL7/FDh6hpb/MjGXLoXchqz7774kKTr1TpzF8190AnHT80fzPj34WnnvAihUreOKHP6T6xHrKlQoz58+jJzintYfirlYxRos/cw1b/+8xtn7hC0wdWMA2VlJ47XdYMTWZOVZKycPv+ge23h3NYi887Aie/PZ3ack4FHV9t6qtkqzk2ztYsWIF29dvYBNRltWpCw5k6unv48Fv3RCV2NAsnt3L+PYnsFtamLZgAdtvUQPS2mYby/Vp61QiKd1WY+bJW8l2VfC2dTPMw1iOj53OsWLFCtZ+7b8oaoH3gcHt0A5Tlw3yyI/z2CnVzmNPPovqjUlL8njbNNprq6iMONRKFv3v/Qn9mVb49XvhKXBzBRiDfEdkMW7xPCrAjQcLihn1jKz50pcZ37CBtqNnYNlPqnsz7WC4dw0p4YaudYtOOJ7Hr/slrdkssw8/Eu5SVpKe1iwrVqxA1mo89K53Jyx4flltfOSxR7PuC4nm41fVbzessDhpcJz5Ovxys9XB9P4prFixlNVf+CJ2YTpjq25h6vIVbL0/KXriCWi9isX8w05g/a3/S5C0vjzoqmdTKvfMXFkJPKucRuoi8pWjU2x7sIV5tQ206kmZ7S8b5Pb53bxsRAmww15yBUN/vwVuuwWAobVZWgdKbLy9nbahe/nUYXcyvt1lze/U1Eq6o6L7VzRk9W2H488/P0xGA7D2uv+muBpc7d4aXBOA7s1PJmsr+oIqThhjpi6tWn/h4N1Ulr6PdUQlBhxh0VbnbObrYW5r9xTsapGZA9PZ7jj4lo8lodNO4dcVs5dOjlxLmurjT+ICVl7ilWH2Uxtp37yJWpcI52pE2sGplqlhs+Kkk5G+z0P6t/ri8fHnv951Nu9LslqADyzQ9WK9pAWv5nYAT1EiRUE/rwIoaAve3DXrWdzyZz7WeQx+qgWK0POLX7Id9Vxe+UP4k/KQJq3Ni22+j/CaSQF9/YKSBpZNZyFHrRjdy23TPNqH1f1eOEO5z+/QLpqFs7czreYlBJ7re5xx0/+E38978hOUrAGGATnlMCjehpRQEToJS2+Z4laXVJ2F8eYl6hjbnWj5yBNZjjvpdFPoPMZ6YCD2fTrw5CQez2AwGPYfDjgVXvQJOOVDz/qug2D5iVw0RTr6Q2bZMqydFgwirFyWrksvpXCaSgTSMU+PYlK5hDtmWJOuSZmEgL/2qzTsqsC0m7BU9r7jHWrzrsaC9F977RE8/s9nIdLRvsPMfC0tzP3tb5S4200yixYx47r/ove970ksF9mdJ+85eFos+N5OI/WsceuUAm88cU70WywLm9sZXd9/nPsDfuCtwLJEbIQtoVUJ2s5XX5xsTzqKY+trz+HrwVR9rTkrlcIfHQUpE/eT3igUXrguls4+6I9pC2n/EuoRQmBnI5NB+1knhDFiMtVOa4saUTppHykFIq2vWZDxLjitwNVYZyu03FjWQX0f7Y6OhoRJftXC7ovqXOZ6KwgbpBdkupSQUmbR/HHHRvsMXHZTDvnjjsXvXADL3w1OBp9kwhenrQd7tsrw2rlYRm3V5sdqWt+/eH/TFp9PnPSv/PPxKqFH4HqZ7o9ld51zvD4PL3StcwcG6LrqSqZ++l8hKBmCQ09Buzg7DkUnTVs5imOr6QkBO9M40AyS3xzbO8iJC7eFhbUXb1tDLYi1tS3G/qpEVfBM3d1zADNP3ULfYUOJPiR98Ks+o3/6U+I4dqsa0KeqglxJUkyLSNxZDm9d8lmKdgbpCVJelU35dpa5Rd5ZSfOebTvg6CtBCESsHAIyEhuVJ7ayvtgZijtQ5SMAFs2I3gOV/ukJcQfaRdZxwmdk3Y3R+rKYVERSwoNWXbkZIO/7uOPb8e5R9Q1dDwpFyTYhSY8n/S0DC56VysP625Gj28G2wbaxfJjpuxz6uGRbS/TseHYGYolztEc6c9armEPfgtcNKkvh9IXT6BwrYWu3SnT5CmtKK/fOrhNOsa+ZOoGXqqr783NvGbc+qd7Vfk0kkuZs7Xkl9xz6UYqkkTISeAEn/e1vHKsF1KCecdrxaDTh01IUyKrqc0s2qfNdUKmS9iauk5DWiapqwiafdqjFLHhbjh0n26V+z+iHZru24GV0f+4/KrJA29LHHR5M7F+MKVddjvsHQIn6QOBZtkQgyNblSQqSIG2vc7F/Whmy9zKTKfBuB+YJIWYLIVLAhcDPJvF4BoPhBc7sn/6EA278w65XfD5gWXDMmyYle1eQOXLCJCuxgZNwJPhBvTu9TA8w3SlTWPTQg+S69YjCySb/EE4g8Fr/74/h53WtUxg5foD+owcTyVgA2l92PoseejDMlphooxDYloiSLABi9rHQf3DDurtL/thjE/sDGgaRcb7xuqP4xPmx4znpMONiflqG9525KPotFsNhFyIB86GLT+Ohj52hDxbzu9ICo/2CC8j86Bdc8qJrdXuia5TPZ8JYImHBtDOz9H3gA+q7m8IbVgNFKxsTBIlYEhHGGPojIwjXRTSJUVSNjpbn5k3Hyqv9SCfHtB/cg92aIZPyVQxeKsg8quPAwiQ8OrGIPkYY3wmIlLrHdkd7sr3B4Rc2WrGDGEtVSkQJj64rroj2qQVe1W3BymSobNxKbembKD34IKt+khR4qVw2TPCT7Y2JgTFlCtteUJk54wI7EKonzT6VF899sW6/im2zYhYAkVFt88seB1Ur/Hj