{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Devito CFD Tutorial series\n", "\n", "The following series of notebook tutorials will demonstrate the use of Devito and it's SymPy-based API to solve a set of classic examples from Computational Fluid Dynamics (CFD). The tutorials are based on the excellent tutorial series _CFD Python: 12 steps to Navier-Stokes_ by Lorena Barba and focus on the implementation with Devito rather than pure CFD or finite difference theory. For a refresher on how to implement 2D finite difference solvers for CFD problems, please see the original tutorial series here:
\n", "http://lorenabarba.com/blog/cfd-python-12-steps-to-navier-stokes/" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example 1: Linear convection in 2D\n", "\n", "Lets start with a simple 2D convection example - step 5 in the original blog. This will already allow us to demonstrate a lot about the use of Devito's symbolic data objects and how to use them to build a simple operator directly from the symbolic notation of the equation. The governing equation we will implement in this tutorial is:\n", "\n", "$$\\frac{\\partial u}{\\partial t}+c\\frac{\\partial u}{\\partial x} + c\\frac{\\partial u}{\\partial y} = 0$$\n", "\n", "In order to implement this equation we first discretize it using forward differences in time and backward differences in space. Just as the original tutorial, we will use $u_{i,j}^n$ to denote a finite difference stencil point with $i$ and $j$ denoting spatial indices and $n$ denoting the time index. So, after re-arragning the discretized equation for the forward stencil point in time we get \n", "\n", "$$u_{i,j}^{n+1} = u_{i,j}^n-c \\frac{\\Delta t}{\\Delta x}(u_{i,j}^n-u_{i-1,j}^n)-c \\frac{\\Delta t}{\\Delta y}(u_{i,j}^n-u_{i,j-1}^n)$$\n", "\n", "Using this, we can start deriving the computational stencil for this equation. Let's first look at the original _pure Python_ implementation of the linear convection flow - but first we import our tools and define some parameters:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "dx 0.025, dy 0.025\n" ] } ], "source": [ "from examples.cfd import plot_field, init_hat\n", "import numpy as np\n", "%matplotlib inline\n", "\n", "# Some variable declarations\n", "nx = 81\n", "ny = 81\n", "nt = 100\n", "c = 1.\n", "dx = 2. / (nx - 1)\n", "dy = 2. / (ny - 1)\n", "print(\"dx %s, dy %s\" % (dx, dy))\n", "sigma = .2\n", "dt = sigma * dx" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**A small note on style:** Throughout this tutorial series we will use utility functions to plot the various 2D functions and data sets we deal with. These are all taken from the original tutorial series, but have been slightly modified for our purposes. One of the differences readers might find is that the original series uses _(y, x)_ indexing for 2d data arrays, whereas many of the examples have been adapted to use _(x, y)_ notation in our tutorials.\n", "\n", "So, let's start by creating a simple 2D function and initialising it with a \"hat function\". We will use that initialisation function a lot, so it comes from our utility scripts:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "\n", "# Create field and assign initial conditions\n", "u = np.empty((nx, ny))\n", "init_hat(field=u, dx=dx, dy=dy, value=2.)\n", "\n", "# Plot initial condition\n", "plot_field(u)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can repeat the _pure NumPy_ solve from the original tutorial, where we use NumPy array operations to speed up the computation. Note that we skip the derivation of the stencil used to implement our convection equation, as we are going to walk though this process using the Devito API later in this tutorial." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": true }, "outputs": [], "source": [ "# Repeat initialisation, so we can re-run the cell\n", "init_hat(field=u, dx=dx, dy=dy, value=2.)\n", "\n", "for n in range(nt + 1):\n", " # Copy previous result into a new buffer\n", " un = u.copy()\n", " \n", " # Update the new result with a 3-point stencil\n", " u[1:, 1:] = (un[1:, 1:] - (c * dt / dx * (un[1:, 1:] - un[1:, :-1])) -\n", " (c * dt / dy * (un[1:, 1:] - un[:-1, 1:])))\n", "\n", " # Apply boundary conditions\n", " u[0, :] = 1.\n", " u[-1, :] = 1.\n", " u[:, 0] = 1.\n", " u[:, -1] = 1." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "\n", "# A small sanity check for auto-testing\n", "assert (u[45:55, 45:55] > 1.8).all()\n", "u_ref = u.copy()\n", "\n", "plot_field(u)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hooray, the wave moved! Now, this little example is already very concise from a notational point of view and it teaches us quite a few key points about how to perform finite difference stencil computation via NumPy:\n", "* Due to the backward differencing scheme in space (more later) we use only three stencil point in this example: $u^{n}_{i, j}$, $u^{n}_{i-1, j}$ and $u^{n}_{i, j-1}$. These can be identified in the code through the array indices and correspond to `un[1:, 1:]`, `un[:-1, 1:]` and `un[1:, :-1]` respectively. \n", "* Two buffers for array data are used throughout: `un[...]` is read from, while `u[...]` is updated, where the line `un = u.copy()` performs a deep copy of the field to switch buffers between timesteps. Note that in some other finite difference tutorials the cost of this copy operation is sometimes amortised by using two pre-allocated buffers and switching the indices of them explicitly. \n", "* The final four lines within the loop code show us how to implement simple Dirichlet boundary condition by simply setting a value on the outermost rows and columns of our cartesian grid.\n", "\n", "You may have noticed that the hat has not only moved to a different location, but has also changed its shape into a smooth bump. This is a little surprising, as the correct solution of the convection equation would be movement without shape change. The smooth shape is caused by numerical diffusion, a well-known limitation of low-order finite difference schemes. We will discuss this issue and some solutions later in this tutorial." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Devito implementation\n", "Now we want to re-create the above example via a Devito operator. To do this, we can start by defining our computational grid and creating a function `u` as a symbolic `devito.TimeFunction`. The core thing to note here is that this is one of Devito's symbolic functions, which have a dual role in the creation of finite difference solvers:\n", "* They behave symbolically like `sympy.Function` objects, so that we can construct derivatives and use them in symbolic expressions, thus inheriting all the power of automated symbolic manipulation that SymPy provides.\n", "* They act as containers for user data by providing a `.data` property that wraps automatically allocated memory space in a neat NumPy array.\n", "\n", "The particular `TimeFunction` type that we will declare our variable $u$ as in this case is aware of the fact that we will want to implement a timestepping algorithm with it. So the object `u` will declare two buffers of shape `(nx, ny)` for us, as defined by the `Grid` object, and present them as `u.data[0]` and `u.data[1]`. Let's fill the initial buffer with some data and look at it:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "from devito import Grid, TimeFunction\n", "\n", "grid = Grid(shape=(nx, ny), extent=(2., 2.))\n", "u = TimeFunction(name='u', grid=grid)\n", "init_hat(field=u.data[0], dx=dx, dy=dy, value=2.)\n", "\n", "plot_field(u.data[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nice. Now we can look at deriving our 3-point stencil using the symbolic capabilities given to our function $u$ by SymPy. For this we will first construct our derivative terms in space and time. For the forward derivative in time we can easily use Devito's shorthand notation `u.dt` to denote the first derivative in time and `u.dxl` and `u.dyl` to denote the space derivatives. Note that the `l` means were using the \"left\" or backward difference here to adhere to the discretization used in the original tutorials.\n", "\n", "From the resulting terms we can then create a `sympy.Equation` object that contains the fully discretized equation, but from a neat high-level notation, as shown below." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Eq(1.0*Derivative(u(t, x, y), x) + 1.0*Derivative(u(t, x, y), y) + Derivative(u(t, x, y), t), 0)\n" ] } ], "source": [ "from devito import Eq\n", "\n", "# Specify the `interior` flag so that the stencil is only\n", "# applied to the interior of the domain.\n", "eq = Eq(u.dt + c*u.dxl + c*u.dyl, subdomain=grid.interior)\n", "\n", "print(eq)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above step resulted in a fully discretized version of our equation, which includes place-holder symbols for the spacing in time (`s`) and space (`h`). These symbols are based on an internal convention and will later be replaced when we build an operator.\n", "\n", "But before we can build an operator, we first need to change our discretized expression so that we are updating the forward stencil point in our timestepping scheme - Devito provides another short-hand notation for this: `u.forward`. For the actual symbolic reordering, SymPy comes to the rescue with the `solve` utility that we can use to re-organise our equation." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.0*(-dt*h_x*u(t, x, y) + dt*h_x*u(t, x, y - h_y) - dt*h_y*u(t, x, y) + dt*h_y*u(t, x - h_x, y) + h_x*h_y*u(t, x, y))/(h_x*h_y)\n" ] } ], "source": [ "from devito import solve\n", "\n", "stencil = solve(eq, u.forward)\n", "\n", "print(stencil)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The careful reader will note that this is now the equivalent symbolic expression to the RHS term of the NumPy code we showed earlier - only with `dx` and `dy` denoted as `h` and `dt` denoted as `s`, while `u(t, x, y)`, `u(t, x - h, y)` and `u(t, x, y - h)` denote the equivalent of $u^{n}_{i, j}$, $u^{n}_{i-1, j}$ and $u^{n}_{i, j-1}$ respectively. \n", "\n", "We can now use this stencil expression to create an operator to apply to our data object:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Operator `Kernel` run in 0.01 s\n" ] }, { "data": { "image/png": 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a+OC56HY3Bg0pqdVqKJfLuHr1KoWUECOFBBpBRAR78EehUMD29jY+//nPB37h4+WgMQEa9LZH4aCpqoqNjQ3s7Oxgbm4ODx8+xKVLl1omDYNs04uQjMfjmJ6exvT0dMvjpmk2hZuiKKhUKjg4OICqqgDQItjsIm6Y41CECU3U90EUB1MkB02kFMco7Usv101VVezs7ODKlSsUUkKMFBJoBBFy7GWMbPIRj8dhGAaXEz4vBw3gk6jo5zbPz8+Ry+VwcHCAK1eu4PXXX+8QSICza9fvs/bL6YvFYpicnMTk5GTL46ZpolardZRLqqra7I1zEm5ugw6iLBCiPHaGKCWO5KCFj6gJtG6wG4Ru1nSjkBJiWEigEUQI6bewNK/FotkYeG47iiWOZ2dnyOVyODk5wfLyMh4/foxsNtv1+YMEk4y6jysWiyGbzSKbzWJhYaH5uGVZqNfrLcKtUChAURTouo5UKtU1oIQID6IINJEcNFEEmmhuYPtNJwopIUYBCTSCCBFuF5bmKdDIQXOHZVk4OjpCLpdDpVLBjRs38NJLLyGVSvV97SBii1fQhiRJSKfTSKfTmJ+fbz7O7iTbhdvh4SEURUGj0UAikWiKNXbM1+t1JJNJmpRwQBSBJoqDFsa+rUFg1zRRBJqu676v6UYhJYQTJNAIIgR4XViat0gaNwfNyzZN08T+/j5yuRw0TcPNmzfx6NEjT46R0zb7LUQdtiRESZKQTCaRTCYdkyXtASXlchm1Wg3vvvsu4vG4Y59bOp0O9YQkzGNzgygCjRy0cMGuFaIINL/Wpxs0pIS9hgk1CikRFxJoBMERexlj+52zXsiy3ExxDBomDnlM6HgIU7flhoZhYGdnB/l8HrFYDGtra7h27dpAE5MoOWiDkEgkMDMzg5mZGQDA8fExcrkcHj161BJQUiqVUCgUUK1WIUmSo3DLZDLcJ7JRed97IYJAY58D7+PBD0RxnZhAE+EzAYLpp3PjurG5A4WUiAsJNIIImG4LS3spWZBluXmS5pHiCPCZQISxxLHRaGBrawubm5vIZDJ48cUXceXKlaEuhmHsQQsCWZYxNTWFqamplsdN00S1Wm0KN0VRcHh4CFVVYVlWszeuPaBEhAlukER9Ase+pyKIAZEctF7VIFFD13VkMhku2+7mulFIiZiQQCOIgOgX/OEFNvHkcRG3bzvoCfCg8fPD0E0s1Wo1bGxsYHt7GzMzM3jw4AHm5+d9udCJ7qA50WvssVis6Zy1v8aeLKkoCk5PT6EoCgzDQDqdbr7OLt78KFESDRFKA9snpVFGJIEm0o0SXddDd/4YJqREVVWYpolLly5RSEnICNdRRhAC4jb4wwvsgudXPbwX2NgNwwg8iY9HiWO7KKxUKsjn89jb28PCwgJee+21Zqmen9scJ4E26PdAkiRkMhlkMhlcvny5+bhlWWg0Gi0BJXt7e1AUBZqmIZVKOZZLJpPJwPchTER9H9j3NOr7was6YhSIUqrJiJrg7FcueXh4CE3TMDk52TWk5A//8A/x5MkTPHr0KNCxjzsk0AhiRHgN/vACu7PFI6yDbZtHSAnPEsdisYh8Po+joyNcu3YNb775ZsdaYX7h9P4GtQ4aL/wcuyRJSKVSSKVSmJuba/lZo9Fo6XM7OjqCoiio1+tIJBKOwi2VSvV8/6P8vjNE2oeoCxuRSjWjJmj6EUYHbRDY+cwwDCSTyZZ9ag8p+eM//mPcuHGDBFrARP8oI4iQYS9jZGVDo6jxHse10IIWaJZloVgswjAMfPe738X169fx5MkTpNPpkW53XHvQgoAlS87OzrY8rut6i3A7OzvDzs4OqtUqZFnuWMctm80ik8lE3q1hiBASYj/fRhnRBJoI+8EQUXC2X8/s3yHLslAqlTqSeInRQwKNIHygW/DHKGu4x3EttKAEmmVZ2N/fRz6fR7VaBQA8efLE1RpmfuAktkR20MIwoY7H45iensb09HTL44ZhtASUlMtl7O/vQ1XVZrJkIpGAYRg4PDxsBpZEbVIqgkATYR8A8QSaaIJGBAeN4WZ/isUiCTQOiHOUEQQH2oM/ghBmDHLQ/McwDBQKBeTzeZimibW1NSwsLOBb3/pWoP123UpIex1TUZ+YhlVcyrKMycnJjnJWliypqipOTk5QKpWwubkJRVFgWRYymUyL4xb2ZEkRxI1IfVuiJB+KJtBE259+As0wDJyfn5NA4wAJNIIYANZfxsoYWfBHkOU15KD5h6Zp2N7exubmJhKJBJ599lksLS0hFos115kJcvI3aEgIr8XLxxF7smQikcDJyQleffXVZrKkvVyyWCxCUZRmOZFTuWTQgTvtiCDQRNgHQByhCYglaNh1f5wctFKpBAAk0DggzlFGEAFgD/7I5XKoVqu4e/cul4vpuDpofm63Xq83o/KnpqZw9+5dLCwstEzy2GcbpMMzbj1oUR57O/Zkyfn5+ebjLFnSLtxYqWSj0UAymXR03JLJZCCiQwRxI4qwEWU/ALEEGrv2iLI/wMXNyV4CrVgsIh6PjywQi+gOCTSCcEG34A9d17lNashBGxxVVZHP57G7u4v5+Xk8evSo6x1C+8LcQTFuMfvjgD1Zsv1Y0zStRbidnJxga2sLtVoN8Xjc0XFLp9O+n3tEEGhR3wdArGANkWL22fV2nBy0YrGImZkZYY7HKCHOUUYQPtMv+CMej3MTSMD4Omi6rg/8+nK5jFwuh8PDQywtLeGNN97A1NRUz9fY06yCYpByRRJo/BjWfUokEpiZmelYT88wjOY6bqxUslAooFqtQpKkrsmSg0ymRHDQ7GtMRhnRHDRR9kXXdaEWbzZNE6Zp9iyvLhaLHYm3RDCQQCOINrotLN3eXxaPx4cSC8PCSyQB0XLQLMvC6ekp8vk8Tk9PsbKygsePHyObzbp6Pfvco+CgRRUSl87IsuyYLGmaJlRVbQq3SqWCw8NDqKoKy7Kaos0u3jKZTE8nQwSBJoqDJprrFFT67agRsf8M6O0IlkolzM7OCvG9ihriHGkEMSTtC0szYdbt7h9PB4v39qOQ4mhZFg4PD5HL5aCqKm7cuIH79+8jmUyOdLt+MG49aIQ3YrGYY7KkZVnNZEl7uaSqqjAMA5lMxtF1i8fjQhw75KCFD5F60HRdF2ZfgM8cwV7H2tnZWYezTwQDCTRi7GE2PxNmAFxFHI+zQAuzg2aaZjMqX9d1rK6u4vr160Pd+RxEMA0DE1teXI0oCzS6O+sPbF22bDaLy5cvNx+3LAv1er2lXLJQKEBVVWiahlQqBcuykE6nkUqlWtIpo4QILiAgVlmgaG6gaA5av/2hRar5Ic6RRhAesPeXMYHGStncXuB5lziSg9aKruvY2dnBxsYGZFnG2toarl275stEh0eJI+Btwhn1mP2oiksg/MJAkiSk02mk0+mWZEkAaDQaUBQFT58+BYBmqWS9XkcikWhx2ti/g0qW9IoozpMo+wGQgxZm+iU4Ap+VOBLBQwKNGCvaF5ZmDNL4GwYHrV6vc9t2WBy0RqOBzc1NbG1tIZvN4vbt21hcXPR1Ahl0ieMgwSRRdtAIfiSTSSSTSWQyGUxNTeHmzZsALiajrExSVVWcnp5ie3sbtVoNsiw7CrdRJEt6QaQeNBJo4WMcHbSzs7MWN54IDnGONILoQbfgD2Dw8iom0HjdPeclkoDh0xQHxb7P1WoVGxsb2NnZwezsLF5++WXMzc2N5LMI2p0aZO21KDtoIkyqo077eSwej3dNlmRlkqqqolwuN9dzYyWWTgElQQgO6kELHyKVa4rmoOm63reMuVwu49lnnw1oRIQdEmiE0LQHfwDu+svcwBrredXY8+5BazQagW83FotB0zS899572N/fx+LiIl577bWRNzHz6EEDvAu0KBN190+E99/NPsiyjKmpqY7lKUzTRLVabelzOzo6aiZLdgso8fPcSQ5a+CAHLby4cdAoZp8f4hxpBGHDXsZoF2Z+XrzZRYfXBWjcetDOzs6Qy+WgKAouXbqEt956CxMTE4Fsm0ocR0vUJ9VRfd/bGeZziMViTeFlx7Is1Gq1FuF2dnYGVVWh6zrS6bRjueQgE2GRHDSRRI0o+yKig+ZGoM3NzQU0IsIOCTRCGLotLO23MGOwvjVd1weKbh8W3g5aEILFsiwcHx8jl8uhXC5jYWEBjUYDL7300si3bSdo8cOOVy/vcZQFGiCOyIkqoyrVliQJmUwGmUymY3ssoIQJt/39fSiKAk3TkEwmHYVbIpHoOk5y0MKHaGJTlDXdgP4CzbIslMtlitnnBAk0IvK0B3+wicYgwR9ekCSJu0gS1UEzTRP7+/vI5/Oo1+tYXV3Fw4cPUalU8L3vfW9k2+0GOWiE6AR97EiShFQqhVQq1XGHXtO0loCS4+NjbG5uol6vIx6POwo3tlSACMLGNE0hSulYi4EoAk00B03TNKTT6Z7PIQeNH9E/AxBjCzv5G4bREvwxKsfMCVmWuUXt8xaHoxAshmFgd3cX+XweALC2tobl5eXmRTFoocTgIdC6Ca5uTkeUBZoIrkfU9yFMSwUkEgnMzs529L7out4SUFIsFrG7u4tqtQpZlpt/NjY2WgJKwrJfbjEMg0tVht+wc6YoombcetAsy6J10DgizpFGjA1MmJVKJRQKBTz77LO+BX94JR6Pk4PmA5qmYWtrC5ubm0ilUnj++edx5cqVjs+U1/prPMSP11TGKAs0INoljlEeOyNMAq0b8Xgc09PTmJ6ebnncMAxUq1Wsr6+j0WigUqng4OAAqqoCQEcwCfs7rG6bKCWO7Fwtwr4A4jlo/VIcWbkxCTQ+kEAjIoO9jNE0TTQaDezu7uL555/nNibeLlbUHbRardZcw2xmZgb37t3D5cuXu04Ux8VBA7wLrqgLNIIvURBo3ZBlGZOTk8hkMshms3juuecAXFwzWECJvVxSVVWYpukYUJLNZrm7JKL0bYkm0MbNQSsWiwBAKY6cEOdII4SkW/BHLBZDMpnkVl7ICEOJI4+J1bBOlqIoyOfzKBQKuHz5Ml599VVXFwEWdx/0PvMQaF6j/aMs0KIqDEQiygKNYVlWi7CJxWLIZrPIZrNYWFhoeV69Xm8RboVCAYqiQNd1pFKprgElQSCSgybLcuSPK4aIDlovgVYqlTA1NSWUKI0S9K4ToaTbwtL2/jLeC0UD/EscAT53Wwd10EqlEnK5HI6OjnD16lW8+eabmJycdP16NmkJep95lTjat9nvGI+yQAOiXyYY9UmoCALNbYqjJElIp9NIp9OYn59vPm5ZVkdAyeHhIRRFQaPRQDKZdCyXTCaTvr53ogg0UZxAxrg5aGdnZ5iZmYn8eSGqiHOkEULQvrB0r+APdmLhedLkXWYI8FlnxouDZlkWTk9PkcvlUCwWsbKygrfffrsjdtsNvEQprxLH9m32ulBGXaBFGVHe917HV0b5HGIYXDQoE/888GvdMmyKoyRJSCaTSCaTHX03mqa1BJScnJxga2sLtVoN8XjcUbil0+mBJreGYQgh0ETZD0C8RErWKtLPQZudnSWBxgkSaEQoaBdmAPoGf7ATi5vFFkdFPB7nVuLI3hseAtGNg2ZZFg4ODpDL5VCtVnHz5k08ePBgqHQyu4MWJNSDNlpoAsCfdgcto3wOAGBYJhJSHBhCnNl/HwBUJ/51qN/VjVE6T4lEAjMzMx1rQhmG0RRuiqI0w6uq1SokSXIUbplMpuc4RXHQRBM0AIRx0Ni8pV8PGvWf8UOMI42ILPYyRlae4jYmn61DxrMPjaeDxgQsj+0zweJUFmWaZjMq3zRNrK6uYmVlxZcL2yALOPsBD/EzTj1ogDguVFRh3+Vk5QEAgJ1VLsSZO0x89r1sd9vY/02YTbHmt1DjUaYpyzKmpqYwNTXV8rhpmqhWq03hpigKDg8PoaoqLMtq9sa1B5Swm18k0MIFm2eItD+yLPc8zkig8YUEGhE47QtLMwZZWJqngwVcnKwbjQbX7fNy0IDWUkNd17G9vY2NjQ0kEgk888wzuHr1qq8TDSZKyUEb/vmEv0TdBbQsC1dTP9Ty2KDizP5/Jsw0S2/7uYV45T40y4A09f1Bhtw5hhAJm1gs1nTO7FiW1ZIsqSgKTk9PoSgKDMNAOp1Go9HA3t7HHcslAAAgAElEQVQe6vV6U7xF0bkRSaCJGHjS75hiJY4EH6L3jSciS7fgD2DwyQ1vgRaPx1GtVrltf1QLRvfDXl6p63ozKn9iYgJ3797FwsLCyC5kvARa0EJ4nNZBi/qkJ6rvO8M6v4snL8Vh4rP9iEHqEFWy5Cx+DMvs+jMTJjTLQAytn3EMEkxYSEgyULkPffK9IffCfUgITyRJQiaTQSaTweXLl5uPW5aFRqMBRVHw3nvvwTRN7O3tNdeiSqVSXQNKwopIAm3cEhwBctB4QwKNGDmD9Je5ZZxLHNn2eew/u1B99NFH2N/fx9zcHB4+fIhLly6NfIIUBTeLxzajLNCA6IucKGKd34UJCympU5y100uc2f+2P0+zPjs3st9v/91MpAHwxU2LchKlJElIpVJIpVKQJAm3bt1qum+NRqOlz+3o6AiKoqBeryORSDgKN/Z7eCKSQBMtwVHTtL77Uy6Xm2sKEsEjztFGhA57GaNdmPl50eDtoIVBIAYtVs7Pz5HL5QBcnORff/11TE9PB7b9cSlxHKceNN4TyXHELs7sDCLO+j1mx4TVVaQlJBna+d2BRVqYShyHoX0/WLJku5uh63qLcDs7O8POzg6q1SpkWe5Yxy2bzSKTyQT2fRPl8wDG10FrD8UhgoMEGuEr3RaW9luYMXgLNJ7roAHBOXiWZeHs7Az5fB4nJydYWVmBLMt4/vnnO5rjR01YIu+D2Ga74OolwqIs0BhRd0CignF+BwA6xFnd0p0Fmu2xlHSxWHMvIabD1lvskP44KpE2bMx+GGgv/+9FPB7H9PR0xw0ywzBaAkrK5TL29/ehqmozWbJduGWzWd/fO3LQwotbgda+3AQRHOIcbQRX/Az+8MK4CCRe27csC0dHR8jlcqhUKrhx4wZeeuklpFIp7O/vc02QDHqbVOI4OqIkbqIOE2fAhSCz4+yetT5Wt7SL3/PpsdYu8uziDOgMC/ns8QuRVrGcQ5YSA4i0KAt8Bju3DSOWZFnG5OQkJicnO353tVptcd2Oj4+hKAosy0Imk2kRbvZkyUEwDAOJRGLg/QgTIjpo/T4bCgnhCwk0YihGEfzhhTA4aLxLHEchkliDej6fh6ZpWF1dxSuvvNJyx41nQEnQwjAKrl2UBVrUicL7Xiw/j6lPxVTNMpCWWiebbsQZw7Dtr13ktYs1OybMDpHWTZwBgAYT9fILmJr+uOtzOrYhQEkd+86PQgzYkyUXFhaaj7NkSbtwKxaLUBQFuq4jnU47lkv2m+CzVEoRENFB6xUwY1kWisUi5ubmAhwVYUeco40IlFEGf3ghDD1gIjlouq5jZ2cHGxsbiMViWFtbw/LysuPnynsNtiChddCCQQQHJIwwcVb7NLSjXZz5BRNc3X4/E2nqpy5cP1JSDOceRFoUUhz7wc5tQe6HPVlyfn6++ThLlrQLN1Yq2Wg0kEwmHYVbMpls3mASxXUS0UHLZrM9n1Mul6nEkSMk0AhP2MsYv//97yOVSuHZZ5/ldlGMx+Oo1Wpctg2IIxAbjQa2trawubmJTCaDF198EVeuXOn5ufJ00MYhJIRKHKNFWPehWH4eCUhNcebEoO6ZHc22DpqTQ8eoWA3H7fXCrUgTpQdt1K0BbrEnS7ZP1DVNaxFuJycn2NraQq1WQzwex8TEBGq1WkvPWzqdDsV+DYJoDlq/FEdN01CpVKjEkSPiHG3EyOgW/BGLxaDrOtcTLu8Sw3g83izz5DExGFag1Wo15PN57OzsYHZ2Fg8ePMD8/Lyrz3ScHDTeJY6NRgMbGxvY2dlBPB7H5ORkS58IS2aLqkBjRHX8YR13sfw8apaEhO3r3C6czi0dCSfBZNulqRgLBnG/n04iTf20HLI9JKQXKSmGumW6EmkiOGiGYURCZCYSCczMzHSk/BmGAUVRoKoq1tfXUa1W8cknn6BarUKSpK7JkmHfZ13XkUqleA/DN/qFhJRKJQCgEkeOkEAjutIe/GEXZpIkIZFIcHWvAP4CjZU88LqoyrKMer3u+XWVSgX5fB57e3tYWFjAa6+95jlOlxy00SJJEjRNw0cffYTt7W3Mzs7i9u3bME2zeefa3uCfTqdhGAby+XyLcAv7xIcYDUycTbXplfO2YBBHcdbGudlakpht6zWzu2d27CWVatt2BxFp/RDJQYsqsiw3kyW3trawurqKhYWF5nmLnbsqlQoODw+hqiosy2qKNrt4y2QyoSkrFM1B6yfQisUikskkMplMgKMi7IhztBG+wfrL7ImMTJTZ704mEglUKhVewwQQjhRHwF0i0qi272X/i8Ui8vk8jo6OcO3aNbz55psdSV9uGScHLWh3qlqt4vz8HIeHh1hYWMCrr76KmZkZaJoG0zQ7Gvyr1SpOT0/xySefQFVVHB0ddUx82h23ME0Co+56hJGa1fqenltAWvLnGLaLrXax5sSp2UC6y1pq3V9z8R03Px3yVKx/qaMIDlrUBZode8x+LBZzTJZk56/2cklVVWEYBjKZjKPrFrRYErEHrdec5ezsDLOzs8Ici1GEBBrRxCn4o1ctPG/3KgxjkCSJa1CIG5FkWRaOj4+Rz+dRKpVw/fp1PHnyZOh0LXLQ/EdVVeRyORQKBSSTSVy/fh137lzEovda/8ze7H337t3m8+1rISmKEnrhFtZSQTeESRjsl14AAExJF8KsG27cs36UPg38yPYJHqlZZodIc3LRTrt8z87NC5G2UbyN1dkPHZ8jioMmihBwsw6avUft8uXLzccty0K9Xm+WSyqKgkKhAFVVoWkaUqlUh3CbmJgY2Y1SkRw01rLSr8SR+s/4IsbRRgyFPSaf3YF0s7B0PB6HprlL4xoVvAUaGwMvgdZr26Zp4uDgALlcDvV6HTdv3sTnPvc53y5g4+agjXKblUoFuVwO+/v7WFpawptvvol8Pu/ps2p3+ewTHyfHrZtws9+lZr1urMeNcCZMwpKJM6BVnPnlnnVDtQxHkab2CCcBWkWakziLSZ+5aCfmhfjaL72ApZlWJ431Skf9OBXJQRtGbEqShHQ6jXQ63ZIsCVz05NqFGyuVrNfrSCQSLecw9m+WLDkoIjlobEmkfiWOMzMzkf8+RRkSaGOKHwtLJxIJ7uKId4oi7zE4iSTDMLC7u4uNjQ1YloXV1VWsrKz4fnHh5aDx2O6oFqoul8tYX19vlpw+fvy46YZ5Latkk7p+k9RBhBuAro6bHxdwmgT4AxNnqikjGxv9zRMNrcdnN5HGcHLRAODYMBFzcQgkYaKBGGpW5++wV31EmaiEhLjBjYM2CMlkEslksiNZUtf15rlLVVWcnp5ie3sbtVoNsiw7Cje3yZIiOWhsvtLPQaOIfb6IcbQRrvFzYemwuFfM+eN1UeNZ4mjftqZp2N7exsbGBpLJJJ599lksLS2N7H3h6aBFfaHqYrGI9fV1nJycdC05HWQdNGDwtcS6CTfTNFGr1VqE2+HhIRRFab7GL+EWJicqqqimuwmxH+WNjtv/1DHLSrKje9ZNpPXC7qIx2l00HuuHjQJRHDQ2vwjSdYrH412TJZnbpqoqyuUy9vb2msmS3QJK7J+DSA6apmmQZbnnd4U5aAQ/SKCNCaNYWDosJY7AxckzmUxyGwMvocrcu48//hjb29uYmprCvXv3cPny5ZFPVGRZ5vL5x2KxwLfrR0iIZVk4PT1FLpdDsVjEjRs38NJLL3WNbh50m36LnFgs1lW42R23SqWCg4MDqKrqu3Aj+rNfeqEpztrds1GUN7a7Z16wi7RT4+L3mBY8u2gfnN7Hnbn3AIjjoIki0OwBY7yRZRlTU1OYmppqedx+DmMCzl7ubQ8oYTeq0ul05IVav/4z4CIkhBw0vpBAE5z2mHwArvrL3JBIJJrCj9cJyx5zzwteDpqiKNja2kK1WkWlUsGjR48CPaGOUw/aMNtkIS3r6+uoVCq4efMmHjx40PeGQnvfW7/vrd1BC4JYLNYUXna8CLfJyUlks1luN1f8gnfv0wen97suDN2PU7N13HMxf46fY8MEICHb4/cxceYGu4vGRJodctDCBbs2hFnMdDuHWZbVrBpQVRXn5+cAgPfffx+GYSCdTjuWS0alBNJN6nS5XMaVK1cCGhHhRDSOJsIT3RaW9kuYMezuFa+TsCRJ3EstgxZo5XIZuVwOh4eHmJ+fRzwex6NHjwLbPoNSHHtjWRYODw+bi7Wura3hlVdecX0R9+qgBS3QujGocAOAjz76CNPT0577Q8aZC3Fmi71vc89UU0Zavvj5qXFx7CWk7sdyu2ADhhNtquks0gp6DGmpdaxuXTRGNqY1XTT7DcgoI0qKI+uli+LnIUkSMplMcw2wWq2Gg4MDvP3229A0rcVx29/fh6Io0DQNyWTSUbglEolQvQ9uHLRisYgXXnih53OI0UICTSD8CP7wQiwWa5abdSvTCgLeAi2I7bPyuHw+j7OzMywvL+Ptt9+GaZp49913R7rtboyTg+ZFLFmWhb29PeRyOWiahrW1NaysrHi+uzpMD1oY6SXcFEXBd7/7XWQyGZyfn2N/f78p3NrLJEm4taJYyRaB5gQTZoNiF21zMatveaPqIPKcxlOz5A6R1oteLhpznqJ+XIjioIkiNIHPbkLHYjGkUimkUinMzc21PIcJNybejo+Psbm5iXq9jng87ijcUqkUl+PVjUCjkBD+kEATAD+DP7wShiRH3gJtlA4ac2FyuRxUVcWNGzdw//79ZklYrVZrfuZBn+h5Omg8QkL6xXibpolCoYBcLgfTNHHr1i0sLy8PFTMtkkDrBhNuAHDjxo3msW133CqVCsrlclO4sb64cRduH5zex3ys+7nv1Ej1FW9eOTUlaJaMOdn97+3mojkxqIt2M/UdIT57UQTauKVRJhIJzM7Odqwdput6S0BJsVjE7u4uqtUqZFnuGlAyymNZ0zQSaBGABFqEGUXwh1d4iyOAf9T+KLbPJvv5fB66rnd1Yew9eEHXv4+Tg8a+U053hdmyBrlcDrFYDLdu3cK1a9eG/h6Oi0CzYx+73XFbXFxsPm6aZnPCoyhKSyIbL+HG4wbJB6f3O9yzmhVHFgZOje4VDb3KG71wasQdRVo394yJtHY3z62LVtAnAQCGLX1yQVaa/xZJ2IjgPImyH4A7x6kb8Xgc09PTmJ6ebnncMIyuJd9A67ImdhHnxzHeb38sy0KxWCSBxhkSaBHENE1omgZd11t6y3jcPQyDQOM9hng8jnq97svv0nUdOzs7yOfziMfjWFtb6znZ5ynQxqkHzUn82D+rRCKBF154AUtLS759D70ujh1lgeblPYvFYpicnMTk5GTL426FG1t8m2eJkR8olnOwil2c+e2eAYBmW4OMiS0vbpob7C4aE2YMGVZTpB0ZE9CsT0WA9hYk6f/xdRw8ME3T0wL1YUUkgTaKfZFluet5zL6sCSuXVFUVpmk6BpRks1lP139d1/u2pZRKpQ43kAgWEmgRoT344/3330c6ncZzzz3HdYIRlqj9qKc4NhoNbG5uYmtrC9lsFnfu3MHi4mLfz5b1XIzLemRsuzwdNF3Xsbm5iY2NDWQyGdef1SDb9Cq2/FgOgCfDjN2tcCuVSigUCk3h5tTjFnbh9sHpfQBJzMfU5mMnZhYTUoPLeJib1q/3bFvPYELqvF50c9HaxVk/wvyZuYWcwPAxjIPmlW7LmliWhXq93iLcCoUCFEVpCq5uASVO+9N+nrRjWRaVOIYAEmgRgIV+2BMZk8lk00HjCfWgDbf9arWKfD6P3d1dXLp0CS+//DLm5uY8fa68Yv7HyUFjE6b19XXs7u5icnIS9+/fH+l6c4OIragLtFHgVbipqgpZlj0LtyDPxe3umVtx5ld5oxOnRtxVqaJiJRxFWjvb+hTkLmEkdheNUTQzuHT7/wTwnqvxhhVRwjVEEmhh2BdJkpBOp5FOpzE/P9983LKsjoCSw8NDKIqCRqOBZDLZUS7ZaDR67s/5+TkMw+gIQiGChQRaBGCuGXNLJElCIpGAoij9XzxieIujMIxhEIF0fn6OfD6P/f19LC4u4vOf/3xHjfoot+8H4+Kg1et1bGxsALgo+3j48CEuXbo08gm5k9jqt82oCjQe5ZndhJthGC3Crb2p30m4BXk8fvfkFQBoumcnZtbxeaMub3TixExjPlbr+rNe2F20XWOq53PtJCTjszJHARDFQRNFaALBOmheYTfsk8lkh+OlaVrLuezk5ARbW1uo1Wo4Pz9HoVBonsMODg4wPT2NZ599FsViEZIkYWZmhtNeEQAJtEjgdLJOJBLcSwuB8JQ4+tUDNgheQkLOzs6Qy+VwcnKC5eVlvPXWWx2x44Nsnxw0/2Hu5s7ODubn5yFJEu7duzf05+UWrz1o7DVRFGhhQpZlTE1NYWqqVST0Em5syZEPP/ywufj25OQkksnkyIR8N2HGC8W6KKXqJdLsz+3monkRZx2v1Wexe/gEP7z4rYF/B29EST8UZT+AcDhog5BIJDAzM9MhtN59912srq5CluVm9cDv/u7v4q/+6q+QSCSwvLyM+fl5/OZv/ibu3r2L27dv45lnnhm4N/Jb3/oWvva1r+Gf//mfsbe3hz//8z/Hj//4j/d8zTe+8Q389m//Nj755BPMzMzgnXfewde+9rUW91B0SKBFAKcLfBiEEYBQOHnxeJzrGPr1wFmWhePjY+RyOZyfn+P69eu4e/cu0uned5TdMm4O2qiFoaqqyOVyKBQKWFhYwOuvv47p6Wn87d/+baCCdJwcNCD8/UO9hFs+n8fp6SmSySTOzs6ws7ODarXasv6R/c+gwo25Z+247T3b1TtdetlW9rgkVzyPyYl2kebknjmJtHV9DmnbYwYkV2WOzEWbiNWhmPzW5PQDURy0qIoaJ3iEcI0SwzAwPT3dci770z/9U9RqNXzwwQf4m7/5G3z961/HBx98gG9+85v4+OOPYRgGnnvuOdy+fRuPHz/GV77yFdfbUxQFDx48wM/+7M/iJ37iJ/o+/91338VP/dRP4Xd+53fwhS98Abu7u/jSl76EL37xi/izP/uzgfY5iohzxAmM04U8TA4a7xLHMMTsOwkV0zSxv7+PXC6HRqOB1dVVPHz40PeELp5Cqd/aYKNgVA5apVJBLpfD/v4+lpaW8Oabb7aUvwUtfigkJBrIstzsDXnmmWeaj7c7bqMUbu2cmBNYlkvYNT67c55A5zlCbutJ2zc+jbL/tJRxOV5u/qxfeWPnGPo7aUQnJNDCh5vUw6jAwuacBGc6ncbDhw+xs7ODxcVF/I//8T8AXHyWm5ub+OCDD/Dhhx96nm+98847eOedd1w//zvf+Q5WV1fx8z//8wCAtbU1/NzP/Rx+67d+y9N2ow4JtIgShnAOIBxOXhhSHO2fhWEY2NnZafYtra2tDbVgcT947T+bRAR9d9FvgVYul5HL5XB4eIhr167h8ePHyGY7y8eC7n0btMSRCB4nYdmvVLJSqTSF2/b2Nmq1Wk/h9k+nr3oak12cDYrdcVscwF3r13dmd9G6jbeXi9aN/y/CZY4iCTS26HzUEclBY3OFXjeK29dAk2UZt27dwq1bt/BjP/ZjIx/jG2+8gV/5lV/BX//1X+Odd97B4eEhvvnNb+JHf/RHR77tMCHGETeGhMVBC4NQ5O3ixeNxmKaJRqOB7e1tbG5uIpVK4fnnn8eVK1dGfrHl6aAB4JKo6IdzVywWsb6+jpOTE6ysrODtt99GJpPp+vxBBNMwOLlhbL97vYZHX6AfjIu47CXcmNumKApOT09bhFvm7sXzToxJzNvE0rmZwYR8UeK4/6nISQwREGJ0ccp2jRksyyXHn7H+s0Gxi7OalWgpc+yFiGWOooRriLIfwIWDJtK+AOi5P8VikWtAyFtvvYVvfOMb+Mmf/EnUajXouo4vfOEL+P3f/31uY+IBCbQI0K3E0TRN7mUEvMVRGMbAtv33f//3mJmZwb1790Yav94Ozx40AIFv274m2SDH/unpKdbX11EsFnHjxg289NJLrspXBik5HAYqcRwvZFnG9PR0R5qrYRj4y6P/Dcuf/n/ewcna98EtcwMTUt2EmhNFM4tZ23ptRG9EctBEETUiOWisvLHX/KTdQQuaDz74AL/wC7+AX/3VX8WP/MiPYG9vD1/96lfxpS99CX/0R3/EbVxBI8YRN4awk4WmadwFGm8nj5dAq1Qq2NjYQKFQAADcv38fV65cCXwcvASaJEncF412e+y3B7XcvHkTDx488FSCw6PEcdwEWpQZ1Q0ZWZaxnDgD0OmeucVN/1kvNLR+z3q5aXaKLpIm17XLSMdaryHtLprbsBDGRKwe2TJHkQSaCPsBiOWgaZrWV2yWSiXMzs4GNKJOfuM3fgNvvfUWvvrVrwK4mFtNTEzg7bffxq//+q/j6tWr3MYWJCTQIoDThT8Wi0GWZWia5lsa4CAwcRR0UATPMZRKJeRyORwdHeHq1at488038Q//8A8d6ykFBa+4e4BPeaVdoPXDsiwcHh5ifX0d1Wp1qKCWoB20cYvZj3KJ4yjf87/Y/2EsJy7EWTu72iVMy61BHMOUN3qBuWlu3LGgXDQR1kQTRdiQgxZO3KzpViwWsby83PM5o0RV1Y4xsmMpqte3QRDjiBtTwtCHxia6PE9gLE1wlDXvlmXh5OQE+XwexWKxo2eJZ5IkLweNbTtoccgm8v2WNtjf38f6+jo0TcPa2hpWVlaGOkbD0IPmJmY/yozTxdcL3cSZ33TrP+vFvj6Dpbj7ksf21wJAzUx0uGhu+aj+2d301eRRy8+i5qKxHlMSaOFCJAfNjUArl8u+ljhWKhU8ffq0+f98Po9/+7d/w9zcHG7cuIFf/uVfxu7uLv7kT/4EAPCFL3wBX/ziF/EHf/AHzRLHr3zlK3jttddw7do138YVdkigRYBuk66wBHQA7mzzUY9hFBcEy7JwcHCAXC6HarXatTSOZ5KkLMtoNNytg+Q3PBy0XqWVpmlib28P6+vrME0Tt27d8i1BM+gSx3HsQSNa+Yv9H24RLqy8kYmzdveMF04irb280auL1qvM0S7K7Gw0FlCzEngxVXC9nTDBzi8iiAFRBJppmjBNUygHrV8Fid8hIf/0T/+EH/zBH2z+/xd/8RcBAD/90z+Nr3/969jb28PW1lbz5z/zMz+D8/Nz/N7v/R5+6Zd+CbOzs/ihH/ohitknwonTxCsM/V+SJHFfhywWi0GSJOi67lusr2ma2N3dRT6fh2maWF1d7enA8HaxxslBAzrFkmma2NnZQT6fhyRJuHXrFq5du+brnWjqQRstUXf/ghj/IK6ZU/+ZF9r7z7rhxkmzizTmnjHcumjdxFnrc67heuKk7/PCBju/iOCgiZLiyK6tIuwL4L7E0U8H7Qd+4Ad6Xpe+/vWvdzz25S9/GV/+8pd9G0MUIYEWYcJQ4sjGwVOgSZLkW1CIruvY3t7GxsYGEokEnnnmGVy9erXvBXNcSxx5RfwzsWQYBra3t5HP55FIJPDcc89haWlpJBOcoMXPoCWOUY3ZB6Jb4jiKcf/F/g97fo3b/jMvASG9qJnDxev3/f1tLpobcZaWNNSsBLa1eVxPnESqzFEkgSaKg+Ymlj5K9BNolmWhVCpxTXEkLiCBFmHCItDC4OQNK9Dq9To2NzextbWFyclJ3L17FwsLC67vivMucRw3B02SJOzs7ODw8BDpdBp37tzB4uLiSF2MsCxU3WsfyUETi0H7sgZhkP6zdpiL1iu9sWhmBxJ2H9Uvek9kRPcGRD8Mw4AkSZH/Loy6JzxImNCM+mfC0DSt53qfAEighQQSaBHBaeIVJoEWhl64Qcagqio2Njaws7OD+fl5PHz4EJcuXfJ8MiYHLRgajQY2NzdRr9dxdnYW6JpzQbtTg/agRZmoiku/cXLP2kVNWPrP2tnXZwYWlt3KHJk488q2Ng/VTMK7F8kHkSL2AXGcQFH6z4D+Dlq9Xke1WsXc3FyAoyKcEOeoG0MSiQQUReE9DO4ljoB3gXR+fo5cLoeDgwNcuXIFb7zxBqampgbePjloo6Ver2NjYwNbW1uYnZ1FOp3G888/j4WFhZFvm8EjZn+cetCizKiX+CholzA3wPpnAJBrLPb8+XOp/a4/c9t/1s6+NoulRHGg17bz77XrSEjezm+szJHxe9s/if96/X/6Mp5RIppAE8FBEynBEegv0IrFi+8tz3XQiAtIoEUEp4t/mBw03uNw46BZloWzszPk83mcnJxgZWUFjx8/RjbbfzHVfvAWSaI6aLVaDfl8Htvb25ifn8crr7yCS5cu4Tvf+U7gQoRCQkZL1N0/v2FOUsFDMIhmxbHd+OzOtxth80l9qeX/t5KHrrY1aP/ZvnYx8ZuVnW8u2l209rEBgIGYsGWOIgk0lrYbdUR00HqlOBaLRWQyGa7r6xIXiHPUjSFhEEZsHLwdtF4OlmVZODo6Qi6XQ6VSwY0bN/DSSy8hlUr5uv1xLHEclYOmqipyuRwKhQIWFhbw+uuvY3p6uvnzoMUSwC8kxIs7E2WBBlCJIzBYOAiAFmE2DHbH7XrSexJi0ZgA4K+L5gf/c+9H8ZNX/5r3MHoiSt+WKPsBjKeDNjMzQzfMQgAJtIgQZgctDONwEkhsTax8Pg9N07C6uopXXnllJHfDeK5FJpKDVqlUkMvlsL+/37P0lIdA4+GgAd7K56Iu0IgLTo1J2NPxe5U3flK/AgAtaYd+sdG4KCFuXwDaD4rGRFcXDXB2zwYhG2tANS+WXymVSpiYmAitIyKSgybCfgBiOmj9BNrs7CwJtBAgzlE3hoSh9wu4EEeq6n4B0lGNgb0Xuq5jZ2cHGxsbiMViWFtbw/Ly8kgvGGEQSaPug3HCLwft/Pwc6+vrODw8xLVr1/DWW29hYmKi6/PHQaCx49WL4IqyQIvyhMCv794f7/4nAJOunsuEWRAMKtTaXTRW3tiP96vXkbKFhWiWPHQf2pE+hffeew+apqkcXSEAACAASURBVCGVSmFychLZbBYTExPNf/OeiIsk0ERxnURy0CzL6ivQSqUS9Z+FBBJoESHMDlpYShwrlQqePn2Kzc1NZDIZvPjii7hy5UogEz+e7wE72fIoK4nFYkM5h8ViEblcDsfHx1hZWcHbb7/dNwKYbZdHiSMvB83La6Iq0AAqcXTLQdsiz6PAQKdQ2GgsYDV55Kn/bBSljoP2oRWe/Q38p/m/gKIozT/7+/tQFAWapiGdTmNiYqLlT5DCTRTnSSSBJpKDxuYobkocCf6IcdSNKYlEorlYL8+TIW8nr1qt4uTkBMViEZqm4eWXX8bc3Fygd+R5O2gAn4vioA7a6ekp1tfXUSwWcf36dTx58sRTUzIvBy3IGyLs+PWyn1EXaER/8vVFZOV63+d5dZzcstFYwFLcWXCx/jO3OJU5PvWptNEOK3N8WruCZDKJZDLZsc5To9FoEW57e3s9hdvExITv51ty0MJHv1CNKKHrOiRJ6vnZFItFWgMtJJBAizDsLoimaVxPhrzco0qlgnw+j729PUxOTmJ6ehqvvvpq4OMA+MfsA+CyfS89aJZl4eTkBOvr6zg/P8fNmzfx4MEDJJPJkW7XL6jEcbREeex+8Dub/xkzDldke/9Zvu4cmT+K/rNebDYWcNNDuaPb0sZeDFLm6AUn4WZZFjRNaxFuhUIBiqJA13XfhZso4RoiCTTDMFxVdUQBVt7Y6+Y1lTiGBxJoEcHpCxWLxSDLcvMOHy+CTpO0l8WxfqVyuYyNjY3AxtAOz4WqWZwxD4HmxkFjKZrr6+tQVRWrq6t4+PDhUHclqcSx+2vGWeTwwo8etJn4RR/vYWMai8lyy8+6CTOeeBVp3bC7aHb3rG4mWvrQBqG9D20mruL/zv8f+L/W/l9Xr5ckqadwq1Qqvgo3URw0UYQmIFYPWr/+M+BifrWyshLQiIhekECLOLzLC4Mag2VZOD4+Ri6XQ7lc7iiLU1WVm4MF8C1x5Ln9XsLQsizs7+8jl8uh0WhgdXUV169f96Wen1eJY9Ax+8D4lDhGOSTET/qJMzfljUHhRaQd61O4HD/3bds810Njwm1ubg5zc58tb2BZVkepZLtwm5ycbPa2sXASJgBEEWii9NIB4vWg9duXUqmEe/fuBTQiohdiHHVjQLfJSxiCQlh53yguLqZp4uDgALlcDvV6HTdv3nR0X3gHlfDe/qjWIxtku2x5g1wuB8MwsLa2hpWVFV/vQsZiscDf7yisvRZlgQaMb0gIK290cs/CRr0tIISJtF79Z8d651IZdorGRN/nDIs9bn9USJKEVCqFVCrlSbhlMhlMTEyg0WhAlmWcn5+3CLeoIVKJo0gOmqZprhw0KnEMByTQIoTT5CsMi1WzL7yu6wP1EzlhGAZ2d3eRz+cBoBmV3+1EGQaBxCvq3r79oLE7aKZpYnd3F7lcDpIk4datW7h27dpI7qRGQSz5gVfXLuoCbVxh5Y3tbNfnMS1XAx6Nc4JjLzYbC5iR/V9qpb3M0W0f2vvKCgxcnIdfyO63/Kzbez1K3Aq3QqGAWq2Gf/3Xf20Rbu2pkmEXDCIJtHF00CgkJByIcdSNMWFw0GRZhiRJvgg0TdOwvb2NjY0NJJNJPPfcc1haWuo7yWc9YDwFEsDvZM5LoLHtbmxsIJ/PI5FIuP7MhmEc1kEDBnPQeDipfhD1EsdBx293z+y4FWdOASGjDNPoxlZjHjeSJz2fM+oyx/eVzt6Zj9Ul6KaMu5O7zce89KGNknbhpigKEokEbt26hUajgUqlAlVVUalUcHZ2BkVRmqEVYRZuhmEglUrxHoYviOSg9RNolmWRQAsRJNAihNNkLQwCTZKkoR2sWq2Gzc1NbG9vY2pqCvfu3cPly5ddT3rYSYeXQOK9fR4CTdd1HBwcQFVVFAoF3L59O7B158ZdoHW7ERF1By2qYx923Eychb28cVTk6wuYkmsDv95JmLXz/coy1rLDh5qMEtYmYBdu8/PzzZ9bloV6vd5SKmkXbtlstrn4tn0B7qD7wUQKCRHNQesXzkUljuFBjKNujAmDQAMGL7VUFAX5fB6FQgGXL1/Go0ePBrp7Yy+z5HEyZRdVnlH7QW1b0zRsbm5ic3MTqVQK8Xgcb7zxRuDrzoVFLI16mxQSIjZ1s/N8tV2fd3hmuAJCnHBy0dp7y7q5aOdG2lGk9StzdCPOokI/YSNJEtLpNNLptGfh5uS4jUq4iVLiaJqmUGJT13Vks9muPzdNE+VyuaUMl+AHCbSIk0gkoChK/ycGMA4vDlqpVEI+n8fh4SGWlpbwxhtvYGpq8CbxWCzGJTjCDs8+uCAEWr1ex8bGBra2tjAzM4OXX34ZiUQC//iP/xj45HpcHDTqQYsOg3wHfmfzP8N+Ge4mzMJCe0AIo2R8tk6Um1JHO/n6wsDjeV9Zhgzn412G1exDa25LXcBa9shz3H5QDBq05UW4nZ6eQlEUmKbZtVRyWOEmSooju6aK5KD12pdSqQTLsqjEMSSIcdSNCU4TgDA5aP3EiWVZOD09RS6Xa6618fbbb/u2CCTPxaIBvlH7o9x2rVZDPp/Hzs4OLl26hFdeeaV5AldVlUvP0zisg8a26VVwRVmgRXnsouA1IGQQ/OhFe19ZBgAYkLqKNEY8ZkA3L1yQD86vYTlTHGrbo8JvYeNWuFUqFZycnDTP58MKN1EcNDanEUFsAv1THIvFImKxGKanp7s+hwgOEmgRJwwpjv3GYVkWDg4OkM/noaoqbty4gQcPHviW+GgfA+8kR5EcNFVVkc/nsbu7i4WFBbz22muYmZlpeQ5zeIJevycKbpYftAu0s7MzFAoFZDKZ5npKyWSyefMmyg5alEscB33Py0YGKYeQj0H4QL0GoHtASEzqHKNpSbiTLfiyfTteXTRGtzLHdpg4E42gzqO9hFutVmtx3AYRbqIINNZ/FuVzkx03DtrMzIwwgjTqkECLEFFz0EzTRKFQQD6fh2EYWF1dxcrKysjKBXgLNJ4OXq8Fo72iKApyuRz29vZw5cqVnuWnvBZYHZcSR+banZyc4OnTpzg/P8fi4iKKxSJ2d3dRrVaRSCSak6VGowFN06BpWt9m8DASVXE5CL+W+y8t4qxutX5ebhIcc1V35YFO4ozBhB0AX8XaVmMe2Vij68+P9SmcG2lXv8veh/ahchVA733qx251NpQuGu+FqiVJQiaTQSaTweXLl5uPdxNuiqLAsqxmjxtbfFvTNCEm+SIlOAL9Q0IoICRckECLOF57v4IYh67rzaj8eDyOtbW1ka2HZYeng8W2z0ugxeNx1OvDBQicn59jfX0dh4eHuHr1Kt566y1MTHRffBb4rPQj6KSrcXHQDMPAxx9/jFqthtXVVXzuc59rjoGF0rASJTZxqtVq+Pa3v41UKtVMcrMnuok04QgTQd5l/w9lCcBF6d6gmFbneD9Qr8G0Yrg94b+r5gdMnA1DRtZQNS4mqWHrQ+Mt0LrhVbg1Gg1873vfcwwnyWQyodxHJ0RKcATcOWizs7PCOIZRR5wjbwwIu4Omqio++eQTbG1tIZvN4s6dO1hcXAzsy87bQeMpEIdx0EqlEtbX13F8fOy5L5BdaMfJzQoC5pjVajUsLS3h85//PBKJRHNhW4Ysy5ienm72DGQyGZyenuL27dstoq1QKEBRlObit3bRFpZJE00K+sOE2aj5ULlw1exCzU1ASNhwCgoJM1FLDOwm3P7u7/4O9+7dg2VZzXPQ8fFxh+MWduEmkoNmmmZfwXl2dkYOWogggRZxEolE84vH60RSrVZxcnKCYrGIy5cv4+WXX8bc3FzgEy7eISE8tz+Ie3d2dob19XWcnZ3h+vXrePLkCdJpdyVHDEmSfC2vdIuIJY4sRIeVMq6ursIwDCwtLXkqV7QsC4lEApcuXWpJ42Lijgk3FgzAJk32yRITbul0OtDvcVRLHL2O+9dy/6Xl/zu1S1hIVXq+ZqcWfLKak1Dzwm59Fssp51LC7docZhNqx+Pd+tB6uWdeg0KAcJY5htVB8wLrSc5ms46OW7VabS6+rSgKjo6OoKpqKIWbKL10gLtESipxDBck0CKE00SJfdk0TQv8RHJ+fo58Po/9/X1MTU1hZmYGr7zySqBjsBMGBy3sAs2yLJycnGB9fR3n5+e4ceMG7t+/P1RgC481yURy0JyE2cOHD5FIJHB8fOzbOmi9Fr+tVqtN0VapVJoLkMdisQ7RNjk5iUQiQY7XkBzVJ7GSPnP13E+URWTk0VdKmJbzRPi9ygpeyB74vr2ilnUUae18+KlzmIr5e34/qE/hC//r1/CXr/03X3/voIgQT8/OV07zEUmSmotpOwk3e6lkN+HGSrWDEG681lUdBZqmNW+odqNcLpNACxFiHHljTCwWgyzL0DTNs/sxKGdnZ8jlcjg5OcHy8jIeP36McrmMfD4fyPa7EQaBFtYUR8uycHR0hPX1daiq2iIChmWcHDTLsmBZli/ipJcwY3hNZRwkxdE+aVpY+Cx0wjTNljvdZ2dn2N7eRq1WawaTMNHG/j3MZCbqgs/r+Jk4c3LG7AEhnyiLww3MJz5Wr3gSaWfaxYK4vVy0YTAtaeCgEHsf2tq097TJUSGCg8auBV5uGHc7B/USbgC6Om5+nUtEctCY2Oz13pydndEaaCGCBJoABBEUwib4+Xwe5+fnuH79Ol566SWkUikAF5HsvHvh/AjKiOr2u7lYbImD9fV11Ot1rK2t4fr1677eFeTloPEQhQCGFmhuhJl9m7wWqo7FYpicnMTk5GTL47qutwi3w8NDKIqCRqOBVCrVIdq8BJNEtcTRC/byRibOupU39hJnTgEh3SL2/cKrSBsUe5njh0P23fXqQ9NNeaigFT/hsVzJKGDnZT/2w4twOzw89F24ieSgudmXcrmM1dXVYAZE9EWMI29M6HZyGWVQiGma2N/fRy6XQ6PR6DqZDEOaZBhSHHk6aPZtm6aJvb095HI5GIaBtbU1rKysjORuIE+xFOSEhn3/Bt2mF2Fm32a7+O1XxjhqkROPx1uCSRiapnUNJmkvUeLdW+I3XkX7UX2y58/LRgYHNeelLbwyTBw9AGhtZY8fq1cAAC9kD1wHhLS7aNu1uea/3ZY59mOQPrQwwb63UXdsWNDJKB3xXq4/S5Vsv4HEXuNFuBmGEcnlSpzoF7EPXPSgkYMWHkigRQynCdgoFqs2DAM7OzvY2NiAJElYXV3F8vJy14sH7/LCMIyBd0iIaZowTRO7u7vI5XIAgFu3bmF5eXmkE2FeDhoQrECzO2heaBdma2trrstLvQouHksBMIYNJtF1HfV63bcS0rDST5wB6BBnfvefOUXse+Vj9QqWUmUfRuPMuZHGTq21H6Zuxn3vQwOAn//o5/HfX/zvvv9eL7BzaNRvWvDso4vFYl2Fm91xs/fZ9hJuLPVWBNw4aCTQwgUJNAHw00HTNA1bW1vY3NxEOp3G888/j6Wlpb4Tpng8zj1NkneKI8+QEABoNBr41re+BVmW8dxzz2FpaSmQCyVvBy2s2xxGmNm3OYggDAtegklqtRqePn2KfD7vGEwyTJBNELgRlf/1w6/0fc4n5wuYTnSmGEYJ1n9mZ5BeNFVPIRvvXjY+TB9a2BBJoIXNBbSHHdnpJ9wkSUKtVoNlWdySbf2in0CzLAulUgkzMzMBjoroBQm0iOF0R90PgVar1bCxsYHt7W3MzMzg/v37mJ+fd30iYpNOnuuG8HbQeJQ4skXBc7kcTNPEiy++iCtXrgR6AeHtoAUFe0/7CSC7MKtUKkMFsgQREsIDpxKlf/mXf8HS0hKmp6ddBZOwv0XpEQEuxBkvuiU49mJdWcAzE0dDb9upzPE/KleG/r29YEEhYelDYze5ojj5txNGgdaNfsLt3//935FKpTqEW7vbFgXhpmla33NlqVTC3Nxcz+cQwSHOlW2MGab/q1KpYGNjA4VCAQsLC3j11VcHilmNxWKIxWLQdb0ZHBI0vAVakA6epmnY3NzE5uYmstksXnjhBbz//vuBizOAn4MW5MLRAJp3VLtt009hZt+miAKtG5IkuQ4myefzvgST+MEw73l7QEjU3DMvIm23PjuQEByWKCxYzcq1wzzJd0OUBFo3mHCLxWK4evVqc0mAdsft/Pwc+/v7kRBubkocS6USlTiGCBJoEcPpi55IJKAoiqffUyqVkMvlcHR0hKtXr+LNN9/smBR5JQwCibeDNmqh0mg0sLGxga2tLUxPTzcXBdd1He+//z4MwwjcUeDhoAHhWazaSZg9evTIl8/BqwiNukDrRrdgkkaj0ZLkFuZgkv/9e7+M2R5VmjzdsyjRqw9tmKAQ3n1oIiQ4AmIINEZ7RZCbUslKpYJyudwUbqwvjrdw63fzXFVV1Ot1EmghggSaALgNCWGLFOdyOZRKJVy/fh1Pnjzxbf20UYSVeN2+YRjcQgZGKRDtJaiXLl3Co0ePWk6k7CLCQ6DxcNDYdnksVs0E0CiFGYNnzH7QDPKdTSaTSCaTHcEk9Xq9pa+EBZMAn0Vw2123ICZLs8mq4+ODCDO3Eft+JzjaUfTPJnt+lDrayxzt5Y39+tD8oNjo7JkLGlEEGktxFAG311O7cFtc/GxpDLaWJDsXlctl7O3toVqttgg3di7KZrMjOxf1S3EsFi/6Q0mghQcSaALQrweNrYWVy+VQrVZx8+ZNvPzyy7433fOO2mcnUjdxsqOAOWh+CsRqtYpcLofd3V1cvnwZr732mmMTLyuN4SGUxs1BMwwDJycnIxVmjG6Cq9sxFmWBBvgTcCJJEtLpNNLpdM9gEnt5EptgtZdKejlHhqGMyQ1+JDg6wUSaU0CInf3aNJbS/qU/ug0Kef/sKgDgxZnD5mOsD20yXkdF51OazxBF2PBMcfSbYd3AbmtJtgu3UqmEQqHQFG5OpZKpVGqoc0y/EsdSqYSJiQlhlhUQARJoEaNbiaOTQGOR6/l8HqZpYm1tDcvLyyNzWMJQYgjwW7skHo/DsixfBJqiKMjlctjb28Pi4iLeeOMNTE31XheJV4rkuDho7LN9//33Ua/XRyrMGOPWgzZKeq2dZO9vaw8maRdtTsEk/d7zfuWNvfA7Yn+UrCsLmEt2L7cvVPv3N/sZDvLvn4oyOx+VFmGYMdy9tO/bdvxAFAdNlBJHtmzNKM7vPIRbP4F2dnaGmZmZyNxoGgdIoAlAu3Ol63ozKj+RSOCZZ57B1atXR37y513iKEkS98WigYv3f1B38vz8HLlcDgcHB7h69Sreeuutjnr3Xtvn5aDxeM+DEmisNPjp06fQNA2Li4u4fft2IKWk49SDxmvs3SZLuq639Ld1CyaZnJx0lZAGAPvVKSxlzpv/3zy/hJlUtEJBRkmxj/vmBtaH1i7OYrBg2oJCvn+2hFvTJy3P+cL/+jX85Wv/begxDIIozpMoAo1dS4Pcl37CrVKpQFXVpnBTVRWyLLsSbv3OUaVSCbOzsyTQQgQJtIjRy0Gr1+vY3NzE1tYWJicncffuXSwsLAT2heNd4gjwdfHYxXUQkWQPbVleXsbjx4+RzXqbrJCD5i92YaYoClZXV9FoNHD16tXA+vzGSaCFjXg8jpmZmY6SYnswSaVSwe7uLsrlMizLwvHxcUepZCaT6dp/FhZx5mey4oYyj9WJk57P8Vrm2N6H1iso5IOzpb6/T46ZMMwYcuX5DpHGC5EcNBHK5HRdh/T/s/fmQXLb99nnA/R9zMGZ4ZCcizNDSpTES6QoUQdFy7mV63W0WbvWtYnfaB2vK8ebLe/rWqu2ymvFXm8q9ps4W1kncexYqziJq5xYcVJvrWMniiVLPjbSmopkSWZP9/Tc9zS6B32jgf1j+Guiu4FuoBvAD0DjU8WSOOyZH9CDBvDg+X6fL8PY4neiJtxqtVqD48ZxHNbW1lAsFluEW7VahSiKqhU+HMd1leDtYR6eQHMBgiBAFEW88MILGB0dbQmQsAraDhrZBloCjWEY3etnMhkkk0lkMhlMTU31FNpCSyi5rQdNSZhduXIFfr8fm5ublg/H1vM7dbJAc8qTW6VgkjfffBN+vx+jo6P1Usnd3V3k83n8l+gLOKlQnazknjktYt9oUvwo4oGK7u8jfWhaxFkzP8qM48yRw760I2FlIW0FbhFobumlIwmOdj4v+Xw+DAwMtLQ/NAu3TCYDSZLwgx/8AH6/vx5O8vzzz2NychL33nsvMpmMJ9BshifQHIb8ZJHL5bC4uIitrS0AwOXLl+vzOmjg9/tRKBQ6v9DkbaDdB9fphpqk/yWTSWSzWZw8eRLnz5/veX5cPzpoRq7bTpgRrBZAzeuRWWxaX+80nLrt5OHM6OhoSzDJ5//9nwAcljcazVvcYb+Wn9X30OCeod76r/IdAjWUXDQt/We90I04A4CAr4YfZcYxOZA1eIv04RZh46YSR6fuR7Nwq1QqeOmll3Dt2rWGhNt//ud/xptvvonNzU1EIhHE43F84AMfwD333IOzZ8/i7NmzOHHiRFci9cUXX8SnPvUpvPrqq9jY2MBzzz2Hd73rXW2/p1wu43d/93fxpS99CZubmzhx4gQ++tGP4sknn+zqfXA6nkBzGOTmPpVKYX9/H1NTU7h27RpefvllagOiCbTFkR22oV0/liRJ2NnZQSqVQj6fx8mTJ3Hp0iXDykFo9qA52UHTIsyMXlMrXomjsyE3NkSckf6zpYPuKxwSud4fwr2ZbRQzdw1ut7ymXcS+GrmqdvffyDTHNzIn4GeM+VzS6kNzi4Pmll46LYOdnYIgCGBZtu7+E+H23HPPAQB4nsdTTz2F1dVVjI6O4vnnn8cf//EfI5VKYWhoCGfPnsVHPvIR/PzP/7zmNfP5PC5evIgnn3wSTzzxhKbvefe7342trS184QtfwOnTp7GxsUHl3sIuuOPo6yOq1Spee+01TE5ONrguduj/6hT3bwU0Q0KA27PY5MjHHJRKJczOzmJmZsbwk38/Omi9nLz1CDOj1tRLP6U42rmUqBdKte4/5/IEx7ezh/OVfAYJETlvZg+duHuGtgz7mVp60eSk+EPnka8GFcsc1frQ3lBIalSjOSjETrhF2DjZeZLjlv0AOotNEnT04IMP4hOf+ET964VCAW+//TbefPNNnDx5Uteajz/+OB5//HHNr//617+OF154AalUCiMjIwCA2dlZXWu6DU+gOYxQKIR3vOMdLSdyO4gj2u4V2QYaYoEgF0miKGJzcxOpVArVahXz8/OYmpoy7aRPy8lymoPWjTAjWC2A+mlQNeDcEke1xvv//rWnIL/M6nXOirUAlnjr+onNEGp2hQSFENYOhjA5kKXWh+YmB80NwsZNDpqWlFmS4ignGo3i8uXLuHz5spmbBwD4h3/4B1y5cgW///u/j7/8y79ELBbDL/7iL+LjH/84IpGI6evbEXccfX2Gz+druZHp94AOu2wD+T2srq4ilUpBkiTMz89jcnLS9Isvzbh7J5RW9iLMCE5w0AB1weBhH7QkOFohzpQGV7+ZPYaayOKu4d6EWicXrdcyR7l7JkisYWWONHCLQPN66eyHFrHJcRyVcDlCKpXCSy+9hHA4jOeeew67u7v4jd/4Dezt7eGLX/wite2iiSfQXIIdHDQ7lFnSFKq1Wg2lUgmJRAKhUMiy+XMEz0FTplmYzc3NdV1i6oQeNMCZAs1p22s08gTHBHc4SDvop3s+fZs71rNIA8wJCHk7cww+neEonVg7GEI0UKHSh+YJG3vhJgdNy74oOWhWIooiGIbBX/3VX9VHm/zBH/wBfvmXfxmf/exn+9JFc8fR12coPVW3g0Aj7hXNm0O/349i0doSFUEQsLKygnQ6jVqthtHRUdx7772WvwdeD1ojRgozAu0URy2vB5xdKugWfuH/fRpAGKFbIqssaDvuiDizC80irVOCYzPp/CiCrPr5YbM0iILQGJSktQ/NKAK+Gqo1uqJCFEVXzA9zi0Bzy34AnQWaJEngOK7e+0WDEydOYHJysmHu5N133w1JkrC6uoo77riD2rbRwhNoLsEu7pUkSajVatSePFlZ4litVrG8vIx0Oo1oNIqzZ89id3cXLMtSEag+nw+Viv4ZQkasaycHzQxh1mlNs+imBw1wptBxsoOm9lAqpMMBy1XD2MobH8XfDfLeLECbk6YnwbFX3s4c9srVRFa3i2bXoBA3OWhuKNUUBIF6MrZRCILQUfxns1mqJY6PPPIIvvKVr4Dn+fpA7ps3b4JlWUxNTVHbLpp4As2BKN0IBAIB5PN5CltzG3IDTLM0wIo+rEqlgnQ6jeXlZQwMDODixYsYHR0FwzDgOI6ak0nbQbPaOWVZtuG9liQJu7u7WFhYQKFQMFSYydd0Sg+ah7PQIs6UEhz1zkDrlre5Y5iOc5as1XY7bokzI2gOCgGA/UIUI1Hr53m6oQdNFEVIkuQaoemG/QA635PVajUcHBwYWuLI8zwWFhbqf19cXMSNGzcwMjKCmZkZPPXUU1hbW8Ozzz4LAHjve9+Lj3/84/i1X/s1PP3009jd3cWHP/xhPPnkk31Z3gh4As012CEkhGVZ+Hw+VKtVhMPWPU2VY2aKY6lUQjqdxsrKCo4cOYLLly+3lAT4fD7LSyzla9MK6wCs73siYskKYUagUeLYLAg7Dap2Mv0qLNPcEUQCdCsgtLDCD3cl0jYKAzgRPVD8t/X8IIZDredMtTLHdjg5KMQNzhO5/rhB2NCsBDKaTvdkHHf4mTayxPGVV17BO9/5zvrfP/ShDwEA3ve+9+GZZ57BxsYGlpeX6/8ej8fxzW9+E7/927+NK1euYHR0FO9+97sbYv/7DXccfX2GmoNGW6AB9khRNHr9YrGIxcVFrK6uYmxsDA888EBDnXTz+rRi/mk6aID1T4AZhkGxWMT3vvc904UZwStxNA+ni0s5h/1nt9nIDep2ZWgHhKixkB3D6aFdza/fK0WNW5sbRdBn7jkufEsoWx0UNv6WyQAAIABJREFU4hYHDXCHQBMEwRX7AXR20LLZLPx+P2KxmGFrPvbYY22vQ88880zL1+666y5885vfNGwbnI4n0FyCHXrQ7LAdRgq0fD6PxcVFrK+vY3x8HA899BAGBtqXIdESSTTXJhcxq544EsdsZWUF5XIZd9xxh+nCjKA3VdGI9ZovclocNCcKNMDZ261HYMoj9tMcvb6PbtEr0jrBlSOKLpoSlZrPFJEmDwqhUeboBoFGXEA3PGxxk4PWSaBlMhkMDw87/vhzG+44+jxs5aDR3A4jBBrP80gmk9ja2sLx48fx8MMP15tWrVi/W2gJNHIxNnvt5lLGI0eOQBRFzM/Pm7quHKsTK7vtQaMR2uLRCAkI2cgNqr6GtjhTmoGmFb0irV2Zo6b1uFHFr7slKMQNISFuKNMk9JuDRjNi30MZT6A5EKWnU7SFkXw7aDtooih29TQyl8shmUxiZ2cHk5OTuHbtGqJRfeU5NB00WnH3DMOYmuSo1mO2ubmJjY0NU9ZUww5z0DoJNqv75IzCDU/d1Wh2Y7LlMDLF243vTug/A4ByrfGWgYg0sxIcu+lDcypucdDcImrc5qC1S3HkOA5DQ0OuPgc7EXccfR4IBAIQRZH6CZJ2iSPZd0EQEAwGNX1PJpNBKpXC3t4epqencf369a5DTqxIkVSDZv+bGeKwU/gHDUFqhxJHoL1Ic/JF1onCkkDed3n/WTv3zC3oEWfNLtp6Xtv7o+aeGYFSkiNwWOb48L9+Gt955382bW05bnCfaN9/GEk/OWikxNHDXngCzYGohYQAh2k9NE8qtJ08rQJNkiTs7+8jmUwim81iZmYG586d63nuidtEklaMdNC0pjJa7WaRNa0UEd2s51QHzck0v9/7hShODOZUXy93z3rBjIh9JbHSju1CHONRvud11frQ+Kq2B20EpyY5eg6afSDpwG5w0Gq1GkRRbLsvuVzOE2g2xPlHnwcAe0TcA/RLHBmGaSuSyM1/MpkEz/OYnZ3Fvffeq9lt64QdQkKsjrsHjBGHeuPyaQk0OzhoRn+PHXDqdquh5p6tc0OIhPSX7SnNQLM7RiY4yjE7KCQcEFCqWnt75Ak0+0DuYdy0L+0EGsdxVIdUeyjjCTQHonbzTbu8kGxDqVTq/EITURKJkiRhe3sbyWQSpVIJs7OzuHLliuFPyIiTRONiS2seGVm7W+HSLMzm5+cxPT3d8XdDQ6DRmIPWLwLNDdz3jc8gHOxdlNg1Yl+NpewRnBzKaHqt3rCQTQ0DvLsJCrEbbhBobgg6AQ6FJsMwjv99AIcCjWXZtvvCcRzGxsYs3CoPLXgCzaEo3YTZIcmRtoPWvA2iKGJzcxOpVArVahVzc3OYnp427SJCRAWNfoJu+u+Mohux1K0wI5gZTKKGHUJCOolvT6DRgWEYhIPtz7/dumdOQI9IA5T7z5TKHCtVP4ImhKhoSXJkGAlvvPEGYrEY4vE4YrEYIpGI4Q/AJEmCJEmOFzdu6KMDbvefObmfl9Cp/ww4THE8ffq0RVvkoRVPoLkI2v1fdtuG1dVVpFIpSJKEubk5TE1NmX7xkM8Ea5eaZObaNCLW9ZR29irMCP1Q4thPPWhO3W6gfbiJ1fO0tNJLxL6cYlX/eW6j0NkVs4LV7cOyrhNjWdXXfGDn6/hz5nHs7Owgn8+DYRjEYrEG0RaPxxEMBru+oSfnFKeLG7eUOPZTgiPglTjaFXccgR4A7OGg0S6zrNVqqFareOuttxAIBHDq1CmcOHHCsgsfiZyn8R6Qkgwaa2vpQTNKmMnXpFHiSLsHzXPQnMk6N6T4dadG7Cuh10XrxHKXc+LaBYWs7Iy0fG1jdwiSyODoqHLp5dmzZwEcCqlisYh8Pg+e55HNZrG+vo5CoQC/398g2sj/a3lQ5wk0e+GmBMdqtarJQfMEmv3wBJpD8UocGxEEASsrK0in06jVajh69CguXLhApUSBdlAILQdNbV25MCsWi/Uy016fUPZDimM3gtCpAs3p5UT/XepvAJWSOTVx5mbMCggh6A0KURJmzezsDdRFmlJQCMuydfE1Pj5e/3qtVkOhUADP88jn89jb28PS0hLK5TKCwWCL2xaLxRoEALleeALNHrjNQWu3L5IkeYOqbYo7jkAPAPTdK8D6EsdqtYrl5WWk02lEIhGcPXsWm5ubpvQJaIXmLDRa4lDJQTNLmMnXJHHIVv2u7ZLi2G5/nSrQAGfPQZNUSgadJM70RuwrocVF2+ejOBJrjdQHuu9DaxcUokWcEeQiTSs+nw8DAwMYGGgs3RQEoe625fN5bG5uIp/P19OWiVgjLhuNgCcjEUXR8v5nM3CTg6a1B21kRPtnxMMaPIHmUNRmoeXzeQpb07gNVkS9VyoVLC0tYWlpCQMDA7h48SJGR0fBMAz29vaoOVgA3VlotASa3EGTJAk7OztYWFhAqVQyXJgRyNNmK29qrC5x7GYfnSzQ3AB/EEZ8wNwk25XdI1A6HBhG+fd+cmzf1O1pRot7lslHVEUa0H15Y8vP2R5RfK8AgGEApY/K9vYgBo8Ubr2m+8+S3+/H0NAQhoZui3RJklCtVuuijed57O7uAgBeeOEFRKPRlh43mg8c9eA5aPZDi4PGcZznoNkQdxyBHgDsE9ABaGtM7YZyuYx0Oo3l5WUMDw/j8uXLLU9+/H4/yuWy4WtrhXaJIy0HTRAEbG9vmy7M5GsC1sZT0yhxBPpDoDnhBlQN+ftthjhb3+vNhVvabTxHmi3Y+HII8VD352Cu3Psg7+Xt2/ssSVAVaVp4+F8/je+88z/3vE3A4XEeDAYxMjJSv3blcjm89tpruHLlSoPjZmYwiRm4LcXRDXS6F+N5HoIgeA6aDfEEmkNRc9BoCzRyUqtWq4YKtGKxiMXFRayurmJ0dBT333+/6hMfv99P1UmkOWqAhkCTJAnlchmZTAYbGxumCzOCXKBZBY0SR0CfCHWqQAOcW+L45Na/IqxQ2ZXLRBGM3T4na4nYl89AW9s5dJEYg2d8Le2O1EsyZyx216xgffvWtUGHdmFYCZJ4+xtymWjdRSuVzU3kJfPDIpEIIpFIw0wqpWCStbU1FIvFnoJJzMBz0OyHIAiIRtUd7Wz2MMHUc9DshzuOQA8A9uhBYxjG0O0oFApIpVJYX1/H+Pg4HnzwQQwOts7PkUOzB4ys3w8OmryUMZ/PIxaL4YEHHrDswkZDoFktfuQljlpxqkCzkxPQLc3ljXJxppWK4MdOxroY+uVb7lo3Qq1dxP52dgDjQ/p6uerfyw0gHOr83ikFhdTFmQHIRZqZtHOetAaT7O7uNgSTNIu25mASs/bDDQJNEASEQiHam2EInVIcOY7DwMCAawSpm/B+Iw7Frg4aYIyDxPM8UqkUNjc3cfz4cTz88MOIx+OWrd8LbhdoSj1mtVoN+Xze0pM8wzBUesJoOGhywSWKIkqlkmpfilMFmpPpNKBaK1s7g2D95v/ulAJNlndHIEnA1CjX8m9aIvblFErqQRH7/O2n+Z360OSYNbBaCcYnQapZ98CgmzJttWCSarWKfD5f/7O5uVkvY5MHk5D/RqNRw8oSiRPodNzmoHUSaJ57Zk/ccQR6ALBHDxrZjm4FUi6XQzKZxM7ODiYmJnDt2rW29rzR6xuBW0sc24V/pNNpKvH+WuavGQmNOWjA4XsviiJWV1eRTCZRLpfh8/nqN1rymy4nCzQnbvd93/iMpvJGJeQz0LZ22lcGWMXq3rCiSOuGXly0bljbOtJTqIcSxVti8/LX/wj/38/8jqE/m2BkH20gEMDw8HDDTbckSahUKnXRxvM8VlZWkM/nIYpiPZhE7rp1E0ziJgfNDfsBaBNoQ0NDrqhgcBueQHMRgUAAoihSP0l2IxQ5jkMymcTe3h6mp6fx6KOPIhLprlGcZooiQNdBM0OwKAmzmZmZhmOMZjiJ1Q4ajZCQ9fV1LC8vg2VZnDlzBsPDwyiVSuB5HjzPN8xdYhimnhJHxJuRT8nNwsnCEjgsb+wGuwgz+Vu/und4c2+UULOCzZ32QSpqQSFqSY6ESi6I4GDn3sFeMDvoiGEYhEIhhEKhhjAISZJQKpUagkm2trZQKBTqwSTNpZLtgklo33sYRT85aN6QavvijiOwD1ErcQQOSxxoniS19qBJkoRMJoNkMgmO4zAzM4Nz5871XPttBweNVoqkkUJJizAjWO1kydelIdCsiPaXJAmbm5sAgKWlJdxxxx04ceIEgMMxE0R8yalWq/jBD36AWCwGQRCwurra8JS82W0LhUK2enLqZIEG3E5wzGW0uf7Fqr0vwat7wzg6zJu6RnOZ4zZ3WLJXKgc096Ht72srf+9Ec1CIVdAqDWQYpm0wCRFt7YJJ5LPcvBRHeyFJkmYHzcN+2Pvq4KELlmXh8/nqQzBp0UkgkQHGyWQSPM/j5MmTuHjxomEDLsn6tIZ+0u5Bq1R6e9qrR5jJ16VV4khjLpmZN1SSJGF7exuJRAKCIIBhGNx33331XpN2+xsIBBAKhTA8PIzJycn6z5O7bQcHB9jY2EChUIDf72+40SL/75anx1bRrXuW4zoLOaUERytPaztcvCeRZnWZYwMSdCU50sLKUSFakAeTyCG9xuRPczCJKIpYWVnB0NBQ/fudKHTc4qCJoghJktqmenIc5zloNsX5R2CfoiY87JDkqFbiSG48k8kkisUiZmdncd999xkeCez3++s9OzQuDjRTJHsRh90IMwItB81qYagU2mEU5MFFIpFAqVTCqVOnMDU1heeff17Xg4bmUkH5U/KjR4/Wvy5PgeN5Htvb21hcXESlUqmHCcjFWyQSMb0My2nc943PQCg3fj7U3LPmiP3sbhyM37hj1+jeKzlbu4M4NpZr+Fq7BEezUAoK2dsZAOMzb9+ZgGh6maNTnCefz4fBwcGWJOVqtVqf5SZJEjY2NurBJJFIpCVN0u4l125x0Mh9SLt9yWazXkiITfEEmoNR6tmwQ1BIIBBoKPEjpVrJZBLVahVzc3OYmpoy7QmVfFg2jZMszR64bgRLszCbn5/H9PS0rveuHx00I9nb20MikUA+n8f8/HyDMNbbm6X19WopcJVKpV7aRPrbyFxB+Y0W+WOU8w04v8RRLs7aBYRkd5VL8qxIcOwWJZGmFeKiyRMc5ZAyR1Le2AuSxBgiVpWSHM0KCrGbg6aXQCBQP4+cOXOmXgpOgknI+aRdMEk8Hkc4HKb+oEaSJNc4aKTdpd2xlc1mceedd1q4VR5acf4R6NGAHaL2yaBoURSxvr6OVCoFURQxPz+PyclJ00UTy7JgGIbaLBPaJY5a3TsjhBmhn3rQAOMEWiaTQSKRQC6Xw9zcHK5cudJyY6A3ObLXsI1gMIiRkZGWMAHSk8LzPDiOq/ekBAKBFrfNqaVNVqAmzuyKKNy+udMi0tpF7BvN3o518+LMxOkCDTh0AcnoE6BzMAkRbe2CSch/2wWTGA0pC3TD+atT/xngOWh2xhNoDkbpRswOAo1lWRwcHODFF18Ey7KYn5/HxMSEpRcg2i4WzRLHTjfzRgozPeuagR3mknVDNptFIpFAJpPB7OwsLl26pFrq201ypNFOFMMwiEajiEajDcNyBUFoeEIun7kkf0JObrTaRXc7McWxkg+A1VimWCwHUTmwTryooTQDTQ/dOmlq7hkhk29N7dUaFKKVbpMcAXPTHN0i0MjD0XaolVyLoohCoVAXbfKHQPJe2eZgEjP2A4ArHDQtAs2bg2ZfnH8EejRAU6CR1LhkMolarYbz58/j+PHjVEoWaCY50haHamubIcwIVgslmuv2subBwQEWFhaws7ODmZkZXLhwoWOJoFkljkbg9/sxNDTUkAJGSpuI28bzPHZ2dpDP5+vhA83BJGbcaJnN+ef+r4a/y50mJZrFmZH9Z1aztTuIwSFtA6YJQs0Hv6/38yLpQ5O7Z1KNUe9D0xkU0i7JsVow5zgVRdHQUmEa9Bqxz7KsYjKtPJiE5/mGYJJQKNQi2np170kwk9MFM6BdoHkhIfbEE2gug0ZIiCAIWFpawtLSEsLhMGZmZrCxsVGPBKeBW4dFd7O2mcKseV2rkzNpCLRuhlXzPI+FhQVsb29jamoK169f15y0qrae2ntN24mSlzaNjo7Wv06ekBO3bX9/H8vLy/UbLZZlwbIsNjc3HTO7zS3Ywbgs5CIIRLQ9XKxQHE9w/qufxetP/IahP9MtDpoZZYHtgknk7r1SMEk3IUdu6T8DDu/N2j38kiQJ2Wy2oQTVwz644yjsU9RmoZGGfrOpVCp1YRaPx3H+/HmMjY0hm81iZWXFkm1Qww4OGo2Yf7lAs0KYEciFrx8Emp6Sw0KhgGQyiY2NDUxMTHQ1gN3ODpoe1J6QkxutpaUlFAoFrK2tgef5htltcrfNTrPbtJY3VnYjQIjOQxuz4PbiGB7VHr9fyQfgHzTmPcjtxto6kEYFhRCYgAipap6AckqKYzusHlIdCAQwPDzcUJ6nFExCQo4kSWo4n6gFk7glwRHwetCcjifQXIYVKY7lchnpdBrLy8sYHh7G5cuXceTIkfpJjvagaNrbQE7uNJ7Ekf63ra0tJJNJlMtlzM3NmSbM5OsC1t9o2LXEsVQqIZlMYm1tDcePH8e1a9cQjWobXqy0nh7B1U3PGk3IjVYmk0EgEMA999zTEiTA8zw2NzdRLBbh8/lakiTtPLutsqtPkHfCJtoUgH6RVsiFER0s6VrD6D40PTQnOUoCA8aEpE3PQTMGrcEkPM/Xg0nkM99isVj9GkZrjqqRVKvVtudF8nDMK3G0J/a8onloQs1BM0uglUolLC4uYmVlBaOjo7j//vsVn7wEAgGIokj1okM7qAPQ9vTKSCRJAsdxEAQBb775piXCjEB+z7VazdJ+IruVOJbLZaRSKaysrGB8fBwPP/xwi2PUzXq0Q0KsQH4+0zq7bWdnp2V2m1y8mTW7raX/jAsC8dvnm5aI/S7dM6Uh1YqvM3EGmhKioHxOsSLBMbcb6/wih+EGgWbnfdASTELSabPZLKrVKl566SXF/jYn9ct2SrLmOA4APIFmUzyB5jLM6EErFApIpVJYX1/H0aNH8eCDD7bUg8shoqRarVKJuSfbQKsPjPTSWLW+fAB4qXT4dPrRRx+1VByS9C4abpbVv2clh6pSqWBxcRHLy8sYHR3t+BnRQ/P7qiUlzYkCDegsLLXOblteXq6XepOyJrl4syq2W497ZucZaO3Q66K1o1oMaO5DkwS2ocyxbVCI/Pt6SHI0CzuLG63YwUHTi7zs+tixYwCAtbU17OzsYH5+vn4+kT8IIsEkctFm17EigiAgFlN/oMFxHEKhUNfVHR7m4gk0B2O2g8bzPFKpFDY3N3H8+HHNboDP56M6hwygX2ZpRVAIEWYLCwuoVCqYm5vD8ePH8a1vfcvUddWgJZZoljhWq1Wk02mk02kcOXJE1VXuBSXB1U5cOFmgdYuW2W3ZbLZldlvzGABdN1m8HxhWj103urSRBp2SKQl6RJpSmWMhZ/J7ZWCSI2B8UIgoira8wdeDEwWaEqTyRUswyfr