Created
October 27, 2020 00:10
-
-
Save izmailovpavel/c6f77f7153cc9a779205428de7bd7720 to your computer and use it in GitHub Desktop.
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import gpytorch\n", | |
"import torch\n", | |
"\n", | |
"from matplotlib import pyplot as plt\n", | |
"%matplotlib inline" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Torch 1.3.1\n", | |
"GPyTorch 1.0.1\n" | |
] | |
} | |
], | |
"source": [ | |
"print(\"Torch\", torch.__version__)\n", | |
"print(\"GPyTorch\",gpytorch.__version__)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"**Tutorials**\n", | |
"- Simple GP regression: https://docs.gpytorch.ai/en/v1.2.0/examples/01_Exact_GPs/Simple_GP_Regression.html" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Problem 1" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"test_x = torch.arange(1,101, dtype=torch.float32)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Defining the kernel" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Kenel docs: https://docs.gpytorch.ai/en/v1.2.0/kernels.html?highlight=kernel" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"class RBFKernel(gpytorch.kernels.Kernel):\n", | |
" def __init__(self, log_lengthscale_prior=None):\n", | |
" self.has_lengthscale=True\n", | |
" super(RBFKernel, self).__init__(has_lengthscale=True)\n", | |
" self.register_parameter(name=\"isp_scale\", \n", | |
" parameter=torch.nn.Parameter(torch.zeros(1)))\n", | |
" \n", | |
" @property\n", | |
" def scale(self):\n", | |
" return torch.nn.functional.softplus(self.isp_scale)\n", | |
" \n", | |
" \n", | |
" def forward(self, x1, x2, **params):\n", | |
" x1_ = x1.div(self.lengthscale)\n", | |
" x2_ = x2.div(self.lengthscale)\n", | |
" 1# make covariance grid\n", | |
" diff = torch.sum((x1_[:, None] - x2_[None, :])**2, -1)\n", | |
" res = torch.exp(-diff) * self.scale\n", | |
" return res" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"tensor([1.3133], grad_fn=<SoftplusBackward>)" | |
] | |
}, | |
"execution_count": 5, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"kernel = RBFKernel()\n", | |
"kernel.lengthscale = 10.\n", | |
"kernel.isp_scale.data[0] = 1.\n", | |
"kernel.scale" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.colorbar.Colorbar at 0x7fe828856250>" | |
] | |
}, | |
"execution_count": 6, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 288x288 with 2 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"kernel.lengthscale = 10.\n", | |
"plt.matshow(kernel(test_x, test_x).evaluate().detach().numpy())\n", | |
"plt.colorbar()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### GP model" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"class ExactGPModel(gpytorch.models.ExactGP):\n", | |
" def __init__(self, train_x, train_y, likelihood, kernel):\n", | |
" super(ExactGPModel, self).__init__(train_x, train_y, likelihood)\n", | |
" self.mean_module = gpytorch.means.ConstantMean()\n", | |
" self.covar_module = kernel\n", | |
"\n", | |
" def forward(self, x):\n", | |
" mean_x = self.mean_module(x)\n", | |
" covar_x = self.covar_module(x)\n", | |
" return gpytorch.distributions.MultivariateNormal(mean_x, covar_x)\n", | |
"\n", | |
" " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"kernel = RBFKernel()\n", | |
"gp = ExactGPModel(\n", | |
" train_x=None,\n", | |
" train_y=None,\n", | |
" likelihood=gpytorch.likelihoods.GaussianLikelihood(),\n", | |
" kernel=kernel\n", | |
")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"/home/izmailovpavel/anaconda3/envs/py37/lib/python3.7/site-packages/gpytorch/utils/cholesky.py:43: RuntimeWarning: A not p.d., added jitter of 1e-06 to the diagonal\n", | |
" warnings.warn(f\"A not p.d., added jitter of {jitter_new} to the diagonal\", RuntimeWarning)\n" | |
] | |
}, | |
{ | |
"data": { | |
"text/plain": [ | |
"[<matplotlib.lines.Line2D at 0x7fe81daf4090>]" | |
] | |
}, | |
"execution_count": 9, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"gp.covar_module.lengthscale = 10.\n", | |
"gp.covar_module.isp_scale.data[0] = 1.\n", | |
"gp.eval()\n", | |
"f_preds = gp(test_x)\n", | |
"f_samples = f_preds.rsample()\n", | |
"plt.plot(test_x, f_samples.detach())" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Using standard GPyTorch RBF Kernel:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"kernel = gpytorch.kernels.ScaleKernel(gpytorch.kernels.RBFKernel())\n", | |
"gp = ExactGPModel(\n", | |
" train_x=None,\n", | |
" train_y=None,\n", | |
" likelihood=gpytorch.likelihoods.GaussianLikelihood(),\n", | |
" kernel=kernel\n", | |
")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"/home/izmailovpavel/anaconda3/envs/py37/lib/python3.7/site-packages/gpytorch/utils/cholesky.py:43: RuntimeWarning: A not p.d., added jitter of 9.999999999999999e-05 to the diagonal\n", | |
" warnings.warn(f\"A not p.d., added jitter of {jitter_new} to the diagonal\", RuntimeWarning)\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"gp.covar_module.base_kernel.lengthscale = 10.\n", | |
"gp.covar_module.outputscale = 20.\n", | |
"gp.eval()\n", | |
"f_preds = gp(test_x)\n", | |
"f_samples = f_preds.rsample(sample_shape=torch.Size([100]))\n", | |
"for sample in f_samples.detach():\n", | |
" plt.plot(test_x, sample)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Problem 4: Combining Kernels" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 122, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"kernel1 = gpytorch.kernels.ScaleKernel(gpytorch.kernels.RBFKernel())\n", | |
"kernel1.base_kernel.lengthscale = .5\n", | |
"kernel2 = gpytorch.kernels.ScaleKernel(gpytorch.kernels.PeriodicKernel())\n", | |
"kernel = kernel1 + kernel2\n", | |
"# kernel = kernel2\n", | |
"gp = ExactGPModel(\n", | |
" train_x=None,\n", | |
" train_y=None,\n", | |
" likelihood=gpytorch.likelihoods.GaussianLikelihood(),\n", | |
" kernel=kernel\n", | |
")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 123, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"\n", | |
"gp.eval()\n", | |
"f_preds = gp(test_x)\n", | |
"f_samples = f_preds.rsample(sample_shape=torch.Size([100]))\n", | |
"for sample in f_samples.detach():\n", | |
" plt.plot(test_x, sample)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Problem 2: Let's add some observations" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"x = torch.Tensor([20., 50., 70.])\n", | |
"y = torch.Tensor([3., -1., 2.])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"kernel = gpytorch.kernels.ScaleKernel(gpytorch.kernels.RBFKernel())\n", | |
"likelihood = gpytorch.likelihoods.GaussianLikelihood()\n", | |
"likelihood.noise_covar.noise = .1\n", | |
"gp = ExactGPModel(\n", | |
" train_x=x,\n", | |
" train_y=y,\n", | |
" likelihood=likelihood,\n", | |
" kernel=kernel\n", | |
")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 14, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"[<matplotlib.lines.Line2D at 0x7fe81d596310>]" | |
] | |
}, | |
"execution_count": 14, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"gp.covar_module.base_kernel.lengthscale = 20.\n", | |
"gp.covar_module.outputscale = 10.\n", | |
"gp.eval()\n", | |
"f_preds = gp(test_x)\n", | |
"f_samples = f_preds.rsample(sample_shape=torch.Size([100]))\n", | |
"for sample in f_samples.detach():\n", | |
" plt.plot(test_x, sample, color=\"b\", alpha=0.3)\n", | |
"plt.plot(x, y, \"ro\", ms=10)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Let's get closed-form predictions" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 15, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"with torch.no_grad(), gpytorch.settings.fast_pred_var():\n", | |
" true_pred = gp(test_x)\n", | |
" noisy_pred = likelihood(true_pred)\n", | |
"\n", | |
"lower, upper = noisy_pred.confidence_region()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 16, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.fill_between(test_x, lower, upper, color=\"b\", alpha=0.3)\n", | |
"plt.plot(x, y, \"ro\", ms=10)\n", | |
"for sample in f_samples.detach()[::10]:\n", | |
" plt.plot(test_x, sample, color=\"b\", alpha=0.3)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Problem 3: Learning the Kernels" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# # x = torch.Tensor([2., 5., 7.])\n", | |
"# # y = torch.Tensor([3., -1., 2.])\n", | |
"# x = torch.linspace(0., 1., 5)\n", | |
"# y = torch.cos(x*6) #+ torch.randn_like(x) * 1.\n", | |
"# test_x = torch.linspace(0., 1., 100)\n", | |
"\n", | |
