notebooks/2.pytorch-nn-training-cars.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Using PyTorch for simple regression\n",
    "\n",
    "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/parrt/fundamentals-of-deep-learning/blob/main/notebooks/2.pytorch-nn-training-cars.ipynb)\n",
    "\n",
    "By [Terence Parr](https://explained.ai).\n",
    "\n",
    "Once we can implement our own gradient descent using pytorch autograd and matrix algebra, it's time to graduate to using pytorch's built-in neural network module and the built-in optimizers (e.g., Adam). Next, we observe how a sequence of two linear models is effectively the same as a single linear model. After we add a nonlinearity, we see more sophisticated curve fitting. Then we see how a sequence of multiple linear units plus nonlinearities affects predictions. Finally, we see what happens if we give a model too much power: the regression curve over fits the training data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Support code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import sys\n",
    "import torch\n",
    "import torch.nn as nn\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "import matplotlib.pyplot as plt\n",
    "%config InlineBackend.figure_format = 'retina'\n",
    "\n",
    "import tsensor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def carshow(m, b, X, y, xcol='WGT', file=None):\n",
    "    fig, ax = plt.subplots(figsize=(4,3))\n",
    "\n",
    "    ax.scatter(X, y, s=15, color='#F46C43', alpha=.5)\n",
    "    ax.plot(X, m * X + b, lw=.5, color='black')\n",
    "    ax.set_title(f\"$y = {m:.3f}x + {b:.2f}$\")\n",
    "    if sum(X)/len(X)<1.0:\n",
    "        ax.set_xlabel(f\"{xcol} (Standardized)\")\n",
    "    else:\n",
    "        ax.set_xlabel(xcol)\n",
    "    ax.set_ylabel(\"MPG\")\n",
    "\n",
    "    if file:\n",
    "        plt.savefig(f\"/Users/{os.environ['USER']}/Desktop/{file}.pdf\")\n",
    "    \n",
    "    plt.show()\n",
    "\n",
    "def mshow(model, X, y, xcol='WGT', file=None):\n",
    "    \"Plot X[xcol] vs MPG (y) and show model predictions for each x\"\n",
    "    fig, ax = plt.subplots(figsize=(4,3))\n",
    "\n",
    "    with torch.no_grad():\n",
    "        y_pred = model(X)\n",
    "    ax.scatter(X, y, s=15, color='#F46C43', alpha=.5)\n",
    "    ax.scatter(X, y_pred, lw=.5, color='black', s=1)\n",
    "    if sum(X)/len(X)<1.0:\n",
    "        ax.set_xlabel(f\"{xcol} (Standardized)\")\n",
    "    else:\n",
    "        ax.set_xlabel(xcol)\n",
    "    ax.set_ylabel(\"MPG\")\n",
    "    plt.tight_layout()\n",
    "    if file:\n",
    "        plt.savefig(f\"/Users/{os.environ['USER']}/Desktop/{file}.pdf\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load simple data set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>MPG</th>\n",
       "      <th>CYL</th>\n",
       "      <th>ENG</th>\n",
       "      <th>WGT</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>18.0</td>\n",
       "      <td>8</td>\n",
       "      <td>307.0</td>\n",
       "      <td>3504</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>15.0</td>\n",
       "      <td>8</td>\n",
       "      <td>350.0</td>\n",
       "      <td>3693</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    MPG  CYL    ENG   WGT\n",
       "0  18.0    8  307.0  3504\n",
       "1  15.0    8  350.0  3693"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_cars = pd.read_csv(\"data/cars.csv\")\n",
    "df_cars.head(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# normalize the data again; regression will be WGT -> MPG\n",
    "n = len(df_cars)\n",
    "X = torch.tensor(df_cars.WGT).float().reshape(n,1)\n",
    "X = (X-torch.mean(X))/torch.std(X)\n",
    "y = torch.tensor(df_cars.MPG).reshape(n,1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Pytorch built-in linear model\n",
    "\n",
    "We've been doing our own matrix arithmetic to implement a linear model, which is really just a linear layer with one neuron in a deep learning network.  Now, let's use PyTorch's built-in linear layer component.  We can also avoid updating the model parameters manually, which can get very complicated, using a built-in optimizer. Let's copy the PyTorch training loop from the previous notebook and make the necessary changes. Side-by-side, here are the changes:\n",
    "\n",
    "<img src=\"images/LA_to_nn.png\" width=\"800\">\n",
    "\n",
    "The `nn.Linear` object represents a single linear layer and we must specify the number of features for each instance coming in and the number of neurons in the layer. A typical linear regression model is\n",
    "\n",
    "```python\n",
    "model = nn.Linear(in_features=1, out_features=1)\n",
    "```\n",
    "\n",
    "Graphically, that looks like:\n",
    " \n",
    "<img src=\"images/nn.1-layer-regr.png\" width=\"200\">\n",
    "\n",
    "One of the key elements here is telling the Optimizer what the model parameters are. The `parameters()` method of the standard neural network layers returns a list of tensors, which the optimizer adjusts during training:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[Parameter containing:\n",
       " tensor([[0.5444]], requires_grad=True),\n",
       " Parameter containing:\n",
       " tensor([0.5822], requires_grad=True)]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model = nn.Linear(1, 1) # each instance has 1 value, spit out 1 value\n",
    "list(model.parameters())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here is the full training loop and visualization calls:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch   0 MSE loss      646.149 MAE    24.19\n",
      "Epoch  10 MSE loss      228.178 MAE    14.37\n",
      "Epoch  20 MSE loss       53.313 MAE     6.08\n",
      "Epoch  30 MSE loss       19.758 MAE     3.33\n",
      "Epoch  40 MSE loss       23.657 MAE     3.95\n",
      "Epoch  50 MSE loss       21.987 MAE     3.77\n",
      "Epoch  60 MSE loss       19.018 MAE     3.35\n",
      "Epoch  70 MSE loss       18.776 MAE     3.28\n",
      "LAST      MSE loss       18.776 MAE     3.28\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 223,
       "width": 270
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 207,
       "width": 280
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = nn.Linear(1, 1) # each instance has 1 value, spit out 1 value\n",
    "\n",
    "learning_rate = 1\n",
    "optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate)\n",
    "nepochs=70\n",
    "for epoch in range(nepochs+1):\n",
    "    with tsensor.clarify(): # this visualizes any errors we get but you can remove this if you want\n",
    "        y_pred = model(X)\n",
    "    loss = torch.mean((y_pred - y)**2)\n",
    "    if epoch % 10 == 0:\n",
    "        with torch.no_grad():\n",
    "            mae = torch.mean(torch.abs(y_pred - y))\n",
    "            print(f\"Epoch {epoch:3d} MSE loss {loss:12.3f} MAE {mae:8.2f}\")\n",
    "\n",
    "    # Backprop to compute gradients\n",
    "    optimizer.zero_grad()\n",
    "    loss.backward()\n",
    "    optimizer.step() # adjust weights\n",
    "    \n",
    "m = model.weight.detach().item()\n",
    "b = model.bias.detach().item()\n",
    "print(f\"LAST      MSE loss {loss:12.3f} MAE {mae:8.2f}\")\n",
    "\n",
    "carshow(m, b, X=X, y=df_cars.MPG)\n",
    "mshow(model, X=X, y=df_cars.MPG)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Factor out a training method\n",
    "\n",
    "It is good programming practice to factor out code into a function that we use a lot, which is the case here for our training loop:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def train(model, learning_rate = .5, nepochs=2000):\n",
    "    optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate)\n",
    "    for epoch in range(nepochs+1):\n",
    "        y_pred = model(X)\n",
    "        loss = torch.mean((y_pred - y)**2)\n",
    "        if epoch % (nepochs//10) == 0:\n",
    "            with torch.no_grad():\n",
    "                mae = torch.mean(torch.abs(y_pred - y))\n",
    "                print(f\"Epoch {epoch:4d} MSE loss {loss:12.3f} MAE {mae:8.2f}\")\n",
    "\n",
    "        optimizer.zero_grad()\n",
    "        loss.backward() # autograd computes w1.grad, b1.grad, ...\n",
    "        optimizer.step()\n",
    "    print(f\"LAST       MSE loss {loss:12.3f} MAE {mae:8.2f}\")\n",
    "    return loss"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With all of those details hidden in a `train()` function, we get a very clear picture of the architecture of the model and the training. It's a simple matter of creating the appropriate model, training it, and then displaying the predictions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch    0 MSE loss      637.107 MAE    23.72\n",
      "Epoch    7 MSE loss      301.261 MAE    16.79\n",
      "Epoch   14 MSE loss      130.148 MAE    10.31\n",
      "Epoch   21 MSE loss       42.360 MAE     5.25\n",
      "Epoch   28 MSE loss       19.620 MAE     3.26\n",
      "Epoch   35 MSE loss       22.228 MAE     3.82\n",
      "Epoch   42 MSE loss       24.115 MAE     4.01\n",
      "Epoch   49 MSE loss       22.348 MAE     3.80\n",
      "Epoch   56 MSE loss       19.580 MAE     3.45\n",
      "Epoch   63 MSE loss       18.742 MAE     3.28\n",
      "Epoch   70 MSE loss       18.797 MAE     3.27\n",
      "LAST       MSE loss       18.797 MAE     3.27\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 207,
       "width": 280
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = nn.Linear(1, 1)\n",
    "\n",
    "train(model, learning_rate=1, nepochs=70)\n",
    "\n",
    "mshow(model, X=X, y=df_cars.MPG)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sequence of 2 linear models with pytorch"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Without nonlinearity\n",
    "\n",
    "If we send the output of a linear model into another linear model, we get just another linear model. We have to add a nonlinearity such as a rectified linear unit (ReLU) or a sigmoid. To demonstrate that, let's build a two layer neural network where each layer has a single neuron. Graphically, that looks like:\n",
    " \n",
    "<img src=\"images/nn.2-layer-regr-no-nonlin.png\" width=\"300\">"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch    0 MSE loss      603.311 MAE    23.17\n",
      "Epoch   10 MSE loss       18.726 MAE     3.26\n",
      "Epoch   20 MSE loss       21.249 MAE     3.35\n",
      "Epoch   30 MSE loss       23.488 MAE     3.50\n",
      "Epoch   40 MSE loss       21.045 MAE     3.33\n",
      "Epoch   50 MSE loss       19.235 MAE     3.25\n",
      "Epoch   60 MSE loss       18.781 MAE     3.25\n",
      "Epoch   70 MSE loss       18.716 MAE     3.26\n",
      "Epoch   80 MSE loss       18.691 MAE     3.27\n",
      "Epoch   90 MSE loss       18.687 MAE     3.27\n",
      "Epoch  100 MSE loss       18.682 MAE     3.27\n",
      "LAST       MSE loss       18.682 MAE     3.27\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 207,
       "width": 280
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = nn.Sequential(\n",
    "    nn.Linear(1, 1), # each instance has 1 feature, spit out 1 values\n",
    "    nn.Linear(1, 1)\n",
    ")\n",
    "\n",
    "train(model, learning_rate=2.1, nepochs=100)\n",
    "\n",
    "mshow(model, X=X, y=df_cars.MPG, file=\"2linear\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see, the predictions of the model still look like a best fit line through the training data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### With ReLU nonlinearity\n",
    "\n",
    "If we stick a ReLU between the output of the first layer and the input of the second layer, all of a sudden we get a piecewise linear regression:\n",
    "\n",
    "<img src=\"images/nn.2-layer-regr-relu.png\" width=\"350\">"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch    0 MSE loss      647.280 MAE    24.19\n",
      "Epoch   10 MSE loss      262.386 MAE    13.75\n",
      "Epoch   20 MSE loss       96.103 MAE     7.46\n",
      "Epoch   30 MSE loss       39.276 MAE     4.38\n",
      "Epoch   40 MSE loss       26.217 MAE     3.94\n",
      "Epoch   50 MSE loss       20.001 MAE     3.31\n",
      "Epoch   60 MSE loss       19.560 MAE     3.26\n",
      "Epoch   70 MSE loss       18.884 MAE     3.28\n",
      "Epoch   80 MSE loss       18.849 MAE     3.31\n",
      "Epoch   90 MSE loss       18.784 MAE     3.27\n",
      "Epoch  100 MSE loss       18.753 MAE     3.27\n",
      "LAST       MSE loss       18.753 MAE     3.27\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 207,
       "width": 280
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = nn.Sequential(\n",
    "    nn.Linear(1, 1), # each instance has 1 feature, spit out 1 values\n",
    "    nn.ReLU(),       # add nonlinearity, gives two lines\n",
    "    nn.Linear(1, 1)\n",
    ")\n",
    "\n",
    "train(model, learning_rate=1, nepochs=100)\n",
    "\n",
    "mshow(model, X=X, y=df_cars.MPG, file=\"linRlin\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Exercise\n",
    "\n",
    "Run that cell many times and observe where the kink in the line is; it should bounce around the WGT=1 position. Why do we get slightly different models?\n",
    "\n",
    "<details>\n",
    "<summary>Solution</summary>\n",
    "    We are initializing the model parameters randomly and so training starts at different locations. Our final model position in parameter space depends on our starting location because we are running for a finite number of iterations. In principle, if we ran it for a very long time we would always end up in the same spot because our model is so simple.\n",
    "</details>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Layers with multiple neurons\n",
    "\n",
    "Each linear model is fairly weak because it can only draw a single line.  Adding  multiple layers allows us to draw piecewise linear curves as we just saw.  We can also stack multiple neurons at each layer. Because we are initializing the weights of every neuron (linear model) randomly, each neuron in the layer can converge on a different model during training. Graphically, it looks like this if we stack five neurons in the first layer but keep everything else the same:\n",
    "\n",
    "<img src=\"images/nn.2-layer-5-neuron-regr-relu.png\" width=\"350\">\n",
    "\n",
    "It's a good idea to visualize the dimensions of the matrix and vector operations. TensorSensor can help you out here:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
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   "source": [
    "# Draw matrix shapes\n",
    "import torch.nn.functional as F\n",
    "import tsensor # https://github.com/parrt/tensor-sensor\n",
    "\n",
    "W1 = torch.rand(5,1)\n",
    "W2 = torch.rand(1,5)\n",
    "x = torch.rand(1,1)\n",
    "with tsensor.explain():\n",
    "    a1 = F.relu(W1 @ x)\n",
    "    a2 = W2 @ a1"
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using the prebuilt linear layer, we increase the number of output features for the first layer to 5 and then the second layer has five input features."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch    0 MSE loss      621.131 MAE    23.58\n",
      "Epoch   10 MSE loss       62.402 MAE     6.79\n",
      "Epoch   20 MSE loss       41.867 MAE     5.65\n",
      "Epoch   30 MSE loss       20.719 MAE     3.55\n",
      "Epoch   40 MSE loss       21.154 MAE     3.31\n",
      "Epoch   50 MSE loss       18.618 MAE     3.33\n",
      "Epoch   60 MSE loss       18.734 MAE     3.33\n",
      "Epoch   70 MSE loss       18.379 MAE     3.26\n",
      "Epoch   80 MSE loss       18.367 MAE     3.23\n",
      "Epoch   90 MSE loss       18.342 MAE     3.23\n",
      "Epoch  100 MSE loss       18.310 MAE     3.23\n",
      "LAST       MSE loss       18.310 MAE     3.23\n"
     ]
    },
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      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 207,
       "width": 280
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = nn.Sequential(\n",
    "    nn.Linear(1, 5),\n",
    "    nn.ReLU(),\n",
    "    nn.Linear(5, 1)\n",
    ")\n",
    "\n",
    "train(model, learning_rate=1, nepochs=100)\n",
    "\n",
    "mshow(model, X=X, y=df_cars.MPG, file=\"lin5Rlin\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Exercise\n",
    "\n",
    "Run that cell many times and observe where the kinks are in the line and how many there are.  How would you compare the performance of this model, at its best, to the previous model?\n",
    "\n",
    "<details>\n",
    "<summary>Solution</summary>\n",
    "This model often gets a similar two-line solution just like the previous solution, but it often gets three or four line segments that seem to fit the data better.\n",
    "</details>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Exercise\n",
    "\n",
    "Create a three-layer regression network that looks like the following.\n",
    "\n",
    "<img src=\"images/nn.3-layer-regr-relu.png\" width=\"450\">\n",
    "\n",
    "Hint: just add another nonlinearity and a linear layer. The trick is to get the number of input and output features right. Does your solution get a smoother piecewise-linear solution? Is it worth the extra complexity and training time?\n",
    "\n",
    "<details>\n",
    "<summary>Solution</summary>\n",
    "\n",
    "<pre>\n",
    "model = nn.Sequential(\n",
    "    nn.Linear(1, 5),\n",
    "    nn.ReLU(),\n",
    "    nn.Linear(5, 5),\n",
    "    nn.ReLU(),\n",
    "    nn.Linear(5, 1)\n",
    ")\n",
    "\n",
    "train(model, learning_rate=.01, nepochs=500)\n",
    "\n",
    "mshow(model, X=X, y=df_cars.MPG, file=\"lin5Rlin2\")\n",
    "</pre>\n",
    "\n",
    "</details>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here is what the matrix algebra inside the model looks like:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "   <cc:Work>\n",
       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
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       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Draw matrix shapes\n",
    "import torch.nn.functional as F\n",
    "import tsensor # https://github.com/parrt/tensor-sensor\n",
    "\n",
    "W1 = torch.rand(5,1)\n",
    "W2 = torch.rand(5,5)\n",
    "W3 = torch.rand(1,5)\n",
    "x = torch.rand(1,1)\n",
    "with tsensor.explain() as e:\n",
    "    a1 = F.relu(W1 @ x)\n",
    "    a2 = F.relu(W2 @ a1)\n",
    "    a3 = W3 @ a2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Using the logistic function (sigmoid) nonlinearity instead of ReLU\n",
    "\n",
    "Another nonlinearity we can use to glue layers together is the logistic function. It's slower to train but gives us curved lines through the data. Let's replace the rectified linear unit and see what the model predictions look like."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch    0 MSE loss      632.174 MAE    23.88\n",
      "Epoch  100 MSE loss       98.076 MAE     7.64\n",
      "Epoch  200 MSE loss       35.348 MAE     4.49\n",
      "Epoch  300 MSE loss       23.216 MAE     3.52\n",
      "Epoch  400 MSE loss       19.851 MAE     3.26\n",
      "Epoch  500 MSE loss       18.816 MAE     3.18\n",
      "Epoch  600 MSE loss       18.421 MAE     3.16\n",
      "Epoch  700 MSE loss       18.242 MAE     3.15\n",
      "Epoch  800 MSE loss       18.143 MAE     3.15\n",
      "Epoch  900 MSE loss       18.074 MAE     3.14\n",
      "Epoch 1000 MSE loss       18.017 MAE     3.14\n",
      "LAST       MSE loss       18.017 MAE     3.14\n"
     ]
    },
    {
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oliQmm4HBs1b3Ekta3UuxYDd/8gBIECBi0Nv34u27HgoFVDiK2roLXd98XsAbr0EphUmPr4k41HmeVMeNg3A4HOsJF8A4FkXZE0T6utENbefbakeHMP1nbNYFqXi/SHrctlcXcoCgOy+rBABm8JzN1AxnK0FL5TxrJA51nidzsxSTRIfD4VgNLr5/gR3LYlZPkKBo26hLAk8VFFHRmA1AmrbYzEqiFn3ljZXsxXoUh87leaKa2iDwK2WtzYgYgxk8hzl7AjN4DjFmrZfkcDgcVXEZGMfimM0TJByx2peSFwyTNj4V+Eg4iool0fG684+vR3HoRex54nQ/DodjI+ECGMfimMUTRIXCkKiFtG2nltQYFPJIUAQUhCLotk5UPDHlcOtOHHqRep443Y/D4dhouADmIsH4Pubk45AaRxK1qMZmdNFftBCzXPYxA2dt2aexFZVLY4oFFCCRKESs4Z116U2gxKAiMbzO3VXLQWrLdrQXRg2cBhSqrRPV2A6j/ZizJyprBFZUQFq1TXra9TFNA7MZPU+c7sfhcGxEXABzEeA/+gD+97+BGRlAsmnwC6hwBNXSie7Ysahsx+SyT9B1zPrBGAE/b/UvkTiqtgEVjkAojPKLEEuiO6qXg6qVLXjmRyhlu5Yqj2lvxmPLydLMVS5Zd2WtVcbNOnI4HBsRF8BscvxHH6Dwza8gQz0QFCEw1lwOhaQnMKkRm3FYRJlAd+zE27UP030cE/h2uGM4ilIaonFULIlqbEFFohCePdCoVrYwPUPI+DCg0HWNqPrmqo8tp7yxkHLJuiprrTYXse7H4XBsXFwAs4kxvo///W/Y4CUaB4lCLmMFtyYAv4gq5JFYzaxlgmplFgAZ7IFIDO+SyyBZjwqHkVgSRgYw6TG8hla8a16GiieqlnqqlS0AOwOpWLSvCUdRbdtmPKa3bLflqiWUNxZaLgnd9FZCF4vnyUWq+3E4HBsbF8BsYszJxzEjA1aLkqiF8WFb5olGS665BSSbRiumtAeXywSzlVlU+w77mPFRHZedLzkA0tSGmhhGinlUPIGepeRQrWwhmQk70DEUBsT6x4z0z3wsm0IlapdU3lhMuUS3bL0oSiYXo+7H4XBsfFwAs5lJjVs33HAEhSBibJsz2CnS2gMToIoFmFYmmKvMos51QSG7vJJDtbKF79tzhSM2wAp8GzhNf8z3F3eu+c672LVvMtZlO7vD4XDMgwtgNjM1dbZclBpFUKD0eX8WEVtG0jGk9JpymWDeMstIL6qke1lyyaFa2SIUsqZ2mRQgqHjSCninPxYKLe5c8513sWvfhKy7dnaHw+GYBxfAbGL0rivRja0Eo4OQmQDPs5mXQt4GLyhUPIkIqEllgvnKLIwP2UDI+EsuOVQrWxCvsZmekQH7omgcGttQ48NTH4vXLLm84cols+NmHTkcjo2EC2DWGVW9SZawgYgxMNqP3nMNwVA/jA2CKXUM+SVzuWgMiUTRudSUMoHMU2bRsaQNhKJxJDW6pJLDrGWLQg7CYUChinnoOz3jMek9teTyxkqVS1bqc1pvuFlHDodjo+ACmHXESlm5Tz+ObmpDxLdBje/P7wOzgDKLbt+Bt/c6pPfUkksO1coWXmPrVM+XWR5bTnljueUSZ7nvcDgca48LYNYJK2XlXu04BEWbIYgl8LZfgercPacT70LLLN7e62Hv9cvKRMxWtoCZrrvVHltq1mOp5RJnue9wOBzrAxfArANWysp9vuNIZhwFhPY8d2nlnVnKLMstOcxWtqh63JJGh3zO/lxGELPYcomz3Hc4HI71gwtg1gErZeW+kpbwa9WVMpe2ZK1LN85y3+FwONYPLoBZD6yUN8kKe5ysRFfKYsSucwUowNqXbpyHjMPhcKwbXACzHlgpb5JV8DhZTlfKYjImc2lL/LFhVC6N9J9GJeugczda6wtfunEeMg6Hw7FucAHMOmClvEkutMdJObsiuQySTaFiNZXZR9J3asEZk7m0JebMCcyj37GZDRFI1qEnRjEdO9F1jRe0dOM8ZBwOh2P94AKYdcBKeZNcSEv4cnYlOPss0n8W8QsQiqDbOtFbL4XUCKb31ILErrNpS0iNIelRmBix3jXag3wOowdgdAB27kO1XQIoZHQA03d6Wb4585W6nOW+w+FwrB9cALNOWCnR7IUQ35bLPUHXMZt58At2RpEXIhgfxvSdAiOocBh1yWXzi12raEtEBDN4DhkdtMMoRaz7bzgCQREmRgl+/BhquA8ZG0LFk/iP3If0nV62b85cpS5nue9wOBzrAxfArCNWysp9NS3hy+WeoOek3ew9DxVvQKIJVC6DFHLWyTefhXjNjPdXFbtO0pYYY6zeJTWGGR+BXAYCY+cf6ZDNwoSjkJ6A9JjNfoQidrzA6BB+amzZvjnziYOd5b7D4XCsPS6AWWeslJX7alnCV8o9uQwohRKBWBKtFBJPQiFbmXItuTSSmbDC2/L7q4hdy9qS4PQzyJMP2zEFuYwtHRXyoIB4rf1ZytZgfDvPSWlobcXbuQ9q6lfUN2eu4zjLfYfD4Vhb3FdGx6KQbAYZH7YjCQo5xAtNKREpLwxaoyIxW/YZ7kdEADDGID1dUCygwlFoaLPv0xrV0gHFIjLchwyeQzITNosT+CBAPAmxJGgFEpSGUQJao2saULUN9vxNbRD4lRLVnNcyh6/LYo4z47jGYAbPYc6esGWw8gRwh8PhcKwYLgPjWDCmp4vgkfswfaeRsWFAIAgw4Sg6FreZi6AIsQSU9CxSyCLdx6HsBhwUUbEkZnSA4L5/hH3X23LMYA8qHLYaGaVRJkCUgvS4PU8mZYMXIzYwKgt9tYekx5CJ0fNBzBr55lTukZuT5HA4HKuOC2AcC6Ii3O05CYUcIHZzDwIY7cc0tKKMARRKDKquGd2+HVXbiDl3AnP2hA1evBCqtgGZGMF/5hHMxCjenufaDT8cQe++CpVLg+9jchnMicdhdBBSo+CFbMnIs5OpEYFwBMllMIPn0DX1AGvmm+PmJDkcDseFwwUwjnmZrBXRyXpoaMWcO4mMDtgMSTZtZxPFkxCKoCKxSrcOrZfgf/1LmOFedHMHqmPHDBM6TIDkc6hYAq01JGoB8OoaUWIIjh+xmhjjQzhutTA6YhcXS5T0Nhlbdspl18Q3x81JcjgcjguLC2AuEozvY04+DqlxqKlD77oSHVrYx19NK6KUwkRjmLFhGOmHUAhV14Teuguvc3elZGIGzyHFPCocRW/dWbWlWjLj9jy5mZkQ1XYJ9J2CkQGbfUnWQLzWBgGFvNXhFPLIxAhy+seQrF0T3xw3J8nhcDguLC6AuQjwH30A//vfwIwMQLFgSzWNrYRe8DpCV794/gNU0Yqo2gZ0TT06myLo6UZFo4SufxXe9sunthQvRGfihdDRBEFqbEYmxJw5YY8RjtiSkRdGeyFUhw2GzOA5pO80KhpHbbkEr2PX2vjmLFBPUy53ufZrh8PhWB4ugNnk+I8+QOGbX0GGeqwhXDgCqVGC0UHM+CjA/EHMLFoRpRQSr7FdR8l6VDWtyAJ0JrqxFX3F8xDtTcmEmPEh2/EkoLwQ4hchM44pFlAi6K27oLYJZQK8S/YQevEb0S0da+Obs4DrJBIl+OF9SDG/bgS+ixm26XA4HOsJF8BsYozv43//GzZ4icahvhmtNcYYGBtChnrwv/8N9P7nz1lOmksrYs6cgNFBpFjAf/R7qOgPp2zKC9WZeHuvRze2VTIhUsihUqN2PEHrVqhrtrqb1KjV2wz1YNLjqNZOvO17rUC2rXPJ92q5vi7zXacUCzAyQJCeALM+BL6uY8rhcGxkXACziTEnH7dlIzGV4AWwQUx9M/SdwowMYE4+jt5zzazHmU0rUsmQlDqPyE5gRvpmbMoL1ZmoSZkQ03caP7jPioI7d5/X3QyeQ7JpZGwQIlG8zksJXX/zmm+4c+lpRHso5YEEqOT6EPi6jimHw7HRcbnidchtt91GKBTitttuW96BUuPnNS/TNkattbXg9wv2dfNQ1oqE9lyDbt8ByVqU9lChCF7HDvTlz0O370Dv2ItK1FU2ZTFmxntVTR26fQehPdfM2CiV1uiWrbb7xwvb6daTdTc79+Ht3Ivesh3dvg3veS+bsdHOZSS3miZzs15n525UYwuEIytqmLdUpndM6R17Z/3sHA6HY73iMjDrkMOHDxMEAYcPH+bgwYPcdtttHD58mFtuuYWDBw8u/EA1dRXNizFmShBjjLHBS6jBvm4B6HkyJDB7143ash3thVEDpwGFautEN2+dPeOwEN1NbRMqlgDOaznMmROY009jCjlUsTClLAKsesmkmp5GshnkgX+pmPtNZqmGecvBdUw5HI7NgAtg1iG33HJLJWCBmQHNQtG7rkQ3thKMDsLYEGaaBgalrYB215ULPmZFK5LP2bEB8fk35apai77TqH3Xozp2VheSLsKjpXz84Oyz1jAvl7bZm6Y2UAozcJagp9t6302MrHrJZLqexgyeW1HDvGWzCg7EDofDcaFxAcw65ODBg1MClekBzULRoRChF7wOMz5qhbx9pzDlspHSqOZ29P4b7eOL7ECRSAQJipjRQaTGWvjj++AXkFDYDmJsaMGMDRI88+isWgtv1z5ksKdqVmQh2hnpO3XeIXjgLJLL2EAFhaTG0S0dSBBgTj6BUgq9/XJU05YLqkFZSDCm6lsQI5izJ1a/G2iFHYgdDodjLXABzAZgekCzEG677TYOHTpU+fMtL7+OT77++krZSMWTqKZ2pP8MxTPPzllOmZ4hkXyO4PgRZOAcMtSLDJyzJnNS0kyIQCiMjicJnv4hpu90dXfarmOY7qeQSARlgqpZkbk8WtSW7fj3ftVqObwwEq9BGYPEEjA+DOlxzMQIJOtgfBgJR6eUcS5UyWQ+wzxV0wipEfzv/PMF6QZaSQdih8PhWCtcALNJOXz48JQ/3/2dR/jCdx+lUCwSCYcY/ZuDSP8pZHxoznLK9PKPFPNIqbNJ8lnwiyWbf2Mt/lF20GIojOk5hRnqQ8UT6Esum6pjaWxFup5EgiK68zL0tj1VsyKhm95KaBaPFjN47ryWo74ZGemzk69TY3ZdQRGK2s5R8gs2wJoYtQFNiQtVMpnNMA/tIZkJgt5TF6wbaCUdiB0Oh2OtcAHMJuWWW26ZmoGZ9OdC0ef6//p7HDs3gFYKI2Jf88oXcOAdr6yUU8rlmXL5h2gcOXcSyaSgpgFicesvUyodARAKn58UnRmHiQCJxZGOXai6xsp6VC6NiLGbdm39nFkR3bK1emZkspYjFEa0B7m0zQBpD8JRu554rX3c9zFjQ6gt2yrnu5Alk+kCXxMOEXz/35GBs6hkHXTunjEnarVKWyvmQOxwOBxrhAtgNinVyk6f+9znyOfzREIhjp0bAKgELwB33vN97j/2Y471DPKcvZfzw4OfmDKckGyKYGTADkzMZ+x/IjaQyRr7/8bYqdHGt4FMUIS0T/DMj2D7HtuRpBRSLJZavKOoUHjKOhecFZmk5aBtm3XrDYKS43DUBl1K2T+Holafkx5HMhOoZN2alEzKAl/T04X5wX8QPPkQkhqDYgGdzyItW1G1DRektLUiDsQOh8OxRrgA5iIil8thzp6geP8/c+2v/XeOne2fkoERgWM9gwA8cfzpGa224vtgAognoVw+UgoKORskmMAeBAWhkM2CaA1BAMN9BIUcemIM1dIB6THwPHvcWJLJvTALzYpM1nIwMoCqa0IGztq1ZdOA2BJSxKAa25BsCgo5zOlnoL5lzUomZRO5oOsJ6ywMkB7DZCaQfA6v81JUbcMFKW0t14HY4XA41goXwFxslLIWD//OL1vjMqX44KEvcffX7+W9r7+J+48+ajMwl11aKc986I4vc+e/3oMIvP9FV3LgNc9DvJANXPwCBLYUZBEbyBQDG7wYAyj7WGoU4xdg4CyqqQ3d1G7LSCMDyBKEpDO0HNk0eGGQDHgawjFUbSOqrhHV3IH0nLTdV61bUaHwipdMFjJXaKqJXD3UFyE9jtQ1oXIZJDWKGTxnM0SuG8jhcDhmxQUwFxnVOlA+feu7+NQH3mln9vzkC62T7JUvxP/OPyPDGe7++r2UK013fvdx7vzu45Xjve/q7Rx4xf7zXUjas2LeILDBSzgK8YT9M1hjPQU6nsS78bWY7uPLEpJO1nIEI/2ICTBal6ZTb0PXNyGxJIwMQKIW77Ln4l39QlShsKIlk4XOFZpiIte5GwpZW9LKZ2z3VCGLyabxertdN5DD4XDMgQtg1jnLmRY823sX1IHS0lEJdN77ihu5857vM0kuU+GuR09x16OnAHjflZdw4KYrsBFM6cXRGNQ2QTYFsQR6yzZkbAiaO/AuuRRvyyXLFpKWtRxeyYnXP/4wMjoI+QwyBtJ/pnJtof03oFsvWdBxF8psc4WC/jMEfWcI7b8O3bnbBiKThMdaa6RlK0E+B6lRVD5ntUFjQ0g4gt65v+IgbAbPOZ2Kw+FwTMIFMOuY5UwLnu+9C+lAKQc6B97xSg689eUgQuev385ItlD1nHc9foa7Hj8DlIKZV14JiVqUBCXr/wZ02yWIMSi/APkcuvPSJQlJqwVnumWr/W8FgqKFMn2uUFkvZMZHkNPPEPR2Y86dQO/ci9fYhmrfPtVErrYBr/PSypBKxgZRNfV4l15J6PqbAazXjZsY7XA4HFNwAcw6ZTnTghf63vkChynlmZJN/+nfeIcV6vo+2/7XVxnJ+1XXUA5mGmNhzvz2z0JNA7okFp2u7ViskHS+4OxCdtdUmyskE6OYcyetaDhnp1HL6WfwB8+hJ0Zsmc0LnTeRq22wbdQ93RAOE7r0KkKvfxcMnNm0E6OXk1l0OBwOcAHMumS2b/UL8QdZ7HvnCxx0x05ovQT5+pcww722DFLIIsN9nP7YW+wkazHUfObfq75/JFck+d++BMD+HZ0c+eMPLkvbseDg7EJ110ybKyQittyTGkVFoojSqGgMtWU7+EVMbzde+3bUlh1IX/eMEp638zmErr8ZpTX+En8H1jvLySw6HA5HGRfArEOWMy14VSYNj/YjxTwqHEU1tmBOPY0SQRK11oW3kCf1odeWvFeK4IXZ9tmvM5IrTjnMse6zxN/1mwB84BffyaGb376w+1H6ti65DMEP78P0dKGS62RTnzZXiGzKzmMSQaIJyA/ZcQHhMNQ1IhPDSBAQ2ns9Utc4a5lrisvwJpoYvZzMosPhcEzGBTDrkeVMC16NScOTjxkEtmU6FEaFI0g4YjuMtAav5PsSjnLu4O8jmRQf/qt/4c7vH5txyDu++GXu/Mv/wy233DLnnKfJ39ZlfBjTd9qupaFlXWzqM7q6wmEIfMQL2bZopVGxBMRrptx/Xd+M2nvd7GWUTTgxejmZRYfD4ZiO+1diPVL+Vp8rfaufRNnkjXC0uj/Ict67kPV4Vr+BX0RKM49Qyo4UqG2EaBzV0AK1DUgxxyff8nLe/6KrUFUOGwQBhw4dshuyUlx11VVTni9/W/efeQTT242kx5DUKJJLW43JxGjltWu1qZe7unT7TiQzjuk9hWQzkBpFCjlUSftT2agn3X+ltRUdd15qXzN5016Nz3GNmSs7qJraIPArAajD4XDMx4YLYJRSf66U+k+l1GmlVFYpNayU+qFS6r8ppZpnec+LlFL/WnptRin1qFLqw0op70KvfyGUv9WXhZ5Sccqd3+RtOe9d0HqyGZtRUMo68Rqx/6+U7TQKhVHxJCaThkwKVczzqV/5ebL/8gXyX/sL9u/oBKAxMXPjffzxx1FKcdttt834tq537EVv2Y6qbwEUMjFiO3cmX98abeplsXNozzXobXvQtfV26nWiBr11F6q2YdH3fzU+xzVnE2aVHA7H2rERS0gfAY4C/w70A0ngBcDHgfcrpV4gIqfLL1ZKvRn4eyAH/A0wDPwkcAB4MfCOC7n4hbCcacGrMWl4xjELOZt9GRu2DruhsN14RgaQeA2Sz6JMYOcchcOopi0AmPQERz7+AURAxgb46DeOcvjf7p9xvkOHDnHo0CH2d7Tw0Ed+GrZeilYKideg4kkkM1ExfNPZlD3nMjb1leiImc2LRoZ7MenxRd//TTkxeppeaHIQM9v4CNet5HA4ZkNNT0+vd5RSMRGZ8RVNKfUJ4HeAO0Tk1tJjdcCPgXrgxSLycPkYwD3AC4GfFZGvLGM9R6699tprjxw5stRDzMqUbo1iHsJL9IGZ472L2SCm6FFGB5GJESSfRfJZO39IBKJxq+9oarfnRVDJeszZZzGjg3aAoz0xqqGFyOvfSei5L53xjXwyjfEI5z77++j2bcjEKMHZE8hQD2gPvWVbSX9jN/XFikCDcycIjtyLGem3wVhtI15j27I7Ypbz2U1Z39kTBEfL6zNQ27Ai61sLxBj8e7+K/8wjVTUwkhkntOcaQje9FaW161ZyOC4CrrvuOo4ePXpURK5b7Hs3XAamWvBS4m+xAcyeSY+9HWgFvlQOXsrHUEr9HvCfwAeAJQcwq8ly/EwW8t7FbhDTjxmM9hM8+j1M/ykwjRCNonJZG1CEwoAgg+cI+s/CcF9p+CPWpDfwkcCn+PC96LZtiAjRSIRCsTjjvCPZAh889Bd8+tZfQrdvQ2/dhUmPQSSGqmlA1TUuaWPzH32A4r3/iBnuscLkcNSa0NU1LbsjZiW8aExPF+apo5hCzgZX2kNHYui9127IDXwxWSXXreRwOOZjwwUwc/CTpZ+PTnrs5tLPb1R5/X1ABniRUioqIvnVXNxSWY6fyVzvXeoGUT6mGANPHUXGh9BNHTO/TY8NgVKY1DiMl0pN0bgNbPxiKTujMD0n8Y89hNe8lbHP/ibBySf5yH88xl0PPz3lvHcdeZa73vP7ANzyyhfwybffTKhzN941L0PFE4sODoKzJyje+w+Yni5rLBdPogLfDkBIjxN0HUPXNiyrI2Y5n13VzyczQZBNWSfjG/WG3MAX4gLtupUcDsdCWLUARim1HdhZ5anTInJyBY7/a0ANtjx0PfASbPDyZ5NedkXp59TdEBARXyl1EngOcCnw5Dznm61GtHdxK197jO/jP3wPpuuYdYDt3G3n8ixig1iI3wzhaMm1t5x5MbbUpBTEkzYTU8jZjerR+wmG+yHwOfC2V3D7f3kVEhg+8n//g88ffZZgUqnz8H9+n8P/+X2ec8XlPH783Yu+fjHGlmWGe+3U6uaOyvWrXBop5GF8mGCkH28NfFY2+wY+X3ZqVbyMHA7HpmPZAYxSKgQ8AKSAV4uIKT31y8AfVHnLCaXUPhGp7kG/cH4N2DLpz98AfklEBiY9Vl/6OTbLMcqPNyxzLRsG09OF//A9+MceRFJjUCyg81mkZSuqtmHhG8RCOkoAlahF0mOA2PbrkLambvFaKJaGF+azmNM/hrEhW8qZGLb+KeEwB97yMg688QU0/fFfUTBT9VpPPPV05dy33nrrnH4yk5HhXqspCQKIJdGljVMphcSSdqiiAKmRNemIuRg28DmzU65byeFwLICVyMC8HbgBePuk4KWMAv5q0p/rgTcAbwH+73JOKiLtAEqpLcCLsJmXHyql3igiRxd4mPK/jvMqmWcTGJUyM9cu8HxrSrksEXQ9gaRG7YPpMUxmAsnn8DovtXN5FrJBLKSjpL4Z1diCjA/Z7EtNA8rzIBSxr8tMgAmQIED6T4NfsNka3wcxSDEPkRjU1DP8sTdBXSPP/8K9PHGia8ZyDh06xH333cdjjz02/43IlzQl4YjV4kxav1IK44UgnwHlrY3PysW+gS+hW8nhcFx8rET++U1AL/APVZ4TEXln+T/gzcA54K0rcN7yCfpE5B+A1wDNwJcmPV3OsNTPeKOlbtrrNi1TyxL1qPoWVCgCdc2ocBRJjVr7emMW5KeyIJ+S9p3oHftQ0XhJuBucD16yKRusRGJgjNXUxJJWjyLGPq49W3Ia7gPt4bVdwqNPPWMFv9HojDWVfWRisXk2tmgMahtRSgMKsunK+o0xkE3b9Te2rY3PyiY0sVsMm9IDx+FwrDgrkYG5Dvi2LKAfW0REKfUtrG/LiiIi3UqpY8A1SqkWERkEnsLqYy4HpmhYSqWvXYAPnFjp9aw3ppQlOnfbgYyZCVQ+g8QS1lclk0J3Hwe/iApHoaFtyjGCQgHz6P3I2DCqvgkuey56ro6SvdchY0OYtkuQ08/A2BCSGgGUbQmOJ9Adu1CRCEyMoHbtx5x4AjITNhujdOmnBy0deDe+Fh0KIcaQOXOiop947k2v4fEnnqisM5/Po5TiyiuvrJqRUU3teI1tSF0jkhpHCjl7P3QI8mkwBt20He+6mxakMVlpr5IZ4wmmaWA2+wa+KT1wHA7HirMSAcxW4B+rPD4GnKryeC/QsQLnnW0tAEHp5z3AzwOvA/562mtfBiSA+9ZrB9KKMqksobVGWrYS5HN2anI+h+SykBrHROOomnrM6ADBff8Ipc6Qwr3/gP/df7H2/b4PoRCqtgHvyhcS2nPNjI4S1dJhW4BHB1BeCFVTD9pDtEaFI6hELXrHXrxd+wiePAKxBLp9uy3hnPkxkh63rd3KzlhStQ0w3Iv/6APIYM+U1u+jn/44z7v1d3niqala7XJGZro+ZvIGSdcxZHwEEQOFHIQi6LZ2wjf9FN7WS+e9rQttRV9MkOM28IV1KzkcjoubZRvZKaVywAER+e0Fvv6/Ax8RkUXnv5VSe4FREemd9rgG/hjrA/NdEXlx6fE64FlsqWjDGdmtJGbwHMX7/gnT243esdd+o58olY3GhmGo13YH1dSjW7fa/y9tlijwf/BNSI/briLtWQ2JUpCsI/SqnyF81Qsqm7MUcvgP3TO1BTibQQIflazFu/x5eHuvRTdvRYZ7Z6zLjA8TPPsEpEehUIDaBqunUcqKfsN2kKSKJezk52kmdldddRWPP/74lOv3PG/G4Mhy8BGM9MPEKGiNbmzDu/YmvM6FBS8zWp2rrGephmwrZYa3kXFOvA7H5matjeyGgW2LeP320nuWwuuA/6GUug8bmAxhO5Fejm2F7gXeV36xiIwrpd4H/B1wr1LqK6VzvwnbYv132PECm56qZYnaBkjUwuPftR1CjS3oK1+I53mVcoV/9lk482Nb1vHCtv1Za1sCyqatZ8r3vkboxW/Ei0Ss1uber87aAiyZcVSxgG4uDS+cti5pbEWGem3pKBK3XULN7bD9CuT4w8hwP6ppC2r3VbO2fj/22GMzgpggCDh8+PCUAGay/f9iN8iFtjqLmJnB3AIN2VbCDG+jsxwvHYfDsblZiX8JfwTcXNKUzEnpNa9gqtncYvgP4E6sWPetwK8Db8MGJX8IPEdEjk1+g4j8IzbAua/02l8FisBHgZ9ZiHZnMzBjanL3cUxPNzz7mN0c40m8Xc/B8+x8y8qE4LFBG6iIOR+8gP0ZT4KIzeQ8amcaLXbi8PR1yY8fxQz1QjZlh0OWpjnrfAZR2q5DKVQuPedxH3vsMZqamgCIRqN4nse+fftQSqG15rbbbqucf9aJ0HOwkOsMRvrtmILJAynbd9hMU6LufJBjbPOeGGMzYmdP2EGVxix5fQ6Hw7HZWYkMzNeA1wIfA/58ntd+FJsx+X9LOZGIPA7ctoT3PQD8xFLOuZmopisgHEEHAcTi6LrGKa9XStmSkRirRZm+eWpty0mBj4yVkmpLaAGevK7gzI9RqTEkUYtubrebdm0DMj6CMgESjtjyle/Pe9yhoaEp5w+F7K+7iHDo0CGABXvHzGAh1zkxitF6QX4uUiy4uT8Oh8OxCFbi69zngbPAnyil/kgpVTv9BUqpGqXUHwKfwLZRf34FzutYArpjJ6Gb3kr4ZW8m/JI3EXrh61A790Kp/DEZEbE6l3Lmw0yz+THGBhNeyHYlwZJbgMvrCr3wdejtl6PqmlA79toyF0AohGjPDoPUHoRCCzruZG655ZYpfz58+PAC7tgsLOQ6tQYTzBvMmbPPUnzwP/CfeQTT220zZL3d+M88YjU2PV1LX6fD4XBsUpYdwIhIBvgv2LlCvwv0KKW+rZT6P0qpv1JK3YvVpvwekAXeISLZ5Z7XsXQmlyW83VfjNbbN7rlR32JLRUrbUlI5iClrYJRC1Tagr36pPfYyPDyU1nY9l1yGiidhZOD8+2NJVDkTJILEkgs+bpmDBw8iItx6660VUW9zsxUHK6W46qqrFn4PF3KdjW1Q2zhnkCOhCObUMwsuM10sVCunORwOx2SW3YVUOZBSzwE+i9WbVONe4FdF5IlZnt+QbJQupLmY0U0zrWV3vi6k8Kt/lshNb1nw8aYLV43vY04+DqlxqKlDogmCB76GOftjCAzU1qME8AtTu5CmHHcH3p7noutbkEgERKGK+flblqdlRoCq/jHVumGk79Sc1xm6/mbMU0fxn3kElaiDxlZULo0pFpChfsTPE+rYhfE86D+N3lEaq5VNge8jnofpP4PXsZPwy96MnkPMupm6dZbateVwODYea92FBEApMHmFUupS4MVAO9aqvwd4QEQ2vVncRmUhnhuqrvm8D0zggxdH1TYQetEbpwQvCz1eGf/RB/C//w3MyAAUCwiCCgIEsZuX78P4ENQ3E7rieehdzznvA1M6rip1TQXHj+CPDiITIyBiy1ANLXNufk1NTQwPT22Ke/zxx4nFYuRyVk8z14Y6733TGjMxStB1zHrOFAqQS9tAMBonUArl+xCLQ2rMZhtymdI9DkEhj8Rr5hwbsJk2/KVOSXc4HBcfKz6NuhSouGBlgzFfy27kprfgvegNU5x49dUvxYtElnQ8sMFL4ZtfQYZ6rMZGa8ikEBMAyupMvJANbFJjBBPjhFo7UVe+sHJcMzaE//QjSF83kpmwAyrTE/YEE6PoscE5N7+y0Hd623U+nycUCvH+X/g5DrzlZXNuqKGb3jrrdeqOnXi79tmur3wWcpnzZbigiAz2lMpLgpkYQRXyNrgJhZFMCnIZTCiEGRtEV/Gm2Uwb/mafwu1wOFaWFQlglFIN2PbkG7FTb74PHBSRTT9jaDMxn+eGF4ngXf/KFTme8X3873/DBi/RONQ1wfgwZDNAcL5UtWW7zVikJ5DuJ/GPPUR4y3Z0y1ZbNnnqKNLXDfFalF8EGUXqm+xvoV9AwlF0onbeza9cMorFYuTz1pg5CALu+OKX+d9f/DLvf+UL+NRHbqm6oYZK66mGGGODlHAUlayzQuRIFJL1qFzGjjEoFm3ZKJ9DGltRiZIOPlOaF1XIY3q6kb1T3Xc324Z/MUzhdjgcK8ey/1UrBS8PAh/HTpp+I9YV98HScw7HDMzJx23ZSAzUN6OMD4WsDVyUB1rZmUy5DCpeYzMS+ay11i95vUzZ8OIlF1wRVLwGlaixx85nIZaY4RMzG7lcriL0LSPA3d96cF5Pm8mURajBkw8R9Jy0mZdwtDRWoQFd9tFBbEADNlhJjSOjA8hwnzXza2xDJWqQscEZ51ms586652Kfwu1wOBbFSnwt+03gMuDJ0v//FnaI4mWlPzscM0mN25bocMRu5qbUpq0Azzvfuh34dvMKh89Ppy5vYJM3vCCwupFQuNJVpLywfX8QLHrzO3jwIB/4xV8A7JKu2NZB4iffzQcP2WHnc22opqcL/96vUrzvn/C//2+YU08jE8N27aX1VY7hhW12JBS2JwqKNtjxiyil8JraUHXN1de+2Tb8i3wKt8PhWBwrEcC8EesDc6OI/A8R+f+wpaQe4CdX4PiOzUhNHYQjUCxgTEn/orVNdwTBefM8L2Q3r2LRdj5F4+c3sMkbnudZvYxfREQwxiCFLBL4mEIOk0svevP77P/8c3J/f4j0wd/kqdM9BMZw+Gv3EH3DL/HBT30OMzaI+EXb9VSirEmpeLoUskg2bTMr6Ykpm7OIIEHRtgj7RXvtXthmjEJhK0we7kfGh6qvfZNs+OVsleQydgq6XnwLvsPhuPhYiQBmF/D/Sn4wAIhICvhnYOcKHN+xCdG7rkQ3ttogZWwI0SE7+0gpkABMScgaSyBZqwVR0Ti6fWdlA5vixZLNoGIJa8g3PgwD56yeJj2OOfU0jA6C9ha1+U0+/ntfceOU5+7+9+8go4PIwDmCR7+H6emaoUnRO/ait1+B3rKtFKzloZhHsikbtGXTgLKdQ2CzMDV1qIZWVNMWCEVgpB/JpFD1LTPWvhzPnfXClGzVd/6l1EmVs+Wx0rgL030cyYxfFFO4HQ7HwlkJEW8Ca1Q3nT4gvgLHd6wSa+kdorRG738+wWCvbZPOpiolIwQbyBgDA2ftz3gCtWMfumMn0tOFlNbr7bseMzFqtTGFHBL4MD5i3+N5ViDrjyHxpO1S6juFWmBXTnlOk5kY5cA7Xonk0tz1wGMIUBcNUfPHf83+9iYe/ngSSY3h7bm6qiZFt2xF8lmk95S9vvFhG7R5pb9+xtgsSW2T9a4ZG7JOw8WizcxEouiOHfalg+emfF7evusJxkcwp5+CgTOoWBIRgwqFl7ThX8jfidmmeYsYlPJQtY2oSHTWFnyHw3Fxs+Jt1I6NwVp6h5TPLaMD6PpmTGrUdtxQGl2gbemIeBIVT6IStajmDnRtHcHxhwlm8WIJRvox+ZwV82oPknXW0TcaR0eiyMTIortyyp42/rGHuP0dGT5585UQjVHze18A4FjvMIlf+QTvf/l1fOZD70PyuRmaFFXbgNe5myCfQ4p5VDhqA61iDtBQyEEogo7GkGjMCpkD32p4tLazoPI5/Hu/OuPzUi0daCVIENggKZ9FJWrRnbsX3UJ9IX8n5u2gSo/hNbTiXfMyVDyxoY35HA7H6rBSAcw1Sql3TX8MQCn1Tqw8cQoi8qUVOrdjkayld8j0c1dEuWVn30gcG8hoCEXwrnoRetc+zI8fI+jtntOLRT37KH56HBOLo7buRpvAZjLiNQBI9/ElteHqjp14XhjT24UOAtS2y9i/45sc6z5bec2d3z7Cd549w5E/+1hFkzJFWFtTD3WNeA0tqG17MCeeQEYHrcdNRkM2hUmNoWrqUclaq5cJ8racMthD8Z6/Q4VCEI5Urj84/QwUi1bgHI6iojFbNtPa3stlfC6r/TsxX8u0mhi2wV48MacDscPhuHhZqQDmzaX/pqOAv5jlPS6AWQPW0jtk+rlpaME8cp8NXsJR8Dy7edeWPWFSmLPPomJJTG/3nOsNbdmOTtShIjF0XRO6pm7G+ZfTlaOKeZsRaWhGJ+v44aFP8MFDX+LOf72Hsn722Jk+PvyXX+PAT70EGe5DSt1R4nmQy1TKOhSLkM+im9uRaAJOP2MzMsZYXc3YkM0gFfK2rJaesAFNTQPe7ivRdY1WpPzkw7bduqkNvfsqtNaT7kv3gj/HNfmd2GwdVMtgM42BcDguJCsRwHxxBY7huECspVnY9HPLcJ/t0FFYT5RCDikWUcZH6puh7xRmsMeKWRew3kpXzvDMDEi5K0c1ti6tK6fKsT9967v49K3v4nm3/m4lG3P4G9/m8De+DcD7rt/DgTfcaL1pIjH0rv3ojp0Exx+GzASmWID8Gds2Xc5GFfI2exKLQTQJsaR9Lj1ujfmGepDaBlQuXRI8G0Rp++dE7Zyf42wb5Zr8TqzmZ7WB2ExjIByOC82yAxgR+eWVWIjjArGW33ynnVsKeZt90d6kNmrrB6PDGhMqde5k06hEct71qo6d6IZWzMBZ24UzLZOwnK6ccsdPtWMf+eMP8qHP/S2fu/+HBJOmJt/18DOA4sDrSzPKBCjmkNFBTGrcXmtJcIv2QAr2MTTUNKLrm1HxGttiHE/a0QO5TGXYIyaAUARlAvvnWe4LzL1RYswF/52Y635ulA6q5bKZxkA4HGuBE/FebKzlN99p5yYSLU22zp03sgvZQMYYY51o40mIJ6vqSqavd3LXkOntQiaGZ0yIXmob7nzH/vRHfoVDf3Uzz33JTTzRdbryvrsefpoHeid4+BMfQlIjBN1PY8aHbUalrgmVqLHXlKy3paNC3gp6L7kM3dxug5WRflSQtq3mgW+DlVDI3ju/YMcThM7/VZ5+X+bbKL09z73gvxOr+VltBDbbGAiHYy1wAcxFxtRvvjN1GvN987WmYz2Y/m6YGIPaBnTbdnRLx7z/0M741t3QioonbRkpm7YamHDYbtRjQ6A0uqUDvf0KzPGHkDPPIk1tlVlBMtyH+D6Sy1A4fgTS37JeMG1b0YlapP8U5LKo+mZ0+05C+2+o+o12Pg1C5Xlj8PZcjaqpR8YGZ0yfJhzhyP/6bUxvNx/514c4/LV7ADh2pofrf/dTPPSRtxP0n0aKJd+X6Tpb7dmykALKWap4DSqWwKTHIZ+2mZhQCIklS2MXNEoMEkuimOkBQ0MbwX3/OOdGqWrqUfUtcIGzIYuZWr7ZcHOfHI7ls+wApkr30YJwXUhrQ/mbb9DbjTl5zA4TVGqKTmO2b76mpwv/wW/iP/VDmy0oZQJUfTOhK55H6MbXzLnpTP/WzcSwHXA4PmJLFCZAclnInrYbc3MH3hXX2dlAuQxm4BycO4GKJUFrG/gUcgSnnoIffNNu6J4HkRjEa1DN7ejyYMRZmE+DUO15Vd+Ct/d6dH3zlIDHnD1RKcV8+tZ3cf/jT1W0McfO9JD82GdojIc581s/Z31sigUoDCGhkL2XSlmnYc+DkQEkWWdLOM0dNqDLplHZNGZsCPrP2LU0d9ig79RTmCoZDEb7590oZWwQb+91SGrsgmdDFjK1fFPiRMwOx7JZiQzMX2Cr+wtFlV7vApi1pPyJlb7FW+0Fs36SpqeLwrf+nuDJhyE1dv71eZBsiuLEKCY9QeQVb5sziKn2rZtkPTJ0DjHG/mMeiqAbW9GXX4uMDWH6TtkZQokaJJNCUqN2ww+KUChY594yfsmWP5NCJkYwnZei8gmC1BiSGpuiK5i3tLJrH8HJJ2c8z8BZJDWGvvFVU1t8p5XIjv75r3Pth/6IY33DlZeMZIvc8Nl/4MH3vtpmTcq+N7EkOpZAoqOgPKSQxXQfrwQSKlmHqmlENbagIlFobKv4wMhgz6wZjMlB1Vwbpa5vQa9RNmS+KeibEididjiWzUqVkHzgX4BjK3Q8xypRrr1LagS17XJ0/HwJSbIZq9OYVnsXY/CPPURw4olSmcmDsJ3Xg1+0Rmy5DObEE/hbthOep25f7Vu31LUg3cfskMeaOtSO/Zjv/DNB2Zb/kssAMOlxzNOPwJAt6ZyPuMobgJz/6ReR1BhqzzWo0cEpugJgbg1CTxfS140xBp2sX5BGYXKJzAz1wcQwD936Rj789Ye46/tPVq7/2MA4Nf/973nf83Zx4O2vRIUjqOZ20CFUKIzXvh1qGmeUqfTea1GR2MwuorlKYIvYKHXL1oszG7IGOBGzw7F8ViKA+TbwMuCngDbgLuBvRcTlPtchk2vvunnL+ZICIIlaTPfIzPbb4V6bhcilbcZGe6XpycrO+An8UvknbUsQC6jbV/3Wveeayv+awXPVbfm1xnihSgdPJROktb0Kc74bBzE2W9TbDR07YXLLNcxdWhnqweSzEI2jtu1ZkEZhcoksOHUcGTgHfpEDr72WA6+/gRsP/T+O9Y1UlnfXD0/ywKm/4cFbXoeMj6Ca2vB27id046vmDCTKAcvkkQqzmb0tdqO8KLMha8DFLmJ2OFaClWijfoVS6jLgfcC7gC8An1JK/SVwl4g8utxzOFaQpdTe8znIZe3/azXT6bX8j6xS9nUrUbefbZ2+bwOmymOqJHy1Op4piEA+hznXhS7kSm3Mk65tjvtAKAypMVRN3aI0CuUSGSawZat81s70iSZ4+Dd+gQ995d+4+6GnK3miY0MT1Pzp/yXiKcYO/S6hG26ulGuqBRKL9Q2ZbaM0uTSYAN3YjmrfMccH4YDVMZu7mEXMDsdKsCIlJBH5MfCbSqnfxTryvg/4AHCrUuoIcBj4ioikV+J8jmWwlNp7NAax0lxOI4ApaWdK7zXGepKI2NetRN1+tnWGQnZOkkwqFYmAKKpMrLAPFXKYoV4IAlR90/n1zXEf8IsQjiDF4qI1CrpjJ6EXvxHJjCN9Z1DbLgMU5tRTHHjDjRz42ddz45/9Bcf6xyrvKQTCh7/6bQ699QOz3pKl+oZM3yhldBDlF+19K2QJjj+M9Ha7TXMWVtNs7qIVMTscK8CK/i0REV9E/l5EXgfsBv4U6ADuBM4ppV64kudzLJ5ySQEvhAz3282ame23k2vvqqndWuDHkqUp0YHd4EWgWChlRDQqlkS371yRuv2s64wlrQZHl/5TpV/hchA19Si2q6e5vWTWlrO+Kg1t89+HWBLd2AqxxILv02R0Swdexy5I1tqslF+098kLofIZHrrtzWQ++xtT3nP43+4n0r6d2267bcbxpvuG6B170e070Dv2ohJ1FU2OTDLSm7Kejp2Ebnor3t7r7D3R2o5vQDC93fjPPGKDo56uhX1AFwnloNF/5hFMbzeSGV/x+6W0RrdsRXdeanVILnhxOBbEqvnAiEg38PtKqe9iMzCdQOtqnc+xMJZSe1daE9p/A6bv1PkuJD91/qBaQ6wWfelzCO2/YUn/AFdL0c+6znAUahshPQr5sualSvtUeZOeGC4NirTt1Yz2o1q2oq+4FtV/Buk7hQz1QG2DtfP3QnaA46QupIXcpxnXsOea88cv5Et+NykkUYuqaUC3bOWWN9w8ZZ5SEAQcOnSIu++6i2wmgw6FbPDy7KMEZ36MZNOozt1L9g2R3lNIahTV0FZVmOwfewjPC6OK+Ys+G+DM5hyO9c2qBDBKqa3Au0v/7QBywF8CR1fjfI7FsZTau+7YSeQVb8NP1p73gSlnFBboAzMbc6Xop69T/CJq/BySS0NQJeOisFmZWBySDahY3K4xlrCviEStLqanC/PUUatj8X3EL0AQoNs68Tp3V+6Dbu1c0H2afg1SzNtgRbDHN4EVGIciqHgNeusuVG0Dn/rAO7n9v7wW09tFzW/cUQnDCsUit77qBXz647+LMgHBmR9jTj2NmADpPo60bEXVNthrWqBvyHzmaWbwLMHj37Mbthe+6OfyOLM5h2N9s2IBjFJKA28E3gu8rnTsx4APAV8WkbE53u64wCyl9q47dhL+yffivXBpTrzVWIiuI3TTW5HhXvzHvo95+kfW1K0s5NXaloe8EDS02pINgr7iOnQhWzHbk1gSOfUUhKOYsSGCZ35UOScNzTAxaoOfUBS999rKhr2Q+zT9GhDB9J+1JatIDNW6FeV5iFIQGKutGe7FpMeRfAZJjyOjg7z3ml3c9cjJynHv/PYR7r75bbznBfu5/adfbYOgzAQGkHwOr/NSVG3Dwn1D5hBwU/LJkWIBHQTQ0Ozm8jizOYdjXbMSTry7gPcAv4zVu6SxE6rvEpEHl3t8x+qxlJZZpTVeWydeW+eyz7/QFH1oy3Zrif/0D2F0ABBbCopES51G2dJGkkF3bAcBNTY0pWWYkm5F1bfY7Mv0c7bbc8r4IOb4UavlKfu7zHGfpl8Dja1I93Gr04nGQSm72V12NYwMYIZ70fEkNHeg/ALUNyNPH4VikQNvfjEH3vUmPvrVe/ncdx8lMEIgwp3fewIa2rj9DTdgRMAYJDWKGTyHStbByMDCfENmEUaLCGbwHKQnoLYete0ydLLOlUqc2ZzDsa5ZiX+Nfgz8NnAGeD/QLiLvc8GLYz7mTNE3tiLZNMGZH1v9x4lH7SZbzrZEopReXAkUKOaRYgHV0GLFlt3HMT3dmO7jSGYc3b4T3bHDGsRVOadqaoPAn+IVs+hryKWRXAYlAvXNgNg/59L2+XAEmjsIXf0iwi95E97OvXb2k1ZQ34zWmtvffjPjf/6BKT1Vd379W3zknx5AxZM2y5MaszOpfvxo5drm8w2ZVbicmcCMDNjX1LdUZk0t9Z5sFpYieHc4HBeOlSghKaCIzb78AfAHM9LTMxERceYTFzuzpOhlYhQZPIeMDWPSY/hgdS3ZlN3ovWm/tkrZjqTS/4b2Xn8+sJg+cNEYgpUsC0y7Bin71ITCaK0RL1yZIF0+vvIL6EQduvNSTP8ZlF9EwhH05ODDGN577W7uPvpsRRdz+N8f4Av3fI/h33qHzTzlMqj27YT2XLMgncqsnjBjg7bclazDa+2ccl8u5lKJM5tzONY3K6WBCQOXrNCxHBcLVVL0MjFKcPaEnXeUnUAStXbqdBBAsWiFu9qfehwR20KtPdv+fMmlqKtfVFW3YgbPrWxZYNo1VHxqsmmMMRAUUV5pgnS149fUWTfj1KgdW1DeDLXmwOuu48BLdvOR+5/hrh9abUwhMNT/6d/y7ufu5MAbboBIfIpmZz6qCbh1LI5ozzoX19RPu7Xn1yzhqL1/F5FfiTObczjWLyvhxLu5/wVzrBrTbe6lsdVmXlKjtlQUr0E3t6N27EUN9xEMnrNv9IuVbqWKBkYEIjH0jn2VjbWabmWlZ9DMOF5jKyqWwKTHrdhYKStMjiUrOpzJx9e7rkQ3thKMDsLYEKZURhIdAr8AKA686iq++GgXhcDmYgIR7nrkJCqe5MAll83Q7MzHdGGyRCIEP/ouwZMPImeeRZraKmWk8j1Rnkfw2Hdt+W2FzdzWO85szuFYn6yaD4zDsRBU+w7UuS7MSC8yeA7GRyAzYTeJkl+KUgqa2622RYzdRLIpyKet/YtgN9RdzyG035aPZJaNZkpZoKfL+r+Uh1LGktb/Zd/1ALNmG6b7vei916LLZYbxIbvBF3L2mFHbvi2nnqpadtChEKEXvI5gfAQGz0FmHBOK2EyTUNL3wPBH3wR1TdT8/hcq13Ln9x6HUJhPf/iS+f1fqvjslOcnmZ4uJDWK5DKYgXNw7gQqlrQt6IlaVG0jJjWB9J6yXV1aQTaDCT+LmRghfOOrN30Q42ZEORzrDxfAONaEqb4pWVQQlES4+fMTAQLfdtqkRq1TactWpLbBth2PDVkXYKVQ8SR699WErn4R5vjReS3fyyZ10tdtBzamxiAcscdp3oLpP415+B5MIYcqFqYcB6juWbNrH4ixguFc2rZPhyKQqEHFa1ANLbNmLHRrJ6GOHXZ2Ui5tNTPas5mbeA2M9NtgKJfh/S/Yx52TJlt/7oFH+PRtc+tT5vLZAWwLeN8pCIVRiRokk0KyKfBCeG3bQClM3ymUUhgxkMkiftGW+B7/Pgoh/JPv3TAZidWYa+RwOC48LoBxXHCqeb8Qjlqn2mLBGr4pDYjNDKTHMbksWiv0jr14L3ojMjaI9HWjwlHU7uegij7+w/csaE6Q6emyDrvG2GnTNXWY9AQycI7Ct//J6mmCIsoLoZq22A184CxBTzcokImRGedQPd2AgNZWqNvQggQGJIBIHG/v9Xh7r5uxUVbuRWoMWraiggIyPgK5LCIGhSCxBKTHQSk++VMv51Mfej8f/sv/x91fv5crtjSR/LmP8f5feoRDn/uLWe71v2NOPWU1RPEEGCndlxHrWdN3yo4nuOQywHYlyXA/UrCuxFLMQ2aCwAikx0AMKhRGigUkl8V/6hH0niOE9t+wmr82K8JqzjVyOBwXFhfAOC4os3m/GGPg2INW96E966Qbr0EBkknBSD8ST6LqW/DaOlHt2+CK51WO6d/71QVZvgOV8+tkPWrbHmviln/WBg7ZFKCsMDccQVLj6O2XQ7GA6ToGgN5+OappS+UcZqhv1udkuB9JjyK93bD3ujnvhW5qA8B0PYnp6bYOvvEadLIOo5TVBeXSyFAPt//KL3D7f3ktNb/0WwRGuOPzX+SOz38RgFtvvZWDBw/a+/LgNwke/wGCWBdgsUGbVna4JMYgoTB6ckt5sg5J1Nps0ugAEgRIznrtqHAU4kn7WhErsE6NEjx1tGqAtp5Y6jBMh8OxPlm//9o4NiWzer/k0jZw8Twrzs1lrAg2PXZeTxKJojt2zNgk5/KTme5jMv21UNK6pMas3qTc0QRWHDx4Dvnxj5CgiOSzSCEHk1qwlVKoeGL25+bwUam67mwKyWWsLicUQpXam4km7LrS45jBHqTk//Le174cz/OmHPfQoUMABMeP4D/1CDIxCsUCyi/YjNZwH8HEGJKeQNITVt8xW0u5Mba0l0vb85eDlzKl9nXJjK9rn5jlDsN0OBzrDxfAOC4ss9mz+z7KBDaISNSg65ptS284iqptQNU3o5s70PUtCz8mVXxMpr+2HDCIWO1NeWZRSV9DUEQmRpCzJ+xzSlm9zuRzBIEdaVDtubl8VKqtu+Qjo8IRVChiA4ehPpTxbTAhAvkMxJOE9lzDoc99Ad/3ufLKK6ccWmvNf/3Yr9uOrkgU1dBqBdH1LTaLkh6DYsFqoLPpiklbmXL7NLUN6Jp6e14xU54nl7bBT7zGto6vY5+YxQS5DodjY+ACGMeFpeybkstM3TRDIetFUixYDcn2PXg7rsDbfoUt4dQ1ohpaqvuzzHZMJm3E4ah93fTXlgIGKW/AxmBLSDH7Xzh63kSvkLcll2kZD/G8SnAx47np559v3SUfGasvSUMmhSl3NsUSJdO+kC0DXXHe/+Wxxx7j1ltvnXLeu795v/2DPr8mpRTEk2ACpJi3zsDhyKxOs15jG/q5L7aDI/N5ZHTQBkVjpTXV1EMsjorE1relvptr5HBsOlwA47igzGrPHktafYbS9tt+vMZ6kdQ2QC6LCoVn9WdZjOX7jNd6Xil7kLUbctnVV0rZDhFbzjHGPueFYFLAISJINoOKljbx6c/N4S1Tdd3xGitqLhbsZhr4EEsgdU0oLwTJOlSiFhkdJDh6L8Y/b+p38ODBShCjlKIuHqXmj/+amj/8Sz7yN9+cGtyVSiW6Yyd62xWzjl7w9l1PaN+NeHuusUFMKGyDsZp6VHM7KtmAStSuf0v9xQS5DodjQ+BEvI4Lylz27CoSg+YOCIeRU09hZrFtn94GS0PbFD8ZxofQseSslu9Tzl/ObuSzJZ1NzDrj+kUo5qwXi1J2407Uotu32y6diRFb7poYtaWjjp2oaNxqTCZGplnO70C1b0d6upBpbbtV113IWa8VMeCbSulLTABK29ECQ734+SwAoetvrmRiDh48yMGDBzGD5/Bazw/c/NwPnuTA665DQiGkWDICbNqCvuwqdKwG43m2bdwvQEMLOhJDb7vc3gsg/PzXICjM6adsliyWLHVJmQ1hqb/SBobrHdcq7rgYcAGM44Izlz27aulABntmtW2f3gYrxbwt78Rr7MYaBJVsiW7fMasPzOTzS7yGAAOjQzZoCEdLIws8CEWgpgEV+OidewlddzPS201w9llM/1nwC6hQxGpWknXomrrS2AO7duV5iAjB8SMEk9p2p1xn2QenvO6WrRi/iBQLNgOTz1Y0NmhsYFVqMfdPPIYYM6ODRjW185yd23ii6zQAV7Q3U/dHf8l7btzPJ99wIyqeQMXimLMnbLkqHEFHYtC0BZUawxRyyPGHCU48VrmHkee/mqCusfLZEN44LcgX01wj1yruuFhQ09OpjsWhlDpy7bXXXnvkyJG1XsqGY7ZvibM9Pr0NFhEbRBRydoxAWyegwPiopnZCz3sZ3t7ZN6XJ5wlG+/G/8zVMz0kbuMRr0KEw1DWhxCC+T+jyawjd9FZMbxfFb/8zpr8bhJI+xHqmqC07CF1+Dbq+GTM2hP/0I0hf9/m23VzGimeLRQiHbeATSyDZjBUPx5LgeUhq3DoTF3LghcHPV84lNQ2o8WFbTqpvAeMT2mPXNvlaJ9+v2lv/1Pq4lNi/pYmHfvsXz58/l7EBU7GICoetsV95vaUNPnzjqza8pf6UzX2DBWELoWqr+LTPcDNcp2PzcN1113H06NGjInLd/K+eisvAONaMWecVVXl8ehssja1I93Hbdh2N2+wEoHZcASMDtpTTewr2Xr+g8+vOS9ENbRTv/2ek75TVvtQ2QD6DeKGpIwaOH0XGB9FNHTM8Z6SvG6lrhMufhzx11JrtTfO7MU8+hAz3W7+Y3VfZ2UclPxk5/bRd27Y9Nnsz1IsoDakC+AXrgJtLVxyIVccOW24rddBMvm+TM03vfc1LOfyN+yrPHesbRje1T1mXPPkwMtwHTW3oSeua7KUT2rK9MoJgI7KZ5xrN5rFUzQ9pM1yvw+F+ix0bghltsLk0ksugRKC+GRD751x6yW2xXuelRF7+U4SuehF6++Xomnp0+w5Ce66pfHNdaDuuOfn4rH43orQtVSll/W/K75/kJ6PiSRso1DTYTEEQWFffTMp65NQ02PEKJeff2TpodMdOQje9lUNf/ms+8Iu/UHm8MRGj5pd+mw/d8eXKulBWdyNKT13XIu+nGIMZPIc5ewIzeG7deasore2967wU3bJ102zmrlXccbHhMjCOjcG0NlgptT8TCttMgRe2f/b9ZbXFzvsNfaHtuKnxOf1uJByxvjKTuogqfjKl/1d1jXidl2K0wvhFyPoQCqHrmtGdl9pyUqmDRjW2ztpBU840HfqLL/PZT/whxfv/meTPf5TACIe/dg+Hv3YP+y9p56Ff/Snr1jt9XYu4n+tdf7Gpxa2uVdxxkeECGMfGoNwGO1xqgy35pZBN2zEEQRHlJa2fzAI29bmYc/LwtHVM3iimnLemrvrrJvndWJHw+b+CFT8ZpRDPQ2E1Lyr5XJSA9HRZjcy2y1A19UvroInGkHCE97zwKu584NHKw8fO9HLDJ/+WB3/p5XZ9k9e1wPu53q3613twtWwW+rvpWsUdm4RN8tXDsdmZ4ZkSS9oNUilrqoayf44lV7UtdqGeM3rXlQvyu5FY8vz7Z/GTUUpZ3U+yFhUKw8C5qn4tC8kkSD4HQz188lVX8b4brpjy3LG+YVDaipYnr2sB93O9W/WXgyv/mUcwvd3W96a3G/+ZR2zQ1dO1JutaSRbjh+RwbAZcBsaxIZjeBsvEsPVoCYJKFxKAnHpqUW2x5ZKCZDOYzAQUsyjlodo60c0z9REz2nHHh61nSzYD4TB6+xX2G30oBEvxu9m5vzLxerqfjHfZNeia2ilt2tMzCFOuJ1sqYymFat0Gfh7/4Xvs1G+BA6++mgM37+fGz/0nxwbH0UDNn/09jfEoZ/4kZIPB0uTp+e7nXPoLmtqQieGqQuP5PpellHqq+QRdDOLWi6lV3OEAF8A4NhBV/WPqmyo+MCoSXVRbbLmkEJx9FnP2WSQ1ZruPInF0QzN6x17Cz3/NjOOU1+E/+E2Ck08i2ZRtcfZq7fvnWu8C/G6Aqu/x9l0/pz5n8vUEZ56F9LgtScXiqLom26Iugm5qx9uyHRnqwWTTPPirPwUmoOYP/wqAkWye5Mc+gwZSt38E3bl7/vLPCuovllPqqfZeFY6uaHC1npnrd27TlMocjhIugHFsKKqJbGlog9H+RX1br+g1uo5hBs7ZIMgv2k6cbBqTHrObWnqCyM1vq/oPvxGrVSEaR8WTtvum7xTFB/+jsuHPJQqeK8swV6BSbZOdcj39Z22rdfl6cmmb0UHZ+7VlO7quEaltQGdTSLGIOf00jfEII9nC+WMCiQ8f4JbX38Sh579m7g9mhfQXy9HRzPZea3aYsXqii0DcuplbxR2OybgAxrHhqCqyXcQ354peo6fLakLKk6fjNfanCezogEIB03UM/9h2wpPKC+X3S183uqFt3pLEYvxuFvJctevxjz1E0H0cmRi1m7FSkKixLygPqPTzVlsz1IOUN/NEKWsUBJz+tbehO3dT84FPYCZlkg5//V4+M0+JZSWs+pfjYzLXe825LszIABQLmB170ZPeu1nFrYv5/XE4NiouJHdcdFT0Grk0Evg2YNEaIlEbuIiUbPs1ks9aPcEk74yl+G0sxxtlvvcGxx8mePx7SP9pmBiBQtZek9J2LIJIqT1bQRBgJkZsxql8/MyEnXwNqKY2sv/yBW55w81TzhF55Tu46jn7Z11jWX+h23fOORhyrixAtfsqInat4TCSTROM9Ff1MZnzM+nYgfJCSFCE3m4nbnU4NgkuA+O4+CjpNQhFUMEYorAtzVAJXOwUag9QdkzA5PLCIvUeK63pmD4byv/hfZihXigWrReOEWuUV5murc8PpCzmIZNC/CIKu4kz3A8iqERpAjjw6VvfBcDdX7+XoBQwPXH8KW677TYOHjxYda3L1l9M9/qZGLUBWy4DgY9kM4g5jjlzYqYb8ByfidYaadwCqVEkPY50H3fiVodjE+ACGMfFR0mvgV9AvJDtZjKBfU7EllxCNluBUnZUweTywiL0Hquh6Si/N3TDzXaswXCvXZMIBNpqX0Tsz/KmHAoDoZKjr8H0noL0hN3EA9/OcwqFp5z/07e+i0994J1c+75f51jPIACHDh3i8OHD3HLLLVUDmWXpLybdVzM+gjl3ElKjtt3cC0F2AiMB/vGH0VsumXrf5vlM0Ko0LqLVamKcuNXh2PC4rxyOi46KX0YsifJCNvtiShmLsvC1FMioaBzdvnNKeWGy34YZ6sOkx5HxEUx6HDPUVylJTG/fXYw3yoJ8VY7cSzDSDzpkhzqGI4A6Xy7C2IyLiM3KaA9q6tGX7EFv24OqqUO378Db/3y8PdegErVV/UMe/m+38Ctvei2e56GUIggCDh06hFKK2267beb9XaJVf/m+ivYwp59BUqM2KKlrsp9TvAaVrENGB2fct4V4oHiduwm9/l2EX/Zmwi95E+GXvZnQTW91wYvDsUFxGRjHhmQ5PiFT/DLyGWvr7xfO60K0tpmKmjr0zv2E9t8wo2tIte+Ac11I95OYfNa+pxzw7Nxv26FH+20pxfchFoeJUSRU2ohL7bvBSD/q2UfRibqpHUoL8VUZ6QcToOIJdLKeoJC3wx6VBwSlDFJJwKsUJOvw9jyX8MvfgorGptw7KXVPzfAP0SFUQwuf+cPf4+DnPs+v/sGfcOiOOyr38vDhw3zmdz62Ip0u5c8l6DtD0NttBcdKQ37IzmeqbURv3VW5N5PbnhfqgaJDoUUJvh0Ox/rFBTCODcdKWMJX9Bq1DdYHputJZGzYDkzUHkQT6KYthK56QUVrMvmcUswjfaeRcgcTTPpZOkk+h4wOIuPDViQb+OCFULGE1XCIYLqO46fHrbndpOsoZ4Tm1NmU1iqZCdSW7XZuUjSGjI8gY0N26KPWUNuAbmzD27WP0I0zfW0AVBX9CpGoDeqKeSsUPvEYt7/9Zr59z3/yxFN2avYVW9uIbN/De1/zEj7z67+67HKM7thJaP91mHMnEO3ZQGvSPVO1DZj0eNW2Z+eB4nBcXLgAxrGhWMl5O2W9hjp+BF9pgr5T4BfRkZgV9kbiBCefBCA4+WTlnETjyLmTSCZlp0J37kLHktYTJpdBJkYInnwYtmzDDPbYYCIWR4UjSDaFpMcx46OQHoNQCON51pdl0nV4e547v86mYTs6EiPIppDhflRTG7qm3nYVDfVhUmN4W3fgXf1idNt2dEvHnBmSyfoVc/ZZ/GNHMGYcNTECk+7zw7///opbcO2tf0pghLu/eT+ffPNLCPrOENp/Hbpz95IzMrpzN3rnXuT0M/bzCYdt1qrcUj1H27PzQHE4Lh5cAOPYMCzHJ2TO4/Z2I+kxvLZtM44Z9JxE+roRI6ikPSfZFMHIAOSytvSUHofWTrRSSKLWBjAj/ajUmM0UhMJWCByvsZ0/mRQM99ryT/t29GVX206ZSdehauqtrmUOXxWvsQ19xbW2zbpK2SS057mLHqCotIamduTR7yLjg+hk/VRPlaE+TNcxAPT2y3nv61/B3V+/l/e+8oV85Ev/zF3fexwBbnntS/nMb3xwSZkP1dSO19iGP3jOapLqGhflKVO5hvJIhWcfRcVrbDbLBTMOx6bBBTCODcNKz9tZyDEZ6sHks3bI4rbL7Ebql7xj4kkIirbNN5uCRO358s7EKKI1JGpQ8SSkxqAwZKc853N2Yw6FUK2dFWO1ydchY4N4e69DUmNzazo6dqK0XtGyyZyeKvGE1fwoBbGE7VR655sIzp6g7tc+Q9n+7u5//w4H3vKyqlmx+fRLy53pM2VERP9Z8AuoUATV1onXuRt9xbUQiSD9ZwFBtW6bNzvlcDjWHy6AcWwcVnDezoKPGQoj6TFI1p9/PhSyuowgjeiQLSv5PjCpvFPTACZA1zejkvVT/EyU8pB8FsIRdGnqc7Xr0PUt6AVoOuYar2DOnlh8GWWuexIEldZsFQQ2KzN4DlKjvOf5+7jr+8cQoC4eI/Ern2D/1lYe+XJDJSu2UP3SUvUsU0YqDPfbDFng2zbs8WFMTzccvddqjPyi1TfHa+bUBzkcjvWJC2AcG4cVmrezqGP6RQjZLqXK86VyhEmPQz6NxJMQCk0tcTS2YQo5pO8Uast2dE19ad6Sbx/PpqzTr+cxOUSYfh26ZeuCNB2TreNNTxfBff+4dJFzNIaEI5jxEZtVCk3SoHillvPS/6tsCsllEGP45FtezidfdRUk66n57TsBOHZugPir/wvv/6V38tk/+fii9EuTAzPJZZBsChWrgXAEMWb2cQI9XUghB1qjahqQWAKVzyCZFDLcZ40JtbYTzBXI2DBmbAiTniDyiupzr6qxnE44h8OxfDZUAKOUagbeArwBuAroBArAY8AXgC+IyAxTDaXUi4DfA14AxIAfA58HPiMiwYVZvWO5rMS8nUUfM5ZAJ2oQI1OeV80dMDYE2TQqm8aMDUH/mfMljmtvQj11FH/wXEVgqxK11p9kqA8VS9gF5DJIqfQ023UsZq7NSoicJZ+DoR5kdIBgfMQ69MaTqOYOpJBHRePn1x6O2A6rfNYOkAx8UJr9HS0V87vAGP73F77EnX/xZd7z0ufxqff89IL1S0prpFjAPP3IvAHZlBERSgMC8SRaKUw0ASODdp0iNnBt2mKF1ZkUZCYwJ4/hb5k692qu+7zcTjiHw7E8NlQAA7wDuAPoAb4FnAK2AG8F7gZer5R6h5RdrACl1JuBvwdywN8Aw8BPAgeAF5eO6dgALEQbofdea7+xL/Bb8ZRj9nQhQz1WdOsXIZbE69iFt2tfpQtp8jlVsg5V04hqbEFFotDYNmUTU1oTjI9gTj8FA2dQsSQiBhUKo3fur3TyyMTIiljbG9/Hf/geTNcxVLIOOnfPEAdPDxKmZxEkn8N/+B4km7YOxfkMkhm3JZj+s7bTadLazdgQjA7b+UueB2HrCPzQr/wEUlPPR//vPXzuwWMERghE+Nz9R/nUbb9Y1ROnMj+qJMAln8OMDRI88yNMb/f8AdnkERGFHITC5/U7QREx1oUY7Vl/GzGlgZY1SCGLFHKVuVdzBYyLCRJdlsbhWD02WgDzNPAm4GuTMy1Kqd8BHgTehg1m/r70eB1wFxAAN4nIw6XHfx+4B3i7UupnROQrF/QqHEtmLm2EaunAHD+66G/FumMn3q59SF+3Faimxqw+JVHSRlz9YnRrZ9Vz6r3XWg+XWTYorQQJAiSfRfJZVKIW3bmb8PNfA7Bi4lvT04X/8D34xx5EUmNQLKDzWaTknVJN5DzD2yYcsZmXbNp2Am3Zjgz1YDIpa+kfFFGeR+imN6N1CP/YQ8hj37Ut56VOK9XQApEYMj4MPd188mV7OPC2V/CRrz/M5771A+qiYeI//UH2b2nkoV//+fP+LiXdjzn7LPLod+068zmk/zSSGkO3bkXt2Dt31mbyiAil7WcSyoKnkSAA41uPHoUtIU0WT4ciiF+wnWVzaKgW0wknfadclsbhWEU2VAAjIvfM8nivUup/A58AbqIUwABvB1qBL5WDl9Lrc0qp3wP+E/gA4AKYDUQ10Wo5c7DUmUPByScxxthNuKYOKRYxxhCcfBLd2rlof5Hz39JPQThqDdmymfODFWe5jqV8Qy+fK+h6wtrvA6THMJkJJJ/D67wUVdswReRcLYtgxkeQ0QEQ8LZsR9c1YgBd7LIlmNQoJj2BOXof+vqb8a56Eaa3C5PLIMoOvZRsCjIpGwQW83YatufxyddewyevbaXmf/4/AI71jZD8tc8C8L4XXcWn3v4KiETxjx1BxgdLpShlh1QW8gSxJKHUGNQ2zNp1Vi4HBqefgfFhW0rKZ21wZQJspIXNLIXCVttEWetUsKWlWHxODdVCO+GC40dKmaOuJZfyHA7H3GyoAGYeiqWf/qTHbi79/EaV198HZIAXKaWiIpJfzcU5VpbJuhAxhuDery7JH2byN2qdrEdt2zPnexeiRZn/W3r3oo+5sHPVQ30R0uN2flAug6TsRGeVrKuIgyUcxTz+vRnrI1FLMD5iy0ZDPRioDFRUIoj2IDVGcOJxxBi8nVegvDC6rfN8p1U2jYwOgi4NwaxrQnfssIZ+KPY3JTk2nJ5yDXd99zGUX+T2d78dkfGK9wwTo8jEqM0opccwg+fQNbYbrFrXmb2XHXYqdyFX6gwrWkdiVUq9KD0l+yIiVgPj+6h4csbcqxksoBNOCnmCp45i+k+vqF+Rw+GYyqb426OUCgHvKv1xcrByRenn09PfIyI+cBIbxF26gHMcqfYfsHd5q3cslzl9S5raIPDP6ytW8L2rsZ5lXXvHDus5o5Ttuokl7OTpbBp6u88PmVRSfX2hMCpRY9eXSSG9XbZ0VBqoSDgM9c2opB0maU49UxLxZuyQyJ370Fu2oZK1EE3YDqZ4EooFK56Nxnnw3Tfzvmt2zriOzz30lO0aMsH5NZXa1e2wzeC83w7nu7UIRysZEzEGGeyBcNgGha2dkKyHZB3Ekta3p6YR4jWQSSH9Z5D+0zZbE46gd52fezUr5a61XIZJUrupawqKSGb8gnz+DsfFzGbJwPwZcCXwryLyb5Mery/9HJvlfeXHG1ZpXY4LwXL8YdbCW2Ypx1zAubTWSMtWgnzOZk3yOaRYhLEhJBw5P2SyUKi+vrjtNhIvZMtF0YTNvEQTNpujNDqehPYdcOopTCFnRxmUJkCrpjZUOGozNVrZjEgsYUs1gc1wSCjEgTc+n9vf8SoIhfjIP32Hz33vCa5obyb5/j+quPh+6pfeatu0YwmbUfKLtqXd92ft1ioHcyocQe2+CpVL2/cUC0gojPSdRjVtQYcjmP4zSGbCfiaL8IFZUCdcog6Tyyz683eCX4djcWz4AEYp9UHgY8Bx4J2LfXvpp8z5KkBErpvl/EeAaxd5XsdKshx/mLXwllnKMRd6rtoGO9SxVM5hbBBVU4936ZWErr/ZDqYcPFd1fZX28P6zEBQhNWqDkfHSNOiaBiu41doGN34BvfvqKaMMUAoyE5DPQ1uLHVrpeeCFbKkGoL7FZmrCUT714f0c+Lkz1H3wf1b+Eh7+t/s5/G/3s39LEw/9xs8jkZjV1agJzEifHcNQrVtrWjBHonaKx47JpFDRGN4LfwKdSyG9p1HhMOrSq/BaO+cNFsoBhmreguprwYwNoCZ1pYn20PWt0NIOp57GZNOoBX7+ri3b4Vg8GzqAUUrdBnwKOAa8UkSGp72knGGppzp1017n2IAsxx9mTbxllnDMRZ2rtsG2Ufd0QzhM6NKrCL3+XehQaN71USzYTIrnYdITVoybrEfHk5Vp0JM3YX3Jpegtl1Q2Xynk0fkckh5HJRugxv7VU7EEMjJQ+X/VtMVewHA/KhTmva95KXd+49tTvkkc6xum5mOf4b03XM6BN9yIrm9BNW5Bzba5VwkcRQSyKcQvYiZGbHbmR99BinnbeRWJorMZZN/1qDkChRkBhp+3QVKyzrbQR6KobAr8PObMCWTgHKTHMWdOoC+5dM7PfyUHlDocFxMbNoBRSn0Y6+XyODZ46a/ysqeA64HLgSPT3h8CdmFFvydWdbGOVWUuf5jKt+LGNoIqQ/2WO3dnseuZfEzAZkOWUTKY71zezufYzEsoNKVEodq3o8aHkdNPIwNnkVjcZk006LYdeC/9CeSH3yE48bgNhtp3WFO5Kpuw0npKN5UZG8J/+hHblt59vCRszVkNDQpVzCO9pyprVFt28Olf2c6B113Lh/76G9z1gycr1yfA3Q89ze0//0b0Da+AQhGKWaS1A6M9ZOAMqlCojE+YHJhJOIKU2sIlk7LC3rEh/OF+VCSy4EChaoCRy1gvmXAU1WZbpiU9ARMj9nkxtnX+zNOYsQF0U3vJK2fq79RqDSh1OC4GNmQAo5T6Tazu5RHg1SIyOMtL7wF+Hngd8NfTnnsZkADucx1IG59q/jDlb8UyPkTxnr+bMdSv/A1+qXN3FrueyccE8O/96oqUDBay/hmeL8U8MtJvN9lMGoZ6rPi3ph78PDz9KHrHFZXyEKeewswR2E3uptKdl6IbW6esx2tsBe2hFNaTZbJ/T/sOguMPgwm4/R2v5MBrruEjX/sBdx213ysESH74k+zf8nkefPerKy3WhMOo2iY7iLGhpeIFpCdGCbqO2UCrNAsJLwR+0WZewhF0+5XousZ5A4V5A4zRAVtimzytPDVmS17ag0wGZATxQui2S6b83sHqDCh1OC4WNlwAUzKh+yNsRuU1VcpGk/k74M+Bn1FKfWaSkV0M+JPSa+5YzfU6LhyTfVXMmRP4xx/GDPdN2cgqQ/2G+6Z8614pT5bZ1jP5mNJ3asVLBnOtf3oGARE7pbmQs5usUrZTSCmkWEQGz+FnJtATo3i79qFrGxYd2M22HmDm/ejpwh8dxKTGK065B970YlCazx99lqDU7XOsb5Sa//5/AXjfVZdw4OV7kYkxgvQYaqwFM3AWPTGK3nkF0tdNoLCt3IlatBey3ViZMRvIDPUgc3jKlFnstHJSYwRnT5T8eMT6zSD2usJR9BXXTr1vF1Lw7XBsMjZUAKOU+kVs8BIA9wMfnP6XHugSkb8AEJFxpdT7sIHMvUqpr2BHCbwJ22L9d9jxAo5NgtLaWtE/+l3rR1JtqF/B6h+CnpPoyX4sy/RkmW09UzbEVSwZVFv/9PPR2Ip0H7fC2kgM8hlAQWOrTXX4BSQcRSdqrTdObQPey34Kb7R/0YHdbPdz+mMmHLXOvelxqGuys5eU4vZfeCMHXnOGGw9/faZ3zGNnuOuxM7zv6m0ceP31tp06btdc/h3QmZS9j+EwUiyiTj+NxJJ2ina5Jbs0h2rWQGER08rBlgQlNQpKoxIJ6wgcS6Bqm5CxQcxTRytjJoALK/h2ODYZGyqAwWpWADzgw7O85tvAX5T/ICL/qJR6OfC72FED5WGOHwU+PXlukmNzMNdQP4klUfmczTrkMhc8PX+hSwbTz0c2ZVt8RZBkHWTGAWXnBoWjyFhp4GEsARMjmNEBvNF+2020WiipuBNPbhuSYh78Ig/+3AtAaW78P9/j2FBqylvvfvQ0n3/sDO9+/j4+/dFfQVIjmJF+MAGqrhFd32RfmJmwZaTAR7wwKvBLRnfzBAqlydwyPoKJ16LCkyZzT59WnplAxkdsIBaOWFfiYh6KeaS2EVXIEYz04036bC+k4Nu1aTs2GxsqgBGRjwMfX8L7HgB+YqXX41inzDXUTyk7RNAEqNAapOcvdMlg2vnE920ZKRRGIQjKal/K3/69sA12gsCa0V2A+6MKBVRtI4wPo4oFKAzZzyiXrUy3RikefPfNEI7ajEwpkBEgEOHzP3iSz5TXLAFozwYU5esqibclNQbZtA3QQqF5AwUp2MncVusybMtRpcncFAtTp5Wf67KZJL8Ixtj/yqXL008j4SgqCDCXPVsJCFdDRF4N16bt2IxsqADG4VgQk4f6ac9uKJPban0fogn77XmSk+uFXNsFKxlMO1/F3TabRsJRrD4DO8tIBAmKKC+JeN6FK19EY6iGFtTYICoSs+WdwEd5YTtB2i/aDI0xgOLBX7qplD0RPvKtY5UMzIe+8FUOf/N+lIL3v/4VHHjTi6ZkNVRzB4wO2dEC2RRmdAj6z8waKJieLvyH7rHaGcFmpjITmNJkbt3Uhrdzf2la+TGCR+63JTkpZZRMKfgSZYOGQg5RCv/YEXTbtkrgsBQR+WKyKa5N27FZcQGMY9NRScv3n0VNDNssQzaNKWtgShkHYokVS88vem0XoGRQ9XyNrXZwY3rcljq8EKBKHTpFu+FG43aTX+G1zLfGoP8MokOoki7FxGug60m7FhOU0i3loMAOoz/wiv0ceP31qEsuo+5D/xOw8cPhf/0Wd3/j27znpc/j9p9+VSWroWrqrCalpg4VCkNjK15j24xAYcqMrKZ2KE3mrrRkG+ssHLr+ZrzOSyEUJjh5zN5TY+x6lbIBciQKuTQoD2IJzNjADJ3TYkTki8mmuDZtx2bGBTCONWela/NT0vL5DJIat8LKsUHbhRSKQCSK17FrRdLzS17bMksG5fsmuQySTaFiNah4Ysr9m34+JoZLgUBgBc5e2GZlxoZtUBBL2C4tv4hqaEEaW6x/zqRjw8xOornWW1lnNoPkUlW9eFRLB+rxH2CGu5HAh1AUpUvDEZu3QmrEln5yaRuhGBvAWDFyHIp53vPSa7nz20cqWa3AGO789hG+c+IcR//Hb5xvq48lUSZAlEL7PtLQikmNIqd/XLlGGe4lGOm356xrRoVCsGMvujSewPSeQprakcw45uwJEINq2wZGrCPx+BAExg61LOTsmiMRdNs2yFfXXs0mep7898OMDZamXHcvKJvi2rQdmxkXwDjWlNWqzVfS8rUNBGeftW3DfsE6sbZ2zvDjuJCshO9M+b4FZ59F+s8ifgFCEXTbzGurer76JtuFE69BxkesmV0+C7mMHUEwOogMnkNOHEMiUVS8Bt3WWfJOwWYYFvB5TV5n5TOY5sUDEJx8EiSwZSPt2flFnoeOJQhd/WJkdIDgmUeQoV57Xl0q00TjqIR1Cf7sH/wWd5TWcdttt3Ho0CEAjp3uIfYzH2H/Je089LvvRqVGKxkIP5+FRx+AeAIVr63cP1EK03UcSY9ZHZUXskFXy1Z0XRMy1It0P4WfmbBlr6CInD2BpMdta7pAObNFKGK7kmob0PVNyBgL1hZN/vsh+RzSfxpJjaFbt6J27J0/m+LatB2bGBfAONaM1a7Nl9Py3hzf/teK5fjOlO9bNbO2YHwYmeZxM9v5aGjDPP1D/KPfxmTGrSg18G2AYAIbzCgNWiPRGMFIP0FpSrSqa0LXN8/5eVU+365jmFm8eILxEbQSTO8pe/3lIYzFIqTHEN9HmYDQG9+NfuoIxe9+Axk8Y8tIpc4epfUMj5WDBw9y33338fjjj1fWc+xML3W3/RnvfeUL+eTrrrMC3cyEvebMOBIdIxgbwvR2I34A6bGSjkrbdafHkXwO1dBigzEFxvPQdY2Y0UFkuM/eu3DEluakYAMZYyAWR9U1IbEk0n9mQdqiGf49SmFKAVwQSxJKjcF8XjauTduxiXEBjGNNuFC1+dXwdlkplrK28n0Lek7azdLzUPGG8xOjCzmkkKt8c598/6p50khvNyY1gkIh0RhQKs8YZctMWp/fkIt5+1w0jorE7LGh6udV+Xx7umygMJsXz6njiLEmb5USR2kIo9Q1It3HMaMD6OE+6DuNMkX0JXtm/L5U81h57LHHALhy316eOP4UYMtKh//9AQ7/+wMANEZDnL7lZmy2xAeTQgpZG3hEonYtoTCSrLf3d2IEGekHv2gnW192tV1zJlXplkIpm4XRnu2I8g2oBDS3w8jAzCnaVUqowIy/H0yMIhOjtpMqPYYZPIeuqbeZlFmyKRdac+VwXEhcAONYE1xtfmmc97jJVNqfiZU8buJJKGTt5Ohcet77N/1Y+EUqRixKA5MEs8bYLADKZmRKnTwqUVv181qwF082jZgAFYmVhi76VpNT8lopb8oycHrJvy+P/se/Urz/n/nQnf+Hu799hKCsnwFG8j41n/4m+5uSPPgLLy6Jg0sBSKL2/NyjTMpmYlLj9o3xBHrbHrTWSGbCdihFYzbQK2WEyKZsVstY92N6TyHx5BSd02wlVNW+fcb1SrmDTHtgpprxlbMpNLTYbNrZE5VgaCXbtJerV3NeNI6VxAUwjrXB1eaXRvm+hcM2szHN4wYvbMs/C/G4mX6sUqkErazXtdI2nlGq0vWDVudfVzKCq/p5LdSLJxy1Auu+U1ZPYoLzepPmjvMlDtTSf19KZZQDb7+Z29/3s2x9z28xki1Mecmx4TQ1n/5maUTBFWDECoZrG1Aqa1vuTWDvgwISdei6RvvmkreOCkesgV0ogrdlGxiDGRtCxoZR4RCqaQveJZdNmU81WwlV9XRBPjv1ekvlT9LjiF+0a/L989mUYgGGevAf/a7105mkT1qJWV/L1as5LxrHSuMCGMfa4GrzS6N834pF+03cL1bun5R8XNAJ1EI8bqYfq+SzgimZU4uxpRSRUkYG+5wxNhMQsv98VP28FurFU8xbwW4xD0ERiSWt3iQ1BqND6Jo6m5Fo61zy78vkMgrpMU7//i/CUA/bPvsNRvL+lNfe9dgZEDhw0xWQzyEjfaVOrTCoaMV/hsw4ZnzEBjGlzIhkJgCFiiVRNfU2O9V2CebHj6KbthB64evwdl+9oCnUMtwLxiChcMVkUCmFbtlKkM9C/1lQE5iRPhjuLd3DIkIa1XcKqujJQje9dcnZj+Xq1ZwXjWM1cLk7x5pQ3lTwQvYf7NJEB1ebn5vKfYslrPGcUpBLY4yxLb8olBhbVprn/k0/VmXwIJwvpYixwYvWNmgpGcqpWMJ2MM3yeZ0/dtKup+zFY0yprKSs9qVYsMeta4JI3DoAe2H7Db00U0hfcS26eeuSf1/KreS6factUeXSYAJOv/8mUv/1lexvSk55/eefOGvXa3w+8i8/oP6P/oqP3POEvebaBojXgO9jTj9jrydeY71zfN9qYybdG0YGUPGkzbyUgheYu4SqmtpAh0rt4sGU66WmHpVssB1NjW2oxi1WdxRPQjiMbmpH79iLbt+B3rEXlair6JMAdMtWOy28ZeuiykaTg63Zji+TSnMr+X6HYzZcBsaxJlwoC/XNxuT7FuSPQWoMmRi1bc8ljxsViaE75r9/1Y5FENjykAnO+60UC+d1HaUuJCnkkN5Ts35eVb14JkZgpN9qSUIRiCetGDhZi+rYZY3ichk7pyiWsBqbxlZUNLaA35cdqPbtSE8XUiW7MLmV3Pc8zLOPW58WCXjw514ISvGRe5/k84+f5d1XXWKFy2L4/I+6CUS464FHueuBR9m/pYmH//TDmO6nkPSYza7UNqKKeSQcAWTWewN22CP5HGa033Y0zVYSiyVK9yeOpEdnXu9zXoC352o7DmJ8GL+kt5kcDAEQi8PAWTu4dLAHr61z0b9z0z1xyKaQkkZpIXq11dC7OS2NA1wA41hDVsIP5WKkfN90yeNGBs4ixdl9YBZ7LJNJQTFnvUtE7Ayfaj4w83xek714/Gd+VDF8QynrghyJW21MPGGPW9tgRaklIa8ZHUJFohVdy2y/L8rzEBGC40cI5tBWlFvJ9VUvoPhv/4fgySMl51xbFjrwiv0ceOVVNnipqYeJUd793B2VIAbgWN8wiff8Ae9/6fM48OaXoJu22ACrsRXP82a9NwD+vV+t6D8kKCID50AMsmV71ZKYbt+Bt/d62yk27e+HaulA+k4TjA4gIwNI32mrTyq1VsvEqJ2MXeqcUvkM/gP/gnrBaxf998qcfbaqJ45u2YqqbZhfr7bCejenpXGUcQGMY01Zjh/KxcwUj5s5nHiXeiyiCTvXJ5aAXGbJTry6YydiDKr/DKqcJYgnrXZHKeu/UsjaMkiphRrsJk7/GQi3TdG1TP99MWND+E8/gvQtzJlWaY3Xegly9YsJerohl7It41rb6pkCwhFUsg4JAm5/80v41K//Ktf/1v/k2OmeynE+98AjqEQNh//tMyil+JVffhcH7/p81Xsjfadm6D9MNl0R46qzz0Ln7qrtzd7e62DvdVOOKfkc/sP3TPGHkXwG8jmCs8+iG9psRiM1WjEcFGMIzjwDD3qL0puYni78Y0esu3AuM8MTR2/dNb9ebQX1bk5L45iMC2Aca8569mpZz6zkfVvssRaT6jdPHUXGBtHNHdPEqn2YU09DIY8Z6kM3b1mQR0l5rWIM8tRRpK97UV5CYgwy2IOKRJGmDsiMW7t/e3BbMsumUc3tdkRA4HP0jj/lQ3d8mTv/9R5E4D0vvZa7S14yIsL//sKXOPS5v5hxb2YT6yoRzJkTSO9JzMA5VNFqZ2YtyZWOKcbgf+vvMaeOoyJxaO1ExWuQILBlq+F+gtSYLf+Fo6BAac9eS20TprcL/9hDeF4YVczPGYBW1j42gErWI9qb4YljThdRtU1z6q1Wyoum2r0ErBnhcD/m1HH8mnrCbq7TRYMLYBwOx6oxt/5hC2rwnO2eGRuwhnqL0EEtVVtRfp8KR9DPfTEM9SCDvUgxb7NC6XFUbQPetS9Hhvoqmpvb3/JyDvzEDefXtvM+7vjil+0xSyWmq666quL+W87MHHjD86uuUV9yKZIZswFGQzMqFJ63hBocP0Lw2HcxI/3WpyY1ass5yTqCxjboP21FyiErAlZaQ00DumUr1NQTPH2O4PHv2SDAC889CLJ8n0yA2rYHc+4kpEZR+ZzVW2VTiBj0tsvn/JxWSu82/fMmNXa+TOYXbSDz2HfRHTsJ7b9hzmM5NgcugHE4HKvHfPqHumb7s7HN6mMWo4NaqrZi0vu01tDaibRsrehvzHAfqqmN0K7nwO6rZtVoHXrze1HJWg4fPswtt9wCMGV0gYhwx+e/yFf+5m8Zz+Z47+tfwadvfdeUNeq6ZkjWErrqRbbLap4p1P7Rb2OG++xMKT+K5NJIehyVz+E1tWHS47YFPRS1+pRJWpWyi68UC+gggIa5R0FMuU91jXZCeClgUIGPxGvRtfWE9s6vPVkRvduk9ZAaIzh7wpbJxNjMUDGPGe7DP/ptdGOrKyVdBLgAxuFwrB4L0D/o9h2EXvxGlFaL00EtQVshxmAy43bcwvgItG1Da13R34gIDPdaZ+BozG7+c2i0Dh48yMGDByvHv/LKK6cEMQAj6SwAh792D4e/dg8A+3d0cvTgn9jrb2xFb9lmsySzUCmfjPRCJGZ9e5L11jc5m0ZSo5hIFOoa7ITuUBi9/XJUorZSrjGD5yA9AbX1qG2XoZN1c5fbpt/f2gZ0TX3JMdlO5Fbb9qAvuXTuz6nEsvVu5fUMZTCZFJIaRYWjEC+1wReLEApjRnpXZAyJY/3jAhiHw7FqLFT/oFs6FrTZTG6flXAUVd8CC9RWVCZjj/Tb9YwOYMaHMS1b0a1brZ9LlVlFi9EHlecviTFc9Zz9lRlM0znWfZYPHTjM3d/6Ae9742s49FO3zHm9pu+0nX+lPHRjq53KnUtDLGk38HwGGRtE1TbhtW4lCAJkdMiKfENhjDGYkQF7PfUt1mSPuctts3528RoY7rf+No1tc850Kpv2TR8iymi//QyHe2FSEDNne3RDm3Vuzk4g6Qnb4l9XCl5yafs5Nbba+ZnzjdFY4TZs19a9NrgAxuFwrBor6fdTrX1WeR6qphFJjcx57CndK5kJZHwYJsYQE8BQL0HXMVS8Bpq24O3cvywPovI6j3ziQ1DI86G7/4a7v/UDrmhr4ljvEAD7O1q4+1s/IDDCXV/7D77z3OdO0c584AMf4DO/9+uV65WRAUz/aUDZLEZNzhr95XNW71Kwgzb1znZ0527k0e9i+k6VApgoGDt2gGQdXmvnlGzVrIMgF/HZzTrTqaUDGew53z5ezNtSXbzGZk8maXCAWdujJz8n2TRMjAAgJYdilKpofSQ1Nmdb9kq3Ybu27rXDBTAOh2NVWQn9w2zts3ghVG0jesv2Wb1ppnSvKEWQy5Vci+X8nKd8FjGCqm3E27VvyRtPtXUeeOvLOfCTL7S+Oo2t1tsmHOXDX/wn7vraf3DLLbdw6NChyjFEhDvuuIM77jiECLz/pc/j9p99rd24C3mCSAyvsQ2JxuxAx8CHUA7dbF14ZagXJEB5YTvGoViw16q1PXdN/ZQ1z9XKvJDPbrbPJjj9DBSLqHC4ZAwomP6ztuMrEkO3dYJSmIGzBL3dICCpkRnt0UFPtzWFnig9V9NgtS+FAhSyUNuIqmuqCJVlqGfWtuyVbsN2bd1riwtgHA7HqrMc/cO8c4MmRtBbtuNd/UJUoTDj2JXuFd+31v9jgzbYidfYMQbladyeB7kMZuCc9a5ZZAZm3nWmx+3G/7yXoWIJDv3ULdxROsd99903JQNTGR0A3Hn/D7nz/h8C8L7rLuPA68KYaAy9cx8qm7LlnXgSve9GyGft+ZvaUbuvQuXStssrNYr0nbH+O8N9tgNsga3Mc312s12zMQZ58uHSudpQl14Jp56y9zgat/cbUNuvgJF+zMlj9s/bLp/STm+G+jBd9jm9/XJU0xYA/FAYerpsu3gsidqx1/rhzHEt830+s7XdL/XzXuzxHIvHBTAOh+OCsFTfmoW0S8vYIEppdGcVQWl5MrZWMDEGQWl4ZThinw+F7OwhrWwnS2/XomztF7XOYr7SGTSZsnYG7LiBW9/5s9z5jfsQpvL5Hz7LgVddzQ1/dCfHBsYqj9/y+pv47Ct/muD4kannT9SiAKlrJEiN2gBmdAAZH7H3I5uxM5S2XzFr2Wwufcfka6axtSTw9e04Bb9gB3T6Pmqk33YviSD1zTA+hOQy6FwaiSXsNHQRdDwx5b6peAKTz9qZUH7RmiHGawi1XYJfyFv900g/cuppBJmzLLnSIw1WY0SCY3G4AMbhcKxvlmtFX56Mnc3YkQtK2QAGzs97CpXmM2Egl12wrf2KrnPScT71i2/h9ne8Et2+g+fd+rsc6z4LwHtf9WJUffOU4AXg8NfvRbd9BnPuJIf//QGUgvf/xM2Vtu1Ky7ZSEIkhg+es47KA8mrtfajCvPqOcnAognQfx+QySC4N6ZR1cjYGxoftUHPjo0JhtNaIF7ZBj+/bTiqlbIktCKYuYGIUygHM2RME8WQlAAxdspugkAMEFYujGuYpS67wSIMVP55j0bgAxuFwrG+WaUVf6aYJP2tLR8YApWGVfrE0oDIMUto8Y/EF2dqv9DpnO84PD31iynGCrifZf8kWjp3pm/K2O//yryuBiMjUtu1b3nAzB37iBlRtI+KFkFIpR8WTtrW8NO5gsmZjIfoOojGbteo/a8tDxYINaAo5G6CIWPFuetzOfdIekqiFoIjyknYwqIh9nRjE8yjfNZkYJRg4a48H1qwuNTpljIGqa0I1NBO65mXoLdvmLkuu4EiDVTmeY9G4wpzD4VjXlAMQvJDVklQ26YVZ0Ze7afT2K1CedailWIBMygY0kagdIRAEdpJ3+855be1XY50LPY4KhXnki5/FBAEiwq233ornedzy/vfzvje+uuox7/76vYj2uO63/heJn/sol/z2IWp+7TMkbv0zPvr1h1GJuopmQ4yZoe/QO/ai23egd+yd+tq6FttVVMjZSebaA8QGgdqjEo0kau3zxQKMDgJ24rbEknbWViSGisaRrA0GKr414yM2uIxaXx7qmm0r9cQI5vTT4IXwOnbh7bvBevbMNX19hT6f1TqeY/G4DIzD4bigLNYzY6HtvGD1I9WOq7Zsx9vzXGRihCAIYLzkkSLGZl4KBUjUoHftJ7T/hvlt7We5hoW2Hc/ljUI0hrr8GlT/GUxvN/R2o2JJq92JJdEdU4/zmT/8XT7zOx+rDHq8/d3/yQf/10HuvP9HlfW+56XPQ9e3cuyc9YIpm+uBDW7sz2/x3te8lENXv8jeyyr6DsAGJwNnrS/NySesGDoSs/cyM2GDQm3N9PCxQUw2ZQPH8j2PWf8WOfWUvTe79le6kEz3iE3I9HTZEkxdk9UrFWz3mChttTZm7jEG1T6jlWrpX8zvpRPwrh4ugHE4HBeMpXpmzNfOC+Df+9V5PUTwwqimNiswLQlH0RoVS+JddhXhV7xt3rbX+a5hIW3Hk98/3Rul/GeTzcBwP1LMISjr4ZKoqbR5V1sH2oP0GLe/7WYOvO4GO8wxXnrPzn3sv6SdY2d6aaxJMJrOIALvff1N3P31ewmMcPc3v8OhsmajkOcjf3cPd3/7f1CXiDGSygAQ8TSFwNAYj3DusIFiAV3fjBkbsFkWMTajFQpV1qQSNbZspT10fTOqaUulnXz65xScfRY5+6x11lWK/7+9c4+zqyrv/vfZ55y5ZTLXJCSEQACBBIzShApKVQQEWhWpYsVqK6+1pZpWxdq+tt6w1V5eP60ghRa1iBVr9fXWaq2trxCkWm1JvBQTrjIhCZP7ZDKTOXM5Zz/vH886M2fO7DP3yTln5vl+Puezc/bal2ftvU/2b9Z61m9JOgMoms9Zl18cuv9UiVavS7xfk92jOU9pMIPn0odQLywuYBzHOSnM1TOj3HBeDfkbScct9RdBFT3cbS/CugakudVyYBqWQXPbvNWh3LDj0v0neKO0dhL3HjGX3Thvo6M0hiiyId4D/eSf2gVA/qld4+KIu4+YQR9i8yC1r0CzJ9BUiliFKNPAjtveT7x/t3UFlSSeWgvML4zlbNTV88kHHiIf66h4ARjOxwD0ZIdp/PV3095Yx553/jI3f3MHn9j+uO0aCXmFNz33DG79lSuRtWcjh7uRU04jfcUNROlU8qimOCZ/cK+13mQyEMeWP1MQm5l6G4adPQECcfce4u6ucc/NdO5R+rJXzZtz7pynSHBmjQsYx3EWnPnyzCgdij35cQ+M8xeRjlXo7kfGeZFIc6t5iPQcIt6/e9IYZlqH0qGzpfvTvnJCPHqi11ovEGvNqG+AjjXIUNaGGo8MEXc/hR7YTRzHRMtabWZmQLLm+QKYGDr9PDvv0YO2/fK2slMv3Praq/noK55P+pwLR3M2oraV/MYLN/N3D+6gpaGOngFLpi20wBToyQ5Dtp+7dzwxum44tnyQT/yoCzLfIWp5mE/e/wM2nH4aP33DH4xu9+xnP5tdu3Zx00038de330786A4bEr/qdKSxmfjIfhuFlM+Z0MzUWRdWKm3lvYfGXfPp3qP0KadPOvfUTJmtRYAzN1zAOI6z4CyUZ8Zkx53gLzJ4griMF8l0YphrHUr3J9s/Pp6eg+jQyFj3y8ggIEics/mOhrOW/9F3zKZAqG9E1p1jdR3oM1fe0N3CUBay/TbnUZFXTmrDFrS/d1o5G6mNF/Gxm3+bW1/9CPHhbstHqWu08uY2Tnv/J+g5kaW9IQMivGnLs/jEQ2MtMAURc/dDj5sei5Wfdu0Zd00K5n133nknd911F+eduoqde7oRgbamRjt+fYaeoREEaAv/Pv+UDrbf+r7Ra1q45u7NsrRwAeM4zsKzUJ4Zkx03n5/oLxImN5zgRTKdGOZah5L9NZcbF08cRdZtlE6F3Jz0qE+NiEAqA3EeSaXRoSzS3DIWRziWBMv+Qr1KY4taVxBNM2ejkN+Ri/NoXy8qkXVNBR+W/V/4G/R4D7lHHoJcjttuuIZbb7jafGCGBrn5Gw9x944n+I2LNyBtq/jktx5kw7q140TMBevX8cieZ4jjmHw+z8493YBVoZBo3DNkrUpa9O+dB47S+Lqbiy7uWwF4yxvfwEev2cJFf/opdu47SHtzE8cHBsfl8Jx/2mr+5/tXJ98jp6ZwAeM4zsKzUJ4Zkx03lRrvLyJiUwdkT9iUAiVeJFPGMNc6lOxPOj0+nji2JNyCqVwcuk2iyI6fH4GoybbL1NkUAYU4wrF0oB9QpNHqlRRbtOLUaedsRGvWk/qFlxEPHCc+sIdo3TlI0/LRuo9e4yiCdc8iFUWQy6GpFLc9+xJu3fsE0SnrSF34Qm574uHxeSmDYy0/N3/lO3z83n8Y3wKzrIme/gHaG+vpyQ5ZC0xjnXVZleHj936Oj177AnbuOwgwKlqKc3h27t0P9Q1s2rRptAXorW99K3fccUfZ4xazdetW7rrrLjZu3MjDDz+MiNDe3s7Ro0dnfCxnbniWkeM4C85CeWZMdtwJ/iIN5uKqItB7hGIvkmn5yczVj6Z0/9J4UmkTHpn60HoigKJROkw+KYjGyPI2ovaV0NA0FkdjM9LQZMnJuZzl1DQ2l41NoohoxalEa8+a0j8l6jyV1JozkWUt5lIcKL3GDGYtjpZ2EzlDg8iyFqLV69H9eyb1lLnt169leHCQH93zMQb+9j0MfPov6P7HOxj8+qfY+3/eRv97Xkvfe17Lvo+8g8Gvf4qbXnZ5Yqw3/dZvEbWt5PxTVwLQ3txEKopob24a3eaC9WZ4VxAvAHfddVfZ+pdy1113kc/nR/dX1VHxUnysrVu3kk6n2bp1KwCbNm1CROjs7By3fi6UnqOwTsIs3Zs2bZp021pHiicNc2aOiGzfvHnz5u3bt1c6FMepCsp5pEwYHVKSfzHbmXsnO64sbx8/CilW4kMTZ0SebgyTnuuUM0ifeyFRa2diq4bGMflHtpPb8QBxz34bXqyMj6e1g7j36NgopFRoJE+lIV1H1LGKaP35pM7cOH4UUn0T8fGxUUhRSzvS0jmn61t8H+Pew+Qf/zFx926LLZWxrqJMHdLSDnWNaM8BM6praIKhQUtsPeV0UpueT/zoDuLu3ciqtdadl05DwzI020+853GkdQXp570USaXsPPt32/2qb0SPHLCZqEWgbQVRS6fNRi0QrTqD9IteTlTfNPq8xdkBct/9OnrgaWsdKsxenRtG2k8hfcnVpDf+PM957nPn1gKzYQMP//SniAhtLcvp6T1ux3rLW7jjzjtJp9Pk83lSqRS50E1ZTGH9XCg9R/G60fsY3vFJ286UQt1vuummeWtl2rJlCzt27Nihqltmuq8LmDniAsZxxpjKI2Vc+cjQOB+QuXhmTHZcYFyZDhf5rpR4kUwnhqRzEaUQAc3np6y3HjtsQkPEBFamblw8hfhUgRO9Nn9Tuo5o1VpSa8+e9FqOi2MO1zfRYybbT3xkP/HxHjhxHFAk0wCdq+2cgwPWLTSYNW+dZS1Ep52NNLcRP/OU1bmu3oRJPg+54dE6IgKtK0iddjayvB0RiI/32BDz3PBYN5VIGJFkc1dJc6tNbF3ioaMK9PcSZ/vt2sZhKHpdI1FbJ9EZG8hcfNWsn7nC9cnvexI9uM98hUru0e9+6CPjXvaFLquOjg56e3vnRQQkCYqtW7dy5513AjbKqzBR6HyIj/kQQaW4gKkgLmAcx0j03xic2AIwUyfe6TLprMlTOd/OMIbE1onQalBa7wmtJQ1NaHYA4hzSsZr0z72I6NzN4+IpxKeDA2i2H2loRhqbElt1SusMzOn6Jt7H3iMmXEaGx9x042BYF+dAUlBXB4i1JolAc6v57ORz1o2VG4GmZtvmxPExUzowcdHQZAKjYxWsOBUGs2j/UZtwcnkb2nsUPXYIVJHlbdDUgo5rvQoeOuE7Le1wpDt0vwGZBmv5iWNobCL1rAupu3xq48Jy1yfftTPUK1yTklay2bYoVjPV1gLjSbyO48yZuXqkzAeTHTexbA4xFI6ncYw+uoN4/+7EeueDZ4vGiiybWK79x9D9TyMbLppVfOXqPNvrm3QfAeKBfhMvQ1nzrWnptKHdh5+B7BBkUjYdQxRB20pzAB4ZhkxoURrKWoJyXaP9W2TUTZcosuPVN1oL2dAgPLXTWqjWnUvUeQoA+eyJMBEn0LTcDlHqoRNFYx4/A31oHI+ORKNpGbSusC6wE33EXTvJ7TydzBTeQ0nXJ9/9lLVMpVJIYxta34QMDqDDg+jw4GgLzVS+RrXGHXfcUVUJyovnyjqOUzEm89+QjlWQz436bywmpqz34ABxzyEYPFET1yWxPtn+MdFBGKKdqUPyIxQSjYlSoWtoBMnUIY3NJk76e010pFLWfTTQZ59cYSSRWstFfQPS1ExhygAdPGFDxRubxseQTkM6g/b3on3HEFVo7bRWnuwJi6Hw/USftfKkMnb+XA7Jj1hs6Qw6lDU/nBlc+9HrMzhgIknV5qeKIhN0qHn1DJ6oqvu6WPEWGMdx5s5C+bxUO1PVO52xloFlrbVxXZLqU/CrSaWDS7AiGpsxCzo23YFg5Wq+NZpOm4AAaxVpaEKitM1ppDEQA2kTQ+nMmNdNPmdzP0WpMf+eYp8bQAvHLfXQiRrGvudDjkYqbXGGbi8RgUwGHcFE0UyufeH6ZDJmkliIG8Z59ZCusvu6SPEWGMdx5k7B42RwgNK8uoIPic1jM0Ofl2pnqnrnRiBdFxJWa+C6JNWn4FczOnt3aGWIwpQHcUiqVUYnclRVEx3pjO07MozUNyFrz7IWkrrG0NWDvfSLvG60IDjivHURFcWgI8M2XUI6E2a7HhnvoRPnx74XRnDlcyYqQsyqascIbsYzuvaF6zMyYufLjYwfTp8fQcP6qrqvixQXMI7jzJmF8nmpdqasd0NT8GxZVhPXJbE+jc32olcFZFSQaCpMW4CMDflOZUxkZPtHE3lJpYLAUWhfRbS8zV7sBVGB2rEKXjepNNKwbMy/pziGnM1ILc2tlthb6qGTSo99X7bcRE5+xEY9pdNoKmOx5UaQ+kai1etndO1Hr09DUxByYt1FcTzOq4eGZVV1Xxcr3oXkOM6ckSgitfEi4r5j05pnByYfNVQrTFXv1Jozx41Cmo/rUq58vvaLzttMVFQf6hotb0XEWhUA+o/B0QNB1Nh0B9TbJIscN1M3XbYcGRkiqm9EO9fY7NJ7HjPNE4cuqFTKxMWBp63lJbIWF1mz3hp0evaTP7ofaW5DRobQTB2g1n1DZDHnhqG+aXSkkuXKZNCmltBKhLUMDfSPjUhqbEbO2Gij4rq70Gk+f8X3Oz+0E0IuDkcPolFk16eugWjNGcjq00ePPTqqLDuADvYjwXiwlp75avy9uoBxHGdeKMydM515dqbyi6klplPvaOXaebku5cplxRr0cPf87XfmRqLlbeZzcmifDV1ethyilCXL9veY8AATLZk6ZOVaouVt4zxupG3FxPOMDCGtHeO8bmyU06ANdY7z6JH9WMJw3kRInEdWriVz1gXEfb3okW50oM9acjIZG+HVtpJoWSt65Bkb9aU5tGl5yKsZCaIphkyDedSIkn/kIfIzfP4K9zta3kbu8R8T7/tZGA4uNsGmCPQfI//IdvLDQ+O8abS/1wz10nVIia9PNVOtv1cXMI7jzBvRmvVTzrOT6DNydID40D7ivmM16Z8xVb3n47ok+skcHSC/53EYGUEyGRMS09wv3vO45XJkMjZyqGi/qO8Y0foNcHCvdcdEKVjebmKm71gwk0uZgMjnrDsl20/0nEtJXXAxiCLDw5O29BRaJfJ7nyD3wweJew/D8KB56Az020VZ1oLUNwSRVI+ccT6yexfac8ByatpWmDCJ85YcnKmz8w0OWO7RwHGro2AzaTe1oCOD6MBxck/8BGnpIGrtnPHzF61Zj2qMHNgL2T67/o3L0IE+4qMHiHsOEbW0Q12DmfGVOCtraKmKjx6o+me+mn+vLmAcx5lXJvNjmalfTC0xlb/NnK5Ldxd6YDdxHBMtax0tj+MY3fUQevQAdKwiOnuTzbQ9jf3iXf+NHj2IdJyClOw3zr+mY7UN+VYlt+9JS1CNIljehrSvtByV3iPQe4T48R+SfuG1ROmJr5ak+mvHavjJ92A4S9SxGvqOWgJxa4d1MeWGzfOltdP++v+vf7OY2laVXKMDxE8/ZudZdy7RunMAiLt2ocd7bH3bClLrN5Lv2mXdPmDzOJ1yug0Gn8Hzp3FM/MgO9PhhUp2njvnldO0ywz9A0/WIMtaNlc+bwV7nGmQ4a/44w0Pku58iqtJnvtp/r9V1tRzHWdQsVb+YqZjaT+ZE8JMZGF8+eCKYwsWoRPZ9mvtpGPKMSMJ+E/1rtOdg8D/BRgXlc5AbNg+U1k7QmLjnEPFTD0+s4HTq3RgcjFUtR6Sp2eIbylrS7CSeOjQ0mYlciXeMDg6EEUtpGMpaHYr9ZAYHINs/4+evnF/OuPOd6LU5mPJhNBZq1zrOQcMy85ARsXpV6TNf7b9XFzCO45w8lqpfzFRMcV1IZ2wociYzvjwXhgin65A4H2axnt5+EudtHqaE/SSdsdaPdN3YfsNDY90gUWpsOgEwEROGi9N/fHb1zudHX/aF2ZQl+MJIPp8cUyHmfN7EQBnvGEnX2bGHh8bWZTJBhOXG6j3d528Sv5zR8+VGQmtVGAoepSzpueBFk05bbk86U73PfJX/Xl3AOI5z8liqfjFTMcV1MV+ROnRkZHx5OoiJ3LD5jxR13Uy1n0Ypmx4gYb9E/5q6+jHH3SJfFcCGEQdxQXPL7OqdSpk4Ct4qBV8VUmk0lZrcUydVEAdlvGNyw3bsuvrxfjKp9GjdZ/T8TeKXM3q+gldNYb6nuCCyinxyolCvan3mq/z36gLGcZyTxlL1i5mKqf1klgU/mabx5Q3L7MUtEaKxfZ/mfhJM51BN2G+if420rwr+J9jLN0xeGMex5cBIRNS+kujMZ8+u3tkBpKHJ5jXK9qMD/RZffaN1XU3iqcPggOWzlHjHSENTaAnJ2Qih9lXj/WQamqCxecbPXzm/nHHnW9aKNLeNijKw+Z80SsPgCfOQUbV6VekzX+2/V0/idRznpDEbv5ilwJTXZc368n4ydfVI5xqzt3/6UeJp7ichoZSE/cr510h9o3mx5HOQ7bORP7lhE1Cda0hfck1iAu+06z08GMzpzEuG4CWjA31Te+qceb7NGNDfQ7y7x8qC3T9xHvp7ifc8Zl0e6QzEOeK+Y7D7URtRlM5M+/kre7+GB83vBkFyQ5a0W5iAMhVarw7usVFI6Tqoq7d6zeKZLzcTef7gPuKn/gcZHoE160id9ZwZ3ZNp1bNKfq9S2izkzAwR2b558+bN27dvr3QojlMzjPOVGBmCTHX4SlSaqa5LufJSn5WF3E+z/eiR/eYHE7qNovaVpC+5hvRzLp1zvfXYYbSvx5J5WzpGvWSmqktq40UA48p0eAjtOYgOZaEwnDqVDt4y8eh8SdK0nOiMDWQuvmpGz19SLEQpy6vO50djmOADE3xzZusDk+TLIqmUiZd9T0J2wHKU6hqIVq0lc9mrZn1vytVzvn6vW7ZsYceOHTtUdctM9/UWGMdxTjrT8UVZiszFT2Yyp9T53k/j2EYb9R+H5haiM58967/yk86jdXWggowMzdhTp1AW73uS3M7taF1D8LKJiHuP2AzZUcrE0fI2e9lHUZhte37uF5DoeTMfTryJvizdR4gPPWOOyXE8Nk/VUJZ4oI+hr38aYNYiplp/ry5gHMepCFP5pixVZusnczL3kygiOufCsvvMhpk8D5NtK1EEHavRn3wPPX541P8GgK5dxP3H7SVfV090+nlAwQNm96w8Tcpe19J18/CsJ/myAMQn+iDbH+Z8ysCyFhNkuWETHEeeYeQ//5Xo/Ivn1J1Ubb/Xpf3njuM4jrPomJZPy1B2Vh4wlaRsvXqPjOXaRGHiTBHLswnDtePD3TPy6KkFvAXGcRzHWVxM4dOC6uw9YCpJuXrlRsIQ7bCukNsavHGQyOo2E4+eGsBbYBzHcZzFxXR8WmbrAVNJytUrnQk+OEXCBUa9cWwSy/qZefTUAC5gHMdxnEXFtHxa6htn5QFTScrWq7VzbM6lOA7TS6jlwATDvGjFmhl59NQC3oXkOI6zwEw20seZPeWu67R8WkaG0P1Pz8rTpFL3s1y9JDeMNjbbKKR8DvqPYcZ5sbU0dawhfcHFcOBp4kX0/LmAcRzHWUCSPDvc82buTHVdozXryTzvynH+Jan2lRN8WqR95YzuR6XvZ1K9pH0lqbMuGPOBGQw+MJkGpLWT6NT1xAf3Eu99clE9fy5gHMdxFohEz46jA8SH9hH3HSPzvCtr/iVSCaZ7Xafr0zLdFolquZ/l6pVhvBNvXJdBD+xFDzyN9h5ZdM+fCxjHcZwFIMmzQ0RGcy7i/V2z8h1Z6sz0uk7bp2Wez7vQlKtXevU6WL0OjWNy275M7sDTVRHvQlCbUTuO41Q5iZ4dUFO+I9VIpa5rrd3PWot3NriAcRzHWQiSPDsCNeM7Uo1U6rrW2v2stXhngQsYx3GchSDJsyNQM74j1Uilrmut3c9ai3cW1JyAEZHrReR2EXlQRI6LiIrIvVPs8wIR+YaIHBWRARH5iYi8Q0RSJytux3GWFomeHVBTviPVSKWua63dz1qLdzbUYhLve4HnAv3AXmDDZBuLyCuBLwGDwOeBo8ArgI8ClwKvWchgHcdZmpT1IpmF74gzxth17SF++lH00D5obDIX2vTCXVeJIqLzNiMHw6ieI92wvM3mVKrC+7kUnr9aFDA3Y8LlCeDFwP3lNhSRFuATQB64TFUfCuvfB9wHXC8iN6jqPy541I7jLDnKeXYsFh+OiqIKcWwTNA4NII3NpE47i/QCDQ2Ou7uIH91heSO5nE1HkM8TrVpLau3ZVXk/F/vzV3MCRlVHBUtpYlIC1wMrgb8viJdwjEEReS/wbeAtgAsYx3EWhHKeHbX8l28lGfViOfA0ms4g7SvQ7Ak0lSLWKd8Jcztn8H+hrRP6joEA6XqiDZurVgws5uev5gTMDLk8LL+ZUPYdYAB4gYjUq+rQyQvLcZylRDnPDmdmlHqxRCXeJnpg97x7m5T1f1kdznn8MPEjO4hWr69aUbBYn7/FLmDOC8vHSgtUNSciTwEXAGcBuyY7kIhsL1M0aQ6O4ziOMz9M5m1Cxyq07+iot8l8vbArcU5nelSnXJw/WsOyt0x5YX3bwofiOI7jzIlKeJssAT+VWmWxt8BMReFp1Em3AlR1S+IBrGVm83wG5TiO4yRQ8DY5at4mxYKi4G0i7Svn19ukEud0psVib4EptLC0lilvKdnOcRzHqVIq4W2yFPxUapXF3gLzKHARcC4wLodFRNLAmUAO+NnJD81xHMeZCZXwNpmPc2ocL8pRQJVmsQuY+4DXA9cAnyspexHQBHzHRyA5juPUBpXwNpnLOePurrH9hoegrn7R+LBUmsUuYL4I/AVwg4jcXmRk1wB8KGzzN5UKznEcx5k5lfA2mc05S/1jpKEJPTpAfGgfcd8xMgtkurdUqDkBIyLXAdeFr4VOx+eLyD3h34dV9V0AqnpcRH4TEzLbROQfsakErsWGWH8Rm17AcRzHqSEq4W0yk3OW9Y8JuTPx/q5596xZatScgAEuBN5Ysu6s8AHYDbyrUKCqXxWRFwPvAV4NNGDTELwT+JiWTtPpOI7jOHPE/WMWnpoTMKp6C3DLDPf5LvBLCxGP4ziO40zA/WMWHG+3chzHcZz5puAfMzhAaUN/wT+GTL37x8wBFzCO4ziOM8+4f8zCU3NdSI7jOI5T7VTCs2ap4QLGcRzHcRaASnjWLCVcwDiO4zjOAlEJz5qlggsYx3Ecx1lAKuFZsxRwCeg4juM4Ts3hAsZxHMdxnJrDBYzjOI7jODWHCxjHcRzHcWoOFzCO4ziO49QcLmAcx3Ecx6k5XMA4juM4jlNzSOkkU87MEJEjjY2NHRs3bqx0KI7jOI5TU+zatYtsNntUVTtnuq8LmDkiIk8BLUBXhUNZDGwIy0cqGoVTit+X6sTvS/Xh92TmrAeOq+qZM93RBYxTNYjIdgBV3VLpWJwx/L5UJ35fqg+/JycXz4FxHMdxHKfmcAHjOI7jOE7N4QLGcRzHcZyawwWM4ziO4zg1hwsYx3Ecx3FqDh+F5DiO4zhOzeEtMI7jOI7j1BwuYBzHcRzHqTlcwDiO4ziOU3O4gHEcx3Ecp+ZwAeM4juM4Ts3hAsZxHMdxnJrDBYzjOI7jODWHCxinKhGRjIi8XUQ+JSI/EpFhEVEReXOlY1sqiMhpInK3iDwjIkMi0iUit4pIe6VjW4qIyPUicruIPCgix8Pv4d5Kx7XUEZFOEXmziHxFRJ4QkayI9IrIf4jIb4iIv2cXiHSlA3CcMiwDbg3/PgDsB9ZVLJolhoicDXwPWAX8E/AI8Dzg7cA1InKpqh6pYIhLkfcCzwX6gb3AhsqG4wReA/wN0A3cDzwNnAK8Cvgk8Isi8hp119h5x5WhU60MAL8EnKqqq4G7KxzPUuNOTLy8TVWvU9V3q+rlwEeB84APVzS6pcnNwLlAC/CWCsfijPEYcC1wmqq+XlX/UFXfhAnMPcCrMTHjzDMuYJyqRFWHVfVfVbW70rEsNUTkLOAqoAu4o6T4A8AJ4NdEZNlJDm1Jo6r3q+rj/pd8daGq96nq11Q1Llm/H/jb8PWykx7YEsAFjOM4pVwelv+e8J9yH/BdoAm45GQH5jg1xkhY5ioaxSLFBYzjOKWcF5aPlSl/PCzPPQmxOE5NIiJp4NfD129WMpbFigsYx3FKaQ3L3jLlhfVtCx+K49Qsfw48G/iGqv5bpYNZjLiAcRaMMOxWZ/DxIaG1gYSl52I4TgIi8jbg97DRe79W4XAWLT6M2llIngQGZ7D9MwsViDMjCi0srWXKW0q2cxwnICJbgduAncAVqnq0wiEtWlzAOAuGql5R6RicWfFoWJbLcTknLMvlyDjOkkRE3oFZDTyMiZeDlY1oceNdSI7jlHJ/WF5V6iIqIsuBS4Es8P2THZjjVCsi8r8x8fIj4CUuXhYeFzCO44xDVZ8E/h1YD2wtKf4g5pL896p64iSH5jhViYi8D0va3Y61vByucEhLAnFPJKdaEZF3M2aXfiFmo/49xobx/oeqfrICoS16EqYS2AVcDLwE6zp6gU8lcHIRkeuA68LX1cDVwM+AB8O6w6r6rpMf2dJGRN4I3APkgdtJzg3rUtV7TmJYSwIXME7VIiLbgBdPssmnVfXGkxPN0kNE1gF/DFwDdGJzvXwV+KAnJp58ROQWzAm5HLtVdf3JicYpMI37AvCAql628NEsLVzAOI7jOI5Tc3gOjOM4juM4NYcLGMdxHMdxag4XMI7jOI7j1BwuYBzHcRzHqTlcwDiO4ziOU3O4gHEcx3Ecp+ZwAeM4juM4Ts3hAsZxHMdxnJrDBYzjOI7jODWHCxjHcRzHcWoOFzCO4ziO49QcLmAcx3Ecx6k5XMA4jjNjRORNIqIi8rxKx7LQhHpuq3AMXSLSVbLuxhDbjZWJajwisk1EtGTdq0OMV1QqLmfx4gLGceYZEdkS/tP+fpnyXw3lKiJnJpQ3isigiAyISH1C+UtE5NMi8piI9InIsIjsF5Fvi8i7ReS0sN0tReeZzqdrmvVrBj4EfE1V/yuh/DUi8k0ROSgiIyJyRER2isi9IvLGkm0vC+e+ZTrndmqOLwM7gL8SEX/fOPNKutIBOM4i5IdAD3CRiLSo6vGS8ssBBST8++9Kyi8F6oFvqepQYaWItACfBq4DRoDvAN8ATgArgecBfwZ8UEQuAbYlxHYh8Ergx8BXS8qOTbN+bwPWAH9eWiAiHwd+E8gC/wI8BSwDzgJeAVwW6uDMna8A3we6Kx1IOVRVReQvgM8DNwD/UOGQnEWECxjHmWdUNQ5dDr8MvBj4Wskml2Pi4jkkC5jLw/LbhRUikgK+BFwJPAD8mqruKT23iJwP/DHQoqrbKBExobvhlcCPVPWWGVatEMdvA4+r6vdKyi7FxMte4PmqurekPIMJGGceUNVeoLfScUyDf8LE8VtxAePMI96k5zgLQ0F8XF68UkTWA2eG8geAlyTsO0HAAG/AxMvjwMuSxAuAqu5U1euB78468sl5KbAO+4u6lEvD8kul4iXENqKq3yp8F5F7gPvD1w+UdGddFrZpFZHfF5H7RGRv6C47JCL/HFqZJlDIWRGRFSLycRHpFpEhEfmpiPyvMvvUicj7ROTJsO1TIvKhpC68sP2pIvJ+Eflu6L4bFpFnROQfRGRjwvbrQ1z3iMi5IvL50MUWF9VVROR3QpyDIrJPRP5aRFrLxDAhByYcf0bdhCLyOhG5X0R6wnl3ich7J6n7DSKyXUSyoQ6fEZFTk7YFCK2IXwUuFZEN5bZznJniLTCOszDcF5alyYtXFJX3Aq8SkfNVdSeMdhNdhP3FuqNovzeH5UdU9cRUJ1fV3Czjnoorw/I/EsqOhOW50zzWV8PyjZiY21ZU1hWWG4EPY91l/4J1zZ0OXAv8ooi8QlW/mXDsNkzEDQNfBBqA64G7RSRW1dFuLBER4AtYy9STwF8DdcCbgE1lYn8R8G5MgH0J6AfOCee4VkQuVdUfJ+x3NvAD4DHgs0AjUOhivBXrnusGPo51E74SuDjEM1wmlmK+yti1K2YT8CpgoHiliPwdVs+9WL7KMeAS4E+AK0TkpcXPkojcDPxV2O7vw/Jq4HtM3hr0XeBG7Pl5ZBr1cJypUVX/+Mc/C/AB9gExsLJo3WeBPuyPhwuwXJjfKSp/RVj35aJ1aezlpcDZc4zpxnCce2a5//fD/p0JZWuxF5oC/wz8KvZSl0mOd1nY/pYy5a3AioT1pwHPALsSyjR8PgmkitafD+SAnSXb/2rY/j+BhqL1HZigUWBbyT6rgOUJ534uJmb+tWT9+qK4/jRhvxeEsieAjqL1DSEuBbrK3Msbp7hnp2ECJQtckrD/l4HGkn1uCWVvL6nDEHAUWF+0PsJEnNorJTGG54byLyzU780/S+/jXUiOs3DcjyXqFncTvQR4UFVzqvpT4CDju5mSuo86gEz4977Sk4SRPLeUfK6br0qUcDowoqpHSgtUdR+W9/MkJsQ+i7U09IZRSW8IOTTTRlV7VfVwwvq9WMvKBhE5PWHXAeCdqpov2mcn1hKwUUSWF21b6Fb6I1UdLNr+KNYSkRTXQVXtS1j/Y6x17SUh56eUA8AHE9YXYvhwOG/heIPAHybFMB1CPb8OnIrlTRWPjHs7JujepKrZkl3/BGtRe33RutdjLUG3q2pXUYwx8PuYWC/H/rBMuleOMyu8C8lxFo5vY//pXw58IeRGrAE+WrTNNuClIhKFF0FBwPy/om1kivNcBnygZN2nmTjKaD7oxLpxElHV+0XkXCwf5sXAz4V/Xx0+bxSRl2vR6KqpCMnBbweej7V81JVsshZ4umTd4zpx9BdAIXeoDWsJA9iMvXyTusW2TRLXy7CE5ouAFUz8/3QFE0cI/bhM3TeH5QMJZQ9iQmNGBLH4Baz14w9U9YtFZU1h/WHgHdaLNoEhrAtvyhhV9Wcisgc4o0w4BVG2YiZ1cJzJcAHjOAtHoRXlipLlfUXbbAN+Bfg5EdmN5SrsU9VHi7Y5guVDZLC/pH9WfBK10US3AIjIlcC3WDiyWLdGWYIQezB8CjkmL8VE1ZXAW7B8jykRkV/GWloGsXo9iQ0bjzHh9mJsyHkpx8ocsiAEiluCWoGjqjqSsP3+hHWIyNuA2zAx9y1MQA1g3STXYeIgKa7E44UYwFpoxqGqeRGZ0OI1De4ArgHuUtWPlJS1Y8J4JRPFbznKxhjYT3kB0xiWpS09jjNrXMA4zgKhqk+LyJPAs0RkHda6cgzziSlQGIVzObAbe6l8u+Q4ORH5AfALmAgaJ2BOMgeBc0QkU+aFPwFVVeDfReS9WF7K5UxTwGBdGcPARaq6q7hARO7CBMxc6QU6ytRpdenGIpLGuoH2A5tVtbuk/PmTnEvLrC8kwJ5Cyf0NLSmdJHQflkNE/gC4CfgmsHWS8/1QVTcnlE8V408TyidcqyI6w/LgNM/lOFPiOTCOs7AUxMiV2Mv2gdBCAYCqPoJ1M1xOcv5LgU+G5e+F5v9K8ZOwPG8W+xa6bIr7Kwo5KuVyY56FJd2WipcIE3TzwQ7s/8Kk412WsG4F1gX1vQTx0sxYV8tMY4BkQfZCZvDHpohcj5kM/hj4leI8oAKq2o+JkAtEpGOuMYrIWdjw+nIUhk//aJrncpwpcQHjOAtLobvoZiwZ9/6EbbZhL6mrwvckAXNvWH8e8DUJ0wUk0DbbQKfJtrCc4MEiIteIyKuSklfDi/0d4et3iooKXSPlkju7sBafUZ+R0CX1AWxU0XzwqbD8sIiMdo+FF/t7E7Y/iHUXbQn1KmyfwbqVZpPncU9YvqdYUIR4/my6BxHzxvkMNkLr5UmJxkX8FZZPdLeItCUcq11EisXYZ7GuzN8V8zMqbBcBH2Hy90nheUl6/h1nVngXkuMsLPdh3Qabir6Xcj/wOszg7tEwmmccIQ/iVZj3xiuBn4nIA8DD2Mt0JTYs+wVYl8sP5rkeBb6Kdf9czVirUIENWIJyj4g8iJnu5bBhvC/DxNUPMJ+VAo9iXSM3iMgwlkuiwGdUdXc43t8CPxSRL2Ev0Esx8fI1bLTTXPkc8FrMW+ZhEfknLN/oeuC/Me+WUdSclj+G+cD8T9i+DhthVhCpSQaFZVHV74rI7cDvhhi+yJgPTA/Tny7gbixH6QfAmxOSc4+p6q3hnHeLyBbMIfdJEfk37Pp3YM/iizBx99th+y4ReTfwl9j9+DzWrXQ1dm9/grlLJ3EV1n2a9Pw7zuyo9Dhu//hnsX+wpnwFDpHgiYJ1kxQ8Qu6YxvGuwITME1hC6zCWWHkf8EfAaZPseyNz8IEJx/gKllTbXrJ+BWaK9jlgJ/biHQn1vh97UdYlHO/nsdalXiw5V4HLSmL+Uajr4XD+TYx5lVxWcrwJvi1FZfeE8vUl6+uA92P5J0NYy8+HsUTcJB+YNPDOUM8slg/zGSyJdcI5GPOBKXvdsa613wF2hRiewRJxW0M8XWXu5Y1F67qKnqWkT1fCeV+ODbU+GJ6l/cB/YRN2bkjY/nVYd9JguLf3Ysnl20jwgcGMDRW4tdK/Rf8sro+olsspcxzHmYiIvADzU3mnqn50qu2dpY2I/CUmzDaqaiUT0J1FhgsYx3FmjIh8AetiOEtVB6ba3lmaiMgabOj7nar6rkrH4ywuXMA4jjNjgvvtm4D/q+Yo7DgTCEPKrwJuU9VjFQ7HWWS4gHEcx3Ecp+bwYdSO4ziO49QcLmAcx3Ecx6k5XMA4juM4jlNzuIBxHMdxHKfmcAHjOI7jOE7N4QLGcRzHcZyawwWM4ziO4zg1hwsYx3Ecx3FqDhcwjuM4juPUHC5gHMdxHMepOVzAOI7jOI5Tc7iAcRzHcRyn5nAB4ziO4zhOzfH/AXeke88oWmzxAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 207,
       "width": 280
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = nn.Sequential(\n",
    "    nn.Linear(1, 1), # each instance has 1 value, spit out 1 values\n",
    "    nn.Sigmoid(),    # doesn't converge as fast; bump learning rate\n",
    "    nn.Linear(1, 1)\n",
    ")\n",
    "\n",
    "train(model, learning_rate=0.1, nepochs=1000)\n",
    "\n",
    "mshow(model, X=X, y=df_cars.MPG, file='linSlin')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's a really nice curve that fits the data very well."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Exercise\n",
    "\n",
    "Change the learning rate from 0.1 to 2 and retrain the model multiple times. What do you observe?\n",
    "<details>\n",
    "<summary>Solution</summary>\n",
    "   Sometimes we get a completely flat line at about y mean. Training is probably bouncing the model parameters back and forth across the valley walls and not able to descend into a minimum.\n",
    "</details>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Exercise\n",
    "\n",
    "Change the learning rate to 0.01 and retrain the model multiple times. What do you observe?\n",
    "\n",
    "<details>\n",
    "<summary>Solution</summary>\n",
    "   The learning rate is too small and we do not converge fast enough for the thousand iterations to reach a minimum.\n",
    "</details>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Overfitting with a two-layer pytorch network"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch    0 MSE loss      614.225 MAE    23.51\n",
      "Epoch  100 MSE loss       17.221 MAE     3.04\n",
      "Epoch  200 MSE loss       17.148 MAE     3.04\n",
      "Epoch  300 MSE loss       17.053 MAE     3.04\n",
      "Epoch  400 MSE loss       16.956 MAE     3.03\n",
      "Epoch  500 MSE loss       16.844 MAE     3.03\n",
      "Epoch  600 MSE loss       16.736 MAE     3.02\n",
      "Epoch  700 MSE loss       16.681 MAE     3.01\n",
      "Epoch  800 MSE loss       16.635 MAE     3.01\n",
      "Epoch  900 MSE loss       16.631 MAE     2.99\n",
      "Epoch 1000 MSE loss       16.569 MAE     3.01\n",
      "LAST       MSE loss       16.569 MAE     3.01\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 207,
       "width": 280
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = nn.Sequential(\n",
    "    nn.Linear(1, 1000), # each instance has 1 value, spit out 1000 values\n",
    "    nn.ReLU(),          # fast to compute, not smooth y_pred\n",
    "    nn.Linear(1000, 1)\n",
    ")\n",
    "\n",
    "train(model, learning_rate=.1, nepochs=1000)\n",
    "\n",
    "mshow(model, X=X, y=df_cars.MPG, file=\"lin1kRlin\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Exercise\n",
    "\n",
    "Change the nonlinearity from a rectified linear unit to a sigmoid, keeping the 1000-neuron layer. Does this overfit like the ReLU?\n",
    "\n",
    "<details>\n",
    "<summary>Solution</summary>\n",
    "\n",
    "<pre>\n",
    "model = nn.Sequential(\n",
    "    nn.Linear(1, 1000), # each instance has 1 value, spit out 1000 values\n",
    "    nn.Sigmoid(),          # add nonlinearity\n",
    "    nn.Linear(1000, 1)\n",
    ")\n",
    "\n",
    "train(model, learning_rate=.1, nepochs=1000)\n",
    "\n",
    "mshow(model, X=X, y=df_cars.MPG)\n",
    "</pre>\n",
    "    \n",
    "<br><br>\n",
    "    This model does not seem to overfit. This highlights the fact that different architectures with the exact same number of iterations and learning rate can give you very different models. Using the sigmoid is slower but seems to resist kinks in the curve that chase noise.\n",
    "\n",
    "</details>\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.8.6"
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 },
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}