6OvL5fD2YpLm/zSwHXyudqnhIxL7TSzndiifQXIYRPWi5XA6pVArb29uYmJjoqn+GRpqkHL/fj2JRXwy0kZhZYqkkzEgpIxEOtPrfaIglq48zsmYymUQ6nUY8HseVK1dMKxPR21NGw8k0AqNvEtRmt5HYbiLc5LPbyE2Wltlt7C1x1lzeCBwGYtiRXmegtcPt5Y31oJC8D4gZ+yDKc9DsQ7v9aBdMIh+8LQ8mkbts5JzSHExiFp1SHDmOaxiR4mEvPIHmYNQcNFEUuzpZchyHZDKJvb09TE1NdZU4R7AirKTT+rQFotFuUjthRmAYBgzDUCnvpO1mWUGtVkOlUsEPf/hDxGIx3HvvvRgZGTH1YuuWFEctWLHdSrHdzbPb8vl8y+w2coP1s6/8Q+dFiu0vrU6egaZGJR9EMKbsKPYqWLsJCjE6ybH+c0OiHjNOE16Ko33Q2zuuNlaEOPjyGW5KwSRy183o0utO+0ISHD0HzZ54As1lkKcl1WpV88lyf38fyWQSHMdhZmYG586d67k00Q4CyS0ljlqEGYEM2KQh0GjMf7PKtRNFESsrK0ilUhAEAdPT0zhz5owlFza9jphTBRrNm4ROs9vIDdb+/n7D94mcs4cLA3T6rtqlOar1oZntnkmb4cNSyFuwEiAeK5u6JsEtDhqtlgYjMWo/5A5+u2CSTCaDlZUVlEolBAIBxf62boNJOqU4khJHD3viCTSXwbKspvI6SZKwt7eHZDKJg4MDnDx5EhcvXkQwaMwNhx1KHJ2+vh5h1rx2vzhoZpfziaKI9fV1LCwswO/34+67767P/bNKUHgOGj2UQgSQeqlt/xm7H4QYcZ9DpoXKfhjBEX0x+r3QHBTS1c/YVB8Yz24d3qjXxpp+13kf7v3cn+PGB369p7UJbhBobtgHoHOwRq8onlPQWHpNHHy1YJJ4PI5oNNr2XkCSJM09aB72xBNoDkbtBrFdUAgZXpxMJlEoFDA7O4vLly8bHh1Lu8SRhptj1PrdCjNCPzloZolCSZKwsbGBhYUFAMCdd96JEydOgGEYrK6uWiokuulBs5vQcSNq7pnbxZlaxD7K3d2cGxkQoifJEVsKwoxBg4tG8G8FIRxTD4TpFTeIG7eUONLaD6XSa+DQBZP3t6kFk8h7ZuX3AJ5Acy6eQHM4SjdjSuJIkiRsbm4imUyiWq1idnYW09PTpgVJuMHB6oVuQkJ6FWbytWk5aE4vcZQkCVtbW0gkEqjVajh9+jQmJiYabp6sdgr7xUFzQh/E+b/+M6Cmfs5UdM8MnoEmbDYJmltvW+B4oat1jEari6Z3aDVTYSEFe/jcyZMclcRZ88sZQN7C5t8Kojpi/DVFkiQvxdFGWD2/tBOBQABHjhxpCKFqDibheb4lmCQcPjzGOY5DPB5XDCbJZrM4fvy4pfvjoR37HIUehiF30ERRxMbGBpLJJERRxPz8PCYnJ00/kXoljtrLDJuF2fz8PKamprr+HdESaLRSHI1YkzjLiUQClUoFp06dwtTUlOJTbatTEtVi9tVEmFMFGmC/EscWlD5W8d7PM0oz0CSRhbijvRemuqmctGsX4aZEIacslJr70Kp7nQWVEi1BIRqEmVZqBjml5Jj3HDR74IT90BJMsr+/D4ZhkEql6sEkLMviz/7sz3D33XfjwoULyGazuOuuuyjuiUc7PIHmcJRuxgKBAMrlMpaXl7G4uAiGYTA/P9/iBJiJ3+9HoUDvxoAINEmSqDyZ1yKSjBZmetY2AyfOQSO9mIlEAsViEfPz8x1dS70lh73SLyEhTofdN6Z/V7olIiTWmN9hs3DzH9M2fkTrDDQl5C6abUYObIV1zUKTI/kApgYE9v2ojgiHSY5dlnQ2Q86ZThdobnABAfs5aHqQB5MEAgHs7e3h6tWr9WCStbU1HD16FC+//DKeffZZbGxs4F/+5V/wjW98A+fOncO5c+dw/vx5nD17Vnf8/osvvohPfepTePXVV7GxsYHnnnsO73rXuzR978svv4x3vOMdOHfuHG7cuNHNrrsSZx6FHqrUajWUy2Ukk0lEIhHccccdOH78uOUnfzs4WACdeWDAoUgqlZTLd0gZXTKZNFSYydemMQfLaQ7a/v4+EokEeJ7H3NwcZmZmNB0rVpc49ksPmhNKHM1CFBgwe9Yk4AlbhyWSWoWaqRwEgIEew5S0BIUY6JzJMSIohJxLnC7QnOA8acEt+yFPcCTBJGfOnMEf/uEf1l9z7do1vOc978Hx48fxxhtv4O/+7u/w9NNPY2NjA9PT03jppZcwMzOjab18Po+LFy/iySefxBNPPKF5OzmOw6/+6q/ix3/8x7G1taVvJ12OJ9AcDrmpEQQBy8vLSKfTAICRkRFcvnyZ2k0P7RJHcoKl9TRMqcTRbGFG8By09nAch0QiAY7jMDc3pzskx2oB1C89aIC9SxzP//Wfqf6bHvesWUyw2yFIFO4HiVCDBPhMEGtGJTrqLW9sCQrRK85UgkIIoa0AKsPGnefI+cvpDyjcIGwkSaL2UNdoOt37SJKEg4MDXLlyBT/1Uz/V8G97e3v44Q9/iBMnTmhe7/HHH8fjjz+uezs/+MEP4r3vfS98Ph/+/u//Xvf3uxnnH4V9TqVSweLiIpaWlhCLxXD+/HlwHIdisUj1hE/bQSP11rS2QS6SrBJmSmtbid0dtFwuh0Qigf39fczMzHQ9VoJGSIhX4mhfui1tZLdtMDPq1mFS24qYI9J6KG9UmoemNyiE3QpBkl8G5UEhNoGUBrpBoDndBRRFEZIkOV5oAtoeTqulOI6OjuL69etmbVqdL37xi0ilUvjSl76ET3ziE6av5zQ8geZw0uk09vf3ce+992JkZAQMw6BQKCCXy1HdLtox+2QbaEXtk/0nyZlWCDOC56A1wvM8EokEdnZ2MD093fMgdjuEhBj5ertg+xtUgw5tSWDh27dJX5aM2i1HrZ1Q0x2xX/Z1nWIJHIq0biEzzHqhOcmREOR8qAzXDAkKcUPEPnGenC5stETTOwUtDlo2m8XIyIiFW3WbRCKBj3zkI/j2t7/tivfbDLx3xeHceeedLTfF7eagWQXtEkeAnotHSgdyuRzeeusty4QZgaaDVqmYNytIiXaiMJ/PI5lMYnNzE5OTk7h+/Xo9etisNc2gXwQaYO8SRy1omYFmR3Emp7YVASMywFGLBk4f+NX70Aq9nzMZCY0uWo+IAQls1bgf6AaBRh5YOV2gCYJQr75xOoIgtC3dz+VyEEWxIb7fKmq1Gt773vfi6aefxp133mn5+k7BE2gOR+mps53EEa0URfk2WAUpZVxYWEC5XIbP58P169ctv2jREEqAfRy0YrGIZDKJ9fV1nDhxAteuXUM0qhxB3u2aVj4AUXtf1T5bThVodnbQLn7hz4FuKhmb3CP/VhDXCU78AAAgAElEQVRSQMMgZYMSHHtiJ9yzSGNKLKQeHDStNAeFGOGetaxxK8mxmV6DQtxSGgg4X6C5wQUkCILQ9oEkx3FgGEZ3WqMRHBwc4JVXXsEPfvAD/NZv/RaA2+Wlfr8f3/jGN/BjP/Zjlm+X3fAEmsNRE2i0HTS/30+94dYqgSYXZtVqFfPz8xgYGMBrr71G5WRPs8SRRg+aJEmQJAnlchmpVAqrq6s4duwYHnnkEcRiMVPW9HrQzMFp281WtN9Y+7eMieFvwARNy4iyH2qESMsGIA0pXI8OOjuJbImFGNb3WfNt33qfTdY8pMyxV9zgoLllVIAgCK4RaNVqFfF4XPXfs9ksBgcHqezv4OAgXn/99Yavffazn8Xzzz+Pv/3bv8Xc3Jzl22RHPIHmQuzS/wXQnSlitkBTEmaklPHg4IBa/xvNEkcaDhoAvPXWW1hdXcXRo0fx0EMPYWBgwLQ1vR60/iWQ86E6qP8YbyfOaCQ46sIAkdaRdmWOTegNCumKDkmOBF+xd0HiFoHGsqytXXAtuCXBEeh876UWENItPM9jYWGh/vfFxUXcuHEDIyMjmJmZwVNPPYW1tTU8++yzYFkW586da/j+8fFxhMPhlq/3M+44EvsYNQdNFEWqdj3LsvD5fNSj9s1Yv50wI9As8eyXFEeSYAoc9ptdvXrVknINqwdVe3PQ6CMqCILgvg9CvMP7XPbBz9ldgWlgJwzxiLUP/dguevXq7lk7DExyDBwwqA709llzi0Bzg/PkJgetk0DLZrMYHh427Lz7yiuv4J3vfGf97x/60IcAAO973/vwzDPPYGNjA8vLy4as1S94As2FkMbQarVK9WRD28kz2kHTIswI5GskQtlK3J7iKAgC0uk00uk0BgcHAQAXLlzoKZlRDzRKHPUKNKdiR2HZdf8Z0CLOtPSf2RU2E+hapKmWORpIO3HWS1CIUpKjkUEhNK4RRuMWgdZPDlomkzHUQXvsscfanr+feeaZtt//sY99DB/72McM2x434I4j0aMBO7hXAP2wEqNi9puF2alTpzA5Odn2giQv8bT6wkUjrAMw30Ejw9gXFxcRj8dx6dIljIyM4J/+6Z9sLZiMWE++fwzDtBVhTnXQ7E4gp+9zHNr2oWZC2xlNfDsB1I42CS21iH2LYQUGot/a41689fvtJSjEc9Dsg9sctHYpjkaXOHoYjyfQHI7ajZpdgkJoC7Ryudz19ysJs6mpKU0XU3IT3S+9YIB5zlKtVsPKygpSqRTC4TAuXLiAsbGx+rFvtaPlBAfN6rAWI3CC80f6z4L7LriJ06llmB5P5Q0umlJAiEofmpagkOC2NaML1JIce8ENAs0NLiBAt2feSCRJ0lzi6GFfnH8keijewNEuL7TDNnQrEHsRZgSGYfoqrMOMdUVRxOrqKpLJJILBIM6dO4ejR4+23MjbPVWxV/qlBw2wX4njxS/8OQBt7pl8Blpo2/k3q2ooumgKMKXuRUen/jNNQSEiTE9yBHrvQ3NDzL4b9gFwlxMItB+4zXEclRloHtrxBJpL8Rw0/esbIcx6Wd8onO6giaKI9fV1JJNJsCyLu+66C8ePH1d1WGg4aFaXOPaLQLMjvlLjcUfcM7WAECLO3FbeKEerSHM0GpMce8UNDpqbhE0kEqG9GT1D7jva/U6y2Symp6et2iSPLvAEmgtQuiGzg0Cj3YOmtQ9PLswEQaiHf/R60aTtZFmdINnr/kqShM3NTSQSCUiShNOnT2NiYqLjPngljq2vdyJOEJadShuNcM40D6k2ewZaB3w7AdR0jhzoGBaiI26f0FV5o84kR6WgkGa67UNzQ3mgWwSaW/aDlDe2uxZ4JY72xxNoLoW2OALs76CZJcwItIJayAXGaoFGhIvedSVJwvb2NhKJBARBqIewaP09uL3EsZ8GVTsZtouZWLafgWYGnQZUH7TelmgdWN0uKKSXJEclSJKj2KNTKoqi4/ue3CZsnI6W/fBCQuyP849ED8WbYdr9X2QbSiWTB5x2WF/J0SFOTTKZNEWYdVrfbMiF0uq+AL2jBSRJwu7uLhKJBMrlMubn5zE9Pa17m91e4tgvPWh2c/6u/t7n4Y8wkDReJQMH9tp+K/DlfLpdtE5oja9nKiwCNpkxFzhgunY0a7UagkFn18O6RaC5ZT86JThKkuQ5aA7AE2guJRAIoFAoUN8GOzloVgkzAs0SR+DwYtPuJG005H3UcpHb29tDIpFAPp/H/Pw8ZmZmur4weiWOvb3eTthpu4WmVpReUwzdCFthwO76UR3T/uYEsywqQxZ9fkwICmmX5Li/v494PK5LcLmhB80NLiDgnjloWh20kZERi7bIoxucfyR6KD55tkMPmh1KHGu1GkRRxNbWlmXCjECrxJFhGCqz0OQOmhqZTAaJRAK5XA5zc3O4cuVKzxdEq/fVCwnxaCa8w6AWbv8aJw+p1ksvCY7+PAMh1vm9Cu34IFr3/KkzEvD222+jVCohEAggHo/X/8RiMcRiMcWHUG4QaG5wAQH3zEHTItByuZyX4mhzPIHmUuwi0GhuAznRvvzyy6jVapYJMwKtEkeAjntHZr8pCbRsNotEIoFMJoPZ2VlcunTJMHevH3vQ3Dio2m4ljgA0lTdqEWe2w+AZaAGdLpot0BEUEtlkUDrW+U37ne+9ie/+p/+IfD4PnueRz+exsbEBnuchCAKi0WhdsBHx5oaIereUBrrFQatWq233o1wuo1gsegLN5jj/SPRQhHZ5Ic1tIKWMCwsLAICJiQnMzc1ZfhGk5aCRte0wC+3g4ACJRAJ7e3uYmZnBhQsXDH/S6pU4Kr/e6pAYI7CLsLz6e58H2qRtq0Xse2ijmzJHrUEhRhHZvPXZufWrDm8x9STH0lH137/f78fQ0BCGhobqX5MkCeVyuS7ceJ7H9vY2CoUCJElCqVTCwcFBg3izsjy9V9wg0MhwZ6fvB9DZQctkMgDg9aDZHE+guQA7h4RYKVCUeszefvttjI+PU3lC6ff7US6XLV8XoD8Ljed5LCwsYHt7G1NTU3j00UcRDptjM/h8PuqOlpkolVR2ctA8eqO5/yzIAdV46+vCO957TTDCRQty2s7ToR31m+hekxzrwkzDa8qjh38XgwBbUX89wzAIh8MIh8MYHR2tf10URfzbv/0bjhw5ApZlsbe3h6WlJZTLZYRCoRa3LRqN2tJtc4NAI+d0Nzhonea5ZbNZRCIR067JHsbg/CPRQxG7lDgKgmD6k/x24R/kazSgJZJors0wDBKJBPb39zExMYFHH33U9MGftASTVQ5VNzH7gPVjFnrFSdvaCScOqdYzA00No0odtfahsVUY1oemRZgR2gWF6IFlWTAMg5GREYyNjdW/Xq1W6yWSPM9jdXUV+XweoijWyyTl4i0UClH9/LhhlpuW4c5OoVOKYyaTwfDwsKvOuW7EE2guQC0kRBRFqk+2yAmi08miW7SkMtLuA+sXcVgsFpFKpVAulxGLxXDt2jVEo1FL1qZR4ghYJ4CaSxwFQUA6nUa5XMbAwEDLk3W5QHMaTtlmP8/AXzT+59IcUm0U7QJCAge3/82yNEcNSY56xJmc0N5tFw0AIAHX/tfP46X//f3aN08hJCQQCODIkSMNPUKkFJKUSB4cHGBjYwOFQgF+v7/BaSPizSo3yA0OGukFtKNDqZdOJY4kYt8TaPbGE2guhQiiarVK7cRJ1jVaoMl7zDqFf9BMkqQtDq1Yu1wuI5VKYWVlBePj44jFYjh58qRl4gygU+IIWJe+Rhw7URSxsrKCZDKJSCSCaDTa8GSd3KCR975SqZjuXhqJXW4WSP9ZgAcqw+rljb2iNKSaERmEt5veB4W3Ra1Mr3TMwgcVFeWN8PMshLg528GWWEPnzXUrzBp+xjZQHL/99wbBpgGtISEMwyASiSASieDo0aMN318oFBp62xYXF1GpVBAOh1vctkgkYvh5yw0CzS39Z0BngcZxXEOPpIc98QSaC1C6sWFZlqqDAxxuF+mFM+JGUY8wI9AUaG4ucaxUKlhcXMTy8jJGR0fx0EMPYWBgAN/73vcs32eaDppV1Go1fPvb34bP58O5c+dw5MiR+g2FJEkoFov1G7RsNgsA+O53v1vvY5H/MeMGzY1U2vTPG+2eEaEg9fhrCW81/gBGAorHrftsAICvDAgmCFqjiWxpFGcMOqZetus/60SvD3p8Ph8GBgYwMDDQ8PVKpVI/J+Tzeezt7SGfzwNAPfZffl7oJbzJLUmUbug/AzqnOHIc5wWEOAB3HI0eiklvdupD64VmYXbq1ClMTk5quiDQFmhuE4fVahXpdBrpdBpHjhzBAw880PAkzmo3C6AzBw1oP+/NCCRJwvb2Nn70ox+hVqvh9OnTmJiYAMMwDccVwzCIRqOIRqMYHx+HKIr41re+hQcffLDhJm1lZQU8zwNAy82ZXVLj7FDi2BwQYgRKM9CMcG+0ENm8fZ60SqyF9liURzuvJS9zbA4I0dqHpkS7oBBAhzhrQmJQT3IkiD4gxAHlW/e7Pp3i3SwnPhgMYmRkpGEYcfPDHI7jsLa2hmKx2DC7jZwf1Ga3NeM5aPZCa4mjh73xBJqLsUOSYy9R+70IMwJNkUSzxNFo0SIIApaWlrC4uIiBgQFcuXJFcYaK1W4WWdPK49yKHq/9/X386Ec/QrFYxNTUFBYXFzE5OdnwGtKY/8TQk/WvfTX7F/Xt8/l8GB4ebrgQS5KEQqGAfD6Pg4MD7O/vY3l5uSE1Lh6PY2BgALFYDNFo1LLSQ7uUOAKN5Y3NhPcbRZzeGWh1t4zCvWBkkwV0umqdZqBZSWiPgdhk9OgNColsMrbq4bMyYKP5YQ5BEISG2W2bm5sNs9vkD3RisRgikUhDqbckSY4XN25x0Ej2QLsHbhzHeTPQHIDzj0YPVezioOndBkmSsLGxgWQy2bUwk6/vNhfLyrVrtRqWl5eRSqUQjUZx6dIljIyMqN5M09hnGnPJzEqOJAO9OY7D3NwcTp48WS8nBVBPjxRFEe8Z+x9bvl8u1v4YXwJwKNrk207Km+Q3aCQ1jvxZWlqql0M1O23xeNy0GxnaDpp8/pmSOAO6c9iYKoPwXvfbZTTEVbO6/JEat4JCwl06Z0o0JznKXTStQSFE3NAuD1Sb3SZ34Hmex87ODvL5PFiWbehpA8yvKDAbtzho5PrbyUGbnp62apM8usQTaC7BDSWORgoz+fq03gPa4rBS6b4xggRSpFIphEIhXLhwAWNjYx1dDloOmtPXzOfzSCQS2N7ebhnoXa1W66JMFEW8a+A/6vrZctEmRy7clFLjRFFsKIfa29tDOp1uCR+Q97bZyQXrlgCv/m/N7plW7CTO5MjLH0vjxorj5jJHeYKjnGBW3/mdraDFRdOCkeKsHXocVXIOoS3QlGAYBqFQCKFQqGV2Gwklyefz2N/fB3DY8xoMBluSJGOxmC33rxm3OGiCIIBhmLbvOcdxOH/+vIVb5dENzj8aPVTppbzQym0wQ5gR/H4/ikUT8rA1QAIcrEr7a167GydLFEWsra0hmUzC7/fjnnvuwfj4uOYb735w0ADlByLdUCqVsLCwgPX1dUxMTOD69euqw0N/MfarPa8nR0m4yUUbeUoei8Vw7Nix+tebn6rv7u62PFWXl0lqvemxg7gzYrZV8wy0yBYg2fxKy4iHpX/F45QcTJVl5X1oob3uj4/IFtNbAIuGoBAAiOwAlYHOryPYWaCpwbJs/TMOAIVCAd///vdx7dq1epkkz/NYW1sDz/MNs9vk5wfas9uacYuDRvrP2r23XomjM7D5ZcNDK0ofRjv0oLXbBjOFmXx9mi4WcHjC7CUhq9u19YgW8rtYWFgAANx55504ceKE7guo1YEdNNfsRRSSssWlpSWMj4/jkUceQSwWa3iNJEmo1Wr4b0d+vdfN1YwWt00pfED+VJ2INuK2RSKRFrctHA4rHlu0SxyVIBH74X193xfZ0vd6RQGhI2LfCIwWaVrDQsyABIV0GwiihlpQCFvTPzTbiQKtGRIQEggEFHteyew2It42NzdtMbtNaT/c4KB1SnAEgFwu54WEOADnH40eqgQCARQKBarb4Pf7W0rtrBBm8vVpCzQafWhaw1EkScLW1hYSiQREUcSpU6cwMTHR9e/C5/NZ/lDASSWO8rCV4eFhXL16tWUeDXFdJUnSXc5oFlrcNvlTdUK7HpZm0UarX5Nw9fc+b0h2hK8CBDPtX0MjIEQrJMSknVBTm4HmK3e3ZoDvbdac3qAQSDA9KERLHxqprrCTk6SXdgmOvcxuk4s3K0aDCILgqLmRanRKcJQkCRzHNTxg87AnnkBzCUoneDv0oMlFopXCjEBToDEMQy0opJODJkkSdnZ2kEgkUKlUcOrUqY4z5bTgRDerG/SGhDQPmb506VJDXwfQGABiF2HWjl7cNnkp1Pb2NlKpFKrVKhiGweuvv95QIqnmtlmJHveskzizimaXRy+RTQalsd7dtNAe21XPmBEY7Z410xwUAgDBA+1ljjTK342mm4j9TrPbyPlheXm5HlZEyiTl4i0YDBp2bnCLg9ZJoAFezL5TcP7R6KGKHXrQiIO2vr5uqTAj0B7WTUsgqglDSZKwt7eHRCKBYrGI+fl5TE9PG1Z7T2sOGo01tZTjSZKE9fV1LCwswOfz4ezZsy09fU4TZp3Q4rY135xJkoTd3V28/fbbGBwcrAu3QqEAn8/X4rZpnc9kBHrEWXgHEJuuqnbvP2tHZItB8RjdslN/noGv1Pg1LUEh4e1Gp5IRex8Ergch2vk1bhBoRo4J0DK7LZvNtsxuax4D0M32uKkHrV3EviiKyOVyXg+aA3DwpcNDjh0dNEmScHBwAI7jUCgULBVmBJqzyAB6UftK6+7v7yORSIDneczNzWFmZsbwJ4b94qB1WpM4lDdv3mwZMi1/jZuEWTs6uW0MwyAYDIJlWZw8ebL+782lUM3zmZqFWy/BA1oCQpoTHOWJfeGdrpa1li60lhEiLcgdzpXzaKRWqzleoJm9D2qz22q1WoMTLz83NPe9Ns9uU9uPfnDQstksJEnyShwdgPOPRg9VaIWEyEsZScPq9evXqVyIaJY4kvVpCzSO45BIJJDNZjE7O4vLly+3fcLW67p2E0tm0C7FcX9/Hzdv3qw/lJienm449vtJmHVCSbg9kn2k/v9KpVBkPtPBwUHDzRkJHpDfmA0MDCAajXZ8Mv7I//Z54JYjE8wBlUFj9s8tmOmkBQ5u/bfHPjQ54e3D/zI1A/v9NCY5ioHbZY6d+tDc4KB1U+JoBD6fD4ODgxgcvP1hbZ7dls/n632vDMO0uG3xeLx+LXSTg9ZOoHEcVz+vetgbT6C5GKsdNLkwE0UR8/PziMVieO2116hdhPx+f31+FI1toFViSdZ99dVXsb+/j5MnT+LixYump0nSEEt2EYW5XA43b95sGDItv1ASQSeKIv5D/H2Wbq+T0OK2kflMY2Nj9X9XeqK+sLCAWq2m6Lap9a90I84c4Z71iB3KHdthZVBIuyRHgl9DPpcn0Iyl0+w2cn7Y39/H8vIyyuVyfXZbuVxGNptFMBh0zOw2JarVaksisByO4zA0NOTY/esnPIHmEtRKHEVRNP0E2izM5EmAPM9TLbMkN8g0ou4BOgKN53ncvHmzXgZ27tw5hEIhS9bupzloZM12Q6YJJDK/3x2zXujU26b2RL1cLoPneRwcHCCXy2FjYwOFQqHev9KcPCnH12HWu6902wECWvvPnACj46MT2WJQ7rJ1pdsyxyB3+N/mAdBqfWjEPaMNWzsUbe3wBJo1yFNj5TMdq9VqXbRlMhns7u5iZWWlPrutubfNDoFFndBS4ugFhDgDB15OPLRCrPtqtWrKCVQ+O0uSJMWIdtoOFokwpiXQrCxxzOfzWFhYwNbWFo4fPw4AuOuuuyy9oNixH8ysNSuVCt544422Q6Y9YWYuWty2cDiMcDjc4rYRp+29f/j/ALceOOstb5SLM8Ox6X1geAcoHW39ercR+3KMiNtvhxlBIUpJjloxMmCDFk4QaGqQ2W1DQ0O4efMmzp8/j3A4jFKp1ODGb21toVAoNAg9uXizU++alhLHoaEh2wtND0+guQalDxvLsqY4OKIo1suH1IQZQV7fTUMgMQxDfRaa2QKtWCwimUxifX0dJ06cwLVr1xAIBLC+vm5543M/OGiVSgWFQgE3b97EsWPH8PDDD7e4MKTHzCtlpIMWt21oaAhDQ0MQYkBN4dQUygCCeqUQwrtAzSBjWqtoMHNItRWYHRYS3gNEBxlSbnDQ3CIygcMHqvLZbc0PdUhgUT6fx+7uLtLpdH12W3NvmxWz25TolOKYyWQ8B80heALNRSgFFxjZh6ZHmBGIg1WtVqkINIBekiJZ2yxxWCqVkEqlsLq6imPHjuGRRx6p154TwWK1QKMZeS9JkqlPBeVDpkna4F133dXwGjsOmfY4pJNoswo7D6nWipqLpkS7XiwzHEhWbBRptIJCiJvXLijELSmOdnKQuoHcH7QTmu1mt8ndNjK7TZKklhJJo2e3KeGVOLoHZ3+qPDpiRJJjN8KMQNvBAugmOZqRpFkul7G4uIjl5WUcPXoUDz30UMtFg2EYMAxjuTCl5aAB5j3JVRoyvbKy0tDX5yUzOpMnhp4E/qeHARyWN2olvGvSBhlEr0Oqgc5le3pEWreQ/jMthPe6WMDkoJBAXkI1pr6AGxw0J5c4EgRBAMuyXf0ugsEggsFgw1wx+ey2fD7fMrut2W0zcq6jFoHmzUBzBp5AcxFGO2i9CLPmbehXgebz+VAqlTq/UAOVSgXpdBpLS0sYGRnBgw8+2BCIIIdhGGozydwi0EiPZSKRaBkyvba2VnfKSJ/ZLw3+mmFre1jDVpM4I/1noUzra8kMNCLOtJQ32mpItQkBjN2ItE5ljmp9aL6S9qAQK4huSygeba/uauH2/+4JNHtgtAson93WvE5z0mw+n0e1Wq3PbpOLt06z25ohoXCdetA8geYM7HT58DCBbgSaKIr1VMZehBmB1jw2+fo0BVqvawuCgHQ6jXQ6jaGhIdx///2aShRouFk+n8+SckM5coFmBPIh04Ig4I477mgZMk3cSS8AxMODPnrcs16CQqLbUoPQjW7f/ktxVP/5zi39W07fB6tmoHWa3UbE2+7ubn12m1qZpNp+AOjooM3Ozhq6Xx7m4Ak0l6PHvTJamBH6vcSxW5EkCAKWl5exuLiIeDyOy5cvY2RkRPP3u7HcUAkinIzYV/mQ6fn5eczMzCgOmWZZFh+6+Ls9r+dBH3++sUeJuGfNASH+4uFrPRoJ7wBVioO9WYVRCM19aL0iF2Kqr9k5fE1ppFGoBfISfvKDn8M3//QDLd/jBgfNLSKTVh9du9ltpEySjAFYWVlBqVSqz26Ti7doNApBEOrVM2p4Dppz8ASai1ByLLS4V2YJM0K/lzjqXbtWq2FlZQWpVAqRSAQXL17E6OiobkeKloMGWPtUlVyQenHQ5EOmZ2dnMTs76w2Z7gPUxJnaa9vh9hlo7QjvAaXRzq8jBLn2wR0BHmDoXTLqKAqzDkEhkR0RxaParp1uCdhwukCzykHTA8uyiMViiMViDbPbBEFocNvW19fB8zxEUaz3RS8tLanObvN60JyDs88MHh0JBAIoFJRjtMwWZgTaJY40hkUT9DhooihidXUVyWQSwWAQ586dw9GjR7suFfT5fFQSFQHjyg31rNvcf6kFb8h0/7L36w/T3gTHoVc0tUtw7AalPrTwXuc+NL1JjlocM0A5KETyMYjsiCgP376OCiq9aG5w0LwkSmvx+/0YHh5uaHOQJAnlchkbGxtYXV1tmN22tLSEz33uczhz5gzOnj3bMYZfDy+++CI+9alP4dVXX8XGxgaee+45vOtd71J9/Ve/+lX8yZ/8CW7cuIFyuYyzZ8/iYx/7GH76p3/akO1xG844Ij00oXQjr9SDZpUwI9ihxLFcNmCKahdocbFEUcT6+jqSySRYlsXdd9+NY8eO9dzDRUOY0gon0esWlkolJJNJrK2tYWJiAo8++igikUjDazxh5kEI70mqN9m9otgPpbCU3Weg6XXRbENTkqNWcaaVWpiBr6T8M90i0OzmPunFjg6aHhiGqc9ii0QiOHfuHIDbCcSlUglvvPEGvv71ryORSOA973kPPvzhD+PChQs4f/48zp8/jwsXLuDOO+/UJd7y+TwuXryIJ598Ek888UTH17/44ov4yZ/8SXzyk5/E8PAwvvjFL+IXfuEX8P3vfx+XLl3qev/diifQXI68vNBqYSbfhmKxaOoa7fD7/cjn6TSPtBNJJCVwYWEBAHD69OmWMIpe17bayQLozEJjGEbTmpVKBYuLi1haWsL4+HjbIdPeLLP+olOsvBG4YQaaUQQOgOpA59e1o6tofagHhfQiziS2sWQ0xDW6aEp9aJ5AswdOctDaUa1WG/aDzOv84Ac/CODweBsfH8d3vvMdlMtl/Pu//ztef/11fOYzn8Ebb7yB0dFRLC8va17v8ccfx+OPP6759Z/5zGca/v7JT34SX/va1/CP//iPnkBTwPlHpEcdNQetUqlgbW3NcmFGsIODZqcSR0mSsL29jUQiAUEQcOrUKUxOThr++6A1oJtWOEk7gSYfMj00NISrV69iaGio4TXeLLP+ofDEVc2vNdM9i25JikJB0vGQpnC88e9WzEBTwygXjYw9qEbbv64deoJCjHbNbv9cEYVx9Y1wukAj50unCzSnO2iETjPQCoUCKpUK5ufncezYMTz22GP1fyNjlaxEFEUcHBzoCj/rJzyB5mJEUUQmk0GhUMDCwoLlwoxAuweNdkiIKIoQRREMw2B3dxeJRALlchnz8/OYnp427fdBS6DRKnFUEmhKQ6blSVmAJ8z6keLo4c2YmqPVnODYTLcz0KJbxguBqMI9VfFY69esQo9I68ZFU+pD64XotqR/WHWHoKuXSucAACAASURBVBDJx4CpSagFUS9vVBL5Thc35Jzr5H0ADh00teh6J6FlSDUAxTE9LMtiYmLCtG1T4tOf/jR4nse73/1uS9d1Cp5AcyHyUkZyAn300UepPanr5xRHcrLc2dnB4uIi8vl8Pb7d7IsaTQeNRkiIfM12Q6blr/GEmUc7wnvGCCri0HQ7f0svka3b/188BlOGVPeCEeEh8vJGLQOrlYJCjHDOlIJC5IRyEsqD7gwJIdcXJ+8D0FnYOIVO+8FxHOLxuGEhIb3w13/913j66afxta99DePj47Q3x5Y4/4j0qCNJUr2UEQDm5+cxOjqKF154oauEO6OgXeJIM8Uxlzus1Xn99dcxNzeHK1euWHYhoOmg0RJoWoZMe8LMo5kwJ6I80HiT2as4YwQgsk9fGUW2AObW+b9wzPhSTZ9CcUR4DxAirV83bM1S7z+jQZw1BYWYRXMfmtMTEN0i0NzQRwccCrRwWN1e5jgOQ0NDhvW5d8uXv/xlvP/978dXvvIV/MRP/ATVbbEznkBzEYIgIJ1OY35+vl7KSG6Uq9UqtROQHUocrRYq2WwWiUQCmczhYKUrV64olhWYic/nQ6WiMMXVgnVp9KAdHBxgeXm57ZBpwJtl1u9kf+UhAEDoQERpWPnGUu9A6uYZaNEdyZaBIPISS71izay5ZO3KHAOF3vrQ1CBDpY1OxmwOCiGouWhucNB8Ph/1G/5e6ScHjbZA+5u/+Rs8+eST+PKXv4yf+7mfo7YdTsD5R6RHnVAohIcffrjhw8eyLFUHCbhd4ihJEpUTA3HwrFj/4OAAiUQCe3t79blaL730EpX97hcHLZfL4eDgAJlMBvPz8y1DpgEvMt9DHSX3zK8Si94JcuPvBKKbh9taHDfn3BTKAOUu5uGSgJB2hDMSasHO260UFGL176gWBHwqz8ncItCcjlv2oznFsRmO4wwdUs3zfD2FGgAWFxdx48YNjIyMYGZmBk899RTW1tbw7LPPAjgsa3zf+96HP/qjP8LVq1froSSRSKQltMsDcO6ZwUMRpZO9HRwsUlLm1vV5nseNGzfw3e9+F5FIBNevX8eZM2cQDAb7Kk3RynXz+Txu3LiB733ve/D7/Zifn8fp06cbLlCSJEEQBPxC9Fc8ceYB4HZYg5p71g2s0N2Nf68JjkYQ2ZYQMSnF0EpYDcUChoqzDr8myaf8gp/9lT+t/7/TQ0LcImz6xUHLZrOGCqFXXnkFly5dqkfkf+hDH8KlS5fw0Y9+FACwsbHRENv/uc99DoIg4Dd/8zdx4sSJ+p/f+Z3fMWyb3ITzj0iPjigNq7YScsKgVWZJ1jcjSpckZG5ubqoOPKblYNJIUyTrmimGlYZM37x5s6Wc0XPMPJrRUt4Y2auhGrv9b1oi9sOZzjf+VgWEdEtkWzLcTVNy0ZQCQqwqc1Sbf9YrnYJCgMMyx1oQDceW0x00pwtMQr8ITaMdtMcee6xtvsEzzzzT8Pdvfetbhq3dD3gCzWUwDNPygaEt0GiXWbIsC4ZhIAgCQiEN+dgaKBaLSCaTWF9fx/Hjx3Ht2jVEo8p3ETR64Giua5aDVq1WkUqlsLy8jLGxsYYh0/KQEG/ItEc7QgeHDw/CnPJDBPkNtBZiW6KmcjsnUC97POqO/ZET3e2goAwKClHrQ2t53a1zlZMFmtNDToDbD/P6xUGzuhfeo3ucf0R6dIS2QAPoJzkatX65XEYqlcLKygrGx8cbRIIa/TSPzIx1m4dMP/DAAy1lGmRNzzXz6IVm90wJMgMttqV+F26ngBCmiwTfyI5kmEjT04umtf8MAHwVbX1ogLo4YyTjg0LaEeRFVOKHxxepMnCywHGD80SuVW7YD1EU20bocxyH+fl5C7fKoxc8geYylMIoaM8hA+zRB9fLe1CpVLC4uIjl5WWMjo7ioYcewsCAtgmrtMSp00NCRFHE6uoqkskkwuFw2yHTPp8P//O9H+95TQ/3UnjiqiE/x1dWd9/chBaRphSxD3QXgx840P89TqE5KORnf+VP8bW/+B8AeAKNNuQa6XQHTct+ZLNZQ0scPczF2UekhyZoiyOyDbQdtG7ESrVaRTqdRjqdxpEjRxTdm07008Bosm4v8f7yIdMsy+Kee+7xhkx79Ew1xsJXVXeTInvaPqOuEGcaTTWjnLRuEx0JWvvQlAZWx7bEhsAOQ/vQGLR9LyUfA6Z2+wW14OHC1RjrOWg2QRCEehuEk6lWq2BZtu3x5JU4OgtPoPUBgUAAhYJCZ7bF20BboOlZX15WNzg4iCtXrnT95IlW/x3NdbsRhmTIdCKRQLVaxenTpzE5OekJMw9DCORFiAolcc0R+3pxS/+ZGpEdCaUj9thHLWEsciI7Os9DPfShaQkKAW6XOYqiCIZhPIFGmX7pPwOMDwnxMBfnH5UeDaiVONrBQXNCiWOtVsPy8jJSqRRisZhiWV03a9N00KyeP9dNieP+/j5u3ryJfD6PU6dOeUOmPSxDq3MGANGdGsSAPcSKlUR3JRTGettvpfTGZgK8hGpceZ2Awvfr6UOzkk5BIUFexH/zgf8b/8v777Zuo0zADSmOZqQ706CTQJMkCdlsFiMjIxZulUcveAKtD6DtXgH0Sxw7uUmiKGJlZQWpVAqhUAgXLlzA2NiYIcKm15K/XtYljpOVAk1PSWcul0MikcD+/j7m5uZw5coVb8i0h+F0238mj9iP7hj7kMUOM9DkdEoe7FWk+cq3A1aUCB4YO4tN7p4xNUl1LplVQSHNfWj+orMTHIHDB5rtQimcQL85aF6Jo3Nw/lHp0YBdHTTaIlFNIIqiiLW1NSSTSfj9fsV+J7PWNhvyVNDqKGQtDlo+n8fCwgK2trYwMzOD8+fPIxhsbB7xhJmHkSiVNzajluDYqziz+ww0rRjhpJmNUh+a2US3b53fZRqTESWURltvsWpBFr6K8/vPgMNrSzgcpr0ZPeEmB62dWBYEATzPeyWODsITaH0A7fJCsg2lUhfRXgauLxdJkiRhfX0dCwsLYBgGd955J06cOGGK00QzJASw/ilnu/2VD5k+ceKE4mBvb5aZh5kEszVUhrTdkPlLEoIHtx82aClvtFPEvhl0EmntEhzDnITScPv3UK3MMcSJECLazs+xDRFim7sbo4JCWoR7U2hIeO/wmqMk1AB3CDSnixu3OGjVarVjgiMAT6A5COcflR4N2NVBo13i6Pf7USgUIEkStra2kEgkIIoiTp06hYmJCVMvlLTCOkgDutXiUMlBazdkmuAFgHiYQXN5o1ycsZX2ZXVyceZEupmBpoXoroTykD2cNMP70DQEhWhxVCWWASMevv+RHQGVocbbrVqYxf/xX36AL/zJacTjcYTDYcclCbpBoLnJQWsn0DiOQyAQQCwWs3CrPHrBE2h9QCAQgCiKEEV6Ne+0Sxx9Ph/y+Ty+853voFKp4NSpU5iamrLk/aAVEgLQce/ka9ZqNSwtLSGVSqkOmfaEmYdV6HHPPNoT2RVRHNN//tTioqnhL0odXbTInn5RrbUPrZdS12C2VaQBQCqVQqFQgM/nQywWQzweRzwex8DAAGKxmK3FgxtCQtzioHUqcST9Z053bfsJ5x+VHh0hH9pqtYpQqE2XtonQKrOUJAl7e3tYXl5GqVTCmTNnMD09belFhVaJI621WZaFIAhYXl7WNGTaE2YeZhPIiygHGz/zoUxNtecMOHQ9auH2NzN2TBDsiE5TjW1z+tAj0gJF9YU7BYSEupg9xwpoKHNsFxTSCSN6EBlRWaRdvXoVoigin8+D53nwPI/t7W2kUilUq1VEo9G6aCN/QqGQLdw2z0GzD4IgtLQLyOE4TvcMVw+6eALNZSidtFmWhc/noy7QrHbQ9vf3kUgkwPM8xsbGkM/nMTs7a+k2AHTLO60WaJIkYX9/H+VyGUtLS96QaQ+qVH7mfgBA+Yi+G7DIDt3U236nXdy+UWjtQ9MkzlgGuFXO2Gl4dXi3gurg7VuvX/q5/xPP/df/hIGBAQwMDNS/LkkSKpUKeJ7HwcEBeJ7H5uYmCoUC/H5/i2ij4bZZHUBlBrVajdp9kZFoKXEcHh62hbD30IYn0FwIwzD1uVEE2kEhVpY4chyHRCKBbDaL2dlZ3HfffchkMnj77bctWb+ZfnDQ5EOmy+UyWJbFI4880jLLjPzxZpl5WIEQPTz+gtnGz0Ao0/qZIG4aEWed3DM30Slivx3dlDr2UuaoBOlD66a8UQ0jxirI+9DkBHICqoP+W8eYH08MPQkA+Gr2L+qvYRgGoVAIoVCoofqgVqs1uG2bm5vgeR61Wg2RSKShRDIejyMYDJp2U+45aPZBa4mjh3PwBFqfQDsohLhIZs7kks/UOnnyJC5evFiPbreDi2X1PDL52maSyWRw8+ZN8DyPU6dOYWxsDC+//HJdnJGHBV5kvgcNAnmx7pTYpf/MbjPQeqXbfrRuUOtD83UIfNFDdEs4dMVMQAywYKvKQpIItWbkws3n82FwcBCDg4P1r0mShHK5XBdtcrctEAgoum1GOF9uEGhu6kHrlOLoCTRn4fyj0qMFJQfNDgIN6PyUpxsODg6wsLCAnZ0dzMzM4Ny5cy0lCzSDOsi+07gQmJni2Dxk+r777quPUyBOGeAJMw86VH7mfgTy6o5Kc/9ZIC/CX1B/vZaIfSXcMgNNDlttFUORXRGVuPad7eSikTJHrf1nSn1sevrQSFBIfaaZwZA+NAJx0QBAunYvmJduqH6vknBrdtvC4TDC4TDGxsbqXyduGymRXF9fB8/zEEVRtbdN8/7cKlN3ukBzi4PWKWaf4zgvYt9heAKtT3CjQJMPO56amsL169dVh2Za4eCpIZ9HZrVAM0OYFgoFJBIJbG1tYXp6umXINNnfcrmMXz7yfkPX9vDQi1wgKZU2EtqJM81rKdznMaJCT5uCO6MlRZCQP+aeS3engBAr6Umc6ehDI/hKh8dcLeLXfTPWi9tWKpXqTlsul8P6+jqKxWKL2zYwMIBoNKrotpGHcE4XN25w0CRJ0uSgycW7h/1x9lHpoYiSAKE9h4xhGMO2oVAoIJlMYmNjAxMTE4rDjpuh7WIxDANBECxvRjbSQdM6ZBo4/H174syDJgzF+/7o1u3znBkOWmyr9TzaLNrMmoHWjsh+DcWR1ht2tQTHMCdBbHN/H+CVv0+pzJGtSrpdTnlQSGRb6Dj/rBvU+tAAwJ8XIMSMvR5pcdsikQgikQiOHj1a/7ogCA29bXK3TR7/T/6Q+wynh4S4wUETRRGSJHV00O644w4Lt8qjVzyB1ifQdtCA3oNKSqUSUqkUVldXcezYMTzyyCOahy6SE3Cnp0xmQavE0ogeNL1Dpn9p8Nd6Ws/Do1cqP3O/LoEW3q9CCOu7SVOK2I8qCCeraBZthXGF/TEwYt9OhPd7cz8jSs6ZKJnehyYGZCFKHcoce0GL2+b3+zE0NNQQxS5JEorFYr1MkuM4rK6uolQq1Sth0ul0XbSpuW12xg0OGnnw7fWguQtnH5UemgkEAigUClS3oVsHrVwuI5VKYWVlBUePHsVDDz3UEEesBTJqgHZQiJPWbR4yff/997ec4L3IfA874i/VUAs1ChS1pMJuxJmc6Nbth07dztkyg+j27c+9olgzCTUXrRtCORHVaG/vaac+tAZxJsEUF63+49nW49AMF00rWty2aDSKaDTa4rbt7u7irbfegiAIWF1dBc/zAFDvbSMpkvF43PC+c6OQJMkVQSfEBWwnjrPZLEZGRizcKo9e8QSaC1EqcbSDg6Y3ar9SqSCdTmNpaQkjIyN48MEHG2rp9UKzzJPW2j6fD5VKRdf3iKKI1dVVJJNJhEIh3HvvvS21654w87Ar4mOX6+IscFBFZUj/zaGWiH25MLM7RKwxEpC3QKzpEWn/P3tnHh5Vfe//95klkx2ykIQACYGEhDWLQAhSlyu31Gttrbd91HttsWp7259sAlrxCm5tQalW1Fb02oq217qjt25Xi1VArVeWoJCE7GTfyDb7cs75/TE5h3POnDNzZk9mvq/nyaOZOdskYeb7Pu/P5/0xjDOwpwfuugTjniUNuvzq/fNJAH1ogFukaewu0GF00dSi1m1LTk6GTqdDWVkZgAtuG1ciOTIygs7OTthsNhgMBo8SyeTk5KjP5OJuXsaCg+btNbAsSxy0KcjU/qskqCaSc8iUUFvi6HK50N7ejvb2dkXnJhDiYR6Z3HkZRt0ChmVZ9Pb2orm5GRRFYeHChcjNzSVDpglTFiVxprXTcKZokDgcmMhKGnSA0QUoKoIMCAmWlAmxxgm1YGagCQkk5t5byia/jYWVddGC7UPjglu49MZw4q0PbaogJ9y2v3ehz1jotuXk5PCPO51OUfx/R0cHzGYzAMj2tkXSbePWRFPdQfOV4AiQFMepCBFoMchkddB8uUgulwsdHR1oa2tDamoqqqqqQmrJR3sWWrQcNF/CkGVZDA0NobGxEU6nE8XFxcjPz/cYMg243TUyZJow1UgYc8KZJl74+SPOuEV/0qB/bvRkjtjnhJol27/FqVzEvhyci6YUECIkUBdNp+LYcnikaioRoT40bi6a1upC6EZth5/fXPksgGdFjwmdNsC99sjIyBCJA5ZlYbFYeNE2PDyMjo4O2O12GAwGpKWlISUlhS+TTEpKCovbxpU3RtvJCxa1DhoRaFMLItDihGADOkKBkotH0zQ6OzvR2tqKpKQklJeXIysrK+RvmtEucZyMPWjSIdNz5szxuJvI1ekTx4ww2WEuq+L/P9DyRjk0ThaGUe/vn5Op/8wfuGATSxii+9WIMyUM476lilqBJuxDSxpyv15WSXhFoQ8NABiDDhq7K6xhIZFATYkkRVFISUlBSkoKcnNz+celbtu5c+d4t03qtKWmpgZdmhgLCY6Ab4FmMpngcrmIQJtiEIEWg0xmB03YDyXsdUpISMCSJUswY8aMsN3NiraDNpkEmtFoRGNjI4aHhzF37lx+yLQQIswIUxFpOEjCWPDve77EWSwQDqGmszJwJQVvIyqVOWptjKp+wYgi7EMj8PgKJAHk3TaGYURu29DQENrb2+FwOJCYmOgh2vxx22IhwRHwLdBGR0cBgPSgTTGm/l8mQRV6vR4Mw4BhmKjF4Op0OlgsFjAMg56eHrS0tECj0cj2OoXr/PFe4uhryDQAvseMZVkizghTBmrlUgBu50yKsLwxYdQOOunCR5+3BMfEITsAgJX0mwXcfxZF1I4dSO53wZYduqWBYcQFe4bv4wUbFsLhrQ+Nc8+khKsPzTBsE5+HnvglMAwcWcn849IyR1QtBnPiTOgvaJKhxm3TaDS8+BLicDhEbtvQ0BDMZjM0Go2oPDI1NRUpKSmyAiaWHDRvvXtjY2NIT0+PCTEaT5DfVgyi5KAB7hKCSA9L5tDpdDCbzTh69CgAoKSkBDNnzoxY/Xc8lzgKZ8h5GzJNAkAIUxU62XOBEox7xomzeCRpwP1zs+aEL7BBTUCINwwj/r2fKokzn/jZh2YYsgG+hoRrNEg4b4ErPVF8qokyR8oR3UCvaKPGbUtISEBmZqaoT13qtg0MDKC1tRVOpxNJSUkeblu05qKGGl/rupGREdF8O8LUYOr/ZRJkoSiKD3YALswBi4ZAY1kW/f39aG1thd1ux+LFiz1CKCJBtFMc7fbIL/hYloXNZsORI0dUDZkmwowwVdFaJ3qLtMrvK1L3TIm4EWe0dyGRNOBUJdJ8JTj666LJ9Z8plTmqhWJYUd+Z9HsRAfShGYZsvjeSoBu3gaJZ0Kmen8maOHHR1BKs22Y0GkXCzWKxgKIoaDQanD17ViTcppqr5nK5kJKSovg8F7E/1cNQ4g0i0OKISAeFcOmATU1NsNvtyMnJwfnz5zF79uyIXYMQnU4XFZHEnZtrdo4E3JDplpYWMAyD6upqMmSaELNw5Y3exJla9Cbxe6S0vFEtsgmOUY7YDwS1Ik0OrS38mYRyfWjSMsdAxymoQVaYUZSsi8ZqqQtljoLHtCa7SKSxBj0oe+z3PYYCtW5bVlYWsrKy+McYhkFTUxNMJhM0Go3IbeOGbQu/DAbDpBU4anrQSP/Z1IMItDgiUkEhLMtieHgYjY2NsFgsmDdvHgoKCmA0GjEwMBD28ysR7R60SLh30iHTCxcuRF1dnejNmQgzQsyhYuGUMOr75oxh2AYmYWrdPY8ESQNOVQ6YN/xx0XwfK/TvpYH0oQXimvFoNIBgRqVUpBECR63bptVqkZqaipKSEgDuz0aut81oNMJsNqO/vx8Wi4XfVviVkpIyKdw2ItBiEyLQYhRpiSMQmWHVIyMjaGpqwvj4OIqKilBYWMi/cURTIEX7/OEOCVEaMm232/nAD247lmXJLDNCzKBdttDr7CiKZlSLs0CZqhH7cigNVFYrsMJJIGWOQvfMa1mjNyR9aEEJMy9oRyxgky+ENumK58HV3BqWc8UjcsJt74n/5P+foigYDAYYDAaR20bTNMxmM18i2dfXx0fXS922tLQ0JCQkRNRt8yXQyAy0qQkRaHFEOB20sbExNDU1YWRkBHPnzkVlZaVHqhAXlBGtJMlYDAnxNWSa+6/L5QJFUcQxI8QswZQ3+iPOpmKCY6hIGnLCmh14cAgn8oIJCNFbPAVkoHH7/vah+SXM/CxzpGgW0GtBWRxgkxPAGtw/Z11ZCVwNTerPS/CLO6p+Jfu40G3TarVIT09Heno6/xjLsrDb7aIkyb6+PlgsFuj1etkkyXCte3ylOI6OjpKQkCkIEWgxitzdm3D0oBmNRjQ1NeH8+fMoKCjAsmXLPGLbObg3EJfLpbhNOIm2gxZqgaZmyDT3/ffSfxzScxMIkwHtsoVgksQLE2+lYnIBIUJxFqvljWoj9tUQrEjzJc70JhecqcpLE41dnbjTOFkYhh1g9eoXxd7KHMPimknKHPnrmBBpAAAXDVAagA1/Px/hAr562yiKQmJiIhITE5Gdnc0/LnXbenp6YDabQdO0bG9bsG4by7KqHLSysrKAz0GIDkSgxRGhdNBMJhOam5sxMDCAOXPm4JJLLvGZDqnRaEBRVNQEWrRTHEMlDsmQaQJBjMZsB53uHhshFGfacSuYFOX3Ja2FBDEEglCkKSU4KgWEaBwMmATvosmbSNPZaK+z68KBYTiC4VJ6LeCkoRmzAADYRD10pfOJizYJUBNIouS22Ww2XrSNj4+jp6cHVqsVer1etrdNrdtG0zRYlvUp0IiDNvUgAi1GUZqFZrFYgjquxWJBc3Mz+vr6MGvWLNl5Wt6uKdJJkkKmeokjGTJNIExAaaBdWurxsNQ98ybO9MNWMInePwIDTXCcEviI2PdF0pATjvTJu4QwDDsAAJSTEblo/sTtBy3MFMoc5ZCWPrJ6HSjnxOcV56LxTxI3bbKgJpCEoigkJSUhKSkJM2bM4B93uVwebpvJZALDMEhJSZF126RwaxpfISGkB23qMXnfXQkhJxgHzWq1oqWlBT09PcjLy8OaNWuQnJwc0DVEWyRFoweOc+9YlvW7nIEMmSYQBAgXqgwDjdkOaDTQmsSLaW/umX7YGs4rjJmIfSEaGUGXMO4KSKQljDnhmOa9TNJXqaOUQPvQlOBLX8MQ9iASYwpljhyUzQk4ndDNnwtXS/vEg5LXSQTbpEON26bT6TBt2jSRuyV024xGI0ZHR9HV1QWbzYaEhAQP0cYwDLRardd1BTcHjTC1IAItRlFy0PwVR0JxkJOTIzvo2B+i7WIB7pKASAs0nU7HCyi1sbxOpxNtbW04d+4cGTJNIAgWpbrCOQjU/wm3OAMAigESzkt6lny85dhy1FUihBOlBEdvGM47YM9SX7KusypXEuhN3j8bEsbcNxh9lTly7lmgBJPoGRImyhxFLhoASiLy2SiV7BMCI1i3TRhI0tXVBbPZDGZC3NfV1cm6bSzLYnR0FJmZmWF8ZYRwQARaHOFPeaHD4UBbWxs6OjqQlZWFmpoapKWlRfQaQg0njHwlHoXz3DRN+xRo3JDptrY2pKWlYcWKFWTINCF+kboFAJCY4NV10I57ijCN1QmN9cJ7j6/yRrUkjHgu5tkAXJfEgYlrVtjXNiPR72NGCn9FGqDORQsXXssah2w+xbR/Jwu8zJFHrwecTmiLCkG3d7q3pWnipMUIat226dOne8w07enpwblz55CYmMi7bUePHsVTTz2FkpISLFy4EAaDASMjIz7DRNRw+PBh7N27F8ePH0dvby8OHjyIa665xus+H3/8MbZu3YozZ85gzpw5uOeee3DTTTcFdR3xABFocYSaEken04n29na0t7cjIyMDK1euDGlzaTRLHLkeuGicX01AinTIdHl5ObKyskRuKBFmhLhBRphRGgravFzxgxpxyaOcOFODPwmOCecFvbwRcuMTBz2F4GQSbYGINF8EUuaYMOYAI0lulPahSeEEm4frCbjFVbjLHP1Am5cDZvC8+Fick0b61GIGtW6bRqNBYmIi5s2bxz++cOFCLFu2DKdOncLXX3+N4eFhXH/99QCAxYsXo7y8nP9atmyZX/1pZrMZ5eXluPnmm3Httdf63L6trQ1XXXUVfvazn+G///u/cejQIdx6662YOXMm1q1bp/q88QgRaDGKUomjkkBzuVy8a5Oeno7ly5eHpak02sOqwz0wWgmKohRTJFmWRV9fH5qamkRDpqXCDHCLODJkmhDzKIgzAEBaiqpDeAsICQT9ecukCw1RI9pCGbEvhXKKRQAn0pQSHKX446Jx5Y0coU5zFIkzBqF10WTQjljEztqEI8ymSvqLuTLHCRcNDAPNtDQwRhPYifJHYekjy5Wpkmj+mIQTbpxQk3PFMjIy8K1vfQvf+ta30N/fj5KSEoyNjaGnpwenTp3CV199hQ8++AB79+7F4sWL8f7776s+/5VXXokrr7xS9fb79+9HUVERHnnkEQBu8Xj06FH89re/JQLNB0SgxRF6vR4Mw4hCMmiaRkdHB1pb/04mWgAAIABJREFUW5GSkoLKykpkZWWF7RqiWeLInT+as9CE5/Y1ZFq4HYnMJ8QF3oQZwLtnnFCirA6wKb5dJO2YFWxCYB93+vPBJd9GGqFoU3TYgkxw9IZacSZFqf/MHxctYczde6ZxMh4umtf9hm0BlaX6i3ZE8rckU/5ImazAxI08NlmhLzEhAZq0VDAmM8CyvFDzEGREpMUkLw3uh9PpBEVRcDqdXtsmxsbGYDAYkJqairKyMpSVleG6667jn3c4guvX9MXnn3+OtWvXih5bt24dtmzZEtbzxgJEoMUoSg4a4C5j1Ov16OzsRGtrKwwGA5YtW4bs7OygBiaqQafTwWaLXgN2KOLuQ3Fu4ZDpefPmoaCgwONNlggzQtwhWExS0qHrebne3TOFnjTtWGAlj7qxwN6nZBf6arVCiN9/EwdtvACwzwg8hEQuwVEJndkFV4rCDDOZgBC1iY7BohS3nzARCEKxrLJIC7LMUTtmBXwFsMikOVIWK0BPPJY44QjrdYDTBdAMNKkpYB3OC4KOvnBDQ+SkuR8I+PoJk4M3xv7I32RnWRYmkwmDg4PIyMjghRbXTsGt5UZGRjB9+nTFtV24Z9L29fUhN1dclp6bm4vx8XFYrVbVY5riESLQYhiKovjSOMD9D1ej0aCzsxNdXV3Q6XRYtGgRcnJywi7MOPR6PUwmU0TOJUe0HTSTyYRz5875HDJNZpkR4hmhOKO0WmimXRj6CpsDSE0UuWeU2QY2yXOhwYkzqXvmLSBExzlmasoZI5wGGwyGwQtC1Z4Z3t61hBEHHBnqF36BCrBgyxwTvKU1hqDMUTsaoPuq1fKiSwRX5qif+Pu1T7gfOh3gcvH/bliaBqWhLog0Is6mNAfHn+Mra7hWCS7hedasWZg7dy40Go2oR52jrq4uYus7QmghAi1O4NJ+uCCK0tJS5OXlRfwfbrR70KJ1fovFApvNhrNnz6KgoABLliyBwSDukSHCjBDvSF0z/vuEBPfiFAC0GlBW72U5lIvx2znT+ShlnGz9Z8FgGHILE3v2BaEWSMS+N/wRaRTNgtUqfxbpTE7QSd6XK1x5I4evMkf9sDVsAltWmGkoeRdNWOYoNxNNq3G7aDb7BdGWcMFxpLRaICHBPXZC8tnGizQSHjJl2fw/6/HRRx/x8flarRaDg4PQ6/VYsWIF0tPTRdtz4sxut+Pxxx/HQw89hCVLlkTj0gEAeXl56O/vFz3W39+P9PR04p75gAi0GIaiKDAMg76+PjQ3N4NhGBgMBj6EIhrEWw+a3W5HS0sLurq6oNfrMX/+fBQXF4u2IcmMhHhHUZjpdKASDROugd7tnmklCX3m4EumNUa7741iEE6oAYAjMzShKhqH/wJAa3XBlRr+yH2PNEeGEYm0YMscA3bMZA+m4KJxOJ2AIcHtorEsKE6kAeCuknPSAJmSRw4i2CYlb5meB+BeH1itVoyOjuLcuXMwmUzQ6XSw2+2ora1FWloajh49iqSkJCxfvhyLFy/GiRMnsHHjRrAsiw8//BBr1qyJmotWU1ODd999V/TYhx9+iJqamqhcz1SCCLQYpr+/H42NjXA4HJg/fz5mz56NL7/8Mmo9WEB0Y/aByKU4CodMc3PkWlpaRH1mRJgR4h2hMGMZFhr9hY8kKinJ7ZYlJV1wz6T7T4gzYXkjZbK556SpgAttYHWSMrlYcctUzt8CAMN5G+xZ6ksfpQmOcvjjoulMTq8iTWt1ybpoOhsNjd2/z7RQDytXLcyCddE40eaYuMk5IdIoAKzLBUqvByu8ATohxrwOtCZBIpMOTpxxjI2NobGxEdOmTUNFRQWSkpLgdDphMplgNBrR3NyMI0eOoK2tDYB7bbF06VL88Ic/BACMj4+HbFySyWRCc3Mz/31bWxtqa2uRmZmJgoIC7NixA93d3XjhhRcAAD/72c/w5JNP4s4778TNN9+Mjz76CK+88greeeedkFxPLEMEWgwzNjaGWbNmYc6cObwwUDMLLZxMhhLHcKYWeRsyzb12IswIBACU5sJdfQAavQ4sw4JK0IPS60El6N2ljZx7Bni4Z2pQSm/0SNQLF5NN63lZixsmoub9EWq+4ESaXECIGnSmwD+v5Moc/RJnKvrQQuqaeRxcxkXjHpvoO2Mt7tdD6XQXRBrg7kmbKHEU3QiJ4g1agnekwsxqtaK+vh5GoxFlZWWi8Tt6vR4ZGRnIyMjAY489hrfffhvbt29HaWkprrzySgwNDfFR+j09PSgqKkJ5eTkeeOABLF26NOBrPHbsGC6//HL++61btwIA1q9fjwMHDqC3txcdHR3880VFRXjnnXdw++23Y9++fZg9ezaeffZZErGvAiLQYpjS0lIPt2wylBg6nU6wLBsVy12n08FiCf0Hqpoh0xqNBi6XiyQzEuIbSYkVH2zAsKD0Ol6csTQNyukEkpPVH1qFe0ZZHdD66GFThUz/UlBR7ZOokV8o1PxJcFRCrTjz5aIpobG7wBjULWc8+t0CLHMMuTCTidwXwblo0t30OrBOl1t40TSg1V4QaQCoiRuiLMMqizPSoxZVpMKMYRh+/FFeXh6WLl3Kp3BL6e3txdatW3HkyBE89NBDuOWWWzxG9QwNDeHUqVM4depU0E7aZZddJgqfk3LgwAHZfU6ePBnUeeMRItDijGg7aHq9nnePvM3uCBehjtkXDpkG4HXItFarxbaKB0N2bgJhSiE340yS1kglJAA0DZbWgJKkm3pzzyiTuj40atxyIQFvAo/yRhliKSBEDkphwWUYtMCZGXwjv8ZGgwnBUGm5MkfduPr+Qf1oaEa8BCXOlMocRdsIyhxVuGicSONdNW57Pn7f/V+PfjQhRJhFBblyxrq6OrAsi8rKSmRkZMjuR9M0/vjHP+Lee+/Ft771LdTV1SEvL0922+zsbFxxxRW44oorQn79hPBBBFoMozQLLRwOklq4SHmXyxU1gRaKEksyZJpA8AMF10z4/5Re515QJuh5ccY6nKCSAdjtADe012oDkgQleDKuguwljE+tgdOTBa4kUI1Q8xYQohu3w5XuGUSitYrfjwN10RSvyc+h1R4Iyhy1Ixa3wIoU5om/WWFPmjT91+macJ4viDQ+JGTiv8LQEEBBqBEXLaJIhZnL5UJzczO6u7sxd+5cFBUVeawnOOrq6rBx40b09vbiz3/+M6666ioSpR+DEIEWZ0Q7pIObxeZ0Oj1i5iNBKAQaGTJNIKhEzjXTUPwCkNLpAZZxJ9AxzERio3uRyTqcoJIS3eKMw+qnA2JzgLL5Wc4YK26ZHwEhatAPW3mRpiYgRIjGEeCcM5n+M6WwEF9ljkL3LJAyR75nkWGDF2lKLppZ4SaC0FGz2/l9ffWTUVqte5sJx437XtZBI0QMqTgbGBhAQ0MDkpOTsWrVKqSkpMjuZ7PZ8PDDD+Pxxx/HT3/6Uzz44INIS0uLxCUTogARaDGMkoMWzRJH7hqiOSw60HMbjUY0NjbyQ6arqqo86sLJLDMCAcrCTPi9VisrzqikRLAOyXsURV0QZ0L3zGIVOwq+0hv15CNPNdIkQbhFmist8BtrSi6ax3YqXTS15Y3682a3SAmQsAbKmC3KYloozGTSHXnB5XSJyiDZie0ojQaQ6T0T/lsUiTXinIUVqTDjZqMODw9jwYIFyM/Pl123sSyLI0eOYNOmTUhJScHHH3+MFStWENcsxiGfVnFGtENCuGuIlkAL5NwWiwXNzc3o6+vDnDlzFIdMk2RGAgE+xZlo5plOJ3bOAF6cUUk+kgSl4kyK0awYz8+hpv8spgjB+ls/MlHymBFYb5o/Ik2JQF00r0hcNP5cYzLiLBQumtAt8xUQIkXgwEldMuFjvFDjgnho+sK/T87F5oZZE3EWVoTijGVZdHV1obm5GdnZ2Vi9erViRdHw8DB27tyJV199Fbt27cLtt9+uGBhCiC2IQIszJoODFk2R6I9AEw6ZzsvLw5o1a5AsSZQjwoxAmECla8bdsacSJhYZNMOLM1mXQ3qX2OIjJt1oVnW5gaAZmTi23OJc7m62jzvcdGaKqu0mI/oRa8AijUPafyZEY3GASVZ2RNW6Z9px+b8XjzJHuX3lxFmw+Pv3qeSiyZVJyog0Yfoj/5gA2QHWRKyFDKlrZjKZUFdXB7vdjqVLlyI7O1t2P4Zh8Prrr+POO+9EeXk5Tp06hfnz50fikgmTBCLQYpjJWuIYbQeNE1RKDbhyQ6aldd5EmBEIEoSLOm5ArmAB6SHOuEUjF6mfIBg2PeGesXY7qESBk+bNZXA63V8cQd5lpsZM7v/RaBEu+aQdVl6s01mpYTqrGKUER9ltXeKFu1CkeQsIkaLWRQspnMukAg0nzEIpnH0JM7UumpdSRwDKIs3lku09Uyx3JASFVJjRNM2vK+bMmYP58+crBqWdO3cOt99+O06cOIFHH30U//Zv/6a4XiHELkSgxRl6vR4Mw3gVKJG4hmgKNMCdmJSQIL47S9M0P3tEOmSagwgzAsEHXhIbwTLuYBAueVGrEd/Rd7mABD3YiWAQoThjbTZQwjIgf0OGVPSfUUohDVFAe94k+3ikhJtafDlpSgEhunE7WL13weTNRaPsTrAGTxEuLHNUcs/4Y8iEhWiMgiAawdwzD/wpc1TrmimJNBlR5n5cptQRcA+s5sZU0IxnOaP7G/d/iVsWcqTibHh4GHV1ddDr9Vi5cqVisIfL5cJTTz2FX/7yl/jXf/1X1NXVKTpshNiHCLQYRslBAxC1FEUguiWOGo0GFEWJBBrDMOju7kZzc7PikGlulhnDMPhu6vqoXDuBMOmRijNBYiMwkdoIuB8TzDmjEhLc4kwBD3EmhBsbEoBjRrloccmkl1lr3g/kf3ljoMgJNw/RFmyCo5wY8IJ+xAo6JXKfJxqVc+888OGiacatkXXN/EEg0libHVSiAazNfSNDdJNj4nfPulwXSiApjUikARfcMlnXTFquTEScKqTCzOFwoLGxEQMDAyguLsacOXMUQ0BOnTqFDRs2wGg04uDBg7jiiitICEicQwRajENRlGjqe7Rj7oHoljhSFMWfX82QaYBE5hMIPvEjtRGAWJxpNBfEGdeXNhEU4lVmCOc5+ivOTGbZQAhVRHIOlkqkoo3vbRMS5jW2dswKepr6njTK7gRld4JJ9QyD0Vgcov8PxEXTGG1gE8IcAqPkogUjzLyUOrI2u0ik8bsISxyF+3PXxrAix8xXPP+FExJhphZpCEhvby8aGxsxbdo01NTUIClJ/t+G2WzGr371KzzzzDPYvHkzdu7c6dHrTohPiECLQ6Ldh6bX62E2h6+R3xcajQZDQ0M4ffo07HY7iouLMWvWLDJkmkAIBLXijENQekVJyw6F8foJXkSXrwWmnGAzBfCeo5maKY/C3jZZsRau8/op0gC3GyYn0iIFV+ao4cohpWWN3soc5QhxSA1rtalyRBVFGgBoKHcUP7+xsqM28U3Q1x0vvDz0tOhmt8ViQX19PUwmExYuXIicnBxF1+zQoUPYvHkzcnJy8Pnnn6O8vDySl06Y5BCBFuNIHTQg+gItmiWOIyMjcDqdaGlpQXFxseKQaa5P73vpP47KdRIIkx4VwgyQiDPqQqKcVyTiTFjeyFptFxIg1WA2ixw7RQItb5zk8GKNZUFniEshgwkIESF4TijSAh1QLUXooknLG+VcNK6PjHLQni6aTJmjxkevmipCKMxY6UB2kSum0I8GGZHmcimXdJIetKB48LNtMBqNOHLkCPR6PdLS0sAwDMbGxpCTk4NVq1YpVikNDAxgx44dePfdd/Hggw/itttuUwwMIcQvRKDFIdEM6QCiU+JoNBrR1NSE8+fPQ6/Xo6SkBLNnzxZtQ4ZMEwh+IF3YURpxaiN3Z55LlNNJRJdex9/V93DSOLhSR+FxpeJMzi3z5dDHaSKaduRCKaRUrIX0PH46aUIXTVjeGAmo8YlSWaFA99dFC6U4UxojEYhIAwCa9prO6LMHjQg4D4TljDRNo7e3F62traBpGsnJyRgcHMTg4CBSUlLw8ssvIzs7G1VVVVi+fDnef/993H333VizZg2+/vprFBQURPGVECYz8fkpFedE20GLpEC0WCz46quv8PnnnyMxMRGXXHIJ0tLSRK4iJ8xomsZ3U9cTcUYg+AOlkQ8HEX4vEGd80pxT4T0gQe8WZly5oxr3izu21Qo4wrjAD9H8s8mAdsQEzagZmlGJuPAzIETx+GPKrhRl9/z88RX8obE4FMWb8HiiFEa4XTQPuJsG40GmdpotIRNnrMWqLM7kkJbkczczHE63Sy1wqikN5eluq+lFI+JMxFum50XizOVyoampCWfPnsXs2bNx6aWXYvXq1finf/onrFq1CkVFRdDpdPj444/xH//xH5g7dy5uu+02zJ8/H5WVlThx4gTa29s9qpxCye7du7FixQqkpaUhJycH11xzDc6ePetzv1dffRVlZWVITEzE0qVL8e6774qeZ1kWu3btwsyZM5GUlIS1a9fy/fyE0EAEWowjV/sczRLDSJ3fbrejrq4OR48eBQCsWbMGixYtgsFgEIWEcMLsOyk/IsKMQAgElhEt5Lgob+4LlDtKn/uiJKU8nHvGOl1u0ebw772BtVr5L1kCLW+cov1nsvhYAMoKtRDgb+mgL5FGWdQNp1aDhziTlt5Kf2bS70M0ksEvYSYNsJq40SkSZ6LtFVJVBf1ncmXJ0n/TBM+ExoGBAXz22WcwmUxYtWoV5s2bx/exUxSFlJQU5Obm4le/+hW++c1vwmq14uabb8Zrr72G6667Dq2trdi1axdKSkqQkZGBSy+9FPX19SG/7k8++QS33XYb/vGPf+DDDz+E0+nEN7/5Ta85AJ999hluuOEG3HLLLTh58iSuueYaXHPNNTh9+jS/zcMPP4zHH38c+/fvxxdffIGUlBSsW7cONluACasEDyg/lDuZYDgFcblcoCV3ybg3gYULF0bjkjA+Po7/+7//w9q1a0N+bOmQ6ZKSEo+ZI19//TUMBgPmzZtHRBmBEEq8zUCT+d5jd2mpo0RcScsbWRkn3uMccgJNWuKoVqBNVQfNnzv0NAMmwzNYRLEHTeFxSuCQMunickc5B43HS/kpZbGDTVTuP6TMdsV5d9JeNMpo8fwdS/8OpL9HigqJMPPLKZM9wEREPucW+xgwzbrU3fRgGZYIMwlSYWaz2dDQ0IDR0VEsWLAAM2fOVAwB+fLLL7Fx40bQNI39+/fjG9/4hse23M3kU6dO4eqrr0ZWVlZYX8/g4CBycnLwySef4JJLLpHd5rrrroPZbMbbb7/NP7Zq1SpUVFRg//79YFkW+fn52LZtG7Zv3w4AGBsbQ25uLg4cOIDrr78+rK8hRvD5IUF60GIcpVloFkv0BrIKHaxQzfkQDplOTU31OmRap9Nha/kDITkvgUCAfGCIVCixDFjaxzYysMKSRWlJlmQxruZ48dp/5g+aEffddU6oeQ0IUXO8cauHSJODsk04QcnKI2Aom9OrSIPT5XMoOWVU+PyjGe+9aCbzpBDfrLSMVzCwWrQdHxjiPRBE1IdG+s8AeAozlmXR1dWFpqYm5OTkYPXq1fwsVSnj4+O4//778cILL+DOO+/EXXfdpRgYYjAYUFlZicrKypC/BjnGxsYAAJmZmYrbfP7559i6davosXXr1uHNN98EALS1taGvr090k33atGmorq7G559/TgRaiCACLQ6JdkgINyybpmno/OgvkUM6ZHrZsmXIzs4mQ6YJhEihlOYoEyIi+lah1BGY6E/TakT9ZB7iy8ciHIBf/WsizDIOhy/3LC18oRsRQ1Lmxwk1Ns2/6HxveHXPvO3no7yRMvt4fiLRUSTOGFp9KWuUnTPW7qO8UzDzTLG3TCLUvIWHxDNScWY0GlFfXw+Hw4Hy8nJFl4tlWbzzzjvYunUr5s+fj2PHjkWtUkkOhmGwZcsWXHzxxViyZInidn19fcjNzRU9lpubi76+Pv557jGlbQjBQwRajKPkoEW7Bw1wlyMGKtCkQ6bLysqQl5dHhkwTCJFCRpi5H5YTMsrijOtLE4WGBBB5r8o9A8BKF9pyowEUXptXjCbl57j3pWiIuBAEEFDjE0ItPfCZappxK1iDuvd7ymIPu4umiNRFA8TizN+5aAi+pNGnOOO2UwrekW7nS5jFqXMmFWY0TaO1tRUdHR0oKCjAvHnzFOPwe3t7sX37dnzyySfYs2cPbr31Vo/ZqtHmtttuw+nTp/nefMLkhgi0OCTaISEURUGr1Qbk4rEsi6GhITQ1NZEh0wRCNJFbxEmi9t0PSdy0idAQf1ArvqR4LIyjXZ7mTcRNAQeOGjerEmmUglCg7C5FkcaVN/Lf+xBpgUCNmjzFly8XzWgKqiw2rK6ZcFsV4oykNiojFWfnz59HfX099Ho9Vq5c6dHLzkHTNJ577jns2rUL69atw5kzZzBz5sxIXLJfbNiwAW+//TYOHz7sMWJISl5eHvr7+0WP9ff3Iy8vj3+ee0z4Wvv7+1FRURHiK49fiECLcSajg8Zdg78CbXR0FI2NjTAajZg3b57XIdNklhmBEEFUDq1W1avmxT3jUuqoFM+SO4/hvgGKOln3TG04SDAoibdoCzfJol3kpvnbm+Z0gnI6wab6VzIpV94odNFkyxulLpo/Qolz0UwTSXcMIxZpPly0oB0zhyMkzid/PCLMFJEKM4fDgcbGRgwMDKC4uBhz5sxR7JWvq6vDpk2b0N3djT/96U/49re/HbK++lDBsiw2btyIgwcP4uOPP0ZRUZHPfWpqanDo0CFs2bKFf+zDDz9ETU0NAKCoqAh5eXk4dOgQL8jGx8fxxRdf4Oc//3l4XkgcQgRaHBLtHjTAPxdPOGR67ty5qKys5PvYOLgAEIZhiDAjECINt8CbEDcBizMAkL43URqwkt4o1maXbKLC4ZBbOMldZ6gJdsEmJ9zCIdqkMfM+oEaMYNMCK3mkTFZVIs1n35mvUkc55EoY5Vw0U+jHDvhCFP4hHEyttL0P10yVU03EGQD3GqK3txeNjY2YPn06Vq9ejcTERNn9bDYb9u7di3379uGnP/0pHnzwQUWHLdrcdtttePHFF/HWW28hLS2N7xGbNm0akpLc/wZ/9KMfYdasWdi9ezcAYPPmzbj00kvxyCOP4KqrrsJLL72EY8eO4ZlnngHgvvG/ZcsW/PKXv0RJSQmKioqwc+dO5Ofn45prronOC41BiECLQ/R6PWiaBsMwUauR5pIcvWGxWNDc3Iy+vj7Mnj0bl1xyiUcSEhFmBMIkgmVkyxzdiBeLlIYCK3FgPASbnJulpj8tQPdsyiAVbVFy2SgjFyLiv1ATijRpeaMImx1I9NKPNjrxs9DLCDXORZM6WnIiTQiXciwU1ypctKDKGeUGrHsRaV7FmRrRRYQZj9lsRkNDA8xmMxYtWoScnBzZ/ViWxdGjR7Fp0yYkJSXh73//O1auXDnpXDMhTz31FADgsssuEz3+3HPP4aabbgIAdHR0iNaCq1evxosvvoh77rkHd999N0pKSvDmm2+KgkXuvPNOmM1m/PSnP8Xo6CjWrFmD999/X1HUEvyHzEGLA+ySOnaGYfDBBx/g8ssvV4x+DTfHjx/HjBkzUFBQ4PGc3W5HS0sLurq6kJeXh+LiYiQnJ4u2IcKMQJiEqAzXkHPYZN006fFkFtWy7pnssSTnVBsOEmx5YzQWb5xg83P+mSxyC3mZbTmRptR/BgCQqZpgU5OCEmgQuqlyIk1OoAHKs++EI2hkXVf5WWmBiDNZUSa74YXfo89eM5nfl9dQkDgSalJhxjAM2tvb0dbWhlmzZqG4uFgxuGxkZAQ7d+7EK6+8gp07d2Lr1q0elTwEgh+QOWgEtx0tFOIajQYajQZOpzNqAk2uxNHpdKK9vR3t7e3IyspCTU2NR9kAEWYEwiRGIThE/G2A4kwtasRZpIjWeTmHjXvfD9Rh82PxThnN3oWUQkk7ZbL6HoegJNJsKkI0xo3yx5dNa5TMOVOR2Bj00Gk1UBTgcgUstCgNpbyvjxlpsYJUnI2OjqKurg4UReGiiy7ymJvKwTAM3njjDdx5551YunQpamtrUVxcHIlLJsQ5RKDFKdEOChGWOEqHTC9fvhwZGRmi7cksMwJhiiJNcJRJeZTvlZFOtdZ4DKqmNJRnaYdcr1tSnJfdRKokkoujT0n2vp0Qp8v9Jfc7EgowX04a4BaBQlfDOiGeXC7fIlAaMsMhFWmCUkePYBqVqHbOOCY+K2WFlgphFc8OmlSYOZ1ONDc3o6enB/PmzUNhYaFiq0dHRwduv/12HDt2DI888ghuvPHGSRedT4hdiECLA6QOGhB9gabX6+FwONDZ2el1yDRAIvMJhJhAbdJjMPsqlCh6xJUruCLSZaxS+AiVHLrBzWHDW3mjULClpfoXEKK0rVA8my3+iTS1CEWaknsmFWkcciKNc9GEQkutaxaAOxqoMBPC/d2zDOtTXMX7vDNpCMjAwAAaGhqQmpqKmpoaj9YJDpfLhf379+PBBx/E9773PdTV1WHGjBmRumwCAQARaHFLNJMcWZaF1WrFwMAAhoeHyZBpAiEeUJP0OEXwVtbGiTfWapsaQs5ocouSFEnQR7CLd6FIU3Mz0GqTd9ECxaqy9NBs9ewzlIo0wfd8gqifA6v5mwS+9uGEpJfPZzXpjPHsmm35602gaRqfffYZ0tLSkJSUhOHhYZjNZpSWlmLmzJmywR4sy+Krr77Chg0bMDY2hjfeeANr166d1CEghNiFCLQ4QO7NJRrDqoVDpi0WC5KSkrB69WrZIdMMw4BhGHwv/ccRvUYCgRBmvCY9XoAXcEG6Z57bqVtsqYrul4EXbxQlK+QmrWgzC2LlpWIt4GNagAQvQQrSwAuhSFNyyLjHHQ4gIUHhuAqfbVIXTU0P2wTS0Q6q9pEbNK1G2AUhzuJZmHGOGcuysNlsMBqN6OrqQl9fH7RaLWgZLnniAAAgAElEQVSaRnNzM/r7+9HX14f+/n6sWLECZWVlsNls+PWvf42nn34amzZtws6dO5ESqn8HBEIAEIEWp0S6xFE6ZDohIQGdnZ0icUaGTBMIcYDK8I8LC02ZvjPZNSoNSjf5U9UiItr8SW+U29ZsBhgWSFVZpqgkGmgasE48p9Yd48oNvYkYrlRQSaRxYkqnMGdPWurIsL5dNDn8dNG87uejoiUoYebeQM2VTVmE5YwURcHlcqGtrQ1OpxNVVVXIysqC0+mEyWSC0WjE0aNH8eyzz6K9vR16vR4pKSnQaDS444478J3vfAfaCI3qOHz4MPbu3Yvjx4+jt7cXBw8e9DpL7KabbsLzzz/v8fiiRYtw5swZAMB9992H+++/X/R8aWkpGhoaQnvxhLBCBFqcEimBJhwyXVhYyA+ZHhwc5EssSTIjgRBHSEJD/MFXWSTrErynURqPnBGP4ym4O4G6ZxcO4N+iXY1oYy3WyLtvJkHkfGqy38OsRfhTwuh0KrtjUrw5aS5aXqQBnu6ZF5HG2r30jsnNQ5NzzrztR8oZA0YaAkLTNFpaWtDZ2YnCwkIUFRXxYkuv1yMjIwMZGRnYuHEjrr/+evziF7/AsWPHUFNTg8zMTBw+fBiPP/44jEYjFi5ciMrKSqxbtw7//u//HpbrN5vNKC8vx80334xrr73W5/b79u3Dnj17+O9dLhfKy8vxgx/8QLTd4sWL8be//Y3/Xml8AGHyQn5jcYBciaNer4dFOO8lxPgaMs2VWDIMA5qmSSkjgRCPeFs8qojnV7uv4ukdTtnjcstdSq1ICANq4tvDJtrkFvwmC1iWAaUQrKAKoUjzNc9LSXj5CtpQUYrImi3yox1kRBprtXnOPvM4oKBHTY044winMHNvoP5apiBScTY0NISGhgYkJCSguroaqanyaaUMw+DFF1/Ejh07sHr1ahw6dAiFhYX88yzLoqOjA7W1taitrcXw8HDYXsOVV16JK6+8UvX206ZNw7Rp0/jv33zzTYyMjODHPxavoXQ6HfLy8kJ2nYTIQwRanBKukBC73Y7W1lZ0dnYiLy8Pa9askR0yrdVq4XA48J2UH4X8GggEQgzgJZ7fq1jzw5Xz6ch5EQOK4i2MgQKqRZtap8qfUkj++O4be7xQ81beKIfV5jvynsObO6Z2O4mLxrlhLE3LizRuO6HQE0TrK26vUpixTpfvvzsizrwiFWYOhwNnz57F0NAQiouLMXv2bMVgj+bmZmzevBkNDQ3Yv38/vv/973tsS1EUCgsLUVhYiO9+97thex2h4A9/+APWrl0rEpgA0NTUhPz8fCQmJqKmpga7d+9GQUFBlK6SEAhEoMUBSg5aKEsc/R0y/W+5/y9k5yYQCDGMjODyvjj1vvC+cNjghJSSeKMMPmZ1hZiQD0pW+NmykgU/L9T8fL2sy3VhrleijJCUfi4JxZc398zhULx2pVJHWZHGsH7H4fu9PcMq/v2REBBlpMKMZVn09PSgsbERmZmZqKmpQaLc3xTcIu6JJ57Anj17cOONN+KNN97wmLc61ejp6cF7772HF198UfR4dXU1Dhw4gNLSUvT29uL+++/HN77xDZw+fdpjXUaYvBCBFqeEKsWRDJkmEAiTDW+LXDXiLahzKzgpkRRu0gHK4RzUzZ0rkHOwNpu8SJMyIYBYh1Oxb5B1uD/PKAV3jrVYAZnfvVSkKcbhy7ho/ggzVlLSyQktfq4ZCQHxilScmc1m1NfXw2KxYPHixcjJyZHdj2VZHDt2DBs3boTL5cK7776LSy65JCai859//nlMnz7dI1REWDK5bNkyVFdXo7CwEK+88gpuueWWSF8mIUCIQIsDwuGgMQyD7u5uNDc3IyEhgQyZJhAI4UFp4elnwAh/uImFsDQJUqMP78dhNIWb0GXje9b8KG+Uumc8AtHAWm0XRJqC2GBlyupFIs3LZxInwLyJNO4cSiINNO1VpIl+R3JJiwKRFow4k57b675EmIm+ZxgGbW1taG9vx6xZs1BRUaEYgDE+Po4HHngABw4cwJ133okdO3aIeuGnMizL4o9//CN++MMfIsFHGfD06dOxYMECNDc3R+jqCKGACLQ4JdAeNJZl0d/fj8bGRgAgQ6YJBEJ0kFuYBija3NH98gvlaDhuIRVtEiEmLYkUOV++xICvU3FumrfZZ3L72Wyi0BAq0fvrl4o0Trzx30tEmkhMKYg0xmr1TO9UEGmswyk/Y4/bzVcACqBKWMVzOSPgKc5GRkZQX18PiqKwfPlyUViGEJZl8c4772Dbtm0oKirCsWPHsGjRokhccsT45JNP0NzcrMoRM5lMaGlpwQ9/+MMIXBkhVBCBFgcoOWg0TYNhGI9B0XKwLIvz58+jsbERdrsdxcXFmDVrluKQaTLLjEAgRJwQu22AssMRTuEWdtEmPJegHNKvcyiJB5oGOzH7THXZo7T8z2YXiTSpAOMeC7mTxjBeRZroOuRi+REacUZcM7EwczqdaGpqQm9vL+bPn4+CggLFdUtvby+2b9+OTz75BHv27MGtt96qao0TLUwmk8jZamtrQ21tLTIzM1FQUIAdO3agu7sbL7zwgmi/P/zhD6iursaSJUs8jrl9+3ZcffXVKCwsRE9PD+69915otVrccMMNYX89hNBBBFqcote7P9icTqdPy186ZLqgoMBjiCOZZUYgECYtXoRboGEhkRZuAYk2P1MaGesFd02TlDRxiMDFgLA/jTGZfTpjon0lIk12GxnhJnre5XKXJcohEGlCh01JpMkKL4FIUyXM3Cfw8TRxzTi4ip2zZ88iLS0NNTU1HqnQHDRN48CBA9i1axf++Z//GWfOnMHMmTMjddkBc+zYMVx++eX891u3bgUArF+/HgcOHEBvby86OjpE+4yNjeH111/Hvn37ZI/Z1dWFG264AefPn8eMGTOwZs0a/OMf/8CMGTPC90IIIYdi1b+BB1f7QIgqDocD0t/1Bx98gNWrVyvOCpEOmS4qKuKFHQcRZgQCIdYItcgKd5mk6FxC0eZPn5mSkIFCyaEXB032+ILHRcdT0Z9F6b04ZRN9a3Lb8M8p/PxZl0txLIJQpAXTQ3ZhQ+KaeUPqmlmtVjQ0NGBsbAylpaWyrRQc9fX12LRpEzo7O/Hkk0/i6quvjokQEEJM4/MPlDhocYxSUIivIdMAEWYEAiF2kVt0ByOyIum2SZ22UAzbFs4EoxINF5wxqYOnQpwJj+fNIRPuwzqdXgWYt22Ex5L9ecv1meGCkxa0OCPCzCtyISCdnZ1oaWlBbm4uVq9erRiCYbPZ8Jvf/AaPPfYYbr31Vrz33ntIT0+PxGUTCGGHCLQ4gaIoDwdNKtDUDpkmwoxAIMQbHovxib62YOaphVoIyp5DJm1QKtq8uWcexxOINaEYDKRHjhd6KgZXSwUYK3NzUbiN7POCSH1RoiT32SgNu+J+dnKz+MItzmJcmAGe4mx8fBx1dXWgaRoVFRXIzMyU3Y9lWXz66afYtGkTDAYDPvroI1RXVxPXjBBTEIEWx3BJji6Xi4+t5YY9yg2ZBsgsMwKBQBAu2OUW2VNOtKkQSBd2VhhkrZDgqEbIeKQuKjlxXsoZAQA0A5aeEI1amWAIl8stzJR+nkI3TSTgGP53rur1cI6dt6THOBZnUmFG0zRaWlrQ2dnJt1NI+9w5RkZGsHPnTrzyyiu45557sG3bNo/WCwIhFiACLU6Qu7Ok1WrR19eH+vp6xSHTAInMJxAIBB4ViZBTTrRJR674I9gkCIM7vMbtS+P/J67Bq5tGu4WLVxEm3Fb4vPA1cj9P4YBqSSmjx+9LpWgSlWYK/g74gdRxLMwA4OHjd6Onpwfp6elITk7G+fPn0dDQgMTERFRXVyv2xDMMg4MHD+KOO+7A0qVLUVtbi+Li4ghfPYEQOYhAi0MYhkFPTw+Gh4eh0+nIkGkCgUBQi3QRrTLCfyqJNkWRpRQ6oiA6+BJIqejyEl6iuI8cQhFGy4gb7jEl4TOR5CjXZ8YyrOj3o1Tiqvi8zPF8bOD9+SnOC92Pw2g0wmg0oqurC0ajEcxEae306dORl5fHV/RIB093dHRg69at+PLLL/HII4/gxhtvnNTR+QRCKCACLU7getD6+/vR1NQElmWRmZmJ5ORkj+hVTpixLIvvpf84SldMIBAIU4AgBmZPBdEmjbKn9JJlg5LwEP5chO6VV4dMcP3cPtz2cgLM2+PcZfgoN/QaAsK9NrnfMfcYpVGf5Ch/ksD3nQIIyxmnTZsGlmXR3d2NxsZGZGVlYcaMGbDZbBgYGEBLSwtefPFFHDlyBGVlZViyZAksFgv+9Kc/4Xvf+x7q6upIVDwhbiAx+3HC0NAQvv76a9jtdsyfPx+zZ89Ga2srLBYLli1bBgCiIdMMw+DaaTdH+aoJBAIhRghiWLZ799AEIPgSbD6dHuGx9Dp1Ak3m+B5CD1BMgXTvIP/zk4oj6evzeF7oigXpavm1v/T6Y1yYAZ69ZiaTCfX19bDZbCgrK5O9OdzV1YVPP/0UR44cwZdffom2tjZYLBbMnj0blZWVqKioQGVlJSorK1FYWBjWYJDDhw9j7969OH78OHp7e3Hw4EFcc801itt//PHHoplmHL29vcjLy+O//93vfoe9e/eir68P5eXleOKJJ7By5cqwvAbCpIXE7BPcUBSFvLw8FBYW8s23Op0OLpdLlMzIMAwoioJGo/F4cwVAAkIIBAIhEIJw2ty7h8Zt8+ay+SPOALH7JBJGPsSZx756nVdx5t7PMypf7rUII/Vln1f7GkOdwBgHgoxDLjqfCyLjhJa0jBFwr1OysrJw+vRpvPzyy9i4cSN27doFp9OJU6dO4eTJkzh58iTefPNN1NXV4aqrrsJbb70VttdhNptRXl6Om2++Gddee63q/c6ePSuK+8/JyeH//+WXX8bWrVuxf/9+VFdX47HHHsO6detw9uxZ0XYEAnHQ4gSGYTxmnnV3d6OzsxPLly/nhRn3JYVlWfT19aGlpQUajQbFxcWYMWMGKIoioo1AIBBCRSBOm2DxH2hJoyjQIgS9bHLiUVHUTFy/3HmV9lESYNJjyv48vTlbEAs/6euI914yX0jF2fDwMOrr66HVarFo0SLFOWUsy+Kjjz7C5s2bkZ2djf3796OqqkrxPDabDcPDw8jPzw/p9StBUZRqB21kZATTp0+X3aa6uhorVqzAk08+CcC9NpszZw42btyIu+66KyzXTpiUEAeN4AnnmBkMBoyOjuLIkSNIT08XfXGDIVmWxfnz59Hc3AyHw4H58+dj5syZogZd4rQRCARCiPDHaZPZNhR9aL7KBr3vzCUtivf3Jc6k5/W6DwDWNXHD0ZcAkwo16c/MRy+ZX65iHIsz6TrA6XSiqakJfX19mDdvHgoKChSDPQYHB3H33Xfjr3/9Kx544AFs2LBB1mETkpiYGDFx5i8VFRWw2+1YsmQJ7rvvPlx88cUAAIfDgePHj2PHjh38thqNBmvXrsXnn38ercslTFKIQIsTuJAQYZ/ZtGnTcNlll8FoNGJ8fBzj4+Po6emB1WpFYmIikpKSYLPZ4HA4MHfuXFF5pC+IaCMQCIQQEeTC32eflg8RolqwKZU2CvcXCiovr4vfR60A47ZVOibLeCQzKl6jvxBhxsOFkZ09exZpaWmoqalBUlKS7L4Mw+Avf/kLduzYgVWrVuGrr77C3LlzI3DV4WHmzJnYv38/li9fDrvdjmeffRaXXXYZvvjiC1RVVWFoaAg0TSM3N1e0X25uLhoaGqJ01YTJChFoccLJkyfR39+PZcuWIS0tDVqtlu81y8zMRGZmJr/tyMgImpqaMDo6iuTkZOj1erS0tPCzS7ivtLQ0vwZEEtFGIBAI0UdWjPjTDycn2NSKFH/FjFoBJrkupdJEv2eTqb22OET6mW61WlFfXw+j0YjS0lLk5uYqhni0tLRg8+bNqK+vx+9//3t8//vfn/LR+aWlpSgtLeW/X716NVpaWvDb3/4Wf/rTn6J4ZYSpCBFoccKnn36Khx9+GN3d3SguLuZTkKqqqlBRUYGUlBQ0Nzdj586dAID77rsP5eXlMBgMANzWPOe0jY2NobOzEzabDcnJyR6izVdpghAi2ggEAmESEMy4AC9JicqnE4siVfv40RvGp0VqKEUB5nc/mUr3L9aRCwHp6OhAa2sr8vLysHTpUsWbtw6HA0888QT27NmDG2+8Ea+//joyMjIicdlRYeXKlTh69CgAIDs7G1qtFv39/aJt+vv7RSmPBAJABFrcsHHjRmzYsAG9vb04duwYjh07hiNHjuCxxx7DwMAAcnNzMTw8jIsuugg/+9nPUFBQwPehAUBCQgKysrKQlZXFP+ZwOPjSyJGREZw7dw52ux0pKSkeok1taSRARBuBQCBMCkI0lFtN0Ia/+6h1vQJyx7yUScY70s/nsbEx1NfXg6ZpVFZWKootlmVx7NgxbNy4EQ6HA++++y4uueSSsMbkTwZqa2sxc+ZMAO511EUXXYRDhw7xYSMMw+DQoUPYsGFDNC+TMAkhKY5xjMlkwqOPPoq9e/eipKQEK1euRHt7O44fP46RkREsWrRI5LQtWbIEBoPB6xuq3W7nRRv35XA4kJqaKhJtqampfok2OYhoIxAIhCjjb+okywQ9Ey5o1CY8EnikwszlcqGlpQVdXV2YO3cuioqKFEsUjUYjHnjgATz33HO44447sGPHDiQmJkbisoPCZDKhubkZAFBZWYlHH30Ul19+OTIzM1FQUIAdO3agu7sbL7zwAgDgscceQ1FRERYvXgybzYZnn30WTzzxBD744ANcccUVANwx++vXr8fTTz+NlStX4rHHHsMrr7yChoYGj940QkxDUhwJ8vz+97/H/fffj/nz5+Ptt9/GpZdeyj/HlSt8+eWXOHbsGN5++2088MADMJlMvGirqqpCVVUVFi9eDL1ez4s2g8GAGTNm8AMoWZYVibbBwUG0tLTA5XLJOm3+1KATp41AIBCijFqXTSnYQ+0+araX28/bgGg/+tviFbnP2cHBQTQ0NCAxMRGrVq1CSkqK7L4sy+Ldd9/Ftm3bUFhYiGPHjmHRokXhvuSQcezYMdHg6a1btwIA1q9fjwMHDqC3txcdHR388w6HA9u2bUN3dzeSk5OxbNky/O1vfxMd47rrrsPg4CB27dqFvr4+VFRU4P333yfijOABcdDilJ07d2L58uX4zne+o6rEgGEYtLa28qLt+PHjqK2thc1mw5IlS0SiraysDDqdTvG4LMvCZrN5OG00Tcs6bcE0DhPBRiAQCFMMf8US6Q0LC1JxZrfbcfbsWZw/fx4lJSWYNWuW4ud8X18ftm/fjr///e/YvXs3fvKTnwRdNUMgxBA+F95EoBEChqZpNDU18aLtxIkTqK2tBU3TWLZsmag8csGCBV7DQ1iWhdVqxfj4uCj2n2EYD9GWkpISsGgbGRnBTXO2BPqSCQQCgUCIaeSi87u6utDc3IysrCyUlpbyAWJSaJrG888/j507d2Lt2rXYt2/fpJ1XRiBEESLQCJHF5XKhoaGBDyLhRJtWq0V5eTkqKip40VZcXOz1jhrLsrBYLLxY44Qby7JIS0vzEG3enECulnx4eBhz585FQUGBSDASp41AIBAI8Y5UnJlMJtTV1cFut2PhwoXIzs5W3Le+vh6bN29GR0cHnnjiCdUVOgRCHEIEGiG6sCwLp9OJuro6HD9+HF9++SVOnDiBr776CgaDARUVFaioqODLI701GnPHE4o27guASLClp6cjOTkZdrsdra2t6O3txaxZszBv3jxROqU3iGgjEAgEQjwgFWY0TaOtrQ3nzp3DnDlzMH/+fMUbqjabDY888gh++9vf4tZbb8Uvf/lLpKenR+KyCYSpChFohMkHy7JwOBz4+uuv+X6248eP4/Tp00hJSRGVRlZVVWHOnDk+RZvZbBYJNqPRCJZlwbIskpOTMXv2bGRnZyM5OTmoO3pEtBEIBAIhltj+3q18UFdaWhpomkZzczN0Oh0WLVqkKLZYlsWnn36KTZs2wWAw4Omnn0Z1dTVxzQgE3xCBRpgacMEhp06d4kXbiRMncObMGWRkZKCyslLktOXn58uKNpvNhjNnzmB8fBxJSUnIzs6G0+nkRZtWq/Vw2hITE4loIxAIBEJc8ZbpeTgcDhiNRhiNRoyNjWF4eBgulwtarRbTp0/n2wmGh4exYMEC3kUbGRnBrl278PLLL+M///M/sW3bNtXVKQQCgQg0whSGK2esra0VOW0NDQ2YMWOGyGkrLy/Hu+++iz179mD58uV48sknkZ2dLRJeDMPAZDKJnDaTyQSdTufR00ZEG4FAIBBiEbkQkL6+Ppw9exbTpk1DSUkJXC4X3/fd19eHa6+9FgkJCXx646efforS0lIcOHAACxcujOj1Hz58GHv37sXx48fR29uLgwcP8oOf5XjjjTfw1FNPoba2Fna7HYsXL8Z9992HdevW8dvcd999uP/++0X7lZaWoqGhIWyvgxDXEIFGiC1YloXJZMKJEyd40XbkyBH09vYiLS0NK1euxIoVK7B8+XJUVlZ6iDQpNE17iDaz2QydTufhtPka0u0LItoIBAKBEE2k4sxisaChoQFGoxFlZWXIycmR/Zyz2Wz48MMP8Yc//AEdHR1gGAa9vb1wOp1YunQpqqqq+Jum5eXlYR1E/d577+HTTz/FRRddhGuvvdanQNuyZQvy8/Nx+eWXY/r06Xjuuefwm9/8Bl988QUqKysBuAXaa6+9hr/97W/8fjqdzmsoCoEQBESgEWKXr776Cr/4xS/w+eefY/PmzaiursbXX3/Nl0e2tLSgsLBQVBpZUVGBjIwMn6KNu3PI/ddkMiEhIUFWtAUDEW0EAoFACDdSYcYwDM6dO4fW1lbMnDkTJSUl0Ov1svu6XC4888wzeOCBB/Dd734XjzzyCHJycsAwDJqbm3Hy5EmcOHECJ0+exMmTJ/E///M/qKmpicTLAkVRPgWaHIsXL8Z1112HXbt2AXALtDfffBO1tbXhuEwCQYpPgaY8mIpAmMRs3rwZzzzzDH7+85/jz3/+M7KysgAA//Iv/wLA7bSNjIzwyZHHjx/Hc889h/b2dhQVFYlCSCoqKpCens6LNq72fvr06fz5hKJtfHwc/f39MJvNMBgMHqLNnzp86YcmQEQbgUAgEEKH9HNmbGwMdXV1YFkWVVVVyMjIkN2PZVmcPn0aGzZswPDwMF599VV885vf5D8rNRoNFixYgAULFuC6667j95nsMAwDo9GIzMxM0eNNTU3Iz89HYmIiampqsHv3bhQUFETpKgnxDnHQCFOSt99+G0uWLMHcuXNV78OyLAYHB/nSSG5OW3d3N4qLiz162lJTU706bcIafe7LYrEgMTHRQ7Qp3ZlUCxFtBAKBQPAHqTBzuVxobm5Gd3c3ioqKMHfuXMWEZIvFgt27d+Opp57Chg0bcO+99yIlJSUSl+0XgThoDz/8MPbs2YOGhgbk5OQAcJdNmkwmlJaWore3F/fffz+6u7tx+vRppKWlhevyCfELKXEkELzBsix6e3v5wdpcEMng4CBKS0t50cbV1SclJXkVbU6n00O0Wa1WJCUliQRbWlpaQKJtbGwMTU1NMJlM+O23nwvmpRMIBAIhBpGrzBgYGEBDQwOSk5OxcOFCRbHFsiz+/ve/Y9OmTcjKysLTTz+NysrKSRud769Ae/HFF/GTn/wEb731FtauXau43ejoKAoLC/Hoo4/illtuCdXlEggcRKARCP7Csiy6urrw5Zdf8i7b8ePHMTIygoULF4qctqVLl/oMD+Fi/oVfNpvNQ7Slp6dDp5OvOrZarWhubsbAwAAKCgowd+5cWYFHnDYCgUCIX6TizGaz4ezZs3xMfn5+vuLn1dDQEHbs2IG//vWvuP/++7Fx40bFz6TJgj8C7aWXXsLNN9+MV199FVdddZXP7VesWIG1a9di9+7dobhUAkEIEWgEQihgGAYdHR28aOOCSEwmExYtWiTqaVu8eDH0er1X0eZwODxEm91uR3Jyskfcf1dXFzo6OpCbm4vi4mK/07GIaCMQCITYRi46v6urC83NzcjOzkZpaalifzTDMHjppZdw1113obq6Gr/73e/8ah+IJmoF2l/+8hfcfPPNeOmll/Dd737X53FNJhMKCgpw3333YdOmTaG6XAKBgwg0AiFcMAyD1tZWkWirra2FzWbDkiVLRKKtrKwMOp3Oq2iz2+0iwTYyMgKapqHRaJCZmYmsrCy+PJIbFhooRLQRCARCbCAVZ0ajEfX19XA4HCgrK/MaFd/S0oItW7bgzJkz2LdvH37wgx8o9qVNFkwmE5qbmwEAlZWVePTRR3H55ZcjMzMTBQUF2LFjB7q7u/HCCy8AcJc1rl+/Hvv27cO1117LHycpKQnTpk0DAGzfvh1XX301CgsL0dPTg3vvvRe1tbWoq6vDjBkzIv8iCbEOEWgEQiShaRpNTU2i8sja2lrQNI2lS5fy5ZEXXXQRFixY4FE+wjAM3nzzTeTk5ECj0WDu3LnQ6XR85P/Y2BhcLhdSUlJETltqaioRbQQCgRBHSIUZTdNoa2vDuXPnUFBQgHnz5il+LjidTjzxxBPYs2cPbrjhBjz00EMeqYaTlY8//hiXX365x+Pr16/HgQMHcNNNN6G9vR0ff/wxAOCyyy7DJ598org9AFx//fU4fPgwzp8/jxkzZmDNmjX41a9+hfnz54fzpRDiFyLQCIRo43K50NDQwAeRcKJNo9GgvLycF20AsG/fPnR2duK1115DdXW1x51MlmU9nLbx8XG4XC6kpqZ6iLZg74QS0UYgEAiTC7kQkPPnz6O+vh56vR6LFi1STB5kWRbHjx/Hhg0b4HA4sH//flx66aWTNgSEQIhRiECLNX73u99h79696OvrQ3l5OZ544gmsXLlScftXX30VO3fuRHt7O0pKSvDQQw/xs8IA9z7MeaIAACAASURBVJv1vffei//6r//C6OgoLr74Yjz11FMoKSmJxMuJS1iWhdPpRF1dHY4fP45Dhw7hf//3fzE2NoYlS5Zg+vTpKC8v58sji4qKvAotlmVhs9k8RBtN00hLSxOJtpSUFCLaCAQCYYoiFWcOhwONjY0YGBhAcXEx5syZoyi2jEYjHnzwQfzxj3/E9u3bcffdd/vd00wgEEICEWixxMsvv4wf/ehH2L9/P6qrq/HYY4/h1VdfxdmzZ/lZHkI+++wzXHLJJdi9eze+/e1v48UXX8RDDz2EEydOYMmSJQCAhx56CLt378bzzz+PoqIi7Ny5E19//TXq6urIG3eYGRkZwa9//Ws8+eSTuP7667Fz504MDw+L4v5Pnz6NlJQUUXJkZWUlCgoKfIo2q9XqIdpYlvUQbcnJyUS0EQgEwiRGLgSkt7cXjY2NmD59OsrKyhQ/s1mWxXvvvYetW7eioKAATz/9NBYvXhyJyyYQCPIQgRZLVFdXY8WKFXjyyScBuPuV5syZg40bN+Kuu+7y2P66666D2WzG22+/zT+2atUqVFRUYP/+/WBZFvn5+di2bRu2b98OwD1nKzc3FwcOHMD1118fmRcWhzQ0NODiiy9GVVUVfvOb36C8vNxjG84Z++qrr0Si7cyZM5g+fbpItFVVVSE/P9+naLNYLCLBZjQaZUVbSkpK0CUvRLQRCARC8EjFmcViQX19PUwmE8rKypCTk6P4ft3X14c77rgDH330EXbv3o2f/OQnQfcrEwiEoCECLVZwOBxITk7Ga6+9JoqTXb9+PUZHR/HWW2957FNQUICtW7diy5Yt/GP33nsv3nzzTZw6dQqtra2YP38+Tp48iYqKCn6bSy+9FBUVFdi3b194X1QcwzAMDh8+7HftPyeyamtrRaKtoaEBM2bM8BBtubm5Xo/PsizMZrOHaKMoStZpI6KNQCAQIoNUmDEMg3PnzqG1tRX5+fkoLi6WnYfJbfv888/jnnvuwRVXXIHHH38c+fn5kbhsAoHgG5+Lqck9gZDAMzQ0BJqmkZubK3o8NzcXDQ0Nsvv09fXJbt/X18c/zz2mtA0hPGg0Glx22WV+70dRFFJSUnDxxRfj4osvBuAWWSaTCSdOnOBF2+uvv46mpibk5+fzoo0TbtnZ2bzQoigKqampSE1N5T+8GYYRibbOzk4YjUZoNBoP0ZaUlOSXaHvTeACDg4NobGyEVqvFnn/e7/fPgEAg/P/27jwsiittG/jdNDT7KvsOIohsDY0gkBmXENFkJvF1JtF8MxESs05cEI1Go6JxX8YhilFiVHTeJKiJ4psxIUYyaIzoQDfIjoAggjQisnSz213fH1zUWDSLqKw+v+vySihOFacQm7r7nPMcMtatSf4b8vPz2dfcBw8eoLCwEAAgEolgZGTU67kFBQVYunQpysrKcPToUbzyyitUBISQUYYCGiGjXNdo19SpUzF16lQAnaGtoaEBEokEaWlpkEgk+Oabb1BcXAx7e3sIhUJ2lM3X1xfGxsbsL/CuIKavrw8bGxsA/w1tDQ0NaGxsRFlZGeRyOfh8PiewdW2u3dPDgEwmQ2FhIeRyOVxcXGBtbY2z8iCVdjTKRgh5ViXK4tmp6DKZDFVVVSgoKADDMBAIBBg3bhxkMhkAgM/nc6o1trW14e9//zv27NmDhQsX4ty5czAwMBiuWyGEPAEKaKOEqakp+Hw+qqurOcerq6thaWnZ4zmWlpZ9tu/6b3V1NaysrDhtHp7ySEYfHo8HIyMjzJgxAzNmzADQGdrq6uogFouRlpYGsViM+Ph4lJWVwcnJiTM1UigUwsDAoMfQ1kWpVEIul7MjbaWlpZDL5VBXV+cENk1NTdy+fRvV1dWwt7eHj49Pr9NygJ5LSFNoI4SMZQ+/7unq6kJXVxd8Ph9SqRRGRkZwcnLCgwcPIJPJUFNTA7FYjDfeeAN2dnZwd3eHnZ0dfvrpJ+jp6SE5ORlTpkwZ0lGzS5cuYdeuXRCLxaiqqsKZM2c4yzF6kpKSgqioKOTm5sLOzg5r165FREQEp81AK1cTMlbQGrRRJDAwEAEBAdi3bx+Azgdke3t7LFq0qNciIc3Nzfj+++/ZY8HBwfD29uYUCVmxYgWWL18OAGhsbIS5uTkVCXlGMAyDmpoadmpk1z5tlZWVcHFx4UyN9PHxgZ6eXp+/9BUKBRvaGhoaUFtbi/b2dqipqcHQ0BDGxsYwMDCAvr7+E1cJpdBGCBkLur8p1draioKCAtTX18PV1RVWVlYqr7tKpRJlZWW4ePEiEhMTUVxcjLq6OjQ0NGD8+PHsm21dsyTMzMwG9R5+/PFH/PbbbxCJRJg7d26/Aa20tBSenp54//338fbbbyM5ORmRkZE4d+4cwsLCAAy8cjUhowgVCRlLTpw4gfDwcMTFxSEgIAAxMTE4efIkCgoKYGFhgQULFsDGxgbbtm0D0Flmf+rUqdi+fTteeuklJCQkYOvWrSpl9rdv384ps5+VlUVl9p9hXeWbuzbWFovFkEgkuHv3LlxdXTmhzdvbW6V4iFKpxD//+U/Y29tDR0cH48ePh7q6OqcQSVNTEwQCgcr0SE1NzSfqO4U2Qsho0VPp/Nu3b6O4uBjm5uZwdXWFQCDo8VylUomzZ89ixYoVmDRpEg4cOABXV1fU1NQgIyMDEomE/VNSUoILFy7g+eefH4rbAo/H6zegrVq1CufOnUNOTg57bP78+aivr0dSUhKAgVeuJmQUoSIhY8m8efNQU1OD9evXQyqVQigUIikpiS3yUV5ezimzHhwcjK+//hpr167FmjVrMGHCBCQmJrLhDABWrlyJpqYmvPvuu6ivr8dzzz2HpKSkQQtnA5mucOjQIRw/fpx9AReJRNi6dSunfUREBI4d4/6SCwsLY1/gycDxeDxYW1vj5Zdfxssvvwyg88GhoqKCDW3JycnYuXMn6urq4O7uzoY2dXV1HDhwAHfv3sXXX3+NgIAANrw9vKi9a6pOV2CTSqVobm6GpqamSmjr7QGlJzQ9khAyGnR/rZLJZMjLy0NHRwd8fHwwbty4Xs+9ffs2li9fjqtXr2L37t1YsGAB+7vfzMwMM2fOxMyZM9n2DQ0NI+4N19TUVISGhnKOhYWFsVWn29vbIRaLsXr1avbzampqCA0NRWpq6pD2lZDhQCNoZMgMdLrCX/7yF4SEhCA4OBhaWlrYsWMHzpw5g9zcXLZ4RUREBKqrq3H06FH2PE1NTRgbGw/ZfT2rlEolysvLkZaWhuTkZJw5cwa1tbVwd3eHhoYGfHx82Ck2kyZNgkAg6HN6ZEdHBye0NTY2oqWlBVpaWiqhra81bI+CQhshZDh0D2YKhQI3b95EeXk57O3t4ezs3Os+ZQ8ePMAXX3yBTz/9FC+//DL27NkzIqf6PcoImqurK958801OAPvhhx/w0ksvobm5GXV1dbCxscGVK1cQFPTfYlIrV67ExYsXce3atUG9B0IGGY2gkZFjz549eOedd/Dmm28CAA4ePIhz587hyJEjPU5X+Oqrrzgff/nll/juu++QnJyMBQsWsMc1NTV7LZRCBo+amhrGjRuHjIwMHD9+HK+99ho2bdqEtrY2pKWlIT09Hd999x3WrVuH1tZWeHp6slMjfX194e7uDnV1dTa0aWhowMTEBCYmJuzX6Ojo4AS2yspKtLS0QFtbmxPY9PX1BxTaaKSNEDKUenrNqa2tRX5+PgQCAQICAjhFmLrLzs7G4sWLce/ePZw8eRJhYWFUOp+QMYwCGhkST2O6QnNzMzo6OjgP8EBnJShzc3MYGxtjxowZ2Lx5c5/TQ8jTcffuXXh7e8PV1RW//vorRCIR+zkXFxe8/vrrADrfIS4qKmJD2zfffIOVK1dCoVDAy8uLnR4pEong6uoKdfX/vixpaGhg3LhxnL/P9vZ2dqStoaEBt2/fRmtrK3R0dFRC28PX6g+FNkLIYOj+2tLe3o4bN26gpqYGLi4usLW17TVsNTc3Y/v27fj888/x4YcfIjo6Gnp6ekPR7UHVW5Xprv01+Xz+gCtXEzKWUEAjQ+JxNtrubtWqVbC2tubMW581axbmzp0LJycnlJSUYM2aNZg9ezZSU1N7nSZCng5zc3N8++23CAkJ6fOdXD6fj4kTJ2LixIl44403AHSGtoKCAja0HTt2DMuWLYOamhp8fHw4hUhcXFw4f5ddewF1D21do2x1dXW4desW2traoKurqxLaBvJzQaGNEPK4eioCcufOHRQVFcHY2BhBQUG9rg1jGAYpKSlYsmQJjI2N8euvv8LPz2/MjJoFBQXhhx9+4Bz7+eef2emMAoEAIpEIycnJ7FRJpVKJ5ORkLFq0aMj7S8hQo4BGRoXt27cjISEBKSkpnF9oD28F4OXlBW9vb4wfPx4pKSlDVrHqWfbcc8891nl8Ph8eHh7w8PBAREQEGIZBR0cH8vPzkZ6ejrS0NMTFxSErKwuampoQCoUQCoVsaHN2duYUxBEIBDA1NYWpqSl7rK2tjQ1ttbW1KC0tRXt7O/T09DihTU9Pb8Chrb29HSUlJbhz5w7s7Ozwkd+Wx/o+EELGpu7hrKmpCfn5+WhubsakSZP6XDt27949fPLJJ0hMTMTGjRuxZMmSAc0GGA5yuRzFxcXsx6WlpcjMzISJiQns7e2xevVqVFZW4vjx4wCA999/H7GxsVi5ciXeeust/PLLLzh58iTOnTvHXiMqKgrh4eHw9/dnK1c3NTWxyyQIGctG9r94MmY8zkbbXXbv3o3t27fjwoUL8Pb27rOts7MzTE1NUVxcTAFtFOHxeBAIBPDx8YGPjw8WLlwIhmHQ3t6O7Oxsttz/3r17kZOTA11dXfj6+kIoFLKFSOzt7TmhTVNTE2ZmZuz+PwzDcEJbTU0NSkpK8ODBgx5H2h6+VhelUomKigqUlJTAyMgIU6ZMga6uLo20EUIAqAazrv3KSktLYWNjA6FQ2GvYUiqVOHHiBD7++GNMnjwZWVlZcHJyGopuP7H09HRMnz6d/TgqKgoAEB4ejvj4eFRVVaG8vJz9vJOTE86dO4dly5bhs88+g62tLb788kt2DzSg/8rVhIxlVMWRDJmBbrQNADt37sSWLVvw008/YcqUKf1+jYqKCtjb2yMxMZEtEU/GDoZh0NraiqysLDa0icVi5ObmwsjIiDM10s/PD9bW1j0Gre7Xe7gQSWNjIxQKhcpIW1tbG4qKigB0ViB7eLTuUVFoI2Rs6ulNmvr6euTl5YHH42HSpEkwNDTs9fybN28iMjISOTk5iImJwWuvvdbnaxchZFSjjarJyDHQjbZ37NiB9evX4+uvv0ZISAh7HT09Pejp6UEul2Pjxo3405/+BEtLS5SUlGDlypWQyWTIzs5+4k2PyejAMAyam5uRmZnJCW0FBQUwMzPjhDZfX19YWlr2uY6DYRi0tLSwYa2+vh6NjY1gGAZaWloYN24cDA0NYWBgAF1d3Sd+iKLQRsjo1j2cdXR0oLi4GHfu3IGzszMcHBx6fZ3o6OhAbGwstm3bhtdffx07duxQKYRF+mdra4s1a9bgb3/7G3vsypUrCA0NRX5+PhwcHIaxd4SooIBGRpbY2Fh2o2qhUIi9e/ciMDAQADBt2jQ4OjoiPj4eAODo6Ihbt26pXCM6OhobNmxAS0sL5syZg4yMDNTX18Pa2hozZ87Epk2baArEM45hGMjlckgkEk5oKyoqgpWVlUpoMzMzUwlttbW1+Pe//w1jY2NYWVnB2tqaE9xkMhkYhoG+vj5npE1XV/eJF/JTaCNk5OupCMjdu3dRUFAAPT09uLu7Q0dHp8dzGYaBRCLBokWL0Nrairi4OEydOnXMFAEZan/6059gYGDA7onKMAwCAwPxwgsvYMsWWiNMRhwKaIQ8Tfv372cDpo+PD/bt24eAgIAe28bHx6ssZtbU1ERrayv7McMwiI6OxqFDh1BfX4+QkBAcOHAAEyZMGNT7eBYxDIOGhgZIJBKkpaVBIpFAIpGguLgY9vb27Ho2b29vZGZmYu/evRAKhUhISOhxf6Kukbvu0yN5PJ5KaNPR0aHQRsgY0j2ctbS0oKCgAA0NDXBzc+tzpF4mk2Hz5s04fPgwli9fjk8++aTXao7k0ezatQvHjh1DTk4OAOD48eNYtWoVioqKxsS2BGTMoYBGyNNy4sQJLFiwAAcPHkRgYCBiYmJw6tQpFBYW9liRKz4+HkuXLkVhYSF7jMfjcUb3duzYgW3btuHYsWNwcnLCunXrkJ2djby8PPqFPQQYhkFdXR3EYjHS0tLw008/4erVq9DS0oKrqyvs7OwgEong5+cHoVAIAwODPoOWUqlUCW0ymQw8Ho8T2Lr2+qHQRsjo0tOoWXl5OUpKSmBhYYEJEyZAIBD0eC7DMEhKSkJUVBRsbW0RFxcHT0/Poej2mPfrr79i2rRpaGhoAI/Hg5ubGzZu3IiFCxcOd9cI6QkFNEKelsDAQEyePBmxsbEAOh/G7ezssHjx4h6LnMTHxyMyMhL19fU9Xo9hGFhbW2P58uVYsWIFAKChoQEWFhaIj4/nbCFABld5eTlWrVqFf/3rX1i9ejX++te/Ijc3F+np6UhPT4dEIkFlZSVcXFw41SOFQiH09PT6DW1NTU0qoY3P56uENi0tLQpthIxQR27tgb6+PhvAGhsbkZ+fj46ODkyaNKnPtWNSqRQrV67EhQsXsHXrVrz33nu0V+dT1NzcDENDQyQnJ+PChQv4/vvvIRaLqdAKGan6/UVPZfYJeQTt7e0Qi8VYvXo1e0xNTQ2hoaFITU3t9Ty5XA4HBwcolUr4+flh69at8PDwANC5T4xUKuVsvG1oaIjAwECkpqZSQBsi3377LcLDw/HnP/8ZhYWFsLa2BgDY29tj9uzZADrDdFVVFRvYLl++jL1796K6uhpubm6cNW3e3t6cKY1qamrQ19eHvr4+bGxsAHSGNrlczga20tJSyOVyqKurq0yPHGhoo5L/hDxdMdkb2DDW0tICLS0tqKmpoaWlBebm5vD29oa2tnaP5yqVShw/fhyffPIJZsyYgZycHNja2g7xHYx9Ojo68PLywnfffYdDhw7hhx9+oHBGRjUKaIQ8gnv37kGhUKgUH7GwsEBBQUGP57i5ueHIkSPw9vZGQ0MDdu/ejeDgYOTm5sLW1hZSqZS9Rvdrdn2ODL7Jkyfjl19+YYvV9ITH48Ha2hovv/wyu30DwzCoqKhgQ1tycjJ27tyJuro6uLu7c0Kbl5cXNDU1OaGtK4B1USgUnNB28+ZNNDU1QV1dXWWk7eFrPQoKbYQMXE//bqRSKfuab2JiAplMhsuXL0NTUxOXLl1CQ0MDRCIRgoKC0NraiqVLl6K0tBRHjhzBnDlzhqUIyEDWTk+bNg0XL15UOf7iiy+ym0hHRETg2DHu9yYsLAxJSUlPv/MDMGXKFOzbtw+vvPIKpk2bNqx9IeRJUUAjZJAEBQUhKCiI/Tg4OBju7u6Ii4vDpk2bhrFn5GEODg6PVYKZx+PBzs4OdnZ2+J//+R8Ane+Wl5eXIy0tDenp6Th37hw2bdoEuVyOSZMmcUKbh4cHBAIB+8DG5/NhaGjI2StJoVBAJpNxNteWy+UQCAQ9hraBOCs/BqVSidu3b+PmzZswMTHB+pA9A/4+EDIWdQ9nbW1tuHHjBu7duwcXFxfY2tqy/3Y7Ojogk8mQn58PiUSC77//HhUVFdDQ0ICVlRX+3//7f1BTU0NlZSVsbGyGNKSdOHECUVFRnLXTYWFhva6dPn36NNrb29mPa2tr4ePjg1dffZXTbtasWWzFRAAjYlsbHx8faGhoYNeuXcPdFUKeGK1BI+QRtLe3Q0dHB99++y3mzJnDHg8PD0d9fT3Onj37SNd59dVXoa6ujm+++QY3b97E+PHjkZGRAaFQyLaZOnUqhEIhPvvss6d+H2ToKZVK3Lx5kw1tYrEYmZmZaGlpgaenJ2djbXd3d6irq/f5ANc9tDU2NqKpqQmampoqoa23YgVA54NXVwEbNzc3jBs3TqUNjbKRZ01PRUDu3LmDGzduwMTEBG5ubr0WcGIYBqmpqVi8eDE0NTXx7rvvor29HRkZGRCLxcjPz8e4ceMgEokwc+ZMLFu2bNDvZ6Brp7uLiYnB+vXrUVVVBV1dXQCdI2j19fVITEwc1L4P1PTp0+Hn54e///3vw90VQvpDa9AIeRoEAgFEIhGSk5PZgKZUKpGcnIxFixY90jUUCgWys7Px4osvAgCcnJxgaWmJ5ORkNqA1Njbi2rVr+OCDDwbnRsiQU1NTg4uLC1xcXPD6668D6PxZKC4uZkNbQkICVq1aBYVCAS8vL3akTSQSwdXVFerq/32p5vP5MDIygpGREXvswYMHnNBWVVWF5uZmaGlpqYS2Bw8e4MaNG7h//z6cnZ1hZ2fX61oNmhpJniXdf96bmpqQl5eH1tZWeHp6wszMrNdz6+vrsX79enzzzTdYs2YNPvroI5U3SJqbm3H9+nVIJBIolcpBuYeHPe7a6YcdPnwY8+fPZ8NZl5SUFJibm8PY2BgzZszA5s2be3yTZ7AplUrU1NTg8OHDKCoqeuQ3SwkZ6WgEjZBHdOLECYSHhyMuLg4BAQGIiYnByZMnUVBQAAsLCyxYsAA2NjbYtm0bAODTTz/FlClT4OLigvr6euzatQuJiYkQi8WYNGkSgM4y+9u3b+eU2c/KyqIy+88ghUKBgoICNrRJJBJkZmZCTU0NPj4+nOmRLi4u/VaA65p21RXaGhoa2D34tLS0YGVlBRMTE+jr60NDQ+OJ+k6hjYxm3YOZUqlEaWkpysrKYGtri/Hjx3PeJHkYwzA4e/YsVqxYgYkTJ+LgwYNwdXUdim73686dO7CxscGVK1c40+1XrlyJixcv4tq1a32e/5///AeBgYG4du0aZ81aQkICdHR04OTkhJKSEqxZswZ6enpITU0d8sqUKSkpmDFjBiZOnIijR4/2uZaYkBGERtAIeVrmzZuHmpoarF+/HlKpFEKhEElJSWyRj/Lycs5IRF1dHd555x1IpVIYGxtDJBLhypUrbDgDOn9RNjU14d1330V9fT2ee+45JCUlUTh7BvH5fHh4eMDDwwMRERFgGAYdHR3Iz89Heno60tLSEBcXh6ysLGhqasLHx4ct9+/n5wdnZ2fOz5+GhgZMTExgZGSEzMxMAIC+vj6srKygVCrZkbbW1lZoa2urjLT19kDaExppI6NRTz+3dXV1yM/PB4/Hg7+/P2dNaHcVFRVYvnw5rly5gt27dyM8PHxMVQ48fPgwvLy8VAqKPFxh2MvLC97e3hg/fjxSUlLw/PPPD2kfp02bNiSjkYQMNRpBI+QZ86xU9BqLGIZBe3s7srOz2VE2sViM7Oxs6OrqcvZo8/PzQ11dHaKiolBRUYELFy7A3t5eZX1be3s7Zz1bY2Mj2traoKurq1Ly/0nfHafQRkaK7uGso6MDRUVFkEqlcHZ2hr29fa9hS6FQ4NChQ9i4cSP+8Ic/YM+ePSrVeEeCJ1k73dTUBGtra3z66adYunRpv1/LzMwMmzdvxnvvvfdU+k7IGEcjaISQ/3qWKnqNRTweD5qamvD394e/vz+AztDW2tqKrKwstgjJ9u3bkZeXBz6fDz8/P7z22mu4fv061NTUYGNjw3nwFAgEMDU1hampKXusra2NDWv3799HWVkZ2tvboaurywls+vr6AwptNNJGhltPRUCqq6tRWFgIfX19BAUF9bqnGQDk5ORg8eLFqKmpQUJCAmbNmjUspfMfxZOsnT516hTa2trw17/+td+vU1FRgdraWlhZWT2VfhNCaASNkGfKs1TR61nEMAy++uorrFy5Es7Oznj77bfR0NAAsVgMsViMgoICmJqactaz+fn5wdLSst+HzNbWVpWRtgcPHqiENj09PRppIyNS93DW0tKCgoICNDQ0wM3Nrc9/By0tLdi+fTv279+Pv/3tb9iwYQP09PSGottPZKBrp7v87ne/g42NDRISEjjH5XI5Nm7ciD/96U+wtLRESUkJVq5cCZlMhuzsbHpzjpBHQyNohJBOz0JFr2dZSUkJwsPDUVZWhj179mDevHmch02GYSCXyyGRSNiRttOnT6OoqAhWVlac0Obr6wszMzPO+VpaWtDS0mJHWhmG4Yy01dTUoKSkBA8ePICenp5KaBvI2hwaaSNPU09FQG7fvo2SkhJYWFggJCSk10I5DMPg4sWLWLJkCYyMjPDrr7/Cz89vxI6adTfQtdMAUFhYiMuXL+P8+fMq1+Pz+cjKysKxY8dQX18Pa2trzJw5E5s2baJwRshTRCNohDwjnoWKXs+ympoaxMbG4qOPPnrkd/YZhkFjYyMkEgnS0tIgFoshkUhQXFwMe3t7zno2X19fGBsb9/lg2jXdsvtIm0KhUFnPpqur+8QFFSi0kb70FPQbGxuRl5cHhUIBd3d3mJiY9Hr+vXv38MknnyAxMREbNmzA0qVLB1Q8hxBCetHvOzwU0Ah5RjxpQHvvvfeQmpqKrKysPtt1bcB94cKFIa/oRZ4cwzCoq6uDWCzmhLaysjI4OTlxRtqEQiEMDQ37DW0tLS0qoY1hGJXQpqOj89ihTalUory8HEs9ox/31skY0j2cPXjwACUlJaioqICjoyMcHR17fQNJqVTi5MmTWLVqFfz9/fH555/DyclpKLpNCHk20BRHQkgnU1NT8Pl8VFdXc45XV1fD0tKyz3ObmpqQkJCATz/9tN+v4+zsDFNTUxQXF1NAG4V4PB5MTEzwwgsv4IUXXgDQGbJqamogFos5Jf8rKirg4uKiEtr09PTY0Mbj8aCjowMdHR3254xhGDQ3N7NhrbKyEgUFBT2GNl1d3X6nk92/fx8FBQUAgKPl/1AZFaGRtmdHT6NmNTU1KCgogJaWFgIDA/scYS4tLUVkZCSysrKwd+9ezJs3b0yVzieEjA40gkbIMyQwMBABAQHYt28fysRLrQAAIABJREFUgM53iu3t7bFo0aI+i4TEx8fj/fffR2VlZb9ryyoqKmBvb4/ExES8/PLLT7X/ZORgGAZVVVVIT09nS/5LJBJIpVK4ublxQpu3tzd0dHT6HWlramrijLLJZDLweLweR9p4PB7a2tpw48YN1NTU9FsavTsKbWNP93DW1taGwsJC1NbWYsKECbCxsen1Z7CjowP79+/H1q1bMW/ePOzcuZPW0RJCBgtNcSSE/BdV9CKDiWEYVFRUsKGtq3pkXV0d3N3dOaHN09MTWlpafYY2pVKpEtrkcjl4PB4EAgFaW1thYGCACRMmwMjI6IkLN1BoG516Kp1fWVmJoqIijBs3Dm5ubr2+FjEMg4yMDCxatAjNzc2Ii4vDtGnTRk0REELIqEQBjRDCFRsby25ULRQKsXfvXgQGBgLo3Jja0dER8fHxbPvCwkJMnDgR58+fZ6e8dWlpacGcOXOQkZGhUtFrJG7cSoZe19qwtLQ0NrRJJBLIZDJMmjSJU+7fw8MDAoGgz4fj2tpa5OfnQ6FQwMDAAG1tbZDL5eDz+ZxRNgMDg34D4KOg0DaydQ9ncrkc+fn5aG1txcSJE2FmZtbruXK5HJs2bcLhw4cRFRWFtWvXQktLa7C7TAghFNAIIYSMLEqlEjdv3uSEtszMTLS0tMDT05MT2tzd3aGuro6KigosX74c2tra2LBhAxwcHNjpjEqlEnK5XGWkTV1dXSW0aWpqUmgbA6IvLeX8vaqrq+PWrVsoKyuDra0txo8f32vFRYZhkJSUhKioKNja2iIuLg6enp5DfAeEkGcYBTRCyNhy6dIl7Nq1C2KxGFVVVThz5gzmzJnT5zkpKSmIiopCbm4u7OzssHbtWkRERHDa7N+/nx1Z9PHxwb59+zjbCZDBpVAoUFxczIY2iUSCjIwMdHR0wNbWFlVVVfD09MSaNWswffr0fsudKxSKHkObQCDoMbQ9KQptQ+N0wxHIZDLO32tTUxOAzj26LCwsYGZm1msYl0qlWLVqFX7++Wds3boV7733Hm0HQggZahTQCCFjy48//ojffvsNIpEIc+fO7TeglZaWwtPTE++//z7efvttJCcnIzIyEufOnUNYWBiAzrV5CxYswMGDBxEYGIiYmBicOnUKhYWF7MbMZOhdvnwZ77zzDurq6vD73/8eFRUVuH79Ong8Hry9vTlr2iZMmNDvg7ZCoejx4V5TU1OlEAmFtpGn+3TGjo4O3LhxA1KpFDY2NtDW1oZMJoNMJoNcLsfnn3+OxsZGeHl5QSQS4d69e9i1axdmzJiBvXv3wtbWdpjuZGBvCMXHx+PNN9/kHNPU1ERrayv7McMwiI6OxqFDh1BfX4+QkBAcOHAAEyZMGNT7IIQ8FgpohJCxi8fj9RvQVq1ahXPnziEnJ4c9Nn/+fNTX1yMpKQlAZ3XLyZMnIzY2FkDnlDk7OzssXry4z+qWZHDU1NTg448/RkJCAtasWYMVK1ZAU1MTDMOgo6MD+fn5bLl/iUSCrKwsCAQCCIVCzubazs7O/VZ1fPDggUpoa25uhpaWlkpoEwgET3xvFNoGrqciIFKpFDdu3ICBgQEmTpwIbW1tThuFQoErV67g8uXLuHbtGvLy8lBZWQlDQ0MEBwdDJBKxf2xtbYe0KMhA3xCKj4/H0qVLUVhYyB7j8Xicdb47duzAtm3bcOzYMTg5OWHdunXIzs5GXl4erasjZOShfdAIIc+21NRUhIaGco6FhYUhMjISANDe3g6xWIzVq1ezn1dTU0NoaChSU1OHtK+k0//+7//i/v37yM3NhaOjI3u8q3qjj48PfHx8sHDhQjAMg/b2dmRnZ7NTI/ft24fs7Gzo6Oiwe7N1hbbupfjV1dVhbGwMY2Nj9lhHRwcntN25cwctLS3Q0tJSmR6poaExoHvraZ8uCm296/79amlpQX5+PmQyGdzc3GBhYdFjuOLz+QgICMBvv/2G3377DREREVi7di3KysrY6qJnz55Fbm4uTE1N8eqrr7Jv0Ay2PXv24J133mFHxQ4ePIhz587hyJEjvb4hxOPxet2vkmEYxMTEYO3atXjllVcAAMePH4eFhQUSExMxf/78wbkRQsigoYBGCBnTpFKpSkVJCwsLNDY2oqWlBXV1dVAoFD226dr8mAytyMhILFu27JHa8ng8aGpqwt/fH/7+/gA6H1hbW1uRlZXFFiHZtWsXcnNzYWRkBKFQyClEYmNjwwltGhoaMDEx4Wx43dHRwRllq6ioQGtrK7S1tTmBTV9fn0LbU9D9e9JVDbSkpARWVlbw8vLq9fvMMAyuXr2KJUuWgMfj4fz58wgODgaPx4OVlRWCgoLYts3Nzbh+/Trkcvmg3k+Xx31DSC6Xw8HBAUqlEn5+fti6dSs8PDwAdE7jlkqlnDeiDA0NERgYiNTUVApohIxCFNAIIYSMKE863YzH40FbWxuBgYHsFhIMw6C5uRmZmZlsaNu8eTMKCgpgamrKWc/m5+cHS0tLTj80NDQwbtw4zubF7e3t7EhbQ0MDbt++jdbWVujo6KiEtv6KmnTp2sMr8vsImJiYwM3NjZ2i9iyEtp7CakNDA/Lz89lw8vBoZ09to6Oj8dVXX2H16tVYuXJln1NTdXR0OIFtsN27d2/Abwi5ubnhyJEj8Pb2RkNDA3bv3o3g4GDk5ubC1tYWUqmUvUb3a3Z9jhAyulBAI4SMaZaWlqiuruYcq66uhoGBAbS1tcHn88Hn83ts09uUIjL68Hg86OrqIiQkBCEhIQA6w5BcLodEImFD2+nTp1FUVAQrKytOaPP19YWZmRkntAkEgh5DW9coW11dHW7duoW2tjbo6uqqhLbuRU1kMhny8/PR1tYGT09PlT28xvpIW/f7e/DgAYqLi1FZWQlHR0c4OTn1uqaQYRj83//9H1asWAFXV1dIJBK4ubkNRbcHXVBQECdEBgcHw93dHXFxcdi0adMw9owQMlgooBFCxrSgoCD88MMPnGM///wz+8AjEAggEomQnJzMFhtRKpVITk7GokWLhry/ZOjweDzo6+tj6tSpmDp1KoDOB/3GxkZIJBKkpaVBLBYjISEBxcXFsLe356xn8/X1hbGxsUpoMzU1hampKXustbWVHWmrra1FaWkp2tvboaenBwMDA+jq6qKxsRF