"# kernel = gpytorch.kernels.ScaleKernel(gpytorch.kernels.RBFKernel())\n", | |
"# likelihood = gpytorch.likelihoods.GaussianLikelihood()\n", | |
"# likelihood.noise_covar.noise = .3\n", | |
"# gp = ExactGPModel(\n", | |
"# train_x=x,\n", | |
"# train_y=y,\n", | |
"# likelihood=likelihood,\n", | |
"# kernel=kernel\n", | |
"# )\n", | |
"# gp.covar_module.base_kernel.lengthscale = 0.2\n", | |
"# gp.covar_module.outputscale = 3.\n", | |
"\n", | |
"# gp.eval()\n", | |
"# f_preds = gp(test_x)\n", | |
"# f_samples = f_preds.rsample(sample_shape=torch.Size([100]))\n", | |
"# for sample in f_samples.detach():\n", | |
"# plt.plot(test_x, sample, color=\"b\", alpha=0.3)\n", | |
"# plt.plot(x, y, \"ro\", ms=10)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 96, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"[<matplotlib.lines.Line2D at 0x7fe7f49eb6d0>]" | |
] | |
}, | |
"execution_count": 96, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAAD4CAYAAADxeG0DAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAgAElEQVR4nOy9aXRc13Umum/NMwqFeQYJgLNIUaSo2ZJlxxItjzHtxB3LcTsr7NVyO4lb7n7Jj36v13v9Ov1et6L0C5O1IjNpx5Jn2pbkgZplSaTFAZxAECAxEPNQqEKh5rnqvh8fN08BrAJAokAMPN9aWABquPfce/f5zj57VFRVJQkJCQmJtQvNSg9AQkJCQmJpkEQuISEhscYhiVxCQkJijUMSuYSEhMQahyRyCQkJiTUO3UqctLy8XG1ubl6JU0tISEisWZw5c8arqmrF3NdXhMibm5upvb19JU4tISEhsWahKMpQvtelaUVCQkJijUMSuYSEhMQahyRyCQkJiTUOSeQSEhISaxySyCUkJCTWOCSRS0hISKxxSCKXkJCQWOOQRE5EY2NEicRKj0JCQkLi1lA0IlcURasoyjlFUX5VrGPeDoyNEZ09S3T6NFE2u9KjkZCQkLh5FFMj/3Mi6i7i8ZYdqRTRpUtEJhPRzAxRT89Kj0hCQkLi5lEUIlcUpZ6IniKiw8U43u1CdzdRMkl0331EDQ1Evb1E09MrPSoJCQmJm0OxNPK/JaL/SEQFjROKohxUFKVdUZR2j8dTpNPeOmZmiIaGiDZsIHI4iHbsILJaYWZJpVZ6dBISEhKLx5KJXFGUTxHRlKqqZ+b7nKqqL6iquldV1b0VFTcU77qtUFWijg6YVDZvxms6HdGePXB69vev6PAkJCQkbgrFqH74EBF9RlGUTxKRiYgciqK8pKrqV4pw7GWB308UDBLdfTeRRkP04YfQwg0GIrebSK8n2rJlpUcpISEhsTgsWSNXVfWvVFWtV1W1mYj+kIjeWc0kTgSzSjhM5HIReTxEXi+RVkuUTgsHqIxgkZCQWCu4I+PI+/pgPrlwgWhwkOjECaJAQLw/Pk40Obliw5OQkJC4KRS1sYSqqr8lot8W85jLgUuXiJxOaOK//jVRJkN05QpRczP+druJurqIamtXeqQSEhISC+OO08iHh4l8PmEf7+2FvTwchoYej+Pvzs6VHqmEhITE4nDHEfm5c3BmlpeDrJ1OoooKODe3bUP0ilYLDV3GlEtISKwF3FFEPj1NNDpKVF2NLE63m6ipCT/19USPPgrTik6H1P0rV1Z6xBISEhIL444h8nic6NVXYVrR6UDiikJUVkbU2kp05gycnhoNwhATCaL2dkSySEhISKxm3BFEns0Svfce0dWrRLEY7OK//S009KYmolCIaGoKJpZ9+4gqK0HoHR2IYJGQkJBYzbgjiLyzE+n4VVVEjzxCtHEjCD0YhHY+MwNzS3k50T33ENntRDYbzDATEys9egkJCYn5se6JfHgYJF5SAscmETR0ux3/v/Ya0eXLMLWcPUtkNMLU4nAgOejkyZUdv4SEhMRCWNdEHg4TXbwITdvhgLkkmUT4odcLjXxoCK9lMjClnDhBtHUrUWkpCP/SJWknl5CQWN1Y10Q+OIjfra0gY0UBOQ8NEY2MoHTtgw/iPbcbBP/KKzCp1NTg85OTqM0iISEhsVpR1MzO1YRsFiGE1dVwZkajIu3+6lUis5noU59Cqr5OB41cr8f7fX1EjY0oazs9jeOUl6/ctUhISEjMh3WrkbvdMJk0NICMx8fh9OzoQNSKzYaCWePjKGdrs4HIKyuhgZvNsKHH4/i8hISExGrFuiXykREQdHk5QgsHBlAYa3oaESuBABydPh8I3+MBaQ8Own5+5Qq+m0rJ+uQSEhKrG+uSyBMJkHd9PRyeIyMg7MpKvK/Xo4St3w+NvbkZIYgXL+KzmQz+9nhgP+/vl2VtJSQkVi/WJZGPjqILUGMjyLirC9p5ZSVMKS4XUV0dbOajo9DAnU5o4/39RJs24bMOBwh8YkLWXZGQkFi9WJdEPjICsrZaYROfmQExB4P4u6QEWrnXS3T6NNEbb+BzXMK2vR1OUocDjlCPR0TASEhISKw2rDsi9/sRpdLQAG36gw+Q/FNTA808lcLfAwMg+oEBou5uFNFKJESNFXZ+2mywp0s7uYSExGrFuiPyqSn8rqmBw3JigmjHDpD7yAgKYun1+NtshoMzGoWppawMjs+pKYQoEsHkwu3fJCQkJFYj1h2R+3wwiej1SLlPJol27UIafiQCk8v4OMibnZ7ZLGqQV1fjGNEoUvOTSSKLBRmhnZ3S4SkhIbE6sa6IXFVhAy8txf8ffADyvngRRJ5IwFQyNASynpjA+6kUarIEAqiASARTSk8PCN5igZY+NLRy1yYhISFRCEvO7FQUxURE7xOR8drxjqiq+n8s9bi3glAI4YIuFzTovj50/YnFEKGSTCL6xOuFSSWRQBp+Og2iNhpB9IqCY42OwrRiNoPwT50i2rBhJa5MQkJCojCKoZEniOhxVVV3EdHdRPSkoij3F+G4Nw2fD79nZlB/XKsl+tjHQNRsFhkdRWx5JoP3TSZo8tksSH5oCP+nUqJOudWK9y9eXImrkpCQkJgfSyZyFQhf+1d/7Udd6nFvBT4ftO/BQYQaulwomOX+XT/9Z+8zNOBzkMenIV/WQf9Az9ADlf2kqqJPp04H0lZVaO/BII6XSuH9gQFZCVFCQmL1oSg2ckVRtIqinCeiKSJ6U1XVG6p4K4pyUFGUdkVR2j0eTzFOewN8PphATCaYTpxOosozR+n/enUnfTVxmBwUIg2pVEIh+lrmMP2sbyc9HDpKBgMIPBaDPVyrhQYeiUB7DwTwmtcrE4MkJCRWH4pC5KqqZlRVvZuI6olon6IoO/J85gVVVfeqqrq3gj2KRUQsBiJPp5Hw4/US7TD3U9m/OUDmbJQMlJr1eQOlyKJG6aXEAWpK95NGA9t4IiHMLUQg8nhc/D0yUvShS0hISCwJRY1aUVXVT0TvEtGTxTzuYuDzIQOzpAT/h0JET1x6jtRkat7v6SlFz2qep3gcppV0Gs5NjQZ29EwGi0Qyifc4vlxCQkJitWDJRK4oSoWiKM5rf5uJ6PeI6PJSj3uzYLNHSwts5DodUfOxl0ibnZ/IDZSiz4VfJJ1O2MU1GvykUtDSo1Fo6uk0ji3t5BISEqsJxdDIa4joXUVROojoNMFG/qsiHPem0NMDTbqyEpEnViuRNhpe+ItEZM2Gr2vf8Ti0eYMBhJ3JgNBTKVHudmZmmS9GQkJC4iaw5DhyVVU7iGh3EcZyy0inETNeXw/i9XqRbh/T2ciSDi34/TDZyGyGFh8MgsztdryXyeD48TgyQd1uaP7LYOaXkJCQuCWsi8zOgQGYP7Zvh7YcCIB8f275CiVJP+93k6SnHxuepkxGxJpns9C+iWiWpp5IIJLF613mC5KQkJC4CawLIu/rgy1761bUUVFVkPv/m36WUgsQeYr09Dx9i+JxmE84OSiZhIZOhNeiUZB5OIzU/kzmNlyYhISExCKwLoh8bAymFIMBfweDqJVyOdVCB+gIRchyg2aeJD1FyEJfMR4ht62FFAV2dQYTtarCpMJOz0gEvzmLVEJCQmKlseaJnJtB1NWBwH0+aOWTkyDh12g/7aQOOqwcpAA5KEMaCpCDXqCDdLfSQcfs++nhhxG2qNEILTybhXlGVXEORYHGzglCMjFIQkJitWDJzs6VxtQUTB719WgqMTYG00cqJWzeV6mF/kxziL6ROUREIGWdDuVuI2F0B3I48F1FEcfm72cy0MrTaSwWUiOXkJBYTVjzRD48jN+NjSB1rjuuKLPrh+fatBUFDZe3bCE6fx7au1YrIlTmIp0WRB6JIAQxEIC2nkv8EhISEiuBNW9aGR1F/Hh5OcwdnEIfieT/vKKgXG11Nb63dStIOh4XmvdccLq+oiDLc2ICztBC55CQkFgaMhmx+5VYGGtaI1dV2MPLy6FRX74M84rBAMLNB70en7da4RBl2zgRvpdPw1ZVaOMaDX673QhF9PtRv1xCQqI4GB5Gi0aub6QoRA88gGAGicJY0xp5KIRVu64Opo72duGg5DjwuTCb8Z7bLRpNWCwg8VzH5lxwuj4nHMXjOKeEhERx4PPBX2U2w+x5zz1QuM6cwXv9/WJ3LDEba5rI3W4QakMDEoF6e2EXD4dnP3CtVvzWakVM+O7dEJSGBtjMOX48n7Bks8LO7vMJjVxCQmLpSCZB2ERolt7WBgVt717srl98EV2/enpWdpyrFWvatDIyAk26qgpOS7cbJMzbsrnQakHAdjtK1Xq9+LzDgT6fU1PzkzMTeSyGCJe6OunwlJBYKvr6iH72MyhYW7YQvfMO0b33QsGyWKBEcURZLIaGMbJExmysaSIfHQUpl5QQ/e53eMjZLMwguWANmzXy+noRc24y4ftuN94zm3Gc3CiXjdRP/56eo6+oL5E9HabwtI1O/fArpNQ+S+Fwy/W6LBISEjeHkRGif/gHBBC0tsJGHo9D+960CYqVxwOF7dIlEHp/P9Gjj0JbN5lW+gpWB9YskUejMKe4XHBCdnVB204mb0yf5zBEnQ4PngmduwgZjbCVqyrez2aFt/xJOkpH6ADpKXW9OYWDQvRo72FS/uxfaMZ0hOxf3X8br1xCYn1gbIzo17+Gr+sLX8C8vXwZjk2/n+hHP8KcfuwxopoaEQYcDkNxy2SIHnwwf6TZnYY1ayOfngbZ1tXBy80r+VwnJ0ekcPs2kwmfsVhEtubZsxCcqioRuaLTQRM/QgfISjd2GNKrKdIlolT2bw5ARbiDUShCSEKiEMbHiT78EObMzZsxHy0Wos98BvNYVYm2bcP89fthN3/qKcz35mZ87+pVotOnZ+eL3KlY00SeTIJ8f/5zbM0SiRs/l2tWIYKwJJOwvzmdMM/4/SDuj3wEgqLVgtD/PT1Hepq/MQWlU0TPP1/ci1tDmJ4meustaFISEotBNgszyfQ0tG9WrtiUsmED5mcshvnI7Ru3b8f/jzwCk2oshmOcOSOjWdYskY+NYUt15QrCDuNxCEg+x6OiiB/GxATs4sEgHCe7d+N/ux1EbjQSfYVeukETnwtNOkXqiy8W+erWBlQVE5IIDqtgcGXHI7E2MDGBbGqzGSSeyYC4tVqYTR5+GA1ixseJ7r8f5H3yJOa73Y4ghe3bEf5bVYVjjY6u9FWtLNYkkafTCDWcmAB5h0LQxrXaG1dmjirJbaacSIB0LBYIU3090V13QSsvLRVmGDstrsMQhRb5uXWG0VFMph07MMkuXJCakcTCGBhAoIHVCk3c6cQc7OlBxnV5uahoWlaGSJaBAaLf/AaEHwjAvJLJQIN3OPDdO9nEsiaJvKcHW/nSUvTo5JR5jebGh8maOL+em/Sj1eL7Dz8MgdHpIFwOx7V4dFpc2qZqvfPSO9NpPAOnE5Nqxw5MqsHBlR6ZxGqG3w8N2mLB/Juehvz09uL97dvxt9tN9MQTonz0zAzR++9DWYhGMd8bGxH1YrXitTtZKy9G8+UGRVHeVRSlS1GUS4qi/HkxBlYIbjfRsWN4wA8/THT06Pw1T3I1RIMBUS7V1SKOvLISWzfWzqNRaARERD/SLtxhKKvVk++pp4twZWsL/f0wZ23fjmdRV4d72d0tnZ8ShTEwgN2wy4W5nEqBuN96C8TM9nObDTbzsTGEIu7ahfnp9eJ7HR2Qt2wW2r3NJhIC70QUQyNPE9GzqqpuI6L7iegbiqJsK8Jxb4DbDXt4NouHHo0SXbwoKhbm69rDUSsaDYic7XDBIMhcURAC9eGH+P7IiNDW/86wcIehrE5PA5/7VpGvdHUjkQCR19ZiQjJ27sSz4YqUEhK5SCRg91YUEPR772EednVhJ/fhh0Rvvw2ybmwE6YdC8GHt2YP5q9eD4M+dg3/MZAIPOBx3tla+ZCJXVXVCVdWz1/4OEVE3EdUt9bj5wPawqipo2hMTeOi5DSBuHJ9Ypdk2zjVamppQkKekBFrkxo0g/FgMRN5PC3cYeu1PjtCUveWOsg17vbjXLS2zXzeboRnJ0gUS+XD2LDKwL18GYXd3Yy4ajYhEmZhAVmdfH14/cwbzfXCQ6PBhvPb661Doslm839UFZS4chpnvTtXKi2ojVxSlmYh2E9HJYh6XsXkztL5gUDRADodFJme+B8gaOWd8ci0WoxFJBkYj4lWDQQgZ11Th+uTcYegFurHD0L2GDmqv2E/Z7J1V0nZmBvenpOTG95xOSeQSNyIaJXr3XREyHAxCEdi4Eb6pbdvwY7Hg/3ffxXfa2iBn8TgUtqEhEPgnPgFznl6PY164AFt7NAob/GpEOo3dar4w6aWiaESuKIqNiH5GRH+hquoNgWiKohxUFKVdUZR2j8dzy+cJBuHs1OuhAc7MiE73c6HRCBu5Xg8zgMOBLdqDDxJ99KN48C4Xtnsej0gUqq/ncaPD0DfpEDkpQDrKUKkSoD9TDlFvtoUGBkTt5DsFMzMg7Hyhnk4nJpa0k0vk4vRpmFXsdmjW6TTR5z4HJ3l9PcwqJ0/iMyMjUAaCQcjaJz+J8GCel3o9FCeXC3PZZoNiFwjgvamplb7a/JiZwYKzHFxRFCJXFEVPIPHvq6r683yfUVX1BVVV96qqurfiFiveeL1Yqb1eaOc9PVjdVDV/2BuHHXIvzupqvFZWRvSv/zXRl74EW9zQEByn995L9NBD0DbZq57/WkSETH8/FoM7hcgzGUyYXNt4LpxO/JZauQRjcpLoxAmQ98QEghVMJvxwDkgsBgJWVZCd14v5/ctfgvwVBT6ZrVvxeW6IbjRip63REJ06BXv6EvTEZcXMDH7zHCkmihG1ohDRPxFRt6qqf7P0IRVGTw9saz4fHnhHh2jPlk8jZyJXFKzcjY1YyZubie67TyQYqCps5RYLSN5uB1FZLIXHwgvH2Bj+vlNqk/v9uN7S0vzvOxwirVpCIp0GiQ8OwpRps0Ejn54m+slPRDLP0BBkZ3gYJO734zMXLxL90R/Bnu5ywRwzM4NjZDJ4LZHA74EBnDMex/urDT4frnE5asMUQyN/iIieJqLHFUU5f+3nk0U47g3Q67Eqt7XBYz0wIOoyzEVuEpBWC4KOxSBYjz6KVTEQALHv2oXj1NWJTM9gEMkHmnnukKJA4Hy+O0cjZ62iEJFrNFgIJZFLECGU8Px5UXo2GMQc1GpBtmYzfFYDA9DOu7thmmtpIfrGN4g++1nM0w8+wPvBIOZudzdkMBQSVUu1WhGPvtrMK6qKuVNo3iwVS65+qKrqMSK6LRW5m5rgECHCA0sk8JOvYTKRSNnX6RDvzAksjz+O99nWft99sM/V18NGV1GBLWB5Ob6bT9vnY6dSiHNtboYAGgzLcumrBjMzSMCY7zqdTrFTkbXa71ykUohC0elgCu3oEPO2tRW/ORt4ZASEHQphTrrdRJ//PDTybBYkfuEC5KmyEse5/35o804ntPiWFmj227ZB/gwGmFNXQ3XEUAgLVn8/FMRiE/qayuxk84XVispnJpMIPZyLXLOKzSaiVbZtg50tEMC2buNGCIbTic+UlIg+nhoNbHDzIZvF7iCZvDO08sVoFU4nnsudFMkjcSMGByEvGzZAHvj/sjKQeF8fCDjXVKLXizorX/4y0S9+gR34t74Fs8SlSyDo8XGQeDqN+dfVBeWrvR3a+9tvI7rl5Mn8itjtxswMxvfjHwsTUDGxpohcUUDeU1O4MYVs40SCiBUFxDI1BVJ+7DEcg7XxDRvw+Y0b8bu0FLZxux3H5/rl+cA1WdxukWS0nhGNCnvkfGBnzp3iN5DIj4sXRWGs4WE4IbNZEQOeTmOXPTODOWezQXYefBBmzrNn4Rg1GDC3tmyBTL3zDmTxpz8FOXKDmGAQr1+6hOPV1+PYZ8+ufA2gsTEkMY2MrPLww9uB1lb89PXB3s0RK3ORG3ao1YKcIxH8/uhH8ffkJEict10cU240YivIThSTqbCdnBeRUAhCut6JfCH7OIMrSEo7+Z0Lvx9as8OB+TQwAO07EsE8yWaxO/Z4MI/MZrzGVUjZdDk4CKfoiRMIYfR6QdReL97jOksGA0h+716YLjwecMSOHZjrnZ0rdy/CYWSxcnx7ZWXxz7GmiJwIpMlbqrkt2XLBRG4wQJhiMazoTU1YHYnwN0OjgZ2bIzLsdpHWryvgSeCwx2QStrn1TOSqil2MotCCre0UBeYpSeR3LoaHMVe5psr4OGSIHeEajVCAiETc+KVLkLMrV0DuqRTRm28SvfIK5np5OZStTEZotsEgtO5wGIEL1dWYs8eOiUiXwcGVKR0RjRIdOQL/nKrCLLwc/UbXFJGrKmzjbrfY5s+XjqvRgJSjUWiI994LDXx8XBS0z0VTk7CP22yiNVwhImew/Y81jfWIgQFoRX19uNaFrpOjglZ6Sytx+5FOQ17MZtEJyOvFAu92wxRiNIr8jnBYJPMkEiA7qxXHcjoRUTY2BoVs715h+jQaQfqsNEQiUKq4MF48Dgfr1q04Tl/f7ZfH997DGDZuxPVNTMDkVGysKSKPRomOHwdh6nSFswdzC2QZjfheSQnqOYRC+KmtvfF7RiNWS0WB0FitQuAKRV/wFnByEoK0Hh18mQw0JI0G6dWdnSKFuhCcTnxvNcbzSiwvxscRAx6JwCbc1wfNe3QURM5JeXq9cHIajZCtysrZuQgVFVCqMhlEqgwOYu7H45jD09OQzYoKHKu9XZhDTSZ8JxKBVh6J4Py3C9PTcLZWVaG0iNeLHUZ1dfHPtaaI/PRpeKe5yFW+sEOtFoKi0Yj40lQKArJ1K1Z2RYFNPB9qa7HiO53CvqfTFbaTZ7NY5UMhCPB6NK8MDkKLamhA6Ob992Mi9fUV/o7M8LxzMTwMAo9EMDeiUcyhRAJzUasFiU9OYl45nbPn9Pi4CGQYHYVfrK4OMscmCr9f9CCYmMDvykrs2Nl0ajBgDFevYr5bLLe3ve7Ro/jd0IC49+Fh8MP4ePHPtaaIPBrFw62pKZyGywTO4YdmM/7esgWr/vi4sLPlQ3U1BCvXrKLXz0/kXJBrPbY7y2RwXbydLSmB9lNXB8EcG0N879zdEZc4kBr5nYV4HHZunw9KEQcmOByiGF19vYj24g5BFgvIO5GAJhuLYd7F45C3TZswZ5NJ/GQy8EuxonbxIr5rt8Pckkxi/hsMWFRSKZg3fD7htF9O9PZip+BywSTZ24trMpuls5NGR3Ej5otR5lriqgoStlggEPfcI+xo+cwqDL0eWyF26plMEKD5ElvSaaFJrLeQu8FBTIqKCtwbkwmTMJlECNmRI2h+/ZvfzP6eosA0tR5NTRKFMTICDbi6GiaRsTH4qaanQb42G8iV273F4yK5rLRUKAQ6Hcg/HkfY3rlzmFuplHCWctRaSQn+5r6eoRDOy0pWMgk5bmjA+8uhlUejOC63nXz9dVH0K5nEmONxfJZ/FxNrishraqAJRqOiJO1csFklmxWk73QS3X03iFajKWxWyT2PxYIfhwPCNx9SKZyXkxvWC1gbr6jAfePaMyMj0Kbq6zG5zGYx2XJhscxvR5dYfzh3DsTV1ia0caNRzAtVhZlhZgZzNJ2GgubzYX5yiJ6iQLZ0OpBgKiXS/EtL8bdOh3NxGWuPB/4bLnfL5GmxYOFQFAQ0TE4WVy4TCTh0u7qIfvtbou99D05ONs3u3IlxcE5LobyUpWBNEbnZjB+OPZ3rgWatmU0r7CSprsYD5PT7hVJ2c80rXHdbp5vf4anRwPs+OFjcFTeVwnFXIvpjbAwThVtunT0LQX3nHYxn925oWqGQqIfR1SW+L4n8zkIyKcwJTidIVVEgIxxhlkhgTnJEGUeKuVwiS1tRIPPxOOYdK0rV1bCXcyKe1SoUOlXFsQcG8N3JSSwOXq8orTw2htwRjk8vBtJp7AQSCZT62LEDvryJCdEEp6kJ2jpz0nKYVpZca+V2YmQED6evr7CjU6cD2bO9TFVBRLGYiCVfCFyjgW3kNhvIv1CUDNdDT6dhn+M2creKREIUCOLr3LoVQnw7wU1yTSZEqUxNCdumz4fIg0uXcI+bm3HtTifue0MDvsvxvguVOpBY+7h4UTRFDgSgcKXTIjJFowH58k66ogImz3PnsODHYvhMMon3NRqhFHHsuNstnKZ6vQgtrqmBvHJNk2wWJh6tFvPIagWRNzZCbicnRd2mW0U2C9IOBon27QNBj43Bd8S+gsceE9Ue2W/n9xefzNeURr57N24EP6i5MBpBHvweZxhu3izMKosN/amtxQM3GHBc7u+ZD6wNEGGlX6qdvKsLD7uhAcW+ysqwePEW8nYgkwFxp1JEP/whtKuyMpD1+fNYaF55BUI6OSkSLt56C+8RCVOM1MrXP7JZxEtzKeiBAZhPUinIiKqCeFmDNhpBZlwigzt+KYrwOWUy+PyGbD/956ln6P0LDuq4pKGuMQf9n9PPkGumnxIJIV/NzTh2KITjjI5i3nN/Wd4Z1NTAd7NUR3xPD8Z99924llCI6K//GtdeU4NznTiB+ircPjIQWJ5IrjVF5EajCGnKB70exJtMihhyux3e6okJ3OyFknsY1dXYFrGjc6FsRn5QHs/S7OQ+HwSwpQXbtKoqLFxuNwQyFrs9ZhaPB9rF9DRIvKKC6KtfxRhGR0WkTjSKSWe1iiy+48fFa0SSyO8EjI9j4a+vx3zp6xP1h2pj/fR3mWdoPOIgt1dDE1EH/X+ZZ2i7qZ9ee02EKmo0ohwtEY7zlOYonc3spK+mDpNdDZGGVLKrIfpa+jCdTu6kJ9Wj1+3sdjs4IBCAWSMSgQwPDMB8o6pQOqqqcPyltIRLpXDcujpcc38/0d//PTT02lqiz3wGtnGPB0EBTel+ej7xDB276KB779dggM88UzTP65oi8vb2wlmFHDPOKzqbV9hEwvXGFwuDQThWOAJjvtrk3LUkFoOd8FagqiBNkwlmlKkp1Jl46y2E+P3sZ0SvvXZ76kaMjkIIzWZc2/btRO+/j8nZ1CQSOHQ6PI+pKewgDAYRM2s241gycmX94/JlyAFrvlevYi48FjtKZ9I76U/oMDkIROygEH05cpj+xxs7qf7i0Tk1sPkAACAASURBVOsLvd0O2XI6MZe2GfvpR+kDZKUoGWj2dtRAKbJSlH5KB6iF+imTgcyZTJj3ySSO4fWKLl5WKxYckwnnWEpy0OAgeKa1FXPljTfwu7oatvJ9+4iefBJzZ/fkUWpP7aQ/imMxUjjx5PBhsD0HnC8Ba4rIp6ZEfOhccE0UdoLyyt7UBCLRasVKvFhUVGDhNJnmb/1GJLaCqgpb4a2YQbgm87ZtoljQwACuq6sLW7S/+RuE+i1nvLqqwnxiMl2Luw/00+ffeob+/H930O9OaOhnbznoL3qeofJAP5WXY3vsduN7ZWXYkRw/jvtlMkmNfL2D6x9VVIhcjdFRaOIvJQoTsYWi9P3kAWpV+kmnA7lygpDVSvSN+HOkp/knkp5S9Bfq89dNKhyUMDMjGjMPD0OeeZFJJkG4MzO3FpiQyWChqqyEbJ89Kxrc2Gwg9+tF+Eb76Qep/Pfg+pb2wIEla+Zrisg///n80SpEwjPN/TQ5/nvDBtikqqpuPuynvFy0fLPb5zfLZLMgV6MRz+Rm7eTBILRtsxnjf/llPOeaGmi4Wi2Ee3oa7xVhES8ItxuLSkkJkevkUfpPR3bSXScOkyUdIoVUMqdC9MXAYfpR9056OHSU9u/H+H73O9yvbBae/GxWRq7cCXC7Ie+VlaJTvNdL9O+SiyPib2aev07ik5M4TkUF0R9mXlrw+wZK0R+pLxIR5j9nYSeT0Mw5LJhNHqoKMyv7ym5FKx8exvHLy2E24RID0SjGXVEhAgE+07fwPaBUiuj5529+IDlYU0Q+X4VBNqUw2ZpMWB1dLtyn+ZKACoHT9MvLRS30+RAI4DNu983Z32ZmYDbhqJyf/xwr/D33QFCCQfQUfeIJEHsyic9/8MHNX9NicPo0BL4y1E8HfnyADKko6dTZwqinFJmzUfrf2g/Qo/X9tGED7JHhMO77wACelyTy9Q+3GwReVyeKQiWTRH+QeulGLXQODJSip+lFevBBoUGbzYgusVF4Uee3X/tcJiOiWHh3Ho3i5+hR7BTYvGK34++btZNzw3WXC/JuNOJvTruvrQUHvPYa0Xe+Q/T70YXvAaVSRC++eHMDmYM1ReRvvJG/4iE7OHOTVtj5lkrhod5KuI9GA0eG2SyyPOezk/NCEo8v3o49NoZymx4P0UMP4RynTuF63ngD9vbtpn569CfP0F/+tYPeekdDH3Q46GunnqG3X+ift97JrYDH3thItOEXz5E2M78Q6rIp0vzP5+mee/BcLlzA7icYhE3daoWtdL1WhbzTkUyCvDl5bmQEpKbV3hwRx+MgXKMRCsDgIFFEWSAT7xrCiu26r4YjUSIRYS/PZKCV//jHGC+bV6qq8HqhVpH5MDYmSg4EAli8PB4oMNxEw+MRRcIWew8ovMjPFUBRiFxRlH9WFGVKUZRldcMpSmFHJ6/k3NjVbsdNjsVuzazCqK+/pp1WLpxIxHUgVBXbqoUwOgr7WjYLu9rdd+O7FgvRq68S/frXRB9LHqXn3tpJD1w6TKYkTBuWdIg+MXyY/uqHO+nK3xbXxtLVhXvW3Ey0+fRLpM0uQORqira0v0gNDVg4uQO60QhTCy+shWLwJdY2pqZAnuyg7OoSducwLZKIyXa9fEY6LToGvVv3FUrS/JMuSXr6ofbp61Fl2SzOH4+L2kAcNnzxIo49MIDFpqZGOOoXi6tXcVzuXZtKgbQ5g3RmBpz8wQfQ9hd7DxZMH18AxdLIv0tETxbpWAUxPZ3fichFrVj7Y8cJd/y5FbMKo6oKC0RpKVbh+RaEVAqmEZsNdu35VvpgEHG3ZWUQNq4zMTgIQQsGiSqC/fSXZw6QPhkl3RxC1akpMmai9PF/PECJruKEMHHUDIdqGRKL0xIMiTCVl8MBn0gIx9fQkJgkMnJlfYILX5WU4Hd/v5D7HyiLI+KX7U9TNApttrYWx9q9m+jljc9SWpn/+2lFT89lv3U95FhVRRXFdBpknU5jbo6O4viBAMyHpaXYzS/WTu71Yl7abDjGhg04JtdU4ebSXi/s6JkM0RHTwveA9Hqip59e3CAKoChErqrq+0TkK8ax5kNuC7dccOalzYaHaLHgIXF251KyqGw2CJbVCiKfr3hWNovtIaclX72a/3PpNEIpdTpovqEQomu6u+Fdn5hA7Pu3Nc/dQOBzoc2kKPZfl+YoYXi9+KmtvdZCy7D4re0rrxA9+ijukceDY8RiIjlI2snXH1ib1esx37jpC+cYPEfPUmoBEkuRnr5j+xbNzMABWVeHLj82G1Gf2kJ/6jxCUcVyAxkmSU9RxUJ/2XKEhnQt17NCOV0/HodGzDv4aBRmn4kJzLnLlzEPKyogr4vJzRgYwLVypigRFDe3G4QeCGAxmZoSCYj/VLLwPSC9Ht2ll4DbZiNXFOWgoijtiqK0ewrVoF0Ac4syEYlwI7ZdZzLY4nNx+rq6+e3ai0FdHRYFrp42HzirLBbDCp0PFy5AsPbsgc2Nq79dvIitKRf5enT4pRucjHOhU1Nk+fnSHCWMkRGMq6wMQnlux1cotYBGlFL09KrjaersxORpacEk5vT+zk7cf0nk6w8+H+YFE3lHhwhGSCRAxAfoCEUoPxFHyEJfNR+hdFPLdQUpFgO5dnVBht7S76f9tR30PeNBCioOypKGQhoHfd9ykB6wdNCRyP7rjdJzd8DZLI4ViYB002mM97vfhbLC5ZcrKzHWhcJ5o1Eh05EIyn5MTmLXyXHqW7cSHTwI7ZxrpF9VWujLuvz3gPR6HPDIEUycJeC2Ebmqqi+oqrpXVdW9FbfYtK5Q92nuwB2N4gG2teEhlpSAfJeKhgYsEI2NuPfzaeWRiEgtzmcn7+/Har1lC7aSk5PQxq9eRelLjQbbSo2GyJBanGlDFwsv2ZmYTmMMDoeoB/HWzoW3tqpWT69t/db1vonbt+P+9PQg2mdwUIRmSawvuN2YZ3Y7lKf2duEnYnl8U7uf9uo76H/pDlKQQMQBctD3jAfpEUcHfejcT6GQaKDc1oafcBgKjctF1JNpob+0HaK2igA57Rna6ArQP951iKadLdczi3P9Z6yZR6Mgb1bssllo1akUxv3qq6IBykJ28oEBfD8SEYWvLl/GnJmexmuf/Sw+MzYGpYbHcJT20wOWDvoOHaQAOUhVrmV2HjyI1W///iU/izUVtZKvyI1eD8I2GvHQdDqQSSgEAi4pWfp5m5vxu7Jy4RDEZBIrsqKIlZoxOQlNo6YGC/DVqxC6khJEqAQCCDmcmcGkiGoWZ9qI6WxL7joyMYHzlpeLynO92Rb6i7ojFNNYbiD0FOkprrXQf73nCKkbW8hggGATYeJMTEBL8/vxLKSNfP3B7cb802qhvLB9fK4fqzfbQv/Rcog2uEDEddYAPWs8RCOGlusZmaw8uN2Qfb0eO9bHHxfVRSMREHAyiazJe++FvFqtWARUVVRGJBLdiTIZBC3odJBxzsAcGoLyZLEUblRDJGLjuTDeXXeJkrnT0/jM1q0g85dfFqSv1Qonf2+2hf5Mc4hKlQD99/+WwWQ/dGjJmjhjbRB5fz/RM8/QCz92UIY05CcHHaJnqFXpv54GTgSNvbQUQpDN4uYWA6WlIvqitHR+U002i62bqkIoL1zA634/NNbSUmjcnHFWX48VnDMpTSZRoP43rsU5i35hfZpOn17aNXIXFZMJ547HsXN4TdlP//bBDvpVLbSJzDWN6of2g/TMQx30ln4/Xbggak5PTsI+Ho+LYklXrkiNfL2B+9Pq9SDS8+dFkSwikB6Da6jktnpjWef8DLZV9/fDxBiPY/6wXZrB8eHnzkEhKi+H6ZN5IPe8XK5jfFwkp8XjIHAOhvjtbxFhcvw4woC5TVwuRkag3KRSOFd5OUi8t1c4ehsasABduoT7wIX0UilRAZSLhX3+80V/HEULP/whEX1IRJsVRRlVFOVPinFcIkIk/86dRIcPkzWDWg0lFKI/pcN0XkXRnGxWhGE2NkIgrFY4DIsBRQE5pVKIYlmIyFlziMUgKB4PYsONRmgRWq1YtRsaUJR+elrsKhIJ2Kl/2fYsZbULeO1JT4f036IXXyxseloIsRgWH2407fHgNY8Hr5l3tNBf2Q9RmTZABk2G6m0B+g/mQ3TSC21ichI2RkWB0FdW4jhDQ5iEV69iQnF5Uom1D470UBQoJydOQO65GTmD64tHoyKNXVUxlzj3gwiyZrNhqnMrwakpKEJ6PUibzZqpFBo3+P2Y41YriHmuyVNRIL+JBOSbS+h2d4vm7dPTkF2fD7tI7kTE4AQgnw/WkG3b8NrRoyKwghs/j4/DpBiNigWOAzTYmWqxYF4UG8WKWvmyqqo1qqrqVVWtV1X1n4pxXOrvRx0CbgmUAy6a852ZA1Tm77/eD3DDBghAc3Nxa2Azkbe0LC4mPRDAz/HjKPeazaKQjtEIUhscxPZuehrx1rEYxh6LYZuo0RCNGlvov++DaWOu5ztFeoppLPRvK47QoLaFLl1CRuitVEYcGRE+BSKMifsmlpRAQMfHoVlwTWW9HsLd3IwJGA6LetFcw310VLT74iw7ifWBqSkRaOBwiHoj3F6NS2WwuYPT5Tlxhz+jqpgPFgvRl74Ect+8GcrA6CjkprkZJkeuXsok/OGHwiRjMmEcuchkxOdDIYxHp4Pcnj8v5kpTEzT6ujrMz7NnhWY/PIxxWK3Cr3XhAjRyjmhLJKCdv/UWFiQusscLT67ix01vio3VbVp57rkFq0/pKEV/Gn6edDqRLptMFs+swqirw3FbWhaOXCESzSa4t+DHPy5K4Q4Pi0Xh3XdFQwb2hHMIXzxO1F6xn768rYNerjxIES2cRUHFQa9UHaQ/e7SDzlbtv95F5ZVXbr7ziapiPNxkmrUXrpkciWBMbOM2GoVDlIslVVcL2+jMjNDKw2EcNxzG9UgiXx/IZLDQs78om4WWyT00mSB50eeWbgaDSI1nmWX7t90OpWdoCHOttBTkfffdQit+5BEQLmvy0Sjmz8QE5srcnBpODjKbhXmDc01+9zvIaE0NrkWnQzmM3bshr11dwoQzPQ2yb27Ga9//Ps69bRvmBpeYjkaxIJnNOF4wKBYtomsBDIb85pulYnUT+UsvLUjkBkrR/ukXKZ2GYLH3e/v24g6FK7LZbHhYC5lXWIhtNmgAPp947+pVLDiBAGoyEGG1v3pVbEUDAZiJTCaiIV0L/afSQ/THnwtQ64YMtZQF6H80H6JhfQvV1mKVT6VESNXNECabUdjG6PFA22LBZzMRa+MGg2gWkMngfJzmHAxiLP39MEGxySuVwrVJh+f6gNeLZ8utEIeHZ7dfZCJnAuNCVmx2jMchW+k0XuOm3okEyJJLanz600Tf/CZINJlEfPm+fTgmVxvl47PmPzcYIfdzoZAofuf3QwnZtAnvRyLYdU5Pw1wzOAiy7+zEmO69F8c4dgwkX10tPs+EXVIikpI4ii53h2y3w1H6kY8U/5msbiJfZP0BSyZ83ZkRi0EIihF2mAubTcSmW60LZ3hqtRCOiQlcxvHj+HnrLREr+y//AkFoaMDxx8fx2+vFtTQ1oUB/ICC6jVdW4tjxOF63WiFA6bQQTnawLgZDQyKOXafDFjEeFxqPxSJibNmJzE4crm3BSSCJBJy3bA8lwgKm12NiSI18fYDNZ9ksNOfTp0WNk3z2cSZS7mjPZhaL5VoGsUEUukokUKOnsxPyXFsLGc9k4GfiwAO2s9fXg4xLS6FsVVfP3jHzYsG2cp8PZK/XQ+G4cgUmTYMBc/H4cZh2jEbokRYLdtMmExyZx45BtisqMNfYoc8lbbnPqE53Y2a3omARuJn5uVisbiJfZP2BqNZ23fudTuPBMjkVcyglJaJp7Hx2Lo5r1WhAtiMjcG4mk3jgdXUIH+VYa5dLhEoZjfiO0wnBnZzEtTidEBqjURTmYq25pkbY/jweLASLcahwZIDLJbQprujGmrReL2Js2Z5JJDQPHoOqCs2EJ6RGI+pCs91dYu1jagpzIBTC75MnISuFdqnJpCBztpunUpA/rRZ9LZ98EgTKJTG0Wsjmb34jYsp9PsjT/fdDpiIRzBUmdqMRc5QXBiIRPWI0Cns6E20kItq1NTbiOB98QPSDH8CGHgig6mhJCRScvj4oZnwtHJ3G1VFzy+jm232qKj7DEXDFxOom8q98ZUGDdIr09HrF05TNYuvicIg+gMWERoNVmIvSz+e0yGaFoyUWw+dCIRDd6CjIcnQUC09pKT4fCECA2d7n8UADsNuxpdy0CcdwOCCUwaA4ZmUltJZkEguE3Q6NZqFstZER0YSDCGOYmRGleFnwWbtm7YaFlkmdu5+n04gI4BIFvPiwYBepq5XECiIUEtEaqgq56+wUMp8b/kckbOQ6nUhr5xDCVEo0OtdosAO9/37Ejz/xBNGf/inmclMTlJ9MBse45x7R7WtyEvPJZhPmDb1+du+ARAKLAYcj8u4hm4V8ezyQ9127MB/DYVzfrl04Z08PciS4wYtGI1Lz2awzMiIis7hBOZFY3FixS6eLk9syF6ubyJ99dkEiTyt6+mn9tyibBXHYbHjwywGHA4JXX79w5Aq3lopE8BArKrByt7bClMKt4VioOQbb7xdV1BQFWgoR+ndGo8IrnkhAMxodxet2OwTl8mXRu/DMmcKFu1QVWntFhajh3NsrnDOBAM6T20GFt8Fs+zQacR62iyoKJgGnM3M1So5Ll0S+9sG7M56W4+MgtYUyi7ngnNGIecCloaurhYb/5JOQ4VQK/7e0YLf5+ONEDz8sFoloFN83GiFX7H9hpzqbPlnRYkd8ri2ezYPhMDRttxshlHo95kF9PRytb7+NnTGHHE5NYc5cuIBjbd+OueL1Cr8R++qIZvsJ0un5S3csBaubyFtaUIfAYrmB0JOkp5hioWebjlBvtoWMRhA599lcDnBxLnbIzEfmnLpsMEBjSachPJs34++xMazMLGBcI9lkEt2GDAaYZAIBfN7vxzFsNuHUicWgDXCETCgEgduzB8JdSGjYyVlfj3NzvLfFIlKM2Raf67BJJPBaaSkWTE6QYnMS0WzNjHcjySSOKx2eaxtTUyBlJtP331+43rzRKBZ1k0lo1iUlSMffv19UEuzrw/EzGSwQ4TCUH4cDjsJdu4SphKueJpMgUiKRh8HOeSKijdRPzyfR/Dkc09BUwkH/T+gZqgj2UygEjdvvxzx7+23kfrz2Ggic29ZNTIDgy8owJzMZYeLh+kr8wzvXXLApSKMpvv+OaLUTORGeckcH0cGDFNOLzMIXTQfpU40d9IFtP6XTop6Cy7U8WxciEDNXUzQa57eTp1KikmAgAJPD9DRI99Qp8blwGNp3MinK7k5NCe13ZAQLwYULwu4/PT2bNNmGbjLhvNw5aPNmkOfckMRsFpq70Sj8CpwcYbVCcFko5wYNsS29slIILRN9brQCv87RCokEtPTh4Vu69RKrAOk0ZKSyEjJbWkr05pvCPp4vh0Gnw5yMx0XmMIciulxQBsrKiPbuhSLBpR0yGUx7jQYkmE4j3G/HDpCuyyXyRLg9Ikd5sY1dUYiepKPUQTvp69nZzZ+/mjpM7/p20n2+oxSPY36yP4ej0h55BCYe9v9otVgoUimMt6ICCw8rQtz8nZUVnqMcv06E+VXM/BbG6idyImjmhw7RFz4eIL2SIZcmQN82HaI+tYVcLjxUmw03qKJi4XootwqbTWzpbDY8oEJkrqrQepn0u7qgKb/0EohZq4XQhkLXSsYmZxept9lAxBzbPTYGYZiYgFBx1EgsJrZ0vKUcHIRW0dqK83d20qxaLBwJc9ddIizy6lUcb3oagmg04pi52ZgskBYLzs82wdy4YSKhkfv9GD/vOsbHC5f2lVj9YOdeSYnw/Vy+LMxq+YicayHl+lF4J9vURPTlL0O7P34cWjkT+rlzcKJWVYlw3fJyEVVVWoqQXU6wi8VErSA24bQq/XSECjd/tlKUDvsPUH2inwIBnGvPHphUOApMp8P4BgYw92IxhCK2tkIp4aACTkbKjdLh+8E8odOJZhfFxtog8mvglFd2HJSU4OFz6KHDsXxmFSKQq6KIRhBzs7bmIh7Hw25qgmBNTsJS1N8PoRgdBXFz3Qq3W2wRjUYQMtepYMEKh4XDkUPAOMWYM8rCYSRKjI5iYpSWIlttchIE3tMDk0pNjbAp9vfjnBMTIkmDF4tcqCo0qGQSk7S8fHYJYZ7Qqip6mHK3lngck/NWsk+XG2fPEr3zDjTMN94AYUjMhtc725zY3S18Kbnx4wyO655rJ06nITuPPIKUfIsFUSI2GxycW7aI+kNnziDkLxbDotHRQfSZz8C2bjTiN0dxDQ0JhUhRiL6lLtz4WEcp+rb2eSovx7Fqa7Fb8HiQYFdSgl1ARweUnLo6ot/7PSwaV67gvOXlIrQyt2gXKza8s+UkqNz6UMXCmiJy3qorCm4GE2QmIyJWlsusQoQHzNlp9fWzH1Sh8Y6NgUgbG0XnHa0WZBsOCztfIiFibFMpkPbUlAjzC4fxntOJ6w2FhMByOBdvOfV6ENPZs9Am7rsP5z59GmRlNEI4ua1WOg0CdzhE3DdPiFzkLpgcNcPZany9bHohgpCzhsLXceXK8tSaWAp8Pjwnsxk7OqMRC9vcCIw7HV4v5Ivr6rz22vz3SKfDPeWwVItFVBCsrkZo38WLUGKam4UD/2Mfg5LBSgl36IpE8L0vfhFJO6ylu1z4bDQqktPMZqIvZxbX/Pnjky+SxQLFyWrF4vLQQzj2zAx205z9/Ad/ALlvb4fMsPLIyT88d4hm71R5DlRV3XpNpPmwpoj80UdFuUqHAw+T63/b7ZiEc+stFBs2Gx5oaysezEJhiLGYMGt4PCKhYXoa73PfPybAXE879x5kss1d6XmbmkqJqmzsiCwrg0APDkKj4eJcIyPYsnJ/RZ9PRK8kEhBGNpVwfHgueBcwOCi0b3Yszb1utp9z1AsnNPn9cJCtpmbMPEnvvRfb6h07cE8nJlZ6ZKsHXM2yogLymEhAUSASIYZzYTDgvrKmyrZujQb3+epVyFJrK9Ef/zGOzc1jzGaxM3ziCczr1lbM+WPHoDl//OP4n+3tzA1cE32xjY/N6TCVlmJsHR2QzytXsON47jmiX/1KNFxubcWurb8f59uxQxTI02jy5zBqtcKG/6lPSdPK9ZVNo4FJhesIc5gea4vLCZsNi8eePULLnI/Ik0nY1/r6sMI3NIiu2xYLtp6sbXPiBBNpLAbi46iAaFT0JGVHJRG2t9y9iB2sqRSE0e9HzeWLF3HPdu+GieX8efzWaDA+k0k4RTOZ/BOTwws55pevnx05uWYm3i1w6zterIigyfT0FOVxLBmpFBbaujpxHWVlWGBX285hJcEmv/JyyNTlyyB0jqOeCzarcPhrbhVAm02YV/btgxOTF1K7HfLq94viVleuYFHdsQMK0NgYzDJbt0LuN2wQoceZjND8F9v4OES26/XGQyEoPOPjgqDZmVlfj2vu7sZnWZmbnhbWgtxwXYZOJyon8k6j2FhTRM5mB71e3ES/H5OQU9e5MNVywWbDONrahLe8kJ2cbcxTUyDN1laQLDesLS/Hys5aNWvdue3rmLRZ+41EhDbOjqNkEiRcVSXaWzmd0C6sVmxbH3wQcbqf+xySi0ZGYGbx+UDkvCiygzNfydlsFtdcX48xTU/j/udbyNjhyVo9T+h4HN+9dGnhhKXbAa7M2Ng4+/WmJtwbTh650+H1QgPlNobd3bM7Ac0Fh+dy1i/bx3Pn6Cc+AZll6PWQU+7aY7VCRi5dghYbCondZXU15LqsDJ9vaMD80utFs4sf6xZXz/8HmqdpYAA+JS6853KhJsrGjaK37qc+hc9wKY2tW0XjFC7QNRecCV5Whrn/zjsLdyO6FawpIuewPbMZmqHPJ7YsWq2IJFlOcNUAqxVbQTY35AMn13BVwKEhUQuZ419DIVFAiLefnDlpNiNg56678DpPJA7v47KhqoptKmfIjY9DsP1+kDQLPIcUbt4s4nE7OkDqQ0P4PNvG803Q3BCvSESUq+WJyVthIrFT4QWKNfRIBNcVjSKkcqUdn0ND0Ja4FyNfd0ODqKm+GrDSpiiPB4pHIAD5GhnB/Sm0e2MzB+cXsExbLCC05ub8eRhsjmxsJPr2t+HYzDUbPvCAUBxqavCczGZRs5z7c2YyRH9vWlzz579V0Pw5m8Vi8OSToq9BTw/GyYT+ve+J6qpcs599Sdw8gsH10Ilw74gga7xQFRNrisjdbtHkYcMGrNalpbNv0nKDiTydxsPlLVUhaDSC+I4dwzU0NECrvXwZE4PNJbkF91VVZIhxVUR2lBKJjEoO6woGRbp9MCgibE6eBFnniyjYtg33zGYT2gQTcL7JaTQKsrbZ4LNobsbk5MmVG1POP7mdYXgBLikRC00+8Pb91CkUGnv9ddj7R0aK5yzy+3GvnE6c4513iH79a0StjI6CGLgm9kqBS7i+/jruRaFM3eUEt/6rqMCzu3wZ8swt3uZCUUTYKe/ueEFvaIA5pbQ0/yI5NAR5b2gQTsfSUhD4E09AseGdqUaDzEouuEUkOv9YLEQeRwv9K33h5s9RxUJ/bDlCw3q0nBsfx842HIZy0t8vyvU2NKDH58CAKAPi8YiuSLk11hmsXPLulp2dy5EUt6aI/GtfE62dnnpKNF12OoUdarnByQKZjLDtLUTmTGhuNyZCMAgB4cQfJk52HHIBILtdxI2z84eFhttkEYltHXcx4cQNux3Exy20cuF2i89xph6PtdAOg22EXLY0dzfBhYByBZkXA9bI2Wzj9+N+OZ0ghdyqiMEgCOuDD+BXiEaxza2sxFjPn0f23ULb08Vo+sPDGP/ICO7nrl3YrdhsiFTgzNul9kO9VXg86ITT1YVnNDWF+3K7s2O5n2V5OUjW5xMRSflMcDw/OCuYa+2wmYGranZ3z174x8eJfvlLYWLRIf3VOAAAIABJREFUaqEZKwoInrsREUEOiaBIVFcLWayvFz4OoxH1/HdRB71As1sVfld/kJ6o7qA3dfuvJxD5/YhG6egQEV8c3DA9jTmUzcI0OTMDJYwVqLlmFd5dc2ikToexm0yiTkwxUWDKrk6YzbgRW7fiwYXDdD01nxseLDc4VptrJ3O9h0IOT96yE+E7g4NCqNkWzgSdG65ksYj659xAllPhcwvVcwQLF/tn+6DbjR3D+LhokltRIciJIzI4/pzNKkT5tXHWvrgjDHck5/Hb7TcSTG48Otv0OfU6lcKEC4cxcXbvhi10bAxj3bIFWg8vlOwcCwZB5qdP4zu1tbPPGY9jcRgZgVzU1eEzc5PEWNP1eODveOABEd+7cSMSqoaG8L2xseVJq54PkQh2UxYLNNiqKjzf9naQ+b59WOBuB7isstGIe8uhr7FY4QUzFpsdR87OwupqEWZ75Qr+bmwUtXhiMZhT+NpMJlz78DAWWa4n7vPheNwe7v33RaZoMonjpdOQse6pFvpm+hB9kw4REWRSS0SuLExARiN+h0KQaSbmbFa0dvR6Rd3+QAA7NS4HkFt7iJsts4+Ldy7pNOSWTZ7FdniuKY28q0uUvezrw82x28UEvB1EToRzhkIQGi5tW6juSiYjUndZ01VV0bg2l5h5UrANnaNZ0mmQuckkyJxT83OJPBgU8axc6yWTAUHqdKKFFTej5bBG7nLPYYP5TBd2O469aZNorqzRYFfC2nghmyePjzXzqSmRxbplCzJPf/xjLC5tbYgjbmvDmCcnkdz05puYPA4HSNfpxPVwyr+qQibefRfE29iI1y5dgtmEMxA5fp+rSzqdqJnBMqSqsItWVIgyqdwt6Xaivx/P4qGHhEOwrAzRGgbD7fMvqCoWkPJy3P/BwRtDS+ciN+OZTS8mE5LTmpvxfL/wBRGwwAuC1SqShHLR3AxynpgQWjlnJBMJDddqFWHIXJ0xmRRmRgb7mDhyjHfFXOOFnfCBAORrchILaDwO5WJyEjLMTk4uoZ1bDoojurJZjIfl8/Rp7ESKjaJo5IqiPElE/5Ow0B1WVfW/FeO4c+FwYEVra8Pqxh5w1giXKzU/3zjGxzGxSksx0QvZLqNRfJ7thrmpv7zwcJgig21+rMnyd7lmBTtJucYykzmTfTwufjscyFLkdPquLpyfSwQQQSjn08aJ8H5ZGYRyaEgcj5tfcDXHfDZTJnEmAG771tOD6/D5cL2f/KTwd7CmPj0tasGfO4fP7tgB8j19WnQo4uYV1dVYXFjj4ep2PT2ir2RpKf7v6kIscm7Z++5u1MDW6WBqmZrCd9gccDvA5p6GhhvrclgsWPzOnMHzm7sjKTb8fshhRQXOyWGIXA9/LnKznVkT5VpA27bhedfVif/9fvhaxsbwHlf7zEV5uQgHravDPLhyRdjgp6dhOw+HRYKOw4GxhsOipECugsIkz/M2mRTK1vS0CGXmAIqBAcgYa925xeQ48SnXRMhKjVYLOdLrsQDs24edZLGxZI1cURQtEf09Ee0nom1E9GVFUbYt9bj5sHMnJjA3NuZ63qmUIIDbAY7SUFUIOIcI5kMyOVvb5TKwnJ3KrdNyk304bI8/X1aG44dCwrHIphgmeT4XJxjxPaqsxPFefx2ToLsbGrCiiAqIHo/YGRQick5+CIdFhl06jeMSiVIC+cA2fN7ysoYzPIxdwe//PsiJ7fiJBBrrhkKI2Hn0UdhMW1sxmY8fx/j37cPE7+8n+sUvMIa9e2dvW202jFujgbP51ClRVa+sDETNWv3YmHB09vTA+WkwYIFgm+ztwMAA7llLS/73a2pwXb29y6+VT00JbbWnR5gB8yWCEQmlgs2GrJXW1opoDdageWfn8+FaHI7Z4Yi5x2xqAsFy9AyP7coVvP/pTwu7PLdlJBLdgdiEkgtu8ca9PNl0m0rh9WBQmAttNrx+/rxoNJ7Ngqi5TydHr3ACUCYDfrj3XpHcx4pBsVEM08o+IupTVfWqqqpJIvoREX22CMe9AUYjhHtwUGiAXCzrdhI5a9KqCgHjKI7c7VuuZsJmEINBJEZwHeXJydnaOKfsc8QKr/Zs8phbZ5lDu/g8LIxc50VRMHFGR4VpanRUxAEPDIiiW3xNc6HTYYKxSae1FWnSjzyCMfEk4ay9fGAHLschKwqSqqqr8Uy3boWQDw1B80smsWg3N4ut+tat+I7fj3un0WB3VlKCxTWRgCOUY/OJMBFffBE2VC5YxI0CtmzBQnfhAswsb7whMg3vuQefefllvJYvgSkSAbEMDuI+FqOVXTqN482XOKIouO5gUDQwWC5MTYEYuXKl1QpNd76kMc43yGZFdqfLhftlMmEBJRL25wsXQI5tbYV9Tc3NOPeFC2L33dODxXfjRmi5LhfGW1WFc/BcMZnE33PlkzsVBQKidwDPVd7l2u2Qu7Y2zP3cEtYGA54VkdDueWfK+S7t7Tg+l/NdjsW3GEReR0QjOf+PXnttFhRFOagoSruiKO0edoPfJDZvBnkMDIgaK1yw/nYSOXu5Uym63u9Pp5vdXi43kkWrFY0leLvmcuUv/anV4jPsTLLZREIBZ1ayELFWxN2IWPA4BdjnA2lrNDjf66+LY/b1gcy5SBZR4Qp2djvOz9Uc9XqMsbFRVJtkbauQkLJ5hbPvuG5MPA5iaG7GGF97DWPatSt/KnNtLci/pwffHRjAsb70JWjtFgsWrDffhEb9d38HxyU7xhUFJhqusDc4iPv7gx/AVFNVhfOWl0O7n5nB652ds8v0njiB4584gazZzk4sIu+9t7QKj8PDePaFtHFGXR2IbTkzZBMJLJqVlVjUOEIjHJ6/YQmXLmbNnGsNcSRQbo9YnQ67L7tdEGI+aLVI6+fiWbW1eH4aDe6VywXS5OgoTqnnMEjeLfJOgcfKQRLszOeuRXY7lDT26TQ3i5riJpPwV5WU4Pu5OzaOVuHkwUAA9+Dee6EgrOkytqqqvqCq6l5VVfdWVFTc0jGqqnCTWPNhLdhuX56bUwi81UynZychzHW28phSKQiF0zm7CD9nhuYik8GD12rxPncc2bMHZKrX43y5oYe5MazBID7H0SKRCEimrAx//+QnIJr+fpBALCZi0QsRudOJMfF2kR2wIyMQULtdTIpC4EbNvEgND+M56vWi/nllJXwPySQiEgph2zac7/x5TGrug1pZCTLnLuXc3UVRoLE99hjRgQOiS0wyCY37jTdEvfiWFkzObduI/uRPEEGRycC+zovemTPCUfvQQ6iG9/jjIqb50qVb64aUzeLZsO9lPigKiCsQWJ5MQSIRdsglmZNJYWvOF3bI4Poq7LRva4OJjP0hvb2QgdFRUSZi8+bC2jjD5RId7rkGEZO11Ypj6HRYWC0W0USZwwh53nHoLgcdcJcu/p1L6hUVGPevf43xsi09t1RGf7/gJH6No9J4YaiqQhz8tm2rt/rhGBHlBmfVX3ttWdDVJdJ+y8txw2+nNs6w2/FQucZDNitWdgaHAmazID1e/V0uEYObK7y87dLroelzrRKvF9+rqRFZbLmx3rlb3GAQhMINkJ1OvP/++xCqoSGQH99Dk0nEuRfK0ONEnsZGjOeeeyCQFRWigmKuBpQPnBjEf4+OgoBcLpD35CQWlrvuwiQcGcl/HCJM2o0bQaihEHwnPT1wUr7xBrTiwUGQ+86diJL44hcx5t5e3BPubrR5M2zubP/1+0GkmzZBrj77WVzXlSvY1p87h7Hu2AGCcrlwD3lMDz+M59TdLYhwsfD5cB+55yzH7Pf1iSScXNTXQx6Wq8b71BRklhNf2Kac20w5F7zDZDMGE9qePfi7rg4L5eXL2DGdO4d7tn374htzb9kC+Th+XOyEiXA+NqmwHX3bNizuXDOFs6ZzK3ay/HI7wnQa18gObm4bOTaGeciVSrVaOKO5LWNu6DD/5kxmDkzgaKlimODmohhEfpqI2hRF2aAoioGI/pCIXi3CcfOit1dohk4nbuRKEDnHUisKJi5vI3MjZxIJsfpPTOBBVlZi/MEghCt3QrB5ZudOYbsjwjHOnhUkz3HouWASjsWEgzSVAuls2yYm4JYtICneYvKiwuFSc8FOVqMR28vGRvTE1umg/dbW4jrLynDe3AiQueDwQ40Gwt/bK2Lyf/UrXOenP40ForNzfqdQSwuO4XaDZK9cwUS22TDJ338fmlJzMzTxqSmYSDhs9BvfwPG5QzsvQMePg+B7e+Ec/c1vMF63G+aXEydEjHsh3H03xvH++7iOxSbwsHZaWYkJf+wYFo/uboznxInZpYU1GpCj1yteZ2fy5ctL68akqrhnZjPuczAo2hXOlVtGbjw1a6OlpbhXXJrh05+G87qmBs/hoYcgQ2Nji8ta1WpFe0KtVvhDONeAK6HyLnnv3tlN0NkRyYsNR4yxWZJt6kRiDtbUiAgcVnq4aJ3PN7utYW52NjtFt2zBLrG6Wiz8xcaSww9VVU0rivLviOh1QvjhP6uqemnJI8uDqSlRX4VI2KrYeXI7kVtfpL4e2qGiiOqIRHiYLpewZXOSisEA4mDhYmg0EJAtW7CV45rr4bCIbU0kxOfyxXuz9t3YKOJdJyaEbbuiQjiJbDaMgYveFyqUlc1Cc62sFM7XkRGM/amnoMVyc4zcbWu+Y3ENmVgMi9P+/Xim4+OIXjEaYR9/7z2Q2H335b//bjcmXnc3dhl33YV7zJ3NXS6853JhrNPToqiY1wui3LUL95nLJnCjjhdegD0zGMQCwcWbzp0T9aRz68rMBTfduHgR39++HfeuqWn+cMHJSTyfbFY0Wrj/fshLMIhF5vx5jI1RXS2aB/t8N6a9W623Nj849dznw/m9XowrHL6xTn0udDqckxtONDZC0errg+zzvMkNwWtpgYwODGCXMx+yWcjuvn34+9Qp+H5MJtw/gwGLA/s+2Jzn9WJsPDdzTYncpi0QwPfNZtEli3dpRqO4bi450Nt7YzMV9g/w6/X1+FFVLKxXroi2lMVEUWzkqqr+RlXVTaqqtqiq+n8X45j50NUlii8xiedqU7cTuZErjY0irDA31pgdkWzvZptcJCJsZ6zF2Gx4v6pKvMdmkURCtIBrbIQgsEknH0ZHRURLNCpK4bLmwWFVudp9IVLKZnGuxx7D9zdvFjbgxkaQ7z334Flw9l+h5ChVxcRiG//QEMIGzWZozpzkYbWKKJaxPEa6bBZO0UhEZPPFYihodPw4yHLfPtiQe3vx2eZmvN7XB5KqqSH6+tdBnNPTIn6YyeF730M3p/Z2USpZqwU5dHUVTpUfGkJSUiAAk05rK2zu0SgW+3x1b4jEDq26GgtAIoH7yo71ZBKLwdgYzs/mDq0WsjI8jJ/aWph3nngC9/H8+Vurz8JKUzaLe8yllycn598psbbJ2Zx79ogdaKHU9NJSXHdutFEh9PXhvu/bByViwwaQo80GGb37bizQBgPkkcfBzZ6ZaHOjv1IpLLYGA+4zR0mxpp9KEdXG+unvss/QRNRB8ZSGPEkH/U3iGWpK988ySXLUmNUKhezRRzHWXbuwoO3cCVksNtZUZmcqJbqGcC/MW/SbLhm5canl5SKOtKRkNpFxSFNTE7qLNDSIDiu5RMxdwe+/X3TlZqeSwSCIksMtE4nCJXs5nZ23g1NTIBauUV5VJTIfueh/IZunXg9S5bhxkwkmiro6RBCZTJgEZWXCkz9f3RnOPDUacR8+/BB20k2bRN9QIgh7aSlME7k7hUxGRIYwaZnN0JYnJkCUL70ErZrLN0xPQ2Y6O6Gdb9gAkk0kRA/WkRER+ufxCG2aa+NkMlggR0dxL+JxLBq5YxsexvnLy+H8fOQRjDGdBsm0tYnwyrn+iMlJcX1jY1gwS0rw/7lzcNyeOQMfwLe/TfSP/wjTy3vv4fq6u3GezZtx3wwGkBrvWm4Wk5NQAEpLsTMaHsa9YPPFXDAplpaKTE2bDbLB4a3zlTnYsgXy2ddX+DORCBbm2lrMe40GWb6bNkHDr6/H+ZNJ7NDcbtyHigqxC861jXNjmNykIlUVtYBmZnDvHwoepVOJGxs4fz1zmM5mdtKTdPT6Lrm+HvNUq8WzeOABJJ05nbgPmzatXmfnbcPv/R60lFgMxGE2r4x9nMF2cm7+zMLLwsKOFZ6cLIAGAwSJw7nYNu5ywZQwNibsi2xv/OxnQVpccyWZFM6kueCiWpxckUrNTqvncCxeLDiRYi40GlEQ3+/HcYeH8fvuu8W5N24EsVdX4//5dkgcGsZ15ZloWlsxltFRce/YV8DOyNFRkFlnJ+4zp9GfOQMC2LgRGpDLhXvW1YUt9fAw0Xe+Q/Td7+L/zZvxvV/8AsdtaxN1WcbHca1OJ8iFfQpsMnvlFXzmvvvwDC5dMyKOjoLwKith+mDNdNMmXO/YGI61fTsWnJMnZxOi242F+coVPPfWVnzv+HFoqryTYRLo6sL9bmrC8+CiUrnKQW6Ux804XrkOCu96jx0TjsJCYLMC5z9oNCA13o1oNPNrotw+cWCgsMbf2SkqHjLq6/Fae7sIfJiZwfPx+aDEfOITIq6d47uZxPm6xsZEH1BerDQaog3ZfvrnYP4GzvprDZyP0AFq0/ST3S4I22yGfX77dhz/0iXcm4XCSm8Va4rIuaQrx2hyfPRKgcPudDqxM9DrhXmFU365bsqxY5igdruYFFzqkh+81wvtUKsVjWXr6qDR3Xef6FPK9UvyVSpMp0EMmzYJZ2I0OruHJnc+Ye96vu0+Rx6MjkIj7OjARAuHhTPQ78c1cfXA3OPkm/gcXplOC5vpK6/Q9UnQ1ze7KFg0injtU6dA2L/8JbTSkydhG337bdyvWAzn//rXsfBwWjc7dHt7QWZVVdC2338fZoeKCoQklpZip8H3qKUFtlbeBTY2YjzT00Q//SnO2daGe9PZiWNx7Hnu4lpZKUoCZLMiecXrxf0kwjm5nksqJfqpsvmGK35u3Ej00Y9CIzeZ8D7bYtk3MBdbtkC+Ll4sKMY3YHgYi015OY4bCAgzX25toLng3A5OgNu+XTgRDQax0BfCpk04dr7G18PDIOXNm2c7C+12KHcc788t265eFXPSaBRRSFaraBTBJM6OWXa4cr5DeTnRn2eeI90CfT/1lKK/UJ+/HqabTkNx2rMHsjc2hvFt2VK4suhSsaaIfHJShPFpNHg4heyxtwMOh0ix58gVs3m2VsRJD0QgwGhU2Og4Q4zNNOXlRD/8oagMaLOBCD7yEXynrAwEw1o9J7nMBdvBuYgQt5MzmUBE3KszHF44LZ+viws47duHSVBTI7oMjYzgXnCBIl68CiUH8fWnUiAnn4/o5z/H84xEoIF2diKRx2rF65WVmMQ9PVhMpqYwvro6nN/vx73hUM1QCFoqJ2MlEtCkuTECb/9ZCxwbE1ELiQSI+eWXRfVIjlJIpRA9cvQo/jebsbiYzdDE88kja+W826ivx7WMjmKMnJ3JtXGcTtyDRAILA5ujZmZg5vroR0GSXV3YVRw/LgqmzX2WWi0WnEhk8WUGTpzAb7ZtcyIal1nIBy45wTVIuDSCouBZVFcvPFetVigqg4OzS9wOD2O3U1GRP1qopga7N48Hi0BnJz6/fz8W974+yIleL4jeYsF84vmZzYJfeF5ydMkfphfXwPlfZV6k8nLIn6Igoosd8N3d2JnMlxuxVKwpIp+ZwQTm6Ivl2qYsFqxZazSw/7GtmZM52AbNoX4XLmDizczMju5gm3FvLyYcF6eKx0ECX/wi3p+ZETWd7XbRrIEnSK4GHAqJ5ASdTmytUykQh9crYn4LpVqzmaiiArb7p57C9wIBUURqYgIhehcvgnzuv392wlI+8NY1FBKZca++irFy0hI7Uz/+cfyMjxM9/7yoTLh1K8bf1QWSjEaRit/TI4pJmUz4+7XXMEkjEWzB3W68duwYTAhvvimeI5NpNivMLNPTeI7sLJuZwfdPnhRJMnyf86GyEuTc2yvudVubCLPs6xNOtcZGEHhfH0j05EkRocPlDDh7NxjE82FH9vHj+Zs1cOeofI7juZiexj3MXbiCQdwXbhCSDxzSl0hgfjqdwpyXTC6+Bvf27aIQ2+nTWGSZxO+9t7BcNTZiJzYzAxLesAGL4Be/CDkNBkVGskYDeWDHJDdp4axns1k0PLGqi2vgbKMwZTLi2Tz5pMgyjsWEiWW5sKaInKsI1tRge7rcbd0WAjsbNRrh8EwkMHHYTs4aDJMUa0Wcqs69DDmihVOY2bH4xBP47tQUHC9MwLy95OJaRLMFZWYGWhR3/+GEH3agjo+LdOZ8k5Prx3BihcuFCdXTAzL52Mdg7tmzB2Pr7RVt5UpL599C8jjCYWFvHhsDUXO9mA0boGXp9SCns2dBwtwtZtu1smzcOu+BB6DJ/eQnOCYXMmKbK2t3U1PQOF9+GST+4Yd4jW2iJpPQHrVaXM+uXSIRi59pXx/R978Pk8+uXbjfrHHnQ1sbJjlr34oCk4BWi/Hk2pX7+kA0Oh2eeW8vbKyc8n3sGOYAVwrctAk/bjd2CnMXZq6VMz6+cJ2PDz7A4tXYCD9Iby+IiEu2FuqWxPHZXG9n82bcL04848SahaDR4LnfdReeS2cnFsJ9+xbW6Fta4GR+/HFR3Ku6GlU1OQZeUbDIJBKzi9DxfbJYhMN0aooooiyugXNYsV03VTY3w9E9NgaZbGlZ/hDpNUXkH3wAofroR5e/yfJioNVC++QsU4sFwsEZd5xkw9Xi9HoR2cG9/tjJmU5D0+UtNNdK9ngwmSsqYIZobgYB7NghNMd8k5MjAIxGoV1NTgrtlcuQFtKwLBZMZi6W5XbjXNu2waHIqf+XL0PwH34Yx3zzTTHh5gtpJBJldbncATeLeOghkE4igdd6ekSFuo0bcb9yswu5nyNHpnACDe92yspAJCYT7jdHX/Cz4GJmkYjwHcTjIqLB78dz4EbTmYxIMLpyBcd3uWDzLtRQuqoK58tN0jEY8DxjMdFzNZPBboSjlZjUXC7sLs6exbPYvh07latXcf+Y6I4fh9/g0iVRpphIJG7Nl0E5PY3nYTKJYmRdXcJJPl/ESm5Nfu41yxqqXn/zXXGam7E4t7VBE1+s0sa9dLmOOhFMk/fdJ+aW2Sx2V5GI8DNwXRYOcfb7iX6gWVwD55dtT1MohHv3kY/gGBcuQDa2br25a78VrCkit1ggwLt2rfRIBJhM2eaWTmNldzoFwbIDxW4XCSWp1OyUfTZhMMnU1YEc778fvw8cwCqfyYgGtvX1olgWLxq5As/OvcZG0YWc23QRFdauNBrRicVqBakajTAfWa3Qck+cwCQwGDCu//JfEFWUW2luvobBvBvweGBnr6/H/6dOiQiWV18FGbEDje/P2Bh+fD5oqbt3Y3Ky4zscFsWnLBYQn9uN17nGN9v9uZ7N8LBYVL1eEJBWi/END+N5cokEJjW/H0R+4gTul14Pcs9nR+bkmKkp0UWGZYMTaOz/f3vvGR3XdZ4LP3sKMJjBDAZthuCgDwoJkqBIQiTVKMkqNGUVy6KLEtF2pJhXZq79XV3lOvHyXXHK9U3uihV9Tihff7YSR1axZDOxLduirEpLVqMkUgKbWAYECBCdAAZl0GbmfD8evthDCI1EJ8+zFhaB4Zlz9mnPfvdbntfNSau5mVaoSKSmppIYf/97NuDYtw94+mnuq6GBk+mKFdzXyZNaAfK997QOi9/P+zmRe2X/fq0mWFHBeyENLpzOiRUPE1eDmZm8h+Jb93gurAAmM5MBwvNdeaen68A0wN+3beOEkKgVIxlATqfuFWC16oD38DDwkPEgompiIh+GHT9KfWCkZ0BFBa+9zUajazZdKoJFReRbtwLf/ObcXJipQpZMg4O0+qTDSDCopTClCtBm01a5ZJ2I1VdURIssEuELf9dddF/E47SKjh/nQ52Rwf1LNkRq6vh+btHucLn0gysvXaJGxWhYrVrNULTE163ji1FbS3ItK6PV5HbTakxKoqslP58vjLjBxoOsBuTlKS/n388+y5VXdzf97tIAQya8hgatLSJtwr77XZ1SKOTR3Mz9SaWgBHa7u3X65vCwJjhZFldU6HFLo2hpxnvNNXzppTNTNMrjPPccVRalIlDkFEZD8qgTdWTa23leaWkkYWkCImqXycm6kcipUxxLcTH/XwJoDQ2cTFat0u38Skp4zfbt023X/P5z1S4TUV/P50zIJxZjzKGvj0ZDPD6+RkiixINSfI59Pm4vAmhz6Qa1WHh9pAkGwGtx771cOctEmprKyXnpUi0ZnJTE90qCnqfsQdzr3oWIGruBcx+cuNu2C3W24Ejwu6uL575u3dw1u1lURA7MXvrOhUIUCYeGNHm3t5MQJI+71BLC97EDx1o8OHzUgpozHnwvugPFRmiEEJSiZQXQbRKPc1aX7ukvvEBLKy9Pdyb3+7VQl5CPvEwA97F/v87WGBjgg5adTWIa6+WSIiDxrcvqwOnU6V1XXcVJKxTiSyuTmciJLlmiA2zjQSY4aci8aRMJxDCYubN3L4/54Yd6/EeOkFi7urRO+erVvN5nzuj2Y9Jgo6+P5CcrDIk9GIZecUi5vnQ82rtXB6gjkbN+1KYQbvntDvz99z1obLGgZcCDf47uQBChEXGlUIh6MZ2dHPNY6odOJ6/9qVNakz4xy6G2lpOXz6clfMV6PHSI9661lWN89126USoqODnt2wd88Yu8/rW1XOVEIowv/O533E8gwMkrkeAAbnfwICeEQIBk99prvN5+P6+VNEYY63mRYL1h8BoHg1oUrr9/dioZJ0NmJq9L4upo9WptIdvtui2cYegKcanPcLv1e/WCdQuuSq3Gk87t6FYexGFBt/Lg36zbcZmqxgtWNnAW//oVV9BPP5fSIYuOyBcaZEkdjfKBTUvTrd+2bAFus+3Gu0OVuDvyKNwGq8LcRg/ujT+Kdwcr8XnPbixdqpuySvre