{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Plane wave expansion with Autograd" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "scrolled": true }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import time\n", "\n", "import autograd.numpy as npa\n", "from autograd import grad, value_and_grad\n", "\n", "import legume\n", "from legume import PlaneWaveExp, Circle, ShapesLayer, Lattice\n", "from legume.minimize import Minimize\n", "\n", "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define 2D photonic crystal waveguide\n", "\n", "Here, we will optimize the dispersion of a 2D PhC waveguide. The underlying photonic crystal is similar to that in Chapter 5, Fig. 2 of \"Photonic crystals: molding the flow of light\", and has a broad band gap for TM-modes. The waveguide is introduced as a missing row of pillars. To have a sufficient number of free parameters, we take a supercell of size $5a$ in the propagation direction." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "scrolled": true }, "outputs": [], "source": [ "# PhC parameters\n", "ra = 0.2 # pillar radius\n", "eps_b = 1 # background permittivity\n", "eps_c = 9 # pillar permittivity\n", "\n", "# plane-wave expansion parameters\n", "gmax = 2 # truncation of the plane-wave basis\n", "Ny = 14 # Number of rows in the y-direction\n", "Ny_opt = 3 # Number of rows in which the pillars will be modified\n", "Nx = 5 # Supercell size in the x-direction\n", "\n", "# Initialize a rectangular lattice\n", "lattice = Lattice([Nx, 0], [0, Ny*np.sqrt(3)/2])\n", "\n", "def wg_sc(dx, dy, dr):\n", " \"\"\"Define the photonic crystal waveguide given shift parameters \n", " dx, dy, and dr, for the 2*Nx*Ny_opt number of pillars that get shifted\n", " \"\"\"\n", " # Initialize a layer and the positions of the pillars for the regular waveguide\n", " layer_wg = ShapesLayer(lattice, eps_b=eps_b)\n", " xc = []; yc = [] \n", " for ih in range(Ny):\n", " if ih != Ny//2:\n", " for ix in range(-Nx//2+1, Nx//2+1):\n", " xc.append((ih%2)*0.5 + ix)\n", " yc.append((-Ny//2 + ih)*np.sqrt(3)/2)\n", " \n", " # Add all the pillars, taking care of the shifts\n", " for ih in range(1, Ny//2+1):\n", " nx1 = (Ny//2+ih-1)\n", " nx2 = (Ny//2-ih)\n", " if ih <= Ny_opt:\n", " # The ih row includes \"optimization\" pillars\n", " for ix in range(Nx):\n", " circ = Circle(x_cent=xc[nx1*Nx + ix] + dx[(ih-1)*Nx + ix],\n", " y_cent=yc[nx1*Nx + ix] + dy[(ih-1)*Nx + ix], \n", " r = ra + dr[(ih-1)*Nx + ix], eps=eps_c)\n", " layer_wg.add_shape(circ)\n", " circ = Circle(x_cent=xc[nx2*Nx + ix] + dx[(ih-1+Ny_opt)*Nx + ix],\n", " y_cent=yc[nx2*Nx + ix] + dy[(ih-1+Ny_opt)*Nx + ix], \n", " r = ra + dr[(ih-1+Ny_opt)*Nx + ix], eps=eps_c)\n", " layer_wg.add_shape(circ)\n", " else:\n", " # The ih row includes just regular pillars\n", " for ix in range(Nx):\n", " circ = Circle(x_cent = xc[nx2*Nx + ix], y_cent=yc[nx2*Nx + ix], r=ra, eps=eps_c)\n", " layer_wg.add_shape(circ)\n", " if ih < Ny//2:\n", " circ = Circle(x_cent = xc[nx1*Nx + ix], y_cent=yc[nx1*Nx + ix], r=ra, eps=eps_c)\n", " layer_wg.add_shape(circ)\n", " \n", " # Construct and return a plane-wave expansion object\n", " return PlaneWaveExp(layer_wg, gmax=gmax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We first simulate the starting (un-modified) waveguide. Notice that the Brillouin zone is folded five times in the $x$-direction. There is just a single guided band in the band-gap if the elementary cell is used." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Initialize zero shifts\n", "dx0 = np.zeros((Nx*2*Ny_opt, ))\n", "dy0 = np.zeros((Nx*2*Ny_opt, ))\n", "dr0 = np.zeros((Nx*2*Ny_opt, ))\n", "\n", "# Initialize the PWE and visualize the structure both through the `eps` and the `eps_ft` methods\n", "pwe0 = wg_sc(dx0, dy0, dr0)\n", "legume.viz.eps(pwe0.layer, Nx=150, Ny=250, cbar=True)\n", "legume.viz.eps_ft(pwe0, Nx=150, Ny=250, figsize = (2.5, 4))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define a BZ path in kx and run the PWE\n", "path = pwe0.layer.lattice.bz_path([[0, 0], np.array([np.pi/Nx, 0])], [20])\n", "pwe0.run(kpoints=path['kpoints'], pol='tm', numeig = 150)\n", "\n", "# Plot the (folded) waveguide bands \n", "fig, ax = plt.subplots(1, constrained_layout=True, figsize=(4, 4))\n", "ax.plot(pwe0.kpoints[0, :]*5/np.pi, pwe0.freqs, 'b')\n", "ax.set_ylim([0.25, 0.55])\n", "ax.set_xlim([0, pwe0.kpoints[0, -1]*5/np.pi])\n", "ax.set_xlabel('$5a k_x/ \\pi$')\n", "ax.set_ylabel('Frequency')\n", "\n", "# Plot the field of one of the waveguide modes using the in-built `legume` function\n", "legume.viz.field(pwe0, field='e', kind=10, mind=Nx*(Ny-1) + 3, component='z', val='abs');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compute gradients\n", "\n", "We can use `legume` and `autograd` to efficiently compute gradients of PWE simulations. We will define the objective function as the mean-squared error between one of the waveguided bands and a target band shape. Let's first illustrate this target." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define a target band shape and which band we will try to optimize\n", "kpts = path['kpoints'][0, :]\n", "f_target = -0.01*np.cos(kpts*Nx) # Just a cosine target\n", "b_target = Nx*Ny - 3 # Index of the middle waveguide band in the folded structure\n", "\n", "# Plot the folded waveguide bands and the target shape centered at the target band\n", "fig, ax = plt.subplots(1, constrained_layout=True, figsize=(4, 4))\n", "ax.plot(pwe0.kpoints[0, :]*5/np.pi, pwe0.freqs, 'b')\n", "ax.plot(pwe0.kpoints[0, :]*5/np.pi, f_target + np.mean(pwe0.freqs[:, b_target]), 'r')\n", "ax.set_ylim([0.35, 0.45])\n", "ax.set_xlim([0, pwe0.kpoints[0, -1]*5/np.pi])\n", "ax.set_xlabel('$5a k_x/ \\pi$')\n", "ax.set_ylabel('Frequency');" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Define the objective function for the target band shape\n", "def of_sc(params):\n", " # Define shift parameters\n", " dx = params[0:Nx*2*Ny_opt]\n", " dy = params[Nx*2*Ny_opt:2*Nx*2*Ny_opt]\n", " dr = params[2*Nx*2*Ny_opt:]\n", " \n", " # Initialize and run the plane-wave expansion\n", " pwe = wg_sc(dx, dy, dr)\n", " pwe.run(pol='tm', kpoints=path['kpoints'], numeig=Ny*Nx+10)\n", " \n", " # Get the target band, ans shift by its mean value\n", " band = pwe.freqs[:, b_target]\n", " b_shift = band - npa.mean(band)\n", " \n", " # Return the MSE between the shifted band and the target\n", " return npa.sum(npa.square(b_shift - f_target))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will first test the gradient computation. Note that `legume` (through `autograd`) computes the gradients efficiently, using one backpropagation to get the derivative of the objective w.r.t. *every* parameter simultaneously. Because of time considerations, for the numerical finite-difference check we will only pick one parameter at random. Also note that we initialize the parameters with some random small values, in order to break the high symmetry of the un-modified structure. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Autograd gradient: -0.000026, computed in 2.7420s\n", "Numerical gradient: -0.000026, computed in 3.2668s\n", "Relative difference: 2.40e-05\n" ] } ], "source": [ "# To compute gradients, we need to set the `legume` backend to 'autograd'\n", "legume.set_backend('autograd')\n", "\n", "# Initialize random starting parameters to break the high symmetry\n", "dxrand = 0.01*np.random.randn(Nx*Ny_opt)\n", "dx0 = np.hstack((dxrand, dxrand))\n", "dyrand = 0.01*np.random.randn(Nx*Ny_opt)\n", "dy0 = np.hstack((dyrand,-dyrand))\n", "drrand = 0.01*np.random.randn(Nx*Ny_opt)\n", "dr0 = np.hstack((drrand, drrand))\n", "pstart = np.hstack((dx0, dy0, dr0))\n", "\n", "# Choose one parameter index at random for the numerical check \n", "# We pick one of the dy-s because they have the largest gradient in the beginning\n", "ind0 = np.random.randint(Nx*Ny_opt, 2*Nx*Ny_opt, 1)\n", "\n", "# Compute the autograd gradients (NB: all at once!)\n", "t = time.time()\n", "grad_a = grad(of_sc)(pstart)\n", "# Print the gradient w.r.t. the parameter index ind0\n", "print(\"Autograd gradient: %1.6f, computed in %1.4fs\" %(grad_a[ind0], time.time() - t))\n", "\n", "# Compute a numerical gradient for parameter ind0\n", "t = time.time()\n", "p_test = np.copy(pstart)\n", "p_test[ind0] = p_test[ind0] + 1e-5 \n", "grad_n = (of_sc(p_test) - of_sc(pstart))/1e-5\n", "print(\"Numerical gradient: %1.6f, computed in %1.4fs\" %(grad_n, time.time() - t))\n", "\n", "print(\"Relative difference: %1.2e\" %np.abs((grad_a[ind0] - grad_n)/grad_n))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The two gradients match very well, and the `autograd` simulation took as much time to get *all* the derivatives as it took the numerical simulation time to get just one of the derivatives. The magic of reverse-mode automatic differentiation!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Optimize the waveguide\n", "\n", "For the optimization, we will use the `Minimize` class provided with `legume`, which implements either `adam` or `lbfgs` minimization. The `lbfgs` minimizer is just a wrapper around the `SciPy` implementation, and any external optimization function can also be combined with the gradient computation from `legume`. Note that `autograd` provides both a `grad` function as used above, and an `obj_and_grad` function that returns simultaneously the value and the gradient of the objective function, which can be useful for custom optimization functions." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch: 1/ 10 | Duration: 14.66 secs | Objective: 1.654478e-05\n", "Epoch: 2/ 10 | Duration: 3.37 secs | Objective: 1.168233e-05\n", "Epoch: 3/ 10 | Duration: 3.26 secs | Objective: 4.554540e-06\n", "Epoch: 4/ 10 | Duration: 3.22 secs | Objective: 4.485529e-06\n", "Epoch: 5/ 10 | Duration: 3.24 secs | Objective: 4.424716e-06\n", "Epoch: 6/ 10 | Duration: 3.24 secs | Objective: 4.116053e-06\n", "Epoch: 7/ 10 | Duration: 3.24 secs | Objective: 3.654911e-06\n", "Epoch: 8/ 10 | Duration: 3.31 secs | Objective: 2.956595e-06\n", "Epoch: 9/ 10 | Duration: 3.23 secs | Objective: 1.932357e-06\n", "Epoch: 10/ 10 | Duration: 3.23 secs | Objective: 1.288668e-06\n" ] } ], "source": [ "# Initialize an optimization object\n", "opt = Minimize(of_sc)\n", "\n", "# Run the optimization\n", "(p_opt, ofs1) = opt.lbfgs(pstart, Nepochs=10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally let's plot the optiized band, and the underlying structure." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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TGDRoEFWvXl1SO54/f05yuZyWLVtmcp3Y2Fiys7OjH374QVJb5syZQ05OTmZ9PxYuXEi2trYUHx8vmR1qtZoqVqxIw4cPz3POnO8wO8MzDMMwryQymQw9evTA8ePHJb3uiRMn4OXlheDgYJPrNG/eHB4eHjhx4oTktvTo0cOs2YQ9e/bEnTt38OLFC8nsOH36NNRqNXr27GlyHU9PT7Ro0cIq70+bNm3g5uZmcp0ePXogKysLZ8+elcyOJ0+e4NGjR2Y9E32w0GIYhmFeWc6dO4cnT55ApVJJds2oqCj4+/ubJW7kcjni4+Px1VdfSWZHdnY2nj9/jkqVKplVLz09HQCwb98+yWx58uQJbG1tUaZMGbPqHTlyBH/88YdkdgC57485COXnzp0rqR0AzH5/dGGhxTAMw7yyVKxYUfJr2tvb54gVc6lcubJkdsjlcigUCrNtEeJ6lStXTjJb7O3tkZ2djezsbLPqeXh4SGaDgJ2dndnPJCMjAwBQr149yeywt7cHAIs/KwIstBiGYZhXFpVKhXr16kkalDIwMBB37twxK05XUlISbGxs8Omnn0pmh1wuR/Xq1XHx4kWz6j158gR2dnZo3ry5ZLbUqFEDRITLly+bVc/b2xsjR46UzA7BlkuXLplVRyg/aNAgyewICAiAQqEw+/3RhYUWwzAM80ry8uVL/PHHHwX2kdGle/fuUCqV2LRpk8l1NmzYALVajW7duklqS8+ePbFjxw4kJiaaVF6tVmPdunXo1KkTHBwcJLOjUaNG8PLywtq1a02uc/bsWdy5c0fy96dHjx64cuWKWaJvzZo1KFu2LOrWrSuZHS4uLmjbti3WrVsHIrL8QpK55//H4FlDDMNYCrcf2uh7Hmq1mt555x1ydXWlp0+fSn7PkJAQ8vLyopiYmHzLPnnyhDw9PWnIkCGS2xEVFUVOTk40cuRIk8ovWbKEANDJkyclt2Xu3LmkUCjozJkz+ZZNT0+nBg0aUK1atSg7O1tSO7KysqhatWrUpEmTfON5EREdP36cZDIZLV68WFI7iIj++ecfAkA///yzVj6HdygEuKFkGMZSuP3QRvd5ZGVl0SeffEIA6Ndff7XKPWNiYsjX15dq1aqlNyq8wIMHDygwMJDKlSsnebwogVWrVhEAmjx5slHRsmbNGlIoFDR+/Hir2KFUKqlZs2ZUqlQpOn36tMFyCQkJ1LVrV3JwcKALFy5YxZYzZ86QnZ0d9erVi5KSkgyWO3HiBHl4eFDr1q0pKyvLKraMGjWKbGxsaMOGDTl5LLQKAW4oGYaxFG4/tBGex/3792n9+vVUp04dksvlVumhEHPz5k2qUKECubq60pdffkk3btygrKwsysrKouvXr9MXX3xBLi4u5O/vnydgpdR8//33JJPJqH79+rRx40Z6/vx5zlIv+/btoy5duhAAGjlypOQ9SGLi4uKoWbNmpFAoaOTIkXT69GlKT08nlUpFDx48oB9++IHKlClDbm5uVomUL2bv3r3k4uJC5cqVoyVLltCjR49IrVZTeno6hYaG0vDhw0kul1Pr1q0ljZ+li1KppHfeeYcA0BtvvEEHDhygJ0+esNCyNtxQMgxjKdx+aCM8DyG1a9eOzp07Vyj3jo+Pp48//picnZ21bABArq6uNGnSpEJ7n06fPk2tW7fOub9cLs/ZDwoKMjl6fEFRKpX0/fffk4+PT879ZTIZASAbGxsaOHCgVZa70Ud4eDi99dZbpFAo8jwTPz8/WrRokdV6ssSo1WraunUrBQYGan1GTPlsyIgK4uH13yUpKQnu7u5ITEw0K6gawzAMtx/aCM/jt99+Q9u2bVG2bNlCtyEtLQ1nz57FgwcPIJPJUKlSJTRp0gSOjo6FbktkZCTOnz+P2NhYuLm5oV69eqhevbpZcb+kIDs7GxcvXsTt27ehVCpRtmxZNG3a1CohHfIjLi4OZ86cQXR0NOzt7REYGIgGDRpIOhvVFIgIt27dwunTp/H++++b9B1moWUh3FAyDGMp3H5ow8+DKW6Y85nl8A4MwzAMwzBWgoUWwzAMwzCMlWChxTAMwzAMYyVYaDEMwzAMw1gJFloMwzAMwzBWgoUWwzAMwzCMlWChxTAMwzAMYyVYaDEMwzAMw1gJFloMwzAMwzBWosiF1vLly+Hv7w8HBwc0aNAAJ0+eNFj22LFjkMlkedKdO3dyyqxatQotW7aEh4cHPDw80KFDB5w/f17rOtOnT89zDR8fH6u9RoZhGIZh/psUqdDaunUrJkyYgKlTp+Ly5cto2bIlunbtisjISKP17t69i5iYmJwUEBCQc+7YsWMYMGAAjh49ijNnzqB8+fLo1KkToqKitK5Rs2ZNrWtcv37dKq+RYRiGYZj/LjZFefOFCxdixIgReO+99wAAixYtwsGDB7FixQrMmTPHYD0vLy+UKFFC77mNGzdqHa9atQrbt2/H4cOHMXTo0Jx8Gxsb7sViGIZhGMaqFFmPllKpxMWLF9GpUyet/E6dOuH06dNG69arVw++vr5o3749jh49arRsWloasrKyULJkSa38sLAw+Pn5wd/fH2+//TYePHhg9DqZmZlISkrSSgzDMAzDMMYosh6t2NhYqFQqeHt7a+V7e3vj6dOneuv4+vpi5cqVaNCgATIzM7F+/Xq0b98ex44dQ6tWrfTWmTx5MsqUKYMOHTrk5DVu3Bi//fYbqlatimfPnmH27Nlo1qwZbt68CU9PT73XmTNnDmbMmGHhq2UYhmGswZ07d/Dbb7/h1KlTePr0KZydnVGrVi307dsXb7zxBhQKRaHYoVKpsHv3buzatQvXr19HWloafH190bx5c7zzzjuoWrVqodgBAE+fPsWvv/6Ko0ePIiIiAjY2NqhatSq6d++Ot99+G05OToViBxEhNDQUW7ZswYULF5CQkAAPDw80atQIAwcORNOmTQvFDgBITU3Fpk2bcODAAdy7dw9qtRoVKlRA+/btMXToUHh5eVnv5lREREVFEQA6ffq0Vv7s2bOpWrVqJl/njTfeoB49eug9N3fuXPLw8KCrV68avUZKSgp5e3vTggULDJbJyMigxMTEnPT48WMCQImJiSbbyjAMQ0SUmJjI7YcIS55HWloajR49mmQyGXl6etJbb71Fn3zyCb3//vtUu3ZtAkB16tTJt/2XgkuXLlFQUBABoLp169L7779PEydOpDfffJNKlixJcrmcPvroI0pPT7eqHWq1mubPn0+Ojo7k6OhI3bt3pwkTJtDYsWOpZcuWJJfLyc/Pj/bu3WtVO4iIoqOjqUuXLgSA/P396Z133qFPPvmEhg4dShUqVCAA9MYbb9DTp0+tbsuuXbvI29ub5HI5tW7dmsaOHUsTJkygbt26kYODAzk7O9PixYtJrVabfE1zPrNFJrQyMzNJoVDQzp07tfLHjRtHrVq1Mvk6s2fPpurVq+fJnz9/Prm7u9O///5r0nU6dOhAH3zwgcn35YaSYRhL4fZDG3OfR2pqKrVo0YIcHR1p8eLFlJGRkafMmTNnqHbt2uTi4kKnTp2S2uQcjh07Rk5OTlSvXj06f/58nvPp6em0YMECcnBwoDZt2lBaWppV7FCr1TRy5EgCQBMnTqSXL1/mKRMeHk7du3cnmUxGq1evtoodREQPHz6kcuXKkZ+fH+3atSuPgFGpVPT777+Tt7c3+fv70+PHj61my/LlywkA9erVix4+fJjnfGxsLH300UcEgMaOHWuy2CoWQouIKDg4mEaPHq2VFxgYSJMnTzb5Gv369aO2bdtq5c2bN4/c3NzozJkzJl0jIyODypQpQzNmzDD5vtxQMgxjKdx+aGPu8xg+fDg5OTnl28anpKRQq1atyMvLi168eCGFqVo8ffqUPD09qV27dvkKqJMnT5KDg4NZf+jNYdmyZQSA1q1bZ7ScSqWiUaNGkY2NjV5hWFCysrKofv365O/vT0+ePDFaNiIigsqVK0dNmjSh7OxsyW0JDQ0luVxO48aNy1dA/fTTTwTAZAFabITWli1byNbWllavXk23bt2iCRMmkLOzMz169IiIiCZPnkxDhgzJKf/DDz/Qrl276N69e3Tjxg2aPHkyAaAdO3bklJk7dy7Z2dnR9u3bKSYmJiclJyfnlPnkk0/o2LFj9ODBAzp79iy98cYb5OrqmnNfU+CGkmEYS+H2Qxtznsfly5cJAP30008mXfvp06fk7u5O48ePL6CVeRk9ejR5enqaLOKWLFlCMpmMbty4IakdiYmJVKJECRo5cqRJ5ZVKJdWtW5datmwpqR1ERL/88gvJZDKTRVxoaCgBoPXr10tqh1qtpkaNGlFwcLDJIm7o0KFUqlQpSk1NzbdssRFaRBoVXqFCBbKzs6P69evT8ePHc86988471Lp165zjuXPnUuXKlcnBwYE8PDyoRYsWtG/fPq3rCWO/umnatGk5ZUJCQsjX15dsbW3Jz8+P+vbtSzdv3jTLbm4oGYaxFG4/tDHneYwdO5bKli1LWVlZJl9/ypQpVKJECVIqlQUxU4uMjAxycXHR+m3JD6VSSd7e3vTxxx9LZgcR0Zo1a0gmk5k1BLd9+3YCQHfu3JHUlsaNG9Mbb7xhVp2OHTtq/dZLwdWrVwkA7dmzx+Q64eHhBIA2btyYb9liJbSKK9xQMgxjKdx+aGPO86hduza99957Zl3/1KlTBIAuXbpkqYl5OHv2LAEw2Q9YYOjQodSwYUPJ7CAiGjZsGNWvX9+sOikpKSSXy2nVqlWS2ZGenk5yudzk3kaBxYsXk52dnVniOT+WLl1KdnZ2ev33jFGjRo08Lk36MOczW+RL8DAMwzCMqcTExKBixYpm1XF1dQUArF69WjI7oqOjAcBsW7Zv344LFy5IZgdg2TNxdnaGWq3GuHHjJLPj+fPnUKvVZtty//59KJVK3LhxQzJboqOj4evrC3t7e7Pq3bp1CytWrJDMDuAVWOuQYRiGYUzFwcEBaWlpFtWtXbu2pHYAMNuW+vXrS2aD2JbU1FSz6hARAOQJGl5QOwDzn4mvry8AoHTp0pLaYunnxM7OTjI7ABZaDMMwTDGiRo0aZvcICT0lPXr0kMyOmjVrAoDZtigUCkntADTP5PLly1CpVCbXCQsLAwCMHDlSMjtKly6NUqVKmf1MYmNjUaZMGZQpU0YyW2rWrIkXL14gIiLC5DpZWVkoUaIEpk6dKpkdAAsthmEYphjRu3dvHD58GA8fPjS5zurVqxEcHJzTcyIF5cuXR926dfHLL7+YXOfevXs4ceIEevXqJZkdANCrVy88f/4ce/fuNbnO6tWr4erqirZt20pmh0wmQ8+ePbF+/XpkZmaaVCc9PR2bNm2S/Jl06NABjo6OZg0X79y5EwkJCZLbIiOh/5Axi6SkJLi7uyMxMRFubm5FbQ7DMBKgVgOJiUBcnOkpPR2ws9MkW1vtraF9IAlbtnD7IWBOe5qamoqqVauiVq1a2LdvX75L7GzatAmDBg3Crl270Lt3bwmtBrZt24aQkBD8/vvv6N+/v9Gy2dnZ6Ny5M8LCwnD37l04OjpKZgcRoUOHDnj48CEuXbqEEiVKGC1/9epVNG7cGJ9++ilmzZolmR0AcPv2bdSuXRuTJk3CnDlz8i0/ceJELFu2DLdu3ULlypUlteWzzz7D0qVLceHCBdSoUcNo2bi4ONSrVy/nc5UfZmkAs9zxmRx41hDDFC+ysogiI4lCQ4k2byaaN49o7FiiXr2I6tUjKl2aSC4nAgojcfshxtz29ODBgySXy2nAgAFGYx5t3bqV7OzsaMiQIWYtr2IqarWaQkJCyMHBQSueoy4pKSn05ptvkkKhoCNHjkhuB5EmNIGHhwcFBwdTdHS0wXLnz58nHx8fql+/vtWi1H/33XcEgL755htSqVR6y2RnZ9PXX39NAGjx4sVWsSMlJYVq1apFZcqUMTrj9PHjx1S/fn0qVaoURUREmHRtcz6z3KNlIdyjxTCvDkSa3qXISODx49yteD86GjDVhcXZGfD0NC05OwNZWYBSqUnCvr48YT8pKQlffcXth4Al7envv/+Od955B97e3pg4cSK6du2KcuXKITk5GWfPnsXPP/+MvXv3YsCAAVi3bp3kDs4CGRkZGDJkCLZv345evXrh/fffR+PGjeHs7IzHjx9j//79WLhwIWJjY7Fhwwb06dPHKnYAwMWLF9GjRw+kpaVh/Pjx6Nu3LwICApCdnY2rV69i/fr1WLNmDRo0aIA9e/ZYbSFlIsKMGTMwY8YMBAcHY/z48WjdujVKlSqFFy9e4OjRo1i0aBEuX76M2bNnY8qUKZDJZFaxJSYmBt27d8f169fx3nvvYfDgwahVqxZsbGxw9+5d7NixA0uWLIG7uzv27t2LOnXqmHRd7tEqBLhHi2EKj+Rkolu3iA4eJFq1iujrr4mGDSNq356oalUiR0fTepJsbYn8/YlatSIaNIhoyhSi5cuJ9uwhunKFKCqKyMywOxbB7Yc2lj6Pu3fvUv/+/cnGxiZPkOqaNWvS5s2brdKTpYtaraYNGzZQ9erV89hhY2NDISEhdP/+favbQUT04sULGjt2LDk7O+exxc/Pj+bNm0eZmZmFYsuxY8eoZcuWeoOIt2nThkJDQwvFjoyMDJozZw55e3vnscPV1ZUmTJigd21IY3CPViHAPVr6IdL+966b9J1Tq3MTkfaxvjzhZ9PGJjcpFKYd29sDjo6Ag4MmOTpq8q30Z4oxgaQkICoKePJEk8T7T55oeqTi4027lo8PUL48UK6cJunue3sDcitMASLSfJZTU4G0NE0S7+sev3yZhBkzXs/2Y86cOfjiiy8wfvx4LFq0yKQ6BW1P4+Pjcf78eTx79gzOzs4ICgpC1apVrdZLYggiwt27d3Hjxg2kp6fD29sbwcHB+fpMWYP09HT8+++/iIyMhI2NDapWrYo6derk69NmDZ48eYJLly4hISEBHh4eaNCgAfz8/ArdDpVKhcuXLyMsLAxqtRrly5dHo0aNcsJSmIM5n1kWWhYiPOSbNxPh7u4GhULTgOe3tbSRJwKys/OmrCzjeUolkJmZuxXv68sT9jMyNPvCVrxvaCsIqeKGXJ4rusRbYd/RUTM8JE4uLoaPhX0np7yCztoIIlSt1gyT6dvq7gvlxXWN7YuvoZt089PSgIQEjVB68QJ4/lyTXrzITaaGunFyAkqX1iRPT6BUqdxUsiTg4aF5xkT6bTElZWRop/T0/I/T0zWvQa02551KAvD6Ca1///0Xb731Ftzc3NC2bdtCE1oMU9iY85kthKb/9eb/oVQYA8hkuTOu9CVb21wRKpPlilEh6eYJx8KPqUqlLTKNHQu9acKPpIBandvTYE0UCu0ZaOIeN6HXTXiNAmKRIwgH4bWIfYGys3PLvK6kpQEREZr0KiO8z8aSXA5cv17UlkpLSkoKBg0ahFWrVmH27NlFbQ7DvDKw0Cogwj9o4cewsNEdIrOx0TTkwg+3nZ1muMzePu+PvCB0xHUE4aObL9xHvNXXa6ebB+jvDRHnCYgFhrBvbGvonqb0KspkeUWZUpm7FYRMZqZmun98vCYlJGiGupKSgOTkXIEm7tEz9DkQ95q8CshkuUmcJ35PxB5OBbmP8DkSf0bFSaHQtkVsm/B+mbovk2m/5+L3WixQhSTumRWXsZRX7X0uLD788EN0794dHTp0yFdoZWZmasVZSkpKsrZ5DFNksNAqINnZ1rmuuCdH/EOirxyQ6xuVlaXxBRHyxMNETOGiKwrFokD3fRUnsT+a7hCYlFgqoBQKwN1dM1RXsqRmKM/LS+Mf5esLlCmj2Qr5bm7S+8Cp1ZpZhtHRQExM3u2zZ7lDlImJBbuXMBSsb+viovkTo/tHIL99pRKQcNm9ImfLli24dOkS/v33X5PKz5kzBzNmzLCyVQzzasBC6xVFPDRmbcQ/+OJeH92eKt1eLd0eCqGMuLdJuKaxPLFPja640PW3EcqIhwKFrXiIUOjBEJ5hUXgiCvcsqt5Oa6FSAS9falJ4uP4ytrYanyonp1x/NbHvmziJ8+3tNc8rMzO3t1DoQRR6FoV7m/PdUChyhZ/uVtgvVUojIMViytHRfL9KsTAWD1+L8xISXh+h9fjxY4wfPx5///23yU7FU6ZMwcSJE3OOk5KSUK5cOWuZyDBFCjvDW4jgCNeuXSJsbTWOcLpDMUIDrftvVixqhKcv9GTom3UndjQWRIZ4iEPsrC446yqVhfgwihFubppeGE9PzdaU5Oamee75TTzQfV8MOWTr5uke6w6fCfv55ekbIjU2fCqXaz43gjO3eKsvT7zVl1JTi0bQmovucLN4H9AWyKZsxb5zpov618cZ/o8//kCfPn20ZrOpVCrIZDLI5XJkZmbmO9ONneGZ4gY7wxciR44UtQW5ODpqeg7c3TX7gm+Wg0Nefxjxjy2g7WcmdqwW/4Do82kRizypZhza2+f6lgk+Zbr7Dg4aAeTurr3VlydsXV1zf0wZ6VCpNEN0T54Ajx5pnNUjIzVhGqKjNcN4L15ofNpMxc5O+3Mr9KTqDq/q87nKT+gUVk+xPsTC7nXx4Wrfvj2u63j2Dxs2DNWrV8fnn39eJOEEGOZVgoVWAVm5UvPDbyjek+6xSpX3h0FwpDZ2rDuVXOhdEPdcCefj4qz3esVDQk5Omh4fYV8IhSBOwtCQEL9KEEnCMJGDg0YACSLJ1VUzZOPgwLGtihq1GoiN1fg86aaoqFwhFRNjunBxcND4cPn5abb69v38NOUsRTxMpy/EhbF9UyZh6G5lMv0TRXTzxH6WSUmaPwCvA66urggKCtLKc3Z2hqenZ558hvkvwkKrgHz+ubZ/km4jqy9fEB9iwaIrWgThIvZzKVEiN7m6ahrt7Gzjwzrp6YaDKBrb172WQFaWxlemoA7GpiCINbGIM7Svm4yd0xWBwv5/QdipVLm+TjExmh4oofdJcCJ/8UIj1hMTzev50Q1bYWgCR3IycPs2cOuW/lmouoFpdTE2KUR8bGhGorFjfWFFDO2bc073+HXy2WMYxjgstAqIqRGrpUYu1/wjFoSXh4e2EBNSyZIaZ18hsGPp0hphYQ5Emh61/Hx0jPn06PbEGdqKhx+FHrqXLyV6aPmgG6RUXwBTc5JuvDB9+7rHNjbaoQh0fcH05aWlaQRSVBTw9KlmPzZW89ySkoCUlNwQFNaaJQvk9sAyzLFjx4raBIZ5ZWChVUDOndP8EOvOMhIn3RlH4hlV+gSIvv2UlNwI28KyNUJsJ3NxcsoVXeLo2uJj8X7JkrnCw9ro9tAZE2XipC/P0HnxMKy4x0YIZJqQYP3X+Sohl2vEnjC86+ysGcYVBLxuFHxHx1yBKE66ebrHur6BpvYgidHXw6Wbp2+VQ3EPWX7H+ob+TXELMKdcaiowapTV3lKGYV4hWGgVkOrVNT9KhYkgBoQkBNLUTfHxmiGg2FhNevFC0wuSlqYZLoqMNP2eJUpoZup5eGj3ngk/yG5umh9kYdkZYckgwVnZ2L4gRM1ZMkUYetENrilGEIeGnKPFTtX5+fLoW/5IV0jrm00onlgg/rG1FrqBXIXQG+KJEcJwtLAvnNOdeGDKVpx083SPC2MJouJCUhILLYb5r8BNXwH57jvNjwiQN4q2sWPdH1/dOFGGQjzkl/T1qKnVGiHk6Kgde0oQOuKyhkSAIN6YV5vCjL9mLnK5ZWJO37Brfnn6ljcy5dhQdHpj+cKfCkOxs/RtzZmByTBM8YaFVgGZM6eoLShcxEM64mEdsSgsKOIfY3FPjG4yNLvL2MwvwPBsNEMLLwvDvcLsT32LCgvJ0t4qW1vNMK2np0YU6y5QrW/RanGenZ1hoW1sSFuIw6Y749VYnr6FyPUdZ2ZqPw+1Ou86kwzDMK87LLQKyLBheZfgMPTvVzjWXThZN+n6sojz80u6sx2N/Ys3lAyJF1MiZKtUuUOWL19qtrpJNz85WZMEkSb8wKekSP9+FQbCRAUPD42vm+DvZmyru0yN0DNlSoBUIanVmvfJmIDUJyiNrUNpKM8UvyddQac7XKz7WsQR/fUN0QrnxEOywla3B1ffcK0pr0X8/MVb3XzdfUOBZA1thej3jDYtW7ZE8+bNMXToUDRp0qTQ7vv8+XOsXbsWf//9Nx4+fAgAqFSpEjp37oxhw4ahVKlShWbL6dOn8dtvv+HcuXOIi4uDq6sr6tWrh5CQEHTv3h1yc5cqsJC0tDRs3LgRe/bswe3bt6FUKlG2bFm0bt0aw4cPR5UqVQrFDgC4d+8e1qxZg+PHjyM6Ohr29vaoUaMGevbsiQEDBsCxMByIoQnEu3v3bvz++++4dOmSyfU4MryFcCRjaSHS+I4JokuchAWcxSk1VTtYpe6+vrysrNyYR+YMJ9na5g2KameXK4gFYSGIBWHZmLS03B4ccW+Yvn1xniAumNeZ1ycyvBQI7emQIUNw4sQJREREoG/fvli1ahVKlixptfsSEVasWIHPPvsMarUaHTt2RI0aNUBEuHXrFg4dOgRbW1t8//33GDlyJGRWjAETGxuLESNGYPfu3fD390f79u3h4+OD+Ph4hIaG4urVq2jYsCE2bNiAatWqWc0OADh48CBGjBiBmJgYtG7dGvXr14e9vT0ePnyIgwcPIjExERMnTsQ333wDW1tbq9mRmZmJzz//HD/++CM8PDzQuXNn+Pv7Iz09HRcvXsSJEydQtmxZrF27Fu3bt7eaHQBw8+ZNDB48GFeuXEG9evXQqFEjrFy5kiPDFwb//KMZwjEnXo/QO2Uo1pahnipxet1iPslkucNgPj6Fd9/sbE2v2vPnuYsQi7fPn2tCJty5kxs/LDm56JaaMbTUjm4SryepWy6/9SzFn0+5PO/n1NzYVOaUMVROdxFuU7bmJN1ljMyJi6Wv11p3q5uXlgZ061a4n53iwNKlS+Hi4oKtW7di7NixaNGiBU6cOGG1HqXJkydj3rx5GD16NGbPnp1H1MXGxuKLL77AqFGj8PjxY8yaNcsqdjx79gwtW7ZEfHw8tm3bhn79+uXpuTp58iRGjhyJpk2b4ujRo6hTp45VbNm0aROGDBmCjh074vjx46hcubLW+fT0dCxevBhfffUV7ty5g507d8LGCjNdlEolevXqhaNHj2Lu3Ln46KOPYC84RP+fe/fuYcyYMejcuTO2bNmC/v37S24HAFy4cAHt27dHuXLlcPr0aTRt2hRJSUlYuXKlSfW5R8tChH9gQCKAwv9HKvwACj0upgwJmpLEy52YM8yoW1+81Zene87UIU7xkkHC8KKpKTk5V1QJQurlS8tFkxB8VnDEFn6kgbwLC2dn5/asFfdvnDgGmLnJFGd2faEhDH1+DH3uhM+KvnUN9R3r+hxaEyIgMTEJHh7coyWgb4Tg3r17aNGiBRo0aID9+/dL3pu0bds2hISE4IcffsCECROMlp03bx4+//xz7Nq1C71795bUDiJCx44dcfPmTYSGhuYRNmISEhLQrl07JCQk4Nq1a3BxcZHUlps3b6JBgwYICQnBmjVrjC6fdODAAfTo0QNTpkyxigD97LPPsGjRIhw4cMBob1V2djaGDBmCP//8E1euXEHVqlUltSMxMRFBQUHw8/PDP//8A1dXVwDmjWqx0LIQ4SFXrpwIhcLN4OxC3XzxUjymLA/C5EXwcZES3XUfrR2GQbinbjR7BwdtkaCv50nfOcBwiAljx2IBqG/I9b8UwVx3koepsw6BvP5phnzYcuGhQzGGfrT27NmDnj174sCBA+jSpYtk98vKykLlypXRsGFD7NixI18RR0To0aMHbt26hXv37knag7N792706tULf/31Fzp37pxv+fDwcNSsWRNff/01vvjiC8nsAIDu3bvj/v37uHr1KhxMWAdr2rRp+O677/DgwQOUKVNGMjsePXqEKlWqYObMmSa9xrS0NNSsWRP169fHjh07JLMDAL7++mssWLAAt2/fRvny5XPyWWgVAkXdo8UULra22rP+hPUZhej8Qnwx8ZqNLi7GlwSys3v1h4B1F27W3epLumt1Cnn6rmPomuJ9Q5MBjO3rc45/tWChJcbQjxYRoX79+ggICMC2bdsku9/+/fvRvXt3XLlyxeQhuPPnz6Nx48b4559/JPUH6tWrF54+fYpz586ZXGfEiBE4fvw47t+/L5kdMTExKFOmDH755RcMHz7cpDpJSUnw8fHB9OnT8dlnn0lmy8yZM7FgwQJER0fD2dnZpDrLly/HuHHj8OzZM3h6ekpiBxGhXLly6NWrF5YtW6Z1zhyhxT5aBcTbO7eHxVjcLEP/dg3NipIShcK04RbxOXEAS93YR4byjA09iuMUCZHu09I028RETYwu8TY+Ptcn6lVY1iUrK/9YYjJZ3vUpBdEl3urLE58TBFxBFlaWCrk8N8RGcUb4fuXXy2dKr7S+PHN91lJSgEqViuZZFCdkMhm6deuGtWvXSnrd0NBQ+Pr6onbt2ibXadSoEUqVKoXQ0FBJhdapU6fw0UcfmVWne/fuWLNmDZ4+fQofiZxaT58+DSJCNzOcB93c3NCyZUuEhoZKKrRCQ0PRpk0bk0UWAHTr1g0ffvghzp49i+7du0tix6NHjxAVFWXWM9EHC60Ccu+edSLD6xNh4t4PXedaQ/v6ljEpqF2CUNJNCQm5IRtiY7VDOAjHhbEYtSEEsWCtWX3CzEnxItwFwc4ud6aju7vhJETnF46F/RIlXg2x9iogOLobcTkpVIq7cC1Mjhw5gpiYGGRnZ0s2ZPf06VNUqFDBLL8vmUyG2NhYTJ8+HdOmTZPEjqysLMTFxWkNSZlC4v8b0r179+K9996TxJaYmBjY2trC29vbrHp///23JPcX8/TpU7Ru3dqsOsIznD17tmRC6+nTp1rXthQWWgXkxQvNlHzduDvGtobi+OhbG02p1A6MqS9opr5AkfoiwBuLwaQbuVqfz46QihIHB01Qz5Ilc5OHh/598bGrq3YcMCGOkb6go7p5qamaHjYh/tfLl9opLq7gMb/EglgQgUql5vP14oXl1xXEmlh86Qqy/I556RymKAkKCsLZs2cljR/l6OiIFAu/tHXr1pXMDoVCAVtbW6SmpppVTxiqktLx28nJCVlZWVAqlXlm9xnDz88P0dHRktkBWPb+CM+wXbt2ktohvralcBNaQAoxZttrg52dxn9JiGzu4aERT0IqWdLwvpOTNDbIZLkR5kuUKPj1lMpcMaZPkIkDteoTaJb6EInDL8hkucNggiCWQqw5OekXYuLYYvltHR1ffX805tUkOTkZjRo1klRoBQUFYeXKlUhKSjLZR+7ly5eQy+UYO3asZHbI5XLUqFED58+fN6vegwcP4OjoKGlQ16CgIACaUAbNmzc3qQ4RwdHREWPGjJHMDsEWc3zWAOQ8w7feeksyO6pWrQpbW1ucP3++QM+ahVYxQ1/MofwiyBuKKm8olIJCob0QsHiGm2CDMHNS7LgM5F2rTgh/IGyFa4rjEDk45DqaC75N+vbt7IruueeHnZ3GX8/MXncolXkFmSDY4uNzk/hY2Bf8iwrqwyYWakDeWa/CcGhMTMHu4eqq7ZMmTsbydJcecnZm4fZf4enTp9i9eze++uorSa/bo0cPjB07FuvWrcO4ceNMqrNmzRrI5XLJhqUE+vTpg/nz52PhwoUmxQvLzs7G6tWr0a1bN9hJ2Cg2aNAAZcuWxcqVK00WWkePHkV4eLjkIS/69OmDNWvW4PTp02jWrJlJdVatWoVKlSqhVq1aktnh5OSEzp0745dffsHYsWMtFvs869BChBkH776bCGdnN6Nr7uluDa3dZyyZO0MtKys3qrrgVC4kweHcUEpKyvW7ys622iM0G4UiV3S5uGg7josdyfPLc3fXOO0XZ4g0749YgOl7f3UnGYi31hwGFj6r1mpdhIkH4lmdYiEmiDHh+yOUc3DInayge15YwNpYfDl9EzwA40skCT2M4qH5xMQkdO7Msw4F9M3gUqvVePPNN3Hs2DGEhYVJHiF++PDh2LVrFy5fvoyKFSsaLXv//n00aNAAAwcOxIoVKyS148WLFwgICEDXrl2xadOmfP3GvvnmG3z11Vf4999/0aBBA0ltWbZsGT766CP8/fff6NChg9GyycnJaNy4MVxdXXH27FlJ45yp1WrUr18fRIQzZ87AKZ+hDGEW6S+//IIRI0ZIZgegmSTQvHlzzJ8/H5MmTcrJ5/AOhYClS/AQ5S7kK/azyu84PV0jnITAm0IydCz1Omq6sZvEr0c8m0vIs/QeYsQzu6TG0TF3OEyf/5Ixf6YSJfL6fBU3iDSfK33LG+nLE+enpGj81tLSNFthPz29qF9VcYLDO4jRbU/T09Px4YcfYu3atdi5cyf69Okj+T1fvnyJRo0aAdDE66pRo4bectevX0ePHj1gb2+P8+fP/z+sj7QIwVPff/99LFmyRK+PlFqtxsKFC/Hpp5/i66+/xowZMyS3Q6VSoVu3bjhz5gy2bdtmMHbZs2fP0K9fP1y7dg1nz541+OwKwrVr19CsWTM0atQI27ZtQ+nSpfWW27NnDwYMGIC2bdvizz//tMpakJ9//jnmz5+PRYsW4aOPPoJMJmOhVRgID7lMmUQQueVZqFff4r1iMVJYiJcLEYb7+B0vOIKPlzimlhBLq2RJzWLRHh7GZw26uBRvsaaLWp07zCgWYMK+7iSO/JIwMUE8EUMcp0scm0vcY1Q8Av2y0BIjtKfnz5/H6dOnsXjxYkRHR+OXX37B4MGDrXbfiIgIdO/eHWFhYRgxYgTefvttBAYGAgBu3bqFzZs3Y82aNQgMDMS+fftQtmxZq9mydu1afPDBByhXrhzGjx+Pjh07aq11uHTpUpw/fx6TJ0/Gt99+a7V1F1NSUhASEoL9+/ejb9++GDZsGOrXrw8HBwc8ePAAf/75J5YuXQp7e3v88ccfVl38++TJk+jbty/UajU++ugj9OzZM2etwwsXLmDNmjX4888/0atXL2zatCnfni9LUavV+PTTT7Fw4UI0bdoUH374IWrXro3atWuz0LImUgUs1bfeGpA35pY1fjz0DakJeeLhFX0BN/Wds7XVH03bWAJyh1z0BavUDYwp/rFNT8/tSdHdGjqXmqrplUlLezV+kIVhZEdHzXCX2D9J6G3z8NAINyHpDom6uLw6YQteBXRn7oqT+I+PvnOGIsALx4D+VR0MDS0a+twnJyfBy4uFlkBuewrY2Nigd+/emDVrFqpXr271e6enp2PBggVYtmxZznR+AV9fX3z00Uf4+OOPTYqUXlBu3ryJr7/+Grt370a2jt9G69atMX36dLRp08bqdqjVavz666+YN28e7ty5o3XO1dUV7777Lr766iuDvUxS8uzZM8yYMQPr16/PMxOxRo0amDx5MgYPHmw14Snmn3/+wYwZMxAaGpqTx0LLihRVZHi5XH+AS33Hrq6GZ4kV96EvKRDWShR6XFJTtY+FffFWN8Cq4M8miDlxqI/CRPAXEtYJFAs4YVKBuPdNEHLiz4wwPCpEuHd21lyHnc6lx1LXg9cV4Xns3bsXLVu2LJJnolKpcOPGDTx48AAAULlyZQQFBVllKCo/EhMTcenSJcTGxsLNzQ116tSRLDCpORAR7t+/jzt37iAzMxNly5ZFvXr1zAr/IBUZGRm4fPkyoqKi4ODggMDAQFSqVKlQBJYuMTExOH36NPr3789Cy5oIDUOnTolwcHAzefFaYZad2EFXcMo1duzomNvTxD98ry5CfK7kZG1xpru4dXx87gzD+HiNYNMVbcIQmbCkTFEhnuEqnoUq7OtbWFycxCsHiOvp1hdvhUW6DS34rC9auyn7xo4Lgm7kd0MR4YWUlZWExYtZaAmw8GSKG7wETyHy++/WiQzPFE/E8bmk7FVXqbT9nYRetvh4TYwsIeq+0MsmdlpPTc3tbRMC2gprCIqXnjEkNsRD2K/SLFSGYZjiAAutArJ7t2Z4Rd+6aYbWVBP/wOnui6eA604RN+Z7YigBef9Z57evG49L3PNgLOUX1iK/c/quZSxfbKduHDF9scVMeQavam+hQpE7HGwtiDQCTJjhGh+vHSpCLOB0HdYFAae7UoHYx078XdBNuhNIuJ+dYZjXhSIXWsuXL8f8+fMRExODmjVrYtGiRWjZsqXesseOHUPbtm3z5N++fVvLaXLHjh346quvEB4ejsqVK+Obb77JMz3YnPsaY8gQs6swrzjGBJgpW33rUJqKPoGhm2dKGSHP1LIFQd+wnqF7GlqSSqohPIZhmFeNIhVaW7duxYQJE7B8+XI0b94cP//8M7p27Ypbt24ZXcTx7t27WmOi4pkPZ86cQUhICGbNmoU+ffpg165deOuttxAaGorGjRsX6L6M+Yh7yQzNOjQkSMQ/uoZ8bHT3CxrLS3y9wg7FwTAMw7x+FKkzfOPGjVG/fn2tSLuBgYHo3bs35syZk6e80KMVHx+PEgYWqAsJCUFSUhIOHDiQk9elSxd4eHhg8+bNFt1XH4U169DeXnspGvGSNGLHeQeH3Jlmdna5TsjiYTaZLHcYRxyLSHcrDPkIebp19B1LHSCVKTgyWd6wA4KjuaHI57pbfeXEMxzzGzIWnN/1DenqG67WPQfoD2RrLESD2OfM0ALuxrbCPXSTvnwhz1wyM5OwbBk7fwuwMzxT3CgWzvBKpRIXL17E5MmTtfI7deqE06dPG61br149ZGRkoEaNGvjyyy+1hhPPnDmDjz/+WKt8586dsWjRogLdNzMzE5kiNZGUlAQAWLVK84MjDpyoG2BR9zg93XD4AGEr9KYIwic+3ugjMRlhMWfddeWEPE/P3PXldJc0MXRsY5MbDNXQczCWjPmsGdvP74dUN0+tttwHS1cAGBIK4jxD60zml2doqZf88nVF0qsWvsOYiDE2IxAwHN/KUN6r6msnkJQELFtW1FYwDFMYFJnQio2NhUqlgrfOKrze3t55gsYJ+Pr6YuXKlWjQoAEyMzOxfv16tG/fHseOHUOrVq0AaBYhNXZNS+4LAHPmzNG75MHduxphIp7G7uycuy/OF++Lk26+rW1umADxLDPd5VHy2xfCBSQn5wo3IcSAkZdqNnZ2GtFlKMip7lY3T7ymo7Nz3h463WRv/+qJCEswNDlCCOAqiFDxfnq6/nxj4j6/fGP3090XtsYc2w2lokB3yNqUCRFA/n55pvrhGert4mFphvnvUOTO8LrBxojIYACyatWqoVq1ajnHTZs2xePHj/H999/nCC1Tr2nOfQFgypQpmDhxYs5xUlISypUrh++/N1hFEsS9F4aiyBv7IRCGFgFt/yV9QyuGku558RALoPkBf/lSkwoL8Ws19GOqbyjKkK+Y+JkJZYTry2Sa1ytshWcobPX1yIiHs7Kz9Ysqdvy2PixoGIYpaopMaJUqVQoKhSJPL9Lz58/z9DYZo0mTJtiwYUPOsY+Pj9FrWnpfe3v7IomGK/RwMNroiprXEUPBL8VbIaCnsWC54pAYYr8qfcOOQhICjAq9rcK+vX3e80JdoTdWqKO7FeroBjYV7+tbtsYUH6n8kqE/C/r+POjzv8rvnLGeLX3nUlKAZs0s/2wwDFN8KDKhZWdnhwYNGuDQoUNaoRcOHTqEXr16mXydy5cvw9fXN+e4adOmOHTokJaf1t9//41m/2/VpLqvwKZNmuEuQP9wgr79rCz96/AJSRxoUhykMiFBk9LSzDYzBxeX3PXzxGvp6eYJy7G4uGi/BkM/QMJ+frMCLd0n0ghOsfO9qUNi4uE4cZwy3a1u3DLxsbhHSuilMuQ7Jq5TEHT9lP4r6PNH0ycGjR3r2zeWZ6iuqefE4tWU/YJ8hxmGKV4U6dDhxIkTMWTIEDRs2BBNmzbFypUrERkZiQ8++ACAZrguKioKv/32GwBg0aJFqFixImrWrAmlUokNGzZgx44d2LFjR841x48fj1atWmHu3Lno1asX/vzzT/zzzz9ai0Dmd19zGDjQ/Nctk+X/I6Kb5+amiTRub6/Jl8u1/40LP+7imYOCgBP8stTq3P0nT0yzVaHQOMh7euYuaizeFx97egIlS2pEGi9ynDtBQFfE5Zf0Ba/NL08s+HQFoDFBqK9MfmWNiVVjdur6oBmCe3EZhnmdKFKhFRISgri4OMycORMxMTEICgrC/v37UaFCBQCahRsjIyNzyiuVSkyaNAlRUVFwdHREzZo1sW/fPnTr1i2nTLNmzbBlyxZ8+eWX+Oqrr1C5cmVs3bo1J4aWKfe1NkS5vS6vCsIsNZksb5Tu5881yRxKlNCILg8PzVY3ifPFC167umpseR0QC+r/CkQasS9EjheSEDVe+BOQmZm3V1eIMi/e1w0/IvReire6jvq6fnBifzlDs1PFvYeGeqT1HRs7Z2zYkWGY/w68qLSFCDE04uIS4erqZjCkgL48Q70c4mEu3STuqdJd8sTQvvCjpW8YMjVVc81XEWfnXOGlbyskYdaieAajoX0Hh1d/yr856PaWCaJDN9ZZfnnmfJ4MbXUFFWMKSQA4bpRAQeNoJSUl4d69e0hPT4e3tzeqVKkCeSFPTc7KysKBAwdw+PBhPHjwAGq1GhUqVECbNm3Qo0cPODo6Fqo9jHUpFnG0XheEIb7iSHa2fhEmDiUhJGGtO90kzpfKKV2wIyZGmusJODrmOmeb44MjOGgLGOvl0PVnE/cOioNq6tvXFeH6/MvE+8UB3VAd9vZ5k6F8IYnDnhhytBdvhSQOkmrKVnjvDP1JMrSvGz9On8+gbl5yMqATyo8xEyLC3r17sXDhQpw4cQJqUQPk6emJQYMG4fPPP4efn5/Vbfnzzz8xfvx4REREoHLlyggMDISNjQ2OHTuGFStWwMvLC9999x3effddo7PbpSIlJQW//fYb9u/fj/DwcMhkMgQEBOCNN97AoEGD4OTkZHUbxBARoqKiEBkZCXt7e1StWhWu1ly41QhPnjzB+fPnER8fDw8PDwQHB6Ns2bJWvSf3aFkIRzLWhkgj0ISFiOPjjSehjBAWoiDCQRz+QpilJnZY/y8h+PAJAkXfzD/xsa7YEQsjR8fcPCFMiFBe34oEurHO7Oxer15EKeH2Qxtzn0dKSgqGDRuG7du3o2XLlhgyZAjq168PZ2dnPHnyBIcOHcIvv/yCrKwsrF27Fv369bOa7TNmzMD06dPxxhtvYNasWahbt67W+Xv37mHmzJnYuHEjRo0aheXLl1u1t23fvn0YMWIE4uLi0KZNGwQFBYGIcPXqVZw4cQK+vr5Yt24dOnToYDUbBLKzs/Hzzz9jyZIluHfvXk6+QqFAp06d8NVXX6Fp06ZWtwMAzp07hylTpuDo0aN5zrVt2xZz5szRcjHKD3M+syy0LOS/2lDqxoMyx2HbUF5WVu6sysRE7V4yIQir4MSfkpLb+5aeXvDXozsxQQhBIBYj4ijruku+GPIB0u350OcfZKzeqxqyQhyPzJzeIkOhJ8zJs2TfUDJ2Xl8oDUPhNXTDT+jr8dKXn5GRhClT/nvthyHMaU+VSiU6deqEixcv5ogofb1ECQkJGDVqFH7//Xds2bIFb731luR2r1q1Cu+//z6++eYbTJkyxWhv1dq1azFixAhMmzYN06ZNk9wWQLOO74ABA9C9e3csW7Ysz9q94eHhGD16NI4cOYKdO3eiZ8+eVrEDAF68eIFevXrh3LlzePvtt9G/f38EBAQgIyMD58+fx88//4zr169jxowZ+PLLL63a07ds2TKMGzcOtWvXxqeffor27dujdOnSeP78OQ4fPozvv/8e165dw5IlS/Dhhx+adE0WWoWA8JA//jgR9vZuRuPu6G6NDUMYyzM05GRsvyBJn0DiTwvDSAH7aIkx50friy++wPfff4+jR4+iefPmRsuq1WoMHjwYf/75J27evImKFStKZvOzZ89QpUoVDBgwACtXrjSpzvTp0zF79mxcv34dgYGBktkCaERUrVq10K9fP/z6668Ge82ys7MREhKCf/75B7du3UKZMmUktQMAMjIy0LJlS0RGRuLPP/9EkyZN8pRRqVT49ttv8fXXX2P+/PmYNGmS5HYAwLZt2xASEoIJEyZg/vz5sNEzOyk7OxuTJk3C4sWLsW3bNrz55pv5XpeFViFQWItKFyfEATGFHgPxsJ7u1tSeBH3H+UWE1xf1XS7P7UHT5yAu+NIISQp/KDu7XOd9d/fcJMQtE2ZgimdhenhoyhuKbG8o0r25GBL0xrb6FnE2JPaFrbB0UGqqpndSPCFD3DspbIVZiGIne2Emo+57Vlxar7wrDSRBrWahJWDqj1ZMTAwqVqyIKVOmYPr06SZdOyUlBVWrVkXnzp2xdu1aiSzWiKYFCxYgMjISHh4eJtXJzMxElSpV0LVrV5PFmakMHz4cBw8exL179+AsBHc0QEJCAgICAvD222/jxx9/lNQOAJg1axZmzZqFs2fPon79+kbLfvbZZ1i0aBFu3bqFKlWqSGpHYmIiKleujPbt22PLli1Ge82ICCEhIThy5AgePHiQ7/eShVYhIDzkJk0SYWOT9yGLHWv1LeGim2doK0Y3OKh439SeM0M/nPp+SIWeLbG/k26PF396NIiX7ZFi6E8u1wSLFYSZIMSEWGW6AWddXXPXkdRNtrbmCTFhKFffRAkhLpu5625a21fO1lYzW9XJSbMVXrvgM2bKvuBbZsifzdCxOPK+vmFPfc/+v+p6YAhTn8cPP/yAKVOm4OnTpyhRooTJ1//2228xe/ZsxMXFSTb7r379+ggKCsqJ82gqn3/+OX799VfExMRINlyWnZ2NkiVLYtKkSfj6669NqvPZZ59h3bp1ePbsmaTDdkqlEn5+fhg0aBAWL16cb/n09HT4+/vjrbfewpIlSySzAwCWLl2Kjz/+GI8ePTKp5y4qKgoVK1bEokWL8h1C5FmHhcjZs0VtwauLePkXQ1th35CfjSEfHN31CPVt9eXpikZTAnsKPV3icAe6wkFqnyq1OtdP7fHjgl1L8EMThIHY+V2l0g5wm55u3RmNTk4aUejiop1084RjZ+fcJIgo3a0gJpnXn1OnTqFZs2ZmiSwA6Nq1K6ZOnYrLly/nrBJSEIgIN2/exLBhw8yuW7FiRTx79gwRERGSDWWGh4cjOTkZLVu2NLlOtWrV8OLFC9y6dQs1a9aUxA4AuHDhAuLi4jB48GCTyjs6OuLNN9/EgQMHJLNB4ODBg2jTpo3Jw6NlypRB69atcfDgQZN9tUyBhVYBefttzQ8WkP8Pv76FkE3d6q5npzsEZ2zfUDL0T1zfsiGm5ImPxULodUQQKLpBOHVjTxlaakk3T9gKvUbCEJtwriDxqcQBclNTLbuGePhVvG6iMMPRwSFX+Li6apLQCyf0ygm9bsKMRGNbcVgHO7vcyQjMf5uoqChUr17d7HpeXl4AgJ9//lkSoZWdnQ2lUmlRb+ST/y/LER4eLpnQSv3/F9sce168eAFAMytSSqH14MEDAEBQUJDJdaKionD//n0olUrY2dlJaou5sytPnTqFjIwMyWwAWGgVmJ9/1vjTMP8tFIrcoKimQKQRTUJICyHMhb79hASNuFAohBlqVn0pJqG73FNhI14gW7wIte4wnr7Fq81Zh1CfD6E+n0Jxnq4vIKB/X3z8KrynxRE7OztkWvCvQ/X/LuiqVatKYoetrS3c3NwQY0Gwv8qVKwMAgoODJbEFAHx8fAAAkZGRaNCggUl1hDWC27VrJ5kdAHKGIdVmdPML4krqmYdyudwsOwDAycmJhRbDFCXZ2drCSEiGjsXbgi65JJPl+muJF/8uUULTWySOhi9ExDe2dXDQ2CTuVRMc1oUwG4KflRBaQwhoK14EXRwVXphkIPXyUoLf4Ku0bBVT+FStWhVnzpwxu97t27cBQNJ4Wo0aNcLRo0cx2czIsydPnkRgYKCkATt9fX1RpUoV/Pnnn+jTp49Jdfbs2YM6der8f1KXdAhi9urVqyb3Hrq7u6N69eqwldgHoEqVKrh27ZpZdYKCguDp6SmpHSy0mP8k6en6BZK+JC6TlFSw+9rY5J1pKOyLk+DkriumissQGpHmGesTZ+IhVN0kHkIVxJ0wdKq71I94GSHmv0HXrl3xyy+/4Nq1a6hdu7bJ9TZv3oyKFSuiWrVqktkycOBAvPfee7h586bJQ28xMTHYunUrpkyZIpkdgKYnaNSoUZgyZQo++eQT1KpVy2j58+fPY+fOnVi+fLmkdgBAvXr14Ovri7Vr15oktJKTk7F9+3YMHz5cclu6d++OUaNG4cGDB6hUqVK+5cPDwxEaGir5jFCedWghPGuo6FGrNb0uhnqRjO0XtGfYzc3wItn6hJSwdXZ+vX3XigIiTU+jeH1PfSE7dMN36B4rlfkH4zUUdNeUWb7ifaUyCfv3c/shYGp7mpWVhapVq6Jq1ao4cOCASRHWL1++jEaNGmH+/Pn4+OOPJbM5MzMTtWrVgoeHB44fPw4HBwej5VUqFXr16oXz58/j7t27JoeEMJWMjAwEBwcjJSUFhw8fhr+/v95yd+/eRfv27eHn54dTp05J3osEaGaHTpo0CUePHkWrVq0MliMifPDBB1i/fj3u3r2LcuXKSWpHWloaAgICULt2bezduxcKhcJgWZVKhe7du+P69esICwvLd5kiDu9QCLDQkgZhdp14eR6x31J+y/gU5NOrUBgXS4byS5TQ9EwxjKVw+6GNOc/jr7/+QteuXfHpp59i7ty5Rv16IiIi0KZNG5QoUQLnzp2T1NEaAP7991+0atUKLVq0wJYtWwwOOaWmpmLEiBH4/fffsXfvXnTt2lVSOwQiIiLQvn17xMbG4osvvsDQoUNz/LeioqKwdu1azJ07F+XKlcPhw4dz/LSkJjs7Oyd6/+bNm9GtW7c8ZTIyMvDZZ5/hxx9/xKpVq/Dee+9ZxZa//voL3bt3x8CBA7Fy5Uq94T3S09Px/vvvY9OmTdi/fz86d+6c73VZaBUC3FBqUKm0fXoSEkxLglBKTCx4LC5n57yCSLc3SZ9gcnXl3iWmaOD2Qxtzn8fixYsxYcIE9OjRAz/88EOOg7mASqXCli1bMGHCBLi6uuLYsWN5lqORimPHjqFfv35QKBT4+OOP0b9/f1SuXBkymQwRERHYvXs3vv/+e8TFxeG3336z6rqLgCYY6eTJk7FmzRpkZWWhVKlSICLExcXB3t4eo0aNwuzZs62+qHNycjIGDBiAffv2oWPHjnjzzTcREBCA9PR0/Pvvv1i9ejViYmKwePFijB492qq2bNmyBcOGDYOPjw/GjRuHDh06aC3Bs2TJEjx9+hTr1q1DSEiISddkoVUIFOeGkkjj1yIEnhTWEhRvhfUGxWsP6ttPSZHGJkdH/b5KhnyYxOck/pPKMFanOLcf1sCS5/Hnn39i9OjRePr0KZo3b661qPSRI0cQFRWFvn374qeffkLp0qWtan9MTAy+/vprrF+/HpmZmbCxsYFMJkNWVhZsbGzQr18/fPPNN3kEoTWJjY3F4cOHcf/+fchkMgQEBKBDhw6SD1kag4iwbds2/Pjjjzhz5kzODEA3Nzf07t0bU6ZMsShchyXcvXsXX3/9NXbt2oUs0awaW1tb9OnTB7NmzTJrVioLrULAGg1ldnaur4h4iRjB8deQI7GxPF0BJexLPUXfzs7wjDh9ebrnhVhkDPNfgIWWNpY+j7S0NGzduhV79+7F7du3kZ6eDm9vbzRp0gRDhgwxOdSBVCQnJ+PUqVN48OABiAjly5dH8+bNUbJkyUK141UkNTUV0dHRsLe3R5kyZYz6