diff --git a/DTM_filtrations.py b/DTM_filtrations.py deleted file mode 100644 index 837a4f0..0000000 --- a/DTM_filtrations.py +++ /dev/null @@ -1,281 +0,0 @@ -import numpy as np -import math -import random -import gudhi -from sklearn.neighbors import KDTree -from sklearn.metrics.pairwise import euclidean_distances -import matplotlib.pyplot as plt -from mpl_toolkits.mplot3d import Axes3D - - -def DTM(X,query_pts,m): - ''' - Compute the values of the DTM (with exponent p=2) of the empirical measure of a point cloud X - Require sklearn.neighbors.KDTree to search nearest neighbors - - Input: - X: a nxd numpy array representing n points in R^d - query_pts: a kxd numpy array of query points - m: parameter of the DTM in [0,1) - - Output: - DTM_result: a kx1 numpy array contaning the DTM of the - query points - - Example: - X = np.array([[-1, -1], [-2, -1], [-3, -2], [1, 1], [2, 1], [3, 2]]) - Q = np.array([[0,0],[5,5]]) - DTM_values = DTM(X, Q, 0.3) - ''' - N_tot = X.shape[0] - k = math.floor(m*N_tot)+1 # number of neighbors - - kdt = KDTree(X, leaf_size=30, metric='euclidean') - NN_Dist, NN = kdt.query(query_pts, k, return_distance=True) - - DTM_result = np.sqrt(np.sum(NN_Dist*NN_Dist,axis=1) / k) - - return(DTM_result) - - -def WeightedRipsFiltrationValue(p, fx, fy, d, n = 10): - ''' - Computes the filtration value of the edge [x,y] in the weighted Rips filtration. - If p is not 1, 2 or 'np.inf, an implicit equation is solved. - The equation to solve is G(I) = d, where G(I) = (I**p-fx**p)**(1/p)+(I**p-fy**p)**(1/p). - We use a dichotomic method. - - Input: - p (float): parameter of the weighted Rips filtration, in [1, +inf) or np.inf - fx (float): filtration value of the point x - fy (float): filtration value of the point y - d (float): distance between the points x and y - n (int, optional): number of iterations of the dichotomic method - - Output: - val (float): filtration value of the edge [x,y], i.e. solution of G(I) = d. - - Example: - WeightedRipsFiltrationValue(2.4, 2, 3, 5, 10) - ''' - if p==np.inf: - value = max([fx,fy,d/2]) - else: - fmax = max([fx,fy]) - if d < (abs(fx**p-fy**p))**(1/p): - value = fmax - elif p==1: - value = (fx+fy+d)/2 - elif p==2: - value = np.sqrt( ( (fx+fy)**2 +d**2 )*( (fx-fy)**2 +d**2 ) )/(2*d) - else: - Imin = fmax; Imax = (d**p+fmax**p)**(1/p) - for i in range(n): - I = (Imin+Imax)/2 - g = (I**p-fx**p)**(1/p)+(I**p-fy**p)**(1/p) - if g" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -131,7 +129,7 @@ "' Sampling on the circle with outlier '\n", "N_obs = 150 # number of points sampled on the circle\n", "N_out = 50 # number of outliers \n", - "X = SampleOnCircle(N_obs, N_out, is_plot=True) # sample points with outliers " + "X = utils_dtm.SampleOnCircle(N_obs, N_out, is_plot=True) # sample points with outliers " ] }, { @@ -148,35 +146,23 @@ "outputs": [ { "data": { + "image/png": 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IiIj81t/+9jdkZmaira0NTz/9NK677rphrY8dIyIiIvI79fX1yMzMxE033YRzzz0XZWVlww5FADtGRERE5Gc++ugjpKWloaamBv/3f/+HX/7yl5DJZCOybnaMiIiIyC+0tLTg3nvvxdVXX43x48ejtLQUCxYsGLFQBLBjRDQsNrsDB042obXdDnVYMCZFh47oDygREXXYuXMnUlNTIQgC7rvvPqSmpkIuH/n+DoMR0RCIogjT/lqUf3UMh2ubYbOLCAlS4JyJEbhRdzrOiAmXukQiooDQ3t6OJ554Ak8++STOOeccFBcXIzY21mPb87lgJAgCSktLodVqIQgCDAYD1Gp1v8sajUZoNBoIgoCkpCRotdpB1+PONoj68rlQg7c+3Y82mwPjIkIQrJSj2WqD6UAtjta1YMXcs3G6JkzqMomI/Nr//vc/pKSk4IsvvkBWVhYMBgOCgoI8uk2fC0bJycmorKwE0BFgsrKyUFJS0ueypaWlyMnJcd7Ozs5GYWHhoOtxZxtEPbW22fGP3Udht4vdOkMRoUEID1Fi34lG/POb40i7SithlURE/svhcOA3v/kN8vLycPrpp2PLli248MILvbJtnxp8LQhCt9tarRZGo7Hf5bdu3er2etzdBlFP3x+vx/G6VoyLDOn1mFwmg2aMCl8dsqCuuU2C6oiI/Nv+/ftx9dVXY82aNUhOTsbWrVu9FooAHwtGnYfFutJoNDCZTH0ur9FoEBcX5zyklpiYOOh63NmG1WpFfX19t39ETa02iKKIYGXfPz4hQXK02Rxostq8XBkRkf8SRRGvvPIKLr74YuzZswcvv/wycnNzERLS+49QT/KpYGSxWPq832w293l/5+Gv2NhYlJSUICkpadD1uLON/Px8REVFOf9NmTJl4BdAo0J4iBJymQxttr4vStjSbkewUo5wlc8dqSYi8knHjx/HTTfdhMzMTMybNw9lZWW49NJLJanFL35z9xdmjEYjCgoKIAgCsrOzAcA5xsid9fT3WF5eHtasWeO8XV9fz3BEOOe0SEyICsGJ+lZM7jHA2iGKqG1sw+zzJiAqLFiiComI/EdpaSlWrFgBAPjtb3+Lq6++WtJ6fKpjpFare3VuzGZzn2eMCYKAiooK6PV6GAwGVFVVobi4GIIgDLged7ahUqkQGRnZ7R9RSJACN1xyOpQKOQ7WNKGlzQa7Q0R9Szv2VTfhtOhQzLtgotRlEhH5tNraWixZsgTJycmYMWMGysrKJA9FgI8FI71e3+f98fHxve4zmUxISEhw3tZqtcjLy4PFYhlwPe5sg6g/l8bGIP2qaZg6NhzmpjYcNjejpc2OuGkaGOaejUnRoVKXSETks95//31ceOGFePvtt7FhwwY888wzvcb/SsWnDqV1zkHUSRAExMfHO7s5JpMJarUaWq0WOp0OhYWFznFFAFBTUwOdTtdrvV3X07Mz1HMbRK6acaYGF01R41BNM1pOzXx9mjqEM18TEfWjqakJ999/P1588UXMmjULjz32GCZO9K0Ou0wURVHqIroSBAGFhYVISEhARUUF8vLynKElOTkZCQkJzrmLjEajMywBHR2nrhM89reegR4bSH19PaKiolBXV8fDakRERG749NNPkZaWhiNHjuC+++7DokWLvPaHZGNjI2bNmuXS97fPBSNfxmBERETkHqvVikcffRRPP/00LrroIjz55JOYOnWqV2twJxj51KE0IiIiChxffPEFUlNT8d1332HVqlVYunQpFAqF1GUNyKcGXxMREZH/s9ls2LBhAxISEmC1WvHWW29h+fLlPh+KAHaMiIiIaATt2bMHaWlp+Pzzz7F06VKsXLkSwcH+M68bgxERERENmyiKeOGFF7B27VrExMTgtddewyWXXCJ1WW5jMCIiIqJhOXz4MJYuXQqj0YhFixZhzZo1CAsLG/yJPojBiIiIiIZEFEW88cYbuOuuu6BSqfDiiy/iiiuukLqsYeHgayIiInJbdXU1kpKSkJqaiiuvvBJlZWV+H4oAdoyIiIjITX/961+RlZWFtrY2/OpXv8I111wjdUkjhh0jIiIickl9fT2WLl2KW265Beeddx62b98eUKEIYMeIiIiIXPDBBx8gIyMDNTU1eOyxxzB//vyAvDYkO0ZERETUr5aWFtxzzz2YO3cuxo8fj23btuHWW28NyFAEsGNERERE/aioqEBqair27duHtWvXIiUlBXJ5YPdUAvvVERERkdva29vxyCOPYNasWVAoFCguLkZaWlrAhyKAHSMiIiLq4ttvv0VKSgq+/PJLZGdnY/ny5QgKCpK6LK8J/OhHREREg7Lb7fjVr34FnU6Huro6vPHGG7jjjjtGVSgC2DEiIiIa9fbt24f09HR8/PHHSElJwerVqxESEiJ1WZJgMCIiIhqlRFHEyy+/jHvvvReRkZF4+eWXkZCQIHVZkuKhNCIiolHo2LFj+MUvfoGsrCxcc8012LZt26gPRQA7RkRERKNOSUkJVqxYAblcjt/97neYM2eO1CX5DHaMiIiIRgmz2YzFixdj4cKFiIuLQ1lZGUNRD+wYERERjQLvvfceli5diqamJjz11FO44YYbAnb26uFgx4iIiCiANTY2YsWKFbjuuuswbdo0lJWV4cYbb2Qo6gc7RkRERAHqk08+QWpqKo4fP46HHnoICxcuZCAaBDtGREREAcZqtSInJwdXXXUVoqKiUFpaikWLFjEUuYAdIyIiogCye/dupKSk4IcffsDdd9+NjIwMKBQKqcvyG+wYERERBQCbzYYnn3wSl156Kdrb2/HWW28hMzOTochN7BgRERH5uR9++AFpaWmoqKhAZmbmqLzG2UhhMCIiIvJTDocDzz//PHJycjBu3Di89tpruOSSS6Quy68xGBEREfmhQ4cOYenSpfjnP/+J2267Dffeey/CwsKkLsvvMRgRERH5EVEUsWXLFqxatQohISEoLCzE5ZdfLnVZAYODr4mIiPxEdXU1fvnLXyItLQ1XXXUVtm3bxlA0wtgxIiIi8gN/+ctfkJWVhfb2djzzzDNITEyUuqSAxI4RERGRD6urq0NGRgbmz5+PCy64ANu3b2co8iB2jIiIiHzUjh07kJGRAbPZjMcffxy33HILZ6/2MHaMiIiIfExzczNWr16NefPmYeLEiSgrK8P8+fMZiryAHSMiIiIf8vnnnyM1NRUHDhxAbm4ubr/9dsjl7GN4C99pIiIiH9DW1oaHH34Yl19+OYKCglBcXIyUlBSGIi9jx4iIiEhi33zzDVJSUvD1118jOzsby5cv5yU9JMIYSkREJBG73Y5NmzYhLi4ODQ0N2LJlC69zJjF2jIiIiCQgCALS09PxySefIC0tDatWrYJKpZK6rFGPwYiIiMiLRFHE5s2bsWbNGqjVarzyyiuIj4+Xuiw6hcGIiIjIS44dO4Zly5bh3XffxYIFC7B27VqEh4dLXRZ1wWBERETkBVu3bsXKlSuhUCjw3HPPYfbs2VKXRH3g4GsiIiIPMpvNuO2223DbbbchPj4eZWVlDEU+jB0jIiIiD/nHP/6BZcuWoaWlBQUFBbj++us5e7WPY8eIiIhohDU2NsJgMOCGG25AbGwstm3bhhtuuIGhyA+wY0RERDSCPv74Y6SlpeHHH3/Eww8/jOTkZAYiP8KOERER0QhobW3F2rVrMXv2bKjVapSWlmLhwoUMRX6GHSMiIqJh2rVrF1JSUrB3717cc889SE9Ph0KhkLosGgJ2jIiIiIbIZrPh8ccfx6WXXgq73Y633noLy5YtYyjyY+wYERERDcH333+P1NRUVFZWIjMzk9c4CxDsGBEREbnB4XDgd7/7HWbMmIETJ07g9ddfx+rVqxmKAgQ7RkRERC46ePAgMjIy8MEHH2Dx4sW49957ERoaKnVZNIIYjIiIiAYhiqKzMxQWFoaioiLMmjVL6rLIA3gojYiIaAAnTpzArbfeioyMDMyZMwfbtm1jKApg7BgRERH1Y/v27TAYDLDb7Xj22Wcxb948qUsiD2PHiIiIqAeLxYK0tDT88pe/xEUXXYSysjKGolGCHSMiIqIujEYjMjIyUFdXhyeeeAI333wzZ68eRdgxIiIiAtDc3IxVq1YhMTERkydPRllZGW655RaGolGGHSMiIhr1/vvf/yI1NRUHDx7EunXrsHjxYsjl7B2MRtzrREQ0arW1teHBBx/E5ZdfDpVKheLiYixZsoShaBRjx4iIiEalr7/+GikpKfjmm2+wcuVKZGZmQqnk1+Jox0hMRESjit1ux8aNGxEXF4empia88cYbyM7OZigiAD7YMRIEAaWlpdBqtRAEAQaDAWq1ut/ljUYjBEGAVqsFAOj1+kHX4+42iIgoMFRVVSE9PR2ffvop0tPTcdddd0GlUkldFvkQnwtGycnJqKysBNARYLKyslBSUtLnskajESUlJSgsLIQgCEhMTERVVdWg63FnG0RE5P9EUURRURHuu+8+REdH49VXX0VcXJzUZZEP8qlgJAhCt9tarRZGo7Hf5bOzs50BR6vVory8fND1uLsNIiLyb0ePHsWyZcvw3nvvISkpCffffz/Cw8OlLot8lE+NMTIajdBoNN3u02g0MJlMvZYVBAFmsxlqtRomkwkWi8V5OG2g9bizDavVivr6+m7/iIjIf/zpT3/ChRdeCJPJhOeeew6PPvooQxENyKeCkcVi6fN+s9nc6z6TyQSNRuMcK1RUVITS0tJB1+PONvLz8xEVFeX8N2XKFJdeBxGRJ9gdIo7WtuCwuRmtbXapy/FpNTU1WLhwIRYvXozLLrsMZWVlmD17ttRlkR/wqUNp/ekrzJjNZgiCAL1eD7VaDYPBgOjoaIii6NZ6BnosLy8Pa9ascd6ur69nOCIirxNFEZ9X1eCj707gaG0zHA4gKiwIM88ai7kXTEBosF/8Kvead955B8uWLUNrays2btyI66+/XuqSyI/41E+TWq3u1bnpPFzWk1arhVqtdj7W+V+TyTTgetzZhkql4tkKRCS58q+O4a+mIxBFEZoxKshlMtS3tOMvlYdxyNyMpbO1UAUppC5Tcg0NDVizZg1eeuklXHnllVi/fj3Gjx8vdVnkZ3zqUFrnqfY9xcfH97qvczyRu+txZxtERFL7sa4F7391HKogOabEhCNcpURosAITokJwmjoUuw+YUbm/91CA0eZf//oXLr74Yrz55pt45JFH8PzzzzMU0ZD4VDDqGXYEQUB8fHy3blDnWWVarRbx8fHOQ2CdcxnpdLoB1zPYNoiIfMmXBy2oa2nH2DG9u9ehwQooZDJ8vrdGgsp8Q2trK+677z7MmTPHOe40OTmZF36lIfOpQ2kAUFJSgtzcXCQkJKCioqLb/EL5+flISEhATk5Ot2Xj4uJQWVnpPF1/sPUM9BgR+T9LUxu+PGRBXXMbQoIVOH9SFCZFh/rll6WluQ0yoN/aQ4OVOFHfClEU/fL1DYfJZEJKSgqqqqqwZs0apKamQqHgIUUaHpk40Ghl6qa+vh5RUVGoq6tDZGSk1OUQUQ+iKOLjH6rx911HYG7qCBQOUcSYkI6Byr+Mn4IgpU81ygf1t11H8Jedh6AdP6bP4HO0tgUT1SF44JYLJahOGjabDRs2bMDjjz+Os88+G08++STOPvtsqcsiH9bY2IhZs2a59P3tcx0jIqKh+uKgBSX/PQg5gKkx4VDIZRBFEXUt7djxzXGolHLMj/evM0vPPz0K7391DA2tNkSGBnV7zGZ3oLXdjgRtjETVed93332H1NRU7Nq1C5mZmVixYgWCgoIGfyKRi/zrTycion44HCI++PY42m0OTFSHQiHv6K7IZDKow4IRERKEz/achKWpTeJK3TNtXDgStDE42WBFTaMVDlGEKIpoaG3HgZomnDkuHJfGBn4wcjgc+M1vfoMZM2bg5MmTeP3117Fq1SqGIhpx7BgRUUCobmjFwZPNiBkT3OfjmvBgHKhpQtWJBsRN858gIZPJsPCyMxAarMB/957EgZNNENEx8PqSqdFIvnQqosL6fs2B4sCBA8jIyMCHH36IJUuW4O6770ZoaKjUZVGAYjAiooBgs4uwi6KzU9RT5/Ccdrv/DatUBSmQdOkZmHv+BOyrboTNIeK0qFBMiQkL6AHXoijitddew+rVqzFmzBhs3rwZM2fOlLosCnAMRkQUEDRjghEZGoSGVlufM0E3t9kRrJRjXIT/TtqqGaOCpo/T9gPRjz/+iKysLLz99tu4+eabsW7dOkREREhdFo0CDEZEFBBCg5W4LDYGfzUdRlRoULeZoO0OET/WteL8yVGYNm6MhFWSK8rKypCdnQ2Hw4Fnn30W8+bNk7okGkU4+JqIAsbcCybi4inROFLbgiPmZtQ2teHHulbsP9mISZpQJF16BuT9HGoj6VksFqSmpmLBggWYPn06ysrKGIrI69gxIqKAEa5SYvnVsfjP3hp8tqcaluZ2RIQqcfX5EzDr7LEYFxkidYnUj/LycixduhR1dXV48skncdNNNwX0+CnyXQxGRBRQQoM7gtCc88bDanMgSCHvd0A2Sa+pqQk5OTl4/vnncdlll+HVV1/FaaedJnVZNIoxGBFRQJLJZAjhFed92meffYbU1FQcOXIEeXl5uO222yCXc4QHSYufQCIi8qq2tjY88MADuPLKKxEeHo6SkhLcfvvtDEXkE9gxIiIir/nyyy+RmpqKb7/9FnfeeSeWLVsGpZJfReQ7GM+JiMjj7HY7nnrqKSQkJKClpQVvvvkmDAYDQxH5HH4iiYjIo/bu3Yv09HR89tlnyMjIwF133YXg4MC+jAn5LwYjIiLyCFEUUVhYiPvuuw8xMTH4wx/+AJ1OJ3VZRANiMCIiohF35MgRLFu2DO+//z6Sk5Nx//33IywsTOqyiAbFYERERCNGFEW89dZbuPPOOxEUFITnn38eV111ldRlEbmMg6+JiGhEnDx5EgsXLsSSJUswa9YsbN++naGI/A47RkRENGx/+9vfkJmZiba2Njz99NO47rrrpC6JaEjYMSIioiGrr69HZmYmbrrpJpxzzjkoKytjKCK/xo4RERENyUcffYT09HScPHkSjz76KBYsWMALv5LfY8eIiIjc0traijVr1uDqq69GTEwMSktLkZSUxFBEAYEdIyIictnOnTuRmpoKQRBw3333ISUlBQoFL9ZLgYMdIyIiGlR7ezv+7//+DzNnzoRcLsfWrVuRnp7OUEQBhx0jIiIa0P/+9z+kpqZi9+7dyMrKgsFgQFBQkNRlEXkEO0ZERNQnh8OBZ599FjqdDmazGVu2bHFO3EgUqNgxIiKiXvbv34+MjAx89NFHSElJwd13342QkBCpyyLyOAYjIiJyEkURr776Ku655x6MGTMGL730Ei677DKpyyLyGh5KIyIiAMDx48dx8803IzMzE/PmzcO2bdsYimjUYceIiIiwbds2GAwGyGQy/Pa3v8XVV18tdUlEkvB4x6isrMzTmyAioiGqra3FkiVLkJSUBJ1Oh7KyMoYiGtU8HowKCws9vQkiIhqC999/HxdeeCHefvttbNiwAc888ww0Go3UZRFJatiH0jZt2oStW7f2+ZjFYoEgCMPdBBERjaCmpiasXbsWL7zwAmbOnInHH38cEydOlLosIp8wrGC0bt06FBUVIT4+HlqtttfjNTU1MJvNw9kEERGNoE8//RRpaWk4cuQIHnjgASxatAhyOc/DIeo0rGAkCMKgwWfhwoXD2QQREY0Aq9WKRx99FE8//TQuuugilJSU4Mwzz5S6LCKfM6xglJCQMOgyBQUFw9kEEXnA0dpmVAg1+OFYAwDg3EmRiNfG4DR1qMSVkSd8+eWXSElJwXfffYdVq1YhIyMDSiVPSibqi8d/Mvbt24dp06Z5ejNE5KLKfTX402cHUNfcjpCgjguA/nC8AR9/X43Fl5+JS6ZGS1whjRS73Y6NGzfi0UcfxbRp0/DWW2/hnHPOkbosIp82rAPLBoMBmzZtwv79+/tdhmelEfmOY5YWbP3PQbS22zFtXDgmRYdiUnQotOPC0WS14U+f7ceJ+lapy6QRsGfPHlx55ZV46KGHkJqaylBE5CKXO0bXXnttn+OJRFFEbm4u1Go1NBoN1Gq18zGelUbkWyr31aC2qQ3aceGQyWTO+2UyGU6PDoVQ3QTTfjOuu3iShFXScIiiiBdeeAFr165FTEwM/vCHP2DGjBlSl0XkN1wORhUVFf2efRYfH9/nc3hWGpFvqfqxESFKebdQ1EkmkyFYIUfVjw0SVEYj4fDhw1i2bBnKy8uxaNEirFmzBmFhYVKXReRXXA5GWq0W77//vtsb4FlpRL5DLpNBHOBxESLkfYQm8m2iKOLNN9/EnXfeCZVKhRdffBFXXHGF1GUR+SWXxxht3rx5SBvgWWlEvuPcSZFos9nhEHvHI4cowmYXcc5pkRJURkNVXV2NpKQkpKSk4IorrkBZWRlDEdEwuNwxcucY9f79+6HRaBAZGckz0oh8iO5MDT783484VNOMKZowyOUd3SG7Q8QhczMmRIVgxpm8JIS/+Otf/4rly5ejvb0dmzZtwrXXXit1SUR+b1hnpeXl5fW6r66uDlVVVSgvL8emTZuwY8eO4WyCiEZQTIQKqVdOw9gIFfafbMKBLv/GRXY8Fh0eLHWZNIj6+nosW7YMt9xyC84//3xs376doYhohAxrHqOqqqpe90VFRWHevHnO25s2bcLcuXOHsxkiGkHnTorCfTech10HaiGcaIAMQOyECFwyNRpRYQxFvu7DDz9Eeno6ampq8Nhjj2H+/Pl9DqYnoqEZVjBy5YexvLwc999//3A2Q0QjTB0ejKvPn4Crz58gdSmSabM58NWhWlTuM6OmsQ2a8GDMOFOD6WeooTo18aUvaWlpQV5eHn7zm98gPj4ehYWFmDx5stRlEQUct4LRunXrIAgC6urqAAA7d+4csH27c+dOGAyG4VVIRDTCWtpseP3f+7D7QC1EACFKOQ6cbMKu/WZcfEY00q/SIjzEdy6ZsXPnTqSkpGDfvn1Yu3YtUlJSeOFXIg9x6yf/qaeeAgCUlpbCYDBAJpNB7OPsFgBQq9V46qmnkJWVNfwqiYhG0LtfHMPOfTWYpA5DaPBP3aHWdjt27a9FTMQRLJo5VcIKO7S3t+OJJ57Ak08+iXPOOQfFxcWIjY2VuiyigDakP4mSkpKg0+mwbt06FBcXj3RNREQe09DSjs+rTiIyNKhbKAKAkCAF1OFBqNxXg2svOg1qCQeif/vtt0hNTcUXX3wBg8GArKwsBAUFSVYP0Wgx5F6sVqvFokWLRrIWIiKPO2ppQV1LO9T9DDRXhwWjvsWGw7XNXq6sg8PhwDPPPAOdTgeLxYI33ngDK1euZCgi8pJhHURfsGBBv489/fTTkMlkMBgMiIzkhHFE5Bs6pm6SoZ9RABBFETJAkhnA9+/fj/T0dPz73/9GSkoKVq9ejZCQEK/XQTSaeWx04dq1awF0zHWUn5/vqc0QEbnl9OgwaMYEo7apDROieoeO2uY2qMODMUXjvWuMiaKIV155Bffccw8iIyPx8ssvIyEhwWvbJ6KfjEgwKisrgyAIqKmp6Xa/xWKBIAgjsQkiohERplLiirPH4s+Vh9HQ0o6I0J8OUTW2tqOhxYZfzJjQ7X5POn78ODIzM/HOO+/g1ltvRU5ODsaMGeOVbRNRb8MORvHx8TCZTM7barUaQEcoSkxMxIsvvjjcTRARjSj9hafB3NSG/+w9ieoGK5QKGWx2EcFKOa44Zxyuvfg0r9RRUlKCFStWQC6X43e/+x3mzJnjle0SUf+GFYzWrVsHvV6Pf/7zn4iKisK2bdu6jTvatm0bZ2QlIp8TpJRj8awzcWlsDHYfqEVtUzuiwoIw/Yxo/GxihPMacp5SW1uLO++8E2+99RYSExPx8MMPIzo62qPbJCLXDLtj1Dm3EdBxptru3btxySWXAOgYnL1p0ybOfE1EPkcul+HsiZE4e6J3Tw557733sHTpUjQ1NSE/Px833ngj/4Ak8iHDmjp17Nix3W5rtVps3bp1WAUREQWixsZGrFixAtdddx3OPPNMbNu2Db/4xS8Yioh8zLCC0cmTJwEAO3bswP79+xEVFYXKykocOHDAuUx5efnwKiQi8nOffPIJpk+fjtdffx0PPfQQCgsLMXHiRKnLIqI+DCsYZWdnY8WKFdDr9cjOzgYAGAwG6HQ63HHHHbj22mudg7GJiEYbq9WK3NxczJ49GxERESgtLcWiRYvYJSLyYcMaYzRt2jS8+OKLSE5OhlarBdBxuRCz2Yx169YhJiYGlZWVI1IoEZE/2b17N1JTU/H9999j1apVWLp0KRQKxeBPJCJJycT+rgJLvdTX1yMqKgp1dXWczZuI+mSz2VBQUID169dj2rRp2LBhA8455xypyyIa1RobGzFr1iyXvr89NvM1EdFos2fPHqSmpqKiogLLli3DHXfcgeBg6S5ES0TuG9YYI6CjXXzNNdcgJiYGL730kvP+FStWYMeOHW6vTxAEbNy4EaWlpdi4cSMsFotLz8vNze227EDrGeo2iIj64nA48Nxzz2H69Ok4duwYXnvtNdx9990MRUR+aFiH0nbt2oV58+ZBr9cjMTERMpkMy5cvdz6+bds2xMbGOuc1ckVcXJxzXJIgCMjNzUVJScmAzzGZTIiLi0Ntba1zsPdA6xnKNgAeSiOi3g4dOoSlS5fin//8JxYtWoQ1a9YgLMx711kjosF57VDaU089hcrKSkybNg0AunWMgJ8meHQ1GPW8rppWq4XRaHTpeZ2Dvwdbz1C3QUTUlSiK2LJlC1atWoWQkBAUFhbi8ssvl7osIhqmYR1KmzZtmjMUjQSj0QiNRtPtPo1G0+1abD2VlpYiKSnJ5fUMZRtERF1VV1djwYIFSEtLw1VXXYVt27YxFBEFiGF1jHrOfN3XUbmamhqX19ffWB+z2dzv8n3NkzTQetzZhtVqhdVqdd6ur6/v87lENHr85S9/QVZWFtrb2/HMM88gMTFR6pKIaAQNq2O0d+9efPHFF87bPSct27Rp03BW79RfmCkuLoZerx/2evp7LD8/H1FRUc5/U6ZMcXlbRBRY6urqkJGRgfnz5+OCCy7A9u3bGYqIAtCwxxhptVokJiYiISEBVVVV0Gg0EAQBhYWFUKvVqKiocHl9arW6V+fGbDb32RUyGo1YuHCh2+txZxt5eXlYs2aN83Z9fT3DEdEo9MEHHyA9PR1msxmPPfYY5s+fz9mriQLUsDpGarUaO3fuhNlsRk5ODgoLC5GUlIScnBwsWLDArVAEoN/uT3x8fJ/3FxcXo6ioCEVFRRAEAfn5+TCZTAOux51tqFQqREZGdvtHRKNHS0sL7r77bsydOxcTJ07Etm3bcOuttzIUEQWwYU/wqNVqUV5ejrq6OuzcuRMajQYzZswY8rq6EgQB8fHxzm6OyWSCWq2GVqvtFXCys7ORnZ3dax0919OzM9RzG0REAPD5558jNTUVBw4cQE5ODpYsWQK5fNhTvxGRjxuxma+joqIwb968Ya+npKQEubm5SEhIQEVFRbf5hfLz85GQkICcnBznfRaLBUVFRQCAgoICZGdnQ6fTDbiegR4jotGtvb0djz32GPLz83HuueeiuLi4zz+4iCgwDftaabt374bZbIZGo4FWqw3ow02c4JEosH3zzTdITU3FV199BYPBgOXLlyMoKEjqsohomNyZ4HFIfeH6+nosWrQICoUCcXFxSExMRFxcHKKjo3HdddfhwIEDQyqciEgKdrsdmzZtQlxcHOrq6rBlyxbccccdDEVEo5Dbh9I2bdqE3NxciKIIrVYLtVoNjUbjnCPo/fffh1arRW5uLjZs2OCJmomIRowgCEhPT8cnn3yC1NRU50zWRDQ6uRWMNm/ejA0bNuCpp56CwWBAVFRUr2Xq6uqwdetWrFu3DjExMbjvvvtGrFgiopEiiiJeeukl3HvvvVCr1Xj55ZeRkJAgdVlEJDGXxxjt2rULycnJKC8vd+kyIBaLBVqtFh988AGmT58+7EJ9AccYka8TRRGHzM349kgdWtvsiAwLwvQp0YiJUEldmk85duwYMjMz8Y9//AMLFizA2rVrER4eLnVZROQhHrmI7FNPPYXCwkKXr42mVqtRXFyMDRs2YOvWra5uhoiGqM3mQFnFQfxnbw2arDbIZIAoAv8IO4rrL5mEq8+bwPl30DH/2R133AG5XI7nnnsOs2fPlrokIvIhLg++rqqqcvt0fL1ej9raWreLIiL3vbP7CD749keEBMmhHRcO7bgxmDYuHHaHiO0Vh1C5r+9rDo4WZrMZt912GxYtWoT4+HiUlZUxFBFRLy53jIY6jwcnTiTyPEtTGz7bcxIRIUFQhwU775fLZBgfGYKDNU348H8/QnemBnL56Osa/eMf/8CyZcvQ3NyMgoICXH/99eyeEVGfXO4YDfWXiEajGdLziMh1VScaYWluQ3R4cJ+Px4xR4bC5GT/Wt3q5Mmk1NjYiOzsbN9xwA2JjY1FWVoYbbriBoYiI+uVyx2io80DyFxCR59kdIkQA/TWDFHIZHA7AZnd4tS4pffzxx0hLS8Px48fx8MMPIzk5mb+PiGhQHu8Y9bySPRGNvPGRKoQGKdBktfX5eH1LOyJCgxAzJvDPTmttbcXatWsxe/ZsREVFobS0FAsXLmQoIiKXuNwxKikpwb59+9zuHJlMJreLIiL3TB0bjrMmROCrQxaEBiuh6NI6am23o7HVhqvPn4Aw1YhdHtEn7d69GykpKdizZw/uuecepKenQ6FQSF0WEfkRt35L7ty50+0N8K80Is+TyWRIuuwM1LW0Y//JRoQFK6FSytHcZke73YHpZ6gx94KJUpfpMTabDU899RTWr1+P2NhYvPXWW/jZz34mdVlE5IdcDkY6nW5IwSg+Pt7t5xCR+05Th2Kl/mz8d+9JfC7UoKXNjikxYZh51lhcFjsWIcGB2Tn5/vvvkZaWhp07dyIzM5PXOCOiYfH46fpDfR4RuU8zRoXrLzkd102fBLtDhEIuC9iurcPhwHPPPYfc3FyMHz8er732Gi655BKpyyIiP+fyJUGIlwQh8hWHDh1CRkYGduzYgcWLF+Oee+5BWFiY1GURkY/yyCVBiIi8wdLUhuN1LZDJZDgjJgyhwT/9mhJFEa+//jpWr16NsLAwFBUVYdasWRJWS0SBhsGIiHxCQ0s73tl9BJX7zWhotUGGjokprzxnHOZdMBHmmpMwGAz4y1/+gptuugnr1q1j55aIRhyDERFJrrXNjlf/JeCrQ7VQhwXjdHUoHCJQ22RFWcUhlP/jb3ht04Ow2+349a9/Db1eL3XJRBSgGIwCjGizoW3XLlg/+RT2Y8cgj4qCauZMBM+8DHKOwSAfZdpvxjeHLZgcHQZV0E9nz0UpbTC+tAFf/+ttzLpqDjY89ijGjh0rYaVEFOgYjAKIaLWi8aWX0PrhR4DNBlloGGxVAtoqdiLoo48QcfdqKHjtOvJBFUINlHJZt1C094v/oPS3D6GlsR4zb89BysJbMXbsGAmrJKLRgMEogLS8+y5ajTsgnzgR8ogI5/2i1Yq2XbvR9PofEXnP3RJWSNS32qY2Zyhqs7bg3dd+jc/+/ibOOG8GFq37LZqDx6K5nSfQEpHnMRgFCLG1Fa3/3AGEhnYLRQAgU6mgmDABbZWVsB06BOWUKRJVSdS36PBgVNe34uD3X6Lk2TxYqo9h7pLV0M37JSCTobHejrDgwJyPiYh8i8sXkSXfZj9+HI7qasj7OVQmU6shNjTCtv+AlysjGtwlkyPwWdmLeDE3BUpVGNLWv4y4xCTI5HI0tYkIUcpw1tjAvwAuEUmPHaNAIZN1/HM4INpscJw8CdFqhUyphDwmBggOBiAG7CzI5L++/vpr3J2Siq++/goXXp+Oy25cgsjQINjsIuqtDlhtIuJOD8VpEfx1RUSex980AUIxaRIUp52Gtq+/gaOuDmJ9PUSHoyMIhYdDPnYslOPHQ3lWrNSlEgEA7HY7fvWrX+Hhhx/GlClT8Oprb6Am9Ax8X92G6kY7ZDIgMkSBmWeoED8ljKGeiLyCwShAyIKCoIzVovntt4F2m7ODJIoi0NoKe00NlFotFBMD9wrr5D8EQUBaWho+/fRTpKen46677oJK1XGobOZUO2qaOoLRxAglVEoe8Sci72EwChCiKKLtq28AuwMQRcDh6AhHotjxX7kcdkGAo6Gh1+BsIm8RRRGbN2/GmjVrEB0djVdeeQXx8fHdlolQKRChUvSzBiIiz2IwChC2I0fRZjIBSmVHEGpv/ykcKRRAcDBshw/BWlGB0LlzpS6XhsBmd+C7Y/Uw7TOjptGKqNBgTJ8ajYumqBHsB12Vo0ePIjMzE++++y4WLFiAtWvXIjw8XOqyiIi6YTAKEI5Dh+Coq+sIRHI5EBoKWeehNLsdsFoBALY9ewAGI7/TZnPgT5/tx3+ramCzOxCslKPN7kCFUIOLp6iRdpUW4SG+++P8pz/9CStXroRCocBzzz2H2bNnS10SEVGffPc3KbknJMTZJZKpfjqtWSaTAUolRIcDsNkAme93Fqi3Hd8cx8c/VGN8hApjQoKc97e222HaX4uo8MO4/fIzpSuwHzU1NVi5ciWKi4tx3XXX4cEHH4RarZa6LCKifjEYBQh5WGjHITOb7adxRV05HIBcBhmvRu53Wtvs+HRPNcKCFd1CEQCEBCkQPSYIu/abce1FpyEmwnfm+nnnnXewbNkytLa2YuPGjbj++uulLomIaFBsHwQIWVAwFOPHAQoFxLY2iDabc04j0WoFIEIWEcmz0vzQsboWmJvaEB0W3Ofj6rBg1Le045C52cuV9a2hoQFZWVm48cYbcdZZZ6GsrIyhiIj8BjtGAUI+biyCzjoLorWtYw4jm63j8BkAKJWQRYyBcvIUKE9jMPJXA10pzFeuIvbvf/8baWlpOHHiBB555BEkJSVx/iEi8ivsGAUIeUQEVHPnQjF+HJTnnw/FhAmQq9VQjB2LoHPOgWL8BATPuATKs8+WulRy02lRodCEq2BpbuvzcUtTG6JCgzAlJszLlf2ktbUV999/P37+859Do9GgtLQUycnJDEVE5HfYMQogYbfcDFtVFdp274bijDMgD1FBbLfB0dCAoLNiMSYtDTI5s7C/CQlW4IqfjUVZxSE0tLYjoss4o5Y2G2qb2jDvwomIGSPN+CKTyYTU1FTs3bsX9957L9LS0qBQcB4iIvJPDEYBRB4Vhcj770PrP/+J1g8/gmipg3zMGIRcdy1C582DYtJpUpdIQzT3/ImorrfiP3tPorrBCpWi43R9uVyGOG0MbtJN9npNNpsNGzZswOOPP46zzjoLf/rTn3A2O5JE5Odkoij6yvAEn1dfX4+oqCjU1dUh0sfP7hJtNogtLZCpVJAF9z1ol/yLwyHi+2P12LW/FjWNVkSGBmH61GhccHoUgrw8weP333+P1NRUVFZWYvny5VixYgWCgoIGfyIRkQQaGxsxa9Ysl76/2TEKUDKlEjJe+iOgyOUynHd6FM47PUqyGhwOB37/+98jNzcXEydOxB//+EdcfPHFktVDRDTSGIyIyCUHDx5Eeno6PvzwQ9x+++245557EBoaKnVZREQjisGIiAYkiiJee+013H333QgLC8PmzZsxc+ZMqcsiIvIInqJERP06ceIE5s+fj6VLl2LOnDkoKytjKCKigMaOERH1qaysDAaDAaIo4tlnn8W8efOkLomIyOMYjAKMKIqw79sP6+efw1FdDVlkJIJ1MxB0/vmQcW4ZcoHFYsGqVauwZcsWzJ07F4888ghiYmKkLouIyCsYjAKI6HCgeWsxWt55B476BsgUCoh2O1reeQeqmTMxJtsAeZh0syOT7zMajcjIyEBdXR2efPJJ3HTTTZy9mohGFY4xCiDWHR+geds2ICgYyp/9DMqzzkLQOedArolB6wcfovmtt6QukXxUc3Mz7rrrLiQmJmLy5MkoKyvDzTffzFBERKMOO0YBQrTZ0PLe+4BcAcXYsd0ek0dEQBw7FtZ/f4LQm2+GYtw4iaokKTRbbfj2SB3qWtoRGqzA+ZOioA7/adLP//znP0hNTcXhw4exbt06LF68GHJeOoaIRikGowBhP3oU9iNHIO8RijrJNRrYq/bC9sMeBqNR5POqGrxtOozqeitEiBABRIcFY+4FE/Dzn8XgscfWo6CgABdccAGKi4sxbdo0qUsmIpIUg1GgcDgA0QFRJoOjoQGO6mqIra1AUBAUMTGAWg1RFCHa7VJXSl7y5cFavPnpftjtDkzWhEKpkMPuEFHTaMUrf/kQK7c8iYPCD7jzzjuxbNkyKJX8dUBExN+EAUIxYQJk0dFo/9//IDY0QGxr6xgfIoqwHzwIWWQkFBMnQnnGFKlLJS9wOETs+OZHtLbbcObYMc77ZaID35a/gfI3f4/oCZPxhz9uwfQLL5CwUiIi38JgFCBkoaFQTJwI644dkIWFQx4V5Rw467BaYT9yBIpJp0ExdarElZI3HK9rxf6TTRg7RuW8r+bYQZT85kEc+G434q9dhJ8lZiB8Yt+HXomIRisGowAh2mwQ6+ogV0fD0doK0WwG5HJAFAG5HAqNBjIRcJw8yTFGo0CbzQ6bw4EgRRBEUcTn7xbjnT9sQlhENBav+y1O/9nFOFZvR7tD6kqJiHwLg1GAsB89Cvux41BMmwZUVcHe3AzYbIBcDnlEBBRnnAFHcxMHX48S0eHBCA9W4tixo/jg1Sfwg+kTTJ9zM+bcthLBIWFoaXcgWCFDpIpnnxERdcVgFCgcDjgaG2A/egyw2aAYNw4ypRKi3Q6xpQW2qirIIiI4+HqUiAwNQvMP/8arGx9CUHAwFqzZCO3FHdc4E0UR5mYHpmmCcFokfwUQEXXF34oBQjZ+PMSGRohNTZCPG+ccXyRTKCAbMwYOiwViXR0U49ktCnQnT57EHXfcgdLSUpx72TxccMsqqNVRaG5zoN0uoqFNxNgwBebEhkPOCRyJiLphMAoUDQ2AUgko5IDd3vH/p4gOB0SHAzJVMBwNDRIWSZ7297//HZmZmbBarXj66adxxdWJ2H2kFd+esKK13YEghQwJk1WYcXooxobzx5+IqCf+ZgwQYlMz5NHRHYfUzGaIQEc4stsBhwOKmBjIwsMhNjdLXSp5QH19Pe6991688soruOqqq7B+/XqMOzWW7CptOGZO7RhXpFLKoFJyXBERUX8YjAKETK2GPDwMsrAwyMePg23ffogtLZAFBUF55lQoxk+AvaamIzxRQPnoo4+Qnp6OkydP4tFHH8WCBQt6XeMsSCFDkEIhUYVERP6DfzoGCIUmGkHx8bAJAmzCPqC1tePLsb0dtkOH0fbVV1CccQaCzjtP6lJphLS2tmLNmjW4+uqrERMTg5KSEiQlJfHCr0REw8COUQBRTp0KsbEBYnMLEBkJeXBwx/xGDfUQm5uhmDgBsqAgqcukPoiiiGOWVtQ1tyEkWIEpmjAoFf3/3VJZWYnU1FTs3bsX9913H1JSUqBgR4iIaNgYjAKE6HCgraICikmnQ7RaYT92DPb6esgUCsg1MZDFaGD74Qc4LBbI1Wqpy6UuDtU04W+7juD7Yw2wttuhVMgwWROGay46DTPO1HRbtr29HRs2bMATTzyBs88+G8XFxTjrrLMkqpyIKPAwGAUI+9GjaN+7FyIAR10dIJdBplRCJpNBbG6GbMwY2E9Uo/2776CaOVPqcumUo7XN2PzBXhyztGJchArjIlRos9mxv7oJr/17H2wOEQnaGADA//73P6SmpmL37t1Yvnw5srOzEcQOIBHRiOIYo0DR1g7xZA0chw9DtNshU4VAplIBKhWgUHTMjF1dDbGtXepKqQvj18dxzNKCaePCERkaBIVchtBgJaaODYfN7sDfdx9Bi7Udzz77LHQ6HcxmM/74xz/irrvuYigiIvIAdowChCxaDUd9PRwtLZABcNhsPz2mUEBUKIBTcxmRb6hrbsNXhyzQhKv6nGhxfGQIfqgSMHvOSuz8zydISUnB6tWrERoaKkG1RESjg88FI0EQUFpaCq1WC0EQYDAYoO5nTIzJZILRaAQAVFRUYPPmzc5lB1qPO9vwF2JjY8cFY1tbISqVQOdAXFGEKIpAczPEsDCI7baBV0Re09hqg9XmQHRY77AqiiK+/PAv+OvmfERFRuKll17CZZddJkGVRESji88Fo+TkZFRWVgLoCDBZWVkoKSnpc1mj0YicnBwAwMaNGzFv3jzncwdajzvb8BdieztEe8dFY9HWBji6XDZdJgM6xxs1NUlXJHUTrlJCpZSjtd2O0OCfzihrsJxE2e//D99VfIjYy67F+ofyMP3MGAkrJSIaPXxqjJEgCN1ua7VaZ0eoJ5PJhPz8fOftpKQkmEwmCIIw4Hrc2YZfEQFHqxWw2bqHIqCjk2S3Q2xvg4PByGeow4Nx4WQ1ahqtcIgiAODrT8vx7KpbcfD7L3C14XH8IusBnD9FM8iaiIhopPhUx8hoNEKj6f4loNFoYDKZoNPput2v0+mwefNm522LxeJcvri4uN/17Ny50+VtWK1WWK1W5+36+vohvzZPk8lkP3WKFIqOzlEnh6Pj0iBt7UBUpHRFjlIOh4h91Y04ZmmBXCbDtPFjcJq6Y5yQ/sKJ2PtjA747cBymkl/jm4/fQeyMqxCXfC/GREXj8jPDEKTghI1ERN7iU8GoM9z0ZDab+7w/KSnJ+f9bt26FXq+HWq0ecD3ubCM/Px/r168fsGZf4bBagfb2nwKRw9FxCO1UJwIKBSCKcFQJwLx50hU6yvxY14Kt/zmIvccbYLXZIYrAmBAlLpkajQUJZ+B0TRjOwQH87jEDWpqbcHnKOpx9WSLGjwnCpWeE4dzxKqlfAhHRqOJTwag//YWZro+XlpY6xw0NZT19PZaXl4c1a9Y4b9fX12PKlCkDbkMqjurqjiCkUHT86zykdmp8EUQHIAJilw4YeVZ9Szte/rAK+6qbMDEqBGHBIc77//39CVjqGvC/vxfixRdfwMyZM3HPukcRqh4PlVKGiRFKKOTsFBEReZtPBSO1Wt2rc2M2mwc9Yyw3Nxfl5eXO5QZajzvbUKlUUKn84y92+ZjwjjmLmpsBq/WnThHQcRhNqQSCgiALD5euyFFmp1CD/dVNmBrT/fIeUWHB+LHqKzz84IOw1p3EAw88gEWLFkEu96khf0REo5JP/SbW6/V93h8fH9/vczZu3Ijc3FxotVpYLBZYLJYB1zOUbfgD5fTpkEWrOw6ndQ1FnWw2QKlE6LXXeL220apynxnBSnm3UGRrb8O7f3wWf3h4KYLDIrH2V69h8eLFDEVERD7CpzpGWq22221BEBAfH+/s5phMJqjVaudypaWl0Ol0zlBUXFzc55xEXdcz0GP+TCaTQS6Twz7QQg475GFh3ipp1Guy2hCs/CnwHNv/PYp/nYcThwRc+ctMTLlyISInsINHRORLfCoYAUBJSQlyc3ORkJCAioqKbvML5efnIyEhATk5ORAEAcnJyd2eq1arYTAYBl3PQI/5K9v+/bB3jjPqq2MkkwFt7Wj56COEz5/v9fpGo9PUoThe1wqH3Y5/bX8V5W/+HprTzkDKI4UYf8ZZOFpvhzpUMfiKiIjIa2Si2Ne3KPWlvr4eUVFRqKurQ2Skb5323vz3d1B7x8qOUNRzHiOgY0C2w4HwpRlQP/6Y9wschSr3mfHM1g/xr1cfw+E9X+LS6xfjiluXQRkUDEuLHYAMt8+Iwthwn/v7hIgooDQ2NmLWrFkufX/zN3KgCA7uPxQBHQOwAYgcy+IVoiji07+/hdL1axE8JhrX3/MbxJ5/MdpEoKbBBpkMuGpaGEMREZGP4W/lAKGcOMGl5RQTT/NwJXT48GEsW7YM5eXlSEpOhn7xnfjBIkddqx0yAFPUQbhkUijOGccL+hIR+RoGowAhhoT2PbaoB8VYXnPLXccsLfjqkAWWpjaEqZS4YHIUzhwb3jHbeBeiKOLNN9/EXXfdheDgYLzwwgu48sorAQCXOUQ0WB2QAYgMkUMu4xxFRES+iMEoQDgOHXQpGLV98w3Ck5MGXY46gs57Xx5D+dfHUN/SDhlkEEUR5V8dw6WxMUi+bKrzrLOTJ09ixYoV2LZtG2644QY88MADiIqKcq5LKZchmgOtiYh8HoNRgLA3uHZxWEdtrYcrCRyf7T2Jt02HERqshHbcGMhkHcGoodWGf313AmHBCtyacAbefvttLF++HFarFZs2bcK1114rdelERDREHIkbIGS2dpeWE9tdW260s9kd+Nf/TkAmk2FshMp52EwmkyEyNAgRIUH46MsDSEnLwM0334xzzz0X27dvZygiIvJz7BgFCJmL0wfIuxzeof4dr2vFMUsLNOF9D5Cu3fcFip99APbmeqxfvx633nprrzFHRETkfxiMAoQsJASQy/s/Xf8UefgYL1Xk3xwOEQ5RhLzHhVzbra1474+/wSdv/xHjYy/GI78pxM+na/tZCxER+RsGowAhD1F1zGXU2tr/QgoFFBPGe68oPzY2QoXI0CDUt7QjJKhj0PThPV+j+Nd5MJ84gsuTV+Lcny/AebEaiSslIqKRxDFGAUIZGwv5YHMZRYxB8CWXeKUefxemUmLmWWPR0GpDU0sryt96Ds/nLIFcGYSURzbjzCuTMC1GhXHhPNOMiCiQsGMUIBQaDeRjx8Gx/0C/y8iUQQi6ZLoXq/Jv+gsnosL0JV7IvQ81h/ZgxvUpuPCaJWiHEqdHKTEndgzHFRERBRgGowAhtrTAJggDL1NfD5sgIPicc7xUlf9yOBx44fe/xcYHHkDM+NOQ8egLCDvtZwgLkuP8CSE4b4IK4cFsuBIRBRoGowBhNZmAweYoamtDU9l2BOet805Rfmr//v1IT0/Hv/71L6SkpODuu+9GSEgIRFFkh4iIKMAxGAWI9j17XJr52vb9916oxj+JoohXXnkF99xzDyIiIvDyyy/j0ksvdT7OUEREFPh4LCBAyEJCXFvOMXh4Go2OHz+Om266CcuXL0diYiLKysq6hSIiIhod2DEKELIxES4tJ4aFebgS/1NaWors7GzIZDL87ne/w5w5c6QuiYiIJMKOUYBw1NW5tJzY1OjhSvxHbW0tbr/9diQnJyMuLg5lZWUMRUREoxw7RgHCcfKka8udOOHhSvzDe++9h2XLlqGhoQH5+fm48cYbOYaIiIjYMQoUDqt1RJcLVE1NTbjjjjtw3XXXYerUqSgrK8MvfvELhiIiIgLAjlHgaHTtEJlobfNwIb7rk08+QVpaGo4dO4YHH3wQixYtYiAiIqJu2DEKEA6Fi7tyFAYBq9WK3NxczJ49GxERESgpKcFtt93GUERERL2wYxQg5Mpgl5ZTBAV5uBLf8sUXXyAlJQXff/89Vq1ahaVLl0Kh4PXNiIiob+wYBQjlmWe4tlzsNA9X4htsNhs2bNiAhIQEtLW14a233sLy5csZioiIaEDsGAWI0J//HPUuLBdyw40er0Vqe/bsQWpqKioqKrB06VKsXLkSwcGuddSIiGh0YzAKEPKoqI7xQ4NcFkQ5ZbKXKvI+h8OBF154ATk5OYiJicFrr72GSy65ROqyiIjIj/BQWoCw/ve/Ll0rreUvf/VCNd53+PBhXHvttbjrrrtw0003obS0lKGIiIjcxo5RgGirqnJpOdu+/Z4txMtEUcSWLVuwatUqhISEoLCwEJdffrnUZRERkZ9ixyhAyNVq1xZUqTxahzdVV1djwYIFSEtLw5VXXolt27YxFBER0bCwYxQglFOmuLbc2Wd5uBLv+Otf/4rly5ejvb0dv/rVr3DNNddIXRIREQUAdowChCIyEhjszCuZDEHTzvRKPZ5SX1+PpUuX4pZbbsEFF1yA7du3MxQREdGIYccoQCjGju04TNY2wCU/ZIDyzDO9VtNI++CDD5Ceng6z2YzHHnsM8+fP5+zVREQ0otgxChAOuRxobh5kIRGOgYKTj2ppacHdd9+NuXPnYsKECdi2bRtuvfVWhiIiIhpx7BgFiPYvvwLs9kGXa3nnHwibM8fzBY2QiooKpKamYt++fcjJycGSJUsglzPPExGRZ/AbJkC0ffGFi8t96eFKRkZ7ezsefvhhzJo1C0qlEiUlJUhNTWUoIiIij2LHKEDY61y5IAggWmo9XMnwffPNN0hNTcWXX36J7OxsLF++HEGj7OK3REQkDf75HSAcbVaXlhPb2j1cydDZ7XZs2rQJcXFxqKurwxtvvIE77riDoYiIiLyGHaNAYbG4tpyPDr7et28f0tPT8fHHHyM1NdU5kzUREZE3MRgFCHl0tGsLjgn3bCFuEkURL7/8Mu69915ERkbi5ZdfRkJCgtRlERHRKMVDaQFCOfVMl5ZTaGI8W4gbjh07hl/84hfIysrCNddcg23btjEUERGRpNgxChBK7TTXljv3HA9X4pri4mKsWLECCoUCv//97/Hzn/9c6pKIiIjYMQoU7fv3u7ScrUrwbCGDMJvNuO2227Bo0SLEx8ejrKyMoYiIiHwGO0YBwi64Fngc1dUerqR/7777LpYuXYrm5mY89dRTuOGGGzh7NRER+RR2jAKFixMfijabhwvprbGxEdnZ2bj++usRGxuLsrIy3HjjjQxFRETkc9gxChDyMWNcXNC7Wfjjjz9GWloajh8/jocffhjJyckMRERE5LPYMQoQtnrXZr721jxGVqsVOTk5mD17NqKiolBaWoqFCxcyFBERkU9jxyhAiK6OHWpt9WwhAHbv3o2UlBTs2bMHd999NzIyMqBQKDy+XSIiouFiMAoQspBQ1xZUqTxWg81mw1NPPYX169dDq9XizTffxDnn+Mb0AERE1EEURYiiKHUZI04mk43IUQkGowARFDcDbX/+8+ALujpDtpt++OEHpKamYufOncjMzOQ1zoiIfJAoirDZbJB7ebypNzgcDgCAQqEYVkBiMAoQLV9949qCR46M6HYdDgeef/555OTkYPz48XjttddwySWXjOg2iIho+ERRhN1uR2hoKCZMmBBQYz5FUURrayuqq6tht9uhVA493jAYBQjHhx+4tmBT04ht89ChQ8jIyMCOHTtw22234d5770VYWNiIrZ+IiEaWTCZDTExMQF6ku/M1/fjjjxBFccjBj8EoUFi9c7YZ0JHM//jHP2L16tUICQlBYWEhLr/8cq9tn4iI3Nc5rmg43RRfFxISAplMxmBE6Bg7VFfn8c1UV1fDYDDgz3/+M2666SasW7cOkZGRHt8uERGNjJ6BwX70KERzrfe2r4mGYtIkz6ybg6/JKdTzbdE///nPyMrKgt1ux69//Wvo9XqPb5OIiDzHfvQo6hKv8epRB6iCEVX+vsfC0XAxGAUKD36o6+rqsHr1arz++uuYM2cOHn30UYwdO9Zj2yMiIu8QzbXeDUUAYG3r2K6LwWjfvn3Yvn07pk2bhn379mHZsmVQq9UeK4/BKFB4aEbrHTt2ID09HbW1tXj88cdxyy23BNSZDERE5NuWLFmCTz/9FEBHSLrzzjvxxhtveGx7gTeRwWg1wsGoubkZq1evxrx58zBp0iSUlZVh/vz5DEVEROQ1+/bt63Z72rRp+OADF8/CHiJ2jAJFe/uIrerzzz9HSkoKDh48iNzcXNx+++0BORkYERH5th07dkCj0XS7Lzo6Grt27cKMGTM8sk1+2wWKaPWwV9HW1oaHHnoIl19+OVQqFYqLi5GSksJQREREkqjr52zr2lrPnUXHjlGgmDAREPYNvlw/vv76a6SmpuLrr7/GihUrsHz58oCe64KIiPxXf4FpJLAVECiqq4f0NLvdjo0bNyIuLg4NDQ3YsmULVqxYwVBERESSi4qKgtls7nZfbW0toqKiPLZNBqNAYbG4/RRBEPDzn/8c69atw+LFi7F161ZccMEFI18bERHREMydO7fP+3U6nce2ybZAoFC4nnFFUcTmzZuxZs0aqNVqvPLKK4iPj/dgcURERO6bNm1at9v79u2DTqfjPEbkAhcHSB+327H8hhvw7rvvYsGCBVi7di3Cw8M9XBwREfkimSYaUAV7feZrmSba5cXfeOMNPPTQQ4iLi0NlZSW2bNniweJ8MBgJgoDS0lJotVoIggCDwdBvMhxo2aE+5reamgdd5K8tzciz1CJoZzuee+45zJ492wuFERGRr1JMmoSo8vd9+lpp06ZNwxNPPAEAuPXWWz1VlpPPBaPk5GRUVlYC6AgwWVlZKCkpcXvZoT7mt+rr+32o1mHHgxYL/tragl+EhCJ3+3b/D4JERDQiFJMmuXx5jtHAp4KRIAjdbmu1WhiNRreXHepjfk0uBxyOXnfvaG3BWkstWkURv4/W4KbQMNQzFBEREfXJp85KMxqNvWa41Gg0MJlMbi071Md6slqtqK+v7/bPZ4WFdbvZ6HAgx1KLNHMNzgsKgnH8RNwSGtbPk4mIiAjwsWBk6eeU855zGAy27FAf6yk/Px9RUVHOf1OmTOnzub4geN485///12rFNdU/4s8tzciPUuN1zVhMVChOLRgsUYVERES+z6eCUX/6CzPuLuvuY3l5eairq3P+O3TokMt1eFv0r3+FVlHE43UWJNVUY4JCgffGTUBK+JhuF35tfPRhCaskIiLybT41xkitVvfq3JjN5j4HCg+07FAf60mlUkGlUg3txXjZV99+i8X1FuxrasIDkVHICh8DRZdABABiUBAcnK+IiIioXz7VMdLr9X3e39fkgwMtO9TH/JHNZsPjjz+OSy+9FLIpU/CXCy/GijERvUKRIyQEdVvfkqhKIiIi/+BTHSOtVtvttiAIiI+Pd3ZzTCYT1Go1tFrtgMv27P64+pi/+f7775GamorKykpkZmbijjvuQFBQEOr37EHo8y9A8eMJOMaMQUt6GuyXzwJ6hCUiIqIf61pR19Lute1FhQZhQlSI17bnLp8KRgBQUlKC3NxcJCQkoKKiotv8Qvn5+UhISEBOTs6gyw71MX/gcDjw+9//Hrm5uZgwYQJef/11TJ8+/afHzz4bTb9+RsIKiYjIH/xY14q0ogq02UWvbTNYIcPrhgSXw9GuXbtw55134tNPP/VwZR1koih6793wc/X19YiKikJdXR0iIyMlqeHgwYPIyMjABx98gNtvvx333HMPQkNDJamFiIj8h8PhgCiKmDp1qnP87A/HG5D9h11er6UwYwZ+NjFi0OW2b9+OM888E1dccQWamwe/woPVasWBAwcgk8kg73KprMbGRsyaNcul72+f6xhR30RRxOuvv47Vq1cjLCwMmzdvxsyZM6Uui4iIyGO8cQmQnnxq8DX17cSJE5g/fz4yMjIwZ84cbNu2jaGIiIjIA9gx8nHbt2+HwWCAw+HAs88+i3ldJnIkIiKikcWOkY+yWCxIS0vDL3/5S1x00UUoKytjKCIiIvIwdox8kNFoREZGBurq6vDEE0/g5ptv7jZ7NREREXkGO0Y+pLm5GXfddRcSExMxefJklJWV4ZZbbmEoIiIi8hJ2jHzEf/7zH6SlpeHgwYNYt24dFi9e3O1UQyIiotHMYrF4ZTJmfvNKrK2tDQ8++CCuuOIKhISEoKSkBEuWLGEoIiKiUW/Hjh146KGHAACbNm3C9u3bPb5Ndowk9NVXXyE1NRXffPMNVq5ciczMTCiV3CVEROQdUaFBCFbIvD7zdVRokEvLzp07F3PnzsUTTzzh4ap+wm9hCdjtdmzatAmPPPIIzjjjDLz55ps477zzpC6LiIhGmQlRIXjdkMBrpXXBYORlVVVVSEtLw2effYaMjAzceeedzqnZiYiIvG1CVIhPBxVvYzDyElEUUVhYiPvvvx/R0dF49dVXERcXJ3VZRERE1AWDkRccOXIEmZmZeO+995CUlIT7778f4eHhUpdFREREPTAYedif/vQnrFy5EkqlEs899xxmz54tdUlERDSKiaL3Blp720i8Np4T7iE1NTVYuHAhFi9ejJkzZ2L79u0MRUREJJnOyYJtNpvElXhOa2srRFEc1sTI7Bh5wN///ndkZmaitbUVTz/9NK677jqpSyIiIoIoiqipqYFSqQyoqyqIoojW1lZUV1cDAIORr2hoaMC9996Ll19+GVdeeSXWr1+P8ePHS10WERERZDIZFAoFWlpacPDgQanLGXGdh9EUCsWw1sNgNEL+9a9/IS0tDdXV1Xj00UexYMGCgErjRETk/2QymXMi4UAbaySXy0fke5fBaJhaW1vxwAMP4Nlnn8WMGTPwwgsvYMqUKVKXRURE1KfO8MA/3vvGYDQMlZWVSE1Nxd69e7FmzRqkpqYOu4VHRERE0uFZaUPQ3t6O9evXY+bMmQCArVu3IiMjg6GIiIjIz7FjNASJiYn48ssvsXz5cmRnZyMoyLWL4REREZFvYzByQ+dAterqahQWFuKCCy6A1WqF1WqVuDIiIiLqT1NTEwDXBpzLxEAblu5Bhw8f5sBqIiIiP3Xo0CFMnjx5wGUYjNzgcDhw9OhRRERE+MVo/vr6ekyZMgWHDh1CZGSk1OXQALiv/Av3l//gvvIvntpfoiiioaEBkyZNglw+8PBqHkpzg1wuHzRp+qLIyEj+QvAT3Ff+hfvLf3Bf+RdP7K+oqCiXluNZaURERESnMBgRERERncJgFMBUKhUeffRRqFQqqUuhQXBf+RfuL//BfeVffGF/cfA1ERER0SnsGBERERGdwmBEREREdAqDEREREdEpnMfIzwmCgNLSUmi1WgiCAIPBALVaPexlaeS58/6bTCYYjUYAQEVFBTZv3sx95WVD/XnJzc1FXl4e95cXubuvjEYjBEGAVqsFAOj1ei9VSoD731tGoxEajQaCICApKcm53zxGJL+m0+mc/19VVSUmJSWNyLI08tx5/wsKCrr9f9fnkncM5eelsrJSBCDW1tZ6sDLqyZ19VV5eLhoMBueyWq3W4/VRd0P9XSiKonPfeRIPpfkxQRC63dZqtc4uw3CWpZHnzvtvMpmQn5/vvJ2UlASTydRrHeQ5Q/156dqFIO9wd19lZ2ejoKDAuWx5eblH66Pu3N1fW7du9XRJvTAY+bHO9mJXGo0GJpNpWMvSyHPn/dfpdNi8ebPztsVicS5P3jGUn5fS0lIkJSV5ujTqwZ19JQgCzGYz1Go1TCYTLBYLg6yXufuzpdFoEBcX5zyklpiY6PEaGYz8WOcXZk9ms3lYy9LIc/f97/oFu3XrVuj1eo5Z8SJ395fFYuH+kYg7+8pkMkGj0TjHtxQVFaG0tNTDFVJX7v5slZSUAABiY2NRUlLilT8+OPg6APX3wRvusjTyBnv/LRYLSktLUVlZ6Z2CaED97a/i4mIYDAbvFkMD6mtfmc1mCILg/EPDYDAgOjoaIuc5llx/P1tGoxEFBQUQBAHZ2dkAgMLCQo/Wwo6RH1Or1b1SdmebeDjL0sgb6vufm5uL8vJy7icvc2d/GY1GLFy40EuVUU/u7CutVgu1Wu18rPO/HFLgPe7sL0EQUFFRAb1eD4PBgKqqKhQXF3t8vCWDkR/r7xTT+Pj4YS1LI28o7//GjRuRm5sLrVYLi8XC7p4Xubu/iouLUVRUhKKiIgiCgPz8fH7Zeok7+4rjiaTnzv4ymUxISEhw3tZqtcjLy/P470IGIz/W84dcEATEx8d3+yuoM1kPtix5ljv7CugYyKvT6ZyhqLi4mPvKi9zZX51/zXb+AzrOfNLpdF6tebRy9/dgfHy884u18yxC7ivvcWd/6XQ6VFRUdFu+pqbG4/uLF5H1c4IgoLCwEAkJCaioqOg2sVxycjISEhKQk5Mz6LLkea7uK0EQEBsb2+25arUatbW1ElQ9ernzswV0jJEoKipCbm4uDAYDw5EXubOvLBYLcnNzERcXh8rKSmdXlrzHnf1lNBphMpmcj+v1eo/vLwYjIiIiolN4KI2IiIjoFAYjIiIiolMYjIiIiIhOYTAiIiIiOoXBiIiIiOgUBiMiIiKiUxiMiIiIiE5hMCIiv5GcnIy4uDjIZDLIZDIkJyd3+5eYmIjk5OQ+L8dhsVgQGxuLjRs3jlg9JpMJcXFxiI6ORmJi4oitl4iko5S6ACIiV5WUlAAAZDIZ9Hq983ZXGzduRFxcHAoLC7td8b7zyuo9LzHgqtzcXBQUFHS7T6fTobKyEomJib0ujElE/okdIyIKKDk5OdDpdMjOzu52/TmtVgtRFPsMU64Y6IrevKQEUeBgMCKigNN5BW+j0Tgi6ystLfX4Fb2JyDcwGBFRwOl6NfWRWFdWVtaw10NE/oFjjIgooAiCgNLSUuj1emfnSBAEZGdnY+fOndBqtaisrATQ0VHKzc2FIAgwGAxYtGgRjEYjysvLkZ2dDQDYunUrAGDnzp1ITk4G0BG4eo43AjoGeBcVFQEAKioq+l2OiHyXTBRFUeoiiIjc0Tn4ury83HmfxWJxBp2kpKQ+A0nnIOnOYNQpNjYWer0esbGxyMnJQWxsLHQ6nXM8UucZZ12311Vn6Fq0aBFycnKc90dHRyMvL6/bfUTk29gxIiK/JAhCr1Pvq6qqoNfrkZCQ0OdztFptn2ePabVaFBcXY9++fQCAyspKqNVqt+oxmUy9BnbHx8dj69atDEZEfoTBiIj8klar7TNwWCwWxMXFIT8/v1dnaLD1dYYhd0NR53N6jmnqL4gRke/i4GsiCihqtRqFhYUwmUzOcUKu0Gg0w9rucJ9PRL6BwYiIAk7noOvOgdCucKdL1Nep+0PpMhGR72EwIiJy086dOwec8JGI/BeDEREFnNLSUgBAUlLSiKyvZzfIYrHw0BlRgGIwIqKAYjKZkJWVBa1Wi82bN/d6vL8ZrAea2ToxMRE7d+503hYEoVtYMpvNfT6/v/uJyHdxHiMi8hvJyckQBAEmkwlAR0eos3PTeZFYAL3mExIEAbm5uTAajbBYLEhKSkJeXh4AID8/v1uHKSEhoc+z3XJzc2EymZCYmAidTge9Xt/nerOzs6HVarvdr9frkZ2dPWIdLCLyHAYjIiIiolN4KI2IiIjoFAYjIiIiolMYjIiIiIhOYTAiIiIiOoXBiIiIiOgUBiMiIiKiUxiMiIiIiE5hMCIiIiI6hcGIiIiI6BQGIyIiIqJTGIyIiIiITmEwIiIiIjqFwYiIiIjolP8HyT91D5B4b34AAAAASUVORK5CYII=", "text/plain": [ - "Text(0.5, 1.0, 'Persistence diagram of the Rips complex')" + "
" ] }, - "execution_count": 3, "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, "output_type": "display_data" } ], "source": [ "' Usual Rips complex on X '\n", - "st_rips = gudhi.RipsComplex(points=X).create_simplex_tree(max_dimension=2) # create a Rips complex \n", + "st_rips = gd.RipsComplex(points=X).create_simplex_tree(max_dimension=2) # create a Rips complex \n", "diagram_rips = st_rips.persistence() # compute the persistence\n", "\n", "# plot the persistence diagram\n", - "gudhi.plot_persistence_diagram(diagram_rips) \n", - "plt.title('Persistence diagram of the Rips complex')" + "gd.plot_persistence_diagram(diagram_rips) \n", + "_ = plt.title('Persistence diagram of the Rips complex')" ] }, { @@ -197,24 +183,12 @@ "outputs": [ { "data": { + "image/png": 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qtdDpdFAqlQ6POeLVCaJqtRpyudzsOrlcDo1Ggy1bttg85uyDI8Qfvf7+7yhcvcf0ec43JxIVVXXIevk7CE2i+TZMTnxf+Oyb9XjzlXn4vXCn3UQDAGpqGrD8jx24KW0i3sj71TLRAADGABEAEwGO4avP1iEsPAg/fL4e5WU1hsMisFNzBN99uQHgBTARGDSsF27NuAyTLx/u3C/DB4miiMWq9fjip83gecGQDAoiIsKC8cRdSbjq0hHeDtGjztRVQHVsM/46swcNfBOGx/TBvP4TkdhF4e3QfJbQfOnI7duiLaME+fn5WLRoEQAgOTnZrJ29Y454NdnQ6XRWry8rK7N7zJqGhgY0NFzsFq6srOxoeIS0myiK2LTtCH76YzsOl55HRHgIkqYNw7VJoxEdaXtL6KPHL2DFqj02zgkIoghIAPAtD9iPRRBEbNEcQU1tA9atP+hU/GvWHcDUSYOxbetR242Y4f9EZkh+PnvvT4iCaIq15X8h4SDyArT7T+Olx77B/U/NQlR0GFb8UIxzZyrQrUcMrrghHpemjII0SOJUjN7y8Xcb8Mn3G00/882PuaauES99sByhoUG4LHGIt8LzqO3lx/DA5k9RzzeZ5hGcqa/En6d343bFNDxyyZU0v8cKvoOrUdpyW61Wa/azQqGAWq222T4+Pt40gtC698PeMUd8cumrrUTD3rGcnBy89NJL7gmIkDYQBBGvvf87fl+1GxzHIDR/GB04fAbf/rwF7/1zPvr1kVu97Z9r90HS/E3ZGtH0f2jzJtN1dY1obNS3OqExKzC/ura6AdqSs86dmDFA4MHr7XzfEkWAMVMy8sHrvwE8b/r9nDx6AVs3luDnrzfg1fy7EB4R4uSj8qzK6np8/tNmm8cZgA++WYsZCYM7/Ydsrb4BDxd9bpZoABd3JP1cuw7Do/vgyt6jvRUigf0RBFujBPYSifYu0vDq0leZTGbRU1FWVgaZTGb3mDXZ2dmoqKgwXUpLS90VNiF2qX7T4PdVuwHAlGgAhs/bispaZL72vdn1LVXV1Dv+kGrHZ1h4eDBiosNxydCeF68URUOS0SJ5MZ761OlyVFbVO38HvGj/uxZjAGuR0zQnH8bfg/G/+3cex/uv/Oz8/XrY2uISNOl5m8dFAKWnynHo2DnPBeUly0/uQJW+3ubKCA4MXx5e5+Go/AMvdvwCGHrwW15a9u4btXWUQKfTQaVSQaVSISsry6xnxN4xR7yabCQnJ1u9PiEhwe4xa0JCQhAdHW12IcTTBEHEtz9vsXmcF0QcP63Dpm2HrR7v3UMGXnAwItv6vd1B8sFxDNdeOQZBQRLMvna8xXlaJhnGn3m9gO9+KEJwsIMhDRGm3hGHOZAT3/QFQcTK5TtQdr7KbrsL56pwTHsWNdVtSIhcoLKmHpwTj6PSw3F5g6bsMDg7f3UBInZXnECToLfZJlAJLrgAQFxcHGJiYkyXnJwcp2OwlYSkp6cjNTUVqampmD9/PlJSUpw65ojbk43WD0ij0ZiyIYXCfAKRVqtFQkICZDKZ3WOE+Kqz5ytx9oL9D0qJhMPW3dZ73q6YMQISie2XpYRj6CqPgIRr8Sbf3GtgDccx9Okdi9tvmgIAGDigG9LvnuEwQRAEEcdKy3DpZXYmcjaP6TARjhMJUQRE0alOGYEXsMfGXJFtm0rw+O2LsCApF+lz3sH86a/hX0+rcO50hRNn7rje3aIN82Yc6NUtxgPReFvnHibyB6WlpWY9+tnZ2RZt2jpK0LK3wrh6xXidvWOOuCXZUKvVyMrKAmCYS6FSqUzHWv9cUFCArKwsqFQq5Ofnm81utXeMEHfZvu0Ynn9WhdnX/Ruzr/sPXnrhe+zaedyp2zo9bctGw5joMDx41+VWj0k4BllMON555SbMmGqom8EYDN+0OYau3SIxoF8XU/vQEClmXzMeH7y5AFFRFyel3jxvEu7LmOnwo4LjGAYouuGKK0dfjLnFsIvpOkHElMsuQZCNYmCmQFsOHRmXq9hg7dC6wt3IzvgU+3ZcTNT0egErl+/AQzd9gK8WrcKXH67Eih81qK2x7E52hSnjFZBFhdk8znEM8SPj0Lt75082EroMtFtcigPDqJi+COJ8cmqgVwlg4DtwEZpfva1780NCLOc6tWWUQKPRICkpyeJ64xwPW8ec4dY6G95EdTaIs3hewNaiwzhy+Bx27TmBtesOmE3slEgMdS4eejgFc26wPozX8lyp9y7CubJqu+1ys2/A1IRBNo+r1+7Fx1//jeOnDDO/OY7hsslD8cBdl6N71ygAwKkzFdhUrEVTE48hih4YO6ovGGM4f6EK9fVN6NY1CiEh1us+HDhwGvc+8KndGDmOIWPh5UhLnYBDB8/gi8/XYe+eE6itaYC+iYeUMQwa3ANzUhMxY+YIbFq7Hy9nLjX9HgCY5mZAEAGhuWfD+JZjY7iIcQxfrHgSXXtc/MBuqG/CLTNfR01Ng92MThIsBa8XEBIahIwnrsasVPt/r/ZYVXQQT//HMK+k5bsnxzGEBEmx6J83Y3C/bi6/X19Tp2/E1Sv/heom2/M2csffhJReozwcWft4ss7Glt09ENmBOhvVVQISRjpfZyM+Pt5s6WtGRgYKCwsBGBIM42iCTqfD0qVLkZ6eDsBQoHPJkiUoKCiwe8wZlGyQgLZr+zG8/sIPOHumEpAw8A6WXeYv/gcGt6iuac03Pxfh/c9WWz3GcQw9u0Xjm3fvtjtcAhiWzx45fgG1dY3o3UOG2Jhw+w+mDZqaeKTd9B4qK63U0Ghhcf4/MEjR3enzHj50Bt9/tQHrV+1DQ30TeD0PQS9AKuEMS3d5ATJ5BCrKqiBaKUTGSRimzhyJZ/59s9n1f/26DXnZKov2FhgzG9LJei0Vl88a43T8ztq4/Qg++GYNDh69OBE0cXR/PHLbZRgU19Xl9+erdpSX4v7Nn5itSJEwDrwo4K5B0/HQJVd4OULneTLZ2LS7Z4eTjYkjT7epqFd+fj4SExNRVFSE7Oxs0zBKWloaEhMTkZmZCcCQfKjVashkMpSUlCA3N9d0HnvHHKFkgwQs7aEzeOjuj6HXCxAFEXwQB3DM5vwDiYThyqvG4P+emGX3vDwv4OV3foN63T6zHhLGGGKiQvHuP+djoA98IH319Xp8/Mkaq8c4jmHsmH548183Wz3urPq6Rqwt3I2jJWcREhqEqTNHoGuPaGT+4yMcOXjGNJpi/O/AIT2Q98k9iGqVWH3x/p/49uPV9pfXAhbJRvdeMfj018fAce6ZnnbsVBl0VXXo2SUa3btEueU+fN25+ip8X1qEv07vRj2vx4iY3kjrPxFK+QBvh9YmnTnZ8AU0mEYCwsljF7BevQf1tQ3oq+iGKckj8fUna8Hzgqn2Q+sPqtZ4XsTOHY6XVEskHJ5/5BokTxuGH/7YjiPNRb1SLh2O65JHQxbtuh6Kjrhp/iQcKy1DoXoXJBLOVA1TEEQM6N8Vzz0zu8P3ERoWjJTrx1tc/9ZX9+LPZdvw+/dbcOFMJbr0iMZVNyYg6bpxCA2z3DguPCrU5nJhe86eqsDBPadwyag+7YrfkX695OgX4NvCdAuNQsaQmcgYMtPbofgN49yLjtze31CyQTq1xoYmvPXc91j563ZwjIFxDLxeQERMGKoc7N1jjVTqXHVLjmOYljgY0xIHtydsj5BIODyVeQ1mXTUGvy7fjuPHyxATE47kpJGYfuklCHJjJc/QsGBcM28Crpk3wan205JHYPGby9t1XzVVlkNFoihi59ajKN6khSAIGDaqLyZNHQqJ1KvVAEiAEEQGQWx/wtCR23oLJRukU3szW4V1K3YBxlLfxtLSVXUQW60qYIIIkcFm7wbHMUycZHtSpz9ijGHs2H4YO7aft0Oxq0fvWFwxW4nCn7baThBt9Ez17Gs+W/7smQq88OS3KDlwxjBvhhnqinTtFoUX/zUfQ4f1dsdDICSgURpPOo3GBj1OHD6HsyfKDZMrD57Gmt93Wu1+FwVYrK9kLVdQtMKYoSfgOitDAsQzHnrueiRfPw5ghsRP2rIXwkqiwXEMo+P7o3fcxWSjob4JmQ98gSMlhomdPC+Y5oGUXahG1gNf4OwZz9TsIIGrI8teOzoE4y3Us0H8Xn1tA756ZwV++3oDaptLbMcN7oG+Q3qY5iK0xgCwRh5isMT0IcVEgGsSIARxF2ct4uIH20svz0XPnjJPPSzSSlCQFP/38lzcnH4Z1q7YhZqqejQ06PHzt5vAWpQ+BwyrWkJCgnD/U9eanWO1ejdOHrdeplkQRNTVNeKnpZux8CHnKyMS0lY8OPAd+K5vu2C+76Jkw88Igog1O7T4Yc1OHD9XAXlUGK6ZPAJXTRyGUHtFlTqp+rpGPLXgvzi4o9Tsw+Z4yRmUHjoDLjgIkFife8AamiAGScBJWqwYEURwDTxEKYfuvWPQo1cMxo8fgGuuHYcuXSI98piIfb3jumD+3TNMP09LHolP3inEnu3Nk3cZkDBlCO5+9Ar0H2S+bHeVejeYnbk6giBi5YpdWPhQCkRRxI7tx3C4eSXNxEmDIafnACHtEnifTn6sSc/jyf8uw9odh02rBo6eATQHT+DLwmLkP5GKLtER3g7TaSdKzuBEyRlERIdhWIICEicnX7b0y+frcGB7qcWHh6luVGMTEMIAK0sfmQiENvFQXjYMG9cdMCUc3bpHYcFd0zFr9vhOv3NnZzA6fgD+/dlCnDmpQ6WuFl26R0He1foy1JrqBoeTgmtrG7Fv70nkvPwjThwvNy3L5TiGWdeOw/0PX4FgP0jsj53V4auVGiwv2ofahkb06RqD+dPHYu60MQgJ8v34OzOxgxNERZogStzpvz+tx7qdhg28jB+MxvfNY2fK8fSi35D/RJq3wnPakb0n8N4TX2HX+gOm6+Q9YnDb07Nx9e3T23SuX7782/GKEp63mmxwEg5XzFHiwedno7ysGsePlSEkNAiDmodfiH/p0VuGHr1ldtv0G9AVB/aetDq0BhgmzHbrGY0nHvkSjY2GDcQuFjwV8cvPW6FesQtzUyfguhvj0dVGUuNtOw6fwr3vfIdGvR5883tF6Vkd3lCtxoriA/jvw3MRFmy9uixxv0Bc+krvqH6irqEJS1dut7mdBC+I2LL/OA6dOO/ZwNqo9OBpPH5lDvZsOmR2fdmZCrz9yOf47v0VTp+L5wWcOV7uuKEgWixS4CQcunSLwoL7DbUBYuWRGD2uH4YO60WJRic2a47SZqIBGJbEhkWFoamJt1nXo76+Cd98+TcW3rYIhw6edleo7abnBTyxeBkami4mGsDFbW12HjmNRb9t9Fp8JDDRu6qf2F96FnUNTXbbMAZs2ee46JQ3ffLP71Bf2wjBxhv+J//8DpUO9hUx4jiGYBt7fxhJJBzGTFQgrkXJbamUw8xrx+KtJfch1ke/mRL3GD6qL+YYa3u0SkAZYxifOBAHDpyynpAYl07zIgReRE11PZ7PKnBc1dTD1u7S4lxFjc3daQVRhGrtDjQ00dbv3sKLXIcv/oaGUfyEs7WnfLn2fFV5NTb8tu1ixU4r+CYBq77bjKR5k6DdeQychMPgcQMQYqWqJGMM068dh79+LLaZvPC8gLn3XIbEy4fj1LEy1NU2oEefWERG2965k3Ru9z12JfoN7IalX/yN0yd1AIBoWThmpybimhviMe+Gt81vIIqAYMhNzDa8FUScO1OBt99cjrDQIERGhWL6zBHoP8C7peh3Hz0DqYSD3k4PTnV9I05cqICiZxebbYj7CGAQOvBd395uu76Kkg0/MTSuG0KCpHa/jYgiMG6w7xYkKjtTaTfRAABOyuGPz9dgUdZXaGruyQmPCsX196bgtmdugLTVxLbU9Mux+hdDoafW5+YkHBTDeyN+xjAwxtC7P72xEkOSeu0N8Zg1W4mzpyvA8wJ69IqBVCoBrxcQGhqE+voWvYgtnlbWRsqX/7wVUikHQRTx+cdrcFnSCDz5zPUIDvHO22uQhHOqMm6QjVVaxP1ozgbxWRGhwbhh+ihwtjYJ4xhGK3pheH/7O5J6U4wTywb5Jh4lO46aEg0AqK2qx5I3fsFrt79v8Sbaf2hPvPJpumnjLolUYppzMVzZH698lk5zMIhVHMfQs7cMfeLkpjL0EimHq64ZC45rfp2JIiBaTzJa0usFCM272K7+ay/+/fovbozcvqkjB5rN1WiNAejbNQZ9u8Z4LigS8Khnw488eMM0HCg9B82BE6ZaAQwAGNA9NgqvZ1zj7RDtknWLxrgZw7Fj3X6bwx6iKAJ6y5I1oiji75+LUazeiYQU8y3Dx0wajC83voD1K3bi0K7jCAqWYuLMERg6th8tXSVtdsutU7F29T7oymvA68U2f4cURRF/rtiF2++ejt6tSqV7wsj+PTBO0Rs7j5yymnSIAO66IpFeG17U0XkXvB9u1k5f+fxIWEgQPnhsLl6660qMUfRC15gIDO7bFY+mTsc3z9+KnnLfn+x413M3gOMMG6K1JoqiYZmqDZyEw/JPV1s9FhQsxYxrx+Pup67D7Y9fjUvG9ac3U9Iu8i6RePe/d2HipMHtngTFcQzrVu93bWBOYozhzfTroOhlGDY09oZKml9zd6Yk4IYpo7wSGzEwzNno2MXfUM+GnwmSSnDtlBG4dsoIb4fSLpfEK/Dq948hL/0jXDilM/TOGCs68jwg2J7UJvACTmnPejBaEqi694jGP3PmYfOGQ3jmiW/bfHvGMdTWNrghMufIo8LxddYCrNmpxR+a/aiqbcCAHrG4cepoDO7t3QmsJDBRskE8qrG+EZt/LsLZfUcBiQRMIjFM7mxqAgsJARiz2SPBcQyy7tEejpgEsgmTB2Pw0B4oOXTW4eTmlni9gLh+3p2QLJVwmDluMGaOG+zVOIgloYN7o9BqFELs2LpyJ1668Q3UVNQaruB5iC2GTUSeB5PafkoKgojkm6e6O0ziRxob9Vi3ah/WrtyL2tpG9BvQFbOuH4+BrfZE6YjMZ2fj0Xs/RUOD3m5BsJYiIkNw6WXDXRYD6VwCcc4GJRvE7QRBwHPXvY7Ny7fab6jXA1KpaWilJU7Cof+IPph2Q6IbIyX+5Py5Sjz54Jc4XloGxjGIgohtmiP4saAIt/3jUtx+zwzHJ3HCwEHd8f7/7sFXn67FKvVu6PUCpFIOEqkEjY1NEFvkHxzHIAJeXfpKiC+iVwNxq8O7jyH7ipdx4ZTOqfZiQwNYkHGnVhGMGWoGjL98JLI+vtdhxVASGERRxLNPLMGpk4Zy9cYhDuPy0y/+txZ94uRIunK0S+6vb5wcWc/NxmOZ16C6uh6RUaGorqrH5x+vRuHynaZ9VEaP64fb/jEdY8f3d8n9ks5JAEdFvQhxlU+f/xZfvfJd224kihAbGyEyhmGTLkHK7TMw7rIR6HeJ7xYrI563XXMUJQfP2DzOGPDN539j5hWjXLoqKThECnmIoV6MvEskHs28Bvc+fAXKL1QjPCIEMbJwl90X6bx4kYHvwM6tHbmtt1CyQdxC/eXqticaLTAGvPpzJqK7+P5yXuJ5RRtLIJFwNudQiCJw9PB5lF2oRhc3738TGhqEXn1i3XofhPg7SjaIy/E8jw8e/bTdt2ccwxt/vUiJBrFJr+cdl/UEoG+yXbeFEG/hO7gahadhFEKAvRsOoMrJnVtbYhzDzFum4fHF9yI4xHLjNUKMLhne2+FuqzGycHTtRkulie8RRA5CB1aj2NrR15dRskFcTneuss23GaIciJeXZaNLL+qOJo5Nu2wYomPCUF1VD8FK/QvGGOakJUIi9Z8iyaIoYveu4/h12TaUHjuPyKgwzEwagcsuH0ErWzoZ6tkgXnGuohqagycgiCJGD+yJvl1l3g6pTarKa1BZVgVZt2hERIeje7+2VShM/b/rkPGv290UHemMgoOleDEnDdmPfQ29XjDN3WDMMF9jfMIAzFsw2ctROk8URbzzn9+x7KetprkojDFs2azF11+uxxtvLUBXN889IcSdKNnwotr6Rrz27V9YXrTPrFts6sgBeOm2K9AlOsKL0TlWsv0IPntJhc3Lt0EURUikHKbNmYDbX0hFv+F9cGzvCbu3j5RF4KkvH8bEWUoPRUw6k9Hj+uHDzxbi+yWbsbJwN+obmhDXT47r5ybgqmvHmXZy9Qc/fFeEZT8Z6tAYEyfjDsenTurwwjMqvPfhnbTfTychoGMrSpwrLedbmNh6z+5OorKyEjExMaioqEB0tO+N2+p5AelvFWC79pTF+JuEY+jTNQZfZd2CyLAQL0Vo3+4NB5B11Wvg9bzZDq6chENYRAgy8m7Ff9L/a3NcfcKs8XhlWTa9eZKAx/MCFsx7H+fPV9lt9877t2PEqL4eiirweOIzw3gf/9UkIiyy/d/166r1uE9Z5LOfb9b4z4BmJ7N6Rwm2lpy0OtGHF0SUntPhh/W7vBCZY6Io4s2F+eCb9BZbxQu8gLqaBqz4Yg3y1C9AMda8uFGUPBKP/HchXv3laUo0CAFw8kS5w0RDIuFQvOWwhyIixPXcNoyi1WqhUqmgUCig1WqRnp4OmUxmta1KpUJycjIAWLTRaDQAAKVSCa1WC51OB6XS/7vdf964GxxjNmcViyLw49+7cFtSvIcjc2z3+gM4cei0zeMCL2DX3/sh7xWL/K1v4PCuYzh/ogyxPWIwaOwASjIIaUGws9NxS87uy0J8X8f3RvG/fgK3JRtpaWkoLi4GYEg8Fi5ciIKCApttW8vNzUVmZiby8/OxaNEiAEBycrLNc/ibs7oah8uXzlfWeCiatjl+4JTT7foO6YWBo/ph4Kh+bo6KEP/Uq3csIiJDUFNte0t6nhcwYiQNoXQWAhgEZwrF2Lm9v3FLsqHVas1+VigUUKvVVtvqdDoUFBQgNTXVdF1eXh4yMzMBAPHx8SgvN+x/YKtnxB/1jI3CgRPnrC7bAwz1irrLIj0blJPCokKdahceFebmSAjxf8HBUsyeE49vvt5gdRt7jmPo3iMa4+MH4I/CXfjpFw1Kj5chIjwESZePwJzrlehGK1WIj3NLX4xarYZcLje7Ti6Xm4ZEWmuZaKhUKrOfAUOS0ZkSDQCYPWWkzUTD6IaprtlEytUSUsYgONT+hmgxXaMwYvIQD0VEiH+79fZpGDfO0PvXcpSR4xgiIkLw/Es34tkXv8frb/yKfftPo7q6AWfOVuLbgk34R8bHOFRy1kuRk/YwDqN05OJv3BKxTqezen1ZWZnFdS2TCJ1Oh7KyMigUCrPrVCoVVCoVsrKyLHpNjBoaGlBZWWl28WWXjhqICZfEgbMyf0HCMQzsJcecySO9EJljETHhSH30Grttbn32RkiDaGU18Q96XsCJU+U4eVrn8EuAOwSHSJHzr5vwf5mzMHhIT0REhKBb92jMv3kyFn+yEBuKSlBUbJgg2nIBoSCIqK1txDMvfkdzOvyIsahXRy7+xqOfBraSEKOsrCzk5uaaXddyYqlCoUBKSgpKSkosbpuTk4OXXnrJVaG6nYTj8NZ9s/FmwWr8tHE39M1vFBxjuGzsIDxzczLCQ323ZPdtz89FXU09fnzvDzCOgeMYeF4AxzHc+uxcXJeR4u0QCXFIzwv49vvNKPi5GOUVtQCA7l2jcPONE3DDrPHgOM+NjUulElx9zThcfc048xj1PL7/SQNbVQoEQcTZs5XYXKTF5EmDPRAp8TdtWbBhb1FGW87TmluSDZlMZtGLUVZWZjconU4HtVpt0Uar1ZoeqPEBarVas94PAMjOzsbjjz9u+rmyshJxcXEdeyBuFhYchGcXJOPB2VMNy2AFAaMG9ESPWN8ff+U4Dvf+6zbc+PAsrFyyHrqzFejaR46ZN01FbI8Yb4fnlLIL1di65TD0egFDh/XCwEHdvR0S8SCeF/DC6z9h3eZDaPk5fvZ8Fd5e9Ce0R87hiQeu8PrqqVOnK1BZWWe3jUTCYdeeE5Rs+AlBZBA6UtSrjbdty4INe4sy2nKe1tySbCQnJyM/P9/i+oSEBJu32bJli9Vlr0lJSaYJokat54MAQEhICEJCfLMAliOyyDBcPnaQt8Nol+5xXTD/ieu8HUab1Nc34b03f0fh7zsg8Bc/ZUaO7ousF2ajV2/anyUQrFp/AGs3HbJ5fNmKHUieMRzjR3t3JZWzvSsSif+tUAhUQgeHQoQ23LYtCzYA24sy2nqe1twy8NO610Gr1SIhIcEUuEajsQhco9FYJBEKhcJsWEWtViM1NbXTTRYlniOKIl7KVqFwuXmiAQB795zAoxmfobwdO9YS//PT8q12P8glHMNPy7e5PY66ukZs23YUWzVHUFVl2YPRq6cM3bvbrxLJ8wKU4we4KULiasZdXztyAWAxT7GhwXL5dFsXbADWF2W05zwtuW3ORkFBAbKyspCYmIiioiKzrpacnBwkJiaalrcatU5SZDIZEhISkJeXB5lMhpKSkk5TZ4N4x9Yth7Flk+WcHwAQeBG68hr8sLQI/7j3cg9HRjzt6PEyu5NBeUHEkdILbrv/xkY9PvnfGvz0kwYNDU0ADPM2rrhyFO67Lwnh4YaeWo5juCl1At75wPq3SAnHMHBgN4wd7dvDxsT1Wk8VeOGFF/Diiy+aXdeWBRvG9iqVCgBQVFSEjIwMKBSKNp+nNbclGy17JVovZbWWMLROPIyUSmWnqBjq684cL8PZkzpEx0ag3+DuXh+ndhf17ztNu2paIwgifv9lGyUbASA8LBjlulqbxxkDIiOcqynTVoIg4qUXf8CmTebzRfR6Hr8v34GSkrN4661bERxseIuec70SR49dwE+/tNwV1lBpuHuPGLzy4txO+5rtjHgw8B0ozGW8bWlpqdneKG2ZSmAreXB2UYaj87RGaxMDXMmeE3j/hR+wd+tR03X9h/bE3VnXIHHGMC9G5h5lF6odLhGsrLA/GY90DikzhuPzpRtt9m6IIpA03T2vgU2bDmHjRuvzRQRBxP59p1C4YheuuXYcAIAxhkceTEHSzBFY9us2HDt2AZGRIbj8suFIumwEQh3UvSG+peVQSHtvDwDR0dEON2Jr64INW4sy2rPwoyX/W6xLXObvFbvw0I3vYu+OUkAiMVw4DkcPnsEL9/wPa5fv8HaILtetezQkEvtPe3kX36zcSlxr9tXjEBkRYnXehoRj6NEtClde5p5aN8t/2253vghjwLJftra6jmH0yL54OvNafPjeHXjj9ZtwzVVjbSYaoijiyLHz2L77OE6frXBp/MR/GPcda83agg3joozW5HJ5m85jDfVsBKjj2nN49ZGvDN/qGDPv0GMMoijgvee/w6SkEQgK9q2nSVVFLVb8tBVFa/dD38Rj+Nh+mJWWiF59LVcptXblNWPx+y/bbR7nOIZZs8e7Mlzio7rERuLtV29C9ivf4/TZSlMSyvMC4vrI8fpzNyI83D21bk6dqrA7X0QUgbNn2p8gbNhSgg8/W43Dxy7OORk/uh8evudyDBpAS7y9jQc6OIziPGcWbMhkMigUCruLMqyVpWh5Hkd861OEeESVrhZP3rEYAmNAkBQQRcO4sSAYxn1FEWAcKstrUbR6H6akjPJ2yCb7dpTimfs+Q211g6nI0Z7tx6D6bB0efWEOrrzB/i65I8fEYUbSCKz5aw9a10jiJAw9esRg9lznMnXi/wYN6IZv8hdik+Ywdu45AY5jUI7pB+WYfm6dAxEbGw6OY3YTjhhZeLvOvfLv/Xgh72e0Dn/77lLcl/kVPshdgMEDKeHwJlcNozjL2QUbjhZl2DuPI0y0VZbOz1VWViImJgYVFRUOx7QCyanSC7h3zrtoqG+yPCiKhoSj+RnBRAELs6/DDXdd6tkgbaiurMMdV7+JupoG62/SDPj35+kYMdZ+XQS9nscn+avw03dbTL8HxoDJ04bikcxZNIxC3K6wcBdez1lm8zhjwMKFl2P+TZPadN7GJj1uvPO/qKyut3qc4xjGjOiLd169qU3nDQSe+Mww3sezG69AaGT759nUVzfhlUkr/OrzjXo2Agiv5/HognzriQZgeIfjOIi8ANbc2xHdzm9X7qBetg211fUWPRJGEo7Dj1+sd5hsSKUSLHwgCQvunIbdO4+jqYnHkEt6opuDWgaEuMqMGcOgKtgMrfasReIskTB07RplmhzaFhu2aG0mGoBh8um2XaV4+c1f8OSDVyI0hCaWekNHN1Pzx43YKNkIIKt/34mKCzX2GzEG45o6iZTDpOQRngnOCcV/H4S9bjieF7B53QGnzxceEYLESa6t3Nqo51G46yB+LN6Ns5U16CmLxI0Jo5A0YjCkDiamksARHCzFv964Gbmv/2KxKmX48D545tnZiIxs+7Lb02crHA7PAEDhmr3YqNHi6w8XIiYqrM33QzpGBIPQgTkbYgdu6y2UbASQP34sdq5h8/N47j0zEOFDb0Q8z8NutgFA8OLOl9X1DVj4v++xo/Q0OMYgiCK058qw7sBRJAzsg//eeQPCg+mbJDGIjg7Dq6+l4fjxMmzbdhSiIGLEyL4Y1IE9eqIjw5zetbaqugGPPPMtPn3nrnbfHyHOomQjgFRX2u5eNSMCIxMG4M7Hr3JvQG00fEw/bNuktflmynEMw8Z4r4riiz/8iV3HzwAAhOaxHuN/NUdO4vVlq/DPubQbLjHXt68cfZ1YSeWMaRMHIyhIgqYm59YraI+ex4lT5ejTi/YD8qRAHEbxv4hJu/VTdHOq3eXXjkXuFxk+V5HwqrkJYHZqEwiCiDkLJnswootOV1Thj50HTMlFa4Io4ifNHpTXUMEwd9DzAv7ceQgvLClE9tfL8flqDSpqnUyuO5GoyFDcltqGSaWiiC9Vm2xuX0/cw7jra0cu/oaSjQBy1Y0JDv/icYpuyHrjJoeFr7yhW88YZL6WBo5jZvFxzbtd3njbFEy+fLhXYtMcOWkz0TDSCwK2Hj3poYgCx4myCszJ+wyPfroMP23ZjeVb9+ONZasx86VFKNxx0Nvhedwd8yfjrpunOP1l4dc/duDO+/6HI8fctw8MMcc37/rakYu/8b+ISbuNSRyIGVePsflXD4sMQd6n93g2qDaacdVovPPNfbh81hhExYQhPCIEYxMVePGdW7Hwiau91hvjKNEwom+QrtWk55Ge/z2OlxkKYPGCCF4wrKRq0vN44vNfsevYaS9H6VmMMdx101Q88+jVzjQGRODY8TI8lPk1zl+ocn+AJCDRnI0AwhhD5mup6NO/C374Yj3qqg3bETOOYeKMYXjytVRERLln4ylXGjy8N554NdVxQw8a168XGOzPX+UYw5i4np4KKSD8uesQjp3XWT0mAuAY8MnKLXjzjms9GpcvSJkxAu8s/sv2Ulhj4isakuXq6np897MGGXfN8FyQAaqjQyH+OIxCyUYndO5cFX5ZpsG6dQfQ2Mhj2PBemD07HqNG9YVEKsHtDyRj/t0zcHDPCfC8AMXQnoiK8Z16Gv6orzwG04cNxLoDR8BbmcAqYQxXjB6CbtFUMMyVVu7Smlb+WMMLIv7aXQJRFH1uDpK7Mcbw7ms34Z7Hv0CTvtWEUePvizctPjPseKzeRcmGBwjgIHRgYKEjt/UW/4uY2LVjRynuvCMfX3+9AUeOnMfJk+VYvWofHnn4C3zyyRpTu5DQIIxSDsDYRAUlGi7yytwr0K9LLBguvoEb/zu4Z1c8N8dygyPSMQ16vcOhKT0vOD3M1dkM7N8Nqo8zMH3SkItXiqKh20cPU7Vgo2o7BcEI6QhKNjqRmpoGPPtMARob9WbLQ41bqn/5xd/4+2/ni16RtpFHhmPJAzcj+7rLcUmvbugSGY7hfbrj+Tkz8dW98xET5vtDVP5maK+udnssGICB3WMh4QL3rS5WFoFXsufg6hkjIRFgSDJa9GgYMQA9qIquR/Ai6/DF39AwSidSWLgLNTUNNo9zHEPB0s2YOnWoB6MKLBEhwVgwZRwWTBnn7VACwo0TRyG/cJPN4yKAW6bRLr4AcN3VY/G7epft2pMMuH7WOA9GFLgCcc5G4Kb7ndCO7cfsfssTBBG7dpU6XWGQEF/XUxaF51INw1Nci+c+g2GhxaXDByJ10mgvRedbRg7rjVlXWP9dcBzDYEV3XH/1OM8GRQIG9Wx0IoZhaUokSGBJnTQafeUx+HhlETYdOAYRQB95DBZcOg43TR1He9I0Y4zhyYevQp9esVjyfREqqwwF5oKCJLgqaSTuu+dyhIZSOX1PEDu4xbzohxVEKdnoRMaOjcOaNftsHuc4hhEj+4CzU4WTEH80aWg/TBraD016Hk28gLBgacCtPnEGxzHcOn8S5t+YiEOHz4LXCxjQvysiI0K8HVpA4cHAd2AztY7c1lso2ehEklNG4eOPV6O+vsnqUIkgiEhLneCFyIizapsa8fvRgzhdU4UuYeG4qv9QxITQxFJnBUklCJJKvB2GzwsKkmD40F7eDoMEEEo2OpHIyFC8+moanspeiqYWK1IkEg48L+DWW6dg2qWXeDlKYss3+7fjn5v+Qq2+CRLGwIsinttQiEfGTcX9YybSN3VCOglB7NgkT3+cdkfJRiczZmw/fPppOpYt24p1a/ejqYnHJZf0wuw58RjjxR1RiX0/lOzGU3//YfqZb64L0cDzyCteAynHIWM09UoR0hkIHZyz0ZHbegslG35Kr+exRlOCfdozCJJymDx2IEYO7gXGGLp3j8bdd8/A3XdTJUB/wAsCcovW2G3z1ta/cduwcQgPCvZQVIQQdxHAIHRg3kVHbustlGz4oZ0HT+Kp//yMCxU1kEo4iKKIj3/YiFGDeyH38dnoEhPh7RBJG2w9dwqnau1vgFWrb8LK44dxzUAaBiOE+B//64sJcKWny/HQawUor6wFYCjFbNyLY6/2NB7OUUHfeh8E4tMqGupc2o4Q4tsCsYIoJRt+5pvlxWjS81b3euAFESWl57FGU+KFyEh7xUXJXNqOEOLbjHM2OnLxN/4XcYArXL/P6q6iRhzH8OfG/R6MiHTU0NiuGN2lh1kFzJYYgF4RUZjSq59nAyOEEBehZMPP1NY32j0uCCKq6+y3Ib7n1SlXIIjjLBIODgyMMbw+9cqA3kyMkM5EADPtj9Kuix9OEKV3Lz/Tp4cM9sotSDiG/r1iPRcQcYmx3Xrhu2sWYEKPvmbXj+7aA19fNR+X9VV4KTJCiKuJzatR2nsR/TDZoNUofmZu8ji89eVKm8d5QcTsy8d4MCLvOV1eBdXfO7Bx3zGIooiEIX2RNm0M+naVeTu0dhndtSeWzLoZx6srcLqmGl3DwjEgmhJHQoj/c1uyodVqoVKpoFAooNVqkZ6eDplMZrWtRqMBACiVSmi1Wuh0OiiVyjafJxDMmTkGf206gJ0HT1qdJHrH7IkYFNfVC5F51ppdWjzx8S/Q84Lp97D3+Fl8uVKD1+64Glcq/XeJaN/IGPSNjPF2GIQQNwnELebdlmykpaWhuLgYgCFhWLhwIQoKCqy2zc/Px6JFiwAAycnJZu3acp5AEBIsxdvZc/G/7zfi+z+3o7q2AQDQt4cMd1w/AdfOGOXlCN3vxIUK/N9Hy6DnBbM9bo3l2Z/+bDkG9+qKQb26eCdAQgKA2JzkUxn9tqMKoi6i1WrNflYoFFCr1Tbbx8fHo7y8HADMei3aep5AERochPtvuhT3zJ2MU+cqESSVoFe36IB50Res2wFeFGFve4Bv12zDM/OTPBYTIYGieMMhfP2/Ndi99RgAEX37d8XtGZdj+hWd/4sOaT+3pEdqtRpyudzsOrlcbhousUYmk1kMj7TnPJ2Rnheg5wWL64ODpOjfW47e3WMCJtEAgPV7jljd1daIF0T8veeI5wIiJEAs+XQtnn7wC+zSHIUoihBFoPTIebyaXYB/PvGtt8PzGx1aidLBIRhvcUvPhk6ns3p9WVmZzfYqlQoAUFRUhIyMDCgUijadp6GhAQ0NDaafKysr2xa0jxFFEWrNQXxZWIydh08DAMYoeuG2lHgkKYd4OTrv4q3MVbFoI1gmZ4T4utIz5Th6uhzhocEYM6gXpFKJt0MyObTvFP73ru2e5b9X7kXB538j7fapHozKP9HeKG5mK3loOelToVAgJSUFJSW2q2BaO09OTg5eeuklF0TpG979YR0+/WOLWd2FXYdP48n8X/CPqyfgwTmB+4KOH9wXR86U2SxuJuEYEobQDrfEfxw5VYacz9TQ7D9uui42Kgz3zJ6MtJljfaLnsuDzdQ7bfPvJGko2nBCIE0TdMowik8kseh/KyspsriJpOTfDuOpEq9W26TzZ2dmoqKgwXUpLSzv8OLyl+MBxfPrHFgAwW3Fi/Pf/lm/G1kMnvBKbL5h/6VirK3GMeEHETdPHejAiYo0gCmjgG00TCYl1pWfKcdcr32D7QfPXdHlVHf715V/45JfNXorM3PbiIw7bVFfW4+wpndtjIf7HLclGcnKy1esTEhIsrtNoNEhKspzIJ5fL23SekJAQREdHm1381dJV2yHhbGeuEo5h6artHozItwzq1QXP35wCxmD2ezL++8m5MzB6QC9vhRfwSmtP4e0Dn2H+hkdx08bHcOfmLHx9dBlq9LXeDs0n5f+wAXX1jTZ76hb9uB4XKmo8HJUlZ79LV1XShoGOeHrOhlarRV5eHlQqFfLy8myOMrSWlZVl1laj0ZjmTGq12jbNn3RLsqFQmFc71Gq1SEhIMPVIaDQaU2+GQqFAbm6uqa1arUZqaipkMpnD83RGoihiy/5S8HoREHDx0uJ9iBdE7Dly2ksR+oYbJo/Cl0/cjKvih6FLVDjkkWFIHjcEnz42HwsuU3o7vIC1t7IET2zPxZpzW6AXDbsPV+pr8N3xP5C141+obKr2coS+paauEeqi/Xb3OxJE4PeN+zwYlXXDRvV13AhA1+7++0XPUzydbKSlpSEzMxOpqalITU3FwoULHd5Go9EgLy/P7Lr8/HzEx8eDMWaaW+kst83ZKCgoQFZWFhITE1FUVGRWGyMnJweJiYnIzMyETCZDQkIC8vLyIJPJUFJSYtbW3nk6G1EU8c/PCqFr/mZgfDqJpv+7eGVIEBV/HdmvJ169/Spvh0Ga8aKAN/b/D02CHq0XJgsQcaruPL448hMeGLLASxH6nvKqWruJBmDosTtTVuWhiGxb+OiVWL/KftITP3kQYmIjPBQRcUZ7S0hotVqLZMJWmQpnuO0Tq2WPRWpqqtmx1gmDUqk0VQxty3k6m+Wb9uHnv3cDMO+yZDBPODiOYWaAr0ghvkdTvhtljTqbxwUIWHVuM+4ceCMipGGeC8yHRUeEgjHA3rQWQRQRGxXuuaBs6B0nx013XYpvP1lr9XhoWBBuuHkSLpytRBfq3bDLkxNE7ZWQsPW5q1KpkJqaiqysLItj7R1ZoK/HPuS979cZ3nWszDw3JhwMQGiwFHMvHe3p8Aix60jNcUjAgYftZcd6UY9TdWcxOKq/ByPzXdERoZg2VoG/dxy2WTtGFERcNWmYhyOz7q4HkxE3sCsWv7UCurKL80hi5RGoOl+F5+79DAAwfGwcbnsgGcrJg70Vqk8T0bHlq8ZnSusSDyEhIQgJCTG7rj2lKGwlFLbKVDjD/2qedlKFRfsNXaUOlrhJGMP7j9yIbrJID0VGiHOCuSAIduu6NreTBHkgGv+RccMUSCWc2TL3luYlj0Ovrr7TU5B8zTh8u+JJ5C+5H8/lzYMsMgRV56rA6y8mmft2HsczGZ9gzR87vRhp5xcXF4eYmBjTJScnx+nb2kpCli5danNxRnp6umnex/z585GSkuL0/VGy4QNEUcTHv2xyON2bAZg6aiDGDurtkbgIaYsE+WiLuRqtdQuRo29YTw9F5B8u6dcdHzyZhj7dzDffCw6S4K5rJ+Cxmy/zTmB2MMYwYHAP/L1iF6oq6sC3qnAsCoZnwlsv/ICG+ibvBOnDXDVBtLS01KzkQ3Z2tsV9taWEhFqtxrx582zGbatMhTNoGMUHXKiowaET55t/sj6MYjR9nPOzfwnxpD5hPTBRPhZFZTts9nCk9r0KHKPvOK2NHdIb371+F7YeOIEjp8oQERqMqWMGIjI8xPGNvaSqog5rVuyCYGUrBQCACNTWNGBd4W4kXTfOo7H5OlfN2XCmzENycjLy8/MtrrdWQgIw9GwYabVa5OTkYP78+QCApKQk0wRRo9bzQWyhZMMHNLV+sdqYtxEaLMVVE3xj7JYQax4Zcjte37cIOyr2Q8K45oJeDAIEzIu7Gik9png7RJ/FGIPykr5QXuLcElNvO3uq3GzoBMDFma7GyexSDiePnQfxHmdKURhLTbQePsnIyDDbPsRWmQpnULLhA7rFRCA6IhSVNfUXvw9amZ5+9zUTEBZC493Ed4VJQ/HiyIewt7IEa89vQbW+Fj1CuyKp+2T0Cuvm7fCIC0VEhppfIRpqA5lWzwEQmwSsXb4TN9w2FZHRtALJyNPlyp0tRWGk0+mwaNEiAEBubi4yMjKgVCrtlqlwhImdtJZwZWUlYmJiUFFR4dPVREVRRNHeUvznm1UoOX7eMEuZwWw2DWNAVFgIfn8zg+prEEJ8xgPz3oN232mIggDjIqTWH4Mcx3DJ2Di88UU6OM53h9A88ZlhvI9pPz8AaUT7h8j0NQ1Yd/37Pv/51pLv/uUDQGOTHo+/9SMezFPh8IkLhq8DIiARAE4PMBGQcgxBEgly77uOEg3idqIoQi80QBD13g6F+IHbH0w2DJU1f2W19n1bEETs3XoMmr8PeTQ2XyaKrMMXf0OfXl70n29WY/2OIwBgWmPf8ikkAcPVk4bj1isTMLhPV88HSAIGLzZhr+577ClXoVp/Cgwc+kZMwhj5regRNsbb4REfNXH6MDzxWirezLLfnc5JOKz6bTsSLh3qociIr6GeDS/RVdfhp9U7be6IyQBIwfDovBmUaBC34sUmFJ54EpvPvYdqvWHPHRECjtdswq+lD0Bb6bi0MQlcSdeOc9hG4AXUVNa7Pxg/IYB1+OJvKNnwkq37jkNva8lYsyZewNb9xz0UEQlUe8pVOFlbDNM4XjMRPAARa06/inq+wlvhER/HGEO3XjF223ASDj3jnFsiGQg8vRGbL6Bkw0scJRptbUdIe4iiiD06FWCnGJcAPQ5W/Oa5oIjfuWb+RDCuxQegKAK8YLoIjXpcOKVD2dlK2ychnRolG14yfGAP59oNcK4dAfSCgBWl+/HkhmV4cN33eHfnOpyp9f5umb5ML9ahRn/GbhsGhrIGmtxHbLt+wWQMGNIDnKR5Vzkr+7ys/X0n7rj8dRzYSb21gThBlJINL+nbXYaJo/pDwll/0kg4hkmjBqBvd5lnA/NTp2orMeu3xbh37Xf48cguLD+2H2/vWotpP72HJYe2eTs8n8WxIDiskw8GCQv2RDjET4VFhOBfn6fj6rQJdrd30usFZN6WD0EI7B5bGkYhHvXc3VegW2yUxQZMHGPoHhuF5+6+wkuR+RdeEHDnym9xuMpQRpcXRYgQIYgieFHE05t/w7rTh70cpW+SsCD0CU8Es/NWIIJHv8hpHoyK+KOIqFD84/GrzEfkBBHQ80CT3nDhBTTUNuKXrzd6LU7iHZRseFH32Ch8/tIC3DNnErrLIxEk5dBDHol75kzC5y8tQLdY2tnVGatPaXGw4jx40fq3JcYYPty93sNR+Y8x8lsh2tgWnkGCmOAB6BsxycNREX905OApiMYhFF4AeN68GrIgAHoey78J7GQjEIdRqM6Gl8kiw3DP7Mm4Z/Zkb4fit/48cRBSxkFvI9kQRBHrzxxFvb4JoVIq995ar3AlLu3xDNadeR0Xv5YyiOARHdwXV/X5Nzgm8WaIxE8Ixr1SBMFwseHo/lOoq2lAWAeqaPozsYNDIZRsEOIFjQLvcGtzY7tQULJhzZCYq9E3YiIOVP6K8oYSSFgI+kdeir4Rk8Axepsgzhk6Js4wBcjBnAxREPHFf/5A+rPXeyYw4nX0LkL8RpPAo16vR0RQsNk8lxGy7vjewRY/vcKjEBUUmN+inBUmlWOs/DZvh0H8WHBIEEYnDMTO9QftNxRF/L5kY8AmGyKs7rXZptv7G5qzQXzenrIzeHDNjxj29ZsYveQ/UC59G//auhqVjYaKhDcqRiOYk9pcU8EA3DE0EczeNHlCiEs8/fYtTrWrq6zDge1H3RyNb6IKooT4mPWnj2LO8s+x/Nh+0wRQXWM9/rt7I25Y/gUqGuoRExyGf0+5HowxSFokFKz5MqXnANx5SaJ3HgAhAUbWJQqx3aIcf3XneXz9n989E5SPCcQJopRsEJ/VJPB4aO1P0AsC+FZvXIIo4khVGfK2rQYAXN1vGFQptyO5z1BImOFp3TdChmeUyfh4xnwES2iCIyGeMjllJGwW3DC+lnkeW1fvtbk/FOlcaM4G8Vnq0oO4UF9r8zgvilCV7ES28jJEBoVgXNc++O/0uRBEEXpBoASDEC/5R9Y1+O3zdYBUakgujImHMbFobDT8p74JJTtLMXhMPy9F6h2CyMA60DtBRb0IcaG9unOQMvtP0QZej9Jq803COMYo0SDEiyKiwtCtZxTQ0GBYmSKKzTU29Beva3b+lM57gXqJKHb84m8o2SA+K1QiheDEvOtQCXXQEeJrZi2YakgqGhuB+npDkqHXW3xSxnSN8lKExJMo2SA+K6XvEAh2UngGYGCUHAOiYj0XFCHEKTfem4TgUPt1bXr064JLxvf3UES+gyaIEuJDhsi6IrnvYLMVJi2JAB4eM4WWtBLig4JDgpDxz1S7bRa+cCM4LvA+hijZIMTHvDXtOkzsYZg8JmUcJIyBYwwMQNb4y3CDYpRX4yOE2Dbrtml4KO9mRMaEmV0v6xqF7Px/YOqscd4JjHgcDXa7mV7P4+dVu1BQuBVHT5QhOFiKmYlDcMs1CRjcr5u3w/N5kUEh+Cr5Jmw5dxzLjuxFVWMD+kXJMG/wGPSJiPF2eIS43YnzFfh+3U7sKz2LYKkE00crcFXiMISF+Efp/Vm3TUPyvIkoXrkH5eeq0LW3DMrpwyENCtxJ3IG4GoWJnXSRc2VlJWJiYlBRUYHo6GivxKDX83jy3z9iw/YjYLhYYlbCMTDGkPf4HEwZN9ArsRFCfN93a3cg55u/AAYIggjGDPMru8ZE4MNH5kLRq4u3Q+w0PPGZYbyPoV89BUl4+7dP4GsbcGDB6179fGsrGkZxo29/12DjjiMAzGvZ84IIXhDwzLvLUFvf6JXYCCG+rWh/KV79+k8Iogihedt241fDsqpa3Pf2d2ho0nsxQkKc57ZhFK1WC5VKBYVCAa1Wi/T0dMhkMqttNRoN1Go1AKCoqAiLFy82tdVoNAAApVIJrVYLnU4HpVLprrBdRhRFLP1DY3M9tCgCdfVN+OPvvbghaaxngyOE+LzPCrdAwjHwguWbiCCIOFdRA7XmIK6ZONwL0ZGOMNTK6MgW8y4MxkPclmykpaWhuLgYgCHxWLhwIQoKCqy2VavVyMzMBADk5eUhKSnJdNv8/HwsWrQIAJCcnGzzHL6msroeZ8uq7baRSDjs1Z7BDUkeCooQ4hcEQcTGPUftLv3mGMP63Uf8LtlorG/EyqUbseLLtSg7rUP3uC646o4ZuPSGREiDAmMaYUdXlPjjahS3/GW1Wq3ZzwqFwtRz0ZpGo0FOTo4p2UhNTUVWVha0Wi0UCgXi4+NRXl4OADZ7RnyRVOrc5KcgKY1kEULMCaJoN9EAABEimnjeQxG5RmVZNbJmvQ7tzmNgHIMoiDh9+Cy2rdqDZYv/xKs/PIGwyFBvh+l2Ijq2Tbwfdmy4Z86GWq2GXC43u04ul5uGRFpSKpVYvHix6WedTmdqbySTyfwq0QCAiLBgjBrcC5ydGhA8L2DqeIUHoyKE+AOphMOQPl1t7mVmNKJ/D88E5CL/vu8jHNlzHAAgNg8PGeej7N14EB9mfeW12Ih7uSXZMCYMrZWVlVm9PjX1YuGXJUuWIDk52ZRc6HQ6qFQqqFQqU4+HNQ0NDaisrDS7eNvt10+w+e1EwjEM6C3HxDEDPBsUIcQv3DxzvM2xeQYgSCLB7MkjPRpTR5w+eg4bftVA4AWrxwVBhPqrdag4X+XhyDyPinq5ma0kpOVxlUplNi8jPT0dqampSE1Nxfz585GSkmL1tjk5OYiJiTFd4uLiXBl6u0yPH4yHF8wAA8BxhieHsaejZ7cY/CdzLiQBWD2PEOLY9ZNG4urEYQBg1kMq4RgYx/DqP65GbFS4t8Jrs11/H3DY/69v4rFvS4lnAvIm0QUXP+OWORsymcyiF6OsrMzhUEhWVhYKCwvN2mm1WtPqE+PKFuN8jpays7Px+OOPm36urKz0iYTjllkJmB4/GD+t3IGS0vMICwnCZYlDcFniEAQ5Oa+DEBJ4OI7h5TuvwpSRA/Dtyq04cPwcgqQSzBgzCLcmKzG8n38NoThb0qmTln4KeG5JNpKTk5Gfn29xfUJCgs3b5OXlISsrCwqFwtQDotVqkZSUZJogatR6PggAhISEICSk/UVS3KlvDxkeuGm6t8MghPgZjmO4ZuJwv1txYs3IyUMctuEkHIYlDPJANF7W0aEQGkYxaN3roNVqkZCQYFY7o+XcC5VKBaVSaUo0li5dCplMBoVCgdzcXFM7tVqN1NRUv5ssSgghga63ogcmXjUOnMT2x44giFj9/WYPRuUdhjobHbv4G7eVK9dqtcjPz0diYiKKioqQnZ1tShLS0tKQmJiIzMxMaLVaDBpknsnKZDJTb4ax4JdMJkNJSYlZ8mGPL5QrJ4QQcpHuXCXSE59GxTkbE/glEnASDl/sfgNde8d6NDZPlisf+Mkz4MLbv8RXqK3H4bte9avPN7dVUGnZK9FytQkAswmgCoXC7hidUqn0i4qhhBBC7IvpGgVOKgU4DhBarErhOIAZ9oxiAFZ8tQ63PHmd1+J0N08X9WpLRe+WsrKyzDoK2nsegHZ9JYQQ4iH1NQ3QnasE4zhDgmENYyg9cMqzgXmayDo276KNt21LRW8jjUaDvLw8ZGdnd+g8RrTukhBCiEcEhUjtztkAAMaA8ACoIuopbano3fp2Ledftvc8RpRsuEllVR1W/70fa9cfQGVVnbfDIYQQr5MGSTH5mvGQ2Ek4eL2AabNtr1zsDDw5QbQtFb2NVCqVxfSH9pynJRpGcbGa2gZkvfAddjaX5AUM1f7Gj+2H1567EWFhwd4LjhBCvGz+Y7Ow8betYIxZzNfjJBwuUQ7EuBn+v9TXLhdtjtK6Ura1EhBtreit0+mszsNo63lao54NF2pq0uOWexZj5+7jZteLADTbjuG2ez+GXu9fGycRQogrDVUOxAvfPIzwKMNQiTRIAknzhpQjJw3GP5c+AuZoUxg/56py5XFxcWaVs3NycpyOwVbysHTpUiQnJ3f4PK1Rz4YLLfp0DXQVtYaujNYYcO58Fb5cshF3Lpjq8dgIIcRXTLhiDL7a/2+s+b4Imwp3oLTkLDiJBFHdZdi56RAmpoyGhCosO1RaWmq29NVaYcu2VPRWq9WYN2+e1ftqb2VwI0o2XOi3wp0O2/z421ZKNgghAY+TcFi/Yic2rdgFTsJB4AWUHjqDDb/vwIgJCrz89YOde6KoCypcRUdHO6yz0daK3kuXLjX9W6vVIicnB/Pnz29XZfCWKNlwodraRodtqqrrPRAJIYT4tk9f+wmb1bsAwLQTrPG/+4oP490nv0bWf//htfjcyZN1Npyp6G2s2N16+CQjIwMZGRkW57B2HkdozoYLSSSc/WxVBG2+RggJeDWVdfj1s7UQBetvmAIvYvVPxTh3stzqcdI2BQUFyMrKgkqlQn5+vlltjJycHKhUKrP2Op0OeXl5AIDc3FzTihN753HEbeXKvc0b5crn3vY+zl+oNiwUt+GyaZfgpezZHomHEEIcEQQR1dX1CAqSeGy13Ja/duO5W9532O6Jd+9AUtpED0Tk2XLlcR++AC6sA+XK6+pReu9LVK48EB0+cg7nz1YDEhgWQbdOOEQADHhw4UxvhEcIIWYaG/VQLd2Mn77fggsXqgEAY8b1wy23TkFComW3uSsZh0tMWlYUFUVDKXNRBK8XLG/cKTBYX0nQltv7FxpGcZEV6t0IknBAy5WtZtVXRAQBkMdGeCE6Qgi5qLFRj+wnv8UnH602JRoAsGtHKZ564lv8umyrW+9/8Nh+4CTM8KUsKAiQSAz/NiYdzdcNHd/frXEQz6Fkw0XKymsAUQQHgPEAePFi4Ra9CMYDvF50ahIpIYS4008/FGPH9mMWRbWE5jkU7/znD5w/X+W2+5d3j8HUWeMAaXPnOmMXe4ON/5VIsH/7MbfF4FWiCy5+hpINF+naJdL0bwaAEwFOaL40XxcSIkV4OFUQJYR414/fb7Fb8loURfz+23a3xhA/c5R5ktEaA77LX2l3V3C/RckGaa8rU0aBtzGzGgAkHMOVKaPt7glACCHu1tiox5nTFQ7bHTl8zq1xHNx13FQ51CoRKD10BlW6WrfGQTyDPvlcpF9cF8y+brzVYxzHEBkVigXzJ3k4KkIIMSeVSsBx9icYMgaEhAR5KCL7OmfPBuv4xc9QsuFCD9+fgjtvm2axfGz0qL54/z+3oXt3/1iiRAjpvDiOYfLUIZBIbH9g8byIqZcOdWscoyYoHK42iYgJQ3QnnFTvyV1ffQUtfXUhnhfQv08spk8YhHPnqtCjVwyuu16J4cN6ezs0QggxuemWydjw90EwZvnBJZFwiOsnx8RJg90aw9SrxyI49Fs01jfZbFNT24RTpWXo3a+LW2PxOBft+upPqGfDRY4fL8Mdt36Il1/6EX/9uRs7th/DiuU78PjDX2L9+oPeDo8QQkyGj+iD5166AUFBUjBmSDCM88n6D+iK19+42e3zy0RRBM/sVFTmOLAgKf76UePWOIhnUM+GC9TXN+GJx77ChTLDenWev5h2NjXp8eJz3+G/+Xdh0OAe3gqREELMXDp9GMZ/PwCFK3ZCW3IWwcFSTJoyBPEJAx3O6XCF6sp68KIIhAQDPA/whkJe4BggkQIcA8cxXDhb6fZYPK6j8y78cM4GJRsusGrlHpw7Z31NumF8TYSqYDOysq/zcGSEEGJbZFQobpib6J37jg6FVCqBXs8b6m1Y+TQSRaBLJ5zrxkTDpSO39zc0jOICq1buNfyDF8CaBLDG5ovekKkLgoi1a/Z5N0hCCPEhwSFBmHHtWHB2hmsEQcDMOUoPRkXchXo2XOB46QUwvQDWamK1KABMECFKRDQ06L0THCHEKyoa67Dk0Hb8fHQ3KhvrMSSmK24ZosTlvQeDs7NZYyC55cFkbPhzD+prGwzDzxLOsO5WEMAEEdffOqXzTQ4FAnKCKCUbLlB+rtoi0QAMVUNFGMqXS8OoE4mQQKGtvICb1V/ifH2N6XPhVG0lVp4swXX9R+Dfk6+HhKP3hN79uuDNb+7Dsw9+gbPltWbVRMPDgjH12nHeC86dAnDOBj3bXaCpvslmomnc24/rrJsXEkLMCKKIhasLUNZQa/a+wDevMV12dA8+3rfZO8H5oD8Ld+Gsrs6ibHltXSOeyPgMu7Z10v1RAgwlGx0kCIJhuMROGxGG4RRCSOd1vqEKu3Wl+PHoNhyuKjMlF9b8b99m8AJ9A6muqseSz9bbbfPCE996KBoPCsC9UWgYpYP0DirgGYg+U/qXEOJaR6rP4e19y/H3uf0Qmz8FZFEcauqC0aS3/hZ7tr4apTU6DIiSezJUn/NZ/kqHbaoq63FUew79Fd08EJGHBOCcDerZ6KCgIInNTQuNGBj6D+xELxQfxYt67K/ciHXnVNh84RdUNLp3IylCjlSfxV0bPsCG8wdMiQYAcBIBUZH1CA6yXR2TAJv/dq7goXr5DjdHQtyNejY6qK62EUx0nGgq4wd4IpyApa3ehh+O/xs1eh04cBAg4vdTizFOloRZve+DlKOeJeJ6b+39DXV8E3jRvIfTWAY8IrwBjRVStB5o7R4aibgImecC9VGNTbxT7Sp0NW6OxMOoZ4O01emTOohNvJ2dcQy75gh6515UpO1O1B7A10deQq3esG22AAHGV/N23Z/4+cQ7Xo2PdE7n6iux/vwBi0TDiDGA44DgIMtl7/8YNoFWowC4ZLhz+0aNTRjo5kg8jHZ9JW0VEhpkWHGiFwCh1XZ8ogjwIiSCiJBQ+mbtLqvPfgOx+X+tiRCxq2I1ztWXeiEy0pmdrCt3+AVTFAGOM7SSNI+3Xtd/BO4eNsHN0fmHfzww0/7segCQAFNnDPNIPJ5irCDakYu/cdswilarhUqlgkKhgFarRXp6OmQyWZvbtuU83tC7byziBnTF8aPnIfKC4c3H+OIRL9bamNLJXiy+op6vwaHqYrttGDjsqliDy0MXeCgqEghigsIctmEM6BkeDV4aisExXXDLYCUu70NFvYz6DegGxSU9oN1/xtAXyTHDB6kgGt5GOeDKa8chlL6s+T23JRtpaWkoLjZ8CGi1WixcuBAFBQVtbtuW83gDYwy3LpyBnGe+M/wMmI2nMQZMuWwY4gZ09Up8nV0DX+uwDQNDPW997xpC2qt/RDcoIrvjcPVZmz0cEsZBdXk65CGRHo3Nnzz2zPV47PGvUNekv1hrgxcgqeeRED8Aj2Zd690A3YHmbLiGVqs1+1mhUECtVre5bVvO401BDGANeuOuaxcvAMQmHmPHxHk5ws4rXBoNKQu220aEAFlwTw9FRAIFYwwPDL3S7vv+LQOmUqJhR+nxMjyRvQQNgmBe1EvCgY8IwszrxkEipdH+zsAtf0W1Wg253Hz9uFwuh0ajaVPbtpzHWwRBwOK838B4HqyuEayJB/QCoDf8zDXo8eV7ajQ20t4o7hDEhWCsbCaYnacyA4cxsss8FxQJGNN7DMfLY+chQhoCwNCTwZr/e+vAS/HAJVd6N0Af9+Hilaita4Rgo+jh2+8Vor6elg93Bm4ZRtHpdFavLysra1PbtpynoaEBDQ0Npp8rKysdxukK+3ccx5kTOgDNQyhNvMV8p+rKemjWHcSkmcM9ElOgmd79Jhyo2owava55JYq55J53IkIq83xgJCBc1XscLusxEqvO7MaJ2jJEB4VjZs+R6BIS5e3QfFpZeQ02bDpkeyEfDCXL1/59AClJIz0XmAcwdHCLeZdF4jkerbNhK3loa1trx3JycvDSSy+1PagOqihzbv23rqzazZEErqggOe4e9AZWnPof9lauh9iccMQG98SM7jdjjOxyL0dIOrtQSRCu6j3O22H4lbNnK+0mGgAgkXA4eUrnkXg8KgA3YnNLsiGTySx6H8rKyqyuIrHXti3nyc7OxuOPP276ubKyEnFx7p8r0bVnjFPtujnZjrRPdFBXpPbLRI2+AuWNpxDMhaFbSD8wmvVPiE+Kjna8mkcQBKfaEd/nljkbycnJVq9PSEhoU9u2nCckJATR0dFmF08YNLwX+g/uDsbZ+FBjgLxbFMZNGuSReAJdhDQGfcOHoXtof0o0CPFhvXvJMGRwD7vbPXCMYca0oZ4LylMCcCM2tyQbCoXC7GetVouEhARTj4RGozGtNLHX1tF5fAFjDPc/e71h3TwDoNcDjU1AUxPQvKvj/c9eB4lU4t1ACSHEx9xz13S7x2+cEw+5vBOu5qFkw3UKCgqQlZUFlUqF/Px8s9oYOTk5UKlUTrW1d8xXjJmgwLy7p4HVNQBNeoDnAT0PNDRCMaALxk2kXg1CCGltQoICLzwzG1GRoQAAiYSBMcNcjXlzE5FxD8236iyYKDqaouOfKisrERMTg4qKCrcPqWzfcBDZCz6EtV8lJ2EYO3kIXvviXrfGQAgh/qqxUY/1Gw/h5CkdIiNDcenUIYiVRXg0Bk98ZhjvY8Crr4ILDW33eYT6ehx55hmPfL65Cu366gJfv1No2uWxNYEXsXXdAezffgyXjO3n+eAIIcTHBQdLcdn0ANrSgSqIkraqrqzDjo2HbBalAQCJlMO65ds9GBUhhBCfFYBzNqhno4PqaxscNwJQX9Po5kgIIYQQS23Z0NS4JYhOp0NRURHmz58PpVIJAKbq3UqlElqtFjqdznTMEerZ6CBZlyiER9kfexN4AXGDu3soIuIJoihAFOusztMhhBB7PL3FfFpaGjIzM5GamorU1FQsXLjQblu5XI7U1FQMGjQIaWlppmP5+fmIj48HYwwZGRkWK0btoZ6NDpIGSTDr5sn4/qNVNodSpMFSzLzBsjYI8T+i/jDE6nyg/hcAjQCTQQyfDxZxDxhHhdsIIU7wYAXRtm5oWlBQYNZb0bIHJD4+HuXl5RbXO4OSDRe46YFkFK3ai9JDZ8wSDo5jEEQRj+bMQyRVwfN7YtMOiGW3AWIjAL75Sh1Qsxhi/e9AlyVgnNzeKQhxWlHpcfyvSINNx44DACb264t/JCqRGNfXy5ERX9F6D7CQkBCEhISYXWdvQ1NrQyAti2kWFBQgIyPD7Hh761zRMIoLRESH4c2Ch3DD3TMQHnnxDz0iYSBe+/xe6tXoBERRgKh7BBAbYEo0TASAPw6xMscboZFO6H9FGtz8dQH+KtGisqEBlQ0N+KtEi5u/LsAnRb6z6zVpJxdNEI2Li0NMTIzpkpNj+R7Ulg1NjTQaDbKyspCSkoL09HSzc6lUKqhUKmRlZVn0mthDPRsuEhEdhnuevh53PDELuvNVCA0PRpSH14kTN2rcAPAn7DTggfpfIQpPg3GxHguLdD67Tp/Ba3+tBgDwLXpKjf9+9a/VSOjbG6N79fRKfKTj2jPvovXtAaC0tNSszkbrXg177G12qlQqoVAoTAU1U1NTAcBsYqlCoUBKSgpKSkqcuj/q2XCxoGApuvaSQSKVQN/U+hsw8Vv6fXD8ctED+sOeiIZ0Yp8Xb4PEzoYhEsbwhYaW0hNY7AdmLdloy4amrW+XlpaGtLQ0U2LSsifDuLLF2d4NSjZcqLa6Hl+88StuHvs05l7yJGYPehyvLPwIh3aWejs00mHBcGpxO3P+mwUh1mw5fgK8nVVOvChiy3F7vWzE53mwzkZbNjRVq9WIjb3YM2tcbaLVaqHRaJCUlGRxm9bzQWyhZMNFaqrq8MSct/Dt23+g4kI1AMOS1w1/7MRj172J4lV7vRwh6ZCQGY7bcN0BaQBVQSRuIeEcvy1LnWhDfFhHl722Idloy8aocrncLDnRaDSQyWSmYZXc3FzTMbVajdTUVKcnjNKcDRf58o3fcPTAKYvlrwIvQBQZXr//E3yleRXBoUFeipB0BJP2gxh6NVD/OwDBepuIe8EY7e5LOmbmIAU+LdfY7N2QMIbLBzlf34AQ44amiYmJKCoqstgYNTExEZmZmVAqlZg/fz4WLVoEACgsLERxcTEAw7BKQkIC8vLyIJPJUFJS0qaNUWkjNhdoqGvETWOfRn2N/WqiT75zO2bOTXRrLMR9RKEWou4hoHEtAAkMXy8YAB6IyACLfBzMzlg7Ic44ptPhyo8+g54XLL7AMgBSCYff774D/WNlXojO9Yr2HsOXf2xB0d5jEAGMG9wHC66Ix7Sxnk2oPLkRm+LZ1yDpwEZsfH09tK88TRuxBZpzJ3UOEw1JkASH9530UESkJVEUcax2J0pr9wBgGBAxBn3ChrU5MWBcOBD7EdCkgVi/DBB0gKQvWFgqmHSAO0InAaifTIYPbrgOD/zwC/SCAKH5+yDHGKQch/dvuLbTJBpf/LEFby9dY3Zd0b5SFO0rxd3XTsB9N0zzUmRuFoAbsVGy4QIhzgyNCKJz7YhLlTWcQEHpKzjfUAoOHEQAq/EFeoYOQmrcM4gJblsZecYYEBwPFhzvnoAJAXD5IAVWZvwDS7bvNCvqNX/saPSIivRydK6x98gZi0SjpY9/2YzE4f2RMCzOg1F5hquWvvoTSjZcoGtvGQYM642j+0/Z3CuD5wVMunK0hyMLbLX6Snx+5CnU6isAAEKLuRZn6g/jiyPZSB/0HoIlVN2V+J4eUZF4eNpkb4fhNm8tXe2wzUc/b+yUyUYgoinNLsAYwy2PXWUz0WCMYczkIRg8il40nrS1/HfU6nUQrUzoFCGgoukMdlas9EJkhJBd2tMO2+zU0tBzZ0HJhotceu14LHzhBsMPYvOAXHPyIQoCju47geOHzngvwAC0q2IVRLuDmwy7dJRsEOINTXrHRQ9tbW7p9zxYZ8NXULLhQkwUAZ43JBlCc7LB84AgoKq8Bi/c/gEEwfqySeJ69Xy1gxYi6vgqj8RCCDEXFuJ4DluXGNryobOgZMNFeF7A9x/+afhBFC9emgm8gJPac9BQcS+PkQf3AbPzFGfg0CWEdtAkxBuumuS4AN6NM8Z4IBLP60hBr45OLvUWSjZc5PyJcpw/pbPbRiLlsGP9Qc8ERKCUX2V1voaRCAHjY6/yYESEEKO7Zk1AaLDtNQry6HDckmK5BXqnEUBDKAAlGy7jbG20TlpDzScNj56GQZEJYLBWT4NhRPR0DIqkJayEeEPPLtHIz5yHLtHhAAwFy4yv1AE9Y/HZM7cg1ImhFuIfaOmri3TrK0eXnjG4cLrCZhteL2D05CEejCqwcUyCtLhnsPbctygu+wX1Qg0AIFwSgwldZmNy17lU8ZMQLxo5sCd+/ddCrN5Wgp0lpyCRcJgwoh8mDO/XuV+bVNSLtJdEwmFO+kx8/PIPVp8IjDF06xOL+MtHeD64ACbhgnBZj9swrdtNuNB4HAwMXUL6QsLoqU+IL5BKJUhKGIqkhKHeDsVjArGoFw2juNANGUmYMbvVtr3NE0VFUUT5mQpsW7PPO8EFOCkXhB6hA9E9dAAlGoQQ76Klr6QjJBIOdz59PaRSzmI1CkQRTY16vHjbBzh99Lz3giSEEEI8jJINF1v++TrwdorV6Jt4fPXGrx6MiBBCiC+hpa+kw9b/tg2OFpys+3WrZ4IhhBDie2gYhXRUpa7GYZv6mgZU6Wo9EA0hhBDifZRsuJisa5RT7SouUJlsQggJSNSzQTpq/PThjhtxDDFdnEtKCCGEdC6BOGfDLWsAtVotVCoVFAoFtFot0tPTIZPJrLbVaDRQq9UAgKKiIixevNjUVqPRAACUSiW0Wi10Oh2USt8uXzvvoSvw88crIdrYrZBxDJOuGosoWbiHIyOEEEK8wy09G2lpacjMzERqaipSU1OxcOFCm23VajUyMzORmZmJxMREJCUlmY7l5+cjPj4ejDFkZGRAoVC4I1yXkveIwU2PXm15gOMAiQTSkGDckXWd5wMjhPglvSDgfHUNqhsavR0KcRUaRuk4rVZr9rNCoTD1XLSm0WiQk5Nj+jk1NRUajcZ0jvj4eJSXl6O8vByFhYU2e0d8zW2Z1+Lu529EWFQoIJUCwcFAUBAglaJJAN7OXorjJWe8HSYhxIdV1TfgjT/XYvKbH2LqfxYhPu99/OOr77Dl2HFvh0Y6ipKNjlOr1ZDL5WbXyeVy05BIS0qlEosXLzb9rNPpTO2NZDKZ3yQZRowxpD6QgstSJwESCdCqxv/+bcfw2Jy3cab0gpciJIT4sqr6Btz86RJ8vKEYlfUNpus3Hi7FbZ+r8PueA16MjpC2c3myYUwYWisrK7N6fWpqqunfS5YsQXJysim50Ol0UKlUUKlUyMrKsug1aamhoQGVlZVmF286XnIGy7/eYPWYwAuora7HN+8WoqayDjs3HsKuzSWor22w2p4QEljeX7sR2vNlEFoV7eGbtz546ucVqGmkYRV/RRNE3chWEtLyuEqlQnFxsem6lhNLFQoFUlJSUFJSYvX2OTk5eOmll1wVboepv9sCTsJB4AWrxwU9j8IlG/CXahOaGvQAgNCIEFx7x6W4/clrEBRM+3cQEoga9Xos1ewCb6M6oAigrqkJv+7aj3nK0Z4NjrhGR4dCOnOysWjRIpsf9ACQkpJi6pVo3YtRVlbmcCgkKyvLYl6GVqs1rT4xrmzRarVWJ4pmZ2fj8ccfN/1cWVmJuLg4Jx6Ze5SdrYDNDZJFERAECAIg6C8mI/U1Dfjuv3+i9OBpPP+/heA4WplMSKA5W13jsNdCynE4cI72WPJXgbjrq9PJRnp6ulPtkpOTkZ+fb3F9QkKCldYGeXl5yMrKgkKhMPWAaLVaJCUloby83Kxt6/kgRiEhIQgJCXEqRk+Qd4+xnXzaqWcuiiI2Fe7Clr/2YELyKLfERgjxXeFBQQ7biBCdakeIr3D5V+fWvQ5arRYJCQlmtTNazr1QqVRQKpWmRGPp0qWQyWRQKBTIzc01tVOr1UhNTfWbyaLJcxPMh1CaezOg1xv+awcn4bD8q/VujpAQ4ovkEeEY17cXOGazbxS8IOKK4UM8GFXH1TU04bu/d+L5L/7Ai1+twK9Fe9HYpPd2WN4RgKtR3DIxoKCgAFlZWUhMTERRUREKCgpMx3JycpCYmIjMzExotVqkpaWZ3VYmk5nmaiQkJCAvLw8ymQwlJSVm5/F1fQf1wDW3TsWvX/5tSDT0LV5Udt5EAMME0lO0DT0hAev+Syci/ZsfrR6TMIaJA+IwqlcPzwbVAZpDx/FI/s+oqmuAhDO8//24YTf+88NafPDADRjap5uXI/SwAJyzwUTR0R6l/qmyshIxMTGoqKhAdHS0V2LgeQGf5v4C1Xt/mD85jMmGjaSDcQxjJg/B60sfcn+QhBCfpNq2Cy/+9if0ggAJ4yBCBC+ImDQgDu+lXYeoUN8ZNrbnxIUKzH31czQ28RarazjGEB0egp+evwsxEaFeitDAE58ZxvsYfv9rkIS0//HyDfXY+8HTXv18ayta8uBGEgmHvgO6Wmahomi3d0MURCSnTXBvcIQQn5Y6bhSShg7CTzv2QnuhDOHBQbhq+FCM7dMTzEHvqC9Zsno7mvSWiQYACKKIitp6/LRxN25PivdCdN7Bmi8dub2/oWTDzTard9k+aCXp4CQc+g3pgenX+fYeMMScIOpxsmYtjtesAi/UIyZkMBTR1yNc6j9d3cT3xIaH4c5J/v1eULjtAHgbe0UBhrfBP7cdDKhkIxCHUSjZcLOys5XWezJaXtfi3+OmDcWT796O4FCaae4vavVnsOrEg6hqOgIGCUQIOFGzCnvKPoKyWyYGx8z1doiEeE1Do+NJoHVOtCH+jZINN+vRV459W2xUPjWuUGEMM1MnYP5DV6DfkJ6eDZB0iCgKWHPyEVQ3lRp+Bt/8X8NXj+JzryNC2hu9IiZ7LUZCvOmSvt2x+cAxm70bEo5heFxgTRClOhvE5a66dSpW/7jF9jwNxgBBwIzrlU4lGmWnK7Dim/U4duAUQsNDMPXa8Rg/YxgVAPOS07UbUNFou9gdA4e95Z9SskEC1k0zxmLDvqM2j/OCiLRLx3owIh/g4WEUrVYLlUplKo7Zsjp3a8aNU3U6HYqKijB//nxTcc22nKc1SjbcbNy0S9CzXxecLi2zPnQiCIAg4sPsJRg6rj9kXaNsnuu3z9bgg6xvIYoiwAwbvi3/fC2GjOuPf37zoN3bEvc4WbuueeiEt3pchIBz9RrohTpIuTAPR0eI900fpcCNU0bh+/W7wNjFmoYcYxBEEelXT8So/tSj605paWmmrUC0Wi0WLlxos5REWloa/vzzTyQnJ6OsrAxpaWmm6uFtOU9r9HXYA575aCGkQZzhVWa8AABvSDQA4EzpBXz0gsrmOTav2Il3n/gaPC9AEEQIvAi+udR5yc5SvHTbB+ikq5h9Gi82OdmONs0igYkxhuduTsaLC1Kg6NnFdP2Ift3xr7uvwf3XTPFidF7koYJerTcwVSgUpt4LawoKCkw9GQBMPRdtPU9r1LPhAYPH9EPGi3Pxfta3sPVMEXgBq3/YgoxX5iEqNsLi+Df/+Q0cxyBYGfcUeAH7thzG7k0lGDVpsKvDJ3bEBg/FYdivCBsm6YZgjnqdSOBijGHO5FGYM3kU6hqaAAaEBQfuJHhPztlQq9UW23zI5XJoNBqzpMIoOTnZ9O+CggJkZGS06zytUc+Gh9RW1YOTXPx1i81bRYui0HwR0dSoxwntWYvbVpXXYN+Ww1YTDSOJlMPG37e7JXZiW/+oWZCwYDstGIbI5oMxeqkRAgBhIUEBnWgAcFm58srKSrNLQ0ODxV3Z2nG99YapLWk0GmRlZSElJcW0L1p7ztMSvQN6SHBokGmYw/Df1v1hhp+1u0otbttQ70wXPENjHXXVe1qwJBKTerwCBgkYJC2OGMr2dA9LwFDZLd4KjxDSicXFxSEmJsZ0ycnJcfq2tpIHAFAqlcjOzkZJSQlUKtvD+47O0xIlGx4y4Yoxpt4Mi6GUFnM5PnxmCc4ev2B2OLZbtNWhlZZ4PY8BI/u6OGrijL6RlyGp78foE3EZWPPIZGRQH4zv+him934bEhbg3+IIIWaMwygduQBAaWkpKioqTJfs7GyL+5LJZBa9D2VlZQ5XkchkMqSlpSEtLQ06na7d5zGiZMNDeg/shumz4y+ufjUmGIJo1jXWVN+EXz5ZbXZbiVSCa+6cDo6zsZcKA0LDQ3DZjYlufQzEti6hIzG11+tIG7QeaYM24Jr+P2Co7GZKNAghllw0jBIdHW12CQmx3C+n5RyMlhISEiyuU6vViI2NNf1s3MVdq9W26TzWULLhQY+9dTuCw5o/fGzMKhYFEb9+sspiZcn8R67CkHH9wTjL8uaM45D54V0Ij/TuRkbEMBGOYzTvmhDiG4wJg5FWq0VCQoKpR0Kj0ZhWmsjlcrOkQqPRQCaTQalUOjyPI/Su6EGhESGQdY3CGQfbx9fo6rDht22Ycs14s9u+/sPj+OFDNX7532qUnakAxzFMvHIM5j9yJS5RDnR3+IQQQlzA0xVECwoKkJWVhcTERBQVFZnVxsjJyUFiYiIyMzOhVCoxf/58LFq0CABQWFhoqqvh6DyOY+6kxRl8YYt5a3IzPsJK1Sb7a6UZMH76cOT88LjVw6Ioor6mAUEhQZAGSay2IYQQ4jxPbjE/5q7XIAnuwBbzjfXY8Yl/bTFPwygedv3CmY6LsojA4d3HbR5mjCEsMpQSDUIIIX6BhlE8bHiCAt3j5Dhban9tsghAEATa84QQ4jd4QcDmXUdx4mwFoiJCMXXcQESGWU5aDHi0xTzxhDkZyVj03FK7T5iKc5XIy/gIT354DyQSSjgIIb5t/fbDePWjFTivqwGD4e0tJFiKu66fiDuvnwBmbSPKABWIu77Sp5gXXLFgKmK6RJlVFDVpsXfKqu8248cPna89Twgh3rBlzzH8379/xIWKGgAXv0c1NOrxoepvfPTDBu8FR3wCJRteEBkTjtyf/g+RMc27gLbcnK0lEfjxv4UQBPt7b/iCk2cr8NbnK3HtfR8i+R/vYuHzX+P3tXvA+0HshJCO+WDpuuaihdaPf7ZsMyqq6jwblC9zUZ0Nf0LJhpcMGN4HM9MmmtfNsPJKPXeiHBdO6jwXWDvsOHACCzI/g+qPrbigq0FNXSP2HDqNlz5YjmfeWgY9TwkHIZ3VsdPl2F1y2maiAQB6XsBfRQc9F5SPY6LY4Yu/oWTDiyRSCbjW45hWxjX/KtjooYjarqFRj8w3fkRjox58i43ihOYXw5qiQ/j4uw3Q7DuOQ6XnLIqVEUL82ztfrHLYhmMcyitr3R6L3wjAng2aIOpFY6YNw3fvrbA80Crh+OTlHzBodD8kJI/yUGTOW7X5ICqq6m0eFwF88sNGfPzLRoAx9OsZiwfSpuHyhCGeC5IQ4hYlpeexTqMFpPYnf/KCgJ5d/aMeBHEP6tnwooTkUeg1sJthKIUxq70aAMBxDN/8+1cPR+ecnQdPQupgtUzLR1V6uhxZ7y7DL+t2uzcwQojb/bFuD6Qca97jyfbX7dCQIPqC0YKrNmLzJ5RseJFEwuGfSx5BcGiw3XaCIGL3xkOoqfS9CVYSjrWpR8/Y9l+f/4W6hiZ3hERIwON5AWvX7ce77xXinXdXYOXKvWhq4l1+P2UVhqERZpyW1TrhaP753rlTEBZKmxKa0DAK8bS4IT0xfU4C1Es2QBTsP4OaGpoAhHkmMCdNGD0AS3/favO4rUdU19CElVsOYtbUEe4JjJAAdeTIeWQ/vRRnzlSaavT8+KMGcnkEXns1DUOH9nTZfXWLjQTQ3HvJA6KVosZBjCEtZZzL7pP4J+rZ8AGXxA90OHFS1i0KUfJID0XkvEnjBiCupwwSzvoQEEPzG1CrISKJhMOp85XuD5CQAFJVVY/H/+9rnDtXBcDQw8E3rwbT6Wrxf098g/Pnq1x2f7OmjzRNDGcAOB5gehGMF8H0IqQiw+wZoyGV0tYKLdEwCvGKy1MnIiQs2HxyQwuMY7junpk+WUlUwnH491Nz0dX4Daf5MRhfCwIHiFbCFgQBMZHt34iIEGLp9993oKKiFoKVXlJBEFFX14hly2z3RLZVXK9Y3DQr3uw6BsOHoZRjiIkMxe1zJrjs/jqNABxG8b1PrwAUER2GrPx7wHGcRVVRxjGMnDgYaQ9d6aXoHOvbQ4Zv3rgLT92TgsTR/TFqSC/IYsIgBAGi1PrEV44xzEwc6oVoCem8Vq7aa7fehSCI+GvlXpfe50MLZuDe+dMQEWY+92z88L5Y9M9b0KMLrUIhNGfDZ0y5Zjz+vTwLS9/5HRuXb4fAC+jWJxbXL5yJ2elJCPbxyVVhoUGYnTQGs5PGAAA27z6Kh//1vc3hoQVXJ0AeHe7JEAnp9OrqGl3Spi04juGOORMxf5YSO/afRENDEwb07YK4nrEuvZ/OJBD3RqFkw4cMS1Dg+c/vB88L0DfqDUMrfmrCyP54/aHr8NonhdBV1YHjGARBRJCEw4KrE3Dv3KneDpGQTkeh6I7jx8tN8zRa4zgGhaK7W+47NDgIE0b3d8u5O52ODoVQsmGg1WqhUqmgUCig1WqRnp4OmUxmta1GowEAKJVKaLVa6HQ6KJXKNp+nM5FIOEj8ONEwuix+MKaOHYh127Q4ea4CkeEhmBE/GLJI31pRQ0hncf3147HSzjCJIIiYPVvpwYgIMXBLspGWlobi4mIAhoRh4cKFKCgosNo2Pz8fixYtAgAkJyebtWvLeYhvCpJKqJgPIR4yZnQcbrghHj/8UAzGLMtepCSPxJTJg70THDHjj0MhHeHyZEOr1Zr9rFAooFbb3iY9Pj4e5eXlAGDWa9HW8xBCSKBjjOHBB5IxSNEdS5ZuQmlpGQCgZ88YpKYmYs7seDAblYod2b79GJaoNqO4+DAEQcTwYb0w98ZETL/0knafM2DZ2um7Lbf3My5PNtRqNeRyudl1crkcGo3GNDzSmrWhkfachxBCAh1jDLNmjcXVV4+BTlcLUQRiY8M7lBD8tEyDt99ZAQnHTHU19uw9iV0v/4i5NyTg/vuSKOFoA5og6gI6nc7q9WVlZTbbq1QqAEBRUREyMjKgUCjafJ6GhgY0NDSYfq6spIJRhJDAxRhDbGxEh89zrPQC3n7HsGGk2c7Ozf/+7octUCoHYPIkGp4htnlsNYqt5KHlpE+FQoGUlBSUlJS0+Tw5OTl46aWXOhilfxBFEaeOnEdVRS169JVD1jXK2yERYmG7bh9+PvkXdlccBACMjhmK63rPxBjZJV6OjLTFsl+2mlaTWcNxDD/8uIWSjbag1Si2LVq0yG4SkJKSguTkZMhkMoveh7KyMpurSLRarWlYxLjqRKvVtvk82dnZePzxx00/V1ZWIi4uzolH5l82/7kbn+X9Cu2eEwAMRb8mpYzCPc/OQe8BXb0cHSEG3x1fgS+P/gQOHAQYlmFqyvdgS/ku3DHgBszpk+zlCImz9u49aTPRAAw9HPv2nfJgRP6PCS02r2vn7f2N08lGenq6U+2Sk5ORn59vcX1CQoLFdRqNBklJSaYJokZyubxN5wGAkJAQhISEOBWjv1r1YzFyH/4crEVdc1EQsUm9G7s2leCtZf9HCQfxugNVh/Hl0Z8AwJRotPz3Z0d+wKjoIRgcRTUZfF1TE4+qqnqH7WjvE+KIy8uVKxQKs5+1Wi0SEhJMPRIajca00kShUCA3N9fUVq1WIzU1FTKZzOF5Ak19XSPezV4KiLCoyinwAqor6vDRKz96JzhCWvj11Gpwdt5aOHD47dRqD0ZE2kP1zUZcl5SL4yXn7K5+kEgYpkyhIZQ2CcC9UdwyZ6OgoABZWVlITExEUVGRWW2MnJwcJCYmIjMzEzKZDAkJCcjLy4NMJkNJSYlZW3vnCTTrl29HbbXtbxiiKGLDHzuxYulGXDFvkgcjI8Tc/kqtWY9GawIE7K867MGISFv9ULAJ+e8aSg0wAGIwDAmH1RUnDHNvSPRkeH6PVqO4SMsei9TUVLNjrRMGpVJpcymrvfMEmlNHz0Mi5cDr7Q/W/ef/vsGAYb0xdEw/D0VGiDkJc9yl7kwb4h2iKGLx+3+ZfmYAuHoeQqjErIeDcRykEg7PPTsbAwd280KkxJ/Qrq9+IjIm3O4kLRNRxAfPBG4PEPG+RPloh8MoifLRHoyItMXalXvR1MibXccEgKvlwRoFgBcBXsTYEX3wzdf3Y9pU2r25zYxFvTpy8TOUbPiJqVePtd+gxRNw/9ajqCir9kBUhFi6qtd0SBhnNpHZiIFBwjhc2XOaFyIjzig5dMbqhxoDwOlFSBoESBoEyKPDIXdBHY9AZBxG6cjF31Cy4Se69pLhujsutX7QSpb78NX/woXTFW6OihBLPUO74qnh6QjipGYJBwNDECfF0yPuRffQLl6MsH0EQUSTnnfc0E+JoojCn7eh8LticPV6cPV6sAY9oOetvsf07BXjhSiJv6It5v1I+vNz8KdqM2qq6i+++G2UCD5/ugIfPFuA5z66x4MREmKgjB2J/PiX8efZ9dipOwDGGEbFDEVyj8mICfKvInTbtSfx6YotWLNLC0EQ0bdrDG6+bBzSZoxFkKTzzD1Z/J8V+O6L9eZvKSLAmgRAECEGSczeb+YvmOL5IDsLKupFfJlEKsE9z87G21lLLl7Z8htHi38Leh7r/9iB86d06NpL5rkgCWkmC47C3L5XYm7fK70dSrutKN6P7P8tB2MXy3OfOF+BN1SrsW73Ebx932wEdYIaE7u2HsV3X6wHYP6WYkoteBGiRAQkhmuSrhyNqOgwzwbZiQTiahQaRvEzV948GXGDu1sesDZhSBDx1Lx3cP6Uzu1xEdLZ6Krr8Nxnf0AURbM9QYxfSjfuO4pvV2/zVngu9UtBESQS2x8HIgDWvBJu5hWjkPX89R6KrJOiCaLE1zHG8EHhUxgwvPfFK+088U4dOY+stHfQUNfogegI6TyWbdqDJl6w2WMtisC3K7dZFNnzR9oDp8HztpfVMwBhoUFY8sujyH5xDu3wStqMkg0/JJVK8MoX94HjHL/gBUHEycPnsPpnjQciI6Tz2F96ztaUKJOTZZWoa2jyTEBuFBbueKsHeZdIyOWRHoim8/P0ahStVou8vDyoVCrk5eXZ3NAUMFT5zsvLQ15eHtLS0szaajQaaDQa0zmN/3YGJRt+qkvPGCTPmwjmRMLBOIZVP2zxQFSEdB7BQRKry3dbYkCnmLMxLXmE3d4KjmOYceUoD0bUyXm4XHlaWhoyMzORmpqK1NRULFy40GZbtVqNzMxMZGZmIjExEUlJSaZj+fn5iI+PB2MMGRkZFtuK2EPJhh974JU0TEx2/AYgCiKqK2o9EBEhncf00Qrwgu2hBQnHMGl4/06RbFw5ezyiZWFWe0s5jiE0LBjXplFJcn9k3IvMSKFQQK1WW22r0WiQk5Nj+jk1NdVsP7P4+HiUl5ejvLwchYWFbdqrjJINPxYcGoTnP74H/Yb2tNuOk3DoO7iH2+MRRREbV+zEsws+wK3xz+KeS1/GF2/8irKzlW6/b0Jc7dJRAzGgRywkNnoPBUHEXVd0jg/g6Jhw5C2+C126GZYlS6ScacJoVEw4Xs+/A127R3szxE7Fk8MoarUacrnc7Dq5XG51CESpVGLx4sWmn41DKC1vL5PJ2rUhKi199XOMMaTem4R/P/6VzTYCL+DqBVPdGocgCPj3Y1/hT9VmcBIOQvNks2/f/gM//281cpY+hMGj4twaAyGuJOE4/Pehubjv3e9w5Ew5JBwzK2/z3IIUJF7if8/pg7tP4PtP12LTX3uh1wsYNLw3Zt82BTNmjcGnyx7FhlX7sK3oMERRxKjx/TEteQSCg+mjwqUE0XDpyO0BVFaaf5ELCQlBSIj5/Btb8zPKysqsXt9yH7IlS5YgOTnZlFzodDqoVCoAQFFRUZuGUugZ1AlcfmMiVv6wBdv+PgDRyhP4ylsmY9TEQW6NYdmna/GnajMAmBINwPDtr7a6Hi/c/iE+2/RPSIP8v8uZBI6e8igUPHs71uzUYtWOEjQ06jGkT1fMmTIKXWP8r1T3sq/W47+vLjNbwLZ/xzHkPnEMWzccxKMvz8WlKSNxacpI7wVJnBYXZ57svvDCC3jxxReduq29SaLG4yqVCsXFxabr0tPTTYmHQqFASkoKSkpKnLo/SjY6AWmQBC9+loFv3voDv3y2BtUVdQAAeY8YpN47E7PvuQy8XsD637Zi84qdEHgBE68cg0tnx4PjOj6SJooiflj0V/Ne1JbHBV5E2ZlKbPh9By69bnyH748QT5JKOMwcNxgzxw32digdUrx2Pz54ZZnF9cbEY8V3xRg7YRBmXk+vUbdzUQXR0tJSREdfHN5q3asBGIY9WvdilJWVORwKycrKspiXodVqTbu0KxQKaLVaaLVap3o3KNnoJIJDgnBH1rW4+dErcerIeXASht4Du0Mi4XBo+zE8Nfc/qKmoM9UEWPldEd5+7Eu8svRhjJjQsV6P8nNVOFNqvUvOSCLlsGtzCSUbhHgBzwt47bFvHLb78Yu/KdnwAIYOVhBt/m90dLRZsmFNcnIy8vPzLa5PSEiweZu8vDxkZWVBoVCYekC0Wi2SkpJQXl5u1rb1fBBbaIJoJxMcEoT+l/RC3OCekEg4nD9Vjv+75l+o1hlWozDGTEvc6moa8OR1b+CE9myH7tPZ+j5UB4gQ71i/Yhdqq+sdVp48tOdkpyhSRi5q3eug1WqRkJBg6rFoudoEAFQqFZRKpSnRWLp0KWQyGRQKBXJzc03t1Go1UlNTnZ4sSj0bnVzBuyvQ2NBkcw29IIh467Ev8K+f/q/d9yHrGoXeA7vh5JFzNrsGeb2AMVOGtPs+CCFtJwgCvnnvT3z1fiEgoHmfeM5m5s9xjKqDekJHS4638bYFBQXIyspCYmIiioqKUFBQYDqWk5ODxMREZGZmQqvVIi0tzey2MpnMNFcjISEBeXl5kMlkKCkpMTuPI5RsdHJ/FWyye1wURezeeBBNjXoEtXPGOWMMqfcl4Z3Mb60e5yQcuvaSOVUThBDiOg/PeRsle05evEIEIPCGhKP1XiiiiFEJAz0aX6Dy9EZsLXslWq42AWCWMCgUCrs9W0ql0jRno61oGKWTc7QnCmMMAi+isqy6Q/dz1S1TcN2d0wHAbEMnxhiiYyPw8pf3QdIJih8R4i+eu/tj80SjJUEAWu6FIooAY7jl/pmeCS7QebiCqC+gno1OTtY1CudOlNs8LooiGAMiojq2XTRjDPe9kopp14zDr1+sxeE9JxEeGYrp1yuRMn8SomThHTo/IcR5pSVnsGX1PvuNBMHQu9H8Tfbya8dhTKLz5acJaQtKNjq56+6+DP/75w82jzPGMGKiAqERjjdicoQxhjFThtDcDEK87JM3fneuIW8YUrlibgIefWWue4MiJkwUwTowZ6Mjt/UWGkbp5OY+kAJ5rxgAotlYnOnfDLj31fneCY4Q4hanj11wrqEI5H2RjsdeTaWJoZ4kuODiZyjZ6OQ4jsNHG/6JwWP6ofUGlmGRIXit4BEMGdvfO8ERQtwiIjrUqXYJMy7BaBo6IR5AwygBICwiBO/++QxOHjmLv5ZuQmN9E4bFD8TEK8fQpE1COqE5d07DrqLDDttlPH2dB6IhrQXiMAolGwGk94DuuDXT/ptL2Wkdfv9kFfZuOghOwiE+eTSSFkxDRDRN8CTEX0xOGYWuPWNw/nSFzTYLHk5BX0V3D0ZFTFxUrtyfULJBTNb9WITXbn0XvJ6HKBhWqWz4pRifvViAV3/JwrBE/94bgpDOpqKsGr99tR7q74pQpatFz35dMOuWKZh5QwLe/fERPJr6Ls4cN1+Nxhhwx+NXYf59SV6KmgQiJnbS2rSVlZWIiYlBRUWFw9rxBDi8qxT3T8gGzwsWWTNjDCHhwfji0DuI6RLlnQAJIWZOHj2PJ9PeRfn5KtNuz4wxiKKIkYkD8crn9yIkNAg7NpVg2Rd/o7amAYNH9sXNDyQhLLzjq886G098ZhjvY/rU5yCVOjevxhq9vh5r/n7Zrz7fqGeDAAB+eG+54R9WUk9RFFFfXY+7R/0fXvru/zByyiWeDY4QYkYURbx636fQXag2JRrG6wFgb/ERfJr3K+594QaMnTQYYydRr6Qv8XQFUV9Aq1EIAGDDMg14vf31VJUXqpB55Sso2XbEM0ERQqzapzkK7Z4TEHjrr1lBEPH7txsMm68R4gMo2SAAAH2T3n4DxgAR0Dfy+PhZx1tVE0Jcr7qyFvkv/4i8x74y7G9iR0NdE47uP+2hyEibGDdi68jFz1CyQQAAlyQMAtd6Y6aWmp/coghsWbET9094Gut/3uKh6AghX71TiLTxz+PHT9bh9PFyAAzgJACz/brlJFSoyxcxoeMXf+OWZEOr1SIvLw8qlQp5eXnQ6XQ226pUKuh0OqttNBoNNBqN6ZzGfxPXm/PAlTa7ZE1aVBgs2XEUL6b+Gz++/4ebIyOE/P7tRnz51h/WlzwyZjXhiIwOw8Bhvd0fHGk76tlwjbS0NGRmZiI1NRWpqalYuHCh3baxsbGIjY0FYwyMMeTl5QEA8vPzER8fD8YYMjIyoFBQpTt3mThrPG546Krmn1o8kU1lzc2/IRknpX3w+GfY8Eux3W2JCSEd83Hur/YbMAazEsEMmPOP6QgODXJrXIQ4y+XJhlarNftZoVBArVZbbavT6VBQUABRFE2X3NxcZGZmAgDi4+NRXl6O8vJyFBYWQiaTuTpc0owxhnvfuA2PfbgQADPPnu0lEiLwwo1v4t6EbFRcqPJIrIQEktKSs6iuqHPckAGS5qHQ6deMw00Pprg5MtJuAbjFvMuTDbVaDblcbnadXC63OQSSmppq+rdKpTL7GQBkMhklGR7CGMPV/7gcd76UBtMzmjGLXg1rDu88hjuHPYZKSjgIcanyc5VOtQsKCcKUK0fjlc8z8NS7t9NWBD7MWK68Ixd/4/I6G7bmZ5SVlVlc1zKJ0Ol0KCsrMxsq0el0UKlUAICioiK7QykNDQ1oaGgw/VxZ6dwLlFi6+ak5iIwJxxevqFBxrtqpZAMAanQ1uDfhKbz+29PoN7yPm6MkJDB07Slzql389GF4+oM73RoLIe3lsdUo9iaJAkBWVhbmzZtndl16erpp3sf8+fORkmK7WzAnJwcxMTGmS1xcnCvCDkiMMVx//5X45uh/MfaykeA452e0nz9+ARnKTGxevtWNERISOHoP6IoefWMdtrvzyas9EA1xiQCcIOp0z8aiRYtQUlJi83hKSgqSk5Mhk8ksejHKysrsDoXodDqo1WqLNlqtFkqlEoBh7odWq4VWq7Xau5GdnY3HH3/c9HNlZSUlHB0kDZIiPW8BHp76PCDyTo8T8noeL8//D7468gHCo0Jx7vgFBAVL0aW3HMzJXhJCyEVPvHkzMm/6wOZnzPRrx6H/kJ6eDYq0nwigI8tX/S/XcD7ZSE9Pd6pdcnIy8vPzLa5PSEiweZstW7ZYJBoajQZJSUkoLzffRKj1fBCjkJAQhIRQvX9XGzJ+IF5UPY7Xbn0XdY6qETJmyrgb6hrx6k3/wcHiElSV1wAA+o+Mwy1P34iZN09zd9iEdCqjEhV4/av7kPvIlyg7d3FelDRIgutun4r0Z673YnSEOObyORutex20Wi0SEhJMyYRGo4FMJjNrp9FoLJIIhUKB3Nxc089qtRqpqak0WdQLJs4aj29LP8D/Jb2MQ5rD1hu1+MoliiIgCNCod5g1ObbnOHIWvI1T2jNY8Mxcd4ZMiF+or2vEqhW7cFR7DqFhwZh2+XAMusR6D8WYSYPw5cbnUbLnBI7uP42YLpEYP22oaQUK8R8dneRJE0SbFRQUICsrC4mJiSgqKkJBQYHpWE5ODhITE03LW41aJykymQwJCQnIy8uDTCZDSUmJ2XmIZ4VFhOLVnzJx5/BHUVfdYH7Q9MS3v1TWWIvj0+e+xYx5U9B3SC83RUuI71v311688dKPqKtthETKQRSBrz9eg8Qpg5H9aioiIi17ahljGDyyLwaP7OuFiInLiOjYvAv/yzVoi3nSNqePnMWjM15E2clys2GTls9+keftnoOTcEh97FoszLvNjZES4rt2bj2KJ+/9zGzHViOOYxg/QYHX3r3VC5EFLk9uMT9z3FOQSto/7K/nG/DXttf96vON+t9Im/Qc0B1fHHwHqY9fA4gCWleYcSZ3FXgBJTuOui9IQnzcVx+tga2p0oIgonhjCfbvPuHRmIgHBeBqFEo2SJsFBUuRnnsrMv5l6JmQSC8+jTgHO1EaFa/YgdcWvA3eQS8IIZ1FY4MeF85XoexCNbZu1kKw0qthJJFwWPvnHg9GRzxKcMHFz7hlzgYJDHMfvQYJV4zFL4vUOLClBMFhQZhyXQL2bT6I1UvXg9fbf0Ws/HY9tqzYjg+KctFzQDcPRd356PU8Nmw9jNJT5YgMD8GliYMRGxPu7bBIszOnK/DFZ2vx54pdaGriIXFm+TcDamsbHLcjfokmiBLSRv1H9MUDb91pdt3RPaVY+/0mCIJodUy6paqyGtw+5CHc8/oCpD1+LdXhaKP1xVq8+sHv0FXWgeMYBEHEGx/9ibSrx+P+W6fTSgUvO3miHA/d+ymqq+vBN++qzAsCOMDmMAoACLyIvv26eiRGQjyB3omIy/UfEYec355BWESojRbm+62IgojFWV/io+yvPRNgJ7F1dymy8n5ERaVhky5jtzzPC1jySzHe+WyVF6MjAPDWG7+hqqrOlGgAABiDKGV2FxRIpBySZ41xe3zES2jOBiGuMfay/2/vzuObqtL/gX/uTZp0oW0aoLRAK6TsW7E0KCAi0lqURdRWFB1/Otq6zIijaCuODm4jyujX9TsK+BtmRgcVKsoqQ8MiyGZp2HcSlkJbu6bp3ib3fP9IE5o2W9ssTfu8Xy+E5p7cnBxvb56c7RmN577IgPX3t+Y02LZ6Lxiw9oONKNAUeamG/m/5N78AzPYqOAZg3dYjKKHEeD5TWKCDOu+SzbkZTMybkiu3epxrTg2w8OVZCJPRUFi3RcEGIe5zw6iBzVlj+eY/jjPI8iIe//3Xz16sof8qKavC8bMFEJzcdLbvO+ulGpHWrlwutX+Q4yBIRWAiDuKA69lZh43sjzc/fBApc2/0Qg0J8R6as0E8Ji5+EIYmDMZ5e7uOttQcgxRfLvFspboJvbOt42Har6Gyynk50jm1tQ3YvPUYtmw9ivLyGvTu3Qt3zYxHbH+Z4ydyHJhEhIVZszE2PgaBgRLI+/TySp2Jj3W2d8IPezYo2CAe9fzyDCyc/CoMTc6XuHIch/C+/rFBja/1lfeyTAi1x2gUEN2P2tOTzmt+w6tLvkdJaZXl/q+vqsffl29HzEA5eoUGotpBwCcWizBp6jCEhQV5qcakSxDgeIawK8/3MzSMQjxqaIICH+97G6G9HXxj40yBhtFgxIwFU20Wqa9pQGlBBRrrmzxUU/8SFhqEWycOgYi3f8eSSMSYMWm4F2vVc2gulWBh1mqkP/NP/FZS1eaLJmPA1WsV6D1AZvccHAfMuy+RAg3SI1DPBvG4YQkKfJv/Bb5Y9G9s/Hyb9cHmQIPjOdxyz0QMTRhsdfjSqav4+t312LfpMASjgACJGNPvvxkPv3w3ImN6e/FddD1PP3Qr8o7no7auAUYbPRzPPTodIcGUCdmdqqrr8cnK7fjvrlOAwBwuYRUEhotXSnHPfROwYV2e6TrnODAwCEaGmbPGI/3J271ZfdJFeHufDa1Wi+zsbCgUCmi1WmRkZNhNaqpWq6FSqQAAubm5WLlypaVse87TGgUbxCsk0gAs/OxxzHxsOt556BNcu1AInufBGAMv4jHzsel4ptV+HWfztMictQxNjQYIzUsHmxoN2P7NPhz46Qg+Ur2K/opIH7ybrmFglAwrly7Ax6t2Yv/h6/NiBkbLkPHALZgxmXo13Km6pgF/XLwaF6+UAQA45rwnnDFgXMIg3P/AJORsPY6SYj1kEcFIumMsYmJ7drDco3l5zkZaWhry8vIAmAKG9PR0u4lNVSqVJVHqsmXLMGPGDMtz23Oe1igRG/E6xhhO7D2Di8fzIQ2SQDlzPORRsjZlnkh8BYUXiyEY216iHM9DFhmG8beOxPhpIzHtXiUCg6Wor20Az/OQBAZ46d10DcVlVSgorkSvYCniYvvQ5mgesPKrPfhP82Z1AAAjg6jJ+e3zzb/cg6lThnm4dqSzvJmILWno851OxKY6/6FLddVqtVZBAgBERESgoqKiTVm1Wo0ZM2ZYjmm1WsTFxUGj0QCAy+exhXo2iNdxHIext4zE2FtG2i1zcv95XLvwm70TgDGGit8qsWvdr9iZfRCfLPoKvWQhqCyrBgCMUsYh7dkUTLprvAfeQdcT2TsUkb1DfV2NbksQGNZvPWI9IZc37ZPhKKwTiXiMpXTwpDWBmbrGOvN8F6lUKsjlcqvH5HI51Go1EhISrB5PSEjAypUrLT/rdDpL+TVr1rh8Hlso2CAOVevrsHf7KVSUV6NPZBimzBiFIC/MA7h8psD2AfM39ua/mcAAjoPRIKCytMry+Jk8Ld545O947LV7MP+5Oz1eX9K91dQ2tF1uzHFgPAME2wEHz3NISR4DGW3ORVpz0zCKXq+3elgqlUIqtb4/mwOG1srLy20+npqaavn3d999h6SkJMhksnafpzUKNohNjDGs+ccefP35DlPyKBEPo1HAp29vRMaimZh1/0SPvn5giI2AplWgYWFjRYb5G+iqt37AxOSxGDzKs98uBUHAkQNaXNEWIyhYgptuGwmZPMSjr0m8RyoVg+e4NpuosQAOaGIQxByYqPk6FAC+ScD4MTF49ukkH9S26yuqrsK1Kj3CAwMRJ5P3wGG/zu4CanpuTEyM1aNLlizB66+/7tIZ7AUPLY9nZ2dbDZt05DxmFGwQm9Z9tQ+rPsmx/GzO7dBQ34RP/7oR0qAAJM3x3C6HyuSxEAeI2u7PYSvQYMzuzqS8iMfmf+7GH5ct8FBNgWO5F/G3xWtRUlhpWm3AGETi9Zjz4M1If3EmRGKR85OQLk0SIMaUiXHYl6uxWvnDOA5M2ioIFgGCSISho6MR2MPmDjlzobwMb+3dhd1XLlm2ah/Ruw8yb56K2wcpfFo3f5Sfn281Z6N1rwYAyGSyNr0P5eXlTleRZGVlIScnx1Kuo+cxo302SBv1dY34+vMdDsus+iTHOrmUm4XJe2HukzNc+8bjoIxgFHDu8EVs+24/1nyWgxMHNW6sJXD+1DX8OWMVSn8zdWea51sbDQLWf70Pn721wa2vR3znd2mTAI6zXG4MuD5+YuMa/Gb9IezNde/15s/Ol5dhXvZq/JJ/2SonzNmyUjy++QdsOt+DttZ3U26UsLAwqz+2go2kJNu9a4mJiXart2zZMmRlZUGhUECn00Gn03XoPC1RsEHayNt3AXW1jQ7LlBVX4fTRKx6tx+NvpCHlEdMmX7yIdxhUOHLu6BV8+MJqrHp3I16672OkjcrC/q3H3FLHrz/bDqNRMM0daYUx4KfsQyi4XOaW1yK+NWJoFN599V70ap6zZEqaZj/fD89zWLPxkBdr2LW99ctO1BmaYGw9FNX89ys/56DBaPB+xXxBYJ3/4yKFwrrHSKvVIjEx0dIjoVarodVqLcezs7ORkJBgCTTWrFkDmUzm9DzO0DAKaaOqss6t5TpKJBbhT588itSFM7FzzQGcO3wJuaoT1oVY838cBSK8yOp4tb4Obz7xJV778nFMnhnf4frVVNXj193n4Gj1OC/isHPzUTz0DG3e5Cs1dY3Y9PMJbNp9EhX6WkT3DcPd08chZfIIBLRziOumhMFY989n8PO+c/jym19QWKy3W1YQGE6cLexs9buFwuoq7GnVo9ESA6BvaIDqogazhtD+MO62du1aZGVlQalUIjc312pvjKVLl0KpVCIzM9OyTLYlmUyGjIwMp+dxhoIN0kbUgAjXyg10rVxnDRwShd+9Mg+MMXz+8jfYsKLFEI95voaDeRsQ2f5A+XDRakxKGdfhyWlV+jqHgQYA8ByHSl1th85POq+kohpPvfUdCkoqLfPxyiprcfx8IdbvPI6Ps+5FcKCkXeeUSsS447ZR2LbntMNgA4DD7eR7kmtVeruBhpmI43BFX+mV+vgcE0x/OvP8dlAoFHjvvfcAWK82AWAVMCgUCof3NEfncYaGUUgb45SDEBkts/shzPMchozsj8FDo7xaL47j8PS7DyJrRToiIltsZGPuUmSs7cYHEond91FdWYeTuVqbx1whiwixSg9ui1Fg6Ocs+yfxmCV/34KiUr3VxH/zzfSkphCfrt7d4XNPHD/IYYeaiOegHD+ow+fvTmTSQKdlBMZcKtctuGnOhj+hYIO0wfM8/rTkbnA81zwu3fIYB5FYhGf/PMcndeM4DtPTbsLqMx/gT58+ioHDopt7NoCQ8GAMiY9F8vxJiI6LAqRScLzjS/zaxeIO1yUwWILps8aZ5pPYwXMcbp89vsOvQTpOe7UU6tNXbeaNAUzDHJt2n4S+xn5WVkfunD4awUES8HYiDqPAMH+ua5Pnuru4CDmGyXs73gCN55GiGOK1OhHvomEUYlPCpCF4d8Wj+P8fbcPZ41ctj49JGIT0RSkYOmqAD2tnCjpmPnwLUh6agsrSKhgNAiL6hYFvDi5ef3Q5iq7pnJ4nNNz2Xhg1VfXY8s0B/Hftrygv1kPWJxQpaUrMWjAJvVpk6Xz4DzNw8OezqNbXW/K3tPT/FiYjoo+DjLek3RhjOKUtwk97T+PQySuoqW/EwEgZ5t0+DjMmDoO4Ofg7etbOxnAtNBmMOHuxGMoxse2uR2ivQLz/WioWvZmNuvomS48Jz5uWP7/4VDLGjfTt70lXwXEcsiZNxRObf7RbJmN8IuRBPWQDNIEBTgeWnD3fv1BuFDe7VF2Kojo95JIQDA2L7Bab1RReLUdFmWkH0choma+r45KTv2rw4j0fOZw4Kg4QYe2p9xAYZD1mryurxosP/h0Fl8qsxi85nkO/ARH44NtnwIt51OjrIe8bioqyany+dBNy95yz3D96R4bh4T/cjjtTlZ54ez3WwROX8cFXO3C5wDofg3nDrYljYvH+8/MglYjx445jePcfKqfn/GxxKhJHtz/YMNPpa7F5+wnsP6SFwWDE6OH9cXdKPGIHyJ0/uYfZcP4MXt2lgr6xAaLm/2cinkf6+ES8dPMtdnuJvMGruVH6Pwkx34ncKEIDVAXL/Sr3F/VsuMnR8qtYenwrjlVc7wUYEtoXL425A1P7DfVhzToveqAc0QP968Y5SqnAkHExuNCiV6a11KeT2gQaAPDxq9kovFLeZqIUExh+K9DhyTkfobrqetd7RJ9emJ9+G55ePBvFBToEBUswZPQAiBwMr5D223NYg8yPNljnJ2lm3tkz92Q+ln+/FwsfnIaEkTFtyrUmlYgxcnC/TtVLFhaMh+6ZiIfu8eyuut3B3KEjcMfgIci5eAH5+krIAoMwUzGk5/Ro9GB0N3SDI+X5eOSXVThRcc3qcU1VCZ7a/x9sLzzjo5r1XBzH4cMNizDmpjjTAy0mVnEcMO+JaXjkpbvaPK+4oAIHt5+2OSQCjgPjOFTrrZf8VpRW44ulm/DO86sxbOxAhMqCcfzQJVw8X+R0tQpxjcEoYOkqlc1AoyXGGNZtP4a6+ibERkfg5nGD7K4I4TgO86aPRYgXcv2Q6wLFYswZOgLPTLgJC0aP65mBBkMnJ4j6+g20H/VsuMHbR7fAKAgQWl0B5oURbx7ZhGn9hkLM07bV3iQOEOFv3z+HoiulWPv5duhKqzBoeDTm/n4awuW251GcP37VfoBg7qmw09WrOV2Ix+76H6ulriIxD8XwKCzIuA033TrcMqeEtE/uycso09W4VLauoQkXrpZg7JD+WPLUTPzxnWxorpZaVkjzPAdBYFCOjsUz86d6uObdA2MMB65cxbGiIog4HlMH34Dhffv4ulr+y02J2PwJBRuddF7/G05V2t+4hwEoaajG/hKt3w+n+Kuo2D54dul8l8raXVnC2d8p0owBqCyvBloEFEaDgPMnC/DGc6sxLWUMMpemWYZX6usaUVxUicAgCSKjwl2qn7+6kF+Kb/6bh3OXiyGRiBE/tD/m3TYOsVGu7dVSWOp4P4vWuOZ1DxFhwfjHmwuQc+AsNu8+ifLKGvTvG46508fi1glxEFHw59S5klL84ceNuFihg4jjwAC8u2s3Jt8Qi4/n3oWIoCCn5yCtCAKATuyzIXguVYSnULDRSQW1rm1C42o54ltjEgfbSQAHxxuHmYs4WNy3e9sJxI2Ixsx7E/Gvz3cgZ+NhNDSYtmeOGx6NhzNuw+TbRrjhXXhfY5MBjJnmQLRUVVOPxZ9uQu6pK1ZboJw4X4ivt+Th6bQpeGzOTU7PH97L9Q+0kEAJhsRe/9YtlYgx+9bRmH3raJfPQUyKqqrx4DdrUN1gSl/Qcqvxg1fy8eiadch++AEE2Nk4jxAzCjY6SSZxbbwxwsVyxLdCZcFISZuILd8esJnvxCkHnR+MmbLp/rRBjaICHQTj9fNrzxXhjUXf4Lk/z8Fd99rfm0Gvr8Ph3ItobDRAMaQf4oZ2bnKjI4wxy7BDy8dOXijEjgPnUF3XgMYmIy5eK8XZyyUAgCGxfbHgrgm485ZREBjDn95fhxOaIgDWTWN+55+v3Yv+fcKRMslxkDU5fjCCpAGoa2hyOF7NccB9SfEIlFC2VXf4d95hVDc0tslnApgCj5O/FWP7BS1mDqde23ahYRT3UavVSE9PR15ensNyWq0W2dnZUCgU0Gq1yMjIsCR2cXSsqxgb0R8DgmW4VquzWyZELMXUfrRZjb/IeGU2ivLLkLfnHHgRD8EomPcNs8vVX31deQ10VXVt7hXmeSL/+95mTJk+EuER1vt/GAxGrPjf7dj4gxoGw/Vel+Ejo5H12t2Iie2NSxdLsH59Hg4fvgwAmDBhMO6eNwGxsb1Nr11Zi63bjuPs+SKIxSLcpFTg1inDIGnVG3HibAFWr8/FvkMaGI0CBsf2QepdCZg+aRhe/WQTfj1+GSKeh8AYBNbcl9Ock0ybX4o3v9iKExcKMWn8YEug0RqH63Oa/rnpIO64ebjDZeJB0gA8cc8kfPqt4x0/J8cPRsZ9kx2WIa774eQpm4GGGc9x2Hj6DAUb7UXBhnuYAwS1Wu20bFpamiUg0Wq1SE9Pt+zV7uhYV8FzPF4cnYznc+3Xa+HI6QgSty//AvEdiTQAb375e+TtOYec7w+hpFCHPlHhqK1rgnrfBZvP4QAwFzPTMsH+cIzRyLB9y1Hc+5D1B+aytzdi1/aTbe4x588V4bmn/oUHH52CFSt2guNM5wCAa9cqsGGDGotfmQuRRIS339sIg8E01stxQM6Ok4jsG4r335mP2BhTQJKz5zTe+niL6TzNPTsX80ux7IttWPn9XpRXmVbiGJvHjC0Z1psnyJsnSa9THcWlwgrLpEy7bQZAc7UMJRXViJSHOmy3h+6cAEEQ8OUP+9HQaLRKiRM3sA/S752EqQk0D8Od9A0NDo8LjKG81rMJGUn34JFgw9UELS3T2gKmJC8qlcrpsa4mZcBovCsY8M6xn6BvqgcPDgIYgkQBeHbkdDyscD4mTboWnuehnDYCymnXu/ebGg34n1eysWtL2/T0jOcAF5JuOfs+wos4XG2Vkv7smQLsVJ20WV4wMtTU1OOLL3a0PdYcLLyzdAOEAN5q2ag5ACgtq8YLL3+L//wjAzV1jfjrpz+Z9qywyiUCMA4orbSfUI5Z/gOAM+UF0VwtcfkLWJPB6LQMx3F4ZPZE3DsjHrvzNCjX16KfPBRTExQ0bOIhMeHh0JSV271uRRyHQRHeScjYrfTAHUR9OmdDpVJBLrfeLEoul0OtVuPQoUN2jyUkJHizmi6ZGxOPmf1HY1fRORTVVUIuDcH06OEIEdMa/u4iQCJG1vsP4P6Mafj3JyqcPZaPxgYDomN7Y/i4gdiUfcj5SXgnq1oYENzL+ppRbT0BkYiH0dbeHwAMTl7SaJ7caoMgMJSWVWPn7jMo1tfY3ceCOZkga37U/GyjwFDfYLDs7GnznM1/h4VInfZqtNQrSIq7bhnlcnnScQvGj8Nb23fZPW5kDPfHj/FehboJxgSwTmR97cxzfcWnwYZOp7P5eHl5ucNjtjQ0NKChRZefXt++pXLuIBGJcccAugl2d4OHRWPJZ79r8/iohEH47K8bUVtj3fXMcaZcGdNSxkBfU48jv160+6FuNAqYlmx989ZV2A8CADjdmo+Zxyvs4DgO+w5cgBAkArNXsAO7SIcGSVGid7w3BscB994ejwAxrWboiu4fNxY/njqNE0XFNoPG+ePG4Mb+0T6oGfE3XXI1ir1Aw9GxpUuX4o033vBMhQhxwe2z4nFL8mj8vPU49m0/Be050+TIG+IiMSttIpRTh+L0sas48utFm3MZeJ7DhElDMHRkf6vHe/cJBc9zlrkY7sYYQ0OjAcGhEktg1LYQXNpnxIznOaRMHoEGoxFrc47YLM8BGKWIwu9dWPpKfCMwQIyv5qfig917sfbYCdQZTP1ovYOD8IQyEY9PnODjGvopxjo3FNKdJ4iuWLECGo3G7vHk5GQkJSW168VlMlmbnory8nLIZDKHx2xZvHgxXnjhBcvPer0eMTHOcyMQ4k4SiRjJc29E8twbbR4fPT4Wr/3tAfztL+tQW9MAsbh5VYeR4aapw5D19n1tnnPHnWPx/XcH7b4mxwDwzidi2sPzHIbG9cMNcX2Rs+e07XMIzee3E29Yzs+ZVihIxCKkJt+IqD6hGNA3HKs2/IrK6jpL2ZAgCR6ZpcSCmRPa7M1BupYQiQR/SZqORbdOgaasHCKex7A+vWlvjc5gnZyz0Z2DjYyMDLe/eFJSEpYvX97m8cTERCgUCrvHbJFKpZBKaX4E6fom3zYC3257CbtVJ3FFW4LAoABMuX0UBsVF2iyvGNIPd84Zj582HmlzTCTiEBISiMp6+6sGeAEwOvpcYMDsO+Mhl4cgqm8YSsqqLCtRzDgAvJEBEtOYjdVk0+bjnMj0ZS04SIL3F81DdF9TNsoHZ05AWvKN0OSXosloxA1REQgNCXRQIdIVhUgkGBcd5etqED/l8a8UOp3OqjdCrVZDJpNBoVBAoVBYldVqtUhMTLT0bNg7Roi/kwYGIHn2eJfLP/finZD37oXvvzuI+romy+PxCYPwQtYsHD58Ge+/v9lquEUk4sAYkJk5C/tytdi5+4zV8I05R8jzz96BqH6m7dI/WpKG515fg99KqyzHed60+ffLz6QgNqY3Vv1wAPsOa8EYEBIswbhhAxASLIFYLEL88AFImTwSQYHWq0PEIh7DB9kOpgjpcQTB1F3YUX44QZRjHkhLqVKpkJOTg2XLliEzMxNKpdKyHDYtLQ1KpRKZmZkATEHE8uXLoVQqkZubi8WLF1tt6mXvmDN6vR7h4eGorKxEWFiYu98iIT5RV9eIE0fz0dhowOC4SPQfcH3ZoUZTbNrUS30JAIfExEG4++4JGDS4L4xGAT9tO4bsH/Nw6bIpKdnECQo8kDYRN8bfYPUajU0G7Np/DnsPadHYZMCwwZGYkzQOfVokr6tvaEJdQxNCQwIhtpdPhhA/4o3PDPNrzOi1AGKu43svGVgjtlev9qvPN48EG10BBRuE2GYwGMHzvNU25IT0dN4MNm4PfqDTwcaO2m/96vONZmYR0sOIaZkpIcTLKNgghBBCvIlWoxBCCCHEowTWvGa9g/ww2KCZXYQQQgjxKOrZIIQQQryJmXIkd+75/oWCDUIIIcSLmMDAOjGM4o+LSGkYhRBCCCEeRT0bhBBCiDcxAZ0bRvG/HUQp2CCEEEK8iIZRCCGEEELcrNv2bJgjP71e7+OaEEII6erMnxXe6DUwsIZODYUY0OS8UBfTbYONqqoqAEBMTIyPa0IIIcRfVFVVITw83CPnlkgkiIqKwi9FWzp9rqioKEgkHc+v4m3dNhGbIAgoKChAaGgoOM67Caf0ej1iYmKQn5/vN0lyujJqT/ei9nQvak/38lV7MsZQVVWF/v37g+c9N8Ogvr4ejY2NnT6PRCJBYGCgG2rkHd22Z4PneQwcONCndQgLC6ObjxtRe7oXtad7UXu6ly/a01M9Gi0FBgb6VZDgLjRBlBBCCCEeRcEGIYQQQjyKgg0PkEqlWLJkCaRSqa+r0i1Qe7oXtad7UXu6F7Vn99RtJ4gSQgghpGugng1CCCGEeBQFG4QQQgjxKAo2CCGEEOJR3XafDV9Qq9VIT09HXl6ew3JarRbZ2dlQKBTQarXIyMiATCbzTiX9RHvaSK1WAwASEhKg1Wqh0+mQkJDgxdp2Pe1pP7oenaPr0b3oXtkDMeIWa9euZXl5ecyVJk1ISLD8W6PRsNTUVE9WzS+1p40yMjIYAAaAJSUlsYqKCi/UsGtrT/vR9egcXY/uQ/fKnol6NtwkNTXVpXJardbqZ4VCAZVK5Ykq+a32ttGECRNQUVEBAPStB+1rP7oenaPr0b3oXtkz0ZwNL1OpVJDL5VaPyeVyS9cr6VgbyWQyurE3a0/70fXoHF2PvkHXZvdCPRteptPpbD5eXl7u3Yp0Ye1tI51Oh+zsbABAbm4unnzySSgUCk9Vr8trT/vR9egcXY++Qddm90LBRhdh7xeLXGevjVpOGlMoFEhOToZGo/FexfxEe64xuh6do+vRN+ja9E8UbDiwYsUKhzeJ5ORkJCUlteucMpmsTWReXl7eI7pcXW3P9raRVqu1zPY3z1rXarU99ttke9qvJ1+PrqLr0Tfo2uxmfD1Dtbtx1qQajcZqhjVjjMlkMpqx3kJ72igvL4/JZDLLzxUVFQxAj27P9rQfXY/O0fXoGXSv7FlogqgHtO7mU6vVlpnVrb/daLVaJCYmUrTegrM2at2e7733nqWsSqVCampqj27P9rafo7KErkdPontlz0GJ2NxEpVIhJycHy5YtQ2ZmJpRKpWWJV1paGpRKJTIzMwGYfmmWL18OpVKJ3NxcLF68mH6BWnHURq3bU61WQ6VSQSaTQaPRWN3se6r2tB9dj87R9eg+dK/smSjYIIQQQohH0TAKIYQQQjyKgg1CCCGEeBQFG4QQQgjxKAo2CCGEEOJRFGwQQgghxKMo2CCEEEKIR1GwQQghhBCPomCDEEIIIR5FwQYhhBBCPIqCDUIIIYR4FAUbhBBCCPGo/wOvIWskCrbXQgAAAABJRU5ErkJggg==", "text/plain": [ - "Text(0.5, 1.0, 'Values of the DTM on X with parameter m=0.1')" + "
