{ "cells": [ { "cell_type": "markdown", "id": "5d7b90b7-6435-4522-bc7b-70dc49c0608a", "metadata": {}, "source": [ "# Centroid orientations and clustering algorithms\n", "\n", "Tasks such as computing the mean orientation and clustering orientations data is more difficult than one would expect because of the complicated topology of crystal-orientation spaces, which means that the typical coordinates used for orientations: Euler angles, rotation vectors, and quaternions, have periodic boundary conditions.\n", "\n", "These periodic boundary conditions mean that the standard approach for computing the centroid, the mean, does not work. The figure below tries to demonstrate this with a simple 2D toy-problem:" ] }, { "cell_type": "code", "execution_count": 1, "id": "ccb3f302-d809-4710-a773-7bea43a68eb3", "metadata": {}, "outputs": [], "source": [ "# Draw a pointcloud from a gaussian distributions\n", "import numpy as np\n", "\n", "def cluster_of_points(N, mean, cov):\n", " points = np.random.multivariate_normal(mean, cov, N).T\n", " points = points%1 # Toroidial boundary conditions\n", " return points\n", " \n", "mean_1 = np.array([0.95, 0.2])\n", "cov_1 = np.array([[0.015, 0.004], [0.004, 0.004]])\n", "cluster_1 = cluster_of_points(60, mean_1, cov_1)" ] }, { "cell_type": "code", "execution_count": 2, "id": "53af9d89-d88c-4574-bcf9-21e9bef8d7d7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "# Make somu utility functions for plotting\n", "angles = np.linspace(0, 2*np.pi, 101)\n", "def make_ellipse(mean, cov, N_sigmas):\n", " eivals, eigvecs = np.linalg.eig(cov)\n", " vecs = (np.cos(angles)*np.sqrt(eivals[0]))[np.newaxis, :]*eigvecs[:,0,np.newaxis]*N_sigmas\\\n", " + (np.sin(angles)*np.sqrt(eivals[1]))[np.newaxis, :]*eigvecs[:,1,np.newaxis]*N_sigmas\\\n", " + mean[:, np.newaxis]\n", " return vecs\n", "\n", "angles_1 = np.linspace(0, np.pi, 100)\n", "angles_2 = np.linspace(0, 2*np.pi, 100)\n", "def make_ellipsoid(mean, cov, N_sigmas):\n", " eivals, eigvecs = np.linalg.eig(cov)\n", " g = R.from_rotvec(mean)\n", " \n", " v1 = np.cos(angles_1)[:, np.newaxis]\n", " v2 = np.sin(angles_1)[:, np.newaxis]*np.cos(angles_2)[np.newaxis, :]\n", " v3 = np.sin(angles_1)[:, np.newaxis]*np.sin(angles_2)[np.newaxis, :]\n", " \n", " vecs = v1[np.newaxis, :, :]*eigvecs[:,0,np.newaxis, np.newaxis]*N_sigmas*np.sqrt(eivals[0])\\\n", " +v2[np.newaxis, :, :]*eigvecs[:,1,np.newaxis, np.newaxis]*N_sigmas*np.sqrt(eivals[1])\\\n", " +v3[np.newaxis, :, :]*eigvecs[:,2,np.newaxis, np.newaxis]*N_sigmas*np.sqrt(eivals[2])\\\n", "\n", " rots = R.from_rotvec(vecs.reshape((3,-1)).T)\n", " rots = rots * g\n", " vecs = rots.as_rotvec().T.reshape((3,100,100))\n", " return vecs\n", "\n", "def plot_box(ax):\n", " ax.plot([0,0], [0,1], 'b')\n", " ax.plot([1,1], [0,1], 'b')\n", " ax.plot([0,1], [0,0], 'r')\n", " ax.plot([0,1], [1,1], 'r')\n", " ax.set_aspect('equal', 'box')\n", " ax.axis('off')\n", " ax.set_xlim(-0.0, 1.0)\n", " ax.set_xlabel(r'$x_1$')\n", " ax.set_ylim(-0.0, 1.0)\n", " ax.set_ylabel(r'$x_2$')\n", "\n", "# Make the plot\n", "fig = plt.figure(figsize = (5, 5))\n", "ax1 = plt.subplot(1,1,1)\n", "scatt = ax1.scatter(*cluster_1, c='k', s=5 , alpha=1)\n", "vecs = make_ellipse(mean_1, cov_1, 1)\n", "elips = plt.plot(mean_1[0], mean_1[1], 'x', markersize=13, markeredgewidth=5, color='C0')\n", "ax1.plot(vecs[0], vecs[1], color = 'C0')\n", "vecs = make_ellipse(mean_1, cov_1, 2)\n", "ax1.plot(vecs[0], vecs[1], '--',color = 'C0')\n", "vecs = make_ellipse(mean_1-np.array([1,0]), cov_1, 1)\n", "ax1.plot(vecs[0], vecs[1], color = 'C0')\n", "vecs = make_ellipse(mean_1-np.array([1,0]), cov_1, 2)\n", "ax1.plot(vecs[0], vecs[1], '--',color = 'C0')\n", "plot_box(ax1)\n", "\n", "mean = np.mean(cluster_1, axis=1)\n", "mean_x = plt.plot(mean[0], mean[1], 'x', markersize=13, markeredgewidth=5, color='C1')\n", "plt.legend([elips[0], scatt, mean_x[0]], ['Distribution centroid', 'Sample', 'Sample mean'],)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "49d265ff-4013-433c-99fb-bf5d8a1b22d4", "metadata": {}, "source": [ "We draw a set of points from a 2D Gaussian distribution, then we put the data in a 1-by-1 box with toroidal boundary conditions such that part of the dataset appears on the other side of the domain.\n", "\n", "This in turn means that the coordinate-wise average does not give a good estimate of the centroid position illustrated by the orange cross.\n", "\n", "In this python package, we have implemented two kinds of algorithms to overcome this issue.\n", "\n", "The notebook is split in two parts:\n", "\n", "1. Iterative methods\n", "2. Embedding methods\n", "\n", "## 1. Iterative methods\n", "\n", "Since orientation space is a Lie group, it is locally similar to Eucluidian space which means that if the cluster is small enough, the coordinate wise mean **is** a good estimate of the centroid when using apropriate coordinates. 3D rotation-vectors are one such good choice of coordinates for clusters close to the identity rotation, $e$.\n", "\n", "We can shift orientations towards $e$ by composing with an estimate of the inverse centroid orientation, so the idea is to use the mean in rotation vector space as a rough estimate of the true centroid orientation and use this estimate to shift the data towards $e$. Then repeat until convergence.\n", "\n", "Let's draw a random sample and see how this iterative algorithm performs." ] }, { "cell_type": "code", "execution_count": 3, "id": "c777ed1a-8b0a-4a57-a556-bc222f2b843f", "metadata": {}, "outputs": [], "source": [ "from scipy.spatial.transform import Rotation as R\n", "from odftomo.texture import point_groups, grids\n", "\n", "# Utility functions to draw random crystal orientations\n", "def cast_rots_tofundamental(rots, sym_group = point_groups.trivial):\n", " min_norm = np.pi*np.ones(len(rots))\n", " min_rotvecs = np.zeros( (len(rots),3) )\n", " for index, S in enumerate(sym_group):\n", " rot_rot = rots * S\n", " norm = rot_rot.magnitude()\n", " where = norm < min_norm\n", " min_norm[where] = norm[where]\n", " min_rotvecs[where,:] = rot_rot.as_rotvec()[where,:]\n", " return R.from_rotvec(min_rotvecs)\n", "\n", "def draw_rotations(N, g_mean, sigma_deg, prolate_direction=np.array([0,0,1])):\n", " # Draw random quarternions at identity aligned with J_x\n", " sigma_rad = sigma_deg*np.pi/180\n", " random_quat = np.random.multivariate_normal(np.array([0, 0, 0, 1]),\n", " np.diag(((sigma_rad/3)**2/np.pi, (sigma_rad/3)**2/np.pi, sigma_rad**2/np.pi, 0)),\n", " size=(N),\n", " check_valid='warn',\n", " tol=1e-8)\n", " random_quat = random_quat / np.linalg.norm(random_quat, axis = 1)[:, np.newaxis]\n", " random_ori = R.from_quat(random_quat)\n", " # Rotate random sample\n", " R1 = R.from_euler('yz', [np.arccos(prolate_direction[2]), np.arctan2(prolate_direction[1], prolate_direction[0])])\n", " ori = R1 * random_ori * R1.inv() *g_mean\n", " return ori" ] }, { "cell_type": "code", "execution_count": 4, "id": "64ff4faa-190f-42da-aa7a-397829d551f4", "metadata": {}, "outputs": [], "source": [ "# Draw a random sample of orientations\n", "distr_cen = R.from_rotvec([0.8, -0.5, 0.35])\n", "distr_prolate_dir = R.from_euler('ZY', [0, 0]).apply([0, 0, 1])\n", "sigma_deg = 10\n", "g_cluster = cast_rots_tofundamental(draw_rotations(100, distr_cen, sigma_deg , distr_prolate_dir), point_groups.hexagonal)\n", "rotvecs = g_cluster.as_rotvec()" ] }, { "cell_type": "code", "execution_count": 5, "id": "39145525-6e8a-43a7-82c0-276aae5aec64", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/madsac/miniconda3/envs/odftt/lib/python3.13/site-packages/odftomo/analysis/grid_tools.py:113: RuntimeWarning: invalid value encountered in arccos\n", " dist_this = np.arccos(2*np.abs(np.einsum('ik,k->i',\n" ] } ], "source": [ "from odftomo.analysis.segmentation import blob_finder\n", "# Find mean oprientation with iterative algorithm\n", "component = blob_finder(np.ones(len(g_cluster)), 1, 180, g_cluster, point_groups.hexagonal)[0]\n", "rv = component.COM_ori.as_rotvec()" ] }, { "cell_type": "code", "execution_count": 6, "id": "e5794794-dcbe-48ac-af83-80d8c6449e08", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from odftomo import plot_tools\n", "\n", "# Build the plot\n", "plt.figure(figsize = (9,8))\n", "ax = plt.subplot(1,1,1, projection = '3d',computed_zorder=False)\n", "scatt = ax.scatter(rotvecs[:,0],rotvecs[:,1],rotvecs[:,2], s=2, alpha=1.0, c='k') # Scatter plot of sample\n", "# Elipsoid at sigma=2 level\n", "sigma_rad = sigma_deg*np.pi/180\n", "mat = R.from_euler('ZY', [0, 0]).as_matrix() \n", "distr_cov = 4 * mat @ np.diag(((sigma_rad/3)**2/np.pi, (sigma_rad/3)**2/np.pi, sigma_rad**2/np.pi)) @ mat.T\n", "ellipsoid_vecs = make_ellipsoid(distr_cen.as_rotvec(), distr_cov, 2)\n", "elips = ax.plot_wireframe(ellipsoid_vecs[0], ellipsoid_vecs[1], ellipsoid_vecs[2],\n", " rstride=10, cstride=10, alpha=1.0, zorder=1, linewidth=0.5, color='C0')\n", "# Mean rotvec\n", "rotvec_mean = np.mean(rotvecs, axis=0)\n", "mean_x = plt.plot(rotvec_mean[0], rotvec_mean[1], rotvec_mean[2], 'x', markersize=13, markeredgewidth=5, color='C1')\n", "\n", "it_x = plt.plot(rv[0], rv[1], rv[2], 'x', markersize=13, markeredgewidth=5, color='C2') # Iterative solution point\n", "\n", "plt.legend([elips, scatt, mean_x[0], it_x[0]], ['Distribution', 'Sample', 'Sample mean', 'Iterative'],)\n", "plot_tools.plot_asym_zone_outline(ax, 'hexagonal')\n", "ax.axis('scaled')\n", "ax.view_init(azim = 0, elev = 3)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "32b84b90-2b1b-48cb-8cb1-7c9730e7235a", "metadata": {}, "source": [ "A part of the orientations sample crosses the boudary of the asymmetric zone and appears in the other side of the asymmetric zone. This causes the mean in `rotvec` coordinates to give a bad estimate of the distribution centroid.\n", "\n", "The iterative method does better and finds a point inside the pointcloud.\n", "\n", "The main use of the clustering algorthm is to identify texture components (grains) in individual pixels of RBF reconstructions. This means the algorithm also needs to be able to handle mutiple components in a voxel.\n", "\n", "The simple solution we have gone with for now is to add a few extra parameters to the algorithm, which are: (1) a max radius of a texture component and (2) a minimum number of samples for a component, to avoid noisy data points to be classified as texture components.\n", "\n", "To illustrate, we draw a mixture of two Gaussians and recover the clusters:" ] }, { "cell_type": "code", "execution_count": 7, "id": "9b783f60-bab3-4900-afa9-9239582ab71b", "metadata": {}, "outputs": [], "source": [ "# Draw from a second Bingham distribution\n", "distr_cen_2 = R.from_rotvec([0.0, -0.1, -0.20])\n", "distr_prolate_dir_2 = R.from_euler('ZY', [0.5, np.pi/2]).apply([0, 0, 1])\n", "g_cluster_2 = cast_rots_tofundamental(draw_rotations(50, distr_cen_2, sigma_deg , distr_prolate_dir_2), point_groups.hexagonal)\n", "rotvecs_2 = g_cluster_2.as_rotvec()\n", "\n", "# Combine the two samples\n", "combined_rotvec = np.concatenate([rotvecs, rotvecs_2], axis=0)\n", "g_cluster_combined = R.from_rotvec(combined_rotvec)\n", "\n", "# Do the clsutering\n", "max_radius_degrees = 20\n", "min_number_points = 10\n", "components = blob_finder(np.ones(len(g_cluster_combined)), min_number_points,\n", " max_radius_degrees, g_cluster_combined, point_groups.hexagonal)\n" ] }, { "cell_type": "code", "execution_count": 8, "id": "0e602166-b0ef-430c-b6cc-374ee49d97f7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Build the plot\n", "plt.figure(figsize = (9,6))\n", "\n", "ax = plt.subplot(1,2,1, projection = '3d',computed_zorder=False)\n", "scatt = ax.scatter(combined_rotvec[:,0],combined_rotvec[:,1],combined_rotvec[:,2], s=2, alpha=1.0, c='k') # Random sample\n", "# Draw distribution outline first gaussian\n", "sigma_rad = sigma_deg*np.pi/180\n", "mat = R.from_euler('ZY', [0, 0]).as_matrix() \n", "distr_cov = 4 * mat @ np.diag(((sigma_rad/3)**2/np.pi, (sigma_rad/3)**2/np.pi, sigma_rad**2/np.pi)) @ mat.T\n", "ellipsoid_vecs = make_ellipsoid(distr_cen.as_rotvec(), distr_cov, 2)\n", "elips = ax.plot_wireframe(ellipsoid_vecs[0], ellipsoid_vecs[1], ellipsoid_vecs[2],\n", " rstride=10, cstride=10, alpha=1.0, zorder=1, linewidth=0.5, color='C0')\n", "# Draw distribution outline second gaussian\n", "sigma_rad = sigma_deg*np.pi/180\n", "mat = R.from_euler('ZY', [0.5, np.pi/2]).as_matrix() \n", "distr_cov = 4 * mat @ np.diag(((sigma_rad/3)**2/np.pi, (sigma_rad/3)**2/np.pi, sigma_rad**2/np.pi)) @ mat.T\n", "ellipsoid_vecs = make_ellipsoid(distr_cen_2.as_rotvec(), distr_cov, 2)\n", "elips2 = ax.plot_wireframe(ellipsoid_vecs[0], ellipsoid_vecs[1], ellipsoid_vecs[2],\n", " rstride=10, cstride=10, alpha=1.0, zorder=1, linewidth=0.5, color='C1')\n", "plt.legend([elips, elips2, scatt], ['Gaussian 1', 'Gaussian 2', 'Sample'],)\n", "plot_tools.plot_asym_zone_outline(ax, 'hexagonal')\n", "ax.axis('scaled')\n", "\n", "\n", "ax = plt.subplot(1,2,2, projection = '3d',computed_zorder=False)\n", "scatt = ax.scatter(combined_rotvec[:,0],combined_rotvec[:,1],combined_rotvec[:,2], s=2, alpha=1.0, c='k')\n", "handles = []\n", "for component, color in zip(components, ['C0', 'C1']):\n", " rv = component.COM_ori.as_rotvec()\n", " handle = plt.plot(rv[0], rv[1], rv[2], 'x', markersize=13, markeredgewidth=5, color=color)[0]\n", " handles.append(handle)\n", "plt.legend([*handles, scatt], ['Fitted center 1', 'Fitted center 2', 'Sample'],)\n", "plot_tools.plot_asym_zone_outline(ax, 'hexagonal')\n", "ax.axis('scaled')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f827f296-7913-4123-8333-f468c52423bc", "metadata": {}, "source": [ "## 2. Embedding methods\n", "\n", "I mainly use the embedding methods to compute the main orientation from GSH reconstructions. To explain the idea, we return to the 2D example from the introduction.\n", "\n", "The 2D square with periodic boundary conditions can be embedded in 3D on the surface of a torus. In these coordinates, the boundary conditions are naturally expressed and the mean in 3D will now lie close to the point cloud. There is new problem however; the mean no longer lies on the 2D manifold of the torus, which mean it needs to be projected onto the manifold.\n", "\n", "The figure below illustrates the process:" ] }, { "cell_type": "code", "execution_count": 9, "id": "b90df746-025b-4dc4-b874-d8ddb0794abe", "metadata": {}, "outputs": [], "source": [ "# Utility scipts with geometry of torus\n", "R = 1; r = 0.5\n", "def map_to_torus(ang1, ang2):\n", "\n", " vector = np.stack([\n", " np.sin(ang1*np.pi*2) * r,\n", " (np.cos(ang1*np.pi*2) * r + R)*np.cos(ang2*np.pi*2),\n", " (np.cos(ang1*np.pi*2) * r + R)*np.sin(ang2*np.pi*2),\n", " ], axis=0)\n", " return vector\n", "\n", "def project_to_torus(vector):\n", "\n", " ang2 = np.arctan2(vector[2], vector[1]) \n", " d = np.sqrt(vector[1]**2 + vector[2]**2)\n", " ang1 = np.arctan2(vector[0], d-R)\n", " return np.array([ang1/np.pi/2, ang2/np.pi/2])%1\n", "\n", "def tangent_vectors(ang1, ang2):\n", "\n", " tv1 = np.array([\n", " np.cos(ang1*np.pi*2) * r,\n", " -np.sin(ang1*np.pi*2)*np.cos(ang2*np.pi*2)*r,\n", " -np.sin(ang1*np.pi*2)*np.sin(ang2*np.pi*2)*r,\n", " ])\n", "\n", " tv2 = np.array([\n", " 0,\n", " -(np.cos(ang1*np.pi*2) * r + R)*np.sin(ang2*np.pi*2),\n", " (np.cos(ang1*np.pi*2) * r + R)*np.cos(ang2*np.pi*2),\n", " ])\n", " \n", " return np.stack([tv1, tv2], axis = -1)*np.pi*2" ] }, { "cell_type": "code", "execution_count": 10, "id": "3bc6de15-db2f-4452-85ed-cacfacb8167d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Draw a 2D point cloud\n", "mean_1 = np.array([0.95, 0.12])\n", "cov_1 = np.array([[0.015, 0.004], [0.004, 0.004]])\n", "cluster_1 = cluster_of_points(60, mean_1, cov_1)%1\n", "\n", "# Embed in 3D\n", "data_3d = map_to_torus(cluster_1[0], cluster_1[1])\n", "\n", "# Do statistics in 3D\n", "mean_3d = np.mean(data_3d, axis=1)\n", "cov_3d = data_3d @ data_3d.T/data_3d.shape[1] - np.outer(mean_3d,mean_3d)\n", "\n", "# Map back to 2D\n", "mean_proj = project_to_torus(mean_3d)\n", "\n", "M = tangent_vectors(*mean_proj)\n", "norms = np.diag(np.linalg.norm(M, axis = 0)**(-2))\n", "M = M @ norms\n", "cov_2d = M.T @ cov_3d @ M \n", "\n", "# Build a large plot\n", "fig = plt.figure(figsize = (9, 9))\n", "\n", "# 2D data\n", "ax1 = plt.subplot(2,2,1)\n", "scatt = ax1.scatter(*cluster_1, c='k', s=5 , alpha=1)\n", "vecs = make_ellipse(mean_1, cov_1, 1)\n", "elips = plt.plot(mean_1[0], mean_1[1], 'x', markersize=13, markeredgewidth=5, color='C0')\n", "ax1.plot(vecs[0], vecs[1], color = 'C0')\n", "vecs = make_ellipse(mean_1, cov_1, 2)\n", "ax1.plot(vecs[0], vecs[1], '--',color = 'C0')\n", "vecs = make_ellipse(mean_1-np.array([1,0]), cov_1, 1)\n", "ax1.plot(vecs[0], vecs[1], color = 'C0')\n", "vecs = make_ellipse(mean_1-np.array([1,0]), cov_1, 2)\n", "ax1.plot(vecs[0], vecs[1], '--',color = 'C0')\n", "plot_box(ax1)\n", "mean = np.mean(cluster_1, axis=1)\n", "mean_x = plt.plot(mean[0], mean[1], 'x', markersize=13, markeredgewidth=5, color='C1')\n", "plt.legend([elips[0], scatt, mean_x[0]], ['Distribution centroid', 'Sample', 'Sample mean'],)\n", "plt.title('Original distribution')\n", "\n", "# Data on torus\n", "ax = plt.subplot(2,2,2, projection='3d', computed_zorder=False)\n", "plt.title('Embedded data')\n", "ax.scatter(data_3d[0], data_3d[1], data_3d[2], alpha=1, color='k')\n", "# Make the torus outline\n", "wireframe_1 = np.linspace(0, 1, 160)\n", "wireframe_2 = np.linspace(0, 1, 200)\n", "wireframe_1, wireframe_2 = np.meshgrid(wireframe_1, wireframe_2)\n", "wireframe_3d = map_to_torus(wireframe_1, wireframe_2)\n", "ax.plot_wireframe(wireframe_3d[0], wireframe_3d[1], wireframe_3d[2], color = [0.4,0.4,0.4],\n", " rstride=20, cstride=10,zorder=0, linewidth = 0.5)\n", "# PLot the distribution on the torus\n", "centroid_3d = map_to_torus(*mean_1)\n", "elips = plt.plot(*centroid_3d, 'x', markersize=13, markeredgewidth=5, color='C0')\n", "vecs_3d = map_to_torus(*make_ellipse(mean_1, cov_1, 1))\n", "ax.plot(vecs_3d[0], vecs_3d[1], vecs_3d[2], '-', color = 'C0', linewidth = 2)\n", "vecs_3d = map_to_torus(*make_ellipse(mean_1, cov_1, 2))\n", "ax.plot(vecs_3d[0], vecs_3d[1], vecs_3d[2], '--', color = 'C0', linewidth = 2)\n", "ax.axis('scaled')\n", "ax.view_init(azim = 0, elev = 45+90)\n", "\n", "# Statistics in 3D\n", "ax = plt.subplot(2,2,3, projection='3d')\n", "ax.scatter(data_3d[0], data_3d[1], data_3d[2], alpha=0.3, color='k', s = 2)\n", "# Torus outline\n", "wireframe_1 = np.linspace(0, 1, 160)\n", "wireframe_2 = np.linspace(0, 0.25, 50)\n", "wireframe_1, wireframe_2 = np.meshgrid(wireframe_1, wireframe_2)\n", "wireframe_3d = map_to_torus(wireframe_1, wireframe_2)\n", "ax.plot_wireframe(wireframe_3d[0], wireframe_3d[1], wireframe_3d[2], color = [0.4,0.4,0.4],\n", " rstride=20, cstride=10,zorder=0, linewidth = 0.5)\n", "# Mean in 3D\n", "mean_embedded_dot = plt.plot(*mean_3d, '.', markersize=13, markeredgewidth=5, color='C2')\n", "plt.plot(*np.stack([mean_proj, mean_proj], axis=1) , '--', color='C2')\n", "mean_proj_emb = map_to_torus(*mean_proj)\n", "mean_projected_x = plt.plot(*mean_proj_emb, 'x', markersize=13, markeredgewidth=5, color='C2')\n", "# Coordinate lines of projected mean to help the eye\n", "wireframe_1 = np.linspace(0, 1, 160)\n", "wireframe_2 = np.linspace(0, 0.25, 50)\n", "vecs_3d = map_to_torus(wireframe_1, mean_proj[1]*np.ones(len(wireframe_1)))\n", "ax.plot(vecs_3d[0], vecs_3d[1], vecs_3d[2], '--', color = 'C2', linewidth = 1)\n", "vecs_3d = map_to_torus(mean_proj[0]*np.ones(len(wireframe_2)), wireframe_2)\n", "ax.plot(vecs_3d[0], vecs_3d[1], vecs_3d[2], '--', color = 'C2', linewidth = 1)\n", "\n", "ax.view_init(azim = 0, elev = 45+90)\n", "ax.set_ylim(0, 1.5)\n", "ax.set_zlim(0, 1.5)\n", "plt.legend([mean_embedded_dot[0], mean_projected_x[0]], ['Embedded mean', 'Embedded mean projected'],loc='lower center')\n", "\n", "# Projected onto 2D\n", "ax1 = plt.subplot(2,2,4)\n", "scatt = ax1.scatter(*cluster_1, c='k', s=5 , alpha=1)\n", "vecs = make_ellipse(mean_proj, cov_2d, 1)\n", "elips = plt.plot(mean_proj[0], mean_proj[1], 'x', markersize=13, markeredgewidth=5, color='C2')\n", "ax1.plot(vecs[0], vecs[1], color = 'C2')\n", "vecs = make_ellipse(mean_proj, cov_2d, 2)\n", "ax1.plot(vecs[0], vecs[1], '--',color = 'C2')\n", "vecs = make_ellipse(mean_proj-np.array([1,0]), cov_2d, 1)\n", "ax1.plot(vecs[0], vecs[1], color = 'C2')\n", "vecs = make_ellipse(mean_proj-np.array([1,0]), cov_2d, 2)\n", "ax1.plot(vecs[0], vecs[1], '--',color = 'C2')\n", "plot_box(ax1)\n", "plt.title('Fitted distribution')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "0be494c1-a2a8-4c45-a203-d9c22a5cb7ef", "metadata": {}, "source": [ "**Figure caption:** *Illustration of embedding approach using toy-problem. a) Data is sampled in the 2D domain with periodic boudary conditions leading to problems with using the mean as a centroid estimate. b) By embedidng the data on a torus, the periodic boudary conditions disappear. c) The 3D mean can be computed and projected onto the torus, yealding a good estimate of the centroid position. d) The 3D covariance can also be projected into the 2D space giving an estimate of the original covariance of the distribution.*\n", "\n", "The main objective now is to find some higher-dimensional embedding where the boundary conditions are naturally expressed. Our suggestion is to use coefficients of low-order symmetrized spherical surface harmonics. \n", "\n", "Spherical harmonics are equivalent to certain tensors, which have previously been used for this purpose [[Arnold et al.](https://doi.org/10.1016/j.jmva.2017.10.007), [Hielscher and Lippert](https://doi.org/10.1016/j.jmva.2021.104764)] but the basis of real spherical harmonics coefficients is convenient because it is a conventional, low dimensional basis for the tensor spaces that does not contain the rotationally invariant subspaces and separates the different orders (irreducible representations) completely.\n", "\n", "Furthermore, it is very easy to generate the embeddings and tangent vectors using Wigner's matrices $\\mathrm{D}^\\ell(g)\\in \\mathbb{R}^{(2\\ell+1)\\times(2\\ell+1)}$ and the generators of the invariant representations $J^\\ell_{\\alpha}\\in \\mathbb{R}^{(2\\ell+1)\\times(2\\ell+1)}$ for $\\alpha \\in {x,y,z}$. The embeddings themselves are of dimension $2\\ell+1$.\n", "\n", "The goal is to find some coefficient vector $\\mathbf{h}$ which is symmetric under the lattice symmetry point group, $S$:\n", "\n", "$$\n", "\\mathrm{D}^\\ell(s)\\mathbf{h} = \\mathbf{h}\\text{ for all }s\\in S\n", "$$\n", "\n", "Then the embedded orientations are generated simply by\n", "\n", "$$\n", "\\mathbf{h}(g) = \\mathrm{D}^\\ell(g)\\mathbf{h}\n", "$$\n", "\n", "The embedding approach then implies a distance function between orientations:\n", "\n", "$$\n", "d(g_1, g_1) = \\left|\\left|\\mathrm{D}^\\ell(g_1)\\mathbf{h}-\\mathrm{D}^\\ell(g_2)\\mathbf{h}\\right|\\right|_2\n", "$$\n", "\n", "This construction along with the unitarity property of the Wigner matrices ensures a number of symmetry properties but it does not ensure that rotations about different crystal axis by the same angle has the same norm. The best we can do is to pick a coefficient vector $\\mathbf{h}$ such that the implied norm is locally isometric, that is that all small rotations have the same norm.\n", "\n", "For the cubic point group, the first harmonic which has the apropriate symmetry is at order $\\ell = 4$ and leads to a locally isometric norm. It is equivalent to the embdding used in the work cited above, but in this basis it is 9-dimensional instead of 15 and 14 in the bases used by Arnold and Hielscher respectively.\n", "\n", "For hexagonal symmetry the first harmonic is at order $\\ell=6$ but at this order there is an extra degree of freedom for its construction. Any linear combination of $Y_6^0$ and $Y_6^6$, except with $h_6=0$, has the right symmetry. Numerically we find that there is only one linear combination which achieves local isometry (apart for arbitrary sign and normalization):" ] }, { "cell_type": "code", "execution_count": 11, "id": "1b38b0b9-426a-49f3-b8cf-376aecc832c2", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "<>:22: SyntaxWarning: invalid escape sequence '\\m'\n", "<>:22: SyntaxWarning: invalid escape sequence '\\m'\n", "<>:22: SyntaxWarning: invalid escape sequence '\\m'\n", "<>:22: SyntaxWarning: invalid escape sequence '\\m'\n", "/tmp/ipykernel_47031/161275513.py:22: SyntaxWarning: invalid escape sequence '\\m'\n", " plt.legend([r'$||J_x\\mathbf{h}||$', '$||J_y\\mathbf{h}||$', '$||J_z\\mathbf{h}||$'])\n", "/tmp/ipykernel_47031/161275513.py:22: SyntaxWarning: invalid escape sequence '\\m'\n", " plt.legend([r'$||J_x\\mathbf{h}||$', '$||J_y\\mathbf{h}||$', '$||J_z\\mathbf{h}||$'])\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "INFO:Setting the number of threads to 8. If your physical cores are fewer than this number, you may want to use numba.set_num_threads(n), and os.environ[\"OPENBLAS_NUM_THREADS\"] = f\"{n}\" to set the number of threads to the number of physical cores n.\n", "INFO:Setting numba log level to WARNING.\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from odftomo.spharm.spharm_tools import make_generators\n", "\n", "ell = 6\n", "J_alpha_list = make_generators(ell)\n", "h_0_list = np.linspace(0,1,100)\n", "v1 = []; v2 = []; v3 = []\n", "for h_0 in h_0_list:\n", " h_6 = np.sqrt(1-h_0**2)\n", " h = np.array([0,0,0,0,0,0,h_0,0,0,0,0,0,h_6])\n", " tangent_vectors = np.stack([J_alpha @ h for J_alpha in J_alpha_list])\n", " n= np.linalg.norm(tangent_vectors, axis = 1)\n", " v1.append(n[0])\n", " v2.append(n[1])\n", " v3.append(n[2])\n", "\n", "plt.plot(h_0_list, v1)\n", "plt.plot(h_0_list, v2)\n", "plt.plot(h_0_list, v3)\n", "\n", "plt.xlabel(r'$h_0 / \\sqrt{h_0^2 + h_6^2}$')\n", "plt.ylabel(r'$\\mathrm{J}_\\alpha \\mathbf{h}$')\n", "plt.legend([r'$||J_x\\mathbf{h}||$', '$||J_y\\mathbf{h}||$', '$||J_z\\mathbf{h}||$'])\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "645306c1-6ead-4ec9-ab1d-c4790db11fde", "metadata": {}, "source": [ "In the `mumott` phase and normalization convention this harmonic has the coefficients $h_0 = \\sqrt{11/18}$ and $h_6 = \\sqrt{7/18}$.\n", "\n", "Unfortunately, for all the other point groups, it turns out to be more difficult to find appropriate coefficient vectors. For example trying to do the same procedure we did for hexagonal with tetragonal symmetry, we would recover the cubic symmetric harmonic which cannot be used as it has too high symmetry.\n", "\n", "Hielscher and Lippert overcomes this issue by constructing embeddings that live in product spaces of several tensor space, and such an approach would probably work (I could just copy their solutions for example) but I have not gone through implementing it as I am mainly interested in cubic and hexagonal (metal) samples anyways.