S1mT5ORkXL16FfHx8ShZsiRq165tUe8eC61CQHjILVsmQi5307uos6E8sfOtWFBJHV3cFBwdc6Nwi7fu7rnr84nX6TO0z0KJYUyHhZY2/DyY4gYvwVOInDxpvWuLo2Xb2eUuOyLEQhLHTRIfi2MpCcJJn5hydmanboZhGIaxJvwzW0DWrNEIF1MjSctk2mvOGdq3sWFHbYZhGIYp7rDQKiD9+vESPAzDMAzD6KeYxJlmGIZhGIYpfrDQYhiGYRiGsRIstBiGYRiGYawE+2gVkPHjNc7rMpnpSXCOF5LusaE8Gxv9ydbW8DnhvFBG2Nc9Li6LFTMMwzBMcYKFVgFZt66oLZAGuTyv+LKz0xZmusemlDGlTn755iQWjAzDMMyrBAutAjJliqZHi8j0JA5iqlLlpvyOVSpNRPesLM02vySUy8rKTdnZmuvoolbnRqAvzgiC0VAy1MOnb99QniX7liRxL6a+fSFcCMMUNXPmzMHOnTtx584dODo6olmzZpg7dy6qVatW1KYxTJHDQquATJ5c/MI7qNV5BZg+UaZU5i1j7JwlecbuYey8oUj6r4tgNBVBdIm3pu4by8sviYe2zdk3JdacofhzuueMJaF8flvdPH3D/Oa4BQgJMJ4n1RqhrwrHjx/Hhx9+iEaNGiE7OxtTp05Fp06dcOvWLTg7Oxe1eQxTpLDQKiBJSdrH+noYdPPEja6wNSdPfM4S5PLc4KjFGUOCUZ9o1Jevr9fP2L5uT6GhfaGO0ANpTtKtJ/RkGiK/8wxTGPz1119ax2vXroWXlxcuXryIVq1a5SmfmZmJTNG/oSTdhpRhXiNYaBWQcuWK9v6GRJixf+am7uvrSTB0ztweB2O9Gfn1gOie17fN75y+Yzs7wMHBtIkJUidjw4BE2kPHggDTFWm6Q8zirb687Gz9w9OmJH3D3/nt61v7U3cdUN1zKpX2kLu+pHtOt05+W9083br6hv6NuQYI75m+vP8KiYmJAGBwMeU5c+ZgxowZhWkSwxQZvKi0hQgLSgKJAIrZ2CHzSmKqoDNH+OVX1hSBaki05jccaOycqcJc35CfqXmA5cN+Ql3x1ti+IfS1rkRAcnISmjV7PRdRJiL06tUL8fHxOGlgMVh9PVrlypXD+fPnUadOHdgVQXe7Wq3G/fv3ERUVBXt7ewQGBsLDw6PQ7XiVuH//Pvbv349bt24hLS0NpUuXRnBwMLp16wZXV9eiNq/IICLcvXsXgYGBvKh0YfDsWV4fLWPSVfffrb5/vMbyCpry+9cuPjbUa2Bo35JkrEfDlJ4Qc3pTDPXK5JdnLN+clB/Ca8vKMu2zxzCvImPHjsW1a9cQGhpqsIy9vT3s7e3z5AcHB8PR0RHdunXD5MmT0bBhQ2uaCgBITU3FggUL8PPPPyM6OjonXyaToU2bNpg6dSrat29vdTsErl+/jrVr1+LUqVOIiYmBk5MTatasiV69eiEkJETvc5Oahw8fYsKECdi9e3eO6HRxccGpU6ewcOFCuLq64tNPP8Xnn39eJKK4qEhMTMTChQuxbt06REZGmlyPe7QsROjReh3/kTLWQTwEaM1kiYA0tDWWZ4og1h0CzG/Yz9jQoL4/Aob+HAjP29wkfq/E2/z2jfVu6TunVichLu71az8++ugj/PHHHzhx4gT8/f1Nrie0p/v27cPNmzexZs0a3L17F1988QVmzpwJuZXitty9exdvvPEGHj9+jOHDh6N3796oVKkS0tLS8O+//2LVqlU4d+4cxo0bhx9++MFqdgBASkoKxo8fjzVr1sDHxwcdO3ZE+fLlkZqain///RenTp2Cv78/1q1bp9fvTSqOHj2KPn36wN3dHTNnzsSbb74JJyennPMRERFYsmQJlixZgsaNG2PPnj2F0vMXGhqKdevW4ezZs3j58iU8PDzQqFEjDB06FG3btoXMylOwz5w5g/79+yMhIQFDhw5Fq1atMHDgQNO+w8RYRGJiIgGgxMTEojaFYZhixuvWfqjVavrwww/Jz8+P7t27Z3Z93eeRnZ1N3377LclkMpo4caLU5hIRUXR0NPn5+VGNGjUM2qxWq+nHH38kuVxOEyZMsIodRERJSUkUHBxMzs7O9NNPP5FSqcxT5tatW9SqVSuysbGhP/74wyp2XLt2jZycnKhjx46UkJBgtOyZM2eoZMmS1Lp1a8rKyrKKPURECQkJ1K9fPwJAVapUodGjR9P06dPpww8/pOrVqxMA6t69O7148cJqNvz777/k5OREzZs3p8ePHxORed9hFloW8ro1lAzDFB6vW/sxevRocnd3p2PHjlFMTExOSktLM6m+oeexePFiAkAHDhyQ3Oa+ffuSj48PxcTE5FtWsOPYsWOS20FENHjwYHJ1daULFy4YLadUKqlfv37k5OREYWFhktqgUqmoQYMGFBQURKmpqSbVOXHiBMnlclq4cKGktggkJydT/fr1qUSJErR582ZSq9Va59VqNe3cuZNKlSpFNWrUoJcvX0puQ0ZGBlWpUoUaNWqk9VxYaBUCr1tDyTBM4fG6tR8A9Ka1a9eaVN/Q81Cr1dSqVStq1KiRpPbevn2bANCvv/5qUnlBhHTu3FlSO4iIzp07Z9azSklJoQoVKlD//v0ltWPfvn0EgI4fP25WvZEjR5KXl5feXriCMnLkSHJxcaErV64YLXf37l3y8PCgkJAQyW34+eefSS6X061bt7TyWWgVAq9bQ8kwTOHB7Yc2xp7Hzp07CQDdv39fsvvNnTuXnJ2dKSMjw+Q6y5YtI4VCQcnJyZLZQUT03nvvkb+/P6lUKpPrLF26lBQKhaTDZe+++y7VqFHD7HqXLl0iAHT48GHJbCEiun//PslkMlqyZIlJ5detW0cA8hVl5tK2bVvq0qVLnnxzvsO8MhzDMAzzyiI4fv/999+SXfP27duoVauWWTP4KlSoAJVKhcOHD0tmBwCcOHEC3bt3N8vRvkePHlCpVDh9+rRkdly6dMkiJ/s6deoAAI4cOSKZLQDw+++/w9nZGe+9955J5QcNGoRSpUph69atktpx8eJFtGnTpkDXYKHFMAzDvLIIQU9/+uknya6ZmZlpdpgEIe6XOASEFERFRaFSpUpm1Sn3/0jZ33zzjWR2vHz5EqVLlza7niAQpbQFAC5fvoyGDRvC0dHRpPI2NjYgIsybN08yG9RqNZKSklCqVKkCXYeFFsMwDPPKEh8fDwAYNWqUZNcsV64cwsPDQRZEN+rVq5dkdgCamGLp6elm1cn6f7C9+vXrS2aHm5sbEhISzK4nPMMRI0ZIZgugCXehCQpuOnFxcVBJuCaZXC6Hq6srYmNjC3YdiexhGIZhGMk5fvw4AKBTp06SXbNt27Z48uQJLly4YHKdnTt3omrVqvDz85PMDgCoXr06Ll++bFYdofzQoUMls6NWrVo4d+6c2fXCwsIAAL1795bMFgDw8fExKygoADRp0gR9+vSR1I6GDRvmfAYthYUWwzAM80pCRFi8eDEaNmyIKlWqSHbdjh07okqVKpgyZQrUQoRbI1y+fBlbtmzBmDFjJLNBoGfPnti7dy+eP39ucp1169bB29sbjRo1ksyO3r174/z587h+/bpZ9dasWQNXV1e0a9dOMlsAoGXLlrhy5QoeP35sUvnY2FhcvHgRbdu2ldSOt99+GwcPHsSdO3csv4ik7vkWsGzZMqpYsSLZ29tT/fr16cSJEybVCw0NJYVCQXXq1NHKb926td5pxt26dcspM23atDznvb29zbKbZw0xDGMp3H5oY+h5/PjjjwSA9u/fL/k9Dx48SABo3LhxRmf8hYeHU4UKFahu3bqUmZkpuR2xsbFUokQJGjRoUJ44Ufr4999/ycbGhr777jtJ7cjMzKRKlSpRmzZtKDs726Q6t2/fJgcHB5oyZYqkthBpgriWLFmS3n33XZPKf/TRR+Ts7Cx54NL09HSqXLkyBQcHa8WFKzbhHbZs2UK2tra0atUqunXrFo0fP56cnZ0pIiLCaL2EhASqVKkSderUKY/QiouL0wqYd+PGDVIoFFoxSqZNm0Y1a9bUKvf8+XOzbOeGkmEYS+H2Qxt9keG/++47kslkVo3Ivnz5cpLJZNSmTRsKDQ3VEjqJiYm0ZMkSKlGiBFWpUoUiIyOtZseGDRsIAE2aNMmoyLl06RJ5e3tTcHCwVUTfkSNHSC6X0/Dhw/ON9v7gwQOqVKkSBQYGUkpKiuS2EBGtXr2aANCCBQuMllu5ciUBoB9++MEqdpw/f56cnJyoZcuW9OTJEyIqRkIrODiYPvjgA6286tWr0+TJk43WCwkJoS+//JKmTZuWR2jp8sMPP5Crq6vWB8GUevnBDSXDMJbC7Yc2wvM4cOAAzZ8/n2rUqEEymYy++OILs+JLWcI///yTs5RL6dKlKTg4mGrVqkW2trY5osMaEcd1WbRoEcnlcmrUqBHt3LkzJwq5Wq2mmzdv0sSJE8nOzo4aNGhgdseAOfz222+kUCioSZMmecQnkaaHZ8WKFeTh4UGVKlWiR48eWc0WtVpNn3/+OQGgfv360eXLl3PsUavVdOPGDRo0aBABoA8//NCkHkFLOXXqFPn6+pKzszONGTOGtmzZ8uoLrczMTFIoFLRz506t/HHjxlGrVq0M1luzZg01bNiQsrKyTBJMQUFBNHLkSK28adOmkZOTE/n6+lLFihUpJCSEwsPDjV4nIyODEhMTc9Ljx4+5oWQYxiJYaGkjPA8AZG9vT3369KHz588X2v1VKhUdOXKEvv76axoxYgR9+OGHtGzZMqv2YukjNDSUmjZtSgBILpeTl5cXOTs7EwByd3en6dOnmxVk1VJOnTpFQUFBBIAqVapE/fv3p3fffZc6d+5Mrq6uJJPJaOjQoRQXF2d1W4iINm/eTGXLls0Rw0FBQeTt7U0AyMfHh9asWWNVkSUQHx9PX375ZY4tpn6HZUQWzG+VgOjoaJQpUwanTp1Cs2bNcvK//fZb/Prrr7h7926eOmFhYWjRogVOnjyJqlWrYvr06fjjjz9w5coVvfc4f/48GjdujHPnziE4ODgn/8CBA0hLS0PVqlXx7NkzzJ49G3fu3MHNmzfh6emp91rTp0/HjBkz8uSbtHI3wzCMiKSkJLi7u3P78X+E53Hu3DnUqVPH7BhXrxt37txBaGgonj59CkdHR9SsWROtW7c2OaaUFKjVahw6dAj79u3DrVu3kJaWhtKlSyM4OBhvvfUWAgICCs0WQBPS4vDhwzh37hzi4uLg4eGB4OBgdOjQodA/L0SE27dvo2bNmiZ9h20KyS6DyGQyrWMiypMHACqVCgMHDsSMGTNQtWpVk669evVqBAUFaYksAOjatWvOfq1atdC0aVNUrlwZv/76KyZOnKj3WlOmTNE6l5SUlBM0jmEYhik41atX/8+LLEDzHKpXr16kNsjlcnTu3BmdO3cuUjsEbG1t0aVLF3Tp0qWoTYFMJkPZsmVNLl9kQqtUqVJQKBR4+vSpVv7z58/h7e2dp3xycjIuXLiAy5cvY+zYsQA0ipuIYGNjg7///ltremlaWhq2bNmCmTNn5muLs7MzatWqlRMPRB/29vbcADAMwzAMYxZFFkfLzs4ODRo0wKFDh7TyDx06pDWUKODm5obr16/jypUrOemDDz5AtWrVcOXKFTRu3Fir/LZt25CZmYnBgwfna0tmZiZu374NX1/fgr0ohmEYhmEYEUU6dDhx4kQMGTIEDRs2RNOmTbFy5UpERkbigw8+AKAZrouKisJvv/0GuVyOoKAgrfpeXl5wcHDIkw9ohg179+6t1+dq0qRJ6NGjB8qXL4/nz59j9uzZSEpKwjvvvGOdF8owDMMwzH+SIhVaISEhiIuLw8yZMxETE4OgoCDs378fFSpUAADExMSYHYIfAO7du4fQ0FCDq70/efIEAwYMQGxsLEqXLo0mTZrg7NmzOfdlGIZhGIaRgiKbdVjc4VlDDMNYCrcf2vDzYIob5nxmea1DhmEYhmEYK8FCi2EYhmEYxkqw0GIYhmEYhrESLLQYhmEYhmGsBAsthmEYhmEYK1HkS/AwDMMwTEFQq9W4f/8+Hj16hKysLJQuXRo1a9aEs7NzodoRGRmJa9eu4eXLl3B2dka1atVQo0YNyOXcp/FfhoUWwzAMUyx5/PgxFixYgM2bN+P58+da52xtbdGhQweMGzcOnTt31ruGrhRkZ2fj119/xeLFi3H9+vU85319fTFy5EhMnDgR7u7uVrHhVefRo0cIDQ3FkydPoFAo4O/vj9atW6N06dJFbVqhwDKbYRiGKVYQERYvXoyqVatiw4YNGDJkCP7++288fPgQUVFRuHDhAhYuXIjY2Fh07doVPXr0wIsXLyS3IyIiAs2bN8d7772HypUrY8eOHXjy5AkyMjIQGxuLw4cPo2/fvvj+++8RGBiIY8eOSW7Dq8ypU6fQpk0b+Pv7Y8iQIZg3bx5mz56NN998Ez4+Pujfvz/u3btX1GZaH2IsIjExkQBQYmJiUZvCMEwxg9sPbcx5Hmq1mkaPHk0AaNy4cZSUlGS07K5du6h06dJUqVIlioyMlMzm8PBw8vPzo4oVK9Lp06eNln38+DG1a9eObG1tae/evZLZ8KqiVqtp+vTpBIAaNGhAmzdvpvj4+Jzz0dHRtHz5cqpYsSI5ODjQxo0bi85YCzHnM8tCy0K4oWQYxlK4/dDGnOcxZ84cAkC//PKLydd/+PAhVaxYkWrVqkVpaWkFMZWIiDIyMqhWrVpUpUoViomJMamOUqmk3r17k4uLC4WFhRXYBlOIjY2lP/74g5YtW0br1q2jq1evklqttvp9BZE1a9YsUqlUBsulpqbSO++8QzKZjLZt22Z1u9RqNSUmJlJ6enqBr8VCqxDghpJhGEvh9kMbU5/HrVu3yMbGhqZMmWL2Pa5fv0729vYW1dXlu+++IxsbG7p69apZ9ZKTk8nf35+6detWYBuM8fz5cxo2bBjZ2NgQgJwtAKpVqxb99ddfVrv3yZMnc0SWKahUKnr77bfJxcWFHj9+bBWb/vnnH+rduze5u7vnPAd/f3/6+OOPLe7lZKFVCHBDyTCMpXD7oY2pz2PgwIFUoUIFysjIsOg+X375JTk6OlJcXJxF9YmIsrKyyMfHh95//32L6m/cuJEA0M2bNy22wRj37t2jcuXKUcmSJen777+nyMhIUqvVlJqaSn/99Re1bduWANC8efOscv+WLVtSgwYNjPZk6ZKQkEClSpWiMWPGSGpLamoqDRgwgABQ3bp1adasWbR582Zau3Ytffjhh+Tp6UmOjo60du1as6/NQqsQ4IaSYRhL4fZDG1OeR3JyMtnb2xdIIDx79owUCgX99NNPFl/jxIkTBIDOnz9vUf2MjAxyc3MzucfHHFJSUiggIICqV69usHdIrVbT1KlTCQDt3LlT0vuHh4cTANqyZYvZdadOnUru7u6kVColsSUrK4s6duxITk5OtHHjRr1DpklJSTRixAgCQCtXrjTr+uZ8hy2adfjw4UNLqjEMwzCMRZw9exaZmZl44403LL6Gl5cXgoODcfz4cYuvcfHiRTg6OqJ+/foW1be3t0dwcDAuXrxosQ2GWLJkCSIiIvDnn3+ibNmyesvIZDLMmjULPXv2xIQJE5CVlSXZ/U+dOgUA6NKli9l1u3XrhsTERNy4cUMSWxYsWIAjR45gz549GDhwoN7wHq6urli1ahVGjx6NsWPHIiwsTJJ762KR0KpSpQratm2LDRs2ICMjQ2qbGIZhGEaL+/fvQ6FQoGrVqgW6Tnp6OjZv3mxx/efPn8Pb2xsKhcLia/zzzz/4448/LK5viLVr12LQoEH5PiOZTIbp06cjMjISR44ckez+jx8/hqenp0Xxwry8vAAAGzZsKLAdaWlp+O677zBmzBi0a9fOaFmZTIYFCxbAy8sL3377bYHvrQ+LhNbVq1dRr149fPLJJ/Dx8cGoUaNw/vx5qW1jGIZhGAAageTg4FAggQMAV65cKVB9Ozs7ZGZmFugarq6uBaqvj/j4eISFhaFTp04mla9bty4AYP369ZLZIJfLoVarC3QNKYK6HjlyBAkJCRg7dqxJ5R0dHTFixAjs3LkTKpWqwPfXxSKhFRQUhIULFyIqKgpr167F06dP0aJFC9SsWRMLFy60SmA4hmEY5r9LyZIlkZqairS0tAJdp1+/fmjatKnF9StVqoSYmBgkJCRYfA1/f3+MGDHC4vr6EOwpVaqUSeWFobSNGzdKZkOlSpUQHx+fJ0q/KURERAAA+vfvX2A7rl27Bg8PDwQEBJhcp3LlykhKSiqwENdHgSLD29jYoE+fPti2bRvmzp2L8PBwTJo0CWXLlsXQoUMRExMjlZ0MwzDMf5hatWoBAC5cuFCg61y7dg316tWzuH7r1q0BAPv27bOofkREBK5du4Y2bdpYbIM+BIEVFRVlUnmh5+nzzz+XzIZWrVpBJpNZNCz6xx9/wMfHB9WrVy+wHWlpaXB1dTVr2aW4uDgAmiFqqSmQ0Lpw4QLGjBkDX19fLFy4EJMmTUJ4eDiOHDmCqKgo9OrVSyo7GYZhmP8wderUga+vL7Zu3WrxNS5duoSwsDB069bN4mtUqFAB7dq1w/fff2/RMNmCBQvg7u6O3r17W2yDPlxdXVG3bl3s3r3bpPInTpwAgAJNLtDFx8cHPXv2xLx588zy337y5AnWrFmDESNGSLIAt6+vL2JiYswa4hV8xDp27Fjg++fBrPmM/2fBggUUFBREtra21KtXL9qzZ0+emBlhYWGkUCgsuXyxgKdnMwxjKdx+aGPq85g+fTo5ODjQo0ePzL6HWq2mHj16kL+/P2VlZVlqKhERnTp1igDQnDlzzKp34sQJksvlNHfu3ALd3xA///wzyWQyOnXqlNFyWVlZ1LRpU6pVq5bkkeJv3bpF9vb2NHz4cJOunZ6eTi1btiQ/Pz9KSEiQxIZr164RAPrzzz9NrvP2229TzZo1TS5v9ThaVapUoW+//dbo0gOZmZm0bt06Sy5fLOCGkmEYS+H2QxtTn0dSUhKVKVOGWrVqRZmZmWbd45dffiEAtH379oKYmsMXX3xBMpnM5PhLZ8+eJQ8PD2rTpk2BhZ4hsrKyqHnz5uTl5UUXLlzQWyYtLY0GDBhANjY2+QoyS/n1118JAA0ePNjoe/r48WNq1aoVOTo6UmhoqGT3V6vV1LRpU6pXr55JcbkuX75MCoWClixZYvI9OGBpIcANJcMwlsLthzbmPI8TJ06QnZ0d9ezZk1JSUky6/m+//UYKhcLiaO76UKlU9OGHHxIAGjBgAD148EBvuYSEBJo2bRrZ2tpS8+bNtRZXtgYvXrygRo0akY2NDb3//vv0zz//0IMHD+jKlSu0ZMkSqlSpEjk4ONDvv/9uVTs2bdpEzs7O5OXlRdOmTaOzZ8/S8+fPKSYmho4cOULjx48nZ2dn8vX1lVRkCZw/f55sbGzonXfeMSpsHz16RP7+/lSnTh2zxLvVhdaaNWv0LgC5bdu217oXSww3lAzDWAq3H9qY+zz27dtHzs7OFBAQoNd1ReDhw4c0aNAgAkDDhg2TvCdJrVbTb7/9RqVLlyaZTEYtW7akSZMm0dy5c+mrr76inj17kpOTE9nZ2dGUKVMsXjrIXDIyMui7774jPz+/nLX98P81D/v27Uu3bt0qFDsiIiLo/fffJ1dXVy07AJC3tzd98cUXVhWeGzduJIVCQU2bNqXjx49rDWWmpKTQTz/9RJ6enuTv72/2cLQ5n1kZEZG5fl3VqlXDTz/9hLZt22rlHz9+HO+//z7u3r1r7iWLHUlJSXB3d0diYiLc3NyK2hyGYYoR3H5oY8nzuHPnDj744AMcP34cFStWRKdOnVC1alXY2dkhOjoap0+fxsmTJ1GqVCnMmzcP77zzjlmz0MwhNTUVW7duxZ49e3Dt2jW8fPkSzs7OqFatGjp27IihQ4fCz8/PKvc2hlqtxt27dxEVFQVnZ2cEBQVZJYZXfiiVSly7dg1PnjyBQqGAv78/atSoIYnje36EhoZi9OjRuHHjBkqXLo0qVaogIyMDt27dglKpxMCBA7Fo0SKTw2IImPOZtUhoOTg44M6dO6hYsaJW/qNHjxAYGIj09HRzL1ns4IaSYRhL4fZDG0ufBxHh1KlT2LhxI0JDQxEREQGlUgkvLy/Uq1cPPXv2xNtvvw1nZ2crWs+86qjVapw4cQJHjhzB48ePYWdnhxo1aqBnz57w9/e36JrmfGZtLLmBl5cXrl27lkdoXb16FZ6enpZckmEYhmHMQiaToUWLFmjRokVRm8K8wsjlcrRp00by2GWmYpHQevvttzFu3Di4urqiVatWADTDhuPHj8fbb78tqYGvOmXLAjJZbgLy35fJALlcfzJ2zpJeViv1lEt6P0ttLMzXVhxe16tio6FzltR5Fe6lmydFGQnX8WUY5hXHIqE1e/ZsREREoH379rCx0VxCrVZj6NChVluU8VUlObmoLWAYhmEY5lXFIqFlZ2eHrVu3YtasWbh69SocHR1Rq1YtVKhQQWr7Xnk+/BCwtQXUakCl0myFJD4W9lUqzb/ZjAwgMxNQKjVbISmVec9J8e9XJgNcXQF3d+1UooT+Y1dXy3rQzMV8D0HL6xXmvSxFahuNXe9VefZSn5Pyerp5UpVJSwPGjDFsC8Mwrw8WOcMzhevMqlJpGubERCAhQZMM7YuP4+OBuDjg5Uvz72ljA/j6AmXKAH5+uUn32N298IcnGaa4w87w2vDzYIobVneGV6lUWLduHQ4fPoznz5/nWe/pyJEjllyWMYBCoelhcnXV+ISZS3a2RnC9eAE8f67ZGtuPi9PUefxYk4zh5JQrusqWBcqXBypU0GyF/SKYTcwwDMMwrwQWCa3x48dj3bp16N69O4KCgqwWm4SRBhsbwNtbk0whKwt49gyIigKio3OT7nF8vKan7f59TTJEiRLaAkxXiPn4FM4wJcMwDMMUNhYJrS1btmDbtm0FWgGdeXWxtdX0TuXXe5aWBsTE5IqwJ0+AyEggIiJ3Gx+fO6R57Zr+69jbAxUrApUqAf7+mq14n0cSGIZhmOKKxc7wVapUkdoWppjh5ARUrqxJhkhO1gw/CuJLV4hFRWkc/u/e1SR9eHrmii6xEKtSBShXTjO0yjAMwzCvIhYJrU8++QSLFy/G0qVLediQMYqrK1CjhibpQ/AFe/gQePAgdyvsCz5jcXHAhQt569va5oou3VShguY8wzAMwxQVFgmt0NBQHD16FAcOHEDNmjVhq/NrtnPnTkmMY15/bGw0vVT+/kC7dnnPJydrBJeuEAsP12yVSsO9YQqFZkhSLL4CAjTJ359FGMMwDGN9LBJaJUqUQJ8+faS2hWHy4OoK1K6tSbqoVBq/MMEZX5zCw4H0dM02PBw4eFC7rkKhEVsBAUDVqtpbHo5kGIZhpILjaFkIx315tVGrNY76YvEVFpa7TUszXNfeXuN3pivCqlbVzJDk0XKmoHD7oQ0/D6a4YfU4WgCQnZ2NY8eOITw8HAMHDoSrqyuio6Ph5uYGFxcXSy/LMJIgl2uCq5YpA7RurX2OSDNTMiwMuHdPexsernHOv3VLk3RxcdEWXkIKCAA8PArntTEMwzDFB4uEVkREBLp06YLIyEhkZmaiY8eOcHV1xbx585CRkYGffvpJajsZRjJkslwRpruYu0qlmREZFpYrwAQR9vAhkJICXL6sSbqUKqUtvIRtlSqAs3OhvDSGYRjmFcPigKUNGzbE1atX4enpmZPfp08fvPfee5IZxzCFjeC75e8PdOqkfU6p1IgtQXyJU3Q0EBurSadP572un1+u8BKnypUBB4fCeW0MwzBM4WPxrMNTp07Bzs5OK79ChQqIioqSxDCGedWwswOqVdMkXVJSNP5fgvC6eze3V+zly9xo+seOadeTyTQR8vUJMH9/FmEMwzDFHYsWPlGr1VCpVHnynzx5AlczF7Zbvnw5/P394eDggAYNGuDkyZMm1Tt16hRsbGxQt25drfx169ZBJpPlSRkZGZLcl2H04eIC1K0LvPUW8OWXwPr1wNmzuTHAzp7V5H31FfD220CDBpqI90SawK3//AOsWAFMnAj06KGJO+bkpIkF1r498P77wLx5wM6dmgj7qalF/YoZJi/crjJMXizq0erYsSMWLVqElStXAgBkMhlSUlIwbdo0s5bl2bp1KyZMmIDly5ejefPm+Pnnn9G1a1fcunUL5cuXN1gvMTERQ4cORfv27fHs2bM8593c3HBXJ7CSg6hrwNL7MowllCwJNG6sSWKINAFZxc74gkP+/fuaGGJCNH1967T7+Gj8v4To/ELkfH9/nh3JFD7crjKMfiwK7xAdHY22bdtCoVAgLCwMDRs2RFhYGEqVKoUTJ07Ay8vLpOs0btwY9evXx4oVK3LyAgMD0bt3b8yZM8dgvbfffhsBAQFQKBT4448/cOXKlZxz69atw4QJE5CQkCD5fcXwdGTGmggiTIgJphsjLC7OeH1HR02wVvHSReJ9/sgWLa9j+1GQdvV1fB7M643Vwzv4+fnhypUr2Lx5My5dugS1Wo0RI0Zg0KBBcHR0NOkaSqUSFy9exOTJk7XyO3XqhNP6vIn/z9q1axEeHo4NGzZg9uzZesukpKSgQoUKUKlUqFu3LmbNmoV69eoV6L6ZmZnIzMzMOU5KSsr3NTKMpchkgJeXJjVrlvd8fLy2ABMvW/TkiSZY6+3bmqSPkiU1gqtiRY2PmDhVqKCZQck9YoypmNuucnvK/JewOI6Wo6Mjhg8fjuHDh1tUPzY2FiqVCt7e3lr53t7eePr0qd46YWFhmDx5Mk6ePAkbG/2mV69eHevWrUOtWrWQlJSExYsXo3nz5rh69SoCAgIsui8AzJkzBzNmzDDzVTKMdfDwABo21CRdlErNcKPu0kXCflycxkH/5Uvg4kX913dwyCvABBFWrpxmFiWHrGAEzG1XuT1l/ktYJLR+++03o+eHDh1q8rV0F6UmIr0LVatUKgwcOBAzZsxA1apVDV6vSZMmaNKkSc5x8+bNUb9+ffz4449YsmSJ2fcVmDJlCiZOnJhznJSUhHLlyiEyUrNMjOaa4tel+zq194VjYd+UPLlcOz+/Y3F95r+DnV3u2o76ENaPfPBAs6B3RESuL1hkpCaifkZG7gxKQ7i7awSXn58mJpm+fV9fXlPyv4Sp7aqh9pRhXkcsjqMlJisrC2lpabCzs4OTk5NJQqtUqVJQKBR5/u08f/48z78iAEhOTsaFCxdw+fJljB07FoBm9iMRwcbGBn///Tfa6VmVWC6Xo1GjRggLC7PovgL29vawt7fPk1+rVr4vtciRy7WTIMoMHetLCoV5eeZsdffNzbM02dgUrJwp+XKL5vVaF2PrRwKayPhRUdriKzIyV5A9fqyZ9ZiYqEmGhicBzWerdGmN6PLxyR0O1ZdKl+ZwFsUVc9tVQ+0pw7yOWCS04uPj8+SFhYVh9OjR+PTTT026hp2dHRo0aIBDhw5pLVB96NAh9OrVK095Nzc3XL9+XStv+fLlOHLkCLZv3w5/f3+99yEiXLlyBbX+r4jMvW9+ODhofkzEUwp0pxfonhOOhX1xnjVQqzWJKRoKIgbzE5bGxKghIatvX594Fp+vUkUTcFWh0HzelUpNz1hSUm5KSNAIr4SE3KRSAc+fa5IpODkBJUpoJycnzTCls7MmjIarqyY5OmrWpXRwyLsVexYY6mkW9xYbwth3WZynLxk797qF55C6XWWY1wmLfbR0CQgIwHfffYfBgwfjzp07JtWZOHEihgwZgoYNG6Jp06ZYuXIlIiMj8cEHHwDQdC9HRUXht99+g1wuR1BQkFZ9Ly8vODg4aOXPmDEDTZo0QUBAAJKSkrBkyRJcuXIFy5YtM/m+5vDsmfQzuIw11mq16fu6eeKkmyc+Vqn01xHO6csXzgnn9W3zyxMnU/MKkrKzpSmXn0gWyjH5k5amSdHRRW0JYy5StqsM8zohmdACAIVCgWgzWsiQkBDExcVh5syZiImJQVBQEPbv348KFSoAAGJiYhAZGWmWDQkJCXj//ffx9OlTuLu7o169ejhx4gSCg4NNvm9Rw75VxQsiywScKWXzE5e65w0JWH0CV59oFufpnhfXNyTEjQl0Q38EhDJZWZqkVGqei/hYSIUlWPPzmzR0XtjXV0d8jkgzc/R14lVvVxmmqLAojtbu3bu1jokIMTExWLp0KcqVK4cDBw5IZuCrCsd9YZjCR63WhK5ITdWktLTcffFxSkpuSk7W3urbT0sr7FeSBIDbDwFuT5nihtXjaPXu3VvrWCaToXTp0mjXrh0WLFhgySUZhmHyRS7P9deSEpVKI7YyMjQpM1OThH3drXhfqTTeI6gvLz0d+P/CGgzDvOZYJLTU7FnNMMxrhEKR62RfGCQlsdBimP8Kr+Dkc4ZhGIZhmNcDi3q0xIHm8mPhwoWW3IJhGIZhGKbYY5HQunz5Mi5duoTs7GxUq1YNAHDv3j0oFArUr18/p5yxSOsMwzAMwzCvOxYJrR49esDV1RW//vorPDw8AGiCmA4bNgwtW7bEJ598IqmRDMMwDMMwxRGLfLQWLFiAOXPm5IgsAPDw8MDs2bN51iHDMAzDMMz/sUhoJSUl4dmzZ3nynz9/juTk5AIbxTAMwzAM8zpgkdDq06cPhg0bhu3bt+PJkyd48uQJtm/fjhEjRqBv375S28gwDMMwDFMsschH66effsKkSZMwePBgZGVlaS5kY4MRI0Zg/vz5khrIMAzDMAxTXLFIaDk5OWH58uWYP38+wsPDQUSoUqUKnKUO18wwDMMwDFOMKVDA0piYGMTExKBq1apwdnaGBcsmMgzDMAzDvLZYJLTi4uLQvn17VK1aFd26dUNMTAwA4L333uPQDgzDMAzDMP/HoqHDjz/+GLa2toiMjERgYGBOfkhICD7++GMO8cAwDMMUCtHR0fj9998RGhqKR48eISsrC6VLl0b9+vXRs2dPNGvWjINnM4iOjsaxY8fw+PFj2NnZoUaNGmjVqhUcHR2tfm+LhNbff/+NgwcPomzZslr5AQEBiIiIkMQwhmEYhjHEy5cv8cUXX2D16tWQy+Vo0qQJ6tatCzs7O0RHR+O3337DvHnz0KBBAyxevBjNmze3mi1EhNOnT2Pv3r24du0aXr58CWdnZ1SrVg0dO3ZEt27dYGdnZ7X7GyMzMxMvXryAk5MTSpYsWSQ2AEBycjKioqIgl8tRrly5QhE4APDo0SN88skn2LVrF4gIHh4eyMzMRFpaGkqUKIFPPvkEn332mVXfH4uGDlNTU+Hk5JQnPzY2Fvb29gU2imEYhmEMcfXqVdStWxdbtmzBnDlz8OzZMxw/fhyrVq3CsmXLsGvXLkRFReHvv/+GQqFAy5YtMW/ePKv4EZ85cwaNGjVCixYtsHbtWigUCgQGBqJkyZL4559/0KdPH/j7++O3334rND9mIsIff/yBtm3bwsXFBeXKlYOnpycqVqyIqVOnIj4+vlDsSEtLww8//IC6devCzc0NgYGBqFatGlxdXdGqVSusX78eKpXKavc/efIk6tati3///Rc//fQTYmNj8fLlS6SkpODmzZt49913MWPGDLRr1w6JiYlWswNkAd26daMvv/ySiIhcXFzowYMHpFKp6M0336R+/fpZcsliR2JiIgGgxMTEojaFYZhiBrcf2pjzPO7cuUMlS5akevXqUWRkZL7ls7OzaerUqQSA5s6dK4W5OSxZsoTkcjk1bNiQDh48SCqVKk+Z69evU0hICAGgIUOGkFKplNQGXdLT03Pu16pVK1q6dCnt37+ftmzZQmPGjCEXFxfy9fWlc+fOWdWO06dPU4UKFcjGxoZCQkJo3bp1dOLECTp69CitWLGCOnfuTACoUaNGFB4eLvn9w8PDyd3dndq2bUsJCQkGy505c4ZKlChBnTt31vv+GcKcz6xFQuvmzZtUunRp6tKlC9nZ2VH//v0pMDCQvL296f79+5ZcstjBDSXDMJbC7Yc2pj6PzMxMql27NlWvXp1evnxp1j2mTp1KMpmMTp48WRBTc1i5ciUBoIkTJ1JWVla+5Tdt2kS2trY0ZMgQUqvVktigi1qtprfeeoscHBxo69atestERUVRs2bNyM3Nje7evWsVOw4fPkwODg7UrFkzCgsLM1ju9OnTVLlyZfL29qZ79+5JakOPHj2oYsWKJn3H/vrrLwJAmzZtMvn6VhdaREQxMTH09ddfU/fu3alr1640depUio6OtvRyxQ5uKBmGsRRuP7Qx9XksXbqU5HI5Xb582ex7ZGdnU+PGjal+/foFFjp37twhOzs7+uCDD8y61qZNmwgA/frrrwW6vyF27txJAGjbtm1GyyUmJlJAQAC1bdtWchuio6OpZMmS1LFjR8rIyMi3/PPnz6latWoUFBRkUnlTePDgAQGgdevWmVync+fO1LRpU5PLW1VoKZVKatOmjdWUcHGBG0qGYSyF2w9tTHkearWaAgICaMCAARbf559//iEAdOLECYuvQUTUv39/qlixIqWlpZld96233qIyZcpQZmZmgWzQR8uWLU0WT4Iou3r1qqQ2jBgxgkqXLk2xsbEm17l27RopFAr64YcfJLHhl19+IblcTklJSWbVkclkJtcx5ztstjO8ra0tbty4wdNlGYZhmELjzp07CAsLw5AhQyy+Rtu2beHn54fdu3dbfI0XL15g165dmDRpkkUz57766itERUVh//79Ftugj/T0dJw+fRpvvfWWSeXfeOMNODk54Z9//pHMhsTERKxfvx6ffPIJPD09Ta5Xq1YtDBgwAMuWLZNkwsCjR4/g5+cHV1dXk+solUoQEY4ePVrg++ti0azDoUOHYvXq1VLbwjAMwzB6uXz5MgCgWbNmFl9DLpejadOmuHTpksXXOHr0KFQqFfr162dR/aCgIAQEBEgqcADg2bNnUKlUqFy5sknlbW1tkZaWJmmQ8ePHj0OpVCIkJMTsuiEhIbh//z4ePnxYYDtsbW2hVCrNqiOI5hIlShT4/rpYFEdLqVTil19+waFDh9CwYcM8axwuXLhQEuMYhmEYBgCeP38OJycnuLu7F+g6O3bsKFD9u3fvonTp0vDx8bH4GllZWfj555+xdOnSAtkiRgi5lJycbFa91q1bS2bD3bt34erqigoVKphdt1q1agCAvXv3Yty4cQWyo3r16nj+/DmioqJQpkwZk+rExsbCwcEBTZo0KdC99WGW0Hrw4AEqVqyIGzduoH79+gCAe/fuaZX5rw0p1qwJKBSA8LJlstxk6Fgu104KRd48fecUCsDGRpOE/fy2NjaAra15yc4uN9nba5Kwr7u1scl9bQzDMNbC1tYWWVlZIKIC/c6UL18ekZGRFtdPS0uDi4uLxfUBzdCW1JQuXRp+fn44efIk+vbtm2/58PBwAMBHH30kmQ2ZmZlwcHCw6P0R6ly7dq3AdnTs2BEODg5Ys2YNvvrqq3zLq1QqrFu3Dl26dLFK4FKzhFZAQABiYmJyxjBDQkKwZMkSeHt7S25YceHJk6K2oGiRyXJFmYODdnJ0zJunL9/JSZMcHXP39SXhvIODRngyDPPfoWLFisjKykJERAQqVqxo8XWqVKmCBg0aWFy/ZMmSiI2NLZDgk7IXSUAmk2HgwIFYtWoVpkyZAi8vL6Pl582bBw8PD3Tt2lUyG3x8fBAXF4f09HSz/deSkpIAaNZMLigeHh4YPXo0vvvuO/Tv319rqUB9LFiwADdv3rSaS5RZQkvXSe3AgQNITU2V1KDixuHDgIsLQKRJQP77RIBarUkqVe6+bhKfU6k0KTvb9K2QsrLMS0plbsrMzN0KSfwxIMrNN7PHukA4Omqeu4sL4Oycu697rHvOxQVwc9MkV9fcfWdn7pljmFeZJk2aQC6X4+DBgxg1apRF10hOTsbp06cxe/Zsi+2oXbs2kpOTcefOnXx/wPWhVqtx+/ZtjBgxwmIbDPHZZ5/h119/RUhICPbu3ZvHrUdg/fr1WLlyJX788Ue9q7xYSuPGjaFWq3Hs2DGzBdzhw4dhb2+POnXqSGLLzJkzcejQIXTo0AG7du1CcHBwnjJqtRoLFy7E5MmTMWXKFDRu3FiSe+tikY+WgBSzA4o7DRtqfqj/S2Rn5xVhSiWQkaE/pacbzktP16S0tNytoST2bRTqvXghzWuSyTTCSyy+xPvu7kCJEtpJN8/NTTNkyzCM9Hh6eqJz585YsWIFRo4cCbkF3dpr1qyBUqk0eWaePlq1agU3NzesX78e3377rdn1//77bzx//hw9evSw2AZDlC5dGjt37kSXLl0QHByMefPmoXPnzrCx0fzUP3r0CHPnzsVPP/2EESNG4MMPP5T0/kFBQQgKCsLixYvNElpKpRIrVqxAnz59JFsD0cXFBYcOHUKvXr3QtGlTvPXWW+jXrx+qVKmCjIwMXLhwAatXr8aVK1fw+eef45tvvpHkvvqQkRlqSaFQ4OnTpyhdujQAwNXVFdeuXYO/v7/VDHxVSUpKgru7OxITE+H2X1NaRYRKlSvGUlM1KSUlN4mP9Z1LTtbsJyVpUnKyZqtWS2ejq6u2+CpZ0nDy8Mjdd3PjHrX/Etx+aGPq8zh16hRatGiBZcuWYcyYMWbdIzo6GrVq1ULv3r0LPEQ0adIk/Pzzz7h9+zbKli1rcr3s7Gw0adIECoUCZ8+etZpP882bN/H+++/j9OnTOc7pSUlJiIyMRIkSJTBz5kyMHTvWKvffuXMn+vXrh/Xr12Pw4MEm1fn888+xcOFCXLlyBTVr1pTUnqysLKxcuRJLly7FnTt3cvJtbGzQsWNHfPHFF2jRooXZ1zXnO2yW0JLL5ejatWvOwtF79uxBu3bt8nRP7ty502yjixvcUL4eEGnEm674Eu8nJuamhARN0t1PSyuYHQpFrvAqVcq05O7OvmrFFW4/tDHneYwZMwarV6/GgQMH0K5dO5Ov36FDB0RFReHq1asoVapUgexNSEhAUFAQKlSogEOHDpk0/EZE+Pjjj7F06VKcOnXKasNU4vtdvHgRhw8fRlRUFJydnVGvXj1069atwM78+d132LBh2Lx5MzZs2IA333zTaNk5c+Zg6tSpmD9/PiZNmmQ1uwDg6dOnePz4Mezs7FClShWDQ6umYDWhNWzYMJPKrV271tRLFlu4oWTEKJW54isxEYiP1+y/fJk3xcdrH6enW3ZPhQLw9NSIrtKlAS8v48ndnXvNXhW4/dDGnOeRmZmJXr164ejRo1i0aBFGjRpldBjx+vXrGDhwIB4/fowjR47kzJgvKGfPnkX79u1Rt25dbN261WjPVlpaGj7++GOsXLnSot644oZSqcS7776LzZs3Y8CAAfj0009Rt27dnB40lUqFEydOYObMmTh27BimTZuGadOmFauoBVYTWkwu3FAyUpGeniu+4uI0KTbWeLJk4oGdXV7x5e0N+PjkboXk4cG9ZdaE2w9tzH0emZmZmDBhAn766SfUrVsXH374ITp37oyyZctCJpMhJSUFZ86cwfr167Fp0yZUq1YNv//+O2rUqCGp3efOnUO/fv2QmJiIsWPHYvDgwahRo0aOYIiOjsbOnTvx/fff4+nTp1i+fDmGDx8uqQ2vKkSEdevW5UTC9/Hxgb+/P1QqFe7du5fTK7hgwQJ06tSpqM01GxZahQA3lExRkpmpLcieP9dMDHj2TLOvm8wVZjY2+kWYsO/rm7u14ijEawu3H9pY+jxCQ0PxzTff4ODBgyAi2Nvbw87OLidoZ6VKlfDRRx9h9OjROS4vUpOQkIBvvvkGK1euRFJSElxcXFCqVCmkpKQgNjYWCoUC/fr1w6xZs1C1alWr2PAqk5WVhSNHjuDkyZOIioqCXC5HpUqV0K5dOzRp0qRY9WKJYaFVCHBDyRQnhBmaYvH17Fluevo0N718ad61XVzyii9hK94vVYp7yQS4/dCmoM/jxYsXOHPmDB49eoSsrCx4eXmhXr16qFmzZqH9kKenp+PkyZO4du0aXr58CWdnZ1SrVg1t2rQpsE8Y8+rBQqsQ4IaSeV1RKjVC7OnTvCLs2TMgJkazHxOjmc1pKgqF/h4xfVuJZni/snD7oQ0/D6a4Yc5ntkBxtBiGef2wswPKltWk/EhJ0QgusfgStuL9Fy804TmiozUpP9zdtYcrBX8y8b6wLcDEIYZhGKvDQothGItxcQECAjTJGFlZub1kuqJMNy8jIzecxt27+dvg5JRXjJUqpZmR6empCZkh3i9ZUuODxjAMUxhwc8MwjNWxtQXKlNEkYxBpYpeJRZjg4C/4k4n3MzI0McwePtQkU3F3zyvAPD1zVwcQlmsS9vXlOTpyuAyGYfKHhRbDMK8MMplGBLm7A9WrGy9LpBm6FIsvYRsbq5mVKQ6Z8fKlJrYZkNtjZo4400UuzxVctraaXjIbG+19Q3nsGcsw/x1YaDEMUywRr09ZpYppdbKzNWJLLL7E25SU3KWahK1unjABQK3OXUWAYRjGECy0GIb5z2Bjk7uEkaWo1ZrhSkF8paVpHP2zsjRCTjfpy09KAsaPl+51MQzz6sJCi2EYxgyEIcOCBGplocUw/x2KPHzg8uXL4e/vDwcHBzRo0AAnT540qd6pU6dgY2ODunXrauWvWrUKLVu2hIeHBzw8PNChQwecP39eq8z06dMhk8m0ko+Pj1QviWEYhmEYBkARC62tW7diwoQJmDp1Ki5fvoyWLVuia9euiIyMNFovMTERQ4cORfv27fOcO3bsGAYMGICjR4/izJkzKF++PDp16oSoqCitcjVr1kRMTExOun79uqSvjWEYhmEYpkiF1sKFCzFixAi89957CAwMxKJFi1CuXDmsWLHCaL1Ro0Zh4MCBaNq0aZ5zGzduxJgxY1C3bl1Ur14dq1atglqtxuHDh7XK2djYwMfHJyeVLl1a0tfGMAzDMAxTZD5aSqUSFy9exOTJk7XyO3XqhNOnTxust3btWoSHh2PDhg2YPXt2vvdJS0tDVlYWSpYsqZUfFhYGPz8/2Nvbo3Hjxvj2229RqVIlg9fJzMxEZmZmznESTzViGIaRlKysrKI24ZUgLS0Nly5dQkxMDJycnFCzZk1UrFix0O14+PAhDhw4gJs3byI9PR2lS5dGcHAwunTpAuciWJLh0aNHOHv2LF6+fAkPDw80atQIVUydciwxZq1eSEVEVFQUAaBTp05p5X/zzTdUtWpVvXXu3btHXl5edPfuXSIimjZtGtWpU8fofcaMGUOVK1em9PT0nLz9+/fT9u3b6dq1a3To0CFq3bo1eXt7U2xsrMHrTJs2jQDkSYmJiSa+YoZhGA2JiYncfogQngcACgwMpClTplB0dHSh2vDkyRPatGkTzZ8/n5YsWUKHDx+mjIyMQrUhIiKC3n33XXJwcMjzW1OnTh3asmULqdVqq9vx6NEj6tu3LwEgW1tbCgoKoqZNm1KFChUIALm7u9O3335LSqXS6rYQEZ0/f55at26d8yxsbGxy9ps2bUonT54sFDuys7Npw4YN1KFDB3JycjL5O1zkQuv06dNa+bNnz6Zq1arlKZ+dnU0NGzakFStW5OTlJ7Tmzp1LHh4edPXqVaO2pKSkkLe3Ny1YsMBgmYyMDEpMTMxJjx8/5oaSYRiLYKGljfA8Fi9eTO+99x65u7uTi4sL/frrr1a/971796hnz545P9xubm5kZ2dHAMjT05Pmzp1bKIJiz5495OrqSj4+PvTtt9/SlStX6OXLl/T48WPauXMndevWjQDQm2++qdVxIDXHjx+nEiVKUNmyZemXX36h5ORkrfPh4eE0fvx4UigU1LJlS0pISLCaLUREq1evJoVCQXXq1KHNmzdTXFwcERHFx8fT9u3bqVGjRiSTyWjJkiVWtePBgwfUsGFDAkDt2rWjmTNnvvpCKzMzkxQKBe3cuVMrf9y4cdSqVas85ePj4wkAKRSKnCSTyXLyDh8+rFV+/vz55O7uTv/++69J9nTo0IE++OADk+3nhpJhGEvh9kMb3ecRHx9P7777LgGgH3/80Wr33b9/Pzk7O1OlSpXol19+yRnVUKlUdOXKFRozZgwpFApq3bq1Vd+ro0ePko2NDfXu3dvofXbs2EGOjo7Up08fq/Rs3bhxg1xcXKhdu3YUHx9vtGxoaCh5eHhQ27ZtKTs7W3JbiIgOHDhAMpmMRo0aRVlZWXrLZGdn0yeffEIA6Pfff7eKHQ8ePCAfHx+qXLkynTlzhojM+w4XmdAiIgoODqbRo0dr5QUGBtLkyZPzlFWpVHT9+nWtNHr0aKpWrRpdv36dUlJScsrOmzeP3Nzcch5IfmRkZFCZMmVoxowZJtvODSXDMJbC7Yc2+p6HWq2mjz/+mBQKhcl/mM3h8uXL5ODgQD169ND6/dDlxIkT5O7uTl27diWVSiW5HampqVSuXDlq27atST1nf/75JwGgtWvXSmqHSqWiRo0aUc2aNY0+DzHHjh0jmUxGixYtktQWIk1nTIUKFahz5875Pne1Wk39+vUjLy8vk203FZVKRY0bNyZ/f396+vRpTn6xEVpbtmwhW1tbWr16Nd26dYsmTJhAzs7O9OjRIyIimjx5Mg0ZMsRgfX1Dh3PnziU7Ozvavn07xcTE5CRx9+cnn3xCx44dowcPHtDZs2fpjTfeIFdX15z7mgI3lAzDWAq3H9oYeh5KpZJq1apFHTt2lPR+arWagoODqXbt2iYNw+3fv58A0MaNGyW1g4hoxYoVpFAoKCwszOQ6/fv3p8qVK0vaq3XgwAECQMeOHTOr3ogRI8jHx0fy4dXt27cTALp+/bpJ5R8+fEgymUxyAbpt2zYCkMcPrNgILSKiZcuWUYUKFcjOzo7q169Px48fzzn3zjvvUOvWrQ3W1Se0BGc93TRt2rScMiEhIeTr60u2trbk5+dHffv2pZs3b5plNzeUDMNYCrcf2hh7HuvWrSMAFBUVJdn9Tp06RQDo4MGDJtfp1q0bNWzYUDIbBDp06EBdunQxq87hw4cJAF2+fFkyO4YNG0aBgYFmi7eLFy8SADpy5IhkthARjR49mqpXr25WneDgYBo8eLCkdrzxxhvUvHnzPPnFSmgVV7ihZBjGUrj90MbY84iOjpbc/+brr7+mUqVKmTUUuH79egJgdHa6JXh5edH06dPNqpOSkkIA6KuvvpLMjtq1a9OoUaPMrqdSqQgAff3115LZQkTUvXt36tGjh1l1hI4VKfH09NTrVmTOd7jIl+BhGIZhGEMIy6PNmjVLsms+ePAAgYGBkMtN/wl0dXUFAOzbt08yOwAgJSUF7u7uZtVxcnICAPz++++S2fHy5Ut4eXmZXU94hjNnzpTMFgCwt7dHRkaGpNc0F7Vajbi4OJQpU6ZA12GhxTAMw7yypKSkAAD69u0r6XXJnICTAGQyGQBAoVBIaoeXl1eeJeLy48WLFwCAadOmSWaHq6srEhISzK4nPMdhw4ZJZgugWSbv0qVLyM7ONtmO8uXLY7yEq7XLZDI4OjoWOEA5Cy2GYRjmleXs2bMAgD59+kh2zSpVquDWrVtQqVQm14mPjwcAdOvWTTI7AKBJkyY4dOiQWcLv77//BgA0b95cMjtq1aqF8+fPm13v/v3/tXffYU1dbxzAvxlsJIIIqEwRVBAXAoK4rXXvWbX6q7VitbZqa7W1ddRqW62t1lFrrdo669bWhRNxICg4QBQFZYsohD1C3t8fKWgEIcGEoe/nec5DcnPOve+9SQ5v7jj3HgDNJ8KDBw/GkydPsHfvXpXqHz16FLGxsRqNQyAQoGXLlrh06dIrzYcTLcYYYzXW+vXr4eTkBDc3N43Ns3fv3nj69CmOHTumcptt27ahffv2MDU11VgcADB+/Hhcv34dx48fV6m+TCbD8uXL0a1bN9jY2GgsjoEDByIoKAjh4eFqtfvjjz9gbGyMrl27aiwWAGjTpg369euHGTNmIDExsdy6qampmDp1Kjp37oyOHTtqNI4hQ4bg0KFDFcZQLo2eNfYG4ZNZGWOVxf2HspdtjwMHDhAA2rx5s0aXJ5fLydfXl5o3b67SuEv79+/X2oCYcrmcunXrRo0aNaLY2NgK63766ackFAopKChIo3Hk5+eTg4MDdevWTeUBSCMjI8nAwIA+//xzjcZSLDExkaytrcnR0ZFCQkLKrHPz5k1ycXEhCwsLiomJ0XgMaWlpVL9+ferfv7/SxRN81WEV4I6SMVZZ3H8oK2t77Nu3T6ujoIeHh5ORkRH16NGj3FHQjx8/TkZGRlqLg0hxSzo7OzuysbF56ThWaWlp9N577xEArQwQSkR08uRJEgqFNGnSpJeOxF7swYMH1KRJE2rWrJnGBwl9XnR0NLVu3ZoEAgH16dOHVq5cSTt37qRffvmFBg4cSEKhkJo3b063b9/WWgyHDx8mgUBAY8eOpezsbCLiRKtKcEfJGKus16n/iImJoffee4/s7e1JX1+fGjduTF9//TXl5+erPI/i7REVFUWHDh2i/v37EwAaOnSoVu/rd+bMGZJIJNSwYUNauXIlPXz4kORyOeXl5VFgYCC9++67JBAIqHfv3lpNJoiI4uLiyNfXlwCQr68vffvtt/TXX3/Rr7/+ShMnTiSJREJGRkYaH5DzRZs2bSKRSEQdOnSgy5cvl0ou8/Ly6LfffiMzMzOyt7en6OhorcZDpBi49vfff6cOHTqU3IdSR0eH2rdvT2vWrKmSm3/v2LGD9PX1yc7Ojn7++WcKCQnhREvbXqeOkjFWtV6n/uPo0aM0YcIEOn78ON2/f58OHjxIFhYWNGvWLJXnUbw9iourqytt375da3uQnvfw4UMaPXo0iUSiknvnFsfRqFEjWrNmjdbu5feioqIi2r17N/Xp04dMTEwIAAmFQnJxcaEvvviCEhMTqySOgIAAat68OQEgJycnGjVqFL3//vvUp08fkkgkBIDGjBmj8THFVCGTyUgqlVbZe/K8O3fu0IgRI0gsFpd8RlT5DguI1LzGlQEAMjIyIJFIIJVKYWJiUt3hMMZqkde9/1i2bBnWrVuH6OholeoXb49t27bB09MTjo6OJcMpVJUnT57gwoULSEhIgL6+PlxcXNCuXTuND+egKiJCXl4edHR0IBaLq3z5RUVFOH78OP755x9EREQgJycHFhYW8PDwwKhRo9C0adMqj6mmkEqlOHfuHAYOHKjSd7jq3z3GGGOvNalUCjMzs5e+np+fj/z8/JLnxeMU9evXr9oSz3r16mHAgAHVsuyyFI/hVF1EIhH69Omj8eEsXgcSiQRdunRRuT4P78AYY0xj7t+/j19++QV+fn4vrbN06VJIJJKSoslhChiraTjRYowxVsqCBQsgEAjKLSEhIUptEhMT0atXLwwfPhzvv//+S+c9d+5cSKXSkhIXF6ft1WGs2vChQ8YYY6VMmzYNo0aNKreOvb19yePExER07doV3t7e+O2338ptp6enBz09PU2EyViNx4kWY4yxUszNzWFubq5S3YSEBHTt2hXu7u7YtGmTWjdrZux1x4kWY4yxSktMTESXLl1ga2uL5cuXl9zwGACsrKyqMTLGagZOtBhjjFXaiRMncO/ePdy7dw/W1tZKr/HoQYzxyfCMMcZewYQJE0CKwa9LFcYY79FijLFKIwLy8oD8fPWKVFrdkTPGqgonWowxBkXSlJUFpKY+K0+eKP6mJecjJ0mKvJQMFDyWovBJhiJbysiAXlE2dFBYUsSQKT0vqxgit7pXlzFWRTjRYoy9EfLygPhYORJupeFJeDIyo5KR9yAZlJQMYeojGGY8Qh15OkyQARNkwAlSuCMDEkihhwKNxpIBYKJG58gYq6k40WKM1X5EkKWmI/FCDFKuPED23QQUxidDkPIIek+TUSc7GfVkybDDIzSBrNKLKdCvA5mhCeR1JBCYmEBoJoG4jiGEBroQ6ooh0NEBXixicelpRUXA559rcAMwxmoqTrQYY7VDRgbw4AEyrsfgydUHyAmPAR4+gOGjBzDPikEdeQZsAdiqMisdM2QZWSHfzAqwtIKOtSUMHSxhZGMKPXMTQCIBTF74a2wMXZEIuppaF060GHsjcKLFGKs5MjKAyEjIIyKRHhSJvLA7EMY9gPHjGBgXpAEATP4rZUmGJVIM7ZFd1xoyiwYQNrSCgb0VTJwsYd7CCpKmVhBYWsBEV/el82C1BxHh8uXL+Oeff3D79m3k5ubC0tIS7du3x7Bhw1QecFWT8Tx8+BDR0dGQy+Wws7NDkyZNIBAIqjQOVr7U1FSkpaXB1NS0Sj4jnGgxxqoWEZCQAERGApGRyL12G3lhkdCJjoSxNBGAYtwZszKaPoY5HsAeKQb2yLJwAOzsYeDigHru9rDxtYO1syGseNCaN8L169fh5+eHy5cvw8LCAq1bt4aRkREiIiKwbds2zJgxAzNnzsTXX3+t9dv95OXlYc2aNVi7di2io6OVXmvUqBHef/99zJw5EyYmVZfey+Vy3LhxA/fv34dAIICTkxNcXV2rfNT+0NBQrFmzBidPnkRcXBx0dXXRokULDBkyBFOmTEHdunWrJI709HT89NNP+PPPP/HgwYOS6Q4ODhg3bhxmzJihtVgExIOdVEpGRgYkEgmkUmmVfnkYqzWKE6rr14EbN1B0MwJ51yOhGx0JnbyslzZLRANEohmiRM2QYdUUAsfGMHR1gIWHHZq0qQMnJ8DIqArXQwu4/1Cm7vY4fPgwRowYgSZNmmDZsmXo2bOnUgKRmpqKVatW4fvvv4eHhweOHDmite189+5dDBo0CFFRUXjnnXcwbNgwNG/eHEKhEFFRUTh48CA2b94Mc3Nz7N27Fx4eHlqJo5hMJsPq1auxfPlyJCQkKL1mZ2eHzz//HB988AFEIpHW4/j888+xYsUK2NvbY8iQIXByckJeXh6uXLmC/fv3o06dOti6dSt69uyp1VguXbqEoUOHQiqVYty4cejevTvq16+PlJQUnDp1Clu3bkXdunWxZ88eeHt7qzRPtT6zxCpFKpUSAJJKpdUdCmPVLz+fKDSUaPNmohkzqLBTNyowMSNSpFulSiFEdBtNaT8G0lJ8Tp/W30yfdrxM336WRn//TXT7NlFhYXWvlPZw/6FMne1x9epV0tPTo6FDh1Jubm65dS9fvkwSiYR69+5NcrlcU+GWiI6OJgsLC2revDmFh4e/tN6DBw+offv2ZGxsTNeuXdN4HMXS09Opc+fOJBQK6X//+x+dPXuWUlNT6fHjx3Ty5EkaO3YsCQQCevvttykrK0trccjlcho/fjyJRCL68ccfqbCML3NiYiL17t2bxGIxHTt2TGuxhIaGkpGREfn6+lJ8fHyZdeLi4sjX15eMjIwoNDRUpfmq85nlPVqVxL9I2Rvr8WPFXqr/iuzqdQjvREBYVPpqPhlEuIOmuI5WuAk3JBg3A5o1g5mHI1zb6MLNDXB1BerUqYb1qEbcfyhTdXvI5XJ4eHhALpfj8uXLKh0SPHbsGHr37o2//voLY8eO1VjMcrkcvr6+SE5ORlBQEOrXr19u/ezsbHTu3BlSqRQ3b96Evr6+xmIpjqdXr14IDg7GoUOH0LFjxzLrnTx5EoMHD0b37t2xf/9+rZw/tn37dowZMwZbt27FmDFjXlpPJpNhwIABCA4Oxt27d2FqaqrROGQyGVq3bg1dXV0EBgbC0NDwpXVzcnLQoUMHFBYWIiwsDGJx+WdW8R6tKsC/SNkbIS2NyN+faOlSoiFDSNbQ5qV7qdIgobPoRD9jOv0PG6mvVQiNGJBL33xD9O+/RPHxRFrYqVArcf+hTNXt4e/vTwDozJkzas2/f//+1LJly1eIsLR9+/YRADp79qzKbSIiIkgkEtHq1as1GgsR0aZNmwgA+fv7V1j3wIEDBIB2796t8Tjkcjk5OzvToEGDVKqfmJhIBgYGtHjxYo3H8vfffxMACgkJUal+cHCwytuF92hVAf5Fyl47OTlAaCgQHAwEB6MoKBii+1FlVr0HR1xHK4ShNa6jFTIdWsHK0xZt2grQti3Qpg1Qr14Vx1+LcP+hTNXtMX36dBw+fBjR0dFq7YnZt28fhg4digcPHsDOzk4TIWPQoEF49OgRLl26pFa7oUOHIi4uDleuXNFIHMXatm0LGxsbHDx4UKX63bt3R0FBAc6fP6/ROG7dugU3NzccP35c5XOvxo4di4iICFy7dk2jsbzzzju4e/cuQkJCVG7j7u6O5s2bY+vWreXWU+c7zFcdMvYmKiwEbt4ErlwBgoMhDwqG4HY4BHJ5SZXiU2Wj4YAQtEMwPHBV4IHspm3RzNMEbdsCPdsCn7VSDDXFmLaFh4ejXbt2ah/uatu2LQDgyJEjmDJlikZiuXDhAqZOnap2u169esHPzw95eXkaO3z45MkThIaG4tNPP1W5zciRIzFlyhTk5OSUe0hNXbdu3QIAeHp6qtxGV1cXoaGhkMlkFR6yU0dERITKJ7cXk0ql2LZtW4WJljo40WLsTfD4MXD5MnDxIuQXLwFBVyDMf3a/veLrtZJghWB4lJQn9u3QpL05PDyAAR7A/DaAsXH1rAJj2dnZsLe3V7udjo4OAMDf318jiVZhYSFSU1MrtXcsPj4ecrkcV65cQadOnV45FgCIjY0FADg5OancJisrC3K5HAEBAejVq5dG4gCA/Px8AICBgYHKbeLj4wEARUVFGk208vPz1U5m79+/r7HlF+NEi7HXTVERcOsWcOkS6NIlyAIuQufBvZKXi5OqdEiUkqo4Sw9YezWCh6cAHT2AGe0As7IGs2KsmtSvXx+JiYlqt5NKpQCAadOmaSQOkUgEkUhUklSoo95/x9Q1OVCmrq7ifgXqxGP83y+meho+xm9rq7g3w7179+Dq6qpSmzZt2uD27dsaH+/M2tpa7cSpf//+yMvL02gcnGgxVtulpwOXLgH/JVUIvgJxTiYAQABA579qEWiOS/DGJXjjprEP6rZvBg8vITw8gAkeQMOG1bUCjKnGy8sLy5YtU/uw25kzZyAWi+Hu7q6ROIRCIZycnHD9+nW12xaf09OsWTONxAIAjo6O0NXVRXBwMHx9fVVq8+jRI9SpU6fksKqmeHp6wtDQEHv27FEp0SoqKsK+ffvQvXt3jcYBAF27dsWSJUsglUohkUgqrJ+eno5Tp05h3rx5mg1EpVPxWSl81RCrNrGxRNu3U5HfFMpxciO5QFDqCsAMGJM/utNCfEV9hUeoS8snNGWKYpir27eJioqqeyXebNx/KFN1e9y9e5cEAgGtXbtW5XkXFBRQs2bNaODAga8YpbIZM2aQhYVFhWN5Pa+oqIiaN29OI0eO1GgsRESDBg2i5s2blzlm1Yvy8vLI3t6exowZo/E4iIg++ugjMjExoYcPH1ZYd9WqVQSArly5ovE4EhMTSV9fn2bOnKlS/RkzZpCBgQElJSVVWFed7zAnWpXEHSWrEkVFRDdvEq1bR7lDx1B2fdsyh1a4iya0Ge/SZKyjXg2v06jhMlqxgigwkCgnp7pXgr2I+w9l6myPCRMmkEQioaioKJXmPXfuXBKJRBofKDQqKorEYjEtXLhQ5TYbNmwgAHThwgWNxkKkGJpAKBTSvHnzKqz7ySefkFgsLneQ1Vfx9OlTsrOzIxcXl3KTrV27dpFYLKZp06ZpJQ4iouXLlxMA+vXXX8utt27dOgJAP/74o0rz5USrCnBHybQiL4/owgUq/PZ7SvPtR7mGpmWOqn4F7WgFPqF39PfSUN9k+uILokOHiJKTq3sFmCq4/1CmzvZIS0sjZ2dnsrGxKTd5KiwspK+++ooA0Pfff6/JcEt89dVXJBQKVRp36cyZM6Svr0/vvfeeVmIhIlq6dCkBoJkzZ1J2dnap1zMzM2nKlCkEgH755RetxUFEFBkZSba2tiSRSGjRokUUERFBhYWFlJmZSadOnaJhw4YRAHrnnXeooKBAa3HI5XKaNm0aAaDhw4dTSEhIyV0C5HI5hYSElMTy0UcfqXwHAU60qgB3lEwjMjOJ/P1J+vFXlOLSmQpE+qUSqywYkj+60wLMp/fsTtKH72bShg2KHV0yWXWvAKsM7j+Uqbs94uPjqU2bNiQSiWjSpEkUEBBAWVlZVFRURHFxcfTHH3+Qm5sbCYVCWrJkiVZuv0NEJJPJaPTo0SQQCGjWrFn09OnTUnUyMzPpm2++IR0dHXrrrbfUOtSoLrlcTj/99BPp6uqSpaUlTZ06lX799Vdat24d+fn5Ub169UhfX7/CvTua8vTpU5o2bRoZGBgQAKXi6OhIW7Zs0dp78zy5XE5bt24lGxsbAkB169YlJycnqlu3LgEgGxsb2rp1q1rz5AFLqwAPOMgqJS0NBacD8XhvAISBAbCIvwoRFSlVeQQLBMIXoYa+yGrTERZvtYJnBx14eAAqnM/JagHuP5RVZnsUFBRg5cqV+Pnnn0tdiSgQCPDWW2/hm2++UWs8p8qQy+VYtmwZFi5cCCJC9+7dS24qfffuXZw6dQq5ubmYOXMmvvnmm5IrBLXp/v37WLVqFY4cOYL79+9DIBCgSZMm6NevH6ZPn66xQVtVlZWVhcuXLyMuLg66urpwdXVFy5YtlW4EXhVkMhnOnTuHK1eu4OnTpzAzM4Onpyc6d+6s9rAS6nxmOdGqJO4omSooMQmP951H+uHzMLoWgAapNyGE8lfuAexwXtAJD2w6ocinIxx7O6O9twBNmgBauA0ZqwG4/1D2KtujqKgIYWFhuH37NnJzc2FpaQlPT09YWVlpKdqyPXr0CH/++SdOnjyJ6OhoEBFsbW3RpUsXjB8/vsqTm2JyuRwCgUAr9zR8k3GiVQW4o2SlECHn9kPEbg1Avn8AzG8HoFF26VvY3EYzBBt0whOXTtB7qyNa9LaFuztgZFQNMbNqwf2HMt4erLbhW/AwVgVITnh4PBJJfwdAdCEAtg8CYFUYj+dHx5FDgBtohUiLTshp1wmm/X3Rppclxtnx3irGGHsTcKLFmIrSnxTh9s7ryPgnAMahAWiach72lAr75+oUQozruh6Id+gEeYeOaDi8A1p1rovWqt+NgjHG2Gukas9EK8PatWvh4OAAfX19uLu7q3wn8QsXLkAsFqN169alXtu7dy9cXFygp6cHFxcX7N+/X2PLZW8GmQy4EZyPg7MDsbfdUgTU6QOBuRm8p7nj7WMz0OHRfphTKnJggKuSrjjhPR/nvj6FlLtStMu/iEGR32HIxr5o36su1LjlF2OMsddMte7R2rVrFz755BOsXbsWHTp0wPr169G7d29ERESU3C+pLFKpFO+++y66d++OR48eKb126dIljBw5Et988w0GDx6M/fv3Y8SIEQgMDISXl9crLZe9vhISgGun0/H44EXoXTkPh4RAtJUHoyWU7x2WKTTBfStfxWHAgZ3gOMId7sbav4qIMcZY7VStJ8N7eXmhbdu2WLduXcm05s2bY9CgQVi6dOlL240aNQpOTk4QiUQ4cOAAwsLCSl4bOXIkMjIycPTo0ZJpvXr1gqmpKXbs2FHp5ebn5yvdsDMjIwM2NjZ88mYtlJ0NXL0KRByPQ65/IEwjAtE2+zxa4FapKwLTdCyQ0NgX6NgJjUZ3gmnnloBIVE2Rs9cFn/ytjLcHq21qxcnwBQUFuHr1KubMmaM0vWfPnrh48eJL223atAn379/H1q1bsXjx4lKvX7p0CTNmzFCa9vbbb+Pnn39+peUuXboUCxcurGi1WA1TVARERABXLssRd+I2RJcD0TjhPDpQIDrhYan6jyROkLbwhdHbvrAa3hGmTZvAlM9aZ4wxVknVlmilpqaiqKgIlpaWStMtLS2RnJxcZpuoqCjMmTMH58+ff+ngYsnJyeXOszLLBYC5c+di5syZJc+L92ixmoMIePAAuHIFuBkoRe7ZIJjeuQSPwosYiiDUhVSpfhGEeNyoDWTeHVFvkC8MuneApZUVLMuePWOMMaa2ar/q8MVB1IiozIHVioqK8M4772DhwoVwdnZ+5Xmqutxienp60NPTK3e5rGo9fgwEBwNXgggJZ+7CIPQiWmRdgjcuYTjCSx0GLNAxRHpTL+j36AiTvh0h8vKCVZ061RQ9Y4yxN0G1JVrm5uYQiUSl9iKlpKSU2tsEAJmZmQgJCUFoaCimTZsGQDHiLRFBLBbjxIkT6NatG6ysrMqdp7rLZTVDWprivKqrV4FblzJRdDkYDo8USdVHuIR6eFqqTUb9xpB7ecPkbR8IO3hD180NFmreZoExxhh7FdX2X0dXVxfu7u7w9/fH4MGDS6b7+/tj4MCBpeqbmJjg5s2bStPWrl2L06dPY8+ePXBwcAAAeHt7w9/fX+k8rRMnTsDHx6dSy2VVLy0NuHYNCAkBblzJQ+7l62iYGAwPBKM/gvEZIkvtrZLp6CPH1QOG3b0h9vUGvL1hwokzY4yxalatP+9nzpyJcePGoV27dvD29sZvv/2G2NhY+Pn5AVCcF5WQkIA///wTQqEQLVq0UGpvYWEBfX19pekff/wxOnXqhO+//x4DBw7EwYMHcfLkSQQGBqq8XFZ10tOfJVWhwTJkXg6HVXww2iEEPRCMmbgBHchKtcu1sIXI1xu6nX0Ab2+IW7WCSRXcrJUxxhhTR7UmWiNHjsSTJ0+waNEiJCUloUWLFjhy5EjJzTeTkpIQGxur1jx9fHywc+dOzJs3D1999RUcHR2xa9eukjG0VFku0zwiID4eCA0FwsKAG9dkyAy5A/OEMHggGB0QjGkIhSFyS7UtqFsf8PCAro8H4OEBtGsHA95bxRhjrBbgm0pXEo/78nKFhcCdO8+SqnvBaZCH3UDjzDC0wnW0wnW4Ihz6LwwGCgAywzqgtu2gU5xUeXgAtrZ8Y0D2WuH+Q1nx9rh79y6aNGlS7oVJ2pSdnV3y497Ozg6GhobVEgcRITk5GampqTAxMYGNjQ2Ewuq5kUtBQQEePnyI/Px8NGrUCKamptUSBwA8ffoUiYmJ0NPTg729PXR0dKolDrlcjvDwcLRs2VK17zCxSpFKpQSApFJpdYdSrVJSiE6fJlq1iuj994pooGsUjRTvoUWYRwfRnx7AlkixQ6tUKTQwpgJPH6KPPiL680+i27eJioqqe5UY0zruP5QVbw8AZGtrS/PmzaOnT59WybLlcjnt3r2bOnbsSEKhsCQOoVBInTt3pn379pFcLq+SWFJTU+mLL74gGxubkjgAkJmZGU2ePJmio6OrJA4iogsXLtDAgQNJX19fKZaWLVvS6tWrKT8/v0riyMvLo5UrV1KLFi2U4jAwMKAhQ4ZQUFBQlcRBRBQVFUUTJ06kunXrlsShyneY92hV0pv2i1QqBcLDgVu3gIjrhUi7Gg1ERsJKGonmuI1miIQrwlEHWWW2z29gB7F7K4jatAJatQJatwYcHIBq+pXGWHV60/qPihRvj61bt+LChQv4888/UadOHezevRu+vr5aW65UKsWYMWPw77//olu3bhg5ciSaN28OAIiIiMCOHTtw7tw5DBw4EH/99RfqaHE4mLNnz2LkyJHIycnB+PHj0aNHD1hZWSEtLQ2BgYH4448/kJ6ejnXr1mHChAlai6OoqAifffYZfvrpJ7Ro0QITJkxAmzZtoK+vj+joaBw8eBD79u1Dy5YtsX//ftjb22stlnv37mHw4MG4ffs2hg8fjv79+8PBwQG5ubm4evUqNm3ahNu3b2P27NlYunSpVvf6/fbbb5g+fTrq1auH9957D61bt8awYcN4j5Y2va6/SDMyiIKDiTZvJvryIylN975C003/pG8xl/ZiMIWjOeVD56V7qWQ6epTbwp3k/3uPaOVKorNniarolyljtcXr2n9U1ovbIyEhgbp06UIGBgZ06dIlrSwzLy+PvL29qW7duvTPP/+8tN6BAwfIxMSEOnXqpLW9OOfPnyc9PT3q3r07JSUllVknKyuLJk6cSADojz/+0EoccrmcJk2aRCKRiH7++WcqeskRhmvXrlHjxo3JxsbmpfG+qri4OGrYsCE5OzvTjRs3yqwjk8lo2bJlJBAIaNq0aVqJg4ho3bp1BICmTJlCOTk5RKTed5gTrUqqzR1lXh5ReDjR/n1yWjMvkZb0v0gLm22nJcbf0npMIn90pzg0emkyRQAV6BpSVrO2VDjiHaJFi4j+/pvo1i2iwsLqXj3Garza3H9oQ1nbIzc3l7y9vcne3r7kn5smzZ07l3R1dVU69HThwgUSi8U0f/58jceRlZVFNjY21KlTJ8rLyyu3rlwup/fff5/09fXp3r17Go9lz549KidycXFxZGVlRf369dN4HHK5nN566y2ytrZWKZFbu3YtAaDDhw9rPJbbt2+Tjo4OTZ06VekQMidaVaCmd5R5eUT3ouR0amcK7ZoVRBvf3kW/O31HW+v40VH0