Tutorial update and small fixes * Tutorials update + Tutorial FNO * Create a metric tracker callback * Update PINN for logging * Update plotter for plotting * Small fix LabelTensor * Small fix FNO --------- Co-authored-by: Dario Coscia <dariocoscia@cli-10-110-13-250.WIFIeduroamSTUD.units.it> Co-authored-by: Dario Coscia <dariocoscia@dhcp-176.eduroam.sissa.it>
285 lines
185 KiB
Plaintext
Vendored
285 lines
185 KiB
Plaintext
Vendored
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Tutorial 3: resolution of wave equation with hard constraint PINNs."
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"### The problem solution "
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"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",
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"\n",
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"The problem is written in the following form:\n",
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"\n",
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"\\begin{equation}\n",
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"\\begin{cases}\n",
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"\\Delta u(x,y,t) = \\frac{\\partial^2}{\\partial t^2} u(x,y,t) \\quad \\text{in } D, \\\\\\\\\n",
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"u(x, y, t=0) = \\sin(\\pi x)\\sin(\\pi y), \\\\\\\\\n",
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"u(x, y, t) = 0 \\quad \\text{on } \\Gamma_1 \\cup \\Gamma_2 \\cup \\Gamma_3 \\cup \\Gamma_4,\n",
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"\\end{cases}\n",
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"\\end{equation}\n",
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"\n",
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"where $D$ is a square 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."
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"First of all, some useful imports."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"import torch\n",
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"\n",
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"from pina.problem import SpatialProblem, TimeDependentProblem\n",
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"from pina.operators import laplacian, grad\n",
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"from pina.geometry import CartesianDomain\n",
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"from pina.solvers import PINN\n",
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"from pina.trainer import Trainer\n",
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"from pina.equation import Equation\n",
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"from pina.equation.equation_factory import FixedValue\n",
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"from pina import Condition, Plotter"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"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. `truth_solution` is the exact solution which will be compared with the predicted one."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"class Wave(TimeDependentProblem, SpatialProblem):\n",
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" output_variables = ['u']\n",
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" spatial_domain = CartesianDomain({'x': [0, 1], 'y': [0, 1]})\n",
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" temporal_domain = CartesianDomain({'t': [0, 1]})\n",
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"\n",
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" def wave_equation(input_, output_):\n",
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" u_t = grad(output_, input_, components=['u'], d=['t'])\n",
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" u_tt = grad(u_t, input_, components=['dudt'], d=['t'])\n",
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" nabla_u = laplacian(output_, input_, components=['u'], d=['x', 'y'])\n",
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" return nabla_u - u_tt\n",
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"\n",
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" def initial_condition(input_, output_):\n",
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" u_expected = (torch.sin(torch.pi*input_.extract(['x'])) *\n",
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" torch.sin(torch.pi*input_.extract(['y'])))\n",
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" return output_.extract(['u']) - u_expected\n",
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"\n",
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" conditions = {\n",
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" 'gamma1': Condition(location=CartesianDomain({'x': [0, 1], 'y': 1, 't': [0, 1]}), equation=FixedValue(0.)),\n",
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" 'gamma2': Condition(location=CartesianDomain({'x': [0, 1], 'y': 0, 't': [0, 1]}), equation=FixedValue(0.)),\n",
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" 'gamma3': Condition(location=CartesianDomain({'x': 1, 'y': [0, 1], 't': [0, 1]}), equation=FixedValue(0.)),\n",
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" 'gamma4': Condition(location=CartesianDomain({'x': 0, 'y': [0, 1], 't': [0, 1]}), equation=FixedValue(0.)),\n",
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" 't0': Condition(location=CartesianDomain({'x': [0, 1], 'y': [0, 1], 't': 0}), equation=Equation(initial_condition)),\n",
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" 'D': Condition(location=CartesianDomain({'x': [0, 1], 'y': [0, 1], 't': [0, 1]}), equation=Equation(wave_equation)),\n",
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" }\n",
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"\n",
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" def wave_sol(self, pts):\n",
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" return (torch.sin(torch.pi*pts.extract(['x'])) *\n",
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" torch.sin(torch.pi*pts.extract(['y'])) *\n",
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" torch.cos(torch.sqrt(torch.tensor(2.))*torch.pi*pts.extract(['t'])))\n",
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"\n",
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" truth_solution = wave_sol\n",
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"\n",
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"problem = Wave()"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"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 `pyTorch`. The hard constraint we impose are on the boundary of the spatial domain. Specificly our solution is written as:\n",
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"\n",
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"$$ u_{\\rm{pinn}} = xy(1-x)(1-y)\\cdot NN(x, y, t), $$\n",
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"\n",
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"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 unkwown field of the Wave problem. By construction it is zero on the boundaries. The residual 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."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [],
