{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Machine Learning and Statistics for Physicists" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Material for a [UC Irvine](https://uci.edu/) course offered by the [Department of Physics and Astronomy](https://www.physics.uci.edu/).\n", "\n", "Content is maintained on [github](github.com/dkirkby/MachineLearningStatistics) and distributed under a [BSD3 license](https://opensource.org/licenses/BSD-3-Clause).\n", "\n", "##### ► [View table of contents](Contents.ipynb)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns; sns.set()\n", "import numpy as np\n", "import pandas as pd" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import torch.nn\n", "import torch.optim\n", "import torch.utils.data" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import mls.torch" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Design Patterns for Supervised Deep Learning" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The modern \"deep learning\" era started around 2012 (with [this paper](https://papers.nips.cc/paper/4824-imagenet-classification-with-deep-convolutional-neural-networks.pdf)) when the architectures described below were first used successfully in the annual [ImageNet](https://en.wikipedia.org/wiki/ImageNet) competition, and the necessary large-scale computing and datasets were available. Massive neural networks are now the state of the art for many benchmark problems, including image classification, speech recognition and language translation." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def imagenet_history():\n", " # Adapted from https://gist.github.com/germank/a542f22be0dad004b18775a7976d1a0b\n", " # reporting the best results per-team (and top 10)\n", " data = {\n", " '2011': [0.25770, 0.31010, 0.35960, 0.50450],\n", " '2012': [0.15315, 0.26172, 0.26979, 0.27058, 0.29576, 0.33419, 0.34464],\n", " '2013': [0.11197, 0.12953, 0.13511, 0.13555, 0.13748, 0.13985, 0.14182, 0.14291, 0.15193, 0.15245],\n", " '2014': [0.06656, 0.07325, 0.0806, 0.08111, 0.09508, 0.09794, 0.10222, 0.11229, 0.11326, 0.12376],\n", " '2015': [0.03567, 0.03581, 0.04581, 0.04873, 0.05034, 0.05477, 0.05858, 0.06314, 0.06482, 0.06828],\n", " '2016': [0.02991, 0.03031, 0.03042, 0.03171, 0.03256, 0.03291, 0.03297, 0.03351, 0.03352, 0.03416]\n", " }\n", " x, y = zip(*[(year, 100 * score) for year in data for score in data[year]]) \n", " plt.figure(figsize=(12,6))\n", " plt.scatter(x, y, marker='o', facecolors='none', edgecolors='C0',lw=2, s=80, label='Best Algorithms (top 10)')\n", " plt.axhline(5.1, ls='--', label='Human Performance (top 5)')\n", " plt.scatter('2012', 100 * min(data['2012']), marker='*', c='r', s=350, label='Krizhevsky 2012')\n", " plt.xlabel('Imagenet Competition Year')\n", " plt.ylabel('Error Rate [%]')\n", " plt.ylim(-1, 55)\n", " plt.legend(fontsize=14)\n", " \n", "imagenet_history()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Deep neural networks are \"deep\" in the sense of having many layers (hundreds). They are also \"shallow\" in their use of domain-specific knowledge, preferring brute force (machine-intensive) learning from unprocessed input data over (human-intensive) feature engineering.\n", "\n", "In this notebook, we will focus on the key architectural \"design patterns\" that have enabled recent advances in the benchmark supervised learning problems:\n", " - convolutional layers.\n", " - skip connections.\n", " - feedback connections.\n", " \n", "These are low-level building blocks, rather than complete end-to-end solutions to any problem, which are important to understand if you want to adapt existing solutions to your problem or design new architectures from scratch.\n", "\n", "Progress on benchmark problems like ImageNet is generally not smooth because the space of possible \"hyperdecisions\" is too large to explore systematically. Instead, successful new ideas are discovered effectively by chance, followed by a period of small perturbations around the new approach. Since a large number of PhD students are engaged in trying to discover the next big idea, this hyper-optimization process is sometimes referred to as \"grad student descent\".\n", "\n", "Finally, we mention \"transfer learning\" where the goal is to adapt an existing end-to-end solution to solve a closely related problem." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Test Problem" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We start by defining a test problem: learn how to \"de-noise\" samples from a smooth 1D function $y = f(x)$. Each input tensor consists of $N=128$ values of\n", "$$\n", "X_\\text{in} = \\left[ f(x_i) + \\epsilon_i \\right]_{i=1}^N\n", "$$\n", "with $x_i$ on a uniform grid, where $\\epsilon_i$ is drawn from a normal distribution (with a different variance for each function $f$. The corresponding target values are the noise-free function values:\n", "$$\n", "Y_\\text{tgt} = \\left[ f(x_i)\\right]_{i=1}^N \\; .\n", "$$\n", "The functions $f(x)$ are sampled from a Gaussian process prior:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def gpsample(x, ngen, gen, sig0=0.5, lam=0.5):\n", " \"\"\"Draw samples from a Gaussian process function prior.\n", " \"\"\"\n", " # Tabulate K for each pair of elements in x.\n", " xT = x.reshape(-1, 1)\n", " K = sig0 ** 2 * np.exp(-0.5 * ((xT - x) / lam) ** 2)\n", " # Generate random samples of f(x).\n", " mu = np.zeros_like(x)\n", " return gen.multivariate_normal(mu, K, size=ngen)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sample the noise for each input from a normal distribution with a different (random) variance:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "N_train, N_test, D = 1000, 100, 128\n", "x_sample = np.linspace(-1, 1, D)\n", "gen = np.random.RandomState(seed=123)\n", "y_train = torch.tensor(gpsample(x_sample, ngen=N_train, gen=gen).astype(np.float32))\n", "y_test = torch.tensor(gpsample(x_sample, ngen=N_test, gen=gen).astype(np.float32))\n", "# Generate randome noise levels.\n", "torch.manual_seed(123)\n", "noise_rms = 0.02 + 0.08 * torch.rand(N_train)\n", "x_train = y_train + noise_rms.reshape(-1, 1) * torch.randn((N_train, D))\n", "noise_rms = 0.02 + 0.08 * torch.rand(N_test)\n", "x_test = y_test + noise_rms.reshape(-1, 1) * torch.randn((N_test, D))\n", "# Package into datasets.\n", "train_data = torch.utils.data.TensorDataset(x_train, y_train)\n", "test_data = torch.utils.data.TensorDataset(x_test, y_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define a plot utility that we wil re-use below to assess the quality of predictions $Y_\\text{pred}$ from different methods applied to the test data:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def plot_test(y_pred=None, n_test=3):\n", " plt.figure(figsize=(10, 5))\n", " for i in range(n_test):\n", " x, y = test_data[i]\n", " P = plt.plot(x_sample, x.numpy(), '.', label='INPUT' if i == 0 else None)\n", " c = P[-1].get_color()\n", " if y_pred is not None:\n", " plt.plot(x_sample, y_pred[i].detach().numpy(), '-',c='k', label='PRED' if i == 0 else None)\n", " plt.plot(x_sample, y.numpy(), '--', c=c, label='TARGET' if i == 0 else None)\n", " plt.legend(ncol=3)\n", " \n", "plot_test()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note how the Gaussian process hyperparameters we are using make this a relatively easy task, since the noise adds mostly high frequencies while the prior only contributes low frequencies (long wavelengths)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fully Connected Baseline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before diving into new design patterns, let's establish a baseline using a plain fully connected network with 128 inputs and 128 outputs.\n", "\n", "In order conveniently build networks with different architectures, define a class that fills a [Sequential container](https://pytorch.org/docs/stable/nn.html#sequential) via constructor code:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "class FCN(torch.nn.Sequential):\n", " \n", " def __init__(self, *n_nodes, activation=torch.nn.ReLU):\n", " super(FCN, self).__init__()\n", " n_inputs = n_nodes[:-1]\n", " n_outputs = n_nodes[1:]\n", " for depth, (n_inp, n_out) in enumerate(zip(n_inputs, n_outputs)):\n", " self.add_module(f'LYR{depth}', torch.nn.Linear(n_inp, n_out))\n", " if depth < len(n_inputs) - 1:\n", " self.add_module(f'ACT{depth}', activation())" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "FCN(\n", " (LYR0): Linear(in_features=1, out_features=2, bias=True)\n", " (ACT0): ReLU()\n", " (LYR1): Linear(in_features=2, out_features=3, bias=True)\n", " (ACT1): ReLU()\n", " (LYR2): Linear(in_features=3, out_features=4, bias=True)\n", ")" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "FCN(1, 2, 3, 4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use the MSE (L2) loss throughout:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "loss_fn = torch.nn.MSELoss()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Build a generic learning loop that we will re-use for all the models below. Note that we are using the [Adam optimizer](https://pytorch.org/docs/stable/optim.html#torch.optim.Adam) this time (since it generally requires less hyperparameter tuning than SGD):" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "def learn(model, n_epochs=100, batch_size=100, learning_rate=0.05,\n", " loss_slice=slice(None, None), n_print=1):\n", " print(f'Model has {np.sum([np.prod(P.shape) for P in model.parameters()])} parameters.')\n", " loader = torch.utils.data.DataLoader(train_data, batch_size=batch_size, shuffle=True)\n", " print(f'Data has {np.prod(loader.dataset.tensors[0].shape)} values.')\n", " optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate)\n", " x_test, y_test = test_data.tensors\n", " train_loss, test_loss = [], []\n", " print_at = np.round((1 + np.arange(n_print)) / n_print * n_epochs).astype(int)\n", " for epoch in range(n_epochs):\n", " model.train()\n", " for x_train, y_train in loader:\n", " y_pred = model(x_train)\n", " loss = loss_fn(y_pred[:,loss_slice], y_train[:,loss_slice])\n", " optimizer.zero_grad()\n", " loss.backward()\n", " optimizer.step()\n", " train_loss.append(float(loss.data))\n", " model.eval()\n", " y_pred = model(x_test)\n", " test_loss.append(float(loss_fn(y_pred[:,loss_slice], y_test[:,loss_slice]).data))\n", " if epoch + 1 == print_at[0]:\n", " print(f'EPOCH {epoch + 1:5d}: TRAIN {train_loss[-1]:.5f} TEST {test_loss[-1]:.5f}')\n", " print_at = print_at[1:]\n", " plt.figure(figsize=(10, 5))\n", " plt.plot(train_loss, '.', label='TRAIN')\n", " plt.plot(test_loss, '.', label='TEST')\n", " plt.xlabel('Number of Epochs')\n", " plt.ylabel('MSE Loss')\n", " plt.yscale('log')\n", " plt.legend()\n", " return train_loss, test_loss, y_pred.detach()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Learn a model with a single hidden layer with 128 nodes, and plot some final predictions for the TEST data:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model has 33024 parameters.\n", "Data has 128000 values.