" ] }, - "execution_count": 4, "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, "output_type": "display_data" } ], @@ -222,13 +196,13 @@ "' Compute the DTM on X ' \n", "# compute the values of the DTM of parameter m\n", "m = 0.1 \n", - "DTM_values = DTM(X,X,m) \n", + "DTM_values = utils_dtm.DTM(X,X,m) \n", "\n", "# plot of the DTM\n", "plot=plt.scatter(X[:,0], X[:,1], c=DTM_values)\n", "plt.colorbar(plot)\n", "plt.axis('equal')\n", - "plt.title('Values of the DTM on X with parameter m='+str(m))" + "_ = plt.title('Values of the DTM on X with parameter m='+str(m))" ] }, { @@ -254,24 +228,12 @@ }, { "data": { + "image/png": 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", "text/plain": [ - "Text(0.5, 1.0, 'Persistence diagram of the DTM-filtration with parameter p =1')" + "
" ] }, - "execution_count": 5, "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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69UydOpV9+/Yxe/ZsRo4cmdBVUbG0V0mjDIini+WkJvZpMh2l1BSl1Cql1KriYpnkRgjR8SorK7n55puZMGECp512Gs8//zwjRozoVMGiRnsFjZUcLCXkAUvrb6CUctdbFGufJtPRWs/VWhdorQu6d5ehp4UQHUdrzYsvvsiQIUPYsWMHL7/8Mj/60Y+w2WxN75yg2qV6Smu9SCk1I9Jw7Y5qyF6qta4pXWQDJXHsc8gyIYRINOvWrWPq1KmUlpby4IMPMnz48E5ZsqhPHQkn0ZCCggK9atWqjs6GEKILKS8v5+677+b5559n+vTpXHDBBRhG5+pHPXz48NVa64JY6zrXmQghRILSWjNv3jyGDBlCcXExixcv5sILL+x0AaMpneMZLyGE6EBFpR7e/noP2/Z76JOVzJnDetG/W2rt+i+++IKpU6dSXV3No48+yrBhw46IqqhYJGgIIUQjth+o5rE3NwCQ6rKzflc5X+0o47cTj6F7Upg777yT+fPnM336dM4//3wMwzhiAwZI9ZQQQjTqv58XoRTkpLlIctjITnPhsinumP0YQ4YMoaysjMWLF3fKtouWkJKGEEI0onBfFRnJB6dTLSpcz7+e+CO+QJDH/vwXhg0bekSXLOqToCGEEI3ISXNS6Q1hC1Xy1vOP8dXHb3Hyj6Zw3ElnM2RITpcKGCDVU0II0agzh/ZkxZuLeOh3FxAKBbn89/+gb8FZjD0qFaVUR2ev3UlJQwghGrBq1SqmTp1KhTfA+dMeICN3MMpQTOiXwsjeSR2dvQ4hQUMIIeo5cOAAt912G6+88go33ngj3//+9zE1eIMmSQ4Du9H1Shg1pHpKCCEiwuEwc+fOZejQoQSDQRYvXsw555yDUgqboUhz2bp0wAApaQghBACfffYZ11xzDXa7nSeeeIJjjjmmyzVyx0OChhCiS9u/fz+33HILr732GjfeeCNnn302gASMBkj1lBAiYVT5gry3fi8vfryVD77dS7U/1GbHCofD/O1vf2Po0KEYhsHixYtrA4ZomJQ0hBAJobjCx1/e2kClN4TTpvisULPs671MO/tYctJcrXqsFStWMHXqVJKTk3n66acZNGiQlCziJCUNIURC+M+aXXj9IXplJpGd5qJnRhKV3hBvfFHUasfYt28fV155JZMnT+ayyy7jiSeeIC8vTwJGM0jQEEJ0OK0163aWkV2vRJGd6uCLbWWHnX4oFOKxxx5j2LBhOJ1OFi9ezMSJEw873a5IqqeEEAnBaTcIhTVO+8FHWsOmxuU8vN+2H374IVOnTiUjI4NnnnlGqqIOk5Q0hBAdTinFqcd250CVv/aGbmrNgSo/E47t0aI09+zZw+WXX85Pf/pTrrzySh5//HGpimoFEjSEEAlh0vBc8gdks6/CR3Glj+JKP+MGdeN7Q3s2K51QKMSjjz7K8OHDycjIYMmSJZxxxhltlOuuR6qnhBAJwWk3+MWEPM6pyKWkKkC3dBfd0pv31NT777/PNddcQ7du3Xj22WcZMGCAlCxaWbsFDaXUZKAMyNNaz42xPh/IA9BaL2pon6bSEUK0neB33+H/8EO0x4tz7Bico0ej7K17G+mRkUSPjOYNBlhUVMTNN9/M+++/z8yZMzn99NMB6aDXFtqleipyo0drvSzyPtZjC7dEgkW2Uiov1j5xpiOEaAPeN9+k/O7f43v3ffyr11D5yKNUPvZXdDjcYXkKBoM89NBDjBgxgpycHBYvXlwbMETbaK82jTFAYeR1IZAfvVIpNQVYqZTK01rP1VoXNrBPo+kIIdqGWV5O9T9fxOjRA1vPnti6dcPo05fAqlUE163rkDy98847jBo1itdff5158+Zx9dVXk5yc3CF56Uraq3rKXe99Tr33gyL/liilngRmNrBPU+kIIdpAaMsW0BrlODjtqVIK7A4CX3yBc+TIdsvLzp07uemmm1ixYgWzZs3i1FNPBaQqqr20V0mjDMhuYpvNWusyYDUwpYF9mkxHKTVFKbVKKbWquLi4JXkVokvbvr+aRZ9u59n3N7O68ADBkIlq6Bd8OISRkdEu+QoEAsyZM4dRo0bRq1cvXn755dqAIdpPe5U0VnKwlJAHLI2xviYYuLGCQ2GMfdxNpEOkcXwuQEFBgfz0EF2aDoUIrltHaOcubD264xwxApXUcCPzp5v289KKbdgMsBkGa7eWcmzvA1x1Wh62bt0JHziAkZ2NUgrT4wHDhuvEE9v8PJYtW8a1115Lv379mDdvHv3795eSRQdpl6ChtV6klJoRabh2RzVkL9VaT6q3nqgnpWLtc8gyIcShTI+HitlzCG3abC1QCqN7NzJvuxVbt26HbO8LhHl55Q6yUh047TbAqvLZsLuCr3ZVMPKmG6n4858JF+0GQ6FcSaRPn4atV682O4cdO3Zwww03sGrVKmbNmsX48eNr8yU6hjqSP/yCggK9atWqjs6GEB2ieuFCvK/8CyO3j9X+AJh79+AYNYqM6687ZPvNeyt5fNlGuqfXLYmUVgc4vp+by04ZiNaa8LZt6EAA+1FHoVytO/psDb/fz8MPP8xDDz3E5ZdfzqWXXoqrjY4lDjV8+PDVWuuCWOukc58QRyj/+x9i5HRDKWXd7IuLCe/cRWDdOlRGBik/vKBOiSPJYcM0rV/xNUEGIBjWpCdZtwqlFPYBA9o032+88QbTpk1j0KBBvPDCC/Tt21dKFglEgoYQRyqbAWETgPCOHYQ2bQKbDa3Bv/wdgmvW4P7jHzCysgDIzUqmT3Yye8p85KQ5UUrhD4bRaMbktf2Dilu3buX666/nyy+/ZNasWZx88slorSVgJBgZe0qII1TS976HeWA/ZihEeMsWqwHcNLHn5mLr0wezogLf8ncAq3QR3rqVX/YM0DcZ9lX42VfhwxMMc9n4gfTJTmmzfPp8Pv7whz9QUFDA4MGDWbhwISeddJIEiwQlJQ0hjgDaNAl9u4Hwnj0Y3bvhGDKE5O+fTWjDBvyffor2esE0MdLScAweDIBKTSO4fj3h4mIqHn6E8M5doBT/YzPwX/RjAiedQq47GZfD1mb5fu2115g+fTrHHXccL774Irm5uRIsEpwEDSE6OdPrpfKhhwl++23tMlu/fmTOmkn6zTfh+vwLym+/A6NnT2zdcgCrvUJ7PBi9e1P558cI796D0auX1f7h9+Oa/wI9hg7G0X1wm+S5sLCQ6667jvXr13Prrbcybtw4qYrqJKR6SohOzvvqqwS/WY/ROxdbbh9suX0I79xJ9YsvoZTCNXoUKRf+EHw+dCiM1hqzogIUOI8/ntC2rRjdu9c2fiuXC+x2/B980Pp59Xq5++67GTt2LEOHDmXBggWMHTtWgkUnIkFDiE7O/+57GN261XniyejRE//HK2oHE0y9/DKSzj0HXVqCuWcPRno6mTNmYORkgzLq7AuA3Y6uqGq1PGqt+fe//82wYcNYu3YtL730EpdddhmOqGFJROcg1VNCdHamCU00OyiXi7T/uZTUSyajfT5URkZtVZRyOtFeb+1QIVpr8HpxjIn5mH6zbdq0ienTp7Np0ybuuOOO2pKFlC46JylpCNHJuU47DfPA/jo3YbN4H66TTkTZ6kYT5XJhZGbWqYpKvepXmOVlhHcXEd6/H3PXThwjhuM6zKDh8Xi44447OPHEExk5ciTz589nzJgxEiw6OSlpCNHJJV/wA4Lffkto0ya0qVE2A1vv3qT85Cdx7Z80bhz2Pn3wf/QRZnk5ztGjcY4aVWdE2+bQWvPKK69w/fXXM3r0aBYsWECPHi2b51skHgkaQnRyRkoKmXfcTvCbbwjv3oOtWzccw49v1k3f3rcv9jiDTGM2btzItGnT2L59O/fccw8FBQVSsjjCSPWUEEcAZbPhHD6c5LMm4cwf3eJSQktVV1dz6623cvLJJ1NQUMA///lPTjjhBAkYRyAJGkKIFtNas2jRIoYMGcLGjRtZuHAhP/3pT7G38rzhInHINyuEaJFvv/2Wa6+9lqKiIu69917y8/OlZNEFtEpJQyk1oDXSEUIkvqqqKmbOnMmpp57KySefzAsvvMDo0aMlYHQRLQoaSqmM6D+sOb2FEEcwrTXz589nyJAhbN26lUWLFnHJJZdIVVQX06xvWyl1FfAkoLEGsIn+97etnjshuoCaX+iH9Mquv51pgmmiOuAm/fXXX3Pttdeyf/9+Zs+ezciRI6Vk0UU19+obBGRprcujFyqlHmi9LAnRNYT37qV6/gICK1ehkpJImjSRlB9ecMhseGZVFZ4FC/G9/z6EwzhPOIHUS3+OrXv3g9tUVhL88iu0z4f9mKOx9+vXKnmsqKjgnnvu4R//+AfXXnstP/zhD7HZbBIwurDmBo2V9QNGxP2tkRkhugqzqoryP9yLWVGB0aMHhEJ4X3mF8O7dZEyfVrud1prKhx8huGEjRs+eYBgE166lfMsW3A/cj5GcTPDbb6l48CG0zwdagzJIOuf7pP78Z02WXhqiteaf//wnM2bMYMKECbz88stkZ2e31umLTqy5QaNUKTVAa7213vJLgKdbJ0tCHPn8Kz7BLCvDlptrLbDZMPr0JbByFaFdRdj7WMtDmzYR3PgdRm7uwaE/evYiXFREYPUaXOPGUvmXx8DhxJZtza6nw2F8//0vrlGjcAwb2uy8ffXVV0ydOpXy8nIefPBBRowYISULUavRoKGUerP+IuAEpVQJUBhZlgMMpImgoZSaDJQBeVrruTHWlwKrgKVa6zkN7dNUOkJ0BqHtO6BeBzylFNgMzOJ9EAka5v79oGK0dyiFuWc3oS1bMKuqsPXqfXCVzQZ2B/5PPmlW0CgvL+euu+7in//8J9OmTeOCCy7AMAwJGKKOpkoaCqvhu6yJbWY0moh1o0drvUwpNUUpNVFrvazeZpdEL4u1D+COIx0hEp594FH433mnzjJtmhA2sfXoWbvM1rs3REaErRM4tIntqKMaP4gRX9WU1pp58+Yxa9YszjjjDF5++WWyIvOGC1FfU0FjptZ6bVOJKKUONLHJGGB+5HUhkA/Uv9m7lVJ5WuvCRvbJiSMdIRKea+xYvK/8m/Ce3RjdukMohFlcjHP8ydhyD5YabEcdhXP0aAKrVmN06waGgbl/P7Z+fXGOHAlKYaSlY1ZWYqSnA1Z7SWjLFnymSWjbDpLPPw/nCfkx2ze++OILrrnmGjweD48++ijDhg2TkoVoVKP9NJoKGDWd+uIILO5673NibJMNlCilnmxkn3jSESLhGWlpZN55O66TT0aXlkIoSMpPLiF9ylV1tlNKkT71GlJ+com1IOAn6Zyzybz1FpTTiXI4SL9uGoSChIuKCG0pJPDxxyinAyPLTbioiMqHHsa3rO5vq7KyMq699lrOOusszj33XJ599lmGDh0qAUM0qbn9NH6ttX667iJ1JjCw3vL6yrCCQoOi2izKotot6u/TZDpKqSnAFID+/fs3tqkQHcrWrRvpv7kafnN1o9spl4uUCy8k5cILY653HHMMWY8+QvCLL/G+8TqgsA8caO2blIxOTsazYBFJEyagHQ6ee+45br31Vs466ywWL15MZmZmK5+ZOJI19+kpd/QbrfUWYItS6tdN7Lcyat88YGn0ysiNfpXWek0T+7gbSyeSp7nAXICCggL52SS6BCM1FdfJJ+F9/XWMqP4bYAUds7SUVe++y7S77yYUCvHYY48xZMgQKVmIZmsyaCilbsZqX9BAvlJqTL1N3FjtCw2WNLTWi5RSM2oas2sar5VSS7XWk4AFQF5U4/eiyPpY+xyyTAhhseXmEtqxE9LSapeVVFVy72ef8N83X+e666/nvPPOs6Z6lYAhWkDFe+FEen3ncbAhukZhPI3lHaGgoECvWrWqo7MhRLPoYJDg+vXoyipsAwbU9tmIR2jLFsruugeVkoJOS+OFLz7n3g8/4NwxY5nywP1kZGS0Yc7FkWL48OGrtdYx5/uNu3pKaz1LKXWm1vrt1suaECJaeM8eymfPwSzeX7ssaeKZpF5+GcpoenxR+8CBZNx8Ix/O+RM3L1qAYRg8NXUqg//nf9D15gsXoiWa1aZRP2AopTKBicBmrfXnrZgvITolbZqEtmwFnw/bwAEYKSnx76s1lY8/gVleUdtTXJsm3jffwjFsKM6CAkIbN+L/bCVojWtMAfbjjqvzKO2BAwe49a9/5d/LlnL9dddxznnnoRwOpCJKtJYWDZcZGQ695imm1VhDo8sot+KIZpaXE9q+HSM1DdvAAYf0ewjv2UPFI48SLioCZaBsNlJ/cTlJp58WX/rFxYS2FGJE9+42DIzUVHzvvkdo+w68i5eA3Q5a43vjTZJ/cD6pP/sp4XCYp556irvuuosf/OAHLF68mPRIvw0hWlNzH7k9E1gItT9caoZFv6rBnYTo5LTWeF99Dc/CRZEFJrb+/cm48QZskUH8tNZUPPpnwsX7sfWOlBL8fqqeeQb7Uf2x9e1LeF8xRloqRkOPuIbDEGuAQcPALC3Fu2QJRs+etUOj63AY72v/5fPUFKb//vc4nU6eeOIJjjnmGGnkFm2muSWNiVrrbLACiNb67UgV1QmtnzUhEkPw66/xvPiSdcN2ONBaY+7cSdX/Pk7mHbcDEN62jfCuXXVLCS4XKIPK5/6BuWcPeLxorXGdNI7UK67ASE6ucxyjVy9sPXpilpej3G7ACkZmZQWOEccT3ra9zlwaB/x+7lnxMW+//ho33XorZ599du0+QrSV5s7cF/0o0kCABoZKF+KI4V/+DiQloSIDDCqlUD16Ety4kfC+fQDWsOSGcUiVlenz4V/+DsrhxOjVC6NnT/wffUz1s88dchylFOm/+y2gCRftIrxrF2ZREa6CApyjRlvleiBsmjy9Zg0n/98zpBgGr95/f23AEKKtNbekUaaU+pHWejGQpZQaqbX+AmsMqOWtnz0hOp7pqT5ktjylFCiF9vsBsB91lFUK8flQSUlApJRQVIStezdUpFShDAOjdy7+j1eQ+vOfHVJVZc8bSNZDD+JfswZdXo5j0GDsQ45De72o5GQ++W4jMz/+iDSHk3lnnMGxycl4RoyQhm7RbpobNEqA2UqpNVi9rlcrpbKwOucJcURyjh1H8Mt16MzM2pKEWVWFkZ5ujUILqORkUq+8gqq/RYZOs9vB78fIcmNEjVoLVuBAgVlVHbN9w0hPJ/m0uo3n+6qquHl/McuWLuWWocM4L7cPKsmF72c/RUd15BOirTX3kdu1QHSHj8FKqdGJ2rlPiNaQNP5kAh9/TPCb9eB0QjiEstlJveG6OiWQpJNPxt6vH/6PPsasqsQ5chSh7dvxLlkCUcFBe72olBRsPbrHOlwdoVCIxx9/nD/84Q9MnjyZV956i7QDB/BrCPftY+VHiHbU7EduI4/b/hhYFpnBTwbeF52ODoUI792LSk6ufQKqIcrlImPmDAJr1hBY9zW2rCxc40/G1rPnIdva+/XD/tOf1L53HHsM/o8+Ily0C5WWblVnBQOk/e63tW0kDfnggw+YOnUqbrebZ555hkGDBllVXtKrW3SgljxyOxtrMMFCYCvWgIVnaK2lTUN0Cv61n1P99NOYFZWAxjliBGlTrmr4UVhAORy4xo3DNW5cs45lZGTgvutOfO+8Q+CLL7Hl5JB01iQcxxzT4D67d+9mxowZvPPOO8yYMYMzzjgDkKeiRGJo7tNTk7TWBVrr3xJ5liMy0q2UNkSnENqxg8pHHkGjsPXujdGzF4GvvqLyfx9vs5uykZlJyoUX4r7rTtKnXtNgwAgGgzzyyCOMGDGCjIwMlixZUhswhEgUza2e+qyB5fITSHQKvvffB6yhxCHyNFPPXgTXr8fcvafOrHnt6b333uOaa66he/fuPPvsswwYMEBKFiIhNTdojI0MZ26V66mdvW8ssLiV8yZEq9P7S1BOV51lSimr13VVJTbaN2gUFRVx00038eGHHzJjxgxOP/10K58SMESCam711P3AWqXUSqxHb7/DGlbkvlbPmRBtwD5iONrrqbNMBwIow8DWt2+75SMYDPLggw8yYsQIcnJyePnll2sDhhCJrLmP3JZjPWY7GatHeKHW+uU2yZkQbSDpxHH4lr1NeMsWVHo6OhgEv4/UX1zerBFpD8fy5cuZOnUqubm5zJs3j/79+0vJQnQaLRrltmZmPSE6G5WcTOZtt+D/4AP8K1dhy8wk6YwzcAwbesi24dJSKh/7K7533kXZ7SRNmkT6Vb/CyDr0uY9wcTGelxcTWLkKlZpC8tlnk3T2WXX6cezcuZMbb7yRTz/9lJkzZ3LqqacCUhUlOpe4gkak3WI21nAheViP264B7osMIyJEuwuXlBIu2oWRlY29Ty5mdTXe11/H//4HEAziGDWK5PPPw96nT539jBTrpp7cyHhNZkUF+//ncsLbtqGSkzG1pnrePIJffUX23CfqDDZoVlZS/vs/YJaXY+R0g1CIqudfILx7N2m//hWBQIBHHnmEP/3pT1x22WUsWrSIpMhQI0J0NvHMEX4V8CSwDGvokDKsecEHAe8ope7VWj/UhnkUog5tmlS/+BK+N94AZYBpYsvNJbB5E+GN31nDi9vtBDcXEvj0UzLvuRt7v37NOoZn8RLC27djZGfXDh2iXS6C677Cv+ITks/4Xu22/o8+wiwtxZYbCU4OB7Y+ffC99x4fZGZw3e23M2DAAJ5//nn69esnJQvRqTUaNCKd+a4GshoYzfY3SqkF0rlPtCf/hx/ie/U1jNxclM2GGQrhffNNCIcw0jNQTifaNDFLSzAzM/AseYWMadc27xgrV4LdXmfUWmW3o01N8PMv6gSNUOEWcNUtOeyqquKW999j3TvLueWOOzjllFPQWkvAEJ1eU09PTY505mtw+HOt9Y+BS5o6kFJqslJqolJqShPbzW5sn3jTEUcu31tLUZmZqJo5rysrwW5He7xgt5ZZ82krtM9PaP36Zh/D3qs3hMN1bvJaa7RpYs8bUGdbW//+EBnt1h8K8dCKjzn9ub9zXFoai//+d8aPHy/BQhwxmgoaMaYRi6nROTUiT1uhtV4WeT+xge0mYrWZxNwn3nRE5xDauRPf28vxffAhZkVFXPuY5eXWHBZGvUtXKetqDZt1lweDGD16NDtvyZdcjJGWhllVZZVaTBOzrAxbz54k1eulnXTKeIy0VN5cu4bxf3+GVTt38Mr4U7j6Rxfj7N0xnQWFaCtNtWlsjjOdA02sHwPMj7wuxGpQXxa9gVKqpoG9sX1ymkpHJD6tNZ4FC/D+5zXQJqBQSS4ybrgh5lNMYE1yVPXsc/g/+pjw7t2YxcXYjz8ee58+qIwMlGlCRqY1IKBhWJ31gkEMh4PkCy5odh6dxx1H5u/voWLOnzD37kGbGsdxx+F+4D6MegMGbi8rY/rWLXy1dg13HjeU0/r1I3DiOPxxzg0uRGfSVNCIt0zd1Hbueu9zYmyTp7VeFlWHHGufeNIRCS60YQPef7+K0atXbRWTWVVFxV/+QvZf/mxNk1pP9Qv/xPf++9h652LLycG/ciXBL79A+/0YyUnYBg1CKYVZUkJ4zx5rMiS7HQUEv/wSx7HHYDRz3onkiWeSNOFUQrt3YyQnY6tXYvH5fMyZM4e//OUvXHHFFdx133047XaqIxM0CXEkaipo/CRyEy9rZBs38BPgwUa2KQMaHH9aKTWxpsqpiX0aTSeS1hRgCkD//v0b21R0EP9nK8FmO9gmARhpaYT37Ca0uRDH0CF1tjc9ntqAoWw2sNlwnTiO4KbNKJuNlMmTcZ16Cspmw796DVVPPY32erEPHADKwPf2ckJbtpB5912Rto74KacTx1FHHbL81VdfZfr06QwZMoQXX3yR3lINJbqIpoLGCcQ3gu3AJtav5GApIQ9YWm99SaR9wg3kKaXyG9jH3UQ6aK3nYj0aTEFBgbQ+JqIGb9yxf51rjwe0rhNksNmx9e2LkZ5Gyg8PVj/ZMjNRNgN71EiyRu/ehAq3EFr/bYPVX/EqLCxk+vTpbNiwgVtvvZUTTzxRGrlFl9LUz645WuvBTf0BsxpLJNKDPK8mMEQ1ZC+NrF8TWZZNJCjE2qehdETn4hpTAOEQOhSqXWZWVqJSkrEPHnTI9kZ2NoY7C7Oqqs5yXV6Oc9SoOstC+/aBWfcmbpWWNaF9ewnv2YNZVtbsPHu9Xu666y7Gjh3L0KFDmT9/PuPGjZOAIbqcpkoaT8aZTpPDimit50ReLotaNqneNrWlhEb2OWSZ6FzsxxxD8kUX4X3lFas1TEUawm+8ARVj+lJlGKRe8UsqH36EsMeDSkpCV1ViZOeQdNZZddPu1fOQ9gStNeGKSqqf+wfVpgla4xw9mrSrfo2Rnt5oXrXW/Pvf/+a6665jxIgRvPTSS/Tq1etwPwIhOi11JP9SKigo0KtWrerobIgGhIt2E9y4AeVy4Rg+vMmG6tCWLXiXLiO8Zw/O4ceT9L3vYbjddbbRoRBld91DeNtWjO49wDQJ79xJePduHCNHYKRnWI/Q7t2DY8gQMm6ZVacDX7RNmzYxbdo0Nm/ezKxZsxg7dqyULESXMHz48NVa64JY6yRoiIQS2rYN3zvvYhYX4xgxHNcpp9ROmBQvs7ISz5JXrDGoDIVKTcPctxdbn4NDn2utMffsxv3AA9j75NbZ3+PxcN999/HEE08wZcoUfvzjH2O3t2hsTyE6pcaChvxPEAnDv/ZzKh95BFAol4vA55/jW/Y2mXfd2azHZY30dNIuv4y0yy8DoPKv/4u/XudBpRQoA11RDpGgobVmyZIlXH/99eTn57NgwQJ6tKBjoBBHMgkaolXpQIDgxo0QCGI/enDMNgOzqgr/ylWYu3djyxuIa/RosNupfuYZVFr6wQCRlUV4l9VrPPoJqeayH388/hWf1M1nMAiGqp14acOGDUybNo3t27fz+9//noKCAqmKEiIGCRqdgPb78a9ZS2jTd9h69MR14jiMzMyOztYhgpsLqXzoYczKSmuB3UbaFVeQNOHU2m1Cu4qouPdezIpKsNkgHMLTty9pv/41ZkUFtl51+zuojEwCa1YfVtBIGjcW31tvEdq6FSPTDcEg2lNNys9+hkcp/jhrFk8//TS/+c1vmD17Nna7XQKGEA2QoJHgzOpqyu97gPDWrWC3QziMd/ESMm6dhT1Gp7OOogMBKh96GB0OY4t0dNN+P1VPPY19UF7tnBbVzz2H6fNjy80lfOAA4W3bCHz+BcGv1oFporr3wIjqj6EDAQx3PF2FGqaSk8m8/TZ8y98hsPIzjPQMXGeewb+++46bhg5l3LhxLFq0iG7duh3WcYToCiRoJDjfm28R3rqlTiNu+MABqv7vWTLvvrPBJ3/aW3DjRszKytqAAVjDgWiTwGefYb/oIkyvl+A332D0zsUsKyP4xRcohwOVkYFZcgBl2Ah9vQ7H8cNRhmGNI+X1kjRpUiNHjo+RkkLK+eeRcv55rF+/nmuvvZY9e/Zw3333MXr0aClZCBGn5o2pINqd/+OPUVl1R04xsrMJFW5G11QDAabXi/b52jt7BwWDsZcrA+0PRF4aVpWUaRLauhVls6GcThRgOF04R46AQMAakHDvHnRVJalX/BLn8cMAa/Il0+NBm2bsYzWhsrKSm2++mQkTJjB+/HheeOEFRo0aJQFDiGaQkkaCU0lJUFVdd6FpWh3YHA7Ce/ZQ9exzBNd9DUrhHFtA2mWXHdJ/oa3Zjz4a7Da031874KA2TTDDOEeNtM7F5cJ10on4P/wYs7oa5XBYc1T4/dgHDEClpWPr04fMP/wewia23N4YyclorfF/+BGeBQsxS0swMjNJvvhHJH3ve3GVtLTWvPTSS9x8882MHz+eRYsWkZMjY10K0RISNBJc0qRJVD3xBDotzaqy0Rpz316cY8cCUH7vfZiVVRi9eoHWBFauonz3Htx//EOzB+c7HEZaGmlXXknV3KeIdPMG0yTpzDOxH3ts7Xapl15KeO8+Qlu2WEOHOB3Ycntj65OL6fFgZLqx9+9fJ++BVauo+tvfUNk52HL7oL1eqp96BmV31Glkj+Xrr79m6tSpHDhwgDlz5jBy5EgpWQhxGCRoJDjXqacQ2rwZ3/Ll1kB/WmMfNIi0X1xOYM1azNIybLkHO6fZevUmvH0HoW83HDJabFtLOvUU7Hl5BFauRPv9OEeOwH7ssXVKA0Z6Opl33oFrwgQqH30UIy0do2dPwgdKCG/fhmP4cLz//S/O/HwCq1bjfeMNgl98icrKwh6Zg1slJ6Oys/EsXtxg0KioqODuu+/m+eef55prruHCCy/EZrNJwBDiMEnQSHDKMEi78gqSzzuX8M5dKLcbe95Aa+6I4uIG9zNLS9sxlwfZ++Ri7/PDRrdRSpH8vdOx9+2DZ9HLBL/8itC2bRg52ejKKqpfeJGyP9yLrhmgsKoKioowi4txnWINga5SUjCLitCmWadUorXmhRdeYObMmZx22mksWrSI7OxGR9MXQjSDBI1OwtazJ7aePesssw84CrRGa137a15rDVpjqzc0RlvSoZA1P0Yzn+RyHH00mbfMovxPD4HLVTvJUejAAXRRkdVuUzOAodaY+/YR2roVx6BB6IoK7AOOqhMwvvzyS6ZOnUpFRQUPPfQQw4cPl5KFEK1MgkYn5jj+eOxHDya4cSNGdg6YJrqsFOe4cdjaoQ9HcP16qv/5IqHCQqtx+ocXkDRpUpNtKWZ5OcH16wGwH3sswS++sNpksAJQaMMG0NqqjrPZrCezgkFQiuCGDVYjv99HytTfAVBWVsZdd93Fiy++yLRp07jgggswIu0/QojWJUGjE1N2OxkzZ+B74w38H3wIdjtJF5xP0plntnn/jVDhFsrvfwCVlAyZbvyff473zbcwcnJI+Z9LSb/q16ikJMLbthHaXIhKScYxciSBr76i6m9PQCgMgLYZ4PVYQcHlIlxaaj0dBhAOQ3W1FUDA+reiArOqkqx77sZ2zDE899xzzJo1izPPPJPFixfjbuenxoToaiRodHJGcjIpF11EykUXtetxvf99DQyrYdn/xhsQCIBSmEVFVD32V/wffUzyxDPwvfsemBplM8DhRFdVYevd23qUGNA+H8Hde2DXLlT37oS++Qb8/oOBAqwSR81jxmlp4A/w5a5dTPvVr/D5fPz5z39m2LBhUrIQoh1I0BAtEtq+A1JT8X/0kVVKsNmsm7ppQjhMcPVqQps21VZV2bp3B8MgtLvImrs7QiUlYXTLwZabi3/5cnQobM36mppqlTKgNmCotDQqXC7mrPyMVy95l+k33sgFF1yAUkoChhDtRIKGaBH7oEGElr0NHo8VLGqqw5SySgZ+P7q0FKNPH1CKcHGx1ebi8xPatg3ldGG43dbjs8rAcczRhHfswMh0Y1ZVEvxmvTWMSDhsBaT0dOYHA9y/7iu+n5PDv+Y+RfpxxzaeSSFEq5OgIVok+bxz8b293KpG0jpSGgCcLuu11uB0HmwUT0oivHcveL0E1n5uLTNNjG7dsPXpg61HD5TdjuF2W39ZWfg/+BBdXs5XNhu3bd+K1pq/9+3LkFNPxXPsMR116kJ0aTL2lGgRe9++uO/7I0bPyJzcWoPDCTbDqq6y2zGSXNYwIaGQFTA8Hmtnjwd8XjBNzD170GWlKLcblKodV8pITaN6xHBuqazg8h3b+HlaOkv69GNIfj6e3/7mkHnAhRDto91KGkqpyUAZkKe1nhtj/cTIy0la65kN7dNUOolCe714X/svvnfeBTOMa8IEkn9wfrNmoEs02u8nvHs3Kj0dW04OjsGDyfnb/1J2192Evv7GGjAxFEK53Rg9e6IDAStYBAJWNZNSEBmXCtNEuVyo5GRwOPF/+CFJEybge+dddGoqz2/4lvtWfsZ5I0bw6uW/IDMconrgQMyBAyVgCNGB2iVoRG70aK2XKaWmKKUmaq2XRa3PB/K11nOUUjOVUnlAfv19AHdj6SQKrTUVf/4LgS+/xNatO9jteF99leA335B5152oTjjftO/9D6j+xzx0MACmiXP0KNKmTME5fDg5Tz+Ff+UqQlu2YO/XD8eYAkp/eQWh3btRLhfa67VKInY7hEK17R46HLZ6dycnE9q0mcxbb2WtzeC6u+/GphRP3XUXR593HtowaGAMXSFEO2uvu9cYYH7kdSFWQKi92Wut1wBrlFJuoFBrXaiUujrGPjmNpZMoQps2EVy3DlufvrX9JYzcPoQKtxD86iuco0fH3E8HgxAO1z6O2lG01viWL8czf4H1iOzRRxP65htsvXMxkrLRpklgzedUPf0MGddNx5adTcrZZ9Xu7/n3fzAyM3EMTSO0c5c1HIjTaQ0HovXBhvNQCB0OodJSKUtP55arr+bVV1/lhhtu4JxzzrHy0lEfghAipvYKGu567xsal7oA2NzIPvGm06HCu/cAqk4Hu5rXoV1FhwQN0+PB888X8X/wATocxjF0KKm/uLx2trv2VvHII1Q/+w+UzQaGgX/ValRSErbcXLTfj/Z4UBkZBFavIVxSii277sx6gU8/RWVlY0tLw9b/KPyffYZZWFi3k55SYLNhGjae+/ZbZm/6jh9efDGLFy8mPca84kKIxNBeQaMMaHLUuEi10yVR7Rb192kyHaXUFGAKQP/+/VuQ1cNna2jaUAW2nj3qLNJaU/nnxwh+vQ6jR0+UYRD8bhMVf7wX9+wHMDIy2iHHBwV37MDz3DxUWhqGw2HlsboaXVFBYM0atM9/8HRcLsySA4cEDZWaCvuKMYNBfO++C/v3HwwYNaUMpVjtsHP7N1+TOnAAc595hmOOPVb6WwiR4NoraKzkYCkhD1gavVIpNRvYHGnYLsMKDLH2cTeWDkAkjbkABQUFHXIHsh93LPaBAwht2YLRw3q6yCwuxtazJ84RI+psG96+3QoYvXNrSyO27t0JFxXh/+RTks86/KlOm8P/7rto08QWCRhgBQFdXU24aDe23FyUYWAGg4QrK6n8v79jKIVZUoJj+HBSLryQpEmTqHz4EQKbNsGBAwcTjwSL/TaD+6uqeG9fJbMKxnLmE48DSMAQohNol0dutdaLgLyaxuyaxmulVM1N/0mgMGr93Fj7NJROolGGQcaMm3FNmIB54ADmvn24xo4h47Zba2e1q2EeKAHDOHSsKLud8O7d7Zhri3I4rUdfo27gKiXFeqE1uqqKcGkp2uvF1qsXvv+8anXccyXh++RTSu+4E6NfX5ynnoLevNnqsxF5jDakNX+vruLMHdvJMBRLjx/O93/+s3Y/RyFEy7XbYzxa6zmRl9EN4JMi/xZiNWzXXx9rn0OWJSIjPZ30KVeR9qsrQesGn5iy5fa2ekrXmxeCUBD7oEHtlNuDnAUFGNnZmJUVGCmp1lNOfr/VK9vlwvR4rBkElcLcuRNcLozUVMKVVYS3b8c8cIADv/glRkqK9XitaUIwyMqAn9tKDpBpGMzP6c4x2VkETjwR7/iT2/0chRAtJ5372piy2Rp9xNbWqxdJp00gvHMnZlUV2ucjvGsXtt69cZ2Q36Z5Mz0eQoVbCJeU1C6zD8oj7Ze/wObOQldWYpaUoNEYPXuiXC5sPXtiZGWhnNbgg0aSi7DHQ2D1anR5OTidmOUVhL7bhJGRTnEwwHWlJfx2fzG/S8/gpZzuHJOeTuB738P7619ZwUgI0Wl0vg4DR6DUK67AdtQAfEuXor0+ks49h5Tzz7M6vrUBMxCg8k8P4vnXv0GbGO4sks87l/Srp6CSk0n9xeW4TjoR/+o1KKUw+vah+vEnCG7dSnh3EZiRoUPCYcKmRq9egy4vR9eMRpuUhOly8ey+fTy6u4gfp6axvHcf0rVG2+14r/gFgXPPtfptCCE6FflfmwCU3U7yWZNavdFbe71ovx+VmVlnZr+Ku+7G8+//oNLTwbAT2r2byqeeIrh5MxnTp2MflIf96KMxsrNRKSmE9+xF2wyUYaCSU1AAdjumpxr27ME0DLDbrdFmleLTYIDbNm+im9PBS+ecy9GhEKq0jLDWeKdeQ2j0qFY9TyFE+5GgcQTSXi/Vz7+A78MPIWxi692LtCuuwDZwAMGvv8a7/B1UWhrK4cDcv98a5iMQwPfKv/C99x72Y4/Dlp5W23vbddJJVruLx4Mty3q8VmuNoRRaGehAAEIh9tps/LGshE8qKrm9W3fOdbsxlQKnC7NnT0JjCgiNGtnBn44Q4nBI0DgCVTw5l8DHKzD69kXZbIQrKii5/nqMrGx0VRVmcTEqPR3T57PmrAiHo3auJPTJJ4RSU0meOBFcLvwffIDhdmOaJrq01Oq5bjNwDBhAuHg/ZloqT3+3ib/s2MbPe/Rg2XFDSAsE8PzPpZCTAz4f4cGDMPv1k3GjhOjkJGgcQbRpUv38C3iefc6qLtq1C9vgwRAIEC7aHenV3Zvg5s3o0tK6waJGOAQo8PsJrF2La/x4jN65hLZvx3A60F4fyuGwglFxMSt8Pm79Zh29MjNZdMIJDA6F0RqCQ4cQPO9ca24NIcQRQ4LGEcSzeDFVzz6HGQxgS0pCmybBr76KtEUkg9+PSk9H2azBAg+hlNXIbUSG+CgrQ/u8qKRkdGWF1cnP1Cibjd3BIL/fsIFVfh+3nXUW30ehABOFmZaG78pfSsAQ4ggkQeMIEdpVRMXsP1ntEF4fYX/A6kiYmopZVmY1ejuc1sRGXt/BOTCiRb9Xymrs9gcwlIEur8AxbBgBbfLEihX89buNXDr4aO7Py8O8/np85eUYRUXo9AxCxx0LHTzoohCibUjQOEJUPfMM2u+3GqoNA7O8zJrfwmYDbaJDIUI7dqBLSg7OttcQ04RAAB0KEfz0U1RWFvbjh/H+zl3M/HQF/dLTWXDhRQzMyMDYv59qp5PwoEGEO6AzohCifUnQOAKYHg+hjRshPY2wx4PhcKAyMq3OdhUV2I4/nvC2beiKitjtGA1QWVmo7Gx2A/e89x5rd+3k9pNO5oyjjkIB6kAJoUGD0O08qKIQouNIpXOCMz0eAmvWEvj8c2syoxjCJSUEC7eg9+5D795NeNcudHGxNe2qYVhVTfWfkmqK3YbZty+PB/xM/OhDBhoGr153AxNT0zAOHEDt34/Zqyf+i3/USmcqhOgMpKSRwPyrVlH1+BPWbHkolMtF+nXTcB5/fO02oZ27KJ02HXPvHqu/hWEcDA5KYRswwHrv98c8RkPera7izqVvMqhXL16+4AKOCgTx5Y/Cc87ZGLt3o1NSMfv1lUdohehiJGgkqHBJCZWP/S9GRgZGsjU/h1lVReUjj5L150cx0tIIFW7hwA03EPrqK6id5yKqNKEU4V27rGASp52hEHdXlLE+FOLuvv2Y8L3vWYFh/wHMnBx0ZibhzMxWPFMhRGciQSNBBT7/AkKhOuNPGWlphMrL8Cx6GSMzg+olrxBa93VUwKhHKWuK1Tj4tObJqkqerq7iyrR0/tKjJ84ePQkHQxhlpQTz89E5CTlRohCiHUnQSFTBIPVnyDb9foLrvia08TtrUMAtWxp/CirONoy3/T7uLCvlOIeTV3v2pm9KCjo9HbN7N0Dj//73CcoQ5kIIJGgkLMewodZkSKEQym5Ha41/xQp0WRmqe3fM0tLGA0Yctkeqor4Lh/n9oKM53WaggiECp03Ad+nP0d27t9LZCCGOFBI0EpS9b1+SL7oI75IlgMKsrkLv24eKjDxL1BwYzeXVmr9VVfL36iquSkvnf7t3xxg7BrOsnNDRR+O74hfSwC2EiEmCRgJL+dFFuEaPJrB2Lf7PPye0aTNGaiqm39/sp6FqLPV5ubu8jGEOJ//t05c+LhfYHQSVwn/WRILjx0vAEEI0SIJGAlNKYc8biD1vIGYoiOdf/ya8Y0ftnNvNsTUU4q7yMraGQ9yXmcWEtDTMbjng8R6cFEkIIZogQSMB6XCY0IaNmNVV2AcORFdVUfXcP6C83Bpbqhm8pslfqyr5h6ea36SmMTctB6fNhpmSDIEgvnPOJvD977fRmQghjjTtFjSUUpOBMiBPaz233jo3kBf5G6O1ntnQPo2lcyQI791L6cxbCH7zjTXznt1ujS1YUdmsgKG15k2fj3sqyhjlcPJm9x70ciURHDOG8l9fia24mNCgQSBDgAghmqFdhhGJ3OjRWi+LvJ9Yb5MfAwVa60WR9VNi7RNHOp2K1rrOEOVaa0rvvofAmjUHhxUvLUXv3QcNDCESS2EoyGUl+5ldWc4cdxaPZ+fQKykZ3b073qm/Q/ftS2j0aAkYQohma6+SxhhgfuR1IZAPLKtZWa/EkAcsBSbF2CensXQ6C601vnfewbvkX5glB7APHEjKz36KLSeH4Jo11rwVHg/a42nWY7Ue0+Sxqkqe91Tzu7R0rkxNw6kU2ukkNGQInmuvQXfr1oZnJoQ40rVX0HDXex+za7FSKg8o0VovU0pdEmOfuNJJdL4336Lq78+Cw4Fyuqy5MB6YTeqvf4WurILk5IMj0sbRQU9rzX99Xn5fUU6B08lb3XvSy2YDwMxIx/eznxO44HywSxOWEOLwtNddpAzIjmO7yVrrqxvZp8l0lFJTgCkA/fv3b04e24UOhah6/gVrqPJw2CpJKIXq3p3Khx625sCoqoq7N/emYJA7K8rYGw7ziDuLk1wHJz8K5+binTaV0KhR8hitEB1Aa137l4iUUrV/8WqvoLGSg6WEmuqnOpRSk7XWcyKv8xvYx91UOpGqrrkABQUFCfdNmRUVhNavt+bZTk6GcBgNhAsLCfv91vAhcVxg1abJo1UVvOTxMC0tnV+kpuFQCq0UoeOOw3v9dMyjjmr7ExJCNEhrTbdu3XC73c26MbcHrTVlZWXs37+/WXlrl4bwSAN3XqTh2h3VkL008u9EYLZSarVSajWQHWufhtLpTML7itHhMKbPR3jPHsJ792Lu3g2VldZotE0EDK01//F6OH3fXvaFTZZ178mv09JxGAZmZiaBH15A9SMPScAQIgForRMyYIBVynC73c0uBbVbJXdNKYK6DeCTIv8uAw6ZK7SBfQ5Z1pmocBiVkY65Y6fVxhAOxz10+cZgkDvKyygxTf6alc1Yl6t2nU5JITh+PN5fXC5VUUIkkEQMGDVakjdpGW1n9ryBaJ8fUlLA44krYFSZJo9UVrDQ6+G6tAwuS03FHvVl+888E//kizHzBrZl1oUQh6n0xJPR+/e3WnqqWzeyPvm40W2WLFlCZmYmW7Zs4Ve/+tVhH1Ome20DOhDA+/oblM6YSemNN+F55RXMmn4WLhfKMKyA0URnPa01SzxWVVSpaVVFXZGWVhswzJQUKu+/D++MmyRgCNEJtGbAiCe9JUuWAHDGGWcAsHz58sM+ppQ0WpnWmsrHHyfw6UpUVhYYBlXznqf6+Rcwuvew6g+DQVRWFrqqypq7O4Zvg0FuLy+lUmv+ltONE9LTwTTxTTiV8LhxhAcOwOzT52AnQCGEqGf16tVcfPHFAAwcOJDPP/+8NoC0lASNVhbespXAqtUYffuilEJ7vYR27ESXlKBSUqxHakMhSE6GSF+KaBWmycOVFSzxerg+PYNLMzJRffsQzsrG+7OfEB41qv1PSgjRKZWVldV5X3IYUyrUkKDRSkK7duF76y38Kz4hVFSEMysb02bDt3Il7NkDpolOTraCRXm59bRU1FSuWmte9nq4v6Kc7yUl8Xb3nmQ7nQRPGU/g3HMJHT0YUlM78AyFEJ2N2+2mtLS0VdOUoNEKgt99R8V994NpYgaDmMX78X78MVRUWG0XNUpKICvLem2aVsnDNPmmvIzby8vwac1TOd0Z7XAA4D9xHN6bbgSnswPOSgjR2Z1wwgmUl5cDsGXLlsOumgJpCG8V1fOeB7sDlZGJuWcvurLSKl1EB4waZWVW9ZTWlHs83HlgPz8/cICLUlL5d7ceVsBQilBeHt5ZMyVgCCFa7KKLLmLLli0sX76c8vLyVgkaUtI4TDoQILS5ENWtG95337WqnhrdQWMCi3weHti/j0n9+rP0mGPI9nhQXh/h7GxCo0fhvXoKREocQogjg+rWrdUfuW3KDTfcANAqAQMkaBw+ux2VmkLg66+t6ielGu3VvS4Y4LaKcsLAM8cex9Bx48DUmDt3Eho8CP/FF6N7dG+//Ash2k1TfSo6Awkah0kZBq5TJ+B7O/L8s2HEnI61TGv+VF7Gf31ebhwyhEvc2djLywkX70dpk/CQ4/D9/GdWpz8hhEhQEjRaga1Pb0hPh+LiQwKGqTXzPR7mVJZzTnIKy44fQdrYMagDJQTGjSU4bhw6MwMzN1eG/xBCJDwJGq3A3Fccs9H7i0CA28rLsBkGz/XKZVhGBmbPnugDB8DuwH/eeVIVJYToVCRoHCZtmnhff8MaQyo1FXw+SoMBZldU8JbPy4x+R3Hh2DHYSsswAwHM3r0IDz6awCkno7tLwBBCdC4SNA5TqHALZnk5Ki2NkM/Hiz4vD5Yc4AcpqSwbMpTUoUMxBw7Ed9ZgazKkpKQm0xRCiEQlQeNwhYKoJBdrw2Fu21OEC5g3cBBDU5LRycn4zjyT4PiTOzqXQogE8KPHVlBaHWy19LJSHSy+9qRGt1myZAnPPPMMr776aqscUzr3HabStDSuX7uWXxVu5pfZOSw4bihDs7IgEMTs3p3gqJEdnUUhRIJozYARb3oXXXRRqx5TgkYLhcNhHn/8cY7Pzydp6BDemnQWF/Y/CuW35vgOHzMYzw03yHhRQogjilRPtcCKFSu45pprSEpKYu7cuQwePBhVUoL/66/B68McNIjwwAEybLkQ4ogjQaMZ9u3bx8yZM3nzzTe58cYbOfvss2vX6exsgqee2oG5E0KItic/heMQCoV47LHHGDZsGA6HgyVLltQJGEII0VW0W0lDKTUZKAPytNZzG1h/tdZ6UmP7NJVOa/vwww+55ppryMjI4JlnniEvL6+tDymEEK1m+fLlrFmzhiVLlrRKo3i7lDQiN3q01ssi7yfW30ZrvaipfeJJp7Xs2bOHyy+/nJ/+9Kf88pe/5G9/+5sEDCHEYclKbd2Rq+NJ74wzzqCoqKjVnqJqr5LGGGB+5HUhkA8sa8E+OS1Ip1lCoRB//etfuffee7n44otZsmQJyVEz7AkhREs11aeiM2ivoOGu9z6nhfu0JJ24vffee0ydOpXs7Gz+7//+j4EDB7Zm8kII0em1V9AoA7JbYZ8m01FKTQGmAPTv3z+uAxUVFXHzzTfz/vvvc9NNN3HmmWc2M6tCCNE1tNfTUys5WErIA5a2cJ8m09Faz9VaF2itC7o3MSBgMBjkoYceYsSIEbjdbhYvXiwBQwjRqnQjk7J1tJbkrV2CRqSROy/ScO2OasiuvelH1hVENXYfsk9D6bTE8uXLGTlyJK+99hrPPfccv/3tb6XtQgjRqpRSlJWVJWTg0FpTVlaGauY8PioRT6a1FBQU6FWrVtVZtnPnTm666SZWrFjBzTffzOmnn94xmRNCHPG01rV/iUgpVfsXbfjw4au11gWx9ukyPcIDgQCPPvooc+bM4ec//zkvv/wySTJMuRCiDcW6IXd2XSJoLF26lGuvvZZ+/foxb948+vXr19FZEkKITumIDhqBQIDJkyezevVqZsyYwYQJExK2mCiEEJ3BET321DfffEPfvn1ZtGgRp556qgQMIYQ4TEd0Q7hSqhjY1szdugH72yA77UHy3jEk7x1D8t52jtJax+yzcEQHjZZQSq1q6KmBRCd57xiS944hee8YR3T1lBBCiNYlQUMIIUTcJGgcqs3n6GhDkveOIXnvGJL3DiBtGkIIIeImJQ0hhBBx69JBQyk1OTIj4JRG1sczIm+7ayzvSim3Uio/ss3sjshfY+L43CdG/jpd3qO263R5V0qVKqWWKqVmtHfemhJH3muu98ntnbemNPF/NV8ptVkptTryl3DXTX1dNmi0ZAraRBFH3n8MFNTkv6kbXHtqKu9KqXwgP7I+XymVMHPsxjvdcGR5wuQb4s77JVrrSVrrOe2auSbEmfdbItd7die7ZrK11oO01icAVwFPtnMWm63LBg2s6WQLI69rpo7tLBrNe2ROkZqGtryobRNBU3lfo7Weo5RyA4Va606Td4DIDSuR8lwjnuvdnUg33CiN5j3yo2ilUiovcu0n0uff1PUePb1DXoLlPaauHDTc9d636tSxbcxd733MvEduACWHM+9IG3DXe9/Q514AbG7brDSbu977WHlP1P/47nrvY+U9GyhRSiXar113vff18z4osqxEKfVk5AdHonDXe9/Q/9UpiVqzUV9XDhplNH8K2kRRRnx5n6y1vrqN89JcZcSR90igG5RgddRlNJJ3pdTEBAvQ0cpo4nOP/EovA8o60+cesTmS99VEpntOEGXE9391Uhvno9V05aDRkiloE0WTeVdKTa6pm460EySKRvOulJod1QZTRmIF9qY+95JIg+dkrBkmO9PnPiXB8hutqc99ZdRrN9Z1kyji+b/qrr8skXXZoNGSKWgTRVN5jyyfXfNEBgl0443jc38SKIxanzCdoJrKe6Q9ZhnW5+3usIzGEMfnviDyPnq65YQQx+e+CKs9ZmLkfae5ZiKygZKOyF9LSOc+IYQQceuyJQ0hhBDNJ0FDCCFE3CRoCCGEiJsEDSGEEHGToCGEECJu9o7OgBCdSaSX/dXADGANMD+yKgfrOfwnozv41fSubkkny0i/idmR/TtN5y9xZJNHboVoAaXUZmB2dJ+ASCetUmBS/QHq4ukprpSaUX+wwEi/iaslaIhEIdVTQrRMWf0FkWEslmGVRGqWLWvG0CJj4jmOEB1JgoYQrauAusNaxKUzzKMgBEibhhCtItLWMRO4v96YX7VtEjXDuwCrsMYg+glWm0gZVntIfmQCpLL6Q2HUDEOBVRrZnEhDZYiuRYKGEC13Qr1xyTYTVZ2ktV4TKUHMjLxfFmkYnxn5K4zazh15HWsCpAIic4sopZZhtZtI0BAdQoKGEC23uv7AfpHpUk9o5GmpEqht/1gT53FKaubo0FqXKaVQSrkjaQjRrqRNQ4jW9SRNz+cQb7CokYiTOokuSoKGEK3rsIehV0rlJei0q0JI0BCihdwNLL+alrU3FEalWX/K2ISZD0UIadMQohkiJYDJWE87XRI161oOkA8s01rPjGybjxVECiKzERZG3udFnpKqmV61pjG8MGrWwpr9Z0a2n4I1UdItkdWzlVKzE3Q+cnEEkx7hQggh4ibVU0IIIeImQUMIIUTcJGgIIYSImwQNIYQQcZOgIYQQIm4SNIQQQsRNgoYQQoi4SdAQQggRNwkaQggh4vb/kSjz3h+XrYEAAAAASUVORK5CYII=\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, "output_type": "display_data" } ], @@ -279,12 +241,12 @@ "' Compute a DTM-filtration '\n", "p = 1 \n", "dimension_max = 2 # maximal dimension to expand the complex\n", - "st_DTM = DTMFiltration(X, m, p, dimension_max) # creating a simplex tree\n", + "st_DTM = utils_dtm.DTMFiltration(X, m, p, dimension_max) # creating a simplex tree\n", "diagram_DTM = st_DTM.persistence() # compute the persistence diagram\n", "\n", "# plot the persistence diagram\n", - "gudhi.plot_persistence_diagram(diagram_DTM)\n", - "plt.title('Persistence diagram of the DTM-filtration with parameter p ='+str(p))" + "gd.plot_persistence_diagram(diagram_DTM)\n", + "_ = plt.title('Persistence diagram of the DTM-filtration with parameter p ='+str(p))" ] }, { @@ -308,41 +270,29 @@ "outputs": [ { "data": { + "image/png": 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", "text/plain": [ - "Text(0.5, 1.0, 'Persistence diagram of the DTM-filtration with parameter p =1')" + "
" ] }, - "execution_count": 6, "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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cOJD8/HyWL1/OFVdc0eq9ouKVKLksjGqzyFVKjQI+43DJIhdYHXlec5kQQrQJGzduZOrUqRw4cIB58+YxfPjwhK6KiqUle09NAvIqG7gjy1YDaK3XR0oa2Rxu7F6OFUAmAW6t9ZpYy1oq/0IIcaRKS0u5+eabmThxIqeeeipPP/00w4YNa1PBopJqi5mOV15enl67dm1rZ0MIcYzSWvPcc89x8803c8opp/D73/+e7Ox6a9gTwtChQ9dprfNirUuU6ikhhGhXvvrqK6ZOnUpRURH3338/Q4cObZMli5oSoiFcCCHai+LiYm644QZOP/10Jk2axOLFixkyZEi7CBggQUMIIZqE1prFixczcOBADh48yMqVK7nkkkswjPb1NSvVU0IIUY/v9hTz8hd72FVUQecMF+cP78bQXlnVttmwYQNTp06lvLychx56iMGDB7ebkkVN7SsECiFEE9q8r4RH3txCQamfnLQkSr1BHntnK19sLwTA4/Ewffp0zj77bM477zyefPJJBg0a1G4DBkjQEEKIOr26YS8uh0FGsgNDKdJcDjKSHfx7/U6eeOIJBg4ciMfjYeXKlVx00UXtrioqFqmeEkKIOuwuqiDdVf1r0rNrEyv+cRfdMh0sWLCAgQMHtuuSRU0SNIQQog7d3MnsK/aRmWzgLSvmjacX8N+P3uCUyVOYP/0nGIZxTAUMkOopIYSo03nDu1HhC/D+y0t58NqL8PoDXHLLE1z908uOiaqoWKSkIYQQdSjZvYl3/notReUBJv3uzxzffwAn9k7m+JzWmXcjEUjQEEKIGg4dOsQtt9zC888/z4033si5554LWPNvHOuOzfKVEELEEA6HWbRoEYMGDSIYDLJy5UrOO+88lFISMCKkpCGEEMCnn37Ktddei91u55FHHqF///7HXCN3PCRoCCESSihs8tWuYr7Z7SHd5WB0nw50y2q+6VgLCgqYM2cOL7/8MjfeeCPnnHMOgASMOkj1lBAiYYTCJo++vYUn3t3KF9uLePub/dz/8jdVd2A3pXA4zD//+U8GDRqEYRisXLmyKmCIuklJQwiRMDbsKOLbPSV0yXRVtSH4gmGe+8/3DOrhxmlvmt+5H3/8MVOnTiU5OZnHHnuMvn37SskiThI0hBAJ4787PbgctmqNzi6HjVJfkN1FFfTpmHZU6R84cIDZs2fz+uuvc/PNNzNp0iRAqqIaQ6qnhBAJIzXJTtg0qy3TWmOakGS3HXG6oVCIBQsWMHjwYJxOJytXrqwKGKJxpKQhhEgYY/vm8NGmgwRCJk67NURHYXmAHtkpdHW7jijNDz74gKlTp5KRkcHjjz8uVVFHSYKGECJh9M5J5YpxvVm5diemBtPUdM1y8ctTcxt9n8S+ffuYOXMmb731FjNnzuSMM84ApCrqaLVY0FBKTQau0VqfFWOdG8iN/I3RWs+K2scD5GqtF9W1TAjRfpzUvyMjjstiV2EFSQ4bPbNTGhUwQqEQDz/8MHfffTc/+tGPWLVqFcnJzddl91jTYkFDa71cKXVNHauviGyzSCk1Rik1BSiMLFujlJqilJoEuGsu01qvaYn8CyFaTrLTzvFdMhq933vvvce1115LTk4OTz75JMcdd5yULJpYQlRP1Sgx5AKrgbOAJZFl+cAooEOMZRI0hDjG7dmzh5tvvpn33nuPWbNmcdpppwFSFdUcEqr3lFIqFyiMlB7cNVZ3qGNZzTSmKKXWKqXWHjx4sFnyKcSxRnu9eN9+h9K/LqDsmf8jtGtXa2cJgGAwyAMPPMCwYcPo0KEDK1eurAoYonkkREkjymStdWUVlgfIrrE+1rJqIqWWRQB5eXnyM0OIo2RWVFB81z2Ev9+OSk5BB/z4Xn+D9BnXkzRiRKvl6+2332bq1Kl07dqVxYsX06tXLylZtICECRpKqcla6/mRx6OAzzhcsqissnLHWCaEaAZaa/whk/A77xLavg17j55V68yyMsoffRzn3x5C2Y78/okjsWvXLm666SY+/vhjZs+ezYQJE6ryK5pfi1VPRRqy8yK9nyqXrY5aN08ptU4ptQ7I1lovB3IrG8C11mtiLWup/AtxLNm8r5T7XvqGOc99wVtPv8IB7az2pWykpWGWlhDet7/F8hQIBJg/fz4jRoygS5curFixoipgiJbTkr2n1gBZNZadFbWub4x95kcerqlvmRCi6ewqrOCRNzfhstvolJGEmZbOgfy9BJNT6Z1jDeOhTRM0qBbqyrpmzRqmTZtGz549pSqqlSVM9ZQQomlp00T7fKjk5Ebd5/Duxv0YSpGe7ABg3/BxdMn/mgMFpfTITsFQCnP/PpzDh2PLzmogtaOzc+dOZsyYwdq1a5k9ezbjx48HpCqqNUnQEKKd0VrjW70a76rnMUtLMXJySP3pT0gaO5bQ9u34PvgQXVyMY/QokkaPRjkc1fbf5/Hhchxupyjq0ZfNp15Iz/deJbBX4zTAMXAgaVOubrZz8Pv9PPjggzzwwAP8/Oc/Z/bs2SQlHbvzcicSCRpCtDO+1aspf+JfGDk52Lp1xywro/ShvxI491z8q1eDMsBux//hhwSGDyd9xg3VAkdupzTe/+4AqUmRrwelyB88jm97DWbMmCyS3JkYXbs02/Snr732GtOnT6dv374888wz9OjRQ0oWCUSChhDtiDZNvM+/gJGTU9XeYKSlEfb7KV+4COfo0SiXNfCf1prAhg34163DdeKJVWlMGNCJz/IPUVDqIyPZiT8UptQX4rKxuaQM7Nxsed++fTs33HADX375JbNnz+bkk09Gay0BI8Ek1M19Qoij5PdjlpSAq8aIsFqjKyqqAgZglRRcyQTWrrOCx4cfEd6zl5z0JK4/dwDDe2cRDJtkpyXx61NzmTigU7Nk2efz8ac//Ym8vDz69evHsmXLOOmkkyRYJCgpaQjRnrhc2Dp3xiwrQ6WnVy3WFRWolBS01tWqlXRZGb7X3yDwyScQ+Y52nX0WHa/8H648JbfZs/vyyy9z3XXXMWDAAJ599lm6desmwSLBSdAQoo3SWhPK34a5fz9Gxxzs/fqhlCLlJz+m9C8PYYZCqNRUzJISlNOJc+QIzIICq+pKKUyvl9D27Thyc7F17WalGQ7je+01HIMGkZQ3utnynp+fz/XXX8/GjRuZO3cu48aNk6qoNkKChhBtkPb5KF3wMIENG0Ap0BpH//6k3ziDpLw81JzZeF94gfDuPTiHDCHlkotRaamUPPRXwjt3gmFAKIStY0eMnofv9FY2GyolFf977zZL0PB6vcybN4+HH36Yq666ijvvvBOHwyHBog2RoCFEG+R96WUCn3+O0b0HSim01gS/20TF0mWk/eqXOIcMwTlkSK393HffRXjHDrTXi3I48dxxR+1eUEqhg6Emza/WmhdffJHrr7+eoUOH8txzz9G1a1cJFm2QBA0h2iDf229j5HSs+sJXSmF07ozv3fdI/eUv6uwOq5TC3rs3YPW0Mjp2wvR4MNxua5nW6LIykiI30TWFLVu2cN1117FlyxZuu+02xo4dK1VRbZj0nhKiDdKhkFXFFE0pCIchzi9jZRik//53oDXhPbsJ796NuWcPznFjSTpx3FHnsaKigttuu40TTzyR4cOHs2TJEsaMGSPBoo2TkoYQbVDS+PH43ngDW7fuVcvMgwdIGjcWVTOY1MPRry9ZD96Pf916dEkxjn7HYx9wQqPSqElrzfPPP88NN9zAyJEjWbp0KZ06NU93XdHyJGgI0QalXHIxwW++Ibxzl1Xi0CZGx46k/OTHjU7LSE8n+bRTmyRfmzZtYvr06ezYsYM777yTvLw8KVm0MxI0hGiDjIwM3H+8k8CGDYR37cLo0pWkkSOq3bzXksrLy7n77rtZtGgRv/3tb7n33nux2+0SMNohCRpCtFHK6SRpzBgYM6bV8qC1ZsWKFcyYMYOxY8eybNkyOnbs2Gr5Ec1PgoYQ4oh8++23TJs2jT179nD33XczatQoKVkcA5qk95RS6rimSEcIkfjKysqYNWsWEyZM4OSTT+aZZ55h5MiREjCOEUcUNJRSGdF/wKwmzpcQIsForVmyZAkDBw5k+/btLF++nMsvvxy7XSosjiWNerWVUlcDC7GGNlM1/v+uyXMnRDunfT58b7+D/8MPweHAdfppJI0fj7IdngSpcoyp8M4dGBmZOIYOqTVxUnP7+uuvmTZtGgUFBcybN4/hw4dLyeIY1difCH2BLK11cfRCpdS9TZclIY4NOhSi5P4HCH7zDSrTDaZJ2SMLCX23ibSrr7K2CQYp/ecjBD791NpJKYycHDJnz8LW+fDcFlprQhu/xf/55ying6SxY6vu/I5H2NRs+L6Qz/ILUUoxJjeb4b2yKCsr5c477+Spp55i2rRpXHzxxdhsNgkYx7DGBo3PagaMiD83tKNSajJwjdb6rHrWe4BcrfWixiwToi0KfvUVwW82Vo0fBaDT0/G9+y6u88/H3r0bvvffx//xx9h69KzaJnzgAGWP/y+Zc+dY+2hN+b+ewrd6NdjsoE28L7xI6i9/QfKkMxvMh9aaZz/ezqdbD5HqtKGBr3YWEc7/kOcfu4+JEyeyYsUKsrOzm+1aiLajsW0aRXU0el/e0I5a6+V1rYsEArTWayLPJ8W7rJH5FyJhhLbmg81WbZwoZRigFOGdOwDwv/MuRqa72jZGx44EN27ELLZ+v4W2bMG3eg1G127YunTB1rUbRk4O5U8txvR4GszHzkMVrM0/RJdMF5kpTnwHtvPifb9j2ZP/5JY/zuPWW2+VgCGq1FvSUEq9XnMRMFopVQjkR5Z1APoAjx1FPsYASyKP84FRkXTjWbbmKI4rRKtR2dl1jhNlZGRaD0zTGlOq9t5V+wa//C8YRrWhP5TTCdokuHmzdS9HPXYcKkdrCFSUsfrZv7Ph3Zc55YdX0S3vHLJ6ZUpVlKimoeophdXw7Wlgm5lHmQ93jecdGrGsemaUmgJMAejVq9dRZkuI5pM0Jg/vkiWYhw5VBRB98AC27t2xDzjB2mbiRMqfeBKdllZV2jAPHcJxfL+qkWlxuUCb1dLWWqMDAbQ/0GA+Upw2vv3oZT5e+nf6jTyZX931L5Iz3BRVhHE5Yo+WK45dDQWNWVrrzxtKRCl16Cjz4QFqln/jXVZNpJ1jEUBeXp78RBIJy0hLI2PuHMoefYzQtu2gwDF0KGlX/aaq1OA67VSCGzYQ+GKDNVWroTCyski76qqqdJLyRlOxZCna50O5XJjFxQQ2bED7/ZT985/4P/qI9KuvwsjKqpWHDRs2MPX3v2fbviLO/u2fyO0/CI2m1G+S7DA4LsvZUpdDtBH1Bo2GAoZS6jit9fZ4AksDPuNwKSIXWB15Hs8yIdose69eZP7xTswiD8pmYGRmVluvnE7Sb5xBaNMmQjt2YGRm4hw+vNoYU7bOnUm79neUL1xE+MB+gt9+i3I4cY4di5GeTvCrryl58C9k/vHOqtKKx+PhtttuY+nSpVx33XWMO+1cXt9cTlFFGIDsFBvnDUjHYZOShqiusfdpXKW1fqz6InUm0KfG8lj7TgLylFKTKxvFlVKrtdZnaa2XK6VmRrZxRzV0x7VMiLZMKYUtu3YpoGq9YeAYMADHgAF1buMaNw7n0KGUPfEk+PzY+/Wrmm/D6NyZ0PbthPK3YetzHP/617+YO3cuZ599NitXriQzEqiuHOWgyGtVc2UlG3VO5CSObY3tcuuOfqK13gZsU0pdFXvzatuuAbJqLDsr6vH8yMM1jV0mhAAjJQUjNRXldleboEkpBcpg/Sf/4fr/+RmhUIgFCxYwcODAao3cSimyU2wxUhbisAaDhlLqZqzeTRoYpZSq2RXDjdWT6Wh6TwkhatDBILq8HJWeXu0O8frYBw6A1aut9o9ISaGwrIy7P/mYV157hetnzOCCCy6omldciMZqMGhore+Dqru+FbC0xib5TdCmIYSI0KaJ96WX8P77JXTAj5GeTsqPf4xrwikN7ps0ciS+448ntGkTOj2DZ775hnvWfsr548ax8oknyMjIaIEzEO1Z3NVTWuvZSqkztdZvNmeGhDjW+V55lYpnl2B06oSRnY1ZUUHZPx/BSE/DOWJEvfsqp5PMWTP5cNGjXD9/HsqwsejOP3L8+ech5QrRFBrVplEzYCilMoFJwFat9RdNmC8hEla4sAjMMEaHDrUai3UwiPZ6rSqlI2hI1qZJxb9fxOjYEZWUBFhtFWYgQPnzL2B06IAuK8PWqxdGamqt/Q8dOsTcuXP597//zQ033MB5551nVUUd2akKUcsRjWkcGQ698n6JdVhDo8sot6JdCx84QNnCRQQ3bQLA1rMn6ddMwd67NzoUomLV8/heew0dCGLkdCD1yitJGjWyUcfQfj+6ohxVo+stNhv+N98ivHUrKANsBqk/+THJZ59t5S0c5tFHH+X222/nwgsvZOXKlaSnpzfJeQsRrbFdbs8ElkHVD5fKYdGvbuJ8CZFQdChEybz7CB86hNGlKwDmgYOU3DsP933z8b70MhUv/Btbly4YDgdmaSmlD/4F4/bbcBx/POGDB6lY9TyB9esx0tNxnXcurtNOqzb0B4ByubB16YJZVoaK+tIPfvkl2GwYXbpaJYdAgPJ/PYW9Z0/Wl5Rw7bXX4nQ6eeSRR+jfv780cotm09gBCydprbO11h2AK7TW2Vg32XmaPGdCJJDgxo2ED+zH1qkTSimUUlZ7Q2kp/v/8B+9rr2Pr2rVqngsjPR2cTryvvIpZXEzxHX/E/8EHKFcyZnkF5Y8+RsVzS2odRylFys9+hi4tIXzoENrnI7RjB2ZZGY4hg6uqvJTTSYFpctVVV3HppZfyk5/8hEWLFnH88cdLwBDNqrFBY23U4z4AdQyVLkS7oktK61ijCO/bB2YYVWMGO5WSQnjvXnzvvY9ZXIytS1eU04mRlobRrTveV1+rGqk2WtLIEWTediuOgQNQNhvOYUNxnNAfI80qeYRNk8fWr2fC86tICodZtWoV55xzTlOfshAxNbZNw6OU+qHWeiWQpZQarrXegDXa7FtNnz0hEoOtdy/QVkN1ZZWS1hq0xjF0KIEPP7IawJOTq/bRxcU4xowmtGVLteWAdd+FYRA+cKDW0CEAjhNOIPMEa9BCHQxSNP06zIoKPisqZOaa1aQ5HDx94kkc9/MrCcZoEBeiuTS2pFEIzI3MqbEIWBEZrLBvU2dMiERi79ED12mnYu7ejenxYJaUYO7ehXP4MJxDh5Lyk59gHjqEWVSE9vkI79uHSk4m+dxzsfXsgfZ5q6WnTdPqgRXHPBXK4aDs0ku59tVX+PWqlVyV25dnRo6i35AhBIcPb65TFiKmxna5/RzIi1rUTyk1Um7uE22V1hpCIbDbG+wim/rrX2EfOBD/2++gQ0GSLr8M14QJKMPANXECRmYG3pdeJnzgIEkTTiHlwh9g69wZ16mn4nvtdasRPTsbQiHM/ftImjgRW4dao/tXEwqF+Mc//sGf/vQnLjvvPF46YQDpfj/+/scTGjQInDIKrWhZje5yG+luewWwRmu9nRrjSQnRFmit8a15E+/zz2N6irH16knqT3+Cc+jQOvdRhoFr/Mm4xp8cc71z+HCcMX752zp2JPPWWyh/+hmCG79FuZJIvvgiUi65pN48vv/++0ydOhW3283jjz9O37590Vrjb9SZCtG0jqTL7Tysoczzge1YAxaeobWWNg3RZvhefY2yxYux5XTE6NYNs7CIkvn3kfkHq4tsU7MfdxyZt96C9vvB4ajV1Tba3r17mTlzJm+//TYzZ87kjDPOAJBeUSIhNLZN4yytdZ7W+ndY92hUjnQrpQ3RZuhQiIrnX8DWqTMqOdnqPpuZCc4kvP9+sVmPrZKS6gwYwWCQv/zlLwwbNoyMjAxWrVpVFTCESBSNrZ76tI7l8hNItBm6vBzt9R6eLjXCSE0ltGNnq+Tp3Xff5dprr6Vjx448+eSTHHfccVKyEAmpsUFjbGTipFIigSLSk2ossLKJ8yZEs1BpaRgZ6bW6yJolJSTljWrRvOzZs4ebbrqJDz74gJkzZ3LaaacBUhUlEldjq6f+DHyulPoMmKeU2ow1rMg9TZ4zIZqJstlIufxywgUHMUtK0KEQ4YICFJB84YUtkodgMMj999/PsGHD6NChAytWrKgKGEIkssZ2uS3G6mY7GeuO8Hyt9YpmyZkQzSjp1Imo1BS8q54nvP8AjoEDSL3sMuy9e9fa1vfhh3hffAn8fpLOPBPXGadjpKTU2k5rTfDLL/G9+y4EAjhPOpmkcWNr3Sn+1ltvMXXqVLp168bixYvp1auXlCxEm3FEo9xWzvEtRKLRWhPamk8oPx8jLQ3HiOExv+CVUiSNGUPSmJoTUUalZZp47rgD76oXrG4fhg3fu+/he+MN3Pf+uVa6FcuW433+BXC5UIZBYN3nBD79lPTrpqMMg127dnHjjTfyySefMGvWLCZMmFCVZyHairiCRqTdYh7WcCG5WN1t1wP3RIYREaJVhPfsJbh5EyopCdvAgZTcOx//m29CIIBKT8ee2wf3Hbdj79On0Wn7//MJ3uf/jUpPx4gMRGj6fPg//g++998nJWq8p/DBg3hffBGja9eqqVl1VhaBteso37CBv7/xBvfddx9XXnkly5cvx+VyNc0FEKKFxTNH+NXAQmAN1tAhHqx5wfsCbyul7tZaPxBHOpMj++ZqrRfFsz7eZeLYo7WmYsVK65c9GpQiuHMnet9+lNuNSktD+3wEv/qakvsfIOvhBY2eFMn36qsow6gKGGANXW4WFxP44MNqQSOUnw9KVZvLWynF2/v2ccsFF9Bn6FCefvppevbsKSUL0abVGzQiN/NdA2TVMZrtb5VSSxu6uS/yRY/Weo1SaopSapLWek3U+klY7SPrlVKTlFKVJZpq+2AFqzrTEceO0KZNeFc9j9G5M8puR4fDmJ98CmYYm9NpfYGnpGBWVBDY+C3hPXuwd+/eqGPoqIEJqwUc00TVmGtbpaZCVDDYVVLC3Lfe5Ms9u7nlqqsYf/XVaK0lYIg2r6HeU5MjN/PVOfy51voK4PIG0hmDVaVF5H/Nfo1rgWWVwUJrvb6OfRpKRxwj/J98CjZbVSOz9vtBKWsk2mDw8IYOB7q8nMi9qI2SfNZZqORkdEVF1Ze99npRTgfJl1xcbVvHgAEYOTlU7N/P/R9/xGlPPckJKSm8dvY5jL/iRxIsRLvRUPVUvJ+0hubUcNd4Xm2UNq21Rym1EKv77pp69qk3HdG2VPU2evNtzLJSksaNJWniRIwaw4hHC+3ahe/dd/G9+aY1AGBODspuRzmdKJcLXVKC1ubhN25FBUaP7ti6dW10/pJOHEfypZfgfeEFzKIiUKAcTtJnz8JZY6gRZbfzUd5orps2jeOTU3h+wkS6d+6M74rL0Rky7apoPxoKGlvjTOdQA+s9HJ5TvJZI1dMarfV8pdS8qHaLmvvUm04krSnAFIBevXo1kC3RmrwvvUzF/z0LKSkoh4Pyfy3G/+FHZN4yF5WUVGt7/4YNlD74F9Aa7fcT/v57dGkpztGjUQ4HRo8ehDdvRgcChIMhdCAAfj82oPB3vyf5vHNJvuCCWl1g66LsdjJuvomUiy7Ev249yunEdcbptUam3b59O9dffz1fffUVs++9l/H9+0MoREXHjhDVxiFEe9DQpyfeMnVD233G4VJCLrC6xvpRWuv5kcd/xhpFN9Y+7gbSIdI4vgggLy9P6gQSlFlSQsXy5RhdulRNkarT0wlt3Yr/s7W4ThlfbXsdDlP+2P+iUtMw0tIADcEQwU2bCP73v9g6d8LesSMp55xN4JNPCR88gFlwCPvx/bDl9oVAgIrnlmIeKiTt17+KO59KKRwDBuAYMKDWOp/Px/z58/nb3/7Gr371K/7whz/gdDoxj+rKCJHYGgoaP4o0AHrq2cYN/Ai4v64NtNbLlVIzKxuzKxuvI0OSnAUsipQQ8qneUyrWPrWWibYnvHMXSlMVMMD6gibJRfCrr2oFDfPgQcxiD7YuldVMCnu/vqj0NDAUab/+Dc7hwzAyMtDhMBXLV+B98SVs3bpZm7tcGN264Xv7bZIvuQRb9tGNsfnSSy9x3XXXMXDgQJ599lm6dm189ZcQbVFDQWM08Y1g22An+KiSxJqoZWdF/nuIlA7i2KfWMtH2qLRUtBmu3TMpGMDIyam9vctlVUtFTbcKCuwOnIMH4ZpwyuFtbTbCe3bXMcWqjfDBAxjuzHqHJ69Lfn4+1113Hd999x1z587lxBNPlEZucUxp6FMzX2vdr6E/YHZLZFa0H7ZevbD364e5f1/Vl65ZWoqy2WuVMgAMtxvn6NGY+w5vrwMB8HpxnTWp1vb23NxaU6yagQChXbsoufseDv38l5Q88BfCe/fGlV+v18vtt9/O2LFjGTRoEEuWLGHcuHESMMQxp6GgsTDOdGRYEdEoSikyrr8Ox5AhmPv2Ed63F+Wwk37jDdi6dIm5T9pvfo1j6BDMfXsJ79+HWVxM6pX/g2PIkFrbJk2YiJGWRnj/fnQ4jPZ6CXz6KYRCGNkdMLp0IfDf/1J8192YJSV15lNrzQsvvMCgQYP44osveO6557jyyitxRFWrCXEsUe35l1JeXp5eu3Zta2dDNCBcWAg+P0aXznFVGYX37cMsLcXWvXvMcaWqttuzl/Jlywh8/oVVZbVzJ/ZhQ1GGLWqbPaRe+TOSo+7urrRlyxamT5/O1q1bmT17NmPHjpWShTgmDB06dJ3WOi/WuiMasFCIpmTLrt6LOrg1n4plywh++x22jjkkX3IxSSefXNX2YevSpc7SSLV0u3Ul47rpAAS+/JKSBx6sFjAAcDprTbxUUVHBPffcwyOPPMKUKVO45557sNvtEjCEQIKGSDChHTso+dNdaJsNo0MHzPIKyh7+B7q8nOSzzz7idG2dO0PYrNGQDgT8VYMZaq1ZtWoVN9xwA6NGjWLp0qV06tTpaE9JiHZFgoZoctrvx//ZZwQ3fInRIZukCROqjfukQyFC3+9AKYWtd69qg/x5X3oZDVU30Km0NLTdTsXylbhOP71aF93GsHXuTNIpp+B/9x2MnI5gt2MWFGBkdyDpxHF89913TJ8+nR07dvDHP/6RvLw8KVkIEYMEDdGktNdL8b3zCG3ZAq5kCAbwvvIa6TdcT9LIEQQ3baL0bw9jllgjzxhZWaRPn46jby5gjRZrpFcfdkO5XJhFRVY7Rna9AwLUK+03v8LWvRu+N1ajS0tImnAK5tlnMfeuu3jsscf47W9/y7x586QqSoh6NL6jumg22jTxvrGawuuup+AXv6Tk/gcJ7dzZ8I4JxPfhh4Q2b8bo1h1bhw7YunRFpadT/uijhD0eSu67Hx0KYWRlA4rQrt0U3303ptfqHms/rjdmaWm1NLXfj3K5agWTxlIOBykX/oDsBX8l+9FFvJblZujEiWzdupXly5fz4x//GHucQ4wIcayST0gCqVi5Eu+KVagOHTByOhL46iuC336L++4/WXXybUDg089QaenVbtgzUlMJ79uL/+230RVetMNBaP16MK0BN0KBAOVPP0P61VeRfP4F+D9di1lUhHK70V4v5qEC0v7nZ0dcNVXTxo0bmTZtGvv27eOee+5h5MiRUrIQIk5S0kgQZkUF3pdexujaFSMlBWWzYevUCR3w413zZmtnL25GRkb1ocmJTGeqtXW/RCBA6JtvrAEGU1MxUlPBbsf7/AuECwqw5/Yh85Y52Lp1w9yzB2Uo0q66Ctf55x913kpLS7n55puZOHEi48eP55lnnmHEiBESMIRoBClpJAjz0CHQutYIrCollVD+tlrba60J79kD/gC2nj2a7Ff40XKdcQb+jz9GBwIopxOtNeb+/TgGDSJp9GjKn3jSmsSoch4Mra2G8GSXNfDg6afjOOEE3HfeXm2IEbO0lGB+PiolBXvfvo0aAkRrzXPPPcfNN9/M+PHjWb58OR06yKj6QhwJCRoJwsjKAqXQoVC1wKEryrH3Oa7atuH9+yld8DCh77+vmqEu7ZprSBo5omUzHYNj0EBSf34l5c8tgbAJpon9+H6k//YalNuNc8QIKl74N6bNZs10Z5rYe/VEJbnArP6LvzJgeF9/nfJnn7PWa42tS2cybroxriq7r7/+mqlTp3Lo0CHmz5/P8OHDpWQhxFGQoJEgjLQ0ks89F+8LL1hdQpOSMAsLUQ4HyZPOrNpOmyYlDzxI+GABRpeuKKUwKyooe+iv2Of9Oa6b3ppb8jnnkHTKKYR37EClp2Pr3r0qAKTdcD2Br79G+/wohwNb586otFTrfLp2wfR6MZKTrfky9uwhtG8/5U8txujUuao0FT54kJK//g333XfVOe93SUkJd9xxB08//TTXXnstl1xyCTabTQKGEEdJgkYCSbnicoyMdLwvv4K5dy+OoUNI/fGPqgWC0NathPfuxda1W9UyIyWFcLEH/8cfk3Lppa2R9VqM1FSMgQNrLbfn5JBx/fWU/e//QjiM9lYQ2rMHleSk5N75YCjsubkEN24kvP8AZkEByukkKScHsIKGkZNDeMdOwrt2Ye/Zs1r6WmueeeYZZs2axamnnsry5cvJPopuukKI6iRoJBBlGCSffz7J559fe8jwCF1RAbHq8212zOK6B95LJK7TTsUxeBCBDV8S2rYN32uvY+vWDZWcTOjAAcoXPw12O0ZaGjoYRJeU4Hv3PVyTJqEMw7ouhrLmBY/y5ZdfMnXqVEpKSnjggQcYOnSolCyEaGLSeypB1VXtYj/uOIBqPZS01hAI4Bw6tCWyVo02TQL//S/ly5bhfe01a/DBONg6diR50pmYBw9iZGeD00nw228J/Oc/4PVCaSk6HEalpYHNhi4uxowMY25WVKBcydgj0/l6PB6uu+46Jk2axNlnn81TTz3FkCFDJGAI0QykpNHGGJmZpP7oR5Q/8ww4nCi7HV1RjnPECBzDh7VoXnQoROmCh/H95xN0SYnVKyozA/cf/oBzyODY+wQCVvtFehpGRgbmwQKUy0Vo82arN5hpWg3kgD5wwJpjWykIhwlu3w6GAmWQft10tN3OU//6F7Nnz+bMM89k5cqVuN3ulrsAQhyDJGi0Qcnnn4c9tw++d99DV3hxjh1D0tgxtbrrNjfvJ59SvnwF5r59VV/0yuHg0NRpZN39J3R5ObauXXEMGoSy2fC98w7lzzxrVStpTdKEU7Cf0B/fe+8R3rvXmmmvrOzwAbSGUMh6rBTKlUTyxRfjGn8y/92/n2snTMDn8/HXv/6VwYMHS8lCiBYgQaONcgwYgGPAgFY7friggJK5t2Du2GEtMAxwOKw2iPx8PLPnYuTkoFxJOPr3J/kHP6Ds0ccwOuRgZGWhw2H877yLc9xYDIfTCiQOB9Rop6iiFEZGBmWdOzHr7rtZtmwZ06dP56KLLkIpJQFDiBYiQUM0mtaa0of/TvjgAWuBYVhVSIFAVVVSeM8etM8HSmEeLCC0/XtUcoo11zfWfN1Gly4E1n9O5u23UXjtNMziYrDbrRJGZZuNUmAYmIbB/23bxp8vvJBzL76YVatWkZGR0UpXQIhjV4sFDaXUZMAD5GqtF8VYPwrIBdBaL69rn4bSEc3P3LeP0NZ8SE6B0rLqKyurk2w2jJQUtGliHjpEuKAAW48esG0bpKRg69EDW3o6aBMjI4PMW+dS+vd/ECwvRxcXW4HIMCDJyZdeH7fs3wtFh3hk6lT6//SnUrIQopW0SO+pyBc9Wus1keeTYmw2JxIsspVSubH2iTMd0cy03w9K4ejezapSqmy8jgxAiFIYaWnWw0gpQXs8hPLzCe/dS+jrr/G/8Qb+tWtR6ekY2dm4xo/HfeutOE880QoWNhtFhmLO/v38Yu9ufpbdgRVjxtH/vPMkYAjRilqqy+0YID/yOB8YFb1SKTUF+Ewplau1XqS1zq9jn3rTSRRmaSm+9z+g4tXXCG7e3G6+5MKFRQS35qMyMzFSUzA6dsTIyQGn0+rVVFlNlZSEkZZqjY9VUgIHD0I4DGVl6PJyq0cUEN62DZWaWjWOlGPQQDo88g9cl17CswpO37kDQynezO3H5V264ptyNVp6RwnRqlqqespd43nN0eL6Rv4XKqUWArPq2KehdFpdcMtWSubNR3sr0DryHTp+PGlTrq42Q11bogMByp78F/7330cZNjQax7BhhDdswJHbh1BGBmbBQVR2B2w5HQhv20a4vMIqkZSXW4mkJEMobJVGlEKlplptFTt3Edq9B3t36w73zz77jGvffQdlM3jyjDMZ7HQSOuEESi+5GJ2V1YpXQQgBLRc0PEBDYzls1Vp7lFLrgCl17NNgOpFSyxSAXpGbv1qKNk1KH34YDANbt+5Vy/zvv48zbzRJY8bUva/fj66oQGVmNmoE1+aitSb8/fdorxffZ2vxv/0ORvfuKMNAh0IE1q4l5YorIBzCLPLgHD4MrQzK/raAkD9gtW0EAqjUVOtGxMjw6DgcKMPAyMy0Gs4ddsyDByhIcjJnzhxeeuklZsyYwXnnnQdAWWXkFUIkhJYKGp9xuJSQC6yOsb4yGLixgkN+jH3cDaRDpHF8EUBeXl6L1guFd+3CLCzE1qVr1TJlGKiUVPzvfxgzaOhgkIrlK6wpSEMhjKwsUn/+PyTl5bVk1quEdu6k/P+exfvvFyEcxujcifCOHdgHDKgKGASDqEw3wU8/xf3ne6r289xyKyojA9fECYR27iL41VfoyntHioutUkYwiLbZ0N4KbL17Ew6FeOy117njwQe46KKLWLlyJenRM/RJwBAiobRI0NBaL1dKzYw0XLujGrJXa63PqrGeqJ5SsfaptSxhGAZoao0bpbUGW+zSQ/nSpfhefgWjcxcMhwOzrIzSh/6GcdstOE44oaVyDkBo9x48t99B8OtvrDYIu53Qrl0QDBLYtBmzsAizqMgqMdhs6N6HS3K+d95FoaxJlQDHCScQLC6GLVsO94QyzapGc5WVzbriYuZ89x0p27excOFC+vfv327af4Ror1qsy63Wen7k4ZqoZWc1sD6uZYnC1r07ti6dralKIyOr6nAYvBW4Jkyotb32evGtftMa4jzyi9xISyPs8+F95dUWDxrel15Cl5Vbw4GkpFjDrhuGNUhiaSnhigrrhj3DIFxaSnjPXspXrMSW04FQfr7VIB4R3LULvv/eCjDhcNX9FihFgWly78avebeighvnzOGcSFWUBAwhEp/c3NeElFKkT59Gyb3zCO/dY00apMB17rk4YkyQZJaVgRmuPVtfcjLh/ftbKNeHhb77zhrKg8MDJhoOByFnEhQXo11JEAphhkIouw2ztJTSh/6KvVcvzMJDmD4/zqwszPJygmvXHr5nwzBAa0KmydPa5C8H9vPD4cNZ9Y9/kBopmQgh2gYJGk3M3rMnWQ/cT/DrbzDLy7Hn9sHeo0fMbY2sLIzUVLTXW/VlDaBLSnCMG9tSWa5i69GD0KFClM1WNYOgNk2Uw452uVAuF6bHYz0Gq1HbYbcmWUpPI/ThR/g++QRKSqCiolran4WC3FJ4iEybned696b3ZZfhl4AhRJvT+t102iHlcuEcPQrXxAl1BgwAZbeT8tOfWr/SCwvRXi/hvXsxUlNIPu/cFsyxJfkHF6DCYYyePdF+P2ZZGWaxB1JTrSorw7Cqp5RCFxaiy8owsrMJ7dxJYN16AHRBAbqoKJJgMge15vpDBfzu4EF+n5bBko6dOL5rdwInndTi5yeEOHpS0mhlrgmnYGS5rdn6DhzAdcbpJF9wPraOHZvtmFprQvnbCH7xBdhsOPNGY+/RA0f//qTfNIOKZ/4PFQ5jVlTgOP54jC6d8X/4EeH9+zELCqxBBSM364WKPOhDh6w2EMOw7svo0IFgQQFPFhXyN08RVySn8HanzqQZBuHOnfFefRW6Gc9PCNF8JGgkAOeQITiHDGmx45U9+hjlz/yfNaBgSjK2rCzSplxNyrnnkjRiBM7hw60qs6QklM1G8V33WBMehYKEy8rQTmfVsCHm5s1gGOiyMmu2vZQU/hMMMnf/PnIMg2Wdu9LfbgfTJDh4EOVz54BMvypEmyVBox0KFxTg//BDwvv34xgwgKSxY6vaIypeeZXSBQ+jkpLQ4TD60CHM7d9TdNNMzOJiUq+4Al1cjPf1NwisX4/hdqOVJlxagukpxujUCWUYhDweKCysGtUWu50D4RB37dzBf4qLubVbN87tfwKG12s1jA8fhnfGDXLfhRBtnASNdia4ZQslf74X7Q+A04n/vfepePkVHP364X//AwJffIGOTKVKIFB1wx1FRRTPmoP3jdXYUlMxCwtRmW7r3oxDhzArKtA+H1opVCgEZaWQkYFht+MvLubJYIC/7dnNT7M7sGbIUFJ9PsJJTsyUZHS/vvh+82sJGEK0AxI02pGwx0PRrNmEd+xEJSdbw49360bw888Jrl2HfejQqrGfKCmpmm2vSihE4LXXUVlZVkO8MiA1FZWaivn9dgiH0Af2o5V1o55Sig99Xm45uJ+uNjsrcvvSz7AR6tEd3/jx6LRUdHYHQif0r3YPhxCi7ZKg0U6YXi+eW24juPFbVHo6BIOEvvsOXVaGWVyCcthRDgfa4bBKFrFupLPbrWE+PB5C+duw97XGkVROJ/rgQezH9cEsKECbYXZ7irlrWz5rg0FuPeUUzureHdu+/YQy0qmYMQOdKRMkCdEeSZfbdqJ8yVL8H3wAPp/VHbaoCJxOwnv2WMtsdsyDBw+POhuL1taNeEBo+3a0NtFaY/r9mMUl2HJzIW80j/j9nPP9NnqlpPDmgIGc06kTRlk5OjMD729+LQFDiHZMShrtQLiwkPKnFlu9l9JSMb0+tGlCYSE6NdUaYPDgQfz791s33dU1XEekQZtgELO4GP/bb4NhQ7lcGBkZvLd/P7PeXE3P9HSWXnIpfZRClVcQ7tEDs1MngmPypCutEO2cBI12ILB2HcrhQBkKI9ONGToEgYA1Iq3W2DpkEw4EoaCg7oABh+fmdjhAKTQKzDB7fF7+uGsnX3z5BbeePJ4zevZEAcb+A/h/cAHBU8a32LkKIVqXBI0EpLUmuGED/g8/BCDp5JNxjBhRbeTcaOahAquRuqycUGkZkaF2rb+UFFSSC4o8h8eCqo9SoDVJJ59EMC2Nf365gb+vXcfPe/bk3rHjSNYaXVCA0hDum0twbN1zhAgh2h8JGglGa035U0/he301uFwA+D/8CNdZZ5H6y1/UChzhggJKH3+C8HebDgcKsHoruVxQWkqocjjzeNlsvL1nD3PXraWP282Kiy6idyCI74rL8YWCqOISzG5dCfftWzV1qxDi2CBBI8GEd+7Et3oNRrduVTP4adPEt+ZNXGecjr1376pttdYU/PJXhL/9tnZQME1UTgf09zsaFTB2ac0d+/aw8cB+/jDhFE7r0dPqpnvoEGa3rugOCTfDrhCiBUnQSDChLVutSYqipny1HmtCW7ZiZGcT3rkLlZlBaOdOQv/9KnZQME303n1xBwyf1iwsL+OxslJ+nZ7BQ3ljcHTpCj4fhsdDcNQoCRhCCAkaiUalJFs31dWggcDnn1O2eDFobc3TvXVr3e0UpmkNLBiHN31e/lDsYUBSEi917U63/scTHH8yauNGdFIS/nPPJTj+5KM4KyFEeyFBI8E4hg2z7sAuLsbIzATALC5GV3ipeOVVq/ur201w717YueuojrUjFOKOEg+bgyH+lJXNqVnZ6KwsvL/+FaERI4gv5AghjiUSNBKMkZJCxsybKV2wgPC+vVYRw+nA3LcPXVGBTkoitG2bNQzIEfJqzT/Ly3iirJSrO+SwoFdvksvKCEycgP+SSzB79Wy6ExJCtCsSNBKQo28uWQ8+QHiH1Yhd9tTThDZuRKWmWm0UPt8Rp73a5+WOYg+DnU5e6dqNbpluwj174D/hBHz/87MmPAshRHvUYkFDKTUZ8AC5WutF9Ww3T2s9q6594k2nrVOGgf2449BeL6HNm1E9ehDatNm6+S4cbnR620Mhbi/2sD0c4h53NhPT0qwhQhwOzO7d8V98UTOchRCivWmRsaciX/RorddEnk+qY7tJQG5d+8SbTrtitxMuKyP87Xdw6BB4PI0KGl7T5L6SYi4sOMBYp5M3OnbmlC5dMF0udEYGFTfOwHvNFHR6evOdgxCi3WipksYYYEnkcT4wClgTvYFSKjeyrr59OjSUTlsX2rGT8ieeIPDtt9h79MQxfCihjRuhrMy6Wztyx3ZDtNa87vNxZ4mHEQ4nr3fsROf0DHRmJhpNOHcQvl/+HLNXrxY4KyFEe9FSQcNd43msDv+5Wus1UXc8x9onnnTarMDmLRT+4peYZWVgGAQ+/wKWLLGCRJzBAiA/FOQPxR52h8PMd2dxSpKLUO/elPzz74dLKTK/hRDiCLRU0PAAdU4MrZSaVFnl1MA+9aYTSWsKMAWgV4L+itamSWjjt4R278bIysI5bCgqKYnS++6zAobLZVVD+f2Hv+QNwwocpllnuhWmyYKyUp6uKOf3aen8OjUNp1JoVxLe3//eGvJDhv0QQhyFlgoan3G4lJALrK6xvjDSPuEGcpVSo+rYx91AOkQaxxcB5OXlNWLApZahfT5KHvwLwW++qSpAGB07kjl3DoEvNqCdTms0WqWq37hXT7DQWvOKz8sfS4rJi7RbdIkECJ2URPl10wmPGNYCZyeEaO9aJGhorZcrpWZWBoaohuzVWuuztNbrI8+nEAkK9exTa1lb4n39DQJr11pzXng8KJcLs7iEsiefsubt3r+/UWNFbQkG+UOJh/3hMH9xZ3FSkjXIobbbCQ8fRsUvfo55wgnNdTpCiHporav+EpFSquov7n0S9WSaQl5enl67dm1rZ6OaQ7/7PYHP1lrjSSUlQSiEDgRQ6WmEDxyE4uK40ik3TR4qK+G5igqmp6Xzi9Q0HJEX3nS5KL/1FsIjR1iTKgkhWoVpmuTk5OB2uxv1xdwStNZ4PB4KCgowjOodaYcOHbpOa50Xaz/5Rmlh4d27rcmRDAMdafDWhgGRgQoborXmJZ+XPxYXc3JSEms6dqaTzQZKYTochAcMoPyOP0BqagucjRCiPlrrhAwYYJUy3G43Bw8ebNR+EjRaWnIyurQUrZTVuO3zxX3fxaZgkNuKPRSaJg9nZTM2KQkA7XKhU5LxX3ABgYsvkoAhRAJJxIBR6UjyJkGjGYULCwlv245KS8V+/PEow8DWrTtBtd4qVZSXx5VOmWnyl9ISlnkruD4tgytTU7FXVkWlpxM8/TT8F12E2bNHM56NEOJoFZ14MrqgoMnSUzk5ZP3no3q3WbVqFZmZmWzbto3f/OY3R31MCRrNQGtNxcpVeJ9/vur+ClvXrqTPuAH8kXGjQqEG773QWvO818vdJcVMjFRFdYx0mdVKERo6hIq5c9BZWS1wVkKIo9WUASOe9FatWgXAGWecweOPP85bb73FGWeccVTHlKDRDIJffol3xQqMLl1Rdjs6FCK4bRuFV1+DWV6OSkpC+3z1Boxvg0FuLS6i1NT8MzubPKdVFYVhYKan47/oQvw/+bHcdyGEqNO6deu47LLLAOjTpw9ffPGFBI1Eo4NBvK+vRruSwWYjuG0boc2b0eXl4POhunWFlBSraioYrLV/iWnyYGkJq7wV3JCewf+kpGKLVEWV//IXhM4+G52eJnd0CyEa5PF4qj0vLCw86jQlaDQRHQxSsep5fK+/TnDjRrSpMbt2JfTddxAIWDfnaY3efyBmQ7XWmhXeCv5cUszpLhdvduxMh8qqqCQn3p//nODky1r6tIQQbZjb7aaoqKhJ05Sg0UTKn30O32uvYXTugtEnl+AXn2Pu3GmtrOwppRQ4HNa9GCkpVSWNb4IBbi324NOaRR1yGOVwYmZk4B82lMDFFxMeOsTaVwghGmH06NEUR+792rZt21FXTYEEjSZhlpfje+styMgk8PXXhHftqn6TntZWt1rDOFwlpaDYUNxfVMSL3gpuTM/gJympGEoRzs6i7OGH0R3qHWZLCCHqdemll/Lggw/y1ltvUVxcLEEjUZieYsK79xDauRO83upjRlXb0ATTxNSa5SWl3HtwP2elpvJm955kmSZKKcy0NMrnz5OAIUQ7pHJymrzLbUNmzJgB0CQBAyRoNIng1nxC+fmH2y7q8VU4zC1FhZguF49OmMgITzHK74dgkOCQwVRc+3t0ly4tlHMhREtq6J6KtkCCRhMoe3iB1fW1ni60nsgMeq8E/NzUpStXuLMwe/QgnJODKvIQOP1UAhddJG0XQoiEJkHjKIUPHCC8ezekp8ccEsTUmiUVFcwvLea87Gxe++EPcQcC4CkGp5Nwh2yCkycTHjRQAoYQIuFJ0DhKZmkZOJywY2etksaGQIBbiouwoXiyc1cGnHsOGAaGx4P/h5cSHH9yK+VaCCGOjASNo6S6dCa8d+/h+bvDYYrMMPNKSnjD52NWt25clpIKHTtiFhaigOCQIQTHjW3trAshRKNJ0DhK+vvvrQcOB2GtebasjPuLi7gwOYU1uX1JGzyYcFoq/gsuQIXDmB07YnbrKlVRQog2SYLGUdJhE5XkZL3dxq3b8kkCnu7dh0FKoR12fCefSHD8eHRmZmtnVQjRyn644GOKymsPH3SkslIdrJx2Ur3brFq1iscff5yXXnqpSY5pNLyJqE9Rp47cfPAgV23axC+7dWfp0OEMzMkBhwP/5MsInH++BAwhBECTBox407v00kub9JgSNI5QOBzmH//4B0OHDiV5TB5rBgzkMocTVVKCKi0l1K8f/osvbu1sCiFEk5LqqSPw8ccfc+211+JyuVi0aBH9+vWDoiJ8b72N8ngIDRpIaOxYGbZcCNHuSNBohAMHDjBr1ixef/11brzxRs4555zDK7Oy8F/2w9bLnBBCtIAWq55SSk1WSk1SSk2Jsc6tlBoV2WZeffvUl05zCYVCLFiwgMGDB+NwOFi1alX1gCGEEMeIFgkaSqnJAFrrNZHnk2pscgWQp7VeHlk/JdY+caTT5D744ANGjx7N0qVLefzxx5k+fTqpMebDEEKIRPTWW2+xfv36qqlfj1ZLVU+NAZZEHucDo4A1lSu11ouits0FVgNnxdinQ33pNKV9+/Yxc+ZM3nrrLW688UbOOuus5jiMEOIYkpXqaPIutw0544wz2LNnT5Mds6WChrvG8w6xNlJK5QKFWus1SqnLY+zTYDqRaqspAL169Wp0RkOhEA8//DB33303l112GatWrSI5ObnR6QghRE0N3VPRFrRU0PAA8UwQMVlrfU09+zSYTqTUsgggLy+v7mFnY3j33XeZOnUq2dnZ/O///i99+vRpzO5CCNHutVTQ+IzDpYTK6qdqlFKTtdbzI49H1bGPu6F0jsSePXu4+eabee+997jppps488wzmyJZIYRod1qkITzSwJ0babh2RzVkr478nwTMU0qtU0qtA7Jj7VNXOkcqGAzywAMPMGzYMNxuNytXrpSAIYRoUrqeeXZa25HkTSXyCR2tvLw8vXbt2pjr3nrrLaZOnUqXLl248cYb6d27dwvnTgjR3pmmSU5ODm63G5Vgg5RqrfF4PBQUFGAY1csPQ4cOXae1zou13zF3c9+uXbu46aab+Pjjj7n55ps57bTTWjtLQoh2SilFQUEBBw8ebO2sxKSUanQwO2aCRiAQ4KGHHmL+/Pn89Kc/ZcWKFbhcrtbOlhCiHTuSL+VEd0wEjdWrVzNt2jR69uzJ4sWL6dmzZ2tnSQgh2qR2HTQCgQCTJ09m3bp1zJw5k4kTJyZ0o5QQQiS6dj00+jfffEOPHj1Yvnw5EyZMkIAhhBBHqV33nlJKHQS+P8pkcoCCJshOa5C8tw7Je+uQvDed3lrrjrFWtOug0RSUUmvr6nqW6CTvrUPy3jok7y2jXVdPCSGEaFoSNIQQQsRNgkbDFjW8ScKSvLcOyXvrkLy3AGnTEEIIETcpaQghhIibBI2II5nDPFHEO296W8x71HWf3NJ5a0gceW/x+ezjFclbnVMLtNW8J/pnFRq+9lHbJWT+JWhwZHOYt2wO6xbvvOmR5bktmLUGxZn3OZHrnh2Z2TEhNJT3yPP8yPr8yBwxCaPyvRxLvO+p1lJf3kngz2qlBvIPJObntZIEDcsYrDnH4fDc41W01oui5jHPjdo2EdSbd6iaRjeR8lyp3rxHPvCfKaVyI69BIp1DQ9d9LbAsEixytdbrWzJzR6nB91SiSvDPalwS+PMKSNCo5K7xvME5zJs9R/Fz13geK++5CfaFW8ld43nNvPeNLCtUSi1UStXcvjW5azyvlnettQdYCCwDRrdMlpqMu8bzmJ+HRJagn9V4JernFZCgUclD4+cwTxQe6sm7UmpSAn9wPDR83bdGvoDXAYlU1eChgesOrNFa9wU8idgmUw8P8X0eElkiflYblOCfV0CCRqUjmcM8UTSU98JIg+ZkrKly21LeP4t67Mb6MksUDeV9VFSV1J9pW1/CDX4eElkCf1bjkcifV0CCBnBkc5i3Xm6rayjvWuv1kWXZ1K52aFVx5H054K5siI2qq251DeUdWKSUmhJZf0Ui5R2q3tN50SWgGte91rklivrynsif1UoNXPuE/bxWkpv7hBBCxE1KGkIIIeImQUMIIUTcJGgIIYSImwQNIYQQcZOgIYQQIm721s6AEG1J5E7ja4CZwHpgSWRVB6x7GhZGd1FVSi0EOJIbzSJ99OdF9j/r6HIuRNOQLrdCHAGl1FZgXvT9F5FhToqAs2oO9hfPvQ5KqZmVN6VFLZsMXCNBQyQKqZ4S4sh4ai6IDHeyBqskUrlsTSNujhsTz3GEaE0SNIRoWnlUH/4kLok6d4IQNUmbhhBNINLWMQv4c41xj6raJCqHuMAaNn018COsNhEPVnvIKKXUTMBTc9iRyiE9sEojWxNtWBJx7JCgIcSRG11j9NqtRFUnaa3XR0oQsyLP10QaxmdF/vKjtnNHHldr04jIw5rQKV8ptQar3USChmgVEjSEOHLras7CppRarZQaXU9vqUKoav+Id2Kmwsr5FbTWHqUUSil3JA0hWpS0aQjRtBbS8LwfjZ3FL2En5BHHHgkaQjStox6KWymVm0jzoQsRTYKGEEfGXcfyaziy9ob8qDRrTveZcHNCiGOXtGkI0QiREsBkrN5Ol0fNW94BGIU1xeusyLajsIJInlJqClZguAZrgqOZwKLKdolIY3h+ZDui9p8V2X4KsBSYE1k9Tyk1L5Hnkhbtk9wRLoQQIm5SPSWEECJuEjSEEELETYKGEEKIuEnQEEIIETcJGkIIIeImQUMIIUTcJGgIIYSImwQNIYQQcZOgIYQQIm7/D36UF8lnn91PAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, "output_type": "display_data" } ], "source": [ - "from gudhi.dtm_rips_complex import *\n", + "from gudhi.dtm_rips_complex import DTMRipsComplex\n", "\n", "m = 0.1 # parameter of the DTM\n", "N = np.shape(X)[0] # number of points\n", "k = int(m*N) # parameter of the DTMRipsComplex in gudhi\n", "\n", - "dtm_rips = gudhi.dtm_rips_complex.DTMRipsComplex(points=X, k=k) # DTM-Filtration in gudhi\n", + "dtm_rips = DTMRipsComplex(points=X, k=k) # DTM-Filtration in gudhi\n", "st_DTM = dtm_rips.create_simplex_tree(max_dimension=2)\n", "diagram_DTM = st_DTM.persistence() # compute the persistence diagram\n", "\n", "# plot the persistence diagram\n", - "gudhi.plot_persistence_diagram(diagram_DTM)\n", - "plt.title('Persistence diagram of the DTM-filtration with parameter p ='+str(p))" + "gd.plot_persistence_diagram(diagram_DTM)\n", + "_ = plt.title('Persistence diagram of the DTM-filtration with parameter p ='+str(p))" ] }, { @@ -368,80 +318,28 @@ }, { "data": { + "image/png": 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", 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\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" } ], "source": [ "' DTM-filtrations for several values of p '\n", "P = [2, 6.62, np.inf]\n", + "fig, axes = plt.subplots(nrows=1, ncols=3, figsize=(18, 5))\n", + "fig.suptitle('Persistence diagram of the DTM-filtration', fontsize=18)\n", "\n", - "for p in P:\n", - " st = DTMFiltration(X, m, p, dimension_max = 2)\n", - " diagram = st.persistence() \n", - " \n", - " plt.figure()\n", - " gudhi.plot_persistence_diagram(diagram) \n", - " plt.title('p ='+str(p))\n", - " plt.title('Persistence diagram of the DTM-filtration with parameter p ='+str(p))" + "for index in range(len(P)):\n", + " p = P[index]\n", + " ax = axes[index]\n", + " st = utils_dtm.DTMFiltration(X, m, p, dimension_max = 2)\n", + " diagram = st.persistence()\n", + " gd.plot_persistence_diagram(diagram, axes=ax)\n", + " ax.set_title('with parameter p ='+str(p))" ] }, { @@ -466,14 +364,12 @@ "outputs": [ { "data": { - "image/png": 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\n", 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", "text/plain": [ - "
" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -481,7 +377,7 @@ "' Example with another dataset: necklace '\n", "N_obs = 350 # number of points sampled on each component of the necklace\n", "N_out = 0 # number of outliers \n", - "X = SampleOnNecklace(N_obs, N_out, is_plot = True)" + "X = utils_dtm.SampleOnNecklace(N_obs, N_out, is_plot = True)" ] }, { @@ -498,35 +394,23 @@ "outputs": [ { "data": { + "image/png": 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", "text/plain": [ - "Text(0.5, 1.0, 'Persistence diagram of the alpha-complex')" + "
" ] }, - "execution_count": 9, "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, "output_type": "display_data" } ], "source": [ "' Usual alpha-complex on X '\n", - "st_alpha = gudhi.AlphaComplex(points=X).create_simplex_tree() # create an alpha-complex\n", + "st_alpha = gd.AlphaComplex(points=X).create_simplex_tree() # create an alpha-complex\n", "diagram_alpha = st_alpha.persistence() # compute the persistence diagram\n", "\n", "# plot the persistence diagram\n", - "gudhi.plot_persistence_diagram(diagram_alpha) #plot the persistence diagram\n", - "plt.title('Persistence diagram of the alpha-complex')" + "gd.plot_persistence_diagram(diagram_alpha) #plot the persistence diagram\n", + "_ = plt.title('Persistence diagram of the alpha-complex')" ] }, { @@ -552,50 +436,33 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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8Bz/4AT/84Q+XPX6xYNXnww8/5Ny5c7N+1miQ1NPTw3vvvcfg4GCzS1YoFAqF4qWhFXrva/1mQxkdKRQKxXOOh8BDa8FXraRnaGiImZmZ+tf3v//9Wc+XSCTm7Yqm0+kly3Cz2SyXLl2a95jG/lTfyXduz6pCoVAoFIpW6f3Kynf7+vo4duxYU4/zHfVTqVT9/5tFBaUKhUKhmEVbW9usr8bSXaA+3mUux48fX/Scn3/++YLjYL71rW/Ne+zcflWFQqFQKBTPHr+9ppkAc61u+qp8V6FQKJ5znrXR0VyhSaVSHD9+vB509vX1kUgkZj2ur69vXrDZ09Mzq5z30qVLnD59WhkfKRQKhUKxAM/a6GiuMeFSrNVNXwWlCoVC8ZzTup7S5htNLly4wIcffsiJEye4fPkyFy5cqP/bRx99xIkTJ+pjX3zmBrOJRILjx4/z8ccfk0gkGBwcnHUehUKhUCgUX9KantL1aypdS1JZSLmOK1MoFArFupHL5Whvb+c/9r9CNK6v+XzFvMvfeeMeMzMztLW1tWCFCoVCoVAo1kor9d7X+qGhoVlaP9dpvxEhBMuFjB9//HE9+bwaN321U6pQKBTPOTXjg7WX77biHAqFQqFQKNaHVui9f/xqnfYXY61u+iooVSgUiuccDw23Bb51HqpwRqFQKBSKzUor9N7X+oV2StdCKpWit7cXmO2m3+xuqQpKFQqFQqFQKBQKheIlwnfYbwW+m75vdOSzEjd9FZQqFArFc85GGB0pFAqFQqF4tmyk0VE2m51lZNTotN8KN30VlCoUCsVzjj8Qe+3nUUGpQqFQKBSblVbo/Uq0/tKlS3z66afAl876/piYRqf9VrjpK/ddhUKheE7x3fj+7dWjRFrgvlvKu/z9r91Q7rsKhUKhUGwiWqn3m1Xr1U6pQqFQPOe4UuDKtTvntuIcCoVCoVAo1odW6P1m1XoVlCrWjL/ZLsTm/CNXKF503Ba577qqfFehUCyBlFJpvUKxgbRC7zer1qugVLFqpJR4nkelUsFxHAKBALquYxgGQgglXAqFQqFQvAB4nodlWVQqFQKBAIZhoOs6mqYprVcoFC1BBaWKVSGlxLZtXNetf5XL5Xow6genvnCpIFWhWD88qeG1wH3XUxYDCoWiASklruviOA6O4+C6LpVKBahVR2mahmmaKkhVKJ4RrdD7zar1KihVrBjP8ygWi1y+fJm33367HoRqmoaUEikljuNg2/asINU0TXRdrz9WoVC0BlW+q1AoWo2ffO7r62P37t0kEom6hvtaL6WcFaTOTUirIFWhaC2qfFehYHbG1HVd8vk8c82b/SDUDzrnBqmZTAYpJVu3blVBqkKhUCgUmxDXdbFtG8/zKJVKuK47698bq58ag1S/padcLpNOp9m7d68KUhUKRVOooFTRFI3lusCsIHIpgZkbpOZyORzHobOzE9u26+dqFC0VpCoUK8OjNW563tqXolAonmP8JLLjOEgp60HkctMD5wap+XyesbExdu3aVS/51TRtnt6rIFWhWBmt0PvNqvUqKFUsS2PG1BeQxp3QleALl2EY9eP9gNeyLEAFqQrFSmnFMG3/PAqF4uXE87x6JRRQ1/vVBI1+IDtX630Pimq1OqsnVZkkKhTN0Qq936xar4JSxaIsljGFL3dHV2oPPzfjulC5r+d52LZd30n1g1g/SPWFS6FQKBQKxdpo1F1f0xs11tftlWr93O8Xau3xW4KUSaJCoVBBqWJBFsuY+qxFJJbaXfVFqfGxvlhaljVrp3WucCkULyuu1HBb4L7binMoFIrnh8bkM7BgENhM+e5i516M5fwnlEmiQrEwrdD7zar1KihVzGK5jKmP/zPP81YkWCsNHpsJUjVNmydcKkhVvEx4CDxa0VOq3jcKxcuCr6Wu684KEOfia7yvv42avBir0XoVpCoUy9MKvd+sWq+CUkWduWZGS5XN+D+fmppiYGAAgI6ODjo6OkgkEkQikUWPXU3GtfF5mwlS5/akqiBVoVAoFIrZTvqNXhGLIYSgUqnw61//mmKxSHt7e13v4/H4ooHhWrV+qSAVlP+EQvGioYJSBTA7Y9qMG54vNrdv3+bQoUMEg0Gy2Szj4+Pcu3cPwzDqotXR0UE4HAbWVva7EI1Bqr8mz/OwLGuWkYIKUhUvMqp8V6FQNMNCTvrL6WG1WmVwcJDdu3fz6quvks/nyWQyPH78GCkliUSinpCOx+Pr0ge6WJCqTBIVLxuqfFfxwrLSjClAsVikv78fgN7eXtra2nBdl46ODvbv34/ruuRyOTKZDGNjYwwMDBAMBuno6KibJq0HjXb0/muD2UHqw4cP2bNnD+FwWAWpiheGVgzT9s+jUCheTHwtbFbrHcfh9u3bFItFdu3axaFDh7Asi/b2dnbt2oWUkkKhQCaTIZPJ8ODBA4QQJBIJwuEwnuet2CCpWZYzSRwbGyMWi5FMJpVJouKFohV6v1m1XgWlLzGryZiOjo5y69Ytdu7cSS6XIxQKzXuMruv1HVKoCdvMzAyZTIZ0Ok21WuVXv/pVPbva0dFBIBBo+etbKEgdGhpix44dVKvVJbOrSrgUCoVC8SLgJ599r4hmtD6fz3P16lUCgQAdHR3EYrF5jxFCEI/Hicfj7NmzB8/z6kHq5OQkjuPw85//vOnWnrUwt7Vnenq6vj5lkqhQPB+ooPQlZaUZU9d1uX37NuPj47z++ut0d3czNDTU1K6nYRh0dnbS2dmJaZrMzMywfft2stksjx494ubNm0Sj0VnCZZpmq15qHf81+nPR/PIfKSXVanXRuWlquLdis+NJgbfGYdr+eRQKxYvDSpPPfvJ2YGCAffv2cfDgQb744oumtF7TNNra2mhrayOZTNLX18dXv/pVMpnMsq0964GfcPZflzJJVLwItELvN6vWq6D0JcMPwCzLajrgyufz9Pf3Y5omJ0+enNUfutJSXF8ItmzZwpYtWwCwLItsNksmk2FwcJBSqUQ8Hp/Vp+ILSytp7HvRdX1WkFqpVGat1zTNemZVBamKzYbXovLdzTpQW6FQrBzbtimVSpim2ZRu2bbNjRs3yGaz9Pb20tnZCazOC8LX10QiQSKRqLf2zMzMkM1m57X2+F/BYHBVr7WZ9SiTRMWLQCv0frNqvQpKXyL8jOm9e/eoVqscPXp02Yzp8PAwd+7cYd++fRw4cGCWacBqb9ZzA9lAIEB3dzfd3d1AzVTB71G5e/cu1WqVeDxeF6329vamLOkXYylH4WaC1LnDvVWQqlAoFIrNgu9SOzk5yfXr1/md3/mdZTUqm83S399PLBbj3XffndVS06o5pbquk0wmSSaTwOzWnqGhIW7dukUkEln31h5QJokKxWZEBaUvAXNnj2qatqz5gG3b3Lx5k0wmMytj2ogQAs/zVrSWZm7owWCQbdu2sW3bNgDK5XJ9J/X27dt1owV/F7W9vX1dHPYWC1I9z1NBqmJT4UkNrwVueq04h0Kh2Dh8rW+cIb5c8vnBgwcMDg5y8OBB9u3bN+/xq62KWo7G1h6ofe7IZrMtae1ZyXqbMUlUQapis9AKvd+sWq+C0hccP2PqOA7wZTnqUjdsP2MajUY5efLkouU0/s14pTfllYpbOBwmHA6zfft2pJSUy+X6Turw8DCu6zY9N20tLBWkVqtVKpUKmqbNEy4VpCrWGxeB24Jh2K04h0KhePY0Jp99rwhfpxajWq1y/fp1isUib731Fu3t7Qs+rlU7pcthmmZTrT1+gLqerT0wO0ht9J9QJomKjaQVer9ZtV4FpS8wjQIF1AO1xQRGSsnDhw+5f//+ohnTRtYre7rc8ZFIhEgkws6dO5FSUiqV6kHq3LlpvmvgelrS+/ii5bourusuapy0HjPcFAqFQvFyspiZkaZpi1YzTU9Pc+3aNTo6Ojh58uSyO5DPWuvh2bf2LMZSrT3KJFGhaB0qKH0BWShj2nhjXCiYtCyLa9euUSwWOXHiBIlEYtnnWW1Q2so5pUIIotEo0Wh02blp/oia9ZyTutBwb38OrBCCiYkJurq6iEQisyzplXAp1oIq31UoXk58rXddtymt9zyP+/fv8+jRIw4fPsyuXbuW1Z/NoPWwstaexoR8q2nGf2JmZgbTNGfNSVVBqqIVqPJdxXNDM/bvc3tB/YxpIpFoKmM69/k20012sblp6XSaqakpAD7//PN5lvTParh3KpUiFArV/22xnlSFYiW4tKYcx137UhQKxTOgMeG52Gi3uYFhuVzm2rVr2LbN22+/TTweb+q51iPAbAVLtfYUi0Xu3bvH5OTkhrT2jI+PEw6HiUQi9cco/wlFK2iF3m9WrVdB6QvEUhnTRvyeUs/zGBwc5OHDhxw6dIjdu3ev6Aa5WbKnS9E4N23v3r389Kc/5dChQxSLRcbHx7l79y6BQGBWue96zU3zX7thGLPmpDqOg23bs4LUxrlpKkhVKBQKhU+zs0cb9XZiYoLr16+zdetWjhw5sqIy1+dB6+e29vT19dHR0YFpmhvS2gPzZ6Irk0SFYmlUUPoC4GdMG911l+sFdRyHy5cvY1nWijKmc8/zLMwPWk17ezvd3d2z5qZlMplnNjet0SBqoXJfP0iFhY0UVJCqmIsq31UoXg58rV9sd7QRPwF969YtRkdHee2119i+ffuKn3MtgdJGVVMJIQiFQmzfvr2p1p6Ojg6i0WhL1zpX60GZJCrWjirfVWxams2YNpLP55mZmWHHjh0cO3Zs1e51flDqfzV7zGai2blpjZb0a5mbtpRALxak+sO9QQWpioVxpYbbApFpxTkUCkXrmeuk34zWl8tloOaof/LkyXop6UrZCFPDVrNQa08+nyeTyTA1NcXg4CC6rrestacZrW98rDJJVDRLK/R+s2q9CkqfY1aSMYVaee/AwABDQ0OEw2G++tWvrun513Kz3qwsNjfNz6wWi8VVz02Dlc9Omxuk+iXa/k6qEGJWkOoLl0KhUCheDOY66TcTnIyOjnLz5k0ATpw4sSKdmstaSnE3m++Ej6ZptLe3097ezr59+/A8j1wuRyaTmdXa4+v8Slt71qr1c00SFyr3VUGq4kVDBaXPIavJmJZKJa5evQrAoUOHGB0dXfM6XoTs6XKsZG6ab0m/1M7zWgTaF6XGc/kfVizLqguUClJfPiQCrwVGR3IF50ilUly8eJGenh5SqRRnzpxZ1LX74sWLnDp1CmDeY1ZyHoXiZaLxHu9rx3L3c8dxuH37NhMTExw9epT+/v6WjGJbqZPt86Y7mqbVZ5/Obe0ZHR1dcWvPWrV+qdYeZZL4ctMKvV+J1j9LVFD6nLGajOnY2Bg3b95k586dHDp0iMnJyZbsVj6vPaVrYam5aQMDA03NTWuVWDcTpPoD1BuNk563DwuK5dmI8t3333+fK1euALXA8nvf+x4XLlxY9LFzOXfuHGfPnl3ReRSKl4W5rTnNaH0+n+fq1asEAgHefffd+u5oK0ajrGWn9HmkFa09rdT6ZoNUZZL44qPKdxUbjl/K0dhbuNwNz3Vdbt++zfj4OK+//no9kGqVK97ztlO6HuK40Ny0TCZDNpudNzeto6MDz/PW7Ro0E6T6YhaLxVSQqlg1qVRq1vc9PT1cunRpwcdms1kuXLjA6dOn6z/7+OOPOXv27IrOo1C8LPha34xxIdTu9UNDQwwMDLBv3z4OHjw4a3dzrdr3vGk9tF7vV9ra47ruump9MyaJjuMQiUTqgaoKUhWbHRWUPgf4GdMHDx4wNTXFsWPHmsqY9vf3Y5omJ0+enNULsZpSnKXW9iyOeV7w56bt2LFj3ty04eFhAG7dukVnZ+e6zk2D2UGqf839IeNvvfVWXdTmGidt9IcJxcrxpMCTa/+9NXuOS5cu1XcQfJLJJH19ffT29s57fGNAevHixfr3Kz2PQvEi4yefZ2Zm+MUvfsG3v/3tZe/Htm1z48YNstksvb299aAJvgwMNyIo9XlR9b6Z1p5SqUS5XG6qtWctLBak/vKXv+TNN98kEokok8QXiFbofSs+L6wHKijd5DTOHvWtxJcSKSklw8PD3Llzh3379nHgwIF5Nx7fJn6tPI/Z02fJ3LlpnufxF3/xFySTSfL5/IbMTYMvHXyh9vdlWdYstz8VpD5/uGi4tKB89+k5crncrJ8Hg8FZ/VPZbHbB49Pp9LyfNfaHZrNZ0uk0PT09Kz6PQvEi01iu26y2ZrNZ+vv7icVivPvuuwuWj7YiCa20fnnmtvZcuXKFSCSCbdtNt/a0Cv/3LqUkEAhgGIYySXyBaIXet+LzwnqggtJNSqPzmu+uq2nakuJi2zY3b94kk8nMy5g20ury3ZXeyF7UzOly+Ndpx44dBIPBReemNfaotHpu2lyzjLk7qf7ctKVG0CjhevHZvXv3rO9/8IMf8MMf/nDZ4xYLMn0+/PBDzp07t+bzKBQvEnOd9P2k4WL6KqXkwYMHDA4OcvDgQfbt27fk+JFW7JSulpdV733jJH8ubGPV1EKtPW1tbS3dufR3Sxv7TRv/bSmTxEZ3X4XiWaKC0k3IYrNHl9rh9DOm0WiUkydPLukK97L2lG40/rXyr8FSc9MmJye5f/8+hmHM2kldy9w0fw0LCV9jkNo43FtKOS9IbZybpoZ7bw5aXb47NDREW1tb/edz7yeJRGLebmY6nV7SNTebzXLp0qVZj1nNeRSKF4VGJ/3G/lH/nuoHqY1Uq1WuX79OsVjkrbfeor29fcnnaFVQqrR+Zcy9Xsu19riuW3f/TSaTxGKxNQWp/vMvpvfKJPH5RZXvKp4ZS80eXagMR0rJw4cPuX///rIZU5/ldlyb5UWcU7qeLPe6F5qbNjMzQzabnTc3zd9JXcncNKBpo6W5u6mNQWqlUqk/xg9SGy3plXA9ezw0vBaU4/jnaGtrmxWUzuXUqVOcP39+3s+PHz++6DGff/75vGBzNedRKF4EPM/DcZx5yWf//2G+ZkxPT3Pt2jU6Ojo4efJkU7NHWx2Uqsqo5liqimxua4+UkmKxWA9SW9Ha0zihYTmaDVJV1dTmoBV634rPC+uBCko3CYtlTBuZu1NqWRbXr1+nUChw4sSJpncXWrlTulI32bmPvVN4RH/uPmXXYme4iyORvTyqjHKn+JCqV2VnsJvD8f30hHdhaq35c92oG+lKRV3TtLogzZ2bNjIywp07d1Y0N81fw2qyrypIVTTi94T6pFIpjh8/Xr8H9fX1kUgkZj2ur69vnqnRcudRKF40mpk96t+j/cDC8zzu37/Po0ePOHz4MLt27Wr6vtrqntJmdWzuv09Wp+nL3WTaztJhtvNKZB+O53A1f4ucUyBhxjkUOcDB2F6iemRN611sDc+SlbQ2CSGIxWLEYjF27969bGtPR0cHkUhkWX8RWHintJn1LNTao/wnFOuNCko3AUtlTBtp3OH0M6aJRKLpjKlPK4PS1RwjpcTybH489uf8bKqfkmsDGiHdRAgXgY0tbTwpkUBkMsyR2H5Ob/smu8Jb17zujWa1N+6F5qZls1my2WzTc9NaNZKm2SB1oeHeSrhajysFbgvKcVZyjgsXLvDhhx9y4sQJLl++PGu26EcffcSJEyc4e/bsrGPmBqHLnUeheJFoTD7D4rNHG8t3y+Uy165dw7Zt3n77beLx+Iqes1XGhqst3/U8j19mPuc/T/yErF3Ak4KAMDC0n2N7VSQetnSRUvJT7TfsDe/ir3d9gzfbv7LmNW80q9W6VrT2rHZne7HXoILUzUMr9L4VnxfWAxWUbiDNZEwbEULgui737t3j4cOHHDp0iN27d6/4jb8ePaXNrEFKyaPqE65o9/h08Bq382OUXdAQeNKh4FggPIKaJKSBRKfiScpuld9k7nO7MEJvWw9bgu0cjOzmcGw/Aa35YHyjaZVI+BiGQVdXF11dXcDCc9NisVg9QE0kEqsypmqGxYJU3zipUqnUzbpUkNp6nvVIGKgFmL5pUePIF2DBwHJugNrMeRSKF4VGJ33/Q/xi+PfTqakp7t69y9atWzly5Miq3Fo3qqd0yppmMPSYu08ec7OQIue4CKEhpUdZ2HiOhy4kIU1Dw6AqXSqOw0BhiMfl/8Ch9GV2hrawJ7yDw7GDtBmxNb2GZ00rtXalrT0dHR31Y1utr8okceNRPaWKltNsxrQR27apVqs8efJkVRlTn1b2lK5EqPrzd/nz/GWmtTQj+SJZu7YTqgEaEiE8pBRYHoCLi0BDID0PSzhMVfP8KjPAodhWBkuPeVwZ4/e2fANDrI+teqtZ796aheamZTIZstlsfW5aKBQCajvtz2Jumo8fpLqui+u69PX18eqrrxIKhVSQqlAoXlgWctJf7h7n6/OdO3c4evRo3cF1NbS6fLcZxquT/OnUXzAUGqNUcpm0XFye6jwSXXggars1Vc/FkwACpMSWDpbn0p8bpOxWeFQZ4X7pEb+/5Zu0m6v7zLMRrKfeN9Pa41dJjY+PN9Xas1qWM0m8d+8e8Xicrq4uZZKoWBYVlG4AjRnTZt+YExMT3LhxAyEE77zzzpqCiVbtlMLSN968U2KgOMRUdQZdCG4V7qMLnbKrkZbgUXvdLtQCUKmhPw1MXSmQSDwkLk9HzyDIOTYFx6Un2sWdwkMOR/ezP7ITT8ple0432nCh1TulyxEIBNi6dStbt9ZKnqvVKvfv3yebzdbnprW1tdV3Up/F3DS/lGx6ehqgHqT6JUC+YDXOTVPCtTxSanhy7cYFsgXnUCgUNRZz0l+KYrFIf38/AK+//nr9/r1ansVOqe05PCg/Zqw6gZAwYo0y48xgOiFGq2mcBq0HgSc1DDyEeLrrgwQpcaX29HOBwPUkT6p5TiQOMlqZ4Hr+Dic7juFIF1MsP1NzM+j9s9KuhVp7xsfHGRgYaLq1p1XMrZrK5XKEQiHlP9FCWqH3m1XrVVD6DFltxnRgYIDh4WF6enp48ODBmne3/Odc601zIaHyPI9r+QfczD/ibnEYRzrE9CBFt0TGSbPP2MaYLOMfJYDafqnAQyCkQBcSKWs/9wf8iqeiJpEMlTPsDHdQ9Sx+MnUZj9/gSpc94e28lXiNrcGF57NuFjbqxhsMBonH40gpOXr06CxL+tHRURzHqQep6zE3zcfP2vs7pPDlTqrjONi2XRe2uT2pKkhdGBeBSwt6SltwDoVC8WXPXbNaDzA6OsrNmzfZtWsX5XK5XtmyFlrRU+qvfe5rGCqPcat4n4FCiqJbIKyHQHo8scZJmgnGtTKOpOGuUlN7j1ri2RC176WkHpAKZO3xUjBtl3hSnSGiBfll9jp3i2MU3DJdZju97Yc5FN27qfVgo9ZmGEa9EurEiRNNtfasxJdkJXieN6uEV5kkrp1W6P1m1XoVlD4jVpMxLZVKXL16FYCTJ08ipSSVSq15LY1282sNSj3P48GDB7VZg/EA/7XaR6o6TtGt4EiXuB5ib2Qr24OdpJ00j6pTVHExhcCRfjjqSxWAQBMeQkhc+eWuXU2oNJDgIRmr5JhxM2SdIjuD3ehC41r+HiPVCf7utm+xJdCx0JI3lI3O3MJso6Nm56Y1WtK3Ikj1g9LGczXupMLSQWrj3LT1CJoVCoVitfjJZ98rohmtdxyH27dvMzExwRtvvEF3dzfj4+Mb0maz1DmmpqZ48OAB4ViYy8ZtrlXuUnCL2J5NUAuwNdjJ/sgupp0001aGnHDRECCoGxc+PSPyaQCqPS3j9erfi3oS2hAaY9UsISGYcStIaRLSAjwqjzNSmcTpdjkaP7Cm17ZebLTeN36+W6y1J5PJ1Ft74vH4rJ3UVlVNzZ21q0wSFUuhgtJnwGoypmNjY9y8eZOdO3dy6NAhNE2jVCq1dL7oQoO5V4KUktHRUaSURLa08b9P/xUpb4IgBmgemhAU3QqDxVFC2h4SRpwxOw2AhoapCWzPfZoXrYWnAU0jrEtc4eI6tZ/qopbp9ZDoQiClx5PqNJpmsz+8i85AbXh4uxHjceUJ13P3+GbXW2u8Sq3nWZfvLraGxdwel5qb9ujRozXPTfNpZn5as0HqXCOFlzVI9WRrjAu8jc+bKBTPLatJPufzea5evUogEODdd9+t7462ohe0lefxk+Tbdm3nZ8Ur9Ll30AG02szDvOtRdKdBGnQaSR7ZQ0j/Pi10qtJ+GnbWbjKG0IjpAsuzcJ5WROlCq+2cPv1UoAlJzimRly7bQ11sDdbKU9vNGE+q0/wme4vDsX2b0lfiWZbvLsRSTvsLtfb4Wj+3tcevmlptkLrc50xlkrhyWqH3m1XrVVC6jvgZ04GBAbZs2UJbW9uybyLXdbl9+zbj4+O8/vrrdHd31//Nz1a2YofTX99qyWazTE5OoodMij1B/iTdxwMtjYdA10xcz8KTXk2kpcP1mQccCG0lpBkEcKjgoUsI6wGkhLJXyyqbwkAQQJc2ISGxkWgIHFyEkOhIyl4VXIsuI0LSbJu1rrAWZKgyvurXtZ5stEj5a2gmcBNi/ty0fD4/qwRI07RZQepyc9N8fLFcSQC5WJDqD/eGhd3+XpYg1WtRT2krzqFQvIy4rsvQ0BBSSrZv395Uz+PQ0BADAwPs27ePgwcPzjqmVaNc1rpTWq1WefDgAVWrSuS1bv6scJ1+HlERgrgWpOxWKXoanicAj5v2BD2BToJGkBBV8hIcXEKaiRAaFdfClZKApmEIHUOHkAYzro6GhisdPEAXUHEtdM0iIoLsCn1p9iSlJKZHyNg5cnaB5NPE9GZio/V+JTPJg8Eg27ZtY9u2bQAtbe3xvVOaZTmTxMVG0LxMQWor9H6zar0KSteJxozp+Pg48Xic9valb5z5fJ7+/n5M0+TkyZOEw+FZ/97Kslv/PCtFSsmjR4+4d+8esViMm+FJ7mWmcDwHDYErBDlZxhPe02xnbRfUkg4PyhNst2Ps9WLcDGYpSQshNUASFmGE0Km6LlUHNKHTHtAJYZN3K5hCJ6SbSCCgGbQbBq50ag5vns1oNU3azlN2K1Q9l7SVIxloW+bVPHs2+qa52jmlQgja2tpoa2tbcm6aX/qz0Nw0n5WK1GLrWSpIVTupCoXiWdDopD8zM4PneezYsWPJY2zb5saNG2SzWXp7e+nsnO+D0CqX/LUEt+l0mv7+fsLhMOlYlV/n+qm6FrqojXKbcWyqHrWEsSafmhPC42qWbRWT1+1t3AtnyFB+uksKQS0MUseVHlnbQ2AS1aHL1EjbJQxNEBQBQEcg6A6GyTkVql4VTWiMVGZ4UslRcqtE9QAjlcymDEphY/V+LTPJ57b2lEqlekJ6pa09a63IW0zrlUnii4kKSteBxn6SRsfRxZBSMjw8zJ07d9i3bx8HDhxY8E3s/6wVb3L/PCvBcRyuX79ONpvl+PHjDAwPcr/yhI5QAk93GatmajcK3Kev98tSHSkktvA4vOUAB0djfD0c4je5ezyReUw9wJSw6QjGSAZjOHgUnCpFt8L+WJxbhRSgYWoGHWaMA9GtuJ7D7eIgjyvjzNhlck6pVqYkJVNWnn81/Ke80/EGbUaUfZEthPUvneY26ka10ZlTfw2tCMwWm5uWyWR48uTJgnPT/LK0tf79LsRCwuW7XNu2XX9MY5DqC9eLgPfUKKwV51EoFM3h32N8LdV1vT7mbTGy2Sz9/f3EYjHefffdRV1QW1m+u9KgVErJgwcPGBwc5NVXX8U0TS49vI6HwfZgJ1kng+VZWFLiSokpAFErudUBG5d423ZeG93P19u/xrVSipQ7jq4ZzBguum6wI9KJFLWk8lQ1xyvhTh5qKQqugylMonqI/ZEudgTa+avsLUYqEzheiCfVPAJwpI0uDC6O/Yrxaoad4SQ7gp20m1/OM93oncqNfv5W6KwQgmg0SjQaXbK1pzEh3dja02q9X4n/xItqktgKvd+sWq+C0hay2OxRTdPqPSZzsW2bmzdvkslkFs2Y+qw2mFzsPCsRqlwux9WrVwmHw3UhLQxVqXoOMT2E1CSdgTgj5Wrd0EATAiSYmk5UC1GVDgG9ZlLzO0e/zu/KtyiXy/y7h79gcuY+5KtM56oEgwGigSAFCY5r0G5Ent5gDdqNMGEtSBXBztBWik6JKXuGoDAxNZ1tZieuB1dzKVLFDAkzQXegjb+x9U32hbrWdN3WykYbH/hrWI/dwsa5acCCc9NCoRAdHR0EAoF1FwdflHwag1R/J9VfZywWmyVczyPu0zFKrTiPQqFYmsb7SaNXxFK7m42B3sGDB9m3b9+S95uNKt+1LIvr16+Tz+d56623aG9vZ/jJCHkqdOldGJpBVyBJ0S1TxHpaEaUh8NDQiBkhKp5HQDMxNIOv7D3EW7FjWJbFZ2M3uDj5GVELpgtTBAIBgsEgERFgyq6wIxQk77joGrQbOslAAKHBnnCCnGVyozSJjsDUdZJGgjY9xmBxlLHKBPsiCeJmlK+3H+FE4siar9ta2Wi9X6+geKWtPa7rrquuNhukOo5DJBKpGyU+z1VTrdD7zar1KihtEXMzpo1/8IsJlZ8xjUajnDx5ctnhxo1vurXgv0mbOY+UkpGREW7fvs3+/fs5cOBA/QYT0YKYQifnlAgIjT3hbgyhc7c4BEiEBF3oeBLybs1VreRYSBmuryMSiWDEwsTsKFvDnU+DhiqVaoWcledWeYZo2EXTBDHNZNzKUPGqRI0gX2s7RNYuUPIcugJtRLQwBbfKg8okmtCQ2GhIHpbG+c9PLvOPd/3umq7bWtnozCnU/k7XaxZpIwvNTfNFa3x8HMuy+NWvfjVrJ3W9LOlh4SC1UCjw+eef841vfKMuanPdfTf696VQKDYXS5kZLab11WqV69evUywWOXHiBIlEYtnnaWX5brPnmZmZ4YsvviAej3Py5Mn6Lq4pDMIyQMGpoEmDDj0BYSg7j7G8WpuOjokrYcay8ZBYXhEPWf+cEQgECLdFCRVCbAt14XoeVrVKtWpRtIpM6AV2R2xcwyWsmRTdPI/KFdqMNnaEtvBG7CCjlc/oNKOE9CCG0LlfGkETgqrn4XomE5UCf+58sSnKeTda79dSvrsSlmvtkVLyxRdfkEwml23tadV6FgpSP//8cw4dOkQikVCtPZsYFZSukcUypo3MFQUpJQ8fPuT+/ftNZUx9WrVT6p9ruaDUdV1u3rzJ1NQUb775Jl1dtZ1GT3qMVbKknRKudLiRv48uBEEtQFyLkNDjlLwylnSoytk7xJcL9+gSh2b9bF+ki99kBil7FkVZpqhVEGGBpcF2M8peI86j6hhpK4sQgrxe5GhkL73RV7hSvEtED9FpJnCky1jxCY7nUJEVKq5L3nEAwZSd4+rMvjVft7Wy0UHOeu2ULodhGHR1ddHV1UVHRwf379/nwIED9czqjRs36nPT/DKgtc7jXYpGtz//eebupC5knLTRv7/FUEZHCsX6498j/L745bQeYHp6mmvXrtHR0cHJkyebTr49y/JdKSWPHz/m7t27HDhwgP3799dfW9bO89gaR3qCe/lJbG+coGbSZoZIGG145Km6kqLjIWVt/IsA7hem2RsY4Ri99efZEUoS0gPk3RLgUtKLeGFJ2bBo0w0OBnYxZI8yY+VAgGu4aIbON+PfpKQZRPUQyUA7mhAMVyYou1XKrofjeQzkJxBCA+Hxl4GbvMHGzyt/Ecp3V0pja8+ePXv4i7/4Cw4dOkShUFi2tWc98INUz/MIBAJ1h9/n2SRRGR0pFqRZ+/dGofJLYwqFQtMZU5/GN9daWe48hUKBq1ev1k2X/JvGjF3ifzzpY7AwzmD5AXkKBHQTgUbJrVB0K/REd/CoNEnZyaFBbb4oNaHKeAWuaiP83Ybn6k3s5edTd7iWewxINKFR9RwkHrFQO3vad7LV6yZdzVKslpmu5OjMhrg++gVum8Q1be5Uh6hKlwkrjyMtNA0SRhsRLYorPabsGX41M8AJEmu+dqtlo8t54NllT5dbg67ri85Nu3fvHuVyed3mpvm4rjsr0PTP7/+e/FFOjW5//+bf/BtOnDjBW29trpFDHqI1I2E2aZ+JQrGR+MYqjuMsOdqtUes9z+P+/fs8evSIw4cPs2vXrhXde59V+a7jONy4cYNMJsOxY8e+rG7xXD5L93M9N8iDmXEGZQbDMzA0napnM1apsjXYxuFYgCuZ8aejX8DQQENSciVfaEP8H9wyceIA7Ap18dX4Xn4y3YcjLUyhUfU8wKY9qLOlo4stdJG1Z8hXCuSsGdpLUYa+eIwWMggG4W51CMPwyDhFslYVF0FcD5MMRuueEpczDzkkN3a39GXZKV1uDQAdHR31SRJLtfb4X4v1Wa+FRr1vxiTxl7/8JdPT0/yDf/APWr6WtdIKvd+sWq+C0lWyXMa0EV+o/IxpIpFYUcZ07rlaIVRLnWdsbIwbN26wZ88eXnnllVlv3j8dv8qNmSGSgSiecAhKE10L0GnG2BKMU3KqBHQDnrrzGUJHIpGy1mPqSJcH+hRFp0LUqAW6cSNMb8cunlSnKXsuAsGroTbKXpGMlXv62DDbw924IQ8zMMVbW4+x39xCOp1m4Mkkn5VTVKXERSKFhulplHAJB56WDgmTjJ2nKKJrvnarZaNFyl/DRmcAFzI+mDs3rVKpkMlkyGaz3LlzB8uyWjY3zccXqbksFaT+63/9r4nH45suKFUoFOvDSmaP+lpfLpe5du0atm3z9ttvE4/HV/y8rSrfXSoo9WekhkKheS1E13L3+HXmBnEjSsWt6XnENAmJINuCSSSCglPB8sq1PkMNEF7NTwKB9DzGKTNqjdJNd30tJzp286Byi6mqieNJdoYjdAQkGWeIrJ2hM9BFZyBJZyDJk+oYr249RO9rx2vtH08sflT8nEzJw5PgCh1DSITm4kgXHY2gpuN4kmFvhoNrvnqrZ6OT0Jvh80ajAZjPUq09jx494ubNm0Sj0Vnuvmtt7fErGhfT+4VMEn/2s58xMjKyKYPSFxkVlK6QZjOmjWiaxtTUFKlUikOHDrF79+5V3yzWU6g8z+POnTuMjo7yxhtvzJqRCjBcTtOXfoCpGZTdKi4uIUw0zaTgVNgT7iIUCDBhZTE1DV1o6EJgS6e2Tfr0OS0cPsvc4FTXsfo6Jq0sryd20GnG6+ubrM5weeYew5UpDkZ34kiX8WqG7mA7eyPdhPQgW7dvYzIjkU6ICALbcyh6FhXAcyvgSKQmiRhBpKy5Am4kGy0Sm0WolguMQ6EQ27dvZ/v27Ugp60FqK+amNa6jmcC2MUgtFovEYrFljnj2yBa578pNmj1VKDYC30l/JVpfqVT47LPP2Lp1K0eOHFl18qxVVVGLfWYYGRnh1q1bC85IdTyXn0/dYMayCQlBwbUw0YjqYUpOGQ1Bmxkj55SRUsNARwBlR2JLMBAgXEByp3ybQ+4hwnrNSyLnZNgbifJWYnvdELHqVbmWn2DMGqXNaEcTGjNOloAWZG94X739o1wRuKUAUUNDSI+MU8X2JBnpgJtF6DqmVvMEqLK0C/Kz4GUs323E/7tb6jo0tvZAzfyz0TSpFa09CwXHi+H7T2xWrYfW6P1m1XoVlK6AlWRMfSqVClNTU3iet+qMaSPr1WdSKpW4evUqACdPniQSicx6/GBhnP/XvT/ldn6UoGYQ0mtzQjWhERUaVc/Gli62ZxMWJjuCHUzZGeynzyGEhic9NAFtBHlQGmPSytId7Hha9qNTltVZ17PTjLM12IEhdEYqU0hga6Cd97b0EtFrGd3RcobH5Wmieoi4EcbFY7ySpuI5OEjK0kZ3NbJOkXKlSocwePxkhN1bd6xLichSbJaAcDOsYSUf1IQQC85N84PU4eFhPM+jvb29LlzxeHzZ17nSean+8671PbweeLJF5bub1JFPoXiWzHXSb0brPc9jdHSUUqnEG2+8wfbt29e0hvUq33Vdl9u3bzM+Ps7Xvva1eguFT94u8f95cImfT9/Hk5JBLYvlWoBX2wFF4uDieC5IybbgFm7kxslbHgKBJkRtVAw6YU2nQpmR6jAHI6/U1oOGfLou/4oGtSBdZhceHlkngy0donqEN+JvsjW4DQBPSi5nHyMR7AjXggVRKTBjV3CkRxmPgAe27VCsVrgvXA5ObSEWixGJRJ657m203m8WrW/mvdOIaZpLtvZUKhXi8Xh9J7WZ1p7Gz+zNUiwWl5yGsZG0Qu9XenxfXx/f+973uHLlStPHfPjhh3z/+99fUZuiCkqbZKUZU4CJiQmuX79OIBAgmUy25MNsK4XKD279dW7fvp3Dhw/Pe+OOlNL832/9Z55UsrXSJM/ClR4gkHoF4eoEhYnl2UxZGUwNbM9CQ+KKmlB58mmmSmgYCMquRc4p0R2sjRB5NbaTv5y+QdWzCWomHpJ75VE8XAJCp+CUMTQDSzrcyD8koBkkA3EelaYpODYCDc/TCBsGQS1A1XXxkOi6TtQMYAidLaKdx1aBPx26yuF7KaLRKMlk8pkY68DGl/P4a9gM2dO1ztn156bt2rVrwblpwCzRapyb5rNY+e5SFItFotGNKwFXKBTry1wn/WbmGxaLRfr7++tjJ9YakML6VEUVi0WuXr2KruucPHmScDg867FV1+Zf3P8vfJF5hIuDJx0sT2JLiSNdck93SaWEx+VJio7LvVwWy9FwpQQhMZ7uwRhCgGdSdj0KTr7+HNuC27lbukPBKRAzasHltD1FyS3QricoOgWEAKFFGKkMEdUjbA/uZKqaZ7xcoep6pKtVooZBWDPJY2PLWo9cyAyBKdhqRrHKBX5Zukn5cp6QGawnLJPJ5LKTDlrBRuv9i6D1sHhrTyaTabq1Z7VB6Z49e9a09heFixcv0tPTQ19fX9PH9PX18fHHH/P9739/Rc+lgtJlWG3GdGBggOHhYV577TUKhQK2bbdkPa22iR8YGODx48ccPXp0QSGVUvLjod8wWc2xNZQgZxfJOSVKroXmCQRabXfUMKl6FrrwAEnUiBHWC1TcChKJrmnE9CgREaDoFpFCEta/FIaj8X08qWYYLI7h4TFl5cjZJbqDbTyxMuTdMrGnu6E3849I23kORfZxcaSPkuPhSpe8bQMSU5dPrejB9gTteow9kW6SepxbmUHKXQHe3HUCu1AmnU5z9+5dqtUqbW1t9SB1NeWgy7HRmVPYXNnTVrHY3LRMJsP09DSpVGrW3LSOjg4ikciqg9LNWNKj3HcVirXR6KTv36ubuVeOjo5y8+ZNdu3aRVdXF7du3WrJelpdvvvkyRNu3LjBrl27ePXVVxe8B1/ODHBjZpiYEcYQIdL2DFWvivRASig7VUJ6iIrnIqWO67lEgyHiZpiiU8aSLiBoN006zQhTpSJZ2yKkfxn8dge2cjj6FQaKt8lXZih7FdL2NBEtQsErkHOyGMIkIAJ4lkvWyfKVSC//cXSAtFWl6rkUneLT6aggqfWXlmyNLYEAr7Z1sjfSwcjYCHYU9h55laQVqVfV3L59m2g0OstYZz0S0hut9y+i1kNzrT3t7e0kEon6ZtBcU8Nm2MwJ6Gftvnv69OkVnz+VStHT07Pi41RQugSryZjOLYONRqPcv3+/JeLir6EV55JScufOHQDeeeedRT9oT1sFBvJPcKTHdCVPVdrUGkQlFh7C0fjbO9/iWNteCl6JP5n8OUmznaJrYQidNjNGyS2jC51kIEbJqeIIj53BLrY93SUFCOkB/vqWYzyOTfC4MslvMnfYHe7C9VxmnDK7gp3MuCVyTpHDsd08Lk9yefoJZddmayBOxilSdmwcQLoQ1nV0TSOoBTFFiC2BRM0SnJqzr6NDd3d3vW+2XC6TyWRIp9P1clA/iEkmk0Sj0TXf4DdapDbLGtZDqBppnJu2d+/eeXPT7t+/j2EY9Xmk5XKZUCi07HXxd2Q3Z1CqyncVitUytzWnGa13HIfbt28zMTFR92DIZDIt0/pWVUUBTE1NMTQ0xFe/+tX6jtNCXMkMYHk2nnRxpIMna9fCwcUTgq8l9vDtrhOYwuTfDv+SoBakzQijCZ2IESbgWdjSo8OMousCT7hEtQg7gjvrzyGE4GjsdbYFtzNRHedW8TqmMOgwO3lQHqQzsAVH2uTdPFuD28k6Gf7T2GXu5cvsCicZraSpujaWV2sHCmkaAU0QEAGkZ7I7nHhakaVTlTYWdt1Y58CBA/WexXQ6zeDgYN3p3U9It7e3r1mf/N/bRveUvgxa30xrjx9c5nK5plp7YPMmoGFjyndXwsWLFzl9+jQffvjhio9VQekCNDN7dCHGxsa4efMmO3fu5NChQ/U3Y6t2N/1zrVWopqamqFQqdHR00Nvbu2SW8PP0Q8bKM1Rdh6KsAoKAZhDVAxS9ChEChLQgr0Z3c6uYwpUepjBoM3RCmknFswgKExuXvF2i6tl0ulF+K/k6n2fvM1SeIqiZHInv5kBkGweiO9CFzq38Q7YHkwwUhtCpXf+wFqDkVvGkR8G2GavMsCvUSTIQwy65VDwHQ0pA0BVow5MeJdfmbmGC6WqFDjNCRVTZaYRpN2eXLc29sRUKhfqNLZVKYRjGrMzq3LKnZnnRRWIzrqFxbtq+fftwXZdcLkcqlaJcLvOrX/2qqblppVIJKWXLhKrZHo1UKlUvn0mlUpw5c2ZFPRoKhWJxVuKk7+O71gYCAd599936/aLVWu8HyaulXC7z5MkTYGGviEZGy1PcLQ5jeTYlzwPhYQqdsB5EShvNhTYzwL7IFqqui+W5RPUghqbTYUQYt3IEtCC2W6bklnEciGHyjVgvj0s5bucHcKXHwdhWXm/bxZZANzE9Tqp8n7jRRskt1aqqhI6GTt7LUfUqBEWYW7lR4lonHcEIjufwuJxGp2bWEtHDtJtB8naFkXKRPx4ZZHs4TNCrkBAROozZbVNzexb9nbZ0Ol3faWtMSC/U+tEsG71T+rJp/WKtPSMjI/Uxh8CsqqnFNhxKpVLLdko3s9bncrlZ3weDwTWVt2ez2TWtWQWlc/AzptevX2fr1q10dXU1ZZjiGwe8/vrr81xrWy1Uqz2XlJLBwUEePHhAMBhkz549SwakWavElfQjHM+j6kgcCUJIHM/C8RyCQmevmWCsmiVjF+kMtBPUTEpehYBmsiPUwXBlmoJbwcAgYoQ4YO5gXybKvx/7JfdLTwCJBH6Ruc2prjf4VtcbmJqOLnQc6RLUTFyezn1DogkBEkZLJcaKVabLE5iaTswIERQVhKaBhL3hLu6VJsg45Vo5pz3NQzmNgeC4HiSgLf66hRDE43Hi8Th79uzB87z6XK2xsTEGBgYIhUL1zGqzluUb3WPir+FlD4x1Xa+bIbW1tdHT00M2myWbzS45N61YLAK0JChdSY/G+++/XxezVCrF9773PS5cuDDrMV6L3Hc36+wyhaLV+E76jx49olKpcODAgaaqJYaGhhgYGFjQtVbX9U1TFTU5Ocm1a9cIhUIkEoklA1IpJT+fvoHt2iA9yg4gNGzhYblVDE1nmwziYjNuTbM3tIOEGWHaKhDSDbqCcUpulRmnjIaOLqJsC8b4arWD/kKavslr2J4DCP5yeoCvte3m/7TnGxjC13oHQ9Q02fef0BBoaDwqzjBZcRiXU5hlg3YjSEgL4AkPF8nOUCdVz2G6OoMtJWXXYqScxxQebwV1ugKJJa/T3HLQRn+Chw8fomnarH7UZhLSaqe0xkZrvd/a09nZSTab5a233mqqtUcI0bKd0lZrPbRG7/3jd+/ePevnP/jBD/jhD3+46vP++Mc/5syZM6s+XgWlDTRmTIvFYn2Q7lLk83n6+/sxTXNB4wBobVC6WqGyLIv+/n7K5TJf//rXuXnz5rLHPChOcTP7hJmqS9XV8RDULofE0yWHY510yjCCmq37jsAW9oV38OvsTTzp4UpwpU1MNzne/hq97a/SY2zj/zv2X3lQLLEjlMR8GhymrTw/nb7OV+J72BrooDuQYKyaJmHGGK9mydpFXOmyM9TFF9kxhosVBAJXeggpGCsXsaRE1ywMzeDmzCRlWQHpT6OpOf3ZUvKTyQFOdb/G3mhzzmqNogRfztVKp9N1y/J4PF4Xrfb29gV7FTeDSGwG8wPXddfdVKrZdQSDQXRdp7Ozs+60t9DctD/6oz+iWCyiaRrFYnHJD3jN0GyPRiqVmvV9T08Ply5dmvc4Vb6rUDRPY7lupVKhWCwue2+2bZsbN26QzWbp7e1d0JlzM1RFeZ7H/fv3efToUd3TwrKsJY/J2AVuzjxkvGxRsGumRZ4nsJEYmsf+UICeiv8BvVYt9W7yFf7N8F8yZU0BkrIjEVLjaNsuvt19lKNte7h05Rf8PPeAjnCc+NO55GXX4ouZxxzJPuC3Ol9lV2gPtwo3SJgdRLQIeTdfq0jRY0xZFX41nUOi40iPAJLxaoGKa+PhoQnBo2IWy3PxPImmeQR1iS4EZVtwp5Dl8swtTna83tS1m+tP4Ld+pNNpxsfHuXv3LsFgsK71fsJyLpslAb3RWr/RQalPY0/pQq096XS63trzi1/8gi+++ILR0VEKhcKaP7e1WuuhteW7Q0NDtLW11X++ll3SS5cu8Z3vfGdN69r4T4abgIVmjy6X8ZRSMjw8zJ07d9i3bx8HDhxY9M230UKVyWS4evUqiUSCd955B9M0lxyoDfCknOe/PL5BKp/GlhJDaGii9rolGq4LbYSYkWUOhXtIGBEszyaoxYhoUSasKSxZM4cKalByi+yPbCPsBXmszxDRo/WAFKDDjDFcmeJecZQdoSTfSB7lZ9P9TFhZwnqQJ9U0EpiycjzIuySMKHvCIR6WprE8h6pn40nQNAFSMF4t1Zx7dUlEDxLUAgggZ5WZtgr8fPoue6PvrOZXMG+uVrVarWdWb9++jW3bddMkv9Hev6ltdFD6opofrIbFjI4Wmps2PT3Nj370IwC2bdvG66+/zje/+U3+2T/7Z/VkxXpw6dKl+pBxn2QySV9fH729vev2vArFi8pcJ33DMJbV52w2S39/P9FolHfffXfRcWK+PrciAbmazw3VapX+/n6q1WrdK+L+/ftLan3Ftbg08QXXZkZIWy6GphHCxcNDSoErNdqMCBVhsc2IsD1Yuy/GA1X2xQz6MxVm7Jr+BjRBwamyJdBBZyDGsMxjSbcekAKE9QCaEFyfGeK3Ol/l1ehhCm6e0coIQT3EjDODLS00NO4VwPVMjsa7uVecoOzaVF0bR3q1BLnUyFQr2E/HzcWEQbthIISG5ljkHY+/mu5vOihd6Hfgt37s378f13XrCWk/YenP0PQT0o0J140u313tjNxWsdKxa+u5joWuRePv139cKBQik8nwk5/8hH/8j/8x//yf/3O++c1v8k//6T/lzTffXLc1bpTW+0F6q/jxj39c//9UKsVHH33Ed7/73aZfw0sflC42e1TX9UX7OWzb5ubNm2QymUUzpo20ojek8VzNCpWUkocPH3L//n1eeeUV9u7dOys4WkyoKo7NJ3d+xc30FLb3dJiw0HCkQBcST3pI4LGd44jRzjc6DyOEYKQ8xYSVJWKEMBwTzTNwcKl6Dv25+8Sf/Iy/t+U9PCSelE/nln55w5LwdNQMdAcT/K2t7/C4MsHn2QFChg5SYLkeZXeGpBlkSzBOQDO4V5igjIWuGYSEhiXt2vkRWK6BKcDDRgCehKoDfzb0kIDbxhvJbbzSllyTeASDQbZt28a2bduQUlIu11x9M5kMjx8/Bmo9DKZp4nnehu6Yquzp7HU0I9qmafL++++za9cubty4weeff87PfvYzfvazn615x3Q5stnsgj9Pp9Ozvlc7pQrF0jQ66fv3QSHEkpoqpeTBgwcMDg5y8OBB9u3bt+S927+vtSIgWGlV1PT0NP39/XR2ds7yilguAf0/xvr4q8m7lOyaw64pBC46OrURL54LE9USHQR5q+OrxI0IBafAUGWIsBZBo0JMF1iehyM97uUn+eThz/jhkb+FpNagM1frBQLnqdaHtBBvt7/LZHiC+6W76Ahsz0UTGjetErqmETFMjsS38aA4TdmxMYWOKQwqrsSV7tPPDhquFFQ9ByHAxcP1BF9MZfj/6Zc52r6D1xPbMLXV/17mVtU0ztAcGBiou/j7PXUbuWOqtH72Opp5P+q6zttvv83Xv/51/uiP/ohLly6Ry+X4yU9+Up/AsV40q/WwsUZHc3tG+/r6SCQS9PT0cOrUqVmP/eCDD/jggw9W5ML7UgelS80eXUyoGjOmJ0+ebGqreyPKd/1So5mZGU6cODGv8XixNVmuy/9669f8dPghpqbheQIpPYQhEVptzEpIN/Gk5HB4G7/DdnaEO7Asi4JboeJWmbQyVD0bV3roT4Wo4tn8ZuY2r4R2owuP0eo0Za9CmxEhYcYpuBVCmklPZFt9LUE9gCl0Sl6ZA5EdhPUgludyM32n1sPqxkkEIkSNELYnqXoOEtgSiGNJh8lqESk9yq5LEIH0oOpKHEtj0rL4H0P3+PPRFN/eeYDf3/0qQX3tbwchBJFIhEgkUm+0byz/KRaLfPbZZ898ZpqP2in9kpVmcX2L+G3btvEHf/AH/MEf/ME6rm5p5gqYCkoVisXxPA/HceYln4FFE9DVapXr169TLBYX1NCFaGVQ2mxVlJSSVCpFKpXi0KFD7N69e9Y9fqnPDD+buM2F4c+pei62p+FKj6rrYWi1YDKgGUhNsi3YydFCktfaau61JbdMRVZ5XCyTsy0cWfN7EAgsz2UgN86fPLmKHshT8go8Klu0mzHa9HY8wJEur7V96cirCY24EWfGmaHd6CBh1qpP7oWGuTkzRd7JkTA7SJgR0tVybR/XE3SYYYSAiUoBF5eiI9E0ialJ8m7NfyJT1fj5xCM+m3zM0cRW/uG+N0kEWmNgM3eGpp+Qnp6eBuCXv/xlfTTJUqY664HS+i9ZqdZ7nkexWKS7u5u3336bb3/72+u4uqVZKFh91kHppUuX+PTTTwH46KOPOHHiRL0s2f/+7Nmzs9b8ySefAHDu3Dk++OADtVO6FItlTBuZK1SNu47NZEwbedblu7lcji+++KIeOC9UarRY9vTyxDC/mRjB0DS6wzEcq0rGLmA7kpCpoWkaId0gYUb5/eRrkC7Ujw1rAVzpUnTLONIjKAyEELhSIqXGdLXEf5j4OWEEHWaUjF0kaxcYr87Qbkb5RvIr7A1vmbWe0coUnvxypmlA0znU3smvJoYZLc2QDHg4rkfJsdCFIKQbaJpG0DPQhcCVT3/fHngeOI6OjsauWBuOCw/yaf7fd9Jczz7h93a9wludu1p6I2/sYQiFQgwPD9PT0/PMZ6b5qOzpl6x0TqkflD5LoU8kEvMypel0WrnvKhRN0Mzs0YUqmaanp7l27RodHR2cPHmyKSM7/1xAS/S+mQS0ZVlcv36dQqHAW2+9VS9DnHuehbR+tJzhT8evY3suXYEIAWHwuJTF8SSGJtCEJKgFCOsmv9fdizY5UT9PUAQICpOJagnL8wjpvt66uEJQdm3+01gfx0yHPWaEYbvKjJ0moOUJa1GOxHfwdseBWeuZtqcouQW2Br6cl34o3s69fJaRcgbbDVB2HCzPeRoAawSe7noGdI2y69ZmqdoCSxN4EkK6w7ZQkqipM1rO8sejUwxVxnlv2yF+u/MQQb2532uzhMNhdu7cyZYtW/j5z3/O1772NWZmZpienmZwcHCWi38ymVzQ5b1VbAYPi+dZ6wHi8fgyj2wdm1nrT506xalTpzh37ty8f1vIiCmRSHD27NlZgWqzvHRB6VIZ00YaA8nGG3+zGdPFzrVWlhKqRmfAnp4eenp6Fr0pLSZUVyZHCOsmIcPAlh6dRhuWtCm5Fo6EELX+z//jnjfYpsUYk/n6sbtCW9gd6uZafgApPdAEFdeh7MpaCQ8wUpkhKUJ8I3GIKbvASDkNSH5/6wneShziTmEUy3PYFU7SGYizUPj9lfYkV6bHeFzK86iUf+ohpqFrwFPzo7JrEdQMdKFTdm00BJZlgCUImiYjhTy2J3FtSd62+csHQwxMpPneUYe/tmP/in4nzeIHhM96ZtrcNSih+nIdqwlKnyWnTp3i/Pnz835+/PjxWd+rnVKFYjaNyWdYfPZoo39Eo0nQ4cOH2bVrZUlK/7Gt0PvlEtDZbJarV6/S1ta2ZOC82Hnu5scpOw7tZghLuiQCIfJOhKxVwnIhoOsYIsjXOw/yTvIgv+bLoDRuxNkZ2oUmHuE+7ee0pUvJcZBS4EnJk3KZfivI73Z3cqjD5GExS94tcrKjh7/R/XXGKzkydomuQIw9kSS1U8++1nsiUbYEg9zIFBktjgG1MTB+MOrJWoWUITQ6AgZFx0UXHgFNIl2NsBYgZznMWNM4UlK0Hb6YmmC4OMNQMcs/3v+NVfxmmicej9Pe3j7PxX90dJSBgQHC4fCshHSzyY9mUAno2etYidaXSiWgNU77zdKs1sPmn1O6Fl6aoLSZjGkjfvbUz5gmEokVZUwbaaVN/GIC4zgON2/eZHp6uuk+14XWVHBsOoJhpPAYL+cJGyZbjA7GnBkiusY3tu7jb+4+Sm9yN09Gx2YFOSE9wLe29PKr7DWeWGkqrkXFrfWKClnrI5EIJrUSt3JD/PaW1zgS38lQeRwk/IvB/86TahZXesSNMN/oPMyh2Bb6cyn6M08YKxexPY+pSoWcZbM1FKMrEEMiGK3MkHfK5OwKIc8gbgRpCwRwPJeYGeKVWCdXRmbIWRZ5RzDjlRFSoInaBwlD6DzJlvmX/Vd5M7mdxDplMOf+zTU7M80PUtcyMw02T0nPRhswwOp3SlvNUj0ac3sxUqkUx48fn5cYk7RmnMvGe0YqFGun0Unf7xtdDF/ry+Uy165dw7Zt3n777VXtkizXo7oSFjuPlJJHjx5x7969pqq2FktAVz0bQ9PYHk7ysDhBRcK2UBSJh+26fKV9B//zjuOc6NyPuYAlxuvxoxxte8BY+SFF28KTNc8GIZ9eB2DCsflJeoL/88EjHGlLMl59wlYzwv/28DPuFsapeDZhLcBrbdv5OztfI6SFuTbzhOFiLcAtOQ4PCkXajBBbQwkMrVZxNW0VqLo2WekRMQJsDUZxqBDQBF/piDJerHK3VCbnQFpWn17P2kg7TZjkbZf/NjLA6+17OJ7cs+rf0WIsNBKm0cW/p6cHx3Hq/aiNLv6NCem16KTS+i9ZqeN/sVjEMIyWt1a1QuuhNXq/WbX+pQhKm82YNqJpGtPT04yMjCzYp7ES1ntOaaFQ4IsvviAQCHDy5MmmSkIWE6pD7V38af4+r7RtIagbTFQKWI5HVIR4o6ObkGHQnxkibpjEkPNuvl2Bdv7+zm/zr0b+Ozm7AjjoCBxqWc2nnn7cLY2xrdDB/uhWHM/jTyauU3SqdIfaMYRO1i7yZxP9RLQTDOYqDOQnkRLyto3leQgE2WoZV8L2UIywLrGlRlAPYHkOunABg7LrcKStm32hLVx28lgeBPXaG9Lxag5+YdMkGQzhmB4TxSK/Hhvhr+8/MO/arJVm+oOWmpn24MGDVc1Mm7uGjc5cbpbs6UqD0kKh0LLM6Up6NC5cuMCHH37IiRMnuHz58oLlMgqFYmEn/eV0W9d1bNvms88+Y+vWrRw5cmRNH6TXMyh1HIfr16+TzWY5fvx4U87fi1VXbQ8l0BAkzTgiKnhSyWC5Njo6e6Pb2B7o5PbMMBFD8Fp0FzBbw4JakP9lz7cZLPwnnlRmyNsWuqjtZLrSwxMCGxitlPnj0cf8nd37cT2Hn0wMkyrk2RpsY6veRtG1uJx5REg3sbwIPxkfwvY8irZH0a1ltT3PxiXHnnA78YBLwZW0mwGKroshakZHRcdjeyTKscQu/mPmMbZXxtRBF2C5EteDgKHREQwSMQzGynl+Mn6fYx2r/2y3GM1ovWEYsxLSvot/Op2uu/i3t7fXtb7Rxb/ZNWy0zm4mrV/MMXshCoVCy1p1lNavjBc+KG3MmDYjUFDbrRobG8OyrFVnTBtZz6B0dHSUmzdvsnfvXg4ePNj0DWCxoPTktj3cSI/zMJ8lGQgTDBs8KE2DbtOXfYTMgqEJ/mzsDr/XsY9XvPlBUW/7q4xVp/jpdD9lN4v39Hkiuvk0GJRI4FZ++Kmbr0HeqbAznKwbIyUDMUbLGf5s4jqZqktPdAuDhTSa8NAFgEDXBTm7TMmt0BkIENQC/PaWHZS9KvcLU2wNtrM1mMCSFlemxnCkS1ADXehY0qG2CkFAapiaTsV1CWg6o/nCvNfUClZaOtuqmWmNz6/Kd79kNUZHrQpKV9Kj0dPTU3/cYjPPVPmu4mVnMSf9pfA8j0ePHmHbNq+//jo7duxY8zpapfdzNTqXy3H16lXC4fCSY2mWO4/P4bbtHGnbwfWZYWJGkB2hLh4Ws9g2DFSnuDMziS4El54M8N72PWwTct55toXa+Ed73+XfPf4Nd9xxXK+WeA7pJkFd4jguNvCwmOdadphkIMRouUhXMEbEqK0/ZgRxpMtv0g+RnmBLIEnWLpK3ShhoeAKEqJkw3itMsi2sE9QCvNmZJGEGuTkzgY7Gu92voOtFbuVGyVplIjpIoVP1JF5tyjpIQUQ3cKVH2DCYqhaxPLclJoeNLLRTuhxzXfxLpVI9Ie27+M9NSC91/s2yU7pZZpKvNAHdqqqoVms9qPLd55LVZEwBJiYmuH79OpFIhHg83pJG5/XoKXVdl9u3bzM+Ps7Xvva1erZtJedZSKg0BF/fspsb6XGmrRJR06QiyuTtCgKBLgRInelKhZ9lHhIU80VcFzp/s/sb7A1t5w8f/wkT1TwR3SSoB6i6VarYhNAouVVMLcgWcwsD+Sk0BCWnQtmrICVIXMYqWXTiBEUQz4M2I8SMXcGWLo70MIRO2bWouCbg4YgyO6Mx9kT3ogud/3nbu4xWsvyrwjWyIYh4NoH2dm5lJil7DoYQ6GiUnJpbcNwMEVtBRm2lrEUk1jozzf99b3RAuBmCUr+cf6V9Js+6p7RZVFCqeJnxPA/Lslak9cVikf7+/voxrQhIofU7pVJKRkZGuH37Nvv37+fAgQMr0pHFWn5sz+Vo+06klIxWsjX/BQsy1QoSD0PTMYCc9PjZ+BBvG4GFE9mdB9gf7eL/cedPuJMbx9QM2swQjudQlSUMDTzpMlWVvB4/iCuvE9ZMLK9KxSs/HemiM2OXAZ1XolsYLRcI60F04VJyLWzpEtaC5NwqZdfAlQ6IIt1Rjf1tOyk4RX6n4w2k0PnT