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| { | |
| "nbformat": 4, | |
| "nbformat_minor": 0, | |
| "metadata": { | |
| "colab": { | |
| "provenance": [], | |
| "gpuType": "V28", | |
| "authorship_tag": "ABX9TyM2gBsWpRcpD3Vbzz5qSUDS", | |
| "include_colab_link": true | |
| }, | |
| "kernelspec": { | |
| "name": "python3", | |
| "display_name": "Python 3" | |
| }, | |
| "language_info": { | |
| "name": "python" | |
| }, | |
| "accelerator": "TPU" | |
| }, | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "metadata": { | |
| "id": "view-in-github", | |
| "colab_type": "text" | |
| }, | |
| "source": [ | |
| "<a href=\"https://colab.research.google.com/gist/toyo97/4df9ca7119ef37f789f286a065052085/b-pinns-experiment.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "# B-PINNs experiment\n", | |
| "> code for project in Foundations of Machine Learning in Scientific Computing, PhD course by Francesco Regazzoni\n", | |
| "\n", | |
| "Quick overview of the B-PINNs method steps/pipeline via code breakdown. Very little code is original work, most of the implementation comes from the repo [obok13/B-PINNs](https://github.com/obok13/B-PINNs)\n", | |
| "\n", | |
| "One problem instance is analysed an tested over different settings of parameters and input data.\n" | |
| ], | |
| "metadata": { | |
| "id": "DkbG4r8FZAWu" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "!pip install git+https://github.com/AdamCobb/hamiltorch\n", | |
| "!git clone https://github.com/obok13/B-PINNs" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "sqjtLSdOWDFW", | |
| "outputId": "a927fa54-94e9-4195-936d-11dd9ca3ae24" | |
| }, | |
| "execution_count": 2, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "Collecting git+https://github.com/AdamCobb/hamiltorch\n", | |
| " Cloning https://github.com/AdamCobb/hamiltorch to /tmp/pip-req-build-2e53e8pi\n", | |
| " Running command git clone --filter=blob:none --quiet https://github.com/AdamCobb/hamiltorch /tmp/pip-req-build-2e53e8pi\n", | |
| " Resolved https://github.com/AdamCobb/hamiltorch to commit 19b627b2aabc77c1b4b78db0f860372eb1bf9778\n", | |
| " Preparing metadata (setup.py) ... \u001b[?25l\u001b[?25hdone\n", | |
| "Requirement already satisfied: torch>=1.6.0 in /usr/local/lib/python3.10/dist-packages (from hamiltorch==0.4.1) (2.4.0+cpu)\n", | |
| "Requirement already satisfied: numpy in /usr/local/lib/python3.10/dist-packages (from hamiltorch==0.4.1) (1.26.4)\n", | |
| "Requirement already satisfied: termcolor in /usr/local/lib/python3.10/dist-packages (from hamiltorch==0.4.1) (2.4.0)\n", | |
| "Requirement already satisfied: filelock in /usr/local/lib/python3.10/dist-packages (from torch>=1.6.0->hamiltorch==0.4.1) (3.16.1)\n", | |
| "Requirement already satisfied: typing-extensions>=4.8.0 in /usr/local/lib/python3.10/dist-packages (from torch>=1.6.0->hamiltorch==0.4.1) (4.12.2)\n", | |
| "Requirement already satisfied: sympy in /usr/local/lib/python3.10/dist-packages (from torch>=1.6.0->hamiltorch==0.4.1) (1.13.3)\n", | |
| "Requirement already satisfied: networkx in /usr/local/lib/python3.10/dist-packages (from torch>=1.6.0->hamiltorch==0.4.1) (3.3)\n", | |
| "Requirement already satisfied: jinja2 in /usr/local/lib/python3.10/dist-packages (from torch>=1.6.0->hamiltorch==0.4.1) (3.1.4)\n", | |
| "Requirement already satisfied: fsspec in /usr/local/lib/python3.10/dist-packages (from torch>=1.6.0->hamiltorch==0.4.1) (2024.9.0)\n", | |
| "Requirement already satisfied: MarkupSafe>=2.0 in /usr/local/lib/python3.10/dist-packages (from jinja2->torch>=1.6.0->hamiltorch==0.4.1) (2.1.5)\n", | |
| "Requirement already satisfied: mpmath<1.4,>=1.1.0 in /usr/local/lib/python3.10/dist-packages (from sympy->torch>=1.6.0->hamiltorch==0.4.1) (1.3.0)\n", | |
| "Building wheels for collected packages: hamiltorch\n", | |
| " Building wheel for hamiltorch (setup.py) ... \u001b[?25l\u001b[?25hdone\n", | |
| " Created wheel for hamiltorch: filename=hamiltorch-0.4.1-py3-none-any.whl size=20806 sha256=23f3f4b00ed84be09e74b279cb260fbcd84c537bf886c245e812f63b3d2e6b51\n", | |
| " Stored in directory: /tmp/pip-ephem-wheel-cache-0aaak5i5/wheels/fe/87/94/9c0743e518e47f9ef7e6a31bbffa0a8f0463067b7146372625\n", | |
| "Successfully built hamiltorch\n", | |
| "Installing collected packages: hamiltorch\n", | |
| "Successfully installed hamiltorch-0.4.1\n", | |
| "Cloning into 'B-PINNs'...\n", | |
| "remote: Enumerating objects: 124, done.\u001b[K\n", | |
| "remote: Counting objects: 100% (124/124), done.\u001b[K\n", | |
| "remote: Compressing objects: 100% (59/59), done.\u001b[K\n", | |
| "remote: Total 124 (delta 78), reused 101 (delta 63), pack-reused 0 (from 0)\u001b[K\n", | |
| "Receiving objects: 100% (124/124), 73.93 KiB | 1.48 MiB/s, done.\n", | |
| "Resolving deltas: 100% (78/78), done.\n" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "# add repo to pythonpath so that `util` is available\n", | |
| "import sys\n", | |
| "sys.path.append('./B-PINNs/')" | |
| ], | |
| "metadata": { | |
| "id": "3eddDBjGYIAb" | |
| }, | |
| "execution_count": 3, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "import torch\n", | |
| "import hamiltorch\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "import torch.nn as nn\n", | |
| "import numpy as np\n", | |
| "import util" | |
| ], | |
| "metadata": { | |
| "id": "ArggPtySV6NB" | |
| }, | |
| "execution_count": 4, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "## 1D diffusion-reaction system with nonlinear source term\n", | |
| "> example from subsection 3.3.1 in Yang et al.\n", | |
| "Inverse problem for:\n", | |
| "\n", | |
| "$$\n", | |
| "\\lambda \\partial_x^2 u + k\\,\\text{tanh}(u) = f, \\quad x \\in [-0.7, 0.7]\n", | |
| "$$\n", | |
| "\n", | |
| "### Parameters setup" | |
| ], | |
| "metadata": { | |
| "id": "MhxhYC5iaJoN" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "# device\n", | |
| "\n", | |
| "print(f'Is CUDA available?: {torch.cuda.is_available()}')\n", | |
| "# device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')\n", | |
| "device = 'cpu'\n", | |
| "\n", | |
| "# hyperparameters\n", | |
| "\n", | |
| "hamiltorch.set_random_seed(123)\n", | |
| "prior_std = 1\n", | |
| "like_std = 0.1\n", | |
| "step_size = 0.001\n", | |
| "burn = 100 # HMC burn in samples\n", | |
| "num_samples = 200 # total samples\n", | |
| "L = 100 # resolution of the input (x) domain - how many points\n", | |
| "layer_sizes = [1,16,16,1] # 2 hidden layers with 16 nodes each\n", | |
| "activation = torch.tanh\n", | |
| "pde = True\n", | |
| "pinns = False\n", | |
| "epochs = 10000\n", | |
| "tau_priors = 1/prior_std**2\n", | |
| "tau_likes = 1/like_std**2\n", | |
| "\n", | |
| "lb = -0.7\n", | |
| "ub = 0.7\n", | |
| "N_tr_u = 8 # training points for u\n", | |
| "N_tr_f = 32 # training points for f\n", | |
| "N_val = 100\n", | |
| "\n" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "t4VRS9nTXlM-", | |
| "outputId": "a4eb8dc1-5282-483c-e656-fac3ae8aba4a" | |
| }, | |
| "execution_count": 5, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "Is CUDA available?: False\n" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "### Dataset\n", | |
| "\n", | |
| "The dataset consists of equally spaced points in the ground truth functions (both $u$ and $f$) with Gaussian noise added." | |
| ], | |
| "metadata": { | |
| "id": "9DYGkTodbmkD" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "\n", | |
| "exact_single = np.array([0.7])\n", | |
| "\n", | |
| "def u(x):\n", | |
| " return torch.sin(6*x)**3\n", | |
| "def f(x):\n", | |
| " return 0.01 * (-108) * torch.sin(6*x)*(torch.sin(6*x)**2 - 2*torch.cos(6*x)**2) + exact_single[0] * torch.tanh(torch.sin(6*x)**3)\n", | |
| "\n", | |
| "data = {}\n", | |
| "data['x_u'] = torch.linspace(lb,ub,N_tr_u).view(-1,1)\n", | |
| "data['y_u'] = u(data['x_u']) + torch.randn_like(data['x_u'])*like_std\n", | |
| "data['x_f'] = torch.linspace(lb,ub,N_tr_f).view(-1,1)\n", | |
| "data['y_f'] = f(data['x_f']) + torch.randn_like(data['x_f'])*like_std\n", | |
| "\n", | |
| "data_val = {}\n", | |
| "data_val['x_u'] = torch.linspace(lb,ub,N_val).view(-1,1)\n", | |
| "data_val['y_u'] = u(data_val['x_u'])\n", | |
| "data_val['x_f'] = torch.linspace(lb,ub,N_val).view(-1,1)\n", | |
| "data_val['y_f'] = f(data_val['x_f'])\n", | |
| "\n", | |
| "for d in data:\n", | |
| " data[d] = data[d].to(device)\n", | |
| "for d in data_val:\n", | |
| " data_val[d] = data_val[d].to(device)\n", | |
| "\n", | |
| "\n" | |
| ], | |
| "metadata": { | |
| "id": "snj0qrYWbkn9" | |
| }, | |
| "execution_count": 6, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "### Model\n", | |
| "\n" | |
| ], | |
| "metadata": { | |
| "id": "sCAEtvNFcRPI" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "# model (code from repo mentioned above, all credits to github.com/obok13/B-PINNs)\n", | |
| "\n", | |
| "class Net(nn.Module):\n", | |
| "\n", | |
| " def __init__(self, layer_sizes, activation=torch.tanh):\n", | |
| " super(Net, self).__init__()\n", | |
| " self.layer_sizes = layer_sizes\n", | |
| " self.layer_list = []\n", | |
| " self.activation = activation\n", | |
| "\n", | |
| " self.l1 = nn.Linear(layer_sizes[0], layer_sizes[1])\n", | |
| " self.l2 = nn.Linear(layer_sizes[1], layer_sizes[2])\n", | |
| " self.l3 = nn.Linear(layer_sizes[2], layer_sizes[3])\n", | |
| " # self.l4 = nn.Linear(layer_sizes[3], layer_sizes[4])\n", | |
| "\n", | |
| " def forward(self, x):\n", | |
| " x = self.l1(x)\n", | |
| " x = self.activation(x)\n", | |
| " x = self.l2(x)\n", | |
| " x = self.activation(x)\n", | |
| " x = self.l3(x)\n", | |
| " # x = self.activation(x)\n", | |
| " # x = self.l4(x)\n", | |
| " return x\n", | |
| "\n", | |
| "\n", | |
| "def model_loss(data, fmodel, params_unflattened, tau_likes, gradients, params_single=None):\n", | |
| " x_u = data['x_u']\n", | |
| " y_u = data['y_u']\n", | |
| " pred_u = fmodel[0](x_u, params=params_unflattened[0])\n", | |
| " ll = - 0.5 * tau_likes[0] * ((pred_u - y_u) ** 2).sum(0)\n", | |
| " x_f = data['x_f']\n", | |
| " x_f = x_f.detach().requires_grad_()\n", | |
| " u = fmodel[0](x_f, params=params_unflattened[0])\n", | |
| " u_x = gradients(u,x_f)[0]\n", | |
| " u_xx = gradients(u_x,x_f)[0]\n", | |
| " pred_f = 0.01*u_xx + torch.exp(params_single[0])*torch.tanh(u)\n", | |
| " y_f = data['y_f']\n", | |
| " ll = ll - 0.5 * tau_likes[1] * ((pred_f - y_f) ** 2).sum(0)\n", | |
| " output = [pred_u,pred_f]\n", | |
| "\n", | |
| " if torch.cuda.is_available():\n", | |
| " del x_u, y_u, x_f, y_f, u, u_x, u_xx, pred_u, pred_f\n", | |
| " torch.cuda.empty_cache()\n", | |
| "\n", | |
| " return ll, output\n", | |
| "\n", | |
| "\n" | |
| ], | |
| "metadata": { | |
| "id": "Dp7E7ZEIb4Dw" | |
| }, | |
| "execution_count": 7, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "net_u = Net(layer_sizes, activation).to(device)\n", | |
| "nets = [net_u]\n", | |
| "n_params_single = 1\n" | |
| ], | |
| "metadata": { | |
| "id": "wEEK9CjdccrE" | |
| }, | |
| "execution_count": 8, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "# sampling\n", | |
| "params_hmc = util.sample_model_bpinns(nets, data, model_loss=model_loss, num_samples=num_samples, num_steps_per_sample=L, step_size=step_size, burn=burn, tau_priors=tau_priors, tau_likes=tau_likes, device=device, n_params_single=n_params_single, pde=pde, pinns=pinns, epochs=epochs)\n", | |
| "\n", | |
| "pred_list, log_prob_list = util.predict_model_bpinns(nets, params_hmc, data_val, model_loss=model_loss, tau_priors=tau_priors, tau_likes=tau_likes, n_params_single = n_params_single, pde = pde)\n", | |