\n", "\n", "The two embeddings and the implied norms of rotations about special axes are plotted below:" ] }, { "cell_type": "code", "execution_count": 12, "id": "ddeb1cef-b71e-4504-8d1b-a636dc41c9ff", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/madsac/miniconda3/envs/odftt/lib/python3.13/site-packages/IPython/core/interactiveshell.py:3748: UserWarning: Gimbal lock detected. Setting third angle to zero since it is not possible to uniquely determine all angles.\n", " exec(code_obj, self.user_global_ns, self.user_ns)\n" ] }, { "data": { "image/png": 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Y0aEtS/+6tTYhxQu0fXoIFW5xPHK9smOHUN+eZqE/X9IGLBAewMhyE1jAizmVd44/0RgtMTIyQmdnJ/8BbSgyeSgBewLDw8N0dHRsbPNxWL9+PbNnz+aGG27gFa94xaT3b1uD3M/ne71jxJhJWF1eza8e/hV/evxPVB31Brc73c1bd38r73jRO5jbrqUOazZhzX1w/+/gwT9DeW2wLtMFLzoe9nw9LDoSrOwWPpMY2wo29W/sNqs038ZK/pvryVEHsmSphNaXNcU5SqKjhNnxVGd9ue55mlOPE1gxxI4RtWiMEBDmdgI/tOst6zaNdgIFe1RZNahBW13ZK8acgCRPRJjNKFGWu5wirCILxNfsMJ4oy3492jyE1WbdmqEVdSl25AB1PYUcR9VlCAiyjqjq/DCr+DhL+SInMpeYNGwq0gZkpsDdMtbkBUUDDg+r0WR398byF8aIEWNbwdPDT3PBAxdw2VOX4TTVj9ceXXvwvr3ex3GLjsMytKDx8nq4/xK497fQ91DQni7AXm+El7wFFv6XSn0WI8YWwjZJmj/I5QwxBCQpkfdJMBDy1ArEw6xsGSYOBi4m/fRSYIgCRfrpxfGU5kWVZwCopyxS87zUN628zFEPMwT5mnVynEKRT/mgzQuhrQF1L7DLARzIaKRlzNHIMYSr+7UytuoBgPq8w3jVWb6/k9ZkOZJqru4t5ytlhrLqQP3j8tGNJ8u65zlHySfO0lbG4PP8hoPYi48Tq5ObAtMEcwpIs+mR5pGRkVB7KpUilYqmXwmj0Whw2mmnccQRR7D33ntPfudixIgxo/D08NP87P6fcfmKy2l4BSkO3eFQTn7JyRw277DAq9xowFPXwd2/hEcuDwqLGCl48etg33fCrq/etgqFxNiqsE2R5gcY4pMsJ00NyJD1MxuPR24CIl1gCFe7LCoYMFi2SbEuq9jugvXKR9E0ICEZMjYUCJjy2iGwaIjKLMR1GAgy6yjUtDaPMJPTlmnhWxVftE6YdaVZJ8o6xxHCrKvO+rQVWZb+e231VPAHTZRlXW2WwUcxUkq71YCmRJ4KwSu3BHADK7mNP3M+byS7bT3Ck442A9qmgDS3eaau+fPDvsGvfOUrnH322Rvc99RTT+XBBx/k5ptvnvyOxYgRY8ZgdXk1P73vp/z1yb/6ZPmVO72SD+77QfadtW+wYXUI7v0N3HEBDD4VtM87EA48EV7yZmXFiBFjmrHNMI5v8TB/Yy0pklTJktHsGELGslT8+RJ5dmB16BguJkW6fGVaBQP2ejkehrBJ+RYNF4OhWSrAreuJahDY18qi0e4tiyjX7rUPE06DIYRZCK0EBaYISHON4LX4hlJoCKk2CCvderBflCzryjMEZLmO8iprxBgIEeimqOYaikYBm1SI9Opqsk6kS+RCy7o9I0vFP4asHwText/4Ia9m95aVVmLAFCvNwMqVK0P+r42pzB/72Mf4xz/+wY033shOO+00+R2LESPGtKNYK3L+A+dzySOXMOapxUfudCQf3f+j7NWzV7Bh/+Pw7/+F+y6BMe83O9WhFOWDTlKFRmLEmEHYJkjz8SxniBqQoE6K1DipVpGtEnnf2+xg+LaMPCVfTR6gx/cvz2clA/T4mTSyVPx1Qp7rWNTnVUlJBcBWKrMozO0EBU6GCavLOsSaUUOR3xyB2izeY4ewp9QhfDfFnqGXwE5FtjEZT5R1a4aozcKJolk0tLbEKDS9Y0h6OUGWyoQZM2S5opXgKFKgSjigQ8hyJVKq44Ms54vsxzGEgw1jKLQZ0DYFxazalGhER0fHJgWmNZtNPv7xj3PppZdy/fXXs2jRosnvVIwYMaYVtmvz20d+y8/u+xmlMSU+HTL3ED5x4CfYb9Z+aqNmU2XAuPVH8Ni/gp1n7wWHfBD2eQekci2OHiPG9GOrJs1VXI7kLho0AAsLW1unSFeWKhXNqpGn5NsD9OC0eawJZcewsRjQfLh1LJ9wFyhSx2IdsylQZF12NvlsCeZ7qvMAASEWlXmYgADrZFkIs05IIciVLOQ5as/Qia3AJSDL+rhBCLPM67aMKGmWY3a2aK8xviJgPUgvt657vOLrRq51WF1WfvPVkXRyst70RgUy2In6oqtkSQBn8QjLGeYsXjzu+7d7pICpqADb2LzNTz31VH7zm9/w17/+lXw+z9q1KgK+s7OTTGYqahbGiBFjS6HZbHLdyus4747zeK78HAAv6noRpx90OofPO1x5lhsNVXzk5u/Dc3cEO+9xHBx2qgrqS0zBa7EYMSYRW23Kuf9Q4f/xkP/bncIOkWZdbc5QIUsVF4M8JTJU/OwZojLnvXnA304U5TqWn4qu7lk0JEDQJuXvV8eiq6JYcOoplNIspFPsGbrKDIGnWaY6edbzOqsvCEgzTEyYIexl1kmzbs9oJ2zR6GS8BUPaRUycF2kHhuYHpKeOV/mPAkW6qGrKsFgspKiJbtsI7Bc5b6qIc5VsZLuM317XOt8EdqObX7EfMbT0OTtBxxSQ5pEGdD636SnnEhP8GF544YW8//3vn+TebXuIU87FmKlYMbyCb93+LW5dfSsAvZlePnHAJ3jjrm/ESBqKLD/8F7jhO7D+P2onIwX7vxsO+xj07jZ9nY8Rw8M2nXLufPr4LmuAFFbEilElQ4aqT7SyGmGGsE1Dt2UIkctTYh6rcTDop4c6KVwMbI+gLeRpbCz6mOP7dQteHmjJqlHJZrDmVUmkCYID9bRuusrcyfhAO50wdxL2NEu7Tp5bQSfNQqb1NHLt2nYbUpuj4nE9aJMsGdlK1c+S0efn0xtvxVinrYsG/bWyaejbCRkPuhH2zo5h8TBljuQ+boiJcwCTGaE0b6Vj8xgxYkyAqlPl5/f/nAsfuhCn4dCWbOOkl5zEB/f5INm2rCLLD/7JI8uPqJ1SHfDSU+DQj0B+zoa/IEaMGYitjjR/jJX8i2HAxMDF9ohzHYs6FiZuyGbhYPgkuaLla1ae5i6/Qp2uFkuquTzl0LHqWPR5lowCxRBh1rNqzB/sU1UDoxaNTloH8UlgIChS3Edra4YowZIZw2XjxNnQvjOqMhOZtmrT++iRZLFjWLWg2l9AerPYHsHVA/ikyqKQ4gwV30Ij90dIteGdVNm3ZfSG2qtkSVEPEWch1YPY7M893Mw+5La+x3vykST8BiJGjBgxXiBuXnUzX//311lVXgXAy3d8OZ8/5PMs6FigPMuP/guu/Rqse1DtkOqEwz4Khy6Jy1nH2KqxVbGKT/Ac/6AMmD451onzRKiQCfmaXT/lWWEcKbaoh1Tn+az0/c05SqxjDnVSrGMOKeo+QVzI0/53re7ugW7Ycc1AOOBPcjR3oirpidqs52buJLgrowRFUcSasbmEGe+7dYuGXhUw2qYHAkar/3lI1GG0W8mXogTbGoG1sH2bxTrCaTWyVH2CLR5l2VdItotJiVzL9gqZ0HfJ9Tdxfa96FYODeJhb2JPeKSkivRUhzdSQ5hdQ2CRGjBhbJwZrg3zr9m/xzxX/BGBu+1zOPORMjpp/lLJgPbMcrjoLnrtd7ZDqUH7lmCzH2Eaw1ZDmxazmasqoTL1KKTYjv9yuR6Z1iJqpfM2VkE1DDw6sY4XsGqAI2Tpm+2W29ZRzNpbvm66Q9YPZ5rPS+94MjkeWzWGVWSIhKW1XErZmCHE2CRPoDsLWDN0LvSnZM6I5mqG1RSOqMuuWjEiRE6dTVfoTldfA9QmyXJciBX+97bnNBUMUNDJc9Ul1yvOju96bAdknasOwI8vq1I2W64/gMR7iRZhbz2M++TCIleYYMWK8IDSbTS5fcTnfuv1bFOtFkokk793zvZy6/6nKitH/OFx9NjzyD7WDmYFDPwxHfBKycdXPGNsOtgo2cSRP85THCo0J5FWbFAauT7IsbCpkNDJm+jYAPXuG66Wes6j7AYHqeIoUD9CrrBfMIUvFJ3PzWekrzrJPlQx9zCZPSRHpDs+u4fSR8IL5mp0e7Z9PQJ5FYe4E1nknZKDIshBmIdAO4zNp6IjeUVGYoxYNyZyRi7QLhCx3BP0GKHVkvM3rfs5lueaiIEf9ykp5DudfrmvEuUKGOpa/TiwctkbMpd2iHsrhDOre6m8M9PndeYIV23NWDf2Nw2RiOw5yv/HGGznvvPO46667WLNmDZdeeiknnHDChNtff/31HHXUUePa16xZw9y5c6ewpzFivHD0V/v56vKvct3K6wCVFeOcI87hJT0vgcogXHW2KkrSdCGRhAPfB688E/Lxsx1j28OMJ82H8zQrN+hDCGB7aecqXvifWDbcCEnOUAkpymLLGKDHJ8XzWE1dy4xhaynnhCxLjmfb8zrPZ6X/3bJfiTyru13ohnmDA+PJMwT+5Q4CgjNIoDqLrzlKmHsYT5r1nM/RrBnRioA6mZaAwAhZlr6WOi3/fCAgyNFgP1AkWa6jjRWq6lePKM/6MYQkp7D9e2J7gZi6V9rQfOsSqBmFrj4v5FGe5kXjttkuIG8cYkwaRkdH2W+//Tj55JN5y1vessn7Pfroo6Go7NmzW1QEihFjBuGKp6/g6//+OsV6ETNpsmTfJZy8z8m0NRNw+8/hum+oan6gUscdcw7M2k7/1sbYLjCjf07fxaqWhNn1FGcHAwfDJ1kmbohYpbA1wpwjS5USeRwMsl4ysyBFWpdPipXybHtJ7AJlWQhxgSLrmD2OLK9mnk+kZVuxa5TIsbob8p0l8sM2ieEIcV5NQJJ7UORWDwSM5mqeyNMspFcURp04pyPzuudZ9tUsHyGybAS5lXVECfKQR4AHvOA9uZ4T7aOsGCn/PuiDGd2/LNs7EYKs328Yn2VDHdNgPk+wku0wtdFU2TO242QYxx13HMcdd9xm7zd79mwKhcLkdyhGjEnGiD3CN/79DS5fcTkAL+5+MV8/4uu8qPtFyrd82aeg7yG18ey94LXnwi6vnL4Ox4ixhTBjSfMpPMdyL+hPh5AqmRo4VMhi4ISqAYo6maIesmNIdboiBbJU6aEfF9NvF5I9QI+vFvfTg4Xt526ukPHzNgs5BpVSTebns5IqGVazg5fkrkzeLVExMlS6M8zRJOFmJyTEz6x/9GIiNYIy3A6bnnJOJ83SLpAsGnqxEwIrRqU96ZNldf0C73KFrL8sBFm/fjrhbaU86+RWrllUga766nSYUItFJ7DkWOPItNvi0d6ZJ3iKRRjbk8k3zdT8L9+0lz8xNOy///7U63X23ntvzj77bI444ogJt63X69TrQXDzyMjIhNvGiDGZuHPtnXzh5i+wZnQNyUSSxfssZsm+S2irFuHSj8B9v1EbZrrgqC/CQR8AY8ZSiRgxJhUz8kl/A0/xgOdFNnBaEiBBlERDECRYIYOL4fuVIVBKVZvhK506YauT8ivQCWET68YAPRi4PqGzsMcFAVbI+EU91jCPMiVMVlI1MuQoUSaP222Sd9W3J4Qki6+5j4DoisqsFx4Rq8aGMmjoOZrlt1fsGa1sGh6a7UpdLhl5T8d3KJP3FWTxEw9R0Eis619XfV73H/dryrOsF4It6eN0cq0GQu64bZU1wwzdLz1zhqDVc9MAFvEU97OIwsx89CcfejBojGnBDjvswE9/+lMOPvhg6vU6F1xwAa985Su57bbbOPDAA1vuc+6553LOOeds4Z7G2J7hNBx+et9POf/+82nSZKfcTnzrFd9iv9594Z5fwZVfhlpRbXzgSfDqr0B7zwaPGSPGtoYZVxHwRJ7iVqokCF7Fb4g0q/WG/3oeAsIkU/XyPxwYaOD69gyxaqgsGqmQbSPvZc2QioHiVw4ybpS99oyvRJfJ+1k25rE65HGex2oyVH2Vdg595EdUFg9zVKVyy442FJGuEyjOQo5bEWYJTh70pjphFqVZ2qKVAL12pz0I8lPlYIIiI2JpAbyzzYfU+6JGoPXMF+Ihl3ldXS7SBYTVZZVWTrzKQbsMUFpZMDb2bLRCGw73sCud23A6Or+60THQMQWnOTIGnVdtekXAbRWJRGKjgYCtcOSRR7JgwQJ+9atftVzfSmmeP3/+dn+9Y0wN1pTX8LmbPsc9ffcA8KZd38SZh55Je3EV/OM0eOYWteHcfeD1P4CdDp62vsaIMRXYKisC/olBbqOMSTgDQivVUIhyqyAweW0v02hgoBDlIgUyni1DUqUZni8645FoIcxyDCHBcqw+ZlNFKch9zKEaCQLUS0CXyPuq9GzW+Srqug7oZYBMquITZqm2l5IS21HS3MqeIeRZL58dJc1iwdAKl1Tak1RTgc1EL1Ut/Zap7k9ulS1DBgNFukL3JlrZT+6pnllDvjd4e6CrywYuxrgUdDqig6coxNbRAA7icZ5grwm33WYwVUrzjBpqb3045JBDuPnmmydcn0qlSKUmftZjxJgsXL/yer548xcZsUfIteU467CzOG7BMXDrD+H6b4FrQ1sWjvqCquQXWzFibMeYMU9/H2N8hSdJaGnGormYWxFnfSqE18Cl2shgJW2qDUXErKTtBwyCInEqbVoQADhEgV4G6KeHLFlsUgzQw2z6fDVZBQAGdo55rCZHySfLQrANXNYxxydx81gdItNCykEIpklPqh/XrEInpOo2qVEY6bZItdtYXlGTxCibZ80w8a0YTQMS3uW001BPWVSMgCDr10ba9GUpQS6QeRPXJ9BmxKoRJb4pjyTrKrRMJVMGjA/4E7QaJE20Pvr2IYwmr+MxLmePDR5vq0cKpkRQn4rS3NsR7r33XnbYYYfp7kaM7RhjjTF+dPePuPChCwHYu2dvvnPkd5g/OgwXvBrW3Ks23O0YOP670LXz9HU2RowZghlBmm0avI47SNDmpxkDQtkvJoJPuBoWRtL15wEqtiKEpuliNyxKybzvb9bLMOvWgaj6DIGfOUOFAXp9slsh6wf/hT+ZCRXmeaz2CeMa8Am5/30G9DCAla2TTVVJ1QPCXOzOYHS6oTYIiDAoYgzganfW8Pii7ZFnIcs2qXHqbom8b82otCDNus9YXx9N6xe9roqUB8pZ9Hv14wnkOKLq+5k0vPsr91vIsa40RxXnaNEbgCep8nYe4Q/bch7nWGmedJTLZZ544gl/ecWKFdx77710d3ezYMECzjzzTFatWsXFF18MwA9+8AMWLVrES17yEmq1GhdccAHXXnstV1555XSdQoztHOsr6/n0DZ/m7r67AXjvnu/ljP0/Qdu/lyp1uTEG6U547bdhv/8Hie04MXuMGBpmBGk+iptBSx0XheOrlU6okIU/bWilsG0L03Sp1zzF2nRwHAPTdKnYGVzLoG5b2JbK6ayTcpsUJpWQ+iweZylikvdKaYtPeR2zPT9z2cuUkQ+lmSuRDynMksFDluU89DYHgy6K2EYKK1uHrBpAGK4izEPZTsysG1ZSXU2RNwzfJ+2aUGm3cA3Dc3YHKdx0D7Fuzaj68xtWmoX4tlKfJ5rfkKps4IQCLEWdtkn5RFmH2zAwkp51Q5uPEmZJT2iGlGcXSHA/db7Mk3yNXccdf5vAVOVpbkzBMbcS3HnnnaFiJWeccQYAJ510EhdddBFr1qzh2Wef9dfbts2nPvUpVq1aRTabZd999+Xqq69uWfAkRoypxl3r7uLTN3ya/mo/7W3tfP2Ir3N0bhFc/AZ47g610YuOh9d/Ly5QEiNGBNMeCPgGbmXAVxItnzTr5ZB1Ih0toyyECcBxPBLthFmCYTrYtRRWuj5umrWqvrqtAgDVVAjjHNaFgv/C8xk/nVyJHHnKvr8571k2Mh4ZnseaEIGewzrylBii4Lf1MuCr3ClsMlQ8I4gqCWLgYlH3hg0TE2a5LqAIqRBUnTRHA+2iad90P7ZOmgUlcn4wnywLpD2qOuuIkujoPQU1ANoUmKanLkeU51b2DAkEhUDBhiZfYB7vYqdN+r6tAX5Qw7uhY9Mu4+Yd34bO38SBgFsKmxqkEiPGRGg2m/zmkd/w33f8N07TYbfCbnz/ld9j4WPXwhVfBKcKqQ447juxuhxju8NWEQh4Hv+hxAgSnaYrvzaBD1ZSiukpzqIqcyvC7DoGhulSLWdD09JQnlTGpjSUx84EJNzOWdRrKarpDJlklWKlgJF1fA9zkG4uQ4UMfcxhHqupkvVsDYpQRwMCZb2uOEs5b93XbHo5h3XCLF7hPKWJSbOh+74D0uwQVnXrpHzyqOdArpINZcOQ9TpprpLxt5F9qxMozbofWdk5cqH1OvR7KXYau9Y6AMowIwqyqc5F3iRE1WZJNyjQCXO07bs8zUF0skekf1s9psqesR0rzTFibG2ou3W+tvxr/PXJvwJw3KLjOHu/j5O9/LPwqCpgwqIj4YT/hc5tRzyIEWOyMW2k+VpWcS3/IeEVIBG/a4YqVTIhe4QQZ5VtIci57KupLQizXbMwTJdKKYPZ5lKvWphtijgnDYdqMU8ypQhVtZgnUygxtL5ANl9laH2Bel71p2gXyFrK6iAqcz+94wqaiIVDMmzkKY1TaPuYzWz6QiSyl34/BZ2LQYEiWSqUyPsKs6i+KepkqPrE12yhqOoKs25lCdZZvuKsl6aW61/V/NgBac5hekfTLRpRJXqied0CovenUsl69y2sNterWg7mNu3cvEEQKALtOmZL4mwlg7SCknpQ+mFp+b8Bfxng/dzBP/kvOltYhLZapGFKTicOBIwRY6vA+sp6PnndJ3mg/wGSiSRnHHQG70vNJ/HzV0N5HRgWHH0OHLoEkvF/7BgxNoRpIc02DudxGwkgQ8VXLgV6kYuUV4REZV6oT5xVIUKYISBfdi1F0nCwy1kwXRqj3nS4nWrdI4seiS73F3wybdcsMjmHgcEeKrkMWavKQKOHTDIg0fNY7ds5xL6xmnn+fFRhVlkzyt6yIso99PslvuW8CxTJUMH2bBkp6gxR8DNzGDgbJc0AWareNbf8AYioy+MrKGZCAXslcqF7M1H2jGhwYCuSLCqyfq8qpaBNR8O7J5gutmuSNILMF86Ygdnm4joGVtoeR5xTlh0ix+rcglzdKU15BjVIyHjXCBK8g2u5gte27NdWiSRTU0Y7/m2NEWPG46H+h/jEtZ+gr9pHh9XBeS//Noc/ei3c9EmgCbNeDG+9QOVfjhEjxkYxLaT5Y/yTdqp+IFlGU5VT1MdlURB1OVpmWawZQsKELIMiV+ARMI0oU06B2YSyGZx9zYS0Q2O43Z+W6ymsXIXhtb3+tJqrMLu7T6WxSyoiuo7Zvn9ZAgLFxgHh0tqB4jyH2azzibKunst2yrqRGleYRQiz+IZ18hy+Zoo0FimEylAHDmkLF4MqGepeFo2qR8hBBfmVyPvHFrW7tbrc2n4h6f4AquXwPbUjyyHUTHWPHEPdO28KkDQcnzjbNcsnzgCpdN1XmnVrhpxDlDADPmGWdTbwPW7nDA6ZuH9bE6bKnjFxOuwYMWLMAFzx9BV88eYvUnfr7NK5Cz8+5IvM/+eXYeW/1QYHvR+OPResDfwtjhEjRghbnDT/jYewWQXkybYgzgJRmydSlgWBNSPYLkSYYTxRLie8KR5hBtaY0AX0m5BTU7vWAWkHu78Dq3cEu5ZiYKSHajlLJlch31Fi5br59M4ZIE+JAXoxvfzMgtn0efmd54QyZGSo4GKGguXEmpHxMnhIYRXxMlc1ZTmqNoeuCQZ177jibdaDAXWId1nItEDPotGqSMtEfmZ/fiQfui/jSHJtgkevhro3jnePnPEEOpmqjyPOAPVailS6jt2wyCSrvsIs10xsNDokc4n+/F3NKIczl5exoHUftybEpDlGjO0KzWaT8+8/nx/f+2MAXr7jy/nOTq8j96t3QnVQBfu94Yew91umuacxYmx92KKk2cbhz9xEAkKeX4FYNSSbhRQ40QMAFfkxx6UVg4Asg0aYhZzVvEjgMuqsS6iiD2Xw384PeW39QC+QdtT+ZbDpgFyd6touNe0v+PaP/nU9VPJZDNNhnRUQ5gpZ+pjtVQtU06BdbdfDABBkmpCAvayXRUO8zCoFm6OpzUKgx1c40T3fQpRFZRZyqHuao5aKaJ5myT2tLl+YJOtkWjzKMF5ZHkeSy9q8vkoqHZr6VCPQaYdGPeUT51TGDnmdHccga1V9pVkGXy4GGS/4MuvfcIXogA0SfJN/87dtgTSngNZxlTFixNjGMOaOcfbys/nbk38D4L0vfg+fHnUwLnkv0IQd9oO3XwTdu0xrP2PE2FqxRUnz2fyadi2dW1AkJHiNb2kmjCpZPwBQ5WhWxE4CB62kjSNFMjSluSGVPXzCjDpTKQhSRvk8hUCDKk+dAorecj+QNtU+aW+5nPJU6BTkVKa+xmiW3NwBKqUM+S7vfOwMFSsbSl2Xo0SZPC5myONseZ5tCf4TVdnG8j24MrhQgwo3pDRDuHCHKPMSBChKsxBpsWbowYCixgo5lrR04smW7ym3SEMXhe9TrlmK7Mr1VhchWJZ7YQBj2gFcra0NRZzTBAS6FibO9aoVIs6mGQwopDiOWFVcTLJUfAIttho9NaDAYowz+RPn8taW57nVYKryNE9UjTJGjBjTghF7hNOvO53b196OkTD4wgGf5B33/g2evFZtcPDJyo7Rlp7ejsaIsRVji5Hma7gdl2fAS7fWijinsKl4XcpS9ZazvqcXxpfOBpV6zDC9ADhRm4VEy497LTIdJbBoyCvsYQKSVvSmaeA5lPLc7+2fA9YmaMzNQjlBeW0PyXble2ZuP9VylnW52eStMtVGhkoySz+99NLPAD1+/9U16MWliIsRsmrkKIVyNIuqm6UyjjS3gk6a9YIfQTic5Vs2RG2W4YquMLdSnSEI7KuWs4EdZlRTl8sRwtzqHgjkKYwqzK53/WtaexpFnHN1Gq6Jla77QYGA72fW7Rj6+bsY5CiRRdk3dLKcpRp6A7KWPq7hbl7NgRNe5xmPqbJnzIiySDFixABYU17DR67+CE8OP0l7Wzvf3edjHHHNt6H4LJgZeMMPVO7lGDFivCBskZ8+G4cr+eeEtgwpPt1KvdTbJfeu7nNOWfb4IhhRwixTIci1yHKRsJopy+vBF8H70RRnb7u1CUWg1ydomCkom5HAwSz5gper2SPPup1Bzk0yV0jOYDlf29ebbY8EZrCxQvmaJ4KuLgv0Aid6UGWFbKjwyYbIcrWRoVQM7pPvVS6b4etMi/mgcwHMyLJOnIUwpwkrzukm1CyS7ZWQRcNK16nYGd+eoavK6qvU9dLtGXpKOhnAyRQS/JZbt27SbDA12TOm4pgxYsTYbDw6+CgfufojrK+uZ3ZmNv+74ARe9NdPq2IlXQvhnf8Hc/ee7m7GiLFNYIuQ5qV8j7xnTwBdXc6OI8uiQutZNIT8iJc5GhyYsmy/IIZvzRBrQFTdFMKrT9Moj3OGgDAXCYhB1Vs3hAoWFLVZlOcy6mB5YI2Jne+AnAogHKil6JnbT6WcJdNRDansVTJY2PTTQwFVNkUUaCl8Yvuu3KCoibJMZCcMBBTo6qoEA0pwpV7GWrJnREtsyz3Ss2BUytkwURYIzxzVOhBV+QVVlPXCu2xBFhPCBFkU5rJ3vWV9LQE5ZdGwchVcxyCTq5C1qtgNC7thkUuWfP+yWGJapQHMejaNaLsghc1X+RFn8fEJr/OMRqw0x4ixzeK2Nbdx2nWnUR4rs1thN35i7cLcf31JrdztaHjLzyHbPb2djBFjG8KU//Tdzg208RhQ8H29gE9idL+uEMYCQ37mhpANQ/M1q+WgmpyVrlMa8sj3RNaMqBIqwYBFFEEuElaahwl7nWX/DIEKvR6YBTwN7OBt2w+YykJAOcXA2l41Bao5VW1woNGDmzRCearFUmF5PmbJnuF4ForAbKFocNnzQMu1EEiqNcnLrHubo2q+TcqvOiiZNfRczdVGhopHkv3gPkndJ/yy3uLaCqqR5TqB9SKKKFEWAh0izLKsrq9dS5HJVYL8zF5hE7l2rjf4kIGXZM+QdkG0XX82KwxwDf/k1RzXotMzHBZTEwgYVwSMEWNaccXTV3DmTWcy1hjj4Fn788PBUTqeuECt/K8z4FVfgmT8SihGjMnEFiDNvyYBdFFkyCNnUcjr8xwlvzoe4KVZy3qZIxTLUinYsl7JacUGQvaMKGGWILOo4ixkToLSRJHTLRsyLRCQuAFv2o5HjlHEGYKsG/3SmRTMRQUO9moZN2YpxZacyqO8Q1KV4nYxqZLx/cyS1SJDBRPXz6ARLWoSLW5S1bJhON5ytEKgbtPQy2PLNR0Y6fGP6ZPlsqTw81ZI2mN9EKJDVGddSSbSpk9rBEGAGTSCTIQwowIxPYuGla5Tty2fOMv1CAYPFhmkqmSwXohytMBOK5vGddyydZLmWGmOEWObw+8e+R3fuO0bNGlyzA6Hce5jd5PqfxzMNLxpKezztunuYowY2ySm9KfvJi4iz4ivLnd5qSnK5P30a63UzzxlXEwcz74AiuAIid4oxJoR9TRHCbNe60IPCIxaOIqEFeiidjzJCFGPHE/W+/aNFMk5ozRGswwBqYw6r0o5y0BHr59izvKqHqY8Y4aknVPnH5BmPe1cK+ip5lpl0dAzaOjp5uxGMADxy1nXrCCwT66VnJ/My+BkVFsXhdyHUDo5bb0oyykCS4xuzWj32vOELBp2zfaJc95SHTJwIjaMqld8puR1wfXffOjPo5QKj9o00tS4jT9yKFvZj1FMmmPE2GbQbDb52f0/Y+m9SwF4x7xX8IW7L8eoDkJ+HrzrNzDvgGnuZYwY2y6m7KevQYP1/B48QqITZ/3Vd4EiecpeSWnTb5dX6xU/UEsRuAwVz0ZgtfhWDULG3MiyTIXgCrGFwK5hEs7jLEROrBx6do1+AlJXiByzRiiAsEE75Jo0Btqpe0JuvWph5yxI4uentv0UaYafOUTm9VzNMHGe5ihR1m0tuq9ZLBk2KeyG5Vsx6lUryIZRTrQmylFLRo2JfcxCqiWNnBBmmdeD/sQS4xNk7xrXtWvtWTSSnaNYaWXTyHcoD7gQ3oL3rFXIUqRAgaLvb5b5nEaOpV0n0V3+CAnu5J9bH2mOAwFjxNgm0Gg2OO+O8/j1f34NwIfnHMGpy39HojGmiPK7LoH83GnuZYwY2zamjDTfzy8wcTdoy9CRp+x7a4XgibrcKqtGK2vCOAhRixI5N7IMYbuGSZDHWUjdMIrQieIMQUo6CRAsetuLzUD3PNe89WYCavjEuVFPMbS+QNesoirN3bAoJgvkKWFh+6qzWDUsbD/jg7JpjB88tMrVLBD1WXmmLb8Ueb2W8nMsN+oqE8gGPcutiLLeFu6QgniZxYIh82LNiBLnEEFuMS20VprrpCgwpBUzUTYMmcqATHnig+wZBe/G5ij5z+0QBY04J7iSM3kN54675jMWsdIcI8ZWD7fhcvbys/nLE38B4HOFA3nvv3+rVu75Rnjzz2ZEOexms8mY28RpNHAbTTJtBqaRnO5uxYgxaZiSn74GLkMsAzoApda1Is8lr5R2NHuGFP2wqPtEWhHIDKZHBW3GBwamMjbVeiTqaSKLRqucwbpH1ySwCOgBg5IXXuwbctwhguwbBZT3OUdrW0dOzTfMdlWoY7idgXqKXG+RVLpOpZKlbloUrKJXoMP0s4k4njfX8vXo8Z5mmYrSLB5oCQyUnMxRwhyqolgjUNqjnuVWJLraYh2ReYHuYza069zKu5z2vqNAYNHw7kEypW6YKM2FjqIfyKcU+5RvdzFxfbU5UJ0NChQpUPR99EG3jZDKLMrzOoq4VDG0gjwzGimCZ3YyEQcCxoixRTDmjvH5mz7Plc9cSTKR5GupXXnjPX9RK//rdHjVWZCcemI6OGrz5PoyK9aPsnKowupijb5SjfWlOsXKGKXaGJUxl2Yz2OePSw7j4IVx9o4Y2w6mhDQ/yFcxaPgERaAT57znJpX1WSp+9TtdXc5T9irXmaH0anpAIJZSaM1cRdkK5NSEyG1KUGA90lYmUJv16oHisZXAwCKK0EmmjShJ7tWmVQLlz8FTqE1VrtsxsGtKNTZMB9cxqXrKgQSw1b1y0KJA69dDzyQSVZqFXOseZgmedB0Tu2aFCfMQgRqvDwz0tui1ItIWXdZf5+vV/iDsYdaJsm57kSdV26Yx3E6yU5morXTdD/zTlWWVjaUI4OnGyn4hFg4ZXIiPXledixT8a6wT6Gt5N8dwKVsFYntGjBhbLepunU9d/ylueO4GzKTJeY1ujv7PNZAw4PXfg4PePyXfOzhqc9czQ9y3ssgDq4Z5aPUI/eVo0M7G0WhufJsYMbYmTDppdqnS4HcUaPqEOEqe85Qo0uUvC8mRdXW/al7QvZRWWlopg63LOIfQhiJ68vofxivPrQizTOsEOYXlGEK8hUBDoESXUDYNIdgOgWXDJEhdV0OR6GE5tgG1BHYxD4USVhrsmoVhOmApQix5mhUhtnxzASjFXSfKahq1ZQTp5+q2heuo7crFvAr0AxVcVyOsuEfzL9e0tqjNZYxwKrmJFGexaYgCqnuYo1kz2gnbN4qojCRAsnOUrllFKuUsVrpO0S5QsIq+pUIUZRvL986Lj7mO5ReTEY+9rjrLvq1sGjXK1FhDmh2Y8ZhB9owbb7yR8847j7vuuos1a9Zw6aWXcsIJJ0x612LE2BZQdap88tpPsnzNclJJix9UTP5rzZ1g5eDtF8Hux0zad43WHZY/OcBNj6/n1icHeLwvmjtUYcdChl1mtbOgO8u8Qoa5HWl68ym6sxb5tEk2ZZAyDdqMBMlEAiu2ZsTYxjDpP6dP8xq6GfJJh06YJf/tkLYsdgwbK2LTULaNFHV6GKBEDimNLJAAwQ36mgUmiqCKfUA+UeKnT/VUaQYBuRP12UWROynJLUR6jCC4LUqk09568QIXARKeuprANtX5OWOGSvWW84q3kAKPONdJhbJo6OTYbSEBtiLMZanq5yjC7p+nHhgpFo1ogJ/YNmQ5+vdVz80sRUxksJEhGETI94iHWd9eiLNOoh2C9H+9ys9cr6XI5tSgq5AsqilF75kJFGUpFCOe8AJD9HrbyHq5dnnvhIQkdxEcV3APb+EwljPjMYNI8+joKPvttx8nn3wyb3nLWya/TzFibCOojFX42LUf4461d5Ax0iwdqvHSgScgNwfe8wfYYb8X/B19pRpXPLSOqx5ex7+fHMB2w56r3WbnOHBBgX12KrD3vA72mJOnPRUHM8TYvjGp/wNsnsbkMSCsLksWA1nu8jIXCPKUGPDU5YyXYK1Enl76WyrKGa2q3iYRZh16mrNWgYLR4ECxXAgxrkemYtOQTA9lAmLtMJ5I69+V0+b9bBIGdjmL5RFBqXRomi5uMsig4Xru7lQkz120WqLYMdyGgeMYfs7lpKFIJ44R7lPRm9f9y608zbrarBPgqD1Duie3W5R7veqfQA/0k/Rzup9Zpr34mTNS6Tr1WopCtugHACobiuW9tUiRou6ryTYWPQzgYlLXCqDoecB1Iq0/f/ozPYbLKLfQzhHMaExVcZNWXvWN4LjjjuO447bCXNcxYmxBjI6N8tGrP8rdfXfTbqT5Sd8gB4z0Q/eucOKfVWns54mR2hj/fGANf713NcufGgj5j+d3Zzhyj1n81269HLKoh+72jWSoihFjO8SkkuZS4810NYsUjQIw3paho8AQLmZofUbLbmBRD1UPtD0/rp5iTQICBfVaCrPNxZ7IeqVbK6J2jbHIdi5hMgmBgqrbNfRjSHudsF0jGtgmpFqUZ125riUgp8iyla5Tr1oYpotpBiWxddQj18SN3NJQqrlawJ78cuPFRHDOeiCejqinOao2t8p7re8n8zIw0Mc50cA/3Y5R0L6voE0jSnMqXafayNCTHMAmRYGiX7BE1GEhyBAULSkwRJEueun3lWlZ3+tVqJFtexjw9in6XV/b+Ci7Ju9jRmMGKc0xYsTYMMp2mY9c/RHuXX8veSPNz1avZZ/KCMw7UCnM7b2bfcxms8ltKwb53R0rufyBNdSdQFHeb36B175kLsfsNZtdZ+VIJBIbOFKMGDEm7aev0azRNXQv5YJFwQ0TZ524Fb1y2gADqD8AQpKLdHmBawG5szRabFH3vajia/aLRCcdrKxNxcxgl1uk3ol6mSfyOUfVZ51US4o0sWvAeNXUILA0oE1le0lbJ+tk3tWOYZqQc3HGPJ+yo1RiTCAph9MzZrS+jbaXjs5tGNQ9wizHVN+v7RcdJIiHuVWKueggQs+FXR+Ay/aEV90O7QuD40fzM6ci86LUy7WTYMtOAkJfwFeaRYnPZlXRl+HPn8fg6CA7/ehTfvYMyendy4CvGuuqMyji7PjBgIHq3E+vT5wBBuihh4HQQLAtsYZGo0wyGc68MaMwxYGAIyMjoeZUKkUqNRXSdowY2zbKdpklVy/hvvX30WFkOP+5Z3lJrQq7vgre8StIbd7fmdG6w5/vfo6Llz8T8ijvPjvHmw/ckTfsO4/53dOfpi5GjK0Jk0eaa5/DbEDHoM1ItyJrBbcIwIChrBdi0xjSbBs6oS4w5BPpLope8Y2U5mvOk8LeaBCglatgkw1Or3VMg/rhj6qo+rxOIoXwRe0ZUdW0HlmW4LY6AekThRltOfq6u2ZBu2p0HQPXMZVFo2FgJINy0Lq1QIefeq4RZkx+lgwnwqSipDiqODsElgy9PeoJv+8bMPdNkF6o1t33CRi8BUYehI494bh7I1aNGly1BAbugoH/wIteD0v+EpDkOtBYA7/4FDx6J6x8Aj7wMeyvfA8rV/EV5dynT2HtLq9i1un/j/wuYy39zLJc9+YlJR0Eb0V6GKCHft+Tr68rRL3NiQT1+ivIpO8ed/1nDKZYaZ4/f36o+Stf+Qpnn332FHxhjBjbLsKEOcXPn13BXrYNL3kzvPl8MDfdKtE3UuPCW5/m//79DCM19RuStQzeuN883vnS+ew/vxAryjFiPE9M2s+puerHilj1KOLcQV9Anj2SoVsxRB0VdU8q00GQTaNA0S8vHUVg2diEPyb6AH1DWXNaZXvQg+D0qa6amoTtHSlvOU2YgOt+XlGl09pxdJXbVBYKKz2+w5tKmP1T8QhyvWqRTNWVNcMxxpfAlu+OppKreu1S1loCHCGsqDsVeOYX8LIrgmvVBHY6GYZvg5H7g++Q61RxwcrAfp+AFX+ChPd9YmvpBOp1aJ8F7/sS/OH7UE0Gnm9PUaa3g85jX8rgT/5E5bz/FyLFoiwLaZaMGHPo8wiyyuQigasqUDAIYvWDWvU3KN6A0GVw3PWfUZDiMVNxXGDlypV0dHT4zbHKHCPG5qEyVuGj13xUEeZkip8/+zR72WNw0Afg+O9CctNeFa0qVvnJ9U/w+zufw/YsGAt7spx0+ELeetBOdKTbNnKEGDFibAyT83M6+jsQn9QAeDF9dAzaDM0KF4EoUCTnBQXapMhS8YMAs1QxWceQt87C9tfpJFkninoA18CmRDyl2HgQk05gW60T6CqxVLnL0Lp0t6jSkj1CCLXMC3wbgzqIM2ZgtrkYpoPjGKSswK4yURBkNKMGqNzPG4RuW4k+FVGrRtSXPIY6/2cvh2QK8i8Ljrf3/6jpo+sVaRYVW2wZbe1w5E/UwGbdLTBWDDJmFFDzmYXwmR+q4/xzGWQa2OUsnXP7qdgZsNRzZb/hVQx+8X/In3c8JfLMYR0Q+JklewYE5dxtLXgwpVmBJMe1ri67huGT5Y5BzU1fPQ26frDh6ztdSDE1gYDe/4+Ojo4QaY4RI8amQwjzPX33kE+0cf5KjzAfcRocfTZsgiK8ZrjKj659gj/cuZIxV0X2HbigwIeP3JVj9pxDMhmryjFiTBYmhzQ//vGAWPWEVxUGg/xjbrduxSjSxxx/PkN1wqBBITqqoInrpZ7LUKDoL5fIqfWWi1lwqZgu1bVdLY8HjLdWSJsop7ovGcLe5lYDdvE7y7ZCziXFXDqyva5Uy7z0wZtPGo5HmFVHJRhQzlnNjyfDqkiHd3JJdbxKOUsqY+M6BrZreqRcu/0yW4xcBxj/lFQJUvDJtg4weBN0HKS2ufdEsNfAIVeH99cHF1IqW44h6yS1nHidJWVfL2A1wFFKc9ZSz1YP/WrAdchC1jzXT//TJXoXErJnCIkObD51X0m2SfnrihT8503W64MT3X7ko3z+zCXNMygQsFwu88QTT/jLK1as4N5776W7u5sFCxZMYudixJj5qDk1PnHdJ7hr3V3kEiY/e24lL7HH4FVfgld8ZqP7Fys2S697gl8uf8ZXlg/ftYdPvHp3Dl3UHVswYsSYArzwn9NGDUbXB8sD3rRHzSeA5mzVVBgp45owlO30Nxdis04j0HWvBLLYNCxsKmSwvFLSar/yBpXlbK5CNZeF2gZkNimWsSG0Emh14qwT3lbLrY4n6yd666btb5gBaTaSrk+Yo1lEgsMb44l0Ev8YrmOodHPFVKD46qq63iexapioKoEGanAUzZwh3vDKM5CeByuXwZpfg9EODUVyAWXVkIBHGVDIwCHnrUsQ9lP3EqSZywFuEtpc8oUSdsPCSiqCWyFDap7yw1efWU9+IV7ywiAjS9TbLEVPIPDXFygym3WhdIk9g2WK3eqNydCsDF3r9UTUQLkKThHMAjMOU2zP2BzceeedHHXUUf7yGWecAcBJJ53ERRddNEkdixFj5sN2bU6//nRuW3Mb2YTBT1Y9xz62DceeC4d9dMP7Og0uXv40/3PN475n+aULu/j0a17Eobv0bHDfGDFivDC88J/T4lX4tk4pMT9AyKaRGAS85A+u4sZk3SrzjZUhdTnwMg/5JbVboZU9I5p+zkeuiWJiqA5E+M64gDc9OFCfj2IixbkVZDshMLr6J9O0NjWbYLqkMuqMDNMhZdm+AiqFTdR8WC5vZc2QY6ipWmenvQSdtURQpEUPmBQiO5FNRYfYrt0qjK2A5y6EntfBwOVQfQradwPJciQkXWwqkjWjhrpNSQJrRi+B0iwp6YwG6fYqlXKWng41QrNJ0cMAjYy6mIXKGiosYA59zGYdZfJ+JclWAX7RdZK2Ti9VXhiskujzBoAyMJRnPAE8fATs+9AmXKwtjBlURvuVr3wlzWZcVzfG9g2n4fDZGz/LzatuJkOSpatXs399DF7/Azj4Axvc99pH1vG1f/yHFf3q1e6L5+b53GtfzCtfNCtWlmPE2AJ44aT56ndABUUeouQZVKloAE9tTg3A3NHh0CvuDBXmsZoiBSpksbCpeoqylEGukCGFTQ8DWNT9HLyiuqaohyoGGklXKarRQMEMgZVEh+RLhnA2i1aZLWDTCbOQi6j9wiTI65z2tsujCHPaxkrXPZU5IMx6FcDwwMHLsuF9SWDdUBTawcCW6Ot0HdcxsT3lmbSBP6hwCAis9LctMhWIpUJKlTuAMwzF22DBR2DRuXBjD/RdC4t281PlkULdA5kX5AjsGWlUvmbJPCKEfm4TGknGxkwKuYqfm1mIceegKqxjzuoiT5kKWZVZw1OWK94zo3ubRVmue6qzBPt1VdSDm1oHTg8YjiLMiT4Csuy9TVEX/2FmJNKMtwZNBjZlMBUjRowQGs0GX7rlS1zz7DVYJPjhmjUcXLPhTUvhgPdMuN/KwQpn/+0hrnmkD4DeXIrPHLsHbztoPkbsWY4RY4vhhZHm+iBUPJlWU5YBRaBHCAj0oPdtGqEuDFbJpqshu4a/zrNpAOQ8L/PGUs2B53tOOlTJks1XKY+2yEOpF9CAcBYMHUII9W1akccooiqyTkCFMIvqnCMgkiZgKrKvE+ZgYBDMmy0V5vE2DVX5Lk8mWVXZNiyDoldx0BkzaJTblaor1fdAEaJ21D0VC0sOZdFoRw06xGIh9oynlinC3NYDey1VASwdB8PwtcCH1HEThIMfReGWY7kocp32vkPy+Is9o5yApItljZFJqlcGYrsAaDz4H5JtBp0vmUeBISDIwCLzRQrMYR2z6aNEzs/5LSqzBPulBqDeA/U5ijjTR5gky3QQ9UwngZEnoGM3ZhRmkKc5RoztGc1mk6//++tc9tRlmCT47to+DquPwVvOh33f0XKfMbfBBTet4IfXPEZtrEGbkeDkIxbx8VfvTi4uaR0jxhbHC/tfd8NHNmrNwLNmhAj1AHQM2zQ1Ah0UOAmyalTI+ipzuNPjVVY1Pz6bRLK9QoMsmIkgTZpYNMR+0EpJbqU2y9XS22UqRU1E1WvDyw5BoCaLh9fUttUVZ7NJMlUnlbExTDekMGep+iWzw4GArVPOWd7U9Ui2KgSjSLSVFiOLFbZp6H1HOxfxMmcIAgXLWt8fWQb3LYYd3gFr/6z8vW1d0H0krPoljN4L9bXKvlG6V92H2XtB1lLHWPUwZG1wBqFegsfvVUS+fX+YhSLMz94DQLJWYmzNMKP3Po5lwbq9dveJ8+M3PcWcl+9GV0a9iZAKk7q3WVLJKW+zGiWIHaMwWKXYncE1DEirtyJAMOAbICDJOuT/wL9PhtfcOO5+TCeaSWhOgT2jmdz4NjFixFBoNpt8/67v84fH/kACOLdvPa+s2fDWC2Dvt7bc5/7ninz2j/fzyFr1w3XYLj187YSXsNvsjYtHMWLEmBq8MNL8yKXB/CBhQjEAXmxfgAEU2dIIdGoA5tSG/UCrKPK+yiwJ5+oYXg03y1Ne1YmEibSpWTVaHDTw4crXSvaGDEFeYiG7rRRpfV63YOjkWdRjsSGkCRNo3cecVraMVEZZM1KWTYaKnwYtS2VcEGBUbdahrpC6vXqVRReXlJf72TCdoLR2MRUMIkRdFgVYSD3auUiQ4LPL4J7FsMsS2HcpXP8yWPN7WPBh6DkMVnwHbjwg6NjV3vx7VkDbQnWcv74Ohp8JtvmWt81fm4FN4w0HAsoa3bjnPoZ+/yeMnedx0NO/9bNjrLvkRg4/+1VUyGpqcpB6rkKGLFVNWVZqtOxvp7VsLzLw0/3uQp6FJEffrqy8acL7MV1wTfWZiuPGiBFj03DBAxdw4UMXAvCV9QO8tlKHt/68JWGuOy4/uPpxfnbDkzSa0JVt40vH78VbDtwx9i3HiDHNeP4/fc0m9I2pjAhRW4ZOnOUbdKsGwDAkpHiFh67KMHY25RelmKNlMdgQ8pR9D3SoPVvCMB2G61KzWeuPFDwRUiSp4dDWlyPrXALSKPNtBIFtOjkWQhz9vhRBmjVTm0/bZHIVsrkKVlINBlLeICGFItBRP3OrdHMCnTAXKfhFZBwM6kmPQFsG1bS6bnbO63w/QeVCUOS5QLjwStk7vweXwS2LYY8lsM9SaCRgz7Pgwc/A7h+ErpepfQ75Pez49mBQItdJzv+jT6vjFbz2AoE1YxSYC8m1ZRqjWXJzB5iTVenhFAlWKeQq/7wRIwkHvG0Ro5TIURpXwW8O68hQ1bzNQUXAPCXfkmHJuQ8Aq1HPt36pdbKsq88JwHXBmIrIu+eHmDTHiDG9+P2jv+d/7lH56j89MMRbR2sTEuYHVw1zxu/v5bF16sfnDfvN4+w37EVPLjVu2xgxYmx5PP+fvqvPVoShm3CaOQgUOfADAH0MooiQRrQTg5BNBx5VybssKFD0VeMCRZ8gi0Io8xMpyxssq51DEaK6tgxBrmWZbyMgyBAOrtKJYIawgiwBfqIyi7Ld7h0v1/QJs5Wuk0lW/aBGZVkJcoKId3dD1gyBX0Zbq7YoBTtEdR5o9JAvlHAcI1Ccy6nwdRACmUfZKtq963HfMrhpMey5BA7yPMwOsOPxUHkc7FXQOR+yC2Ho37Dr24NrKWq7VE7Mo4hyNFNGr/fJOTTqKZLtFfJZdZ8zXpifqMrJ0T4OuvCD1MwseUpUyVIi5z87emaWIl0Bka70MZTt9BX91ADKv9xJQJSlrZvA4x61aoj6/Me3wTu1NzDTjHqqjXpq8tWpeqpJHA0YI8aG8a+n/8XX//11AD5YHOak0ii8ZTxhdhtNfnrDk3z/qsdwGk16cxZfP2EfXrv33OnodowYMSbA8yfNV/xATYU4jESOqCtxQiIj1gydQKcGoNkOVq1KpTsgxQFZHvKV1bIWGFhgKEScAc+YoNhN1A8NhAtqOFobXpsI08IJJPgNAquC7CeqsqjNuUi7EERpk+/Oq2myvUIqY/sKc5YKFnVMXN+eIQS6Vaq5KHHW083JfF1LUzFAj686W8k6A/RiWYHSXBVFQwYWOYJAQDnn25bB5YvhgCVwxFLlh5ZCJwB7naamY0Dvy2BouVrWrSomQSCgHFsqAZZRZDmF50M3seaqB6xiZ+i1BshTpkSOOfSRp8TstylLR57VkTLsajAm2VlU1pUh36oB6g1HajU0uyEh93kYpTJ3EwyoBgnIs+NNBwkrz4//jZkE1zBwjcknza4Rk+YYMTaEW1ffypk3nUmTJu8cKfHxoRF4889gn7eFtlszXOW0S+7lthVq5P3al8zlG2/eO1aXY8SYgXj+pHndSEAQRVnWLRi6NSPFhGTZxzCKnAKF+hCplGIqFbItFWSdUIuy2ApZq+r30yYLpglrvZWS5qxGmCwP+V8SqMt6UJwQRLFnyLY6kZZro08L3n4FIOeA6ZLNVzFMh1yy5NsvslSxqCvLQEhpLm+SnxmUpxmUuiyDCReDFHWGPB/EAL1+UQ87p9Toai6r/M29qOskhLbozV+xDP6yGF66BF69FEYTgXouRQalymEGmH0Y3P1nSGqJraMWDblmEFgz0t517gVr7giZnCLCijCXqJIhTzn0HGSospp5zPOIs7yJEHJc8Epnl8gzmz7mDQ5Q7M6Qraj1iUEmJsq68ixEuZPx2TSakpB6ZqCBgcvkk+YGcb7lGDEmwoP9D3LadafhNBxeWx7lCwNDJN74Y9jvnaHtrnxoLZ/90/0UK2O0WwbnvGlv3hp7l2PEmLF4fqT5ydsUQRom5EkGgmwZMK6kdkuyPIhPlhPefHu9QXWHYBNdZVXqcpESeZ8MAiHSbPgqs0eqrYjnWV7/68tRslwieBXfhiJ6uvoKAUFsJ5w+TSfK7ZF5sWQAmVwFw3TIW2VMX00WW0aYNIudYHMCASGwZKh5g35faTapeopskQKFZJF+u4fO3iGGHc9QXDDDnubrlsEfFsNhS+AtHmFOeNdS8juPEa5CN+sAaNhQfRTm7B2QY7leYtFIo54LUZvBt2bY5ax/vfrtHrBgNn3MYR0l8sxjNbNZ52fDmMM6fyCVp8Q81lAi5wcBghqYgVe0ZDXqOdaJcpQ868qzq7WNAB2Efc03XQQvf/+E92ZLwsHAmQLS7MSkOUaMlnh6+Gk+evVHqTpVDqtW+eb6AZLHfw8OPNHfxnYafOufj7DslhUA7LtTJ//z/w5gYW/7RIeNESPGDMDzI80/+WhQtKQVxMc87H3DqPfRCfYgipB0EhDnOoHaPFKm1JGhh4FQMKDuY44iui6rpRzLF0pUTJfq2q5ghxzhCoFClnXLhkGQW1i3dQgKKNKnE2bZVs63y5vvQhUvATKFEvkO5VmWQUHOI8kBaS6HLBlSzAXCQYBdHhEc0q4ThIMBZar7m21vXtrylpJ/7UKKan8BCk0YS6j7ePsyOH8xHL0E3uoRZrkeeNdEL4stCnzvPmo6fL8izRD4vCFs0ZDMJV1oOZpNrN4RZnf3+fezhwFfYZZ0c2LXEOIsg6ouT10GZdGQIMD2wQaj3Umyo54yPAysZLzKHCXKusoMgUUDbXrpV2YMaVY5ZyY/P5zNzFLUozjppJM45ZRTeMUrXjHdXYmxHaGv0seHr/owQ/UhXlKv8/11/bS95hvw0lP8bVYXq5z6m7u559kiAIv/axGffe2Lscw4j2OMGDMdz480P3pPMC/kOUqIRW1OR9aNEJBlwQCBIqvZNHTkKVH2mFZQCVAxGSFIMlWVAZVnQPI9+8jVgVRgyRALhlgKIEyOxXqgF/8QxVgIYl4d0idWBe0chDB7SLZXMNtc8h1BdoeosqxXOuzy5lspzXIt/FOjNC7biE6O1WmMV6D1NgC7w8J1vHLbTgf8fRl8fzEcvwTe4wX9tRFW3k2CQie657tQgPx8RZrb3x1O6ddOEARoEFQAnIvva87MHSLrVf8jSch2MYd1zGM1GSo+YZ7H6tC6EnlyPrFW+xVGVMfbBxuKFHcSDIQ2ZNGIKs96wRM9w8bqZ5kpUP9LJv/HeCosH5OJ4eFhjj76aHbeeWc+8IEPcNJJJ7HjjjtOd7dibMMo2SU+evVHWT26mgVjYyxdu572I8+Ewz/mb3PrE/187Lf3MDhq05E2+e479ueYvaK5WWPEiDFTsfmkudmEgSb+29loyWwTRULktbWglTVjgICsCHFuV8cxHSg4VYxO1yfgJc27vCHFOetlVgAok1cKZZIIeSbwM0OgkqK16QGAoIixqNGCTgLfc4EgdVpOWw/QBcnOUbpmFf3+Q1BsQyfIQvwNnBApjirNeUobtGhsSGnW/czSZpMKKuMVDIbWF0hc9hOa3zwV3rwEPrMURhJBZUBBlSC4UQYfY34noHdfGLg/GIB0EQ6KFJW64H3K3rpcnWyuQqWcpadjgF76yVGiQiZUCVAKmegDJ31AIkq0KNOljgx5qph60N+zqGdT2oQodxAmz+u8c9K9+zJtZVeaZmyvpPkvf/kL69ev51e/+hW//OUv+cpXvsLRRx/NKaecwpve9Cba2qKlPWPEeP6wXZvTrzudR4cepcdx+enaPnpedioc+VlAFTe54KYVnPvP/9BowkvmdfCT9xzEgp4JagnEiBFjRmLzSfNlv1Q+VyEHoioLYRDlWQIDW1kzhlFERCfVIygyohMSID9sU/KWuyj6JDHqaQalmAqRllf5ZY1YZ71gsrrh0DCzQCJM3FKEi5dUCcihcFOHgPTJNhCkStNT0YklgzBhLiSL43IIy7kI4VPq8pAfHKirz4IujUQLChTp10YmUU+zqMp+2jl66KJIv0aixeNc+/sljH7qM/C+U+DMpVBMBPdRKgIWCCoD1ggXfREVft6+cP/Faj89N7Wu7BcI1P9eoLdOxiPM2Vwl9MZA/MxCkpWnuc+fn8dqLQiwErJuSPGSxGrUcyhEWZ7b1YTJ8wjjlWcD9dzrz7xcFznOTz8HS77NdEPd8+2PNAPMmjWLM844gzPOOIO7776bCy+8kBNPPJFcLsd73/tePvrRj7L77rtPdzdjbOVoNBt86ZYvcdva28g2Gvzvuj7m73ciHPM1SCSojbl8/k/385d7VwPw1gN34htv3pt028zJ5x4jRoxNw+aT5mXfVdOoqqannBMyEoWQZV2dHsFXl0Pq5YiKqWp2Qt4tUTGUTLlhT3PZy88brM/opuUkkIN6NbAr+FkcCgQKsp4ibkibF6Kne5qFQEftGQV8tVUnzLlkKaQyi5+54A0IdOXZ1MiytEEQAFhoQZohnHbO8ah2dF1QITBq0VDT/mX/YPRD3yb14RNp//FXKPZXaCTa1fUQsgxhL7NcnzHCT9bcveGWVWAMQ6FTOhYER9a95V7vuLkm1CyqQM/cfnqSA/4gaDaBt1kGThmqoUGHvm4eq732MvMGByh1WuSHvYwk8syu8foihFfyMutvRnSVuYPgrcqwtp+et/nvF8wQ0mxOkdI8sz3NOtasWcNVV13FVVddhWEYvO51r+OBBx5gr7324jvf+Q6nn376dHcxxlaMH979Q/654p+YzSbf7+tnr91fD8d/DxIJ1o3U+NDFd3Lfc8MYyQRfPn5PTjp8YZwdI0aMrRSbT5ofezJsWdCPoKecG9bW1VHkKqo2i9LY3qINfCU6P2xjtDu4KdNLNVbya+PpKJEnQ2UcUYSwNSOVsakDjZrG0nWFWBRFE18pHlcQpVVQoKRKk3OY1cQqlMgXFJHLJVVgWo/3Tl9Xm0U17mFgHIk2NJKsE2ZoXeBkPGk2x62rtyDNYtlYvexKnln8I3qWvJn2pZ9ntKn+wCc7R2nQrlTlIoFqLGn48M5dSo+LRWOn3dR04EnoOjDIYV3Ds28QZNKoAiRIzlEDjUyy6t+7LGHFWRRm3Zahq8/iaYZg8JQftkmsJBikjRAMAOXNiLwBGdam8uwakX30bUSBBrBltDW9sGnDZvIVLXsjKQ+nG2NjY/ztb3/jwgsv5Morr2TffffltNNO493vfjcdHeoGX3rppZx88skxaY7xvPG7R37HsgeXAXBO/yCH7/hf8ObzIWnw4KphTvnlHawbqVPItvG/7z6Qw3fr3cgRY8SIMZOx+aS5rCm3Qp6jZDha4AQCVU9URWgd/KcTFE9tDm3rIacpzlkquJo1Qw8aFIg6WfWMtamMTb2HMAkUFFAkWSfE0dLYUWuBTpZ7gVyTTG+RfEcJt2H4lgydKMt8lEhHAwCjQYH+dm5r4lKgyIChLn5YZTYnJM2uR64fW7ac/yz+DTsuOY7epZ8mkRimLdGAWVAq5qF3BNvMAwl1HcoE1RIh8DTrxVAaHmmuPQG5A4P2ToJqiZq1JdkzSipjk0lWqTYy9CQH/IwZgeK8zg8ABEKEWfc75ymxQ3012dFGoDLrhFeePZkX8jzo9UdXksWnr6vM0qavA+X9nwFwNEvO5B53ZmOHHXag0Wjwrne9i9tvv539999/3DZHHXUUhUJhi/ctxraB61dezzdv+yYAHxsq8sbCS+AdvwLT4sqH1vLJS+6lOuay2+wcvzjpYHbuidPJxYixtWPzSLPjMFZUs21RoqwfTdTmMkEauTSKWAgREdIihEUn0vp6T/XLjjZwzRIYgXdZfxUPAXmukCGnFfQIEcekATmoeLl/VZERM1zAxCHw2IJa52rLKQKlWc/5LB7mXJ1coeRnoOhJDoSC03TC3Et/pH3In1fKc7+3nSLVPmkerJLYgNjnenYQHboCr3I299LDAAP00MMA9y+7m5sW