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PINA/tutorials/tutorial3/tutorial.ipynb
2025-03-19 17:48:28 +01:00

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{
"cells": [
{
"cell_type": "markdown",
"id": "6a739a84",
"metadata": {},
"source": [
"# Tutorial: Two dimensional Wave problem with hard constraint\n",
"\n",
"[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/mathLab/PINA/blob/master/tutorials/tutorial3/tutorial.ipynb)\n",
"\n",
"In this tutorial we present how to solve the wave equation using hard constraint PINNs. For doing so we will build a costum `torch` model and pass it to the `PINN` solver.\n",
"\n",
"First of all, some useful imports."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "d93daba0",
"metadata": {},
"outputs": [],
"source": [
"## routine needed to run the notebook on Google Colab\n",
"try:\n",
" import google.colab\n",
"\n",
" IN_COLAB = True\n",
"except:\n",
" IN_COLAB = False\n",
"if IN_COLAB: \n",
" !pip install \"pina-mathlab\"\n",
"\n",
"import torch\n",
"import matplotlib.pyplot as plt\n",
"import warnings\n",
"\n",
"from pina import Condition, LabelTensor, Trainer\n",
"from pina.problem import SpatialProblem, TimeDependentProblem\n",
"from pina.operator import laplacian, grad\n",
"from pina.domain import CartesianDomain\n",
"from pina.solver import PINN\n",
"from pina.equation import Equation, FixedValue\n",
"from pina.callback import MetricTracker\n",
"\n",
"warnings.filterwarnings(\"ignore\")"
]
},
{
"cell_type": "markdown",
"id": "2316f24e",
"metadata": {},
"source": [
"## The problem definition "
]
},
{
"cell_type": "markdown",
"id": "bc2bbf62",
"metadata": {},
"source": [
"The problem is written in the following form:\n",
"\n",
"\\begin{equation}\n",
"\\begin{cases}\n",
"\\Delta u(x,y,t) = \\frac{\\partial^2}{\\partial t^2} u(x,y,t) \\quad \\text{in } D, \\\\\\\\\n",
"u(x, y, t=0) = \\sin(\\pi x)\\sin(\\pi y), \\\\\\\\\n",
"u(x, y, t) = 0 \\quad \\text{on } \\Gamma_1 \\cup \\Gamma_2 \\cup \\Gamma_3 \\cup \\Gamma_4,\n",
"\\end{cases}\n",
"\\end{equation}\n",
"\n",
"where $D$ is a squared domain $[0,1]^2$, and $\\Gamma_i$, with $i=1,...,4$, are the boundaries of the square, and the velocity in the standard wave equation is fixed to one."
]
},
{
"cell_type": "markdown",
"id": "cbc50741",
"metadata": {},
"source": [
"Now, the wave problem is written in PINA code as a class, inheriting from `SpatialProblem` and `TimeDependentProblem` since we deal with spatial, and time dependent variables. The equations are written as `conditions` that should be satisfied in the corresponding domains. `solution` is the exact solution which will be compared with the predicted one."
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "b60176c4",
"metadata": {},
"outputs": [],
"source": [
"def wave_equation(input_, output_):\n",
" u_t = grad(output_, input_, components=[\"u\"], d=[\"t\"])\n",
" u_tt = grad(u_t, input_, components=[\"dudt\"], d=[\"t\"])\n",
" nabla_u = laplacian(output_, input_, components=[\"u\"], d=[\"x\", \"y\"])\n",
" return nabla_u - u_tt\n",
"\n",
"\n",
"def initial_condition(input_, output_):\n",
" u_expected = torch.sin(torch.pi * input_.extract([\"x\"])) * torch.sin(\n",
" torch.pi * input_.extract([\"y\"])\n",
" )\n",
" return output_.extract([\"u\"]) - u_expected\n",
"\n",
"\n",
"class Wave(TimeDependentProblem, SpatialProblem):\n",
" output_variables = [\"u\"]\n",
" spatial_domain = CartesianDomain({\"x\": [0, 1], \"y\": [0, 1]})\n",
" temporal_domain = CartesianDomain({\"t\": [0, 1]})\n",
" domains = {\n",
" \"g1\": CartesianDomain({\"x\": 1, \"y\": [0, 1], \"t\": [0, 1]}),\n",
" \"g2\": CartesianDomain({\"x\": 0, \"y\": [0, 1], \"t\": [0, 1]}),\n",
" \"g3\": CartesianDomain({\"x\": [0, 1], \"y\": 0, \"t\": [0, 1]}),\n",
" \"g4\": CartesianDomain({\"x\": [0, 1], \"y\": 1, \"t\": [0, 1]}),\n",
" \"initial\": CartesianDomain({\"x\": [0, 1], \"y\": [0, 1], \"t\": 0}),\n",
" \"D\": CartesianDomain({\"x\": [0, 1], \"y\": [0, 1], \"t\": [0, 1]}),\n",
" }\n",
" conditions = {\n",
" \"g1\": Condition(domain=\"g1\", equation=FixedValue(0.0)),\n",
" \"g2\": Condition(domain=\"g2\", equation=FixedValue(0.0)),\n",
" \"g3\": Condition(domain=\"g3\", equation=FixedValue(0.0)),\n",
" \"g4\": Condition(domain=\"g4\", equation=FixedValue(0.0)),\n",
" \"initial\": Condition(\n",
" domain=\"initial\", equation=Equation(initial_condition)\n",
" ),\n",
" \"D\": Condition(domain=\"D\", equation=Equation(wave_equation)),\n",
" }\n",
"\n",
" def solution(self, pts):\n",
" f = (\n",
" torch.sin(torch.pi * pts.extract([\"x\"]))\n",
" * torch.sin(torch.pi * pts.extract([\"y\"]))\n",
" * torch.cos(\n",
" torch.sqrt(torch.tensor(2.0)) * torch.pi * pts.extract([\"t\"])\n",
" )\n",
" )\n",
" return LabelTensor(f, self.output_variables)\n",
"\n",
"\n",
"# define problem\n",
"problem = Wave()"
]
},
{
"cell_type": "markdown",
"id": "03557e0c-1f82-4dad-b611-5d33fddfd0ef",
"metadata": {},
"source": [
"## Hard Constraint Model"
]
},
{
"cell_type": "markdown",
"id": "356fe363",
"metadata": {},
"source": [
"After the problem, a **torch** model is needed to solve the PINN. Usually, many models are already implemented in **PINA**, but the user has the possibility to build his/her own model in `torch`. The hard constraint we impose is on the boundary of the spatial domain. Specifically, our solution is written as:\n",
"\n",
"$$ u_{\\rm{pinn}} = xy(1-x)(1-y)\\cdot NN(x, y, t), $$\n",
"\n",
"where $NN$ is the neural net output. This neural network takes as input the coordinates (in this case $x$, $y$ and $t$) and provides the unknown field $u$. By construction, it is zero on the boundaries. The residuals of the equations are evaluated at several sampling points (which the user can manipulate using the method `discretise_domain`) and the loss minimized by the neural network is the sum of the residuals."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "9fbbb74f",
"metadata": {},
"outputs": [],
"source": [
"class HardMLP(torch.nn.Module):\n",
"\n",
" def __init__(self, input_dim, output_dim):\n",