| "\n", | |
| "print('\\nExpected validation log probability: {:.3f}'.format(torch.stack(log_prob_list).mean()))\n", | |
| "\n", | |
| "print('\\nThe exact values of single parameters: {}'.format(exact_single))\n", | |
| "params_single = torch.stack(params_hmc)[:,:n_params_single].cpu().numpy()\n", | |
| "print('The means of single parameters: {}'.format(np.exp(params_single).mean(0)))\n", | |
| "print('The variances of single parameters: {}'.format(np.exp(params_single).std(0)))\n", | |
| "\n", | |
| "pred_list_u = pred_list[0].cpu().numpy()\n", | |
| "pred_list_f = pred_list[1].cpu().numpy()" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "Dy1v7jD_cgQ3", | |
| "outputId": "cb9e26c8-7246-48bb-b511-1280a16d4e58" | |
| }, | |
| "execution_count": 9, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "Sampling (Sampler.HMC; Integrator.IMPLICIT)\n", | |
| "Time spent | Time remain.| Progress | Samples | Samples/sec\n", | |
| "\n", | |
| "Acceptance Rate 1.00\n", | |
| "\n", | |
| "Expected validation log probability: -592.173\n", | |
| "\n", | |
| "The exact values of single parameters: [0.7]\n", | |
| "The means of single parameters: [0.7157427]\n", | |
| "The variances of single parameters: [0.05647108]\n" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "# plot\n", | |
| "\n", | |
| "x_val = data_val['x_u'].cpu().numpy()\n", | |
| "u_val = data_val['y_u'].cpu().numpy()\n", | |
| "f_val = data_val['y_f'].cpu().numpy()\n", | |
| "x_u = data['x_u'].cpu().numpy()\n", | |
| "y_u = data['y_u'].cpu().numpy()\n", | |
| "x_f = data['x_f'].cpu().numpy()\n", | |
| "y_f = data['y_f'].cpu().numpy()\n", | |
| "\n", | |
| "plt.figure(figsize=(7,5))\n", | |
| "plt.plot(x_val,u_val,'r-',label='Exact')\n", | |
| "# plt.plot(x_val,pred_list_u.squeeze(2).T, 'b-',alpha=0.01)\n", | |
| "plt.plot(x_val,pred_list_u.mean(0).squeeze().T, 'b-',alpha=0.9,label ='Mean')\n", | |
| "plt.fill_between(x_val.reshape(-1), pred_list_u.mean(0).squeeze().T - 2*pred_list_u.std(0).squeeze().T, pred_list_u.mean(0).squeeze().T + 2*pred_list_u.std(0).squeeze().T, facecolor='b', alpha=0.2, label = '2 std')\n", | |
| "plt.plot(x_u,y_u,'kx',markersize=5, label='Training data')\n", | |
| "plt.xlim([lb,ub])\n", | |
| "plt.legend(fontsize=10)\n", | |
| "plt.show()\n", | |
| "\n", | |
| "plt.figure(figsize=(7,5))\n", | |
| "plt.plot(x_val,f_val,'r-',label='Exact')\n", | |
| "# plt.plot(x_val,pred_list_f.squeeze(2).T, 'b-',alpha=0.01)\n", | |
| "plt.plot(x_val,pred_list_f.mean(0).squeeze().T, 'b-',alpha=0.9,label ='Mean')\n", | |
| "plt.fill_between(x_val.reshape(-1), pred_list_f.mean(0).squeeze().T - 2*pred_list_f.std(0).squeeze().T, pred_list_f.mean(0).squeeze().T + 2*pred_list_f.std(0).squeeze().T, facecolor='b', alpha=0.2, label = '2 std')\n", | |
| "plt.plot(x_f,y_f,'kx',markersize=5, label='Training data')\n", | |
| "plt.xlim([lb,ub])\n", | |
| "plt.legend(fontsize=10)\n", | |
| "plt.show()" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/", | |
| "height": 873 | |
| }, | |
| "id": "Mzybh1O3cjlt", | |
| "outputId": "6a30a720-1e51-421f-d526-b18ad68bf79d" | |
| }, | |
| "execution_count": 10, | |
| "outputs": [ | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 700x500 with 1 Axes>" | |
| ], | |
| "image/png": 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mOHwY/P1hyJBaOEknWrUz0q1dJnb0fL6wGF1xUaXbFxaqWZhCVEWDDbrS0jT1xhNCCHGGkqAraOO3+O35B5tfACk3TCx93uGARYvU/cGDVeBVF137UHPQ6Vma15e8T5c53V6yXaKqGmzQVVysFl4VQgihXW6u6tQOEDtvJgApw+8qs6j11q2qEarFAkOH1sJJatS2k4WLW6Vjw8AX83OcNuTKyJCLdVE1DTboAhliFEIIV5Uspxbw908EbN2I3WwhaeQDZbb57DP1s29fCAmp2fNz1fUPNQOdjiXZV5G/bGWl21qtsiyQqJoGHXRlZ5ddqFUIIUTlSoKumJNZrrRBY7BGxJY+v3MnbNkCBgNcd10tnKCL2l7gzwXN07BiZOnsFKepLBliFFXRoIMuh0OyXUIIoVVOjhpa9N35N8G/fIdDryfx1v+V2aakluuKKyAqqhZO0g03PNgY0PFFem/yV22odNvMTGmwLdzntUGX1rWyJOgSQghtSrNcJ2csZlw9gqLG55Q+f+iQmrWo08H119fGGbqnfbcQzm+STDEmvnrzSKXbnrnItxCu8Nqga/NmbdsVFckYvRBCaJGRAZbDewhd+wUAiWMeK/P84pPtrrp3V+ss1ifX36eGSBcnXUb+j79Xuq0sCyTc5bVB15dfap9lkpJSvecihBD13YkTqgY26tPX0dntZPYYSH6rTqXPJybC+vXq/ogRtXSSVXBuryi6xCRRhJnv3t5X6bYnTqiieiFc5bVB14ED8Oef2rbNypKCeiGEqExGBuhzsglfsQCA5JEPlnn+yy9VWcd550Hr1p57Xb0e/PwgIACCgtRsyNBQ9VOn89zr6HQwZHQwAMv2dcR+9FiF2zocUlAv3OO1QRecKuh0RgrqhRCiYg6HCrrCly/AkJdDfov2nLiwd+nzJ07AqlXqvqeyXDqdWjro3HOhXTto0wZatYJzzoEWLdTPDh0gOloFZp5w3rUtiPHLIoNQ/nh9Y6XbStAl3OG1QZfRCP/+Czt2aNtegi4hhCjfiRNgLbIT9flbACTfMLFMmmn1alUf26IFdO5c9dcLDYX27aFZMzCbK97ObIbGjaFTJ2jUCEymqr2uwQDXXK0WlVz6U2Sli/Tm5soavsJ1Xht09eypfpY06XOmqEg61AshRHkyMiDwtzX4HN6NzT+I9AG3lD7ncMCKFer+wIFVG/ILCFBZrRYtwMdH+34GA8TEQMeOEBbm/usDXH53R8x6G9usbTj20dpKt5Vsl3CV1wZdw4apN//mzXDwoLZ9JNslhBBllQwtRi1SWa7UwWOw+wWUPr91Kxw7puqurrjC/dcJDla1YH5+7h9Dp4P4eDUs6fZ5hJu4+tzjACz/PK/SbSXoEq7y2qArLg569FD3tdZ2SUG9EEKUlZ0NhsMHCP55OQAp199T5vmSLNeVV4Kvr3uvERysarQ8VRjfrJmq9XJX34ktAViVfhH5m/6ucLuCAsirPC4TogyvDbrgVEHnjz+q6czOSEG9EEKUlZEBkV+8g87hIKtbXwqbnZqamJYGv/yi7g8Y4N7xPR1wlWjcWF18uyP+gnA6RSVSjIn171ReGCzZLuEKrw66WraE889X05i/+ELbPhJ0CSGE4nBAVkIeEV99AEDKDRPLPL9ypfp8bd9eDeu5qroCrhKxsdCkiXv7DhyhhlCX7GiPIzm5wu0k6BKu8OqgC05lu1at0vbmkIJ6IYRQsrIg+NtPMWZnUNgonqzu/Uufs1rhu+/U/UGDXD92UFD1BlwloqJU1stVF49sTYRPDklE8e8bP1S4XXGxmt0phBZeH3R16qRmwxQXw9Kl2vaRbJcQQkBGuoOoz98EIPn6e9Q0wZN+/119VgYFwWWXuXZcP7+aCbhKREerrJorjEYYfLlaI27JuuBKW9BLtkto5fVBl053Ktu1YgXk5DjfJytLZbyEEKKhstvBumEjfru3Yrf4kjb4tjLPL1d19fTp41p/LL0emjf3XENTrZo3d72PV6/7OmLU2fmzqCPJn62rcLuMDO3LzomGzWuDLl1hHnPmzGD27GlcfLEa18/LUzUIzjgcsh6jEKJhy86G8E9Vm4i0/iOxBZ9qgJWQcGqZtYEDXTtuXJz7sxyrwmhUgZcrwmIs9G6jlgNasTCzwu1sNilLEdp4bdC16OlxzJo1FYPBgF4Pw4erx5cu1bZQaWqqutITQoiGKHt3IqHrvgTOLqAvaRNxwQWqWF2rwMCqtXKoqqAg11+/753NAfg2+UKs/+2qcLu0tCqcmGgwvDboeuen5UyYMJ2xY6cAqodMWJh6Y/zwg/P9rVaVMhZCiIbGbgfjx/PR2azkdOpGfutTa/sUF8P336v7rhTQGwyuZ5qqQ6NGrjVgbd0jmnOC0yjAh9/e/bPC7bKyVMZLiMp4bdBlAib2GnbqdxNcc426/+WX2sbfK5klLIQQXis70074kvcBSB02vsxzP/+shh4jIuCii7Qfs2nTytdRrCklXeu11pTpdNCnr7q//I9odIUF5W5X0rlfiMp4bdBVDHz09Ngyjw0apNbzOnDgVD1CZfLytBXeCyGEN8lfvhbLsf1YA4JJv/qGMs+tWqV+9uun6qS0CA2t+pqInuTj41r/rkvHtsekt/OvtR3Jn66pcDuZxSic8dqg63Hg+W2bmTNrauljAQHQ/2SbGa3NUiXbJYRoSOx28PnoPQDSB9yCw+fUWFxSklprEeDqq7Udz2RSWa66JiJCfSdoERxm4PI2almTtYsrTmedOCFLyYnKeW3QNSmmKdMB855/yzw+dKiqLdiyBfbudX6czEx5EwkhGo7sPUmErF8GQMq1ZYcW16xRw2hdumgvSG/SRHtGrKa5ku26YkwzAL5Jugjdrp0VbifZLlEZrw260gaNZgrwTGbZ3g/R0XD55eq+lmyXtI8QQjQktg/mqQL6jpdQ0LJj6eMOhwq6AK66Stux/P3V0GJd5eenfdizQ+9IYgNzyCaILbM2VbidBF2iMt4bdPUfhcNgIGDrRnz2/VfmueuuUz9/+kmly51JTZXGd0II72e32gn49GQB/bV3lnlu2zbVn8vPD3r00HY8d5bfqWmNGmkrqtfroc8Vqt/Qik3hFRbU5+VBfr4nz1B4E68NuqzhMWRerqYrRix9r8xz55wD552npvdqWRqouFhmpQghvF/uN+uwHC2/gL6kTcRll6lCdGdCQrTXTNUms1n7UGnPcW3Q6fVssl5IzpcVd9qWnl2iIl4bdMGpqc7hKz5EV1D20qMk27VypbYZilJQL4Twdrr3ZwOQ3n9UmQL6/Hw1MgBq2R+nx9GpDFJ9EROjbYmgyBgDl7RQXwZrP6u47iQ9XUZHRPm8OujK7no1hbHNMJ7IJHRt2QKu88+HFi2goODUGmKVyc1VNyGE8Eb2hCT8Vy8DIGV42aHFn39Wn5VxcdC+vfNjRURoy4bVFXq9+tu0uGKU2vCr4xdh3Luj3G2Ki9VMRiHO5NVBFwYDqUPHARC5ZHaZp3S6U0sDffWVthmKWuq/hBCiPiqYPR+d9ewCejg1tNinj/rsrIzBoD2AqUsiIrStCXlhvwhC/IpIJoqdszdUuJ0MMYryeHfQBaRdc1uFBfU9e6o3WkYGrF3r/FgZGVBYWE0nKoQQtcVuxzRX1b6e2YE+IQH+/VcFW1de6fxQ0dF1t0WEM1paSBiN0Ken+iJY/nNIhQX1mZmyLJA4m9cHXcWRcWReNhiAiGXvl3nOaFR9u0AtDaRlgevERA+foBBC1DLb6nWYjpwsoO8zosxzJW0iunSByMjKj2My1e6C1lUVGAjBwc6363VHS9AbWF/cA+tXK8rdxm6XCVjibF4fdEHlBfX9+6sp0EeOwG+/OT9WWpo0SxVCeBfrOyc70PcfWaaA3m6H1avV/b59nR8nLk77moZ1VWys822aNDfQsUkGdvRsWHi0wu1kiFGcqZ6/PbTJvqQPhTFNMWZnELp+SZnn/P1hwAB1/8svnR/L4ZCZjEIIL5KSgvm7ZcDZQ4v//KM+7/z9oVu3yg9jsUB4eDWdYw3y91cZL2euuCECgGVHL8R8cHe52+TkSEmKKKtBBF0YDKQNuQM4u2cXqCFGo1HVLeyseHWHUikpMlYvhPAOtrkL0BUXk9v+IvJbdy7zXEmWq2dPFVRVJjraeZF9faEl29V9cAQ+PnCAeI598F2F20m2S5yuYQRdQOo1t+PQ6wn860csB3eVeS4iAnr3Vve1ZLtsNlkaSAjhBRwOHO+rWtcz11nMy1OtIsD54tYmk/oc9RaBgSrjVRk/P+h5kSpXWbXOjK64qNztJOgSp/PaoOvMK67i6MZkXarGESO+mnPW9tdeq35u3Khm6ziTnCzN74QQ9dyPP2LctxubXwAZfW4s89TGjWporFEjaNu28sNERXlPlqtETIzzbXqObgZ6PcsLr8K8uvyGj0VF0rNLnOK1QVdU1NmPlfTsCv9mPrqisgPt8fFw4YWqcHTJkrP3PVNxsVzBCCHqN9ssleVK73sTdr+ya/aUtNG58srKAyqDwfmsxvooJMR5364OnY3EhReSiz9/fLi9wu3ku0KUqJGg6+2336Z58+b4+PjQtWtXfqtkmuD8+fPR6XRlbj5utDaOiVFrap0u69IBFEXGYcpMJWTDV2ftU7I00PffQ3a289eQ9hFCiHorPR39UrVSR8kFaYmUFNi6Vd2/4orKDxMZqQIvb+Qs26XTwRXXqGD1m73tMB87UO52GRnaWhIJ71ftQdeiRYt48MEHefLJJ/nrr7/o3Lkzffv2JbmSKYBBQUEkJCSU3g4dOuTy6+r15axwbzSSNvg2ACKWvn/WPp07q8WwCwu1LQ1UWCh9WIQQ9dRHH6ErLCSvdRfy2l9Y5ql161T5RMeOlQceen35owreIjTU+QSCK64LB5OZTXQj/+Pyi4LtdrUeoxDVHnS98sorjBs3jttuu4327dsza9Ys/Pz8mDt3boX76HQ6YmJiSm/RbnbbCw09e+pv6pA7cOh0BP22BvPR/We87qls11dfaZvqK9kuIUS943Bgn60uPFOHjSszfuhwlB1arEx4uLaFousrnc55s9fISLigfR4Aa1YUgNVa7nYy+UpANQddRUVF/Pnnn1x11VWnXlCv56qrrmLTpk0V7peTk0OzZs1o0qQJQ4YM4b///qtw28LCQrKzs8vcTtekSdl6hKJG8WR3VVNxIr764KzjXXaZepNlZcGqVc7/xrw8yXYJIeqZX39Fv+M/7BZf0vqPLPPU3r1w+LAqz+jRo+JDaAlIvEFEhPPAsvfNsaDTsySvHwE/lt+hPi8PcnOr4QRFvVKtQVdqaio2m+2sTFV0dDSJFaSI2rRpw9y5c/nqq6/4+OOPsdvtdO/enaNHy+/6O3PmTIKDg0tvTc5YPMvX9+wiz5L6hYiv54K1bHt5o/HUQthffFHhRUsZx47JTEYhRD1ysk1E+tU3YA8ou+5NSZbrkksgIODMHU/RMvTmDbQEl90uM+EXqOc4cez96JcKt5Nsl6hzsxe7devGrbfeSpcuXejZsydLliwhMjKS2bNnl7v95MmTycrKKr0dOXLkrG3i4souwJrV8xqKQyMxpSUS/PPZVyV9+qj1t5KT4ccfnZ9zYaHMThFC1BNZWTg++ww4u4DeaoX169V9Z0OLWloqeAtnkwXMZuh9ldpg+b/NMSWVnyTIyJDG2g1dtQZdERERGAwGkpKSyjyelJREjMZ3rMlk4rzzzmPv3r3lPm+xWAgKCipzO5PBoHrNlHCYzKUF9ZHlFNT7+MCwYer+559ry2IdPy6zU4QQ9cDChejy88lv0Z7czt3LPPXnn6q0IiQELrig4kMEBTlvp+BN9HrnzV+vuC4ch8nMd/THvPiTcrex2yE1tRpOUNQb1Rp0mc1mLrjgAtaW5KsBu93O2rVr6eZsIa+TbDYb//77L7Fa1mWoRERE2Q+J1KFjAQjatBJT4uGzth80SHUcPnhQ20LYxcWyJqMQoo47rQN96tBxZzXgKvmo7tWr7OjAmRpCLdeZnPUia9UK4htbKcLMxiVJFaa0ZIixYav24cUHH3yQ999/nwULFrBjxw7uuusucnNzue02lWm69dZbmTx5cun206dP5/vvv2f//v389ddfjBo1ikOHDjF27Ngqn8vpLSQKm7bixAW90NntRCw7u0N9QMCphbA//1zb8ZMqfp8JIUTt++03dH//jd1sIW3ALWWeysmBkvlNp819OouPj8p0NTQWi8oAVkSng97XhYNOzxfZVxP8S/nrMRYWausDKbxTtQddI0aM4KWXXmLq1Kl06dKFLVu2sHLlytLi+sOHD5Nw2ro7GRkZjBs3jnbt2jFgwACys7P55ZdfaN++fZXPJSio7IdFyvAJACroOqOgHtQQo9EI//0H27Y5P77VKi0khBB12KxZAGRcdQO2kPAyT/38s8rYN22q+hVWxBu7z2vlrCfZFX1N6P0sbKUzaR9W3OxRsl0NV40U0k+cOJFDhw5RWFjI5s2b6dq1a+lzP/zwA/Pnzy/9/dVXXy3dNjExkRUrVnDeeed57FxOz3Zl9h5GcXg05tQEQjZ8fda24eGnFnpdvFjb8ZOT1QeXEELUKenppQX0KdfdddbTJUOLV11V8bI/er36XGyoAgMrr2ULCYFLuquv1a//boL5+MFyt8vKUmsyioanzs1erG6+vqc+NBwmM6nX3AFA5Jfvlrv9ddepD6DNm+FA+Ss8lGG3a1swWwghatSHH6IrKCCvVSdyO15S5qnERPj335PL2lSy7E94uPcu+aOVs2zX1cODcZgsLOFaAr84uxckqMlZUlDfMDW4oAtUCwn9yb88ddi4kx3q12I5tPusbRs1OtUgUGttV2qqtm72QghRIxyO0qHFlOF3VVhA37lz5bP0vHnJH63CwiqfZHDeeRAZrSeLYP5YcgRdcfkprdRU6e/YEDXIoMtsPvXhURTXnKxLVcV85JLye4HdcIP6+eOP2mq2HA4op12YEELUjh9+gF27sPkFkH5GB/rTl/2prIA+MFAV0Td0zoZYDQa4clgQ6PV8njOAkPVLy92uuBgyM6vnHEXd1SCDLlCN/UquVkrqG8K/mYeuIP+sbVu1gvPPVzMTFy3SdvysLFkeSAhRR7yryifS+4/C7l92Qdrt21WfQR8fuPTSig8hWa5ToqIqrnsD6NPfgMPHj5/pQd7C8oMukDZDDVGDDboMBihp/ZXdrR+Fsc0wZmcQuqb8McSRJy8Ov/9e+wzFI0ekhYQQopYlJOBYqr74S2Zsn27NGvXzsssqLhI3m9UqHUJx9t8jKgrOu+hkh/ptzbEc3Fnudjk56iYajgYbdIGa+myxAAYDqcPGq8e+nFXutueeq8bqXcl2FRerdRmFEKLWzJ2Lzmolp1M38lt3LvNUYSFs2KDuV7bsT2Rk5ZmdhshZ5q/PUH8cZh8WMYLQxe9VuJ20GWpYGnTQpdOdWh4odcgd2I0mAv79Fd9dW8rdftQo9dOVbFdKiqwsL4SoJTYbvKe+8FOGn90mYtMmyMtTAUSnTuUfQssSOA2Rs/YR3bpBYLiJJKL59+sD6Aryyt0uK0v9PxANQ4MOugBCQ9VyP9bwaDJ7XwtA5Bflt49wJ9sFcPiwzFIRQtSC776Dw4exBoeRcdX1Zz29erX6edVVp2Z0nyk0tPLZeg1ZZdkuoxGuGOwPegOf5Q8h7PuKvzSkzVDD0eCDLjiV7Sqpdwhb+Qn6nPLXaXAn25WXJwWTQohacLKAPnXwbTgsZacepqXB33+r+5XNWpQC+oqFhVXet6xvPz02Hz/WciX2RRX3HMrMhIICz5+fqHsk6EItDRQQADkX9CQ/vh2G/FzCv/u43G1Pz3adbO6syfHj0oFYCFGDDh7E8Z1a/y/12jvPenrdOtXMuX171buwPP7+aiRAlM9Z+4imTaF9ZzM2DKzY1RK/HX9WuK1kuxoGCbpOatQI0OlKs12Ri9+ucEywJNu1erX2bJfdroYZhRCiRrzzDjqHg+yLr6KwaasyTzkcp4YWS5Y6K4/UcjnnbC3KPoMt2C2+fMpNRHz6ZoXbZWRIU+2GQIKukwIC1BTgtEGjsfkF4Lt/O4Gb15S7rbvZrqwsGWYUQtSAnJzSAvrkm+4/6+k9e9RFoNmsWkWUx2BQw2eicj4+6vujIpdfDj4hvhykOTtWHcSYWv6VusMhMxkbAgm6TtOoEdgDgkkbfBsA0QtfrXBbd7JdAEePymxGIUQ1