9RoSbofftbyc9Z0503y2XD54TCfAHO2fyktV/Cb9vua9V76+ZwFNtOb1cTLhmTR/dQqmqzicoWwGQO/JIFt53L+8/9grsLuicP5aw4ElP4BWryDpRY0vlbpcatFi0HtrGonfIPT0H8J+vOYKZM6bglS06R4YZSeexgcv8HLl4IfCOKI7Qrwg8LVD98WpY5zE8pu4ntfhERZNr4Pb303nxRXg7VBtrJXVdy1Oa1Jf0BUNe43sluPPepihOdf4GHUM6Ns5oOsOT8xbqXejJFUe35c5vImQV125BjszltFqBJYOwpjCbmadspePDr8OzM6Rir3S/LlvKspFuXjusbKZtIzchxipIX7Vfaqt351EzQnEZEL932bqKGWhL6h/9Q/j1o0oU+ad/mirRPah+5wcMLbqIGjZT9HH6m8UwA4Pl2MRKjHJVvdc6t1f5/FNbeM+2HaS8avjMDLu5RDKlVl+1q2bZ5NM2FZnirVfavOcymzNLRdId6u+K9VNV53WTTiST0f2ofU6yb7qxOoRuzguzPkvh4JUFlRGbsj5+0PZ8XZbTQOBZ9UmJJ3ov7sNMmsCTUtaAtwC/RXnkfF9K+YAQ4kohxJUAQogpQoj1wDuBa4UQ64UQE6dLMxgMhp2QWbAAt79/bzdjnycYYE+g7xL17spDTliAPYjTmLAkhWUlMyUGo4464TZtepRw5ANnLeKQi04h014Dv/mAYmfEB9ziFf/1rM+0Bteq9SUvjhYefhkcfCEnzu8hm4qJMidNz0EjzD5jMzn/LgBmfvsGpn/xC4li9SLWRtsSYVbT+usU0D1nBlt1Ep+42BWOE8YSCUvS+k//S+clr1bfUyn8ETVQTAiCeLbK0c2hdc8bHYH6+opxYn1FetVI4FWrWK3t5BcNqJgeXyB07TTpJbOFBuJS6tpu8Wx2vq4x6G3fkRytBs1ua6xDFQg8ZcFr0Z9jpSrCAZ6LSKXxh4Z4dPmJFO+4o2FfTjYTCiBx0HnRDyPKClDMK4ckz40EvwwyV8YSArVf8DKcnh7Sx0Y1GEVODaT9ikda+BxQrSaTKOnznd7VymEzOsLFj7dFVss47vTpfOyo1yaWBQIpng0UlEgcLqmBcmrmzHB5et48lT1VWFxZvVrvOMeU44IEQALpNZbesLX/n71a9cOBWOWA867/PAumFOg7+ghKO1K0DY6xuku/j+vLYJz7/tj5J90p5RPJc3B0xtaRuQNs0xMfcoK+and24RfHE+6HU5c0JsiQvmDEb3xXlIN342jkWzltGzg1iT1aois7wmOnHk2up0z72ChC+sotHZ1zyq+Q9wc51XucdjFKrgzbnXYWF76OOOuteHaWrqVR26qjyb6eixUpDIStV1N9LhB4Vls/b9yRjGsLJ1GATFWSLUff0zp+tyRTbNP9RFaqlDNJt/eCX6aGw4BOHjSjVmcK1GwfV/vOdifNX6maaq9Tliy8OUXLEw5utYLdphStZ1mkYtbLrla1vGo7pB2bqkyzqUOwZoogK32cjDpf7677AFiXCZI3FbjPn9XQrnxNvUO6DxxG2JEmk9g8+tMpSM+iYkUWPIDCuGRD7NVykU7G4+75n6J9jkmtgyel/JWUcr6Ucq6U8uN62ZellF/Wn5+SUk6XUrZKKdv15+Gd79VgMBgMz4ScFiVTWncdU+BTgAu/DUSZ56xc3YDpyj/DSz6vPju756KZXqhmwd+wfA7pLj3w9OqnnndNQuDtTKA8Axbeew9TPxnLkPjiz8L5X2nWGoSFEqsd6pxyhx1G4ZRTQgECgJNm7tmbOOBj5yQ3n8CVtZCJziuwdCEEwrJ4xf/7AC3TxmmfU4R8V2y9WJ2vKfG0NjH6FmN3tANQ27R555lo4wKv50DsmMADENkcvqeSN4isFi9BnF0wng1ErnY1i5daqDz2OADVJ59syE6p9h+bVNDXya9olzWbhIAO8KxYZsxMzM2tiYB0sxk6XvMa1cyXvjf6YVxZPKoZNQr0Y0Klsno11Fk9c0ccwbw/3UTurEtjbdf10YbHo+sYF3iBSq8T+Oef1Ogum118AFYqFWYsDHYYCCSrzqrykWWXsW6bspRk9DMHJNq8Xmp3yNZpZKcEYkIgdZ27KR/7aDhaThW0qB5Tx/vxMbFzL6g+0XFx5Fa8qb+z8Xwh4XKLBP+Mz4Vf/c3J+9MyVWeAFA5fX6yEs3SaP+tOt3oGaiUrtKa3T/OY/dr+sDxJwLCM2vS+onpGAsuYN1JEuA7jKXj1jT7f/H8etbKFk/Z5445PhO/Cq+79CaMczZb7W5R7spC4skyrHKNn6F78CozpbK8p28KzM4jaGN1vfnPT9lvxrKahwNMWvOBZGziCjimHJrart+B99XOxMiZ6uzJuWJZGlkuM9i2nYjvc1qf6RYdfoTpBcfqAlzz+J2q6kINVN5kw5yndPpT75hM3dWEhQ4En61Jz2IdfBqj7agmoxAT3iNdG92LlnhxMUI07Ktvp0JQTGJLNs1qu7+2he4neLlbLLpicrIikBW9gC6zrFaEbbUpPCtULPOk9/xTfpAo8g8FgMOx7TG3P8u8XLuWLFx+2y3X98VLM8qKtBNnkYI0pB8JhanCcECnBgLWJcJn5rW8x93e/VV9am1sqdoeEO+lO3CmfCSKVUmUGdoWOVWTJ+fDaXyR/i7tG5rpIFTzczjqHlQkseHHC+oDaTWnewpkMfPqfsE++uqHN4eEOP7xxRye8C6YcRGr6dAAqa9bsVCDHwzXdqVMjwaULZYt0WiVu8DNYBSVoQgtbnYtmuJ+YwAvKAwx85StIbTkIrITqvOMWL10geasyHzk5LymgNZ+Qr1L7FknL5/i99zasm8plaT3tNBY99CBub2RhDgReOaWEikfdALiJGA3pUS66IhOdx9imTHDAaD3tAl1//wdmq+fCHRiIakHm1GD5msCVUwS7EAhLIiy4tnoZa8/sx/7i1xhJ5blK13gM7ks9j8rpcMYn4aVfCfuN9KMYR7u9ndwSVVPMyXhYro/U9el+fUT0XAQ1I92+XtI9aj+z80/hYcHckxPHjAtM3xd4MQtebST5rFW1hbvqCwa1kBcTDLiD2MLauE26vUqqzSeVLZLpz6lJkBhDMYG3oK5epjc6jt2SZZu+ZI6vrnFQDL4yqtp00NbHeeKfr2fr/a2qrpxQ/V0JQBdZkYzq5BwZ11YxeJUx2l760qbtl1UvVGuBwFv9PzB2y63hhIlwXdz2GckNYxa8pask6ZiWtfTDW0JNDEgEfqWC63kU7TT/O0PlPe6iTN/6baErcDOuuu+nocCrL4GwaMvmRDvC4+u+K0WylqR01cWtWTaD41XOPXxu+Nu11Sv43pIvYnd3I0vKMld1VPyd47qM6hjax16ylHsPjGrIbnXbolCCoEyCjPVRX/KK8gf5D6mqtjk+PNURm3fRKUDrs2sG75rnE0bgGQwGwwuQc5dOozO/G4IoPrLXHxsseHHiYi6YtW8iXOyWPKkZepDSNn3X7ZiAhMCbJAvebqNdoZh3GtS71yUEnh5M1hf37lfbxF0XA/58zcnc9v5TsNqaxGQe+mo49cOJRYnr0ixRjD62O00d0x8Z2akFzxtV5zbl7Gm0nHACtq5Blj9RZWG10iqxhl/2wt8CF81w4r6ullTgeme3tSErav/u1KmhpSIuSBJ97qLvwoKzqG5U7pOplhqkG8XLDitaFnc3HP75zxvWbRbnCYDO8lpy2wHwhc2cMzc3X7eeS38Br/td84mHuEUr6Dd1EyFOp3LXlJUKqQHlIhq4kc6bkuwHXtVCOJJhp4tveadxZfofaDn8MNZ88mwuWaasyUFinKYsuwqmHx5axP2YBc9Kp1XyENSgOajjCDAW98iOXcPpLx9AHuySy5UZFq0QxKk1SewkPYE/nHTestJRX0zNUnGuZV9wV898bpp6MDsuuKTpaaRmqHMdXpfRNRltqJWgVsadNS+xbrkWq895wrsSv9We2oDdkmJbIeZOOWaHtQKDupM7YjVKy8MOIsiVJMEfVecUWPCyKRvPzkJlbMJ7IWueimW2nESM6tifb46sSLaNU0q6aLoDc+k6eykAp93d3Pe+JFMgBJ7jQLWKW6sw7qQZ1e0b/+1vOeLWhxq2qy8p4WnB5NdEQ3InZFL0AdH7AMGOTPRMDv3kp4ASeFtGypx7WCTwRmSWk868AFu/A3wBFQey0sfqO5AxXSxmR0cbN77kjdT0c1FKJPmSDe33sLhNLuJeK0qANZwTYbNtbdnb2KFLTJyh4qOrG55/OSKNwDMYDAZDktjsev8nPxF+DsZmiayMzbY99BLuOfjD0YB+J1k0gWdkwauPSdur6MyXFLc3/ha3XmXa1f91Aq/rDW9k6rIdtM6oi/wHprVn6W3NYOu4lSBb40SEyVgsa6fWRyubxdYF3HcmkKecv4BMV4X2o1RMlZXPc8CNf6D/QyrLq+iagV+zkJ7EygeumNri0KETamsh3/7yCwBItWiB192NLCrril1oIbtEuSbmDosszMKNXas5K+BV32H6Fz5Py2wXOyVhatJlDeC0ZYFLosAfG2v4HaCmr008G2uCC78DF34Hz1V92cNOWB53Sr4bZhydvK7BgNiKWQI79cD2iMsTm2cW65T2lUooxMMYQ93uwFXTrwos1+a6g78Tbp+uywTYbGLmxYck47CCZ3vjrR3URtQ1S0wW2DIUOaCsKuFvsfdGqqeV1IEWHdYow1YrLDpHWV4PT8YOAkhfFxa3BU5O7dvKRtcs3arafcK8PjzL5hNHvYaWZcsa9gOQnjMbd+YMKqMOSKHeCdUS1MZx2pPnX66oY2yadhpt7bMSv1WHqrj+eoqxV530LCxd53JgucqWO78WCa1aLaes1aqSRGjhKsXc1j07DbUSdmzSZepJksyR6rnyq55K9uPXVL/WuNOmh67NwnZwZ6mJlaCMA5f9iq4PfqnpNRkZUGKyamnrrOPiVyo4lRLdPW1ccorqZ9u+8hWq6Vhf1Yff9mDSOp7V8bJ+TZCfUqbnTVG/LQzUVXYnmqiRQtW8CyhpS3rVcli/YxzXjY6TEjXSjoXVqratZFRQXaYwlcyJb6eii6IXPZtc2mG8TVlu4/HGQXf0S9H79LSlagKgEpt0rDjEBJ7qf49OF2Q++Qq63vB6ALztUb3F5wtG4BkMBoOhKT3/8E7azzsv/B4MLq2JBsMB536BHZ2HRm5zuxJ4Tgpe8U1440173Mbk4HPn8SOTzoprYP4ZcNAFjb/pJClAlBnVT7r3iVSKtouvQFxa594Zw25TFgOnp3unTQmvS332t+75+v/ImpEKxMNOBHLHMbOYfdpWhBsNTN3+/vA4Vmvk4mYV1H239My9ffSFcNlvoF0JvSkf/SgHvOQpnKxOGpFOR1