/50XL/kv9lr6LoYTg35gIEkwul1KI3kwXUibgSVDBhg571qJ6izXZcduyBZg/ZPeNScgyWnCA5Q0foXEaiNDJln1FWbxKEsGjWhe5vGEOnhGEsOQx1OZIQj+E7+9rhivjrSnCBNn/fkU5VnWjQLtXpxsuUwiJxGh04OGNlCa3OPO7NfL3//+93n7299OOp2ecJtCocCKFSs2+9g33ngj5513HnfddRdr1qzh0ksv5YQTTtjgPtdffz1nnHEGDz30EPPnz+dLX/oS73//+zf7u2PMDDzU/xCfveEzNGjwllKZD7XNg3f/DqwsF96ygq/+42GaTXj57r0sfc+BdKTjwNMYMbYFbJbZsXnZn/35sWHCNg0ILAziXRYyoW+nz+sqHpF2wUgw63tRPWSo+nYMCF7fix1B1keRSVb9oEDtYAGJ04uXgFeQhMCrrEP8vXOBWWF1sdARkGO/rQVh7mHAmwYEWdoKFOllgMJImZ5BFchWGKyS6EN5byf4yHaFwap/nPGfIe9T5MFld/KvxX/jgCUHcfjSd9CVGA71VbJ65DtKZAolKNSDEuGdBBlDpJS4ZFGR+Tm7QfHJ4Brq/vAevOA/h8xOQ9SrFpVylkyySi/9ZFAWDbm/8pahREBIJUeGIE+ZDBVmu31kRxs0OxVxHufFHyasOAtk8DaibZeK7Kev05/ZUUhUoHneV5huyKBxKj4zGddddx1jY+PLfI+OjnLyySe/oGOPjo6y3377sXTp0k3afsWKFRx//PEcddRR3HvvvZx22mksXryYK6644gX1I8b0YHV5Nade81Gqbo0jKlW+NNZO4sRLaaS7+No/HuacvyvC/O5DF7Ds/S+NCXOMGNsQNktprv7gB9Q80ptvh8HhcEwfBkFWBZcwCSkTqMzSrq/XybQQFumdAQlvPttd8a0Euh1DVbjLkPGJs0HFO4Asuxg+iXaTRuBtBqiZQdozyQJRRJG+qJ8ZguC/urbOdMn0lsjmKn7An00qRFKF0OuEGaCHfl9NFsJs4NBVGcZwwBwgCDQcYKPvxxPanS2Y2gl0jN/2mmUr+dXiB3nFkj04dukRDCcG6Peqi+ikuUgBCxsrXccwXSqGQ2M0C+WE6puu1EcxbzfofyKcXUOutwmkHZKpOvWqRSpj09MxQIEhLGyqqCI3PR6BlnSCvZ5lI6MpzFJaW7Jl5IftwJahk9xNUZk91dhXkEHZNvQ0dNqgjmE1mJS3MO7vfkXynO+2uBhbDjZttD3PdOwbPu7MNmj88pe/5Fvf+hb5fNimVa1Wufjii1m2bNnzPvZxxx3Hcccdt8nb//SnP2XRokV897vqWdhzzz25+eab+f73v8+xxx77vPsRY8ujZJc49eqPMlAbZI+6zX+XXNo+8Gfq2Tmccck9XHb/GgA+99oXs+TIXeKAvxgxtjFs1q9p8ebbsB3oMKHkkYjBYeVu6IjatYSISHaFOuFgO0GULMuyKJVyLG8+P1LF7VAE2MbyCbRNChcDC8hoJFltY/qKdMVPFqyQzati0o2cATXvD5zhfXoJAtuEI8hU0qzlgXQT0jY449W32Z51QMhyD/10eSRaJ8xdmqpboEhvRa1LrfMO1KcdVJ+fCNqdNbVudZnD9Gd7/PRy/7dsjJ8sXsFrlizgLUsPYTCR0IiywwC9YR81LlhQIkcqY1Otp9QDkCbImqGnnhNv85wF8OTtqhO6h1kCAmsmDVSlxEJHkRR1Pyd3FrFoVH2bhpDlDFXKXgETUAOoIl0UGCJLhcSoZ8uQFHNRkqyTY3n2RiPry5H2EYKBSy68f5vpvYUB3KH1TLfGNHWe5pnh2Y5iZGSEZrNJs9mkVCqF7Bmu63L55Zcze/bsDRxh8rF8+XKOPvroUNuxxx7LaaedNuE+9Xqdej0YkY+MjEy4bYwtg7HGGJ+6/lM8Mfwksx2HpYNlcu/9K6X8Ij607A6WPzVAm5Hgv9++H2/aPy6kEyPGtojNIs22o9JMjXjEWaaC6qjiT9QVeWAYJUVHSQmE1Ugh3Ho+51Gvd4a2r7cuU69QSoXLZdtYmre5ik0Ki7CdI0uVKllcTBwMCh1F7IZX2KPNxS7mwUwEaebQ+iBTUBaEcujQWGmVVzhrVX1/rRA5gAJDymah2SMgIMw9msocIsyD2pfI/AAbxwAQLTQ1Wx2zd446wCWX1Dhv8ShvWDKHTy6dRzExQIIEA/SEbCWS6q5EHgOHFHUMy6FsqutdNbNQ9qos6vdVD6ScuwMMrYGeprrGEBDmQpNke4Vsvko+q66dqMeSls/CDr1Z6KGfLFVfUZ5Dn0+qwVOhR6o4nWCKfUJKXkc9y3qO5uizKjYMyf4i6yHwc6PaB4ehu1MNKPPtMBN4pQr+nHyleabmzigUCiQSCRKJBHvssce49YlEgnPOOWeL9mnt2rXMmRP+zzhnzhxGRkaoVqtkMplx+5x77rlbvJ8xJkaz2eTc285l+ZrlZBoNftQ3yNy3Xkx/YR9OOv/fPLR6hHbL4GcnHsx/7R5nyIgRY1vF5tkz9AWPHI040OZA1SNIbaZHGASjBAqzTkhSkWVTm3rEO+Q99dYZKbVvhgp1LBwMvyJclkqojLSokrribGFrKrRuUiVQi2d5qrNeOhuC0tkmMLcJpksyVSebr2LXLFpBLASi7OoQS0ZAoBVhTgkpFpIs/mVQfRpk0xC9u95yyoRlv4PPfHaUE5ekOGNpB4OJBF0aUS5S8DR8l14GvHAyx88fXSKPlbRx0gauY3jDk1RgvagSKPRpYN48qFfBGYFMp1KlvXVWoYSVtkml62oQ4zntM566nML2ybCQaLFoZFG+56x2/wsUydQrFDtyqmS2ToAl/7IQZn2dFDlppT5HMmmMjUJbuxoojrnBm5ZBb31pVCXQmDgMbcugMUX+48ZMGBG0wHXXXUez2eRVr3oVf/rTn+juDgxklmWx8847M2/evGns4abhzDPP5IwzzvCXR0ZGmD9//jT2aPvGxQ9fzB8e+wOJZpNvrx9gr2P/m+dmvZwTf7qcFf2j9LRbXPSBQ9hnpxlWEjRGjBiTik0mzU6xGFquQsjoEK2aXa15qrMTZCMLeZjr2rfrHlL9b04Zpe6mCQi19xuYdavYRgqblP8a38ImQxUHww9XEj+zhY2D4S87GOSBYrKAYTpYabBrKZUZAlTnxXcrRFAn0N52ZpuLYTr0dJewqPtZHSTDg45wcF/gaXYxxhNmIcouAWEe9PoSzWetF9XYEDzutOyvsPjrsOS98L3z6gwkBkmQ8AccPfSH8j8LgU5hU9UqFNZJkbWqkAPDdBWNlcGDmQjSz4FSmgH6V0O+U9lacg6Yrk+YraSi3qLUZ6iSou7nZZb2LBVS1CM2jbBtA9QbCVNIsq4QCxGOEmgYT6b7GD/Y04jzyGhwitE3MIkE2M89h7XTTptwc6YGUxW0585Q0nzkkUcCKvhuwYIFM8JTOnfuXNatWxdqW7duHR0dHS1VZoBUKkUqlWq5LsaWxXXPXsd371R+9E8PFjnqkNN5cv6bee9Pl7NmuMaOhQy/OuUQdpk1vZlyYsSIMfXYZNLcGBz0lWb5M1/VpiaKOGcd5ensaIdqHTLyd19/VR/1Luu/DaNam65Se0iMgplu4JpgUQ+py2LTsAlUX4s6FhYprJCfOeVpoxY2WIrDW+m6Is4Csxn0EaBXEclkqk6jniLXWxynMEvxEUMjl6I0S6YKXdGFFgqzEGbxLkdtGbrSLCRazwphTjAFlt0Ai38BS94KS78OdgJlBwlqv/hluPVcCWG7hlKaCwwpy4R3CVzHwDEcGvUUpDWPOECvR5rLayC3J6QVYc4VSsE1TIOVtL17ZvuFTLJUJrRpSL9EYe5hgKxbJTvaoNKeDAhzj3f9ov7kVuS4HlnnPbu+ulxTz7a8UTGBkrfNiOP9v/CYdPOPf6RnA97VqUYdC2MKnNX1Kagy+EJx//33s/fee5NMJhkeHuaBBx6YcNt99913i/XrsMMO4/LLLw+1XXXVVRx22GFbrA8xnh8eGXyEz934GZo0eftIiRN3eSP/2WMJJ/5sOf1lm11ntfPrxYeyQ2frwU+MGDG2LWwyaR657DJ/vhpZlyGsPFcBRiHjEV4hG+OIs7edP01pUz0zhZCZmmpLjUI9pdTmspH3rRqqLxWlgGpkOoWNjU2eEgOkMHB99c0vy22BlsEMJ2WozBCmG6jPQNJwMNtcrHwxpDCLn9bFCGXJmAh6mrmuyrDyL5u0JsxRsqx7mocj8xt4O7js37D4EljyKli6GBLrIZWAuleERioSAiE7hp45Q0i0RR0bixQ2Liam6ZLJVbBrKZWRxDRBG7yw61w1HVoDubp/He2ahZW2yWYrWNgUGCKFEGf1ACiyHCyr7Yq+8iwDoC6KWNRJ1e1wuWxQz9AgQcU/PSNGq6muLov3GvUsA1QdtS5a20SSnMn/kcQtt0wraZ46pXnmldHef//9Wbt2LbNnz2b//fcnkUjQbFFkJpFI4E5QGGhTUC6XeeKJJ/zlFStWcO+999Ld3c2CBQs488wzWbVqFRdffDEAS5Ys4cc//jGf/exnOfnkk7n22mv5/e9/z2Xa39QYMw/91X4+fvVHqLp1Dq3WOLPzAB448BxO/PltDFfH2GuHDn51yiH05OI3AjFibC/YZNK8/h//CCnNVW2qH2hEb/eIRialEWet3Q+wk/kUYWINAYlujyx7sLBJeR/xKKc8gmVh+2RaSJ5FfRyRMDxDR8qyIUegNhdK2GVNgkXsGOoHN2XZvu9XyGWeEiaunw1DZRMu+ct6EOA46IRZJ8hRsixEeVO9zcCyh2HxtbDkCFh6krIOyPFSeMVTsoEVQ85Lzq1A0Q8ELDDkBwf6SIJtqWttmIoMO4ZDw9WM1KZJor6eJtBwTRxU9hIhzHLtVJq5wJKh32MJ/FNWnAqWZtMANZAaynbSVRkmMYh6nnRrhgzEBghbM6Lqsq4yp9XzK29ORkY927b4+gmm0bcx5dtv3/SbNAXYnkjzihUrmDVrlj8/Vbjzzjs56qij/GXxHp900klcdNFFrFmzhmeffdZfv2jRIi677DJOP/10fvjDH7LTTjtxwQUXxOnmZjDqbp1PXn0qa6v9LLTH+G5zNg8d8T+cuOxuSjWHAxYUuOgDh9CZme78ODFixNiS2GTSXL7nHn++2mIqGcbGqc4acQYUCRHVOEWQokw3RIu6JyS6rm3vHS9Vt6lkM74CKSqoKLyKZNU9u4b6ciFfkj1Dz+WsSHVKEWcC4pzxKvsZpuuTwVaI2jIMbdlsURpCrBq9I8MqB/Mgiizr/EbaxcOsp0qT6zRRulztOMuehMW3w5K9YemrIDGEqk8umbe8Y/RWBjCyznhCDAxRoJd+DBzK5H1CLV5xn5hZUHFMf2BBm4szptY18p0wMkzScEhlVL5nGXiIqi3lvTOoLCSiHuvkWKnRdY9E532bhmRLybpVZXUZRT07kjVDiHC0YmGUQEeDAL3t5FmW53sEpSxHn3nZBqCxdm2ru7PFIFd28o8780jzzjvv3HJ+svHKV76ypYItuOiii1ruc4/2NzTGzEWz2eQrN3+Z+wcfpsN1+XE5wdOv+TnvvfhhynWHQxZ2s+wDLyWXmvysNDFixJjZ2GRjYrVcpsp4wqzX3Brz2vUPKLLhOCiyohcD0SHrJHNGTWuXeSdoszRFWghyijoGjk+gLY8y60FtlreNENkUdZ/wgkdyTZdsruITZStte/MOeS+PcCFb9IL+wuWxXzBEZR7QprpvWVKgSTnn0chH0qZ565c95hHmPWDpkR5h1km6931+PmjtOugfMzJttU7U9pRX/EQ+Zpt3fTvzGJWhcYRZ7C02KQwcct51TflDHkWOJdBS7BgSnKiU57pvzfBRIxh0DROkjYNxhNhXpIfDbb4dw3tudeIs05bPvDdtvAAbwGQgeF8w+Z+ZjF/+8pch+8NnP/tZCoUChx9+OM8888w09izGTMcvHriAy57+J2azyfcGRykd+XPe/btnKdcdDtulh4tOjglzjBjbKzadNNdq4/yaOnF2tHl9na5Zjmmk15+2IsoO48m1vuxAwgXDDau7OoQcS15h0/MxB5aD4GNpJExgJIX8Of7HNF2MpHynEyKKUsGvh36vel2rT7+XZk6lmpszOKyyO8hHJ8o6WpFlr/pcq4+sX/Y0LH4ClsyFpbui7Aqt4N2X1DroHRn20uAFyar9oibafJ6SPxVV2PciJ71sGP7HJpuvkix0QHmYbK6irqVGum0sL9tJ1beECBEOk+NgQJTy19V9+8ZQtlMRZ/150clzjcCOoT+Hsp2+T10N9sZGveA/b5U+baN1u0zr00yabdr84NjJ/czs19Lf/OY3/cwUy5cv58c//jHf+c536O3t5fTTT5/m3sWYqbju2ev4n3v+B4DPDxbpetn3eedfyozaLkfs1sOy97+UrBUT5hgxtldsMmlueK8jhRSPtdgm+lK/ClS89qoQED0NmV4Mw0GlV9OJi0MQENiCYIuqqAeIpbw8zKZHtKIEWbbTCa8i1rZvSxBiDGCarv8xkhtWXnXFGgISHiX0E7WFIORZJ8wRslwahWfKMG8YHiqr5dKoWvfz9bB4FSzphqW9kJD9dWKuT73AQ8O7HyYuPV5aPBkU6PP/fNk3Kf/pSn9QIopxiDhbNsnhfkYXvpjEcytIFPIky0PqOiYDdbruBWdmqYzzU5u4VMiELBwyIBqi4H+3gYvhqnueGoX/9wn47q8YHxgpz5HjrdOfLWj5NsTxronYMOQj/wccxg8WZTrdidnGvxeYvM9MxsqVK9ltt90A+Mtf/sLb3vY2PvShD3Huuedy0003TXPvYsxEPD70OJ+/4dM0gXeOlDhsr8/y5iuzPmG+4H0vJWPN7Oc+RowYU4tNJs2O9hnTplVvXleWpZqyEIkKgcosBCTEGVv5ckVtdiNfrn0MbT9LI0+CVj/14u/ULRr6VI4DYfIcPl5YZdbX6Vkn5HsmQkJIax+wTpu2IswehCyXRlV6s2+58Gqg4KrlMxzYZRg+VIXuBCxt94L+NNzfDy+/ENKfgvmfhO/8wVvhBuf5zz9UePuLH+ON6Rv41D7X89Dlz4au7wFfOpb7P/9HjMbYBgcStXN/gPXG12DtNo9kLotz290MHnQ8fandWbf/G3AxNSLskqhV+M/7v8cN+5zBb80P8rcTLsb0CLU+EHr0+nV8+sBbODb1b16/2wouvahE0Siotw81+NIp8I2LYbjoXT8hyjq8DBj+MyVKtDc/5gQZYGTXjdmTottM5EbaUtBzoEzmZ6aT5lwux8CAemVz5ZVXcswxxwCQTqepVqP5f2Js7xiqDfHxqz5MpWFzSLXGKXPexPHLX8So7XL4rjFhjhEjhsLzSrbqRKat1OfoNqAqp/mNoixHybBLEFUY3U7f34OJS5XsuBRpol6Gia4Tsmm0IsDS7tsAkjZW0iaTbP1DK/tuCKqEtrJk9HpWjcJgNVz8Y2PQ1OURR30Ggd8BJxCon48CzwG7Ajs0VQE+Xake6YfX/AV2zsBdi+G818HZ/wfn/x++LeS2W11Of9cgJ5xS4Px79uXQE2bz4xNuou/BPu+cHXY+7kU4pSr9/7wrMnAIrmeiUqb2i9+RXfwOjKRL0jLAbZA9+W2k3/l6miQwcDRLhovhjmFkTHb/xNHMO/pFJNDfDKjPwIoRzjn+PvY7qsDF976Ik07L8anFVW65okx21AYH9l4Iu+4Av75Me446tflolhZZByoI0AnejIyMBm9MxggrzBD2Mm/oTcx0YKZ5mpcuXcrChQtJp9Mceuih3D5F2UWOOeYYFi9ezOLFi3nsscd43eteB8BDDz3EwoULp+Q7Y2ydGGuM8elrPs6q6np2HHM4x9qL1z38Wkp1h0MWdXPBSQfHhDlGjBjAZpDmMcKEodV6XYWGMB908EiIS5j8Ron0xpRobb3hhC0Qeoo0gU6WdQVU9mk9dVq2W16wYZbxBFpSnknxEr2YSdS2AcqTvUnwyK4QZkEVuBrlqZ2PItCXALcB/w84foLD/d9qsBuw7NXwkm74fwfAJ46G7/0Z5RXvgwvPs3n1a5N88jMG++1p866v7cHOBxa46ccP+dcmaSTZ8XV789wly/1rpqv8Ji725deSSFmkX7afUpHbTIzdF5I+9QOYu+xEkoZvixGibbW3sf9PFvOiD74ca24XCZraevW55qdPMWtRlo9+dwG77mly0sfaecPbTM7/vhYE6MAbDoFLriU88BrVlkVVjlqECNoc7dmraNcxSpzlnkTfxEw3eZ5Jnubf/e53nHHGGXzlK1/h7rvvZr/99uPYY4+lr69v4ztvJpYuXcphhx3G+vXr+dOf/kRPj0pGftddd/Gud71r0r8vxtaL/77tXG7vv49so8F3azne9dwpDNUaHLigEHuYY8SIEcLzUppbKcoTLYMidj7J2FRlNYqoKqvNR/3BQpyroSRg0cMZPpmWfVphIiKtyjlXQ+Wyo2Wzo1k5dO/thNCtGVI2W4NUnKsCdwB7ePOXAl8D3gR8moD/icdZ1OblffCKWaALJ8fuDY+ugiHPBrL8Djjy6GCDLoocdGw3K5ev9s/LxKX3kEUM3vRI6FxNbVBSv+ku2g7aO7g/pkFibCyU0aTVNLo+anl5fPkg+x7dGxoIvfrYBHctd5Rlx/u6Qw6C2x+FurBYuez6m4uJ3mi4wZuRKK+Wp2oiVVnf9vk+7pOFqbBmyGdz8b3vfY8PfvCDfOADH2Cvvfbipz/9KdlslmXLlk36eRcKBX784x/z17/+lde+9rV++znnnMMXv/jFSf++GFsnLn3sT/zmMeVP+/rwGF8YPp2VFYO9d+zgwg8cEmfJiBEjRgjP+y/CGExd/LxDYNEAlWdXhxfc5WfQMMbnRxZMFJzXqk2KnAiir6A3dqyNBvdtCK2yZmwE64Au4DLgh8DrgU+hUjC3hANrbViU9r7Ly409x5uuHYSuRbC2D+bOaoSuafcck+G1tVAJ8My8TiorB0g2bEiG81cbuDjPrMac1+svJ9sMGmPjtdcw4VY3vUKWBM1xgXQGDoNrxzhwTvjpmz0nQWkEqlVVyh0H5nWB7cDaAdg5yYZHePXx7Y5YNCKbRx1F0iZPy3SryzqmKj2cu5nPum3b3HXXXZx55pl+WzKZ5Oijj2b58uWT3T0AisUit99+O319fTQaQV7pRCLBiSeeOCXfGWPrwX3r7+Nry78KwEeKJS6tfo77Sp3sMSfHxScfGhcuiREjxji8oF/T50ucxxxtP1H2dGKsE+YphFSdA4/kbaJ6FrUivGBsIlnWVWbJTJIGfgYcDhwNPIBKOLIG5T64rwntLpg2kIQRF/ptuHsQsIFOeMoLdnt4BVTT0GzC0yuaPHD3GGVqlBil/9kartNk5d39jFCnQonGc/3QaDL078dx0nls2nBow6aNMSwa6/pJWgbO3ffRwKQxXKIxXCJRKZGkQUK7lq2uZ5Q064OWJGFSn3QVKdJtL1JQp2J7Fwpay78tvPJjm/n8ySM7kwgz4F+lqTguwMjISKg9lUqRSo0vK9zf34/rusyZMyfUPmfOHB555JFJ79/f//533vOe91Aul+no6CChRcPGpDnG+sp6Tr9yCWM0eNVohZHq+7h8eAE792T59SmH0t3euohVjBgxtm88b9KsWy42e1/9W01o+Zu+GT1zMVqSLscL+NvUY2wOJo2IbGIpbN3PLOhE8d7TgHOBW1rs9yoXKHsfQRn+fMX4bd/25WD+a19uwJeHQMvXDPDtg/46br/bjvjChP2u/xtG/3BlqG3skacm3H5T0Dk3TXGdHWrr62vS0QGZDL75eNDjc7PyzDw2u4UwVenh5Jjz588PtX/lK1/h7LPPnvTv21x86lOf4uSTT+ab3/wm2Wx24zvE2G4w5o5xxpUfYr1TZlfb5mXll3Nm8VDmdKT49SmHMrsjvfGDxIgRY7vEJlNTk+C1v/CPqMo8kUAsBNs0N+BpHmZ8Tt2NoGmAa6gf74nyx0bVY1nvYpKhQpVsqG1DcDxy7mJuMhnfKLrZJKU575V1rmrXbzdUMOBLgf9BXf+U9/krcCfwCwPaM2DmgDT8wYb/7YMrj4K2DmAB/PgOuPYx+PO5QCd8/kdQdhN88YcFyl7dw2984Bl6du/k6C8czAh5KmS5/X/vY/Vda3nJLz5GnTQ2bdRJ45JkDIvhi//B6D9vpve3/01Du7ZtL15A/W/X+MubS+p2O6yH+y9fBcz12667uslLX5ZAz4z84ArYqRd684QHJ9HbbBBkbZE+biNWxjptwOSrZnWvjPbKlSvp6Ojw21upzAC9vb0YhsG6deHSk+vWrWPu3Lkt93khWLVqFZ/4xCdiwhxjHL51y1ncO/wEebfBh4s7curgWylk2/j1KYcyvzt+XmLEiDExnhc10Mly9AATHVD2MU1tQ6fFPIRJjNli243YN4LkcWYok0YUrUiynnxOloUoGzghVTtK9jZE2DdYFKLHmw6w0QuqhzYeAfzCm99TO0SDYICT9Ob3bgMrA7v2woX9sPQZ+NyR8OB6+N3t8P3FcOCLVF/O/gwceUKT5deN8dLjk/zrkiGe+88oi//vCAp79zJEgTXMY/CJ69nxLQfTeeAuVMl6af4y3tRgrC3D8NJLSC5aiNmlRkTOE8/gPPY07tp+GtUao/c+SRs25l47kvK43cjDq7DsMvXBCo1SjXX3rqFEhfz+6uxfv2Qu1/z4cf73s8/xjpPTPHhtjUv/0OD3fzNpGo5/7jfdB6/Zf/zlbolJEmNfyBuYqcDUeZrVMTs6OkKkeSJYlsVBBx3ENddcwwknnABAo9Hgmmuu4WMf+9ik9+/YY4/lzjvvZJdddpn0Y8fYevHnR37H71f8g0SzyeeGknxm4COkrTYufP9L2X1Ofrq7FyNGjBmO56U0R+P0hCjohMHUthtBxZy1GV5GAkPbSJ/XPwIDpRJ2a+sGCIgm4+0ZklOhQJEiBVxMP+LfxcDG8vcRYqsXbNAJsz4NuiQhg9Hszq2zCoxTu40JGJp2TgyzUSK3Nyp7xq2oXM0A5wF3adu80rNnrNgRFnZDZydc+So49V44aBn05uCsN8KHggQDHH4IXPBrk3POqvKdLzzDjrunOfMv+5Pbe2eGyFMmT3nVMOtvfZIDf31qcF6RQYK1zx60HbgXld9fTubD7wVgcPEXsG8IcvOuOECl/9pvxSWwsBMXk1tedx6VZ/r9bS464EkAftD8EC4mcxZl+fJlB3LR6Q/z5x9W2WGnJD+8oI2jXmfCoHoqa3X4y03wr7MiF20z+KO8GdFLZaPNb+jNCswM8jzVnubNwRlnnMFJJ53EwQcfzCGHHMIPfvADRkdH+cAHPjDp/Tv++OP5zGc+w8MPP8w+++xDW1v4vdgb3/jGSf/OGDMbD6y/n6/f9g0APjRc43v9Z1JLtvOL9x7EAQu6prl3MWLE2BrwvCQoMzKFgCi0ee2ynEVZTE00lRkCNVkO5Gjt0mZqbaY29dpckxBRjabCCtcCDBQ3B4MsFSpeIKAi0WboWC4GdkNJn9HKgJtS5S1DlSJd5ENm4gBNAxIbuvoRq0obkIcgz7CHD6MyZ7wTpSr/yv9+6DCVraOtk9Ab+n274Ka3oUYyPYzPTgK88Z1t7PvOhVq26a5QQr0H/ucmdnn/4aR2mk3FG5S0QsdZH2P4M98h/cF3k0gm6bn+En+AEy6/XcWhjgW85ukfkaVChioGjmcQKeN6PXAx2fOVszj/nv388t4FLasHJlz4LzhkD3jZ3gQKvv6M6aM6mTci83jP7AbeauiVL6ObzoTY+6n2NG8O3vnOd7J+/XrOOuss1q5dy/7778+//vWvccGBk4EPfvCDAHz1q18dty6RSOBuKO1jjG0OA9UBTr/yQ4zR5KjRKreuO4VnmnP5wTv248g9Zk1392LEiLGVYJNJcxthT7OuKmdQ6puQBp1AgyLO4hE1haSkUekddHIs7bqSHCU3qaDdNVVqMpsUUPeJsSjJECXOBnVSISXZJjVOZbaxcBsa+W4YGEk3ZNVwvSnYIaVZUCJHnjJFCn6bg0GeEkUKFESvjCrsm3BHOjR29hpgLUrN34HAvhEizBvyincDc7xpDzS7odidCfVbh6j2qdkdLDzjyFB2i1b1Fa3jjyb9+HOMrVqPNX+Ov52u8ss1t6i3JHnhsjRGqB962RMDF9cE04C2FPzoo94BZMA1THCNo5wvGpxK8GZE59X6/MbesEx3jmaAOhZNWvuMXwhsGhvfqAU+9rGPTYkdIwo9xVyM7RtOw+EzV3yQdc4oi+wxOtcczd8a+/Kl4/fkhAN2nO7uxYgRYyvCJpPmRCKhcpERJsUZ7yAZrV1ItKzzbRyml8pLvjVNmAiL0qe3t/q9T6lt6ikrYsMICFueEiXyIVIl1cxknSLQ4fIZQpiNpDuOOAPYSQsL27dnRC0cup86TNzVSQ9RoIsiA905eihPnFO5BXy1GZTirL6QD3uzHdrd9AmzoANFnjsJ1GXdDjIBwsp98AX7fuooL0jQCJ1fQHCDgUn2tFNwGwZ2Q6n2auChzC2yjeMNYEyPTMt9S2lEWv/kKfnXWba3XFuRZhMWvw01+NKftyjkeTO96ylkuq7mTROqdfXcZp2gIqCem7mN8eS41ZuY6cJMUpqnC7VajXQ6zoiwveIHt57DHcOPk200OH7Nzpw79noW/9ciFr889rvHiBFj87DJFQEtwyBDoGTqAWk6L9GJcwbIpD1S7RFgPytBlAx7RBgICHO715bSlr39W2XOsLF85dnBoO7ZLuqkqJD1ybQo0fpHSFvdVj4Gt2HgOOpTr6X8+eD7AqtHUK8u3B+ZF0QDstzNYVUe6W3zPvl29dmxU5FlUZbl4xPmTsYTZh0t+hD1Z7caAAhZ1c8xup8MQKKDD/2aBIMaM/QmQP9OIdnR75N5m5T3tsGDPDP6+UXeUpBG2YN0y4/sOwH0uHqxIQGh/xfRtyzJxOYMiyYfrQYck/WZyXBdl6997WvsuOOO5HI5nnpKpTn88pe/zC9+8YuN7B1jW8EVT/yNXz75FwA+tL6N71WW8Pp95/GF1+254R1jxIgRowU2mTQb6XRAhCMfQZRQ+9O05mdOochbKjKPth4C8jJAQILEuuEdq45FgSJ1zxVbJ4Xttdke+VJEOoONRZaqT27rHnFW+1nYpKjYGVKW7RNl1zGxaylcx8B1TFzHpG5b2A3Z1/IIm+V9V8r73nDAYStbQT89FDtyOLO985lNWAGWaQ+BvUIjv20RAt09L9zmk+QOxtszot8xW32c2TDQnaOfHvrpZcD/9PifIgV/WqSLIQqUyONiaPMB4W018FCqszV+EBF5KxANrFQDIMu/f0D4GhsGVk0NqPxnydGeNTMyH33mIhaNNjMokCKCdJQgS3sbrYmzOc2kubGZRHhTP88nEHBL4hvf+AYXXXQR3/nOd7CswNC/9957c8EFF0xjz2JsKTw19CRfvkUln39Xsc7PB89gv0Vz+e479iOZnN7/lzFixNg6sclaZ6a7G8oqqK0VOW6luoEiHdU6tLXD2KiaAkFKjXZtvtNbFojvORVZlwI7ja8uCnGteOnOAJ94lchjkyJHibI3LwS34oWb2aSUn9YyqNuWR5ANXE9ZdsbU1GxzMUwD13RxTAOsQD3eWDXBKHkuMKRUVhPMblSGkOghJEBvInOs196mXzO5EZIFTAizkG+dME8idA90yc6FrqGVtv15w3RxHRPDdLAtCwuQnNdieal7/mZR/1OeHUYfnLhaPgsZ+IQQ9YfLwKtOWE1Oe20pbarNm473fJtQrQW7iQVJRxtBpg1Zn5pmW4CDQWIKCO6mVs+cLlx88cWcf/75vPrVr2bJkiV++3777TclFQhjzCyMjo1y2j/fT5UGh1Rr3L32Q7TPWsDPTzyYlDmzn90YMWLMXGwyaU7vtBOJZ58FwqQgOpW3/2LNAE+tS3sKXBpFfvUKd+1au6SXE0KtQwIE0zCU7cTWiJKQpgJDFOny1Wcg5G+uYzFAj6cSK/VZnVM2RJjrVYtGPQWmC44BpqsqMI8ZpDKqGp1tWlhJ2yd5UTWuTooMFX8atm94HudsJ11zhluHag0wMbndUPC/QUCW9WnUx6yp2/U5qi9KSe71SXDUahKdF/VXtQUKs45yMU/SCJi/XL86gCWltJXHWewWLlXf4yzXFwJlWVeibU/xr2Nhp6tYMtASQjxKazuQTpTTBFkz9JLbKMI85l1vGRDqnv3o/4PQoLF7kkcnmwl7igIBxzb4AE4/Vq1axW677TauvdFoMDY2E5IBxpgqNJtNvnzlR1gxVmSO49C7+tXc174/l37gEDqzMyGnTYwYMbZWbDJp7jruOIq33gq0Vpr18gYd7TAyGqjMHcIbhBi3a8tCXAQ6gdZIsq46j3RbIfVYbBJ5SvQxxydRJXKh1/i69zWFIm6qIqDpE+ZKKaPIsqORP2++4ZHnelURv3otpfqVBBvbD4GzvG+TtHMT2RCAIFWabBL1HG+IOG8IusIMYcLcTUCYUYS5Ffo1G0bRs16UyHlTla/ZwqZIl0943YYRGni0QrWcJZNTYXVCnAHf2Syk2MDBou7dN/WvqMqWPw0eHpsU9ZSl5lzUM6Spwz6JrnvrZF78zeXItq6XGWM0sGlUa+Gg1wHUskOYLOMtF444ovXF3UJwMUhOgSo80z3Ne+21FzfddBM777xzqP2Pf/wjBxxwwDT1KsaWwK/u/hFX9d+D2Wzy+jU78dPmG7nkpJfG1f5ixIjxgrHJpHnWhz5E/ctf9pfl1XQHyl0h8xLo19EesQ20Upc1uwWzJ9hGX6eh4BYpGgUqZClS8HMuC6kqUvCJ9AC91En5ZC8g0soHXbJzVMtZ7JpGlkVhrnkn5JhexKNJI21QdU2sdN1bJVaN8cVNVJaH8bmiAQaEtWahlwFF5/u8lbN5/tCJd3ekLUKY5Xv6s2G/8qZCzqFoF7BrKaXQuybULEjbwYCjZqlraiqFslrMY+UqWGnFWy3L9omyno5OV5slc4iQ6CpZ8l7uZnlzUDEyakAkajMEAy4h0UKU21Fp6Gix3WjQJgS5WldvT1rZNKKEWf5/9L73vZt8LacC26s946yzzuKkk05i1apVNBoN/vznP/Poo49y8cUX849//GO6uxdjinD3qn/zvQd+Dgl4b3+Sn45+lB+85wD2n1+Y7q7FiBFjG8Amk+Zkby9NglzNUjzDNIFaoC7n26E0Ct2e0tkmyjEoMjKbQF0WciKkeBilkM4GcijlT8iyt250dpKKkSHrVqmg8glXyfq2jCoZqmSpeIRKeZqVt7mikawiBepYVBsZnzBb6boizjULnESgUo4r962SAdtes5VG+aFJYeBiY4cC1OT7dDgY9DIQUuzqPZqLYIDWxFn60oGyskRhEsj+JmGyDOMIc71HEeYBejC0V+79nkVD/5TIE+SpHp89Yxz6U0Gfc6iBh2n4xFngOiYlcp5VQ63LeAnexOZiITYYO2R/Ec8zqJzdFjb1lOW3+eRYuigeerRlsW/oA7NRxg3i/Dcn7WpadYJLHbWdC4nOvva1TCcakYHaZB53JuNNb3oTf//73/nqV79Ke3s7Z511FgceeCB///vfOeaYY6a7ezGmAP3Vfj59zam4CTi6XOdP/Wdyxuv25bV77zDdXYsRI8Y2gk0nzckkeQMk6HjEYwmOA3mPFIu6nAdFfocJyIiQYwh8pFHPsq4+C4EWm8YCld2hmsqSr5copfyMxX6eZtvzMecpUSHrE2UJ+BMSLWpzuZGnXkthpT2Pci0F5ZRiQDXvYxCkJhPUADMBWD5xNkwHw3IpBZmUvVMNcknrfuciqmyrTziz0FsZCBNnGO9d3pSKGXphGF1pNgiyZRAQZsEAPZ4lo0vLkFEIkekBevxrWCJPxc5g11JegJ8RqMxOJDrdtz4kIGeC2VTXG7xAQdMbeARvAZTlpeLbNQKbRmDJUES5ToYKFnUqZChQpNkOCSG+cj8F8jzKOsmwMRpZJ1PU/m3twZuUah0yXt7xOWko1VSBE93fnABMc3rJpU0bjWiQ5CTAmRFFwjeMl7/85Vx11VXT3Y0YWwBOw+Fzl72P9U2bXewx1q1+L6946UF8MM7FHCNGjEnE5v2iJxPks14NOE9NHhwOVOY2j//5toxOFFHTDc9CRjq15XmEScqw1zabcenSCiNlih05qmQZoNe3ZVTI0k8PFU/jk0ImoijrqrOtEeZUus7Q+oIie8UUfq1or8AFLgFRlTbwAsc84uwYOGMGdiZFvqPkp6PLeIR4SFOZx3mZCds0wLNqbCRjxgYhRFlXmmeHpzphlnRyQxPYMmSdOY7BByj3F5SVpYZijC7BGwYpm+dvjBp01FLY3lf6AxfPjiGqtoFLlgoGLhWyfpvYXmwsqmRJYftvESpGBqPdIWU2MKXs+ADq2XIJ7qmkpBOLhjy30Ws8SmDd8CBvVDragyBBvVJj1K4xXVBvA7Y/e8Yuu+zCHXfcQU9POEigWCxy4IEH+nmbY2wb+N+bzuL20ZVkGg32Xn0wT+38Gr52wt6qKFeMGDFiTBI2izSnezuhUgQUaYDAhtHRTkCSdaVOzzE8h0BGjarPsk9UffayaTRnQ6kjQ36kSoUs65gTUo8H6PE9riXy9NNLiZyfIWOAHmxSvv/ZStqqqmAtpQL/yh7h02sii0Kp2zNkKpaDYgLSJg3AbXMpjeTJdFT8fMU2KQoUQ8VPBuiZ0NLQwwD92R565wyAdrlCZeg2BJ0j6EqzN61768WSIf0RwiyZM6StqJFluaYl8pQbeSrlLNVyNpQZI4Sidp2iAw5BTan1zphBKl1X9wWVUUPSCBo45AkXsQksGyk/+LLq2TOqZDFTLqm6FtkXJcy6lzmqLkch3vphr+/DwRsVxzv1fFrNS1XGEQfS1vRbGFxMElNgpZgKy8dk4umnn8Z1xw/y6vU6q1atmoYexZgq3PjkZfz86b8D8Na+Tq7Insyf33sgbcYmlyGIESNGjE3CZv3ymfsfALdeFzS0IhuStaAjso2wP/EyyzqxcUgxDmnX13nbFwarFLsDDS9PmRI5X10Wwlz1JNu85wkQj7NKNZciS4Vio6BIXzEPRS/IL40iekXCJDV6lfQ2E49km9hOHqtQomgXyFtlXIyQXUO8wL30hzzOPfQz5NkgfCtEFuaMDOD0gNlHQIZ1fir5nYm0Sb/At2U4PaoC4VC2ExdzQsLcKhBQ/M1K/R1PkBsD7UqhF3W5HulnP8FAo4BSmlN46nMCnBSNtBHKRqJS9VkYuFRxqVD1lWRAI9NlrU2RZlGlC5RppiAhNgz9Wm1IVe4keJ5HUc+ynuGlE2XX6IG2MmRc9aalu9MrE+/tl9p/73HXaktDiptMxXFnIv72t7/581dccQWdncGrKtd1ueaaa1i4cOE09CzGVGD1yErOvPkLALxu2OWv1c/wq1MPoZCdfEtSjBgxYmweaT77m5hvPyzcqBNgPZUGhInzbBQhElIiFowoUR712hcE+zc7ITEMIwssT2WeTdUjyn3M8b3LoNKkKeKs1lfJ0k8vtmfRAFg9Mi/Iw1wzg1fvRYJX8Nqr9pAn1iAoBSdEW/Y3E15AoU3RKWBnrZCXGYKAwF76gcCa0UM//f78gPISdzjetsOImJuQ/gh6UNYDmRdIufFuRZb7OwLyIF5lYBxhFuiBgDrxH6CXUiWvUvONtkjhtJbAJzwGEYu3usZSeES3cACVUkYVlMlBNZn1gwEBTXWO5iJROUuERIt1A9SbicJgVfVFcoDrPuaJVGVpl0tW05brBBk2NCGzI/KGJN8OiW99p8UXbFm4U2TPmKkp50444QQAEokEJ510UmhdW1sbCxcu5Lvf/e409CzGZGPMHePTl53ICA32qtnc3/dxvn3Sf7HrrNx0dy3GDECj0cC27Y1vGGO7QFtbG4bxwn+3No80H/IymhlIyFsvnQDrNowe78hlbT0EZCNa1rmTwNesYwSa86HSniRLg5Kh8gSXyfs5moGAJEWWyx6ZrpIh41k0pOBJKmNTBxoA/abqa9H73jIBEdYDyCDI6SvkWSAk0UlRdgwyhSBLh04wJGgxCj3YTuZF1TU7gnU9nrKa0N88R3I7N7XnYqA75/cDCKnMEvTnYoQUZp0w+8eRAMCRPIae/WJ9IiCSct10rEU9C/I7Jk9cUZvPeStSSs6tlLNkOqre5m5IgTc9UqxKqCtFOUeJKlm6KFIl4795MHAxOl06hr0/nPqzKGqy/izqKrPkce5GDQRlkJQi/EzkCA1i2oAx7zvMo6Y/S0OdNowpCAR0mZk/Ro1GA4BFixZxxx130NvbO809ijFV+N41p/GAPUCH69K16lhee9zxvHz3WdPdrRgzALZts2LFCv/vQYwYAIVCgblz576gWIfNNyYmEoAXDKjbMERlFsLmoIiwkKgoudaJshAZIS0LCKnW2dEGlfYkVTLkKVP1iKfyNSu1cx1zfL8tKMLc7wUKZqh6ZCrLwEiPX3SjMZpVnuQinlJMUBWuSGDDcLT5MmGltOado5DCDFA0qToFXMcgXyhBMkyedeIsVg0D11OYu3wPsU4UBUa3t66FX1PgGkEquCIFnEi2Dr3Nz7McIcwCP+Vco0CpqAhzub+gLC1lxouYct1q2jVRB1bXLK19ZHvUPo20youRythUGxlIqmuQiRSsFi+7QM/XDGrw5A+kjDz5TiXF+/9N9MA/XVXW501vu+igSdYPo55RuQ2aR7qtE5zK+N2mA+64euKTedyZixUrVkx3F2JMIa56+Lf8es2NAByzbieq+y7m/YcvnN5OxZgRaDabrFmzBsMwmD9/Pslk7G3f3tFsNqlUKvT1qUIYO+zw/NNQbvYvX2JuL9TWqwUhCjpxFpVZV5ejpZwHUYQZFFFZQDhPM/gqc6lTEdw+Y3bIJiAp5cTHDIGH+Ul2C63vYzb99FJtZMh6leiq/YVAJRUyV0QRQSHCjresk2eBqe1XRqnMUhquoDaxi3mGxgyYBYVkMdR/Ic6iJutqqt6mL+ttGGF1WqCr2i4GQxRwMUOkXdpEXY5uV/QtGz3jUuhV+wtqoCFPzgCByix2FUGRIBBQINvJ9dKfwLJJwzGog3+fAN9qE/J8E9zvAkX/focVabW+0p4kO6opDrq6LN8vAza5r7p1Yzbq2awTvD2B8POg++9HwZwXfW0yPdje7Bk6rrnmGq655hr6+vrGKU7Lli2bpl7FeKFYOfQkZ91+LiTg9UMJ/tP5BS4+4SVxpowYADiOQ6VSYd68eWSzcRXIGAqZjGfp7etj9uzZz9uqsfly0QFHwPK/KPIrQWdCdoUoO8B8FIEa0NZJpoxuAiVZuIWQFiHV81Vzftj2ibMQ5NXMCxFmtayYmQQBZj0/rPidq40MmWSVgZEeRfzKiSAv2DpUmjRJLQaK8IUFzkB1FEKt+5pFhRYiNZaALmgMtzMEIeIcJbtzWBfKh+zbMjTFOdom7VHoZMbxVGVRBQOFOSDIEPiao4RZ0swVGwWVlm+4HUzvLUO/d74yyJAnqZ/W5FlIsrQPE3iaa9o+5QQNslQytiLbmkjgp5TzUs+VyI0LBAwr0F6AqFmi1Al57PFqMwQDvQ2RZQhXMpnnrYsGEop/eveZkR+2MUWkeaYGAgrOOeccvvrVr3LwwQezww47xIRqG0HdrfOpy99HOdFkn9oY/xn9Euef8jJS5sx+HmNsOUjWHMuKg0FjhCGDqLGxsS1Imj/5bXjkL+E2XUmOeph7tHUStCYqcweBRWMEWIRPovXgv9XGDpTI00VxHGGWoL88ZfqYHbJs9DHbL26SSVb96n+UE5BrKqV5AEX8JC1aETTeFSjRevaEVkGBup+3SECmWhBnIaY9DFAiHyrWMZs+30ohBNnS/KObQ5r76fXborYMyezhYlAm75Np6ZsozCHCDOqaDRPYVAT/n70zD2+jOvf/R4slS5ZseYntODEkQAoEwtKEQAgtUMJWSFluuUBpgUJp4RcKYWtZCpS2aaBAC6UtlNsWuJcGaFoghVIgpEDZlwQIgRK2BEISO7Fj2bIlS9ZIvz/OnJkzIzlOgh1v5/M882jmzKIzR0r8nVff877xIttyDNRIcxtO8SyvU4oYd/NBJtUpPkPpbVb7JB+I5AOSOxqujk3U8WGalCPuoYpCoQziuxp0tZsZMxiL+K4Wy7LXiHjgaweuv7fIAdufLD68o1A033HHHdx9991861vfGuyuaPqRG584j/9kO4gZBiXrT+Qn3zmW2mhp3ydqRh36QVnjpj++E1svmnf8gniVQlmNMqviWQpkd5S5WmlTLRrl9np2BzPzASkSPntyn4yIuiPOIVJsQNg31Agz2AKrNVdNa1ONqPhXCjQpXmZpsZAT/0pwTgLM4ow6S6EMdsq5KHakWa1qCJgamLaNMYdwLma/UAWyFNOyzWcW/YjRttlCIzIftBTFILJPuK0abmuGJZRND7PssyWY28x7ajPHII4z0hzH9n+7I81uZIDYLZ7BIbKltzlM0nw4ShRElFUPczHkd4iKhD0psApntLkKrKCsrFgpf/2QKfTKcHqcG5RrqNeqAHbZq9f+bE8yBPA6a0z2C7khOhFQkslkOPDAAwe7G5p+5Im37+GBja8BcGDTJKbP/n/sNT42uJ3SaDSjim2bzVMhCwVjC2SwhbIqkKWFwy2e1ah0AwWTAqMdIidznBgx4qxjLJ1ErW0ZZY6SYB1jlfUGkoQtHzMI4ZXsDBOKJEl1BoWFQIplsHMzy0inFIISWeFOombPUCOO0u4hI5SmWKYNcqaSTpQY9mQ+ZfJfDS0kiFoCuVrJ5ez28hbLlexGtV/ISLOMKItbjpldizm2E0T7FsziBKfQjSPGTNowWpTOSBGsRm5l5hHpGy9VjgmJ3M0ovuYkYesBSG73PQY+q6iMtHHkK0QKPn8a8f2UFiJpzSkF1pkXqMbO+LJBubCMKLs9zSC+76mhE+Ew8JEfhZHm73znOyxYsICrr756sLui6QfWbPqAa5feBB44us1P2R4/4b+mjh/sbmk0mlHGtonmvQ+HT8wiAjLCpgpnKYbl1VXh7LZouFJ+dU30kgqGiXV0OiKfMs1clARraLSijesY66gEKMVViBQ1tNBCDSFvCiKYkWZsgdaCM3OGjJ5K8SzFsoyeqkjLRhDbD6tGT4vlAB6TJxOPkjBTtvnKDQJmNFkKYSmaA6QL7Bm9eZ5VpCiWkWM7YZuwY2Tx0UqNo83AT5KQXTGxM4yR9RUKZuVzsu5VHT+UNscEP/NVFc/SBy7berBtMuY50qKhepuThAiTsvq+uQizRBzXSdwXw6hKEO1wmdXdYllaMdT0chXY0eZiYlnSDuy1R5992l4YOR/53ACI5gG4Zn/S3d3NnXfeyVNPPcVee+1FSUmJY/8vf/nLQeqZZmvJGBku+cfpdHlgz+4s7YGfMe/YKYPdLY1GMwrZtlwsF/7ZyjpHBcJaUe46pgLhUa42lyy2eJZt3VgTCvNV9qmhdJLV5eOJE7OEcZspnFXbhVwPKZYMa+IfIZGGLhMhkYnQ+lmdsGZEEOKsBSGKg2bf2nCK506EuJOT1Hpci1ogQ06Iy2JHYKWwkpHZdkTWCUQGCp/fIJGMWn3uNBd1W67LAiNqsZEEUdqIFSyJIuep22pE2X6fiH1chxjTTDwq7kMVzHI9bm7L+0a5b/mwkFAWlONTrnPlebiOA+gM2sLZ2mV/B+R9pAg77sFdlEWNulvITBkVrrYg9vdUtpW52mR7tbKo7fOeZ6hgZH1kB2AxskNbNC9fvpx99tkHr9fLihUreOONNxyLZvhw8+Pf4z+5TmKGQWTTacw7/ShdIlszInnmmWccFUvd20OV1tZWamtrWb169Tadf8oppxQUnSp270NhPLYt0hyKQMQDQVM5b8LOiCEzEcgqdd1AnbnujjJX222eLmjbReRSjqWF0gyTtMROlASf0kgnUWLEWcmuZr7eTt7nC1bKsTBJp785AK2bqmG9eauyEIcabZY+5jR2OWhJD/Z5KmqqOtXKIf3RYI9uCSINXRzwC+HcGReCLlgqLhz0imiyFHpB0kpkWcaFZSq6WJ+eZtWj7I40i8hy2KyyFyZNgM5clHS3KVKzPkvgWyK4jeIRZijMoOHO3yyFc9S8hloJUEaYVQ+0fCCJAFkfiXiUbMRHOGA/KLntGr3RaXreJa1UY5THCQWTlMk0dFXYpd43Z82Q0WYoLF8uf10JeKDMHX4ePDLdATyB/vc057vd/yCGFk8//fRgd0HTDyxZfg8LWl4HYHrz7nzztDnURPr/+6zRDCcOPvhg/v1vkae8pKSEnXfemauvvppvfOMbg9KfefPmcdxxx22zoP3Rj37El7/8Zb7zne9QUTF0/n4WY9srFIzfFzYuE+tVOMs5Z4FJOMWzHAdFKDvEs0mYJGuCjVZmhCRh4lQSM0O2ERKWkA6TslLNSQHVbJbVjpKgmTpaN1WT6QzD2KwQzvL/W2nNiGPnaFbFs/oLvtQHxdKLgRCIbnuG9PtGcNoV/EANIuqN8A3X1LVaYlDaNQpFc9YSypsTzKJbQrGmCFki2cBHkjAGPtIESRAhQ5AEUTK5ANmsj2QiJPql5l2Wr6pgVj3fqq9ZzWmdVtblmCewvcxSLFe4zpW+cBBCXclB7p7oaVhWFNu3LCc3yomjIZIkiFgPDqrQzleJhzVHpgxVLG9OQMvUiGrp+AqgamhVJDOyPjwDEBXOD9FI84knntjnMR6Ph7/97W/boTeaz8O6to+4eulN4IVZbQH2+8pN7LtDZd8najQjmHw+zxtvvMFNN93EaaedRiqV4te//jWnn346M2bMYOLEidu1P8lkkj/+8Y888cQT23yNPffck5133pl7772XOXPm9GPv+p9tF83fuA/+b1e7zJqat1lG4VTxLNulCFK8z/kGyJQ6U4eFSLKeBmLEMfCxhh0cuZjlsQnl53o5ARCEeE5mQoTMyWSZpnJb/Mocw9KLLHMLq7mW1QwaMtrsRh4j709OIgTbBqIK5xqzTYrIMXlyXWGSSaHQq8MtysNCyhLNqr8ZcIhpFXdhEzWyrKaYSxMQYpkgyUwII+sn0x0QFRKlUJb3LrflfalZRVS7hSqS5ZhJgdyFLZ7lWJaa+7sQUXj5ABI3x8vKquEng5jEmcyEIFA8jZyIrEcsv3OcGBHXceqYhINhMsEElV3mDfQmluV3pltpUx+esggbUivi+33+4oK+DSbZrA9Pz+gRzUM9SqHZMnpyPVzy6LdIeGG3boOKuus5Zf/tKwY0I4N8Pk+qZ/OBpoEiVOLr99R3H3zwAYlEgqOOOor6+noAzj77bG655RZWrly53UXzY489RjAY5IADDnC0n3feebz99ts8/3yhXXH8+PGcf/75XH755Vbb7Nmzuf/++0ewaK79gvA1yyixtGhAYZRZiik1Ii0tGxUQrwoR25QiGRaT0WJmPmZAiSoL8buOsURJECZJM3XmBMAIG8z1alpppdqyZjQ315JrLRNRzqD53qo1Q/qaZXQ1RWHKOaBocFdm0VDzOEdxCumEsi6v144Q0N3iH1MyIcKr4XBYEcoZxY6RNWWv067RG2pUWUZh5WQ/Az8ZAg7B3BmPCktGt0f0VwpkWQ5bjouBM9qsCmY5bvI4n3K/shiMTEWnRpt7+wbK9zGfoxJtUaKVZmls62HAZ3nbQ6QsS0qYpJV3WorojPmdSRO0PPAA6WoImGLZUyyyvF5pk2JZRpsn4rRpVANjh0aqOUne8JM3tv2fea8MxDX7gbvuumuwu6DpB379+P9jRS5BxMgxLvUtLj/rK4PdJc0wJdVjMPmabY+Cfh7e/cmRhAP9+3/l0qVLqaysZPLkyQB89tlnXHXVVQSDQfbaa/v//XnuueeYOnWqo+2dd97hzjvv5Lnnnit6zu67786bb77paJs+fTrz5s0jnU4TDA5dC9bnm00xZgd73T1RKotzopTcRrzmq4C0EC0ghDOIqOpqJhAnRogUn9JoCee4MhkwoUxgS5kFTMQkwJC9PxkV0dNS03stszYkEIJZFtpIIwRcEHsSoBRI3dhRVPcCQiCq4lGKbRllTivrcewqgk32di4dJJcOkkyGSSRFxUB5H0EyQuCa92gvoc0scizC5qRIMVEuZZ1nCuqsXwj27gB0+kW/5L12YlsopPhVX92CWd0v29UxVKP1PcqxKWwB7k71l4UiQeWiyF8hZDRZrNu+bqBgMmAztbSFlchkBeL7oQYrpVe/ytXmphqIDcGSrVnfwC0azQDwwrsPcPfGlwE4sHVXLjn9QkpL9PdNowFYtmwZ7e3tRKNRQqEQjY2NLF68mDvuuIOGBhFszOfzHHHEEdY5J5xwApWVlXz96193XOvRRx9l1113ZdKkSfzhD3/oc19LSwunnHKK47hPPvnEel/JjTfeyH777ddrrvyqqiqampocbQ0NDWQymYL2vli0aBFz587dqnM+D5/vEeiAn8LKM2yLRivOTAJViKhcLXbO5k1YXuZ8FbSFK6hMtrMyLCbzSe+yOgkwRNJKMxciRadZ2ARE5HmDGbZupo5WswPJZJhwOEmyLESuuUwI5jJEyew0dsQzju1lVie0qeJNpVjqOQOnQIxgR2nlMapIBBiDYoEQH0MmIsp+ZsIBfPjwYdBMXUExE9XfXLyLTk8zQIYgaYIi6poLkDAnIubSQRFhlkJfWjLU1x5sEawKXvW+1dR8ss2vrKuRZ1n8RabsszsukILdyqPtJxfxiR8L6jJmZNn2Nku7htvzHFaM6S1UU4nPLIRTR4y45R+PV4UIJ1NQCkG3NSOC+M7INvfnr1qSDr2SIUfaDyUDEBVOD81Is2Z4s7FjDZe/8jPwwpfbS5h97G9prBqCD6OaYUOoxMe7Pzly0N67v1m2bBlz5szhggsuIB6Pc+mllzJz5kzOPPNM65jXX3/dMSnvwgsv5KyzzuKee+6x2rLZLBdffDFPP/00FRUVTJ06lRNOOIHq6upe99XU1LB27Vq6urooKxN/yFOpFKWlpY7rPvjgg44c+d/73veYPn06Z599NgCJRIJQSJ3AhLWdTPY9wV9FZkraXny+SPOup9up58BZzERaMSbh9DtXQUdVAI9hR5dltC9simM1ZVinEikMm5O6QqSoM5VMmBS11nqSatMTEg4nSSbDItIsszM0Y9sximV88CPEnbSTyOioPKbYRMCseY48Vo0yyywdqpjswmn/SCGiqaV5Mt1BMt0i4pzJBUjlQvjIWpH0NEHLdiC33YvIiiEm+qUJkiFonZ8hQCYXIGmmcct0hqHb7xT4svqhKpylIJbiGbOtmHh2+31RjpHIiLz7Ou5z3KnoFBKOXxwKU/PJKHMr1aQJmG8bLIg2bzAnjgIkwyHxC4hasAfXutrmfkCcelXvHR4siv1C0l+LRtOP5PI5Llv0DeJe2CltsPtOv+KQ3cf2faJGsxk8Hg/hgH9QloEo5b1s2TIOPPBAdtllF6ZNm8bvfvc7brjhBke6t0ceeYTZs2db24cccgjRaNRxnVdffZU99tiDcePGEYlEOProo3nyySf73Hf44Ydb6wA1NTW0tbVZ2x999BGJRIIpU0Qu9Vwux8KFCx3vv3z5csteItm0SXgdx4zZusn0y5cv5/3332fmzJnstNNOrFixYqvO31o+f7LLihm2KHYLZhmhMyBrRumkHaOjKkCcGEEyjvzBgJnxIEqQNGmCDiEdp9KRkxeKCKgOsXQ2VYty2WBHgEFExKWglcLZjxCvUhSmsKOrUjyCnadZIkWl3KemofNhe5rVtGpxs73UfI80kPUIm0R3ACPrI90dJN0dtCLEaQKWF1ksAVKESBEqWJeFSjIESBMwxXMAIyeua2R9ZLqD5s/s2It8kHAXdJHrqnhWx0MdC1ztboGlHq/aOmRObPd11KwdiF8QQFgv7Ld1ToDcHBnE966ZWjJmmDtJyGnTANIyN7O0ZuyE8zsukcK5MsKQRItmzTDh909exNJcnNJcjj2yp3HeV7882F3SaIYUH3/8MfF4nD333NNqmzx5MjvvvDMLFiyw2p566ilmzZq12WutW7eOcePGWdvjxo1j7dq1fe6bPXs2jzzyiLVv33335d1337W24/E4AJGI+Jv4xBNP0NbWZkWjX375ZdauXcsJJ5zg6M+KFSsYP348NTU1fQ+EwvLly5kwYQIvvPACF1xwAYsWLdqq87eWzy+aZzxoTwhUPcu1kN/dWbQkWy2iysF0hrhPiGDhX64kYInnSuJm/Wm7kIldAU7YNipZRwMGPtbRQKfZLnP3hiNJkW+4NAP1ZihcpoGTvmYojASHsC0FJTjTxEGhLxecFgRZVlsKa4NC24KaI3qjq73TA6UZ0ikhnI2snaHZwG9Fkn0YVmQ5a2bDUKPNGVNky3UDnyWYM90Bsj0+U6B7nGJZFcRZ1zbKa18TkXtcr+q5m1sHWzi7Kyp2esh1hemM2wVYVP+ymwQRWqm2fPCt1FgPZml6n2SwpqqWjqqAs9F9v+qvJ/IB8ZB/9XrNQUWL5gHht7/9LRMmTKC0tJT999+fV199tddj7777bjwej2NRf87UwJsf/pPfr18CwMGbduKS0y/F5x065eg1mqHA0qVLKSkp4Qtf+IKj/bDDDuOhhx4ChPXB7/cX2B/6i3333ddRIOrII4/knXfesaLNO+64Ix6Ph/vuu4833niDSy+9lGOOOYZFixbxxhtvcO655zJr1iwOOuggx3Wfe+45hw97S0ilUhiGwXe/+10Aenp6iMVin+8G++Dzi+ZgPUQUkWEKZ88Gu6ltlxDxcvHUESfGqvCOxIlZVoogaeLECJAhSchad0egZaYEYcNosdqyZraIMElac9UkO0WKMjqDItIsU6alEH5aVbiqNg1pS5DWDBm0LCYQSpR90tfcF2pGDgORGcItRLoD5Aw/6VRALBlhqcgQsAR0Bns7owpjc1+agJVmTnqYZRW3bI9P+JizHqcVQ96LW+Qbyni4baxqNPnzol6jVz+5/Uc0lbP/Q+gkaj5sCXtGC9VWFFnmpQYRZXZPDJR5wNfTUGDdyFaYv5CY5CdR3KpRA1Ts1/c9Dgbq5NT+XAawtsm8