W7AAsrIoaNqqdMWN05Vkubp1qzhgCAuruLhelFVZtsvHB3r398FhNPOhbVSF6/yCqrOTMhTvJm+p0/j6qg+apJvux6HTEfzLd/gc2FHutqdnuxYu1P4aDgfs3y9NU4UQ1cRuh9dfByD5xvvPipyKi9WqQFD50KKzYTNxirMZnoMGgd3Xn5X0o+jzpegKy6+al2yX95Og6wxxcVDc5ByyLr8GgKhPX69w21tvVT/XrIGDB7W/RlGRa9sLIYRmK1bAnj1YA0NIGzT6rKc3b4YTJ9QF5nnnlX8If//Ke1CJsnS6yuvfmjeHjhdZsOtNfJY1gLCVFV+pp6WpwFh4Jwm6zmCxqDdP0s0PABC+4kMMmWnlbtuunVqrzG6HDz5w7XUyMyEpqYonK4QQZ3rtNQBSh47D7nf22GHJsj9XXFFxuwMpoHeds8zg4Gv02Hz9+ZhRBC+seKKW3a5muwvvJEFXOWJjIe/Cy8lrcx76wnwil8yucNvbb1cfXL//Dlu2uPY6x45JfZcQwoO2boV163AYDCSPmHjW02lp6rMKKh5alAJ69zhbj/GSSyA8zod0wlmzrwWBv6+rcNvUVPlu8FYSdJXDZILIKF1ptivy87fQFZdf3dioEQwcqO6/9566StGqpL7Laq3qGQshBKW1XBlXDKc4pulZT69erepJ27WDZs3KP4QU0LuvsmyX0QgDhxix+/gxj9uI+vS1So8lLYa8k7y1KhATA9n9R1AUEYs5NYHQ1RV3Ex45UjUQ3L9fNRx0RVER7N3rWrAmhBBnSUqCTz4BIPnkBePp7HZYtUrd79+/4sNIAb37goNVxqsi/fqBPsCPLXThwE9HsRzeU+G2eXkq4yW8iwRdFTAaIaqxmZTr7wEgauGrFY7BBwfDjTeq+/Pnu97gLjdXBV6yPqMQwm2zZkFRETkdupLb8ZKznv7nH9X13M9P9Y4qjxTQV11lQWtICPS8yoTDbDmZ7ap4ohaoEhQZCfEuEnRVIjoaMm64E7vFB/+dfxGw5ecKtx0yRK1RlpoKS5e6/lonTqhMmQReQgiXFRTAO+8A5We5AL79Vv284grVO6o8UkBfdRERajZjRQYPBptvAF8xBMfXX2PIzqhwW6tViuq9jQRdldDrIbJdBGkDVG+IqEqapVosMPrk7OzPP1ezE12VmQmHDrm+nxCigfv0U0hOpii6MRlXXHvW05mZ8Msv6n6/fuUfQgroPcNoVH27KtKmDbTuYKbI4MuiwqFEfFX51PeUFDXUKLyDBF1OREZCxq1qGY2QH5ZhPrqvwm1794aWLdUb5GRphcvS0uDIEff2FUI0QHY7vPIKAMk33AtG01mbrFmjsiatW6vPqPJIAb3nOG0fMViH3TeABYwmbOGb6Ioqr0mRonrvIW8xJ/R6COvRnqzu/dE5HMTMf67SbceOVfe//db9rFVyshrLF0IIp5Ytg23bsPkHkjps3FlPOxywcqW6X1GWC2Ro0ZMCAiqvjbv8cgiM8iFB34j1KR0I/3pupcfLzVUX5KL+k6BLg/BwSL3rCQAivpmP+fjBCrft0kWtZ2azqdnb7s5KTEyEAwekxksIUQmHA6ZPByB5xH3Ygs4e19q2Ta356uMDvXqVfxg/P3UTnlNZtstshv4D9Nh8A5nDWGLnzaywLVGJo0dlXUZvIEGXBjodhA7oTvbFV6GzWYmZ92yl2991l/qA2779VPGqO9LTYdcumb0ihKjA11/D1q3Y/AJK+wqe6bvv1M9evSoOrKRNhOc5G64dNEi1j9is78aWpBjCly+o9HhWK+zbJxfi9Z0EXRqFhUHaxCcBiPh6HuaEiscOo6JgzBh1f+7cqvVayc2FHTsgP9/9YwghvJDDAU89BUDyiHuxhYSftUlODvx8ctJ1RUOLen3lhd/CPQaDGiWpSEQEXN1Hh803gNe5X13MWytfdDEvT+q76jsJulwQdk0Psi++8mS2a2al2w4erGap5OXBu+9W7XWLimDnTsjKqtpxhBBeZPly+PtvbL7+JI18sNxN1q5Vnx/x8erzqDxhYRWvwSiqxlkG8frrAT8/1uuuZNfxQMJXfOT0mKmpUt9Vn0nQ5YLgYMi6X2W7wr+eiymx4ksOgwEmTVI/N248NV3bXXa7aqB67Jikl4Vo8E6r5Uq5/h5sIWdXwTscp4YW+/evuHeUFNBXH19f1XC2InFx0Ku3HptfAG9wH7Fzn9FUT3L4sLSRqK8k6HJR2JDLyL6wN3prMbFOsl3x8TB8uLr/1lsq1V9ViYmqVkwWQxWiAfvuO/jjD2w+fiTd8nC5m+zcCQcPqqLtK64o/zDOggJRdc6yXSNGgN3Hj291gzh4zEjYyoVOj2m3q2baNpuHTlLUGAm6XOTvDzkPnsx2ffUBpsTKm2qNHKmuZtLTYUHldZKaFRSoD9QjR2TNRiEanNNquVKuvxtraPnf6l99pX727KlaGJRHslzVLyxMNUytSLNm0OMyle16k3uJnfu0pmxXYaGa4S7qFwm63BA2rCcnLuiJ3lpMzIKK+3aB6lR/333q/vLlKkvlKcnJ6njZ2Z47phCijlu1Cn77DbvFl6RR5We5UlPhp5/U/SFDyj+MXl95obfwDJ3O+X/nG29U2a5lumtJPFxE2OpFmo6dlSWF9fWNBF1u8PGBvIdPzmRcNgdT0tFKt+/SBa6+Wl2gvvSSZ4YZSxQWwp496iZj/EJ4OYcDR0mWa/gErOHR5W729ddq6Kljx4o70IeGSgF9TXE2xNiyJVx0sR6rbyBvMZGYD57WPHaYkiLr9tYnEnS5KezaXpw4/3L0xUXEzK+8tgtg/HjVSuL4cdU01dNvkOxs1Vpi/341/CiE8EIrV6L79VfsFh8Sb32k3E0KCk71B7z27GUYS8nQYs2xWCAoqPJtbroJbL7+LNaNIONgFuHfOp/JWCIjQ020knKTuk+CLjeZzDoKH5sGQOSS2fjs+6/S7QMD4fHH1dj+Tz/BN99Uz3llZKghx4MHVRZMCOElioqwT1INUJOvvwdrREy5m61Zo7LpsbFw8cXlH8rHp+I6L1E9oqIqf759e+jUWU+BXyjvcDeN3noMfY722pHsbNi9W5pp13USdFVB6LW9yeo1BJ3NRpOX73eavmrbFu64Q91/7z3Vbb46OByqj8t//6nMlww7CuEF3nwT/e5dFIdFkTB2Srmb2O1qKUZQtVwVDR9KlqvmBQerYLcyN98Mdl9/PjaMJiPNTuwHT7v0Grm5KvAqrrzHqqhFEnRVgcEAxc+/gt1sIei3tYSsW+J0n6FDoXt3dTXyzDOere86k8OhMl87dqg3ohTcC1FPJSZin6ZquY7dMxN7QHC5m/3xh1qjz88P+vQp/1BaCrtF9XBW29W5M7RrpyPfP5IXeISoT1/Dcmi3S6+Rn69mt2dmun+eovpI0FVF4Re1IPV2VVvR+NUH0RVUnlbS6eDBB1XqPzlZFdbXRAHkiROq2H77dpUFk6JLIeoP22OPo885QW77C0kbPKbC7ZYuVT/79at4ncXQ0MpbGIjqExFR+eQFnQ7GjQO72YeF5jFss7al8avlrzZQmaIitU7j3r1SZlLXSNBVRTodWKY+RlF0EyyJh4lZ8ILTfQIC4P/+T33w/forfPllDZzoSfn5qt5r2zZISpLmekLUeb/9hmHBPACO/O/NCldRPngQ/v5bPX3NNRUfTha3rj1a2nS0bw+9e4PVP4QpPE3wzysI+vlbt14vK0uVmRw/LkX2dYUEXR4QHOtH2v+9DEDMh89jPn7Q6T4tW8KECer+vHnw++/VeILlKCpSwxD//qt+Sg2AEHWQ3U7xXfcCkDpoNLkdL6lw05IsV/fuEFN+jT2+vlJAX9ucFdSDqv01+xnZ7NuTZQylySsPoCsucuv1HA5ISFCjHKmpcqFd2yTo8pDQsddx4sLe6AsLaPzqQ5r2GTgQrrxSvQmeflpln2qazaYyXtu2qXUdZeaLEHWHdd5HmP76DZtfAMcmVtyaJjMT1q1T94cNq/h4UkBf+ywWCAmpfJuICNUw1eYXyHTDU9gPHyHqszeq9LqFhXDoEGzdqoYd09IkAKsNEnR5iI+vjtxnX8dhMBC6fgmBm9c43UengwcegIsuUm+IqVPVm6E22O1qXcdt29RVkbwZhahl2dnw2KMAJIydijUitsJNly9X2erWrdXwVHmkA33doSXbNXw4xMTqOe7bkreYSOyc6RhTE6v82g6HGnY8eBD++UfVfh0/roKw3Fy58K5uOofDu0qqs7OzCQ4OJisriyBn3eg8zGaD9FvuI/LTN8mPb8f2T7eC0eR0v4ICeOIJFfAEB8PLL0PjxjVwwpUwGtUQRVSUCg6FEDXrxPiHCHz/FQqatmb7on9xmMzlbpefD2PGqC/SRx9V9UDliYhQ6/yJumH7dvX/rjIbN8KMGQ78shL4qfgS/Pv35OAM7U1T3WUwgMmkPvvPvNntKnCz20/dL7mdTqdT3yNm86mbyaTWL/b1rfY/ocZpjT0k0+VBBgPopz9FcUgEvgd2EDdrqqb9fHxg2jRV55WVBZMnq6UdapPVqmq9du50/sEghPCszCXrCJjzKgBHHnqtwoAL1JI/WVkQFweXXVbxMaWAvm7Rku3q3h26dNGR7x/BUzxJ+HcfE7ry02o/N5tNJQPy81Wfx9xc1d7oxAl1Py9PPV9UpDKsVqva5/Sb1aq2yc5WtWTHj6vhze3bVS3x4cPqOe9K+zgnQZeHhbcMJenJdwGInf8cgb9+r2m/gABV19W4sQq4Jk+uG31W8vJUn69jx2T2ixA1IXtfCn53jkLncJAydCzZl/avcNucHFi8WN2/+eaKW0H4+VXcQkLUjrAw5607dDo14UpvMbPC73p+5lKazZyA+ej+mjnJalJUpL7n9uxRNWYHDjSc1hYSdFWDkLHXkTJcTU2Mn3qL5nH4kBCYOVNdkR49Cg89pK4OapvDoeq9duyo3mauQjR0ebkOHGNuw5yaQH58O448/Hql2y9bpt6TTZpUPKwIkuWqi/R6bRMbmjeHAQNUUf1Dfu+Sn2sj/ombweodU85tNkhPV60tjhzx/poyCbqqQUAA5M54hbyWHTGlJxM/9RbNaaLIyFOB17FjcP/9KhVbFxQUqKWLEhJq+0yE8D5FRZD51OsE/7wCu9nC/pmLcPhUnJ46cQKWnFwEY9SoiptuGgwqqyLqHq01s6NHQ2SkjgM+7XjY+Br+2zYTN/vJ6j/BGuRwqIbhJT0kvXXYUYKuatK4lS+HX1iEzcePoN/WELPgee37NobXX4c2bdQH6+TJ8L22Ucoacfy4WtNRhhuF8AybDY5+9Scxr6rVLY48+CoFLTtWus+XX6rh//j4ymu5wsMr7KcqapnJpG1GaUCA+h7Qm4ws9R3Jp9xEzPznCPxtbfWfZA2z2dRIz3//qfoxbyNvxWpiNEJUz3YceeQtAOJmTcF/y0bN+4eFwQsvqA9TqxVeeQXmzq07gU5Ghsp6FbnXr08IcVJREez56wRxD92I3lpMRu9hpJ4sT6hIZuapha1vuaXyoEqGFuu2mBht2a727dUsVbvFl8l+b7DT0YbmU2/BmFHLs66qSWGhWjM4I6O2z8SzJOiqRmFhYB01hrR+N6OzqXF4Q1a65v0tFnV1c9NN6vfPP6/+RbJdkZenZjd649WIEDUhJ0fVSkZOuwefI3spim7CoSfmOP0W/uILNdzfqhV061bxdgEBana0qLssFrUephbDh6u+jnm+YYyzfERxahbNnrrNa8fi7HY1qpKUVNtn4jkSdFWzZs11HHtiFgVNWmJJPEyLx29EV1igeX+9Xo3nP/ywyp5t3Ajjx6s1G+uC4mLvvBoRorqlpqr3Tvic5wj/9iMcej37n1mILbjyAqy0NNUmAlSWq7L4TEtbAlH7Yivue1uGXq8mWIWF69nt25nH9c8R8vMKmrx4n9cGXqCGGw8f9o4/UYKuamYyQVybQPbPPFnftXk15/zvWnRFrs2PveoqeOklaNRIzfSYNg1efFHVfNU2u11N+a0LLS6EqOscDvUFcugQRH34Eo3fmgzA0fteILdLD6f7L1qkhiTbtVNZj4qYzc6XmxF1g4+P9v9XISFqBERnNvGZ/x0s4gaiPn+LRq//zzuikgqkpKgVW+r7aikSdNWAiAgwXnQ+e19bgd3iS/Av39HikeEuB15t28I778B116krnrVr4c4760bWy+FQaeDs7No+EyHqrvx81ZsoJQWiFr5G49f/B8CxCdNJHnX2mq2zZ09jzpwZpb+npMDnn88gN3cao0c7z3LJahL1h9ZsF0DHjmrGqt3ixyMh7/Mn5xPz8cvEvfOEVwde2dnq/VNXapvdIUFXDWnWDPIu7sXe15Zjt/gQ8vMKWjx6vcsrx1ssMHasWiqoSZNTWa+nnlJXz7XJ4VDreNWVmjMh6oqiIrXW3fbtKjsd+fnbNHnlAQCOj51C4tgp5e5nMBiYNWtqaeA1adIMcnKmEhNjoHPnil/PYJDFresbPz9wZeW6ESPgggsgzxjEdSFr+ZWuxM57ltjTgnRvlJur3kv1lay9WIOSktTYdODmNbR8cDD6wgIyew5h/3OfV7rMR0WKiuDDD1WvHrtdZb/69FFXQLX5gWswqIV3pQO2aOisVtXXLiXlVAIi4svZNJupZicm3DaZ43c/U2lKas6cGcyaNRWj0YzVWoS//3Tmz59CfHzFrxsVpS7KRP2Sk6NmhWtVUKAuurdsAb/iTD7JGkQPNnJ04nMkjXm0uk6zToiNVUtf1RVaYw8JumrY3r1qnbTAX7+n5YPXoC8qJKPXUA7O+Bi7r79bxzx8GObNg02b1O9mMwwZoq6EAgI8ePIuMBpVnzGZOSUaGodDZbOyslSxfOlQiMNB1Gdv0OTlSQAk3vIwx+57QdMYYLduFoqLiwAzd99dyO23V759hw4qKy7qn127XBstKCyEGTPgjz/AtzCTD08MpRcbOD5uKgl3THG+1lA9Fh9fdxr/yoLXdVTz5iooOnFJH/a9/BV2s4XQH5bR7qbOLvXxOl3TpvDkk6qX17nnqgzY4sVq1uOCBerDv6ZZrWpmVrF3rFQhRKWKi1WAtW+fyjrs2aO6a5cEXMbUBFreP7A04Eq6aZLmgGvOnBmlARcUUVRU+fBRSIgEXPWZK7VdoP5fP/kkdO0K+ZYQRgUsYzVXEff+dNqMvxzz0X3Vc6J1wMGD9a+cRTJdtSA3V13NOBwQ8OcG4qfegjnpCA6djqRRD3N8wnQcFvdSRA4HbN6sMl+HDqnHLBa1dtfw4TU/7BgQoIYapaBX1BUOh5oBdfqtok9Bh+Psm9WqsgtFRadulc2oClmzmGYzJ2DMSsdutnBs4nMk33S/5oBr1qyp+PlNx89vCt27z+Drr6cyYcJ0xlZQB9a6NQQGavkvIeoqd/ofWq1qCbmNG8FcnMPLBRMZUbgAu68/Rx56jbQhd3jlB7HRqCaZ1faFhgwv1uGgC9RV8JEj6r4+J4smL91PxPIFAOS3OJcD0z8kv+35bh/fbodffoHPPlNDmqD+cV59NVx/fc2OhcfEqFYXQtQkh0PNFszLO3XLz6+5mU+G7AyavHgv4d99AkBu2/M5OP0jClq013yMd9+dxsqVBgoLp9C7Nzz6qArEbDYbd9457azt/fxUKwlRv7la21XCalWthDZsAJ3dyhWs45X0McSRQObl13Doifexhnlf8zYfH/XvvjaXu5Kgq44HXaBaLJzeVDT4h69o9ux4TOnJOAxGUofcQcrwCeS36eL2azgc8OefKvjatk09ZjBAr16q5uu776ZhMBjKXDVX9qHurpYtITjYY4cTolwOh+oXl5qq6qpq49PNmJpIxFcfELn4bcypCTgMBhJue5zEO55wecLMF1/AnDkqYzxnjvNeTs2ba1vLT9R9Z34/aGWzqc/7Tz8Fq9VBQHEmT+Q8wm22D7AHh5I6dBwp195JUaNKZmLUQ7U9eaRO1XS9/fbbNG/eHB8fH7p27cpvv/1W6faLFy+mbdu2+Pj40LFjR7799tuaOM0a16xZ2ZRoVq8h/Pf5f2RceR06m5XIJbNpP/I82o7uSviyD9DnuT54rdPBhReqxqovvaTu22ynenz9/HPZKeklwxkGg8FTfyagxt5lnUZRXQoL4dgx+PffU/3iajTgcjgI/H0d8Y/dQKeBTWj07hOYUxMoaNqKnR9sJGHCdJcDrsRE+OgjdX/sWOcBl8lUd4qKRdU1auTeaKDBACNHwttvQ7t2OnJMoUwOfIdr/NdyICuMmAXP02HoOZwzaRBBP39b/7uNnpScXDeahTtT7ZmuRYsWceuttzJr1iy6du3Ka6+9xuLFi9m1axdR5axR8csvv3D55Zczc+ZMBg0axMKFC3n++ef566+/6NChg9PXq0+ZLlDDHTt3njHk4XAQ+Md6IpbMJmT9UvRWVY1u8w8k44rh5LW7kLzWXchv1Qm7v+vFG7t3q6ugktmOeXkzyMs7NSW9snqRqvD3VzMavbCsQNSSwkI1TF/jk0Wsxfgc3Infri347d5C8E/L8Tm8u/TpnE7dSbnuLjKuvM6t+kybDZ54Av7+WzXCfEFDzX1cnOtF2KJuO3ZMBd/ustth+XJV45uf78BQXMBlxk2MSnudvqzCh0IKG8WT1a0feW3PJ6/t+RS0OBeHuX7OxLBY1MLgtTHMWGeGF7t27cpFF13EW2+9BYDdbqdJkybce++9PPbYY2dtP2LECHJzc1m+fHnpY5dccgldunRh1qxZTl+vvgVdoIZD9u8v/8rcmJ5M+DfziVj6Hj7lzEIpbNSCvFadsIZFY/MLwO4XqH76BmC3+AA69Wl98ubQ6bH7+mPzD2J3VhQfr4tj/R+BpKT5AUXo9WbWrCl0qUmfK2o7BSy8g8OhrmyPH3ehRsvhwJCVjiE3G0PeCfS52RhyT6DPz0FfXFS2Wh4HOqsVQ34O+twTGPJOYMjNRp+bjc/Bnfju26b2OY3NL4C0AbeQOnwC+a06VenvmzNHDS1aLPDmm2qGcmX0ehWceXF3gAbJZlNlIVZr1Y6TnKwyX5s3q991NivBtjSG5C/ixuIPOY+/MaDeSHajiYIW51LQvC02/yBsAUHY/IOw+wdh8wvEYTBQ5nsFcJjM2PwCsfsFnPoZEIw1JKLGr7IjI52/X6pDnQi6ioqK8PPz44svvmDo0KGlj48ePZrMzEy++uqrs/Zp2rQpDz74IJMmTSp97Mknn2TZsmVs3br1rO0LCwspLDy1nE52djZNmjSpV0EXqEVsK+2ya7cT+OcPBP62Br/dW/HdsxVz8jGPvPYkwniddEqmpIf6TmbSDWPpe1sMxgDPdzg95xxZE064Lz9fzcytdHaX1aoyUbu34Lt7C367/sZv9xaMWekeOw+bfxB5bbqQ17oLee0uJLPXULcyz2das0aVAoBaY69nT+f7REdD48ZVfmlRB6WmnpqJXlXHj6t/X2vWqEAMhx19USE+jjxaGfZzbv4ftCvaSlt20pyDBJFNICcw4V7UZw0KJb9lJ/Jadya/VWfyW3cm/5wO1Z5Jq40ZvFqDrmq9LkpNTcVmsxEdHV3m8ejoaHbu3FnuPomJieVun1hBjnXmzJk89dRTnjnhWhQerq5qSmY0nkWv58RFV3DioitKHzJkpuG3Zys++/7DkJNZetVuOHllrisuLL1y15VcwdttGPJz0Z+8cp+ZkcLrxelMB3pxMaNpyYH8mby4oJiVC65lSpdvOGdsL05cfJXHcraHD6s3hIfLxoSXczhUd/fExIrrtSyHdhO5ZDbhy+dXGGDZfPyw+weevCIPxOYfiMNoPpkJPi0rrDeUPm/3DVA//QIpjIsnr815qhDZw1fxO3fC66+r+zfeqC3g0uvVDGHhnSIiVICUn1/1Y8XFwa23qlVL/vkH1qzRs3GjL3n5vmwlnK2mC9HZbeisxWCznfzesGPRFROgz8Nfl4uPrhCTzoZJV4xJZ8Wks+JLPmGONMLtKYRaU4goTiCy6Bhts3fS5K8NBP61ofQcrAHBpPcfRcrwOylo2bHqf1Q5Dh5UPStrczZjRep9Mnry5Mk8+OCDpb+XZLrqo6ioU8uGaGELCT8rEHPVsdnTmKDXM7T/KPx2/c2P2/9m4jdXsykjl4OOZtyxZSITJs5iUuNJZF03lrTBY7AFV61at7hYLYfUrFmVDiMaELtdNR4tb0F1XXERwRu+IvLLWQT9vq70cZtfgKp9bH0yG9X2PAri27vdA6+6paXB9Onq/XHJJerLUYvISBlW9HZNmqhaXE/R66FLF3V74AH1nXPwIBw8qOPQISMHDhhJSVE1kwB5J29OGQAT4AslQ/Shphw6+e+ji/V3Ls5YRdecdUQtfpuoxW+T0/ESUq+9k/Srb8Dh47lRlaIi9R1TG8OMzlTrWzUiIgKDwUBSUlKZx5OSkoip4NIsJibGpe0tFguW2u6K5kFxcSrwSkmpmdcraQtRBBQ1bgFXDmfKvZCX62DBK2ksX2ViVuFd/Hj0ct5+7R46vft/pA6+jWMTn8Me4P7wbWqqyu7V1jJFov6w2VSH97OGEx0OIpa+T9zsJzGlqUy4Q6cjq8dAUoZPILtbv3qTTi0qUgFXerq6GPnf/7RdpUuWq2EIDFQtd6pjwojBoIamGzeGHj3KPme1qvUdc3NP9borLlaPW62n7uflnVr6quRnWpqOw4dNpFtD+SHnQn7gQvCdgMVSwCC/tUw4/iRd/v2VgH9/pfHLk0gYP43kG+/zWHoqJQVCQ+teo+AaKaS/+OKLefPNNwFVSN+0aVMmTpxYYSF9Xl4e33zzTelj3bt3p1OnTl5bSF+eAwfUB3Bt+/VXePVlGydSCvAtyORJ6xOMYT5Fsc04OP0jcs67zO1j+/iomSYym1FUpLhYBVxnDq0YUxNoPmMswRtVO5ni8BhSh44ldehYimLrVwrV4VA1XGvXqi+I11/X3rxYarkajsJC2L695pr7ekJRkZoktmuXuu3cqerKAHR2Gx0DD3DHiVcZnj4HC0WcOL8nB5+c57EeYjX5HVMnCulBtYwYPXo0s2fP5uKLL+a1117j888/Z+fOnURHR3PrrbfSqFEjZs6cCaiWET179uS5555j4MCBfPbZZzz77LNe2zKiMkePwhlJv1qRnq7WdfzjDwe64iL6FC1nVv5o/HV5JN36iFq2yMUeRCVkmruoSGGhCrhOmycDQMiaL04uq5OmltW5+xl1hWw01c6JVoHVCm+8Ad9/rzIOzzyjhny0kBmLDY/TCVd1nMOhAq9vvoEffyyZlekgjAz+L+t/3FI8F7tfAEcefNVjyxY1baqG4KtbnQm6AN566y1efPFFEhMT6dKlC2+88QZdu3YFoFevXjRv3pz58+eXbr948WKeeOIJDh48SKtWrXjhhRcYMGCAptfypqALVIr0yJHa6ax9OodDvVHefx+Ki+x0NmxjUXJvwkknr3UXDsz4mIJzznX5uHq9uhLxohFi4QF5eWr5qtMXTDecyKTJC/cS/t3HapvWXTgw/SMKWjq/GKuLcnJUkPX33+p9cP/90Lev9v0ly9Uwudupvq7