\n", "EPOCH 250: TRAIN 0.00019 TEST 0.00035\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "torch.manual_seed(123)\n", "model = FCN(128, 128, 128)\n", "train_loss, test_loss, y_pred = learn(model, learning_rate=0.001, n_epochs=250)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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ckG2dsLl7BpLaDsPNq5gyktBZO3E+MoZ2nboVmjGbh8lkIiHhFkajEXd3BxITM7h2LZKlS3/kn392YKVSMaJXZ/5v8hM0ad+r2PkVeY0bQs1ZQ3vf1zSW7H9j7HN2A+hTYNsbiC7huDHcjo4B+ZG0KVqt9os7P5IAfTXsEAgEFkp1Ot4XTbsZstIK1VABxdKcYRFXWLL0R85cjSYqJrbUaw8eNJhpEx6iqZ0JY/x5DCdvYEy8gbrbWEzx2egxkXt6K5K9G7K9G7JbUyRrB1Ba3fbLvy3WAxxAoUJSKDGZTBiTosk9th5MBpBkVC37IantMeVkYMpKxZSVAio1ALqL/6C7sBOA5kBOxFp0Lv7YDJ2BJMmYstPByhZJlnF39wBu/5Ey3TyBgxTL3Ndf4PrzL7F06Y9s2LCOP/Yc4d577+OJJ57Cz8+/wq+xmEggEFSN6oizv4B3NRqNB5ABPMDt9GU+Go1G4vaCgQMFfpwOvKLRaPZrtdpDwHRgbTXsEAgEgkpTUisJvdo3X0zknNiYL96yc3L4bvaHrPj7ILZWCjr5u/DAxPvRZF8mxFWNpFCi7PYQRpemKJx9cMxNIHP9h+QAqO1QuPqj9GtNzoFf7ogrJTYjX0Xp3bxE2xQuvihcivQca9YJpW+LCkWi1F0fQKXpgzE1HmNqHMakaEy5WUjS7fmmWbsWYYjRonBriuwRiMI7lIxkRzI3zskXo01GvsLbb3/AU089w48/LuL3339jw4a1DB48FI2mBb6+fvj6+uHo6EhMTAxRUTeIirqBQqFgypQnS0zXCgSCilFlcabVaqPupDZ3AlbA91qt9rBGo9kMvK3Vao9yu31GrlarzS5wnkGj0TwEfK3RaGyAS8Cj1fJCUCnCo1LQXktC09SlTueKCgR1TVlptfJaSeSJt8NXbzHnnwhiUrMZ0dKD//QMwNHGCtnbCWNMngAxwtFfULUdinVgK0x6O6z7T0XhGYzk5IUkSbfFXuTx25E6DBhiLiFJciH7yksDVjQSJVnbo7C2R+EZVOJ+VfPeyA7uGG5eRXf+b3RntqFz9Pg3kmjQobt2GoVXCF5e3rz22lv83/89yZIl37Nlywa2bt1U4nWVSiUGg4ETJ46xYMHX2NralWurQCAoTqOZrVnTNNYcfHhUCrNXnkBvMKJUyMx8uGMxgdZYfa8olux/Y/K9aE1Zeasv83zX6XScPHmM3bt38c+OP7kWFU2Avz9vPPcMLSM334l8KUChBF3W7ZMlGauO96LwCMSQeKOc1hK3I3XquyaQs39Fvn1Ft+uq9YTJoMN48yo2OXEk/LUUDDry6tlkzyCU/m1QNmmL7BGEJN+OvGVkpBMTE010dBQpKSl4e/vg5+ePp6cXf/65hbfeeo22bduzcOF32NuXvICrJOqrRq0xve+rgiX73xhrzgQNEO21JPQG4+0vxwYj2mtJxcTZxauJHDwdJSJrggZNRVs5JCYmcPbsaSIitBw+fJTTp0+Rnp6GSqWia9fuPPLo44zsFApXD2Owc0ap6YvKr+XtQv7cLIxZaaj8WgLFa9TK6gtWzL6Io/XSekJSqFB4h+Lk0Yksa290UReQbRwwZSShv3GG3ON/kHt8PeruD2HV/h5MBh22CggJaU5ISPG07D333ItKpeL1119m2rQp/O9/i3B0LP9zRPRFEwj+RYizChCREklY0mVCXYIJcgqob3OqhaapC0qFjMFgRKGQ0TQt3H4kPCqFOb+cQKcvPbImEDQEKtLBfuvWTbzxxisYDAYUCgXBwaEMHTqcXr360r1tC5QR+9Fp96DfuR3J2gFlSA/U7YYiKa2KCYeCNWoV7QtWyL6gLhhiL5Vpb21T1D51l/swZaejjzp3OyoYF07u2b/RRxxE4dsKZVBXlM06Ids4FrrOkCHDUKmsmDnzOaZMmcRTTz1D//6DSlwxmofoiyYQ/IsQZ+UQkRLJghPfoTfqUcpKZnR80uwFWtGasqLbMx/uWGrNmfZaEnp92ZE1gaAhUF4H+7AwLe+++yZt27bnuedeonfvbqSn68GoR1Ko0EUcJvv0FpQBHVFp+qBo0hZJLv0jsyJisDz7FK7+lapBqwska3tUwd3/jWwZckGSMSZHk7NnCTl7f0Lh0wKbIdOR1P/WmPXvP5D58//H+++/zcyZz+Pu7sHo0fdz//0Plrjis7Kvn0DQmBHirBzCki6jN+oxYcJg1BOWdNmsxVnRmrKHB4ey8q+wYjVmpQkuTVMXlEoZvb7kyJpA0JAorYA+LS2NF1+cgYODPXPmzMfN1RVDxFEy96xBGdQVdafRKJt1wu7hOcj2bhW+V1lisCL2Fdw2tzRffmTrDsqWA1EFtEcfcQTDzStgZQtA7umtYGWDKqgbd93Vh02b/mLfvj2sXv0Lixd/xw8/fEu7dh0YMmQYQ4YMxdvbB6ja61dZzEHsCgQVQYizcgh1CUYpKzEY9ShkJaEuwfVtUpkUrSk7po0vt8asICF+Tnw0rVehmjOxulPQmDAajbz11mvExETx/beLcYw7Rcb2raSn3UJ28UV28QNAkpVIFRRmedRkXy9zS/MVjWyp/FqicGuKwq1poeN0V45ijAsnZ99ylIGdUDXvTZ/efenbtz8xMdFs3PgH27dvZe7cT5g79xM6derCs8++QMeOnWu1L5q5iV2BoCyEOCuHIKcAZnR8sk5rzsoSQwaDgUuXLpKenp7/M0mScHR0wt3dnVB/p0I1ZZ01nly6nlJqjVlJtGjmipudKt+W8lZ3CgQNiR9/XMSuXX/zyiuz0KQcJ+fYQWSvEDyHPUGGc/P8XmD1jbml+Soa2bId9QbG+MvoLu1Dd/kQ+vCDqNoNx7rHOHx8fJk6dRpTp04jMvIKf/65jd9+W8n//d9EhgwZxvPPv1ypJrflUTBSZm5iVyAoCyHOKkCQU0CNirKyxFdRMfTy+A6o9IkcPnyIgwf3c+TIITKyclHZOKK0diDj5mUA7D2bY+8ehEJphbWNPda2Dvj6eKLOsmL6GA2nI5JxsVeSnZ7ERW0cPt6eODk5l2trRVZ3CgR1RXXSUiaTiZUrlhK+fTkPjRjGww8/gjHxOipNXxS+LbHzdCTTjNoJ1EWaryo2lWeHJEn5x6l7Poz+2klk59vRSENsGNkHVqJq2Y+mwT2YOnUakyY9yk8/LWbJku/5558djBp1X/5nkyRJeHp68cADD6FQKCpla9FImfquCVCO2BVpT4G5IMRZHVNeJOr0pWgSb5wl/dYVMpNv8OjaK2RlpOLs3xG/NkPR3HMPRkmdf/z/9bVFrYR/zqVxIe7Oh5fJiAlIMMo8/fQUJEmiSZcJuAf/OxsvN/Ms+ox4bJP3EhQYTNPAlrRuGUrLFi2Af4fABvnYY9JlICltUSgUogZNUG9UJy2VmJjAkk9fo79TMvcODEJu1+u2iCiSkjM3Gvr4I0lphSqoW/62SZ8L+mxydv9IzoFfUIX2xKrlAKZNm859943lyy+/4I8/1mI0GsnrwWkwGDh4cD///e8c1Gp1abcqRtFImSk7vUyxK9KeAnNCiLM6pmgk6uzlOOIjz3D06CGOnjxLdDLYeYTg0qQz3q3vwTHtAC1DmpKmDCRdr6aZtwNerra4OKhxtLOiub8zkXFptNAlMmqwC839nZAkCZPJRFJyChf6LOLMmVNkGZRIVnFISjsMkpqbKUrS1M6kJxjZunUL3l082XHFmYxlR1HqEshJusLNa6dJS00BoEXb7rz+1sciaiaoN6qaljq6cyMpu35iarAdmZIb6gGTUQV3rwOLBUVR+rdGMfYjDHFh6M7vRKfdje7yIewnzcPLy5sPPviEDz/8tNA5K1YsZfbs//L0048zb97/cHR0LOXqRe5VQlq4LLEr0p4Cc0KIszpG09QFQ1YSiTdOkxp7kU/WR5CdmYazbyuC+k6nKWClMOHiYI0mwI12wU/x7R/n0Bt0KBUGHhmqAW6LPA9nGyLj0gpE4iLzI3GSJOHq4kyvXn3o1atPqfaERw3nsxXHyc5MQ5+TirunLzmmYGz8euDbZjjt3eLIyspi2YrlvPXyFD7/fCEhIaF19GoJLI2y0koVrcG6fDmc48ePcvLkcU6ePM6kUCsGNXcnNag/vv0nIN0ZLi6oHyRJQundHKV3c0zZEzEk3kBSqDCZjGSu+xCFVzBWrQYhO3sDMGHCo7i5ufPGG6/y+OOT+OqrRXh6epV7n8qmhc2txk9g2QhxVgXKW71oMBiQJAlZ/rewOCrqBtu3b2P7X39yIwmcm3SgWfdH8VDF07WFF5JDM3KNSvq088Hf0x5ZkgDYdOBqoUjb/jMx7Dsbm58W7dXGu1o1YdprSRiMJpRqe2Rre0b2DWL80JbsOX4dpUKiTaAbGdk6zmZ3IC0+nOmzZjNjyv3cM2xYtV9HgaAgJaWVgEJ/XMv6Y6vX6/n8889YsWIpfQJdyJRtaNGiNcqO7XEYMQobF8/6cEtQBpK1/b8iSJeN7OiJ7vwOdGe3o2jSDqs2g1H4t2Ho0HtwcnLmxRenM2nSQ0ybNp177x2NSlW20K5MWtgca/wElosQZ5WkpJqx3Nwcduw+SFp8GFfCznD69Emys7OxsbHFzs4OSVZyMz4G/44P4tHiMYKV1thYyXRq7kkz3/as2hGO3hCLUiHTvZVXvjCD4h39gUJiDCiz4395lDQxwFqtpEOIe/4xRqOJYT0C2HdahY17CKuO5rJ232KGdfVl5NABXL+VLVptCKpN0bRS7qV96C/tK1YDVFrfstdee4mwUwf5+YlBNLPKQBnaC5sBU+vBE0FVkKxssRk0DWPmeHQXdqE7v4OsLZ9jc/dzKJt1pEePu1i8eBnvv/8277//FosWfc2UKU8yevT9WFlVLRqaF6nNbtUJ1L4NvsZP0HgQg89LobRhqJsOXOX33RGYTIDJgGPGSfb8uRJDbiYgERjcnB7duuHg4EBaZg5RKUrOnTmOtZMfHqH9aBviw9BuTWjZzAWFLBe6nizBfX2DGNGzWaF7FozUAcxeeSJfTM18uCNAtcRR0Uhgab6bTCa0kQn8+Psu4jJtubDtE5TGLBwC7sKlSWccPZo2ilYbYghw/fhedDC4qnkvdBd33RZrkoxVl/tRdxxZ7LyoqBvMeHYa7e0yeLZPEEqlEnWX+1C1GVxmR/+iWPJzB/Pz32TQo796DGVgFyRZQe7pbRjTE1C1GsjBc2F8++1CTp8+hbu7B0OH3sOwYffQpk07pAJfbsuiYKRWUqiwGVF8AYClrN40t2dfl4jB5w2IiJRI9t68ga+Vf7EWGpqmLihkicTrp7hxYi3ZaXE4eLfAI7Q/jp4hPDi4Da0DXdlxLIpTF+LQ2RkJ6NEeAAloEeBMmyC3QtcrL/JVtKN/SeOXqiOIypoYUBBJkmjRzJ1PXxxLdo6OE4Oc+GbxMtLUzVDaOBJ9YScrVkXw2jOTCn2TFU1sBRWhaFoJQHdpX5k1QOHhYUyd+iiDAx2Y0SMAhV8LrPtORnbwqGvzBTWMpFAWWrhhzEhEd+4vdGf/pINXKD989BZHryfz66qVrFq1guXLf8LX149hw0YwbtxEvLzKrksrGKk1GYovABCrNwX1iYicFSFvlmbeRICiszRPnTrB7M/ncvbUUXz9A3js8Rn8HW6L0WhCliV83e24FpeOQpZoF+xGp+YeLN2mLRTpKqm3mTmJl8p8kwiPSuHjJfvJzU7Hys4NfW4m6dcP0625A2PuHYHC3pc5v5wss4ltQ/a/sWFuvpcVuUhNSWb6E+OJTsrg++9+wM+YiDK4e4UjJ0UxN9/rGnP33xAXTuaGTwuPkGrWGdkjkCynJuw+G8G2bVs4cGAvsqzgnntG8uijU0pdwFQwUisplMUiZzknNpJ7dE25kdvGgLk/+9pERM4aCAVnaZqMei7dmaV5/vxZvvpqAfv27cbFxZVXX32DsWPHI8kKQi8nEJOQQRNPB5Zuu4gsSxiMJs5eSWR4j4AyB41DxSNX5kiInxOzJt+F9loSDjYq/jkaxhVVP/ac/ZNflt+Pp09TVJ4dcQvug6S2LbZgQUwgEJRFaTVA+rREtIte4q0eLmT2f4dmQc3rwTpBXaKPvggm/Z0tCdm3BfprpyDyOApJyZCQboyc/RkxSenkBuOcAAAgAElEQVQsW7aEtWtX88cfa+nffyAvvPAKAQHNCl2vYKTWvVUn0tS+hfaL1ZuC+kSIsyKEugRj1BswSWAymJjz6gd8p5tLRMRlnJycmDHjRcaPn4iV2oYDZ2PZsP8q9jYq3nqsC5Ik0b+DL2v3XAH+XT05omezRiU4ika6CorLvh38iLqZjsLUnr27O/L7n4eIT0zkwraPCe7xKJqmnQtdS0wgEFQW3dVjJG37H4G2BiIcO9K1U4/6NklQRSpT01VULCmcvDHGXLwd2TLp0V/ahz78EK4hPXl56mSeeuoZfv11BT///CNjx97L5MlPMGXKk9jY2ORfM0/8W3s4kFYkeiJWbwrqE8W7775b3zZUBmfg+aysXGorG+ti7UxTGz9UOvC46YSvtTdgYuTI0Xzyyed06dqdwxcS+HrdWfafjcXDxYbRvQPxdrXNb59x8FwcmEwoFDKjegfi6mhdO8bWEnZ2ajIzc0vclxfpOnc1kYPn4mgZ4FLMP0c7K+ztbGnVqg1pymYkK5rh4t+Wa8d/h6xYOnfuhlJ5+3uBLEtm93qV5X9jx5x9Nxn05OxfRu7BX7lyK50/dYGM+c/bVU5jFsWcfa8L6tr/vLSiIeosurCDKP1aItu7lnq8bO+K0q8lkoMH6s6jUbg1RRd2EDCBQoX1wKeQrO3Qhx1Ad247VunxdH/oGUaPvp+bN+P55ZflbNmykSZNAopF0UrzXbZ3RenTPN8uQ1w4urD9SLKMbO9abLuhYsnv/dr2XZIkbG2tAOYDyRU+T9SclUxpeeg9p6P5cfNFAn0cGNUrkHbBbsX+OJhbDVVlKSsHX5HVpQUxmUycDLvFir8ukZCaQ9K1YyiSjvPstKn06tUXpVJpdq+XqL8wL9+vXYvkwoXzRFy+RM+c0xyLiGF/ujPffLek3D5XRSkrUmOOvtclde1/TdR0lfQ8Tdnp5J7fgSk3C+se4wDQXzvJqdgsPvrkIyIiwvnkk7kMGzYi/zoV8b3gAgHuzOrM2b8if7shLxiw5Pe+qDlrQOh0hVW09loSWTkGOoS607O1Nw62VrQvQZTl0ZBryMqjIqtLCyJJEh2be9A60JWth66xYT/cyorluef+g6enF2PGPMCYMQ+UKfDMTbwJao7y0lqbNv3Bjh8/5WR0KknZBrY1aUKLlq357N1ZVRJmYvVd/VLweddETVdJNYmStT3qTqP+vWfCdbK2zkNj68yy1x/nle/W8NZbr+Hm5kbXrhVPiRcb7xRxtNi4p7zjRBpUUF2EOCuBxx9/lPbt2zJpygus2hHOibBbBPs60j7EDaVCLtSg1dII8XMqd4FDSVipFIzqHUivtj7YW/dm375hrNq0l59XrWfRoq955JHJPPvsi6hUqkLniQUDjZfyxFLUtauk71jEu3eHkubXFbfBT1Rq8HVRxOzE+qWk510XNV2yqz82w18i9/RWDCfW83EPW/72bMU7rz3H/G+WEhqqqdB1ionJoC4YYi/lb0vW9jUu/i2lz5qgOEKclUDHTl35ackiDl5zwD2gPff3DeLurk0qXNsSkRJJWNJlQl2Ci/VJawxUJzLo5mRNeFQKmdYh2Afb0sarHw76q/y8bC4nTx7n00+/wMfn31VTYsFA46UssZSbHE/ib29zj8aNnOA++AyYjCQrqnU/sfqufinpeas7jqxR0VGSmJEkCWWTtiibtMWQcJ3cM1sZqDjJ4uOxPPPMkyz9fjEGgzd79hzi3LkzAMUWDkDJCwQUrv752zUt/kWk17IR4qwEgjuPwnrtJm4cW8ncV8fT1LfsmXwFxRjAghPfoTfqUZbQJ80SKCsNWTASppAlWgS4cu4KDHhsPic2z2X8+Pv44INP6du3P1D5NKqg4VCaWDLcvErK2g/xUBs573YX3Qc9XiP3E6vv6pfaFscVETMKtybY9J+KtT6XuXddYcqUicSvmMXVXD3rTsWw72oyeqOJAwf2sWDB17i6uhU+v0gateh2TfonIr2WjVitWYTwqBR+3KLF1qUZsRd3EBUdzfACQ76zs7NZvfoXlEoV7u4e+U1rLyaGcSTuBACRqdcxYQKTCXcbV0KcA2vH2FqiOqtXylvNeeBcLOeuJuY/vz7tfBjcxZ/jYck4BfTEKvsGP//0LampqXTq1AUvV3taBrjg4WzDqN6BdRI1EyuX6sb3Yqvv7vzhuXBJi/bAn/yV5ctDz7xZ8/cssPquIJb83KH2/S/teZdFZVZD6sL2Y4g6y53ZekgOHih9Su5/J8kK3Nzc6dK5C1euXqGtpzVDgxx5rF87Bg0awq9bdrBx8ybuuqs3Li4V+0JYFf/KQpLlf1ejykrUnUfX2opQS37vm+tqTRE5K4L2WhIGdDi0zcEnfhi7d25m586/GTBgELt37+Szzz7mxo3rODg48sMPP3PFKiq/aa3BqAdMKGVl/oSBvGiapVBeGrKkSFiInxNBjzty+GI8fWd8x7x5s1mxchn79u3mgw8+oV27DiKV2UjJizyYjHpyT20hp1kPXnv7bfR6Hb/++n59myeoYSozWLyyab2qRObate9Eu/adcHezJeboHnSnt9I07hg/vP8qT3y4gMcee5g5c+bTrVvFFg7U5OB0Eem1bETkrAiyLHEo6hTKphdw1thhk6tk86p1bPl7N8t++hZ3dw9mzpzF8eNH2bBhHXcPHs7FrMu3+3TJSh4IvZfuPp1xt3HlnsAhDTKlWZ1vEuX1LXN1tC4xEmZtpSTY1wmlUknT0I5EKzqSHBfB0h8WkJOTTadOXVAoKlZzFB6VwoFzsciyVKWeaeJbZN36bspOJ2vbfHQXd/H96j/Yfy6cL75YSGBgUJ3aYcnPHczP/8pEwqB6kSs7e2uyrdxQteiLskk7XFv1ZMiQ4aiv7kd3fgffr/yNy9HxODg44ObmXmO99cqjrEhvTWJuz74uMdfImehzVgLhUSmciL3Eycy/SNYlEXfwGpGbw/BpPozP3nmRFgFuXLkSwZQpk7C2tubd+Z+SbJXWaBYAVLfvS3VbXxw4F8vKv8LIyNLhpL/MjtWf069ff+bMmV9u+4SaWN0pev7Une/G5Fgyt32BKS2Bny5msmTXaT777AsGDhxSZzbkYcnPHczP/4KzL5GVtVoQX5rvaQdXoz+9BSUGTkansupUDBE5tgwYOJhBg+6mXbsOFf7SaM6Y27OvS8y1z1m1xJlGo5kAvAmogHlarfarIvvfAaYASXd+tEir1X6l0Wg6AN8DjsBuYJpWq9VTPs2owya0UbGJfLlvNZd1J9DfdMMY2bVQ09WLF8/zxBOP4erqyo8/LsfNrXG02KjPX9Q8caXTG5Gk21+a3Wxy2LH8TQb268N//zsnf7pASVS2SW5JiA+quvFdH6Mla9t8kGTmHk5g46Ez9SbMwLKfO5in/3XVSqIs3005Gei0u8k+/SdSZhLHEmVmrjmCTqfD1dWN4cNHMn3688VWdzYkzPHZ1xXmKs7kqt5Qo9H4AR8BvYEOwJMajaZVkcO6AOO1Wm2HO//libdlwHStVtsckICpVbWjNrFSqBgdfA8G7V0YY1ujUMj4+6pIy00HoEWLVixc+C3x8fE89tjDRERcrmeLGz55NWsAmKBjqDspuTaMfuwNtm/fyrvvvoHRaCz1/LyaNllCrO40cyRrB0wOXry159YdYTav3oSZwDxReIXUeLuNyiKp7bBqNxyHCXOwHvwf+vzfLHbuPMAXH33Aq0Pb8NcfvzBlykRiY2PqzUZB46M6CwIGAzu0Wm0igEajWQ2MBQpW8XYBZmk0mgBuR8heBrwAG61We/DOMUuA94Cvq2FLrRHi58TM0QPy03Q7E9ezPDKChzRj6OLVgQ4dOrFo0U88//x/ePTR8cyZM58ePe6qb7MbLEUXDAzvEcB9fYPwcbPFxyqer7/7BrVazZtvvldi3UdVm+QK6gaT0Yg+4jDK4O6cuHyD17/5m+TkJGbPns+AAYPq2zyBoFQkWYEqqBsA9kDv5n5kR+vo+Ugndl9J4r0Zk3hq1mw6dOhUv4YKGgVVTmtqNJrXATutVvvmne0ngG5arfbJO9v2wCrgRSCc2yIsEtgIzNZqtb3vHBcCbL4TRSuPZsCVKhlcQ9xIjeHrwz8TlnCFPgHdeLzTeGytbLhx4waTJ0/m0qVLfPzxx0yaNKk+zWzQXLyayJnLt2gb7E6LZv8Wwqak5zDlvQ1cO7sDV2MEU6c+wahRo7CyqtwYH0H9YNTlEL9uHpmXDrNP3YZZ8xcTEBDAN998Q5s2berbPIGg0uhTbpJydDPJx/5E0mVzOjaNjO6PMmHixDpbNCBoMNRNzZlGo3kDsNZqtW/d2Z4KdNZqtdNKOb4jsBiYDnyi1Wr73Pl5KLBBq9VWpGNfM+p58DmAwWhga+QOtl79G2e1E9PaTcbP3of09HReffVF9u3bzciRo3nuuZfw8Ci7ga05Yq71B3qDkRXbL7HrZDS6pMuc+3shbi6OjB8/iQkTHsHGxrZG7mOu/tcFteW7KSeDrG3z0cdeYm2kiS82HWLEiFHMmvU2dnb2NX6/qmDJzx0s2//q+m7SZZN6aju7Nq/hnd8P0qtXX96ZfB8e7foiqe1q0NLaQTz7RlRzBtwAfApsewPReRsajaapRqOZUmC/BOjKO68hoJAVjAgcwgudnsbV2hln9e3Umb29PfPn/48nnpjGtm2bGT16GIsXf0dOTk6N3j8iJZJtV3cQkRJZo9c1d5QKmUeHtWDS3c2xcg1m4GNfENS8PV9++QXTpj1OWpplfriYO8b0RFLXfkBOzCXe2x7OtzvP8N57H/Phh5+ajTATCKqDpLLGqcu9jHzjB155ZRYxYaexOfEryT/NIGvvUozJNVOPZogLJ+fERgxx4TVyPYH5Uh1x9hcwSKPReGg0GlvgAWBrgf1ZwGcajSZQo9FIwDPAWq1WGwlkazSaXneOewTYUg076o0gpwBe6PQ0dipbDEYDKy6uJjE3ienTn2fNmo1069aTBQs+54EHRnLs2JEauWfeRIINEdtYcOI7ixNoAAM7+fP8g+3J1CnoPPRpZs+ex7lzZ5g2bQqpqSn1bZ6gALm5uaxfupD0mzd4ZZMWj85D2bhxO6NH3y/SPoJGh0KhYMKER1m4ZA0LLin5SxtL9tm/yVj1OpmbZmNMja/ytfNai+QeXUPmxs+EQGvkVFmcabXaKOANYCdwElih1WoPazSazRqNpotWq70JPAVsALTcjpzNvXP6ROALjUZzkdu1lQuq4YNZEJsZz4n4M/z38Dz2RR2iSZOmzJv3Fd98sxiFQsHTTz/Ojh1/VehaZUXGwpIuF5pIEJZkeStEw6NSuBaXxqS7NUy8uzmBrXoy7ok30WovMnXqZJKSksq/iKDWyUq+xQsvTOe971bwbbQ7b3/1K6+99laxeYUCQWPD19ePWbMXYTdoGk9vjWLRoetEXTrNrv0HMRqNGBKvY8pOr9Q1S5q1WVlE5K3hIJrQlkJV8tBJ2cksvbCKS0nhdPRoy8SWD2KjtCYlJZnp05/i3LkzvPPOh4wefX+p18iLjJU2OD1vf954qNoYrG7O9QdFm8w+PDiUFdsvoTeYyEmNJuyv2TRp0pRvvvmhyvV+5ux/bVNTvmeEHSLzr695a+tFBj/yAmPHjqsB62oXS37uYNn+16bvOp2OzZs3sHjxd0RGXsXR0YkF9wTi72jFzispHExU8p9ZnxIcXHa7kOo25S04Dosi47DEsze/mjMxvqkUqjLSwUZpTTfvjqgVVuyOOkBUegxdvTtibW3NsGH3cObMGZYtW4KdnR3t23cs8RqHY49zMTGs1MHpLtbONHcJqdXxUOY8yqPQ4HSTCZ3BSFxiFgBKtQPtuw7g9P51bNu2md69++DsXPk+Z+bsf21TE76nn96Ofs8PRNzKpOndUxj9wPhC+yszzLqyVOfalvzcwbL9r03fFQoFLVq05KGHHiY4OBRrazVJCidUskRXTwWD/K24cnALtzL1+IS2LfU61R2sXtY4LPHszW98kxh8XsPIksyQgP40c2yKrep2x2ijyYitrR1ffvkNs2bNZO7cT9FqLzJ9+vN4e/sUOj/UJbjcwelBTgGNYkxUVSjaB62zxpNL11PQ640gQUy6mvEzFrLuu5lMnjyBBQu+oW3b9vVttsWQcWwDpmNrOH4jFUPPxxh+z5hC+ys7zLoy1Oa1BYLqolAoGDp0OEOHDs//mSkng4Qjm/DM3MD3P33N6fgsHhn/MBhykW2di1+jGoPVqzIYXlB/iMhZKVRXTbvZuOBo5QDAN6eXsOP6HrwdvBg3chwGg4G1a3/jl1+Wk5WVSatWbVGr1UDdRMbKw5y/RRUdnN6puQctA1zwdLFhdO9AHGxU7D2XwNB77uPqud38+usKmjdvQUBAswrfw5z9r22q47s++gK6fxaxMzwBU2BXBg8YWCx6Vdlh1pWhute25OcOlu1/bfleXiRXUlph27Q11u3uZsexcyxf8TMeyVqaRGzGkBSNbOeCZOdSI4tnyoq8iWdvfpEzIc5KoaYe2OXkq2yI2EZybgqHYo/h6+DDmIFjGDFiFLdu3WTVqpWsXfsbTZs2IzAwCLgt0EKcA3GxLv7NqS4w919UV0drmjdxxtXRutC2m6M1rQNdsbdR0adDE8beN5oDB/ayYsVSbG1tadeuQ4U+5Mzd/9qkWuJM7cScb77nwJVbPNVSiS7sIEq/loX+KEmyjC7sIGACWYm68+gaS21W99qW/NzBsv2vDd/zIrmGqLMl/i4URKWyYvDgYUiSxLotW9HpdARIiUjhe0m9uB+VlRrZLaDaIk22d0Xp07yYHeb67GuzBCIPIc5qhgYnzo7EHkeb9O/KmDO3zuNr50WodwiDBt1Nv34DOHHiGL/8shyNpgXNmgWWcbW6wVx/UStKkK8jDrZW2NjYYOPThZTEOFav+pkjx0/St0/fcgcUN3T/q0NlfTeZjOQeWYNk48T23XtZuGwVz/cNpKmTNSVFr6pbN1MW1b22JT93sGz/a8P3ykZyJUmiS5dujHpwIql2fvx2KobjF8PwVuWSfCMcuzYDsLKywpiegGRVMw238zDHZ18ZcVsdzFWcVafPmcVSmSaweTVkMhJKSYmbtStLz68iPTcDgJYtW/Ptt0vQaFry8svPsW/fnto232K4Hp/O2r3XMDS9n6ZdJ3Li2CEeGDuKo0cP17dpjQKT0UjO7h/JPbmR7P3L+WnxNzRr4k/PQA+Q5FLrWmpzmLU5DMoWCOB2jReyqszfhZKwsbFl8OChfPDfz3nx643stuvG08v38+CDozl5cBcZK18hY/2H6C7tw6Q3L0FVk9RE65CGjIiclUJpajqvlcXFxDCOxJ2guUtImenHQjVkQUMYEXQ3bdxb4mHrhslkQmfUY2ttw5AhQ9m7dze//rqc9u074ufnX5vulYk5fouqCk72auKTs7gen46ta1Nc/NuRGXuGVb8uw9PTi5YtW5V4XmPxvypU1HeTUU/2zu/Qh+0HSebIhXCWH7jEs49Ppt2IxwpFr+oiNVETWPJzB8v2vzZ8r4kosVKppHv3u+jQuQe7dv3N72tW4R/cAg9TKtKVg+Se24EpKxXZrQmSyrrKtprjs6/NEoiCmGvkTIizUijtgZXX6qIkCtaQKSQZJ/XthQK7buxjpfZ3WrlqcLV3YfDgofzzzw5+/XUlXbt2L7aSs64wx1/UquJoZ8X+s7GYTKC0duSVGY+TGHuFZct+IigopMTeQo3J/8pSEd9NBh3Zf/0P/ZWjKPzbYkqL5/PdEWTlGnnjkVHYaHrl17XUVWqiJrDk5w6W7X9t+V60xqvoF5WKfnHx8fFhzJgHuJWUwne/b+anA+Gcik5FLRnwybnBr/vOYuvuh4u1jKRQIckVS4rl3d9KbUWu0qFGfK4parMEoiDmKs5EWrOSFExTltbqoqL42nmTlpPG7KNfok0Mx8XFhW+//REPDw9effVFMYqoBgjxc+LViZ3o084HtUqBna0tc+YsoH37jsyaNZP9+/fWt4kND5MJkz4Hda9HUHceTURSLoeupfBAez/sAgr3abL01IRAkEfR8Uu5F3ZVahyTra0db7zxDvv3H2f9+i08PGU6kSm5vLX1EgtXrGHcuDHsn/cfbv0wjYwDv2BMvVlhe2KWv2uWUwMsuUxBRM5KoTQ1XROtLiJSIjkcexwPW3cGNOnDmYQL7LyxF3uVLS29NbRr14EVK5Zy48YNBg++u85nEDa2b9CujtZ0DPVgYCc//DzsUalU9Os/mH17/2HVquJRysbmf2Uoy3eTPgf0uUgqa5QhPVF6BSPbu7Jw3Q6u3bjBJ3O+wq5p60Ln1FVqoiaw5OcOlu1/XfhedIEAeh2m1NhKt36RZRlnZxf8c67TjhsMCXVnTBtvAtrfhfZWJrmpt/DPuYHu3HYM8RFItk7Ijh5l22Oq2bY2DQlzjZyJJrRVoDpNYEsaz/Ry52dYcm4lqy6tJ9g5kDZt2jJt2nQWLpxHnz79GDlydA17YJnYWqsA+GPfFXYej2L6q7OZ/e50pk9/ih9/XEZIiOV9MFUUky6HrG3zwKDH5t7XkWSZ2NgY/vxzC1t37ubBB8fhGlp86oXCKwTbka+gj76I0reFRX4DFgighCawQV0wxF4q1BTWEBde4d+VgtdzsbflwZGTUXiFsGfPPzw1+x16+VjxECrsPYI5n5DLscMHuHT6CFHJmdx993CGdm2N9Z3zJYVoSmtuiNmapVBb87a2Xd3BhohtmDAhIzEyaChDmw3EaDJyOflKfpo0V5/LtCenoNVe4Ndf1+Hv36TGbSmNxjxnLTwqhU+XH8dw5/0zsb8XH70xDYMR5ixYQte2wY3a//IoyXeTLoesrV9giNVi1fcJ1u45xuZtmzkddhWANm3aMXful3h5edWDxTWHJT93sGz/68r3ouKr4DZQ6uzLil4vj5SUZD755EP+3LoRtUpJZq6ewaFuvDU4hLMJelYcjuDIjVS6d+7EfT3bMfrhiaSpfWvVd3PFXGdrishZHVPaeCZZkvP/fT5By5qwDbz09us8NWkys2bNZPHiZSiV4nFVF+21JIwFvpCsPZiAb4+nOL9tNs8/9zTfLlrKAA/zKoytT0y6HDI3fIzxViRWncfwvzVb+GnVaoLcbJnaoxkjnpxFs05969tMgaBBUHT8UsHtnBMbi9VnlifOShvn5OTkzIfPT6O3FMHpqCRa+zpz1/jnsM5NoL12D+3cVWSYlGy6cJNXFizmaHwWzz47s9wekJWJ7Amqh6g5K4XaykNXpGYtTZfO/ujDnE69wKi7RvL78l/R6/V0796zxu0picZceyLLEgfPxYHJhKyQ0BtMyFYO2Dg3IU77N+cvXKRLz4HsOn4DWZbypxBYCkWffda2eRhjwwDYeeAwn6/7h9GtvZg9ogXtfR1x9gtqNHUqjfl9XxEs2X9z8L2m6zN1Yfvxz4qgWxMnAl1tsfUJRt15DKo2Q5DdA1DpMmnt7QjN+7B06U9cOryDkFYdcHMvXp8GddcUtjYpaXWsudacCXFWCrX5wMobz+Ri7Uw7j9aciD/NZekGrfxbsuqHZaW2fqhpzOGDqrYoOJtzdO8gmnjZc+5KItb2HljZ2HP5xDa2H7hEVK4PB8/F0TLAxaIEWtFnb7h1DWN8ONeSs5i54QKhTbx5b0gICgmzL/CvLI35fV8RLNl/c/C9pltHlCb2JElG4eyLKrQnKk1vuvfozYA+3bhbfxr9xV1cDTuPZ1BrZHXhKQS1ORe3qlSmh2Jp4lKIs5qhUYizimCvsqOLVwe0ieHEO6XgqnPit6Ur6NOnP+7u7rV67/r2vbYpOJszyMeRVs1c8XSxYdiAu7iVnM7FI5uQZAX27sF4ONvQvEn9zDitD+zs1GSkpKI7/zeyZxCylQ0p5/fx4h9nyTWY+GbeF3h0HlrrvYfqg8b+vi8PS/bfXHwvbfZlla9VjtiTZAUALVqGkoIDUWFnCZET0J3Zji4uHIWrH7Kt851jzWvldWUjeaWJS3MVZ6KIyYxxsLLnuU5PcTDmKC1fC2bixAd5/vn/sGLFGlxcXOrbvEZDiJ8T/h52vP7tQbzbjMIt4gbRp/9AwoRm0pv1bV6dYszNImvL5xjiwlF4hSJ7BvO5VkFkUjYLP/4A/7Z3ATQqUSYQNFZKq0kriiQrcGnTj86t+rBi0TySj21hdK6RVJdQ3K6fQXbyQuEZVOMrr6tTw1ZSD8WyrlFstayZr04VkbNSMJdvUkpZQTPHJtjZ2RPYNpQTOefYs+Yvhg8biUJx+1tPXt80WZLLHCVVUczF97pEqZBxsFWx80Q0PXv3R6lP5dKxLTjbW9GlS7c67zVXH5j0OaRunIsuWosiqBtpajdmffABf//zD89Mf57R4x6tbxNrFUt83xfEkv1vLL5XdVRanv+SJNGuS0+ynZoyfcEyVm/5E4+0y/gknsVwdjvGrBRUTdqhc23G7t27+Pbbr9i4cR1+fv54eXlX2tbq1LBVNpJXWiTRXCNnQpyVgjn9suaJrxRVOnGOyaRbZ/P7whXYqm0wuSpZeOr7Cs/6rAjm5Htd0tTLAXsbFTuOR9Hjrn74OxtZvvwndLpcunXr2agFmkmfS9a2Beiun789K/P0WWZ88SPhVyN58cVXeeyxxxu1/2C57/s8LNn/xuB7dcROUf8DAprRx1fNvsNHWHs2jm3am6isrPCV05GvHCT+wHq2bdvM7vORxMXFsXLlz1y6pCU0VIOLS8XuWd0atqrU6JWUNjZXcSbSmmZAREokYUmXCXUJLrZ6s2jT2nsCh7DF9Be5Tna88983sVXb4tLTF+9eAUhWEJZ0ucoNcgUwqLM/slLBz1suMG74VFRKJYsXL8LNzYOJExtv5Mh4KxJD7CXUoV35/Kff+OVkDAEuNsx7ZTptRz9W3+YJBIJyqGyarzwCO/bmu3F7OR2VyIX4TI7nuLJi/X8sJhYAACAASURBVGU6eFgxoXsw48eMYua9M8jJyWLH8i/5bOkaxo79m9Gj72fatOnlRtJqIs1Y0bRtQ0SIs3qmpIkBBcVVWNJl9EY9JkwYjHqUkoJnOj7Od6d/YuB79xG9WsuZDSdICbtJuyd7V2vWp+A2Dw4KxUqGri08ubvrO9y8Gc/8+XPo3r1Ho5giULDOQ/YMRpIkFN6hJPV+ltfffoNz2hhGt/Ziep8QXHsMrG9zBQJBBajpmiqFVwguY16jV/RF+pVQE2YymW5H0+Ou059L9HuyF8eSVcz5fTObN29g/PhJTJkyFSenkjM5YnpI2Yi0ZinUVZj7cOxxLiaGYeL2fDN3G1dCnAPz98uSzJG4E2AyobgTOWvuEkxzlxAScpN4d/LbYCuzb+Muevp24d5+91bbpsYQ4q8OdnZq3OytUChksnIMWHu05PCezRw4sI/Rox/Ir/VriBRKfVw6gCH2IiZgw54jPPfyi2Tl5PDhqy8x6Z5B2HW7z6I+MMX73nL9bwy+V6cVR2n+l7V6NK/MQbJ3QXYPgMxkfDIjeaCtN71bNmXhqs38/MtKDAY9AQHNsLW1K1YTV5OrU6uKuaY1hTgrhbr6ZS1JfBWsGSutaa2LtTNdvTuikBW0ad2OqNQY1i9fTdu27WnatHppzcbwQVUdCvq/6cBV1uyOpGXbrhz86xdyc3Pp2bNX/RpYDQoPOzZiSrvJ5gMnef+bn+jQuhWr1qwhpHXXev/ArA/E+95y/W8svldV7FTH/3/7pt2FqnkvJJUaF7LoN/Udrl2/xuX9W1i2bCnHjx1CdW4Tnmnh6MMrvwDAZDKxcuXPrF27mpCQ5jg6OpZ7TkUWSAhxVjM0OnFWkYkB5TWtXaFdQ7RbIjYZStatWMXddw+v0Bu3NBrLB1VVKei/JEvsPxtDmk6NytqBPVuX0blzV/z8/OvZyqohyTK6SwfA9P/snXd0FGUXh5+d3U022fRCSAKkZ0IJhN47fnRFRZGioggoKKCCioKCBZAiRUAEkSZFaQpSpQhIV0KHgRBCJBAIpACp274/QmIIIb3vPOfknOzOzDv37mwmd9733t81ArDydAyzd51haLMavNfUDbe6LUhTmWf7Kvl7b77+m7PvUHz+Kyy1qDxrYVGzHc4urnTp0o12xnO8UNMBG30CG07fYOGRSG7dS8bawgL3mo0eKTR68OABBoMBtVr9yLh6vZ4pU75k0aLvuHjxAr/8spoHDx5Qu3YdLC1zFgnPb4FEeQ3OhBKzSCbf+Np70dm7Q6ET+Z/x64qjpT2uz/pi7efAmDEjSU1NzdwennCNHRF7CE+4Vlwmmw1h1+MzHwSc/Vrj7teY8eM/IibmdtkaVkiEKn4I1esAsOTvKH6/lMB3z9Whf30PlBhIvnaujC2UkZGpLCgUAnbPjsOyQU8a+3kwpZvIot7B3E1MY/CkuXTu3I7hw4fw4ovP0Lp1E1q1akSHDi2ZNm0y0dE3AUhOTuK9995m7drVDBz4Blu37qZLl+6sWLGEnj3/x9Kli7l///HG5TkVSFQk5JmzJ1CRnqQ0Kg0Nq9TjYtwllEFarp0LZ8cvm/H29iHVxsCc0IUFktqoSL6XBFn9FwQFR87fwmQ0gUKBp399pCMbWLPmJxIS4gkMFLG21paxxfnnwYMHbFm1kKNXbhJTtRHffDoW15jTZGgFObV5UZ45M1PM2X9z9h1K1v/M2bS6nUFliUVKHG169iOw+f9Qpt7HIukuGic3GjRoRMeOnXFwcODXX9exevUKIiOvsWzZYk6c+IexYz9l0KCh2Nra0qFDJ9q378SVK2GsW7eGX35ZRVxcLF5ePpmrRvnVQSuvM2cKU0lHOcWLN3D17t0HGI0la7erqy0xMY9H4+WZZH0K359eyvW4KM7NPMTN61HUbloPTQcXNK5aBBT08O1MgKPfE6U7oGL6Xpxk9z8sKgEpMg43R2t8Pex4EH+LRYu+Y8uWTVhYWPBU1+do0PZFggPc8fe0L0PLn4zJZMKUFM/cxT/y44+LmPTVVLp1fxp4tHqzap36Znvt5e+9+fpvzr5D2fmfevQX0k5tRXD2Ql27A2r/ZihUlty4EcWKFUvZuHEdAFOnfkObNu1zHOPcuTP89NMy/vhjO0ajkQYNGuHu7kGVKm64WikJcrYguEWnJxZIlLTvgqDA2dkGwAeIyO9xRQrORFHsB4wD1MAsSZLmZdv+DDARUABXgdckSYoTRfFVYApw6+GuWyRJ+iQfp/RGDs5yJc2g417aPWwUWn76aSk/LP6e1LQUAvrUx6OJD70Dnmbd5U1PlO6Aiut7cZGX/0ajiW1Hr+HvYmT+grns270N14A2+Dbty5i+9ctdgGa4FUbKsXXoY67y8soTBDdrz1dfTc1xX3O+9ubsO5i3/+bsO/znf1HaKUHB2zGZdCnoLh9Gd343xtjrYKnFomZ7LJv0BiAhIZ6UlJR8dR+Ijr7JmjUr+eef49y+fYs7d2IwGAwAdO3ag1GjRuc4TnkNzgqtcyaKoifwFdAQSAUOiaK4V5Kk8w+32wHfAY0lSYoSRfFzYAIwEmgEvCdJ0urCnl8mZyyUalysnDGZTNi1cWdcqymsnrIYad0Z3uo0hERd4iO6abJobcH59/YDfj1wlYBq9nR87h3ORz4gJmw/rv6tkCK9y1VwZrgVRtKmyWAycOrGfaLvJbNg+MiyNktGRqackZFAj1FHmqDGuscHBQrQCnO8Qq3BolZ71DXbYYi+hO7cLoxJCZnbtckx2LnlT7uzalV3Ro0a/Z89BgN37txh/fqfWbr0B/bu3c2gQUN54YU+JCYmEh8fR0JCPI0a1cPCovAFdCVFUQoCOgF7JEmKlSQpEVgH9M6yXQ0MlyQp6uHr00CNh783Bl4VRfGMKIo/iaIod/EuZowmI/Ep8Wy7sZuXPnodBzsHZn/+NdUsPVAJKgQUKAWVLFpbCHQGIw0CXbgYGY8UGU/1kKdRqq3598RaAqsXvbdpcZL6z29gMnA/Rc+oX8/xQseWeHh4lrVZMjIy5YyiJtAX5XiFQoHKXcSq03A0bV8HwHA3kuRNX5H481jSzv6BKS0Zw60wUkN/x3ArLM8xlUolbm5uDBs2go0bt9KyZSvmzZtFu3bN6d69E/37v8CwYYP5+OOPC+RnaVGUDgEewM0sr28CTTJeSJJ0F9gIIIqiFfAR8G2WfacDh4BJwFygf35P/HCKsMRxda3YidEfur7FrMM/sP36Ht74ejhTB3/O+kXL+fTTUZyPuUztKoEEuvjmeGxF972oPMn/ixGxTF8Til5vRCkouHAtjlYN/PG1HsK6ZTO5828oLeo/XcrWPkrKdelh1aUJw/UzoBD4YlcYWksV77//Xp7X1pyvvTn7Dubtvzn7DuBSqwE3QzdhMuhRKFW41GqApgCfSUoRj8+OySmQxF7vknB8K6mHVpJ2fB0mfXrwp1Opce8/AU01MV9jubrWZPnypRw+fJhTp07h6OiY+RMUFIStbfm79kUJzgQga+KXAjBm30kURXvSg7RTkiQtA5Ak6dks26cCVwpyYjnnLP8M8O+DLs3IgdsneO7DAaybvJy6dRvSq9fzYCJHHyuL74UlN/+PnI5CpzdiMoHCZMLf046j56L5bGA/Th/exsSJnxMS0hQrK+sSsy+3vI6sSwsoVKhrdSD0vobDkYcYNfh1BFcx12trztfenH0H8/bfnH2HdP/vW3pg1f2/dkr3LT24X5DPJIfj48+GFq09U5V6WHSvh/L2FVL2L8UU+y8AJoOemFOHsbRwf0QnLa+cN3//Ovj713nkPVvbUss5KxBFCc6uA62zvK4K3Mi6gyiK7sAOYA/w7sP37IHXJUma+XA3BaAvgh0yuaAUlLxWqy8Wgpq6tWsRufsSU6Z8ga+vH3XrhpS1eRUOsYYjKqWAwWBEqRR4ob0/Wo0aDxctH300jtdfH8CPPy5ieAnldeWV16G/cREMGWXhBkxWDsyZtxR3dw/6viHnmsnIyDyZojYSz3p8YXLQnhRcKav4oWn9KkmbvwaTARRK9FeOYLh+Bovg/6HybYLxTkSRcubKG0XJOdsFdBRF0VUURWvgeWB7xkZRFJXAZuAXSZJGSZKUMdX1APhAFMWmD1+/zcPlT5mSQSkoeaVWH0Lcgpk0aRpV/D0YOLAf06ZNJikpsazNq1D4e9ozpm99nm3jy5i+9Qmo5oCHS7rOWZLKk049+rNs2WL+/TfyiWOERSWw5XAEYVEJT9znSeSZ12HQ/fe7oGLhzuNcuHCed955F0tLywKfT0ZGRqYwFDQHLSOYS/t7fbqyf7a8MqWbP9Y9P8Si0XNYdR+DRb1uoE8lZe9CEle9T+rfG9MfTCuo6Gx2Cj1z9rAC8xNgL2AB/CBJ0jFRFLcCnwLVgQaAShTFjEKBvyVJekMUxReB7x7mol0CXimSFzL55p46iRqvB1Mrsj6rZi9n9+6dfPTReNq165C5z6U74RyLOPNEHTRzx9/T/rGKzFSdgc2HrpLm0gZr+wN89NH7LF26ErXa4pH9wqISmLY6FL3BiEopFFh6Q+URRJqgBqMeBBUqj6DMbborR0kL3YTg4o3Sqz6/n7nOkp+/pXfvPnTt2qNoTsvIyMgUgNzuVTmRUzCXfebrkZk990DUNdtiuH6OtLM7Mfx7BhRKwAQKZZ7nK+/IIrRPoLLmIBhNRn66sJaj0f/Q1DqETdNXExZ2mSFDhjFs2AjCE67x7cmF6AxP1kGr7BT22t+8m8ikFf9gMqRyeM0HdOn2DF9NnJApYivWcESKjGPD/nBMJhAU8GwbX7o39y7QebJP/RtuhZF2bjf6K0dQugVg1fV9Dh8/zjvvDKVZsxbMnv0dKlX+nsMq6/c+P5iz72De/puz71By/hdE9+y/ZdD0YK7AUh5xNzCl3McQfRlTUjzG+3ewqNcVZdXAR/LSslPpdM5kKiaCQmBAzRfQG/UcvX2St6aPYd+P21i4cD4+Pr4INa3RG2QdtMLg7qylVxtfVu68hPi/D9i6+UuqetXibGyVzJmyvp0CHslZE2sUXEXmsbyOzV+nP3GiwKLBM1y+GsGYMSPx8wtg6tSZ+Q7MZGRkZIqTguSwKd38se7xQaELCJSOHgCo3EXSzu5Cf+UoyZsnI7j6YlGvKyrvhiiEitNOvOJYKlNsCAqBV2u9RD2X2mwI/52XR75BgwaNmDDhE4jWo1LKOmiFJSU1vbZFY+uGa0A7Viz8msSEGEwmMBiMJCbrHslZK6pgrf7GRTD9V09z4tAe3n57CFqtDd9+uwCttnRkZ2RkZGSKitLNH8v6PYqcyG9RpxPaftOxbPUKptQHpOyaR8q+H4rJytJBfqQ2U5SCktfq9Cf09mn8nXyZPn0O/fv3Zvr4L5i/aiHhiTflnLNCINZwRK0S0OuNuAe1417kEa4e/hGxw7soLSwQazjmmLNWGPTXz2GMuQoKFXHJKSw4HMnWC4epWtWd2bO/y1fLExkZGZnKiEJliUWtDqiD2qGP+AdBm75KYXwQi+7in6hrd0KwKn+dATJQTpgwoaxtKAgOwKjk5DRKOlWupDvVlweUCgFPm3SdmFhDPN4NA9i1cRvnT5zl7ZfewdXGpaxNLBOKcu2d7DTU9HKkiqMVz3WoQzUvkZNnJTRJF/hgWD/EGs6PHRMWlcDhc9EIggInO02+zqO/cYHk7bNAoeCPNC8+WPEHF27dZ+DAN5g2bSZVq7oXyn5z+N4/CXP2Hczbf3P2HSq3/wqFAqWjJ4KNEwD6q3+TemRNequoOxHo70SiR5W5vSTOb21tATAbiM/vcfKypgwAW8J3sjV2L8O/GsOpU6eYMWNK5rbwhGvsiNhDeMK1MrSw4uDvaU/35uk9NqP1bvi1HERk1G1mThpDYuKDR/bNqN7csD+caatD8yWvob8pkbx9JgpbF2afSWXinAUE1gzml19+Y+TI90tUAFdGRkYmg4K0UyovqMXWWL84CWW12ugjTpBw+NccpTvKGjk4kwHg5Vp9qGFbjWOcpu+oV1i7dg1HjhwiPOEac0IXsjl8B3NCF8oBWgEZ+nRtqjhpCe78HmcvXmXIkNeIj4/L3C5FxqE3GDNz0qTIuFxGA330JZK3fQPWTkzYf5NfftvEW2+9w6JFy/Dzq7iCizIyMhWLvHTJyjNKBw+UVTLul+VTF00OzmQAsFJpGF7vddy1btzwuk9gqzpMmPAJZ6LOojc+Wr0pk3+0GjWjetdFrVbTvPcErlyN4PXXX+bu3TvAfx0HBAX5q97U6zBqnXn3d4k/jxxn4sRJDB06PNdScRkZGZnipqiN0ssalUcQKC1AIeRLh620kYOzSkhhlyGt1da8HTKYqjauNH6pDbdv3+LAyj9QCblXb8rLnrnj5mTNsF51uJ+qYOC733DjxnXGjh2NwWB4rOPAkwoFTCnpy6EJVm68tOQw58OvMWfOAp555rnSdEVGRkYGeBjcCOpyG9zkRYZ0h2PbvuWy1ZNcrVnJyFiG1BsLJyJrY6FlfPtRJMXrsXhVx5IlixjX9ktsA51yrN4s6vnMhZreTnzUvwE+HnZUVY9nwoRPWLz4e4YMGfZY9WZW0Vp/T3vSLu4n9eAKLEK6M/f3v4m5E8OyZaupXTu4DD2SkZExZ4qqS1YeULr541infrkUIJaDs0rG5bgrjy1DFjRYctDYoVPe55U3BnHa6jI/LvyeNT+ux87u8bLj4jifueD3MABr3b4bHU5cZcGCuTRo0IhGjZpk7pO9vdP4VqnYn14NwMXdv/Drr6EMGPCqHJjJyMiUOUVtlC7zZORlzRww3Aoj7uCGCpXgmEGAo1+ey5D5JdmUgn2AC1V7B7BgydwSP5+5sGH/Ve7ZNMSndkvGjn2f2Ni7mduyFgi4cQebM2sBMJlMfPNnGPZaawYPHlZWpsvIyMjIlAJycJaNjAqUuH2rK1wFCoCvvRcj6g+hh2/nfC8xPilnzMOmKsPrv4GVsw0XnCOJvnszX+eTc9Byp/9Tgbg5WuEW0o9kvYpx4z7EaDQC/xUI2AopDLP5A9RWIKjZdzWeUzfu8dZrr+Y4gykjIyMjU3mQRWizobt8CEPU2fQKFEwobF1RuQeWzMlKCEeNA/4OPjhqHPLcNyNn7GLsZY7fCiXQ0Z9qTlUyBQmdNA5YJim5zDX+iThJO7/WXLt/nWPRJxAUAo4ah0fOl9N4+bGjPFHSgoxqlUCwrxMHTkfjHtCcwzuXcf9ePC1atML5oYitg4MtblUccGnbF2P1enywYA1VqlTh00mzEEqwP1xlFqPMC3P2Hczbf3P2Hczb/5L2XRahLSYqegVKQckpZyw7nYI7oA5NIy4lnhNRJ3PVPcvPeDJQxdGat58LJsWgpt3zH7By5TLmzZuNIfY6Puq7dG/ujWfLngj2bqz54y9uxMTywdgJchNzGRkZGTNAvtNnI6MCxTLhKqn2PpU+2TEjZ8xg1OeaMza46yBeea0vbgNs0dVNb7SdUwFAfseTSV/CHNG7Ln4erZihu8jejcvpY3EWa0c3rHt/gUIhcOHCORYuWkBQ3WY4V6tV1ibLyMjIyJQCcnCWA9nLaw23wip0uXBuZOSMXY67kmuj8+DgejRu0IRDm/+kdnArTAoQFMrHgq/8jieTTrBveq/N9we9wgPX6yTcT+SApSfPKQR27NjK+E/HgtIalVc3pq0OzVULTUZGRkamciAHZ3mQUSCAUUeaoC6XYnVFxdfeK19B1KBBQxk69DWcEu24a3OPFh5Ncjwuv+PJpGO4FUbK1mkkmaz5Kb4av66Yw+5joRw8eAAvv1rY130VlaVtZnsnOTiTkZGRqdzIOWd5UNFbVBQnTZo0o3btYE4s3Ed912D2Rx3iWPSJsjarwpN2bjdqrR2/qHtxy641Ti5uHDx4gAYNGjFlxkKstPb5b+8kIyMjI1PhkYOzPDC3AoHcUCgUDBo0lOvX/+XXcStIi0pk6dnVDP5kEKdOhZa1eRUO08OSY03b19E+8wmv9mrKpf0/EHvnNjW8/QkN/YdI6Xi+2jvJyMjIyFQe5OAsDzIKBCwaPVcplzQLSrt2HXj11UHUDKyF9rQCRayBW7dv8emnY9HpzLMUuzDor58l6bcvMKU8QKFUg8aOubO/4u6/p/Bq3If/vfwlISEN+OSTMUSF/UP35t5yYCYjIyNjJsg5Z/lAblHxH4Ig8O67YzJfm0wmDnn+xfDhg/lp1TJee3VwGVpXMdBHniL5j28R7N0xmYxgMjFz5lQ2b/6Vt956h4ZtX6C6mw0DO3/P0KGvMXr0SH78cSXBwXXL2nQZGRkZmVJAnjnLAZNRT9LVU8U2nuFWGKmhv1e4bgP5QaFQ0LJla1q9/BR/aU5yLVruCpDb9daFHyd55xwER0+se3yIYGXHkiWLWLFiKX37DmDIkGE0CqqCm6M1Wq2WjyfOxt7egWnTJmUug8rIyMjIVG7k4CwHdGf+IHrV56Sd21XksTKqPdP+Xl8h20Hll349+mHhoOGbI/NI0aeWtTllRm7XWxd+jJTd8xFcfbDu/gFYalm0aAFz5nxD1649GDPmYxQKReb+O479y6wNEn0Gvsfp0yf5448dZeGSjIyMjEwpIwdnOfBHZDJprgGkHvyJ1JNbijSWuVR7thCb43ndEZ2NidlHvsNgNJS1SWVCbtdb6RaAWmyDdbcxmNRWTJ06iXnzZtG9+9N8/vnkx9oytannjquDFWfuuhBQqyFz5swgLS2NsKgEthyOICwqoZS9k5GRkZEpDeTgLAc2/f47Pab8zF0bb9KOrSX1+PpCLymZU7XnqD6jiN52hci0G6y6WPjPrCI3Ts9+vZXuIrrLhzAZDQhaRzRtXiP1VjgfvdWf1atXMGDAq3zxxRTUavVjY1lr1IzoXRej0USN5oO4EX2beQsXM211KBv2hzNtdagcoMnIyMhUQuTgLAemTv2GoFq1eeGbtdy09ibt7B+YHtwp1FjmVO1pY2PDq20GELlD4lbYjUKNkdE4/Um9O8s7Wa+3VffR6C8dIGXvQvRXjgIQH36KEcNeZ+fRUN5s4cOoAb1zbWRe1cmat3rVISFJQYNu7/LzysWkJN3HZCJTlFZGRkZGpnIhB2c5YG/vwJo1awip34g+M35mn6YRgq0rQKFmg5Ru/ljW71GpA7MMevbsRY0HVVg9cRGHD/9FqqFg8hqVoXG60s0fi7qd0Z3Zie7ifizq90Tl35yLFy8w4M1h/PNvHB+286V/fXcMN6U8x6vt48SAzoH06VyftNQkbp3fJovSysjIyFRiiiSlIYpiP2AcoAZmSZI0L9v2EOAHwA7YD7wpSZJeFMUawE9AFUAC+kuS9KAothQ3NjY2zJ27kDFjRjLu6+lExiUxqFUgxpgINO3fQCHIKiQ5IQgCU6fO5LXXBvDprPGEDGvD0HqvPtKDMzzh2hN7b1aGxukmXQrJO7/FEHUOy+Z9sQjuzMaN65g8+XPsbW2Y81w96lbVPnGZO6deru1CPAFPDj3zPNt27qLPiy/Rumk9WftMRkZGphJS6JkzURQ9ga+AVkAIMEQUxVrZdvsJeFuSpEBAAWSIYM0H5kuSFAT8DYwvrB0liaWlJTNmfMvTTz/LwoXz+XXDL+ivHCHlj3mY9LLg6pPQam349tvvUacoSbgdx4LTS4lOvA3kvWyZ0Ti9h29nRtQfUiF7dBoTbmG4HY6m3Rsogtrz2WcfM3HiOOrXb8TPazfTbMhXjyxzZ5XeyKu6t0XnVwjq+hmb1v6Ak5V5Fl3IyMjIVHaKsqzZCdgjSVKsJEmJwDqgd8ZGURS9ACtJko48fGsp8IIoimqgzcP9M98vgh0lilqtZuLESYwbN4HpW46z+GQs+muhJG+fiSktuVjOURl10Nzc3Jg9fT5hy06QdD+RuaE/cC/tfr6WLX3tvejs3aHCBWamlPTJX6WLFzZ9p6HwbcbYsaP57bcNDBkyjPnzF+Hk5PzIMnf2YEx36WCu1b1N63phb6vBJrAXo0aPJiUlpSxclZGRkZEpQYqyNucB3Mzy+ibQJI/t1QAX4J4kSfps7+cbZ2ebAhtbGFxdbTN/f+utwTRv3pghQ4ZwOy6BD9uDsOkLqg35Jr39TiFJuS5xc8tUTAY9OqUK9/4T0FQTi8P8IpHV98KP0Yj50+cydOxw6gxrwdxTixjU8CW2X9uN3mhAJShp4hOMq0vRz5WVlOsSydfOYeVVu9CfZUH9T448z611X+PU4RXsQjpiMFgzcuRIdu3ayYQJExg8OOfOCXGXrpJk1GcGYxqNGr1SjcmgR6FU4VKrAZostrgCXw1rw3uz/iTBuRWffzGe7xfMz7WooKAUx7WvqJiz72De/puz72De/pdH34sSnAlA1ux4BWDMx/bs75PtuDy5e/cBRmPJqqW7utoSE3P/kfc8Pf1YPmsaH7w7jDGbL9C7bgIdzp9BVTWg0OdJPX8CkyF9psRk0HPn/AksLT2Kan6RyMn3wmLp4YRrSDUuLvublO41SfBP4Z2QIZk5Z44m1yKfK2uOFkDS71PBqCNOUBeqQrag/qf+8ytpJzah0DqSbOtN8q0EJk4cx2+/bWTEiPfo1eulJ45nsPcBQQVGPQgqDDWaYFWjSaY/9y09uJ/tWBu1wJvPBDN3A5yPuM3wUWNp2mkAYg3HIuegFee1r2iYs+9g3v6bs+9g3v6XtO+CoCjUhFJRgrPrQOssr6sCN7Jtd89h+23AXhRFpSRJhof7FE53oQyweXCD6T1Evt57hQ+2XKDnvS/4ZPRo1Na2KF19CjyeyiOINEGd+c+5sumgXY67QtXW3sRfiSF0+p/sdWzAwP+9WmxLlhnLghh1pAlq1IEtH1sWLKkqWZPJROqBZegu/pn+OukehsR4pn77Hb/9toGhQ4fz+utDch0jQ3ojewFAXjY3CHTl+ba+7Ei9xKb1szgRnoJn7U6M6VtfLhKQkZGRAcKiEpAi44rl8mEoOwAAIABJREFUwbW0KUpwtguYIIqiK5AIPA9k/ieSJOmaKIopoii2lCTpIPAysE2SJJ0oigeAPsAq4BVgWxHsKFVUHkGo1JZ83DGAqnbWLDtwjAG+03G3UWPZ+HksQ7oVaLwn/XOuLAQ4+qFWqgl8qT6hM/exbsEqouzu0r5GK9pXb1Xk8bMr8psgXQS2FIJd4+0rmYEZwJ0HyUx6/32On7/MwIFv8Oabb+drHKWbf6Gue/fm3hiNT3H6731EnfoVlYUVUqR3hbsJycjIyBQ3YVEJTFsdit5gRKUUKtyDa6GDM0mSokRR/ATYC1gAP0iSdEwUxa3Ap5Ik/Q30BxaJomgHnADmPDx8GLBMFMVxQCTQtyhOlCZZg6l3ngmi+vadDP/+O2b0rInP0Z8xJcWjadGvwGNWtqAsg4zqy8txV+g9pQdjh4/izpWbrE/djJPGgXqudYo0fvaZR4vAllgEtizRYNdkMqJQCOmJ/S1fJvXwGo5G3OHL3WEkGwU+++xLevV6/pE+mSVFTW8X/Fu+TlpqMpf2ziI2siY09y7x88rIyMiUZ6TIOPQG4yOC3RUpOFMUtsVOGeENXC2rnLOcSA39nUMbF/PVrjDGtPOlhbcj6jpPYdm8LwpFxdT4Lck1+A0b1vLl5Am0Hf80JjuBUQ2G4m1Xo0hj5qQLVhRy89947zbJu+Zh2bwfKncRo9HIrMnjWL52A/4+3nw9fS5+fqUbaIdejmHhpnMkP4jnwo4pfDNtGi1bts77wByQc0/M03cwb//N2XeonP5nzJwZDEaU2WbOTCYTN25EceLE3wQHB+HtXXIrLFlyznyAiPwep5wwYUIJmVQiOACjkpPTKOmYUqu1JCkpby0zhSDgevskrX0cmfpnODqjCa1KwCWkY7HNnBhuhaG7fAiFICDYOBXLmLmRX98LQ1BQLe4n3GPbjxuo0SKAk7HnCKkSjLXaqtBjCjZOqNwDi+2zeZL/+qjzJG2dhiktCbVPIwQ7V1avXsH8RQvp3bsP07+ZR5UqVYrFhoLg7qylprcjRy7G4egusur7CTRs2Ah394IXlpTktS/vmLPvYN7+m7PvUDn9d7LTUNPLEVcHK55u5YO/pz3Hjx9l3rzZTJ8+mYUL57N37y50Oh1t23YsMTsUCgXW1hYAs4H4/B4nB2dPIL9fVsHGCZVnTexd3en54qus/SeCmb9sJepGFC3qBCAY0lBYagttR0bCuyHqLLrLR1B51izxAK0k/1AVCgUtWrTi5vUb7Pt5Bz71A2nn3wpLpWWJnK8wKOMiuH9mX2YwbDKZ0J3dScreRQi2rlj3+BClqzcREeGMHj2SFi1aMXny9Bybl5cWTrYaXOytCL2Wiq1jFdb8MJnmzVvi6lqwYLEy3qTzizn7Dubtvzn7DpXXfyc7DYHVHXC0tWTZsh8ZP/5D7tyNo1bTHrzYqwfP9xtKjTrtMRhMONlpSsQGOTgrZgryZc2YubF0dOOpp7pgSopn1dq1tDZeRHvtMMoqPgh2roWyQ3f5EIaos+kJ75hQ2Lqicg8s1Fj5paT/UBUKBa1bt+XKhUtsX7iRqi7u1KxVC6PJiFDGS8GGW2HErf/qkWBYd/kwaUd/QekeiHX3DxCsHdDr9YwY8RZJSYnMm7cIrbZ0tPdyo3oVG9L0Blxc3Yk4t5/ffltP27YdcHTMf//NynqTzg/m7DuYt//m7DtUbv+Tk5MZP/5D1v++m3odBuFS53mS1e40CKnHhkO3OX35DofP3aKml2OJBGiFDc7kBpHFjCkmnAEO/1Kjq8jEbef5oqtI9S3T0LToh7p2pwIvdVZWqQ2lUskXX3xNcnIyk6d8zkXnSHw8fHi55oulkkj/JPQ3LmIyPBSFNehIu3QQvfQXAIZb4RjjolC6+bNkyQ+cPXuar7/+psCzUyXJ8239UADdGy3m9dcHMHToayxZshJPzwLpPMvIyMiUe5KSEjl+/CgXLpzn4sXzXLhwnqSkJPz8/PH3D8DX14/fft+GolpnanbpgREwGkwoBQV34pMzCwYohwUDcnBWzGRIO7TxcaS6vRUT9l5nUIgzLVmJ4dYVNG1fQ6HK/xJeZZbaUKvVTJ06i6FDX+PknuPc7hRLFWsXuniX3Pp/Xqg8gtApVZj0OsAEuhQwPWxmYTKgv3GRy3E6vv9+Hp07d6Nz54JJp5Q0wsPAVq11pdmLkzm8YRJvvvk6S5asxMWlcLO3MjIyMuWNqKjrvPXWICIjryEIAt7evjRq1ARra2uuXL/LoTNRrFv3MzY2tvyv/RDsHZ04FXYXSC8IUCgUqJRCZsGAWCP/KwylgRycFTNZZ7p8XO34fvaHfDJjDueir9FTr8G7pQGLAn7qlVlqw9LSkmnTZtGv3/MkejiymR24aJxoVLV+mdgjuHpjLTYl8dwBBAd3VD6N0F/9J3PmMtbChXHjPsDBwYGxY8fna8ziribNDyqVwL1kEw16fsihNWMZMeItFi9ejpWVdamcX0ZGRqakkKSLDB8+mNTUVGbPnk+TJs1QW2j4W7rNnhNRoEwgsJYFi2d/iY1Wi62tLWFRCZyPiMsMxloEu9Mi2J3rd5Oo5mxdrmbNQM45eyKFXYPPKBBQ2Lpi2fAZtDVq06VLD45dvc1nS34l9NRJWjdtjPrOFQQH97wHLANKO/9Aq9VSt24Ii7+aj2eIN2eTJAId/XHSOJSaDQDGezEkb59JWsQp1DXbY9V5BEqnaqg8a6K3cmRdhJEPJ00lLjaWL4b0IcDbK8/ijLIo6ADQatT4uNvx58lo6jbuwOGdywm7fImnnuqSax/Oypx7khfm7DuYt//m7DtULP+PHz/CsGFvYGmpYeHCpTRo0IizV+OZtuYkh85GoxIEerTwZmDXIJwd7bG0TF+pyql608lOQ+M6HmiUJZdKI+eclSOyz3SpVCree+9DAgOD+Pzz8WydPoKnA+xQ12yfroemsihDa8sHISENGP3eh0ybNZkOH/dCrSz9r2Za6GaM8Tep8tz7JLsEZ77/z7U7TJmyiPDwK7Rp1oThgSY8Us+R9PulPHt3Zu9gUJLtpLJT08uRfp0CWLHzEr0GTWbDwg+YPn0yH3zwSZnm9cnIyJgHBW2flHV/rypWTPhyEkcPH8DBwR5XZ0e0Wi379u2lenUvxk6cg61TVSA98PKpakuHhtWo7eOUmd6RHX9P+3I3Q/Yk5JmzJ1ASTxKBgUE0b96KGcvXolSAyC30EaEo3UUEK7tiPVdRKKunqNq163D9WiTbFmzA1daFOnWCMSpMKEuwgtOUlowpMR6FpRalh4g6sBVOgXVJSkrDZDKxePH3jB//EVqtDV9++TWvtQjE+q6U7+pZhSCgu3wEMIGgwrLhM6Uyc5aBj7sd95LSSNRrCPG1Z9Wq5dja2lG3bkiO+1ekJ+jixpx9B/P235x9h5LxP0ME9lxELEfyUQ2Zdf8D/4SxcsEEjh7cjcquOklpgCGVmNvR1GzUhcDWg/jjxG3uJCRzNyEFRzsN3Zp5cT9Jx5Fz0QiCIt+Vl6WhTiDPnFUA6tQJZv73y3j99QGcv6vj4w5akjZOxOqpt1HVqFvW5pUpCoWCTz6ZwIMHD5gz5xv23j6IX9OajGs7GpVQ/F9VfdR5UvYtRmFlh3WvT1FYWKOwSM/J0ul0TJo0kY0b19G1aw8+++xLNBoNhlthBaqeLQ8FHX07BmAygVKoT/TN68yYMQVRDKJx46albouMjIx5UND2SRn7J8ZeJ/yvBRhS7+PdfCBOXk0QFNBQdOXf24lExyaRkKijU6Nq/Bkaxekrd1EpBfp2CmD1rssVtpdmdipmf6EKjo+PL999t5iD4XcY/ns4BvdaCC5eZW1WuUCj0TBz5lzmzVuEPjaVGFMsI5eN5s6dmGI7hz7qAom/fknylqmgVKFp0f+RZb579+7xzjtD2bhxHUOGDGPSpGloNOlPYRnBlkWj5/Jc0sxA6eaPZf0epRaYhUUlsOVwBGFRCQColAJqlUBSqgHflm/g4SUyY8bXGI3GUrFHRkbG/BBrOKJSCggK8lUNGVDNnriII1zaNR2T0cDIj2dRxbcpCtKPVygUWKqVDH26NlPebI691gKD0ZQZ/P0j3X4sGKzIyDNnZURQUE3mzv2eN98cxOAle5hZ93k8NbYk75yN2rcJqoAWZp0X1LJla5o0acr032dx3esOkzdOY8bgqUUeVxd+nJRd89JfKAQ0rQYC6T1SjS5+7D0TxpIlC7l69SoTJnxFr17PPzZGea6ezVgayPr0COlPpc72Gs5FxCO2H87e5e+xZcsmevbsVcYWy8jIVEb8Pe0Z07d+vnLOQkNPMG3aJMLPn8XLrxbvfzyFmAdKhPB/aRbsRpsQT7zcbFEpFZn/FzOCv4zqy4ZiFS79m1BupTEKitz4/AmUViPYI0cO8c47Q9HpdIjeNZjY0RtPyzQUnnWwbjMQwdalxG3ITnlqgmsymRi7/jPuO6XQ1bk9Pep1LfQ4CoWClH82oftnQ/qbCgFVUFuuHtvFpjPX2XYxhoQUPd7e3owd+xlNmzYvRk9Khy2HI9iwPxyTCQQFtKnnwcGz0ZnB2rOtfVm7Nwx9fBjRoav49ddtWFn919e0PF370sacfQfz9t+cfYfS999kMhETc5vIyGusW7eG7du34upahTeHj8ZgV5O9oTdI0xloXLMKvVr7UtUpZwmg7AUHBS1AgJL3vbCNz+WZszIgq+5Vs2YtWL/+d/76ax/Hjx/jzXXH6extxeBmJoy/jEXT+HnUdZ5CISiL5XzlYcanIPYoFApGd3iHd9d+xK7QHQUOzkwmE/orR0g7vR3rHh+hrlYL3cnfwajHpFCyZs8x5v56HBQKWvs48fyzz9Nr5Hju3k0siotlRvanSeCRqX6D0Ujvdn6s/RMULvVZuXIZb7zxZtkaLSMjYxb8sGwV69euJO7ODVJSkoF0rcshQ4bx6sBBfLHiNDHSvzSt6Ub3Ft54ujzalzp78JW9+rIiVWPmhRyclTIZulcYdaQJaqx7fECNGv706/cK/fq9gsFgYP/+Pxn01ce828abEMud2NfqAIUMznI6X1kGaIWxx8XJlebGeixcMZ8L3c4RKAahzMfnYbhzjdRDKzFEX0Jw9cWU+iAzZ+xBxBmm/LyDbXt208bXmffa+OBsa431U0/nqgNW3sm+lABw8Gz0I1P9fh52XI9J5IihA0uWfcWzz/bG2fm/GdrCPH3KyMjI5MaKnzcwd+YXWDlWw8G7Od3bN8CpSnWu3bOjY4eaaK219H8qEBd7De7O2seOzyllozLfn+TgrJTJS/dKqVTSvn1HXF1/4J13hmJ3KIov612kTpBI6vF1WNTrhqDN/1p6WepsFZc94QnX8Gzrh81qW+b+Oh+PDn6MbDAUG/Xjf8AAJoOO1IMr0V3ch0Jjg2XrgajFNigeBl23jda8N2sFFy9eYPjwUQzs0QFj9KVyM7NYVLI/PeaU9zGwq0jLQAte2fiAr2d8Q9ueQxBrOHI3UWdWN0AZGZmS559/jjN72mdoXbwJaDcSpcqCWAsbQqUHQDLT14TyYb8GBPs6P3GMglZ/VnTk4KyUyW8j8zp1glm6dBXDhr3B4MGvMufjUdS8fQDdxX1YhPTAom6XfInXFkfj9OJcFi2oPeEJ15gTuhC9UU+Vtl6cPhqK0NSWRWeW83bIYNRZJDZMRmN6ACaoMCbeRV3nKSwbPoPC8r8g7sKFcwwbNhidLo3Zs+fTpk379A25aJVVdHKa6lerlNQS/enU5TlORSRx+ad1uHo35KkmXmZ1A5SRkSlZwsIuM2rUcNyqeuLWfDgKpQUm4NqtB5n7mIymPO812VM2KnrCf17IIrRPoKSE6bK3d8ot2HFwcKBLl24cO3aExT+vx1SjAQ1EHwwX9qKTDoBSjeDqnWtVZ0HOl0FW34u7/VBO9hhuhaG7fAiFIDw29rHoE1yMvYwJEzaedtzaFYGTyp6EKinEpsRRz6U2GPXozu8hZfd3qHwaIVhao/JvhrpG3UcC2NOnT/Lmm4PQarUsXryCkJAGefpfGQmLSuDwQ6HGB4Ibd41VMepSuHpoOTV8/LibpAaTCaVS4OlWPvkWc6zoVPbrnhfm7L85+w4l539U1HWGDn0NpVLgxx9X0KSuP2fC7+LmZMWzbXw5FxGb73tNTu2XigNZhFYmk4JIMTg7u7BkyU98991clixZxO6jNZjx0Uiq3T2JPvw46lodgP+qEYt6vuyUxLJoVnvyykELcPRDJagwGPUoNRr6vDKAxXPm80bzURyLPoHT/QTaX7mE6cFdlO5BmPSpACiydRX4++9jjBjxJs7OLixcuBR3d48i+VBRyZ630bdTAIcuxGPj6o+zf0uWzBhFh/89TaturxHs7y7PmsnIyBQIk8nE8eNH+eWX1fz5524cPWrR+pkRODhVwUOj5os3mqLVqFAoFHi4aAuU31qZEv7zQp45ewLl6UlKqVTStGlzGjVqwq5dO1i+/lfCjI7E23pjVAg4Wgqkbv4STCYEJ0+MdyKeOBOVH7L6XtLth3SXD2GIOvvEdkiOGgcCHf1xsXKim89TdGjYnoMHD7D75600C/bAPvEWFtaOnKnTFMu6XXF2qP7YOQ4dOsCIEW/h4eHJokXLqFo194bz5enaFzeHz0VzLiL24cdtws/Tnl6tfYmJTyZR4UyThiFsW7+IgGoOdOnUrqzNLVUq83XPD+bsvzn7DoX3P+ssvEZlYP36Xxg//iNWrFhKQpKJht3fw6p6a5QqFbV9nHCwscRCrcycSHCy0xBY3aFMZ+fL68yZrHP2BMqr7s29e/f47rs5HDx4gMjIawAEVLFl2ostcDYmgFoD+jQwGUFpka9qyOw5Zdl9L0kpjv9mztJz0HKz1xAXheH6OVK8mvH224M5d/4Mb7/9Oieqx2BUmFALakbUH4KvfXq3haio6/zwwwI2bdqIn18ACxb8iJNT3oFleb32xUHGzFlG3kZGwr/RZGL+xrNcuBaHTcw2/ty9lU2bduDmVrWsTS41KvN1zw/m7L85+w6F8z/jXpJ0P5Y7Yfu4f+0wDx7cIzg4hNptXyU8ToNKKdCzpTedGlZDrSq8HFRJUl51zuTg7AlUhD/W2NhYTp8+ybpVS/jr2HHmjB5CA4s7mOJvPNxDgUXj57Gs3+OJY2RdVuThsmLVOvVL1ffcgj+TPg39tZPozu/BcPMiKFVo+04nyajirbcGcebsKWoOaoJTraqYDEYcb1rTM7ALO3ZsZfPmXxEEgWe7duaNpxrjFNAgX8FlRbj2ReFJUhkpaXr0CoGE2zd49tludO7cjS++mFKGlpYulf2654U5+2/OvkPh/N9yOIL533/PjdObMBmN1A5pwZhRwwkJacCcdafRalQ8384PBxvLkjG6mCivwZmcc1aBcXJyonXNGgQ3suT963a8980iZo8dSV0hJn0mSqlG5RFE8p+LEKwdUPk2QXCu8UhuWk45ZdSpX6x25jXzdk2j5rKjNQEaNb5Z3tffuEjyjtmgS0Zh64JFkxdQi60RrOyIjbxGXFwsKo2aq7+exSHAFUElcHT7AbZ88wsWFha88MJLvNKjEzZHfoQL20iSdpW5zlt54El5GxoLVfqNSi3Qtc9Itvw8j/79XyEoqFYZWCkjI1OeuXnpEFEnN+JQrR5ejfrg510dd6/06vvhz9VBWYH1IssDcnBWDinIMqL+xkUsFAYmdQ1k+MZzfPDNAhbPnI6PZQoqjyAEF29MyfdJu3yYtJNbUNi5ofZtjCqgOUpHz2KR2sjLl9wS/rNKZagUAm8K1fBzD0Ed2BKlUzVUPg1R+zdD6VErU6fs5MkTjBo1DIC5MxcyZ/4MLiw6RvCwFnQe9Rx17/kTEtwANzc3UkN/J60c6bxVBG7HJ3PD4It/m6HM+GYaH3w6k0v/xsuitDIylYyMWfRmdT1x1qrzfdzhwwdZ8O0kguu3JLDtUCJuPeBOQgonL99BbzDK94piQC4IeAJllSBaUOmKjIR9S6WCFr6u7Lx6n+37/qJa/bakKq1QqS2wDe6AunZHBPuqmBLj0IcdRrCvirKKH6jUKExGBBdvLJu+gKpqQLH6nlfC/+GTa5BS72JSgMlkxCH2Fr4mCwyxUSgsNFjU6YRgVyVztm///r2MGPEWTk4uLFq0jDp1gunY/im2rvuNhKhYTP4W2FV1pKV3UxQKRaEKGsw5OVirtURhNOJgY8m5GyZu3b7LX6FXuHJXzZFzt6jp5VhppTXM+bqDeftvjr5n5Iydi4jlzxPXCcrhbztrwn/GtkuXJIYPfwOfuh1xqfsSMQkpdKhfjW7NvVi2XeJcRGyFuleU14IAeeasnFFQ6YqMdkT6Gxfx8Qhiblc9b7zxCmPGjMrcx9LSkubNW9K790s07/Iegi4ZHgY7hqgLpJ3aCoBO2o/S1Ye7XiJG37YIWkdMJuNjshQFQekugkIFJj2gwHD7CikHlqJpPRAA75hbqKxBD6gEFTVDeqL786ccZ9q2b9/CuHEfUrNVPZ4f2g+DQ7oPDg6OfPvt97zySh/s3B253/UBeqMetVL9yOdTWToAlAZt6nkQeesee+jAjdObsXYNwgCyKK2MTCUhq+K+Xv+44HRO7ZK0QiJvvz0ErdaGjj1e5macntEvBVHDzZYthyNkAetiRA7Oyhn5WWbMvuyZVTdMdIPt2/fw77+RREdHEx19g2vXItixYxt//rkHd3cPnnvuRfz8/FAoBJSCAiu/53DhAXaGBCwfRJNw9He0Xi0A0J35g9TQTQhaRxQa2/QfK1ssm76IQmWJ/vpZDLevgF6XrjGmS8VkNGDVfnD68ef3pAebACYDxujL4OqdqctWs9snjHgQxeW4KwQ4+uEZfuaxZUiAdauXMmXZehr+rxk2Xd3ZdXM/f946lFmd6eXlzcyZ8xg69DUsI4yY5r+KSUg/R1F03syZvp0COXkhEmPtLtySdlE9uGulV+WWkTEXsiruq1SPK+5nDd50aal8v2gB5y9HYbRwYd6Mr/DxDUClFBAExWPjmYOCf0lT6OBMFMUawE9AFUAC+kuS9CDbPu7AEqAqYARGS5K0RxRFNXAXCM+ye0NJkgyFtaeykNdMT34ah2u1NgQF1Xokkfu99z5gz57drF//M/PmzcrVhiouToRcmkT37k/T1Ds9R82UlIAx5T7Gu9cwpTzAsnFvAPT/nkF3ZgegAJUFCktrUFli0qehUFmk54tV8UNwcEdw8kRhZf9IQYJCqcLX3itT/sLgoXskOMVSy+LP32H+was083Kke9//sSP2JCZMGIx6LsddyTy2QYNGTJw4iY8/HsOkb75A28mNXn5dCXD0K/T1MGeUgsDEIe0Y+9W3nDz1G72faoC/p73cGF1GphLg72mf2Xc3p5wzsYYjSkHBnYi/uXPlEIl1euAW3JhGAbaI4uOTBlnHk+8NRacoM2fzgfmSJK0RRXE8MB74MNs+04DNkiTNE0VRBPaJougJ1AUOS5LUuQjnr7TkNtNTWMV+tdqCzp270rlzV6Kjb5KQkIDRaMBoNGIwGIiPjycm5jZ37sQQG3ubnTt3snPndhwcHHjqqa60b9+B+m0aYWVl9ci4Kp9G6M7tybTJqtPwR+xR1aiX+XtycjJ//7Wfo0cPcffuXZKTk0hMTCQ1NZUOHZ6ib98BWGYJThOs3Pjk6ynsD71Kez8nxj8VSIzOxO6MjgGC6rHAq1u3noSFXWLZ6qV0bPgsC88sZ3Sjt3Gzdi3IJZB5iNbKghmfvcObN0+y/KdVOLp4sv2s/pGlDkC+IcuUCOEJ1zJn1TMewmSKj4zK7Qw5iawPXlohkeRzy0g2uODXZhhWlkpe7lyLZrXd8hxPpugUKjh7OPPVBuj18K2lwD4eD842Anse/h4GaAAboDHgKori36SnG30oSdK+wthibhRHdWXVqu65quS7utpy40Yshw8fZOvWTWzevJG1a1ejVqupX78hzZq1oGvXHri7e2C4KT3MJwOMepIjz3LsXASxsXcxGAwYDHpSUlL455+/+fvvo6SmpqLRaHB1rYK1tRZra2uMRiOzZk3j559XMnz4SLp168m+U2FMmvQOSYmJDG/lywvBbihVavxrNGGEpmWuN+yu/Z9l/9/7OTRjO80+6sJ3p35kdMO3sbHQPravTN6o1RZ8/tU3fPLDcX7ecwm1xg61tRMGg5FDZ25y8Gz0I8GafHOWKQ4eqeQWVI8ITMsUPxk5Zjq9gfhrR4k+tR4Hr6a41+tGs1pu9O0UwK24ZLYeuSY/iJUChRKhfbhceVySpGoPX6uAJEmSLHI55kOgiyRJ7UVRHAq4AZOBOsA2oI4kSXfyOLU3cLXABlcyUq5LJF87h5VXbTTVxBI/X3JyMkePHmX//v3s37+fCxcuoFKpePrppxn0XFfsj63gQXIKmy7EsEG6T3TM45fR19eXDh060LFjR5o0aYJG82gVz19//cWXX37JmTNnqFq1KtHR0YSEhDBr1iyqWxnz7e+lO+F8/ucskhISOfnNPqr6eeL9cl38nbwY324kamX+y8VlHmXNluOs3HODhBtnsXX1Q2OtpWOjGuw4EoHRBIICBnStyQsdA/MeTEYmDzae387PZzZhxISgEOhTpyfP1upS1mZVWtbuvsSSDUe5enwVafdv4+nhxvLF35FotKG2rzMXI2L5ZMFB9Pr0HLWv3mxJkHfxtfIzA4pXhFYUxReAmdnevgxkj+qMuYwxChgKtAWQJOn7LJtDRVE8CrQEfsuHzZh9hwBLDwj04D5wvwRszMn32rUbUrt2Q956611u3Ihi1arlrF+/lg0bNhBSuxaXw8NJTE6hceOmfPLpV4hiECqVCqVSiVqtxtr6v1mr+/d13L+ve2R8UazHsmU/s2PHVpYv/5Hnn+/Da68NRqVScR/y7e+xiDPoDHpUNhbUfLUxZ+YdwtOvBgkdnIm4eQsHy7yf9sr1tS9hcvN9JvgMAAAgAElEQVS9Y5MgzofdJJQ6xIXvo9+A7vj6ObPreCQ8TAKu5mxdYT87c77uUP7897CohlJQgVGPUqHEw6JaidlX3nwvbVxdbXHUGIk4thL3Ot2xsqvKe30bodU6oQViYu5z5HQUOv1/1Z1HTkcVSButvFKKHQIKRJ7BmSRJa4G1Wd/LSOgXRVH5MInfHbiR0/GiKE4FugNtJEm6/vC9l4FDkiRdebibAtDldLxM+cPDw5PRo8cyZMgw1q5dw2+/baBFq3YMHDiI2rWDCz2uIAh07dqDrl2f3G4qLwIc/VA9zElz8HFl8MjhLJgxmx4ptmgbWmdWicoUjrf7tmPair+4SFsmTZnM26+/xOiXOssitTLFjq+9FyPqD5FzzkqBlJRUvl30Ez4tB6FWqXi6tT91/Vwe2UeuxixdCpVzJkmSThTFA0AfYBXwCulLk4/wcMasPdBSkqSs4mv1gObAsIeFAvWBA4WxRabgFLWRecbxWo8gBg0ayqBBQ0vAysKR/Ybu07YGJBpYsGAu8Qnx1Hu9JXWr1Kape8OyNrVColAoeK9/S3YeCWNzpDNffvkZ3br9zWeffYmlZfnuoSdT8chayS1TMqSk6hk2eT1G58a42+j4aGBr7HPohylXY5YuRanWHAYsE0VxHBAJ9AUQRfFNwAP47OHPPeDP9BgMgG7A58CPoiieJX159BVJksx3TrkUyY8UR0keXxpkv6G/+ebbODu7MPnrz9E1seSMx3mcNA6yxEYhUSkFurUMpEvzhcz9fjE/rVyGz/IfGTz4rbI2TUZGpoAs+XEBUVcTaFTbi3HD++e6siBXY5YehQ7OJEm6BrTL4f0FWV7mNu/Zu7Dnlik8hZXiKK7jy4oXXngJR0dHxn3+EXVHtGbuyR94uVYfGrmFlLVpFReFghh1Xep2GcPSFVN59tneuLjIkiUyMuWd5FQ9S7ecJuHqX6xZMZ8XX3yRsSNyD8xkShe5bbyZofIIAkENCqFQUhxFPb4s6dSpMx9/PpEziw6RkpTCknOrOHv3YlmbVWERFApe7iyisLCjWpOBzJ0/t6xNkpGRyUJYVAJbDkcQFpUAgMlkYsvug7wzfSvHpFj+OBhK1649+Prrr+XArJwht28yM4raazI/xxc1p60ksfS2wbVBNc4tPELw8BacjbmAtcpKTjouJIHVHRjcsxYLfjNx6t8ELl26SGBgxQnYZcoXsuhs8ZG9N+bol0JYuHwdMaYaGNL0iHaX+PLbL/D0rIaFhQWQWtYmy2RBDs7MkKL2mszt+NLISStK8Bfg6Mf/2TvPwKiqJQB/W1I2fdN7I8kGkkBCly6ogIKgICJWUCwIiCBioSmoVBX10URBBAUVRBEE6b13AmxIg5AEAqT3Lff9CAlJSEhd2IT7/Up2bzmz595z5szMmfHpHkzK4QROf7WXZxc8fUeiyzSJBYfjz4gTRDVp29SFpJR0/gZmL1nP97PurpyJ5Z9EKkJMOlu/lK6NqdPpWfLbNm5K/bHhJlPe7YWDnfX9bqLIXRDdmiL1SkUxafVJsfJXeHQNuf/MQnctukbn+9v68G7btxj81kvkJGewed16NHpNSa3OQ8lH+XTn16yP3cw3JxYTm3GpXtvfWOnXJQiV3U2ObV/Bvn2Vb7wuXs2v3R3L7F9PlLhbREQupsWg1WvL1M0VqT3FqS8kgCYvlb1rZ6G7sp05Y/uJilkDQFTOROoVQ8ek1Yfy52/rw5iB79C168PsWL0ZofBW/mSJBJCg1d19gojNuMTm+O2i4lYKiUTC2Ff74eHmwpdff0VkXMXFPsqv5tWX0+5xS0WMleIchVIkFdbNFakZfm7WtAl2xlIhJ+fCH0glAm8Me54tx5LERVEDQDZ16tT73YaaYAeMycsrpBZVp2qEpaUZubmFhr2JkVIX2aVW9sg9miKxdsKsVb96d2lKpFI0Fw8CAkjlmLXqh9SqdiVEwsJasGrVCjy1LriGe5Glyaa5YzPisi4jCAIyqZzH/R5FaW5Xck6x6+VC6kWOXDtBkDKgzPcNnbr0vUwmw9XVlX0XNZxMlCPNv4qqiXeZY6RSCQcjr4EgIJNJaalyIjIuFalUgr2NeSVXvjc8yO881I/8sRmXOHz1OFKJtMbvhdLcjiBlAI4Kex73e7RaLs263K80ja3vM7IL+HbNGU5cvIGVkMKx3X8wauxk/j6pIzI+lYOR12jqoyx55xqb/DXB0LJLJBIsLEwB5gHpVRxeghhzJlLv1DWmrapr12VDQ2k8Pb145ZXXWLx4PuNatcciyIJN8dt4KXwgNzIyKow5q8j1IsbF3KZ790e5fD2PbWcz+GN/Ptu3fMj4d97Gw8MTKJvI0lJhwq9bL4pF0xsJ9REzVpOks2KMWsWoL6ex8K9I8gq0tPbIY/HcyUWphLwi0MbFlrFai++b8SK6NUXuIP+KmoIT/9Q4nuteIXMJwCyiT70ogEOHDqd9+w7MnTWD49/twFZqg5nclJ6+3Ssc6EXXy92JTszgQIINcoUNUpkJN8xa8sxzz3L27JmSYwI8bHniIV9y8jSii7OBcTeX/r2OGavofg96yIEgCPy5Jw4pOgpj1rJ47jjCwlowbtwHJTFoUgli+aUGgGg5EymD7lo0yRtmIeiMtwJAfaJQKFiw4Ac2b97I3LkzOD/2Z6wHa/Eb4YfCwgKppOz6Raz3d3eKY8okUhOkUpCbmOHT5gVmz/6cZct+KZNLSazV17CoylJVuq5t8cLFkKkxyt/P0sSyzpa0hprKIzdfg14AbUE2uTEb2Ll+LdaWZnz88VSeemogcrmcAA9zsfxSA0JUzkTKoE26gKDTNrgKAHVBIpHQq9cTdOrUlUWLvmPlyuWkSDNRdnZnVPhwrE2tyhwv1vurnPIK18CuTbgWm8acL06wdetmHn20V8mxYq2+e09dlI+qXPrlFy6AQd2O5e9X15CDhuomvXQ1i/nrzuBiZ87BtZ8QGxvDc4Of5/XX38bGxqbMsWL5pYaDqJyJlEHuHoxGJi9S0BpYBYC6YmVlxbhxH+Di4siiP34gPLwrC04tZXTE65jLxaLe1aEihUvX0p2//viJhb9sonOXhzEvVSBdnCzuHXVVPiqyjJWn9MJlc/x2g8dnll8oVdW+u9EQ40n3nEri5/+isFLIObv7Z2JjY3hxxKc80bPHHYqZSMNC3K1ZCQ/q7hWplT0OzVpRYGJnkN2WDYGuXTuycc1Gks5fRqpSkJCVSCvnFne4OBsj9fHc29uYE+RlV7ITLDY5i5QCB/Ktwzh5JpKH26qMslRMY3/nD189zoXUiwgIIAg4KuwJsPMr+b4q+SvaTanX68nISMfcXHHH8VKJlMNXjyOgRyaRE2jjz/qdf/PXlnUEuQVia2vH+tjNHLl6gtM3znH6RiQbT2xi7eY16K4X4u3ty8FrR7mcdYX0ggzydPno9HpMZCbIKngXa7Pbs7TseXlajlw7UbSTuIKd2lB/u0PrilanZ8WWKNbticPB1oy0079y4uAW/DsOI0Pud8duzKpo7M/+3TDW3ZqiclYJD/LDauvmToGNb61TVDR0rK0VBAc3Z/n8H3CxceKGfRbX827SwinEKJWK+qS+n/vipLOpeSakXzmJRuGDprCAEH/jK5De2N95qUR6V+WjOvIrze0IsPNDaW6HWn2BceNGMWfODOzsldh5O3A+NYrYjHh8bLxQmttx5NoJsjU56NGjzogm1TyLG9k3WfzR1yiVSqLNEkjITuJ6znVirsWRknuDm9eus/rrn1i9+hduBudxJu08x1JOsT/pMDuu7OV67g0inJsDsFq9jivZSeRqcpFJ5bhZuhCo9K+x4mRpaYaZTnFX5c4QaXRqq+xl52lYuSUKjVbPuV1LiTm7mx793wCHiKK5URBwslMQ5FW9azb2Z/9uGKtyJro1RUQqwMfHl/fem8D06VN5Pvh1zD3ubw6uhkrxBgEAhY0zqfGH+Ze2ODvY0DXc4z637sGivjazZGdns2DBt/z668/4PdaMtk8+xk6b4+w+chIAB3N7unh2ID8/H6tEOaePxJGWdAN/D38G9x9C4OMBfHZkKtOmTaZr14fp06cfs2d/QWrqTd58cyQvj3mVE12P8eeff7Bj2hb0MgETazNcfNxx9XEj1SUZjaoQvRROXT9LRmFmSdvMZKY87vcoj3h3RafXkZqfjqPCvtqLqrvFk9a327M2bubL17LwcLLExtKUNk0s+WHRXNIuH8M99AlatO/NvrNXxQ02jQRRORMRqYQBA55l164d/PH5T3zzzUKkEik5mlws5IpGb0GrL0pvELCy98RNH0l8ciQr/4PwAEdsrcRYvntJbTezZBfmcCj+CLsu7CVZk8Kx37YxYMAgmg1oTUJeEsnnEjiyZR9N3YMZPW48P/+8jGXLlnDz5g3atGnHB6Nn0rp125LrLVjwA7/+uoJ58+awa9cO/Pz8+frr/9GsWSgAbdu2p23b9mRmZnDo0AHi4+OIjY0h7ngs+y9sJ+5wFHPmzOPzThPJ1+aTlHONpOxkknKu4m7pCkByzjW+OPI1ViaWBNj5EWDnT6CdP+5WrrUKUahOzF1NqKmyt/NEIiu2RBHsZYtV3llW/PgdObm5uDfvi2fY43QIc6NDmJu4waaRIBEM7R+sX3yBuJs3s9HrDdtuJydrrl/PMug9jJUHWXYoK/+NG9cZOvQFEhIu0feZp9B1saSzZ3t6+z1yn1tpGAzR96ULndsrtAx99RXScmD8qFfp27d/vd6rLtRG9oaaeqEiKpL/eMJJ1qjXky7JBIkETU4hkhs6hrV8gXYt2pU5dvXqX5g16zMEQUCv19O2bXveeONtWrVqU+k9Y2KiOXBgHwMGDEKhuDNurSLWrPmN6dOnEBHRim++WYiV1e3d1FqtlrS0VBwdncjW5HDq+tmiPkqPJTW/KI/eiBavEuKgIrswB4lEgqWJRbX7vj77u9hyVqzsVWY502j1rNwSxe5TSei1BcTuW0JmciTNwlryxtsTyBZs66yMPShjfkX9Z2jZpVIJDg5WAH5AfHXPE5WzSnhQHtaKaGyy13RALS9/Xl4e338/n+U/L0U1pBV2LVwYENCX7t6dDdns+8K96PvMzAzee+8dDh8+yFMvT+DlwU/j63b/V/k1lf1epF4wtPInCAKXL8eTkZGBXK7nQlIcUbmxpF24zvm9p7ipT6fJgDA0CXm09AhnYI8B+Pn6V3q9/fv38vfffzJo0HO0bNm63ttbzKZNG5g4cQJBQSq++WYhFy9GsWXLJnbs2EpaWhpKpT3NmoUSEhJKq1ZtaNu2Pan56USnx9LCKQRzuTkb4rbwb9xW/Gx9aOfdAj+FP+6WrvfUKl5V/6ZlFfC/P88Qm5SJpf4ae9d8gVQmxyv8aV575Xn6dPCr4Ko1p7GN+RVR2ftqrMqZ6NYUadTUxwSqUCgYPXocvXv3Ydr0ydyQJLGG9ZjLzejg3rbqC4iUwcbGlv/973s++2I6UalWTFu6j6nDOuDl2rBqlBo69YKhlb+srCwmT/6QvUf24NjSA+fWnlh52iFYCFxPv4S/fwD9wpoT3rwlES+3Qiqt2hXYoUMnOnToVG9trIxevZ7AwsKS8ePf4dFHuyAIAgqFBV27diMkJIyLF6OIjDzL/v17WLx4PkFBwbz66hs88shjyGQyAMKdQtELeiJvXuDXM38BYCuz5imLx2jRIgJTU1ODy1GVm/nc9Riuyk4hK4xjz9o/sPMIw7vNEBRWSoJ9HswNW7WloaVKEZUzkUZNfb6QgYEqli39lRmzpnH2QhwrhT+wNbMhxKFuueAak2usupiYmDBl0lQWLV3BvsumTP1hL1+89TDO9pb3u2nVpr5jkMpjyMkkKkrNuHGjSb6aSMfP+qKV63AxdUClCKC1awT+PfyMPq6yS5duLFy4lP/+20ibNu3p0KET5uZlN+5EJl/gr3/Xsm/ddiZMeBd3L0+ad22JlcQSfY6W1NSbpKRc41pGCjJPBaZWZmzcthJLS0tajuyGp70HjzXrQQvPsHuSSqd4LLDSueLmaMmquOXonXXIHfS802ICnVo9RVRCuhhTVgsM/b7WN6JyJtKoqe8XUiqV8sH7k/h48gQuXIvhdNoxQgbWXjlrqFnJ6wOJRMKbw16Epb+yP8GaiYt2MHPkIyitG8bOWEOX8qqPZzcx8Qpr1qzGzk6Jp6cXdi4O7Lq0lxNJp8kvyOX7xT9h6m2Jg7mSMN+ABufaiohoSUREywq/i824xPfqn9H6agkY05aeKf1YvXwFm1b8DRKwU9rj7OiEo6MTbdu2wcHBFS8vb4Q+Anv27ST6ZiIapcCSiysRTulw1TnQK/hR2qoqj6GrC8VjgUavRdBJ8LgUgE6vRSKTgkSGmbsLgZ52BHo2LAuzsdDQSu+JyplIo8YQL6RUKuXTKZ8zbtwoZn02HWsra0I7hONr413jazU0U7sheHPoc6R9tYAL2T588+Maprzz/P1uUrWp71Je5a2odXl2U1Ku8frrr5CUlIjCzRr3zv44tfJAai7D0sKSJctX4OPasJ61mliZS79benRIVeaEj+uKNq8QE3NT+gb0oqdvd+DOmKuHH+6BXq/n9LmT/HviP2IKLpHkBZO++hjrG2YMe+MNWnZoi6ulc53kKb1Z5kLeRTQ6DUhAIoU49RnkfnKkEkCQos8U3Zh1paL31Vjj7kXlTKTRY4hamCYmJsya9TVvv/0ay46txNVkHwOC+vKwV83ibRqaqd1QfDDmTT6e+gl/Ll2FviCdF59/4YFw25RWNqDiWpS1eXYzMtIZMeI10tJSmfnDt/yV/h9yiRxPnQs+Ba48PWgAcrm8zP2dnELrW7x6paZW5vLvVrhzc6Iz4pFaSKr1rkmlUsJDWxIeWmSZi78Sz7603az57Te+WfcdTWTNcZQq6RHQjVYuLbA0saiRPMUJmrU6PTKpBHNlLoKPFKR60AmoNx3GKbALTs0DIMeR9k82rdH1a8ODFGKh0+n46KPxWFqaM3ny5/e7OXcgVgioBDFj8oMpO1Rffrlcjn/rYNYs+xVLTxui8uOwMLHAz7b6FrS6lJwxBPer7yUSCR7+YWzdc4SoC6c4e9MRla8LTnbVS69QH9xr2ctnnAe4lJlQaXmlitBoNFy8qMbKyhq5vGitnZ2bxZg5Y0iVZPLOyHHI3MzwtPbgzeYv0y2wMyGBoUil0jvuH+aiIjnjhlGUJ6qIqspPlaf8u9XCKaTSd606fW9nY0fz0BYMHPgs5npTju8/TI5pPlGFcWy7vIvE7KuEO4VWOzbtQORVIuNTEYrEQZdvhi7THm2OjKjVW7HWK5n9yWycTDx5sm0zgy5WLC3NOJt8sd4rIBgz8+bNZc3a3xg6dChNmqgMdh+xQoCIyH0gSXOVoBdace6HgwQODmeNdD2uls40tQ+q9jUMYdlriMQkZeHX4VWSzmxAZmrFwrVHmTOqB6YmsvvdNINQ3qUNQo2sqGfPnuGTTz7m4sUo5HITQsPCaNI9hGSbVBRdnWih82WH5DC6OB1yqZwI57Ayz1n5+++KO8jO+INlLFPFxxmDJaU2Vuby71Z9vGsymYxBTw6mf6+nWf3bL/y2dDXyJhZku6VhflJHv35PczZbjZe1BwWZlpUmhQ3yskMmlaDXC8hkUgZ09eePnRC16Tcykq4z5X9fovJ2QOXtUKf2VpfGEGJRXcvf33//yU8//cBjE57miQF90RhhqKVoOauEB9l69CDLDjWTXyqRcjztDLaBjlxYdhS7AEei8y/RzatjpStoYymeXBH3s++lUgmHzt9AYedJUuRGzBybcuJCEjkFReVoqlvEubbca9nL17ocENiXdm6tqrSi5uXl8s03c/n000lIpVLGjHkPlzBPciIk5DppyEnJpLVJGOHBLVCnRVdqaSp/f1+lJ9Gp8SXHSyUS1kb/YzSWFENamWvT9zKZjBbNw3mm77M4aO04u+kYa9f+zopff+JG03z2XTvEnph9RMYlcvBUPk29nEqeYY1Wx99747lyPYcerTx55uEA2gS7kHB+J/u2ruGFV0bw/MB+9SZfVVS38LsxU53ap4IgsP7IBmbO+IyIkAjef/tDzMxlyHSGS5tSW8uZmIS2Eh6EpHyV8SDLDnfKX9VqrPh7RYYJn3zwIVYOtiyc/T1ubu4VHmvMuzPvd98XB0jbmxfwxVcLcGz2JHptAaZm5rw/pKVBXTv3Q/bqrvR1Oh3nzp3l4MEDrFv3B4mJVxgwcBAjRr6Dg50DsRmXWKVeyyNuXfA28cDV1bVaGehL319pZ8EnO74uOb6dayv2JR1CQECKhD7+PUsC6BsLxfK39QtDKTjV+Xrnz0eydet/RF48S6L0OsoWLlj7KBH0Ah7pwXw0YBgZOYX8b+0ZYpIyebKjL0928kMCLF36Pd988yUPPdSR775bXJKPrTby1NTSWfzsG3vM2d3atzl+O+tjN1f6vMakx/PH+b+4nJdI5vEUvhv+Nba2dkabhFZUzirhfk9S95MHWXYoK39NlanIyDO88cZQzMzMeW76cB4Kak+Iw+14hqoGEENQkwHXmPr+xzU7Wf3HWmxcm2Fh58agx1rwxEO+BrufMclezPnzkSxZspBDhw6SnV3UtmbNQhk46gUuyOLwtfFmSPAAoMgqUD43WU37/lD02Ts2KFRVXqihUvrdNpHJGRVed/lK/97aTBumL95MRtpRpPaXSdobja9LEyxbtsfM24y+TTvRO6wFer2eWbM+Y/XqX+jV6wmmTfsCE5OaW3LqsvAzxme/PFXJV9FixM/Gm72R+9kQ/x9ZFnkUZuZzfc9lZo+YRWCTotATY1XOah1zplKpvIEVgDOgBp5Xq9XZ5Y7xAc4CMbc+uqZWq3uqVCpT4AegNZAHDFGr1Rdq2xYREUNR0ziMkJAwli9fzTtjR7A3ej+ncs/RP/AJtHotgcom93x3prFb6u5Gl/YRbD0UzYVt32Bm5Yiy//dodXrkMsMnA73faDQafvxxMd9/vwBraxsefbQX7ds/hGNTd7Zd28O2rP04KRwIsrtdSqmipLE1jbEqf3xDygtVU0q/21q9rs4xVhW9a5Pf7I36cnt8nRWcabaVhYsXo0jYhn94KBtu/MLhg/+RdjKZA5t28NJLwxgz5r1qVWKoSh5jjRmri2WuKvnKp56RpukY+s7zZPprcIzwQHMoi1Z2YfQd/S4+PvVT9sqQ1GVDwHxgvlqtXqVSqSYBk4AJ5Y5pDfyiVqvfKPf5aCBHrVY3ValUXYBlQPs6tEVExCDUKgjZvwk/L1vFuA/fIbO9wBrhbyRIMZGbMDri9Xs64TWEAbsyAjxs+fSdZ9jY1JGViz9l0ZojHLqQzqiBEQ1GQavNZBQbG8PEiRM4d+4svXv34cMPJ2FjY8uOhL38ePEXlGZ2PB/8DO1cWyKTGnazhKE3q9xPN1rpd1sulVX4btc2r1rxu9bTtzv+7jakZuQTMvh5nnr6GT777FM2TFxH00fDyQ3IwEJlS+eP+/Duo+ORSCToBX2tqhEYe1qeui4UK5KvfP/42XhToCng+31LObx8J5qkPIb3fotubXrg1dfLgNLVP7VSzlQqlQnQBeh/66NlwC7uVM7aAKEqleokkAq8o1arzwBPAJMB1Gr1bpVK5aRSqbzVavXl2rRHRMRQ1DYRqJ2dkoXfLGHE5BFk6zOw8rJDoy28PWDfo4nI2AfsqgjwsGX00P60a+bC1Hm/cMbCmW9/P8GoZ4xfQavpZJSRkc5PP/3AypXLUSgUzJ79NZ0e7ka+Nh+AFk4hFOgK6O7VBVOZyb0Sw2Dcb6tu6Xe7opiz6rSvtHJQ0buWV6Dl+/XniE3OZPpr7SjIzURpZ4tMkHL2n6NYWFgy+sP3sHN34J9//iImPoZLQTcJcw+hjVsEwfZBmEirN00bewb8ui4Uy8sHMO/4Igpy8tDn6Gjl0oLLuiTSJVkUFuQTEhHGpG8n4eRUeaLg2IxL7L1+BXdTT6P7vWprOXMEMtVqtfbW/8mAZwXH5VPk+lwE9ALWqVSqpoD7rXOKKT6/WsrZLf+twXFysr4n9zFGHmTZoaz8Tk6htKN2CTpnfvE5w6eMQJevJTshnbCOAff0t3VyCmWK3RgiU6IIcQ4iyNG/GucYX9/36fMYNjbmjJ32A/A0C/86w8RXO2Air18FrT5l33v9CrriyUjQkVR4hXYVJHrNyspiyZIlLFq0iOzsbPr168ekyZOIzI5m2qHZ+Nh5MrHbaJywRuVV8yoUNeFe9n11fx9Dcrd3u6r2Rd2I5duTi9HqtMhlciZ3G8PLwcM4GH+W9r6heNv5Me3HQyRez+bFnoGs+W0pixYtJD8/nz59+tCqVStmz57NjEmflFzT3EaBR89AClsVcuz6KSxMFLT1CKdv8CN42d65wagm8lR9bt37PupGbKVjTVtJGJsubUOr1yGXymjrF4aTY83u6eQUSittMIcPH+Z/vyzi4M59FKTl0WJsF07r1eSmZJF+5Crv9H+DgbMH3rU+bEX9V53x8V5RpXKmUqmeAb4q9/FFoHxEvr78uWq1emqpfzeqVKovgKaAtNz5korOrwxxQ4BheZBlh/qV3x5nZo+dy4rffmLdplV8cGU8E2dNJ9Al4J4VllbiRCcnJxCoUi5j7vumTSOYNHIwn37zCzCQL38+yLA+YfV2/fqW3d3UE5lUDnotMokMd1PPO65/4sRxxox5i4yMDLp3f5S33hqJ4Chn1tHvuZKdhL+tL728HrknfXKv+746v8+9oiLZq2rf4fgzaHS3YtZ0Wv49dYRd/1mg1VlzfPdlTORXkEklRDjd4JN3J5KaepPuz/Sm3ROdaOPXGn9bH5o3b8O+fXvw8PDEz88PDw8vNm5cz/TJU1B1DqP5kMc4mHCClvYRaFMl/LV9HclpV+nVpichTUPrbQypj76vytKoxIlR4bctX0rBqVr31GgKUavVnDp1gorXeCkAACAASURBVNOnT3Lo8H4krqY4hXtg5WGLe2d/0AiE64PpFN4e7ye9sbS04saN7Ltet3z/HY47Uy87dstTakNAjahSOVOr1b8Dv5f+7JZb86ZKpZKp1Wod4AYklT9XpVKNoijm7OatjySABrhy65zijQKuFZ0vItIY8Lf1YfLwyXRq8hCffvsJX59ZTJMzXrzccgiODo51vr6xb3+vTzp06MRkBKbOXcqWSC0DOn+Dra1x5mKqys10/XoK48e/g42NHfPnLyEkJIzDV4/z04lVKM3sGBYyhJbOLe6ZEn+vMXY3XFXtK+/G1Gfao9XlFmX7FwQsZBIKotfw/Z7NtGrVhg/nfMqGzO3sST3MgfTjRcqLnz9+fmWtNf36PY2zswvvvTealDOJjBj1Dt/P/I6dO7bi1qsJ7l2a8G3cjxTszqaJhS9PPdSP0MD7X3qrOm7LmsQw5uXlMnfuTNavX0dBQQEWbjb4dgoidHxnBHMJlnILxr8ygdS81Fo9PyX9J+iQSSqOObyf1MqtqVarNSqVag/wLPAL8BLwbwWHdgUUwCyVStUVkAEXgI23ztmrUqk6AflivJlIY6d790exsrLmy23fImkn4e1l76A/nE37tg8xdOhw7O1rngn8fsft3GuiEzNIk3gx/KVBzJo+njfffJXnRnxB74eaYCI3vkoClU1GGo2GCRPGkp2dzbz5C1C6FynpzR1D6N/kcbp6dmwQcWU1XRiUP97Yq2PcrX3llbfCDBt2HziJXi8gCBpunlzOpbQoXvrsLfp17Ed0eiza9OrFXD30UEeWLv2FkSNfZ+qkj7CxsaVv36fo9cTjFNjq2XFhF4leKVxVZPDNue95+FhrBj/7AlmabKxNrAym0N+tv+szvvX8+Ug++GAcCUkJ9OvzNEEPhbBXXpS4O1gZSAf3toQ5NkVezXi8iijuv6RC44w5q3Wes1tpMn6iKJXGZeA5tVqdplKp3gTc1Wr1ZJVK5UHRZgE3ilJmvKpWq0+rVCpziuLQWgMFwGtqtfp4NW7ri5jnzOA8yLKD4eXXaDSsOr6GgznH0V8r5Pj/duHm6MqiRctwcXGp0bXqO2+aMfd96ULRcpmUHgG5zF/0Pf5dRxHoYc2YQREozGo/WNeH7Bs3rmfatCkEBAQSHh5BREQrwsNb3qF4f/nlTJb/vJQ3Z4wj3iIZCxMLJrYbW6tdevVFTeWv6cLAmBcSde379OwC/rf2DLkFWlo2sWbNj9O5knOJFiO7IEiKynINDHySPy7+XaO8campqVy8qCYiohWmpmVzn+kFPZFXzrF45SL2rNrCE32eRNpbiR49gXZNCFL6E6RsgoO5fZXKWnXkr+kGiWop67ExXL58CTs7O5RKe6xsbVi5eQW7ovbiEOJKC6dQ3u78OnpBz4GkIzR3CsHatH5jzo01z5mYhLYSjHmSMjQPsuxQd/mrO0AduXqCn8//Rlvz5ix4bw52dkoWL16Gh0dFe2sqv1d9Jgo15r7fcCCetbtjEQSQSuCpLv5Ya+L59KtleLd9AW9XG8Y+G46NRe1KsdRV9lOnTjB8+Mv4+vpjaWlJZOQZCgsLkUgktGzZmt69+/DII49x5Mghpi2cRstXOqOx1ONv68vAwL742Nzfrf41lb+mC4P7kYC5utSl72OTMvlu7WnyCnQ838OP77+awNmzp3nli5Go5fFl5A1UNql3N65er2fJkoUsWPgtYX3a0LZvZ67kJ5OlKYq56uHdhacD+qAX9MRmXMLb2gNTWdE7UpMKCfXVf4mJV9i8eSObNm3gYnQUwq25XPVSK+xDXZHKZaATCLYPpKNXe1o6N6/xPYqpzlhsrMqZWPhcRKQeqYl1oI1rBB5WbrhZutBiYQgjR7/OsGEvsHjx0monSTT2uJ36ROWtRC6TotMV1dpUeSsBJd26RPPfloXQ+Q1mrjjOuMHhBq/DWZ7k5CTefXckLi6uLF68FDs7JYWFhbdKLu1n06YNTJ8+hRkzpqFUORP2dkeszGx4KuAJWjo3r7YbypjiC2vqxmroaV0qYv/ZZJb9q8bOypQPhoQx49OxREaeYebML/FvE0xMqYVTaVdufSKVSnn99RE0axbKhx++x7mNJ2jXvgMdenbGsakb/g6+AFzNSeGr4wuQIMHZwglbMxui02PRC3o2XdpWZYWEuvbf3mP7WLn+Zy6lXcbS0w6Hwf48bBXKULdBZGRkcDj7JDl5ufhaeDLo4UGYyetW79KYLbXVQbScVYIxWxAMzYMsO9RN/tquLlNybzD3yP84v+ooOVFpLFz4A4GBRWWf7uWEbOx9X1x7s0gxo8TNee38ZtITI2nWYxTjX2hHoGfNNwnUVvbc3BxeeeV5kpKusHz5avz975y0cjV5HDp/iJPbjnBBfZ4n33mWR4O61yiuzBBupdLURv66xpwZC7WRXaPVM3XpYWwtTXmrfyhLFs3jp59+YPLkaTz99DPAnfKWfn4NUSc2MfEKq1evZMuWzSQnJyGXy2naNASFQoGJuSlydwVyZzNMHRXkmBWgM9GTfzOXwvQ8ApX+pNnlotCb4WzjhJvSFVszWx5ya42tmQ3pBRmcuh5JcvZVvGw88bRyA8Dd0hUTmQlXc1K4nHWFXE0eGYWZZBZmcTUnBYtrMg6u2UW2j7ZoZyVgLbfC184bL2sPevv2MIg7v7pjsWg5ExF5AKjt6tJcboaTpQPZzzQlZUc8Lw8bwtQ5MwgIDqrx6s9YJ8DqUL7t5f8P8LAtmdQ2HIhHq9MjCOAS/Bhu1hqO/P4ex/0+JPDZIWTmFpKSlldmMqxqcqzpb6fT6fj44wlER0fx7beL7lDMimNliieJaaM/qnWgf1W74e6HpaCu5aEaIjn5GuQyKWYmMgZ2a8KVlGzW/LmOn376gUGDhpQoZlBW3vIxk+Ofi6h3Bc3Dw5OxYyfw7rvvExl5li1bNnHhwjkKCgrIzs5Gk1xIRkYG16+nIAgCMjMZgl5Ar9ET53kW105+mCkVJNskc+FmFDKFCcc37kd7o4A0ZS6FIbc23ZTKrXDzlxjcbdyxbunEDfdb6SsEEPJ05KbnELlwPxKplIFdhvB4SB98lN71HjdWEQ3dUisqZyIi9Uht3Yw2ptaMjniDhaeXwcMgczLj4/fGMei9oWitq59VuyGb8su3vTiAujJZyro5ZYwd/zHz5+Yxc+Z0EjJMiMlyQqsX0OsF5DIpzz0SyK9bL1Y6OUbdiK32b1dQUMD69X/y009LSUi4xPjxH9GxY+cyx0SlRfPHxfUkZieXxJXVZQdmVZNNQy7V1VA4EHmVX7ZG4e9mQ9+Ofiz8K5LM65dQb51D05Bwxo//oNJz1ZfTShYTOp0e9eU0g1jPoKjOamhoGKGhFecBLCwsJDk5kaNRx4lNiaNVUBietr7Y2dmRl5fLyZMnOHn0OMdPHePY1atYWVhh42yHTYI95hbmyORy5HI5JnI5zjbOxMXFkHx0H5hK0OVrEAoEnDyc0dpL8OoVjGtrb1oEtybUpZlB5K2Ihh7yISpnIiL1TG2tA6YyE4Ls/FGnXcQ+xBVNRj6/ff4jzV5tj02AfbVWfw15gi7f9