{ "cells": [ { "cell_type": "markdown", "id": "23f1215b", "metadata": {}, "source": [ "# Appendix: Code testing and verification with Manufactured Solutions" ] }, { "cell_type": "markdown", "id": "94ca31de", "metadata": {}, "source": [ "An important part of developing code is continuous integration and testing - for codes that simulate physical phenomena by solving a system of PDEs, this involves code verification as dicussed in detail in this [Sandia National Laboratories report](https://www.osti.gov/servlets/purl/759450-wLI4Ux/native/):\n", "\n", "*“The [code] author defines precisely what continuum partial differential\n", "equations and continuum boundary conditions are being solved, and\n", "convincingly demonstrates that they are solved correctly, i.e., usually with\n", "some order of accuracy, and always consistently, so that as some measure of\n", "discretization (e.g. the mesh increments) $\\Delta\\to0$, the code produces a solution\n", "to the continuum equations; this is Verification.\"*\n", "\n", "This has been included in this project in two ways:\n", "- For each ODE class a ``rhs_analytic`` function needs to be defined which can be used for probing the right (i.e. expected) order of convergence for the spatial discretization of the numerical right-hand side.\n", "- The method of manufactured solutions (MMS) can also be used to test the order of time integration and compare various discretizations of the same initial-boundary-value problem." ] }, { "cell_type": "markdown", "id": "26409459", "metadata": {}, "source": [ "## Method of Manufactured Solution (MMS)" ] }, { "cell_type": "markdown", "id": "a1413cf5", "metadata": {}, "source": [ "The main idea of this approach is to construct test cases where the solution to a problem is known a-priori. This means for example when testing the discretization of a spatial derivative, one considers functions, where the continuous counterpart can be computed analytically. We make this more precise in the following sections.\n", "A detailed introduction to MMS can be found [here](https://www.osti.gov/servlets/purl/759450-wLI4Ux/native/).\n" ] }, { "cell_type": "markdown", "id": "eb058f7c", "metadata": {}, "source": [ "In the following we show some examples which are all part of the CI testing of the codebase. They can be found in the test folder in the files `test_laplace.py` and `test_rhs.py`.\n", "\n", "In a nutshell, it is as simple as this (for the leading example $-\\Delta u = \\text{rhs}$)\n", "\n", "1. Define a test function $u_\\text{analytic}(x,y,z)$ which is given analytically in sympy logic\n", "2. Compute the exact solution to the right-hand side (e.g. $\\text{rhs}_\\text{analytic} = -\\Delta u_\\text{analytic}$ via sympy) and evaluate it on the defined grid $$\\text{rhs}_\\text{analytic}=\\text{rhs}_\\text{analytic}(x_i, y_j, z_k),$$ where $(x_i, y_j, z_k)$ are the discrete positions in the regular meshgrid.\n", "3. Compute the discrete initial field $u_\\text{numeric}(x_i, y_j, z_k)$ and the corresponding numerical right-hand side (e.g. $\\text{rhs}_\\text{numeric} = - \\Delta_h u_\\text{numeric}$ for a stencil $\\Delta_h$) $$\\text{rhs}_\\text{numeric}=\\text{rhs}_\\text{numeric}(u_\\text{numeric})$$\n", "4. Compute the relative $L_2$ error i.e. the discrete $L_2$–norm of the difference $\\text{rhs}_\\text{numeric}-\\text{rhs}_\\text{analytic}$ divided by the $L_2$–norm of the analytical solution $$\\epsilon = \\sqrt{\\sum_{i,j,k} (\\text{rhs}_\\text{numeric}-\\text{rhs}_\\text{analytic})^2} \\bigg/ \\sqrt{\\sum_{i,j,k} (\\text{rhs}_\\text{analytic})^2}$$\n", "\n", "Repeat the scheme for various spatial discretizations $\\Delta x$ on the same physical domain with the same analytical reference. Since it is known from the theory that the error $\\epsilon$ scales like a constant times $h^p$ for the mesh width $h = \\max\\{\\Delta x, \\Delta y, \\Delta z \\}$ and some integer $p$, we obtain the relation\n", "$$\n", "\\log \\epsilon \\sim \\log C + p \\log h ,\n", "$$\n", "which corresponds in a log-log-plot to a straight line with slope $p$. This slope $p$ (computed via linear regression) is then compared to the theoretically expected exponent to validate the implementation." ] }, { "cell_type": "markdown", "id": "843c121d", "metadata": {}, "source": [ "## Spatial order of convergence for Laplacian stencils" ] }, { "cell_type": "markdown", "id": "8ccf501f", "metadata": {}, "source": [ "First we define a function to automatically perform the convergence test. This can be found in a similar fashion in the ``utils.py`` file." ] }, { "cell_type": "code", "execution_count": 1, "id": "dc303630", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import evoxels as evo\n", "\n", "def grid_convergence_test(\n", " test_function,\n", " rhs_analytic,\n", " rhs_numerical,\n", " convention = 'cell_center',\n", " dtype = 'float32',\n", " powers = np.array([3,4,5,6,7]),\n", "):\n", " dx = np.zeros(len(powers))\n", " errors = np.zeros(len(powers))\n", "\n", " for i, p in enumerate(powers):\n", " if convention == 'cell_center':\n", " vf = evo.VoxelFields((2**p, 2**p, 2**p), (1,1,1), convention=convention)\n", " elif convention == 'staggered_x':\n", " vf = evo.VoxelFields((2**p+1, 2**p, 2**p), (1,1,1), convention=convention)\n", " vf.precision = dtype\n", " grid = vf.meshgrid()\n", " init_data = test_function(*grid)\n", "\n", " vg = evo.voxelgrid.VoxelGridTorch(vf.grid_info(), precision=vf.precision, device='cpu')\n", " field = vg.init_scalar_field(init_data)\n", "\n", " # Compute solutions\n", " comp = vg.export_scalar_field_to_numpy(rhs_numerical(vg, field))\n", " exact = rhs_analytic(*grid)\n", " if convention == 'staggered_x':\n", " exact = exact[1:-1,:,:]\n", "\n", " # Error norm\n", " diff = comp - exact\n", " errors[i] = np.linalg.norm(diff)/np.linalg.norm(exact)\n", " dx[i] = vf.spacing[0]\n", "\n", " slope, _ = np.polyfit(np.log(dx), np.log(errors), 1)\n", " print(f\"Grid spacing: {dx}\")\n", " print(\"Convergence rate from slope fit:\", slope)\n", " return dx, errors, slope" ] }, { "cell_type": "markdown", "id": "ff6e00e9", "metadata": {}, "source": [ "Let's start with a laplace stencil combined with zero-flux (Neumann) boundary conditions. Both grid conventions exhibit the expected second order convergence." ] }, { "cell_type": "code", "execution_count": 2, "id": "e6aee0c6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Grid spacing: [0.125 0.0625 0.03125 0.015625 0.0078125]\n", "Convergence rate from slope fit: 1.9533270430146406\n", "Grid spacing: [0.125 0.0625 0.03125 0.015625 0.0078125]\n", "Convergence rate from slope fit: 2.0915744090903576\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from numpy import sin, cos, pi\n", "import matplotlib.pyplot as plt\n", "\n", "def test_function(x,y,z):\n", " return cos(pi*x)**3\n", "\n", "def laplace_analytical(x,y,z):\n", " return 3*pi**2*(2*sin(pi*x)**2 - cos(pi*x)**2)*cos(pi*x)\n", " \n", "def rhs_fun(vg, field):\n", " field = vg.bc.trim_boundary_nodes(field)\n", " field = vg.bc.pad_zero_flux_periodic(field)\n", " laplace = vg.laplace(field)\n", " return laplace\n", "\n", "dx1, errors1, slope1 = grid_convergence_test(\n", " test_function, laplace_analytical, rhs_fun,\n", " convention = 'cell_center',\n", ")\n", "\n", "dx2, errors2, slope2 = grid_convergence_test(\n", " test_function, laplace_analytical, rhs_fun,\n", " convention = 'staggered_x',\n", ")\n", "\n", "plt.loglog(dx1, errors1, 'o', label='cc', color='red')\n", "plt.loglog(dx2, errors2, '+', label='node', color='black')\n", "plt.loglog(dx1, errors1[0]/dx1[0]**0.5*dx1**0.5, '--', label = 'order 0.5')\n", "plt.loglog(dx1, errors1[0]/dx1[0]*dx1,'--', label = 'order 1')\n", "plt.loglog(dx1, errors1[0]/dx1[0]**1.5*dx1**1.5,'--', label = 'order 1.5')\n", "plt.loglog(dx1, errors1[0]/dx1[0]**2*dx1**2,'--', label = 'order 2')\n", "plt.legend()\n", "plt.title('Test numerical Laplace with Neumann BCs')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "31ff9c3f", "metadata": {}, "source": [ "Next, let's move on to Dirichlet boundary conditions $u(x=0)=u(x=1)=0$.\n", "There are two ways to enforce Dirichlet boundary conditions depending on the grid convention.\n", "1. Cell centered grid: Works with ghost nodes and the value of $u$ outside the domain is set accordingly. Commonly, $u_\\text{ghost} = 2u_\\text{BC} - u(\\frac{\\Delta x}{2})$ is used as this reproduces the correct boundary value with linear interpolation ($u(0)=0.5(u_\\text{ghost}+u(\\frac{\\Delta x}{2}))=u_\\text{BC})$.\n", "2. In a staggered grid configuration, the nodes at which the concentration values are stored, actually lie on the domain boundary and can be set to the corresponding given boundary value $u_\\text{BC}$" ] }, { "cell_type": "code", "execution_count": 3, "id": "380354eb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Grid spacing: [0.125 0.0625 0.03125 0.015625 0.0078125]\n", "Convergence rate from slope fit: 0.4954937374912848\n", "Grid spacing: [0.125 0.0625 0.03125 0.015625 0.0078125]\n", "Convergence rate from slope fit: 2.0314069655338005\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def test_function(x,y,z):\n", " return (x*(1-x))**2\n", "\n", "def laplace_analytical(x,y,z):\n", " return 2 - 12*x + 12*x**2\n", "\n", "def rhs_fun(vg, field):\n", " field = vg.bc.trim_boundary_nodes(field)\n", " field = vg.bc.pad_dirichlet_periodic(field, bc0=0, bc1=0)\n", " laplace = vg.laplace(field)\n", " return laplace\n", "\n", "dx1, errors1, slope1 = grid_convergence_test(\n", " test_function, laplace_analytical, rhs_fun,\n", " convention = 'cell_center',\n", ")\n", "\n", "dx2, errors2, slope2 = grid_convergence_test(\n", " test_function, laplace_analytical, rhs_fun,\n", " convention = 'staggered_x',\n", ")\n", "\n", "plt.loglog(dx1, errors1, 'o', label='cell_center', color='red')\n", "plt.loglog(dx2, errors2, '+', label='staggered_x', color='black')\n", "plt.loglog(dx1, errors1[0]/dx1[0]**0.5*dx1**0.5, '--', label = 'order 0.5')\n", "plt.loglog(dx1, errors1[0]/dx1[0]*dx1,'--', label = 'order 1')\n", "plt.loglog(dx1, errors1[0]/dx1[0]**1.5*dx1**1.5,'--', label = 'order 1.5')\n", "plt.loglog(dx1, errors1[0]/dx1[0]**2*dx1**2,'--', label = 'order 2')\n", "plt.legend()\n", "plt.title(f'Test numerical Laplace with Dirichlet BCs')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "68981b88", "metadata": {}, "source": [ "While the staggered grid convention shows the right order of convergence, the cell centered grid only converges with polynomial order $p=0.5$ which underlines **how important it is to test the discretized operators in combination with boundary conditions!**\n", "\n", "This can also be shown by Taylor series expansion, where generally\n", "$$f(x+h) = f(x) + f'(x)h + \\frac{1}{2}f''(x)h^2 + \\frac{1}{6}f'''(x)h^3 + \\mathcal{O}(h^4)$$\n", "which means that for the first inner node in a cell centered grid at $x=\\frac{\\Delta x}{2}$ we can add $f(\\frac{3\\Delta x}{2}) +2f(0)$ to cancel the first order term which yields\n", "$$f(3\\Delta x /2) +2f(0) = 3f(\\Delta x/2) + \\frac{3}{4}f''(\\Delta x/2)h^2 + \\frac{5}{24}f'''(\\Delta x/2)h^3 + \\mathcal{O}(h^4)$$\n", "and therefore, the second order spatial discretization is only first order accurate if we introduce a correction\n", "$$f''(\\Delta x/2) = \\frac{4}{3} \\frac{f(3\\Delta x /2) - 3f(\\Delta x/2) + 2f(0)}{h^2} + \\mathcal{O}(h)$$\n", "\n", "With the standard laplace scheme (no boundary correction), not even the first order term cancels which results in very slow convergence. We can test the corrected Laplace scheme:" ] }, { "cell_type": "code", "execution_count": 4, "id": "1e1ba86c", "metadata": {}, "outputs": [], "source": [ "def rhs_laplace_v2(vg, field):\n", " field = vg.bc.trim_boundary_nodes(field)\n", " padded = vg.bc.pad_dirichlet_periodic(field, bc0=0, bc1=0)\n", "\n", " laplace = (padded[:, 1:-1, 2:, 1:-1] + padded[:, 1:-1, :-2, 1:-1]) * vg.div_dx2[1] + \\\n", " (padded[:, 1:-1, 1:-1, 2:] + padded[:, 1:-1, 1:-1, :-2]) * vg.div_dx2[2] - \\\n", " 2 * padded[:, 1:-1, 1:-1, 1:-1] * (vg.div_dx2[1]+vg.div_dx2[2])\n", " laplace[:,1:-1,:,:] += (padded[:, 3:-1, 1:-1, 1:-1] - 2*padded[:, 2:-2, 1:-1, 1:-1] + padded[:, 1:-3, 1:-1, 1:-1]) * vg.div_dx2[0]\n", " laplace[:,0,:,:] += (padded[:, 2, 1:-1, 1:-1] - 3*padded[:, 1, 1:-1, 1:-1] + 2*0) * vg.div_dx2[0] * 4/3\n", " laplace[:,-1,:,:] += (padded[:,-3, 1:-1, 1:-1] - 3*padded[:,-2, 1:-1, 1:-1] + 2*0) * vg.div_dx2[0] * 4/3\n", " return laplace" ] }, { "cell_type": "code", "execution_count": 5, "id": "845aeff1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Grid spacing: [0.125 0.0625 0.03125 0.015625 0.0078125]\n", "Convergence rate from slope fit: 1.4448431854689416\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dx3, errors3, slope3 = grid_convergence_test(\n", " test_function, laplace_analytical, rhs_laplace_v2,\n", " convention = 'cell_center',\n", ")\n", "\n", "plt.loglog(dx1, errors1, 'o', color='red', label='cell_center')\n", "plt.loglog(dx2, errors2, '+', color='blue', label='staggered_x')\n", "plt.loglog(dx3, errors3, '*', color='green', label='cell_center_v2')\n", "plt.loglog(dx3, errors3[0]/dx2[0]**0.5*dx2**0.5, '--', label='order 0.5')\n", "plt.loglog(dx3, errors3[0]/dx2[0]**1.5*dx2**1.5, '--', label='order 1.5')\n", "plt.loglog(dx3, errors3[0]/dx2[0]**2*dx2**2, '--', label='order 2')\n", "plt.legend()\n", "plt.title(f'test for calc_laplace_dir with precision')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f2a3c20e", "metadata": {}, "source": [ "## Testing ODE right-hand sides\n", "\n", "The ODEs are all given in the form $\\partial_t u = \\text{rhs}(t,u)$, e.g. for Allen-Cahn in the form $\\text{rhs}(t,u) = \\Delta u + g(t,u)$.\n", "\n", "The above procedure has been adapted to automatically test all implementations of ODE classes by comparing the ``rhs_analytic`` to the results produced by ``rhs``. This ensures two things\n", "1. Does the ``rhs`` function implement a discretized version of the envisioned PDE?\n", "2. Does the chosen discretization converge at the expected spatial order of convergence?\n", "\n", "This is illustrated for the implemented Allen-Cahn type phase evolution problem below:" ] }, { "cell_type": "code", "execution_count": 6, "id": "32618cd8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Grid spacing: [0.125 0.0625 0.03125 0.015625 0.0078125]\n", "Errors: [0.19028211 0.05396869 0.01346211 0.00334846 0.00102839]\n", "Convergence rate from slope fit: 1.907376693930398\n", "Expected order of convergence: 2\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from evoxels.problem_definition import TwoPhaseAllenCahn\n", "from evoxels.utils import rhs_convergence_test\n", "import sympy as sp\n", "import sympy.vector as spv\n", "\n", "CS = spv.CoordSys3D('CS')\n", "test_fun = 0.5 + 0.3 * sp.cos(4*sp.pi*CS.x)\\\n", " * sp.cos(2*sp.pi*CS.y)\\\n", " * (CS.z**2/2 - CS.z**3/3)\n", "\n", "dx, errors, slope, order = rhs_convergence_test(\n", " ODE_class = TwoPhaseAllenCahn,\n", " problem_kwargs = {'eps': 3.0, 'curvature': 0.5},\n", " test_function = test_fun,\n", " convention = 'cell_center',\n", " dtype = 'float64'\n", ")\n", "\n", "print(f\"Grid spacing: {dx}\")\n", "print(f\"Errors: {errors}\")\n", "print(\"Convergence rate from slope fit:\", slope)\n", "print(\"Expected order of convergence: \", order)\n", "\n", "plt.loglog(dx, errors,'*')\n", "plt.loglog(dx, errors[0]/dx[0]**0.5*dx**0.5, '--', label = 'order 0.5')\n", "plt.loglog(dx, errors[0]/dx[0]*dx,'--', label = 'order 1')\n", "plt.loglog(dx, errors[0]/dx[0]**1.5*dx**1.5,'--', label = 'order 1.5')\n", "plt.loglog(dx, errors[0]/dx[0]**2*dx**2,'--', label = 'order 2')\n", "plt.legend()\n", "plt.title(f'Test rhs of Allen-Cahn problem')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "da5b50fd", "metadata": {}, "source": [ "## Time-dependent problems" ] }, { "cell_type": "markdown", "id": "8b19ecef", "metadata": {}, "source": [ "The idea of manufactured solutions can further be generalized to problems of the form\n", "$$\n", "\\partial_t u (t,x) = \\text{rhs}(t,x,u)\n", "$$\n", "where for example in Allen-Cahn $\\text{rhs}(t,x,u) = \\Delta u + g(t,u)$. For a general problem it is often difficult to test the problem with a known solution in order to determine if the code produces the correct solution. One can therefore simply study the modified problem\n", "$$\n", "\\partial_t u (t,x) = \\text{rhs}(t,x,u) + f_{\\text{ex}}(t,x) \\qquad (+)\n", "$$\n", "with an artificial forcing term $f_{\\text{ex}}$. This allows the following construction:\n", "1. Choose some analytically given function $u (t,x)$.\n", "2. Define $f_{\\text{ex}}(t,x) = \\partial_t u (t,x) - \\text{rhs}(t,x,u)$ (again computable via sympy)\n", "3. Then $u$ is by construction the exact solution to (+).\n", "\n", "If we now pass problem (+) to the solver (i.e. the right-hand side as well as the artificial forcing), then we can compare its approximations at time $t_n$ denoted by $u_{h,n}$ to the exact solution $u(t_n,x_i, y_j, z_k)$. Thus, we can determine if the error behaves asymptotically (i.e. as the time-step size and the mesh width tend to zero) with the correct order." ] }, { "cell_type": "markdown", "id": "758f6eab", "metadata": {}, "source": [ "### Testing the diffusion equation" ] }, { "cell_type": "markdown", "id": "fe2a4ee6", "metadata": {}, "source": [ "Define a test function for manufactured solutions testing" ] }, { "cell_type": "code", "execution_count": 7, "id": "0f1f85bc", "metadata": {}, "outputs": [], "source": [ "import sympy as sp\n", "import sympy.vector as spv\n", "\n", "CS = spv.CoordSys3D('CS')\n", "t = sp.symbols('t', real=True)\n", "\n", "test_funs_rd = (0.5 + 0.4 * sp.cos(4*sp.pi*CS.x) * sp.cos(2*sp.pi*CS.y)**3 \\\n", " * sp.cos(t*2*sp.pi)) * sp.exp(-t)" ] }, { "cell_type": "markdown", "id": "91cc80f7", "metadata": {}, "source": [ "Load the ReactionDiffusion ODE and timesteppers. Then perform various tests.\n", "The ``mode`` argument decides how the manufactured rhs is constructed.\n", "- if ``mode='spatial'``, the analytical rhs is used but temporal convergence is hard to show\n", "- if ``mode='temporal'``, the numerical rhs is applied to the exact solution u(t,grid) to construct the manufactured rhs." ] }, { "cell_type": "code", "execution_count": 8, "id": "249fdcb6", "metadata": {}, "outputs": [], "source": [ "from evoxels.utils import mms_convergence_test\n", "from evoxels.problem_definition import ReactionDiffusion\n", "from evoxels.timesteppers import PseudoSpectralIMEX, ForwardEuler\n", "\n", "results1 = mms_convergence_test(\n", " ODE_class = ReactionDiffusion,\n", " timestepper_cls = PseudoSpectralIMEX,\n", " problem_kwargs = {\"D\": 1.0},\n", " test_function = test_funs_rd,\n", " mode = 'spatial',\n", " t_powers = [8,9,10,11,12,13,14,15],\n", ")\n", "\n", "results2 = mms_convergence_test(\n", " ODE_class = ReactionDiffusion,\n", " timestepper_cls = ForwardEuler,\n", " problem_kwargs = {\"D\": 1.0},\n", " test_function = test_funs_rd,\n", " mode = 'spatial',\n", " t_powers = [8,9,10,11,12,13,14,15],\n", ")\n", "\n", "results3 = mms_convergence_test(\n", " ODE_class = ReactionDiffusion,\n", " timestepper_cls = PseudoSpectralIMEX,\n", " problem_kwargs = {\"D\": 1.0},\n", " test_function = test_funs_rd,\n", " mode = 'temporal',\n", " t_powers = [8,9,10,11,12,13,14,15],\n", ")\n", "\n", "results4 = mms_convergence_test(\n", " ODE_class = ReactionDiffusion,\n", " timestepper_cls = ForwardEuler,\n", " problem_kwargs = {\"D\": 1.0},\n", " test_function = test_funs_rd,\n", " mode = 'temporal',\n", " t_powers = [8,9,10,11,12,13,14,15],\n", ")" ] }, { "cell_type": "markdown", "id": "6e050c23", "metadata": {}, "source": [ "Helper function from utils to visualize the resulting error landscapes as a function of dt and dx. If the solver exits with NaN error, the L2 norm is set to Nan as well. " ] }, { "cell_type": "code", "execution_count": 9, "id": "6f0b7e53", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from evoxels.utils import plot_error_surface\n", "\n", "results1['name'] = 'IMEX_x'\n", "results2['name'] = 'Euler_x'\n", "results3['name'] = 'IMEX_t'\n", "results4['name'] = 'Euler_t'\n", "title = 'Comparison of IMEX and Euler forward'\n", "plot_error_surface([results1, results2, results3, results4], title=title)" ] }, { "cell_type": "markdown", "id": "c33093a9", "metadata": {}, "source": [ "Example with coupled reaction diffusion equation" ] }, { "cell_type": "code", "execution_count": 10, "id": "4c42e1c0", "metadata": {}, "outputs": [], "source": [ "from evoxels.problem_definition import CoupledReactionDiffusion\n", "test_funs_rd = (0.5 + 0.4 * sp.cos(2*sp.pi*CS.x) * sp.cos(2*sp.pi*CS.y)**3 * (sp.cos(t*2*sp.pi)),\n", " 0.4 + 0.1 * sp.sin(4*sp.pi*CS.x) *sp.exp(-t/10))\n", "\n", "results5 = mms_convergence_test(\n", " ODE_class = CoupledReactionDiffusion,\n", " timestepper_cls = PseudoSpectralIMEX,\n", " problem_kwargs = {\"D_A\": 1.0, \"D_B\": 0.5},\n", " test_function = test_funs_rd,\n", " mode = 'spatial',\n", " t_powers = [8,9,10],\n", ")\n", "\n", "results6 = mms_convergence_test(\n", " ODE_class = CoupledReactionDiffusion,\n", " timestepper_cls = PseudoSpectralIMEX,\n", " problem_kwargs = {\"D_A\": 1.0, \"D_B\": 0.5},\n", " test_function = test_funs_rd,\n", " mode = 'temporal',\n", " t_powers = [8,9,10],\n", ")" ] }, { "cell_type": "code", "execution_count": 11, "id": "3143743d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Spatial convergence rate from slope fit: [2.10641026 1.97092643]\n", "Expected order of convergence: 2\n", "Temporal convergence rate from slope fit: [1.16403104 0.9977435 ]\n", "Expected order of convergence: 1\n" ] } ], "source": [ "print(\"Spatial convergence rate from slope fit:\", results5['g_slopes'])\n", "print(\"Expected order of convergence: \", results5['g_order'])\n", "print(\"Temporal convergence rate from slope fit:\", results6['t_slopes'])\n", "print(\"Expected order of convergence: \", results6['t_order'])" ] }, { "cell_type": "code", "execution_count": 