JzISVK2HFCvU9p7NZuYK1vJ5xK9Ekk9ljoFq2KKJqV+VGI3ToUP2VBnUq6KpJ3hZ0gSoe3r+/bjQO3rULpkxR59QsIJUv0nrT/MQ27GYLB6ctIKPPCJePGRiopvgKAWpIYseOsr2JzMcO0PquK7AcP4hDrydx9GMkjH/S7QxrbUtOhqlTVdbCx0e1hjh5HaqJXq++SEz1L7knqshmU8OM3rLCh9UKX30F8+dDcbGDUHs6L2aNY4htKcVhUex+d51bF/Snq4kLlDq1DJComqAg1cndXAe+X9q0gZdfVjMtD+VE0C/qL37vMg59USHxU0YSsvZLl4954oRKmwths6kMV5mAK+EQrSf0xnL8IIWN4tn1/k8cv+eZehtw7d0LkyapgCssTNVzuRJwgRoukYCrYTIYIN6Llk00GmH4cNUE+JxzdGTowxkXtIgJwQvJSy+g9V1X4LN/e5VeIzn57DKF2iJBVz3h6wtt29aN2X5Nmqgar2bNIC3LxPUZs1ndYxo6m40Wj99I8I/fOD/IGY4erRuZPFG7DhwoWzRvSjyiAq6EQ6XrGOZ27l57J1gFDgesXw8PP6zqJOPjVdF8y5auHUevV1fuouEKCPC+WtjmzdX74aabQGcy8aVxBFf5/ExCukVluQ+W39tTC4dDfcfUBRJ01SMmk8o0NW5c+03fIiLUFXq7dpCbq+O2/VNZcfE0dDYrLR69jqBfVrp0PKu1amuMifrv6NGyU+JNycfUh+2xAxQ0Pofds9ZXub6jtvzzj8puPf+8moJ/3nnq/eNOgW9UlGS5hAq6/P1r+yw8y2iE0aPVaEpsnJ6D/udyreVbEtNMtLmzN5aDu9w+dmZm3VgQW4Kueig6WgU7tf2GCwyEmTPhoougsEjH3YlT2dz1XvTFRZzzv2EE/rbWpeMlJ5ctnBYNR1pa2Zm6xtQEWk+4Ap8jeylsFM/uWespjmpUeyfopoMH4ckn4ZFHVD2kj4/qBj5jhnvvX7PZ+zIcwj06ncqWeqpAfPbsacyZM6PMY3PmzGD27GmeeQEXtGunLkoaNdZzKKAdwyzfkphmVFnvw3vcPm5dyHZJ0FVP+fiorFejRrXb58rHRxUEd+wIeXk6bs9+jT1dR6EvLKDlA4MJ+OtHzcey20/1cBENR05O2bXljOnJtL7rSnwO76Ywpim7311HcUz9WWUiP1/1t3vpJbj7brXIsMEAgwfDvHkq6HK3zUNdyHKLusNiUWvZeuLfhMFgYNasqaWB15w5M5g1ayqGWmowHB4OL7wAcY0MHPZvz7WWFSSn6mk9oTfmo/vdOmZeXu3XD8vsRS+Qn68i+PKWSKkpJ06o4ZNjx6B1SztfOoYRs/lrbP5BbP/kb9XtXgOdTrWQ8KmbK7UIDztrpqLNRuu7riTwrw0URTdm1+wNmv/t1BarVa0n+uef8Mcf8N9/ZScC9OgBY8ZUffZUUBC0alW1YwjvlJ2tJmhU9du8JNAymcwUFxcxYcJ0xo6d4pmTdFNqqsoUJxy10Sz3P5YWDiCsTRQ7521ya+Fsk0nN/PX0xYu0jGhAQVeJ7GwVfHliYVR3HD+uAq/sbOh+sZUPj/Qm+N+fyT33YnZ+8LPm5pUhIerqTXi/PXvKXizEvj+duNlPYvMLYMeHf1DYvE2Vjl9QoIrz9+1Tt6NH1SymoiJ1KyhQQ9p6vcoa+PionxaLGsozmVSWymhUN4NBvb8yM9UtI6Oc5YlQS/NceCFceaUaKqkquRgRzmRlqX/jVf1G79bNQnFxESaTmU2b6saUv9MDr/isv1lquwbDjddz9OHX3Tpe48aen4wiQVcDDLpKpKWpAKg2+rj89x88+qi60r++TyZvfBOP8UQmCWMe4/jEmZqP06ZN3ZipKapPcrJq/Fsi4O+faH1nL3R2Owemf0T6gFFuHXfXLtV08b//VJBVE8umWCzQuTNccIEKtuLiPDvsHxOjSgmEqExmpurp6O63el3MdJUoCbwSDxZwYfZaljGUQy99QVavIS4fy2hUJTGezHZJ0NWAgy5QXzQpKao4uaaL03/4AZ57Tt3/X6/feeSLi3HodOx563tOdL1K0zH8/VWLDOGdCgrUsGJJQGTITKP9yC6Yk46SNvBWDj61wKXjFRXBhg1q1YTdu8s+FxamMqctWqhp6b6+KmNkMqlgyWRSX1IFBSoLdvrNZlPvn9N/+vqqbOzpt4CA6qu1Mpvh3HOllktok5GhsruufrOXBFwlgdaZv9cFiYkwcSLkJ2UxIf9Vngh6g+0Lt7pV89mokWcXi5egq4EHXSVqK/j69FNYsEANx3x67gx6r5tKcXgM2z/7B2uotnny55yjvtCEd3E4VDaqdFjO4eCch4cRsuErCpq2YsfHf2H305bmzMyEL75QaxeWDFMajXD55dCzp6qBCgurlj+jxrRoAaGhtX0Woj5JT1eTU1zJ8s6ePQ2DwVAmwJozZwY2m40775zm+ZN006ZN8NRTDoyZqSywjqR75zx2zf7B5dkpnl4eSIIuCbrKsNtVejYxsWaCL4cDnn0WfvoJmjSysTbzAkIPbSXr0gHsfW25prGXmlwhXtSchISys1QjP3+bpi9MxG4ys3PeJvLbnq/pOL/+Cq++eqq3V1QUDBgA/fp5T7AuxfPCXYWFKuNVXs1hfTd7Niz7wkp45j5WO67EcMdtHL9rhvMdz+DJbJcsAyTK0OvVl1KHDqqI0N0p61rpdHDvvSrLcOSYgccvWIXdbCF447dEffaGpmMUFNT+9F7hWXl5Kugq4bt7K41fewiAY/e9oCngystTwda0aSrgio9XvbDmzYMbb/SegEuvh6ZNa/ssRH1lsdSNtkLV4Y47oFU7I+kBTbmLdwn/4HmX+0KCGgGq6ZVQJOhqYEqWEOnYUb0Zq7MFS1AQPPCAuv/Fj9EsvW4hAI3eeATf3Vs1HSMxseqzcUTdYLeXrTXRFRUS//iN6IsKybxsEMk33uf0GNu3wz33wKpV6ovkuuvgjTegW7fq/bdcG5o3V1+cQrhLp1OZnHbtVC2itzAa4fHHwTfMl999LuN5HqX51FvQ57jWN8lqVRN6apIEXQ2UXq/ejB07qg7X1VWke9FFMHCguv/EX8M43H0E+uIimj53l6ZoqrBQ1SeI+i8hQWUvS0QtfBXfgzspDo/h4JPzKr0cdzjgww/VuoUJCSpr+/zzMHasdy6JExUldVzCc3x9VeDVpIn3tB2JiYEHHwSbfxDvGCayIfVcYj9wfYixprNdEnQ1cAaDmt7eoUP1fciPG6deIzVVx6Phc7D5+hPwzybCvvtE0/6yJmP9V1BQdpkfU/IxYj94GoCj97+ILSSiwn0dDnj7bVi4UGXLrr4a3nkHOnWq7rOuHQEBVW+kKsSZdDoVzJ97rhp2DAur/8OOl14K1wzRY/cPZhKvYf5kvssLY9tsZT+bqpsEXQJQ2YIWLVTRrqeHNHx84H//U9m0NZsC+PiKeQA0evNR9Hk5TvcvKJBsV313+HDZxGajNx/FkJ9LTqdupPcfWeF+DocKsJafnHvxwAPw0EPe28PNaFTvw/r+ZSjqtoAAVQvZqZMK8ENC6m/GeNw4aNrah3RzDM/bH6bJS/e7XJOSnFx2FYnqJEGXKCMoSF0JxcV5dsixXTu44QZ1/6n/hnM45iLMKceJmfespv0l21V/ZWSoZaJK+G/ZSPh3n+DQ6Tjy8BsVRhglAdc335wKuPr2raGTrgU6nQq46uuXn6h/jEZV43vOOSoA69QJWrZUJSehoSo4s1jqdr2kyaTqPG3+wXzMKA78mkTwhq9dOobNVnO1XdIyQlSosFAtK+GpZYWsVrj/fnXMPq0O8MmmFthNZv5bvJ2ixs7X/ZG+XfWP3a46w5eujmCz0Xb0xfjv/IuUoWM5/MT75e7ncMCsWfDVV6cCrj59au68a4OnmzUK4Ul2u2o3ZLWefStZUqukoXBteOEF2PBNNufn/8yXcfeyY/F/OCzaC9gMBlXj7G6AKS0jRJVZLKorfHi4Z45nNKovT50Ovt/TnPXn3oO+uIgmrzyoaf/TWw2I+iEhoexyVBFfz8V/519YA4I5fvcz5e7jcKg+PF99pX6fNMn7A66wMAm4RN1Wsj6pvz8EB6vvhehodbEQH69GM7p0Udmy1q1V0X5wcM0Nld9xB1jCA9iiP58lxy8h+qOXXNrfZlONxKubBF2iUnq9mrretKln3jwtW5YMEemYYnwOm95IyI9fE/jr9073zcs71QhT1H1nFs+//8ajzHt5EgAJ46dhDYtizpwZzJ49rcx+n3wCy5ap+5MmefeQIqji5vj42j4LITzDZILAQPXvumVLFYi1aKEuLKpzmDI8HG4ZrcfmH8Qz/B8+c9/BlHjE+Y6nSUqq/rVaJegSmkRGqqyX2Vz1Y40eDX5+sOtYAHMumQNAk5cngdV5q3zJdtUfR46UrWcN/vtHnirIY2pIBMk33FO6tpvhtE/iv/5SQReoNdb69avhk65hcXEqIyCEt9LrVX1YfLxaFD4+3jPfI+UZPBiatfElwxjFC0X30/j1h13a32pVK7dUJwm6hGZ+fiqFXNWZY6GhcNNN6v4rSaPICG6G74EdRH3+ttN9c3PLFmWLuikz89RaiAA++/7jue2/Mx2YkZlKt8sCzlpMNy1N9d5yOKB/fxg0qFZOvUbodNCsmSpYFqKh0OlUxqtDB3Wx4emVUYxGuPseHbYAVVR/ZPVOAv7c4NIxkpKqtyG3BF3CJUajShlXNfAaOlRd5adnGZjZ5XMAYt+bhuFEptN9JdtVt9ntKst1ukbv/B86m42JvYZiMpkpLi7CZDKXBlxWK8ycqYaPW7SACRNq4cRriF6v/saIiluTCeHVSnqGdejg+ebcHTtC7z4mbD7+TGYmMe9McSmKKiqq3uXnJOgSLjMYVD+vqgReJpPqrwLw0a6L2NXkSow5WUQuetPpvidOeOcirt4iObls8bzvri2EbPgKh07H1OgmpQFXcXERc+aoDtIffQTbtqls6v/9n/cuf+Pjo947MgtXiFPNuc8917PLFJUW1dOF77bGEfjHepf2r87l5yToEm7R66seeF1yCZx3HlitOqZGzQYgeuGrmtbPqskOwkI7q/XsnmqxJwOr/2txLm8tepMJE6azaVMhEyZMZ9asqTz11AwWLVLb3n+/mg3lbYxGNRmlfXvvbewqhLvMZlUz7KlVUcLD4eZbjNh9/HmFB4mYPcOlKKqwUPUXrA4SdAm3VTXw0ungzjvVcdYdasG66BsxZmcQtdh5bVdmpnpjiLolMbFsnx7fPf8Qun4JDp2OzPMuL1PDNXbsFG65ZTo//aR2GDwYevasjbOuPjqdmlbfoYOajCKd5oUoX8mwe1ycZ443eDCExPlylMZ8s6UpAX/+4NL+1dWQW4IuUSVVDbyaNy9ZEFvHE36vYEdH9McvO10eyOGo+dXhReWKis7+f1KS5cq46nrueOzt0oALVHB28OAUjMZptGoF48fX5NlWLx+fU+vcNW5ctzt6C1GXxMaq4KuqdV4WC4wYZcbu48/r3E/4LG2rn5TIz6+eFkUSdIkq0+tVt3h3pwHfcouq5dlzIoZlEWMxZqURufgdp/ulptbcelnCuePHy2bwffZuI3TtFwAk3PHEWdsvXw47dqj/948/Xr3L35hMqlFjdLRqQhoToz7cY2PVlXVMjCpsDwlRFxA+PmpIUGtmymRSs7KaN1fNIc89V83O8tbaNCGqU2ioGm6s6uzG/v0hrJEvicTw1ZamBPzxg0v7V8ekLQ9P2BQNldGoAq9du1xvLhcUpGYzLlyo4+XAaQxNnUP0xy+RcsM92H39K9zPblcdhGXafe3Lzz97xk/sB08DkHHFcApadizzXFoaLFig7t9+u+f/HwYGqiDL11cFdVX58LbbVVbOZlNBvk6nMlcGg7rgkCyWEJ7n66tmyu/e7X7DUpMJbrzVzDsz/Xij4D4Gz36EnAt7ad6/pEVRYKB7r18eyXQJj/HzU8XC7hg2TO2/+0Qsy8PHYMpIIeLL2U73S06u3p4qQpujR8v+7rN/O6FrVCuQhHFTz9r+vffUCgOtW6urUU/Q61W2qn17ddzoaBXQV/VqWa9XH94+PioL5u+v7ptMEnAJUZ38/au+WkPfvhDZ1JcUIlnydzwBf/3o0v6eru2SoEt4VHi4Khh2VWAgXHMNgI4XgmbgAGI+egFdQeWrbVut1dtTRTh34kTZRqigslw6h4OM3sPIb9WpzHN//QUbNqhg5r77qh64mExqiLBjR9Vw1JNTz4UQtSskpGqrNhiNcNNoC3YfP95iIkGznndp/+xsdYHoKRJ0CY9r0sS9wvprr1VfmLtOxLEi7BZMaUlELHvf6X7SPqJ2nZnlshzcSej3nwGQcMeUMs8VFcFbb6n7gwap4YOqKOluHRvr+e7WQoi6ISpKZa7ddeWVENPcl3TC+OKvFgT8/ZNL+3sy2yVBl/A4nU7NPnG1MDooSE3zVdmuZ1S2a8Hz6AoLKt2voEC1kBA1LyPj7KvAkixX5uXXkN/2vDLPff65KrgPC4Nbb3X/dUsWYo+P92w3ayFE3dS4sftNhY1GuGmMyna9w90EzHrBpf0zMtT3jCfIx5WoFiaTCrxc7Us0fLiql9mR05jvQm7GnHKc8G/mOd1Psl01z+FQAdTpzMcPErbqU+DsWq7jxyltgnrnne63GfHxUTObwsPd218IUT/Fx6s6L3f07g2NzvEhi2AW/dkK351/u7S/p7JdEnSJahMQoNLCrggOLlnoWMcLIc/iAKIXvuZ0+kpOjiwNVNPS08+++ota9CY6u53si68ir90FpY87HGpYsbhYrUJw+eXuvWZ4uFp0Xeq2hGh4ShqoulMHajDAyNt9sFt8eY/x+H00y6X909PLLm/mLgm6RLWKi3O9V9F116l9/jvRhNU+g/E5vJugX1Y63U+yXTXH4Ti7h40+9wQRy+YAkHTzA2We+/lnVUBvMsHEie51Zo+NVUOKMpwoRMNlNru/VNhll0GjZkayCeK71QaMqdobcTkcnvmOkY8vUa30etfbSISEnKzt0ul5Iez5k9muV53ul5npmSsR4Vxa2tnLMIV/Mw9DbjYFzdqQ3b1f6eNWK8w7OUJ8/fXufWBGRnpueRAhRP0WGalqgF2l18OwWwJxGM18YL+d0EWuZbs80ZBbgi5R7YKCXK+/GT5cZbv+KWjFet0VBP22Bp+92yrdR5YGqhnlZbmw2Yj+9HUAkm66v0w66vvvVT1XcLDKYroqNNT9/m9CCO/UrJl7w4xXXgnBEUaOE8eviw45bUt0Oru96t8xEnSJGtG4sWtT+kNDYcAAcOiNvBGp1u+L+ux1p/ulppZdcFl4XkrK2RnF4J++wXJsP9agUNIHnpqWWFgIH3+s7t90k2qA64qgoKo3RxRCeB+zWX2vuLPfwBsDQW/gvbxRhH37sUv7JydX7TtGgi5RI4xG1xvcDR2qEia/FF7IDtoS/u1HGDNSKt3HZlOBl6gednv5s3iiF74GQOqw8WWWbvrmG1WAGhVVsrC5dv7+amkpd+q/hBDeLyLCvWHGQdcYMAVa2E579s770aVlTWw2deHpLgm6RI0JC3PtDRIdDZdeCg6TibfDpqAvKpSlgWpZSoqagXg6351/E/jXBhwGA8k3TCx9PCfnVIuIUaNc69vm46Map0rRvBCiMu4MMwYFwdWDfUCn44OEAQT9+r1L+yclub8epHykiRrVrJlrX6TXXgugY6ltCMlEErX4bXRFhZXuU1QkzVKrQ4VZrk9fAyDjyuspjj6V71+6VC0R1KQJXHGF9tfR61WGSzrMCyGccXeYcdiNPuDjywZ6kj7nS5f2tVrdH1GRoEvUKLNZTf3Xql07dSsy+THXfyKmtERCV3/udD9pH+F5yclnz9wxpiYQerIZ6ultIjIzYckSdX/0aNcCqEaNVKZLCCG0iIhwvWlqTAz0uFyFQJ9s7YDP/u0u7Z+Y6N6IigRdosZFRbk21DRsGICO+Za7KMCi2kc4+deem6uGt4Rn2GzlZ7miFr+D3lpMTqfu5HW4uPTxRYsgPx9atVJDxFoFBbneUFcIIdzKdo0OwmH2YRlDsc91vvLJ6YqL3ct2SdAlapxe71q2q3t39UWcpgvnC+ON+O36W9OCpdI+wnPKm7GjK8gn4kvV5ybp5klltv3mG3V/zBjthfAGgxp+FkIIVwUEuL42Y+vW0KmDHStGlqwOxJDpWhTlTrZLgi5RKyIitHeqNxphyBBAp+fdkMk4gCiNzVLPbOApXGezlT9cG7ZyIabMVApjm5HZa1jp4598ooYhO3WC88/X/jpNmqjhZyGEcEejRq7Pdh5yezgOo4lPbDfis2iBS/sWFalG0a6QoEvUCp3OtQ7jffuq9fb22FqwgZ6E/Pg1psTDle4jzVI9IympnL40DgdRi98GIOX6e0qLthISYM0atcltt2n/AAwNlQWshRBV4+Pj+ufIRRfraNbIRg4BrF6U4XITLlezXRJ0iVoTFqa9WWZAAPTrBw6Dah+hs9tL1/mrTFqaNEutCput/MDV77/f8dv1N3azhdRrbit9/Msv1T4XXKAmQGhhMknHeSGEZ8TFuTZDXq+HwaPDQKfj4+zB+G90vs7v6QoLISPDhddz6ehCeJgr6/ANGaLeID8Wd2cXrVXQZS2udJ+qNrJr6MrNcgGRJ2u5Mq68HltIBKCaoK5apZ4fMUL7azRrJu0hhBCeYTKpHo+u6NXHTECgniM0YfvczS6/5lnLolVCgi5Rq4KCIDBQ27YxMdCtG9gtPsz2mYQ5NYGQDV873U+apbrHai0/y2XIziDs+88ASBk+ofTxpUvVjJ527aBjR22vERKi1mQUQghPiY527ULOxwf6DlQdVhdtOxdzwiGXXq+gQHu2S4IuUetcyXaVNEv9wjiCTIJLMy6VKS5WWRjhmoqyXOErPkRfmE9ey47kdu4OqPYcK1ao50eM0FbLpdO5N81bCCEqYzC4NkMeoN/ICHQmEz9xGdnzXGuWCtpHVCToErXO31/7VN/27aFFCygwB/EZNxL02xosh/c43U+apbrGaq3gQ8ThKG0TkTp8Qml0tXw55OVB8+Zw8cXl7FeOyEjtM1iFEMIVrn6+xMRAt065AHz9rQFdcZFLr6e1dliCLlEnaJ3JqNPB4MHg0BuZG3g/dnRELHG+HmN+PmRnV/EkG5CKslwBf27A9+BObL7+pPUfBajU+tKl6vnrr9dWxOrOlagQQmil07n+GdN/XGPQ6/myYCCGlcur5bwk6BJ1gq+v9mxX795q1uMhXTw/04OIb+ahKyxwul95HdXF2Sqq5YJTBfTp/UdhD1Crl3//PWRlqTqKnj21vUZMjBTPCyGqV1iYa73/Ol9gpHlUPnn48dP8fdVyThJ0iTpD64wTHx+46iqwmy3M9bkHY1Y6oWu/cLrfiRNqCExULjFRLW59JmNaEiHr1YKKJQX0Vit8cfI//XXXaQukzGbXZxcJIYSrdDrXlhXT6WDgTepicuGhSzHv2+Hxc5KgS9QZAQHaFy0dOBBAxypDfxKIIfKLdzXtJ7VdlSsurrggNOLruWqdxY6XkN+mCwA//KCyYiEh0KePttdwp2u0EEK4IzJSlTNo1fPacAJ87RykObtmrfP4+UjQJeqUmBht2zVrppaZsVn8+Uh3KwH//ILvnn+c7peRoZZuEOVLSCg/y4XNVlo7V5Llstvh88/V08OGaSta9fNTKX8hhKgJer1r2S5fX+jbU5WrfPlTFLoCzw6PSNAl6pSQEO0zTgYOBIfewMf+EyjGqKmg3uGQbFdFioogtYL1XoM2rcKScAhrUCgZV90AwObNcPiwCqRU5tE5aREhhKhpUVGudanvM6EFOr2eDdZLyflshUfPRYIuUedorfe59FK1Zl+iIY5V9CX824/Q5+U43S81VZYGKk9CQsVNZCO/VMO3aYPG4PDxBU7Vcg0apIaGnQkJ0d4IVwghPMVodG1NxrjGerq1UlegKz7z7LR3CbpEnRMerq0g22g8uR6jycxc34kYck8QtnKh0/3sdlka6EyFhWqdyvKYEo8QvPFbAFKuvROA3bvhv/9UrcQ112h7DWkRIYSoLdHRrtWS9hun0vJLUy/DsWWrx86jWoOu9PR0Ro4cSVBQECEhIdxxxx3k5FSeiejVqxc6na7MbcKECZXuI7yLK2PwAwaAXq9jo74He2hJxLL3Ne2XlFRB7VIDdfx4xVmuiK/norPbOXFBLwqbtwFO9eXq2RMiIpwfPyhI++LmQgjhaRaLGhnRqvPlITQJPkEOAWye/bfHzqNag66RI0fy33//sXr1apYvX86PP/7I+PHjne43btw4EhISSm8vvPBCdZ6mqIMiI7WNwUdGQteu4LD4skB3G/7b/8B3p/M3SIUd1xug/PxKlkmy2Yj46gMAUoaNA9Tw7I8/qqfVskzOaZ0gIYQQ1cWVVjV6PQwaoK7Mv/wzHl1erkfOodqCrh07drBy5UrmzJlD165d6dGjB2+++SafffYZx48fr3RfPz8/YmJiSm9BQUHVdZqijnJlDL6koH6R72jy8JVsl4sqezsGbVqFOekI1uAwMnurCOvrr1VNXMeO0LKl8+P7+0stlxCi9vn5qay7VpePa4PFYGWnvRVHPvRM+4hqC7o2bdpESEgIF154YeljV111FXq9ns2bN1e67yeffEJERAQdOnRg8uTJ5FXS0bKwsJDs7OwyN+EdtI7Bn3++WkYoyxTBMoYS/t0n6POdX5UUF1c8W6+hyMuDzMyKny8JYNMG3IrD4kNBAXyryrsYNkzba0iWSwhRV7jyeRQQpOfqDmopkxVLPdNrqNqCrsTERKLOKMwxGo2EhYWRWMl6LDfffDMff/wx69evZ/LkyXz00UeMGjWqwu1nzpxJcHBw6a1JkyYe+xtE7bJYtC0NpNdD//6qoP4jyzgMudmErlms6TWSkiquZWoIKstyGVMTCPnpGwBSTw4trl4NOTmqKL5rV+fHd2V5JyGEqG6BgepzSas+E+IBWJV2Ifl/76zy67scdD322GNnFbqfedu50/0TGz9+PH379qVjx46MHDmSDz/8kKVLl7JvX/nrIE2ePJmsrKzS25EjR9x+bVH3REZq2+7qq8Fo1PG34UL+oz0RS9/TtF9RUcWz9rzdiRNqzcSKRHwzH53NRk6n7hS0aI/dfqqAfsgQbV2eZbkfIURdo/V7BSD+okg6hh2nGBMbZv1X5dd2ecnZhx56iDFjxlS6TYsWLYiJiSH5jFVzrVYr6enpxLiQ3+t68nJ67969nHPOOWc9b7FYsGjtpinqncBAtdZigZP1rENCoHt3+OkHPz7Ov4WZ/0zGZ99/FJxzrtPXSExU9WMNbWmao0credJuLx1aTLlWTX757TeVGfP317bkj9ks3eeFEHVPWBgcO6a9X+PAa/T8Ox+WbmlBn7wC9H4+br+2y5muyMhI2rZtW+nNbDbTrVs3MjMz+fPPP0v3XbduHXa7vTSQ0mLLli0AxEqTnwZL61XJgAGqoP4Ln1tcKqgvLKxk9p6XSkurfPHvwN/XYTl2AGtAMBlXXQ/AsmXquf79tbV/cLUvjhBC1ASDwbULwovu6EywIZfjtmi2f/BLlV672mq62rVrR79+/Rg3bhy//fYbGzduZOLEidx4443ExcUBcOzYMdq2bctvv/0GwL59+5gxYwZ//vknBw8e5Ouvv+bWW2/l8ssvp1OnTtV1qqKOCw/X1j6iUydVUJ9tCucbBhO+4kN0hU5SZCdV1o3d29jtlddywakC+vT+I3H4+LF/P2zZor0ZqtGorX+XEELUBleGGM2+Bgafp0qXln9dtS+Kau3T9cknn9C2bVuuvPJKBgwYQI8ePXjvvVO1NsXFxezatat0dqLZbGbNmjX06dOHtm3b8tBDDzF8+HC++eab6jxNUccZDNqa2un1qkO93WzhQ8s4jNkZhK77UtNrFBaqxbAbguTkyhf9NmakELJeFW+lDlUF9CW1XJdeqq1xratrnQkhRE3y9dW2fFmJK+5uiw4HGzPakfr7frdf1+WaLleEhYWxcGHFy7I0b94cx2nphSZNmrBhw4bqPCVRT0VGait4v/pqWLBAx5+GruygLY2Xvk96/5GaXiMhQQV33jwkZrWqGrbKhK34EL21mNz2F5HfpgsZGbB+vXpOS5sIV1YUEEKI2hIZqWZja9q2Uxw9ItfxU0pb1s7ay4iLWrj1mnItKuoFf39tdUShoaqg3u7jx0fcQuBfG7Ac2q3pNQoKvH8m4/HjTopHHQ4il6qhxZI2Ed9+q4K1tm2hXTvnrxEerm1moxBC1KbQUDCZtG8/YJiatPf1v80pynGvb5cEXaLe0DoG37+/Kqhf7Hsr+fgQsWyO5tc4ftx7u9QXFDhvBhvw90/4HNqFzdef9D43YrXCihXquaFDtb2OK7USQghRW3Q612pP242+mMbGRLLtAfw++0/nO5RDgi5Rb4SFacugdOmiug5nmyL4mmsI/2YeuqJCTa9RXKwapnqjo0edTxYo6W+W3vcm7P6B/PSTmtkZFgY9ejh/jYAA1xoPCiFEbYqI0F5SYrCYGHqh6rXz9bdGtyZfSdAl6g29Xts03zIF9eaxmDJTCdnwlebXSUxUwZc3cdYIFcCQmUbo2i8ASL32TgC+OvmfbeBANSPRGanlEkLUJ2YzBAdr3/7yiZ0xU8T2rEbs+9H1ZuwSdIl6RevQVZ8+YDDo+NOoCuojlszW/BpaWirUJw4HHD7sfLvwbz9CX1RIXpvzyGt3ATt3ws6dKtgaMMD5/iaTLPkjhKh/XCmJ8G3bjH4xWwD4fo4EXcLLaZ3mGxYGl1yiCuo/ZhRBv6/DcniP5tdJS4P8/CqcaB2SmOi8oz8OR2lgmnLtnaDTlWa5evfW1rIjMtK7Z34KIbxTUJBa61ergTcGArBmVxOyUl0rqJegS9Q7WgsfVUG90a2CeodDLRNR3xUUqFYYzgRs+RnfgztVAX3fm0hLg59+Us9paYbqakGqEELUJa5ku+JuvJzOph0U2w1seHe7S68jQZeod0JDtRXUn3++KqjPMkWeKqgv1n5VkpWlaqHqs8OHtXXaL8lypfe9CXtAUGmbiPbtoVUr5/uHhLg29VoIIeqSsDAXMvVGE0MvVWtLf7PGV/MajiBBl6iH3C6oz0gh5IdlLr1WpYtC13FpadqCxjML6IuLT7WJGDJE22tJAb0Qoj4zmVwrqL9w4iWEkkFibiB/fathOOEkCbpEvRQerm27qhTUg1oU2llvq7rIatUeMJ5ZQL9hA2RmquHCSy91vr+ry2kIIURdpPV7BYDm8Qxr/DsA332Yonk3CbpEveTvDz4+zrcLCzvVof5DbnW5oB5U8FLZWoV10ZEjKvBy6vQC+mHjcXCqgH7QIG1tIqQZqhDCGwQHu1Ym0XdUFDoc/H4wiqOHtPUZkqBL1Ftar0oGDFAF9V/43EIevi4V1INaNufQITdOsJZkZ6uGplqUKaDvdzM7dsCePap3Tf/+zvc3GFy8OhRCiDpKp3Pt88xv6NVcYdkIDjurZ2tbBFuCLlFvhYdrK3zs3Bni4iDbHMFXDHG5oB5UIFMfhhltNm09uUpELDmtA31AEMuWqcd79dJW3xAermrnhBDCG7h0EWk0MaR3NgCrf/HXtIt8XIp6y2RS/VWc0etV1sZutjDfNM6tgnqoH8OMhw5BobYVj04W0C8GIHXYeJKTYeNG9dywYdqOIW0ihBDexMfHtRrVVuOvoDkHyS3QMKUeCbpEPaf1quTqq8Fo1LHVdCH/0sHlgnqo+8OMycmQkaF9+zIF9O0v5Ouv1d/YpQvExzvf399f1lkUQngfV7Jd1qYtuCH+d83bS9Al6rWQEG3F3iEhaiZeVQrqoe4OM+bmutjewuEoXdw6Zdh4Cgp1fPedemroUG2HkCyXEMIbhYW5VjbRa3RzfNG2hIkEXaJe0+m0LVEDpwrql/jcTA7+RH45y63XrGvDjFYr7N+vrQlqicA/1uN7YAc2vwDS+93MmjUqcIuLg4svdr6/Xq/9v7sQQtQnrn6+2foNYHnbh7Ud281zEqLO0Jpx6dQJGjeGHHM4SxlG+Ndz0efnuvx6NhscPOhakFOdDh50PQiMXPQmAGkDb8Xqd6qAfsgQbVd4WlcFEEKI+silTL7RRM78JZo2laBL1Ht+ftpqi3S6UwX1Cyx3YjiRSdh3n7j1midOuDZLsLokJKjlilxhTjhEyI9fA5Byw0T+/FNl7/z8VO2bFjK0KITwZgEB2npBukqCLuEVXCmoN5l0/Gvswha6ELXoTbdTVqmpcPy4W7t6RHa2tsWszxT5xbvo7HayL76Sgvh2LF2qHu/XTwVezrg6u0cIIeqj6uhBKEGX8ApaFysNCoLLLlMF9fMM4/Ddt42Av350+3UTEmqnsD47G/btcz1e1BXklzaHTb7hXg4ehL/+UkOK11yj7RiS5RJCNARae0G6QoIu4RW09uyCk8GFTs9S8whSCVfZrio4fFitVVhTsrJg716w213fN2z1IoxZaRTGNCXrskGlS/506wYxMc73d7VjsxBC1FeufK9oJUGX8Bpag4G2baFNGyj0CeJjRhGyYRmmxCNuv67DAQcOQE6O24fQLDPTvQwXAA5HaQF9ynV3k51rYO1a9ZTWZqjBwdpadAghhDcIC/Ps8SToEl4jOFj7jLprrgGHwcQ833uw2nRut48oYberYChfW6sWt6Snu94a4nT+//6K/86/sFt8SB06lm+/VbMeW7aEc8/VdgwZWhRCNCQhIZV/r8yePY05c2ZoPp4EXcJruNJb5fLL1Zsp0diY7+hPxNL30BUWVOn1rVbYuVN1hve0tDSVTatKm4rIz98CIL3PTRT4h/O1msDI0KHa6hbMZs+n2oUQoi5z9r1iMBiYNWsqc+c+r+14HjovIeoEralgk0k1S7VbfJhjuQdTZiqhqz+v8uvb7XDkCOzZA8XFVT4cRUUqu3XwYNWOY0xNJHSNWmcxecRE1q1TmbOwMOjZU9sxqqOoVAgh6rrKSlfGjp3ChAnTee+9ZzUdS4Iu4VUCA1VGRouBA8Fg0PGboTvbOJeoz91vH3Gm7GzYvt39Anu7Xc2M/O8/19ZTrEjk0vfQW4vJ6dSd3Nbns1jFXwwbpgJQLaSAXgjREAUEgMVS8fNjx07BaNT2QSolscLrhIVBYqLz7cLDoUcP+HG9H3MKxvPa9vvx37aZ3I6XeOQ8rFZV5xUermqh/P21ZYoyMjy71JCuuIiIkzVryTdM5Ndf1fH9/VW2T4vAwMo/dISoz2w2G8WeSE0LrxUSYiIpqfzirjlzZmC1avv3I0GX8Drh4dqCLlDL3mzYYGCJ5Wam5k8jctGbHgu6SqSlqZvBoK6YgoLUzWKBggJ1y88v+9OTQtZ+iTk1geLwGDKuGM7iR9XjAweqwEsLyXIJb+RwOEhMTCSzJnu+iHpJDYKEADHAqavnOXNmMGvWVMaPf1zTEKMEXcLr+Piozup5ec63bddOzd7btzOIhfk3c8/q2Ry/51mKYpt5/LxsNtVjy9Vle6rE4SDmQ1XgmXLdXfy7y8yOHWpIcehQbYeQxa2FtyoJuKKiovDz80MnRYuiHA6Hg7y8PI4fTz45AhFb+pzNZmPChOmMGXO/BF2i4QoL0xZ06XQq2/XyXjMf+N3LhLxZRH/0EkceqVrD1LoiaON3+O3eis3Xn+QbJvL5S+rxq67SPukgNFTbIthC1Cc2m6004AqXVK5wwtfXF5sNjh1Lxm6PAtRQ4513TgPAas3WdBz5KBVeSeuyQKBm7wUFwTFTc1bRl4iv5mBMS6reE6whMfNnApB67Z3sTQ/j99/Vf5frrtN+DPk+Et6opIbLT8uCo0IAAQF+Jy9A3a//k6BLeCWTSRV/a2E2q4Jyh8nMrMD/oS8sIOqz16v3BGuA/5afCdzyM3aTmaSRD5bOWOzRAxo10nYMi0X7f0ch6iMZUhRa6fW6Kmf9JegSXsuV5RsGDQKjUcdvukv4gwuI+vxt9Dk1WXzlebHzVJYrbdBojjoasWGDevyGG7QfQ7JcQghxigRdQlTAlVqkiAi48kqwmy28GjAFQ242UYvfqd4TrEa+u7cSvPFbHHo9Sbc+wpIlqpC/Sxdo1Ur7cSToEkKIU/T6qq0/K0GX8Fp6vVrqR6sbblDp4zW6q/mP9kQtfBVdgYZq/DooZv5zAGRceT3JQS1ZuVI97kqWy5VGs0II0VAEB7u/rwRdwqu5kqlp1AguuwzsFl9e83scU0YKEV/Nrb6TqyaWI3sJXaOWNEoc8xhLl0JhIZxzDpx3nvbjSJZLiLppzJgx6HS6s279+vWrkdefNm0aXbp0qZHXqotcuZg/kwRdwqsFBmpf5gbgxhsBdHyjH8J+4on+6EXQ2Gm4roj+8EV0djtZ3ftzPKoLy5apx2++WfuMToNBenMJUZf169ePhISEMrdPP/20tk+rQfDxAV9f9/aVoEt4NZ3OtYL6+Hjo2hVsFn9e93kUS+JhwlYurL4T9DBTynHCl88HIPG2ySxapDrct24N3btrP4705hINjsMBubm1c3NjzVeLxUJMTEyZW2hoKD/88ANms5mffvqpdNsXXniBqKgokpJUK5yVK1fSo0cPQkJCCA8PZ9CgQezbt6/M8Y8ePcpNN91EWFgY/v7+XHjhhWzevJn58+fz1FNPsXXr1tIM2/z586v0n74+cnckQJqjCq8XFgZJLrTduvFG2LxZxxfGm3iE6cTMf470AbfUiygkauGr6IuLyOl8KfsbXcby5erxMWO0Z7lAhhZFA5SXp9bpqg05OdrX5HKiV69eTJo0iVtuuYWtW7eyf/9+pkyZwuLFi4mOjgYgNzeXBx98kE6dOpGTk8PUqVMZNmwYW7ZsQa/Xk5OTQ8+ePWnUqBFff/01MTEx/PXXX9jtdkaMGMG2bdtYuXIla9asASC4KkVO9VRYGBw75nq8LEGX8Hp+fiodrHVNw3bt1Cy/LX8H8HbRAzx78H+Efr+IjH43Vet5VpUp+RiRJ2dcJtw2mYUL1aLbnTq5VstlsdTed48QQpvly5cTcMYb9fHHH+fxxx/n6aefZvXq1YwfP55t27YxevRorrnmmtLthg8fXma/uXPnEhkZyfbt2+nQoQMLFy4kJSWF33//nbCTQwUtW7Ys3T4gIACj0UhMTEw1/oV1W0kvyGxtjehLSdAlGoTwcHVVotWNN8KWLXo+tozlgaLnafTWY2T2GorDx82B/BrQ6O3HMRTkkdOpO9ubDWC1atMlWS4htPDzUxmn2nptF/Xu3Zt33323zGMlAZLZbOaTTz6hU6dONGvWjFdffbXMdnv27GHq1Kls3ryZ1NRU7HY7AIcPH6ZDhw5s2bKF8847r/R4onzh4RJ0CVGuklSwVp07Q5s2sGtnELMCHmZK4mNEf/IKiXf8X/WdZBX4bf+D8BUfAnDkwVf56GMdNhtcfDG0b+/asSToEg2STuexIb6a4O/vXyb7dKZffvkFgPT0dNLT0/E/7W8bPHgwzZo14/333ycuLg673U6HDh0oUqs54+tulXgDExKiJh3ZbNr3qftFKkJ4gNns2nI2Oh3cdBOg0zPXchdZBBEzfyamlOPVdo5uczho/MoDAKT1H8k2v4tLu8+PHu3aoYKCpDeXEPXdvn37eOCBB3j//ffp2rUro0ePLs1mpaWlsWvXLp544gmuvPJK2rVrR0ZGRpn9O3XqxJYtW0hPTy/3+GazGZsrkYaXcrUXJEjQJRoQVzPlF18MzZtDji6Ql6NfwJCfS9w7dS/TFbJuiVpj0eLLsXtmsmCBevzyy1VvLldIlkuI+qGwsJDExMQyt9TUVGw2G6NGjaJv377cdtttzJs3j3/++YeXX34ZgNDQUMLDw3nvvffYu3cv69at48EHHyxz7JtuuomYmBiGDh3Kxo0b2b9/P19++SWbNm0CoHnz5hw4cIAtW7aQmppKYWFhjf/9dYWrn5kSdIkGw9U2CHq9qocCHXOsYzhIMyK+mY/fjj+r6QxdpysqpPEbjwCQeOv/+CejCZs3q3O/9VbXjmUwVK3pnxCi5qxcuZLY2Ngytx49evDMM89w6NAhZs+eDUBsbCzvvfceTzzxBFu3bkWv1/PZZ5/x559/0qFDBx544AFefPHFMsc2m818//33REVFMWDAADp27Mhzzz2HwWAAVCF+v3796N27N5GRkQ26P5irK3foHA43GoTUYdnZ2QQHB5OVlUVQUFBtn46oY/bvhzMy6ZVyOOD//g/++guutvzIwmM9OdGlB7vf/9G16vRqEv3hizR+4xGKIuPY9uVuHn7Sn3//hT594IyLV6ciI6Fp0+o5TyHqmoKCAg4cOEB8fDw+Pj61fTqiHqjo38zx43DkSDaXXOI89pBMl2hQXE0F63Rw550qC7Qm/1J+NF1B4JafCVn7RfWcoAuM6cnEfvA0AMfueZbVv6iAy2yGkSNdP54MLQohhOtcKV2RoEs0KEFBrq8Q36wZDBgADr2ByRFzsGKg8RuPoCvU2PirmsTNfhJDbja57S7gwKW38N576vGbb4aTPRA18/GpVxO3hBCizvDx0d71Q4Iu0aDodO6tKXjLLaph6O6iZnwYeA+W4weJ/uQVz5+gRr67txKxVEVZRx98lTlz9WRnq8L/665z/XgREZ49PyGEaEi0fq9I0CUaHHeG0YKCVOCFTs/zvk+RTSCx7z9VK0X1+twTtJg8Ap3dTsaV1/Gz7jJWr1YB5f33u57Jc3V9SiGEEGVpLSGXoEs0OP7+aqkbVw0cqArN0+3BPNPsPfTFRbR47HoM2S5U5leVw0HTmRPwObSLoujG7HnoXd5449T5tWvn+iGDgtSSFkIIIaqXBF2iQXIn22U0wvjxADo+zL+B7dE9sRw7QPOnbnN91VM3RSybQ/jKhTgMBvY/8xmfrIzg+HGVqVLtLdw4pgwtCiFEjZCgSzRI7s7Uu/BC1TTVatfzUPMlWI0WQjZ8RdQnrzrfuYp8d2+lyYv3AnDsnplsD72Uzz9Xz911l3uLVBuNEBzswZMUQghRIQm6RINkNmsfgz/T+PFq/z/2hTGj5xoAGr/5KP5bf/HgGZalzz1Bi8euR19USGaPgSTc/BBvvAFWK3TtCj16uHfcsLA60W5MCCEaBAm6RIPlbrZrxYpptGs3A4BZ/17KdxdN5WmblU/u7YcxI8WDZ3iSw0GzZ8bjc3gPRdFNODhtAYu/1PPff2qq8j33uB84ydCiEELUHAm6RINVskK8qwwGA2vXTiU2dgZ2u45Re/VMBcx5J2g+9RbXlpzXIPLztwn7/jMcBiP7Zy5iw7Zw5s1Tz40bB1FR7h3X3x98fT13nkIIISonQZdosPR691oljB07hQkTpvPvv1NJS7OQnjGNFo0e51FzAMGbVtHygUEYTmRW/QTtdmJnTaXpyTquo/c+x1a/bpQskzZ4sJqx6C7JcglRP40ZMwadTseECRPOeu6ee+5Bp9Mxxt2ZNaJaSdAlGjR3hxjHjp2CyWTG4SgCzGQXPsPkKzdjt/gS/MtK2o7uiuXgTrfPS5+fS4tHrydujhrGTLzlf2zv+yBTp0JhIVxwgVqeyF0Gg/TmEqI+a9KkCZ999hn5+fmljxUUFLBw4UKayiKqdZYEXaJB8/dXdVGumjNnBsXFRZhMZqCIvLwZfPh7e+Y98A9F0U3wObybdqO7EvTzCpePbUo8TJs7ehC6fgl2k5kD0+az784XmPaUjvR01Sts8mTXm6CeLixMZfqEEIrDAXl5tXNzp+PM+eefT5MmTViyZEnpY0uWLKFp06acd955pY/Z7XZmzpxJfHw8vr6+dO7cmS++OLV2rM1m44477ih9vk2bNrz++utlXmvMmDEMHTqUl156idjYWMLDw7nnnnsoLi52/cQbuCp8bFfumWeeYcWKFWzZsgWz2UxmZqbTfRwOB08++STvv/8+mZmZXHrppbz77ru0atWquk5TCCIi4OhR7dvPmTODWbOmMmHCdMaOnVL6O8DTn00hZMbf9HlnKIFbfqblA4M5ds+zJI1+VFO1u//WXzjnf8MwpSdTHBbFvheXcqJjd158BvbuVTMun3rKvfYQp5OhRSHKys+Hli1r57X37tW+dt/pbr/9dubNm8fIkyvcz507l9tuu40ffvihdJuZM2fy8ccfM2vWLFq1asWPP/7IqFGjiIyMpGfPntjtdho3bszixYsJDw/nl19+Yfz48cTGxnLDDTeUHmf9+vXExsayfv169u7dy4gRI+jSpQvjxo2r6p/foFTbtW5RURHXX389d911l+Z9XnjhBd544w1mzZrF5s2b8ff3p2/fvhQU1O7CwsK7udo2wWazlQZcoIYax42bTni4jZwcuP+pcOaOWkfKsPHoHA4avzWZdjd3odGbjxH4+zp0RYWnDuZw4LP3X6IXvEDrO3vTZvzlmNKTyWvdmR0f/k7Wud2ZNQs2blSZralTITa2an+vv797H/BCiLpl1KhR/Pzzzxw6dIhDhw6xceNGRo0aVfp8YWEhzz77LHPnzqVv3760aNGCMWPGMGrUKGbPng2AyWTiqaee4sILLyQ+Pp6RI0dy22238XlJE8CTQkNDeeutt2jbti2DBg1i4MCBrF27tkb/Xm9QbZmup556CoD58+dr2t7hcPDaa6/xxBNPMGTIEAA+/PBDoqOjWbZsGTfeeGN1napo4EwmlUHKytK2/Z13TivnsSmMHAnPPgt//QVPP2fi0C2zue/R82j68n347fkHvz3/ELPgeewWX05c0JPi8FiCfluNOalsmi39qus5NHUux7MDeP5/sGOHenzSJOjQoWp/K0iWS4jy+PqqjFNtvbY7IiMjGThwIPPnz8fhcDBw4EAiTnuD7927l7y8PK6++uoy+xUVFZUZgnz77beZO3cuhw8fJj8/n6KiIrp06VJmn3PPPRfDadO9Y2Nj+ffff9078Qas2oIuVx04cIDExESuuuqq0seCg4Pp2rUrmzZtqjDoKiwspLDwVOYgOzu72s9VeJ+ICO1BV0UCAmD6dJgzB5Ytg48+gkOXT+CRpdcStWU1Qb9+T+Dm1ZhTEwj+ZWXpfnaLLycu7E1W9/5kXdqfosbnsH49vPmmqvfw94f77oOePat2fiAF9EJURKernxng22+/nYkTJwIqeDpdTk4OACtWrKBRo0ZlnrOcXID2s88+4+GHH+bll1+mW7duBAYG8uKLL7J58+Yy25vOWKBVp9Nht9s9+rc0BHUm6EpMTAQgOjq6zOPR0dGlz5Vn5syZpVk1IdwVHKyG76zWqh3HaIQJE6B5c3jrLfjxRzh+PIpHHx1Jk/4j1XDivv8I+vV7jJkp5FzQixPnXY7DR13q5uXBOy/BGtXonvbt4dFH4Yy3hdukgF4I79KvXz+KiorQ6XT07du3zHPt27fHYrFw+PBhelZw1bZx40a6d+/O3XffXfrYvn37qvWcGzKXgq7HHnuM559/vtJtduzYQdu2bat0Uq6YPHkyDz74YOnv2dnZNGnSpMZeX3gHnU61j0hK8szx+vWDRo1gxgw1ZDFunJp12K2bjm7dOtD65g7o9WrW0rFjsHMn7NoFmzdDcrIKjG6+GW68sWqzFM8kQ4tCeBeDwcCOkzUIhjO6PQcGBvLwww/zwAMPYLfb6dGjB1lZWWzcuJGgoCBGjx5Nq1at+PDDD1m1ahXx8fF89NFH/P7778THx9fGn+P1XPo4f+ihh5w2XGvRooVbJxITEwNAUlISsadVCiclJZ01tnw6i8VSmiYVoio8GXQBdOwIb7wBb7+t6rwOH1a3RYtUxqlpUxWQnRwBKBUVBY884pn6rdNJAb0Q3imokoVkZ8yYQWRkJDNnzmT//v2EhIRw/vnn8/jjjwNw55138vfffzNixAh0Oh033XQTd999N999911NnX6DonM43OkQot38+fOZNGmS05YRDoeDuLg4Hn74YR566CFAZa2ioqKYP3++5kL67OxsgoODycrKqvQfohDl2bXr7CDIE3Jy4PffYdMm+OMPNYxYwmyGc86Btm3V7aKLqic4atZMMl1ClCgoKODAgQPEx8fj406zPtHgVPZvRmvsUW01XYcPHyY9PZ3Dhw9js9nYsmULAC1btiTgZJOhtm3bMnPmTIYNG4ZOp2PSpEk8/fTTtGrVivj4eKZMmUJcXBxDhw6trtMUooyoqOoJugICoHdvdSsuhq1bISVF9QWKj/fsEGJ5pIBeCCFqX7V91E+dOpUFCxaU/l4yPXX9+vX06tULgF27dpF12pSxRx55hNzcXMaPH09mZiY9evRg5cqVchUiakxIiGohUZ2Nlk0muPDC6jt+eaSAXgghal+1Dy/WNBleFFWVkADHj9f2WXhWhw4gpY9CnCLDi8JVnhhelGtfIc4QEeFah/q6LiREAi4hhKgLJOgS4gwmE4SG1vZZeE5UVG2fgRBCCJCgS4hyRUbW9hl4hp8fBAbW9lkIIYQACbqEKFdAgHf0tPJUJ3shhBBVJ0GXEBWo79kus9m7hkmFEKK+k6BLiAqEhVV//6zqFBnpXRMChBCivqvHXylCVC+93vNLA9UUvb7+Z+qEqA1//lmzr3fBBTX7elWh0+lYunSpNCyvAsl0CVGJ+hq4RESoLvRCCO8yc+ZMLrroIgIDA4mKimLo0KHs2rXL7eNNmzat0vWNhWdJ0CVEJSwW1eeqvpE2EUJ4pw0bNnDPPffw66+/snr1aoqLi+nTpw+5ubm1fWpCAwm6hHAiNra2z8A1oaHSDFUIb7Vy5UrGjBnDueeeS+fOnZk/fz6HDx/mz0rGRX/44Qcuvvhi/P39CQkJ4dJLL+XQoUPMnz+fp556iq1bt6LT6dDpdMyfPx+APXv2cPnll+Pj40P79u1ZvXp1Df2F3k1quoRwws8PgoPhtGVC6zRpEyFEw1GyfnFYBSvaW61Whg4dyrhx4/j0008pKirit99+Q6fTMWLECLZt28bKlStZs2YNAMHBwdjtdq699lqio6PZvHkzWVlZTJo0qab+JK8mQZcQGsTF1Y+gKzgY/P1r+yyEEDXBbrczadIkLr30Ujp06FDuNtnZ2WRlZTFo0CDOOeccANq1a1f6fEBAAEajkZiYmNLHvv/+e3bu3MmqVauIi4sD4Nlnn6V///7V+Nc0DDK8KIQGfn71o7arUaPaPgMhRE2555572LZtG5999lmF24SFhTFmzBj69u3L4MGDef3110lISKj0uDt27KBJkyalARdAt27dPHbeDZkEXUJoVNdru8LCwNe3ts9CCFETJk6cyPLly1m/fj2NGzeudNt58+axadMmunfvzqJFi2jdujW//vprDZ2pOJ0EXUJoVJezXTqdZLmEaAgcDgcTJ05k6dKlrFu3jvj4eE37nXfeeUyePJlffvmFDh06sHDhQgDMZjM2m63Mtu3atePIkSNlMmISpHmGBF1CuKCuZrsiI9WyP0II73bPPffw8ccfs3DhQgIDA0lMTCQxMZH8/Pxytz9w4ACTJ09m06ZNHDp0iO+//549e/aU1nU1b96cAwcOsGXLFlJTUyksLOSqq66idevWjB49mq1bt/LTTz/xf//3fzX5Z3otKaQXwgUl2a7MzNo+k1MMhrobDApR39T1DvHvvvsuAL169Srz+Lx58xgzZsxZ2/v5+bFz504WLFhAWloasbGx3HPPPdx5550ADB8+nCVLltC7d28yMzNLj7N06VLuuOMOLr74Ypo3b84bb7xBv379qvvP83oSdAnhori4uhV0RUfX7zUihRDaORwOl7aPjo5m6dKlFT5vsVj44osvznq8devW/PTTT1V6bXE2GV4UwkW+vnWntstolL5cQghRX0jQJYQb4uJU8Xpti41Vi1sLIYSo++TjWgg3+PrWfh2VxVJ/F+QWQoiGSIIuIdwUE1O7fbGaNq0b2TYhhBDaSNAlhJt0OmjevHYCn+hoCAqq+dcVQgjhPgm6hKgCPz+V8arp15RGqEIIUf9I0CVEFcXG1twwo14P8fEyrCiEEPWRBF1CVFFNDjM2bgw+PtX/OkIIITxPgi4hPKAmhhlDQmS2ohBC1GcSdAnhIbGxKviqDiYTNGtWPccWQjRszZs357XXXtO8/Q8//IBOpyOzFpbmmD9/PiF1pTu1GyToEsJDdDpo1Qr8/T1/3Ph4WepHiIZOp9NVeps2bZpbx/39998ZP3685u27d+9OQkICwcHBbr1eTXM1qKxO8jEuhAcZjSrw2rsXcnI8c7xzzoGAgKofSwjhWdOmTcNgMDBlypTSx2bMmIHNZnM7AKpMQkJC6f1FixYxdepUdu3aVfpYwGkfFA6HA5vNhlHD1Vqki3ULZrOZmJqetu0lJNMlhIcZDCrwqmofLR8faNtWAi4h6iqDwcDUqVOZMWMGoAKuqVOnYjAYquX1YmJiSm/BwcHodLrS33fu3ElgYCDfffcdF1xwARaLhZ9//pl9+/YxZMgQoqOjCQgI4KKLLmLNmjVljntmJkin0zFnzhyGDRuGn58frVq14uuvvy59/szhxZIhv1WrVtGuXTsCAgLo169fmSDRarVy3333ERISQnh4OI8++iijR49m6NChlf7N8+fPp2nTpvj5+TFs2DDS0tLKPO/s7+vVqxeHDh3igQceKM0IAqSlpXHTTTfRqFEj/Pz86NixI59++qkr/zvcIkGXENVAr4eWLd1fGDswENq0UUv9CCHqpilTpjB9+nSmTp2KxWJh6tSpTJ8+vUzmq6Y99thjPPfcc+zYsYNOnTqRk5PDgAEDWLt2LX///Tf9+vVj8ODBHD58uNLjPPXUU9xwww38888/DBgwgJEjR5Kenl7h9nl5ebz00kt89NFH/Pjjjxw+fJiHH3649Pnnn3+eTz75hHnz5rFx40ays7NZtmxZpeewefNm7rjjDiZOnMiWLVvo3bs3Tz/9dJltnP19S5YsoXHjxkyfPp2EhITSQLCgoIALLriAFStWsG3bNsaPH88tt9zCb7/9Vuk5VZnDy2RlZTkAR1ZWVm2fihAOu93hOHDA4fjjD+23AwfUfkKI6pOfn+/Yvn27Iz8/v8rHMpvNDsBhNps9cGbazJs3zxEcHFz6+/r16x2AY9myZU73Pffccx1vvvlm6e/NmjVzvPrqq6W/A44nnnii9PecnBwH4Pjuu+/KvFZGRkbpuQCOvXv3lu7z9ttvO6Kjo0t/j46Odrz44oulv1utVkfTpk0dQ4YMqfA8b7rpJseAAQPKPDZixIgyf7c7f19FBg4c6HjooYcqfL6yfzNaYw/JdAlRjUp6eHXoAHFxFTdRNZkgLEwVzNfW0kJCCNfNmDGDoqIizGYzRUVFpUONteXCCy8s83tOTg4PP/ww7dq1IyQkhICAAHbs2OE009WpU6fS+/7+/gQFBZGcnFzh9n5+fpxzzjmlv8fGxpZun5WVRVJSEhdffHHp8waDgQsuuKDSc9ixYwddu3Yt81i3bt088vfZbDZmzJhBx44dCQsLIyAggFWr/r+9u4+pqg7jAP69F7gXX7iAI14VFUGEIpUMBIc0YwMzRmWzoEycU/9AXa02deFwZkFFCDNWi3L2HymLxsrUTF3ympVtFGoikBkvZhRQKsi9T384mFcBPYfuOVf4frY7d3/8DnvO1yM+nPO75xy643ajxYX0RBowm2/cUiIgALh6FejsBK5du3EZ0cND3wdnE5E6A2u4Bi4pDrwHoNslxkm3fHz6lVdewVdffYX8/HyEhoZiwoQJePrpp9HX1zfi93Fzc7N7bzAYYLPZFM0XEYXVK6d2/95++20UFRWhsLAQUVFRmDRpEl588cU7bjdabLqINDZhAp+dSDQWWK1WuzVcA39arVY9y7JTVVWFzMxMPPnkkwBunBlqaWnRtAZPT0/4+fnh5MmTWLx4MYAbGf3www+YN2/esNtFRESgrq7Obqy2ttbu/d3sn8lkuu3vpKqqCmlpaXj++ecBADabDb/88gsiIyPV7OJdY9NFRESkwlC3hdBzEf1QwsLC8OmnnyI1NRUGgwHbtm0b8YyVo2zcuBG5ubkIDQ3FnDlzsHv3bvz111+DnyYcyqZNm7Bo0SLk5+cjLS0Nhw4dwsGDB+3m3M3+zZgxA9988w2effZZmM1m+Pj4ICwsDGVlZaiuroa3tzcKCgrQ0dHh8KaLa7qIiIjGqIKCAnh7eyM+Ph6pqalITk5GdHS05nVs3rwZ6enpeOGFFxAXF4fJkycjOTkZ7iM8THbhwoUoKSlBUVER5s6di8OHDyM7O9tuzt3s344dO9DS0oJZs2YN3pMsOzsb0dHRSE5OxiOPPAJ/f/873r7i/2AQLS66aqi7uxuenp7o6uqCZbQ3SiIiojHp2rVraG5uxsyZM0f8j58cw2azISIiAitWrND9wwd3a6Rj5m57D15eJCIiIof69ddfcfjwYSQmJqK3txfvvvsumpubkZGRoXdpmuLlRSIiInIoo9GIvXv34uGHH8aiRYtQX1+PI0eOICIiQu/SNMUzXURERORQ06ZNQ1VVld5l6I5nuoiIiIg0wKaLiIjGLT1un0D3pv/jWOHlRSIiGndMJhOMRiNaW1tx3333wWQyjXjPKBq/RAR9fX34448/YDQaYTKZVH8vNl1ERDTuGI1GzJw5E21tbWhtbdW7HLoHTJw4EcHBwTAa1V8kZNNFRETjkslkQnBwMPr7+53q0T3kfFxcXODq6jrqs6FsuoiIaNwyGAxwc3O77YHNRI7AhfREREREGmDTRURERKQBNl1EREREGhhza7oGnt/d3d2tcyVEREQ0Hgz0HAM9yHDGXNPV09MD4MYjB4iIiIi00tPTA09Pz2G/bpA7tWX3GJvNhtbWVnh4eDjdje66u7sxbdo0/Pbbb7BYLHqXc89gbsoxM3WYm3LMTB3mppwzZyYi6OnpQWBg4Ij38RpzZ7qMRiOmTp2qdxkjslgsTnfA3AuYm3LMTB3mphwzU4e5KeesmY10hmsAF9ITERERaYBNFxEREZEG2HRpyGw2IycnB2azWe9S7inMTTlmpg5zU46ZqcPclBsLmY25hfREREREzohnuoiIiIg0wKaLiIiISANsuoiIiIg0wKaLiIiISANsuoiIiIg0wKbLwTo7O/Hcc8/BYrHAy8sLa9aswT///HPH7WpqarBkyRJMmjQJFosFixcvxtWrVzWoWH9qMwNuPIph6dKlMBgM+OyzzxxbqJNRmltnZyc2btyI8PBwTJgwAcHBwdi0aRO6uro0rFp7xcXFmDFjBtzd3REbG4tvv/12xPn79+/HnDlz4O7ujqioKBw4cECjSp2HksxKSkqQkJAAb29veHt7Iykp6Y4Zj1VKj7UBpaWlMBgMeOKJJxxboBNSmtnff/+NrKwsBAQEwGw2Y/bs2c79b1TIoVJSUmTu3LlSW1srJ06ckNDQUElPTx9xm+rqarFYLJKbmys//fSTnDlzRj755BO5du2aRlXrS01mAwoKCmTp0qUCQMrLyx1bqJNRmlt9fb089dRTUlFRIY2NjfL1119LWFiYLF++XMOqtVVaWiomk0n27NkjP//8s6xdu1a8vLyko6NjyPlVVVXi4uIib731ljQ0NEh2dra4ublJfX29xpXrR2lmGRkZUlxcLKdOnZLTp09LZmameHp6ysWLFzWuXF9KcxvQ3NwsQUFBkpCQIGlpadoU6ySUZtbb2ysLFiyQxx57TCorK6W5uVmOHz8uP/74o8aV3z02XQ7U0NAgAOTkyZODY19++aUYDAb5/fffh90uNjZWsrOztSjR6ajNTETk1KlTEhQUJG1tbeOu6RpNbjfbt2+fmEwmuX79uiPK1F1MTIxkZWUNvrdarRIYGCi5ublDzl+xYoUsW7bMbiw2NlbWr1/v0DqdidLMbtXf3y8eHh7y8ccfO6pEp6Qmt/7+fomPj5cPP/xQVq1aNe6aLqWZvffeexISEiJ9fX1alThqvLzoQDU1NfDy8sKCBQsGx5KSkmA0GlFXVzfkNpcuXUJdXR18fX0RHx8PPz8/JCYmorKyUquydaUmMwC4cuUKMjIyUFxcDH9/fy1KdSpqc7tVV1cXLBYLXF1dHVGmrvr6+vD9998jKSlpcMxoNCIpKQk1NTVDblNTU2M3HwCSk5OHnT/WqMnsVleuXMH169cxZcoUR5XpdNTmtmPHDvj6+mLNmjValOlU1GRWUVGBuLg4ZGVlwc/PDw888ADeeOMNWK1WrcpWjE2XA7W3t8PX19duzNXVFVOmTEF7e/uQ2zQ1NQEAtm/fjrVr1+LgwYOIjo7Go48+inPnzjm8Zr2pyQwAXnrpJcTHxyMtLc3RJToltbnd7PLly3jttdewbt06R5Sou8uXL8NqtcLPz89u3M/Pb9iM2tvbFc0fa9RkdqvNmzcjMDDwtuZ1LFOTW2VlJT766COUlJRoUaLTUZNZU1MTysrKYLVaceDAAWzbtg3vvPMOdu7cqUXJqrDpUmHLli0wGAwjvs6cOaPqe9tsNgDA+vXrsXr1asyfPx+7du1CeHg49uzZ83/uhqYcmVlFRQWOHj2KwsLC/7doJ+DI3G7W3d2NZcuWITIyEtu3bx994UQA8vLyUFpaivLycri7u+tdjtPq6enBypUrUVJSAh8fH73LuWfYbDb4+vrigw8+wEMPPYRnnnkGr776Kt5//329SxvW2LuGoIGXX34ZmZmZI84JCQmBv78/Ll26ZDfe39+Pzs7OYS+BBQQEAAAiIyPtxiMiInDhwgX1RevMkZkdPXoU58+fh5eXl9348uXLkZCQgOPHj4+icn05MrcBPT09SElJgYeHB8rLy+Hm5jbasp2Sj48PXFxc0NHRYTfe0dExbEb+/v6K5o81ajIbkJ+fj7y8PBw5cgQPPvigI8t0OkpzO3/+PFpaWpCamjo4NvALuKurK86ePYtZs2Y5tmidqTnWAgIC4ObmBhcXl8GxiIgItLe3o6+vDyaTyaE1q6L3orKxbGBx83fffTc4dujQoREXN9tsNgkMDLxtIf28efNk69atDq3XGajJrK2tTerr6+1eAKSoqEiampq0Kl1XanITEenq6pKFCxdKYmKi/Pvvv1qUqquYmBjZsGHD4Hur1SpBQUEjLqR//PHH7cbi4uLG3UJ6JZmJiLz55ptisVikpqZGixKdkpLcrl69etvPsLS0NFmyZInU19dLb2+vlqXrRumxtnXrVpk+fbpYrdbBscLCQgkICHB4rWqx6XKwlJQUmT9/vtTV1UllZaWEhYXZfYz/4sWLEh4eLnV1dYNju3btEovFIvv375dz585Jdna2uLu7S2Njox67oDk1md0K4+zTiyLKc+vq6pLY2FiJioqSxsZGaWtrG3z19/frtRsOVVpaKmazWfbu3SsNDQ2ybt068fLykvb2dhERWblypWzZsmVwflVVlbi6ukp+fr6cPn1acnJyxuUtI5RklpeXJyaTScrKyuyOqZ6eHr12QRdKc7vVePz0otLMLly4IB4eHrJhwwY5e/asfP755+Lr6ys7d+7UaxfuiE2Xg/3555+Snp4ukydPFovFIqtXr7b74dPc3CwA5NixY3bb5ebmytSpU2XixIkSFxcnJ06c0Lhy/ajN7GbjselSmtuxY8cEwJCv5uZmfXZCA7t375bg4GAxmUwSExMjtbW1g19LTEyUVatW2c3ft2+fzJ49W0wmk9x///3yxRdfaFyx/pRkNn369CGPqZycHO0L15nSY+1m47HpElGeWXV1tcTGxorZbJaQkBB5/fXXnfqXRoOIiLYXNImIiIjGH356kYiIiEgDbLqIiIiINMCmi4iIiEgDbLqIiIiINMCmi4iIiEgDbLqIiIiINMCmi4iIiEgDbLqIiIiINMCmi4iIiEgDbLqIiIiINMCmi4iIiEgD/wHQDH2DFx+BoAAAAABJRU5ErkJggg==\n" | |
| }, | |
| "metadata": {} | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 700x500 with 1 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "## Data variations\n", | |
| "\n", | |
| "What if we provide less data (still equally spaced)\n", | |
| "\n" | |
| ], | |
| "metadata": { | |
| "id": "2rGWd2VA6BHo" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "N_tr_u = 4\n", | |
| "N_tr_f = 10\n", | |
| "\n", | |
| "data = {}\n", | |
| "data['x_u'] = torch.linspace(lb,ub,N_tr_u).view(-1,1)\n", | |
| "data['y_u'] = u(data['x_u']) + torch.randn_like(data['x_u'])*like_std\n", | |
| "data['x_f'] = torch.linspace(lb,ub,N_tr_f).view(-1,1)\n", | |
| "data['y_f'] = f(data['x_f']) + torch.randn_like(data['x_f'])*like_std\n", | |
| "\n", | |
| "net_u = Net(layer_sizes, activation).to(device)\n", | |
| "nets = [net_u]\n", | |
| "\n", | |
| "params_hmc = util.sample_model_bpinns(nets, data, model_loss=model_loss, num_samples=num_samples, num_steps_per_sample=L, step_size=step_size, burn=burn, tau_priors=tau_priors, tau_likes=tau_likes, device=device, n_params_single=n_params_single, pde=pde, pinns=pinns, epochs=epochs)\n", | |
| "\n", | |
| "pred_list, log_prob_list = util.predict_model_bpinns(nets, params_hmc, data_val, model_loss=model_loss, tau_priors=tau_priors, tau_likes=tau_likes, n_params_single = n_params_single, pde = pde)\n", | |
| "\n", | |
| "print('\\nExpected validation log probability: {:.3f}'.format(torch.stack(log_prob_list).mean()))\n", | |
| "\n", | |
| "print('\\nThe exact values of single parameters: {}'.format(exact_single))\n", | |
| "params_single = torch.stack(params_hmc)[:,:n_params_single].cpu().numpy()\n", | |
| "print('The means of single parameters: {}'.format(np.exp(params_single).mean(0)))\n", | |
| "print('The variances of single parameters: {}'.format(np.exp(params_single).std(0)))\n", | |
| "\n", | |
| "pred_list_u = pred_list[0].cpu().numpy()\n", | |
| "pred_list_f = pred_list[1].cpu().numpy()" | |
| ], | |
| "metadata": { | |
| "id": "JLn5E4bzlkkz", | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "outputId": "ef27909c-db88-404f-fced-64fb78522f1d" | |
| }, | |
| "execution_count": 11, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "Sampling (Sampler.HMC; Integrator.IMPLICIT)\n", | |
| "Time spent | Time remain.| Progress | Samples | Samples/sec\n", | |
| "\n", | |
| "Acceptance Rate 0.99\n", | |
| "\n", | |
| "Expected validation log probability: -7369.465\n", | |
| "\n", | |
| "The exact values of single parameters: [0.7]\n", | |
| "The means of single parameters: [0.26222083]\n", | |
| "The variances of single parameters: [0.09224328]\n" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "# plot\n", | |
| "\n", | |
| "x_val = data_val['x_u'].cpu().numpy()\n", | |
| "u_val = data_val['y_u'].cpu().numpy()\n", | |
| "f_val = data_val['y_f'].cpu().numpy()\n", | |
| "x_u = data['x_u'].cpu().numpy()\n", | |
| "y_u = data['y_u'].cpu().numpy()\n", | |
| "x_f = data['x_f'].cpu().numpy()\n", | |
| "y_f = data['y_f'].cpu().numpy()\n", | |
| "\n", | |
| "plt.figure(figsize=(7,5))\n", | |
| "plt.plot(x_val,u_val,'r-',label='Exact')\n", | |
| "# plt.plot(x_val,pred_list_u.squeeze(2).T, 'b-',alpha=0.01)\n", | |
| "plt.plot(x_val,pred_list_u.mean(0).squeeze().T, 'b-',alpha=0.9,label ='Mean')\n", | |
| "plt.fill_between(x_val.reshape(-1), pred_list_u.mean(0).squeeze().T - 2*pred_list_u.std(0).squeeze().T, pred_list_u.mean(0).squeeze().T + 2*pred_list_u.std(0).squeeze().T, facecolor='b', alpha=0.2, label = '2 std')\n", | |
| "plt.plot(x_u,y_u,'kx',markersize=5, label='Training data')\n", | |
| "plt.xlim([lb,ub])\n", | |
| "plt.legend(fontsize=10)\n", | |
| "plt.show()\n", | |
| "\n", | |
| "plt.figure(figsize=(7,5))\n", | |
| "plt.plot(x_val,f_val,'r-',label='Exact')\n", | |
| "# plt.plot(x_val,pred_list_f.squeeze(2).T, 'b-',alpha=0.01)\n", | |
| "plt.plot(x_val,pred_list_f.mean(0).squeeze().T, 'b-',alpha=0.9,label ='Mean')\n", | |
| "plt.fill_between(x_val.reshape(-1), pred_list_f.mean(0).squeeze().T - 2*pred_list_f.std(0).squeeze().T, pred_list_f.mean(0).squeeze().T + 2*pred_list_f.std(0).squeeze().T, facecolor='b', alpha=0.2, label = '2 std')\n", | |
| "plt.plot(x_f,y_f,'kx',markersize=5, label='Training data')\n", | |
| "plt.xlim([lb,ub])\n", | |
| "plt.legend(fontsize=10)\n", | |
| "plt.show()" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/", | |
| "height": 873 | |
| }, | |
| "id": "7ok2ZGuD-Fh1", | |
| "outputId": "e72f6c22-8224-42f4-c671-fa9ed3d70551" | |
| }, | |
| "execution_count": 12, | |
| "outputs": [ | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 700x500 with 1 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 700x500 with 1 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "### Periodicity (predictions)\n", | |