efM48MADCYfDA/4f4LbwwAMPcPHFF3PttdeybNky9t57b4488kg2bNjQ6znl5eWsX7/eWj755JPt2OOhTUeylUv//UMMj4f9Ez5OOeEPVOsCJhpNAcuWLWPSpEkEAs7AzqxZs1i6dCmfffYZ0WiUdDpNJpPZ7LUaGhqs6DHA2rVrrQl9m9v37rvvOqwVU6ZM4Ytf/CJ/+ctfAKivr2fevHnce++9HH300VxyySXMmzePJUuW8KUvfYndd9/dOlbS3d3Nww8/zDnnnLNV47FixQqmTZtmbb/99tvsscceW3WNraV/apFWn1VYUtglLnwYlnAGZ5YMNTuG3LeGRiWyHOvVjqFeL0GURDxqR5pVS0Q3IpIsI80ysqrul0JY2gakYJRisURZcO2TlJrnhczrR8xXmaM4glM8yz6oto+sELbBUAYj6xeCNyfErw+DrJlGLq0IaZl/Wc3LLCPMQjALIZ6TqcLc0cJiwlf1afd2TDHUMeqNYtdyt8mMGr14m+Xnn1WKlkj/MmzeqrGuiEi29vnGOuwaeVeZd8D5XR9zWK/vM+gMw0hzJpPhpJNO4rzzzhu4N/kc/PKXv+Scc87h29/+NpMnT+aOO+4gHA7zpz/9qddzPB4P9fX11lJXV9frsaOJfD7PlQ+dQrMvT0OPwUGTbmLaTnpsNJpizJ8/n3feeaeg/cQTTySXyzF+/HhAeJifeeaZzV5r+vTprFixgrVr19LZ2ck///lPjjzyyD73uf3SANdccw233noruZyosnvFFVfQ3t5OU1MTZ511FnvvvTerV6+ms7OT++67j8pKZ5Giu+66i+nTpxfkeu6L5cuXW95pEKJZ3R4I+kc0N94OOWW72jnZTwpjKedUfBi0EbOizSoy2izz60oRLdPMqespwlYxk0Q8KqLMUqBKra5GmmWKORl19ittUvDJSYHQe54Rv3JssSIoasTWUI4vo7gAUaKphpLWK5s1xa81in7z8j5rAdvrqwpmx7VkurBi99PbhEc/zgcFd1tvuM/ZEtTsHCqbEc/FcEeUZZS5mTqSZtlBEWWOkTJ/3RAZWuwIdrw8QqI8ZE1YBQonAFYDuzy15R3b3gxD0Xzddddx0UUXDfh/fttCJpNh6dKlDr+g1+tl1qxZvPTSS72e19nZyY477khjYyPHHXdc0T98Kul0mo6ODscyErnv2et4NtuEP5/nAOMEzjhiCD+AajTDBLfveNasWZx00kk89thjjB8/npdeegm/38/NN9/MoYceyj777MMll1xCdbX447a5fY8//jhHHXWU4/2OOeYYvvvd7zqi01tDSUkJt91221afp4rmbDZLPB63+jlQ9F/eKN+BdFS+bm3GfTHiY5zRvjgx2ohRSZwWaqx0YdLHLMsfSy+qeh4IEb2OBprNFHMZAmZxkyjrMmKWdcq0ZmRayu1IcwtCMIcQk/CyyrrM25zFzmqhRp9Vz7I6Wuq6D6ddQ0aXyxAisJLiVo8UIvWc+1MwBW62x4fPL9aDpeL3cDmePgzHZDgVeYwtmIscJ/3K8l6kEJLFWsApitWx8GHbUUootKZklWP7etiQUXj3PllcxE1nkFTWR6A0TRZRITCs+N1ThK2HijBJWqixiuEkCROg+E9W7mIxMmuLtBDJAjwW1UArGOXlfUw9HGQGSuCOUk9zS0sLhmEURIrr6up47733ip6z66678qc//Ym99tqL9vZ2brrpJg488EDeeecdKzLkZv78+Vx33XX93v+hxEefvcwvV/0VvB4OaR/Lxd/98YBkG9BoRhszZsxw5C5+6qnigZ2vfe1rfO1rX9vifS0tLfj9/qK2uc+TK/k73/nONp136623Wut+v59Vq1Ztcx+2lP6JNAP5qkWQzwux7IsRM+KAactQ7BdxYqwybRk+DEdE0IfBGhpZQ6MVGQyQsQqZSGS6uQAZK3IYC4j3C0lrBjitEFIkS2TqORkFlhYJNbosxbPbhuEWglJclmELQNWmIVWV/EUigm1hkO+VNo9V36Zk81X/+mr3+w38ftc1ZMRZRoqlN9UtlKVIltFxH/bYlOAU1z7XNdRXdV3mxt5clFvd3kLfbFaZEJjuxcusPoSpaQzX0UCb4wHN/tlIpq+Ti5wkKJd8DTDm31vWycHC7VHvr8X8Wrmjoen0AJqdhykzZszg9NNPZ5999uHggw/mwQcfZMyYMfz+97/v9Rz586Zc1qxZsx17PPCke5Jc9OR5pL0e9krCmV+7h4pQXz9daTQjmwkTJjjEp3t7S/H5fLz++ut9H7iV1NTUsHjx4n6/bjGK3fu2jkd/0m+i2eOtIeURgiNOjNW+CUWjxTVm5M5H1hLOQdIOUaxOEJTe5SAZR6o5mWINRHaNFGFSnWKxosxykl8EZ7lsKd5kSjmZQUOK1iC24CvFFoyqCJRtEeU4w7yuFNv2LRUiRam0hqiiMevBW2Yn+Pb5s1bUWC2lXQx3e7rbDuP6SwzwG7YFxO9aJKXK4kOMR8hcZDtme6lyjrymOn7u44oJbcO1TyVFUbuGfDBy/5LhbnOzgVraiLGBOpLYRRNkBUVp02jrxe+sEq8sw1eyd5/HDSoDMQlQ8eQ3NjZSUVFhLfPnzy/ajcsvv7wgg4R76S1SO5SoqanB5/PR3NzsaG9ubqa+vn6LrlFSUsK+++7Lhx9+2OsxwWCQ8vJyxzKS+NnfvskqX5ZKI8eRE3/G3hMb+j5Joxnh9JdoHgkMVdHcr2W9Qp4LaM7fY1cIBFYzwRIxMeKsYoJlK5ACOEMAP4YliuU+gCgJM0dxkCgJAqRppcbhd26hhmQyTKA0Q2dLDEqzoiy0FMhxRKaKOELIxrH9y6r1Qk4GVK0I6gipgZBiEwDVVymYpcVAjTK7j/Up26XO3719SrTY53UKZp/rN3I5rsK64cPnNfD5s/j9hlXQxBtMk8v6TPHst9/fPTmyG/HQodpY2rCtGSGEoJUPHOr99CjXUPWrOxItU/y5NW6xiLVqm3HRm00lQcQsQy7S79WYGVcyBAkqNo31NBAjTjWtJIhaVSnBFuIx82eK1b4JxIhTYcTxes4t3qGhhDuveH9eF1izZo1D0AWDxbMeXHLJJY6KVcXYaaed+qt3A0YgEGDq1KksWbKE448/HhDJ+5csWcL555+/RdcwDIO3336br371qwPY06HL46/ewcPpDwD4Ss8hfOvI4j8PazQazVCjX0VzufcqPPm7yeP0pUkRJwWIjywGfmLErfRyrVQTJWHZOapppZVqSzwHSDvKZKcJECBNkjCpXIhgaZq2jTEhCtvLbNEaxxbO8lVGlaXn2Z1lQ7VqqL82F7MQgDOKqnqapQ3DORhOMSiPKwX8dnlFf4lBoDRjRZmDgYyVJ0OOYW+ltA38BEyx6PcbpLuDBErToqAJkJGWjdI8+DziHv3YDxR+7ImKYE+OlCI3jm1D6TTX5TXkIsW3++EjiB2RL+adtgagyL5ue2eGMNkeH0Y0RSBsC+AEEStzSIgkQVrN70qhlzlBxBpDmf9aju8aGs0kdnFrW64DbPJVMZGbinR8iCEnoA7EdWGLo6BjxozZ6kpPQ5WLL76YM844g2nTpjF9+nRuueUWurq6+Pa3vw3A6aefzrhx46yo+09+8hMOOOAAdtllF+LxODfeeCOffPLJNvv4hjMbNn3Az1b8BnwevtwR5aKzf6V9zBqNZtjQr6IZYJznOlZwCzLcrEbqZPESsd3GaiZi4CNG3Io6pwngI+tIKZciTMhMKVZNK2toBIRXNUSSkDdFPBkjHE3R+VmN6EgntghUI85SzLkFsxRkcr0EOxotBaIUH2pktEQ5zx1ldr/6sS0gasTZEpviDQKRpCWYgwFb7AlRZ4vl3iwafjMtnQ8feHFcx/J7y2hzpV9EkKWvW06MlPcUx47SlyHEsbS7yIcD6Y+WBV2kPQPsCZFpnH5vXOuqSN7cJLMilpdULiTu0zxR/rIhCsKIFHTSIx81b66ZWqJ0UkNLgaB2/9rhHuc2Yozlos10cgihljjv7+sOEJ9++imbNm3i008/xTAM3nzzTQB22WUXq8rUYHLyySezceNGrrnmGpqamthnn314/PHHrcmBn376KV6v7Xxra2vjnHPOoampicrKSqZOncqLL75YUEZ2pJPLGVzy8Ddp93nYKZ3j7KPupSIc6PtEjUajGSJ48vl8vu/Dto7nmc4mSxwLS4ZEZs4ApwdV9T+3mFHnOJVWZNnAV3CeXI93iO10SvwHnGs3PRGd2JP/3Otgi0MZTXbnT1ZfJe7HDCkEpRiWdoxi3mZVKMeU9VIgJjoRKE07BLMUbAHSDrFczKLhSDdnCkdZQltG+9OZAEbWL2wsfsOuDBjHfmBowbZExLGjy/JVRuBl6j4piOPYtg01kt+DLapl/mr13lWPtBw3GflWPeOlYH4FoDSLN5gmHE0RLE0T8qaI0WZlzQiQIUrCsloEze00wYI26aEX1oy4td+PYf36IYkRx8DHvthlQ4ciHR0dVFRUwC3tEBoAP2yqA+ZW0N7e3u9+2zPPPJN77rmnoP3pp5/mkEMO6df3Gi7Iz3Mgxnt7ccvD5/LH9hcozeU4t+pizj7u7MHukmYE0t3dzapVq5g4caKuvKlxsLnvxpb+H9tvEwFVduUmRG1tp8AFWMUE07tsT+qTIlBG9jqJsp4GEkQImIpWThhMESJI2pFPN1YeByAYyohqd1L8dmLP9lezZRSb+CeR4kxGS9WJeuq6FHVqFoxSZVuKvRj25LiYeYwqBmN5iKVNsZwuiDD7MCzBLNalQ1csfgyCZMzXND6yZk3AjDVmlscZQwhxf5ZARETuA7GEsGnEsD3Icr0UO691sei5HxGFlm1R5TWltIeUVzkpUF3Uz8BtXVHbfBRMCpT5p2X+arkuSREmY+b4blESLKueZlk8B4RlQ82g8SmNju9wGzEifJ9hw0BkzhioNHYmd999N/l8vmAZrYJ5JLD0P49yd/x5AA7v3oOzvnbWIPdIo9Fotp5+t2cAjOHLlFLB+j40eYw2s/JfBAN/QQo6v1n4REadZZ7dODGCZsntZEYoMhllpttvT1pTfbfSYuC2ZMjIKNgCTloOstiT2npDCmxA6bo4N4Yz2uxX1i1bgoHXlyVQaopkUzBLO4pS28+yZqh2AjUKauAjgBSQwqIhxzVNgJTMUxzAErSB0gzZsiQ5f1BMDJTjI8dAZrcoRUSg5X3EzfvrBCqAdvP+5QNLVBlj9VVWRVSjze5ovSqc5WTDzXxTs1kfgSK/8sqJojHi1sNXihA+sgTN6HIzdWZEOu6I2rs9zKuYQCVxgnQziaFZqa4ow9CeoRlZJFNtXPXilRh+D9O6/Fz6rXu0j1mj0QxLBkQ0AxzAr3iIi+lEhLkjJOhUfMqyKIlEpKCrNDNkZKzonqz2Z+fhFRMA41QSJkk4kCLeESMYypCKR0X2ibjftgfI6HIcW7xFKBTOEpmXWIpGt2B2Z4pQLZayTVo0VBEtqzJL+0EWiAiLAdjFS0LeFEEluq5Gi93iuRhqZUD1DCmuVeFslPpJJkKEoymSQK7UL8Yv67ej4yDEcdy8hzR2RTwpZtV9qn9bPjjIMc+aY6JOlnQLZndmEbfHOUWvDzFJQubDVBhRWjtFFp/5sJUmQxC/+TAif+GQ5/kwLFtGwmWclunncniYwi+Lv/lQZaCiwgMYadaMLK78y8ms9ecZkzU4a+afqIqG+j5Jo9FohiADJprLGY+HSjCjxWre206idBK1BJ5E2jZkdFROEoyb0Wa1EmDQzJyRzIQIlKZJtEXtzBnuiX5SpBXLlgG2cM5ie2+LpfqVgrrYRDbVq+zeV4YyAVDYVrxlSYKhDGFpk/BK20XGioqCsBGoYlnaCorlIpbjGSTjiDRL0SzFdogkGYKEwkmCpVHS3UEqx8RpTSs+lRqE5zuGcwLfRvNeYua4xZR9ndgCWRXKFUCXsl1mjmUE2+fsHkd1XQpw6XnuFo05XPVPAvLebcsG2JMA5di1mlUC3dFldaJggih+DCKW8R06qKeBqQXjPqTp7bvcH9fVaPrggX9dzxLW48nnOT7833xp7/0Gu0sajUazzQyYaAb4KpfzewrriUdIsB6RzD6LzxF1TpkFJ2SkUBadUJFVAoOkyQQCJDqizkhzp9/OAuHOxQy2CExT3JJRzE8rBbUq6tw+XygegTZwiGXAEswBb8a8J6dgljYM6WcWHmWZHcJviWA3GYJWujU12pxVos0ZgrYw9yagVIj26vHNJDvDpLIxvGVJctkye1JfDCFWK83XGqBJuU/Z1oIdwZfCuQf7wUFaXtTIszt1n+pvVheU9iKoEyCFvznjiC6DXTGwt+hyJ1GHUJap58J0ciLXF3/joUwaGIhfwnXhP00ffLJ+Obesvhd8Hg5N1jHn9GsHu0sajUbzuRiQiYCSGiYSNhWOjC7LdYnf9DF3mpE9tT0pEsqZ+ZhDDpEoo4fpTIBAaZp0KiCsDlmfmNgmJ/pJPy4UTkxzV/5TX+VkPbVdXaqx09GpmR3cx9WIxVuWJFQTJxjKOCLMYREvN00oSWtiX8jcjprTJeWkPz+G1R62zCv2EiPuEMxhcxTD1vU6CZC2tsOkCHgzZHIBQt4U4UjSioJ767pgTF5+mPb9xLDb5GsFItIs98WU9RDO4i5RZR3Xem92Db/7tfekL9LzLdPNAY6Hr4zZniLksAilXA9n6q8jaRqpoL7X9xyyDHAZbY2mGIaR5Yf/OItOn4dd0nl+cNL9+Lzax6zRbI5nnnmGCRMm9Lo9VGltbaW2tpbVq1dv0/mnnHIKN998s6Ot2L0PhfEYUNEMMIfrLLGSsLJi2Hlw5c/gUjr6lHUpElOEzcpuQXxkrcwZ6YyZg7c7KDJnGH4ozYgy0dI3rP7sr26HsCPHbsEcwxbMpcp6NSJiKqOmcpECG/O1XmmLpCGStoRyOJKkuryVmDdOzCsEbszMYB0iRcS0DQhDS5woCUJmCrWQJZaT1hK1RtFuryRODS2ElQhrjDZTPAuhDCLqGiZJNS3EvHFxnDdO5RixXjkmTqgmbo5B2hbJ9a5xlVQjjqlWtktxCmn5KserlMKI/eb8zaAI50LlliZY0Ca/bxkzdu9mA3UOwbyeBseD3SZinM3PCs4bFgzD7Bma4c+Nfzubd0rShHI5ztz1x4wbIYVtNJqhwMEHH4zH48Hj8RAIBNh9991ZsGDBoPVn3rx5HHfccdssaH/0ox8xb9482tvb+7djA8CA2jMAAoT4EgfwKP8p2CdtGWq0T7Y3U0eSsPWzubQkZAia4tm0GphV7tKpAF5fVqScUy0aMmuD9DFLf3M3di5iH3Z5aCnc3F7QmLLunCdWmLIuC8TShGQ02XwNeYVYleJWjE/GivwClm9Zzcss3sLpbe5tIiBgeZkDpr9XliGvJG7ZYdJm7uYoCZKECJOyqzJ6DYhAsjMs+l4viqKE6ttINVWKsawx77sVIY5V3/gYhPBtMfelsScKVpjjHFPGXv01wD1R0G3dcAlmf4lzHAx81v2AEMxh08Ot2jQypsM5SdjyMcvj1dcyEszkGEqKiPFhQQ8D82isPc2aXnjhzb9yf3IpeDwcm9+P4w7++mB3SaMZMeTzed544w1uuukmTjvtNFKpFL/+9a85/fTTmTFjBhMnTtyu/Ukmk/zxj3/kiSee2OZr7Lnnnuy8887ce++9zJkzpx971/8MuGgGOJqv8hTv0Q1W1DlM0op7UqRdEqWTBBFk6W2Zt7gzF8XvN6zka8FQRlS7kwU7SvOiaIeaMUMVyqqAViNnqkhTo2nFJqiBS0zbJwRK032KZdmmppcT8jbtSCun5mneGtFsl5P2WRMvw6SsPQZ+koSIkiCFQYYAScKij14IladI5UJUl7fSihD/Ro2PTGlYPJSMNVWtfOaRk/0k0tLRjfBGxyie/SKGc+KgGnl2/1oAljXD63OGO42cTwh+cAjnNAHCpEibD1tqBF4cK75vqni2x3IcX+HQ4gM9HBjgMtoajUpnZws/ef06jBIP05JBfnD2/wx2lzSjnXweepJ9HzcQlIShn9MrfvDBByQSCY466ijq64Vl8Oyzz+aWW25h5cqV2100P/bYYwSDQQ444ABH+3nnncfbb7/N888/X3DO+PHjOf/887n88sutttmzZ3P//fdr0Sz5GedzPn8A2Ex0udayXvjIWj+RZ8woX4C0Vawi4M1YmTOs0tCAVR66228LZDmxT408q1FMzHZVoFnXozCy7Jj4JwRcIGYLrlARsSxfQxQKaBk1l5XsimXPKJZ2rjfc6ebSBAmakyczBIiYaf2CpGkjRsqMtvowCJEiRYhqWgmTpMVbQ5gkqYidJqqivoX2phoCkSSZsaaAHpOHkEdEl2twRp5rsDNrjMGZ49mKzON8iHH70As8zb2rNnWioxwnUXJdjH0bMcvTrea5ljmb5efSQZTfDZdy2b2RRtYZ6l8yfR+iGX1c+ZeTWVcCY7I5Lp51N6WBkr5P0mgGkp4k/LxhcN77ynUQKOv7uK1g6dKlVFZWMnnyZAA+++wzrrrqKoLBIHvttVe/vteW8NxzzzF1qjOr1DvvvMOdd97Jc889V/Sc3XffnTfffNPRNn36dObNm0c6nSYYHLq/7A64p1kSIsCR7FWQA1fSSrUjepoy/c1p1Yph1sHzYZDJBfD7DYysXxTo6PE5I4+l5rrqV5bbPpyTAGV7jOIT+dTtCCITRiSPt64Lb5mYOBeKiKW6qpVwIEU00EmYpOUtLiaYQ+YiSzmLpcWc+JexvMox4kr9ROdSSdxaiu2XHmnxHi2O64RIUWO+L0A1LdTQYglnsb8FgEbvGqq9rYQiIjd2Rb1or6hvwVvdBSAmDtaY4yPnzKmTBeW6HGe3l1m+yv9jCiLM8tUpmH3KdiYnPMsGfsu/rH6vZP5vOT1Sovruk4TJA6fxVYY9PQO4aDQKf37yZzzt24Ann+fUqtOYMmnPwe6SRjPiWLZsGe3t7USjUUKhEI2NjSxevJg77riDhgbxcJDP5zniiCOsc0444QQqKyv5+tedVqne2gEeffRRdt11VyZNmsQf/iACni0tLZxyyimO4z755BPrfSU33ngj++23HwceeGDRe6iqqqKpqcnR1tDQQCaTKWjvi0WLFjF37tytOufzsN0izQD/zUH8ndWmTUNELsOkHCWx5aRAmac5TNISOiJtWtYRafb5s9ZEQJlBIyfzDZdm7YizjF7KCHOWwpzMxYIiBVFmEcH0+rKEo0IER8N2lFlGKdWf+iNmpgv1GNWmISPMqm0gSqdV5ESmm5N5htNFxGCxoiYx4qQJWAIy4PLl1tFseXpbqHZEnJNmQZlaNrCBWsu2URfYQIIoNYFWWiIQDqQI16Vobq61i6R0haEmDaVBZ05sd0q6mDn+aQpzN/dmzTAfhuQDkiqYs1kffr9zTFQvsxTRMhIt7Cghx2djf0aNzGS3gvZhh7ZnaLYDq9e9ze8+uw98Xg7rHst3zrhisLuk0QhKwiLiO1jv3c8sW7aMOXPmcMEFFxCPx7n00kuZOXMmZ555pnXM66+/7piUd+GFF3LWWWdxzz33OK7VW3s2m+Xiiy/m6aefpqKigqlTp3LCCSdQU1PD2rVr6erqoqxMRLdSqRSlpaWOcx988EGuvvpqq+173/se06dP5+yzzwYgkUgQCjmLHMntZHLrrDTLly9nn3322apzPg/bVTQD/A//zUn8HbCr/Unc+Zh9Zto5cIpCHwapXAi/3yDdHcTnNzCyvt6Fc9ZnCmVPYS5mdQQcvmWX/cFvWLYLSTicNPvks0SyfA0pE/ukFQCEYJZ5gA38loCWHmbpuZV5m6WHWwpkIXI7rWu7McwbEiaPADHiVu5msd1GhiBxYpZgzpiTAuV2kpBljQmTpJYNVls1reZkuzDhgDnZLhm1HiAAQjVx58RB+fCiWjXcvvAUvVcNtH4NMAWzrKIYsj0CRtaPz19sPIQ9RX5G6q8WUky3Um2l5QNop5y7OKngWsOSLAPze5LOnqExyeUMrvzHmXQEvOyUhqtOeUCXydYMHTyefrdIDCbLli3jnHPOYZdddgHgd7/7HXvttRfnnHOOJZQfeeQRZs+ebZ1zyCGH8MwzzxRcq7f2V199lT322INx48YBcPTRR/Pkk09y6qmncvjhh/Pkk09ywgknAFBTU0NbW5t17kcffUQikWDKlCkA5HI5Fi5cyGGHHWYds3z5ck4++WTHe27atAmAMVuZaWf58uWkUilmzpzJ+vXr+fvf/86eew7cr1zbzZ4hCRHgeHYmRahgn8hyEFAiggFHpgzAnBDos4qCyPLTUjjLbApSWAHi53y/IUSXPy98yMVyL5dm7cUkEEmKxZzYJ5doecJhr5DrIVLUssGyQNQp69IuIe41RR3N1NJMLRuIESdMkhht5rGdlr9WjSjblo02hzVDLvJ8mcYuo0SXa2i1rltLsyWYVcuGFMcRxdsLUMcGQqTMczdQRzMgLB11YXM93EJNXSvV5cLGkeoME6jpEONY0wE15riqrzJ/s5rHGaxiMNIzviX4e/E5y4Inat5miXxoS5mGmRwebuCIguOGLXISZn8v3dvzJjRDmRv/8h3eDmQI5vKct+d11MSqBrtLGs2I5OOPPyYejztE4eTJk9l5550dKeeeeuopZs2atc3vs27dOkswA4wbN461a9cCYsLeI488Yu3bd999effdd63teDwOQCQi/pg/8cQTtLW1WdHol19+mbVr11qiW7JixQrGjx9PTU0NW8Py5cuZMGECL7zwAhdccAGLFi3aqvO3lu0eaQb4DvvyEI+TxM6rGyRtradN7zJgppkL4Df9zbJNCudMLkCwNE262xaH/hJDeJyDaZG7WcVv2JFnBYfINq/hjizLiX1gR5RlJFn2K0zSEXlW7Rohs7gI4Cg8Irb9ls84SNrRLq0Z6gRAKaTVBwopDtXsGVIopgiTJkiMNlKECRC0xjRJiFqarXInsr/yPZqps3JCS6pptQqwJIiSDYvMHAZ+K+NGKpIkEY9SUd9CqjNsvWY6w3jHdZFLB/FWdJErDYpIdMyMSEfMXwesXwnyZv5tn/U5+UvEQ1Kg1PnwJB+meovCC5uKOCZOjBhxa38e2JkJTGLr/tEOaQwG5tFY2zM0wItvLeKB7tfA4+F471SOOvDEwe6SRjNiWbp0KSUlJXzhC19wtB922GE89NBDXHnllSQSCfx+f4H9ob/Yd999eeONN6ztI488kiuuuIK2tjYqKyvZcccd8Xg83HfffZSVlXHppZdyzDHHsGjRIhobGzn33HOZNWsWBx10kOO6zz33nMOHvSWkUikMw+C73/0uAD09PcRisc99j5tjUEQzwD84ii+zBLCLTkjRp6IWowiStkSdFNPZrH2OFFCZ7oAtnE3vq4xAZ3t84CsUVKq9wGoLONvUyKv0DDsLiMSt9UK7hlOAq1kaevM1i/tMWSnotkU0gxhD6R1PESZGnCRhyzNd6Ge2/7HJgiiSOpodDwUyD7LqC672tpIkTLW3lUCV8J6rDyCRmjjJRMjxoOKtUER0OijKeKeDBGIJsj0+cobfIZjB/rzdtgw5Jn7X2MiJpSois4i4bimV3EjxiQvDliwDU0Zb2zNGPV3JOD9/9Uf0BDzskwrww7P/ONhd0mhGNMuWLWPSpEkEAs5fTWfNmsUdd9zBZ599xvjx40mn02QymYLjtpSGhgYrsgywdu1apk+fDsC7775rZe4AmDJlCl/84hf5y1/+wve+9z3q6+uZN28e119/PX/729/4+c9/ztSpUznuuON44IEHmD17Nr/73e8c79fd3c3DDz/M448/vlX9XLFiBdOmTbO23377bc4666xtueUtZtBEM8Cf2I9TecvaFqImYE32k21S/KmeZwMfRk5M/Mpmffj8WYysuJ1AaQYj67MsG2BPGPP18hO+jFRaffEaVtoyKb5U8ajm+5UCUgppNSIro8dqW7FczWrU2eqTZVBJO7zNUhSqaftUwSyLmACKnzloRoXFe9bRTJqAlaWk1SzjJ20bScKsYyxROovaQ9z3Iq8pI89qe02glQAZkoQIVpn3VJom5BV5oJOdYdKpAKFYwvEaUIR2oDRNtkf41tUIsxTMchKgFMcGfqvf7oexLD5rn51hI8tDwzkfc29o0awZIK6+/xQ+CUBVNscPZ/2JkpJB/XOi0Yx45s+fz/z58wvaTzzxRHK5nLUtvcpbG7mVTJ8+nRUrVrB27VoqKir45z//aU3sc/ulAa655houu+wyzjnnHLxeL1dccQVXXOGcDLy5Ett33XUX06dPL8j13BfLly+3vNMgRLO6PRAM6v9yu1DOtxjL/9LkiABmXNFAKaZVDEQhC1U4S+ErJwcCDuEccAljFXdOZZEtwo6e+sg6JvdJ4ejHcBQnCZG0qu6BPSFQItsDpBULR8ohMkMkrUwZckKgdc8uAeuONItYtFMwyywaGYKESJpWjYAVdZa5oRNELYuGEMdRpU9O4V9rCuQQKRJEHL5uUVAlZfVJCmZhC8mQyoUswQwQK4+TLA0RDqRIloYIBjJA1PrcpFAOR1NFBbPby2x7mINWIRg5TqptI2sJbA//HomCGQZO3GrRPKr5y5JfsdgnIlGnVZ3EnrvsPcg90mg0ktmzZ/PAAw9YonnWrFm89dZbdHV1MX78eBYuXMiMGTN6bff7/dx8880ceuih5HI5fvCDH1BdLQJrjz/+OA899JDj/Y455hg++OAD1q5dS2Nj41b3t6SkhNtuu22rz1u+fLk1wTCbzRKPx61+DhSDHhq4gF14kxSvkUKGxGQREyjMmiHWpdixhbMQWqIqXLA07bBtqD/fy+PsbBVOu4O8dthlS1CtF72vt1meZSiMyqqWDJDWB1swZ/ERVKwaMtItHyJC5qRAx8RIQxHNPjlWdtRZCuQMQauvsvKfmkFDLinCVpGPXVlJgijraHDch3woMPCbglncs4gwi4mQMtpcTatIUUcrSVIkiFr2jZhX2ESSGVMwZ4RgTmcC5udmEChNk+kOEookzZzcaYys3/qMVcEsqwG6yarfF/Pzlt+rHB7uYzr+wf+nMDCkGRj/sRbNo5bPmj/kd6v/AH4vB3dXc87p1w52lzQajcKMGTMcuYufeuqposf11g7wta99ja997WuOtpaWFvx+f1Hf8OfJlfyd73xnm8679dZbrXW/38+qVau2uQ9bypBQCn9iCkfyJqtdM5aksAGZNcNvrhsFwlm2+7x24RM3wnKRsTysIhWZmGinRofBLmkNwkstI7bAZtbt4XSXZC62XSwKHSblqAgo232GQTCdwZd1WrI9ym3mzeGScx8NP4SDKQyfz7JyqBUBA6RpNSe9iXLanVaebMCMNRcK/6iSvFp9SHDnopbU0UyCKDHili89qNxjLCCyfEQDnWQIEA10grnuw3D8kqD+ohAMZDByYkKofFCwI8rOzz9tTiZVq0vmgR+wC5Po/1yaQwYdadb0I/lcjqsXfZPWoJfGTJ5rTtLp5TSa/mLChAkO8ene3lJ8Ph+vv/56/3XMpKamhsWLF/f7dYtR7N63dTz6E08+nx+IIrtbTY4ce/A2PYrwVEWzFKTFJguCLZJ62w8UeJTV81SPsmxTo8iqJUNW65PHuteL7VOzaUSUY2Su5hBJwoZTRAfTGQJmai+PgV3q26B30SKHz4eVVi/vg4yZF7ktXCGizkacpE/YI2R0OUXISonXSZRm6qy+y4izHCMZm5YeZvd6gIyZYC9qZe4Q7xUiQIZWqq0JiUlCBMk4POtSMMvPLUOQTC5gZUyRQtn964P6+amfnRgae38eOIQwd7JLLwM5vOno6KCiogL2bQdfef+/gdEBb1TQ3t5OefkAXF/jQH6egz3et/71+/yh6xn8+Tw/3emHHPvlbw1aXzSaYnR3d7Nq1SomTpzoKLqh0Wzuu7Gl/8cOiUgzgBcvf2cSR/MxWaVbhquL6sTAYrgFk2hzVtMrFlUGZzRYimjZphYVidFmnRdRzql0RZ83l01DbVejssG0Gd3uQojkNLZAlsHZ3sqyuwXzJnGsx2+eEoT6rnY6qgIOwSy90c3UAkIwx4jjw7BEsNpPKZANRAQ7pKyrghlEfud1NFhjIfanHZ9hpZLNI61YUWTlPhAPGz6v+OxD3lSBv7vY5+5GTgAUqeWCI1YwOxio1HA65dyo4433nuHPiX+B18uxud21YNZoNKOOISOaASYR5nzGcAubAE+BYJa4J78Vm+QlUW0WhukZ9mFYIlqNTqop39wWCdXjLMVcyMxLLEV0Fh81tAKYnl/buuFOPRelU4jyDhFdTge9hLtyeLrMN0wDcj2IUzx303ekudQ8T263mm1lUN6dIVom7r+1yq4EKLNmbDDHpIF1VoRZ0sA61mAb/dWMH7VsIESSOJXUmb5mNZOGFMwpwlSb4yTtMjL6LEt7C7tIwrJVyM9ATTnY28OTW1C7iVDCP9m11/0jim7YzDPmtqNF86gik0nx0+cuJBXwsnu3j6vO/L/B7pJGo9Fsd4aUaAaYSx0ryfDoFpYck+JIemRVS0dQmUwnJxJKYa2KPb9io5BIYaz6mlX7hhTDwoLR6Sh2UqlEmEMkXdtCJEcN5/uVbcoJkSwjzCrSNiyF89bYM6RwNgWzFM+eTWK7Jt1J21ilRLeRAJ+wUUjRW2tW/5PR5LGsAyBiTvxLECVu5d0QmT9kfucwSdbRQDWtVoYOOaYJotbnFiPuEMGiWmGQMCnLqiEzqEh/u2rNENHr4l9n6VsHCFLCMr5Q9LgRSRbI9XnU1jMQ19QMWX5y3zf5IJCjLJfjB1/6HaVB/bO3RqMZfQw50QxwO418wie8TQZ3ktneosnF1tVosWrR8JkTwqTwlWJYii/AOlYV09KKUakIZtWCIY+XNgDpXXZspxOEu2zF4ZFCGeUVbCuGtGjI7ayy9IZfWaSVIwhUIMQzCAHdLq5TmTVT6TWYEeZNrSTLvESCUaJErbRysI4oUdqIKdkzosSJWX7mODFCJOk0Jx5W0+pIJ1hDK83UEaONoCKiZUEVtcCKjHy70+wlCVmp5NKKhUN+N4qJZ5G3Occ7o0kwg3jAGohZC1o0jxr++eL/8mh+JXg8nBKexbTJXxrsLmk0Gs2gMCRFM8Bj7MgX+ZiNffx1VnMYg9NuIQW0jGyKdXsyoBRZaQKWbUPNBhE0C3pLYRywfNFBq9S1PDes2C7Ea8LpaTYjy4bfD+Z1PO0IoSxfQYhaNdqcxhbOdsd6RxXMrcqx8rpSNNdiR55bgQooz2bIV0CyzEsiGCVspDB8fmtCn0iPl3JE82VBkzgxK3dzGzFq2UCcmJlursUazwAZR85tORlQLdstckenzcIrWeuzldk5ZBRa2G3Sjv6AM9OKxAOsGm2CGcTD1UCU0daieVTQ1t7Mre/+AqPEw/TuMi745i8Hu0sajUYzaAxZ0QywjJ2YxaesJOOIMKvRZIlPyV+sRpUNfGQIWAJW2jLU4iGSIBkyBCy/baFlw94HdsRZFcjFsnhIwRxtV8RyB0Isg9OO0YrTzwx2VFmdENhXpDmIUzAHERMDQYjlbjDn/YkIdJnok6cDyspzGDvYmTwajPWs8YmvSoIodWwAMO0TwoKhCmE19Zy0X9gTBEUEuoZWEua2+tkGlAi/mh5ORpXlseI9hQEn6BLi4BTOpXj4gJ03M2AjGC2aNZ+Da/5yCmsDHsZkc1z7tXvx+gbCIK/RaDTDgyEtmgGeYge+yie8Q9Yyaki7Q7EUYzKaCfaEMBHdDFoT9sCOLmcIFohkKfQyBMx8xk5fs13Vz448Swx81vWs6LMqlkEIZhUDIZI7Xe1qtDmL06Khvkr8rvWgsl5hrpeZ7e3Yk7k6wJrrVy62yz81o/M7iHudvOkj4lUhaxKge4KfKqTlA4T8LFTBXEOLNb7CuhGwBK+MOvvIWsVt6thgloAJWeK8WMpAcZtGQdQ5QJ4PRkOWjN5IMzBltIdEokrNQHL3P37KMwHxK9HZ489mh7Gj+N+RRqPRMAxEMwirxnms5Z/KT/iSYrmXJUIw2x5lp9/ZFsJqDmYDP2mCVJuWArDFtNu/nCFArSkWQyQta0aQNLEOWwEXiOV25VX1M8t1H04fszv1nJwMiLKtfpJyEqBsk9k3pFiuMtvXIUS06pHewXxdg7BsfCosG/GqENGOFA3lYhKg8C4Lr3OaiYBTSMeJOSLLdTSTUaLBcp9MzddJ1LJpSD+zFMRiXQjpYp+zuMWMlR1FiPA81Ri8OVqyZPRGFi2aNVvNx2ve4U/N94PPy+E9YzntyIsHu0sajUYz6AwL0QxwO+O4l038mPWOohcSGX0OFLFdqKWq3e1uC4aPLGFSBMkoXmZxTpKQGfO0LR5hkgViOpROkg56Kdtg/obdhW2NgOKiWfUsdyCEsntfkG0TzGa+ZkCI5LT5KhewBfSniKh0BSLq3CUmK0b9tuVC3F+QBBHiVNKALaRljuYAGeLEqKbFmhS4Mx85xLRqyxDZNTLmJE1bXMvPWmTRCBakmZMZUTIErWP9ZAni1YIZtGjWbDU5w+C6x86krdTLjhm49tT7B7tLGo1GMyQYCLfjgPFNqvgHO+GhMI+yH4MQKUs4yXRlqmCW7SJFXKdVwMPd7s6KkSFIJXEqzTLQ8rhaml0iXPh7yzblnCnkVFHbbi7rKPQty/Z2bKEsI8xZhN9Znt+qbLcqywZzaTYXt2AuVd5HLu3mvgpz/VNzkf2rAP86sYTSYiwbNrVSx4YikWVZ1MQ5NlJEA1TT4hDMQUtEG9b54PSUy+waql1GluUW7fK98kynlHeYjAboGcBFMyL55cI5LCvtpiSfZ+5e11ARqer7JI1G87l55plnmDBhQq/bQ5XW1lZqa2tZvXr1Np1/yimncPPNNzvait37UBiPYSWaAXYlxDvsQQQ/eYTgEnmB7UiorOaXIeAQzCCEbcr8+V89PkqCIGlqaKGGFmtioSz6ESBDLRuoNYVi2KxYB0Kw1SU3EE6miG1KOcWyFLNd2ELZLaKlcJU6Up4vBXKXeY0O7AmEfS3y2GaEiFbfB+wosyqg5b4K8z3XmIsinsvW5Ah35YhXCRG7a/J9amm2cjnXsYGgKZDr2EAdGwqyl8SppIZWJrLaKgajepPHsq7gFwAQYlt+nvLzDpm/CgB4yPFTGlgwmj3MbmRO7/5edHGTEcmrKxbzQOp5AI7zTmHW/icNco80Go2bgw8+GI/Hg8fjIRAIsPvuu7NgwYJB68+8efM47rjjtlnQ/uhHP2LevHm0t7f3ffAgM+xEM4APHy+xL8dQQR5nSjmwJ/KFSBaI34i5+MhaXmaZ/UIVbikrspmmjmbrmiCKgEgvrhSJEk8XtndYCt4u7KpsbnHr9jRvTgTLqPLmvlfSmuE+zy2cVZEs+yHFcxf2xMFyCiLPnnVQuSZFOJmiLSwOVKPOYtzsMdmFD6mmxZogqY6le9xlhD/iEs1qRUXnLwfCyuHF4Hl2478Zs5nB0Qx1Vq9ezdlnn83EiRMJhULsvPPOXHvttWQymb5P1nwuutNJrn/xErq9HianfVx56j2D3SWNRuMin8/zxhtvcNNNN7F+/XpWrlzJUUcdxemnn86qVau2e3+SySR//OMfOfvss7f5GnvuuSc777wz9957bz/2bGAYNp7mYtzAF7iLUu7kIzw4xVjIzLkgSRJ2TO5LELUmm9mTAH0kCVseXbdXOUXIqoYn7QAyC0dAZrqQQlTNu7xBaZPtqrBVj+8Cl/PEadGQqMLZwFkqWeZidhc3kbmapbDPYtsypLe5Aqd1RF632myvwhLUwXVQV9VOvCrkqBwoawGKt03TZtoy6mi2HkbEpQ3HZECZDxqwsmeEzQefpHJeyEw3J8hTiofXOQDN8Oe9994jl8vx+9//nl122YUVK1Zwzjnn0NXVxU033TTY3RvR/HTBaXwQzBMxclx58O2UlAT6PkmjGeLk83lS2VTfBw4AIX8Ij6d/J5V88MEHJBIJjjrqKOrr6wE4++yzueWWW1i5ciUTJ07s1/fri8cee4xgMMgBBzj/Bp933nm8/fbbPP/88wXnjB8/nvPPP5/LL7/caps9ezb3338/c+bMGfA+fx6GtWgG+DY7cBBVnMNLgJ2HWRXMYjvpyLwgjytm01A9zTJtnTxWRpVThGlIrrfO9ciJflJsBsHU13YqOdWyAU7BrPqb1euohU1U4by5yYCqBUQVztVK38qU9+3CFs3yvHXYAhpsIS7tGtWQN62OlWtSpBvFH1hhy2imjmbixKxIv6wWWE0r1bRa28WizPKBJkqChJlVI0zKEs5SUEOeaQS4g+loRgZHHXUURx11lLW90047sXLlSm6//XYtmgeQx56/m394PgA8nBo9gr13PWiwu6TR9AupbIr9F+w/KO/9yjdeIVwS7vvArWDp0qVUVlYyebKYt/PZZ59x1VVXEQwG2Wuvvfr1vbaE5557jqlTpzra3nnnHe68806ee+65oufsvvvuvPnmm4626dOnM2/ePNLpNMHg5iq4DS7D0p7hZhIRnuFwqvGQp1AwSwGmrsvoprRpyG23XUAK6Bhxqml1bAe6RbQ1uA4hbrsR4nOTuci0cV3AepzV/+SygeIWjU5z6XK1S6+yPKdY9owO8/3d79WMbdWQ50tvszzGbc9Y72pX0tV51gk7Sroa6ja1U7ep3XqokILYnvzXWiCQneOctdrVhxv5ebk9zkG6OYdxWjD3yfCfCdje3k5VlZ6MNlBsijfz6/duwvCIqn/nn6gfTjSaocqyZctob28nGo0SCoVobGxk8eLF3HHHHTQ0iIIL+XyeI444wjrnhBNOoLKykq9//euOa/XW3tu+lpYWTjnlFMdxn3zyifW+khtvvJH99tuPAw88sOg9VFVV0dTU5GhraGggk8kUtPfFokWLmDt37lad83kY9pFmlb9yJDfzGi/yPh7sKLLqgU0QtSwWctvOwyyKnxj4SRClkTVAYco5n2FQvsnlsSzFjspKq4YUuipqVFmNLqsZM4pFnruxo8tZ5Rw38hP1YVcCRHndgBDJG7C91/L7LoWyKpzLERFq2aduc7vKvl7AjFLHq0JUG+bEPp9hldYWeUdiVhc3Z8uQ6ekk0uaRsNrzxEjyf3yViBX+1vROCigZoOtCR4ezUk8wGOzXKMGHH37IbbfdpqPMA8i1C09lbcBDTTbHj7/2f7rqn2ZEEfKHeOUbrwzae/c3y5YtY86cOVxwwQXE43EuvfRSZs6cyZlnnmkd8/rrrzsm5V144YWcddZZ3HOPc55Cb+297aupqWHt2rV0dXVRVib+8KdSKUpL7b/F2WyWBx98kKuvvtpq+973vsf06dMt33MikSAUco6N3E4mnckb+mL58uXss88+W3XO52FERJpVLmE/7uG/iJE3o87OD0CNWDonAdqGYRF5brOi0KrAq0tuIJhWBHMWO72bO9qsitpuCtPMgS1G0zijwup5UlB3I6LP3c5je9SIsoxSy0mDG5SlA2duZhkNl/vdUeZ1OKPSalGUdea5FeDZIBafYUeI65IbHCnnqmlhZ3NCYI3iLYdC77jMnuGOLodJ8lXqeYgTtWDeYgYidYbtE2psbKSiosJa5s+fX7QXl19+uTXbu7flvffec5yzdu1ajjrqKE466STOOeecfhwTjeSex+bxTGAjAOeM/zaNYycNco80mv7F4/EQLgkPytLffmYQovnAAw9kl112Ydq0afzud7/jhhtucKR7e+SRR5g9e7a1fcghhxCNRguu1Vv75vYdfvjhPPnkk9Z2TU0NbW12teWPPvqIRCLBlClTAMjlcixcuNBxreXLl1v2EsmmTcLjOmbM1k3mX758Oe+//z4zZ85kp512YsWKFVt1/tYyoiLNkgil/IFv8j/8izd40xF1VrMyqNFkub2DuS2FnDyvoBJdN86CJSDE6BplfxAhVFtdxxWbELgFnuaeLGSVyYChUtFW4rJnpMxz/X5ln0wTJv3L7uIm0gctRXIF9qQ/OZHRHWVep5wPlK/IQJWwa8isGjWmfxmEZcOPYU0MFN3NOqLQERJWtFmNLtfQyU2cocXyVpNlYKwU4ou4Zs0aysvLrdbeosyXXHKJIxJSjJ122slaX7duHYceeigHHnggd9555+fvrqaAVWvf44/rF4Dfy2GZer5x5KWD3SWNRrMZPv74Y+LxOHvuuafVNnnyZHbeeWcWLFjAlVdeCcBTTz3FFVdcMSB9mD17NrfddhsnnHACAPvuu68j60U8HgcgEhE1F5544gna2tqsaPTLL7/M2rVrrfMlK1asYPz48dTU1GxVf5YvX87hhx/Oz3/+c2655RYWLVrkGJ/+ZkSKZsk5fIVODuTn3I4BBZHLSleE070NFE4KzILfLYIjiJRsYFsz0hTaJ7pdbcUyZ7ijzEUEc4+p31NF7BkhU7M4BLPMnKH2T76fFM4yuizXZWRcnldu9kX6t93iWdkONkNNdTv+cmHRkLmYVevFRFYpohirlLb7uDBd7M9kTufowpvVbAED5T8W1ywvL3eI5t4YM2bMFkcQ1q5dy6GHHsrUqVO566678HpH3A9ig07OMLju0dNpK/WyQybPj0+5b7C7pNFo+mDp0qWUlJTwhS98wdF+2GGH8dBDD3HllVeSSCTw+/0F9of+Yt999+WNN96wto888kiuuOIK2traqKysZMcdd8Tj8XDfffdRVlbGpZdeyjHHHMOiRYtobGzk3HPPZdasWRx0kHOy8XPPPefwYW8JqVQKwzD47ne/C0BPTw+xWOxz3+PmGPF/jSKU8nMu4ovsbVX+ldX9ZNS50nLdFs8ZLPFhOAVzOXbxEjnpL0KhNUNaINRUctIfrFotJGZ7T5cQy6luSHRBKg0dXeZ2N3RkC5dNXeKYTe1iSXULcd3Tal63FDs6LCcAygqCcl0Ka5k9Q1oxwOFlZj22YJZkIWtuV2/qdIznBFYTM8daCmYZde50bUOeajr5Bf9PC+bPRTfCf9zfi/r01X+sXbuWQw45hB122IGbbrqJjRs30tTUtNWTQzSb55a/XsjS0hT+fJ4L97yKWHTrojsajWb7s2zZMiZNmkQg4EwHOWvWLJYuXcpnn31GNBolnU4PWG77d99912GtmDJlCl/84hf5y1/+AkB9fT3z5s3j3nvv5eijj+aSSy5h3rx5LFmyhC996Uvsvvvu1rGS7u5uHn744a224a1YsYJp06ZZ22+//TZ77LHH57i7vhnRkWaVkzmeJEdwN/PI4Yw6txFjIqutbXcZ7TgxJmwy08tJDSjFs7RLlGNbM2T+Y7d4Blt8qqnkwGnHQAjmlLk/1W2/jZ/ef3Avwf5AS/wi6txhXjdUKq4XCkKJW+/IQGEr9iRBsKPMVUpbFiGSZWR6A3bnTKur3xDp6GTVQImaSUONMlcqUWaAKO3szf4cy8lF7lKzdbgTfPfndfufxYsX8+GHH/Lhhx8yfvx4x758Pt/LWZqtYdm7z/JA8mnwepnt2Z0jZpw62F3SaDRbwPz584vOGznxxBPJ5XLW9iGHHMIzzzyz1ZHbLcHtlwa45ppruOyyyzjnnHPwer1cccUVBfaQzZXYvuuuu5g+fXpBrue+WL58ueWdBiGa1e2BYNSIZoAwYf4f81jL+yxmHtBNlSuaLMWymptZJV8Fng+UhgpAFuGRYlR6m90TAUFYJdTJdXJfEbEMTsEMwiLdm1yRifb8iIPKzQNDpvgNBaGkTLwHmDkVysz3lgVOpBiuALNWiR2ZVu0YbotGNbagRkwMjJEiRorVVWOtPqpp6EAIZjW6vAcxTuBHvdyhZusZWHtGf3PmmWf26X3WbDuZTJr5z19IMuhl17SXH5059CtwaTSarWP27Nk88MADlmieNWsWb731Fl1dXYwfP56FCxcyY8aMXts3d87jjz/OQw895Hi/Y445hg8++IC1a9fS2Ni41f0tKSnhtttu2+rzli9fzmGHHQaIrB3xeJzq6uo+zvp8jCrRLBnHFziTe/iMZbzGNVSxseCYODFh1zAzQiQqApR/YP7cIVWrzLYlt1UBLaPNMiJdhrAzyH1ykqAinosJZhDyRAriHvqO8alz/wBC3RAyryc1bok6CbAC214iT1ILokjxnMWeIAjOKLMU2+Zx+VqxWiwNncxEIjNjezGox+C/uKuPO9NsPcMr0qwZWObddzrvBQ3CuRxXHPQbAoGhW0RAo9FsGzNmzHDkLn7qqaeKHtdbe2/7Wlpa8Pv9RX3DnydX8ne+851tOu/WW2+11v1+/3YpIz7iPc2bYzxf5AQeZSLXYeClwowyW4VODLFdvilTmJcZbD1SgV3QpDArl12QRLaVUiCYSQtLRYnP9CF3C6G8iW0TzDIzb8hcpBPV8jq34yzCArZNI63skxFy+fAm09gZOKPMMm2d0kF3Gjo5njZ5yshwEv+jBfOAIc08/b2MbtH829/+lgkTJlBaWsr+++/Pq6++utnjFy5cyG677UZpaSlTpkzhscce2049tVn88gP8Pf8OACeHD2Hq5IO3ex80Gk3vTJgwwSE+3dtbis/n4/XXX++/jpnU1NSwePHifr9uMYrd+7aOR3/iyWujoMVqbiDLbZTQQ6VL4FlRZhDCcZOyjrLd7npVfc1dRfabwrmnS0z2A3PyH7ZYhs8nnKW2lQ7j8jI7XR2YUWew7RmqRaPcvAc1BR3KfgCZ2lUt2lYtlo6qAOWbMnRUBYj7xOMI+Tx+TwnjuZty9uvjbjTbQkdHBxUVFcCjOPIC9htdwLG0t7dvUfaMkcQDDzzA6aefzh133MH+++/PLbfcwsKFC1m5ciW1tbUFx7/44ot8+ctfZv78+Rx77LEsWLCAG264gWXLlm1xaiT5eW7reLd3buLU+w5mTQCmdof403de0kVMNCOS7u5uVq1axcSJEx1FNzSazX03tvT/WC2ai9DCzeRzNxDIt1MhI8xSHLtFsppNQ/1lYJOyT0aUVcEsrR3dTsEMkDLFbAdOsQzOSYCW/UKeh1Mwq+uWYDZfa03B6xDMICLI5TiFs1yXnmW3eJZi2V0XQRHOAO3ecrx5H9WeByn1FC+vqekfbNH8MAMnmo8flaJ5//33Z7/99uM3v/kNIJL3NzY28v3vf5/LL7+84PiTTz6Zrq4uHn30UavtgAMOYJ999uGOO+7Yovf8vKL5oj8cwVMl66nM5rj7iL+wU+PAzjDXaAYLLZo1vdEfonlU2zN6o4ZLGOPdQIhXSQdi5OPmDlUgV+EU0Ko1w130JGsem8UpmM192ayYpNeTFYufLRfMYEelt1QwJ3HZNGS/iglmte/SoqE+EKgWDblP3QZ8PTn8mUrG5t5mnLdJC+btirZn9CeZTIalS5cya9Ysq83r9TJr1ixeeumloue89NJLjuNB5Dbt7XiAdDpNR0eHY9lW7n/ylzxVIiZUnFV/ihbMGo1Gs41o0bwZAr69CVa04ZmUh9L9QP6aKUVyMdx/29wp5wxE4E8Vqtip4aT9uQchfFWRnFJei8kYKZ47gIRyrLxmK0IwS/FcXgYhGYSMYAt+9SEAbBEthXI5ztzMUkRvwhbROSDrgZ6jKSvtIRxqwu+rR7O9Gdgy2qONlpYWDMOgrq7O0V5XV9drLummpqatOh5Eaim1PPm2zEiX/Hv1wwAcnKnmzGOu3ubraDTDCf0jusZNf3wntGjeUia8CgfkYZ8VUDbG6VlWKccuelKkYh/lFJTN7jGExzgLhCkuT9xR582hRpfVTBpqIDyLWQilQyxFs2C0u+5BFcqyqIsqlPOISYSeRthpPeyZg4btP+FJozIQUeaBSmOnkVxxxRW0t7dby5o1a/o+qRd+c/bTnB06hOtOur8fe6jRDE18pld/oIp7aIYvyWQSECnutpVRmXLuc1G2B3zFrPSxYh68fjO0tUGLuV8V0RU4RacahZbV+LDLY4f80Jy1BbI6EdDv2obisT4Zne5BCOcebBHttmn0KO/tyORRoRwkRbR6H3JfNUIop4BoIxz4INRMQzOUSAGeAbru6KOmpgafz0dzc7Ojvbm5mfr64r+k1NfXb9XxAMFgkGCwf9LBeX0+5v731udA1WiGI36/n3A4zMaNGykpKcHr1bHB0U4+nyeZTLJhwwZisZj1YLUtaNH8edjzKrEArP4X/N+p4N0IcfMnAFVoGhRVuZvMYzqUfTJFnHzFdWpvP4yrUWW/clwJhRInBJSbJ1RJYSytGtLnLFPpQaHPOQ9ED4bTn4B++uOuGQh6qx/ZH9cdfQQCAaZOncqSJUs4/vjjATERcMmSJZx//vlFz5kxYwZLlixxpEpavHixVURAo9H0Hx6Ph7Fjx7Jq1So++eSTwe6OZggRi8U2G6zYErRo7i8mfAWuNqNJnXG4cl/o/ASMfGHaOZOeLETLnJkzVNSIc7EJgNZ1EMJYLbWt5mku9poyL1buF8I9Wib6WOKuDAhCIPcAwTAc+1M45uLiHdYMQXRxk/7m4osv5owzzmDatGlMnz6dW265ha6uLr797W8DcPrppzNu3Dir3O2FF17IwQcfzM0338wxxxzD/fffz+uvv86dd945mLeh0YxYAoEAkyZN0hYNjUVJScnnijBLtGgeCCIx+LWSf+6dl+Hn34X/rIR0D2Tz9JgiOtFlR5mLRYNlWwn25EApV9T4YY9ynFvOuCPX0qohI81RM8JcUgH5PGCApxsoK4OT5sCFN2z5vWuGGPJbMxDXHZ2cfPLJbNy4kWuuuYampib22WcfHn/8cWuy36effur4SfjAAw9kwYIF/OhHP+LKK69k0qRJPPzww1uco1mj0Ww9Xq9Xp5zT9Ds6T/MgkX/kAdKXzCW9roVEMks2X+hlVgucuCPNxSSLjC4XSzdX7DXiE27XYCl4g0FK/vu/8c27BW+VWqVEMxyx8zTPQ5Sg7G+6gatGZZ7mweDz5mnWaDQaTe9s6f+xOtI8SHhmn0zp7JMpRakdks3S/fjjtN17L61PPYU/lcKfTGIgxG1fTzd512sOIbK9QDYSwR8M4ttzT8J7703NBRdQuvPO/X1bmiGHtmdoNBqNRtMfaNE8hPD7/USOPZbIscey7VlZNRqVHuwE4/19XY1Go9FoRg9aNGs0I5ouBiYqnB6Aa2p6Q7roPk9lQI1Go9EUR/7f2pdjWYtmjWYEEggEqK+vp6npVwP2HvX19QQCgQG7vsYmkUgAfK7KgBqNRqPZPIlEwpwPVBw9EVCjGaF0d3cPaMqlQCCgZ6dvJ3K5HOvWrSMajeLxbH2xmo6ODhobG1mzZo2eSGiix6Q4elwK0WNSnJE0Lvl8nkQiQUNDw2YL4uhIs0YzQiktLdWidoTg9XoZP378575OeXn5sP/j1t/oMSmOHpdC9JgUZ6SMy+YizBJdX1Kj0Wg0Go1Go+kDLZo1Go1Go9FoNJo+0KJZo9FoRjjBYJBrr72WYDA42F0ZMugxKY4el0L0mBRnNI6Lngio0Wg0Go1Go9H0gY40azQajUaj0Wg0faBFs0aj0Wg0Go1G0wdaNGs0Go1Go9FoNH2gRbNGo9FoNBqNRtMHWjRrNBrNCOa3v/0tEyZMoLS0lP33359XX311sLu03Zg/fz777bcf0WiU2tpajj/+eFauXOk4pru7mzlz5lBdXU0kEuG//uu/aG5uHqQeDw7XX389Ho+HuXPnWm2jdVzWrl3LN7/5TaqrqwmFQkyZMoXXX3/d2p/P57nmmmsYO3YsoVCIWbNm8cEHHwxijwcWwzC4+uqrmThxIqFQiJ133pmf/vSnqDkkRtOYaNGs0Wg0I5QHHniAiy++mGuvvZZly5ax9957c+SRR7Jhw4bB7tp24dlnn2XOnDm8/PLLLF68mJ6eHo444gi6urqsYy666CIeeeQRFi5cyLPPPsu6des48cQTB7HX25fXXnuN3//+9+y1116O9tE4Lm1tbcycOZOSkhL++c9/8u6773LzzTdTWVlpHfOLX/yCX//619xxxx288sorlJWVceSRR9Ld3T2IPR84brjhBm6//XZ+85vf8J///IcbbriBX/ziF9x2223WMaNqTPIajUajGZFMnz49P2fOHGvbMIx8Q0NDfv78+YPYq8Fjw4YNeSD/7LPP5vP5fD4ej+dLSkryCxcutI75z3/+kwfyL7300mB1c7uRSCTykyZNyi9evDh/8MEH5y+88MJ8Pj96x+WHP/xh/qCDDup1fy6Xy9fX1+dvvPFGqy0ej+eDwWD+vvvu2x5d3O4cc8wx+bPOOsvRduKJJ+ZPO+20fD4/+sZER5o1Go1mBJLJZFi6dCmzZs2y2rxeL7NmzeKll14axJ4NHu3t7QBUVVUBsHTpUnp6ehxjtNtuu7HDDjuMijGaM2cOxxxzjOP+YfSOy9///nemTZvGSSedRG1tLfvuuy//8z//Y+1ftWoVTU1NjnGpqKhg//33H7HjcuCBB7JkyRLef/99AN566y2ef/55jj76aGD0jYl/sDug0Wg0mv6npaUFwzCoq6tztNfV1fHee+8NUq8Gj1wux9y5c5k5cyZ77rknAE1NTQQCAWKxmOPYuro6mpqaBqGX24/777+fZcuW8dprrxXsG63j8vHHH3P77bdz8cUXc+WVV/Laa69xwQUXEAgEOOOMM6x7L/ZvaqSOy+WXX05HRwe77bYbPp8PwzCYN28ep512GsCoGxMtmjUajUYz4pkzZw4rVqzg+eefH+yuDDpr1qzhwgsvZPHixZSWlg52d4YMuVyOadOm8fOf/xyAfffdlxUrVnDHHXdwxhlnDHLvBoe//OUv/PnPf2bBggXssccevPnmm8ydO5eGhoZROSbanqHRaDQjkJqaGnw+X0HGg+bmZurr6wepV4PD+eefz6OPPsrTTz/N+PHjrfb6+noymQzxeNxx/Egfo6VLl7Jhwwa++MUv4vf78fv9PPvss/z617/G7/dTV1c3Ksdl7NixTJ482dG2++678+mnnwJY9z6a/k1ddtllXH755ZxyyilMmTKFb33rW1x00UXMnz8fGH1jokWzRqPRjEACgQBTp05lyZIlVlsul2PJkiXMmDFjEHu2/cjn85x//vk89NBD/Otf/2LixImO/VOnTqWkpMQxRitXruTTTz8d0WN02GGH8fbbb/Pmm29ay7Rp0