" super().__init__()\n",
"\n",
" self.layers = torch.nn.Sequential(\n",
" torch.nn.Linear(input_dim, 40),\n",
" torch.nn.ReLU(),\n",
" torch.nn.Linear(40, 40),\n",
" torch.nn.ReLU(),\n",
" torch.nn.Linear(40, output_dim),\n",
" )\n",
"\n",
" # here in the foward we implement the hard constraints\n",
" def forward(self, x):\n",
" hard = (\n",
" x.extract([\"x\"])\n",
" * (1 - x.extract([\"x\"]))\n",
" * x.extract([\"y\"])\n",
" * (1 - x.extract([\"y\"]))\n",
" )\n",
" return hard * self.layers(x)"
]
},
{
"cell_type": "markdown",
"id": "f79fc901-4720-4fac-8b72-84ac5f7d2ec3",
"metadata": {},
"source": [
"## Train and Inference"
]
},
{
"cell_type": "markdown",
"id": "b465bebd",
"metadata": {},
"source": [
"In this tutorial, the neural network is trained for 1000 epochs with a learning rate of 0.001 (default in `PINN`). As always, we will log using `Tensorboard`."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "0be8e7f5",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"GPU available: True (mps), used: False\n",
"TPU available: False, using: 0 TPU cores\n",
"HPU available: False, using: 0 HPUs\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Epoch 999: 100%|██████████| 1/1 [00:00<00:00, 37.78it/s, v_num=2, g1_loss=0.000, g2_loss=0.000, g3_loss=0.000, g4_loss=0.000, initial_loss=0.0711, D_loss=0.0291, train_loss=0.100]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"`Trainer.fit` stopped: `max_epochs=1000` reached.\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Epoch 999: 100%|██████████| 1/1 [00:00<00:00, 32.87it/s, v_num=2, g1_loss=0.000, g2_loss=0.000, g3_loss=0.000, g4_loss=0.000, initial_loss=0.0711, D_loss=0.0291, train_loss=0.100]\n"
]
}
],
"source": [
"# generate the data\n",
"problem.discretise_domain(1000, \"random\", domains=\"all\")\n",
"\n",
"# define model\n",
"model = HardMLP(len(problem.input_variables), len(problem.output_variables))\n",
"\n",
"# crete the solver\n",
"pinn = PINN(problem=problem, model=model)\n",
"\n",
"# create trainer and train\n",
"trainer = Trainer(\n",
" solver=pinn,\n",
" max_epochs=1000,\n",
" accelerator=\"cpu\",\n",
" enable_model_summary=False,\n",
" train_size=1.0,\n",
" val_size=0.0,\n",
" test_size=0.0,\n",
" callbacks=[MetricTracker([\"train_loss\", \"initial_loss\", \"D_loss\"])],\n",
")\n",
"trainer.train()"
]
},
{
"cell_type": "markdown",
"id": "4c6dbfac",
"metadata": {},
"source": [
"Let's now plot the losses inside `MetricTracker` to see how they vary during training."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "77bfcb6e",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x176482a30>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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aN8J0eqOuv1JNG97KtJu8RmgnoMUwIKCZrmapKAdo2k7XeJJNJ6kBMQiZCIMQEVUmvzaPZhxVG9D+dvw3HE4/fMmqtAjvCHQI6oDJrSerUCQbzNoE+ciQ6TCpTUraB5zboduyRFoESB8kaT4pgamKVXqXNp2M0AUquVS1SUG6qbiwLkBJga5zt/RaWv60ro6p2xROxVGtMQiZCIMQEdUkryQPH+/+WG08K40f5XZlUngt+6hN6zAN3rLBqy2TQuucRN1o0rEVuq1LZESpOFcXZHKSAU3Rlb+u1GR1nAz0uQ/QlAD+UboVcAxHVAUGIRNhECKiK1FQWoDlp5arVWg/Hv2xyu7X0uX65nY3Y0T0CCyLX4aR0SPh4+qjlvYbbw9SUlai6pXMvozf1KTppASlzNO6abazW3QjTDK6dH6HrrdSbbn66EaVpLWAjCDJ9iVSxC2vkZ8OhHcFZKVfSEeg3wzA1UQb+JLFYxAyEQYhIqqrwtJCFWY+3PWhGi06mHawxq+R/kVSZyQbzEqIktElqT8K9w6Hi6OLKsr2d/fH1Nip6vnSIdvmyDYjjk66sCTTbQHNdQXeh38Hts7VTcVJR3C119sVfITJeyVTcNH9dNuayKhS8yHl9UsS0Eq5D5wNYRAyEQYhIjIVKbiWJfq7UnZh0bFFarSnvmTDWdkyJMw7TE27hXiFwObJiJKsSJPl/DLlJiNosmpNCrFlyu34Sl1HbXlMRopkFOjgEiAvpeag1P5aXVjqeJ2unxJZLQYhE2EQIqKGkJibqPZGkwCz4NACtReajO78c/ofNPdrjvM55xHhoyu4/uXYL8gszFSjSzIitDVxK3JLci95TVnS3y+8H+7pfA/aB7aHqxQak46M/uz7QTf9Jqvh5JDpONn/rapNcgNigGnLAd8w4PQm4MgfuqaT3e/gajcrwSBkIgxCRGRpZMpM9lELcg9Sm81mFGVg9ZnV2JO6p8LzZN+08S3Gq+LslPwUXNf6OhWyGJCMyEegrHSTVW6Je4ETq4CTa3Qb58oIkfRaMhbUGrjqFSCqj672SGqawrtz9MgCMQiZCIMQEVkD+VV+KO0Qvjr4FdacXVNlZ2y92KBYTGw1UYWiPqF91J5rUqAtDSJJkuYp4LubgdTDF++TYmtZ/SatAarqmdRmtO6Q6U4JSdIGQPaHkxWCbja+StBCMQiZCIMQEVkb+bUuo0Trz63HD0d/UEXWWmhV36PKZFRJRphkZdrz/Z5XdUsyilSGMvV1dkvqkKS5ZMIuwM0XiJ0AJOwBfrlLt7dbTWSbEin2llVt188DWo+69DnxG3Qr3eR50kOp+eAG+VHsVTaDkGkwCBGRLZBf9dLjSC5/P/G7mkaTTWerEu0TjdSCVEzrOA3DooapFWu+rvz9V2EfNynQlroj2XNNwtLOeUDmWd1UmmxfUllYVyBmIBDeTVfkveI53Uo4Y9d+BLQfDyx/VlfgPfJFwM2nvL15MXBwsW50qd3VjfNzWjkGIRNhECIiW/Xbid/w2tbX0KVpF8RnxaveR1UJ8QzBU72fUnVG45qPQ4B7QKOfq1WRvdtkek22F/ntYeDoH7X8QukfZfSRLDVIsj1JmzHAvu91m+aKqUuBZgO4l1sNGIRMhEGIiGyZpkwDJ0cnlGhKkF+ajyfWPoHNiZurfb7UFd3Y9kZVjyT9jQZHDlZL+PVNIPXyS/KxJ2UPOjftbPudtC9HPmIzzwBnt+r2aZOl/VJH5B2iC0pj39JNj313I3D8nyt4YQegy01Al5t1U2sthupeU0anji7XjUy1HQtE97fbwJTNIGQaDEJEZG8bzMroUIxfDNaeW6sCzetbX0dOSU61X9OpSSfc2v5W1R1bOmt3D+6OO/+6E/HZ8Wprkf9d9b9LghJVUZMUvx5IOwZE9tL1P9r6qa6JpGxeK1NkPe4A/ngcKLi0Wznc/YAOk4CdX1W8f+RLwMBHKt4nU3O5KYBfZNXbk0gskFVzPqGwZgxCJsIgRET2TqbEpKDaz9UP7+x4B2mFaarWyN3ZXTWIlP5Gl/N076fhAAdc2/Ja+x4dMoVzO4F1bwH+0bVrEil63Q10vlFXn6QpBn64DTixUtc0csAjQEgHXSdvIfvD/XynrjBcirwlXFkpBiETYRAiIrp8t+x5B+ZhS+IWNcWWkJtg2HTWw9lDjRDp9Q7tjUmtJ8HfzR8DwgdwlKi+shOBuGXAhePAltm6+7pO0Y0cBbUEvroGSKl5WxfIJrZSzC2r1iRk6UeV/JsB92+8WLAtpMeStBHoMe1ieLJQDEImwiBERFR7cRlxmLt3ruqIParZKIxfMr7KrUQe7/k4hkQOUUGpfVB7s5yrbTWFjNNtK+IXdXG6Szad/X0mcPi3is+XTXyj+wCn1tX82tJhe+IcIKIHkHwQ+GKErsZJVrQN/DcsGYOQiTAIERHV3fL45Th44aCaSvv60Neqn1FlI6JHqNGjHck71L5pskJNCrBlmxHpgi37p10ouKD2Z5OA1T+8P0eTroQEoj+f0HXBHvwk0GGibnNZmf76bEjVX3PVq7ol/tWRAu/H4gCvIFgqBiETYRAiIjKN3OJcODs6Y9ryaTiQdqDWX/dkryex8PBCnM89r25PaT9FBSWpTZrcejKOpB+Bt4u3KvCmK7T2Ld3I0OjXgCX365pIthkL3PwdELcc+O6m6r/2zr+A6L6wVAxCJsIgRERkWsczjuOzfZ+hW0g3NPNphkXHFyHCO0JtFLv4+GJsSthU69eSAKTfgFam4qQbtqxUk6NYU4xW/q04elRbxXlAymFdvZB+Y9mUI8AnfS4+54avgW2f61a4TfoM6HJjxZVmXsEVl+tL08mSAsC98T8/GYSMTJo0CWvWrMGIESPw888/X9HXMggRETUe+UiSjtcyhdbCrwVuX3Y7TmadVI/NHzMfP8b9iD9O1rZBITA0aij6hvVFVlGWCknSI6ltQFvM6DoDh9MPo2twV/veSqS2AenkWqD1VbqA9OuDwO4FusdkY9p+DwJHlwHJ+3X9jKYsApY/reudJBvZCul3NGkuGhODkBEJQTk5OZg/fz6DEBGRFckpzsGCQwvQsUlH1byxSFOEw2mH0cK/BXYm7VShaWzzsWpJ/8bzG6HRavDr8V/VaFBxWXGtgpJMvUnzx+HRw1WtUmFpITzlA56qdmAR8PO0ah4s74hdRYE8Ht4NBLZAY2EQqiIMffzxxwxCREQ2Tr9KTZb0P7P+GXVbpt30PYz+Pv13lV8XGxSLbsHdVD3STW1vQqRPpNpjrXVAa6w7tw59wvqgR0iPRv