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"source": [
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"class HardMLP(torch.nn.Module):\n",
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"\n",
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" def __init__(self, input_dim, output_dim):\n",
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" super().__init__()\n",
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"\n",
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" self.layers = torch.nn.Sequential(torch.nn.Linear(input_dim, 20),\n",
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" torch.nn.Tanh(),\n",
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" torch.nn.Linear(20, 20),\n",
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" torch.nn.Tanh(),\n",
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" torch.nn.Linear(20, output_dim))\n",
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" \n",
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" # here in the foward we implement the hard constraints\n",
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" def forward(self, x):\n",
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" hard = x.extract(['x'])*(1-x.extract(['x']))*x.extract(['y'])*(1-x.extract(['y']))\n",
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" return hard*self.layers(x)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"In this tutorial, the neural network is trained for 3000 epochs with a learning rate of 0.001 (default in `PINN`). Training takes approximately 1 minute."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 7,
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"metadata": {},
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"outputs": [
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{
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"name": "stderr",
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"output_type": "stream",
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"text": [
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"GPU available: False, used: False\n",
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"TPU available: False, using: 0 TPU cores\n",
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"IPU available: False, using: 0 IPUs\n",
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"HPU available: False, using: 0 HPUs\n",
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"\n",
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" | Name | Type | Params\n",
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"----------------------------------------\n",
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"0 | _loss | MSELoss | 0 \n",
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"1 | _neural_net | Network | 521 \n",
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"----------------------------------------\n",
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"521 Trainable params\n",
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"0 Non-trainable params\n",
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"521 Total params\n",
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"0.002 Total estimated model params size (MB)\n"
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]
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},
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Epoch 2999: : 1it [00:00, 79.33it/s, v_num=5, mean_loss=0.00119, D_loss=0.00542, t0_loss=0.0017, gamma1_loss=0.000, gamma2_loss=0.000, gamma3_loss=0.000, gamma4_loss=0.000] "
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]
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},
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{
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"name": "stderr",
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"output_type": "stream",
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"text": [
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"`Trainer.fit` stopped: `max_epochs=3000` reached.\n"
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]
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},
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Epoch 2999: : 1it [00:00, 68.62it/s, v_num=5, mean_loss=0.00119, D_loss=0.00542, t0_loss=0.0017, gamma1_loss=0.000, gamma2_loss=0.000, gamma3_loss=0.000, gamma4_loss=0.000]\n"
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]
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}
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],
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"source": [
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"pinn = PINN(problem, HardMLP(len(problem.input_variables), len(problem.output_variables)))\n",
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"problem.discretise_domain(1000, 'random', locations=['D','t0', 'gamma1', 'gamma2', 'gamma3', 'gamma4'])\n",
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"trainer = Trainer(pinn, max_epochs=3000)\n",
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"trainer.train()"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"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 `Plotter` class of **PINA**."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 11,
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"metadata": {},
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"outputs": [
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{
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"data": {
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hYeGXC0hOVmFhoaqqqqI+59xzz9XGjRvDRe69997TqlWrdPnll3ej2fbgGnYEXV5n2rZz+ksin2HEy+91zW5uhzRuh1RwF9sfiERNM5tp39NhPS9vY9PDfQRDajwzHzhwQC0tLcrOzo6Ynp2drW3btkV9zre+9S0dOHBA559/vkKhkI4eParvfve7nZ420NTUpKampvC/Gxoa4mmmZ5h2EPDyARVfOjS8Vb13cP8rIBZO1LWg1DSnEU5B+mI/SK9x5/vUoVOS1Pv9kO2vUz88XVk7mrqeEYEX9L6aaX2rY9HPCo62bU1/DIif7Z+aNWvW6OGHH9YvfvELbdq0SS+++KJefvllPfjggx0+Z/78+crKygo/Bg8ebHczA4+i6S8mbU+TvywCiYi3rvm1prk5epJwEsdifwASR1/NfiZ9L4dzvLjd6bfBbXGNoOzXr59SUlJUV1cXMb2urk45OTlRn3P//ffrxhtv1Le//W1J0pgxY9TY2KhbbrlF9913n5KT22eks2bNUllZWfjfDQ0Nvit8Jn34vXjwRNcYSQl0zYm65nRN8/v1J4McRuV9ZX+nf9+1p79DLTGPWyMpnRpFCcSCvpp56GcFG/0xID5xBZRpaWmaMGGCKisrVVxcLElqbW1VZWWlSktLoz7n008/bVfYUlJSJEmhUPQvdOnp6UpPd7aDFdRr11E0/c2UUww+GZGmvtudCRU+Gz1IPbZ84MhrwfucqGtu1DS7uTV60s/hZFfho5XL8GuQ6ebp3oAJ/NxX64pJgz/a0M+C5L2Q0sl+G3C8uAJKSSorK9NNN92kiRMnatKkSVq4cKEaGxtVUlIiSZo2bZoGDRqk+fPnS5KuvPJKLViwQF/96leVn5+vd999V/fff7+uvPLKcPELGlMKKEUzOLxWGAEnUde8wU/hpBVhpJWv76fA0o2Q0olRlFyHErGippmBfhaORV8MiE3cAeWUKVO0f/9+zZkzR7W1tRo/frwqKirCF2OuqamJ+BVu9uzZSkpK0uzZs/XBBx+of//+uvLKK/Uf//Ef1q0F4kLBDCa3CyO/xsFU1LX4uDF60uvhpNuBZFf8FlgykhJBRk1zH30tRON2Xywe9NvglqRQR2P3DdLQ0KCsrCwV5n5Hqcn2fOF06hRvt0dPUjDhZmF0qtDZdYr30dZm/Xnvr1RfX6/MzMxuLavtuFa69hql9zrBohZ+oenw53ry/D9a0k5Yr23bf+38OUpNzbB8+XZfg9LpgNKr4aTpoWSsvBpWuhFQ2j2K0o4RlEePHtHf187rdr1oO67Nfu0yZVhc044c/lwPnfMqNc1gbdv/vEvm2lLXuuJ2/+p49LfQGa+ElF4NKI8ePaJ/VM61rK7RV3OWNz4dNgvq9ScRTG5+aTLtCyTgN4ST7sr7yv7wwy+8uk5e23cA+APhJLrilX2EfhvcQEDpILc/5F45GALdxY8OgPd5KWDyYoCXCK+FlU7vQ27dPAqAGehrIVbsK0B0BJQBwUEQx2IUJYB4Eb6056WwzmpeWXcvBd1dsXuENOBFpnyvpK+FeHlhnzHl84XgIKB0iJsfbi8c/OA89gsApjI9VPJKOOcEL7wXpu9PAIBgoj8GRIr7Lt7wliAd9HoNrbd0eYd3Zlm6PBO5dTc57gwHoCMmh0mmB3FuantvvHpTHascOiXJ9pvlADBLUPpbVve1jhWEfldHTL+7N/02OCnwAaUT16pza/SkX4ulncUxltfxWwE1vSgCiI2dp386dXq3qeEkwWTs8r6y38iQsmlIsyt39gbgb37tb0nO9bk6ei2/9bk6Q38M+ELgA0q/8lOxdLI4xuLY9vilcPqxKH42epB6bPnA7WYA8DCCycSYOprSqZCSUZSAM7g+nrVM7nNJ/ul3dcSP/TEgXgSUMJJpBbIjQSucVuJ0AcAbgjp6knCy+0wNKgHACn4YEOKVPpfkz0EiXkG/DU4hoLSZG7/sebVYeqlAdqRtHbxYNPnVDoBbTAonCSatZ9Jp314/1bt+eLqydjS53Qwg8Lza32rj9X6XX8NK+mMIOvZ+n/Fisew1tN7zRfJ4bevktfVyev/h1BwAJiGctI9Jd/t2IhB3auQxAMTDi/2TrvhtnUztz9NvgxMIKG3k9IfY1INZR/xWTDoSlPUE4D9OhCymjJ40JTzzO95nAFZwMyzxWp9LCkZ/xE/r6MV9DLBCoE/xduIO3mjPL4UjXl45/ZtTCwDvsfMO3n5HYOY8E0759vqp3gAQiyD2u7zS5wLQHimET3jhVxY//arVHV54H5zcn+z8BZwfIQCzuT16knDSPUF47znN212LFi1SXl6eMjIylJ+frw0bNnQ470UXXaSkpKR2jyuuuCI8z80339zu75MnT3ZiVWAQL/S5JG/0N+zm9ffAxH2N07xhNwJKmzj54TXx4HUsrxcHu/CeADCZ3eEK4STc3gZu74Owz/Lly1VWVqby8nJt2rRJ48aNU1FRkfbt2xd1/hdffFF79+4NP7Zs2aKUlBRdd911EfNNnjw5Yr7f/e53TqwODGF6n0ui3xWNl98TL+xzgJUIKGErrxYDp5hcMCmIAPzK7WAMX3L75jmElP60YMECzZgxQyUlJTrjjDO0ePFi9ezZU0uXLo06/0knnaScnJzwY/Xq1erZs2e7gDI9PT1ivr59+zqxOjgOo7iiM7VPYQqT+12doU+GICGg9DhTD1heLQBuMfW9cmr/4osmECxuhkKEk2by63axYyQy15ztXHNzszZu3KjCwsLwtOTkZBUWFqqqqiqmZTz99NO6/vrrdeKJJ0ZMX7NmjQYMGKARI0bo1ltv1UcffWRp22EuU/tcbUztS5iIfmr30G+DnQgobRD0Dy0H/MRQLAHAXn4NwfzCre3DKEpvaGhoiHg0NTVFne/AgQNqaWlRdnZ2xPTs7GzV1tZ2+TobNmzQli1b9O1vfzti+uTJk/Wb3/xGlZWV+vGPf6y//e1v+vrXv66WlpbEVwroJvoPifPS+2Z6QA5YJdB38fY60w5UXjrIm6zX0Hqj7jrHXb2B4LHz+pNuhUGEk95gwh2+kbi/1p2u1MPWjvA82tgk6VUNHjw4Ynp5ebnmzp1r6WtJX4yeHDNmjCZNmhQx/frrrw///5gxYzR27FgNHz5ca9as0SWXXGJ5O2AO0/pcbeh7dZ+X7vhtUp/skxFp6rudH/dgPTP2cBd4/e6+phVKCqS1gvh+Bn3kMZAoTvfsGuGkt7ixvewMzrmbtzV2796t+vr68GPWrFlR5+vXr59SUlJUV1cXMb2urk45OTmdvkZjY6OWLVum6dOnd9meYcOGqV+/fnr33XdjXwl0G98XvxDEvoKdeD8BMwQ2oLRLEIsmB3R7mHTKhmmBeDy8/mME4CdujJ4knPQmthuOl5mZGfFIT4/+40xaWpomTJigysrK8LTW1lZVVlaqoKCg09dYsWKFmpqa9G//9m9dtmfPnj366KOPlJubG9+KwFNM/A5sSv/Ab7zwvpq4PwJWIqD0IJMOTF44kHsd7zEAJ/lptBchF+LBtSj9o6ysTEuWLNGzzz6rrVu36tZbb1VjY6NKSkokSdOmTYs6AvPpp59WcXGxTj755Ijphw8f1l133aXXXntNu3btUmVlpa6++mqdeuqpKioqcmSdAJMGL/iVF95jU7KAIA7Mgv24BiUSZvrB209MuC6lSdc9AeA9Toc/hJPex/UokagpU6Zo//79mjNnjmprazV+/HhVVFSEb5xTU1Oj5OTI7zTbt2/X2rVr9eqrr7ZbXkpKit544w09++yzOnjwoAYOHKjLLrtMDz74YIcjOQEr0e9ylgl9LyCICCg9xoRfTCiQ7ghCoeSCywCsQDjpH06HlE1DmpVeY/2okEOnJKn3+yHLllc/PF1ZO6LfxRpfKC0tVWlpadS/rVmzpt20ESNGKBSKvo169OihV155xcrmwQNM6HdJ9L3cYnLfi4Ej8Cv2agsFYZgzBdJdbr//pnxRAwAEB4EzACkYfa3juf3dP+h4/wFnEVB6iNvhEAdoM7AdANjFrutPOnl6N2GWP7FdATjJ7X4XzGFq38uEfTSIPxrAXoEMKLmrb/xMPTAHlZvbw4RiCADREGLBCtwsB4AJ6H+Zw9Sb59Avg99wDUqP4OCD45l8XZTu4DqUQOzqh5t/cwanwh4/hZOX5myzfJmra0davkynef2mOVZfhxKAPUzod5kYhsG//S/AFASUFvHz8GYKpLncKpJeuzDzZ6MHqceWD9xuBgBEZUcg2dVreDWwdCqktOtmOQDQFfpeZjMtpHS7X8bgEliJgBKdokACQDDYcf1JRk92zIlQMtbX91pY6fWRlADQEfpe3mBaSAn4hXeGQAWYW6cZUCC9wa3tZMLpL7DOokWLlJeXp4yMDOXn52vDhg0dznvRRRcpKSmp3eOKK64Iz3PzzTe3+/vkyZOdWBUEjJfCyUtztoUfJjG1XQDQxqmz1dz8fkvfy1tM2l70y4Ihnv6aJK1YsUIjR45URkaGxowZo1WrVrWbZ+vWrbrqqquUlZWlE088UWeffbZqamrCfz9y5Ihuu+02nXzyyerVq5euvfZa1dXVWb5ubQgoEZVJB1x0zW/by8+XTDDR8uXLVVZWpvLycm3atEnjxo1TUVGR9u3bF3X+F198UXv37g0/tmzZopSUFF133XUR802ePDlivt/97ndOrA5gHC+Ff15pqxPBtB0jgO0YqQwAcIff+mCJou9mv3j7a+vWrdPUqVM1ffp0bd68WcXFxSouLtaWLVvC8+zYsUPnn3++Ro4cqTVr1uiNN97Q/fffr4yMjPA8M2fO1P/8z/9oxYoV+tvf/qYPP/xQ3/jGN2xbTwJKC9j5gXTj1xAOtN7EdkOiFixYoBkzZqikpERnnHGGFi9erJ49e2rp0qVR5z/ppJOUk5MTfqxevVo9e/ZsF1Cmp6dHzNe3b18nVgeGcOL0btNHT3ol7IvGC203ffvbzQs3yQIQG77Ho7sYRelv8fbXnnjiCU2ePFl33XWXRo0apQcffFBnnXWWnnzyyfA89913ny6//HI9+uij+upXv6rhw4frqquu0oABAyRJ9fX1evrpp7VgwQL9y7/8iyZMmKD//M//1Lp16/Taa6/Zsp4ElAASRiE0W0NDQ8Sjqamp3TzNzc3auHGjCgsLw9OSk5NVWFioqqqqmF7n6aef1vXXX68TTzwxYvqaNWs0YMAAjRgxQrfeeqs++uij7q0QcAyTwykvhHux8tO6JMKp66gCcB+X1UIi2H5IVCx9NSmx/lpVVVXE/JJUVFQUnr+1tVUvv/yyTj/9dBUVFWnAgAHKz8/XypUrw/Nv3LhRn3/+ecRyRo4cqSFDhsTcT4wXN8kxGKMnES8u2Ow9f9lzmlJ6WjsKpuXTL4rb4MGDI6aXl5dr7ty5EdMOHDiglpYWZWdnR0zPzs7Wtm1dhxIbNmzQli1b9PTTT0dMnzx5sr7xjW9o6NCh2rFjh+699159/etfV1VVlVJSUhJYK9iJ006t4ecg79KcbUbeTIcb5gDwMvpe/mBKH8ztO3r7kdt9NSmx/lptbW3U+WtrayVJ+/bt0+HDh/XII4/ooYce0o9//GNVVFToG9/4hv7617/qwgsvVG1trdLS0tSnT58Ol2O1wAWUn40e5HYTjEWB9AenC6RdhfCTEWnqu52RK92xe/duZWZmhv+dnm796YBPP/20xowZo0mTJkVMv/7668P/P2bMGI0dO1bDhw/XmjVrdMkll1jeDpjF7lFnJo6e9HM42aZtHU0MKgEAcJMpIaVb6LvFz4m+WkdaW78YDHf11Vdr5syZkqTx48dr3bp1Wrx4sS688ELH2nIs4vVu8ssFYQkn/YXtCUnKzMyMeEQrev369VNKSkq7u7HV1dUpJyen0+U3NjZq2bJlmj59epdtGTZsmPr166d33303vpUADBfEU6BNW1+7A2urA3dGLAPxcaK/xZlrsIIJ25RLcHlHLH01KbH+Wk5OTqfz9+vXT6mpqTrjjDMi5hk1alT4Lt45OTlqbm7WwYMHY37d7iKgNBQHFgBOSEtL04QJE1RZWRme1traqsrKShUUFHT63BUrVqipqUn/9m//1uXr7NmzRx999JFyc3O73WZ8Iag3yDBp9KRpQZ2TghjMAoBVTAiyYA+2LayWSH+toKAgYn5JWr16dXj+tLQ0nX322dq+fXvEPG+//bZOOeUUSdKECRN0wgknRCxn+/btqqmp6bKfmKjAneKN9jiI+pOTpxl44Xonn40epB5bPnC7GUYqKyvTTTfdpIkTJ2rSpElauHChGhsbVVJSIkmaNm2aBg0apPnz50c87+mnn1ZxcbFOPvnkiOmHDx/WAw88oGuvvVY5OTnasWOH7r77bp166qkqKipybL3gjiDcVIRg7kumXJuSa1ECAEzh9uneXuibIT7x9tfuuOMOXXjhhXr88cd1xRVXaNmyZXr99df11FNPhZd51113acqUKfra176miy++WBUVFfqf//kfrVmzRpKUlZWl6dOnq6ysTCeddJIyMzN1++23q6CgQOecc44t60lACQABN2XKFO3fv19z5sxRbW2txo8fr4qKivCFlWtqapScHPklZ/v27Vq7dq1effXVdstLSUnRG2+8oWeffVYHDx7UwIEDddlll+nBBx909NoqiI2XTjc1YfQk4WR7QQgpm4Y0K73GH5f1ARDJ6TPXGBwCv+I6lPaJt7927rnn6vnnn9fs2bN177336rTTTtPKlSs1evTo8DzXXHONFi9erPnz5+v73/++RowYoT/84Q86//zzw/P89Kc/VXJysq699lo1NTWpqKhIv/jFL2xbTwJKAzlZJCmQ/ub2r3fdRZFzTmlpqUpLS6P+re1XtGONGDFCoVAo6vw9evTQK6+8YmXzAMJJw5kSUgIAnHfZkO1dz3ScV2tG2NASc7jdD2MUpf/E21+77rrrdN1113W6zH//93/Xv//7v3f494yMDC1atEiLFi2Kq62JIqDsBq/fIMdv4WQihbEjfiqYThVHiiAAP5/eTTjZNRPu8u2VU70PnZKk3u9H/5EHgH/5of9lVZ8r2nL81AeT3A8pAa8hoISnWRlKdrZcvxVLAPASt0dPEk7Gh9GUALyCM9diY1efq6vX8UMfjJASiB0BpWGcKpIUyMRf04uFksIIAIkhnEyMH0NKE69DWT88XVk7mtxuBmAbr5+x5mVu9Lk6a4MX+2Buc+MMNy7Rhe4goIQnmFAg27S1hSLZHqd5A95i5Q1y/Hh6N+Fk97gVUnrlNG8AweGlwSEm9buO5eU+GINFgNiQJASQ1wqkyUXS1LZF46XtDgBt3Dq9m3DSGryPAOANXunbeKWdx3OrL+b0XeqB7gjUCMrPRg+ybFl2nG7AweNLXio6Xv41zws4TQCA0wjVvM+uUZQmnuYNIDFcWusLXup3HYs+GOA/jKAMGNMLpOTtIml6272w/QGgjRujJwknrcd7Gp2Vl1gAgESY3neJhRf6YG0YRQl0joASxvBScemMH9ahOyiAQPD45fqTBGn2ceO9dfvu7wBg6uAAv/S7juWVdTJ1n7ASN7dCoggoDeFEqGPywdALxSQeJq+PyfsBgNjUD093uwm2I1zyHwJgAKYI8g/qJvdTrOD39QP8jIASrvNrEfHKr3hBYuV1aAH4C+GZM5x+n+0Iuv0yYhiAvUwcFBCUvonp/TA39o0gh/LwDgLKgDC1QJpcOKxi4jqauD8AcBbXv/sS4SQAmIfTRK0TlH7X8UxeZ/pjQHsElAmgWHafycXCDkFbX6t/oeMzB5jLjtFkTp7eTTjpPN5zAHBO0PohxwtqOAt4EQGlAewebm3arzNBLRCmrbdp+wUAIDicDCm5nimAYwXp2v+m9T/cZOJ74fR+4uRp3gwwQSIIKOEoEwuDk4K+/gDQFUZPwgusGjnMpRYA2IV+R3u8J4DZCCh9zpRf7yQKQhveBwBwH+Gk+9gGAPzIhP4X/Y2Omfbe+HkUJRAvAko4wrRC4DZT3g87CyLFD/A/7maM7nIqpOQ0bwBBYUo/w2S8R4CZCChdFoQQhwIQHe8LAERyKkRi5B78pH54uttNAPD/c3v0JP2L2Jn0Xrm93wCmIKD0MRMOdCYd+E3E+wPADVz3DiYhMAbgFD8PDqFfEb+gvmdOfQ64UQ7iFZiA8rPRgyxZDh+y2AX1gB8vt98nE4LsWPDZA2AFwjAzObFdrB6hyyUOAMD73O6LtfFKnwywU2ACyqDhAAcT+PlXagDWcuL0bsJJAIBd3Ox/mRKyeRXvH2AGAkrYgoN8fNx+vwi0AcSL0WOwGgEygDacORM7t/sRfmHC++hkn4yBJDARAaWL/HpQMOHg7kW8bwBgH8IvSGbezZtrwgJIFP0Ha/F+Au4ioPQhTi/wLt4/AECQESQDsIudg0Pc6H/Rb7CH2++r385sYzQ04kFACUCS/4ohAO+we1QboRfswqUOAMB/3A4pgaAioIRlOJBbw2/vo18vZQC4pX54uttNAGxld6Bs4mneABAPv/UXTOTme+zUwBH6aTANAaXPuDUKjiJpLd5P+3w2epDbTQBcFbTr3fl19OQ3MzeFHwAA9zjd/6KfAMCvUt1ugJdYef0Efq0A4vfJiDT13c7pdIDbrDytldFsHYs1fOxovhcazrKyOY66NGebVteOdLsZAIAAu2zIdr1aM8KV1+41tF6Hd2a58tqAWwgo0W38imcPNwoihRCAn3hx9KSVIyKPXZaXw0oA6C6/DA6h3+U8N0NKJxwa3qreOzixFmZgTwQAAHCZ3adrc0p4JEbuArACN5kMBreCYb/sX9zJG7EioPQRNw5g/IpnL95fAPA3N0JDr4SUXhkBy528ATiBfgEAvyOgBBDBjqDbL6fVALCWnaPYTA+33B7N6PbrI1LQbl7lhEWLFikvL08ZGRnKz8/Xhg0bOp3/4MGDuu2225Sbm6v09HSdfvrpWrVqVbeWCcA/GEUJ2I+A0gV+CWv4Fc8ZvM8A4C8mBYOmB5WmB80w0/Lly1VWVqby8nJt2rRJ48aNU1FRkfbt2xd1/ubmZl166aXatWuXXnjhBW3fvl1LlizRoEGDEl4mEsfpoO3RHzCDX7eDX/IJeB8BpU/wywoAwAleOJ3V5FDL1DDQ1HbZietQ+teCBQs0Y8YMlZSU6IwzztDixYvVs2dPLV26NOr8S5cu1ccff6yVK1fqvPPOU15eni688EKNGzcu4WXC/5zqf/k1FPMqtgdgHwJKJIQDs7N4vwHA20wfqSgFM6SE/zQ3N2vjxo0qLCwMT0tOTlZhYaGqqqqiPudPf/qTCgoKdNtttyk7O1ujR4/Www8/rJaWloSXCXMwOgxex2AkBAUBJYB2KIIA7Bak0WteCv5MbKvJI2LhnIaGhohHU1NT1PkOHDiglpYWZWdnR0zPzs5WbW1t1Oe89957euGFF9TS0qJVq1bp/vvv1+OPP66HHnoo4WUCVmCQgpn8uF0I8mGCVLcbAO/x4wHZCy4bsl2v1oxwuxkAPCwIN+IwLcwyMfDryjczN+mFhrPcboanNA1pVnqNe9fNqx+erqwd0QM7J9V82E/JPTIsXWbrZ0ckSYMHD46YXl5errlz51rzGq2tGjBggJ566imlpKRowoQJ+uCDD/STn/xE5eXllrwG/IUf8+G0XkPrdXhnltvNSNgnI9LUd7v5lwmCuwgoY2TyxZopkPCCQ8Nb1XsHg7YBBIcXw8k2hJQwze7du5WZmRn+d3p6etT5+vXrp5SUFNXV1UVMr6urU05OTtTn5Obm6oQTTlBKSkp42qhRo1RbW6vm5uaElgnA3xg8AliPtMBhXh86zehJd/H+m/1jAQC08XI42cakdbBrZGyQLjXgdZmZmRGPjgLKtLQ0TZgwQZWVleFpra2tqqysVEFBQdTnnHfeeXr33XfV2vrl9/S3335bubm5SktLS2iZQHfxvd98bCPAWoEIKD8bPcjtJgCew8hcAF5jyundJgV73eWndUFwlJWVacmSJXr22We1detW3XrrrWpsbFRJSYkkadq0aZo1a1Z4/ltvvVUff/yx7rjjDr399tt6+eWX9fDDD+u2226LeZkAYDe7+2deH0wF7+MUb8SMX4gAINiahlhz7SA/j1rzY6DH6d7wmilTpmj//v2aM2eOamtrNX78eFVUVIRvclNTU6Pk5C/HaQwePFivvPKKZs6cqbFjx2rQoEG644479KMf/SjmZSI4nPgRn36Xd3CqN2AdAkrAYyiCAACnmRBSXpqzTatrR7raBnhHaWmpSktLo/5tzZo17aYVFBTotddeS3iZMBMjwgDAOwJxirefcRouAABmnN7tx9GTx/L7+rnt0ClJbjcBgAEYPek9Tm4z+v/ws4QCykWLFikvL08ZGRnKz8/Xhg0bOp3/4MGDuu2225Sbm6v09HSdfvrpWrVqVUINhjsolGZhewDWoq6huwjvvMvPlxxAMFHT4JYb+65L6AFz2DnqmJudoitxn+K9fPlylZWVafHixcrPz9fChQtVVFSk7du3a8CAAe3mb25u1qWXXqoBAwbohRde0KBBg/T++++rT58+VrQfgI16Da3X4Z1ZbjcDsBV1DYid26d6m3yad9OQZqXX0PmCu6hpcJoVAeOxy3juk3O7vTw3cBkuoPviDigXLFigGTNmhO9Yt3jxYr388staunSp7rnnnnbzL126VB9//LHWrVunE044QZKUl5fXvVYD8KRDw1vVewdXloBZqGvO8uNotaCNnnQ7pATQMWqavew+vdZLZ0nZNfLRD2Gl3RhEAr+KKylobm7Wxo0bVVhY+OUCkpNVWFioqqqqqM/505/+pIKCAt12223Kzs7W6NGj9fDDD6ulpaXD12lqalJDQ0PEww+8epFmLxXKIGG7AN3nRF3za00ziZvXnwxaOAnAXPTV4AQnT8v22ing9M+A7okroDxw4IBaWlqUnZ0dMT07O1u1tbVRn/Pee+/phRdeUEtLi1atWqX7779fjz/+uB566KEOX2f+/PnKysoKPwYPHhxPMwODC+QCQPc4UdeoafAjglnAPH7oq3GNOnO5GRZ6LagEkBjbz7VsbW3VgAED9NRTT2nChAmaMmWK7rvvPi1evLjD58yaNUv19fXhx+7du+1uJgAAMYm3rvmlpjUNaXa7CcYhpHOHHSNm/XjpASAW9NXMYfLoO1PCQVPa0RmntqOdg5W8euYnvC+ua1D269dPKSkpqquri5heV1ennJycqM/Jzc3VCSecoJSUlPC0UaNGqba2Vs3NzUpLa/8rWXp6utLT0+Npmq2C/EueyYUSALrLibpmZU2rH25ObQS4FiVglqD21TpCyGIN00LBtvZwfUrAf+IaQZmWlqYJEyaosrIyPK21tVWVlZUqKCiI+pzzzjtP7777rlpbvywQb7/9tnJzc6MWPACxcyJA5lIC8LMg1bVDpyS53QRbuHX9SUZPAjBNkGqaG4L2ndj006pNbhuDfIDExH2Kd1lZmZYsWaJnn31WW7du1a233qrGxsbwneKmTZumWbNmhee/9dZb9fHHH+uOO+7Q22+/rZdfflkPP/ywbrvtNuvWAgDi8NnoQW43AQahrgGJI6gFzEJN8ybTAi2Tw79jeaWddvFiaB7ks1PRtbhO8ZakKVOmaP/+/ZozZ45qa2s1fvx4VVRUhC/GXFNTo+TkL3PPwYMH65VXXtHMmTM1duxYDRo0SHfccYd+9KMfWbcWAeTEwci0Qgm0+WREmvpu53p4sAZ1zTl+uc4foZz7Ls3ZptW1I91uBmAcahq6y2uh34191xl5uvdlQ7br1ZoRbjcD8JS4A0pJKi0tVWlpadS/rVmzpt20goICvfbaa4m8FIAuUPyA7qOuAYnjWpRfahrSrPQaRofAXdQ0JMpr4WQbU0NKLzs0vFW9d9h+T2UgAnscAEdxwXIAVnHj+pOMngQAWImz1qxhYrjKtgXiQ0DpEEIZAADgV34Ibv1yCQIASISJAV+8/LAO8fLidSiBjhBQIip+7QGCZdGiRcrLy1NGRoby8/O1YcOGTuc/ePCgbrvtNuXm5io9PV2nn366Vq1a1a1lAqbzQwgHAIif30MgPwV7floX4Fjx9q1WrFihkSNHKiMjQ2PGjGnXVzvWd7/7XSUlJWnhwoUR0/Py8pSUlBTxeOSRR6xYnagIKAF0ye9fyoJu+fLlKisrU3l5uTZt2qRx48apqKhI+/btizp/c3OzLr30Uu3atUsvvPCCtm/friVLlmjQoEEJLxOA9zkd4Lpxij8AWMmEQSF+DPRMWicTtjG8L96+1bp16zR16lRNnz5dmzdvVnFxsYqLi7Vly5Z28/7xj3/Ua6+9poEDB0Zd1rx587R3797w4/bbb7d03Y5FQAn4AIUP3bFgwQLNmDFDJSUlOuOMM7R48WL17NlTS5cujTr/0qVL9fHHH2vlypU677zzlJeXpwsvvFDjxo1LeJkAAOnQKUluNwFAgJgU5FnNz+t2PLsGk3CZOnPE27d64oknNHnyZN11110aNWqUHnzwQZ111ll68sknI+b74IMPdPvtt+u3v/2tTjjhhKjL6t27t3JycsKPE0880fL1a0NACQA+1dDQEPFoampqN09zc7M2btyowsLC8LTk5GQVFhaqqqoq6nL/9Kc/qaCgQLfddpuys7M1evRoPfzww2ppaUl4mTBb05Dmbi/D6uv7OT16jtO7AcA7CFYgmRNSMpgE0cTSV5MS61tVVVVFzC9JRUVFEfO3trbqxhtv1F133aUzzzyzw3Y+8sgjOvnkk/XVr35VP/nJT3T06NF4VjMuqbYtGbbhdFvAPxrfz1RyRoaly2w9ckSSNHjw4Ijp5eXlmjt3bsS0AwcOqKWlRdnZ2RHTs7OztW1b9ADovffe01/+8hfdcMMNWrVqld59911973vf0+eff67y8vKElgnAH76ZuUkvNJzldjMAAF0wJbyz24191+m5T851uxk4xicj0tR3e/d//HaC2301KbH+Wm1tbdT5a2trw//+8Y9/rNTUVH3/+9/vsK3f//73ddZZZ+mkk07SunXrNGvWLO3du1cLFizodB0TRUCJdviFB/CH3bt3KzMzM/zv9PR0S5bb2tqqAQMG6KmnnlJKSoomTJigDz74QD/5yU9UXl5uyWsAAAD4GX0uINjs6qvFYuPGjXriiSe0adMmJSV1fHmZsrKy8P+PHTtWaWlp+s53vqP58+fb0l5O8QYAn8rMzIx4RCsi/fr1U0pKiurq6iKm19XVKScnJ+pyc3NzdfrppyslJSU8bdSoUaqtrVVzc3NCywRMxund5uJGOQDs5sez14IyerKNCetrdyDtx/3U72Lpq0mJ9ddycnI6nf9///d/tW/fPg0ZMkSpqalKTU3V+++/rx/84AfKy8vrsM35+fk6evSodu3aFfuKxoGAEoFwY9917R5+w6+wSERaWpomTJigysrK8LTW1lZVVlaqoKAg6nPOO+88vfvuu2pt/fL6Tm+//bZyc3OVlpaW0DIB+AeBLgCYy4/9oFgEdb3hfYn0rQoKCiLml6TVq1eH57/xxhv1xhtvqLq6OvwYOHCg7rrrLr3yyisdtqW6ulrJyckaMGCABWvWHqd4w7e6KkLH/p3rkiDIysrKdNNNN2nixImaNGmSFi5cqMbGRpWUlEiSpk2bpkGDBmn+/PmSpFtvvVVPPvmk7rjjDt1+++1655139PDDD0dcv6SrZQKAifK+sl+79vR3uxkAABjh0PBW9d7BuDa3xdtfu+OOO3ThhRfq8ccf1xVXXKFly5bp9ddf11NPPSVJOvnkk3XyySdHvMYJJ5ygnJwcjRgxQtIXN9pZv369Lr74YvXu3VtVVVWaOXOm/u3f/k19+/a1ZT0JKOE7ifw61vYcgkoE0ZQpU7R//37NmTNHtbW1Gj9+vCoqKsIXVq6pqVFy8pdfTAYPHqxXXnlFM2fO1NixYzVo0CDdcccd+tGPfhTzMgGvYDQgAMAvgj6K0O0b5lw2ZLterRnh2uvDu+Ltr5177rl6/vnnNXv2bN1777067bTTtHLlSo0ePTrm10xPT9eyZcs0d+5cNTU1aejQoZo5c2bEdSmtRkCJCF4/Tbi7RdftomWyXkPrdXhnltvNgE1KS0tVWloa9W9r1qxpN62goECvvfZawssEuoPrDsJkTUOalV6T5nYzABjM630uL/Nzf4/+mr/F21+77rrrdN1118W8/OOvK3nWWWd12d+zGmN14RtW/SIY9F8WAQDoLkaeAoBZ6OMAMB0BpQMODW/teiZ0i9UFlwIOAAAAAP7jZl+P0bNAxwgou/DJCLNO0ek1tN7tJhjHrgLjxZDSKwWP0B6AFzAKEAAAAHAGASU8ze4Q0YshJQCYJu8r+91uAnyMa5IC/mDawBDJP4ND6NO0x3sSOzsGl5j4eYf7CCgBAPC5Q6ckud0EBBAjUAGgPa+c8QT72LkP+CVURzARUMKznPrVi1/XAACA6eqHp7vdBMAIXEooEn2ZjvHeAGYhoESYl37No5gAAAAAAAD4AwElEAMCUQAwg1PXG+T0ZAAA/I9+HmAOAkoAAAAAAHyG8M1cXjp7EXAKASU8x61CS4EHAAAAAH/xWz+PG+XAqwgoAQBAh5qGNLvdBHgYp8oDAOB93HwKTvB9QPnZ6EFuNwEW8tuvWwAAwCx5X9nvdhMA+JSTp/XSb4oP7xfgPt8HlICVKFwAAAAAgO7iOpRAJAJKwGcodAAAAAAAwEsIKAEAAI7BdRO959KcbW43AQDgcX46W44b5cCLCCjhGX4qGOi+T0akud0EAAAA+JSXAx76TfAC+nM4HgElAAAAAACAw7g8F/AlAkogTvwiCQAAAAD+Q18PcA8BJQAAAAAAADp0aHir202AzxFQAgAAAAAAAHANASUAAAAAADZy6lqDnKLcfbyHgDsIKAHEzMt3MwQAuOObmZvcbgIAAMayK7ym7wavIaAEAAAA4CuLFi1SXl6eMjIylJ+frw0bNsT0vGXLlikpKUnFxcUR02+++WYlJSVFPCZPnmxDywEACCYCSgAAAAC+sXz5cpWVlam8vFybNm3SuHHjVFRUpH379nX6vF27dumHP/yhLrjggqh/nzx5svbu3Rt+/O53v7Oj+QAABBIBJSQ5d00UAAAAwE4LFizQjBkzVFJSojPOOEOLFy9Wz549tXTp0g6f09LSohtuuEEPPPCAhg0bFnWe9PR05eTkhB99+/a1axUAuIzrUALOI6AEELPDO7PcbgIAAAighoaGiEdTU1PU+Zqbm7Vx40YVFhaGpyUnJ6uwsFBVVVUdLn/evHkaMGCApk+f3uE8a9as0YABAzRixAjdeuut+uijjxJfIQAAECHV7QbADK/WjGAUJQAAABKWtjtNKRlpli6z5UirJGnw4MER08vLyzV37tx28x84cEAtLS3Kzs6OmJ6dna1t27ZFfY21a9fq6aefVnV1dYftmDx5sr7xjW9o6NCh2rFjh+699159/etfV1VVlVJSUuJbKQAA0A4BJQAAAACj7d69W5mZmeF/p6enW7LcQ4cO6cYbb9SSJUvUr1+/Due7/vrrw/8/ZswYjR07VsOHD9eaNWt0ySWXWNIWoLs4Ldm7LhuyXa/WjHC7GV06NLxVvXdwIi7sQUAJAAAAwGiZmZkRAWVH+vXrp5SUFNXV1UVMr6urU05OTrv5d+zYoV27dunKK68MT2tt/WLUZmpqqrZv367hw4e3e96wYcPUr18/vfvuuwSUgE/d2HednvvkXLeb0S29htZzmS54BtE3AE/qu73Z7SYAAADDpKWlacKECaqsrAxPa21tVWVlpQoKCtrNP3LkSL355puqrq4OP6666ipdfPHFqq6ubndqeZs9e/boo48+Um5urm3rAgBAkDCCEgAAAIBvlJWV6aabbtLEiRM1adIkLVy4UI2NjSopKZEkTZs2TYMGDdL8+fOVkZGh0aNHRzy/T58+khSefvjwYT3wwAO69tprlZOTox07dujuu+/WqaeeqqKiIkfXDQAAvyKgBOLk9WH+AAAAfjZlyhTt379fc+bMUW1trcaPH6+KiorwjXNqamqUnBz7iWQpKSl644039Oyzz+rgwYMaOHCgLrvsMj344IOWXQsTAILokxFpnBmHMAJKAAAA2OaFhrPcbgICqLS0VKWlpVH/tmbNmk6f+8wzz0T8u0ePHnrllVcsahkAAIiGa1ACPuOFu78BAAAAgOm4MzrgHAJKeAanVgMAAAAA/OiyIdvdbgLgKgJKAAAAAAAAAK4hoATiwChOAAAAAAAAaxFQwlMICAEAAAAAAPyFgBIAAOAY3HUaAAD4Ra+h9W43AYiJ7wPKHls+cLsJ8AlGbwIAYKbVtSPdbgIAAAC6wfcBJfyHoBAAAAAA4IQb+65zuwlGOTS81e0mwKcIKIEYEIoCABAMu/b0d7sJAAAAgUNACU8iMAQAZ6TXpLndBHgY1/MEAABALAgoEfZqzQi3m2AkwlDr9d7BoQcAAAAAAHyBlACe5URw6LVwkpAZAAAAAAB4DQElPM1rASIAoHu4WzMAAPCry4Zsd7sJgGsIKIEOEH5GOrwzy+0mAIBjuHYiAAAA4BwCSnieHUEi4SQAAPCSrB1NbjcBAAAgYQSUXei7vdntJkRgFFt0VgaKhJMA/Kb3+yG3m4AAYhQqAAAAYkVA6QDuWOyM5z45t9vhIuEkAAAAAACAs0jOEMEPd4FOJGS0ItwEAES3a09/t5uQEEYAegM3TgIAAPC+VLcbANjh2LDxxr7rupzHD/wQLgMAAAAAgOAhoITv+S2IBAAAAAAA8BNO8QYAAIClgnx6fHpNmttNAAAA8BwCSgAA4ClOXnMwyEEbAMBbOHMMHek1tN7tJgBdIqAEAGjRokXKy8tTRkaG8vPztWHDhpiet2zZMiUlJam4uDhi+s0336ykpKSIx+TJk21oOQBYx6s3dAIAwKs+GcGZB7GIt7+2YsUKjRw5UhkZGRozZoxWrVoV8fe5c+dq5MiROvHEE9W3b18VFhZq/fr1EfN8/PHHuuGGG5SZmak+ffpo+vTpOnz4sOXr1oaAEu1wsxXvsXubHd6ZZevy4a7ly5errKxM5eXl2rRpk8aNG6eioiLt27ev0+ft2rVLP/zhD3XBBRdE/fvkyZO1d+/e8ON3v/udHc0HYBhGnQIAAFgn3v7aunXrNHXqVE2fPl2bN29WcXGxiouLtWXLlvA8p59+up588km9+eabWrt2rfLy8nTZZZdp//794XluuOEG/fOf/9Tq1av10ksv6e9//7tuueUW29aTgNKDCIsAWGnBggWaMWOGSkpKdMYZZ2jx4sXq2bOnli5d2uFzWlpadMMNN+iBBx7QsGHDos6Tnp6unJyc8KNv3752rQKAgHLydH8A6A4GgQBIVLz9tSeeeEKTJ0/WXXfdpVGjRunBBx/UWWedpSeffDI8z7e+9S0VFhZq2LBhOvPMM7VgwQI1NDTojTfekCRt3bpVFRUV+vWvf638/Hydf/75+vnPf65ly5bpww8/tGU9CSgBOKr3Dg47TmloaIh4NDU1tZunublZGzduVGFhYXhacnKyCgsLVVVV1eGy582bpwEDBmj69OkdzrNmzRoNGDBAI0aM0K233qqPPvqoeysEuIQRgQAAALBSLH01KbH+WlVVVcT8klRUVNTh/M3NzXrqqaeUlZWlcePGhZfRp08fTZw4MTxfYWGhkpOT250KbpVUW5YKADbqu725W8/vseUDi1rSfb3eS1ZKurWhbUvTF8sbPHhwxPTy8nLNnTs3YtqBAwfU0tKi7OzsiOnZ2dnatm1b1OWvXbtWTz/9tKqrqztsw+TJk/WNb3xDQ4cO1Y4dO3Tvvffq61//uqqqqpSSkhL/SgHwBMJcAH5xeGcWNxYBAs7tvpqUWH+ttrY26vy1tbUR01566SVdf/31+vTTT5Wbm6vVq1erX79+4WUMGDAgYv7U1FSddNJJ7ZZjFQJKRPVqzQhdNmS7281ADDhdBB3ZvXu3MjMzw/9OT0/v9jIPHTqkG2+8UUuWLAkXr2iuv/768P+PGTNGY8eO1fDhw7VmzRpdcskl3W4HnJVek6amId37YWDXnv7K+8r+rmeM0erakbo0J/qXMgAAAMBkdvTV4nXxxRerurpaBw4c0JIlS/Sv//qvWr9+fbtg0imcawkAPpWZmRnxiFb0+vXrp5SUFNXV1UVMr6urU05OTrv5d+zYoV27dunKK69UamqqUlNT9Zvf/EZ/+tOflJqaqh07dkRty7Bhw9SvXz+9++671qwc4DBGBsIJvd8Pud0EAB733Cfnut0EADGIpa8mxd9fk6ScnJyY5j/xxBN16qmn6pxzztHTTz+t1NRUPf300+FlHH8TnqNHj+rjjz/u8HW7i4DSIVx3D4CJ0tLSNGHCBFVWVoantba2qrKyUgUFBe3mHzlypN58801VV1eHH1dddVX417fjT1Vos2fPHn300UfKzc21bV0AuIsQFwCAYDg0vNXtJgRGvP01SSooKIiYX5JWr17d4fzHLrftWpgFBQU6ePCgNm7cGP77X/7yF7W2tio/Pz/R1ekUp3gD6BR3jfe/srIy3XTTTZo4caImTZqkhQsXqrGxUSUlJZKkadOmadCgQZo/f74yMjI0evToiOf36dNHksLTDx8+rAceeEDXXnutcnJytGPHDt1999069dRTVVRU5Oi6AVZ6oeEsfTNzk9vNwP+PO3gDAIAgiKe/Jkl33HGHLrzwQj3++OO64oortGzZMr3++ut66qmnJEmNjY36j//4D1111VXKzc3VgQMHtGjRIn3wwQe67rrrJEmjRo3S5MmTNWPGDC1evFiff/65SktLdf3112vgwIG2rCcBJTrEdSjNx/UnYYUpU6Zo//79mjNnjmprazV+/HhVVFSEL6xcU1Oj5OTYR4GnpKTojTfe0LPPPquDBw9q4MCBuuyyy/Tggw+6cm0VAIjFrj393W4CAMBAnDYPt8XbXzv33HP1/PPPa/bs2br33nt12mmnaeXKleEBJSkpKdq2bZueffZZHThwQCeffLLOPvts/e///q/OPPPM8HJ++9vfqrS0VJdccomSk5N17bXX6mc/+5lt60lA6VHcVQ6AlUpLS1VaWhr1b2vWrOn0uc8880zEv3v06KFXXnnFopYBHeNGOebg9G4AAAD7xNtfu+6668KjIY+XkZGhF198scvXPOmkk/T888/H1c7u4MKIAAAAMSKIQ2fSa9LcbgIAgzl19hMj/gB4EQEl4FGc3g0AMAGhLQCTcHNSAPCmhI7eixYtUl5enjIyMpSfn68NGzbE9Lxly5YpKSlJxcXFibysa/pub3a7Ca4hBIOV+MIIUwWtrrnFL9f4I5BzHzfIATpGTQMAeFHcacHy5ctVVlam8vJybdq0SePGjVNRUZH27dvX6fN27dqlH/7wh7rgggsSbiwAZ3EHbwQBdQ1IHGEtYBYv17QgDwoBACQQUC5YsEAzZsxQSUmJzjjjDC1evFg9e/bU0qVLO3xOS0uLbrjhBj3wwAMaNmxYtxqMLxEeBRcjWwHreKmuZe1oSvi5vd8PWdgSc7g1ko5gDoCJvFTTYC+uQ2kN3kfAOXEFlM3Nzdq4caMKCwu/XEBysgoLC1VVVdXh8+bNm6cBAwZo+vTpMb1OU1OTGhoaIh5wD2EYAL9yoq75paZx8w8cz08hrV8uP4Bgo69mPQaEwGn0vRFkcQWUBw4cUEtLi7KzsyOmZ2dnq7a2Nupz1q5dq6efflpLliyJ+XXmz5+vrKys8GPw4MHxNNNYXH8PAMziRF3za02DvwI6L+H6k0B09NW8gQAKAKKzNTE7dOiQbrzxRi1ZskT9+vWL+XmzZs1SfX19+LF7924bWwl4C19qAPckUteoaf4W1JAyqOsN+Al9Nf/j9GQAXpIaz8z9+vVTSkqK6urqIqbX1dUpJyen3fw7duzQrl27dOWVV4antba2fvHCqanavn27hg8f3u556enpSk9Pj6dpsNmrNSN02ZDtbjcDDjL1lBYuoA4rOVHXqGmRdu3pr7yv7Ld0matrR+rSnG2WLhMdI5wEzERfDQDgZXGNoExLS9OECRNUWVkZntba2qrKykoVFBS0m3/kyJF68803VV1dHX5cddVVuvjii1VdXc3pABYwNUQCjsclDmAi6hqsQGAHwATUNMBajEAFnBXXCEpJKisr00033aSJEydq0qRJWrhwoRobG1VSUiJJmjZtmgYNGqT58+crIyNDo0ePjnh+nz59JKnddJiPUZTu4/RuwHrUNVjhhYaz9M3MTW43w3Zuh7EmX3+SG0nBBNQ0HO+5T87VjX3Xud0MuIyBTfCCuAPKKVOmaP/+/ZozZ45qa2s1fvx4VVRUhC/GXFNTo+RkRkoBALyBuuYPnOZtP7fDSbuYcgfv3u+H3G4CfICaBgDwqrgDSkkqLS1VaWlp1L+tWbOm0+c+88wzibwkEHhOjp7kFzYEDXUNVvDzKEq/hpOAH1HTzMeZaQDQXiB+Puux5QO3mxDm9evwcYoxAKC7TBmxZgeCPPuYfHo3AP/yww/3XEsxfrxngPO8nZZBkj+KJjpHMAzABKZfY8+UAMtvIaXf1gfBsGjRIuXl5SkjI0P5+fnasGFDh/O++OKLmjhxovr06aMTTzxR48eP13PPPRcxTygU0pw5c5Sbm6sePXqosLBQ77zzjt2rAQBAYBBQxqjv9ma3m2AMwjIAADrnl1DPL+uBYFm+fLnKyspUXl6uTZs2ady4cSoqKtK+ffuizn/SSSfpvvvuU1VVld544w2VlJSopKREr7zySnieRx99VD/72c+0ePFirV+/XieeeKKKiop05MgRp1YLcfD6WWt2YESg+ehnI+g4cgOGc7pQ2TEily+JAILI6+GeSe23a3Ssny83EGQLFizQjBkzVFJSojPOOEOLFy9Wz549tXTp0qjzX3TRRbrmmms0atQoDR8+XHfccYfGjh2rtWvXSvpi9OTChQs1e/ZsXX311Ro7dqx+85vf6MMPP9TKlSsdXDP4CWGUuQhzAXeQGiAhFFQA8J4g3CXYlNO825gU8sXDq+12i+mXP/CDhoaGiEdTU1PU+Zqbm7Vx40YVFhaGpyUnJ6uwsFBVVVVdvk4oFFJlZaW2b9+ur33ta5KknTt3qra2NmKZWVlZys/Pj2mZgCkI3mAVBqDADgndxRvmObwzS72G1rvdDFiMIDgSl1oA/GPXnv7K+8p+t5vhCK/d3Ztw0nuydkQP65zWe3dIKWnW/hDS0vzF8gYPHhwxvby8XHPnzm03/4EDB9TS0qLs7OyI6dnZ2dq2bVuHr1NfX69BgwapqalJKSkp+sUvfqFLL71UklRbWxtexvHLbPsbAH8gxAXcQ0Dpgt47knVoeKvbzei2V2tG6LIh291uBhCXHls+cLsJAALIKyGlieGkaaNi4Y7du3crMzMz/O/09HRLl9+7d29VV1fr8OHDqqysVFlZmYYNG6aLLrrI0teBN/lpMMhzn5yrG/uuc7sZANAO43IBQ7kxepI7wgPwA1MDLRPDvzYvNJxldPvswPUnvSUzMzPi0VFA2a9fP6WkpKiuri5iel1dnXJycjpcfnJysk499VSNHz9eP/jBD/TNb35T8+fPl6Tw8+JdJtAVzpYCgC8RUPqIG+ESRRUAgoVr7XWPiUGgae05lqlhM8yVlpamCRMmqLKyMjyttbVVlZWVKigoiHk5ra2t4etcDh06VDk5ORHLbGho0Pr16+NaJmAKTmOOjvcFcBeneKPbONXben4KfrmAMgC0Z8Ip3yYHk0B3lJWV6aabbtLEiRM1adIkLVy4UI2NjSopKZEkTZs2TYMGDQqPkJw/f74mTpyo4cOHq6mpSatWrdJzzz2nX/7yl5KkpKQk3XnnnXrooYd02mmnaejQobr//vs1cOBAFRcXu7WaAHzET/0/IFEElAAkcXo3AOfZeaOc1bUjdWlOxzfEMEFbQOhGUEk4aZbe71t7Y5mgmzJlivbv3685c+aotrZW48ePV0VFRfgmNzU1NUpO/vIH1MbGRn3ve9/Tnj171KNHD40cOVL/9V//pSlTpoTnufvuu9XY2KhbbrlFBw8e1Pnnn6+KigplZGQ4vn6AFbgWZSRGTwLuI6CEJRhFaR1+PQOAYHEyqPRSMOmV07u57IGZSktLVVpaGvVva9asifj3Qw89pIceeqjT5SUlJWnevHmaN2+eVU2EzbxyY1L6UbAbA1HgFZx7GYe+25stW5Zdp71y8PE2wkkAsI5XAq42dl2fsm25Xgon7cYNcgAzWdnfspof+1mMGvwC7wNgBkZQwjL8+uddfvzCBcAb7DzN26uODxLjHVnphyDSa+EyAHgVp3oDMAUBJSxFSJk4P46etHKksMm/qANe0vv9kA6dktStZaTXpKlpiDc+k164FmVX/BA4AgA6Rh/KPSaMnvRjPxBIBKd4+5Dbo+E4wMaP9wxArLJ2NLndBMBWdo+e5PRuAIhkQkjnhqCuN2AqAkrAZW6Hk24H2gBgN04XBgCgc4R1ANxGQOkiu26UYwK3QzcAgHcwog1tvBYmcwdvIFjs/GHfhP5TkELKIK0r4BX+TcgCzoRRcSYUWdP5+T3ycwAPwHu8FnwBAOCGIAR3Jq2jn/uDQLwCkyD02PKB200IJA64HTPhvTEhyAbgTYwcg9WcCJFNHK3b+/2Q200AfIsfzHE8k8JJAJE4YsfJS3cSNiV8MiGIMw3vCQBEciI4YhQlAMBkpvQRCPH8w5RMAIgFAaXLgvKrninF1gSmvBdeKlZe+mEAABA/wmMAXuGl79Dd4ceQ0rR1MqVfCJgiGOkYjMABODjvganBO5d6AEAQFlxWj9LlMgcA7GBSf8G0QK87/LQugF+ZmSLAMqb9wmdSwXVakNcdgFlMveadidcHhP0IjQHAXM99cq7nwz2vtx8ICgJKOC6IQZ1p62xacA3Am7w6goxAzBxsi+7L2tHkdhMABIBXQz6vtttkpp4tB+9jzzKA3R9wE8Mo0wI7OwVpXQHAKwjGgoXRuQCsZHf/ytT+g5fCPtNHfpq6jQE3EVDCNUE4KJu4jnZ/oeIXNQDdQZAUHF4Oib06ehgIIr6bWsvk0K+NF9roBBMHKgGd4WidAC/eUdjUg5OJAZ4VXq0Z4dt1AwC/8HJA5nW8918w9XqwgJu82Neyg8l9CZNHJ5raLgBdI6CE6/wW5pm8LqYG1Z3hSypgNq+PJCMo8z9G5QKAPUwKKk1qS1dM7i+6gf4e2hBQGoJTD7x/oPZb0AoAbiFQ8jdCYQB+4MQP/17pW7gZDnopmATQOVKxAPHC6DmvhnxeaLMT25+gHfAOTi39EoGZc5x+r+0Iu70+ahgA7OJkWOjVYNIL/UbALaluNwCIpu3AfdmQ7S63pHMUGABuyNrRpPrh6W43w1a79vRX3lf2O/Z6q2tH6tKcbY69HgDAOb13JOvQ8Fa3m5GQV2tGGN8nOt6xweGNfdfZslwA/kNAGTCHd2ap19B6t5sRM1ODSq8Fk14YPQvAu9Jr0tQ0xPvXDyKktBcjVQH4jdf6Vm44PlSMJ7AkkEwc/T94UaACyh5bPtBnowdZsqy+25v1yQhrT/Fx6pc9LxZSE4JKr4WSTrPj9G4umAzAaYSU9nAjnDT9WqZcZgFArLw4irIjQQ4d6U8CnQtUQAnvO/ag7kSR9kMR4dczAF7l9GnesIefRk5y/UkAAAB7EFAGlBdHUR7v+PDQqsDSD6Ek2uux5QO3mwDAIxhFaR23wknTR08C8A+n+lV+GkUZRH7pY3JTVNiJgNIwXr6As9v8ctC3klOjJylUgDf1fj+kQ6ckWbIsu65D6dYoSkLK7vPTyEkAALyCM+jgVaQKAcaBy9/YvgDQPQRsiXPzvWP0JIBo/PCDOgMyvIntBsTG+0dpF3EDD8A+fL4AtHEzcCKkjJ9f3zMTrz+ZtaPJ7SYAtvDa90AGBgBA9xFQGsjJX/copv7k5Hb1w6/RANAZvwZudnD7vfLK6Enu4A0gUYzG8xa2FxA7kgUQUgIALGHnCDO3g6fVtSNdD99Mx/sDAM4g9EJH6NvDywgoAZ+hKAGAfQjhojPhfbEzxDbx9G4A8bPzzB++g+N4BMlAfAgoDeX0abMUVH9wejtyerd/LFq0SHl5ecrIyFB+fr42bNjQ4bwvvviiJk6cqD59+ujEE0/U+PHj9dxzz0XMEwqFNGfOHOXm5qpHjx4qLCzUO++8Y/dqIAFeOtXU7VGUbUwI40zC+wEAziP8MhvbB1aLp78mSStWrNDIkSOVkZGhMWPGaNWqVRF/f/HFF3XZZZfp5JNPVlJSkqqrq9st46KLLlJSUlLE47vf/a6VqxWBdKGbvHYB584QUnqbn7afnz5XXrB8+XKVlZWpvLxcmzZt0rhx41RUVKR9+/ZFnf+kk07Sfffdp6qqKr3xxhsqKSlRSUmJXnnllfA8jz76qH72s59p8eLFWr9+vU488UQVFRXpyJEjTq2W75l6c4ygjDQjlDPrtHdTwmsAcBIhGJzE4BT3xNtfW7dunaZOnarp06dr8+bNKi4uVnFxsbZs2RKep7GxUeeff75+/OMfd/raM2bM0N69e8OPRx991NJ1O1bg9rAeWz5wuwkx4wAAk7F/+seCBQs0Y8YMlZSU6IwzztDixYvVs2dPLV26NOr8F110ka655hqNGjVKw4cP1x133KGxY8dq7dq1kr4YPblw4ULNnj1bV199tcaOHavf/OY3+vDDD7Vy5UoH1wx+ZFIQZVJA57QgrbfVobuXRi0DiI8bAwYIKc3j1jbx04AVRIq3v/bEE09o8uTJuuuuuzRq1Cg9+OCDOuuss/Tkk0+G57nxxhs1Z84cFRYWdvraPXv2VE5OTviRmZlp6bodi4QBETioeRPbrXNe+mHCSg0NDRGPpqb2I+6am5u1cePGiMKUnJyswsJCVVVVdfkaoVBIlZWV2r59u772ta9Jknbu3Kna2tqIZWZlZSk/Pz+mZQJeE6SwzsRQ1qTQGoD5+JEdgAli6atJifXXqqqq2gWPRUVFCfXFfvvb36pfv34aPXq0Zs2apU8//TTuZcQq1bYlw7MO78xSr6H1bjcDMSKc9LY+7zYrNdXaL8pHj35xivzgwYMjppeXl2vu3LkR0w4cOKCWlhZlZ2dHTM/Ozta2bds6fI36+noNGjRITU1NSklJ0S9+8QtdeumlkqTa2trwMo5fZtvf4G/pNWlqGmLfpRp27emvvK/st235iWgL7S7N6fhz43WmBZMS4SQA87jRl3q1ZoQuG7Ld0ddEdIxo9Re3+2pSYv212tpaS/pi3/rWt3TKKado4MCBeuONN/SjH/1I27dv14svvhjXcmJFQGmBvtub9ckIe6651XtHsg4Nb7Vl2Z0hpPQGt8JJO3955vqT1tm9e3fEEPz09HTLlt27d29VV1fr8OHDqqysVFlZmYYNG6aLLrrIsteAc3q/H9KhU5LcbkZcTAwpJX8GlSYGk04JyjVVARPZ2cfyI0JK97kZTjJoxXvs7KtZ5ZZbbgn//5gxY5Sbm6tLLrlEO3bs0PDhwy1/Pca3o0Mc5ABvy8zMjHhEK3r9+vVTSkqK6urqIqbX1dUpJyenw2UnJyfr1FNP1fjx4/WDH/xA3/zmNzV//nxJCj8v3mXCX4Ie7Pgh1DPxdO5jMXoSgKnc6kcxes89vPeIVyx9NSmx/lpOTo4tfbH8/HxJ0rvvvtut5XSEgNIDuE4KovHj6Ek4Ly0tTRMmTFBlZWV4WmtrqyorK1VQUBDzclpbW8PXTRk6dKhycnIiltnQ0KD169fHtUygK6YHVG0Bn8khXzRebLNXWHmDnKwd0a9VBaBrfv4+S1AGO9j1meHsua4l0l8rKCiImF+SVq9e3e2+WHV1tSQpNze3W8vpCKd4o1Oc6m0mRrfCSmVlZbrppps0ceJETZo0SQsXLlRjY6NKSkokSdOmTdOgQYPCIyTnz5+viRMnavjw4WpqatKqVav03HPP6Ze//KUkKSkpSXfeeaceeughnXbaaRo6dKjuv/9+DRw4UMXFxW6tJnzK1FO9j2f6qd9eCySdCKeDPgoYABAbt0Nh+ob+F29/7Y477tCFF16oxx9/XFdccYWWLVum119/XU899VR4mR9//LFqamr04YcfSpK2b//iEhFtd+vesWOHnn/+eV1++eU6+eST9cYbb2jmzJn62te+prFjx9qyngSUFrH7GiluXYtSIqQ0jZsFyO5fm/kFzR1TpkzR/v37NWfOHNXW1mr8+PGqqKgIX1i5pqZGyclfbvvGxkZ973vf0549e9SjRw+NHDlS//Vf/6UpU6aE57n77rvV2NioW265RQcPHtT555+viooKZWRkOL5+iI0d16G0+2Y5XnRsEGhCWOm1YFIyf+QsAEju9qG4HqVz3A4nEQzx9tfOPfdcPf/885o9e7buvfdenXbaaVq5cqVGjx4dnudPf/pTOOCUpOuvv17SlzfrSUtL05///OdwGDp48GBde+21mj17tm3rSUCJmBBSmoFfx2CX0tJSlZaWRv3bmjVrIv790EMP6aGHHup0eUlJSZo3b57mzZtnVROBDnllFOXx3AgrvRhIuoHRkwC8jpDSfiaEk/QPgyOe/pokXXfddbruuus6XN7NN9+sm2++ucO/Dx48WH/729/ibWa3BDKg7LHlA302epDbzfAcQkp3uV18vHqtnh5bPnC7CYBtsnY0qX64eXf8c4NXQ8o20YLD7oaWfgwjGT0JwCpOnKHmdv+JkNI+JoSTgN8EMqD0KjdP827jdpENKrfDSQBIFKd5J86PAWN3eD2ctPIGOQAQK0JK6xFOAvbw5pAoQwXl+nmEZc4y4f12YvRkUD4/AOzj9QALHXNy23J6N2AOP3w/NOG7PIGadUx6L53at7x6Jh28hz3NY0w5OJhQaIOA9xmAk+wa4eVk4ENICQCIlSl9Kye8WjPCqHDNi3j/AHsF54jsI6YU0sM7swjQbGLSe2vK/gYAsSKk9BdGT7aXtaPJ7SYAiIMp3+slQrZEmfa+mbRPAVYheUC3cXC0VhDfTz+cvgOgc04HP4SU/uCX7cj1J523aNEi5eXlKSMjQ/n5+dqwYUOH8/7zn//Utddeq7y8PCUlJWnhwoXt5pk7d66SkpIiHiNHcp1YxM6k7/imhW2m4/0CnEFAaTGnghbTRrWZVHC9zLT30bT9DID9CFJgCqfDSa+MnkTXli9frrKyMpWXl2vTpk0aN26cioqKtG/fvqjzf/rppxo2bJgeeeQR5eTkdLjcM888U3v37g0/1q5da9cqALYjdIuNie+Tk31G+oNwUmD3th5bPnC7Cb5jWrjmNbx/APyOUZSIFdsO3bFgwQLNmDFDJSUlOuOMM7R48WL17NlTS5cujTr/2WefrZ/85Ce6/vrrlZ6e3uFyU1NTlZOTE37069fPrlWAg5wMYEz7vs91KTvGewM4L7ABpR+Y+GuGSddO9ApT3zOn9i87Rx3zQwSCgGvRdY6gy3vc2GZ2hueMSnZWc3OzNm7cqMLCwvC05ORkFRYWqqqqqlvLfueddzRw4EANGzZMN9xwg2pqarrbXMSASwHZjyAuksnvh4n9RsAq5iVcPkAR5cAZK94nAEHjxmm0hJTewbZCRxoaGiIeTU3Rf5w5cOCAWlpalJ2dHTE9OztbtbW1Cb9+fn6+nnnmGVVUVOiXv/yldu7cqQsuuECHDh1KeJkwR5BHUbZhxOAXeA+cQ26C46W63QB0T+8dyTo0vNXtZkTVVnx7Da13uSXmMfWLSRsTR+cCcE7v90M6dEqS282w1K49/ZX3lf1uNwOdcCuc5NqT1snc2aTUVGuPHUePfhFEDh48OGJ6eXm55s6da+lrdebrX/96+P/Hjh2r/Px8nXLKKfr973+v6dOnO9YO+MPhnVnG9pFerRmhy4Zsd7sZjvNCMOl0H5I+IZxGQOkDJoeUEkHlsUwPJiVnCxG/mgHBlF6TpqYhzn/+CSnNxchJdGX37t3KzMwM/7uja0X269dPKSkpqquri5heV1fX6Q1w4tWnTx+dfvrpevfddy1bJmCKtrAuCEGlF4JJICiIxG1C8NKeqddadEKQ1x0ATEIQZh43t4ndoyftuP5kUK87m5mZGfHoKKBMS0vThAkTVFlZGZ7W2tqqyspKFRQUWNaew4cPa8eOHcrNzbVsmXCX06PFvNA38PNp315bNy/sL0B3MYLSJ0wfRXmsII2o9FohYRg/gDZ2n+bt1ihK6ctAjNGU7iMwhh3Kysp00003aeLEiZo0aZIWLlyoxsZGlZSUSJKmTZumQYMGaf78+ZK+uLHOW2+9Ff7/Dz74QNXV1erVq5dOPfVUSdIPf/hDXXnllTrllFP04Ycfqry8XCkpKZo6dao7KwlfMPlU72P5aUSll0JJIGgCHVD22PKBPhs9yO1mWMZLIaXk76DSa8Gk5Hw4afcoY+7gDaArnPLtLrfDSa496V9TpkzR/v37NWfOHNXW1mr8+PGqqKgI3zinpqZGyclffu/58MMP9dWvfjX878cee0yPPfaYLrzwQq1Zs0aStGfPHk2dOlUfffSR+vfvr/PPP1+vvfaa+vcnZHdC3+3N+mQEn1m3HRvueS2s9HIw6UbfkoErcEOgA0q7UUhj46eg0ovBJADvy9rRpPrh0U93NJmboyjbEFK6w+1w0gl2nN6N2JWWlqq0tDTq39pCxzZ5eXkKhTrfXsuWLbOqaTCYGwM+vDKK8nheCCu9HEq2oX+JICGg9BmvjaI81rEHXy8VaT8UDX4hAxCNE3fzJqQMFlOCSUZPAjCJV0PKNiaFlX4IJYGgIqC0mRujKL0cUrYxPaz0QyjZxo1wkptIATAN16W0H+EkAC/wQ1/KTccHhHYHln4OJN3qczJ4BW4hoPQpPxXWaAdmJ0NLP4WRx6P4ADCBCaMo2zCa0nqmBJNO4vRuAPHy+ijKjnQVIHYVYPo5gOyMn/ugEgNWEB0BJTypowN2d4q634vA8dwKJ50oRtwgB7COE6d5m4bRlNYxLZz0+ujJrB1NbjcBcE0Qru/v15CyM0ENIAG0F/iA0ok7ebtVTP00ijJWQQsZAcAvTBpF2YbRlIkzLZiUnAsnGT0JeJ+b/agghpSI5GafljPs4Cb2Pp/jAINo2C8AmMjE0W279vQ3MmwzGe8XAHQPgy6Ci22PICOlcIib11ggjMKx3NwfuNYIYB87T/10ckSYiSGlRFAZC5PfI1P3KwDmcrsPRVAVPGxzBB3JVUC4XWBhBvYDAOgek0M4t5j+njgZTnJ6NwArEVjBSfQV4Tb2QAe5PXqMA06wub39ndr/uUEOYA9GUUYyPZRzghfeAy/sS7HiBjmA8/0pt78/S4SUQcF2BggoJQUr0DChyMJ5bHcAXuOVYMkLIZ2V2tY3SOscK0ZPArAL4ZW/BW37uj1wC+YitXCYCR9GwqpgMWF7m7DfA/Aer4SUkv+DOy+um5f2HwDmMuG7tBS8ECsoTNmupuznCDb2woDiABQMbGcgWOw+BZQRYrHxYpgXjZdDV8JJAH5kSpgFa7A9gUikFy4wZTQZ4ZW/mbJ9TdnfAXiTl4OmYwM+r4R8XmtvNG7sM4T3gHPc+G5pyvdqiVDLL0zajibt3wi2hPbERYsWKS8vTxkZGcrPz9eGDRs6nHfJkiW64IIL1LdvX/Xt21eFhYWdzu+WIF2H8lgcjPwpqNs1qJ9jdJ8f65pd3AhivBxSHsu0wPL49pjQpu7yy75yPG6Qg3hQ0/zPpHAL8WP7AdHFnWIsX75cZWVlKi8v16ZNmzRu3DgVFRVp3759Uedfs2aNpk6dqr/+9a+qqqrS4MGDddlll+mDD4IdJJg0qiyoYZZfmbQ9TdrPgY5Q17zBj8FTtIDQjpDQqddxm1v7CKMnYRJqmn1M+o4tEXJ5FdsN6FhqvE9YsGCBZsyYoZKSEknS4sWL9fLLL2vp0qW655572s3/29/+NuLfv/71r/WHP/xBlZWVmjZtWoLNhtV670jWoeGtbjcD3WDalybAK6hr8ev9fkiHTkly/HXTa9LUNMT/P3z4MTy0mx8DbCAR1DR7mdZnOrwzS72G1rvdDMTIxHDS6T4kA1jQmbj2xubmZm3cuFGFhYVfLiA5WYWFhaqqqoppGZ9++qk+//xznXTSSR3O09TUpIaGhoiHH5n24ey9I5mQy6NM3G6m7d9ANE7UNadrmt9PBSWIwvHc3CcYPQmTBKmvxvfMLx3emWVk8IUvsY2A2MSVahw4cEAtLS3Kzs6OmJ6dna3a2tqYlvGjH/1IAwcOjCicx5s/f76ysrLCj8GDB8fTTHSTiWEXOmbi9nLjSyPXn0QinKhrfq1pbgYzhJRow74AfIm+mjNM/O4tmTk6D2ZvF1P3ZQSXo3vkI488omXLlumPf/yjMjIyOpxv1qxZqq+vDz92797tSPvcCDhM/fWPg5X5GPEKuC+WuuZWTfM7gim4vQ84FdL7fVQ0zGF6Xw1dY6SeWdgWQHziugZlv379lJKSorq6uojpdXV1ysnJ6fS5jz32mB555BH9+c9/1tixYzudNz09Xenp6fE0DTZoC79Mus4KvmByMGlq6A5E40Rd83NNc+talG2Cck1KtOd2OAmYiL6ac0y7FuXxuDalu7wQTJrcn0RwxbVXpqWlacKECaqsrAxPa21tVWVlpQoKCjp83qOPPqoHH3xQFRUVmjhxYuKt9SnTAx0OXuYwfdSk6fsycDy/1rUgjbgiqAoeE7Y5156Eifxa0zri9vdOk7+TS4ymdIsX3nPT910EV9x38S4rK9NNN92kiRMnatKkSVq4cKEaGxvDd4qbNm2aBg0apPnz50uSfvzjH2vOnDl6/vnnlZeXF77+Sa9evdSrVy8LV8UaPbZ8oM9GD3L8dftub9YnI9z/wt0RRlO6j0LSMa4/ie7we12zm9ujKKUvAytGU/qfCeEkYDJqGo7HaEpneCGYdJvbPyrAfHEHlFOmTNH+/fs1Z84c1dbWavz48aqoqAhfjLmmpkbJyV8GKb/85S/V3Nysb37zmxHLKS8v19y5c7vXejiOoNJ5