12, "id": "5f87ddec", "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAesAAAHqCAYAAAAkr2YEAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjMsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvZiW1igAAAAlwSFlzAAAPYQAAD2EBqD+naQABAABJREFUeJzsnXd8HPWZ/98z24vKSqveXXHBBmNMxxBIDBgCwSEJgcOGACa/EFJIAQ4ChAscCRcIBAzcBcwd8dFifASIQzGEZkyLbdxVVpKLet9eZn5/SDPsSitpJe1KazPv18sv0OzszHdmd+fzfZ7vUwRZlmU0NDQ0NDQ00hZxqgegoaGhoaGhMTKaWGtoaGhoaKQ5mlhraGhoaGikOZpYa2hoaGhopDmaWGtoaGhoaKQ5mlhraGhoaGikOZpYa2hoaGhopDmaWGtoaGhoaKQ5mlhraGhoaGikOZpYa6QlZ5xxBmeccUZSjykIAnfccUdSjzlV3HHHHQiCMNXDGMLatWsRBIH6+vqY7b/73e+YNm0aOp2OY445BoBwOMwvfvELysrKEEWRiy66KOnjScX3SENjKtDE+ktIbW0tq1evZtq0aZjNZjIzMznllFP4wx/+gM/nm+rhTRqKsCj/9Ho9JSUlrFq1ioMHD0718PB6vdxxxx28/fbbU3L+t99+O+b+mEwmCgoKOOOMM7j77rtpa2tL6DivvfYav/jFLzjllFN48sknufvuuwF44okn+N3vfsc3v/lNnnrqKX7yk5+k8nI0NA5r9FM9AI3J5ZVXXuGSSy7BZDJxxRVXMH/+fILBIO+99x4///nP2blzJ48//vhUD3NS+fWvf01VVRV+v58PP/yQtWvX8t5777Fjxw7MZvOUjcvr9XLnnXcCDLEOb731Vm666aZJGccNN9zA8ccfTyQSoa2tjQ8++IDbb7+d3//+9zz33HN85StfUff9l3/5F77zne9gMpnUbZs2bUIURf70pz9hNBpjtpeUlHD//fenbOyvvfZayo6toTGZaGL9JcLlcvGd73yHiooKNm3aRFFRkfraD37wA2pqanjllVemcIRTw7nnnsvixYsBuPrqq3E6ndx777289NJLfOtb35ri0cVHr9ej10/Oz/e0007jm9/8Zsy2bdu28bWvfY0VK1awa9cu9buk0+nQ6XQx+7a2tmKxWGKEWtmenZ2d0rEPPufhQDgcRpKkuGP3eDzYbLZxH1uWZfx+PxaLZSJD1JgCNDf4l4jf/va3uN1u/vSnP8UItcKMGTP40Y9+pP4dDoe56667mD59OiaTicrKSm655RYCgUDM+4ZbC66srGTVqlXq34rb+Z133mH16tXk5uaSmZnJFVdcQVdX16jjDwQC3H777cyYMQOTyURZWRm/+MUvhownEAjwk5/8hLy8PDIyMvj617/OgQMHRj2+wmmnnQb0LxdEs2fPHr75zW+Sk5OD2Wxm8eLFvPTSSzH7dHZ28rOf/Yyjjz4au91OZmYm5557Ltu2bRtyHr/fzx133MGsWbMwm80UFRVx8cUXU1tbS319PXl5eQDceeedqitauc/x1qwT/bwqKys5//zzee+991iyZAlms5lp06bx3//93wnfo4ULF/LAAw/Q3d3NH//4R3X74DVrQRB48skn8Xg86jUo+7z11lvs3LlT3f7222+rrvfBrv/6+nr1vQrNzc1ceeWVlJaWYjKZKCoq4sILL4xZL4+3Zt3a2sr3vvc9CgoKMJvNLFy4kKeeeiru+e677z4ef/xx9Z4ef/zxfPzxxwndo+7ubn784x9TVlaGyWRixowZ3HvvvUiSFPc8DzzwgHqeXbt2qZ/xrl27+O53v4vD4eDUU08Fxv5Z//3vf2fx4sVYLBYee+wxAF5//XVOPfVUsrOzsdvtzJ49m1tuuSWha9OYfDTL+kvEX//6V6ZNm8bJJ5+c0P5XX301Tz31FN/85je58cYb2bJlC/fccw+7d+/mxRdfHPc4rr/+erKzs7njjjvYu3cva9asoaGhQX1Qx0OSJL7+9a/z3nvvce211zJnzhw+//xz7r//fvbt28eGDRtixv3000/z3e9+l5NPPplNmzaxfPnyhMenPOwdDoe6befOnZxyyimUlJRw0003YbPZeO6557jooov4y1/+wje+8Q0A6urq2LBhA5dccglVVVW0tLTw2GOPsXTpUnbt2kVxcTEAkUiE888/nzfffJPvfOc7/OhHP6Kvr4/XX3+dHTt2cPbZZ7NmzRq+//3v841vfIOLL74YgAULFgw77rF8XjU1NXzzm9/ke9/7HitXruSJJ55g1apVHHfcccybNy+h+6S8/7XXXuM3v/lN3H3+53/+h8cff5yPPvqI//qv/wLg2GOP5X/+53/4zW9+g9vt5p577gFgzpw57N69O6FzA6xYsYKdO3fywx/+kMrKSlpbW3n99ddpbGyksrIy7nt8Ph9nnHEGNTU1XH/99VRVVfH888+zatUquru7YyarAOvWraOvr4/Vq1cjCAK//e1vufjii6mrq8NgMAw7Nq/Xy9KlSzl48CCrV6+mvLycDz74gJtvvpmmpiYeeOCBmP2ffPJJ/H4/1157LSaTiZycHPW1Sy65hJkzZ3L33XejdDQey2e9d+9eLr30UlavXs0111zD7Nmz2blzJ+effz4LFizg17/+NSaTiZqaGt5///2E77/GJCNrfCno6emRAfnCCy9MaP+tW7fKgHz11VfHbP/Zz34mA/KmTZvUbYB8++23DzlGRUWFvHLlSvXvJ598Ugbk4447Tg4Gg+r23/72tzIg/9///Z+6benSpfLSpUvVv//nf/5HFkVRfvfdd2PO8eijj8qA/P7778eM+//9v/8Xs993v/vdIeNUxvPGG2/IbW1t8v79++UXXnhBzsvLk00mk7x//35137POOks++uijZb/fr26TJEk++eST5ZkzZ6rb/H6/HIlEYs7tcrlkk8kk//rXv1a3PfHEEzIg//73vx9y3yRJkmVZltva2oa9t7fffrsc/fMdy+dVUVEhA/I777yjbmttbZVNJpN84403qtveeustGZCff/75IedXWLhwoexwONS/lXvqcrnUbStXrpRtNtuQ9y5dulSeN29ezDblnG+99VbMdpfLJQPyk08+KcuyLHd1dcmA/Lvf/W7YsSnniP4ePfDAAzIgP/300+q2YDAon3TSSbLdbpd7e3tjzpebmyt3dnaq+/7f//2fDMh//etfRzzvXXfdJdtsNnnfvn0x22+66SZZp9PJjY2NMefJzMyUW1tbY/ZVPuNLL700Zvt4PuuNGzfG7Hv//ffLgNzW1jbidWikD5ob/EtCb28vABkZGQnt/+qrrwLw05/+NGb7jTfeCDChte1rr702xir5/ve/j16vV88Zj+eff545c+Zw1FFH0d7erv5TgpveeuutmHHfcMMNMe//8Y9/POyxzz77bPLy8igrK+Ob3/wmNpuNl156idLSUqDftb1p0ya+9a1v0dfXp567o6ODZcuWUV1drUaPm0wmRLH/ZxWJROjo6FBdjJ999pl6zr/85S84nU5++MMfDhnPeFKyxvp5zZ07V3X3A+Tl5TF79mzq6urGdF673U5fX9+YxztRlDXwt99+O6ElFIVXX32VwsJCLr30UnWbwWDghhtuwO12849//CNm/29/+9sxHhblno12n55//nlOO+00HA5HzPf17LPPJhKJ8M4778Tsv2LFCnXZYzDXXXfdkGuAxD/rqqoqli1bFrNNiRX4v//7vxi3vEb6ornBvyRkZmYCJPxgbWhoQBRFZsyYEbO9sLCQ7OxsGhoaxj2WmTNnxvxtt9spKioakpsbTXV1Nbt37x72gdba2hoz7unTp8e8Pnv27GGP/fDDDzNr1ix6enp44okneOedd2KimWtqapBlmdtuu43bbrtt2POXlJQgSRJ/+MMfeOSRR3C5XEQiEXWf3Nxc9f9ra2uZPXt20oLExvp5lZeXDzmGw+EYk/ABuN3uhCeAycRkMnHvvfdy4403UlBQwIknnsj555/PFVdcQWFh4bDva2hoYObMmeqESmHOnDnq69EMvk+KcI92n6qrq9m+ffuo31eFqqqqYY81+LWxftbxjv3tb3+b//qv/+Lqq6/mpptu4qyzzuLiiy/mm9/85pB7o5EeaGL9JSEzM5Pi4mJ27NgxpvdNpPBGtFBNFEmSOProo/n9738f9/WysrJxH3vJkiVqNPhFF13Eqaeeyne/+1327t2L3W5XLY+f/exnQywUBeXBeffdd3Pbbbdx1VVXcdddd5GTk4Moivz4xz+eFAsm0c9rcMS2gjywJpoIoVCIffv2MX/+/ITfMxrDjT/ed+nHP/4xF1xwARs2bODvf/87t912G/fccw+bNm3i2GOPTcp4xnufJEniq1/9Kr/4xS/ivj5r1qyYv0eKzh7utUQ/63jvt1gsvPPOO7z11lu88sorbNy4kWeffZavfOUrvPbaa8Net8bUoYn1l4jzzz+fxx9/nM2bN3PSSSeNuG9FRQWSJFFdXa1aHQAtLS10d3dTUVGhbnM4HHR3d8e8PxgM0tTUFPfY1dXVnHnmmerfbrebpqYmzjvvvGHHM336dLZt28ZZZ5014kNKGbdiuSrs3bt32PdEo9PpuOeeezjzzDP54x//yE033cS0adOAfnfp2WefPeL7X3jhBc4880z+9Kc/xWzv7u7G6XTGXM+WLVsIhULDBiqNZaI0ls8rWbzwwgv4fL5hJzDjQbFcB3+fhvPkTJ8+nRtvvJEbb7yR6upqjjnmGP7jP/6Dp59+Ou7+FRUVbN++HUmSYizIPXv2qK8ng+nTp+N2u0f9voyHZH3Woihy1llncdZZZ/H73/+eu+++m3/913/lrbfeSsm4NSaG5u/4EvGLX/wCm83G1VdfTUtLy5DXa2tr+cMf/gCgCufgqFXFso2Orp4+ffqQNbjHH398WMv68ccfJxQKqX+vWbOGcDjMueeeO+zYv/Wtb3Hw4EH+8z//c8hrPp8Pj8cDoB7jwQcfjNln8HWMxBlnnMGSJUt44IEH8Pv95Ofnc8YZZ/DYY4/FnYBEV/LS6XRDrK7nn39+SEW0FStW0N7eHpP2pKC832q1AkOFKx5j+bySwbZt2/jxj3+Mw+HgBz/4QdKOW1FRgU6nG/J9euSRR2L+9nq9+P3+mG3Tp08nIyNjSPpSNOeddx7Nzc08++yz6rZwOMxDDz2E3W5n6dKlSbiK/u/r5s2b+fvf/z7kte7ubsLh8LiPnYzPurOzc8g2pQzsSPdPY+rQLOsvEdOnT2fdunV8+9vfZs6cOTEVzD744AM1hQX682hXrlzJ448/Tnd3N0uXLuWjjz7iqaee4qKLLoqxjK+++mquu+46VqxYwVe/+lW2bdvG3//+9xhLMppgMMhZZ53Ft771Lfbu3csjjzzCqaeeyte//vVhx/4v//IvPPfcc1x33XW89dZbnHLKKUQiEfbs2cNzzz2n5pEec8wxXHrppTzyyCP09PRw8skn8+abb1JTUzOme/Xzn/+cSy65hLVr13Ldddfx8MMPc+qpp3L00UdzzTXXMG3aNFpaWti8eTMHDhxQ86jPP/98fv3rX3PllVdy8skn8/nnn/PnP/9Ztc4VrrjiCv77v/+bn/70p3z00UecdtppeDwe3njjDf7f//t/XHjhhVgsFubOncuzzz7LrFmzyMnJYf78+XHdzmP5vMbKu+++i9/vVwPm3n//fV566SWysrJ48cUXR1wjHitZWVlccsklPPTQQwiCwPTp03n55ZeHrPHu27dP/Q7NnTsXvV7Piy++SEtLC9/5zneGPf61117LY489xqpVq/j000+prKzkhRde4P333+eBBx5I2vr7z3/+c1566SXOP/98NSXO4/Hw+eef88ILL1BfXz/s72M0kvFZ//rXv+add95h+fLlVFRU0NrayiOPPEJpaamay62RZkxpLLrGlLBv3z75mmuukSsrK2Wj0ShnZGTIp5xyivzQQw/FpCaFQiH5zjvvlKuqqmSDwSCXlZXJN998c8w+sizLkUhE/uUvfyk7nU7ZarXKy5Ytk2tqaoZN3frHP/4hX3vttbLD4ZDtdrt82WWXyR0dHTHHHJxyI8v9KTb33nuvPG/ePNlkMskOh0M+7rjj5DvvvFPu6elR9/P5fPINN9wg5+bmyjabTb7gggvk/fv3D5u69fHHHw+5R5FIRJ4+fbo8ffp0ORwOy7Isy7W1tfIVV1whFxYWygaDQS4pKZHPP/98+YUXXlDf5/f75RtvvFEuKiqSLRaLfMopp8ibN2+Oez1er1f+13/9V/X+FhYWyt/85jfl2tpadZ8PPvhAPu6442Sj0Rgz/sGpW2P5vCoqKuTly5cPuebBY1TSqJR/BoNBzsvLk08//XT5N7/5zZBUo+h7Ot7ULVnuT1lbsWKFbLVaZYfDIa9evVresWNHTOpWe3u7/IMf/EA+6qijZJvNJmdlZcknnHCC/Nxzz414TbIsyy0tLfKVV14pO51O2Wg0ykcffbR6XAUlpSpeatjg79Fw9PX1yTfffLM8Y8YM2Wg0yk6nUz755JPl++67T01dHOk8ymccL71qop/1m2++KV944YVycXGxbDQa5eLiYvnSSy8dkmqmkT4IsjyGiBINjQmwdu1arrzySj7++GM1oEtDQ0NDY3S0NWsNDQ0NDY00RxNrDQ0NDQ2NNEcTaw0NDQ0NjTRHW7PW0NDQ0NBIczTLWkNDQ0NDI83RxFpDQ0NDQyPN0cRaQ0NDQ0MjzdHEWkNDQ0NDI83RxFpDQ0NDQyPN0cRaQ0NDQ0MjzdHEWkNDQ0NDI83RxFpDQ0NDQyPN0cRaQ0NDQ0MjzdH6WWtoaGhMMpIkEQwGp3oYGinEYDCg0+mSdjxNrDU0NDQmkWAwiMvlQpKkqR6KRorJzs6msLAQQRAmfCxNrDU0NDQmCVmWaWpqQqfTUVZWhihqK5FHIrIs4/V6aW1tBaCoqGjCx9TEWkNDQ2OSCIfDeL1eiouLsVqtUz0cjRRisVgAaG1tJT8/f8IucW1ap6GhoTFJRCIRAIxG4xSPRGMyUCZkoVBowsfSxFpDQ0NjkknGGqZG+pPMz1kTaw0NDQ0NjTRHW7PW0NDQmGIkjwdpElO5RKMR0WabtPNpTBxNrDU0NDSmEMnjoevZ54j09EzaOXVZWTi+/a2EBXvVqlV0d3ezYcMGVq1axVNPPcXq1at59NFHY/b7wQ9+wCOPPMLKlStZu3at+t6nnnpqyDGXLVvGxo0bOXToEPPmzePOO+/khhtuUF/fsmULp556Kq+88gpf+9rXxn+xRwiaWGtoaGhMIVIwSKSnB8FkQjSbU38+v59ITw9SMDhu67qsrIxnnnmG+++/X4169vv9rFu3jvLy8iH7n3POOTz55JMx20wmEwDFxcU89NBDrF69mnPPPZeZM2fi8/lYuXIlV199tSbUA2hiraGhoZEGiGbzpLmmI4HAhN6/aNEiamtrWb9+PZdddhkA69evp7y8nKqqqiH7m0wmCgsLhz3e5Zdfzvr161m1ahXvvvsuN998M6FQiN/97nejjkWWZb761a+i0+nYuHEjgiDQ2dnJggULuOqqq/j1r389/gtNI7QAMw0NDQ2NMXPVVVfFWMtPPPEEV1555biP9+ijj1JdXc1ll13GH//4R5588knsdvuo7xMEgaeeeoqPP/6YBx98EIDrrruOkpISfvWrX417POmGJtYaGhoaGmPm8ssv57333qOhoYGGhgbef/99Lr/88rj7vvzyy9jt9ph/d999d8w++fn53HXXXTzzzDNce+21nH766QmPpaSkhMcee4ybbrqJm2++mVdffZWnn34avf7IcR4fOVeioaGhoTFp5OXlsXz5ctauXYssyyxfvhyn0xl33zPPPJM1a9bEbMvJyYn5OxKJsHbtWqxWKx9++CHhcHhMYnvJJZfw4osv8u///u+sWbOGmTNnjv2i0hhNrDU0NDQ0xsVVV13F9ddfD8DDDz887H42m40ZM2aMeKz77ruPuro6PvnkE5YuXcrdd989Jje21+vl008/RafTUV1dnfD7Dhc0N7iGhoaGxrg455xzCAaDhEIhli1bNu7j7Ny5k9tvv501a9YwZ84c1qxZw7/927+xffv2hI9x4403Iooif/vb33jwwQfZtGnTuMeTjmiWtYaGhobGuNDpdOzevVv9/+EIBAI0NzfHbNPr9TidTsLhMCtXruTiiy/m4osvBmDFihWsWLGCVatW8dFHH43qDn/llVd44okn2Lx5M4sWLeLnP/85K1euZPv27TgcjgleZXqgibWGhoZGGiD5/YfleTIzM0fdZ+PGjUPaRM6ePZs9e/Zw9913c/DgQV577bWY1x9++GHmzZs3qju8ra2N733ve9xxxx0sWrQIgDvvvJPXXnuN6667jmeffXYcV5V+CLIsy1M9CA0NDY0vA36/H5fLRVVVFeaBAiiHQwUzjfER7/MeL5plraGhoTGFiDYbjm9/S6sNrjEimlhraGhoTDGizaaJ5wjMmzePhoaGuK899thjahW1IxlNrDU0NDQ00ppXX32VUCgU97WCgoJJHs3UoIm1hoaGhkZaU1FRMdVDmHK0PGsNDQ0NDY00RxNrDQ0NDQ2NNEcTaw0NDQ0NjTRHE2sNDQ0NDY00RxNrDQ0NDQ2NNEeLBtfQ0NCYYjyBMIGwNGnnM+lFbCbt8X84oX1aGhoaGlOIJxBm3UeNdHvi5xGngmybge8uKU9YsFetWkV3dzcbNmxg1apVPPXUU6xevZpHH300Zr8f/OAHPPLII6xcuZK1a9eq733qqaeGHHPZsmVs3LiRQ4cOMW/ePO68805uuOEG9fUtW7Zw6qmn8sorr/C1r31t/BebBJqamrjxxhv55JNPqKmp4YYbbuCBBx6Y1DFoYq2hoaExhQTCEt2eEGaDiNkwfOeqZOEPRej2hAiEJWym8R2jrKyMZ555hvvvvx+LxdJ/XL+fdevWUV5ePmT/c845hyeffDJmm8nUf/Li4mIeeughVq9ezbnnnsvMmTPx+XysXLmSq6++esqFGvq7huXl5XHrrbdy//33T8kYtDVrDQ0NjTTAbNBhM+lT/i8ZE4JFixZRVlbG+vXr1W3r16+nvLycY489dsj+JpOJwsLCmH/RrSsvv/xyli1bxqpVq5AkiZtvvplQKMTvfve7UcciyzJnn302y5YtQ+lL1dnZSWlp6YjduhTWrl1LdnZ2zLYNGzYgCIL6d2VlJX/4wx+44ooryMrKGvWYqUATaw0NDQ2NMXPVVVfFWMtPPPEEV1555biP9+ijj1JdXc1ll13GH//4R5588knsdvuo7xMEgaeeeoqPP/6YBx98EIDrrruOkpKShMT6cEETaw0NDQ2NMXP55Zfz3nvv0dDQQENDA++//z6XX3553H1ffvll7HZ7zL+77747Zp/8/HzuuusunnnmGa699lpOP/30hMdSUlLCY489xk033cTNN9/Mq6++ytNPP41ef+Ss9B45V6KhoaGhMWnk5eWxfPly1q5diyzLLF++HKfTGXffM888kzVr1sRsy8nJifk7Eomwdu1arFYrH374IeFweExie8kll/Diiy/y7//+76xZs4aZM2eO/aLSGE2sNTQ0NDTGxVVXXcX1118PwMMPPzzsfjabjRkzZox4rPvuu4+6ujo++eQTli5dyt133z0mN7bX6+XTTz9Fp9NRXV2d8PtEUVTXuhWG6/A1lWhucA0NDQ2NcXHOOecQDAYJhUIsW7Zs3MfZuXMnt99+O2vWrGHOnDmsWbOGf/u3f2P79u0JH+PGG29EFEX+9re/8eCDD7Jp06aE3peXl0dfXx8ej0fdtnXr1rFeQsrRLGsNDQ0NjXGh0+nYvXu3+v/DEQgEaG5ujtmm1+txOp2Ew2FWrlzJxRdfzMUXXwzAihUrWLFiBatWreKjjz4a1R3+yiuv8MQTT7B582YWLVrEz3/+c1auXMn27dtjos7jccIJJ2C1Wrnlllu44YYb2LJli5ojHo0i4G63m7a2NrZu3YrRaGTu3LkjHj9ZaJa1hkaa4PV6aWhowO12D3HLaRz5+EMRPIFwyv/5Q5GkjjszM5PMzMwR99m4cSNFRUUx/0499VQA7r77bg4ePMgf//jHmPc8/PDDNDU1DQlEG0xbWxvf+973uOOOO1i0aBEAd955JwUFBVx33XWjjj8nJ4enn36aV199laOPPpr//d//5Y477hiy37HHHsuxxx7Lp59+yrp16zj22GM577zzRj1+shBk7amgoTGl+Hw+9u3bx/79+zEajfj9fsxmMzk5OTidTvLy8rBarTF5nxqHJ36/H5fLRVVVFWazGTg8KphpjI94n/d40T4pDY0pIlqkMzMzmTdvHhkZGZhMJrq7u+ns7MTlcrF9+3bMZjO5ubmqeFssFk28jxBsJj3fXVKu1QbXGBHt09LQmGR8Ph/V1dU0NjaSmZnJ0UcfjcPhIBKJEIlE0Ov15Ofnk5+fjyzLhMNhOjs76ezspLa2lq1bt2K1WlXxdjqdmngf5vRXF5vqUaQv8+bNo6GhIe5rjz32GJdddtmw773uuut4+umn4752+eWXD6lvnq5obnANjUkiWqQzMjKorKzE4XCoIhsOh4lEIthsNkQxfjiJLMuEQiFVvLu6uujr68Nms8WIt9ls1sQ7DUmmW/TLRENDw7DpVAUFBWRkZAz73tbWVnp7e+O+lpmZSX5+flLGGI9kft6aWGtopBhFpBsaGjAajRx11FExIq2QiFgPRpZlgsEgXV1ddHR00NXVhdvtxm63k5ubS25uLnl5eZhMJk280wBNrL9caGvWGhqHAT6fj5qaGhoaGsjIyKCwsJBwODykcpPCeMRUEISYJgmKeCuW9969e/nss89U8c7LyyM3N1cTbw2NwwxNrDU0kozf71ctabvdzvz588nJyWH//v3DuuOShSLeSnqMLMsEAgFVvHfv3o3H4yEjIyNGvI1GoybeGhppjCbWGhpJYjiRjhbByV51EgQBs9lMcXExxcXFqnh3dHTQ2dnJzp078Xq92Gw28vPzVfE2GAyaeGtopBGaWGtoTBC/309NTQ319fXDijSMz82dbBTxLikpoaSkBFmW2b9/Py6Xi0AgwOeff47f7yczM1MNWNPEW0Nj6tHEWkNjnAQCAdWStlqtw4p0NOkWz6m4zQ0GAwsWLECWZXw+n+o23759O4FAgKysLFW8c3JyNPHW0JhkNLHW0Bgjg0V67ty55Obmjipeh4O4CYKA1WrFarVSWlqqirfiNt+6dSvBYJDs7OwYy1un0x0W15eueENeApHApJ3PpDNhNVgn7XwaE0cTaw2NBAkEAqq7WxHpnJychNOsIDHLOp2s72jxLisrQ5KkGPHev38/oVAoRrxzcnI08R4D3pCX5/c9T3ege9LOmW3K5pJZlyQs2KtWraK7u5sNGzawatUqnnrqKVavXj2koMgPfvADHnnkEVauXKk2w1D2H8yyZcvYuHEjhw4dYt68edx5553ccMMN6utbtmzh1FNP5ZVXXuFrX/vaiOO744472LBhQ1p2y0oWmlhraIxCMkQaDg/LejREUcRms2Gz2SgvL0eSJLxeryreDQ0NhMNhsrOz1QItinhrxCcQCdAd6MasM2PWpz732h/20x3oJhAJjNu6Lisr45lnnuH+++/HYrH0H9fvZ926dZSXlw/Z/5xzzuHJJ5+M2WYy9ZdsKy4u5qGHHmL16tWce+65zJw5E5/Px8qVK7n66qtHFeovC5pYa2gMQzAYpLq6esIiHU06Wc3JQBRF7HY7drudiooKJEnC4/GoBVpcLheRSASHw6GmijkcDk2842DWmyfNNe2P+Cf0/kWLFlFbW8v69evVUp/r16+nvLycqqqqIfsrtQCG4/LLL2f9+vWsWrWKd999l5tvvplQKMTvfve7Uceydu1a7rzzTuCLCfGTTz7JqlWrxnFl6Ysm1hoag4gWaYvFwpw5c8jNzZ2QSEP/g+RIE+vBiKJIRkaGWk5VkiTcbrcasOZyuZAkKUa8s7OzNfE+DLnqqqt48sknVbF+4oknuPLKK3n77bfHdbxHH32U+fPnc9lll/H888+zadMm7Hb7qO/79re/zY4dO9i4cSNvvPEGAFlZWeMaQzqjibWGxgDBYJCamhpcLldSRfrLjCiKar9jRbz7+vpiGpMAqng7nU4cDod2zw8DLr/8cm6++Wa1wcb777/PM888E1esX3755SHCe8stt3DLLbeof+fn53PXXXdx3XXX8f3vf5/TTz89oXFYLBbsdjt6vX5E6/1wRxNrjS89ikjX19cTDoc56qijKCgoSLpgfBks69EQRZGsrCyysrKoqqpCkiR6e3upq6ujrq6OmpoaAHJyclTxzs7O1sQ7DcnLy2P58uWsXbsWWZZZvnw5Tqcz7r5nnnkma9asidk2uOxuJBJh7dq1WK1WPvzwQ8LhMHq9JlEK2p3Q+NISLdJms5lZs2axc+fOCa9LaySOKIpkZ2er+ekLFy6kp6eHzs5O2tra2LdvH6Ioxoh3VlaW9vmkCVdddRXXX389AA8//PCw+9lsNmbMmDHise677z7q6ur45JNPWLp0KXfffTe/+tWvkjrewxlNrDW+dASDQWpra3G5XJhMJmbPno3T6UQQBHbu3Jmy82qW9eiIoojD4cDhcAD91lZPTw9dXV20tLSwZ88edDqd2lHM6XSSmZmpifcUcc455xAMBhEEgWXLlo37ODt37uT2229n3bp1zJkzhzVr1nDppZdy0UUXsWDBglHfbzQaiUQi4z7/4YAm1hpfGoYTaeVBrwipJqiTjyzLcVPbdDodOTk55OTkMH36dFW8Ozs7aWpqYvfu3ej1enJycnA6neTl5WG32zXxniR0Oh27d+9W/384AoEAzc3NMdv0ej1Op5NwOMzKlSu5+OKLufjiiwFYsWIFK1asYNWqVXz00UejusMrKytxuVxs3bqV0tJSMjIy1NSwIwVNrDWOeEYTaQVBEFJq/Y52bL/fT3NzMw6HA6fTqa3XxSFavKHf8u7u7qazs5ODBw+ya9cuDAZDjHiPpT/4VOIPTyydaqrOk5mZOeo+GzdupKioKGbb7Nmz2bNnD3fffTcHDx7ktddei3n94YcfZt68eQm5w1esWMH69es588wz6e7uPiJTtwRZMyM0jlCCwaAauGQymaisrIwr0tG89dZbnHDCCVityc93bW1tpbGxkcWLF8ds9/v9NDQ0cOjQIbKysggGg/h8PrWZRm5ubkrTm1paWqitreXkk09OyfETweVy0dPTwzHHHDPuY8iyHCPenZ2d9PT0YDQaVZe50+mcUvH2+/24XC6qqqowm/sLoBwOFcw0xke8z3u8aFN3jSOOUCikWtJGo5FZs2aRl5eX0AM61evK0ccOBAKqSDudTo477jhMJhNWq5VgMEhnZycdHR18/vnnBAIBHA6HGmh1pAVZDecGHwuCIKiuVafTqYp3V1cXXV1dNDY28vnnn2MymYaI91RWl7MarFwy6xKtNrjGiGhirXHEEAqFVEvaYDAwc+bMhEVaIdVucOi3+BsbGzlw4AA5OTkcd9xxZGRkEIlECIfDQH/uaHQby8ElPaMLi+Tk5JCZmXlElDNNJop45+XlkZeXhyzLhMNh1fKur69n+/btmM1m1YORl5eH1Wqd9HtpNVg18RyBefPmqfncg3nsscfUwixHMppYaxz2JEOkFVL5kI5EIvj9fjZv3kxWVhaLFi1KaL1PEISYetyyLON2u+no6KCjo4Pa2loEQVDXcnNzc6fcWhwrybCsR0MQBAwGwxDx7urqUqurbdu2DYvFonYTy8vLw2KxHFb38kjk1VdfJRQKxX2toKBgkkczNWhirXHYkkyRjibZlnU4HGb//v00NDSoucTZ2dlD9ktUEARBGFLSs7e3l87OTlpbW9m7dy96vV61unNzc1OyBn+4o4h3fn4++fn5yLLM3//+d6qqqvB4PNTW1rJ161ZsNltMwJrZbNbEe5KpqKiY6iFMOZpYaxx2pEqkIblu8EgkwoEDB2hsbMRqtVJZWUlLS0tcoZ4ISmGR7Oxspk2bhiRJdHd309HRwaFDh9i1axdms1kV7pycnJhgF014+lHug9PpVD0YoVBIDVarqanhn//8JzabLWbNWxNvjclAE2uNw4ZQKITL5aK2thaDwcCMGTPIz89PaqBVMsQ6Eolw6NAhGhoaMJlMareuzs5OWlpakjTS4VEqfinpTdGuXmWdVhGcnJwcJElK+ZhGYzLc4ImMAb4QbUEQMBqNFBYWUlhYiCzLauBfZ2cn+/bt47PPPsNut8eIt8lkmvJr0Tjy0MRaI+2JFulIJMLs2bOTLtIKExFrSZJoamqivr4eg8EQUxlNYSoyJaODrADVWuzo6KCmpga3240oiuzZs4fc3FwcDseXOsd7OKEVBAGTyURRURFFRUWqeCvtQPfs2YPH4yEjI0MV79zcXE28NZLCl/cXqZH2KCJdV1eHTqejtLSUhoaGlHbWGY9YS5JEc3Mz9fX1iKKouuUHP6DT5YFtMBgoKChQA3MOHjxITU0N4XCY3bt34/P5yMrKUt3mk9HCMh0t69FQxLu4uJji4mJkWSYQCKiW965du/B6vWq+vNPpTKjlo4ZGPDSx1kg7wuGwaknrdDqmTZtGQUEBPp9v2PSNqUCWZVpaWnC5XADqOEd62CcyEZhs69tgMKDX65k/fz4APp9PTRPbvn07oVCI7Oxs1W1+pOV4K4xVrAcjCAJmszlGvP1+vyreO3fuJBQKUVRUhM/nQxRF9Hq9WjlPQ2MkNLHWSBuiRVoURVX8FGEQBCHl66uJWNayLNPW1obL5SISiVBZWUlhYeGoAna4PJAtFgulpaWUlpYiyzIej0d1m9fX1yNJUkyaWEZGxmFzbSMxUbEejCAIQ/Lle3t7aW5uRpZlfD4fsiyj0+mIRCIIgoBOp5uUe6nX64+42tlHOppYa0w54XCY+vp6ampqEEWRqqqquOI3GV2rRjqHLMu0t7fjcrkIBoNUVlZSXFw8JivzcKvuKwgCdrsdu92uRkj39fXFrHlHt7DMyckZV4734egGHyuK5a3X6zGbzZjNZiRJwuv1snXrVrxeL7IsI4oioigiCELMRDWZWCwWtWJeIqxatYru7m42bNjAqlWreOqpp1i9ejWPPvpozH4/+MEPeOSRR1i5ciVr165V3/vUU08NOeayZcvYuHEjhw4dYt68edx5553ccMMN6utbtmzh1FNP5ZVXXuFrX/vaiOO744472LBhA1u3bk3oehLlhhtu4P3332fHjh3MmTMn6ccfC5pYa0wZiYq0QnR3rFQ+UAcLqizLdHZ2UldXh9/vV0V6rOu4Uy1GyUAQBDIzM8nMzIzJ8e7o6FBbWCqNNBTxPlxyvKdiIqUIczgcxmq1otfrkSQppgCIso8oikmJHQiFQvh8PsLh8Lit67KyMp555hnuv/9+LBYL0F8He926dZSXlw/Z/5xzzuHJJ5+M2aacu7i4mIceeojVq1dz7rnnMnPmTHw+HytXruTqq68eVahTzVVXXcWWLVvYvn37lI5DE2uNSUcRaaXy1mgiraCIXarFOpquri7q6urweDxUVFRQWlo6oQfm4WZZj0Z0jrfSwlIp53ngwAF27typlvNUBDyeQKSDZa0wVeMwGAwYjUZ1DEajUV36iUQi6n+TId5KWdvxsmjRImpra1m/fr1a6nP9+vWUl5dTVVU1ZH+TyTRiYOjll1/O+vXrWbVqFe+++y4333wzoVCI3/3ud6OOZe3atdx5553AF5/daF236uvrqaqq4p///KfaPKa7uxuHw8Fbb73FGWecAcCDDz4IQFtbmybWGl8ewuEwDQ0N1NTUIAgCFRUVFBUVJexGjhbrVKFY1j09PdTV1dHX10dZWRkLFy6ccDpTuohRKtHpdGqd7ZkzZ6o53sp69/bt27Hb7apwOxwOVaCmmlS7wceKEnim0+lUUZZlWRVtRXCTbXknylVXXcWTTz6pivUTTzzBlVdeydtvvz2u4z366KPMnz+fyy67jOeff55NmzYlFD3/7W9/mx07drBx40beeOMNALKyssY1hnRGE2uNlDNRkVaYDLGORCK4XC58Ph+lpaXMnz8fg8GQtOMfaZb1aAzO8Q4Gg6p4V1dX43a71SYkRqORcDg8ZTne6SbW8Rgs3pIkqd3FJlu8L7/8cm6++WY1Q+P999/nmWeeiSvWL7/88hDhveWWW7jlllvUv/Pz87nrrru47rrr+P73v8/pp5+e0DgsFgt2ux29Xp/StM6pRhNrjZQRiUTUNWlFpAsLC8f9AEmlWLvdburq6vB6veTm5nLMMcck3eJLZxGYLIxGY0yOt5LaVFdXR1dXF2+++SZZWVmq23wycrwVDgexHowy4R1NvHU6nSrgySIvL4/ly5ezdu1aZFlm+fLlOJ3OuPueeeaZrFmzJmabUmFPIRKJsHbtWqxWKx9++OGUTtzSEe1OaCSdSCRCQ0MD1dXVABMWaYVUiLXH48HlctHe3k5xcTEZGRkUFBSkzDX7ZbOsR0PJS+7t7UWWZSoqKtRI8wMHDhAKhWL6eGdmZqYsxzud1s3HSzzxVtzmStBaOBwmHA4TiUQmfM1XXXUV119/PQAPP/zwsPvZbDZmzJgx4rHuu+8+6urq+OSTT1i6dCl33303v/rVr8Y9tpGIDlZVGK6rV7qgibVG0lBEuqamBlmWKS8vp6ioKGmWUTLF2uv1Ul9fT2trK4WFhZx44omYzWY+++yzlPez1hiKcs+tVitWqzUmx1sp0BKd461Y3snM8U63iVQyrmuwNa2ItyRJeDweJElCr9er/8aa533OOecQDAYRBIFly5aNe5w7d+7k9ttvZ926dcyZM4c1a9Zw6aWXctFFF7FgwYJR3280GolEIgmfT1mWaWpq4thjjwWY0rSsRNDEWmPCKCK9d+/emDXpZLsvlYfIRAqj+Hw+6uvraWlpoaCggBNOOEFNPZkM0k0Q0ol45VmVHO+Kigo1x1vp411dXR2T4620Ah2vyB0JlvVoKFXTDAYDdrsds9lMOBwmFArh9/vVNfFExVun07F79271/4cjEAjQ3Nwcs02v1+N0OgmHw6xcuZKLL76Yiy++GIAVK1awYsUKVq1axUcffTSqO7yyshKXy8XWrVspLS0lIyNjxLQ0i8XCiSeeyL//+79TVVVFa2srt95665D9lNr5zc3N+Hw+VdDnzp076YGRmlhrjBtJklR3t9JO8LjjjiMzMzNl5xxvYZRAIEB9fT1NTU3k5eWxZMmSuPm/qSy8MloZ0tbWVg4cOIDVaiUvL4/c3NyYVpZfdqJzvKuqqpAkiZ6eHjo7O2lublZzvKPTxMY6EZtKsY52wwaDwZS5+5XzRAermUwmda1bcZlHi7fiMo/320jk975x40aKiopits2ePZs9e/Zw9913c/DgQV577bWY1x9++GHmzZuXkDt8xYoVrF+/njPPPJPu7u5RU7egP3r9e9/7HscddxyzZ8/mt7/97ZCc7quvvpp//OMf6t+KFe5yuaisrBzlqpOLIGtTfY0xMlikFXf3+++/z7HHHktGRkbKzv32229z/PHHY7PZEto/GAzS0NDAwYMHyc3NpaqqasR0kK1bt5KXl0dJSUmyhqzidrv59NNPWbp0qbpNKbhSW1tLMBikuLgY6M/v7unpUVtZKgKUzMh0hdbWVqqrqznllFOSfuxE2bVrFzqdjtmzZ4/7GEqOt+I27+npwWKxxLjNR7K2+vr62LJlC2efffa4xzAagUCAAwcOUFlZqU7EgsEgn376KT6fL2a/VJYDVSqYjWQdKl3FlImDUhJVsbgNBoNaaU0jPn6/H5fLRVVV1YQn3pplrZEwikjX1NQQiUQoLy+PqeQlimLK3byJniMUCqki7XA4OO644xKaREymZd3d3U1tbS1er1ddOohEImolq+hWlvv27Yvp4DRZ3bAOJ6JzvKE/kEppolFXV8e2bdvU3tNKbfPoyc9UucGNRiPHHXecGr2trCenctKr1+tHdeNG1yq32WzDWt7Ra96aeKcOTaw1RmU0kVZIh0YboVCI/fv3s3//frKysjjmmGPGVCAh1fXHlXXX2tpaenp6KC8vVwuuKFG7CoNbWfr9fnW9VumG5XA4VIFS8pUPR1Jxz/V6Pfn5+eTn5wP9Fqwi3vv27cPj8cRMfqZSaIxGoyqeSgBYOpRpjZ7ARAtztNs8HA4TDAbx+XwpE+958+YN23HvscceUwuzKPz5z39m9erVcfevqKhg586dEx7TZJMWYn3GGWdwzDHH8MADD0z1UIawd+9eli5dSnV1dUpnumPlpptuwuPx8NBDD6XsHJIk0djYSHV19YgirTAZlvVwYhoOhzlw4ACNjY3Y7XYWLlxIdnb2uI6fKvx+P5Ik8emnn1JaWjpskMpw99BsNsd0cFIipTs6Oqirq0MQhKQFW00FqR6r0WiksLBQLZyh5Hh3dHSwY8cOAoEAANXV1arn4khsBZosooUZSKl4v/rqq8OmVimT2Wi+/vWvc8IJJ8TdPxVLSZNBWoh1smlqauLGG2/kk08+oaamhhtuuCHuROD555/ntttuo76+npkzZ3Lvvfdy3nnnxexz880388Mf/jCthBrgZz/7GdOmTeMnP/kJ06ZNS+qxxyrSClNhWUciEQ4ePEhDQwMWi4X58+fjcDgm9OBP9oTD5/PhcrloaWkB4KSTTprweuTgSOnohhrNzc3s3r0bk8mkCvdwNbm/zAzuPd3c3MzOnTvxer3s37+fcDisei5ycnJSmuN9JJBK8a6oqBjTWDIyMtLumT1RjkixDgQC5OXlceutt3L//ffH3eeDDz7g0ksv5Z577uH8889n3bp1XHTRRXz22WfMnz8fgMbGRl5++eUJW6/BYHCIBaUEa4z1x6+8z+l0smzZMtasWZNQsftEGCzSZWVllJSUJLwuOpktLCVJUkXaZDIxZ84ccnNzJ2ydJfMaAoEADQ0NHDp0iLy8PI455hi2bt2aEtGM11AjXk3u6GC1dKoONdVpU9HtKxcuXBjXcwHE9PG22+0pGXM6xfxO5HOJJ95KMZZAIIDP51Orq2lr3qOTdtPErq4urrjiChwOB1arlXPPPVethKXwn//5n5SVlWG1WvnGN77B73//+xiXZ2VlJX/4wx+44oorhl2v/MMf/sA555zDz3/+c+bMmcNdd93FokWL+OMf/6ju89xzz7Fw4cIhkcHvvfcep512GhaLhbKyMm644QY8Hk/M+e+66y6uuOIKMjMzufbaa1m7di3Z2dm89NJLzJ07F5PJRGNj46jXO9z7AC644AKeeeaZcd9rBWVNetOmTezevZvi4mJOPPFEysvLxxTANBlucOiPXt68eTOHDh1i9uzZLF68GKfTmZQfeTLEOhQKUVtby4cffojf72fx4sXMmzcPs9k8aQ9inU6H0+lk9uzZnHzyyXzlK19hxowZSJLEnj17ePPNN/nwww+prq6mr68v5R6Rw4HB67OK12LRokWcddZZHH/88TgcDtrb2/nwww9566232Lp1K42NjXg8njF9tqPteyQKliAIGAwGzGYzdrtdzYUWBIFAIEBfXx99fX14PB4CgYBaOvVwJpnjT5+p9QCrVq2iurqal156iczMTH75y19y3nnnsWvXLgwGA++//z7XXXcd9957L1//+td54403uO2228Z8ns2bN/PTn/40ZtuyZcvYsGGD+ve7777L4sWLY/apra3lnHPO4d/+7d944oknaGtr4/rrr+f666+P6dd633338atf/Yrbb79dPZbX6+Xee+/lv/7rv8jNzSU/P59LL710xOsF4r4PYMmSJRw4cID6+vpx5fxJksT+/fuprq4mFApRXl4+Jkt6MKl0g0uSREtLC4FAgLa2NmbMmEF+fn7SH2oTEetIJML+/ftpbGwkIyNjSHDbZLT4HI7B67U+n0+1Gtva2giHw3zyySeq5Z3MymCJkA4P5ZE+F0EQyMrKIisrKybHu6Ojg6amJnXZITpmIF6qjvLbCoVCk1qMZ7ykusOdwWBQn3PDWd7RbnOlE9nhgtfrBZKzTp5WYq2I1vvvv8/JJ58M9Ef1lZWVsWHDBi655BIeeughzj33XH72s58BMGvWLD744ANefvnlMZ2rubl5SGBCQUFBTJWdhoaGIWJ9zz33cNlll/HjH/8YgJkzZ/Lggw+ydOlS1qxZo/5Av/KVr3DjjTeq73v33XcJhUI88sgjLFy4MOHrBYa8T0HJyW1oaBiTWCdbpBVSYVnLskxLS4taatJgMDBr1iy1XGA6oLjk6+vr1XXzwU0KIL2sJYvFQmlpKaWlpbS2trJ7926cTicdHR3U1NQgimLMerfFYkn5+Kf6/oxlEiWKIg6HA4fDwYwZM9Rlh87OThobG9mxYwcWiyWmQIvRaESn02E2m2lra1PdvoOJRCIEg0H8fn+yL3HMBINBJEma9LV6vV6vrnkrgZmSJMXkeaezeMuyjNfrpbW1NWkplmkl1rt370av18dE8eXm5jJ79my1pN3evXv5xje+EfO+JUuWjFmsE8Hn8w2ZHW/bto3t27fz5z//Wd2mrKG6XC7mzJkDMETkod+6ia5zm8j1xnufgjIzV2ZvoyFJEgcOHGDfvn2EQiF1TTpZa5fJtKxlWaatrQ2Xy0U4HKaqqorCwkI++eSTpBx/OMZiWUuSRHNzMy6XC71ez1FHHZWQO340UZhsK1PJp62srKSysjLGajx06BC7du3CbDbHrHcficFqE/F4KMsOStepUCikxgwoOd4ZGRlqJzG/368uZw1GkiSCwWBaVK8Lh8NIkpQWPcdlWcbv96PT6dRn7uB2oOkm3NnZ2Ulr25lWYj2ZFBYWqtG5Ci0tLTE31ul00tXVFbOP2+1m9erV3HDDDUOOWV5erv5/vApb47VOhntfZ2cnwKhWpiLS1dXVBIPBpIu0QjIsa1mW1QdcMBiksrKS4uJidWaf6iC2RI6vTCTq6uqQZZnp06dTUFAw6mebbg+S4RhsNYbDYVV4XC5XjPA4nU4cDseEv0tTHWCmjCFZGAyGuDneSk1zn89HVlaWGhSYmZmpWl9dXV3U1NRw/PHHJ20846W+vp5IJEJpaelUD4VIJMIHH3zAiSeeiF6vJxgM0tPTQ3d3Nz09Pfj9fux2O9nZ2TgcDrKzszEYDFP2vTIYDEktWpRWYj1nzhzC4TBbtmxR3cIdHR3s3buXuXPnAv31ZD/++OOY9w3+OxFOOukk3nzzTdWdDfD6669z0kknqX8fe+yx7Nq1K+Z9ixYtYteuXaO2e0uERK53JHbs2IHBYGDevHlxX1fcs7t371aFLxUirTARIZVlma6uLurq6vD5fFRUVMR1zac6iG2kaxhcGrSqqoqioqIxuwjTYX12LOj1evLy8tRJoSI87e3t7N69G5/PR3Z2tireWVlZh22KU6oe7PFyvJWYgT179hAIBMjOziY3N1e1HNPBeyHLslo7fKoJBoOEw2E1at9sNpOZmUlZWZlqdStFb/bu3YvP5yMzM5OcnBy11v5UivdESSuxnjlzJhdeeCHXXHMNjz32GBkZGdx0002UlJRw4YUXAvDDH/6Q008/nd///vdccMEFbNq0ib/97W9DPgClO4rb7aatrY2tW7diNBpVEfzRj37E0qVL+Y//+A+WL1/OM888wyeffMLjjz+uHmPZsmVcffXVRCIRVTR++ctfcuKJJ3L99ddz9dVXY7PZ2LVrF6+//npMJHmyrnck3n33XTUqPRpFpPft20cwGCQ7O1sVwFQyXje4ItIej4fy8nJKS0uHnVBMlWU9uDToeNb4E7G8D4cHyWDh8Xq9qnjv37+fSCSipjg5nc6EUpzSYQIzmdb94AI3yj3s6Oigvb1dDfiL7uM9Fd+NqVivHg7l2RJvPIIgYLFYYu6pz+dTxfvzzz/H7/eTlZWlirdSbvZw+M1Bmok1wJNPPsmPfvQjzj//fILBIKeffjqvvvqqGk13yimn8Oijj3LnnXdy6623smzZMn7yk58MEUqlOwrAp59+yrp166ioqKC+vh6Ak08+mXXr1nHrrbdyyy23MHPmTDZs2KDmWAOce+656PV63njjDbVX64IFC/jHP/7Bv/7rv3LaaaepbtBvf/vbKbnekXjmmWe444471L+jRToQCFBWVkZpaSldXV3qdaeSsVq9PT091NXV0dvbG1N2cyQmQ6yj6evro66uju7u7oTHOBrDjf9weWgMZnAParfbrVqNNTU16HQ6VbhzcnKGLaM51dc/Va54pfa2zWajrKyMpqYmampqcDqdal1zIKYhSapyvAcjy3JaiXWitSkEQRjyvVQyIDo7O9m2bRuBQICsrCw11kCpPTDV38PhOCK6bl1zzTXs2bOHd999N+nHfvjhh3nppZf4+9//nvRjT4S//e1v3HjjjWzfvh1RFOOKtCIq7e3t1NbWDlt+L1ns2rULi8VCVVXViPtFC2BpaSnl5eUJpzZs3bqV/Px8NRI+2SidxEpKSnC5XLS3t1NSUkJFRcWEg2zC4TDvvPMOp59++rCCr3RbmsyAnra2Nvbu3cupp56a9