1ZLNaxv4Ejf+j2WBPeoUB+GnC5nlLXfAD0vEyAstcgtG7dOrz99tvYuXMnEhMTsXjxYkycOLHCc2bPnq2ek5SUhC5duuCjjz5C7969r+j7MAgREdkfCUHSzNG4TuiXuF9wNOMoAt0DMXtPef+dWhoaORTvDn1XrWYj6GqD8lIBr6a6btWfD9PVCo14Aeg7QxeOts4BNryve74suR8wE3D2AIqydavXpNO1Z6DJT622n9/l1VDmk5eXp8LNnXfeicmTJ1/y+A8//IBHH30Uc+fORZ8+ffDBBx9g9OjROHr0KIKDg9VzunbtitLS0ku+dsWKFQgPD7+i8ykqKlKH8RtJRETWyVGmaSq5rs11husy3SZL8/+K/0ttQlsVCVIt/VuqWqU159bgpj9uQp/QPqq+SKbtZPXa9E7TMaLZCNgdBwfAW/dZDJ8Q4N/lDRz1wVPuazbwYhCSS/11PZ9w4KGdgKt5piPNPiJkTBJ75REhCT+9evVSozmirKwMUVFReOihh/D000+bfEToxRdfxEsvvXTJ/RwRIiKyXVJrNOXPKer6PZ3uUb2NonyjkFaQBjcnN4R7h6ueSLIpbXWB6+uxX6tVcH5ufurzTGqWpNZIlvpL48gmHk0Mz5c93JaeXKqm436K+wm7knfh86s+R6iXde/vddmptNQjwMYPdSNIxmR06PZfdU0e7XFE6HKKi4vVlNkzzzxjuM/R0REjR47E5s3V745cH/K9ZATK+I2U4EVERLarS9Mu+E+f/yA5Pxl3dLxD1QYJ/aUYEzMGXs5e+PXEr2oESUjIkS1DtiVtMwSpGN8YRPhEqCCk5+TghEERg9Sm8TKaJCvWKo9A/XD0B8zsPlONPAW6BcLf3R82o/Uo3dH3AaAgAyjM0u1rdm470O4aIKyz2U7NooPQhQsXoNFoEBISUuF+uX3kyJFav44Ep71796ppuMjISPz000/o169flc91c3NTBxER2Zcb25X3xLmMQZGD1HF/l/uxL3UfRseMVlNjE5ZMUCvXRHx2vDqMyWo2mVYTa87qLitbcnyJqj36ZM8nKoAtGLdAtRCwKY5OgFcT3SH7oUk4MjOLDkKm8s8//5j7FIiIyIZIzZAcerNHzlajRDJC9M2hb1SgubvT3ap/UXZxNjKLMvHFvi9Qqq1YzyqBJ8wrDGdyzqhaJQlBQr5m5qqZuLHtjRjZbKTtTplZAIsOQk2aNIGTkxOSk5Mr3C+3Q0P5PwUREVkG2QNNDnFNi2uqfI6MIm1J2IJ7/7lX3b499nY80v0RVV80a/csfHngS8PUmkzRyajSm9vfxJy9c9SUmXTclmaQ0ztPh5OF7/xuTSw6CLm6uqJHjx5YuXKloYBaiqXl9oMPPmju0yMiIqo1CTz9I/rj5f4vq+X70t3axUnX1frezveqUaDSslI83vNxJOQm4NN9n2Jb4jZ1/ytbXlHPW3lmpWr6GOQRhFNZp3BXp7vg6uhqeB2ywlVjubm5OH78uLrerVs3vPfeexg2bBgCAwMRHR2tls9PnToVn376qeodJMvnf/zxR1UjVLl2yJSkd5EcUqMUFxfHVWNERNTokvKScO2Sa9Wqs6r4uPqox6Z1mIaHuz/c6OdnyaymoaIsa5fgU5mEn6+++kpdl2Xv+oaK0jNo1qxZall9Y2BDRSIiMqej6UexMWEjRkWPwn82/ge7UnZV+bx3hryj9lWTcDTvwDwVom5ud7PajsQeZVtLELJ0DEJERGQpkvOSVc1QM99mqoB69ZnVKhhJTVF1zSBl2xDx4bAPVV8je+mKnc0gZBoMQkREZMlkauzpdU9jc+LmaqfQjPsZXRVzFTILMzGx1USMazEOtopByEQYhIiIyFq8se0N1cjxhX4vqKX8i44twrJTy1QDx6r4u/mr6bMHuj5Q4X7pjVSsKUZOcU6Fpftyf1x6nHptSy/QZhAyEQYhIiKydj8c+QF/nvpTTaGdzz1/yePjmo/Dda2vQ6/QXvhk7yeYu3euGj2SRpDSUfv1Qa+rmqOpy6ciJT9FNZKUmiRLxiBkIgxCRERkS2SfsyJNkepwvejYIuxJ3WN4rHPTzqpjdmVP935aLe1/Z8fF8LNkwhJDU0l5vQ3nNqBHSA+L2RqEQaieuHyeiIhsnVarxbMbnlUbwBqTxo0yCrQ9aTte3/Y6Wvq1RKuAVoY91kSAW4DqlP2vNv9CUm4SlsUvU80gF01YpEKT9DuSoDV792yMihmlwlRjYhAyEY4IERGRLdNqtcgvzceqM6vw4a4PEeMXg7cGv4VA90BVIzT0h6EoLis2PP+qZldhxekV1b5e9+DuapSpY1BHHEo/pEKR+GzUZ+gXXvU+nw2BQchEGISIiMiePbrmUfx9+m/DcvwvR3+JaX9Nu+LXGRQxCLFBsWp7kOmdGn6bkNp+fjs26FkQERGRVRsdM9pwvblfc9WXqGvTrur2iOgRcHZwVtuHvDJAtw2I8dSZl4sXnuvznLq9/vx6tW2IbCy78PBC7ErepbYPMTeL3muMiIiIzGtw5GAEuQchrTANk1pNUiM5Mip0JueMKpaOz4pXq8vk+oWCC1h6YineHPymWmIv98vqswWHFqjn67294211Ge4Vji9Gf4Eonyiz/XycGqsBp8aIiMjencs5h3Xn1uH6NtfXqX/Q8vjleHLtk2pqLD47HnkleYbH5L6F4xbC2dG0YzOsETIRBiEiIqL6Sy9MV9NlS44vwfyD8zE4ajB+jvtZLef/4qov0DO0J0yJQaieuHyeiIioYUkvoxDPELQPam/y12YQMhGOCBEREVkfrhojIiIiqgGDEBEREdktBiEiIiKyWwxCREREZLcYhIiIiMhuMQgRERGR3WIQIiIiIrvFIFQNaaYYGxuLXr16mftUiIiIqIGwoWIN2FCRiIjI+rChIhEREVENGISIiIjIbjEIERERkd1iECIiIiK7xSBEREREdotBiIiIiOwWgxARERHZLQYhIiIislsMQtVgZ2kiIiLbx87SNWBnaSIiIuvDztJERERENWAQIiIiIrvFIERERER2i0GIiIiI7BaDEBEREdktBiEiIrJoBcUacIEzNRQGISIislhn0vLR7ZUVeOqXfeY+FbJRDEJERGSx5m06hcKSMvy441yDf69vtpzGzzsb/vuQZWEQIiIii1VWdnFKrLi0rMG+z/nMAvxnyQE8/tNeJGUVwl6dTc/HK0sP2dV7wCBEREQWK7OgxHA9Maugwb7PgfNZhuurjqTAXr3911H8b8Mp9H19JTRGIdSWMQhVg3uNERE1jN1nMjBh9ka8sezIZZ+XmV+MP/YlGm7Hp+Vf0fdJySnEXV9txw2fbsbmE2mXfe7BhGzD9WMpObDmER15z5Kz6zaicyI113B9ye7zhuvb49NxLNl635fLYRCqxowZM3Do0CFs377d3KdCRGRTvthwCnvPZmLu2hN47c/DuHv+dmTkFVeYDpMP9KX7ElFqNCoRl1S7D2JZYSbTaJ+vO4mVR1Kw7VQ6Xvj1QIVpNj0Z9ZDjkFEQku9trUa8txYzvt2FPq+trNP0VpC3m+H6zjMZ6jI1pwg3fbYFo95fV2OgtEbO5j4BIiKyL4eNQsdn606qy8lzNmHpQwOxdF8Cnvplf9Vfl6j7ulJNGZydHJGQWaBCS49mAep2dmEJfNyc1dTO//1xuMLXHkvJxYpDyRjTMVQFJQk/KTlFGPPBOgR6uSIh82JoOH2FI0+W4tSFvAp1VH/sT8RdA5tf8jz5+SVgujjpxkLS84rVezugVRM1Cqd3tDx4ns3IN0yTvbn8CJbMGABbwiBEREQNTj5IZQQoNtwXJy/kVfkh/n9/HMI/hy+tzwnxdUNydhE2n0xTozyv/nkY3m7OyC0qVY/PGNYSwT7ueOn3g6iqrGVK32h8s+UMnvh5L9qG+uC5xfvV9xvRPhjZhaXqMHYmPV+FBQcHB1iSvKJSyI8nP3tVVh5OrnB74/ELVQahZxcfwHfbzqBZkCeWzxyMmd/vxvpjF/DyhA7IzC+pEITkfUjPvRiO5H2zNQxCRERkMvLBKfU2Ib7uaOrjhiNJ2aohYnxanirErcr1PSLx085z+G7b2Sofn9gtAvM3xSMxq1CFIKEPQWL26hOXPadnx7XHqsMpSMgqxLsrjmJT+fSOhCNjEf4eqiC7qLRMjRbJz1BbEhr+OZyMqf1jqg0qdSWjPPd/s1NN83m6OuH+IS0R7u+B63pEVniehBljUvT9294EXNsl3HBfTmGJCkH6ka+75m83vB8v/HqwwtfLe3wuowC/7LrYUiCroESFoeZNvGArWCNERET1Mnv1cYx6b60q0J2z9gSu+WgDbvxsM0o0Zbjx0y2Y9MkmPPFTxYaIV8WG4IVrYvHhTV3x9vVdMLl7hOGx7tH+WHh3HwR5uSIywAPXdY9EVIBnjefh6+6MiV3D8fTYdvjtwQG4pU805k7pAU9XZ8wc2Vo9R+qOqtO7eaAKGOL9v+OqrCnSk+m3sR+uV0FDPLNonwp6Hf/7F679eIN6T6rrhr149zn899cD6v2pbX8jCUEiv1iDd/+Ow2M/7a2w0s240PnZce0M962PS63wnN/3Vvz5N1VT8xNaHgJ3ncnAsgNJFR4b9s4aNS1pKzgiREREV9TpeeupNBVOHB0dcCG3yDDSIwW6Mo0lTqbm4e9DyWoEQRgXPYtRsSG4vmeU4fajo9qo1U5uzo744d5+qn5l5/OjDI/LNI7U+Rjflg/jR0a2wSerj8PF2RHz7uiFbtEBhud0jvQ3XJf6F2dHB8N5eLg4oaBEowLZ/03sqKbkRsYGq8AmoyDfbz+rRogeGtHasALtbHoB3lp+BHHJOcgon0J6btF+9I4JxK4zmYbvte9cljqkyPi/42MrTLFJOPr3D3vVdZkmvLFX9GXfb3n/ZBSrKj/uOKtqe574eZ96P+W8xeTukfB2c8Gzi/dfMg0pXyMeGt4KH606XuXrtmjqhc4RfliyJwFrKwUpPfl/YFK3iiNS1opBiIiILmtHfLpqODi8XbAa6ZEpqud/PYA9L1x1SV2K1PLoVdWlefrgFmrKZULXiyNAIjLAE8sfGQwvNydDEa+x566ONdQPSS3L9T2ikJFfrEZwZgxrVePPIK//8S3d8foyXX3Rgrv6qMLgmCAvFehk9Eg/jSbFw/vPZ2HR7vPwcHVSRce7jYKOsZyiUjVCoufq7GgoWP5qUzzWHUvFhzd2Q6dIP3WfhCO9veeycGOvy9dV7Tmbibxijbr94LBW+Hj1xfDy9ebThusSOoWPu7MaSesSpft+O09nqJ/5ydHt1KidPhjd1q8ZQv3c8dziA+p2u1AfHCkvjr66U5gaRQMSsGjXxSX0xkFSwpytBCEHLXeyu6zs7Gz4+fkhKysLvr6+5j4dIqJGIXU9a+NS1HLq6+duNkwdyVJ0PRkxkYBUHRcnB5RoLn7EuLs44sgrY+t1Xo1RxCyrz7q+tKLKwuvLefyqNrhzYHM4OTrgqvfXGVafdQj3xR8PD1LX1x9LxW3/26autwr2RrCPG9qH+aqQ89ZfR1R90hOj26Kptxum/G8rtpzUvd/ju4Tjo5u7qeuFJRoMemt1hVCl968ekXjn+i5qZd2YD9fjePko2r9HtsH7/8Sp67JKbtfzo/DPoWTc/fUOQ/iRUbOjSdl49ur22BmfgVu+2Gp43RZNvLDskUF4/c8jKuCJLc+MUGHK2j+/OSJERGSn5AP/s7UncU2XMLQL1X1Q/HUwCb/vTUBKdhG2xV8MPcI4BAl9CHJ0AH66r5+aIpMP7gBPFzV1ZByCRHejaau6aoyVXL7uLugQ7qdGharTJsRbTefd980udVumBG/rG1M+kgKsfmwonluyXxWAS/G4THFJQfUJo+k9CSlySJ2OfC/9+7su7oKacjTWpXxESbi7OGHWTd1w8+dbLjmvZ8bq6oOknYC0I2j3/HJ1Wx+CxGuTOqnLQG9Xw30xTTwNo2KiX8sgNbqUU76irkOEH9ycnVSg0gch+f/HkoNQbTEIERHZqRkLd6mVRrIs/Zf7+6