a7lhZazzqLub/7LS2nxNz6hIC336P+aQorVjDwGh2nduDLGtp8/mmRa6o3ONj0vMb1BIE10aRFoQ8WnhUaIX3hNGQP3BWJZCV+k2x8LT3w4SE45JWJxU5PD73vfjcDX/4Sdpe6vsE9CkR76C5XtbAyKax8dB/C5D2aZlajf3/lUh79eCwhTOw6lB5apZalUuFgX1gydFNUCybILuikELUSnWKEp6o5aJ8B/7gd+qK4wjm//AX5pfORnro/dj6DpQu8WdnoubZ1u2e2Ozz28TO5/vKjOHpOY+mUgNTMmXglS01I2Q5URuCp+3DakgLvzrJ6BvqOfiWtafVc2Z5ESqgWlZCv1r1SAnHr5nzyhy0hvyOy5vplH2FLJfJicV/lmJjwtcgSVjRJ0HZwFzNOUc+z05oO35dxC56sVkMLnnBshnUpku//21nMu/lP0NKbzPCqmXHSVirLtFXWVvdWOg6yWsUvjlNoL/Di46PYzGouuv/bHipQGnSopOcnr68WmtJTFryOl0fupunWxrIIYSkWBDWr8R1TtWwW9BVw0rFMw/ikHAtLJ/SqaYtuJtNOPpPC1u/6omerRFda2E3tiSbSAutiWAIGyBZy2JZIZPMsu+DrEg0dIrrm2Sk9ONp1t7a9yaTdPo4ReAaDwWDYPXQSD6t37i5W1ARxRk3+qDew+FzoP2SPm9RsULPXyHfDRd8L3foSxN1Ug4K51cbZbk77KMw+YeJjaItN5sCd1/gLyz3Uu8Qd+DJ4/e8Tgig1T9cDc3YikHXSGGrNE+HELYqBS1bnJa+m7/3vp+N1b4aZx0SnIATu2e9HLn65+p5O42p33WAGPjVjBk5PVAstu3QpdMxS/+Kc9x9w1V8jt9cYcfHf9/73NW33mHYd3FU/CjPySQkTaJqJyCxcEIpdIJlpdhd0Xf46soccghMUWA+ssbofSP2/VxWI1u4wgRI0EXhNLHiWJXDtWDKamMCrblfWqTCxD2rQ3HfoMNkjj+SqN+2kv9hp+lssWhmbMCFGeu5ccqeoREO1zZux89mw5p2dTZE/QT0HQVZWamUc2+KEeT1N9xfgdHWrEgm+SFhPnXzyxhXLGWaXvgUHvxx7uMjVP/H4zqc8iptT+FWLVItHQST9E+OJRcLEPRq/7GO5EiwlLoM6cxXLpUULFC+49/rZbz2oHXKd2N4g0z7zbwxcenBYHC+eEdUvFhn8wQ/UF9vhiL4jaEu38dplb8YJLPB1rsDlV+XI91XoECrpSEm64XqyWkWWy1ipNE4sCdN4XfmJrQ8UGF+bdJ/Ne6rt0hfKolso0P3Wt6hlsddN8EzZBSWe+9tzfOzljZb2X159Ije84WjcWBztn/0lpGwrtKzXtEU3o0VqRnsoDFagJe1QC2oFtuqJr3P/A07/mLp2o1EtSaenh5vfexL/ctGR4bKzSqN06OyehZinQMrJhGVPvB2DDe3e1zECz2AwGAwJWk5SlpP8Mccmlodp5JvUKWtKGGe0ZxaPPWG3kp/sawTxSBOIpZ2RP2YZve9+V1jvbiLCuDu/LoBGCJh+RMLykj1YxTjVNu0ktqxPC8ogkUwd6QOiotGB2BOuS+drLmluGTzx3bgv+wgAHRe+kpnXX8+M/74u4eaXnj1b7a+jY+L6fNkO6FucWNT1xjfScuKJYXH5zb3LSc+Z0zQWbtDRSTt2YZUOju76pT0uieVOnaqsLAHObj4/MYKBZjBYFXYg8ALlKbDaexNlO2wr2dCdxuAF68RKoAz98vfqWCmX4AoIS7nWzrr+m2xrU8umf/lLjf3RSZOzamSo4DkTlFUhcrGubtmM3ZoPraNWLs30L3yeA276Y+x5aTIh0gSnu4ta2dIxeDFLYGkDA1/7GjNv+BYAhUqR5fP7AFh78as59kF17OG1Outla42T6wp1t82OrEHN4jYtVyLwwVcWLoCK7fCqo5T12rcCgVdk4ds6mHr+bNWHi9tpPfNM3BY7rMcY72dbPvMZtv3n19Ryx2FB5wJuvvBm5rRHsWT1Hgztc49S/2uBh7a+W66LrFSQ1SoilUqch1dKehX4NUFlizrn3NFHA7DVawcCCx4g7Nixo0Y72uocJIaybYvOgcYyRoumttHdksbWbtAXDY0gsXBsK2ybpy26QTKmjH6WBbCwv0B3QfWRgxfOVNbwQy9GLFKWaW9ECdR0e5WuN7yB/rYsc6dHFuDllXGyoqyvbXQtMnYWK5NB5HJs/+Y3kZXm7759lb0csGAwGAyGfY3cYYey6KEHG3/QFp7dtpoFAzOvuvP1XkhYTlSrr9YYa7crhG3Tdfnlu1wvnoFyV8QTrUzI3JPgxGvggFOb/pzSYgzAiWeh3Nlxe3sT/cztS25nd3fTcdFFtJ5zTv2mO6X3HVdHX65Zx+q/3slMYOCrX2HdpZcl1q0GdbGaFM5uRspTg93Z71pOufdsXJ38ZFcknpnARXcPCESzpwVekGyn3DeV7IbValk22yyHSciE5TLipDK0ziwyvDYSg4k41ybuqYUVKxr346ShVmZGa46psye+RoF1sLZlC9lZvTCiLXgtOax0Gqu3NxQmVHfveXG6u8EXFLekyXXFLOfj22k5/jiqT6nkPO9Y1sdBr1FuvJVVq2KrKfHg5jw9KRCdczwuLrA2W4VC+OxYjo/nWUgpQgvepy46kpmnqoyqcQue8KvKsu/moneBVwkteBMhdmZpjzHzoJPwHvseHag+8+rjF/Cte4ZIZZRLtKxWQwun3dmJt307HSOjZDoqlHY0Tnh0XfEGirfeiufb/OS0P7H4xxeo/mBZsToNsTqUhQKwMbzHTlcXucMPJ7NkCaUHHmhssJPhntXrEEBQhEboupM7bCXA7tuqauJl0g6MgYXPiw+eyrpaBQ/I9vdFx9fvQG+rip/rvvq9oWdDvE9btsSeLvEfAiufJef7FC0LV08O9Lz5TYzffc+kZWmeLIzAMxgMBsNuIexk/M8uCTIbFp9/AeqTwvs2qP8f1Fkcn4bA2132RODFXSEn3qENJzV3cwQ1QNyj/e0GQgimfOiDz2wnmbZw8JlvkpjjsNldVLetSrghNuOcQ6by7dvWcexAGjZAZtZUMqe+ZLebEVgg2+eOQXbGLtZuxAqs5rqERGb+fAb+86vMmTWLVaedro6RTjNaboyBCtvgOPR//J+iJDjN1nGzTDtmkLGn0nhlO2g80lfCJp418aPHfpT5nfOb7SYUeLZlY6cnthwGwtfbshX7kPn4T6n9Ox2xpETBe6Q+neMEWIUos6VwY/e1pCw5QTmHOQVVYLuesi4BYaV8bdFp/pwGkwJ2R0co8GxX4tdUkpTAgtfX04alralxCx6eFnhOOnLX9qoqBm/2crDTzDp9JWt+V/c87Wassci2UbEy5HyVLOc1JyzkNSdnWLXyMw0Cb8qH/5ENb3s7bq0W1vgDEs4XgShyvSp2vhPpCSxLquQ5gbU4VpAv2Hdq1kz6PngthVNViYTpn/8cj518SmODbQer7yDe8URU9iDoH0UtrPPaypfTLprLZnckLH12Z2SZs3XsXyDorWmLov3GJnQsR1I4qEzHonGcwjS+9eQT/CmXwdWJsXZnQm1f5Hno22IwGAyGvUFQKFlkJna5SnDg+TDj2KhG3guddIv69wwseLuLvScWvD41650/9thdrDkxcdFvdzbGw+0r9F4TFTEf+OpXSGWDGLydz853t6T53TtOpOMglTadRS/e42Mv+u4H6T9yKMqiugcEsXFBbUGAlhNOID0wQFrHUHrbt4elT3oLzQVr+8teRusZL5r4QDo+NCgDAKoOn9T1Di03GvG/dN5LWdLVWIwdUHGGXllZ3XbikhqUggAllAINlxB4x10Ny94ER7xu4nbHmLB0yqt/qJYFpSBKE7hIa4FjuxLfSrb9X+w3RvsOBV57uMxadCpMPzQRg5dwgYzH4Pk1JebcbOSu7deUi+Zrfw6v/iHZzkbvh93OFuxkqGpBKRHhe0fEXTT19Ym3sTzoku1W7fEq6rnu//jHw+v6T3/5T3Ll8TAGD8smPVf1wVR0O6MJQdel8+KLQwu9O3UqU//1U3qlOn/nq27mx34Ugxw8lwfOOJIzZ5/J7y74nVqu3zeBR3JQVzA1a2a0bS4HlkX50UfVcfsjC3a9VbrPHsTNVMHNMa9a5XVDI+pd/TzGCDyDwWAw7Bb9//QxZvz3daSm72ZZg3QBXvdrmHX8rtd9IRG4nE2i6+qeWPDstjZmfP2/mfa5f39Gxxz4r68x89vf3qfjIrsuvTR0IW1ZvhxLJ8oIBqO7ZNphKsZn2mG7XrceXaD96bhoBu2UTQp8++NqoqD7LW/hgsOm81+vPYJb39/EQrI76AyOTkYdp+sNr0cIEdYptB0Jb7hx1/txMsriVh2Lkgo1Wy3mzmt1dOPrgudOZ+wapVvgjE8ki8PvhNYzz4gdQAu8qYfBDGXBDQSeLO1kgsWSCFvie+p6dF56KXN+8XNu4cBoFT05YMdqU1ozD0JkCkhPsOFmnfk0Zi1qsOAFLtu1cdj6GDz8q2Smkvc31l/bnWzBbksN3CxVXU7As9KhmBKu22DBq3e7n7FiG05bGq+s7oeVy0ZJU5BMfe1LlMDTMXiFk09i1g9/SNsCh4Hl2+hdOhzVTmwiSAPXy11ZIwNR2dU5nU8t/xStKWWdtfR2WUdbxl/xcubffhup6VFNVSEE+D7VJ54AwJkSxf/FzzdInCOkn5yMaFJb8/nEvvsWNhgMBsM+hZXLkT/mmF2vaNg5c0+BQy+BMz81aYewcrs3GA7IL1sWZr98urQcdxy5wxqz5O1rzPrhD5jxzW8AUQyYrD4HCRQCi+3TEHjhgLTW6II5/Qufp+cf3knLCcdjWYJTFvVNnJRmV/hK2Dm6mHngzunXdH061989cRtLbrJTC15M4DnT5+BVVbudgQMm2mSXCNsmf6xKMCJS+tilweh3IRDpNL6u5zb445807MN2fYRAuVsC2UMOJn3AAYz7kVixsuoZi2cndTq7wLGpeZGXQ9z9N7TgbV8No0+pmDsnqyx3v7ha/bbp/qghqTx9H7w22baunZdIAZhz5mZwMlSCMhqxeyBSKWSliqxUQgFV76JsOcqKGljwRDbbNAZNzF4WWgazBy5BZAq0TC3TtaQaTfRYjSIuPO4uBF4YM1f3bloyTZkKDx9Qz5IQIiyK3nQ/uVzosglJgRcvR0GsDAwpY8EzGAwGg2GvMff//o85v/j53m7G7uOk4NwvhHXhJgO7+9mJg9sfcXt7yR+lBUDorjd57rIhJV0U+5m4aDax4GUWLqT7DW94Ji2LkGr/HXOLZA45mLbzzlWLAxdNZydZXOLkYiLEae4uCkl33uwhS/G1oHAOPGlPWt2433Zd+Lqgn