GMrwWrt7e10dnbS3d2tdsJSHpBGo1FdB092Nb6x0NTURENDAyeeeOKUjSHeOCRJiunj3dXVhV6vj0kTS1W0/ueff47FYknKst9EcbvdbN68ma9+9asTPpYkSap4K1H8ihcyNzdXtbzTKWgt7SzrRLjvvvv46le/is1m429/+xtPPfUUjzzySErOtXr1arq7u+nr60ur8nUej4c//elPNDc3s2/fPvx+/xCRVhBFcVKKXoxm9brdblwuFx0dHZSUlDBnzpwxi1KqLWulzeKhQ4coLCzkxBNPTIuo3MOV6GA1QA1WUyaQW7duJTMzk3A4jE6nIxwOT1lltXQIcos3DlEU1RzvadOmIUkS3d3ddHZ2qtH60aVlc3JykvadTSc3eCQSSdpYRFFUvRnl5eVIkqQuRSjpd+FwOK54TxWHpVh/9NFH/Pa3v6Wvr49p06bx4IMPcvXVV6fkXHq9nn/9139NybHHiyRJnHjiiezbt4/t27cPK9IKkyXWw53H4/GoVmpxcfGEamOnqvBKMBikvr6epqYmzGYzS5YsSXrXo+iiKF9WBgerBQIBtQtWc3MzBw8eVB+Qubm5kxqsli6fi+LuHQ5RFNWYACVaX+nj3dDQwPbt27HZbDFu8/F6atJJrCVJSplYiqKo1tpXxNvj8aji3dDQEFMrXvEKTaZ4H5Zi/dxzz031EKYESZI4dOiQakmXlpZSVlY2qiUyWWVAB1u9SgOL1tbWpFmpybasQ6EQjY2NHDhwAIfDQVFREbIsp0V7wi8DJpOJoqIimpubycrKorCwUHX3NjQ0IElSjLs3lWu16WRZj0Ug9Xr9sDneNTU1uN1uMjIyYvp4J+q9SJd7ApM7cRBFUW0GojTKUWrFd3Z24nK5KCwsZNGiRZMyHjhMxfrLhiRJNDU1sW/fPnw+X8IirTAZ3bDgC8va7/dTX19Pc3Mz+fn5nHDCCUkrrZgssR6uNKjL5UpZ5SjNsh4ZURTVoCAlHUdZq21vb2ffvn0YDIYha7XJJB2EaaICOTjHW/FeKGliSkqTcg9HqrCVbpb1VI0lWryVwkGT/TvWxDqNiSfSpaWlY64zO1lu8Oj1XqfTyfHHHx+3OMxEmKhYK96J+vp6zGZz3NKgUymmbrdbrRglyzKRtjZ0ubkIU7hWNlUIgkBmZiaZmZlqPW7F3XvgwAF27typlvScqLsX0seKHM0NPlYU70VRURGAmtLU0dHB9u3bCQaDOBwOdRIUvfSQTmIdnUI71SgV0yYTTazTkGiR9nq96pr0eIvBp9oNHgwG1VaQRqORxYsXY7fbU3Ku8Yq10gjE5XKh0+mYPXt23NKgk9HmM97x+/r6qK2tpbu7G1mWsXu95NbXYw0EyZw1i8zl5yGmQWGKVJHIPY9eq505cybhcFgVHcXdG20xOhyOMT1Q00WsU50uNTgf2ev1qu5dZelBWZsNBoNpcU8gvSYOU4Em1mmEUmt63759eDweSktLWbhw4YQ7tihineyHUfR6b3Z2NsXFxYTD4ZQJNYxdTKNLg0qSxLRp00YsDZpKsY53Tq/XS11dHe3t7ZSWljItJwc++wxfQyNeUaQdmaYtWzDt2oXt/OXklpeTnZ19RD60xvrd1Ov1Me5epYJVR0cHO3bsiEnFUSzG0Wqyp4MwTeY4onO8y8vLh+TJu91udu7cSUtLi2p522y2L32BFpj8JRNNrNOAeCK9YMGCpLRVgy++VMmKpgyHw+p6b2Zmprre29jYSG9v74SPPxKJegmU0qB1dXUEAoGES4NOlmUdCATU6POCggKWzJsHW7fi21eNISuLrKpKlOaaoVAYd3sbnr++zOfz5hIcqMs9GUFXk0Uy7rnZbKa4uJji4uIYi7Gjo4P6+npkWY65b4NF58so1oMRBCFmbfa9996jpKQESZJobW1l7969MXEDIxW5STbpJtaTjSbWU0iqRVohev1pImIdHZRls9lYsGCBmj8LkyN0iZxDKQ3q8XjUeuiJXncqH5LKsRsaGmhubiYnJ4fF8+aj27uH4DvvIpjN6PLyEAcFDhoMehxFRWTn5lLY3ALTp9OTmRkTdKWkk+Tm5qZFHefxkMx7H89i7O3tpaOjI0Z0otuApkvgXzqJkizLZGRk4HQ6mT59ety4AbPZHCPeqapLkE5r1lOBJtZTgLJ+umvXLrxeL+Xl5SkRaQXlhz/eh1EkEuHgwYM0NDSo/ZodDkfc9d5UB7KNJNbRldHKysrGVRo0VRMO5R4q41w4dy7m+nqCG14kotOjG8g7lsLh4cdmNKLLzSHy7nsUnngClccdpzZAUazH7du3Y7fbVeFORkesIwFBEGIKiyjBkB0dHTQ2NvL5559jNBrR6/WqyzdVv8fRSBcLH4ZOHOLFDSgVwJTvn81mi0kTS1Y1vnSaxEwF2q94EpFlWbWklWAYvV6f8hKL0W7wsRAdOW00GpkzZw65ubnDPkgmI5873oQguujKeCujRZPMa1A+87q6uv6HfyTCDFlGeOmvBJERcnIRx/BgFnQ6dAX5+D7+mEhXN7Yzz1Atw1mzZsV0xNq1axd+vz+mkMNUNYQYjcm2anU6nXrfoD/+Yvfu3XR3d6uBnYmmNyWbdBPrkcYyuMhNKBSKG/SnWN4TmTymm1hra9ZHIINFuqSkhKOPPpr29naamppSfn6lm1OiYq24510uF3q9nlmzZpGXl5dQ16jJtKz9fj8ul0vtQ55ORVdkWaa9vZ26ujoikQjTqqrIcbvZ/cqrhAvyMeUXIIzw4InIUOMX+bBPz3G2CPNtkZgx6vPyCNbVIfX2YD/vPMSBfOPojliD121dLheCIKh1uXNzc9Oq+MtUCpTBYFDTDBcsWBDTwnL79u2EQiF10pPqLljJTt2aCGONTDcYDBQUFFBQUAD053grkebK5DErK0u1vMcyCUo3sZ5sNLFOIdEi3dfXR2lpKfPnz1etvsnKf070XMp46+vrEQSB6dOnjxg5PZjJWrMOhULs27ePQ4cOkZeXl9TSoMm4huh2mlWVleRFIgT/8Q/8fW4kowExJ2dYoZZlaAyIbPYa8UgC2XqZ9/v0dEQETskIo4/6KPS5OUR6euh97nkyLvw6uuzsIdcyuP6xsm6r1JS2WCxYrVbC4TChUGhKXb9TTbRFO7iFpVK9qqOjg7q6OnXSo4i31WpNmsAqPaTTgYkKpMlkUoP+gJj628okSInYz8nJGbG8rLZmrZF0ZFmmtbWVPXv2xBVphckW6+EeiMp4XS4XkiRRVVVFQUHBmH+kqb4epYxib28vubm5KcnnnohYu91uNVe6vLyc+UVFhDZ/iL+9HTErC53TCV2dw76/JSjyTq+FbklPjhGchv5x5Bllqn06OkMCy7JDWKOeV7rMTCSfj95nn8N+/nIMJSXDHl8URbKzs8nOzmb69OlqnvKBAwcIBoO8+eabqtXjdDonPUVsqq3J4dzPgiCodaOV0pPKpKe5uZndu3fHNNKYaJBfurnBk/kdGNy2Uqm/rcRcKOVllYlQRkZGzDLeVE0m0wFNrJOIInp79+6lt7eXkpIS5s2bN+wPdzLFOp6LWnHVulwuQqEQlZWVCaU3jXSOVAVnKVHoer2e7OxsFixYkPTzjJfoGujFxcXMLiwk8vEn+A8cQMjMVIPHFAbfou6wwAduAweDOmxCmDxDBFGMtSByDDK9EZHnO0wsdwRVIQcQLRZkvZ6+DRuwfeUrmObMSWjcSp6yIAh4PB6OP/54tbTn1q1biUQiR1yK2EgkKpKDJz2RSCRukF90ZbWxrNMeyWIdTfQkSInYV8rLdnZ2UlNTowa05ebmEggE0qoDnrZmfRgST6Tnzp076ux6qtzgg3OQKyoqKC4unrCLKdkBZtEBbiaTifnz59PX10dfX1/SzjGYsUw4lMptBw8eJD8/n+PnzUP4/HMCb72FYLWhGyjWEXN8vviBeyICH3n01AT0WAWZPIPESF+HDJ1MQIK/dBo5KyvEDPMXOwsGA7q8PDxvbiLS1YXlxBNHXBMffM0w1PXrdrtpb2+PmyKW7BSddHODjwWdThfTSEMJ8ouuxa14LJRgtZEEMF3WZpXnxWQWaBlcXranp4fOzk6am5vp7Oykq6sLr9erCniya8OnM5pYT4DxirTCVIi1ItI+n4+Kioox5SCPRrICzJS183ilQT0eT0of7ImIdXRRmOzsbI6bPx/9vn0E33u/P70qb6hIRxOQZLa69Xzu02MUIE+f+D0ziZAjyLzRbaTDFuJ4ewRx4FkqiCK6gnz82z9H6u7B9tWzEcbpNowujqE8OIezHp1OZ1JSxKbamkzW9yo6yA/6PS/Kevf+/fuJRCIxwWrRrl5lHFN9L5RxAFM2cYjuhT59+nQ++eQTbDYber0+Jsdb8V4czjUGEkET63GglLDcu3cvPT09FBcXj0mkFSZTrGVZpqamhkAgQHl5+Yj9r8fLRC3rREqDpjqIbaTjK5a+y+XCYrGwYM4cLAcOENywgaAgIo6Q1gYQlqFatvF2jx29Tk+uTmY8z2SdAHkGiW1ePe1hkbOzQpjEL8avd+YSOniQ3vXrybjgAsQkBN+JopjSFLHD2bIeDYvFojbhGVzOU3H1Di7Okg5irTyb0sHKhy8KtJSWlsbkeA+eQEYXaDmS1rg1sR4D8UR6zpw5457NTYZY9/b2qpZ0Xl4eixYtStkXeLyW9VhKg06GWMcbX0tLC3V1df2W/syZZHV0EHjlFYIRCcGRM2KutCRDbUDHh24DzXI25YKEST+xaxCE/gC0tpDIXzqMLHeEyIo6ps6RjdTXR++zz5Lx9QvR5eaMcLSxM9h69Hq9tLe3TyhFLB0EKtVjGFzOU3H1RkfoC4KAz+dTK4NNlbWYbmI9eHlgcI63MoHs7OxUq0IqufI5OTlJLxCkrVmnIckWaQVFrFMxk+7r68PlctHV1UVJSQmhUIi8vLyUzjTHY1l3d3dTV1eH2+2moqKC0tLSEd3yqc7ljp4MKJOI2tpaQqEQVZWV5Pp8BF5/Hb/fj5jtGLV15f6AyAduI24JsnQyWUJIdVsng0y9jE+C5zuMnJMdotT0xb0RMzKQAgF6nnsO+3nnYqyoSN6JB2G1WikvL1cDhQYLkNlsVoU7Nzc3LS2eVHe7ike0q3fGjBmEw2E+/vhj9Ho9dXV1bNu2jYyMjJhOYpNVkW6y16xHY7S1/METyOjGLjt37iQQCJCdna1a3odbQxxNrEdAiZbeu3cvXV1dFBcXc9RRRyUtsEYRpWSKtcfjoa6ujo6ODkpKSjjqqKMwGo3885//nNJSoIMZXBp0wYIFCT2EJqvRRk9PD7W1tbjdbiorK8mXZULvvoe/pwfR4UC0jZwy1hYSeM9tpD0skiVK5Kbwl2YRwSDI/LXLwEkZYRZaI6p7XTSZEBw63H99Gcvpp2GZhCh6QRDipogpbt+tW7cOSRE7kt3gY0Gv16uFRcrKyggGg6rLXFluGNxJLFWCo9yPqb4nCmPNs45u7AJf5Hgrdc2VQjeKeGdmZiZ8L6finmhiHYd4Ij179uykpw0ks8G71+vF5XLR1tZGUVERJ510UozlP1WlQOONU2kJOZ7SoKkW60AggN/vZ+vWrZSWljKvqIjQhx8SaG1FzMoekoY1mJ6wwGa3gf0hkQxRHhI8lqqfuF6AfIPMFree9pDIGVkhtYCKoNf3lyh99z2kri6sp546qkcgqWOL08pSEaBt27YRDocRBIH29nYyMjKmLEUsHcQaYiuYGY1GioqKKCoqAoipSNfY2JjS9Lp0iUpXmOh44uV4K2liLpdrSFe2dEtV1MQ6imh3d3d3d8pEWiFarMeLz+ejvr6elpYWCgoKOOGEE+KmM0xGKdCRJgTJKg2aKrFWxtfc3Iwoiiw56iikTz/Dv78RwZ4xaoS3JwKfeg3s9euxCDJ5I65Jp6pfNuQZZBoDIi92Gjk3O4hdp7wmoC/IJ7h7N5HubuznnIM4RWuh8VLEPv30U/r6+ti8efOQbliTlVubDtY9jOyOVwSnrKwsJr2uo6OD6upqdDqdGisw0faVR5pYRzO40I3SlU0JmqyurlYD/xQBT2aVuvGgiTVDLWlJkjj55JNT/pAYb4MN6BeXhoYGmpqayM/PH7Xk5mQEsylCGm2hROciJ6M0aLLFOhQK0dDQwIEDB3A6nRxVUUHza68R3LMXwWJJIA0Ltvv0bPfq0ZNAGtYk/NizDTLuCP0FVLKD5BujAs+cTiLt7fS+8AIZF1yALjMz5eMZCSXgymQyUVVVRX5+vhrhq3TDSnaK2HCki2Wd6Djipdf19PTQ3t6upjZZLJYY8R6LF+tIFuvBRHdli76X0VXqjEZjzCQyWd3EEuVLLdayLNPR0cHevXvp7OykqKiIY445hs8++2xSIjAFQRiziAYCARoaGjh06BBOp5Pjjz9ebUAwEpMh1tGtOJVc5P379+NwOJJWGjRZ7vzoqmiZmZkcO3cuxro6eje9hb6rE93RI6/thmXY49PxsdcIyOSMIQ1rMgw4uw6CksyLnUaWZoY4yvrFZ6/LykLyePpLlH79AkijesvRaUzApHcRSwexHm8jj+hgNSW1KV4HrOj2lSOtAadTQxGY3Nrg0fdSOXd0S9VDhw5x6qmnTspYFL6UYh1PpBW3bDAYVPeZjC9qoiIaDAZpbGzkwIED5OTkcNxxx5GRkZHweSaryQZAQ0MD+/fvx263c8wxx5CVlZXUc0zkOiRJoqmpCZfLhclkYt7s2dibmgj89WVCyAg5OUgB//Dvl6EuoGOz20BQFnDopDFFdwsjrFoHgwH63G4AzCYzJrMJo8EwbmvcKEKuQeatXgMd4TAnZkTQKYFnNhuyIUjfX9YTWXL8uI6fTIb7TBNNEVPEeyJem3SyrJNhQQ6OFYjugBUdHa1Y3YOD1aYiOn4kptLSH9xSVQswSzEjibSC8mWIRCKT8sUYTaxDoZBqoWZnZ7No0SIyx+G6TLVlrYggQFtbG/Pnz8fhcCT9Sz1esY4uuAIwc/p0sru7Cbz6NwLhMILDgSCKCD7fsJbvgYDI+24DfZJAtk4mQxjvpCH2feFwiL4+N6FQCIvVgl6nG+gL3F+tzWQyYTaZMJlM6MboAhYFKDDK7PLp6QiLfC07hFkpoGI0osvNwfvWWxhzncinnjqlYpXIuYdLEWtqamL37t0TShFLJ7FOxTiiO2DJsozP56O9vZ3Ozk7q6+uRZTmmstpkPQMTQUlxTZfxaGKdIpR82T179qgiPVwgVjKCvsaCKIpEIpEh26PdyBkZGRO2UFMl1tGlQZV7t3DhwpQtI4xHrJVc6UAgQGVlJXmBAME3N+H3ehEdsbnS/b/B2OO3hwTedxtpHUjDck6woImCJEXo63Pj9/uxWq3q5yuKAja7HWQIhYIEgkF8Pj89Pb3odDpMA8JtMhkTrv+da5DpDIu8MFBAxTFwDYJOh+B0Ytq7F88bb2I78wyEScrjnSjxUsS6urpob28fNkVspId9uoj1ZLifBUEYMvFRmmgoteBFUUQQBA4cODDldbjTrUDLVHB4/CrHiVK7u7a2lo6ODgoLC4cVaQXlCxpPQFPBYBGNRCIcOHCAxsZGrFYrRx99tLpuMtHzhMPhCR9HYXBpUKWt5ttvvz3ltbsV+vr6qKmpoa+vj/Lycop0OoIffIC/u7s/DWug8cLQ4/f/f09EYIvbQGNQxBYnDWu8SJJMn7sPr8eLyWzC6cxFp9MPvBZ1DgEMRiMGoxG73Y4syQSDAfyBAL29vUQiEQwGQ79wm00YDcYRc8My9TL+gQIqX8sKUWn+ouhFJCubkKuOvt4e7OedhzjJD+ZkCOXgilbxUsQcDodqeQ9OzTkcosFTRbwmGrW1tRw4cCAmWC06wGoyC9sov4t06WetWdZJZN26dTz66KPo9XruvffeUUU6mqlosBGJRDh06BANDQ2YTCbmzp1LTk5O0r4UyWyyEV0atLKykuLiYvXhMhnlQMeSy11aWsqcoiLCW7bgb25BzMxE5xwpV1rAL4u829efhmUS5KRZ0jIykizR09uD0WAgNzcHvT7xB54gCpjMZkxmM2T1T+wC/gD+gB9PhwcEMBlNqnjHe7CZRdALMn/rNrLEHmKR7YtJqS4nh0hPD73PPU/GhV9Hl52djMueMkbqIlZdXY1er0/LmtzpMA5RFLHZbFitVk444QS1l3x0YRslWE2prJZKIdUs6yNQrLdv386dd97J+vXrOe+887jnnnuoqqoa0zF0Ot2k9pmObkEY3WEqmSRjAhJd1Wu40qCTWQ50MIFAgPr6epqamigoKGDJ3LnI//wnAVc9gt0+akGToAT/9Bl5Ry6kwK/DmSRLGmT8fj99bjeyJGOz27DbbEy0RIpOp8Nqs2K1WUGGYChIwB/A6/XS09PT7zI39693G40mhIFIuP4CKhKfuPsbgSyJ+gh1mZlIPl9/pPj5yzGUlExojIkyGcGPw3URU1LEdDodkUgEq9U6qWU9B5MOYg2xAV0Gg2FIYRsl0nzHjh0Eg8EhldWSeQ3K0kA63Jep4ogR676+Pq688kpeeeUVrr76arKysrj11lvHLNQw/DpyMpEkiebmZjweD4FAgFmzZpGXl5eyL+NExHospUFTXSktnliHw2E1VzonJ4fF8+aj272L4DvvIpjNcftKx7xfhmq/ji0eI6FwmEypJ6YpxkQIBgP09fUhSRJ2ewYejweD3kDSa5kJ/ZHTRqORDDKQJYlAIEggEKCnp99lbjQaMZlNmIxGDAYjeUaZg0GRv4ZsLJC/UGzRYkHW6+nbsAHbV76Cac6c5I51uEuYxAdxvBSxjz/+GFmWY8p6Ki7zZIvPSKRLfvNI44gu5SnLckxlNZfLBRBTDcxms03o/qVTsNtUccSItd1uZ/HixTzwwAOUlpby4osv4vV6x3WsVFrWSgcn5QttsVgoKSlRZ6ypYjwiOp7SoJPZwjISiXDw4EHq6+ux2+0snDsXs6uewIYXiegNo1rSsgz1A402fANpWLJeoiMJz+RwOExfXx+hUKjfnWizIiDg9XpIVQWzaARRxGwxY7b0ZzpEwuH+UqqB/smDIAhqhLlXEnkt4iQ/IFBsGgg8M/TfP8+bm4h0d2M54YSEg9kOR5SJTlFREaWlpSlNERuNdLSsR0IQBGw2GzabTQ1W6+3tpaOjg9bWVvbu3TvhqnSSJKXNejUc5mvWDz/8ML/73e9obm5m4cKFPPTQQyxZsmTY/Z9//nluu+026uvrmTlzJvfeey/nnXfeuM8vCAI33XST+rfVasXn843rWKlYs1YCslwuF5FIhMrKSgoLC9mxY8ekBLaMxT09kdKgk+EGj+4rbTAYmDt7NvbmZgIv/ZUgMmLOyH2lAQ4F+9OwuiMCDp2MbSANa6L+lHgR3jEPvCl6COv0eqx6PVabDWSZYChEwB/A4/EQCoUwySL/uz/I6Q6J4xxGRFFAEEV0Bfn4t21H6urG9tWzEVIUVJQOwV3RIpnKFLGxjGMqGe84oquBTZs2bUhBkc8//xybzabeu0T6TqeLt2EqSYpYP/vss/z0pz/l0Ucf5YQTTuCBBx5g2bJl7N27N67F+MEHH3DppZdyzz33cP7557Nu3TouuugiPvvsM+bPn5+MIWGxWMZtWSfTDa6UMnW5XASDwSEBWZMVzJbIeaJLgzqdznGVBk2lG1yWZbq7u5Flmfr6eqZVVZHT10dg40YCwVB/GtYoP+jOcH8aVnNIJFOUhtTw7n84jX38kiTh8XriRngPvY6Rj5Vy2RKEGJe53+enu6cbmxDitRaJvU2dnGQLkpXRXzvZlJtL6OBBetevJ+OCCxBTZFVOtUANJ05jSRFTgq0mIizpIkzJGsfggiL9NQT617v37duH1+uNCVbLzs4eYkWnyz2ZSpIi1r///e+55ppruPLKKwF49NFHeeWVV3jiiSdirF2FP/zhD5xzzjn8/Oc/B+Cuu+7i9ddf549//COPPvpoMoaE1WqdUjd4dNS03+9XRXrwlzAdxDocDtPY2KgWXhlrdbRoUmVZd3d3U1tb2/+ZyjKLiooIvf02frcbMduBmDHyV7kvIrDFracuoMeuk0ZIw1Ie1jKJrCvLyHg93v61aIN+zBHe6YAoCoiCSI4jmxwZ2gJZfBD2cby7lda2VnSiiM1mx+b1Evrzn3FcvAJdbk5Sx5AulnUijJQitn379lFTxBIZx1RPXCB1Aqm0AC0oKACG3j+ldaUi3pmZmZNaajRdmbBYB4NBPv30U26++WZ1myiKnH322WzevDnuezZv3sxPf/rTmG3Lli1jw4YNEx2OykTd4BOxrLu6uqirq8Pj8QwbNa0wWZHn8SxeJae7oaEhaaVBk21Zu91uamtr6e7upry8nFk5Oexbtw5/TQ26bMcoaVjgk+Azj4FdPj1mUSbfkNi9Hl2qv4jwFgWBrOwsTEbjqO9KewTIM+voi2SwRc7gvOIA1pCHPrebTreHprZWLP9xH+avfQ3nQA2AZHZCmkrGK5LxUsSU4iLxUsRGWlJSfjtTfS9g8qzZwfdPaV3Z0dFBXV2dWsAlFArh8XimvPsVHKZr1u3t7UQiEXWWpFBQUMCePXvivqe5uTnu/s3NzRMdjspELOvxWrs9PT3U1dXR19dHWVkZCxcuHDX9Y7Is62iLV1nzra+vx2QyJbU0aLICzHw+Hy6Xi9bWVkpKSphdWEj4o48I7j+AEA6jc44cOR+SYYdXzz+9ekTAqZeStlw8OMLbYjGTqEj37zX1VuRoZOhkAhKs7zJxVpbIjAIbFAwEzvX04t20id0uF77S0pjAq4lG/U41Ex17dIpYZWVl3BSxkbqIKb+ddHD5TkUjj8GtKyVJore3F5fLhcfj4b333sNkMsVMfiaj6VI6cMREgw9mIpa1km+ZKMqXqbu7m9LSUubPn59wwEmyK4uNdJ5IJKI2sdDpdCnJ6Z6oGzwYDFJfX8+hQ4fIz8/n+LlzEbZtI1BXh2Drz5WWe7oZzvaNqGlYBsKyQI5unCIty0OCwYaL8D5SMYmQI8i80W2kwxbieHsEvV6PIzeH7BwH+a2tyJEIvVlZtLW1sW/fPoxGI06nc8wtGdPFDZ6K+gbxuoh1dHTETRFTOuilw4RHluUpdz2Lokh2djZ5eXmEw2EWLVqkTn7q6+vZvn27OvlRgtWmKj8+1Uz4qpxOJzqdjpaWlpjtSiRxPAoLC8e0/3iYDMva7XZTV1dHZ2dnf6WsBFKb4p0r1TndSipFIBDA5XJRVVVFYWFhSh4I43WDK7XQGxsb+9fN581Dv3cfwffeQzCa1L7SkhQZ+K8c09lRlqE+KLLZbcQbAYdeRjeORhvxbsmoEd5jO8OktMhMFjoB8gwS27z9jUDOygphEvvFxFBQQKS+nrxgkMply5D1+pjAK7fbTVZWlireo923qRaoyVgrHq2LmMLBgwfJz89PaYrYaEiSNKklRUdCWbPW6XTq9wliJz979uzB5/PFBPuNVg/+cGLCYm00GjnuuON48803ueiii4D+D/nNN9/k+uuvj/uek046iTfffJMf//jH6rbXX3+dk046aaLDUZmoZT2SWHs8HlwuF+3t7RQXF3PSSSeN2xWTSje4LMt0dXVRW1uL3+9HFEVOPPHElH55x2pZS5Kk5kpbrVYWzJmDZf9+ghs2ENTpEXNjLf8v/v8LxWsOirznNtAVFsnWSziT8HyRZZDlxCO8j2QEAZwGmZaQyF8GGoEoRWN0TifhtjZ6X/gLmV+/IOZB6vf7VSH67LPPkGWZnJwcdZ9oITpSLevRGJwi1tHRwSeffEJLSwt79+7FbDarLvOxeCqSQTpFYA83lsGTH5/Pp65379+/n0gkEhOslpGRkbTlvskmKU+en/70p6xcuZLFixezZMkSHnjgATwejxodfsUVV1BSUsI999wDwI9+9COWLl3Kf/zHf7B8+XKeeeYZPvnkEx5//PFkDAcAm81GT0/PuN4riiKhUGjIdq/XS319Pa2trWPOPx7pXKkQ68GlQbOysti+fXvKf3yJWtZKcZi6ujp0Oh1HzZpFZlsbgVdeIRiJIOTkIsb9QQys+srQFRb4wG3kUFAkUyeRl2Dw2IgMnNPr8+L1eJMe4R2vq9fhQpZexhuBFzqMLMsOUWoaaK6QlYXk8dDz7LPYL7gAw0A8itlsprS0lNLSUtW7097eTnNzM7t371YbQzidzrSIgJ7qCYOyXguwZMkSIpFIXE9FslLERuNwEOvBWCyWmO+cEuyn1DSPXpbIzc2dUs/FWEmKWH/729+mra2NX/3qVzQ3N3PMMcewceNGNYissbEx5kaffPLJrFu3jltvvZVbbrmFmTNnsmHDhqTlWEP/jHW8AWuDBdTn81FfX09LSwsFBQVjagoy1nNNlOjo6bKyMo4++mgMBgMej2fSA9nioaS01dbWEgqFqKqsJNfrJfD3v+P3BxBzckbMlRYE8Mo63u4z4gqZsIpyckS6f3T4fX4A/D7/kRPhnUSsOjCKMi93GTgpI8wCawRBANFmQw4G6fvLX7B97WuYZsyIeV90oQwlV7mzs1Otix8IBNi1axcFBQWqy3yyxTudJgyCIKQ8RSyRsUz1/VAYz8QhXrCfUtzm0KFD7Nq1S/VcKOvd6RysljSf3vXXXz+s2/vtt98esu2SSy7hkksuSdbph2Cz2SbsBo9uDJGXlzeuIiGjkSyx9nq9uFwu2tra4pYGTXXN7kTOo1j7SkpbviThf/553G3tGBcuRLSPnNvtl2Cr18g/5GLygyJ5xuRNPoLBAH1uN9JA/EBOjgNRTEVwjXCY2tVfoBcgzyDzoVtPe0hkaVYIvQCC0YguNxfPxr8jndiN+bjjhn3Y6/X6mMYQmzZtwul00tfXR319PYIgqFb3ZPZSnmpxGkkgk5kilgjpZFknI89aFEUcDgcOh4MZM2aoxW2UFLFt27aRkZER47lIp2C19BlJkpnImrWSLrB582Zyc3NZvHix6p5KNhMVa7/fT319vZoON5xrXhHRVM+W46VueTweamtr6erqoqysjHmFRYQ2bybQ3o4uL49wUzPBHZ9jWLAw7sMhJMMun45PPQZEIIsQGbrkSF68CO/WlpYpd4mmO8KAYNcHRDo7jZybHcSuA0GnQ1eQj++jj4h0dWM78wyEBB54giBQUFBAdna2Wt6zvb1d7aVstVrVte5UPUTTwZIcSz3uwVZjd3c37e3tCaWIJXMsk0EqaoMP9lwEg0HVcxEdqR/dSWwq78cRLdZjjQYPhUI0NjbS2NiITqebUCWvRBmvWI+1NKjyEEp1QfxoN3h0jfGioiKWHHUU0qef4t9/IKZlpWnJ8QR37CTw4YeYFi9GHPAISDLUBHRscRsIyQLZOglRgJYk/F5GjvCemge2LEt4PB5kWcJstmAyfdHWMl1xGGTcEXi+w8Ty7CD5xn7B0+fnE3LV0dfbg/288xDHYBlHl/ecMWOGWp6yvb1dfYgq7l+n05m0oKF0EOvxjkEURXJycsjJ6a8sFwqF4grPWLqIpZtYpzoyXWnkUlRUBBDTSayxsZFIJKLWFJg1a1ZKxxKPI1qsE7Wso8ttZmVlUVVVRVtbW8qFGsYu1uMtDar86FIt1kreeE1NDQcOHMDpdHL8vHkIn+8g+PbbCFbbkG5YgiBiOvpogrW1BD78EONxizmot/OB24hbAocuNg1LQBh3jFaiNbxTZVfHez7KyPh8PtxuNzqdDoPeQG+v0tbSgGmgO5bBYEzL5XO7DoKSzPpOI2dmhpht7f8+C9nZ+D/fgX/nLnJ/eD06h2PYY4wkUoPLUyoVrtrb26mtrVVrTytCNF737+Es1oMxGAzDpojV19cjy7JqMQ7XRSzdxHqyx2K1WrFarZSVlSHLMn19fXR0dKhd6yabI1qsR7Osw+EwBw4coLGxsb/F4sKFZGdn09HRMSQPPFUkKtaDS4MqYx3LeSC1Ea+RSAS3243b7cbhcLBo3jwMNTUEP9g80HJx5DagxunTOWTK4J0dbfQUWcmxyzjjfUPHEVE9uIZ3Ip1+Uob6GcgEAkH6+voAyMrMxGAw9He7GijME/AH8Af8uN0eEMBsMqviLerS40EKYBT707ve6jPQHg6z2NdEeM8eRKsV44zp9DzzLPZzzsFYVTnhc0W3Y1Tcv4MrhEW7zBOdnKaDWKdKlIbrIqZE5sdLEZNlOW3EeqprgwuCQGZmJpmZmVP2HTmixXo4y1rpg9zQ0IDFYhlSbnMyCpUojCbWg0uDzps3j5ycnDF/YaLd4MlGkiS1Mposy+Q5HMyUZQIvvURIEBBzR29Z2R0W2Ow2sN9Ygb3EQ86BesSCAhhmQpL4nGMcNbzH13grQfrPGw6H+tfKw2HsdjsWiwWB2Eh6nU6H1WbFarPGtLV0e9x0d3ehNxhU8TYaDVPWflNBFCAv4md7dQeHgl7OnXc0Fme/NS2Hw7hfeRnLiSfGDTwb7yQy2v07c+bMmHXHHTt2EAwGY8qhjhQxnQ5xCpMxYRiti5iSIqZ4e5xO55SLdjpZ+VPFES3Wgy1rpQBHQ0MDJpOJOXPmkBtHSCarXvdI55JlmebmZlwuF6IoMmvWLPLyRq6HPRKCICS9I5Ysy7S2tqrF9mdOn07vtu3otmwhkJ2NkD16y8quMPzTY6AuqMciDDTaMFiQp1URrm9ADgXRD7LIE62vHR3hPZYa3qksISrLMj6/n74+N1ablezsbARBHLxTnEHFtrWUIhECgSCBQIDOrk6QwWgy9ou32TTpVogciRBubkbqc5Obn4cns4QNssz54RDZehlBr0dXUIDvo4+JtLbF7Y2dDJGKXndUmkIo7t+amhr0er3qLnc6nUOKjEy1ZT0V1v1wKWK7du3C5XJRW1urFhYZbcKTKjSxPsLFWrGsFcuvvr4evV4/ak3syeqEBUPFWul/XVdXRyQSSWpp0GROQpRc6UAgQGVlJXmBAME3N+E9eADJbkfMyR3x/X4Jtnv1fOA24gqILLaGsEXpi2Awop9WRbihgXAwiK645It7IIxcsnPCNbxTULhEliXcHg/BYGBAMCZWDU3U6bBYLVisFpAhFOoXbp/PS09PDzqdDpPZhNlkxmg0pixQTZZkIh3tRNo70DmyMc6ciaATyUTGL8FzHUZOzwhxlFUaCDzLI3TwAD3Pv0DG+cvRZWamZFwQ2xQiuqlGe3u7Wlc6MzNTFe+paFwxmHQYg5IiVl1dzYIFCzAYDDGFRZKdIpYI6STWmhs8yVitVjweD4888gihUIgTTjiBGTNmkJ+fP+rNngo3uLL2Fi2AxcXFSf2CJiPXure3l9raWvr6+qioqKBQFAl+8AH+7m7ErGwEhwM5PPy9C8uw26fjE48RkKkwRjALMp96DcyxRCiIKnAi6PToq6YROXCAcEM9+vIKBFEcEN6h15HMGt7J8ohGB4/pdboB69iU3LKlAhiMRgxGI/aMDGRJUq3u7p5upIiEyWQcWOs296fwJOF5I/X2EmpqRjSZME6fhjDISvVEYI9XpCFg4kJHkMX2CKIAOocDyeOh99lnsZ93HoaBvOFUPwQHN9UIBAJqoNr27duJRCLs2rWLwsJCtanGVBRmSRdRUhp5pDpFLBGmes06HTgixVqSJF577TUCgQAPPPAAt99+O0uWLEn4R6DT6SYlJ1k5F8DWrVvV0qAj9b+eCBNxg3u9Xurq6mhvb+9vWlJURHjLFvzNLYiZmV/0lR6mRaYkQ21Ax4eD0rAACo0SNlHmn149HgmmmaIEWxDQl5URbmkhXFeLvqISiJXqRCO8J5ehwWMmk4nucZbAHQuCKGK2mDFbzGTJWYTDYQIBP4FAgN7ePkSdiMlkGljvHnutadnvJ3TwEEgShtISxIFOUQp+CXZ7dbgjAnMsYXINsM2rpzkk8rXsEGZxoOKZ0Ujfhg1YTj89WZc+JkwmE8XFxRQXFyPLMq+99hrZ2dm0trayd+/emA5iubm5kxKQmA5BbgrxrPyRUsR2796Nz+cbc4pYomNJl0nMVDHVT7SkIssyL774IrfffjtdXV0AamGTsaB8KSKRSEor2LjdbmpqagDIzMxUS4OmivG4waOruBUWFrJk7lz451YCLldMrrR6DkFAHmT17g+IfOA20idBtk4mI043rAy9zIkZIT7zGHBHBOabI0T/NvUFBUQMBsID50VOXYT3RHtOxwSP2WxYrFPYSlMAvUGP3mDHZrcjSzLBYBB/wK+mh+n1OiRZIhQMjpgeJofDhJuakTwe9Pl56AYe2AqSBPv8IoeCIpUmiWOsEZTl+FyDTGdY5NkOE+dmDeRjGwzo8vLwvfMulkAA+bjjUnwzhkcRlLKyMqxWK5FIRO3mVFNTw7Zt21SXeSIdxMZLOrjBFRIRyHgpYoq3ItEUsWSN5UjniBLr/fv385Of/ISf//znXHHFFWRlZY3LkozOSU4F0aVBi4uL6ezspLy8POUz97GItVIgZv/+/f1V3ObNR7d7F8F33kEwmdHlD5eGJSBL/ULXFhJ4z22kPSySJUrx07CiMAqwxBZih0/Px149x1rDGKN+n7qcHASjEX1tDUFBoNegRyDBCO+xMMqa+HBIkkRfX1+/G95mJStraHu+qe5/LYgCJrMJk9kEWf0TUo/bjcfrpaOjc1B6mBFRp+tfl25rI9LZ2b8uPWvWkDXwA36RmoBIrl7itMwwhjjP1Uy9TFCC9Z1GTssMMc8qIYgi+oJ8jB99hP+VV7BffDHiFDVXiPYI6XS6IUFXgzuIJUOE4o0hXURpPAI5ODd5cPOW8XYRi0QiaXNftDXrJFBeXq52cVK+9OPpaZ0qsY5XGtRkMnHgwIFJWSNPZM1aSWurr6/Hbrdz7Pz5mOpcBDdsIKLXf+HuHvYcAn2SyMZuI/tDInZRJk+f+H0UBVhgDVPnF/nQY+BYS4iMqG9p2GggkOvE2NyMrSAfa3ExU10pRKk85knQDT/Y8zCV6HQ6zGYzfn+A/Py8QelhIYzBEMbeXvQ2G+Y469LdYdjl1aFDYJEtTOZoE7KBfOz3+gw0BSWWZoYwiBDJyEB2e+j532ewX3A+hmEng6khuoFGPBLpIKa4fnNzc8ftkUsXN7iyDDgRgYzXvGVwilh0gN9IXcRSXczpcCBlYt3Z2ckPf/hD/vrXvyKKIitWrOAPf/jDiDW2zzjjDP7xj3/EbFu9ejWPPvpowudVPlBBEMZdH1wQhKQGmQ0uDXr88cdji1rnm6xUsZHWrCVJUlPFDAYDc486CntTE8GXXiIoywg5OcO0rPwCTwQ2+23sCtopCIvk6ccvStPMEjYdauBZrhBUI7wFswnjzBkYWloJH2pCX1w87vPEY7gAtsEMDh5LxA2fBs/hOHwRZa+kh9l9eoKHDhEOBgnl5eERoKejU00PE4wm9gaM9EYEZlkiFBoT/6zFgbrijQGRv3QaOTc7BLKMmGFHAPpeeAHbWWdhmj07NZc7AokI5UgdxPbu3Tuhddt0cYMrk5dkWrODU8QGB/gpXcTipYhpbvAUivVll11GU1MTr7/+OqFQiCuvvJJrr72WdevWjfi+a665hl//+tfq3xNxL42nPrhCMtK3Ei0NOlliHe88SqpYbW0tkiQxraqKHLebwN82EggGER2j50oHJNju07PdqycclskRvNiT0GijwCBhIcyWbsiJeJhl05OVlUV3d3d/pPi0aUQaGwkpkeLJbA84yquBYJC+3v7gscyMTMxmEwlb+GlQfGM4Ytel8zHlDJQIHUgP8/kC7OmLcDASokj0cLRZxiqZkaWxp4dlG/r7Yz/XYWSaZGY6AqLJiOB04nnjDSJt7VhOPmnU718yGM2yHonBHcSi121dLteYOoilixtceU6kcuIwOMBvcO/p6BSxdHKDTxUpEevdu3ezceNGPv74YxYvXgzAQw89xHnnncd9991H8QiWkNVqVYMVJspEOm9NREDHWhp0MsU62g3e1dVFbW0tPp+PqspK8iIRgm+/jd/tQczORhyl5nhYhj0+HR97+9OwcnQyAZ2MNwlapER4+zxeFprM1JhycOlgPpEB63SgYURFBeGmQ4Tr6tBXViAkKwp8mGtQg8dCYez28QSPTb3VFBdZItzSOvy6tADtmKjGSpZd5qvmMISYcHqYVQcmUeZ9OQ+Tx8DJxv7vqb6gAP+OHYTb27Gfswwxxbm8ExHrwUSv2yod/BLtIJYubnDleTRZAjlSF7GGhgYAPvnkE/Ly8tTe01PVvvKIWrPevHkz2dnZqlADnH322YiiyJYtW/jGN74x7Hv//Oc/8/TTT1NYWMgFF1zAbbfdNm7reqKW9Vjd4NFlN8dSGnSyLWu3201tbS3d3d2Ul5dTZDQS3vwh/o4OxKwsdE7niMeRZKgL6NjsNhCUBRxRaVj9/ZrHr9bDRXg75Qg7fHo+8uqpkgSiW8Tri4qJdLQTrq1DX16OMMEHe7yPq/++9eHzKTncQ4PHEiXd7Gq5txf9oSZkZy7GGdOHVBbrG1iXlhBYaAuTpYf+MPNE0sNMA93Dhr9XOgFyCLLDb6C9U+Br2SGsOtA7c4l0tNP77HNkfP2CERuBTPgeJFGsoxFFcUwdxCKRyJdSrAcTnSI2bdo03njjDaZPn053dzd79uxJWYpYOpMSsW5ublZdQuqJ9P0P3ubm5mHf993vfpeKigqKi4vZvn07v/zlL9m7dy/r168f1zgmy7KWZZmWlhbq6urGVRp0ssRaqTNeXV1NSUkJswsLiXz8CYEDBxAyM4ekYcXjQEDkfbeBPkmIm4Y1/t/LFzW840V4RweebfVlcqwUInoKp8t1IhiMhBsa0JWUIE6k/7jwxZq1Gjzm9WIyTVIO9yQ9dGSfj9ChJqRwiEhuLoby8pjXgxLs84m0h0VmmCKUmoeZZgyTHhYI+Onr66Orq3vU7mGCALl6iR7JwHMdJs7NDlJglNFlZSH5/UltBBL3XqRIrAcT3UFMluUYl3ltba26jxLfYjKZRjlialDWztNBAJVnY2FhISUlJUDqUsTSmTE9dW666SbuvffeEffZvXv3uAdz7bXXqv9/9NFHU1RUxFlnnUVtbS3Tp08f8/EmYlknEmAWrzRoQUHBmGejqRbrYDBIfX09XV1dZGRkDLSs/JxAdXV/y8oEIm/bQwLvu420qmlYw9mHwpjXZMdSw3uaWULy+Njmt7PAIFJg/OK+iZmZCEYj4cZGJKcT/aA84LEgy+DzeelTgsccU9ilK8nErEsX5IPVhtzdrb4uSVDvF6kPihQbJU7PCDOWr3RMehgM0z2s312upIcpk6MMXX9614udRk7JCDPfGkE0mxH0etyvvoJlyQmYFw9tBDJRpqKJhyAIQzqI7dq1i+7ubrU6WEZGRkx1sMmKiE6XQDeIb+WnKkUsnRmTWN94442sWrVqxH2mTZtGYWEhra2tMduViMmxrEefcMIJANTU1IxbrMdrWY8WYNbZ2UldXR1+v3/CpUFTJdbRAW4Oh4Ncu52s/QcI/3MrgtE4astKgJ6IwBa3gcagiC2RNKwxaPV4a3g79WEyRB97/Zm4JZhujqp4Zjajr6oi3FBPOBRCP9ADeSzIkkxfXy8IwtiDx0ZjCp9/siQTaW0l0tUVsy4dCQTVfdqCsMevxy7KnJQRxpIEbRi5e1gI/cAkKBgKYdHpMIoCToPMB+7+qmdnZIYw6PXo8vPxffIJkbb4jUCSwVQKlCiKWCwWJEliwYIFagex9vb2MXcQmyjpEugGqEsDw13rcCliSqDaWFLEEuGwWLOODrsfiZNOOonu7m4+/fRTjhuoSrRp0yYkSVIFOBG2bt0KQFFR0ViGqZIKy7qnp4e6ujr6+vooLy+nrKxswrPdZIu10l2svr4eq9XKgrlzsezfz8E3N4HBgFhVNeoXzivBpx4De/16TII8giUdSyJim4wa3nZR4kRrf8Uzjze24plgMKCfNr2/Ccj+/ehKSxP6gSmTh0gkgsls6l8HS4W6jnYrU2DlRbq6Cbe0DPSXnoFgiP3peyWRj/t0BGSBeZYwOalyIgzpHiYRCPjp7u6mp6eH7u5uda07x2Rif9DACx1GznWEyNaDPs9J6NDBpDcCmSw3+GhEW7TDdRBrb2+nurq6P5YjqhxqMq3HdEqVGmuO9URSxNKZlCy+zZkzh3POOYdrrrmGRx99lFAoxPXXX893vvMdNRL84MGDnHXWWfz3f/83S5Ysoba2lnXr1nHeeeeRm5vL9u3b+clPfsLpp5/OggULxjUOm82WtDVrt9tNXV0dXV1dlJaWMn/+/KS5RZMl1tFr5zqdjqNmzSKzvZ3Ay68QjEQgKxNZpxvxixmU4HOfnq1ePXrAOYaCJtC/9ijLw+dyJ6OGtyKg0RXPPvLqWRRV8UwQRfRVlUQOHhw1Unxw8JgkS5iMppQI9WRXMJN8PsKHmgAZQ3nZkOpgYanfkt4vZ3C0QabcPDkNbBREnYjFYqW7u5u8vDxkScLv9+Pz+ejp6UWn0xEwmXnaZ+Ecp8AMq4wuO7u/Ecgzz2BfvhzDwDrmREgXsR7Ooh2pg1hdXd2QcqjZ2eMPgIT0E+uJjGW0FDGdTheTWjcZXcTGQ8oiZf785z9z/fXXc9ZZZ6lFUR588EH19VAoxN69e1XL12g08sYbb/DAAw/g8XgoKytjxYoV3HrrreMeg8VimXA0+ODSoCeddFLS1z8mmtMtyzIdHR3U1dURCoWoqqzE6ffjf+11/H4fYrYDQadDaG1FGsZqC8uwdyANS5L707DG99wShhiOya7hLQhfVAFTA88C/RXPjrGE1CpaAgL6klLCbW39gl1RGVOBS0YeqDzmwWQykevMRa/T09XVOe6xJcLw0fIy/oCfcCiMxWKZUGtLORQm3NSE7PWiKyhA58gesk+jX6QuIJJNkGOFHorNUxPMFI3eYMBuMAx0D5MJBAIEAgG87i7+t1dkvjnEKdmQlWHHYBhoBHLaaVjGOaFXSCexTmQM0R3EZs+eHWM9bt26lUgkQk5OjireVqt1TNd2JIl1NMOliHV0dNDY2MiOHTuw2WzqvZ3KFLHBpGwUOTk5IxZAqaysjAnqKCsrG1K9bKJMxLKWZZm2tjYaGhooKCjghBNOGLGYwUSYiGXd09NDTU0NXq+XyspK8hEIvvcevp4exGxHTEckQRCQB51HkqE+ILLZbcQnC+TEpGGNnahAakaL8J7AWYYEBE0zSdhF+MxrYI45EhN4ps/LQzIaCNfXoystRbRa8Pl89Lnd6IYNHktRwNEwxdGCwSB9fb1IkoTBaByUu9xfq1tvGP3nGrMuneNAX1o6RPA7Qv1dscwiHG8LY4iE6fYn6frGRfx7LYhCVPcwyAuH2e8L81KXh0UtLmwGEbvNhu1vG8lqaiLzrLMQDvMyn+MN7IpnPba3t4+7g1i63A9IbXvM6BSxmTNnxnQRGy5FbKpIjylDirBarfSMsSWhUhq0tbUVs9k8pDRoKhiPWHs8Hmpra+nq6qKsrIz5JSWEPvwQf0sLYmZW3Bre/S7qLx6Mh4Ii7/cZ6JYEHDoZW5xuWGNmoOvWWCK8k0W+QcIiSPzTaxgSeCZmZYPBSLChHo/FimS3jRA8NtQ7kFSiDh6OhHH3uQkEA9htdiwWC4IAOp2ecDiMP+DH7+/vkKXT6TCZ+1tbxrO61XVpmw3jzBlDhEtpXdk30Loyb8DJEJxcz/ewjPjtGEgPKzXo6YtY2CblstTYgy7QQ7ss0fzmm5i2bcN+3nk4y8rIzMwck9hMRTR4PJQe0hMh2nqsqqpSO4gpNbkT6SB2pFrWo5FIF7Ezzjgj5ZoQjyNerBO1rAeXBi0sLFRTK1LNWMTa7/fjcrloaWmhqKiIE+bNI/LJJ/gbGhDsGSNGeAuCiCTLdIT707BaQiKZojShGt6DiYQjIMt0d/eMKcJ7TIxQujtDDydlhPh0UOBZOBymLxAglJWFrasbk8WCfgrXpiSpP3/b6/VisVjIc+bFfg8GxMlu6F+n7M9dDuD3D64YZsYoScitLSCIGCvKEQZ5gEZqXXk4kqGTCQrwWiCbkzPsHF0QIVwRoq+lBc+GDXw2Zw7SgDWk/BstXzldLMlUjGO4DmLt7e00NjbGzVH+sor1YOKliKXKwzoaR7xYezyeEfdRukw1NDRgtVrV0qAul2vcLvSxkohYh0Ih6uvrOXjwIHl5eRw/fz7izp0E3v4HgsWSUBqWW9bxUSCDrk4zdp00pm5YoxEd4Q3gdDpT9gMTRqmSZhgIPNvp0/OhW88sqZNIwNcfeV5YhFBQQLihkfDBg+iKi4c8HPtd+amztMLhEO0d7RgGah8nsibWn7tsxmT+omKY3+MhuL8Rv8eLlJODMTcHWRAxSrJqdR/wi9QGRHJ0w7eunGq+uNWJi5RR7G8GsrlPT1NI5MxMyCktxREMUtjcjFRRQbfVquYrJxJ8daSK9WCG6yDW1NSkdhCzWCyEw2HC4fCUr9mmy8RBSRE7LFK3DjdGsqyjS4MajUbmzp0bUxo0GY08EkUURcLhcNzXIpEI+/fvp6GhgaysLBYdfTTG2loCL74IOn1CVcd8EnzmMfBPXzaCFKDEkNw0segI75ycHDo7OxAnsvA9GgIwWrq3IFMld7PPG+EznZ3js61kmJSvu4h+WhWR/QcIK01AYh4GqRl7IBjA5/MhyzLZWdmYTONbv5dlGdrbMXR3Y87JRZw1i1AoFGN1Bwxm6oVMTHqBY+2jt648HBEEyDPKHAqKvNBh5DxHiGyjEX1eHpEPt1ByzDHMOPkkQuGwakkqwVeKFalYkuliWU+2MA3XQay+vh6fz8ebb76prtk6nc4xLy8kg1SuWR9OHIE/4S+Il2edaGnQZLbIHI1451JKg9bX12M2mzl67lxsh5oIbPg/gsiIObmj/mhCMuzw6vmnV48IOEQ/QZJzTcNFeCsTHJmpqv8hxwSPHZ2bQRcGtvl0HCVEKBwIPBMQ0JeVEW5pIVxX2x8pHhV0k0zDOhwJ09fbX/zFYNAjirpxl5GMdHYSbm0bsi5t0ukwmc1YIlns8EBHQKJMcpPl9eAP6JBHWOs+3MnSy/ik/u5dX8kKMcMM+sICAjt3EG5vw37OOTHBV319fTGWpNVqJTMzE1mWp1wYpnrSoHQQCwQCiKLI3Llzh+0g5nQ6JyXNKV0sawXNsk4B0ZZ1dGnQcDjMtGnTRiwNOtmWtSpyskxrayt1dXUIgsDMGTPI7u4h8Oqr+IOhhFpWRmSo9uvY4jEQGWi0IQjgCw2Noh47I0d4q99jWU5ZjWtBEJDjmNbBYIC+vj4kWY4JHsvni8Azz6DAM31BARGDgbDLha6sFNFiTdosQ2ma4vP5sFgtZGVl4fV5+9f1RyDeRyR5vIQPHQJx+HXpOr9IY1Ck3CRxjB1EMRNZylDXunt6evoLvgzujsVI6WSTx0S+LhYRjILMGz0GmoNhTsyIoM/NJdLZ2d8I5ILz0Q14zjIzM8nMzGTatGmEw2E6Ojo4dOgQkUiEN998U22skZeXh81mm9SH81SLtYIikIM7iPX09NDR0ZFQB7Fkj+XLzpdCrF9++WUAsrOzEy4NOtmWtSRJdHZ2UltbSzAYpLKyEmcwRPDNTfg9bkRHDmLGyDN+WYb6oMgHbiN+CbJ1MrqoCG8hNq9qzCQU4T3woEmhVvevWUdHVCdQtlQJPItX8UyXk4NgNBJp3I88zmp50cR6HQxq/va4jhUKET7UhOT3YSgsQswaWrGrKShQ7dORpZM5JSOMKeprEr3WjYzaHcvv7++OpdPp0Bv0yLKMHLXWfTiiEyDfILPHr6clpGNZdhB7ZmZ/I5DnnsO+bGgjEL1eT0FBASaTia6uLk444QTa2tro6Oigurp6zClPEyVdanLHE0hRFHE4HDgcDrWDmJLmpHQQiy6HmpGRkZRrSSexnlKvx5SdeRKor6+ntraWa665hn//93/n3HPPTdjFNVmdsKA/Xay7u5vu7m4qKioo1OsJfbAZf1cnYlZ23DSswTQF+7thdYVFsvUStjifbH8xkbEz3hreqURGjmu5jvSjNghw/EDg2RavnuOiKp6JdjtCZQXhhkZEkwnZmTuuUQUCAfr63ABkZ2dhNMa6u0cLjlOPJMlEWlqIdHejy8nBWFY2REjjt64cgbjdsQJ4vF5kSaa5uRmj0YjZPLae1BNHuR/JOVmOXsYdgec7TCzLClJsNiMYDCM2AlEsWqWxRmVlJZFIRK0SpqQ8ZWVlkZeXl7L123SpyZ3IpCE6zUnpINbe3k5HRwe1tbXodDp1kjORDmJTvTSRLhyRYr1jxw5uu+02/v73v6PT6di+fXtCNc2jmQw3uNfrpa6ujra2NoxGI4tnzCT00Rb8h5oQMzISEunOgTSs5qBIpk4ib8TgMQFZSlyux1PD+4ufd2rdquFQmLb2NkxG05gsV1GAo4ereGYyo58+DWHPXohEYFribTbD4RC9vX2EI2Hs9oF86XGKT6S7i0hH57D50gm3rhwFxeoWRJFQMEhurnOI1d2f123CaDQdVla3XQchSealLiMnZoRZaCW2EcjZZ8VUs4OhVpMiNs6B/u4+n4+Ojg7a2trU9duxpIclQrq4wcc6aYie6FRUVKiVwZT0MKWDWHQzjUQFOJ0s66nkiBPrLVu2cMYZZ3DNNdfwt7/9jfPPP3/MQg2pdYMHAgFcLhfNzc0UFhYys7iY7rfexr9jB4LNnlCEd19E4CO3nrqAHtuoIt1Pos+AidXwFgABSZZJ/s9Lxufzq+l4OQ5Hf2/kcTDNJJGhk/mn18Bsc1TgmU6PXFqC0NJKSIkUH+HGxdQVt1lx2LIRxpnELHn716UFUcRYUYFgiQ3ekSRoCIi4AuNrXTkighDX6vYHAvT09BKJRFJmdacqS84wkN61pU/PoaDIWVkhTEojkBdeIOP889VGIImIpMViUVOelPXbeGKUl5c37trc6ewGHwvRlcGAmA5in3/+OaFQSC2HmpubO2IzjbE28jhSOeLE+vjjj2ffvn2UlZVRX1+P1+sd12w1FZZ1KBRSC6/k5uayeP58dHv20v3xxwgeN7q580Y9hl+Cf3oM7BjohpWISCsIwsguWBkZn9eL2+1Br59ADe8UPGuig8dMJlN/Wc5xCrVCnl5mkTU0NPBMEJGLixD63MM2AVHWpd0eNybj+JuSQP+6dKSpCTkQQMzPR8zIGNIVS2ldaUti68qRiFnrzvxirTsQiLK6TSbM5vS2upX0rtaQyPMD6V052dlIXi+9zzyD7bzzMA7kG4/lGRG9fjtz5kyCweCo6WGJkE5u8GSOY6QOYvv27Ruxg1j/bz09eskfsWvWv/nNb3jllVfYunUrRqOR7qgG98MhyzK33347//mf/0l3dzennHIKa9asYebMmQmdUxRFysrKgP7a4JIkEQwGx+yiSqZlHYlEOHDgAA0NDWRkZHDs/PmYGhoIvvgiEZ0eITcHSRr5XCEZdnp1fOY1IALOgQjvsTFcNHhya3gLY2lqPQrRaU/KernP5yPgDyTl+PECzxT0RUVEOtoJ19ahLy9HMJvpv1cB+vp6EXU6HNmOsTd2Gbg1siQRaW1F6ulGl5uLrrxsyDKFN9L/uae8deVIxF3rDuIP+GOsbqUU6uStdSdOpl7GL8ELHUbOzAwx02pFNhhwb/g/LKefhhynOM5YMBqNcdPDmpub1UIjylp3Tk7OsJZiurjBU2nNDu4gFolEVJd5vA5i4XA44cnOkUxKxToYDHLJJZdw0kkn8ac//Smh9/z2t7/lwQcf5KmnnqKqqorbbruNZcuWsWvXrjHn9CkfsNfrHZdYS5I0oR+PJEk0NzfjcrkwGAzMPeooMlpbCfz1rwQlCSEnF1EQEL3eYbthRWSo8ev40GMgPJCGNV4jJl4weEpqeCdBq0cKHhuIN5/YCaIYHHg2UwbTwOF1uU4Eg5FwQwNSfj5uWSISiZAxznulfJXCnR3I7R0IdjuGGTNUy13xfIQH1qVbwiLTTdKkt64ciX6r24TJbIKs/vgBxeru6+1D1ImYTeYxWN1Kx6vUjtssgkGQebPHQFMowskZoCvIx/feewQLCxFyxxNUOJR46WGdnZ20tbWxa9cuAoGAmh42uJ9yurjBJ3PSoLSoHK6DWCgUwj1QN2E8HcSOFFIq1nfeeScAa9euTWh/WZZ54IEHuPXWW7nwwgsB+O///m8KCgrYsGED3/nOd8Z0fqWGq8/nw+FwjOm9yqxyPDNMJae7trYWWZaZPm0aDreHwMaN+AMBtWWlgigODfySZWgMirzvNuKNgEMfm4Y1LoQvLOtURnhP5CiD3cvxg8eEpK9zRgee/dOfwXyDlwzlRbsNjyMbXC5MBQXYSorHf6+8PsTmZmS7HX1FBUKcSWRjQKQxoidPL3FaRhj91HtFR+Rwsrp1AuQbZfb5dLSERM7NDmLPzyfS0IB1716kxYtjOtUlA6XQSH5+fkzUdHt7+5D0sHQJpprKcQzuIPbRRx9hMBjUDmImkymm/3S6uMhTTVqtWStBV2effba6LSsrixNOOIHNmzePWaxFUcRsNo+rp7XyRR2rWHd1dVFbW4vf76eyspI8SSL49j/w9/YiOhyI9owh7xEEMcY93RIUeW8gDStLL+FM0ndRsUh7enrGFOE99hONp/hKf/CY2903qnu5f1KdmqikaSYJ0e/n85AVApAR6sMzEGhnnzsXef9+Is0t6Ae68iSKHAwSaW4Ctwcpx4GhuGTIPp1h2OUzYkTmeHs4bvpduhPf6g4QCPhjrO7+oiz9VvdUlGPJMch4IvBsu4ll2SGysrMRGhrofeZZbBecjyF/9Fr742Fw1PTg9DC3283evXvp7e0lLy9vSsp7QvpEYAuCgCAI5OfnU1paGreDWFZWlireKXmeDRrPVJFWj4Pm5mYACgoKYrYXFBSor42VsXTeiibask6Evr4+amtr6enpoaKigiKTqb9lZWtrf670CBHegiAgyxJdYYHNbgOHgjoydBLOZNfw9vRPWmTkCQVEjYYwUlusOET3cs7IyBhY7hjpR5HaB3yuGGau0MPWLhtFOpF5UYF28vTphBsbCTc2oisrG/XH278u3YLU04suNxdyncjBYMw+/a0r9bhlgVmmEHl6acqbJySLfqtbj81ui7G6e3u/sLrHvOafJGw6MIoyf+0yMF8wUmi2IljM9L3wArazzsI0e3bKxzA4Peztt9/G6XTidrupr69PSXpYIqSLWEOswZRoBzHF6j6S1rrH/ES46aabuPfee0fcZ/fu3Rx11FHjHlQyiVcfPBGUGd1oQWY+n0/NlS4pKeGo4mIin3yKf3/jqC0r1WPIIh9FHPi7TFgEkirSsRHe/V/4rKyslBc1ScSwVoLHgqEgdps9YVd8Kie3wWAQn9+HQZY5NcvMrkgWu0My83X9Fc8EUURfWUHk4MFhI8UVwp2dyO3t/evSM2cgiDrwffFdlCSoDuhoCukoN4VZaJRAnpxCPFPBYKs7Eg7j9wfUTm0tra39EeYDlvdkRJgbBqqebXWbsEcclOmNmJxOPG+8QaStDctJJ8UsWaUaxYrMzc0dMT1MKe+ZKkFNl7VzGHniMFwHsUOHDrFr1y4sFot6v3Jycg7rSfCYR37jjTeyatWqEfeZNm3auAajNPxWejUrtLS0cMwxx4zrmOO1rGHk9K1gMEh9fT2HDh0iPz+fExYvRv74YwKb3kq4ZaVfgq1eA597jfTiY5peSqKIDo3wNugNtP1/9v48SLL0qu+HP3e/uWftS+/rdM+qnh6NZkYjoZEEGgGyQQKbcBC8ekMhjMOALWQLBWYxAkwoQgR24IAAjAf0M3oF+rEYEEgILQitjDSMepae7q7eu9asqtwz7/o87x83MyuzKqsqM6uquyXxJYDu6cx7n7x5857nnPM9329uaW+1QKHxkN08Wq8nj41lxvp86Owe27yJIAyolCu4nouhG2iaRipm82oZbFA8U1DQ9+0nyOUipvjhQyhtSmWiWo1K3rq+4d+amHVVZlyNYV3y2pSH0fg6+tCs+aaHpuskkjp2zGZpcZFsJrsh674dvW5FgWE9ZFGa0XhX1mdkYgL3pZcIlpdJvuUtqLfJw7h9dKvbeFhTlOXcuXMEQTDQeFi/67jT6DXL38xBbHl5mVdeeYV6vX7HHcR2gr6DdXsJYrdx5MgRJicn+fSnP90KzqVSia9+9av8u3/37wY6ZiwWGzhYd5McDYKgNSs9NDTEI488QjKZRAYB1XIZRdNQk1srXwUSXqprPFeNSqsjWohQgl0LopsxvJtM4z2O1a1zbPhvHeQxc3DN7F2M1VIKKtVIACYWsxkbHesw22gSz652UTzTx8YQpkFw9Rra/v0ohhHNS/se2uRkV35CWai87CeJ+ypn4gFpvf2DSBynjuf52LaNZVvfVmIQ3bLudob5nmbdElJqiK5E413fkfY51TQC+eOPtYxA9hpbsbDXzyp3Gw9rirLs1FTjbiqDh2E40FraiX0QTQXt1EHsW7ZnfePGDVZXV7lx4wZhGPL8888DcPz4cZKNgHbq1Cl+9Vd/le///u9HURT+43/8j/zyL/8yJ06caI1uTU9P833f930DrSEej7cUr/pF+6y1EILZ2VmuXbtGPB7noYceIpvNtl6r6DqJ7/5u6n//9/gzl1FHRzd8sULCZVfjKxUDr20MSzapXzsMotsxvG+XFOjG0areyWO9H39nkA0rzUqlgqHrjIwMo+ubM/mOWIKkJnmuZnCPFTJlRZs4NZMFTcO7cAFF19H370Mf3jgC5Al4xdFYdm32ayVOJjvP5fsepVKpJfpSq9UoFovohh4FKNvCNIy932XdCXTZeTWz7q163bubdUdrsFQYMSSfKxksBiGvTaVRXIfV3/kdEm95mviZV+30RFui1/LzZuNhy8vLHaYa3cbDel3H3RKsd2vmezsHsUQi0QreW83C3ynsabD++Z//ef7gD/6g9fczZ84A8NnPfpY3vOENAFy4cIFisdh6zfve9z6q1So/+qM/SqFQ4Mknn+QTn/jEwL6pOy2Dh2HI/Pw8V69eRdM0Tp8+zchIdy9pRdeJvfGNqKk07nPPRQFbVZESbjbcsCoChjRJqt0Nq/H/pRQwgEinEGGjrLwdw3svpUDbzqKsjVZ5nke5UkaEYY/ksZ7OsCNLR9eLsjWATDrdIO20b2q6H39MlzyS8PmnqkFNRopn0bz0cpRlO84G8pgQcMVVueXr7DNDXmPX8dyg9e9hGFCuVHBdl2Qi2Ro31A0dEQpcz8V1XFZXVwGwTCvKui0LVbs7Hqa7g83viW69btd1G+I0ZVS1mXVHUqiDZN3R/Rq9T22Md83UNRYqPm+4/iIp4VH73OfA94k9cnZbm9pBMWj5eavxsJmZGXRdb4my9DLudLcF691ey3YOYu2z8CMjI7vmILYT7Gmw/v3f//1tZ6zXj/goisIHPvABPvCBD+zKGgYlmEkZuTpduHABRVFaJfrtvjBFUbAffTVqOkX9c59jJT3GF+sxln2VjCYY7XrFoyDa97BTWwm3Zw3v23K/KYRhQKGQx/X6I4/1dHSFgerg7WpoyWSCWLz/NSU1eCzl8/W8oDCf5361jHn4MIppIYUguHkD/9o19IMHWQp0LriRdeVjSQ9bhXo9WrpEUq1UqFZr2HZUfl/fdlE1lVgsFgVwCZ7v4ToulWqFQiGPYRhYDfERwzDvOtWwvYKm68R1nXhifdZdJgwLmKaBZds7yrqlkKRy85RLVf589D6++1CC/WaI8/WvE+aWSH7nd24wAtkN7IYYSTdTjXw+Ty6X6xh3ambdmUxmUxeyuwG3Y+OwmYNYc7PTZO0fP368b82O3cI3LzWuRwySWReLRWZmZnAch/HxcU6fPt33zVI9eIy/Py25/NzLpO2QsW1+14rSeyO2xfCuVtG1/jS8+znPIBBCEIQBnudFEouj/ZLHekF/GxshBJVqhXqtNytNYNNOgfQ8lPl5zvgeF0eO8JwxwVk9wCRiihuHDlNYyHH+egk5PMyDiYCs3nkwIQTLuRyqpm373ZW9MlW/SsbMYBs2pmmSIoUIw4hJ7TpUV6ooCq3AHfV0746sqBfs5HbcNutWlEbg3v66NGNTmC8QLC6ippJkTxzBReO3FzVen/Z50+gowcICxT/+Y1JvextaJjP44rtgL1jYqqq2FMKgc9ypOR42MjLC2NgYIyMj2LZ912TWUsqBe9aDYisHsTt5Tb4tgnWvmXWlUuHKlSvk83kOHDiAqqp9u+dU3ICvXi3wymKFuJlk/9kH8c6dQ3ra1jvxnmLoOoZ3ZjAN772I1e3kMUVRiCfipLoQrHYDvT7LmmuqVqsYhtEzoa3b8aUQhIuLyFIJdXQEa+QQDwBXXdEintkqXHQ0VuLTHDULTC6cR9s3DY3r4Ps+1WqVMAzJZNJbtgSklCzXlym4eTRVp+KVURSVlJkiY2WwVIt4Ik48EQfZzC6jAJXPF+4q1bDbifasGylxXQ+3a9ZtRRyF1nWR4Pt4l6+AEJiHDqLEYsy5ChcdjXFdcNXR+L+hyndlM8TdGsWP/hHJ734rZsOLYDdwO1jY7eNOm42Hua5LpVJheHj4jgaoZuX1TvaP2x3E7qRa2rdFsN4us3YchytXrrC0tMT09DSPP/44pmly7ty5vpy3nr1e4GvXi+iawniqMa5jJbHOPox77hzScRpmEBuhbKP61d773YmG93bn6R+NDUR5jTxWq9dQB7SJ7A3KNhw5GbGIyxWAhjFJH2IS60TUm31pJZlCb85LN3DEEiRUyWfLJoYiOWYJXpfyUZUEMn6I4MYNwmyNum1TrztYlomiKtj25qNAoQxZqMzjBC621rhfNB0JVPwKRa+IpmhkzAwpM4WpmZiWhWlZkE53ZpcDaXV/i0BZy7rT7Vm325Z1WzaWZSIWl9CKRdRDB9GHh6kJeKms4UuFhxNBawKgqXr2VEblSMak8hd/Qezxx7HPnNlxRtz8Xd7O8vNm42EvvPACly9f5tKlS3s2HtYLms/fuyHLv9P4lg/WiUSCfD7f9d88z+P69evMzs4yNjbGa17zmhbBB9YIZr1CVSAQkqF45+5LsWzsM2dwX3wJWauixDbe8JuRmpoM736FQzZDv+piW2GzDUS9Xt8RAWxbKGx6/CDwKZXKBGFAMhkRtga5XlI25qXn58Aw0Bt96fXI+QoXHZ1JQ1AT0ZlasdC28CYn8K5eQ4vFGDl6hCAIqdY2n07whMtcdT4aVdI6KzEKYCg6hhIF7rybJ++uoik6WStLykiha/qmPd2mVrdlma2SuXa3iETchvi0Puv2PA9neRnnyhUC0yQcH0PRDObKkvnQ4KglOBTr/P0nNLBVyd8WDU7HVB4fHaf+1a8SLi2ReNObUHaQed2JYL0ezfGwl19+mbNnz6KqatfxsNslMvLPwXoNd8kvde8Qj8eZm5vr+G9hGHLjxg1u3LhBJpPh7NmzpFIbS7bd5qy3wtmDWTIxg0++nCMbMzDbHRh0A+vBB/BeuUC4uoKa6JzFXk+a6p3h3R92o2UdCYiUNyWPDUoA6wvrDh8JrZSj65WIM5TIogya3Xs+6sICoaGjTU51nZuvhnDe0XGFwulYwIguCSQ8X9P5WlXjtFqlXq2gKJA8fQptKYe8cQM5sbmmeNkvs1BbwFAMDGXrn6YCWGoUzCWSFWeFFWcZQzXJWlmSRgJN1Tt7ug1fasd1cJxoDErTNAzDiALF7RjAv0sgPQ9m57DDEOPe01T8gMV6wAt1GyOsckKtkpQWDht73VpD9WymrjHnqrxlaJzMzVsUP/b/kvre70FLpwda090UmKSUkTBQKtV1POz8+fM7Hg/rBc1k6W64JvAtPGd9N6C9DC6EYG5ujmvXrmHbNg8++OCWzL6tFMw2w/GxBKkzGn/xwhKBkMTNtl6LqmGePo1/9QrBrVmUVHItyDXGnQZiePeDHZTBO4haW5LH9la7u/3n0ptLV29o9qVZXUUmEhiHD294TSDggquR81WOWCGHrLX7Q1fgVZbDuYLPPwQaZ1MJRhONdsX+/YTLy8jr12Eo23leBLn6MiWv2ArA/UBBab1PIMnVlsgpYKkWWXuIhB5HVbWWL3XSiLyEpYjaBbVaDSkE8wsLa8Ijt1mQZa/lb5uQQhIuLBAWi2jj4+gjwwQCzld98lLh7LDOqKHjeUarvRNxAIzo2th2q9c9ZDQ8spdNXpse5pRXpvRHf0Tyu78bY99Go5Zt13YXZNZNdCOYrRcZqVarG8bDmqIsu+WG1VzH3XBN7jS+5YN1IpGgWq3yzDPPcPDgQRKJBPfccw+jXURL1qNdFKUfTKRt/vXZaf7vuQWKdZ9MrO2mVRSMo8dQbBv/0gwkkyiqigLR+Em51DfDux9sFCzZHu0B0TR6UB7bvUp798M3esqOU6dcqUR9tx0KrbT3pTl8GOG6G15zw1G54mmMG4InUz562+3TLqF6Ih5nKhXjZdfgpLsmoKKNjqKqCvqNm4SxOFo2SyAD5mvzeKGHpdvQ2LBJBqsMqyhYWlSuDxEsVhdBgZgeI2tliOuJ1n2vqAp2zEbVVHzfY2RkBMdxNhFk+eYfDRPFIv78AmoigXnyBIqmcdNRueyqDKkejxgVRswhQFnjABBld26DeV+uVNZ63XY0220aKl8sG1w3szwVr1H+sz8n9vrXEXvwwb7Wd7cE6+bY6nbZbLfxsPVuWFuNh/WCu4WVfjfgWzpYSym5fPkyf//3f8+zzz7L7/zO7/Doo4/2/OWrqorv+wOdO23r/KuHp/mbl5aYL7mMJjoDiT69D8Wy8F56GVdV8f0AJQwHZnj3inbBku2xxj5XFYWhbBazB6LW7pPYOuH7kahIqVwmtQOyHXTvSwdOJyFxNYBX6gamKnk06RNvu31aSmjlSgfjPAWkdJ9/qhmUhcLJRu9TSSQIJicQuRxurcxC0gcFTG33Z3Y1VLTGcb3QY64yH42lGAmyZhZbtzseoLphkDQMkqlUJMjSsLZcXY167E3RkW82QRbpefi3ZiEMMQ4eQI3HqQTwYil6/D2SCKDuEgTd7yFN0zYy7x2HSrlMIV/AMAxs22I2jPFHfpK3DBmMfeELhLkcide/vuc+9t1SBm/+dvtZR/t42D333NMxHnb9+nWAvqU9YffUy74V8C0brJ999lne//7389WvfpXh4WGeffbZlsRprxikDN4OS1d52wMTfH5mlZfny4wlzY6HoxuLszw6inb5MrphYMcT/bGWB0Jv6l++71Eq74B9vgexWoiQUrmM60RZ7+jI6MAPNul5BPNz4Pub9KUlNQGv1HRqUuGeWMDYunlpz3MpNZXQMpkN9oVJDR5P+jxf03m2qnMmFgAKGAb1A6NUr82QqOh4kxvlSXcbuqKhNx569aBOxYtG7NJmmpgS2/B1qZpKLB4jFu8myFLAMPSWktrOBVnknuxNpZCEi4uIQgF1bAx9dAQh4JWayryvcsIK2W9Hn7zc6/2qbJ51e5UKdVT+n2KCR1NpXnPhEuHyCqnv+e5t/QLg7sqsd7qO9W5YxWKRXC7HzZs3efHFF3t2D7vdM9bb4Z971ruMP/mTP+FHfuRH+A//4T/w7ne/m//23/5b34EaBi+Dt0NTFZ46OcJw3ODzMyuMJkzCwCeXy1Gr1xiZmCB7+BArX/wieC4kEjs633bYjvzV7j41KPs8KlLvXrSWUlCtVqk2+vgjIyOsrCwPxIVaPy+tjYxueI0QClcDm3LF5JAV8CpT0D7t1CTYed72Smi6EmVuFx2NL1cM7jUc8kEBXIm1fxJzuUjsZg5n3wjSuD0ZhKHoGG2jYHl/FTdwMeo6KTO9MctXaPlOp0htWhaOBFkGk/vcbYhSCX9uHjWRiOxJdZ2cB+frOhld8GQqwFgfAwZYdresu+64fDUf8mIATy1dYvz6bzH0/d/H0PHjWz7s7xbVsN3O8BVFIZvNks1mO8bDlpeXW+5hw8PDLTnU9vGwfy6Dr+FbMli/9a1v5dKlS0xPT/OZz3xmTywy+8VD+9NYasgff/kywq0wNjzE1NRkizwmTp9GXr2KrNe6jnbtGjYpg/dOHuvlFGpD53yniAxAypUyWpva16DuYa2+dGrjvHQTN12Vi26MhFLrsK6Mztfu0BVjdLR3hv5JOySh+HyhFDIsFQ7rUWbmjWXQzRr2rWW8iSxhbK8rK2tojoIpmkJAQMEtknciEZaMlSFtpNC1jSXczcrCa8Ij/Qmy7GbLZK3kHbRK3p6AFysaNaHwQDxgaK90Ldqy7kwGSl6Gz7rDnPHmGfvt36b+wANkzpxpEbDWcyzulsC01+X49e5hlUqFXC7XdTzsbsqs7/RGas+D9a/8yq/w8Y9/nOeffx7TNCkUCtu+553vfGeHAQjAW97yFj7xiU/0dM6mu0rzz4Nog8PuZNYQjctcv36dhZs3eeOhYV6sHsQyjQ6Wt2IYiJMnUXM5wkJhw2jXbmF9Bjioytd22Glm3T7DnU6lse1Os41+0NGXPnIExdjYHy4E8LKjYyjwKrsK9RqG0py5j/rS5UoFXdveoasbnNDBdec4qirMhKNonuCAGYm2BJk4wtKx5/N4mQR+9vYKTwBRoFGjzySRrDqrrDorrVGwhJFAV7vcF20BqkN4pCHIomnaGhFrDwVZmiXvsFBAHxtDG41aC9frKlddlf2W4Ew8ZLNpPoncdUZ62lRJGDYvBEc5NXaAB5au4r/wApf37+ec45DJZFrZZDqdvusy69uxFkVRSKVSpFKpDeNhTQ9qVVW5evXqno2HfbNgz4O153n84A/+II8//ji/93u/1/P7nn76aZ555pnW39f3A3vFTly3+p2zXo92W81EIsHDDz9MOp3mVW7AX76wSL7mMRSPAoeiqEjAvO9+/MszBPPzKMnkrj9AojlrQUQecylXIiWnbDbTE3ms13MMGqt7KcP3ekW270uDI+CVukY5VDlph0yYAteFSiPba/XuhRh401DwCizXcxiaSUqXHPfnWZT7ueAOcczIo6sgbJP6gVHs2RVUz8efGLpjM88bRsHqOXL1pdYoWFyPo3WpSsDmJht7KcjSXvI2GyXvUgAv1jQMBV6TCoj10mHYg8vdnMm+4hrMJ0/wncVFHrByGG98IyuN0aerV6+iqiqZTAbZqFTsZLJhp2jqk9+JoLh+POzKlSvcunWL1dXVjvGwphvWnbxOtxt7Hqx/8Rd/EWBb9631sCyLycnNBSR6xU4y60HL4FJKlpaWuHz5Mpqmce+99zI8PNy6+ZOWzg+cmeKTL+e4mXcYbRDPhAij0a7jJ8C2CS5faY127R4UgjBkZXWVMAx3zKbufor+2eCdJWa7xzJ893P01peOvMVnfY0DZsCDcb+jLy0lFIqFlnXlIL17iWCpnqPslbA0GxQICdGR3GPlueUneckb5YSZJ66GSF2jvn8Uc7GAfWsZd3oE7jDrWm0L3NEo2AIoCjE9RsbKkNDim96fvQiy2LY1sI6A9Dz82WgzZhw4gJqIR3PwVZVcoHKPHTJl9Xgf7rGIT7Yxk/0nYpIncgXu/fP/y+TbvpcDZ860jCJu3bqFEILPfvazrbGnsbEx0un0bQ2ct0OfvFcYhkE8Hufs2bMd42GXL1/m3LlzpNPpVnVi0PGwbxbctT3rz33uc4yPjzM0NMQb3/hGfvmXf7nlGtMP4vE4rusShmHfIwCDlMHz+TwzMzN4nseRI0eYmprqegMZmsp33z/Ol67kef5WCUUBIdYeGMb+A6iWhXf+FYjHUXZhfKHphhWGIYlkNCN5u8QoNkNr9KmvErMCm/hy99KXnnNVZjyNrCZ5IuVhtgdpJHWnThgGGIYxcO8+EAFztTkC4Ufz012w36iQUHwuekPs18qMGi6oKu5kFqtQw765hDs1grTunHlAO6JRsEavPfRYqMxDaxQsg63HNn9YdhVkcXBcl1qljBSC1dXVngRZpJCES4uE+QL66CjaWLQZW2wQyMZ0wetSQV/7nEHn2vuBrYKpSL4UZLnperz+j/+EkTc/hXXPPa3N/OrqKo899hjLy8vkcjmuXbuGqqqtbHJ0dHTPs8m7pXcOnWvZq/GwXnGnNwJ3ZbB++umnefvb386RI0e4fPkyP/MzP8Nb3/pWvvzlL/cdcJu961qt1lVSdCv0k1lXKhUuX75MoVDg0KFDHDhwYNu1qorCk8eGGYoZ/NmzBWJK58ZAGxvHNE38F15EmubAusPt5DFd17Btm+Qe9cShoXPeQ6bielFfEyCTTjdaHQP2pSsVwoX5LfvSpUZfGhReFQtId4xiNdoC5RKKorbKkoOgHtaYry6gKgrGNvPTQ7qLrQZc8rPUPYMDRtTH9odTCMvAnlvBHc0gUpsbf9wJtI+COYHDrFcBRSFtpElbaWzN2rKMHwmyxLBjMTzXYzW/imkY2wqytEre8Xir5O0IeKGq4UqFM4mAzKBPtdvwMFYVGDMki4HJnzDFm//mcxzK5Yg9/nirZ73eFatQKJDL5bh69Srnzp1r9br3Kuu+W4P1euzWeNg3Cwa6rd///vfzwQ9+cMvXnD9/nlOnTg20qB/6oR9q/fmBBx7gwQcf5NixY3zuc5/jTW96U1/Hagbrer3ed7DuJbN2HIerV6+yuLjIvn37OH36dN873/umU1RPpPjrl1Zw/BC7bYRHy2RRzj6M941vIF2B0kfvfgN5bGQEx6nvGsN9M0TPjq3Hw8qlMr7vk0gkBjMnafTF1/rSwaZ9aU/AK45GPlA5YYdMm52fPzL/KBE02gKaplIslfpbDwCSglckV89hambPzmMxNeReY5UZL8sLlSQH5DyWrmOYBuG+YWJzBULXxx8dTHN6r9EM3BKoBBVKXhFV1UibadJmClPb5p5VoqwlmUptLsiiaRj5ArqUGAf2oyYSCAFXayrXPZXDluBIbAdkUHl7M6eMLvGEwl/KaR7++mUeyS0TvvqRDWtot2dszyb3Muu+m4J1rxXRXsfDmq2F2+0ethsYKFi/973v5Z3vfOeWrzl69Oggh970WKOjo8zMzPQdrA3DQNO0gfrWWxHMmgzvmzdvMjo6usGxq1/sy9i86ZDOTCgpOQFpe+2rUWNxrIcfxj33Qo+jXZuTxxRFRcidM9y3Rndt8I7xsHhsR+YkihCECwvIanXLvvRVT+WmpzNthg3rynXr6TD/SKAokfRmvxAIcvUlyl45srXs57kvQQYe+/0bzDPEVf0gR5QVhFunFoZUh2OkV6voros/vb1M7p1CcxSsaedZdIvMVmYxNIPx2DgpIxlJoW4n89smyCKFxJmfI1hcxIkn8JJJjFodN4AZmSKpKzyRCrB22CXaU5e4TWCqUZb9DWWYmzdqPH7rr9CPH9ryPd2y7iZJrT3r3kkP925hpcPgG4du42HLy8ssLi7yyiuv3Hb3sN3AQCtslmBuF27dusXKygpTU1N9v1dRlIEZ4ZqmbdDJ3YzhvVOoqkpCh3/9qmn+6sVF8jW/w2pTMS3sM6/Ce+klRKmMsol4iu/7lMqlBnks2dhA3N4f3nrhld0eDwtWVzDnF2BsbNO+9KKvcqGukdYkjyU97HUSoe3mHxvNUvqzJguE3+hPB5v2pzuxduwwCHEcBykllm1zXPdZDSpcFxMc0MsM6XV8z6M8nsbMFTEv3aQ+NYwWi2aY745HaneU/TJSShJ6gpJbpODkURSVuBEnY6axtVj0u5LdjTxEuYw/N4cei2Pfdx+KruP6IS+WJbk6HAhzjGo+9cBGWjsUZLn9sRqIfisjhqSixvizCjz0+a/hnTyJeezYtu9tz7pPnjzZ0cO9du0aiqK0Msl+su67KbPejbW0j4cdOXKk63jY0NBQ6zptNh52pzcwe76duHHjBqurq9y4cYMwDHn++ecBOH78eEtV7NSpU/zqr/4q3//930+lUuEXf/EXecc73sHk5CSXL1/mfe97H8ePH+ctb3nLQGsYlBHeHqAVRelgeJ8+fZqRkZFd+wKbWXzc1Pj+hyb59CvLXFmpMZpokyjVdMwHHsC/eIlgabFjtKt95KkpsN/tAaio/QWigdASXolcncrlqA+byWZ2JKfa3pf2JyZIjI1tCNSVRl86gEgAY11f2nU9yuWoT76V+UevV6gW1FiozaMq6rb96Y7jNwhWnudjWZENY7O0P6y5JLQ8F9wMq07IJFUURSGcHCYs10kuFChl41TNyN5S13UMw0C9S7KhQIasOquYmknWivr+amuGO+pxN+VObc0ipsQJ26o90vcJZueQnoexbz9qMtqY3nJUZlydCVvwXVmBqgzvWJDlbkFSAwz4vH0Q/8//gTc8niP92KN9TYKsz7qbPdxr1661su5m8N4q677bgvVua4P36h52t42H7Xmw/vmf//kOgZMzZ84A8NnPfpY3vOENAFy4cIFisQhE2ey5c+f4gz/4AwqFAtPT03zXd30Xv/RLv3TbZ62bN8nq6irXr1/fluG9E7SX3A1N5S33jvGP1wr84/UC40kLtZkxKCrGPSej0a7r15DxBNVajVqt95GnPY/VRNlrPp/HDwKSjQx/UOZ51770co72kBo0+tIrgcpRO+TA+r50s08e+DteT2NVFNwCOWe5r/40RKz/SqWCruskk8muphhG6HA4KHKDca4yyWFy+L6PZ2sYI0kyq1X84RRuTMP3fer1esObWkfXo9bPnYhTrvAouHmSRoqEvrFdo9BJTgtkSM7N4QQObqFOtiwwSy7m2Dj6wYMoqkIthBdqGkIqPJIISOprR1svyOI4Ua+7U5DFxjTNbbPuO73X0RQY1QOu2GPMffkq37OQY//3fBfqAM89VVUZGhpiaGhoQ9Z9/fr1LbPuuylYh2G458FyM/ewK1eudLiH7du3b0tL5b3Gngfr3//93992xrqdORyLxfjkJz+5q2sYNLOuViNyy/nz53tmeA+K9f1xRVF4zZEhsnGDT72yzHDcwGg91BX0gwcpuw71l15GS6cYGRnpqe/SK1N7UAghqFZriDBEt20ymezgZhtCEC4uIEtl1LFRtOG10b3oc0R/vuaoXPM1JnXBa7tZV/bZJ99O1EUgWKwtUvWrffWnwyBsbRrj8TiavvFeko1qRBCEmJrGcZaZE2kuykmOKMvE1ABha+RHFVK5IkbVRJkYIhaPIYIQP/CpNe5b3dAxdAPd0G/LiF41qFHxywxZwy01tO2goWJpForrEF9doWqqLE8kUY0ysapgmWFyYYzjtuCgvTXXQtN1EkmdRLJTkKVQLCBC0fCjjqoYGwVZ+tSu3Qs0SG5DBtS1BB+96vK6D/8pr/6Bp9F3GCT6ybrDMLzjJd8mbvfGYavxsHw+/60drO8GxGKxvjLrdoa3oig89NBDZLPZvVsgm5PZ7plIkrZ1/uKFRWxdI26qlMsVlnJLqIbJ6KOPol+50vOjWNkuEg2I9j6woRsoqkoq2R/7vh1r89LpTfvSK4HCZdcgrkoeTfRmXdkbNr+afqM/HYoQS+8t42mym4Mgmt32fb97oBaCWr2OFKKjhz6tlogJnytyjKmwwLBWRzENKtPDxHMlzJtLlEdTqIaBaZrEYjHCUBAEPo7rEtZq6HqzZG6gNvzTdwsRmayAJ3xGY6No9LGhDULsxVWMqoN/YBwRs7CAQmjwghMnppY4pF1HC2KUvfSW6mntaBdkyaQzLUGWej1SU2sKsth2lHXvdbWpF0Sb6OibialgJU3+oapy7ff/mu952+Okj+8OaXd91u26bothfuPGjVbpeXZ2ltHR0YErmruBO53lt29y7jQJ7dsiWCcSiZ4y624M76997Wu3xU91q5nuqYzND52d5qNfvc61GzlMAsbGRhtzwAoim8H7xjmkECjblIwUZbdDdSfzfCg7hKIo5Av5gY4W9aUXwNA3nZeuCXgpTIJncn8yYGRb68o+/cGV7uzgWlBlvraApmgYXQwuNkDSGEFyMU0jEgORsqtHejPrjmQeNz6chtQ6MelzRY5SD032aUVQFGrjGexClexSmfJoiroIUVDQNC3q31p265xBEFCvO6iqiqHr6I1+904gkKzWV9FUlbHYWO9XWUr0fAWjWMVJ2hTTFumYhS/gmp+mhskxq0hG9QETP/Ra6mmGapAx08SNRG8+4JsJsjgu+Xw+EtdpZJKDiCftFVQFxuM6S26CZ/7ky/yLx3Mcft2ju571WpbFvn372LdvH0IILl68yNLSEtevX+eFF17oUAnLZrO3Neu+m4w87jS+LYL1dj3rrRjeu2XmsR22GhOr1+vcvHyZo2IFmR1CWEkybSIZaiKJdfZh3HPnkI6DsqVyj4IUuxOufd+nXG7OJ68xz4Mg6HtH0NmXnuw6Lx0IuORqLAUqw0qZkzE62NdhGFDeob3n2oI6/5J38yw7K1ia2TWYrn+vH/i4jouiKCQSiVYmLUO54bWe5+F5XuuhtFmbwlYCTrHAVTnKTDjGYSWHroKTTRAaOulcidpQEj9hIURIrV5DQcEwIgJas/cXBEGrzy2lRNPUaOqhLWj1Al8GrDqrxPU4KaN3kR215mLmighTp35wDF9KcOos+DHmwwSjep1j2nLHmJ2maK0gKpAsOyvgrKAqKikjRcpMReX0HtbfLsiCjPTf8/kCvu+ztLi0qSDL3qP7yFTGUvH0JH/0lWs8NpvndW9/Cm2Psl1VVbFtm1QqxZkzZzZk3RCphDWD915n3XtBMPtmxbdNsO6WWa/X8O7G8N5Nm8yt0C1Y+77PtWvXmJ2dZWJigte/9jGeMkw+d3GZC4tVxpJrTHHFsrHPnMF98SVktYqyydD/bmyKhQgplcu4jkuibT557SS92x5u1Zduxw1H5YqnMW4IXpv0KfoeUjYYxuusK3di77keoqGHXQ1qPfWnRSgi4ZlQYNk2hmFs+h4pJI7jRNmDpvbEJ1AVOKZFfewLcoqjIkdMDfATFhVDJ5ErovoBbjaB1jiv7wd4vo+CgmkY6KZBXI8hib5L1/UIgrCl191kmG9FUqsFdcp+ibSZIab1KOsYhphLRVTPxxvPIhp2oDUPZuQEMWlx2spjK1tvjtv1yiXRiFjRK6KgENfjpK0UMS2G2kO5HAUM00TXdSzLIhaLbRRkaYyFWZbVlQy4W5BSbnqvmJrCRCbG1+bKXP1fH+ft/+opMmN70z9tLz23Z91SytZc9+3Kuu90GfxuwrdFsE4kEhsy6141vG93Zi2lRErJ7OwsV69eJZVK8cgjj7TG3ADedM8oQ3GDL13JM5a00JopiG5gPfgA3isXCFeWUbv0jBVFGVgAQiKpVipUqzUs22JsbLS3B+ImCFZWkCsrW+p4rwZwvm5gqpJHk5196TXryjK6pg1kXdkNzbvAFz5z1TlCuX1/WkqJ67gtx6R4PLF5kJYyKns79VbJul80+9iX5TjTYZ5hrU5oapSnsiRyRbRcQG00DYrS8bDzfB/X9yIpVMNsZdxBEJBMJQn8IKoKVKOqQHMsrH2mu+SXqQd1hu2RSARlO7SVvP1MAm9qGIhEa26ESZZDkzGWOWT2TwJtCbE0FueEDpVKNBZmqSZpK0NCT/TEV1CUTkEWpIyul+NSqVYoFAoYhtHqdev65huxQbDdr1JRYDRlUXZ8/tcf/C3f+/Qj3HP/9vPYfa9jE1EURVFave4TJ060su7l5WWee+45YPez7rspWN9p0t23RbBuJ5j1q+G9U5vMXtG8IZeWlrhy5QqqqnLfffd1NS9RFIWzB7NkYwafOJ8jaxuYeuOGVjXM06fxr14luHUTJZVaVwoehA0uqdcdypVoHGZ4eDjKGDf7LC0SW3d7hLW+tIF+5HDXvrQj4HxNpyIVTsUCxtb1paWQlCsVkHLHftfroSgKjnC4Ub6Opupb96dlVAFxHQdVUzcdxWqHEKLh09u9P90ruvWxpapSGc8SW62QWihQGc8g29bTEbgb5XegtSE1DQPTMJCx6L/5vk+9USnQdI0aNVRVYSw2Ri80NbXmYi4XEIZB/cAYNNoB+cDkepgipfjcpy8RhA6wc7369rGwlr0nS+iKTspMkzSTUVa+4cHb5V5VFEzTxDRNUqQIwxDXcXFch3KlgqooWLYdlcyt3fHq7qUNkbINAl3lzz7+LK+6ucwbv/MRzC6ExUHRa4Bcn3U3GeY3btxoZd3tc92DBN1/7lmv4dsiWCcSCebn5/mxH/sx3v72t3P48OGeNbw1TbstmXWlEgmHXLp0iaNHjzI5ObntTXpsLMEP2jr/99wifihIWI2vU1Ewjh5FsS38SzMdNpv9ksFbfs5h2EdQjP59/eOvoy89NYnaxUxECLjoaiz4GgetgIdMsU4iNCrBh2GAZVlkstldHUuSSFbdPHmxyrA2vGUwbVcfs2Ox7UU4JI2yd4Bpmbuy7u59bIX6SAqzXCc9n6c6miawN244mvdXKELCIKRaqaJpKoYRlYV1LQp8MWz80CdXX0YTGkZgUgkj1n9TznfDJwkFZq6A6gRRyTvecOsSKleCFJ7UOWaUSKk+fgDBjq/ERnSWy6O5+LybR1UUEnqSlJkiptkoqtoTG1zTNOKJOPFEPMq6W4IspdY88I4EWWT3zW036LrGZDbGSy9c5cZCkR94+5MMZ3ZH73qQbHa9NrfruqysrJDL5Tqy7mbw7jXr/uee9Rq+5YN1sVjky1/+Mv/4j//IU089xb333sv+/ft7fv9eZ9b1ep3Lly+zvLwMwNmzZ/vSGB9PWfzQ2Wn+4oVFCnWfbGztoaxP70OxbLyXX4JYDEXTI3WxHqL1bpK1eu1L33JVZlyNMUPw2pSH0XY6iaRarVKtVrEsC8MwomxmFwO1QLBQXaDqVzEUE2WDAefa53FcF9/zsW0r0l3voZcdEboEiqLu6ro362N7qRjC0Eksl6hn4nibOHcpKChq816XrfK8rmkYpklIQMErkLEzJPQ4kjWSWq1WRcq2mW5dwyxUMQqNkvfkcOs8c36chTDOhF5nWive1rFmBaU1+y2BalCl7JUa3tw2IpSY9CG+oeyuIAsMIFakKIxk49RW8/zehz/FW976Gh44NrHjcu1ulJ4ty2J6eprp6emujli9Zt13Uxn8TuNbNlh7nsdv/dZv8Uu/9Euk02ne8IY38Kd/+qd9H2evCGa+73P9+nVu3brFxMQEjz32GF/60pcGOlbK1vnBM1P8zctLzBcdRhJru1ZtZATrVWfwzp1DGrIhN7r5sTrJWr0poq1H81khhSTMr27bly42JEI14GzcJ9VxV7aNhqkqw0NRCT6fz+/qCJovPGarcwgpsDQLjy5mHg3mtuu6W6qPbTi25+O67tpY1h7N9Habxw5sg9JkluRSCc0LqY9sXWpWFAVNib6jUIRUKqvUcRgyh7BVq1UtMXQdQ9eRxAjDkCAICItlzJUKvqlTncii2xYqUBU6V/00BoL7rTzmNgSyvUa74QiAH/qUwhKVWoV4GCdtpkkYCUy1dyb4RkEWF8dxNwqy2PaWmeIggTaeimHVXT7x5//AlUfv5+nHT3Y49/ULIcSuzhR3c8RqMsyfe+45pJQdzmHtPtR3U7D+5571HuHXfu3X+MM//EM+/OEPc/HiRT772c8OdJzdJpg1x8Sa5LGzZ8+2rDt3ksWbusrbHpjgH2ZWeWG2xHhqbYxFTaUarl3nkK5Pt35yS0SkUkHX9J2RtRQFpe7gX55BNa0t+9KvOBqlQOWkHTLZ1bqyTBAGpJIpYjG7tebd/N1U/AqLtYVWf7pbT7+lPqZsrj62AY2ydxAEkRCJouw5/6FrH1tvEs9KJBfzVMay0EOmVxU1AsVnSBuCEKq1aBTMNM2WFrkC6CjE81VUx8fdP4ZraARBQK1SZU4ZpqYkOGQWGTPDu1KqW1M0dMWIgjOw4qyw4iyjKlo0FmYksXS754d1JMhiY9k2GblRkEXXtUav24pacUqzbbQ5G3zbzxCzGDdDrn7leZ7JFfm+Nz3EVHYwF0Ap5Z4GSNM0N2Tdy8vLHT7UTZJa87fzz/gWDtbvec97eN/73tdS4hlEbhR2L7OWUpLL5bh8+XKLPDY8PNzxANhpyV1VFL7jxAhDcYO/v7TKaMJAb2R+SiyG9fAZnG+cQ8m5HaG6Q0QknW70k3ag4z03h5HPox0/hp7a6EgmBFx2VWZ9nf1myINdrSsr1Ov1hnVltkvveOeGJBLJqrPKqrvaMaPbXqJuVx+zWg/X7Y8tQkHdqSOF7JpJSeSeSYBu1seuNgRUUvN5auMZwk2yL4mgFJRRFZWM3uAEtC3V8zxcz0VVVBI1n1ilTpBJtkreFlBWUtzQUqRljcNigdANKNbFXWk8AtCMk93GwnL1HJ7wGI+NkzZTxHpUUQO6CLJE95PjuKzm8yDBtExsy24ZBg0MTWMoHce5coX/p1DlO97wIK8+MrrmK9Ajbmc22551Hz9+vCPr/qd/+ieklLzyyitMTk5uyLq/3bDnwfratWv80i/9Ep/5zGdYWFhgenqaH/7hH+a//Jf/siXBy3Ec3vve9/LRj34U13V5y1vewm/+5m8yMTHR03nbv9RBjTxgdzLrUqnEpUuXqNfrrTGxbj+G3eqPP7gvTcbW+euXcyRNrVUSUwwT86EHCfN5ZLlCGI9F5ha+TyKR2NW+tBeLdZ31nvdULrkaWU3yRMrDXNeXXrOuNLeWCN1hrBYI5qvzOIGz6fy04ziNUaxIfaxXtm/oB9QdJyop3yFyTLOPPS8yHX3sSEBFI7lYoDqcIoh3/gZDGVIKiliqRVzrbsOqqiq64xNbLRJqCstDSRRTwwwCAtXgWpAlkAqnjAJxNQDWZroDP8D3vQ7jkbvGGmtdoFSISuTVoMqQNYQbuixUa9FstmoMVC5XVHWDIIvjuNRqVXzfR1FVVEUdXJBFVbAzScziEv/wN1/h2tn7+Z4zB0javT/q72TpuT3rDsOQT33qUySTyY6su9nrzmYH9x34ZsSeB+tXXnkFIQS//du/zfHjx3nxxRd597vfTbVa5UMf+tCm73vPe97Dxz/+cT72sY+RyWT48R//cd7+9rfzxS9+se81DGrkAdGDqZs8ZC9oJ48dPHiQhx56aMte0G6S2Q6NxPlXD09FTHEnINX4saq6gXtgP6VSGf/mLazhITKZ0R3d9F3npRcXO1qzpUZfGhQeigVk1o1iRVaaTevKbETa2iN4wmWuOo+QAlNft2FsjGJBNDbSrj62LWRUpfA8v1X23uq1tyNGTalF4sLt6GP7CbshoFLC9Szq6ahc6gqXalglqSUw1e7XXwkFsXwF3Q2oDSUJ4iYKEArJ1brJCimm1CL7bb8j+1QATdXQLA3LshBIAj8gCHx8P0BKSa1eazDRtdtiPLIdmvPko/YoeqOP3z4WFpXLIxW1hJ7oYJf3hIYgi9EYDSvkCwghCIKAakuQJVJSs8z+BFnUZIIRp87SV57lmdUy3/OaYxwd7b75Wo8dZ/i7hGY76vjx4+i63sq6l5eXef755xFCdMx173XWfaevyZ4H66effpqnn3669fejR49y4cIFfuu3fmvTYF0sFvm93/s9PvKRj/DGN74RgGeeeYbTp0/zla98hccee6yvNewks9Y0Ddd1+3pPO3lsfHycxx57rKcbabeZ5yMJk3/98BR/+cIi+ZpHNhYRs1AU3MlJxsZG4ebNgR+LW85LN0bEPAEXHY3VQOW4HTK9mXWl75NM9W5dqTCYuEvZL7NYW0TvMj/dKl2H0Rrj8VjPD17ZYFGLcJtRk20/mkQKgVTY0Qx2OzKqgy1zHX3s0NQpT0XEM9XzKSUFMlTI6JkWwWw9rFIdu1TDTdqURlKtTLQsTG7JYWwC7lUX0Qip1UVL8GW9qApE5ebmTLen+zhupFneVHSLSuWRfrm2S9ehV0ig4OYJpdh0nnx9ubwaVCl5pYZHt03KTPUsxtKCAoZhkEqnOgVZKhUKfv+CLIptkwoCvJdf4M8qdR5+6ChPnhhpc+/b5PPvcc+6VzQrms21rO91l0qlDob5t3rWfUd61sVikeHh4U3//etf/zq+7/PmN7+59d9OnTrFwYMH+fKXvzxQsN5JZt1rGbxdYzyZTHaQx3o9124TkBKWzttfNcmfPnuNf7pwk2yj7jw5OYlpmoTJJN75VyAeR+mxZNvLvLSUClccjTlhMm2GPNmlL12tViMf7h6tK9sRzYv3HqxlIxPKu/kNGtLt6mOWaWLG45QbPfxesFM1stZxGiIkIJE+qKqCqkaa2DsepVEC7tnQx1Ypj6dhOcfIckA4PQFdArXm+sRXKkhdpTSZRTYqDYGAW3KIqmJxQM2TVpqb2ohRHoqQer2G70dOX5sFboUoa7EtG9sC0c14xNAxDHPPfboFkpX6MrpqMGKP9HSuJrvcaATmQAYtMRZN0UmZKZJGcnvt8naXzt0SZNF1zFSSoZuXOOdUubF6jLc9NMVwYvMW5N3CwG4+CzdTU8tkMmQymY5e9/qsuxm8d5p13+msGu5AsJ6ZmeE3fuM3tiyBLywsYJrmBlvKiYkJFhYW+j7nTnvW2wVQKSXLy8vMzMygKEpXjfHdOle/qFQqXLp0iSm/TOzYJDfqBoWFGzTnh7SxcUzTwn/xBaRhomyhTNbrvPSir/INmWVEqDyW9LDXSYTWGqxzQ9d79uHeCKXnvFrIkPnaPE7odvanGz1D13FRNW3DKNYWUs2t96+ZcPSmRtbteEIIAj8gFOGaJrcS/fcwELiB2+p/q5raO7lpHdb62NE89mGxiC/y6MNxkoWQzEKRylia0DKaCyO+GpW860NJ/Lb+9kqYYIE0WaXGaWVhA7k8CKISt2larQe/ECF1J0AhkkA1TbPr5kZVFCzTxDLNdTPdNaSUkWBLY657t0hqEkkgA1br/RuTrIeGitaWdZfcIgU3Dyhr5XI91uV73NxTe70gi+tGXt3tgiyRV3cXQRZVQU2nSeYWOJd3ePbqKj/yxGEePphpEVDbcTcF623bSQ1slnXPzs7y8ssvk0gkGBsb+6bOugcO1u9///v54Ac/uOVrzp8/z6lTp1p/n52d5emnn+YHf/AHefe73z3oqfvGTjLr7RTMSqUSMzMzVKtVjh49uil5rBfsZrD2PI8rV66wsLDAvn37uP/++zEMg/MLZZ65eRM3CGny+7RMBuXhhyObTddF6aIu1NmXPtG1PFwJ4Lyj4wPH1QoHY2Coaw94z/Mol0tIuXPWea9v84TLbGUOieywU+xbfWwdpJQ49U4Tjv4gkbIZ1IJIRMOyIgtTGZXANU2lGctCESKCEN/z8aSHpmlomoqq9d/fnVJLmGGN82GG/SqMKwFO0kVPaiRzJerZBIqQ2KUaXsKmNL1W8naEzg05jKJIjik5bGWj9pjneUgZGZm0r01R1Ja5iCQyMZFIpJCbun51znRHAd/3AzzXo16rt7J1w9BR1cGzbl/4VNwKQ7EsMW2wkaduUIjIaE04oUO1WqFp9dlOUuu5UKSseXWTgcAPWuYjpU0EWcoBfENmsPMF7l25xpdNj5fmJviueyfYN9T5ee+mYD1Ipapb1t1UU9uLrPt2YeBg/d73vpd3vvOdW77m6NE1s/S5uTmeeuopnnjiCX7nd35ny/dNTk7ieR6FQqEju15cXGRycrLvtTaD9WYC9VthswBar9e5cuUKuVyOAwcO8OCDD+5YSGA3xsTCMOTmzZtcv36d4eFhHn30UeJtrOzTkyken4TrToBuhMQaTHE1Fsd6+AzeCy8g6zWUWPSeXnS8AwEXXI1lX+WoFXLAEiw7okUQ2VXrygYUthZ3gbX+tKEZqI2st6k+FvgBlmX2pD62Hi01MrqPZfV0DCHx/Uh4xTTNxsOx0YVXInEaGiNTCkpEzjI1DBoZd0OIRHh+3+VyRzgoosYp1eemMkUoq4ywRGCb1IYSpGdXCQ2d0v4RROP+EALmZYY8cSaVEqNqdcNxpRS4roemqpjW1g/ASDUtuvChjDYslWqFyNKze/BtJ6nZlhWVywO/Faw2Mx7ZDtWgRlVUGLXHdjVQd8N67fL2mW7pS7JahoSI905SIxoN041NBFmEYEFNkcPmZHmWacXF2DeNffMy3twN/mjuEPeePsDrT44TNxs2rndRz3o31mGaJlNTU0xNTbWy7uXl5Q1Z9+joKENDQ3fFZ++GgaNLs6TQC2ZnZ3nqqac4e/YszzzzzLYX4+zZsxiGwac//Wne8Y53AHDhwgVu3LjB448/3vdaE4lE1Jd03b53UesDaBAEXLt2rW/yWC/YSWbdbvep6zoPPvggQ0NDXV87kdA5c2SYz113KdV90g2JUsW0sF71KryXXyZczRPmVxt96SnURHcm6TVH5ZqnMWkIXpvy0Tv60pJypbwjNbRNoWxuwymRLNeXKXiFtT7hBvWxRF8PxCZaamSqsikRays0l+x5XlTObWzwornrRhBrF8mQrRDeCtyqqjauYyTgIkTYc7m8ElYIpE/WyKKicI9c4Ioc4aqc5KHlW9iuT2nfMFbVJb5aoTKWpoTNLTlEHI9T6gK60kU0ptFvNwwdrR9SVeODKcraen3fx/O9SPK0EXy79apVRcEyTCwjKpdHa4jGwoTobaa74BXxQo+0lumovNwOrCeplUQJ13XJywK2bpM2UsT7JKm1C7LofobnKipaKc+rVl6ChE1xaAjL86KsW9cwbszwyuwtLl08yBtfc5zTU5m7hg2+Fxl+e9Z97Nixjqz7G9/4BmEYtpTU2rPuu+F67HnPenZ2lje84Q0cOnSID33oQ+Ryuda/NbPk2dlZ3vSmN/HhD3+YRx99lEwmw7ve9S5+6qd+iuHhYdLpND/xEz/B448/3je5DGhllrVare/A2iSYCSGYm5vj6tWrJBKJvsljvZ5rkGDdPsfdLMVvdXOpqkra0vjXZ6f4+ItLrFS8NcKJpmPefz/O17+OUqmgHTrUNQteaVhXxjexrpRSUCpFak3buXQNjC6xOpQB87UF3NDF1qPvujn33I/62Ibr165GNkDZW0rZKnkDjZL3GqM9Ill1PpjaxUg2BO7GGqPgrK+Vy8MQEYb4nocnaZTLtagUGpajh1VT6ISoj32qepNczebF1CEODBWJaSF+wkbL15krxCmmUhzUV0kqXSRYiYJrs2+6Gw/X9mMEYWTZGZH3IpMRTdc2MLQVaBiPxIjZEEpB4PuRa1jbTLeuG61qyKq7AsBYbKw1NninoAC6oqOrOpZqEoiApdoSKKApOuk2klov8n1X6yrXqoLDhRvs10P0B+4DTW0TZFkFGd2HFqDNnOevb9zguZNHGNL9uyK7vB3l+F6z7snJScbHx/d0Ldthz4P1pz71KWZmZpiZmdlgoNHMjHzf58KFCx195V//9V9HVVXe8Y53dIiiDIJmgB6EZNacs/7Hf/xHgIHJY72eq59g7TgOV65cYWlpiQMHDmw7x73+PDFD4/semuTTF5aZWaoyljSjz6Wo2I+8muDWLfzLlztcu2oCztd16kLhdCxgZN28tO/7lMolhJDE4jHSqRR7MVAcTYatm9UOHWarcwCYmtmhPmZbFkaP6mPrsWbCMVjZe43lHT0cPDcKes1smrZsejOsVxGTyM7KQrNc3gjO7eVy13eoiiqmahHX4612kOYFxFfKCCCRkqixWsMfu0CAxlJ6mgl3lUcXz1MfSRHENmaenusikVj27pqqNKEqautzN01GICqHNzPnblmzpqhoZjSfLJEEQZR116pVQimoKVVsI8ZQbOgumOiOINsYjRoqmhZxRyLHsCJ5J4+iqBEBzkoR0zaS1GoCvlFRUcoVzpZnSUyOo2UzrX/vKsji1PF9H91xmH92lZdCBUSc73xTBsu4cyKXt9txa33W7ft+i2E+Pz9/x4O1Ivs3N/6mRDwe5wtf+AInTpzo+T2lUokLFy5QLpc5efIk09PTe7rTu3DhArquc+zY1obyYRhy/fp1bty4wdjYGMeOHeurYvDss89y6NCh1s0npeTZ60X+8VqB0aSJ1kbtDVdX8V56idCwmBE2i4HKETPkkNW5qRBCUC6XcRyHRCKO63kk4ok9I29UqhXCICSTiR5EJb/EUm0RQzNRUXFdB9eN1Mcsy+7ba7hSKhNPJBBC4DTUyPr97ttZ3s1SLkicuotu6LsykgVrWXc7msHfEy6VsEpCjaOjEwaCMPRJlVxsL8QZSuAlbDzPxbZjFIXNC3IaG4/7lTlsVaC5PsnlEk4qjtsQUGn1pxsEr50gDAOCIOzZNrGJ9tGeVuBWt3bZdoXHan0VW7HQhdGY6dYIQ0E8FkM3jDsWvCvVCqZpYW41kUGkMhfKAFAwVZO0mSZuxFnwbGbKIQeLsxyyQZ+e6nkcU4RhK+uuV6tUA4V4Is4bX3sPZ1/7cE92wruN+fl5rl+/PlA1dbcRjQ/uQXWwD3zLaoOvRz/jW47jcPnyZXK5HJOTk1Qqlb5sNQfFdpm1lJKFhQUuX76MbducOXOmFax2ch5FUXj0cJZsXOdvzy8zFDMw9SiIaMPDLB67jwuv3GBc9XkyrXb0pTskQi2LsbFRVFXDW13dtKe8G2iKokgEufoyJa+IpdnRiI9bQ1GUnl2xukESqao1SS79VFLaS95NZm67iItu6JH0ZhCgKgqqtrNZ6q7lcimphTVc6ZLW0uhq9FOP1R3sgoNrG+SHkoQyRLouArgWpqiQ5DQLlIhxQ45yWCxjWgalySGSS0U0L6CctfGDcMD+9O6h/Xo1R+iAVuBe3+euBXXKfonh2BBWQ6Ftbaa7TrVWix7KeiTG0g9JbTfQi6hdVC7XWopqAslcbZVrXohWW+XB2hKZ/fvQM8N93bOqphGLx4nF47iuy/6RNHXH5S8//QJf+szXeOThgxx48D7Gxscj6d3b0MO9W1jp8G3Ss75b0EuwDoKA69evc/PmzRZ5DCIm+yBM8n6xlbRpoVDg0qVLeJ7H8ePHmZgY3LdWVdWugfTkeJK0rfMXLywRCInjh7w4X8bSVZ549T2Yl19BVqqQSLDRunIIo40pHi1tb4s2oQy5VZnFEx6GYlKtVZFCYFl2tAse8OuSQuD7PlLKvnfTHSVvy2yw0OVaybuRBbbIYWFIGLaRw1S1FbwHQbQpEJTDCkIKslo26m17PomVCgCV8QzC1IlWAbnQYi5Ikw5qHBFX0FWVjFZiRclwSU5wUKyQ0jzKk1mspQKJ+QLO1FDLYvJuQPtDvYOg1vDkroU16mGdkTbpUFib6XYdh3iDiNrsc7dmum+X8Yikp350O5b9GHOOxf7CIlO2S21fgqpchWKemG6TMtPE9Xhrs9bbMiSGYRKLxxkehkLN5x9ezHP6lU+QPTyCNjnBaINgPLhOwva4m4L13YC759e2x9hq1no9eezhhx8mnY7copq79dvRP+mWWdfrdWZmZlhdXeXQoUMcOHBgx+vYKoOfTNv80NlpnvnSDc4vVrh/Os1EqlGefPBB/EszuHNzlEVIEIakkpFE6MbI2LtoySDwhMuCt0BMjSE8QcWLzD+seGJHLfKWFSb09aCISt4+YYOFrOlaixC2nuXdhKIoaLreinktcpjv4XlNcpgajTD1+BCPjDhKGKpBSkuhSEksX8GoeTiZOG6y0ZaQEleo3GKEAJVDcp6srSGl3dpApMUyulLmqjbFiKwwGqziZuOk6wHpxRLVsTShuTuPkN0Mg50EtZBCZYkQQdbIIEOJ0DbOczfjpK51menuMB7pnrXfbngCrngZZNnlwfo1tIkEvpWhfWvphz5LtUUgIq+lzDRJMxkx0HtVUgOycYN0bIirTpr4rRpPFK+jqSoXVlep1+sMDw+3poMSm0yNDIIwDO+YEc7diG+bYB2LxTZk1lJKVlZWmJmZASJJ09HR0Y4HY/Nmud3Bun1EbGJigscee6zvnt5m2M5XOW3r/OjrDvG3Ly8xV1zTRQ+lZDWTobq6QrpQJDs2irpJdtWvHGg/KHklFtwFFKHgVp2u6mN9o6VG5vZV9t605C03Z3lvhm7ksMAPENJvjWttVS73hU85LBNTY8S0GHrVIZ6v4tsGpekhaPRzhYAFmWKVJGOUGJFFAnwgtmEDYYYhdnCLq8EIRUY5rK1QS9mEpk5iqUR9KI6fuDtFJSSCsogqP0NapiXEAg3nsA0qaG0CLqyb6W4Yj/iBj1t1o8CuG33PdO8Gln2LW1WbfeUlphIewcGhrhtjTdFa44URSa3ArcpNVEVj1B7tTlKTjf+z7v5XFRiNabhWik+6gpPPXeeJ6Rj22TPkdZ1cLseFCxeIxWKtwD00NLSjZ+Y/Z9ad+LYJ1usz63blsSNHjmxKHluTStxdGdBuaI6Jzc7OcuXKlT0dEduunxwzNN724CRfvpLnuZtFjKDK6soq8XiM/WcfQauU8V5+GWla3SVKFWXXY7VEsFTPUajnkX4UKGPxeN/qYxuO26FG1rsiWLPkrbB5yXtQhnRrltowkFIQhmtCKN1mqZ2wTk3USWlJzFAlvlxAEZLKWBphrX0/ZWFyUw4Tw+Mk8xC4+EJgGkbHPbG2WZFoMuS0mWeBLJfFfg74C3iKwMlaZFcrqF6AOzS4PGdLCWYXERJS8ktYmkVcjUY324VYADzXi5j5SrQ5bslbdjleu/GIjK19903zlmbg1w19YOOR7X6TgYDrThK3EnCffxNzKkGg97qBV6j6FYSUZK30mpJai6SWIm4kMJSG5sIm34elwkRM5UYwxLXFgCc+/vecms6w//WvgzNnWF1dJZfL8eKLL+L7fkfWHVXgesfdFKz/uWd9G9EM1qVSiVu3brXGnbZTHmvOsu7U07oX1Ot1CoUCtVqta5a/W+h1RExVFE5lJXNX5vn6kuDovgmGGu0BhkewHj6L98I5pOOg7LFkXyACZquzVOoVlDASy5AyekjuBE3ZUaDnLEA0etqij5L3TqAoKrquRp8ZiWgEbt/z8AEXl1AVZLQUiaKLWXVw0nG89JpyXSBUbsosdUz2K6vEwmqrGmDbdqexSWMsLPqMIYZpoqka+yiTVH1uqvuYoMiwLLE6qpFaLmPWHaqjabQGI/tOwpc+5aBMQku0iGTd0L5OIaLxvHYVtM1K3Wsz3Rox7BZJzQ+iXreqqRiNrLvfcvlm900+NLlRspmornAi5SHG071r4yNZdVbRFLVlTqKuI6ktOyvgLKOg4oc+6TBDXNncdS6jS0JN4/PBOK8surz+Y3/OyPQYw699LeP33YeUkkqlQi6XY35+nvPnz/etz71bCmbfKvi2Gd1661vfSqFQ4OrVq/zxH/8xp06d6nmn9/nPf56HH36YZHIH2cMWqFarzMzMkM/nMU2Txx57bE9v0vPnz2NZVocc7HrUajUuXbpEsVjkyJEj6KkRPv7SMpqqkLTWAqT0PbyXXkJWqiht/apisYimayS7OHL1i3pQ53rhOr7nYxkWtm215mbjg/bIGr7VTTUydV025DhO27hV4y3rSt6GEflzbyVsspcQUlAMiiAgXddIFuuEpkF9JIlq6K21LIVxlsgyTIVx8gRtM9/d7jMpBZ4XuX8Zprkhy/KlxmU5ThyXA0oeVQVruYhW98gPxZG62pI/7WUDFAYBYSgwrZ2PBzmiTi2sk9bT6ErvG7l6rY4ds1AUFSEjqdx2i09N03oimLUbjwRB5NPdnnVvNVhWKpeJx+MtOVJoZtNxnIrgRLCMORGHPto9oQxZcVaxNZu0uX2FTkhJvpQnkUz0bPdZC6EaKrzKqPFQsIo9PUn8ySfR2xQumzPLuVyO5eVlhBAtlbDR0dGuLb7z588DkbbFnUaTp3BH13BHz34bEAQBv/u7v8tnP/tZhoeH+d//+39z5syZvo7Rj01mP/B9n6tXrzI3N8fU1BQnTpxgfn5+z3eTW2XWQRBw9epVZmdnmZqa4vTp060Zyx96ZJq/anhjDzUcmBTDxGoQz4KlRZRkspVZ7sY+MFfJMV+ew1AMUolUm/pYOHiZXYLj1AmC3kw4mtnsXpW8B0EgA8pBiZgwGCkK1CCgOj6Eq0d8BOG4uIrFnDaOoUqOM48auvgtr+juLHchBJ63+fy0lBJDCTkp57nJMBflJIfFEoxmMMt1xgs1ysNJXE2JWNme1+q1a5q6p5uZTinVQc7TVHVrF2IJKZejOXvTNLcUYmkeod14pNm6cF2XWq2GpmuNrHt745FiqHO9aDNaL3As7UOqv42vLwNWnVWSRpKEHt/+DQ1oaJFML73ZfcY1iKmSF4I4F9UY37FSZvpj/y/Gvmlir30t+ugohmFsUArL5XLcuHGDF154gUwmw+joKOPj46TT6Rav5k7PNt9N+JYO1p/4xCd4z3vegxCCJ598krNnz/K6172u7+PstnVl0/f66tWrpNNpHnnkEZLJJLlc7rb1xtcHUiklc3NzXLlyhWQy2VpTO5KWzjvOTPGZCyvMLFcZSzQUz1QN456TKIk4/uUrsAsVCD/wuZG/QcWvkLST0YZhF2Jhv2pkojXGJSKpyj0uefcCT7hUgjKjVZ1k1cVNx3DT0bx9RE6DWzJLEYvxYJV0EDmdCTXqu2qbtH3CICJQNX2ju6H5WTUNDrHKcphgRk6wP1wlk5KERlQW1zNxvFQMKQUiFATN/r6yprK2m5vSUlACIKNnUAYK1BshkXheJHXa3LC6buQprSjKtkG3vVzei/FIc/cpBNyo2lRqcEJZIjYdgz6qBABO6FL0CmTMLLbWPzG1+Xm62X3m3TwKCnE9Trpl96kzbEh8AX/jpjlsJXlitYj/sY9h7D9A/Ikn0EaGo2Ovc8VyXbeVdT/77LOoqsro6Cj1en2DTfKdwj/3rPcYMzMz/Pt//+/5t//23/JTP/VTrd5kv9jOJrNXrGef33fffYyMrHlC74WfdTeoqtrSqAbI5/NcunSJIAi27ZUbmsp3nR5l9KbBl67kGU2YDU9cBX3/AZR4HO/ll1HCsO8HDEQl2GKlxGx5FsVQGEoPdV/LAL8d3/dxnTWzi+0QBiGhiMZHTDOy8xyE5b2bqIVVZK3GwaKCsBTKU0PIts+SFzHmZJY0dU4zT4iHVJTGJkPiBwGe70dMZ31tLMz3PEIhOvynt4OCwphWIyE8rspRqmGNaatIaSJLMhcJqNRHUmi62toghGFIGIZ4XjRloA7ozd2EQFAKiuiKQVLb4Sax7Z7arMKw1Tx3JKSyOUFxvfFI0/O7aTwCUKjDvBMn61W4P+NDoveMuIlqUKPiVxi2RzD6/A1upSehENl9Nq+GG7osVKugRFa4KTNFwkgwppvMeyp/JId4LJni1MoKxY9+FOPwYeKPP4Y2PNxxXMuy2LdvH/v27UMIQaFQIJfLsbS0RD6fp1AotHrdt0uQ5W7Et3Sw/vEf//HWnxOJBCsrKwMdZzeCaKVS4dKlS1QqlU3Z57crWDdLTPV6ncuXL7OystLXDLeiKJw9mGUkYfI3Ly2RtHTshpWiNjyC9fDDVL/8ZaTrQM9M9misZrm0QkEWiMVjmF3sOFtr6CdaS3AdBz8Ith3Lapa8pZQIRMtw406WvCHaxFS9Mql8nWRobNDq9oTKDTlMgMZhZQkzjD7v+pL3hrEw4SOkQFVULLv3QN2OuBpwj1jguhzhkpjgiJajNJkluVwisZCnMpZBafRZ2/vYzXWEYYAUUdbaT7k8kAGloERci2GrO7e2bH6nTfeurSoM0Bm4QxHiO9EGeDvd8uhca+Vy24YgEFxbldQCm31iDiuj4egGemPWuNe7reSXqQd1RuyRDvGX3tF7b2m93eeqs8pqfQVFVUnoCZJGii+W47ysD/HG4STDuSWKH/0jjKNHiL/mNWhdXAFVVWV4eJjh4WGq1SqpVArLslheXuby5csYhtEK3MPDw3smyHI34rakBteuXeNd73oXR44cIRaLcezYMX7hF36hJTiyGd7whje02NjN//2xH/uxgdbQj9zoeuwks/Y8j1deeYWvfe1rJJNJHnvsMfbv39/1obgbfta9olQq8dWvfhVVVXnsscc4fPhw3wSKwyNxfuiRfQRCUnLWlNfUeALuvQ9MC1nb6Hu8HkHgs7K6ynxxgbJaJpVIbRmom1hv5NH1NUJQq1XxG6SwrQK1EALP9fB9r1Hm1Nc5Y0VWjrc7UIcyJMgvM7ZUw7RSlKeHWoFaCJgLU1yUE6RxOMEcmldBiGij0a3n19Q5bhqb6I0AGWlDO5GLlujvftdVOKatkKLOBTlJFZvqeJbQMkgvFFC8qJUgpWxdz+Y6dN2IxtAavzPHWVvHZr8HV7iUghIpPbUrgboJv+HUZZpWX7+HpsWnpmpIIjveSrVCpRr5uIci3PRurfoKFwpJFFdyX7bCyP4Mtm0jhKBWrVIulajVa1E7ZpOjSCDvFvBCj7HY2ICBOqrED5K4Nu0+Lc3CUAxqQY356hzF2mWul2/xzILLZ/wY4egY4fw8xf/fR6l84pOExeKmxxRCYNs2Bw8e5OGHH+aNb3wj999/P6qq8sorr/DpT3+aZ599lmvXrlGtbv+c+WbHbdmWvPLKKwgh+O3f/m2OHz/Oiy++yLvf/W6q1Sof+tCHtnzvu9/9bj7wgQ+0/t60u+wXOwnWg2S8YRhy69Ytrl27xtDQEI8++ui2a9/rzFpKyeLiIjdv3kRRlA6ltkExFDf4oUem+ZuXllgqe4w0rTZNg+D4cbRKpYN41g4hBJVKhWq9SkkrUtfqpM3MBmZ2N/SiZtpUI9uu7L2e5W2aFp7nIWnrTd+BkjeAqNexVlZRdQtnagTZZu9ZFia35BA2ASeZRwYuvmyMk20jBdoswZpmZ/bYLFOvt9jsVShmSiuTFC7X5AhjYZmJIQhNh9RSidpwCj9ubPDobpZe2/29u5XLm2upizpO6JDRMwN5im+G3XIQ2zDP7fm4Xqf8qaZpSAFzZY183eSgVUamq6ixNAqRJK3RNtMdBD6O6xLWao1qSWT3qaoqspHVqm2jWTvDzo6gAIaiYzTuQUGI7y/w+RWDL66ovD7t8ap0mtTcLbyPfATz+Alir3kUbd2zaP2ctaZpLa/p06dPU61WyeVyXQVZhoeHd5UTcTeU3m9LsH766ad5+umnW38/evQoFy5c4Ld+67e2DdbxeLzle70TJBKJHWXWvQZRKSW5XI6ZmRl0XefBBx9kqEu5pxv2MliXSiUuXryI67qMjY3h+/6OA3UTMUPjXz44yT9cXuXFuRJjyYaKl6qsEc+uXIFE02pTUqvXqZQrKLqCYzvo6FjCpuAVQEJMt4np8Q0WgC1sI5foeS6e528ZZKKS9xrxqb3kDUoUvIWKqmtot/u3GoYYK3lwXfzhDLSNwAUCbskhaljsU/LEwwpBEER9U9Petszve1HG2q0/3a1M3dRJbymoaeqWG6qU6nGPWGj0sS0Ox1YIdY1kroTr27iZRGstzZlxrUF6XCOwdVuHR9GrIxRBRs8MyPjeCCEba9A1LHN3VALbsaFcXq/h+ioLToY4AaeHy2iWTrcks5Ok1m48ElCvO6BClSoxPcaQfffYfbajlXWrEEj4dMnm65VVHjSXmLRjjF8skb7wEsl7HyD2yCOtoL3dnHUikSCRSHD48GGCIGB1dZWlpaWWIMvIyEhrNKxfQZa7EXes4F8sFhleRzTohj/8wz/k//yf/8Pk5CRve9vb+Lmf+7mBsuuttMG3Q6+jW6VSiUuXLlGv1zl69ChTU1P9Od80gvVumoa4rsvly5dZWlri4MGDHDp0iIWFBXK53K4cvwlNVXjDiRHGEiafubSCImiwWxvEs1hEPPM1lXKthpRgJHRWw1U0RcdULUwskiQJwoBaUGXZWUZXdGJ6jLge72nDL0XU+47UyDYvWbezvA3dQF3H8jZMAylkh/hIP7PDO4FZqqEVS1RiCuybQGszYciFcRbJMEyN/cwSeD6CiKSzXSYhZVTmVxS1J+vSpoqaYRiIBqs77JHVbaiSEzLHrMjwipzkiLGMnFJJLJXQ/JDqcBI/CAjDsNXf3cyjW1VVFBVqSg0dnZiMIUKB4zs7ZpdHRLJo1v522EAqKOSrFvkwyYReIBEPqPmgBJHwkhACZYseddN4xDJNfBGQq+WwsdEDnVKpFFUnNsio9o52T+29gK5IxvSQukjyZTfLcZFjnzqPpkL8Hy8z+vXPMPLAI4w/8VRfEs+6rjM+Ps74+HiHIMvc3Bwvv/xy34IsdyPuSLCemZnhN37jN7bNqv/Nv/k3HDp0iOnpac6dO8dP//RPc+HCBf70T/+073PuZRnccRyuXLnSUkV76KGHBiI+tEub7jQgCCG4efMm165dY2RkhNe85jWt3eVeZvD3TacYShj84RcuEvhr55CZDIV9+wheeol4PIYTlyx7Kx3zmk3omk5ay5Amgxu41MIa5XoZUzWJ6zEsvXugCYOQulNviVl0g5SCIAjbMtHuLG8FQFtTNQtF2Jq19jxvA5t6N6C6PvGVMnXFIz9mEbcyrfJ7XejclMMoSI6xiBY6+G2BbjuEItp0aNrmM9Zbrk1RUZsqalK2st1oBKn7RkZRYL9WJB+6XJZjTFJATirYuRKx2RWC0SS2bbU+Y1erTyRChhTDErZqEdc6RXC2Kpdve03CAN8PMAwTKbbmz+wGfFcyV0+jKYKjqTzREte0u4UIqdVqPamouaFHwcszFBsiptmdxiOuR702uPHI7eBkxNQQW4ZcCUaZVYZ42MoRT9W5FdaY+/rfoH/1r1lKp7CHvp/0cBp7k998NyiKQiqVIpVKcfTo0Q5Blueff75DkGVsbOyOeHUPgh0F6/e///188IMf3PI158+f59SpU62/z87O8vTTT/ODP/iDvPvd797yvT/6oz/a+vMDDzzA1NQUb3rTm7h8+TLHjh3ra607yaw3K4OHYciNGze4fv06o6OjHQFxEOxGsJZSsry8zKVLlzYtw/eiDb4TTGds/sXpLP/33AL5qotwKqysrpBMJhl56vUsPP95/FIZO5Hcdhdv6RaWboGEWmMkpeAVMRUTRbae7Pieh9sy4eiiyrVFybsXlneTPGQYxkAmG1siFMQKFbS6Sy4FIpki0QhKQsCczFAkziRFMrIUWXBqWkeg2wrN/vR27OZe0Z7NRstfv5FZK5crisqQ5hATi1yRYxQ9jam0S6auM7JSozKmI6yNn6EZuD3hUQkrxNU4lmqtbaq2LJevX8fGDZXv+4RhiGWZ7GkqCSAlxZLGkswwbpbJxIMNL4nuPLX1WYIwaN2rqqZiNr47VVFavtxD1jCm2tTyXmc80uBhrBmPdM503w3lckWBtOLhS4Uv1qeYNqo8YK1gDcVASsyrV1n8yP/i2j1/jXzwXo5P3c/B9EGGrE3GOTfBekGWYrFILpfj+vXrLUGWZuBuCrLcjdhRsH7ve9/LO9/5zi1f0y5pOTc3x1NPPcUTTzzB7/zO7/R9vte85jVAlJkPEqx3klm3l8GllCwsLHDlyhUsy+LMmTNkMpmBjr3+PDC4aUj7eNjRo0eZnp7ueuPdjhGxlK3zxITgawu3yNUVTh7cR6gLXsi/BMdGGbqlo62WCeN2b89KBeJGnLgRj4hpXplSWMav+ahCxRDNh9DGg20oeWtr2cwgwia9mGz0GrjNch27WKMWU5kdU0kYCWJqlEUUhM2sHCJFnRPMIn2PADaQwjZDR3/asnoi7g2CrhuZMED4kRWlqmloUnI4vMa8NsEN/RBHzWWkXSeZK1HPxPFTGze5a+YkKQx1rRqwVbm8WbZvfi9BGCJ8f20dmkbg+0hotQL2cuMqnIBb9QxSUzmcLGBovZ1LVdRm0h0ZzThO5BomHAIlYCQ+0nFNNr5/E+ORxkx3s1S+3qc7asHt6CP3DUORZDWXXBDj74L93G+tckCvECQSGENZUnN1uPFVLh++yHP3TKDGExxOH+ZY5hiT8UkMrfdKkaIoZLNZstksJ06c6BBkuXbtWkuQZXx8nJGRkVYV6m4I4DsK1s3dSC+YnZ3lqaee4uzZszzzzDMDZSDPP/88AFNTU32/d6eZtd/QUy4UCly6dAnP8zh27BgTExO79kU2j9NvIPV9nytXrjA/P8++ffu4//77tyx1bmeRuVPUajVu3ryJ79R5x6tPMOcn+OsLM6z6V0mYMTRdp3bExopbxG4uE8RN6ON+UFWVpJECV4FQUhcODg5aoGEpJpYaZZyblrx3Ucu7w2Sjx/IwgOoFxFfKoMDSqElN80lrGXRVb81M+2gcZhkzrBJsIxO6HlIKXDeS+uylP71baG1kMDpY9sjoKz7IMqtkuCgnOGDlCSc0kksltCDEaXPuqoQVfOl3ZXxvVi5v/buidHwv0Cn7qTQC2Zpf8h70aYWkVFRZUMcYjdUYtt0tX77VhqHJLq+EZQIZklJSeHUPD6/FCt+qzN1OUovZNqEULbvPpvGI2Rihk4PObu0CEqqPkPANZ5Srapp9Ms+IqiJSFkjJxM0yk9eLVE7u49bxkIuFi4Qi5MnpJ3lg9IGBzrmZIMvMzAzf+MY3yGazjI2NcerUqTsesG9Lz3p2dpY3vOENHDp0iA996EMd5KYm03t2dpY3velNfPjDH+bRRx/l8uXLfOQjH+G7v/u7GRkZ4dy5c7znPe/h9a9/PQ8++GDfa9hpZu15Hi+++CIrKyscPHiQgwcP7jrRSFGUvrLedtnSTCbDq1/96p7M3/eqDN7uwZ3JZFBVlcnpCWbmvkA8e4OVxXGEbCQMioI7OUxomyQuzyFMo2Msaftz+fi+hx2LkdYi9qgnXBzhUgvqaFJFExqGYt42YZMN5eEwbJXeW31uVSFZqmPUfeqZOCsxH0lIVsuCVJkPk6yQZowSoxSiWWNF7YlA1kSTOa3rvfWz9wJN166wscnQdT3SLA9DMv4qhqxwXZuipGkcmFRJLhdJLBWpjCYpiwoSyGjbj/F1DdxdrT6jDUzMtlEalbJ27fLm+3bjgSyrHrNuBt+yOGQXsHrMprdCKSgCChkj03HfNhXpIp6G2mp1bEUu0xQVrUFSazceqdWqCCFRVQXP97c1HtkLqApkNRdXqvyjPE7N87lPK6MrEKbjICWJmTmSF2dZPD5McOooxzL9VVk3PXebIMs999xDvV4nl8tRrVbveKCG2xSsP/WpTzEzM8PMzAz79+/v+LfmD8v3fS5cuNDKfk3T5O/+7u/47//9v1OtVjlw4ADveMc7+Nmf/dmB1jBoZt0cCcjn80xOTvLYY491dYjZLfQarFdXV7l06RJSyg2ypbt1jl7RnN+emZkhHo9z9uxZ6vU656+e58+v/DnVoMo9E1n2pT3+6apJGCrYZvS9B9kklXsPkbg4i+L6Hd7L3U8WEfo8z0Ohc4TIVC10DDzPw8PFV308xccUUbatK1rfJe+doBm4m6phWqlGrFjFNQ3ywzFqWh0Dg5SWoSotbshhbHxOMA+B05iZ7q/PHAXIoGVreSfQ3Cwo6zYZ7dfDFIJ4OMu1cIyXxTCHsiHZYgVjdgFjPEnM6r+t1B64Ibov27P79vZBO8s9DKKeu+M4HeXyfqt/SiioFmBWnyCbdNlvFvp4d/fsfjs51Q7TESlbBEtFVdacvpTNQ267kpok1hKjaTceMZvH2cZ4ZDdhKoIkdW6EI8xXM7zKWmbSqIOiEKYTVP0qk1cKnFguoifmoc+2aC+IxWIcPHjwrgjU8G1kkTk/P8/09DSrq6s9ZRvtxhbNzODVr371nq/zC1/4Ag888MCmPfBarcbMzAyFQoEjR46wb9++vh8qpVKJc+fO8eSTT+54veVymYsXL+I4DsePH2d8fBxFUXj+xvP85cW/5NihY9HYVQOuD+euWVQdhUSsLQPyAxKX5tDqHmG8OztThIK6U0eKKANyHZdYPOp1ykZpLwjDhk5zZF8pZEhdOPjSg9a8p72rYhrbQfED4qtlVAHVkSSOJikFJUxpokiLBXUMV7XZrxZIiMhnujmC02v2L5H4biQdalnmHRFxEVJEo2Q9CrM0MR+myAmbofAKk1WHTEVQHUkh4taONhzt18Q0zQ0P3fa2k+u6xGKxFrs8DEMUJerHq13aGOuhll1ueVnqdox98RK2spFEthWEFNH93EZQDWVIKShiazFiA6i0CSEalSSlp3I5gOu5BGFIIhbvmOlu8jEMXW9ooO8tSU0SjfemM2mkVClLkzGtzkPWMkKUGLKGuEffh2ZapP7lv9wgqLKbaDqu3Wl82wirNmeza7XatmIgzaw1DEPuuecewjBkbm7udixz06y3vcQ8NTXFY489NvANtBs9a8/zuHLlCgsLCxw4cKAlVyqk4GtLX+NLS18iRqwjUANYBjx8zOXCrMF8XiMViwgt0tCpnNpP/NoiRhfiWegH1J21udrm+qVssLwDv5XJtZe8VSXSKVZI4gsfV7oUgyKaomGpFpayh4FNCOxiDbPq4qRjeOk4TuhQEzUyRpqCzLJIhjRl9gc3wRcECmuKYT0+DpumE6qqYlu3rz/djuZDXdM0rG2EWdZjWFkmRLBiHMPMVjFjKySXy1QdHydptvr+vdiZNrHVTPn6cnl7v3trlvvGcT3VD6kVJDesSTJpj2PGas+fe92iOuBLn3JQJqElsNTBKnmdpiMBnucTBgGmZbWqDOvL5e1j1u0z3S3jkQZJTUrZSmLWk9R2B2sSv6oiySouhdDkr8vjPJYa4dXCxhgaIfnWp1H3WPDkbsmsv+2Cdb1e3zRYV6vVjqy1qeF9u6wrYWOwllIyPz/P5cuXSSQSnD17llTP5hibn2PQgooQolVxyGazHTKqTuDwd7f+jqXaEqP2KIvKYtdjaCrce8AnGRNcnDVIxiSaCqgqtSOTWDGL2K0cQdwCJdKs9v11amSN/+d5buSxbBgtB6fNWN6RY5ABWlt/W9bQFR1btTHV3ds96zWX2GqV0NYpTWdB1SLSlPCx1BGuylGAaGY6cAiFwDANFEVplZE9r03uc5NAdaf700II/IY0q2n1X3qvhVUc4TKlpxmXy1yTo1QtmyPTS6SXilgVj0o6FrH5vTUVta3MPppCJ5vNlLeXy8PGiJSmahvHwtax3IWICItC+KiAVQuYkyOUkin22yXiir/hXP2geau6wqEa1kjpKQxl9/ycfd+PZE67lct1vS24b7zP2svlNtFMd+AH+L5HvT74TPdmWP94koAmKxyKDTFXTfDnE6N873c8RvpbQJmsV3zbBOvmjdStb+37PlevXmVubo6pqSkef/zxjqy1VwWz3UB7sG4yz33f55577mFsbGxXdnmD9qybVppCiA198lw9xydvfhIpJcOxYeq1qFy9FQ6OhiQsyQvXTAxdYhpExLOpYcKYSfzSLFUZEkJHGbJZ8oaoZ6ebUcm7H5a3qVqYqhWVH4VLXdSohBVMxcTWbPQB7D0BlCAkvlJBDUNqo0lC20RIQTkoIoGqeog5EkxQJCOKEVNa07DttWy0q9xnl0DV7E/3Y2u5W5DIqO3Qxdmrp/dLQVVUCURIVs+iKiqaIjgulpiVWc4r+zg6YTC8kmdotUplLINQOq9Jt/5yM/hu1+uXUuB7AUKGHSX7tbGwSH0P1oifqhqxy1XXx80HvBI7gG067FdmMXyVUNd2zBOoh3Uc4ZAxMmjsTqumKYjTfk3a20Ce57VMlSJZWaXt029E+0y3ZVmI1r3gU61GUxDRPWHuSrlcInFDlzF7lLSnYxw/QDi1n499Y4H7ptK87vgIlnFn+Bm3E982wRo2MsLb2dTpdJpHHnmEZLILieM2WVc2z+U4Tot53o91ZT/naJJvegn+juMwMzPDysoKhw8f5sCBAx3B4ZX8K/zD/D+QNtNYDaP7dreqrTCSEjx60uX5qyY1VyFuRe+px01WptKM3FjGUFSE1hA2CdZK3gCasfaQHYTlrSoqMS1GjBihDHGEQzkooxAFdFu1e5tPFgKrVMeqOI2Sd8Q5aPYdXXWIFaZI4nKCWYTvEbJ1Ntoh99nI7CL506gP2xR3ud2Bul1ydJDzR5uXEoqqktEzHfegqsIBCqyGNjNMMj1iMVVeJr1QoDKeRhh625hcSBiK1phcM8ZuZ/UZNj29u5Ts17JuZSO7XErMfJVZOUw+m+GgVSSu+ITCiMrlno8n28rl2ube1t1Qp44iVTLG7umeh0GAH2y9oWv/757nEQQSKSvRSJduoG1h9QmR9vf6me4g8Fuyvy0xFkNH67Hl1Hw2SSRe6DJpj5PwNaz77kUfb4wLK/CN2RL3TaWYyn7rZ9jfdsG6VqshpWRlZYWZmRkA7r33XkZGRjYNXDuxyOwHzfncmZkZJiYm9ox53k6s2WoTEIYhN2/e5Pr164yNjW1YTyACvjD/BS4VLjESG+kIaoqi9GyNG7ckrz7h8uJ1k3xVRQ0r1GpV9LjF6okphq4vo9Yc6hqtkreiqrh1t5UA7QbLW1M0ElqChJZo9bcLQWHb/rZW94ivVghNnfJUFtm4pp5wKYQuefUoAovDrGCE1Y4HWK9oBm5VVfGki0bUN/U8r9XHVzV1TxngzWw0FCGmET3E+0Vz82J1kQ5tx7DmEBeLXJVjVFIWR4wFkotFasNJgrjV+Mw6WuOecF0XKSPjB9d1o4CpqR3qZWviOLInYZn2crlW9/DzIS+lDxGLhRwnh7ZJubw50y08H1VV1nruW2wgSmEJgWBYH9q1kcI1lbaNkr6boWlF3NzQO64Ljdn0qDqpbckKb5/p3mg8Um9sPvVWlr/5qiQSgR967DMniAkD6+GH0NJRCzBf87F0lf/v4wcZTtx58tftwLddsH7++ef5xCc+wetf//qWytd2mcHtsK5cWlpiZmaGMAw5cOAAx48f37PzNT/vZn3rdslSwzB46KGHyGazHa8pe2U+efOTVPwKY/EuwjhKf8pQhgb3H6zz3PkqNwsmqbiBokCoqcxOpUnNrpCu+chEDBSlZTjgeV6rr7ubRJBmf1uqEk96uMJp9bdjqo2hmihBSCxfQfND6sPJlsc0QDWsMSfi1NVDjFNhTC7jBz4oapT5DUBqa/anDb0zULbbWrYbjvRDyNoOzVlcbV3Jvh80pUMTWhxL3Z4IZ6shJ8UCN+QIL9sHOTY+z/BSAdcLcLNNOdY2cl2DSNYRMBvlchqkSl3T0C2z9+sSCux8hZsMszw6zH69QEpt2Ke2l8vXqaiB0ZK4Xcv+N26qotGsEioqNhttZAdFZPdJ/4I4baIoG60+Ix4F0GH1udWKu5HUopnuWouk1mxRtmfvgQgRCPYb41hGHPtVD6HaNkJKlis+R0fjvPnU2G0pf/8zwew2Y6eUK7cAAMjNSURBVGlpidXVVd73vvfxwz/8wzz++OM9Zzb9WGT2i3anrmPHjpHL5fZ0jhu2ljWtVqtcunSJcrm8qWTpzcpN/u7W32GpFlkr2/UciqL0FayrlSq3bt1iLG5gG2muLKfRpYPv11E1DffoFPWVKqnFAn4sImJZtoUMI1lJN1h7GA6s0b3J57AUC6utv10Nq8QLeTJVSZBKUBtNgdLcAAkWQ595OUVK1biHBQhcfCl3pM29VX96U1tLT27Q6e4XUTbqIWXvMqfdsJl06HbQVDjCCkthkle0/RyaspleWkILQspDcXzf30Cua5eDbV2Lxr0eCgF+0FMVwqjWCYqCc5nD2HbISWUpIkKySbm8zaNbafxPM/uPzh12lMtRoUaNmG5jqTZ+uDOCGjT6u44b+bIPYNiyVa+6m9Vnc4PSLeCuR+dMd6eqXK1Wa5HUFC16dkwEaezUEPb996MYOm4gyFd9vuPkCA/tz9w1QfR24Vs+WLuuy//4H/+DX/mVX0FVVf7rf/2v/ORP/mRfx2iWhNaboe90XVeuXGFxcbHDqWt1dXXPS+7dZE3bR8Omp6e57777NmxmhBT8U+6f+Frua4zYI+jq5rePQo/BWkKxVCS3lCMIAqrVKqpaYlTTuVWeImYniNvRNa+MpfAtneGbK4SWHpWbdZXmOO9OHJh6gaqoJH2N8VVJoJmsjms4qo8SFDFVCxWTqyKBq45yRKmSEJWBZqY7L4/Ecz1AYlnbZ7Tr+9wdOt09lmSbaJYvByGQtaPJgu8mHdorxrUKCeFyTY5QHrc4snKL5Gye6kQWdZNyfLf1t1chPEnH5q55bZUgxF6pcEsfZnF0lH16noy6uStXL/Kn0Fku90KPUlDCkhaKp+IrPrCzZ0yzytAcqRoUvQRBRVFbHu+SqA3huE5jFtvA2EZEpbNcHhmP+IGP4zkIRzDuJxDZLP7RI5iaSqUeqbT960f2MZm5M+OJdxrf8sH6e7/3e8nlcvzZn/0ZH/jABxgdHe37GO1Zy06Ddbt15fDw8AanrttBZmv2pZre2QsLC1y+fJl4PL4pyc4JHD4z+xnmq/OMx8a3/UG3ymdbbNVFKFjKLVGtVLFjNpZlUS6XqVQq2JrPkexN5msHqdRtErGIQOZn4qzYBsNXl5ChRJhrt/CGGdmgTepzmxGobRGGxPNVNCegPpIgiFnEgBjgC585oTIvsmSocEysoIda3zKhG65P4+HbzDj6RadO95oftdtmONItw1wjkPXmk70ZpBSUw3IkHapvLx26HRKqzz1igcvhMM9nDnOfOUs2V6I6liZsU76L2M8+ChvXv2kVQkZs+3jNR9Yk3xg6gmlJTiqL6H0se4OK2np2uQJu6Eaz9mYGQzE6mPWblcu3Q6tFskvOav1gfbnc930836NpVdvsdW/1u1MVBTTIxFNMyjTOyCirlsXC4iIrV2fZP5zgbQ/tI2N+W2h4dcW3fLD+3d/93Rab+td+7dcG0gffqRsW0CK1Xbp0CU3TulpXNs91O5jnqqpSqVR4+eWXcV2XEydOtNTH1mPFWeETNz6BkIKRWG+yps0f5maMc8/zWJhfiAgwtkW9XqdSrqAbOhOTE2hqROpLVZe4kkuxXIiTioFtmQSWwfLxSYZuLKM5HqG9kWCiqRqauSb1uX4ESu+jNGyWatilOm7SprYv2Sp5AzhC54ocwpc+92oFtMDBFR6uIjA0nVCGWNLqO6NcG0HqXQlsKyiKiqarrV539z632nIQ69Une9P1y5BSUMJQu8tkDgIpBaHvc5h5lvVRXkgd47i1wFhuhXomjpeyCTy/Z9OT9iqE4vlYuRI3zVHmRoaZYpUh4TUc2gbfZKwvl9fDGo5wSWvp1j2x1utWsCx7baO5LvvfLAivyanuwmTALniatK9BiJC6E41ZaqrWcvtSlM7Q7YYecdViQslg33cf0jJRcyukxqZ5cjLGwZjLyvISn5+5QCKRYGxsjPHxcbLZ7J6Xw++WcvttDdb/4l/8C55//nmWlpYYGhrizW9+Mx/84AeZnp7e9D2O4/De976Xj370o7iuy1ve8hZ+8zd/k4mJiZ7Oefjw4dafBzXzaH5Zg5ane7WuhNsTrD3PQwjByy+/zMGDBzl06NCmD4ILhQt8fu7zHWNZPaGZWEu5YUddKVdYWlqKgoECqyurCCFIp9Otfr2QURUjk05yJg2zqwFXczE8r4quRy5BK4fHyc6tYhXrBLaxqVvQ1qXhzb2oNdcnvlJGaBrliQzSWPu5CAHzMs0SBlmR4zg+oSfQNIO4GUdRlA7FNBUFs0ep0yaLdy/np9dXIQI/wHOjnmlUfRjc2CIQAaWwREyNEdN2Z6RmfZVhH2WSwmPGnKI0YXNk8Rai5uBl4/1VAxojd2FNcG74BIapcC8rqISEodzWPa0fVMNqqx2gKmpHubz9N99toxm0mY4071VVVfEbv2XLtnaFnCZ32YGsvVwO4Lleo62zpn0REJBRYozqQ9gPvQotnaKytIITwv/nVdMcHIlEl44dPYrv+y1Ly+eeew6gZWk5Ojq6o3bN3Y7bGqyfeuopfuZnfoapqSlmZ2f5T//pP/EDP/ADfOlLX9r0Pe95z3v4+Mc/zsc+9jEymQw//uM/ztvf/na++MUv9n3+RCIxkJnHeonLXtEuttKLdSVEgaVpx7nbaJ8rh2hkbXx8vOtrAxHwxYUvcrFwkRF7pO8SZvP17b07KSXLuWVKpRKGYVCpVqjX6yQSCZKJKPsSMrrGzWyj+eDYP+qRjMOlxSFU6eL5Do7jUBuOMaxrZJbLUcDugdm/vjQcrPeiRiVRrGI4AbWhOEGis0dWFDa3ZAZVFjgkZ4mHOoKNM8ftimnNwN10TzJVE1u10NrEV6QUeF703fczbrMTCBEJzEgpMC2zpaDWYlJvsZnphiYBL6kld00Rbq3E21llyKgudrjAjByhMHKY+ws3GSk4VMZ6JI42NmM3YqPMTYwzRZFhrbmZ30p2tD/SXrMdAJDVM2vvUTrFZSIf7k6SWqd3emO2PBCtWXtVUaPvbTcj7K4eqxOdEqg+VbdCJoxhxi2CB04h43GWKx6WBk8fi7cCdROGYTA1NcXU1BRSypal5ZUrVzh37hzZbJbx8XHGxsZIJBJ3TVa8G7itwfo973lP68+HDh3i/e9/P9/3fd/XKvetR7FY5Pd+7/f4yEc+whvf+EYAnnnmGU6fPs1XvvIVHnvssb7OH4vFdmST2Wtm3S7JmU6ne7aubJ5nLzLrfD7PxYsXWy5dFy5c2HTjUPErfPLGJyl7ZcZivfmVb0BbZg0Q+AELCwt4fpQJrKysoBs6o6OjLanHpumAoioben8A2bjH/ftXuLCQRZEp4lpEJssldSrEmVgsQcyCHsu37aXhJoFQL1WJFeu4MZPSWBLVWNOR8oTKTTmEg0JGXCUtAgxhtIwNtkJ74A5lgCNcSmEZpMRQTSxMQl8M3J8eBO0ELN1Ye+CvBQfRKot3bGY2Cdy1sIYrHDJ6umMTstM1bsaCD8MA6fscU1wWzTH+afw095WukVooUBlLd1RCOiAEsXyVsC74p9ETYCicVBYx1O790K5z1GHYGgvbyqVLyGg0S1f1De2AZrVgfW99c4/uiF2uqgLhCnQlYl+vl6a93T3rQRHgMyqSxNNjOIcPUcwXKC3mOTUW4/4RNWocbFHdURSFoaEhhoaGOHnyZMvSMpfLcenSJSzLYmxsjLGxMYaHh79prstmuGM969XVVf7wD/+QJ554YtOH09e//nV83+fNb35z67+dOnWKgwcP8uUvf7nvYD1oZg2DWVfee++9fRPadjtYt6uPteudb6YPPluZ5VO3PoWhGmTt7MDnbe30JdSqNRYWFxChoFardS15R4L9DUbuFpvhmBFy3/QqM0tZqq5O3IoedCIWZ9E2Gb6eix56ttmXgpTmBaRWK6BAbd8Ivqog23q6y+owq1qGLKukgzlsYWGpNoat9z0SpSk6CU0nQYJQhtT8GgVRRFXVyLRB0Nd4U7/YioDVDkVR0fVIYjOaGRYt4Z720rCqKg3p0IBMQzp0p5BIfC8auVrPgo/EWZruXhGh6hBFVkKfF9JHOWwsML2YozqSIox1Zvda3SOxUuZmcoybU+NMUmJU6/2ZsFaZoSPTbY0OqmoreG8lALMV034rj+7mKF37uNqW5XJN7e/7uA0mjBKJLzzG/ATW2DThgYP4ArxQ8h1HTPYlVebm5nBdFyEEIyMjjI+Pk06ntwy4TUvLgwcPEoYhKysr5HI5XnrpJXzfbx1ndHS0r/nzuyU7v+3B+qd/+qf5n//zf1Kr1Xjsscf4q7/6q01fu7CwgGmaGwQ5JiYmWFhY6Pvc8XiclZWVvt8H26uYNa0r8/l8R1DsF7sVrMMw5MaNG1y/fp3x8fEN6mPrzyOk4BvL3+DZpWcZtoe3HMvqCY37e3V1lWKxiOd7OI7TU8l7Oxia5J7JPDdWkyyV4iRMP3ooZVNUknHSVxZRai6uETkkaVtpNjeyLKPuUc/G8ZNRj1Uj+s6rwuCGzKIJn0n/IopwiStxTL2he7zDH7LwQwxhkDATSEU2TByqiFBgqgamYu1aOVk21KQGUVBrMntbpeEwRIQhnu9RlVU0RSWpp3anb9rmmGWte6i2i7Oslwod0WrEhcu12BhFPcap5Ru4DbczQkE8XyH04LnxE0hN46SyhKkO/ltrV1GDtWvi+x51L6Su1IlrcWLqWil3s2x603O0Be6ISBbpnrc225uVyxtiLE1Z2F71B2R00j2DQBCGPhNBCv3AYcLxcUquxNYV3nLMJmVG62tamtq2TT6fZ2lpCUVRSKVSTExMkM1mtwy4mqYxPj7O+Pg4UkoqlYgnc+vWLV566SVSqVSLpJZOp++agLwVdhys3//+9/PBD35wy9ecP3+eU6dOAfCf//N/5l3vehfXr1/nF3/xF/mRH/kR/uqv/uq2XKxBCWbQm3Xl5OTkBhOQ3TpPr1ivPnbmzJmu3tjtNplu6PKZW59htjrLWGx3zELCIKRareL5kUmAZVp9lby3g6rA4ZEKCTPg6nKamBGgqRKhaxRPTJGZXSVZqFHXwPd8fKIHvK5rrUzYKNeJFWv4MZPS9FBHvzsQMCuHqGAxTR4ZziOlIKWlUVQVEYY4QdDKYLZygeqGqD8djbe0k4PiWoK4Fm1kHOFQD+tUwgqGYmCpJoZiDCRu0uz7KjtQUGuHpmmgghNUsBUbS1qIIMTxg8GzOjZ3zOpVKjSmhpwUi1w3Rnhu6h7uX5ohWXFQheBWaowbQ5OMU2Zcq+zo83dDMyAK4eIGNZIkUUMFJ3BQVQVoqKgNMLfejXS4Zblc1zv0B0RDf0D2wC7fKwgEMvSZCNNox04SZDMUHMmBlMarp010tb16Iluz75ZltRINz/NaMtGmaTIxMcHBgwe3fGY1g3wqleLYsWN4ntcqlz/77LOoqtoql4+Ojt4R97pesONVvfe97+Wd73znlq85evRo68+jo6OMjo5y8uRJTp8+zYEDB/jKV77C448/vuF9k5OTeJ5HoVDoyK4XFxeZnJzse61NbfBBsD6zXj+fvBvWlbCzYN2uPnbs2DGmpqa2ZZ2vOqt84sYnCETAaKz/GfRucOoON2/eJAgDlEBhKDvU2sD0U/LuBWMpB9sIuLSYJRQSUxdIRaGwf4SEZZJcLBDYJgJac6xaCJlSHRUlMocwOx+cy2GcRTJkqHFUXqcSlLAwSVrZtczEMBBts8ubuUB1w3YWjhAR9OJaHBqBO3IGc6jIKrqqYykmZg9e3KJRMpZtJePdgC88ymGFuBbHbkqHdrkm/WR1kenERseszt769uIymgpHWWEpiPNC4gjHCreYS47iJJIcVxaxd5BNb4d6WKcu6mSNTKtv39woSRkF1+ZzpJc56s52QCfpcKtyObSJsTSu/1bl8vbN5u6S1SKEMkQNQsa0YZRT9+DYcaqO4OykybGhjb+BzXrVTcEXKSXlcrmljd8PTNNk37597Nu3DyEE+Xy+1ef+xje+wfDwcCvrbtr/3g3YcbBu7kgGQSuzc92u/3727FkMw+DTn/4073jHOwC4cOECN27c6Brct8NOgnV7EC0Wi1y8eBHP8zh58uSuWVfCYNKmQRBw9epVZmdnN1UfWw9VVblSvsLLqy+TMlPEjV24KSWsrK5EgdoP0DSNbCYbEXMGLHn3gpQdcN++VS4uZHF8DduIHobVsRSBpZO9uUJoaqi6jl30MCoOlYRJPW6gItFEiKZqOELnhhwCFI6wROgXqFAnqaWIGRtHkFRFRW32dFulx07RkfVBqr2U2WvgbHcGE1I0tMpdqg2tclM1u5qMNIOcpmmY5mB63t2wlXTohmuyzhlLU7XWhmb9Wtdnju1e2f2Ks5ilGidKy1zIHuAL+17FpLfC2YVXcBpGIHuBSlghkJ1Kbet70+29/+203LdqB6zHBjEWKTs5KVuWy9c2VlLKSJp1F0cGQxmge4JhexxO3ENZ0dEEfOeRGFl7c0/yzX4fQggqlQpHjhzh4MGDO1qbqqqMjIwwMjLCqVOnqFarraz7woULxONxHn/88Z4JwnuJ25bvf/WrX+XZZ5/lySefZGhoiMuXL/NzP/dzHDt2rBV4Z2dnedOb3sSHP/xhHn30UTKZDO9617v4qZ/6KYaHh0mn0/zET/wEjz/+eN/kMthZGVzTNFzX5aWXXmJ5eblFZNjtUlI/mXWv6mPrEYiAF2svsuQucWT8yK4QgsIg5Oq1q6yurhKLxRgaGmJ1dTV6IDSy6UFL3r3A0gX3Tue5kktTrFvEjEiBy03HWDk+wcjMIvGVCoGtU943DKqKJWWUbXs+iySpaGkm1BJDokQlKBMqgmFzGK2H/v1a6XFzMpYUAgk7mp9WFRVbsbFVO3qYSw9XeA2TEQ1TNTGkgd/w+97KgnMQVMMqnvB6kg7dqqfbYi+rKkEYrbU9cxxU6lT1A+LLZTxV47nJEwSKwSNcZcnM8Nz4Pdy7fIWY61PPxHctIEWjWRUkkrQWzVC3SHzrVODW9/438yxXFKXVmx9kOqCDkLdtuXytAuB5Hn7g4wf+rsyW+9In5kqymf2II8cohCoTMY3H9pmY2uYPgmYZfD3CMKRWq3H69OlNx053gkQiQSKR4PDhwwRBwMrKSofC5J3EbQvW8XicP/3TP+UXfuEXqFarTE1N8fTTT/OzP/uzrX6E7/tcuHChI/v99V//dVRV5R3veEeHKMqgaxgksw7DkHq9zsrKCuPj47zmNa/p382mR/QarEulEhcvXsR13b6y+6pf5ZM3P8msP8uEPbErgbpYLHLlyhWEEIyOjLZK3goK9XqdmBLDMq09Ja4AaKrk+HiRuUKc2UKSuOmjKqwpnhk51CBsPaQVRaGuJbmlDhHH5ah/E+m6FFQHXdMYNocHuj4byVhBw8Ix+n6b2e5OXbEURcVSIhMIKSN3sJpfoyTK6KpOTI/tWjbdHpAGlQ5dX44NgoC64wDR/GwYhq0g1bfUaZuf+M2hcW7Z4wxTYUrLA5EZyDJxnp84yaHSAtOL+Wi8S9/ZRkZIQTksRfaqaqq1/l43GusFe6Lr4jcqU3rUBtmhzHE/5XKINpOwJju7Wbl8O/jCI+kqpCaO4e87SMmHB8YMTo1sT8wUQmx4TXMtDz744AbS8V5A13UmJibuGvKZIvuxRvomx9/+7d/ykz/5kzz77LM9vV5K2eplhGHI2NgYp0+f3tM1FgoFXn75ZZ544omu/+55HpcvX2ZxcXFb9bH1mKvO8bc3/xZDNSguFbFjNsPDwwOvNQxCrt+4zvLyMqlkqtWzb5a8Az/AcZyozaGAbdnYth0F8z2+/1erJpdzGSwtRNeiW1yRkvTsKnaxTs20uMUQLgb7WcEKa3ihh6M62KqN+f9n783jJKvrc//3Oaf2tfd19p1ZYNg3uY6SBCWCRDrcG6KJKPyMelUUjaIo2Qwu5IoxaiQhAQRmAHE3IDG4BEFBw84we0/vVb3Wfvbv74/T50z1XtXLTCPz+PKl09Pddaqm6jzfz+fzfJ7H9o+7qM2hJp8DToWle/Npt5KyLAshylOxFhbxWS4g8/v9mJhoQsOwDRRJxi8FCMrV256CM2/MmVl8i2gd6r4uPp/f8zCwLBNhO26uTkVemRGLohpERnKU/AFeqVuFhY/V0jAheer2hm7LdIoGAprGKSOdGHVRzMj8BKGupWpQDhBRohOqaVexXS3KxyQgvD33xXJRm4yJt3+BqmpTDkluu9y0LI9E59IhGJZGQvcRXbWFfH0TQsAF7QGaopXVh11dXcRiMe/+5Bx2Baeeeupxb0m7yvQTjeUpe1siVFNZ53I59u/f70VXZjKZ42JWMVNlXe4+VltbOyUAZDYIIXhu6DmeGnyK2mAtftlPVs5WFWE5+feNjIzQ3d3tRNk1NaMoU1XewVCQYCgIAmd1q6QylhlD2IJQyCHuYHBpKu66qE7IP8r+gRo0UxAcF55lVtQzIFtkMwp1viIrRBrLMNBlC82nkVDiBOSg9zxN05xRTT4XpptPT2t9WuYWVq2K2tk5NrGFNcHhKzD+H8c9TUcTetW2p7A01qHe6xIIeB7wlmUiSTKB0LgZy+Td5ekOTN7anUFXXRO9wcbxanpkxscOyDabSNMfjPObpi1sHOkmoeVRa6s7hBi2Qc7KEZEjhJQQhq5jLtBTfbq5/dQRguui5lS5Cz3klSfw6bo+nv19jMRnapfPlm5nGCpJK0R4w3ZGwwlq/BIXtocI+yu/znKBWalUwu/3c+qppy55fPB0WA5EDa9Bsp5rZq3rOocPH2ZgYGBCdGU+n1/y6EqYnqzLjVa2b99eVTWsWRo/6/0Z3fluGkPHWuUSEsKunqxLxRJ9fX1ks1kikYh3yp1V5S05p9NAIECCBIZuoGoq2WzW8TUOOqQeCi2eCAogEjDZ1j7M/lQNJcOHJGwGclH8EZu24BB1XQOYPhkrYGFgUuNLTnDekiQJv99/jFjLUpF8ig95hiQhV8Fr2zaB4MxrUhPFPsfcwipVls+2c1wOvxzA7xH3dLan0xP3UliHur70gWAQafzPDkGVW4nKE0hqukjLoGYQGSlQCId4oXUjFgrrpfS01fR0aFVyJKUShxpXUJPLsra/H60p4cSuzvUcbI28VSCuxJBRUFXVWzGaTzUtEBiagWCq4tvFtIpuyz3kVRd9OhnTte2ntMulYyrxmWbumq4hWQY1cgLflp2M+CNsqvNzapN/1pzr6eBW8MVikWg0yvbt25ftStXxwmvq2c9WWdu2TU9Pj1e5nnPOORNk+0vp2V2OcrIulUocPHiQkZGReRmtzLaW5So/K4VpmgwODjqiMVt49n3zUXn7A378AT/xeBzTNFFLKoV8gUwmQzAQ9Kru8ti9+cKvCE5pHeVgOsn+gRoa4kUCIk/OMDDXNRLv6UM2IBmefQ4ryzJyIICfcQIZXzOa3CYvV/BW55JU5hY2nTNWWWRiuUp6tp3jaV+PaW1PsyCcvwtJIXyyb9GtQyfvlTuGKs7rFwoFZ+xWTCYG29AJp3IohsnBhlYGgk00kqNVKVR9TRHZZLOdpjdew3OBDWxOdaHU+qe4npXDXc2KK3EwBbqlL6ia9t4vskwwUNn7Zfro0+nfK7NhNrX9tOryaTK63Wvx+X3YpSLRYD3ZlnX0ZwrsrMvRShS1FK96Bcq2bVRVpaWlhc2bNy9ZoM1cWC5VNbxGybq8xVIeXSnLMjt27Ji2clUU5wS91HDJ+vDhw3R1ddHc3Dwvo5WDYwf5ed/PifqjJIKJKX8vydKED99MEEIwNuqY5Qsh8Pv8hMIhJKSJKu95vql9Ph+xeIxYPIZlWk44R6lIJpsh4A94xC0r8/+wyhJsas4QkrMcTkeQ/IJgNEjKHKS4voG1fSZ+1cCcJmpzOrgEMrlNLksS1jxNL8oxnYrasiwvrci9hoDfv6CbyWTbU9VWyVk5L4u4fFd4IShPzFJ8Crqmz2vvO1TQCGWK5GIRXoq3Y9oyq61eAraOVuGO+2TIMqxkjFwowMsNa2nJDNGs5TBqps5FC1YBXejE5TiWbi2omoaF55VDub+98+eZOhGuwYgLtytT6Xt1srq8PKNbIJBKJWpq2lFXbKEx5OOt7X7Qi+RyObq6ugA8Y5JYLDbrayaEk3a2bt06tmzZsqwI80TiNUfW4Phlh8Nhz0Qkm8160ZUzvYmOR3SlOwsGGB4e5owzziCRmEq0s8G0TX418Cv2ju6lLlw341xSkiRsa/bnUywWSaVSnj0lOJWcW00vlrGJC8WnEI1Ficai2JZzslZVlWzOSelyBWpKlQpe0zTJZrKEhMmO9gb2jsQZ1oZpDNYSVaKMrhXEe0cJjxUww4EZozYno7xNbui6UylKxwJf5tuWnIzyyhKOvRdVVfUUurK8sNmlIimE5TCmbRBWQvgkH0W7RN4qLMg9zUvM8vkRgKZqVe99S6ZFZDiLZMPR5jZ65XoayNHizwEKQoSm3XGvpLp0EZd1NvnS9NTVMJqPsyHVh2gIgaKUKeFtonYU0zIXnvftJYktnlENzNyidleh5HH3PcH81/rKM7ot20QpaUQa15JpWsvahMLpLX78iowUjHv3r2LRIW7X8jMSiZBIJIjFYhMKEXeHura2dk5nstcaXlNk7c5Xu7u76e7uRlGUik1E5mNWUg3KM68BTjvttKqr6YJR4NHuRxnVRmmMzG5UIzFzG9w0TQbTg+TzeWKxGCW1dCwm1J1NL7KxyWTIikwkGiESjSBs4RF3Lp/Dp/icijscmv2GKSCXz1EoFIhGotTW1dKr9RKuzxLJnouwQ6CYCEkiu6IOM+QnMTCKEQpUvIPrzhttYROJhJEk2ZtvOwKcyh28pv39wsYwTKxpxEvHbsYmQjgCNZ9SeXRjOUxhkjOzE0InIoy7p4ky97RxE5aAFJhTBOcmZvn9AUzTQIjqCSKYLRDMlsgm4xyMtGMhj7uQHZtNzySAmmw6Mhcp+mRYwxgjsTB7/WtYMTxAIqExqpSQkAhYQYQkFlRNwzGB3VLmlcNUMaNpmpjj+/eS7BzWvc/yPGDZBv6SQWDVDko1zZzT7GNVQsFRsVveNUiSRDgcJhKJ0NzcjK7r5HI5stmsl/8Qj8eJRqOeLueFF1447naoyx2vKbJ2CXnXrl1ceumlfPnLX64qunIpBGaGYdDZ2Ulvby/t7e1s27aNxx9/vGqldl+hj//s/k8UWaEuNLcATZKnkrUQgtHRUYaHholEI9TU1JDJOip4SZIW3PKeLyRZIhwJE46EHeLWVDRVY2hoCEVWCIVDhIIh/GW2oZqmkc1kkRXZST6TYX/JiQjdGd8M8RxHhyWG8yEiAWfdptgQxwz5qD06jOVX5tzB9RS0skwoeGzeWD7fPkbcTgu7GuK2TBN9XEA23Vx3WmW5G91YhejIFUxFlQhBeeLcVJZkwlKYsByeYsKiSAqB8ZWwcuIuP8AosoKu69Wbm2gG0eEctqJwpHUF/dQ51bSSm/NnJ+y4T8minltFXaeUiIU0upQG0rkCreQhGllwNQ1g6DrWHMLDxYYQNqbh/HsEggGvMzNdglqlBGmZOgHdhnVnItfU8fsrAySDx9LI3P8tL3BcZbnf7/dcwyzLIp/Pe2EdjY2N9PX1YZrmvLdVFhPLqbJ/zZD1T3/6U66//nokSeLjH/84H/jAB6o6US52ZS2EoL+/n0OHDhGLxbzM6/IovEp/zwvDL/Dr1K+pCdVUHK04WWDmtrwR0NLaQjab9ebG7odsMVve84UkO6f0cDgMwiFlVVUZGRlx1sUCQa/1l0gkCEfCqLbK/uJ+apQaVkWO2ROubcgSCRp0DccJ+w0UGfRYmOENLdR2ppE1Ays4/evptjHLowqnw3yIu9LQiimP40U3OqIjs4Ic6qJVRLVVEkpizqS1ySYshnCU5SWzhCzJBCQ/QSmIqZvHXqdxtX815iahTJFAQSNTG+dQqG3aarpSTJtFXbYq563LTbo+GZ1a6QDZaBNHtXWsKgzjq50/uQqEpzkoD25ZaliWia5P3RiY/UBzbIVwug6Nran4UTA3nEN7Q4Kz2ya6kXkbJ2W6oPL/ukpv97+BQIC2tja2b9+Opmmk02lM0+Tpp5/2Yi0bGxuXjZPYicLvPFmbpsn/+T//h//8z//k05/+NJ/73OfYtWtX1a2fxaysXW9xwzDYsmULDQ0NE97glc7HNUvj570/pzvfTUO4oapToCzJnkAqnUpTKBSob6gnHA4z0D/gEcXxaHnPGxLeLndCJMhms95qnoSEbuhkC1n67D5WBVdRH6if+OMStCRKRPwmB9I1KLZNwGdjBn0Mb2ih5uggflWfIjxz27vVtjErIW6XTCoNrZj2ZfFER9NZnx7LXC6KIpYwqZlHBrUkSQSk8l1ug5JVomA5jmE+4TiohfyVK+KVkk5kJI8V9I1X07UVV9OVYPKq3EwHGhODrJ4jKIKs8uvowQI9ahPx0QKtsTwiVJ0YTAgbTXM6MAtJ5KvuMZ04VNu25jzwTXugcTs0k4R7Qi0h+aOYa0/n9PYoG2vndiPzDvpMJe5SqUQwGGT79u2EQiHC4TB1dXV0dXVxxhlnkMvlGBgYYO/evcRiMY+4k8nksqp6jwd+58na5/Pxpje9ia9+9as0Nzfzla98ZV7+4IshMHPj3dLpNKtXr57RW7ySxxrTxnik6xF0S6c+XD/r984ETdc4cvgIsViMtWvXki/k6enpwT9eLZ6Ilvd8YOgGmUwGgLq6OgKBAIZu0JnvZFAbpN1uR7EUNFsjEJzqRpQIG2xvH2b/gLOPHfab2IrM6Nom4n2jhEcd4ZmQcPZhhU0wuLCd8MnEbRiGF2gT8Psdf+hFOCFNl0NtmgYZI4uMTEyKOvv2CxwPyraE33DWwoQssP02JVGiZBTxywGCUnDmro9lEx7N49NMMnUJDgdaFlRNV4KZDjQ5LYcmNKJylJA/iOLzEcZkfWiElBzlgNrISn2YYKKyF6yShLXFhtv1kSWl6vfpxA7NxBVCRVPR4o3E15zKG9fFaKjQjawc5cSdz+dJJpNs2rQJSZImJGjZtk0kEqGhoYG1a9diGIYXsPGb3/wGRVG8EKn6+vrXxA72cX+Gl19+Oc8++yzpdJra2lp+7/d+j89//vO0tbXN+DO7du3i5z//+YSvvec97+Gf//mfK3rMa6+91vv/8/UHnxyRWQ3Kd7jr6urmdB+bi6wPZQ7xs76fEfVNv5Y1F4qFIkPDQ9iWzYqVKwgGgqQH0+Tzeadlucgq76WCsAXZXBa1pBKLxRz9geQo4o+YR7CCFufWnIuwHIFaLpfDHDMJBUOOCUvw2C63GwRyZCjOaMGZYyNJZNsd4Vm8b5S8JJB9zg1w0Z7DeHfDtm1nRW28g+NV3LJDKIslRBKyoCgXichhQlJ4gv+zIisovuqV5bqujxu5yPgDE8cClrDQbJWiXcCy7CnKcl9BJTJawIgGOdLSzsAiV9OVwO0eFcw8OjpJXwIZGcPVDIy/Li3BPAW/n65CA7WjeeoS2qwrhUul+J4JbjU91WRmfnBXCGXZxl/UyTWuob55BRuDQwz3pFGjUW8Vq5rnJ4SgUCjQ3NzM+vXrJ6Ss6brO/v37vSrf3XiQZZmWlhba2tq8WMt0Os2+fftQVZX6+nov1nIxcxuWU7Fy3Mn6DW94A5/85CdpbW2lt7eXj370o3R0dPDEE0/M+nPXXXcdf/M3f+P9eb45o+Fw+LhW1iMjI+zfvx9Jkmbc4a70sSxh8VTqKV4YeYH6UH3VPs+mYZJOOy3vWCyGbjg7nl3dXdiWTSgYWr4t70koFUvkcjkCgQANjQ3ezUK1VfaX9pOUk6yOrHa+WYaY39nlNk0TTdUoFopkMhkCgfFd7mAIRZFZ35glFTToGokT8RvIMmSTYTKmTms6D7JSwXZ6ZbAs0yO5YOiY4GiyaMwlbll2TFPmS9zHhGRRguOWqlMEaoaJLY5Zn84W3CAQaKqKaTpKdX/AP6WdrkiKpy4vV5YXzRx1YyZ+W2G4sZajvhbsJa6mZ4JlmWSMLAKbumCdp1afmP/svC5+WWd1RGOwlOBoLkR7OEsgOPUDM99Ryfyfw7GYy9lMZqqGbWGXVIotmzn3lPVsbfAhSy3e4XdkZIT+/n7C4TCxWIx4PD5rq9+2bQqFAmvWrGHFihUTyDCTyfDiiy8SiUQ455xznEjR8cMs4I0qZFmmtrZ2Sqxlf38/e/fuJR6Pe8SdSCSWFeEuBMedrD/84Q97/3/16tV84hOf4IorrsAwjFnbRJFIhJaWlgU//kIq62rI2nUfGx0dZe3atbS3t1f8oZ3usQpGgf/s+U9G1BGawtVFwwkhGB0ZZXh42Gl5r1vr2YZ2d3Xj8/kc0cur4E1tmiaZTAbbskkmk473+DjGzDGOlI6wIrCCxuD0q2s+nw9fzEc0FnXmuKqGWnKsT10TlsaYRSTgzLEttYSwVKINtYzVJKnpHESZRXhWCY4JyGY3BplO7T3finsuIVn5PNf2XLFmtj61bAu15JgEhcOhiqo4V1mezAtCGYN8LMS+RJK0XUedGKFdKuCXAiy4J18hhBAYuk7WzuFXfCT8tVM+A9NbwprU+YYoEqKzWEO9lqc+ceyA4VqqLnRUUikWw5d8Wlgmqmoh1mzj0m2raSlre7tmRY2NjZimSS6XI5fLMTg4iN/v9yrucPhY8psbb7l58+YJ8ZauCdTRo0fZsGHDlP1q27a9GXc5cbvkHYlEWLt2LWvXrkXXdYaGhkin0zz99NNeu7ypqYn6+vpX9TrYCW30j4yMcO+993LBBRfMOc+59957ueeee2hpaeGyyy7j05/+9Lyq6/lmWrvVbrn72XSwLIujR4967mPnnXde1aKSyZX1QGGAH3f/uOK1rHIUC+MqbwlWrFhBKBzCsizGxsbIZDKeqENRFKRZ8mVPNIQQ5PN5Z2c6GiUei0/oAPSqvQyZQ2wKbyLqq2wdT1EUb5fbtmw0TaOklsjmsiiKQoPcR5+xgkCoBlmxMBWZkQ3NJLuGCJSmCs8qgefDrCj4qjAGmZm4BbKszFhxC2FTsAuYduVCMlmSkWexPgWBaVj4/NXNRCXDJDrstLeHW+o4KjdhI7NNHkaRVDRhTlSWVxg2Mh9YloVmqBQpEQqEKkoTm2wJG7BtwlqadClJZjRIcySDbJvOKt8SReiWw20bL9RJbTpIhkHGUqg7ZSuXbFlBZJYQDp/PR21tLbW1tV7lnM87+hfAI22fz8eOHTsmxFsWCgVeeOEFhBCce+65xGJT/x3Kn5d7X3TjRN0/u8Tt8/mmbZfv3bsXTdMmqMuPx7/RYuKEkPXHP/5x/umf/olisch5553HD3/4w1m//+qrr2b16tW0tbXx/PPP8/GPf5x9+/bx7W9/u+rHjkQiFArV+wiXz1WmO52Vx2kGg8F5uY+VP5Z7MHhx5EWeHHiS2lBtxWtZ4LS8U+kUxWKRhvoGamprANA1nYGBAUzTpKW1xVt9muASFg4tqxOopmpkshl8io+GhoYpxiCH1cPoQmdbZNuc60czQVZkb5fb0B0xS0CRWF3TRX+hhdFcgnhY4PMpjK5pJNE/Snikcscz98YKVeY0T3etcxC361VuC5uslUWWZJK+mnlVeeXWp+4M0bZsb1brBonM+n4py5pWkxH6IvUMkKSBfNlseqKyfHLYSFAKzvvfthzuXFe3dDRZJeqLzitN7FhVp7AmVGQkq9BTqCPhy1LjV8dtRBfuLDcTqsnMrhZC1RnxhTnl9C1cuKYZpQqPflmWPVvR1tZWSqUSIyMjpNNpEokEhw8f9kRhrs3zihUr2LBhQ0WfCfd7yu/Hx3LAzQnK/una5el0mt7eXl5++WXi8bhH3DO1y5dTt3FR8qw/8YlP8PnPf37W79m7dy9btmwBYGhoiJGREY4ePcpf//Vfk0wm+eEPf1jxC/PYY49x8cUXc/DgQdavX1/VtV599dVs3ryZj3zkI1X9nGVZ/PznP+eiiy6a8uHI5/Ps37+fYrHI+vXraWlpWdA/8jPPPEN9Uz377H0czR2lPlRf8e9zLUtHhkeIxWM0NTYhKw75F/LObMddC5rwc+MuYSW1hK479pBuq6tae8/FgmVZZDNZDMMgnohPEeWptsqB4gESSoJVwVWLEvzhHgzi8bi3y62qGl3DfnpGnX3sYMB5/RKZEvG+UcyQf0bHMyEEpmFgjlu2LqUi2BY2lum4d1lYlCgRUkLE/AvPoHZFaODoPlwhnG1ZWLaFKPehVuRjCU2aQWQ4h+VXyNQlOEojNjKrZsibngw3bMSwdQRiXFkewD+PFDBX8GVhoykaMSXqxaEuBG42t2Qo9JkNKAGbxsAo0nhm+XyiT2eCV00D/sD8MrNng1EyyIaj7Dp7O1uaahf8+1RV9Spqy7IYHBwklUqRyWSQJInm5mZWrVq1KLNlt8Bx/xcmtsvLle66rjM4OEg6nWZoaAifz+cRd3m73OfzLZvCZVHIenBwkOHh4Vm/Z926ddO2g3t6eli5ciVPPPEE559/fkWP5wqkHnnkES655JKqrvXaa6+lvr6em266qaqfE0Lw05/+lAsuuMBrnxiGwZEjR+jr66O9vZ21a9cuyszol//zS160XyQUC5EMJiv+uUK+QCqdQpZkmpubCYVDCFt47SC37T0XqbkuYWpJRdM1x94z7BD3cVmREJAv5Mnn84TDYRLxxJRrzpgZDpcO0x5opylY3Qx/JuSyOVRVpba2dsphBiBT8PPKQBwsFYRDXFHdpqk/AwH/FMczlxwkyamCj1dykG5r5Mw8IUIotmP/ODkdrFK45OBWcTO1Dt0K3xonKEWSiGU1grpJqS7GQLCWAWpoIEuLkp/X83KV5YYwsISNT/IRkoNzepaXq6Rtn42GRlyJV9WpmvGaxtPXXO2BMC1GMwGGgklawzmisubN/23brij6dCYsZTWNEBRKNlZtiMvOP4Om6MIPeG685datW73rTafTvPzyy17FOzIywvDwMLIse6tYbqLfQjC5XQ7HquTyTpDbxXSr/8HBQXRd99TlbW1t8xYzLzYW5c7rvsjzgftCujumleDZZ58FoLW1terHm+/MutyspNx9LB6Pe+5ji4Ej2SP8PPtzaiO1FRO1oRukB9MUi0UaGxpJ1jg/55g+OKYnhmk4lWIFh9dylzAhnIpbUzWG8kOV+3LPE7quO6duJOrr6idYiLroU/tIG2k2hjcS8y38pmJbNmNjYwCOQc0Mh5lk1OC0VRn2p2owzQg+RUf3GXS3JmjqGcUnyYiws8ft2jv6/QtfoakGbrRleWKWEDamaWHqBgZ6xcRtGIbnpBYMBmcliPLWvFJQCY/kUP0KfXVRen0tCKGwXhogrMzfq2AmZbnjWa4QkINTPMvLd45tv2OXmvQlF2UWfmxN6thYQ/Ip1NUZJMZSdFqNhCMhWpXczNGn4wY1s5HTbFGWiwFh2eQ0iWh7iMvPOZeIb+HdhkKhQF1dnRdvaZom+/btI51Os2XLFu/evWLFCq+YGBwc5JVXXplAlg0NDQSD1V9Pte3yuro6GhoaPG2M2y6PRCLLhqwXpbKuFL/+9a95+umned3rXkdtbS2HDh3i05/+NKlUipdeeolgMEhvby8XX3wxd999N+eccw6HDh3ivvvu49JLL6W+vp7nn3+eD3/4w6xYsWLK7nUluPHGGxkcHORLX/pS1T/7i1/8go0bN9LT04NhGGzcuHGC+9hCYAmLp1NP8/zw8+ijOuFQmPr62c1OhC28k2kikaCxsdFreTvtW5V0Oo2bN7tQCOFYJpbUEpqqOUKaaXy55wPbssnmsmiqRjw+nn876WV159OarbEpsmlRKiPTMBkdHSUUChFPxCv6GcuWODSYIFMKEvE7vuK2bpDsTKPkVfSAYyjjttCOx9zLTYayhU3Cl5ix3eoSt5O8JKb1hHaraWE7t4ZAsMI9YcsiMlJAMUyKdTFS/hoGSFInMtRbo57N5EKCTWZ6TrrQ0YSOaZsokoJf8iObMgiB4vOhSSqWsIgrM782FT8eAkM3EOMe3zP9+yoFlf5SgrFonJXBDGHZnPD3bifCnmWMUG2UZbUwLUFel1ixycfv77gQ3wIjUV2yczuNkiQxNjbGiy++SCgUYtu2bbN6TLg72K4BSjab9e5tjY2NRKPRJWmXAxNa5e5783h2xObCcRWYRSIRvv3tb3PzzTdTKBRobW3lTW96EzfddJN3ejIMg3379nnrVYFAgJ/85CfcdtttFAoFVq5cyZVXXll1G7v8GuZTWWuahm3b7Nu3b1b3sfmgaBb5z+7/ZFgdpinSxEBmwLtRzgT39CdLMitXrSQUGm95j8deZrIZRkdGCQaDizLLBae74Np7ur7cJdURkLgK2FCoeuIuFovksjmCwaB34JgM3dbZV9xHTImxNbJ1UZ6Tu6udSCQIhauwxZQFG5sy9Gci9IzGiPgNUBQGWpPUDEokczq6X/FutMfSsJaGuC1hkTOzKLKPpDK7DaPTkndXkcR4EpMxXn3KjpuX7Ww8SDIV7wn7cyUimSJaNMhYXR1dNIzvTacJKRb4gtNXllVGWc70nIJSiCAhhCzQTJWiWcLCwqf4sGwLv+Qj4Vu4RaUQNrrmjDaCc6iJrWiI5kCRmtECR6wWkuESLcqxtdEZ4yx1Z87tEsl8oyzngmrI2LbOtjMTnLvmnAV3G1wl+Pr16z019qFDhzh69Cjr169n9erVFVmTxmIxz1VR05zAnsHBQQ4fPuzdIxobG6mpqZkXkbo/U74iW151l1flw8PDsxp2HU8c18p6OeAf/uEf+OUvf8ldd91V0feXu48BbN68eVH2vV2ki2ke6X4ESZKI+53KLjWQcmY4TVNHC4ZukE6nKZaclndNTY1nlwjOyXRoaIhiqUgwEDw+BifCsS5VVWfOLcmSpyqfbW3NNMZ3pm2bRDIxY7sra2Y5rB6m1d9Kc7B5US45m8miaRq1dbULauePFQK81BNGWEWiYT/BYJDwSJ5k3yhGyI8NXvVk24srNgLHrS1nZQnKISLK/Nt1lmWiaRpC4K0nhkJB54Axy5vIyZrOIduCQkOctJyoeDZdXllC9clPk+HsTRvYwsLvD4DsaBvA/RhI+GX/7Nans8DtOCiKUl2VK2x8IyWOyE2o0RCrfaME5JnHAe5sWpJA2DgJaovYjRACirpC2Jdhyzkr2NF8+oLfi6Zpoqqql3VQKBR48cUXsSyLHTt2EI9X1rWaDZZlMTIy4lXdtm1PaJcvRufBJe2hoSE++MEPksvl5tXBXQr87huqTkI1lbW7WiBJEqeeeir79+9ftDmtEIKXRl7iidQT1ARqCCjHSG3a+MpJLe91a9chKzKWbYHAsdk0TVIDKW/GeNwgObO0YDBIMpFE151W+djoGEg4xB0aJ27JeS65XI5iqUgs6pyiZ+KDlJqi3+xnQ2jDos2nR8dGkSSJhsaFjTA0TcMoDLKuJsiAuhohKYBFqS6GGfRTd3QQS1GQ/X6g3FRjZrORqh7f1ihYhQWpmsvFV35/AMuyHLtZWcI0LYRhIEvjNqSTiNvNmlYTEfKxGF2irioXsjmjLKuwPp3sh20Ji6yZJSyHvdUsS1iotkrBKmBbNgHZT0AKEqhAWX7MOnQeGgRJxqyPsi4/xNhYkEPxZpoCBeqVieZMQtjjhw3bC98QQjiKe2txuhGmkChpMs2RFBsvOI1NyS1V/47JcLUNp556KvF4nJ6eHvbv3097ezsbNmxYtA5kuR+4EIJsNsvg4CCdnZ289NJL1NTUeH8/3zmzJEk8/vjjXHfddZxxxhk8+OCDi3Lti4HXHFlHo9E5HcxKpRIHDhxgbGyMdevW0dbW5lVEixGTadgGP+/7OUeyR2gINUw51UqS5JDwOPL5POlUGkVRpra8Jaddk8/nGRwaxO/zn7BVK+finbZdIBiABOiGjlpSGcuMIWyB3+/33OoaGxpnvFbbtunUOilaRbZGtlZ0Q50LpmEyMjpCJBwhFp8/8ZfP190YzkZ7jMODSbKlAGG/gRENMrShhdoyx7PJphpOS9hCmyPGcjq4jmRJX8ITklWLY3anihN+YuhTAicEAsu0nDm37rT0/ZYgkSkiZIVcSy2DUpwBkRz39J6f0nu65CfDMBFzWJ86BGd61bSiKJ6takyJTXjfKJJCVImC4hC3buuU7BJ5K49P9hGUAgSkwJTHcARJBv7AwtrRRixMLGhy6tAhXomvIhMOsUoawSfPHGUpSRKKz4d7PnC7EYauY1BdN0K1FSTVZHVjHxvPuYhVrh3vAqCqKrIsc/rppyPLMs8++yy5XI7TTjttTs3NQiBJEslkkmQyyYYNGyiVSl7FfeDAASKRiEfclSZ06brO3/3d3/HP//zPfO5zn+N973vfsplXw2uQrGerrC3LorOzk+7ublpaWqa4jy1GTGZWz/Jw18OUjBKN4ekV9LIkYwoTQzdIpVOUSiVnRpOc2PJ25ooSg4OD5PN5J9JyGS3xIzmag0AgQMSMkBnLoI/PRg3DIJ/PEwqHprTrdVtnf3E/ESXCtsi2RZ1PT7Yonc/vyWazBEMT5+s+WbCxaYy+sSi9Y1EnCCTgY3h9CzXdQwQKmmOgMo5jZiMzxFjOQNzlQrL5RFu6v8Ot4Pz+AAgxY+CEhCOU8/l8YNsERnME8hq5eJBCNEKvaADJN15NL07e+2TTl/J5rixLHkEJYY9/7RjBlawSJbs05yFGkRTCSpgwYWxXoGbrFEQRRVI8IxZ3b32xPL6F34fRHGPbSBf9ag37Es20MEjUNirKLp9vDnXO8lOrZalZO8YpO36PluDCR3nl8ZaZTIaXXnqJuro6zj///OOWMOYiHA6zatUqVq1ahWmaDA8PMzg4yDPPPIMsyzQ0NEzZoS7HoUOHeNe73kWpVOKJJ57g1FNPPa7XXwlek2Q9ubIWQpBOpzl48OCs7mMLrayPZI/wWM9jRPwRakI1s36vWlI5cuQIiWSCdevWOQeFspa3IjspYL3dvViWdXzb3tVAOJ2BfCFPJByhrq4OSZYwdANVU8lmso6PcihIOBRGV3QOagdp87ct7nxad6wG59t1ME2TbCaLZVnU1NZM+3pLErTXFogEDQ6mawgqJj4FRlc3Ek+NERnKORalkw4f08VYOq5kzjqjIjviNGTImTl8skJ8DiHZbM/DdR0LBkKYhoFl23OSkaKOZ00HfORX1jMs4vSToNYao8EYRULCWGSVNxwjbq8bMZ61bBqOstq1mJQkibyVx7CNqlezZEkmJIUIySFnLCB0VFsjb+aRkAj7wghpEaU9sozakKAxmyOZGmNv/RriwQQrpLGqfs30OdQmtiG8Q40k+ygSZK3aBzsEp224lDp/dZbF06FQKJBIJNi0aRMHDx4klUqxZcuWBRtCLQZ8Ph/Nzc00Nzdj2zaZTMaruF944QXq6uoYGBhgy5YtrFmzht27d3PDDTdw9dVX8w//8A/LZlVrMl6TZF1eWVfjPjbfytoWNk+nnua54eectKyZWmnjxDYyOgLAqlWrCIaCU1resixTKBZIDaRQfMqC16aWCpqmkc1knZNtfcOE9TF/wElpisfjmIYjTunMdjJoDbImsIakkpzTh30u2JazvynLMo0NjfMT25UdNqLRKHWxujl/T21E9/KxVVMm5LPItdRgBH0ke0cxg36YJVpxMnHbloVqqBRFgaAcIixHqn5djoWHCAKBALIio2vj9qeh4MwiMtsmPJLHrxoU6+MUgyFvNr1RShMK2EAYa7yl7xwwFn89C/BiW23bHt8Tl7Fsx9O9KBWQJHnBO9SSJDmZ3KYgJIeQfNKiW5+6OoGSXybUqHD2yEEOxdp5JdrEGnuEyKQVr0pwbN3I0UbYlk3JktA1m63GC2TOSHLOyt9fMFGXx1s2NDTwm9/8hkAgwHnnnTfrStaJgms5Wltby6ZNm7y1sL//+7/nkUceIRaLYRgGf/d3f8f111+/rNrek/GaU4M/9dRTvPWtb+Xxxx+np6eHbDbLihUrWLNmzZzisZdeeoloNMqaNWsqfrySWeInPT9hsDRIbXBqqo8LXddJp9OoJZVoNIppmqxYuWJCy9u9gQ8ND5EZyxAILrO29zgm7Ewn4nOeVMvn0+sC67A1x4PatKbPnq4Euq4zNja2oPm0a9AiSzLJmmTV4kLTkjg0mCSn+gn7HXWvv6BR2zWILSsIf2Wk4grJInIExVaOuYRNs5c7Hcqdr3x+H8IWFamafQWNyGgeIxykVBthSMQqUnrbto1lmljjXajFyOSe3Lr3DjPjQjIFhbAITbE+rVbc5Ci+tSmze+exjlmf2ggCsjPjrkZPUR5lGQiMO6/ZNpHhPGMixIG6VdRJeVrnOft3kRcBolqJLf4j9J3axCb/aZgF01uNisfjVe8su6tZK1as8AKL1q1bx5o1a5blfWg2PPXUU/zZn/0Z4XCY9evX89///d/U1tZy2WWX8clPfpL29vYTfYlT8JqrrIPBIKOjo5xxxhlce+21fOxjH6vYfazaNni6mObR7kcRiBnTsoQtGB4eZmRkhGQySeu6VvK5vBcD6ba8ZUXGNEz6+/vRDX1Bc9clgxjfmc7lpsx0Z4Ju6xwoHiCkhNga2erc0AMQi8ewTIuSWpqQPR0Ohee0TC0Wi+RzeZI1yXmNB4TtKE1VVXUMWqLza4v5FMGm5jF6x6L0jc+xHeFZK3Wd6YqiNotWAdXWjs1gFSaJsJy93GPzymPq6emcrzxVs8+PMsPhQ7IswsN5FNMi35hA9QfLlN4Dc86mZVlGDgQm5EFPFzRSKWYSX7lra6EyxXf5Y1arLD+m+J5+dqxIPqKKD5TouPWpRsmaW6DmYsYoS1mm2Jggli1y1sBe9jasZT+NrJGGZ13xmg62gBwhVqlpWhNpRs7YwBvqXkdQdvbcSyVHu+GG+bjEHYvFZj3YuPGWK1euJJ1OY5omZ5999rzDik4UTNPk//2//8cXvvAFPv3pT/OXf/mXKIqCpmn87Gc/4/vf//6yTeN6TVXWv/zlL3nPe97DSy+9xL/8y7/wx3/8x1Wd9vfv348kSWzcuHHO77WExYMHH2RUG6U2WEvIN+kNII4Zmyg+heamZq/lXSwVHau7cIREIkEikUDTNPoH+r353XKDoRtks1lsYZNMJB01+BzIm3kOqAdo8bfQGpzdOtYyLWePW1UxTMMj7mAw6B0IhBBkMhkMw6Cutm5e8+lSqUQumyMQCJBIJOY8bFSKkUKAQ4PuHFsgWcIRnhW1aaM2XSGZwJ7TdcslJ9uysMeDI9yvlztfuarm2ebTgVyRUKaEFguhJcMM2TEGSNJIjuYFVntu0Mhk97SZOgNC2Oj69Lnfuq2Tt/JElSjBWdbWpnttpttzr+S1me156UJHt3VMYY5bnwYISEFkSZ4QZTmXI5asG0QHc/TE6umOtdDCGA1KZaumhpApCT87i4eRVxgUt27mnOS5M+6Ua5rm5VBrmkY4HPaIu1xY6+5Q19fX09/fT1tbGxs3blw2AReVore3l3e/+9309fVxzz33cN55553oS6oKrwmyHhsb4wMf+ADf+c53+MAHPsDnPvc5hoeHq1YsHjx4EMuy2Lx5c0Xfb9omvYVeXhh+gXQxjSRJJIIJLMMinUqjqqq3WjBZ5W3bNrlcjmwuy9joGLZtHwtzXyRHssWAsAXZXJZSqeQ4D0Vn3pkuR1pL02v0sj60noSvutO5ZVloqmPCohs6AX8Af8CPWlLx+/1OXm6VL5FlWmSyGUzTJJlYmGJ8JpR0hX2pWmwBIZ8jFoynxogO5TDKhGeuI5lP9hGVY1W1GN3qUAhAgKw4QiNh29hCEAxOX/mVZ00X6uNoSoCjog6BzCppaNGU3i5c9zTHalMgSzKKT/F2uS3TRB8Xwvn9/gmvgWqVKNqlqsM4yvfcy0M13NcmEAws3IpU2OjCifg0bRNskG2JiC9CwF/he8q2iQzlMGyZFxvW4ZdsVknD+Ga5tKLwo9gW5xX2kzolRGDdVs6In1Hx/N40TY+4i8UigUCAeDzuKdT9fj+qqrJt2zYaGhoqex7LBEIIfvCDH/D+97+fSy+9lH/6p38imaw8IGm54DVB1pqm8YlPfIKPfOQj3m5eT09P1S2cI0eOUCqV2Lp1a9XXUDAK7B/dz38f+m8Gxwapj9ezsmWlFw5SrvJ2qznLtBgYGKBQKDhZwpqKYRgVt4OXGm4V6vP7SCaSFVWytm1zVDtKwS6wMbxx1qqoEtiWTS6fY2x0DFmWiUQjTsUdClZ28heOsjWXzxEJR4jH40v6mpqWxMHBJPmyOXZorECyZwQr6MeQnAzqcjOPSjDR3MTvqadN03R8voXwvMonC7+CYwUnazoRRk9EGLQipKihkeyCq+lKr91zM7NsbGEjSRAMTs1VL1gFdFsn4UssSEjmPqaua9i2k1PurNItjijOraYtnKQvUxhUK1ALZIuEsiX2N6xkyJ9klTRCQp4YeCQEZAnRZGc4vXSIA6fV07BiO9uj2+d98LAsi0KhwMjICMVikdraWuLxOBs2bKCpqWlZi7Amo1gscuONN/LAAw/wT//0T7z97W9/1c3XXbwmyLocLtnt37+/atvQo0ePksvl2L59e1U/J4TwVgeCwSB1q+s4oh7hSPaIE7wQSBBUnPabSxRqSaW/vx9ggorarSpLaumEEbe7xmRa1VWhuq1zsHQQv+RnfWj9onzoi4Ui+bwznw74A1Vlchu6QSbj2FEmk8njpqoXArpHYwxkIkQCBrIE/qJG9HAvBUklFEzMQ7Q0HsUZ8Hs36XJ7TJ/P5/lyW7blCJwsQSJTQvgUivUxNMm/pNX0nM9jvJp2M4ht2/ZUzoqikLfzCARxJb4oFbCmObvJ/kBgUa1PZ4qynE82t6wZxAZzjERj7E+sJI5GuzSGLIMpZPIE2ap3s4ohXjqjkXVNO9kU2VT9CzIJhUKBXC6HoiisXr0ay7IYGhrCMAxvZ3mxLD6XCi+88ALXXHMNiUSCe+65hw0bNpzoS1oQTihZa5rGueeey3PPPcczzzzDzp07Z/xeVVW54YYb2LNnD5qmcckll/C1r32N5ubqd3EDgQBPP/0069atq+rnenp6GBkZqWphvlAosH//fvL5PBs2bKClpcWreDRLo6fQw8uZl8kaWRRZIelPkslkGBoacuZbs8xMjztxC8jlcxQKBaKRKLF45S3aglnggHqAJn8TbcGFG+O782nTMKmtq51yUxW28Gbcmq7h9/m9XW5Zlj2703jMUcUeFw/1SRgpBDk0mCCoWOTEKJqa5ZQ+Gb8lzSk8g4nVdCAw0QZzVrGUbRMcyeEv6GTjQfSIn1G5hiGllibyx6WannA540rv6WbTlmVhmAY5kcOHj5gSw+dTZs2vnvPxxhXfPp9/Wv2HZVvYpoU1nspUqeq+XNAXCARmPYy6AjUnm9vCJ/kIykEC02Vz2zbRoRzCsnmlaQ0FQrRIWYKSydnqASIhg5dOb2R7/VmsDi3clWx4eJhcLkdrays7duzwtjmEcGyCBwcHSafTFAoFamtrPaew5bK6Zds23/jGN/jMZz7Dhz70If76r/96WR8qKsUJJesPfehDHDhwgIcffnhOsn7ve9/Lj370I+68806SyST/9//+X2RZ5pe//GXVj1tTU8MjjzzCtm3bqvq5vr4+UqkUp59++pzfa5omnZ2d9PT00NbWxtq1a1GUY2s3rtjEvTGNaWO8PPQyjx98nFwxRyLoVNuVYqmJ29uZVmSSyerWmAa1QXqMHtYG11Ljr1nwtVimxejoKD6/j5pkzZxEK2yBqjkhI1qZ0chs4SHHC3lV5le9NqawWRGuQxGQ7B4mmFcxQ37HaWUalFuF+gO+CTd4h8DNacVSSkknOpLHDPoo1sXQ8dEparAsaLdTBDAXHKhRDWabTYO7mpUhJIcJSAFHoGZbzHeXey7F92S4AjX3c3ssQW2iS9hCoiwdgZo2LlBziNv1LS/vIAQzBQI5lYMNKwn6LS4pPY/WEGTftnrOrD13TpHmXBBCePG/O3fu9CIuZ0K5xefo6CixWMwj7ng8fkLazYODg7z3ve/l+eef55vf/Ca7du161ba9J+OEyYoffvhhHn30UR566CEefvjhWb83k8lwxx13cN999/HGN74RgH//93/nlFNO4Ve/+lXVqr7pXMwqgTdfngXlbmihUIgzzzyTaDTqxa+5+9K+SXunftOPr9fHhf4LKdQXOFg6yLA5jIxMRInMOZ9TFIVINEIkGvGIu1gqkslWvvI0HSzLIpfNoes68XiccKS603NnqZOslWVrZOuC59MAuqYzlhkjFo1VvFIlyRKBQAC1pDpuVaGQF3ivKAqhUIhwKLwomd/VQLd1Os39rG6OY2ZPI6/7iQZMxlY1EE9liAxlMEPBCY5ns1WhAoGh6eNBLqGJNynLJjKaR9FMCvUxrFBg4mw6kAf8WLY80cKywqqyWhx7HmJGm03D1slZeaJKhKDsbFMogbJIyfF5PFS2yz3bIWYmTLY+negS5vydo26ff5Sl46AWJiSHJwjUilYJRZLxSwGCcpBCIs5QKMlFvc+xMjBK36kr6NxQw3nJ82kILEz0pWkanZ2dJBIJ/tf/+l8VCbDKLT4Nw/CiLI8ePep4/48Td21t7ZLPuYUQ/PSnP+W6667j3HPP5dlnn33VCeHmwgkh61QqxXXXXcd3v/vdiqzdfvvb32IYBr/3e7/nfW3Lli2sWrWKJ598cl5kPZ9Ma7cyngluy9vNdG1pafFIGvA+9JPfuKlUyptnRyNRokRpCjSh2ip9Wh+H1EPkzTx+2V9RDGI5cduWYzBSNXGPC69c/+7GxsaqiN60TfYX9+OX/WyPbF+UD2s+n6dYKFJTWzNr9OYElO1+h8IhGmvKnkdZJvfw8LCTyR0OEQpWn8ldLYpmkf3qfpr9zbQGW7GjY/SMxBjIRogGDHItSYyQn2TPMFbQj1DkCVahgcBEMnZnsLIsT+kW+PMlwmNFjGiQXGsNOj66rOn3pqcP1HB3uatLwpoJE55HMDDtIUC1VIp2cUbFd7W73LquO7a2kw8xVWCyS5hhmM5nWzgHQtuykZAW9F53srmDBAmC4hxYNKGTNlUkNE4XR6iv1+la107/pgb+V+LCqrcpJmNkZITe3l42bdrEWWedNa+Oit/vp7W1ldbWVmzbZmRkhHQ6zYsvvoht2xPm3Iu9eqppGn/zN3/Dv/zLv/DFL36R97znPa8qEVylOO5kLYTgne98J3/xF3/BWWedRWdn55w/MzAwQCAQcFZyytDc3MzAwEDV1xAOhxe1si5vebe3t7Njxw5k2bm5TtfydmFZFocOHSKdThOJRKa8wUJyiHXhdawNrWXMGqNT7aRP68PGJqpE8VWQtiQrctXEres62UwWgNq62sqJcRxFs8gB9QAN/gbagwt3AhJCMDY6hmVZNDQ0VLz77OVlC3v65yE5VpvBUPBYJndJZWRkBEmWPFV5tc9/LgzpQ3Rr3awNHRsLyBKsqs8TCRgcHkoS8pmoNRGsoI+aI2kM1cRU5GmrN8t2Upgmu245WdN5JNsm35TADvirUnpPW1UaJvYcSVgzYbLl6Uyk4Ci+tYqtQ6e9Tt3AwInMtIXldVQWA5OjLN37wuQglvnGWJbDJwUoSglWygVOLeyl4C/y8JkBYjV+3pp8/QIzzC16enooFAq87nWvY+3atQu6VhducEZDQ8OEKMvDhw/z4osvUldX51XdC/03OXDgANdccw2mafKrX/2qavHvqwmLRtaf+MQn+PznPz/r9+zdu5dHH32UXC7HjTfeuFgPXTUWq7IWQpBKpTh48CCRSISzzjqLSCQyoeXtrstMJmJVVXnppZfQNM3Jc54FkiRR66ulNlbL9sh2UkaKg6WDZM0skiQRlaMVqWPnIu5gIIhhGmiqc03zEV4N6UN0692LOp8eGR0h4A9QW1tb0fUIIcjn8hSKhTnzsj2UZ3KLpEPcqjoxkzscIuAPLEiM1qP2MGwOsyW6hbA8daTQENeIBEfYP1CDZgo0WTDWEqUtVSAqwJpM1OOz68kt8UC2SDhbRE2E0RJRdFumy6rDQqrIhWwyvKrS78ce954+loQ1vdFIObyZrqLgm6GaLjeCSc4zUWzCddrOe9z5Cxtd06fN5a4GbgU/2U1tuiCW+cRYlsMQMgUCbLH72VjsZWxVA30batgYiHJe4jxC8vyJLp/P093dTSgU4g//8A+XbO94cpRlsVhkcHCQgYEB9u3bRzwe94g7FqtcsGrbNvfeey8f+9jH+PM//3O+8IUvLBuB21Jh0cj6hhtu4J3vfOes37Nu3Toee+wxnnzyySmturPOOos//dM/5a677prycy0tLZ7Xc3l1nUqlql6/gsWZWZcHgGzYsMFLeJmr5Q2O2vKVV17B7/dXnfDil/2sCK5gRXAFeStPt9ZNp9qJaZuElFDFc+Fy4nbn0rl8DoQTsiHLctVBGkdLR8lYGU6JnLKgG4kLTdPIjGWIxWMVv06uEE5RlFnzsmdFGXFPyOQeGwPhVOOh0NRoz9lg2zaH1cPoQmd7ZPusFVckYLKpMcVL3UFKZpDaZIJsTQ3JnmGCWRUz7AjPjinBj81gZcMkMpQDWSLbUovwKePV9OK4kIEzY5W9XO5jRiOO4M0xGnEPqBOq6VlmurawyZlZZFkhLs8vUawcbrchEAh4O+eW5YaNVN8ZcJX3tm3NGWU5e4xlZaOEovAjY3Ohvo9aq0DvmWsZqFOo9ddyduzsqsxgJj+PVCrF0NAQbW1tXHjhhcdVZBmJRFi9ejWrV69G13WGhoZIp9McOXKEYDDoEXdNTc2MreyxsTGuv/56fvrTn3LPPfdw2WWX/c6IyGbDcVeDd3V1kc1mvT/39fVxySWX8K1vfYtzzz2XFStWTPmZTCZDY2Mju3fv5sorrwRg3759bNmyZV4z67e85S1cfPHFXHvttVX9XKFQ4Omnn6a9vZ3e3l7a29tZu3at57k8W8sbxgMrOjvp7e0lGo0u2lzFFjZDxhCH1cMMGUMARJVoRS1E0zQ9H/JEMoHf5/d2lStVlZu2yYHSAWRJZkNow4JbfwD5XJ5iqUhtTW1F82Pbsslms2iaRiKRqFoIVyl03SFuVVMRtnBm3HMQd3k+99rg2jm1ArlcjkKxQCQaY0RrIZ1z5tgSEBvMEE1lKCogJOnYzNe2CWZLjrlJTQQ9FnaqaeFU06ul4SXfmxZCTNrlxgvVmE7p7cJVfAflIBGlMp/+2WCZJoY5tdsw4XvGiduyLe+AMdNKmKsgd5T3Mz+PuTCT9Wn5gcH19m4iy+nFw1iJAL071zDsK9EebOf02Onz3jFXVZW+vj5M02T9+vWcdtppy8a62LIsb849NDSEEMKbcycSCcLhMEIIfv3rX/Oud72LDRs2cPfdd9PWtvA10FcLjvu/1KpVqyb82W0Br1+/3iPq3t5eLr74Yu6++27OOecckskk7373u/nIRz5CXV0diUSCD3zgA5x//vnz8nedTxtcCCdww7UBrablDU7Ft3fvXgqFQlXtnkogSzJNgaapojQrj1/yE5bDUx6vvFUcjUaJx+Ie2VQz4y6aRQ6UDlDvr2dFaOpBq1oIIciMZbAsi8aGykRtxWKRXLby8JCFIBAIOL7hJGbM5A4GjxG3u1/uCslmg645KV/lXYFEPE80aNI5lCDkN8k2JMiYOs3pPETDCCQU1SAyksPy+8i21YCsHHcXMnCT4XxIko0wbG/VybX3nG6Oa9gGOStHRI4QUhbejZmu2zAdpmtba9rEeE9pQvdi4h77fDDrKEGSsJQAuhJiu+hlXaGfoU2tDK1tYszOsCG8ga2RrfO+bwwPD5NOp4nFYmzdupVNmzYtKxGWoiheVe16KAwODvLyyy/zp3/6p2zdupVYLMbjjz/OX/3VX3HDDTe86rzJF4rlcayaBMMw2Ldv34RW9Ze+9CVkWebKK6+cYIoyH0Sj0ara4OUtb4DTTjsNoKKWNzidgZdffhlZlitO+JovykVpWSvLEfUIvVovNjYROYJf9qOpGplsBp/im1WdOdeMu+QrkSLFmvCaRQm0t0zndB0MBivy9y7vCtTU1hz3nenJmdwlteSEmYwTd1EukpJSE4Rk08H1V1dL6rSRoo1xlbDfZG9fHE1ViTfUMFabpO5ImuCoik81KdZFMSPBBc+mF4ry2bS/LMxlujmuJVmUKBFXYrO6eFUCgXBWwWybYDBYFamVE7e7EqapmlN1j6vrF5sYJo4SBFnLh2JpnJn5DXHJ4OUz1mI21VC0M+yI7mBduDoDJxeGYdDX14eu6zQ2NrJhwwZWr169rNvGkiRRU1NDTU0NGzdu5N/+7d/44Ac/yNDQEKZp8t3vfhchBG9961vZsmXLib7c44bXnN0owPve9z7C4TB/9Vd/Nev3mabJ4cOH6evrY8WKFaxYsYInnniC888/3zt5z9TyhmMmA52dnUQikRN2EjSFSUpPsS+3j75MH7Zl0xRvqnpe7sK2bA7lDjGsD9NqtxIPxBdswKKpGplMprJd7nIntUldgeUA0zQ5kjvCsOG8PslgcsZMbu/g5PORTCZnfI8UC0XGsiWGjbVoIkjEb6LoJo37+rAVeere9PF2IbNtL0DEH/DPOgqxbIuCUUATGhERwa/4F2TCIoQjHpMkuaK0t7ngRlm6h1hHVCrmLRSbDfa4t3erGOP0wmFKTTG6NrWQMVXGtDFOkU9hTXyNE9UaiVRFsplMhoGBASdgJxZj8+bN89L4nCgIIfje977H+9//fq644gq+/OUvUywW+eEPf8h3v/tdfvvb39LV1fU74U5WCV6TZP2xj32MfD7PF77whWn/XgjBwMAAhw4dIhqNsmnTJsLhMKZp8vjjj7NmzRpaW1unXbcqh7tnGIlETmhGqtvCHxoaIpAIUIqX6Da6MYRBUA5WJQYzbZODpYMAbAxvRBLSlBm3azJSKXHncjlKpRJ1tXVzGpO4rWJZlknWVOekdjxQLiTbHN58zPa0pGJaJsFAkFA4hN/vJ5/LO2YzifiMSlYhBNlMFt3QqaurQ5IVuoZj3hxbFoJw1yj9xTiG33dcZtOTMZMX9nQQwqZgFzBty9kPFseqbiGq3+Uu9z9f6E17tihLIWzMcfe06VLC5gNNKGj4ONXqYlVpkIFtK8msrEcXBqqtcm78XCJGxEvDcpP3EonErJoXyzoWANTc3IyiKGzdupW6uoV3v44XCoUCH//4x/nOd77DV7/6Vf7kT/5kyvvBfc+9VvCaJOubb76Zo0eP8pWvfGXK3+VyOfbv34+qqmzcuJHGxkZPGAIwNDREKpVibGyMZDJJS0sLTU1N07ZghRDk83n6+voYGnKEX6HQ1CShpUSxWKS/38nBbmlp8UjBFjbDxjCH1cMMGoMIBDElNqsorWgVOVA8QJ2/jpWhlVP+3m2VV0rcQghGR0YBqK2tnZXche3sa6qq6lQZFbqXHU+4QrKoEmVNcM2U52OZFiW1RKlYwrIsZEUmGok6FdM0z922HJc1WZanrK0N5kIcGUqgWzKjhSBt+jBrRgcci9LjNIssr6bn8sKGccW3lUNCIq7Epoi5Zrb2nJ64XcW33+dHWeBNu7oDR1lK2HjYSLU753kRIITJOaX9BIOCnjPXocdCqLaKLWwuSFwwxeykVCp5xG0YhtNViseJx+PePaVQKNDX10coFKK+vh5Zltm2bRvxeHx+L8wJwHPPPcc111xDXV0d99xzT9UZDr+reE2S9ec//3n+53/+h3/913/1vmYYBkeOHPFa3mvWrJlV5a1pGqlUilQqRSaToba2lubmZpqamqY10TBNk6GhIXp6etA0zbO5XCqYpkkqlSKfz3uWfzNVKrqt06v3cqh0CNVW8Um+KaK0EX2Eo9pRVoVWUe+vn/PxXeL2MqcnEbdpmIyOjhIKhYgnZr+RlIrOTSoQCJBIJJZUQDZf5M08B9QDtPnbaA5OHy5Tnpkdj8URQhw72PgDnnuarMje6xMOh4nFp9/Dz5Z8/PZoE9GgSSxoEMoUSXYfczxbSlRDbuAqvrME5ADRChTfnnLatrDtqcppT/EdmJ/FZ/nj6LqOBPgrOHBMhwnKctnJD59RWS4kcoRYJYbZkT9CfmUdqVPaneQzq4hf8nNB4oI541F1XXfy7sc3IEIhZ+dbVVWam5u9omDHjh0ntKtXDWzb5mtf+xp//dd/zUc+8hE+85nPLLsWd2dnJ3/7t3/LY489xsDAAG1tbbz97W/nU5/6VEXmSUIILr30Uh555BG+853vcMUVV1T82K+dHkIZyves3Zb3wYMHicVinH322YTD4TlV3sFg0PPFVVWVVCpFX18fr7zyCnV1dR5xu282n89HS0sLLS0tXrU9ODgILH61PTo66ik/169fP2erKCAHWBtay9rQWjJmhk61kx6txxOlpfSUY+QR2VJxxvJ04jS1pHpre5ZpUVtbO2uFbJmWk6xlmSSTlUdxHm9UYgRTyDvWreFweMLBabrXR0LCNM05X59E2OR1Gwc4mE5Q0PyIRARrvY/azkGELbD9i9/BKU+WCgYr89g+pvgOE6r0/TPJ2rN8l1sIp80fDIYWRNTVHjhmQiXKclmWUYUPA4WzjEO0GmP0nbGGfEsNADkzR0JJcG7i3IriUQOBAPX19dTX13vVtG3b2LZNKpWirq6OM88884QH1VSKVCrFX/zFX7B3715+9KMf8frXv35ZiuBeeeUVL9Vrw4YNvPjii1x33XUUCgVuvfXWOX/+tttum/fzek1W1nfccQe7d+/mk5/8pEfK07W851J5T4dSqUQqlWJgYIB8Pk99fT0tLS00NjZOIc3yaltVVXw+X9VK1smPPTAwgGVZtLS0zOmMNhssYZHSU7xQeIFOtZOWQAsJX6Ki3e3ZkBnLkC/kCfgDWLY1paIEQDgK/HwhTyQcIZ44MQk+laBH7WHEHGFTZNO0s3/TNMmMOZanyWRyztN3NpMll895r4/f73fc02bI5AZnl7lvLELvWIyw38BvWdQdHUQ2TKxFEFy5mA+5abZGwSosmuJb13Rsy0ZWHMMV19qzmvStaqIsFwJXWW7aNkXCxCWN87TDKDUB+k5fixl2Xo+smaXR38hZ8bOq/nwNDw8zODhIfX09DQ0N5PN5ZFkmEol4mxWNjY00NTVRU1Oz7D5HQgh+8pOf8J73vIcLL7yQ22+/nfr6uTt3ywlf/OIX+frXv87hw4dn/b5nn32Wt7zlLfzmN7+htbX1ZGVdCWzb5tlnn+XNb34zt99+O29961uRJGlOL+9KEA6HWbNmDWvWrKFYLDIwMEBnZycvv/wyDQ0NNDc309jY6CVvTa62XUOAaqpty7IYHBxkbGzM+9Au9EOpSAptwTbagm2UrBIDxgBH1CNkzEzFSWDlsC3bcQCToK21zQs+KK8oA/4Afr8fVVORkKivq1/yQI35wrZtDqmHMIXJtsi2qRVe2YGjEsV6+X65+/q44rSSWiKXz+H3+QmFphK3JEF7bZF4yOBgOoklyQyva64oarPS51ptNQ1QskqU7BJJXwKlAh/72VCu+Ha3BQTC21Uu9+SejbgXEmVZLWRZRviDaITYYA2wcewwfe0J+lbW4NeKhCQbVVFZHVrNjuiOqsxOTNOkt7cXwzBYvXo1oVCIQqFAW1sb69atQ5IkLMvyyPy5555DkiRvl7muru6E7ylrmsbNN9/Mv//7v/MP//APXHvttctq97tSZDKZOcV7xWKRq6++mq9+9avzVuS/pipr27a58847+chHPoJpmjz66KNs27bNax/N55ReKfL5vDfjLpVKNDY20tzcTENDw4QPjWmaDA8P093d7c22Z6u2M5kM6XSaYDBIS0vLoodOTEbBKtCv9XNEO4JqO5GTc3mTVzKfdnemDd0AnIpnSsW9TDCXkMzQDTKZjOOLXIFi3baclCK/3+94NE/zT+1mcmuqhqqp+BSfQ9zh0ITfr5syB9JJSrqPiN8cj9rMYoYCE6I2K8V8W8V5K49hGyR9yXk7brmoVPHttqAty3FPU2TFsz4tj+Sca7VssVASfiwhcaZ+iAYK9J6xhlJdHNuyyRfzDKvDrLBXsCm8iUQiQTwer+i+k81m6e/vJ5FI0Nzs6CMKhQJr1qxh5cqpwk9wXsOxsTEGBwdJp9MYhjEhCet4z4b37dvHu971LoQQ3HfffWzduvW4Pv5i4eDBg5x55pnceuutXHfddTN+33ve8x4sy/J0UpIkVV1Zv2bI+uDBg7zjHe+gr6+Pd77znezevZunnnpqQS3v+cBViLutcteswCXu8sfP5/P09/czODiIbduEw2GP2HVdZ2BgAE3TaG5uJpFYWEzefJAzc/TqvRxVj6ILHZ/kIyJP3AV1xWGJRIJQeHqhi1pSyeay3q6xhDRRnDZdq/wEYTYhmRCCXDZHsVQkHotXFIRi6AajY6NONGqsMsMcIZyK2yVuRVGcPfdx4rYFXtxmxG8QyRYnRG1Wgvm2ioWwyVo5JCCuxCtWR88E1+rT6XRVXp27tp6WbeHe4WRZJhDwL/ia5oIQkCNIkhJnFw5gNYTpP3U1VmB8b3tcbHd67HTa/e1ks1lv0yEcDhOPx0kkEtOm9LkrWa2trcTjcSzLolgssmXLFhobGyu8PkEulyOdTjM4OEihUKCuro6mpiYaGxuXdM5t2zbf/OY3+cu//Eve/e5387nPfW5ZCOAqDaIqN2Hp7e3l9a9/Pbt27ZogVp6M73//+9xwww0888wz3mjyJFnPgsHBQb72ta/xsY99jKeffpqrrrqKl156ySPpE9EScj80LnGbpkljYyMtLS3U1dV5N0i32u7p6aFYLHof7traWq+lfiLhODBl6da66dF6MISBX/Jj5Jzwgrq6umnnrZY1LiAzTRLx6cl8iqr8BBK3KyRbH1xPwj/xcFQeIJJMJisKEHEPMsma5PxvkGWZ3JqqTcjkzptRDqeTKLJNVFepPTqILcuIOYRn862mXRLyy35iyvz1Ei5M08RcgOJbCBtddwRpTlSmY4Hqdc8Ued470jNes5ApEGSj1c+mUg+DW1cwtqrBG0MYtkHRLnJO/ByaA9Mc9sYV3sVikUAgQCwWo6amBl3X6evrIxAI0NbWhs/n88JBtm/fvqDUrGKx6BF3JpMhkUh4xL2Yjoujo6N88IMf5PHHH+ff/u3fuPTSS5fNDH1wcJDh4eFZv2fdunVe57Kvr49du3Zx3nnnceedd856mL3++uv5x3/8xwnfY1mOO95FF13Ez372s4qu8YSTtaZpnHvuuTz33HM888wz7Ny5c8bv3bVrFz//+c8nfO0973kP//zP/1zVYz700ENcddVVrFmzho6ODv74j//4hLdh3NzXgYEBUqkUtm3T1NREc3MztbW1yLLM0NAQzz//PKVSiUgkgt/vn1BtLwfYwmZYG+aZ3mcYkoaIJqKElfBE8ZVw2nb5fJ5QOEQinqjIQOVEEne32s2oOTpFSFa+/11NgEgum0NV1RkPMvPCOHG7r5Esy0i+KL25VkwRICpp1HWmkU0bKziVhBcivDJtk6yVJSyHK94YmA3HPLnnv05V3jp3SWHyLrcij5ubVGjCMhuKwgdInF06SCKg03PmWvT4sddCszV0W+eCxAXU+mvn/H35fN7zyNY0jcbGRlasWEEgEBhXm8OOHTvm7UQ4HTRN81rlIyMjRCIRj7gTicS8XiMhBE888QTXXnstW7Zs4a677npVOalNRm9vL294wxs488wzueeee+a8/w4MDHg+Gy527NjBl7/8ZS677LKKc8RPOFl/6EMf4sCBAzz88MMVkfWmTZv4m7/5G+9rkUhkXi3gUqnEww8/zJ49e/jhD3/IunXr6Ojo4Morr2T9+vXzeSqLBiEEY2Nj3oxbCIHP50PXdTZu3MiKFSuwbdubbZdKJW9v+0SfVEulEj09PdTU1FDfUM+IOUKn2klKT2Fjo5gKas7JGE4kE/OesR8v4rZtm4PqQSxhsSm8aUKF5wnjqtj/FkIwOjoKYm4jmAVB4GVyl0o6A4V68kYtiaBFY/8YgaLmzLHHsZA1Jt3WyVt5YkqUQIURrTNftsDQdASCQKD6zYjyKMvZUregshSsyh7TaXvXiTxnFQ5SakuS2rYCUXYIK1klJEniwsSFFe2Zg0Ocvb29SJJEfX29Z4oiSRLt7e2cfvrpS9qydrdV3CQsv98/QVle0dqeYfCFL3yB2267jb/+67/mwx/+8LIqLqpFb28vu3btYvXq1dx1110Tnot7AJkcRDUd5tMGP6Fq8IcffphHH32Uhx56iIcffriin4lEIotyKguHw7ztbW/jbW97G/l8nh/84Afs3r2bW265he3bt3PllVdy5ZVXzijYWEpIkkRtbS3JZJJQKMShQ4fw+XxIksThw4cpFAreOlhTUxOFQsGryIUQBIPBE2LDNzo6yuDgIG1tbd5spsHfQIO/AcMyeGXgFQ7mDmJGTaflvYDP7Gx73ItF3Lqts6+4j4SSYHVktfd127IdMZxpzDqLn4zyoJJEcok1BmWZ3MkE1Ok6/aODdA7XkquN0CIJkpkSRjiAbjiivmqU3i5cxXdCSeCTF0nxLctO5GiVKI+yDAbnPrjOmoI1bm4yl9jUEDJFApxi9LDOSDOwcxW51olVc8EqEJJCnJ88v2JrXzcusny7wxWhhUIhtm3btuQ71OXbKrZte9f0wgsveBGWTU1N1NfXT0vAR48e5d3vfjfDw8P8/Oc/56yzzlrS6z0e+M///E8OHjzIwYMHp8Q5u3XvdEFUi4ETVlmnUinOPPNMvvvd79LQ0MDatWsrqqxfeuklhBC0tLRw2WWX8elPf3pR20Cjo6N897vfZffu3fz0pz/l7LPPpqOjgyuuuOK4tm7GxsbYu3cvQgi2bNlCXV0dtu3YTw4MDJBOp/H5fDQ1NdHS0kIikfCq7Z6eHkqlkjO/PA7VtmvEUCwWWbly5ZRqOZfLMTAwQCAQoLW1FcknkTbSdKqdjJqO3WhEieBb4HoPLF7FPZOQzI3jDIVCTluwwspY13TGxsaIxWOL+n6tFiVD4ZXeOCXNIpEZoS6VxQr6UYKzV6HTIW/lMYRBQln4/v1CPL7danqxoizFOHGb43aiM22JFIUfGZtzigcJRW16z1zn7U67yJk5anw1nBM/B7889/MyTdNLyWpra/PeK0IICoUCjY2NbNy48YSuOLkRlul0mnQ6jaZp1NfXMzAwwBlnnEFjYyPf/va3+eAHP8iVV17Jl770pVeV3elyxQkha9dy7cILL+Smm26is7OzIrK+/fbbWb16NW1tbTz//PN8/OMf55xzzuHb3/72klxnOp3moYceYs+ePTzxxBNcdNFFdHR0cPnlly+ZKb5hGBw4cID+/n7WrVvH6tWrp/1gusScSqUYHBzE7/fT3NxMc3Mz8XicUqlEf38/6XTaiWxcomrbNE26u7vx+/20t7dPOBiYpsnAwADFYtFrnU2GbusM6M4Od87KARBVogu++cP8iXtQG6TH6GF9aL3nz+y6qVmWRSKZqKqqKRaK5PN5amprlny1rhKoqsneHj9ZLUqjpFHXNYyBjaXIHinNRtxC2OSsPAJBXIkveDVrvopvcP3BDSRJWhKltxAC27awTBvLtpAkCUlRKMkxmslyRuEQ2Q2NDG1omeLJnjEztAZaOT12ekXv51wuR19fH/F4nJaWFu9z726QrFy5ctnFW7qHiHQ6zXvf+16efPJJamtrKRQKfPGLX+R973vfsrreVzMWlawrlb8/+uijPPDAA/z85z9HUZSKyXoyHnvsMS6++GIOHjy45HPm3t5eHnzwQfbs2cP//M//8MY3vpGOjg7e8pa3LMralBCC/v5+9u/fTzKZZMuWLTMmMU2Ga37gEncwGKS5udkL7hgZGaGnp4dCobCos+1isUhvby91dXVTXIdGRkYYHBwkHo97yT9zodx8pWAV5mW+MhMqJW5XSLY5spmgHPTEcLl8bl5uaplM5pgi/kTP6sqMWmKxGCW7gc7hBBGh0tidBsNCV6Rj4qtpiNsSFjkzi2+RFd+BQPUteDfK0u/3H7exj2pB3lLYkj9Euz1E72lrsNrrJxzChBCMmWOsD61na3TrnIcZy7I8H393JcuFbdsUCgU2bty47EVZzzzzDH/6p38KQFtbG08//TSnnXYaf/RHf8R1111HU1PTCb7CVzcWlawrlb9fddVV/OAHP5hw07MsC0VR+NM//VPuuuuuih6vUCgQi8V45JFHuOSSSxZ07dXg8OHDPPDAA+zZs4dXXnmFN73pTXR0dPCmN71pXi3OfD7P3r17KZVK3r7kfMnUsiyGhoY8BWI4HPaIW5Ikb7ZtWRahUGjeN7mRkRGGhoYmzKfBEcX09/djmiatra3zXv2Yj/lKpZiOuAPBAD30ICThCclMwzFqEUKQTCarclOzLZvRsVFkaWpi1onATEYtRd3H/lQSYQpa+tMEChpmODCNaloBRZAXBUJyiIiy8Fb+fBXfs0VZLiXyIkAAk3ML+1Hq/Bw5pZWCbaKpjjI7GAoSCAYoKSVOjZ7KuvDcaVHFYnHKSpYL0zRRVXXZx1talsU//dM/8Xd/93d89KMf5dOf/jQ+n4/h4WF++MMf8p3vfIcvf/nLrF69eu5fdhIz4oS0wbu6urxAB3B21i655BK+9a1vce65504Z3M+EX/7yl7zuda/jueee49RTT12qy50Ve/fuZc+ePdx///309PTwlre8hY6ODi6++OI5W6WWZXH48GG6urpYuXIl69atW9QKwTRNBgcHSaVSDA0NEY1GaWlpoaGhAVVV6e3tpVAoVDXbtm2bgYEBVFVl5cqV3nxRCMHg4CAjIyPU1dUt6MAxGZWYr8wXtmWTLWbZV9pH0A6yyr+KUCiEaZoUS0Vi0ZhzGKnioSpJzDpuEJDL5ygUCjMatZi2xJHBBGPFAM3DQ0RHcs7stWzdSTM18naOoAgRkoMLWndyFN+Go/gOBqradV6s8I1qYAvIEaLNHuG0YicjW1oZXdM4wcJV13WKpSIj2ggb7Y2sia0hkUgQi8WmfY3KPy9NTU1TyFjXdWzbXvbxlgMDA7znPe/hwIED3H333Vx00UUn295LhBO+ugVM2wafLH8/dOgQ9913H5deein19fU8//zzfPjDH2bFihVTdq9PBIQQPPfccx5xj46Ocvnll9PR0cGuXbumkHAqlWL//v0Eg0FOOeWUJf9AGobhEffw8LDXnk4kEt6a2FyzbdM06erqIhAITJhP5/N5BgYG8Pl8tLa2LplK1TVf6dF66Na6PfOVyXGe1SBn5jioHqTN30ajr5F8Pk+xVASBt8ceClUuTtNUzTOWqFQlvlSoxvZUCEjlwnQNx6kpjFHfN+JlY6tWiaJdIq7EUVCmrDvNljk99XGOKb6rmd8vRpTlfKAJBQ0/O9VDNPsK9J65Di0xdTxl2AYlu8S58XOJWbEJudOxWIx4PE4sFkNRFDRNo6+vD3DaxZM/L6qqLvt4SyEEP/7xj/mLv/gLdu3axTe+8Q2ng7RMMN8oy8Xy8lgKLNsgj8ny90AgwE9+8hNuu+02CoUCK1eu5Morr+Smm246wVfqQJIkdu7cyc6dO7nlllt46qmn2L17N3/xF3+BaZpcccUVdHR0UF9fz4c+9CHe8IY38Gd/9me0tbUdl5Oo3++nra2NtrY2DMMgnU570aCJRILW1lYCgQDpdNpL7gmHj5FgsVikp6fHi+WDY/aH+XyepqamJf+wSpJE0pck6UtySuQUxswxurQu+vQ+LNsiqAQrXo2BiUKyuBwnm8uillTHTS0UQtVUzwo14A94IRozEXchX6BQdKwbff4T+NGqoJqeDEmClkSJWMDgQLoGXQnS2jtAXtIoySZJX9LTDpSvO1mmhWmZ2IYx556yQ7gailJdVXwiqmlw2t5BofOGwitYrRE6t2/BnsbARrVVLGHxv5L/yxMkhsNhmpqa0DSNXC7HyMiI1+42DIOamhqam5unfPaLxSKRSIRt27YtuyxnF6qq8pnPfIa7776bL33pS1xzzTXLLoBjIVGW11133RQvj+WAZVFZ/y7Dsiwef/xx7rnnHu677z6KxSLr1q3ji1/8IpdccskJbxnpuu6Zr4yNjZFMJqmtrfXU5rZtUyqVGBkZYcWKFd4b163G3db6idjrdmELe4r5SkgOOQKxGVAuJMNwhGCuN/lkIZht2R5xe+K0MuIuT8yqq6tbOqOTCmDoBmOZMWRJrihEZNrfYUkcTMXpG8uyui9NUopizxG1WZ45bdv2FOI+pviufEXseEVZTnlcIZElxGozzTatm/Spq8i1TX8QLVpFfJKPCxIXzDrHd1OyVFXF7/ej67rnAx6Px/H7/eTzeerq6ti8efOJFyPOgL1793LNNdfg8/m47777JnhlL3dUEmW5a9cudu7cyW233Xb8LqxCLNvK+ncF7ofuiSeeYN26dbzzne/kxRdf5F3vehe1tbVceeWVdHR0sGPHjhNC3IFAgJUrV7Jy5Uo0TfOIO5PJkEwmiUQiaJpGS0sLQghKpZKX2tPe3r6gzOzFgizJnvmKJSwG9UE6tU6GjCEEgogc8XZcbdvmgHoAIQSnhE6hkC2gqdqsVqGy4uQDRyKRCcSdzWXx+5wbbygUcjoOJ4qnhbP6UyhWXk3PBEkysBO/Iqm0MxrYSnBggIg60fFs6s/I+HwyPp9vAnEbhgHCOVBVE/t6PKMsy6EJHwYyZ5f2UxfW6DpnC0Z0+kNf3swTVaKcnzifwCxZ3blcjv7+fmKxGCtWrEBRFEzT9FrlqVQKgNWrV7Nq1aplSdRuYuEnPvEJ/r//7//jlltuWXJTlsVGJVGWAPfeey/33HPPknl5zBcnK+slRiqVYtu2bdx444188IMf9G48mqbx4x//mD179vC9732PlStXenanmzdvPsFX7bS6XOLOZrMTdrcjkQj19fVEIpFl1/4qh2EbDBqDHFGPMGqOYgmLHq2HuBKnmWZy2VxVVqGToWkaQ4NDjge3LFXUKl8K6LpOJpNBlmVqkjUL8hpXbZV9hX00BBpoD7aTLfk5mE4QT2eoGx2bIDyr9NpM00SRZWfGLUlebOW0/gEnIMoSnJl9niBRW+Xcwn5Ka2sY2tQ2Y0pZ1szS4G/grPhZM5r5uGZB2WyW1tbWaVc8bdv2QnmEEAwPD3st9KamJuLx6lYFlwIjIyP83//7f/nVr37FnXfeuSw6gtWi0ijL4+3lUQ1OkvVxQKFQmHWFqVAo8KMf/Yg9e/bwH//xH2zZssWruJfDusPAwACvvPKK1+JMJpP4/X5UVfVansvBl3w26LZOZ6mTfYV9ZPJOy7op3kQ0PL/VslKxRC6fI5l0ErPmapUvCSZX0xVGbM6EnJnjYOkgq4KrqA8c25vXTZmD6ST2oE5LKoU1Ljyb/dIEuqYDeIrvYwYjFtY0zmCWaaIbBj5FwRfwL3oi1kywhESeEOv0fjbZAwzsXE2xcXrvBCEEGTPDytBKToueNuMqYalUore3d9qVLBfuataWLVtoaGjwvuZ6Jrh+3C5x19TUHNfPmBCCxx9/nGuvvZYdO3bw7//+715+9onCUkZZTofj6eUxF06S9TJDNpvle9/7Hrt37+YnP/kJO3fupKOjg7e97W20tbUd12sxDIP9+/eTSqVYv349K1eupFQqeRV3oVBwqlJZRtM0pxry+5dte8w1agnGg4gawVH9KHkrD1RndzpXYtbxIG5d18mMZZCVhVfTcCz+c2NoIzHf1NGGLaB3NMpgv58V/X3gkycEVZRDCBtN08fzo6dvD092BnNxPA1OAErCjw2cWThIrFbQt3PNtIlk4FT9GTPD5shmNoc3z7iSNTQ0xPDw8LQrWS4Mw8AwDLZv3z6jqZJlWZ4f9+DgIJIkecTtJvEtFQzD4JZbbuErX/kKn/3sZ/ngBz+4LLpoSxllOR1OlJfHdDhJ1ssYw8PDfPvb32bPnj384he/4Pzzz6ejo4O3vvWtFQfNzwdCCAYGBti/fz+JRGJGN7V8Pu8Rd7FY9HZKjbJgiOWgaC03ain3Wwan7evanRasAjAzcc8nMWvRiVs4B7pSqUQ8HicSXfgsrVftZcgcYktky6yiPICxop/O3hh1PYNEbH0KsVWr+HajLGXZyZZ2LT2n8+JeTLht74Rd5OziAbKbmxhd0wQz/Ju6Wd07YztZHZq+26XrOr29vQghaG9vn/HQ6saX7tixo2KXQtu2GRsb8/y4LcvygnxmCtKYL44cOcK73/1ustks99xzD2ecccai/e7jiWqjLKfDcvDycHGSrF8l6O/v51vf+hZ79uzhqaeeYteuXXR0dHDZZZdN67k9XxSLRV555RVyuRybN2+edr1kMlzv4lQq5RmmRKPR8erJaXeeiCQwdwY4NDRUkVGLa3faqXaSt/IT7E4XIzFrocTtVtOKojiq9QVW07Zt06l1oloqmyObK54Pa6bMob44/q4cdWrOE55Vo/ieLcrSdU6zrKUhblNIFAixUe9hnTxE/+lrUWtmHiGYwiRv5jknfg4twektP0dHR0mn09TW1s76PisWi4RCIbZv3z5vn/jpgjTcBKzGxsZ5f86EEDz44INcf/31XHXVVfy///f/loWAdD6YT5TlcvfyOEnWr0J0dXV5dqcvvPACv//7v09HRweXXnrpvD9ctm1z9OhRDh8+TGtrKxs3bpxXVSyE8BSuAwMDaJpGOBz2SFuSJMLh8JK31FwxHEBra2vFFYyLolVkQB+gU+tkrDRGLpejIdZAPLo45jXVELcQglw2t6jVtGmb7C/tJyAHWB9cX/W6mS2geyhK4bBJY2YEzS9hWWZFHt/lUZb+gH/WA9RE4gZFVpB9yryFZ0XhRwg4p7ifQLOfge2rsP0z/y7d1tFsjfMT51Pnn9rSNk2T/v5+VFWlvb19VtVwoVAgmUxyyimnLFol7B6UXeIuFArU19d7xF3pgSCXy/HRj36UH/3oR9x+++1ceeWVy1qDMhfuvPNOrrnmmmn/zqU814zrpz/9Kbt27aK7u5u3v/3tvPjii56Xxx/90R9x0003LUr+w0Jxkqxf5Thw4AB79uxhz549HDlyhEsvvZSOjg7+4A/+oGL3o0wmw8svv4wQgq1bty5apS6EIJvNen7k7oqT6wM/2XhlsR4znU4zOjpKQ0MD9fX1C/r9o6OjdA92ozQqpEhRtItISIsWMAKzE7dpmYtaTYPT+t9f2k+tUsvK0MLy2kcKAY6+BHXpQULxIMyW1oXA0OcfZemStj0+41ZkxVOWzwUhIEeQejPLGVonIzvayLbPvsZTskogwYWJC6cNLXFXslyvgZmuw02mam5uZv369Ut6UC0UCgwODpJOp8lms9TU1Hhz7pnuB7/97W+55ppraG9v5+67714WotaTmIqTZP07hBdffJHdu3dz//33k06nufzyy7nyyit54xvfOG2VbJomBw8epLe3l7Vr17JmzZolnBEKz0gllUphGAaBQACrLDUpGAwuiFgLhQL9/f2LZnva399PsVhk1apV3uvnBox0ap2otgosXqQnTCJu3VFTh0Ih4on4olRjbk53u7+dpuDCUpCEEIyOjKJZPjLDrYR6MkT85rTCs8WOsrRsC9u0PHGaLM8c7WkImQJBtpU6WRHK0XvmWozo7AfZglUgKAW5IHnBFFe88pWslpYWksnkjL/HTc1as2YNK1asOK7VqqqqXsU9NjZGIpGgsdGx1N2xYweWZfGP//iP/P3f/z2f+MQnuPHGG0+oudFJzI6TZP07CCEE//M//8Pu3bt54IEHKBQKvPWtb6Wjo4OLLroIWZb55je/iRCC7du3s2XLlnmnY833+kZHR72K2zAM/H4/QggCgYD330phWZZXSTQ2Ni44ocg0TXp6elAUZdYbbN7K06/1c1Q7SskuISMTVRaeDKZr43vTikwwEETX9UURp7mK7/Kc7vnCtmyGR4YJBpwZvmVL9PYG0Q+qJOwiokx4ttRRlpZtYVs2lmUiBBOiPQvCj2LbnFvaj70qxuDmmXenXeTMHElfknPj53pmOi7clSzXvne2UZFlWZRKJTZt2nTC4yF1XWdwcJDf/va3vOMd76CtrQ0hBJZlcf/993PhhRe+qtverwWcJOvfcdi2zZNPPsnu3bt58MEHPUIcHR3ltttu4+qrrz6hH1LbticQt2maXnUUDAbnjPHM5XIMDAwQDAZpbW1dsPpcVVV6enpIJBJV3WDzVp4+rY+j2lE0W0OSpKojPd2xgVpSiSfiE+afCxWn9al9pM00myObCcvVze8nwzRMRkZHiEVjU+bnIyN+hl62iasFCEjHPcrSjfY0LYscYVqtMXbavYycsYZi88wVsIuMmaHF38IZ8TMmdEvKV7IaGxun5LdPhmEY6LrOtm3bFlUAulAIIXjggQf4wAc+QE1NDaOjo7S2tvK2t72Nt73tbZx77rknSXuZ4iRZv0bgtrxuuukmWltbGRoaIpFI8La3vY0//uM/ZufOnSf8Q+r6kbviNFcN7LbIy+0qTdNkYGCAYrFIc3PzrK3ISuESf1NT04J+nxvp2aV2oQsdWZKJyJFZidutphWfMq0/eTmqJe4jJWctbXNk85RKsVqoJZVsNkuyJjnjmKFUlOl6xkQeVQlHOe7re4aQKYoA24uHqQll2b+hAdUnEQo6r1EwNHXcIoQgY2VYG1zLtui2Cf9Wuq7T19eHbduzrmS5cD0HduzYcVw7VnOhVCpx0003ce+99/KP//iP/Pmf/zmqqvLoo4/y7W9/mwMHDvDEE0+c6Ms8iRlwkqxfAygUCrzhDW9gbGyMf/7nf+aNb3wjuq7zk5/8hD179vDd736XpqYmOjo66OjoYOvWrSf6krEsawpxg1Nta5rG2NgY8Xh8VmFPNRgeHmZkZISVK1cuaixh1sx6xG0IYwpxC1scS/uaxZ98JsxG3LZkc7B0EFmS2RDasODKNp/PUywWqaudOVXMNE3GRsewhYw+UIMxIAgHTaTjZL9aEAH8tsF5hQOom2sZXtsMsuS4hZVUVFXFtExCQYe0Q8EQQhKMmWNsj2xnQ2TDhN/n6ixcodZcB1pVVfH5fOzYsWNZmQO9/PLLXHPNNYRCIe699142bdo05XuEECf8wH4SM+MkWb9G8MADD3D55ZdPS0SlUomHH36YPXv28IMf/ID169d7PuUn2mIPHOIeGhqit7eXVCrlmUokEgmPmOZ7k7Ftm76+PgzDWNIQBTeLu1frpVvrRhc6lmFh5Az8Pv+c1XQl8IhbVSnqRXrlXmoDtWyIb1iwc1omk8HQDUddP92al4B8IU8+nycWjRGLxRBAtsti6IBEyGfi8y0dEdgCcoRYoQ9xCv2kzliNWjt9VWuZFiW1hKZqqKaK5bc4I34Gm+uOpV1ZlkV/fz+lUom2traKKmTXGGjr1q3LRqhl2zZ33HEHn/rUp3jf+97H3/3d3817v3upMN/saYAnn3yST33qU/z6179GURR27tzJj3/846pXNV8NOEnWJzEBuVyOH/zgB+zevZtHH32U7du3c+WVV3LllVeycuXC1nzmCyEEXV1dHDp0yGt5Dw4OMjAw4O1vh8NhIpFIVdWMaZp0d3d7/s3Hq6owTZPDqcMcyR+hGCviC/rwyT4icmRRrqFoFnml+Ar1op64FUfXdfx+P+FQuGpxmqv4RoK62rppk7ws02JsbAwhhOMbH5jY9tZHLAaeFQggFFj8240uFFTh4/TiIRJNgoEdq2fdnXZh2AY5I8dWsRV/0Y+maUQiEQKBANlslkgkQmtra0UGL4VCgcbGRjZu3LgsbDnB6Ra9733v47e//S133nknv//7v78sK+dHHnmE+++/nz/5kz+ZkD39jne8Y9bs6SeffJI3velN3HjjjVx22WX4fD6ee+453vrWty6rrsZi4SRZn8SMGB0d5bvf/S67d+/mpz/9KWeffTYdHR380R/90XEz9M/lcrz88suYpsnWrVuprT2WK2wYhkfa/f392LaNoiiEw2Fisdiss1JVVenu7qaurm5OsdBiIp/P09/fTzAYpK2tDUVRyFgZerQeerQeDGHgl/yE5fntn4+ao3SqnawNrqXGXwM4rfaSWkJV1aqI23Vtc1fHpkOxUCSXyxGJRojH4jPGcoqSyfBvDLJ6kEjAqia4a1bkRYCwpXG2epDctiayK+orSgXTbA1TmFyQuICkz9EnuLa0pVIJgEgkQjweJ5FIzFgpu6YkK1euZPXq1cuCDIUQ/OIXv+Daa6/l9NNP59/+7d9OuBq9WlSSPX3eeefx+7//+/zt3/7tcbyyE4eTZH0SFSGdTvPQQw+xZ88ennjiCS666CI6Ojq4/PLLF7wqNR1s2+bw4cMcPXqUVatWsW7dulkrHMMwSKfT9PX1eRW33+8nEokQi8Um3Gxdj+W2trbjZqdoWRapVIpcLkdzc/O0CmFb2GSsDN1qN716L6YwqyLulJqi3+hnU3gTEd/0TlrCFqiqSkktzUrcuq4zNjpGLB6b1pXLsiwyY056WbImWVlr1bTRns3RMxonFLTxyfO/9dhCIkeQNWqKjYFB+s9cix6rTGtQtIooksIFiQuIKk57u1Qq0dfXh8/n87os2WyWXM5xjguFQiQSCeLxuHcIdHeoN2zYQGtr67yfy2JC13U++9nP8vWvf51bbrmF