| "\n", | |
| "Can it learn the pattern given by the periodicity of $f(x)$" | |
| ], | |
| "metadata": { | |
| "id": "2HFNDApn-bVa" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "N_tr_u = 8\n", | |
| "N_tr_f = 16\n", | |
| "\n", | |
| "ub_f = 0 # consider sensors until a certain point (first half)\n", | |
| "\n", | |
| "data = {}\n", | |
| "data['x_u'] = torch.linspace(lb,ub,N_tr_u).view(-1,1)\n", | |
| "data['y_u'] = u(data['x_u']) + torch.randn_like(data['x_u'])*like_std\n", | |
| "data['x_f'] = torch.linspace(lb,ub_f,N_tr_f).view(-1,1) # change here in upper bound\n", | |
| "data['y_f'] = f(data['x_f']) + torch.randn_like(data['x_f'])*like_std\n", | |
| "\n", | |
| "net_u = Net(layer_sizes, activation).to(device)\n", | |
| "nets = [net_u]\n", | |
| "\n", | |
| "params_hmc = util.sample_model_bpinns(nets, data, model_loss=model_loss, num_samples=num_samples, num_steps_per_sample=L, step_size=step_size, burn=burn, tau_priors=tau_priors, tau_likes=tau_likes, device=device, n_params_single=n_params_single, pde=pde, pinns=pinns, epochs=epochs)\n", | |
| "\n", | |
| "pred_list, log_prob_list = util.predict_model_bpinns(nets, params_hmc, data_val, model_loss=model_loss, tau_priors=tau_priors, tau_likes=tau_likes, n_params_single = n_params_single, pde = pde)\n", | |
| "\n", | |
| "print('\\nExpected validation log probability: {:.3f}'.format(torch.stack(log_prob_list).mean()))\n", | |
| "\n", | |
| "print('\\nThe exact values of single parameters: {}'.format(exact_single))\n", | |
| "params_single = torch.stack(params_hmc)[:,:n_params_single].cpu().numpy()\n", | |
| "print('The means of single parameters: {}'.format(np.exp(params_single).mean(0)))\n", | |
| "print('The variances of single parameters: {}'.format(np.exp(params_single).std(0)))\n", | |
| "\n", | |
| "pred_list_u = pred_list[0].cpu().numpy()\n", | |
| "pred_list_f = pred_list[1].cpu().numpy()\n", | |
| "\n", | |
| "# plot\n", | |
| "\n", | |
| "x_val = data_val['x_u'].cpu().numpy()\n", | |
| "u_val = data_val['y_u'].cpu().numpy()\n", | |
| "f_val = data_val['y_f'].cpu().numpy()\n", | |
| "x_u = data['x_u'].cpu().numpy()\n", | |
| "y_u = data['y_u'].cpu().numpy()\n", | |
| "x_f = data['x_f'].cpu().numpy()\n", | |
| "y_f = data['y_f'].cpu().numpy()\n", | |
| "\n", | |
| "plt.figure(figsize=(7,5))\n", | |
| "plt.plot(x_val,u_val,'r-',label='Exact')\n", | |
| "# plt.plot(x_val,pred_list_u.squeeze(2).T, 'b-',alpha=0.01)\n", | |
| "plt.plot(x_val,pred_list_u.mean(0).squeeze().T, 'b-',alpha=0.9,label ='Mean')\n", | |
| "plt.fill_between(x_val.reshape(-1), pred_list_u.mean(0).squeeze().T - 2*pred_list_u.std(0).squeeze().T, pred_list_u.mean(0).squeeze().T + 2*pred_list_u.std(0).squeeze().T, facecolor='b', alpha=0.2, label = '2 std')\n", | |
| "plt.plot(x_u,y_u,'kx',markersize=5, label='Training data')\n", | |
| "plt.xlim([lb,ub])\n", | |
| "plt.legend(fontsize=10)\n", | |
| "plt.show()\n", | |
| "\n", | |
| "plt.figure(figsize=(7,5))\n", | |
| "plt.plot(x_val,f_val,'r-',label='Exact')\n", | |
| "# plt.plot(x_val,pred_list_f.squeeze(2).T, 'b-',alpha=0.01)\n", | |
| "plt.plot(x_val,pred_list_f.mean(0).squeeze().T, 'b-',alpha=0.9,label ='Mean')\n", | |
| "plt.fill_between(x_val.reshape(-1), pred_list_f.mean(0).squeeze().T - 2*pred_list_f.std(0).squeeze().T, pred_list_f.mean(0).squeeze().T + 2*pred_list_f.std(0).squeeze().T, facecolor='b', alpha=0.2, label = '2 std')\n", | |
| "plt.plot(x_f,y_f,'kx',markersize=5, label='Training data')\n", | |
| "plt.xlim([lb,ub])\n", | |
| "plt.legend(fontsize=10)\n", | |
| "plt.show()" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/", | |
| "height": 1000 | |
| }, | |
| "id": "GDQa9Oyx-aZm", | |
| "outputId": "afe29249-7700-461c-c28f-d4105c6cb502" | |
| }, | |
| "execution_count": 13, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "Sampling (Sampler.HMC; Integrator.IMPLICIT)\n", | |
| "Time spent | Time remain.| Progress | Samples | Samples/sec\n", | |
| "\n", | |
| "Acceptance Rate 1.00\n", | |
| "\n", | |
| "Expected validation log probability: -1162.193\n", | |
| "\n", | |
| "The exact values of single parameters: [0.7]\n", | |
| "The means of single parameters: [0.63478667]\n", | |
| "The variances of single parameters: [0.08555228]\n" | |
| ] | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 700x500 with 1 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 700x500 with 1 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "## Overfitting\n", | |
| "\n", | |
| "In the article, only dropout is shown to overfit. Does B-PINNs still suffer from overfiting in any case?" | |
| ], | |
| "metadata": { | |
| "id": "_RIdNlQDA039" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "N_tr_u = 8\n", | |
| "N_tr_f = 32\n", | |
| "like_std = 0.2 # larger variance\n", | |
| "\n", | |
| "\n", | |
| "data = {}\n", | |
| "data['x_u'] = torch.linspace(lb,ub,N_tr_u).view(-1,1)\n", | |
| "data['y_u'] = u(data['x_u']) + torch.randn_like(data['x_u'])*like_std\n", | |
| "data['x_f'] = torch.linspace(lb,ub,N_tr_f).view(-1,1)\n", | |
| "data['y_f'] = f(data['x_f']) + torch.randn_like(data['x_f'])*like_std\n", | |
| "\n", | |
| "net_u = Net(layer_sizes, activation).to(device)\n", | |
| "nets = [net_u]\n", | |
| "\n", | |
| "params_hmc = util.sample_model_bpinns(nets, data, model_loss=model_loss, num_samples=num_samples, num_steps_per_sample=L, step_size=step_size, burn=burn, tau_priors=tau_priors, tau_likes=tau_likes, device=device, n_params_single=n_params_single, pde=pde, pinns=pinns, epochs=epochs)\n", | |
| "\n", | |
| "pred_list, log_prob_list = util.predict_model_bpinns(nets, params_hmc, data_val, model_loss=model_loss, tau_priors=tau_priors, tau_likes=tau_likes, n_params_single = n_params_single, pde = pde)\n", | |
| "\n", | |
| "print('\\nExpected validation log probability: {:.3f}'.format(torch.stack(log_prob_list).mean()))\n", | |
| "\n", | |
| "print('\\nThe exact values of single parameters: {}'.format(exact_single))\n", | |
| "params_single = torch.stack(params_hmc)[:,:n_params_single].cpu().numpy()\n", | |
| "print('The means of single parameters: {}'.format(np.exp(params_single).mean(0)))\n", | |
| "print('The variances of single parameters: {}'.format(np.exp(params_single).std(0)))\n", | |
| "\n", | |
| "pred_list_u = pred_list[0].cpu().numpy()\n", | |
| "pred_list_f = pred_list[1].cpu().numpy()\n", | |
| "\n", | |
| "# plot\n", | |
| "\n", | |
| "x_val = data_val['x_u'].cpu().numpy()\n", | |
| "u_val = data_val['y_u'].cpu().numpy()\n", | |
| "f_val = data_val['y_f'].cpu().numpy()\n", | |
| "x_u = data['x_u'].cpu().numpy()\n", | |
| "y_u = data['y_u'].cpu().numpy()\n", | |
| "x_f = data['x_f'].cpu().numpy()\n", | |
| "y_f = data['y_f'].cpu().numpy()\n", | |
| "\n", | |
| "plt.figure(figsize=(7,5))\n", | |
| "plt.plot(x_val,u_val,'r-',label='Exact')\n", | |
| "# plt.plot(x_val,pred_list_u.squeeze(2).T, 'b-',alpha=0.01)\n", | |
| "plt.plot(x_val,pred_list_u.mean(0).squeeze().T, 'b-',alpha=0.9,label ='Mean')\n", | |
| "plt.fill_between(x_val.reshape(-1), pred_list_u.mean(0).squeeze().T - 2*pred_list_u.std(0).squeeze().T, pred_list_u.mean(0).squeeze().T + 2*pred_list_u.std(0).squeeze().T, facecolor='b', alpha=0.2, label = '2 std')\n", | |
| "plt.plot(x_u,y_u,'kx',markersize=5, label='Training data')\n", | |
| "plt.xlim([lb,ub])\n", | |
| "plt.legend(fontsize=10)\n", | |
| "plt.show()\n", | |
| "\n", | |
| "plt.figure(figsize=(7,5))\n", | |
| "plt.plot(x_val,f_val,'r-',label='Exact')\n", | |
| "# plt.plot(x_val,pred_list_f.squeeze(2).T, 'b-',alpha=0.01)\n", | |
| "plt.plot(x_val,pred_list_f.mean(0).squeeze().T, 'b-',alpha=0.9,label ='Mean')\n", | |
| "plt.fill_between(x_val.reshape(-1), pred_list_f.mean(0).squeeze().T - 2*pred_list_f.std(0).squeeze().T, pred_list_f.mean(0).squeeze().T + 2*pred_list_f.std(0).squeeze().T, facecolor='b', alpha=0.2, label = '2 std')\n", | |
| "plt.plot(x_f,y_f,'kx',markersize=5, label='Training data')\n", | |
| "plt.xlim([lb,ub])\n", | |
| "plt.legend(fontsize=10)\n", | |
| "plt.show()" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/", | |
| "height": 1000 | |
| }, | |
| "id": "MPOJTepSA0dc", | |
| "outputId": "b7375561-ef13-485b-fcca-0a8d961840c1" | |
| }, | |
| "execution_count": 14, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "Sampling (Sampler.HMC; Integrator.IMPLICIT)\n", | |
| "Time spent | Time remain.| Progress | Samples | Samples/sec\n", | |
| "\n", | |
| "Acceptance Rate 1.00\n", | |
| "\n", | |
| "Expected validation log probability: -745.026\n", | |
| "\n", | |
| "The exact values of single parameters: [0.7]\n", | |
| "The means of single parameters: [0.69680476]\n", | |
| "The variances of single parameters: [0.07562951]\n" | |
| ] | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 700x500 with 1 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 700x500 with 1 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "it seems that it adapts pretty well to noise, can we reduce the number of parameters in the NN without worsening the result?" | |
| ], | |
| "metadata": { | |
| "id": "yhmkenmVJ5xS" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "N_tr_u = 8\n", | |
| "N_tr_f = 32\n", | |
| "like_std = 0.2 # larger variance\n", | |
| "layer_sizes = [1, 8, 8, 1]\n", | |
| "\n", | |
| "\n", | |
| "data = {}\n", | |
| "data['x_u'] = torch.linspace(lb,ub,N_tr_u).view(-1,1)\n", | |
| "data['y_u'] = u(data['x_u']) + torch.randn_like(data['x_u'])*like_std\n", | |
| "data['x_f'] = torch.linspace(lb,ub,N_tr_f).view(-1,1)\n", | |
| "data['y_f'] = f(data['x_f']) + torch.randn_like(data['x_f'])*like_std\n", | |
| "\n", | |
| "net_u = Net(layer_sizes, activation).to(device)\n", | |
| "nets = [net_u]\n", | |
| "\n", | |
| "params_hmc = util.sample_model_bpinns(nets, data, model_loss=model_loss, num_samples=num_samples, num_steps_per_sample=L, step_size=step_size, burn=burn, tau_priors=tau_priors, tau_likes=tau_likes, device=device, n_params_single=n_params_single, pde=pde, pinns=pinns, epochs=epochs)\n", | |
| "\n", | |
| "pred_list, log_prob_list = util.predict_model_bpinns(nets, params_hmc, data_val, model_loss=model_loss, tau_priors=tau_priors, tau_likes=tau_likes, n_params_single = n_params_single, pde = pde)\n", | |
| "\n", | |
| "print('\\nExpected validation log probability: {:.3f}'.format(torch.stack(log_prob_list).mean()))\n", | |
| "\n", | |
| "print('\\nThe exact values of single parameters: {}'.format(exact_single))\n", | |
| "params_single = torch.stack(params_hmc)[:,:n_params_single].cpu().numpy()\n", | |
| "print('The means of single parameters: {}'.format(np.exp(params_single).mean(0)))\n", | |
| "print('The variances of single parameters: {}'.format(np.exp(params_single).std(0)))\n", | |
| "\n", | |
| "pred_list_u = pred_list[0].cpu().numpy()\n", | |
| "pred_list_f = pred_list[1].cpu().numpy()\n", | |
| "\n", | |
| "# plot\n", | |
| "\n", | |
| "x_val = data_val['x_u'].cpu().numpy()\n", | |
| "u_val = data_val['y_u'].cpu().numpy()\n", | |
| "f_val = data_val['y_f'].cpu().numpy()\n", | |
| "x_u = data['x_u'].cpu().numpy()\n", | |
| "y_u = data['y_u'].cpu().numpy()\n", | |
| "x_f = data['x_f'].cpu().numpy()\n", | |
| "y_f = data['y_f'].cpu().numpy()\n", | |
| "\n", | |
| "plt.figure(figsize=(7,5))\n", | |
| "plt.plot(x_val,u_val,'r-',label='Exact')\n", | |
| "# plt.plot(x_val,pred_list_u.squeeze(2).T, 'b-',alpha=0.01)\n", | |
| "plt.plot(x_val,pred_list_u.mean(0).squeeze().T, 'b-',alpha=0.9,label ='Mean')\n", | |
| "plt.fill_between(x_val.reshape(-1), pred_list_u.mean(0).squeeze().T - 2*pred_list_u.std(0).squeeze().T, pred_list_u.mean(0).squeeze().T + 2*pred_list_u.std(0).squeeze().T, facecolor='b', alpha=0.2, label = '2 std')\n", | |