XgkmKTjwKupa95kQUkqc8u13poSTTo6eDNJoaFiDmuYs00/1btMWnhFUWs9rwaRX+pYIprgDSkkqLS1VaWlp1L+tWbMm4t+7du1K5CUCyfRRlMciqLSfl4oH4SS8jrrmH4SU/mNKMClxaje8IUg1zYT+k1dCSomg0mpeCycB03knAQkIrwU9XgrRvML060yahtO7geicHnllUnBjUqCF7mFbAvACr3135/qU3ePV989r+ymCJ6ERlH7n1nUo25jwS2A8jj3QeeXXQxN5tWB4LVQHEAxcl9L7TAsnTQrhAcAKjKiMnRcDyWO53dekz4hYEFDCUpz6HT+3i0V3UGgAHMuUa1Eei1O+vce0YFJyJ5zk+pNAbEwZ3OGlU72Pd2z4RlgZyevBJOAl3k1GfM7rwQ+nKXeu7f3x8ntkwj7K6d1A59wIOEwcZZZek2Zk6IX22E4AvMzL3+3bePX0Zav56X3ww36JYGAEZQfcPs1bMufXwO7g9O8vURgAwF2c9m0uk4NJE0N3AOby8kjKYwVxVKVfAslj0QeFlxBQGs4PIWWbIIaVfi0IJoyeBGAuE0/1PhanfZvD5GBSci+c5PRuID6m9Zn8ElK2OT6480tg6cdA0kT0HRErAkoPMK3gWuH44M5PBdyvoWQbUwoMp3cDZvNCSCkxmtItpgeTANBdfgspj+XVwDJogaTf+6XwHwLKTphwmncbP4aUx/JyYBmkA78p4SSA2GXtaFL98HRXXtv0kFIiqHSal4JJTu0GvMXE/pKfQ8pjRQv+3A4tgxZGHi9IfVT4BwEljBTtgOp2cQ/6QZ5wEoCfEVTay0vBpORuOMnp3YC/BCWkPF5XAWF3A8ygB5CdCXq/Fd5FQOkhJv4q6KRYD7SJfAHgIN4508JJTu8GvMMLoyiPdWyQRljZfV4LJiVGTgKwXlBDys4QMNrDtH6taf1ImI2AsgsmneYtEVLGwrSDstdRVADvc/M0b8l7IWUbRlUmxouhZBvCScDbTO4rEVLCbvSD4XXswR5EYASnmLivMXoS8CYvBz/pNWnhBzrm9ffIhH2U07sBfyNAgl3Yt+AH7MUxMDEQ6bu92cjwCP7B/gX4iwnBhwkBUHcRVn7p2PeC9wOAKUz/DkuQBKuZuk+Z/lmEeczckxEzPvSwg6n7lYk/FgCIjx9CyjZBDOf8us5+2i8BmM/UQAnew74EP2FvjpHJwYipYRK8if0JgN38GAYdP5rQLwGeH9fpeKbsjyaMcgb8wgvfZwmW0F3sQ/Ab9mif8EIRhtm4bECwLVq0SHl5ecrIyFB+fr42bNjQ4bz//Oc/de211yovL09JSUlauHBhu3nmzp2rpKSkiMfIkSNtXAPEwqQAxJRQyE5eCy291l4rBGE/BGCu3juSCZmQENP3G/qV1ounvyZJK1as0MiRI5WRkaExY8Zo1apVEX8PhUKaM2eOcnNz1aNHDxUWFuqdd96JmOfjjz/WDTfcoMzMTPXp00fTp0/X4cOHLV+3Nmbv1YYxeRSlxEEAifPCvmP658/Lli9frrKyMpWXl2vTpk0aN26cioqKtG/fvqjzf/rppxo2bJgeeeQR5eTkdLjcM888U3v37g0/1q5da9cqwKOCGA5FCwGdDAPdfn1T9H4/ZNT+Z9KPB4BfeOH7bRvTwyaYhf0leOLtr61bt05Tp07V9OnTtXnzZhUXF6u4uFhbtmwJz/Poo4/qZz/7mRYvXqz169frxBNPVFFRkY4cORKe54YbbtA///lPrV69Wi+99JL+/ve/65ZbbrFtPVNtWzJc0VaIPxkRrI4GEuelL2+wx4IFCzRjxgyVlJRIkhYvXqyXX35ZS5cu1T333NNu/rPPPltnn322JEX9e5vU1NROA0y4I2tHk+qHp7vdjLDe74d06JQkt5thhKCFhG4xKZgEgDZtodOh4a0utwSm8kowSf/SevH215544glNnjxZd911lyTpwQcf1OrVq/Xkk09q8eLFCoVCWrhwoWbPnq2rr75akvSb3/xG2dnZWrlypa6//npt3bpVFRUV+r//+z9NnDhRkvTzn/9cl19+uR577DENHDjQ8vX0xh5uEK+M4uKggK546ZRur3zuTNPQ0BDxaGpqP0KnublZGzduVGFhYXhacnKyCgsLVVVV1a3Xf+eddzRw4EANGzZMN9xwg2pqarq1PPgXgRGcYuK+xuhJwD5e+a57LK+EUHAW+4X/xNJXkxLrr1VVVUXML0lFRUXh+Xfu3Kna2tqIebKyspSfnx+ep6qqSn369AmHk5JUWFio5ORkrV+/PrGV7gIjKH2M0ZToiJe+rPk9nOzx1l6lJlv7GT3a+sX2HTx4cMT08vJyzZ07N2LagQMH1NLSouzs7Ijp2dnZ2rZtW8JtyM/P1zPPPKMRI0Zo7969euCBB3TBBRdoy5Yt6t27d8LLhTVMG0UpfRkcMZoSdjExnASAaBhNiWMRTrrH7b6alFh/rba2Nur8tbW14b+3TetsngEDBkT8PTU1VSeddFJ4HqsRUCagx5YP9NnoQW43I2Z9tzcTUkKSt4JJdN/u3buVmZkZ/nd6unOB1Ne//vXw/48dO1b5+fk65ZRT9Pvf/17Tp093rB3wHk75hh1MDScZPQnYz8t9od47kgkpA8yLwST9zdi52Vczlff2eCTES6fzwh5e3P5+Hz1pt8zMzIhHtKLXr18/paSkqK6uLmJ6XV2dpdeP7NOnj04//XS9++67li0T3WNyMGJqmATvMe1mOADc4cXvwW2403cwsc39L5a+mpRYfy0nJ6fT+dv+29U8x9+E5+jRo/r4449tu88Ae32CvBqceLk4IzGE0+hMWlqaJkyYoMrKyvC01tZWVVZWqqCgwLLXOXz4sHbs2KHc3FzLlgl/I1hCd5m+/5j8IwEA8xBUBoOXtzN9Tnsk0l8rKCiImF+SVq9eHZ5/6NChysnJiZinoaFB69evD89TUFCggwcPauPGjeF5/vKXv6i1tVX5+fmWrd+xvLnno1sIrILB69vZqz8CeFFZWZmWLFmiZ599Vlu3btWtt96qxsbG8F3ipk2bplmzZoXnb25uVnV1taqrq9Xc3KwPPvhA1dXVEaMjf/jDH+pvf/ubdu3apXXr1umaa65RSkqKpk6d6vj6oWNeCEhMD5lgJvYbLFq0SHl5ecrIyFB+fr42bNjQ6fwrVqzQyJEjlZGRoTFjxmjVqlURfw+FQpozZ45yc3PVo0cPFRYW6p133rFzFWAxL38vPpaXAyx0jO2KzsTbX7vjjjtUUVGhxx9/XNu2bdPcuXP1+uuvq7S0VJKUlJSkO++8Uw899JD+9Kc/6c0339S0adM0cOBAFRcXS5JGjRqlyZMna8aMGdqwYYP+8Y9/qLS0VNdff70td/CWuAZlt3jtWpTH4yY6/uSXL19wzpQpU7R//37NmTNHtbW1Gj9+vCoqKsIXTa6pqVFy8pdfmD788EN99atfDf/7scce02OPPaYLL7xQa9askSTt2bNHU6dO1UcffaT+/fvr/PPP12uvvab+/fs7um7wB26gg1h5JZj0wo8DXrZ8+XKVlZVp8eLFys/P18KFC1VUVKTt27e3u+C/JK1bt05Tp07V/Pnz9f/+3//T888/r+LiYm3atEmjR4+WJD366KP62c9+pmeffVZDhw7V/fffr6KiIr311lvKyMhwehWRIC9fj/J43EjHH/wSStIHtVe8/bVzzz1Xzz//vGbPnq17771Xp512mlauXBmuaZJ09913q7GxUbfccosOHjyo888/XxUVFRE17be//a1KS0t1ySWXKDk5Wddee61+9rOf2baeSaFQyPhvcg0NDcrKylJh7ncsv4OSFbwcUh7LL8U6qPxUFEwdPXm0tVl/3vsr1dfXR1zQOBF2HtesbCes17btv3b+HKWmmtGpNe2O3p0hpEQ0Xgkm25gSUB49ekR/Xzuv2/XCzuNaIm3Mz8/X2WefrSeffFLSF6fCDR48WLfffrvuueeedvNPmTJFjY2Neumll8LTzjnnHI0fP16LFy9WKBTSwIED9YMf/EA//OEPJUn19fXKzs7WM888o+uvv96CNfWutu1/3iVzjalrnfFrn4eg0lv8Eky2MaUvevToEf2jcq5ldY2+mrP89alAt7SdEmzKwQWx8ds2MzWcBGAGrk2J43ltfzAlnPSr5uZmbdy4UYWFheFpycnJKiwsVFVVVdTnVFVVRcwvSUVFReH5d+7cqdra2oh5srKylJ+f3+EyYS4/fW8+FqcIe4Mft5NfP1NwHqd4W8Drp3pHw+nfZvNrESCcBNyRtaPJU6MoJU77hveCSYlwsjsaGhoi/p2enh71jqcHDhxQS0tL+LS3NtnZ2dq2bVvUZdfW1kadv7a2Nvz3tmkdzQNv8dOp3sc7NvxiVKUZ/BZIAnYhoLSIH0NKiaDSNH4NJgG4z4shpURQGUReDCaDIu3tDy0/FS659YvvPoMHD46YXl5errlz51r6WggWP4eUbQgr3RWEYJL+KaxEQImYHHvg8XshN01QDvqMngTQHQSV/uf1YJLRk92ze/fuiGt1RRs9KUn9+vVTSkqK6urqIqbX1dUpJycn6nNycnI6nb/tv3V1dcrNzY2YZ/z48XGvC+AGwkpnBCGUbBOUfiqcE5xPjwOCErBwrUr7Be09DspnBzCdHwIUrlHpP37Ypn74bLktMzMz4tFRQJmWlqYJEyaosrIyPK21tVWVlZUqKCiI+pyCgoKI+SVp9erV4fmHDh2qnJyciHkaGhq0fv36DpcJbwjKd+3jtV0HMUhhml2OfS95P4HuYQSlxfx6qndHji/qjK5MTFC/HEmEk4BpvHqq9/EYUeltXg8k4a6ysjLddNNNmjhxoiZNmqSFCxeqsbFRJSUlkqRp06Zp0KBBmj9/viTpjjvu0IUXXqjHH39cV1xxhZYtW6bXX39dTz31lCQpKSlJd955px566CGddtppGjp0qO6//34NHDhQxcXFbq0mLBKEU707c3yoxujKrhFEBrv/CvsQUNogaCHlsQgsY8MB/QuEk4CZ/BJSSpFBF2Gl+fwYTDJ60nlTpkzR/v37NWfOHNXW1mr8+PGqqKgI3+SmpqZGyclfBgznnnuunn/+ec2ePVv33nuvTjvtNK1cuVKjR48Oz3P33XersbFRt9xyiw4ePKjzzz9fFRUVysjIcHz9YL2gh5THIrBsj0AyEn1Z2IWA0iZBDimPRWD5BQ7iAOA+wkoz+TGUbEM46Z7S0lKVlpZG/duaNWvaTbvuuut03XXXdbi8pKQkzZs3T/PmzbOqiTAMIWV00cI5v4aWBJFdo18LOxFQ2oiQsr2ODmh++TLAATt2jJ4EzOanUZTREFa6y8+hZBvCScB7CClj01mQ54XwkiASMBMBpc0IKWPTVbBnyhcFAkhrEE4C3uD3kLINYaUzghBKtiGcBLyLkLJ74gn/rAozCRydQV8YdiOgdAAhZfdxMPQPwknAW4ISUrY5PkQjsExckAJJAP5CSOkMgkXvoD8OJxBQOoSQEkFHMAl4V9BCymMRWMaGMPJLjJ4E/IGQEvgC4SScQkDpIEJKBBXhJOB9QQ4pjxUtiAtaaEkY2THCScBf2oIZgkoEFeEknERA6TBCSgQN4STgH4SU0XUW2Hk5vCSIjA/hJOBfjKZEEBFOwmkElC4gpERQEE4C/kNIGZ9YQz4ng0yCR2sRTALBQEiJICGchBsIKF3SFtwQVMKPCCYBfyOktB6hoTcRTgLBwinf8DuCSbiJ22a5jCAHfsM+DQQDwQyCjs8AEFyEOPAj9mu4jYDSAD22fECoA19gPwaCJWtHEyENAon9HkDf7c0EOvAN9mWYgIDSIIQ78CpCdiDYCGsQFITyAI5HsAMvI2iHSbgGpWG4NiW8hFASQJu20IZrU8KvCCYBdIRrU8KLCCZhGgJKQxFUwmQEkwA6wg104DcEkwBiRVAJLyCYhKk4xdtwBEEwDfskgK5wGiz8gv0YQCI4bRYmYr+E6RhB6QGMpoTbCCUBJILTvuFVBJMArMCISpiAUBJeQUDpIceGRISVcALBJAArcNo3vIJgEoAdjg2ICCvhFIJJeA0BpUcxqhJ2IpgEYDVGU8JkBJMAnMKoStiNYBJeRUDpcYyqhFUIJQE44dggiLASbiOYBOAWRlXCSoSS8AMCSh9hVCXiRSgJwE2MqoQbCCUBmIawEokimISfEFD60PGhE4EljkUoCcA0jKqEEwgmAXgBYSW6QigJvyKgDABOAwehJACvYFQlrEQoCcDLjg+iCCyDiUASQUFAGTCMrgwGAkkAXnd8sERgiVgRSgLwKwLLYCCQRFARUAYcgaU/EEgC8DtOA0dnCCUBBFG0IIvQ0nsIJIEvEFAiQrSgi9DSHASRAMDoShBIAkBHOgq7CC7dRxAJdI6AEl3qKBQjuLQPQSQAxI7A0t8IIwGg+wgunUMQCSSGgBIJ6ypEI8DsHCEkANgjWqBFaOkNhJEA4KxYwjRCzC8RPgL2IaCEbWIN4PwUZBI6AoCZOgq+CC7dQRAJAN6RSCjnhVCTsBEwCwElXEeoBwBwS1dBGQFm4gghASC4CP8AxIuAEgAAoAOxhmxBCTIJHQEAAGAHAkoAAIBusjK4szrsJFQEAACA6QgoAQAADEKgCAAAgKBJdrsBAAAAAAAAAIKLgBIAAAAAAACAawgoAQAAAAAAALiGgBIAAAAAAACAawgoAQAAAAAAALiGgBIAAAAAAACAawgoAQAAAAAAALiGgBIAAAAAAACAawgoAQAAAAAAALiGgBIAAAAAAACAawgoAQAAAAAAALiGgBIAAAAAAACAawgoAQAAAAAAALiGgBIAAAAAAACAawgoAQAAAAAAALiGgBIAAAAAAACAaxIKKBctWqS8vDxlZGQoPz9fGzZs6HT+FStWaOTIkcrIyNCYMWO0atWqhBoLALCH1cf1UCikOXPmKDc3Vz169FBhYaHeeecdO1ehW6hrABBMH3/8sW644QZlZmaqT58+mj59ug4fPtzpc5566ilddNFFyszMVFJSkg4ePNhunry8PCUlJUU8HnnkEZvWIhI1DQCCKZGaduTIEd122206+eST1atXL1177bWqq6uLmOf73/++JkyYoPT0dI0fP77dMnbt2tWu5iUlJem1116Lq/1xB5TLly9XWVmZysvLtWnTJo0bN05FRUXat29f1PnXrVunqVOnavr06dq8ebOKi4tVXFysLVu2xPvSAAAb2HFcf/TRR/Wzn/1Mixcv1vr163XiiSeqqKhIR44ccWq1YkZdA4DguuGGG/TPf/5Tq1ev1ksvvaS///3vuuWWWzp9zqeffqrJkyfr3nvv7XS+efPmae/eveHH7bffbmXTo6KmAUBwJVLTZs6cqf/5n//RihUr9Le//U0ffvihvvGNb7Sb79///d81ZcqUTpf15z//OaLuTZgwIa72J4VCoVA8T8jPz9fZZ5+tJ598UpLU2tqqwYMH6/bbb9c999zTbv4pU6aosbFRL730UnjaOeeco/Hjx2vx4sUxvWZDQ4OysrJUmPsdpSanxdNcALDM0dZm/Xnvr1RfX6/MzMxuLcvO41q87bT6uB4KhTRw4ED94Ac/0A9/+ENJUn19vbKzs/XMM8/o+uuvt2hNreF0XWvb9l87f45SUzOsWxEAiNPRo0f097Xzul3XwjVtwLftqWn7fm1J7T3e1q1bdcYZZ+j//u//NHHiRElSRUWFLr/8cu3Zs0cDBw7s9Plr1qzRxRdfrE8++UR9+vSJ+FteXp7uvPNO3XnnnZa2uStu9tXOu2QudQ2Aq44ePaJ/VM61rq4Z0FeLVSI1rb6+Xv3799fzzz+vb37zm5Kkbdu2adSoUaqqqtI555wTMf/cuXO1cuVKVVdXR0zftWuXhg4dqs2bN0cdYRmr1Hhmbm5u1saNGzVr1qzwtOTkZBUWFqqqqirqc6qqqlRWVhYxraioSCtXruzwdZqamtTU1BT+d319vaQvNiQAuKXtGBTn7zqdLzPULLVatrgvl6kvCuux0tPTlZ6eHjHNjuP6zp07VVtbq8LCwvDfs7KylJ+fr6qqKqMCSifqWoc17WhT1PkBwCltxyGr6prbNS1eVVVV6tOnT7gjJ0mFhYVKTk7W+vXrdc0113Rr+Y888ogefPBBDRkyRN/61rc0c+ZMpabG1f2Ki+t9taPmnSUBIFjajkNBrGuJ1LSNGzfq888/j+i3jRw5UkOGDIkaUHblqquu0pEjR3T66afr7rvv1lVXXRXX8+OqkAcOHFBLS4uys7MjpmdnZ2vbtm1Rn1NbWxt1/tra2g5fZ/78+XrggQfaTV9T95/xNBcAbPHRRx8pKyurW8tIS0tTTk6O1tTac1zr1auXBg8eHDGtvLxcc+fOjZhmx3G97b/xHvvd4ERd66imrXvtxwm2GgCs1d269mVN+42FrfpSrDUtXrW1tRowYEDEtNTUVJ100kndrlff//73ddZZZ+mkk07SunXrNGvWLO3du1cLFizo1nI743Zfbf3fnLnGJgB0xbq65m5fLR6J1LTa2lqlpaW1Owsg3n5br1699Pjjj+u8885TcnKy/vCHP6i4uFgrV66MK6S07ye8bpg1a1bEL3kHDx7UKaecopqamm6HAiZraGjQ4MGDtXv3bstPYTFJUNZTCs66BmU96+vrNWTIEJ100kndXlZGRoZ27typ5mZ7RoaHQiElJSVFTOvuSBMkJqg1TQrOsYH19J+grKtVdc20mnbPPffoxz/u/EegrVu3WtK2jhx73B87dqzS0tL0ne98R/Pnz/d8PQ5qXQvKcUEKzrqynv7jx7pmQk3rSr9+/SLqwtlnn60PP/xQP/nJT+wLKPv166eUlJR2d/Spq6tTTk5O1Ofk5OTENb/U8dDWrKws33+gJCkzM5P19JmgrGtQ1jM5Oe77i0WVkZGhjAx3r9Vkx3G97b91dXXKzc2NmKc71ySxgxN1Leg1TQrOsYH19J+grKsVdc2EmtbmBz/4gW6++eZO5xk2bJhycnLa3Tzm6NGj+vjjjzvtqyQiPz9fR48e1a5duzRixAhLl92GvpozgnJckIKzrqyn//iprtlZ03JyctTc3KyDBw9GjKLsqg7EIj8/X6tXr47rOXFttbS0NE2YMEGVlZXhaa2traqsrFRBQUHU5xQUFETML0mrV6/ucH4AgHPsOK4PHTpUOTk5EfM0NDRo/fr1xh37qWsA4D/9+/fXyJEjO32kpaWpoKBABw8e1MaNG8PP/ctf/qLW1lbl5+db2qbq6molJye3O/3OStQ0APAfO2vahAkTdMIJJ0TUge3bt6umpqbbdaC6ujpisEpMQnFatmxZKD09PfTMM8+E3nrrrdAtt9wS6tOnT6i2tjYUCoVCN954Y+iee+4Jz/+Pf/wjlJqaGnrsscdCW7duDZWXl4dOOOGE0Jtvvhnza9bX14ckherr6+Ntrqewnv4TlHVlPb3NjuP6I488EurTp0/ov//7v0NvvPFG6Oqrrw4NHTo09Nlnnzm+fl1xuq75dT+KJijrynr6T1DWNSjr2ZnJkyeHvvrVr4bWr18fWrt2bei0004LTZ06Nfz3PXv2hEaMGBFav359eNrevXtDmzdvDi1ZsiQkKfT3v/89tHnz5tBHH30UCoVCoXXr1oV++tOfhqqrq0M7duwI/dd//Veof//+oWnTptm+PvTV7BOU9QyFgrOurKf/BGldo0mkpn33u98NDRkyJPSXv/wl9Prrr4cKCgpCBQUFEct95513Qps3bw595zvfCZ1++umhzZs3hzZv3hxqamoKhUKh0DPPPBN6/vnnQ1u3bg1t3bo19B//8R+h5OTk0NKlS+Nqf9wBZSgUCv385z8PDRkyJJSWlhaaNGlS6LXXXgv/7cILLwzddNNNEfP//ve/D51++umhtLS00Jlnnhl6+eWX43q9I0eOhMrLy0NHjhxJpLmewXr6T1DWlfX0PquP662traH7778/lJ2dHUpPTw9dcskloe3btzuxKglxsq75eT86XlDWlfX0n6Csa1DWszMfffRRaOrUqaFevXqFMjMzQyUlJaFDhw6F/75z586QpNBf//rX8LTy8vKQpHaP//zP/wyFQqHQxo0bQ/n5+aGsrKxQRkZGaNSoUaGHH37YsfeZvpo9grKeoVBw1pX19J8grWs0idS0zz77LPS9730v1Ldv31DPnj1D11xzTWjv3r0Ry73wwguj1r2dO3eGQqEvAspRo0aFevbsGcrMzAxNmjQptGLFirjbnxQKWXT/dQAAAAAAAACIkzV3egAAAAAAAACABBBQAgAAAAAAAHANASUAAAAAAAAA1xBQAgAAAAAAAHCNMQHlokWLlJeXp4yMDOXn52vDhg2dzr9ixQqNHDlSGRkZGjNmjFatWuVQS7snnvVcsmSJLrjgAvXt21d9+/ZVYWFhl++LKeLdnm2WLVumpKQkFRcX29tAC8W7rgcPHtRtt92m3Nxcpaen6/TTT/fE/hvvei5cuFAjRoxQjx49NHjwYM2cOVNHjhxxqLWJ+fvf/64rr7xSAwcOVFJSklauXNnlc9asWaOzzjpL6enpOvXUU/XMM8/Y3k6YLyg1TaKudcVrdS0oNU2irnWEuoZoglLXglLTJOpaR7xa16hp0VHTPCaBO5dbbtmyZaG0tLTQ0qVLQ//85z9DM2bMCPXp0ydUV1cXdf5//OMfoZSUlNCjjz4aeuutt0KzZ88OnXDCCaE333zT4ZbHJ971/Na3vhVatGhRaPPmzaGtW7eGbr755lBWVlZoz549Drc8PvGuZ5udO3eGBg0aFLrgggtCV199tTON7aZ417WpqSk0ceLE0OWXXx5au3ZtaOfOnaE1a9aEqqurHW55fOJdz9/+9reh9PT00G9/+9vQzp07Q6+88kooNzc3NHPmTIdbHp9Vq1aF7rvvvtCLL74YkhT64x//2On87733Xqhnz56hsrKy0FtvvRX6+c9/HkpJSQlVVFQ402AYKSg1LRSirvmtrgWlpoVC1LWOUNcQTVDqWlBqWihEXfNbXaOmRUdN8x4jAspJkyaFbrvttvC/W1paQgMHDgzNnz8/6vz/+q//GrriiisipuXn54e+853v2NrO7op3PY939OjRUO/evUPPPvusXU20RCLrefTo0dC5554b+vWvfx266aabPFHwQqH41/WXv/xlaNiwYaHm5manmmiJeNfztttuC/3Lv/xLxLSysrLQeeedZ2s7rRRL0bv77rtDZ555ZsS0KVOmhIqKimxsGUwXlJoWClHX/FbXglLTQiHqWkeoa4gmKHUtKDUtFKKu+a2uUdOio6Z5j+uneDc3N2vjxo0qLCwMT0tOTlZhYaGqqqqiPqeqqipifkkqKirqcH4TJLKex/v000/1+eef66STTrKrmd2W6HrOmzdPAwYM0PTp051opiUSWdc//elPKigo0G233abs7GyNHj1aDz/8sFpaWpxqdtwSWc9zzz1XGzduDJ9a8N5772nVqlW6/PLLHWmzU7x4LIK9glLTJOqa3+paUGqaRF3rjFePR7BPUOpaUGqaRF3zW12jpnXMi8eioEt1uwEHDhxQS0uLsrOzI6ZnZ2dr27ZtUZ9TW1sbdf7a2lrb2tldiazn8X70ox9p4MCB7T5kJklkPdeuXaunn35a1dXVDrTQOoms63vvvae//OUvuuGGG7Rq1Sq9++67+t73vqfPP/9c5eXlTjQ7boms57e+9S0dOHBA559/vkKhkI4eParvfve7uvfee51osmM6OhY1NDTos88+U48ePVxqGdwSlJomUdf8VteCUtMk6lpnqGs4XlDqWlBqmkRd81tdo6Z1jJrmPa6PoERsHnnkES1btkx//OMflZGR4XZzLHPo0CHdeOONWrJkifr16+d2c2zX2tqqAQMG6KmnntKECRM0ZcoU3XfffVq8eLHbTbPUmjVr9PDDD+sXv/iFNm3apBdffFEvv/yyHnzwQbebBsAQ1DXvC0pNk6hrADrn15omUdf8WNeoaTCV6yMo+/Xrp5SUFNXV1UVMr6urU05OTtTn5OTkxDW/CRJZzzaPPfaYHnnkEf35z3/W2LFj7Wxmt8W7njt27NCuXbt05ZVXhqe1trZKklJTU7V9+3YNHz7c3kYnKJFtmpubqxNOOEEpKSnhaaNGjVJtba2am5uVlpZma5sTkch63n///brxxhv17W9/W5I0ZswYNTY26pZbbtF9992n5GR//DbS0bEoMzOTX+QCKig1TaKu+a2uBaWmSdS1zlDXcLyg1LWg1DSJuua3ukZN6xg1zXtc3/PS0tI0YcIEVVZWhqe1traqsrJSBQUFUZ9TUFAQMb8krV69usP5TZDIekrSo48+qgcffFAVFRWaOHGiE03tlnjXc+TIkXrzzTdVXV0dflx11VW6+OKLVV1drcGDBzvZ/Lgksk3PO+88vfvuu+GiLklvv/22cnNzjSx4UmLr+emnn7YrbG2FPhQK2ddYh3nxWAR7BaWmSdQ1v9W1oNQ0ibrWGa8ej2CfoNS1oNQ0ibrmt7pGTeuYF49FgefmHXraLFu2LJSenh565plnQm+99VbolltuCfXp0ydUW1sbCoVCoRtvvDF0zz33hOf/xz/+EUpNTQ099thjoa1bt4bKy8tDJ5xwQujNN990axViEu96PvLII6G0tLTQCy+8ENq7d2/4cejQIbdWISbxrufxvHJXuFAo/nWtqakJ9e7dO1RaWhravn176KWXXgoNGDAg9NBDD7m1CjGJdz3Ly8tDvXv3Dv3ud78Lvffee6FXX301NHz48NC//uu/urUKMTl06FBo8+bNoc2bN4f+v3bumCW1MADjuBfhGH4HCwxaXJpsPJ8k3NsDt1pcW6TZvV1wcwu3xragT9AHKHiainvpDvfcwbfO+f3ASYX3ReQPD2Kv18vNzU0eHh7y/PycJJnP5zk/P/98/dPTU4bDYS4vL/P4+Jjb29v0+/1sNptSV+Ab6ErTEl1rW9e60rRE13SNJrrSta40LdG1tnVN0zStLb7FQJkky+Uyh4eHqaoq0+k0u93u87m6rjObzf54/d3dXU5OTlJVVSaTSdbr9Z5P/H+a3PPo6Ci9Xu/L4+rqav8Hb6jp5/m7nxK8D03ven9/n7OzswwGg4zH4ywWi7y9ve351M01uefr62uur69zfHycg4ODjEajXFxc5OXlZf8Hb2C73f71O/dxt9lslrquv7zn9PQ0VVVlPB5ntVrt/dx8P11pWqJrSbu61pWmJbqW6Br/ritd60rTEl1L2tU1TdO0NviVtOg3vAAAAADAj1L8PygBAAAAgO4yUAIAAAAAxRgoAQAAAIBiDJQAAAAAQDEGSgAAAACgGAMlAAAAAFCMgRIAAAAAKMZACQAAAAAUY6AEAAAAAIoxUAIAAAAAxRgoAQAAAIBiDJQAAAAAQDHvVaiXXhH2bqUAAAAASUVORK5CYII=",
|
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"text/plain": [
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"<Figure size 1600x600 with 6 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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|
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"text/plain": [
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"<Figure size 1600x600 with 6 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1600x600 with 6 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plotter = Plotter()\n",
|
|
"\n",
|
|
"# plotting at fixed time t = 0.0\n",
|
|
"plotter.plot(trainer, fixed_variables={'t': 0.0})\n",
|
|
"\n",
|
|
"# plotting at fixed time t = 0.5\n",
|
|
"plotter.plot(trainer, fixed_variables={'t': 0.5})\n",
|
|
"\n",
|
|
"# plotting at fixed time t = 1.\n",
|
|
"plotter.plot(trainer, fixed_variables={'t': 1.0})\n"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"interpreter": {
|
|
"hash": "56be7540488f3dc66429ddf54a0fa9de50124d45fcfccfaf04c4c3886d735a3a"
|
|
},
|
|
"kernelspec": {
|
|
"display_name": "Python 3.9.16 64-bit ('dl': conda)",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.9.16"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|