pMpp+8qS4CHLeOfiyhjCZsx40s++mg8q5d9SWivCWBijUQiQafTc0ydctfJMTIlqsrfrrCwkBUrlrFy5XJu3rxBSEgYX375LQ8//EiZ465kJTHvxGLszZUMC3m+RnFllVHRZFNV+SCR+mP9/nj+3B0LwLlLaTjYmJOXk0HMnkXIzCzp/9IETEwqj5OqOGby/mBqaoqPj19JbGt5156Pjx/9+j1do2tqtVquXk2moKAAb28fEnKTymxWqs7zWN9W/4ZsqRWVMxERIyLIPgCTS9vR6jW4hHujOZ7F+aWHGDrxbXp26lXlQNOQJ+jybQ93bk50RvxdZSnt5gRQKBTMnfsNS5YsZNGSaQT1GIu5jSsSqZRWKmeiEjIqnRxDnIPu+ttpNBref/9ddu7cRocOnRg69DVat25XonTlafOJSY8j1LEpntbuDAsZQphjSL3mKys92VRkJW3IlgJjRafXs2ZnLJsO307FKegF0m4kE7XtSzQFWYQ89h6tQu9e+qeixURjQi6X4+l5e8dxTS1XDdnqbwhE5UxExIgoP6BZdjBj0tbP2HFoO0+36V/j8xvS4FZR292tXGssS/HuNZUqmI8mfoxn21ewdArE383mrpNjkKN/pb+dXq9n6tSP2blzGx98MJHBg1+4/V2puLI8XT7TO3yEtakVrVzC72hbfVoGKrKS9vTt3qD6vCGQkV3IntNJtAxy4nTMDfR6gZybMfyxYQlyQeCFdz6nV48u1VK2yi8m7jX3Oh61KstV6fY0ZKu/IRCVMxERI6P0gJavLSDUJxS1UwxT/vuMz5/6BHvLu7tDGrIpv3zby/9f1eRS+vuuXbuzYvlKhr36Eo4+EdhbtsXKqvLJURAETm47zIYNf9GpU1ccnn6Gm2QQlRrNjmX/snnDP4wcOaaMYnYh9SJro/8hMTuZJra+DAx8stJg5/q2DDRkK2lDIPlmDq72FtjbmDPttXbYWZkRnZjB6t//4M/t3+Dh4cG33y7C27thvGu1ef4MqcxVFGMqPs+3EZUzEREjxlxuxqh2r7Pov+856aRm6t4ZvN1mOCr7APR6PVu2bOLPP/9g8OAX6NbNOBJ6GoqqJpcKv/fzZ/asL3njjaFMnDiBt8dN599DCbzWpxkW5reHv0uX4njrrU85cOAAbm7uzJs3lwULv8OhpRtIJSTvi6P/c8/w6qtvlJyTXpDB/079gJ2ZbbXiyurbMtCQraTGjCAI7DyZxC9bohjcIwBH+Q3U6guo1ee5cOE8kZFnaNOmHXPmzDPauq4VUdPnz9BuxvLtydHkiM9zKUTlTETEyJFIJLzZ83U+nTeVOOdr/HxiFY/KO/K//80jKuoCCoUFBw/uZ9CgIYwd+z7m5vc2Aeu9oqrJpfT32lLft27dlnHjJjBr1ufYhjbnqqmMT35LYFzfh7mRns2PS39g17+/olCYM3nyNPr3H0BMzEVmLZ7FsR0H0Gv1uHbwpf2gbmQUZnLy+lm6eXbEzsyWt1u8ShNbX0yqEVdmCEtXQ7aSGiOFGh0//6dm35mrhPk7sG/TT6z9fQUANja2qFTBvPXWKIYNG37X4H9jpKbPn6HdjBW1R3yebyMqZyIiDYQPR3zEsNdfYkv8Qf5JW4F3gC8TPp/KU937M3/+PJYvX8rRo4eZOXNuSQLbxkRVk4tC64JeLwGJgCBIUGhv1yl97rkXOX3lLNc8o5CbyMjIv8DrH28n8cReNHkZ2Hu3ZOG3cwjycS+6V6CKDydOZk7Xb0mPu45jiDspeTeYemAWgqAnzKEZDgolwfaB1W6/aOkybpJv5rBgXSRXrmfzZEdfbDRxjP18Bc8+O4ShQ4fj4uJqsILitaUmbv6aPn+GdpuL78PdEZUzEZEGgomJKbO/+IrPPptKly4PUxAi5eC1Ezhec2XMu+Np374jkyZ9wODBT2NhYUlR9Q8BS0srZsz4koiIlvdbhDpR1WCedd2SwgttkFqnImTZk2VpCQFF30kkEjo//QjrozdxZftFknbFoMkuxMo5CN/2r2DrqiIpQ0JQufu922kE27x2E50Rx6Grx2jtEk5f/144KGqXBkG0DBgvGdmFZOYWMuaZFrjb6nnmmYn4NVHRrNNzZOsscDVCxazGbv4aPH/3QnkS34fKEZUzEZEGhKurG99+uwiArMJs8nT5rIvZyImUMwwJG8Dvv//FypXLyc3NASRIJBK2b9/CtGmTWb16ba1cMcZUceBug7nKW4lsnwO6HGWFqTK8zT04v+QwGdE3sA1yQqYxwdGvNwo7D2QyKWFNHO+4pqeVG9EZcXhaufFUwBP3vTi5SP1SUKjjbFwqvZysCfZRMvPNhzCVSxk58g1ycnLx6jSYv/cnsPFQokEy+teFmrj5a+uWrMluS0OMDcY09txrROVMRKSBYm1qxWuhL3Ls2kn+uLiemUe/4eVmgxk16t0yx7Vv/xCjR7/FihXLGTr0tRrdoyHlHrpbHqnk5CSmjJ5AzuV0nh3zMi1DWvHvynUci1mOvcqV/u1f5a/dMTzVxYcLGWc5dSOS18NeQiFX8EGbd3AwVxqdS0ukau5WruvK9WwWrDvLtdQ8wpu6IAPMTGSsXv0L+/btpu+zI0iSutyTjP61oSq3o6HdkoYeGxrS2GMIROVMRKQBI5FIaO0aQVMHFf/E/kegXdEAnKfNw1xmjkQioUuXh+nWrQeLFv2PXr0ex83NvdrXb2i5h/zdrCnMSEBWqCc7W4alpSVq9QVGjXqdvLx8FixYQps27QEIDFIx7/hCNDotR/S70KcmcXxPMoJpDl7WHmQVZmNrZoOjwv4+SyVSGyqrZSkIAntOJ7NySxQKMzljn22Bq4Ml169nsfPASWbPmUF4q4d46cWXmLPqpFFk9K+IqtyOhnZLGnpsaGhjT30jKmciIo0ASxMLnlUVJakVBIH5p37EVGrK04F98LBy4/33P+Lpp59gzpwvmDv325Lz9u7dzapVKxk2bDgtW7a+47r3O5eWIAhcvZqMq6tblZarS5fi+eSTiRw/frTkM3NzBTqdFgcHR5YtW0lAwO2osotpMegEPRKpBEEiIHOLhnxbdDGt6NCmE7ZmNgaTS8TwVFbL8seN59l35irNfJUM7xuCrWWRq//0xUQ+mDAGpKZIfPsjkUiMPqN/VW5HQ8Z0GXpsuN9jz/1GNnXq1PvdhppgB4zJyytEEAx7I0tLM3JzCw17EyPlQZYdGr78AgIanZaj106wI2EvmYXZNHNvioWpglWrVhISEoZcLmfKlI+YP38eiYlX2LDhbzw8PAkPb15GdqW5HUHKABwV9jzu9+g9XbnqdDpmzpzOhx++x+nTJ2nWLBSl8k4rlk6nY8WKZbz//hgyMjIYO3Y8vXv3pXnzcHx9fVGpgvn00xllkoUW6ApJzU/jfGoUgqAHJMRvOM+bLV8hN8+ZrceuYGNpip/b3RW06MQMDkReRSqVYG/TsFOYNPTnvjxSqYSDkddAEJDJpDzZyQ97G3PSsgoI9LTlpV7BKEyL7BMKhQlvvjWC5MtqmnR+E4WtO052Cto3cyXIy67B921V1KbvDT023Kuxx9DPvUQiwcLCFGAekF7t8wRDazn1iy8Qd/NmNnq9YdtdvhDsg8SDLDs0HvmzNTlsjNvKnsQDyCQy3gx9mQ+HFykwxRsG3nhjBE8++RQTJozl6NHDjB07lhdfHH5XK9W9CNLNz8/n44/Hs23bFrp3f5TDhw+Sn5/H4MHP88YbI9HptFy4UJQUdMuWTURGnqFbt+589NEUnJ1dKr1uRkEmexIPsPvKAaRSKa+GvEBsRjxe5m588Po76PUCq1b9yf5zqXRq7o6FuRxBECr8PSpzmzVUGstzX5roxAzOxd8k6UYuLYOcaNu04mfj11+XMnPmTLxbPYNz0MPIGkF/1oTG2PfVxdCyS6USHBysAPyA+OqeJ7o1RUQaKVYmlgwK6kc3zw7sSNiLv9KPjz6awrjp79KxXVfGv/MBrq5uACxYsIRp06bw5Zdfcv58FB98MLHC7Of1EaRblXKXkZHOmDFvc/Lkcd5770NeeOFlUlNT+e67r1i5cjm//fYrhYW3V7oeHp7MmDGXnj0fr1SpTMq+yqb4bZy4fga9oKe5YwiPeHeliZ0vgcqigtVff/01AwYM4N0PJjH2vY+wMJdTqNExd/VJOjd3p2NY2TxXFbnNij83VjfYg4ZcJuHw+esk3cjByU5RoXK2d+9uZs2aRe/efRj29jiiEtLF/hO574iWs0oQVxIPpuzQuOXXC3qm7p9FpiaTdq6t6O7VGRdLZ6Aovmv16p+YMWMG5ubm9O7dl+eee4GgoNsJbTfHb2d97GYEBAqu52ByUkP00fMEBTWlc+cudO7cDQ8PzzL31Gg05ObmkJ2djfraRX4+tRpBJmBiZsprES/ha+tNcnIiCQmXSUi4zH///Uti4hWmT59Fz569y1zr3LmzrFu3Fjc3d5o2bYZK1RSlsuJA7VxNLjpBj7WpFerUaL4/u5z2bq3p4vEQzhZOdxx/M0fD86+9y9XzWwGwtVPi7umHjao/GhNH2gQ783IvFRbmRdUAii1nxQHjzz0SyK9bLzZYS1pjeu51ej0bDlxi/b54rC1MGPZ4U0L9Hcrs3vRzteKvf7cz67MP8fDwYMXPq1AoFPe76feFxtT3NcVYLWeiclYJ4sP6YMoOjV/+qznX2J6wh0NXj6PVawl1aEpvvx742njj5GTNgQPH+PXXFWzY8Df5+fmEh7ckJCQMd3cPpLYmbLy8laT9MdyMvIpcbkKnjl2IiYkmIeESAC7ubmgFLdp8Dfm5eRQUFFS7bVKpFG9vHz7+eCpt2rSr8vjyVji9oEedGs2B5COcuhFJZ4/2DAx8EkEQKNRrMJNVnudt5+lklm84S+rl4xRmX8fDVocZuRw/fhTP5k9g49cNpbUZw/uGEORVZFUsPdmrL6exdncsggBSCTzVxZ8nHvKttuz3m8bw3Bf3h1wmZfX2aNo3c+H5x4KwNDchOjGDWb8cJzMllvSEY+RePUVm+k3k5jaE9nqficMfbVDKdH3SGPq+thircia6NUVEGhh1jflytXRhSPBA+vr3YveV/exOPEB6fgbYQEZ+Jjbu9kya9CmjR49l3bo1bNiwnrVrfycvL7fkGhbWlgx8cQhvvvQWjo5FVqhLl+JZt+VP1u/5B6nUFAuFFQ97P4qHgzsWFpZYWlqSI81jU+IOdBoNggYeduuI0sQWV1c3vL29cXf3qHai3PIu1nCnMC6kRpGlycZCrqCDW1vauRbtQJVIJHdVzADCmjhiYmKCo2+bMjFHZ86cZsSI18i7GYNlp+Es/Ossb/UPJdDTjgAP2zITulwmNdrUC42dqIR0Zq86gV4vIJdJeamnim4RHgBcu3aVRYuWcWrHRgqyUpBI5XgGhOMQ0h8bt1DkJmZGl8dM5MFGtJxVgriSeDBlB+OW3xCJGbV6LRIkyKQydl7bxe+RG/C29qCFUxjhTqG4WjojCALp6ekkJyeSnp5GRETrCl1Apd2eUiT08e9JT9/ud8hQrFwCtVI087R5rLrwJ0dTTgIgRYK3jSdKcyUtnZsT5tAUE5lJjRRZJydrDpy8UmHM2IUL53n99aEU6OUEdH0bK6UbI58Ow9LcBH/32zs675b01Ngx5ue+Ki5fy+Lr30+Rnl0Ui1hsuQywz+frr2dz8OB+BEHA2jkQB7/2OPi05MXHm/Pr1ovodHrkcinvDW5Ybuj6pCH3fV0RLWciIiJ1xhCJGeXS28NAjyad0OQLnLp+lvWxm1gfuwkvaw8mtB6NUqnExtYGmVRW6bWqk5uoOPdSTRXNqzkpHLt2kovpscRkxKMX9ABIAJlUzoDAJ6tVW/BulLeEFRMc3JShY2Yyf/b7XNgyh6Bub7N+nxUxSZn0budDv06+mMhllZ4vYhgKNDr+3hvH5sMJKMxkyKQS9Pqi1BmS3ERee/9dTE1NGT78Lfr27U+B1LaM8uzpZIX6chrtm3vgYGlyv8URESlBVM5ERBoQhk7MaK+w41Gfbjzq0430ggxOXY8kLT+9ZJfil8cXoNVr8bb2xMvaHU9rd9wt3TCXmwE1y0pemaKZq8kjKecqidnJJGYn0cWjA57W7iRmJ/Nv/DY8rdx4xLsrIQ7BAMSkx1V4r/pQZEtbwjq3C2fnY+M4v3Ue6m1f06f9TFzDfNl48BJH1Sm82FOFQpn1wNYCvNcUanRM+eEwKel5dG7uxqDuASTfzEV9OQ191iU+mzwapdKexYuX4e7uUXJeaeW5WJl+kC1HIsaJqJyJiDQgDFGSpbTrz8kptORzOzNbunp2KPlfEATCHJsSlRbDqetn2Z98GIDWLuEMDRmCIAj8fP43bEytsTBRkJidTGp+Gp5W7rhaOqPVa7mQehEBgTxtPtmanCKlTxCQSeXYmyt5f/dUcrS3Y9ss5RaEOATjae1OmGMzZnf5BIW8bELQADu/CuWqqyJbUR6zV18M4VDHtziybj1ffvYekydPY9zgbvy8Wc1X/+xA0ewYAroHshbgvSA6MYNT0TdoEeBIgIct3SI88HOzLonvC/CwJTXxPKMnj8HFxYXFi3/CxaXyvHciIsZKrZUzlUrlDawAnAE18Lxarc4ud8zfgPetf2VAKNAGOAXcBGJLHd5KrVbratseEZEHhfosyVLe9TfFbgxK7kwzAUVB9b18e9DLt0dRDFpBBglZiZjfUpYK9Rpi0uNIK8hAJ9x+lR/zeZh+TXqTry1gwemld1y3qTKQx/0fw9XCiRiXFjiYK3G3csXDyg1bU5sSq52pzASovuuprops+TxmB+POc1S7Hq1ci/ugJijtbJky5SNGjhzDJ0NfY/7+dcTodQgIaPVa1KnRonJWj5yNS+Xr306iF2DT4ctMGNKSXu28yxyzc+d2Jkx4F09PbxYt+rFks0pj4V4kgBYxDupiOZsPzFer1atUKtUkYBIwofQBarX6yeK/VSrVp8ABtVp9VKVStbr1d8863F9ERKQWlB7gy7v+IlOi6ORU9YQmkUhQmtuhNL+dqNZMZsonHT4oSVuRp80jT5uPuazI5amQmzO+9UgkSDCXm2MhV6CQm5eJeRuseqpeZa2LIqvyVpbZfSm1SUV7o/i30tHvtWewF2z47ruvSUy8wnMjX2H+mRPo9FoEQcquvQV4S1IJ8a1+4fSGvKHAUGh1enadTOL3ndEU7wPT64Qyuyv1ej1Llixk/vxvaNYslO++W4y9feMqWG+IzUAixkutlDOVSmUCdAH63/poGbCLcspZqeNVwMtA2K2P2gBOKpXqKKAFJqjV6l21aYuIiEj1KT/ADwx8sozrL8Q5iNj0uq3Oi9NWmMlMsTO7rWDIpDJ8bbzvcqZxEeBhW6bwtdQqknHXjAAAFOZJREFUncOp+0p+q2CHIHp91gMvL28WL55PQsJl3vnkfRI1KQiZ9uyIymXuqpOEBzgysFsT3B0t73q/+igH1diUO0EQmLnyODFJmfi4WJN4I7sk4L/YlZmTk83kyR+ybdsW+vTpx8SJn2Bu3vhqYRpiM5CI8VJby5kjkKlWq7W3/k8GPO9y/CRgtlqtzrz1vwCsA76gyNX5r0qlClWr1Tdq2R4REZFqUH6Az9HklHH9AeLqvBRld1/aVugmHTFiND4+fkyd+hEfvzWOb79diE9zPx5ppuO/Iwn8c+ASk344xMinwogIqtwqWVE5qJooWI2l1qcgCJy7lEZTHyVSiYRuER488ZAvLQIciEnKLFE+m7jbcOLEcaZPn0J8fCzjx3/EkCEv3rUubEPG0JuBRIyLKpUzlUr1DPBVuY8vUqRglUZfyflK4DHgteLP1Gr1olKHnFCpVIeAjsBf1Whzcc4Qg+PkZH1P7mOMPMiyQ+OVv60kjE2XtqHV65BLZbT1CyPI0Z92FG0E+PPcpiK3HAI6QUdS4RXaldok0Nipqt+dnEJLfqvSvPLKEEJCAnn11Vd57rkBREREEBwcTNOmTXl/YAgXrsnp1MoLC3MTYq6kY2dthoNt2Txx7Zt7sH5/PFptUd6t9s09avQc7jydjK6UcnflZi4Phd9tzVyRfPfvuRcEgb92xfDXnlhupOfxwctt6Njcnf7db7fJ2dmG5oFK1q5dy6T3fuL8+fPY29uzcuVKOnfuXKf7G/s77+QUyhS7MUSmRBHiHESQo389X9+45Tckxih7lcqZWq3+Hfi99Ge33Jo3VSqV7FYQvxuQVMklHgf+VavV+aXOfxHYr1arY259JAE01W20mITWsDzIskPjll+JE6PCb1t/lIJTGVlDnIOQSeWg1yKTyHA39Wy0v0V56trvvr7BLF++mh9+WIRafYGVK38hPz8PgL5PDeGxlh+TLZUyZ8VRrqbm0jHMjd7tvHFWWgDgYGnCe4Nvu1EdLE1q1B5PBwtkMincipHzdLCo0fn367nX6wUOn7/Gur1xpKQV/V4yqQRBqytpT35+PgcP7mfbtv/Yvn0LOTk5qFRNmTx5Gr17P4FCUTNZy9NQ3nklTkUxoQL12t6GIr8huIdJaGtErdyaarVao1Kp9gDPAr8ALwH/VnL4Q8Cecp+1uPX5iFvxaBEVHCMiImIA7hYkH+ToX++pOh4kPDw8mTx5GgBRCWl8tmQLSee2sv7PX0i4HMc3X81j1IDmbDp0mT2nk9l9Kok2wc488ZAvXs5WdUpiWz5GzthdmsXuV4C/9saRV6At+U4QBKIup3Lj8hnWrVvD3r27ycvLxcbGlh49HmPgwGcJC2vRaF2YIiJ12a05AvhJpVJNBC4DzwGoVKo3AXe1Wj351nH+wD/lzv0U+FGlUp2lyD36klqtfjDVdhERI6M+U3XAg7v9/+KVDOQWjni1GoyFnSenj63mxRcHMW/efF7sqaJvR1+2HElgx4lEWjRxxMvZigKNDqkETOSVV2G4Gw2hQsHla1lsP57ImdibfP56e8xMZIx/LoKbmfnMWXWSwvxcrl86xILdM0hKvIxSac8TT/SlR4/HaN26LSYmYiZ/kcZPrZUztVp9CehWwecLy/3/eAXHZAIDa3tvERGRhsGDvP2/dCoOV1UXXh3YhTmff8jAZ/rj6xdIcFAANg7u+Fm5o7Qu2si+/fgV/j14mfbNXOgY5kahVkdUQnqDsITdjZx8DQcjr7H/bDJxyVmYyqW0a+ZCQaEOMxMZ9jbm2FqaoDI7x+o/llCQn0toaHOeGfIa9t4RhPg7Vyh/Y9udKiJSjFghQEREpE7czTL2IG//L+9mBPDvPp7EyP9IybzK9X37yEgr2qD+7z9/Mm/uHAI8bAn2UbLzZCJbj10puZaJvGj3JdBglJHcfC0FGh1KazNS0vJYuSUKb2crBvcIpGOYK5bmty1g8fGxTJ78EadPn6RLl24MH/4WCnvfot2nVxLYeCjxjt2njWV3qohIRYjKmYiISK2pyjL2oG//L+1m3HAgHpm5HV4tByGVQFNfJWcuJpNycTdJp/9i7KiXWTR/ISP6h5KTr+HHDec5cbFIedPp9Py/vTuPkqo88zj+rapuuxt6A2lkE0HUF9BGhEYFFDVxieAJzijjgmASY2JGnXGMepKox4hH4wkuOW5RY4Q4bhMXXKKo47jgFgWlERUeENlXWaQRumm6q+aPewuaoqu7ml64l/59zuEc6r23ut6n3nurnnrv+773w7mree/z1dTGE2TFIlx34ZDAJSPrN1fyxTcb+WzBt8xbuomRpd35yZn96dOtgFsuOZaeJbsGRicSCWbPW8Yzzz3L/738GLm5udx662RGjz6LSCTCKx8taXBpkeYuPSISZErORGSvNdYz1hr3Ag2r1DsODHVdWbB8Mz0Gnk5RSV9WzZrK+PHjuPba39KlSwl5W1ezfuFXJIhy0GHDqamNU+vPUq+pTTB1+jxOOaYXgw/rwoFFbb/oaiKRYGtVDfl5Xg/Y5KdmM2/pJgC6FudxWtnBDBvQFfAWJu5Zks9z/3iDp56YyraK9az/di3V1dsBKO45iMm3/4FhpbuS99T3K9n7mOl2kTBTciYiey2TnrGWnmAQVvXNpuxVku8/HkpB1tlcd91VTJp04x7PrVo+g9GlvyMrlkVtbQIisLWyhif+dwGRCPxgSC82bK7ijZnL6X1QPt0O7MBBnTrsTJxawrrvKlm6Zgur1m9l8eoKlqzZQiKR4E9XnkAkEmHIESX0LOlIBCjr35XDe+26tVcikeCuex/gv6fcxwEdOpN/4CGUHjuYtdsOILewB0XdHOu+330SRGOzT8M2O1WkKZScicheU89Y06TOpky9A8Ejj/yNOXPKycnJpaioiOLiYhYtWsTNN1/PpBuu5IdnjGXEGRM52vXisJ5FfPtdJTnZXlKzZuM23i1fSXXNrvXAO+ZmceU5gzji4GIWr65g5vx15OdlkxWLkh2LkBWLMsSV0DE3m6+Xf8cH5Suoqq6lYmu1929bNb8+bzB5OVm889lKXvtkGQBdinIp7duZPt0LiScSxCIRDulWwN/f/pqa2jjvlK/aOQassrKSSZNuZPr0f9Dp4CH0Pm4C2dk5jDq6Bx98sabBnq/GZp+GYXaqyN5QciYizaKesZaTnX0AZWXH7lZ2zDFDePrpaTz44H089tijzJ75PqNGncywYcdRVnYchcUHAXBk387cf/Uo1m6sZN2mStZu2sbCFZuZ8/V6otEIazdu481ZK6ip3f1mLv16FtExN5uvFm/g2XcWEYlAQV42hR1zKOqYTXVNnLwc6NujkKxYhJraBJu3VnPSMT13JkaJRIIZH81m5VdvUvndKqLRGHevfoMBfbvy/vszMJvHBRN/xaLaQTvvjTmitDsjSrur50ukHpFEonVX2m9hfYDFukNA62rPsUP7jl+xBzv2uXM/Z8qUvzBr1idUVGwG4NBD+3H++Rcxduy/kpOTs3Pf+mYz9utRSPWOODXxODU1cXbUxinOzyErFqW4UwfWrttCdlaUaD2Lu77y0RKen/ENiQREI3D2iX3pzApeeukFZs78mA0bvMkLWTkFQIKsSC3V1dspLCxk0qTbGTXq5MAufRGGtm9N7Tn+NrxDQF9gSabPU8+ZiEhIlJYO4q677iUej7NgwXxmzvyY11+fzm233cxDD93P+PETGTfuAgoKCvaYzThvyQa+nPsZn3w6hx+dfionDtv9HqHZWbGdl0jrkxyAv6N6OxuXf8rDH97JsqWL6NSpM8OHj+TYY4/noEOOYmNVzs7kK5FIkEgkiEa9OwHoMqRIZpSciYiETDQapX//gWQV9KRTv5Op2byYN15+knvuuYuHH36AI48spXe/gWxZ15HoAflsXlHOna+X893GdQC88syDuAGDGHfOOZx++pkUFhYCDS/qWpBVRe/4LKa/9hzfV2zi8MOP4Iqrb6Kkb1naRWIXraoIZE+ZSNDpsmYa6uZtn7FD+45fsYcn9vouW9ZsWcmLLz7PnDnlLFgwn5oa736VsViMwwYMpbrgSPI6H8LmFeVUr/2Mb9d4A/w7dOhAQWExW7bHyMrJJ6+wK6NPGUrZoAEkEgmef/4Z3n33LeLxOCNGnMBFF/2ELgcfyR1Pl6ddBDZMi8SGre1bWnuOX5c1RUSkxdS3COuY4QPp338gAJWVlcyb9yVr1qzm+ONHsrEyxuSnZlNbG6eg9Edcc+tvWLRwHm++/Q45ke2sW7+RBYtXsaOqgvWLP2bKgneZ4r9Wp06dmDDhp5x77nn06nUwgBaJFWlFSs5EREKosUVY8/LyGDKkbOfjzrDH7aSmfbqdmo7HkRWLctmEUh5+YS61tXGi0Qi/HN2HVSuXsXDpWs487RQG9Clp0utrkViRvafkTEQkhPZmEdbU20nV7dnasq16j+Tt4elLqantgj375R6XJbVIrEjrUXImIhJSzZn9mNqzVdqvCwd2zE6bvNV3WVKLxIq0DiVnIiLtUGrPVv8+nXcbGK3LkiL7jpIzEZF2qqGeLV2WFNl3lJyJiEi9dFlSZN+I7usKiIiIiMguSs5EREREAkTJmYiIiEiAKDkTERERCRAlZyIiIiIBouRMREREJECUnImIiIgESNjWOYsBRKORNnmxtnqdIGrPsUP7jl+xt1/tOf72HDu07/hbM/Y6fzvWlOdFEolEy9em9ZwAvLevKyEiIiLSBCcC72e6c9iSsxxgGLAaqN3HdRERERFpSAzoDswEtmf6pLAlZyIiIiL7NU0IEBEREQkQJWciIiIiAaLkTERERCRAlJyJiIiIBIiSMxEREZEAUXImIiIiEiBKzkREREQCJGy3b2oVzrlbgFoz+3092w4A/gqUAZXAhWY23zkXASYDZwFx4FIz+6Dtat08zrnewONAV8CA8Wb2fco+LwG9/Ycx4Ci8RYDnABuAb+rsPtTMQrEwcIaxHwJ8ASzyi9aa2Rnpjoc2q3wLyDD+7sAUoBve8X2Nmb3lnMsmhG3vnLsQuAHIBv5kZvenbB8MPAIUAjOAy8ysJpP3KgwyiH8scDMQARYDPzWzTc65i4HbgbX+rq+Y2fVtV/PmyyD2m4CfAZv8or+Y2f3pjom2q3nzNRS7H9/UOruXAJvM7Kj9od2TnHOFwIfAWWa2JGVbYM/7dt1z5pwrcs79Ffh1A7v9B7DVzAYAV7HrYD4HGAAMBM4GpjrnwpTsPgA8YGb9gVnAjak7mNmPzWywmQ0GpuF9aM0CBgEfJbf5/wL95Zyi0djxkq8n68R3hl+e7ngIk0zinwy87Lf9BcCTzrkYIWx751xP4Fa8278NBn7hnBuYstvjwBVmdgRegnKpX57JexVojcXvf3n9GRhjZkcDnwO/9zeXAVfXaetQfUFn2PZlwPl1YkwmMOmOiVBoLHYzK6/z+T4CLzm9zN8c6nZPcs4dh3fLpCPS7BLY875dJ2fAWGAhcGcD+4wBngAwsxlAiZ9VjwGeNrO4mS0AluEd4IHn936MAp71i6YC4xrY3wEXA9f4RcPw3odZzrl/OudOasXqtqgmxD4MOMo5V+6ce8s5V+qXpzseQqEJ8U8DnvT//zWQC+QTzrY/FXjLzDaa2Va82M9NbvR7SfPM7J9+0VRgXFPPkwBrMH68XpXLzWyl//hzdvWYDwMuds7Ndc497pzr1Ga1bhmNxQ5eIvI759znzrn7nHO56Y6JNqt1y8gk9qTfAu+aWfLej2Fv96RLgcuBVakbgn7et+vkzMweM7Pbafg+nT3w7uWZtBro1UB5GHQBKup00TdW9xuByWZW4T9OAC8Aw4FfAf/jnOvSWpVtYZnGXoX3q2oIcAfwgn9JM8ztDhnGb2bPmVnyMs81wGwz20w4276xNku3vannSVA1GL+ZbTCzaQDOuTzgN3htnNz3Frwe0+XAfW1R4RbUYOzOuXxgNnAt3rlejPd5F/bzHDKMwTlXBPwC77J23X3D3O4AmNnPzey9NJsDfd6H6TLcXnPOjQPuTimeb2anZvD0KN4XUlIEbwxOuvJASRP7QnavO6Spu/+L6XTg58kyM3uozi6znXMfAyOBF5td4RbUnNhTxh++6pz7A95l7FC0OzS/7f2/cRXwS+AkCE/bp2iszTI9xyGgbd2IjI5Z/0t6GjDHzP4GYGb/Umf7H9k1BjMsGozdH0c0OvnYOXcn8CjwakPPC4lMP6suAl4ws3XJgv2g3TMR6PO+XSRnZvYM8MxePn0F3h3lkwdnN7wu0mQ5KeWBUl/syUHdzrmYP16oO+nrPhqYbmZVdZ4/AfjQzJLvSQTY0eKVb6bmxO6cuxJvzNkGvygZY7rjIXCa2/b+h/IYYJSZrfDLQtH2KVYAJ9Z5nNpm6c7ldUBRhudJkDUWf3ICyOvAW8B/+WVFwM/MLJngR4BQDYinkdj9IQmnmtmjflHqeV7v80Ki0Xb3nQ3clnywn7R7JgJ93rfry5oZehWYCOCcOwGoMrNlfvl451zMOXcY3oDDmfuumpkzsx3Ae8B5ftFEYHqa3Yf7+9Z1NP4kCn882jH17BNITYj9JOASAH9cVQyYT/rjIRQyjd/vMTsFGJlMzHxhbPs3gR8650qccx3wJvO8ltxoZkuBKufcSL9oAt4PkqacJ0HWYPz+RI+Xgb+b2VVmluw1+B64zh9UDXAFXs9amDQYO96M6z865/r6M/AvB6alOybasuItoLHY8WMeCnxUp3h/aPdGBf28V3JWD+fcZc65Sf7De4Ec59yXwD14DQjeYMEv8QbPvghcYmaVbV7ZvffveLN3vsL7dXUD7BE7wKF4vzDqmgR0dc59gfc+TDSzLW1Q55aSSez/CZzmx3gHcIGZxUl/PIRJg/H7H9g34U0jf8efFFHunOtBCNveH+h+PfA2UI7XI/qJc+5V51yZv9t44G7n3Hy8iQ/3+OX1vldhkkH8P8Ybb3VunbZ+xO81+Dfgz865eXhf4tftozD2SmOxm9m3eJftX8ZbMiHCrgli6Y6JUMjwuC8BquteGdkf2r0hYTnvI4lE6qVVEREREdlX1HMmIiIiEiBKzkREREQCRMmZiIiISIAoORMREREJECVnIiIiIgGi5ExEREQkQJSciYiIiASIkjMRERGRAPl/9b++THGvXYwAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_test(y_pred)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**DISCUSS:**\n", " - There are indications that the network has overfitted the TRAIN data. What are they?