| "plt.plot(x_u,y_u,'kx',markersize=5, label='Training data')\n", | |
| "plt.xlim([lb,ub])\n", | |
| "plt.legend(fontsize=10)\n", | |
| "plt.show()\n", | |
| "\n", | |
| "plt.figure(figsize=(7,5))\n", | |
| "plt.plot(x_val,f_val,'r-',label='Exact')\n", | |
| "# plt.plot(x_val,pred_list_f.squeeze(2).T, 'b-',alpha=0.01)\n", | |
| "plt.plot(x_val,pred_list_f.mean(0).squeeze().T, 'b-',alpha=0.9,label ='Mean')\n", | |
| "plt.fill_between(x_val.reshape(-1), pred_list_f.mean(0).squeeze().T - 2*pred_list_f.std(0).squeeze().T, pred_list_f.mean(0).squeeze().T + 2*pred_list_f.std(0).squeeze().T, facecolor='b', alpha=0.2, label = '2 std')\n", | |
| "plt.plot(x_f,y_f,'kx',markersize=5, label='Training data')\n", | |
| "plt.xlim([lb,ub])\n", | |
| "plt.legend(fontsize=10)\n", | |
| "plt.show()" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/", | |
| "height": 1000 | |
| }, | |
| "id": "zPu58vzaKETx", | |
| "outputId": "c0ae3d0b-7475-461c-e12f-f9ccdbabc1f2" | |
| }, | |
| "execution_count": 15, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "Sampling (Sampler.HMC; Integrator.IMPLICIT)\n", | |
| "Time spent | Time remain.| Progress | Samples | Samples/sec\n", | |
| "\n", | |
| "Acceptance Rate 1.00\n", | |
| "\n", | |
| "Expected validation log probability: -552.528\n", | |
| "\n", | |
| "The exact values of single parameters: [0.7]\n", | |
| "The means of single parameters: [0.71414]\n", | |
| "The variances of single parameters: [0.08377223]\n" | |
| ] | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 700x500 with 1 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 700x500 with 1 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "source": [ | |
| "## PINNs\n", | |
| "\n", | |
| "Do we confirm that PINNs are not able to adapt to noise?" | |
| ], | |
| "metadata": { | |
| "id": "5465DYJdKnJ4" | |
| } | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "N_tr_u = 8\n", | |
| "N_tr_f = 32\n", | |
| "like_std = 0.2 # larger variance\n", | |
| "layer_sizes = [1, 16, 16, 1]\n", | |
| "pinns = True\n", | |
| "\n", | |
| "data = {}\n", | |
| "data['x_u'] = torch.linspace(lb,ub,N_tr_u).view(-1,1)\n", | |
| "data['y_u'] = u(data['x_u']) + torch.randn_like(data['x_u'])*like_std\n", | |
| "data['x_f'] = torch.linspace(lb,ub,N_tr_f).view(-1,1)\n", | |
| "data['y_f'] = f(data['x_f']) + torch.randn_like(data['x_f'])*like_std\n", | |
| "\n", | |
| "net_u = Net(layer_sizes, activation).to(device)\n", | |
| "nets = [net_u]\n", | |
| "\n", | |
| "params_hmc = util.sample_model_bpinns(nets, data, model_loss=model_loss, num_samples=num_samples, num_steps_per_sample=L, step_size=step_size, burn=burn, tau_priors=tau_priors, tau_likes=tau_likes, device=device, n_params_single=n_params_single, pde=pde, pinns=pinns, epochs=epochs)\n", | |
| "\n", | |
| "pred_list, log_prob_list = util.predict_model_bpinns(nets, params_hmc, data_val, model_loss=model_loss, tau_priors=tau_priors, tau_likes=tau_likes, n_params_single = n_params_single, pde = pde)\n", | |
| "\n", | |
| "print('\\nExpected validation log probability: {:.3f}'.format(torch.stack(log_prob_list).mean()))\n", | |
| "\n", | |
| "print('\\nThe exact values of single parameters: {}'.format(exact_single))\n", | |
| "params_single = torch.stack(params_hmc)[:,:n_params_single].cpu().numpy()\n", | |
| "print('The means of single parameters: {}'.format(np.exp(params_single).mean(0)))\n", | |
| "print('The variances of single parameters: {}'.format(np.exp(params_single).std(0)))\n", | |
| "\n", | |
| "pred_list_u = pred_list[0].cpu().numpy()\n", | |
| "pred_list_f = pred_list[1].cpu().numpy()\n", | |
| "\n", | |
| "# plot\n", | |
| "\n", | |
| "x_val = data_val['x_u'].cpu().numpy()\n", | |
| "u_val = data_val['y_u'].cpu().numpy()\n", | |
| "f_val = data_val['y_f'].cpu().numpy()\n", | |
| "x_u = data['x_u'].cpu().numpy()\n", | |
| "y_u = data['y_u'].cpu().numpy()\n", | |
| "x_f = data['x_f'].cpu().numpy()\n", | |
| "y_f = data['y_f'].cpu().numpy()\n", | |
| "\n", | |
| "plt.figure(figsize=(7,5))\n", | |
| "plt.plot(x_val,u_val,'r-',label='Exact')\n", | |
| "# plt.plot(x_val,pred_list_u.squeeze(2).T, 'b-',alpha=0.01)\n", | |
| "plt.plot(x_val,pred_list_u.mean(0).squeeze().T, 'b-',alpha=0.9,label ='Mean')\n", | |
| "plt.fill_between(x_val.reshape(-1), pred_list_u.mean(0).squeeze().T - 2*pred_list_u.std(0).squeeze().T, pred_list_u.mean(0).squeeze().T + 2*pred_list_u.std(0).squeeze().T, facecolor='b', alpha=0.2, label = '2 std')\n", | |
| "plt.plot(x_u,y_u,'kx',markersize=5, label='Training data')\n", | |
| "plt.xlim([lb,ub])\n", | |
| "plt.legend(fontsize=10)\n", | |
| "plt.show()\n", | |
| "\n", | |
| "plt.figure(figsize=(7,5))\n", | |
| "plt.plot(x_val,f_val,'r-',label='Exact')\n", | |
| "# plt.plot(x_val,pred_list_f.squeeze(2).T, 'b-',alpha=0.01)\n", | |
| "plt.plot(x_val,pred_list_f.mean(0).squeeze().T, 'b-',alpha=0.9,label ='Mean')\n", | |
| "plt.fill_between(x_val.reshape(-1), pred_list_f.mean(0).squeeze().T - 2*pred_list_f.std(0).squeeze().T, pred_list_f.mean(0).squeeze().T + 2*pred_list_f.std(0).squeeze().T, facecolor='b', alpha=0.2, label = '2 std')\n", | |
| "plt.plot(x_f,y_f,'kx',markersize=5, label='Training data')\n", | |
| "plt.xlim([lb,ub])\n", | |
| "plt.legend(fontsize=10)\n", | |
| "plt.show()" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/", | |
| "height": 1000 | |
| }, | |
| "id": "WHcgV5AEKmrt", | |
| "outputId": "4b524463-299a-4f16-cbc1-c2c4180aa89d" | |
| }, | |
| "execution_count": 16, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "Epoch: 0, loss: 937.713196, time: 0.98\n", | |
| "Epoch: 100, loss: 834.576538, time: 1.35\n", | |
| "Epoch: 200, loss: 833.494385, time: 1.69\n", | |
| "Epoch: 300, loss: 832.435913, time: 2.00\n", | |
| "Epoch: 400, loss: 831.347473, time: 2.33\n", | |
| "Epoch: 500, loss: 829.939453, time: 2.63\n", | |
| "Epoch: 600, loss: 827.098999, time: 2.95\n", | |
| "Epoch: 700, loss: 819.017578, time: 3.27\n", | |
| "Epoch: 800, loss: 788.617188, time: 3.58\n", | |
| "Epoch: 900, loss: 735.177612, time: 3.88\n", | |
| "Epoch: 1000, loss: 724.306274, time: 4.20\n", | |
| "Epoch: 1100, loss: 713.988281, time: 4.51\n", | |
| "Epoch: 1200, loss: 682.973877, time: 4.84\n", | |
| "Epoch: 1300, loss: 608.248413, time: 5.17\n", | |
| "Epoch: 1400, loss: 575.264771, time: 5.49\n", | |
| "Epoch: 1500, loss: 456.941284, time: 5.83\n", | |
| "Epoch: 1600, loss: 387.400818, time: 6.19\n", | |
| "Epoch: 1700, loss: 375.854187, time: 6.50\n", | |
| "Epoch: 1800, loss: 371.794556, time: 6.82\n", | |
| "Epoch: 1900, loss: 369.424988, time: 7.15\n", | |
| "Epoch: 2000, loss: 367.668915, time: 7.49\n", | |
| "Epoch: 2100, loss: 366.287811, time: 7.86\n", | |
| "Epoch: 2200, loss: 365.192932, time: 8.17\n", | |
| "Epoch: 2300, loss: 364.303223, time: 8.47\n", | |
| "Epoch: 2400, loss: 363.549347, time: 8.78\n", | |
| "Epoch: 2500, loss: 362.880798, time: 9.09\n", | |
| "Epoch: 2600, loss: 362.259247, time: 9.39\n", | |
| "Epoch: 2700, loss: 361.657410, time: 9.70\n", | |
| "Epoch: 2800, loss: 361.065979, time: 10.02\n", | |
| "Epoch: 2900, loss: 360.500702, time: 10.32\n", | |
| "Epoch: 3000, loss: 359.989319, time: 10.63\n", | |
| "Epoch: 3100, loss: 359.544952, time: 10.98\n", | |
| "Epoch: 3200, loss: 359.158966, time: 11.33\n", | |
| "Epoch: 3300, loss: 358.815094, time: 11.65\n", | |
| "Epoch: 3400, loss: 358.500031, time: 11.99\n", | |
| "Epoch: 3500, loss: 358.204010, time: 12.34\n", | |
| "Epoch: 3600, loss: 357.920898, time: 12.68\n", | |
| "Epoch: 3700, loss: 357.648560, time: 13.02\n", | |
| "Epoch: 3800, loss: 357.390778, time: 13.36\n", | |
| "Epoch: 3900, loss: 357.156708, time: 13.68\n", | |
| "Epoch: 4000, loss: 356.954132, time: 14.00\n", | |
| "Epoch: 4100, loss: 356.786072, time: 14.30\n", | |
| "Epoch: 4200, loss: 356.650208, time: 14.60\n", | |
| "Epoch: 4300, loss: 356.542175, time: 14.92\n", | |
| "Epoch: 4400, loss: 356.456299, time: 15.22\n", | |
| "Epoch: 4500, loss: 356.386871, time: 15.52\n", | |
| "Epoch: 4600, loss: 356.328979, time: 15.83\n", | |
| "Epoch: 4700, loss: 356.280029, time: 16.14\n", | |
| "Epoch: 4800, loss: 356.236237, time: 16.45\n", | |
| "Epoch: 4900, loss: 356.197754, time: 16.75\n", | |
| "Epoch: 5000, loss: 356.163330, time: 17.08\n", | |
| "Epoch: 5100, loss: 356.132080, time: 17.38\n", | |
| "Epoch: 5200, loss: 356.103699, time: 17.68\n", | |
| "Epoch: 5300, loss: 356.077667, time: 17.99\n", | |
| "Epoch: 5400, loss: 356.053833, time: 18.29\n", | |
| "Epoch: 5500, loss: 356.031769, time: 18.60\n", | |
| "Epoch: 5600, loss: 356.012024, time: 18.91\n", | |
| "Epoch: 5700, loss: 355.992737, time: 19.21\n", | |
| "Epoch: 5800, loss: 355.975616, time: 19.52\n", | |
| "Epoch: 5900, loss: 355.959656, time: 19.83\n", | |
| "Epoch: 6000, loss: 355.945068, time: 20.14\n", | |
| "Epoch: 6100, loss: 355.931671, time: 20.45\n", | |
| "Epoch: 6200, loss: 355.919525, time: 20.75\n", | |
| "Epoch: 6300, loss: 355.908508, time: 21.07\n", | |
| "Epoch: 6400, loss: 355.898560, time: 21.38\n", | |
| "Epoch: 6500, loss: 355.890137, time: 21.68\n", | |
| "Epoch: 6600, loss: 355.881836, time: 22.03\n", | |
| "Epoch: 6700, loss: 355.875793, time: 22.33\n", | |
| "Epoch: 6800, loss: 355.868958, time: 22.65\n", | |
| "Epoch: 6900, loss: 355.863800, time: 22.99\n", | |
| "Epoch: 7000, loss: 355.859375, time: 23.33\n", | |
| "Epoch: 7100, loss: 355.855530, time: 23.70\n", | |
| "Epoch: 7200, loss: 355.855774, time: 24.06\n", | |
| "Epoch: 7300, loss: 355.849548, time: 24.41\n", | |
| "Epoch: 7400, loss: 355.847137, time: 24.76\n", | |
| "Epoch: 7500, loss: 355.845093, time: 25.13\n", | |
| "Epoch: 7600, loss: 355.843292, time: 25.43\n", | |
| "Epoch: 7700, loss: 355.841675, time: 25.73\n", | |
| "Epoch: 7800, loss: 355.840271, time: 26.05\n", | |
| "Epoch: 7900, loss: 355.848083, time: 26.36\n", | |
| "Epoch: 8000, loss: 355.837769, time: 26.67\n", | |
| "Epoch: 8100, loss: 355.836670, time: 26.97\n", | |
| "Epoch: 8200, loss: 355.835632, time: 27.28\n", | |
| "Epoch: 8300, loss: 355.834808, time: 27.58\n", | |
| "Epoch: 8400, loss: 355.833710, time: 27.89\n", | |
| "Epoch: 8500, loss: 355.832916, time: 28.20\n", | |
| "Epoch: 8600, loss: 355.832642, time: 28.50\n", | |
| "Epoch: 8700, loss: 355.831116, time: 28.82\n", | |
| "Epoch: 8800, loss: 355.830414, time: 29.14\n", | |
| "Epoch: 8900, loss: 355.831757, time: 29.46\n", | |
| "Epoch: 9000, loss: 355.829407, time: 29.77\n", | |
| "Epoch: 9100, loss: 355.829346, time: 30.09\n", | |
| "Epoch: 9200, loss: 355.829071, time: 30.41\n", | |
| "Epoch: 9300, loss: 355.826782, time: 30.72\n", | |
| "Epoch: 9400, loss: 355.826263, time: 31.04\n", | |
| "Epoch: 9500, loss: 355.825562, time: 31.35\n", | |
| "Epoch: 9600, loss: 355.825012, time: 31.66\n", | |
| "Epoch: 9700, loss: 355.824615, time: 31.97\n", | |
| "Epoch: 9800, loss: 355.823975, time: 32.28\n", | |
| "Epoch: 9900, loss: 355.823486, time: 32.58\n", | |
| "\n", | |
| "Expected validation log probability: -568.623\n", | |
| "\n", | |
| "The exact values of single parameters: [0.7]\n", | |
| "The means of single parameters: [0.5431653]\n", | |
| "The variances of single parameters: [0.]\n" | |
| ] | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 700x500 with 1 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| }, | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 700x500 with 1 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| } | |
| ] | |
| } | |
| ] | |
| } |
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