66/zZZKGBU1NWgyqr486e2IYAAAgAElEQVSugpwcHl/cO2NVVXZ26vJqIea8PF1+PDrvW5bREiyS7I9Dh/iQfvKT/Fd6YErQEaAVmJREIpA83fEgrpeBAVqCDQ1ccQSD+vOODt3R/NgxkvWSJSSXQ4e0EFNTE18+aSZgt+umF6K/IRZjdzevhWSoNDbqNE6RRhVXmFLA5jjv35/E9P3zoAf34VG8N1yJG4d3j7SPa2jg/e/r430aq9dnfr7We2lv11Ksa9Zoed9AgJ/X1NDVceIEJ4fjx3UFqtXKQO1vfqOV9STIe+QIx9LSwr/ffx/413/VmUyJ7hXD4GQvnYCysnQ7QFllisTDWPGURBeVuA/LyrTryeGYeqBzJiGFgomTllLAV76irebOTj5vkm2jlL7/xcV6pRuNAkejQfyFaycqloax1B9DwBXGf7PtRK01iMxMxu28XlrhEhyfS5hEPk0opX3jInIlAbIVjhCeHGJVmN049y1IwjCciOCvDmyFvzeEI0d0L836elpl117Lhgl3300CrajQ+tOnT+sSc9EfF1dNoktDgqHSrUX8waMFuwCdqSGNlqVEvK+PE8yyZXxBenp0qXtiFxu7Xa9CKip0I4eJEIuRoH/1K1qxH32ky6mFwE6d0u6Xz3+egavqal6Lyy+na0dezORkLY4lmTFdXVrBcXBQS4vKxDc8rDXKEwOxq5wh/DQ6dlVf0tmqvh/3boW7NYTmZp7Lhx8y7a2pidklo3VOJKPp1CmSTHe3DnLabLz29fWctDs7dXu6SIST4x/9EYOcmzfzekjco6GBWT8DA7oq2Ofj9dqyhd/fu5fjCoX0eZ44od1HnZ28n4WFnBRiMe6jp+fcLlICscYT2/x5vSRBIXJpqDLX8Hp5vxsbz/18wwZa5YCuSVmxghOeFDsNDXESlMpUKforKSFJS/2KpPdedpnuHFRZOT+uX5PIZwBZWdrCk9L19nZg3e8fmrSYwGYMY2v9wyOdXjweBjf/63+ln3zdOr4Y11zDl/LOO/lyxGK0SiVjQKpJ4/FzW1GJeps0wZW0qljsXGtcLHmRCxDlxu5uPpxZWVrytraW25eUfPx8Cgq4AhA/+UQCWiJgJEqIr76qqzSbmmiRipBVfb2W5ZVVRnq6rgQ8epRjzc+nr/jQIZ7D4CA/7+7mSynnAOhc/mhUZ1eIeyAtjVV9k90/O4bxXyIPjwhrHT6sNTUOHCCxJ0JSDJubdUf6pUv1eZeX09KWwqaWFv6f3U730913a82czk6dxip62p/6FEn1lVc4WbS0aNEmEXOqruY4Ozu5H7HavV4SXWEh3XoSW5GJcNxrYNdZK+KG6+zkd8vK5ofYlOJYWlo+Lv375S9z8hwa0isnyVyKRrXW0YoVvB8izyxKkOGwFuPyevm8NTbyuifKB8wlTCKfAYjuS08PU43cblo4qw88AZsxCREYw7ix+XEA/F55OX2dY6VruVy00letoqUkVaX9/TpjQ6ym0bEEsUZlqSi+YkBPBoAuaopGSTh5eZycenr0yqOhgeST2NpOUFSkpUGlrH08iKUDkEiXL+ekdfq0Lqn3eEgsYi0tW6blQ3Nz6QN+8UVNduvX0+KWVEuHgy+hVNuKG0C6pIsPVRoKGAY/v+km4PbuJ2CfQlXfXZHH0dvLe64Uq1RXr+ZL/uabH++rKQ06pOJvyRKSrsgSO528bseP835Ir8dAgBOeELSU/aelcfzt7TyeWNQvvcTtbTYSjN3OcbndLGh64QV+7733OAl87nP87t69vH6BAMeQ3hHCdyM70AUPYrCgCx7sxA4UxRkIkEwem43xHUnzs1p5v+YLubm6sCsR11/PZ01cUn4/jaOcHJ0IIBNSNKqrrsWgEHVRqZqVxivLl8+fZIhJ5DMAt1uTd3a2XionD0+tKiwl2ovubj5I27bxRR8PFgut8kBApyxKgFKWulLcIhDSljQ+QBdwAOdqwohms9NJAi8q0hZNZqbWoxgvgFVczP10dTF10mJhsHcnziWCR8BgoRxfxLuuuurcpbqoXEpGyIEDtIjKyjjphULMGunr4z1obaU1brfr7u1lZTrts7OTpNXTo4urpAJXOq6vXs1jTLWqz2X0QikSRjDIa/TLX/JcenroJkl0sbjdWugqJ4fjam3lqiEjg66ZaJSWczyur/UTT2jXU1sbJ6nly/mvVD2/+SZdL2VlPPbzz/M8ly4lGdXWcrI7fly3rDt1iiu/tWu5rQhQDQ8DwWO78bvmStxrPIq0s8p/aejBV/AoPgSV/zIzdUvClSt1rCEzc35F7dLSOIGPLtRyOknmTifHeuutvI4rVnD73l5eO5FtkPgJwJWiZO+IKFlXF48VDOpsr7mGSeQzAKVIqNIZRLSNB2xTrwrLyGA58fr1k2+fkcGX1efTTQykYQXwcbeJFGaI8ptYweInFV9fYgZNRQVdF34/l5SSklhbS4t1vJ6S4qMWMa3bbLuxP16Jr+BcIvhTPIoPjEpsju8eWQW0tPBl8Pk4/pISWlW9vbqr0Qsv0CoSPWq3m9ZjJEIiFL1vkRMtLycxd3fzxRRtaglQS0qoQISPamunXtXXg1RYrTrds7CQ4xQ5WnH9JMJqpduorQ145BE2uJDlufRFlZZjmV0h/NmhHfj+kx78j7+w4C//3oPNz+5AUn0I7e268UFami6iysoikTY1UeQrFiPJDg4yuOn16kwpu51ZMyIjIRk38RMhfK9xK5zG+DGCXdiKy9whDA7yuUxP19kiZWXzX32dm8v7Mjp18qqrtNzB009zvG631jVqaOBzmJKis28Sa0M8Ht0JSvoN5OdP3CFrNmES+QxBAo4tLbRE7Xbg6OX3TFpMMAQ7djm24fbbz29ptno1H0aXSxO1qL1JMYO8RGKd2u1acExI3GolAUgqoGHQ2i8tJdH5/SScjAwSRnf35Olk+fm07MqsIfx738TBwmfilAAdHmYK3P79OrNk82Yed3iY/5aX86Vqb+d5r1xJgpQy8N5eXn9JLbNaOeY33+R3pJpVqu2koq+gQKekuVz0zTc2ArscU6vqe8qybaT92aFDbGeWkgL83//LycTppJUrWSwiE9DZyX/r6kj6PT10E734IicnlwtYWb8bD71UiU/UPArHUA8UDKQM9+Bz3Y/i13WVyNy7G21tWj5XMnqkR2pGBon9ww95ft3dnDwMQ99TUbR88UWuHo4e5T3/XP1Dk7sGMYzPNjyMWIzWaTyuBc0SM5rmCyJUNdoqX75cd7Q/fJg1G7m5dF2KpnpdnZYHkA5SVitXHllZujrY5dJVx/M1cZlEPkOQYKC0FEtPB55e+iBi1omJIKbseGP9AyMv4VQfBMkiEclWWZYnBi0TuxVJcwrxkYsrRaxwSb/KzuaPiAt5vdx3ZiYfbPEfToSiorMugf986GPZOqNhxzB2DD4MpUi2zzyj25PJBCTuHdGOSU5mtsWBAxSVkrRKyQeurNQvXDgMOE6H8PDgDrQMeNDWYcH7Jzz4Rh27u0iXJJuN5yxpdsnJwPcdU6vq+57lAfT26hL4d96hi2x4mOdjsXBi2LePpPHyyyRT6fIkE8vNN5NY//AHTibFRgjfOboVKfEIrPGPT4QpRgTfa9wKX08IXV1aCCqxt6aIq/3613SzeL083smTuvu7283J7vXX+VlDA6/lHT1TU/7b3PY4rFZaqENDfF5E332+IVldo4ncbmesqbCQ1/z113nNXn2VpO12c1XW0aHlb6VdnIjalZbSgu/u5iQwH2mWgmkRuVLqs0qpQ0qpuFKqaqYGtRjhduuqscFBkkmrO4g9f7YLAxYnhkcRwrCyY8DqxL9u2YXCG4JwOukvPR8UFpLIS0o0cUvVoZR3i99clt0DAzoQKYJB4r8VVUlpYJCdra1It5tkJLIAE0EKQnL3TC1YeHfs8ZG0r9pakkteHsmluZmWjuRJC0l0dwNf/7ourgF4ruvX89rLJLXs5G683F6JLw7p7i5uowd3tD2K96OV+MTg7hFVSemjKiJbbZ4gHsiduKrv85ZdOGEER4Kl7e1cWcTjfMkHBiiJ297OFMvf/14v1SsraZUfPMjr7fNpjZLmZuD6fZNbxDZjGF/qeBgdHbSkRdmypYXHaGvj/t56i+SdlaUFuXp6SLZ/8ze83vJ8iByDMz7FGEG8F263DuKGwyS5+XarCHJzx5bxlUYfmZmcZEW+4ooreJ08Hh1/kNTctDS+Hzk5DIiLgbFq1bmpuHON6V7qgwA+A+C1GRjLooZYszYbXxTJLd2/ZAse+lI1Xivfjh4Lq8KGnR6cvHE7/vPb1ThavAXZ2Vo3+3yQlcXAal7euXrgifnRYtlKz1BRj8zJwUh7qpQUre6Xna2Xi0uW0MKUxhiJgbeJ4HCcbfY8MHUJUJkchodJfLEYrVfR2PZ6dWZJWxtdFdLezOHQVXq9vaxkbG4GlvSF8IMz9PGOJkRx7Tw5tBWFsdBIqqTIBkjX+F8MbMHmJdX4SbK+f93Kg6dc23FDVjVeSd4y4mOX79XU0FcvPvqUFPqijx0jwb72GrfLy9OVp5s3axVFl4sT8tbBqU2Enx18fEToS6SNjx0joVZX63t4/DgzWQIBlqu3tOi6AdFw379fp9JONUbQZ0lFTg6fpY8+4nlfeeWUvjonyMnhezk6TlFWRpJfulTL/C5fTjdLXp6WuZXeqfKuZGQwWFpYyOsrXbTmE9MicsMwjhiGcXTyLS8NFBTwpWhpIQnKi3k0GsQ/FuzEtavD+J/fjOHdF8M4eP9O7AsH0dGhxbTOt0mGSGZKtaP4ySVH22LRsriS++p2a+tcCohE6Mpm4+Rgs3Ebn48kkJ5Oazgtbeqqk/n5wGDSFIO9SB3x4QuZNjRwfH4/UKJC+PrRHXjuDQ/qGiw41sLGt3lDoZFCqMxMjrOuTjdx/i99D01KhHYM4+uxhxEI6K7pUm4upfp1Nt6/VXlhXLYqhmVLwvirjJ04ZQ+O9FqViUjSAPft44QjxUfDw9zmjTe4fPf7SSCBAK9VMMgJ6IMPdJVqKqY2EbrRO6LkFw7zeXC56Kvu6tIa8qEQP7vtNu0+isdJ7j09Oke/q4uk9ox98hjBMOx41rMNRUU6RrFs2fz10h0L0ne2re1cnRuvl267tDTem95ePnd79jCLJxjkhFZTw+sj79a6dbpJ+qlTWidpPjFnix+l1Hal1HtKqffazqeB4CKCz8eXsqNDCzYtW0YLJRSitVxVpav1LBY+YOHw+btVBHl5uuFALMaHUxTcBge1i0EsaoBL7v5+XSTkdvO70igjJUVPLOEwX/hweOLmuaNRXAx8uOoexCeJEQzBjifVtpH2YICWt+3pAVJf3417v1eJyr2PwhXTrpG7Olgivzm+e0SorLWV5xgI8OW6vXuK3V3ij4806xANdnFRlZbqTlBS5To8rP3qcg0TU0ClWrW5mb78mhodaOzs5PZJSRSlamsj+e3cCfzkJyRdqcLtt05tIhywp47sv7dXp2gCGIkBtLTwuRT3wgcfsMisp4dZG089xXREWZH09QGPJD+I4UmIPGqx44nsB5Cby2fc6aRLaaGhoICW9KFDOpVQKe2Gi8f5zIfD2p336U/zWTh2jEaCSHBkZfH+/uEP3NeGDfPvRpr08Eqpl5RSB8f4ueN8DmQYxg8Nw6gyDKMqeyFN1zOM5cv54h8+TN91VhbdLF4vZ/STJ2k1OhzAPfdwe8m0uBDY7TpNT/TQ/X6dm93Vxc8lj1wkOpuaMNJcWXKppUJV/PVi2cp3zid4VVwMvLlx8mDvMOx4JOmBkVWBBGQHBxns+39PM9g3OmhqT8h6WeUMjRRldHWROOvqAEd06hbt6dMkwtRUnr/Pp7MUpAmB6NO4XDq4KmOVFMrELu0iV1xaylzlggKSBKB7dra0kBROn9aStY2N/P8XfPdMSqRDsON32dtG0l9Ftlb02UVXxuPhMerrgX/6J447GNSNnSVFLz2d987hAI7Fgvi8ZRf6MHaMoN/ixDdLduGMlzGehgZmEs1mS7MLhVJ8D2Oxc/uXSiAzHmcDij//c94np5OW96ZNfJ+k9dsVV/Davv8+Yzh5eQtDVntSIjcM40bDMFaO8fOruRjgYkNGBsm5qYkv1dAQfZMbN3IpHQqRJG+5hQ+9y0XSOHhwfH3wyVBYyIctLw8jAk6iESFFMTJRiPURi5E0pBuKNJCOx/lw+/26h6FMDmNVco4HpxNIWh7Es9t2YdA2frDws9iFNk9wRHkuLU03w7g/MjXXyJ8NPTxSWi/W+dAQXTZTQS9SRxrkBgJaHTEWI/ElygVHozqjR3pTStWpTJ5Wq7a+i4t19ejGjbzXJSVaX/2660gWXV26gXJSEldFP3I/+LEg+WhElR2/KX1gpJmJTMqBAMfU16f98aJf89xzDLz+wz/oJiZtbXTnFBbqYrF4HHjO2IJKVOOH2I7w2YKuMKj899d3MkaQlcXnPTEffSHC5eIKubmZcYo9e2ih5+bqd/CaayhgduAAYzCrVnEiltVXZaV2O65eTRmN+codT8QCiStfXJBGBy+/zOBPXx9ffukreOutDKA0NdGKuvpqvkyjgzFThdere0A6nXSbSAl/JKKLbLxekvTwsG6UIL5gq5XbDAyQaMTXL11TLsTKKitjsPdfv16Np1zb0Q0GC8Pw4EfYjkpUYze2jOhDR6M8lttNIv9MZGqukc8OPI6MDK0cmZTEa/6MfWoW7ePYhsFBflc0XaSRtrikREBMgopKkSBFDhfQjReiUd6Dxkbq45SUsEBo717e/5UrtetGJvu6unPdIV4vcGQoiG8U7UL/BFkz9yTvwqungmhq0g2Gu7o47pwckldHB332EtQ7c4aEHo3ymZTUvOxsPpMieSxd5msQxNewE16EYUMMXoTxnZydaEwJjlyr7m4aMPMhWXs+kC5bSUk6oP+JT9AV19hIYt+yhRNfLMbreN11Wi5YxM6ysmixr1s332dETDf98E6lVAOAKwD8Vin1u5kZ1uKGx8PiDJuNpL5tG6Pcd97JZVtaGkl73z7+Lg1nJYf3QrBqFYkT0O6R5GS+rO+/rzNqRD/bZiNxDw5ym7Q0bYlt2EBLTQKiiaqG5wNpODuUF8TfB3YimBWGxxWDPzmMB+w7UYMgAF1VJwqEoh1+PiXyycm6nVs8zlXEj9wPImqZmmtHMjU6O3XDhvJyWuNdXbwv2dk8n/5+fh6L8XfJyZdziUT0ZLJnD3Dfffz74EFe44YGjs/rpeX33HNaVuHoUS1SZbUCr6duwZfWVOPfrNoi7oYHP7ZtxzpbNX4d3TKioigTos2mM5i8Xt04o6lJ6+2kp3NVODjI57WggN+XNmiinzJWEwpRAhR9mJQU7m/jxrlrpHChUIrvysaNfEfXrOHEumIFJ/Df/IYZUUuX0gjr7KShFY/zvcjL4znm5vJ7C2X1Md2slV8YhpFrGEayYRh+wzA2z9TAFjuuvZYqa7fcwgrMG2/kw5+Wxhe6poZWwNVX88WoqODSdv9+rfV9PsjMZA619BD1evlyGgYt63CYL11yMrdZtUprZ4s1HomQsEWdT/y/gcCFBXNycnSRTVaWltiV7JzEtD23m8dNzGs/n8a34TDJz+XSSnyNKUH8RTHzwEdb5mLR3ufZheH8IHw+3ZhCJG8jEf0j1aWpqbyWIrAlAmSjrXEZwxtv6AbCgFZ1dLtpwXq9Wi7WMPSxurs5hjVrgAORIL5u2YlMaxi+jBiCWWF8070TDcnBEbIVHXhp/SeELMJkSnHM0jt2aIiNqg8e5HdFIVImfImnjEZiBezp0xzjkiUkvrHUMBcDZLUsufSSepqezmtTU0PXU1ERP8/O5rs1nkzFfMB0rcwSrNax+xQuW8aX4PLLOaMnVmJu3MgHSgSNxnqRJsLll+t+l+Ew95WSwuN5PDpH3DC0yqCMNSODL68EboTILZbzy1ZJhFJ064TDfAmEUCSTJlFqV/KppfDCMKaW/jYEO562bUM4TJKURg1iif7BvQW3F1TjPzLP9fH+R8Z2XOutxhueLSOZKunpvFZnzrCsvamJL7VIABw7piV+5d5IZpA07BViPXOG51FbCzz5pNZKlzhAczMrLTMzaelJxpC0B+zr476amnifxDKORLTFbrPpDk3SrkxkbRsbeYyBAZ2hJJN2fj7/7ezkvTl9mtuKJvmxY3QfiBpjIiQA3NLCcRYUcMwS2F+sKCjgdRGZihtuYK69zwf84he8n6EQ/ea5ufOr6jgWFljjtIsfPh99cmNBWpe53cx6aW6mhVxQoJf1EyE1lYUloi1isfCzlBRa4OEwLUR5EUVIyG7XMp2VlSSJvj6tST4dRbflyzkppaef63MWq0+CSNI1x+XiNkNDwL/YH8TdQ49N6CePwo7HMh6A20mryWbj5DE8rHOjmwxatF32nYjFdAPmlhYg/+y4Wlq0zIIUIkmV4/Cw1qPuPevtEWtcrF8pFhGLWgKcVivvR3IyyVaKhmQ/kskk5Cl59OLLrq3VPnlJKwW0xb1yJck+O5vnLTrgQ0MkaL9f667IvZbKTVlV+Hw8v/5+7R8fC6N13CWTIy1NN2tYrAgEeP1qauhaKS3VQm2hkHaVbdzI4HRy8nyP+FyYFvkCRHExferBIMnjnXdYtHHkiCaA8XD77bQYuru18FJPj67ikyIikXMV+VG/n5Zdfj6/JxbfdINXhYW65F+ErABddCO514DusiQunWOxIL7s2oV+y9jBvohy4rsbd6FkcxAlJfxuUhK/K/KuklYnreUkDhAOk7xWrSKpLVvGHP+MDF4LaQEmpNzRoSUPJOtH8sdFQdFqPbdBQUsLt+vo4PWUtMKsLPrf3W5a18eP837JdXE6uU9p4ivyw0NDuhWfVCvW13MF0tHBbcR9t2SJniDXr9cTptPJY0nf03vvZYHSffeRpMQ9NFY6rKykZPUmcrzB4PwXxEwXKSl8b+Td+eUvmSf+0kt8Lu64g4HNG244V8NoocAk8gUKl4tkdNNNfJDS0mgZvPoqH7C6urF7KKakMNdVApvZ2Xwp6+roDw0E+CJWV2tdkYICkoHPx/9rauLnTuf0hY+kIYJh6LEYhiZ0qSgFdONbq1Wn+/3OsgU3Zlfj3+10jUjWy6NqO768phrdV22By0WSdDi0Bf3BB/xMWvFJP1Epf49EeM4S7PvkJzWJi/yrWNlS9dfRwXFJY+HEvqMiOZvYBFuErOJxHjcQ0Noe8TjJ7+RJjtfp1IJWHg8/k3RUpXRaocXC1U1FBa1gcb+Ew1Q4TGxxB/Dv+notu1BQoCsw/X5OKL29OttFVnJjPVuJuvWA3ufGjQsn6DcdrF2rkwYOHmSfU6W4gpYJ60LrPWYbpmtlgcNi0doog4PMeKivJxEfPKhzxsW6O32a1mV5OYOmAK2MU6f4QN50E0n98GESj9cLbN3KFzgzU3d2lw48kwlkTQXLlnEsGRk6iCjWseR/Sxf7/n5+npOjXSP7u4PYa+zE/WoncnN1W7OSIcDbjZFAp1K8DhIjUIq++bw8Xi+LhSuOpUt5Dbq66LqQQiKlSNRpaZroRaddMnhEq0a6xIggWUcHyVzcDWK19/ZyP04nYxhOJ49tt3PirK4mGQ4M6NZqra06jVJIXFw1MkE0NPC+RSLMfJEKU4dDpw3abLyXR49ylWcYdNe4XLzOhw5x++ef5/0Rv7eoRo5+Di0WXUvgdPLYq1cv3iDnaEildVYWz62tjc9uKMRrWlQ03yMcHyaRLyIkJ9MqkABiQwNdJHV1Wjdl6VIGz3p7gR/8gKSwOjWEr3Y/hC/segJJT/Vi0J6KdTn34J9THkQ0N4g1a4Bdu/hS1tbyAc7ImLmc4MJCXeYunX4Se3aKfzYWo3Up22RkaJEsIf5wmN/z+7ntm2/qJhFJSSQv0ZVJS6OlXV9/LtFLf9SkJI7L7eZ1Ky8nucXjJHy3m6R34oR22YhioLiGxCIvKSFhDg1p/zmg0xVbWuhCSU3VRC3j6OrSFrjIDIhLLHFfIusbi5Fcnn9e+7elcre7m+ckXZ6Sk3n8U6f4eSxGQgoEeF579/L/k5K4rcOhJw2BuFQkA0Ys8qQkFgDNd3n6TCM7G/ja1/TfIlMxE0bNbGEBD83EREhL4w+g09ak+zzACrUXXgByPtiN7x3cCkt0eKRK0jHUg82nHsX1eAwP+XbBMLbAMPjiHz+uy/GnKpA1GTIzdX9Nl0vrfUgATqw9ISlpFu1yaR+xZNacOcPx+f16EhNxMAkGKqWr+NLTKeEK6LZx7e06f18yXO66i0R+8CBdHvfey96bubl6//X1WgRLXFfxuNaCF7dLIomLZTw4yFiHrHokOyUS0TrXksKYmcmJWNwbiZ2cRNMF0MFwu51j6+riBNTWxmsjbiGnU7tbJE3x5ptZ3XnkiJY1lpL+sbJV5HwcDn3uhYX0GV+MSCTtzMz5G8dUcZHNpZcmhLgS/XfLlwPrvCE83LAVydHIx0rdbcYwnEYE33h3Kz76bQixmNau9vlmViTfZtNNqcX3LWmQki9vs2nlQZHNPXVKk5msRsRyHBriPiVXWgKCUqyzdCmPcfSonkCqqnQv0LIyEnZuLvP829qAv/1bHvvKK0nyOTn6mlRUaNKUSS+xkfXp0zot0e/X+exSlCW53uKHdzpp6XV18f8kgOZw8EfkaOX6CCmL3156hL77rp7s+vp4zaQ5hrQBrKriuYgLqbGRrpbt2xkcl7L1piZOUpHIuVa2TLRWK89LlBOvu25hBv4uRZhEfpHCbgc+3zC1xgSZP3l4pGuQaHtfqBrjeAgGSbwS3JTCEklFFO0SsXbFJSGZLNKCTchE3AE2m5bmdTp1VkpBAcm6tpb7zcujm0XSBQMBujGKi4EvfIFWsfQGjcXotlqzhp+LP3vdOh5PqjkTc96lMjMW07KoiT1SJVja3EzCbWoiofb3cxvJ3snM1BrrkuaXmNkjue4SXOzp0VWoooAoudellEkAAB95SURBVNCioROP87xk8qyvBx57jBPJli26RZvsc3Qf08SiI0A3317sKYcXE0wiv4hR8s4Tk7Zas8aGcWXN48jLI0lEo7Q+Z9rvmZ5OsvF4dPMLqUIcGNB+2ESpWHFBXH45ybezU2eKRKMkJOk92dfHbb1enWP95pv0TQcCzOTJyaF17nbTgk5PZ07wK6+QuLdtYzBYdMMlPXLJEhJveTknC9GDSU3VgUUJEspkJEqSiUUzPT10XTU0kNil0YfHw/2Ild/fr32y4tcXTZeKCo7HYtH+7Lo6+nWXL9crgKQkbS2fOqWzL7xe3ce0qYkyEadO6RTRwUGt7gicW8DlcPA6p6TQdTfV/rImZh8mkV/EsESmplWSEu3FzTfTmsvKmnlrXFBSwkKL5GStAyLEJxatELxYkikpLFLy+3X2h2R09PaS1FJTta8b4D4PHuR+fT5+v6qKfRl7enQRS1UVfcSvv06CvOEGkuFtt/E4r7/OfeXmkjDfe48FOFLiLl2FRMJWXEPNzdoXDXB8S5fqnqr9/dp9kZpKN460mevp0bnoslrxenVQVqxmIf3hYR6vrY0TnmidZGVp8bHWVp5nXh4DnXY7t3/6acYPjh3jcXt6znUXAXqikoKkoSFa90uXLqwS9UsdJpFfzJiivmY0JRVDQ3x5V66cveH4fLoQJhol2YjVmJLC39PSuGyXVEXDYE54SQkta9EHl6V+ayut7o0b6b6RUvXmZp5+URFdIrEYc/AHBrjNnXfy99/8huO66y5NkpmZdMNIDnooxLF0dNCqzcjQ2t2AdkPIqgDQomTxOEnT6eTP8uUkQ5ERzsmhi0MKl8StIe4ap5MWvXRB+ugjjjsjQ8caAN31PTeX1zCx3Z+IiO3dy32sXKkbWL/+OgPIgB5jYrBTgn4iKpaaSt0gcWmZWBgwifwihrpn8g49MasdZ7ZsQ10dCXQ2X06lmOLo82n9F79f5z47nbSwxU0hDR4iEZ33LlkYycn00Upw1OPRhNTWxolCdEWGh4EXXyQhu1zM2EhPp3TA4CADfqO11mMxEv769VpqNjubq5aqKk2OQuJirYqsqwRE5fPWVu3fFwtXRLpqazkJACRhKTaS1YDLpTNfwmEeUzKWZLILhXg+opHe08NtJUNIgsQieVxVpfPWpbWcuKUk/VDca4mFSZWVnDC93oujCOhigUnkFzMefHDSUrSYxY53r34Aycm0lmcby5ZpreeeHlbSSaWjdPmRXOzsbJKNy0WyGRjQ6YUej87v9ftpbba3M4DY28vPpeDn1VeBt98myeblcSXQ0KBL2Udri0jP0FWrOEYpMiot5WSRn899iC9aXEAiLWAYHIv4k8XClebGqama0KXtXjzOyUuKnQYGeD2ysnQXn64u7q+mhta0dLaRyaKtjdfE6aTFLgFPi0Vfw9RUrTSZlcX95eUxsOv1ctKUfHHx4Yvby+PhJCgrAhMLByaRX8wIBjH01C5Ek52I284l9LjNjmG7E7/+4i6s+nQQ118/N+XHqakMlGVl0Z3Q308CS0khcaem6jQ+pRiIq6nRJJadTRIpLyfpiIumvZ2BRCkoWrmSKwyRJo3H+b0bbiDx5+dTXyQri5rhiSXp9fUcQ0oKibGqSk8MNpsudRd3kFR4KqWbdkjXHfFji5tFKlgls0T8/U4nx5SoKW61Mn2yrY37czp1YxCHg24aIVxAW9cpKbyXsZgOLvf28jqKit8HH2h5grQ0HrevT7t3xDUjVrd0j1+zhscz/eMLCyaRX+Rw3LkFR39WjVObt8OQHmUeD+L3bceLD1Wj5GtbUFg4d1VrStFlsXatbl6wdClJStL84nGSUlGRlmbt79fSsIWFOnvF5+PfmZlahTAvj9az369zqlNSmGZXVcW/V61iBeyVV9Kf/uabJO3ubgZKGxs5httvJ2FKab0IZ7ndnFQkMClBykRNFLGWRdtF+rZKznsgwHNPSeH429s5NiFnkaQVDfF160ig2dncXiZASYGUa5KaqjN80tKAclsI3+ncgf01Hjyzy4Kfv+DB147sgLMpBLeb10UkbWXMImE8PKwnmrw87XoziXxhwazsvARQ8IkgXlU7MfDdnSM6yl3tQOytC+v8M12IuqAE1woLSSIi+BQIMIB54AAJSzROXC5dQdndrTNG6utJ4MuW8f+WL+dxNm5k9aJ0OxJJ19Wraf0C/E5Dg9Yeb2zk3ytW0D/u83Hbujo2Yqir4yTk8+mJqLVVk6BhcGLIzOTvJSVcKQwMcHIRJUS3m26dY8f4vc5OrSgoVrvLxTEKId90Ey1pr5eTjXTqkZUCwLRKIXeLBVjTvBs/7t0KmzE8IgfsivXgj2OP4nN4DH/RvwsvvLFlZBKT2IJMSKKrn5zM5sV9fTrt0sTCgWmRXwKQ7IjaWlpYHR0kAouF1t1cw+/XLpLmZhK3lEFHozqzIiVF+6J7e7XsbiSiyVn87YBu0rByJa3X/n66JlpbSYqf+xzJUEgc0A0lyspopTudtNpvvVV39cnMZO/NQIBZIzU12h1RUUE3j6guStokwGPW1mr/fmMjydLh4ERx5oxWoJSsocS0wvZ2PUF4vcAzz5C0/+iPtLCT5K4DWqSro4Pbb8wO4ce9W+E0Ih/TdE/CMFyI4B9rt6IgGsLAAK+nuFLEIvd4dIbK6tXct+kfX3gwifwSQWkpyeEPf2CxSzRKwhI52bmESLYGAjqwKAJUK1aQWG+7jVWH4lqQTA9RqBNLsbxcB07tdhL7NddQP7q5WWfErF/P/Y3OTpFGx5EISTY9nX700Zmb2dnAV77C/X30EcckYliSfSOZKDYb9zU0xAknEtE6MFYrxy9BzfR0TcSSdijuDXHBKMVtjx/n/qWhdmvrucFTsaTjcRL9A/GHJi0Is8WH8eXOh0dy1lNStP9euiyJ+6uwkPfLdKssPEyLyJVS/6iU+kgpVa2U+oVSahq9ZEzMJiRDIxKh9Xn99fPjVhEsWcIfyerIy6MFLDorL77I/xOfuWGQ5Ddt0lktRUXAyy+T4IJBZlTceCNXHwcOUKRK+oEuWzb+pJWdTWu5poZkNV76/bXXsuhmaIgkJwFXafOWKD0Qi5HEbTYt2yuKjKKAKNkgyckkx0CAVro0NLbb+W9pKceVn89x/su/UMfcYuG2JSW64tNup/sjHgeuPPnExzR2RsOOYdwWfnwkUJqoNS5urbQ03gdxp8hKxcTCwXQt8hcBrDQMoxLAMQDfnP6QTMwW1q4l2ZWXz48lngifjylwQog+H8cnWi8iKCV6Kw4H3SVpaSxiqa/nfurqSFrl5bQaa2tZrfjoo/w/r5fnnJVFN8tYyM7mtjLJjQerFfjTP+XvR48yp3rVKhKpuFUkXU862UtOdjSqS/ZPnNCFOpKNIt3ZAb2dy6ULnEpLgYceot9fXB3XXMPJraiIAUup/BwYOBsMjU6tstdl9CI5mddBju10al97WhonxzNnOOHIOE0sHEwr2GkYxgsJf74NYOv0hmNiNiHBwYUAUSi0WGi5ZmWRhK+9liQtErHhMMlVelhKE4Ply+mSSU0F7r6bhP3WWySh/n66HCTTY9MmHuv4cfp3R1uUra20YkUzfSKsWEEf/IEDOvDX38+JRFIFRblQLGbRFLfbmU7p95O4jx8n6RcW0hUjuiqiXOhy8W9J/Xv/fU42+fm8ZtnZvG4iOyCrgZGYgi0VzmjPpPeiF6nIzOR4xQ2Un69Ft9LSOOmGw7T8TSw8zKSP/F4Au8f7T6XUdqXUe0qp99ra2mbwsCYWI0TzPDOTfmbpMRmL0frLyODnFgvJc+NG+rx/+lN+57LLmMu9fj1/v+UW4FOfAj79abpZhob4b1UVSXzNGhL1vn26PyZAV8Xx4zyGdAKaDH/8xxzXm2+y4rS9ndZxYSEJVSZL0YARcpVMG6V0C7jECklpjKwU/3W7dRcnKQzKyWGwMy+PE0hBAScGyXsXa/nwYeAPhfdgGBOnlwzBjv90bkNKCgOZosCYk8OJSgquxC8+Wzo8JqaHSYlcKfWSUurgGD93JGzzLQBRAE+Otx/DMH5oGEaVYRhV2fORKmFiwUHSEHt7SRp+P0kxHic5izDW0aMkwrY2uiW6u/lzxRUk7liMLdNSU2ml/+xn3MemTSTB3FwSaFUVj/v731MAq7GR6Xzp6cDmzfxOXd3k4163Tq8IpJry9GlORiKpK+mAl19O8pO2bX19dBm53SRMt5vnIhrj8pOUxHEVFtLv7/PRvfInf8LjbNxId0pXl/Zdu1w8V6VoWf/I/SBik0g0RGHHiysfGGnuLNIJ4qLxejl+yWAx9ccXJiYlcsMwbjQMY+UYP78CAKXUlwHcCuCPDUPi7yZMTI7sbJJTSgrV+QoKtGhTe7suRKmvB559VvfUlEbRTU0k/4oKEuerrwLf+x4/v/lmEr0UGQEkqRtu4DHb2uiqEJlc2WdtrU4fHA8OB33jVivH7PPxs5ISfi551pEIx1KVHsI/De5AY58Hnd0WHKz34NstO3CZO4TcXJK73a7TK0XCNhqly0YqS6++mv/f2Mjfr76a16S7m8fKzia5S2OKNk8Qf1e5CwMWJ4ZGWebDyo6IcuJb5bsQzgqOaKcDvP6iflhcrKtXTWt84WJaPnKl1CcBfAPAtYZhRGZmSCYuFdhsdHvk59NtAOjqwXfeoeugtJTuk44ObtvdTUKWfOyDB3Xa3eHDJLo77gD+/M9peUurNoHdzgyW4mJOEH4/SRJg0PCdd0i+gcD44xbhqtxcWsw1NdqKXbtWdwvq6wNKju/Gvw9shTWuC3LcRg8+1fQoNrc8hv8W2IVDti3o7aWv2+nkd5OSeJ45OfSHJyVxTG+8QbdTSQmvR1sb8OSTvFZ+v24KcuoUv/eaZws+lVeNL555GHf1Pw5nrBeDSan4YOU2vHrZA7B4g2jeo1vMyYSQKKYF6LGYWJiYro98JwA3gBeVUh8opX4wA2MycQmhqAgjEgE1NSRIh4OWaCBA2djvfAf46le5/c03a3dMerq2fBsaSJyrVjH4KZWSubljHzcpiftJTDUUka6amvHHG4vRzx4I0P2TmkqLvKaGY7BaeUyHAyi1hPBYZCtS4h8vyLFjGCnxCB5u2IqN2SH09enmDZIHvnSpbrRRVsYAK8DJQipdKyt5HUTnvLFRa75L2X4IQTx62U5893+G8d//nxju3hLGT6/aiW1/HUQgwGOUl/OYPh8DzlKclJbGfaWlmbK1CxnTInLDMEoMw8gzDOOysz/3z9TATFwayM6mRZ6ezgDg6dPAf/wHS9dXryaR2+0k7kCAJJeeTitdWpQ5HCTPkhL6xYuLSaqiAjhVKKX9ziL/OhqHD3MsGzYwQNrbS+1yt5skmtgM+pvJD02ex20M40sdD4+Uw0tAtKyME0VtLV1P/f1clVRW6r6jAD/btEnryMuEkpTEa9nSorv/nD6ttc9tNq5YfvtbWt2VlVoMKyeH10A6OaWkmNb4QodZ2WliXqEUSUtUCuvrSY5Kaa2To0fpdtiyhQRz+DCt0quuIoGtX08rtKyM/vJolD72idwj4yE3lxPHgQMfz2BpbiaxBoO0XqVPZjjMvp85OSQ96U/6mcgTH7PER8OOYVxV8/hIz8xwmAHG9etpKZ85w8khFOLYEs/pzBmOaeNGBkSvuILbSMDYMEjSgQCvnzTbuPFGXrdDhzj+K6/UE5AUAUUinARF/2Xp0vO/libmDqZolol5RyBAEuzuZsXpkiVMCbTbKTHb10cikTx4j4fE09ZGC1J6UhYW8kcKf/Lyzn8sNhtTFd9/n3IGGzbosvyTJ2lpi/DYkiX0S9fVUYtFfNMbNtCid8anVpDjjPfC4dDujJwcnQsvJfdr155rFRsGidjh4CpCcsC//W3gL/9S5+I7nZzcjh2jlZ6UxADtK6/w9+XLdRej7Gxez5MnSeDp6RxHMMhrbmLhwrTITcw7rFa6EQBatOXltBxPnCBBb9hA0vzgA/rUd+ygxepy0XVQWMhslFWrSEC1tSQ9UQ88X/j9tFJjMZL5nj0kt6Iifi7BU5uN7hVJP7z5Zn6nvZ1E3m+dWqu9AXvqSHu7qirguutoGWdkAPfcw3ORgh2BuElEd0bSDp1OZrM4HPxpaOA1zc/nJNTXB7z0ErctKuJ1rqnhtZI+nydOaN31xInLxMKFSeQmFgSCQRLX3r3MmFi3juR+7bW0NPfvJ5mtX0+SWbKEroRbbqGbQAphamtp2UoF6IXC6yUhSiqguHFG67YXFpLsDh2iJe/z0f2TlQW8VXwPopbJOzTtq9g2IkVQXEw3UWsrSf3662l9nzqV8J0Y0zVFeAzASIl9fT1dJ9IPtacHePddEveJE3THeDw8n6Ym7leqRaXpdX099z00xPFI5oqJhQuTyE0sCCQnk1xaWynXCpCY3n2X/ursbJL4RBIDsRgt5+xs3dNyOnA6aR1fd934QdOsLJJ5ayt90Js2cRIpKQH2rHsQsUmI3LDb8XLlA2ht5b6WL9et3taupVUsWjBSpREK8f+lGlWQl8fPAwG6TzIyuM/TpznReb3aet+/n9k34bDOSDEMEn9vr26aISslEwsbJpGbWDCoqmKpe10dl/979tCCXLVqchIHaElKb82ZwmQNhiVYa7XSj56VRcu8tBToSA/i+9fvQr/F+bFS+ZjFjqGzrfaePx5EPK5lhQcGaCFLgLGwkJ+1tNBKPnFCyxgkQtQPOzq4WpEuRKLXvnYtrWuXiy6Xnh6Se0aGbmp95Ah/z8jgtnPRx9XE9GESuYkFhauvJnGL5OumTbq120SQTvLp6XPvCigsJGEKOUYi9JeXlQHJn96Cv/9CNX6dsx0DyR7ElQX9SR7U3rwd7/ywGk91bkFbG/fh83EikkIcIWq/nxZ1bS392ZL3PRqiG97UxOso5fRpaQwAnzlDt099/bnup44O/puSwu8mJ3NCSHRZmVjYMIncxIKC00l/ucPBPPLxtMFHIxQigU7XN34hcDhI2qIHIw0kKipoZf/J/wri59fuxBdvD+N3v43hf38jjLr/sRNvtQbR2kqilirNsjISeEaGXoEoRVdJUxMt5qVLxy/OkY5Jycl00wwNcV/d3XSZtLfTXRUIAHfeyX02NTE429Cgm2v4fDo33cTCh0nkJhYcSktpXR45MrXtW1s1wS1ZMrtjGw8lJTx2Xx9dIOLz7upidsgNN5Cof/xjplY+8gjwy1/SAhcd8DVr6BKRzxKRn8/9NjVN7DpKT6frpLGRQU+AwU2HQwdhpUG106k7AJ08qStHKypI4llZs3OtTMw8zDxyEwsOIkB19CgDbitXju9a6e1lzrfHM7+BOWn+0NxM67axkQR++jSt4C99iUR+4ACJtKeHaX3RKF0aFRXM0DlzhvsbTeRWq25SMdkqJS+P/vorrtA9T4uKODaXi3+/9RbJW9Ie29t5vTMzua3XOz/9XE1cGEyL3MSCRFkZXSy1tcywGEuRcGiIbgKLZWrB0NmGWOUDA6w+9fk4EYmGzL330v8fCDDwmJdHwiwuJqlnZZHsk5I+XoBTW6ubYjQ3TzwO0Zfp6KB7amiI44rFuBro7qZ1bhh0v+Tl0eJ3u3UuuWirm1gcMIncxIJFRQUJ7vRpqhK2tZF8DIOZLa+8Qr94VdW5+iPzBa+X1qzDQWtXrPKWFq4c/H6S9uHD2k1iGCTt0lKuOqTCMnEFMjDAGEBpKf+vtnbicaSk6JTF9eu15szy5Uw3bG7m71deqQOqr79OS13EumYy88fE7MMkchMLGqWlFHQKh4G332Za4muvsZGEx8N0xYVUsCKTT0MDG0gXFHDFUFNDC9lu53jr6uhmSUlh5WphISeswcFzW9EZhl6RrFjB/Z05w4lhIgSDnADS00nWkQjH5vfTYq+ooATwiRPA88/T1eP3cwIoL18YE6OJqcP0kZtY8Cgo4PK/uZmpc5EIXRMXIoo12/B4qIa4fz/VBVevJjm/+irJ2uul7/rwYeqYbNjAcxkcJLEmVmsCtMTb23UGT14efdm1tRNnlUg/z/Z2krooOublMQf92DGuGBobOTH4/ToHfz4yf0xMD6ZFbmJRQHKkN2xg2fpCJHGBw8G+mi4X8MIL7NbT08N/3W5aycXFOgA5NEQSj0YZsBW3SlcXg5bSfANgoDQQoEU/WX/RZcu4jdfLv6NRWvZOJ/+V7JbWVm6Xns5JxvSNLz6YFrkJE7OAggL67qNRWulSxn/yJIOyhYXc5tQp4Oc/5zbLlun88K4u9hV1OOhaSkRpKV03odDEXe3T02lpx2K0wLu6KDdQV0f/+LFj9NOvXEkrPRjk6sDE4oNJ5CZMzAIcDhJufz8zRsJhujkKCuga8vnYyWjXLlrjfj8Je2CAfuuTJ7mPyy/XvTQFLhet9NpaukGSksYfx7JlDKw6HHRLrV9Pyd1wmD76eJzj8/m40pG2dyYWF0wiN2FiluDzkZBLSmj19vQw4HnkCJtBWK3sL5qSwsKc6mr93aIikvBotUVBaSmDozU1E8vMejz0l4vW+csvA/ffT1eVuFPsdpK52Txi8WK6zZf/DsAdAOIAWgF82TCMxpkYmAkTix1SEPTWW3RlOJ1Mo1yyRBfbOBzA7bfz944OjJTsp6dPvG9psnzyJF0io632RKSmUm8lKYlB1j17uDpoa+OxpH/pZHo2JhYuphvs/EfDMCoNw7gMwG8A/NUMjMmEiYsCKSkMHgIk8+pqujLG82tnZNC6nozEBaLvcvz4+Nu0t9MFc/31wE03UULgZz+jfzwvT1vsEkw1sTgx3ebL3Ql/ugAY0xuOCRMXF1JT6UaJx+mrLiq68M5Fo+HxkIBDIWa3jMbAAOULXC7quGzcCNx6K/3g6elcISQnc0zzXRVrYnqYto9cKfUdAF8EEAZw/QTbbQewHQDyzenfxCUEj4eWeV0dreiZhGS0HD9O61yaTcTjzHqJxxkwFV/7Zz7DrkqNjcx8SUpiBo2JxQ1lGBMb0UqplwCMpSn3LcMwfpWw3TcBOAzD+PZkB62qqjLee++98x2rCRMmxsHhw7TMU1IYyIxGGcysqjq3abOJxQ2l1PuGYVSN/nxSi9wwjBuneIwnATwHYFIiN2HCxMyiooIulPZ2WuRKsbLTJPFLA9PNWik1DENCLXcAGMNTZ8KEiblAQQF/TFx6mK6P/B+UUuVg+mEdgPunPyQTJkyYMHE+mBaRG4Zx10wNxIQJEyZMXBhM0SwTJkyYWOQwidyECRMmFjlMIjdhwoSJRQ6TyE2YMGFikcMkchMmTJhY5DCJ3IQJEyYWOSYt0Z+VgyrVBuadXwiyALTP4HAWA8xzvjRgnvOlgemcc4FhGNmjP5wXIp8OlFLvjaU1cDHDPOdLA+Y5XxqYjXM2XSsmTJgwschhErkJEyZMLHIsRiL/4XwPYB5gnvOlAfOcLw3M+DkvOh+5CRMmTJg4F4vRIjdhwoQJEwkwidyECRMmFjkWLJErpT6plDqqlDqhlPrLMf4/WSn1zNn/f0cpVTj3o5xZTOGc/7tS6rBSqlop9bJSatG3EZjsnBO2u0spZSilFnWq2lTOVyn1ubP3+ZBS6qm5HuNMYwrPdb5S6lWl1P6zz/Yt8zHOmYRS6t+UUq1KqYPj/L9SSv3z2WtSrZRaO60DGoax4H4AWAGEABQDSALwIYCKUdvsAPCDs79/AcAz8z3uOTjn6wE4z/7+1UvhnM9u5wbwGoC3AVTN97hn+R6XAtgPIP3s3775HvccnPMPAXz17O8VAGrne9wzcN6bAKwFcHCc/78FwG4ACsBGAO9M53gL1SJfD+CEYRg1hmEMAXgabCWXiDsAPHb2910AblBKqTkc40xj0nM2DONVwzAiZ/98G0DuHI9xpjGV+wwAfwfg/wAYmMvBzQKmcr5fAfCIYRidAGAYRuscj3GmMZVzNgB4zv6eBqBxDsc3KzAM4zUAHRNscgeAnxjE2wC8SqkL7rC6UIk8AKA+4e+Gs5+NuY1hGFEAYQCZczK62cFUzjkR94Ez+mLGpOd8dsmZZxjGb+dyYLOEqdzjMgBlSqk3lFJvK6U+OWejmx1M5Zz/GsA9SqkGsIH71+ZmaPOK833fJ8R0e3aamAcope4BUAXg2vkey2xCKWUB8E8AvjzPQ5lL2ED3ynXgius1pdQqwzC65nVUs4u7Afy7YRgPKaWuAPC4UmqlYRjx+R7YYsFCtchPA8hL+Dv37GdjbqOUsoFLsjNzMrrZwVTOGUqpGwF8C8DthmEMztHYZguTnbMbwEoAe5RStaAv8dlFHPCcyj1uAPCsYRjDhmGcBHAMJPbFiqmc830AfgYAhmG8BcABCktdzJjS+z5VLFQifxdAqVKqSCmVBAYznx21zbMAvnT2960AXjHORhEWKSY9Z6XUGgD/H0jii913CkxyzoZhhA3DyDIMo9AwjEIwLnC7YRjvzc9wp42pPNe/BK1xKKWyQFdLzVwOcoYxlXM+BeAGAFBKLQeJvG1ORzn3eBbAF89mr2wEEDYMo+mC9zbf0d0Jor63gNZICMC3zn72t+CLDPBm/xzACQB7ARTP95jn4JxfAtAC4IOzP8/O95hn+5xHbbsHizhrZYr3WIHupMMADgD4wnyPeQ7OuQLAG2BGywcAbp7vMc/AOf8UQBOAYXCVdR+A+wHcn3CfHzl7TQ5M97k2S/RNmDBhYpFjobpWTJgwYcLEFGESuQkTJkwscphEbsKECROLHCaRmzBhwsQih0nkJkyYMLHIYRK5CRMmTCxymERuwoQJE4sc/z+G9BKjHlZOewAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# x = torch.Tensor([2., 5., 7.])\n", | |
"# y = torch.Tensor([3., -1., 2.])\n", | |
"x = torch.linspace(0., 1., 20)\n", | |
"y = torch.cos(x*6) + torch.randn_like(x) * 1.\n", | |
"test_x = torch.linspace(0., 1., 100)\n", | |
"\n", | |
"kernel = gpytorch.kernels.ScaleKernel(gpytorch.kernels.RBFKernel())\n", | |
"likelihood = gpytorch.likelihoods.GaussianLikelihood()\n", | |
"likelihood.noise_covar.noise = .3\n", | |
"gp = ExactGPModel(\n", | |
" train_x=x,\n", | |
" train_y=y,\n", | |
" likelihood=likelihood,\n", | |
" kernel=kernel\n", | |
")\n", | |
"gp.covar_module.base_kernel.lengthscale = 0.05\n", | |
"gp.covar_module.outputscale = 3.\n", | |
"\n", | |
"gp.eval()\n", | |
"f_preds = gp(test_x)\n", | |
"f_samples = f_preds.rsample(sample_shape=torch.Size([100]))\n", | |
"for sample in f_samples.detach():\n", | |
" plt.plot(test_x, sample, color=\"b\", alpha=0.3)\n", | |
"plt.plot(x, y, \"ro\", ms=10)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 97, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"gp.train()\n", | |
"likelihood.train()\n", | |
"optimizer = torch.optim.Adam(gp.parameters(), lr=0.05)\n", | |
"mll = gpytorch.mlls.ExactMarginalLogLikelihood(likelihood, gp)\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 98, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Iter 1/1000 - Loss: 1.811 lengthscale: 0.050 noise: 0.300\n", | |
"Iter 101/1000 - Loss: 1.686 lengthscale: 0.032 noise: 0.252\n", | |
"Iter 201/1000 - Loss: 1.686 lengthscale: 0.033 noise: 0.327\n", | |
"Iter 301/1000 - Loss: 1.684 lengthscale: 0.036 noise: 0.566\n", | |
"Iter 401/1000 - Loss: 1.637 lengthscale: 0.193 noise: 1.130\n", | |
"Iter 501/1000 - Loss: 1.637 lengthscale: 0.190 noise: 1.131\n", | |
"Iter 601/1000 - Loss: 1.637 lengthscale: 0.190 noise: 1.131\n", | |
"Iter 701/1000 - Loss: 1.637 lengthscale: 0.190 noise: 1.131\n", | |
"Iter 801/1000 - Loss: 1.637 lengthscale: 0.190 noise: 1.131\n", | |
"Iter 901/1000 - Loss: 1.637 lengthscale: 0.190 noise: 1.131\n" | |
] | |
} | |
], | |
"source": [ | |
"steps = 1000\n", | |
"for i in range(steps):\n", | |
" optimizer.zero_grad()\n", | |
" output = gp(x)\n", | |
" loss = -mll(output, y)\n", | |
" loss.backward()\n", | |
" if i % 100 == 0:\n", | |
" print('Iter %d/%d - Loss: %.3f lengthscale: %.3f noise: %.3f' % (\n", | |
" i + 1, steps, loss.item(),\n", | |
" gp.covar_module.base_kernel.lengthscale.item(),\n", | |
" gp.likelihood.noise.item()\n", | |
" ))\n", | |
" optimizer.step()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 103, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"[<matplotlib.lines.Line2D at 0x7fe7efe3ac10>]" | |
] | |
}, | |
"execution_count": 103, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"gp.eval()\n", | |
"likelihood.eval()\n", | |
"f_preds = gp(test_x)\n", | |
"f_samples = f_preds.rsample(sample_shape=torch.Size([100]))\n", | |
"with torch.no_grad(), gpytorch.settings.fast_pred_var():\n", | |
" true_pred = gp(test_x)\n", | |
" noisy_pred = likelihood(true_pred)\n", | |
"\n", | |
"lower, upper = noisy_pred.confidence_region()\n", | |
"mean = noisy_pred.mean\n", | |
"\n", | |
"plt.fill_between(test_x, lower, upper, color=\"b\", alpha=0.3)\n", | |
"plt.plot(x, y, \"ro\", ms=10)\n", | |
"for sample in f_samples.detach()[::10]:\n", | |
" plt.plot(test_x, sample, color=\"b\", alpha=0.3)\n", | |
"plt.plot(test_x, mean, lw=5)" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "py37", | |
"language": "python", | |
"name": "py37" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.7.6" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment