{ "cells": [ { "attachments": { "cannon.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "# Learning from cannon trajectories: Deterministic example\n", "One day for no particular reason you take your cannon and go to the park to shoot off some cannonballs. You can control the launch angle, $\\theta_0$ and the launch velocity, $v_0$ of each shot. On top of that, the wind is blowing and your shots will be affected by wind resistance. But, your cannon is very unsteady and wobbles constantly, randomly varying the initial velocity and angle of each shot. Plus because the wind is randomly blowing, wind resistance varies each time you shoot a new cannonball.\n", "\n", "Your friend is standing (well downrange!) and can measure the trajectory of each shot -- it's vertical and horizontal distance traveled at each point in time. Because of the random variation affecting the cannon each time you fire, each trajectory will be slightly different. Can your friend infer the average value of the launch angle, velocity, and the wind resistance by observing enough shots?\n", "\n", "![cannon.png](attachment:cannon.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## First grab the packages we need\n", "\n", "We'll also set a default tensor type." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Setup what we need\n", "import sys\n", "sys.path.append('../..')\n", "\n", "import matplotlib.pyplot as plt\n", "import tqdm\n", "\n", "import torch\n", "torch.manual_seed(62)\n", "torch.set_default_dtype(torch.float64)\n", "\n", "from pyzag import ode, nonlinear" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define the model\n", "Our model can be defined as a system of ordinary differential equations of the form\n", "$$ \\dot{v} = h - c v$$\n", "and\n", "$$ \\dot{z} = v $$\n", "\n", "where $v$ is a vector of two components containing the x and y velocity of the cannonball, $z$ is a vector giving the position of the ball, $h$ is a vector defining graviational acceleration, and $c$ is a constant related to the wind resistance experienced by the ball in flight. We can expand this vector description into explicit equations for the $x$ and $y$ components of the velocity:\n", "$$ \\begin{bmatrix}\n", "\\dot{v}_x\\\\ \n", "\\dot{v}_y\n", "\\end{bmatrix}\n", "=\n", "\\begin{bmatrix}\n", "0 \\\\ \n", "-g\n", "\\end{bmatrix}\n", "-\n", "c\n", "\\begin{bmatrix}\n", "v_x \\\\ \n", "v_y\n", "\\end{bmatrix} $$\n", "where $g$ is now the regular scalar gravitational acceleration.\n", "\n", "We can trivially do this for the position as well:\n", "$$ \\begin{bmatrix}\n", "\\dot{z}_x\\\\ \n", "\\dot{z}_y\n", "\\end{bmatrix}\n", "=\n", "\\begin{bmatrix}\n", "v_x \\\\ \n", "v_y\n", "\\end{bmatrix} $$\n", "\n", "In addition, we need initial conditions for the velocities, which we can define as:\n", "$$ \\begin{bmatrix}\n", "v_x \\\\ \n", "v_y\n", "\\end{bmatrix} =\n", " \\begin{bmatrix}\n", "v_0 \\cos \\theta_0 \\\\ \n", "v_0 \\sin \\theta_0\n", "\\end{bmatrix} $$\n", "where $\\theta_0$ is the cannon launch angle and $v_0$ is the magnitude of the scalar launch velocity. We will let the position of the cannon be zero, i.e. $z(0) = 0$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Rate form\n", "In pyzag we can split the definition of the model into a couple of parts. The first is just the mathematical definition of the ODE. We need to define this as the full system of four ODEs, two equations each for the velocity and the position. We'll call this full system of equations $\\dot{s}$ where $s$ is a vector given by\n", "$$ s =\n", "\\begin{bmatrix}\n", "v_x \\\\ \n", "v_y \\\\\n", "z_x \\\\\n", "z_y \n", "\\end{bmatrix} $$\n", "\n", "In addition to implementing the rate form of the equations we defined above, we also need to define the Jacobian, given by\n", "$$\n", "J = \\frac{d \\dot{s}}{d s}\n", "$$\n", "and return this value, along with the actual equations, as part of the `forward` operator. The reason we need the Jacobian is explained in the next cell." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Define the rate form of the model\n", "class CannonRateForm(torch.nn.Module):\n", " \"\"\"ODE equations defining the canon trajectories\n", " \"\"\"\n", " def __init__(self, c, g, theta0, v0):\n", " super().__init__()\n", " self.c = torch.nn.Parameter(c)\n", " self.h = torch.tensor([0,-g])\n", " self.theta0 = torch.nn.Parameter(theta0)\n", " self.v0 = torch.nn.Parameter(v0)\n", "\n", " def forward(self, t, s):\n", " \"\"\"Rate form and Jacobian of the model\n", "\n", " Args:\n", " t (torch.tensor): time (not actually used in this example!)\n", " s (torch.tensor): concatenated velocity and position vectors\n", "\n", " Returns:\n", " s_dot (torch.tensor): the state rate, i.e. the rate of change of velocity and position\n", " J (torch.tensor): the derivative of the state rate with respect to the state, i.e. the velocity and position.\n", " \"\"\"\n", " v = s[...,:2]\n", " # Define the rate form\n", " v_dot = self.h - self.c * v\n", " s_dot = torch.cat([v_dot, v], dim = -1)\n", " # Define the Jacobian\n", " I = torch.eye(2, device = s.device).expand(v.shape + (2,))\n", " zero = torch.zeros_like(I)\n", " Jvv = - self.c.unsqueeze(-1) * I\n", " Jzv = I\n", "\n", " J = torch.cat([torch.cat([Jvv, zero], dim = -1), torch.cat([Jzv, zero], dim = -1)], dim = -2)\n", "\n", " return s_dot, J\n", "\n", " def y0(self, tshape):\n", " \"\"\"Define the model initial conditions\n", " \"\"\"\n", " z = torch.zeros_like(self.theta0)\n", " y0 = (self.v0 * torch.cat([torch.cos(self.theta0), torch.sin(self.theta0), z, z], dim = -1)).expand(tshape + (4,))\n", " return y0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will be changing these values a lot below, but let's define the model with some reasonable values for the parameters $c$, $\\theta_0$, and $v_0$ and give a value for the gravitational acceleration:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "c = torch.tensor([1.0])\n", "g = torch.tensor([1.0])\n", "theta0 = torch.tensor([torch.pi / 4])\n", "v0 = torch.tensor([1.0])\n", "rate_model = CannonRateForm(c, g, theta0, v0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Discrete equation\n", "Next we need to apply a numerical time integration scheme to this ODE so that we end up with a discrete (generally) nonlinear system of equations. We'll use the Backward Euler scheme here, which will transform the ODE into an implicit system of algebraic equations we need to solve to find the next set of velocities and positions as we march through the trajectory in time. Specifically, the Backward Euler scheme will give us the equations:\n", "$$\n", "0 = s_{n+1} - s_n - \\dot{s}_{n+1} \\Delta t_{n+1}\n", "$$\n", "where $n+1$ means the next time step, $n$ means the previous time step, $\\dot{s}_{n+1}$ means we have to evaluate the change in velocity using the velocities for the *next* step, making this an implicit equation, and $\\Delta t_{n+1}$ is the change in time from step $n$ to $n+1$. \n", "\n", "This equation has the form of a nonlinear recursive equation, as it is a residual equation relating the previous and next state of the canonball.\n", "\n", "We can solve this implicit equation, for the general, nonlinear case, with Newton's method provided we know the derivative of $\\dot{s}$ with respect to the state $s_{n+1}$. This is the Jacobian we make you provide!\n", "\n", "Luckily you don't need to do anything here as pyzag comes with predefined models for applying numerical time integration." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "discrete_model = ode.BackwardEulerODE(rate_model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solving the model\n", "Finally we need to define an object that will actually numerically solve our discrete equations. The inputs to this function will be the times at which we want solutions, the output will be the actual cannonball trajectories. This is often on you, the user, to define because you might want to do some postprocessing before you pass back the series of results. In our example the only postprocessing we'll do is to return only the cannonball trajectories and not the velocity.\n", "\n", "To solve the discrete equations we'll use the `RecursiveNonlinearEquationSolver` class provided in the `pyzag.nonlinear` module. This object solves for the discrete trajectories in a way that allows us to vectorize some of the time integration cost by looking to integrate `nchunk` time steps at once. Additionally, this object takes other numerical hyperparameters related to how to numerically solve for the trajectories. The default values of these parameters are fine for this examp " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "class Trajectory(torch.nn.Module):\n", " def __init__(self, discrete_equations, nchunk = 1):\n", " super().__init__()\n", "\n", " self.discrete_equations = discrete_equations\n", " self.solver = nonlinear.RecursiveNonlinearEquationSolver(self.discrete_equations, step_generator = nonlinear.StepGenerator(nchunk))\n", "\n", " def forward(self, t):\n", " n = len(t)\n", "\n", " full_trajectory = nonlinear.solve_adjoint(\n", " self.solver, self.discrete_equations.ode.y0(t.shape[1:-1]), n, t\n", " )\n", "\n", " return full_trajectory[...,2:]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "nchunk = 25 # Best value will depend on your system\n", "model = Trajectory(discrete_model, nchunk = nchunk)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulating trajectories\n", "Alright, let's simulate some trajectories. Right now things are boring and all we can do is run a single trajectory. But let's see what that looks like.\n", "\n", "We have a couple more parameters to define, the time to consider and the number of time steps." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "stop_time = 1.0\n", "ntime = 100" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The unsqueeze here are for two reasons:\n", "# 1) We've decided that even scalar inputs need to have a shape of (1,)\n", "# 2) Our batch shape is (1,)\n", "# So the shape of times should be (ntime,1,1)\n", "times = torch.linspace(0, stop_time, ntime).unsqueeze(-1).unsqueeze(-1)\n", "# Run the model\n", "with torch.no_grad():\n", " first_result = model(times)\n", "plt.plot(first_result[:, 0, 0].detach(), first_result[:, 0, 1].detach())\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simulating more trajectories\n", "\n", "Okay, now let's generate some \"data\" to use in training the model. We'll define a normal distribution for the launch angles, launch velocity, and constant \"c\" defining the wind resistance. We can change the shape of the model parameters and the input times to quickly sample a whole bunch of trajectories, after first sample the parameters." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Number of samples we want to generate\n", "nsamples = 150\n", "\n", "# Normal distribution parameters\n", "c_loc = 1.0\n", "c_scale = c_loc / 20.0\n", "theta0_loc = torch.pi / 4\n", "theta0_scale = theta0_loc / 20.0\n", "v0_loc = 1.0\n", "v0_scale = v0_loc / 20.0\n", "\n", "# Actually sample the parameters\n", "model.discrete_equations.ode.c.data = torch.normal(c_loc, c_scale, (nsamples,1))\n", "model.discrete_equations.ode.theta0.data = torch.normal(theta0_loc, theta0_scale, (nsamples,1))\n", "model.discrete_equations.ode.v0.data = torch.normal(v0_loc, v0_scale, (nsamples,1))\n", "\n", "# We need times consistent with the batch size\n", "times = torch.linspace(0, stop_time, ntime).unsqueeze(-1).unsqueeze(-1).expand((ntime, nsamples, 1))\n", "\n", "# Go ahead and sample\n", "with torch.no_grad():\n", " data_results = model(times)\n", "\n", "plt.plot(data_results[..., 0].detach(), data_results[..., 1].detach())\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Inference\n", "\n", "That's a lot of trajectories! Now let's do a test/train split and see if we can recover the average values of $v_0$, $\\theta_0$, and $c$ just by observing some trajectories. We can train our model just like a regular torch model, the only thing we'll do first is reset the parameter values to be scalars again. We'll choose our initial values randomly from uniform distributions." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# Reset parameter values\n", "model.discrete_equations.ode.c.data = torch.rand((1,)) + 0.5\n", "model.discrete_equations.ode.theta0.data = torch.rand((1,)) * torch.pi/2.0\n", "model.discrete_equations.ode.v0.data = torch.rand((1,)) * 2.0\n", "\n", "# Keep these for later reference\n", "original = {\n", " \"c\": model.discrete_equations.ode.c.data.clone()[0],\n", " \"theta0\": model.discrete_equations.ode.theta0.data.clone()[0],\n", " \"v0\": model.discrete_equations.ode.v0.data.clone()[0]\n", "}\n", "\n", "model.zero_grad()\n", "\n", "# Select our training data, our conditions are already random so...\n", "ntrain = int(0.9 * nsamples)\n", "train = data_results[:,:ntrain]\n", "test = data_results[:,ntrain:]\n", "\n", "# Define the times over which to integrate\n", "times = (\n", " torch.linspace(0, stop_time, ntime)\n", " .unsqueeze(-1)\n", " .unsqueeze(-1)\n", " .expand((ntime, nsamples, 1))\n", ")\n", "\n", "# For future visualization, save the initial predicted trajectory\n", "with torch.no_grad():\n", " orig_traj = model(times)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Now let's learn!\n", "Everything else looks pretty standard. Define an optimizer, a loss function, and some hyperparameters and go to town!" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Loss: 5.06e-04: : 100%|██████████|1000/1000\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "niter = 1000\n", "lr = 1.0e-3\n", "optimizer = torch.optim.Adam(model.parameters(), lr = lr)\n", "loss_fn = torch.nn.MSELoss()\n", "\n", "\n", "titer = tqdm.tqdm(\n", " range(niter),\n", " bar_format=\"{desc}: {percentage:3.0f}%|{bar}|{n_fmt}/{total_fmt}{postfix}\",\n", ")\n", "titer.set_description(\"Loss:\")\n", "loss_history = []\n", "val_loss = []\n", "for i in titer:\n", " optimizer.zero_grad()\n", " res = model(times)\n", " loss = loss_fn(res[:,:ntrain], train)\n", " loss.backward()\n", " loss_history.append(loss.item())\n", " val_loss.append(loss_fn(res[:,ntrain:], test).item())\n", " titer.set_description(\"Loss: %3.2e\" % loss_history[-1])\n", " optimizer.step()\n", "\n", "plt.semilogx(loss_history, label = \"Training\")\n", "plt.semilogx(val_loss, label = \"Validation\")\n", "plt.xlabel(\"Iteration\")\n", "plt.ylabel(\"MSE\")\n", "plt.legend(loc='best')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Alright, let's see how we did!\n", "\n", "Notice that while the parameters are somewhat different from the true values the average model prediction for the trajectory falls in the middle of the data. This wouldn't be a problem if you were just going to predict new trajectories. Later examples show statistical learning can provide both accurate predictions and better estimations of the true parameters." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Var\tOrig.\tPred.\tTrue\n", "c\t1.45\t1.67\t1.00\n", "v0\t1.07\t1.17\t1.00\n", "theta0\t0.32\t0.74\t0.79\n" ] }, { "data": { "image/png": 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JpaGhIaqrq3nppZdYtmzZsdc///nP88ILL7B58+Y33MbHPvYx1q5dy/79+3E6nbz00kusWLGCoaEhKisrjy33jne8A0mSuOeee065HSuyZGHxN2L8MOy9F/beB5Ge46/b3NByLqL5ApIjTsYee4bD+3YxVOKioSzCzMAo5a7js6jiwsV62wpijZcyZfGFLJxSiu0U9TVGMk9mzwTpnWNk+6L02w7ykjpCu6owHChloqiCyVApGdcbiyHZNHHnwJk3cWoChyZQDXCYGnZbAps9gc0eR3UkkGw5DGQMVPLYyeEkh4MUHpL4SOElJ71+mYAkTOpyo0y3GcysamJWWRVzfW7KHLY3d6gTOZ7aN8zDu4bY3hs59rovn2JN33Yu7ttM2/J5FL//OlyzZx9fMZ+CvffD1lthZO+xl7uTIbZMTmGMmVRNOwu7u56x3hTZ5Imz+xweldq2IupnFFM/qxiX97XTdkI3yRwIk9o6Qq4jwoBtlBf823k+uI0B28ix5crcZVzWdBlXNF1O/sgIe9Y9RfeObYijtgneUBFzzr2I2edeiNsfeFPHx+KtgSWWXsV3vvMdvve97/H8888z++g/9v9ULL0aq2bJwuKvSDYG+x6Anb8rTG3/EzY3TL0IZlxOTmog+vAT9D3xGJ12CanaZHbRCC2+CVS5cInThMIW2yKiLVfSuvJKmqtKTunPIzSTdPs4E/t2sCt9hG0+gz2Sly57NRP+csQpZqgByHoYRR/Fm8lQn3RREw0SnHDjzQh82YI4kgBDTaHZo+TVBLo9ga6kEZLAkHSEbIBkICs6iqKjyjp2VcehajhtOez2HA5HCocjjXDoZJ02YnKQCUoZp4wxyhkT5QyLGuLKqa9FtU47C/1uFge9rAh6aXE73tCnqHcyxQM7Brlvax/D8eM/FBeMHuRtXRtZVeuh9EMfxLNq1fFtCQH9m+HlmxAHH0M6KkyG0j42TdYxaFSz4JIrmTL/XMZ6swweijBwKEI+czwtKklQ0RSgcU4pTfNL8Re/dpRMj2ZJbR0ltWUYI5HniLOfPwY38UJoG3EKQllC4oyaM3jn1Hcy2zGV/c89w951T5GKFsSgYrMxfdXZLLzkCitF93+Et5xY+t+k4X7wgx/wzW9+k2eeeYaFCxcee/1/moZ7NZZYsrD4CyMEDGyD7bcXUm16pvC6pEDLuTDr7ZgNZ5N4dgOTv7+bnu4OuqtCNJZPMCc0TLEjc2xTnVI9/Y1vp+7M9zGlvu6UH2eaOUY6N7GxczcvGzp7HSV0SC1k5ZNvzq58FJs5iJbvRs33485EmDJezMzwHEojDSjmiZGQtC1KxNPPmLeXUV8XCWcUTdbQFb3wFx3xJtqeSEjYJTt2yY4DB06cOIUDhynhEQY+8gRtaSpcaap8MXTFSyJRQThVS6fcxF5fC4fdDQjpRLFXalM4o8jP2UU+Vhf5KbGrR4+JQDNNNEOg6YV5eoYp2NQ5yX3bB1jfMX5sG7WJUa7qeJ4LfRmqPvZRvGeffaIAC3cXRNOOXyMZBbE1kvGycbyeUaWBZVe/m9lrLkCSZEa74/S1h+neM8HkwImeSuWNfpoXlNGysBxP0HHK4yR0k8z+SZIvDZHvjZOXNDZ597C2ejM7pH3Hlqv31/Puae/m0oaLGdi2gx1P/oGRzo6jB1uieeESFl/+diqbp77hd2Pxj8tbTixBocB78eLF/OQnPwEKBd51dXV84hOfeM0C7+9973v853/+J2vXrmXp0qUnvPenAu8bbriBz372s0DhwJWVlb1ugferscSShcVfiHwK9twDW2+D0eMpHErbYN57YNY7yMd0ovfczcQDD9ChSoRrncwvGWB6YAzbURfrjLDTXnoh/pUfonn2CqRXRYOEMIkn9rNzaCvrhifZKko4yDSy0oniyJ7PUjnaT4ghTPcAw5nNYEbwZ0poDM+ieXIeJak6pFfU4WTVFP3BAwwEDjEQOETKETtpN2UhCJgmAcMkYJr4TRO3aeIUApcQOAXIFGqFFAGGBAYShgSaJJE5+kjJMjFZJqbIJCSVnHDjMJw4DScB4SeIC6+hEMgrBLIqmummx1fFQKCCgWA5o/5iDOUVzVCEoCQRo2Z8lMrxMTyZDAYyupDRUMgLBQ2FnFDJopIVKllhI42NjLAjTAjkk1SKDKX11ZTWllPkcVDksVPmc1CuZijvvJfy/b/Ep4cBGEz7WT/WQCY0gzPf+36mzF90TGjFJzP07Jmga+c4gx1R/uSsIElQMy3E1KWVTJlbis1x6oYu+f4EiQ0DZPZOgIAB+yhP1W9mreNFkkZBiPlsPt417V28p+09ZHtH2froA3RuO56paJgzn6VXvovqadNf+7y1+IflLSmW7rnnHt73vvdx8803s3jxYm688UbuvfdeDh48SHl5Oddeey3V1dV8+9vfBgq2AF/96le56667WLFixbHteL1evEc9N7773e/yne985wTrgD179ljWARYWp5NoH2y5FXb8GrLRwmuqE2ZcCQuvQ1QvJLNzJ+E77mT8hefZW1GGpybDwqIB6r3RY5sZVOuIz76O5nPej80dPOEjdD3ByMQLPDN8kGejCjvFdMal8hOWcWVS1A51UzvUTXF+iET1OPtdvWSkLMFMGVMm59I8MZ+iTOUJ6417+ukN7qcv1M64tw+vaTBLdjNddjFFqFTqBqX5DP58Bnc2jj0bP5aWerPoyEQJMEmQMEGiBIjhIyZ8RAiQfYMaplNuU5IZ9RcxUFRGX1E5k94T63VCqTjNYwM0jw0QyKbfcHtZoZISdhLCcewRF05iposMKq8s7g7ZNGqMQWoYpUEawZNLMBmRaWqaysXXfYBQZfUJ207FcnTtHKdj6yjDnccFqN2p0Lq4gukrqyit8516P8NZEusHSG0dAUOQkbI817iLRwLP0pctFIU7FAeXN1/O+2e+H0fUYOsf7qd9w3PH2q3UzZrLynf+E5UtVqTprcRbUiwB/PSnPz1mSjl37lx+/OMfs2TJEgBWr15NQ0MDd9xxBwANDQ309vaetI2vfe1rfP3rXweOm1LecsstRKNRVq5cyc9+9jNaW1vf9JgssWRh8T9kaCds/DG0Pwx/Eg+hBlj8YZhzDcLuJ/7UWsJ33MH44UNsa6ilsWKMxcX9x1JtppDoKVlFaM2nCbWddUID2FxulJ7RZ3hiuIcX0iF2iblkpeMz3RTToG6kl7reI9QP9lEUm6C/WbC3YpCIK4YvW0zLxHyaJuZTnKk6tp4hGQz7jxApPkR9+QhznDmacjnKUxG8iRHUdPjN7b8jAK5g4WH3gc2FbnMzrnkZyzkYz9sYz6qMZRSieRnxBv3jDCGRwUZG2MgKlRwqOaGiC+loiXgOm5xBkjMESFNjJgmIDD4pzYTbpLvMz2iolUP2WfS46jHl4xGb+nyaM6U8y9CQ0mmSqRSpVIp0OkUykcQw9NcZGRiSSkr2MG44GdFchE0XUeHG4OQaMK+RZErQzuLZLcyqDTGrOkBDsefYLLnYeJpDm0c5tGmY+ET22HplDX5mr66meUE5iu0UBfvxHIn1g6Q2DyM0ExOTbU1HuLf4afYn2gFQZZUrmq/gg7M+iDsls+WR+9j//DrMo/s3ZcFiVr7znyitb3zd/bX4x+AtK5b+HrHEkoXFn4EQ0PksbPzvgrP2n2g8E5Z8FFrPx8zliT7wIOHbb2c4EmXHlGrmlfUwv2gQ71HjyAxOxqe+m5rz/wW5qOHYZnK5MXpH1vLEcCfr0hXsYj6adLyOyJfVmDqYpHEgTeOYwG7YCXvGaC9/iY6SrchCoWlyHi3jC6lIvvKGKHBIScpth2lybqTa2U5AHn3N3czZZTJOmYxTIeuQyToVcg6ZnF0mb5fRbArIPjKZChKJMpKJIhIJN4mEimmeWhRpQiYunMeiNknhICXspIQdn9tNlc9Gvdeg3pmmTg1TJUao0bopie1DjnSe1PMNwKQQ75EADbjb7+XRCh/Vbhd55zJ2m2fT6ZxyrNZJNQ2WyQYfbarh7NpKJElCCEEmkyEejzMZjvDC3h62HuxD1tMEpCw+KcepasglWcbmDZGVXYzFUxxKe+mm4pT77nOqzKoOMK8uyML6IubXhfA7VQYORWh/cYiuXePHHMxdPhszzqhm1uqaU5pgGok8ief6SW4eBkMgEByaPsLvi55iy+TWwn7KKle1XMVH53wUW8Lg5Qd+T/sLzxZm0EkSM1atYcU734uvuOQ1zwGLv38ssXQascSShcWbQAg49CSs/z4M7Si8Jikw62pY/kmomIWRSBD53e8I3/lr+nTB3ikVLC3tYF5oCKdScLuOK0WYyz5BcOUHwVlIG+l6gu7up3nicD/P5KvZ7Wskrxz3zSlKGEzrzzNtME9V2CjMSpMMekJ72Fu5njFvD7XR6UwbW0J9ZAYyCpJp4MiFKdEOUyN2UGXsRs5pGHkZIy9h5GRMTUbXVQxdQRgSQkiF/RQgJBmhADIIuwCXQdpvZ7K4hIlgKWFPCXFbECGdXG+TRyZseoiaTqLCRVS4iJlOMtgoZ5L6zBAN4REaRsdoTA9Tmx/DYdMw7Aq6XcWwqQj1qDpRZCS7HbtNwesycbt1nE4NmyOHKkeRzdRJn68Dm1wOHvD56PDYqfD5yTovZJe0igln0bHlKnJprvbZ+PicNkKvaieS1Qx+u6mXnz5ziEROxy9lmZvoYrk2gNrWxHg+Tzp9cmrPJ2fwG5NopqBTK2ZzvoVRRwWaODlSNLXcx7KmYpY1FTO7xMfg9nH2rR8kFS0UkSuqzNRlFcw7p45g+Sm8s6I54s/0kt4+WqiHkqFzQYTfuv/AprFC3ZJLdfHetvdy3czr0CZibLz3dxx+eQMAqs3OgksuZ/FlV2N3WQ18/xGxxNJpxBJLFhavg2nCwUfhhe8VmtgCqC5Y8D5Y9nEI1mFEo4R//RvCv/kNXYqD/Y3lrC5pZ05o+FjRdsRRi/ucL+CY905M2cZEf5zOvbvY1jvC845SdlcFSbqO31BDSYPpfXlm9GcpC0fIi0nizkkGQ8McKTtMxDOCL1fE/J65zO0rpyiewJ0exZ0exZsdxpZNvEHS641Jud2MlZcxWlbORGkJqVP0J3NksxRNhimKhAlFIpDSCCte+r1lxFxeTLuEXdUo02OU5yIoEmRtTlJ2NymHi7jLS8TrJ+r2E/f4iPgDhP1Bwv4A6de4gStCx6tn8BopGtODLEjsZ17sAAsS7ZTo0RP22wR6VZUtLicbfE5iZfMYdVzJftvUY8XhrnyO1XqKT7TWMb+56YSZcLGMxk3PHeH2DV1oAmTT4PKuF/lwZZ7iT32c0VyOgYEB+vv7GRoa4tW3pCIRxpONMJQrwb/8MvoIsb03TM/kiUJLkmB2TZAzW0powUZmxyTjPUcdySVoXlDGwgsbKK4++TvQRlPEnuwhe7CQPpXdKkeWx7gl91t2T+wGIOQIcf3c67m69WomOrt44be3MXiw4BbvCRVxxjXvY/oZZ500mcDi7xtLLJ1GLLFkYXEKhIDDT8Fz/3ncnNDuhcUfgqUfB28pRizG5O23E/nNb+mwedg/pYKzi/cy9xUiKeptxnfBV4iF1tB3IELfgWF6u+PsKXexc4qDgZLjJovunMHCoSxn9uXxjuyh19hKZ0k/vZVJJv05ihLQMiixsKuU1iEbxbEIdu3kxrp/QlIESkBFCTix+R3YbRqKCKNIKRSHiWwTyKqJrAgkRZCT7XQadRwymhlwVZN8tVmlEIi0Tj4DtkQWXzROSXSS0kyM8kwEr5Y59UD+tDpgSiqazUPOHkS3e9AVJ7rqxFCcGIoDU1YQkg1TVsnb7KQdTjJOFymXm4TLRcLtJuLzknI5yasSeZtEXpXI2STSdgm3FOOzgzdzSeQZFOnkIvRRWxG9zmKOOD1sK1nB2uD5TNoLET7V0JkfHeXD1SWcM2/OCZNkeidT/Ocf9vH0oQkAijIxrj/8FFddexGhd74DSZbJHRVOvb29dHUcZHB49IQ6LcnUCbndrFhzLmUNLewdyfBS5wQvd07SOX5ihKzIY2dpVZCaiIn7SBLb0e00zilh8aWNlNScXAyePRIl+mgn+mhBiKkVbvasHOGmgVvoinUV1g808rmFn2Nl9UqObNvE+t/cRnS00CS5snkqaz5wPeVTml/3e7T4+8ESS6cRSyxZWLyK7vXwzNcLLTCgULy89KOw9GPgLsJIpoj85tdM3nY7R2QXO5prOC+0m/lFg8dEUsw3jczMGzgwNpPe9jCpSI4xv8KOZgd76u3k7IVf8LIQLIymuaIbmkcH2ZRbxz7vAXrKEvizGtMGBG39grZ+iWDq5Ju/AGSviieQxF6sYK8uwRFyYFOjqLlepKMeSGnhYFSEGBEhJvETtVWRS/nQowLNFGQ9DlJ+74mmlUKQzUn0UEKfXMS46UWjEI3x51M0pkeo0sMUSSnsNgMhO3DnBP50nqJ4lKL4JMH4OJ5M5KRxG7KNWKCJSHAq4dBUEr7aQquXvxBCEjjlGAF5DI8cxmaLUSINElRG8CujBNRh9vqn8GxoMZsCc+h01zPkLDQ0V0ydhWMdvCsY5MJlywgGg8e2+/yhMb52/y56E4XasyXD+7lB7WHu//t3bNUnzoDLZDL0vHg/HZvXclivIMnxqJAsSTROmcKMGTNoa2sjlpdYf3ic5w+PsaFjgkT2eH2WQ5WZ7nBSM64xJa9gR6J5YRmLL2kkVHGioBWGILV1mPjTvZjpwjbsC0pYN3UnP2//BZFc4btYXbuazy/6PJXOCnY88QibHrwHLZtBkmTmnn8xK975Xhzuv06bG4u/HJZYOo1YYsnC4igjewsi6cgzhec2d2Fm24p/AXcRZi5H5Hd3MXnLLXQbKhubmzinaCdLivpxHK1JijiaOeL6MDs6W9E1gSnBoWobW1od9JUeL9atJseV/bDmSIoebS/r7OuISwNUR3LM7hHM6BV4sycOz0Qm5a0i4y/HXxyjrvwgoXonsk1GxIeYMBwcMWvoFFV0i0r6RSn9UhUDZgneZIK2yV5ao31UKEkI2hmtrCDjPjHVJTIGQ6afdlsVY6bvmDiSJYESkMmVunH4XJTnoTymUxozKEoKQkkTd/7Ul2NVS+NL9uGP9+GPdxGId2HXToykpJ0+umpm0VE/m8P1szAUBV8uTjATw59JEEgl8SXTuFMaSl4gJBVDcWAoTnTFgaG60Bw+NLsPXXrtFiN/QsLAp4wTUgcIqAMMhBz8tmUZO0oajglG1dS5YGQD74q2Uz/9LLwzz8Ph9mNTJG59oZOfPXcEHQmXluXDh9fyz+87n+BVV57sKJ6JINZ+meFdT3OIKew1WwnLxcfeVhSF1tZWZs2aRWtrK0KS2dYT4en2Ef7YPspA5HjEziZJTMnJzMgrNBoyM1dUs/jSRjyBE00ujZRG7Mlu0tsKRfyyR0W9sJw7xQPcdeAudKFjl+18cNYH+cCsD5CPJXjht7dxcGNh0oI7EOTs6z5K69IVb+iQbvG3wxJLpxFLLFn8nyc2AOv+o2AoiQBZhYXvh1WfA28ZwjCI/eFRxn/8YwaiGZ6eOpPVod2sLO7Cc3R2W5haNsX/ie70QkAiY5PYM81ga5OLiKPwC11GsFo2uHqfSfngAGvtzxGPbaFuLMHcLkHlqwIwmmIn7m8iGmwmFmgiUBxhRvB5Kr3dDKZgu9bIIaOWHrOCfqMENPDlM7i0LHXxMabERqlOTlKcSxApL2K4pYxIrR/Fncdmy6GqeWxKFiFppGw2coqMLBsosoEsFdJzsiqjoOI0JGx5FVvWBpodQy88NM2JptvJ513k805SupOMrGDIBkLWKVQNGUgYyMJEQiCZJsF4nLLRUcpHxygfHcWmH4+k6IpCb00tB5pbaW+ZStztIWN3krY7SNud5GWVokiY2pEhZvUepq23i9rBwWPbMCUZzeYj4Smht6KNcLCSRu8kNtlF3ChjwqhFiFM7aMtSniM1Jk/NKmPSVyiyl4XJ/Ph+PtJ3D4FwlG3aVDZK8ziiNqFnNVJHBeWC0YO8I3OExD99iOKqMsp8Tsr9DqqDblx2BQ49hXjkE0jpcUZFEU+lFjHkayMnjosRt9vNrFmzmDdvHhUVFQghaB+O8/ieYR7bM0xf+Hitk9uENk1hjmnj/HMamX9e/UkGl7neONGHOtBGCus5WkNEzlH4/sEfsml4EwAN/ga+uuyrLKpYRO/eXay77RdEhgr+TU0Ll7LmAx/FV2TNmvt7xBJLpxFLLFn8nyWXLFgAvPST4y1JZl4FZ38ZiqYghCC1fj1jP/gvRnsHebR1IXOKD3NecTsheyHsE9WL2Zy4liO5lYBMtiLN5hlxNhc3kZMKN+SArHON5OGizWG6IlvpjD5B9cAgs3tMXPnjw9FlGCotIeNZQCIwi4SvDmQNl7ETU9tNIp9CN2QkTr7suXMaJdkkxc4UXl8Ws1yQqHORK5OR/Rp2R+ZYSu6vja7byGZ8ZLNeMhkf6UyAdCpAOh3ANE9uhCsbBiUTE1QODVM9OIgvebxNiK4oDFZX09tQz0hFxQlpQk1WSDjdRN1eEg439myWqtERpnZ2MPfwAQKpE9uNpL0Oqqsn8VVnORJq4kbxSfJmOVO0BLVaCrQgmihE2gTQU6by7Gw3Q8UF0WTTBZ6cxoLMNi4Iv8T8ib0cyNbxjD6PDcZMUrIHbz7NP7c/wQvVc9lberz2p9hjpzrkYqo/z4ciN9IaKURwupNB1mlnUbziQrr6B0gkjtegVVdXs2jRImbMmIHNZkMIwd7BGI/sGuKRXYNMJI+fPBW6xCLVyfsvmcrcFVUnRIOEYZJYP0B8XR/oAsmh4L+ogRdLd/O9bd9jIlOow7qy5Uo+u/CzuCUXmx+6ly0P34dp6NhdblZf+0FmnnWuFWX6O8MSS6cRSyxZ/J/DNGH372HdNyB51GuofgWc902ong9A9tBhxr77XSY3b+OR5iUUl41xVWgbVe7CzSxleNmSfDcHM+fiCirEpx5mXZWNrbZ5mEen07c6Ta4TQWY/286evrvxDOxlWm8em3F8KHGXxL5GN7HgIhzKhaB4jw4xipHdgZHbT8FB6ETsjhyVvjiBYApHSR6z0sAoe/3dFqaEnPdjz4VQ834UzYOseVF0N5LhQDbsyIYDySx4BkhHp7sLyURIhUiRUPKYSg5TyWLYUpi2JIY9iW6PoTsimLbXLvIWAvJZH1qqDDlZhT06hUBkKj4tAJKEjoEhDIzEIPLgHuwDe1CTk8fWz7k8DDa00DmlgbDv1JGhP5FV7CRtdjyJFE193czftwdP5vjYVKeBr17H/56P4br6M0iyjJ4ap+/JrxPZPUA6NYVRrZUxbQr7aj08N8tFxFf4XssiOq1DeSJeBb/7CBfEnuOCyZfpyVbyYH4Rz5gLWNLfTouU5veNZxLXXl1rJrhGeZavqb/GKWmkdBuPDrVxZPr7qJzWhjnZzXBvF+ZR922Xy8X8+fNZvHgxgcBRuwnDZEPHBPdu6+eP+0fRj94K7QIWOd18+qrpLJp9osO7Np4mcn8H+d44UIgyqZdWcFPnL7jnUKHxepmrjK8u+ypn1p7JRF8PT9/8E4aPHAKgYe4CzvvwJy1vpr8jLLF0GrHEksX/KQa3wxOfh8FtheehRjjvP2DaJYUb9sQE4z/+CZP3P8AztXMZr3Vwrf95pvoLv741U2Vn6nL2G2+nfIZET+V6HnE3sVuaf+wjVvgVPqT78P72LiJdT1LXO4ldP36pSjkd7K1T2DSjGJ+4kMbonGPvGfoAUmob7ng77ryGS9NxGXns5XmU2jyiQWDWGZiBU7cb0TQH6bSfTMaPSBcRTNdQkW6kOF1LOu8nAkQQJDDJSGkyaoK0EievJsirSXJqEk1Jo8t5kAQgYRMKqlCxCxWX4cRtOvGYLvyGl4DuJWj4KNGCOIUDU8mhOSfQXONo7jHy7hHy3mFynkEMR/yk8RoCBvMyvVkboxk3iYwPv+mi2HRQbjppGDEoPTSJ9+A4crYgGgVAXS25tlmkKmpJmhIJTSJqCCJyirSUP+lzACRTwp5M0trZQe3gIN5kEglQQi6Cb38vgSuuwNHYSC47wsjLn0He/UcqIzCmNdOrzeTWugt4Zmoj+aPu2nO7spy1J0PYp3C4yoY90M1FySc5b2wj2/PNbEjN4tyExvyv/zvDkpPBSIa+cJqeyRTdEynM0UN8PfddpsqDmAJeGq/ntvx5PF+8Cq8KS/wxqvRhJK2QQpMkiRkzZrBs2TKqX1FMPpHMcf/Wfn69vpuhzPF9n+Fz8elL2zhnVsWxiJAwBcmNg8TW9oJuIrlUQlc0c6C8j6+99DV644WuEW9rehv/tvjf8Khutj/+CBvv+Q2GpuFwe1jzgetpW7n6lMfY4vRiiaXTiCWWLP5PkJqAZ74GO39beG73wpmfL7huqw6EphH+3e+Y+OlNbHOWs7FlGu/1/JHFRb2ossAUEgfSq+gp+ThFs7PsdK/lPmM5B6SZQKEe6WKfk/ceHCdw/29Re3agZI8XMafsKoMhDy9Olzk8pZqZY+dSlSikaYQw8cTbqRl4hvLJTlTJINWkEp/twWzVkSriSOqrxJGQMJOlRJNBImk/qVSQdCqElPfjMkrJGCUMCTfDmIwrScYdAxiuQWTHKLJjDNk+jiSfHLE64SOEjDDcSLoXh+HFY7jwGHaChkqxUClRbTgAu5ZDSY6jJidxyQ7czhLctjK8Uhl+o4qifDUO04Vuj5Pz9ZL19ZINdJMJdpwkoAwB3TmZ9qxCe1ZhVINiFWolk6VHTGZvg+LDr0jFVQhSawzSi02EKiHnXcg5P+SD5HNu0nkn0aydcM5ONusjn3fxpx5vdl1QOjlJZU8X1UNDOHM59HnzqHnnOwlccD6JXDu9Wz+L9+B+6idyKMCwWsYnp3yOFysXA+DKmZy7K83snjwSMBpQ6KhWCPr2cWXiIeZOttMXqWH6lZ/BtfrtJ5+WyTjZRz5Dccd9AHQmirgzvIr7Si4ho7iRENTIUaYro1Qqx1N0pVW1nHvWKlqam48LISF4ZtcwP3n0IHtSmWOt7Or9Lj52bjOXz6vGoRaiY9pYmvC9h9AGCqlK9/wynBdV84uDt3Bn+52YwqTCU8E3V3yTJZVLmBzs56mf/YiRI4cBmLbiTNa8/3qcp/Desjh9WGLpNGKJJYu3NKYJO38Nf/za8Sa3s98F534DfIXWFMmNGxn91rfpGY5y/4yzON+zkXOK9+K1FX6lD+SmMtL6FXwLdF6IP87v8mdzSCp0cVeF4G0xg3f98WVKdzwO0eP9HHOKzFDIR3+Rhy2teSJlNcwcO5fyZENhAaFTMbKF+v5niJdkmFwWQJkp8IYGUOQToyNK3ocz0kI2VsVA0kVXSsEUhfofU8iMSsXsNYoZNmRk1wCKqx/F1Y/qHAD1ZJdrANlU8GpF+PKluLUSbPkiDC1IVvORyHsJmx4SknrKdQFskkGNe5zGYBeNoU6aAj2UucdPbg0iQM0W4UjU4YxNwRltxJWYgqy70Z0TpEMdZEIHSBW3o7smT1h1QpfYk1bYk1HoPdpfrnJScPlOWL7HwFEwu8YICJJnG6TPMBGv05NXGDZy6SCJtJdUOkAqFSSVKiKXdRPICspGx6g/tBuPZqBcfjmt176bcekFBvd/h+LOMFPGsyjAFv9MPj71BvrdhZYy9WMZLtmcpSh9/JY0ElToq8ozw/ks7524jxLZg/28zxbq4uyvmpa/87eYj34a2dQI51w8nViB/fIvcjDvYUdvhL2DMTxGkunqCFPkMPLR+rO8PUDN9AWct3weTaXeY8Jp8+ZBfvzIQbYaWfJHv48yr4MPnzmFdy+pw21XEYZJ/Jk+Es/3F76jYidF10xjv/0IX9rwJQaShSLv901/H/8y/19QkNn88L28fP/vEaaJt7iEiz9xAzXTZ772Abf4q2KJpdOIJZYs3rKM7IXHPgMDWwrPy2fBxf8FdYXm1drQEKPf/jajz23gwbaLqAkOcWloHTXuQrQjZhQRnvkV1CVFrB14jN9nzmO/WmhSbTcEl3VHuWrtQ5QeeB7ZKERpTGAs4GEg5GPS52S8KkJnRSPTJi6gNFVbGIfIUzS2ibGKLmzzMlTWDOB3jp0wdCXvwz3Zhjs8HS1Sz45shiF1DEM+XvA07AnRoXgYzg1junpQ3D0ojhO3AyAJiaJ8kPpcFdOy9TTnaqnLVVKhFaMbeSL5ETJ6EoHAJjnxOr24fCa5QB8xzxDD9jgDks6g5mQkXcpQqpL+RBU542RVErQlme6eYI4jyUJVo8pwoeQCqPkASt6HlFMRqQnMxAiaM4ZRJiH5i3Alm1A0L3nXGKmSPaRK9pAubj86o65AVLOxLeliezbPsC7jygnO2SW4aKtJ8dGgi+5zor59Nb4r5xPL7WZsbD3JRAxZEjhcxmtaOWmanVSyiESimESiBC1STvGoSe2hvVBTRc11V5MO3k964BlKujI0T2YxJIWf17yD7ze8H022oxo6Kw/1MfeIhCfjRz4a2jEl6C5XkYs7uTz/G5bnO5DnvgeWfBiKphwfxOAOjLuuQUmNkDMUnp6YzayP/BcNcxeQ103ah+Ns6Z5k2+FBUgPtNIgxbEeNNydNN/2OBmZOn8aatgqWNRWjAi880slvXuxhm10jeXTfizx2PrCykfctb8DrUMn1xAj//hBGLAeKRODCRuTFQf5r+39x3+FCxKutqI3vrfoeDYEGhjsO8cRPf0B0ZBhJkll29TUsufIdyPKJM/Es/vpYYuk0Yokli7ccWgae/05hlpswCim3s/694JmkqIWU2513MnbTz1hXtYJ4RRkXeO5hbqgfWQJNqERarofVZ7B+zwbuNFay1VuIQtlMwcUH+rjq0Tuo6T147CNTdpW+Ij/d5U5q0hkingQvt7XRGL/4mEiKSikSpdspbT5Ac9khvPZXuG+bMq5oC56J2bgmZhAZc9BpdDPgjpFy245FDNI2O51uiQGph6TnELL9xEgMgC/vozZbwYxME/PT05iWa8Ap7AghiGnjhPNDZG1jGP4RlIoxHKUJhDuKaUsjZI3X65MiGwJHzkBNQd9YFbvHWmlPNDEsVTNqL8V4Va+4BtVkuUPhDNnJ9JSCYp5arZhGkpxzHNOdQ9X8ONJVmEqOVPEeEmU7SJZtR6jHo23JvJOD0VJeSjgZkEZZfiDPFS+Zx+wXkm6Z3jPnUHXGu2m0+YkkNpJId5JMZonlsiAnUQJxbKEE9lAGST75VpLJeInFyslGKnH3FeMcSMG5rfjqf483MU5pZ4amWI4uVzWfbv08W4JzAaiOjHH2gT2UjztQsxXYOO6plLZLDFWnWGZ/kCvij2BrPa9gdtqwstDzJDWB8fv3oAxsQghYPz6Foqu+w6w1558wNsMU7Owa5dn1G0j2H0QWBRE9bnrYrtcQVYKsbC7lgpkVLPR7eOneDp4fjbLZoRNTCvsactv4yJlNXLusHqcuCN/fQba9cD65ZhQTensrz4+t56svfZVYLoZLdfGVpV/h0qZLyWczrPvVz2lf/ywAtdNncdGnPoc3VITF6cMSS6cRSyxZvKXoegEe/ReIdBeet70NLvwu+KsASG/bxvDXv87ehJ/dzWezSL2XM0t3HPNLipWeiTHvQ+w6OMHt7mn8sdwFgGIKzt3fzrsfvI3akSGgUGg86nezr86JaggW9cbpCxk8sXwGVZmLKE3WM6DqpMsPUl63ldnle/HYj09nlzUXnok5eMfmowzWYg4eYTjXyZ5iQaS8Ekk9Ps1+2G3S4zzCkG8/yK+oXxISnlwJzely5mZaWZmeQ41eWnhLCCL5Eca1HpK+w2iVB3HVTOII5JEkSOPCRMZFBoWTC8ZHqKCHRnqZQr9ey2i6nHzKRjAZozw5zpTkAC36AFXGOFIsSV/cx2G5nkFnFf2uGkYc5YhXhHKKiXOOq4/z/XZmijK0ERkjoyK5SpDkE9N9AoEp50AykQ0XQtZIlewmXrmJZOnOE46BacpMRis5EA2gtIdZsSlMVaFNGhM+eGylF7V2CasSC2nLNCJzomAzJY2Mu4+k/yBS0dOk/GlyXv0kq4VMxkdmshZlsJywVIZ34Toao0PUd+mUpTPcVnUF/zHlI+QUJw5D44xDu2geH6S2ZxIjX0ukeAFe7bgSHSw1qfe/wHvTt+CpmgErPl2YaGDqmI9/BnnnbwDYE6kgueLLLHv7e085dT+VSrFh40ts2bIZ86jX1JDhZ5teQ1h4UGWJZVOKOMt0ktkdpl3WedltED4alSrx2vnUmhbeubAWbeso0ce7wBCoJS6K39tG2JfkSy9+iS0jhQjtVS1X8W+L/w2n6mT/C+tY96ufo+WyuANBLvmXz1M7Y/ZJY7T462CJpdOIJZYs3hJkovD0vx8v4PZVFVJu0y4CwIjFGPvBD+h4egeb2q6hTN7KWUUPU++NApBSy8nX3EDfYCO/qg7wQK0NQy7cmFYe2MMH77md+tERAPKKzMEqF73lMvO6stSENYaK4OGVU3BxGblMI+HQIJW1m1hctY2Q67jbpJL34R1dgHd0IfZOO+bwPkYSh9lXrNI1dQYOuwPl6GUtp5j0efro8h8iaTsuskS2jKJMFUtTNVyQmc0UvRL1qDFiUosyku0i5jpIvnI/rroJREAwkS1BFzY8aooSZ/ikvmk53Ucm00wk38yg0UyH1Mx+h5cxp4ThOEV6RQhcWg53Io07lsKdSONKZKjKTFKljePUk+QkB4NKKX1yGf1SMTmOCyIPGq1yjOlyhFKRRtKzyIaJKtuxq15UxYlNqDhQ8ZoOSoSfIF4cQsVQk8QrNxGreZ6cb+CkoSWyKunnvDQ9n8WfKOxnVwXcuUZhsraEVbm5nBmZSn2mumCfYL7S8VvgU+7D4/wNMb9Kv6eNsSDIwRGkVwm0fKSa7HgDyaows1LttHZHGbWV86lpX2K7fwYAU0f6WHFkD4F8ntkbN/FUw2XIJdNpih/vGhf1gL94B+/VfkKoqLRghjrjSsTWW2Htl5AQdCdDdLd8ktUf+vRrpruSySTr169n27Ztx2wHxuwVPB8vJ01hHyuFzFWaC0faoN1msC0kGM8XBFZ9sZsbzpvKeSEv4bsOYkRzSDaZ0NUtOGYVc/Oem/nF7l8gELSGWrlx9Y3U+msJDw3w6A+/zUR/L5Iks/Kaa1n0tqssT6bTgCWWTiOWWLL4h+fw2kI0KVFoCMqiD8Kar4HTjxCCxJNP0vmDW9lccSG6S2a+62YWF3WgygJdKMRs7yCSfgd313u4vdFOyla4yM850s719/6Gqf09ACScKjsbbahoLD6ko5oQd8GDK2ro976DpFlCce1WVtRsojFwvNBb1lz4RhfiHVmEo8OGMbCTaHg/W+rKeXnBYlx2O1Xx44IqZotzxN9Bv7e/4IRtONBTLfhT9ZydrueqfC0V+JGQMITBWKaPMf0wyeK9yHV9xAIBhnIVgESJa5LGQB925cSZbxndSTzvJaO7yOg+coYbRXNSM9lKS3g6RbliMuSJSWn6vX30BgaJSSZazonIKah5gfxnXH5NITFi+ug2i+g1QuRfIZyKpRRTlTEalfCxGpzXImh6mGpU0mJU4sROxt9FpPZZEpWb4Gh9kxCFjBYauJ6V8T2loOYK3+nGNonfnC0T9ku0+EqZp46ywC7wGkFKbFeTOeBj9EAfdc5uZgQeR5JMEsZcIuYNjAX3Mly8FbmsB6f7xFl8erwCPdbKtGQPteO7ubH+Wm6s/ydMSSGUS7Fm72ZKUnFaszm6901y7/S3MdvuZm4UnEfLsrJ2cBbv4xrzvykqDhRma9p9GPddh2LmGMt62FX2AdZ86qso6snmnn8iEomwbt069u3bB4Cq2rDXtPFcJMSB0TSKgDOyKotyNgwEB0ISm5064UzhHJlbG+Tfz2mlYeMoucOF89K7qobABQ28PPIyX9zwRcLZMD67j++c8R1W1axCy2V55pc/O5aWa1m8nAs+9mnsLvepB2nxF8ESS6cRSyxZ/MOSicBTXywYTAIUNcFlN0H9MgC04WG6v/49to1XMFk8kzJxH2tK1lLiLPjWRLWppM0beKK8lp+02hl1FX6xNwz28ol7f82Cw+0AjARUDtTKtAznqTlaIpSXJX69eibbAhfj9CVYXvsSSyp2YlOO1tWYCp6JWQSGl+M8HMDo3UluaDu7ast56MzzGK2uZe5AB8WpQt2SQDDsHuaI/wjjznFMPYCemA6JNhZnKrhG+JmFDwmJvJFlKNPJGO2kKvcRLbbTo9SQFw7K3BNMDXVS/IpoFoBmqOQMG0igSgZ2RUOWBEKAlncdnRUWKlgQpANkUwEMoYAQ2HN5nNkcrkwGZyaLI5/DnsvjyOVw5XXsmoFN17HpOoquI5smkmkW6sWEiRAmAgEChCxhKJCzq6QVF1EpQNrmJK06ydjtBD0p6lyjODBIaB6SspeUy0vOHSLjKSFvt5GV8khINJilTNdrKRcBDFuSaM3zTNY9jThqR6DrNmLxEqS4TO2GMP5NOpKQyNsl7l0p8/hCMBQJhywz35VnhVej2V9F85SvMbqhg5Fn7+Ss0oPYZJP+TIBbpHmEy/20Ks3U5m3kXLtxVPbjD4ydmLKL1VA7lmY05+TTLV9m0FmOKgyWd+yhbbiXIq8XV3+KH6kz0WxOFikwO+PCf7STiaaAq7idd/FDAmUlMPfd6Ot/hJqPEss7eNn9TtZ87vvYHK8z7Q8YGBhg7dq19Pf3AxAMBpm99Ey2RZ08smsYZTzHRWk7PiGRkQS7p9jZFk+R0Qr1T5fOruTjbi/eTQXjVkdLkOJ3tzFuTvKZFz7DnvE9SEh8bO7H+PDsDyMhsXfdWtbd9gtMQ6e4po7Lbvh3QpXVrzlGi/8dllg6jVhiyeIfko5n4JGPQ3IEkGDZxwttSmwuhBCM33U/W+7ZRU/FmSjGIZZ6b2FusA9JgpzhIqZ/lF2+c/j+DIm9/sI07uLIJB9++G7O2boRWQi6y1RGggZzuwWuo4GZUW+Q3y5byjb/YmZV7GNN7YvU+o+nguzJSgKDq/B2TUMc3os2sJmwlOWRVefyxIqzaIiHaRs6jFsrhBN0SafX20tHoIOEcKDFZ6MnZhLMlnMVKlfjw4NM1kgzmDrMkLyX/opuOv1ldBjVqGqCmkA3Fd5BZDmPJgoz8kwhYQoZn6FRohmENIOQYeLLgSen4NJknJqEUxc4TR2H0LChoaIjS+Kk6f/CLDiAm7qEaUgIXcLIyxj5o3+zMnpGQcso6BkZLaWiZ2Ret1r8z8DwCYwSgV4s0IMKWomXXKiUpK0UJdNARayNsnwlSAaJyk2MNTyG6S3c5HXdxuBgG6n2UhZs2U1otCCmwpUSt1/qZnNx7tjnTHEYnOnVOafhIqY1f4XR+75Fecft2GWDkYyXewans70+w77GOAF/MVf6L8X5fB9S3RjB8j6CwZHjwsmUkcKl/NzxPjb4CzMwV4xEOefgfiJylJq6Fn68x2DC4ac4E+VyfQLTN4eSaCG6psuCUGgXV8o/wVtZhRYfxZadIK3beFG9jNVf+MkbRm6EEOzbt4+nn376WCuVlpYWLrzwIg5GDB58uQ9pS5iGfKGOa7dd52CVSn80gwBcNoUPT6/k8v0JbLpALXVR8r4ZmCGF72393jHn73Prz+WbK76J2+Zm6PAB/vDDb5OKhHG4PVzy6S/QMGf+aw3R4n+BJZZOI5ZYsviHIpeEP34Ftt1WeF7cApf/DGoLJoHZ3j62/L/f0s5MdEWhit9wTumz+G2FG+JkbhmDzo/zXzMFT4dqEJKMI5/jPU8+zDvWPY5D0zhSoZBTDdoGQAY0SWHLlDYenbqYAX8Za+pe5Mzql3Eebe0hGSq+0SUE+lai7oug972MMXGYg/WN3LfmIvZPncucwQNUT/bjMAriIatkOeI/Qo9zgnhyJnpiFma2mumYXK5qlNsnGbANcUQ6woB9gDFPkoRNQpPz8KpUVcAwaMlrNGg69ZpGva5Tp2lU6gbuv+El0pQga1NI2xTS9sIjpaqkZRWhS4isDGkgJ2HkBJHJEsJj5ZhxO6FckqJsnNJsBLthvOZnCElglIBWIzBrQrj95+PNnIFk2kiWb2es6SF0b6EgX9PsDPTPwLbRyZzte3Hk8wjg0IIAD50nsUdKYRw9XsWKyTkhJ9ct/E+qckWYd1yKYmYZy3q4v28WMVlhd1OMg/Vxgp5iPhB4G9IjnYyXOPDUDlFa1o3/qOu7icSTxhXcrbwLU1KYFs/z7Z1ZlHyESJHEb8Y0XpSduLUM/77114wsPZeIbTaVk4X9NmRBnf8FLrDfimxTsRtxcobCei5k1RdvweH2nPLYvJJcLseGDRt46aWXME0TVVVZvXo1y5YtI503ufd37aS3TSIDE7LJA54cukshnS+MoSHo4tN5GwvTILlUit/bhrMpyIMdD/Ifm/4D3dSZGprKT87+CZXeSpKRMH/44bcYPnwQSZZZfe2HmHfBJVYd018YSyydRiyxZPEPQ99meOgjx2e6LbkezvlaIZpkmhz6xQNsejlHylOFou1lpe9mZgYHAUjrASZtn+SX033cGZpDVinMcjt303o+9PDdlMYidJZL2AxBXeEex4TTz9MzF/NE1RJCRWHOq3+eeWV7jhkC2tJlBPvPwtPViti/Ba1/E6ae5cU5i3j4rAtwesooCm+hIprGZh4twFaTHPF10SN8JOJzQNhQnMPUOEZxOUcYt4+SUXKcEiGo0XVm5PLM0fK05fM05jSKjdev80lpKlpGRkrKJOMSwzHBSEIwlhZE04JoXjBhmEwqgogCMUWQViCrQtYG2CQ8domATaLIDuUeiWKPIOgSlHplKtwypW6VSqeCU5Pw5DR8Whb5FA1/AXRkOl21jKfdZEY0hjM+xilCWXwWO/yl7B4eIpd1ks3UgJDxaWkq9XbqlQ3MHx1mYZeMO6sjaSAZJ998JYcfdfZ5OCrPBPmoaGq9+5jhpabZGTzSRtUfUjT09gGQ8HnZsGw2O6YP0eEaIUMh8ueVBZdUTePjrf9K4Pf/hJSeJJxzcnfvXDKGjYzbZHPrJD2VacrcZfwr5yHdv4PDVdXkKwXlFZ2Ul3dit2fZz0x+wmdISAH8epbv7tRZFC4co0kM1qGzychyyZbbmR7t4sn3foFMrIrqicJYDEVnvvc+FjkewiFraKbMBvNcVnzp9jclmADGx8d57LHH6O0t1NSVl5dz2WWXUVVVxdCRCI/fvI98QiMvCR535ThiL0QZ/3SnPd/t4uNphSJFIXR1K555Zewc28mnn/s04WyYYmcxP13zU2aWzETXNP54y0+O1THNOfdCzr7uo8iK5cf0l8ISS6cRSyxZ/N1j6LD++7D+e4V8kL+mEE2aciYAkQO9PPfDZxlW6hFmlhrpTtaUPIvPlkcImJDO5skZs7jRs4ghV8HzqLW3i3+553amdx+htwTcOShNFOwA9hc38uisFbwUmMGs8nYublhHY7Dn2HDcEzMI9p2LdNBEbn8GI3yEvGrjqaWr2L3gHAJSglTuAHVRBVUUbgxRW5Qe9whdOMjJoDiHkB2jJ01Ph4KJZFD30WA6WSgizDAnmJLNUJXUcBinvuQlRJBI3kM6ITPcn6evL03PZJ7OpM6gpjF09BE3X19Y/W+QJRl3oAxXSSXOimqC1aVUVLmZVi2xwDHJ1EwvUzM9hMzkSevmDYXBjJ8uuR7/hR/D1XwuD+wc5oGdA8Qzx40p/a5R2urWMvdAH+c+LfBkYwBEPU66ynOURwXVR20DJIcfe+uF2BrPBFkmXvUS482/x3AWHM1NUyK/N0T1b3M4UhoCONDWxu5Z0+gK9HEkeIiUmgXAI0u8p24N1217Am9ihIzp5J7u6UzmCyIlUmyyYdoI4YBGk7eBLwzMJf2HjeybPoNoSYiiogEqKzswi3LcyOfpkppRhM77R3dw3d567ObxdFpMmEQnDlJ6eC0j9iSPvPuLeA7LlMcKUR7VFuEd/i8Qso2jmxIbzXNY+qVf43C/uWJqIQS7d+9m7dq1ZDIZJElixYoVnHnmmWgZwdpb9zHUEQVgT0CwluwJ2VSvLPMJ087F2Aic24Dv7FpGUiN84tlPcDhyGKfi5DtnfIc19WsQQrDt0QdZf9cdIAQNc+Zzyaf/7U2P1eL1scTSacQSSxZ/14S74cEPH3fhnv1OuPB74Aqiawab//sp9hxSMBU7in6AVb6bmB4oRJNSZoj90y/kP+wz2RpaAYAvmeCDj9zDxRufZTwocOYgmAZDknmudh6PtS2n013FsqqtXNzwLKWegiO2ZKj4h5fj7VtF/kAv9v1rEdkoSZebp5efjVQ5i57iMOlcF42xAMpRkRSxR+jw9tHnHkSyZU7avSItQGO2htZcHS2ZEtrECCXOrbjpwJvK8GoLRxOFtFnLqCinJwYHDkfo6pykfyJCRzZLRy5PWvz1BNH/FJfDR2lpE4GqaZTW1zJtioOpgWHmiA7maYfxi/QJyydwsbFoPgdCM9kjzWRPb5DJxPEaKAmTsyuHuHrzLmp2vYRq5jEliacWyDyyRFA7AS2DsKjXSWPEh2vqxdhql2LKeSI1TzI55VGEvSDCshk7ZY/qeJ8vzNCLl3h4aclyIr4g/d5+DgYOkjzqj+WV7XwkluKayWHsrhK29rt4ebwWXSggQVdDjk1NY+TtJmvc87juqTjRQ5PsmD+XWFExTmec8upu/lB1Di/LhXPyHHMtb+veR3HfGmryDXg4Hnkxcwn0oe3srxQ8OP8CmnelCaZNZDQuCH2bRsdODCGxUTuDpV+9F7vT9aa/k2QyyZNPPsn+/fsBKC0t5YorrqCivIKXHuxk97pCYbiz3sMjjhx7xhInrD8Lma/hpmlRFcHLm0mbaT73wufYMLgBCYkbFt7AtTOuBeDIts08/uPvoedylNY1cMW/fR1fccmbHqvFqbHE0mnEEksWf7fsvgce/yzkE+DwwyU/gllXA9C7tZfnf7WTJH6E0KjjLlaXPInflkMIGC5dxo+K27g/dDUZhwfJNLl447N88JF7MKUkigH+DGQVG49OWcGjrSuIOjycUf0ylzSuI+CMAiBrboL9Z6P0LyW/dzOeg+vA1Il5vOycsxxH5QzWNgwhp/ppjlUdE0lhe5j2UDujrtFjv8ptpsrUbAPT01OYmmlgaraOCiOMQ9mGzbEBl9l30nT8pN1Ft6OJA3ozHb05Bnb2MNDXT0c4TGc2i84/LlNLprC0fh5L6uaxtKGYIucR3MpegvJebNLxfnYmMr1KG1sdS3kut5hDqQATCOJHZ9itTkb55z2PUz6+E4BsUOK5K0yer5PpzctIBizpC3FN93wa3UtRAjXo9ijjjb8jXr8VACOjMLmlihmPjmJLg2kTDF4c4EhtCxORGnocYxwIHjgmmoK6ykciCd7tLiWV1nnhkMSheFlhwC4bL00d43BlHFmW+Vh8Fst+u4NxZzk7580lGQggK3m6plXwVMkqAOaKbXxM/zGRoXp6jlxCkd7MalRCr5DLWmqMP8z2skkPsLA9g0vTOSdwI62uFzGFxMvpuSz+2sPYvME/63s4cOAAjz32GKlUClmWWbVqFWeccQYdW8d4/reHMHSToioP5RfX8qsdfWzsPO4arwDvxc4nplVS8p42DEXwva3f4/cHCzNUr51+LZ9d+FlkSWaks4OHvvsN0rEo3qJirvziNyita/izxmpxIpZYOo1YYsni745cEp74HOy+q/C8bhlccTOE6skk8jx/00a6egr/+k6zn0WuG5kd6gIgJQV4rG4JP/BcQ39poe9WU38Pn7nrlzSMdGIAviwkbU7uaz2LJ6YsI29TWV37Ipc0PIPHUbgZKtkgRb3nkx6cj9jzR4KHNwCCqMfHYMt8tOa5/HbKQXzxcZpjjaiiEJWYdEzSHmpnzDmGikJbegrzUtOYlW6hNVuPQxjEXbtR1a1Umi/jNWIn7HrGITPsCXJYb+Clrlq69vTT19lB+9gYk/qJXklvJeyKjaW1czm3eTkXtK6kzh/GqWzHKW/FLneesGzOnEbGWEXUOIMh/AwhmDRNWiLjlPU8gxo+jEhNkF4gGHlHjoOKSntW4UBGxp4N8a8D72J+ug1JKfg0jTT/gnxJIYKodMs47vUS7C2k3+TpGuPX+RjOeRkdq2d7FvYHDpNRC1HCkryHD+hVvKO2hdEX7uaZkSbC+UKKKVvj5rHmDpJunSoCfPaFFDUvZemtr2f7/HnoDgddJRU827YQXVapF118jm/hNxLs75nDnf1X0pIP8mkjTZ0cRJIK3koTNrhphhOzL8/8rjTnBH7CVNcLGEJmU6SJJZ/6AWrz6j/r+KdSKR5//HHa2wt2GdXV1Vx55ZXocRtP/HwP6Xgel8/GRdfPZsQm+O6TB3m567hoKkbiWxXFnPuRBUhOhTv238EPt/8QgAsaLuA/V/4ndsVObGyUh777DSYH+nC4PVz+ua9YjXj/F1hi6TRiiSWLvyuG98D918HkEZBkOPMLsOpzCEnmwAt9vHjPQTRhQwiTBulxloXupthRSOEc8U/nK6638ULLuZiKijOX5bpH7+eyDU+Sl018WUjYXNw17RyebFyGqcKZNRu5rPGPuI+KJDVTTFH3xUSGZmPu+QPlRzYBkHS6iTfOp3f+PO6oeYmyeI7WWAv2o+7PEXuE/aH9SIrOotRMFiZnMCvdTA4HA74MYd82GvMbmJ/chkMcFz26DJGgnTGfh+2xZp57yU/37oMc6OtmLJs9zQf/74dpFTNY3bqGs6auptSbotixgyrbJoql9mN1XkIoZM2FpIw1ZM3F8AqjS2FomMkR0plReprzOJp2IkL76RJZ9mYURiMVfLTvQzTnagFBpOZpJpruRzh00MD3pILnaRnZlFDdOhWXORm75Bz64hsZGHXzXNTNTscw+lEjzJp0JVd7FnHhyDr6+pJsmqjDEDKy3cahmRoby3tBgkuG7Lzr4RRyUuVA2zTap09nNFDMkzOXkrU7KDXDfF76GlUMoekqa/vO5qmeNXzKGOPtU1tIbRpECTYB8GKJwi+rbSzel+Cf9R/R6lqPIRRenpzF8vPmIZ//H+Dwvelj/iebgccff5xsNovdbueiiy5iSu1UnvzFXib6kyiqzDnXTad5QRn7BmPccN9uDo4cT88tsNn48fVLqa7y83jX43x545fRTZ1llcu48awbcdvcZJIJHvn+fzB4sB3FZuPiT36OliXL//cnzf9BLLF0GrHEksXfBULA1l/C2n8HI1doV3LVL6FhBbHxDOtu3s7wQMHw0SuizLDfyLyiPSiSIIOL212ruan5OiaLygFYtmc7n7r7dryZSbzHRNIanmhcgaFIrKp5mSsbn8LtLFzobZkSijovZXxwDunDTzDlwPMAZO0OcnXzeWnlNH5f8UeqEm7aom04jYIhYMwWI+IZZ1a+kaXJWWTzpRzGxHTmUEIbmZd+lgW5Q6gcn/6ecchMFNsZL7KzYyLE00+62LdlgMOjw8emrlsUkGWFGbVLWD7tQqbXLUHzTxIq2s5i8zlm6h3HlkuKIF3GOST18ymnAsdr+DuF3XEItJMPdNDlOcxAtIQLej6A3/CiOcKMTLuNdHnB+drWJxG8U8E2LAOCQEOG8n++kPCqS9jf8WXGkzp/GPezmyRCEiimwtTYVFYaJczPbqf/iMJgOgSAUlvMwy2HmHSmCGYlvvhsnsbdEmm3i+dXrmKwqorHZi0n7vbi0/N8MfML6r0vFPYt7+bx7vNYMNbI+z9xDaP/77/I9QlsdcvJeIP8pMVOt6bzw65vMtXxErqw8Xz4MlY17MZ+1X9Dw4o/65hHo1EeeuihYzPmZs6cyfnnXsj633XSs2cCJFhxVTNz1tQiSRJP7h3m8/ftJnHUZkAGrl1Yy79e1EZ7dBv/8ty/kNEzzC6ZzU1rbiLoDKLlczzx4+9zZOsmJEnm3I98gllnnfdnjdPCEkunFUssWfzNySUK7Ur2PVB43noBXPYzTFcRe57rZ9MDHRimhALUy1uZ5f0ZNe4oAAeler5Q9CG2zFiBkGSCiRifvOcOlu7fhDsLKdXBfa2reahpNZqisLhiB9c0/wHf0fXVTBFFXZcS6VvIyODzzNrxKAC6opJtXMDdawI8G3yZinQxMyIz8OrewpCVLCWyi7mZWRzWA2xFp5ccVzq2sVw8yUypE5t0XCAl3QrjJXbGShzsHlZ46lEX214aoT8SPl1HGQDJ7kLxFqF4QijuILLLh+z0Ijs9yHY3kmpHUmxIiu1orZUECISuIQwdoecgm0TNRFAyEcxUGCMVJZuMk8qk+GtekoOeEla0XczK6Zfic4UwQoPUhp5nZX4dpXrBsdwQEn80F/KIfhFxMZ0WFJpRaDOhXD65RYihJkkHjpDVHRTHpiIhkah4mZFpv0PYUwgd/A8reJ+TkYQEksDdBMGPfYHBxoMMD99PYkLnzmSAI0ph3715L/Mn51MvHNQrBxk/aJJLqagOB32LHDzt2wsSXHFQ5x1PCJScRH99PU+uOpNnZi5l3B/Crht8vXsXLRW3k/cW2viMp4uRB1dx9Ye+R+LRRxn55reQfS3Ym9ewrXkqP2yWuWnf15hrbkIznTwe+VcWeB+ndvUqOPsrYHt9x+9XYpomL774Is899xxCCIqLi7nqqqs5sj7B3ucLJqyzz6ph5dtbkGQJzTD5t9/v4oF9w8e24bUr3HD+VGY3x/jUc58glovRHGzmlnNvodRdimka/PGWm9j33NMAnPlPH2DhJVf8z06O/6NYYuk0Yokli78po/vh3msLaTdZhXO+Acs+TmQ0zTO37mFssFAbUqTo1Em3sjC0DodikDcVbpbP52dzPkAkWJhVc96m9Xz44d8QiiXRJIVHms/g91PPJavamVlygGubH6TYf7Q2JeenuOttJHuWcyiyh0Ub70AWJqYkM9g2gzvPhr3eQxRni5gVnkVRvqgwXsmk3qhgMt/AU0gcwWCx1M310lMsVTbjekUPtpRLZrTMyWipncOTJmsfk9nwbIyB8Il1Sn9pbE4fRSX1lBbVUFFUQ0WomopAJUX+ILorR0yKEBdhEkaEnJFFxYHN4UKyedFEEF3Y0YRCHoWcUNEVk5wsETdcZPXX9vMRho4SG8I9fgh5vBN9so/k5BBjkQg5/bWNJf9cFFllYfPZnDPnnVQWNSCj4SnbzizXWubldh1bbq/ZwG/yb+NBsQhdUggg0YbCLCEx225nqqHgftXEQYGBhILuiDAy/XZSpXsAyHer1N4iocSOR6z0Kj/mtVcQrruTysEYnSOC75YUEZELRdn1iXpmh2fjUQzKXJ1ofTEyw3bcbQ3c3bCTsJSgOmry5UcNigckDFnm3suu5PGFZzBYVIZsGnxy7wCXynsZb34I8+ikAy1dx/JV/40rWcLQ579Aets2ZH814pz386O2ej44/GUWpXeQNT08FP5PqmwHWN60Gds7fgFlbX/Wse7r6+P+++8nHo+jKAoXXXQRcriUlx44AkDLwjLW/PN0FLWwzy/vHeb6u3YSfcWtubHEzQfPdnPbkS8xlhmj3l/PL8/7JRWeCoQQrP/d7Wx79EEAll51Dcvf/m7LvPJNYoml04glliz+Zuy6Cx77DOgZ8FfD2+9AVC9i97o+Nj3UiWEWqlCmqENU2r/LTH/BQLBbL+Uz5f/CyzPPAKAsPMFnf3cr8w/uQTLh2bqF3DrzEhJ2L7W+Aa5rvZf64h6g0NS2qOdCtM5z2ZPsZ8bm2/GnJtFl2LS0gQcXawy4RvHmvcyKzKIqXQUU4isBI8QmrZpNuAiQ5B3yBt4nP02NOnpsl/I2idESB0OVTvpygueezfDHxzWO9P91BFIwWMSsiqksK5/FzLIW2kqbKPcWY0qCLucA+12dHHB3cdDZzZgt/IbdR4SpgBbA1AMILYTIlyDyJUi5YpR8CFU2sas5XHIGh26CIZETNpK4ieLFPMnsABx6isDoPpS+nWSGDzM6OsxIPHGKT//zaW5ZymUz/4nGsmkAeB191JQ8yQrjWZwU0rb9Zjnrkxfy9GQ1e4M1hF0BoDCTaxqw1KkwW1WZnVawma+oe0IQq36BsWl3IZQ8uTyU3qbi3VNIy/3pYMaDIcbP9jCjbi/FY1luDAW5z1+oFXIaDuZNzKcqXYWi5Ckr6kAZHUefqObgEhvr2I5iCD75gsHyzYXPPbxgEf9x5XsYKCpHEiaX72/nEyMBtPrnmWh8AknJI4REdfU7aWr4V2K33cvET28C08TeMoOt7/tXpnbfwLxUOykjxAPh74Bwsqbox1S/7ZpCo+k/Q4yk02keeughOjoKac/58+fTUjaf53/dgWkKaqcXccGHZ2J3Fo5dZDzFZ376Ms/lTjRXXT4NRt03MpYZocpTxS/P/yW1vlqEEGx5+D5evPvXACy89EpWvec6SzC9CSyxdBqxxJLFaUfPwZNfgO23F543nwNX3EI84+aPv9jLyECh2LpUAbe8lmXeOyl2ZBACbuMc/mvu9YSPRpMufvFZPvTwb/GnMmwrm8bP57yNYU8ZQUeU9zY/wLyq3SCBZKoE+9YgdVzMvoRO2f7fUze8m5gbnllVw+OzYiTVDHbDTlu0jSnxKcjIhXsiKu35JrYKHwulQ7xbWcfFymbsUqG41wQmPG4G6uyMBWRe3pTmqccybNuRwPwLXqFkVaaupoqlVXNZU7GURdWzKXYHC4cUgyO2CfbYxtithtmjJEm+wvBSkgyQdJAMJDmPJGdBySLLaWQliaSmQD3ZB+qVSKaMI+3FlQriTAZxpopQ00WYONAlhbxkJ6l6SCtufIoXSbYxDGivuufZjRxlk+3IXS8T622nc3iYVO41XMvfJBUzV3DF3Pcxw1MofnZIMfzFT3GO8hhFUuF8mjRKOThYx+ghhY0Vc3m+Zh6TR4UTgI8cZ3iznOXLMz/ix5EtBSDnHmJ49s/J+Qu+Q8rzCmX3ywgJFATCKAjEmMtDYHacqTVj7PDb+WJ1CSNGwUpiSqaKGWMLsJt2FCVPRdkhHNFRtKJl/MzxDHmhs+qQyfVPSChZg3xFJR/6xA30FVeBEJx9cCfvH3AxxeZmtOVe0lWFiQeqGqS5+fMEh5sY+uzn0EdGkJxOxBc/h7P7OzRme5k0qnh44ltkhZ9Zrj0sW7Ab21U3giv4po+vaZps3LiRZ599FiEElZWVnDH/fDb8pgc9b1Le6OeST8zB6SmkOvVEjlt+soUfxeO8cg6n3RGjpOV2EsYIFZ4KbjvvNmr9BaPYHU/+gefuuAWAeRdcylnv+xCSfLL4tjiOJZZOI5ZYsjitxAYKabfB7YAEq7+IWHUD+58fYuP9Hehm4Rd/vSMH4kecG9yCKgsmDQ+fKv1Xnp2xBiHLhWjSXbeweP9eerzl/Gzu5ewtacEm53lbw1Nc2PgcklJI/fiGl+A6dBWHwkGyo+uZu/9hBsoEj59Vxvq6cUzZRBISTfEm2qJtx2a4mQKGtUa2mF4uUjZyrfI0bXL/sV0JS36OFBeRakrRNZzjicfjrHs6TSz5l3E/kiSJ2qo6ltXN54K6ZayonovrFXUnR4TBFklnGzp7MTgudQQ2TNwiQ6kRpdiM4TdTeMwsLjOLzcxjFxqKqSMdc/QWCGGSU3WyNo20PU/CmSXqzhDxZIn5NHT15MutbEBJzEF52EF5xEl52IHNOH6Ds6tB1KKVRF0N7JUldgud1KvEU3FmDH/PBhKHN9PR30M8leZ/SvGy87hw2ftZlC5FEZCR0qihtbzb9gfKpCgAET3AxG4JrcPFzrJGfrngHIbV+mMtcAAq5HHOrhrgn+K1+OJTMOU84y33Eq1/BgC1x0HxzSYiIRFvylM2KKOnC5EVYYfytjjSrDzfnFbEMykbAomQ7GbpWAvuRHNhG2qO6qr9BJU8Dzsy7MiFqZoUfP0RleBoDuFw8NkvfJmdlYXlVx3aydl9E5xjLsAMddE37ddIvoIBayCwkJbKzxP72s2kNmwAwPfOi3CqD1JihOmWWnl65BvowklIMVhd+gyV7387Ut3CP+v4dnZ2cv/995PJZHC73Zy76mK23ztJLq1TXOPlbZ+ai9tf+P8xUhov/nwHX5qYZBBxtPoNJDWOv/FXmOoo5e5ybj//9mOCac8zT/HHX94EQjDn3AtZ8/7rLcH0Olhi6TRiiSWL00bXCwVbgPQkOINw1a9Il5/Bup/toa+nkJYpViTitk7OUL9H29Gu8U9K8/lS2+cYLi2kxC546Xmuv//XCF3ijhkXsrZ+KUKCxeXbeX/r/dhchZutM9JM8OC76B5tZCDVy7zdv6GnJsmjKz3sLh07NqyKdAWzJ2fj0wupEyEgqVdx0FS5Unmatysv4JcK28wLlYNqIyNVDvSKIV7cmOKxPyTYu/8vM83f6/azqHEhZzYu5bLGZZS4j0c+Egg2kWeblKRTSmNKObzkKRYZAmRwSnkU2USS+bPSLG+IEEiGQAiBhkbGlibmiDHhDhNzJkjakuTkHEggm1CesFM15qJqxE1RwoaEhCrZafbPpTmwiF7FxRZ0XjKzHJBAvGKs/nyE0JHniB58kQO9nWj5/0Gtk81G4NJ3cfai97J0QMWlC7Y70kzxrOV62x8olY62SEk6iG/zkBh1cvvZNp5rWoA6MYcxYwpCKkSEnCLLBwPjvD3ZgmLaSZRvZWTGrzDVLHLSRuhmgaNTZsvSMqaovZTuciKShf1RHAaOefDC293cEdUY1ws3/QsyPsrH55E0CpEruz1Fff1uRCDBrdE4mbTEF55UmX4ghwC+//kv8mTjbADOPLST2YM9nKXNolYqYbz2j0SnPoyQskiSjfq6j+L7o43J/y4IDueiRsqbtuMmy0b3Mrb034Bdk1GA+Z4EM5bncF9+NZLy5gVJNBrl7rvvZmRkBFmWOXP5GjqfFmTieYLlbi779Dy8IQdQEEzdt+zma6OTbDxqoeq2K6T1KO6GW1Ac45S6yrjzwjuo9RUE0/4X1vHUz2+0BNObwBJLpxFLLFn81RECNv0Mnv5yobdbxWx452/o7nDy7G8OktVMJKDKbnCAJ7jeexdBe5a8UPh84Hrum3UFhqoSisf419/fyvJdO3hsygrumH4hWdVBtXeIT027g5KiEQDUbBHFh97BaO9COjI5anoeZbz8EA8t1un2HTfS82pe5kzOoSJTcew1Uw8xaehcoj7JefI2lKOprEnTz27HNOJ1grTawaN/iPP4owkSqf994XJFqJaFTSu5sHUlF1VPR5UV8uhEpCSdcoLDUoKIlEaWMril/JvXQaaJZBpggiRkJCEDChKFFJKQTUzFBEkcF1dCoCCQMTCRMCT1dT/iT+iSTlJNEnVEidljxOwxovYoLkmjZsRNbZ+vEHWSVJr8c5gWWIZL8RLF5Fk9ylP6JIftReivmLEWTA3h3PMIPQc2Mjoe/bOOKYBcVIL/g59iSekqlndrZBD80RPnHbanuF59FJ9UiMUlBh2M7fLzRJOdX50nowkvzsllpMPzyVAo7K9H5r9khQrTRc41wtDcn5L3DYAhEbhPxr1eRmtZyablHhZ2roOdKu5UIbWoeRQm3tXMfY0HeTFV2L9mycaH+m3s11eSEgWR7vGEaZyynQ77OE9GVS5er/K2DYWedT/7xL9y/4zFIASrD+1k2kgvzdkQq6R5GM4IY/PuIunbDoDXM5WG3DVEP3cTZiyG2uqmcV4XqmTyu9LL2D3yAerHC+dtvV1ifnGConcuwTmt/E0f23w+zyOPPHKsVcqcmfOJbQ+Rimj4S11c/q/z8BUVoqBGSmPslt3cNhrllxQEYLnfwXg6jLPuZhTHGAFbGfde+huqfIUfRO3rn+XJn/3ouGD6wMesGqZTYIml04glliz+qmgZePTTsOfuwvM516Cf9wM23HaE9v2FafNeGUZsCRq4iauDW1AkQbtcy0cbv8rhmlYAVu7cwmfv+iX99mJ+PO9qBnwVOJUM72u6j8V120EWSIaNop6LyB66gANpFRE/QDrwLI/OGmfIVZhajgBFKLRF22iJtRTqkgDVdOHUU5yjPsbcVzhGd+g17HNMw6xP0Bfex/13J3l5S4L/7ZWnrLieea1ncnnbWawuqSWiJJiQ4kzKCYblODnpdWp4DANZyyFpeWQtj6TnMUzIYyODg7TsIil5iSshcooXU7iQcaJKNjxCwmsWHgFTwm+CoqbIO8LkHWF0+ysKrwU48i6qzQSNdOOSR0mkJMbSlUSVIlIuNxmXHc3OaxaOJ9UkYUeYiCNCUpkkMKEzZdhNZdRDs28+bcGlOJWC43U7MX6f7aTLtDHgrMaQC0JNEiZFXS8Q3/Ewnd2df/axt81dROCjn2dOf4A5Udjq0InbYnxCfZh/Vp5GlQyECeHDHl6IlPGdK3QyLgkhJIxUC9LYCtLZVlySxJdwcRY2TCXHyPRfkags9Cx0b5AJ3KNgq16OMu/dHPFsp7JvHc4dPeiZQpRqorSY/f+U4g6XRsqUcEgSXxwLUxKfxnp5KcZRU82Skl7qGrezVc8R26rw4UdkZM3gZx/+JPfPW360hmk7rWMDeHImFxnL8MsekjXbGJvxO3QRRZIUaoLXoHxjB/mDR1BaTFrmjyBJ8NUpH+dQ9BLOaM8iAX4ZFnlUSlrdBC6bjq3szTfk3bBhA88++ywADfVTkDobSE7o+EucXPbpefhLCqlNI5ln/OY9vDie4OtShqQQlHjt+L15Rt0/QHZMYBel3HrubcyvbiicD68QTPMuuJSz/vnDlmB6FZZYOo1YYsnir0ZsAO5+DwzvAkmB8/+TyeJ38dTP9xJNF0Ly5Uqe+xyDfEX6PjN9BY+Wnznfxg9mX0/a5caVzfCJe+9k+bat/HzO5ayvmQ8IzqjYzLVTH0B2FESFd3QBzvZ3ciBcxIQeJ+d7jCdaDzLmiBbGcvRKUZ2qZt7kfBxH65IUIVOnx1mlPEqjXIhM5YXCvnwDB8UMbK3jbGvfxb13x+kZfP0C6DfCHyhj+rQ1XDxzJQvKQ4TlOGNSjJh86hodVc9iz6dwaEnsWgpbPoOsZUEI8rKTrOIip7jRbU6QVYSiIGSl8FexIVQVZAUEyKaCokkomoC8iZE3yGmChAZpwwaKF6dsp0JLUGqM4yaCYqaw6RqKbqAYAlvejl1TcEoJbCKGmU+g53XyqkzS5yPh8xH3F5EIFpPx+DDsJzd11SWNSUeYsH2clJjAnTK5InEey+QVqJKKCTxSbeO2kgyVB/cxnvIzrh5vuOqc6MR8+dd0HdqJYfwZDYNtdrzXfhjviqto3Z8mYMjscRg0SsP8h3IXK9VCVEbLyOw/XMv1M84hXr8dyRZGksDMlaBNrkSLLeA9ePjwUdvLgYYnSLfcD5LAflim6FYFm28OrkUfQVJsZJSD+IeeILrtAObRSvcj8wPcfkGcjqN9BC/NpPjsSIqHeQf9oggkCVnWqandR2n1fvYMy5x/swN3WOPH132MhxefAUKw5sA2WsYHkXWdZdkG2tSp6LY4k8vuJ+pcD4DXPY2SP5SSf3Azytw8rdMmMAVcN+tbHNIX8/ZNSZxZgQrM9yhUOmS8y6vxn1OH7HxzUcX29nYefPBBdF2npLgUz1gb6XHwFTm5/LPz8BcfFUyxHGM376E7nOKLSpZew8Bpkzl7upf1qS8j2cKIfBkfn/pDPrJyNrIsFVJyP/sRYM2SOxWWWDqNWGLJ4q9C32a45z2QGgdXEeLtt7NnSyUvvzCIIcAuQUaOss+2je+4bqPIkSEmu/lQ6ZdZP63gONzW3cGXbvspu7xN/GrmxWRVJ2XuUW5o+xXFxQVhY0uVEzr4bvr7Z9KraUSLn+GZ+pcZsxciSZKQEJLAm/eycGIJxbng0ddhqhnmbPmRY4W/cdPF1mQT/cZM5NYB1m3YwaNPhIkk8v/jw2BzuGhoW8HFsxYws7aacTVOVjq5x1uRCFMljVHFKJWMUcE4Lt7cDLGcoZAxbKQNG0nNTlJ3ENccxPJOIpqHmOEBoWI3TFx5HV82hz+VIZhI485mT2re+5cib7MRLioiXFzERHEJE6UlaHb7CcvIehaRG0GT4syzLWOJsRSAuAo/bXXwWGWeeX2PQK+DA7n55KVCLQzxUaQXf0Xf/k2Y5psXTerUGQQ//VVUbxWz96boREeX4BJ283XbnZQohfMqMu7hetun2VXkQKm+C1ktCFpT96BFlrF48my+KgK4kegr2UFq9s3Iag5lTKL4JpWMWkfJgs9gVwu+VAqD6ENriW3fjmJo5BWZe98r8WgVCCSmCJ2fDowyIp/N2lgDuqtgfupyxWlq3oziGSH0qIOS5wQ/+OdP8NSiFUjCZOXh3cwY6QUhqEsorLGtQpEUUk27GGm5Hd2MIUt2KgaXIb65EfeqHA1VEXJC5V2Lb2Wv1MC7Xk5SOV748dLikGlzyig+O4ELGnHPL0OS31icDA4O8vvf/55kMonX4yWUmEV2zIa/xMkVn52PN1RIyenhLOM37yYWy/ENZ56Xs4Vz/JqlJTwZ+RyGHMHIVDNL+Tz/dfVSakL/n723DK/jvLq/fwOHSdIRM1qyZZkZYieGOA4zM0MDTRto0zZNU0zbUJs23KZxmBxywHFsxzEzSLIsS7KYdZiG3g/HseM61OffJ2+bxyvXXI7lOXPuue/RzJq1917bnkz6fvxPQNKHafpZ53/j9f6u4ztLlv785z9z33330d3dzejRo3n44YeZNGnSF+67a9cufvrTn7Jp0yb27dvH/fffz80333zIPnfffTc///nPD/lZZWUl9fX133hMR8jSEfzbsfW5pCO3loCskcSPe5qlTw3Q0ptUZlJI8IYlyFzjeS5L+RiTqLNKHskNVT+h25uNqOtcsOQ1Zq1cxR/Gn0uTJx9ZUDir5C3mlKwESUfQTHibTsS/Zx6NYZHezI0sy3uPLksyJ0k0RHRBR9IlRgyNpiJQjIAAhkG57mOBuJh0IUmouvUU1viq6NNHQ+Fu3n5vAx+u6iOm/M+q2gQBhhflcNSYCRQOH0vcfOjDRjIM8umnkL0UCF3k04V9PzEyDFB0CcWQ0IxkKMgwQPgsl0gwkEQdSdKRxW92+zMM8ClW+uMO+mN2emIuemJOwooZZyyBK5bAkVCxqQZmBBSzjbjZRdRiIWwRCVkMNMmEWXdhNZwYgoyBgGhIyIoDWTUjGBoYMTTzEJI5gKQPYI6GsIQCmEIRzAkdW1wnbnfTl5lBT1YWvZmZqKaDOUqCrpM5FKTEVE6ZuQobZjoI8GRWgNX5Ckr8VYSBNLS+mShqMr9G9feiL/8rXfXrv/kCmS14L7kW+fhzGN4Up78zRFA08OgJfm8s4Wjbq8iiiqYKPCmeyP3qabgLPiBiXwWAiIimmcjtO5ZfDc0lG5l+ZyutYx/AYRtECIH3rzLtag6dR01gRmQuLn2/macxSEfLOtw73gZdYUO1zF9OMAiJAg4MftfXR6UxnBc6huNzpGKYkuQyI7OJsrKNiP0K6c/K/G7eLSwfOwlJVxnd2sikfcl7vj0U5Xim45FTUW1++mc9h19PGjh5tGqsP23CO8VHjieIX3dw0dyX2aDYOXZ7lAm7k0UKWXKc8XYHJlHAXOwm9dRyTFlfbkb6Gfx+P88++yx9fX2YzWa80RrUPgeeDBun3joOR0qS6Cq9Efr+uo1EROEvHoMX/Ulrh2NHetii/4ioMYQaKUbquYqfnziW08blseW9tw7YChxx+j6I7yRZevHFF7nooov461//yuTJk3nggQd4+eWX2b17N5mZmYftv2HDBl566SXGjx/PLbfcwu233/6FZOmVV15h6dKlB34myzLp6el8UxwhS0fwb4OuwdK7YfVDyb9XnUB3/t188GI7QSX5q+pRe7nfrfIn4/dM9TSjI/Ar+8X8deyFqLJM5kAfd/7tETabS3mlYjaGIFKZsoebq5/G7EjeVO39I7HUnUtDbyZd3l18lPc2+6ydAMiGjLrf/ygnXMiEvjGYjeQDOdMIcTJvkyckw32tegbLAhMIx0ahpGzgrQ/XsXJbL6r2P0vaTnOYmTp2FBXjpuNJTTnwc9EQyDEgV2slRanFFAsQVUyEVDNB1URYl1FVMzFNxhGXyFUdeA0HbsGJZM8g4c5GcaYjWJxYkLD6e9B9LcQCjRBuwRzrwiTFkawaJruObNMwOTRMThWzS0M262iGRFhLI6SnE9LSCWlefGo6g0o6QS2NmO5Bww6CFeEbJnV/YwhgtcsgqURifnQtgqSHsQvdmMy9+DSJkNVO3G45kPskGAbZWgoVRi5FShrsfp/23vXszbWyN72LzdnFtDCbaDxpRpnoaSLy4cP4O/Z8xUAOhW3SdEadfD4Zjhr62gJ0ywaSARfH+rjM/jj5lmSPuHqhiKtNt5JtEejMeRqf0g+ACwk57uGnrbdQpXoJm31sHftH0j2toEDqUzJtvhIa5g9i0SZy+uBcDJL3ZlUPEmhYhqnhAwYcCvedL9KUKiJgcHU4yMXRTF7rnUxbVENJzQRBQJZjlJVvICOjBfNaM/d5b2dD5RhsWoy8/l6Oqd+CiIEUizI9WsIwWzUGBuFJa+lKfRrdSGASUnA/pVOc30GKJU63kcMdp7zBe74Y1fvinLYhBJqAWwow0eHGKZpAFHAdlY97TgGCSfrKOY1Go7z44ou0tLQgiiLpiWqM/lRSs+2ceus4bK4k+Uu0B+l7bAdGQuOtHBP3dQ+gGzC2yEa7425ixhBqcDjR9gs4YVQ+vzylhvr3Xz9gXDn/mhuP9JLjO0qWJk+ezMSJE/nTn5Jyoq7rFBQU8L3vfY877rjjKz9bXFzMzTff/IVk6Y033mDr1q3feBzxeJz45wzgAoEABQUFR8jSEfy/IR6EV6+AhvcAMGb8kC0Nx7N++xAaYEGnLdHCZo+fv5ofIM8WoE/wcGnePWwsGwPAzC3rOOXNd3hg1Jn02dOwSlGuqniO0YXbgGSLkrSGc+hoHkebtYNlhYvZ5Ui2XZB1GVXUAR2ramNq73TS4smye4uhcBzLGS3sRACa9GyWhGahhkYSM69k8bK1rKvvQjf+hRyYz2FYcT6jJ06lsrISSUo+TDy6nRzNgincRf9APaGEwmdMIGrSsGLBK2SQY8ohQ/TiMKUh2DMRJBuaAYqhMyAHGNS6SARbEQJ9OHxDpA6GMKsaohZH1uJI+zdNNOjwCrRlpdOXmk3YkYVqykAmA3fciyORhvAF7tpfCsPAIAGGgiYoKJKCKuvoIogIiIaIZJgQDWH/WQlgSBiaGdmQEb/OKvyLvlJQiMkhdCmGIKmoUgRNjmDIUYqMNCoCJlLXvIgR6Ni/v8GuwkyerppLnXUsOgKR+k8IfPQoifA3c0wXM7JYeNwp5BSeRHNYYI85eQ3MjkpcJC5nhutpzGKMBDK/9F7Gyp4JHDejm5f7nyWmJZWYYTGB83quYXKkBkWKsbrmEbIzt4MOnuclfN3D6JkTIyA0cuHAJILqWWgklTFFDZLYuZh4+6c8scDg45rkGh2tx/jloJWP4ifSsLuRWE4xujWZeJ3mbaOiYi2GavDb6N3sTh9GquLHGY5wTO0WbEoCQVWoGJKY6ZqDgIha0EvXmEeJxPcCIs41DkbHWrFKGu3mcfzljH/wZEc/2YMql64OIIfBLESYmjpEil4MgOy1knJaBdaylK+cU1VVef311w9UynmVSsSBLNILnJzy/XFYbEkyHmv00f/0TtAMNle5uKOpm0hCoyhdJuD9DarYj+qbQLTrdHI9Nv541mjia95k41uvIQgiJ9xyO8Mm/2tNgr9r+M6RpUQigd1u55VXXuGUU0458POLL74Yn8/H4sWLv/LzX0WW7rvvPjweD1arlalTp/LrX/+awsLCLz3WF4XugCNk6Qj+5/C1wfPnQM9OkK0kZv2Rpe8U0exL5vqkqAGeN/kYZVrLj92v4JAVPhLHc+OouxjwpGFOJLj61Wdp87t4r2QaAGPTt3PdiGcRrckHkqf9KMJ7TqYrqrG88C0+9SQTciVdAtGctGQ0YIRvLFW+kgMht0nsYI6wEgsKzXoWr0ZPQPANJ6p9yBur1rO5sQ3jf0CSTLJMzahRTJo0iaysLARDIEdPJU9LRYv00z+wkz5tgKDDTcyWgeLIxmrKxSZ6kXUbaAJSQsekGMiqgen/wcfSwMBAR0BE+AqSogs6MatK1BInJkdwCH1k0k2h0Ua53opb8GMRQljEMDJRWhNOWnwZNATTCanJEErMpNGeGaU1K0JHRhQRE27FTUo8hZREcnPHHXTGCrGGi6lQZeT9Y1KBgUwT1gIHWaJBormTWEBB0iyImuVLyZyBgSZFUU0hJCmOXQtRvPVNCrpbD+zT5vTyuxnz2GsZh5aI4Vv5DMHN73Ags/8rIEgS4489iXOyFvKpJ5/NlqSyWK3JnBke4hjPIxRakoR9uXs8t6tXcZULWmp2snjvmxgY2HWRu9rPYGx4NoagsXL4U2TnfwqA600JuamE1uOyqBl4h1IFBow5dOjn4VW9ACSi/ag7XuHd7C08PU9EFwXKBZVHBgXqLJewefknJNKzSWTkACKiHGdYxTqsGQP8QrmXDnMBxdEOjITOxD2NpIf9YOh4e30cl3I8VsOOYVUYmvcmffFks2hzp4VJzZ1YNIP29LN566R7+fneTuwxnavXBnH2aAhoTElbS479GLRQ8vfEMSkbz8KSr0wA13Wd9957j/Xrk+FRd6IE82A+OaUpnHTTGEyW5EtFZHsfg8/XgwHtUzK5YWcb/aE4aU6BRNYfEcw92MLz6W09BlGAm+ZUUNX4Hjs//gBJljn9R/dQUD3qa9f4u4rvHFnq7OwkLy+P1atXM3Xq1AM/v+2221ixYgXr1q37ys9/GVlasmQJoVCIyspKurq6+PnPf05HRwc7d+7E5XJ94bGOKEtH8G9Fx+YkUQr1YDgyGRz2IO99aMOnGoBBSrCB32ak8hP9MU5P3YSBwC9tl/PXCeehSxKFXR1c/OILPF66EJ/FjUMOcX3VM1TmJnMwTJEMPHUX0d5dzKfZH7IkfTmqqIIBZiGVBMm8o9R4DtO7x2PRkw/1bKOPU4T3yKafdj2d5+Knog9WoUSW8er6DWzf2/Q/Ikkul4tJkyYxfvx4nFYH+bqXYi0Ds2FhsznMFpuMYLhxJCx4oiJpQQ3zvxDVE3UFUUsg6on9JEEkLsuosgUBCckQkXT4hulKB6ADQw6BvhSZPo9Ed4pMd5qE6pJxyzLpusL4/h2M613LhMHVlMSbDvn8PiWd3UNpNAylEdeTYc2EpNOaHaE5J0xnegxjP9eRdInUeCo5MRf2cDpDgwsZGU0hUz9IhlpTRdYOt5HtHKJq91aEWAxRs5Cd1k2KPUK0t4yB7iwQ0rBoh9/LDAzi5jiqOMCkzqWktdZj9gVYXpHOo2OOw5cYRbyznoF37kcZ6vxGc1QwuYYfll7NxoxyVtiS7DXNZuLSTp0a+zKmu57GJCYYlN3cmnEz3U2Z3H5yNk/4/s62vm1gwPU9Czhh6CQMDNaUvYy37F0AHB+KaFsLsF0xlZodf8IEbDfbecV6BucMLsStJhO6lcEmNg4+wx/m9RC2CqQJOn8KqERSb2bVm++gWWwoJYUoQnJOvN5mvJWN/EK+hyHBy7jALqKGTH67n7L+5Hnb+ns51jaLdCnpYRQ/upZWy0PoegwpIjCufgh7QGOw9DbWLLyWG2pb0VWdS7dGyGlMPitGuT6iuuY4IrXJC0/yWEg9owJrReqXzqdhGKxcuZKPP/4YAGe8AOtQMUXV6Sy8rgZpvxFmcFUH/reT11vk+CKuWd9EU18Yu8WAnEeQbG0MN13K+u2VAEwrTeXUoY9o3bwOs83O2Xf/hszi0m+0xt81HCFL/4QvI0v/DJ/PR1FREX/84x+5/PLLv9HYjuQsHcH/GHVvwatXghrFyBjBHv1ulteaUAwwoRPwbeD5vFyeMn7DaHcnfXoKV+TfzbqKsQDMWbcK97ZulhQlfyfGZWzluhGLECxxMARS9x3LUPMC6ix1vJjzBj456QFkMzKICEMIqIiGzJSe6WRHvQgImAyFucInTGQ7A4abZ+OnExmoRg+t5NWtW9jeUI+h/+syTlZWFlOnTqWmeiQlQjalWhZ5upcGs0yDZmD4VcxfclhNgJBNx29LELCGsEb7yO7vpLSzA08oTE+qm86MFPZlZbIvJwe/Jxd73EHegE5Bv0qmXztMLzKAQadIr0di0CURtAlEzMkGr66YgTui44nopIZ0UsPal44tYhbo8Mq0pcu0p8t0pMmoskBBrItj+z/lhL7lTAnsOLC/gsxmUw0bQvkMdcaxx5JJ+6pJpC1LYWdxPwPuQ93MBUMgO2ZBC9aQMziJCb5STEZSlRi0CayvMuFR6invbwfA7vBRVfkJTmeM7k2TaNqr01fkxafByKGx2KIZCPqhVXUADr2XjFgt5uhuHquMUs8x+KOFSZVp41er958hP9/KmAvnYzFOYpOejSGAmGbm+oZ+ciwJ5qU8QIYp+WB/LPs0fuc/g7OFKDULTfx11/0MxAY4efBoruk5E4BNhW/jrHoleV6fiPSsLCbnuklM2vEnBOAfbjcPpWZxxsB8zvEdi7Tf5btl8EPuGfEGXakGNgx+mVDIzvoJHz73IroBYkUaAVMxGAKyHMZd08wfXd8nJthZMLicgGFB9XsY19YAgMk/wBStjEr7+OT1UxOkreQPRGMtCBpUNQbxtOnEKu+l9sTzuWRnM2FV4/RGhRGbk7mCZbZ1zDxhPIHNqWgDyTV2TMlJqkzmL89lWr9+Pe++mySNtlgODl85lZOymXvJiAOVdr53mwmtbAdJQDqvkms+3s22dj8mSUfOfRqzay/nFP6UfyxzEEloZNolrgx/SKBlN46UVM79xX14MrO/dAzfVXznyNL/VhjuizBx4kTmzp3Lr3/96280tiNk6Qj+ZRgGrPkTfPATwEAvOIZPm65j+0DyhunWgiyP78GfGuNP1r+QbQvxiTqa68b9jL5UL+ZEgvPfeJUlljH4rG7sUphrhz/LiNxkjoM5lIO77mKagzaezl9Ek23/Q1RPIyyDoCfNLPPDw5jQOwKJ5PdW0shCPkYwNJ5PnETv4HhE/3peqd3G9rod6Oq/bgFQXFzMjBkzmFY8nko9h2ItE82QaI3rtMR1Yp+7A+kiKFaI2EJ0Ottps+1g0Lob3ehnTJNGaW8molhKa3Yxe/OL2JtfxJDbgzusUdyrUtSrUNSnkho+XPHy2xQGXVHC1hi6SUGTwpj1GGZNQdR1YrKZkNVOwObAZ3cx6HAx6HCjSjIYBs6YQYZfIz2gkTsYJ29AITUsIBqH0jBdMAi6oNcr05xtpj7LjJ0BTur9mLN63qc6fNCws9max8vpC/iYGhwD/eR2t5HT247ZZKc9GxpzffTZ+wmbwod8h6SZcAaGUzMwiorBaiyanZBFoLYwTnZ0CzY1DoJOaekmcnPrMTGZpjdKyEgrYFH2+wzKfq5uvRB/zMSApiMrbmTFdVgIUjc3scnTR0u0kLrWJgbevR8tPPS1a57jEplxeTG7SiYT6TwHAwnNa+Lqhp1kGmVMSn2ZMY5kKGurs5KrPbcT3Ctx+aQsglnLeK3xReb4JnFL14WIiGzL/wjL8H8gCGBbK7J7aQ2RE+1c708e4xfpubzkkklTPNwcvoKJXclmwD5jgHsy/0Bdug/JMLjRiDOj4Ne889Qz6JqOpUggmDGBeDip4iZKQvy94Fw0QeZi33P0JVJp0oZz1J5tiIaBFApQGbAwNX0hgg5CtkHfjGcYCCSVn/yOKCmbQB59L+1nnMN525oYUFTmdmlM/2QQ3ZDINu3muLPTiA+MJ7wmWSghe62knVOFueCLoxkAW7Zs4c0338QwDKyxTJy+SsYcU8iMsyoAMHSDwefrie7oR7DKOK6o5nvv1/HJnn5EQcecuwh3WhO/mPwI978dob47iFWPc1XoPYyBTlJz8zn3F/dhc375GL6L+M6RJUgmeE+aNImHH34YSMZ0CwsLueGGG/7HCd7/jFAoRGFhIXfffTc33njjNxrXEbJ0BP8SdA3euwPWJ8t44wXnsWTbGXQkkg+q9EADj7sljpI+5dbUt7GJCg+I5/LH6VegyjL5PZ1M+mAt72ZOBqDGu4vvVf8dyRpLqkktCwjvm8fi1Pd4Py1Zqm3RbSTMeRhqMpnbpLuY1TkVj+IEBBxGmOOFZZQbLbyizKdxcAYm/3Zea9rNlm0b0eLhw8/ja1BZWcnRM+awMGsKFVo2TqwENIO9cY32hIGKjm5KkC4JKPYh1mXWstmzjsh+Y8uUkIWigTJMQiW9aWU0FJURdCRDLSbFoLhPobQ7uaUHDyVHmqAxaO8lYukBOYwVA7MkYBXMWAUzZmRMSJgMCdmQEI0k6RF1AcE4mKWjYtBrM9HsttHqttPicdLhcqLv77MlaQaZPo1hXSHKuqNk+kVMqunQsYhxNEcQNVsiXJiCQ+5jVP8HTO9+D6eWnNewaOPF7AU8ln8G+yy5ZA50UdDRTGFPJ3nhBIFUnV73ED22HnpsPSSkz5FWQyTbX07lwDhKBkdhMRxEU7oJy3tAMEhJ7aSychWaxUG4+Wwm1o9ls7uex9Nf5vjAbBYMzmCX3M5OsRNJcWCKp2KJeZD0Qx+aYSnCjniQd5b+gaF9m752/Z1muPukXN4eO43m4HnJ7rjOQS5u20TVUDnunBBzPA9jFUMMSW6uK7mTT5vLyFMUzp/rZWnvPeR2ZXJ7x6VISOzI/RTTiCcQRAPbepENH08me0o/ZwtrMIA/ZpTxtNNAQKVKHcmvQ9dj7TJICAr3ZTzKKm8tAGehcUHm91m86E00RceRF0cacwIdTUkS2JqTwrvDZgNwU/QBAgEnH5pOYv6udZh1DTEWIacnwPyCc5ESIoJDJHLCalqH/gpA2lAC99sSnsl3MHThJZy1bS9dcYWJPoMTP+pFUU2kSu2ceJqCqeg0hl7eg+aPgwjuOUW4ZhcgSF+cN7dr1y5effVVdF3HEs3A5a9ixhkVjJmbzLE1FI2+x3eQaA0ipVlJubqGH7xdyzs7uhAEHUvOy+Rmt/PU/Gf504d9vLKpHYca4sK+xZhiAfKqRnDGj+9FNh+uOn5X8Z0kSy+++CIXX3wxjz76KJMmTeKBBx7gpZdeor6+nqysLC666CLy8vIOKEKJRILa2uQvyMKFCzn//PM5//zzcTqdlJcnu1D/4Ac/4MQTT6SoqIjOzk5+9rOfsXXrVmpra8nIyPhG4zpClo7gGyMRTla87U5K6oNpN/J2/WyCuoCAgbtrOX8oruIu5XFOydhKSLVxfeaPWDpqJgBTt2ykt1mkw5GFWYxxaeXLTCrYAIApnE1a7UVsUaL8KXcRESkGBljFKmJGG5B8MFf6xlI9VHwgGXgMu5jPCj5Rx7JxaB7yUDNvdbSwfss6lODA4efwNaiuruaMaadxoncSmYYbAYEeRWdPXKEr3kGqESHT7mBLYQcr0mrplmoxSKALVmxaJe5ENWHXcNqyCg+QEoC0oEZle4yq9gg5QyLS5xQdHZ1+RxsRey9OSWOY6iVPS8UWUzHFgujRAIoaIqYGiGtREnocxVBQUFDR0NDRMNAEg6TGAJ8dXkBEFEQEQUQSZATRQthmZ9DtojPFTYfLQcRqJ2JzELY5cetWqvuiFHarOP0uBONgEq8haMQtg8StfThSg4z3dDA89AneUAsAGiJvZszmocILqHMm1RFB18jrbqO4r5vsiJ+0RASfeYgueze9tk4GrQer1gRdpMBfRWXvJAr9w4k5m4lZ+zCbY1SNWI7b3c/u8KksXL0QgL/ZFtHviXNj74WYdRObTS1ssnRhVhOImhlnwE5K2ErMUoihJU0RdUPnnS3P8cHGv39tzposwp+Pd9JZOp+/287DMKxItiYu3/sCEztq6K6YwXzv/WSZGtER+F3hpfw5eCJSV5SxuU5GV22jZ/d6buu4HBMym7NXYx/5BIKoY90o8snKmZw6dg2VUif9osQ6Ty63pecgqt1gCHzfeRvH1pejhuI8lvUKi9OWA3BMAm4yH8WbS1vREgauPIXCk69i1YotyLrMxqJhbCwegWQo/ET/GTG/iSfkm1m4cw12JYGQiJPa0c7xZZdgiZhBFjBO6mRP4C4MUcMW1Uj9u4R3+o3ErryGM7ftZV8swYiowPkfdhKLWnCK/Zy4sI+UY65i6I1GotuTdgrmIjdp51Yip1i/cE7r6up4+eWX9xOmdFz+Ko69ooaKCcnqQC2UoPeRbWiDMczFbtIuG8mdi3fy8qakumzJfo2aUj9/X/B33t42wE8W78IV6ePM7jcwaQmGTZ3JCTf+8P9M493vJFkC+NOf/nTAlHLMmDE89NBDTJ6cfMOePXs2xcXF/O1vfwOgpaWFkpKSw44xa9Ysli9fDsA555zDypUrGRgYICMjgxkzZvDLX/6SsrKybzymI2TpCL4RQr3w3NnQuRlDstAq/JD3O8ajGGARVMIdH/BCSSUP8wATUtvZESnlijH3sC+nAElTmbd0OcuNShBESjzN/GDkk1gdAQBS9s1DaZ7D/TmLqLUnwzwpaj6DVivifjXJpmUyu30Cdj3ZOsGDnxNZSlgz84H/RIzBQT4c6mPVhrXE+lr+5dMbNWIMV045j4UZEzAjoxsGbYkwuwN1JJQOMl0prC7zscbbRIC9GIBqLkeQapCkUQymFKOLn8vbMAxqmgcZtS9Epl/GGT+09UfA0k+vay9ubYBhfSGyB6JE1SAhI0pU0IhJAjGTdAjh+ragCwIhh5uIw4PbYsGtyoiRHNDyEKRUBEFGF1Ti1j5itm7yTbuYIW6h3DiYFP5J5ix+lXUeW9KqDjm2KxSgeKCLYl8fOb4BomIYn7WT1pQmOi0H+9JZVDvl/eMo7x+H1RRAMwcoLtlMXn4t5qFqCrddjay4+TT4HkuztnKRdiEl8TyixHksuwEifhyJ/a1wwiHSc3w0+YpxD47CpjqpbdvA00vvJZoIfe183H+shcLh07nDdD0J0YJka+La+ieZtTuNuhHnMy73PUbaPwDgrfRZ/MB5A7EGFVE3OH6Ug9S+RVzWdR4mZNZmriGl5nEESce2TmTl5qO4ZcQbWASVp+15lFsifC/nKLToFgAKndN4lBsxNgzwsvcDns5MpmxM9cP34h4+2uZBUwQ8+SITrv4Ji157CXvMwYfDJ9KUmYfb8HMPt6NF4PfC3czesQNPLIygJnC2NXN8xQU4Q8n7vjQvwe7YNWg2HVnRSX1UJnvWDWhXX8tZ2/ayJxKnXBG5Ymk74YAVixDkhKObyDrjJiJb+/At3osR1xBsMmlnDsM2wvuF87l7925eeuklNE3DEk3HEx7BKTeNJXd/srjSE6b3kW0YcQ37+Cw8p5Xzi3fq+NvqluS1kfUm80aZePDoB6ntDHH1PzYidjdyUvc7SOhMPvVsZpxz4deu63cB31my9J+II2TpCL4WA3vh2dNgqAXDnMq2wJ2s9lVgAB7dx1bfFtoyTPzW9iRFDh8vR+Zyx9G3ErHZSfMNUfLpbnbJBYiCxqkl77KwdCmIBnIsjYxdF7Fc8/PX7JcwBAOrZkMxj8JQt6ALCUBi1MB4KgO56PtzkyaylTH6LhaHFxLqFVgTDbF0y1ZCTV8fXvlnjKkcx/enX8bsjBoEBFRDpznUxG7/J9gsDmqLo6zM7yQktqGLDhLW0aiWsWiWGhLmQ12N87u7mNTQQ/6QCXsiFZN+8O1aRaHPto2EUU+ar4sUXxxNMBEzm/55SP8EA5OhYdY1LIqGWdEwJzRMqoFJ05H0zzYD0UhuGAf72iZVJgFDAE0UUU2gWkQUi4BikUiYJBKySEKUSBgyCdX0tdX2opwCQhainIEgZWNY3MQcg7htO5kpfko1DQgk23g0ZM/mV6lnUqe46MrMRjEdDJFYEzHK+jop7+sgZ8iPTY/RldrH8pRdaPJBxSkzWET5YA3Zqp3MjGYqqj7FknCTu+0GbIFS1vS9zzZ5E2Nyj2NKNFk88Gr6dt7zuhjXtg+TnixHdFt7aM3ZwW5fNmX940lpzObJ939O99C+r1kD+MlRZhZMG8Vl2h3ERCtmSxs37foLs2p1GspPI6VMYZb7USRBpc5WyhVFP6Fttx0xqpFqN3GRYxun9k1ERmJl5moyax5HkAxsa0Sad4/g/NLlRAwzpznnM8e5hpW5R9Hs246AgmDK5LcVv2PsJzrvxJfxUM4idMFgUq+J80IGuxqzUVSJtGInR9/6S+574Y+k+LJ5Y8xMBlwpFOot/Ez4MYZq8JD+Q4btGCI9HABNxd7ayLyK08gI5SRPdLRCq+Vyoikigm7geUamYPz1cM21nLG1iYZIjEJD5MZl7fj7rZiEKMfP3E3eubegDsYYeL4epT1JQJ3Tc/EcV4IgH074GxoaeOGFFw6E5NLVkZx520RSspJeUrGGoaQHkwGehSU4Z+bxm/fqeXRFkpBbMt/mmlnDuGX8LfSH4ly/aDP+7auZ15/Mvzr22psZOXvu167rfzuOkKVvEUfI0hF8JTo2waKzINKPZsljZc+PqI0lS5CzQrt5RQpSYanjFu8SXMT5meVanpp1FgCVTY3074EwNtJtA9xa8ziZKclyZlfXFIQ9C7k75++0WpOJopmxUQyZB1HEpOTuVPKY0zk66UsEpODneGMZm+LVdHRnsUVVeK+2kYFtS5O5VP8CakpH8+MZ1zA9pxqAhJ5gT2Aj+0K19GTqLK/optfegyalEbdPJGEbi2quxPiceuSMhJiwawejWobwqBnoUj6iYcEwDAx9iITeSlCqQ4r3YoupX+qBZNZV7DEFR0zBEVewJVRsioo1oWJV1a+2CZBEMMsIsgSikOy1IgC6gaFqoGqgaKB/w9YoQEKWCNrN7KgqpSG/kKBoIyUwSNpQH9ZE7As/J4heRFM2UkoqoiPALMuHjCRZiaUhUpcyi5fSTmB3R5BBj5vG4iqitoNk0xmLUNndSlVnDzVDZkIu+If3U6LOHRhCMlxmVZyUD45guGhn/PCVWC1xsnddgrtzGhuH1rAnsBJvyViONY4FYKOjnp8OjzKiJ4Xh3Y0Y+0vVjbRmljh2kRA1Ru2cwKqXN9HctuVr5+bGkXYuPmkY56t3ERWs5CY6uKzpOabX99CeM5rBmkmc6HkQu+RjUPJwcdU9dNXa6Y8mz/MiR4zLw14kJJZmriJ/1JMIooF9hYSr18bIrBY26MM4Tz6HwuwXGZGbwXJ/FNQ+DMHMrPJbuTc6nSVrX+O+vL+jChoTelKY75foa7Ki6DJZw3I45tafcecrPyK9p5LXJswharYyMbqBm6y/wTDgNfUcjF2ZZAeGQNOwte1hVvlx5IdLwQAlYwh/3vcYyEyGYF1vSBSX34BwzbWctXUvdeEY+YLED1a0MdBlRSLBgim1FF98C4Zm4H+vhdCqpHGoudBF2nnDkfe3Ovk86uvreemll/YTpkzyzWM48/aJWJ3JF4jQ6k58b+4FAdIvqcYyLJU/ftjAw8uSarMl8x1+f/JxnFh2Ioqm88t36qh/+0Um+jdjCBKn/ugeykaN/tp1/W/GEbL0LeIIWTqCL8WepfDShaBESJgreafzTjrVpCt2dvcyHsvM4mzjbc7L3og/4uSa0p+yZkSyNHnsxq3UDmYgGDA1Zz2XD38RQVYQFRuZdeezLB7nsexXAUiNp5OQhhMTV6OJGmBiXN8EhoXSUUgqERPZiksJsq13OLsSAu+0B+lc8zp6NPAvnVJV/gh+etR1zCxIGtnFtSgNgY00KrWsL+lhW34vqslL3D6RuH0SquXQkHZpeytTt29iZOsgsrWKoK0E3TBhaD3oageKtg9d7UD6AvIm6TruSBx3LIErGscZV3DGEpi1JBkwBBDSbIiZqchZWZhy8ojklOBPzyeQkkLA4SRgthIwmQnLMhFBImoYRHUDRTdQdB1VN9A0DXQFDAVBV5BRMRuJZPWcHsOuhXGoYWxqEEesF0+4G1ewB7e/D1M4hBDSEROACoICcd3KluJqVlRNodueiXkgimvAT0XnbrIHOiB6+G1YlB24MhxUmuqYYG3AJqlEsbBCnMF690yCLU1EJYn68lE0lIwgYTmowuX6+qhp7eGENidxM/w1ZTXxlDXELL7ksXWJ0lAJx+V0UJY2QGrLAlyNZ9IUbaW26y08qTnM8pyMBTMtlk5ur1iB33EyZ6/dimaL7h+gwi5PHbs9jaT3S7Q/KbKnfvPXXj+XZHq44PiRXJ/xfWKChfJQExe0vM/kxr10eTPZOfF0znU8RYapmQQyNwy7kd6GLHZFslFEEwsFiTsMOyICS7JXUFLzNIIAzg/NjIj5cHki/Fo5l8c4Gmvui0zK6aHJKMIXSto3uNJPY1HNTWx98RnuTX+GhKgwYaCQo9st+LqiKLpEYU0VM2/8Pt9760bS2yeweMJ8dFHkjO7FnJqVbBeyXR1Dfe1R5PiGQNexte1hctlRlEdrQDOIy+1oFbfTVpAkLvblIuX5P0C45HJO39rI7nCMAlnm9k/20dNqQ0Rl/qRdlF16MwgC0doBBl9qwIipiA6ZtHOqvtCTqa6ujpdeeilZJRfJoSJjPKfcMg5JFjEMA99rjYQ3dCNYJTKvH4Mpw84DSxt4YGmyrY09awkvXnA1NRk1ACxa28Kqx+6nPLwXRbZx5j2/p6ys6GvX9b8VR8jSt4gjZOkIvhBbn4c3bwBdJSyO47WeHxDQbMiigavpNZ4uGcb3jUXMz9zNlsFKrp75czoyczAnEhSt30NbOAWrGOXKEc8zJncrALahYdhqz+Ynmc+zz9qJaIgU+acxYGkkYEtWkbnUfBa0j0A3kpVuHvzM1jexZaiMnQEH74XtNK58GeVfzEsqSC/krlnXcFzZdARBIK5FqPevZ4N5K6vK2ujymog7JhNzTEO1lB/4nKjr1DTWM2PrBsbuaUVJHUefu4q4oKCrrehKK7raTtKfmkM+54nGSQnH8URjeCJx7Ak1Kfp4TAjZqUjFxYRGT6S3bDSdaVl0We20J1TaYwk64wp9CRXlW77FuQ0/XvrwMkAGPWTTRTbdZNOJl/5DtLEQTvx4iAzZsTdGoFci4HcTD+r8cywvyxlmmK2XMtcgqtnGu8IxtKuZaL2dWEM+GktGsLNyHPvySzGEpAJkTcQZ1dbPpU1WmlSV9xzb0Lyr6HM1Jw9qQKVg4+SsQYb5xhBvPIf78jVmfLoabzzItNzTceOmXx7irqJnqMs5gUu2pGH3ryXoTJLwoMnPpvQtaAkf2lM6a7bu4OtwcWoqx42dzE/HX0VcNFMVrOeM1g8Y39xBT6qX5dOO52rhfUqsGwH4TeZ41kTmY+y2sd1bzkmYuI2kWro49z2qRr6QnPt3rYyVO9GtAgvjv6bRyMfsXU5a9jIKvBOp70s6gmv2Cdwz9V5SPnqJO/RniYsJxgYqOLM2k72D+9CQqJg4nolXX8M171yFo2cey0YdBYbBjXV/Y0rFWxiyQK+Wyaq608kYDCUJU3sj40omMkKdhBHX0YxWKPsxjWUiCALWzQKVGXdinHsRp21pZE8kToFZ5q5P99HeZENAY96kOiou/R4IAupAlIHn6lE6QiCA+9hiXLPyEYRDFdadO3fyyitJLypbOJ8JNdM45sLhCIKAoerJCrl9AeQMG5nXj0G0yvzhg90HFCZvwce8f9kdpNuSffdW1Xfx7q9/jDfWi9/q5eyf30d18eH9V78LOEKWvkUcIUtHcBg+fQg+/AkAg/rRvNp7LQlM2GWFWONrLC3K407zC4xL6eDFobn8eGEyP8k7NIi2PUAsZqLI3cqto57AYfeBLuJtOolNA+k8lPM8umCQFc7HpFbQ7VyBKumAifF94xgRSiVCMmwx2qiFSJwtPdkslQrYtu5DInUr/6VT8brSuW3mpZxdvRBJlIhrUeoD6/nA/SlrSwcYTB9NzDETxVoNQjLEJuo6o/fUMWvzWqZt20osdRRd6SPxmw00pRld2QdG5JDvMakaaeEYqeEoaaEY7mgcQQIt24rhzWKgciJdo6bTOWwYe2SR3eEYLdE4sW8QHnPpETxGAIfgxyEEcBDCRhQLsf1bAhkVCRUJDYH9/gEJCUORUBUTimZC0WViho2IYCcq2glJDgKyG7/Zjd+cgip+dQNdmx4h32gjT2ilSGihhL0Usg8Lh/pXaYpAuMtOoM1JsM1D3H+oYWGaOcIwVz+Cy8oq81EkwgpSfyfmeJSAw8O2mqnsqBpL2Oo4sB7VXSHOb4FPA1HCUjOBzOXsS9t14JijbConiZnY9p3CbbnrGdU2gtnbdjMj5zTS5AzCYpSf5/+V9VllXN15IuWtDdS69qLsd3xvdjbTbK3FuSjKkrW7+DpcnpHNtOFTuXfyJeiixPjAFmb0rqaqewC/K4vXx57Bj5QljHYkK0efd3i5P20yxywz82bBaZyMnetJqmlvFLzG8OFvApD+upmalE6aLZnMD/0BDQnJ3oQ193mqMgto8DWAoaKaCplfcy+n7/uAW3tfJCYpjAsN57od41g3uBpF0Bk5eRwjr7yaK9++BD18AVvLRmNREty26UmGj1yK4YCYbmFZ3Xm4BtQDhGl06ThGGdPRwyoCHYh5P6ZuOBgimOsERmTfg3rCmZy6pZGmaJwKq5nbV+1l314HAhpzJzcy7JJrQBAwFB3fm3sJb0i+DNlq0kk9Yxii5dBrYvPmzbz5ZnIO7MEi5h8354ClgBZM0PvwFrRAAmu1F+8FwwH49ZKdPLYy2fKmomIj7176I0xiUgmra2zjtbt/gFUJ0+os4bQf3sWsqqyvXdf/NhwhS98ijpClIzgAw4ClP4NPHwSgPX4Kbw5diIFImuhjT8dy+tI1bkp5l0LRxy/lK3hs7rkYokjBvjb6GkVQDY4t/Jgzh72JIOrIUS+pOy/hN66l7HDswaSbqOo+ml7HDno8yVwlp5rHKR1lxHUvOiIOwoxV69nV5eUDuYI1DXvxrX4BIxH9xqdiNVu5bsrZXDvxAqyyhYQWoza0ntdTl7G+ykMwZTpxxxQM8WDeTGXLXuauX8XRm9YgSum05oyl12lFVfdhaF18Xi2RNJ20cBRvMEp6KIorlkBPE9Fy0+gtHEtj8QxaKoZT75ap1RSC2heXqcu6QW48So42SLrQTZq8j1RTM16hn1QG8eBH/rxqZQjI8VTkaBqmmBdTzJv8e9yDFPcgJzxICReiaju815poIFoERLuE5LEgeSyIHgtymh3RacFvEuiMK3RGErRF4+xLKOzTVFoEnXbZQBUPz7kSDZ10dQCn6CNXbKeKWkYou8gQ+hDl5DkngjKBVhf+fU5CHXaMz7U9cTuiZLhDKP0e+owUIloMwdDRBJG91ePZVD2V9tSDqsDwvjizWuJs6olQRS97cpey17sVBAMBgwkWmRGBGfzNsoJ8ZRLzPtWZ7ZlLlrWQhKDwq7wnWOUNc0LoSq5qkViR+SYdQ8mHaFSKUuvajuWNDl7/ZCf61xDZ86uOZmphKfeNPRWAk3s+ojC8m9RIjLArlxdHXMgvfW8yy/UPAD6yePlBjpOaRieB6BlMM43iPCxoGLxb8jeGVawAHfJeh8r0fpZnlHNt153ENBuCFMCa/zwpnn7iuo6ihdGkVLKLfswPQyv5adc7xCSNCaER3NFwMqt7lzCoDzFpUgVFV9zMlW9exoD5Ftoz88kIDnHtlpcoq1qGnKGi6yIr6s5AHrAcIEw1paMZI81G9yeQ6EHOupOdI0GXdEwtAiNzf0tk9omcvHkPHXGFETYLt63azd5Gd1JhmraPiouuODBXoXVdyfwjzcCUbcd7UTVy2qH2AmvXruW995KNuJ2Bcs68/DiKqpMVdfHWAH2PbgfNwL2gGPfsAgzD4M7F63hh7QCgc/T4Np4+87oDx9uzcxdv/PJHiLrGyvSZnH/peZw1oeAr1/S/DUfI0reII2TpCADQVHj7ZtiSvLHvjlzM0sApAOSqTXwUbCTP2sRlOauQwhLfK7mTj8cmm97m17XQ12bCKYW4oeYZhmUk+7o5e8bT1zSTX+Q8Q0SKkRssJj04kt3p7xI364DMuIFRjA94GCQNgGFGC9pgkPdiVawIWuhd+iTKQOs/j/ZLIYoiZ46ayx0zrifdkYqqJ9gV3sBzWZ+wYXgVYffRaOb8A/tnDA2wYPVy5q9bRdagj+b8MXSkpROjB2O/U/hncMRUsgJBMgIRUiMx9EyReGEWTWUzqc2eSl12FjvcIoPC4bcls25QElIpTgxRYLSTI+8m3baVVEsTEocTKTHhwBLOwxzIxBTwYgp4MPkdSAEXsmxBsFkQbTZEmxXBZkO02RBMFkDEUHWMhIYR19DjGnpMBfWb3SqlVAumLAdylh1ztgNTnhM53YaCQVM4Tl1/kNrBMDtCUXaqCv1fln1uGJT6W7jqk2cYEanHX5ZNvEBCsvcQ6pLxN7kJtDkwtIPEyZkVJt0dIOq30zvgwtBEDNmEWl7Au1VzaczMP2ClUO5TydwbIrU1QbHUy8aC92nybk2eA1AhZlKv95ItpXNy7SQmBIeR7xiGhsb9Oc/yYeoORmuX86vGYnZWPsb2zkISseT9r9PaRnjZJl76aDvq1xCms2fcyKSiKp7MLSQswk21L+DWOwnYLETc2bxQfQH3tK/gJNefkASVjXI61+ZZUXWJ4S1FzFG/x7GGjQg6q8rvp6h0BySg/O04BelR3h5RxO92X0t7OBfQsGS9jSl1DTaTk5gaQhesGFk3cUtsC48OfkhcNJgUHMmP913Crt4PaYjVM3uUA/cVP+Lad+6kOetHhO1Ohnc2c2rDcrxFK8kuDqDrIuvrjkcZSDmQw1RTOY4xwiz0oTgS/cjpP2XXSAXNrCB3Cowqeoih8XM4ecse+hIqk9x2bli2gz17UxHQmD+7l/Jzzj8wV/EWPwOL6tCDCqJDxnvBCCwlnkPmc9myZaxcuRIMSItWc9Gtxx+okAut68L3emMy4fvSkViHpWIYBlc89wEf7VABjSvmidw154QDx9u+4iPeeGsZfxcnoYkyt84bxg3HlB8WCvxvxRGy9C3iCFk6ApQYvHo51L+NgciW0HWsCc0BoDCwllfkONPFNZyTu4X2vmyunnEPewpLkDSVlG1dhPtEyjxN3DL6SWzWIIIm4919Ds8pvbybugrZMDG2fS791t00ZyZLf61aFud1FBDVckhgxmLEKVf2sLY7m/ct1bSseoXwzmX/0mlMLRnJvcfcxrD0YjRDoz6ymceLdrJx2FhijskgJvNUTIrCzK0bOP7TZYxuqKU3NZ+m7GICljCGfrBkHUPAEzPIG+gjKxDBbFeIl6fSWHEUO/KOYmtqFjtTJWL/pLjIukFVQKcqFKFUb6VQ3km6YwOaqwX+mUjpAqYhD+YeB6ZOE6Z2kNtUhKEY5px0LMMqkltFBZayMswFBQj/7FBsGMlqQEGEL/BlMgwDI6GjhxJoYQU9mEDzxVEDCbShGOpADHUgihH74opCwSxiynViLnJjKXRjLnIhOc0YhkF3QmGTP8L6/gDrB0PsUBL881Ecapij6zYz5+NPcUVz6K4ciym9F4u7CSO6m2C3TrDLzmeGB5JZI7XCjy0jRtxnJtjuQO630lUxjlWVY6jLKUq2cQEK/CqW3X6Ob4G4vZ11hW/RnrI7uc6IKOh4LV5+oJyFZy2UuJKJwA9nP8+7qZ/gEY7n/tqjiE68n12DHro7qhEQiIlRuteu5PkP1pL4ikJLAYHL5v2E0SUzWG/V2WyOc+e6J8lVOqjLTifg9vLS2LO4vrWBi533YRLj1Es5XJYnEZRE3FGJH3X+hNGJTAYFhdrKe8gobEMMwciPQ9gzM1kxTuGZ2nNY2zMxeV6eDViyF2OWRRQ9gYFEyHsF58WaeT/0PglB4Cj/eG7rvJTuoW2s8S/j2MpB4hfcxk0rX6Kh+GYMUeSYuo2M6WlAy9zCmMp2ZFS21s4nPJgBuoatdQ+jayZRnZiM4NcRGcJW/jTbcnejWePIvSKjqx6js3wKp25pxK9qzE1zcfGSjTS0ZCCgsWC+n9LTzjgwX5o/Tv8ztck8Jkkg9dRyHBMO9nQzDIO333qHTZs3giGQL0zgojuOxWyVMQyDoVf3ENnYg2NKDqmnJHMLdd3gpMdfZGezCwSV355VxNljxxz8FdN1fv9BA48sT3q4nT+5kHtOHon0BUrpfxuOkKVvEUfI0v9xxEPwwrnQvBIDE5/4b2VHdDKiAAVd7/BSmo0T+JiTsutY2TWWm0++i0FPKo5wGLYH0AIaC4qWcUbFWwiijimchXXXBfw07VU6LL3khIoo75nG1pxXCNoVQKTGX8kxg27aSSo8OUYv8d4gr8iT2dXYgG/50+ixrzcL/Az5qen8/OhbmFc+A4CG2E4eHtbOxrIJqJaD3cjze7s49eP3mb/uEwRNoTGvgm63GY3g544m4Y6bKezrJNs3hFEMPcNr2Fx6HFu8w9mUaiZsOvQmm5IwGDukMjoQpcJoINeyETVtJwln12FjlYZMmJvA1JwMZ5jaBERNwlJShLU8H2uhF2uuA6tXQFSGIOaDqC/5ZywAShSUSPJPLQG6ymHGSIIEkhlMtoObxQ22FLCmgD0NHJng3L+5czHcBei4UXujKL1hlO4ISlcYpTOEoRyufMmZNixlKVjLUrCUpSDakuQlrGls8Id5vz/A4u4hBrVDmYZHCTJlTx3luxVSEsMQkRAMhXL3c2jiTpp6vMSiB8mgKz9E+sghbN4ooTYnQksKW1JmsSl/ODtzS1Hl5Pd6BuOM3x5heo9Bu3s3a8pfZMBy0ME9xZzCfXl3EH2piQrnGAAezXyFN7zLwDyKa7ecSNX0P9GtKWyrm4FNSbZLadm2nkVvLkH9CrNvWTJxw/G/ozxnFDEMNpuinLv+QYqDHTRmptKcmcZHI+cyc0jkJtevsYphmsRizi/yEqIPm2bhDy0/pCSRS4sUYaj6DuzZAaQ+GL/FT6hwDrsqN/Jh89G83HgyOiJWeydS3lNIchhj//qHUs5hciLC7vBiVEFg3tAUbu6+gHCkh08G3mBB0WbaTr6WW+uHaCk8BZOqcNrmFWREh+h1tDJrdB1u0c/2XXMJDmWBpmFv3c3YiTMZER6NMSQgMoTjpDBb+3+B6owjDUiMG/sP6tKrOXvbXmK6wZkZKZy0+FMa2nIQUVh4skbRcQsPzJee0Bh6uYHojqTrt2t2Pu75xQea6uq6zosvvMzuhjoEXaI6Yzan3zAjmfCt6ES292Efl3mIOpRQVWY+9BQ9vXmIosKiKyYxtTT3kHX6++oW7n5rF4YBC6qzefDcMVjkL28A/N+AI2TpW8QRsvR/GJFBWHQmdGxEN2x84LuTvfEazCbw7nmeJTluzjCtYHZKE88EjucXp36PhNlMav8g4V1xnEqQa2sWMSJzJwCurknUtY/kocxXUQWNcW3zSYg+tuetBQFMRioXteegqQUEcSIaGgXxFpb4ylitpNP/wV+It9d+4+HbzGZunHIRV048B4tspkXZx/2VA6wuHYsh7Xcl1lSm7djC2R+8xbB9jXSkeWnJyiYifz7/ScKmp5A/MEDhwF4SVRK14+ayNXsu69JyaHYeekN1KwYTB1QmDCaoVlvIsG8gkr6TmLvlUOXIAFOHhHmPgblRxNwkIPkFRJsZW4ELW7qGLSWA1dGLLP3rTX7/7TDZwVMA3nLwloK3HMNbhSqVkugxSLQGiO8LoPYcmtyOCOZCN9bKVGzDvchZ9gMPslVDQe5saGdPJH7Y1zkTEar3+ahod1Lcq2LTfcxIeRKTtouNwTza/Cl8pjZZUuJk1AySNsyPgEGgP4e2YDnL7EezMWckmpRco9SuGGdsjpIZ0tid8wkbi98gvD/MaZWsPDjmNySerKfckrSOeDxzMa9530eTs5nddTYnVT5GzOTj3V2TyQ0mbSMad9by/Gsvf6VVlcXq4qpT/kilJ0nOQ4LKiD2vUtb+CRGzxK68DLaVjcJmHsaPHb/GLgVoF4o4tfoMDN9i7Fh5oOU2MtU0Npu7sY76CVKagmUfTGyM0lp9Ka3ZL1DbN4zHtl1CUHdiNUcQ8x5FsvYcGEfEdTy5hh1/8CUMQeCU3hlcNXAumhpj7cBi5ma9zqezTuOu0DT60keQ6RvgxB2rMesK7UKAGZO3kyO1s3PnHAL+LFAV7Pt2M+XohVT2FaMMmRAdJuxnO9i26yxUTwJ5SGb8lJdZbSni0p3NaAbcmJ/BuEUfsbc7H4kEJ57nIO+omQfGaegGgaX7CC5rA8A2Kp20MysRTEllVFVVnnrib3R2tyNqZo6ZeDIzTqr+ysu3JzTA7AdfJBoswmxSeOeGOVRkHdojcMmOLm56YSsJTWd6uZdHL5yA0/LVhQ3/yThClr5FHCFL/0cR7IF/nAq9u1ANF28P3kWHMgyH1UDa9Qybciyc7VrNaKmbX9iv5uljzwQgra2P8G6FIlsrt455Aqd9CEGXSdt9Fk9orazwbMYbzWJc60K2Z71OT4oPgOJwMRf02qmjChBwGwEC/RFeMk2nc+MS/Gte3q+SfDOcUDWLnx1zE9mudLr1fh6sCPJh2QgQkjc+dzjIyZ98xKkfvYuhK7RkZtLjthwwOASQxBwyQjrlPbuIV0ZYN2Uuu9KOY02aF7/5YDhL0g1G+TSm9WtM9AfJtWwilr6VcPoOdNOhSeembhlznY65QcSyR0CMCEgWsGfGsGfEsWfGsXhU/jllwjBENLzoRiqakYpmpKCTgm440XGiG04M7BiGFR0LhmRDtNsQHRZElw3JbUVym5DcMnKKCdktIMrqfhUqAvHgQYUqMgjh3mQLm2A3BDog1MNXwlMI2SMhdyxa6hgSiXJiHTrxRh9q36FzIHmt2EZ4sY1Mx1yYfFi91efnJw3t9CjJNTYLOgnj4Bx7IgojW1RGN8cZE93IrNTH0FUfqzrK2Wukoin7Q3RWlazRA3hH+JDMOrou0u/PZzWzeDtlHlHRAbpBTWOMY3fGEPQQu8b8iQ3mpBmqgMA1w6+i5nULJUayFctj2Ut4PfUtdMFOselsvpfyDHE5yN/ryqjwj8Wm2di2ZStvvLn4K6fIkZHLiWf8nNFGMa795+YKtTBs98t4gi10eRxsLy6kO3s6d7kfxikN0U0BCyb8hoL6J5EcEX7X9gPsupXl7vXkjPoL2A1cO3VG9A6nbdI0Op1P0xNM55GNV9GuZGMSNWwFL2DYD1oeRB2zsYk5EHwegItbZnBO9DwMQ6fWt5zp6Q/z+Kg5POS6jqjNw+Td2xnbnQyP9wk6FZN3M1zcyo7t8wiF0hGUBPaWeo46+RyKeypQOkKIThOO06xsrT0HNU1BDpiZcNSbvBlP45b6JAH6dUkWGY+9z77BQkxClFOuyCFz/LhD5iy8qYeh1/aAZmAucuO9aASSI1nRFo1G+cufHiMQHkJS7Zx31oWUjcr5yjVY27GFi57cSCKSS47HymvXTSPHc2irodWN/Vz5zEbCCY1R+R7+dukk0hz/nc13j5ClbxFHyNL/QfhaMZ45GWGwCUVP5bXBn9GvFpFiTzBU+zw9XoWzMzaQFYpyU+WdLJswHQBPQy+xZoWZuWu5ePhLiJKKKZqOtOtcfpHyFh2WXkZ2zcQTzWB94esosoGAnXO6M0mP5tFJMjfBG+vmtchI6gZjDL73EMpA2zceepk3n1/P/yFTC8fiNyL8pSzGq+WFGPvZR3F3Oxe89ybTN62hK8VBS0Y6n4vqIIgp2Iw8SvvasGbuYunMqWzPPpFtrlxi8kEG40nozOjTmNGnMjbSg5G6AX/mJtTURoTPq0dhCWudgbVWwFInIvkFdElCSU2DDAeWLANXqh+P3INdiKGRh2Lkoom5aHI+mikX3ZSNJqehigIqGglBJW4kSGgKuq6DZoCiIyhgTohYNBMmZExIiP9c8fY5iHYZOdOOKcuOaX+ytinbgWj+gtCDGgd/Owy1wGATDDRCfwP01kOw84u/IK0UCqageqcTU0YRa5eI7fHx+ZiVlGrBPjoD+5hM4ulW7mvp5vG2PnTAKYoMtyWoDauEOVgZVdirMGFviEv9TzPe+hb9zTbW9pexLyuFRCQ594Kkk1blI3dSH5I5+X2qJrMzMZF3bMdSRzWmBMzfHmVMU5xI0UcsLnifgJZUuIanDeeabccyLDQMgEdyl/OW5yUMRFwpC7nbvpiwFufhvekMC40hJ5rD2rVref/99790vgFSK6qZc+qViPFKpsRMmPcrY9ndaylrWoyohqjPTaO24hhuTX8GlzRIj1HAcRMfZMyWjyhO7OVi5TokRJZkPEXpqJUgQdYGhYzATfTNGKTH8gLhhI0n11/KtkgVIgY5JZ8QsL57YBwx22QEUz6WQNL49YbtEznedCkAHZFdjPH8jO8NP5Y3c74PwKUfvYZlf1uSOAamqUNMYynbts0nGklBSMSwt9Sz4KJryGzIROkMI7rM2I4z2N54EWq6hhy2MemY93ikV+a+lm5E4MnyHOIPv0tHoAirGOS0m6tJHVbO5xHb62PgH3UYMRU5w0b6ZSORU5PXg9/v588P/ZWEFsWipnLdzVfgST+0zdA/oysQ5ILHN7G3L0xllouXrpmKx3ZoW6FtbT4ueXo9QxGFYVlOnr1iMpmuL27++5+MI2TpW8QRsvR/DAN7Mf5+EkKgnZieySsDd+PXcsi0BWjc+xaic4Azc7ai9Ni4bvbd7CqrRNQ0rDsHEHvCXDz8VablrwHA0TeKhpZxPJT5OrJmZVrT6TSnrqMxsw6ANCWbWzpkao0xJLBgMhIMBRK8akxg4JNnCW5+l69tRLYfNpOF70+/jMsnnIkhwbMFCk9WZhCXBARDZ+yeOi5982XyO1vYl+6hM9WFcYD7yEjmYXgjFnKFLXwy3cmK4uNpcVYT/VzfquyoztG9KrN6VIbH2xjM2EA4axNCyqHVeGKnCft2Det2EdM+AcEQCNuyGPBWM5A2Al9KOYZoSjabNQWIWAaIm0Jo5iiYFQRpvxeSDqImIOgCkv4/y53QBA1d1DEkHUSQBQGTLmHTTKToDtI1D3lKOll6apJYiSBn2LEUuTHv32Sv9aurgyKD0FsH3duhc0ty69/DYWvnzkcvPIaYdR5RXxGxhjDG57KjTXlOHOOz2FPu5Af7OtkVSrZOme91M9MZ5K3OFjYkCg6YUtpjOjP2dXJn368p6a+ndVUadRkFNGU50GP7v1swSC3zkzkxgM0dPvBdg5qXj6R5LGcO9kEXCzdFyFM6WDr6JXbrexEAk2jiru7LmDSQbInxx4K1fOhMOlw7XBP4uXsVg0GRB7tt5Cql1AyOZOmHH7F69eqvXJOiaUczY/ZJbFHKOSpqZqSSVDtlNUpp81vkdaxkyGFh+8gJXFC49BDCNGnLFk5v3sfwzLPQ0FmedTf5o5PXX9mnImr0YSJHvUOf+V1UTeClDWfzUSBZlVpV2kq7+ZEDqmXcOhbNlIM9+C6iYXDHyuHMSL8eQZTwKV2UO25jQc3l1KefiDMS4keLH6M1NxlGVAUB3wyZBYkX2bF1PvG4EzEWwrGvkZNvuAPXBhNKdwTJY8Y8PcCOrmvRMgzMURcT57zHXS0Kz3YNYBNFXilLp+kPS+mN5uM0+Tjtzum4cg/1PFJ6wvQ/tQvNH0d0mUm/tBpzrhOAjrYOnnzyKXQ0UqUCrr/zEuSvyTVqH4pw+l9W0xOIM6kkjWcum4TVdOhnGnuDnPf4OnqDcYq9dhZdOYW8FNuXHPE/E0fI0reII2Tp/xB665OKUqibsJbHywN3E9bTyTd1saFrBTnmVk7P3UFjexE3nvYzOjOysMTisN2PN9LNrWOeItvTBoZA6t6TeC4S4v2UNRT7qhnePZ3VRc/ht4cAkWMGszjKn8oOkgZydiXA4lg1je2dDLz3MFqg7xsPe175NH4x7xZy3Jm8l6nx0HAP/VYRSVM4eusmLl78PIISoSUjBb/9YA8qQUpHNlWTG/bRX9nEy+PH0uQ8iqjp4BtkdlRnXrfK3G6F0kQ3vqx1RHLWo7o/p3bpYGmSsGwG63YReVAAwcCaoSLlSQyWltOYVU6H6MKnCMTjOmJCQNb/9VwIAwNd0NEE7UDiroGBsP8/0RCT21coSl92XEVKIAg6NsykG26KE1mUK3nY3c79idoerBWpSJ7D+3gdhqgP2jdA61poXZP8f+3zeVcCeu4UYu4ziQSribWoSYUMQBYwjUrnmUobDw35UAyDNJPEHyoLqJB7eaTuA94NjcZnSobwBN1gZk89t+57mOwl3QT7rGyoqWTQ9DlLBMHAVaViKxXIzG5BlhUANENkszCBj4z5OPZUMqvOh+h+kUUFO4haFDDgpv7zWdA/HcMw+FXZLlZZHgHAYy/hJ2m7aGl28oQOdiOFaZ2TeOf199mx46udvieffCbFI2exVi0mWxW4PDZEQk2GkJzBVqoanscRaqNx+DDmVG/DJQ3SpZdw3KQHmLhzJz/cEcReMIOQGGF31m04a0IIcShY/QPiFKFM/RuD1k2gG7y98Xhe9y0AYGxJjL2WezGEZLgzYa5CM3mxhT/FrBvcsziXmpJbEC1OonqQNPtPmT7hDnyOckY11PH9Nc+wtngyAIok0zQjgzPDT1C7dQ6qakWO+HB0tnLmrfcgfxxD7Y0iea1IVXupjf4YLR0sSjpjZ73D5fV+lg8FyTLLvJ5nZ80f1uJTskm1DnDa3QuwphyaT6T54/Q9tRO1J4JgkUi/uBpLadJaYOvGnbzx1isgQHnWGC649pSvvUTrugKc9dc1BOMqJ4zK4aFzxiL+UwXcvoEw5z2+jg5flLwUG89dOZki71crV/9JOEKWvkUcIUv/R9C1HeOZUxCiAwTUIl4ZvJuonkKJUc8K/zYqTXs4OaOWj3snc8e5PyRkd2IPhFC3hxluquWmMU9jMYcREw7stefza/sKWixdTN53EqoYY0PBEgzRwGy4ub1dpFcdQz9eBEPHFzV4TRnJ4LKnCG3/4BsPOdvp5d753+fYipnsdOn8ptpJvUfCpEQ5ce2nnP3Oy/isEq1eD4kDb40SonkYFmkYKXITH001WJ5/FGHzwcqY1LjO/G6VY7sUhkd8hLLXE8hZTSyl6eCXa2BtELBuFLHsEJFCAnG7CV9FCu2lebSnZRFW7Yhx05c2yAWIiTESpgSGxUC0SMiyCcmwQEJGD8kYITMm1YasWTFpNkyahbQ0F4WVGZSOzKKw0otkEjEwMAwDRVeIa3EiiQj+iB9/2E8gEsAf8uML+giEAoRDYaLhKGpURYgJWBUrkvHFb+IGBgkpjkkU8OouKhP5jPRW4arKwDrci7nAdaBK6SuRiEDbWmhaAY0fQc+hZELzjCLiuYjI4AiU/oNhur2lDn5WaaZ+f77ahble7i7PJRrczlMbnueN4EKaUlMO7D9paCcXfPwaIz+sI2K1sqGqhIhxkKRJNp1oViGuwjC5OXvxpBzMxeogn5WJBaSuH8fRe15kg2Ubb0/XiAka1/eczQlDs9DRubOqmW3CAwhopFi83JHexs51mbyYFUYUzczaO55Xnn2P1tav8P8SJU6/8FIieVOo1bKRDI2HtA/oDB9LwnCAoVPQvozS5rfx53sZM3kvDslPu17Bwon3M6NuJ7ftsSJ7y9ln6iJSeBdimYbokyne9Hu6TXHM4x/A5+hC0A0+WncMzwVOxhBExhZKdHt+TUhN+oQpphIMyY45tgunbvCrRW5KK29GcuWgGgo9KY9x+oSbUGUbV77+PMcm1rI0ezYgoFrtrJ+cx2X+R2nYfhS6LmMO9uL2D3Hu7b8h8Xov2mAMOcuO5l5BQ8qf0VPBTiGV017jtO091IdjjHBYecEdZ8nDDYQ0L9mePk6+53Tkf0qu1qMq/c/sItEcAFnEe34VtuFJY8p3X1vG+u1JB//ZkxYwe+GUr70sV+/t5+Kn1qNoBtfOLuP2BVWH7dPpi3LBE+to6g+T47Hy3JVTKPmaUN9/Co6QpW8RR8jS/wG0b8L4x6kIcT9DajmvDvyEuOGmNLaO5YlGRpkaOcFdxz+iJ/Cbs69DlWWcfX6UHWHm53zM2cPeQBB1LIFCBhoW8Jv015AUJ0c1nsnW3A9oS0s2tSyPZHBTj8EqpqMiI+txPoqXU9vUxsB7f0ILDXzNQJMQBYHLxp/JrTMuI+ay8UCljfdyZMxKmLNWLOOkD9+k22OnI9WF/tmDXHAgW0ZjFQuJ5Dbz4qRs9rnGYexvYWLRDGb3qhzXqTBpKEo8fSv+nNWE03eAuD9UpIN1L1jWSZi3y/gtafRleekqzKTfk4YhfLFEHxfjRC1RRKeIO9VNZnom+Vn5lGaVUpRWhMvs+sLPAUSDCbqb/HQ3+elo8NHbEuDzdzXZJFJY7aVsXAbFNemYbf+6WhVOhNnTs4e9XXtp726nv7+fiC+CHJaxaYefk46OKsdxY6NSKmJKxSRSx+ZhKfF8M+IE4O+Axg9h9xLYu+yA6mQYkHDPIWw6j0hvFqigCPCXahvP5CXPrcJu4bHqYoY7bTS3PMqbH7fwrnEiOwpt6FLy+4cNNHPeq68zc+tGBtwuNhVnon8uLGi4bUTSS7Glxsj39pBauA3T/orDMA52DM2lbKlA/oYl/PkUmV35cEvXBczzT0VB46ZRvexV70M0YqSZ7NyUOsD6ZfksGT6AIQrM3lrBon8sZ3DwUOPSz0P0pHLN+eewxTODTt2DGYXX5F/RGVrInthRAFijfVTtfg6ntZthM9uxSSFatGqOm/IHTti1k+91ZCHaUtlgqiel+rfomQamtjRK6u9jl72ZzOrfMpSiIOgGKz+Zwz+iJ6CJMtXZFoS8R9kXSRrEalI2hmhGVlrJ0nR++ZiJrBHXImeOwMDglaJV/LZqIZKm8sjv7iJvZIC33XMBET3Vy/sj87hm8HH27ZoIiNh8baQbImd9/5cEFzWjBxKY8p1EfH+nZeRb6G5wmUeQNfYfnLC1nb6EyoJ0N/eFW1n89wBxw0lJ3iALfnz6YWqPoWgMPFdPrG4QREg9sxLH2KSL+5MPPU/b4G4EQ+Tyyy8jvzCfr8Orm9q59eVtAPzq1BrOm1x42D69wRjnPb6Oxt4QWW4Lz105hbIM59ce+/9vHCFL3yKOkKXvOFrXYvzjdAQlRL9SxeuDd6EIDkoGP2CV2MVYayNz5UZ+77qUJ044BwBH2xDCbh9XDX+R8bkbAHB1TmVFdw7Ppr9Pef9EyvvGsbL0WULWECBzUZ+NklAhO0m+ucUUjVciVXQv/RvhnUu/8XCHZ5Zx34LbGZ5byaJiC0+XmtG0IOd9tJR5K5bQ7nXS5z741idIWcjW8VgkL3sqe3m1ZjhRc/qBfx/p0zipQ2F+t4Js24c/byWBnLXopoP5LZZOA9NqE5HmDPqcOfRmZjDg9WKIh6oxBgZBUxDNqeFOd5Ofk8/wouGMzBtJmjXtX16aL0I8qtLZMMS+nQPs2zlAaOhgyb0kixSP8lI5OZvCai+SfGgozjAMNC2EovjRtDCaFkZVw2h6BF1PYOgJdD2Bbqhg6OiGTm+gh/b+Dgb8Q4T8MYSIjKxZ0DQZXZfRNBlFk4gZAmlGOtOKp1MzcyKWvC8ngIefVBD2fAi1b0DD+6Amc5U0w0XYdRXh8Ey0qMz6NImfjbLSZxGxCgK/qszn3Ow04vEe1q74IZs/PY5PckrYVGYlsd/rqqSzlYvffpUZW9azpSSXXveh5C+Rmkk8I48Us4g9ey/uwkYyTMkQsGKY6G+vofrJWpYVGjw/28Rt3VcyLTSaqKBw5fggfdHfIupBUiWZK+UE69ZmsGLMAAgw68M0nnhlHfH44bYIn8FSWc1Nx87lHftMQoYVlxDnNflHmJRclgeuIawnr9W8jhWUhT5k2MwmLGKUenUSJ039JZdv28V5Q0UIkollwnLyZ/4NwwrO2nHktd/Ics96qssfZNBrQtQNVq+czzPR+cQlCxVeC3nD32DTwAoAdCEFQxSQtCEqNI2fPSzgrroQU9F0DODmcQN8mlFMYVcHTz1wG+pcB6+bFyAgoufks7g8h2u7nqa7cSQAjsE95HtyOfXqHzP4VB16RMVS5mZo5720z9uMYYdU1xT08j9z+vZ9xHWDGwszuaT+E958y4OGmZqREWZef/xhOXOGpjP0yh4iW3oBSDm1HOfkHJSEyp//8Di+eA9ut5srr7wSl+vrr8UHljbwwNI9SKLA3y6dyMyKjMP26QvGOf+JtTT0hMhwWXjhqv98wnSELH2LOEKWvsNo+RTj2TMQ1Ag9iZEsHvoRumQnr/s1NpgHmOxoZEKskx8Nu4V3ZiQdu22Ng3jaOvnh2CeS+Um6SErD6Tyqt7HeUc9Re88kbPGxoeBdDMHAobn4ZWeMXepMBklFMHS2Kdl82jTIwLsPogX7v9FQzZKJ78+4lKsmnsPGTAv3DbfSbQpxwfvvcczqpbSmuxhyHHwQiqZyZOt4RLOVNTUJllVUou93dfYkDI7vVDi5XaE4HiKQsxp/3ifE3fsOfF4OGLDVzmBbIV3mIvrT09GlQ8lRXIwTcoRwZbgoKSphbPlYRmaNxCp/O1UzhmHQ3xaicUsH+2obiEY6kO0DyDYfVneI1NwYtpQwOj4UxYeq+jGMr7Cb/jdA0yQU1Yym2rCbs8nOqcTmyMFqzcVqzcVizcVmzUOS7F98gFgAdr8L21+EvR8DBoYhERXnERQvpDeRws9qrKzOSK7lmV4Pv6suwipCY8OfWf9mL11tx7BumJUNw0zETPvVqNYmrnjjRbJ7mtmZn8HnvRl02UQ8swBXno6SsNGaYaK6eDPlUlIR1Q0RpTYF6aMgD8+wcl3ke4yKDGNICnPJJI1o8HdI2iAposg5fSY29trZOHwIwYAp/4DHl+38yjnLmn86Z1dX8rZ5MhoSuWKYR+VfUkkPnwQuoT42H0iqTCMHXmT8uJXIosJW7WhOnXYXv1hfz+xoEbphsNZ4DO+CZIFF1saLSBk8hne8bzGp5HkG08yIusjmVcfyRHgWUclOkcfEpEkbeK/9BQAMwQ5oCEacKZrKTQ+CreRELFUn4jPBmdNNDFmsnPHRu/xw5RN0HOPlfRYmXc0LS3m7KIsrW55nqK0YQdBw9dZRVTWFOSddRf8TOzAUHetwDz3LrqfnnE4MC2RlnEB9+k+4ob4dgD8PL2T0e8/z/tpkPuOMuSZGnzHzsHkzdAPfW3sJr0mau3pOKMU1I49oNMqTTz5Jf38/BQUFXHzxxcjyVyuuhmFw60vbeG1LBy6rzOvXTaM883CSNRCKc/4T66jvDpLltvDiVVMp/g8OyR0hS98ijpCl7yiaV2I8exaCFqUrMZo3B+9EtFhJa1lErd3PdPceSobC3HTUj1lfPQZB1zHXDVEeqOXWsU9isQSREk7k2nO51/khQUSObjibzfnv05aalPbHhl1c3SvxMbNQkdF1nbfDZTQuf5ng5ne+8VCnFIzhtwt+iD23kD9WWliZFuPcD99nzpqltHpdBG2fJRyLSOZqJOsEdJvEslEm1pfkYuyX8UcPqZzepjCnR8VwNuPL/5hAzlqM/eEXQTPQ9jrpby2hRa8ibj1UhYhKUSKuCOl56dRU1DC1fCo5zq/2dfl3QdPiRCJNRCJNRKP7iET3EY0k/0wk+vimVYMAomhBkhzIkhNJtiOJNkTRgiiaEUQzomDaTyYOEgrDUJObrqDrCTQ9llSmtAjxhB9DCx9qmfA1MJszsduLsdmKcNhLcTgqcDgqsFpzEfZXu+HvgO0vwJZnYbAJw4CYPgG/dDmP55TxlwozuiAwQhN5alwZxWkOhobWsurdR+lYfQZh0c6mSlhbaSciJ6+RMbt3cd67L+MzxVFkCUM46BOqOtzIFQ5SMgdZ3TGV7opU5mQtYTRbANANAaUxlfWtKnPk2ymJ59Fm6ueySRKC/yEkrQe3AAu3p7LVrVBfFEJWBcr+6OPV2q+2v5h36U/ISnPyiVwNGIzVernD9iiTxXqao2NZ1n8DMVMaGDol/o+YN+wJTGKCleppXDjjBv6+qoVyNROfodFlvx1xZj/EBYo33IspksNLOY8zO38l/lQTMjZ2rJrPXwOTCclOcl0yJ8xq4vm9j3y2OhgoCBicpiqc9aCAJWc6ljEXsjrDxE3jk0T3j/f/grnyOj6eUERtYi4CAv1FZSwtyOXy3a8S7stEluK4Oncyee75jKk5lv6/7QLdwDrCTseSS+m/LAwSFBRcysvCpTzc1odVFHhzTBnaY39m9d6JgM5xF+RSOmPEYfNmGAb+91oIrUgSLfexRbiPLqS/v5/HH3+ceDzOuHHjOPHEE7+231tc1Tj/8XVs3DdEYZqdN66f/oX+SgOhOOc+nlSYcjxWXrxqKoXeLyH//z/jCFn6FnGELH0HsfdjjOfOQdBitMfH8vbQ7ZhtVqyNT7HPEeSYtD3YOiWuP/Vu9hSWIikq4nYfs0zLuaT6JQRRwxIsoK/hWH7jfY0sfw01nZNZVv4PQlY/AjLX9RpkhoexneQNrle183aLQdc7D6D6ur/RMO0mKz+afS3njDuZ50qs/K1IZeHKD1jwyYe0pTkJWz+7kZmQLKORreOI20U+rHGxrdiNIQpYNIOFnQpntyqURmIEctbgy19G3HNQRdKGzPS3lNAcrkHRDxIkDYUhp4+UvFRGV43mqGFHkeXI4n8ThqERiTQTDNURCtUTDu8hHN5DNNoOX9BQ9zOIoiWp3lhyMZszifld9LbI9DfLqDE3WsKBzell1Mwqhk8rRv4iL6X/p3EnQ3ydvkZWbHmbzrZ6bIqKQ1YxWyJYLGEs1jA2awTpK9zIJcmB01mJy1mNy5XcHLZyxNbVsOFJqH8HQ9eI62P4IPVGbqsuwWcW8SgGD5vczJ1ejGIMsOHTH9OwZDrRYCERi07zqHbeLhpFQkoSsaPXr2L0jhWYlKRh5mekyRBEjPxUyqbWsattEq+rJ5Iy0s8C86uMZyOQVJoinRnkt1xDVriEHbYmrh8vYPMtQtQ6cSIw59NMNlUEaM+MYouaEH/awrq+oS89b9Hp5v4r/8QSU5w6IQcLKnMHd3F61vscI20lrLr4sOlqOtxJTzN3oo0Tcn9DqtzJW+rl3DzjAt5c3oMHJ/VaEFPZzajDNPQhB5Wb/0DMgEfyfseJeQ3glrHImexaeRR/HhpNwOQhxyFx1rwentr9+89WAtAQgGuUOLMelDCnj8Ey8Sp+M9LBawVmsgb6efLeH1I1uYMHy8eQCE9FQKC5sIL1+dlctOMd4kE3VksA+75aFlxyF/nWYQy+kOzNZx2msW/51fguSSbvl5bexl3+eXw0GCDPYmJJTR61v3mUXQMTkYUEp946lszyw3//DMMg+FErgaXJhHr33ELcc4vYs2cPixYtAuD4449n4sSJX3sdD4TinPLIp7QNRplUksazl0/GLB9eWdoXjHPOY2vY2xcmL8XGS9dM/Y+0FThClr5FHCFL3zE0LsV47lwEPUFrfDzvDt2G1WlB3/04A/Yg870NBDrSuen8n9KZkYU5GkfYNsRFWS8zu3g5AM6e8azqLOIfaR8xpflUEDTWFL+OLuq4NDu/7QyyXZ1DH14wDNbHs/l05XICa1+Gb/grOaNoPL877jZ6i/P5bZVExc5lnP7hu3Sk2IhYkiRJwIxkHY9kGUvMLrK0xs22YhuGKJAb0TmzLcFJHQp2aQBfwUf485ahmZP5MIYm4OvKobW/hkAgg89UFE0LEMlSKB1RxdE1R1OVXoUo/Gtl+N8Uuq4SiewlENhOILiDYGAHofBudP2Lc1xk2YPDXordXoLNVoTNXoTdVoTVmofJlPaFb86B/ig7VnRQ92kn8UjyoWRzmRg9p4Ca2fmYrf97rRx8UR9vfvwa2+q3YwpZserW/ecRx+T2MazKw4jidBKJVsLhPUQizRiGcthxRNGG212Dxz0Gj6mYlMZtmDY+hxEZYq9pDleP/AG7PHYk3eC2FpUrxhVhrfGwe/dv2fq6yFB70mcoLXUj744cy4e5yXwUcyLOUeuXUVO3DllViFkFrPunXnfYKJvXTEhI5W97LyRYWoWU1c6ZPMeY/UqTYci4W+aQ1XwyHzt2cvcIA1dgKegdODSB2WuyWDVmEL8zgWPASdtdW+iMfnn+kr1qLB+d8lu+ZwzRh4Ns3c/CPZ8yeWQ9x0obUQ2RddvnsSXzUgTBgmTEmZ3yKJXW5TyfuIWHphzPC6sDyIKJ1dFtZMy6Hz0FhPYRVNT+kG5TP78o/A3nZPST5RZw2Iexc9lEHh6oxG9KIcshccGxQzxW96v9IxIAA4tgcFs0TvVDMqaUCpQZ3+Oio7xYlDi/eODnFAw1kbOgn7u880mNJHMStxVV0pjj5awty9DiVjyuLizN7Zzxg4extZrxv9ucvBa8+2hrvofAGcnwcEnlH7iwrZK90ThTUxy8UGjhg3vfoDU6Eoc5zBk/n4cz9YvD3IHlbQTeawEOEqZVq1axdOlSRFHk0ksvpaCg4Guv24aeIKc9sppQXOX8yYX88tSaL9yvNxDjnMfW0tQfpthr56Vrpv7HGVceIUvfIo6Qpe8QGpdiLDoXwUiwLzaRd30/xOU2Eax7jJg9wHFpu2nsreDWi3+E3+XGEoxi2d7DrcOeoDw9aSTp2XsCT8YG2eBoY0Hd+ezKXkVj+mYARkcs3NQj8gFzUTCT0EXe7nKw+62/kOjZ+42G6DTbuevo61g44SQeqjTTPbCGS99aTK/TdEBJSpKkiUjWMcStMh9Xu9hSakGTBEYNaZy/L86sHpVEyh6Git4hlLn9QKwlHrXR2TWc7u4yVNUKhoEp2o+aJ1E1czrzRsz7tyVj/zMSiUH8gS34/Zvx+zcTCOxA16OH7SdJdhyOSlzOKhzOShyOchyOCswm79eGEr4MSlyjbnUnWz5sJTSYfGBbnSbGziukZnY+Jsv/bsPQnp4uXlqyiMbufbjjKQesCnRBx5Xv4qQ5J1FRWEok2kIoWEswuItgcBeB4E407fCmyU57BSmKm9TGWqwdffyg7He8mZ00jzxrX4Lbw2bSTyylT1rC+jc+pnvH6RhIZJl2I+TYuHd4AV0pyZJz71A/s9YsoWxfPYophqw7EHQdQxDIHO8jvaaftxtPpFM9ifU1DsqFes7XF1EuJn8nxIST9L2n8E40zOMlKu7ADlSxF1tCZMaWdJaPH0KRFeTGDGp/tYKE/uUKYekpV/F05ZlcQYQEEjNCDUxt2EDRpH5OkNehGiL1Gyv4OP8WRCGpslRaP2a662leCN/AirFHc++upHK31f8EttNWgQTO2gvIa5/LZkcd9+Q/zKmeGJM9Ommp09j6XgUP9ZfiM6eS7ZA4d14fT+z+3SHjypB17hiMk/cXE7KrkO75t1GgmtHDHagrHsDm6SU4P8gTwjmkKMl5XVNazUCKgxO3rsHQJbIz67HsEzjrR39BWTFAaHUnSAJGYCkd7kWE5+gIgon0qsc4bU8KIU3nmoIM7jTaefXBeobUAjLSwpx690JMX6KMBle04V/SAoBrTiHuuYW8/PLL1NbW4nK5uOqqq75RwvfS2h6u/MdGDAPuPWUkF0wp+sL9uvxRzvzrGtqHolRmuXjhqimk/ge1RjlClr5FHCFL3w0YjR/BonMQjAQtsUks8f0Aj0eiv/4xDFuQE9z1rA5O5CcXf5+YxYp1MExafRM/rvkLKc4eBM2MvfZcfm1dg193MavxOD4uf44hezcYAlcNqJQFK1jPWAC6VAdvrNtD38d/w9AOVwu+CNOLxvH74+5g8/B8Fjv2cunL/yBg1g/kJAmYkGyTkSxjSJhlVg13sKHCiibB7B6V81sSjAooBDM34CteTNTTdeDYvqFsOjsrGRjIR9DBM9SHmKZSduJ8jh59PHbTvz/nIBbvxje0niHfOny+9UQiTYftI0lOXK5q3O5RuF01uFwjsNmKDubt/JuhaTp71vew8d0W/Pt7ttk9ZiadUMLwaTmI0v/O934GPaGxcfkK3tq+hHBcw6187p7igaOmH8Ws8bOQ9ifTG4ZOOLKXgH8r/sAWfL5NRCKN/3RUAVdU5p3YAh5NuwSAGb0qv9oeJWNcNsaUQdav/AOtn1yIojtwST0Mc3fz53wXn5ZVE7EkwycVTbuY8+k7FPW00ZeegxRLNgS2ZccpndtKc6yE7btvYOnYXII2gUn6Bs4SniVH6ADAHMplaX8qz9sdeEIdxExD2GMSE+pSWDlmCASd8MdZNP/9oy+fIFHilBv/zAmWYn5BUgm8ec+beAb7SJse4WR5DYohsnd9Nu8UXYfFGIEgCKRI7cx2P8IHgycSHT6bk7p1fIbGoH4rynE+BE0kd/09OIP5vOR9n6czFzPZpnCGVyE/6xQ2Lk7hgYFSfOYUcpwSJ8/ay6Kmvx4ytBFWjes7EqQ/bkJyZCPMugO7yY4W6iG66g+kV7Ty6jQT+4LnYdaThOHjYWOxmBSm7UomuZcWrsXeO4xTb/0jQy80ENs1gGCTiG56mJ6jNhAbZyBLLiKlT3NpY/LF4LHqYmbteptXXnIQMzyUVWgc+/25X/riEFzZfkC5ch9bhGVaFo8//jj9/f0UFRVx0UUXHbi+vgp//riR+97fjSwKLLpiMpNLvV+4376BMGf+dQ29wTij8j08d+WU/5jmu0fI0reII2Tpvx/GnmXw3DkIRpyW2ESW+H5Iqsegc8+TmC0BTrLV8zrz+e1516BLEtaeIKX7tnL76MeRzWHkWArx2jP5Rcpb5A5OoWCogI/LF5GQY9h0M/d1+WhMzKGNpLHjOp+DFW++QLR58zcan81k5Uezr2HWtFN5pCTGnMWPISR8+BxJSVswJCTbJCTrODTJzPoKG58Ot6KZBE7oULigJU5BPIYv7yN8xe+iWJNl/7ou0tNTSmfHcCKRFLx9fbiUQXLnTmbGqVf92wmSovgZGlrD4OAqBofWEI22HLaP3V5OimccHs84PJ6x2O2l/2vE6KugazoN63vY8E4zgf5kaDI12870MyooGvnFD4V/JwxVp29jC6+sfpk6pZXUqPeA67hm0Rg7cSwnHHUCZvPhb+mJRD8+30aGfGsZHPz0EBK6nik8wo0ogoWKSJAHNyhkC1Zscz1sG/oZ+94/jZCSjVkIU+qtZZk5waaiSnbkl6GJEqZEnJnrP+Tkj9+jNy+PuBJFMHREs07h7E7M+Qrbt13GOwVH0ZRtQjQ0jtM+5CyeR5aSClhTyMnfIl50X5iQLYIjIlHV6WFT+SC6AR2PmfCv2fKlc2NKL+Qn599DjzWDtzGwkuCRjx+g1+zCOSvBCfI6FENiz/ocXig+H7cxDhtmZCHGBMeL7OkoIL9yHsUxkfr4ENay7xMfYWBJZFK48heIuoVf5z7BSs9mCkwal6UnGFN6AytfDPHgYCl+k4d8l8wxEz7h9e7PmgMbgMB8t8KpOzW8i2QEezr60T/GbXKgh/uIfPp78qY1cHtlCeMd19DW2oaBwPvVEymL9FHR3IwgaAwv+4gMzmLWWd+j77HtKO0hJI+E763b6L+km0S5gdVawMr0P/Ngh4JDElkyfhjOV37P4jUT0TExeW4KE84Y96Vz+HmFyXN8CfHhVh577DESiQTTpk1j/vz5X3+NGgY3vrCVt7Z1ku4089b3ZhzWdPcz7OkJcvZjaxkMJ5hW5uWpSyYe1j7l/w8cIUvfIo6Qpf9uGI0fw6KzDyFKaW6VfXv/hsvi5wSpnqdSzuQvp10IgKUtwHTfUi4b8UIykdtfTPPemTyY9gEz9p7OkL2TzflJl+2yuImfdSss1RcQxoFiiLxRF6Dh7cdRo4FvNL4JeSP53fF3smZ0AdLmReR07D7gkyQYApJ1HJJ1EohWthdbWDHShmIROb1N4eyWCOn/H3vnGSdFmb3tq6o6x8k5w+Qh55xBQBDFvIo555xdXXPYNSJmMaCICojknHOGYQYYJufQEzqnqvdDu+zfd5fF3RXU3bl+v/lA013PU09Xd991nnPuozhpS1lMa8paZPWPLRx8Wupqs6mry0LX4ie5qoKI9Aj63HgP4V3/vqLm315bJUh7x35amtdja91CR8chfpqELWI25xIeNpCw8AGEWXujVof/YuP/EgT9Moc31rB7aTkeZygCmFoQydCLMgmLPfMVPkpQxrG7njUbl7FB2YfOY0YrhyKJQVWQ3F65XDDmAnS6U+eCeDy12GybaW7ZgM22iaPBBP7MI3QIVqKVRv7UtJDs2i6EGwdSnfQ5ZasKaHLnIeInPno3+yU/LUYLhzPTKbKmA5BQX8E1Cz4nyemkJNKE6A1F4aLybSQMbKS2tj8/eG5mc3boOzHW38EzrXMxRq4CUcYvwzK7ib31Im2GAGanRIrDRGFsO363hhN/rCbQ2HjKc7L0v4DXu3RjdnIfKgSRNH8TM5e8zLGIZHSjZSaqduJTVBzZlcS7GZcQJ+cTLYe2l1K1u1BXtJKZMxENIvtaNmCa+AlyGER6xhO18XLcBHk49TmOGeoxiQrXRnmZ1O0lln58mLfaM+lQW8gI15Cf/gnr3T91W78hykPv9SKRP4gI+gj8o58kXG1Adjbj2/sSwtgSdkx7FmNlPPv27SMoiiwuGMTguqNENzWj0TjJTV9NVvKz5PQYR+PM/QTbvEiWAC0Lbqf5fg/BaLBYevOK+DQb231kG3Us7ZFG+WtPsr481Lpl0g1ZpPc5telkx5pKOlaFCjnCzutCpbWNefPmAXDppZeSk/P3bt3/Py5fgAve2UpxvZ2eyWF8fdNAtKfoO3eoup1L39+G0xdkQn4sMy/vjeoMR2pPR6dYOot0iqXfL8qJDfDFRT8Kpb4sa3uQKIuL0rI5hGvamBg4zp/Tr2PuhKkAqEvbuUSey8QuITFkaujDqrp4FoQVMfnwJexOWUFVeChPY1p7gPG2eNYqQ1EEkUafiq9XbsW2Z9nPmptaVHH/sOsYNvZytgT2kbP9exos+lDJugJqdQ6icTiCaKI0VsXqHgacJonLKnxMq7QTITloTf2G1qSdIIUEistlpqY6D1t1EsnltSTYGkibMpm0K65D+hl5Cj8Hv7+V5pYNtLSsp6VlE4FA20/+32DoSkTEECIihhBm7Yda/fv4zHjdAXYvLefg2irkoIKoEug9IZU+56SiOgt3yEpAxrGtjgMbt/GDehNBnxpTIGT4J0sy2b2ymT52+j8VTQCy7KOtbRcH6rZxT2M36onFrLTzAM/RNVCNqbkXWimKyt3RVNpDid9hkbs4rnYjKGBKaOft9Itxq/VIAT/nrl/CVSuWsr1bJoqrHQB9pIe0cdXIKjNrSh/k29yu+NUChoDCK8XHiY//FHdEyD6j3i+yqEHHEQXC21WYAlAVGaCj3Ezln3bAKfOXBOKveJGnW07wSrdz8Qki0+q3ctP2+ZxIz0PXp4Wxqn14ZDWHd6fydObV5MlWUvwh8WAR68lpLiM+Yzh+RaGq8Xn8fzgOIqTWPYjuUB5VeHg97QGO6INIKFwaIXP9wA+Y9/YqZjrzcKqM5ERriYn4E/vEv1Xy6QS4P85N4jwNkZsVZF04gbF/JFJlQHY2IZU/Q/SYINKtO/lm/kKKi4vxSmqWdBvEhGO7MLrcWKwNdI3fwoCBc4nQpdI46wCKN4igqqNl05M0PxhA0SuERZ/LNe3X0+gPclFcOG8mqNn43Lsc7hiJWvJz4WNDiEg4tTFk+4py7OtCtg3hF2WxqWkf27dvR6vVctNNNxERcfr8xIoWJ1Pf3kK7289l/ZN54YLup3zu1hPNXP3xLnxBmUv6JvPi9G7/dp7hL0GnWDqLdIql3ydK6Wb4fDqC4qHc04dlbQ8Rbe6gpGIu0epWxrjKeKrvXSwfPBIA7bEW7jW9S0F8aOvMUnYOH7jbKNLAqGNjWJP5OR26ZiRF4LFGO7gGUkg2ALvrfaz+bg7e5n/SC+v/kBWVzitTH6c4P4q41e/QYhSRxdAdmEZMBtNYRCmcZrPIqp4GGqNUXF7h55waGzGik5b0ObQnHEIQQx9vuz2C6qoCKNKTcaKMBA2k3XAL1nMmIqjV//Faut2VNDWtpql5FW1tu/m/0SOVykJExDAiI4cTET4Ene7s+C6dKdoaXGyad4zKwlCbDmu0npFX5JCUfXYiYrLLT8f6akp2HGSBYQOegIDZHxK6skqmZ/+enDvyH2/P/f80eX1ctq+Qw24BneLmPl4gj0IAVG4jwU1jKWo7FwBdeCFVmhZ0wGTtDzyafju74kL5dxmVJ3jqg7eoTo6mRfAjBgOI6tC2nCXNyaETM3gvcRLtRglNUOH5Ay56S5upyv0clToUkdrWoeb7DhWWFg1unQ+7QaBhgUTT9wdOOX9VeAJpV/+FS05s5Yvc8YjIvLDjfbrXlVA9cjK66G0Mkw7jlLXs39uFe7JvY5xcR5onB59iRIWHEcFmTJHp1AU8BNV34BznRwpqSN//Z6QWM/uFOlYnPcIaUyiKOM4q8eSIeXzyyue85++BR9LTK16NbHiAUs3frvt4tcw9MR4sM/VEFAXxGyIRRj1OuNqI7GjE7Hmc8CEZ+C/7ls/mfElVVRUOrZ71ub0559A2VEGZxMQjxFvKGHvuKpQqmZZPC0GBYPNGWps+o+WOAIigir+Ty+pHIAN/yU7mEncRi97YR60vnzCrj4ueGnvKNj+KotC+uBTHlloQwHppFl/v+oHq6mri4+O57rrrTmtYCbD+aCPXzN6FJAgsu2sYmbGnvvlafrieW+fsQVbgztFduXd89mmPf6boFEtnkU6x9PtDKd+O8un5iIqLSm9PlrY+QpSxmZKq+cRpbQxureXhsQ+ytUdfBFnGWFTPM/F/ISa8DGQJ09GLeFHaB64cMpqSWZc5B7/kJTwg8ed6O7v8E2kkiqCsMH93OcUrv0L+mUnc1/W9iMmTr6eldAFuRxm+Hx2WNUoYWCYiquJxaQTWF+g5nqLhskofo2vrSBC9NGZ8gTu+6KT5cltbLLUnconc66TLiVKicnOIu+lmDIMG/cd3cw7ncRobl9HUuByH8+hP/s9kyiEychRRkSOxWHoiir+NZM5fCkVROLG3ic3zjuFsD1VW5Q9LYPAFXf+t3nP/DoFmN21LSqk8fpxvLRvw+sW/iSaNzIiRIxg1cBSi+M+3ORyBIFcfKmNzmwONEuDJpvfoatlNUNuBFJDRbhjJ3pbQFrTKUkadvopwgtwovMtM6wW8kXctfo0Wjc/LXXNnk1NznCPxkYieUF5cTI8W4vs3Ut/clzdV91AZqUNUFB4/7GFyYzurer9BetgxANoDAl+3anBUaKiKDiDLUP1UA+3Vp3axtwy4kNQhF9HVVsXe2BwiZTsfLHkefdBP7dV3Y3F+SD/pGG1BIzv353BH7u3cwVoinP1pDSahQWasIYhaY6DIVoh20Kv4UxUsQh5xq+5HkEWKxTUUxn3Mh1YrAH3Mel4d+S0fvPAuHwv98IsahsR7qTE+SYv6b5+rQUY/l1j96F8wEl7rx2lOwDTsXkwaC7Kznmj9g+gHjsM1/i98PHs2zc3NtBgtnEjLpn9hqE1STu4GwtUqxk1bhnNLPe1LykAAz973aUvZQftlQUCgIu4lHm3ogk4UWN43i5QdnzLv2wicchTp2Wom3jX0lH0JFUWh9bvjuHY3gCSguTCFz9bMY/DgwQz6F74rPt1aTm68hf7pp49GfbmjkkcXhLYv/1k13ZmmUyydRTrF0u8LpWI3yuypiIqTam83Frc+RpS+npLaRSRrWujZ3My90x7nQFYeYiBIZHE5L6a/jM7QjOjXIxy5lD+Z15NTORqXxsae5BUAdPMo3F+vZqUyAQ86bG4/cxatwVa842fNK84UzQtTHiGQoiVYtBDHjzYAalkDpnGImixkUWBXppbd2TouqAswpK6cVHw0ZXxFIO7oSZFksyXQWphGwg4bqRUVhI0aRdRNN6Lv9o/9UH4uDscxGhuX0tC47CcVV4IgEWbtR1T0WKKjxqHXn745538DPneArfNLKNxUC4ApQsvYq/JIPEtRJgDPURuti05Q2VHFN5Z1CF4dxkAop000i5w/+Xy65fzz990TlLnpSDkrmjtQofB29Td0a/TQnFCDJ2wP1q3d2dp0CwoSuqgjtFhKiHVIXCl+xFp/Tx7Ou4vqhFAu04g927lp4Zfsz0w+uS1niHeRMa4anxLOTPtz7I8L9XO7/oSXa0rcPN9rHmPDVhKjDv0c7XRK7CkzcdTqJ1ju5tifygieajtOEImb8ReSwqLwIdGuMzPcdphHNs4GjYmqax4k0fYn8qVKGgNW1hT15tHM63hPeBu/azTl3n5EqwQGm0Iit7zsbXxX70bRQgo3oV85iIAgE5Se4UBUEX8KDyeIQFeDiTeHfcH7L33IHM0gZEFibFQpByLexfN/8nCuiPDSR5QxP2PC0ualKSKDpP43odGFE3BVkxT2AKpBV9A28CE++OgjnA4HVeExyNZwUsuPIkk+evZaSri2B4PHfELb/JKQqFEpOJY9TuuUOlzDZSTJyNem11jQEUm2Ucey3pl0fHwfC/ZOREbNwMnx9JmSe8prQJEVbF8V4z7UjKARsVyVg7nLmS1keG3VMd5YcxxRgFlX9GFCftwZHe8f0SmWziKdYun3g1y1Hz6ejKg4qPXl8UPrE0RoqimtX0qappnsZjt3XfwkR9O6IPn8pB4r5OnMvyBqnKjdUdiKzuXFiE2MKZzKwaStlEeE7owuanMxrDWDDcpgEAQOVbWw5Nuv8XY0/ax5Tcwazh+mXo/vxEJs6pDHjyQLSPoBCPoBCIJESZya9d31jGmTGVx7jCQ8tKcvQIgrPimSWpoT8e6KIXVbA1GtNsLOnULkjTeg7dLl314zt7uahobFNDQs+kkESRA0REYMJSbmHKKixqBWh/3bY/zeqT7ayrrPi05WzfUYm8yg87ogqc9O8qriD9Kxvhr7+iqOq8r5zrwZiyviZHm6NcnKjPNnEBl56h8/v6xwV3El8xtakYC39RWMXb4UW3Ayzpi1iA1HWdd8NzJqTHEHMOYvwFRnZoJtMwc6cng++nw29xuHLEnE2Jp59JOZtFu12GUXgiwjGYN0nViBNtzPF01PsyIuVEgwpcbPDcXt3NRrG5OkLxhpDiAK0BYQWGULZ4vXg3deI8eXnjrZWxuTRuxVbxDrtdOoDwNF4Yn9nzG44hBSYl9KR00m2/dH0sV6KnwxzC0dzWdp41ikepIG9xj2Oc+nm14kQyvh87TT4nmIjos9CEGBzIY3EA5b6FC1kSHexPZIhQfDI3ErAnE6C2/0f4sP/jyPhcYhKILIueY1bEhadXJuKhQeiPMQ2SwR+5oRrcNNdWweWb2uRtKFEfCdIMX8MOLo+6jN/AMfffwJwYCfI3GpJHidhLU2YzC00rPXMhKiria/28M0vX8QX6UdRCcdPzyE7U4v3i5+NLpU7pOfp9Kv48qESF5JMVP40kOsr78EAZmpd/UmKffUUR8lINP8aSHe422IBhXRN/dAHXPmihgUReHRBYf4amcVOrXIVzcMpFfK2S3w6BRLZ5FOsfT7QK4phI8mIsrt1Pmy+aH1j4SpyilrXElXdRNJzX7unPFHKuKTUHl8FJTt4IHMmSD50bWnc7i0Px9GFDP54ATWZX2HzVCHpMATTe0EnMMoIhNFUVi4+QCH1i9GkU/fkFWv1vHw6FtJSVbR2nYolJekKGjFDLCcgyDqsZlEVvfUky3D8NpjRCotCMlrUcUfOdlrzNacABvCSN9Wi9HnxTptGlE33ogmJeXfWiu/v42GhiXUN3xPe/uek48LgprIyOHERE8kOnosKtUvkxT+34DPE2DLtyUc2RyKMkUlm5hwfcFZqZj7K/4GJ63fHcdb2cEW4wHWGQ8R2xGHiIgiKOT3yWfa+GmnzGcKKgr3FFcyr74VEXgrI5wpG9/GdqQHChJuPmVl610E0WKMPUzi0JmofApda9qpL+rO1/4MFo+9iDZrFGIwyA3fzyW/vIiqcAm8QRQJ0sdUEZbuYIXter6IOAdZEBjWGGBaqY3H8g5T4PqIP0R4T0aZtjr1zG9WqHuklIYGzynPPWrUNRj7T8fqddCuNWGRXXy07HlMfg+6/rdQnGSht+qPxIptFLmTeaPhAoriU1mqfoxKzyA2dtzKCLMWkyRgr9lDS9+38XZTMPgiSd33GnK7TIt2Hz2EJ9gYa+VJs5mWoEi4xsTzBU/z6TsbWGUNJcRPMn/BpqS/NQeOUck8EOcheEhP6mw1ksdDdXwPsnvOQNSakZTDxOmeRJj6KsXGAcydG2rauy81m9y6cnQ+L7Fxx8nK2k5W1xdJCJtKw1v7ke0+ZPtxOna8TMuTIgGTF8EylCs67kQWJD7IT+Ncfxlr/7yAYtdI9LoAF/9xBKZw7T9cQwDZG6Tpw0P4q+xIVi3Rt/ZAZT318/9TAkGZGz7bzbqjTUQaNSy4dchZ7SPXKZbOIp1i6bePXH8c5f0JSHILjf4ufG97GqtUSnnTGrLUTYS3SNx17ZPUR8WgdnkZWbucqzM+B0HB2NSDFXUJrNa7GVrSi9XZX+BROwkLwMsNLvb5zqGRaOxON58tWEbziUOnnxCQH9OVWyddiWLfiefHYipd0EQw7DwkVSx+CTbl6dGES4yvLkUtlxAWvw9t4kFEMbQl0doci2aVkbRt9agFCLtgOpE33IAmKfFfXyPZT4ttI3V182luXoui/LU/mUB4+EDiYqcSHT0Btdr6Lx/7f4myg82s/awIj8OPSisx8rIssgeevaR2RVZwbK2lY0U5Pr+P+ZHrKZWbiXaHWpgIeoHp502nIKfgH75eVhQePFrNF3UtiMA7ealMte2h/eud+Lxx+PiMpW0PElB06GOOkDz0bUSVH5VfxrEli4OlRlYOP4+izJBb+KCDe7hmyTwqMyS8rSIKkNC/kZieLexyncMs/XX4JJHurUHymjpYkHiESNt7TLV6GWYOWV3U+QVm7lPY+Wgp8il+sVRqDXHXzUKyxqIJ+vFJaga1FfHk+o8I6oxYRz9LobqcIbqnMAtu9tgzedh5DSkRLXyk+TPV3gI2dzzNEJMGQRBoPvYRtqs3oZggUTkP0+rzQQGf9n0yhEUsSk9mllqh2i+il3Q81uUe5nxeyk5LL0RkhkW+x96Yv/VXHGL0c1GEH/uSCLKWuxGCQVpj8knudyOCWo9O3E6k5kWESz5lW3sUK5YvRwGOd80ns6QQAcjO3kx0dAW9e3+O0ZFH03sHIajgPbYIh30RLQ+BIgaosV7Fgx1TCVNJrOmXTcye2Xz3lURLIJ34ZBXnPTwU6Z+U7AedfprePUCgyY06zkD0zT0Qz2DbH6c3wMXvbaOwtoOMaCPzbxlMmOHsuHx3iqWzSKdY+m0jN1WgvDsOKdhAiz+FBbZnMIulVDavJ09Vj7rNxN03PIHNGo7a7uHS1q84J3kxAOaqEczuCFDnjyG+zcqW9G+RRZksb5BH61WsDk7ELegpqazl22+/w2u3/aw5XdlnKkOywnEEQ4mr6qCAYh6LpClAEASKE9WUd9Exta4Wt7ydhIgyzMn7UKlCPx4dtkj0y/Qkb21CFEXCLjifqJtvRp34r4skh/M4dbXfUFe/EL+/5eTjJlMe8XHnExs7Ga32zDbH/W/D2eZl1SeF1BxtA0LJ30MvzjwrFgN/xd/spnXeUXyVdhpVNr5IXI2qWY8hGLprj02P5YoLrviHrS1kReGBo1XMqbMhCfBuXhpTLCKuL9/HdSKAV/6BxW2PElD0YK4mdfgb6I2hc63fGUPdvkgO5PZj3ZBJBFRqEpoaePjTmTiz27HVhMYLy3SSOqKSo8FevC4+gl0tkdkRRAz4KdMdwtr0Jrn6IJdFeLFI4FfgyXcd7Pr21NtxyZndEC944SePPbb3M4ZWHsSb1p2onrdTqOxkpO55tEKAtS09uF+8mWtMy7lD/T2Nvi4Uul4lU6fGG5Spb/sjnsuqIAg5vtdQNoWDWiFcuAW9VM1X+ZnMD7g45pVQiSrujLmGrxf5KTbnoMNLTsKbnLD+7TN1baSX7oYgji/SydoacjWXo3KwDLoDQVJjkFYRrnsPrlrEt/saKNy3F5+kwp6URmRFCaIQoFefJRgNAQYM+B6lUE/b/BJAwbX5NXzj/TQMDVmXzNf/ke883RkcZuKbHhnYZ9/GN7sm4VOM9B4Tx6CL/rmfWsDmoXHWfmS7H22GlahrCxD+QcPcX4qGDg/nz9xCbbuHAekRfH6KBr2/NJ1i6SzSKZZ+u8i2GuSZ41EFq2kNJLDA9hw6TlDTspECqY6APZL7bnycDpMZTbubO9yz6B27BQBTyVReC1YRXldAm6GJw/EbARhvdzGtOZm1ynBkBFZt3cP2tct/1rZbhN7KTaOmEm20IQsgKApqVTaCeTyCoMFmEtmVp2eMw47Dt4xEaw2xyQfRaEJ5TI52C8aleuI32RBFCeuUKUTdduu/vN0WDLpoaFhKbd3XtLf/zUVco4kiLvY84uIvwGw6vSFdJ6dGlhV2Lylj19JyUCA6xczEm7thjjh7jUQVWcG+oTpkPCgrbI85wnLVLhJsCSE3cBWcM/EcBvQe8HcVT7KicE9xFV/X21AJ8ElBOuOirPh3rsGxeD7uwB5+aH2CgKLHq20hKf9bUmO3YzepqNkSS3NhBI1R8Swedxkt1gi0Pi/3fPkRiXH7qSiPQQAMcQG6TDxBjZjKK8pL2DQSCa4gNo2I4t2NpflNjJLC5RFe8vUyPp/CNdfX0lBz6ma7A6ffQl3XyT+2uIUwv4OPVryAIeDFPWoaMdZJFLGCcbq3AJhfO5jHLNczW/cSA1RHqfZ0xx58FrMkUu3140x9ALq3obGpyWz+nEC5B3W4kxjXZbSpNazuFcsip5/9bhWiIHKFbgrfb0mmWp9EhNKKqes7tGrsAGgEhcfiPRh9ItI3vUjcfpCAIKKN7Ya+/80IooRZ+gar5QeC16zkrUWbaKuuxK7VIxhNmGxN6LWt9O63FJ02nv79F+D8oQXX7gYEtULM3X0pbXmZ6urPESUzD/MSFXIsj2XEc0e0mhOv3sHy2usAOPf2Hqd1ovfVOGh67yCKL4i+ZzQRF2efsqLul+BovZ3ps0INei/um8RL07ufcQ+mTrF0FukUS79NlPYmgm+NQxUooyMQw3zbc6iVMmptm+kp1tLhTuDBGx/BqTegbXXyhPwq6REHQZbQF1/CM9rD9CoexP6UXVSFhQz0bmvpIK6jH/spwO128+WCpVQfP3yamYTok5TL9D5d0WhDW2i6oIlAxAWoxCgCIuzK1pGpCaJyLkVnLSEr/jgGQ+hL1u00oF9mIG5dO6IiYD7nHKLvvANtRsa/tCYOx1Gqa+ZQX//9yeargiARGTmKhISLiYwY8V9X5v9rU1nYwqqPj+Bx+tGb1ZxzYwEJmWc3idVXZcc2t5hAiwe35GFO3npaKxyE+0LziEqOYsZFM/7u+yuoKNxRFEr61ooCc7pnMDTcjNzahPOd6+lwNLG49QkCaPFqm+mV+C3ddGs5kRTB4V1xtJVa8Jq0rJh8IUfDQ5VYl674nrHehRTVJyHKChqLQObUY9g0KbwcfJF6vUS4N0irVsJq24S2430QFYabAkwJ83N4v5v776/7u3P8KxEREeRf+SyVur/dQAxvOsgjWz7DYTAgTJ9MnH0cJcxmpO5bgorAR5Xn8H7MFFZqHiRCcnDENQOzcBGCILDTa8M66iEw+Ykqyyaq6nEUTxBjxHrCXa+yyZiJs2c789tVbHOGPjuT/SNZcaQ/rZoIUqwyHQnPECTkJ5WmkrkzzoOrTkfSkh4Y9u3DL0rokwag7301AGGqdzFFF+K+YjEvzp6HYO+gxRqB2WlHE/ATG11MVu4urJY+9Or2Kc3vF+OvcaBONhN1Qw77Dl5Be8c+/NpMbvA+zRVJibyQlQSVO9j4TRmHjsegM6m55LF+mML/uXj3HGuleXYhyArmUclYJ6T9S9fev8q6o41cN3sXsgKPTMzhphH/fnHKz6FTLJ1FOsXSbw/F2UbgjQmofcU4gpEssD2LEKygvnULvZRaGoLpPHrDAz82xLXzsvQnIi2lCAEdHLmYpy2HGHVwMGuzl9FqqEcjw7ONdurc46gkkeqaWr6a9x2ujtNvu4mCyPReg+iXYUUUBdRBCFjGoFGH7prKYlR4kzSkd2ymwbqZ/tG1hFlCoXufV4NmjYH4pU4EWcA4ZAjR99yDviD/Z6+FLHtpbFxOdc2cnyRr6/UpJMRfQnz8BWi1Mf/6Infys+locbPs3UM0VzkQRYHhl2WRP+xf3zL9T5C9AdoWnsC1L7SNVZRVx1zvchIaE5EUCdQw9dyp9O7x035iflnh+sIyVjR3YJBEvu3Zhd4WI0owgPvPQ2lp1bCk9TGCqPHrmpga/Qrp/uNUGgezshI6GiUkY4ADFw5imf48AAYe2sv1Re9wqCMFTcCHpFWROe0oQaEHz6gfoMoooQ/IuFUiqWULcAnzQYRkdZCro3x88GoDq1c5Tnmuo8eMo73XDJqlv4nSZ3d8QJ+6o5QlxxMxLZeEqouoFV5hoHYzDkXHc1WXUhqbzFeaZxEFhQP2t4lUp+GWFXaYtxM/5D0IQmbNXYjFvUCAKN0j6JRDvBM7iqysQ/zQrmWtPbTVOqh1AJtqzsEt6clP8lBheupk1eq5Zj9jw/xU7Yun3yozYnk5AUGkeOiNDIrsDchEql9An6ZQfc6HvPvJp6gCATpiE7A0hAoIcrPXERVbTXz8hWTGPkXjW/tR3AFMQxLQjTOwc9dU/H4bmqgLGNb9lZPrEPAH+e7lPTRXOYjvamXaPb1O2xzaubue1m+PAxB+YSbGvme2xH/2ljKe+uEIggDvXdGH8WfQUuDn/n7/uk1Z/g1mzpxJWloaOp2OAQMGsHPnzlM+t7CwkOnTp5OWloYgCLz++uv/8TE7+e2juJ0E3pqG2leMW7awyPZHlB+FUh+5hgohh4duegiPVoehpY03tY8QaSlF8lpwHr6YJ80lDD08gCUF82g11BMZkHmrxkex6wIqlAR27N7LJ5988rOEUpTRyu2jBjOgaxiiACopBTHyNrSaHjh1IvsK9KRbqvApzxOZuoDxXQ4RZmkhGJSQt1hJeVghYbELfUEPUmZ/QspHH/5soeTx1HHixKts3jKUwiP30t6+B0FQERM9kV49P2fQwDWkpd3cKZTOApZIPRc80IfMvjHIssL6OUfZ/M1x5FNlK58BRK2K8IuzCL8gE1Qiucfiecx+DepeEq2aVvDDogWL+PjLj/F4/lZ1phYF3stLY1i4CVdQ5oqDpRx3ehAkFYa71xAT3sCEsJcRCKL2RLPCdi9ORU+qcysT9SMx6Y0EnSr6LtrEzb7XUSs+tnfrzTND/0i2thmHykTQG+Dod9ngKeTFxu9IdQRxq0REWaEi/XzSmgaAAlV+iVfrdYyYEY3BeOrtmc2bNtAveBiD7D752F96XoxXVJFS00DJ2hNUZr1HjHIXR3xZmAQPtyf9gNji521/SNDlGh7FFfSjFwVSbf3pqOoDEpSJb6JOE0GBNvEpZEXLFfXbONyQxxSrl3N/3GbdFr6DgvDliEqQwmod6YHbTs5lqV1NrU8gqWcdi4ZHopgtqBSZmoq9LNHUAyIt/gfwVrSStP1phk2eggJYGmrxRoeEw9GiIXg9OurqvqXW8QURF2cB4NhSi3xcRUH+64CAr3k+dfULT46tUktMuKEAjU4iJs3Cz7kCjX3jMI9KBqB1fgmektbTvOI/46rBaVw5MBVFgXu+3s/RevsZHe/n8LsSS19//TX33nsvf/zjH9m7dy89evRgwoQJNJ6i2aLL5SIjI4MXX3yRuLh/rEz/1WN28ttG8Xnxv3Uhas8+vLKBRbYn8QdraWzdQr9gNcc03XjihnvxqzVYmpuZaboPo6EOtSuGqqJz+Yupjr4lmSzuNgeP2km218eLNXrW+i+kOaDnm4U/sHzJD8jBwGnnUpCQzO1j+pESZUUTVEH4pagsFyIIWopSNEjpPrTCW7gT3+HCLkUkRdajKBA4bCL+MZGkOW60sakkvv46aV/PxThw4OnPX1Foa9vNocN3sHXbCMorZuH329Bq48hIv5shgzfRrdvbREQMRhB+Vx//3z1qjcS46/LpPyVk3nhgTRXL3j2E33f6XLdfCkEQMPaPI+bWHkgROjQ2uHbnOCYPGkN5VDkyMpXHKnn1rVeprPxbax6dJPJJQTo9zHps/iCXHjhBrccHGiOaG1eRbD7CGOubgILsjGOh43kUIN74CqOiLkQvmfC06oheXskT8uOEKy1UJCTz6AV/Il3tplUdjhIIcHxRBh3CSt44epgMexBZFEBR2NfzRnofDzk8uxWBeUED/S6NPuV5+nw+tq9bwUhtKZISWl+b1soHPc9DkmVS6x2Urq6nuufrSMGHqQlGkyi28HD0PObZh7Hfn45G6sCqfheAdK2E98AfCHhNBJIUKkpuRjSrCDi1tGsfxCJ4yD/eSqMrirFGG5fEh4RFceIOMvWrAThUkkyMPBEINQP6qMlAEOjVbSdfX3wOiigyoXInB4/u56CpHdDQ4nuCwIGNTGhfjr5XfwBUzY14DEZkUcOhnSNRFCgpeQln9EFMI0JmsK3fHsci9yY97Y7QPIofx+n8m4lsWIyBP/xpEEMvzPynVXH/F8u4VPQ9okFWaPmiGH+T62e97t9BEASenJLHoIxInL4g13+2C5vTd/oXnkF+V9twAwYMoF+/frz99tsAyLJMcnIyd9xxBw8//PA/fW1aWhp33303d9999y92zGgqIewAAL1sSURBVL/SuQ3320AJBPC9cSla+yoCioZFtj/S4bPT0raFfoEqDhr68PxVtyFLEhHNdbxmfRCVyoW2I5W9Zb1Zg0yEA3anhAzlRjtcnNeUwUaG0NLSwpfzvsXWWH/aeYiCwIT8bEblZqBSIGjqhU4zAkGQaDGJeJJUqJXFOGLWMzqyA92Pydu+Wj0Js/1oqkWksDCibruN8EsuRvgZPb5k2U9D4xKqqj7Gbi88+XhY2ACSk68iKnJMZy7Sb4jjuxtYM7uIYEAmNt3C5Fu7ozefnVLpvyK7/Ni+PornaChKEBhi5vXAbNSFaowBIwoKQ4YPYezIsSdbpjT7Apy39zgn3F5yjDoW9c7EopKQyzYhfDaFw84JbOy4CYAupgOcY3oKhzqDsuZHWVv3JQHFj6OrRObwJt5Q30+FkIFG9nHX97NotAnE+BtBEOky1ENKywPc1juCMlNoWyu6qZZ+e19iV24ooqsEFaqfLqG98hTJ3oLAjTfcgDMqj83BrqHHFIW31r9O1/YaCnNz8UbXk3SOjvBtl5Cm/yMW0c1id39elC9lme5RzJKHEter6MQcOvxO9kbuJX7gRygBkdjZeYSn3A9AlPaP6IQ9PKL5AyP6rUEtBTiincj7JRsAsBw7n5rgANSCTFjm+3ikcgCGaWWmx3horDXiKr2YwV/OwS9IPDHsVp5LzyesXUQlVBGjeYDghW9x/2Yb4Q3VSHoDPrcbCYU440Ey+xxAkkz07T0f1xwHvvIO1Ikmom8uYP/ha2lt3YrRmEW/vguQpH+/wEDxyzR9EDLEVEXpibm1B6LhP+8teSpanT6mztxMlc3NwIxQhZz6Z4q7n8t/3Tacz+djz549jB079uRjoigyduxYtm3bdlaP6fV66ejo+MlfJ78uSlDGO/MGtPZVBBWJZa0P0u7voKVtC/19VewxD+D5q29HliTimyt4I/weVCoXBlsuqyvyOGRXowq2nRRKV7c6GNHUh40M4ejRo7z3wYc/SyhZdXpuHDGAMXld0Agm5Khr0WtHI4sSJ9I0mOOOUxP2MHldlzEpvgmdxovPrsH6nprUZwNoG3VE3nADXVatJOLKK04rlPz+dioq3mPrtpEcOXIfdnshoqglIf5i+vdfQp/eXxITPaFTKP3GyOwby3l390RrUNFQ1sF3r+yho9l9+hf+gogGNZFX5WMeHYqCqLbYeaztOgom5lNlqkJAYOvGrbw3+z2czlCftyiNirk9uxCrUVHs9HDd4TJ8soyYPgzlnBfpZlhOX+PXAJxw9GC38yGMvlKiIg8yMHoKAKaSINu39uPG+tn0UnbjEzW8Ou0OpP5mmjRxoMic2KSjXvUVs3a5SXWGIkNN0Qk0xF5E75pQqxRBEgi/7J/4VykKS1etoovKRi6hPB8EgScHXYuMQJfSUjTNcdTvcNAyZA4ljmsJKgLn6ndymX8d9wdCoi9D/0f8ih+L2khUVSyOunwElUzdOY04a9YA0Co8iqwYeCC4gIVHJwOQ613FXd1CPfXaMxcSJpTiV0QCldchB0Of601ekRKXREyCk53dV9AwZChqJcj9Oz/lruZKZLOKgJJMi/8RVAvv4PaxPTCHRxB0uzD+2Keu3p5Pc0U0waCDQ4W3YL0oCdGgwl/joGN5Jfn5r6HRROF0HuN4yfP/0TUjqEUir8xDCtMSaHbT8mUxSvAUbWh+AcKNGj6c0Q+jRmJ7qY01RQ1nbKzT8bsRS83NzQSDQWJjf+r3EhsbS3396X/EfsljvvDCC1it1pN/ycnJ/9b4nfwyKIqC9/370LXOR1EEVrffQ5M3iK11KwO8VeyIGMzLV96MLIqktpTwcsT9iKIfY0Nvvq5PwF4bTmVYMceidyEqCo81OghrHct+OYc1a9cyd+5c/N5TOwf/la4xUdw9fgjZURH4rMORwm5Ep4TTaJXwZfiwh7+CkDGTGSl1RBkdBP0iph+0pD6qYDwgYJ00iS7LlhJz371I/8D75v/idtdw9Nif2LJ1KCUnXsbrrUejiSYj416GDN5Mbu4LnaX/v3Hiu4Yx/cE+mCN0tDe6mf/KHmy1zrM6B0EUsI5PI+KyHFCJeI+2MWFjN+6efgcnkk4QEAI0VDbw2tuvndyWS9Zp+KJ7BkZJZFOrg3uLq1AUBbH/Tcjdp9PfNJcc/VoAdtkHcsz9ADG+WSRY4+gRMRKAlOITFB3twcg9hxju3oAiiHzc7RpaLkrAZQoHZIoONtHiXcm7u9wkuENNqPf0GIKpqYDs9lClmynXhKXvqaMB1WVlHDl2jH7aWuKUNgBadVa+yBmPzutF6/MRvsOArcROy7CNHOw4B4CbrEswOdws9A9GFJyEqT4AINfSBdu2XGS/FjGhmWPaRnwthwl6tLRJ9xARdDGmYzt7GnogECDDsYQH+tyNICgEMj9HRyutHjXW5vv5657O144IfDJMM9Xy3Ng2vKmpRHk6uH7HPO4O1iBoRLxyD9o8V9F10dVced541Go1nvY2VGYLBp2Omq1x+F0aXK4TFNc8StiFmcCP+UslAnm5rwJQUzOHxsbl/9E1I5k1RF6VH5pXSRtti0v/o+Odjuw4M69f2otXL+rBOQVnz9z1/+d3I5Z+SzzyyCO0t7ef/Kuqqvq1p/Q/i6IoeGY/g67hYwDWd9xMtUdLa9tmBniq2BQznFevuAlFFMm2HeG5iIcQBRlT9VA+sFkxlsaxM30rtdYSDLLMy3V+6hzTOOaJYM6XX7F506afNY8xuV24cXh/zMZ4glE3YRH7EpQEGlLUKHHLqEt7kOkZRXQLCyUqqvfrSHhCwrJMQZ/fg9QvvyTxL385ramkw3GUwsL72LZ9FNXVnxIMujAas8jNfYkhgzeQnnYbGs3pO3538tsgPM7IBQ/0ITzeiLPdx/w/76Gh/OxHqg09oom5uTuiWUOgwUXklx5eG/Mijl4OOtQdBNwBPv7kY7Zt34aiKHQzG/gwPw1JgG8bWvlLeQMIAuKUmShxuYyyzCRRewgZ2GgfTLXvPsLFj8m29CfNVIAAxJUcwtluInenjTF1IQ+zH8wXcPiyHqjjRUBhf/k+7K17eG+nF6s/AILAwkkzKDhiJM4Vys+JuyQOQXXqZO/Fm7agBP2M0JVhUEI3PV9lj+FwfAYlmZns79ePqHkq3O2tNAyqotBegEqQeTTiK75wjKY2EEGYaikypUiCRDepO7Vb+lC+6lEqVRdyqK4ef8txXK5BeIK9uMhXyOHyKFrc4SiBarL9h7i/7/0Ikhsx4xMkvNTaLFjtlwLQ5HWyxBWPRoQrwvfx8PQuBHVaejaX0G33en5IDW2bOYMTcbT2Jmbt3Uw9dxIAAXsHk6dMJdwcT+nyBBRZorl5NQ2GrzENDX2XtC4sIcI6hNSUUKSsqPgRPJ7a/+h60cQbibgkdDPm3FaHc+e/F7D4uYzLi+XCPr9uc+7fjViKiopCkiQaGn4ahmtoaDhl8vaZOqZWq8Visfzkr5NfB8/cmegr/gzAdvsfOOGOoq11IwNcVaxLGM0bl4UM2Hq27uOJ8CcQAGP5OF51q4gvSWBl3ira9I3EBAK8VK1hj2c6RxvcvPf+B5SeKPknI4fQq9VcO7Qv5+bn4I0ah9Z8FTrFRHOYRCC1nsrkB8nLXsSkSCdqKYjSoCHqZRXR78todbEkvPwSaXO/wtC71z8dp61tNwcO3MCOnZOob1iIogQJDx9Mzx6zGdB/KQnxFyKKZ65/UydnDlO4lgvu601MmgWvM8D3r++jrqTtrM9Dk2Qm5raeqOMMyHY/3o/LeS7zcXIm5VBtrAYFVixfwdzv5uL3+xkVaeGlrFBU/ZXyehY2tIJaj3jJVwg6A5Otz2FW1eNTYF3HANp9g1GL5fSNnECENh4hEMBYXYIQlMk8ZmNC4WZERWaDNJaVUyZi6eoEFHY1rMbbfJiPtrtRyTJBlZo5k29jYpseo8+KJlpD5PhTmyt6aqqYV9uMHj8jtGUIigyCyAP9b6beFInLaOREfgGW93QommYquitUeWOJFOw8aZnDQ94bkRFI0LyArARRqeNoP+4m2HQcFJnqpBEcrK8g0FZBq/AwsmDhtnw1Hx4bj6wIOFp/YIQ1jDt63YGkbUSd+C0ANTU9UXmzAdjQ2s4xn4EkjULPmNW8d8koAC49toY1m9ZS3i1kgdAeuB5PmZtu1XPo168fAIuXLmXoVTfiaTHSvC+Um1Va+hqB/jXoe0YTdU3IeTsj4x4slp4EAh0UHrkPRfnPCgv0+ZFYxoWS7lu/L8Fb8d+djvK7EUsajYY+ffqwZs2ak4/JssyaNWsYNGjQb+aYnZw93N/PQVf8BAD7nVM46OxCe+t6BriqWJs8hpkXXwXAwLYd3B/2bMgxuGQqLwSCZByPZUm3xXjUDnK8Ph6vjmJDYAq7DxXz4Ucf0d52+tLYxHALd48bSnZaN4LRNxGudCegEmhPEmhKfg8551muTGwkWucl6BWxfqkm4U8K2hptKC9p2VKsU6ciiP/4Y6goCjbbFvbsvZw9ey+huWUtIBATPZF+fRfQu9fnREYOO+MOt52ceXQmNefd3ZPErDD8niCL3jpAzdEzW579j1CFaYm+uQfazDAUv0zr50X8QT6PGZfO4GjUUWRkjh4+yqwPZ9HR0cEVCZHcnByqSruruJI97U6ISEc4/33UopcLwx9GLTpxyrDJ3gtZ8SOJKobETEMvmVC5naibakBRSG9u5ryda1EF/OwWBzF39NVYczoAhR1NSxAbi3jnQD0oCnaTlTmpM/iDuwtiUCL63Ggk86lbyVQs/IYig5lY0UFfdXXoQUFkiT8XRYHK1FQ8liikty2o4xspjAnHHtTTXSrjPPUWPg9ORSXWEaF+lAOuZtymATicBzH6Qlta1YkjOFR9FF+znfbM+fSf8jZ5BSqWlI8A4EjR4/yh62Ru6HYDassh1BGhSJqjfAZKMHSTs8IVSgcZYw5QnraK7WNCTXnv2zuXB/ccwpcbTshS4CECO35gQqyNhIQE3G43G3btYcq9j3DB7d+SEH8xoFBYfDeG88xo4o0AiKKa/Ly/IElG2tp2UlHx/n98vZhHJaMviISgQsvnRwi2n9pZ/ffO70YsAdx777188MEHfPrppxQVFXHLLbfgdDq55pprAJgxYwaPPPLIyef7fD7279/P/v378fl81NTUsH//fkpKSn72MTv5beJevQTt3rsRBJli90h22ntjb13HAGc1a1LG8s5FMwAY1rGF260vIygCuuLpPK+4Sa6wsqxgMQHJzxCnm6trM1kXHMXylatYsGABwcDpbQEGpCdz58jBaNOnYTD8AZ1spNUq4UotpD77TiZl7aK32YuigH6XlsTHJYybBcwjRpHxwyJi7rsX0Wj8h8dWFIXm5nXs3nMR+/bPoK1tB4KgJiH+YgYNXEW3bm9jsXT/Rdezk18fjU7F5Nt7kJwbTsAbZPHbv45gEnUqoq7Ox9ArBmRo/eYYvUrTeXHGi5RklOAVvdgabLw9622qq6t5oksC50RZ8MoK1xwuo87rg5zJMOh2DFI750Y8AUKAlqDCblcGKHYMKgv9UvohIqJrbUSyNQEQ63Fw1dqF6D1uCsUefDbsZiw5dkBhe9MPxJTVcWN1SOzUxKfxrWEsV3rPQ9JLxEw9tV+Yt9XGztL92INB8qQGUoWQ6asTHXv8CQDs6dOHCJuM7+MwVN2b2R1MQlYELtRsosJrplxOxaQqZIz1LQyqngS0qbS4ion0fA9AZdIoCiv3Y99ei6+8g+dHPsxRHZxoS0EruVi19VZu73kbl+dcjjZmOZK+FL8sIdbciaKINHs9hEVNQhTgDxEe3ul3mNYu6Vh9Lu7Z8Tm31TcgJZlQMNPsfwJx6WNcNCIfrVZLdXU15W0ONHoDWVlPYTZ3IxBo4/Dh25Hlv5XcGwypZGU9CUBp2et0dBz8j64VQRQIvyg7FI10+GmZU4QSOHMJ378mvyuxdMkll/Dqq6/y5JNP0rNnT/bv38/y5ctPJmhXVlZSV/c3G/za2lp69epFr169qKur49VXX6VXr15cf/31P/uYnfz28GzdgmbTDYiCjzJPXza1j6KjdS39HdWsThvLrAtDFShjHOu5yfwXBFlCKrqYl3ET2SiwIWsFiqBwfoebkY0D2ODKY86cOWzfvv20Y0uiyIV9unH+kNGIcbcQFSggKAk44wNUZj1PfMHbnBfpQivJiI1qol9REf6JgjYyleT33iX53Vlo0tL+4bEVRaGpaTW7dk/jwMHr6ejYhyhqSUqaweBBa8nNfQGDIf2XXMpOfmOoNRKTbu1OSn4kAb/M4pkHqD3edtbnIUgi4RdlYRoeyhNpX1ZO2FaZWRfPorVnKx3qDnxuHx99/BHFR44wMzeVXKOORl+Aqw+V4Q7KMOaPKAm9SVCVMSBsFqBQ5VM47jWgEsrpqfkz3ZJC7XoMjVVIztA2jlqr5q6Fn2JyOTgm5fHJgNswZzpRUNjW+D3n7m6mizPk3n20SzdWqpMYbT+P8FHhqKNPXcZumzuXI70sCF4XQzQVmAjlLx0OJtAYNOLXaNg5oD+p+514l5mRx7ayrzW0zfSgYR5vOafgV1QkaQ/RXbcSwqehoKXGfYKEjgUAlCWNobh0B81z9qJHx8zJj/FVcxyegAazeJhVu97kof4PMbXLZHRJXyJIdjqckWiaZ9Dua+eTBhcabRzRaoXJ4W08OtFL0GCgoKWM/lvm85ZVRjSrCSiptHpuJWzpzZw3cQwAW7Zs4dixY0iSlm4Fb6NSWemwH+R4yYs/WYf4uOnExExCUQJUVn38H18rolYi8so8BJ0KX6X9jCd8/1r8rnyWfqt0+iydPTz7D6NaMAWVYKPWl8PSlstpa1tFP0cNazLG8f4FlwMwwbWaGfpZCEE1waLpfCi7CPiaORa7H4CbWjyo28ewv1Fg7ty5tLW1nXZsq17H1YP7YM25gGh/DwRBoMMs4o3ZQiDzc0aY/YgCKH4B6/cqjOtA1OiIvOlGIq+7DlH7j3OKFEWhpWU9pWVvYLcfAkAU9SQl/YGU5OvRak9tvtfJfycBf5Clsw5RdcSGSitx3l09icuw/ipzsW+opn1ZGQDGgfEYz03hpe0vUb2lmnh3qDppzJgxpPTpx8S9x7H5g0yPDeft3BSE1nKU94YheO3Md95CnX08oDDQqCJZc4QI1bN83ziF8rZqBEmDPT0HRa1BQCa98CjPzridDpOZ9NZSrtr1Ns5SA5Kgom/qOVw0fgDKj01dB9fsxtW+hMLDu6l+t/qU53LljAgMU28ifo9Ckyqcpd5cZEFEh4/p2kOoBZmee/eRUVJCzc0K6hwfGSslMkz1lMpx7PCP5DLtXHyylq9bXqfIqCOy4mMEoIu/K9UxUwHIrV5Jr5uuJnxKDt+XfM/CjXO4Im0P/qCK5Ky5ZCUXcO+6e1h9tAp35fWAiDlxAVh28Hi36US1fQ7AO41aIo5kcO+8E8gIPDbkRq6/aDI9NzVAUMGi+gRLrp2lYVezc9cuDAYDN998MxaLhebmtRw4eAMABQVvERsz6eQ6+P3t1NR8RUrKdYjiL+OT5C620fJpISgQfmEWxr6/j4DDf53PUied+EoqkBZcgkqw0eJPZlnLpbS1raKvo4Z16WNOCqVJrhUhoRTQ4TpyIV+6XHRQwbHY/UiKwqMNQbztU1lTZOOjjz76WUKpS0wkd0yeTHzOfcQEeiKLAu4YL1Xdn6Sg+2xGWUJCSVeoJe5JFaa1P265Lf6B6Ftv/YdCKSSSNrB7z3QOHLweu/0QkmQgNeUmhgzeQGbXRzqF0v8oKrXEpJu7kZTzty25pqpfp+WDeUQSYed3BQGc2+twLCjnsUGPMWjSIEosoZSGNWvWsG/1ct7LTUES4LuGVj6sbg7lL015A4DzDO8i6Y8DArudAVoC+dgCjzM5ejlWrRUl6MNQUwaKjIJIbbdkXn7recI62ikLz+Czbnegj4OgEmBPxUpm7luIqIS2zLcl9KZr/BVE9Y5Bl3xq08XvvmvlHNWXqLtWEcXf8pf8ssTOQBoAB3r0wG00EvORhNwuUtVPodVvIkOsxyyVUi/noRG9jLa+TWKHhZrUcShAlbaEpNqVABQljuXQx58j+/yc1/U84rp05aAtDbUUYN+he3B6fLwy4lX6JBvRRIccvl21Uwh6o3m58AdMUSFPqslhAbZ3KWfjwC6IKNy/5yueXrMf38hQpVtHYAae4gbGGwuJi4vD5XKxcOFCZFkmKmr03yrgih7B5ao4uQ5qtZW0tJt/MaEEoM+JwDImZOnQurAEX+2pe/f9HukUS538LvDXNsMXF6EWqrEHo/ih+Wpa29bSx1HLxtRRvDv9CgCmuJfyB/37iH4DbUcuYEmbg3JzMdXhx9HLMn+qVXPCcR6L1u/mm2++we/3n3bsEVnpXDL9DmIjbsYUsOIyCDRnbETudxfTE2sIV8sIdomId1REzFTQGRNJemdmaMvtFB5cra072LP3YvYfuJaOjgOIop6UlBsYPGg9Xbs+iEZz6uqeTv43UGkkJt3SnfguVryuAD+8uZ/W+rPrw/RXTAPiibgkG0Rw7Wmg9ZtjXJV3FVdecCWHIw+joLB/737Kln/PY2mhiMJTJ2rY2uqAgunQ43IkQeEiy/ME1K0EENjp9OGU87HL9zEtYS9qUY3otqNtrAHAI5uoHRrPn197BmtHO6Xx6czpfR16s4WA4qNmzxFern0Og+JEEUS+Nycx0fQUsdNPHdFwORW+/badAWnbSI7fSa5UT5LYSlCUsDkkGgJmFElky+DB6HxBTK8Z8YcFOWo2EVBEzlXt5Gt/LkFFS6KmkHz9SuI93WiJzMArg820j/jazSCIHI4ewc773kBRFJ4Y/DibFTN2n4F4QxWfrfwTWknLzPGz6Jp4FMl4nKCigtpr8AZkXiuvICFxBmLyE4DA+0PLaUmIItLTwW07v+KWg5Voe8cAEjb/g7DuAy4clIFaraa0tJStW7cCkJFxL1ZrX4JBB4cL7/pJ/tKZwDw6BV12OARkbHOKkD2nz//8vdApljr5zROwOQh+eBkajuKRTSxqup7mtg30ctSyOWXEyWTuKd6lXKr7CMlnpqFoKhub2jkYt59mUzXhwSBPVVvZbp/AnG8WsnHjxtOOq5ZELhs8gLETnidBHoYgiHgivdT0fpw+Pb+gjzGIooBpg4bYJ0V0RWoirruWjMU/YB49+h8es6PjIPv2X83efZfT3r4XUdSSknwdQwavJ7Prw50iqZOfoNZKTL69B9EpZtx2P4ve3I+j9fQGqWcCQ88YIi7LBVHAvb8J29fFjE8ezyMXP8KB+AMEhSClx0th5UKmRpoJKnBjYTn1Xj9MehnC04gU2hgS9g6y5MYhi+xz+fAEe6CINzIuNiSSNLYGJEc7oNAop9Ax2Mrrrz1DWEc7J1LSmTfoAozaKHyym44VKv7suJVwpQW/SstXkREMzroUQ1fDKc9j3rdOOjqCpGUfp2vCZoaqyzDgo0UfRnO1QiAAHeFhFObmEm7zIM0Kw9k/wKH20I3PTZpFLPCHuj4MNn9KTKAZb9Q0AhoDtqAaWbOGmMY9KKKK/e48Cl+ajUFt4NnRLzC/JWQBkG2az2cbV2HVWvl4ymziEpYgSHZcngiUpvMpbC1hmcPM1flXMjTtInxqgecnOgmq1QxoKCJzxwpmqnyoE03IWLH5HiRy5d2cM2ooAGvXrqWmpgZRVFGQ/xoqVRh2+yFKTrxyBq+QUMJ3xCXZIYfvFg+t3xzjvyXTp1MsdfKbJujw4Zt1HTp5J35Fww/NN1Lfuo3ujjp2JA09aQ9wrm8Jl2g+QvKEUVE8iZ31dram7aJD10KiL8AD1UmsaO7HRx9/QnFx8WnHDTPouer8KxnQ7WnCfTF4NQJNGVvQDL6LKQn1mCQFVZOa6JdVWL4GQ04P0r/7ltgHHkA0/P0XtdNZwsFDt7Jr9/nYbJsQBBWJiVcweNA6MjMfRaOJ+sXXrpP/DrR6FVPu6EFYrAGHzcuiNw/gcZ4+InomMHSLIvKKXJAE3Aebsc07Su/o3rx00UscSj2ET/TRWNtA5sYlZOs1NPsD3FRYjl9tggs+RBFE+kq7iQhbAUKQOr9IideHV+5LtPF8uoWFhKC+tgzhx6jvMW0egbQIXnjzJcwOO8UZXVkwdBIGdRhun5uGRak8772XSKUJt9rI3i7nkjKlyynPwe/x89zXaQAkZJZTkL6RoepSUBR2xeViPNKIFAhwuKAbHRYzccUuWGrENtFBRXs0OsFPD9U+aoOZaEQPIyyzyGhU2N9zBiBQIZmxBDcQ3lpMUKVj67EIKr5cQm5kLmN7XMfetmhUogxtz7CjtIE4YxwfT3sbc3zIf8lp64O/I5/Zh2ezv3E/bw57hChLd6pi/Hw6OlRBe/3hH1izZhdH+kUh6CR8Sg7tbZPoXfI6ebm5yLLM/Pnz8fl86HQJ5OW+BEBV1cc0N689Q1dHCNGgJvIPP14jhS04Ntec0fHOFp1iqZPfLLIviOed+zH4lyMrIstbrqOyZS95jnr2JA7mzUtD9g7n+pZwqfpj1O5Iio+PY199G+uytuDWOMjx+Lm+NpfvShP48MMPaWxsPO24XWKiuOYPz9EzcgYq1Hisfhr7PUW/3rPJ0wdRgmD+QUX0n0DXYiH2ySdI+/JLdDl/317E462nqOgRtu+YSFPTCkAgLu58Bg1cRU7202i1v48kyE5+XfRmDVPu7IHRqqG1zsmSmQcJ+P4zU8F/ey55kaEfQ1HAfaCJ1m+OkRWWxdvT3+Zo16O4JTfOZhtD96zDJArsaHfyfGktJPdDGHovAOerv8ZnDjV8PuIRaAwE8ASH0jOyH1FaEIIBdLVloCgoikRRXgJ6lYX735+FyenkQGYWy4dfgFYy4rTLNC6P5rHgHzEpHbSpTVjGvoIh+9TRpUPzt/F+6xUoikB8SinDs1eQrwq5UM9NHUH+9oNogn6WDx+LLAjELgkglKko76nQ4dOTKdayV45AVlSk6fbSVbeZfmUGDvYM9YU7opdIqfwKk70Sv8bM6hVOWrbu5Yr8K6ky5dHh15FkruX7zc/R4vCSHZnNG+NuRBuxHgBf/YUE/WYe2/wY/qCfuRPeQFJFsqKXnUOZYWjlAA/u/pIHlx9GmhKqkHUEz8N93Mu5MTWYzWZaWlpYuTKUQxUdPZakpNCN5ZGih/B6m375C+P/oEk2E3ZuBgjAf0dgqVMsdfLbRAnKON99EaPrUwDWt/2BY03FZDsbOBTXjzcuuxaASf5lXKr+GI0rhv0nRnOkro112VsJSD4GOv2cWzeAT3f7+fzzz3G5XKcdd0BeATdOe58uYg8CErSm7EM//HbGJVajE0FTpSbmWTXmZSKW0ePIWLKEiMsvR5B+aogXCNgpOfEq27aNobZuHiATFTWWAf2Xkp/3Knp9yi++Zp38d2OJ1DPlzp5o9CrqS9tZPfsIivzr/BLp8yKJvDwnlMO0r5G2BSUkmhJ5d9q7lGWX4VA5UDc1MfLYXgBmVTWxorkdRjwEcd0w4GGS4VP8xgpAYJ/TiVuR8cmTGB6XjEoQULnsaFrqEQQZlyuMkvFRZLY7mP7NQvRuNzsyM9gx7FJUggZHvY729XruUl5GUgJU6GPpcvGlp5y/z+ej9I0dlO6/FkUWiE84wUU58wkXXLRrTcxNGsbQjZsQdSKbe/VDUhTCZ+kIhsGuQDKyAueqd7A60BeA4ZaPsATtRHrycMTmIitBDmXGk3t4Fjp3Mx59FEveOYi3oobHh77IMocJgBEJy/jTgkXIssKo7PHc2zMRUVeNHNTjr7uMio4q3tj7BrGGKF4e8WdkQcXbE+y4jDq6ttcwec9iHjpQhWlEyOKh1X8nmg0fMW1oHgC7d+/m2LFjAHTt8hAmUw5+v40jRQ+gKGfWD8k4MJ7Yu3tjHv7rtin5pegUS5385lAUBcenn2BqCTV/3Nkxlf31dXR1NnA8qgevXR5qYXKOfzmXqz5E44xjZ+lwihuaWZezBVkMMqEjSI+6EcxafpTFixcjy//8i0ESRSaPvZArhr6OUbDiM8g0932F3v3fIVsvQ0DA8o1E5Iugk6NJfPMNkt56C3XsT43wZNlHZdUnbN02ioqKWciyB6u1N316f02P7u9hMmWdmUXr5H+CyEQTk27uhqgSOLG3iS3zT9+S50yhL4gi4tKcUJXcrnral5QRpY/ivanvUZtfS5umjaSaCnrVhWwH7iqqpDoAnP8+iqQhm1KSTStRaRvxKAb2u+uRFQW1eDkDY/QAaJpqEH68yWm2R3Fs+BCmFu9mwIqtaHw+VuWkc3zAxQiIuEr0BHbCNYScqRtG3IYxK+yU8z+yYy3b2rKp23kdiiyQnHiUP3RdgITMzrg89hoyGLZxE7XpKdRERKLz+tG/FgbjbBypC+Uv9VcdpF6OQy+2M9j8KV0aAuzMPw+1NgKX18WxglR6HJyJyu/Ebkrhh8eXEh7Qc3GfZzngMKASZbqbZvLuhpCguWn83YyLLwTBh8+Zjt82jC+Lv2RX/S7GJ/XhvLy7aDULzJwQSpy+8Pg6Grft4nuTgibVgoKRFu99ZGx9jIH9egPw/fff4/F4kCQt+fmvI4pabLZNVFXN/oWviJ8iCALq2H9svPt7pFMsdfKbw/ndDxgrHkYQZI44h7Ol1k2aq46qsFxeuTLUFHdcYBVXqD5A60hgS9kQjtga2Jy1AwS4qBXCq0fxxty17Nix47TjmXQ6rr3gSSZ2uQUEAUdsOfrRtzMy9RhaETTlamKeUWFaJxF+4cV0WbIEy/jxPzmGoig0Nq1g+45zOH78Wfz+VgyGLnTv9i59es8jLKzvmVquTv7HSMwOZ8xVuQAcWF3F4Y2/Xk6IoXs04dN/7HC/uQb7mkrCdeG8O/ldWvJbsGls9D1+kBhHG22BILcUVuCPzkUY8RAAk4Q1OM2HUAluGn3RnNA2A5Cgv50Ms4AA6GvKUCmhKq4WfSsHu1/LVTtXULB2L1IwwLc9c2judi4A8n6g2M8EZQmCKGK65q5Tzt3l89O8+BkOeAZTu+NaFBl6pe9gfNwWAN7vNhXFEWDUpo0sHzIOvyAQVu9C/ZWVpnEumu1mwgQXDUpI2OUZ1pCgPszow35WjrwEUVDREHDRECPR/fB7CLKfJlMmK+6bw5iUMTgjJuAKqEizVnH42LvsqQi5tb999SukWtYD4G0cT9ATz5NbnsTld/Fs36uJjxzFrmxY312LhML9e7/iL0sO0jE+GVEv4VcyaW8ezRj3YpKTkxk/fjzaH61LTMZMMrs+BkDJiVdwOI7+MhfC/wCdYqmT3xTOVVvRHboNUfBR7unBqmoDic56Gk1def7q25BFkVHBdVwlvYvWnsT6isEcslezK30PANc1qbCXDuGNT775SVubUxEXFcO909+jR+Qw/Gqwdf+EgmHPkWnwg1/A+rVE5Cug16WQMns28c/8Cen/My7r6DjI3r2XcejQrbjdFWg0UeRkP8eA/kuJjh7X2butk1+crH5xDJgaylXZOPcYVUdsv9pcjH3jCJsScuLuWF2JY1stFo2FWRNn0V7QTqumibGFO9EE/OzqcPJqeT0MuRslvid6vExWLcUfsxuAI41htCeJCIJAQfitGFUg+r1I9bWoVF78fh3utKNU5Z7P6IO7GbhmJwAfD+mPPy1UCWbZ1IL1eAs5ymGU/uehzzp1XuDGo8WEVa2hoWEQtdv/gCLDBd2+JdVQi0el5c99LiW6sYlJu9fz9ZBzAIja6kao1FIUEYYvqKKHVMbeYKiB7Sjrexj8PrpUW+jIDT3/aJgROVBDXtFnAFRIWWx98nPu6f8U6zwRACSaarjzq720u/2otVq+uOQWDNpiQIWn9mKqOup5a99bCILAnLHPIWoS+WRMgBarhgRnC1ccWMR9y45gmR6KXDuC5xE4cIJr+1no0aPHT76DEhMvJypyNIrio7DwHmT5v7ef2y9Jp1jq5DeDa/dR1JuuRSV00OhLZ0lVEtHOejoMKTx77Z3IksSw4EauFWei60hhdUV/9rtKOZQUcr2+o8HAocPdmPnhZzQ1nT6BMS+zFw9M/ZgYUxJeSwfqUfczJGdrKDfpx2iScaOKyBlXkfH9QowDB/zk9R5PHYWF97Fr9/m0te9CFLWkpd3GoIFrSEy8FFFUnZF16qQTgD4T08geEIciKyz/4PCv5sEEYBqSiPlHQ8K2RSdwHWjCpDHxzsR3sHez46WCEUf3AfBmRQNbOtwI02ahiGqyKSVWKCbSGmo3tL24FbmrBb1komf0NAA0bc2IrW5AocOvwhWpIzw6BrHOybg1oUjQ6xPGI0TlIskyMVuqGHBgPVE0o73yvlPOu8Pt5VDh97glO/bqkVRvH4MoKNzS+wPUgp/DkRkszBpBfF09w8oOszM5EwEIn60ikO3mWGNIiOWL5XQoRsJU1fQ0LiKr1s+mlB5EWvNRUDiQnU64bT8plaGE6wNNCVR9sZFL+r7O2/UmPiyeTE2bh8cWHEJRFJIzcni+RxyC6ED2xuNtGscXRV+wr3Ef0TozLw1/FZdey8xJoe24c8u2ETiwn4/qWzENCfW6a/Xfg/zDM9BW+ZNzFgSBnNwXUKsjcDiPcqL0tf/8AvgfoFMsdfKbwFvSgLjoKjRiHR2BaBZWF2C21+JXx/L0dfcQUKkYGNzGjeJb6DtSWF7Vl73+4xyLK0alKNxfE86yrXHM/nwObrf7tOONH3Apt4x6BbVGjz1jPV3H3UdOWHsoN+m7UDTJYEondc4XxD7yyE/sAIJBD2Vlb7Ft+zjqGxYCEBc3jUEDV9Ml415UKtOZWqZOOjmJIAiMuiKH+C5WfO4AS2cdwuv+9UwALWNTMA6MBwVs847iKWnDqDYyc/xM2vPbsTgOkFNXjgLccrgMW0QWwrCQkJnEOupMTUSoyvAEDOyprsEbB0m6bNLCCgBQ15VjFEP94+zmEziNQxnvq2S/M4oJm7aDIPLG1IuQzXHovW40R3xcsv8TjIOGo05LOOW81xefwFD3DW0GAUfVJZRtzSHa0MKlOfMB+KzgXKrMMaTWVGFEoVmvR+MPYHwznIZxXhqbLGiFAO0/bsf1N83DLDUwfr+H70ZPxKyOwB30cTgzjYzS74lsOYQiSGzYqpByQs/ArpejT/waCLL4YB3f7gm5ip93/uVMMYS2yfy2YQRcqXxfEmrae05iAWOy7+Jwmsii/iIHp02kKDyFN9cep7lPFOp4Q8h/yXk9yvxb4P/L2dRqosjNeQGAysoPaW09fbrC/zqdYqmTXx1/g4PgF9egE4vwyEYW1gxA1VGLWgjnyRvvw69W0ze4i1vE19C3J7O8sh+7g0cojzqBNihzd2UCHy2Hhd8vOm0it1ql4trxjzO15w0EdEHkIS/Sr+8cjBKoa1REP6/CtE5N5DXXkb5wAYbevU++VlEUGhqXsn3HeErLXkeW3VitfejXdwH5eX9Gpzv1F3InnZwJJLXIOTd1wxSupa3BxcoPC5F/pQo5QRAIm9oFfbcoCCq0fH4Ef70Tk8bErAmzaM1tJbt6HVaXncaAzB0HjqMMvQclOgcjbkYFtxFM2oJKcFNbr6M1KZx2g5O+YRMwacIQgwGClU3otB0EZRXuqEM4I0ZxYf1+drXHMupQMV6Nhk+nzMCjNxPWYcNXrGF61Rz0l996ynk32p0cqS7G2LqPoCTgrriaqq3xjEjaQk7EUbwyvH3efQQEkfyqEsqi0vALAuZGJ7ql4RxMjMbtV5MsNlMlRyEJPrL0OzF6FeLKVbh7T0VEol4rUBVppeDwh5jsVQRVepZ9cozrYy8nPUZAEx2KOj21qJCKFieCIPDcrbeSwhFAxFN7Eb2i/hbd/ku/K7CEjeCLMSLPd9vLuX0jeWpKHl3iLURclougFvDKvXCURsOOWX933tHRY0mIvxizOa/TDPdn0CmWOvlVCdp9eN+/CwNbCCoqFtcNx9tajyVg4LGbHsCr0dI9eIA7xFcx/iiUtop7qQmvxBiUuam8C6/Mq2XTpk2nHctsCuOeqW/RO30UnshKEifcQ0HCCRQZzIslol4QMOrSSftyDrEPPoCo+1uPKbu9iL37Lufw4TvweGrQauPIz3+dPr2/xmLpfiaXqJNO/ikGi4aJN3dDUotUFraw84dfr+u7IApEXJyNJs2C4g3S/PFhAu1ezBozs86ZRUtmDf1K1iDKMmvsXj4sq0eY+jYKAj0pQvbI5EbOA2DXmnpU52TiVvkYHDUNAQG1vQ2pxQ3IuCU3suRDF59GTkc1rccF+tS20WyxsHLMZfglFeHtzcSsrmFUHz1S7Kn7LG44VkrQtQFZ8SJKkTSVTqRufzzX5H+FVvJy0CHx5YW3owD9qoo4Fh3qzRa+1YlK76G4LvTveKGFZ31XYONcFKBnuY8FMfFkxowAoCg5BqdWJL/sa7TeVtyaCFY9u5Gn+z2JNnITkqEUpy/IPV/vJxCUMUdE8do5/dDQgeKP4qGF2zjWGqqck0SRT0c/g6KKRQ60UGL4jCsGpoaq0GIMWH805mwPzMC3YjY0Fv3deWdlPUnfPt9iNHb9ZS6A/2I6xVInvxqyN4hz1jOYgiHn2lWNI2lubiHGq+KRmx/GpTeQKx/hHvFFjO1JLK/owwbNTprM9UQEFC4tzuJPn+yjsLDwtGMlxXTh4WnvkxSbiTfvW3qOeYYInQepRSL6FRXmpRIRV8wgfcF89D17nnyd39/B0WNPsXPXVNradiKKOtLT7mTQwNXExU7pTN7u5DdBTKqF0VeGTFH3LKugdP+ZNR38ZwhqkagZeahi9AQ7fLTMLkT2BrFqrbx7zrt0JOwlvzqUv/RMZTOH1KkI/a4HYDLrOGRW00W3BVkR2bWwipIRTszaKPLDhoSOX1NLuDFUAegML0bvTqZ7mIsqjUTPTTV06QhwNCmFHf0nAaDzexny3ToSL5x2yjmXNtmosrVAx3J8EujV/ag6kIa/2siFmaGtrwVKMusHh9oY5TdWU28yIwBhszXYRnporLGgEhQuVa3lA30NCZrQsUcf8DNvaAHx+i7IisyBrinoWstJbtyKGPTSIsXT8nYZV+Rdji5hHqLkYW9lGzPXnQCgz8iRXBceqhL02AZww8KXafe2A9DVHM4t/Z5FQaKqZSt/OTjn5DkZ+8Why4sA1Ni8d6F8eysEf+r8Lkl6RFHz77zN/3N0iqVOfhWUoILjww8wO98GYIttGCUNDlKcMg/f/Ch2o4mu8nHuE57D3J7A8orerDFspc3QTJxPYdS+TJ7+YD3V1dWnHatXxjDunfIWxkgjYSP/RI+CFQAYNopEPyNiDCST8umnxD36KKI+lHegKDK1td+wbfsYqqs/B2RiYiYxaOAqMjLuQpL0Z2xtOunk3yGrfxzdR4cMAFfPPkJbw+lNWM8UokFN1NUFiCY1/jontrnFKLJClD6Kdye+i6j5lqiOBnySimt2HaG9/z3IxlgiaaPAXYk+cQ0msYl2m4yhIYdvu6wjN2wg4Zo4BDmIt9iDXtdGEHBZS7F6shgjNTHPGsa968qI9Mps69GfQzk/WnYEYYa7GdFsOeWcNx4vRw6cQPLWIAgqTOpx1K81kitWkBlWgicgsKrbeA4WhHKoYhx2XGoVWq8X0+fhHEkMx+3V0FWsZbyykmXmFkQJIu0ynkYTmr5j0YoG7JLC0YQoUuo2YG0PRQFL2mMYc6AnKeEmNLELAHhr7XEOVrcBcOetV1HgC0WUKkuH8/CGPyL/aCp5W9ZA0n5055594DWKbCGRJQgC4RdkIholAkoq7TW9YdNfftH3+X+JTrHUyVlHURTscxdjbHwSQZA5bO/Fnho/mXYvD930KK0WK6lyBQ8KzxDWHseK8l6sMm7CoW0n3SOQsymdFz9cRltb22nHOqf3lVwz9klILCNr4n0kRFWDUyRipoqwuSoizruY9O+/xzig/8nXdHQcYveeiygqfhi/34bB0JVePT+jW8FbnXlJnfymGTy9K/Fdrfg9QZa/fwj/r9QSBUAVoSNyRh6oRDxFNtqXhswpE0wJvDPxbcKcH6AK+qk2hXHHmp34xz0PwBB2U+zLYlhY6EaqaEs9vXImsShiI/2jJyEgIjnaMbiaAAWPrhmEIPGKSJq/nZkqEy/ubEMbVFgxfCrVcWmIioLV4aN3779vSfRXDlbV0e7yINsXoygykjoZv7GAulXhTEtci0oIsK9Bxc7hYzjetSsioA0ECQKWqnZEu4a6ylAhyI3SYjqUSmq1obL8IUUe1gVd9EsKRbvKoyyoX3meLldOJNx2BIBdu+BBw22orQdQmQ8QkBXunXcAjz+I3mzhuQsHYAjaUfyRrN6v4+PDH5+c++xht4G+ABQfN6y9D18w5EslmTSEXxw6Z0dwGp51S6Hu4C/zBv+P0SmWOjnrOFftQXf0TiTBS6W7K2srdOS3OXnk+odpiogkQa7hYeEpIjoiWVXWm+WWDbg0TnJcKozL4nhnzlK83n/uDSKJKq4a/QiTBlyFqsdcuo/4Mxq1D02hSOzTEsb6aJJmvRPyTTKFXGb9/g6OHn2KXbvPp6NjP5JkpGvXRxjQfzEREUPOxtJ00sl/hCSJTLihAL1FQ0uNk41zj/2q89GmWIi4+Efvn801OHeF+q91CevCzHFPENkWqjhbE53Cawe9BDPGoCLIWP829keb6WEIbYFVLPJR18NPeVgL+WGDAfCWOIkJPx46tvUYRkcKvU0NVIs+TthkHtx0HEUUWXDO5dhNYQjAJIsZQfWPLT2CsszO6nqCOJHde1AAs2oYQVnCsc3C+KSNAKxoimTfkJ4cSshEUhQUIfQzGrHUTXVvA7YqA5Kg8IzqI3YYmghoZeKi1dxXHYE7ykNXcy8AVn/1Od2GR6Ht0xdr2wlkUU3p/CAXx05HF/c9KrWTkkYHr64IVcT1GDyYa2LaAPDbhvDaloVsrwvZLURpNDw15Flk0US78wRv7H3r5HnpsyMw9o8DoNV7B/L8uyHg+4/e1/9FOsVSJ2cV154yVJuuRyPaaPHH8kN5FN1a2nn8mgepjYkjWm7kEeEpouwW1pzow+KwNXhUHrrbNbR9rWfu96tOW/Fm1Jq589xX6d1tCPGj/0RWzjrkAFjnSkTOlLAOHEvGD4swjxoFhCJd9fWL2L5jHNU1nwMKsbFTGTRwNakp1yOK6rOwMp108stgtGoZf10+ggDFW+so3lb3q87H0D0ay9iQB1PrwhK85aF8mx7RPXhrwCQMriKCosSX1ngWMwpZ1NCFSuiw0CVqERGqStx2P/3KzuMvKV8QFt0VqyYaIRjAezSAVusgKPlwm2qIbU9iiMXNO1ov7hoDl69Yjkdn4Ptxl4AgYdHr6J0Ud8q5bj1egj8QJOjZArIHQTSg1g9FamklqdpDgqEeh99AqdVK4c33czgyHZUiExQEJEXG+I2FMosBj1dNlljDZNayyNxEpuBHI+mIaYgjrVsvzOoInPZW1n3yLuNv6EkwPAa9qxGPZCZzcT6xRhOmhJBQ/GhLGTtKWwC445YrGGJxAiKe5pE8tPEhGl2h5uDTE7twfe+QO/fnRz5ld/3uk+dlnZyBFKYmSCxttUNg+zu/+Pv8306nWOrkrOEts6F8fz06qQxX0Mz88jTyGtt4+sr7KEtMIUxp5VHhKeLsetad6Mv3EavxSX76tOoo+tDH6g3bTjtGjDWJ+8+fSVoPLTkTHyQ8ohoaRGJfUGHebSbhuedJeustVBEh51yn8wT79l9J4ZF78PmaMRgy6NXzcwryX0OrjTnNaJ108tskKTuc/j+6am/46uivalgJYB6d8n8sBYoItHkAGJ48jMcyDIhBN42WCD7xhXMsdgoAY5WNrDEMZqz1DUQC1Bzo4ELzDTyX/CG9oschICC3uIhSFQPgNlQjBrV0cTQTqZJZZpXIq01j6L7d1MUms35QyFF7eGbaKedpd3opVzWhiArqjlDURisV0GGJR11Zy0AqEJDZUJlLuvl73ht3PVWmaCRFQQYMbR24m+NoOBaKVt8qLcIiNxF7TTf8Kj8WTSS+Cgd9UycjIFC8bSO1R3cz5PpBqH0OpKCXlkAkd5bcyNIrX+GSvskoCjz43UFcvgA6k4l37j6fW0el0z1/FzaPjYc2PkRADvlr3ZN/LtO6TkNB4fEtj+PwOQAQtRIRl+QCCq7geNyWC3/pt/i/nk6x1MlZIdDixvfpnRjF3QQUNQsqc+ha18rLF99BcXpXjIqDh3maJIfE+hP9WBC+Gr8YpH+tgU1vNLHvwOHTjpGZ0IN7z3+TpCHbyRvxCpLag36dSPxzEpa4PqR/v5Cw6RcgCALBoJfS0tfZsfNcWlu3IYpaMjLu/XHLbfBZWJFOOjmz9D4nlaSccAI+mRUfFBL4FfOXBFEg/KIs1AlGZKefls+LUPyh+VyXex6TzKFCjV3puXzYmoVTG4MFJ6ltDdjC3fQxhipmNVtSkE06Pk1bTaYllLztPKAlMrwMBHBYjmPp6EJ/VRmlqiAHrBFM2eWhS1U5u7oPojy9G4nhVjKiI0451xU7DzL5scmMTNeD7MevElk+fAxCwE90dSX5utBcZ+3K576xm3hy0HW0aYwnf0wjdtmo7mqhrVqPWgjyR9Un3P/NFmKu7o6sBInXpBPQ+MkNGwjA6vfeJr6LmoSJg4loCX3PVVdH49hi47Fzc4m36qhocfHy8tB2nNWg5sEJebw2+iUMKgO7G3Yz68DffJQe6vcQiaZEahw1vLzr5ZOPa9OtmIYlIVm1CMZO49x/lU6x1MkZR3YHcLz3LGZ+AGBZTT4xVR28PeVG9uUUoFM8PMQzZDj9bDzej+8iVhIQZfqVGFn8Whml5RWnHWNA1gRunvYMmRNmkZ63HNkrEPGOivD5WqJvvZPUzz9DkxzqFN7auoOdu86lrPwtFMVHZOQIBg5YTnrabYii9oyuRSednC1EUWDsNXnozWpaahxs/e70vRLP6Hw0EpFX5CEaVPhrHLQuKEFRQgaa7/ebTqJQT1CUWJ3Tj++9ISExmD3sEYfTy/QtUaoTeF0BLqi/lXWWXdSnqzGqrAT9XszNdUiSj4DGjk/bQrI9gj5WH2v1fmzWbG5avBuLw86CMRfgMkcyPCv9lPOsqPCzftuzGK6Lo0vTRjRBGHMsikM5vVG3N9PfdRyj6KHBFcuKYg+XjSnl6YHX4hMlAATAsEpHZcCIV5boKZaS17qSZXV1iINC1XhxrmSSs7sTponB43aw+r23GXpxJt68wUQ3hmwV1n1Xhdzi4sXpIR+32VvLT27HAaRZ03hq8FMAfHDwA7bWbgXApDHx3NDnEBBYULKADVUbTr7GOj6N2Ht6o+sS9p+/of9jdIqlTs4oSlCm48NPsHpDe+SbmvKRyj18Nu4KtvTsh1rxcy8vkONqZ9vxgXwTuYqgAL0PGPnm9UIaf0aPt3P7XcPl519G/qQnscacgFKBhKdVmNtSSP3ic6JvvRVBpcLvb+NI0cPs3Xc5LlcpGk00BQVv0aP7R+j1KWd6KTrp5KxjtGoZe3UeAIc21FB+sPlXnY8qQkfE5TkggGtvI87toXwqURT5tt8wJMVHvTWS+fFjOE4aEjJ9O3ayNyKLMda3EAjiPq5ipG8q7yTMIyM1FAVuOaYlXQqdm9NchtYTSY69AkEtsF4fxB4+krvnzkcWJeZMvpKcxAQijD+1/xAMOtLGJXL7rDS6dtVyrPJZMm4KYnJUk9QkYosvwKvRoa8pp78Y6re2pHQ8sarlRHW380qfy08eS+dy4OhIojRbTwARLX6eXX4Cy7g8OsI6EAURfb2GvumTERAp2buD0r1bGXtNAe1hGZg7ygmIWpa8uIGh6ZFc2i90o/fw/EN4/H+LEE5Mn8hFWRehoPDopkdpdofWoE9sH2bkzQDgqW1PnfRlEtQioq6zZ+W/Q6dY6uSMoSgKHXNXYGp+ImQR0J6OrURhyaBprBo4HFEJciev0sNdx87jQ/gyYiVBAQo265k7cx8Oh+OfHl8SVcwY9TDnXZxI3thnkXQdGJZIxP9ZRcTIaaF2Jb16nUzg3rZ9PHV13wCQmHAZAwesJDZmUqexZCf/1aTkR9JjdOjHdu3nRbg6ft1KKF3XcKwTQ5GdtsWl+KrsAKQbjTyaEUq+3t4lj/nqCQQRyaKMWm8+Vk0lfY2hz2/B0bGoAjpe6jKPJEsOoOA45iMiaEIRgzjMZcTa0+ivqeaAJkidJKPSjuKaRd/RFhbFitEXMLRrGgDmyGjMtz9A1LzVmK4fw15zAuvsIUFRpfmG7O4LQJEZezCKHT0HIAZ8DHZsI15sxy9rmFM8natyP6UyJ4KvcsYAoADhRxqpr0pgffd4PpUn0hZU88icTWTePhq73IpWNKCVdSer+9Z88A6WSJmCqd0Rg17UfgdtfhPr3ljPo5NzibVoKWt28vrq4z9Zzwf7PUjXsK60eFp4fPPjJ/2Xbu91O+nWdJrdzTy/4/kz9n7+r9Apljo5YzjXHER39E5UgptqdxzFxUZ25I7ku9ETAbiRmfTzlLDv+FA+C1+JDGQsUzPv4z34fP/8C12vMXLLuc9z7owTpPf+kqBLIeovKiLWW0h85c8kvPQiksmEx1PLgYM3UHjkHvz+FozGTPr0/pqcnGdRq09tUNdJJ/9NDDw/g8hEI267n7WfF53c/vq1MA1LRF8QGUr4/qKIoDPkLH1LajIFRomApOHrnKHsoCcAQ11r2RI9gj6m7wjXVBFwKlzQeCuNKhvVQw2oBQ1OdzOJ9nZQwKtvJChAjiNIuklhpSGAT20kpzGN4Xt2cCSrJ2FjJnLN0L48OWYAceMmIhqMNEdcR5So5fs2NWs7Qs7Wzr4HSY/5EJUM3Wx5fDvxCqp6deF81U5EZA4157O/KYv7+n7Ewm6D2Z/Qhb/efoV/KSOoAkxPWwbA0lIvu6tbMF+YgV/2YQpYSE/rSZgmFq/byZoPZtH/3HTU3fsQ1bQfgKMlULe1nOemdQPgg02lHKpuP7mWOpWOV4a/gk7SsaV2C58Vfnby8eeGPIcoiCwtW8rqitVn+F3976ZTLHVyRnAfrEHYcCNasZE2v5WtRdEcT+7Nx+ddAsCVyseM9O3l0PGRfBy2EllRiJkLi77ed1prgAhTLHdf+jwTr/6eiJQ9yMcFEp9WYTX2JH3hAqznTkZRZKqr57B9x0RaWtYhCBoy0u+mf79FhIX1PRtL0EknvxlUaolx1+YjqUQqDrVwZHPtrzofQRAIvzALVZSeYLsX29dHUWQFURCYmZ+JCoXaiBQ+iJqEEz3R2Ai2afCoBcaY30QQFCyVSaS25TObBWT1HAlATcMRuvitANgtJZgdyXT3HqVJpbBHF6TD2oVL1x0luaGWNRMuITkzCwGFW5fMQe13oEgW9pkvJ08fy6J2iT2+UEWsdtQuolKWkNCiRysIfJQ8nRHGPXSTakkQ20i2KJjUNu7o/RHP9LuKZlMogVrrc6H7MInhXdeSpa1DQeD+r/cS1yeP5uRQioGh3Ui/lIkIiBzfvZXSPdsZe3UejUmDiKsL5SGt//oE/aJMTOmRQFBWeODbAwT/T8PkruFdebD/gwC8se8NilpCfeC6RXfjuoLrMKqNeIP/3Juuk39Op1jq5BfHV23H/82tGKViPEEdK4uSabBm8+Yl1wAwTfmGSb71FB8dy/thK5Fl0L/nZe2K01e8JUdl8eCNdzHysvdRW+rQLpZIfF1FzGXXkzbnCzTJybhcZezdezlHjz1JMOjAaunFgP4/kJ5+R2cfpE7+Z4lMNDHgvJCdwOZvS2hv+vXaoQCIOhWRV+QiqEW8x1qxbwxVmWUbddyRGtqOW5ndjxXCIAAG+TayM+58YtUl5JsWAzC+cgaqoIY5+TsIM8bjl73QXI1GURFUO3HqW+nl1NHDZGeLzo+bIHVJk3jw889RyTLfTboSWRAJttVzzqFDCEoAr6EvVequWFRGPm+w06oLuftHDVyINWMj5++IRPK18Gz2jdyoX8k49XEaSwqQJDMZ1nIuLZjPs4Ovxiv9aFZ5rA5xZwwzun+GhgA1bon31x2l5w3TqPCHbA8scgS51gEArHp/JgarQr+pmbRbu2BpLyUgaFj20kaenJRDXryFByZkI4k/TR+4MPNCxqSMISAHeGjTQ7gDbgBu7nEzC6YuYHLG5DP5dv7X0ymWOvlFCdp9uD5+HIu0HlkRWVGShl2VwkszbkERRcYoK7g4sJDSY+OZaV2B4lUIvtrO7h2nr9TJTxnAkw+Mo8+kjwgGPET9RUXMjhhSPviImPvvB5VIRcX77Ng5ibb2XUiSgazMJ+nT5+vOrtqddAL0HJNMQmYYAW+QNZ8Woci/7nacOs5I2NQuAHSsLD9pWHlXaizpeg1BVRhP542iiQgMeNDVltNsDicmdwE6sxvJqWNw9Xnstx0k/pIRADS2H6WLJ2Qk6zRVYPd0ZaTzCBqNwGpDEASR9qjp3Pn1bJoj41g3OJQWkLd7BXGNocTtMssMcvRaQOD5E8VYYqYDENfncyKSdnL5Pj97rN24ZcBDGCMjsdnUOBx/AESGJO4kMbuC7/oO46+rGzXHRbymgcnJawGYubGCZq9C0hV9afU2oFLUZMUNwKyOwO1oZ8OnH9JrXArmvEx0nmZUfhctTi1F8w6x5M6hjMmN/bu1FASBpwY9RYw+hrL2Mv68+88AaCQN8ab4X/y9+1+jUyx18ouh+GU63n+XMHk2AOsq03G54nnm2rsIqFQMULZwTfBTao6ew+uWFch2GftzTRQXnb4Z7qDcc3j66TjS+y7DXwbJT6mIjB1KxsIFmIYOweksYfeeiyk58RKy7CMiYhgD+i8jOfkqBEE6w2feSSe/DwRRYMxVuai1EnUl7Rxcd/rP3pnG0DcWQ68YkMH2ZTFBpx+dJPJSVigpvSFyGG+F9Qagn7yH/Sm3U5smEdXzfQBy64YQ5Ujiffe3ZPYYBoC9tpgwWY8iBnCayolzJNNfLKFYHaRGDODVR5Bda2DilnXsLRhIVWJXZDnAVRuXo3c1oIhG9pquocBoxC8HeKuqjsTEPyAIEN//E3IDxZwv6PGpNKzqEirt373LSWTkTQBcmr2A3XlZ7EkNNTZWB3wY34plUs4SuoZV4vQFeWpRIam9etGU1oRf9qH1aekXH+odV7hxDdVFhxlzVS4tCQNIqP1/7d13eBTV18Dx75Zseu+BNEIgofcYOoKA9KIgooACKiKogIIKIiBNkCI2BATEgqJIF6SX0HsgEFoggRQC6aTvzvtHfuY1Qhqkwvk8zz6amTuzZydL9uyde8/dD0DwiRQigm/ney1tTGyY1nIaAL+G/sq+m/tK9Hf1JJNkSZQIRVFI/GkTlknTATgVW4XEGCc+GTqGdGMT6iinGWn4irjQzsyx3I7+rp7YaVGEh+f/D/8fXQL789H0RKzdg9H8rcFzvg6XYe/gvnQJantbrt9YzNFj3f+3npsF/n6zaVB/OaamVUv7ZQtR6Vg5mNK8b05P6+F1V0mIKd/bcSqVCpte1XPGLyVlEv/HZRRFobWdJX2cbUGl4ge/l7igckGLniqhf2Jj0xsL13PYeV9Cpahod30A1xKukd3VC62RCYmZsVSNz5lin24WRYzizMtpZ3E107PdPBtFUbju3Y0hW/7CK+omG9v3JdPYDP3dSDqfOobaYCDKqCFu1vUw0Rhx6vZpziq1cLLshEptoMpT39H04Daq6owINrPG4FMTgKADJjg59UCjNvBWwxU4N0wkxjJncV3r8Fh0+x142f8nNCoD524lcTclg8BXBxJ87wAADho3fP63dtz2bxdhZW9E0+7eRLk2xyU6p6L49sWnSE/Jyvd6Nndrzkv+LwHwcdDHxKfHl84v7gkjyZIoESnbTmFy7V20qnTCkh24ddmFKa+OJdHSimrKFd4xfM69S52YbrGTrJtZ3JoaTmxswf+I1So1g3oM5O2Pz6EyicH6Ky1VDrritWIlDm+8wb20q5w48TxXr36GwfD/xSXd3J6TcgBCFKB2K7ec6t5ZhpzZceV8O05trMFugB9oVKSH3OXekZz6S5N93LDUqEk39uYD75wxPf7Z57h51ByVyhK7Ot+hNTZgn1yVWjEtOJVyjpYvvAxA1J2TVM22yKnsbXmNaynPMjBrM7EahVPGOcuDXPd6kQkrv0GvMWJTuz4AVA8+QrUbYQD8qRlMG6ucQrULTn6Bc61JWMVXR6XRU6XJN7wWHQLAD84+6ExNiY29Q2JCd8zNa2GivYdtqySS6mtQ/lfbyOG3FKqqbjOywXf89FIm9hbGmFpa4TugLTdSzqNCRV3H1phoLEiIjeLw2l9p8IwH1j6uZGnNMUuNJl2vY/uigwXOaHy70dtUs67G3fS7TDs8rdxnPz4OJFkSjyztzC1UQSMwUd/hboYFF8+6MuPld4ixd8RFiWScMgOuPM1Us92kh6ZzY0YYSUkFr1Wl05owdngfXh51mIz4dNynGuFs3wbvdX9i2qQRN258x9GjPUhKPotWa4m//2zq11uGiYncmxeiMCqVinYv+6H93+248/tvlXdI6KpY5Km/lBVzD2djI973zvk3fcZjNH+Z2QNQN/oP4u68jNY0Ead6OQvOto18ngl1JtLw2W5YOFUl05COdcxd1IqKLOMEEo0MNEozop7xbYJMssnEQIqVB1bp9oxc8wNXvfwIrtkYUOh1eD26zHRSVeaEWLyCh7GG5Kxk5hyfR8OOv6K5ZoNam4mX2VQGmt4h3UhHcPWcqf179x6imvdstFprkkyzqNH2JtXa3gKVCrVBj91cG+o7hhBxfTJZWQkA+LVozW2XGFKyEjBWTGjs0AGAk5vXk5WWytOD/Il3qodTzElUhmzCb+g5v+t6vtfSRGvCzFYz0aq0bL+xnU3XNpXCb+zJIsmSeCSZkSlk/P4WFpqLpOt1HD/lwfznR3Ktas7CuOOZhtnV5nxsvI/kkylcm3uVtLSCp7Bamtrw6Yet6dT/JFnHVfjMNMb1lbG4L/6WTJMkTpwcwJWrs/+3VElbAgK24uYqvUlCFIeVvSmBvXIGVx9ce5XkuPRyjggsWrhhUtMWshXiVoeiZBt4pYoDtS1MSFO0fFfnXTJRUY0I0s6fIzk5AEvPv7ByTkafAYfWXkWt0dDljTcBiEg6R/W0nHpq9yyvcfpeNyZm/0C2Bvaa5vQuXfZ9nranjtP2+CF2tuhCirkNqsQ4uh76CxSFk6pm1LCrjwrYen0rhxKDqef8AdlRTmiMU+mYMAEfzR1227pi5ORCVlYWu3cHU7v2PEDFLTdT4mtqsW+WczvO5HYytjsdycy8w5Urs4Gc5LXtsOEcjf8Lg2KgimkNatu0oKPHEHQ6UxzdLWnY0YMI96fxuLkTKHxGYy37WrxR/w0AZh6dScy9mNL4lT0xJFkSD02fkknK0inYaHZhUFQcOOXFkk6vctbXH1PlHuOZhlNYXSYZHSZ+XwLXvrxGdnbBi3k6WLsw77Oa1G15BaOfNPhsdsFr2Qrshw/jVuQvHDnajcTEE2g05vj7zaR+vaWYGLuU0SsW4vFSt00VXH2sycrQs/eX0HK/XfNP/SW1uZasqHskbr+BVq1ium/O+MPDpq340yEnwWvPAULO+ZOeYYFt3UWggtAj0URejse9dj3cGz+FgkJ2zGVMDFr02jTumcVyN6UDvTQHOKPTE682kG1kQaRrR15b/zN2yUlsbN8XBah+4QTVwi8BsFn7KgGWObfjZhyZgWnnrtS1+ZDMpCpodfF8rJqBBSn84VkblUrFzZs3MTVpirf3aAAuVrfAtPY1dK45PWOma5PQRqiIjPqN+PicsUi2Lm7U6NqakISDqFQq6ji0wnNQc9S6nAkqTbp6YeFmS4KlNzYJl9ErGrZ9cQRDAbdQh9YdSm372iRnJjPl0JRy//1WZpIsiYeiZBtIWLoCG/1SAA6d8+CXZv050KApRkomY5mFd7gHE1Wnidl8m+srrhf6D9XdxZNFX9rj5HkHp9laPLObU23tWtR1q3D69BBCL32MwZCGjU0AAc224ObWT3qThHgEKnXO7Ti1VsWN4LtcPVn4WoylTWOpw7ZPDQBS9t0k/WoCT9lY0MfZFgX4pd7n3FOpcOM21bMucCm0GzrrcJz8cgox7v3lEga9gY6Dh4FGS2x6ODWSTABItbjBlcymDNMfwlyTyd+mWdwzpFI1ch8ud+7w/qrFRLp4cqJezhIkPfdvwDgjjSSVNXHWA7DWwM2Umyw/vxy3rt1p2e4XjI1d0Wbd4BPNLO6Y6oh+qi1vvfUW5ubmeHu9hZ1dKwwaFedqWeL69B1Qq0FRcPrGAlU6XAydiP5/BSOb9OiLUTMb1C4moFdI2X8rdzyZ1khDu4F+JNrWwCY+FE12GrGxCic2XMr3WmrVWqa3nI6R2oj9t/az7sq6UvqtPf4kWRIPJXHNTqziJqNWGTh7zZkNnt3Z3KoDKsXASBZQL9KSSVmh3Pj1JhF/RBR6vlrVq7PoWyOMszKo9rGWql1H4LFsKXf0hzhytCtx8QdQq42p4TuJRg1/lJluQpQQWxdzGnfyBGD/r5fISM1/plVZMa1tj3lTF1Agfs0lDBnZTPJxxUyj5rDehv2+vQBoSxApSWrCrgVgXeNbdGYKcZH3CN57CxtnFxp16QlA7J0zWOtzSgmkmkcQnPwy76h+xdlVT4aJGYlW1VABfuFXeXHbevY37UCClR3alESeObgFFIUgdXsa2eXMIlwWvIzwpHAsravQoMFytFprXPUXGc081htZsDc555amSqWmdq15GOucSTXTcq1Lc+xH5NwaIyEDu5/NSb0XxvXrXwKgNTKi/dAROA6snVOs80oCKQf/v9p6lZq21GrhSoTnM/hGbwfg2NYI7txMzvda+tj48FbDtwD47NhnRN+LLrHf05NEkiVRbCn7Q9GFvI2ROpUbMdb8ZdyRld2fB2AwS2kRk8EnKeGELr9K1N9RhZ6veWNfPvtCj+aUCv/FdnjO/xbbt17h/MWxnA95l+zsJKys6tOs6Sbc3YegUsnbVoiS1LizFzbOZqQmZXJ43bXyDgcA627eaOxM0CdkkLgpDFdjHe965hRj/LTKm6RojXEigTpcICrKh7uJTjjX2wzA0Y1hpCVn0rxPf9QWlqRkxeMRlzNGKc38JlEGV1pmJ7EsbTRdn3HicvXnyNBZYZaWTs99f1P9Vjhb2uXcjvMPPZV7O26vyWv4GqvJNGQy6+gsACzMfalf7zvUamMacpxBfM9Hl26Sqs9Ztkmns6NO3UWoVFpiEveS2dMWI/ecGlLGx7OwOemEnV2LPK/dyNEM6645g90Tt14n619jkwL7VKf3By0ImDQAhztnUFDz91fH0Wfnv0zU4FqDqedQj5SsFD49/KncjnsIle5T56uvvsLLywsTExMCAgI4evRoge3XrFmDn58fJiYm1K1bly1btuTZP2TIEFQqVZ5H586dS/MlVGoZV+LQbxuBmeYW8UkmbElsx8IXcpYx6an8Qdc74Uy/e5fT34QQe6jwLv3unXz44NNsLH42ovbZulT7/Q+y6hlx5GgXYm5vQqXS4O39No0b/Ya5ebXSfnlCPJE0RmravphTK+jc/lvEhCWVc0SgNtZi95wvqODesWjSLsYxvKojHiY6rhh0HKybM4i7hXo/GvRcuRyIymE3Vs4ZZKZlc3j9NYzNzGjbL6fm0K2407hkWoBK4Z7ldQ4nD8c8O5Hqdz7F3M2e0BoDALBLSGDsT0u4Y++Sezuuy/4N6DLTiVG5YunQFQ0K+2/tZ2/EXgBsbJpQu1bOgO5n2Eqd9D9YdOP/B1TbWDfGx2ccAJevzcB65pu5+8x/Tscs/v6K3OYBrhj72kC2gfg1l1D0OQmOibkRzt5WWAQEEFA7HaOsFOLjFY6ty/92nEatYWqLqRipjdh7cy+bwzY/5G/lyVWpkqVff/2VMWPGMHnyZE6ePEn9+vXp1KkTt28/uLDhwYMHGTBgAEOHDuXUqVP06tWLXr16ce5c3jXIOnfuTFRUVO7jl19+KYuXU+lkJ6STsuo9rLUnyMjQsvF6S2YPHoFBraGVspuBCYeZeyuVQwtPEX+28EJoQ172Zsib4Dpbh6/Hc1T9aTnX01Zw6vQgMjKiMTX1onHjNVTzHo1arS2DVyjEk6tKTVtqBuTc+tr7S2iBA4fLinE1GyxaVAEgfu1ldJkGPvZxA2C05bOkm9rhbEijuvYwer2W0Istsa29GICQoEhiw5Op36EzJi5uZBnScLiTgFpRYaoYkaFYcjurJlY3/qLjUyHccahHjFMj1IBz/F1eX/sT+5t2INHSFtOURNoc/huAneo+NLR2BGDW0Vm5C9Q6OXXGt/oHALzIDxwJX8/1f8389XAfir19GwyGDK5kf4Pnpt8xC3wKJS2dW2PHYsjMzPPaVSoVtn1roDLWkBmeTPL++6utu783Gv/YbQCc3HGL2zfyT3J9bHxyZ8fNOjqLO2l3ivfLeMJVqmRp3rx5DB8+nFdeeYVatWrx7bffYmZmxvfff//A9gsXLqRz58689957+Pv7M23aNBo1asSXX36Zp52xsTEuLi65D1tb27J4OZWKIVNPwuKF2Kt+RzHApvPNmP7K26TrTKinnGJEyjq+uqJi57yjJF0p+FupSqXi3dHudHlaQ82pJlR7cxpWHwzi5NkXiIhYDkCVKgMJaLYRa6v6ZfHyhBBA877VMTbTEhuezLm95V97CcC6kydaB1MMSZkkbLpGV0drmttYkKAyZoPfawA8rZzEoEolJcWeqCQjXPxugwL7f7uESq2m86BhANy8d5l+aU/RQ+PDM5Y67pl2AsDu1CT8auu5VL0fmUamWN67R6vgEzS4fJG/2vYGoEHIUapGhpGt0nLdcihWGgM3U26y4tyK3Fjd3V+lSpWXUKMwzLCQhSG7cvepVGpq+c9Bp3MiNfUK17NW4TZrNhpbWzIuXCD288/ve+1aG+P/Xztv+w2yYvLWp9NYmNPw/Rdxun0cBRU7V14o8HbcK3Vewc/Oj8SMRNZeXvsQv40nV6VJljIzMzlx4gQdOnTI3aZWq+nQoQOHDh164DGHDh3K0x6gU6dO97Xfs2cPTk5O1KxZkxEjRnD37t0CY8nIyCApKSnP43GmKAqJP27AJnUuigLbTtdn+ktvk2hhhbdyhbFp37PqrBkb5u7n3s2Ci01qtVomf+xKS0cT6v9QFe/vfyYlMI1jx3uRci8UIyN76tdbil/NqWg0ZmX0CoUQAGZWOp7qmXO7+8iGa6QmZRZyROlTGWmw/d/tuNQTMaRfimdKdTdUwDiL9qTa+7Hb2YtTDicAuHWzNtmOP6ExUhF1JZGrJ2Op1qgptV58ld/6jEJjZIZOMUKnVmF8ry2RNESbfY9WunnozSy44pMz/tI2Pp7Rv64gztaZM/5NAHh233o02VlcUNehpn0zAJYGL8mtYaRSqajhOwkT61YYk0nzxI/ZEf3/i4TrdPa59ZeiotYQpzqO64ycJaLiVv5Ayr7713Iza+SUU3tKrxD/++X7qq1btGxBhw+7YGppRFzkPY7/dT3fa2mkNmJai2lMbT6V4XWHP9Tv40lVaZKlO3fuoNfrcXbOe2/X2dmZ6OgHj+6Pjo4utH3nzp354Ycf2LlzJ7Nnz2bv3r08++yz6PX51wOaOXMm1tbWuQ/3/w3We1zd23kWk7D30KoyOXLOh1m9RxPp6IKjEsP4zC9Yd8SKnz/fRXpswUXtTE10TJvpxFM3LWh8tQVVVy/lkrKQS5em/G+5krYEBGzBwaFdGb0yIcR/1WpVBQd3i/+N+7la3uEAYOxljUXznNtvCWsvU1un43kXWzLVOl5s/gNN+/1GtHUSVy1z4r1ywx/nOucBOLj2CvpsA8/27EOTWu58Wz2nXpKiNqBCzT3Nq2QoRuiiDvJsvQNEOzcjzr4mGkXBIiOVkb+vYu9TnUgxs8Qm4Q5PncoZp3RI9woexjrS9RksODk/N1a1WktA/UXcM/LGjjiiLrxJZvb/f4m0sw3EyzPndtjFix9hFFgT25dyxlVFfvQR2XFxeV67SqXCto8vKhMNmRHJpBy4v8fPtkkdWvXPKbdw8q8bxEbkPzvOz86P3r69pexKMVWaZKm0vPDCC/To0YO6devSq1cvNm3axLFjx9izZ0++x3zwwQckJibmPiIiCp8aX1mlh95Gv+dNTDWxhF5x5rNWb3LRqzoWSjITsuewe68Vy+ZvJzOh4G+g1lYmTJ3tROsdFjSoOQzz2S9xPHQAd+/uQa3WUcP3Y+rXW4qxzqGMXpkQ4kHUahWtX8gZ7H0hKKpCDPYGsOrklTM7LjGTxK3XmeDtiqlaxeGkNC5m2TOuyTjO2p0l2SiZrEwzbqafxdRKRfLddM7uyhnv8763K5u8jbntoENlUKOo9Jje8+aiac56cp4xX+Fqc5vQ6gPQq7XYJibS5NI5Gly6yM6W3QB46tR+7ONiiFdbYWqXs57cpmubORN7JjdWrdaS5g2XkaaywU25SuiF8XlmoHl7v42VVX2ys5M4HzIWx7HvoKvugz72DlGTPr5vtprG2hibrjk9fol/3yDrTtp916d6YyeqNXTEYFDY9cMF9Pr8b8eJ4qs0yZKDgwMajYaYmLwl22NiYnBxeXAFZxcXl2K1B6hWrRoODg5cuXIl3zbGxsZYWVnleTyOsuPSSflxDNbac9yOMmdu9WEcrN8kp+ikYQ4n/zLmqwVbySpgBWwAZydTPpnmxDNr7Kg1+jMSe2Vy5txrZGXdxdy8Bk2brMPdfbB80xGignD1scbvqZy/k/t+vVTuC+0CqHUabPvk1Dm6dzgK++g03nB3AmD61Sh6+z5PYNVAjjgewaAycDfeDZ17zpCLE39dJy0lk6omOo61rEOdF2uDGlRKTnVs69QOZHs+g0qfwbMuX5NuasdNv64AWCYn8/aaldxy9uSylx9qg56O+9aDYuCg9ln8rHLWrpt5eBoG5f8TFAcLT1o2XIxKZcTt2L9yaykBqNVG1K41H43GnISEo0TE/ECVOXPAyIiUnTtJ+P33+16/WRPn/58d98f9t+NUKhVtBtTEwtYYv0BX1PL3tERVmmRJp9PRuHFjdu7cmbvNYDCwc+dOAgMDH3hMYGBgnvYA27dvz7c9wM2bN7l79y6urk/2gqyGTD3xi+fioNlIepKW+aaD2dimIyrFwJvKQsL+zGD+l3+hTy94+RJPD1MmjXahy2ZfPL6dzyXHZURE5AzIr1p1EE2brMPComZZvCRRzsLDw7l48SJnz57l1KlTnDhxguPHj3P06FGOHDnC4cOHOXLkCMePH+fUqVOcOXOGc+fOcfHiRa5du8atW7e4e/cuKSkpZGVlSa2YUvZUbx+MjDXcvp7EpaMVo5ChSXVbzJo45xSr/OMyb7o5YG+k5VpaBj9HxzGl+RQMlgbO2+TcgrsWl4qlk4HMdD3HNl0HwEqrQedmgUXLnMK2ikqPNtOKm4Znwdga08Sz9G2+n7YrPybVwQGTzEzUGHjzj5/Y2bIbmVodVaPDaXflLAaVmljz1zBXK/gapZCtz84Tr41NE/xqTs2JJWwBt/83cw3AzMyTmjUm5+7LqmrA6Z23Abg9cxaZ/7ljoVKpsO3ti8pITWZYIveO3f87MbPS8dK0QOo/7Y5KLclSSVIplegvzq+//srgwYNZvHgxzZo1Y8GCBfz2229cvHgRZ2dnBg0aRJUqVZg5cyaQUzqgTZs2zJo1i65du7J69WpmzJjByZMnqVOnDikpKUyZMoW+ffvi4uLC1atXef/990lOTiY4OBhjY+MixZWUlIS1tTWJiYmPRS+ToijEf/871uFvoGQYmB/7Ap+/9DoALynfo/olmM+/31vot82aNc2Y0NmVp1PaofmgLZdvzkavv4eRkS3+/rNxdGhfFi9HFFNaWhp3794lLi7uvkdCQkLupIbMzExWr15d5PPWrl2bkJCQEotTo9FgYWGBhYUF5ubmuf//+++/4+joWGLP8yQ7ue0Gh/68ipm1joFTnkJnUv4lPAypWUTPO4EhJQurZzxZU9OUjy7fwlGn5XCAP3vDtzF+33haR7fGMd0RW50R2vBA1GoVL3zcDFsX85zzZOqJmXcCfULO9H5FpcemXTCWByeC2ghe30dkcCSJb40C4I6dHbNeegNVZhLtDv2FztyCL58bRaKpOSP182iuDqJO7S9wdu56X8yhl6Zw8+YPaDRmNGn8BxYWOeOLFEUh+NxIYmO3YWZWnaaN1nLr1TdIPX4c0yaN8Vy5EpVGk+dcyQdukbjpGipjDS5jGqOxLtrnlHiwon5+l/87vxj69+9PbGwsH3/8MdHR0TRo0ICtW7fmDuIODw9Hrf7/zrLmzZvz888/M3HiRD788EN8fX1Zt24dderUAXL+2J49e5aVK1eSkJCAm5sbHTt2ZNq0aUVOlB5HKbvOYnJ9PCqyWRHehYWvvgpAZ2UjhlVHmb/yCBSSYtdvYMbkmm485fEKcZ3uEH3jYwBsbAKoXXueLH5bxrKysoiOjiYqKorIyMjc/8bExHD79u08j+Tk/AeH/tdPP/2E5j9/zPNjZGT0sOE/kF6vzx03+G/F+bc7bNgwzp8/j6urK25ubri6uuLu7o6HhwceHh5UqVLlif5bUP9pd87vv0XSnXRObrvBUz19yjsk1GZG2HSvRtwvoSTtDueFOg1ZYqrjelom30TEMtb7Wbbf2M7B7IM8E9mB+EzwdEkl/Y45MdeTcpMltU6DTU8f7q4MQUFBpWi4fc4Oc9/OqC9vhfUjcRu6nainAjA7fASjrCzeXr2M1yfMoPalUzjdjWbYub183rQLawyv0Vh9jEuXpmJn1xIjI+s8MftW/4h79y4TH3+Is8EjaNrkT4yMrFCpVPjV/JTExJOkpl7h6vXP8Z41k7AePUk7foK4lT9g/+orec5l0dyN1DOxZEUkk7DxKvYv1Sqza/8kq1Q9SxXV49SzlHEllrQVvbDWnOPPCy14/5UPSTGxoKlymKrff8u3P50p9BzNAs2ZZemJ3+hRhNmtIS3tOqDG23s03l5volIV7cNVPLwZM2Zw4sQJwsPDCQ8PJzY2tlRuWyUkJGBtbV14Q6BZs2YcO3asxGP4N7VaTVZWVp4vTQVp1KgRp06dKrCNi4sLXl5e+Pj44OPjQ7Vq1fDx8aF69eo4Ozs/9mPtrp2K5a/FwWiM1Ayc8hSWdiblHRKKonDn+3NkXE7A2MeaQz3cmXI1kkk+bvRytuVO2h16r++NzR0bGt9pjJFixgsvDMDH//6Zy3dXhZB2/i4KObPjtB2icDk2DjIS4ZmppPn053KnzhhlZHDLzZVDNeuzts3TvPRnTvHL7c+9wWmHqjyfsYVeumW4ufXH32/Gfc+TmXmXY8d6kZ4RiYP909Srtzh36aa7d/dy+kzOl9KGDX9EteMm0ZM+RmVkhPefazGuXj3vuaLucXvRKTAo2A+qhWkt+5K+xE+Mon5+V5oxS6L0ZSdmkPTDWGy059h/qRbTXnibFBMLqhlCsftmYZESpdZtLfnaqgFe04Zw0XwhaWnXMTZ2oVGjn6nmPUoSpYeUmZlZrGRn27ZtrF27luPHj3P79u1SG99TnBpjOp2uVGL4N2tr6yInSgBRUYWvXRgdHc3hw4f56aefmDp1KkOGDKFVq1a4urpiY2NDs2bNGDRoENOnT2ft2rVcunSpwNIjlY13AwfcfG3QZxk4sr5irBunUqmw7VUdtGoyribSPjKToAB/ejnnFBR2MHXgo4CPuG5xnWizaLJUqezYt+WBvxfr7j6ojNSo/vdxmHZQh779lJydu6Zjqk1BNzQnkXG8HUv7E0FYp2Vwxq8xAF0PbsFDgUbXfQGIjPyV+IT7vxTodPbUrfs1arWOO3d3ERa2KHefvX0bqrjlLLdy4cJ4LHp1wrxNa5SsLCI/+BAlO+9YKJ2rOZatciqbJ6y/iiHj8Xm/VVSSLAkAlGwDcd/Ox1G9ngs3qjC58xiibJ1xMETj/MVH/PD7xULP0elpG5a4d8Roei2upXyLwZCJg/3TBDTbhK1N0zJ4FZWboiiEh4ezbds2vvjiC9566y06depEtWrVMDU1zbee2IN4eHiUYqT/rzjJUknfhnsQGxubIrfV6/X5LpVUVElJSRw7doxVq1YxceJE+vbtS82aNbGwsKBx48YMHjyYzz//nMzM8i/u+LBUKhUtnsvp2Qg9El3gkhplSWtvitXTOT1FiZvD0GXlnSrfyasT7T3bc8L+BHqNnqioKIKCgu4/j40xlu1z/r0oGDBKtSfipgn4tAd9BmwcTc0RI0h1dUWXnU2amTljf1xCUNP2pBmbkhkZzpdpN+hq8MX6ZhsAQkMnYTDc/zu3sqqLX82cIpRh1xdx9+7e3H3Vq0/AxMSd9PRbXLkyE9epU1FbWpIeHMzd75ffdy7L9h7/K6WQQdL2Gw95FUVRSbIkAIhfvRm71M+5fduKSfXf5oKHL2bZCTjPGcG6DYUXpuvbxp4vO7zAnTfuEpu4E5VKS/XqH1Cv3ncYGcnyMf+m1+u5fPkyf/75JzNmzODll1+mSZMmWFpa4unpSefOnXn77bf56quv+PvvvwkLC8NgMHD58uUiP0dZFUqtaD1LxUmWbt++jcFQOrVo0tPTOXnyJD/88APTp08vk0SxNDl5WuWsGwcc/ONKhZmJaNm6as5SKClZJP2dN2FQqVR8FPARRqZGnLQ9CeSs1vDfcjIAli2roHU0ze1dUp20J63FBDAygxtBqM78SNUpnwDgFh2NmSGLHgd2sz/gGQCOrPkJ4w6OOF7phybTknv3LhMecX+CA+Dq2ocqVV4EFM6dH0NaWk6RSa3Wglr+swEVkVG/kai9gPMHOWvN3Vm0iIz//PtX6zQ5vWtAVlRK7kK7onRUqgHeonSkHLqAcegYMu8pfGL/BgfqB6DOTsNh5hB27S78G8srTzkyflQ/wu12oKRnYWJShTq1F2Jt3bAMoq/YoqOjOXv2LMHBwZw7d47g4GBCQkJIS7u/qFxhLl++TOvWrYvUtiL2LNWsWZO4uDh0Oh0ajQa1Wo1arUalUuU+FEVBr9fnPgwGA9nZ2WRkZOR5pKenk5aWRkZGRp7nKE6yFBkZWeS2j6JBgwbFGtdkMBiKdSuxrAT0rMaVE7e5dSmBG+fu4lW3/AvIqrRqbHr6cGfZOVIORWLWxBmdm0XufkczR95r+h4fB32Me6o7LqkurF+/nqFDh+aZmKDSqrHpkXMeBQVNtimRey7g8/Qk2PYBbP8Y55FHuBUYiOmhQ5ilpzN433ZeeWci0Y5uuMRGcnjX7zzVvAeOoS8QXXcJYWFf4OzUFVPTqvfFXcN3IklJwSQnBxN8biRNGv+KWm2MrW0A7u5DiIhYzsWLHxHQ/S8strUhZe9eIidOxOvnn/PMjjOpYYvD8LoYV7N+7MfOlTdJlp5wmTcTydg8Amt9LNOyXmXt011RsrKwnTaQYwcKTpRUKninWRVentGam8pfoICDQwdq+X9232yQx90/vUWnT5/O83jQt9iHVZyepUdJlqysrHB0dMTBwQE7O7s8D1tbW6ytrbGyssLS0pJGjRoV+bxffPHFQ8eUn6ysLO7du8e9e/dISUkp8sw8KNp4pZLQsGHRvzSkpKTg6elJkyZNaNmyJW3atCEgIKBCzMiztDOhXruqnNoezqE/r+JR2x51BajlY+Jri2k9B9LO3iFhw1UcX6+XJ3HoVb0Xm8M2c0J/gmczniUyMpIjR47QvHnz+89T25608zlrg+oueRHfyhxbt0YQeRL+Go//jM+40rETNvHxpDZtyuhfV7LouQEMXPcd53Zvp+4nHbE93Y7EuP2k2V3k0uWp1K/33X0xq9XG1K3zFUeP9SA5OZjLV2ZSs8YnAPhUG8udOztJSwvnypWZVJ/yCde6dSf9zFniVq3CfsiQvHH72JTo9RQPJrPhSkBlnQ1nSM3i9mejcTb8zNcRvZn+8ij0mVmYTH6J8KMF33rTaOCTtjV4+mNX0rIjcm67+YzH3f2VJ+4bzo8//sjrr79OampqqT5P7969Wbu2aCuFBwcHU69evdyfjY2Nc6fH/zNF/p//Ojs74+TkhJOTE46OjhXig7ksZGdnExMTk6ecws2bN4mIiMidRRgREfHI441WrVrFS/9b+6swu3bton37vPXHTExMaN68OW3btqVdu3YEBASU22299HtZ/DjpEBmp2Tw9yA///63XVt6yEzOImXscJcuAXf+amDV0yrM/PCmcPhv64JrgSuM7jdFqtYwYMQJ7+7yzyLLj0omedwKyc27PJtcPwq9dV1SL24CihwG/cuHP07BiJenGxpi7uzOxXTfMEyKoc+k0LtVr0vvFCUSt3cX1wEmg1lO/3hIcHJ5+YNx37u7hzJmhANSp8yXOTs8CEJ9wjJMnBwAKDeovR70jmujJk1GZmFBt4wZ0j/l6pGXpsayzJEqOYlCIXbIUZ+Vnfg9rw+cvv052egZMHEL4qYITJa2Rijn961P/1QzSsiMwNnahbp1FWFsXvZfhcVKlSpVST5SgeD1LPj4+rF27Fg8PD9zd3XF0dHziktjCaLVaqlSpQpUqVfJtYzAYiI6O5tq1a1y7do2rV69y7do1Ll++TGhoKAkJCYU+T3F6lg4cOHDftvT0dHbt2sWuXbsAsLS0pF27dnTs2JFnnnkGX1/fMvvdmpgb0bizFwfXXuHopjB8mzqjNSr/Ga5aa2Msn3YnadsNErZcw8TfDvW/Cmh6WHnwRv03WHhiId6p3til2rFx40YGD867zJLWzgTLNlVJ3hlOti6BKIcVOGga49j8LQhaCFvGUfOt/ZzZsBGTuDhiTUx467eVjHj/E2qEhRB9JZSwO2dxdq+D3Y1OxHlvIfTSVGxtm6PR3F9ywcG+LZ4er3MjfDEXLkzA0qIWZmae2No0pWrVQdy8uZKLFz+iWZ8tmG3ZQuqRI0RN+hiP5d/Lv+cyJj1LJaAy9iwlbNyP2bHnORJRjZG9pxKtMibjg6EknS/4A1mnUzFvTEP8nkkAwM6uFbVrzUOnsyuDqEtfXFwcR48eBaBz585FOiYxMbFYY2Uehlqtxt/fn+DgYPkjWUEoikJsbCwXL14kNDSUkJAQzp07x7lz53JnLpqampKUlIRWW7TvpZ06deLvv/8uVhze3t506dKFrl270q5dO0xMSrcOUnamnh8/Psy9hAxaPu9L/fYVo5dDyTYQPf8E+rvpWLapivWz3nn2Zxmy6L+pP5G3I+kU2QmVQUWPHj3uu5VsyNQT8/lx9ImZxFb/g/Q65who8Dvqb1tBQjg0H8WttGYkjR9PopUVToGBrMrWcry6J03OH6HXayOpXb0hkQuDCAsYT7ZJPN7eb1PNe/QD4zYYsjh5aiCJiSewtKxDk8ZrUKt16PWpHD7yLOnpN6ladRDeJq9wrUdPlPR0XGfMwKZP71K7lk+Son5+S7JUAipbspR2MZLMHzsRczeb11p+Soi5PSnjh5N2Kf/FgwFMjdXMn1Gb6g3uASq8vd+u1EUmDQYDoaGhHDx4kKCgIIKCgrh06RIAAQEBHD58uMjnqlGjRrF6fvJjb2+Pv78//v7+1KxZkxo1auDr64u3t/cTc3vscXDnzh3OnTtHVFQUAwYMKNIxer0eW1vbYlVQ/y9TU1Pat29Pz5496dGjB05OToUf9BBCDkSy+8eLmFgY8fK0QHSmFeMmRVrIXe7+EAIaFS5jGqO1N82z//Tt07z818vUSKhB3fi6mJiY8NZbb2FhYZGnXerp28StDsWgyeB6q4+pH/g11jG34efnQaVBeX0/Z37fg3OP7jiamhLapRvDRn9IhLMrAz1dmV3TncTtN7h17nei6n+NVmtDyxb70WjMHhh3enokR452Jzs7AQ/3ofj6fgjA3bv7OX1mCKCiceNf0a85xe25n6Oxtqbals1o7aUY5aMqtWRp8ODBDB06tMizcp4ElSlZ0iemc2dOP7Qpx3nddwr7XH1IHDeczLCCi81ZmKqZO8+b6jUUjIzsqFN7AXZ2Lcoo6pKRnp7OsWPHOHDgAEFBQRw6dIi4uLgHttXpdCQlJRU5QRkwYECx1klzcnKibt261K5dm1q1auUmSLKm2ZPrzJkzNGjQoMTOp1KpaNGiBb1796Z37954e3sXflARGfQGfpl6lISYVJp196Zp15I796P4d2Vvk1r2OAy6fymQTw5+wtpLa3k25llM00ypW7cuffv2ve88sd+cITM8GeMGlji+0CBnx+qBcHETeDSHV7bkzHIB7n6/nL//3Mi7Yz5GBWxrUoO6JsZEzTvObds1uHk+j1OngAJjj43dwdngnDU469dfhoN9WwBCQt4nKvoPzMyq06zhWm70f4mMixex6t6dKnM+e6TrJUqxgndiYiIdOnTA19eXGTNmcOvWrUcKVJQdRW/g9lefYpN1gMk2I9nr7EX8u8MKTZRsLDTM+8KN6jUUrKwa0KzphkqRKKWkpLB9+3YmTZpEmzZtsLGxoXXr1nz44Yds3rw530QJcipmnz59usjP1aRJkwduNzExoVmzZgwbNoyFCxeyc+dOYmJiiImJYceOHSxcuJDXX3+d1q1bS6L0hLtx40aJftlSFIUDBw4wduxYqlWrRtOmTZkzZw7Xr19/5HOrNWqadc9JkE5vDyf9XtYjn7MkqFQqbLpVAzWkh9wl/UrCfW3ebfwuNiY2HLI9BORMhrh69ep957HuVg2AjDPJZEam5OzoPCun9lL4QTjz/1+O7F4aSAtne7oZ0lGAjy7dAq0a224+OFzrSea+LLLvFlwuxNGxA1WrDgIgJOQ9MjJyCqb6+n6ITudAauoVbkR+j+u0qaBSkbRxIykH7i+yKUrHQ92Gi42NZdWqVaxcuZKQkBA6dOjA0KFD6dmzZ6UvvvYwKkvPUuyqP7AJHc7MpEEsatmF+LGvob9ZcHkAB1stc+a74O6uo0qVl6jh+yFqdcW8HZSUlMT+/fvZs2cPe/fu5eTJk4+07MTChQsZPfrB4wz+a8+ePfTr14+GDRvSoEGD3Ievr2+Rx6sIodfrOX/+PPv27WPPnj3s2bOHu3fvluhzWFpaEhsb+8i3dRWDwq/Tj3L31j0ad/bkqV7lv8juP+LXX+HeoSiMXM1xGtUQ1X9KHKy7so5JQZNoFN8I7wRv7OzsGDFixH2fX3d/uUjamViMfaxxGFY3Z7zggfmw4xMwc4BRJ8DUJrd9VEYmLY5cJFVv4Ct/D/o42+b2dJnWtsf+5YIXvdXrMzh+4jlSUkKws2tFg/rfo1KpiY7ZyPnz76BS6QhotpnkBauJX7UKIw8Pqm1Yj7qUx6k9zspszNLJkydZvnw5S5cuxcLCgpdeeok333wTX1/fRzltpVIZkqV7Ry+ibOjMz1Et+bhDf+6MfRN91M0Cj3FxNmLO5y5UqWKJn990XF16lU2wRXTv3j2CgoLYvXs3u3fv5vjx4yW6JteLL77ITz/9VKS2//wzksHXoiQZDAZCQkLYvXs3O3bsYNeuXaSkpDzSOYvzvi7MtdOx/PVtMFpjDYM+DcTUsvSrtBeFPiWT6LnHUdL12D5XA/Mmznn2GxQDg/8azLmYc3SP6o46U03btm1p27ZtnnY5pQSOQ7aC/eBamPrbQ3YmfNMc7l6GgBHw7Kw8x3xxI4YZ16Jw1mkJCvDH+G46MQtPggEchtXFpLpNgbHfu3eVo8d6YDCk4+s7EQ/3V1AUhTNnXuVu3D5sbAKo77uYsK7dyL59G4c338Rx9KiSuGxPpDJZSDcqKort27ezfft2NBoNXbp0ITg4mFq1ajF//vxHObUoQdmxKaSuH8be6JrMbN2D2HdfLzRRqlrViPkLXalWrTpNmvxRoRKlzZs306pVK2xtbenUqROzZs3iyJEjJb546ZEjR4rc9p8K1EKUJLVaTZ06dRg1ahTr168nLi6Offv2MWnSJJo2bfpQ77nnn3++xOLzru+Ak6cl2Rl6Tv0dXmLnfVQaCx1WT+cUZk3cdh1DZt6/DWqVmo+e+giDxsBR65zZr/v377+vF09rZ4JFi5zSEol/Xc9ZUkSrg2dn5zQ4+h3EhOQ55rWqjniZ6ojJzGbBjRiMnM2xeCqnHlXipquFLktibu6Dr+9HAFy58hnJKRdRqVTUrDkVtdqEhIQj3E7ehvOH/xsEvmQJGdfCinuJRDEVO1nKysrijz/+oFu3bnh6erJmzRreeecdIiMjWblyJTt27OC3335j6tSppRGvKCYly0DM1+8RlZDMhMb9CH9vNIaYgisXe3oaMW++K/7+nWjaZB2WFn5lFG3RpKenc+DAAbKySn6chEqlonbt2gwdOpQJEyZUmDWwhICcxYhbtWrF1KlTOXr0KNHR0axYsYJ+/fphbV141XwLC4sil8QoCpVKRdNuOWOXgvfeJDWp4iwYbNHcDY2dCYbkTFL23z+21s/Oj341+nHL/BZJlkno9Xr++uuv+/7NW7V1R22mJft2Kqkn/1eRv3p78OuWU6jyr/fhX8eYaNRMrV6FDvZWvOiaM1vNqoMHajMtWdGpZFxNKDT2Km4DcHBoj6Jkcv78O+j1GZiaulOt2juoVBoyM2Ox7NQR89atULKyiF1U8tXxRV7Fvg3n4OCAwWBgwIABDB8+/IGzNxISEmjYsCFhYU9GtluRb8PFLF4GoZN5zvkdDs6ZjeHunQLbV6um47M5rjRsOBZvr5GoVBVvjaq4uDgcHBxKJJExNzcnICCAFi1a0Lx5c5566qlSr5kkRGnIyspi3759/Pnnn6xbt+6Bk28GDhzIjz/+WORzfv755xw4cIDXX3+djh07PnDNOkVR+H32CW5fT6LBMx606Fv9kV5HSUo9G0vczxdR6TS4vNcEzX9uEyZmJNLtz25kp2TTObIzikGhf//++Pv752mXvP8WiZuvobbS4TKuCWqdBuJvwFfNIDsdnl8JtXsVHEvwHTSWRhh7FW0pqMzMuxw52oXMzDu55QQMhmxSU69hYVEjp01EBHErf8Bx9Cg0Feyzp7IotTFLq1at4vnnny/1wmeVSUVNlpL2HEO1pQeDVEPYsGQJhviCB4r6+uqY+7kvzQO/yLc8f0nT6/UcPXqU8PBw+vfvX+TjmjVrxrFjx4r9fM7OzrRu3ZpWrVrRokUL6tWrJwOwxWNHURSOHz/OH3/8wZo1a7h2LWfG6/r16+nRo0eRzmEwGPD19c091svLixEjRjB06ND7lgm5ce4um748g9ZIzcvTm2NmVTHGLimKwu2vTpN1MwXzp1yx7XV/Ivdb6G9MOzyNhokNqRZXDWtra0aOHIlO9/+vQck2EP35cfTxGVh18sSq3f/WXtw9A/bOBmsPeOsoGJned/5HcefObs6cHQZAw4Y/YmcbWKLnF6U4Zunll1+WRKkSyIyMI3Prq7yT0I313y0uNFHy8zfmq69b0qH9xlJPlG7fvs3KlSvp378/jo6ONG/enDfeeIPs7Owin6NDhw5Faufl5cWgQYNYunQply5dIioqit9++41Ro0bRqFEjSZTEY0mlUtG0aVNmzZrFlStXOH78OB988AEdO3Ys8jl27tyZmygBXL9+nfHjx1O1alWGDh3KqVOncvd51LbLGbuUZeDMzoozdkmlUmHTJec24b2jUWTF3r8sUV/fvvjZ+XHW8iyY5JTH+e+yMyqtGuuOXgBkhif/f692i7fBqgokhsPBL0s8fgeHdri5vQDklBPIzn74gqXi0UgF7xJQ0XqWDJl6bk0bwJdXspn7124MiQkFtq9dx5gl3w2iadP5aLXmJR+PwcDJkyfZvHkzmzdv5vjx4w+8hRYUFHTfSuD52b17N08/fX9S5+HhwdNPP027du1o27YtHh4ejxy/EE+i5557jj/++KPANq1bt2bs2LF069aN8HNxbP76bM7MuOmBmFpUjN4lgDsrzpN+MQ7Tug7YD/S/b/+JmBMM2TqEqqlVCYgJQKPRMHLkSOzs/n8ZJ8WgkBGWiHE167wD64N/hz+G5tRfGnUCrEp2ceHs7HscPdaNtLRwXF36UquWFKIsSWUyG05UTJHfLOT3S5HM3bKr0ESpfn0Tfl09i6eeWlyiiVJycjJ//PEHr776KlWqVKFp06Z88sknHDt2LN+xRlu3bi3y+QMDAzE1NcXNzY2BAweydOlSrl69yvXr11m+fDmDBg2SREmIhxQdHc369esLbbdv3z569uyJn58fWw78hqWzluwMPWd2RpRBlEVn3dkLVJAWfIfMm/f3zjR2bkxHz47cNL1JunU6er3+vjX6VGoVJj42989ArNMX3AMgKxV2fVrisWu15tTynwOoiIr+gzt3dpX4c4jCSc9SCahIPUvxfwfx1/evMmhzJPpC6rE0bmzB2rW/4eHxbIk8982bN9m4cSMbNmxg165dZGYWb2ZM06ZNcxexLYqIiAiqVq0qU/aFKGEzZszgo48+KvZxdjb2NPftQftGfRgxvzPGFWTNOIC430JJPXkb4+o2OA6re9/+m8k36bGuBybpJnSM7AhKzrATH58iFNu8eRyWtgdU8NoecGtQ0uFz+fIMwiOWodM58lTAVoyMbEr8OZ5E0rP0BMqIiGXfipcZvOlWoYlSswB7tm07+kiJkqIonD59mqlTp9KkSRPc3d1588032bp1a7ETJYDjx49z507Bs/X+zd3dXRIlIUpBVlYW5ubF72mOS7jLpmPLmfB9P4a//CaRkZGlEN3DsergCRoVGVcSSL8cf9/+qpZVGVRrEMm6ZGLsc0oEbN26tWj126o2gbrPAwr8PTFPKYGSUq3aGMzMfMjMjCX00pQSP78omCRLjwklM5u/PuxGv3XRZN+7V2DbFi2qsnPHBezt7793Xxi9Xs/evXt555138PLyomHDhkyePJkTJ048bOi5FEVh+/btj3weIcSjmTx5MlFRUXz77bfUr1+/2MdnZKWx6o8lVKtWjVGjRnHzZsFFcMuC1s4EiwBXABL/vvHA4QDD6g7DzsSOI2ZHUOvUxMbGFv1vW/vJoDWB6/shdEtJhg6ARmNCrVpzADUxMRuIjZW/lWVJkqXHxIaxb/DC72fITCt4scZ27fzZseMSFhZFX7TVYDCwefNmhg4diouLC23btmXhwoWEh5fMrBcTExOeffZZFixYQMuWLUvknEKIR2Npacnrr7/OqVOn2LdvH/369UOj0RTrHBkZGXz55Zf4+Pjw5ptvEhFRvmOZLNu5ozJSkxWRTPqF+xfSttBZMLLBSLI0WVywvQDkTCZJK+TvKgA27hA4Mmd2XCnVp7O2qo+nR04pgYuhH5OVlVgqzyPuJ2OWSkB5j1n6e/6X9PpgLGkZBd/66tQpgPXr9xZ7AU1FUfDx8SnRIqPe3t507dqVrl270qZNG0xNS7Y+iRCi5N26dYuvv/6ab7/9lri4+5ONwuh0Ot544w0++OADXFxcSiHCwiVuDSN5z02MXMxxGn3/IrvZhmz6bOjD9YTrPHfnOQwpBgIDA+nUqVPhJ8+8B6hAZ1Y6wQN6fTpHj3UnNfUarq7PUct/dqk915NAxiw9IQ5u2kbvCe8Wmih1696eDRv2PdRK4yqVit69ez9siABotVratm3LnDlzCAkJ4erVqyxatIjOnTtLoiREJVGlShWmT59OeHg4X3/9dbEXTM/MzOSLL77Ax8eHCRMmEB9//9ih0mbZuioqYw1Z0fdIC469b79WrWVs47EoKoWDlgeBnHUi/7tu3APpzEs1UYKc23H+/rMAFVFRv3P37r5SfT6RQ5KlSuzY4SN06tuN1MyCizn27t2NtX/8lacibXE9TLJka2vLSy+9xG+//cadO3fYvXs348aNw9/fXwZmC1GJmZubM2LECC5evMiff/5JQEBAsY5PTU1l3rx5JCQklE6ABVCbGWHV3gPLtu6Y+No+sE3rqq1p6tKUWya3MNgbMBgM7Nixo4wjzZ+NdWPcqw4G4GLoRLKzCx6nKh6dJEuV1PHjx2nftjUphSRKzz3Xl19/XYuRkVHutqSkJFatWsWePXuK/HyBgYE4OTkV2s7Hx4cxY8awZ88ebt++nbs8TlEW+RRCVC5qtZpevXpx6NAhdu/eXawK4W+++Sbe3t6lGF3+LFtXxbqzF2ozowfuV6lUvNvoXQB2mexCpVJx4cKFEhunWRKqVRuDiUkV0tNvcS1sQXmH89iTZKkSOn78OB3atiW5kFtvzz//PD///AtGRkbcu3ePX3/9ld69e+Pk5MSgQYOYN29ekZ9To9HQs2fPB+576qmnmDVrFiEhIVy+fJnPP/+cNm3ayFIiQjwhVCoVbdu2Zdu2bRw7dozu3bsX2N7S0pKJEyeWUXQPp65jXZ7xfIZEXSKpTjnLpGzbtq1EFvAuCVqtOX41pwEQEbGCxKQz5RzR402SpUrmxIkTPNOhA4mFlAd47rnnWLZsGZs2baJ///44OTnxwgsvsG7dOjIyMoCcGiLFGTPQp08fIGf8UceOHfnmm2+IjIzk0KFDjB8/Xm6vCSFo0qQJGzZs4OTJk/Tq2euBbcaPH4+Dg0PZBvYQ3m70NhqVhl26XWi0Gm7dukVISEh5h5XL3r4NLs69AAMXL36IwZBV3iE9tmQ2XAkoq9lwp06don379oUmOC1btqRatWqsW7eOpKSkAtt+//33vPLKK0V6/szMTNasWUOXLl2wtX3wvX4hhPi3U6dOMWnSJDZv3gyAq6srly9ffqiil+XhmzPfUMWiCjaRNmSkZ9CqVasKtZh8ZmYch490JCsrnuo+4/H0fK28Q6pUivr5LclSCSiLZOnMmTM8/fTThU7XNTY2zu05KopOnToVa002IYR4GAcPHmTixIkMGDCA4cOHF/m47OxsNm7cSK9evaTnOh+RUb9z4cJ41GoTngrYhqlp1fIOqdKQ0gGPkXPnztGhQ4ci1TUpTqIEsGPHjmItMSKEEA+jefPm7Nq1i2HDhhXruMWLF9OnTx9atWpFcHBwKUVXubm69MXGJgCDIZ3QS5MrzLiqx4kkSxVcSEgITz/9dKklNHq9nrVr15bKuYUQ4r+K0zsUGxubOxA8KCiIhg0b8v7773OvkDGbTxqVSoVfzWmoVDru3t3D7Vi5W1DSJFmqwC5evMjTTz9NbOz9hdMelaWlJS+99BIbN25kyJAhJX5+IYR4VB999FGeWkx6vZ45c+ZQq1YtNmzYUH6BVUDm5j54eb4OwOXLn5KdXfBi6qJ4JFmqoC5fvkzLli2JiYkpsXOamZnRv39/1q5dm1sDqVu3bo9UrFIIIUrD8ePHWbp06QP3hYeH07NnT/r161eifyMrO0/PNzA18SAjI5qwsC/KO5zHSqVLlr766iu8vLwwMTEhICCAo0ePFth+zZo1+Pn5YWJiQt26ddmyJe9q0Iqi8PHHH+Pq6oqpqSkdOnTg8uXLpfkSCnX16lXatWtXtPL6hdDpdPTq1Ytff/2V27dvs3r1anr37l2hZnMIIcS/GQwG3nrrrULH3qxZswZ/f3+WL18u43TIWQqlRs3JAETcXEFyysVyjujxUamSpV9//ZUxY8YwefJkTp48Sf369enUqRO3b99+YPuDBw8yYMAAhg4dyqlTp+jVqxe9evXi3LlzuW0+++wzvvjiC7799luOHDmCubk5nTp1Ij09vaxeVh5hYWG0a9eOW7duPfQ5VCoVTz/9NEuXLiU6Opo///yTfv36VZqpukKIJ1t4eDg3b94sUtv4+HheffVVOnfuTERERClHVvE52LfF0bEziqLn0qWp5R3O40OpRJo1a6aMHDky92e9Xq+4ubkpM2fOfGD7fv36KV27ds2zLSAgQHn99dcVRVEUg8GguLi4KHPmzMndn5CQoBgbGyu//PJLvnGkp6criYmJuY+IiAgFUBITEx/l5SnXr19XvLy8FOChHo0bN1Y+//xz5ebNm48UhxBClLfk5GTl/fffV7RabZH/BlpZWSlLly5VDAZDeYdfrtLSbimnTg9VUlIul3coFV5iYmKRPr8rTc9SZmYmJ06coEOHDrnb1Go1HTp04NChQw885tChQ3naQ05doX/ah4WFER0dnaeNtbU1AQEB+Z4TYObMmVhbW+c+3N3dH+Wl5dq+fTvXr18v1jHe3t5MmjSJixcvcvz4ccaMGUOVKlVKJB4hhCgvFhYWzJ49m5MnT9KiRYsiHZOUlMSwYcPo0qXLI/XOV3YmJm40qL8Uc/Pq5R3KY6PSJEt37txBr9fj7OycZ7uzszPR0dEPPCY6OrrA9v/8tzjnBPjggw9ITEzMfZRU1++wYcNYsGBBoe1sbGx47bXX2L9/P1evXmXq1KnUrFmzRGIQQoiKpG7duuzbt48lS5ZgY2NTpGO2bt1K3bp1WbNmTekGJ54YlSZZqkiMjY2xsrLK8ygpb7/9Nl9++eV921UqFV27duX3338nKiqKxYsX07JlS6loK4R47KnVaoYNG8aFCxd47rnninRMfHw8/fr14+WXX85TfkCIh1FpkiUHBwc0Gs1900RjYmJwcXF54DEuLi4Ftv/nv8U5Z1kYOXIk33zzTe7PderU4dq1a2zatIm+ffvKTDYhxBPJxcWFNWvW8Oeff+Lq6lqkY3788Ufq169PUFBQKUcnHmeVJlnS6XQ0btyYnTt35m4zGAzs3LmTwMDABx4TGBiYpz3kjAv6p723tzcuLi552iQlJXHkyJF8z1lW3njjDZYsWULz5s0JCgrCy8urXOMRQoiKolevXpw/f57BgwcXqX14eDitW7dmypQpZGdnl3J04rFURgPOS8Tq1asVY2NjZcWKFUpISIjy2muvKTY2Nkp0dLSiKIry8ssvKxMmTMhtHxQUpGi1WmXu3LnKhQsXlMmTJytGRkZKcHBwbptZs2YpNjY2yvr165WzZ88qPXv2VLy9vZW0tLQix1XU0fQPIzs7u8TPKYQQj4uNGzcqrq6uRZ4x17JlSyU8PLy8wxYVRFE/vytVsqQoirJo0SLFw8ND0el0SrNmzZTDhw/n7mvTpo0yePDgPO1/++03pUaNGopOp1Nq166tbN68Oc9+g8GgTJo0SXF2dlaMjY2V9u3bK6GhocWKqTSTJSGEEAWLi4tTBgwYUOSEyc7O7r7PAvFkKurnt0pRpOzpo0pKSsLa2prExMQSHewthBCi6H755RfefPPNIg3onjt3LmPHji39oESFVtTP70ozZkkIIYQoyIABAwgODubpp58usF337t0ZM2ZMGUUlHgeSLAkhhHhsVK1ale3btzNr1iy0Wu19+z08PFixYoWUXRHFIsmSEEKIx4parWb8+PEEBQXh4+OTu12r1bJ69Wrs7OzKMTpRGUmyJIQQ4rHUrFkzTp06xQsvvADArFmzyr0sjKicZIB3CZAB3kIIUXEpisKWLVvo0qWL3H4TecgAbyGEEIL/Xy6quImS9CWIf0iyJIQQQvxHdnY2PXr0YNmyZeUdiqgAJFkSQggh/mPMmDFs2rSJYcOGMWbMGPR6fXmHJMqRJEtCCCHEv3zzzTcsWrQo9+f58+fTo0cPkpOTyzEqUZ4kWRJCCCH+Z8eOHYwaNeq+7Vu2bKF169bcunWrHKIS5U2SJSGEEAK4dOkSzz//fL633E6fPk1AQABnzpwp48hEeZNkSQghhAB27dpV6Lpyt27domXLlmzfvr1sghIVgiRLQgghBPDGG2+wZs0aTE1NC2yXkpJCly5d+PHHH8soMlHeJFkSQggh/ue5555j//79uLm5FdguOzubl19+mc8++0zqMT0BJFkSQggh/qVx48YcPnyYunXrFtp2/PjxjB07FoPBUAaRifIiyZIQQgjxH+7u7hw4cIDOnTsX2nb+/Pm8+uqrZGdnl0FkojxIsiSEEEI8gJWVFRs3bmT48OGFtl25ciV9+/YlLS2tDCITZU2SJSGEECIfWq2WxYsXM2XKlELbbtiwgS5dukjxyseQJEtCCCFEAVQqFR9//DFLlixBrS74Y3PPnj107Nix0BIEonKRZEkIIYQogmHDhvHnn39ibGxcYLvDhw/Trl07YmNjyygyUdokWRJCCCGKqEePHmzbtg0rK6sC250+fZq2bdsSExNTRpGJ0iTJkhBCCFEMbdq0Yc+ePTg5ORXYLiQkhLZt2xIVFVVGkYnSIsmSEEIIUUwNGzZk//79VK1atcB2Fy9epG3btrIAbyUnyZIQQgjxEGrUqMH+/fupVq1age0uXbrEiBEjyigqURokWRJCCCEekpeXF/v378ff3z/fNrVq1eK7774rw6hESZNkSQghhHgEbm5u7Nmz54HLo9SpU4fdu3fj4uJSDpGJkiLJkhBCCPGInJyc2LVrF/Xr18/dVr9+fXbv3l3oQHBR8WnLOwAhhBDiceDg4MCuXbt45plnUBSF7du3Y29vX95hiRIgyZIQQghRQuzs7NixYweKomBnZ1fe4YgSIsmSEEIIUYJsbW3LOwRRwmTMkhBCCCFEASRZEkIIIcpZSEgIiqKUdxgiH5IsCSGEEOVo3bp1NGrUiAkTJpR3KCIfkiwJIYQQ5WTFihX07duXjIwMPvvsMxYsWFDeIYkHkGRJCCGEKAfz5s3jlVdewWAw5G579913Wb16dTlGJR6k0iRLcXFxDBw4ECsrK2xsbBg6dCgpKSkFHpOens7IkSOxt7fHwsKCvn37EhMTk6eNSqW67yFvVCGEEKVFURQmTpzI2LFjH7h/0KBB7Nq1q4yjEgWpNMnSwIEDOX/+PNu3b2fTpk3s27eP1157rcBj3n33XTZu3MiaNWvYu3cvkZGR9OnT5752y5cvJyoqKvfRq1evUnoVQgghnnShoaHMmTMn3/1ZWVn07t2bc+fOlWFUoiAqpRIMv79w4QK1atXi2LFjNGnSBICtW7fSpUsXbt68iZub233HJCYm4ujoyM8//8xzzz0HwMWLF/H39+fQoUM89dRTQE7P0p9//vlICVJSUhLW1tYkJiZiZWX10OcRQgjxZFi7di3PPfdcgTPgqlatyuHDh6lSpUoZRvZkKernd6XoWTp06BA2Nja5iRJAhw4dUKvVHDly5IHHnDhxgqysLDp06JC7zc/PDw8PDw4dOpSn7ciRI3FwcKBZs2Z8//33hU7fzMjIICkpKc9DCCGEKKo+ffrw1VdfFdjm5s2bdO3aVT5jKoBKkSxFR0fftxChVqvFzs6O6OjofI/R6XTY2Njk2e7s7JznmKlTp/Lbb7+xfft2+vbty5tvvsmiRYsKjGfmzJlYW1vnPtzd3R/uhQkhhHhijRgxgokTJxbY5syZM/Tv35/s7Owyiko8SLkmSxMmTHjgAOt/Py5evFiqMUyaNIkWLVrQsGFDxo8fz/vvv1/gvWSADz74gMTExNxHREREqcYohBDi8TR16lReffXVAtts3bqVd999t4wiEg9SrmvDjR07liFDhhTYplq1ari4uHD79u0827Ozs4mLi8PFxeWBx7m4uJCZmUlCQkKe3qWYmJh8jwEICAhg2rRpZGRkYGxs/MA2xsbG+e4TQgghikqlUvHtt99y8+ZN/v7773zbffnll9SsWZO33nqrDKMT/yjXZMnR0RFHR8dC2wUGBpKQkMCJEydo3LgxALt27cJgMBAQEPDAYxo3boyRkRE7d+6kb9++QM4MhPDwcAIDA/N9rtOnT2NrayvJkBBCiDJhZGTEmjVraNWqFWfPns233dtvv42vry+dOnUqw+gEVJIxS/7+/nTu3Jnhw4dz9OhRgoKCeOutt3jhhRdyZ8LdunULPz8/jh49CoC1tTVDhw5lzJgx7N69mxMnTvDKK68QGBiYOxNu48aNLF26lHPnznHlyhW++eYbZsyYwahRo8rttQohhHjyWFlZsWXLlgJnvhkMBvr3709oaGgZRiagkiRLAD/99BN+fn60b9+eLl260LJlS7777rvc/VlZWYSGhpKampq7bf78+XTr1o2+ffvSunVrXFxcWLt2be5+IyMjvvrqKwIDA2nQoAGLFy9m3rx5TJ48uUxfmxBCCFGlShU2btyImZlZvm0SExPp3r078fHxZRiZqBR1lio6qbMkhBCipGzYsIFevXoVWMbmmWeeYcuWLWi15TqaptJ7rOosCSGEEE+KHj16FDore/v27XzwwQdlFJGQZEkIIYSoYMaMGcMrr7xSYJu5c+fy888/l1FETzZJloQQQogKRqVS8c0339C8efMC2w0bNoxTp06VUVRPLkmWhBBCiArI2NiYtWvXFrhKRFpaGr179+bu3btlGNmTR5IlIYQQooJydnZm/fr1mJqa5tvmxo0bDBw4EL1eX4aRPVkkWRJCCCEqsIYNG7J06dIC2+zatYvjx4+XUURPHkmWhBBCiAruxRdfZOzYsQ/cV6VKFfbu3Zvvihbi0UmyJIQQQlQCs2bNon379nm2tWvXjpMnTxa4jJd4dJIsCSGEEJWAVqvll19+yR3w/f777/P333/j5ORUzpE9/qT0pxBCCFFJODo68vvvvxMREZG7SLwofZIsCSGEEJVIs2bNaNasWXmH8USR23BCCCGEEAWQZEkIIYQQogCSLAkhhBBCFECSJSGEEOIxFh4ezuHDh8s7jEpNkiUhhBDiMbVmzRrq169Pnz59uHPnTnmHU2lJsiSEEEI8ZlJSUhg6dCj9+vUjISGBqKgohg4diqIo5R1apSTJkhBCCPEYOXHiBI0bN+b777/Ps33Dhg0sXry4nKKq3CRZEkIIIR4Tp06dIjAwkEuXLj1w/5gxYwgNDS3jqCo/SZaEEEKIx0SDBg3o2LFjvvvT0tJ46aWXyMrKKsOoKj9JloQQQojHhEqlYvny5bi4uOTb5vjx40ydOrUMo6r8JFkSQgghHiOOjo6sXLmywDYzZsyQcgLFIMmSEEII8Zjp2LEjo0aNyne/wWBg8ODBpKamlmFUlZckS0IIIcRjaPbs2fj7++e7/9KlS0yYMKEMI6q8JFkSQgghHkOmpqb89NNPGBkZ5dtm0aJF7Nq1qwyjqpwkWRJCCCEeUw0bNuSTTz4psM2rr75KcnJy2QRUSUmyJIQQQjzG3n//fQICAvLdf+PGDbkdVwhJloQQQojHmFarZeXKlZiYmOTb5uuvv2b37t1lGFXlIsmSEEII8ZirWbMms2bNKrDN0KFDuXfvXhlFVLlIsiSEEEI8AUaNGkWrVq3y3R8WFsakSZPKMKLKQ5IlIYQQ4gmgVqtZtmwZpqam+bZZsGCBFKt8AEmWhBBCiCeEr68vM2bMyHe/oigMHTqUjIyMMoyq4pNkSQghhHiCjB49mubNm+e7PyQkhJkzZ5ZhRBWfJEtCCCHEE+Sf23E6nS7fNjNnzuTChQtlGFXFJsmSEEII8YTx8/Nj8uTJ+e7PzMzk9ddfx2AwlGFUFZckS0IIIcQT6L333qNBgwb57t+/fz/Lli0ru4AqsEqTLMXFxTFw4ECsrKywsbFh6NChpKSkFHjMd999R9u2bbGyskKlUpGQkFAi5xVCCCEqOyMjI5YsWYJa/eBUoHv37nTs2LGMo6qYKk2yNHDgQM6fP8/27dvZtGkT+/bt47XXXivwmNTUVDp37syHH35YoucVQgghHgdNmjRh9OjReba5u7uzbt06NmzYgKenZzlFVrGoFEVRyjuIwly4cIFatWpx7NgxmjRpAsDWrVvp0qULN2/exM3NrcDj9+zZQ7t27YiPj8fGxqbEzvuPpKQkrK2tSUxMxMrK6uFepBBCCFEOUlJSqF27Nrdu3eLdd99l8uTJWFhYlHdYZaKon9+Vomfp0KFD2NjY5CY0AB06dECtVnPkyJEyP29GRgZJSUl5HkIIIURlZGFhwY8//sjJkyeZM2fOE5MoFUelSJaio6NxcnLKs02r1WJnZ0d0dHSZn3fmzJlYW1vnPtzd3R86BiGEEKK8tWrVinr16pV3GBVWuSZLEyZMQKVSFfi4ePFieYb4QB988AGJiYm5j4iIiPIOSQghhBClRFueTz527FiGDBlSYJtq1arh4uLC7du382zPzs4mLi4OFxeXh37+hz2vsbExxsbGD/28QgghhKg8yjVZcnR0xNHRsdB2gYGBJCQkcOLECRo3bgzArl27MBgMBAQEPPTzl9Z5hRBCCPH4qBRjlvz9/encuTPDhw/n6NGjBAUF8dZbb/HCCy/kzli7desWfn5+HD16NPe46OhoTp8+zZUrVwAIDg7m9OnTxMXFFfm8QgghhHiyVYpkCeCnn37Cz8+P9u3b06VLF1q2bMl3332Xuz8rK4vQ0FBSU1Nzt3377bc0bNiQ4cOHA9C6dWsaNmzIhg0binxeIYQQQvy/9PR0Dh8+XN5hlKlKUWepopM6S0IIIR53iqKwYcMG3n33XWJjY7l06RKurq7lHdYjeazqLAkhhBCi/Fy8eJFnn32WXr16ERYWRkpKChMmTCjvsMqMJEtCCCGEeKCkpCTGjRtH3bp12bZtW559P/zwQ55xwo+zcp0N9yQxGAxkZmaWdxhCPDKdTpfvwptCiMfLyZMn+fzzz/Pd/8477xAUFIRKpSrDqMqejFkqAYXd88zMzCQsLAyDwVAO0QlRstRqNd7e3uh0uvIORQhRBvr168eaNWvy3f/zzz8zYMCAMoyo5BR1zJIkSyWgoIutKArh4eFkZWXh5uYm38hFpWYwGIiMjMTIyAgPD4/H/tukEAJu3LiBn58f6enpD9zv7u7OxYsXMTMzK+PIHl1RkyW5DVfKsrOzSU1Nxc3NrVK+kYT4L0dHRyIjI8nOzsbIyKi8wxFClDJPT0/GjRvHp59++sD9ERERzJ8/n48++qiMIys70s1RyvR6PYDcshCPjX/ey/+8t4UQj7/x48cXWCZg1qxZj7SwfUUnyVIZkdsV4nEh72UhnjwWFhbMmjUr3/0pKSlMnjy5DCMqW5IsCSGEEKJQL730Uu46qg+ydOlSzp07V4YRlR1JlsRj55NPPsHZ2RmVSsW6devKO5xH4uXlxYIFC4rcfs+ePahUKhISEkotJiHEk0mtVjNv3rx89xsMhse2UKUkS6JCGDJkCCqVKvdhb29P586dOXv2bLHOc+HCBaZMmcLixYuJiori2WefLaWIH6xt27a88847JXa+Y8eO8dprrxW5ffPmzYmKisLa2rrEYhBCiH+0bt2a3r1757t/8+bN7N69uwwjKhuSLJWTadOmYWxsXOqPU6dOFTmmPn36lNjzTps2rdjXpHPnzkRFRREVFcXOnTvRarV069atWOe4evUqAD179sTFxQVjY+NixwE5CzOXFkVRyM7OLlJbR0fHYs2i1Ol0uLi4yLgiIUSpmT17doEzYd9///3Hrq6gJEvlRK/Xk5mZWeqP4pTRys7OLrHnfZiZUsbGxri4uODi4kKDBg2YMGECERERxMbG5raJiIigX79+2NjYYGdnR8+ePbl+/TqQc/ute/fuQE538T8Jg8FgYOrUqVStWhVjY2MaNGjA1q1bc895/fp1VCoVv/76K23atMHExISffvoJyLkH7+/vj4mJCX5+fnz99df5xj9kyBD27t3LwoULc3vIrl+/nntr7K+//qJx48YYGxtz4MABrl69Ss+ePXF2dsbCwoKmTZuyY8eOPOf87204lUrF0qVL6d27N2ZmZvj6+rJhw4bc/f+9DbdixQpsbGzYtm0b/v7+WFhY5Cal/8jOzmb06NHY2Nhgb2/P+PHjGTx4ML169Sr6L08I8cTw9fVlxIgR+e4/fvw4v/32WxlGVPokWRIVUkpKCj/++CPVq1fH3t4eyOnt6dSpE5aWluzfv5+goKDcD//MzEzGjRvH8uXLAXJ7qAAWLlzI559/zty5czl79iydOnWiR48eXL58Oc9zTpgwgbfffpsLFy7QqVMnfvrpJz7++GOmT5/OhQsXmDFjBpMmTWLlypUPjHnhwoUEBgYyfPjw3Od3d3fPc/5Zs2Zx4cIF6tWrR0pKCl26dGHnzp2cOnWKzp070717d8LDwwu8NlOmTKFfv36cPXuWLl26MHDgQOLi4vJtn5qayty5c1m1ahX79u0jPDyccePG5e6fPXs2P/30E8uXLycoKIikpKRKP9ZLCFG6Jk6cWGARx4kTJz5eS3wp4pElJiYqgJKYmHjfvrS0NCUkJERJS0vLs33y5MkKUOqPEydOFPl1dO/evcSed/LkycW6hoMHD1Y0Go1ibm6umJubK4Di6uqaJ/5Vq1YpNWvWVAwGQ+62jIwMxdTUVNm2bZuiKIry559/Kv99W7u5uSnTp0/Ps61p06bKm2++qSiKooSFhSmAsmDBgjxtfHx8lJ9//jnPtmnTpimBgYH5vo42bdoob7/9dp5tu3fvVgBl3bp1hVwFRaldu7ayaNGi3J89PT2V+fPn5/4MKBMnTsz9OSUlRQGUv/76K89zxcfHK4qiKMuXL1cA5cqVK7nHfPXVV4qzs3Puz87OzsqcOXNyf87OzlY8PDyUnj17PjDG/N7TQogny4wZMwr8HPjqq6/KO8RCFfT5/W/SsyQqjHbt2nH69GlOnz7N0aNH6dSpE88++yw3btwA4MyZM1y5cgVLS0ssLCywsLDAzs6O9PT03LFK/5WUlERkZCQtWrTIs71FixZcuHAhz7YmTZrk/v+9e/e4evUqQ4cOzX0uCwsLPv3003yfqzD/Pj/k9J6NGzcOf39/bGxssLCw4MKFC4X2LNWrVy/3/83NzbGysuL27dv5tjczM8PHxyf3Z1dX19z2iYmJxMTE0KxZs9z9Go2mwOnBQggB8Pbbb1OlSpV890+dOpV79+6VYUSlR5Y7ERWGubk51atXz/156dKlWFtbs2TJEj799FNSUlJo3Lhx7niif3N0dCyR5/9HSkoKAEuWLCEgICBPO41G88jnBxg3bhzbt29n7ty5VK9eHVNTU5577rlCu67/O7BSpVIVOJjyQe0VWRJSCPGIzMzM+OSTTxg+fPgD98fExLBgwYLHYhkUSZbKiUajKZMlUIozK0qr1ZZYTA+bUPybSqVCrVaTlpYGQKNGjfj1119xcnIq8F75v1lZWeHm5kZQUBBt2rTJ3R4UFJSnN+W/nJ2dcXNz49q1awwcOLDIMet0uiIPbg8KCmLIkCG503BTUlJyB6uXFWtra5ydnTl27BitW7cGciYfnDx5kgYNGpRpLEKIymfIkCHMnTuX0NDQB+6fM2cOb775Jra2tmUcWcmSZKmcTJo0iUmTJpV3GHmsXbu2XJ8/IyMjd22h+Ph4vvzyS1JSUnJnuA0cOJA5c+bQs2fP3NltN27cYO3atbz//vtUrVr1ged97733mDx5Mj4+PjRo0IDly5dz+vTpB/ZQ/duUKVMYPXo01tbWdO7cmYyMDI4fP058fDxjxox54DFeXl4cOXKE69ev594mzI+vry9r166le/fuqFQqJk2aVC7TbUeNGsXMmTOpXr06fn5+LFq0iPj4eCk/IIQolFarZfr06Tz33HMP3J+YmMicOXOYMWNGGUdWsmTMkqgwtm7diqurK66urgQEBHDs2DHWrFlD27ZtgZwu33379uHh4UGfPn3w9/dn6NChpKenF9jTNHr0aMaMGcPYsWOpW7cuW7duZcOGDfj6+hYYz7Bhw1i6dCnLly+nbt26tGnThhUrVuDt7Z3vMePGjUOj0VCrVi0cHR0LHH80b948bG1tad68Od27d6dTp040atSo4ItUCsaPH8+AAQMYNGgQgYGBWFhY0KlTJ0xMTMo8FiFE5dOnTx+aNm2a7/6FCxdW+kV2VYoMXnhkSUlJWFtbk5iYeN+Hdnp6OmFhYXh7e8uHj6gUDAYD/v7+9OvX74HFReU9LYT4rx07dvDMM8/ku3/UqFF88cUXZRhR0RT0+f1v0rMkxBPuxo0bLFmyhEuXLhEcHMyIESMICwvjxRdfLO/QhBCVRPv27XPvAvyXvb091apVK9uASpgkS0I84dRqNStWrKBp06a0aNGC4OBgduzYgb+/f3mHJoSoJFQqFdOnT8+zzdbWlunTpxMWFlaia2aWBxngLcQTzt3dnaCgoPIOQwhRyTVv3pyuXbuyf/9+xowZwzvvvPPYLOotyZIQQgghSsTXX39d6EzgykiSJSGEEEKUCA8Pj/IOoVTImCUhhBBCiAJIsiSEEEIIUQBJloQQQgghCiDJkhBCCCFEASRZEpWGoii89tpr2NnZoVKpOH36dHmHVGwqlYp169YVuf2KFSuwsbEptXiEEEIUTpIlUaEcOnQIjUZD165d79u3detWVqxYwaZNm4iKiqJOnTrFTj6Ky8vLiwULFpTY+aKionj22WeL3L5///5cunSpxJ5fCCEqglu3bjFmzBgiIyPLO5QikdIBZcjS0pLMzMzyDqPM6XQ6kpOTi9R22bJljBo1imXLlhEZGYmbm1vuvqtXr+Lq6krz5s1LPMasrCyMjIwe6li9Xo9KpUKtLvy7h4uLS7HObWpqiqmp6UPFJYQQFc2NGzeYPXs2y5YtIzMzE0VRmD9/fnmHVThFPLLExEQFUBITE+/bl5aWpoSEhChpaWmKTqdTgCfuodPpinQdk5OTFQsLC+XixYtK//79lenTp+fuGzx4cJ5zenp6Kp6envdt+8e6deuUhg0bKsbGxoq3t7fyySefKFlZWbn7AeXrr79WunfvrpiZmSmTJ0++L542bdrc91oURVGWL1+uWFtbK+vXr1f8/f0VjUajhIWFKUePHlU6dOig2NvbK1ZWVkrr1q2VEydO5DknoPz555+KoihKWFiYAih//PGH0rZtW8XU1FSpV6+ecvDgwdz2/zzXPyZPnqzUr19f+eGHHxRPT0/FyspK6d+/v5KUlJTbJikpSXnxxRcVMzMzxcXFRZk3b57Spk0b5e233y7S76Ew/35PCyFEUVy+fFl59dVXFa1Wm+dvqqmpqXL79u1yi6ugz+9/k9twosL47bff8PPzo2bNmrz00kt8//33KIoCwMKFC5k6dSpVq1YlKiqKY8eOcezYMQCWL1+euw1g//79DBo0iLfffpuQkBAWL17MihUr7lu36JNPPqF3794EBwfz6quv3hfP2rVrqVq1KlOnTiUqKoqoqKjcfampqcyePZulS5dy/vx5nJycSE5OZvDgwRw4cIDDhw/j6+tLly5dCu1V++ijjxg3bhynT5+mRo0aDBgwgOzs7HzbX716lXXr1rFp0yY2bdrE3r17mTVrVu7+MWPGEBQUxIYNG9i+fTv79+/n5MmThVx9IYQoHTdu3MDPz4/vv//+vr9taWlpLFy4sJwiK4ayyd0eb9KzVDI9S82bN1cWLFigKIqiZGVlKQ4ODsru3btz98+fPz9P75Gi5O2p+Uf79u2VGTNm5Nm2atUqxdXVNc9x77zzTqExeXp6KvPnz8+zbfny5QqgnD59usBj9Xq9YmlpqWzcuPGB8f7Ts7R06dLc/efPn1cA5cKFC7nP9d+eJTMzszw9Se+9954SEBCgKEpOr5KRkZGyZs2a3P0JCQmKmZmZ9CwJIcpNly5d8v2MsLa2LrRnp7Q8dj1LcXFxDBw4ECsrK2xsbBg6dCgpKSkFHvPdd9/Rtm1brKysUKlUJCQk3NfGy8sLlUqV5/Hvb+mibISGhnL06FEGDBgAgFarpX///ixbtqzY5zpz5gxTp07FwsIi9zF8+HCioqJITU3NbdekSZOHjlen01GvXr0822JiYhg+fDi+vr5YW1tjZWVFSkoK4eHhBZ7r3+dxdXUF4Pbt2/m29/LywtLSMs8x/7S/du0aWVlZNGvWLHe/tbU1NWvWLPqLE0KIEjZx4sR89yUmJvLNN9+UYTTFV2kGeA8cOJCoqCi2b99OVlYWr7zyCq+99ho///xzvsekpqbSuXNnOnfuzAcffJBvu6lTpzJ8+PDcn//9QSTKxrJly8jOzs4zoFtRFIyNjfnyyy+LtXJ1SkoKU6ZMoU+fPvftMzExyf1/c3Pzh47X1NQUlUqVZ9vgwYO5e/cuCxcuxNPTE2NjYwIDAwsd1P/vgeX/nNNgMBSp/T/HFNReCCHKW2BgIG3atGHv3r337dNqtdy5c6ccoiq6SpEsXbhwga1bt3Ls2LHc3oBFixbRpUsX5s6dm+cD9t/eeecdAPbs2VPg+S0tLYs1SykjI4OMjIzcn5OSkop0nE6nK/JzPE4Ke93Z2dn88MMPfP7553Ts2DHPvl69evHLL7/wxhtvPPBYIyMj9Hp9nm2NGjUiNDSU6tWrP1rg5MT+3/PnJygoiK+//pouXboAEBERUeZ/AKpVq4aRkRHHjh3LXdAyMTGRS5cu0bp16zKNRQgh/u3DDz/MkyyZmJgwbNgwxo0bh6enZzlGVrhKkSwdOnQIGxubPLdNOnTogFqt5siRI/Tu3fuRzj9r1iymTZuGh4cHL774Iu+++y5abf6XZubMmUyZMqXYz1PU6fNPmk2bNhEfH8/QoUPv60Hq27cvy5YtyzdZ8vLyYufOnbRo0QJjY2NsbW35+OOP6datGx4eHjz33HOo1WrOnDnDuXPn+PTTT4sVm5eXF/v27eOFF17A2NgYBweHfNv6+vqyatUqmjRpQlJSEu+9916ZT/u3tLRk8ODBvPfee9jZ2eHk5MTkyZNRq9X39YQJIURZeuaZZ2jcuDGXLl1i5MiRvPPOOzg7O5d3WEVSKcYsRUdH4+TklGebVqvFzs6O6OjoRzr36NGjWb16Nbt37+b1119nxowZvP/++wUe88EHH5CYmJj7iIiIeKQYnnTLli2jQ4cOD7zV1rdvX44fP87Zs2cfeOznn3/O9u3bcXd3p2HDhgB06tSJTZs28ffff9O0aVOeeuop5s+f/1DfXKZOncr169fx8fHB0dGx0NcRHx9Po0aNePnllxk9evR979uyMG/ePAIDA+nWrRsdOnSgRYsW+Pv757kFKYQQZU2lUrFq1SrCw8OZOXNmpUmUAFSK8r+52eVgwoQJzJ49u8A2Fy5cYO3ataxcuZLQ0NA8+5ycnJgyZQojRowo8Bx79uyhXbt2xMfHF7p0xPfff8/rr79OSkoKxsbGRXodSUlJWFtbk5iYiJWVVZ596enphIWF4e3tLR9Wolzcu3ePKlWq8PnnnzN06NBHPp+8p4UQj4uCPr//rVxvw40dO5YhQ4YU2KZatWq4uLjcNzsoOzubuLi4YldELkxAQADZ2dlcv35dZhCJSunUqVNcvHiRZs2akZiYyNSpUwHo2bNnOUcmhBCVU7kmS46OjoXe2oCcUfQJCQmcOHGCxo0bA7Br1y4MBgMBAQElGtPp06dRq9XlcvtEiJIyd+5cQkND0el0NG7cmP379xc43koIIUT+KsUAb39/fzp37szw4cP59ttvycrK4q233uKFF17InQl369Yt2rdvzw8//JBbYyY6Opro6GiuXLkCQHBwMJaWlnh4eGBnZ8ehQ4c4cuQI7dq1w9LSkkOHDvHuu+/y0ksvYWtrW26vV4hH0bBhQ06cOFHeYQghxGOjUgzwBvjpp5/w8/Ojffv2dOnShZYtW/Ldd9/l7s/KyiI0NDRP0cFvv/2Whg0b5tZQat26NQ0bNmTDhg0AGBsbs3r1atq0aUPt2rWZPn067777bp7zCiGEEOLJVq4DvB8XRRng7eXlJavHi8dCWloa169flwHeQohKr6gDvCtNz1JlpdFoAAqt4ixEZfHPe/mf97YQQjzuKsWYpcpMq9ViZmZGbGwsRkZGqNWSn4rKy2AwEBsbi5mZWYGFW4UQ4nEif+1KmUqlwtXVlbCwMG7cuFHe4QjxyNRqNR4eHlIRXAjxxJBkqQzodDp8fX3lVpx4LOh0OukhFUI8USRZKiNqtVoGwwohhBCVkHw9FEIIIYQogCRLQgghhBAFkGRJCCGEEKIAMmapBPxT1zMpKamcIxFCCCFEUf3zuV1YfW5JlkpAcnIyAO7u7uUciRBCCCGKKzk5GWtr63z3y3InJcBgMBAZGYmlpWWJ1p5JSkrC3d2diIiIAsuwi8LJtSwZch1LhlzHkiPXsmQ8qddRURSSk5Nxc3MrsCSK9CyVALVaTdWqVUvt/FZWVk/Um7c0ybUsGXIdS4Zcx5Ij17JkPInXsaAepX/IAG8hhBBCiAJIsiSEEEIIUQBJliowY2NjJk+ejLGxcXmHUunJtSwZch1LhlzHkiPXsmTIdSyYDPAWQgghhCiA9CwJIYQQQhRAkiUhhBBCiAJIsiSEEEIIUQBJloQQQgghCiDJUjn76quv8PLywsTEhICAAI4ePVpg+zVr1uDn54eJiQl169Zly5YtZRRpxVac63j+/Hn69u2Ll5cXKpWKBQsWlF2glUBxruWSJUto1aoVtra22Nra0qFDh0Lfw0+K4lzHtWvX0qRJE2xsbDA3N6dBgwasWrWqDKOt2Ir7d/Ifq1evRqVS0atXr9INsJIoznVcsWIFKpUqz8PExKQMo61gFFFuVq9ereh0OuX7779Xzp8/rwwfPlyxsbFRYmJiHtg+KChI0Wg0ymeffaaEhIQoEydOVIyMjJTg4OAyjrxiKe51PHr0qDJu3Djll19+UVxcXJT58+eXbcAVWHGv5Ysvvqh89dVXyqlTp5QLFy4oQ4YMUaytrZWbN2+WceQVS3Gv4+7du5W1a9cqISEhypUrV5QFCxYoGo1G2bp1axlHXvEU91r+IywsTKlSpYrSqlUrpWfPnmUTbAVW3Ou4fPlyxcrKSomKisp9REdHl3HUFYckS+WoWbNmysiRI3N/1uv1ipubmzJz5swHtu/Xr5/StWvXPNsCAgKU119/vVTjrOiKex3/zdPTU5Klf3mUa6koipKdna1YWloqK1euLK0QK4VHvY6KoigNGzZUJk6cWBrhVSoPcy2zs7OV5s2bK0uXLlUGDx4syZJS/Ou4fPlyxdrauoyiq/jkNlw5yczM5MSJE3To0CF3m1qtpkOHDhw6dOiBxxw6dChPe4BOnTrl2/5J8DDXUTxYSVzL1NRUsrKysLOzK60wK7xHvY6KorBz505CQ0Np3bp1aYZa4T3stZw6dSpOTk4MHTq0LMKs8B72OqakpODp6Ym7uzs9e/bk/PnzZRFuhSTJUjm5c+cOer0eZ2fnPNudnZ2Jjo5+4DHR0dHFav8keJjrKB6sJK7l+PHjcXNzuy+pf5I87HVMTEzEwsICnU5H165dWbRoEc8880xph1uhPcy1PHDgAMuWLWPJkiVlEWKl8DDXsWbNmnz//fesX7+eH3/8EYPBQPPmzbl582ZZhFzhaMs7ACHE42HWrFmsXr2aPXv2PNkDQR+SpaUlp0+fJiUlhZ07dzJmzBiqVatG27Ztyzu0SiM5OZmXX36ZJUuW4ODgUN7hVGqBgYEEBgbm/ty8eXP8/f1ZvHgx06ZNK8fIyockS+XEwcEBjUZDTExMnu0xMTG4uLg88BgXF5ditX8SPMx1FA/2KNdy7ty5zJo1ix07dlCvXr3SDLPCe9jrqFarqV69OgANGjTgwoULzJw584lOlop7La9evcr169fp3r177jaDwQCAVqslNDQUHx+f0g26AiqJv5NGRkY0bNiQK1eulEaIFZ7chisnOp2Oxo0bs3PnztxtBoOBnTt35snm/y0wMDBPe4Dt27fn2/5J8DDXUTzYw17Lzz77jGnTprF161aaNGlSFqFWaCX1njQYDGRkZJRGiJVGca+ln58fwcHBnD59OvfRo0cP2rVrx+nTp3F3dy/L8CuMknhP6vV6goODcXV1La0wK7byHmH+JFu9erVibGysrFixQgkJCVFee+01xcbGJnd65ssvv6xMmDAht31QUJCi1WqVuXPnKhcuXFAmT54spQOU4l/HjIwM5dSpU8qpU6cUV1dXZdy4ccqpU6eUy5cvl9dLqDCKey1nzZql6HQ65ffff88zxTg5Obm8XkKFUNzrOGPGDOXvv/9Wrl69qoSEhChz585VtFqtsmTJkvJ6CRVGca/lf8lsuBzFvY5TpkxRtm3bply9elU5ceKE8sILLygmJibK+fPny+sllCtJlsrZokWLFA8PD0Wn0ynNmjVTDh8+nLuvTZs2yuDBg/O0/+2335QaNWooOp1OqV27trJ58+YyjrhiKs51DAsLU4D7Hm3atCn7wCug4lxLT0/PB17LyZMnl33gFUxxruNHH32kVK9eXTExMVFsbW2VwMBAZfXq1eUQdcVU3L+T/ybJ0v8rznV85513cts6OzsrXbp0UU6ePFkOUVcMKkVRlPLq1RJCCCGEqOhkzJIQQgghRAEkWRJCCCGEKIAkS0IIIYQQBZBkSQghhBCiAJIsCSGEEEIUQJIlIYQQQogCSLIkhBBCCFEASZaEEEIIIQogyZIQQgghRAEkWRJCCCGEKIAkS0IIIYQQBZBkSQgh/iM2NhYXFxdmzJiRu+3gwYPodDp27txZjpEJIcqDLKQrhBAPsGXLFnr16sXBgwepWbMmDRo0oGfPnsybN6+8QxNClDFJloQQIh8jR45kx44dNGnShODgYI4dO4axsXF5hyWEKGOSLAkhRD7S0tKoU6cOERERnDhxgrp165Z3SEKIciBjloQQIh9Xr14lMjISg8HA9evXyzscIUQ5kZ4lIYR4gMzMTJo1a0aDBg2oWbMmCxYsIDg4GCcnp/IOTQhRxiRZEkKIB3jvvff4/fffOXPmDBYWFrRp0wZra2s2bdpU3qEJIcqY3IYTQoj/2LNnDwsWLGDVqlVYWVmhVqtZtWoV+/fv55tvvinv8IQQZUx6loQQQgghCiA9S0IIIYQQBZBkSQghhBCiAJIsCSGEEEIUQJIlIYQQQogCSLIkhBBCCFEASZaEEEIIIQogyZIQQgghRAEkWRJCCCGEKIAkS0IIIYQQBZBkSQghhBCiAJIsCSGEEEIU4P8A+PcKLzVvFhwAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results = {\"c\": (model.discrete_equations.ode.c.data[0], c_loc), \"v0\": (model.discrete_equations.ode.v0.data[0], v0_loc), \"theta0\": (model.discrete_equations.ode.theta0.data[0], theta0_loc)}\n", "print(\"Var\\tOrig.\\tPred.\\tTrue\")\n", "for name, (pred,true) in results.items():\n", " print(\"%s\\t%3.2f\\t%3.2f\\t%3.2f\" % (name, original[name], pred, true))\n", "\n", "plt.plot(data_results[..., 0].detach(), data_results[..., 1].detach())\n", "plt.plot(orig_traj[:,0,0], orig_traj[:,0,1], color = 'k', lw = 5, ls = '--', label = \"Before training\")\n", "plt.plot(res[:, 0, 0].detach(), res[:, 0, 1].detach(), color=\"k\", lw=5, label = \"After training\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "plt.legend(loc='best', handlelength = 4)\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "pyzag_env", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.0" } }, "nbformat": 4, "nbformat_minor": 2 }