\n", " - How might you minimize this overfitting?\n", " - Has the network learned to \"high-pass filter\" the noisy input?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Convolutional Layers" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our first design pattern is to use [convolution arithmetic](https://github.com/vdumoulin/conv_arithmetic/blob/master/README.md) as a replacement for the $n_\\text{in}\\times n_\\text{out}$ matrix multiply of a [Linear layer](https://pytorch.org/docs/stable/nn.html#linear) (blue=inputs, green=outputs, gray=kernel, white=padding):\n", "\n", "![convolution example](https://raw.githubusercontent.com/vdumoulin/conv_arithmetic/master/gif/same_padding_no_strides.gif)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This approach can drastically reduce the number of weights that need to be learned since the same small \"kernel\" matrix of weights is applied at different positions of the input. It is justified when:\n", " - The input features measure some property sampled on a uniform grid (spatial / temporal / abstract).\n", " - The learning task is (at least approximately) translation invariant on the grid.\n", "\n", "Convolutions are most often applied to 2D inputs (aka images), but also work just as well for the 1D and 3D datasets that are common in scientific problems. The basic convolution has several hyperparameters that determine exactly how the kernel is tiled across (a single channel of) the input:\n", " - **kernel size**: how big is the kernel matrix? (this determines the number of layer parameters).\n", " - **stride**: how many grid units does the kernel advance each time?\n", " - **padding**: is the input padded (usually with zeros)?\n", " - **dilation**: is the kernel dense or expanded over the input grid?\n", "\n", "The combination of these hyperparameters, together with the input size, determine the output size.\n", " \n", "Instead of summing kernel-weighted inputs to calculate a single output value, we can instead distribute each input value over the output using kernel weights, i.e., flip the inputs and outputs in the diagram above. This is the linear inverse of a convolution but can be transformed into a normal convolution where the [kernel matrix has been transposed](https://medium.com/apache-mxnet/transposed-convolutions-explained-with-ms-excel-52d13030c7e8). These are known as **transposed convolutions** (they are also sometime referred to (incorrectly) as \"deconvolutions\").\n", "\n", "Convolutions can be applied in parallel (and independently) to multiple **channels** of data. The main use case for this for input data is to support the RGB channels of color images. However, hidden convolutional layers often use a large number (hundreds) of channels. A common design pattern is to keep the data length the same or decreasing, while increasing the number of channels.\n", "\n", "Convolution is a layer design, so there is still the question of how to stack layers into a full network. There are no rules here, but most of the successful image classification networks have 10-100 convolutional layers, to identify high-level image features, followed by some fully connected layers to perform the final classification task. Here are some examples:\n", "\n", "![convolutional architectures](img/NeuralNetworks/convnets.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Modify the `FCN` class above to build a network consisting entirely of convolution layers (which do not change the input size):" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "class CNN(torch.nn.Sequential):\n", " \n", " def __init__(self, kernels=(5, 5, 5), channels=(1, 3, 3, 1), activation=torch.nn.ReLU):\n", " super(CNN, self).__init__()\n", " if len(channels) != len(kernels) + 1:\n", " raise ValueError('Input kernels and channels have inconsistent lengths.')\n", " for depth, (K, Cin, Cout) in enumerate(zip(kernels, channels[:-1], channels[1:])):\n", " # Use a padding that gives output_size == input_size.\n", " assert K % 2 == 1, 'Kernel sizes must be odd.'\n", " self.add_module(f'LYR{depth}', torch.nn.Conv1d(\n", " in_channels=Cin, out_channels=Cout, kernel_size=K, padding=K // 2))\n", " if depth < len(kernels) - 1:\n", " self.add_module(f'ACT{depth}', activation())\n", " \n", " def forward(self, inp):\n", " # Assume in_channels==1 if the input has no channel axis.\n", " if len(inp.shape) == 2:\n", " inp = inp.unsqueeze(1)\n", " out = super(CNN, self).forward(inp)\n", " # Remove channel axis when out_channels==1.\n", " if out.shape[1] == 1:\n", " out = out.squeeze(1)\n", " return out" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "CNN(\n", " (LYR0): Conv1d(1, 1, kernel_size=(5,), stride=(1,), padding=(2,))\n", ")" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "CNN(kernels=(5,), channels=(1, 1))" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "CNN(\n", " (LYR0): Conv1d(1, 2, kernel_size=(5,), stride=(1,), padding=(2,))\n", " (ACT0): ReLU()\n", " (LYR1): Conv1d(2, 1, kernel_size=(5,), stride=(1,), padding=(2,))\n", ")" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "CNN(kernels=(5, 5), channels=(1, 2, 1))" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "CNN(\n", " (LYR0): Conv1d(1, 2, kernel_size=(5,), stride=(1,), padding=(2,))\n", " (ACT0): ReLU()\n", " (LYR1): Conv1d(2, 3, kernel_size=(5,), stride=(1,), padding=(2,))\n", " (ACT1): ReLU()\n", " (LYR2): Conv1d(3, 1, kernel_size=(5,), stride=(1,), padding=(2,))\n", ")" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "CNN(kernels=(5, 5, 5), channels=(1, 2, 3, 1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A recent idea is to use a layer with a 1x1 \"convolution\" to effectively apply a fully connected network that maps `in_channels` values per input to `out_channels` values per input. This is known as a **network-in-network** layer (see [this paper](https://arxiv.org/pdf/1312.4400v3.pdf) for details):" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "CNN(\n", " (LYR0): Conv1d(1, 5, kernel_size=(1,), stride=(1,))\n", " (ACT0): ReLU()\n", " (LYR1): Conv1d(5, 10, kernel_size=(1,), stride=(1,))\n", " (ACT1): ReLU()\n", " (LYR2): Conv1d(10, 5, kernel_size=(1,), stride=(1,))\n", " (ACT2): ReLU()\n", " (LYR3): Conv1d(5, 1, kernel_size=(1,), stride=(1,))\n", ")" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "CNN(kernels=(1, 1, 1, 1), channels=(1, 5, 10, 5, 1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are now ready to learn a convolutional model to solve our test de-noising problem:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model has 1101 parameters.\n", "Data has 128000 values.\n", "EPOCH 25: TRAIN 0.00040 TEST 0.00036\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "torch.manual_seed(123)\n", "model = CNN((9, 9, 9), (1, 10, 10, 1))\n", "train_loss, test_loss, y_pred = learn(model, n_epochs=25, learning_rate=0.01, loss_slice=slice(5, -5))" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_test(y_pred)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How did we do? We achieved the same performance (TEST loss ~3e-4) with much few parameters (1K vs 33K), fewer epochs (25 vs 250) and less overfitting." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**DISCUSS:** There is some evidence that the convolutional model does poorly at the edges. Why is this not surprising? How does the `loss_slice` argument to the `learn()` function address this?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Skip Connections" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Convolution is an alternative method for introducing linear mixing of inputs to outputs. Our last two design patterns take a different approach: adding graph edges that do not connect adjacent layers. We first explore forward connections that \"skip\" over some subsequent modules.\n", "\n", "The landmark papers that introduced the key ideas (together with end-to-end network architectures for solving a particular problem) are:\n", " - Ronneberger 2015 [U-Net: Convolutional Networks for Biomedical Image Segmentation](https://arxiv.org/abs/1505.04597) aka \"U-Net\"\n", " - He 2015, [Deep Residual Learning for Image Recognition](https://arxiv.org/abs/1512.03385) aka \"ResNet\"\n", " - Huang 2017 [Densely Connected Convolutional Networks](https://arxiv.org/abs/1608.06993) aka \"DenseNet\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To motivate the need for skip connections, define a utility to plot the parameter gradients calculated during a backwards pass through the network:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "def plot_gradients(model, N=1000, D=100):\n", " out = model(torch.randn(1000, 100))\n", " loss = torch.sum(out ** 2) / 100\n", " loss.backward()\n", " grads = [lyr.weight.grad.data.view(-1) for lyr in model if isinstance(lyr, torch.nn.Linear)]\n", " bins = np.linspace(-.2, .2, 50)\n", " for depth, grad in enumerate(grads):\n", " plt.hist(grad, bins=bins, histtype='step', label=f'LYR{depth}')\n", " plt.yscale('log')\n", " plt.xlabel('Weight Gradient')\n", " plt.ylabel('Nodes / layer')\n", " plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, generalize our `FCN` class to add a new `add_skip()` method, which allows arbitrary skip connections to be added to a fully connected network:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "import collections\n", "\n", "class SkipNet(FCN):\n", " \"\"\"Initialize a fully connected network with arbitrary skip connections.\n", " \"\"\"\n", " def __init__(self, *n_nodes, activation=torch.nn.ReLU):\n", " super(SkipNet, self).__init__(*n_nodes, activation=activation)\n", " self.skips = collections.defaultdict(list)\n", " \n", " def add_skip(self, out_of, in_to, verbose=True):\n", " \"\"\"Add a skip connection from out_of -> in_to.\n", " \"\"\"\n", " self.skips[in_to].append(out_of)\n", " if verbose:\n", " print(f'Output of {out_of} is added to input of {in_to}.')\n", " \n", " def forward(self, inp):\n", " saved = {}\n", " for name, module in self.named_children():\n", " # Add any contributions from skip connections to this module's input.\n", " for source in self.skips[name]:\n", " inp += saved[source]\n", " # Pass the input through this module.\n", " inp = module(inp)\n", " # Save this module's output for other modules to use as a skip input.\n", " saved[name] = inp\n", " return inp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With no skip connections, we clearly see the **vanishing gradient problem** with just 5 layers:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "torch.manual_seed(123)\n", "model = SkipNet(100, 100, 100, 100, 100, 100)\n", "plot_gradients(model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can fix the problem for `LYR0` by adding a skip connection to `LYR1`:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Output of LYR0 is added to input of LYR1.\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "model.add_skip('LYR0', 'LYR1')\n", "plot_gradients(model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Adding skip connections that bypass each Linear+ReLU pair in turn cures the vanishing gradient problem:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Output of LYR1 is added to input of LYR2.