v77vtmJy43TyAjE29d1xkfrTqminOl1mZQ66bo0SwQC+/uq/r67D2XiZnf7zF8zeRuETgte1hN7Ahr0bdFYIUgtPiB/njv7ziczyjAt/f0hb+niwok/zw6RAXCbtH+KkDpyXSbBA6ZzpORm8mfbMSJ1OqXnhuHzMohSAxtG1zhtgSV+DeuViu4JFw9+cs+vHt9lwoNEeX85M9KHtN7fXIn1UtJBHpeDEI9mwVeEjhlqnLAG6vUbSlaF36eLuq61CPpQ5K1YxAiIrIQW0+mqRAxpW8zw8hCQ9Ivt5Y6EimilXqU6kLQgrt6q/46shRb6maeHHNxZZKeTAnFNPEyFEjr3T2ohSoMtiZSw/T5+lPq+t//HozWIT6qrqgymd6SoyoSJqSoXPonXS4EVWdMh1AsP5iEcZ1C0bJp1cvVZRm7HLtiLxaWG7uhV5QKTdJjSQqzpahaL8zfXU1vurk4YmDrJpd8bbifu5oSkz/3m3pdLGzXtweQpffSh8jaR4UYhIiIzEC2mJBRBfkgevLnfQj2dVfTUvIv/COJOXjvxq4m+T6yzUJVH1RplUYd5ByqExvmi4GtmtR6WqpdmE+F29bYc6ZjhB/e+ldnVfgsIaiuJnWLUEGoOsZFytJ3SWqgpDbph+l90bKpN46n5qJVU+96TQlGBXrii6mXVmXLVNeqx4egrAxVFqjL9/z+3r4oLC5DdNDF9gXSy0hI80X52W7tE616NA1p07TC3mSywm54uxCM7hCCFk2rDouWgEGIiKiRyYeEFCBLMbH00pHVScZkFCBvwQ71QVjVyEttybJrWSI9bUAM/ju+Q4UQJNM8tfHzff0QHeh5RR/E8gFrTEaQrNENRsv766p1eUG0NGisyr1DWmDexni13F7qe2TERkKJTGuJNvUIYXX5s6pMOnZXZjziJzVOsg9ZWl4x3pjcSbUvkIJw/RYn2+Mz1LYcJ18bp6YLLRGDEBFRI9PvqC7FxNIcrzJpmvfXQVkOnYyHR7Q2fChm5ZeoAtaaPlBkVEGWuOv7xMgHbZ/mgfhw5XHEBHmqDsiVC5mr0ismAD1jKtaO1NYrEzrg+V8P4urOYbBn8mf17T19kJpTjNVHUwx7q8koitQWjesUht7Ng9TO7pXrgCxVVsHF2qANxy9UWML/wm8HK+x3pif1ZPUZWWtIDEJERI3YjHDnmXQ1BaZnvLdTVbacTMNPO86pRoMyciRTVF/f2Vs9VlUgkim3h77breo6jOlXN+k3LtXrGuWvaoOMST2IjGJM6dcMdXVbvxi0DPY2rEazZ62CfdAqWLdsXYKQvOevlq/cEjI9Koe1yC6s+v9ZfffrqsxZc8Jk072mxj5C1Zg9e7Y6NBoN4uLi2EeIiOpEfsVKl2JZOv3LznOqAV99yRYUsmpHVvVIb57sglJVBxR/IQ9Xz1pvaMBXuX9MZdKd+fVJnQz9Ym7uHa26NcvSbFkdRKYnf0YBnq5W/f62fu7PWo0oypL/wpIyHE3W1UB1jND1SxrTMaxCcJc93aT9gKlbI9S2jxCDUA3YUJGI6tOUcPfZDNzy+cXGdJX3xqq883ldGY/syD5RsiLotr7N1HYLv+45j3dWHIWjg4Na7n5jryjVPE9GKKTwNfaFv9TXHXp5dKOsViPrtvJwMh7+brfafmTpvgSk5Rarqdiquog/ObotOr74lwpEelKELpvovntDF0yavUltdbLysSGqJs6UGIRMhEGIiOqiqFSDUe+tu2SKSk+WRN/eLwZ3fbVdFTJL3Y5MLUztF4MvN55CVKCH2tvqSsn2CtLnpm1o7esx9N2Hq1sGTlSZbEhrPDUrTTiPJGWr2jb9/0+y8q1PiyBMmL1RjfxUR9ouHH55jNqexJQYhEyEQYiIrrR+4tlF+xHm527oQ2NM+spI8z25NF5NJVsiyGocGaWRf10Hebui7X+WG5afy7L6mki3498eHGgoriYyh9NpeeofANJoU9w9f4cK+tWRvkQHXhpt8vPgFhtERI3owPkstUmmTBUsLV8VVpmXqxNmjmhdoSeLnmyJoO8KLBuJivdu6IKVh1PU7uiywaZsSHo4MUcVUMt2CLKlhewrJQ0Rk7MLcfeg5gxBZHbNgrzUYTwFXNPoqTkxCBER1VNeUSmu+WiDul7d6p8Pb+qq/oUsIz61JfU9coiZI1sb7tcP5N/erxl83F3URptE1urViRdX0JkDgxARUT1JMzy96nZjH90h1GSjNfrVNRKCiCydpooKHOk2/eltPVWob4yNdC+HQYiIqI5kc8w7v9peIQgZk9Gf58a1V/tvccqK7JVG9gypJDJANz1s7hAkGISIiOqwYka6BP+xP7HaEPT+jV1Ux2BrapRH1BAeHN5K/V2RFg+7z2Qa9q+zFAxCRERXQIbyX/jtAL7ZcqbC/Vd3ClO/7IX06pnUjXU7REK6i+/771Xq78Vd83dAVt1f2zUcloJBiIioBrKqRcocZDPM+77ZqfZUMjbn1u4Y2LqJ6tQ8Z+0JfDKlu9nOlcgS+ZTXs80v3x7GkjAIERFdRmGJBiPeXauuD2rdpEIIkt3jP7+9p2GzzEdHtcEdA2Kq3LGbiCwTgxARURXTX9K3p32YL/KLSw0rwWTPML2lDw1Uj0tXXONeQAxBRNaFQYiIyMjmE2m4+fMtl32OTIV1jPBrtHMiooZj2o09iIis2LZT6TWGoFcmdMDYThd3zyYi68YRISKya7I1xYpDybixZ5TaOLIqzo4OmDulB9Lzi9UeYURkOxiEiMguHEzIwhfrT2FK32j0aBZo2CC1z2sr1fX4C3nYHp+urr97fRd0iPBFiI873lh2RO3r1SXK36znT0QNg0GIiGxiefueM5noFROI0jIt3v7rCEo0Wvzn6vaqgFkKnq+epdsLbPHu82r395/u7YdZ/xwzvMb/Nuh2ipdGt72bByIqUNf59s1/dTbTT0VEjYFBiIis3ufrTuKdFXG4o38MYoI88fl6XagJ8nLF5pNp2HQircLzpbvtlxtP4Yvy8GPs2i7hhhBERLaPxdJEZLX7fMk2F7KP0WfrTqr7vtoUrw69d/+OqxCCrooNMVx/7c8jhutjOoQarg9t27QRzp6ILAVHhIjIKuQWlarQs2BzPJo38caiXeew8kjKJc+LT8uv8us7Rvjik1u743hqLsZ8sN5w/10Dm+P5a2LV6245lY6xHbkijMieMAgRkcU7npKLke/pujvXxtiOoWp11xvLj2Bq/xjEhvmgVbCPqheSfY8md4vAot3n4ePujPuGtFRfc1u/GHUQkX1x0EoLVapWdnY2/Pz8kJWVBV9fy9ktl8heyGquoe+suexzZDPHL6b2xK1fbFW3X53UEbf2aVbt8+XX3oXcYni6OsHLjf8eJLLnz2/+BqjG7Nmz1aHRaMx9KkR2SwLLw9/vrvbxiV3D8fLEjiguLUMTbzf8dF8//HM4Gf/qcflePw4ODmjq49YAZ0xE1oYjQjXgiBBR425wOuHjjQjxc0evZgGq2Nm4xuf3BweqEHM8JQcLNp/GzJFtEOjlatZzJiLLxBEhIrJI+n97SaCpfL9scXE0OUcd6+JSKyxpn3VzN8Ntqfd5aULHRjxrIrJVDEJE1Khe/O0gftubgD9nDkKYn4fhvqX7ElTdTmXSF0gaIxIRNQT2ESKiRpOSU4j5m08jI78Efx1IMowESe+fqkKQbG2x5olhCPZ1N8PZEpE94IgQETWaVYcv9v3JLizFJ2uOo7D40gUJ8+/srZbM39onupHPkIjsDYMQETWaDccvGK7PXn0cRaVlFR53cnTAyxM6YEibpuogImpoDEJEZHJZBSX4c3+i2gS1VbC3uu9sej72ncsyPKdyCLpzQHNVC+ToWLGImoioITEIEVG9ydYXJ1Jz0aqptwoyzy85oAqixf+m9sSWk2mGjVCrM6lbBEMQETU6BiEiqlcAKtGU4aXfD+G7bWfUpqbjOoUZQpC4a/6OCl8T4e+B85kFhtvS/LBHswB0ivRr1HMnIhIMQkRUJ5n5xbjpsy04kpRjuG/FoWR1iMgADxWSkrOLDI9LN+fXJ3fC7V9uM9z3zvVdGvnMiYguYhAioisi01yfrj2B1UcvNjysyme39VRdn9/+6ygGtArC5O4Xt72Y3D0Ci3adN9QPERGZC4MQEdUoIbMA+85lItDLDdPmbUdBycUl7xO6hmNsxzAMbdsULy89hDVHUnD/sFaIDde1tH/3hktHfP5vYkfEBHlhYteIRv05iIgq415jNeBeY2TvsvJLMOr9tUjJuTjFpXd15zC8e30XuLs4meXciIiqw73GiMgkFmyJvyQE/fnwIFX07OfpYrbzIiIyBQYhIqpSSnahWvG1/7yu90+Yn7sKRDf0jDRMexERWTsGISKq4KcdZ/HEz/sq3Ncpwg+LHuivmiB6u/HXBhHZ+aar8+fPxx9//GG4/eSTT8Lf3x/9+/fH6dOnTXl+RNRA/X/e/zsO/9uga3L4885z6PXqPxj2zppLQpCs7JKCZxcnR4YgIrI5dSqWbtu2LebMmYPhw4dj8+bNGDlyJN5//30sXboUzs7OWLRoEWwFi6XJ1uQWlaLvayvVpbh7YHN8UR6IjEkfoJ/u64cwPw8znCURkQUXS589exatWrVS15csWYLrrrsO06dPx4ABAzB06NC6nzURNaiUnEI8t/iAIQSJyiEoOtATn9zaHS2besPDlavBiMi21SkIeXt7Iy0tDdHR0VixYgUeffRRdb+7uzsKCi62ziciy1FYosH4jzZU6PRs7Jf7+yMjrxiD2jSBmzMDEBHZhzoFoVGjRuHuu+9Gt27dEBcXh3Hjxqn7Dx48iJiYGFOfIxGZgOwHZhyC5k7pDldnR3y86jiu6hCq9vsiIrI3dQpCs2fPxn/+8x81RfbLL78gKChI3b9z507cfPPNpj5HIrpC2YUlWH4gCdkFJWgZ7I2nf9lXIQSF+rqjT/MgBHi5Yni7ELOeKxGRObGzdA1YLE3WJqugBF1eWlHt48+Na4+7BzWHg4NDo54XEZElfn7Xafn88uXLsWHDhgojRF27dsUtt9yCjIyMup0xEdVrJ/hVR5JxODH7siFI3DWQIYiIqF5TY0888QTefPNNdX3//v147LHHVMH06tWr1eW8efPq8rJEdIUrwHbEZ6C4tAyP/LDnksfv6B+Dp8e2Q1peMTQaLbbHp6tpMkdHhiAionoFoVOnTiE2NlZdlxqha665Bq+99hp27dplKJwmooYb/ZFVXdfP3YzTaflVPufN6zrhxl7R6rrsCSaigzwb9TyJiGw2CLm6uiI/X/cL+J9//sHtt9+urgcGBqo5OSJqGGm5RRj6zhrkFF7sA6R375AWGNSqqer9wxVgREQNGIQGDhyopsCkgeK2bdvwww8/qPtlKX1kZGRdXpKIamHFoeRLQtB/rm6PcH8PjOsUZrbzIiKyVnUqlv7444/VVho///yz2mojIiJC3b9s2TKMGTPG1OdIRADKyrT4fN1Jdd3HzVktgf/4lm64e1ALhiAiojri8vkacPk8NfZmqE6VipkXbI7Hgi2n0T7MF7/uSVAhaNMzw+Hj7mK28yQisuu9xoRGo1H7jB0+fFjd7tChA6699lo4ObE1P1FtnM8swB/7EjC0bbDa12vGwl1YeSQZ8+7ojU6RfvhqYzzahnrj+V8PqufHJeeqy6HtghmCiIjMOSJ0/PhxtTrs/Pnzaid6cfToUURFReGPP/5Ay5YtYSs4IkQNZeqX27A2LhXBPm6qt8/ry47U6ut+vLcfejcPbPDzIyKyh8/vOgUhCUHyZQsXLlQrxYRswjplyhQ4OjqqMGQpZBuQ2267DSkpKaqu6fnnn8f1119f669nECJTk/Cz9WQaPllzotZfM31wC3QI94WHi5PaF4yIiMwYhLy8vLBlyxZ06tSpwv179+5VK8lyc3VD+JYgMTERycnJqvN1UlISevTooVa3yc9QGwxCZEr5xaXo/OIKlJZd+teuqY+bWgH2045z8HR1gpebMxbvPo9Wwd5Y8chgNkIkIrKUGiE3Nzfk5ORccr8EIOkxZEnCwsLUIUJDQ9GkSROkp6fXOggRmcKS3ecxZ80JJOcUVghBDw9vhU/XnURRaRmGtw3GhK4R6tB74ZpYtUM8QxARkQUtn5dO0tOnT8fWrVvVFJkcMkJ03333qYLpK7Fu3TqMHz8e4eHhav8jKcCuTPYyi4mJgbu7O/r06aN6F9XFzp07VZG31DIRNdaS96z8ErUFxtHkHGTml6j7ZQXYwrv74NGr2uKfR4fgo5u74dmr21/y9bI7vIwMERFRw6jTb9hZs2Zh6tSp6NevH1xcdKtXSkpKMGHCBHzwwQdX9Fp5eXno0qUL7rzzTkyePPmSx6VZozRvnDt3rgpB8vqjR49WxdnBwcHqOTLtVVp6aafdFStWqIAlZBRIOmB//vnnlz2foqIideixUzbVlfwD4e6vd2DVkZRLHlv60EDDMvmoQE91EBGRlfURktVj+uXz7du3R6tWrep3Mg4OWLx4MSZOnGi4T8JPr169VBNHUVZWpkZ0HnroITz99NO1el0JNqNGjcI999yjCqcv58UXX8RLL710yf2sEaIrdeB8Fq75aIO67u3mDNnwXbpCd4n0w68PDjT36RER2TST1wjJqMzlyM7zeu+99x5Mobi4WE1nPfPMM4b7ZFXayJEjsXnz5lq9huS8O+64A8OHD68xBAn5XsY/q7yRnEqjuvisvAu0FEGveXwonJ0c8M2WM+jbgkvfiYgsRa2D0O7du2s9qmMqFy5cUDU9ISEhFe6X20eO1K7nysaNG9X0WufOnQ31RwsWLLhkxZtxIbgcRHW1Li4VGfnFWLovQd2ed0cvQ52P9AsiIiIrDELGIz7WRDaIlek0ooa083Q6nl9yEIcSK9aUtQ3xQccIP7OdFxERXZ5FL0eRpe6yZYf0ATImt2UpPJGlrAx76NvdSMgqrHB/iK8b/m9SR7OdFxERNdDy+cYiPYmkAeLKlSsN98nojtyWFWtElmB7fHqFEDS0bVMcfGk0tjwzAr1iWA9ERGTJzD4iJE0YZfWZ3qlTp7Bnzx61dUd0dLQqXJal+j179kTv3r3V8nlZcj9t2rQGPS/pXSSH1CgRXc7CrWfU5fU9IvH29V3MfTpERNRYy+dNYc2aNRg2bNgl90v4+eqrr9R1WTr/9ttvqy0ypGeQ9DGSZfWNgVtsUHVOpubi2cX7seVkuloav+SBAegS5W/u0yIiIjTwXmP2hEGIKpO/Mi/8ehALtpw23Hfv4BZ4ZtylnaGJiMgG9xojsmefrz9pCEGdI/0wvnM4l8UTEVkpBiGiK3A4MRvv/31MXX9lQgfc1i/G3KdERES2umqMyJLsP5eFyZ9sQkGJBj2bBWBK32bmPiUiIqonBiGiWkjMKsDdX29XIah3TCA+u72nSbuoExGReTAIVUOWzsfGxqoNX8m+ZeYXY+qX25CcXYQ2Id743x09Eejlau7TIiIiE+CqsRpw1Zj9yisqxZT/bcXuM5mGTtE/39cfUYGe5j41IiIy0ec3R4SIqrHsQFKFEPT1nX0YgoiIbAxXjRFVQQZK52+KV9dv6hWFlyZ0gJuzk7lPi4iITIwjQmQXCoo1OJGai6JSTa2mxH7bm4D957Pg5eqEJ0a3ZQgiIrJRHBEim5eWW4QJszfiXEaBut0pwg9fTO2JEF/3S567+kgKpi/YgRKNrnTurkEtEOTt1ujnTEREjYMjQmQX22HoQ5CQkZ4nf953yXMPJmTh3m92GkLQ4DZN8eCwVo16vkRE1LgYhKrB5fO24atN8fhjfyJcnBzwwNCW8PNwUfevjUvF0n0JKijpvbHsCIpLy9S2GeueGIb503rB1Zl/RYiIbBmXz9eAy+etk/xv/fLSQ5i3UVfw/NK1HTC1v247jGcW7cd3286o682beGH2Ld2x60wG/rPkgApMqx4bytVhRERWjpuukl3762CSIQTd2icat/e7uB3G89e0h6asDD/uOIdTF/IwbtZ6w2O39mnGEEREZEc47k82R1OmNWyMeu+QFnh1UqcK22F4ujrjrX91weIH+iPC30Pd18TbFZO7R6gVYkREZD84IkQ256cdZ3E0OUfVA90/pGW1z+sWHYB1Tw5Dak6RapjIvcOIiOwPgxDZFJnqemP5EXX9oeGt4O95+T3BnBwdEOp36TJ6IiKyDwxCZDPF0TIKNOWLrcjML0GLJl64vZ+uOJqIiKg6DEJkE1794zC+2HBKXZcZrk+mdOfSdyIiqhGDEFm9Y8k5+N9GXQjq0SwAN/eORrtQtjogIqKaMQhdpqGiHBpNzXtTkXnNWXsC0g1rdIcQfHpbT3OfDhERWRHOHVRjxowZOHToELZv327uU6EaaoPWxaWq69MGNDf36RARkZVhECKrJnuIXcgtVh2hu0b5m/t0iIjIyjAIkVX7tnyrjG5RAXB3cTL36RARkZVhECKrdTQpB3PXnlDXpxhtoUFERFRbDEJkteasOa6KpEe2D8H4zmHmPh0iIrJCDEJkldLzivH7vkR1feaI1tweg4iI6oRBiKzS8gNJanPV2DBfdIr0M/fpEBGRlWIQIquz92wm3l1xVF2f2C3c3KdDRERWjA0Vyaos3HoaL/x6UI0GdQj35X5iRERULxwRqoZ0lY6NjUWvXr3MfSpULiGzAK8sPaRC0DWdw7Dw7j5cMk9ERPXioJXWvFSt7Oxs+Pn5ISsrC76+3L/KnB75fjeW7ElA7+aB+GF6XxZIExFRvT+/OSJEVuFkaq4KQZJ9XrgmliGIiIhMgkGIrMJPO8+py6FtmqJjBFeJERGRaTAIkcWTmqBFu3RB6MZeUeY+HSIisiEMQmTxNp24gOTsIvh7umB4uxBznw4REdkQBiGyeIt3nVeXslLM1Zn/yxIRkenwU4UsWlxyDpbu122lMalbpLlPh4iIbAyDEFmsQwnZuPmzLSguLcPAVk3QPdrf3KdEREQ2hp2lySIdOJ+FWz7fguzCUnSM8MVHN3fjknkiIjI5BiGyOCWaMjz8/W4Vgno0C8C8ab3g6+5i7tMiIiIbxKkxsijS6PyL9adwMjUPQV6u+PIOhiAiImo4DELV4F5j5rFgy2m8ufyIun7fkJbw82AIIiKihsO9xmrAvcYaty7oujmbUFRahmkDYriVBhER1Rn3GiOrklNYghnf7lIhaFjbpnj+aoYgIiJqeAxCZBFe/eMwTqflI8LfA+/f2BWOjgxBRETU8BiEyOxOpObixx1n1XUJQf6eruY+JSIishMMQmRWhSUavPDrAZRpgZHtg9G7eaC5T4mIiOwI+wiRWUiN/tHkHDz6w14cSsxWe4g9PbaduU+LiIjsDIMQmcWzi/fju2266TDpF/TRLd3QKtjH3KdFRER2hkGIGt3qoymGENSvRRDeu7ELwvw8zH1aRERkhxiEqFHJBqr/WXxAXb+1TzRendTJ3KdERER2jMXS1GA1QBJ6Klsbl4rzmQVo4u2G56+JNcu5ERER6XFEiEzueEoO7pq/A2fT8zGuUxi6RPojyNtVXX93xVH1nAldw+Hu4mTuUyUiIjvHLTZqwC02ar8MPi2vGCnZhbh7/g51vTq+7s5Y9fhQNSpERERkzs9vjghRvZRqyjDz+z34Y39ihftbB3vjweGtsOJgspoK23M20/DY7f1iGIKIiMgiMAhRnWXmF+OBhbuw6USauu3s6ACNVouWTb3x6W090KKpNyZ0jVCPJWYVYP6m06pf0EPDW5n5zImIiHQYhKhO8opKMfXLbdh7Lgtuzo54bVInTO6uCz1VbZYqy+PZMJGIiCwNg1A1Zs+erQ6NRmPuU7HI6bD7vtmpQpCM8Hx5Ry8MaNXE3KdFRER0xVgsXQMWS19K9gb7evNpeLg44Zu7e6NHM+4PRkREloXF0mRykplnrz6uQpDMfn1wU1eGICIismoMQlRr766Iw8erj6vrT45uh9EdQs19SkRERPXCIES18v22M4YQ9MzYdpg+uIW5T4mIiKjeGISoRgmZBXhl6SF1/ZGRrXHvkJbmPiUiIiKT4F5jVGNdkBRH5xVr0KNZAB4e3trcp0RERGQyDEJ0WYt2ncc/h1Pg4uSANyZ3gqPjpT2CiIiIrBWDEFVLNk39z5ID6vpDw1ujdYiPuU+JiIjIpBiEqNopsad+2YeCEg36NA/Eg8O4LQYREdkeBiGq0uqjKWoPMXcXR7x5XWdOiRERkU1iEKIqfbH+lLq8tU8zxDTxMvfpEBERNQgGIbrEurhUNRrk6uSIO/rHmPt0iIiIGgyDEFVQVqbFG8uOqOtT+jZDVKCnuU+JiIiowTAIUQW/70vAocRs+Lg548HhLJAmIiLbxiBEBpoyLWatPKauyxYagV6u5j4lIiKiBsUgRAY/7jiLE6l58HV3xh0DWBtERES2j0GIlKSsQvxf+X5iMiXm4+5i7lMiIiJqcAxCpLyx7LDaT6xbtD/uHsid5YmIyD4wCBHOZxbg932J6vrL13Zk80QiIrIbDEKErzfFq0Lp/i2D0CnSz9ynQ0RE1GgYhOxcXlEpvt12Rl2/a2Bzc58OERFRo2IQsnOLdp1DTmEpYoI8MaxtsLlPh4iIqFExCFVj9uzZiI2NRa9evWDLftl1Xl3e1i+GtUFERGR3GISqMWPGDBw6dAjbt29vtO9ZUKzBgs3xyMgrbpTvdzY9H3vOZsLBARjfOaxRvicREZElYRCyIC/9fhDP/3oQTy/a1yjf77e9Ceqyb/MgBPu6N8r3JCIisiQMQhZCq9Xi++1n1fW/DiYjp7CkQb+frBL7dquuSHpy94gG/V5ERESWikHIQqTmFFW4LVtdNKS1cSmqf5CfhwvGdwlv0O9FRERkqRiELER8Wn6F2ydSchv0+32zRTca9K8ekXB3cWrQ70VERGSpGIQsxJn0ikEoPi2vQYukVx9NUddv7RPdYN+HiIjI0jmb+wRI50Ju0WVvm5I0UNRqgQGtgtCiqXeDfR8iInMrKytDcXHjrMSlxuXi4gInp/rPaDAIWQj9knl3F0cUlpThQm5xg40Gzdt4Sl2/rW9Mg3wPIiJLIAHo1KlTKgyRbfL390doaCgcpA9MHTEIWYj08iDUJsQH+85lNciIkKxMe+HXAypo9WsRhNEdQkz+PYiILIH8vktMTFQjBlFRUXB0ZCWIrf355ufnIyVFV+YRFlb3XngMQhYiI18XhFoFezdYEFp2IAmrj6bC1ckR/zepY70SNBGRJSstLVUflOHh4fD09DT36VAD8PDwUJcShoKDg+s8TcaIbIEjQuJCjmmnxqQvkTRsFPcNaYGWrA0iIhum0WjUpaurq7lPhRqQPuSWlNS99x6DkIXIzNf9IbYO1gWUghIN8otLTfb6c9eeQHJ2kdpc9YFhrUz2ukRElowj37bNwQR/vgxCFiKvPPSE+LqrgmlTjgpJIfb8TafV9afHtmffICIionIMQhYir0g3jOvl5owgLzd1PdVEdUJfbjyF3KJSxIb5skCaiIjICIOQhVS/60eEvFyd0MRHF4TSTBCEysou7mH20PBWHCYmIrJx8nt+yZIl5j4Nq8EgZAFkObs0OBSebs5o6q0r7jNFL6FdZzLUPma+7s4Y0Z6jQUREluyOO+5QQUYOaRgYEhKCUaNG4csvv2Q/pAbCIGQB9KNBwsPFCb4eLup6tgl2oJcl82Jk+xC4OvOPm4jI0o0ZM0b1QIqPj8eyZcswbNgwzJw5E9dcc41qC0CmxU9GC5BfXh8kIcjJ0UHtCC+yCkrqPeW2vDwIje4YaoIzJSKy4gZ8xaVmOeR7Xwk3NzfVLTkiIgLdu3fHs88+i19//VWFoq+++uqKf/b9+/dj+PDhqu9OUFAQpk+fjtzcixt7r1mzBr1794aXl5fq1DxgwACcPq1bYLN3714VxHx8fODr64sePXpgx44dsCVsqGgBDPVBbrrVXL7u5SNC9QxCR5NzcD6zQAWswa2bmuBMiYisk7QkiX3hL7N870Mvj4ana/0+biXIdOnSBYsWLcLdd99d66/Ly8vD6NGj0a9fP2zfvl01H5Svf/DBB1WoKi0txcSJE3HPPffgu+++U9uSbNu2zVBPeuutt6Jbt26YM2eOali4Z88eNWVnSxiELIC+X5D+L4qpRoS2nUpXlz1jAuDhyiXzRETWrF27dti3b98Vfc23336LwsJCfP3112rER3z88ccYP3483nzzTRVqsrKy1LRby5Yt1ePt27c3fP2ZM2fwxBNPqO8tWrduDVvDIGRBS+c9y8PKxRqh+s0Fby0PQn2aB9b7HImIrJmMjMvIjLm+tynIFNuVrvw9fPiwGknShyAhU19SeH306FEMHjxYFWjLqJEUZY8cORI33HCDYe+uRx99VI0gLViwQD12/fXXGwKTrWCNkAWNCHm7mW5ESP7CbD2pC0K9mweZ5DyJiKyVBAgZdTfHYaq2JRJqmjdvDlObN28eNm/ejP79++OHH35AmzZtsGXLFvXYiy++iIMHD+Lqq6/GqlWrEBsbi8WLF8OWMAhZ0ohQeRCSpe4ipx5B6OSFPLVxq6wU6xzpZ6IzJSIic5AQIkXP11133RV9nUxzScGz1Arpbdy4EY6Ojmjbtq3hPqkDeuaZZ7Bp0yZ07NhRTanpSTD697//jRUrVmDy5MkqONkSBiELGhGSZorCz7P+I0JbTqapy+7R/txSg4jIihQVFSEpKQnnz5/Hrl278Nprr2HChAmqjuf222+/oteSYmd3d3dMnToVBw4cwOrVq/HQQw/htttuUz2KTp06pQKQjAjJSjEJO8eOHVMBqqCgQBVVy6oyeUwClBRcG9cQ2QLWCFmAvGJ9jZB+ROhiH6G6zAmLLeXTYn1bcFqMiMiaLF++XNXoODs7IyAgQNX4zJo1S4UZGcm50t3Z//rrL9WHqFevXuq2jCq99957hsePHDmC+fPnIy0tTX3fGTNm4N5771UryuQ+CV/Jyclo0qSJGhF66aWXYEsYhCxAXlHF5fP6GqESjVZ1na5uxZdsnzFvUzwSMwvw8MjWhgAl4WnzCd2IEIMQEZH1kCXtdekVZKxy36JOnTqpqbWqhISEVFvz4+rqqpbU2zoGIYtaNeZsWD0mjRU1ZVo1PVZdEPp55zm8svSQoWfQ13f2VqNHJ1Iv1gd1jfJvxJ+EiIjIurBGyAJrhCTM+NVim42fduo2UxXrj13AikPJ6vqGY6nqkvVBRES2ZeHChfD29q7y6NChg7lPzypxRMiSaoTKV43pV46l5xVXWzBdoinDvnNZ6vq4TqH4c38S3l1xVO0ptnRforpfrhMRke249tpr0adPnyofs7WOz42FQcgMZP72j/2JSM4uwk29opCvrxEymgIz9BLKrzoIHUnMQVFpmXre65M6Y8OxC4hLzsWcNcex43QGpL76ms7hjfQTERFRY5A9v+Qg0+HUmBnI1Nezi/ar+p6EzALDXmMVRoTKg1BOUdVBaM/ZDHXZJcpfLbe/d4iu0+c7K+LUZb8WQQj1c2/wn4WIiMiaMQiZSYivLqSk5BQhv3xqzHhE6OLGq1Vvs7G3fFpMXww9bUAMYoI81XVXJ0c8O862+jwQERE1BJufGsvMzFT7o0g/BDmkl4Lssmtuwb5uOJaSi+TsQqPl88YjQs6X3YH+1AVdl9A2Id6GFWc/3dcfP+44i+7RAegYwW7SREREsPcgJHOp69atU02jpMW4tA6XhlBBQebtrxPsU9WIkHGx9OVXjZ1Oy1eXMUEXN9Jr6uOGGcNaNeRpExER2RSbnxpzcnJSIUjftlwKlSs3mzLXiJBIyS4yjAh5ljdUrLADfRVTY7lFpapPkIgunw4jIiIiKwxCMlozfvx4hIeHqyLiJUuWXPKc2bNnIyYmRu2XIssGt23bdsXTY9KiPDIyEk888YRqE25u+hGh5JzCakaEnKsdETpTPhoU4OliGDkiIiIyJp+bH3zwgUlea82aNeozWj5PbY3Zg5BMV0lIkbBTlR9++AGPPvoo/vvf/6rN5+S5o0ePRkpKiuE5Xbt2VVNelY+EhAT1uL+/v9p9VzaXkx11Zc+U6sioUXZ2doWjIQT76EaEzmUUoLRMW/2IUFVBKF1XH9TMaFqMiIis39ChQ/HII4+Y5LVkg9Tp06eb5LVsmdlrhMaOHauO6sjGcFLcPG3aNHV77ty5+OOPP/Dll1/i6aefVvft2bOnVt9L9lSRILV+/Xr861//qvI5r7/+eqNsKKdfNXYqNddwn6dL7VaN6euDmnFajIjIrkhph0ajURuy1qRp06aNck7WzuwjQpdTXFyMnTt3qlVferLzrtzevHlzrV5DRn9ycnLU9aysLDUV17Zt22qf/8wzz6jn6Y+zZy9uY9EQI0LZhbqg4+bsCGcnx0tXjVUxInQ2QxeEogIYhIiIakVqQ4vzzHPUsi71jjvuwNq1a/Hhhx+qaSg5ZANWuVy2bBl69OgBNzc3bNiwASdOnMCECRPUP/Blew3ZWf6ff/657NSYvM4XX3yBSZMmqdrZ1q1b47fffqvzW/rLL7+obT3knOR7vfvuuxUe/+STT9T3kLIWOU/jAYiff/5ZbQbr4eGhFi/J57rMENnliNDlXLhwQSVfeQONye0jR47U6jVOnz6thgb1RdIPPfSQevOrI3+gcjRWsbSe8dL5iiNClwahpCxdoXSYPxsmEhHVSkk+8JqZuu0/mwC41lzKIAEoLi5OlXa8/PLL6r6DBw+qS5kBeeedd9CiRQsEBASof6SPGzcOr776qvrM+vrrr1W97dGjRxEdHV3t95AZj7feegtvv/02PvroI9x6663qczIwMPCKfiQZpLjhhhvw4osv4sYbb8SmTZvwwAMPqFAjgW7Hjh14+OGHsWDBAvTv3x/p6elqNkYkJibi5ptvVuchoUwGK+Qxcy1ksuggZAq9e/eu9dRZY5K+P4Fermo/MeFlVB9UsUaoVP3PIUleT3oPidDy6TUiIrJ+fn5+cHV1VaM1oaGh6j79P/olGI0aNcrwXAkuUuqh98orr2Dx4sVqhOfBBx+s9ntISJEQIl577TXMmjVLLUAaM2bMFZ2rlK2MGDECzz//vLrdpk0bHDp0SAUs+R5nzpyBl5cXrrnmGtXGplmzZujWrZshCElfP2llI/eLyw1Q2HUQktVdsvy9cnGz3Nb/T2LNogI9DUHI38O1yhEhTZlWrSozHjFKzCqsUGdEREQ1cPHUjcyY63vXU8+ePSvczs3NVaMxUjOrDxYFBQUqgFxO586dDdclqPj6+lZYfFRbhw8fVlNzxgYMGKCm4mQmR0KbhBwZwZKQJYd+Sk4CnIQoCT+y+Omqq65S02Yy0mUOFl0jJMlY5kRXrlxpuK+srEzd7tevH6xddKDnJZus6rm7OMLFyeGSOqHi0jKk5ZVPjXEvMSKi2pFRdZmeMsdhNKJfVxJajD3++ONqBEhGdWRaSWY+JFhIbe3lVN6h3sHBQX2umpqMAslK7++++w5hYWF44YUXVACS5fcywPH333+ruqfY2Fg1RSe1u7Ky2y6DkKRa+QPUT1/JGyHX9alWls5//vnnmD9/vkqg999/vyqo0q8iayiynF/+gKQAraE0b3Lxf2zZOLXy/5xVrRxLySlUdXeyn5hMrRERke2QAQAZUanJxo0b1RSUjLJIAJJZkvj4eDSW9u3bq3OofE4yRSZBR8jKNimCllqgffv2qfNbtWqV4TNORpCkZmn37t3q55ZgZ5dTY1JQNWzYMMNtCT5i6tSpqlpeirBSU1NVmkxKSlI9g5YvX35JAbWpzZgxQx3SR0jmbRtCbJiv4bp/pREhfZ1QWl5xhREhfX2QFFsb1w0REZH1k9VXW7duVaFBVoNVN1ojq7EWLVqkCqTls0BqdRpiZKc6jz32mBookNok+ZyWldwff/yxWikmli5dipMnT2Lw4MFqyuvPP/9U5ycjP/LzycyOTIkFBwer2/I5L+HKLoOQNI+qqVJcCr8uV/xlrTpFXgxYVb0Dhu7SRivH9PVBnBYjIrI9MuUlAwEyIyE1P/Pmzau2WPnOO+9UK7Kknvapp55qsAbAVenevTt+/PFHNUghYUimv6SgW0ap9I2MJahJHVNhYaEKbjJNJsvtZXZHWtlIPZGcs9QSydL7y/UUtOkgZM8i/D0M16sKg1V1l05ioTQRkc2SqaXKffL04aLyyJF+mklPZjGMVZ4qq+pzJrOWW2ZUNWhx3XXXqaMqAwcOVNtyVEVGfmRmx1KYvUbI3i24qzcGtArCQ8NbX/JYVTVC+hGhcKMQRURERHXDIGRmg1o3xcK7+1YZbAzdpY2mxhIyC9Qlp8aIiMhU7rvvPlWTVNUhj9kyTo1dZtWYHLWp3m8ohhEho6mxBI4IERGRib388suqPqkq0mvIljEImXHVWE0MNUJGU2P6EaFwPwYhIiIyjeDgYHXYI06NWTD9qrHMAl2DrKJSDVJzdM0Uw7nPGBERUb0xCFmwgPKGiRl5uqmx5PLNVmWnejZTJCIiqj8GIQumDzv6LTUSssqnxfw92EyRiIjIBBiELFiQl5u61G/MyhVjREREpsUgZMECvHTF0pkFJWoXevYQIiIiMi0GIQsW4KmbGpNmnpn5xThvWDHGESEiIlskHZwfeeSRWj1XOkdLmYR+03JTvKaQjtDyurXpOi17gsp2GtaMy+ctuI+Qi5Mjgrxc1carydlFSNQHIY4IERHZJNmfy8Xl0k24qxIVFYXExES115g+wMgm5hkZGRXCyZW8pj3iiFA1pIfQoUOHsH37drOeR2j56E9SdgHOpOer6wxCRES2KTAwED4+PrV6rpOTE0JDQ+Hs7Gyy17RHDEIWLqy8cWL8hXzEp+mCUNtQ/g9NRHQlZMPQ/JJ8sxxVbXZam2ks2Vj1tddeU7vMS5CJjo7GZ599VuXUmFyX0SAREBCg7tdv1lp5amzBggXo2bOnes3Q0FDccsstSElJMdl7PWfOHLRs2RKurq5o27at+n568l7IjvTys7i5uSE8PBwPP/yw4fFPPvlE7VTv7u6OkJAQ/Otf/0JD49SYhdOvEFt/LFUVTPt7uiDYR7eajIiIaqegtAB9vu1jlu+99Zat8HTxrNPXvvvuu3jllVfw7LPP4ueff8b999+PIUOGqIBReZrsl19+UbvBHz16VG2L4eFR9exBSUmJek15jZSUFDz66KMqNP3555+or8WLF2PmzJn44IMPMHLkSCxduhTTpk1DZGSkCmpyju+//z6+//57dOjQAUlJSdi7d6/62h07dqhQJMGpf//+SE9Px/r169HQGIQsXHSg7i/P6qOp6rJdqA97CBER2Ylx48bhgQceUNefeuopFSJWr159SRCSaTKZAhOyVcblCphlhEmvRYsWmDVrFnr16oXc3Fy1yWp9vPPOOypU6c9ZQtaWLVvU/RKEzpw5o0ahJCRJ3ZKMDPXu3Vs9Vx7z8vLCNddco0armjVrhm7duqGhMQhZuFYhFf+nbBdq25vfERE1BA9nDzUyY67vXVedO3c2XJd/BEuIqO801s6dO9X0lIzEZGRkoKyszBBEYmNj6/Xahw8fxvTp0yvcN2DAAHz44Yfq+vXXX69GiySAjRkzRgW98ePHqzqnUaNGqfCjf0yOSZMmwdOzbqNptcUaIQvXJqRiPVBsGIMQEdGVkhAh01PmOOozil95tZe8lj641EVeXh5Gjx6tps4WLlyoFgTJdJYoLtY1721IMoUnU3dSCyRTdzJyNHjwYDVdJ6NAu3btwnfffYewsDC88MIL6NKlS62W8dcHg5CFk55B+ukxMTI2xKznQ0RElkmKk8Xl2r4cOXIEaWlpeOONNzBo0CC0a9fOpIXS7du3x8aNGyvcJ7eNR5okAMkokEzJyZL/zZs3Y//+/eoxGRmSabO33noL+/btU0Xgq1atQkPi1JgF9xHSp/9nx7XHW8uP4L4hLbnZKhERVUmmleQzQwqUZcpJAkflmh+pyZHA9NFHH+G+++7DgQMHVOG0qTzxxBO44YYbVG2PBJrff/9d9TH6559/DA0Y5XO1T58+asrrm2++Uecp5y7nffLkSTVCJCvfpHhbRr8q10OZGkeELLyPkBjTMRSrHh+KG3pFmftUiIjIQkVEROCll