ottoSjnQLzeZIoCyTawovU0Xyvufn2IP1fHjRA8f8rlUjL2Cmt5/VLWXbY87d+6QUCiktWvXanR5T548IX19fZo3b57KbWbPnk1GRkaUnp6u0Vh+/vlnEovFdP/+fZXqZ2dnU4MGDej999/XaBxyuZxcXFyoT58+KrfZtWsXAaDg4GCNxnL+/HkCQAcPHlSpvlwup27dulGbNm00GgcR0dixY8nW1pZyc3OVpqvzHeZztCqpOs+xoOwcpIY/QuqtZEjvJCMnOhmF8Y8geJQMvbRkGGcnw6zwEayQDAPklTsvuUCIDBNr5Dd0gKixPYxb2EO/uQPQtCnQrBlQt27VrBRjbxA+R0tZedujb9++yM7OxtmzZzW2vC1btuB///sfkpKSVL4jSHx8PGxsbLB9+3aMHj1aY7H4+PjA0tIS+/fvV7nN119/jV9++QWpqakQiUQaiePWrVtwc3PD0aNH0atXL5XaFBUVwcbGBmPGjMGyZcs0EgcAfPTRRzh8+DBiYmJUvgL14MGDGDRoEO7evQsnJyeNxFFQUABTU1N88cUX+PLLL5VeU+c7zPcjqQ4yGZCRoShSKZCRgaKnUmQnZSA7SYq8lAwUPpZC9jQDlC4FMjMgzkiDUWYy6uYlw5gyUR9AfRUWJYcAT/UbIrOePYpsHKDrbA9JaweYtLSHwMEeQhsb1K2mS2QZY6wijo6O+OWXXyCXyzV2snNoaCicnZ3Vuu2atbU1AGDHjh0aS7SICKGhoViyZIla7dq0aYP09HTcuHEDbdq00UgsoaGhAKDWxQcikQhmZmZYv369RhOt0NBQ+Pr6qjXMR3Hc//zzj9KdYV5FVFQUcnJy0KlTp1eaDydaryitY3/I5KQYPKqwEJDJIJAVlhShrBCCokII5TIIiwohLCqEblHpvUwiACb/FVXkQh8pogbIMLBErsQKReZWEDa0gp6tJeo4WaGeqxUkzpYQNmoIcz09mGtypRljrIoEBwcDgEYTrYyMDJiZmVWq7eHDhzUSAwDIZDLk5eWpPTZVeno6ACAoKEhjiZZUKoWuri6MjY3VahceHq6R5b8Yi7rvT3H9bdu2aSzRysjIAIBXHjuME61XZHojQOXk6EU5MEAGTCCFBFJIkAET5OhIUKBvApmRBGRsApJIIDY1gdi8LoyaWMG0uRUs3SzRwLkO7PR4EE/G2OvN19cXly9f1tghMkDxTzk5OblSbSdPnqyxOMRiMerUqYNHjx6p1a7uf6d0dO/eXWOx1KtXDwUFBUhLS1MrsfD29kZ2drbG4iiORd33p3gbfvzxxxqLozh5e/ToUalbAKqDE61X9KXlBujrSwBdHQh0dCDQ1YFQ77+/umKI9BXPi/+KDXSgb24M44YmqGelg3r1gHr1AAdzwNQUEPM7whhjJa5cuYLevXtrdLR4Ly8v/Pjjj4iJiYGDg4NKbe7cuQMA6N27t8biEAgE8PT0xMmTJ/H555+r3O78+fOwtLREkyZNNBaLp6cnAODUqVMYNmyYSm3y8/MRGRmJadOmaSwOQPH+bN68GTKZDGIV/ymeOnUKANC1a1eNxdGkSROYmpri5MmTr5bUavwU/TcEXzXEGKss7j+UvWx7XL58mQDQtm3bNLq8rKwsqlu3Lvn5+ancZuLEiWRubq7xoSY2bdpEAOjatWsq1X/8+DFJJBKaNWuWRuMgImrfvj21b9/+peNnvWjNmjUkEAgoMjJSo3Fcv36dANDGjRtVqi+TyahNmzbUpUsXjcZBRDR16lSqV69eqTsV8PAOVYA7SsZYZXH/oays7ZGamkrOzs7Upk0bKtTC+Hw//fQTCQQClYYQ2L17NwGgNWvWaDyOgoICcnNzIxcXlwpvO1RQUEB9+vQhMzMzSk5O1ngsZ8+eJQC0YMGCCuveuHGDjI2N6b333tN4HEREY8aMIYlEQhERERXWnTt3LgkEArp48aLG44iPjycTExMaPHiw0ueQE60qwB0lY6yyuP9Q9uL2CAkJoaZNm1L9+vXp7t27WllmUVERDR06lHR0dGjlypVlJnOFhYX0448/klgsplGjRmntnocRERFkZmZGLi4uFBoaWmad2NhY6tGjB+no6NCxY8e0EgcR0eLFiwkAffTRR5SZmVnqdblcTvv27SNTU1Nq06YNZWRkaCWOtLQ0atGiBZmbm9Phw4fL3PZSqZT8/PwIAC1btkwrcRARHTx4kEQiEfXu3ZsSEhJKlq3qd5jH0aokHgeHMVZZ3H8oK94e33zzDQICAuDv74+WLVti9+7dcHZ21tpyCwsLMWvWLPzyyy9wcHDA8OHD4eLiAiJCREQEdu/ejYcPH+KTTz7BDz/8oPL5QpVRfD+/iIgI9OzZE2+99ZbSvQ73798PMzMzbN26VaMnwb+IiLBmzRp89tlnMDIywvDhw+Hu7g49Pb2Sex2Ghoaif//+2LJlyytfkVeeJ0+eYOzYsTh27Bg8PDyU7nUYEhKC3bt3Iy8vDz///DM++OADrcUBAMeOHcP48eORkZGBwYMHo23btvjss8/4XofaxL9IGWOVxf2HsuLtYWBgQF27dqVNmzZRQUFBlS3/6tWrNGHCBGrYsCEBIABkbW1N77333kv3MGlDQUEBbdy4seQ+jwBIR0eH3N3d6YcffqjSz8uDBw9o1qxZ5OTkRAKBgACQmZkZDR48mI4dO6a1vXsvksvl9M8//9DAgQPJ1NSUAJBAIKCmTZvSZ599RnFxcVUSB5FiL9vSpUupTZs2JBKJeI+WtvEvUsZYZXH/oax4e6Snp0MikVRrLPn5+RAIBNDV1a3WOIgIubm50NfX19j4YZVVWFgImUwGAwODao0DAHJzc6Gjo6PVvYuqSEtLg5mZGY8MzxhjrPbQ5BAOlaWnp1fdIQBQbAtDQ8PqDgMAoKOjA50acgeRmpDsAVBrXLfqTZMZY4wxxl5jnGgxxhhjjGkJJ1qMMcYYY1rCiRZjjDHGmJZwosUYY4wxpiWcaDHGGNOI/Px8tG7dGgKBAGFhYdUdDmM1AidajDHGNGL27Nlo2LBhdYfBWI3CiRZjjLFXdvToUZw4cQLLly+v7lAYq1F4wFLGGGOv5NGjR5g0aRIOHDig0iCb+fn5yM/PL3mekZGhzfAYq1a8R4sxxlilEREmTJgAPz8/tGvXTqU2S5cuhUQiKSk2NjZajpKx6sOJFmOMsVIWLFgAgUBQbgkJCcEvv/yCjIwMzJ07V+V5z507F1KptKTExcVpcU0Yq158U+lK4pvCMsYqqzb0H6mpqUhNTS23jr29PUaNGoXDhw8r3aewqKgIIpEIY8aMwZYtWypcVm3YHow9T53PLJ+jxRhjrBRzc3OYm5tXWG/VqlVYvHhxyfPExES8/fbb2LVrF7y8vLQZYgkiQmxsLB49egRDQ0M4OTlV282h8/LycO/ePeTk5MDKygo2NjbVdrPslJQUxMbGQiwWo3HjxtWWxMpkMkRHRyM9PR1169aFo6OjWjdl1iSpVIro6GgUFRXBzs4O9evX1/5CiVWKVColACSVSqs7FMZYLfM69x8xMTEEgEJDQ1VuU9ntkZaWRvPmzaNGjRoRgJKip6dHQ4YMoZCQEDWjr7ygoCAaNGgQ6erqKsViY2ND8+fPr7L3uqCggFavXk2urq5KcQiFQurcuTMdOnSI5HJ5lcQSExNDkyZNIolEohRL3bp1yc/Pjx4+fFglccjlctq/fz/5+vqSQCBQisXNzY1+/fVXKiwsVGue6nxm+RwtxhhjtU5QUBBcXV2xYsUKDBw4EIcPH0ZYWBjOnz+PxYsXIzw8HB4eHli4cCFIi2fIEBHmzZsHLy8v3L17F0uXLkVgYCDCwsJw6NAh9O3bFz/88ANcXV0REhKitTgAIC4uDu3bt8f06dPh6uqKnTt34tq1awgKCsKvv/4KuVyOAQMG4J133kFubq5WY9m+fTtcXFxw+PBhTJ8+HSdPnkRYWBj8/f3x4YcfYt++fXBxccHu3bu1Gkd2djaGDx+OwYMHQywWY8OGDbhy5QquXr2KHTt2wNnZGVOmTIGvry+SkpK0E0Tl8kNWnM1euiSlyEii6GiiuDii5GSip0+JMjOJ8vKIioqqO1LGWE3zOu/Rqgx1t0dYWBgZGxuTj48PxcXFlVmnsLCQFi5cSADoq6++0mS4Sj7//HMCQEuWLCGZTFZmnQcPHpCXlxeZmJjQrVu3tBJHamoqOTo6kp2d3Uv35MnlctqxYwcZGBhQv379qEhL/6B27txJAOjdd9+lzMzMMutIpVIaNWoUCQQC2r9/v1biKCwspJ49e5KRkRHt2bPnpfUuXbpEjRo1oqZNm1JaWppK81bnM8snw1dS8YlwgBRA+ce9RSJAR0dRdHUBY2NAIlEuJialpz1f6tYFLCyAajrtgDGmQXzytzJ1todMJkPr1q2ho6ODwMBAGBkZlVt/6dKl+OKLLxAYGIgOHTpoMmycO3cOXbp0wfLlyzFr1qxy62ZmZsLHxwcikQhXr17V+DlK77zzDo4fP46rV6/C3t6+3LpHjx5Fnz59sHr1akydOlWjcSQmJqJp06YYMGAAtm7dWu75aXK5HCNGjMCpU6dw584dWFhYaDSWH3/8EbNnz8aJEyfQvXv3cutGRUXBw8MDQ4YMwR9//FHhvNX6DquWF7IXFWezZmZSkkiIDA2JxGIiQLtFIiFyciLy9SUaMoRoyhSi+fOJ1q4l2rOH6Px5ojt3iNLTiaroMDxjTE28R0uZOttjx44dBICuXr2q0ryLioqodevW1LNnz1cNs5QuXbqQp6enyuc8Xb58mQCUu3elMiIjIwkAbdiwQeU27733HllZWVFBQYFGY5k1axaZmpqqvGcoNTWV6tSpQ1988YVG48jNzaV69erRlClTVG6zevVqEggEFB0dXWFd3qNVBV6WzRIBMhlQWAgUFCj+FpeCAkXJygKk0rJLRkbZ09PSFPNVh54e0KAB0KgRYG39rDz/vEEDQMzXnjJWpXiPljJ1tseQIUOQnJyMixcvqjz/DRs2YPLkyUhNTYWZmdmrhgtAcUWfpaUlNm/ejPHjx6vcrl27dmjSpAl27typkTgA4Ntvv8UPP/yAlJQUla+2vHbtGtzd3XH69Gl07dpVY7HY2tpi0KBBWLVqlcptJk+ejDNnzuDu3bsai+PYsWPo3bs3bt26BVdXV5Xa5OTkwNzcHIsWLcKnn35abl0e3qEaCQTPDhOqcCcKlREB6enAo0dASkrFfzMzgfx84MEDRSkvXiur0kmYrS1gZ6coDRoAQr5sgjFWA4SFhWHYsGFqtfH09AQR4dSpUxg+fLhG4rh+/ToAwNfXV612FhYW2LVrl0YTrbCwMLRr106tIS1at24NAPj77781lmg9ffoUcXFxam8TJycn/Pbbb3jy5Anq1aunkVhCQ0NRt25duLi4qNzG0NAQMpkMGzZsqDDRUgcnWrWEQACYmipKs2YV18/JUSRcSUlAfLyiJCQoP05IUOxpS0pSlODgsuelo6NIvooTLzs75UTMxgbQ19fs+jLGWFkyMzNRt25dtdoI//uleOLECY0lWpmZmQCgdiz+/v4aWf6LsZiamqrVpnib/Prrr1i3bp3G4gDU3yYxMTEAgAcPHmgs0Sr+nKg7hllhYaFG96wBnGi9tgwNAXt7RXkZuRx4/Lh0AhYXBzx8CMTGKh4XFgIxMYryMpaWz5bn4KD819aWEzHGmGaYm5urfRl+8Q2s3333XY3FUTzQZVJSklrJwYgRI3Du3DmNxQEotklMeR10GQoKCgAAy5Yt01gcxdtB3fen2X97D9TZ+1SR+vXrIyUlpeQuBapycHCAu7u7xuIAONF6owmFigTJ0hJo27bsOkVFQGKiIvF6WcnNVRyyfPQICAoqez4NGyonXy8mYjo62llHxtjrpX379vD39wcRqby34tSpU9DX19foP9DiKx/9/f3RokULldrI5XJcvnwZffv21VgcAODl5YXdu3cjLS1N5T1bAQEBAIBu3bppLA5jY2O4urrC399frfPWAgIC4O7uDgMDA43F4uXlhZycHFy8eBEdO3ZUqU3xSPrq3LdTJSqfjs+U8FVDCnI50ePHRCEhiqsely8nmjaNqG9fIldXxdWYFV1JKRQS2doSdepENH480YIFRFu2EAUEKMYm47HI2OuG+w9l6myPU6dOEQA6cOCASvPOysoia2trGjdu3KuGWcrIkSPJ3t6ecnJyVKr/999/EwA6f/68RuNITk4mPT09lccLk8vl1KNHD3J1ddX4KPHff/896erq0v3791WqHxkZSSKRiFauXKnROIqKiqhJkybUt29flddx9uzZZGhoSKmpqRXWVeczW+2J1po1a8je3p709PSobdu2FBAQ8NK658+fJx8fHzIzMyN9fX1q2rQprVixQqlO586dlYbXLy59+vQpqTN//vxSr1taWqoVN3eUqpHLiVJSiK5cIfr7b6Lvv1cMSdG7N1GzZkT6+hUnYrq6iiEtevYkmjyZ6LvviHbtIgoKUsybh7FgtQ33H8rU2R5yuZx69epFlpaWFV6GX1RURO+88w4ZGhrSvXv3NBVuiTt37pC+vj6NHz++wsE/7927R/Xr16cBAwZoPA4ioi+//JLEYjGdOXOmwrrLli0jAPTPP/9oPI6srCyys7MjLy8vysrKKreuVCqlNm3aUJMmTVROVtWxd+9eAkCrVq2qsO7x48dJJBLRokWLVJp3rUm0du7cSTo6OrRhwwaKiIigjz/+mIyMjF56/6Nr167R9u3b6datWxQTE0N//fUXGRoa0vr160vqPHnyhJKSkkrKrVu3SCQS0aZNm0rqzJ8/n1xdXZXqpaSkqBU7d5SaIZcTJSURXbxItG0b0eLFRBMnEnXrRuTgQCQSVZyIGRkp9p7166fYm/bjj0R79xJdu6YYpZ+xmob7D2Xqbo/k5GRydHSkBg0a0PHjx8usk5CQQP379yehUEi7du3SZLhKtm7dSgKBgAYPHkzJycmlXpfL5fTvv/+SpaUlOTs70+PHj7USR35+PvXo0YMMDAxo/fr1ZY5Sn5WVRTNmzCAANHfuXK3EQUQUHBxMxsbG1LZt25eOhH/9+nVq2bIlSSQSCgsL01osM2fOJAA0e/Zsys7OLvV6YWEhrV69mvT09KhPnz4q3/Ow1oyj5eXlhbZt2ypd8dC8eXMMGjQIS5cuVWkeQ4YMgZGREf76668yX//555/x9ddfIykpqWQE4QULFuDAgQMICwurdOw8Dk7VkMkUJ+kXn4z/4MGzxzExivPHKiKRlD4/zN5eccWkvb1i1H3GqhL3H8oqsz2Sk5MxZswYnD59Gh4eHujduzesra2RlZWFy5cv4+DBg6hTpw42bdqEfv36aTX+AwcOYOLEicjNzcXAgQPh6ekJY2NjxMXF4ciRI7h69SreeustbN26VeOjnz8vLy8P06ZNw8aNG+Ho6IhBgwbByckJhYWFuHHjBvbu3Yvs7GwsXboUn3zyidpX5KkjLCwMI0eORFRUFN5++2107twZ5ubmePz4Mc6cOYOTJ0+iWbNm2LVrF9zc3LQWBxFh2bJlmDdvHiQSCYYOHQo3NzeIxWLcuXMHBw4cQExMDKZMmYKffvpJ5SEyasXI8Pn5+SQSiWjfvn1K06dPn06dOnVSaR7Xrl0jS0vLckfDbdGiBU2aNElp2vz588nQ0JAaNGhA9vb2NHLkyAqPJ+fl5ZFUKi0pcXFx/Iu0BsjLU4yEf/w40a+/Es2ZQzRyJJGXF5GFheqj7bdsSTRgANH06c/2iF29SpSayocmmebxHi1lld0ecrmcDh06RIMHDyYLCwsCQAYGBuTp6UnfffedyqOTa8LTp09pyZIl5OHhQQYGBiWnpAwdOpT++ecfjZ8LVZ6goCD63//+R3Z2diQQCEhHR4dcXV3ps88+owcPHlRZHHl5ebRhwwbq1q0bSSQSAkASiYR69OhBf/zxB+Xn51dZLNHR0TRz5kxq3rw5icViEgqFZG9vTxMnTlT5LgPPqxV7tBITE9GoUSNcuHABPj4+JdOXLFmCLVu24M6dOy9ta21tjcePH0Mmk2HBggX46quvyqx35coVeHl5ISgoCJ6eniXTjx49ipycHDg7O+PRo0dYvHgxIiMjER4e/tLLdBcsWICFCxeWms6/SGu2nBzlvWDFV0oWD+T6+HHF8zA2fjZumK3ts1L8vFEjHl2fqYf3aCnT1PaQy+Ul40NVN1LjqkhtxwGgRsRSU94fTWyTWjUy/IsrqsqH8/z58yW7h+fMmYMmTZpg9OjRpept3LgRLVq0UEqyAKB3794lj93c3ODt7Q1HR0ds2bIFM2fOLHOZc+fOVXotIyMDNjY2Fa4fq16GhoCLi6KUJTtbMV7YgwfKCVjx4+RkxS2TIiIUpSxCoSLZejEJs7FRFGtrwMxMMegsY0x7asI/8WI1IbEBak4cQM15f6p6m1RbomVubg6RSITk5GSl6cX3jyqPg4MDAEWS9OjRIyxYsKBUopWTk4OdO3di0aJFFcZiZGQENzc3REVFvbSOnp6eWrc3YLWDkRHQvLmilCUvT5GIFZfigVyfLwUFioFd4+KACxfKno+BwbPbHBUnXy/+5WSMMcZeP9WWaOnq6sLd3R3+/v4YPHhwyXR/f38MHDhQ5fkQUcmov8/7+++/kZ+fj7Fjx1Y4j/z8fNy+fVvlQc3Ym0NfH3B2VpSyyOWKWx29mIg9fKg4iT8uTvF6bi4QFaUoL1OcjDVsqNhD9vzf4scNGvAo+4wxVptU66HDmTNnYty4cWjXrh28vb3x22+/ITY2Fn5+fgAUh+sSEhLw559/AgDWrFkDW1vbkuH6AwMDsXz5cnz00Uel5r1x40YMGjSozHOuPv30U/Tv3x+2trZISUnB4sWLkZGRodZItowBisOGVlaK8sIR6hJ5eYqrI+PiniVfL/59/Fi1ZAwA6tVTTr6KHxfHUVw0OMgyY4yxSqrWRGvkyJF48uQJFi1ahKSkJLRo0QJHjhyBnZ0dAMX9kmJjY0vqy+VyzJ07FzExMRCLxXB0dMR3332HyZMnK8337t27CAwMxIkTJ8pcbnx8PEaPHo3U1FTUr18f7du3x+XLl0uWy5gm6esDjRsrysvk5T27z2Ri4rOSkKD8OD8fePJEUW7eLH+5Jialk68Xi4UFUL8+oKur2XVmjDGmUK3jaNVmfNUQq2pEQFpa6eQrIUFx0v7zJS9PvXmbmDxLup4vL06zsADMzfnw5avi/kMZbw9W29Sqqw4ZY6oRCBQnzJuZAeWN70cEZGSUTr7KKo8fK24cnpGhKPfuqRaLoaEijnr1nsVU0eO6dRUJGp/wzxh7k3CixdhrRiBQjIYvkQBNm5ZfVy4H0tMVCdfjx4oT94sfv/g8JQVITVWM1p+Toyjx8erFpqv7LLbiUrdu6WnPTzc2VhQjo2eP9fQ4YWOM1Q6caDH2BhMKn+15qigpAxR7y6RS4OlTxXliT58qP37ZtLQ0RduCgmeJ26sQiUonX88/NzRUXAygr1+6lDXdwECRvOnoKIpYXPFfkYiTPcZYxTjRYoypTCBQ7GmqW7f8k/tfJJcDmZmKJC09XfG3rFLWa9nZikFjs7KenXtWVPTs9er0fMJVXICyHz//nDH25uBEizGmdULhs0OCtraVn09RkXLilZVV+nlWlmKojLy8Z3+LS3nPc3MVh0ULC0v/lcvLjkcmUxTGGHsZTrQYY7WGSKS4QrKqL0yTy58lVS8mYUVFz25RDpT9+MXnmZkvH3eNMfZ64USLMcYqIBQqTuTX1HhjGRmamQ9jrObjRIsxxliNcPv2bbi7u0Msrp5/TYmJiYiOjgYAODo6okGDBtUSR2FhIe7cuYPU1FSYmJigefPmMKimWz2kpaXhzp07KCgoQKNGjdC4ceNquVE1EeH+/ftISEiAvr4+mjZtirp161Z5HIDiXsqhoaEq168Zt9JmjDH2xmvfvj3Mzc3x4YcfIjExsUqWKZPJsH79eri6uqJRo0bo2LEjOnbsiIYNG8LNzQ2///47ioqKqiSWuLg4+Pn5wdzcHG5ubujatSvc3d1hamqK4cOH48aNG1USBwD8+++/6NixI+rVqwdvb2907twZTZo0ga2tLb755htkZWVVSRyZmZmYP38+rK2t4eTkhC5duqB9+/YwMzNDly5dcPz48SqJAwCuXbuGwYMHw9TUFF26dFG5HSdajDHGaoQjR47go48+wu7du+Hi4oJ///1Xq8tLSUlB586dMWXKFLi6umLPnj0IDw9HeHg4du/eDWdnZ0yaNAndunVDamqqVmM5ePAgXF1dsX//fnzyyScICAjA3bt3ERQUhCVLluD69eto27YtVqxYodU48vPzMX78ePTr1w9CoRB//PEHwsLCEBkZiSNHjqBv37749ttv0bp1a4SHh2s1luvXr8PNzQ3Lli3D4MGDcezYMdy5cwdhYWH4/fffUVhYiF69euH9999HYWGh1uIgInz33Xfw8PBAZGQkvv/+e5w+fVqtGbBKkEqlBICkUml1h8IYq2W4/1D24vZIS0ujgQMHklgsppMnT2plmZmZmeTm5kZWVlZ04cKFl9Y7d+4c1a9fn9q2bUvZ2dlaieXo0aMkEolo6NChlJ6eXmadgoICmj17NgGgn376SStxyOVyGjFiBOnp6dFff/1Fcrm8zHpRUVHk5uZG9evXp5iYGK3EEhUVRWZmZtS2bduXLkMul9Mff/xBOjo6NHbs2JfG+6qWLl1KAGjevHlUWFhIROp9hznRqiTuKBljlcX9h7KytkdhYSH16NGDGjRoQJmZmRpf5vTp08nQ0JBu3bpVYd2wsDDS19enTz/9VONxpKenk4WFBfXu3ZtkMlmF9WfNmkVisZjCw8M1HsuWLVsIAO3du7fCuo8fPyZ7e3vq2rWrxhMcuVxOPj4+1KRJE3r69GmF9bdv304AaOfOnRqNg4goNDSUhEIhffnll0rTOdGqAtxRMsYqi/sPZS/bHg8ePCAdHR1asWKFRpeXnJxMOjo6tGTJEpXbLFiwgPT09Cg1NVWjsXz33Xekp6dH8fHxKtXPy8sje3t7Gjt2rEbjKCoqIkdHRxo2bJjKbQ4fPkwA6Pz58xqNxd/fnwCQv7+/ym369etHLi4uGk/6hg0bRk5OTlRQUKA0XZ3vMJ+jxRhjrEays7ND3759sWfPHo3O9/DhwygqKsIHH3ygchs/Pz8UFBRo/LyxvXv3YuDAgWjUqJFK9fX09DBx4kQcOHAAMg2Olnv9+nXcv38fU6ZMUblN3759YWNjo/H3Z8+ePXByckL37t1VbvPhhx8iIiICt2/f1lgceXl5OHz4MCZNmgQdHZ1Kz4cTLcYYYzVWgwYNcPHiRchfNjx/Jdy4cQNNmzZFvXr1VG5jaWkJIsKmTZs0FgcR4caNG/Dx8VGrnYuLC7KysnD16lWNxXL9+nUAgLe3t8ptBAIBdHV1sXLlSo3FURxL+/bt1RpGojjuAwcOaCyOqKgo5Ofnq/3+vIgTLcYYYzVW8XhFmky0srKyKj0G09mzZzUWh0wmQ35+PiQSiVrtpP/d5DMsLExjsWRlZUFXV1ft8bru37+vsRiej0Xd98fkv9tF7Nu3T6NxAFD7/XkRJ1qMMcZqrC5dusDAwAAikUhj86xfvz4SEhLUakNEMDY2xuzZszUWh46ODiQSidqxFCchvXv31lgsFhYWKCgoUHsYi65du6Jr164ai6M4FnW3SfG4a3PnztVYHPXr1wcAtWN5ESdajDHGaqwzZ87grbfe0uho5N7e3oiNjUVkZKTKbW7evImsrCx07txZY3EUx3LixAm12pw8eRLW1tawsbHRWBzt27cHALUGAM3JyUFISIjGEy1vb2+cPXsW+fn5Krc5ceIEBAIBOnTooLE4GjduDAsLC7XfnxdxosUYY6xGOnv2LIKCgjBhwgSNzrdXr16wsLDA0qVLVW6zdOlSNGzYED169NBoLBMmTEBAQAAuXLigUv3ExERs2bIF48eP12jyaWtri65du2LZsmUqn2S/du1a5OTkYOzYsRqLAwDGjRuHtLQ0bNiwQaX6BQUFWL58OXr16gUrKyuNxSEUCjFu3Dj8/vvvSElJqfyMNHod5BuEL89mjFUW9x/Kytoe8fHxZGtrSx06dKCioiKNL3PDhg0EgP78888K627cuJEA0JYtWzQeh0wmI09PT3JwcKCkpKRy6+bk5FDnzp3JyspKpfGl1HXlyhUSCoX0ySefVDhMwsWLF0lfX5+mT5+u8TiIiCZPnkyGhoYUHBxcbj25XE5TpkwhsVhMoaGhGo8jJSWFzM3NqUePHpSXl1cyncfRqgLcUTLGKov7D2Uvbg9/f3+ysbEhGxsbiouL08oy5XI5vffeeyQQCGj+/PmUk5NTqk52djZ98cUXBID8/Py0NvJ4TEwMNWzYkOzs7OjMmTNl1gkPDydPT08yMDCgwMBArcRBRLR69WoCQGPGjKGUlJRSr8tkMvr999/J0NCQOnbsSLm5uVqJIzs7m9q3b0916tShzZs3l5lsJycn04gRIwgAbdiwQStxEBGdPn2a9PT0yMfHhyIjI4lIve+wgIjolfatvaEyMjIgkUgglUpLrnZgjDFVcP+hrHh7zJgxAwEBAbh69So6deqEbdu2wdraWmvLlcvlWLRoEb799luYmppiwIABcHFxAREhIiICBw8eREZGBr7++mt88cUXEAq1d7ZNbGwsRo8ejYsXL8LDwwM9evSAlZUV0tLSEBgYiFOnTsHR0RHbt2+Hh4eH1uIAgO3bt+PDDz9EYWEh+vbtC3d3d+jp6SE6Ohr//PMPYmJiMGHCBKxZswaGhoZaiyMzMxN+fn7Yvn07mjRpgr59+8LBwQG5ubkICQnBv//+CwMDA6xfvx7Dhw/XWhwAcOnSJYwZMwYPHz5Ejx494O7ujqVLl6r0HeZEq5K4o2SMVRb3H8qKt0fDhg3h4+ODd999F/369dPoOUjluXfvHn799VecOHECMTExABQnQr/99tvw8/ND48aNqyQOuVyOQ4cO4a+//kJQUBCePHmCOnXqoE2bNhgxYgTGjh0LPT29KoklNTUVv/32Gw4fPozIyEjk5+fD2toanTt3xgcffKD1ZO95ly5dwu+//45z584hMTERenp6aN68OQYOHIhJkybBzMysSuLIy8vDn3/+id27dyM0NBRPnjzhREubuKNkjFUW9x/KeHuw2kadzyxfdcgYY4wxpiWcaDHGGGOMaQknWowxxhhjWsKJFmOMMcaYlnCixRhjjDGmJZxoMcYYY4xpCSdajDHGGGNawokWY4wxxpiWcKLFGGOMMaYlnGgxxhhjjGkJJ1qMMcYYY1oiru4AGGOspiB6Vl58/mIpfv1FL94H+fnnxY/z8jQfO2OsZuJEi7E3DBEgkwGFheqV59sUP37+b1nTnn/t+VJUVPG04udFReoXubzsQvTy1+Ty6n5nGGOvI060GFPTi4lKQYFyQlLe8+LHZU2r6PWK2qj6uLCwurcgY5pVUFCA8PBwJCcnw8jICK6urqhXr161xJKamorw8HDk5OSgQYMGcHV1hY6OTpXHIZfLcefOHcTGxkIsFsPZ2Rk2NjZVHgcAZGVl4ebNm0hPT4epqSnc3NxgZGRULbE8fPgQUVFRkMvlsLOzg5OTE4RC7Z5FxYkW05jivQUv7o0oaw9FWXsxXrb342Wvq7Kn5cXHmiqvG4EA0NEpu4jF5U9X5e/zj0WiZ9Mqei4SVb4IhYr1EgpVK8V1BYJnpXjbvKwUv17sxUOJzz9//rFUClTT/7zXSlJSEr755hts3boVmZmZSq916dIF8+bNQ/fu3asklhMnTuDbb79FQECA0nSJRIJx48Zh3rx5sLS01Hoc2dnZWLFiBX799VckJiYqvdaiRQt8+umnGDdunNaTCwC4efMmFixYgMOHD6PwuY5TV1cXgwYNwvz58+Hi4qL1OIqKirB582asWLECERERSq9ZW1tjypQpmDFjBgwMDLSyfAFRWWcZsIpkZGRAIpHg44+l0NU1KZleVsf64rTKlpcd+nhx2ovPiw+lPH9I5cVpL75W2fKmEgqfJSC6uqUflzdNlTqqvK7K85dNE4mqewu+WYr7D6lUChMTk4ob1AL//vsvFi1ahBs3bsDIyAidOnXCvn37VGpbme1x8uRJjBgxAkKhEB9++CF69+4NGxsbZGZm4vLly1i/fj2CgoIwffp0rFixAiItfchlMhmmT5+OdevWwcfHBx988AG8vLxgbGyM2NhYHDlyBGvXroVQKMSePXvQpUsXrcQBAHfv3kW/fv0QGxuL9957D0OGDIGzszMKCwtx/fp1/PXXXzhw4ADefvtt/P3331r97K1evRozZsyAg4MDpk6dis6dO8Pc3ByPHz/GmTNnsGbNGsTFxWH16tX44IMPtBZHWloahg0bhtOnT2Po0KEYO3YsWrZsCZFIhLt372LPnj3YvHkzHB0dcfjwYTg6Oqo0X3U+s5xoVVLxRgakAF6PjlKbhMKX7614fq/Hi3s/yitl7XFR93FlCicq7FW9bonW3r17MWnSJCxZsgTdunUDEeHmzZsYNmyYSu3V3R6XLl1C165d0bVrV2zbtg1mZmal6hAR1q5di+nTp2PatGlYuXKl2uuliilTpmDDhg1Ys2YNPvjgAwhevBoCisOJo0ePRmBgIAICAuDh4aHxOBITE+Hh4QGJRIIDBw7A2dm5zHonTpzAiBEj0Lp1a/j7+2vlsOaGDRvwwQcf4JNPPsH3338PXV3dUnXy8/MxY8YMrFu3Dlu2bMG7776r8TgKCgrQtWtXREZGYs+ePejatWuZ9W7fvo2BAwciLy8PISEhsLCwqHDetSrRWrt2LZYtW4akpCS4urri559/RseOHcusGxgYiM8//xyRkZHIycmBnZ0dJk+ejBkzZpTU2bx5M/73v/+Vapubmwt9ff1KLbcsxRt52jQp9PRMyryy6PnHL06rTCnvcEdZzwWCZ4dQhMJnj8uaVtbj54uqh3GKk47nkyqRqPSVWIy9yV6nREsmk8He3h4LFy7ExIkTKzUPdbZHfn4+XFxcYGVlhdOnT0NPT6/c+mvWrMG0adPg7++PHj16VCq+lzly5Aj69u2L3377DZMmTSq3bl5eHjp16gSpVIpbt25pPMEZOHAggoODce3aNVhZWZVbNzAwEF26dMGSJUswe/ZsjcYRExMDFxcXTJgwAWvXri0z8SxGRJg4cSL+/vtvREZGwtraWqOxLFq0CIsXL8b58+fh5eVVbt34+Hi0bdsWXbt2xa5duyqct1rfYapGO3fuJB0dHdqwYQNFRETQxx9/TEZGRvTw4cMy61+7do22b99Ot27dopiYGPrrr7/I0NCQ1q9fX1Jn06ZNZGJiQklJSUrlVZZbFqlUSgBIKpVWbuUZY2+s16n/CAoKIgD0xx9/UOvWrcnKyop69epFt27demmbvLw8kkqlJSUuLk7l7bFp0yYSCAQUHh6uUnxyuZzat29PnTp1UnmdVFU8X7lcrlL9sLAwAkDbtm3TaBzXr19Xe75Tp04lMzMzysvL02gsU6dOJQsLC8rKylKpvlQqJTMzM5o5c6ZG48jKyiITExO15rtx40YCQJGRkRXWVec7XK2JlqenJ/n5+SlNa9asGc2ZM0fleQwePJjGjh1b8nzTpk0kkUi0vtzXqaNkjFWt16n/2LFjBwEgW1tb2rNnD4WEhNDo0aOpXr169OTJkzLbzJ8/nwCUKqpsj379+lHnzp3VinHz5s0EgFJSUtRqV56EhAQCQNu3b1ernbe3Nw0ZMkRjcRAptqepqSkVFBSo3ObmzZsEgI4fP66xOORyOVlZWdGsWbPUajdt2jSyt7fXWBxERIcOHSIAdPfuXZXb5OXlkbGxMS1ZsqTCuup8h6vtqsOCggJcvXoVc+bMUZres2dPXLx4UaV5hIaG4uLFi1i8eLHS9KysLNjZ2aGoqAitW7fGN998gzZt2rzScvPz85Gfn1/yXCqVAlDsPmSMMXUU9xtUg0+RXbBgARYuXFhuneDgYMj/G4Dsyy+/xNChQwEAmzZtgrW1NXbv3o3JkyeXajd37lzMnDmz5LlUKoWtra1K/en169cxbNgwtfpeJycnAMC+ffswevRolduV5/LlywAAV1dXtWLR1dXFvn37NPq/49q1a2jdujVyc3ORm5urUpvioR42btyI9u3baySOJ0+eIDk5Ga1atVJr/erXr48HDx7g3r17Kp0fpYorV67A1NQUlpaWasWSlZWFn376CVOnTi23nlrfYZVTPQ0r/jVw4cIFpenffvstOTs7l9u2UaNGpKurS0KhkBYtWqT02qVLl+ivv/6isLAwCggIoKFDh5KBgUFJVlvZ5b7sFxgXLly4VLbcv39fnW6zSj1+/Jhu375dbsnNzaXTp08TADp//rxSe09PT/riiy9UWlbxoUMuXGpbiYuLq/DzXe3jaL14ohwRlXvyHACcP38eWVlZuHz5MubMmYMmTZqU/Epp3769UnbeoUMHtG3bFr/88gtWrVpV6eW++AssPT0ddnZ2iI2N/e/qw9dDRkYGbGxsEBcXV+tP0n3R67puvF61T/EenLKulqspzM3NYW5uXmE9d3d36Onp4c6dO/D19QUAFBYW4sGDB7Czs1NpWQ0bNkRcXBzq1KlTYf9fntf5M1NZvE1K08Q2ISJkZmaiYcOGFdattkTL3NwcIpEIycnJStNTUlIqHNTNwcEBAODm5oZHjx5hwYIFL90dLBQK4eHhgaioqFdarp6eXplXt0gkktfyw2tiYvJarhfw+q4br1ftUxWDRmqbiYkJ/Pz8MH/+fNjY2MDOzg7Lli0DAAwfPlyleQiFQo1ecfY6f2Yqi7dJaa+6TVTdyVJt33JdXV24u7vD399fabq/vz98fHxUng8RKZ07VdbrYWFhaNCggUaXyxhjTGHZsmUYNWoUxo0bBw8PDzx8+BCnT5+GqalpdYfGWLWr1kOHM2fOxLhx49CuXTt4e3vjt99+Q2xsLPz8/AAoDtclJCTgzz//BKAYD8XW1hbNmjUDoBgLZPny5fjoo49K5rlw4UK0b98eTk5OyMjIwKpVqxAWFoY1a9aovFzGGGOq09HRwfLly7F8+fLqDoWxGqdaE62RI0fiyZMnWLRoEZKSktCiRQscOXKk5Lh+UlISYmNjS+rL5XLMnTsXMTExEIvFcHR0xHfffad0VUt6ejo++OADJCcnQyKRoE2bNggICICnp6fKy1WFnp4e5s+fX+FgebXN67pewOu7brxetc/rvG7VibdrabxNSqvqbVLtI8MzxhhjjL2uav+ZmIwxxhhjNRQnWowxxhhjWsKJFmOMMcaYlnCixRhjjDGmJZxoMcYYY4xpCSda5Vi7di0cHBygr68Pd3d3nD9/vtz6586dg7u7O/T19dG4cWP8+uuvVRSpetRZr3379uGtt95C/fr1YWJiAm9vbxw/frwKo1WPuu9ZsQsXLkAsFqN169baDbCS1F2v/Px8fPnll7Czs4Oenh4cHR3xxx9/VFG0qlN3vbZt24ZWrVrB0NAQDRo0wP/+9z88efKkiqJVTUBAAPr374+GDRtCIBDgwIEDFbapLX1HbfHgwQNMnDgRDg4OMDAwgKOjI+bPn4+CgoLqDq1KVbY/fF0tXboUHh4eqFOnDiwsLDBo0CDcuXNH+wtW7zajb46dO3eSjo4ObdiwgSIiIujjjz8mIyMjevjwYZn1o6OjydDQkD7++GOKiIigDRs2kI6ODu3Zs6eKIy+fuuv18ccf0/fff09Xrlyhu3fv0ty5c0lHR4euXbtWxZFXTN11K5aenk6NGzemnj17UqtWraomWDVUZr0GDBhAXl5e5O/vTzExMRQUFFTqRurVTd31On/+PAmFQlq5ciVFR0fT+fPnydXVlQYNGlTFkZfvyJEj9OWXX9LevXsJAO3fv7/c+rWl76hNjh49ShMmTKDjx4/T/fv36eDBg2RhYUGzZs2q7tCqTGX7w9fZ22+/TZs2baJbt25RWFgY9e3bl2xtbSkrK0ury+VE6yU8PT3Jz89PaVqzZs1ozpw5ZdafPXs2NWvWTGna5MmTqX379lqLsTLUXa+yuLi40MKFCzUd2iur7LqNHDmS5s2bR/Pnz6+RiZa663X06FGSSCT05MmTqgiv0tRdr2XLllHjxo2Vpq1atYqsra21FuOrUiXRqi19R233ww8/kIODQ3WHUWU00de/7lJSUggAnTt3TqvL4UOHZSgoKMDVq1fRs2dPpek9e/bExYsXy2xz6dKlUvXffvtthISEoLCwUGuxqqMy6/UiuVyOzMxMmJmZaSPESqvsum3atAn379/H/PnztR1ipVRmvQ4dOoR27drhhx9+QKNGjeDs7IxPP/0Uubm5VRGySiqzXj4+PoiPj8eRI0dARHj06BH27NmDvn37VkXIWlMb+o7XgVQqrXH9lrZooq9/E0ilUgDQ+ueiWm/BU1OlpqaiqKgIlpaWStMtLS2RnJxcZpvk5OQy68tkMqSmppbc1Lo6VWa9XvTjjz8iOzsbI0aM0EaIlVaZdYuKisKcOXNw/vx5iMU186tQmfWKjo5GYGAg9PX1sX//fqSmpuLDDz/E06dPa8x5WpVZLx8fH2zbtg0jR45EXl4eZDIZBgwYgF9++aUqQtaa2tB31Hb379/HL7/8gh9//LG6Q6kSmujrX3dEhJkzZ8LX1xctWrTQ6rJ4j1Y5BAKB0nMiKjWtovplTa9u6q5XsR07dmDBggXYtWsXLCwstBXeK1F13YqKivDOO+9g4cKFcHZ2rqrwKk2d90wul0MgEGDbtm3w9PREnz59sGLFCmzevLlG7dUC1FuviIgITJ8+HV9//TWuXr2KY8eOISYm5rW4GXxt6Tuq24IFCyAQCMotISEhSm0SExPRq1cvDB8+HO+//341RV49KtvXvwmmTZuGGzduYMeOHVpfVs38GV/NzM3NIRKJSmX+KSkppX4hFLOysiqzvlgsRr169bQWqzoqs17Fdu3ahYkTJ2L37t3o0aOHNsOsFHXXLTMzEyEhIQgNDcW0adMAKBIUIoJYLMaJEyfQrVu3Kom9PJV5zxo0aIBGjRpBIpGUTGvevDmICPHx8XByctJqzKqozHotXboUHTp0wGeffQYAaNmyJYyMjNCxY0csXry41u75qQ19R00xbdo0jBo1qtw69vb2JY8TExPRtWtXeHt747ffftNydDXHq/T1b4KPPvoIhw4dQkBAAKytrbW+PN6jVQZdXV24u7vD399fabq/vz98fHzKbOPt7V2q/okTJ9CuXTvo6OhoLVZ1VGa9AMWerAkTJmD79u019nwYddfNxMQEN2/eRFhYWEnx8/ND06ZNERYWBi8vr6oKvVyVec86dOiAxMREZGVllUy7e/cuhEJhlXQqqqjMeuXk5EAoVO6yRCIRgGd7gGqj2tB31BTm5uZo1qxZuUVfXx8AkJCQgC5duqBt27bYtGlTqc/O66yyff3rjogwbdo07Nu3D6dPn4aDg0OVLZiVofjS2I0bN1JERAR98sknZGRkRA8ePCAiojlz5tC4ceNK6hdfoj1jxgyKiIigjRs31shLtNVdr+3bt5NYLKY1a9ZQUlJSSUlPT6+uVXgpddftRTX1qkN11yszM5Osra1p2LBhFB4eTufOnSMnJyd6//33q2sVyqTuem3atInEYjGtXbuW7t+/T4GBgdSuXTvy9PSsrlUoU2ZmJoWGhlJoaCgBoBUrVlBoaGjJZfW1te+oTRISEqhJkybUrVs3io+PV+q73hQVfb/eRFOmTCGJREJnz55V+kzk5ORodbmcaJVjzZo1ZGdnR7q6utS2bVulS0DHjx9PnTt3Vqp/9uxZatOmDenq6pK9vT2tW7euiiNWjTrr1blzZwJQqowfP77qA1eBuu/Z82pqokWk/nrdvn2bevToQQYGBmRtbU0zZ87UemdSGequ16pVq8jFxYUMDAyoQYMGNGbMGIqPj6/iqMt35syZcr8ztbnvqC02bdpU5nvwpu1bKO/79SZ62Wdi06ZNWl2u4L+FM8YYY4wxDXtzDlozxhhjjFUxTrQYY4wxxrSEEy3GGGOMMS3hRIsxxhhjTEs40WKMMcYY0xJOtBhjjDHGtIQTLcYYY4wxLeFEizHGGGNMSzjRYowxxhjTEk60GNOgWbNmoX///tUdBmOMsRqCEy3GACxYsAACgUCpWFlZqT2fsLAwtG7dulIxTJgwAXPmzKlUW8YYYzUTJ1qM/cfV1RVJSUkl5ebNm2rP4/r162jTpo3a7eRyOf79918MHDhQ7baMMcZqLk60GPuPWCyGlZVVSalfv77S64sWLYKbmxuMjIxgaWmJKVOmoLCwsOT1uLg4PHnypGSPVnp6Ovr37w8fHx8kJSWVu+wLFy5AKBTCy8sLANCsWbNSe9iKy6pVqzS74owxxrSGEy3G/hMVFYWGDRvCwcEBo0aNQnR0dMlrRISioiKsX78eERER2Lx5M/bs2YPff/+9pE5YWBgkEgkcHBxw8+ZNeHh4oEGDBjh79iwaNGhQ7rIPHTqE/v37QyhUfCX3798PADh16hSSkpIQGxsLsViM3bt3Y/LkyVpYe8YYY9ogru4AGKsJvLy88Oeff8LZ2RmPHj3C4sWL4ePjg/DwcNSrVw8CgQALFy4sqW9nZ4e33noLkZGRJdPCwsLQqlUr7NixA1OnTsV3332nclJ06NAhLF++vOR5cnIyxGIxOnToAD09PYSFhUEmk6Fjx47Q09PT3IozxhjTKk60GAPQu3fvksdubm7w9vaGo6MjtmzZgpkzZ+Lhw4dYtmwZzp49i4SEBBQWFiIvLw9Lly4taRcWFoabN29i2rRp+Pfff+Hj46PSsm/fvo34+Hj06NGjZNrNmzfh7OxcklSFhYWhfv36sLS01NAaM8YYqwp86JCxMhgZGcHNzQ1RUVFITU2Fp6cnUlNTsWLFCgQGBuLSpUsQiURKVxiGhYVh6NChyMvLQ3p6eql5enl5ISQkBAAwfvx4rFu3DoBib9Zbb70FAwODkro3btyAm5ub0rxbtmypnZVljDGmNbxHi7Ey5Ofn4/bt2+jYsSOOHDkCmUyGHTt2QCAQAADWrFmDgoKCkkQrMzMTMTEx+PDDD9GhQweMHj0aFy9ehKura8k8v/rqKyxZsgQdOnSAsbExpkyZAgA4ePAg3n//faXl37hxA4MGDSp5HhYWhrZt22p3pRljjGkc79FiDMCnn36Kc+fOISYmBkFBQRg2bBgyMjIwfvx4mJmZISMjA4cOHUJUVBRWrFiBBQsWoFGjRiVXJoaFhUEkEsHFxQUTJkzABx98gP79+yM1NbVkGf369UN0dDSOHz+OlStXAgBSUlIQHByMfv36ldSTy+UIDw9X2oMVHR0NOzu7KtoajDHGNIUTLcYAxMfHY/To0WjatCmGDBkCXV1dXL58GXZ2dujbty8mTpyIcePGwdfXFwkJCRgxYoTSYcPr16+jWbNmJedUff/993BxccGQIUNQUFAAALhy5QrS09NRt25diMWKncmHDx+Gl5cXLCwsSuZ1//595OTkKCVarVq1woIFCxAQEFAFW4MxxpimCIiIqjsIxl53CQkJ6N27Nw4ePIghQ4Zg+/btaN68OQYMGABfX1/Mnj27ukNkjDGmBbxHizEty83NxbBhw7B69Wo4ODhg9uzZWLx4MQDA19cXo0ePruYIGWOMaQvv0WKMMcYY0xLeo8UYY4wxpiWcaDHGGGOMaQknWowxxhhjWsKJFmOMMcaYlnCixRhjjDGmJZxoMcYYY4xpCSdajDHGGGNawokWY4wxxpiWcKLFGGOMMaYlnGgxxhhjjGkJJ1qMMcYYY1ryf+7vQlT017jeAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Get the shifts from the optimized parameters\n", "dx = p_opt[0:Nx*2*Ny_opt]\n", "dy = p_opt[Nx*2*Ny_opt:2*Nx*2*Ny_opt]\n", "dr = p_opt[2*Nx*2*Ny_opt:]\n", "\n", "# Initialize and run the PWE with the optimized shifts\n", "pwe = wg_sc(dx, dy, dr)\n", "pwe.run(pol='tm', kpoints=path['kpoints'], numeig=Nx*Ny+25)\n", "\n", "# Plot the waveguide bands and the target band\n", "fig, ax = plt.subplots(1, 2, constrained_layout=True)\n", "ax[0].plot(pwe.kpoints[0, :]*5/np.pi, pwe.freqs, 'b')\n", "ax[0].plot(pwe.kpoints[0, :]*5/np.pi, f_target + np.mean(pwe.freqs[:, b_target]), 'r')\n", "ax[0].set_ylim([0.35, 0.55])\n", "ax[0].set_xlim([0, pwe.kpoints[0, -1]*5/np.pi])\n", "ax[0].set_xlabel('$5a k_x/ \\pi$')\n", "ax[0].set_ylabel('Frequency');\n", "\n", "# Use an in-built legume method to plot the structure\n", "legume.viz.shapes(pwe.layer, ax=ax[1])" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.5" } }, "nbformat": 4, "nbformat_minor": 4 }