97///cum0q8GN910E4888gi/+c1vpv37dDpNc3Mz//iP/8ju3bs5dOgQW7Zs4bOf/Syve93rjvPVHh+cJOuTqBo9PT08+OCD7Nmzh2eeeYaLL76YK6+8kre85S2LYss3NjbGyy+/jCzLbN26terfqes6qVSKvr4+UqkUlmURDAaJxWKUSiVyuRyrVq06brM7t5oOhUK0trZWNM90E566tC769L45ifto6ShZK8vmyGYCcmXPaybidq95JsV3qVgim80SDoeJJ6rMWxYCZX+GzqMRrKCPsGLN/TOToAkfhi1zRvEgwVUBBre0z7k77SJv5okoEc5PnE9QDk7wj59pJcs0TfL5PNlslmKxSDAYJBqN4vf7Oe2005bksDofHDp0iHe/+90UCgXuu+8+TjvttBN9SfNCJdnTv/rVrzj//POpq6vj1ltvZefOndx999187Wtf48UXX2Tjxo3H+aqXHifJ+iQWhMOHD3P//fdz//3388orr/CmN72Jjo4O3vSmN83qkzwdyh3V1q1bx+rVqxdcFWiaRiqVore311v1qqmpIZFIEI1Gl7TqKK+m53K6mg22sBkzxzzitoRFQAoQkkMIITigHgABG8Pzn5e6xD02NoaqqsRiMaLR6ISK27ZsR2hmGl6O93zhH8iSfkFiOBAnJhsVtcXdpKyYUeQs8zCjO9soNNVU/JhZM0u9v56z42fjk3wTVrLa2toq2gJwYytzuRyhUIi6ujqamppobm4+YWtaQgj27NnDRz7yEa6++mpuvfXWZbEytpTZ00888QQXXnghN954I3//93/vff3UU0/lD//wD7nlllsW/gSWGU6S9UksGvbu3cuePXu4//776enp4S1veQsdHR1cfPHFc97Yh4aG2Lt3L+FwmFNOOWVJbjaqqpJKpeju7iadTiNJkjOPjceJRqOLOm90d7arqaYrgS1sRs1RurQu+vV+ukpd+GU/G8IbFnT9QgiymSymaZKsSWLoxoSKW1EUNFXz2sHVBn9MB3+2hP50loNSM1G/iSLNfCuyhEReBNmg9rMyOkbqzDVe2lclzy1jZlgZXMlpsdOQJdlbyUomkxUly7nQNM2Lt1QUhaGhIVKpFMPDw4TDYZqbm2lqavLiYpca2WyWj3zkI/z4xz/mX//1X7niiiuWxdwcljZ7+siRI6xbt45vfvObvP3tb/e+/r//9//G5/Nx7733Ls6TWEY4SdYnsegQQvDcc895PuWZTMbzKd+1a9cE4ioUChw5coTBwUE2btxIe3v7cbnZlEolUqkUXV1dDA0NeYryRCKxoHARy7IYGBggn88vqJqu6LGERb/eT0pPMaAPYAuboBKc4mU9F2zLZnRsFFmSHQFf2VN3ld6GaYAAf2B+qvKZoGgG4af6eVFvQwoohCRzyveowodlS5xVPIC0Icbw+pYZc6cnQwhnh3pjeCOnRE7Btm1PRNba2lqVZqFYLBKJRNi2bdsU8aJpmh5xDw0NEQqFvIo7Hq9yVFAhnn76aa655hpWr17N3XfffcK2NRYD1WZPCyFYsWIF73rXuyYIzE4//XTe/OY3T6i2f1dwkqyrxGc/+1l+9KMf8eyzzxIIBBgbG5vzZ4QQ3HzzzfzLv/wLY2NjXHjhhXz961//nZyrTIYQgl//+tfs2bOHBx54ANM0ueKKK3jb297GK6+8wt///d/zjW98g9e//vWLakZSDQqFAgMDA3R3dzM8POylgSWTyap2uN1qOhwO09LSclx3bS1hMWwM06V1kdJT2NgE5bmJezbFt6ZpZDIZAv6AU01LUkXitGohWTa1z/dxYKiG0WCcuOwEmLhJWbV6np3iKENnrkStrZxcLWGRNbOcGj2VteG1nnYgHA5XtJJVjkKhQE1NDVu2bJnz51xfgHQ6zeDgIIFAwCNu93VcCCzL4ktf+hKf//zn+dSnPsXHP/7xJfMHOB6YT/Y0wG233cbNN9/MHXfcwc6dO7nrrru49dZbefHFF5eFP8Ri4yRZV4mbb76Zmpoaenp6uOOOOyoi689//vPccsst3HXXXaxdu5ZPf/rTvPDCC7z88ssnjKBOBCzL4vHHH+df/uVfPOJ+/etfz80338zZZ5+9LNp3+XzeI+6RkRFkWSYSiXgz2umu0a2m3RjEpaymK4FL3EfVo6SNNDY2ITlEUJ44iphJ8V3uUZ5IJqY1mKhUVV4xhKD2UIqRg3Ag0k5YMigKP6eUummuU0mftgorUPnhxxQmeTPPWfGzaA20kkqlyGQyMyrxZ74sZzWrra2NdevWVf0edWfcqVSKwcFBFEXxWuU1NTVV/76+vj7e/e5309PTwz333MP5559f1c8vR8wne9rF5z73Ob761a8yMjLCaaedxhe+8IWTavCTmIg777yT66+/fk6yFkLQ1tbGDTfcwEc/+lEA76Zx55138n/+z/85Dle7PGDbNrfffjsf//jHufzyy7nssst4+OGH+fa3v01dXZ3nmrZjx44TTtzuTXpgYICjR48yNjaGoihEo9EJ4io30zgSiRz3aroSWMJiSB+iU+tkyBjyiNtWbXK53BTFt67rTn62T6EmWVMR8c5E3MFQsOqKLzYwhvLcCHt97ZxqHMXcWsfYysp2p73nYOuotsp58fOI2TH6+vqQZZm2traqNgDc1ax169bR3t5e1fOY6feNjIx4sZWSJHkVd01NzawzWiEEP/rRj3jve9/Lm9/8Zr761a+e8EPhSRxfnCTreaJSsj58+DDr16/nmWeeYefOnd7XX//617Nz506+/OUvL+2FLiP813/9F+9617u4/fbbueSSS7yva5rmuRh973vfY+XKlZ5P+XQexscbQgiPlI8ePUo2m0WWZUzTxLIs2tvbF2VlbalhCpNBfZAXh16kv9hPIpkg6o86FbdwxEqlUmlK4lc1WAziDuZKNL7SR3pLG3q8OttI1VYRQnBB4gL0jBML2dDQ4NikVkH4brzlli1baGhoqOoaKoGbNucStxCCpqYmmpqaqKurm0DcxWKRT37yk9x///185Stf4R3veMcJP8yexPHHSbKeJyola3fFoK+vb4JxwlVXXYUkSdx///1LfKXLC6VSaVbf3kKhwI9+9CP27NnDf/zHf7BlyxauvPJKOjo6WL169XG80ulh2zadnZ0cOnQITdMolUr4/X6i0Sg1NTXHPWGqGrjiKl3XaV3Zyog1QpfaxYA6QCabISJHaKhpQPEtzvxzMSvuSlC0ivglP2dHzmZ0YBTTNGlra6vaJ9owDAzDYPv27cflECaE8NTp6XSaYrHI3XffzeWXX86GDRt473vfSywW495772XDhg1z/8KT+J3E8urZnSDMZx/wJOaHuW6c0WiUq666iquuuopMJsP3vvc99uzZw9/+7d9y+umn09HRwdve9rYT4hilaRqvvPIKo6OjnHrqqTQ1NTE2NkZfXx9dXV10dnbi9/uJxWLU1NQsq5a464Pu9/tZs2YNkiTRqrTiy/iIjcaQa2XGQmOMmCMIUxCRIwuO05RkiXAkTDgSnkDc2Vx20Yk7b+aJK3FO4RT6O/tJJpOsWrWq6gpU05ws8p07d867u1AtJEmitraW2tpaNm/eTGdnJ/F4nOuvv55cLse2bdv46Ec/uiit+JN49eJkZU31+4Bwsg1+vDE8PMy3v/1t9uzZwy9+8QvOP/98Ojo6eOtb30pjY+OSPrYQgoGBAfbt20ddXR1btmyZMvsUQjA6Okpvby9dXV0UCgUCgQDxeJyampoTqtbVdZ3u7m7i8bjnEa1pGr29vUiSRFtbmze31m2dQWOQTrWTUXMUIQQRZeHEXY7pKu5QMEQoHJrX65Q1szT4GmjLtaGVtKpXslyUSiWCwSDbt28/oclUg4ODvO997+PZZ5/lk5/8JN3d3Tz00EP09/fzh3/4h3zzm99cdslZJ7H0OEnW80S1ArOPfvSj3HDDDYAzG2xqanrNCcwWC/39/XzrW99iz549PPXUU+zatYuOjg4uu+yyqpS+lUDTNPbu3Usmk2HLli0VBZi488ienh66uro8b2m34j6eXs3FYpGenh5PfVxur1lfX09DQ8OM1adu66T0FJ1aJ2PmGBISYTm8bIhbCEHGytAiWqgZrSEcCnvhKNWiUCiQTCbZsmXLCeuICCH42c9+xnXXXcfZZ5/NHXfc4c3LhRC88MIL/Pd//zfvf//7T8j1ncSJxUmyrhJdXV2MjIzw/e9/ny9+8Yv893//NwAbNmzwTvNbtmzhlltu4Y/+6I8AZ3Xrc5/73ITVreeff/41t7q1FDh69CgPPPAA999/Py+88AJ/8Ad/QEdHB5deeumCXNDcavqVV16hoaGBzZs3z6uasW2b4eFhenp66O7uRlVVzzUtmUwuKXG7gSUrVqwgEomg6zq9vb0IIWhtba1qlqvZGmk9zRHtCFkzC0BEieCTFo/YqiFu1zu9WWumNl9b9UqW95jj8ZbNzc2sX7/+hIVe6LrO3/zN33D77bfz+c9/nve+972vygCOk1g6nCTrKvHOd76Tu+66a8rXy/f/JEni3//933nnO98JHDNFuf322xkbG+N1r3sdX/va15aF0vl3CQcOHGDPnj3s2bOHI0eOcOmll9LR0cEf/MEfVHUoUlWVvXv3ks1mOeWUUxYtXtCyLIaHh+nu7qa7uxtd1z37zkQisag353Q6TTab9QJL3JWh2tpampqaFqQmVm3VqbjVTnJWDoEgqkSXlrh9fkIhh7iRYVQbpTXXSovSQnt7+7wPUoVCgdWrV7Ny5coTprA+ePAg11xzDbquc99997Fjx44Tch1zobOzk7/927/lscceY2BggLa2Nt7+9rfzqU99asbX392Png4PPPAAf/zHf7yUl/w7hZNkfRK/k3jxxRc9u9N0Ou3Znb7xjW+cUbEthKC/v599+/bR2NjI5s2bl0zd7bpcdXV10dPTg2EYnmvaQuwpbdumr68PwzBYtWrVhD+3tbUtumhKtVUG9AE61U7yVh5Y2oq7qBUxFIPN1mbW1Kypyte7HJZlUSwW2bRp03HLZp8MIQT33nsvH/3oR/mzP/szvvjFL1atXD+ecNcr/+RP/oQNGzbw4osvct111/GOd7yDW2+9ddqfsSyLwcHBCV+7/fbb+eIXv0h/f/+iRtT++Mc/JpVKcf755/9OukOeJOuT+J2GEILf/va37N69mwceeIBiscgVV1xBR0cHr3vd67z26uHDh+nv78c0TbZu3brkorVymKZJOp2mu7ub3t5eTNMkEol4+cmVklG54rutrY1sNksqlSKRSNDc3LzkbdWSVWLAOEbcMjIRJYIiLY64rmgUGc4Ms8XaQp2/Dk3TCAaDXmei0oOVaZpomsa2bdsWXeNQKTKZDNdffz2PPfYYd9xxB5dddtmrcnf6i1/8Il//+tc5fPhwxT9z+umnc8YZZ3DHHXcs6rXs3r2bhx56iGeeeYZbbrmFSy65hGQyiW3bvxMjhZNk/SpEtf7khmFw00038R//8R8cPnyYZDLJ7/3e7/G5z32Otra243PRywC2bfPkk0+ye/duHnzwQWRZ5oorrgDgm9/8Jh/72Me4/vrrT+iutGEYpNNpurq66O3txbZtIpEINTU1syaD6bpOV1cXyWSS2tpa+vv7UVV13srohaJklejX++nUOilYBSQkokp03sQ9UhihkCtwXvw81rasRZZlLMsil8tNyJmei7g1TUMIwY4dO05IjKTrlf+ud72L9evXc/fdd7+qV7JuuukmHnnkEX7zm99U9P2//e1vOeuss/jlL3/JBRdcsKDHFkJ4nwf3/wshuO222/jGN77BG9/4Rm666Sba2tp+Jwj7JFm/ClGtP3kmk6Gjo4PrrruO0047jdHRUT70oQ9hWVbFH7LfNZimyYMPPshf/uVf0tvbS11dHe94xzvo6Ohg586dy6LKMQyDVCrF0aNH6e/vx7ZtotEotbW1E9rZhUKB3t5eryU8MDBANBqlpaVlWQQ8FK0i/Xo/R9WjFO0iElLFFbewBf2ZfiRd4uLmi2lITu8mVglxq6qKz+djx44dC8rini9M0+Qf/uEfuPXWW/nMZz7DRz/60WXx7zNfHDx4kDPPPJNbb72V6667rqKfed/73sfPfvYzXn755QU9djlRT4e77rqLb37zm0QiEb7//e9X9DPLHSfJ+lWMStfHpsPTTz/NOeecw9GjR1m1atXiX9wyhhCCO+64gxtuuIErr7ySz33uczz99NPs2bOH7373u7S0tHh2p6eccsqJvlzAqZxdu9NUKgU4BjI+n4+xsTFaW1vJZrMUCgVaW1uJx+Nz/MYTg4JVoF9zKu6SVUKSZq64dV2nd6yXOl8dv7fi9wj7K5vnTkfcgUCA5uZmdu7ceUJWs3p6erj22mvp7+/nnnvu4dxzzz3u1zAT5mMK1dvby+tf/3p27drFv/7rv1b0OG4s6ac//WlvjXUhOHz4MJ/97Ge9dvqXvvQlLrnkErZu3YoQgm9961vceOONXHnllXM+v1cDTpL1qxgLIeuf/OQn/MEf/AFjY2OvCl/rxYSqqrzlLW/hhhtu4M1vfvOEvyuVSjz88MPs2bOHH/zgB6xfv94LGFkusXuaptHf309nZyfd3d34fD4syyISibBq1apl5Zw2G/JW3iNu1VaRkYkqUWRkcvkc6UKadcl1vK75dfNun5umyeDgIEII/H6/N79vbm4+LmIuIQTf//73ef/7389ll13GV77ylWX3eavWFKqvr49du3Zx3nnnceedd1bcXv7mN7/Ju9/9bnp7e+etCXnppZfYtm2b9/s++9nPcuGFF/LDH/6QdevW8cgjj3gBJ4VCgW984xt89atf5d577+W88857VVfXJ8n6VYz5krWqqlx44YVs2bKFe++9d2ku7ncAuVyOH/zgB+zevZtHH32U7du3e8S9YsWKE315mKbJyy+/TCqV8hzU3GSwmpqaZa0snoy8ladX6+Vw4TCDmUFsbE5vPJ1TE6fO++bqJqe1t7ezdu1aDMNgcHCQVCrFyMgI8Xh8SYm7UCjwiU98goceeoivfvWrXH311a9aonDR29vLG97wBs4880zuueeeqtr4u3btoqGhgW9961vzeuyXX36ZM888k5tuuolPfepTaJrGW97yFv7rv/6Lq666ij179kz5mRdffJEbb7yR008/nZtvvvlVPXZ4dRzBXwM4Xv7khmFw1VVXIYTg61//+oJ+1+864vE4V199NVdffTWjo6N85zvfYffu3XzmM5/hnHPOoaOjgyuuuOKErP6MjIzw0ksvEYlEuOiiiwiFQpRKpQkVdzlxL3fznZgSo1FtRAwLttRuIVIToTk4/9fV3aHesGGD5yMfCARob2+nvb0dXdc94j548OCiE/fzzz/PNddcQ01NDb/97W+XTVdmIejt7WXXrl2sXr2aW2+9dcJKVktLi/c9F198MXfffTfnnHOO9/cHDx7kF7/4Bf/xH/8x78dvbm7mYx/7GLfddhtvfvOb2b59O+3t7bzxjW+ks7OT3t5e2tvbsSzLI+Xt27ezfv16nnrqKRRFOVlZn8TCsZT+5C5coj58+DCPPfYY9fX1C7nk1yzS6TQPPfQQe/bs4YknnuCiiy6io6ODyy+/nLq6uiV9bMuyOHDgAH19fWzcuJEVK1ZMe/MpFAr09/fT1dXF8PAwiqJ4qvJgMLisblimadLX14eu67S3ty+YLE3TRFVVTjnllIre464CfzEqbtu2+frXv85f/dVf8eEPf5ibb755WSexVYM777yTa665Ztq/c2nENUEpN4kC+OQnP8k999xDZ2fnvFTZpmni8/no6enhIx/5CPv27eO5554D4LHHHuOv/uqvWLFiBffddx/gfE5kWUaSJDo7Ozn11FN58sknvRb6qxEnyfpVjGrI2iXqAwcO8NOf/vS47hH/LqOnp4cHH3yQPXv28Mwzz3DxxRfT0dHBH/7hHy76bHJsbIyXXnqJQCDAtm3bKjY4yefz9Pf3093dzcjIiEfcyWTy/2/vzuNqTPs/gH/OOaXSkaWiiEorFSlRtoowjCRleZAHjTCpsUwYW2aYMfb1GcM0RE+WzGixhGw9xmSvBqNor9NKik575/v7o1/3dAxGaTnler9e54/uc9+n69x1zve+rvt7fa9mD9wvX75EVlZWg80FLy8vR1VVFUxNTeuVZPchgTs3Nxfz58/Ho0ePEBAQAFtbW5m6KGqpak+78vf3R05ODr766issXboUW7ZsQWVlJX766Sfs3bsXHh4e+OKLLwD8NZ+eiDBt2jQsX74cgwcPbs638kFa9sSzj1RaWhpiYmKQlpaGqqoqxMTEICYmBkVFRdw+xsbGCA4OBlD9BeTq6oq7d+8iMDAQVVVVyM7ORnZ2NsrLy5vrbbQKWlpaWLx4MW7duoW4uDgMHToUu3fvhq6uLqZPn45Tp06huLj4g36HRCLB06dPce/ePXTr1g39+/evUyUyoVAIAwMD2NvbY/To0TAxMYFAIIBIJEJKSgpyc3NRUlKCprxur6qqQmZmJle2UlNT84MDdWlpKYDqohv1zYaXl5dHt27dYGFhAVtbW2hpaSE/Px83btzArVu3kJKSgpKSEqljiAiXLl2CtbU12rZti5iYGNjZ2bFAXU8vXrwAUP1/DwB8Ph8ikQhGRkb46aefkJmZCW1tbezcuRMnT56EnJwcxo8fj7Fjx+KHH35AeHg4rl27Bjs7O/z5558QCoXQ09NrMYmXb8N61i1QXeuTv6s+7+vDVUzDePz4MVenXCQSYdy4cXB1dcWIESPqNMf31atXePjwIXg8HkxNTRuswAkR4dWrV8jOzkZaWhoKCwu5Hne7du2gqKjYaMGmuLgYmZmZaNOmDbp27dogX6IlJSVQUlKCiYlJoww7v97jjoiIQJs2bTBp0iQcO3YMBw8e5OYbt/TiG83pjz/+wIQJE/Dw4UOpC9JNmzbhzJkzOHPmDNq3b4+4uDhs2LABly5dQnR0NDQ1NRETE4Nt27bhwoULAKrndK9btw5A9aiUUChs0QGbBWuGaUREhNjYWK5OeWFhIcaPHw9XV1fY2tq+9ctDIpEgJSUFycnJ0NHRga6ubqMFASLihqPT09NRVFQEPp+Ptm3bQigUNljgJiLk5eUhPz8fnTt3brD7+2KxGB06dICxsXGTZPtWVFQgICAAfn5+iI2NhZKSEhYsWICFCxe+9aKYeT9JSUlYtGgRDh48yC0PCgCTJ09Gfn4+Ll26xG27c+cOZs+eje7duyM8PBxA9ejK7du3oa2tDW1tbQBvrnTWErFLQIZpRDweD+bm5ti0aROSk5MRHh6ODh06YN68edDX18eiRYvw22+/cUN+APDgwQPcuHED2dnZ6N+/f6Mv3cjj8bi1nB0cHGBnZwdDQ0MQEXJycpCeno68vDyUlpbWe6i8rKwMKSkpEIvF0NXVbZBAXTM1S0NDA717926yaTkCgQBycnJISkrC3LlzsXPnTjx+/BhGRkbo378/FziYulNSUsKNGzfw8OFDANX3nQHAxMQEcnJySE9P5/a1srLCgAEDcOHCBWzYsAEAoKioiGHDhkFbWxsSieRvwbmlBmqABWvmA3z77bcYNGgQl2VcV/PnzwePx8POnTsbvG2yiMfjwdraGrt27UJ6ejpXn3zatGkwNjbGsmXL4OnpCTs7Ozx58gQDBw7kCjw0ZRs7duyIXr16YeTIkRg2bBj09PS49b0zMjLw7NmzOt3jzs/PR3JyMpSVlaGjo9MgpT4lEgmKioqgra0NPT29JvsSfvHiBWbNmoW1a9fi6NGj2L9/Pzw8PHDu3DlkZ2fD09NTqkfIvNmb/neqqqqgqakJZ2dn/PjjjwDAjTyZmpoiLS0Np0+fRkVFBXdM+/btYW5uDj8/P+5ed42abPDWouUO4DPNrry8HJMmTYKNjU2dV9AJDg7GzZs3P6qFRGoTCASwtbWFra0t9uzZg6NHj2LFihXIycmBuro60tLS8Oeff8LU1LTZvnB4PB46deqETp06oVevXnjx4gWysrIgEomQl5cHPp8PJSUltG3b9o1D5bWnZPXo0aPBluesqqpCSUkJjI2Nm2xWAxEhKioK7u7uMDIyQmxsLDd/u0anTp3eOrWJ+UvtedDZ2dnc0rA12/r27Yvg4GBcunQJDg4OAAAXFxdERETg0KFDyM3NxaxZs/DkyRPcuXMH69evx/Dhw1tUEaD6YD1rpt6+/vprLF68GGZmZnU6TiQSwcvLC4GBga1mDmp9ERGOHDkCLy8vODk5ITc3FwcOHEBGRgaGDx+O/v3747vvvsOTJ0+atZ18Ph+qqqowNTXFyJEjYWNjA21tbVRUVODZs2fIzMxEfn4+SkpKIJFI8OrVKyQlJUFOTg66uroNFqgrKipQVlYGMzOzJgvUlZWV2LhxI5ycnODl5YXw8PC/BWpZkZKSAnd3d+jq6kJJSQl6enrw9fX9x1kf2dnZcHNzg4aGBpSVlWFhYYFff/21UdpYU5xk6tSpGDNmDMzNzbF+/XpER0cDAMaMGYOioiKEhoYiMzOTO2779u349NNP4efnBwcHB4wfPx6jR4/Gp59+CiUlJVRVVTVKe2UF61kzTUoikcDNzQ0+Pj4tukBBQxGLxTh48CCCgoLwySefAACcnJzg5OQEsViMs2fP4vjx47C2toaxsTFcXFzg6urKJc80Bz6fD3V1dairq6N37954/vw5srKykJ2djeLiYpSUlKC0tBRdunSBmppag91vLysrAwCYm5s3WPD/J6mpqfjss8+Ql5eHa9euwcrKqkl+b33FxcVBIpFg//790NfXx8OHDzF37lyIxWJs3br1rcfNnDkTBQUFCAsLg5qaGo4ePYrJkyfj7t276NevX4O2saioCC4uLiguLsZ3332HqKgohIaG4vz58zh8+DD09fUxZ84cbN26Fbq6upg/fz7atm2Ltm3bYt26dfDw8EBSUhI6d+4MQ0NDANXfKy25lOj7YNngzAerS3GWjRs34urVq7hw4QJ4PB50dHSwaNEiLFq0qNHbKaveJ0O1sLAQoaGhOHbsGC5fvox+/frB1dUVEydOlJle3vPnz/HgwQMQEZeMxuPxoKioCAUFBSgqKtY7cJeUlEBBQQEmJiZNsrwlESE4OBheXl6YOHEidu7cKbMrmf2TLVu2YN++fUhKSnrrPkKhEPv27YObmxu3TVVVFZs2bcJnn33WoO2Ji4uDo6Mjjh07hv79+wMAIiIisGnTJpSUlODGjRsAAG9vb0RHR8PW1pZLIHudRCIBj8drVfem34YNgzNSVqxYwf3zv+0RFxdXr9e+d+8edu3aBX9//4/iw/W+3udctG/fHjNnzkR4eDgyMzPh7u6O8PBwGBsbY8yYMfDz85Oq1dyUJBIJEhISEBMTA11dXdjZ2WHkyJHo168fNDU1UVpaisLCQuTm5qKgoADFxcVS2e//RCwWQygUok+fPk0SqIuKirBw4UJ4eXlh37598PPza7GBGqi+0Pun7PtBgwbhxIkTyM/Ph0QiwfHjx1FaWtooNRh4PB7y8/MhFou5bQ4ODli0aBEyMzOxatUqANVzq11cXBAUFITPP/8cKSkpf3ut1pZE9i6sZ81Iacwa5Tt37sSSJUukelc1NXy7d+/+xg8j825ZWVn45ZdfcPz4cdy+fRt2dnZwdXWFo6NjvTL060osFnO9aTMzszcWbam92lVOTg735VqzzvTbetw1U7M6d+4MAwODJik2EhMTg9mzZ0NdXR0BAQEtft50QkICLC0tuYItb1NQUIApU6bg4sWLkJOTQ9u2bXHy5EmMGjWqXr+3donQ1z158gRTp07F9OnT4enpyS0y8/LlS2zbtg1nzpxBQEAAevfuza0s5+npCQUFBcyaNQszZsyoV5taOhasmQ/2vsG65t5mbaNHj4abmxtmz54NIyOjRmxl65eamoqgoCAcP34cDx8+xKhRo+Dq6oqxY8dCWVm5QX8XESEjIwNPnz6FlpYW9PX13yuY1lQCy87O5jLKgerALS8vzwXumlWzevTogR49ejR670kikWDv3r1Yv349vvzyS6xZs0amql3VZ1U+kUgEW1tb2NnZwc/P753Henl54fbt2/juu++gpqaGkJAQ7NixA9evX69zAmntQH3gwAH069cPVlZWUrd7PDw88Ntvv+Ho0aMwNzfnjo2MjMScOXMQFBQES0tLLnP82bNnSE9PR0JCAiZOnNjq70+/CQvWTL2lpaUhPz8fYWFh2LJlC65fvw4A0NfX53pYxsbG2LhxI5ydnd/4GuyedeN48uQJV+40NTUVY8eOhYuLC0aNGvXBy2WWlZXh0aNHEIvFMDExqXeBk/Lycq63/ezZMwgEAvB4PMjLy0MgEMDAwKBJlh/Nzs7G/PnzER8fj4CAAAwdOlTmhlbrOuKVmZkJOzs7WFtbw9/f/50XUomJiVwyWu2kTwcHB+jr63NznusiOTkZU6ZMwd27d+Hp6QlfX1+oqamhoqIC8vLyqKysRPfu3WFvb48NGzagZ8+eAIBnz55BR0cHx44dg6OjY51/b2smO5eOTIuzdu1aqRrlNVmjteuNx8fHo7CwsDma91EzNDTE2rVrsWbNGjx8+BDHjx/H6tWrMW/ePDg6OsLFxQXDhw+v89S53Nxc/Pnnn1BVVYW1tfUHTb1r06YNunfvju7du6OsrIwL3M+fP4eKigoqKipQXl4udculIRERLl68iPnz58PW1hbR0dGNvsRpfdVk378PkUgEe3t7WFpa4tChQ/844lGz0Mzr+wkEgjrlFtR4+fIl1q1bBx0dHQwbNgz/+9//EBgYiC+++ALy8vLc3zQoKAiurq5o164d5s+fD3Nzc5w9exa6urowNTWt8+9t7VjPmmE+EkSEe/fu4dixYwgKCkJxcTEmTJgAV1dXDBky5J1Di5WVlXjy5AlycnJgbGzcqBnopaWlXOB++fIlOnXqhC5duqBz584NNi+/tLQUvr6+8Pf3x44dOzBnzpxWsQCHSCSCnZ0dtLW1cfjwYam/qYaGBrfPiBEjcOTIEQwYMAAVFRXo3bs3NDU1sXXrVqiqqiIkJAQ+Pj44c+YMxo4dW+d2nDhxAu3atcPYsWMxa9YspKamwsfHh3utmuHtgIAA/Pe//8WVK1cwePBg3Lp1C9u2bcPnn3/eMCekFWHBmmE+QhKJBL///juOHz/OlT11dnaGq6srBgwYIBW4srKykJiYCEVFRZiYmDRppaiSkhLk5OQgOzsbRUVFUFVVhYaGBtTV1et9TzkuLg6zZ8+GQCBAYGAgevXq1cCtbj7+/v5vraJW81Vfswpf7RGwp0+fYsWKFfjtt99QVFQEfX19fPnll1JTud6l5rVrbh/UHhF5+vQp3N3d0b17d/j6+sLQ0BCVlZXc36+wsBCRkZF49eoVBg4cCH19fe41Ze12RHNiwZpp8b799lucPXsWMTExaNOmzXvN9waqE3KWL1+OyMhIVFZWonfv3vj111/Ro0ePxm2wjKmsrERkZCSOHTuGU6dOQSgUwsXFBU5OTjhx4gRCQ0MRHh4OfX39Zv3yFIvFXI+7uLgYampq6NKlC9TV1d8r4UgikeDw4cNYsWIF5s6di40bNzbJVLDWrnZCWWZmJrp27cr1nGuC8smTJ7Fx40aMHTsWq1atgpKSEsrKyt54/muXI2X+0vLHfZj3kpGRARsbG1y7dq25m9LgamqUL1iw4L2PSUxMxJAhQ2BsbIxr167hjz/+wJo1az44+aolkpOTw4gRI+Dn54fs7GyugEbNthEjRqCysrLZeznKysro2bMnbGxsMHDgQAiFQiQlJXF/v5ycnLeWnMzPz4ebmxvWr1+PoKAgbNu2jQXqBlAz9RIAbt++DV1dXTx+/BgCgQBVVVVc73nSpEkYPXo0IiIi8OuvvyIjIwMzZ87kSozWxgL1m7EEs4/EhQsXoKCgwGVpt6Yhpq+//hpA9RDg+1q1ahXGjh2LzZs3c9v09PQaumktjry8PEQiEa5cuYLPP/8cNjY2CAkJwZAhQ6Cvrw8XFxe4uLg0+7kSCoUQCoXo2bMnioqKkJOTg6dPn+LRo0dQV1fHixcvYGVlBUVFRdy4cQOfffYZTExMEBsb2yQZ5h8LgUCAtLQ0rF+/HvLy8qioqMDChQtx+fJlqQQ1Pp+P1atXIz4+Hps2bcKCBQtgZGTU7P9HLQnrWX8EiAiBgYHo06cP+vbty22vqqqq9/rELZlEIsHZs2dhaGiI0aNHo3Pnzhg4cCBCQkKau2nN7tixY/j6668RHByMPXv2YNq0aQgKCkJubi6++uor3Lt3D5aWlhg6dCh27dqFjIyMZm0vj8dDu3btoK+vj8GDB6N///5QUFCAt7c3tLW1YWFhgfHjx8Pb2xtnz55lgbqB3bx5E7179wYRYfDgwZg2bRru3LnDTcXk8/lcz1tZWRl8Ph+PHj3CmjVrcPfuXaioqHyU30H1Qkyrl5qaSv369aODBw8SEZFEIpF6/vWfW6pDhw5R+/bt/3G/rKwsAkBt27al7du3U3R0NG3cuJF4PB5du3at8RsqwyoqKuj58+fv3Cc/P59+/vlncnBwIDk5ORo0aBBt376dkpKSSCwWy8TjwYMHZGxsTO3bt6fOnTuTqqoqzZ07lyIiIqiioqKJzmbrt2bNGho1ahT3c3FxMW3ZsoWEQiGdPn2aiKr/pyorK2nw4MGkrKxMd+/e5favrKxs8ja3VKxn/REICQlBx44d4eDggJcvX+Lnn3/G1KlTsWHDBuTl5cnkcHhj1iivGZpzcnLC4sWLYW5ujhUrVmDcuHH1KgDRmsjJyf3jXOOOHTtizpw5iIiIgEgkwvTp0xESEgJDQ0M4Ojri8OHDyM/Pb6IWSyMinDx5EkOHDsXQoUORkZGBrKwshISEQEFBATNmzMDFixebpW0t2eu5APT/veFnz55J1VFQUlKCq6srhg4dioULF6KwsBBycnIQCATYtWsXioqKYGlpCYlEAiJi96frgAXrVq7my6tv374QCoUYPXo0NmzYgI4dOyI8PByDBg3C/fv333hsVVVVs60Ru3TpUjx+/Pidj5qqR3WlpqYGOTk59O7dW2p7r169kJaW1hDN/2h07twZn3/+OSIjI5GcnIxx48bB398fPXv2hIuLC44dO4ZXr141SVuKioqwYMECLF68GAcOHMD+/fshFArB5/MxZMgQ7NmzByKRCKNHj26S9rQWtbOzMzMzIRaLuQt8HR0dCAQCREVFcfvr6OjAxMQEaWlpmDNnDre9pqxoZWXlR7UAR0NhwbqVS0pKQnl5OUxNTfHzzz/jyZMnuHz5Mvbt24dLly7BwMAA33//vdR9o5KSEpSXl0MgEHAfUolE8sZqRjVXyA1NXV0dxsbG73zUt7JVmzZtYGVlhfj4eKntT548adZ1ols6LS0tLF68GLdu3UJcXByGDh2K3bt3Q0dHB9OnT0dwcDBXLauh3b9/H4MHD0ZKSgqio6MxadKkNwaD2v/TzSElJQXu7u7Q1dWFkpIS9PT04Ovri/Ly8ncel5iYCGdnZ6irq0NFRQWTJ09GTk5Oo7Sx9mpYNb3f58+fY9SoURgzZgwsLCzw9ddf49WrV5g0aRIKCgoQFBSEzMxM7jglJSXMnz8ff/zxB44cOQLgryxvWaq53pKwYN3K/fLLL+jSpQu0tLRw/PhxeHt7Q09PDxUVFVBSUoKzszNu3boFHo8HIsLDhw/h7u4OAwMDDBs2DFevXgUgnSgCVK/mIxaLZeIKOS0tDTExMUhLS0NVVRViYmIQExODoqIibh9jY2MEBwdzP/v4+ODEiRP46aefkJCQgL179+L06dOsclID6dmzJ1auXInY2Fjcu3cPZmZm+Oabb6Crq8st7/lPAep9VFVVYefOndyCMFeuXJHpC664uDhIJBLs378fjx49wo4dO/Djjz9i5cqVbz1GLBZj1KhR4PF4uHLlCm7cuIHy8nI4OjrWqxzou/zvf//D9OnT8dtvvwGoTuCLj4+HtbU11NTUsG7dOri7u2PXrl1YtmwZNDU1sWbNGly6dAmzZ8/GkSNHsHr1agQFBWH8+PHo2bMnYmJimm2ErlVpvtvlTGOrqqqiIUOG0LJly+jx48fE4/Ho6dOnRERUWlpKREReXl5ka2tLpaWldOXKFRo0aBD16dOHfvnlF1q5ciX961//Il9fX/Lw8OBeNyMjgyZOnEimpqZka2tLV65caZb3V+Pf//43Afjb4+rVq9w+AOjQoUNSx/3888+kr69PioqK1LdvXwoJCWnahn9kJBIJRUdH07Jly0hbW5s6dOhAM2fOpLCwMCosLKxzElliYiINHz6cdHR06Pr16y02UXLz5s2kq6v71ucvXLhAfD6fCgsLuW0FBQXE4/EoIiKiQduSl5dHJiYm5O3tTTk5OUREdPToUerVq5dU4uHhw4fJzMyMfvjhByIiOn36NDk5OZGZmRkZGhpy7Ro4cCB5e3s3aBs/VixYt2IPHjygHj16UFhYGD169IhUVFQoOjpaah8bGxv64osviIjI1dWVHB0dKSUlhXt+xowZxOPx6LPPPiOi6uzN7OxsCgwMpL1795JQKCRPT893tqOqqqrFfpEyjUMikVBUVBR5e3uTpqYmqaurk4eHB128eJFevXr1ziBdVFREJ0+eJDU1NZoyZQrl5+c399v5IKtWrSJLS8u3Ph8WFkYCgYC7wCaqvtgWCATk6+vb4O25evUqWVhY0LZt24iIyNfXlywsLIhIOnvbzc2NrK2tpY598eIF91kPDw8nIyMjOnXqVIO38WPEgnUrlpycTNu3b6enT59SRUUF2dnZ0fz584mo+sp806ZN1KVLF7p27RplZ2eToaEhd6Vc47vvviMej8cF+aqqKu65w4cPk7W1NfdhrP0cEdHLly8b8d0xrUVlZSVdvXqVPDw8SFVVlbp160YLFy6kyMhIKioqkgrUz58/pwULFlC7du3o4MGDLf4i8OnTp6SiokIHDhx46z65ubmkoqJCX3zxBXexsnDhQgIgNeLVkFavXk1Dhgyh69evU2RkJPF4PIqPjyeiv0blzp07R0KhkEQiEXecRCKh4OBgWrBgASkrK9PatWsbpX0fIxasPyInTpygrl27koGBAQ0cOJDU1dVp165dRER0/vx56tu3L124cIHbv7CwkBYtWkQ9e/aUep2aq2s3NzdycnKi5ORkqe0SiYT8/PzIycmJNDQ0aMKECRQbG9sE77D5bdiwgWxsbEhJSem95nwTEb169Yo8PT2pW7dupKioSL169aJ9+/Y1bkNlVHl5OZ0/f55mzZpFKioqpKOjQ19++SXdvHmTbt++TWZmZmRpaUlxcXHN3VQpy5cvf+OtmNqPx48fSx2TkZFBenp65O7u/o+vf+HCBerZsyfxeDwSCAQ0Y8YMsrCw4C6+G1pZWRmNHDmSpkyZQlFRUeTq6krm5uZS+3z77bc0cuTIv82Vvn79Ok2ePJl+//33Rmnbx4oF61bs9Z4uUXVADQwMpM2bN1NCQgK3PTk5mTp06EDBwcHctvv375OJiQktWbKEiKqLG9T0ZNLS0sjKyorWrFnD7V/z3IYNG0hDQ4M8PT3p/Pnz5OTkRBMnTqQXL178rT0FBQUN8VZlxtq1a2n79u20ZMmS9w7Wc+fOJT09Pbp69SolJyfT/v37SSAQUGhoaOM2VsaVlJRQSEgITZ06lRQVFYnP59PSpUulhoNlRW5uLj1+/Pidj7KyMm5/kUhEBgYG5Obm9sbP6dvk5eVxn6MuXbrQ5s2bG/qtcBITE8nS0pJWrFhBly5dIkNDQxo0aBCtXr2avv/+e1JWVqatW7c22u9npLFg/RF5U7WgmgBbXFxMn376KU2aNIkSEhLozp07NGbMGBIIBPTHH38QUXXwr3kNPz8/srKy4gJKeXk5ERHFx8dTjx496JtvvuF+x5MnT6SSYWoqSN29e5dGjRpFS5cubaR33Hzet5oaEZGJiYnU+SIisrCwoFWrVjVCy1qmgoICOnDgQIsf9iaq7lEbGBjQ1KlT613B6/Lly8Tj8Rp9hCEgIIBsbGzI39+fUlNTafr06WRnZyd1+4tpGixYf4TediUfGxtLffv2pa5du9K//vUv0tDQeGviy9SpU2nixImUnp5ORMT1GhYvXkx9+vSR+hJ5/vw59evXj3bv3s1te/nyJenp6dH333/PZZ22hi/iGnUJ1nPnzqX+/ftTRkYGSSQSunLlCgmFQoqMjGzcRjJNLiMjg/T19WnEiBGUkZFBWVlZ3KP2PkZGRnTr1i1u28GDBykqKooSEhIoICCAOnXqxI14NSaJREJz5syhMWPGcHkr5eXl3OddIpHUaWSAqT82O/0jVHu+dI2goCBMnjwZMTExICKcOXMG6enpGD58OLdPUVERhEIhUlNTkZCQAEdHR2hpaQEAV6Dkl19+wbRp06Cjo8Mdl5KSwq3IA1QXatm6dSvat2+P5cuXc/vVzNeuqqoCj8cDn89Heno6SktLYWBg0KpWCqttz5498PDwgJaWFuTk5MDn8/HTTz9h2LBhzd00poFFREQgISEBCQkJ3GenBv1/caGKigrEx8dLFZCJj4/HV199hfz8fOjo6GDVqlVYvHhxo7eXx+Nh586dsLKywt69e7Fjxw4IhULweDxuHevW+JmUSc18scDIgLy8PBo8eDBNnTqVwsLCKDw8nExNTWnw4MFS07gmT55M5ubm5OLiQhYWFnTu3Dki+mtY+/Hjx6ShoSF135uI6OTJk6Sqqkr3798nIqJ169aRra0tnT17Vur415WVldG3335LfD6/WQv+1yd5qC496y1btpChoSGFhYVRbGws7dmzh4RCYYPPoWWY+nrw4IFUjgvT9FjPmoGamhr27NmDHTt2YO7cudDS0oKRkRGWLVsmVQ3qm2++wX/+8x+Eh4cjMTERGzZswLNnz+Di4gI5OTmIRCJoaGhARUWFO+b58+e4evUqNDU10a9fP5SWliI0NBQODg6wt7cH8FcZwt9//x3nzp2Duro6PD09UVJSgps3b8LZ2RkCgQCVlZXNUqpw6dKlmDVr1jv3qW+d8pKSEqxcuRLBwcH49NNPAQB9+vRBTEwMtm7dCgcHh3q9LsM0JFNTUwDgetNM02PBmgEA9OvXj6vhm56eDk1Nzb8FRiMjI+zevRsA8OjRI+zevRu7d+/G9OnTAQBmZmZISkpCamoqd8yVK1cQFRWFGTNmAADCwsIgFothZ2cHJSUlANXDfoGBgfDw8MCIESOQkZGB0NBQeHt74969e/jPf/4DoPlqCqurq0NdXb1RXruiogIVFRV/+wIUCAQNXkqSYT4UC9TNh5155m+6d+/+xsAokUhQWVkJIoKJiQn279+PO3fucB9gNTU1zJs3D0eOHMG5c+dw5MgRzJ07F5aWlvj3v/8NoHqxen19fRgaGnKvGxYWht27d2P58uU4f/48YmJiYG1tjdWrV6OyshITJkwAAERGRr6xTbWDWlRUFEpKSpot0NW1TrmKigpsbW3h4+ODa9euITk5Gf7+/jhy5AicnZ2b5T0wDCODmnscnmmZqqqq3nivWSQS0ezZs0lVVZUGDRpE3t7eJBaLiaj63vSSJUtoypQpVFJSwh3j4uJCU6ZModTUVG5bWFgY8Xg8WrBgARFVZ5QPGDCA+/l1NZnkffr0oYCAgAZ7n3VVnzrlWVlZNGvWLOratSspKiqSkZERbdu2rVVlxzMM82HYMDhTL6+vwlWja9euOHjwIAAgNzcXnTt3BlCd4S0nJ4fy8nJUVlZCUVERAPDixQukpqbCyckJ3bp1416nsrKSW8geADp16oQJEybg1KlT3D5nz55FeHg4li9fju7duwMA7O3tkZ6e3myZ4/7+/vD393/nPvTakqIaGho4dOhQI7aKYZiWjg2DMw2qZqgcABeogb+mZWVlZXFD4DVD1e3atePWzwaAsrIy3L9/H+3bt5eaOubs7Izk5GRERERgyZIlmDdvHsRiMcrKyrh9+Hw+7t27x00tYRiGaQ1Yz5ppUG/rcfP5fBAR7O3tcfPmTS6zu2PHjlBVVcXdu3e5befPn8fhw4cxbtw4ANXBW0FBAV27doWhoSHWrl2LjIwMBAQEcBnlVVVVEAgEiI2NhZmZWZO+Z4ZhmMbGetZMk+HxeLC2toa6ujrk5OS44eAlS5bg4cOHsLCwgLe3N7788ktkZGTA3d0dAKCgoIDS0lLs378fN2/eRF5eHsLDw2Fvb88tai8QCFBcXIzy8nKoq6uzKSaoLkbj7u4OXV1dKCkpQU9PD76+vigvL3/ncaWlpfD09ISqqiqEQiFcXFyQk5PTRK2WDePHj0ePHj2gqKgITU1NuLm5ITMz853HsPPGNKaP+9uMaVJEhD59+sDHxwfAX0PjNjY2+PPPP+Hl5QU9PT2MHz8ebdq0wcCBAwEAeXl5cHR0xA8//AAfHx906NCBm/bF5/O54e579+5BIpGgY8eOXE/+YxYXFweJRIL9+/fj0aNH2LFjB3788UesXLnyncctXrwYp0+fxsmTJxEZGYnMzExMnDixiVotG+zt7REUFIT4+Hj8+uuvSExM5PIn3oadN6ZRNWd2G8MQ/b1WeVFREV27do2IiPz9/UlLS4sGDhxIIpGInj9/Tu3bt5eqm117ta8hQ4ZwS/OxbOq/27x5M+nq6r71+YKCApKXl6eTJ09y2x4/fkwAKCoqqimaKJNCQ0OJx+NxC9a8jp03prGxnjXT7GqGq2t6yMrKyrC1tQURYdy4cdi9ezdOnz6Nrl27olOnThg5ciSXcV5TR7ywsBBnz55F3759YWVlBQCsZvEbFBYWolOnTm99/t69e6ioqJCqnGZsbIwePXogKiqqKZooc/Lz8xEYGIhBgwZBXl7+jfuw88Y0NhasGZnx+j1mHo8HVVVVODs7S1UQGzBgAG7duoWUlBQug3z79u0oLCzEzJkzpe6HM39JSEjAnj17MG/evLfuk52djTZt2qBDhw5S27t06YLs7OxGbqFsWb58OZSVlaGqqoq0tDSEhoa+dV923pjGxoI1I9PeFHR9fHxw8eJFbl72uXPnEBgYiGXLlmHAgAEAWnevesWKFeDxeO98xMXFSR0jEonwySefYNKkSZg7d24ztbx51fW8+fj4IDo6GhcvXoRAIMDMmTPZRSDTbNjULUamvSnoEhFXBCU6Ohre3t7w8vLiSpq2dnVdWCQzMxP29vYYNGgQDhw48M7jNDQ0UF5ejoKCAqleYk5ODjQ0ND6k2c2urudNTU0NampqMDQ0RK9evdC9e3fcvHkTNjY2fzuuNZ83RjawYM20ODUBvLi4GBkZGfD19YWbm1szt6rp1GVhEZFIBHt7e1haWuLQoUP/OJ3N0tIS8vLyuHz5MlxcXABUr6Wclpb2xiDVknzIgiw1+RS1C/DU1prPGyMbeMTGdRimVRKJRLCzs4O2tjYOHz7M3d8HwPX2RCIRRowYgSNHjnC3EBYsWIBz587B398fKioq8PLyAlC9hOnH4NatW7hz5w6GDBmCjh07IjExEWvWrEFOTg4ePXoEBQUFdt6YJsd61gzTSkVERCAhIQEJCQnQ0tKSeq7mGr2iogLx8fEoLi7mntuxYwf4fD5cXFxQVlaG0aNH44cffmjStjentm3b4tSpU/D19YVYLIampiY++eQTrF69GgoKCgDYeWOaHutZMwzDMIyMY9ngDMMwDCPjWLBmGIZhGBnHgjXDMAzDyDgWrBmGYRhGxrFgzTAMwzAyjgVrhmEYhpFxLFgzDMMwjIxjwZphGIZhZBwL1gzDMAwj41iwZhiGYRgZx4I1wzAMw8g4FqwZhmEYRsaxYM0wDMMwMo4Fa4ZhGIaRcSxYMwzDMIyMY8GaYRiGYWQcC9YMwzAMI+NYsGYYhmEYGceCNcMwDMPIOBasGYZhGEbGsWDNMAzDMDKOBWuGYRiGkXEsWDMMwzCMjGPBmmEYhmFk3P8BLXAzGF55V+EAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results5['name'] = 'IMEX_x'\n", "results6['name'] = 'IMEX_t'\n", "plot_error_surface([results5, results6], title='CoupledReactionDiffusion errors')" ] } ], "metadata": { "kernelspec": { "display_name": "voxenv", "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": "3.12.11" } }, "nbformat": 4, "nbformat_minor": 5 }