4PpRyV+F5kM3rbtFG+/ndGVKwFof/kF2Lq+ZHCe6VnKrS9IInTtuUsT+4CkG6jIZhCWjV+JJWaJlRAJLXhP3Kb+bxuILJxlneQoG/NzBDovvjj83HbBy8gsmCDuEWg59RTa54wpTeVmyek2OqmY4GxmwasXb4WpyHRnaFG1crmo9Eqcuack3SwDq5ftRtY5v7HPhgJvF+6mUgZZVZMTVqm5qtC7O/PIhm3iBMKw4zWXJI8f8zKw3vSH6Ie4wEu38nzGJFkxGAwGw/Oa3XYZfQFht+SZ+q+f2mlCDQNklixm6Ec/wp3SmL79WScUeM+ui+aziq4Hlr3wQ8w+7m3hYllWMVnWq7+9e/tpi1zldmbBE0Iw7bOfobphA+n588gcuYLqyptxuiYuZL47hP3eTcE7HoBccn9WKsXQT37C0E9+QuH003H6+uj/2MeQH/gAQ//zozBbaPdLl1O4/ENkFiwA4PgFMTc/HYuccEmu1RCpFH5JWYWmfvJjCctRaMELEk8tPhfW/ll93ni3+v/C70x4XlM+uPOkQwNf+AJ8+Hp97lna8jmVbTIu8FIpZLlcF4OnXXM725h+xGPQu5zyw1GGWyuXb2rBq23ZmlwQiCLLjkp5+I2TAkInSaGJwLv61HlsGlYTLnJ8PGxzgnmnwXvXNIjhehbccTvj995L5sADJ1xHdM6KvsQnI57nMXhG4BkMBoPBsB/S9uI9TwTyQqPjoovIHngg2UMOee4O2rJ7ZSTihC5l1UkuOaIFHtn2xOL0ggUUb7kFa/4Jjds0Iy7wmrjoxWk9I4qZ6//0Z+l6/LGE1evpEFhuhOMm26KJx8WN339fGLMaj+ECELm2UNwBiSL1wtJDaNsmf/zxjN18M60vfjGjf/5z1I5CUoCEFrxA4LnZpAC20zBzYjf4PUrV72TDmnrEahFa+Tx+sajr4CmhlZ43jxn/fR251CrEz9/UIIhTs2bSrAZHbcuW5ILAgme50X1vZsFzgkyljedz9amRhdKdpu5H9pCDG89vF+IuXO3gJttOtJ+hDdHnp1Gvcl/CCDyDwWAwGAwvSIQQz524O/4dykJw6Kv3eNMwMcikW/D0/q3k8HD65/6d8iOP7H7ynrhAsHZ/qGm35J+V+2G17LydgUUUoPbkRjJaBKQOULF/1THd5no3PTsSJIH7IJZgxtf+M1onpoMC19qAyIK3Xf2fyieFRNvOvRH2KLbSzUTtjSW6sVry+CMjCQseoOKrR+ZAvheOvxq4OfwtiM/t/9S/sPE9USba9gteljxmcLziVggseE36rN2hRFXXlW9s+C1Ox6svpmXFiaTnzt3pek+Hvg99kNqmzUkX0zEtWNsGGjN8Ps8wAs9gMBgMBoNhskm3wInveVqbBpaOvSXw7NZWckccsfv7iQujQ171LDRszwgEyYSZMuPlEwArr2K8HJ3AJKhhl0gWA0lrpBZyot5C6UdJO8L6hcEmwlG14oratdHNJrOMvvp/mjZ3zq9+2bw4eDMOejnc9wMlHIOi6TELnt3Sgjc0BFI2ib3rg3c/mli04N57ws/ZmKtjetEiWk48Mbn94nPhgR8BMOXaa9mc+temibnSs2cz769/wenYuRXOSqcnRdwBdF50UfSlfSYMroWBo2HoCeh6+kl+9hWMwDMYDAaDwWDYhxHZLPnjj6fztZNcU3L+i+C+78OUXbi17Yp4XNpOkqxMFoGlUfoTFEeviwsL1m+w/Ll12WhjVp2w7rqdzFcoYy6J9RY8hFD7rIxG+49b8DrnNG1ues4c0nOa/9bAuf8Bp39cidHARTNhwSuE7paiTug2I+5Gmagf18zCteQ86L8LyiOk+geY/vnPTbjfXYm755Sr74XKmHKRLUyBY9+26232cYzAMxgMBoPBYNiHEZaVdAOcLA66ABactds15/ZVfJ0Uxm5tnglR1pKxjLZOypIoFfKan8LMYyc8Rts55zDyh5V0X3FF3cEj8RgkL0ngZpXAsxyVbfLZjvVyUsoSBzELXtJFM8DeSTKbWd/7LuVVqxPLrFgpgr5rP9B8wwlE6j5PSl+XF31877bjWcIIPIPBYDAYDAaD4tkUd4Wpz96+9gRtXXKn7vz4qZkzqaxdG7PgxQTenBU73dbu7GLmN77esLzr9a9n7E9/AmJxenHapqtYL1cLislM5mFrgRdL/x8Xva1nnjnhptlDDmmIh7RbW5l/x+1Y+fzTr7VoeE4wAs9gMBgMBoPB8Ozy/o0q3mwv0H7BBchikY7XNHdpnfbpTzP4/e8jPV8JPC3s6uut7ZQJBE7+6KOYf9utDP/mN6TnzWtcYd7p8ORdTd0nn3XsRgteXPTGXS53e5ctz+/yAS8UTKFzg8FgMBgMBsOzSyo3ueJlJ1ipFF2vf33z4tyo4vBTPvShqN6ejqML0vc7PT3P6Ph2aysdr3hFcytXqxZYpWH1/2Ra8AIXzXTkWulObywbYdj/MBY8g8FgMBgMBsMLjiCmzB8ZDZfNvOFbuNMHJu+gBV0s3ddxgJMp8LyK+j8fCVant5fO172OtnPOnrzjGvY6RuAZDAaDwWAwGF5w2AXlbuiPjITLcocfPrkHzddZB2Pxcc86pSH1f0tvuEgIQd973j15xzTsExiBZzAYDAaDwWB4wdFyyimkvvZfdL7udbu/0dvuemZWt0xb8vtklpEY0/X28r07X8+w