\n", "Output of LYR2 is added to input of LYR3.\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "model.add_skip('LYR1', 'LYR2')\n", "model.add_skip('LYR2', 'LYR3')\n", "plot_gradients(model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can easily understand how this works from a \"plumbing\" perspective: the skip connection provides a parallel pipe for the backward propagation of gradients that bypasses the attenuating effect of each Linear+ReLU pair.\n", "\n", "However, skip connections also transform the problem we are trying to solve in an important way. Instead of trying to explain our data with $f(x)$, we explain it with $x + f(x)$. In other words, we are saying that the identify function is a good zeroth-order approximation and we want to learn the first-order correction." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Feedback Connections" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our final design pattern is to introduce a backwards \"feedback\" connection. This simple modification adds significant complexity but also great expressive power (comparable to the electronics revolution associated with the idea of transistor feedback!)\n", "\n", "Networks that include some feedback connections are known as **recurrent neural networks (RNN)**. They are currently the state of the art for many natural language tasks, such as translation, sentiment analysis and image captioning.\n", "\n", "Architectures with feedback are still maturing but some useful building blocks have emerged, such as the long short-term memory (LSTM) and gated recurrent unit (GRU), which allows a network to remember some internal state but also forget it based on new input.\n", "\n", "Since the same unit processes different parts of the input data many times, a RNN typically has much fewer parameters than the corresponding fully connected network (just like a CNN).\n", "\n", "Some practical considerations for RNN designs:\n", " - The order of training data is now significant and defines a \"model time\", but the network can be reset whenever needed.\n", " - Input data can be packaged into variable-length messages that generate variable (and different) length output messages. This is exactly what language translation needs.\n", "\n", "A feed-foward network implements a universal approximating function. Since the internal state of an RNN acts like local variables, you can think of an RNN as a universal approximating program!\n", "\n", "Here are some useful references for further reading:\n", " - [The unreasonable effectiveness of Recurrent Neural Networks](https://karpathy.github.io/2015/05/21/rnn-effectiveness/)\n", " - [Sequence to Sequence Learning with Neural Networks](https://arxiv.org/abs/1409.3215)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To motivate a recurrent architecture, we will first consider a simple (non parametric) running average solution to our test problem, packaged to look like a torch module:\n", "$$\n", "y_i = \\frac{1}{n_\\text{hist}}\\, \\left( x_i + \\sum_{k=1}^{n_\\text{hist}-1} x_{i-k} \\right) \\; .\n", "$$" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "class RunningAverage(object):\n", " \n", " def __init__(self, n_history):\n", " self.n_history = n_history\n", " \n", " def forward(self, inp, history=None):\n", " if history is None:\n", " # Set the initial history to zeros.\n", " history = torch.zeros(self.n_history)\n", " # Shift the existing history and add the new input.\n", " history = history.roll(-1)\n", " history[-1] = inp\n", " return torch.mean(history), history\n", " \n", " def __call__(self, inp):\n", " history = None\n", " out = torch.empty_like(inp)\n", " for i in range(len(inp)):\n", " out[i], history = model.forward(inp[i], history)\n", " return out" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the `forward` method processes a single sample from one of our 128-value inputs, while the `__call__` method feeds each sample in turn to build a 128-value output prediction.\n", "\n", "First check how this module behaves for simple inputs:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "input: 1.0, output: 0.25 history: tensor([0., 0., 0., 1.])\n", "input: 1.0, output: 0.50 history: tensor([0., 0., 1., 1.])\n", "input: 1.0, output: 0.75 history: tensor([0., 1., 1., 1.])\n", "input: 1.0, output: 1.00 history: tensor([1., 1., 1., 1.])\n", "input: 1.0, output: 1.00 history: tensor([1., 1., 1., 1.])\n" ] } ], "source": [ "model = RunningAverage(n_history=4)\n", "history = None\n", "inp = 1.\n", "for i in range(5):\n", " out, history = model.forward(inp, history)\n", " print(f'input: {inp}, output: {out:.2f} history: {history}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We normally feed in a whole input sample to build a corresponding output:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "tensor([0.2500, 0.5000, 0.7500, 1.0000, 1.0000])" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model(torch.ones(5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How does this simple model perform on our test problem?" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "model = RunningAverage(n_history=4)\n", "y_pred = [model(x) for x in x_test[:3]]\n", "plot_test(y_pred)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Try increasing the amount of internal history to get smoother outputs:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "model = RunningAverage(n_history=12)\n", "y_pred = [model(x) for x in x_test[:3]]\n", "plot_test(y_pred)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The results are offset (which we could fix) and have problems at the left edge (due to the zero initial history) but are otherwise reasonable.\n", "\n", "Next, replace the averaging equation above with a pair of small 3-layer fully connected networks: one to calculate the feedback value and one for the output value." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "class RNN(torch.nn.Module):\n", " \n", " def __init__(self, n_feedback, activation=torch.nn.PReLU):\n", " super(RNN, self).__init__()\n", " self.n_feedback = n_feedback\n", " self.feedback_net = torch.nn.Sequential(\n", " torch.nn.Linear(1 + n_feedback, 2 * n_feedback, bias=True),\n", " activation(),\n", " torch.nn.Linear(2 * n_feedback, 2 * n_feedback),\n", " activation(),\n", " torch.nn.Linear(2 * n_feedback, n_feedback),\n", " activation(),\n", " )\n", " self.output_net = torch.nn.Sequential(\n", " torch.nn.Linear(1 + n_feedback, 2 * n_feedback),\n", " activation(),\n", " torch.nn.Linear(2 * n_feedback, 2 * n_feedback),\n", " activation(),\n", " torch.nn.Linear(2 * n_feedback, 1),\n", " )\n", " \n", " def forward(self, inp, feedback=None):\n", " if feedback is None:\n", " feedback = torch.zeros(len(inp), self.n_feedback)\n", " combined = torch.cat((inp, feedback), 1)\n", " feedback = self.feedback_net(combined)\n", " # Output is a residual!\n", " out = inp + self.output_net(combined)\n", " return out, feedback\n", " \n", " def __call__(self, inp):\n", " out = torch.empty_like(inp)\n", " feedback = None\n", " for i in range(inp.shape[1]):\n", " out[:, i:i+1], feedback = super(RNN, self).__call__(inp[:, i:i+1], feedback)\n", " return out" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "input: 1.0, output: 1.19 history: tensor([-0.0334, 0.0904, -0.0781, 0.2044])\n", "input: 1.0, output: 1.20 history: tensor([-0.0347, 0.0752, -0.0781, 0.1982])\n", "input: 1.0, output: 1.20 history: tensor([-0.0346, 0.0746, -0.0779, 0.1976])\n", "input: 1.0, output: 1.20 history: tensor([-0.0346, 0.0746, -0.0779, 0.1976])\n", "input: 1.0, output: 1.20 history: tensor([-0.0346, 0.0746, -0.0779, 0.1976])\n" ] } ], "source": [ "model = RNN(4)\n", "history = None\n", "inp = torch.ones((1, 1))\n", "for i in range(5):\n", " out, history = model.forward(inp, history)\n", " print(f'input: {inp[0, 0]}, output: {out[0, 0]:.2f} history: {history[0].data}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Try this simple recurrent unit on our test problem:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model has 2202 parameters.\n", "Data has 128000 values.\n", "EPOCH 100: TRAIN 0.00135 TEST 0.00127\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "torch.manual_seed(123)\n", "model = RNN(12)\n", "train_loss, test_loss, y_pred = learn(model, batch_size=100, n_epochs=100, learning_rate=0.002)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_test(y_pred)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Training is significantly slower because of the feedback loops, and the resulting performance is worse than our earlier architectures (but still not bad given the number of parameters, and has good generalization).\n", "\n", "This problem does not take advantage of some of the unique RNN features, such as variable-length inputs and outputs. However, it does offer a solution that, once trained, can be run in \"streaming mode\" on the data, unlike our earlier architectures which need to see all of the data at once.\n", "\n", "Finally, instead of building our own recurrent unit, we can use one of the [standard units](https://pytorch.org/docs/stable/nn.html#recurrent-layers), such as a GRU:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "class GRU(torch.nn.Module):\n", " \n", " def __init__(self, n_feedback):\n", " super(GRU, self).__init__()\n", " self.gru = torch.nn.GRU(1, n_feedback, num_layers=1, batch_first=True)\n", " \n", " def __call__(self, inp):\n", " # Add last input_size=1 dimension to inp.\n", " hidden, _ = self.gru(inp.unsqueeze(-1))\n", " # Use the first element of final hidden state as residual.\n", " return inp + hidden[:, :, 0]" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model has 540 parameters.\n", "Data has 128000 values.\n", "EPOCH 100: TRAIN 0.00373 TEST 0.00343\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "torch.manual_seed(123)\n", "model = GRU(12)\n", "train_loss, test_loss, y_pred = learn(model, batch_size=100, n_epochs=100, learning_rate=0.0002)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_test(y_pred)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note how the GRU network has simply learned to pass through the input data, so has fallen into a false local minimum solution when we know there is a better solution out there.\n", "\n", "Although recurrent architectures are often associated with natural language processing, they can also be adapted to other domains with interesting results. For example, see [this paper](https://arxiv.org/abs/1912.01412) that learns to out-perform mathematica on symbolic integration and differentiation problems!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Transfer Learning" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The methods described above are building-block design patterns that underly much of the recent development in \"deep learning\". They are important to understand if you want to learn how the popular end-to-end solutions work and adapt them to your own problem.\n", "\n", "However, an alternative (often easier) approach is **transfer learning**, where you:\n", " - Take an existing end-to-end solution to a similar problem with pre-trained parameters.\n", " - Replace the final (typically fully connected) layers.\n", " - Retrain the network with only the parameters of the new layers being updated.\n", " \n", "This approach often allows you to benefit from the (often vast) resources already spent learning a model and adapt it to your problem with relatively little data or training time required.\n", "\n", "The limits to this approach for scientific problems are that our problems are often superficially similar, but still different in some fundamentally important ways. The result of transfer learning is then often sub-optimal but can still be acceptable.\n", "\n", "Transfer learning for image-processing problems is [straightforward with PyTorch](https://pytorch.org/tutorials/beginner/transfer_learning_tutorial.html) and even easier with the [fastai library](https://docs.fast.ai/).\n", "\n", "For a list of some benchmark problems and the current best solutions, see [here](http://rodrigob.github.io/are_we_there_yet/build/#about)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Active Learning\n", "\n", "We have seen that deep learning generally requires huge amounts of labeled data to achieve its impressive results but, in some domains, there is not enough existing labeled data is it is relatively expensive to to obtain more of it.\n", "\n", "\"Active learning\" refers to a modified training loop applied to a large unlabeled dataset, where we iteratively recommend which samples to label next and gradually build up a small but powerful labeled training sample. For a recent pedagogical introduction, see [these tutorials](https://icml.cc/Conferences/2019/ScheduleMultitrack?event=4341)." ] } ], "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": "3.7.5" } }, "nbformat": 4, "nbformat_minor": 2 }