17C008/rZaeP/jgg5c8p2nTpiqM/PTTT2qU5o033lCFzKYyceJEVQ8krymrwj799FPMmzdPLeEXUsT9+eefq7ohqX+SgCRhKSgoSD0moWn48OFqZGnu3LlqmkxepyE5aK+kwYEdys7Ohp+fH7KystScKhERWb7CwkKcOnUKzZs3Vz1pyP7+nLNr+fnNESEiIiKyWwxCREREVKWxY8eqOqOqDul6bQtYLE1ERERV+uKLL1BQoNvwuzJ9A0drxyBERERE1RZg2zpOjRERkc3ieiDbpjXBny+DEBER2RzZe6uxuiWT+eTn51fZgftKcGqMiIhsjnQoloZ9qamp6kPS0ZH/7re1kaD8/HzVFVv6D+mDb10wCBERkc2RDsuyX5X0mDl9+rS5T4caiIQg2Yi2PhiELHyLDSIiqhvZSqJ169acHrNRLi4u9RoJ0mNn6RqwszQREZH1YWdpIiIiohowCBEREZHdYhAiIiIiu8Vi6RroS6hkrpGIiIisg/5zu6ZSaAahGuTk5KjLqKgoc58KERER1eFzXIqmq8NVYzUoKytDQkICfHx8VF8KUyZVCVdnz57larQGxPe58fC9bhx8nxsP32vrfp8l3kgICg8Pv2xDTY4I1UDevMjIyAZ7fflD51+whsf3ufHwvW4cfJ8bD99r632fLzcSpMdiaSIiIrJbDEJERERktxiEzMTNzQ3//e9/1SU1HL7PjYfvdePg+9x4+F7bx/vMYmkiIiKyWxwRIiIiIrvFIERERER2i0GIiIiI7BaDEBEREdktBiEzmT17NmJiYuDu7o4+ffpg27Zt5j4lq/H666+jV69eqtt3cHAwJk6ciKNHj1Z4TmFhIWbMmIGgoCB4e3vjuuuuQ3JycoXnnDlzBldffTU8PT3V6zzxxBMoLS1t5J/Gerzxxhuqu/ojjzxiuI/vs+mcP38eU6ZMUe+lh4cHOnXqhB07dhgel3UtL7zwAsLCwtTjI0eOxLFjxyq8Rnp6Om699VbVlM7f3x933XUXcnNzzfDTWCaNRoPnn38ezZs3V+9hy5Yt8corr1TYi4rvc92sW7cO48ePV12c5ffEkiVLKjxuqvd13759GDRokPrslG7Ub731Vh3PuOLJUSP7/vvvta6urtovv/xSe/DgQe0999yj9ff31yYnJ5v71KzC6NGjtfPmzdMeOHBAu2fPHu24ceO00dHR2tzcXMNz7rvvPm1UVJR25cqV2h07dmj79u2r7d+/v+Hx0tJSbceOHbUjR47U7t69W/vnn39qmzRpon3mmWfM9FNZtm3btmljYmK0nTt31s6cOdNwP99n00hPT9c2a9ZMe8cdd2i3bt2qPXnypPavv/7SHj9+3PCcN954Q+vn56ddsmSJdu/evdprr71W27x5c21BQYHhOWPGjNF26dJFu2XLFu369eu1rVq10t58881m+qksz6uvvqoNCgrSLl26VHvq1CntTz/9pPX29tZ++OGHhufwfa4b+bv93HPPaRctWiSpUrt48eIKj5vifc3KytKGhIRob731VvX7/7vvvtN6eHhoP/30U219MAiZQe/evbUzZsww3NZoNNrw8HDt66+/btbzslYpKSnqL97atWvV7czMTK2Li4v6Jad3+PBh9ZzNmzcb/tI6Ojpqk5KSDM+ZM2eO1tfXV1tUVGSGn8Jy5eTkaFu3bq39+++/tUOGDDEEIb7PpvPUU09pBw4cWO3jZWVl2tDQUO3bb79tuE/efzc3N/VhIA4dOqTe++3btxues2zZMq2Dg4P2/PnzDfwTWIerr75ae+edd1a4b/LkyeqDVfB9No3KQchU7+snn3yiDQgIqPC7Q/7utG3btl7ny6mxRlZcXIydO3eqYUHj/czk9ubNm816btYqKytLXQYGBqpLeX9LSkoqvMft2rVDdHS04T2WS5l6CAkJMTxn9OjRavO/gwcPNvrPYMlk6kumtozfT8H32XR+++039OzZE9dff72aPuzWrRs+//xzw+OnTp1CUlJShfda9lCSaXXj91qmE+R19OT58vtl69atjfwTWab+/ftj5cqViIuLU7f37t2LDRs2YOzYseo23+eGYar3VZ4zePBguLq6Vvh9IqURGRkZdT4/brrayC5cuKDmqY0/GITcPnLkiNnOy1qVlZWpmpUBAwagY8eO6j75Cyd/UeQvVeX3WB7TP6eqPwP9Y6Tz/fffY9euXdi+ffslj/F9Np2TJ09izpw5ePTRR/Hss8+q9/vhhx9W7+/UqVMN71VV76Xxey0hypizs7P6BwLfa52nn35ahXAJ7E5OTup38auvvqrqUgTf54ZhqvdVLqW+q/Jr6B8LCAio0/kxCJHVj1YcOHBA/auOTOvs2bOYOXMm/v77b1WYSA0b6OVfwq+99pq6LSNC8v/13LlzVRAi0/jxxx+xcOFCfPvtt+jQoQP27Nmj/iElBb58n+0Xp8YaWZMmTdS/RCqvrJHboaGhZjsva/Tggw9i6dKlWL16NSIjIw33y/soU5CZmZnVvsdyWdWfgf4x0k19paSkoHv37upfZnKsXbsWs2bNUtflX2J8n01DVtLExsZWuK99+/ZqxZ3xe3W53xtyKX9exmR1nqzE4XutIysWZVTopptuUlO2t912G/7973+rlaiC73PDMNX72lC/TxiEGpkMdffo0UPNUxv/a1Bu9+vXz6znZi2kFk9C0OLFi7Fq1apLhkrl/XVxcanwHsscsnyo6N9judy/f3+Fv3gy8iHLNit/INmrESNGqPdI/tWsP2TUQqYR9Nf5PpuGTO1WbgEhdSzNmjVT1+X/cflFb/xeyxSP1E4Yv9cSSiXA6snfD/n9IrUYBOTn56uaE2PyD1N5jwTf54ZhqvdVniPL9KU20fj3Sdu2bes8LabUq9Sa6rx8Xqrlv/rqK1UpP336dLV83nhlDVXv/vvvV8sw16xZo01MTDQc+fn5FZZ1y5L6VatWqWXd/fr1U0flZd1XXXWVWoK/fPlybdOmTbmsuwbGq8YE32fTtSdwdnZWy7uPHTumXbhwodbT01P7zTffVFh+LL8nfv31V+2+ffu0EyZMqHL5cbdu3dQS/A0bNqjVfva+rNvY1KlTtREREYbl87LUW9o5PPnkk4bn8H2u++pSaZEhh0SL9957T10/ffq0yd5XWWkmy+dvu+02tXxePkvl7wmXz1upjz76SH2ASD8hWU4vfROoduQvWVWH9BbSk79cDzzwgFpqKX9RJk2apMKSsfj4eO3YsWNVHwr5ZfjYY49pS0pKzPATWW8Q4vtsOr///rsKjfKPpHbt2mk/++yzCo/LEuTnn39efRDIc0aMGKE9evRoheekpaWpDw7pjSMtCqZNm6Y+oEgnOztb/f8rv3vd3d21LVq0UL1vjJdj832um9WrV1f5e1nCpynfV+lBJK0m5DUk1ErAqi8H+U/dx5OIiIiIrBdrhIiIiMhuMQgRERGR3WIQIiIiIrvFIERERER2i0GIiIiI7BaDEBEREdktBiEiIiKyWwxCREREZLcYhIiIrsCaNWvg4OBwyWazRGSdGISIiIjIbjEIERERkd1iECIiq1JWVobXX38dzZs3h4eHB7p06YKff/65wrTVH3/8gc6dO8Pd3R19+/bFgQMHKrzGL7/8gg4dOsDNzQ0xMTF49913KzxeVFSEp556ClFRUeo5rVq1wv/+978Kz9m5cyd69uwJT09P9O/fH0ePHm2En56ITI1BiIisioSgr7/+GnPnzsXBgwfx73//G1OmTMHatWsNz3niiSdUuNm+fTuaNm2K8ePHo6SkxBBgbrjhBtx0003Yv38/XnzxRTz//PP46quvDF9/++2347vvvsOsWbNw+PBhfPrpp/D29q5wHs8995z6Hjt27ICzszPuvPPORnwXiMhUuPs8EVkNGakJDAzEP//8g379+hnuv/vuu5Gfn4/p06dj2LBh+P7773HjjTeqx9LT0xEZGamCjgSgW2+9FampqVixYoXh65988kk1iiTBKi4uDm3btsXff/+NkSNHXnIOMuok30POYcSIEeq+P//8E1dffTUKCgrUKBQRWQ+OCBGR1Th+/LgKPKNGjVIjNPpDRohOnDhheJ5xSJLgJMFGRnaEXA4YMKDC68rtY8eOQaPRYM+ePXBycsKQIUMuey4y9aYXFhamLlNSUkz2sxJR43BupO9DRFRvubm56lJGbyIiIio8JrU8xmGorqTuqDZcXFwM16UuSV+/RETWhSNCRGQ1YmNjVeA5c+aMKmA2PqSwWW/Lli2G6xkZGWq6q3379uq2XG7cuLHC68rtNm3aqJGgTp06qUBjXHNERLaLI0JEZDV8fHzw+OOPqwJpCSsDBw5EVlaWCjK+vr5o1qyZet7LL7+MoKAghISEqKLmJk2aYOLEieqxxx57DL169cIrr7yi6og2b96Mjz/+GJ988ol6XFaRTZ06VRU/S7G0rEo7ffq0mvaSGiMisi0MQkRkVSTAyEowWT128uRJ+Pv7o3v37nj22WcNU1NvvPEGZs6cqep+unbtit9//x2urq7qMXnujz/+iBdeeEG9ltT3SHC64447DN9jzpw56vUeeOABpKWlITo6Wt0mItvDVWNEZDP0K7pkOkwCEhFRTVgjRERERHaLQYiIiIjsFqfGiIiIyG5xRIiIiIjsFoMQERER2S0GISIiIrJbDEJERERktxiEiIiIyG4xCBEREZHdYhAiIiIiu8UgRERERLBX/w+mBbQ7US8u2QAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"trainer_metrics = trainer.callbacks[0].metrics\n",
"for metric, loss in trainer_metrics.items():\n",
" plt.plot(range(len(loss)), loss, label=metric)\n",
"# plotting\n",
"plt.xlabel(\"epoch\")\n",
"plt.ylabel(\"loss\")\n",
"plt.yscale(\"log\")\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"id": "c2a5c405",
"metadata": {},
"source": [
"Notice that the loss on the boundaries of the spatial domain is exactly zero, as expected! After the training is completed one can now plot some results using the `matplotlib`. We plot the predicted output on the left side, the true solution at the center and the difference on the right side using the `plot_solution` function."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "c086c05f",
"metadata": {},
"outputs": [],
"source": [
"@torch.no_grad()\n",
"def plot_solution(solver, time):\n",
" # get the problem\n",
" problem = solver.problem\n",
" # get spatial points\n",
" spatial_samples = problem.spatial_domain.sample(30, \"grid\")\n",
" # get temporal value\n",
" time = LabelTensor(torch.tensor([[time]]), \"t\")\n",
" # cross data\n",
" points = spatial_samples.append(time, mode=\"cross\")\n",
" # compute pinn solution, true solution and absolute difference\n",
" data = {\n",