3795lg8ijln7vHmpGY2DrKXjW1NQgPz8f2tramDJlCnR1dXs9v7KyElFRUbhy5Qp27dqFiIiIfovDDBdTU9MnfkNIQ0MDvr6+KC4uBgD2vOrqalhZWXGuKRQKn1LPCSFDiQIaIWRUkcvl7IMJ0Ln+IjMzEyYmJrC3t8fq1atRWVmJ48ePAwDef/99xMbGYuXKlXjrrbfwyy+/4OTJkzh37hx7jaioKISHh8Pf3x8BAQGIiYlBU1OTSmlrMvbxeDwYGhpi+vTpmD59OoDO0FZXVwexWMyGtvj4eJSVlcHR0ZEzNVIoFMLQ0JAT2rS0tKClpcWOiDEMg7a2NjQ0NEAqlXJ+nmtqatDW1sYZaRtI2Bhto2zd+9va2orCwkLcv38frq6usLa27nXKq0KhwKFDh7Bx40b84Q9/QF5enso0v5HmabwhpFAokJ2djRdffBEA4OTkBEtLSyQnJ7OBrLGxEdeuXcMHH3wwODdCCBlUVGafEDKqpKSksA/ODwsPD0d8fDwiIiJQVlaGlJQUzjnLli1DXl4ebG1tsW7dOpWNqmNjY9l9iYRCIfbu3cuuXyKkO4ZhUFNTA7FYjPT0dLaCZEVFBVxcXDjTI4VCIfT09DhB48aNGzh16hRCQkLg6uoKS0tLtLW1cQqRNDY2QqFQsCNtXX/09PSeeIRouENbT6XzKyoqUFxcDFNTU7i6uva5F11ubi4WLVqEu3fvYv/+/Zg9e/aQlsp/EidOnEB4eDji4uLYN4ROnjyJgoICWFhYYMGCBbCxscG2bdsAAJ9++immTJkCFxcX1NfXY9euXUhMTIRYLMakSZMAdJbZ3759O6fMflZWFpXZJ2Rkon3QCCFkpLp06RJ27doFsViMqqqqfvd0O336NA4cOIDMzEy0tbXBw8MDGzZsYDfcBoANGzZg48aNnPPc3NyoIuUQ6NqfqyuwicViSCQSSKVSuLm5wdfXF97e3rhx4wa++eYbzJ49G4cPH+41iDAMg5aWFk5gk8lkUCqVKqFNV1d3VIS2nkb45HI58vLy0NbWBnd3d8700O5aWlqwY8cOxMbG4oMPPsDGjRuhp6c3mF0eFH29ITRt2jQ4OjoiPj4eALBs2TKcPn0aUqkUxsbGEIlE2Lx5M3x9fdnrdW1U/cUXX6C+vh7PPfccPv/8c7i6ug7H7RFC+kYBjRBCRqoff/wRv/32G0QiEebOndtvQIuMjIS1tTWmT58OIyMjHD16FLt378a1a9fYh7UNGzbg22+/xYULF9jz1NXV+3zoJYOna2QoPT0dp0+fRmJiIvh8PoyNjaGrq8sZafPy8oKWllafI0Fd1Si7hzaGYVQ21tbV1X3iUaWnGdq6hzOFQoHS0lLcunULdnZ2GD9+fK9r7xiGwaVLl7B48WIYGhoiLi4OIpFo1IyaEULIQyigEULIaMDj8foNaD3x8PDAvHnzsH79egCdAS0xMRGZmZmD0U3yGO7du4dVq1bhxIkTiI6OxpIlS1BVVYW0tDTOSJtMJsOkSZM4a9o8PDwgEAgGHNoaGxvZIigPhzYdHZ0hD209jZrdv38feXl50NDQwKRJk6Cvr9/r+bW1tVi7di1Onz6N6OhoREZGPvK2BYQQMgL1+yJMr3CEEDJKKZVKyGQyzobKAFBUVARra2toaWkhKCgI27Ztg729/TD18tl248YNBAcHIyQkBLm5uXBwcAAAODo6wtHREa+++iqAzr/LmzdvskVIzpw5g/Xr16OlpQWenp6c0Obu7g51dXU2aHVtIaCrq8tW8VMqlZzQdvv2bchkMvB4PE5g69puYiChbSCFSLq3bW9vR1FREaqrq+Hi4gI7O7tev7ZSqcSpU6ewatUqiEQiXL9+Hc7Ozo/cT0IIGa1oBI0QQkaAxxlB27lzJ7Zv346CggKYm5sD6Jw2KZfL4ebmhqqqKmzcuBGVlZXIycnpc5SCDA6lUol///vfeP755wd8rkKhQHFxMTvSJpFIkJGRgQcPHsDLy4udHikSieDm5gY+n99n0FIqlWhqalKZHsnn81VCW39TLQeqa31eYWEhDA0NMXHiRGhra/favrS0FMuWLcP169fxj3/8A/Pnzx+xpfMJIWSAaIojIWRs+Oabb/DWW2/h5s2b7CjBm2++CbFYjF9//RWGhobD3MMnM9CA9vXXX+Odd97B2bNnERoa2mu7+vp6ODg4YM+ePVi4cOHT6i4ZJgqFAgUFBZzQdv36dfB4PHh7e3PWtE2YMKHf/dSUSiXkcjkntMnlcqirq6tMj3zc0Nbc3Iz8/HzI5XJMnDgR5ubmvV6no6MDn3/+ObZs2YJ58+Zh586dnI3ACSFkDKCARggZGxiGgVAoxO9//3vs27cP0dHROHLkCK5evQobG5vh7t4TG0hAS0hIwFtvvYVTp07hpZde6rf95MmTERoaypbtJmMHwzDo6OhAfn4+0tPTkZaWBolEgqysLAgEAgiFQs7m2s7Ozv2ORCkUCpXQ1tTUBHV1dZWRNk1NzT6nKN66dQs3b96EtbU1XFxcoKGh0et9ZGRkYNGiRWhubkZcXBymTZtGRUAIIWMRrUEjhIwNPB4PW7ZswZ///GdYWlpi3759+PXXX8dEOBuIrpHEhISERwpncrkcJSUleOONN4agd2So8Xg8CAQC+Pj4wMfHBwsXLgTDMGhvb0dOTg5bhGTfvn3Izs6Gjo4O/Pz84OPjw4Y2BwcHTmjj8/kwNDTkjEorFArIZDI2sN29exdNTU0QCAQ9hraGhgbk5eWBYRiIRCIYGRn1eg9yuRybN2/Gl19+iWXLlmHt2rV9Tn8khJCxjkbQCCGjip+fH3Jzc3H+/HlMnTp1uLvzRORyOYqLiwEAvr6+2LNnD6ZPnw4TExPY29tj9erVqKysxPHjxwF0TmsMDw/HZ599hrlz57LX0dbWZh+mV6xYgT/+8Y9wcHDAnTt3EB0djczMTOTl5cHMzGzob5KMCAzDoLW1FVlZWWxoE4vFyM3NhaGhIWdqpJ+fH2xsbB5ppO3h0NY10sbn86FQKNifY0NDQwgEgh77dP78eURGRsLGxgZxcXHw8vIarG8BIYSMFDTFkRAydiQlJWHu3Lns6MDEiROHu0tPJCUlBdOnT1c5Hh4ejvj4eERERKCsrAwpKSkAOjewvXjxYq/tAWD+/Pm4dOkSamtrYWZmhueeew5btmzB+PHjB/NWyCjUVZ4/MzOTE9oKCgpgamqqEtosLS37nHJ4+/Zt3Lx5EwKBAKampmhtbUVjYyOam5tRUFCAH3/8ET4+PggICMCECROwe/du/PTTT9iyZQs++OCDftfLDab9+/ezG0f7+Phg3759CAgI6LHtoUOHcPz4ceTk5AAARCIRtm7dymkfERGBY8e4FSzDwsKQlJQ0eDdBCBktKKARQsYGiUSCadOmIS4uDvHx8TAwMMCpU6eGu1sEwKVLl7Br1y6IxWJUVVX1u5aut2BaVVUFS0tL9uOBPDSTp4NhGMjlckgkEjawicVi3LhxA1ZWVmxo6wpuZmZmKC0txaJFi8Dn8xEXFwcrKytOkOvo6EB2dja7P19OTg6qq6uho6OD6dOn4/e//z38/f3h5+fX51TIwXLixAksWLAABw8eRGBgIGJiYnDq1CkUFhay1VEf9pe//AUhISEIDg6GlpYWduzYgTNnziA3N5edch0REYHq6mocPXqUPU9TUxPGxsZDdl+EkBGLAhohZPQrKytDUFAQli5dio8//hjXrl1DUFAQ0tPT4efnN9zde+b9+OOP+O233yASiTB37txHDmiFhYUwMDBgj5ubm7PT6gb60EwGD8MwaGxshEQiYfdpk0gkKC4uhomJCVpaWiAUCvH++++zU3R7Gmm7ceMGlixZgpKSEmzZsgU2NjYQi8VIT09Heno6bt26BRcXF/j7+2PLli1DtudZYGAgJk+ejNjYWACdxU3s7OywePFifPzxx/2er1AoYGxsjNjYWCxYsABAZ0Crr69HYmLioPadEDIqUUAjhIxu9+/fR3BwMKZNm4aDBw+yx1966SUoFAqaMjTCPEo1yq6AVldX1+uIyZM+NJPBlZWVhYULF6KyshIvvvgi6urqIJFIUFZWBkdHR5WNtePj47F7926Eh4dj69atPf6919TUsIHtvffeG5I1k+3t7dDR0cG3337L+ZkNDw9HfX09zp492+81ZDIZzM3NcerUKfzhD38A0BnQEhMTIRAIYGxsjBkzZmDz5s20ZQAhBKAqjoSQ0c7ExAQFBQUqx8+dOzcMvSFPk1AoRFtbGzw9PbFhwwaEhIQA6HxoFovFWL16NdtWTU0NoaGhSE1NHa7uEgAtLS3YtGkTYmJisHTpUqxbtw46OjoAOkfaHg5ZaWlpiIuLQ0VFBaytrXH+/HkEBwf3uo7NzMwMs2bNwqxZs4bsfu7duweFQgELCwvOcQsLix5fd3qyatUqWFtbc/YjnDVrFubOnQsnJyeUlJRgzZo1mD17NlJTU4d1rR0hZHSggEYIIWRIWVlZ4eDBg/D390dbWxu+/PJLTJs2DdeuXYOfn99TeWgmgyMjIwP//ve/cfXqVXh7e3M+x+PxYG5ujtmzZ2P27NkAOkNbeno67OzsOOsLx4rt27cjISEBKSkp0NLSYo/Pnz+f/X8vLy94e3tj/PjxSElJwfPPPz8cXSWEjCIU0AghhAwpNzc3uLm5sR8HBwejpKQE//jHP/DPf/5zGHtG+hMcHIwrV6488gbSPB4PkydPHuRePT5TU1Pw+XxUV1dzjldXV/cbKHfv3o3t27fjwoULKmG1O2dnZ5iamqK4uJgCGiGkX31vckIIIYQMgYCAAHZPuCd5aCaD71HD2WggEAggEomQnJzMHlMqlUhOTkZQUFCv5+3cuRObNm1CUlIS/P39+/06FRUVqK2thZWV1VPpNyFkbKOARgghZNhlZmayD6+P+9BMyOOIiorCoUOHcOzYMeTn5+ODDz5AU1MT3nzzTQDAggULOOshd+zYgXXr1uHIkSNwdHSEVCqFVCqFXC4H0LkB/UcffYSrV6+irKwMycnJeOWVV+Di4oKwsLBhuUdCyOhCUxwJIYQ8Eblczo5+AUBpaSkyMzNhYmICe3t7rF69GpWVlTh+/DgAICYmBk5OTvDw8EBrayu+/PJL/PLLLzh//jx7jaioKISHh8Pf3x8BAQGIiYnhPDQT8rTMmzcPNTU1WL9+PaRSKYRCIZKSktg1kOXl5ez2DwBw4MABtLe3489//jPnOtHR0diwYQP4fD6ysrJw7Ngx1NfXw9raGjNnzsSmTZugqak5pPdGCBmdqMw+IYSQJ9LbxtPh4eGIj49HREQEysrKkJKSAqBzetgXX3yByspK6OjowNvbG+vXr1e5RmxsLLtRtVAoxN69exEYGDgUt0QIIYQMFtoHjRBCCCGEEEJGiH4DGq1BI4QQQh5y6dIl/PGPf4S1tTV4PB4SExP7bB8REQEej6fyx8PDg22zYcMGlc9PnDhxsG+FEELIKEQBjRBCCHlIU1MTfHx8sH///kdq/9lnn6Gqqor9c/v2bZiYmODVV1/ltPPw8OC0u3z58mB0nxBCyChHRUIIIYSQhzy80fKjMDQ0hKGhIftxYmIi6urqVAqaqKur0zYBhBBC+kUjaIQQQshTdPjwYYSGhsLBwYFzvKioCNbW1nB2dsZf/vIXlJeXD1MPCSGEjGQU0AghhJCn5M6dO/jxxx/x9ttvc44HBgYiPj4eSUlJOHDgAEpLS/G73/0OMplsmHpKCCFkpKIpjoQQQshTcuzYMRgZGWHOnDmc4w9PmfT29kZgYCAcHBxw8uRJLFy4cKi7SQghZASjETRCCCHkKWAYBkeOHMEbb7wBgUDQZ1sjIyO4urpyNvgmnfbv3w9HR0doaWkhMDAQ//nPf/psf+rUKUycOBFaWlrw8vLCDz/8wPk8wzBYv349rKysoK2tjdDQUBQVFQ3mLRBCyBOhgEYIIYQ8BRcvXkRxcfEjjYjJ5XKUlJTAyspqCHo2epw4cQJRUVGIjo6GRCKBj48PwsLCcPfu3R7bX7lyBa+//joWLlyIjIwMzJkzB3PmzEFOTg7bZufOndi7dy8OHjyIa9euQVdXF2FhYWhtbR2q2yKEkAGhjaoJIYSQh8jlcnZky9fXF3v27MH06dNhYmICe3t7rF69GpWVlTh+/DjnvDfeeANFRUW4evWqyjVXrFiBP/7xj3BwcMCdO3cQHR2NzMxM5OXlwczMbEjuazQIDAzE5MmTERsbCwBQKpWws7PD4sWL8fHHH6u0nzdvHpqamvCvf/2LPTZlyhQIhUIcPHgQDMPA2toay5cvx4oVKwAADQ0NsLCwQHx8PObPnz80N0YIIf9FG1UTQgghA5Geng5fX1/4+voCAKKiouDr64v169cDAKqqqlQqMDY0NOC7777rdfSsoqICr7/+Otzc3PDaa69h3LhxuHr1KoWzh7S3t0MsFiM0NJQ9pqamhtDQUKSmpvZ4TmpqKqc9AISFhbHtS0tLIZVKOW0MDQ0RGBjY6zUJIWS4UUAjhBBCHjJt2jQwDKPyJz4+HgAQHx+PlJQUzjmGhoZobm7GO++80+M1ExIScOfOHbS1taGiogIJCQkYP378IN8JsG3bNkyePBn6+vowNzfHnDlzUFhY2O95w7Gu6969e1AoFLCwsOAct7CwgFQq7fEcqVTaZ/uu/w7kmoQQMtwooBFCCCFj1MWLF/Hhhx/i6tWr+Pnnn9HR0YGZM2eiqamp13NoXRchhAwvCmiEEELIGJWUlISIiAh4eHjAx8cH8fHxKC8vh1gs7vWczz77DLNmzcJHH30Ed3d3bNq0CX5+fuy6MIZhEBMTg7Vr1+KVV16Bt7c3jh8/jjt37iAxMfGx+2pqago+n4/q6mrO8erqalhaWvZ4jqWlZZ/tu/47kGsSQshwo4BGCCGEPCMaGhoAACYmJr22Ga51XQKBACKRCMnJyewxpVKJ5ORkBAUF9XhOUFAQpz0A/Pzzz2x7JycnWFpacto0Njbi2rVrvV6TEEKGG21UTQghhDwDlEolIiMjERISAk9Pz17bDee6rqioKISHh8Pf3x8BAQGIiYlBU1MT3nzzTQDAggULYGNjg23btgEAli5diqlTp+Lvf/87XnrpJSQkJCA9PR1ffPEFAIDH4yEyMhKbN2/GhAkT4OTkhHXr1sHa2lplM3FCCBkpKKARQgghz4APP/wQOTk5uHz58nB3pVfz5s1DTU0N1q9fD6lUCqFQiKSkJDYMlpeXQ03tv5N/goOD8fXXX2Pt2rVYs2YNJkyYgMTERE4AXblyJZqamvDuu++ivr4ezz33HJKSkqClpTXk90cIIY+C9kEjhBBCxrhFixbh7NmzuHTpEpycnPpsa29vj6ioKERGRrLHoqOjkZiYiOvXr+PmzZsYP348MjIyIBQK2TZTp06FUCjEZ599Nmj3QQghYwDtg0YIIYQ8qxiGwaJFi3DmzBn88ssv/YYzgNZ1EULIcONv2LDhUds+ckNCCCGEDL8PP/wQX331Fb799ltYW1tDLpdDLpeDz+dDQ0MDQOe6rv/85z9s0Q8bGxusXbsWurq6MDExQWxsLE6cOIHDhw/D3NwcPB4PCoUCW7duxaRJk9De3o4lS5agubkZ+/btg7o6rZ4ghJA+bOyvAU1xJIQQQsYoHq/nmTRHjx5FREQEgM6NuR0dHdmNuIHOjarXrl2LsrIyTJgwATt37sSLL77Ifp5hGERHR+OLL75g13V9/vnncHV1HczbIYSQsaDfKY4U0AghhBBCCCFkaNAaNEIIIYQQQggZLSjXS372AAAAn0lEQVSgEUIIIYQQQsgIQQGNEEIIIYQQQkYICmiEEEIIIYQQMkIMpBZuvwvaCCGEEEIIIYQ8PhpBI4QQQgghhJARggIaIYQQQgghhIwQFNAIIYQQQgghZISggEYIIYQQQgghIwQFNEIIIYQQQggZISigEUIIIYQQQsgIQQGNEEIIIYQQQkYICmiEEEIIIYQQMkJQQCOEEEIIIYSQEeL/Awa2gg7WTRBhAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "from devito import Operator\n", "\n", "# Reset our initial condition in both buffers.\n", "# This is required to avoid 0s propagating into\n", "# our solution, which has a background value of 1.\n", "init_hat(field=u.data[0], dx=dx, dy=dy, value=2.)\n", "init_hat(field=u.data[1], dx=dx, dy=dy, value=2.)\n", "\n", "# Create an operator that updates the forward stencil point\n", "op = Operator(Eq(u.forward, stencil, subdomain=grid.interior))\n", "\n", "# Apply the operator for a number of timesteps\n", "op(time=nt, dt=dt)\n", "\n", "plot_field(u.data[0, :, :])\n", "\n", "# Some small sanity checks for the testing framework\n", "assert (u.data[0, 45:55, 45:55] > 1.8).all()\n", "assert np.allclose(u.data[0], u_ref, rtol=3.e-2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Great, that looks to have done the same thing as the original NumPy example, so we seem to be doing something right, at least.\n", "\n", "**A note on performance:** During the code generation phase of the previous operator Devito has created some log output with information about two optimisation steps: The DSE (Devito Symbolics Engine) and the DLE (Devito Loop Engine). We can ignore these for now, because our example is tiny - but for large runs where performance matters, these are the engines that make the Devito kernel run very fast in comparison to raw Python/NumPy.\n", "\n", "Now, despite getting a correct looking result, there is still one problem with the above operator: It doesn't set any boundary conditions as part of the time loop. We also note that the operator includes a time loop, but at this point Devito doesn;t actually provide any language constructs to explicitly define different types of boundary conditions (Devito is probably still a kind of prototype at this point). Luckily though, Devito provides a backdoor for us to insert custom expression in the so-called \"indexed\" or \"low-level\" API that allow us to encode the Dirichlet boundary condition of the original example.\n", "\n", "#### The \"indexed\" or low-level API\n", "The `TimeFunction` field we created earlier behaves symbolically like a `sympy.Function` object with the appropriate indices, eg. `u(t, x, y)`. If we take a simple first-order derivative of that we have a term that includes the spacing variable `h`, which Devito uses as the default for encoding $dx$ or $dy$. For example, `u.dx` simply expands to `-u(t, x, y)/h + u(t, x + h, y)/h`.\n", "\n", "Now, when the `Operator` creates explicit C-code from that expression, it at some point \"lowers\" that expression by resolving explicit data accesses (or indices) into our grid by transforming it into a `sympy.Indexed` object. During this process all occurrences of `h` in data accesses get replaced with integers, so that the expression now looks like `-u[t, x, y]/h + u[t, x + 1, y]/h`. This is the \"indexed\" notation and we can create custom expression of the same kind by explicitly writing `u[...]`, that is with indices in square-bracket notation. These custom expressions can then be injected into our operator like this:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Operator `Kernel` run in 0.01 s\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#NBVAL_IGNORE_OUTPUT\n", "\n", "# Reset our data field and ICs in both buffers\n", "init_hat(field=u.data[0], dx=dx, dy=dy, value=2.)\n", "init_hat(field=u.data[1], dx=dx, dy=dy, value=2.)\n", "\n", "# For defining BCs, we want to explicitly set rows/columns in our field\n", "# We can use Devito's \"indexed\" notation to do this:\n", "x, y = grid.dimensions\n", "t = grid.stepping_dim\n", "bc_left = Eq(u[t + 1, 0, y], 1.)\n", "bc_right = Eq(u[t + 1, nx-1, y], 1.)\n", "bc_top = Eq(u[t + 1, x, ny-1], 1.)\n", "bc_bottom = Eq(u[t + 1, x, 0], 1.)\n", "\n", "# Now combine the BC expressions with the stencil to form operator\n", "expressions = [Eq(u.forward, stencil)]\n", "expressions += [bc_left, bc_right, bc_top, bc_bottom]\n", "op = Operator(expressions=expressions, dle=None, dse=None) # <-- Turn off performance optimisations\n", "op(time=nt, dt=dt)\n", "\n", "plot_field(u.data[0, :, :])\n", "\n", "# Some small sanity checks for the testing framework\n", "assert (u.data[0, 45:55, 45:55] > 1.8).all()\n", "assert np.allclose(u.data[0], u_ref, rtol=3.e-2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You might have noticed that we used the arguments `dle=None` and `dse=None` in the creation of the previous operator. This suppresses the various performance optimisation steps in the code-generation pipeline, which makes the auto-generated C code much easier to look at. So, for the brave, let's have a little peek under the hood... " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "#define _POSIX_C_SOURCE 200809L\n", "#include \"stdlib.h\"\n", "#include \"math.h\"\n", "#include \"sys/time.h\"\n", "\n", "struct dataobj\n", "{\n", " void *restrict data;\n", " int * size;\n", " int * npsize;\n", " int * dsize;\n", " int * hsize;\n", " int * hofs;\n", " int * oofs;\n", "} ;\n", "\n", "struct profiler\n", "{\n", " double section0;\n", " double section1;\n", "} ;\n", "\n", "\n", "int Kernel(const float dt, const float h_x, const float h_y, struct dataobj *restrict u_vec, const int time_M, const int time_m, struct profiler * timers, const int x_M, const int x_m, const int y_M, const int y_m)\n", "{\n", " float (*restrict u)[u_vec->size[1]][u_vec->size[2]] __attribute__ ((aligned (64))) = (float (*)[u_vec->size[1]][u_vec->size[2]]) u_vec->data;\n", " for (int time = time_m, t0 = (time)%(2), t1 = (time + 1)%(2); time <= time_M; time += 1, t0 = (time)%(2), t1 = (time + 1)%(2))\n", " {\n", " struct timeval start_section0, end_section0;\n", " gettimeofday(&start_section0, NULL);\n", " /* Begin section0 */\n", " for (int x = x_m; x <= x_M; x += 1)\n", " {\n", " for (int y = y_m; y <= y_M; y += 1)\n", " {\n", " u[t1][x + 1][y + 1] = 1.0F*(dt*h_x*u[t0][x + 1][y] - dt*h_x*u[t0][x + 1][y + 1] + dt*h_y*u[t0][x][y + 1] - dt*h_y*u[t0][x + 1][y + 1] + h_x*h_y*u[t0][x + 1][y + 1])/(h_x*h_y);\n", " }\n", " u[t1][x + 1][1] = 1.00000000000000F;\n", " u[t1][x + 1][81] = 1.00000000000000F;\n", " }\n", " /* End section0 */\n", " gettimeofday(&end_section0, NULL);\n", " timers->section0 += (double)(end_section0.tv_sec-start_section0.tv_sec)+(double)(end_section0.tv_usec-start_section0.tv_usec)/1000000;\n", " struct timeval start_section1, end_section1;\n", " gettimeofday(&start_section1, NULL);\n", " /* Begin section1 */\n", " for (int y = y_m; y <= y_M; y += 1)\n", " {\n", " u[t1][1][y + 1] = 1.00000000000000F;\n", " u[t1][81][y + 1] = 1.00000000000000F;\n", " }\n", " /* End section1 */\n", " gettimeofday(&end_section1, NULL);\n", " timers->section1 += (double)(end_section1.tv_sec-start_section1.tv_sec)+(double)(end_section1.tv_usec-start_section1.tv_usec)/1000000;\n", " }\n", " return 0;\n", "}\n", "\n" ] } ], "source": [ "print(op.ccode)" ] } ], "metadata": { "@webio": { "lastCommId": null, "lastKernelId": null }, "hide_input": false, "kernelspec": { "display_name": "Python 3", "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": "3.6.9" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "widgets": { "state": {}, "version": "1.1.2" } }, "nbformat": 4, "nbformat_minor": 1 }