zjttNOs9dE4LjNnzixISfj++++z4447AjBx4kTq6+sd49LR0cErr7wyYsclmUzi9Tqlos/nI5fLAaNwTAZ7JqJGo9FoBob7778/HwwG83fffXf+3XffzX/3u9/Nx2KxfFNT02B3bbtw3nnn5SsqKvLPPPNMfv369daSTCatY84999z8DjvskP/Xv/6Vf/311/MzZszIz5gxYxB7PTio2TPy+dE5Lq+++mre7/fn582bl//ggw/yf/7zn/PhcDh/7733Wsdcf/31+Vgsll+0aFF++fLl+eOOOy4/ceLEfCqVGsSeDxxnnHFGfty4cflHH300v2rVqvyDDz6Yr6mpyf/gBz+wjhlNY6JFs0aj0YxgbrvttvwOO+yQDwQC+enTp+dffvnlwe7SdgMoutx1113WMalUKv///t//y1dWVubD4XD+hBNOyK9fv37wOj1IuEXzaB2XRx55JL/nnnvmg8Fgfrfddsvfeeedjv25XC5/9dVX5+vq6vLBYDB/2GGH5VeuXDlIvR14Ojo68hdeeGF+hx12yJeWluZ32mmn/FVXXZVPp9PWMaNpTDz5vFLWRaPRaDQajUaj0RSgPc0ajUaj0Wg0Gk0faNGs0Wg0Go1Go9H0gRbNGo1Go9FoNBpNH2jRrNFoNBqNRqPR9IEWzRqNRqPRaDQaTR9o0azRaDQajUaj0fSBFs0ajUaj0Wg0Gk0faNGs0Wg0Go1Go9H0gRbNGo1Go9FoNBpNH2jRrNFoNBrNKOOQQw7B4/Hg8Xh48803N3vc3Llzt1u/BpIzzzzTuueHH354sLujGYZo0azRaDQazSjknHPOYf369ey5556D3ZXtwq233sr69esHuxuaYYx/sDug0Wg0Go1m+xMOh6mvrx/sbpDJZAgEAgP+PhUVFVRUVAz4+2hGLjrSrNFoNBrNMOS8887joIMOKrpv/PjxXH/99Vt1va6uLk4//XQikQhjx47l5ptvLjgml8sxf/58Jk6cSCgUYu+99+avf/2rtT+RSHDaaadRVlbG2LFj+dWvflVg8TjkkEM4//zzmTt3LjU1NRx55JFbdO2+9gP89a9/ZcqUKYRCIaqrq5k1axZdXV1bNQ4aTW/oSLNGo9FoNMOMd955hzvvvJPnnnuu6P7dd999s17lYlx22WU8++yzLFq0iNraWq688kqWLVvGPvvsYx0zf/587r33Xu644w4mTZrEv//9b775zW8yZswYDj74YC6++GJeeOEF/v73v1NXV8c111xTcA2Ae+65h/POO48XXnhhi6/d1/7169dz6qmn8otf/IITTjiBRCLBc889Rz6f36px0Gh6Q4tmjUaj0WiGGTfeeCP77bcfBx54YNH9VVVVNDU1bfH1Ojs7+eMf/8i9997LYYcdBghhO378eOuYdDrNz3/+c5566ilmzJgBwE477cTzzz/P73//e774xS9yzz33sGDBAusad911Fw0NDQXvN2nSJH7xi19s8bUPOOCAze6XojmbzXLiiSey4447AjBlypQtHgONpi+0aNZoNBqNZhiRzWZ58MEHufrqq622733ve0yfPp2zzz4bEDaJUCi0xdf86KOPyGQy7L///lZbVVUVu+66q7X94YcfkkwmOfzwwx3nZjIZ9t13Xz7++GN6enqYPn26ta+iosJxDcnUqVMd231du6/9AHvvvTeHHXYYU6ZM4cgjj+SII47g61//OpWVlVs8Dqssnk0AAQAASURBVBrN5tCiWaPRaDSaYcRHH31EIpGwoqi5XI6FCxda0V2A5cuXc/LJJ/fr+3Z2dgLwj3/8g3Hjxjn2BYNBNm3atMXXKisr26prr1u3brP7AXw+H4sXL+bFF1/kySef5LbbbuOqq67ilVdeYeLEiVvcN42mN/REQI1Go9lC5s+fz3777Uc0GqW2tpbjjz+elStX9nnewoUL2W233SgtLWXKlCk89thj26G3mpFKPB4HIBKJAPDEE0/Q1tZGaWkpAC+//DJr167lhBNO2OJr7rzzzpSUlPDKK69YbW1tbbz//vvW9uTJkwkGg3z66afssssujqWxsZGddtqJkpISXnvtNeuc9vZ2xzV6o69r97Vf4vF4mDlzJtdddx1vvPEGgUCAhx56aIvHQaPZHDrSrNFoNFvIs88+y5w5c9hvv/3IZrNceeWVHHHEEbz77rsFkTPJiy++yKmnnsr8+fM59thjWbBgAccffzzLli0bNflxNf3LjjvuiMfj4b777qOsrIxLL72UY445hkWLFtHY2Mi5557LrFmzes2sUYxIJMLZZ5/NZZddRnV1NbW1tVx11VV4vXZsLRqNcumll3LRRReRy+U46KCDaG9v54UXXqC8vJwzzjiDM844g8suu4yqqipqa2u59tpr8Xq9eDyezb7/lly7r/2vvPIKS5Ys4YgjjqC2tpZXXnmFjRs3svvuu2/zWGs0Klo0azQjlO7ubjKZzIBdPxAIWJGt0cLjjz/u2L777rupra1l6dKlfPnLXy56zq233spRRx3FZZddBsBPf/pTFi9ezG9+8xvuuOOOLXrfXC7HunXriEajfYoPzcgnHA5z9dVX86tf/YqFCxdy7bXXss8++3Dqqady//33c/TRR3PzzTfT0dHR6zWy2SzpdNpxzNVXX82mTZs49thjiUQifP/736e1tdVx3GWXXUY0GuVnP/sZq1evpqKign322YdLLrmEjo4OfvzjH9Pe3s4xxxxDNBpl7ty5rF69Go/HY12j2HtvybX72u/1evnXv/7FL3/5SxKJBI2NjfzsZz9j5syZBe+VTCY3Oz6a0UU+nyeRSNDQ0OB4UHTjyetcLBrNiKO7u5sxoRCdA/ge9fX1rFq1atQJZ5UPP/yQSZMm8fbbb/caNd5hhx24+OKLHXlqr732Wh5++GHeeuutouek02nS6bS1vXbtWiZPntyvfddoNBqNkzVr1jgyxrjRkeYhRD4P766DdAb+9jJ8vBp2qoH7F8PEGnhuGWSSgHzMSZmvuSIX84HXDw07wJg6+MbR8EkLnHSoOPyAL0DpwBdg0gwSmUyGTuAKYCAkbTcwv6mJTCYzakVzLpdj7ty5zJw5c7M2i6amJurq6hxtdXV1m00HNn/+fK677rqC9jVr1lBeXr7tndZoNBpNAR0dHTQ2NhKNRjd7nBbNg0RLN/zuP/D0SnjxPcgY5o5W8zVuvnaK9Y+bAAMIAjIA1cevtLksfLZeLG/8BwjBbxYCMfOACOCDQDVMnQS3/zfsXgkB/a0YMUQYGNGsvyIwZ84cVqxYwfPPP9/v177iiiu4+OKLrW35H3p5ebkWzRqNRjNA9GV/03/7tgPrevK8n/Zw41p4+lNI5RCCt8U8oEpZL0YMW0T3NwZkMvDSO7DPbUAN4IdQLcwcCz+YDLNioG2UwxM/UDIA180OwDWHE+effz6PPvoo//73vzf7Ux4IG0tzc7Ojrbm5mfr6+l7PCQaDVhotjUaj0QwNdMq5ASBLnv/Jt/GldCv+pi7GtyY5rKuLx9KQqqPPCHFRpBUj7do2ihzrM19lXvugst4bNcp6FlIZeOoTOOI18D6Vx7six/R13azNj3a5NLzwD+AyGsnn85x//vk89NBD/Otf/9qi3K8zZsxgyZIljrbFixdbVc00Go1GMzwYrX/7+p0WullOB7fyCf/JB0VkNgix2mraNsYA8NZ1kWsunpbKvIggbr6qs7hUm00aIYKziDBij9luYAvmEnO/+xOOma8RZVsK5hqKk/eQz3l4raWUHXxdVI5pYieyXOUtYzbVePWz15AlRN/PS5otZ86cOSxYsIBFixYRjUYtX3JFRYVVfe30009n3LhxzJ8/H4ALL7yQgw8+mJtvvpljjjmG+++/n9dff50777xz0O5Do9FoNFuPFs2fg9U08xGt/InX2UQEDxCnkhpPJ61Ub/7kFterKlj9OO0aUjwnsCPNMuDbm2CW1wkq68XwI0R6TGlzi2jzV2RvXZfZ4OFjSvgB6/khn7EzmziNGr7OHgT0V2pIMVD2jJ6+DxmR3H777QAccsghjva77rqLM888E4BPP/3UkbLowAMPZMGCBfzoRz/iyiuvZNKkSTz88MM6R7NGo9EMM3TKua0kTZqHeYwX+Ig8eVMoxwBoMYVynEpLNLfm7EhzrrkM1AnzqnBWo8wt2CK3U2kHkbagW1mH4gpGKqVS7Jlg8jUGqDbMmPmqCvcaQPmbLgVz5Zi41VbtbaXanLkYow3IU0crMxjPmRxOYEDkmmZL6OjooKKigj8B4QG4fhI4C1HtS09MG3jk56nHW6PRaPqfLf0/VocFt5D3eJl/8wxrSOBBzs2Lbfac1pwQzpVj4rRtjAl7BqZwVgWzHxHNbcEWrnEGTjBHcEaX4xQK5hpEP80oc665TIk0OwWzjQcDD8+zlhX8imp8nMvJ1LH5iVKagaOEgYk068chjUaj0Qw0+VyOtpb1tHz2IYmmj+nZ9An5rlZ83a2UZNrxGd34cj348j2kSirZ9wePDWh/tGjug+e4nXd4DZkcuZwoCdNgHCNeNMoMCEHpLRJp9iOivHLk4+arW0SbWSxIANVAF0L4bjSPkyJYXkf1L8tXn2t/BCG2fTg90jXKedJV0gaMsQ/x1nVZUeZqr1Msiygz1FhR5zjgoZUcv+V2onQwiUkcy7n40cmhtydaNGs0Go1mOJDP5fjs43doWvFvcmuXEWl/n4bMKqpIULUF5zf19DYxq//QorkITbxMM2/yIX+nmzBRsISymzgxUyTKbSGaW6mmlmZ8XgNfnUhxsaG1TL6BQEaY5bpqy4gjBDMIwSyPiZnraUQGDR/Cz+z+JH2ubTnxrwxbMLtFtnqNMXabt1p0oG1jjJo6p2CuUczXMVdePHvbwwd8yB/4LmOoZDY/IdDLeGr6l1IGZiJgsXo6Go1Go9FsDWs//g+fvf4ogU+eYULXchrpoNF1TC7vocVTSWtJPV2hBrKl1eTDVXjDVXgDYTwlQbz+UkpC5fSeyLN/0KJZoYVXWMq15EjjATyECJEkRZgoiaLC2S0UpYj0mTP1pLfZh0GgXtS5z/hNv8wK643FUoqIQrcgxLSMJrvTzKXZ8pRz6kRAKZy7EeJbvqoPZ+okQvUVLMHsM9/Up2TrlVF3OR7yNWoqf/HqYSNxFnImMTx8hd8SwlkpTdO/DFR6uK295u23387tt9/O6tWrAdhjjz245pprOProo/u9bxqNRqMZmuQMg/ffeIb4639jXPPTNObXMU7Zn86XsCowiXjVXvjGTqFy4j6Mn7QPteEItYPWaxstmoE0G3mNb5ChiwCQNpVmmBRJJU4nRbMUgmvM5yG3t7nN3PZjUIsoavD+pl0ByLSYgtmfh3EeaEYIZJnFwp12rhSoQ0SbIwifsxTDUjBnlVdV7LrzNUtiymuNeU3ZFjfblMc1f4kUyeK1erOVWJwPElErXK5ue0iT5HHOpJpyZnI3Pp0YbUAYKvaM8ePHc/311zNp0iTy+Tz33HMPxx13HG+88QZ77LHHAPRQo9FoNEOFj1e8wobn72Gnpn+yG5us9p68jw+Ck2lvOIjKPWYxccqB7FY6ENPX+4dRnT0jS4J3uIA471r1RgxTaUrhrKaOSxK2BLIPw1pPEKWVauLELGEZJ2b5nP0YlpBuTdbQ2VQNG03BDHaUWZwo+NB8TWDbM+TEwBRbL5gjCGsG2PaMmPlao7x/DVjB3zH2VyNS38qE8CprW/qXpSiOEbcmBjqjy4WvIZKAeCgB8JBjPDPZg5+j6R/kTOAl2B97f9IFHMbny55RVVXFjTfeyNlnn92vfRuJ6OwZGo1muNHe1sJ/Hr+T2g8eYKfcaqs9kQ+xsvxAvJNn84WZxxMprxy8Tpro7Bl98C7n08bLgBgEo8AELJACT1o0JDLKnCCKj6zwL5tCWornOjbQSnWhYC7NQCMQCgp/s1swS5tGHDvThYqfwuwZasXdEgqzZpQihHYEIbBjOG0Zpcq2K+gbqW+lOtxCgiiVLvuFe71YmzvaHLa8JYIAPWzgGVrZnx04nQnMKbieZtsYKE+zfGbr6OhwtG9J+WfDMFi4cCFdXV26Kp5Go9GMMD586wU2Pf0bprQ9xQGeDACZvJ8VkRl49j6FyV8+kWlDOJq8OUadaG7iIT7iZ/jImXPoCsVyGucf/RRhK4IMIspcbXmXDRJEaKWGAGmHeG6lmgAZSzzXhZsJTkjT2lQDLUGhaCZge43fM1/j2EJZvspjUojQ4Zb4mnsrox2juKe5G5eQzlBdL+6zMxcl5rWjyQmiBWLZR5aoo4yhEMxJwoTNh48QSZKELOEcNA3bcnzXchfruZfd+TUx9ityY5qtYaDtGY2Nzikb1157LT/+8Y+LnvP2228zY8YMuru7iUQiPPTQQ0yePHkAeqfRaDSa7UnOMFj+zEJKXvkte2SWi0YPrPLuyIYvnMpuh5/FF6uH/xymUSWaX+Qr5OlA5BP2OYQw2AI6SJo0QZKE8GNYwk9Ele1z4lRSQwtB0pYFo5UagqSpo5kAaVqpsSwe8VyMgDfD2IZ1tJZWC3+ztAfL6DIIUSxFsrRfdLJ1EwGLCWY1g0YPUKlcH2zBXAqBGmcEUQrmBFHrgUH1NlcWEdDObYMwSQJkrLYg6YKHEQAP3fyH7xJmd/biz3gs84xmaxnoiYBr1qxx/JS1uSjzrrvuyptvvkl7ezt//etfOeOMM3j22We1cNZoNJphSrYnw5v//CNj3vwt++TWiLa8lzfLDyVy0Lnsut8sJioVUoc7o0I0r+MRVvJzfOSgiFi2s0EYZAhYwi5ImgRRQiStY4R4juDHsDJlSDtGDa34zShzGzGCZGhgHQEzmpr0ip8jWjdVE4okCUWStEcqoSloi+c2oN1cjyCEdAKoQBhJOxGe5G6E8O1NNKvhRTVzRhmg2ocqKLRyRNLW7oA3Y0WUpWCWArmzSLRZRo7ViLOMMgOO8e3tcwDwAJ28z4vMYC/uIsruRW5U0xcDVUZb/sdRXl6+xR7bQCDALrvsAsDUqVN57bXXuPXWW/n9738/AD3UaDQazUCR7cnwxiO3M/bt3zEtL/LoJvIh3hl7IhOOuZhpjbsMcg8HhhEvmp/mBMSMu8Lostua4cNwREJ9GJanOUGUAGkCpInRxnoarGOqabW8zAEy1LKBABnHZEApoAGSERH6bW8xBXMEsbQhROxHZgfiOHM1Sx0qbRVyXaJOBpTtpRTmaJae5phyXjVQb4vlUCRJLBB3jE81LdTQSpJwQWo5uR62POAhIq4JgBIprNXPw4fh2JafjUGeZZxJBQewD7ei2TqGSvaMYuRyOdLpdN8HajQajWZIkDMMlj32B+qX/Yr98usBaKOc9yZ+iz2Ou4QDYtV9XGF4M2JF81pe5BV+SphuIGgJNYlboKliOkMAHwZps3qdH4MYcSv9nNwGWEcD1bSagjqjiGfhb5YWDZlpI0SShoD4omUiQdglSaqpErOonhC1E8z1FoRQjpvb0svsLqUNTsEMtiAuxZ4kGFXaVaoR0efOIKF60ZFwwJ6sFyZp3a+MmsttVUDLbXe2jDQBgubDSMC0ZEhR7MNwbEvUbQ/Qxms8zWFM5/8oMx9YNH1T6oPQALhbevIU/5WjF6644gqOPvpodthhBxKJBAsWLOCZZ57hiSee6P/OaTQajaZfyedyLH/2b5Q/9zOmmZkw2ihn5S5ns9fxFzEjUjG4HdxOjEjR/Ajn0cMngMcx6QyKR5ft9ay5GPjIEiJJhiAZAkRJWD7dDWZOtgAZa2JcnErLyxwkTZspnmWEWUZgP0T8ZBEmSUO5iDzHI0naNsbItZY5y2p3YkehO3FGmlPYmTCg95RzIDzNpTiJYAvoKHgrRF67dCpA5Zi4QwiHSJImQCVxRSyHlEwabahIsaxmHFEtGmKsC6P6gENM29FmmQYwx785jTEczTR+gKZv/H7wD4Bo9m+laN6wYQOnn34669evp6Kigr322osnnniCww8/vP87p9FoNJp+48O3XqD7sSvZO/0mAB2EeWfCGUw58YccMATSxW1PRpRoXs/7/J15ROgCwpa1ohgywinW7UlrBn7HturBBWGzkEJ5nRnxlGJZRplDpAiRIkzKyt8MQnw2IozyH7EzICYHtm2MEY6mIJqiMx4VmTXUeXTFBLP8nmbBNedOIJ8TVMEsBTgIwWyt21H4yjFxYt44GQKWQFbTzKUIW/cv96eUsY7S6Rgv2Z7Fh1+xYohXZ8fF2DujzgY+RzYTD/Apz/AZb/BV7iJQ8DSgUSnxQckAiOaSrczu/sc//rH/O6HRaDSaAaOlaQ0fP/BDpm16DK8nTybvZ1n9Sez+39cxYwRkwtgWRoxoXsz/8SavEsVLgqjDRyttFTIrRpA0Bj5CpBzCzY+BH4OsKdr8GERIkDEzaQTJkCRsXUtOBFxHg+VlDpEkbsZkg6RpYJ3ZFiNuKt2wKZ5bqCbtDZKOClFoCeZYVojauF+IZT+28O1U1nsTzH5sUS09zfKcmPkaAWpssRyOpoiF44AtdKU4ThMkRpvVLsWybAe72IlKlARBMo5ofoDePaw+sg7hLF/l5wb2Z9lFD3/hWxzJTYxhx16vOdoZ0EizRqPRaEYcmXQ3yxbOZ88Pfs90Two8sDT6FcaeOJ8DJu422N0bVEaEaL6Vn5ChBfAUCGZJhsBmMzeoUVC5L02AMCn8Zro0EEIwTZCUKd6kRSNBlAQRgmSoo5kwSauwSdiMOodJWdHoFqqJ0imWsFKWO5agsyVmC+aYucjKgDFEtNmdPUO1Z6jZM9TMGGU48zVnfURq4uK+wgkMfMSIWwJYRpvdEecUIaX6X6c5VrZvPEja8RkY+Kxx9/fym37WsmUI4Zwx/eQSKZZT2AnRPeT5Kz/mUM5jN6YXve5op8QHJQOQ7ack1//X1Gg0Gs3gsuL5vxP91xUckPsMPPCBfxLGEfOZOl1b6WCYi+YMPVzDL83opTu6LMSV9CX7TdGr5gYW0Uw7VOuOiDq3M5aQSxFyiGUpkutoZg2NVqaNsawjpAjlMElrUSPSIMR4Q3gdCaIYMR8pokIgd/qdpbSlYFYLkkhU4axGoKVgxtwfETtDsYQl2FUPsxpBVr3Ioj1u9Vd8BraNo1hlQDV9nxv1c1DFtCwmo5Y0l1YXlQRRPMDfuZcP+IjZnFrwHqOeIDAQKTK1aNZoNJoRw8Z1q/n0vouYmvgXAK1U8NHelzLta3Pw+opXTB6NDFvR/CkbuZm7yeMlScwh2GS1OilRpcDzmdYLd3ozvxJdBqeFQEanpWAOkLGunSBKmCQJooAQmLU0U2uK5ziVRM0YdJSE5W9uI+Zol6JaRsmj5QkS5VESySjUQOdnNcJu0Y2IPktBvLnsGRFlW7VnmDmYI6ZglmMjo8zuqLK8L9vHLMR0WhHL6jXkOAbIFEz+s8c3g48sGdNyoQrkLD5CJC3hnDZ/IZDvI8dajj8In/N/eIlPSTCH7xZ9z1GLHy2aNRqNRlMUI5vl9b/dzOR3f8VUTwoj7+H1MSey22m/YHplTd8XGGUMS9G8iLf4G6+ASywDlvCUgipKgrBSnMTATxI/QTPncm+T06S/OWjKNincRBRZmj3ShElZ0dR1jAUgTIoG1hMmRYKoI8qcxUfEEsq2qDbwWf1OYApmhG3CNyFLqlNEzjMtZiGJboRQ7nENjrRlqD7oUnFPgUiSQGnGuq7EnSIOhHiNmbFwFQN/0ZRy8riIcg11QiA4o81ZfI6HE2m7UIW03BalyqOOdhmhl3QSJcEn/JA7uIFz0Zho0azRaDSaIny84hV6Hv4++2dXggfe938B7+xfsf/eBw1214Ysw040/4zXeJFPgRpqzKIiMeJWtDZGvKA0s4w2S48yFAo6iYw6y8inelyAjOVplqns1ChzHRsAMTEwrkSTw+ZEwBBJGhA5mg1TloMQnzKrRpwY62ggGhYCOpkJWYI5VhUnWZoh0y0EfKY7CFmfWBw3YVivgVJnwRIQOZjdwjdKosBmoYpoNVezfFUFdMgcVzW9n4r74UOdcCnOT1q2FimcMwQIk6QZ5yxd+UuCKpzt9QRz+C03cg5hly96VOLFmX5Qo9FoNKOa7lQXb9x7FdM++19KPAad+RDvTJ7LtP+6FJ9/2MnC7cqwGp2f8BaPkwCqiNFGC9UO4exGRo1FTLlasWmIdgO/w0srI6FyMqAUz7ISYMb09KreXnmOFHbS21xHsyWeQ6aHeTUTAdO/bOZulpFooED0J4jSHKglViVSvSWT4W0SzIHSDOFw0sp+IYWtFPQghLC0aNiTHjvNfc48zDIqLq8h71tFbrsnXDofVgLm5xO0+pUkZI21bFcFsmrL8Jkly93HJAjwXf6P2/gGlY6Zj6OQUgZGNG9FjmaNRqPRDA3ee+VJQk9cxAxzot8bZQcx7hu/Yf9xEwe7a8OCYSOaL+QDXmMTwsEqiom4xZy7UAlgZbmIkCCspJhz+2+l+HXmZBZtWXxkCBImaQk5NQ1aiBR1NAN27uaQMulPZtCQ0eTVTHBEoqWvGbAEoZoFJElIHBOuJBM2hWYmgJH1Y7hEs88UzT5/lmAgUzART/TLFs3ytVjEWYpoSYgklcTNQi/2JD41Ih0kbUWd5bYaUfZjOMYtRcgxlnJ/khA+stZ4BKyHk1orw4akWMTZS45v8iSLOAb/8Pma9z8+dKRZo9FoRjldiTgr/vcS9tvwN7yePC3EWDPjJ+x75BmD3bVhxbBQE4fmV7HOkwKqrQlp4ExfFidGNa2m2DKI0eaoSOfHIEOAEFmrpLMkQ8CyD0hkpDRgCENBmBTBdIZAUByT8EUtUWxn6khRS7M5QTBFrWnXSBN02DgaWUMja1jNBCvSLIXrOqVEdIKolWotRpwgGbOXQQhAOhCwrAwS94ND0PRe2/dlC2ZVLKviWBXLbquGjFYbpjc7SsL6HKRYdmfKUCdayrzLcsykZUMK5wAZEkQJmiXJVRuHtGXIiL1aPVDNrNFirRscxIu8zJcZtbirQ/YXA5D7WaPRaDT9z4rn/07VkkvZP98MHng19lV2Pf3X7Fs1ZrC7NuwY8qJ5z85WmsIByFdT7S0soKEihHOLWY8vZAk+O+9y0BTGmQKvsr1uC76AoUSd04qg7srgC7aRCQZJErbEczO1Vj5mVSQ3IMply3R0sr2RNayh0Yo0S9sGiIi1EP9xkmZ9QUswY0++E0W/7Y/Rti44BXOQjCPKHCZZkEs5ZkaRAUe02RmJ7jRfndsqDk+4kSGYzpAOBqx9GV/AYeeQPmd3lgxpufCbEwE7zXuroYUWaswJgpGCVHR+DFrMnHxeDPbNv8Ibnv0L+jkq8DEM/pVrNBqNpr/p7GjjnXvmsn/rwwA0MYaNX7mR6V8+YXA7NowZ0n9Oj+lM8J+uUugqpXJM3GpvNSPObWb6tomstkSWFI1uG4EUzDKqCRRElyV+DEvs+cz0boYfAt0Q6M5g+KGsI0fYlyJGinhViHAyRU241ZGKLkzSihxL8Swjywmi5sRAIZINfI6MHw2ss64lBbCIznaaE+R8BYIZbP+xjO6qqd9ktg/5HmrBFrCjyLI/qlWjN++yanMJkySQNsc2badXMPz2Q0c6GCBgZMj4hEDOmoVPZFYS246RIUXIsm2IcbA9zPIzXM0Eh0gXhWOcaXKSnhA7GO/zqe8LBZ/1iGeg7Bm6IqBGo9EMWVY8t4jqJZewPxsBeKX6ePY44xbqyyv7OFOzOYasaD5urcFjrVG8daKqR9vGGIwxBbO31RJP1bSwhkZLMFcrk/lk1gwpjFUbQJqgtU+KZ5+Z0wKckWV/Wix5nxCAch3Ak4ZwUgjR6k2dhMqSVNPChmAdIXNSoG2EsMX0pzRa1w+RYizriJjRVGHLCFsPAjHipAjRZt6z7LEqmFXxKu7fjjSrdhR3tURRx1C0udPGqRFmt3dZjVRHkyLaHFDyRnsMe4x8WciY6e/CXeKhwwjb1opOogRJm7YMO9K/gVqCpGmhhgAZWqkuEMh1NLOSXa0+ynvf4Mq4kfSUEUtuoDVYg883EDnYhiilDMy/8mLl2zUajUYzqHQl4qy4+0IrurzOU8umw25m/4O+NrgdGyEMSdE8dUWOZTkhgHLNZQ7hXDkmbvmXwVn+WiLbkoTNzBf2RD+nYHZmy5BIW0agW4g/ADqFjdMPYIBHRu8MCJoCoqtWiLFwV45QUERka40NhHwpq2hHJ1FCpKyos4HflK1RRaQKa0aUhGmoCBFxRM3FHRlmtFl0w/4ofWSLjovMVy2FO2D5kkFEfW3ZLrzKqncZFI9zWsnp7PMS7rIjy560GCiPgVWAJahkWzD84kEjEY5Y15T2FLV4STWtrGaCKZyrrawaMuIsHyJqaWYDdfgwLD+zbAP4sHln672D8W5axoSIlYwSU66fIfqvXKPRaDT9yTsv/IPKp+ayf17Mp3ql+nj2PPNWGqKxwe3YCGLI/Tk97CVYljAjgfWF+33ewgwZqjDsxK4GKH7iDxM0RbPtaS60GYBp1zBtGWrU1GHbNQUhIEpbl9rtZRty5MvA0wU1/nYAmsurHTmcpUiW3mc7V3On1T7WFNSyKp6PrFX8o5hgFsVR/NakQVUwy0izmm5OlvGW58r3ty0YKYdXWc29bOAnaigR564cni5s0th2AENZ70RUJgSCXdBRJWwaCZ8QySFSZAg4Jv0BinAWkyADpK3y434MK9WfnAzobtuQq6VyTFz8UgHkfXmq3/GwaTJUjIY0zgOVp1kXN9FoNJohQbKznbfvuZj9N/4VgPWMoXXWL3V0eQAYUqL5rk/gX6vMDcWWqkabJXLSnxp1ltFkWzDLdGYyT7MQglIwS8Eqf9ZPEySUTVo+Zo+BLZila8CPEMtSiLQDQYR43mRGWc2EFv4uCJfb4tydw9m9beAjScgRdRZe3pglhAMEyZApGmWWKfWcojljpoFLmmNkVgR0WC1SjuizWqFQPTZKgmiHLaDN5wJQk2XIhw3DHAf5M35QjGW+QmxG2zMkKgJEjYTlb46bqflaqXYUNammlVaqrYwacWIEyFj2Del79mFYKelklNnnNWhpFtHnXHOZeHMvVC0FYwYjn4GKNGtPs0aj0Qw67778OOVPXMj++SYAXqn6Gnuc+WvGau/ygDBkRPP6FJz1CFBlNrQgIs3ie0DOX4a3Wgjn+KYY1VWtJIhSaXqZA6bxQgrmpJL/VxQjaXNMfjMswVkYhvNlndYCSxRK3d6NPXJlCMHcZa4HxfH+LqAVKv1CZBpj7Il+Moezui3zPINd5EOKZz8GSTPamyBqRWTdoh+wItNgTmh05aB2p59TJ/i5J/u5t8PJlLgvSTGxLNv95mtQaQuCpx2rxLcvaxafMaPNbv+yKpzlLwRxYgRJ00wdATI0UwvY5bdlpFn1PoMimOV2AvZcAisOY2QTxC6t3p+MIlu4RqPRDDVSXQneuucSpjf/Ba8nTxM1bDz0RvY/+MTB7tqIZkiI5nQWxt8MlCPEsowyr1DWm4Rw3tBeRqCmg0QySnU4bU7+a7Vy+wJWVTlbMIscx1JEha0kboUWDYssdpQ0rayr4rDLbO8yj+lGCOhu13HdYpJgNZ00V1UQJEM1rVTTSjO1ls+5mhYxiVCZxCZjwICVDSRjOrU3J5rVHNZuS4pMPVcsuhwhYUWl5av0eAe7EN8YGX1XHyLUcfMr46dOGJPfNgPyZcLaEa8KWX2QQlkVzGoe7AQRxrKOd5lMgDQbqHPYNlqpoY0YAdKs3ySylmR7zLFpooB3mmD6I/Dq7MJ9IwYdadZoNJoRxXuvPEnZ4xdyQH6dlXd5tzN/w5RYdd8naz4XQ0I0Ry6HXBinYFaRvWwC6iETjxKob6UzZ6Yn82aAKDWmeK4mbTqGxWQyKcqEuApYtgVwepuLimgpDN0iWkZZOxBWjVKEVSONHS03hXTeDHJ60sIeoeZqrqHV8jmLtpSjgAsI8ZpB5ITOEDAnMQYd0XK3cFYLf8jJf2rKOelrtgWyLEySsY6xrBztZvaNbuwHBbkt71OSVbaDyjER89xyeyy6qrwE0mniQfEzkvQvy9SAdTRbwlnYMsRxDaznXXa3JgYGydBiPob4MWhO1pFpKSdQ04G/xCDzZrkt5CUtgAde64AzH4O7v8rIZKDyNGtPs0aj0WxXUl0J3vrfS5ne9ABeT54NVLH+yzcw/Sv/PdhdGzUMumgedzVkk0ASWzCr4rkNGIPdU78IcXXGxdS16nrha44Rt1LPycl/YPuc0wQIkXREZ6WwlFHnQDotJralscWytGmoghllXQpmNcq8CWHVMNc9m4BasV25MUUlKVrGRKzcxDW0UEMLzdRZaddixK0cy0nCdio8M4K+OcGsPhQESSuiWc3ZnLEmIkZJWOOk+pllzmWPvGe3r7s3e4ZfOT6o7C+zxzVf4Yw0ywIlUijLnM1ps+CJTNcn8163Kk9X8ph4LgZAZ1M1+PNkWkyFPh74zOyXGnFuES/3bIR9IjB3JBYOHKg8zbo0t0aj0Ww33nnxMSoWX8QB+Sa7qt8Zt7F3ZbFIo2agGFRn4rn/C+s+UhpalAWwKjvLVynAOu10YSLKrPhulWixjKLKn/el71WKzKw5mS5BBAMffsMMn6kRSRlhTiuLasfoUhY5Ma5dWQfbrhGxrynKc4vJiqBmukibpgkRVQ6QcQho+SqXkGk1sRd7n8xDLc+T6fdkmyxpHSBtTTyU+wNGhrKOHGUdOdH3VuW+W5V76jbv1TAXeYwqtFVPeKlYPJtEU2yTmeOaVuse5IOALEceNy0XYjKgeJVFYcTXIkMrNdR6RYaS6gnmPn9eiOQmhGDeSKHYawE2wUWPw5ufMPLwD+CyFcyfP5/99tuPaDRKbW0txx9/PCtXrvy8d6fRaDQjmkT7Jl75zbfZ48lTGZ9voplq3jr4D0yfex8VWjBvdwZNND/wEvz+r+ZGXNkh1z9ECJp2d7simEvlBDfxqla0k9HHtCWUnf5fNTor92WLFb1QBXRaaVOtCTIqLcWznBCoRqk7gHVYIjzanqFhUysx4lZkuNIUxwHSZhZicdNBU9RGzImMATMbhpjk5xTRQSl6STuEM+CwZgTMaHaMuFU90IchotzpNjFJTz4wSHu0z7yftGuR4yHHpNt1nBwb9TglMm2L5AgJIoTMSZLSliGEcyUhUrQRI2S1J61sGnI94M3Q2lQDpRnY6LEftEBMiGtFfJfkg5l8SIvDvtfDJmftl+FP6QAuW8Gzzz7LnDlzePnll1m8eDE9PT0cccQRdHV19X2yRqPRjELe+tf9JH81jf1bHgREZozQ3NfY+9CTBrlno5dBsWd0Z+CU+eaGkr/X6k0cp1XDb25/pLR3BqE0TTITIhAQ0VkpmtMELR9w2IxcQqFgFvX/NjMEqkWj2ERAmSXCh21FMBBCv9Q8J4gQ0WCJUMvjbIhqeulwkBQhfBiWkG2lGgO/FXlOm8nmAMvza2BYaedUpAhWCZDGwGcVOJHVAiUGPkKkhJWjS4m4qzaMTnNbXlp9oFDbVEtGKbaNRdozzLkKni5RECaUTtIarLFE/XozHV8zdURJsI4GoiRYQyNhUqxjLCHTqhEiaeWwlhMAA6VpMp+VQwhImf1pxvkrhuxrjdLmgbHnQfregiEdvgxUnuatfNx+/PHHHdt33303tbW1LF26lC9/eST6YjQajWbbaG3+jFV/vpBpHU8BsNZTR9tXbmT/Lx03yD3TDEqkefLZOKPLnRRaMcApoj9zHQ9kuoU6k7aLFGErspyxXgOOVxmBVsXmZrNoFMMdYe1SXlH2yXUZZc0C7eBZJwRzukykt/OZCeQkPrKWz1gtUCIzZkjbRsic7hg0I85ykZFrGXEW1xLrMposfM4py/4RIUHUSBBOpsiUmin31BzLMuIs702KZ2nJUKPHaoRZtkvxLNPzYWfQSAXDVgq+hJlJxBlpTloVA9XIsxTZIdP3Hc/ECEWSwstcirBltIOVzU8+gEn8iO+WfI1DJgdn3LxlX4NhwQDbMzo6OhxLOq0a3XunvV38hFRVVdXHkRqNRjM6yBkGr/7tV/hvn860jqcw8h5erj+NqkuXsqcWzEOC7S6ab74PVr1nbsSVHZ0Ut2m4fwaWwqxAONvl3dxC2S2YbcuGPYkubpZkNnoLPEurhRSTUlAWW1etCTL67P4VOotVRCVspKg2Wh3V/3wYVuRXRo6lFUNG1N2TACVSgPvIWiI6bKaZk2nrwiTJELAEux+DcFdGiHh5H1Lst2MLYxlFlsd0KuvuxcD+KV+e222ve7ogWSYizVIkS5tGiGSBFUOmolO3U4StSYHhQIr2lkqIpIVAjiBeO7HzfkPh7yvyGHP532fg4ecLhnV4MsCiubGxkYqKCmuZP1/+hNQ7uVyOuXPnMnPmTPbcc89+u1WNRqMZrqx69zVWXv8lpr/9Yyro4kPfznx8/N854NzfESqLDnb3NCbbVTR3d8OlvzQ3UkUO6OzlVQrnbpwiqNMUzDlbFPcWUS70Nhdm0TD8phKQ2SGk+FWzZxQTy4ayqPYNcPqd0852/wbnoTLi7cOwJi9KkSx9yKJ7hiV2e1/UyoBZq02SJuiIbgeMDMkyMWb+YjZTGVmW9+FO4SZRx0X1L6uRZnM9WwHBdI5EMGqlv7Mn/1VakwBDBZFm53aGgPXQE4okoSko3sP0KoP5nnGc7dKWIb9nEg+c+LMi9zYcCQ7gAqxZs4b29nZrueKKK/rs0pw5c1ixYgX3339/v93m9uTf//43s2fPpqGhAY/Hw8MPP7zZ45955hk8Hk/B0tRUJHm4RqMZVXR2tPHy7efS+MAR7N7zDsl8kJcnXcyEy19m0r7aujbU2K6iefLXcQrHFLZg8SttCQoiyg4x2ma/plPO6LG6LgWzu9x0scmAIVXFd7PlPlBjM/vUHLnS19zl2m+S8QUK/Mky3wUIv646YW/zwjlbcCzYeZftjBppq8iJLGVt9dEt9mX/5f2qDxLFxkIWOVFtGiCi1mb6OX8XJMsChI0UnYgUgtKmIUuIR+l0TAKMkLAi0C1UW1H3MEkyuQCppkpnFhYpluPYglm2fWa+xiggn4S9TitsH3bI72B/L+ZXtby83LEEg+rMy0LOP/98Hn30UZ5++mnGjx/fr7e6vejq6mLvvffmt7/97Vadt3LlStavX28ttbW1A9RDjUYz1Mnncrz+9ztI/vKLHNB8H35PjjfKDqL9rOc44LRr8ZcE+r6IZruz3SYC3nwXrFqJmJyl5u+V2Qpi2Ll8QYiZHiCKEGAxs13ur7Cv3dpUQySWwAgLiRgjXjSiXOxVpp0DMHw+/GouYin6ynDmKFYjzL0ho6uSdrPP8lxTdPjN68s+SF+yihTO7sl9W0oWHyGSjsmEkgBpsvgIGynCXRlH38w3t+9Hbe9tDOS29EGXYo+jHA+/uF62GsJdGZrLq00fc8SRj1m+ismAY63JgOJ1B6J0soZGAFI5kbqPNsQ4t2PnZ5b2ELC9zgnzftSHtrjZbl7q7ZVwy59h7nAWz4qVot+vuxXk83m+//3v89BDD/HMM88wceLEAejU9uHoo4/m6KOP3urzamtricVi/d8hjUYzrHh/2TPkH/sh07LCq/qZp57WL/+MfXVWjCHPdok0d3fDpT83N4rZMqTtQlKirKspwKRQk/YeA3LNZbhRs2NAYX7m4lk0fISTZuekIFAiagUTyLYEdwlpGfWTwjICeR8E006hXMyrnDELmsjocrGsGc63FtfImEI5gzMCKHI0Z6zME/KBwXpoUDODyOwgMgtGMVtGsXvPKseXKW3mQ4g/DYnykJUuT0wCdEeanZP/ZORZtkdJEE/GSHcHadsYwzvBDJFXIAR0GUIMq9+xOPZ3TB1G+V1LmYsHLvolwxvfAC5bwZw5c7j33ntZsGAB0WiUpqYmmpqaSKWK/YcwMtlnn30YO3Yshx9+OC+88MJgd0ej0Wxn1q1eyeu//C++8Pfj2DX7Hsl8kJcmzqHmB8t0GrlhwnYRzZOPwhmRTGFHMN2RymKT7+OIqLN6vHpeiy0IexfGvQvmqJn/GISIBZzC2FDaVM+uz/VaDMM8L2i+lirHZ9XDnKYLWQq70Iwh1qXlorijWaTSkxk0RNYNdUqh29gh2vM+8/6l/1gKZ3kPcpHWi96Q96f6mOWvC0Hs6H03hJMpK2tGmJRl0SieNcO5bb2GE3TGo+Q+KiPXWiYeqloRr+2ICYFxYI35KicEliDsJ01me7G5Fj2ww6GbudehzgBPBNxSbr/9dtr/P3tnHh9JWef/d6cqVd2d7qQz6UnmYGC472O4D1dRUUQXFX+6nisKuriLiwjKggcqLt4ouh7oeoC6KrqoiLDKLSzqco7cwzXAMEdmkklnutOdqnR1//546lv1VHVnJjOTTALU5/XqV3fdTx0z+Tyf+jyf7+goxx9/PAsXLgw+V1555fae4ZzHwoULueyyy7jqqqu46qqrWLJkCccffzz33nvvpNs4jtOSTJIgQYLnJ0aHB/nrdz5A8UfHBjFyd/W8hrEz7uSYUz9HOtMq/iWYm5hxe8alP4KVz/oTHlHCKK/vIczTNYlmN2e0nbUbjOejMlQgv3PZP0yrZ1mfbvU6+4MFbQtr3A3tBLoyLIqpGfs2YucFUWIxmcXTJ6JuOiyq4qJ8za5fp0/aGCfM+nS785QBgyodQ4+yM4L5ecpUyQbrOti4aeVVsPXzkYg4IbtCgnUlWc4HbVquT4/27RHmVjvQnAfWOHhZtZHEza2nvyWfud10ML+6SHWchByDsvM8jZonZDlDqCZ3oaLo5D6JfaMT9fzVCJ69Vavggi/D5z/K8w8Wkz+D24PG1q3ebDZnoBHPD+y9997svffewfSxxx7Lk08+yde+9jV+8pOftN3m85//PJ/5zGd2VBMTJEgwAxgdGeLhX3+eA5/9L45O1SAFD9qHYJ/07xxxyN/NdvMSbANmXGk+p10KQWdsWlRkh6h9o52Ft0SYniEotPoFpkqcdRIKWuScThr1QYiixELLoKhgWny8+ja6OpcGupSqa41DzQ7zpUFSQOxIEogQZsdPbdYJdByuv9zRyLdAV58Ftr9m3ejAqENdOi+6Qi4k2PbPR58v5xhX6dPBAUJPtK8w0wUpB8o9Fn3ecOBlbhc3F7dq6N9l8lSGCuEzIJ0tCAcA5mnfCatpH/1+1VHPaA0Yq8OGf+YLn3pdy3V+XmCOKM0JojjyyCN54oknJl1+wQUXRFJJVq1atQNblyBBgu3B6PAgf/nheaS+fhDHrPo+uVSNpzqWcv/LfsD+/3YLeyaE+XmLGf3T9y+fgEkFJiHKQqziZCYXXT1Ic9iGuMJWohwdJAiKaNqG7yvWSd8YIXHWiaM+LevGr6bYEcSSYaJIo56asYVyxB4mJl6gPutkWSfM9ZhlQwqcqHOzIipzHAFhtyE75o+M6wEkEk+Irh1sEJ5z/Dro107Uedkuh+oIdRMZCPh0905BBcAsNQZ9pXltMAhwEoXZn18qlKmV8oo4P+03oEQ4EBDCtxeS8iVxgjZKlS4FFzw8r/qdsPZfwLkHgDPOe5Tvfmmflus3pzFHBgImiGL58uUsXLhw0uW2bW8xiSRBgs3Bq9cpDa+jMrIep1rGrW3Cc8ZoNprBH+aOThvTzmLaWTLd88j1FMkX+pLkhm3EhjVP8+TVX+DAdb/hmJRS257uWMLGI87lkFe/mw5jKweDJJhzmLE/fY0GfKddDGtcPRayVSNKiPUkDb2VZcIkjc20Pp40MTlxViqz5f927A5MpxG1JcjfLiHQ2mC2SLlsPTkCrf0Q9TKb0LQVYa5mVQqzqMg1PwROTUsdPzviPRYbR7wEuD5t4wRk2fPPUgbbCZn2MHy1NoeNq6Z9i4YFpKT9Uu1QP1di59+uw+CfKx7QT9Sm0aMGAo51d2DhBoVLhDirEtlhyWydQBcoRYhzrZQnUyhTe7o3tGWAIszr/PuwGFhNWPBkA6HlBFSnrYJv31gDgxdA+cf+Qgtw+d43/43vfulqnlfYhkF7U97vixSVSiWiEq9cuZLly5czb948dt55Zy644AJWr17Nj3+snp9LL72UXXfdlf3335/x8XG+//3vc/PNN3P99dfP1ikkeIGgPuHy3BP3M/T43dTXP4Y5+jTdtVX01jfQ2xylL9Wgbxv2O0KeUsc8ylaR8fQAXs/OdPYtJbdwTxbsegCF4oIt7+RFhBV330z5tm9x8OgtHJ3yIAVPGrsycuiZLDvxvSw1E5XhhYIZu5Pnfg5IEXp+20FXl/V1hDw7qNfk7Vppxr917+7UotmESJfJB+kVnmlSt11MXVGGKHHWrQl6JF07stxFqDD7dod6j7KB6IS5ShYXKzKtl80OCXRUbRboSrMUR9EzmwuUAsKsBhrW/WugLqADDLCeajaD4XmAi61bVOScRv3fch3aQSfMcg3i/uY61LuUNaVKhgxV1jMQEGc9Zi6uOMeJc7lYCi0az5lQRBHnstZWCK0/46hnrEyUOLvjUP4arL8Ymv5G+VOh+0IYfCXUfsehJz3Gvf+z1yQnPgeRKM3TjrvvvpuXvzwcHXrOOecAcOqpp3L55Zezdu1ann322WC567qce+65rF69mmw2y0EHHcSNN94Y2UeCBFPBptIwK++9gdpjt9E7dA+7TDzJ0tQES9utnIJGM0U5pYSY8Y40EymbZqqDJilSNDGadTqbDlbDoas5Rj6l/pPspUxvowzjz6j/L0vAM+GuS+RYZy5hU343GsV96NrpABbufTh9/TuR6tjhhYZnBeXRjTx8/Y/oXfEL9q4/pmam4OHOA5g49mwOetn/e9FcixcTUs0ZGKFTr0PnMqJe4E5CS4ZMx/+gFwgrxglhm+9PF1AEJ4N67Z4G+lDkp6BYT09xhEXWWj+LofWTC35XyFINUjNylCkyjIVL3itj1OtkxxqkPNRgMQiJl4MifkKSZcCglNfu0r4hzJM21e+m7RPmLouqkcHDpEwOFzsgzGXyeBiUKASKshDquMo8WRltIcVCmEH5mZXiXMOgzoDvv1Aluh36g+k6xU2j6ncdUmLTGPW/pcS2XA8d7TzhQqL9Wg5N/5qUeyyGDaWDDPl6yHoGABj0v9egXmGvZZE/vYg1/m/JaF67ZhG5QpnK00W146f94z1HWAhH2rvW/x72v0vASBPKv4Vnz4WJlWq+fTT0fR3sI9V05b9gw7vAOoKxkf8jm00xl7Fp0yZ6enoYvQK6szOw/yr0nAqjo6N0d3dP/wESRBDcz+R6v6jQbDR49rHlrL3zN/Ssuom93IcxUtE/2dWmzTPW7pTzu9Po3Q2rf0+6F+xKYf4SCvMXbpXVoj7hsmlkA6NDa6hsWEVt42q80nMYo8/SVX2OPncNCyIDiqLYSDdr7N2oFPbFWHQQxT2PYMmeB79g7B4TrsMjf/49zn1XckDpFjIp3wLZNPlb76voffkH2ePgl8xyKxNsC6b6f+yM6EXv+jeUypwhOrBPJ85xwixEeYJoUZAJQjuGrkyDIkIZoGJjFTdRq2SpzssEhDEfCXkOMVlOM6jKfJl6HTcNtu5nFsWyi1BtFXI8HpsWy0mP9m2C4087tkXZyAfKsRDmGpnAilEmH6jLYtWokgkItLS/XV6z6NBAxNusphXhHmCQEoWAMGepMkxfoGlXu9SNsx0XW85DzkvOXyLp9GWT2TTk+g1AylO2DKNexzKUNcNusWhUI97msv/6Qc9wXsKqgDhXSvkwGWNc++5FWTRMwmi5jLbOxAOw8mwYvdlv/yJY8CWw3w6pjvANSPfbYfTL4N7FwiPvYvTBI1uu+5xEYs9IkOB5h3XPPs7KWy5n4TO/Y2njWXaRBSlYlVrE2sKhpJYex4L9jmPxbgew7zR5Zc1Oi3n9i5nXvxg4ou06tbEya1c+zMgzD+CuewR742MUa0+y2FvDvNQm5jnLYXA5DP4c7gOn2cnKzqWMdO9Dc8FB9Ox6KEv2OZyufGFa2jzTqI2Veez/rsV58PfsufFWDpI/NCl4pmMn1u72ZvZ81fs5YuD5WeE0wdZh2knzWBWu/BOtflE94CIfm55sMFxB+y3kawsD53SEFgVvUgItkW6AXwjEwbVtzGqNug2m7uvtQpEoIYxiuRClWbcfQKA2N7vCVI5yNhzhKMqxgx2ozUKiy+RbIug8TGpkWuLndBh4uIQWFbFl2Dh4GEE5biGhWaoUKPnXqu77nCuUjTwGdWxcnB6wh4lWNISo2qxfB4FcO7l3fWp7pwdMr0E5m6OGKm4yRDGIm4sPCtSJ8iLWsAIV3zVIP8Mb++gpjjA61AtLHFhlh/5lGQhYQBFm6YCVAHMI/nYhPPtdoAEpG/o/Cn3/Bk3/HkkHbgKgA/o+C2tfz6bH3sEzax9nl4VzW20GEntGggTPE9QnXB64+ed03vtDDnCWB3HybtPk0cwh1HZ9Nbsc8yaW7LynLxXMDjJdeXY74Cg44KjI/NpYmeceu4+Rp+6lue4BukuPsMR9ilyqxp71x2Hj47DxGngYGr9PsapjIRu69sDp24/04gPp32MZC3fZZ9YHy9UnXJ564C9sfORWMqtuZ+/acg5Oha/JN9LN432voOfof2Tvw17BLokF40WFaf/Td8C7gCxh7rJOnsUbq2f6CoGO+2Pz2neasMCGDiHQacXkrLQb+HqtmG9ACLSQ53jVwBEKFBnGwSZLFce2yNZ9hVZPvNjkT4vtYIxoBrHu3UWzInRngmOWKPhEOR8M7JM2ig1DlukeZiHRNbIR4hxHSJhHIoP8DDwcLEw8ctp1yPiFXYSGizI9wGBA8q1xNUAwpXuahRTLfWinNkvz/HXrXcryUe7OBB2aEgVsHKqEPoI8ZQbpp+IT5kEGMPACP7P4nWvzSpQ2FrDSDu5z3aqD9hxqsF+aVh/z6AQ89x2451MwUVLL5r0ZdvkSpHf1UzNiF1QiEvv+HkqHQ+1u9nzFLbiPvKLl2s85JKQ5QYI5jdGRIR7+3VfZbeUvWOb7xhrNFI/YBzG295vY+xXv4qDe4iy3csvIdOXZc9lLYdlLg3kNz+O5lY+w/vG7cJ5bTnb4IRaNP8H81AhLmmtYUlkDlduUX/rPUGtarDaXUMouZaKwG50De5FfsAfFJXsxb/6iafcIi2q+8al7qa/+G/mRh1nqrGCvlOYtTcE65vNM33F0HfIm9jn6JI56gdhNEmw9pvVP35PPwdMbaLVm2KjUAnkO46+M9VbkmdyOIZhADfaCgLBZ6dCCIIP6xKahDwyUynNAkJrhYmHhUKJAgVLg+612WdAF3etd1f4KKi5NCKMQ5HF/vkOgpuq+XTmuPvBQFO4ShcB+IeqyVPBrR5zFklHxexWTldMWhVni6mRL8TEPUwyUZCHJ4msuk6fIUGDfKFCiNC9DYWMtOK+U3LMxooVe4naNOLFG+bkNz2O90R85BxmoOExf4HHOUWZ9MDBwUUCmC5RYyyKq1SyFeSXWP7soHAhYICyb3Uvoa376j/CnD8PGR9R0z8Gwx9eh92Whaq4X34lndKdT0P9JeOYNTDzxj9x45ypOOHKOqwwzVdxkKqXUEyRIMCk2rl/Nit9+kQNW/5Jj/AF4I3Tz6KJTWHrimey/y95b2MPcR4dhsNMeB7DTHgdE5g+tW8XaFXcxtupvGBseZl7lcXaqP0cm5bKH9ySUn4TyTaowlY9q02a4o49NnUVq9nzqmT6a6QKpTIGOdDeGlaGjM02HaQENml6DZmOCeq1CwynTGN9EamwDndX1ZJwhihNr6GcjuwG76Y1LwSa6eCpzIOOLj2bBYSezy96HsiBRlBMwzaT5pAtRJKXkz4h7mnVkiMa0QTRyrkC08l/B/92jreO/RbdySiktZEuBamprRBCixLnqWwIgVJxdbEx/nouNafiKtedS71LxaM0e5ccNUjN8r7IkYpj+IEGnTxUtKc1TSRQlQzVeJ84V37Os2qOSMnSLhijgVbKBlzmez1xuQ5xNX00XUm0FHQjlXZZthETnWUuZfBBJN0xfsK4g8Ef3qO/8qEvTL04SdBokUaRO+FYgFhm4aZ7qQLiGFey3RAFTU5tHKFAlG1gzgEBp1hXm9f60k7UpVQvkiiUqzxVVZ0qsGPK7+hhcey489nvVELsIh10M/adDylBeaInOmyDaqROyL9PFv4f1B0DtQf7fWX9l9K/HMqeRKM0JEswplEc38uCvPsvBq/6LY1IOpODpjp3ZcNAHOPDE93DMi6CkcnHBEooLlgBvCubVJ1xWPf0IQysfwFm3go6RJ8lVnqFvYi3zmxvJphyyzTXgrgGXcAzLdqJEjrWdO7OpsB+pRQczf6+j2GWfwzkkyVRO0AbT9qdv3IHHq/5EgZA460TYRJHoQmzjAooAyzKdSOdi64Ei5mKFSNdxx20yuSoGdVxs8igrga4462kSgF9C2gU/gs1CkU8HS6nMZMlSpWpkyOLidKkBfN0bXeo9ymIAikQLSR7r7gi8ukZWEUHDUN9A8O1hMEIhIMLKrqGIcuhztvxkjVB9VtuabYmzQLy/6rw9HOwgdk4p6uE1sXGDNsm0bCekuY/hQIEX8u/NU/9bZauqR2TZ4bUAVelQpuW3Z6pCJqXuXHD95R6UKATfNf+6D9EXkGM5r/X000uJQQaC6+Fi4Y77r8riAwBXj8L//Dv8z9fBm4AOEw75V9jnQrAL0Wd0nGgUnUB82lJaPNsBC86Dle9m00P/Srl6N/m5nKSRDARMkGBOYMJ1uOeqr7D3iss4hk2QgsfNPakceTYHv/LtLH2RkzSz02LJngezZM+DW5Y541XWP/ckmwafpTaymvroWppjw3Q4JUxnlM76GEbDxWw4dDTrQaxeM2XgGhnqRhdeZxf1zHxS+X46exaSG9iNBbvuT6FvoIWSJEgwGaaNNJ/3X6ii3GJjgJDkynTOnyfqcybWgrgdo4gixkXtd4EtwsVSvmTfdqHnF8fXA+V/1r3BQhIVqXMCP7LluQzNz1HYVKHcY+EZBobnKWJt1zDqdUayPVTIY2iD7cTmIL/14wB+UoYiySUKWvlsNUBQEjPiPmbJc5bpOGEOEzTqAdXW/cu1oONAJE2jjyFGfAVY9iGD8eS4AF7WIONUlRLvNSLX1vALnlS7fLJvGBrRVUkgBnXfkqGsMTqJzlJj2CfOQ/QxTF/gea6SVYMVyeG4FgXxNe+0SfmaPQ+u/xH88OOwyc/L2/ckOP6rUNxHPY8lop07UZRlsKBuiTdRhFrWWfQ2WH0BVO7lyDOf5pEf7cqcRaI0J0gw63jwjmvI33QBRzeU3+DZjsUMHXUBy171ziTLdwqw01mW7HEg7HHgbDclwYsc0/an71t3EpKQHK3k2SD0jUJIkGVwoE5SClrrhCy3Q0HlVeYKoTQotgsdDjYWLi5W2xSNGllsXFxsSphKYSZDlho1slTIK4+woVIoSt05n7iVg5SJYaMPy3ADm4EQUCHGw75Hd0RTnXXVuOL7nPXBgUKS9SQNiEbk6Sj7ZB1oIcwA/T4xVpfWo5/1fjvrERuLbCu+ZnVLSkFnQvnCq0oh90v9ipJv46riKHZow4DQQuJqBtsa2SDJw8YN9ilKc4YqwxSp+ddaznGAQVaxBBuXglWi5BbI5KqMrivCY7fCx8+Bx+5TB1m4N5z8Vdj/tSFBViekFGV5wyHls/V/EZ2oZ1j8zfJMW52w25nw6Md49KaLgB+13Is5A91nPt37TZAgwWYxtO5Znv6vszm8fBPgJy/sfzaHvfFf2TkZTJYgwfMO0/Ln9Mr/g4Z0lguE5EQf/Ic2b4CwLLOOIuEgrp7YMoOQQGvLMj5hzlq1gFjpvmaxHAhErcxS8yvjhTaHPGWkmp7Awwy8wBZuRMlVOcIVnyi7gRpaJRN4dWX9kZjCLKqykGbJZZbfcdIc9zO3K6MdvVz1iMKuCHxvsCxqzfAi10kn3AC9GmEOBy6GarjqqCjrRxVTKfAxVR9CZV+uiXi65ZyBiNIsqrtSm4tYvlFlmCIFSgzTRy8lsGDDinHMT/wz9f/+rTpYrgfe9in4+zNhzFKDAgtEiXMnYTIGhJ08CDt1Yg9Kx6b3ez889hlYdTln/vBbfOu0GaggMh3Qy8BPJya2vEqCBC9WNBsN7vn999jz3os4nDG8Zoq755/CPu/4EkfNmz/bzUuQIME2YlpI87/+gTDNIl4sKKcdRScoevRcBlhIlLToGNB+L0D9wZ7fJFMsAZDPim3AJE8FDxPLr/YH7QcDSmIG4JPnkCwr8qdsD/JbzXd8z3Q5GDwnRFkn1sMUg0FtJl5EXVbfirzqZFiv/hcnzZLN7GokU9o9GeKWlD6GA2Jq4/jWjFDej3uY9aqCcchAwwy1oK0Z3w4T7i8k4XE/NoSdF4nY0+0scq2qZMn45DlPmWH6AtV5iD7qGDTGagx/6dtUv/SfMD4OqRS87f3w7n+HDv+P0zjq+SyhCGSRMJJuHPWMThDaMHQ7kSjNxObZRdj5LfD0T/nP//od3zrtbZPei1lFYs9IkGCHYmjds6z68RkcXv0zAE8Yu9M8+escdcjfzXLLEiRIsL3Y7j994xOwoY6KmQNFSEwUKREirds00kQHWi0gCpvQ97zQ34eQnkjLW5VMHR4mdYwgj1hIoY0TEEkXOyB3kmOs5ocD5qpkgnXERjDoR6CV6A3WLVFgxFecxSahWzQM6gFZ1gcECnEOY+halWXJZnZipLmdRUMQt2kIQZYBgYocR5XndtsVGAlU5hGfvI74SrCozFKgRa5voDi3aZ/E68l1FsJcJaP84z4Jlw6P2DVE4ZYOS71p4Pzialae95/Un1O+5Y6XHEfn5z+Hs+jvYIP/QErpb7EpSATdAMoSVPKX6/8SJIcaFEmWZ9YjJNkAe5wBT/+UibsuYKTyVnpzc3BAYGLPSJBgh+FvN/+SnW87l2Vswm0a3LP0/Rz+zovotGbidU+CBAl2NLb7z+kNTwLytklU5gKhmifT8npb7BoLCUtSC0RRTqOquU2mPC8Mpb9Cd8k/RCmwZ+i+ZQ8zsGJYuC2kUFRQk2pAXvOUcbGokSHnkzQXixzlSNKDeHuH6QsGtA35JaFLFGKkOToQMP4NojxL1FwmoiyXyeM1fIW57pPm+mbsGaafFuJ3LuyOqGdZT9EQ+4XuZxYrhn4dIfQku/41rpIhTxkHy/eFWy2DENtBrBoG9cDbrJJD7MAGI75xUeHl+q+/+1keO/tCRu54FIDOXRbS9ZWPk/5/JzFa7oWSB/MNKKXUsyREWZRlfcBpgdCHXyGa1gIhec77y0qEnvvdj4O794bSCo760ioeu2jn9jdjNpGkZyRIMONwxqvc96MPc/TgLwB40tiVjjd9l2P2P2oLWyZIkOD5hO0mzf/wf4QEuZ1FQ5RkXW3eiai3dCdC8lKIHSBNmNm8AKziJtxxm57iCAWrhIdJgZEgZk4nztk2IdFSShri2c0q6kxsAhK7pg+cG6ZIliplckGRFCHP4hkWy4aozpJ7LN/tyLKQQr1giRBoUZurVWVn8ALC7BPoiVb2YnZ6gIVh+iW1TY9qNvTc6tYL0z+KujVRohy/bvHvPGVqZP2OSTUoogK6om+1KM7xQYF6qXDLt454GP6ATFX9ME+ZNesM7vvYL3j88v+DZpOOrM3CC95F7tzT6cikKZHCMD2V2TxU8N96mOq5EvuP2DJKfmNsovYf018mTpH5/rTYNgqEz+poCg59D9x8AY//6QfAZ9peu1lFmq0qPT9lJJ7mBAkAWPfs45R//HaOrj8OwF/nv4VDTvs66RdB3nKCBC82bBdp3jgO47IHXVmW6QXavCLqj7e+Ti+whCiBFghZBj+qrq4dbPPQlebQ1+wGZFnRxJAwhyWm7YhVQewIEFarEwVU2S1CtVkU6GGKVH0psx1RjivL+rT4qMWO4TWMQFV2xy3qEwYNT7sG9fZyn+sQ2Fc6jDrZfI1yNY9h1jFNj1xHGE3XTmUWdVdItEzHvx0s8lRw/KsLahCmrfnA2ynO8dg8N7B2uEGhFyHPNg6O0+T2r9/Pnf9+C25Z3cOF7zqePb/wbiYWL6Xs034DD8OsKwVe7DtpM3zK04R2HxNFgkcIs5n1wadCnscJc8RlMCHa90vfCTd/DP78ZR7b+Cn2mjfH4qMST3OCBDOGB//3dyy+8UwWsIkR8jzzki9z9Alvn+1mJUiQYIawXX/6/vl+Wq0ZRZRyN6xNCwERFIDFRK0ZOUIFWhRrA0WsYwkc/YsGcVzL3/1QoFwWGAlsBDpxFp+tSsIIB6gpstxqH5DMZMkRdn3vriLMGV9h7qVGBguXId+eIX5myR2WMta6pQPC9Ij4dzx32Rm38eoGXt3AHbdDkqyT5XobH63ZDNZpmAYVx/arJir12egOOwyTZVjr8DBaouZC24od2FlkH3r+c5jiYUWOIZ0DdZ29mC9akefOpsO9v1vDdefeRulJVQu7eMQuHPn1fyBzzMGUyZMOOjU5CoxgWKoz01McYXRIebYjHbp07Fu3Y5goEt1FdNCqrCPpLkOE1Q97l8DufwdP3sY7f7uSu07bfdLrOBtodoQFZqZ7v1uL2267jS9/+cvcc889rF27lt/85je88Y1vnPa2JUgw02g2Gvzfzy7iiMcvxUg1ecLYna53/5xDXgClrxMkSDA5tos0/2YjqqAJhAVIhJz0ESXFEFozhmLzltKauiHIOfQsHaFWyVLYueT7Z236rUHyVIJBbXnKeBj0UiJHObAMtIPQNQi9ugYeko8sqqtYBoQMl8mT8UljlUxAiHWirBNkWUdSNHSSrKdFiCrrYVB1M4FXuVrOhMqyVL0TkjxZdrW+jgnUTTCbinSjlGfD1Kwa2VBdlnYZeJFCKXrUnR41p8iyHczLUgsSR/RKhHJ9JyPmQqCloqOBx8aH1vHLs+/i8RtVMYCuBTmO+eLr2Oddy6h09FClTp5yUCQlT4WaP2izYJWokSVXKOOmHdxK1u+QmdHoubh/WYf8y9B99cXYdwG1v2VvhSdv4+7rfwmnXbCZne54eKb6zMR+txZjY2McfPDBnHbaabzpTW/a8gYJEsxBTLgO933nvRw9ci2k4K6e13DgGT8gnd3cfygJEiR4IWCb/5w2mzAxgFKD12kLiii1Tn7LEeJkuRdFloe1eQX/UwF2qitvailaJrod9Og0HQYeWaqB6ql+t183HBAYVsAT0i0DAQ3f1ywRayMUqPi2jbiyrMizwxBFDOoR4qwXIRFiWmtkqPuKsviVG56pFOO6oYiwEOXNEeZ2MFGk2/Ro1A3cTs3LbSoriWFFyXO8yqCo+XUMstT8BGwrWMfCDZI5MhFLjItBnTpGpMIgRNM/TN8eU9tY5TefeojbvrOChtfEsDo45twjOfyCl2Pnbap0IHURZbteP9lDDXAMLTjEopNd0wYzNopdnkk9GlH33y8gtGkI+oi+Sfl/b4KrPgh//A/q9fMxzbmTojGXSPNJJ53ESSedNP2NSZBgB2F0ZIhVl/0/jnSW4zVT3LXPRznqrRckVf0SJHiRYJv/nH5mvUfHonEag13hYD8hz/O1PZdiGxZprzZLJ71QJ7O0TE0jy1mrRmGeUg8zVClQwvFjyQo+Q7d8Z60QMd2qIT5lIVTxgidixYCw4AaEOcoGHnXfOiGkT7zL7dTm+MDAMvlgkJ+oyjpZBqhW1HynZkXVZd1+ESfLmyPPprY8UKejqnMmVw1+18QD3CHXpHXwnhBoPdVD5TPbQWGWjG9jUa5xM8iwVhUZo9F3es60W+/gtu8+wm8ufIixjer+HHTKUk76ykvJ7LYQaFCDQAU3qFPxk04kZUNsHWX/ODWykIVstkppY0EdKFeHihk+b5KIUfKnC4QdvzFtnnia5Zr2oTp+Q8C8BbDfsfDQHbz+znVcd+zCzdyYHQvH7sSxp5/EO3YTmGDTpk2R+bZtY9tJvFaCFx7WPfs4zuWncEBjFWPNNE+87Osc/Yptz2cfr49TckpU3Apuw8VreBxQPIBUau50uhMkSBDFNpPmS+sumNAxMEZjsEt90xXuUUjxAGHE11Ja1OaOpWM0hrug6ATlsEVpzWfLQeGSLDUGUHm8Fg79DAY5yxJ5Zvm/s358XJ4KNk7bIiBxu4AMTtNtGqJQi2oMiuyKlxmIqM3DFH1vs6MRaZcyuUBlFuLdjiwDNByfcIi6DCFRixDhLd0hDfq6ojoDtbpBhx1T3oVMauRZiplIJyTr1z2UwYBihVFVDS1fiVZE28aljkHdt06EhDtM8HjgxiF+fvY9rHlI+XkWHVDgLV8/il1fsQsArl84JUfZH7BpYeKR89M7LJxg8KBav7V8tzHPC6wvFRnFV/If1gJh8ZOSv6EMUh0iVJ51T/MEiljLgNdj3gAP3cEf/nA9HHvqFm7IjoNnGHjG9P8R9gxFmpcsWRKZ/6lPfYpPf/rT0368BAlmE888cg+ZK9/MLmxkkD4qb/4ZBx949JS2nWhM8PDwwzyw4QEe2fgIT5WeYlVlFaNO3L8Iy/9xOUYqyXNMkGCuYttf3BZHwVeDOwbGgu/GsB+zswA1IA0g7cKQpj4tcMjsUaW2rjeYJYQZVPbyku5V4bQ/CE1Hlhq9lPyqcdXA6xyHgRckOojfdnNFQfQBbbpNQZHlbKCcCikWtXmYvhYirRc2GaFATSrfublA4W0hy9CeMMcx1TsXX288Fc4zw+Pq1Dmbq1JrZLA6whSMjB+1J1nMci3FmqJXBdQj6NQgSqmsaEaKy6x9YoxffeQe/nb1cwDk+mze+NmDOO79e4HZCbg4/v0QO4bcP1G9pQ1yjyycIPVDIgfl2claNbCAouqYGUVPRdPFyfMIoR+/iOrsrSO0aIh/fx2hv/m1r4Pvn0fzt9+Bi+YOaW5g4DH9pLmB+re9atUquru7g/mJypzghYZH776JBb9/NwUqPN2xhMxpV7P7Tpsf8DtcG+bmVTfzp1V/4s51d1Krt8afApgdJrnOHJZhYaQMvKaSbhIkSDA3sU2k+S5vArPTo3d+iZENhciyjr4xPycY3Jgf2SpuIrO0GqYaAL3zSzh59R9KPluOpF4I8pRZxJqg8IiQ6Aw1+n312aAeDAjUM5c9X+2MtCM2DVE7gp7kAMpSUSMTkD0hwBI9J35lKf3cqiyrAh7VahbDrFOrZDFMr726DFFLhqjL0+VL1fcjxzM9Go5Nh+0EbQKopw1sy414mj3/zIWwAm1UZjsg0XGl2cFmvOxy68X3csvXHqTuNugwUrz8zD15/acOJDfPBpp4/r3Tc6RdrKCyo4sVeKlVRyccdOhoedGqfbUg3i9POfA6l6t5csUSFFHe+ZJ/H3qBJQ6ss0OivADINVWlQSec19Gn3rSkjtmZ5sKd4YH/4wejJU7vKWz3rZoOqGs//aS57pPm7u7uCGlOkOCFhAdvv5rdbnw/2ZTDCnMfBj5wNYVivIytguu53Pzszfz2id/yl7V/odFsBMsKdoGD5x/M/n37s0fvHuyc35kFXQvotroTO0aCBM8jbBMV+1RqDX0dvhQ3P5xvdPhV73z/aG7BMHZaMQxrkcvwxr5g3UJ3iUXdayg1ChSyYTU/fQCaTpAF7Ui1IJ6WEUbNSTXAun+M0OvsaZdAlXi2IiRNValTRFInwQLdt6wv160YlUaeaiWLU7OCDkWtkm2NkIvHx5lNNc/UpuW3vm7ab088x1qU/naxdJH5/sBDv6NQ80ystEOtksVLm2Sz1SBGTtR3sUSIlSVe6CQs0KI6RBYulYbBQ1fcx/UX/C/lQTV/31cv4q1fO4wl+0U7WGKfkeQO/d7GUzj0+yjecVGi22V2azMoV9X6uUIZe8EQIxsKNEblbYmDlXZwh7pD8jy/iVUoq3l1aAx3+W9aUjRf8Qr4r8v57N1/5vRXvrb9Nd/BUDr89A9ScmlseaVZxKmnnsrpp5/OS1/60tluSoLnKe6/5b/Z69YPkE5NcH/6cPb44K/J5npa1ts4vpFfPPoLrlxxJRvHNwbz9+/bnxN2OYGXLH4Je/XuRUcqGSyYIMHzHdtEmp9MhYN/+jpUjMBwIyTEffOGIwO+So1CsKxglVi0aG2kqIc+aE/KYccr0wmJBkV+BhgMPK1izxB/a8E3prqaz1X2b+IFVg2JOdOLbYBSKsV2AQTFRvRS2KHS7AUD/XRbRzsrBqDiz0wvjJCD9mRZkK4rUp2OqeM+0Vb5yz5y/v6D/fjkUj9WZB+p6Leutvtt1isOemkDq8P1k0VCq4so0VlqwfVQgwJrAel9/M8buPms61h7jxotWtyjh1O+djTLXrcAM9UAjQjrPvR4x0beIujrqk6V60+7Qda1KOBB+wnLpAdvLbLKyiHkuXd+CWtgPaVNBdWxQb0hyRfKDK8rBtfSKm6iMK/E0GBf8MYl9Xcvo/lflzP421/BHCHN6vpP/x/rbbF8VCoVnnjiiWB65cqVLF++nHnz5rHzztNbgnx0dJQTTjiBXXbZhfe+972ceuqpLF68eFqPkeCFi+U3/YL9bjsTK1Xnvuyx7HfWVdjpaBzPUG2IHz34I3654peMe6pX3Z/p5417vpE37v5GlnQvabfrBAkSPI+RajabzS2vFqJJk2Oaf6IjpTYbRpHl4UYf/R3rUWWkiwwwGNoWGgX6O9aTpcoQfUH56UWsCYiw5P6WKLCEVcFvnSxDqCAuZA1AC2nOUKXIcDAITXKWddUyzGgOC2yIYiq2jCqZYNBalUxAkqXan0zrvuaqP6/WyOD4pNMdVwVFAmV53NQU5GbMiuHfClNTUrXfVjo6aC+Ta82hrlWyLfN00r7FAik6YZeqgraDnfGLlZge2aw6rtgvsv4VArSrpNbpeG4V9/7bVTz2s+XqHPIWL7/waF5x1r50WWFetsTFmcRVZC+IA4Sw9LaLFXRmgAg5FtIenwdh+fJ49J+q8NgbeLlBDTgtuYo8533Pfa5DZVMPb+yjMK8EgNdQ17Jn8FGeWnQCqXkFGsMjzCY2bdpET08P944uIt89/aS5vKnBoT1rGB0dnbI949Zbb+XlL395y/xTTz2Vyy+/fJpbCBs2bOAnP/kJV1xxBQ8//DAnnHACp59+Om94wxvo7Ozc8g7mEOR+bs31TrBtWH7jz9nv9jOxUh73dv0dB5z131h2WIu+OlHl8ocu5/KHLg+8yvv37c97DngPr9z5lXR2PL+erQQJEkz9/9itJs2/Zw3f5q+U6I3M18nyEH2RgVsWDsMUA9K8hFVkqTFMX0CIhfjmqURKNS9hVcSykfPpjiiFWZ++xhVIyy+7UccICmaI71WIMoT+ZSHUYseQAXDtCLM+KLBlHTeDaXo447YqTuLYobIcj4/TdX6NMEuihRBVUIPz6rGy2Xmr0jKoUdRtHTppnpKPWm+TkHbTo8OoY3Z6WGkXO+1gdajOSHh1asFAP6s6wrNf+TUrvngt9aoLqRQHnn4oJ/z7cfQPdAR+aLHQWDhB9J/eyYlDz9PW7wlEiXMl6G6FyrK+XBRxGdApz60dFKbJBm8ppJPnNixyHep5dbEpUGKYPvXd6KOvY5iVe53MxOPP8sXKg5zXtX/rNd1BkP8A7hpdQm4GSHNlU4MjelY9b0jcvffey49+9CO+//3vk8vleNe73sW//Mu/sOeee85206aEhDTvGNx/61Xsc8s/YaXq3JM7noPO+iWdlvq/stls8sdn/siX7/oy66tqLM0BfQdw5rIzOW7RcYk3OUGC5zGm+n/sVtszruYxQFkqdOLcqwUyFxlusVeobUosYg0jEWtGKSC7ejScPvivQIkM1SCXdzJkqAaeWiG0SgmtIdXm4scRMu21zPOoaYRMEE/xEKVZt2+US3nccZsOQ7zGVphaocfHCTRyqqu6oMgyQKbDT37QMOm1iK1XM72WVUSzFh9zYM3QyfN4Cky/oaZBwzSo42CYBtVKlnraIGvVAm9zHYN6s4OxX/2Rpz76n4w/q/IF+1+yOy/7+uvZ+dB5ZKkFXRvLJ8eSWCIEmqBF0Y4OKCXb8QcaTlbxsUyenH9tIlYMP1VD7qFkfPf5OYhFf9sCJRayhhpZhvw3KQVK5DtUufARCsE2fQwrO1CH+r3uuEOYePxZrnryHs47aPZIs0C9RZkJe8bc9jTrWLt2LTfccAM33HADhmHw2te+lgceeID99tuPL33pS3z4wx+e7SYmmAN46I5r2euWM7BSde7teikHf+hXmJ3qP9PVldV89i+f5Y41dwCwOLeYDx/2YV69y6sTspwgwYsIW02ax1hDMaj6QOR1eq82aK+P0Nds47KINQwH+VyKsCzyLRYy0E78zDI/PihwEWspkyNPhQHWRxTmPoapkgmq/uX9TF8hZPorfuVp9iIJGbp9Q4eLHRBwQS2wZUTnl6t5XM0/3BjLTl7JT5RmnzDH1eUIWfYRt6lMGTpnilV6jZDnuqHaM96uoEoK6iYN1EBBsYZU3QyepYqajN33BE9/6ItUbv8bAOklRQ758lvY+x8OJJVKBXQ5T0W7N/WgUyP3QMhyPPWk7vuodWSoBhaNOPRS4CFRVvUa9Xsnpc4LlPy87ZAoyzHk2bVw6fX3MURfhDwDFI/enU2XQ+nPd8JB727brh0Jl07cGYiwcmntiM0lTExM8Lvf/Y4f/ehHXH/99Rx00EGcffbZvOMd7whUhN/85jecdtppCWlOwKN338Su17+XdGqCv2WO4oCzFGFuNpv86rFf8ZW7v0KtXsPqsHjfge/jtANPwzaSeMUECV5s2GrSbGjqXtEnCqWYciyKq/7qXAiIjRv4kUX5FbI8QoE8oeWgQIklqLzmOJnNUw7mZfxQOBvHJ9G1lvVtPwjN8Y0bonJWyQbV6wRiGNAharIQ5vj8ajUkYe64HarLQo7jCrMQZgDTm5Qs6+S4QClybSaDKKrQmjQREOg25DlQnU1Ttbdd28dNMA1qqKxjK+3SKK1h8ONfZvwHV0KzSSpjs8u/vYW9PvpajKxNzbfRiHtcFPys74k2/MGZ0tbA4oHj36uw2qOsk/FzoAU1vyqgQNkvcuQpB505+ci1q5KNXEedkNuE/vG8ploPUwwJsh9xOEKBIkMMUWTBEYt4Cth49R3wgUlv0Q5D3e+OTP9+5zYWLlxIo9Hg7W9/O3feeSeHHHJIyzovf/nLKRQKO7xtCeYWnnnkHhb+/h/JphwesJex91m/wbLTDNeG+eQdn+T21bcDcGj/oXzm2M+wtGfp7DY4QYIEs4atIs0eDQqMkKKVKENI0IRU9lKin/XBugVUKexeSoGypydiLGQNJXoj84Uk5gK1eU2QipCnTD/rKfsMMOe/gpeCJyZesB9RFi1caprKLBkaciw5nhBqIdC6mil+WCHMgsDDPG62qsrxq64VfhHVNpurtpBlubZiJRByX4yUVtwGdKgS3tlclWoli51xqXmmIvtmEyQdQVfJA3UcqBu4G028n/8Hla98ETb59/Htr2P3L56GtWQAl3IwIFCumZybQR3LJ8eiOAtx1uMBrcCM4QZvDSSDW95yqHse3gvJ6gaCZyO8jqWAOPcxTI1M8CwKie5nkBpZSpoNo8gwDhZ9DAUeZ9mnWJOKDJE/oIu/dJqM3PYI1eY42VQ4gGg20Iglw0zffuf2K+mvfe1rvOUtbyGdnvz6FwoFVq5cuQNblWCuYd2qJ0hf+RZ6GGOFuQ+7/+vVpDNd3LXuLs677TyGakNYHRYfOvRDvGu/dyWxcQkSvMixVaT5Pp4I/lQKYdDJcx9DvhI3FLFtCKlR6wxH5reLl9MVVdEHR/zBgboinKPsK8ihwiy+2CqZgLDpiiSEimI1QoTrgZdZJ9Th8rBYSRzVajYkzDp0oqlDI8xWWmUBm6YXIcxxsqx7xuUaTRXGZLpgG9W5BiFxbjc4sO6v9L9/gC+eg7fycbWrZQfT/Y1P0vOS/alTw/KvvVKWhcxWgmscn2/7gwHzlIP7paw2ofqrD+4UyBsBqf6nE2dQ1y8+ABCidg3ZN4TPhDw7Gb9cuKj3YvPRn13934JhmRT2X8jI8lVcuekW3ttzUvtrv4PQznI0Pfud27jlllt44xvf2EKax8bG+Nd//Vd++MMfzlLLEswVlIbW4fzojezCMM90LGHgA1eT6ermBw/8gG/c9w0azQZ7FPbgiy/9Inv17jXbzU2QIMEcwFaR5r/yvxGCEFeYgYAwSwlpQS+lSCyZqMoCGeynfMv5yEDALNWg8p/k7/YzGFEuQ4VZ2QCU2qiIuoUTpDNIARNAo8lh0kfWLwUtZCxOuOW1f1xlDjCuWRt0lVYUWoFPmDOaHUNXl+NkWe9s6L/bESI5qylDU529uqHoo3izxZ4h5/LsI/CVD8Mdf1TT8wdIfezTZN73JqzcOFClSiai9uYp+/nYDgb14L7k/U6PqM6qRLeyY0gqiij+4lVX52wG10Z0aNmf0/JWQDVcnilRk/sYDlRoUGS5j2H6WR+oz/p1zmrPriLPobVIt8wUKNF74GJGlq/i1pV38N5DZpc0u3TSOW3lJPX9zm2DxhVXXMEXvvAF8vnowN1arcaPf/zjhDS/yDFerbDuu6ewT2MVg/Rhv/e3WD3dfPS2j/LHp9X/ba/f/fV84uhPkDFbB4QnSJDgxYmt+ms6yiPk/WIS+utuaE2V0BU88Yc6tA6c0Af+OVgBWdT9qTlNYVYxc0qBLDKMlHO2taImkrgglencIFLOa1GKLb/Mc/SiyNrqmHU/ii4+eAyUyuyOW60qc3SH0d+mFyHMeavSoi7HybJO4LbXmqHsCOo6B6WlOwii6qy0o4hz3Q7J8qYR+N5n4JffBM8DsxPe82E4+99IFW1SHTXl684qdVYNyqxFvONC5FX5aye4jzXfVy7L1HahoiyEWYhrlQweZtBBAiLEGUKPsyzv1Qb/ybeox7rHWb/WGd+GIeS8QAkXK1CZ6xiBx1mi5wAW7N/LU8Dqex6BQ7brVm03Zs7TvFVJlTsMmzZtotls0mw2KZfLEaXZ8zyuu+46+vv7Z7GFCWYbDc/j4W+/g0MnHmYTXdTe+ksy8/K85w/v4ZGNj2B2mFxw5AW8Za+3JMkYCRIkiGCrSHOnT371GK9oietKZACV7hMt+URtwPc4i6oMoVqqWxCEHIuiLNMSJ6YrwHmvjFGv49r+a30vTJyoG6FKkKEWIRBCjSVgrkShhWDoxS8M6lTIt6jPAdqpzAJRmtN1rFy1hTDrdgKdMLcjy/q8ySBETscwfW23DYizBeRUgRQr7eDWDagA//2f8B+fhJK/7fGvh3O+ArvvCSY0nDpVIJuv+afqBR2PqI/Z8zV8N1heI0PO9z5n/aGWojoDgdqsK+fxddR1KwWeZ4iSZIhaVPr8zpZA9iMJLOFv9ezaODjYEZuGnGcfQ3iY9PmDAksUWLy3Ou7qW5+C07d4q2YUnn83pn+/cxOFQoFUKkUqlWKvvVpfqadSKT7zmc/MQssSzBX83/fP5pjKn3CbBqte/Z+YA3lOv+4drK+uZ156Hl89/qscNnDYbDczQYIEcxBb9dc0R4WOmMIkZEgGTJkaUYLQk6vWrfjzSjhYEfLdzyAV8mSoMaBZMfTjZKnS5w1TNdTrf8txKDgVql0W2bEGplfDqEO1y/e5jrnQBbbh+rYMO0K04vYKfXCZ2yZBw9TIm4ON41q441a04l4cJq3WDDmnGGGWpIe4ulxkKGJPGWBw8uNtJYTeyn3QiTN/vhU+dQ489oBaebf94NxL4ehXtZyP2elhmHWq1SxGNqRUOX/QX+gZr0eUZ1GWxZuuX3Mb11eTQ8Krd4g8Q1l1Cs4InmniGuG2YuWo+opz1SfnetxcmXxAriX1xcIJOxGE6rO8yZBs6LBiZSW4fqCe7Ym95gGw7n9nf5BZY4Y8zY05qjTfcsstNJtNXvGKV3DVVVcxb968YJllWeyyyy4sWrRoFluYYDZx539/lWPW/hiAvy37LOzez1l/eA+ViQq79ezGt175LXbK7zTLrUyQIMFcxZRJ8zjVCGFupzLrHlH1Cj6s+hZX99plDus2DJmvk+hstYZj+6/hN9UwHaAO3aMuzS6wx/zpMa04CC6eidouxh30QYh6aob+8Xx7x2TqsiGFQ+pGq8ocv7qaypy1ajGFuUSRoeAVfx/DgbIshDk+LRhgkEEG2rZPzimOdqqz3J/Mcw8zdu4l8Nvr1IKeXjjzIvh/HwhPSo+jqxtBxyGTq0aun6l9yuQCAiwEVJIyJEkDQvuGEGkHO9guq93bapeliPNYA89UHSTXsAJvs06SDeoR1VvaIPF3Qo7FAqKrzy5W8KZEtvMwAh++bh0qk2fJbmq69PQom5rDdKeiiv+OxMwNBJybpPllL3sZACtXrmTnnXdOXq8nCPDgHdew7IF/hxT8Zcn7qS7bh4/ecAYTjQkOGziMr7/86/TYPbPdzAQJEsxhTJk0u35hYmhNHhCodIR6EOulE2s9Wk7UOguXAW1An6yXpUq/M0jZzpP1aniGpjiPunQ7LvUulHXAg4DPyjRAl3+CDqjCfC5uNl7gxMTCxfEHn8V92UL8FKHLBhF0MpDQq0/h8rWxZWStWmSVyQizrjRDSJbjSnNxQ4UiFYbmx8KXY4iTJ7FvyP69SpX1n/8mw5f8FBwXDAPedQb880XQ2zf5AEcfhulhmmJnidoz5DztoAsSluAOFf9ykKIhMXPq7YBDvlrBqIM5hrr3KAJtOtA01D3OjvnPhg1Gl6feSFQrEeVbym/LoMCcRqCrfga3JHjIPHl2LVwk+1lXl+WZ9zBURyhdI7+wi/LaMR51/8KR9t9v9r7MJBwsDDpnYL9zL3rr/vvv54ADDqCjo4PR0VEeeOCBSdc96KCDdmDLEsw2Vj/1CDvd8AE6Ux53d5/Ahpf9HZ/80zk0mg1eufMr+eJLv5gUK0mQIMEWMWXS/Bz3Br9bi0jkI6Wr49XqdPtBOPgrE1mWoUrR95EGr8CdMp5pKlV5GBWNNg44qGmANDAGqVEUUR4PGqaQg5QDtgdGvUKpO6q+ZakGVowsVYboC8pCq93UI9+imgrRc2qWrzJripZeEGQSyGCyOGHuZ32EMA8w2EKWixsq4Y40/lwcrBARnOe3HneQgZb0jZFGN2t+ejMrzv8pE2vVMuuVx2J9+WLcXQ7FrWTD66qfo3ybHh1GXVk6AHJgdKgLIG8cMoGq7AXf8uyIRSNLLSDW+gDSfLWCNQ4pn/uaYxAUpTQgJZW+HTVt1tUbBuk4STsKXomqESrLum1DL44iEYaBZQVJ5rDJU8H1VWxQPnkh0mXywXPTt3OG8toxniv/bVZJ88wpzXOvjPYhhxzCunXr6O/v55BDDiGVStFstiriqVQKz5urruwE043KphEmfvoPFKjwmLkXT7z6//G5Oz5JkyZv3OONfOqYT2F2TL/vP0GCBC88TPl/ivX8JciurfnFQ2oawRXoJEMlXAxtVnWWGDo9jk5HdsxVJEkwhipfZ2jTon6OoYiSrC9nlwbGlXBqeS51w6BGtq0lI0uNmu+3jXuaBcH6Zh2z08P1PDDbEOc2KrP4mNtBV5iFIPezvpUsC1Fe03Y3AYq+hzxOnsXKUWSIVX9dzU0fuo31dz4LgL3bIuZ/9SPUX/8GahNZZBek61ARdqrtrA6Mq/LaHbaDYXoYHZ4WMedFOh42TsTGo4qFVLH9NA3xPMu1t3EC2w3jqI6T/BZ0aW0aC5vYPepCGox6jXK330lzymAT8TbrEXlKZbaCe6QTe6U0h0Ra7ETia5ZOIUBhcRcwxKqND6NVj9/heDGR5pUrVzJ//vzgd4IEDc/j8cvewbLGs2yglztefTpfvefzALx9n7dz/pHnJwVLEiRIMGVMmTRv4ongt174AcKEAyliktFeuQsZjm+rMnqd9us4VbJjDVIbUdYLB0WSNmqtHgNEXdZFI0fbxkMRLN/CkXLAdly8rOFbM0JLhlgw4kpolSwuNjWyk5LoCERlDpTYJpitqlZcZdaJskAI86RkOWptnhRi3dD3v3F1jSsueJI7f6Luq5mzOeATf0/x7LezyZ5PmVFSVioofOJWsuE5tSSDqHOUwYB62oWNE6jzJQpBlUbbL2Ria9fa0BT8LDXyXpn8qKvufR3V+amg7r10jKST5KDaZ/jTm1DPQV3Nzm9Sz5hjd5B3ytTssMMX9zbL8zgZkbb950ZsHLKObkUpLlBEtbRhDcxiXQQZejn9+517pHmXXXZp+zvBixf/d8X5HFP9M06zk1+95J/4ziPfAuBd+76L8444L/G8J0iQYKsw5S62wWjwCh3CAVN6xTY7KEpR8yPEhFyrQhVLWBVsF0eWKvlqheKqiiLMQoocQoIk3xV/vmCckEj59g3G/Y8QZ5/oWeNgeF6Q5Wz6g/3C86y3DEzTSZ0jNQcbKjXDHbeVPWOaIOS5LWFe43/Wb+bzoPZb1h8MVeru2jp+c/EKzt3rhoAwH/zeg3jnY+ez37+9lg479L9GBhCaXljJMGLNiLbfNEPCLBYH+ehlsvWOiYXjZztLooZS423HJeUQEuJxFBmWey/Pxkb/Wwi1YCycb64HcxRsR5G9jBN2+EA9o3nKDDAYsQzpb04m+xaffp6wbHjfgPqnVVqjN2jHIzoUc3o/cxlXXHEF1157bTB93nnnUSgUOPbYY3nmmWe2a9+33XYbJ598MosWLSKVSvHb3/52i9vceuutHHroodi2zR577MHll1++XW1IsGX87eZfctQz/wnAd/d/J5et+QWQEOYECRJsO6ZMmm1GA2W4HXGWiK/4Onpuc7isygCDAZletHEYy3Gw/FfuKVEOdejcQ8iSA6wlJMnE1pH5muqc8pTaLPFxQuLaKcm6vSAkzr7VoMPD8L28QHtrRroZqfynR8zpKrMQZJ0wRyCEeXNkebIPatvmOvjTDyu8ZL8q//GJjYxXG+x5zDw+eufref0P/56uhd2RNukWEsmUBv+c5BzB75CkwI/eq1ay1BqZgADr1zg6sLIefEw8KuQxqIcWDc9Tz4OozA6KMMs8/RmQzpLYOIRAC8bCdc1R6FrfIDvWIF9VK+nEWRD6rIUM17T1hHCH1Sej+6mS71PP0sizm5hNuHQGnv3p/Uz/4MLpxOc+9zkyGfX24C9/+Qvf/OY3+dKXvkSxWOTDH/7wdu17bGyMgw8+mG9961tTWn/lypW87nWv4+UvfznLly/n7LPP5n3vex9//OMft6sdCSbH6qceYtfbzqYj1eS7A8fzw/E/0aTJW/d+a0KYEyRIsM2YslzUob1ul0SDeIU/CzdCPOXPa7vfsi/L8Yn0WCNUFWW3YsHQLRrDhBYIEULF4yyKsiiT+lmOE/igjbryNluG20LqyuQj+c02DjUyEYJnoqUxdHq4Dr4Km9riAMCpIlCZ44QZ7XuKcc1/ewY+9Ev40/0ATRYuTnH2l+Zz+Nt3Y32qg2F/R/FiKJLbXHZzYZXAcav9QEe/AyGe5mg2c9jxkI6TrlmOUKDIcKBEm3hKZfYI01H0DpDcZ7FijBO937KN3Cb9MfU7YylUJHWeCnWjA+zQmiG2HIEqrW4Hz60o6ab/5kFKtKvBpDWqZJjXqzoXQ8+2f7OyozBznubp3+d0YtWqVeyxxx4A/Pa3v+XNb34z//RP/8Rxxx3H8ccfv137PumkkzjppKmXR7/sssvYddddueSSSwDYd999+d///V++9rWvceKJJ25XWxK0ojZWZvy/3slixvh11x58L/ccXsPj5N1O5mNHfSwhzAkSJNhmTJk0G3jIfzWiwAoB0l/ji+psxubJugFx9tygGEXKU7FhEYxrH5kWUg2h7cLUpj0UkZJ5jratqZY3A+JcxzDqEcVTV0bFUrC562GYdcBS1gWxaGzFW2up+KcP/ovYMnTCLFhPSJY3tuwygg1V+OR/w3/+FRpNSNtw3gfhtM9kqXTlWU/4x6NdlvOUYBLYNszOaLSbiRfpbOiEOZ6eoSdrWJ6rYgIrhIRZVOW69u17loGol72uLcffVn5riRqpMbAdsOyG2tCOkkH57WIFnUQLVSgnSy2YL55hebaz1OjqUQ/C0MrZtmfMlKd5bpPmXC7H8PAwO++8M9dffz3nnHMOAOl0mlptx3Zk/vKXv3DCCSdE5p144omcffbZk27jOA6OE75u27Rpdt9YPJ/wwH/+E0d6K7mzs5cvLjRxvSrHLzmei467KBn0lyBBgu3CNhkT23l9XSwsnKAIiKjOuiIty20cbMcF2/eYjkPKT7hoqybr3mSIKsny+l732eqE2tD2VVeDAb00mF6jxaUZJ86GP3gtrj5vLfKFMpmOWmDL0EtlTxmiNA8SkuXR9qtONOBbg/Dp5TA6oeb9w1HwpTNhl2VAdYyhrvYytRR70Um0aXphEZdgZmxDyWf2BwJGVw2n9esKBAVCIp2Xel2RZtlM1GSdMJtEO1HElm0Owvc0BTo7pohzzc4G5F6IYfytSh1V8CZ8xl08X3WWdfNdqvGbhia20JiZxcyV0Z57AwF1vOpVr+J973sfy5Yt47HHHuO1r30tAA899BBLly7doW1Zt24dAwPR4kMDAwNs2rSJWq0W2Eh0fP7zn0/KfW8D7vrttziydB3PdZh8ZJdFVL0yh/Yfypdf+uUkVi5BggTbja0YCBgSSZkOl9WxUD5hUZllnkBfHiQrOL6iCCExlt0KQYJoOoa+vhApfbCfXnyD9ssMbXmEHLZRW/VzrgUFTrYQgm82IV2no6sa9QNvC3R/ss5zR7WPDPgbhf9ZBQfdDB++SxHmZQPwp3+BKz8Iu0xeNDCAKN9C8Fvi8fQBgfq8GPSKgPp0ye82hAMCnZbOi+n5Vp0eogkouv1GvMvxNxICXZWWjpdDOIhUGzAq+c+208DyQusQ0PIMh79jb078tynyBibr97GcyjT5dbYRc83T/K1vfYulS5eSTqc56qijuPPOO6f5jMPjHHPMMWzYsIGrrrqKvj5lPbrnnnt4+9vfPiPHnE5ccMEFjI6OBp9Vq1bNdpPmPJ555B72v+8zbOpIcfrOezHildmjsAffeMU3SJvp2W5eggQJXgCYFqVZ/Q6Lf8Tn6cTLxMOIFxaIq4Pt1EIh1fo6aPPEmiHbeoQKc4zjGnVVgnmy89AV5/g5CyQ9oz5hTGt6Ros1I46NhGRZSxVZUYdzVsN1Pkef3wmf2w/eezAYeaIWjymQZ0PreWQ6akH0XK0Us6z4BFr8zGrb6LWKK8v6tY2r0OB3avTOkUzHklBaOkj6WwdRoiF8Hsa1ZeJz999wpNLq8ZE3IJ5hBG9GhBiHvmaLOtHlHkbwbeDRaav+6PjY7BbRkKd5Jva7tbjyyis555xzuOyyyzjqqKO49NJLOfHEE1mxYgX9/f3T2r5CocA3v/nNlvmzod4uWLCAwcHom53BwUG6u7vbqswAtm1j20mFuqmiWhml+atT6Uw5nLZgd9akKvRn+vnOCd9JSmMnSJBg2rBNnmYhBlP1NbZb16iDZ4YqH9BKiATjsXkyHecjceKso91+2Xov7zZ7f7eAtqkZU8DIJvjkCHzXDU/7X4rwb3tAzzwY9wCXaAzfSsiMVajOn08Nj3HqOEzg4jKBSx2HOuN41Ghg08Cg2WjSHGuSqk/QdO2wCqKf0dysOzQbLkaqRmOiRoMqHjVgjGHS9FCiQZUGNTxq1KlRZ5xx6ti4OExQpUEndcZ920lqE1AFav6nStSn3u5NhEG0+I0UQkn7v7Oo9ytNf7rb334TNLvB9cAYdRnv6sQ1OoC6n6zSwKCCKqHu4vnXJcVEJGlaht41XPWgOdXZJc0zZ8/Y+vP66le/yvvf/37e+973AmqA3LXXXssPf/hDzj///OluIqVSiTvvvJP169fTaIR2klQqxT/+4z9O+/EmwzHHHMN1110XmXfDDTdwzDHH7LA2vNDx4Pc/wBGNVXy8bwEP2RNkzAzffOU3WdC1YLabliBBghcQtltpnsq6QrJ1eGbUJsFk46Wm4+12G7UZiAz0m+q5zASmTJbjKvMYfH8UvhW6BqgD3xhSny1jpf/ZfjRp75J4/mLC/8DkD+eWMbxudu0ZjRlKz2j4+4wPUJtMIXVdl3vuuYcLLrggmNfR0cEJJ5zAX/7yl2lv3zXXXMM73/lOKpUK3d3dkcSE7SXNlUqFJ54Iiz2tXLmS5cuXM2/ePHbeeWcuuOACVq9ezY9//GMAPvCBD/DNb36T8847j9NOO42bb76ZX/7yl5Ec6QTbjnuu/T5Hlq7jJ/k813RbpEjxpZd+iX379p3tpiVIkOAFhil7mht0aGra1o+eb7e+NxXKPh0iWZt9eEa0PbOVBlBkSux20ni598ztuNwEs4zosNbp/QAsWbKEnp6e4PP5z3++bTuGhobwPK/tgLh169ZN+3mfe+65nHbaaVQqFUqlEiMjI8Fn48YtxM5sAXfffTfLli1j2bJlAJxzzjksW7aMCy+8EIC1a9fy7LPPBuvvuuuuXHvttdxwww0cfPDBXHLJJXz/+99P4uamAWueXsFed36CP6fTfLmvF4BzDjuH45ccP7sNS5AgwQsSU6ak6o9kKjYtSrKJQZ06RuBRlXm6yqwvb9sK3YM6FYFOvQ2PTuv70/djxr6hpfTxljATmbdDFOljeMsrCteIJWb0pGCkW/3uzKIi1bKoQXTdQC/QD8z3P/3AAvU9NL+Lh9ifYfrYwHyG6WMjfWxkHiP0MEqBUQqUyTHeyFCtZHBqVlt7RspysDMu2VyNdEeNPBVylMn7VUZylIM99lCih5K/9xI9jIbLvBJ5P/IjtYmwJLZDqz1DHziqwyD6LNhE7RkyjTaNunZOl3jeO4NIxBpZPL9/6fg55K5vz4DQ39vu2Wi2zNmxcOiEqZR/3+r9KrvDqlWr6O7uDubPFR/u6tWrOeuss8hmtz31ZjIcf/zxNJuT39l21f6OP/547rvvvmlvy4sZ9QmXTT89Fa9zgnP6F9FMwRt2fwOn7n/qbDctQYIEL1Bsk44bV5vjxFmfFyfJdQwMw8CxLWzHpWlocXMyeE8g3lRZHh8sKNDJs6xjw2T81jM378uWALp2mb0zASkqMiWbRmxMi0WMEnUQkkYTAs4kRDENZGFoaY4KA2Qw6MTGphMLi04sTGxM0hhk6CBDB1lSjQypZpZUh0XTtGHcVPsV0mybpDKdpLpSdHSkfLLYxKDuDwRN08m4fxQLm07/KCYZDLLqKKQx6apPqKqQ3SjW2fTPq4Hqt9VRAxPbedvbdZx0kmyzWdJs+jnOKTtFp6E6iSlSuHT6T0SHv9uOgEjX6fAHBHqR58rAm3XSPHOeZrXP7u7uCGmeDMViEcMw2g6IW7Bg+n2nJ554InfffTe77bbbtO87wdzA3Vecz0Heo7x90ULGDDioeBAXHnNhUrwkQYIEM4ZtUprjPmWV0ez6xMGJzAszmsPlsq1jWxh1VyWWiRKoq4Q2LSkHEe4q67dkBhOmJ9jatP8RW4hO/sOU5ujOZJ14gnO9buDVDRqeGaqu24n1+AkC86E4WNn8yhAp1BGZ10OUXPdrn0VMKT2jHZyaRcOxtyotRK6flA8Pr2HroxfcD3OSB1PL245Mbw7tdiTPQj36Wy+w4xlGy5sRabdUvZTl+rnEO5SzTZpn2tM8VViWxWGHHcZNN93EG9/4RrWPRoObbrqJD37wg9Pevte97nV89KMf5eGHH+bAAw+kszPqY3r9618/7cdMsOPw6F03cviqH3JB/zyeskyKmSJfPf6rWMb0v1VJkCBBAsF2K81CgF0s/1uVZducumVSxTWsIBO3aWgpGkKOpdqbR3ulWSdQsjx+RkKIDCKkuW50kK9WKGdzAVkWwtzOuymv5HN6ZrFFEMMWlJcW4lxPAQYNbMhoo/SC6zeFy76NxDZCludtx34gLOzSyFCtbP41d8MzAVd1JqzJCZUeP+hhRjojap6hSLOJsmboHR49TjD+pgGibxtMVAdCng95GyGdKEPb1n9+PJPgDYjeWdoc9OVxwuxhzDppnktltM855xxOPfVUDj/8cI488kguvfRSxsbGgjSN6cT73/9+AC666KKWZalUCi8ee5ngeYOxconcdWfy854cf8h1YaZMLnnZJQx0bcd/dgkSJEgwBUyZNLtYNP3X0VL1TApAOH5VNF1xNggrpIkyJ7+DFAoDDLsOtqrIlhK1GUISLKWR5XW6kCmBToz8fZImfOVuEpImA+o2eKZiYHUMHOyWV9gOVkCmC1rlPt3/7GHg1dtcPiF2PnGuCdnMAR2KNJYoUGRo28nMvM0s69HWGSBUmCfBIAMM08cQRb+ot/otuco6GiLR66q6f56YHl49SiDjNRYFccVZT8YOEO/8SMfHI1oRMo40UVIMrc+E2DPGY9v5cOzQt2z5z6z+LIvCrC+P5zS3S4yZDThYNLdUjGcb4G5DRcC3vvWtbNiwgQsvvJB169ZxyCGH8Ic//KFlcOB0QI+YS/DCwkM/+iCWtZFL5qnn5iNHfIRDBw6d5VYlSJDgxYApk+amFrQhlgsHO0KChXjWMchSixBnWV+Ih1g3DNsL9pqlAbY23FDnHHq55C7Cim86H9D9zGLNEGUxDeSUmpgdc6l2Wf4Ar6iq7MZU5REK2kCvkOAJ2hY3ieVEe3Vl58BSxDtPmSGK7S+0YD4UmYJFQ4dOpoUwCzRrxtD8HIMMhHaQrYF+rm3ysL262aI0txsoJ3YNNV91WhxsdX2NDiyjQUrPWk4TrRYJrdYcue8yX56NyYqB+R7vpgGleRksx8E1LMrkgxLZ0lGS50J1siQMmqBsvL5OojRPjg9+8IMzYsfYHMbHx0mnk4pwLwQsv+Fn7FG6lrcsXoCXSnHS0pN4xz7vmO1mJUiQ4EWCKUfOTZCmSoYqqoKVfAM+2QyJtCx3saiRCch11f8NUCNaCcu1bVz/71qzC0V45qEIsqiEfUQGbbUohyZKaY2TZVut3zTAHlPE2TWstjYMBzsgc6Flo3UwldeIE+XUNmdKT4mA9Mc+A/5nX9R1mqfN0wlzzMs8ND+31e0Q/3Z0ZnwlQ3UggsVRj7iuJovdBdTbB/0e1MjimabyneuD+XQSHCfKBtHOU5rQ7x1/RmS5Dc4iaNpQ7WrtELaDq7Xb9Z9ptY0V6Ujq340ZGIS3NZjpyLm5Cs/z+OxnP8vixYvJ5XI89dRTAHzyk5/kBz/4wSy3LsG2YGTDWhbfcT4fm9/HetNkafdSPnXsp5KBfwkSJNhh2Iq/6Glq2h/KGsp24GKTRdVurpIhS40aWTJUqZLFxqFGxn997VAlQ5l8sE2NDBlq4T66OsiONWh2oRIUhMPEVUUPRYzGiCqJusosr+m7FDlKOerbsa1Q1dTIsotNgRIlChpZjqrQOoF2xy1tIKB//MCesfmrq9sf+hhmsJ35WFeb17BZm0XLMp00L4ouEpVZrBnyXaIQWDPKogW7OWqVLO64rXzb45P/gbIzLnbaUR0KrTumdzxEdRYLDECWajBA1MPANSxs08UUu45c2zThGwcD1UES37M8mmJPEXV6HuEzohHppjaI0vVj0lwtLs0NnonwrUiJAlmqOFhkqeFgU/X/HegkUifOWztgbroxVwYC7mhcfPHFXHHFFXzpS18K/M0ABxxwAJdeeimnn376LLYuwbZg5RVncG9PkzuyGWzD5pLjL6Grs91o6AQJEiSYGUyZNKfoRQXmhoS5RhYDLyAOQoprwbQb2BHUN0G6RjuyUc4Kma6SHWtQ7wFzlDARQh/sJ4kaECZv6P9/ijrZp75TY4oouWmVjKBU8KxfItmmwAgeBmXyMZIcqqP6PKtDDfCz0g7+r5BQBr7slLoKotLmCPLh9AFxw/S1zWoeZGBqNo12ZFrmCWGO2TLakvTtgRl6aawO1++CuC1Ksk6gHWwyfmcJVCqL+Mwt28Uad5XPXQbwSScq3oGS+657lHVlWdaxoRnzg8vbjSpZslSDNyNZqv7bkvZvRqqxaSDwO2epBR1Ij+nPCd4a1DFIzQDB3dIAydnGj3/8Y773ve/xyle+kg984APB/IMPPphHH310FluWYFtwz7Xfx5j4C98sqv+3LjjyAvbq3WuWW5UgQYIXG6ZMmm36KfsOzTzlgGQIKRYS7GBh4gW+UBuHMvlAfcv65ClDLdh3mXw07s2Gsm2Q9RSlNWXgnz4YsJuox1UnzF3aerI8HaYjlChQJRuxYih1Oaoq6yq0TnJBkSwr7eKOW5uPYKunov7mGNnQvc3xgWP9rJ86cY5DI8vQ3se8OZW5RCHanriXWYdE+PnebSuW+mThkKVKlmoLiXZ9xV/de9X9cLFUxyat+hipuNqsT4uSrA8WdFAdFLHp9LW2u9rVQc3Okq9WqJKlRibIy67GiK4+XSWLi+W/SVGkWv/3IB2x8NJswbs+w3BnaCDgxBwY5Lg5rF69mj322KNlfqPRYGJios0WCeYqhtY9S/89n+Z9i4rKx7zrSbxpzzfNdrMSJEjwIsSUSXM/R/Ik1wCK5OoKc5l8oLwZ1CPqMoSZzaLiiqdViJNOSHWlV6wVWVw8U/mRm13g9YDpABXC9AxRIvUUjVyYveumVdScVHkTO4gcT6waVZ/eSaqGpGeU6G2b9BAMBNQ9zbo1ow6Mm7hoKRoaqdTTOYCWAYI6cYatIM8aWQYihFlPzFDnVmi7i8CaUcmqYiY6WUU7R9MLSLVXV0VP9PSMOCRdQvcxiyotcLAwbE/leOupKjLQrx0PzPnLdiZUpbVt6z3g2Mr+U7PVfR7KKqIsb00ET7M0IMPyLEvnqUyeEf+a2f5zDa1ku0aWJRzQ9truKHgYdMyhgYA7Cvvttx+33347u+yyS2T+f//3fwflrxPMfTQbDZ798T/x8z6LNZ0mi7sWc+HRSQGTBAkSzA6mTJr34gSu59ZgOk8Zw1eUhfSWyQUuYEUywqg5fT1QqRRZ38ssymaGWmSdCnk8w6TUbfgkt4Llv4Kv237j675fWc95Buq+2mw6qjSyY1uUjbzvVZVIMWW1qPotkTQNvQ2hvzlURj1MvIZW3CTtKr9vOhXmScfLd7dBuxLeUhVwOJBHY5gCedYH+4kNYzLCLMeJq8xThkacDdPDTjv+FXYjAynrWscEiBg2wgGCNhYu4OJh4hoWhl3HMxtY45AaJ7TpyP0eR6nqMW+z2DBSnnoWzDGodllUjQzrbUVuq2QxtF6APKO6FaNMPrhGlkaQBfobF4H+DO3My6d+LWcAL1Z7xoUXXsipp57K6tWraTQa/PrXv2bFihX8+Mc/5ve///1sNy/BFHHPtf/J6o77+UOujw46+NLLvkTOmnwwc4IECRLMJLbCnpFD1TdTPXwZKCYok6fASMSuYeFQJhdRmofpI0M1okTHR+PLgCu1Ts73iGYhC/WsgY1LflONse4OPNPEqNdVznNOkWlQBCk75lK3oZrNBK/VLd8CIMqhSgRpb9UQUq17mwNC3UFQ3CTIYtaV5jhiarNheS2WD90SUWSIYfpaLBuCwfkDDDDYfpnmVxayPEQRD6OFMOu2DB1VNzO5yhwf7Fg3Ip5mgajHtl/sRnU4am1VSvW8uH6EYT24TzU76xfBcbH9oiZ1vz9hjhGQ5Poif9pUz4Dht9XpUvd/sLufPBVqZCLXVH8rIkrxCIWIgtxuXQ+DnP98tkOZPE1gJw5su3xHodEm+WW69juX8YY3vIFrrrmGiy66iK6uLi688EIOPfRQrrnmGl71qlfNdvMSTAHDg8+R+dvFfG5xLwAfXPZBDpp/0Cy3KkGCBC9mTPkvXwcdVMgFec1xNdbAo0RvoNIpEl3CwqFEgQKloAiKnrwBUatEOJBKraNnJAuZhjJ0g+Wo1/meaVLtqmN6DRxbkWVQxBnUq35J6ZDsXZmnp3/IfN3LLNM6oVbtCUtpR8po67aMdlYGH2U3F7FpQEiU22FrXofrvmUhyDp5lmPoBBrCjlALYdYRPyezqZT2SFvNlvba/hU1qE8aXSZqs6os6QbbVY0MXtbAqNdabRmaBWdsnl98x2lQ7rHIj7qUs7kW24ROfmtkWO93MuQNSXwdFyvowMm1y1Kl4q/7NEspUMJDFcORbZukMGeZXLp00og/aNOAOnPfF/x3f/d33HDDDbPdjATbiCd/8i/8x/w01Y4Ols1fxmkHnDbbTUqQIMGLHFv5Fz0VUSSFDAtJEAUvJNEFLNyASGe0gYMl355RohCoz72UKKFUhShJhqw/cLAaEG4Xzy4EiqRtOD7hqkMXgXe56lsuDDxqZAJCXPGV5ixVRijgYgWJGpL7EPda60U6PAyylorXs3JVpSKLIhtHkKYRqs2ZXJgaIUTNaLvx1kNXmnX7hT4d9zTH3xy0tH8LTbPSjvp0KHU5S3VSom/hBs+KbskAIc4WaHYeg7ryOHeFCnF2zGVkYYZstUbdCN84AJS7MzhYPD0v9CUrr33ONwRlGfQ7EbqXuUyeNSykQImats7mVGd5XmWe/nsu1KRTz+yLz56x2267cdddd9HXF+2ElkolDj300CC3OcHcxL1//Al/M+5jebpAtiPN51/6eYyOuf3MJUiQ4IWPrSLNzRhhlm9R6BRJdnzyWwgyj21fbR5kIBjsFUbOmUHqgExDqGTLekKyRf2r49s0KGPhBvvOUKNqZCLkXiLAPMwg8UDItgz4k0pvYZW6MH5OSLR4czNUqfsD2Ky0S7WsxY9FbAva72C5pzKPoWVQoIFHgZFgkNm2IK5UtyPLoCwIuqoa/G43+E+g+7SDTzgIMI4MtcDbrPubdYj9xaBOlmjpaYn5M/DIUKVkFAD/zYTvWV+TXUiesqo2aTgM0UfWf6Ogo0ye9QxESLS+TDpy7SDPboESLlbwXMfXkX2Ben4n2sTS7Wh4mKRmQO2eCcvHdOLpp5/G81otQ47jsHr16lloUYKpYnTjBpx7LuTbi1To+seP/SSLc4tnuVUJEiRIsJWkeQGLKLE2mBZirOcMu9iMUAheXVfJUqAUKaWtlOWan0gRFrgoUSBPJZKgIUq2RHzJumpfSpEMpxUZjfuAhSiL6mzhUPGJt1Q5VDFiNS2OLvQzAy1kWkc2X6MKSlkcN6MDAYn9Hrcg7UaIc96qtFV5e7Vr2862MUSRIkMt83S0I8tAoJCWdPKsFzLRsQWlucN2sNIutuVGkkgE8cxmFyv4LZ0XiFbjExuPgefbOmL31Mi0EDc5DzlXA48n2D3wMuso0RtRldf4GX0GdR5hP/oY9p/dkUkJ8gr2po8hPMy2pHseO09+0XYQXmzFTX73u98Fv//4xz/S09MTTHuex0033cTSpUtnoWUJpooHf/KvfGW+RT2V4uWLj+fk3U6e7SYlSJAgAbCVpPm1HM9f+Z/IPCEKw/QFPmZ9mYXrE9EMNi59DAfETSquQViBDZSKNUxfQFSFgIlaqds2Sr4HWoqmiNpt+iRLj8aT6WF/UJzjJ0nbPnGr+GQdQjuIHLusLdOXk4VqtU0Bi8murF/whLSL4avONdMj01ELSF9Bs6m0g96O9fQHHRadWAvJjJNldY16W5TRWiMTDmiEsMphO2+2fNKtTDqjZZEIMdYhBFiKmOh53WFEnRXkfQuqsUQLsX9IpT5RkPXt5NzEz23gsYK9g3XbQb/u7ciy5HfHEe/0lCjwdmZ/wJk3Q/aMuRo598Y3vhGAVCrFqaeeGlnW2dnJ0qVLueSSS2ahZQmmgofuuJY7+TNPWD30GDk+/ZLPJPFyLzJ4npdkqSeYdnR2dmIY2/93a6tI81J2YiOFQGUqMhyxYYiPWRU2ido0QCnDw/QFkW9CPFWRjf6AJIcRdvmAEIFejjlUpyEkVEKcXb+WtukTZknN0F/ZG3gBWRYfswz8k/3HSz/ranOcdEXU5roxeblpEzVocNzS6CJBEodefnqq2FxEXFxZ1tcvk6fWUNeuqivMUi67bSZzdP8dtkM2XyObrUaq+wn0Etk62TT9OSrNoh7pvIjP2fPJr1xrIcoWLmtYFNxvE4+VLI10lAYDK0YmmC/nHVeVC5Sokg2Ir40TdDYeZl/flhF28HKa1106YDoKlGgC+7Jby/XY0XDoxJiBgYAe7pZXmgU0GspJvuuuu3LXXXdRLM5ucZkEU8d4tcKa2z/C5Qu6AfjMS/+deel5W9gqwQsFzWaTdevWUSqVZrspCV6gKBQKLFiwYLs64lttTNQPNURfQMZGKNBLKVA4XWyeYI+A2JTJ08eQn8esrBjrGSBLNSDV+uv1POWW+XGFTxRH+W37ejWEg/XC9liBshwUJvH9yuJnzmqkT1RnfUBbiy0jpjabnR6u+CjTWsGTeBSdRpw7uqo4Nb8TkasqErsZ4rw1XlKDesSGIdDV5aqvLgcq87gVJoEIdHW5DqSbYHpYuaoq7qIhGwy1ixJoy6ed8WSNuIdZ5klHyPaHaOqIl7Bul44BUXK8lkWB1SccsBp2JIbpC44zQiFYvx2GKQbPspxL/A1Luw7EbMALbtxM7HfuYuXKlbPdhARbiTv/63y+0dekkUrx6p1O4JU7v3K2m5RgB0IIc39/P9lsNnnDkGDa0Gw2qVarrF+v6mAsXLhwm/e11X/5OulhmE4ACowAykdrUGeEAiUKmHgRj/MQfdi4DFMMiJEkV1TJMuKryWJLkGIRekGUEoVA4RPfsyDqcVYkyvZtAFmqASkWGHgBgXaCXGCokfHJthnYBvTjqMIX2ZZBihmqkAXDVKzYHbf97OIw1zqCYKBgioZj+23XsBnVeWtei4vyHz8PXV0Wwo4enRcvzKIrzmk/Ys4f/KerzNmodu67xaPk0Y4VPkEjxGpAplKOM9pBReGtkQmeG8dPOxnxnzfBoDbYT1BpY51Yw6IgV7zdfB0Psx9FhnGwgrcnccgblSH6KDJMmQUt68wGXmz2DB033XQTN910E+vXrw8UaMEPf/jDWWpVgnZY+dD/cWf19zxdyNPT0cWFL/n0bDcpwQ6E53kBYY4n3iRIMB3IZBTvWb9+Pf39/dts1dhq0rwvfaxjE8P0Ba+w1UA1pb6BUnCfYPeAPMuyGlkyfsRbTXvlDiGpEwVLkix04izkJ15dUFecZXsHW2X8+oP/JG1DfLAQWjTEwqFsAU5gvxBlW7eBZPykDz1ir+oXzMhaNVW4xPRwjLoixFL8o55qP5jOLwzScOwocYbtsmzo10agk2UgIMxC3FsUZoFJoC4LWc4Uylhph6wV+slBdSziKrOoz/p6Ys+QTorjryf3TzK85c2AdHFAEeMs1RaDQKvinGMti4L7tIZFwTOl434OpNe3aOh42LduCIa1QZYr2Isiwxr5DzFEH4uZG6+VGzNEmufqQEDBZz7zGS666CIOP/xwFi5cmKhWcxgNz+PBaz/IT/rVf3iffdnn6bF7trBVghcSxMOczbYfa5IgwXRAnq+JiYkdR5rPYG/+mycj86Ry3bBfWU4nz/Lae5giVTIUCUsPD9PHGhaSp0KBEZ5m14hvWL7F15ynzFqf+ACBZ1WHVCJUv9XgwzATOCy8oQpoWEEJZytGqCG0X9Q0MiXHlnkGdd/5rFRz0/Qwc1UM01MeZ88MyWa8UAj4RFWdawObDtsJ1V9BDuoS66Ytiqt98YSJsqv+CJl+tb7JyXKbh0ePzjNDdbmjq4qdccnmqmGb/Ouik0ep+hhXn3Xyq0O/L+pqmsHbAsCPDAyTICTlRAi6RM1VyTBIPxXyEe+xILRseDzAQS2qstp3b8tzNRR4nPejdxLbhkrTGKaHEc7jsLbr7GjUMeh4EZLmyy67jMsvv5x//Md/nO2mJNgC/nzVJfywdxONlMUrBl7Ky3ee3dLzCWYPSec2wUxiOp6vrSbNO/vy53DDV5k7hhlu9NHXMRwMBhymSLmapy87RKlRoNBRCsjsEH2aimj5BU/CUsTxwX9AizoYeHJ95Tr+G8JBgVKFUI6ne5xFJVREzdC2dQO/M+DH3WUDUmb69E3UZhlwmKdMtSMbKLrZfA133AoH2KXr0eqBgmDaoKGR9poX3h7PJ6g1spHCKJuD+JQNnzRPSpbbeph9a0m6HpTItnJVFS2XVtc2b1UC/3IdFQ+oTwuybWwaFm7EVgEEyRfiLa4GHROlSg9p6SDRZI3NqxNiu4gX4NFxPwf6toqwnLbEIMqbiDge9qPpPIzAjqT23cuekxWK2cFwsehoKaO4/WjM0YGAAtd1OfbYY2e7GQm2gKF1q7hrzXd5ojdLHptPH//vs92kBAkSJJgU2zSap9EISe5wo4+RDQWYDyMbChQHhiltLGClXYarRSqlPCyAcilP37xhqm6GrKXykN2GBR2S3VxsO/gvrp6KT7mqVXLT1xMSqxNkRYyVNyI+mFCSG0ILh6osKOoxKJVTfLJ5KgFpFqIs+5aKhLmOMkbWw3EtDNMgkwsH+zVMUyOrMQKtqc66FSISBbcVaM1bNlp/txDmZvg7XafDdmh4JlbaIZOrqizmhkGuoxx0RgCfMNeCgZO9lMho0xDaNHRIh0XulUTOxe+7qxG/CnksXKpkgqjDDFXWMxBYdVR1v1Y7RokCq1gS7H8VS4JnbhVLAALSrnfw9HY/vHE/+uaFJBmiedjZZrWtlX024GHQfBEqze973/v42c9+xic/+cnZbkqCzeCOK/+FHxeUyPDx4z5Nb3ryqM0ECRIkmG1sE2k+jiw/2aBigXrnlwBFmAGGBvtojHZBcRNWWpGP4XVFrLTD8MY+ReSKitBlc1VKjQKZjnDQnfiVhexI4oEOPQ9aCK1AJ1tZqoENI64TKj+tGdlOPM9AEFEnJNzzlWXxLxvatKijqjx0PfQ8W9nAGqEymS3o9GJkNkZeNdU5+G1GCYo7SQW+CExPJWFEpk1Fitt5l4Usm16oLKcd6hOK9Ot2jEJHiQzVoNR4XEXOx2wRap1a5Nq2g965kcGc8jbAjRHpzcXs6RA7BihlON42CMmy2EZKFKi6/tsCSz2bpUYBJ94JQZFkrxHej76OYeY1FsyEjXib4DUMmo0ZIM0zsE/BxRdfzLXXXsvy5cuxLGubIqjGx8f53ve+x4033shBBx1EZ2dnZPlXv/rVaWptgm3F/bf/ll+mV1BP2RyRP5DX7v662W5SggQJEmwW20Sav0k/P6EGpBjZUKAxqGoadwyMBeu4Q924IyDWULcIVGzIOYwO9arfC5RlwMkrMpLPhvnM+mA/UXSBgKxKee6cNlhQJ1YyCFCPoJuMrOn2DEWeHV819gKFUZTlLDVNaVaEPao8VwK7hoEqWuJikc2q/bjjVkBGMeqaHWMy8qzP86fNKdw208+KDhIwzNb9QpQsQ4uy7NVNstkqXsOY1I5RD5TlalDCukAJCzemNIfkWvcrxyFvA+JvE1SsoBPYJ8Qv72AxRB8V8mSosYZFkcGhazQfvECvhBhYNhqFwPdt+RaUoKMH5ArhPgYH+yP7k87jkNfHnanostmEVzdoTKWTtZVozsA+Ba7r8pa3vIVjjjmGH/zgB9u0j/vvv59DDjkEgAcffHAaW5dgOuCMV7n97o9z/zybdLODz5/4tcTPmuB5i1tvvZX3vOc9PP30022nX+gYHh5m33335c4779ymiqtve9vbOOKIIzj33HMj8+fidd0m0pzrMGDUpjGu1JuOgTEag12KPA/5e5XErRowCmBDRfvOQW1dL9QJBsxVhgpkCmUK3SUgatFQXtNMoDBLugaElQLjgwgF4av/cGCgbgnQ15HtReV0/YgzOZ7rFz8Rf2zNJ86GRqRz/rSeUe1ik8+WqZqqFyFETIbEtSXP8bSNzZSybkEL0SYc2AdtyTKAnXEBFyvtBIQZINdRjtgv8lSC61FkOOJjjucb5ygHKn6GasSPLNdNEM9xlpg5UaCHKAadmqkg/pZCKgJGLBvVAtVyRjt/wo4dQE5dm8q6vuC6dvSMoWNkQ4He+SXq4530dEVVzdmEO26Rsqbf09wcbx3MOV34zGc+A8Dll1++zfu45ZZbpqk1CWYCN175cX5cUL/PPPgsBroGZrU9CRLsCLzsZS/jtttuA1SFut13351PfvKTvOMd75jllm0fLr74Yt7whjdsE2EG+MQnPsFLX/pS3ve+99HTM7eTc7a5QsEhVop7x9XvxmAXrCMkynXgQX/v8n/hOlSE2hA+eQYmgDw0hrugoP4I10p5aqU8uWJJrZNVg/okhUFey9u4AfGxcILBhErBVJXmRIUUwmbhBNPtVE6ZF1oJLEw/51nynjPUkJxny68hKPF0VnBs8TpnAzW6JsezwG1YmNpgPqdmBaQ1IM91M5qTrBPmrSHP0J4wx8gyEEnFyFsVPMsIyLAkYXi+wpyhiodJP4OB71d8zS5WYMmQzgcom4b8trTOSztImXMh2DVNdQ6rTroMUaRMLvBXP83SoLPyBLsHFpxVLGlRm8vVvPLcAx2Guqi1db3h8ynW/SGbIATEt1w2hrvo6FOdRXnDMrKhwHzXgK4t3I8dCK9ukJpBpXnTpk2R+bZtY9vTT9Knije96U1bXCeVSnHVVVftgNYkaIe1z6zgf8Z+T7Urze7GAO8+5L2z3aQECWYczWaT++67j6985Su8853vpFar8Y1vfIN3v/vdHHPMMey6666z3cRtQrVa5Qc/+AF//OMft3kfBxxwALvvvjs//elPOfPMM6exddOPbSbNP19gsPdjWvGOIf9jAPP9lerAQ0Ba23Dcnx4iJH8eUNf+0BbqVIYKAbFzx/sozCsFpEcqy0GYkgHgamWYQyU4G2wTh6jNRoyFSqKG7sOVohySomDhtqjMNTL0Ugqyny0//bni20f0hA1QuclZjTzXKtngnDHbpGwItkSazTa/g0QMAt9yh1EPlFUgaIvYMOQayaA+Icx5yjhYFPxyNuJtlo5FH8N+3rU6uB5Hl/U7HeIp19eT4+nQkzEknaUdpIAOwHoG2lbkW1NV/ua1Q0ugZEIhTAZpDHcRcGoRivUOnnR+1xFc/4bPjht/64IFkOof4/ri7BHGdqjXDVITM0ealyxZEpn/qU99ik9/+tPTfrypYq6rFAng2t+ewZ8KaYwmfOmkb9GR2o4g+gQvWDSbTWoT7f+/n2lkOo1ptws9/vjjlMtlXvOa17BggVIYTz/9dC699FJWrFjxvCXN1113HbZtc/TRR7cs++d//mceeOAB/vd//7dl2U477cQHP/hBzj//fABOPvlkfvGLX7xwSfNe6ZTiyxv8GUUUyfCAR/09Sy0InSiP+/NrQB4YJiSBQ7KNr7IWPCqlPFbaobSxAPMUWZUyxTZuUEFQEhOUtlsLVGg7IGUurl+8RFebhTCLomn4g/5EETV884eLRZZq4MUVC4euMoc+6rCct07IdcJXJRsMgBRF09MUQbduhHenbb7z5u9Pe+LsBd9W2gmi6IQsS3uEMCuya5DzXeZigfEwKDIcKMdCpF0s+hjC9hX+IkOBKp+nrPnLzZZro0NUZv1a1fwBmOJ3VyXC+yOkepDwFe9afwBgHYO1GxcFMX2Vp4uQ0447ZIfEWC6/PKcQdvgGCa95wf9eDlq9E5pruzhobhQCDND0TJreNv8znxz+PletWkV3d3cwezKV+fzzz+eLX/ziZnf5yCOPsM8++2xXs370ox9t1/YJZhZ/vfEKfpEbBEzetOh17NW392w3KcEcRW3CY78Lt1293B48fNGJZK3p/X/znnvuobe3l/322w+A5557jo9//OPYts1BBx00rcfakbj99ts57LDWugQPPfQQ3/ve97j99tvbbrfvvvuyfPnyYPrII4/k4osvxnGcWX1buSVsVxd/Z31iKLaw7s8r+Z9x/1vWHUUpe/o8+X5OltkwZOP6g7Oq1bByn8TEqemwSIl864Uwav4QNQijy8Rz7GEGA/nkowaw1chS84/kBCkRFm5AEmVQYp4Ktj9fPjIgsJcSvZQw/XVB2RgWsSaYznTU1CdXDchdh+0o64SU4043fbXYv07mFD/ppr99PdinDHKz0g7ZXDU4PhDE/ultlWIeUghEzhGgV/utZxUXGQ6Ki8iAQUFWK7kt17cdgdZj5uLQ0zP0aLhh+gLCPVgdiBSmEStGgOVm+PypjeFpiNQ7kedRf7430Ip1kK20mT/bCMqjz8AH6O7ujnwm+8/u3HPP5ZFHHtnsZ7fddtuRVybBDsZ4bYzrHv4Cg6bJ/Eaa817x6dluUoIEOwz33nsvo6Oj5PN5MpkMS5Ys4YYbbuCyyy5j0SIl8jSbTV796lcH25xyyin09vby5je/ObKv3//+9+y9997sueeefP/739+udm3NMYaGhnjb294WWe+ZZ54J2q/jy1/+MkccccSkefnz5s1j3bp1wfSiRYtwXTcybyq4+uqrOfvss7dqm+3BdnWlPrsXnPqINkPUZtmrKMcVFDmp+NPjKHV1lFC9K6EUPPGRCv/KACUTd7wbiptwxy0K80qAUiALjPjqc6+vZrpBmoaozSp6rh5UkNNznPUUh3ZWDZlWVgKlSLfzNgtpE9uGjRMZyKgfA8JS4LodwbPUby9tYqV95TnjKtuGrjzXt3DbZHHaPxdfUbYzbqguZ6tBu3RlWVT0AqWIHUN+i7/Z9W0YYsnQ1Wbdy9zHcMTnDSEZzmr2Fx36PFGZ5ZrFB/bp6+oFSOIDBUcfXRCqxg+aaJw7asPYnNqsW4r0bQH64GNzMWLWMaFzBpRmZ+v2OX/+fObPn7/lFRO8YPG7Kz/C77rVP7ALjruItJnewhYJXszIdBo8fNGJs3bs6ca9997LmWeeyVlnnUWpVOIjH/kIxx13HO95z3uCde6+++7IYLoPfehDnHbaaVxxxRXBvHq9zjnnnMMtt9xCT08Phx12GKeccgp9fX1sC7bmGMVikdWrVzM2NkZXl7In1mo10unov+V6vc6vf/3rSE7+GWecwZFHHsnpp58OQLlcJpMJK+/K72p1asXbBHpS0o7AdinN794lNkN8zXXt96Pab1mnhCIpouiVtO91KLIyDowRkhn8GLtxm9LGQlAiukRvMAhQJ1U6uRJvsxBkiZMzqAc2DF0JNf0MB6WCuoEamqXqq6wj2m81+K1AKVCeJT1D5kUVaEUc80FrywEpFZtJNlvF9lVgr25gpX3VWTKUC05UeW6nLOeciLIsWct22gkIsxxP2iPf0s5CGxVZVOd+BoNlAwwGpdP15Ax94J0+Xzoxcm/iySXqO0rKdBtGmTweJkMUGaKIh8kg/QwygIPFKncJ6zf2445brH9sZ9znfPuAvMHQ8SDhM7YK1ZFbTVSBLtGKQVrU548f0Ga92UZ9Bj8zhGeffZbly5fz7LPP4nkey5cvZ/ny5VQqc1HKTzAVrHlmBb9xbsZLpTjC2oNX7XXSbDcpwRxHKpUia5mz8pmJ+MN7772XY489lj322IPDDz+cb3/723zxi1+MxKddc801nHzyycH08ccfTz4fFYruvPNO9t9/fxYvXkwul+Okk07i+uuv3+Z2be0xXvWqV0WOVywWGRkZiWz/5JNPUi6XOfDAAwFoNBr86le/ihzn/vvvD6wqABs3bgTYanHl/vvv57HHHuO4445jt912m/GI0e0egXHMYkJSrBPjIUI1T6wZukWjRGjRkA/a9qJOr9O2HQfqBu64jVc3IwRLt2MIxILh+KpylWxATi1/MKEMHqv788WGIQPb5CPTlm/VkOlezapRoISNE7FixL8LlFjCqoAox8mzHF+3bFhpl2w+tG9kclVFntP11o/pQdpV1fsyajsr7QaWjEyHmFXCc5LjClmOE2ad9PcxHLFs9LM+uN4hcR6hn8HgvGVd/bftZzgDgeEmXrVR7mm7wX/xKn+C4WqxZd0IVvvP0YMoEg2KLJdi64klQ74fJPqMC/zp3DhzE89D0nzhhReybNkyPvWpT1GpVFi2bBnLli3j7rvvnrmDJphR/OKaM3gwbZFuwOdO/vZsNydBgh2Kp556ilKpxAEHhMrKfvvtx+67787PfvazYN6NN97ICSecsNl9rVmzhsWLFwfTixcvZvXq1dPa3s0d4+STT+aaa64Jli1btoyHH344sr0UpMrllKD5xz/+kZGRkUCR/utf/8rq1as55ZRTgm0efPBBdtppJ4rFLfwNj+H+++9n6dKl3HHHHZx11llcffXVW7X91mK739v++kRY+DdCMlEk9DGX/CMU/GUlVMwchH90K0RflYtanybIc44MIBwyoaisC6VNhUimc4FSQKAKjAQKdIERP/qtEpBnnVCLd1kgv+NkLUzb8IJotTqG73XOB2q2FFGJf+uRaUJCpfyyEMUShYhtwbUs8EtXC8qlPFauqgqkxGB2ehj+QL+gGmFH6NcOE0icwHNs+oRfXatSsK+CRnb16aJPnGWAn6RnOFj0MRxYM4oMB4MoZVv5ra6SRPmFtgqJCYTQYiGdHsnqFmyuKqA7bsM6Wz1/FVTnS94gPUc00UXHg9Cy2zghfjS2TgNu/odJmzK7mCmCO4Ok+fLLL9+ujOYEcwt/vuXn/Ca7HjB4x87/wILcwtluUoIEOxT33HMPnZ2d7LXXXpH5r3zlK/nNb37Dxz72McrlMqZpRiwL24NDDjmEer31P+rrr7++rQd5qli2bBn33XdfMH3iiSdywQUXMDIyQm+v8ijusssupFIpfv7zn9PV1cVHPvIRXve613H11VezZMkSPvCBD3DCCSfwkpe8JNjP7bffHvFzTwW1Wg3P8/inf/onACYmJigUCtt8blPBdpPmBTmwxgkpp3iaCyiSXEcpeZ3+vDH/kyb0L5e0lowSxnulAZtoBFgPMGRSqxfIFEuUNhWgm4AwK0tEnTJ5P/7NCZIxbJwgQ9j1vchS0U8Kb9gtRLceIdRCZsXXLMVOJGouuq0X7KMdhukLyGSorpoRb24wuLEjvFX1nIFXV77ndjDMOlmrFjm+Sehf1i0Rcv6ilgMtBLrACB5mxOcs56x8y0PkqVAjQ4aaH8VXCRJNcj6xBoJrpq6T8oJLmXI5XzUdt2dkAm+zTpxFcR6mqJ4F/CIkJf/12jpC+0WcLJdRzyIoBTpHFDIeQbaJk2XBBjhi2/8Pmlk4TMO/8kn2myDBFjDhOvz6oYsp5Q0Wexn+9eUXzHaTEiTY4bj33nvZc889sSwrMv+EE07gsssu47nnnmOnnXbCcRxc121ZT8eiRYsiyvLq1as58sgjW9bTkym2Fps7xsMPPxyxVRx44IEceuih/PKXv+SMM84AYMGCBVx88cV84Qtf4KqrruJzn/schx12GG94wxu48sorOfnkk/n2t8M3TuPj4/z2t7/lD3/4w1a188EHH+Twww8Pph944AFOO+20bTrnqWJaAjJPO4KouiyeZh0TRF+Bj/vr1AgLRwi5GfV/11EDAieIIj6NZPjW/Siy3oAklskHHmYVVeYFsXC2H0MXWivcIB0jtC/U/HwO9ZEEDbE26NYFVTraocAINo4fuVaPkE/1Hd1Gt2nodgkh8lKJT6rxZa0a2Wx18o9PmHVrSUbbr34M+UDoZ45aM1SbxXoR9y6L6qzP62d9y3ayb8C/fupm68Q+3jlRcYFGpIKgpGHoqnOJQkCYa0OF8KGIP4M6nmZy4vcEUbtQqc2+NKvGK3fazHFmG89De0aCFw7++5fnc73fGf3Y330es2MmenAJEsxtfP7zn+ehhx5qmf+mN72JRqPBTjupPyLHH388t95662b3deSRR/Lggw+yevVqKpUK//M//8OJJ07vgMnNHSPuuwZlqfv6179Oo9EI5l1wwQWMjo6ybt06TjvtNA4++GCefvppKpUKP//5zwNVGlRU6JFHHtk263lzuP/++wPfNCjSrE/PBKblf7DvvAUu+402o0RorRAvMqhKaQ5RRW9Ma0UnUSWw5K877G9XJKJE14aU2izEy8Sj4iubQpL7GKZMHhuHDDWqZCkyFFgzen3SqghqLTi0ZArr+c2iIIde6tBHLYVL4ttNhmGKAVlVucRKiZUoPVBqtn4s/VuU6XZopyrrySAheXX8uDwnsG6EavNIZF3dlyzZzLoto8AINT/NJEstqIQoFg5JHSkwgovtX68KesESV7vuVbKaPcNGCs5MGROx35LG8hxh50wsG0KQ48S4pO0nE1un4H9vgBsvmnqzdjieh/aMBC8MDA2u4tfV/6Fpd3KMsTsv3fOVs92kBAnmNE4++WSuvPLKwKZwwgkn8Le//Y2xsTF22mknfvWrX3HMMcdwySWX8PKXv5xGo8F55523zckZ23KMP/zhD/zmN7+J7ON1r3sdjz/+OKtXr24peDUVdHZ28h//8R9bvd3999/PK1+p/l+p1+uUSqXtuhZTwbR1+4/dG/58jzajQiT5gjSKIOtkxvTni9pcQBGVNFHyLH+gh1ClujtRr9+LdWpDBUqmx6LsmoC4SgU+FTuXo8hwEAXX5/92/Zg0qR5o+aW29cSHuN1CzZOiJYrAOVjUyAbpEmVyPnksRXzWQjoFYj9YT3+gBAOB3UPt29bobkiaVRb15LdOt2PI+QhxlhQQKWNdYCRYV9I+dHVcb7eo4kWGA+JcoESNjF8ApYJBHRebot9ZEUW5RibiX85SDe6XSsOIDviT5ZLFLdda3hTUyGBqbw9AU5k3aCOf1xGNQJzsso3Fpgf9b0muk06goAQUID87BaumjoQ0J5gl/OjXZ/BotpNsAz77pstmuzkJEsx5HHPMMZHM4RtvvLHteq9//et5/etfPy3H3JpjDA0NYZpmW9/w9mQlv+9979um7b7+9a8Hv03TZOXKldvchqli2uqXXv1h/0eJUCEWiNpcQSnGJRRJLhMdZFXyp8XeUSe0dOhkJ0jpMCHtYph1Bt1+gAiJUgqzS4YqVTIB6QNFyqTKX2B78L8tnKDcc2DV8MoUnBEyTpV8tUK2WsPwPLJejT5vmLxX9i0Zw5GoOWgtBiKV9cSykPO/RbnV4+lakzVU0RXdaqHbMKTYSsYv6aLbMgqMBPuX9U284PhAsL20FQgSM/RPL6UWq0be8wcMetq+/Hk5v2MgdhcIOyAQdkJEoa/79gyBTpwFEkNXdnNB/nTgZR4l9CTLsyTQn7lVRG0aekevhCLTw/5vUanlMwK3zXWLpsfMWDPmemdhhvGtb32LpUuXkk6nOeqoo7jzzjsnXffyyy8nlUpFPvFc0xca7rvnen5nPw3Amwdez0B+jpXKTJBgGrF06dIIaYxPTxWGYczplKBiscgNN9yww443Xdd1OjFtSnOxG9Kez0d0n7Ikg43HjiYDlMqEtgxxHIiqVyJ8DT5EpGSxvq/RoV76Fw0GZEz8yQAZfzCaKJ/9DFL1VU/xIDt+okMdgwE/Qk3i0AzPw3ZCpdmoh9/WuCvVhHHsDjL1OjU7GxDLeKKHQFRjsWjItG7NGGQg8DULUZSS4RAt6hGHbsfQB/lJYohcI5nOUw7KistASj1RQ0/P0AcC5qsV6kYHNTtLb3UUx7borY5ijYNnqmvj2BbF6jCObVE1Mr6CnMHCoUbW76AYkQi5+LnIPZTBhFK6HEKPc6WUh4pGmCeDKM/riPqWx7XpEqHCvBkYY3DIrlteb1YxzjR2jWP7fZHiyiuv5JxzzuGyyy7jqKOO4tJLL+XEE09kxYoV9Pf3t92mu7ubFStWBNMzkQM7V9BsNPivv55PKWewuG5x9ms+PdtNSpBgRjEXyd0LAXPxuk7rqIyP/gN89puxmfor8TTqj63wvQyhAjgBEd4k25T87Qr+vgxgoT9/ATBkY+20KagKOMAgJQpYOPRSokKeftZTJUsfQ5TJM8B6Mr5VQEiokETdomF5fgpGHUx5fV+Pfpt+O820MsDbtpIqq12KiJeMQiTZY5i+YP9CknUCKL91whx6qaN51HFfs+6j1omzVOjTLRqSFKIGLqoy33IcUaChXZKG+s5X1Xl2bWpg2xXMUbDTLtShaYM5Cl4f5EddXF9Uy3o1XMOiyDBD9PnHswL/dZWs/1YgGzk/DzMgzu1Qq2TbzsckfCtRiv3WsZYwoaUE6Ik/sm5aWzcD9MD7Nx+nOTcwQduBs9Oy3xcpvvrVr/L+97+f9773vQBcdtllXHvttfzwhz/k/PPPb7tNKpViwYIXh9p69e+/xA1dLpDiQ4d/nM6Ozi1ukyBBggTPB0wrab7oVPjst4BmbEHdP5KoUx6K/NZQBMRBKXui9BUIVWadPBdRxFqynX312Uq7lKoFBrKKMC9kTUCwFrHWJ8qD1MjSzyBZqoEP2cGmjyHfJ2yQ85XfrKek8uyYiymquLy6119Ny28H6ALTJ435UZdyjxVYFTwj6kmGsJz0IAOBgiuqsutTWlGGhykG9hF1STc/EBAIfMuKOFcDNVlXlzN+WXFRo3USrQ8ODCwXo0pBNkfVNWnaYA5r18eBlKnupz2q7rntgVF3qXZZWJ6La6gORYV8cI4SBViNMFb9MpuBJ1qSNmp+CkoE4yiCKx0siFouojsNn7kK0X8Nw/72etyhpj6nSvCdD012B+YQPGbGSvEitWe4rss999zDBReEvpyOjg5OOOEE/vKXv0y6XaVSYZdddqHRaHDooYfyuc99jv3333/S9R3HwXFC39CmTZum5wRmGLWxMr9a82MaGYNDmwOcdPCbZrtJCRIkSDBtmPYXt5ddgCKQ8tF9kONEPZHit4yjFJvW+aFk7Y4TFD6pDBXIZqtBWoYqmlELBphJXrB4amUAWpjZbPtDy2qKnPmEuXu9qxRm8bA6hDnT8gkqFaKI1jCkRtUnP+oqkmkYgUIrHmPxL8c/xaD91WBwnfqo5Tnf16xykGstH/Ez5zS/c+hzDv3Nth+bJ8QZQj+zkGghzEEk3agiqKbYH4YhtRHYhLJEyN/1MX9a1vNJa3bMH1jphUQ3XgDG9FVnHfrASOkMhZ0LCyvtQt0IyXE8uhCiWeAyLYhHz8k2cn/jpLsKn9u2cQs7HomneVoxNDSE53kMDAxE5g8MDLBu3bq22+y999788Ic/5Oqrr+anP/0pjUaDY489lueee67t+qAiqnp6eoLPtoxInw18/1f/yv0ZA6vR5FOvTSr/JUiQ4IWFaQ/NPOMU+OfPQFPsDBmUohxPzdDVZyliAkr5K6BIjQHMJ4yZi4+dGQJ2gp4FQziuRcEqMUg/A6wP7BBql0ppFiVzQLNrVMn4RNUKqtV5hkHvWt+ULechKnk8ZUFIv1zJLn+dLkWcAfKm2pfXbZBp41+WBA6IepnrGIEaXSMTSc2YrGx49LseZE9LCXBdQdbVZSHRMp3zLRoGHvlNNYx6eD6Ra+ArzoyiOjGjhEkpPeG1MNdDvV8R52qXhY2LRw3HL27iIkVgxK4RdnrkfAVyTQLFflwLgpf7NJm6XCMkzOXYshKbh7wRAc4/dQvrzhWMAzNhn30Re5q3FscccwzHHHNMMH3sscey77778t3vfpfPfvazbbe54IILOOecc4LpTZs2zXnivGrVo/yufid0GpzUdRS79e+15Y0SJEiQ4HmEGUma/+1X4Q1n+BO12MI4eYZwkGDOXy5v6DsJbRqj/vyd/HmLCcjb6NML6Fm6jpJbYJG1NlBGB3wrBqj0BvEzR+0a63GwKTKkoufklagQQWkf2rSobDph9lCEKj4IrUcps04fZBzVlpIdDugbooiNG1gqJGZNMorX+z7njF9aWyeR7SwaQnQh9DULYZZEEPE0gxrwmKEWBNlJ/J6JF/iWjTqkhCjLt5Blydk2/HlyDYQw2wQVIE1/Xdt0qRsdeLYRVGlsl8Es8YH6OUtBGuk8OK5PmMfN8D7phE7alSZKinXCXCe6rUn4bMpAVe1ZveD5ojJDEjk3zSgWixiGweDgYGT+4ODglD3LnZ2dLFu2jCeeeGLSdWzbxranMBp1DuF71/4L6zIGxXqKj73xG7PdnAQJEiSYdszEuHpe/wro7yO0YMT5kBBnGRRoEKrO+piRCiHZkezmIf97GKXq5hzIOapKnlULcn/lW35LdrMU3RCLhuQHZ6hheS6eaZIda9CUdo0TWjE8opYT/G/driGv+ke171GwxyA71iA71sD2lVyxUEiUXMaPklP+Ywfb9x7rFQGlImGmjTVDLCYSNSfbKKLsBqRY/M1yXNtXmmX/Ng4Zp4o1rtqdEruFbrsQwox23mPavErsusj9RpVdB22gZSxuTkeOsABMHKI4u+ObIRfSASv53w5Ru49HtPMmKBPt4FVQHUAPPvd88DILEnvGtMKyLA477DBuuummYF6j0eCmm26KqMmbg+d5PPDAAyxcuHCmmrnD8Zc7r+YPtupI/OPSd5O1uma5RQkSJEgw/Zixmqa3/Qz20dMF5I+sEBZdUYbQliEeUinqkvM/RdQf6wKKAC1FEee8TW7pEOVqnkXZNZQosIRVlMmzyB8QWCYfDA5cxFqqZBlgkCpZdkepPTaOGqC2qRIZ6BYQPiHDQhhiKRqB5USHbNujzikF1PvC5ImhbJiksYZFQFgRz8ZliD5fBfYCZTmeoKGaEJaajqrMYZETVTbcwaAepGMIYRYSnaFK1qthOy7WuG/H0M9VvxaONi1qslyvLkLbjVgaxrX5XWA7Dapm1EoSb79AOkDx3y3oQj0T4nkHRXTF1qOT4M7YOjri07JeE657vtk0E6V52nHOOedw6qmncvjhh3PkkUdy6aWXMjY2FqRpvPvd72bx4sV8/vOfB+Ciiy7i6KOPZo899qBUKvHlL3+ZZ555ZpsD/ecamo0GV9zzGcazHew5keG9rzh3tpuUIEGCBDOCGSPNe+8GhW4o6YO+heeJmiy2Bj2CDkJPbBcq4mshKld3H3+5PwCQIpCrUxkqsHDnkCjHibMozYo451jE2oCUSYpGlSx9zhCO3UHXxoZq2xpaFVWIpoDUtd8QEsgubf10uJ6ZA9OBkfkZnwaHxVYc7IhVI0vWty7UA7IsRT6EOLYjzO3KZ5sBcXYjFg4ZgGfgBQMgQbNjjPvnJoq7fh0gVN4lYUTOX78OjvZtQsr/Nup1MFRHQSoCGlrbdMSJc9BxsMArmFTqBuRNRZrjHZq6fw+ENEsuuJ7NDK0dH/3ZBLI2nHR8S9PmNiaIKuvTud8XKd761reyYcMGLrzwQtatW8chhxzCH/7wh2Bw4LPPPktHR/gSb2RkhPe///2sW7eO3t5eDjvsMP785z+z3377zdYpTCt+de0XuSM7QarZ5MPHfvYFnUGdIEGCFzdmjDQD3PRTOEyvwigkRM9kNvz5OX9avoU4F1GES0cF5W0eAnImmaUjlDYVWNLdnjjLgEBTUzX1AYF5yip1w7bp3VAL/cw9KOIMrYQxruAJMRNFWh8YOAq+kBwmSXTVMGwP0xAvcyYguKAi5kQZdrXaeBlqlMlpqRNRSB6zipvTlWYnSKaQgiG2v47YPwBsx8UeI7SdeH6bhcfGlXe9aI3YbWRdXXl2CK0Qpuo4ODZBdrW6L1HVOd4Z0Etu6/DqRngPtqSA6kQ6TibbvS3Q+PvfrtvCvuciHGZmIGA8ceRFhg9+8IN88IMfbLvs1ltvjUx/7Wtf42tf+9oOaNWOR61W4Zdrfwp2B8c2F/N3+504201KkCBBghnDjHiaBYceAHkhvOIR9oj6loVI20Rfi8vrfUlkyBMdyFVAWTQKdWqlPIXuUsTLrFfk0+fLgEDd35yjjINFflONuo0iiRIlZ8S+9fbFfZ7jRAeU6esIEXXUeVnjKsLN8R3FUmhE4uj0wXqSJiHqqu3TaPmolAwnoNY6Ybb8/erRcnphE/EyW55LdkzZMoJ4vbgNRVeV5Rz1c43bWeLXS18XZdEQtNo02hPnKaFdckaaqB1I0D4WugXFXthjl6k3Yc4g8TQnmEF897/PYoXdQabR5GN//3zzLiVIMD249dZbWbp06aTTL3QMDw/T39/P008/vU3bv+1tb+OSSy5pmT8Xr+uMkmaANX/RjpJBkWBR9GRwnxDpDIrwdBH6XysoxVePohM1uuiA6ZErlihXt0yYC5SokaXX/85T8ZObs2S9GtUuSyU8eIRKt6ioQiJh8rgtidHT7Qri/x3Xftch5amPrUl2Nm6LX1dIrYeBpanIYeGScJCfLANVDCRe+EO3aMi+A3tGXZHUVHzgppyLEGaZN679FozHlkmHKJ5qoZFxR0vOiA8IjBPldn5nAMPUpgu0YktjkuLEOUO0YwesumML+5irmAnCPFM+6QTPK6xdt5Jr3L8C8Nr0Eew8f/dZblGCBHMbL3vZy0ilUqRSKSzLYt999+VnP/vZbDdru3HxxRfzhje8YZsJ7Sc+8QkuvvhiRkfj8WNzDzNOmnM5OOe9tGYsQ6gIyjL5QzyIUpYXoNTkTqCXsBJgMdw2V1Cm1CXZVRh4myXM+rQkZ0hesWtYqnhHnUhMmijDEXVV9zHHE0J01VXOSewJorZrxMPylGosRFgUYIl9C6vgeYHCLEMCJ/8o5VlsDLJPgdNi6gDPNFXlQ7Et6ERfhz4gMu7n1qP4xv3r6Ey+jlFvJcjmNhJnhDhLdKGgl3B+HJnYuvp6EqMH/Pu5kG73/D4fMDGDnwQvanzzd//MetNgfh3Oe9M3Z7s5CRLMaTSbTe677z6+8pWvsHbtWlasWMFrXvMa3v3ud7Ny5crZbt42o1qt8oMf/IDTTz99m/dxwAEHsPvuu/PTn/50Gls2M5hx0gxwycchLcqdTVjIxCZUm0VdrhMlMlI0S6/2VsJXncOosVXVJRQotRDnKtm201Wy5HyLRpUs+WoFV9RlGchWQRGnMaLReFsqTSxqc7tX2r763LTVx3ZcJEu55vuaxYec0Yp/CFEWTE6c69o6nj+I0AhUZn3/YaKGh+24Idlt51fVSXJ8sJz+rUNIeDzXOpYQt6UEjS19B9CJcUGb1gee6qpzXZs/CSnuXwAfP7P9sucF4h276fwkeNFi+UO3cn3nKgDevuitZO0kYi7BNKPZBHdsdj7N5rSfzuOPP065XOY1r3kNCxYsYNddd+X000/H8zxWrFgx7cfbUbjuuuuwbZujjz66Zdk///M/85KXvKTtdjvttBNf+MIXgumTTz6ZX/ziFzPWzunCjA4E1LHhNsi/zJ/I+B/96MMoVTlPmGwgtQIK/ncJVdSkDyhDx9IxquUMiwbWBrspMALIoLEcS1hFlQyLWBuJoVvEGmpk2Z0nAahmM2oQoBC6jX47RgltF2K5kAFkceKgpy2Iwiy/5dtfnvKgbiu1VZRfIbkGqvR3iUIwLYVMhCi2K2wi0NMxZBtVIMULSLIaYGipLOeqqvgXuR/SQRAvdrvX8VvqOAhke1HZ/XlueuqE2cKhSnbS9TqMOg25eQOo5wnCzlacUIN6nsZj88uEnYYMDP55M+f4fIADTP///8ScP9OGp59+ms9+9rPcfPPNrFu3jkWLFvGud72Lj3/841hW6xuSBLOD791+PuOZDvZ0O3nfaz4+281J8ELERBU+t2jL680EPrYGpjlr/J577qG3tzdIzXnuuef4+Mc/jm3bHHTQQdN6rB2J22+/ncMOO6xl/kMPPcT3vvc9br/99rbb7bvvvixfvjyYPvLII7n44otxHGdOF3baIUoz+DaNdxJV9HQitpM2PU6Y2VwkJDYF1Ov2UfXdGO2id36JWiNDgRHKmkQdtWRU2irNecqspx9QlfgCn7UemSZ2DSF9WyofLOQsrU2LR1oGBIqiriE0adhheyK73TZpT98uXnnPwMPBwrEVGamL8q8P+tPPp126xGSIrxdXnNOqwyDt0Ns6ubJcb/ttpzVpvBicuPLCQ3Rg4HztfPT/E+V+ZQg6Tpd/brNn+PzA88ye8eijj9JoNPjud7/LQw89xNe+9jUuu+wyPvaxj83MARNsNa675Qf8b1r9ozrjkH9LIuYSJJgC7r33XkZHR8nn82QyGZYsWcINN9zAZZddxqJFqnPQbDZ59atfHWxzyimn0Nvby5vf/ObIviabv7VYtWoVxx9/PPvttx8HHXQQv/rVr4Jlv//979l7773Zc889+f73vw/A0NAQb3vb2yL7eOaZZ4L26/jyl7/MEUccwbHHHtv22PPmzWPdunXB9KJFi3BdNzJvKrj66qs5++yzt2qb7cEOU5oBLjkHvv17GK8TVfsK2kp1QqKcRtkzDvCX5fz5OwEVyOwxQrWSZVG3Uo2XsIoaWRb5OXEV8v68TCSjWZRmKXJSI0O/t566T6LMMZRSqZfF1pMhhDxuLv9W9y73ESrYXQTk0RyDTf0WJl4g3Fk4lOgNnM3hZQkLmkiRk9ZDhhFzekGUyZInqv4IONPwyOKq84aox1zvPEinQjzburIeyzQOtpdkFIFNRKE2PA+MzRFmRYxlgGT4nfN351DzzyOz0wi1db2hHSODerbi3nk5B1le0trrY6994NS/5/mPmbJSzJA94zWveQ2vec1rgunddtuNFStW8J3vfIevfOUrM3PQBFOGV6/z08e+QTOd4siJAice8dbZblKCFyo6s0rxna1jTzPuvfdezjzzTM466yxKpRIf+chHOO6443jPe94TrHP33XdHBtN96EMf4rTTTuOKK66I7Guy+VsL0zS59NJLOeSQQ1i3bh2HHXYYr33ta7Ftm3POOYdbbrmFnp4eDjvsME455RSKxSKrV69mbGyMri5FmGq1GunYoJ96vc6vf/1rPvnJTwbzzjjjDI488sjA+1wul8lkwlH48rtarW7VOdx///0ccsgh23L624QdpjQLNvyeaCbzTv63EOkCUcVZlMMiiuwIoV7gUKtkKXSXAlV2FUsCFVkg82qBwqxUab2cdo4yVSODOepXAoyTPFGade/rZN0N8WibtPfKagpnPfb2J0stUJpBJWBIAW2Zr2cUx93MYRCdhaRthA5m1eASheD6ZLWMv2qXRb3Lb1NXrN1d2vlK8/ROQ5ww64PpdKVaI8z6ubdaLqJKspDiik+Ya377a9p9HhhYr37kfNVZnjF5Znbyp+VNge6bXxCb7oIVv+SFgRlOz9i0aVPk4zjTH+A8OjrKvHnzpn2/CbYeP/rdJ3kg3cBqNPnwK1+Y2dMJ5ghSKWWRmI3PDLw9uffeezn22GPZY489OPzww/n2t7/NF7/4xUhM2zXXXMPJJ58cTB9//PHk8/mWfU02f2uxcOHCgHAuWLCAYrHIxo0bufPOO9l///1ZvHgxuVyOk046ieuvvx6AV73qVcFvgGKxyMjISGS/Tz75JOVymQMPPBCARqPBr371q0ib77///kiBp40bNwIwf/58tgb3338/jz32GMcddxy77bYbDz744FZtv7XY4aQ5l4Vz3kj7GLAhFMGRktlFQpuGoOLPr9j0FEeoun7vxPcnCyEUG4b+aRc3p1I0suSdMs0uaErShZTxTmsfIQvtSKH+WyfdXdp3F4HFo96liGrVyAQFO6pkWoiwKMaCeCnt9h/TJ85mJNJOjuNhBIQzSzXijzZlIGRcNdaJs1wPOW9D+613Fgw2+y7DqIdRd3GFWdot7ez15WD5LgamZbA6lE5fq/gkWifM+rd0wHTriCzLoZ61FNx52eRtft5hHJV/Pt0f/9/kkiVL6OnpCT5SOnq68MQTT/Af//EfnHHGGdO63wRbj7HqJq4a/h0AL0/tzgG7Hj7LLUqQ4PmBp556ilKpxAEHHBDM22+//dh9990jkXM33ngjJ5xwwmw0kXvuuQfP81iyZAlr1qxh8eLFwbLFixezevVqQA3Yu+aaa4Jly5Yt4+GHH47sq1QqAZDLqT/Gf/zjHxkZGQkU6b/+9a+sXr2aU045JdjmwQcfZKeddqJYLLI1uP/++1m6dCl33HEHZ511FldfffVWbb+12OGkGeCSf4IuIVMFQnuGrirvQ5Q8y8DABQR/sEefViMFq24mqPpXYAQLJ1Cc+xhmDYsC4hwS5VBpzvu1lKtdHap8tFgS8H9LcRNb+8RVVJ0o1rX19NSNHv5/e+8eH1V17v+/k5nMZCa3CQlJCHcRFQUFwSCXCpRU9CAqtlatVayKxUIVUSxe0NPTF+Kl9Gi1ivb06/F3rIpUBbXeEG+IinKxgBdUlIqEBBIyySQzmcnM7N8fe689e+dCEkgISZ736zWv2XvttfdesxLCZz/zWc+DZrxiTog5dIFrza2sbBhh3KbnGPTFgiqndMQsWdL4pY7FcJqZQYJ4iRmLC8O4TdtGwEi4BxBwZBDI9BDOso/X9AU3FNFudKGpotJWwdxU/wY4LekYm0s7pwSzDz8uIs2+A+bDEzXGE4uyZFgjyOkkfsdAX3jagCmT4bQTDj72LkUHZ8/YvXs3VVVV5uuWW25pchiLFi0y85M29/ryyy9t5+zZs4ezzjqLCy+8kNmzZ7ffnAiHxIP/mMsPrmQyYxq/O787PVkKQseyadMmUlJSOO6442ztU6dO5YUXXgB0u4LT6bRZFg6HkSNHMnz48EavkpLGlpcDBw5w+eWX89hjj7V43VGjRrFlyxZzf9q0aXz22We2aPPAgQNJSkri6aefZsuWLdx0001Mnz6d1atXs2XLFubMmUNxcbEts8a6detsfu7WEAqFiMViXHPNNQDU19fj8/nadI22ckQ9zVZq/g8c10AcEtFlsEcBo+giWUV3dwFjjMhpuRtXv2p8Lj8AOZQb/lYvHoK2jBmqnDZgepnzKLOV0s6p1VWWlgZJB9DFoBJeaUA1iaikykEcwx5VtkadrRFM1RYmYc1wJKNX9wvjx0eADEPg6v9gHEQNgZxYIKiLaV1Eq2hzQ5STWb+GbtnQczRnoFLbqbzPupfahctSQCXqSMbtTFTqs0WSQRfRFZbPGqZRCjlzP7WJNgvBtMQzW3NZNHKoMOfGRcR41zNp6D9n3cP+DUPIyq2kqqagcTEV0B/MyknYf9TvWa7RDuQPgLd+33icXZooHVNG25i/zMxMMjMzW+x+44032rx7TXHMMceY2yUlJUyZMoXx48e36g+50LGUlH7LP6ObwZHMOd7x9Pb16ewhCUKXYfPmzQwdOrRRBqDi4mKWL1/ODz/8QL9+/QiHw0QikXbJFGTNTHEwwuEw559/PosWLTIX7RUWFpqRZdADGEVFRQB8/vnnNlvFiBEjOPXUU3n22WfNbwQLCgpYsmQJd999N8899xx33XUXo0eP5rzzzmPFihXMmDGDhx9OVBCtq6tj1apVvPbaa236jNu3b2fMmMQ3Xtu2bePKK69s0zXaSqeJZoAti+GURxo0quhyvrFfj76wKwqM1KDOBakRyA2T06uCCG4zfVy2EU0GmhTOgGXxX0I451Kh52gG3NYFgEr0KZ9zcwsBrbOYhl0gOow2QzzHnLotAxKL2sK4ieIggr4oUFlMwhbBrIpeK3uFfmn7aqxEKjm36WFuaM9QotSPjwgu0gngx2f287uziRUG8NZG9GInDhLRZuVdtn7ehv5vhVUwN1EwBMBbGzfnXR9/01YN67YumD24jXevURrc5/ITwU0ot5rID5n6w9Yu42Sf8R617Jdbto1sIaXdsT5DB4vm1tK7d+9We9X27NnDlClTGD16NI8//jjJyZ3yhZhg4YGX5+JPSaawHm645IHOHo4gdCmWLl3apHXtggsuIB5PBKkmT57MO++80+aI66GiaRpXXHEFP/7xj7nsssvM9qKiIrZv386ePXvIysri1VdfNRf1NfRdA9xxxx0sXLiQ2bNnm3+vb7nllkbfPDZXZvvxxx+nqKioyVzPB2Pr1q2mbxp00Wzd7wg69X+jk/vDjUXoeWSt0eZc7Kvz6xPH0gsqSPcFyCkoJxJ32dLIeYwoKmDxL+sL/0roY1b/s3mZqSGMG1cduFRWCBUpVhHJhr5kdVy9Gto2YugiOZ1EmXCDsDsZRzRKwJHwF6tagCqSGsRrilolmAGbYIaEZSPx8hAxbB2AKbmt19Ezc7jxEiSdgKXdRxg3GTFdMIfdyfYIs7KeKLKMucgx3tW+smpY5yTN0mbMl5aGKZgTTuyEW9u6mNNMLWcIe2sZcMAwoeiLGjN8Ab28erqmP3j5LL9DYBd76vfNBfWP0j2J0jHp5toomlvLnj17mDx5MgMGDOCPf/wj+/fvp7S0tM1piIT2419frmetQw86/LzPz0l1tc/Xx4Ig2GnoFy4uLubCCy/klVdeoV+/fnz44YcHbW8r69evZ8WKFaxatYqRI0cycuRItm3bhtPpZNmyZUyZMoWRI0dy4403kpOjL/R67bXXbBmOAKZPn84111xji063hZSUFB588ME2n2cVzdFoFL/fb46zo+jUSDPAH8+HDZXwfjWJiFg5uqcZEiMsAJcvQKTOhSs1QrjOTb63jAgu+lCil8I2rAhhXBSyl7ARhY7gJo8yysjjWKOYScMorWkVSIO0A3Fd6NVaOjQnEhpGXdMs7WphIXqEOZDpMaPL+sI/Xeyq9GlqAV/EFMP6f07WzBkq2qz2rSLaQcwmmiO4yCBg2i/U/ZQfWrWHjawbXoJEHC4c7jIibjeRwZBRHdIrVLtJLI602lJUasA6S7u14mNT82RsRx3JRNxuQ/J6TBuGmiOV7URFlEN48BKyWHD0d4WXoB499wWoKc3Rc3qXoovjvcb4y4zOSjA7YNtt4Oz0fwkdRJiOSQ/XQaJ5zZo1fPPNN3zzzTf069fPdkzrgCpdQsssf/dmwqlJHB928quzJF+2IHQU48aNs+UcfvPNN5vs11x7W5k4caIt0m3l3HPP5dxzz7W1lZeX43Q6m/QNH06u5KuvvvqQznvggcS3Xk6n84iUIz8qvvdc9ysYmEYi2qwETYGxrXzNBpE6FznecqI4yKHCFJU+/HgJWVLL+RtElQNmgQ8VyawwlKDfnY23No63No6mFv+pyLLKT6ywRlGtCwRp0Mcy5mCaS89JbKAW7lnLXkdwmSnmGqLEZMgQkQkPdMOXh5DxCpBBObkN0swFzQWFFeQQNgauvM5hXESMajwZ1SHdStJUCj5Fc77lpgSzJVpt9TMrrBHyXMpxEMVtxMIBPEY0WQlltYBTfYMAkJ6sv7t8gcSFc9GLmmRj//0CHv4ZDG9bhpuuRQennGtvrrjiCjRNa/IlHHnWfPg06936qt0rh99IsqOFFb6C0AMZNGiQTTQ23G8tDoeDjRs3tt/A2pnc3FzWrFlzxO7XXvPaniRpR8n/RvE4OJ8CLc/SWJDYTM7Xw75mPl4g3wgb9qHETEWmsilYj+n7+0xhlWNJV5ZrmFtzqMBl5JhNqzaevBLdGkednZbthjmNLdHmsLFd6dWNwTWmxEtEnBtGWAFD/CYEtPI0R3DZips0jDQrEe4kZpgywmZEWX1OJZzVfHgJmtF6lbEigwB5MX2uIw4XGcEa3GWWz6pS06mIvHrIUJUElb1FYc3CkQ61mbpotkaag4aQB6jEZ6uOGCAdP9mE8JjHdEuJy/hR5VJmVHfce0CvThQpzyQ5q5Z4RZo+FvUNv+FnPrs3vPITuiXV1dVkZWXBqCpwtLxQr83EqmFLFlVVVa1aCCgcHurneSTnW4vH+eVfx7A1tZ7Twhn8v2u6ek154Wilrq6O7777jsGDBzcqlCEI7cXBfs9a+zf2qPlSOjkZtp4DIzYAloXZSiwD5OZXmLmLAcrI50Q+txUEieAij32EcVsW/O0zo8teglSQwyBjlVgYdyIiHdYjmVF3E0VO9M461vYsy7al8Ec0S7djKJQYDeK1WUOCDSLLypKhR5W9hI3osxqrlZYEc4AMIrjMRZFuIkRx2B4glIDeR76Z6k35viscObq8D9YQ9HpwpxrFUFRaPrWt8k83JZjVA4Rl0aTWTLDKOg9uIkRwm21u4wFAWTTU44BC+b6tvwvJWcbvjhpLAaZwHtar+wpmGx1Uua/DriscNTz9+h/ZmlqPU9P4zY/aN/+2IAhCV+SoEc0Aw32w+Fj4Qw2QZBfMAOVlORyf/xWAzdbgw2+KZGgsnN2EzdRqKnuGEqe5VJje32CaC3dYj1Q71UOISjunFvkplJdXHTOIGiJa2TH8Dp++b4g/FU1WkWW7xznheW5o01BRZtU3avqaE4NSZbRBtzK4CZtWBr2wiS56y8gzP78S0EG8fMOxZBCwPZQE8eLwJhRSdZ6LzJKIuW8rUpNFwtucRUKsqvlx6h7vmBNiTnukXN0z3RLttnqz9c8UpMxIqxKxCWb9Btn4KSOfnF76w1V5WdMLArIHwOcTmzzU/VA5xtsbEc3dmvr6CCt2/x+4YVK0kDHDJnX2kARBEDqdo0o0A/zXEPj8K3g+0y6Ys3v7yUlORJpjOMmnzBRdOegeZyUa95HHcezARYQwblM451BhFj2BROVA0G0Iyj8bTgN3LYk8yzXYS0jnJLa1NLtHN+BWQthpE8JqX7+vxyb8Vb8aw6qhsEeaE/maWxLNKp+xmwwzu4SXoFkVsIYM0o1os8MWYfZQRp4xEl3WK9uDI28v3toItXn6Z/XWxgmmJeOtjZNUa+S4DqMLtXTjXX1ES5ERlXIv4nCZ0XP955qYD6u/WS1c9JOtn2cI5mzjYSmCm0Hswo/PtK5UkEN2bz+V+30k59cSL9PVfeaAGAdO6EG+zChGMvR2piOuKRw1PPLCQr51Q1o8zg3Tu2MuRkEQhLZz1IlmgH8cB2NKnGxOjtIrz287psSugyhRHORSYcucodoAMswwsR6pzaXcFM5+fGZkWmWy8BIk6NVFrTcYSghnsIk+q70gYrVnACG3FycxojiMBXmN9yuNPGgxnARIN0V1jc3TrAtl5fUNW+wHqkS2wmpZUXPjNmPruk3DS9D0M+sfJ2DeT9UH6m+I1hIKzXR9yludQYB9jjzSMwNkhAOE3F59lAcTzOjVD5MsUUmVZi5mWVAUwmOKZ5VyDuyCWVFICbsYhA8/USObiHVBYBQHFeTiw08FORybv5OKeA6VgCPooGpwD/PLxdBTOrY3Ipq7LdU1lbxY/SakJHNm8nAG9jmu5ZMEQRB6AEelaAbYWOjmmOog1UBOckWj4zGc5FJOBgFTNEYMO0bMzKqhiy0ltK3CWVk6VLuyKPhifr3N7dLzFVvsB46ofVtFl52xuCEiE/aLphb7gT3VXcgSXQ40EMwJG4fH5u1tPA/NCeYwfrJNkRw2486JrBJKOKuo814KSSdANn5zPhzEbPmtg3hxuhP3q+iVTkZqDa46qO1lRJ1juk3FEdUFs5pDR1SfV6tgtvqyreW0E4I54X1Rn6U/u/HjoxIfGUZxFut1lGC2/t6keYJU53fnNBnNEKVjcuSIaO623P/8byhLSSY3GmfBhX/p7OEIgiAcNRy1ohng28xsflxfww9JkJvUOOOFlRgO8igzI82qLLSDmG3hn1VgKi+z2k4nQNDhwRvTvb/KRqB8zjGnnltYb8RMzeZvkGu54X2U+FSZIUJG8RKrwFYosW1fHJjIoKE+qzWDhsK6EFDl3gC9ip6XkHltNTeFRoxZCWV1PITXrKAIurfZauFQvuJ8d5me49nrxudI1J2PWjzeVsGs5tP6GcC+wFFtO4iZ2xnUmAValDj2EDKiym5TOFvnP4cKc7591PFNZl96JCKahTbwQ9l3vB7dqpfLTp+MLzO35ZMEQRB6CEe1aAZ4K6U/P9cC7MZa+ySXXMpNL7KKJMdwmpUBlb85hsOMPFqFYIAMMggQIMM8Xy0oczoSgtcVi5iWDUcsZvPhNoWDqOm9Vf5lJeisiwEbFlcJNIg2W89XFoWIGRl3mbXz7PdWkdqorWiKm4j5Gb0Ezc9dgp6aLYOAGeX1GeJZHVNztoPj8VFpE8/WHM9+d7Yxikoz6u6KRfRiKcTMHNURh30Bn3VBX6LdZc5VLuVmFhDlybbOf8M5aIiXKFuShxy0T7cmTMeU0T4qElUK7c0DL/2G6pRk+kfgt5f8qbOHIwiCcFRx1ItmgGeTTuRmklnHXrLRI5oqSunDbwpjsIuoqNEexWEsGksINFU+WxU8UagMGypKaxV5QUdji0TIELYhi6XCaseAxpkzlIgOkGHbbhhxDlqubc2eEY64iEWdxKINRLPTEM3OKG5XxMxZ7TaqJHoJ4cdnRphLKDQj7UokK1G8m/748Jt9fFQSwss+Y1Gg1euch57P2UuwScGsz53HFObWOUmMz/4gottM9Bx/6iGoppFgTvz6+vDjx8exfMM3HAtoHEsF/2QKPZooIpqFVrHt649426GHJy4svBCXq/nggCAIQk+kS4hmgHs5gdV4Wc5GehtRUyWUQReiPvyGiHZaRLQTH5W4iBDDaYrEGA6L39dtCjQ9r3GoWQ+x7p1O2CQaFiWBhB2j3LAHqMIc6pymfM9NWzQSollxKII5QAZR475eQqYQtlbSUyJZvauXvlAx3Zwf6+dT5ydsJx6zHLfLETHv7TLOVXPaMJWcfX6jhC2rLtXDkZsIfhp7oXPQM6qonz+AjwM4SOUlpje6fo9DRLPQSh5+eyFhdxInhB3MOuu2zh6OIAjCUcdRUUa7tZzHAJYzFY1km2AGXUCrRYGgi2hVWNpNxGxXIs5lEcmgC2eHkbmhOcuAXubaYy6IKye3kffYmn85ZCR6U2ns9D76+SUU2oSyEn676W9b2BbCSzCov/wHfIRqvNT4Mwj5MwiV+8xXTWkONeU+qkpz2VeSz74Deew7kEfASDkH4CVk+n930998Bcgw50+NrYQ+pr1DRZxLKDQ/bxn5Zh5n/dpBUzCr+bfOjbXoSAiPbY6tlQ6t/ZTwty6E9FFpCv1Co4qhGqOORhEeEcyK+g58Cd2Gdzet4gOX/i3eZSf8VsplC0IbeOeddxg0aFCz+12NiooK8vLy2LVr1yGdf/HFF7Ns2bJG7d1hnrpMpFkxkCz+lyv4HcsJEzTLZ1uzQii7RoAM04qg2r0EqTFEokJVzbPaN6xWArAXF1HRTwdRYjiJ4GqQRi6RKcMahVV9rPmIrRYNaxtAMOIhVGMsAqzxQp3x41L5jxsKlxTjuNNJJFUXn/tqvLjSg3jSg3qaPZfDnC/lbVYvtVjSRyUBMthrWDaU6FfiWQlsgG8YQraqqEiAcnLwGoVV1OewxuEjuIxFfvYHk6gliqxX/HMZc5sQ0fnsM8dqTTMHukh3EGUWP2IywxEMpAiJ0Ar+tmkJcXcSY+q8nHvGVZ09HEHolkyaNIn33nsPgJSUFIYMGcLixYv5xS9+0ckjs7NkyRLOO++8Qxa0t99+O2eccQZXX301WVlZLZ/QhehSkWaFAwd/ZC5jGYKGXTBDIuqoIs8xHGZ0WUWTo0b2hkR02W0TaNbMDmohmsJJzIwiV5DTqAy2yxCMKguGXmhEF57K+GAVqw5itv1AUH9VlWcTKc8kUp4JfieUo5eB9tOEYDYHp1cqLDdefieR8kyqdhVQVZ5NSbDQXOjX0CZijTxnm1aHRJRZ9S+hj1lVUPXT5yFRNtzqPa4gxzaH9vLXTS8GdBiLOBVeM1oetP281ZhchLmfS0UwC0Ibef6tR9jirsOhaVx9+p2dPRxB6JZomsaWLVv44x//yN69e9mxYwdnnXUWl19+Od99911nD88kGAzyt7/9jauuOvSH5+HDhzNkyBCefPLJdhzZ0UGXizRb+SUX8B69+IjnSSIhnmM4yCBgFjtRItcaXQ7hxWOkXlMo8aw8t1YvsUIJZKs/N2axFVgX9qnjavGcNR+zgygV5Dbq76/2EfLbPdLUoVcktOSJpsqyHcX+k0y3vKtaHulh0n0Basp91ODD4wtAJsYiP7/FD1zJbvqbhU9cjaLMlWbffeQTMRZT6t5mPT2VkzKLtcJlblutIvqxhLBWBWBA//kpYa0efIJ4zZ+Vl6AlOq/hJpn/4nYEQWgb8ViMp75ZDm6YEMllwin/0dlDEgRAF5mhaKhT7u1xekhKat/FIF9//TWBQICzzjqLgoICAK666iruv/9+duzYweDBg9v1fofKK6+8gtvt5vTTT2907Nprr2Xbtm28//77jY7169ePefPmsWjRIgBmzJjBM888w9y5czt8zEeSLi2aAc5gMsdzHCv5PZAQzlZxFsWBl5BNIHsIEcNps2EkiqS4TAHntOQLhoQH2k2YchI5TJWIU0LQS9DMSGEV2m4iZp5jFWX24yMQNMS0saCPGuNHEwBUVcI6zEp71JP46t0qmh3oAjsVPSKdCqQBlW5qjMWDHl8AX6Zfj2iTQcBrF/OAacPYTX+jXb/ZXgpNoazEc8M8zmouPIbNwmXWMYyYDyKqf1Np82LGg47T8EmrbwrUuQkvuMaJZHMxCxEEoe38v3/+FzvccdxxjXnFjT2IgtBZhKIhxj41tlPuveEXG/CmNJ0M4FDZtGkT2dnZnHjiiQD88MMP3Hbbbbjdbk4++eR2vdfhsG7dOkaPHt2o/bPPPuOxxx5j3bp1TZ43bNgwPv30U3O/qKiIJUuWEA6Hcbu7TyaeLmnPaEg+hczjUTJIRcMumAHTYwsYy/kSC/OUTUMRtghmdVwtAvTjM+0aym5QQQ4V5BjmDxcuwmZb0ChDHcRjLqLTrRnpqPLZu4P9TcFcU+6jptynWzH86K8KEtvllleVOUC7YE4xjv9gvKtrVAA/OMHvJLQr27xnhjdg+r+VRcMaldfH7aGEPoTwmPme9YWAeaaXWX1m9VBhFcygPzDYF/+5GqUHVFjbldj2Yo84ZFDNJKaIYG4RWQkoNE1dOMjzZc8B8GNtEMOOafwfpSAI7cPmzZupqqoiIyMDj8dD//79WbNmDcuXL6ewUA+waZrGmWeeaZ7z8ssvc/zxxzN06FD+53/+p8X2gx2bOXMm2dnZ/OxnPzPbysvLufjii23n//vf/zbHY+W+++7jtNNOY/z48U1+vl69elFaWmruFxYWEolEbG2tYfXq1cyfP79N5xxJunyk2cqlPMJ6HqKUV0gCU2hZ06WplHKKGE4cRG0V9lS01VpMRLXHcJrC2Yo1gqwi06rynxWVVQPAH0wcq/Fn6GIZEiIZEpaMGhJRZtXWuDBiwo6Rit2eoW61S9+u+SYXcsPU+DNwFKrCJvrqeeVrzqHCtGMoD3cYt2Hn0PvuI8+cX30hYK65rRcjScdLyMxWog/fYbNjKJoq2KLmMuGX1sgmyHn8jVRLajqhOUIkDO/tfV2hK/PwqpvY7UoiMxbn+hkPdfZwBMGGx+lhwy82dNq925vNmzczd+5crrvuOvx+PzfddBMTJkzgiiuuMPts3LjRXHwXjUZZsGABb7/9NllZWYwePZqZM2eSlZXVZHtOTk6z5+Tk5HD99ddz5ZVX8sQTT5j3y83NZc+ePdTW1pKWppfvDYVCpKamWodONBrl+eefZ/HixWbbr3/9a4qKikzvcyAQwONJzJvaDgbtQcyW2Lp1KyNHjmzTOUeSbiWaASYwjzqu4G0uRyNEqkWsgX2BWcIiYJ8GJd5UZNRpLNQDGonlMC4zB7MqdOImTAmFNsEcxGN6fhXu1DCV+40+frcujAGL9TrhZ1bbSqvESIhna7TZCabu9JAQzX50Ee3DIqDd4IMSRx99/L09+JIT/ubd9CeIx8yeoaLMKuqsvNAqH7U1gl9Bji1LiNUjHcNh+zag4fyrPg3xUEt/ijmNGxsdE5ojit0M357XFboq/kA5L9e8C85kpqWMpG/vQZ09JEGwkZSU1O4Wic5k8+bNzJ49m2OPPRaAhx9+mJNPPpnZs2ebQvmll15ixowZAHz88cecdNJJ9O3bF4Czzz6bN954g4EDBzbZfskllzR7ziWXXMLkyZN55513Go3rJz/5CW+88QYzZ84EdCFdWVlp67Nz504CgQAjRowAIB6Ps3LlSqZOnWr22bp1KxdddJG5f+DAAQB69+7dpnnaunUroVCICRMmsHfvXl588UWGDz96Fvh3C3tGQ1JJ52yep5BpZg0GlSXDWr66KWGmrBhBPERxEMZNGHcjG4eyZlgXs3kIUWnEZsNGGjuV9zhky7DhpaS6kGCNF7cnQrwizS6UQRfKNejtlcbLj27LqCIhpJsSzKpPw3Nr0G0bu4xtHyTn6IbpeFUawRp9XMpKkkM52ZbsGSX0sWXMKCPflgljF4NMi4bylluzZigxbBXXDQWz3uawvYNGBlH+g2dFMLcZlZuwvV8imrsyD7wwj/3OZHpH41w/88HOHo4gdGu+/fZb/H6/TfydeOKJDBkyhKeeespse/PNNykuLgagpKTEFL8Affv2Zc+ePc22H+ycgzFjxgxeeuklc3/UqFF8/vnntj5+vx+A9HT9293XX3+dyspKMyL90UcfsWfPHlN4A2zfvp1+/fqRm2sPFrbE1q1bGTRoEOvXr+e6665j9erVbTq/o+mWollxCouYyOukkI4GNsEMiahzUy+FKjqixHHU2G+YDk2lklOp6yK4KaHQJiqDeCiJ9CEYMSr9lWYTKs3WF/s50IXtLuwRZ5VdLUzCnqEWBPqNvsq7bPU6p4Kp5zNIRJfVOca94rvSiFel4SnQnyx9mfonCeIxIs262M+hnAhu9hlFTZRNA+xZNPRb6A8OqgKhSrtnnbMaMsx0c9Y5b/gzclPHAKbyE94gtUGUX2gNXc/TfO655zJgwABSU1Pp06cPl112GSUlJS2fKLSKH/bt4vXoNgDOSZ9CVnqvTh6RIHRvNm3aREpKCscdd5ytferUqbzwwguAbm9wOp02i8ORYNSoUWzZssXcnzZtGp999pkt2jxw4ECSkpJ4+umn2bJlCzfddBPTp09n9erVbNmyhTlz5lBcXMzEiRPNc9atW2fzZ7eGUChELBbjmmuuAaC+vh6fz3d4H7Cd6daiGcBFBhN5gzymN4o6WyOaVjuG3uYk1EDoRXCbNgNoKJb1CLVqU5YFwIw226ri1XgT0WQVGVZBVz92wVxr7NdZ3gOWfjWW7f3GeylQZpxbCuw22n0kBHSOcd9dEPomm1CNl70lhaZ/OJcKM8qsxp4QynnGK9+Wyi+Gg3RTPGfb5k9VCQzhMaPOSiQ3zqahkYKDH/EaJ5LwUQltRXl62vtVR0cxZcoUnn32WXbs2MFzzz3Hzp07bYtXhMPjgZfmEnAkMyAC82ZKxgxB6Gg2b97M0KFDcbnsNQmKi4vZtGkTP/zwAxkZGYTDYSIR/ZvYwsJCW5R4z549FBYWNtt+sHMOxueff25m9AAYMWIEp556Ks8++6zZVlBQwJIlS3jyySc5++yzufHGG1myZAlr167lRz/6EcOGDbP1r6urY9WqVcyePbst08T27dsZM2aMub9t2zZOOumkNl2jo+l2nubmGMYdRLmOLfycKPuJN8rPbP9ltu57CZoL3JRFQ/mYlcjLIGCmZwsb9oQKcs2KgApV4Y8at113qIe6GvSfSiWJqHENCS9zCvZ0c1ZU9gxILAT0G/tR43oBEpFs9dNX357sckMu7D2g/yPz9tJvmkO5mT4vjItsS17ncnJsDx/KypJBjVmQRB1TtgxVstx6zLrvIEoeMxkquZfbga7nab7hhhvM7YEDB7Jo0SLOP/986uvrSUnpiEWNPYcvvt3E28n/BpL4acHPcLm6TyooQThaWbp0KUuXLm3UfsEFFxCPx8195Ts+88wzKSoqYvv27ezZs4esrCxeffVVFi9eTFZWVpPtQLPnHAyrj1pxxx13sHDhQmbPnk1ysh5bveWWW7jlllts/Zors/34449TVFTUZK7ng7F161bTNw26aLbuHw30GNEM4MTHabyBny18wW+IE2nkqQ1bbBiQyKCRKKwRMgUk6D7mEvrYzvUSYjf9bYI5EjeKdfgCVHzT1575oo5ELmYVNcayH2pmvznh7MFeDEUlmcgCskmI5h/QBbN6zwVXbjUAOb0q2BfXi7JkJOuR4xxj0MqeoTzPoEegdcuGrv6VhSVABvmU2YZozWZiFcx6dccRnMzjTXww4dDoKCuFfs3q6mpbq9vtbtecnAcOHODvf/8748ePF8HcDjz05o2E3UkcH07miv+Qh1JBOJqYMWMGK1as4Mwzz8TpdLJs2TKmTJlCPB7n5ptvJidH1xTNtR/snOLiYv71r39RW1tLv379WLlyJePGjeO1114zLSKK6dOn8/XXX7Nnzx769+/f5s+RkpLCgw+2fa3E1q1bzcWF0WgUv99vjv9ooUeJZoWPUYzjQw6wns+4qcmYme7F9diq0KmUcqpN2RiUsLZGm9ViuErDC5GeHODfJUbFnzp0IVuKXTz7aSyY9Rs29jND01ooBXvRE3WddONd6Q4fiQhzLqZVJFKXqY/fpwtlX7KfMqOiYQSXkYZOH6TyMgON0vgpf3MGATPjiMcwZ6iHC7dR1lwDkujN6bzRxAcSDo+OjTQ3/IN655138p//+Z+HffXf/e53PPTQQwSDQU4//XRefvnlw75mT+fDf73Kelc5kMSlQ68l2dF4IbQgCJ3HuHHjbDmKzz33XM4999xG/ZprP9ixN998s1FbeXk5TqezSd/w4eRKvvrqqw/pvAceeMDcdjqdR1V5cUW39zQfjF5M4Ed8yAncCiTyMauCJCrjhXUhm32RoF63zoff9DarPtZsGxXBXCqCuVDn0l/pWmPBXIduqXCS8DqHjD5tEczWPM3qPZ2EFfWHJl5KnBcY7yGo2FVIxa5C8zMkMmbkUWFYMpR4zqHc8vkTz2ENF0w2LEuuAXFcFLGGsSKYO4iOzZ6xe/duqqqqzFfDr+8UixYtIikp6aCvL7/80uy/cOFCtmzZwhtvvIHD4eDyyy9H07Qmr90Z/OUvf2HQoEGkpqYyduxYPv7444P2X7lyJSeccAKpqamMGDGCV1555QiNNMFfN/wnsaQkRta5mTllzhG/vyB0VwYNGmQTmQ33W4vD4WDjxo3tN7AWyM3NZc2aNUfsfu01T51JknY0/U/UyXzJ/ezgVWIkEyLNdsxqyQiQYeZgbvhe2WC/glwqDuhfL0T8GbDfqGevHAtKOPst22qhn7JsQELYhmgcST5YnmbACJBjrmH0oUeX6yz7GG35QG/9VyK9oIIcbzl7DxSS06uCHMrJNXI1R3GYQnoIO43Lq5WLmGW29QInGWQQMCPNemTZzRjuJpeRCO1PdXU1WVlZwMvQ4He5fagFzqGqqorMzMwWe+/fv5+KioqD9jnmmGMaLZQBvdxs//79+eCDDxg3btyhDrjdWLFiBZdffjnLly9n7Nix3H///axcuZIdO3aQl5fXqP8HH3zAGWecwdKlSznnnHN46qmnuOeee9i8eXOr84+qn2dr57shr7z///G7nfeRpGk8cNLvmXLaT9t8DUHoKOrq6vjuu+8YPHhwo8IagtBeHOz3rLV/Y0U0N8EXPMF2XiZCnAD65DUsbtJQLAN8xyBz27oI0H9A7xMpN34Q1iizH7tgVm3q3SqWQU8919DTrDzLNdgFs9uyrfqo4R7bYF9ZNaLGthF1duVWk9OrwridwyiWnfAy65fQtwexCysZZnFuXUy7CZGEkzP4A705GaHjSIjmVXScaD7/kEVcW/j+++8ZOHAgb7/9NpMnT+7Qe7WGsWPHctppp/HQQ3oVvXg8Tv/+/fntb3/LokWLGvW/6KKLqK2ttVlMTj/9dEaOHMny5ctbdc/DEc3xWIxf/G0Mn7mjjA9n8eg177fpfEHoaEQ0C0eC9hDNPdLT3BLDmMUwZlHOt/yTuyg31Ke1GqAPP7sMkayEs7ImNMyYEa136AVMQBfHVoEcJeFxVu2p6MK6NYIZS7/WCuY6dFuG2s417mcsBrQK5mi9g7KyPHLzK8yKgPvIJ4aTXMpNwaze/fjw4bdFnaMk4yaLs3iMdCQn7JFF2TM64rrtz4YNG/jkk0+YOHEi2dnZ7Ny5k8WLFzNkyJCjIsociUTYtGmTzYaSnJxMcXExH374YZPnfPjhhyxYsMDWNm3aNFatWtXsfcLhMOFwYsFswwWXbeHpNcv4zB0lRdO4dtLdh3wdQRCEno6I5oOQyzHM4n8A+D/uo5YK4iSb6eYU1kqBVsEcizsSZbITnXXxuh+wflttjTyDrnPc6AG9FJrOmtHQnqHeVV8PutBW/eqxFzpRIllt1wN7E/2jWfrnys2vIBZ3sI88cpJ18ZxrUf7WnNRKPMdJApLJ4zQu4DcInUXXSjnn9Xp5/vnnufPOO6mtraVPnz6cddZZ3H777e2aleNQKS8vJxaLkZ+fb2vPz8+3ebKtlJaWNtm/tLS02fssXbqU3//+94c/YGDd9y+BGyZFCxl5/MSWTxCETkK++BY6kvb4/RLR3EouYyEApZTyME+zm1RAM/M3K1Q09qv4cXbBrDRGLvAFdsGshHQ5idzKShgr33FLghnLu0o7B4kos1poGDXu40OPLqvrZBnvqkx8FOJlenQ81tuvf7bkxKCteauVz1kDIqSQRSZz+B1ZdOzX9kJr6NiUc+3NiBEjeOuttzrk2l2JW265xRadrq6uPqTUTwAPX/UOj754O2cVzWqn0QlC+6LSSQaDwSNeEU/oOQSDeu2Iw0lfKqK5jRRQwH+hF1/4Jx/zHN9ShpNKw3ZgjTRn9/bbhbMKLMVIiGRICFcfjctoK1KwZ9GAhG6pb9BP3SPVuEaqce2GNg3rvcss51ksGsn5+mrEyv0+U1Ar8eyjEg0IkUpvUrmBczkGe0RN6GxCQFIHXbfnkZubi8PhoKzMnnu8rKyMgoKCJs8pKChoU39o33zXyQ4H185sXFhBEI4WHA4HPp+Pffv2Afo3TklJHfF3S+iJaJpGMBhk3759+Hw+HIeRblNE82EwnSKmUwTAFspYxLf4ibE/rkdhG1kzmqKhLSOKLnKtuZXBmuWreawPT1YrqxLP1uh0Lo0XAap3NaYCPdpcif4AALpgjmoONJIYnDSQPzEcN53/tbnQHF3L03y043K5GD16NGvXruX8888H9IWAa9euZd68eU2eM27cONauXWtLrbRmzZqjwqMtCEcL6iFSCWdBaG98Pt9BgxWtQURzOzGKfF43oqz+pHp+HN5PwBElGnPoNgcVZS5vcGKu0daUBlGCOQBmEb2m+sXQLRn16MLZSWIhoFq7mN7gXd1T3d/6bok0A2ga1IedeJJgvnMQ1zrFdtF16Fqe5q7AggULmDVrFmPGjKGoqIj777+f2tpafvWrXwFw+eWX07dvX7Ns7vXXX8+kSZNYtmwZ06dP55lnnmHjxo089thjnfkxBOGoIikpiT59+pCXl0d9fcfYv4SeS0pKymFFmBUimjsAX1IKm1MLzQIjH2XFuCZFY8c+J/Vu0MIkxLM1m4a/wYXSLW1udOHspOkMGtbthn9vPMZ1fCQi2D4aR5hz0Y3J9UAA0lJgbj7cU5BGx6QtEzqeejrmn3nP/U/toosuYv/+/dxxxx2UlpYycuRIXnvtNXOx3/fff09ycqJu1Pjx43nqqae4/fbbufXWWxk6dCirVq1qdY5mQehJOByOdhE3gtARSJ7mTmLFdzB/DZTvh+h+IEJCIFs9zdZ0c9C0YFY0LGritmz7jHerr1llf8sAtxN+fjLcPwF62Qv3CV2QRJ7mJSTKQ7YndcBtRyRPs3D4xU0EQRCE5pE8zUc5Fw2Gi66xt0Wj8Np2ePJdePMjCMUgGEMP6iUD8RYuqjV4j6N/i56sa2W3B4YPhlOOgeumw5DDs/YIXQKxZwiCIAhCeyCi+SjC6YRzRuovru/kwQjdhHqgI77q7Ln2DEEQBKFnIqJZELo1tXRMVDjccheh3VAuusOpDCgIgiA0jfrb2pJjWUSzIHRDXC4XBQUFlJb+d4fdo6CgAJfL1WHXFxIEAnpZ+kMtcCIIgiC0TCAQMNYDNY0sBBSEbkpdXR2RSKTDru9yuUhN7YhFhkJD4vE4JSUlZGRkHFLRB1VRcPfu3bKQ0EDmpGlkXhojc9I03WleNE0jEAhQWFhoy37UEIk0C0I3JTU1VURtNyE5OZl+/fod9nUyMzO7/H9u7Y3MSdPIvDRG5qRpusu8HCzCrGheTguCIAiCIAiCAIhoFgRBEARBEIQWEdEsCILQzXG73dx555243e7OHspRg8xJ08i8NEbmpGl64rzIQkBBEARBEARBaAGJNAuCIAiCIAhCC4hoFgRBEARBEIQWENEsCIIgCIIgCC0golkQBEEQBEEQWkBEsyAIQjfmL3/5C4MGDSI1NZWxY8fy8ccfd/aQjhhLly7ltNNOIyMjg7y8PM4//3x27Nhh61NXV8fcuXPJyckhPT2dn/70p5SVlXXSiDuHu+++m6SkJObPn2+29dR52bNnD7/85S/JycnB4/EwYsQINm7caB7XNI077riDPn364PF4KC4u5uuvv+7EEXcssViMxYsXM3jwYDweD0OGDOEPf/gD1hwSPWlORDQLgiB0U1asWMGCBQu488472bx5M6eccgrTpk1j3759nT20I8K7777L3Llz+eijj1izZg319fWceeaZ1NbWmn1uuOEGXnrpJVauXMm7775LSUkJF1xwQSeO+sjyySef8Oijj3LyySfb2nvivFRWVjJhwgRSUlJ49dVX+fzzz1m2bBnZ2dlmn3vvvZc///nPLF++nA0bNpCWlsa0adOoq6vrxJF3HPfccw+PPPIIDz30EF988QX33HMP9957Lw8++KDZp0fNiSYIgiB0S4qKirS5c+ea+7FYTCssLNSWLl3aiaPqPPbt26cB2rvvvqtpmqb5/X4tJSVFW7lypdnniy++0ADtww8/7KxhHjECgYA2dOhQbc2aNdqkSZO066+/XtO0njsvv/vd77SJEyc2ezwej2sFBQXafffdZ7b5/X7N7XZrTz/99JEY4hFn+vTp2pVXXmlru+CCC7RLL71U07SeNycSaRYEQeiGRCIRNm3aRHFxsdmWnJxMcXExH374YSeOrPOoqqoCoFevXgBs2rSJ+vp62xydcMIJDBgwoEfM0dy5c5k+fbrt80PPnZcXX3yRMWPGcOGFF5KXl8eoUaP461//ah7/7rvvKC0ttc1LVlYWY8eO7bbzMn78eNauXctXX30FwL/+9S/ef/99zj77bKDnzYmzswcgCIIgtD/l5eXEYjHy8/Nt7fn5+Xz55ZedNKrOIx6PM3/+fCZMmMDw4cMBKC0txeVy4fP5bH3z8/MpLS3thFEeOZ555hk2b97MJ5980uhYT52Xb7/9lkceeYQFCxZw66238sknn3DdddfhcrmYNWuW+dmb+jfVXedl0aJFVFdXc8IJJ+BwOIjFYixZsoRLL70UoMfNiYhmQRAEodszd+5ctm/fzvvvv9/ZQ+l0du/ezfXXX8+aNWtITU3t7OEcNcTjccaMGcNdd90FwKhRo9i+fTvLly9n1qxZnTy6zuHZZ5/l73//O0899RQnnXQSn376KfPnz6ewsLBHzonYMwRBELohubm5OByORhkPysrKKCgo6KRRdQ7z5s3j5Zdf5u2336Zfv35me0FBAZFIBL/fb+vf3edo06ZN7Nu3j1NPPRWn04nT6eTdd9/lz3/+M06nk/z8/B45L3369OHEE0+0tQ0bNozvv/8ewPzsPenf1MKFC1m0aBEXX3wxI0aM4LLLLuOGG25g6dKlQM+bExHNgiDC+QJgAAAIuElEQVQI3RCXy8Xo0aNZu3at2RaPx1m7di3jxo3rxJEdOTRNY968ebzwwgu89dZbDB482HZ89OjRpKSk2OZox44dfP/99916jqZOncq2bdv49NNPzdeYMWO49NJLze2eOC8TJkxolJLwq6++YuDAgQAMHjyYgoIC27xUV1ezYcOGbjsvwWCQ5GS7VHQ4HMTjcaAHzklnr0QUBEEQOoZnnnlGc7vd2v/+7/9qn3/+uXbNNddoPp9PKy0t7eyhHRGuvfZaLSsrS3vnnXe0vXv3mq9gMGj2mTNnjjZgwADtrbfe0jZu3KiNGzdOGzduXCeOunOwZs/QtJ45Lx9//LHmdDq1JUuWaF9//bX297//XfN6vdqTTz5p9rn77rs1n8+nrV69Wtu6dat23nnnaYMHD9ZCoVAnjrzjmDVrlta3b1/t5Zdf1r777jvt+eef13Jzc7Wbb77Z7NOT5kREsyAIQjfmwQcf1AYMGKC5XC6tqKhI++ijjzp7SEcMoMnX448/bvYJhULab37zGy07O1vzer3azJkztb1793beoDuJhqK5p87LSy+9pA0fPlxzu93aCSecoD322GO24/F4XFu8eLGWn5+vud1uberUqdqOHTs6abQdT3V1tXb99ddrAwYM0FJTU7VjjjlGu+2227RwOGz26UlzkqRplrIugiAIgiAIgiA0QjzNgiAIgiAIgtACIpoFQRAEQRAEoQVENAuCIAiCIAhCC4hoFgRBEARBEIQWENEsCIIgCIIgCC0golkQBEEQBEEQWkBEsyAIgiAIgiC0gIhmQRAEQRAEQWgBEc2CIAiCIAiC0AIimgVBEAShhzF58mSSkpJISkri008/PWi/+fPnH7FxdSRXXHGF+ZlXrVrV2cMRuiAimgVBEAShBzJ79mz27t3L8OHDO3soR4QHHniAvXv3dvYwhC6Ms7MHIAiCIAjCkcfr9VJQUNDZwyASieByuTr8PllZWWRlZXX4fYTui0SaBUEQBKELcu211zJx4sQmj/Xr14+77767Tderra3l8ssvJz09nT59+rBs2bJGfeLxOEuXLmXw4MF4PB5OOeUU/vGPf5jHA4EAl156KWlpafTp04f//u//bmTxmDx5MvPmzWP+/Pnk5uYybdq0Vl27peMA//jHPxgxYgQej4ecnByKi4upra1t0zwIQnNIpFkQBEEQuhifffYZjz32GOvWrWvy+LBhww7qVW6KhQsX8u6777J69Wry8vK49dZb2bx5MyNHjjT7LF26lCeffJLly5czdOhQ3nvvPX75y1/Su3dvJk2axIIFC1i/fj0vvvgi+fn53HHHHY2uAfDEE09w7bXXsn79+lZfu6Xje/fu5ZJLLuHee+9l5syZBAIB1q1bh6ZpbZoHQWgOEc2CIAiC0MW47777OO200xg/fnyTx3v16kVpaWmrr1dTU8Pf/vY3nnzySaZOnQrowrZfv35mn3A4zF133cWbb77JuHHjADjmmGN4//33efTRRzn11FN54okneOqpp8xrPP744xQWFja639ChQ7n33ntbfe3TTz/9oMeVaI5Go1xwwQUMHDgQgBEjRrR6DgShJUQ0C4IgCEIXIhqN8vzzz7N48WKz7de//jVFRUVcddVVgG6T8Hg8rb7mzp07iUQijB071mzr1asXxx9/vLn/zTffEAwG+clPfmI7NxKJMGrUKL799lvq6+spKioyj2VlZdmuoRg9erRtv6Vrt3Qc4JRTTmHq1KmMGDGCadOmceaZZ/Kzn/2M7OzsVs+DIBwMEc2CIAiC0IXYuXMngUDAjKLG43FWrlxpRncBtm7dykUXXdSu962pqQHgn//8J3379rUdc7vdHDhwoNXXSktLa9O1S0pKDnocwOFwsGbNGj744APeeOMNHnzwQW677TY2bNjA4MGDWz02QWgOEc2CIAiC0IXw+/0ApKenA/D6669TWVlJamoqAB999BF79uxh5syZrb7mkCFDSElJYcOGDQwYMACAyspKvvrqKyZNmgTAiSeeiNvt5vvvvzfbrPh8PlJSUvjkk0/Ma1RVVfHVV19xxhlnHPT+rbn2wY4rkpKSmDBhAhMmTOCOO+5g4MCBvPDCCyxYsKDVcyEIzSGiWRAEQRC6EAMHDiQpKYmnn36atLQ0brrpJqZPn87q1avp378/c+bMobi4uNnMGk2Rnp7OVVddxcKFC8nJySEvL4/bbruN5OREkq2MjAxuuukmbrjhBuLxOBMnTqSqqor169eTmZnJrFmzmDVrFgsXLqRXr17k5eVx5513kpycTFJS0kHv35prt3R8w4YNrF27ljPPPJO8vDw2bNjA/v37GTZs2CHPtSBYEdEsCIIgCF2IgoIClixZwt13381zzz3HXXfdxejRoznvvPNYsWIFM2bM4OGHH27zde+77z5qamqYMWMGGRkZ3HjjjVRVVdn6/OEPf6B3794sXbqUb7/9Fp/Px6mnnsqtt94KwJ/+9CfmzJnDOeecQ2ZmJjfffDO7d+82o+AHo6Vrt3Q8MzOT9957j/vvv5/q6moGDhzIsmXLOPvss9s8F4LQFEma5GIRBEEQhB7F5MmTGTlyJPfff3+H3qe2tpa+ffuybNkyc5FiZ5OUlMQLL7zA+eef39lDEboYUtxEEARBEHogDz/8MOnp6Wzbtq3drrllyxaefvppdu7cyebNm7n00ksBOO+889rtHofKnDlzTB+4IBwKEmkWBEEQhB7Gnj17CIVCAAwYMKDdylhv2bKFq6++mh07duByuRg9ejR/+tOfjop8yfv27aO6uhqAPn36NMrgIQgtIaJZEARBEARBEFpA7BmCIAiCIAiC0AIimgVBEARBEAShBUQ0C4IgCIIgCEILiGgWBEEQBEEQhBYQ0SwIgiAIgiAILSCiWRAEQRAEQRBaQESzIAiCIAiCILSAiGZBEARBEARBaAERzYIgCIIgCILQAiKaBUEQBEEQBKEFRDQLgiAIgiAIQgv8/3Bk6AhBu53tAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.gridspec as gridspec\n", "from odftomo.analysis.harmonics_fitting import HarmonicFitter, MeanOrientationFinderGSH, compute_cluster_statistics, embedding_harmonics\n", "from odftomo import plot_tools\n", "from odftomo.texture import point_groups, grids, odfs\n", "from scipy.spatial.transform import Rotation as R\n", "from odftomo.spharm.spharm_tools import rotate_single_ell, map_single_l\n", "\n", "fig = plt.figure(figsize = (9,6))\n", "gs = gridspec.GridSpec(2, 4, figure=fig, width_ratios = [0.6,0.07, 0.09,1.0])\n", "########### cubic ##################\n", "h = embedding_harmonics['cubic'][0].coefficients\n", "ell = embedding_harmonics['cubic'][0].ell\n", "\n", "ax1 = fig.add_subplot(gs[0, 3])\n", "axis = np.array([1,0,0])\n", "angles = np.linspace(0, np.pi/4, 100)\n", "g = R.from_rotvec(axis[np.newaxis, :] * angles[:, np.newaxis])\n", "harmnorm = np.linalg.norm(h[np.newaxis, :] - rotate_single_ell(g, h, ell), axis = 1)\n", "ax1.plot(angles * 180/np.pi, harmnorm)\n", "axis = np.array([1,1,0])/np.sqrt(2)\n", "angles = np.linspace(0, np.pi/2, 100)\n", "g = R.from_rotvec(axis[np.newaxis, :] * angles[:, np.newaxis])\n", "harmnorm = np.linalg.norm(h[np.newaxis, :] - rotate_single_ell(g, h, ell), axis = 1)\n", "ax1.plot(angles * 180/np.pi, harmnorm)\n", "axis = np.array([1,1,1])/np.sqrt(3)\n", "angles = np.linspace(0, np.pi/3, 100)\n", "g = R.from_rotvec(axis[np.newaxis, :] * angles[:, np.newaxis])\n", "harmnorm = np.linalg.norm(h[np.newaxis, :] - rotate_single_ell(g, h, ell), axis = 1)\n", "ax1.plot(angles * 180/np.pi, harmnorm)\n", "plt.legend([r'$||R_{\\langle 100 \\rangle}(\\omega)||_h$', r'$||R_{\\langle 110 \\rangle}(\\omega)||_h$', r'$||R_{\\langle 111 \\rangle}(\\omega)||_h$'])\n", "plt.xlabel(r'$\\omega$ [degrees]')\n", "\n", "ax2 = fig.add_subplot(gs[0, 0], polar=True)\n", "map_theta = np.linspace(0, np.pi/2, 91)\n", "map_phi = np.linspace(0, np.pi*2, 361)\n", "map_intens = map_single_l(ell, h, map_theta, map_phi)\n", "img = ax2.pcolormesh(map_phi, np.tan(map_theta/2), map_intens, edgecolors = 'face', rasterized = True, cmap = 'jet', vmin = -2.5, vmax = 2.5)\n", "cax = fig.add_subplot(gs[0, 1])\n", "fig.colorbar(img, cax=cax, label = 'Intensity')\n", "plot_tools.polefigure.plot_cubic_asym_outline(ax2)\n", "ax2.axis('off')\n", "\n", "########### hexagonal ##################\n", "h = embedding_harmonics['hexagonal'][0].coefficients\n", "ell = embedding_harmonics['hexagonal'][0].ell\n", "\n", "ax1 = fig.add_subplot(gs[1, 3])\n", "axis = np.array([1,0,0])\n", "angles = np.linspace(0, np.pi/2, 100)\n", "g = R.from_rotvec(axis[np.newaxis, :] * angles[:, np.newaxis])\n", "harmnorm = np.linalg.norm(h[np.newaxis, :] - rotate_single_ell(g, h, ell), axis = 1)\n", "ax1.plot(angles * 180/np.pi, harmnorm)\n", "axis = np.array([np.cos(np.pi/3),np.sin(np.pi/3),0])\n", "angles = np.linspace(0, np.pi/2, 100)\n", "g = R.from_rotvec(axis[np.newaxis, :] * angles[:, np.newaxis])\n", "harmnorm = np.linalg.norm(h[np.newaxis, :] - rotate_single_ell(g, h, ell), axis = 1)\n", "ax1.plot(angles * 180/np.pi, harmnorm)\n", "axis = np.array([0,0,1])\n", "angles = np.linspace(0, np.pi/6, 100)\n", "g = R.from_rotvec(axis[np.newaxis, :] * angles[:, np.newaxis])\n", "harmnorm = np.linalg.norm(h[np.newaxis, :] - rotate_single_ell(g, h, ell), axis = 1)\n", "ax1.plot(angles * 180/np.pi, harmnorm)\n", "plt.legend([r'$||R_{\\langle 10-10 \\rangle}(\\omega)||_h$', r'$||R_{\\langle 11-20 \\rangle}(\\omega)||_h$', r'$||R_{\\langle 0001 \\rangle}(\\omega)||_h$'])\n", "plt.xlabel(r'$\\omega$ [degrees]')\n", "\n", "ax2 = fig.add_subplot(gs[1, 0], polar=True)\n", "map_theta = np.linspace(0, np.pi/2, 91)\n", "map_phi = np.linspace(0, np.pi*2, 361)\n", "map_intens = map_single_l(ell, h, map_theta, map_phi)\n", "img = ax2.pcolormesh(map_phi, np.tan(map_theta/2), map_intens, edgecolors = 'face', rasterized = True, cmap = 'jet', vmin = -3.5, vmax = 3.5)\n", "cax = fig.add_subplot(gs[1, 1])\n", "fig.colorbar(img, cax=cax, label = 'Intensity')\n", "ax2.axis('off')\n", "ax2.plot(np.linspace(0, np.pi/6, 51),[np.tan(np.pi/4)]*51, 'k')\n", "ax2.plot([0, 0],[0, np.tan(np.pi/4)], 'k')\n", "ax2.plot([np.pi/6, np.pi/6],[np.tan(np.pi/4), 0], 'k')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d78f2a20-1bbb-4990-9c04-179f39bf3648", "metadata": {}, "source": [ "The other problem we need to solve is the projection of an arbitrary point in the embedding space onto the manifold. This is done by solving a minimization problem:\n", "\n", "$$\n", "P\\left(\\mathbf{h}_{\\mathrm{mean}}\\right) = \\mathrm{argmin}_g||\\mathbf{h(g)} - \\mathbf{h}_{\\mathrm{mean}}||_2\n", "$$\n", "\n", "This minimization problem is solved by a simple gradient-descent approach where the gradient is found by rotating the generators using the Wigner matrices. For hexagonal symmetry, the minimization problem often displays local minima, so for hexagonal we start with a coarse grid-search before doing the gradient-descent refinement. \n", "\n", "Same as for the torus, we can also back-project the covariance matrix in embedding space into (the tangent space of) orientation space. We always use the left-handed tangent space. (That means the diagonal elements refer to rotations about the sample co-ordinate system, not the lattice coordinate system.)\n", "\n", "The figure below illustrates how to call the function:" ] }, { "cell_type": "code", "execution_count": 13, "id": "308b7356-94f8-40ac-bd39-b02ef33926a2", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/madsac/miniconda3/envs/odftt/lib/python3.13/site-packages/odftomo/analysis/harmonics_fitting.py:70: UserWarning: Gimbal lock detected. Setting third angle to zero since it is not possible to uniquely determine all angles.\n", " gradient, resnorm = self.gradient(g_x, h_x)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Draw a dataset\n", "random_orientations = grids.random_quarternions(2)\n", "random_direction = random_orientations[1].apply([1, 0, 0])\n", "g_cluster = draw_rotations(100, random_orientations[0], 10 , random_direction)\n", "\n", "# Call the function\n", "mean_orientation, cov_gspace = compute_cluster_statistics(g_cluster, 'cubic')\n", "\n", "# Build the plot\n", "plt.figure(figsize = (8,8))\n", "ax = plt.subplot(1,1,1, projection = '3d' )\n", "ax.plot(*mean_orientation.as_rotvec(), 'kx', markeredgewidth=5, markersize = 10)\n", "\n", "ellipsoid_vecs = make_ellipsoid(mean_orientation.as_rotvec(), cov_gspace, 2)\n", "ax.plot_wireframe(ellipsoid_vecs[0], ellipsoid_vecs[1], ellipsoid_vecs[2],\n", " rstride=10, cstride=10, alpha=1.0, zorder=1, linewidth=0.5, color='C1')\n", "\n", "rotvecs = cast_rots_tofundamental(g_cluster, point_groups.cubic).as_rotvec()\n", "ax.scatter(rotvecs[:,0],rotvecs[:,1],rotvecs[:,2], s = 2, color='C1')\n", "plot_tools.plot_asym_zone_outline(ax, 'cubic')\n", "ax.axis('scaled')\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "073e95c0-455e-4009-bf15-06e886085fec", "metadata": {}, "source": [ "To test the method, we compare it to a method based on quaternion-statistics adapted from [Pantleon 2005](https://doi.org/10.1179/174328405X71657) by drawing from an oblate Bingham distribution and fitting both the mean orientation and the preferred misorientation axis and see how large of an error the two methods make on average." ] }, { "cell_type": "code", "execution_count": 14, "id": "41bf3b5d-6980-45b7-965d-09e06ca0dccf", "metadata": {}, "outputs": [], "source": [ "from tqdm import tqdm\n", "\n", "def cluster_of_rotations(N, g_mean, sigma_deg, prolate_direction=np.array([0,0,1])):\n", " sigma_rad = sigma_deg*np.pi/180\n", " random_quat = np.random.multivariate_normal(np.array([0, 0, 0, 1]),\n", " np.diag(((sigma_rad/3)**2/np.pi, (sigma_rad/3)**2/np.pi, sigma_rad**2/np.pi, 0)),\n", " size=(N))\n", " \n", " random_quat = random_quat / np.linalg.norm(random_quat, axis = 1)[:, np.newaxis]\n", " random_ori = R.from_quat(random_quat)\n", " R1 = R.from_euler('yz', [np.arccos(prolate_direction[2]), np.arctan2(prolate_direction[1], prolate_direction[0])])\n", " ori = R1 * random_ori * R1.inv() *g_mean\n", " return ori\n", "\n", "def do_one_sample(sigma, N):\n", "\n", " # Draw sample\n", " g2 = grids.random_quarternions(2)\n", " mean_ori = g2[0]\n", " anis_dir = g2[1].apply( np.array([0,0,1]))\n", " g_data = cluster_of_rotations(N, mean_ori, sigma, anis_dir)\n", "\n", " # Harmonics based analysis\n", " g_mean_formharm, c_fromharm = compute_cluster_statistics(g_data, 'cubic')\n", " eigval, eigvec = np.linalg.eig(c_fromharm)\n", " main_eig_indx = np.argmax(np.abs(eigval))\n", " anis_dir_fromharm = eigvec[:, main_eig_indx]\n", " error_g_harm = np.min([(g_mean_formharm * s * g_data.inv()).magnitude() for s in point_groups.cubic])\n", " error_dir_harm = np.arccos(np.abs(np.dot(anis_dir_fromharm, anis_dir)))\n", "\n", " # Quaternion based analysis\n", " g_data_niceframe = mean_ori.inv() * g_data # Cheat and use the ground-truth for resolving the symmetry identification\n", " quats = g_data_niceframe.as_quat()\n", " mean_quat = np.mean(quats, axis = 0)\n", " mean_quat = mean_quat / np.linalg.norm(mean_quat)\n", " g_quat = R.from_quat(mean_quat)\n", " R_quat = g_quat.as_matrix()\n", " error_g_quat = g_quat.magnitude()\n", " C_quat = quats.T @ quats / N\n", " eigval, eigvec = np.linalg.eig(C_quat)\n", " anis_dir_fromquat = mean_ori.apply(eigvec[:-1,1])\n", " error_dir_quat = np.arccos(np.abs(np.dot(anis_dir_fromquat, anis_dir)))\n", " \n", " return error_g_harm, error_dir_harm, error_g_quat, error_dir_quat\n" ] }, { "cell_type": "code", "execution_count": 15, "id": "02328aa6-695d-44cb-b599-c3235d7da4b0", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " 0%| | 0/100 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# PLot the results\n", "ax = plt.subplot(2,2,1)\n", "ax.hist(np.array(ghe_list)*180/np.pi, range = (0, 2), color = [0.5, 0.5, 0.5])\n", "\n", "ylims = [0, 45]\n", "tt = [0, 0.5, 1, 1.5, 2]\n", "ax.set_xticks(tt)\n", "ax.set_xticklabels([f'{t}°' for t in tt])\n", "ax.set_ylim(ylims)\n", "plt.title('Centroid ori. error', fontsize=15)\n", "plt.ylabel('Harmonics\\nembedding', fontsize=15)\n", "plt.plot([np.mean(ghe_list)*180/np.pi]*2, ylims, 'k--')\n", "\n", "ax = plt.subplot(2,2,2)\n", "ax.hist(np.array(dhe_list)*180/np.pi, range = (0, 10), color = [0.5, 0.5, 0.5])\n", "tt = [0, 2, 4, 6, 8, 10]\n", "ax.set_xticks(tt)\n", "ax.set_xticklabels([f'{t}°' for t in tt])\n", "ax.set_ylim(ylims)\n", "plt.plot([np.mean(dhe_list)*180/np.pi]*2, ylims, 'k--')\n", "plt.title('Pref. misori. axis error', fontsize=15)\n", "\n", "ax = plt.subplot(2,2,3)\n", "ax.hist(np.array(gqe_list)*180/np.pi, range = (0, 2), color = [0.5, 0.5, 0.5])\n", "tt = [0, 0.5, 1, 1.5, 2]\n", "ax.set_xticks(tt)\n", "ax.set_xticklabels([f'{t}°' for t in tt])\n", "ax.set_ylim(ylims)\n", "plt.plot([np.mean(gqe_list)*180/np.pi]*2, ylims, 'k--')\n", "plt.ylabel('Quaternions', fontsize=15)\n", "\n", "ax = plt.subplot(2,2,4)\n", "ax.hist(np.array(dqe_list)*180/np.pi, range = (0, 10), color = [0.5, 0.5, 0.5])\n", "plt.plot([np.mean(dqe_list)*180/np.pi]*2, ylims, 'k--')\n", "tt = [0, 2, 4, 6, 8, 10]\n", "ax.set_xticks(tt)\n", "ax.set_xticklabels([f'{t}°' for t in tt])\n", "ax.set_ylim(ylims)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "7b272d59-2c1c-4ed1-8c92-7e729f5c1dda", "metadata": {}, "source": [ "We see that the harmonics embedding approach does worse than the quaternions but not much worse. My theory is that the gradient-descent algoirithm does not work very well.\n", "\n", "Another convenient use of the harmonics based function is that we can find the mean orientation of GSH reconstruction without needing to evaluate on a grid basis. I'm at the moment unaware of any other solution to that problem.\n", "\n", "We simply replace the mean embedded harmonics with the embedding harmonics convolved with the ODF, which is a simple matrix product in GSH basis. We then proceed to solve the same low-dimensional optimization problem as before.\n", "\n", "This is implemented in `odftomo.analysis.harmonics_fittingMeanOrientationFinderGSH` and we demonstrate with simulated data:" ] }, { "cell_type": "code", "execution_count": 17, "id": "c1f79941-6a1b-4a1d-b4fe-63aa7980c159", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_47031/113671976.py:25: UserWarning: Gimbal lock detected. Setting third angle to zero since it is not possible to uniquely determine all angles.\n", " GSH_data = RBF_to_GSH(np.ones(len(g_cluster)), odf_mock, ell_max)\n" ] } ], "source": [ "# Make simulated GSH data\n", "from odftomo.spharm.RBF_mapper import kernel_function_to_kernel_coeff, RBF_to_GSH\n", "from odftomo.analysis.harmonics_fitting import MeanOrientationFinderGSH\n", "from odftomo.spharm.symmetrized_harmonics_coefficients import make_symmetrized_harmonics\n", "from types import SimpleNamespace\n", "\n", "# Draw some random orientation\n", "random_orientations = grids.random_quarternions(2)\n", "random_direction = random_orientations[1].apply([1, 0, 0])\n", "g_cluster = draw_rotations(10, random_orientations[0], 20 , random_direction)\n", "\n", "# Transform into full GSH-basis\n", "def kernel_function(angles):\n", " return np.exp(-angles**2/2/0.3**2)\n", "\n", "ell_max = 32\n", "\n", "# Make a mock ODF object\n", "odf_mock = SimpleNamespace(\n", " grid=g_cluster,\n", " pf_kernel=kernel_function,\n", " point_group=point_groups.cubic,\n", ")\n", "\n", "GSH_data = RBF_to_GSH(np.ones(len(g_cluster)), odf_mock, ell_max)\n", "\n", "# Reduce to symmetrized-harmonics basis (the output format of TT reconstructions)\n", "cube_harmonics = make_symmetrized_harmonics(ell_max, 'cubic')\n", "odf_GSH = odfs.Harmonics(ell_max, cube_harmonics, point_groups.cubic)\n", "\n", "sym_coeffs = np.zeros(odf_GSH.n_modes)\n", "for mode_index in range(odf_GSH.n_modes):\n", " ell = odf_GSH.mode_coefficients[mode_index].ell\n", " sym_coeffs[mode_index] = np.sum(odf_GSH.mode_coefficients[mode_index].coefficients * GSH_data[ell])\n" ] }, { "cell_type": "code", "execution_count": 18, "id": "546d723d-220d-4106-ae3c-a62ad0cc19a0", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/madsac/miniconda3/envs/odftt/lib/python3.13/site-packages/odftomo/analysis/harmonics_fitting.py:70: UserWarning: Gimbal lock detected. Setting third angle to zero since it is not possible to uniquely determine all angles.\n", " gradient, resnorm = self.gradient(g_x, h_x)\n" ] } ], "source": [ "# Do the orientation fitting\n", "h = embedding_harmonics['cubic'][0].coefficients\n", "ell = embedding_harmonics['cubic'][0].ell\n", "ori_finder = MeanOrientationFinderGSH(odf_GSH, h, ell)\n", "main_ori= ori_finder.find(sym_coeffs)\n" ] }, { "cell_type": "code", "execution_count": 19, "id": "9c1ce7f1-de25-4608-a95b-bd7082f4644c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the results\n", "ax2 = plt.subplot(1,2,1,polar=True)\n", "polefigure, map_theta, map_phi = odf_GSH.make_polefigure_map(sym_coeffs, np.array([1,0,0])/np.sqrt(1))\n", "img = ax2.pcolormesh(map_phi, np.tan(map_theta/2), polefigure, edgecolors = 'face', rasterized = True, cmap = 'jet')\n", "plt.title('(100)')\n", "for pole in [np.array([1, 0, 0]),\n", " np.array([0, 1, 0]),\n", " np.array([0, 0, 1]),]:\n", " v = main_ori.apply(pole)\n", " if v[2] <= 0.0:\n", " v = -v\n", " plt.plot(np.arctan2(v[1], v[0]), np.tan(np.arccos(v[2])/2), 'kx', markeredgewidth = 10)\n", "\n", "ax2 = plt.subplot(1,2,2,polar=True)\n", "polefigure, map_theta, map_phi = odf_GSH.make_polefigure_map(sym_coeffs, np.array([1,1,1])/np.sqrt(3))\n", "img = ax2.pcolormesh(map_phi, np.tan(map_theta/2), polefigure, edgecolors = 'face', rasterized = True, cmap = 'jet')\n", "plt.title('(111)')\n", "for pole in [np.array([1, 1, 1])/np.sqrt(3),\n", " np.array([-1, 1, 1])/np.sqrt(3),\n", " np.array([1, -1, 1])/np.sqrt(3),\n", " np.array([1, 1, -1])/np.sqrt(3)]:\n", " v = main_ori.apply(pole)\n", " if v[2] <= 0.0:\n", " v = -v\n", " plt.plot(np.arctan2(v[1], v[0]), np.tan(np.arccos(v[2])/2), 'kx', markeredgewidth = 10)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "f2446759", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "odftt", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.13" } }, "nbformat": 4, "nbformat_minor": 5 }