" \"PINN solution\": solver(points),\n",
" \"True solution\": problem.solution(points),\n",
" \"Absolute Difference\": torch.abs(\n",
" solver(points) - problem.solution(points)\n",
" ),\n",
" }\n",
" # plot the solution\n",
" plt.suptitle(f\"Solution for time {time.item()}\")\n",
" for idx, (title, field) in enumerate(data.items()):\n",
" plt.subplot(1, 3, idx + 1)\n",
" plt.title(title)\n",
" plt.tricontourf( # convert to torch tensor + flatten\n",
" points.extract(\"x\").tensor.flatten(),\n",
" points.extract(\"y\").tensor.flatten(),\n",
" field.tensor.flatten(),\n",
" )\n",
" plt.colorbar(), plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"id": "910c55d8",
"metadata": {},
"source": [
"Let's take a look at the results at different times, for example `0.0`, `0.5` and `1.0`:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "0265003f",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1200x600 with 6 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1200x600 with 6 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1200x600 with 6 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12, 6))\n",
"plot_solution(solver=pinn, time=0)\n",
"\n",
"plt.figure(figsize=(12, 6))\n",
"plot_solution(solver=pinn, time=0.5)\n",
"\n",
"plt.figure(figsize=(12, 6))\n",
"plot_solution(solver=pinn, time=1)"
]
},
{
"cell_type": "markdown",
"id": "35e51649",
"metadata": {},
"source": [
"The results are not so great, and we can clearly see that as time progresses the solution gets worse.... Can we do better?\n",
"\n",
"A valid option is to impose the initial condition as hard constraint as well. Specifically, our solution is written as:\n",
"\n",
"$$ u_{\\rm{pinn}} = xy(1-x)(1-y)\\cdot NN(x, y, t)\\cdot t + \\cos(\\sqrt{2}\\pi t)\\sin(\\pi x)\\sin(\\pi y), $$\n",
"\n",
"Let us build the network first"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "33e43412",
"metadata": {},
"outputs": [],
"source": [
"class HardMLPtime(torch.nn.Module):\n",
"\n",
" def __init__(self, input_dim, output_dim):\n",
" super().__init__()\n",
"\n",
" self.layers = torch.nn.Sequential(\n",
" torch.nn.Linear(input_dim, 40),\n",
" torch.nn.ReLU(),\n",
" torch.nn.Linear(40, 40),\n",
" torch.nn.ReLU(),\n",
" torch.nn.Linear(40, output_dim),\n",
" )\n",
"\n",
" # here in the foward we implement the hard constraints\n",
" def forward(self, x):\n",
" hard_space = (\n",
" x.extract([\"x\"])\n",
" * (1 - x.extract([\"x\"]))\n",
" * x.extract([\"y\"])\n",
" * (1 - x.extract([\"y\"]))\n",
" )\n",
" hard_t = (\n",
" torch.sin(torch.pi * x.extract([\"x\"]))\n",
" * torch.sin(torch.pi * x.extract([\"y\"]))\n",
" * torch.cos(\n",
" torch.sqrt(torch.tensor(2.0)) * torch.pi * x.extract([\"t\"])\n",
" )\n",
" )\n",
" return hard_space * self.layers(x) * x.extract([\"t\"]) + hard_t"
]
},
{
"cell_type": "markdown",
"id": "5d3dc67b",
"metadata": {},
"source": [
"Now let's train with the same configuration as the previous test"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "f4bc6be2",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"GPU available: True (mps), used: False\n",
"TPU available: False, using: 0 TPU cores\n",
"HPU available: False, using: 0 HPUs\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Epoch 999: 100%|██████████| 1/1 [00:00<00:00, 58.13it/s, v_num=3, g1_loss=2.02e-15, g2_loss=0.000, g3_loss=0.000, g4_loss=2.01e-15, initial_loss=0.000, D_loss=6.88e-8, train_loss=6.88e-8]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"`Trainer.fit` stopped: `max_epochs=1000` reached.\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Epoch 999: 100%|██████████| 1/1 [00:00<00:00, 48.30it/s, v_num=3, g1_loss=2.02e-15, g2_loss=0.000, g3_loss=0.000, g4_loss=2.01e-15, initial_loss=0.000, D_loss=6.88e-8, train_loss=6.88e-8]\n"
]
}
],
"source": [
"# define model\n",
"model = HardMLPtime(len(problem.input_variables), len(problem.output_variables))\n",
"\n",
"# crete the solver\n",
"pinn = PINN(problem=problem, model=model)\n",
"\n",
"# create trainer and train\n",
"trainer = Trainer(\n",
" solver=pinn,\n",
" max_epochs=1000,\n",
" accelerator=\"cpu\",\n",
" enable_model_summary=False,\n",
" train_size=1.0,\n",
" val_size=0.0,\n",
" test_size=0.0,\n",
" callbacks=[MetricTracker([\"train_loss\", \"initial_loss\", \"D_loss\"])],\n",
")\n",
"trainer.train()"
]
},
{
"cell_type": "markdown",
"id": "a0f80cb8",
"metadata": {},
"source": [
"We can clearly see that the loss is way lower now. Let's plot the results"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "019767e5",
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
"<Figure size 1200x600 with 6 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1200x600 with 6 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1200x600 with 6 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12, 6))\n",
"plot_solution(solver=pinn, time=0)\n",
"\n",
"plt.figure(figsize=(12, 6))\n",
"plot_solution(solver=pinn, time=0.5)\n",
"\n",
"plt.figure(figsize=(12, 6))\n",
"plot_solution(solver=pinn, time=1)"
]
},
{
"cell_type": "markdown",
"id": "b7338109",
"metadata": {},
"source": [
"We can see now that the results are way better! This is due to the fact that previously the network was not learning correctly the initial conditon, leading to a poor solution when time evolved. By imposing the initial condition the network is able to correctly solve the problem."
]
},
{
"cell_type": "markdown",
"id": "61195b1f",
"metadata": {},
"source": [
"## What's next?\n",
"\n",
"Congratulations on completing the two dimensional Wave tutorial of **PINA**! There are multiple directions you can go now:\n",
"\n",
"1. Train the network for longer or with different layer sizes and assert the finaly accuracy\n",
"\n",
"2. Propose new types of hard constraints in time, e.g. $$ u_{\\rm{pinn}} = xy(1-x)(1-y)\\cdot NN(x, y, t)(1-\\exp(-t)) + \\cos(\\sqrt{2}\\pi t)sin(\\pi x)\\sin(\\pi y), $$\n",
"\n",
"3. Exploit extrafeature training for model 1 and 2\n",
"\n",
"4. Many more..."
]
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