32EEnsFgMBgMBoPhBYfT0cHc3/x6zzZ6pmUAsnX135xJtOANb1D/9z/DuoaG5x1G4BkMBoPBYDAYDM8F9RY824WBo2HZm579Y114A6z6oyrebXhBYQSewWAwGAwGg8HwXGDZye9CwOW/m5xjzV6u/hlecBiBZzAYDAaDwWAwPFecdC1MO3Rvt8KwH2MEnsFgMBgMBoPB8FxxosliaZhcTKFzg8FgMBgMBoPBYNhPMALPYDAYDAaDwWAwGPYTjMAzGAwGg8FgMBgMhv0EI/AMBoPBYDAYDAaDYT/BCDyDwWAwGAwGg8Fg2E8wAs9gMBgMBoPBYDAY9hOMwDMYDAaDwWAwGAyG/QQj8AwGg8FgMBgMBoNhP8EIPIPBYDAYDAaDwWDYTzACz2AwGAwGg8FgMBj2E4zAMxgMBoPBYDAYDIb9BCPwDAaDwWAwGAwGg2E/wQg8g8FgMBgMBoPBYNhPMALPYDAYDAaDwWAwGPYTjMAzGAwGg8FgMBgMhv0EI/AMBoPBYDAYDAaDYT9hUgWeEOIMIcTDQojHhBDXNPldCCE+p3+/Vwhx2GS2x2AwGAwGg8FgMBj2ZyZN4AkhbOCLwJnAYuBVQojFdaudCczT/64AvjRZ7TEYDAaDwWAwGAyG/Z3JtOAdBTwmpVwlpawA3wXOrVvnXOCbUnEL0C6E6J/ENhkMBoPBYDAYDAbDfstkCrxpwBOx7+v1sj1dx2AwGAwGg8FgMBgMu4EzifsWTZbJp7EOQogrUC6cAKNCiIefYdsmg25g695uhMGA6YuGfQPTDw37CqYvGvYVTF80PJvMnOiHyRR464GB2PfpwJNPYx2klF8FvvpsN/DZRAhxh5TyiL3dDoPB9EXDvoDph4Z9BdMXDfsKpi8anism00XzdmCeEGK2ECIFXAj8rG6dnwGv0dk0lwFDUsqNk9gmg8FgMBgMBoPBYNhvmTQLnpSyJoR4C/BbwAauk1I+IIS4Uv/+ZeBXwFnAY0ARuGyy2mMwGAwGg8FgMBgM+zuT6aKJlPJXKBEXX/bl2GcJvHky2/Acsk+7kBpeUJi+aNgXMP3QsK9g+qJhX8H0RcNzglAay2AwGAwGg8FgMBgMz3cmMwbPYDAYDAaDwWAwGAzPIUbgPQsIIc4QQjwshHhMCHHN3m6PYf9GCLFGCHGfEOJuIcQdelmnEOJ/hRCP6v87Yuu/T/fNh4UQL9p7LTc83xFCXCeE2CyEuD+2bI/7nhDicN2HHxNCfE4I0axkjsHQlAn64YeFEBv0e/FuIcRZsd9MPzRMCkKIASHEjUKIB4UQDwgh3q6Xm/eiYa9iBN4zRAhhA18EzgQWA68SQizeu60yvAA4SUq5NJZu+Rrg91LKecDv9Xd0X7wQWAKcAfyH7rMGw9Ph66h+FOfp9L0voWqbztP/6vdpMOyMr9O8z3xGvxeX6hwAph8aJpsa8A9SykXAMuDNus+Z96Jhr2IE3jPnKOAxKeUqKWUF+C5w7l5uk+GFx7nAN/TnbwDnxZZ/V0pZllKuRmWsPeq5b55hf0BKeROwvW7xHvU9IUQ/0Cql/KtOtPXN2DYGwy6ZoB9OhOmHhklDSrlRSvk3/XkEeBCYhnkvGvYyRuA9c6YBT8S+r9fLDIbJQgK/E0LcKYS4Qi/rC2pI6v979XLTPw2TzZ72vWn6c/1yg+GZ8hYhxL3ahTNwiTP90PCcIISYBRwK3Ip5Lxr2MkbgPXOa+Uib1KSGyeQ4KeVhKLfgNwshlu9kXdM/DXuLifqe6ZOGyeBLwFxgKbAR+H96uemHhklHCNEC/A9wtZRyeGerNllm+qPhWccIvGfOemAg9n068OReaovhBYCU8kn9/2bgxyiXy03axQP9/2a9uumfhslmT/veev25frnB8LSRUm6SUnpSSh/4TyJXdNMPDZOKEMJFibsbpJQ/0ovNe9GwVzEC75lzOzBPCDFbCJFCBc/+bC+3ybCfIoTICyEKwWfgdOB+VJ97rV7ttcBP9eefARcKIdJCiNmowO3bnttWG/Zz9qjvaXelESHEMp0l7jWxbQyGp0UwmNa8FPVeBNMPDZOI7jv/BTwopfy32E/mvWjYqzh7uwHPd6SUNSHEW4DfAjZwnZTygb3cLMP+Sx/wY5092QG+LaX8jRDiduD7QojLgXXAywGklA8IIb4P/B2V7evNUkpv7zTd8HxHCPEdYAXQLYRYD/wj8En2vO9dhcqEmAV+rf8ZDLvFBP1whRBiKcqtbQ3wRjD90DDpHAdcAtwnhLhbL3s/5r1o2MsIlazHYDAYDAaDwWAwGAzPd4yLpsFgMBgMBoPBYDDsJxiBZzAYDAaDwWAwGAz7CUbgGQwGg8FgMBgMBsN+ghF4BoPBYDAYDAaDwbCfYASewWAwGAwGg8FgMOwnGIFnMBgMhucNQohZQoj765Z9WAjxrj3czxohRPcu1nn/02jfOUKIu4QQ9wgh/i6EeKNefp4QYvGe7s9gMBgMhj3FCDyDwWAwGJqzRwJPCOECXwVeLKU8BDgUWKl/Pg8wAs9gMBgMk44ReAaDwWDYbxBCrBRCfFYI8RchxP1CiKP08i4hxO+0de0rgIht8xMhxJ1CiAeEEFfoZZ8EskKIu4UQN+hlrxZC3KaXfUUIYdcdvgA4wDYAKWVZSvmwEOJY4CXAv+pt5+p/v9HH/ZMQYqE+xteFEF/Wyx4RQpyjly+JHfteIcS8Sb2QBoPBYHjeYgSewWAwGPY38lLKY4E3AdfpZf8I3CylPBT4GTAjtv7rpJSHA0cAbxNCdEkprwHGpZRLpZQXCyEWAa8EjpNSLgU84OL4QaWU2/W+1wohviOEuFgIYUkp/6KXv1vv73GUpe+t+rjvAv4jtqtZwInA2cCXhRAZ4Erg3/WxjwDWPwvXyWAwGAz7Ic7eboDBYDAYDHuA3I3l3wGQUt4khGgVQrQDy4Hz9fJfCiF2xNZ/mxDipfrzADAPbYWLcQpwOHC7EAIgC2xuaISUrxdCHAScihJupwGXxtcRQrQAxwI/0PsCSMdW+b6U0gceFUKsAhYCfwU+IISYDvxISvnoBNfBYDAYDC9wjMAzGAwGw/OJbUBH3bJOYHXse70IlBMsRwixAiXGjpFSFoUQK4FMk+MK4BtSyvftqoFSyvuA+4QQ1+t2XVq3igUMamtc01007lJ+WwhxK8qq91shxOullH/YVVsMBoPB8MLDuGgaDAaD4XmDlHIU2CiEOAVACNEJnAHcHFvtlfq344EhKeUQcBPapVIIcSaRSGwDdmhxtxBYFttPVSdOAfg9cIEQojc4rhBiZrxtQogWLRgDlgJr9ecRVIweUsphYLUQ4uV6OyGEOCS23cuFEJYQYi4wB3hYCDEHWCWl/BzK3fPg3bleBoPBYHjhYQSewWAwGJ5vvAa4VghxN/AH4CM6ri1ghxDiL8CXgcv1so8Ay4UQfwNOB9bp5b8BHCHEvcDHgFti+/kqcK8Q4gYp5d+Ba4Hf6XX/F+iva5cA3iOEeFi37SNE1rvvAu/WSV7mosTm5UKIe4AHgHNj+3kY+CPwa+BKKWUJJVrv1/tdCHxzdy+WwWAwGF5YCCknCmcwGAwGg+H5hXaxfJeU8o693ZangxDi68AvpJQ/3NttMRgMBsPzE2PBMxgMBoPBYDAYDIb9BGPBMxgMBoPBYDAYDIb9BGPBMxgMBoPBYDAYDIb9BCPwDAaDwWAwGAwGg2E/wQg8g8FgMBgMBoPBYNhPMALPYDAYDAaDwWAwGPYTjMAzGAwGg8FgMBgMhv0EI/AMBoPBYDAYDAaDYT/h/wPjypKSMt+ZcQAAAABJRU5ErkJggg==\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "losses = [adagrad_loss, adadelta_loss, rmsprop_losses[1e-2], adam_loss]\n", "smoothed_losses = [moving_average(loss) for loss in losses]\n", "labels = ['adagrad', 'adadelta', 'rmsprop', 'adam']\n", "\n", "plot_losses(smoothed_losses, labels, 'Adagrad vs. Adadelta vs. RMSprop vs. Adam', ymax=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nope, no clear winner. Looks like Adagrad, Adadelta and Adam are all pretty much equal for this experimental set-up.\n", "\n", "## Conclusion\n", "\n", "In this notebook we've gone through the following optimization algorithms:\n", "\n", "* SGD\n", "* SGD with momentum\n", "* Adagrad\n", "* Adadelta\n", "* RMSprop\n", "* Adam\n", "\n", "Hopefully we've learned a bit more about these algorithms and no longer have to treat them as mystical black boxes that we have to worship in order to achieve convergence.\n", "\n", "Our experiments have shown that all the adaptive learning rate algorithms beat the fixed learning rate algorithms. Out of those adaptive learning rate algorithms, RMSprop is clearly in last, however the remaining three: Adagrad, Adadelta and Adam are all pretty much equal.\n", "\n", "As mentioned at the beginning of this notebook, these experiments show the performance of each optimization algorithm on a single model architecture and task, all on a single seed. Just because RMSprop loses to Adam here, doesn't mean it will always do so." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.12" } }, "nbformat": 4, "nbformat_minor": 2 }