0TvcMh6w2wMRCvOwOsN0tYQpNAxNo+o5WNIhogVpN8MY66RFa9F6IQTRaJRoNDrPxX9ycpJ79+4RCARmJaTnlpqqBPTsdaxG6zf6+i2GCkqfM1abMR0YGGB4eJjXXnsNx3GYmJhoyXoaxaUVA7UrlQq//vWvEUJw8uTJFZdwNq7Jx5OSSw9T/GL4MXnLQgDJUJhqqMSMXUYAUaO201n1XGxHMmlVGTKyC55fCMEb7Qf561uO8W9HfoYlHfAEDpKgNNgd7qYibY61vYoQJkIIJqppil4FqP0Oc06FEBE8/LJf0IVGWDexHRfH89A1DcfzmLaKdEU0sk6WmWIWUxjsDW/F1HRejW3jRDLLo2yBMB67Yu2EdZPfjI5QsRxyjgVCkIiESMZCHF1hgN8srRaJZmamNZb/+DM1N/pGuxmEyt81Xmn2tKurax1XpVAoVoKffPa9IpoNSP0Ko127drF7925+8YtftGxNrZpL7p/n+vXrTE1N8eabb67q/rNQAnogP8qfPblO2irgIYnqQdq0KGOlPOARNQNoCGzPo+w4zFiCEa1Azi7QZs6vFtkeaud7+7/BD279MVm7RMW1caVEx2B7IIanCQ5EDvJa2wEi+gATVgZEBU+6CAQztoWHjkEUV4L7VCvDuknFtXBlbR6pJyXT1RLJkEQ3bIbKM5giQEyPIIRgW7CL4x2v8NmTKQyrTGcgyrZYgr+aSJG1qliOZMgr0xkOEQ+aHOvYVa/OaiWt1vpGF/99+/bhui4zMzOk02mGhoa4detW3cU/mUySSCRU+W4Dm8U/QrE8L1xQupqMaalU4urVqwCcPHmSaDTKyMhIS0tuoTU3qlKpxMTEBHv27OHQoUOrfsPPFarrk+NcepgiKHS6QxGChsFkpcSViSEkEvPptRRASDfI21Us18PSvxTfimvxxMpiew4JM8aWQBu/v/XrDBRG6c89ICAMkmYcyha60Ogy2zkQ3UlYD7A12Mb13GPiRhBTMyh5FlE9xJZAlJFCzeo9oOlUPYeAphPUDEwMio6Nh0ck4NIVMql4FgkjxqQ1w65QF0GtZkx1onsnfzH6kIczOZKOTa5SMz8w0Ak6BiXHpVwuEtB0vph4Qmc4THektTel9R6kvdjMNH/8jP/3PDo6Smdn54ZlAjeDUPkfGlcqVPv3r48z81pRO6WKl43VJJ8dx+H27dtMTEzwxhtv0N3dTbVarVdOtOK+1Kqd0kqlQqVSoVwuN+0VsRBze0ozVpE/Gesna5VpM2OENANL2vx8cpCq5xDUNTRqM0cDmo7luZQdB2nWAkMAV7pMVqcoe2VCWogtgS6Otu/k9M43+dHQFTRNkNCDBKRHmxahbEhea9tBMhDlrY7d/MexzwlogqgRpOTW/B9eiZuMl2DKKhDTA6TtMhE9QEA30NGpSBtPukQDFXraJS4mpohTcAsIATG9pteH2rp4JZ7k1zMpAo6FxMX1/BEyGpYjGc6XqDouj8oT3M138Gp865p/X42st9brul538YfaXHo/IX3v3j0qlUot0T8xQSAQaLmLf7NsBq2HjfWPWA/UTulzwGozpmNjY9y8eZOdO3fOCvIWG6i9Ghpnl632Dep5Hnfv3mVycpJEIsGRI0fWtKa5Qenl0REeTWRxHQ/HlQRNnd0dbVSf9t15T7OXtfJdiYckqGtsFbU37kh5il9nB0jbBSQQ1AwORnfyVuJV/sGubyKH/5yxagZdaGRElShxvr3lTdrN2u7db3UeJGNnyTv207lpMfZFushYRRIBh5xTQheCnF1FE4J2I0zZsRDCJWq6BA1J2bOwHYeiW2F7MPm0tLdKWA+yIxrnf3nldf7XqTTj5SKP8zMkA2H2BNoZknmquoOQAseS/GZshOlyiX/81a8RNVtXyvusy2n8mWk7d9ZKtDKZDFevXiWdTvPgwYNnOjOtkc0gVI0fZJtFle8qFJsDX+tXknzO5/NcvXqVQCDAu+++W7/ftUKfG2mF2/7Y2Bi3bt1C0zROnDixpnXNLd+9l3/Cjew4ZVtS8dIYQrAtXBu/piFwJGieg6mZtWD96bFbCBLTI5TcEleyXzBhT+HhoaHRHdjCm21v8Ld3vsG0VaR/ZgQkFGURz6vwO8lDfLVtJwDf2LKT++VbDJc8qq5LVDc4lOgkoEkst8x0peb3YHsuGbdIzAwS1CQZyyZmOrSbDrZ0nrrzlukMJInqUXJugagRxdR0/tHBY2THJ5lyHYZKWTQ0vpbYTtoqMONU0dFA6tzLTTPjXOW7u46zN7r0xIKV8Ky13jRNuru76e7uBmoJjStXrmDbNjdu3MB13Za6+DfLZtB6WLl/xGbWelBB6aZHSkk2m2V8fJy9e/c2JVKNPZmvv/56/c3s02pzIlj97LJKpcLVq1dxXZc9e/ZQrVbXvKbG7KmUkl8MPmYsnSceDBAOmjiux93xaYy4TjgSwBEOJceqB7MacCTWye5KnNuDd/kPj/+KfMAmGAihB3VCZogr9j06zChfie/hn+z9Pa7OpBguTzE+PcLf3PG7HErsrq8nboR4vX0bnYEObM/lXj7N5fQYeadCUJhIdHSt9jhHehTsKhXXRtMElm2QcQTFqkdPIkBUN+gOdBDQzbqgAhxJdPF3Y1vx9uzl32Vv8WpHkjvpKQq2hSYEEo+pcomDegcPczPcmp7ixLbW9Bk1XveNwO9RAfja176GlPKZzkzz8cvYN1qoVmJ85qNKehSKjcXfHb1z5w779+/HNM1l38ON87v37dvHwYMHZx3j76CsdGzEYqzls4Pnedy5c4fR0VFeeeUVBgcH13yvnJuA/nz6MYO5GSJGgIhuoiF4UMggkIQNA4FG0a1Q9WqfMzwpOdAWY1e+nZnMDP9j8M+YCEwSCUYQQUEoEGbGyWEKg68nTvC9/e9yJTvE7dwYE/Y4b3bu49SeN+q9m6am80ZHG7/T1UXF85goV/iL8XGmrQoSMEUYy5XEtCC2lLiOS1paSE9gewFG8wGmyi6HkzZbwhqdZidhPVSbjf6UrlCUvxXbhb6tk385couoHsDG5mG5jBAST7rkbJuyGyXnVPkiO9TSoNS/7htFKBTCMAz27t1LMpmsu/j7Cem1uvg3y0qDwfViI42OFCvjuQ9K/YxpqVTi8ePHTZXX5fN5+vv7MU1z0Z7M9dopXSlTU1P09/fXreofP35MuVxuyZr81/eTuw94OJ6lUnXAgWLZJhYOoBsaFA12d8YoSYuyW6XoVpESXkts5R/tOMbonRTXh+9idRjYtk3eyeGVXRzpgq7hlix27k2QiMV5N/kVPkvf5Sr3+Xejv+RQ4TG/1XmYXeFOuoNJ9IKOxCNjVbmafYKuCdqNAEiTofIMADuDHbgePCxmEULQEQhgSwdHelQcjXRZ0pUIUHDLHAnuRgIzdomYUcuK60Kwty1BmxFkplplpJjHA0K6TrXiYLkud0Ym2NbRRrqy9uvcyEYbD/hufP7Xs5yZ1rgG2BxmSyt9PcVisSXGZ+uBlALZgsznSs6RSqW4ePEiPT09pFIpzpw5s+BMNZ9Lly6RSqXq89hOnToF1Ga1AfT29pJKpchms/T29q7+RSheSBqd9B8+fMju3buXdaD1d4r8v6mF5nf79+RW6v1qtH5uG5Hruty/f3/N62kMSsdKM1x6MkjJsfGkpOhYRHSTNjNE2iqyK5LAciVxL0DRrmJJh73RGP/XV/8ak7+5x5WbV3B2ugipkbWzeAWJ7Tqgw9RMga3uNvYmd/FOcj9BYfLvR0b54+n73Pby/PaWA/R27CRhJonqMcoyjyni/HR8nJxt0x4Q6DLMw2KRiuuwLRxhmxnmbj6N4wm6w7W54rbnULJ1UlmNXVGDildmS6CLqB4j5xQIayFMzUAIwY5QjI5AhKJTZaiSxvIconoAR0ps1yWVz3BQSzBSzq75Ojey0VoPs/V+rot/Lpcjk8nw5MmTuou/r/XLufivdA0brfX+OlbaqrOZy3dbofet+LywHjy3Qenc2aPNlMxIKRkeHubOnTvs27ePAwcOLPqGabVj7mKzwpZa6/3793n48CFf+cpX2LlzZ31drehX8IUqUyrz32/cBQmxoIkjJRJJJl8mENLpjEb4JwdP8Hl2iEfFWvltb+dOfjexh/vXbiKl5MBrr/LZ8E+JhsN0G0lsz2W4NM1oNcNkcZAn1/53viq2MxGyuccUlqigeRa/SA9wpzDKP9n7TXaGOnk1uoe7xcf0Z8coe1USeoiIHiZVyNZes5BknQJIHVdKTE3gSklAM/E8C114TJcdctEyu8Nbyds2F0d+jYtHVyDOa5HaNdybaGdvoo1fjYzgSYmOoJy3sWwXUwqyhQqVtENme+uD0o1kKaFc75lpPpslKF1p5hQ2906ph1jzMG3/PM3y/vvvc+XKFaAWoH7ve99bdK7apUuXuHDhAufPnyeVSvHee+8xODgIwPnz5/nkk0+AWqD6Ms5mUyyO3+/ZWK7bjJlQNpulv7+faDS65AgVIURLSm59VvPZwXf93759O4cPH0bTNIrFYstGy/gVKv9puJ+CXa1VHOGgPW2JqbgWYSPI3979VWYsixvZMVzpcSDexbe3vkLp4RgAh147TKo0jHRge3g7AHezFQayBYpOiRtP/ow3SNIRj/OX9jglq0K7FuH6zBgD+Qn+3p5efqf7AIeiX+FW4RpXMo+Zskp0BHTCWojxsoXt2Rga5OwyYcPB9VxAYHsQMw08XIKGS8EWDBdLfLWjnYAW5i/Sv6bq2UT0EK9E9uIhMTWdt7bs5EcPrlN0bAyhU7I9ipaLEIJc2aW/miahtbU0kNxorffXsJDOappGIpEgkUiwf/9+HMchm82SyWRmufj7QWoikVh1QnqzBKUvmtFRK/S+FZ8X1oPnMihtFCiovckMw1hSpGzb5ubNm2QymUUzpo20ykFvNeerVqtcu3aNcrk8b05qq2eg3RufplS1SYRDaEJQdmwqjoOnCQx0Xuvewte37uG3duxnxq5gajr5qTQ3+vrZsmUL6XQawzBwpIspdKSUPCxNkrYLaJpGUJhUozq/tMco2RZtboCIDKHlLZLBIBNuhr+YvMk/3PPbHGs/zPZgFzezPyOmO2wLdpB3qlieS0AzcHAxhE6teFgipcB7GkQHhYktLCRwJLqPNq2dh6U0XYEYIRFgpJJhqpyjQ1QwNI33v/oVbkxPMl0pUy3beLYkqGnEzAAly0I6MJCapHDYIhZqTdZwo7OnK5lb1uqZaY1rgM0RlK5kDf412MzZ02dJKpWa9X1PTw+XLl1a9PEffPBBPYDt6empDxMHOHbsGJlMBmDJnVbFy8diZkZL6b2UkgcPHjA4OMjBgwfZt2/fsvemVur9SjTa8zzu3bvH48ePOXr0KNu3b6//20oT2UutR0rJWCXHcDlLIhDG9jwkXm0sm64Bgu2hBF/r2EVPvIuCXcWVHlrV4erVq4RCoVp1TTSBU3TqifaBbIVrmQoSjaABejhMn13GKmcJeJD0DLSKQzwYIiss/nj0Jm917mFXaA8xPcZwoY+geEhXIIGOzn1nGF2rGS1JwCQA1Mp6PanhSZeAMJHCpixhi9nN7uA+xqppYnqEmB6h6JW5nLtOVDM4KA7w3o4D9KWH+OVkjooNFdvB0DXag7UA1/YkI4Uyd2amOJJonfP+ZtkpXQ7DMOjq6qo7O/su/ul0ekEX/3g83rR2boagdDUmZqVSacVjFhWt4bkKShfKmPpvuqXKbWdmZrh69SrRaJSTJ0/Om+e0EK3MnELzQpVOp+nv76ejo4M333xzXo9Lq4TKP0/VcYgYBlHT5HEuhwAMoRHQdHQEv71/H8Gna2gzgty7d4+hoSG++tWvEggEyGQydAUTJMwYeadMWuaZtHIAGJpGyAiwI9TJgDNCSXP4SnIvT8bGCIfDOI6DrDr8qnSTo+k2ujo7SSaTvN3xCv+h0kfJtRivpp9awXtoQhDQTMJagHFRwkMSNgKApOJZSKlztH0rv9v1Oj+ZusWecCeGVsuORY0gqfwTyqIAwJ5EO9958yv8+4FbjD7IU8bGEALX9TB1jVe6kuRKVe4/meZr+7YvdAlXfd03itX2crZiZppPY0nRRrLandLNGpQ+a6OjS5cu1Z0ffZLJJH19ffNKb1OpFOl0mkQiQV9fHz09PfUSXh8VjCrm0liuO7f/e7Egslqtcv36dYrFIidOnGj672ojdkorlQr9/f3Yts0777wz797SKtd+PwFddR1cKdkainFrZhwPF11oGBg40uNwWzf7YrVkfcwM8uTJE27cuMHu3bt59dVXuXTpEqZmsiXQyXBlhKnqDLezNo50iRgQ0Ey6QzGmqTJmz9DbsRM7V0I3dIQQmBWXh8Un/Nnnn/HVLbtJJpMcaz/CX01MUnZtyu4UHja2K2ozuY0gYSNAUBMUHElAGJhCYEkLy9XYEorxd3d8i1ulO7QbceJGbWcrpAeZtrM80SawpUOXGeAfvvIGFS3Pg0yJkWKRUEAghQQJOyNtBITB9cx4y4LSjU5A+2tYjd43uvhLKSmXy/WE9NDQEFLKWQnpSCSy6GvdDEHpapz2C4XCpnXaB2V0tClYzv5d1/V5GREpJQ8fPuT+/ftNZ0x9fNFr1c1lOaFqzO6++uqr7NmzZ8HnbVX5rn+erW0xipZFJlcGV+IKcHCwHY+vdHTxW/v3ALXsWX9/P5VKhbfffptYLEY2Wyur3Rps5/W2fdzIPSJVGseWLkHNxJUSx3OpuFUieoiMVcbxamUzfiN+pSpoE0GS0Q6mp6cZHBykYpSwtTJ3K1k8HDzAlaBLgeM6SGES1HSk1LAcMDQdXYY4GG3n/3Lwd6nKElJSD0h9onqQUaa4lRvHlh4d4QBd8TBPZJ4t4TDC0JgpVzAsnZlMuVbqY9lrvtY+G13S06q/5dXMTPOTK5tBpODFC0pb3VOay+Vm/TwYDM5KNGSz2QWPT6fT837W19dHMpnk4sWLnDp1ik8++YSenh5Onz5dP9fFixcBuHz5Mh988MG8oFXx8uA76TuOs6i77kJJ6Onpaa5du0ZHRwcnT55ckVFbq40NlzvX1NQU165do6uri2PHji1osNToRbGWfn4/KO0OxQhqOgPlacDF9cDFw5IWHYEwf2f3G2hPk9WNyWd/xBiAjs5XoocpOAUel7IUHYegDhKBJz3Kbpk2M4InJQXHIiQEpmESiUbQIkGoVtjVvZ1yscz169cpexXCRp5UuYSmObiexJI6mueiY2G5NkHDwJYejqdhuRq2FyZhhvj7e4/REYxSzlfYFpwdTEb1MMNYPKyOkclX0ITOgXiCh7k87cEg7QGTnFOl4gjKtsSyi2Ra6CGx0Vrvr2Gtei+EIBKJEIlE6i7+hUKBdDpd/7zmu/j7CelGF/+1/u22Av+9uJJ1bHb3XdVTusEslTH1aXTQ0zQNy7K4fv06hUJhRRnTued7FkGpbdtcu3aNfD7PW2+9RXt7+6rOsxJ8oaqUHUamc6SLJUxdQ9c0dENnezzG1mSciVKJuJR88cUXtLe3884779QF1D+Hoem83XGIO/lhJGAIHUPohHSToGYybRcwhSCom0xauaeFOVB2LaquzdvbXmdv91727t2L4zh8OnqZA9Pj3CxVmHbAk7U3UNXTGHVLJEyPnng773Uf5VExR9oq8Wqsi9/depCeWCcD+VEQPN1d/TIAGq8WeeRY/NfR2+TsKiOFAo4jcYIe4+kiniehKBEeFKjN+fq3f9nPkR1b6Iit3Z1uo7OnKynfXQnNzExra2ur76BudAYZVi6Wnue9VOW7u3fvnvX9D37wA374wx8ue9xCwWo6nSaVSnHq1CkSiQRnzpyho6Oj/sGt0SCpp6dnVr+p4uWi2dmjjUGp53ncv3+fR48ecfjwYXbt2rXie0yrjQ0X02gpJYODgzx48IAjR46wc+fORdfaqqDUX0/erjJayjJeKWAIHU0INCHoCsbZGY6QdfJYVtu85LOPr/evxg5yr5TikRwnoAXREIR1g5AWouiWiGgGUT3AjFXBkDoBasnpyUqB19q307v3lfq57qRvcmzqMW7G5U5RUPVqs9A9D56UXUpunq2hIN/Ze5iqHSRVSNMdjPHb3fs50bmLGadAUAtQ8apE9C81OmcXmaDIb4p30e0Aw5UMFddDNzxyBYecXabsSDxPkJY2EvhPwxZvb93FG8m1V0ZttNbD+ui9EIJ4PE48Hmfv3r14nldPSI+MjHDnzp26i38ymdwU7ruuW9sIWck6NnMC+kVnUwelzWRMfRqD0lwux7Vr10gkEivOmC50vvWcXeaXFsdiMU6ePLms61krg9JMqcovH9whoOlsa4tSrjpYjgu2RzwaZDCf5v/5y58QqpY4ufcVjh35yqyMri8stueQKk6SdUpE9TAVr+aGG9NDaGhMVnMYms7X2vaSsysMiwyVyjQBI8DX2vfyW52HASg4VR6XppgQRbZ3dHLbKhF2HTTNxZUelnCxPQ1dVvm7ba/zW8lDRHdH5/1N7I500h1oY6icZluoHV3oTFRyDBULaFJnSyDKUL6AAKSQhBIa+SceoghIECZoQkMA94am+dd/cZV/+j+9s+ZrvtFC9axGsSw0My2dTpPJZBgeHsZxan1Kz3pmWiMrfV8Xi0WATStUrS7fHRoaoq2trf7zueXYiURi3q6oX6I7l56enrqxhn8sUC/1TaVS9ZJf38m30aVX8XKwktmjfhBZLpe5du0atm3P819YCa3eKV0owPWrjcrlMl//+tdnvb8Wwn/9a911E0Lgeh7/beQ6JbdKdyiK40pKjoMrHcK6hkWFCw9/xp/kHfaFt3Hq2LvEIrF555FSMmVNk7GyhAyNLWEYLQrazRBBEWS8UmDMTdMT7SJuBkhlxtGrFkFZZU+0g7+3502EEE/NEGd44EyTaI8SrZYJlz06TBeEjeW5FG0T6bm8F9/K77Ufoau9a949O2HG2Rnaxv3SQwBCWoiSWyJVGsP1oMtoZ8jJYXkSgUc8JBFIcqVaolvXQdc1NAHpaol/ceszzr/ztwmscXdvo7XeX8N6633jaBmoJaR906TBwUFc1+XmzZt0dXW11MV/JazmM/xmdtoHVb67ITSbMfXx+9RSqRQjIyMcOnSI3bt3r/rGsNbZogudr/FcjbPTDhw4wP79+5ta69yZY6tFCMFItkiuZBELB5iaKuJVPWzHwfZcrltjVBOSVFGyrTPGePoR6ZTG6Z6jxAPBWWu5mn1If+4hpjDYHozQYcZ4UB5nopqj7Nk40iOqhRku5dgT6aTbFfR09nAwsYNXY7Ws5P94cp2fTd0l51TIObWd1bztEA8EMTSBLR0s10Z6tR4YM6fx+ejnmKZZ36XzrcwjepDf7aqNn5mwZnA9D9sTxPQIcXSmqxWKtkVXMMK9iSy5YQujDJ4NQgAS9LAgFgxQrTh8fm+EUtUiEly74dGLuFO6HKFQiB07drBjxw6mp6cZGBigs7Nz3sw0/3e4XjPTGlmNGx9s3qC01eW7fnn2Ypw6dYrz58/P+/nx48fn/Wyp4LKvr49vfetbdaMjn7n9qooXl7lO+s3MD9Z1nWw2y8DAQH1c2lo+7LZ6p3TuuTKZDFevXiWRSPDOO+80lShv1WcQIQTTssLjosWWYIz0TIWKLSg5HrYHtysZQgGLWMBmRzjCVMimPPFL/sbWt9gR7pp1nifVCa5bt3BxaDPaOLElxK9ljnSlwmOrTMV1Ceom05UqIRHkneAOOmIxXtm+m68ldhAxAnyRGeE/Dl/nSTlP0S0Q1CtMVT1Chk5bIIArTQyvSsw0yFc1nHKCgRsD3PZu13Wi0VzvzbavAJLhyjhZO4chdIJamG5pUvEcMk6JDjPCVKXIw+kiVjmAtGqvyXNBD3i0R4JY0uVxcYbL08O82713Tdfcv14bhZRyQwJj0zTrLv5SSn7605+yfft2CoUCt27dwnEc2tvb61q/Whf/lbDaVp1IJLJOK1o7qnz3GbOSjKlPpVIBYHJyck0ZUx//eVslVI0GRY7jcOPGDTKZDMeOHVvRB7BW7pRWHRckWDmHYtHC1Tws3cMBZFVizggCGJgdJlXX5deTw7yS6OQb2/bVz1OVDveKT+gMxJHSY8xKkzTj6Ghcyw3jSIiIEB1GFF1AqjjBbhHkr3UcqX/A/+nkHf7Lk35CmsmWYBwpHR6VM5Qdj5jhITBAQlgPInSDoBbk4JFD7A4l6qUjvpW5P1szmUzyP219kym7gCtdpqsV/lv5Fh5VLLfmHlh1PQojFqQ9PAkIQAMNgVf1IFgLUi3bpVi11xyUbnT29FntlC63BsMw2L1797yZaWNjYwwMDKzbzLRGVhOUBgKBdVnL88jcQDOVSnH8+PFZu6CJRKJuanT8+HGy2SyJRKK+C9rb20s2m+XcuXP181y6dInTp08r46OXhLlO+s2YoHmeR7FYZHp6mqNHj7Jjx441r6PV7ru2XfMi8H0t7t27x6uvvsrevXub1oDVjJJb7Dy29LClpGhJsmUXiUvV8bAdcKWOZQUhFKISNJGe4G5+hO7AANtCyXoLjBCCoeoInvDYEdzOo8pjwobO725L8mcjk8xUBR1ByZagQVj3GKvkKNka/7fth3mlax8AqcI0/zL1G0pOLUAOufCgWCJjSToCLqAjEAS0AAYmrmmyZ2cP39h2sN7L6Jvr+TqRTCY5njjKkdhBql4VV0p+Ov0FaaawpYvreRiGxmjOJpM1cR0BUiI0iY6GZ4PrSTQNHE9SsK01XW/YHFoPG+ty769h27ZtBAKBWS7+6XSahw8f1uelNyakW33dVqr1UspNv1P6IrOpgtLVZEzhyxlfmqbx2muvteyPqZUlPX75bj6f5+rVqwSDwaadgNdjTZqm0R4yKU5UqFYcIkGTKaeM58mnHZ8CUwioSNKjZdpeaadoW9zJTNaDUiEEVelQcSw6jAiBUCdFr0LGyTNWnaHsOrQZIbqCbRhCo+RVMYXBY5Ejb5eJEcPxXP5y6h6G0NkSrP3etoeT2NLlrp1lxqoSNu2aI7Aw8aTGzlCC7aH2eb2MlmWRTqdJp9PcvHkTx3HqN7zOWJioEeAJLl2GiURSyFo4Yx7C/yxS0ypcJMKBbK6MjkbXlihJ1VPasjU0CuWznJk2dx0rdeNbymVwo5EtKt9dSfb0woULfPjhh5w4cYLLly/Pmi/60UcfceLECc6ePTvrsceOHePKlSv1kTCJRILjx4/z8ccfk0gkGBwcVHNKXwIanfT9+2Iz761isVh3rN21a1dLAlJovfuun1i/ceMGMzMzvPXWW6tKtLQqKI1Lg6AmGC0WiJtB0lYR2xVIPISQ6ELD8zSGsy7bwhqeJhkqTzFjF+kIxOvnKbgFQmZtfngykCRtZyjYZaYrNhHTZGsoTlgLUZVVIobJZMVlsJzhFWpOpr+YfEjOqrA/mqwZHuptCOHyRXqCnO0S1EvomsAUAaQM0GZE2BfrmNfL6Lou2Wy2Xm1TLBZpa2urGet1JEgYcR4zzA6tozbGzrIYHge7qteqoTyQnsDVa593MmULMwAdgQCH2rsWv5hNstFGR41Jno1eg6/3c138/c/DmUyG8fFx7t69SyAQqGt9MplsSRJ4NT3Zm90/ohV6r3ZKl2G1GdOBgQGGh4d57bXXuH//fkvX1OrsaTqd5tatW+zbt4+DBw+u6obRyvLdZNjEthymZ2rNlJ4hQYCm176EFGhBDafiUSk5VDSXJ4UiFcchZBg1m3epETYCFJ0KCTPGkdhunlQzjJSyGEKnKxAnpNdKlYJIyq6Fg8O4NUO37KToWuScMjHjy+DcEDr7IltJWxauV3PdjegBoNa78vvbjxLUZ//pVl0HS3hs3bq1PluzWCzWXeKyg1nCFCjiYpZy6MDQwxx4IHSQgHRBPNV/6YG0QegeRlAjXSizpW1tbmwbvVO50UExLN/fsZ4z0+auYyHHy8XY7MO0JbWESivO0yw9PT31XU7fSddnbmCZSCQWLPcF6O3tnTdGRvHiMrc1p9mAdHR0lJs3b7Jr166W96a1Wuur1SqfffZZfQzdaj9ct8JtX9M0QugE0ZmoFAGXsiWRXk3ndVGbCxrUoeTAdMnF1CWmWyZTLc8KSmN6jGmZIS5i7A7tot1o51p1AIFOuxElqtdKHkMiRNktY0mPaSeH5VkEtABjlRxB3aj/vgWChNnBlmCZimdjuxJTmEhpAjrf6O7hQGz2THnH8yi6Du0dHfV589VqtZ6QHhkZwSKHMCQThUmCIY2b03mqloam1XZEXSGRrkC6AnSJ60rwJKYGeae6pusNG6+1/t/MZgpK56JpGu3t7bS3t9dd/P2EdKOLf2NCeiWa7bPantIXXe///+z9d5xk2V3fjb/PuaFy6Nw9OafNSbs7q4gkUACBsMgGPRiDDTYm/Qx+2X4csAUGbIOxMRbG6AdCIISEJBASklbaldCuNs5OztMTOkznynXrhnPO88etqu6ePLO9mkaez752pqf61qlb9557PuebPt/brw99Zdx2o/RavUevhWazyf79+wHYu3cvmUyGc+fOrRixwMp5T5VS1Ot1SqUS999//7KmvMYYxr15AqXYkOnHkdcm2pWM3u4bnac020AFCqUNpAEjECJWvzNKE3kanYSz5QrCkuxT0/xH76v8wJ672ZzO4mKxIzvC83OnMEDWTmJhkbJdCtoQLZn6kVYshHVSQvJK/Qyzosae3AaydpJS0CBnL0qJ+zpkJJHjrYN3ca6xwHSrxtpUgTcObOO+wtrucfXI528mT/D8/AUCHbEuXeQdIzu5pzhCNpslm82yYcMGlFLsmJ0hceRlZjxFpuKT8ATKgTAEIYG2cSo0IMByBcWeFJXQ56XRSd55//ZXfc1vN0nc7vTdmz2HleyZthS3kr57OwSZ7uAOvplwI0r6lyKKIo4dO8bMzAz33Xcfg4ODnDhxYlVyvTGmW1Kyfft2tmzZsuw7zvs15oM6a1I9ZJfw3dWwUpHSM9Q5WQ0IlCJShkgRi/oJSdRWt28IUFpwZi4EDFNOk/9We5F3bNjOOzbEirnrnGGqqsZ8uEDeyeEKl4QNA8kkzVB2jTFtNAtBEy2hZo/xfOXrbEptZiiR43B5epnRZgyk7STfPngXkTEcr86SdxLsHdjEmwcXr582hqcmz/HlybOUfI+im+TNazbxLWs2k0gkGBkZYWRkpNu2xD7wDHNhg5lmmbBsk5TQjDQIgyUgEga0AC2wLEF/yiXpSJ68eJqduX5c69Vtj1eDUXo7+X6p0+lGYFkWfX19XUdDR8V/YWHhMhX/3t5e8vn8DX2/m+X6joDaao6UfjPjthqlNytm1MHFixc5cuQIa9euZefOnd2JuZLezpUar9FosH//fpRSbNy4sWuQGmP42Piz/P/PfZVGFNcw5J0UP7nl7bx7zQMAnG9O8eTMC1zwpklZCVJWAiKNIyPeckm7k5vFTMXj8IUy1YUWMu7jghKgMZhIxAaagCgyBJYhhWRLvsi2fC8TjRofOrSfn7v/YYwx3FfYRBQpTtYnmfErXGzVaLVbucz7DVoqxBUW82ENKQRbKdJr55gNKuyrnOaRno185uIh5vw6BSdFS4fM+XX25NfwnWvuxbrK91RG86HRF3lpYZycncCVFscq01xolvjH2x7nrsJw91jLsujr6WWDSPMjr38zz58a47dOPUtk+YQqQmtAgwSQIBIgCxbZXBKt4NTFeb7t3m1IeetEc7tTem639xZenWH8anumLcWtGKWr2XOqEcTNFF79OHdwByuNm1HSX4pOuYvrujzxxBPd59myLILg1df+dbASXB9FEUeOHGFubo58Ps/WrVu7v3uldI7/dPxTTAexoJcrbN45/AD/ZNs7cKVNKWjw1xcPsK90HgEU7BS2tFCizJ4o4OpN4q6PQCuO6Apnqi3QBgtACCINURg7oaXUNH3QWiJczaZ8lh25NdSDiL8YPcpgW4m33+7jgcy9nKifohrVmKyHjM7n8fyAWqTwVZMe16ES1mlpzV3pNOvtIoEOOVo/wq7CZl5cSDDuVRhIZDEYpls1BhIZ3rV2N0PJq5defW7sFB8bPYotBDnHZcar88enDtIIA967eXf3uE6q75DTw97ND2OSSY5++QssRBWkClGRBnuRi20bcllDbzqJNJIJr8J0q876TPGWr/nt5trVkr57o8/5lXCpin/HId2JhmutKRaLXb7PZC7vxAA3z/X1eh1gVdeUrgTfr1auv21G6a14TJVSHDt2jOnpae69997uZO1gJRX0OuO9Gi/l1NQUhw8fZt26dfi+v+zB+IuJ5/ifp59kiR4vlbDJr5/4Kxqqya78EL955k/xIp/AhOilwfYUfH3fL/Mfdv0EmzK3VlNT8wLmSx5RqOjNJvAwaB0SWIABKcHYoJIGAfQ5abYX+0lZNpvzDqfLCxyamwXi9J8Hi5vZnh7mY5MvMtmqIrCItMFTES0dkZSShJQ8UtxCbjbClRb5RC9jrVkeKa7h3cP38rX5U8z4VRxp81BxA9+77pGrGqQAJ6qzHCpPMZLMkbbj9KiCk+Rco8STU6eWGaVLcXa2xGcPniYgvseOawjCWPTJqDidlzQESlFtevQl09hS8mrX99tNVLc7fRhWNlp7sz3TisViV/Xym80oXWn13Tu4g5XCrTifl6rTb9q0ia1bty5bN14Lrn8149XrdV555RVc12X79u1MTU11f3eqNsUvHvxjQhPGYnoGAhPx6YsvMumV+YUd38EvHvwzJrwSkdEEOhZJ6lyhLx74ID+/851819qHbu3cVMCE9miokB7LJrIt6q2IKOqkeIJrSYLQgBGkLYet2RGydpKsDacrCzw3Nca97dKhDel1DNh9PDV1hpcvHqceJtEmwg8DGkGEr0JyiZDXD/Zwr8ljCYuiU2Q2mMVx6rx/88N8avww034dCWzO9vK96++7pkHaCAOenDhLUloMtw3kgptkxmvw1OQ5vmXtZgru5Q7IZhTxp4cPUolChLRIC0MjitCRAcsgpSGViYhQlFsNet0sjrCwXiVHrRYH9GowSlcKqVSKVCrFmjVrlpVnlUqla6r43yzXN5tNYPUq7cMd9d0VRcdjOjk5yeTkJPfff/8Ne0wPHDiA4zjs3bv3im0jVpqobtV72ql1nZiYYO2ubZwVLcbKMzzkxg9GoEM+fOGrtLNEAdM1OTWaD44+yea8g6d8bGnTUpd7hGtRk184/Nv86x0/ygM9O2/6/GqVBcJIY9sWSdclYQyRMWgdoU0sfJBJJrAzEQGKViviYqPG5nwRKWIvTT0KybK4AE/5FY7UJulzcjSlz3zQQCO6kcjNmR7uyW/g3OwoEBsVUkhaOuA7Ru7lzf07mParZOwEw4n8defFpFcl1KprkHbGzDtJTtZmOFmbJGMnGEwUl6VFf+3EBUrNFvduGOLk5Dx+vRHfCBuQYCVl/MD6mprfIukr3FaZM2fOdI2bW1lsb7dRuhqFjlYS1+uZ1mw2u+k/QRDc1LVY7UbpHdzBaoRSikajwXPPPcfrX//6G9ocdgSCyuUyDz74YDedbyleC67vKObeLDq1riMb1lLpE7ywcI7EEs7+w3NfIWTRIO2aKwZeLJ3ip1/5MAtBg4S08cImS34NQGg0v37ir7nQWOCfbH/rNR21V0JzoUznSnXaXAgtUSok1BopBGnbIWdZ1MOIyMC0XyZtJXGkRcq2mW81EcLpcn2oDF+aHMMYyZp0gcNlj0hJAq1QStPvJHi4ZxO6VO5+j6RM0FANXt+7jvt6RjjfKGMJwYZ0D/Z1OGHaa1AJWgwkl7fpKLpJxpoV9i2cZXuxh36nh6S1qE9xcH6OU6V57hsY4nhpnovNGkKCUAJLGJyMQboQaUlFBRDU2BokKZ0dx2731ryVPvd3uP615XohxLLyrI6K/8LCQlfFP5lM0tPTQxiGN92T3HXdW7rvd/Dq8Q03SjvqulprPM+7IY/p+Pg4x48fv6LHdClWQ6TU87w4XVdrnu9X/OWBT+MrhTIaZ+YQP2zm+a4NO2lEftcTeqlPLdSGuaCMjUWLq6UoGRSK/3jyD3i45y5+dMO3M5y8fmsZ3/c5cOAASUIKGZeFSkikdNxAWoM0cU2la1m4SAIlacmIhG1R9ls0oxBHxAp2Q+kMDRaN0vPNeXwdUXQk5+vzCCHpc7K0dEikFbN+kxP1GZKiXUtsDNposlbsYMg5SXLO9etsOkhaNk0VcKFRImk59CZSCATTfhlbGp5ZOIIlLYYSRR7r2UkSm0hrXh67SDn0CT3NUH8WbLhYq6MijdSgGwptxfU2wpJkUzl6evoIgqDba2tpHePV0kauhKXHRTriQO0UM8ECQ24f9+a2YcubeyQbkceJxhiWkOzKbiQhr76QfrNFSq+HpT3TYFEMo1Qq4Xkex44d4+LFizfUM61TU7oSGB0d5eMf/zhbtmxhdHSUn/iJn7iqMue+ffuAWAxodHS0u1G/FNoIxAp4PldrQ+07+LsHpVTX+eN53g2pYJbLZQ4cOEAmk+GJJ564qkDQaoiULs3cqm1O8Xvzn6E+28SgwRi+dnCMf7fnBzlaHe++50rxs0lvASEsPBUucU8vhzHwp2Nf54X5s/zMjrfzcO+mGxKCPHXqFGNjY6wlybSMaKmIpGXFGgrCIAU4QpAQDtrEn2MLi5byqakmPSJLPQzYnO9BzDW6XD/WqDLnNxlMpDlWmaMVaXrcDMoomlHIQkvz9MQsb0gv8lFLe4y4axFC4Aqb7bkbV7lN2zZKay7Uq2Qdl6KbJGXbzPhlGqrBKe8kc8Yhb2e5J7eTNckhAI4szDPbaBJGml43RcKSjNbnCIQBG7RUNALTFXxyEyn6evowluTs2bMcPnx4WR1joVC4Yf5aen+MMZxsTHK8PkHGSvBozw5y9s0p+kdacag6jqcCduXW0Ote3Un6fxvXL1XxB5ap+M/OzhKGIc1ms7tvu5aKf71ev6k93fWwWvl+tXL9N9wo7aQUOI5zXRIIw5AjR45QKpWu6jFdipWUde+MdzNENTs7y8GDB/F6kvyvymHOzlWXKGQJlNH875MvMlpbQCLaBHQ5CVlCYAyELH62iFUJ2v/qNNU0KDRfnz/E1+aOkrdz/NjGd/LWwQeu+ECVy+VuA+977t7E6ydrfPGVWWq1Fo5jIS3QlsHY8WcEgUKFETpr8FHIMGC22aQVRezq6+fegSG+fuxEl6gsITEGSkGDUCsyVqJ7HinLxZZwqDrOfWRpKp/5VpN+N8/a1LXv65VQDjy+OnOWOb/JRLNKQtqxt9dxqEUt3ji4no2ZQUIdMdma56XKaR5Nb+f52SqjlRZ+GOH6NtoYMo5DGotWaEg2gabASlmIQYetw71syBc4O++x954d7N69m0aj0a1tGB0dxbbtbmuaa8mYL03pOdMc57fOfoRyWEUgkUIylOjj5zf9EBkryfnWLAkRN/+e8BcYdAvcm9+0zEv++dkX+POLT1GPWjQVKC1JWwne0LuHf7jh7aTt5e2Gvtm9p9fDUjGMUqnEli1bUErdUM+0er2+Ykbp93zP9/Dyyy8DMWH9+I//+FXboHzwgx/k937v9wB429vedtXjjFkh9d3VKsl3B3/n0OH6jmJmFEVXjT4YYzh79ixnzpxh27ZtbNp0baPrtYiU3szeoSO02CTki32TvHzxFKCRmK6z+UD1DP/4lf9BxkqxEFWvbJEK2sZgpwbw2p97ojbDT738ERLC4T1r7+Pnd70d+wriiB3ncxAEPP7448x8pcGkY5j2mrSsWG3XmLgtCkIQKk2gFKFSBJHEizTllse8DuhLpnn9yEYuzh/DGBP3mhYCSwgqoU8tDEjbDlIIlBE40qYvaTFaq7DLTdNvpZgP57GFw5rk2it8q2sj0povjo0y7TVY8D1caZG0bPpTCcphne09OXbn14CA+bDMgdox8naOo/UaLywsMOd5NMMIpTUpxybvJJgPfKzIRjUsXAsyecFQLs0DxXXMBR5eX5ZHd+5apup75MgRlFI3JKy3lOvrUYtfPvlRTtQn2js3yf+58CQ/u+U7uD+/mQutaZRRpK0EZ5oTpGSC+/Pbl0V8D1fH+Y1Tn2Par6AJEULjSou7chv4yY1vZ2Nm4LLPXw1cv5IK2TeDpSr+nRLBfD5PqVTi+PHjBEFAoVBY5pDu7EtWOitqtfL9auX6b7hR2qknsSyr24/0SqhUKuzfv78rqX4j/TyvN+atnOuNEJXWmtOnT3Pu3Dla63v5zYlnWfAulRXvGJLw9NQorxse4VRz4oo85VhXkSQ3hmW1ye03h9rCICiFdf7z6Y/z9YWj/PMd30vScttvW4w2dwi/VCpx7/oC23fu5BNPHqRUaZKwDKEFoWVACjSGlHBwfQs7kmDAkoJv2bCZ92zbSbq9waiFLSa8Eqad9lsKm91FURlNZDTrkj0gDJGOaIkITwdsTI9wd24jaevGerUaY9DEn/GXE0c5Xp1hd36QsWaZRhRQCjyqkceDvf2sz6SZai2QtFwG3QLTrRIvlcc5XvEYKeS4MFuh1QqJtKbabCECQ1JIkraFSVooT2FfjMCOqPoenlBcmK0w0pPrpo2sX78erfVlMuadvpodz2pnYe5ck8/Pfp0/mvjMEq+4QhjNZGuaXzj+W3hKoLQgMvEWRyKQQrAm2ce/2f79jCR7eKVyio9MfAFfKWqRaI9kqKsWn5t5ha/MH+VnN7+HvX07uobs/+1Edel5ZDIZ8vn8NXumZTIZXnzxRaanp1dE+GB0dHTZv7ds2cKTTz551eMfeughSqVYHOVW+hzewR3cLnSM0g7fX82I9H2fQ4cO0Wg0eOSRR25ont/OSOn09DSHDh0iMVzgY/5BRqtTGKGxuqvwIk1P+yXuzfcx7osrRkG1Fm3Rkutj6SbSNyF/Pv4yz86f4b8/9AOsTy9mSS11Pj/44IPYtk2fleSX7347v3/2RUbrZYzWaMfGI8KSEBmDbUl6rAS2kETaoI3gnt4h3r1pJ5vzPUwJQWQiJlpTtESJQsLiTKWKRiOFHaujq4heN8VIIs/FVjku/cFj0Bpkc2ozA+7AFb7ZlaGMRiJ4fmaCL06eZWO2SNKyqQQtGlFIrdZiazHJ69f2MB+VsIVN0c4xG8xztn6RZxYWSNk2adum2e7uUPF9NAbbhkzSJkChFDQrhsiRjNVraDRHK9M80r/uMlXfTh3j3NwcZ86cwXGcZQ7pjtOlw7XHamP8+xMfoalbCBE7LASCuor4wKk/w5EKKaOuM0K0+T5lJfipjd/Nw4XdlMMmv3z805TDBogQIeKJEOiIVyqj/OSh3+MH1j7Bd488Rqat6Px/uwN6KZRSJJNJhoeHu+0Cl4omXbhwAYj5dd++fTSbzRWLlN7h+5vHbRM6sm37iiRgjOHcuXOcPn36hjymS2FZ1i3XhVxtvOsRVccjWW41+HSuwovnDhOYAGXkkkLidjFJG8ZArzXExkyD843SMqpypMK1FDq2C6+CS8Zb9jvD1xeO8eELT/Ljm9+FUoqjR48yOzu7LNrc6Xf6jkd28ub7tnBmYp4zM/N84eAZZAJOzS2AgkzCRVoCvxHx3ofv5rt37CafiBe+KIoo4/P56UMshE0whh4nzZxfxdcRKmziCIteJ8NAIs+Et8Cb+nczMO6xPb+d9b0jN3RvAx3x9MwZnp07Ry3yWZ8qcqg8TY+bpi+RptfNUA49GmGLiVYJ2wo57U10CaDHyZG0XE7PlYiMoS+T4txMmVDpdvsbg5CQsRyiliKKFEJpqGsqCx7NWogXRUxsLcOOdcvOTUrZJaStW7cSBEE3RfTYsWOEYUixWKS3t5cwDDnun+OPS59HiFj7zBjRjZf7GgIdX4/IxNFxKTQGgTGSydY8v3L6z/ntu36cL869iDKahlpeo2TaHvB65POBU59k28Qafnn3++h1M6smpWc11GpcahxfrWfa4cOH+eAHP8jJkyfp7+/HdV3e9ra38cY3vvGWjNQnn3yS3t7lafa9vb3s27fvqr06b4Sc7ggd3cFqw9K13bbtKzqM5+fnOXjwID09Pezdu/eG14bbobSvtebkyZOMjY9xesTnc5UXqIY+go6i7eKxSw3TidYMe3t388z8MS7dB/hRbMp2LpUxV4+WXindbsIr8y8PfJI/fOwfIOAy53PnHkgp2Zkb4Hceex+na3NcbNb585NH0UZxrjlLM4xIWQ6FhMOC3+LN60f4oU1PsDZT7I4RiogDzWM0VYtIKbb1KiabimlP4SsP17LI2A5bcj2Ugxabs0O8zu7HFZI9hbuwxPWdkcYYXpqf5EsTo0x6NfoTacqtFlprhnIZBlNpKoFPS4WM1uboyYRMRxPoMFboyFopEpbLaLlKNYrYVCgw0/IIlYL2nscYSBgbAfg6QmuBiQSlRoAWdZoqIGsnLnPiXlrHuLSv5vnz5zly5Ai5XI7e3l601jRNwK+f+BM84y27pwaDFCGupRdfMW3lf2HQCJqqxW+f+3P+y+6f5pn5s1SjFgaNFJc6NuIyqI9M/C2fnz3Av9j2Xu7Ob1g1XH+7z6FzHku5/koq/rVajYWFBT72sY/x3HPPAfD+97+ft73tbbz1rW9lzZpbExRdzXy/Wrn+thmlHYNv6YMfBAGHDh2iXq/fsMf00jFbrdaKneP1IqUdQu3t7WV/usbL4xOIdvqOFHD5O9tUJUAZ+D8P/xSfGH+GPx3/KoGOsESA3S7q1EYQqlgFV9IheLM4TjdKKlnKhsaApyR/ePZFnpu5yLZWlsecNezdu3dZe4ylTbmTrsNdm4dREjh0hmo1QDcNgYrwGiFCCkZ6s3zH1p1dgxRAGcNZUaU3zLIx1QcY1qf7yFlJTjdnqEZNMlaSgpNiolViKFngTQM7OD9xnKyVvDGDVIX8/tnneG7+AhnLJSEdXiqNMeXV2JaNva62lPQnMhTtJGPePOWoyQZnGCkEkVZMeHMMJXvpFTZgmK02Sdo2xXSSIFIs1JskLRs/1CQdiawo0KCVxmu2yAzm8SOYGC8TRgrHvjq5uq67zCPXbDa76T+nGif5nHylMwUAul5PZSDSdjx/BCSs2K+udTsKKhTaaM43Z/jrmefYXz2FpxTGWMj2ZAiNQKnFBDKB4XRjmv919kv8y53vueM9baMjtnat8+j0THvTm97ESy+9xA/8wA+QzWbxPI+f+Zmf4Q1veAMf+tCHbvqzy+XyFV9fWFi46vEf//jHAXjxxRf5R//oH7Fly5YrfKc7RukdrF5c6uDtZBedP3+eXbt2sW7duptam67m1H4153ctrm+1Wt3WbtbuAT53/rMovaSpwmXGQvtlBL4O+Y93fy8vzJ/mA8f/kmroEWiFQWDLWFc/VDJu8iCANgcshdaxi/VKOF6b4r1/+zvcZw1wTyvHtzz46GWlTh0ntJSSHYVBBpI5PiWPM+U1aLbi/p0NWsx7PhnH4Ym+3azL9iwbY0bOU408tmQ3ImzB2qSgJzHLMxMVRisBlpAMpTLMthokLYd3r9tBrtJCCnlDBqk2mi9OnuBPR4+iNBScBGdrJc7Vy+Ta2VRCCIqJJJBkrDlPLWqSlv040kZjKAUViKBPbscApVYLDIxkcwRaUfZaRG0ejKJYN6Jz55pByKBM42tB2feZaNZYl8lf9Xwv7au5VLPgzMwkf2jvI0w0r/xeEbuiL7urJv7DYPB1yF9NPccXL06i8MgnfGypibSkFdk4tsKRun3tBLWoym+c/jQfvO8f3+H6Jbge1wshyOfz5PN5PvvZz/L7v//7fOhDH2LdunX8j//xP/hX/+pfcf78+Vu6nquZ71cr19+WmlKIScUY0/VidAy8YrF4Ux7TpfhGqe8aYxgdHWV0dJSdO3cysGaYX3j6/2ALiZSSIAqRUoPqLMTLCcsWkof61uJKhx/Y8GbeMLCH/zX6lxypnejGQKUw2BYEyiJEIAVIoXDEolZvZATKyCXnBbUggdbxa0dqk5wUFmdSTR6xH1l2Dpc25TbGMBc0ObtQplxp4roWCcfGlRZNP8I1NuYSR/dC2KAqAnYmcl3Ss4Rka26Q4VSePjfL4eoEng54Xc9m3ti/g5FkkfPcmGT6BW+Kr80f56nZ0ySkhW3Z5G2XHjfFdKvO+eYCI8lFld6ZoEbSthlIpikFNZLSwTMR1cjHbywQWilCqVloeliWwLEsLCGwpYXlG5Q2pNwkzdBHNyIwBq/sMz/tsX7XML4fMbfQYGTw6kR16TXOZDJkMhkSg0n+4NSfoNXSOPfioiCFad/3Je8HLGlQ7ebmUhgiE/HH43+Dp0EbuYzQHGnQajGFzCAIteLZhVNU2inVt5skVkP6bmfe38x5aK153etex8///M8D8QZkJXE18loqirBlyxbe/va3c+bMmRX97Du4g9cKXV5Yws2e53Hw4EHCMOSxxx67pYyDb2SkdG5ujgMHDjA0NMTu3bv5wImPo40hbSVpqihWhzDiioapJQT35OOI5aP92/njR3+KPz73dT46/rcIsfh5jqUJIoswsuNrRoRjxSU0mCtFSZdnS016ZWZFlZfcDHc7D3CpSsOlfF+LGsyECxyZL+FIQdpxsIXEjwwoC2mW778io1igSl7ksWXsEBBCsCHdj7te88516zmyUOFis8ae4iBvHtnM/b3DnKycvCGuL4dljtdP8NFzJ6iEEcPpNGk7SV+yQMn3mPGatKKQpB2flxeFCAHD6RRV1SBhnDhDSHkEOmIqcQFhh0x7TXS7Bta2HGoyFo5URpHQThzICBUoQ6OlODVbZmMxT0LYjDeq1zRKL0Un1XdwaIhfqzxDYDeW3a3l98NwPSY2RvMX4/vxlWYwtziWLTVJOyLSsXc73huAa/tUVIWXK2fYZQZWBdff7nOAm28JE0UR69at4wMf+AAf+MAH8H1/xQ38O3x/ddzWSCnEE2B0dJRz586xc+dO1q9ff8sT4BtRZ7I0mvu6172OQqHAvN/AV7HCrDZtk1GAbSuiaOnDEIsDDCQyvGPtru6r61KDRMZfctRi/YlrKVoqrhlNyzy/sucf8MH9H+WMOwtmuWfXC12MWdpP04AwnKpP86mJV/j7Gx9f/AwhmCu1+Nhf7mO2VOdkbYGjukzd89HGQKTR7frP4XyWlGNzbHyGN+zZxOLo8X+y7eHtcI9EYAnJG/p28K7hey+7rjdyf6f8efZXTnDRq2O0IOe6NJSHMpqhRC/rU0UuNEucrs/T66bwVEQzCticzTCQSHDRX2A+DAkUSOGQkC75ooXIhSzMaVRkqEY+tpAUkwkapSahMdQaTWhGIMCxJJYlSBhJMFEjKqSRV8+pvioueJP857MfpG5i+f32nUF1Jkr7hasNbQlD1D5WAoHRaLPU4dGJjIJjayId/y5WNwZPhXx84kXuigr0O7e399ZqIKrOM32zfUqXCh3dSI37lVAsFi/zki4sLFw1K2R0dLSb5tNR7xsdHb3Me3pHffcOVjM66bszMzMcOnSoa+DdqoPqSplWrwZXipQaY7paEXv27GHt2likZyGoo4ymqVpIQBE/e1Isihx1SkdsYfPtw491x8w7KfqTydhp3V66O7zp2opIS4yROMLl3+15Ny+MHuZpf4yqupJGxRIIUMJQDVv87qmn+e2HfmDZr5so/nLyGLPjPpPePGe9Caa9AGVsMNAM4z1H0U0xnMpxcG6avWs2LLsWSzN8Fj9WIKTgvsIA71xz92XX9UbuTUt5HG0c4Xx9gUYIPW6S0ISUwzLSsdic62Xe9zhRmWcknUMbQyVosTabYHNBUI5KVMK4PZzAxrUSJB3BQI/P0dmQRgAtHSCRZB2XZhBQDzRKhUQivg+2K3CS4EgLv2WoOSHWLcyrRtTiX5/4MAvWxGXyH0v/bV0lsr7s2gGNAIYKjSuOYcv2GG2HttICW7b4zORBrMK9N1Sn/FpiNXA9vPqe5LfK9bC6+X61cv1tM0o7k3Xfvn1EUXTLHtOleC0ipUGw2JKlIyCQz+fZu3cvM0GTT59+mZlWHU+F+Fp1zQMhDFLGhqk0DpGK6wZsLJqB4uee+wwfeOhbWZ8tUg7rjDbHuobdYkqHwZYaR2rydi8/veX72Jpbw8PhZt604SH+fPYZpvwaQFcY51IoFAb429mTy4zSlw+O85mnJjDMUmv5sRBASuCOOESOjI1qxyKXchnoyyJCaIXLQ6V9iRxp4zAfNBixi/EZG8NCUGd9qpeMffWH+Xre03Fvmsho+twcQswghCQtknjax1M+adthW66f7ZlBJrwK69IF7i70cax1hEpUZU2yh/mgyVhQIWtZDCbzOLhk+jU6YVOfiHukupbAn/PxtUGEmrAWp07ZypCWEpGyyKVS1GabrPE1A73XN+oiHdLUHhkrruP8nxc+TFMtTysXxMSk2guDbs+Zq6VUdPziltAsSRpb5gww7TrUTkqwbL+mjOGPxr6OjeTv5e9mG9uu+x1eK6wGoupsPm+2d9lKCB297W1v44Mf/OBlrz/88MOXvbZv3z7e+ta3doUPOri0RgXuqO/eweqGlJLx8XGq1Sp79uy55RqtDjqbzJXKvLg0Uur7PgcPHqTVavHYY48hUg6fn9rPhLfAxVYFX8XaFabL1JJQCxIyjoJpbdDape5n+ZXDT/MLuyVPDMQbyy/OHFx0PJtY5Ei3H7yErXCFy/s3vp5vW3M3yak6OwojPN26wEul81waIV0K024Td7gySTloUnTjnp4XGiU+3DpH6YImMBHVsAXCkDEOSZt2OxRD0UnSm0xStJJUg+VGsCNtimSpqeYy7q6qOimZouBcfW28HtfPhXNUowpDiX4cWUUBaZnEU01a2sORaTZmC9zXM8JEo4YtJG9ds4myfZy5aJp+twc/CrnQmsWRhrydIW/nKOQiNiYNY+NJokiSciEMApqBQmvwVcykQoDtSNK2Rdp1CUJFoxWyKVu85nlDfN/KYZOU5ZCyXD409gXONS9e5f4s7utuxByIHddxP9Wr3fGuQJIBIQ3SwNlwPx8YP8kGtYb71YMkrNuj4XC9tNlvFG52jVhJpf3VzPerletvm1E6OzsLxF6IRx55pCsb/2rwWvUpNcZw/vx5Tp061RUQ+MLkSf7ToadoRAGBVoRGI9vlnQKJMRptYGu2j2Gnl/2zF0kLSTGbI1CK09V5fvXA0/zmo99OM/IAE6fmStWuHzGk7Pi7SCGImOMPxv6I7EQfpzLjMB0rsu7KDXKiNk+obWzZEc8hFloCQKDb1a1TXpWMncCKBJ/6m0O0Wop1G7KU5wJEJJENhagorILd7uFlcBM2XhiRly4jPcuJJ2HZbCRPaAznG/O40qKlQgpOmrsL67pRwUtxI97TStQkaSUoZlIU3SRzvsdAIo0BGpFPPYr4zrV389519xBpjSUER+pnGJ9zaEQCX0c0I4UlJJFRlOuGffOTTHuG4UGXrcUs1YuaC2fLtJoRVmBwGnG6FZYEDM1miKtsQqlIJBw2DRWvGSmNTMST81/g+crX8bVP2sqwObmLhbCMRHbvQ/c6AItU1fatX8swFYakDPH1pSQTv0e3K5oX61VBWCZOyUIQoflo+TDbpjfwrUOXe7W/EVgNRmnHc3ozEZaVkom/1OM5OjrKww8/3PWc7tu3j2KxyJYtW9iyZQu/9mu/1j32ySef5H3ve9//tap8d/B3D0II6vU6lUoFy7J4/PHHV+Q56mwybzYKcq3xOs6qhYUFDhw4QE9PDw888AATQYl/v//DTLfKREbj66AtShNnBXXEZtJWgrf3v46/HD+GCCL6sgWMCyW/yW8cfZItj3wfw6k81dCL12hBV3inY6ZIAUb4fHjsKQ5Vz/NCaRSFQQrBhkwhTmPVVxdzVGi00SwEDSKj6U9k+fCZl7moPDZlepkKqyQ0+AqaSmMJm4QFRiiSTsw/9TBge/HyNm3DYgAhF5j0p3GwiYj5dXdmOxkrfcXz6aRvXwuBjh3/PckEW/JZDs6XSUgL2e6XOusrdhX7+fl7H48js8BUMMuX5k4TkqelA4J2bVFkIhoNi69NzXBqFgbzKR7elqBWTnNmtk652YrLZLrXP3YPBIFGNzSO5eBKi/5Ehp7EtfuIPjV7lI+MfZ0Zv4ItLR7v3cZL1cMxr3Q5/PLvfqO0U2kmF/cCHcez6OwULqk7br+ujUYgySabzOrT/NaZz/BLO957Yx+4wlgNXA83v0Z01HdXAnf4/ubxDTdKjTEcO3aM8fFxbNtmy5YtK2KQwmsTKQ3DkAMHDlAqlXj44Yfp6elhttXgVw89xYLfRJuOqWHQWtDRwImL+wW788M8P3WRrO0iO2mDUmK04atT53jHX/8R9/X3kEoFQDsS2R4jDq+LWCTAQCksM28qgEssb2OY8mcYdrOcDaNlxogtNMqIeAxjGK2Wed/ffghbSO6yhig3GuSyNqHWKB1L/kU2UFFEWQEalNRUGy1cJXls1zp2rb282fUwabb17WQirFAJmvQlcmzO9NPnZtvpo/qyPmo3QlRFJ8P+8hxTzXlayqcStKiFAbYE7do83LuRbx3eCcRCRwClsMb65CAgmQkqlMOAtE4yvyAYq5WphxFhCN6shy44PLFrHdOvlLB8sAOBbVn4RChA2wLhWuRTCXZs6KdZ9ti85drNvj85/Qleqr6AaN+zWlTlhcqLKGPhCgdl1LJ0rc69coTND615Dx+Z+DK1qIkRcdrt8otmSEpFxhIoo4iWVqQI0VbxvZztBG3RrfZ4ymh+4+STvLFvB0n7yv1UX0usBqK6WQ9uR7Bqpbynf/7nf84v/dIv8cgjj/Diiy8u60X2q7/6qzzyyCP84i/+IsVikYcffphf//Vfp1gscubMmev0LXv16Tir1Xt6B383MTExweHDh7stGVZqs7fUKF0JdCKlo6OjnDlzhh07drBhQ5y++tunPsdYcw7V5npjBFoYZLeOVGAJm7xV5KX5SSwhcYidXlIIbCEZb5b5wWc+zJZMH4GJ4lpRWMzH7JRniFjwyFeK5xZOYhBYWAgEM36NlO3Q8pe8bwkWlXsFP/b8HwOwPTvIVLNFRsR7rNDEKrRCGCKpEBKagYW0DGXjE1oWD/QV2Duy/rLxMyLN3e4AOi+Y8ebI2GlGEoMMuv3tdm0aibxMsfZ6XJ+QCbxI8ZXZaSbrHo0w4kxYw5WGrJNiR66fH9l2/7Ie3Y3II22lGHT7mQtLTLfmSVguzUqal8dDgjDCiyTVhqKYifjOuwYZn2/G7dWAhOsQKIUfaYwR2EAKhx25PkKlubdv8Jrpu0/PHeO/nv4bIqNwpU2oFU/NHsFxQlxpo9qOikuHkELwbf2P4JkaL5aPdkugLr1EkZJU6nlCE4teSrH0mMvHXRx/keulgH31lzjdeIRtmXVXfsNriNXA9XDzfN9oNBgZGVmxz1+tfL9auf4bbpRqrQmCgL1793ZTd1cKK22UhmHIwsICPT09PPHEE7huvIn/1PkjzNSb7UUnjqphxQakigyb8nksKZkPaoy1pglEg4zMYKJ4g3uxUaUeLRbcj/MiGS6/DrH8d/thEiEWGkuA7bZQykXjEmlF1VSQItVOBV2cqFYnjchIqmFE0nKIjOYFbwz7fsHuV7JIBNpolIqjjVoZrJSFryKkgkI6yXc+vJt33r8T+wreJiEEQ4k8G/ID3YdfGc2pxkXONWbwdUifm2NrZpjBRIFQRzSMf01vL4BDmq/NXKQS+mTtBMWESyVoMZgo8E+2vpH7etYuIymAlEwQETGSGGAgUWA40cfTE+eZqjToS1jYlqBsAtIJm/lGwOmghAzB1gaJxLVtpBB4Xhh7vhMOuaRL1AgYWdvD9j1XX6gWwnleqb0cjyPjeSKRRKLV9qXb2MZGiQi9ZC3Znd7IP1j3fQwl+sjbBX7z7J+hjAZ0t65YIuhx47YDWasHaBJq1RW5ErFYPHDlhcqSBt1+LKSApgr5pwf+jN+5//u/4ak9q4GobiW6cmlN6avBUo/o+973vmW/u5SEHnzwwatKxy/FHfXdO1iNqNVq3HfffczNza0oNwshVlTsSGuN1poLFy50tSIATtYmOFIdxRDixr5hAiXRRqIFFEWBhJWgFnmEeNRUE2dJf/BS4LEQNFBtB+2oN4Gx6pcZlbLtiJQIImPaRTfEtaJoHGykMdSiFpYUba6/wq7SQEsp0la8tTtcuUikNUWRbpdzGCKjkSI2YNM5RRRofF/gWjZvWbeZ79/+AEOZy9c6IQQpkWR9dj1b3A3dNXTan2Xcn6QW1UjJFOuSI4wkhgHwTKwDca3a36zs4W/HWpysVMnYLn1Jh/mWT8q2+ftb7+Xta3aTtpfzlCsdDJCxUuTsDGsTw+wvjfLkRAVpBP05lzmviWtbtFqSF8/NEUYa2xJgJI6wsC2J1gGRNiSkRcFJIoyg4CZ5fM3V1aCNMXx07Dkio8m2+4IaDIFWKAOhUiSkha/jyGX7NlK0c/zMlvfwUHE7s0GJM40xSlGNdkygbZwKWn6OmUqaoswTETFV8RkpVrrR0Gut0LFRGjtKOqU9Hzj9B3xg50+yJnnjPWJXAquB6+HV15S+WqxWvl+tXP8NN0pt2+b++++/TJFvJbCS442Pj3P27Flc1+Xhhx9GCMG0V+fHn/4kJ8pzbZekWMzSUBbS1mgrfqGiS2jL44JfxU5rAhYgaVGP+mhGUTuaJuhLSzKpetynSsSe16UejDgFNmBpVYHAYFs+oTKYtuBNygnRJu5RGWqLqN0qRgpQUYK8s5iKIo2gVmgxk/bJibZ3VhhEaJAZC5MGoyTDxRz/6b3fyuYr5LR3z6XtCV3qEX1+9jTPjI3iWg6RgfHaOE19GGFJ6qZJM6iSOH2Q/KSmkJD0Jyy2pbP0JwyCGpFu8fSMpBoJ+txEHCW0HVLSpqkiLngL5JwEEkmvk6GYiNvLrE0NcqE1RSmsUrRzFOwEYRDrQVnWYlprxnZRRjAZNJCJ+LtKBEYbbCmxbAupNNLXpBybLTuH2fstuyj0XH2hmvQnY0U/Efc3C0wTRYCUUHQhNAFekMTCRhD3VPuOwW/hPUNv747xcGEnv7bzH/PF+ZeYas0zkuhnfSrLwfpBZoJZqlFITddI20ksAZVIEWmLtEwzF/hX9Xx1OqGK9v0SxnCyPsPnp4/xnjWXC1G9llgNdSa3Uoe2kkbpHdzB/y3YvXt3t5/jSvYQh5Xj+0qlwiuvvALA448/TiKRQBnNr5/4GF9bOIhtxar3HbgW+MrCj+IUVkEDY5VoGsBuRyDygpYJKIfxvy0hyDtJmrLSFri7vDrUFiLOXLrk/AyGkAir7YRcuhNYelRcOGRRdNJdg8qVFvN+k6rwGDFFRDsSq4zBEpC0QbkBvfkEv7D9Cd4yvOeqxljn9c7fxhgmmhf5ysGXiYIQJ7KYOV+lMv48btOhUfKoN2soL8DyPoXlW6QzKYY29FHoy+I1fZpVj4k+zZFdmt6kTbJHYacsMkGS2Zpm7EyJ884CjhD0igSFviyWbTHg9lKwc8wGC/S7PTjCQvsJgkDSnxUY0VZYFxa5VILpaqtdOxvviyKtsaUkacflSQKJJQVrs3m+ZcMm7u67ugHXVAGTfhlXWhgMET4hLZBxjXAowGiFHdfPoIEdmbX8p10/2r12A24Pv7rrn/Ll+Zc4WT9P1k6zPb2OE41RTjYvkHMrzNVCdKuA8foZj1x6sg16khIhWygTXqXO9JIZIsDXPn9+8Uv8zObvv+o7Xgushp7knfK7VyNqeAffWNy2mlKISWUlI6Ur4TlVSnH06FFmZ2fZvHkzc3NzCCGo+B7v/Mwf0ojCy7mA2JjUkURKxUJUAauFY+nlReqWIrJmcBNpgiBJ0U7jWCGddAxDnMpphIlTPQ3E3U6vvPzYVoivJZhFgSRErNgrBChtoXWChEgue1/CtvEsiZdTjJ+Yw7QCpDGYhEQMueTTSYYyGe5bM0RfOs3Feg0hBDnHpVRuYAJNMukiLMHXjy3wyec/x3zNw3IlMm0xLRr4wtBSikgaQheUo9G2xiQ1uBq7FeI2IjJJn4wbci69wD2FaaQATzscrm4hMjYtLNA5GqFDI1LUo5D/fOLLGCXjtJbIYcjp4Xs23cV3bNzBvbltnGhcYKw5Q7UakTUZBhI2G9JFoihioqFxpMu89kgmLEZG8lSnWjSqPs1WGNcCA1kh2bljiB/4wUfZtHXwuqq7GSsTy+6jiUwLxaJAlhCQEArptGhEWXJ2lm/tfwPf2v+Gy8ZZlxrkR9e9C4DPzn6Bv5j5JKJdFyyR2NIHJHk3x9sG7uZdA28ga6f5jdOf5ktzh7o1xUuhjegm+1rCYFmxauVnLh4kZyfZmRtkTap4ze+3UlgN3tOb9ZwqpWi1WivqPV1pGK62Stz8OHdwByuNle4h3hnzWr1FrwdjDGNjY5w4cYLNmzdz+vTpbv/unzvwQU41LsSKupcs/QZIWLFSrqdbKNlcdowAjDCEYoF0wqHqZUhJl4yVoGairjVqSQsBhKh2XalBXSkO1v6dFp360ytBkLdTtNqtWrqvChGXtxg401zAUxFhW8Yg50I+4dLr9rA23cuW/CClsE6oI/J2mlozpF73SbkOadfhwKFpjh09xuzsl9CRIZ90qFUWCCo+QTVC+wrtB5gghEiDUqA1JlSgFUZpooxk/+nz2OUAK4y/Sfkt/VR7C0QLmkxPBmlJAj9ioQh/NH2Qj758EDSk5hSbzgqeeHgb3/7+13N/724O1U4w489Tm/eJSoIeO8/6ZAEhJU5DYCyLRhSiMGzqy3JetWgEEV4U0QzDWHzSEmwuFvj7993LWzZuxLkONySkTVLaNFWARBPiLblPcbRbYbCMwbUcnui5ix9d//bLjP2cneY7h94IQ3CsPsqvj34ozlpDI2xBf0+DVjOiWhvkkd57eP+2B9iR7+f58kH+54U/ac/hy+fmci2PmBleqhzjyzPHGE4W2Z0b/ob0MF0NXH8r7d/+LhilK8H3q5Xrb4tR2omqrXQDbNu2u56RW3no6vU6+/fvx3Ec9u7dS61WY3p6GoCf+tu/ig3Sa91KYbAlWHbUVkrtSA0tf1cu20LU+uh1smgVXHaEWEJMxuir5muIdt1CLGokuqkdBnCkIm1lqUcJWgS47boUiFNKpCUpKompBlhBhOtY2BmbYiHPPZvXEUYRQS3gI197mbHxBUYnS8yEHpGAhJGM6BRWVTFRrRN1BBuIW7PqpEDlIEoJdARSaSJp4mqOAIyEqGVjWYZmmCBQNkE4QM1PsTlfIuuGJKQh0oZAhVTDFr6KUFqijMEoiKK4ObRl+YwHc3zwWKyC/P3bdmCmizzz8hyT0w0aJqTaE1GbDhjKZUgGNiPJIjoSvHfrTnZs6uGvvnyEs+PzzM3WUIHB0dDnSGTd5/yJaTZtHbzqLddGo4xiQ2Ijg+4QU/5FzBKDFOI0XktYCKn5nuK7eWTtozjy2o/efDDP52Y/j2nfWdmuIRYIcjb88rafwV4yxvvXv5mXy6NUouayqLqh03j9krkjNCfqE/zHY5/DtWzePriLf7btzZfV/640VgNR3Wy0tl6vA6yI+u5rhTvpu3ewmrHSDuhXO2YURRw+fJhSqcRDDz1EsVjk9OnTKKX47OyLnGpcAOgqmS9F5wlJWgpXKoLL6v/jUlMDpNwQlMWA2xMbiMYlMsGygyVxP9LlOgLLBW4QtMs6xBUzYmwhGUoUGa3Po41ZbD3W7h1eEA4LkSRQcTQ15VgMJ5PcXxhmTarAdL3GUxeOMF2qcfxChfMlDy9U2EYyYJL0zdvMnllANaJ2PZthJtQIpbFDgwhioxNpgYhrVYG4wNG2UI6g/GgOb0sKbYOsReT2V8nvr2JpYk2LUFFfaMYb7h4Xv+AiGgq7FIAlqA47nHQVrc/uZ362xnf/3BvobQzx/KfnOHNqgaZSTG+B+YzHumIBgcVguodJ3eSuoX6+b89dfOTAUQ7NzDBRqxJqg5SCfMLBkRajCyUeX7vuqkapMXGKriMt3j54D5+cfInALDpaDPHeNiFsIqN4g7uTf3TPd5C2klccrwOlFR8e/ysi0xa2XKIXkUqX+S/3/TAb04ulQ48U7mZXZivHG2cxl4gnXi1bShHwqyc+hy1tdmQH+de73s1A4rXls9XC9XB7lPZfS9xJ332N8FoIE0E8EW9WPOnixYscPnyYDRs2sH37dqSUNBoNtNY8OX6Gl2Ynr/l+y1Y4SYUUsQKcJfQSCfBFY1EKEFIT6thwNTpBq9lLMj3frgGIC98tLIZSg1TCKp6qt5X+ZLsP6uLKo43EGLdNa8vRjFooGSCFwcfD0XnAoh76CAULdsjQI3l6SgkqkzXURIO5M2W+8qkzIAV22sFyLGojNnP9YJTBUqDSDidElYSnSDQNMmthuxatQIECAoP2BLgGYxmEAqnAWEAk4vaqWoDsKM0abKEo+SlqC0nu7ZtiJF3nRKWPZmQINChtiNq1EiqSXRU+C4lwDF7Y4vPjxylXJjn4cp1mRSMjieVrpNLMFBqUfA9bCkqTM9yV76P1XIlnZyaozy7gzVVxGiF9Q2mSGZtcIkFSJnnluTNs2TXMxm3LDVNlFH9beprnK8/SUA36nD4eyN7PM1GdypL2LwKBI+IUlgiFEuE1DdJj9SN8du6vGffHsaRBGNkVvOq0EahEVWaCWdYkF4lqMFHggcR9fLH+CpbbilO0lE1o1FVFESxhcKO4hc1fTx4iqyx+bMcbVkTN8mpYLUR1s55TYNV7T+/gDlYbOs7hlXZAw61HSmu1Gvv37yeZTLJ3795uH0IhBGW/zh+c//wNjWNbGmUu7R+6iM66a7czUxCQIk+NOTopLbqtrJuxE/Q6BU7V5+LvhmiLBy2BAWHsNgssZ3tlDCeqsyhj8L0GecclaTs0o4DIKBYicJ0Ee/K9TDfr1OqKU3MtTp+8gAwFrpAkIonUgqqMCLVGRuDaFuepMyE1OaFJSkgIQRBBJGPjOzLt8pigXRxpWaB0LMAn4rOd/5YemltT2NUQqxqhMjblN/chNaTOedQeyBPmbXQtdhh6PXFqbHImwopAKINTVkQDDrVhi6MHzqI/rzh/OqA0HmCQaMCZVNTWKE6E8zgWTAURmwd76Wml+MSXj1Ju1Wm2mmilGMi79OQSJB2bQTfJ0ZlZnh8f521blyumAnxt7jR/OvYi55rzZKwEbxvcxQOFjeyvH1v0GwhBQtpIIUFpmia4pkF6sTXHn0x+nn2V46h2jNwS4rKo+5HG6WVGqRSSx1PfwguTnySVKSOlJgpdjIiw7Ss/YwJIaI3SiiOVSf7doU/zX+/5nlfVg/N6WC1c36k/v1E0Gg3S6SurSd/Ba4/bapR2Gmqv5Hhwc0ap1prjx48zOTnJfffdx+DgovEhpSSIIn7l5a9ccwwhNU4yXgyMAa3BsuKlqmOYLjo8Y0U+10ky68WbXbu1lt3rBY4ziUCjjM2e3EP86IYfwhjDPz/6b2m1DR1byLh4XsCe7D083bqARJCwrFgdsK2CZwxgJAnp4OsQZTSBrOD7aUKtEUrQ2mYoUcKZhYH9Gquq2rLi8QmHTUWQsShtTSFCiRvFBON4msgxeEVwyxpLW1iWhREq7pel2/8r051hQrNoNhuB5ehuIb4UAlsa0pZPOUwz1cyyvbBAJXC50CgQKNFNWxJqsdR/8bpqjNA0QsXoaECrqRHGYAmDVIKeskPDj1B9EmFr1LjP9OQk06NN6jMVTBhvGIQQ1M5VMcMZ9OYcdlqT8SRjo3OXGaWfmPoYL1a/3m3z4qkGF4Nxtia3UfMWAIMl7LaaYmzECgQ91tXrc4/Vj/C/Jzo9rdoiR0IjhEFpu/u949eXL7KVoMVXL04iVD9ZtUg0ZTmFtr0rfp6QkEomUVpTj3z+euow26YMPcUifX199Pb2kslkVizVxxizKojqZmtKG40GyWRyxVTCXxPcyd+9g1WM1ypSerOG7sTEBEePHmXTpk1s27Zt2dompeTDE1/C1+GiKK7hqk69TsRwOcSynwSCvkSWuUa8BhskhUQ/TcqEOnYYbk4N8v/ueR+bM4P8s31/xCvl8/H3E3F+jAaGkwVmvRaBUSQtm0jrdnRVd5U4E9Ih1BGh0VTCgJZWcXcADRERno4o15uETYvI77QJACkFgTJ4WiMkaGFwQoGQAhQ4StDKgFsQOKHEljZ+FBvjQgqMlNBZ0+Nw4bKQXTDo0NqQxCmFWJ7CaIP0Q8J+l9p9ObIfnaTwQpnKw0WCIRchBVFC4FYNdlUv9uJUsSke5STRRZ+LBxrU6gZtGUCjhUWhaeNe0Pj9BpUX6IZi+myZLwRlZlpNfAE6aVBJ8Oo+zXLEyHCaiahCn53jwPTMZUbpUzMn+OXjnyXQERioCI+PTjzP5nQPRSdLNWpgCwtLyCXaGoZ+6+pOzFJY5d+e+j0akcdi/4bYwHdYnHNxmfLlXPXpc6eZK/XR31y/WOvrzmEXx676mamki1I2QoWcaszwiWe+yPbcEL29vfT29lIoFFaUm/8ucn1HaX+1R0q/mfN3v6kipZ2H80bHbDabHDhwAGMMe/fuvcw7YlkWT9XmmGzUYobRgG67B+3FO2o5i/5MKQy2tdwUXZKBgxSC+wqb+OePfA9fu3ieehjgps5wsPFs9z2GkLo6QaA9grJib+khnim8RIDfrTBNqwFsbw95e4FqVMMyFraIvYu+bsucCwcQpCyXUKuYBHWI9iUyig0xo8Hvh/JeQd8XJUbrdm2qAG0ILUPkgN1SCNsGKdCRxjIQOaAcsLVAoQkHFGGfQqUM+BLjW7E7FUDGBG2kAWEQbaNdiMUUKSnjiGk9TGAL2NM7TcrRnKv1EygLo20a3RyneLfQvcpGxIp3nu72BI1TucF2LFQKQssgtKEsAqoDmlQ5ID9xSSMVbaiPValPVJhHICzJheMXmbkwxxvedS8Da4qcqp/k+eozS+6rQQiFNnC6dRTTlhaS7XQr1VbS7YsGGLIvV/DVJv79Z+f+enEeIVHoxfHbmxMBDLqDDLnLjeSLzRqeCslc0uYlQQoPD6tNlqZzrQXteqYAW7q4lk3LwNo9O0l7ilKpxNmzZ7Esi56eni5xvRrPamcD91pGYm8ENxsprdfrpNPpFTPOXxOsUPouqzSl5w7+buO1ipTe6JhKKY4dO8b09DT3338/AwOXC9lULZ+vlA4BsYKpI6/eegM60nGXFt8s5kcJBGkrwe/c/yMcKE0x5VXRBHx04iuoyLR7nArGvRJzfpUhkeWd3jomxTzTpo6JKZgEDvdndjNpz7G/ch5tYkE+Ywx+W93VEQ5SCBKWg60VvlZorYm0abcLM20WMVipCKXBiPZeBlAmLqsRMnYgIwWWiDOUpBYYC1TCYKyYR4KsoT4gCXMCqynIXNBkTy8xyZcYplHewtgC2ersk+IrJpsKlbUxaYvCvjLpsRbBphzGsYjuKlDLWV2NBCFiAxgRv8+2JVpLjNJIKYiERmmNKyy0A74bO7IDragQISREse7Q4m0CaqGiOlVFWAIokXJsPBnwnm07ubd/iEBF/Ptjf03Qka/HkLAVUhjOt6ZxLIOUBtXWfDBGExlNQjg85G66fM4YQ2QUX5h9nnrkte9Kx/UQj6+MaGuRxF0BHirsuWyc0VqJhLSXc5LKtC99e1/UUf5tH2JZTYzJkxQuddUit20Na+Uw5VKZI0eOEEVRl+t7enpetUP6VgQFVxq3qrS/mvUjgJXh+1XK9betphRiovL9q6e/3Mq4N0pUMzMzHDp0iJGREXbt2nVFj0459PlMfTpOldEiXtXiT2rXSujY2FpSd5Jwwy4lRVpiy0WDVQB9bp6f3f4dDKYyfPeWPZTDeX799G+3F6fFetJyOM+fnfl9No89wJv3vIG/N/xe9pUP8pdjB3lpokwrTHPQOobr5EkXPJRQSNMxgARKJZECwkgRqlhIAWnQUmMciV5quxho7ICep0GGcQ/VbrpxZBCRwci2UdEmOKRAGoFQoF1oDvq01obtawWmoNFGIaYcTMtCy7YGrG3iPqzCxAQoOkZwp/mNIG37hCYm7TVpH4xg2nPwQgtPhXHar25fK6lRgUAYyZpcinTWojYfxuJAOhaLKvdqar0KxwjcOri1WBa/tt4iOWWRnG0L8BsTizNA7IBoU/n8ZIWP/e5X+PKn9vPot+7h6Ld+fsnzbLDE4j02BhxswjhZt13fLNmc3MbO0r3LFvlSOM9n5z7NodorKGPodJrt1JRIIdry7sR1OsZp9zT9vsvIoj+ZxpUWgVK4S+pCTZBEWLJt/GuE1Is9TYWhRQ2hXcotC2MkP3Hw09xTGOZnd7yBu+++m0qlwsLCAhMTExw7doxMJtM1UIvF4k0t+J1Uu9vtPb2VvmWrnqTu4A5WITrr1Eo7oG9mzEajwf79+7Esi71795JKpS47xhjD55yjRGgEBtfWi9HS7jHi8pKcJfWjS0Zrl23Y/Oy299GfyPHW4RzGGN7/4u/gRUF8TNtRGJqI/3DkE/zT4EE2jqzlT3e+kX3l8/zN5FG+Mn4OryV40jsLGJyEg2+Cdnpv+yyMREiJMhGhjnugagRa024dw+JZt/+SMo4wGmUwVtvgk+3vIdrMZzpO8vhaCCWQ2lBPaxa2WkQ2SN+geiVBwUU5huJRHzoRcW3AaKxahIg02hFIf1G4UackVkNBPcIYQbIW0XchBK3xaNF8XZogb2HVIrAtwj4btxSRHg/IDOUY2ppn4UC5KzBkDNSzmoU1gAWOBhmBEQbfBhK0U4Hbd8kC7Zj4e5t4L1cn4GOjR/n8xBkeG1mL55aXGKTgtg3SDoS2MICSCkHcVWHAzfM97kPk5eI8C3TIxy8+zRfmXqShWiSl7IoXAt26Ytp/O8Qa/d8/8g763OJl83UkneVoaW7ZaypK4nkZMmkPQZxhtVSpxHHKWHaDkpfCshUfmvwin00U+KF1b+KJ3U/QaDRYWFhgYWGBM2fOYNt2l+t7e3u7LRFvFKshUnq727/dwc3jmypS2hnzWnUmWmtOnTrFhQsXuPvuu6/ZJPfPRo/T0nFtxKJB2vaFagGBhZAGHAmORgqDJZf4TI1AaQtbgBGae6JB/v1976eQXJzwB6sv0CGxjkEqiHuHnjPHeN/rfozeQh8ArVYvL4yDFWYZTKRIJhLUw4BayebdW0fIJyTDiV5+99RXaakWRi2V4I8XX41ok84SCDBZqO+A/JHF1xBgNQ3JsqY5ZENgkJHBSkh02iJdNjhYBAmNNxhCZLADiXEEOgST0JiBCFm1cR2Bcg0kBZaryKTjoDNCkLYkUrtUWw4JqdiaapERGaQoIqxeXrfmES404IWFC0AVTEQQxUqEoS+RocvabJJv3TiCn9dMTbWo+yEGTXNI0xg0aAsiQLmGyIb0RUOYEnj9NsnZttKx0YtuRUE3Wgyxx3iu5PH5V16k/+1eV4pAdP9YhGVZ8UbFwHsHf5B1yQ0MJ9bw3MRz3U1aQ9X5nbH/Qi2qXlIfJDBL5kPH4THoDHJ39j7e0LOXfrfvsrnan8zwpuFNfG78FEJAynLwVUQ9irjb2YFKTTEVTnVPVWlBEDkYBFoECJHAEQ4CwyulCX72lU/zoUe/n4GeHnp6eoC4b2+pVGJ+fp7jx48ThiGFQqFLWtls9pqe1dVklN6KGt9qjpQac3WRi5sd5w7uYKWx0qU6cGP7h6mpKQ4fPsy6devYsWPHVdee041JxkU5Ple5XANXLPmh3ExRTHVScRdfl20jzhISrQ3DFPiZte/lnr6d3XFGG9OMNeeBRYXUjmFajTyi9Tn27IijYpvSQ7x88RlM6NJvSXLpPKFWTLXg8cFBNuXz5J0kryyc4ZnZCXy1pESjbVl23NyXQYB0FbrV9gRr0RUmkjqOmGppCMO4N7ZOWbgtQ6ahEaFmfjDmUKdmsHSsMhs6UN/mkp9qkVyQmCh2TuNK3JqmOadprHWxqwpHGIKsheUI+k81KQymSfekKOzI8OBb7iHVyPHSl4/B0SYTm228PheUIXExYOCgR77oct93bWHdg4NMjnnMTDdRwtAsCsprIEzFxrOWAmE0lorboBkbTER8XhGYFIthbhkbqcaOF9KG9niqdAIr6WN1p4zBlpcskELi4BCqkG8feZi9fTvYlV3HmVOnl/HFb539c16qHG+HDARBu0+7EYsSlZK4xClrpXhdcTdv6n2YndlNl98/4Ls27eJ4+RnKQYuc46K0oRK26K1t5p7BkKONY8scKJ0EMylCUi74URJLSC62Svzm6F+R2ObwSHEb2WyWDRs2oLWmXC6zsLDA2NgYR48eJZvNLnNIX4/HV4tRejPnEEURvu+veqN0Jfh+tXL9bTdKv5GKfK1WiwMHDhCGIY8//vh1J96Lc5PxEnLVuycwWhCGFnZCIcTlxrArJUm7hW0FjCXO8YFT/4cfXP8O7i/GZBXqgI6ADXQ8fqZbmpHOLqYUf23qPEobcpbTZcSs41IJfOYqLpaT4zdOHKVmCTJ9xKmyHTtLglKCUF3lARWw8C2SxKwmMRWfSMfgKoxHkLFo5SQqKcCy6NUOr9u9htqmEmULjhVmkCEkBy1SGYdIGVomIBQRD+3M8+jgBrTQIAzOxRaPjuyhkpV8YvwAZxpzTLXKaKMZcHJk/PvoqRkafhOdFvTme3h4YCPvHXmYahQr8V6oVzlRXiCKDAMZC+nO0Z+EZCHN6x4s8Oy+Wco+tHoNIoqFI2zilKIoB1FDQqAw9hJnQ9TejHTbv8THCwHatghdC3tNCw1do5QrqjPGarlKaNYm1zGcWLP4uzZRvVB5lmpUpeuQEHGbM92ZCUYQ83r8SZtSW3hr35vI2/kr3z/gn+55lGYU8tzsOPO+hyslD/Wt4e2bBviD8YPLtieWNCSdgGboAoK0Y3BM7Am1haEctvjM5FF+dPMj3fc4jsPg4CCDg4MYY/A8r+tZPXfu3HVTfTtG6e027pRSN+X1/bsQKb2jvnsHqxnf6Eip1poTJ04wMTHBPffcw9DQ0DXH+vr88fZPhqt1/4r7gxuCyCFht7OCulZNbJAaIwmNYZwavzLxF3yP9Ua+a83jSCHjLB+Wm4md+kOEINtT6L7+wuwY1dCn100Stfu7OtIiY7mcLdf4hztcTlQ/zkCyhOButJHx/qOTBWO4RM136YeCtEE6ChVa8cfr2DSyQ7CkIMKg3ThrJ21sHugfpLfHUJ5usi9fxdIB2V5JptfGhIZIK0qWYu0bi3zbph3Yjk3kRNhVyZDXz9pt2/nw6YMcLk0z3ixD5DOcSPLY45vZaBmCVpNWosVQpsiuvl286XseoTrfIBCGqchjdP8YerxJ/qEU/q4miUGLtGvz6HeN8PSnzjM3E1DvbUeuNdi0haKsdi/5aPHCCwRSmbgfrIgNQxLtiLEQYBlMMozDqixJH77CpbREJwlb0OfmuSu3YXG+tHlutDnJi5V4fnUio50iI7OsODB2Iwy4Pby1/zG2ptdd5QbCt63byrTX4KOnD1PyW0ghWJfJ84/vupuPzv8J7USo7vSUoqPuLGLVaJFCILCFhacDPnHx6zxS3NYdX0rZ5XGAIAi6XH/s2DHCMKRYLHaPuVKq72oxSm+2VAdWt9I+rAzfr1auv+3pu9+oSOn8/DwHDhygv7+fhx566IZES8J2+mcsM7f4esdYS1o2ymiyVhqrlYGkhzHlbrDNkZKM20CKxe842pzkV05+iH+18x9wX2EHWzO7eXLuk23DNE4jkSIWQMhaBeqqTNKK00BaKmofBZ2FTBlNoCOemhilFgREoi1z23BJp8M4kgtEoUW94SCuURKoE4KL77VZ87GQxGysCtg/XGBgSx47q+nZMERuuAhJwZhbZzpqMjsfUixm6JNZkrbBlTYtHeIACZMiMppHBjdSTCRJWi7rk/3MT09gjGF3fph3j0T81qmnYjEGoxlr1SmrkDcMrGV9OkvGT2DV4cCBAwD09vbS19fH63s38NaR7fF5G815b4zzrTFqqs4j9xYY2Sh5+lSZC40QWwlKUUBCxCkzCAdVVDCrcRfUYm2oEIiorSAsBFiybZcacC3cBz3S76oRaRslDK5Ui/lbnbuiBXU/QDqGrJ2h31ms/VwqinHWO41Zkr4Dbac1MQmGprPZiSfbi5WXONk4xS9t/gWy9pWdKTknwX946K2crZUYb1QZTGXYke/jZ4/+7iXR2M73BUdqQm3Fveza0zROG9acrM5eda4IIUin06TTadatW4fWmmq1es1U3w5J3W6j9GZrXer1+qo3Su/gDlYzOry8khvVqxmlnuexf//+q2pFXAu20Es4NoZBkJQukYko2GlqLZe0DNCy1D5AIIVEa0HYMTIRlFSD/332c1TCBj+66VvZlh0iYyeoRy1kO9KhafeRFjGXd9rZBVotxjlN5zwUgpBaOMdHTv8t++f6qQbDpK0AXzqExoqzm9AoLbhse3cJBViuwQQKHUjQ0GMn2Z0vkm216Cv0kO/vIZ1wmFMtJv06pypl3H6Loshh2S1yCYvQhGgMSZMg9CL2jAzRX4gNmSF3ENUMaZomA8kMP7z1Xv7dvqcII41WMNvy+dKc4v7+Ht60ZRArgFwjx8mTJ/F9n2JbcO+uoT5e990burwx7c9xunGOSlSjb1eCd/3MJp59eZZgJiIhBHNh2O4rrpCWRRACWsGSFvPCxA5nY4GxDDiLNC5shbQ1jmOW7fs6KcJL6cvXcfmZJSx2ZBez7pa2JTxev3DZPOuyu1l0gnQCEWOtKf7dqf/Fv9z6Y+zObr7svRDz7/t33Md3bNzBsdIsScvm3r4hPjn9+W4UdumHCeKqKWVifu8UaAkRG9ZnmzNX/JwOXNdleHiY4eHhrhhQx0gdHR29YqrvajBKb0XUEO4o7d9O3PZI6WvtPTXGcObMGc6ePcvu3btZu3btDW+KHxpcw9HpuXizfumVMvHYWwu9/OR9D/PBwy8x37Ji70OmhBQCR4aLBqnohMtjj9VHx7+AWsjy/KkFnJ4NBJkLCBSOXDz3lq7wP8/+C/7emp/irtyjPNi/hmemzhMZQ6RD5rwGzcjHCw0IjbYkQscekKaXwPNc7JZA1CyiHgW2xnbVlV1+tEsq0zD1nQ73fyXNt73tXobWCGxX8eCDD5LL5agFPr+x7xnG6lXWZHJo2yUIBU2hCLSmL2lTcNJEWjPj17krP8S7hx8gYy9awyU5SUv7NKIWH73wMpNeFVtIEtIl0CHzrQZfnbnAT+94Ha8b2kPaSsYpTtUq8/PzXaOnk07S19fHQHaIi17AjF8iZyfJp2D9UERtrsFQOsW5Up2qH6KVQNqQ6kuyLnDxa81F2X0p6VpmtHcNbe+isyeg8MNlhN0WjDACX8dtVaTRXWJpRRYNEkSBxXRL8Mv7/5Cfvet76UsUlhFV2sp0e48uNkQ3SMCYNB3XbiehW6MpR2W+Wvoa7xp4xzXn7eZcD5tzccqtMprx1mw7equX+GVF+yvHO6MgsmiGXlch2RKCtO1c83OWQkpJsVikWCyyZcuWbqrvwsICJ06cIAiC7kJfq9Vuazrszab0NJvN1W+UGsGKCBesUu/pHfzdxFIHNNz8s3ctWJZ1mSbF7OwsBw8eZHh4mF27dt3whnRbdi0Ss0wDogPRrqtMWA4/s+29/OHoPs415lHYOO5c10gJTSc0tbz29JOTz/Jw4W5emJlknbOO49FplDYsTRI2RvBvD3+C71x7np/f8U7u7hkiYdk0dYQjInw1QaRrlAOb3kSNp8c3EBmJIyNagYtGsKU4y7a+WU5XBjhb6Uca3c20ucwn2ba37Iwiq5O8ffMO3lTsR83Pcs/de1mzZg3GGP7g4CucGJtnIJNhMJmkHkX4oaYVGNIOpO3Y4J9qeAykU7xr7UNsyCxGpcfkGBUqNJXHZy6c4NDCDBJB0nYJdUQ1CHhuepa7erfw7esfpNfpXZaFMz8/z+joKI7jdLm+UCiQi9YxNj+NFJJ8xjC4xWNceQzlk7gVj7laQBgpjBS4rmR9Nk9pqk7ZxJapiOJ6U+UuXo/O/kxYCiexdF/aUdQV+JFF0lFL5kUMRcSvnf44P7f1PTxY2LrMAZ21kt2SnJjvO++Lo6Wdkq+OpoZGI43gTyf/hl/e8ZPXmLXQm0jxxPBidPZ8axLdrgE2nft+yZIeKYdq6LX73saJYQNugRuFEIJMJkMmk2H9+vVorbvaE0tTfYMgoF6vk8vlbpvg0a2U6iSTydsu0HRdrATfr1Kuv+1G6WtZZxIEAQcPHqTZbPLoo4+Sz1899fFSlDyPidk6oq0ea7RZkrMZQwjBzz74GG9Zv5k3rN3IkfnY21SmxCcmnueiP7pMX2BJgi4naxf4lc8/hR8qonAdAzsEG+8+243Cim6ah+JTF3+PbZl7+bZ12/nC+En2z07gE6IwsZfWUigNUii0kBgdf6gRglAKZGBBw0DBoCOBdC6PmsXrU7uRd69AvbuXMbHAlvwIDz5wfzfd8cDcFGP1KpvzPdhSUpGSwUwOrxXh0aClNLWwAQi2Zfv58S17lxukYZUzjGN8iZg5z4HKOFIICm4cDTYmST1sUQsVCXq6fb6EEBQKBQqFQtfo6ZDW84f38yU1xrwdYtk2juNgWZqstLCEINSaTT0ZZhseF6sBruXwnVt28w+/8wHSP+1w+OWzfP4TrzBZqlGKWtSPzkI9XCRyqcn9SA3hdBQVaDsZJAqDr2ysKK6RreglXnlhOCfP8NP7/isjM49xryPZ097BPJh7lH3VF5YQ1OI8qQcCx1me5tohtCP1o9c1SpdCIsjZKXxd7m64DOAri0BZYARhZFEPO9q+MZQxvFKapBq2yDvXbv59JVwp1XdycpJarca+ffuWpQe9WlXfm8Wt1pSuZtypKb2D1YzO86aUwnFu3Nl1vTE7XK+15vTp05w/f5677rqLNWvWXOfdi1BGMe6NkbSjZcmUXQhBZBTvHnyCR/t28HDvNo5Xp6iHPo6l+ZuZr/P8/AlY3lWUTjfRQEf861f+klrLIgojlMxiZbzu8bK97hrg0xMv8caBXTzcs5m3r93CX507RE1XsVshgbbJ2h6t0EYITY/bIjKSJBFe5DBZ7eGewXEGUjXOVfvjsqMrGCXxd4r/sISgOCJJJct4VcMbH32UQiE2UCbrNQ7MTDOUyVBIJik1PYqOxE2lOV2dp+kLKi0fjaEvmeZHdt2zzCBtqRZnowtMMEGl0uAzY+cItWIolW1viAy+jij7LUrNDL1Ob/tyL8/CUUpRqVSYn5/n1Ogon784yekwAMvGsW0sR1DMh6QcSbkZMlJIk3JsxhcCtBE8sGaEX3zD4wzlslwsVfmjZw9yqjRHRXqMh00ayizb37kpdYVLFr+itIUfQsKOlu0HjRZMt5r8y6N/yluGHHaZzdzNQwA8XNxFcszF10E3pbqzHzShAzJckmsbc73GcLo5Rkv5JK0b58ailevOpcUPWfy9NpJyINFm0ejWwIwXcrgyyd2FG39uOpBS0tPWnti6dStBEFAqlTh69Chnz57l9OnT1031fa1ws06wTlbU7c7muh7u1JSuMF7r9F2l4pYW+/fvp1gs8vjjj98UESqt+fkvfoED01NLXqRbEB8LGwi+bf1W3rI+Tq/IOC6vG+7UAKzjLYO7+eGX/y3BEp7qTHMDoCQWkJUaO5Mh1dyKkKehXY/IkmMD43Os9hIAb9g0TUXPMlZzgSSFlE3J96m1nLaSrUGoJQlIjgFpsEoWOq3RtoRII5e0tNFadNVsXWETGkVL1WnYOUa2bicU0Gy1yLkuZb+FNppmGHbvo8Ew4OZIWAXeuWUz414JYxTFRIKJ1hxSGtan+vCUx6HaccqixoDop67B1yGOsNBGxz09hSBlu/ihRyVsXfUeOY7D0NAQQ0NDHB5rUp0WrBVFolaA7/nMWz4VW9ObzDDtxY6PyETkbItv3byDf7j7gW4k8O6HNnP3Q5sJIsX/+MtnObzzInKsjjpXJar4yK0BsqCXL/DtuWC0oHS2gL+QInNfpeMo795wIQxW2udA8xjPzRZYSGf40cceZnt6J08U3sbflr+4bGa0GgMY6aMJEYZl9U0CgStvTgEPoM+VzCyZiAJIWnHf1MdzD/CJC6ev+L6pVo0vTJ3kfevvvenPXIrOJqOvr4+ZmRkee+yx66b6vpaeylsxSld9pPQO7mAVo6OMv5JOaCklSil83+fAgQP4vn9DWhGX4i8mnuLTF7+yqHFnOj21BZ22Y31ugR9e/04gTne8a8nm/cGerfzSwf/D/uroFcc3xtAIFIXIxgiHTGYd5/VpkPFYSw5ECMGXpg9zX3aCH9v4NEPiHE/PZqhEWbbmQzZlzvEno/eStYI4TRdBaCy0FnjKZazax9p8mZ5Eg+nmtaJfAldKIm3wWz4lu0n/7vtI5TJUwyZJK+b6ZhiStm2qvo8ycVOZ3lSKDbrAd2zdQV21CKgzmJUkEk3ONsdYkxzCFhbHGieZVFMIJCmZohL6aBSRUdjCAiFwZdx/uxoGVz1Ty7K63LCQSTM5P8tQMoEVxfe+5keMNgLW9tgsVCTjlQCEJmFL9vQP8s+eeJShXDwnRnry/NK7X48xhj8dPchfnj+G9g0L9YCmjlBSI5zLo+Ud4pfCULBalOpp0vlg2cY+9gEI9i1UaRSeZtqcpTd8P0V7iJ/f/H386umPEEtNtlNnIxcrShK5ZSRgXWIHSQSWuDkeTLWjsktucxf3Zu7icxPzSLu+LAU5iOIU54+O7eM/3oJReilc12VoaIijR4/y4IMPAlw31fe1wh2u/7uH2x4pXWmjVErJ7OwsJ06cYPv27WzcuPGmvR4vXZzk8OwMrrRodsUJRLsABNo6AnxtfIz//cLLpG2HnQP9PLB2GKvtlRn3ZuJmy1eAMaDLKezQJ5nJkEwksdxK+3eLdQxxFC22hF6c/W36EiVcerlrIMdIj0vKdvDCEfZPS2ossYck3TGEANMfkppJsK7Zx+n0PBILFaklyZyLntqWiBACenvypMjxV0dOUPJaCAFbRvqYCeucq5QZr1SRQiCDiJ2pFHU0OwvD3FccoanrzAUtfC2YrJU5WJnk4Z5N9LiCalSnKPJYSDRNHCHwdIgdNUlbSSwsGlFAUtpszvZe9161VMjh6iT9yRw9iSzkQWtDsdVktDHLgNa0lE/NWAw7GXYlkvz4rocuS00tLzR49qkTXPjKBbJa09Pfy/rX76ZnJM+J6GUuiNKixPpSw1RAUEmQ31IlvIoagsCQG2owV87x4VPH+OuJc+zu7+c7d97H6KkF+nsXsKVBSYXMzHRbZRtMt96oQzQP5x+67jVZirPeBPPh/KX9zAEouhaNIN4UCDoqgPFX0ECkFUer0zf1eddCp8bkeqm+nXqiG1X1vZXz+KYjqiuGeG5xnDu4gxXC0ud2pfnesixarRbPPvssvb29PPjggzekFbEUnvL5wsxz8bnSXmcF7TKKmEsQcLHZ4r+deIqBRJ41qTyP9W8mvaQn9Ghz6sofQJya63gSy7XIZDNxKYVpCxEt4/pYU6LU+BK69iUSJPm2QcPr+5o4tksoejjVzCCFITISWyiaQYJKkES3BY72TW6k1Mrz8KDLly7YRAYirWODsl002bklgY4dra5ls2ZomAOVCZ6dOY+vQ9bmsxRMgYu1KmdKCzjSQijFcDJJ0U1QcBM8vnYNZ1tnGW810MJlstngSGmKzdkZduXXMhvM02sVqZs61bBK1oWyr6mGdbJOGgebloqQQrIlV7yh+3VwZgYhJIPFYvu6QX8QcGxullSg6bEbzHuStJPi/kKG7733XtYXlmfI+VHE06Pn+dtT43gNQX8qzT3r1rB5sMCFxgKfmXuFpXltixBIqajW01jucifv0mMrQZKk1aQkDvMnF/8tPc4gD+XehTtxN83EDMlkfN5RdgZlVwGBNgJlDI4ARNyf9OHCbhx54/M50hHPVw4snswlOihFuR4vLKHCNK4V65YoZaFMXEZ0qDJ5w591PRgTpylblkUymbxuqm+H6wuFwoo6pG+F61e70j6wMny/Srn+thqlKy0TH4YhlUqFKIp45JFHKLYXrpvF6VIJpTWNMFqsEL8C5j2P397/PCNksYTkdRvW8i++5fWkHIe0nWzLvS8VrFlEMJZlIJfHcWPjSDVzRK0kdrKFRrfTaaHTv/Spr2/h2x7cT29hgp1Zl0PVTYTGJuEssCY/wkJTESmBtDSJRIQQBqUkxnfIZpKM3J3j3zz0Fn78mU/Q1OES8+Nya8UI2B9OMzHdwqlbuJaFJSQHzk1RzYYYxxAIRVo6VKKQffOz7Oof4PGhtZyqT3GqPo3E4vnKJJXQJzKaffMXebR/iI3ZBAEec3qO0IRsyqY5UavjqYhAN7CEDUgeKKxja+byBueXQpmYcJd6nKUUZFJpjO8wJTKQzJEKIxpBxLQJef755xju7SfVk6e3p4eEcfjsX+zjwugcyaRNww+pzNSolRpsenwts9tm6Sa3dix/s/h39WyWwrYqcRPsK0M6Km5ADsy2PGbHx/jaxBgJ1yb0NzDQVyMxcKR7vDFiuREsYE9mN48VX3fda7IU57zxdlBXdjdcHU9toAMC43VTgzttCjrOEE0s9rW0FvbV4GrCB9dT9V3pVN9b6VO6du3aV/WZrzXuqO/ewWpFp+3JSvK9MYb5+Xmq1Sp79uxh/fr1t7RGzfgLNFWLwPjLI0zEWS6yrR9Qaln86djXKYoClrRYn+nhX9/9DjZk4tr9rJ2iFjWvuP5HfoJcMk12ieBSgjQeNbSJmWVpDeKh+Rxfy47wxoEL5KTBGIsWEoc661MZdhTmObQwhG8sqiaBcA3SGKSCrJ2mXB/krdvexOHZr3C2ttD5Nl2av1SsZzYM+ML5USzPxTIOtpDslws0ggAvEihtSFgWnlKcqlVZawm+f+ddNHWVU/VzGG3x/FSVC5WAQBmEXOChwXl2DktSwqZGnWpQ566BBLPNkEAbyoGHhYUUFuszeb5l5MqCPpciUAprSfqQEOAmXBw3wVwgSJgsGRmi/IipVsCho0dpLcyT6cmTLxbozxb5m5Nn+MrZC0gjsKWgFUYcGJuhEQZUk1V0W3G/M358zeIfElZII3Sx7M5VvRwqkrgiwhIRkamwEJZ4cuEUAa+jMd9PLp+hOXKAruHb5XqBMmALKDpZ/v7ad9/QNelgIazQUM12pp251C6lFM3T2cCEyqYrrtn+TyCItMKWr94ovFr7t6ul+t6Mqu/N4FaU9m9GGO124Y767gpjaUNtY8yKqHRVq1VeeeUVANasWXPLBilA0rJoRdGiQbCsBwjLvFCh1BRTSYyCZ8+N8anDx/mBB+5hKNHLjswGTjYudCvODTr2mhoH2Ryk5Wg68TqlYfzIdjY/dLidBtLuMiZgYSLP1EwvT+2/j+9+43OkpM+m1BSHm9twZUBvwmZtT8BUHaS96MGzbAUJRSvUTPgRnzx/FK/zvcTSRjSXTE4DdRMQpco8KNeTSybQxnC8Nk+p3mLncD++pSgFLSwZE+q9PYO4DnzkwstMtqpMNz0iY+hxk/S6GUqBx9dmJ0H2kSOgpusM2gM81p+lqUKqQWxgOtLirtw6fnzr3lgR9jpIWy6bM/28Uh6j4KS6c+uiV6Xkt1hjFdlV7EUIQbXlcWxqnB1Fh7HgIhNnjhCFEZkpl/JRj02bhshqw/Hzs1TDgGDOZ4ZxtK6TNnF7a0HcStwiNtQKlbUUan1EjVnsdEB4FQ+G79nLU3uJPeXNIGQ8qtK/fnzZ8WLJn0Wnl+8e+g7uy92LFDf+nERKszAfLY++6zg1TQiDEJKHihv42swkvjFoY7pCR52ahScvnsYLI/7fu9/arfu9VdzIc349Vd/jx4+TTqdfVarvN2NN6R3cwWrHSkVKgyDg0KFDVCoV0uk0GzZsuP6broKUlUSZKObbtpPxEhctpVaaUMfrRcIRFO0M5xsL/M7Jr/Kf7n8PQgjePvQAf3zhy13jsiNgJ4CiGKaOItt27hljUGEa6Tbbe4LF1BvXaCLf5n+NPsKeQpl+t0JGKlpGAwpbwA9uOstveDkuBMWuw1wCWFDGxzWGT547zESjuiiLAEvlbxa/nQHfKMa9BltFivX5PAIYL9eZqYVs6MmQsdLMNpvd6zOYyvLwmj6+PP8MR+tnGJ1ymK7YFBIOvYk0rUjw7MQMnsnwSD5HjTq9sof7+5PMNALGqppISzCGjZkiP7L9fkYyN6b3sauvj31TUwRK4bbXcC+MmGs0Y/XgwX5sKYm05pWz5zhiBJZd4ezkKZpnPVImzak5wUA6x5pckVopYM5r0PIVz86W8XN1hCW6+6/OPYy7IbhszSY41vCo1xOkMldOOTYtC0sopDDY3VpRxcbhUV446VBy5kksicQu5XohLH5o5G28qe8hMvaN860xhqmaz1L5pY66M+25vS0zTErOU9dRZzfanu8GSxrKUYUfe/kP+Te7v52t2cFrfNr1caM9yTupvkNDQzes6nszuBUH9B2uv7247ZFSiBvW3mpeuTGG8fFxjh8/3k0FvFJLmBvFF06f4befff7yIuAruUBlWzRGK6KWYqHW5L88+QxPv3yGv//6+/mnW76Hf3P89ygF1bbOGrjC4l/s/BGerZZ48tAZ6p6PkBKlNRvtu3hQ7OEr858hnfdQgaQ+maU5naY33WBqvshCrUBfboG845EQEb62mQ1qFBIp5n2/W0i/TDzHCmmGhr84f4gobD+gAqSluKKN00lLTUWkpUOkDc0wILA0KjLUmgGPb1pHI4qYmpmmKQSWgC/PHWchqBMpjTaQlBa+jqhHLXJOgkgZztWbrCdWfhMIkD5vXTOIVAXKoYctIx7rXUNFj3K6OcugO0zevnptjBCCtw3uYtwrMdqYI225+DqiFgYkdYpN+d5FxVvbwZLwlfIYT6wZZmf/Vhp+ixdOn6HWrFGbCkgai6Ae4rcU9CnU+jpSS5SfxrcDGpGDMrEncjiR5uce+gcM7u3hL04+yZOtv0GjUcsUEAAlKJdyl5w3GG0QYdyo3FiLzc9F+4BOOlmv08MD+fuveg2uhOlSnf/6qWc4OzuP+2Yb4S6PUBgDwXwOoZI8UFzLS6UxwrbysDGglUAgaGnNl6ZGOVCa5tcfeCcP9N56zcmtOJ9ei1Tfb1qjdJWm49zBHcDKCBuWy2X2799PPp9nz549nDx58pbHGvdm+K+n/5jIRMv5cunPAlwrxIviModAR3gqohq2ePLiCd5T+n2+Z+P9/L0NezlUOcf+8pl2e5jYBPyBtW9iJLGJ/37k64w3qzhSEmpNwc3w/2x5nP95+q9oiggLQ96E9JgQkTSMe3leKq3hHUN1LKFICENoFIGap+BmaYh8nPVyyTNvAN8EfLV0Eq0Xv82lO6LF/U3n94ZUwgIMTR0QihBlNLXA596RNWwr9jJXKlNteWQcm4O1Y1xoTeH5UG24pF2DtEI83STlJEmIJOcWItYmFggIsHAJafHE+hQi6qfqCxqqysN968gkKxyqHWXQHWDA7bum4/XRNWt5ZWqKo/NzJG0bA9T8gISw2Fbs6TqybSkpJmyOVefJUmTT+vUIDc+PXeBcq0pD1UlXbZpa46kQI8BPehgEjnHRImznCsXX1MHil3Z+G28d2sm+2fP8k6/+DbWSIteznLf9usPGZAkhNFbbIJUCJJreVI28W8M3ErdTskzn79iYjIzi2wYfv6la0kApfvOl5/na+AVSQzlS+cpl0XAVWbxwrsX71t3Ln1x4Gd/4XbPYtRW21AghGGtN89MH/4h/uOlNfPeaR67yidfHjRqlS3Gjqr43k+r7TV1T+k3K97fVKO1M2Fv1nkZRxNGjR5mbm+PBBx+kr6+P06dP43ne9d98BVys1fjAV76KF4WLPsVLolvL0BaiKVc8yvVWt2Xl/nMXOToxw//v3a/nv9//C3zy+JOcXDhHwcrwrg2vZ1fPdu55m+bu9UM8c+I8TT/kng1DvOXudRw6/7OceGEnfekGTrt5swCSMqRhEoSh084oFoykCzhmM6/vvYuztTrna/vbdYjLT1PKdm2q1G1rKLamdWQhHcVle/hukYShUm3hCYWvFEZqQqOptlrUw5CcmyAlLBpoWiagHjbpSWSoRRWEELiWTagV9cgnaTn0J7JgLNIYqqZGJaqTszOsSw6SszOc985RVx41NUeCBKVwgblwmh3pu+h1+q563zZl+viJza/na/PHOVYbpyg1Q06S4021TNUOIECjo5ANqV6MgbPNGi3HwcOQTDjU64pQa/pyDuVCHW2BIyy8CDwj2/Z67EedC0L+29lP88s7f4T3bn8rfaUEn57+a5o6JNICpQUqtCiXstQqqUWRLBHXKskWyCBOn26UUiSHw/j2QDcBRyLZkFy/OOWM4ejJKV7Yf55y1WPz+j5e/7ot9Pdmlx3zu597gVOT8/Rkk3BsJ609x5Fu3HdXCCByMHbEJ6t/xX0D25is5DkfldoFpbEepCQmCmXidKt/f+hL/Onrv5+UdWvqmTdb33ElvNpU305mxjcbUd1J372D1Yql6bu3yvXGGM6fP8+pU6fYtm0bmzZtolwuv6rxfvfsx5luLWALm4joqmqUuURAoGy8yEUbwZn6XDe6OdYs8VvHvsqRyhS/8sD7+fK5l/jK+X2knCQPpbfwji1vBGA4lePzE6eYaFTYlO3hneu2s5kP8uHAJ2Ogxw3aOTiiG9FsRlY7yUrgyl6EtYYe6wnOetsohwfjvpOXxXUv/eFSXP35LvsBUtTwVEBoDNpoGqFPNfIYThbJOS5zzSa5lGQ6nCclE9jGEGpDMSFRRhHoCEuEDCf7qAURKWzmmKQclcnbWdYl19Dv9lIOy5xrtWgyh63ylKIy0/4MW9Kb2JLedNVzzLouP/HAg3xt/ALPXjxHQzUZ6XEYnVBY1vIvHQmFpxQDboG8k2bCK+M7htAy1B1BIAWVRkSf5dAMQjxL4wjZTmrVi/uidjTxt888xZ7CMA8ObOR33/id/Itnv8TMRAU37cflUi1J3gnYsWmyu20UbYN0fKaX54/swg8dko635DYstooRwJrkwDKDdLxS5cnTZzlXqjCYTfPmLZvYM9i/7Ht+4sQxvnT+LDnHJVndTss5TDK1RCTSSEyU4Kx8hnS0iV3ZIgcqcyAUjmVw2gZpZ9oEOuLDF55hd24tu3O35oTWOh7z1WRArkSq7zerUXonfXeF0Zk4r0aRr16vs3//fhzHYe/evSSTcduKV5Mi9MUzZ6gHAQnbwu40wr7KM9VJ7c1Jl0qj1TVgXSNJOhatMOL3vvQiI6bBei/Pex54f9xbU8QpGbYledOezbxpT1xLsdB6juOl/4dmehYnsZn5Voq+TAMbjTFwsVIECWcv9pBwariJLHt738oDhTfhSJcPnv4qsXKv6KZgLjvftjEipGGJGjhGSYR95ciyCARTUxUSA0kyjksQKmxClGW4UKmwoVBgym8xUijQn3dpNqFgpynaIbOmRagjIqNxhUXBSeMrxZ70MPd6SQp2GlwYdgdIWAlKwQIL4RyDbj8DiUVZ+flwjvHWOYp2zzU9qL2uy46CZiidICV7GW94HJ2fZsKb/v/Ye+84u67rvve792m33zu9ABgAgw6CHeykJEqkuuUSKZLjxE70IilxEjuxn+045dl+eY6fEz8ncbdixc/+2LJkyrasarGokpTYQABEL4MyvdzeTt37/XHu3JlBIQEKtEg//PgBgblz776n7LPXXmv91m+xLjFII2pT8aqUtcu4ncDTPrV2xLlanYFNOfzjdSiH2IZJi7iOJ6/zLIkaLRQd37FjqOIspiVNTjSnOVg7w635Lby59wFuzt7Ek+VnOdeeplj3mZwxqc5IpIxb+AjRaWCtOg4pgBTMne2jb7jWPZ/luhZDSITQfK30DW7N3swzT83yl18+gOdHSAkHjkzz1PMT/MSH38yG0bi+6dxChRNTS+RSDo5lUq8mOf+NzaQGamQ31HF622AEmLn4uTvgvYBZMMhUemgE5opsffc5BUsaLHlNnlua4k1DV1b/cyGudTPtV0P1XcbVGKpWq0U2m33lN/7/DBMTE3zmM59hfHyciYkJPvrRj75s2cTjjz/OxMQE4+PjADz00EOvapzreGPi1drmMAw5dOgQ5XKZvXv30tPT812NB3CmNcO51my8ce5QnpbpqXCxT5exfYIwQdXzUFojO9mthLBxVchXZ0/ymPU8xlyVH7/hfbiuS71e737+xt5hbuwdjn+I5jEaP49Qz7E7dy9PF0cpWB50nPdZN009sDlW7eVQuo8d6RJ24h3kUx9GGkPMhlPAwc76vEzBvBiXErd7OVSbHoYMyVoJhB1hSBDaYL5VIykc5t0WphDsHixQpkLCcBhK2piyRiuIMI0I2ek3HoaCvJXkttQWEm0fbEmPVSBrZmirNlPuDAYmG5Lru3amETaZdKcZcgZIG5d3DNK2yXB/yG1pg5TsJ4rg7EKN09VFdvWO4KuQathiOmhiJw0MO8KNAiYaRVIJk4F8glpNkU5YhLRRpklCWDiyga8jlOi0hNEr8hG2NKgFLn89c5B/Nv4AtwwM87n3fpC/njjBM3PTtMImTt8c/b2zJC1NFBm0PQvHDnAMxYGT4/ihQS7VRPgaAgFWlyQMHVd4PDnCX859g5tzW3HrNv/3N56m1G5jdILDXz9zjo/dcRtv2xrbYK01f3PmNKaQZGwbpTSnJ9aTTDUp5Bv09dRj59NpAnDKP4xKwEDYw0LLwZDLOtOieyQaQaAjvrV0/LtySq+lrYeXp/qeOXNmjUpzT08PjuO8aqGj67gY+/bt4yMf+QgvvPDCy77v8ccfB2JWy3PPPccHP/jBrgrzleB7mimFV9cWZmZmhsOHD7Nx40a2bt26ZvK/WkO11GrxZ4cO0Q5C2l4Y95W93NURy/pHAqslcAFkLOGdCA2klJiGpFhvMVlt8b4334tlWUgpL0ktPl79DM+XP06gNdJIsXvLWZ4/soO5Wg6pNUuNHJGOI3iPPX8zzxzZybu3j/LB9zzUXdDv69/C/5p4emUVXYUwlESehbSiFW+6g5czWo5r4HkRuhXQjnykEOwa6cMsmCy1Wzimwfpkih/YtIUwI5l2l/CUz/bsACXfo+q7mMIkbdi0w4i0YXNP/ybEdIld5jaCVEgxKNEK4p5tBTPPqDOy5hiyRpZ6VMdVbVIvY6gW/RmqYZF+axghJNtzOW7uC3l+cYmi56J0RDtUpA1IJDwmWudx6xna9YB0Kkn6rjzJQ4r2dBvVCPH7I4x7oK4tlIiQaILIIFISjcAQCqV8TAlfmP4WG5xe+hM9FKw87x18eOXA9sB0vca//OqXOVUv09W9akiEjpPWAK1akuMvjLFp1xyJtA9oolAirYCvl76JRvOX859FTWwB+hkeiJ0kpTTzS3U++zcv8a8+HEfl58sNak0PoTUVITFTBlpIQt/E6XG5MFouBBhSMZCv0iz2stxUefXUsKVBoCJq4eXb9LwSXgtDtRpXQvVd7lXcbDbJ5/NXJKLQaDRe/+IHmmtD57mKMT7wgQ90DdTExAQf+chHeOSRRy753scff5xHHnmE3//932diYoKHH36Y06dPX/U41/HGxasJQNdqNfbv308ymeS+++5bU+bzam19pBV/OfN1WlHMqFpeAborQce+L7f5RIMpFQlSlJTbrQE0hRkzgjBoRwGPz57gF+75frLZLGfPnr10GVFwHKPxjxE0APjQ+uMcqfVxvp3FERGT7QyeMkHDI+d38TezW3ggG/DLb/9ppBGf+w35YfJWkoofH/8VP7IXKt+sgtDg+Zp6S9GSLkrBpv4MQ8ksM/U6U7pGj2Vzc6GXW4aG+NbSJADDqQzjPYpTxXa8/zEtRJSkrnzeu34jOTvBej1KT7aPGXeWsl/BlAZJI0W/3bdm/U0bKRb8Beph82Wd0qJfZcpdYMDuwZExa+eBccWjxyY5uDgDhsYLFBLI9yvOtGfJeVmW6i49ZpKhAZOUlLSaGhUIGvgM9icIBQRaYwoV2+ZV39kO464EX548wv2ZbewZHMY2TD6wbTcf2La7+74wCvnNF/+SR09M4gUGhlT05yvU20lSjhcnBrQgnHKQgwEyHc9fQ0RE2uDJ8kuIMnxy5nEy7UFK7X5Gs9ku22Ch2eKPXzzIXWPryNg2bhQx12zQ9ANaQUDSNBFIWq0E4xvnuorLa+410JupUPN7Y4GlZQ2Tzr1ISBOtNY3o9Wvrr5Tq63kezWbzijOmbxin9FrY+6v4/HLQeN++fa/43g984AM88cQTPPTQQ5RKJT7wgQ90bf2V4HvmlC4/ZFdjWKIo4tixY8zNzXHLLbcwMHCxOuurNVT/+elvMlmtdYsvhCbOKBp0F/K4viRWog2V4qH14xw+u0CdADsSJCMTU0u0VqgoQgjJDbt3dXukGoZxkaE6XH2UL81/ClcVsERI0gjZND6Hkwg4dnKMUzOjKC1wZIBpaAJlU29mePyYx/vvqbKxrwDADflR3jO6hy/OvLTWL9Xgt+PvV4HBhTNxNUWFVZ8hBMONfxm0IhCQTlkMZFNsGemj5vu8a8tWoqkZhjJZdCbFydocZ9pLlIMmWzIFTtSLtMIQN1KYwmdzug8vCoh0m5zOcENmN82oRaRDIh1ypHmgW6S/DKUVEolAEiiXariIqxqYwiFvDpDsNIuuhEUckUB0sqlSCN65YRTDbHC07GPqFDf2pNCVIiqR4cSZCuUzdZoNWDIbZHI2Nz88jq4E7HtuEm+8QWlwEVObBErhYaJW0R0iLWmFkoTpc9I9y38+8nu8S97Nzr6t9Pb2kkqlunP8D46+SJOAgmnSUIoQBUYnNL/qdGvFDAe/tQUnETC0ucTopmJ8DVZXBN19imy9F+LAJ1IKMimbY6fnabY8lNL89ZcP0m77aOLAiW5rZEGQHm1wOQipMYhImSE1vzNfOsdmStmhZRnszg9ddoxXwmttqC7EaqovxBnP+fl5qtUqBw4c6NKDlqOry2yL1dBa02w2r1mm9GqygleXQXy5OoOrwZWNMTGxtifj+Ph4N0J6KXzsYx/rOp7j4+M89thjr2qc63jj4moD0FNTUxw9epTNmzezZcuWiwJIr1Yo8dGFZ3mmdOSimb68FC+/bkoDE5OIiLHEGGVRoFQ8T9zP28JAovVK+dGGdeu768QlA9DhFKL+D4hoxe9BcmNukf/rhqd4ZGobfz2zFU+ZmFqRlCGRtmiEaZ4oSd5y/gzv2bwDAMcw+dkb3sp/3P+lrkNx0UlAV8F/9YbgwlrD5c8ILVFa0HZjDfmkY1BI2dyxOU/Jtbktv40R16RVrTKU6GfEGaDWalIMK+wcsvCUZK6mqbsmgQjYmE2Tsx1KQR1P+2xObmSdM4KnPExhcrBxBF8HFxxGTGWVQhDpiCW/TDWsIxD0WQV6rDiIWI9aRFp1HVKA3SMFfNo8N7WI9h229GawfYExYDBbbXJgrkWtoTCEh+MI7tg4zMjmPE9OTTEfNDkj5tFozE6NzYX7kAiN0LDYdPnJr32J7+8f5b2bt9Pb20sul+vOvy+fnODrx0D7fSTsGr7WnF8YIAoNEpa/MudCiT+ZxNMmt994nNPRUPcaLH9zI7FAdshBtONAqhCCvlSSxWaLw/OL3LF+lP+5bx/VtoenIvIMc+4AAQAASURBVAyg4ftgQq6ngZSXYcAR1xDnnICKZ2Eaulv2tfyMKWBr+o1j6y+k+gZBQKlU4tixY0xPT3P+/Hny+Tx9fX0vq+rbbDbp7X3lVoRXgtfO1sO1sfdX/vn3v//9V/zeRx55ZE1m9GpZT6+LTOmVRE9brRb79+9HCMG9995LMnlpZbJX45Seq1Z4ZnoKFV7gsCnQAWDHm/+kaRKKiJb0QMKpcIkfuGsHf/LX+4gijWHFi2kURkQIRvIZdoysOM5CiDWG6qXKfn5j4nM01SgSTdr06LOb5LRFT77BxuF5zswOY5oKx9AImcNC0HQ9lloeP/PZR7l14whv3baZO8fW8e9veDe3FDbwfx78CoqIKJT4nolWqxeH1ZNZI0TneEIw/BXVVWGBXbMQQuBYkmSfjedHHD27yFS7wc0bh9jR28+x6VmO1Iqcrc9wotIgEAa2FWFbkjv71jPdbFMJPFKGxYn6PEfqk6xDc4fZAy3B5uQmbJlGaUXeLFAKlui1BmKxCB1Ri6qM2OsQRJxuHaQeFbsU5QWZZiyxh4I1iCEMalGJCA+JQUrmMIXD5oJgKJNme3o7nu9xulGn5eY4dLKBFwXIpBkbt7rk2Iklbrl1lA32MIfMfXHQJDIJDAt1mZRyEJmsy2doRE2e0Af4m9nTLE3W6RUp7s1sY0N6Ay8szNLjJMgEEeP5HGXPY0rV0E3WKlDoOIrqtW36h6sXbx467wk3zmEe2XrJ4/nad04xOVWmP5WgGHidOy6QdRWrMV8uUt75OwmYaY8QhR9YeL5JqBQBioSp+IupA/yb7W++ImXkC/G3baguRCqVYmBggPPnz/PAAw9Qr9cpFovMzMxw/PhxUqlU10nt6enpRlZbrdY1qzO5mqzg6zmD+Pjjj19kvHt7e9m3b99FVJ2JiQlKpRKFQoF9+/YxPj7epfBezTjX8cbEarX9K7HNURRx5MgRFhcXufXWW+nv77/k+5afz6tdVx5feI4I/2W3ZI6Ms5K+8tFoyuESb163iZlmlel2A9nRFwijgACNbZi8b2xP9/MXOqVRWCKsvg9FXKKxzLSSWAxYTd4+cI4vT2/G7jikQmYxhIEKQ1oq5L/se5JvTp/jvtEx3j62lfes281wIsvP7fsCc26HJrzaIdWsBD07r6tIIAyNVqsywQqEASI0kcLAsjQDOZNIK86Wa7R0nZ3rsmwqFJBLLmfcNsdPnOKlxRa+SJPJSLJZn7s25Dg/n2Ci7GNJk2rQ5uNHn6HP1tycgVQtx3h6I3krFi0csgc40TxNSqawOpm5SlAlY2TIyDRH6qeY8uaAuN/lWWGxObWeLamNSASNqMVMexEpJWkjScZIUsgLdjkOt+S2xqU1J1oYMs9LM7NUmh6WIzCFwIxsTkw2GNiRZcdoluZim0VXYWIgpSa4lOPeuYw5mUM7Nl+oLnLyJZdztToJKblncJD3bNvGZw8fizORdhLbyoMVsCiWWKxLGm6SnnSjS6tuegny6SaeZSKiZSrvWkT5RWhf3I5MCMGhhQUenzhDXyLJottCaY0hBX4QYVzGIV19MpaIGE4rkD5eZNAKbJSWtJWPQPKVuaPc27s91gK5Snyvbb1lWQwNDXHy5En27NmDZVkXUX1XB6SXtSeuZU3p3xVbf7VYLsuB2EH92Mc+dlWf/547pVdiqObn53nppZdYt24dO3bseNnJLqW8aqd0sdXCDaI1SnbL/5SRQPuQyzk0tYdnhJ0aO8lErcxv155l1+4+pg/VaHl+V0ktYZn8xDvvWRONWW2oJpqT/NKxP6UZZkCBpSMahs3C6UGiM0lkAC3TJJIGlqkRMoVAEChF2Gm0fbZYZsFt8p3zU/yTO2/lB/bs5B0jN/Dvv/3Nbv/Oi7FspQS2GevL6Q6N1NcmhHF9jdXWpJRDf0+K2Vod4RokkxbN0Ee043YiZ6oVDrTKPFlcwnQckoZJK9CoyOJdw7toK58z9UPsyg0QKJ9i4NKOJGebbcZTIefakwQqZHdmJ1JINia2MN2u8UTpJEueT6QVI4k8ub4Us3KCWrhEjzVMRIjWilZUZ8Y7jiUTNKMllrxJqtLGkhaWSJCUBVIyTSRlLEyhNe1QMzftkzRMNg6m0EGSiuehLM3MUg3njMGbbtzM0eI+UspG2pK673M5b05piRaCUCumo0W0GZCyMixFLp9rH2RdaYZq08Wx4yycjhT9yRQJ0+SsVyGqacQl7IdlX34O+6LNck5PKU2j5XPHzWOkUw77Dk9hmgaDqRS2Z1D0XUKtMUNBrpRFDbc7vfFWQ3SpajrpYgiBAThWhGMZNNspspaNbQi+PHuULZk+fmj9TZc9vsvhe22olo/BMGKKfT6fJ5/Pd6m+lUqFUqnEiRMn8DyP/fv3UywWqdfr18RQXU1W8KoziNeYvlur1da87DjOGtGoSqVyyY+XSqWLXtu3bx+9vb185jOf4aGHHuLjH/844+PjvP/977+qca7jjQ3TNPE872XfczmtiEth2SmNoqir5P9KUFpRDuqdCr5LIykTsWhPJ5NnCIN62OSLc99kU18vpVmbVhiwLFJjSMkPrr+RzdkV53m1rY+iAK/yThSxKqqvTBxD8eTSBv5q6gbm3Byt0KIexo6wkGkQBkprfBWhNCy0W3xj+izPzc+wf3GOn7/jAW7v28CGVA8L7eaaDNvqWsju8WiJVgKtY5aOiuKf44sCqdBmLJdjpl2h5vv0Jh20VtSaYEQmk60lZBM+OztFVEmQNi38yKLSlDxgbWdP/yAHWwcYy6RI2QaLXhEjgtl6SD8GG/0irva4NXsDCSPB+sQoM+0yT86cZ6Ht0/RD+pIp7ujbwoxVZtKbpc8qIBCEOiRQIWfaUxSsPEt+hUWvxIxeJCltbGlRMLNoBD1WlkBHWJj4oaK06KM8g829WbJmlkrQJtSKSs3l+ckZHtq9iZl2iym/Qtp0KHvNuKtCp3foamgtCBQkhGTabdJQIUNOmrZSfGlujmPVKjPlBo5pEklJJCOSdorR9Bgtbx6kS7WV6tQuCxKOxx07TzKrs5eejQKUDDo1zDHrqthq05tMsnuwn786dgxfRYxmMiRNk4V2Cy8K457ttTRyfTFmEqwdMv5bQDrZ6r6SMEPSVsBSK4MlYvXk060lfuv01/jF3d932Wflcng92Prl4zBN87JU32U2Rrlc5oknnmBiYoJ77733u/7e19TWwzWl776SrX812LdvH5/+9Kd5+OGH+ehHP3pVn/2e03dfLlOqlOLEiRNMTU2xZ88ehoeHX3HcV5Mp3ZjPYxuSNmvbccRRutgx/Zk77uW/H/02RbdFwjC6zqYfRRwPi/zA9kFOLnr4WrJ5sJcfe9Ot3Di29niX6btaa/7DwU8yWcpinXCwzxgEAShboJWBlQpIJ1wIJcqQBMLAMQVaxH0tdac2JELT9ALcIOSTLxzkTeMb6Ukm2JTt4XStiNUpjl8uJdHENE3blNimIIoEgRKEWqMaFqgVxyswBeeGWhhNA1NIeu0EpmPiYJC3Ewyl0xwtLvBsYxHTNNia6yNS8XU/16jwzMI0wgxJGhaWMFgKa/gqIGnYFLWi5GtutnpY9Jeoh3VyZo5ni/M8OlvhdKNCI4rrL/JWwKn6C4xnIh4YKrAYnKMdVQGNKRzaqobAIFQt1ifGqYRlQh1Qi8qERsjNmbdwujXPdGuJo+c9XprzKDeLaENRUCa78n2U220mZ8pUSgHu0TZt3aB/Q44ZVeJiMf21kEKz6FVwVVx/4ak2SMlQso9K0KJoNUnVUiBMiCKazSYIQUtoNgyl2bqhn8ePno3FKgQQxdpajXKSbG/r4pY9AqLFNHOLNaQQKK0Z6s/yA++MnUTZ6RsrhWA4kWLQSRJpzcJSjfHSCPNGg3q0lsartCbSknZgxdssLTEkhFrhWBE5w8AS8SJV8dt8efbYq3ZKr3Tz+Frhcn3LLMtiYGCgWxLQarWYmZnhscceIwxD7r//ft7+9rfz9re/nR/6oR96VUI8V5MVvOoM4jV2Sjds2LDm5V/4hV/gF3/xF1/x45dyMpd7zj300EMUCgU++tGP0tPTs6o/45WNcx1vbLySbZ6dneXQoUOMjY2xbdu2V9zUSiljdfCrsPdSSNYlBqgEpctmSm/IbsOSgucqh7E6daMQO7TFoMh7czs5Wouo2IpeJ837N97M962/4aJjWz4uv/mztNUiTxU38TezO5l3c2gtKHppkkZIr+XiCpNQGWgMVIdE6obhqsCyph2GeFHE16YmeGjDOPeOjnFjzwj7S9Md5013e1ILBCrSoA1sYYISKAKUFujgAuqfFtQNl5mohiEkGemQMW2SUhOEgg2JYebcMqfmW5R9n72j61Cdlm6ldpsX55ZQSNpRyPpMjnJQpRm1SEgHQwbMuBGDdh9z/iKLQYkNxigTtRpfPFXkSKXBktsmUpq05TFROslQxuCu0RRLukzJrxARYoq468Dp1iRzXpktqfUs+hXayqMZtWlGbe4t3EKoJGfbC5QWBc9NtqiFHlXXxxZZdg33MuiETFTKLPg+C4shU1MBWSfubx5EIRGqq225Rp20s4lqeyFLrRpKgxtFLLptxrI5so7DjOeTSKcgjGu/fN/D8z2UlKSMJP/g5jFeqH2Zasshm2qzeXiObKZNq2Ew712qT6tGuAlm642urU/bFj96241kbLszL+NjzNsJcpZDqBXltosTJNnhGBzxzqwRDlmZTaLzssSUglDHbWEGk5oo7OhVoHmxep4Fr86gc3XlK68Xp/RS9v5SVN8XXniBWq3GkSNH+Pmf/3m+8pWvdG39li1brvp7X1NbD9fUKX21tv7lcNtttzE+Ps7P/dzP8ZnPfOaq6L+v20yp67rs37+fKIq45557rjhTcam6zVfCQCrNLQPDfKN6viNssFoTDZKWwe7hfioH2tgdQwgQKU0YRUTAvlqTf3T7bbzvrt0knUu3zFiOnn5q4nlempSkX8xizQiUqVGmQjfsOIKbAtuJ6E2ZtJombRXR8oM4ctYp9NMSIhRKQag0s7U6x+YXaVshQaAIA4CYziFlHATIWjb1sIlyNa6pkJYmEhrtGhAIZCdLiiA+HkNzOlujp2kx7jgkEzYzzRpmwqDuezQjnxm/zaBM0Qp9HBk76/2JNHPtJvlUHMluRi1KQQWtFZ7ycfGZC6s8t7jI2dYSzyy49FpZni9PsiyDOODE0cN2FEcKD1ar5J0ao6kQR6aRSFzVpB0toNBxfanMUrD6cFUb0PiqTY+VZ3cmz2+f+DZH5ytIGZJxLGpNOO+1yZh1/BmX5pKHYxgMpJJMnF4k7xaY3VTGVR5CaoguXSSfMBW+9mPBAGUgtEkzarPol+mzClSCFhsKSc6WXGyt6M8VqHgutVaLYd9mVxTwttt38ouHT9AOO1lTBdNHB9l5/9k1NUBaQdC0OH08wYf2bqbZDti8oY/77tjcbQlz+54NnDq3hB9E2JaBFALXDbAMg771grO6fZEqoxTQaiXwhMSSJoaI1feWEUkPUyUJOxnWkte8querO04Uvep+xNcKVyp4kEql+JEf+RHe9a53sWnTJv7sz/6M73znO3ziE5/gwQcffFVO6dVkBb/XGcTJycmuKBRwUeS0UChcdCzLFN0LMT4+3hWgWv4sxNHUqxnnOt6YWLaXlwtAK6U4duwYMzMz3Hzzzd0a8CvBqwlC39e7h6ON46wV/FuWLxK8b+RN/MbEn8aKpF2HVHdYShEv6Enu3/gAH9p0G6Op/CW/Y9nW+8EJllpf5KuLW/mzs3eitCRteEw2e2hHFuuSdTKWT9a0KAcpiq5LMwgwpcRT0WovgkBHsSPouhxYmmcwk2KiXiTorMsCMIQAITCFxA00kQKPMC6HWVbv0ZeuRyurFlJLhkSaXjvDXLOJIRUeHgQGR8pltIaq55GxTBDQk0hwqlKm6MaiS74OWPRLtCIXX4e0VYAQmu/MzXOmVuYpsZ/xzDzPLk7TDAJCBTkrQUIa1EKfSCnOVttoo8aOfoOEkSApk3iRx1JQRmKRNjMMJwbotQs0wiYKTS1o0mvlGEkMcnC6yNOnZ/B0gONIDE9SbQYcW1win3RYrLXREQzm05RaLrW6wjFM6pF3+f70AnQkcdtxokIANhIvCjlfr7Gtp4eKq9jS28fJhRJaafKpJKHWzNSb5AyD8lmXd/d/P9Xdn8S1pgm1IEKyLlHmTGuAQK8SMOl88eaeswzbN9JsZxlMp3nL+EZ2DsQZ+duGh3nkyFHqvk/OceK5qsCPFDdlHGbCs4guJ2D5/4IgsJFGgBQSW8ZU7eW0hTSaRCFEOlYgDlRELWhftVN6ueDv3yaWE0CvZO8ty+Luu+/m7rvv5k1vehM/9mM/hmmaPProowwPD78qp/Tvkq1/tSgUCnzgAx/g4YcfplwuX7FNf104pRcaqqWlJQ4cOMDQ0BC7du26KknnV6Pw9/UzZ3jqzOSazfqyQ2pIwQMjA3zr3ORKNovYIXWDOGspZFyv8effeomppSo/9YMPXLKIWkrJuXqVX37xOVhycKY1SoIyBRgC2XFIoppJujfPQGIbBm2ON8oIR9IMww6lA4QNokNLVVrT9AOeWjzPH55+cZVTLYgUoDRGJKguhogogQpiRydKRjDoQ1si/VULiAbpS7Sl0aamOhRwvlQhqoGrQyq+z+GJRSxbUgnblIOA2dBnXSrL5nwPoVaYQrAnP8zfzB0l1A0kAiFNgkgSKTjRbnJy9gy1IERQRXbEBdKm2W1BAuBGAa0wRAnBRKPC1sw6ZOd3UhtIYXC0UuVQpcWC65O1LO7s6+eBgWFqeh6FIvCSuK0kW3IWzWqZ/OAgp6eqNHyf40GRRCkCUzCYzrC+J4frhVRPuuQG8zQSCwhACoXSEqUErmcRRhJTKnoKNaSAUEkC5SCFgaGhFbbJGGlMIfnwrtv55JFjHJqb4Wy9SssNSbQNai3B38gG45Hi1+64mU+fmODphRpaQWM+w+mvb2T9LXMkejy0gvqZLHNfH0Y3JH/+/FG+/F//8UWZx7fcvZUDR6c5NrEQ30qtMQzJXTetZ37dftAaAwlCECnFch49YWkCJVFaE6pO97tOSVKoFCW3QaRikpgpDI7VFtiZu/LNI7w+oqevpm8ZwFvf+lbe8Y538Au/8AvX/JiuJit42fdqsbI4fTfojJHL5dYYqgvx0EMP8fu///sXvb53796LXluuH/1ux7mONzYu5UC2Wi0OHDiA1pp77733qlWur9YprQdNPjX9xYukbESnn/WGsJ8pdwax6h1aa9woiLODQiClyeNzxzlRX+SXb3kPfc7FAfPYKQ04WfzfKIYOX5jdg68lg4k6Usf1g5ZQFP0kw4mQpHMbO3rgpaV5gNghXT42HWd4NZpIK1SkON8s8aNPfYdW6COJ+TyxPqEGFfcOVSJmV0VAHDrnYqfrAihDMdWq4WqXRuDRW4j46vwC7XKKYsMgDCMa87P0JpLs7O1DCoEQMJbJc6JaZKpZJCLqiERZBFFIiYDPTZyl5kcoVeFrYo5IazKWRaQ1vZ1MZVKbVHyXgZTN6UqJGwb7SBrxBllJC0faTNUanJptMFedwhCCXYMF3rplhMCI90ZJ6dAom4ykCkRakM/1cFa1qLgeM/UGC60WQRTRk0yyubcHaQiaDZ8B3UNFzaKFIIokhqFWXavY2YtaVtxuT4ARSUwR16B6UUStQ0u/f+MGNmRyfO3EKWYaTVphHFiIpM3jlRb7Q5+/n/qnZIx9LPQ8SmRGmFJza885TtSHqQQpQJCQAYNOjYQZUEt+ho+O/AfWZdY6R7v6+3nP1q18/uRJ6l69265uR18fw7l59kV1JAKEJNKqO59NY9kOC7wojF9fpblYCauEOn7dwOBkc5atmTemrYera//WbDbZunUr733ve/mX//JfXvNjuia2Hq6Nvb9CW381ePzxx/nABz5AuVwGVmz/xMTEFWtEfE/pu7BWkU9rzalTpzh79iy7d+9m3bqLC7xfCaspslfS7gHg15/+DpHWxM+QQKv4WLQB2oInFuf52tICoaPBiGkrftBpti3B0gbjTg+uDnnh1AzPnj3L+Ggf/Xb2oprSf/ft55ElhVMTyFATJoithhZdR0CEBj3GRgCsSLDdyvPjf/9+Pnf0OH95+BhaduJpWrO81ARRxJ9NvBQvBsQtPJajuyAQdRnTc0V8TiIEWgZyzonrJ0IQy783dPwdgUAbGmVpzvVWyFQS9A6msFImNc+j6SlMQ8aZWA1n6xUcw6QZ+dwxMMqdfevYVznN0VoZWxpx1rGz+gmtaIU+KcMhb6ZZ8Oux0mnkY0lBLLlDh5akcKSNwKKpqhjaROkIU1hMN3v468kyrgJHmpR8n8lWk/PNCn9vbB1pI895t4YfacbSOeZUi+F8AUObnJovUWy0EUow3lOgICxeODBJq+VTHq9R0XUIjc72RBOEBvV6sqvCGwjBqTmbrf0+th3gRwpbxnVGEYpK0GR3dgN39W3i1nvW8YlHv8LXFloELc2GTJbyljmKhXn2ScVB3+AH7r2Dfxjt5We/+E1azZD6dJYTp9LYhOBJhCcQocZSCt1WfOjffpLP/NqPrpnLzUqLndk0TcuhiWLd+h7e8sAOxtdl+IXz30Ch45oT4l65WscbltFsmmNVH9WJxq/elNX92DHtTHdaYcDPH/wSH9/7fgYSVy6C8HowVK+mb1kqlbqqz1wOV5MVvNoM4rJA2XeLKx3jQkdzYmKCvXv3XpQFXRY12rt3L5VKhUKh0O1VeikjdeE41/F3BxcGjBcWFnjppZcYGRlh586dr2ptuFqn9DMzj9FSbWRHBEgT0xQFGlPCgrXIn0x+jkBrIq2JVESoVKwC37HleWOQnlSayVaZr8we5m3D2+izc5hyZY2QUiKGfocDDUHJW0fJy5A0A0IMJApTRCghYhV3dpMUBlIo+tNpPrJrLwaCf/f0Y7EiamfMbt0/8FRxgpb2QStMYYAAfzmzqmX3ORbLHmvnc91NRvffHYiVv6t4RJ7Lhl6DoR6D83MG9WaIbQORwJSS+WYDW0qSlsVgMs29oyNMu4s8Mb0IWhLqEKXdDrtL4KoAKUwGUxkqnkcj9HHDkEAreu0EiFh1N1QKU8SiS17koXTEsiqvE/bwuSNLVFoRtozPef7MHKdKNX7o5gEKVpaGH9DwAoZSWapNlx4nTXo4zamlMucrVUQoGM1lGClkOVRapOS2aWufUqKBlgItjDgrjcJKqLiFC/F+1UgHWKYg2czS8H0iqePMNJqS6zKYSvPAhg28f9cudqiQz84sMVVvsSGfJcg0WMpOMmV6/Lp/lLt7tvOjuV/nxeZ/ZYkZEiJkZ3aeZmjiKguQhFrSCB0Emt+c+lV+actv4FgrNdbNIIhb8uQKLLZa9KYSPDQ+zls3b+J3D3wi7lrQua+miOeEQiEMhdIxw45lW6/jc20GBsEqVWQpBP/z7NfptTPc1XPlGcPXi62HK3dKl3ufXgul/dfS1sfH+t3b+1f7+WU7vozVtr63t3eN0NHy795QfUoNwyAIAjzP4+DBg7Tbbe6+++5XPTGWZeKv1CnVWnO+E5GI61zp1vEpA0KtyUqJYZgQaFrCx9UBHTo+BoIb/QEMJCLvs9h/hv8weQw5JdicHuLHt7yTm/KbUErziS/uJ/dtF7msmyMlyhAoW8T9N6RGKIFt2ggBbTegUne5+6aN3LplHS8tLWIKQURMJ1od6xUGNEI/7jlpGLEzt8pYK1Mj/c71EPGxiwi0KzEu4KeLUKANUI5eUe5LKjzTxzSy+J3oX8a0iZSPIwxcHdIMfU7UlnhgeCNbC2lerJ9iNGtQ0wZaOWSNNBEeh4sVpAClBQUrjRSSpLSohW2S0sRTAaGKNwERirQZUz63Zfvpt/L42sUSNo7I84mFIwRK0G/bnROS1MOQF8tVvn/dLdgySd6JqbntVRuigUIGXyr6akl6G5p+K8m+l6ZwvQCZFJS2tIgAM5KYpkQR0Ww5KB3XGydNC6kFzSjgTDHBfWM55nUZX4Xxwo9gNNHHj214S6dBu8BtRFQSVdxRl1ryHLa1sviHRPzF7DOU+5v89LZb+fgnv4mqRUSWJEpbcR9cTyNVR6NPQ2u6yf/4X1/lJz/8VgDOnJjnE7/+GOXFOtKI6WPz03WCneuRG7JkSNHgwt5jcTR0c2KUo0tTCDNgeesjgCA08AMDIWLD5kij4/y3+MrcCf7hpitfbF4PhupqM6XLPUqvNMD1criarOAbIYP4yCOP8HM/93PccccdPPfcc2vUAn/lV36FO+64g5/92Z9d897bb7+dF154odsS5pXGuY43Pi4MQCulOHnyJOfPn2fPnj2MjIy8wgiXx9U6pUcbsaiIQIDQy6YwXvG0xtAGjrSRKiQiwFPBmnNIMIRJBkWENhf55Mxf86nZ2I59cP2DvHvoLoQQHCjP8DuT61l0d6G0oO4lydguthGCEBScJnOtAlo4GMLAjyJmW3VG0jnevmELc60GCWnSjsI4A3qBOF0pbICIg89SCoJVVN84VC1XnNmOY9rR17l0LdoqmipC40qQ2qG0ZNGsh2QdAyU8jNDGjyJ8FXG6Wmbv8Cj3bxrkSPs4/b0NtqmQVtvBJkva0by4UEEGinpkUrCSWNIkZ8d7FUMIPKVpRAFZYdOOQgp2Ai9S7OrpZX0yT6BDJIKsmeGvTs9Qayv6kw5KxFlrL4yYrDSZWRqif32BKIK0Y1F3/e6pZR2Hbf292KaBaUqGcmmeX5il2GpjSkE90YrbrmmBJYz436bqOnSWNEhIg0YYoByffmkjI0nD9/F1HKzN2DYfu/VWhjo9LoXQLFpLyK01ztvnEHLtHH22cpIz7QX+9dDP8K0Dj3C25GPZIf0jVXIDdbzIxMdCa4FG0ELzSxO/wH/e8asA1FyPX/76kxxdWIoTCRpa7YBz+Srp7RYp5cT7Q70ydzv+MwUrS7lpI8yl7o0XiM48TcRMOSHj8xYmgQr569kX3nBO6TKF+Gps97VS3/27Zusff/zxrs1etu3LdaKrbf1tt93GBz/4QT7+8Y8D8Nhjj3VVha8UrwuntFqt8vTTT9PT08Ott976XYmhrFbku5KHQgiBZRgEUVyfuRw9UN19q8YXmkB5hFKBXpG+MVxBbzFBKm3ipz3OjJ1AySimRwKnm3P8u0N/ym/e8hHOP1fixW9NIRVoA1AgQ43VAl+CNgUCRUomcBIWc8UGtmVw0/YR/tF748m5c6ifvJOg6fu0O5z/ZaNqIXBZiaBEncWSldO44MSJBZ20vmTEREQgIoEMBMqOHWAvETJVrCEsQWQrolBjCLghXyCRSTHTqDGUyvC+TZs53DhLzsqwLT0CuHhK02NlEMrhdMlFE2GKuCbDkBJHxq1ZlI6jokW/idaapGkBmtsKG7mloAh0lT5zFCkMJuoLlL2QjBUr8EXEdKWcZVIJQqaacEcPjOXzbO/rY9/MDCKKCKKIiufhhiHv3b2Nyeo833r2NJV6G2+norbLJ0xKCCVSaFIijt5GodGZM/EFlFJi6VgRebbpM5LJUwmaBDrirsIOPrLxnaTNmH4UasUTuWlqlotAk7KCNfuA5Zv01cWXOPulBTZESaaCGmYrglqIn3MQpkQEKv7TiRc89sUjPHjXRnZtH+Pzf/Ys5cU6g6MFREfwqLzY4Aufeo71W97GjeFm5oxi9xrDcpYAbkjs4YuLATJdRyXaCC2w/Rx17QOx4rTSinak4johBKcaS6/4fK3G68lQXSmuZTuYq80uvtx7L8K1ED5YHucKMT4+zq/+arxJulDI4ELHslAoXNLwvtI41/F3B8uZ0ueee44gCLjnnnu+60b1V+uUJmVHBR3VrbbrorO5b0YuQYcZEr8mCJWg4eboMXpI27CoJkC2Ojk8Qclv8HtnPo9Esj21hf/n5Jcp+wVSlodGoDxByc3gGCE50yVjtXHMIZS2KPsu9cBnLFvgJ2+6h6ztEGnNSCbHdL2K1ymnWLYTJgIDSdThSUVKd0orLq0Rv5zpU1qvlChd7jnvvB5pODnvY3fG9kOFaWo2JUzW9Q6z0Gzgq4j379hCxZgl1LAxOYLX69GIWiSkQZ8xyKkln7puYAoLrcGNQkwhSBhm93ibgU/D9zs94AXj2T7eMtpDkyUG7F4cadMK20yUG1jSwDFtQhV2yn0M/CBgqa4xhIFhwl0b1vG5Iydwg5BCpPBcj7lGk73rR0k6Jp85epSZZh1ha+pJH2WuOPyhVjiGgTZX2+e4ttiRBq4KWdBVRtMDOKZB3ffZlM/zqw++jXWrEilP63O0huMSGinVRbZeoZn3KvzK818lWNiAxzzVumaxVGBowxK9G2sESuJHJlGnBrgdRvy/J/+UHx57P185eZojC0sMZVJYnT1v0/f5+plz3DO2js3uCIcyZ+OsZzdYEdv6t/Xdy/+cmiayDJLJOlIqVJClHdpEoiOqhMZXIR4hAjjVnL/MhLk03oi2HrhmPclfU1sP11To6Erw0EMP8dBDD3Xt9GpcaOtX2/CrVd6F77FTqrWmWq1SLBbZtWsXY2Nj33VGYrVTalmXFhy6EPdvHOPRE6cvqDLpQICro5jSaq1d9iMbij0eE/Nl+kY9lIwAgSmN2FnUmkCF/MXU01Qej2I1PClYDpppEWdGLReUoenNpbj/pnHe/JadtP2A/kKabWMDSBl/5y3rR7h5dIgD0/MEbhspZVyLqSIGUmmUbFNTXhw1XQ0dU3EvOrHuvy5uFg2xY4qWkA/BjBc109KgJJHWhERECgwtWJfMUW/73D24nvmgjCUtMmYCrRX9di/zXpFZr8QGpw9Laiqhph2FtMMmhoi/f0OyQIQiazlkTAtDSjamCtzeM8ZtPetRtJj1jtEIi2gUlmEhhSBQAUHnokphILEx0DjS7Lwm+MCuXRCGfKdeZ7peJ2PbvGN8nLdt2cJnp5tUv+bSHgmp7QnQgrhHraFRWtDyJWn70mwnR1pEOsAQBqGOGEn08GD/zTw8cGuXJgvw1NIES1acpbywh9jyrFoODhSdOlk3xUg+w0ylgeFr7LpPmLIwAo2I4rqhuL+A4Fd++TF+5IObOX7oHHbSiimqIo4Q5vvSFOdrnD2xyNbCelJDeT6/8LWOuAHYwuQ9gw/yZOlFsmOn0UCzmqQyV0BHBqJPQEebaJm+prQmQjPnVi+aMy+H14uhutpM6eUabb8avJrs4hVlEK9xTel1XMe1Rr1eJwgCkskke/fuvSaU+Kt1St8+eA/HGqeBtar0EC+nHlFcvrPqMwIwpSKbrDJbMzGkhy9aAHFdoRAdXYGIT09/nbsSipIX4FghPvEeJJ9oUWpnqLhpXNPCFpJbB8b44a03x6qqls0t/cM4RmyzCk6C927aziOnDrPQbMTHIARKK7KGSc5KMR2W4gzqqoPVsNLqhdWvL3smL/98ay1ACXSHuWUJQaRi3Yp2AIGE4UwGN/QZSKVJpzSzLZfRRFxzOOT04bsBpaBGUibIO4L5usBD0fCbmDLu75q3HPqTKYJIMZhKo9EMJtLcMTDKXUPrydkWJ5tnWPCXaIRNLKyOKI9LO4rrN6UQOMJEioiEsbLXu3/TGG4Q8vkXXmS20SSTSLB33Qjv272d880Kv3egFbfaSQUg9YoB7lynSK0o8HZi9wDYhkGoFUnLxPMico7Du7Zs5R/feBO5VeIw1aDFPnPqkpv+5a+KKbOaMlUM3yZhDYIzjRcazE/3kRhwCUxBqA2UjrOYKJOv1A4x/NQAX56toKMQVKfUSkDatim1PA7OLTCuEnxs3Yf4xOwjtCK3cy6Cu/M3U/EbZPsPI0RE03WYXirQdpNk0wFGko56v+w+GwpFO1xpTXMleCPaet/3CYLguw6ULeM1s/VwTWtKX2/4njmlQRCwf/9+yuUy+XyejRs3XpNxYyGCq+tV+ktvfZBvTJzDW0XvFDqOZiHjhUqbl15hooSmbLgIo9ql03TLM4RAKcXR6hTBtNPpR7myCAohEIHC6zUI+gx++397Lzu2DmMYl36YbdPgpx66j//n0W/x1JnJmJIjNAO5DBuHeimELi/4M93s1/KqYrQ6FIbVpxCtxO6kJBZEuhAqXuxWlMcFzYxPrp5EBxDaChOYajVplhYYdFLcObieo+5p7I5D6OsQjUGoNdWgyZCTZp2ZY7ZdRsiYnht2vmfJb3Fv/0Y+uuVuRpKXKrzOM568g7aqo1FUrCnWJc9wuhmQ0gaWlATKpxIE9Nk57u7f1P1kIZHgh3ftYqBaZc9ttzGQSpFPJGgHAU8dPU9oQnNHhJYgvY5ceirOECstCCKFITWRiqm4yw5noBSONPmVG95PxjbJW+nuua/GC5VJDCFQmm5N6kXozIuwomi3PHRTkzNMGjJAhArpK0SkkX6I8GKDBOB5PrY5hGGcoVX3aNXamLYknUthmmaXzi6F5AeHHuLNvXdwuH4SQxiMJob5pRN/RC1odelsmUKLZMZj6uQghKrrlK5u4SGBBa96VbXbV1vP+Vrg1dSUXqtMKVxddvF6BvE6/q7g1KlT3X58e/bsuWYb1qt1Su/tvYW/mn2CyfYMsIq12qmgWc6WrkHnNSk0CbvJrOeTSYAh5JpNuhCCkl/juD9DbPVMVMe2SamxzYB1mRI39U5zX/8/5U3r3kTKvHzg/Ed330IzDPjUkf20dcyOyZkO2/sGMKRgIawR6FjgpxvU1J2T0avM/arzkUgiVheqrvpLr9ojaIEPpE0NgcJXILWg5AccKy1gasmb1o2hhYchOokAHcVlRRrakcuSX2JXoY/Di60uSdTvBMwbYcBmy+EjN93G3oHRS57/DdntbIrW46uAethivH+euYZHpAQJQxLqiJLfxpQm969faWthGZJ37dyKMT/D4MZNDPf1MpSJA4v/6/hpWjpApaLYIV0Wnl1lwkIUZiQQnT3fsuhipBVSCv7F7ru5q7CRlGWTvYSa/OH6FFGXL33xecXXOr5OoQd+END0AwzZj5EsEQYWtWoas8cjUCZeaBAoA63BkhFHxsqkKmn8VomZcgUJZBMOCdsGVuh+N2a28+s7/x0H68doRS7bUhv54+nP8nRlf9xRQEM64bFlZIHTs/3UXJOe5PK10N1kXKzrIZhoLl6x4NEb1dYD18wpvW7rXx2+Z07p9PQ0Wmt27NjB5OTkNR37ag1VxrbJ2DZ+GNNkpBAkTZMGPl3ixSX23ct+nkqC8EykCC56mxAwkMhzwq0hwrUbeB17qShb8t6H9rB7x6UX59XY0JPnF9/5AD/3mc9xtN5mtDdPfzZDGCnqDZ+t2V6WZBPHMLGlQasaUgm9LhUJDUYIEsFgJsH6RIoDS5W4jmL5uFafswCMzgKrQBsK1wmwmxZOwqAd+ZQCD7uuKLQDZo8ew8/5VB2fZNbiTGuGatjExMbUWSYqIWfaLfKGw0AmRyX0CFWEJSUSyZsHxul30pyoLdIIPfqdNBtShVV1EZKUkUfpiGm1wA9uGOWPz8yz6HmxIRaQNOADG3bQa691JoQQ9FgWW1f1hHr6xCSnzxbjOt2cRisIpUBHAtoCI6HQIrZd+XRItWEjhKQVBt3r9P0bdrA52/ey982RVne/AAaREhjyEtnposCcMbEdM47cewEJw8BTCqE00g2QrQDRakOrDWEEUvBHv/Q5Mv15qtU2shPwaJQ97JSFnTSIzDq+H1Ple3I5HuiNKeF/PPU3NMJWx+FcrjnWmFbE8PZFXN8miEzcwFr2gQFIyJh6rdAYl3o4LoHXS/T0asoDGo3GNTNSryWEjv9ci3Gu4zquJer1OrOzs+zdu5dnn332mq4DVxuAFkIwmuhnxp3tBG8FJgYa8AlZkzaLPwGslDskrJAgTMTCNxc0kdbouARFVfCUie+v1LOJzrelEwH3D/u8Y93bXvFY05bNT992L+70LF+qLpBLphjLF0AIFttNhnUfddpYZpyx1Rrm/FqXprlss0GQNixuNQp8x6sQRau6E1zoOF2QdW1EAY4hyDgWrqdp64C6V2SzMPDOTlDstakn6hSMLHP+EotBGRMDS6dYaticXyphIdna0081cGlHUSfjq7mpd4jb+0eYbFSZbzdJmxZb871dJxAgbaRIGzDtLrF3LM9CLeJMuU7Diw/UkHDXugHePHZxUiNtGmzuyZPPxuv3ktvkK2cnCFFgalabvGXndJneLCITwwqRAtww6Ab6x5J9vG1wG2nr8q3NHBkHGmLdTBELSa5aWLuXXIC3kIw7DgBuECLdAhhNFBBqg6Zv0Ww5hEUHXYvpWo/k5tkiN1DxQ4zOja5GbbJe3FLHqpTAlJRKJfr7+7kjH/cUP1g/zvHW2Y4eyfKM1gih2TK6SBgZtEOLdpCIW612JoNBLP7U7GSorwSvF1t/tawo4JoGoV8rXAt7/3q19d8zp3TTpk2sX7+epaWlq+4z9kq4Wqf09559jorrrgQZtablBySkoGVc/s4t/8bCwFnM4w+34ihbh/wRdRy9947u5f/0vxIzRZabXAFSxe1g7JTJv3/oTVd0rK1Wi5cOHuSdw32MrEvw0vwi58tVhBCM5LPcvXMdnz73EutSWQwpoQBNN2CqXKM/leI/3fk2ZmsNhnMZzEqZ85Uak80jLDSaa2ootIiPUyejFSWIjmy+sKEQJRjIpHAbLXYkLHrzOdI9ecxUL731MhPFSU6Ks/iOoieZZTIImW1GoEMWAhdTSApKc0fPhi5l6XR9iXro83unvs3ZRolAK5KGxQ35Id6/4SZS5ooh0Ci0jhjPZPnZnX08ubTIXLtN1rK4saC4v+/lM++1tsfB83N89oUjtKMIUgLaEt8BbXS5PESuSSoJbx8c5/0bbuJ8vcGvHf0mFc/HklBICc6FZ/nq4lHeOrDrst/3YP8WPjW9r3N1oeU5pBMespOdBBAtSeLPHUJfoQyNlLEioY40VtbGdyOEHyEaLajVV0L6EfjFOjU/wu7NEkVxZtR1I6Rh8A//xVsZWmezuLjIgQMHgLg5c19fHwdrp9c4pKv6cWPKCCkVjuHjmFBpWd054iqFCCJO1JfYdYWtYV4vhupqeqVey5rS1xTXosZkeZzruI5riFwux/3339/9OQzD70o3YjVWq/dfCQ5Wj3Owdnwl2IwmJMTQcYuMtRAdJsjKK0oZJEQOQZsI1fkcXQf3rQO38szCYRQmWsWKughQysIQikKqxZ19//WKjjWKIg4fPsxeO0N6cw9PVRY536gBkLcT/MCWXfz1xDFsaZKzY/roeruXWa9GoCJ+Ye9bUSgSpslmkeTwkSO4KsHzi9NEq9LBuvu/C88eFIKMlWBdNolrRoxbms09Ds5gHtvsIduUnFmY4qn5Z2knAnJOhoaSHC8KwiBittmipSIqgcvunkF6nLim92w9Fjv85KmX2FecoxUGmEKyKZvnQ1v2sC69likV6oiMbfPRO7azb6bI6WId05CMFATv3LjtZWmlfhRxvFjkryaOUq676E7rvTXoeImWlGzL9/KvdtxNbyLBf9z3GFN+CYHA8RM0awa/v38fP3H7nZiXsWU35cZIYdEmdv4lEt1pydM9Sg3uqQJh2yC0IyzDwDQkbhDSl06RyM9QDWxqTZvwfAbaZteL8BcTHKVINmHjdea+F0WEWvP9u7bxtu3jnDh2jNOnT3PkyBEKhQJ9fX0c5sRF93n5sglAioiMrUiaEUutTJdMFxIRoTjVnOPm/AauBEqpa/aMv1pcbU3pstL+93qPckW4Fvb+dWrrv2ezZlkV63INtb8bXI1TOluv86mXDpEwDVp+uIbO4mtICCOOrGnwxcVjCg1DYZJMYJOvJZjqOd9VypNIfnjD/eQWcygdIVVMAcLU4Iu4J5Yj2TM6SKPhUau59PakSKUv3by2WCyyf/9+hoaGaDab/Lu3PcCxpRLnK1VyjsPe9aMERHx94QzTrTojqQymkIQyIpk1+eGdN7F7aJDdQ7ETcbJWZSSd5A8/9AP89lPP8uiJ0wRKxU22JWAptBXFLWuW2+UAWmmEKYj8kCFTMprNsW3LNk6WFzmuWpjZFJa1Ce3NoFWVSq3JmbqHLW36nSRl08BTmqLXYqpVZUu2DzeKmznvK02x5DfZkCzgSING6PNscZKCleR9629YucfCImX2UfbP0WOP8r516wFwVY1IhySM/EXXT2tNhOKl+Vm+su8UZ+YrTMyW8RzAAr/TCw5BV0hIofF9g49svo/RVJ4nFh+jPx+yx+nBEHGf2CW/waemnuG2wkYK1qX77G1PD/Agw3yd+VhIQEtqLYeskmwo51BzUDvqE+zycW8IiOY8ksckKoRkyuY//cYH+Yl//klE24NGE9QqqyoFSEnYcFm/uR8fgedFoBSOKdh5w3oiw6XdbnPLLbdQq9UoFotMT08TRC7aWB29XR0qj+sWhAQtfYQwWO5HtHx9/sfxb/G7e3/oiii8rxen9GopPW+ETOl1XMfrGcvrg5Tymtr7q8mUaq35i9lHQetuX+xlhywUChuTsFOPH3Rs+HKec3lVDMMMfXaGSJmYdpFG2O7QZwU35cf5JxvfyRdnnkUaaVzPRmCg0UipyWeauORImmOcqZXJWjb9yUsHvNrtNi+++CJSStLpND+yfQd/L2HzUnEBQwhuHRhhMJXmbL3CUzPnsaQkaVqx4FEguG94E28a2dS97qVSCUPD797//fy/x/fxh8dfoBH6q0SPBCxfxpWYbLeOMAygh4j1SYcbtu+m5NU53a6RtfvwM5sgSBEyRdD2OTqvaIQG69ImgWMzE7ZpBQGnqyVuG4iVlr0opOi1OViaZzCZYTSZwVcRJ6slPnX6ED+x5641GdNeK8fZ1iyGIbhnbIh7xoYIVMiSX6HXuXSPRaUUs+0aXz19nKOLRY6XiwR+fGI6usBedX4MIsX71u/ivuGNfOn0KdpFg63JMZKmCTY08Pna+bPcPbqeezt7jgthSYO/x24+JQ4REQeIlRIILelx+8C1mD0fYeZ8Upvq6MCkXUyhQ4khBf/0jnv4mjHHYlERVJKItok2Vm1MiQUq87ZDwjKp+7HScKQUt46M0N/bywng7rvvxnVdSqUSxWKRYnsRnVqVsb0gVaZ1TEc3ZIhterSD5X1orM/x51PP8Ka+nQw4rywE9Ea19ddSP+I6Xh1eF+q738tM6f7ZOdwgJO84GEJQ99aqrv3rW+7gk0f2Mxf5GIYgWvUgSw3rymmG7DSVlsubMzfzjjt+iGdKJ9Bac0fvVoYTPfzX33kMs61IvKWBfXcTkVTouoH3zQxqX5rgfIv/6z99Ds8PSacc7n9gG29/+x5MM36gtNacO3eOkydPsmvXLoaGhpiamkIKwU0jQ9w0MrTqjCx+6qZ7+R8vfZvZVh2lNY5hcmPvEBsyOdph0FG0pdMCR7OhJ8///d6H+dDSDfz41z5LrRwhqhJciVGzY3uVi4gGYhXWrZl+UhEMadjcN4Dj2IDmdKPE/GKLXieBFJKyr0gnstzYP8C5aJo+aRIEPkml8SNNW3ucr5fImw6loM36VI4lr8n6RJ5EJ3uatRxcFfJieZqHhretyZb2WeO0whLVcBpbpgmUiyJkxL4BR17sSCz5DQ6wyOTzNWbmm/itiChSGBoCWxMlO4JQpu7W6RhCYgmDM40KOdvhYG2SrJHoUreEEPTZaea9Gi9VJ3mgf8cl55nWmrfLUf7BbQ/ylbmjLNQanHumxEg5Rz6ZZC5R5twHl8AANLRlRKMsGf1Mmvc8fDvrN/TzEz/5EL/9U5+CKFpVL7Rc9QGgaVaarN86DIDvBdRKTdoNFyunu4GgfD5PPp9nfHycygL83uTnWJaPXw0/NDGExBQCT4fYpsIPDSxpkDMdQHC6WWSyVWEs3fMyT1mM14Oh+l7XlL5muC50dB2vU6ze5F1tZvOVcGHv05dDOagx6y6SMBwS2qEWNrpBSIC7em5icW6R0/ZcHMzVqkO/BBD4fp4ec5BG6LMtO8Qv3/JhnqscpxY02JpZx87MGBW/zmQpjUDQ39PENFVcY+naVFsJZowE/+rJL1D22ljSYO/AOv7JrtvodZIrx1ku8+KLLzI4OMju3bt55plnUEoxliswliusOacfv+lOmkHAkdIii+0mhpCsz+S5e3gDJbdNXzIOkkoZB1DTls2/2HM3H955G9//6J8wWa8RhXRpvitKPHFgekM6x8a0Sa8fsnN4gMBtY0iDmVqbb08vkBZVEqZFLQhRMsd969bh1OfIahAqxIp8bCFo+x5BGDLlJPHQDCRS1AOPrOWQ72R5HcNkYybP2XqV07UyOwv93fMcdvoYcfqY9YokpI3WmkbUZmNqmEH7YtvTCj0O6yLTZ2scmquiBbSiAMuUeEEEll5Z68RyxWt8DEWvDcB3ZqagU8q1jIxtU3FdnpudvqxTCrCFHv7blh/m2+5ZZtwyh86U8ecTDKd78AyXyg1HwAnpamdurKJODbE7tYH33rCdB6Of5PsXfwPdMuPDW673XZUhm2vWuXPdegY79mmqWsMNw67Og5SSVCpFKpVi/fr1DLfXse/Ur8dZ2wsKp5WOn9OEYdGOPBJGhBsIDCFIGQ5pw6YWujxfOcO7hm667Hl3x7tu619bXBc6eu1wNUblasa8UsPnmCZCCNwwwI8CMJbXqPihDQ3FvxnegLNzOydLRRbbTZ46cpZGzcOqQOiFnNRFHMvEkpJ+O8t7R1b6C1UrLfY9eYrUe6tYe2PFPjSIXETivVVEQlE/nCE7apHNJmg2Pb7w+Zhi+e5339yl8BSLRe644w4KhUL33I6VF/n6wln8KOK+4Y3cObAeIQQ3943wW/d/H/sWp/n67BleLE5zqDzL0RfnGU5m+Niuu7ij8161KuM241aJRIRRNtCrL58Go2pAIMhsMviBviEOVha4Y+sOGrUaURgx165zul5mLJ2nL5GkHfkURIJzjTKOLCEEJBIJpGPQJxU9vmRGtWn4baYWZrghNcC2VJZHgzJOau20TEqTeuTTioI1TmnK6GEseQcl/xyz3nFc3cAWGWpRGSeYpWCt9L9rRz5PVk5yyK8wP28RRgq/qYk0SEsglym7UeyYCgm2ZdCbSVENPJph0LUHF1KFRCeSHl3o1a2+hB1DcWN+lBvzo2it+aOJZ3nq3ASuH3Dy9qnYIY0HBA1BXlF9d8Db3xUbgbc8vJvftyTBct+fLn23I24gBJWFOuu3DhMVXOqjc9hpSXuwimxeOgL44MBt7Kuc4tn6EVZ7pX5ooJSBLeNWMACWsAiIe+IV/TaONLCleVEPvcvh9WCo/s5mSq/Td6/jdYzlAOi1DkIbhoHnXVmtmyXj2r1QRfhhiBJxD0i0RqCp+BEPhDfxg+NvZ5IFWqHHNxdPc75Rp+lbtEKIVBEpJHsKI0gheXP/ygY90orfOfosAkkh11517pBK+piGwWwpQybXJm8n8KKQr06fpuy1+aU73oohJefPn+f48ePs2LGDDRs2dJ2Lktfi8YnnWXAb7MgN8tDIdhzDZCCZ5lfufYhDxQWemZ/iickJ5lp1fvPgM/zxsf38wPguPrR9T/f6L2PRbeFFsZyuUPpiYSQtkFLwo+u3MFM/xdiG9RQSGc6fn8SPIp6dXUArwWg+hat9HMviVC3imblZFALHsTENi7ylcVRIWQiWPJep4jzbknnuzQ7xRH2BTDKx5h7ZMlaxbwb+Ba9b3JzbTr+7wNHGWRb9GrawqARtzrXn2ZQa7gouATxTPsMhVeLsoqAZKoJA40ZxAMI0JP4y1adTs2VIyUAyRSPwaYXxdwdKXVotQbCG/nwpaK0ZtHP82GBclvVVzvAHcy8yXa3hbpwEO+yOBYDUGFsW+NGN78aQkpxMc1N2M9+gHDsPy4IOqxyJoMOvVTKg4cxjp1q4qRG8cPiStn4o2c8/HPl+/njms51Nrl653UpiC0mkVroYGJ3ATD10caMAQwoifWXP7hvR1l9rpf3XFNfpu9ceqxtqx/SGazeJr9TwtcOAE6VFWoFPfXmRESt5J9uWPHLmGO81M/zLsU28deNmAA4Mb+ff//FXqLoepiHJOhZp0+LL3znOluE+9u5YiaA9/vgRmqJB8vaOQ7q8f9eABOdNDXJzJoVCHNFMJCyKxQZPPnmSe+7ZzLFjhwG45557SCTiBVwIwZfdRR7/+p93BQ3+4PgLvG10nF+/591Y0iBlWpiG5PmlKYQQrE/nidDMtur890NP8V/ufFc3eroM0RaI4xK7BqEDUZwM60K2JbWyz+9Fx/gnO/cyH3n4gUcUhcyW2kgESoRMtcsdimpcZ7PQboOhmPfr9FpJMjJB22qTFSZbsgXu7u9jOMjTLEUUqxWeqBQxTYuCk2Jjrodm5DOUyJK31howgKRRADENwiZnrMMUNo2oRLNdZhO3dR3Tc60l9lWnWIx8vEhCRCx1D2iDuA5Yg7Zj/87QAtsycVVIwjDZnR8kYzhsTw+xr3qOjOF053AlbJE2HHZnX16oavViJ4TgH/zg7QwNZPnLMy+gzIszlQiorHNpKI8c8fy45Z4tPPfZUmcOLX9Go/0A4diEQUTlhknCt8d9xUIh+MTS77BFbuNecXHdsiEkP7PtgzyzeILPn3+B4/45moQYWKRsE6UUoQ7RWlDzFRLRccIVrUhhSYONV5AlvdbP+KvFq6kz6e/vf+U3Xsd1XMcr4loHoa/U1mutOVKbwA0DXO11k4Kxqi6AwaHqIgaSj5g3cetAXCryrqE2//zZP2c+WEQKSdp0yFoOhytzfPLMC3x4693d73hucYq/mTpJJn1pJ9m2IzxLMZKK6Y8p08IxTA6X5zlYnMNeKDM/P8/tt99O7yoxvsN+md879BSBVjGVVit+98RT/ME9H2Q4mcOQkvWZHL/24nmqvsdIKoMhBSW3zZ+eOMhQKs3efP8aW28KSdOLXta5UqHm144e4MM37IS0yZJXp4nHofIMTT9iKJ1i1i9135+0JJW2RzphMtvyGE4nSBspfKNM0rbYls3w8Ngg60SaQsOmUatyaGkW2zRJ2w7rswXStk3atBlMXhwITBg2SSOBxqDXypMxknjKZ3/tFK4KuCG7CYBK0OLbSxPM6RbNyCbSAj9aVtIH2zQJlIgpsR1GlCVjyyaF4IaeuLzpjpFR9i/M40cRdse5ccMQKQS3DA5f9rotY7W9f3DbJhzT5LNHD3MoHau8XuT6GIqXWme5jXUA/MyOd/DVo38Wx6ojEXdvWK6z6ZiwEouodSdARpgIPlf9G55ufYeH5Y2XPKa39t/FtvQmPj35DU60zuCKClJIEqYJWhMQIRDUPEmgQiRxuY6nA2Qk2ZIauuS4F+LV9Ai91ni19N3r+N7ie17Ru7qv6LUc85XGC5XiY1/6HL/x/HOEq8WMutEzKBQcfBXxottYk1GcL9VJS4ubNwxx0/ohdg73MzZQwAtCvrb/9MpQWrNv3zmM0SC+0hcmlBRga4yBtb9Ipx1q1RZf++pTZDIZ7rzzzq5DCvDc0jSP+kuxyl5nURUCnpiZ4FOnD3bf9/j0KXwVMZTMYEiJLQ3WpfMU3RZPzp9dEz394lNH+M3feRJzCpwqpBcgucQaR0kAsm1QUQEHqvPcM7gBxzAwtWRztgfbELSjgJyVIGsmyFvJ2JDIBG8d2kZKpmiHgvmgwXzgMZbO8/DoOAOpHPVsi7N5RdMyqYiIauRxvlnimzOnmC4X2UkGv+12Wuws8GdnDvL7J57lc5MHOdU4Q8rIkzZ6cGSanDmIRrMYnEF3snjn2yWKfougo6TbrkGoBBGaUGgaYyHaWD5JiAxNNfKo+R73DY6xviO8cGt+M2jByeYCU+0ys26FUCveM3wTg5epbVmeCxfCtk3e9dbd3HPn2Mp1Fhf8AU6dm+t+5l//+t9HK4Vent/L7/N9dLOFNe4TvWM+nhdSdJ/w0+okR43Dlzw2IQR3D+7gl/f+A37j1n/GUKIPLWJxiRBFykxAmO1mhBUrPf6iKGT/5GmCILjsua8+/+uG6jWCvoZ/ruM6XiO8FvTdKxnvkanH+G+n/piWWnEYY3EX0AgilcaRDkc6GdJlFL0mkdbszA1xU2GUGwojbMr0kbEcvrFwmlrgdt+7rziD0hrTUCvP0rKoTue5su21x5oyLYIo4qmD+6lWq9xzzz1rHNJW6PPx6hF8FXUDggaS6VaV/3Tw0e77npo9z2K7yfpMFtuIs1wDyTSRVnzl/Ok1rKjDpQX+4WN/QcMLuvZumaWzYnri/zyt+MK5aW7IjlMw06BhxOkjaTi4kUdS2mTNJFkzScZMYhoWD45uZjTZQ9uzWGi7zAU+GSvBu8Y2M57vp5H0OZsPqCct6kJTjgLmWg2emTvPc1Pn2KBNMkGEUoqZZp3PnznB7770PJ8+eZhvzZ9EKcWQ00PaTNBr58ibGc635+P6XmDOrTHplgk1SEPTbmvCEKIQtILACNGrlO814EYh8+0GQ8k0bx2Okw97+gfI2w4TlQpnKmWm63WK7Ta3D41w38tQd2GFGdWda0Jw3/gGfuLBvd3rfCmcr5a7/16f7kGYEJkaqUAokCFxn/sQhFCo9ScRMurM5TidUgyqfDN1aVsPsCE5xP++/e/zWzf9FLfmd2IIQUREJOJ66pQYwVdWvD9Ex0wpDVoJnp86RbvdvuzYy3ijBqDfELYe/k7b+tcFfRdiRT7LunzPrqsd85UM1SMvvsALM3PxfZGgrPihR4M2NEZK0FA+PWaSchCs2czOletEaBzLXEPlTNgms8X6mu9RkSIpnZW2oKuxrHIamt1ekADVagPfd9m5ayu7dm29iE7whfPH4npHRPd3hoYAxWfOHOYfbbsVgPl2A+eCDfjy8Za9NiKVpxp6vHBmit965CnCSCEkdBgcWG2IauDn45+XTyHSiheXZvnF23oIc0N8a36SqVqVmWaTdGCRNGwShkmg4nqakXSatwxu5faejXxr8QRHVZVR2cMDY+PkOkqo++bn+fy5ObQSONLC1yGWYZCUJsNOnlHX4LnnnuOobnJQNJGWRTqRYH+5SdKq8/fGcgyv0hhyZIZ2VCfUPpZI4EcRgdK0WvGJSKOjFRRBkFJ42QgrNIiEQkndpfFqC47VFjhWXeTJ4mkenz9OOzIIkVQjn7FUD/900/3c2TN+iRu8gpfr57k7uw4qXHKRMNuS4f78ynk5DsmMQ2uh3NE8EGvqQ1L3WUjpsFr0HWJH8oQ8+rLHCDCa6OH3bvoI3yod5XxribSRZKoS8JnyASyW+7XFLYVS0iTUIfvOn6J2eopcLtdV9c1ms2vOd/l5fD0Yqqt1SrPZVxZ2+J7jOn33Ol7HeC3pu6803mxlns/OPI7qpJpiBg90mLu0wxRaC7K2oEFEzW91Pzvv1mmGHj2pAuYq4Z2UaVMPXEpei1yHwRMqRdp0cHXHtK9+ljr/tqK1yt8N16XdatHXk+auu+66aG365sIEbR1isNJeZjlb+vTiWYpekz4nTalTB3lhm5qkYTLfbiClpK1CJutVfubpr7Dktrpspi4uETjXwJLbYqEesDe7nRPNBY4vtphrNvFUwPaCRU/SQGtNzQsZSDncODDAmwZ38c25CZ5dPEm/SvK2LZsYzcQb/iAw+cOjh6h6ESnLpB1GRBLSRpIey+bmZJ5Dhw4x7bf5dtCiJTX5ZIrDKqKu6ty7boihVaSptJFg1ivSiNpkzCSRViilqIcRnm8ipIw7H6BRkSYwFVJIhIZIqO69UVpT9Twem5mgR6b43f0vUPFdpIRmEGBKg39y4828b9sOnFdQlr1UEBpgONGDoUwieWm2wKi5lpXztpHNfH16ElntdObrfExJSGxoI4yw44wuS3LFzYemjSJFv0qfnb/wK7qwpcVPbvxHHGmc5mjjNIYwUUGej5/5DkpbWIZGGnHbGQuLdiA5VZnjO9/5DslksmvrC4XCRfP29eKUOs6lRUMvhTdMqQ5cp+++FljpOyn+Vg2V1ppTp07xl0cOd+9JvLmPaZzLiLTCbUeUA5chy0EpRcsL+ItnD/P5wyeYCZrUFgNGsxn6E8m4LtULWbdpJVsmhODGm9Yz/0SFRnUOkY9WBAU6AgvhpE3xpEdqk0fCsVhcLFOttnjooRvYvXvbJc+h5nudUoiYgxRpTaRikfvjpSV+9dtP8hN772I818vJanGNQxQqhRDgSIPfOrefQ5V51LcP4QYBliVX6CGdKK/dXOWUGqCS8fc0fJ8z1QqfnTvDZKPG+OAQPbbDgtviULDIYCqFISRjmTxjuRxSSm7qGaGQiOijSDpIdh3SZhjw7EIZNwoZS/XGRlcpKkGbESdHKpVmfPdO/DDkyy99E9szSLZDokaVfEJw3nV5em6eH9w8tnKe2scUNlLEU3zYyWMJA78ucEywB8FvaVSLWJFulY6AUbaQTblcpsn5Sov/ZjxJWVZIGjb9dhqtNYtLbWaLIc/as3xz4Txlv8W27AAPD21nfaoAQBBFvDg9x8m5BRZLdXY3W/Sn1yr03jI0Rv9zKZaGWlyIXacGGH/rWsrM3W+/ka/+yTeXZ9lyuB/QyLy4jAOs8biYVqa15txchcNn4uzqnvFhxoYKPDxwEyW3zb999nFO1JYILY1WmkjFhkai8YjrTLZv285d+XVdlb/JyUmEEPT29nYN1+slU3q14gdvmJYw13EdbwBca7V9wzDWsJguxMLCAp858kXCdETXC11W0+1uAAIsI6KliyRMhxQWWmsemzvGI+f3seTXqQRNBp0sw8k8UkiaoU/KtOlzVtaGm3qHeXz6FPWKg124YK0VgBIEZ22KO1sU7ATVdpOpWpkdhQF+6M57L7ku1Xx3zc8KTaiW1Qs0P/v8F/g/bn57t4VKoKKuaq3WmmYYsKdviP91aj9frJ0n+sY8k7UajjS6+57VLJ1lBszq4w5UyGSzxOmleZ5tVtjek2NdJs3xcokjxTJDqSS2YdCXSrBnKI0UgrFsnnc546QTRWpT5a5DqrXm2fkiJc9jIJElYzlESlH2XQqWQ08iRc/YOvYUBvnNfd+mtdSgLxKE5RoZ22RJ+zw7NceOnj4SHSFIX4eYwsDu2PqcmaBgpfC8MpGCdFYTBuB5EGiBEiunLbRYszcvum1+/9jz5PwUrSBgLJdDiLgP6Lzb4IXiDOWGx9lyhcF0igfHN3HL8FA36HJyqcSRuUVOLlbIl2vceEFwViLYpbZzSB656F47jRwPb1/bVu4nb7yHp56YwnJjp3QZGrCFflm/ohm16WOtU7rUbvHM7AzNwGdLoYebB4bYk93GrvQWfu3It3hi7iXaMkILRcLyMI2o4+gG2I6gty/HA5seoFwuUywWOX78OL7vd9vO9Pb2kkqlXhdO6asROnrDOKV/h/E9z5TCta8zuZxMvO/7HDx4kFarRSafRzebXPRYd37UbUGAJvQDDhLyRwcP0FgMeOrkeRKmgWMa1HyPdjkgyETIEBKOyVtv27pmuLc9dAPHjs7y4p/1kPzHJUSiI0ojQVUNWp/vw1SaVtNjdqaIZUsefPAGPvih+y57frf2j/Lo1Mm4To/Y0ewiFPzpoYOcr1X5V3fdyTPzk0w2K/Q6aZRWlLwWI6kc35g/y7lqkSQCGcRRQq+TIjUMEfe6FJ3sMaBM0CmFTsV1hYaW/OHhFzhVWyKHgRdF3FAYJNUsUWp79FgJbukfJGebJCyLHjNWF0wZKaSQhKzcn6lGg3oQG/llYqgpJUnDZslvMprKYkmDCbeMKzVbBkeRQBAEtNotMu0qhxam2eo3GMj34mRMSLj02jdS9QOShmYs3csmu59TwRSRESENgZWTkJcYpiSQioRp0K4IZGPtYhq1Yd+xJQY3CNpTERPzFaJoOZih+eShoyQGBIUxkyOpeb5dPMfP7niQQSvLf//mMxyeWyQIQzzP48iXvspH776NvRvi+tPZmQp//IdPMXA+h7vFp3lriE6AXZFsOdnLv3nPu7oqzMtIFZzliQ6mGTulYdwCxjukSD+kkcZqTV6NQDIi1ta8aq359BMHeey5k7h+/PwlbIt33LUNa9TmD46+yHRYxREmjmHRVMsU3Y63ruOp/Pmp47x5aAujo6OMjo6ilKJWq1EqlZiamuLo0aNdx65arZLP579nButqKT2NRuMNkim9rr57Ha9//G0FoJeDz2fPnmVg4xCiemRtVrADgSbjeJ2V0kU7kj+vfZk9M/fxxxPPAZA1HapBm2m3gqtCClaKdujz7tHdZK2VTMw9g2PcMbCevz5SwxRlZD5c8fKUIHguh6hI9E7NqdICOgy5dXAdP733LTjmpVlit/Su62a/QBOoiNVblueLk3z46U/zR/f9MOP5Hk5VSvQ6CUwpKbpt0qZFPXJ5+vxZlI5wiJ0nN4qV9A0hXrau1BQCKeC5yikWKgGR4ePRZlM+jzQDZmoetiG5Z6Sf9fkUyvDpNeP1Mm0kSUqHRbFS2lELAqYadZKmhexcdUNKCnaCRuCRVQ62NCh7LguBx6b+AXK2QxRFtNtt+hsBZ2oVnjx8kB29/SQySdpOxPrkAELF7VGGEjn25Nfz7WiOUGiUVJiOwHQEUhgUPYVjmLhRcJFTp7RmqlGjl4hkUrI/LBLKzvEn4PF6Fbts0uvlMYsWz07P8GO33szbt2zmT55/icdPnMENA1qtFge+8Szv2bOdD916A0IIWn7A737reWbOC0KnDzFaQSYiRCRJ1/r4xxseZKx3rRM5ls9h+gJDaUSokWG8RCsLwoV47l0YSNBoHCyGnb41Yz09PcVv7X+OsusiAFNKbhsa5q2bN/JHp/ezvzKNEIKck8BMNjGNCKWX2XWxGNj+xjF88SADAwMMDAygtabVanUD0qdPn8ayLMIwpFarUSgUvmf9Sq+WFfWGCkBfV999bbAcXXot6kx8f616W61W48UXXySbzXLPPfdw5uhhvjMz87LjSKFJWjbtKOC/v/RcrKKXs9hs5Nma6GN6sUal1Wa6UefmgSF+6IE93Lp1ZeP/Qvkkf7X0FGe/b47wlEf1S31YToTsjfCqFq1zKQxPYKF44IFeEKMU+oZpuAFfffI4N+wcZWxdz0VZrx/atJv/efDbVHS41iEFEoGFBr51/hw/ftsd/PRND/Cnp/Yz2awgENzev57RVIY/OX2AIAypakU248SRQwVaanRHDl4o8FMQZTUqpVAZ1aWKSF9yvFIkYUgC3+fo3BS9iSS5hE3binBMg5QTS4rvSg+RIL4nWZGmVxSY1jNUwxpCS47V5gkikFpS9Fr0O3G0VaNpRyE3FAZJmzaGEN3XERLLtsnbNoM2tMMSuSFBvb3AwqzPdDXNfHQU3zxFPpXijuEN7M4O83VjhjACX2ksCT1W3L6mIULCCETNuEAtPa7LVC1B5QXQob/yLK+iULhzMDcf4iQl7S1VfrH9OOU5TbHZZthOM5JK06wpqm2PP3jmRbYP9JGxbT79Z88yNVVmdLiX9c1eip+pUKw22TzWz7/5t+8m33vxIjmx/zwYJjKdAseOHcQghDCk/qUm+R/RGMOyG3BZrg+6lb1rxnnh+DRf/s5xbMtguDeOEFabHn+4/wDBpKCabCM6WeugBSRWwupax0qJCcPihdIM826DoUQ8hpSSQqFAoVBgfHwc3/eZnZ3l9OnTHDp0CKVUN4va29tLMpnkbwPLYktXaqi01t2G2q93CA3i5cLmVzHOdVzHtcZqYcPXWuhodfD57rvvxrVDPnvw61zMV9MY3dpCgS0slI446J3iwMwE0jHJyCH6E4NMNesUvSZFv0HOSvIDG27iQxtv7Y401V7iz6e+xfHwND27W7gnHfxjaYxcgGyAPGZjhpIwF/GuqI8gm6VvbAMtofjmzFl2FPq5pX8E84KA2fbcAHemhni2NR87pPGhxtcSA4lkyW3y6Mxx/v3eN/GJI/s4uDSPFwZsyhV4YN0Y//PY8zR8D1+FJLx2d9+lNbGtX+Ya67WujRQChCad1ZxtlDCjFCkpmFiYImMnSSUc+jIRAkVfXqIMn42JQXplFt/3MYRg1BzgFBMU/QqOtDlRLVILAhxpUfFdTGl0RYSaYUCfk2JLtpdG4CMF3UCCYRhkMhk2JhxaFYOewRQV3cZdKtGuaw4HNf5KnCeVTLB7cIgdvSNkpElRaUKlMQRkTJuCmaDhRyit6IgOd7GszaHQ1KwGVa1BRKuSybGGR2AHzNtLmBhk2xl+55nn+dPnDnKuVCXr2Gws5GiFAUjBFw6fZNdQP7esG+aLh07w7Nlp+jMphq2tlCZbzDXqpC2HX3j3m7lx9GIRISklhq+w6xrD1zHTToIyBUFk0jqfJruxhWJZBSm293eG27HlSqCj5Lb57f3PU/M8RjNZpBC0g4BvzJ7j66UJfBHEwWsNNTdkKBN1WyEprTGlJGMkaEUuL1RO8kDfnvi7hCCdTpNOp9mwYQNRFFGpVDh06BBzc3OcO3eOXC5HX18ffX19ZDKZvzV121cTgH6jZEqvhb1/vdr6102m9LWMnk5PT3PkyBHGx8cZHx9HCMGHdu/h1559miBcdWcuWKGUhLr21lylpgg4rJbYYhXYvr6fpVoTP1L8/I88yHDPSkbl0fkX+M3Tn11hCG2IYH1A++kMrRMFtCnQWSALbqiRmTyzcyFffe4AYRQ7mo998xjvfXgPb3tg55rzy9kJ/veebXxJ1Pnm4nkAZCSxPQupJFpoAqV4aXGBD+3ewy19I/z56Zf4xtwZTlWLPDp9kmbok+hQeGp9PqmMgWzQzX4JDZjg3uChchqtJIYW9MgUIpBEOm407VgW6weHWGrWmXQbJFxFPYqoak22d5h71m1nOB23sVEqrvUY9HrRKkKHgm8vLHCmHOBGAq0jfBXhqRpp06IVhmzP9fHO0bj353iml147xUyrzvpUruMwRVT9gDcP3cidQyNEOuBIqcF3WhMEyiNstzhTWuLJyTOkLIuepEmzaYCKE41hAAVs7uxfz/OTc3Bh1FiDjsBqgQ40urvGrV5YRfe9flvhHdZUdxXBTaCBubBJU/mMCJPhbJqZWoMDM/OMyTRTk2V6e9NYVmyYBzf0ke7J0A5CvPDSz0SmP40s5BCpZGxFARIOOgyhpin9lOLhz9/CofoBFIqxxCZucm9jyBhZM84zRyYJI8VAIXZ8I60IHM2S7ZEMTJyMQaQVlpT4opsa7s5pT8XUHtswqAde1ym9ELZt09vby7lz57j//vtpNBoUi0Xm5uY4ceIEyWSyS/25VH3KtcLymvB3sqb0Oq7jDYDX2tZfGHy2LIssMOQMMuPOrfqkxli1KxMCfO2vbAGEQhDQZJpA1Nic2cloMsdkq8yHt9zF20dWaJZnm/P89EufoB15sROV1Dh7fMxZB+MzWWSwzDhS6Irm+adnuftHbuRT547QCmKxIUtI7hke4yduvBvbWLst++eDN7Ohfo7PFI/H9bACDIxuCxStNIcqc3x42538H3e+ha9PneHzZ48z3azxe0eeZdFt4XQ2576OkCLWBYgpzCtOuTQ12tCIKFaiz6UkhYxA2S5CGQRaMdQ3iBt4zLhFqvUmrSAiaRtEDY9bR/cwlh8BpbsBwN4wy4ZwgLRIcKhc5MWFGm4AngoII8VMq0bWdPB0RN5K8CNbbsQ2DHpkgi35XvYtzpG1bIxOp4DZVpNdhWE+ML6HkJBK2+evjp2kVK1hBQGna2Wem57EciQZyySwBZHSGBZxtjqQ3F4Y5VBzkXZ0sWCP0iAMUDJmtAm5yiG9wL8JiSgnq1SaHrVakkgp6p7PyWKZfkMynEwwXWvw3PkZbhwZ5FunJ0lYJik7dhb7M2l6UklmKnVKTffCQ+nCrins5gXZUF+D0pSe6ueH79jEE8VnaUcuvVaet6X3MrywNpj97OwMJbfNSCYTB/a1JtARdVwiXzGYSeIFQdyFoCOuYhkKKRSxEJikHXlYUlIPLy90ZBgGfX19SCm58cYbMU2TUqlEqVTi3LlzSCm7tr63txfbti871neLV6MfMTg4+Jodz3VcGV4XTulrVWeilOLYsWPMzs5y6623rmnt4Jgmm4ZynJqvQERXIa9rlGQnSnfBQiQ6XIkzqsoGkQMhKKQTFDIr2R4vCvhf574SR5iEEUcmRbyImXc3UaUsoRRokw5FVvBfHjvAzbLAQF+GRCKuaSmWm3zhsUPs2DLE+tGe7vjfnpvkj8pTTIceshqLLTmrDNnyOfR0FHs/e/YIn554CYjPqRX6aGLDYQqBaVk0b/WxTgns+fiEw4LC3RZg9kksJfFRIDS6BV4U4ZgmBdvBVSFzbhNfREjTJGknyAJjyQSn5+awJ6sM5Xvo7++nt7eXqakpauUad+y5ndN+nblGkS3pQbJmk3OtCp6K8FRcI3JToZ9/seNu8naCktem4rW5f3AjX5ub4GS92F2kt2X7eHB4C1kzRagU+5YmsS2LQiLFkdIioePg+22KbosRw2I4bdBsa0JPIA3Ys2GI79u1g3929ks0CFZdwVXqeReJy146zKQ7YVVj0USmDYQUCCmoRwEZoK+T6XWDEFcHhGHUdUiXYVoGrbaP2760ou3gplH0/kVUOgGOBUohWj7CBZFNc/udW/jR0Q8T6pBIRzjS4dixYxdFKJttvyt8VQ98zjfrNIyQ0NG0vICEFwtwKa3Rcllzd9XZa4Ebxc/t+tTlBRVgRfhACEE2myWbzbJp0ybCMOzWpxw7dowgCC6qT7lWkdXl2rO/k5Se60JH1/EGwNX0Fb3S8Zad0ksFn5dxc+4GpttLCBECGlNe0INSXzj1l3+S+NTxqaCJayDXJdeudX8y+TVakYeBxJACQ2s8FWCMeMhRG+O4gQgUQsX24eR35pi6QZDqd9icKyCEoBn4PDl3jj29Q7xzbEVLYrJZ5g+LR9jfXgBEh6FirpRmaI0UMf0V4GBxjt878hxVzyVl2pR9F4Um0hpbCGxpoA2NS8jq9tLCUBiGJGka+Cok0mAlwUVhRNCbsKkFMN1sYFsR0jKwrSSOLdmStSm36rzw4ovMOufo7+9nYGCAVqvFqZMnuX3rTViJHF+uFMkbWfb25TlaW6IdhDQjHwRsTOf5kfEb2dM7RCsMmGs3uLl/iMV2k4lameWM3UAyxfdt3sFgIr4HB2dPUfY8tvQPcKi0SEvZCAPm2m16AsGoY9AQ4AaghGCkJ8O/uPFu/uMLX6Xity+KQUMcrL4IlzBBokOF1gUfu5UBAxzToB2GVJViWNCl7YZKxbodlxCe1EDbv7Stb7Z9Eg2N8BVGEIsyKUugbAPLFcjQ4EOj7+DvjzyMpwIS0mZxcZFz4tyacVph0BFaFvgq4lyjQiP08cyYYl53fYQR08QTZkTC8jFWYu2YMiKINK6SbEgMXPJYV2PZ3ieTSdatW8e6detQSlGtVimVSkxOTnLkyBGy2WzX1uc62iPXCq+mpvQNYevhutDRa4XXuqH2s88+i1KKe+6555IUvPvWjbHgNWl5AUGdi32RSyxEERpTCyKhmfHrSF/wzpu3kbBWLuXp5iyNsI0h5CrakiT0IjA1YsQjrCVRJmABWhCmYaJWY0Oip3tt+nrSTM6UOXxituuUfuX8KX76yb8h6ggWYQhUpPGiEMeIe75GWtOTSPKmDRup+i6fO3cMWxoMJjNMNaux4I+O8LRCaglaE9gR3i7N8C0pKqGLZRoYOj6njOWwFLXQSlP1fJSO1eiUVPSkEnhhQDWINxpCCnb2DrCzp5dK2GYsv45+X7KwsMDp07E0/eDgIGEYcqpejp36RIqsnSBt2sy5DRbcBruzA3xs+530J9L89blj7C/O0Qx9kqbFWLqHu/szhFoxlMywpzBE2lwWTfJZbLfQWvNScQFfRQyk0mihCVE0PIVl2yRDjY4iDCdiQLY4MzUJmlgNMAgvel6FBJToiN2+zNMsYlqU0TZJFWyqrkdSmjEVmTiSmrQstvT30G8lyGQcajWX3lU03VqtTT6fZGjo0i1mXnj+POFgHp2xUEIgwwiZsJFND1lpcP//x95/h0mWnHW++CfimPSmfFe193a8n9HIjNHIIBBaSSCE2QVkFsFFmIUf9+5d2L1iQVqWZcXCIi0grDAS8l4jN95197T31dWmumx6e0xE/P44mVlV7WZG6mFGevp9np6pysw6GRkZJ954zff7fesd0ZoTNnaH/MEYc8GGv3nVEM8eO4cXhpyqV/G1wpEC0cGRBFWN02fhWQHmPCmDqOMrytC0w5DxWpFt+UtnGS9FfGDb9gX4lEKh0MOndKusAwMD9PX1fU/4FKUUQojnHeR223evVkqv2lW7MvZiScIcOHCA6enpC5LPXduUWcm35rO0lYcRjUUtmQt4uQsc/iISoKYpU/UMmzPL2JxdqlH5TOl49PJF7LgSiTEascpD7nYRoUJo07tk6y8mWfmftvf+JuW4FNpNHp8+3QtKzzbL/PRjH6fsNXtnUEMkXxKTFoKIhVcIeNPKSFf1M+OHqXgeqzN5qoGHJQS2kARGIxDYxmDQGGnI2jZh5yNbUhJoRdqJUfBCVIdNF2kwRhOEDfpjLlZoU2h7KG2wXcO6XJbty4YwlsdYrJ9NZoj5+Xn27NmDUopcLodlWZysl6ipgHXpPAJwpMW5Zo2ZdoOM4/JLW2/l2r4RHp89w3emJih5bWwpWRZPc9+qdRgNGdflmoFhhhILvvJsrYZBcLg0z1yzyVAySTO0aKhIMaEoLTKuhQxCXBT9qoGZnWO2WSdpuTSVv+TYd34772Wt+4VYmr5EjCkv0h+1hKSlQsKONurm4QFits36wX52npkin1jQOG/4ATHbYvVA/qJv8ZVvHsSqB1ieQiiDkQLpC3RgCFM2m/J9nTUnSVgdjOlFfP2GfD+OZdEIfGa9BrXQx+5AsYSAVqhwhERLTX9+HnvRh+/Oi2OFtEOHp8rHuSa35rJTczF/L6Wkr6+Pvr4+1q9fj+/7FAoFisUi+/btwxhDX19fL0hdLIP43dh3gym96utfentZVEqvNNFRq9WiUqkwNjbGtm3bLrkw377hGp6eneSEVyTotMXAc+N/tR1iYppjcobUgM3XzUEOPHuG7blRfmj59h773WIzZuHmVrZAJ+hog3UynjZM9+tecAn0DtBBEDlxbQx/sPtRlDGRtJiQkICgadA6atlVWiOMYMCL87lnD7NpzQAVv81wp7XS7gTKCWHT0iE+mjD00cbgSovVuQGa1Rm8TgUsMDrCsgiD9C2wokywVoZKyyM0ihX5NP3xOJYUxB2L47UCp5tl4pbFtuwIG/tGmJiYYGBggBUrVnC2MM3uEwfYX5qhainqOCSTSVak8yxP5ThRLXJNbhnLYim+fPY435yeYDCeZHkqQzMMOVCeI+8meOvabRfM89l6lePVAvPtFnXfJ2k7C8LXgSJsasqmSk65xLBBSeZChw1CILQGbYhZEk8tpJGFFMTHDN4ZOhn1SywQGT0vgFQ8xrJMmqYf0AwDFIZ2qKm2Pe7ZuJa1/VGG/JWv3syXv7CXmZkq8bhDq+VjWZLX3LuVWPzi5BfTQqI2S5wb6rgDAbps4+9KYh2NIVsea7Ytv3DNan1BMHb3dWt4ZO8ER2cLtAmxhUR5GkdLlGsQ2uBUJPFlgjYXZ2bsBqZfnzr+nEHpczmIxfiUVatW9fAp3QC11WqRy+V6QeoLxad0MSbP92983ycMw+8bnMlVu2ovV+tJl13hBHT33FAuly+ZfAa4Jb+FhzLPsr86jumw93V1lxdDEhaNGABjNAoIzTxurERgt/kfJz7OsvgA9wzexPLE8AUyLIYOL4MB2iD9cAl+SwBOOaD6+Dy5OxeqTpaUvc4TgL8+8TQVvxXpk4qo48YzCmUgNJHcmsGQt5N8a2qcsXiWw6U5sq4bqRoIGf2zZMcHQUsFBFohJWzoH2K6VafQbqK1ItCa2WYUAAshEKEEqUEKyi2NF7ZZk7UZigmkSWC0y6zf5MEzp0k5FreOSO5YuYWpqSkcx2HHjh0UaiWOnBtnb2GOkmpQCaM9fjCRYiiZYqZZxxaSzel+9ham+czJQ9hSMppIExjFyUYJhebdW24meR4ZVKHd4nB5nkPFeeph1PVje5KYFPhaU1Uhuh6SiFmkYjZKGHKOQwvNgLA55fukLJumUYv4FyCt4zStVofMT10QnXb9oAGQYBuL4VSaatOn4QdoY5DGcK5WY8vwIHetXQnAD12zkWNzRc6UqmTiLn6o8ELFnetWsnlkKSlR1x7/xmHs0MPc5aPXK/AEcreNOBrHsgSD6QvX+8V8/Y7BIW5ZNsZ3zp6iFLSRotPWLCVGRveDHxhW5A0x+8L7s3s1S2h2V48D9110vN33v1hgfL65rsvo6Cijo6MYY6jVahQKBaampjhy5AjJZLLn67vJjRdiP7Ca5D/g9rIISq9U9tQYw6lTp5iYmCAWi7Fjx47LHkDXZPI8sGwTfzL5FMJElPFSRhIrS6RRFmeNXAXxCPxuO9C2Wuwun2FPRfD1qSP8w8RO/vetb2ck1seMV0SYiH88CMOoJdiXtBtxcMSF5XMLHlWz3GNFZEnNlo9tS9auijK/Z+sVzjWqWCKKBULdGWccjDLIJthNieUJJk2V//61R7l1/QrsfomvVYTViCU427TwVUgMSR82RkoKpk3OjWMJybJ4lhP1+Yjxz0BgDLotEQEYO+ywCUb/aloxUVPEHMFQMsWwkyRpOzTDgLONKo+fnSConmJ0dJQV61dzoHqKk+kaKmkzlOvj1NQ85UadYrGIZdnY8RiBUGzIDdDGsKc0S38sQV+nPSljO+hYgn3FaV45sorh5ELAMN9u8oXTx3ClhS0ikqVAKaabNVpBSLutMCFYtqGJQloSF8lEpcXbrr+e19WafPHIcRwBriXxQ4UWsGkwS2m4guvZ1GajA8b5iQspQErRY+XNDSZIx1zWD/QxUanQDgLGnDg/eet13L9pobXsvtduJ5OJ8+jDxyiVmqxeM8Ddr9rE+mtH+IvxJ3m6eIak5fDA6BbuG9lItdLCv1aTevM8yOj7t1Z4ODsatD/fh/lmjMHR/EXvjfOdRH82ya+9424+8OAXELlT2HkfAov4bJbp2RRGiE5CImotulwo514kEbPYvhuK+C4+ZWAgctitVqvH8nfq1Cksy1pCmPRc+JTvxkkB3xdBqeAKER1975e4alftknYlE9DFYpFnn30WgBtvvPGyhGkxy+GNI7dwqjlOvScaHnVqXbjouwEpKLrVT4lvNOPNc4w3z+EImy/PPM771/8Yrxm6hi9OPxMFI709s0PQs09c8r4sfmayF5SGWtMOQ64fXKjCPjp3shcgKhNh+yxLgDZR9VMZhJFUfZ+/Pr6TByePMWzlKXvRfp2yHVKOS9Vv4wpJBokrJEVLgBQkLIexRIZCu9lj3scAvgRfRnqr0or8TCxEKcMJ1SRuWWQtycpUknw8knQ5Va+we6bA2NSTpGyHm2+9hVP+LEfDIvVliv7BfuwJj3mvQb1WwwDxeJwZQu5dtYFUIsHuUzMoY1iVzHSgRTarkzlO1SscLs1x49ACiaTSms+OH6ERBiRsm0YYgDEUWk2UMTSDEEVUHfa1wtIQt2xm2h7VXJL33Hgn//mZ76C0Jiui1wTAoBMnGcZpGZs5UcOYBfFWIRbIkCwkutMV1dfK4EjJhsF+zpSrFJstcpbND2/byA9fu5VMPKpgbh8d5lfuuY0v7T/O8bki/akYr9qwmtduW8c35/fxUOEgng65Ob+O1w/fSNqOc+b0OfT7G5BfOJPqa0J4KkR+Mc0b770wMX8xSTgpBL928+1YTptH60+STjcBQbORZrKYxlcd2JZdYXHafSFUXxyYXt6Pfzfyb0IIstks2WyWtWvXEgRBD9Zz6NAhgiCgr6+vF6QmEonnTC6/UKKj7ydJmCvh71+uvv4lb9+FK5M9DcOQ/fv3UyqV2LRpU08r8ZKv15qf/tyn2TMzg9aLsHKLglCBwCizaJYMIhaNM+XY+NYCOL2LH51t1/jw4e/w/g0/yu8c+ls8HXQ0RA3CCOp7+qIIZslEGEgpcDQFL2R6qooJI+3Rm69bzZaNEStb3IoyhcqYDiud6ehsmUhj1TMkAgfRAQOEWvPUibPc2DfKqXYJV2aJWTYrkjmO1+aRxtAQihCNJSRlv8WJaqHXfmQBOjRYZxxELUL8G8fg92tUNtokjQYbQVsril6LsVSakt+mrULywubQ2TPct/12Nq7bwOfO7ubbkxM0A4MlLPIxm0zKoaQgn8nT9n1qrSbLtU1x/1Gezp6j2KixIt+HbdloE2XgUpZLqV2h1GrQ58R61a9DpTkK7Sa3Di3nSKXA3sIMbRUSKIUKDVYg0BZYRmK0pmlChtM5qi2fU6Uqb9ixgbLfZufZaQKlScZtbl02zH2j/fxJcRdBX4vESTtCnRqQCty8BTGbdhBhM7Jxl62bh5mkzplaFQOMZTO8ccUq1rV9bt+6VHtWSsEdd23g9jvXc7RYYF9pjlOyxe889XHmvHqHkh0emT/JI3Pj9O1J4L6xCNZ5O5KA+OvKpI4vlX1ZWNcX0y6Fs9ZZ5jccxulo3wlbk15dYFmuSXEug1aSQCww+51fLTUCXCG5e2TNRd+3d39cAd2yS+FTTp8+vQSfMjAwQCaTueD9XmhQWq/XEUJ8X7DvXrWr9v1gVyIB3U0+Hzt2jM2bN3Pw4IWaj+fbP01+kS9Mf7MTqNDZxDSCLkt5p7W2SwogBLqTeXSw8C/YbgWBDvmzk5/m97b9Is+WTzLZnkfpBcZYdsewJs4vs5mIKT0IMVJw6tgMzliSVhiwITfA/SsWJOUSloPuwHEWZ7AjIkOFI1xk5yyhjWGyVWX1YD8zTUXN90g7LquTeQ74M1HHkzC0OlXiUCsOlWbJxuJgDDFpEWiNaFuoRcIFRhvQArSNtgJsKQiUYd5vM5pMUws82sqn33WYmi0yP9LPK2+6iT2VU/zL6WeZbwYIJBnHIpu2qHlgp7MIpZhsNshpgTV+jmdKPuOtGRKO29u3jTEIE3FflNpNfN9HSomUklO1CicrJbYPDDGcSLFzeopiu4UBPBUiZRRKWjIqNLQCRZ+bxMJid2GKt6zextvWbeMrZ49TC3xcy2ZrKsdPDa3hX06c4GA1xElbeFYIHYiTlILBVJxK0MYQdZbdkFxJvQRnvBpCQMp1ePWG1Wzz67z6hu3EYguSQRAFpttHh5lv19lVOUloPP7riU+yq3KyE3Ma9lVP8dXZPbw//Ub8OyqQM4swhJ31dGuI2B9y83WrL1jrl6pSNnWdU+6TZLON3npKZyqsS9QpVlMoLYk53pLjaXdMXSZeg8UrBy4MhBdbl7vhe/H3juMwPDzM8PBwD0ZTLBaZn5/n+PHjxGKxXpvvxWA93y3T/tVK6UtvL4tK6feaPW00GuzevRvXdbnzzjtpNptMTExc9m/+z+6dPDszHVU8LUHYoaOLmGc7siPWQmBqHIOQC1nVtgnO50CKAk8heGTuJP/lujfwJ9f/El+eeopHDx9g/pRPaqKPRimA9dGrQYCrEaMtnFSAbUVtNYdW+tw+s5H7t2/lzpvXYXVu7uFkimv7l7Fr/lwEZejKowAosJqiF5BCV4MM1og+YjmL8WoxIj0IFZtFklV9fTw+d46+44L4WagRUllfpbVKIqVAGov4SQfViDRLESB9QWzGwpMKlY6IklzLxpKCVhhyqFTAkgIRalIKxvoGyAwNsnP+LH9/5BBeaBhKJIjZgsl6i6Rrsa0/T0JksIRgW98IN/aPoj2f0zNTmOIZjp05zVAsSTIZ/WugycTi9HewJd1DznSjQj1scq4dkotLrh8YZqJa5XStCtogpMRShqyMYbuSVhhEAasI+eMjT1Hwoyxr31CMt6/ayps3bGEoFQUk7TNJ/uh/PopoG9zuPmcE9qzh7hvHuPvOjQghuGHNKHHH5lAhaityhOSGkWUk/YDx8XGaXsCnnzjI/lMzONLiurXLuHP7Sv7owNN89fSJyKGkfax4iBQLWUmD4avTR3A0rEgs1arrVfVdw43vXHXBWq+FNWq6Sp780vVqDH916isoozqkFxEhF9KQ7mvRsiWhsXCBVstFG0m3K6331lrwQ6u2sD13eda6Ky2mfT4+xfO8Hsvf3r17L4pP+W6ID5LJ5EsuAv687KpO6VV7GduVSkB3k8/lcplbbrmFfD7PkSNHLnvNc62ZXkBqIVFC9QgLBVEbbCS73CmFGbGE+CgwulcxXWig0jjCphY2OdOe4sPXvYcHZ5/l62d2c7haxCFDYdgnLtr02HS0QVTq0G6D6rC7/v5+sj+1lR9+2y28duVGBhfhJV+/fCsfPvwwBoNkka83oLXoBaQQVcJCrZn367xq+WqemD5Lsd1Ca82ocbm2f4BHSucwQhATMeqBT8XzKXtRK6dtCVzfxvM7b9D93ozokdrJ0MYWFra0qauAo5USMStisnd9TT6eZnjFCipBi48efpozjToDsSQ516HQDrAkrM8nGXIGCLRh/erN3Dy0nKywmZ+fJ3dsjv2z04TlSs/X2zEX25IMJFLIDgNvGIYUmnWKXgOsAG0ZrhsdZLxY4Uy9ijaRBIw0kqRrE3NtWkFAW4VYQvLQmdN84cRx2iokbtncO7qWn9p0LRty/QghWL1qDT//6Kdpm7BbJI2IpYzADR3+6Pr7aZmQrdkRlsUzTG6rsXtyGi8M2TjYz9bhAR5+6CGMMXz54HEeHT9DKwjYODTAazat4bCa4M8mvkmgIzkdS0a4YCkk3er9lFfit7/8N5g7TAQL6qGJTG99pm6+SOCp2swH5Y5EzFL74uwj1FSjU8nsrGdpcB3FSH81+r3ThbcYotT9SRlYnRjhgaGbLnWrRcv8CgSli00IQTqdJp1O92A9pVKJYrHI8ePHabfb5HK5nq9Pp9MdySPzg8u0f1Wn9MU127a/a0a+2dlZ9u7dy8qVK9m4cSNSSjzPe07H96Xjx8CAbVlA1HajoedAhAXxhCRlOxRVGwUsLjSZjotY/LX2GPEwhEaTUS4bJ1MkG9fy2Z0T1FsBg5akEoJ2ox5YMdwikfVwnJCEHZBwPGLZIseHKrzv+lfguku/oh8Z3cLe2WlCoYkaeqJ3jRVkxCJ83j1ogMFEkl+57U6emZtk/8QJwlKVH7nzNj6093Hyn27hzERbWApI7ofKNZL6vXH62ykqLT+qwi7G2ypwShKVViAEcemgbEnTC3ClRc5IlAlpxywKKmCqUeUvD+3iTDUiNTirGuRdl5XZDFONOrYU/OzGG4lZizAjjsu29EZ+KAZfPnUUpaEZeJydKlBTijv6R9G1BnIwgW3b1P0m86rInFdF2vFoVixYnU1yqlJBBSA9gwgFoaOJuZEeaSVoU0l4eHUVscwCFb/NR4/uYtvQIEOpKMhLzcWxPIntRHNgCYlNhPd9/NlT3LbGZXTZEPVyCbe/n+2DQ2wfXMALzc3NMVFq8D//9DPMlOrR2rMlB8/M8g8nD3DcKgMdkoxYRLTUrZLSmX5lDHpELXwPLGrh6PzuzZX41iee5vpXbaadq/PpmU8w0RpHxwwD7QHe0ng7m1ORnEEpqDEbFDF6Eb5KLlwrZivCwEIISCR8Gs0YCLEkMF0Z6+fdG299zlaaKx2Unm+xWOw58SndwPT5jqVer5NKpf7VdNW+J1taTPnernPVrtqLZN8L0/7i5PMdd9zRq0I9V6D71bmHOwGpFbGNG1BCIzq+3iDwwwRG5XCsGsJq0fXm0W113ibb+bn7ilArYsJm1WyMBxobOMNZzraq2GmXYHWIe7LDrNpsRf+0wigNShHOesx9eCfDa7YyvGlpleY1Qxv58yNP0aC9KJAwuMKhZRS6E6wutrhl85s33M2B4iy7z04wc+Ys91yzlcOWz5cKZ/E8DYTQ8XVRL6pg2E0xU/Wg0/La/cy97aCzvwghyNpxSm0fVwoG7ASe38LEEpQImffqfPjAMfYVC8SlzYxuUgt81mSylLw29dDn3Zs2MRzrWzLu5cuX8yMpl+rRZ2m1PQKtOTs/y5zfZm0qR7rhEaZD4vE4oVJMB0VKYR2vaRF3bEKjWZaPc65dQyuDJmKM9zTEcZBC0goCGl5AK+zI0wEVPD538ihZJ8av33AnAH3JOL4V4GqrRwTkCIk2mul2g2f37OPO4dWEfoXWgM3yXIbluYVgRilFLQj59c99k71TsxEplBTsn5rjkdljzIxMROsWEREjssA5IgU9bfDmdkWsixVactiMfomNxvmH3fu5ZeUYY31J/vbsl3i0tJfQKBK4vGW2wRuG7ur5r0fm9y8NSMWi0LO72OkGpktPt0KAKxL81IpXk7Yvryv+QgkFX6hZlsXg4GCP0KzVavUIkyYmJrAsi76+aH11A+TnY99XldIr4e9fpr7+ZdO++0IdlTGGY8eOcerUKa655hqWLVvAYjyfbGwzWEzBLbAtK9Ju6iziTcvzDMVSlL02c6VWdHsaiTQWWii0EshFsyc6GEZPKa7tG8Ov1NmzZw/Lly/nuuvX8Nmvn4puEGkYaShmBw1aCex0iOOE5OMtRhJVUo5PXIZIMc//GP8NfnbVr7I1s733PqOJDFu8QRpOk7ZtSDtxVtk5jjJPkVYP12KMIdSRg3nN5nVYBpJTRbb6NjfefR/xZJIz357CmlFgS6QV/Y0IDdl9CrPZYKWiCEWIRWIg3YqpJ3pOKjAhbT8i81Gej7ZdYqk02oTYwBcmjlHyPNKOQybmYgwUPY9Ey460MUMuSg4FcM/YOgTw9Nwk9SBgLJdjayrPNVaKM2fOcODAAbLZLLWsQsoGKzM5Cq02fa6Lr0N2Tc0QBAbZFqAERkPdC2iHYYTVSVq0iQLS7sZviBgOf/vp7/Dgj/wUAOValFGOW/aSzdZYUfC4au16CFucPHmSAwcO9DJ3AwMDpFIpCvUWn953jrmKT9y1sTuY1UbgM2W8nkD1kjUOC99n53fPSJSWWB1yAiNYyPoHgrOfnmKyNcOj33mG9i+dxMPrfW0FPc9fTn6U9638ZVYl1jBbaC6SBehcaBFQodu+1ulmw7Y0Ybjoe9KC040Kv/LkV/jH17ztot9f76UvclC62C6FTzlz5gytVouHHnpoSRX1Uu25L7YczPj4OJ/85CdZt24d4+PjvPvd7yafz1/0tbt27QIi7Nz4+Djlcpkbb7zxRRvbVbtqL4Z9t5XSmZkZ9u3btyT53DUp5WWv2VQRzKa7a0shEQhCFBiDDpexOjEGRnAu3NMrRnVZaxdbd3e0pUWgQ1zpssYe4YknnsC2be6/624+8/TnmWiUkUJSfadN9sse1jmw9rQ7AakCP+wlwI3S/K9f+Bin95/h53/vHb33ilsOa6xl1MIaDVok3DhDTo6a53EkmEEZjexolSoTtSU/sHwTAMlKg2WzVe6/+S6WLVvG3zzyRdradKA5IKTstAZHMiEW0e+LYpPzcIVgWQZtNHXVRhmDCDVt1SKZztAyiriAZwqTnG1USVg2adfBFha1IOBMvUZ/zKXqhT2W2PNta36It63bwTfPjTPfbpJLpbg2keGmeJ5GucITJyOuEPoSzIh51uZynK42iFmSuLDZX5ilHHgRcU/UcUtbK/xmE1sKkrZLK4zkWRabMpq/O7qPn9lyHUOJFBW/jQFilr3EJxsjCQgYXLOSnJNjdnaWY8eOkUwme74+l8uhtObLk0UO1NpYQpBKuIRK0Q4CZtxCxM7fDdpEt0E2qr6DjJZFhy9EPB1gXuEufBFi4V/FS/KpfYf52tET9G05y4yZ7hXlm3j8/WQkS/imkbsJtKbmhQh3oXgiFoMSe63BpnOPRENYbC3t8z8nPsUfb/sl+txLVxT/NX09RLCeFStWsGLFih6sZ2ZmBoDHH3+cTCbTw6Jms9mLBssvNtP+VV///O1lUyl9IY7K93327t1Lq9XijjvuuACc3NUpvRSODuCa4RGm6nWMWYSX62zKuWQMpQyFdouJankhkyUMjnIJbA9tNFoJrA62zxYSX4fELYd/k93A7t272bZtG8uXL6fe9BgayREMhUzeWEClNLHued9AzAoZitfIuW3yTpOM1SYmQoSAr83+FsL8BluyrwBg6+gQ/YkkshqyIZMm5aZQWpNOuARK0/SDjnZZtHP93N03MZZJ8OSTT+I4Drfffjt1o9g9cxp9sBkFHFZ3kxJoG4RvGJiQzG8PIlp7YzBduvuo4SkS2ZbRRloPfZo6wMaQTDpYyQSWFGxNDlL02sy2GixPZTlW9Qh0xPLqSNGrkjY8eHTqDJvyA4wkl36XrrR4YMVG7hqJ5G0yToysu+DUPM+jUCjwlXNPca45iwoMXig44zcx2qLZUtiBxLEkQQebY4whBDb35Yn1WcwWGksyT6LTGTHbanC8XGRDvp91K6LWnlBpHHshMAuVZiCfYs3KUWxLsmHDBtrtdk/W5OTJkziOw775FpVWgG1J3I4uady1aXg+SpqloHXfhtjSJI3qVvARzFZTjOZrnd97y5cVTw2wbLQfrTXTa08gVAvLinRytVadDLjm26Vv8NOJn2N2roWeSSKXNaJWMhb8njHgBfaS4sD5hxR01F1wsDzHP4/v5+3rdlxwn/XG/wJJB66kdfEpnudh2zbr16+nWCwyNzfHsWPHeviUgYEB8vl8D5/yYldK3/a2t7Fz504gclrvete7+MQnPnHR137kIx/hox/9KAD33Xffha+7Wim9ai9jW5BGi3z95XzzYrtc8rlrz3V+uC67hceKu9DoSKolujAAjoyhSNAKAybbBeKxjh6zAVuAIywCFNKYLhoVS0hCHVWDXp+/jQNP72V0dJQtW7YgpWRVOs/J+hyBXUDYAa0fA6HBOhIn8T885FynUmn0kvvts//ra8ydKfJbf/c+AEZTGdbl+tg93WSlyDOQGMAYQ12FDNgpKqpF0PncBrh5cAU/unI7+/bto1AocOuttxJLpXhm7izHK8WFmKaT5OxK8gkj8VTEQGtEt2rXlT+LkIRIg7E1vhLUwhZGQEII3HQKIwWrEjkcKTldrzKaSFP0myitQELCsqj6Hi3lszKZ45m5KVal+1ib7uvpZHfthsFRtvcPM9dq4FoWQ/GFpKBSimKxyFNTRxgvncMLQrSGcw2Ja8Uo+z7YmriUBAo0Gm2i/+djSW4fXMHnJ46ftzABI1AYPnbkWX7j+rsYS2ZJOy5V31sSlAZGYwvJdcMrWJ0dZPXq1YRh2CPfO3DgAEopqpbL6WYbASQcGwm4VtSZpe2ODvpiqYeF3G/0OcOI8VdOBPDVNtzgQEos8cXufIpV7grog+lwhnNqCqvDuKyN6ZAxGj438xCvG7qD2WaLVi1PcqCLJ10678YILnc7dhPUTdXmwxOf5rc3/fSlX/uvHJQuti6sx3VdpqenueOOO3rfz9mzZwF6xIgDAwO9bgvf91FKvWhER1fU18PVSumLbS+kUlqpVHj22WfJZrPccccdF9Ut7PaRK6UuqWv4y7fcxkOnT9EKQxYa9qMc0ju2bedzp45wulm54HvzQ01aJmkZH4nhntFVTPsVqkGba3Nj3K7ypOaa3HDrreRyOQBSCZfR1VmeWXYM7Wikjt5HCyJmOwRJxydrt+i3G9hCExpBLYjTUDH+/uyf8qZlDW7tf4DhTIo3X7+Vv3roSc5U6yT9kFBr1g0N8O4fvYldp86x58w0mUSM1+/YxLpsgscff5yRkRG2bNnClyeP8Y8n9lL22pgg2vyM0T3nYDqzcFf/Kgqh5JnDE4jAoG3w+iXN4ahtSeUNNoK4bWMhSCIw0kbaMeLSxrIEgYkkbhxpszyVYbpVp619FAZfh1TaAWnHZd/8PLtmZsnH4rx57VZ+ZO3mCw4saccl7VzIrhqLxRgbG0P6GeamS7SVxDUhNgFz9RambZFxbSwLWigMklAbLEvw3ltv4JOnDveYhIXqzIGMcBzGgqdnz7Eh38/2dSPs2LCMfcen0EEU9Icqol5/2/3XYlsLm3A8Hl9CyFMul3n8G0+BMYShwvcirIO0JJaU2IFAuQsrzbTciOVZRG1I2phOq43BdjWhsDhXzpKJe8TsEN+zCQ/kueVgtN6klDjrNaGIMttGmV5FVFiaY+XjMAbJmIN9eDlh9iQyucCwa4ByM4E2nc/UiZiVXqTmZwBjdeAuhn8ZP3zZoPSldFRd6+4Hl8KnHDt2jHa7TT6f57HHHqNarb5oJEfj4+NLfl+3bh0PPvjgJV9/0003USqVAC6aYT2vyP1d25W4xlW7apey5+Obu+b7Pnv27KHdbl80+dy156qU3tl/I58691Wm/bnI13WrQcCt+et4ttDgaH0aYxSuI5FS9QKVuLRxkAQ6ZGtmA4E2zPklhmP93CQ3kDgZsmnLJlauXNl7v+35ER4q7USK6EwjIrpW1Cab9i9mSf6nOZaAVrsm4LHPPcN/fusf8v/+8/uRUvKTm6/jVKnAVL1Go1Ym0JqcG+MD2x+gTcC3pk6gMdw9spZXD6xm367dGGO44447ONGs8CePf5uzjSpTzUiIXXUbgjoBqQRybpx/s2Y7HyntRkVYjgi32mkpFVLgZENiro0joi4dX4CMS9JxCULjOIpyq01MWgwlUsy2kxS8RofXQlHxPRxpE7c8/uTw4zjS5q7hVfzsxptJ2kv9uistlqcu1Oi2LIuhoSEyFKh447R8ifQUqcCnETQIpCEmJCnbokmI6lQdlTC8emwl1+ZGo6B08bwv+vlIuQBELdA/ufZ6/vTok7TCAFtKVAejePfIGjZmF3RwbdteQshTr9f5+v7D0euVxvcNtmUhpcSSgqDpINL+oqSM7FRIo4GERvcgWOpml/aN/VhPtXEqIeZaB5ognxKsvP+6TqUVUrmQcucqWqtehVMYQ920mGoXydpZ3PYIrXqZRLqxZF67TWIY0auenr80tbGQSDSaw/WzFP0a/Zeolr4cfH2XP+J8WE+1WqVYLHLu3DkOHz5MOp3m+PHjvfPmixGUXmlfD1fG379cff3Lon33+VZKz549y6FDh1i/fj1r1669ZKb1+Tg+x7aIu5JWuHSHMggeOhVV7ebbTSwhUSo64EO0aVQ9D8ey+PktN/FL190ORH3tu3fvRkrJDXfcuoR1TQhB5nobVdAR7lN0MlMmYs1tKoeYCElKD1toPG1zut1P2YtTUwkCY3Gg9nVWJ3bzwe2/yhu2byQszrO3UKFtOWwbHeKBrRsZTCfZsmyIn7jtOgAmJyd55pln2LRpE6tXr+bZwhR/fXQXxsDKdI7pjWWCXXW0NmhhEBqkDxjY99gE82ikY2GIHk9Ma+ymwL0tDcskI6k0XruN32qRyuQ50CxwolYi78eISYsJUWFFKsugG4lFb+sb4kS1RD3waPoetrDIOQmUNhFde7PBxw7vJmU73L9q/XOuh67VQ4+901VOz4ckrRi2iBEaFyVbIBQqjKp0SdtCSIuWCrGkRX8yxUA8CSHIQC6QGggRVYJj9LTRhBD8Pz93D3/x2ad5aOc4QRhVSN92/7W88RVbFsYS+Dw9P8lcu8lQLEm+5eJ7mqFcnpg7C0ZGb6MVYRjiKU22YFMajdqKpIjajCnHkYkAEQ8RQiOlQYoFLV0lJDPVDFpLworND++MLbmbdTrsQFGiViYkCB31JjenDYfVJDs2L2NleoiJhyXBaAmTbRPGFI0sKCPpdhdJKYmToN6VDdAClA0d7JFAMNNs9FqNL2YvF0d1/hjOx6c0m03m5+f5yle+wqOPPoqUkp/92Z/lda97Hffddx/9/f1XZCwPPvjgBdfq7+9n165dl2zVuZSDumpX7fvFur45DMPLBqWVSoXdu3eTy+UumXxefM3nOj/k7TRz/uySxyRwoLafWwbu5lSzAELQDpKkYnWE0BGMw2hsYbEls5r/uPnnkUKitebAgQPMzc1xw8239PBrXduYz0e+x5hOmlv0gpBwq4NaYSFPLxpvd8uMNlt2fuMgP7bql/jgV36TbTtW8aubb+KLxw7QyMUZSaZ50+qtbMxHMlnddt1qtcrOp56ir6+PHTt20FABf7TvMc41ayxPZpFGcLBYwNBh811EcuIFIR/dszuSsjELyWmApGOxfNQmm8jiAI1ajXS2j+OtBlOtBrXQI2XHOF2v0h+LszY9QMX3uKZvGYcqc5T9FmU/ACR5N47BELNsvDDkS2ePYDC8d/Ptl4TvXMz2F2c4XWljC5uYZaMcCy1t8BpRYKY0CSkRloXC0NKK0XSOdbn+y1aY+uMLWMmfWncDtpD87clnqfht4pbNDy3fzC9svr33mkBp9s3McrJYJunYLOtP0sQjuyxL0orG5IdRlV0FAZ7SmOk4iaEWRnQVFKK2YESULBHCnF/ERN0aR3yxSex9FZAS90e39dq2AXRHsq3H+iwWEsfawLePT/LT1w5zx+gqvnTSo1WtYiVqSCsknWkghImwrBikkMSkQ0v5nakSKG1hOizVAoE2himv+LIOSi/GtC+EIJfLkcvlerCeYrHIpz71KT7+8Y8D8M53vpPXv/71PPDAA6xbt+6KjOWqr39h9rKplF7OqWitOXToENPT09xwww29A+SlrCsRcrlrfvroIUqtLvf5orvYGI4UCiTjI6xIZXAsi4lykU5zSzSeDv6uHkYZr1KpxLPPPsvw8DDbtm276A0pcwK7HLVWRA4qIlkywhB0yk8xGY131k9T9OKUwjTdHUobOFQt87Ynfpe/vvE/8OjMHN85O0NoDA+On+RIocBv3vMKUq6LMYajR49y5syZJfP1namTNMOQtZk+fK2YvUGQPSKwGlG7h+gG6MZQnq5iA7o/gcp0MpkanLrB0w1cO0ncV8hAMTI0wtFaiSCIMLN+pxUoZbnEpcVIKkWh1UYiWJ/tY6pRR2lDTEbtoQOxSHMq48Y416jypVPHCJVm39wMRa/NykyOV61YzbaBoQuCHi8MefjsBKeLTQbjKYwMQCikiijcpQRfQSLmIDqv90PFsCtpnzvH2UIJ6UuEWlQpFdFntW3B9f1DhGGIlJJ0MsYvv+MVvPtHb6Pe8ujLJpdUSE/WSvzRgSc406igqormzja6HsntWFIQT0uchI3fVgQaQhVRt9+U7qMvL/lydZZGpy1sMJ6gKD0sqXot4otNCEM8FtDyHNadFIQzdVgeHY5aKyv4o63zOa8wnTZhvWuAJ5NH2XLNct71xlv4yBeeZGbaIZjUJKRg1XZJabRMIWhgC8naxDLuHdzKp8ePsqc0s4QCBMBGMpRIXjIghZevozrfkskkq1at4vOf/zx/+Id/yFe/+lUGBwf5wAc+wIc//GEeeeSRKzKWcrl80ceLxeIlX//JT34SgKeffpr3vOc9S53m1fbdq/Yytm4CuSvpcTnf/HyTz117rvPD0fpJxluno3EsetwAddVg0jvBgJsh5yY5XZ+nFfgknAiLb4xBo1BG01IeVijYvXs3AHfeeSfxePyC9wtMgCUEuhuMEmFQLSnwRYgZsuDUBR9iya9e0+f9r/4A/+VTv8KB/iIPqlM0iiGiKNhbP81/uvYB1mWiwHRmZoa9e/eybt061q2LNLCfnp5gqlljZSqHJQQ11UIKs4QnoGuVttcjBkQtmiEDAZp6YFiWkKh6i7HsAAV8Ws02SENoTMRia9ukXIvhVIxaG+a9JqvTeZJtJ4KPGIVlSfpjiYhl1oWZVp1n5s/xlfRRTjfKnG1U6HMT3DW8mhsHlpOwFxEfEmE/x6tFnp6dIWXFcW2DRmNJaKlICSDUBhwrwvyqkGYY4AL9hToPl450nPtFNjkDrxpZ0fP1Ukreue563r7mGopei4wT6yWoARq+zx8//gx7pmYITMhcukArFvFOWFKQXGkTm82hWgZfdSrUQjDmZLnfLOdb+hjzMsI65+0UlbCK0HrRibyTzLCi9RO+KYl1zCd+wCa4dbCXAFYioJI5e34c26mGg6z380j5HG/duoOf2X4tM80GBwoOfjuPAQaUYflYhWk/wmCOxAa4IbsVTyk+NfNoZySiU4cFicQRDn3OpSuKLxdf/1xjcByHkZERfv/3f593vvOd3Hfffdx111184hOf4Nd+7deYmprqdTt+L3bFfT1cbd99se1y7bvtdpvdu6OWlDvvvPOyAtnnX/Nyjmrn7CRdUdKIkG/hG1JaE4aGauBTqrcIhFoCqBMiCng+cWI/2bYhnCqxZd0aNm/desGN0PQCai2PsVgeQ9Q2KoXsvc7XISuT/bhiEEMRZQTVMEktTNJ903rbZa6eRuvob1718b+AkoMlBLa0UFrzxYPHqHs+H3rjfezdu5d6vc7tt9++pB2h0G7idN635DVpZUG9NU78GZ/snrDDrKN7eBsAt9iinbIip9khD7AmDLXlDaYD2DQ8yqzXpNCOxJj7nQRDqSRtFZK2XYJQk3ItXjW6lX2FGaq+x3X9y3hqbpJj5QIxaXO2XqPme71Wof3FWQ7PFyJqdynYV5hl99wU79i8g3tXLdyc++dnefjMaZ6enuRsqYkjJLYlSMYsRtJxMibAJG0836Luh50KtWEgneQXb7iJZckUU4f2IQOx5AaNAnSBE9qMpTI9xtau/pfrSAbcpVIh2hj+4uguTjfKLHezHH9qBt3SGEGvCl2rhKzMZlApaLYD0jGH+6/fwNvu3IFjSX6pXmP/5Fnmq5N8sLwHo+ylZATnm4BM0udeezWHyoepFBpk8gn8V81gjEBrkHLp34tqEvvoCOdGKjz67ASnZ8rcvnEFTswmHnNYMZRl66phJlsV3r/rc0y3a+xpFNg19zC2kNhGEnRJGDrBe2AMdy9bfelxEjkqx3Eu+5oX25RSL2gMvu+zZs0aPvShD/GhD32IVqv1Io4usks5sMXECOvWreP+++/nxIkTCy+4GpRete8Tu5RvfqHJ5+e6XteO1SdQJux0mSwKSjr3TCGYRTPM8doMoWkzbEfJ6qgNUuAIm1Otc/zViU8jz8bJZ3O8/prbLwhIA60oeE3yThpLSISJKk+WFREGhlph2xa37NjGrmcifNkF0QRAzIWOb/n13/8Yc+8eRFiih0vcV57ivU9+gk+88meYP3OO8fFxrr32WkZGRnqXqPhtEGBLSTP0qAY+KUfgdTiWep9fg+hRucOCdmv0e6gM1abPadNiW/8YyhGcK82hMeTjNsuTGUKjcYQEIfCMzxtXbedktcpko8K6TB8lv8UjsxMIAfPtBmU/IkqSCOqBx/85+tRClxCC3cVzPDC2iR9fdx1xKzqiTjVrfOPcCfYWpzhaLgIGx5LEbYsBN06fNni2RSAsmiqkpaPEeMJxeNOKzbxi2Wb+aO9Tl1lFgi25wZ7kTLeybVkWQ7ELZcG+eOQ4OyenGEknORmbotWR/tFEuu21mIe7psXymT6qjQBLSm5asYz3vuJmBlJJfsbzODxzirm5ef7swS8j73QX6debJeOKDp3g/0qOm9rXs/u0x4HpWbKxGKK/AFJ1apgX9oOnKutoeD6Pnj3DuUadjfl+rhkYJuHYDCQS3DIyhm3Bhyf+gQO1E0x5Rc7NRonXjGXTUEHU0t25emhgTaqfsfjAJWfy5RKUvhA5mFarRTab5Td+4zf4zd/8TVqt1vOONb5b+659PVwNSl9su1T7bqFQYM+ePQwPD7N169YXtMiey1EJS/QYXc7/bowwJB2LUr2Frzvtj3TxFRHZjzGGtlL81dH9LA/zPLbvGN+cnOV9r7iNVX05vCDk808f5pHDE7S8gFTKIb0iQd20ek38oYnYcX9y9R3cv+zf8b9OvBfLKqARhJ06VzuwmK1mMETMsWHVwS7adLnabBEx1wZK8dCJU3zmW99mdT5qeTr/AL4+288zc5Noo/F15JmsoQT+SgVPe13M/wWL1Z1u4S9L9hylMBC3BMlYmhO1EkWvRaA1jiUZSCZI2g6utPBUSKAVlrC4eWiMW4aX964ZGMXu+WkmazV8rSJJHm0I0UgEY/EMa3N5pBA0g4Biu82Dp0+ypX8QrJC9hXN8/cRpqq2AiXKZuh/2YmnZgKlyk/6Uw6vWreGavuV8dfw45bbHunyef7NlGzePjgEwuDvPuW71r8sy3D2zBJFjmvKbfOb0AXYVJ3GkxV0DK3nj8s3k3USvKj9RLzNeKzEcT9E40yZoRSQPUgi0AWNF5Erj0yVyqRj337iBdz1wM75SnJwpUm/4VGstfDvkG+mvQSU6YGgtkfLitOYRJNnwuHOGgVyadqlBvRmQW+XQstsIbRMGIUJGLkULcDyXlhdQDtsc+9zTPcbFVMLlja/aSmAZDk3P8cdnH2G6VSduOYTG0AwjHl/jCmh2WneVASmwjOSJ05O8b7vuaeqeby8XR3WxysalrF6vL0nqPB8n9dGPfvRCB7LI7r//fu677z7y+fwFmdJisXjJtp3x8fFeq0+XwW98fPx5H9yv2lV7qa2LY7xYEvq7TT7D82nfFdGh3SwFYnVDAAeLWtiiqX0yrh9h+TtRmSVk1CWlNQ+VdxNaa3CDIo/un+Wda27jjsF1GGN4aPYEX5w8yFy7gSstxmJDnGnNoDAIIyJsP4a7BrbwO3/8dn7z2O9x8NGj0QAW7YsiFlsITmyb8gNZtDYRr4MrcVwLbQzzXoM/f+pBbgoz3HbbbWSzSzGYK1I5LCTtMMBXkXxMzHHRMiC4nPqeRbSvL2LfsTUMpPuYVA2ankezo/eZj8VIOi5gqAUeWkWdY5uyQ9w8sKCXvaswyaNzE0w2qrT1QkQcds5BfW6CjdkBHGl1tFYbPD53imv7R1mdzjBen+fzZ44wWa8z125RDwICrREywsTOiAYZy2Jz3whvWXMN354+yclaicF4ktct38QPrdqKFILtpbV8YfYcF88EwEy9zkg6y2fHj/Cds6dpq5BrB4b44TUbWZvN9yqoQggemTgTkRg5MC8ijU/ZIRnSRoOlKVChPtbg1twafnnjqxmKpzhTrnK6XKXcbBOEFp96zxdo3xsC7qJz1yU6A6TgKesILmswBsrtNqszkrqIpI6C3j3QaQsW0PBCKjrgz/bs7ClLOJbFK8ZWsDqX42BpjvHwEAfqJ7BFpP3XNK3eOcgSEVOwryPWf4FgslXlbKvAisTFA9OXi69/oRqli5n2X46+/kq1E7/c7WWBKe2y5XYXszGGiYkJjh8/zpYtW5aQCDxfey5HddvYcp48NYlRLJCRLQrGDhXnScZtVMtf0tHSHXegIifjxBzW9w3gK8XxuSJ/8shTfOAN9/CPj+zlwT3HScVdUjGXWt2j/+gw7to5SlYTZQwpO8ZPrb6THx67HiEEv7bhL/m70+/FFQvjLjWTCwFpKYaoLdxoxhiaQYAlJDFL0g4V/3RgiutGJeRnuHnD8iWtT/cuX8+3zp1kolaK2ouMoRn65H1rYRtcBGnoTocMFW7RwxtIRIQNqwR3jq3jjaM7+M7kSZ6ZmyTpOCh0ByuhkQKaYUDKcViezHK4MocjLUaTGZKWw/aBQZRS1JVPXNpR24slUEqjlMESstcOmnQc6r7PbLPOt6ePQqzF3nNFDhXLtDxFpR30wPrR12jwjaDc1mzKL+Mtm7fyls1bL7oOVqay7GO2twiiwDw6SEgDn/jm1/mcmKNsAlJuHIXhk5OHOFIv8n9vu5uYiW6hmtcm0Aobi1q91akkdlqvRYTG6E5qox3wmccOcXK6hJJwdq5Cs+VD3JC6fgZ3xKYv2WC6miNUEtteGpR2q6c2USU2XC1Yt2MFSmmmz5RI1Cy8/gZCAlpidCfYlgJ1JkY9KQmEZlVfFseO7r2j1TJ/8O3HyecTGNdwemSOWIe5t+F7CzeINAhpMDrKagtfog0cLRd5dm6Gm0ZGLzrPXeKBl9Je6BgajcYFh73nsne/+93P63X33XcfH/nIRy54/Oabb77gsV27dnHvvff2yA+6thincpXo6Kp9v9j5SejvJfkMz+3rt2Y2YWGjCZas726LY001cGUSG7EI8iB6/9VaRxR5UrIuOwICpttVPjb+GCsSeU43Kvz58SfRRpN3E3gqpNpy6Jd9lHSpI90iedXgNn5l4w8B8MGv/BZ/+O6P8q1/eHxhQFL2AlLhOBCLESyze/7Y90OCICSecNFa88XyBGcGV1EuneENqc241sJx7obBUbb1DfFsYYqkFV2joYKooskif3Kx+10SlYmNwLVhWSbPf7jm1ewuneGRuSh48bUiYUm0UUhhobTCN5qhWJZZr8aMV2XQTdPnpliRypC0baqhhy1ENE4TEfe1dUhgVA9TaktJTNrUQp+nC6c43hIcr5TYU5yhEfhUfA8VlXcxGoyMOnWqWtMXT/L6lVt4/cotF/lQsDKTPf+Yt+QjP7N/P3+7+2nGgzYJx0FIyTfOnuJgaZ7/56a7WJ3JEYYRsWQrCLCFoIXPohA+SmiIhflVRvNE+SQTewqsKq5kolCm0GgiGyF9u+bhdAn7UYvwTZlFi3JhXN3qpxBRUkXHPTYMRdjYqVod0zKYrOmw54pOkjlKsIsgRtnzCWzNcCxJpqNaMN2s848nDvKlyRMkbJv0siNYtiZux2ioVm9+Fh+LHRlhrH1lUQ1bfLuwn59c8aqLzvPLISh9ob7+u2Haf6l8PVwlOnrRrUtioFQkarx//37K5TK33HLLdw34fS5H9aPrt/GJY/s4N9taWgoX4EhJud1mKOviaUEY0pET6ezVpttfLxhxMwghiNk2o7kMp4plHj1xmieOniaXitOXijIuqbjLTFmQPrKMX3zlGpavXcm61NAS5jlLWvzUqo/QN/1RTjePoZAEYWdu2ja0LGS4UK3smtaGlopajM/M1ZmePsbXnj3OT7/mBn7+tbcAUQA7lsjwH665i384sZcjlXniloM2muyOFHyx1hNwPt+MEEhfRbpko5L2MticHOa2keXcPDzGp08eZM/8NBO1CvXAo6Y9mkGIMob12T6emT3HlyaO4ytFPu6ST9oUgyp+GGABoVE4SFzLAS1omZDGEh3ZKND0dMhkq8CO9BChX8UogS0kITrCT0CkuyZEFNBqqPqXSwvDjaOjfO3oCRb4rhYm1nFsZpdnKU9NoZVmslGOlMSE4HG/zRPFdbx2+SaUUqzJ5OlzExS8BvG01YEnd/TH5MKsCgGubeEFIbuOn2P5cJZ506CySqEFmLkcsp4inWkRd3xagYvnW7iOWkLZ7nS7egyYakClUiHmxqL23W8brJ+ZJiREWp2ObKKW5P7Ta2gui5OK2T1pm6L2KNgeYaiJCwuZitqR/VCBWGDc1d0fup7K6lSTEfhKcbRUvGxQ+lI7qhcqS9NsNhkbG3tRxnJ+1nN8fJybb765t9/t2rWLfD7fw4l98IMf7L32wQcf5K1vfSv5fJ5qNcrSR6xWz9+hXtKuxDWu2lW7jHUrpVci+dy93uV8/brUGFszWzlY27vk8U5aDU8HxO0mKR3rBEvtXuJPozqUE4KEyPY6QcbiOSaaRZ4qTrC7ME2oFatSEaY/bceIWw5zDcmPyXXccf11jMRyDMaWJrh+9aPv5uYHruMP3vV/ov20uzdJCY4DloVVNQSDoueXjYk01o2Eee3xrZmTfHvmJJ8/c5A/uePNxK2oO8oWkl/dcScfP76Hp+YnSdsxaqHHQDxJu9HsVc0uyECfNz8IwbpEH1syQ1zbN8rW3DAPzhzhXL3OnFenEQYEuk099FmdylMOG/yf44/SVD5Jy2YonqAWtikFZawOiU+gFQnLwREQ6BBfhSgMi1LjhFoz2SrSlxwgYyfxVUQ4FZpIis7Ssqct7lgRCU/L+LRUQMK6OERjbS5P0nZohsEFH1lKiRodYvLUOFJExH1hh5243G7xyeOH+K3bXhlV4Ixhy+AAj505y2g8gbB6tUmEtTSBbIuosn22XaLdsmlN+fR/dhKroUApyGURkyH2l+qEb0hDCJw3fCFEL0IUSlIulXFdl4F4jKlCSH40R8VUF7nmaDTx6nJW9eeYatV7AamnQqbadQKjQBtGEinqIiTUBk+FhKYjHbeINKlbqJCAKxWehsP1cxedY3h5JKC/G1//YmmSXylfv8SuhL9/mfr6l0VQ2l3AtVqNgwcP4roud955J657oQTI87XnIlMYSaR59/Zb+UDhIZTuZqNAShHpW2lDOWgg4oawbi3awBZSWZYQrLQjILRHgLIUvg45U6jQ9AJG+9NMOUVKTgPbSPp0ltq0IuY57MhFrazGGE7Nlzk+XcC2JNuWD/PDY++lrT/PxycfwpaKQFkYT/aIeC50IAaEQAQGKxTYlkQZzd9+ezf3XLuetSN9vUr0puwAv33Dayj5bcp+iy+cOcxT85O0tybhYHPJVQVEmVtbYAzU1xgq14MdCv7s2ac5dfosP7HhGjYlssylGgRGUWjZlPwmWddmU7afauBxslShrQNKfotnZhsoDUlL0vajbGw67uJYkqR0aeqQpgmo+h5zjQYDySRtpQi0JmMbWqLNeKlKsdmi4QfEbHvJphnFSpK4FcmVFNvN8ydrib1m3Ro+tvNZ5hoNfKV7BxAhIYyFfHbiGMZRtInYIiWCQCtqocfH9jzCwHSNwcFBhoaGePPqrfzN8Wep9gfIhER1MKWLrUuMZIzBGDipqzTzGqM6PI2hwIQO1VCS7auzpq9A1UsQaIkSEksqREdSqKvYsn56EMe2aLVbNGptdNGwcuf1nF67H5OLcJCynOCB+Ot59S/fwf/9v7+KUgvOcyZoYQw4RiKFJC/ikQwCGtU5vCyO2c35rQPdJXiZzNvLJSh9oZXSF0sSBuATn/gEv/mbv8ktt9zC008/vUSP7Pd+7/e45ZZb+I3f+A3y+Tw333wzH/rQh8jn85w4ceKSGmdX7aq9XK3bvmvbdk/u5XtNPsNzS8pJIXn36rfyGwcP45sF6SuQGCMwKALTRApDFBWcN24ADFm5AgBlQpQJAE3BazDTrpGxY9RVjYoqYYCslcU3ipZSbM8uBNvz7QZ7S1P4OmR9ZoC733Iry9aN8B/u/92FPVZKsKKqafYJn8IPxTEWEXO/tbDvG08Qi1kgDLsKk3zq1H5+Yt0NPV+fc2K8b/vt/NvQp+p7fHv6JN84d4IgY5isLJUFuVhwKoim49GJ0/z7uU/wy9uuY3Agx7pUP6GOoBoFr4ERgmtyAyRti/FaCV+H1MM2s+0aLaVwpUUQRvrmacvCtW0S0kEbqAUevtGca1YYiWewEDRDn4RtE9Cm0G5xulGlEQYkLLsTLBksEUGpEIKEbaGJIEntywSla7J5bh4Z46mZSdqL1ouILsOXJo/iq04y1pLEkSitaauQz584wiu1w8jQEIODg7xp2yaOFktMV5pkcykqbj3iwFiy7qLkuNIajMCfKZH/50rnkNLh6bBthB8Q/0ef4Kk5wlcmIGehb4pFjPlGIBYRHQ60lxGPx/F8n0ajQdMP2XxuE/XsEfxEJfo8yuY6s4VfvPvN/Pm+Z5k5u/BdF/02vlbYRJVVW0oclSOwixGkq8OvcpEcfWeeIh7eywU034++vlspfbHsqq9//vayaN8VQiClZOfOnaxatYqNGzd+z4v6+dDEv3r5Wv7YfYpG4EdtkFqhjcEWEiM0RugII6AXQKWLRaW1MrTwOSinKIk6GnAGLIrucqQLT2SOUncXkaPEZhgN8yQ6FSqlNf/4+D4eOnSSlh9ggHwizr+5bTtv3/YmtmW28V8O/DOHCkRBZyeOsFpgHDDdb0+ACA2xMoRKo8KgJ+Xxrb0nWHXPDb3MV3deB+JJBuJJfnn7XVR9j9r1Lf7md7/O09852huuE7NJZGLU2j4BhvbKGHZTItsCnZR8ozbPDbNTxBtthoXCijmMpuNk08u5fnCMx2fO8Pi5s8Qdm1Y7oB76qCAiT6hJDZ0KXqnp4zpQMz7CCKzOHJ+slplq1knYDknXJh7X7DxTpNGcp+1pWr6mHaqoGmnAkgIbcEXUhmU7Niufo/1yMJXkP9x9J//xG98iMD5SSATgxi36+mNMeTW0DskGkuQeD/tciE4KKlstKpsEmaEByqUy4+Pj5ByHt+RWsMurMHV3jPIzdRplv9csZVkiapc1EWbJANa8IVUWBEnw+wzGjgJT2haNZoLkcJGhTB1jBMVmkoKXjg4mnSBwxb4UmdAlnnZJ6AStahGRd9j/tRbN9kp0X7SuVNHhi6OTXPf/a7F1zTCP7ztNNhVHSkFbK+iQOCXjDhaSlUE/4858pJvW9UwCtC/pCX4vSgpbBjb1/2CRHzQajRdNTBtYkhV961vfuuS58x3RjTfeeEn6eOAq0dFV+74xYwwnTpwgk8l8z8lneH6+vj+WY3ViOROts0DUVtmTsDICZSQaRcpt9/B0XUmsSAYDlAmYCSao6nk0GmMJZoI0SRlnwp+grRZ0zefCaSw7SSwc7o3hkdmT/N2JXZT8ZkTCYzncNbyWf3vdLfzt0f/B77z9jzhxcJouASNAZqcmGNHUbpIYB3rtMm2J0dBq+QgpwIEvnTrMj6+5rjcXXfxj2omRdmL8xPrreMua7VT8Nl8YP8ofPftEJA8DWAiyloNvFA2jsYn+1gBCWhxpt3h0bpptc3MkwjZrMzaD8QxOdojN+WVoE/APp3fjCpuGCWmEbdpK4yvTwToKtIBq6OPogLr0kEYiMFhCcK5VpdBukrRdXEsyEnM5WS+wtzRLK1Q0Q00rjGA6uot1lALHimA/EsFQIkXSuvRaEkLwm7fcxb//5hc5U6sgRZTctaVkOJOg6LdpqQDH2Fi2oCUiwiuhIo1ubyBPEATs27cPrTU/OjrInlqTE/U455w5ClYV00lqSIjUBYi0yQ3AWYXuS0OgkC0PEapOVdxGKIVzUGPtjLRS1asThP9haMkJ3WqkyXmDuAmXRCLBXL1B3PbYPVujdHqA0E4jLE3g2cw5HrcNnGP74BAPnz2NrxSuFbVdd0mcsp3qaay9giBVRgvdoUtaWoLpWtfdSzSbUisuOc8vtEr5YtgPtK+Hq0RHL6YZYzh27FhUxdu06YqBeZ+Po9o5f462CGiH0etMpwqq0dguaGlQi7pIJYK8m8C1LJqBT9332SVOoEVH38sYQkvxT/M7GVyZoiZaWEbQ1XYKjeHsUJm/qu6nMOmSqiV4cN9xMnGX4WwKA8xW6vzzE/tZM9THjqH1/POdv8UfHfoOf77/GZSIsCFSgfDAdLKmthfpiPZyVzoKerRU/P1fP8refznAb/zHH2LZWN9F5yHrxsi6MX7rQ2/jT3/vyzz8tQNYlkTY4LdDVGBorXAQoehgbAytmiLUgkp/htfdcjulUom5uTmmZ2cJK2VMS3KqOovSmkbo0wwDvEAtEPsKEJaJML0Y/EAAEeFRNmaxPJNhvtmm5YeEUtAKFVNFm9lGQNy2sF2BDCEIVS/TqXTk4IQUKAHrc1leuXzNc66V16xfw6pjac6VGlhGUMWjZfu02j6BVjhFRd9n6shatw8WhvcJzH0O7u15tqxZh1KKUqnE8Pw8Kz3wknHyP7yOemjzP764i1IzwLEslNJ4QcdxKSA0SAekEshQ0BoxkUcLQQcWfmiTwidsu8zODxHYIZYV5TK1sZi+tkrJLmG3LAYfT7M8O8BUGFJrBgQIKCw46cmpCh/875/nR968g8MTMSbnqsRdG4MmlIbBTJxEPMoyj3g5qg0fa0RTCJsESqN9GQWl3YUWRmsbA46wuG5omEvZyyEofaFtRc1m80V1VFfSrmJKr9r3g83MzFAqlcjn89x0001XZE94Pr5+sjVNKagSmrDj56P2Go0GIfCV3WGA1R0YiyRhxUhaMZRRVMMG54LTGBEAUeeQEIZ99YMMu8tpeuVOABslNUNt0KLJ49Yx+s8+xo7sWv7m+DO0VMCaVB8CqAYe35w6xpp0H68d28wfPvgf2fnNg/zee/+CwGjAQgjJwDc02Wc03gpB6RYbb0gidTSGiBE/8qN7x6d4y5f/ml99x93cec2ai+Lj4pZNPJHm57bfyGgyw+888W2U1rhCEoSalol8XJScj4LSehCxxx5XIe99zWuo1WrMzc0xOzdHfbZGvFxkj1OhGfg4rqSpPBo66JFFGWGw6Ei2GIGvDUIrpNDELMm6dIZaGFD0fLQI0JahEhhm2h5CGFzLJuZoml7EqCuFQBmDJQETsRoPJZO8dtlmYtblj7RrsnkeWLuOTxw/SFza1EKPAMWM10BpjRIabQeYxRuhBcKChmOzfctmjDG9ORiyC9xqGTKZZZhsgr+d28NObzoqbGhD2w8xFogA3BMWxjYIKdBSIutNhNKdyrgFnSSCSUl41wqUCCJyrk4C2yQbnEjuRRiBU+0jbUZJJFxOF2oERmMCCxFEXX1V3+e/fedh/v32LWzIZDlareBYknYYtermXZf+RET6Z4VpmvNrWDZcxRNlfBP0Ev1dZ68W/SyEYEtmgen5fPt+9PUvdlB6pe0qpvRFMqUUzzzzDO12m1gsdkU0gbrWJU+6lNV8j48efAbHldBiaX8igjA0pIxDaIWERNlSKRaySJaUxBKgLRWR4iBwHRvXsmipgGm7HDkOHbUsKQRh5wD/eGOKp/Z8mZxOMCYGyKeizy2AkVyak3Ml9pyaZs1QFES+f+urqM5o/rlyAFOP4l9JlMEjNNgNgYlI8HrV1C4WwJnzOHFmmvf81F+QjNn8+/ffzytfu/2S8/KuX7ufVNbhm1/cR+BrfAN+zkHH4mSOalRa0NxoEUqD39Q0/AApJQMDAwwMDLB582YajQbz8/O4sxMUKmWELWh38mxREjiig0dGeq0oMFpgWYa4IwhQlD2PWsvHCzSBVsS1zVw70vVKxTpsc45GGkBYZN0YdT+qeKdch82Dg7znmptYlXl+a2oonWbWb1AN2oSBIlGLHEgYEww+7CGrGh0nqlgbgwjA+lYN/TMBZKL1Njg4yOBgRCvfbDaZnp6mcuoUb942wN8+MUVbBQvd3wrsZqQbqiLGdWwP7DaESTo0/YZsYBHbO8JEIoOf8BBaopRAdciPqn6cIbtJmFLM3FflJm8LR/70ZKeYKSJRbCEIwyhbXa0p5qYqvHprigOnNfN1zdZkngmaCEfS8gOUNpSabbb2LeP/u+vV2I7Fh/c8yd8d3xdNlgKUQOiFdvJsInZJ5l14eTiqF5rBPZ+R76ottfHxcT75yU/2GAIXU9mfb7t27QKiLPD4+DjlcrmXDb7cc1ftB8eOHz/O+Pg4/f395HK5K7YfPJ+g9Isz36QVekjRPWB3LQpQM65Pw4tFhDF0/FKXZAaBhQQRYhCRVqOUxC2HQAecak315ExMRxZEd3z9aVHhzycexBE2djjI5tRYL1jMuXEqQZtHZyd47dhmAG66Zxv/9ss/x5+//5/hRNDjr3Aq4FQMXlbgDXbob+TCJwCQFclEX433fedLON+UvH3TDn7tdXddcp7fsHYjgVL8711PUPA9AgFaEfljInUAx7KwhCDUmrlWM6qwZbNks1nWr1+P53nMz89zcLJEvd6gLeo0rOgC3R4bCxG1RluR7IuvBZaApC2wpKZimrSNxsdHG4+UdjjTauMpTc6NYUuBKzXGhhBB1k7g6ZBAaxKOxcpUlreuvo47h9Y+r/XSH0+QcC3aKsAnxBYRq6wiSgh3A9IF8iIICDlRj6qY58+B7/vMzc0xPj7O69tDjFdLzKejswqdgDT3FRvLlxjXgK8RtsC4DqLldcvxOGmHYEOGxK+votA3HyV8ddS1FyVQIrUFhCHIF1k12s+uZ0F31mu3uh1qjcbgC8GeQonXZ1IMOB4nVcBgLEXcsQiMphmEWFJQ8tok7Dy/uPJNbO3vZ0/1GP9t/ONEVwZlRE/f1phI7WEkdulz1cvF13e5ap6PXfX1Lx97SYNSKSUjIyOMjY3x5JNPPqdjeSH2XDiT/cUZiu0WKIGUkeBx0NHoNCJKTXk1EHELTEejSRlqxkO4Ak8pRvuSlI0iLp1Oq08HqaIFnlEkbAebSNexHSx8NikErrQoqgZWzmYdC22PQkTVp5a/lOhnXXaAXDtGxfIJk2BVOk8YcBsGz442NrNoL4jNBUhhozuwuDrw3/7wazz56HF++j2vYnAk29FQW7BqrcKqbRa//srX8ZefOMDxqSJtoaIgx4BVM8QnFPX1EjSsTCxtjxVCkE6nSafTvDUd4+zuxzldLxGECh2anpOlk5EGkBEsppMwlGijKTc9vFBHpAZWxNhXj8J6VCCQhCQcm5X5fuYbHm9cv5HrRkZQGHJujC19Q7gvIFN2/4p1PD19BuuwInsGRBh95ngaUqcVxooSERGzHRjXYPmCE89MsmHV0qxhdx185i8fYfdD52g2fDKORWwwTpi0kUpgNzWtIQcds7DCqMortEB6ApIGIw3LTIpfSvw7/vrw45TvmI5IjTpfRCfngDYCLVwStiYwiidihzHGRXdaoHvZcgHKhrptePxkmduuX82P3LuZuPQpFArsmpzl6UKTUq2B49jcsHIZP337dWQ72dQfW7+Dzx0+Rj30e3ASQTcJIrh99NLtPPDycVTPN3tqjPn+yp6+BO27b3vb29i5M9JbHB8f513vetcl8S8f+chH+OhHPwpEbISLX3e5567aD45ls1luv/12zp49e1nf/ELtuYLSlmpzrD6BbQmEMjhIVNSAG73AgCs9fMuOyHgwIBRt3cYREt+EuFYcXyti0okgHp090JY22oRIIYhLF2UUzfM+W0zYNJUPzAJLidNi0qIWtJc8tiLfR/W9Y6hvzJP7erOD1YjeMH1M0NgKfj+LoiYQbYE3oNFu9Jl8FH9V3c1DH5/g99/4AJuzA9jn7X3tdpvhuRL/Zd0OvhG0+Myxo4SqNysYIFAKp6OIsOwih/ZYLMby5cv50aF+jh5qc7A8hR/6CG06RYFOQ2iHq0faENOREqptRx+rEfg0w+hcYCGIWRatTstrqA2ECgfBqr4+qr5ie26U1y/fgi2jFt5NmWGyzvOXEHrF6Go+fmwvlaaP1uB3ziRCgBWLglMpujXvBYzl6Wb5otezLItvPXuYf9p5irlKgFQ2biaJySlkWxCbsLBKGoyKODqsDkmNY0PLi6qhSZv3/927+cSxYxzI7cJgECYicFr8PdOZn9BoDnjjKGvB7/bgcJ3vLhSGJ6sl8kP93LXjGt5p2RQKBY7Mz/KtVoXpVgMhLVZmc/zEph1cMxh1Ot2U38qgM8ykNw+YRQRK0dmnz0mzInFpKbKXC9HRC62UXsmi2ItuV9t3XxwTQrB69eqedtmVDkovVymlc2gPO2lTKQS2FAR64ZsKNehG5yBtm85jhpLXYkf/CK9eNcbfn3pm6eGfKL+UlDFCo3Bl1Lq7ZGxE+mdCCOYTVSbnI90qpQ1p18UYw6rB/ML1tGbnxDi+CklLh1jWoq48qHeclTHESgZjGVRcIANNfNbHaUWfccniswQPP3qcx792ELwAmm3iCZt3vv+1NP0mk6fPcfs91+Ek+zlVrBK6uiebYzpMQnbZQFuTTLncvOzS7KTXDSzj7Rt38E/HD3CkNIdla6yI9K2n2yaMwLUlwhEEyvTaEvxQR3iPjp6sEBGxVKg0zbbHWDZNIhYjYcfJxuCOsZVcP7LsMt/35W0kTOE+Y3CmOp81kuzCLYEMwdiCrjy1AFxpg9B8Z+oEx4+02Job4c6h1fgVj4998Is89Pm9dJlrAaQXEg80xrXRro2J2cQrIc3hiLpPdubFyOgvbEvy7pU3su2aMe6T23lsbga0QUqBkQsMe8BCcI+gLGv0ZUcJKh6KaF0bYwgdQZCxCaVivtbiwaeP8+Sh07z6/hWs2zLET1yzjTcUyhw5c45GrcpAQlCfnmQ29Ojr62NNLsc1Q8M8Mz1FqBewJwZI2jbvu/Gmy87vywFn8t3QxGcymRdxRFfQrlD77vN1VOPj40t+X7duHQ8++OAlX3/TTTf1aO7Pr6Ze7rmr9oNjIyMjvQpGq9V67j94nvacmuQdX9/1w0KIKFnccWyaqDqWcJvnnfUMNdUkZ2d4y+gD/NXpL0c+a1GQoIzGkQJfdY/tcjHUPoLvCIEtLTwdcLo1RyuEtgpJWg6B1twxvGbJePefm6DRbhG8Ik346jzxb9dJPBEgNEjPMPRVSfUaaK2K/JQzb9HOaXQa0J0Awoo4J07YJd724D+CEtCWWELyQ2s2cvPQIHtPjrO+f5C3XHsjv/3ZfyE06oLb3wCB1thS8uqVa7iU5dwE71x9Kx/naZ4unsJH4UgIdEToZzrnKmlkdM7qEP1ZQtDWUSDsSIGUkR+0pSRQGs/36XOTZBJp+mMZ2qrKjQNj3DV86bE8l6Vsh3Zbo8KuN6cXyemoazrSou887EgLjWGiUuYPn36cNbk8d69YTc51+eq+o3zgMw9jVOdKCYPSEloSp2xFZwcDKimwWioiY5Rd2Ivphb2b3ncrN6wfY9lQlv/r+G58Ha1ZKToV3PPMQhAaTTptqDYESptexVRhMBY0TYClJA+dOc1j587yynWD3LVulPu2rOHeesiRqXPMFgvkjCA9V+SsFgwMDJBIJLhn8Hr+aeo7+DpcSN4Q3Us/ufweLHH5rijHuTjZ1L+WfTdQneXLl7+II7rCdiX8/dWg9OJ2OUHt78Wey1FdOzDCQCxJo1HBGPBDteBMTBciKjvkRlGSq7t/GWBNqo+3r7mefzm7h6bySVgOAoGvQwSCt6y8ns+f20NbhUsCXUuIHvW5JSWBVhyanMOxJCCYU3UGc2lWDkVZmyAI+OoTT3KyUmb78hGqLZ9ys026L0Y746PagBDY50LsosKqKywvws2YpHPhwjNgXAvTMIiYA1rjtX3+8oNfBiLW2ae/dIpVNyynIQJ0AjqcRNGfi+j3hLZ506ZNDFyGnVQIwetXb+SagRH+/thedhXO0fQD5mpNfKUjPE9Hms22Q5TsCEBr2SFqMjh2VCUVwmBZBj8waEsSCEFSW8w3m+wYHGbH4NDzWhcXs3OlKr/5D19DzquFgLQzVyImUXELx9NknFjUjiQk9WabUGgOj1Q48p05vvk3U/zJfLigv0JnvXTTwRjwAoSMSL20pZCBXCC16FS5VQoygcX98RW89oaNxGIx7tmxhQ8/9jgVv40tBIqOPEvnLdxOK682hrQVZ3RZHyooUmv6hB2W3SBrISxB2nVYPdZHfaDMyZGDnKjuwzkiydgJfnbV/dx/x61oralUKhQKBU6ePMmBAwfI5XL8zIo1FJpNztRrhFpjjCAfj/GhV93LaPrywdtLXSk1xvxAY0r/te3BBx+8QDutv7+fXbt2XbL19nIB59Vg9AffFuuSX+kE9OWuF7dibE6v5+nSswCo6Njeo3QRArQWPV+/1GdGPAX3DN7Ct+efZbw5CSZieFdGo4zixvx6zjQbTLULLCI1RxC9zhBJtPjAeGMerRwsIZnVdZK2w4oOfMcYw9Hjx/nKxAFWZ/MIy2am1cB/TZbGzS1iexSpooUsCzKHIT5hESYEfgrUmO7CZKPksVjyEcACEholFJ+dP8jnClEC2J2c4jOlc8y06gRaYUnRUyPomi0lm/sHuGf15dtjt+dH+fXkfXx16gDfnjtKLWgz02pSD6PIzKCRGGIYLKlQ2uBrC43AwuBYAteysIXEEdAwBiUEvi1JYjHvNRhJZLh1YNVlx3E508bwrq9/ntlmk4WaYlTGFQI6UF4yrttJZgh8FdIIA8p1j29Uxplq1fFCBVpAC+y8RAbg1E3UOSQBN+piEsagreiMY1wBgaEH2Gz76LRF/l3becf9NxOLxVg14HBbYT2PlY/01o4yC4vK6nyvUQAq2Nw3Qr1cpNRuo0z0nWoZjSEubdbm8qRTmrnkQb7jP8ujJwWucLh38CZ+4prXIpE0Gg0KhQKzs7McO3aMRCLBlv5Brk2s4UDrNIEJ0cbgSJu3j76KVw9ed/k5/j7rioIoAf1iMu1ftedvL3lQ2rXzBbW/V7MsC9/3L/l8ynH5hWtu5Xef+jb1ZrhQbgIgwjzoRfWoqJVf9ED2D0+e4r869/KB697Af9n3VSp+q5Pts3jzymv4vza/mgfGtvCx8Sd4Yu4UgR9gC4u4jCq4xhi0MSSDOMv6MzRbAVII+rJxfNvw6MnT/HBsPTt37qSpFPFUiqFMmtGcJFSalteiWqvTdh3uuXctx3dOc+ypcwTN+nntHpcxYyDmYoKILAgh0LakheTInmmSUhAMx1GrU/g6EqtGR0HbKzav5n233/KcbyGEYGUmx69ffxf7itPsKU5zrlrlbK1OMwiY9csEVkg+lqLQbOOHChNoVCDwVRTjxYRFQgvqyuA6gsFUkqwTJ2E5XDvUz09s3XFBa9ILsQ9//QmaXkA6Ag8vMaUM/kiS5EwbvxEghMAzmlCFOCtcwg+cAi9Cz0QEGd0sRsf5BCG43ayhiQBNWvciX9GpQCtHsHwsy23Dy1ieizGaMjzz5OMUPYuzlZB17gC7M2d7ggXddZmOhVjCRA5JCN4wcjMb3rSKz3x2N1MzVepNn1AasAXppMuqFf0U7QpnVxzHCINQAsuSVMMW/+vkF1gWy7MlvYK+vj76+vrYsGED7XabQqFAoVDgPblBDsVTNB2HtQMDvH7zVrKJ526deqkd1WJGyudj3fbd7xucyRVu3+3pn3YsFosRi8V6v5fL5Yv+ebFYvOjj5XKZT37ykwA8/fTTvOc97+mR2l3uuav2g2f/2glogDeO3MOpxiRnvInIq3eTeiKqiqnFWpBE/5dEMiYN1eBY8xTvX//j/Lfjf8fZ1iy+CZBCsiG1kl9a9zZA8A9nvsND8/uZ8xoIBAnLRXVIFAOtkEj6nCyBZdDasCyRQQp4bG6Ce4Y3cOjAAebKJWK5LCnLoj+WZHUmH+E59TSN+2PcPrQKNRGw50snmW77HZkYsxBfQQ9r2rOuT5MmwnVaRARCrk/MCSnYRTJJCFsOXjGL70u0Xjj7rMxk+cDdryH+PDB6fW6SH199C3cMrmN3+TRnm2UmG1XKQZOy36CpW+Qdl4YKqAceOtSECnwREShaliQlHFpBG0cKcm6cfjdF3LIZTWR5w+g2VqTyzzmOS9k3To9zvFK6yOREiV6hBK4jI5ZaIj/gKYVjJFXTZtbUIUYk2dOR6Al9HSUdsuBWOhUsCUp2gsjzkgRCaxIph63vu52R/gTrYhazRw7xmSNHmAg1ZeMishYhS7XJu5eKusxgXXKEn19/G43605wolii2W4RagYSYZbE6n8O2YCa1FywfYwTSWCgUX517koyd4s0jr+zBrVavXk0YhhSLRQqFAq8srGaNSVNNh/Slc7xy9HrG0s+d/H+pfT288KD0+y4BfbV998W3l8JR3bdiPU9PnePjtb0Ry66J2iUSjoOxDM0wWGidMAKzqAWo29byiuH1fOZVP89jcydpqYDr+pb3RLS358b4gxvegjKaX3rqUzxVOE1bhwgTtQHbQjLczrNt7QhV1eZcUKNJiPQET5yYYKg0y9jYGJtXruTr3/gmlXabgWQS25I40qIehozm87xjy3YSO66j/jafv/v7J/jap59FtINLrzm1uJq34IWNY4HdSet157EaIo82sWISFZeECQt7pcWv33E7mUWH1OcyW0puGBzjmv5lEaOttPCUItAhT82f5nB1jvFKmbLXZiSRplBtMF4qU2v71Jpt6kKQcFzuX7GSN2/Yhqc1KcdlbS5PLhZ/3uO4mO2ciISgjQ3CJ8qaahChxm4pYgjW3LCSs6dK1CotjG+QwsY76SMC05muDlZE6QUMUDfRsQgT1J14IwTaAaQgMRjj93/2Pm7btDQD/NmH9/G1Zw7S8jzQmqG+NI3VHiptWBZP48kyluUTmij4vy23iR8dvBVvwOctQ9uYPNykUQkoN1t85+gEK8b6mSzXqC2bBgymd7sJ4tLG0yFfmt3JlvQCTmW22eCLE8c4Va0wkkrzuhuv5yZlekHqzieeIJ/P94iuksnkRVkfX2pH1d0Lnq+jarVaaK2/r9p3r2RQunLlyiUP//Zv/za/8zu/85x/fqlgdTEJ0rp167j//vs5ceLEcz531X7w7MVIQD/X9ZbFh/iRsfv4PxN/g6c7Uh9C4AgbISTCQPs8jdLFEAlPe4zE+/ng9l/kQHWcOb/MWHyQLenVvf3uF9a/kV9Y/0b++eyjfGziGwSd1ketfAyClOhnU98Yxmhm/YjlVGJxql7gq088zIib4pV33Mnjhx7mUHmW/lgSS0ikJfAxxG2L+8c2sH3rMOH9d/Otx47xR594BN1QiIBIMuZie0C3D7UHM9LE4x4JN8DuaWAa0vkGycES0giCtk3oSYyS/PoNt7Ghr/8iF760rU4NsCrZj6cjIqHARNqpR2pT7KudYbJZZrJVIe8mCALN8eo8Ba9Jy/fwCZCW5Ib0MD+14Q6kkNhSsiKRZ9l5HBYv1D5z4vBFH+9iN6UQrEllyPZXmQ4K+Ari2iIMJc16DIJOgtnS4HeiTReUr7EsgXLA7tZCusFoJ5kvAoMjBG/58Vv5yZ+7e8n775mc4h8efoL5egOhFMYdxFpWQ2Y9ck4Sjaahmr3z6Fisn19d9cPknRj/7tZNHJ2tUm6EeErxleOHSScSNMOAWTFJ3vLpFlu1iaSIPO3ztbknedPwXVgi8olt5fNk5QBH2qeJZRxuXrGF68x1vSD1yNn9nE2ler4+m81e1Ke/1L4evjtSw6tB6cvDXvKgtLuhvxSOyhjD0ekpYkKwrC9LKEy0iUpJ3Q/JWxYFr7Xw5XUTrALWZHOkOn3zSdvlvtHNlx6LkPz3m3+Evxl/ms9M7KXit7h9eC0bxTIemjvDca/AvvZMzwkaYzjXKvFLG97A+tVrAHjlmtV84chRAq1JuS7FZhNPKe5du4aEbSOlJJdJ8L73voZ3vP1W/uC/fpH9e89inEUUfZ1sqtUKepXRrmCmsWXEOCRF7+UqHQPHwggI4hZhwiKMCfyS4a3/79+hpSA3mOCGTct5402buX3TSp7LbBk5mO7P4PDa5Zt5xcg6qn6bfcUZTtbKDDlp+uIpZuYLKKXpS2fYFkuwwZO0jp9kcHCQoaEkaft7xy40w4hUyk8LYgWDUAbpR9VPP2MRINg5WcDWGsuWCDvKgFtSYiwLXa4hO8lqpOjQDi664xcHpUJgLAkxibgpw//z46/m3s3rLxjTbKnOt549SToVZ/XYABhotz0m9pZYPxznVZvypPuynEu3kEmHa/rWMuik+btzn+eZ6gG00birHF7TdyvvSN3Bof89xcRMCU8pZCaMqqSdlHoQKuxYNI/n2oXeGA4U5vjVh79O2WtF7brAXx/cw3u338htwyvYvGIlcRYC1PHxcVzX7Tmtvr4+LMuKJAs6LfovlSmlenrIz8cajUhw/PvKUV1BO3PmDNlFGr+x8xJQ+Xz+gqposVi8ZBvu+Ph4r623y9Y7Pj7e+/lSz121HzyzbftfPQENcKZ0BhQMWwNYrk1be3SdojQ+ngqXBKIdBCqWsFiXjBKGlpBcm9tw2fd52/I7GXAzfGryCU5Vp1mdGuG2/m18/ewpykGdo81TBDpqyzEYLC3x+5Zzy423IKXkdcs3M14rcKpeoj+WpK1CSibg7swQW7KDSCmJxSxe95pt3HP3Jv70nx7jnyYPUFkTLCE6XPgQi8ttBsdRuB1psa6lXZ+M6wGGtNUmk2mRkCGONDxU/UMeqWoytmRtYhNrkjexLf0Alrz88VEIQdyK/IqNBRbc2L+GHfkVNEOPE/U5jtRnqAYtsm6S6VKBWqtNJplitZVmRyuNt/8UAwMDDA4O0p/+3pLPANPN+sL4MDiWAqkYGyrTn23guCGhlrS1Tcw42JZEm4CmdJA5Q6MKod85czg6YsfVQExAW2AWzSkaUCAUxPI2b3zHDfzCG+64YExKaz594AjNULN1bBkCQRAGnJktE5sxvH10gP5shlIupJUwrM4t45rMaj479TifnX2cpvKRCG7IrefdK19HYW6aR2oVmiokPxQiep+WiJnXmAiCpFo0lUfGTlIPW/y38b/nZOscqsP38bX5p7glt5U3DL6C5cvWca2V7gWo+/btwxhDf38/AwMD9Pf393zEyyUo/UGWhPlBtpc8KO3avzbOJAxD9u/fj/R8bNuhrFvUQw9tOvTboeS6wRGKM62lCYUu654lL1oRupQlLIf3bLyTf9O3iUOHDnH3zXdzslDi4aNn2dOeAjrg+g4BQNVRfKM+x3rWAPBjO3aQchy+dXKCuu+Tj8e5xrLYJATVanXJYbC/P8V//YO34/shv/ufPsPeA5OEyiBCjWz6yGAR8MWPAlQT9TH1zDgWOBYYQ5Cyo4A0IcCO/FyYAO3CvNfi6/tO8NXDJ0j1xcj3JZCuYDifpGkHZGMud4wt55Vja1mRzF1yfpK2Q9J2WJbMUPZalBp1Th48TGzlIJu2bKEvkcSWsqcHOj8/z6FDh/B9v+e0BgcHicef23Epo/HCkAOFOb4yfoJGTmFi4KcErUGBUGC1LdyGwepkPYUCmqBtgVMLEbaFVhqpBSTj0OgwKJ7HLNWlvzBSoDIxTMLFGU0x/CPLqSUVy4cuPifHJwvUmz4rRnK9C8UTMZYN5qgEGndgNQ2vyVhFUD9TYSpxgr9J72RCT3WYAyWeCfhK8REajQbXrMkx8ewcRhlMxYY+oj4jCwIREoYKC8FoLMqIN3yfX33460w1akvi60Bp/vuzT5Jq7SJvxfnhrZv4+VtvYMWKFSilKJfLFAoFjh49iu/75PN5+vqizoGX0lF9N7plUkoSz6M1+eVgV1qntCt5cCm77777+MhHPnLB4zfffPMFj+3atYt77723R2bUtS4G9VLPXbUfLHuxMKWyww57qcOwMYaJiQlmzkxj52wCqSh4VcKO9okQhrRMERcuLeMtiuE64xUCWzz/vUMIwb3D13LP0DV89atf5VW3vgo75rK/WOKJ8gGUiVp5IZJd0VLzbXGWt3bGfsvgCt69+Ta+cOYQ0606rpTcaOd5jclTKhQZHBzs7WWubfP+d76S9/NK/ufjj/P3J/fQcDoM6ZeopkipsYTpfUwpNGnHBwNxKyTjtElaAU7nNa4IyNgeAphs72Lae4b91T9jyB7AkSEJ2UdShkgjybpb6IvfQ9LedsnzkSttXNfmpv4U23JjlNoNJo6doG3SbLp5G4PZPHHLWaIHeubMGQ4ePEg2m2VoaIjBwUHS6fRznsEiiR6fRnCOSe9hXrP+YW5ZU8N2FI6jMEg8bVNRCWphHBBoBI3A4EpN2Y8BkpilMEYST7WpBzYdzbWl/4g6rAwmYt5VBltabLp+jFI6ZNW6gYuOcabe4HS5ymB6ocvIcRxWDvRzrlKjNTJGQ0Jfyyc5U6EhzvGx7D6+4u8DAbaw0Eazs3qc3z3+j7wmuYHH6lVCrfE8mxTRmKQUGKFo6jYCyDsZklYMYwwfHv88h+qn6Wr4dpu/Hi3t45HiISzSXJddw7tWvZZtI9t6302hUGBycpJDhw6RyWQYGBjA9/0XdDZ+MeyF+PuuhN/3U1B6Vaf0X8Fs28bzvCt2vcs5vmazye7du7Ftm3fcdBu/9cQ3qXltEJ1bUkU9F6f8GRK2hUDS6lTTYraNKyWnaxUqXvsFt45KKXuswGv68+SHYpjZaIF0W4MdywIBnz15mHdvj3CbrmXxlm3beP3GjZSaTTKOQ7VUYm5ujm8//gwGw8aVowwPDzMwMIBtRxv/f/79twIwP1vlIx/6KnufmSAIOt6q7YF/8TkyTsQKayTomEQ5RGQJgLZBuwubjnIMQUbg0Wa23UKjOFjVSFcjWoZvlY/ye4e+xcpUgletSDMdTOFKm1tz21mfsigFpxh0V7I1/Sps6SK9gNP7DjI2MsLmjavphHVgDJaUDA4M0N/fx4YNq2k2axQKdaampjh8+DDpdLrntDKZDMebE+ytHaGtAnbOl3hyfoZAG7QWBL5F2HAgYyHiAhFIZCPSCzU2GEsQq0SBqbFAuSLqxnEEVmAwthXhSuzLb35hfwJvZQ7jSIQlCW3BuVMVrrt9JRvzFz98i66j61a4iX6erzYpVpt87OvP0s63EYOKm9Yu59q8zUR5KqrKagEyag8PjeKx5h5+/oZ38thMG+MpgnmL+pom2llIThhjCDGcrJfwVcj/9/TDUUB6ic/UsAOCpuJvdu0l0JpfvutWLMvqVUk3btxIq9WiUCgwNzcHwDPPPNN7Pp/P/6tWTr9bjdKX2rm+XO38Kub4+Dg333xzLzm2a9cu8vk869atY926dXzwgx/svfbBBx/krW99a+/5Sz131X4w7UoHpV09wovd40opDhw4QKFQ4A3XPsCxqdPMByVMl2CuwwVQCz1sYZOUcdrax2A6HBAxtAk5Uh/nxvyOFzQuISKiHK01jrS4ZXA5j5b2LiGvsYWFIyUHa+c42yyyItmPEII7h9dwy8BKil4DF4lqtpmdnWX30UOU9jbZMDDCsqFhhoaGeonYX77jDn75jjvwteKP9j3Gp04epBp0sqqGBV1wWFI8dS2FENE8JG0PV2qsXsxlegEpgETTZzewUShTwFY+2oS0lcIShrnWd5hrfQRLxBmO3Q76JODjWDeQdO5G670IkSHm/jiWNYytBZMHj2Mbw5233IrrRoySpsORkMlkSKfTrFmzEt+vUyw2mJuLCPgcx+klo/v7+1FMUvG+itIlmmqGOe9xtGmhgdBYtI3DmpxFYCx8Y+Nph5qO40iFJSISpnKYRGJI2D6NIEbCDmgEMWxLI1UEJV1glOr8bERHuxukpQlvaENco6WgjuBIMM16NcaNY6MXXSdSiA7aZ6m3rbQ8zlZr/MO+A8hEiJVtsWEgzxtHtvDI5OMYo7FNpGNqiUhKb6I1g718B2uCPOfqNUSQhLCE5XhLOvGMgLYKmPXK7JqfZ1f1MGJRpGN6/wFESDNs8GjxCLNehf++/d9hCdlLXK5duxbf93tV1EajwdGjRykWi70qquu6L+je+V7tuyE6+n4KSn+Q7SUPSv+1GfkKhQLPPvsso6OjbNmyBYQgc+Br1EtEh3lASEimAzyhUCLNcDxOuw0xN4a0JM0gqi5+NwfWxUGpEIJluTT2vETo/z977x0m2XVd9/7OuaFSV1d1zpNzxgQAg8AEMIOiKBGixaBgibQCJT/KlqjgZ9nPeqLJZz9bsiiLlE2Zio9BjGIGGEAQaTAzmNyTejqn6lS5bjrn/XGrqrsnDzAABvSs7xsMpvvWrapbt84+e++116oaIJsmliGp+AE5b3mSrrXGlpLWWAwpJQOu4L/98DwDU3Ohj9ipWd68oZXOmKC5ubmenMViMZpbG7jzvSs4tW8Ob8qFT08iSio0B5VymfhO9cnCv6SoqkGIeiALIovvWwN+ArTQBFHQloaoDhPSJVSWqOUST05ypBC+97hRYaD8JOPO4mf0+Pz/4t7ILzNzUrN5fYmu1B9hFCaqxuVQo6BorfB1gKt9lFZEUyk2df1rbPFTzM3NkclkGBwe4qn4MS5EwnlRV4eKiy2JKFOFJIYBMuqD1Pj5CFqESrgqLtB+2BnVFvgJgeGGFGdlCXB0SHX2giVzopeB1khTEutrYrYrWZViDGmsga9RJ0rcdXcHxhUSpU0r2kklomQWirQ3hcnRTK7I5Gyehkab6a1TLEQKaGBwdpLvljya4oqotEMxwapPnNbgiwBX5GhujFCo+KxIN3O2WCCfnF1kFSNA2fTnp3nf9/6B4Vmvrtd0WQgQpsB3FV84fop/vnfnshljIQTxeJx4PE57ezs/+tGPWLt2LXNzc/T39+N5Hk1NTfUk9cXuSD6fIHU7Kb06Pve5z/HhD3+Yffv2ceDAgWX+oh/5yEfYt28fv/M7v0M6nWbv3r187GMfI51Oc/78+fqxV/vdbfx44mbTd2uJaBAEy6woyuUyhw8fRkrJ/v37iUajdM+vYNqdX9LcEtVuGWjpkzQbiCoLISWWZaG0ohSo570OLLWma4uGM6JVG3RMw8CSBhqNpwIK/mK811ojgeaq/+ZsLOBTxXP8qDRIoBXJmWEezHdxR3+cZDJJW1sbbW1tJJNJbGnwjqY+zo6fZTgqyMz4VAIFMQGGxvcNAiXq86S6ZjyNxqwmZ7KakUSlu0z7L2E4SBS28DDxiUofA1X1d6V+RRvFAr73zfp5pRqg6P1jPd6UK3+GafwCJ46/moZEwNpVf05QOUh5mWXrYtGgNuGbjJs0rX+YSPT3WFgok8lk6O/vRyZ+SKr3CwgRgPDROiAqBGVtIRHYIkCiKWNWzxt6hnq4VFQEW/okzQo5P4pChp1kEXZLiyzL4Ze/PDSocI60FRtnRx7HBK3C/YRGU7CKpDugu/Hy+gQdDQnWtTRxZHyKRMRGCoHjeZzKZEBApCvPbHQCjeaZ0jiHhk9hSg/LMEOFXq1RWoUsPwTj7hzrG1JkyiVWp9IUXJcF6+yy120Qeud++OjfM7aQIN2kkHLZlNcymFLjBJpzxUmeXTjPXU3rl/3etm06Ozvp7Owkn8/T3d2N7/uMjIws66K2tLSQTCZf1Liqtf7xnyn9McbLnpTW8GILHWmtGRoa4uzZs2zevJne3t76z61kiSbLR7s2SmuiUR/b1hQ9hVvQFDwXo7rAKK2pBD73dq+g0Y7gK8XXRvr5ytApNJo39mzg4TXbkdUv3Wghx6n5aTSwpamdxiVJKcC6aBKtFJZhYJvhghlSThR72rqXvf4gCOoUpdHZHB/+629RdDxsQ4IQjC0U+fvnXP7Tz72eBB5TU1OcPn2aeDyO7/t81RvC6bZZs6ETed9KBn/tIEHFB60Qvkb7MnS3FiC9gCBiIYJqBK1Xllk2t6KN8N+6KkOu7QDE8oQUNJ3pLLYRvm+JYkNDhqgMljUCfVXhh6W/4Ce2/BJdsd/H1BqDMGjXSnfhZkJgCSMM8MpF6iz54v9JIu7T1fU+urq6eGL2IBdGxxFa4ClFUH1sOlqh5Nrk3WhYBLAUKhqgChJtKoQyCGyQZVBG2BWuv8YlNJ3qhxL+cbxl954dtfilf/MQr/vpvXzyH57ka989QYNtEFRnK4UQ+G7AwQND/MR9Wy97/zYlY/zkfVv5/A+OMTy5gJCCzEIRyzSwtvlMRQoIQoPvQCmcIOy0B0Jh1q4ZIGV4VCnvsyKmeSqTZ0HOMd+bQ/tGXdPKwsINQAvFjJqn7EeuPgdfvShSCEqez9mZOXb3XL4SrFS4qWtvb6e9vb2ubHuxDP3SLurNpvo+HzW+V4zyLtx0oaPrwdIu5zvf+c5lv7s4sdy9e/cVrWKu9rvb+PHBxQXo2lr4QiFlOEqzNN7Pz89z+PBh2tvb2bJlS309KfoebmATleHWO3RcNtDCQyNwAgcbC1Fdq0tBmYQRZ2NDyAw4kx/iy5M/IOcVWd+wgnd2P0DcDDuVOa/M8ewYRd+lL97E+mTHsiL0mkgLRpjDELfs+nsvBx6NVoxViVZgMdbXOmcK+K2DX+VMPoNZFf3JKpcvlodZs/F+tkU7yGQyDA0NhUVty+L7+RFmY7Ap2cauTouD4xnGswW0Z+ArTVlGMGUFw9A4gYHSAinAVxJtLH4m8iKOX0T6gMYSAZYIfTcNsdwPPi48zKWd2CWTQYvxPsDzP0VnVysdTX8NemrZObSudSOXj8KAj+/+A1qN09z8P2hpaWHNukbOL/xrlPbRykDLqqgdmojwqeiwUGEIhY3C0xpTBHjaICp8ytgYAiQaWwZUlKyH+lrCXgv1vr9ESldqpJS8Z912fvOeu3h2YYTffe6rxKUF1bgsRNgVP1wYoey7xMxLO4ZCCN61cxvThRJDcwsIIVioVFAa1qyIMB0dAHRdDVopTSA0QgeY0qCWGEthoAkwtE2742JUHPq9cRIrR+p6KAIwhImvBEorimKOrGtgViI0Jor1z2j5ZxE+zhQGnvZ5duHcJUnpxZ9dMpmkqamJNWvW4DhOXXdieHgYKWU91jc3N990T9Pa9+1G6LuvuKT0ttDRi48XU+goCAJOnjzJzMwMe/furc+4QW0Y36RoVZBWKHSggIoKdX+2daYYmK5Q1Iqy6yCFoC0W5zd33YUT+Lz3+5/h+PxU/fN9YnqYvz53iM+97t18a+QcXxnsJ++GFdCkHeENnatoqb6u4eFhUhOzrGlIM1TOU/H9MLgqRcy0+KXNe4DwS1b7UwvAXzlwipLjEbfNRbEoQ1J2fb7x3AD3r+xjJhenuSlFJT9GFo9Rv4gdSIq6QCQSIbalkeKheXRDtQNZchElP7SJAXA9iFoIJ0BGzNCDTYIMql5YsITiUf37Yo80IGL6RM3FzzZllavBbfEUolYVFT6N0T9HECC5+qIiq8mpAiwdkC//NxqjP4MQEZ7JHgEEEcPG1RXQNTNsTTLikHfDjYQUGmGGokb1DG1pPrTk/Ymqx1goggTCCcD1wffBCjvJ8UiE//tvP8CK9R0ATM/mw89NmPVCBUAgAqYy+au+v/t3rqa3PcXhM2MUyi5P9Y/g4NOfOk8garMfIfXH8yN4ysAQ1c2M1ggZUnrsbCv/ODCLKSWr1zRzsvNYlaYjqkFX4+BXryhEDQtLmgQq4LIazkH4eRlKoqvJviWv/FldPOslhLiiDP3JkycJgqAuoNDS0nKJyM7zwfMRPriSkvCtiJs9U3obt/FiofY9DIKgTr29GecMlsTV06dPs3HjRvr6+pZ9h+NGuO57OrR8Cxf4UDE9ZjQQMw3ybgE0GIGLJSwe7nkLcSPGp4f+ia9MPlYv+J3ID/CtqSf5oy2/RtHX/PWFJ5h28oDGlia70n2sEyFjZWFhgfOHT3BfbBU/dIaoKA9DSHylkELw3pX31OcolxafhRD8aHqAs/kZItKsiwRa0qDou/zd8HOs3/5GzqYkjU09RCbmKRdKnKOIX3Eo6wI6EqU5GmGqUArjQmDj5C3ckkUyVSJi+yxUojRFKxT8KDHDxRYCQ2g8ZRBbEqtrmY0gLC7DpV3EyJIkNexDL4FeuhfWtDT9PbA8IV389aWLUa2LF/iPo4LjGOZ28t6jaDykiKMNh0AvvlRTqHpBPUw0w06wrv976aupeosCCkGgBU4Q3qteYOAHknIhGt5PQhExDX57//387JqdAExVQhstSUjbrscbBa7yyXqVyyalAGtamvj9193H08NjjOfyXJhfoH9mhnxytLojpfqqZfWVS5TWoWCWUggh8YXCUDbfH68gMVjR3sZ0/DiO6dbfPwJ8HZboRVV7wjYMCsUGGmJlpFxeYKhdHa3DjmyY1F49jl4c7yORCN3d3XR3dy/zQB8cHKzPCddi/fXMCV8LN5qUlstltNavqKT09kzpi4il1dMXo1NaqVQ4fPgwQJ3CczF2pPr4XuYEIflh8YsY+JJ4zOThDVs5PngBMx5jd3cfP7l2E52JJH964gmOzYcLau0rqIDz+Tl+55lvslB2saTBmsZwbnCmUuKrI2d5lWdz8uRJJiYm2L93H/vjMT5+/Gm+PnQGJ/DZ3dbNv9xxN5vTrZxdyHB8dpKc5xI3LXa1dLGmsZmzE7PhIiXCzqpfpRgprfnGk/388CunQq8xrVjVm+LXPvhaGgcz2Fog/HBIXd8fQ5zOooqht5WBAEvjblZk3idxiwacsUiMKcx8AJ4BEYFR0SGVlXCwXwQCIXU9vl+Sx4jli78lA0Q9tC8/UKOJMlpNj66G8JMykEiC0A9M5/CCYWxzPaWgzKUZc/XeuGjhrR9Wfe2i2viUAZhl6tpFhqMxKqGAgSi7yFIFw1IYjWboHVZWyG6bzwfH2TieIWbYFBoqaBGq3tU2FLUK+OoVlxc+WIrVXc2s7grvH0cHfKr4FHpJ0NdotAxDznwpRV+iTCCcKoVX4S8k0Bd6aYpaOH7AOWMMZQXEsCj5tU519Q1WE9WU30je8ClpjalV2OGtXafqNTJ8gQ5C5kA6FmVD25WFaa6lxmea5rIuaqFQYHZ2lomJCU6fPk3iOmTor4UbVQS8PWNyG7fx4mDpDOjNTEo9z+PEiRNMTU2xZ8+ey4pl7Ulv5dnscQIdLNJfdLj2GVLzuta7ODc9SCEosbplFfc272FNYgXnC6N8tZqQ1tg6Ck1ZOXz0zKdJspZZt0hfvAlDSIq+w9NzFyjqBlZVu5jr16/n3/a9is+PHeALoweZcwv0xJt494q7eUvnDqZKWY4tjDNdyWEIg/WN7Wxt7GIgH6pcm1KG3TodoHWoBDxUXOADT34BVRV6Skubj935VprHijjFLDYWpXKJiOsRNwR5X4PSGFKgA5PiQooFQoXWCV/TnC7gpC1WpGdImB6uNglw6uXhiraIi4Cgmt6Fw5TPBwIhNILM83x8QOAfwTC3o3TxKs9yKfSSP742ENUE1FUmrjYQQMU3cQOTcmBS8QxypSh+OYZtmGit8bRAazg2PgOVY3QmGrgwmyPQClcFRIzF+9rXiiY7Rkvk6sybtoYED23ZAMAPLgxxrL+filFYdowWYQKKNrGFIFBeKGqFDrvgc93EbRulYcSZRqQL2NLC1UvYXEsGRi03TdqMMeMpJmab6W6ZQ0i1SI4jTEh9ZRCExGbub9581fdxtVgrpbyiB3qt09/c3ExraytNTU3Pa324UU/y/92V9m81vOxJaQ0vVqf0iSeeoK2tjS1btlyxcrIt1cNjM6eq4gMCNJTyESrFCE8ywzEzj6k0P9+3ivfv2Fd/3JeHTgLV5mAtudYQoHl8epB1sTZ6UosKlg2WxVBhlqcDyZbZWfbv3088HgfgXeu2YQjBuewsAsHHjz7DXKXEZCVPRXtETZPmSJyvj5zlXWu30daYQCAoOS6Ot5SmDNoFyzQIgrBDNzye53Offw61R3G6NEdcWjTHE7Rsbcf5DYn33RnEOQcjYRLfn2bybgVUUL5ARQ0KK4xQ6MdUxMc0dlFiFjUqIVECrBJ4SQG+RjlG1S9N1SOC45m4gYFZrbhWlI0KSVPLqbE1OpeIo1k2XHJF1If3CU8iZXi9NzWs5UJppDqHa+AHQf2okrdYrVRKoBwDEAhfInwwPCAAowhmUYd2L20Bye1RIl0RzkcWiJ4zaP9sgKhoVLXqrhIC92dSHJwf4RsTJ0FAuidOYCqKFRfbMrCEgecHWKbBA6/ewFcvnOa5mUksYbC3o5v7u1csC2hLYfRBZdDHDsRF9GjwCAh8yV2lPaxZ0c13zp/h2JkcxTmLhqiLhUdHY4L5pKakNAlT4EmBt8QkHQGJShLygmYlcDUEAtJWBC/QOK5PEGgMXyC9sIBgmwa/uGcH1lUCwI0khDVxi2QyyapVq/A874oy9C0tLdctoPC/hUT8LVr5vI3bgMUYWesA+r5/U1gQtXOeOnWqPj96pRn1tYk+bBn6NNYSFiHCQmlZZflm5rsYWrJK9PLPeh7CkiG18FvTT6KWJKRAnU6ZcecpMsuqeCeGCNe5qGGicHhWL7BxKMn+Xftoa2sD4E2dO6h4ioPzIyit+c74Gb4wfISJco6872IgSdsxmu04d7espt1OodFUfJ9y4FU7vFVoiAqBGWiQJjl8/uDII+xr72S4ssCUNGi0Y7Q3pNgUdzizkKXoKEwhaIlFsCOSC/kC+OC6FpPTTUxON3FE9LGqbYqtvZP4StBqlzFlQEnZRISPqzUGAbYICLRYNlPqakFsqWDORRCIeptG0MQVO6XXgKjG+rh5R/UnPkJYCF2pFw+CJTM3oUOLgULg6/Dvsg5ZYQU/ylSlkbIXoVhOUCm10mC1MjtTpBIohK1QKJQOqnVZTWMQ5/zcAk+OjFIJfJqjMYyYRUW6eCogalr4KnwFP7PiDp4eHePp0TFKnseWtjZevWolrdX938VY2ZrAaVhAa1GnUC/WzhWGNtjgtPOOtffy1ckzPDs+zfQcxE0w4yVWplLIuElGh1ohtjBx9fKmj1Q25FIkPE1RSPLKYmauk6ZkGdMuovAJlMBTJjVW1u7kGjbGu64a029knjMajdLT00NPT0+dUTA7O8v58+cpl8vX5YF+uec3DOO6O66FQgHDMK7LueGWwo9pvL9lktKbLXQ0NRUudKtXr2bVqlVXvUGjhk2zlSBAU/ZdymUDpxhBEooBtETjzBTyfHrgJHeuWsvOtk4AKlVF3mXnrjadPKXIqxJH88XQ4sVzyHrhYjmB4NTCEf7dXDtvim9ktJDjT48+xVSpQIMZ4cjUFIUlc4qWJTDjmqLn0mjbfH7gBA9v3cZ3njuH4196zQIZVlOjth3K5bseTz83iLVBoCVkfYesX2FUZlmxsom3/O4u/mnyMHmvwoL2cJSPLkusgQiUFt+bJQ3KvYpiHJKRCN//2Z9naj5PyfVJxGy+euo03x8Z5ow7QwWFEVX1jHMql2RF8wKG0OS8CCXfXqbqVyvLRWQD0noNyvvvS0g2l0N4vK/DedFAg2neiSlD2uxrW/fzxPxBsl4eEJgi3EB4gcFCOdywKA1exUSXDYQnMMoCMw+GJ0Jp96jGi0iaO236NieZlh6u8km4NmKLScPvt8CBAvnpIrkmRfv97azuaWO0vICnQ7uBZFOE7p9q5Px35vDmQ6/MzrZG3v3Te/hK9jwnBzPYQqLQHMpMcGx2il/ffif2ZRKoKZHHNCTatxA1r5oqlNasNBr56Z2v5f995BmGpk3cXIyoJfCCgKG5BUxDYifCWdGi72IiMQ2B0uBrjQgMeliN2WzQ6Ps4C/NEpODuaIKJos+gcpjzXJxAYRqSnlQj79mxhTdvWFtnOdS8QJd6gt6o6MBSWJZFR0cHHR0dV5Whr3VRr/Q9fz5J6e2Z0tu4jRcHN7MInc1mqVQqddGsq33PPe2RthrwVEApKKNRCFGpkznjMoavPM4xyHdnfsgb218HQNEvX/GcGk3JL3E6P1EtbDvkVDZMHm34OE8zmoNfaX0TgdZ88tzjHFsYJ2XFGC5NM+3m6t87KSSWiFHyXVoiCZ6YucB7Vu6l0Yww7Vy+IxgEPlHLxjBMTK2YquR5tipUV/Bc8r7DZCVHeyTJuzZu5/DcKEOFeRxVpuhUGU7+8vVZa4ML091cyPRgCcl/f+Ct7GpPkg+mScpmpt0nmSw/ghucBKbrtFiAkraIaLc6DSPw0fWNpqiJAwFgYEd/G7/y29z4wpPEtF4LQNzaR8K6m6L3VEj4ESZUO4OOMqk9o6dD/1FfG+T9KGOlNLPlRs7PtnEu04FSBinTYG+qmRlTUKj4NNgxDNejw2xAGQFzXpms45Aixt7WXrKuw0jWx9fhdbwrupYT3ghzuoAb+CStKO9asYtg3uS/Dz6LUhrTkBybmubp0TH+1T1303GZ4uewk0FKEFqiq93oxeJ9yGr7hc1v4HujM5wa9nAqUSJGOP41UQi7q51NYax3Ah8hJIa0EEITEKAVNDgbiKcaCIIAv5Aj5jvsFym8isugypETZTxRQQpotGK8vmU7P915Z32UDMJiUO1PeN9c2ZrpWpBS0tzcTHNz8zL1/qt5oF8ON7rfKJVKxOPxl91b9YZwe6b0xcPNpu8qpejv72diIvT+7OnpuWbFpCfWRMSwSBhR5pRPJu8RKDBNjS0tpBA0GCa5wOdrg/3saO1ACMGGVCtPZsJqZ21esGbrEjUMZoMcMWwKnoOjllNGc77Dh5/9Or2JFD8cH+bUfIZG2+bY1BRFt5aQhn1E39N4FU1JeniBYj4oU0l4NMYiZPKlxWsJ1AYq8jYo3yMiTJTQBIFirWxhVbNkslwg7zu4yue+tlV0xOK42qOow0Dmo+FCDFGRKEODDrvHIgB7TuLF4W3rN2AbBn2t6frz/+o9+/hVwk6y4/v84/kTPDU3jJaK1clm9ne08KWpbzPhTHGu0M2mhlliZjiDI4QgaXTw1vYPY9q96OAZAnVoGe23hlpvz9UBHoqyVviyk/aGj9SPabJS/M7aX+GrU49wOHuCiLRptbq4kDVJmQ6NZoL9qXVsT3XTl2ikO9HIn339SR4/NUReubhBSG31oppzsTITYx53pRqYiPikTYsKikzcp+mNaaRKEA0cVqVDoYpZp4glDZTWzLkluntS7Pi5TgbGZ3moczs/u3MPXxs6y8n+DH2JxnoCWvI8np4c457OCe7q7L3kfTeYEaQQ2IaNCgyUdOpUXiOw+G/730f/+DzDcwv0NafIl1y8ICBqmZRcj7FclkKgsRJhp1VpDTpU3YtLg6TbzVg+X+9edzWm+K19d/PMhTG+f+QEJtBqWlSEj6NhdUOCt2xYSyQSWTb3vHSzKavesjdjwRdCXFGG/siRIwghlpl5L+2i/tgnpbdxG68A1MZNblYRenx8nBMnThCJROjt7b3md7wt0kzCiOHikTRtFrxZnGrMlhhY0sSQAsd3eXz2AA+0vhpTGmxrXMuT88cWmT1LIJHMey4ShZQ+vqgljzVpHsUXxp8kbSdYHe3lmdkLWMJgsDTFjLtcV0ChqOgyUR1j1imSNKOczE2wo6mLRyfPLRtIqdErK9JHKUlEhN3bQIf7li3pdqYqeebdCiXfZUU8xes71/NE5gJlFe4xlAkUZSgSsUzEb/F51qWbuLOzB1NK4mYagFXW21iVeFt4qNYsOI8z53wbpTJEjA6aIw9Qcf4Ox38STzlobWKbLlDbBzXQEP93RCJvR+gRPOdPll2H2p6tpry7eH0ALGKJ/4oQyeqxkr7G/8xM+VMsVL5EoPPYxmYcTKSfQYoIcfMOUvb9RGUnDVYf/3RhjEf7D7DgOJQDryqspMlJj8dLGfYaSaQhCQSYEYuCdkiqCG0yiaFNtjd31AWJNBA3TfKuC1qyO7KW89kZ1rU282/vfg3DCzk+cuxxUpEIqWo3LlCKCwvzfPv8AO/bueOS+zRu2NWmiIHWJq720FrVL8VvrHgL6UQrz4wfoSkaI9CacrFAxAiFjzKlEvlAYrbZRGPhdfeDUH/CMgwSsp1MOWBazwOQsG3eu2k3q5sSfPTUN3B8j3gQwVOSsgyI6ARvSu8gFQ0T6Nrc88UJam006WbE+1gsRm9v7yUe6GfPnsVxnEu6qDXctoN5ZeNlT0prME2zamHx/BX5XNfl8OHD+L7P/v37eeyxx64r8O1Mr2RVvI3vjY/i+OAEZlg8VOBXB8PLwqGiAx7LHCU1kKF/wuLUzFx9cD9YsnAaQtCeiOIrTd69OCGtT/DhacXHjn2f8WyZebdMzq2Qd2odp0W1NAGUnQDX15wtzmLEFZ8YeIxcObQOlYbAliba93GC0IPKCzTloo9j+gglQGlGPpXBSkia9yRZd3czY84C816Bk9NDtEUTdMfTzIyUcE4H5C9ofFvhJJcEKxEmpmuI81Bz+1VtMyKmybs37uTd7Fz28/W6naNHj9Y72Hl/hml3gCarm2ardzEYNXyawP8eQeV/YeoJBBGQHWgRI1BTuGqGCi6e6MSO/hTN0XcixHIqWHukhV9a8a5rfv41/OufuI8VXWn+9LGnCJRGxMFsMYlJKPgePyxm6YtFsH2N7/tUhKbLamJDSx/fzw7UX/tSetUiRUxgNknSHTEMKXkuM4kt5bKOaNyy8EuKU/Mzl01KX9+1gb8fPISjwkqnUjaqOhuVdpr5+skLJA0LdHj925JxRuZyuH6AljBBiaCiiVxoonFlFmmFnVutBPc27uT9O1/Lj8ZGmSwWaInFuK93BQnT4o/PPU48YtMUi4HWBEqRK5U5PpXhHx/9Hmtbmup+cTW591qwqhlTCyHwPO+SLuoLwVIZeq01uVyO2dnZy8rQ/7jTd28LHd3GKwkv1BZGKcWZM2cYHR1l165dDA4OXuLzeDkkzQR3N+3kn6a+je87VRGZWplTodEUlUNF+4xVpvjY6f+PBltwtjBQj9vqokJpVDTRbCfJeWWC+tiJWPLf8HGfHf0R7bKPyUqeiDQoqtIlygoh5VRRVBUKZQdbGkxVFvCqgjumlFjCQCpNUfv1R5cDn0rgY1R1JUayBSbyZTrjcTam26goD1d7fHnsOAEBu5q7mSwVmCu6lLUfCufpRWpy7a+ElPyL3nXkFhauqIouhKApej9N0fuX/dxQ+zhz/DCxWIwdO3YgRAnPP4AQSSxzF0KE1Gg79kEM+w245f+K8vtBKIToQMgkWhfQahqlywhSWNarsaPvxzBalz2XFDHa479Oe/zXr3EHhPjpdSlWJdP82mP/hFYaU0I0YmAYkqLv8WSQo1PEaZQmeC4FrYhELd7Wt4EvXBhY1IdY+vmJxetnC5s4EeKmzemZWSq+T9eSeGJISdK2OTQ+cdmkdGdqFS12AzNuHqEFSsl64mx6cZ4ezJMys5R9j86GBoSIkymXKPsephAsKIf5isKcaKa7e55I1EXI0F6nmS4+uvPnOTwzzZnsLFHDZF97D5tSrfzRqa/hoehuCOexlVI4nsOMW+QzR77PnWbXMm/YWtG5FuvL5XL9cUEQ3LRYv9QDHcLuZq2Leu7cOaLRaP33Sqkf+wL0baGjlwAvVJEvl8vVDdv37NmDaZr1L8y1YEmDdfFVfE9NYskAZWpcP/QTKwcuY+XZKjXFIB2Dz5wcYa5k0GhFaTEamA+KKB36jPYlUmxIN5ENSrRGGjgxPU6u/kyLZFRJWPU7uTBNA3FsKTG0USW7LM5IasLxTACdk3hK4M0LprwKDQ1R1AIgNK7yWFJIw/DDJ1AugMJ0Q3EEpxIw8e15yhMu6s0ST/vkvBJtkUYWDlRwHlcELtge2GjshYBir4E2BahQ++3tK9cTFEs8/fTTRCIRWltbaWtro6mp6aoL0NjYGP39/WzZsoWurtA+pNFqo9Fqu+RYIQRYrwPrdZeVUrCrf24mLNNgyipR6gywkRiGCVJgyjD4OB50J5qIWGEBZa6U51xpgU5H46giI0MeqWicVGuUcT+HFIJmO6zg5X2HiDRZ3xC+V1PKeld9KTS6HvAuxqbGdn59w738af8P8XVNMVjSQgOrdRuPnhng9evWgAAvCOhuasQLFJl8kazp4kuNIQQxncCd04jGApYhMcoNxCJNtMYTvH39RiDs+J+bn+Pg6AS5ioNlGpQ8j5hpYhgGqYYElXyBvk2bWd0QY2ZmhiNHjqC1pqWlpR64stksFy5cYOPG8LwXd1GXUn9eCIQQpFIpUqnUZWXotdbEYjGmpqauS4a+UChcVijlZuHQoUO8//3v5+DBg1c9bmBggM9//vOsWbOGgYEBPvCBD5BOpy898DZ99zZeQXghnVLXdTly5AiO47B//34SiQQjIyPXfb5NydV8OyPRgUEouRcmxwEBk85MqHskwBYNnC9foFRcICpt2u0G5r0SbjUgNxgxNjZs4Fy2zJpkC8P5DKN+9pLnE1UBv6LvMM0CEWkQM2yKqspyqlWfqwVuran6Tkr8wMcJfKIiGrKxtMbTft3rFJYI0kCdRhqgUUHAUC7HTLnMptYUUcPkXH6GlB3D82Bs1sX1VRhfq6r5WmmEXpyc3dXaSW8kxrFjx1BK1df11tbWq66huVyubsmzcePG6hqfJGK/7rLHG8YGYg1/fl2f382CYQoc6WFZmohp1eOQFAJXKRpiEXoS6TDZch1G8lmGJkahVOa0U6IlESNW1X+o+D5t8QSWlHhBgKt8dnaEY16GvBzfK4yxpnH52GdJg9/d+JP8nyc/S86rUselwNYRVgXrOTo/TXcyScy0KLgeTdEoa1JphvNZFrwKHgopICFjOHmN0lksK8BSDZS8JhqtOK/pXs1rulcDMFbKcnh+nLP56dCTVJWxRAQpJbFIDEu7pLu62ZrawszMDGfPnqVcLtPUtFiQ1lpz/Phxurq6LqHn38xYD9Q90Pv6+giCgPn5eWZnZ+nv78d1XQzDYHR09Lo80GtJ6YultH/TYz3cpu++FKglpb7v33BSWqPwrF27ltWrV1/ih3Y9ODo3ScqK0RpNkLUqXHCLqKqauKdBIIlaAe0NDZzKVDBE6MfZYMZpsCIsOGVSdpSvvP69/MXZx3k6k6e0kKPLiDAuyqiLboDaPyWCNY1NnJmfxffDrpfQNYVWsezmq2sHKYE7bRO0++g5A1WpyYUDMlTENR1d77YqGarqgsQUEuUqFk4UaLwjyeaOTk49OsKFg9M4Uz7KEGhbIgyJlqH6bGJO43ZaaEKPrHhTI7t2bSUIAubm5shkMpw4cYIgCGhpaaGtrW1Z0NJaMzAwwPDwMHfccceLutl/IfB9n+GJcbQfdsmV4xEbh+i8whZQaQevRxGxwkW2JdFIgXlaS+0kPzVCPpOlAOhmgflmE73Oxgt8RkohReZVbetYn2wHYF97N89lJij5HnEzvE4LToWoabKtuY3vXRjkq6fPMFsusaOjg4e3bmFFKsV7V+/hSP8UBxaGaIhZdEZaaCeJiAkGSvP4aFY0pxmcWaA9Gae7OUlFBGQDj4RtEqAQXXMQcUIVQaHx4lm+7zzLz7k7abYbGFxY4M+ePcC5uVnm8mWyhXB+VQpBzDToTaVAg20adKUa6WxrWdatzGQyDA8Pc+LECQA6OjpobGys3w9Xov4IIW5aZfViGfojR46glLpEhr61tfWyAalcLr9o1dNa4Dl06NA1j3344YfrwWxgYID3v//9l3iA3sZtvFKwlL77fDql+XyeQ4cOkUwmufvuu+t7hRuJ9RdKQ9jSosNuxdM+Y5UJgmrpU+ua/Yag0WhjOgi1KQKtiVgWnWYaJ3DxtMdvr/tFRktlzueeoJjPEytpYjGbklo+77+0m9Zhp/CDPCU/tJcLlmaULE8wa1CAEj4gwqRzCYk4pPEuX7sE4VptCAlaU/Q8RvJ53rN2F18fOcNItkCu4te9N+uPEiAMgV1VpHVVgGGbbNmyZdnaPjg4yIkTJ0in07S1tdHW1raMPjkzM8PRo0dZs2YNK1euvCVttbTWDIwME6hQvqrohdcjLAxoEGGiCeE9G49Esd0ysrMZYRYZy88w4mWRGgzDxHBNDA1jhRyOr9jU0spr+lYCsK29nQbbZqZUoq0aUxzfp+T53NXTw9nCFF8aO8z5YoauaIq3de1kd9NKtjWu4GcaH+TTZx4nZmuaos206FYMw6Rk5umfmeHO7m4eGbwAaJqjsVB3IesQNSyUgIZ0FrsxiybskvpmjqxV5Hj+Atsb11D0XT5x9kmenhmmqPL45hRCKpxAIDFJGS1ERdjhbY8uWrds3LiRUqnEzMxMPUkFSCQSdHZ2YllW3Tu41kW9mu7EC4FhGPXEeMOGDQwNDTE+Pn7dHugvZqf0dqy/cbzsSelSRb7r7WzWoLXmzJkzjIyMsGvXrrq6XQ2GYdQ3vddCrZplCIlDBRn1URUDlEBpQTTi092eY8G1UVpjGQJ/iZpZzLQoeC6ZSpEt8TYeLZzEMmP0tHcwmvGZKIXD50uDjUTQGmkgZVusSaUZyuWwTB/XuyghFYBLWMEUgAStBPkZiW2A1BD6cGqQENMCo8lABxq/qOrHB0GAQoCpoSJYnW1m/IuzVH7oEjgqNGBWGukHeDHArPaHsxrVEoCUWAkDyzbq17cWlGoiNDUT7xMnTpBKperdsnw+z759+25ZSmSN+m0EAuFJREnT1K8wyoTerEDyAsw5C8QeasWwJXm/QnGkwD/9rx+Bq7CjVauDmYDOz8P6X+1gUhUxTIN4LMrZ7Aj/+cwCdzavZX/nKo7OTnFgajzsemqImAav71vL4wMj/PXRo9VNg+ZkZoavnTnLx9/6FnqjEUrTedr9NOvS7ZfMN5mG4Ndfs4+/fvII5zNzoVqjrUlg09fYyAVvDB1xQImwgq9ASkFJV/jy+EH+We89fPStwVABAADh/0lEQVTJJxhcWEB7mmxxcYOltKbo+ZydnaUpEuXulb2sb10sMCztViaTSY4dO0Zvby+O4/Dss88uCx4tLS2XUH9q39WbHbSklPXn7uvruy4Z+ho1/cXAO9/5zus6bmBgYNm/16xZwyOPPHLZY2/Td2/jlYTnI3Q0OTnJsWPHWL16NWvXrl2W7NxIUiqFBEIdCCfwUPU5R121/xK4vkVZevgEoemYVgRaYQgjVO8NHKacGTYl1kDZY9Ivsaa1C6ks+ouD9eda+nVKmylsw2RDso1zhRl8LyDAueTYWre0pngKIT030EspieFrlchwdAdwqjoIiFqnNXyPCo2hLWwV5cJckZLn14vktcJ17Yk1mkAvek832pHqcYtr+7p16yiXy8zMzJDJZDh79izxeLy+DxgeHmbr1q11NtStBq01/f39ZDOzgCCoGZvWCdrhX1PFMp0xl6Rt4ytFznH43NBRPB1gGkZ1flchEoq96TQ6r3DLFZpjcbKlIn/85OPs7ermgZWrePvGjXypv5/zc2GBWgrBjo4OWloNfuPwP4RMN+BMfpIfzpzlN9Y9wFvatjI5NIGZTbK+uxupF2OhFAJfKX5u206EEDw9NsZEsYCjPBK2TW9DI6OVGaxktupbHnodaEBKxd+MPMJHt7yfvzr/DN+dPEeDBToyiVG1f1Nao/CY8ydBNdJpt3Ff67pl1zEej7NixQpaWlp49tlnaWxsJBKJcPLkSTzPo7m5ud6gsG37qroTN5MxZZomiUSCnTt3XtYDvampqZ6kRqPRF3VU58WI9fDy0Hevt+N76NCh+ms/cOAAf/mXf3nlju9l8LInpfD8qqee53HkyBHK5XKdwnMxbuR897Wv5uj8BBXfI1NyCQAZVSilMaRCCcFCxaI54iFEKGIjl9hCu0FA1DRRhRLqzBh3p3vpV3kuFGZpjkbIew4Fb1FR1xSSn1uzm+H8AtNOmb5EI22xBHONJU5Mz5Iv+3V6p3BBuuEmnSo9R1etPLQJgUH95wioeBoCjZaqHnUMwi6UACLSwkfRNBvn2acGSEajzDtl6pwgDYaj8M2QwozSRGMWkQYbIoJ1rZd2OpeK0Kxdu5ZKpcLk5CSDg4N4nkcsFmN8fJy2tjZSqdQtpXRWLpc5dOgQ0USCGS2IlAXRMYVZrl7b6mCvsKAy5ZA/U8TYaHEqN0X6QBntKkRc4AmFJQ2aog0U8xXWjXfwCz+3jT89821Gy7MYFRhcmOK56Qvc07SWX9n0au7tWsGpuQymlOxo7aDRiPLuH/0jAkHMqioH6nA2+f99/Ee8O93InpW9fGd4Aj8IsKoMg6LrYRoGG9ta6W1O8TtvupdPHjrEY6NDeI6imPcYzmex2/yQrLZ4uxC3LBSKp+bOs1auYjiXpSUa5ej8NLq2QqhwnlhQVetVmg/uv/OyVfCJiQlOnTrFzp0764Wimtz7zMwM58+f59ixY6TT6Tr1uybHXktSLxe0av//fLB0pvRqMvTHjx/nb/7mb5ibm2PXrl0vaMb9heKRRx65hFXQ3NzMoUOH2L179/KDb9N3b+MVhBuJzVprzp07x+DgIDt27KCjo+Oy57tu+m7DOh7NPEYxKFHw8whUdQ9CPamzDI9yUKm6YAfIKosDINBhoprQMQaP9LPf7OVIwzyjbpgApIwkuSC/TJRoZ+Mq1kZX8dTcIKsTLexq6mbBLXOhOMOMmw8ZLDpUhA+UrFJ+lyeqFyeQ4V8Kj6B6gAYdjthIET7elgZoQU8szd+dPYolDAzhLx8dqakmVZ/ANCRpK4KPYnvrpdcaQhGavr4++vr68H2fmZkZLly4QKFQwDRNZmdnQzZRS8tN86K9GVBKcezYMQqFAtPNCcysQTUisnzxCzvFQ/ksG9MtHJufouBXCIwAE0GgFEhJUyRG0XeZjyv+xwPv4KNP/JDnpqaQSqHUDMcmxvjRwHk+vP9eNra28NzkJBXPZ01TE7u7O/mV5/4GR3nEpFXfB1eUxycGfkByKM+qhgaaKxXynkeqap8UKEXBdXlg9WoSts2v3LGX1ek0f3/6OJWKRyXwOZ+bp605QAiNUovJtiVNooZkpJzhTH6CH2UGabBsyuYgl1v8w35HkfesfIhm+9I9dqFQ4ODBg3R3d7Nu3br6eygUCszMzDAxMUF/fz+JROKquhM3s4u6dKb0Sh7ok5OTnDp1ij/8wz8kEokQiUTwPO+aYz0vFm4o1sNLTt+9kY7vI488wu/8zu8A8LGPfYwHHnjgmonsUtw6qwXXXz0tFAocOnSIRCLB3XfffcUb6UY6pW/u2cTTmWGezozgBrq+yEctgZTgB5pcxaaxA5IRzUIZ4oaJ0ppK4OMpxQPpTs4cO872LVt5fXcXxxcmOZ2dQgrJ1nQnKPj2xFkyw2O8d/vdrGnr4qmZUT597hDnC3NEpUlF++zqaWd60mEwl0W44LrV91BTPaqOEwq/Jkqglykq+Caocth9ExKEr7F8kIaB6/iUyx4CweNPnMVzA1KJSH3upXYeGWiEDknBRsrCaovi+gH7V/SwpfPSGdDLYWJigsbGRrZs2VKn/hw9erQ+m9LW1kZLS8vLthBASAerzb6kenqYOHgM05PYxWrVeYnOky1NFAHTQ3m8PoEhoWnewBM+hjTQgKcCXBnew6MXZvj+3BnmcdjU0ocgLKbMlvM8NXue1KTLxlQXr21rw0o1cLI8z9+eOYITBCSWXBMhBAaC56am+K2d29nT3cOI8yT9U7NYRiiAoIG7VvawsyfcRPxwdJgfjA0Rsyy6kkmCIMNMsUw8UKERenXTErcs4qZFwa9gCUmmVEIFmrOz8+gl9xQGaAl4YfW+4nkcn5qmO5Vcdj3Hx8fp7+9n586ddVECWC73vmHDhmXUn/Pnz9dnk2vdyptN/bmSTP3FMvQ9PT3Mz8/zJ3/yJ3zsYx/jb/7mb3jLW97Cr/zKr7Bjx6WCFC8mFhYWLvvzubm5l/R13MZt3Czc6GiN7/scPXqUQqHA3XffTTKZvOxxhmHgLSn6Xg290W5e1bKf72Uep6JL9eKcFAZaC5RWCKGRwidBIwvBLJYwEVrgaY+yqtBptjJ/bJKuji5+afN+xirzHF0YxVEeffEWVsab+W7mCCOT4+yKreDVG/Yy6eQYrWQZLM0RkSaeCuiMpdjQ0MEzc4MIIckH4XtY3C9qtA4T5irDdslvquM5QdVfvQqpBYaU+CqgWL0mz81O4ASKhGFXi9OLz7CkP4gUgvZYnLLvs6IhxRtXrr3m9ZRSMjMzg+/73H333QRBQCaTqRcfayyUtra2a873vZjwfZ/nnnuOIAjYt28f//NHXyNQuuo3uxw13+2ZSgkjF9JtmyIx5oMihqiOmqmAku9hS4OJcp4nJ8Y4ncuyrrWNiGniBz7FcpmzC3N8+rHv86q2Tna3ttLY2cmFSpm/6T/EaGkeqxrPIPx+RKRF0aswGi3znjsfYO7oUR69cIH5chlTShzfZ3VTE29YG342I/ksnzlzkrLvsaoxTcQwGMgtkHNc0rUChQbbMEjZkXpXNu+5oTiWPYePWy9UXwwhFCdzw7yuffOyn+fzeQ4ePEhfXx9r1qxZ9h5qXuOrV68O9zyzs1fUnbAsiyAI6mypF9pFvZKo4cUe6KVSiV/+5V/mz/7szxgZGaGtrY03vOENvOc97+Htb3/7dT/fzcCtHuuvt+N76NAhPvKRj9ST0ne+8518+MMfZmBggDVr1lzXOW6ppPR6qqdTU1McO3aMlStX1iszVzvf9VZP46bN/3XHG/nk6Wf4H/0H0CIgYkpsKQk0BMJHaUHRc7hrZYzT40lmyz7zToWIYXBnsoV7fZu9e/fQ1NQEwM6mbnY2ddefQ2vNxlQbz+SeYfz0eby5HBva2vjQ5nt4cnaUyVKe3kSK+ztW8bfqGCPZPJGogec51XkHXQ+gQgvMCtSXkXoZtdpd9cOwIxo1ds5HuaAU4IYnaEzHUBocJyBbrHqKVatcLA2AAsyuCIlIhAe3r+Znd2+v299cCbVEr7W1lU2bNiGlJBqN1qtV2Wy2Xlk9fvw4TU1NdZpH/Apm0i8G5ufnee6551i5ciWrV6+m7Pv4lSrtyRChuFVVubhGbYpJi81tnZSaHRb8PKK9hDfkLOuoeSq8h9u6UpzIjZEyY/VrZts2nVYzTknT3LmCLlo5PH6Bz5w8w7zyKZZCWk7Rc0lYNlJIlFL4QYA0JJ1dXTRGI3zo1ft5fGCYI+NT2IZkd28X96zuq3dOvzs0CFA3597Y3oo9O0+m4CCTZYShMYVAS0VFeSAE97duolM0UPLDaitwUameUO45AC9QnJic5g0bFjcto6OjnDlzhl27dl1zbrhG/VmxYkV9NnlmZoZTp07hum59I9Pa2npNy5nrCVrXq77b19fHb//2b/PFL36R3/u936O5uZmvf/3rVwwaLwcu+1pud0pv4xWE6ylAF4vFkMESjbJ///6rFi8Nw6BSqVzx90shhODN7Q/QG+vmLwY/RUW5SCSmsNBC4wYeWigCHRCTDXRGLEpBnnxQxBCSTtnKnuk1bFi/gRUrVgDQF2+hL96y7Hne1Xs/Z8tnGRwc5JhzjPb2dn515f0cyA1zvpghZcbY07SSjFPgmfkhbGlgBlXPS6C26ApAabl0lHRRe4KakFJtjhSCICzC+dVMKyZNGq0oU0GRYuBiCEmNdFW/JtVzxAwTSxrct2IFP795F22xq48weJ7H0aNH8TyPO++8k0i1m5dOp1m/fj2lUolMJsP09DRnzpwhkUjUR36u5it9s+E4DocPH8a2be644w4MIywiBzoUFnQval74SpGyI8RMiwe61/KjqRHitsFcoViP9aEgUgBoOmJJzs+H1NxItTNsGiaphiQppdCtbaxdu5ahyUn+5HuPMFgpoSIaryXAVwphSqyqpYrju2igs6cHwzD4+Z072djSwtNjY5Q8j23t7dy/YkU9tj81McacU2JNY1jM7U2mEEIwWFAoLZBSYQiBITWOcvF0wPbG1axuaMc2FMUlUpyXg9bw7MKFZT+rCYuuWLHimsmGZVmXqOTPzMzUdSdqY141fQdgWZJ6o7oT1xvr4/E4v/iLv8i5c+dwXZdf/uVf5hvf+AbDw8PXfOxLhSvuO17iTun1Yvfu3fzlX/5l/d+1138jOjK3RFJaa/lfLVBprTl//jwXLlxg+/btdHZ2XvO8N6rwFzUsHurdzJcHT5Hzi7jKwwn8agCQxIXJe1e+ju3p1bTubOLo7CRThRyV0Ulahcnu3buvWAlc+gW74447yGazZDIZ+vv78TyPPS0tJJvX0NCUpi2R5Kc3beZbFwao+D6JhEW57BOEOkhs7mhGZQKGdRYQ1Nb1WqfTbvWJrAM/EtCwwqTsK9JDScpPepSnXOxGi4Z4jCBQFAqVMBE1xCLHXGu0bWDaJn29zfzxb7+deMSqJzxXw+zsLEePHmXVqlWsWrXqkqAjhCCdTpNOp+uzKZlMhkwmw5kzZ+qzKTWa74sVtKanpzl+/DgbNmygtze0X4lbFt0NDZwuVHBTgugCYUJafQmBE1CRmnu3rOE4w0x8cwJ1zkU5CuUpjISBFhq/HBCP2rz6LdsZUE9SDpZX8GuXOWZHmLcEnxw+R2bIQzsCIwLEQnpsyXOxhUEl8AmAZMTgo0cf52fWbmV3azdv2bKet2xZf9n3lymViC6hTdmGwcb2VvScjyOLuHj4gF/9fvRGm3lb924yhTKO719WGZiQHRZeDg35yuK86cjICOfOneOOO+6oF2WuFxfPJheLRWZmZpiamuL06dP1e6KlpaW+kblR6s+NWMLUXkNraytveMMbeNOb3nTNx3zyk5/k/PnzV/z961//eh588MHrev4a0un0JZXSubm5y85n3J4pvY1XEq6VRGYyGY4cOUJfXx8bNmy4Zhy40VgvhGBbchN9sW5GyuM4ysNRlervQGqDB9ruZl/THaxNdDHlzDJaniQ7MY8ed7hj1x20trZe8fy19WnlypW0t7eTyWQYGRkhn8/TnUqxtXUt8aYk7akWfBXQdSHFRCVLwrIo+341SRI0WTF2pvp4ZGpxbVna2TQExGPVmU/bxNU+EWwcx2S8UMSUktZoAkNIooZJJfDrljZ12zkdWpQ02hH+8tU/werGpmWx40qoVCocPnyYaDTK3r17L0vTjcfjrFy5kpUrV9Y7ZplMhkOHDiGlXMaYuhEbjxtBqVSqOzNs2bKlHhs2N7VxYHocfbEKJeF1ybkud7b3sLmpjW+OnWXW9VBa4aAw9fL48s5V2/BL4rK2RIFWxGybIBHnf85e4EhsAlI+krCrrVAUPYe4YeEEPr5QGNrgi8cv4BRN3rJmPfetWMF91QLIxVhwKggW6eVSCPqSqdDgSOdwRQ6FxlEKB4+ItHhP7wMkTIuYpcgF6hJtiuWvX+Lrxe9WNpvl0KFDdVu/G8HS2eS1a9fiOE6dMTU4OHiJ7sTFXdSluhO1OP9CYj2EzMuWlhb27t3L3r17r3n8yx3r4ebOlOZyy4sSNTrz88XSrupnPvMZHnzwwVfeTGkNVwosvu9z7NgxcrncVSk813u+q2F1sok1jSmemM5VZ0wWS5MdEYPXte+uf/nXRZPkTp6lPdnI9u3b6c/P8rlTP+L0QoaueJL7O1YRoPC1Yle6k3XJsJJqmmZ90HrDhg2cn5niL04+w5MDT+BrRZcd5719W/mDO+/m40cOM10sIi1NazLKb961n7dt2MDBgTF+86+/hh/o5RVPC5K7PJKJKAVf4WgfbWri2yOUT/gwL2io3nCGIUmnE8zPF6nVSrXWCFsSbY3T0dnIh37lAVLx6HVdu/HxcU6dOrXM8uVaiMVi9Y6Z7/v1oPXcc88B1DuoN3M2pdbR27ZtG+3t7ct+944dm/kvmSepmC6WDcZSv28BxCRnJmcZ/cwEzrky0hCQsNAFjyAXgCEwYpIHfmoPqzd2cufUGr48fojsfAWVBSsuySdLNFoxZipl/tP3nmT6nFvfHagymAj8mMZTofy/BixD0NcU5fzCDP/9xDP87h2vYm3jlatPa9JpnhkfpzW22MF1gwCvIYcCGswYvgrqQXTBL3MmO80nnz66GFgvXvRqu6EgXNC2dISbsqGhIQYGBrjjjjtuaPG5HIQQNDQ00NDQwKpVq/A8r67wXLMluJj6cz1d1Bfbp/QDH/jADb3P68GDDz7IJz7xiUt+fj2B8zZu41ZEbS26UgFaa82FCxc4f/48W7dupbu7+5JjLofnE+ulkOxq3MFAcQhNwNK8V2jNG1rvoTUWrrFtZhPjA8PYRdiz/x4cK+Czo9/hSO4MEWmzK7WRBrOBgl+mN9rGlsRKDBEKrNUog2vWrGGhmOMfBh7nu6OPUxx2iAub1yY38LurXsufjz0ZWnIQdiwf6tnJBze8hrzncGj+fzHnhtYgdUKUgOaoQcySmMKk6LuApjFi4mAxWRQ0mJE63bQ5EmeqVCAg1D7wVJiMJMwI6UiUf7n9bjY3X99ozuXYUNfC0o5ZbZa/Vox2HGeZME5NY+CFomZN09XVxfr165cVN96xajNfGTzNXKV82cdKAeOlAs/OjTLnldBaI4VJIHx8QisEC8mulm5+om8zA/MLPDJ4gUy5gLBU2JH2TKQQdMQT/N4T36JfD4Adfnhhj7XWlIFiEBZ5hRa0l1vI+RX+/sRxbMPkjauvTKPuToT74UApjJp/qtZ4ZhZhVIjLGJpQqEsi0FpwtjDOF4bOkHGKCHNxpPhiaA2BhtWJMNYvLCxw+PBh1q5dW2cJvBBEIpFL9B0upzvR2tpab/hcS70/CAJs+/oNA4vFIitXrrzu43/cYn1fX9+yf//hH/4h/+7f/bsXfN6FhQU+//nP39A8KdxiSenlDLVrVa5IJML+/ftv6GZ7vl5ohl3EMAJ8X9ZTUsMMmDfyPDZ9hld3bKxXclesWMH69et5YnqYP3j225R8F1NKTucyfHviDLY0iBgGppC8rXczH9p6X/15Hpu6wKfOPsvhzCS+0kQMg5hpMeqV+U8DB3lftIv/o62TC/ECrT0dvG7LNlKRkLKxZ00Pv/nwXj75yLNUFjRSCuJtAtbl0Ta0RZK0WnC2OI3SmkLgYDQJrGGDiFz82GMxi7JjEe00yLcWcc0A3aiItni86zW7WN25nJJ0OdwsyxfTNOno6KCjowOlVL2bfO7cufpsSq2j9nyCVm3DMzQ0dMWO3pu2rOOzzx5neHYONyExYiCr9joqIojGTA4+fg6G8sSTNo7wCWIG2pJQUUhDohuifPNbx5meL/LuX7uXrzx1kqMnZ9FBOOMb7zD5Z+/axHcnzjI3FN7v0gzvNI3GcMBQAtWskMKgO5WkIxlBKJ9KucxIscjnnnuaf75pzxUrzG9YvZYTM5lQtCgWx1MBs+USQWuJiGkSNyIhFbd6XQqBw2cuHGRwociKVIqzs3MEl+F3CD9MSCOmyZs3ra9fzz179tDY2HjDn8m1YFlW/Z5YSv0ZGRnhxIkTNDY21oNWLYmsVVaXdlFrwetKs6UXo1QqvSRK0QtVU/oaahX9NWvWXEKLGhgYYO/evbd9Sm/jFY/LxeYgCDh27BgLCwvceeedpFKpF3S+64EXBPXO4VIoFF+e+jq/tOq9l+xBcrrER07/FVPOHFIIvEDx7PwAUgiiMtRnWJPo4rfW/AxpO1xDRkoz/N3I4zw200858DGEJG5FKCmff8ofZyo7w7vUCsZVIyIV4/5Nu+hraEEIQXMkzsf3voMPHf4SM5UyIIhbJpbpgQhIWw10RlP056fIexVcFRrchN3RRcqzLQ3illUd1QkoB+GaaFkeb1+zhTevuDzr5mJciw11PbicxkAmk6kL4zQ0NNRjfU0Y50ZRe51X6uitSzXzqq6VfHmwH1hOZ5Yi9BLPVApMjGdJmDZOEDKIhBZoGR5sGwbPzU3wgSe/yH/e+xa62yJ8b/YsgRPeixYWb+zYTP/sDMPBJBgh3ahGl1ZB2C2VroE0BGmrgY4gjaVMHNch4zp87vBBNpk2ne3tl+1g3dPdy7eGzjOYy9ISi2EIwUy5hJUuoaUgbizfK+X9Mt+Zfo7hBZtms5mczOFp95Lzag2eMhBI3tG9j/n5eQ4fPsz69esvSWRuBi6+J5YqPF+P7kQtxvu+X2dTXW+sf7GU9pfipsV6uKn03ZGRkWV7txfSJV2KD3/4w3znO9+54UbFLZWUXhxYaoPR3d3dSwyYn//5rgcLXonB0hyxmEIoRdmvzWyCpyT/17Fv8f/kFLODo/VK7kRlnI8c/SZZr0zKshFCkvN9QOOpgJZIDFcFfGnkJJvS7TzUu4kfTF7g9w9/k6Lr4VU7cY4KAEHMNCn6Ht/w50gKGG3L8mxhgEcOPM2WeC9v7t7LyrZufnLzDuaj8xzJDiMIaSLjlVC5r+g71eDYwtbGXjYmOym8xeEfzxwil6uQiIc3XrHkQARmXpPFb/WqOkqaaUp8dOAr/KfEe9iQvHLXUynFqVOnmJ2dvamWL1JKmpqaaGpqYsOGDZdQOhsaGurUn+uZTdFac/r0aaampti7d+8Vu+2JiM26nhamxnLooo8yQBmL5y5WPCLTLgmlaYolcFVAseJSUh7akhimJNUUx3V8nn1qgPN+lvGxAqYUYEOgNOUJny995gTe3Qrt12hUi/L/CBAOtCaiNLbElnVEtU5Tyc4x7VXqFealM7m1auKujk5+bfdevnimn/F8HkNKXtO3ikf9ictTc4HJYh4pDJK2Db6Gi79uPsiQzc7G9hamxkYZHh5mz549181eeCG4HPWnJqAwPDxcp4O1trbS3Nxc//7XZkQsy6onqVebRVVKvajeZY888gjf+c53APjIRz7Cvn376pSX2r9rQgGf+9zn+PCHP8y+ffs4cODAlX3Lbielt/EKwsUF6JoCumma7N+//4Y3Rs83KT2WP4UATGw8PBY1GuDJhWfYOb6F7Kl5urq62LRpE/mgzCcvfJGR8hRRGSUqLXJekZqVii1NDCTnimP8/dgj/Nrqn2TayfIHJ/+B6UqOSpUqGmhFKXBImjHKuDwrpljhJ8kkfAZKIzz6bD+ros28qXMnu3rWsznVxW9uvI+vThzBDXxMIZmoZHFUmFTPuAXaIw3sSa/gruY1GFLw8WOHmSwX0KbGEJKy74XdMivAFy62JVBaU1Y+fz10gHQkxntW77nq9RobG6O/v/+G2FDXghCCRCJBIpFg1apVuK5bp3TWLLtq8a22rl8Lk5OTnDhxgs2bN1+x2y6E4I7WLh4ZG6DouUvUjUPtDkf5zDqKiCXpiCXwtabke2QDvz7em7LDeDtYmOdfPftPDJZnQWosbaDQ+Hg8On+KTrcdP+aGCe1Sj1lCyq+tojRWWtjS2hbuyiOgG8EqFclXKpwbGeHs6dMkk8n6vqeWrDdFY/yrPfv5h/5jnJqbwdWarS3tBCmX06VL50UFkPcruIGk1UqyENggL/bWDfe7EAov9fmNHD56mI0bN9LT03Ndn+sLxVKF5+vRndBaMzc3x/z8PB0dHdcV6+HF9Sl9UWI93NSktOaacTPxsY99jA9/+MMhO6Q6V3q9yanQlyPBv8TwfZ8gCDhx4gSmabJhwwYGBwc5d+4cW7Zsed5fgv7+frTWbN68+doHV1EOXN722J+R91y8QBOoi2YigVVGnE/d9T6am5o4lT/OF8a+yef7QQqNKcFVEldRV3VricRJmBZzbpk7mrv4szvfzs889reczc6iFXhBdS70IuECgJQt2dpl05NIUnYrzFXydHhxXu2uoqOljVRLE4NmnlPFCTSadYkODGkxXckRMyx2pHpxlM/nRg8wXlmgfNaj9F0PmReY0iDdHGP27gVm+/KE9WFdXSzDhXlrso//tusXLnutasqIjuNwxx133DTKzbXgeV69glaTnq9VVS8XtJRSHD9+nHw+f9W53xo+/vgzfPnZU/hDDn61YqCrn4/QEJssE5/1sG0LdJjE+9XNhmFKonEbZUBWBzhJM0wyTQ0RjTQkBALla4xXeWSHYmg0StTCIaA0UktedfdKLqgF1iab6km31przuXnuau/ldb2riSpIlMLrsbCwUJder83kKq2ZKhYZL+UYyC/wjdkDjDjTpKxF8SVHefhasVtu5cDADLmCQ6lcVYGsXkqhCG1hVJg6v3/HRrbagj179twS3rNLqT8zMzOUSiXS6TSGYTA/P88dd9xBY2PjsspqDRcLKOTzeXp6epiamrqE3n2rIZfLkUql2Pgv/xgj8sK/f4FT4fSf/D7ZbPZF6Xzfxv/eUErheR5TU1OcP3+ee+65h9nZWZ577rl64vd8rCBq+gz333//DT3uI2f+hHOlc0AtFQlRozPagc2vNv8CO1fvYLw8w18NfZOjuZMEOkAIidYCR1VpkWjiRpRGM0E5cBBC8qfbf4O/HX6cL048E8b6ZbstvRjrNZjCoCOaojfahFKKTClHIjB4rdPNylQHra2tTMd8jpenyHolVsVbabETTDo5tNZsSHbSE03x2bED9OcnyDkeQ/MujqcxhUHCsklEJGPObDiFsUQvQWlNyorw5Vf9c9KRS8UGl7Khdu7c+bzZUDcKpRTz8/N13YmL/S8vV7wYHh7m3LlzbN++/RLv+ovxvfEL/NHB77PgOJSDsJGwDEKDARFphCq2QleLF+E+rcGywyZAUEHLYHE2s9oNNWToZWo6EWINHp7wqNqSh4dphZCCTZFe/FyUtnicmLnY3R4v5GmwbH5u+05soDnQZKu+m0tncmv7ntlKmalSgYH8HAdzpzhSPkaDGcEUYf9JaUVJOexObuGJiXmUUcIzZkGoZTVoTSiupbVga2wFb8+uZNOmTddNp38xsVR3orbvicfjJJNJMpkMa9eurSeytVhfi/eX05148MEH+eAHP8j73ve+l/NtXRduZrx/PrFeCMH8/PwVO74Q2sek02kefPBBFhYW+OxnP3tDlOdbqlNqmiae53Hs2DFmZ2dvmMJzMQzDwHGcax+4BDHDZl2ijWfnRqr+TtQTRggD16gu8f3iKd7UuJPHZh8l0C6CKH4AvoKgltpVJe7qFGAhmHPKzLslLuTnQxqNNPDqc6GLC2LtMQVPMTSjWddgE49GSUcbyLg5Um09JEsRJkfH8QsF9qZStLe309bYtkzBdrKS5U/7H2G8skDUMLHXmSRWWkRmLN694i7a+xr5N/2fRfshWVPWBuY1+AScL04y7WRpjyz/HGoiB5FIhH379r2kXmSWZdHV1UVXV9ey2ZTTp08vm01pa2vDMAyOHDmC7/vs27fvuujfr1m3mkfPXmDGdqgVz+vuKCYo20AHLk7ZRUiBlqFvjJYCrTT5sovbYKKNxWVeewICgU5oTEOiXcDzsRs1zoLAMMONgVYaoSXd6UZ+8879/PFzjzFUyNIZa0AImCjlyQVlDsyP8Oz8CBHDZGu6g1/evpdGadU7h7WZ3JaWFp5y8zwyM0ZJlwgI8CKaOV0kapjU9Jzvb93Ag8nt/KD/O5QrfrhZ0mFndBkENFgm603N3r37XhLay/XgctSfM2fOkMlkEEJw/PjxZV3UK1F/hBDk83mAWyLZvl7cFjq6jVcSahYuQ0NDnDlzhk2bNr0gSuD12sldjE3J9ZwrnUfXhAP0kiiswTVcHg2eYLvaxtcmn2aiMoctbcpBGVAEWqMvoZSE1FlfB5SCCk/PnQ2FHKWJd9Fr1FTpoAJ8HTDj5FmXaMe0TNKRBobLs+gVrXTKTjKZDPnzc2yOx2lrW01bw3IxQF8p/tOZb3B4YQhLGkRMiw1tEUpewGvbtvAzfbv5wIHPoB0dWqEs8V7VWlPwXb41eZp3rbxj2WtUSnHy5Enm5+dvKhvqelDzOm1paWHjxo11/8uxsTFOnTpFY2NjPUFNJBIMDAwwOjrK7t27r6szc1d7Lz0NjSy401yx9aRrLLaw8VD7uLXQFDwn9INnkVikoS6NLJHoqsp9ULYQCQ8hq0J9WiNkyIz7vV0P8Nnj/RzNTNOZSBAzLebKZSaKeRIRm/988EkMKehtaOQXt+7i1du21fc9Z8+epVwu09zczHRE8pnp88x5BbQIUDGTBVUmYhihkr/WdEebeU/fq3g28xVmVY6IqNoOXUQ2E0IjtMG+hWa2bN1yXeKiLwUupzsxOjrK+fPnkVIyMDBANputa5HYtn1V3YlCofCKivVwc4WOrgfX2/EdGBjg4YcfXvbYdDr9yk1KlVJMTU2RSCS45557XjC3+flSen5t/Wt5/zN/S10zVS//n0DDo1OH2JhKkvOzREUzvnJx1WI1BhEmp2ZV9U7rMBBsb+pkxl0AEQYj0wDHW74c1qghhgiDxXjB4e8PT2AISXujQU+rJi9d7lqzmTVr1lCpVOqVxLNnz9bVStvb2/nm/DH68xMA5Ku+plFpEm+zGU3PsyPRV/Xf1EgW/bLqCn1Af358WVJaKBQ4fPgwzc3NbN68+XmbHN8MXJyMFItFMplMXXRJSkkkEmHr1q3X7Ye6tbONf7F/D//h3KOoCMiqL6w2Aa0xKxo/amI6flUESaPNULJfGgI3aoQFCaUXP8yQF432IDBCy5lUi02kx2XmaASvFB5jIGltSPB/v+NB+pIpfmXLPv7u7BHGSnm01pS1j2GEc0aNVoSi73JgZhQh4Le33b9Mej2bzfLM0AD/OHEIv2EBYYTBMxJECbwIMcukO97IA+1beahzF2XXI2IY5PXifE3t5ddgGYJfX7+Ce++66yW177lRzMzMMDc3V99Ezc/PMzMzQ39/P67rLqM816g/tST18ccfB7imPdUthdv03dt4BUFKieM4nD9/nr17996wYvflzvd8Yv1b2h/g+zM/JB+EhajL3f4DpUHOFAY5Xxyn0Yyx4Pso1LJ9QUBY0I3IsOhZUR6tdoq0maQcuAgEkrqj1pJnCvcKEkGApqI8vjt9BjCIGxZtkRhj7jx96++mr69vmRjg4cOH692y9vZ2LogcP5o9i6cWRZssYZA0oww7kyQsi+54I2dzM7AkIYUwXAngQmG5Aqjv+xw5cgTP89i3b99Lxoa6HC72v6wpt2YyGQYGBurvZ8OGDdfd+YmbFn9wx6v55z/4YrVTypKgd5kRFi2qozahyq1Y0l+/RCxIaHytkAKa7QTFnMayFY5ZRgtCHRDT4jc3vJZNqQ5+ZVcDnzr2HP2zM8yWKwRagRQkIzZtsQSBUgzlFvjzIwf4D/e8tr7v2bhxI8VikdGpSf6q/3vMxqYw4lXXCGUg3ASJKLRFE9zZtJG3dtxJs52kJ9HIfH68+lovjfUCwf3Oal6/7W46Ojpu4JN6aVEulxkcHGTDhg309fVdl+5ELUGtaZaMjIy8zO/iBnET6bvXgwcffJAHH3yQj370o5f8binNeM2aNZdVoL4R3BJJqRCCubk5RkdHsW2bO++886YkOs83Kd3R1MsDHRv5+tjpxc9N6Po6BZppd5qvTn6Ogj/DoTEbISwMIcI8ROt6dzWUYfcoBz4pO8rDK7djGT7dDSYjuXA2IWYLSu6iT1a44IX0Gq3CaOGrcA5lbF4xnde8qbOqxKc1A94Mh/QA86ki3e1NtOsWKgsVnj10kK+LYzh4pMwYZtWbqxQ4eFoxWcnRZCe4t3kDX5h8GoVCaBlSN9AYSGLG8sLA3NxcXeBpqWHyrYClFbSOjg4OHjxIJBLBtm0OHz6MZVnL6C5Xu8feuGkdf9l0gMnpHNqqrQEaOxcWE/xGkwCDiBsqJZaKTph0Kl2dQa0GLl+j7MVrpL0weKW6LVp6JKvjnZRMl8HpIjaNNJgxtvd10lid+d3Z0snmdBsD+TmyboW/OP0MpUASaIWvA5JWeNyJ+WmGCgusSjbVr0U6nebZ4Qx+ai5U9q3eS8Iso3HoyG/m3298LclUCl8pyr5Pyo4wQ2nZtViyfWJ/S4q3v/q+l9UE/VoYHR3l7Nmz7N69u860qAWlWgC/2HJmenoa0zRJp9N86EMf4kMf+tBt+upt3MaLgEqlwqlTp1BKcc8999yUROf5xvqIEeGd3T/B/xr5+0WKX+2X1f8pBRX+auQLTDo5JAJfOUjCeqQQoVKvJuyOKjRZv4QhBD/ReS+mNGi1G5n3iwQobCmpqIullcLZztpeTqFROiDvK/K+Q3t0MVGc9vI85Q8xEp0lvTrORrMNoyA5ffo0/+j2U5AVkkYUyzARhMnxvFdixslTClx+uncnP5oexKu9BiFQOrSfiRk2cXORSbSUDXUly5eXEzXl1s7OTo4ePUo+n6epqYmBgQHOnDlTX/NbW1uvypDamG7lDb3r+NzACSDsgF5uWy2ARjtKToXxUWkddk5ruCirq+0ZTGHSLhsxm0x22as4kh3BaLGJxy02pdpZnWhFa017IsGH77qH4VyWnOvy2TPHOTozjSUN3CAgblmsSKYYymc5MDXOG1YuKvImEgkmoor55ARSBigtwnEb4YMRkJ/t4N9vfzOrO7rwZXi/RaUZal2w/DXX3ms6iPEvdrzxmhTolxO5XI6DBw+yZs2auhrwtXQnpJScO3eO++67j/e+973ce++9vPvd736Z38lt1HBLrDJjY2McPXqU9vZ2PM+7aZ235xuoAH5xzT18b/IMpaBaktC1RUZgGT5l5aK1TcWXTBbBkgEJy8QJwFMaA0GArEp0C+5s7eP96/exvrEVT/nc3dlGzpki52i0VlhGmHhKJFHDoOwH6Bqfov4SQjqw5wseHR7g4b67eGz2JF+dOICjfCxp0J8f5UdGhA2JbvKWQ3HGR/oCz/fwPQ9pSAwhqCiX+TmPP/72DxnNuuA3oZpzEA+pmwaClBWjPdLIlmTo4zkxMcHJkyevKh5wK6AmA9/Z2Vn3uFNKLRuU9zyPlpaWerfsckHrrXs28lffPogKVHXmU1DTcRcqpGc7tsATIGwD6SuUIuyQGhIkGJ5G2oJ6z00IUitNVj0YpSRKdM8ZbEyu5jtBiW+eOU+gFnhqYpy/PniE99+1h5+9Yxu2YbAp3cbXx/o5m89UgyHYhklvPE17JMGMU2LeLbOK5R2HQ4X+sKCiFrvgWimkqRitTPGRH36XpytzVKQiZUVQShKg6vOm1Rddj1atbR23fEJ65syZK9rTXMly5tFHH+XjH/84+XyeHTt2sG3bNiYnJ28ZytK1cJu+exuvBBSLRZ588knS6TT5fP6mKT0ahlGn4t9oofSupj18ZfzrzPrzYU6xdFxHg9I+Ja+EKWTYURUQFTYBGl8pDCnQSEwRxpCeaAtv7djPq1t2IoTg1a1bmB7Lkg/KBCgMdJh4IogKE0cHLLXKXGSphDOnJ3NT5L0y026Ovxr8PjNunqi0cLXPAc6zNtFJvMtmdLqMcKtjCb6PkOH+o6w8ir7Pp88d4lQ2Q8pIkAny+CikBiElSSNKyoqyuymM9TXLl5aWlpedDXU1eJ5XH1XZv38/lmWhtSafz5PJZBgeHubkyZOkUqn6SM/lRk7eumID/zR8mrLvX5qQLtmG5bzyYvc0zPuWNFMFQgsQi0WHiLDYEulloehyZyLJbsNiza4d/MXwE1RyHifyY3xx9Dn2t6zhD7a8mYhhsjKVZryY56nJMbJOhely6DfbFouzpjGM7wvOpR6/3587DjIALZBUR4rCzQqVyAJfOPssB88MU7HK2IZJ2kjh42Gy7Jav/7+wrFs6Ic3n83W/1CtZukQiEbq7u+nu7q6Pej322GN89KMf5YMf/CAtLS387M/+LFNTU7S0tNxSTZar4aWm776UuCWS0lQqxZ49e6hUKnWlzJuB55uUKqWoDE2z2Y5y1C3gBzXhHI0pFUrDdCHJAWXR1xBSQrUIwk6aKYhigIqQ9z3WNTbx0yu38abuTVgyPI8lTd7RfTdO8H1OzcxQ9CAesfA9m9Gswg28xSAlAL/G/wwTU4lgMJtnqDTNt6ePIISgLx76SE2Vc5zKTXChMEvaSlBRHkqALyEqLVQQhJ3bSYvvTo4jmEQJhadNxGyKxOo8VsrDEgZpK8E7evbRYjcwMDDA0NAQu3btoqXl2jYxLxdqndzaQlU3lF6izFqbTakZmp88ebI+m1ILWkIIfuaebRwfmeRA/xjKC7NRbQi0rI6MVD8WJXS4MbENpCmRQFBb2gVYpkZ4CgXEX+tBRHLosQK6JPCaC8xsdfn66XOYUhKPhPdT0fX4xFMH2dbVzvbOdsZKWb48eoxAKywRWgdVlM9gYQ5PBSRMi47YpXMRZV2qFzRqy60QEk1AUTh8x5smMMOKS9ErggEiJRAFMxQ30lR3SeGjDfPFMTi/GRgbG6snpNdLB6xZzvzET/wEf/EXf8EHP/hBWltb+eQnP8kHPvABRkZGbprK5IuK2/Td23gFIBaLsXHjRlpaWpiamkIpdUP+wVdC7RxBENxwR29qbIq+hR5mGxZY1F8N/xNSMgWeKJC20xTLEoXCx0dgYBsGEWlRURWaTZsHWu/m1a17SFmLa/EDHdu4UJrm+NwQRa+MadlEzQgzTgFXBcvU0C/+GksEJd/jZG6UAwsDzLkFVsVaESJU2D+aG+FCcYbuaBM5v4xG48iAuGEjFFQCD8dT9OcK9E8fCgupyg95UEIhTI0pBAnT4lUda7irdUXdSmXlypWsXr36lt2o1zq50WiUHTt21O8BIURdUXTt2rVUKpVl1iLRaLTOmEqn00gp2dPazS+sv4NPnz1Mwfcu82zV+0IsdtONqu7C8t29ACXRKCzfJmUmOVMZJzA9nvTmSPds5cvDP8INApJmyBBwVcDjs+f5/Ogh3rPyTnyl+Iujz+IEQahMbFr4WjFRLGBUtUo64pcm1nNeqLSrtajTiOvaELbHj+QZlHAATZkKZVXANsJxNBB19WGlIVAS4zrHnV4O5PN5Dh48yMqVKy9r93M51Ea9Xvva19LR0cHq1at55zvfybe+9S3+6I/+iE984hOvCLEj4CWn776UuCWS0mQySTQaZXp6+nl3Ni+H55OUuq7L4cOHCYKAn1x/J6XxH5BzHSoBFBxJoCVChAPvE2WPOcckFZHMVSAiBRERI+v5VAIHAQwUZviv/Y9xZH6c39v2AIYI62qrzDbuyvbQHU0QW9lIZ6yZ7Y2r+cbQBf68/wm8oNqa9QUsVQCuzi1YBlwoTZH1ivTGwiTRUwEj5XlMESZGPbEmsl6FrBdW1fzqjEIwH6U8Hq0mG2EyLQQYroGaSNHS6uBoj3taNvBA6zZOnTrFzMzMVa1UbgVMTU1x/Pjxa3Zyl86mrFmzBsdx6jO5AwMDRCKRegf1Iz/7Bv7u8FE+9ewhlBcgLoDTbBCdC6iawQGgTIEMNCoIr6XwFdqUGJYAFyKmxa4HO5lUPsefmyMINALNyckch8vHkVFBcknXIGFb5ByHR84MsL2znWfnRsh5FdYkmxjKZ6kEPqYQ5AKHC8UZtjd1cCY/TZMdW6bel5AxXO3W6WE1ZWUBlP2wA6z1krkYASQ0qqzq1VZUWIBFwIPrV9/kT+3mYHx8nNOnT7Nr164bnk87ceIEb3vb2/it3/ot/s2/+TcIIfjDP/xDZmdnb+kCzG3cxisNhmHUuxYQzizezKS0dt7rgdaa/v5+xsfHec2W+xibm2bBy+HjofTi5KcAHOXgqQxJI0EuqACauBHB1z7FoIRGkwuKfHX6BxzMneRDa95L2gpjZZOZ4LVOHynfx+hqpCneyI7UCmadAv/l7DeYcsJkQmkItGRJryqcNxWCnF9mqDRDkxUWTLXWjJTnCHQ4ZtNoxemOaUZK8wAEtcVemhQcszoDq9DVy2MIgdQGrVaEivZYkUjzGxvuIzM5xalTp255NlSxWOTQoUPXpWsRjUbp7e2lt7eXIAjqM7nHjh1DKVVPUN+/4Q72tffw2we+ScF1cZRflb+qaYUsF1oIdTgESguECIWjauJRq+NtbGho5ZG5U/jVe2lcB3x6+ACG1LTYiXqyHzFMXM/nGxMneM/KOzk9P8P57Dxr0mkGFuYp+R4R0yRAcTY/x4rGRiYrBabLRdpji8lps92AKIXxXem6ziZCAlqHCenS98BSuQtRF3QMBT4FmxpeGuuXG0WhUKgnpKtX39h+JJ/P81M/9VOk02m++tWvEo1G+Y3f+A3K5fILnoW8jZuDWyIpreGF0G1vxvlqdIBUKsX27dspqApP5c4wWJwi5yhyuuqLoat0TK3xdUCrrYh6Fl5g4QSKih8ghaA1FqUlFqMceHx/+hyvnVnHvW2ryWazPPfcc6xq6+JNm167bEH95xubUeYCf3r4JCiBH1xapRQCuhMJ/vHoIIczAcOJLOs641gxH0f52DL8WE1h0BdroqIy+CqgPZqiXFbMjCxShGrQGnzAKQgiORMjoRlcmODw7GFc1+XOO+98WUUOroWRkRHOnj3Ljh07bphyEolElgWtubk5MpkMx48fRynF1qY0qzYkmZgo4p9z8eMGZSEwCwqjWmVUkbB9anoCfI3QsPeOlWzd3oNlGuzdtZJc4PLLf/5FAqXrwhJ+oPA0CH/JRgSqGw/IVdWjs24FgWBlYwopBGPFPAVVIRA+hjTI+2U+ee4pnpwZ4jc23EdDddb0vuZt/FPmCQy5+JlLAVpJio4VJquEsaq2ndMCVINCZuWyANwWsbBnM4wIvcwT9eVGzXB9165dN2xV0N/fz0MPPcSv/uqv1hPSGl5RCentTultvAJQ+37VLJhuVryvxVDf969LYd3zPI4cOUK5XGb//v3EYjF2Bqc5lD2GG7jkVR4tqBm2oFEEKBRFLBFBoQi0T1mF63JMRmm2mlAoxsrTfHv6SX6m5w24rsuRI0fQSvGLdz60nK7cABaS3zvxj7jaJ6j5ji2B1tAajXNgdoznZjNYUrKqIU1HNE7OL2MLA18ohBB0RVMseGVyXpm0HUUiGVhwUDq45Gsd6JBCLB1Fmx1htpTn2Nl+chOZW54Nlc1mOXz4ML29vaxdu/aGOrmGYdDe3k57eztaa3K5HJlMhgsXLnD8+HGampp4TVMXT+YmmCwt72Jz0dOYQlZjp2RVIs3Dq7cRaM2Opi62pzt50/f+Aq+akIb2gKHwkapee2PJCQ0hQ2owkHUc3CCgtyGJKSTDuSxZz6GMh5AhM+sz54/z+MQw/8eOu1mbCmPe27r28Ez2JEKqxVgvqyTwcPiZS+WMqvsBvfznUgvumW9lYGCA1tbWuifqy41aQrpixYobTkiLxSIPP/wwkUiEL33pS8v2s7fKXua6cbtT+tLgYkPtF4obUeSbnp6u0z5rC13KSPChdT/J1yaf4Usjx9G6VFM2qM6eCAINC77iDasrSHcL3xq7gDJD/n9Dlf4QMyzynsOB2RHWqTgnTpxg7dq1rFix4rJf9IdX3M0/DQxxbq6EMDR6SWIqJXSnDE4NuQR6BieA4XKFiXmXjSsiaFvjao/WSApLGrRFkrgqqJprN1LKWozqBVwupqiEz+GrcGh+gQVyC1nmvDlaW1uZm5u7pmDAywGtNefPn78hGfirwTCMOo23FrRmZma4K9PIp+fniQqQHihL4qYFkZwKaa5SEBiCSGuUBmFTqng89Nad7N6xaHPwyX/4dugNB+G8R3X+SXoQmBo/UJg1GppSCAGb20Nadlessf5+VzamaLBNTmSnMLTBikQTaxpacAKfI/Pj/GD6PG/t2QLAB9a+hlPZcQbcIZBh911qkz69lokgU59buljaQZshValG+m1tjPHJh96EUS7XBYISiUS9o7zUmuClxMTEBKdOnXpe3nlnz57loYce4ud//uf59//+398SQff5YpHg/8LPcxu38WKi9j27mUVoIUR9rvRaKJVKHDx4kFgsxt13311XZX9n99voiLTx/ZknyPn52pmXPVYLn4RMsLVxE2eLIziuR9JsIGHEw9eAgSlNDuX6eWv6Xg4fPkwymWTbtm2X7Qjf0bya/S1r+cHMGQxRo1IursUNpkXJhe9On8VRirzvkZ3P0BVLoNF4OiBm2iTNKKaQbGzo4GxhimYrQcJIMKSngaDOsNK1t1QlYtmxCBJwnAqjwyN0NDaRz+eJRqO3jN3XUszMzHD06FHWrVtXF7Z5vhBC1EVx1q1bR7lcJpPJcM94he+UB0Nm2VIszdt0qJTfE08y65Z5c89G3rdmT/3QxyfPs1BNMsNOZPiZKi0QWlMOXBqq9F2tw89xbyp8P52JBuKWRd5zaY3HaYxEeHZ2DM+XpK0om5rCPcFAbp7Pnj/B795xH0II9jSv4s0t9/CNmadQNS83LemQXcypDAqPK63wtSRWCDCEwe+u/0k2qWYymQyDg4OYplkff2ppabkp7IYbRbFY5ODBg/T29tY9Ma8X5XKZd73rXSil+NrXvnZL3ts3gpsR72/VWH9LJKUvRpCqne9aQUprzeDgYN1s+WJhk7ZIil9Y+XocN8In848jqQop6JrskSAA1idX857eNzNS/iwXCnMkL0neNAsLC5wYP8G2bdsoNhT5WuarzHtzNFstbEtuZ2VsFQApK8En73uY3z/wbY7OzOD4AShIxwzetq6XH5zKAg6t0SiONllwS7i+4vRombZVCtsw6I6GFEalNQs5nya/k23RjUybBY7K3LLXVasFCw3aEDjax1c+O5MruXPdnczOztZnL2uCAe3t7S+7JYhSiv7+/jq1+GZ7TS0NWq35MqmBDKLdwxv16sqFgS2wKiE1Viso5lwcfNauamXn1h4qgcNXjh/iu09d4NRQbaNTo2aF971Z1qiIoOC6REwTrUMqdl+qkTdtXAfAnS19fGfiNEezI1S0S0W5+GgSRoyOaPi+I4ZJRJo8OztST0qjpsmf7n0P35s4yxOZs5jS5HXtW9mcauONX/sbCtpZRt+tv7wqXbf2Uj/+trewtj3sQNcEgi72RF2qbHy99jsvBJOTk/WE9EYr+xcuXOChhx7i4Ycf5j/+x/94ywp53MZt/LjiZhehr2f/MDs7y3PPPUd3dzebNm1aVoiypc0Dba9idWwl/+HMf75iwS5h2Xxg5cN8Zer7fHP6iXpCuhS+7/PMM8/Q19dHoqeZr04/xfniJAkjyh3ptexNr8cQBoaQ/NvN7+BPzn2bR6dPUgk8Aq2xhMmudA9KmRxZmKDJjqNQLLglKspnrJSnOSrRQtMTbcasjgXNOiUiJNjasI64YfMMM/XXVG/6LRVVQpD1ymyx0rxmzz3k83mmp6c5d+5c3Vqura3tZSs6LkVNaHHr1q0vigBdLBZjxYoVLDTYJBfOYHouM244gwm1+eLFzbyrfMbLeVJ2lDf3bMBXiu9OnOcfh45wIjvKUp3Kei5bnVN2lI/wHaSQuMonZlj87Ip9AKxuTLO7rYtHp07hkadCBS+hiTpxumPJughhWyzO6YUZZiol2qo03g9ueB2vbtvM1yeOUvY9djet4YGudfzro3/HkDOIEPpSlhyLoV4Db27fw+s6twHUqfY1S7UzZ87gOM4yS7WXostYLBZ59tln6enpueGEtFKp8O53v5tSqcS3vvWtW3oE7TZukaS0hlpQeT4Kelc639WCnlKK48ePMzs7y5133lm3j7gcViQaESK02DaqyqtV4iO2AUkznL+4t3015wozeMrHrCrvlgMPHSg6S7Bv3z6GGeS704/iKhdbRph2prhQGuCB1tezuSFMJtpjSf7Hq36aofwC48U8PYlGViRTHMtM89Xnvk6DZSOEICpsWiIGJelQ8n1Wmz1kRIYT+WGiIkJm1CY/J4nKIueGn0NrKGsfJUIpe6GXLJgCdCJgppxnd1MP/2zng8RMm1QqdYkf6ssdtIIg4NixY5RKpZeEWjydL2IISefqJoZmM1AJu+V+VKANsMoaocD3FCoqGJcO3z15mu9MPMPB75cIfPANUY8AWoWzHlqDVIJEBXav7+LE5AxSCl63bhXvv2s3jdGQ7pWyYyQiklxQqFOvEBpXVHC1T4JFWpi6KOpY0uANPZt4Q8+mZT//hY138Gennlpumq2BQFD/oQjpPZvaWpef07Iu8UStzeQeO3aMpqamemX1xahKTk1NceLEieeVkA4PD/PWt76Vhx56iP/yX/7Lj0dCepu+exuvMFwrPj+f810tKR0ZGaG/v5/NmzfT29t7xePaI61IIapzmXqZMilAZ7QZS5psTa7lO5mnqSiHqIwgREiLdX2XtnIoqKebInxq+JtMu1niMsKEnuVscYzR8gw/1XUvQghMKflXG97EL616FeeL0yTMCBsaOhHAT//of2BLI5xXxKDZbqAcOOR9h65oMxWdY7A8yURllrJnMF0KsITJ58tHASjj1fcpl8NCpcBKu4F/ufeNpBrDAmxvb+8yP9TnnnsOIUTdD7W5ufkl75QNDQ1x/vz5l4RaPF0u4GvFymQTldwsBc+t/kaglQ5nNEU47uKpAE8pvjF2holCnm9On8TTfnjPVMOKWJKcgiBQkjsaV3KhnMHXATvTPfz8qv1sT/dUjxds7IzztXwmFKXSYFgaw86jzSSQrJ5JVJf9xbtTCMGO5m52NC+fB/7tDW/lN4//96r9zyKW1imEgEAJXtWyedkxUkpaWlpoaWm5rKVaIpGoF6RfjH1gLSHt7u6+Ybq267r83M/9HDMzMzzyyCNX3eO/onCbvvvSoKaa93wU9C4HwzDQWqOUumTj6TgOhw8fRmvN/v37r5jUaB0KwayJt5OOSLJuqL4bagYJokZA3NRsagj57W/r2cx3Jo5yvjCP1uHwu6ElO6023rf/9ZgRydNjT6G0oiOyWO2bqEzzyYHvUnAO4qiAPU0reGfvblYm06xMpuvHWVJeUr21hEHUiFDyfRb8Ig2xCOVAMDurWJiFlmiMtB2+v5zjkhWV+sB7/SwCgqjGtOCXVtzDm9bdWZ9NrSEajdLX17fMxHt6erpu4l1LUF/soFWTgddas2/fvpekK9eerCZWUhBtjlDKOgRSo4RABRKvQWP6kG6wMSOQrZT5r194LJwV8iWRmMBEUHT1ssQUwmCwapPit15/Bx1WK6aUWBddv7P5aZ6cGSBpRYhIC0f5ZN0KSmsGS9OkG1fha4WjfHa3XHnDtRQ/t3En//PEYcq44f2kCUW1tEA6iwt/azxx1UBQ80RNp9OsX7+ecrlcVzs8d+7cZdUOXwhqglY7duygtbX12g9YgvHxcd761rfy4IMP8vGPf/zHIyHl5kjE185zG7fxUuCl0pCoMWomJibYs2fPVWn+WmtsLJqtNBlvrq7CC2G8F8DKaLi+bkisZGPDSg4tnGJWZ6uKrJImv4F3bXgL3W3d/MPo98i4Wfqi7fUOV9Yr8u3pwzw5d5aCX2FVvJ03d+xmZ2o1e+xVy16LKSV6yVuSQhA3IhR9l5xfIh0J/dGzrsNkSRGRNj3RMDGoBB55z6kK3lycmIa6Bg80ruCDex6kJbqcZWSaJh0dHXR0dNStNDKZDKdPn8ZxnLqdWltb24s60qO15uzZs4yPj7Nnz56XJKnoiDVgS4NK4NMciVEJvNAaqHrNapcxKUySSBzf56/PHkTLAA8fU0hMaVDR1WRWs6zwGyPK61t38OYV6/C1Imos37/4KuD/G3sKw5B02EkCrVlwK/jaZzKYok22YmGSKZfY2dpBW/TaRd+1yQ7WxHs4Wxqp38+LCWn4pvxAgpZsS19d4CiRSJBIJFi5cuUVGVM1mu8L3ZvVqPbd3d2sW7fuhhJSz/P4hV/4BUZGRvjud797wwKItzJuW8K8yFhK34WQ+nKzklLgkqS0JiedTqfZvn37FRMorXW9c7s63srelpU8M3cepUNajxQBgRaklc0jR55mMD3G06qfjJpESAOlQnpNb4PLL22+h0QsxlhllJyfI2Wm688TKM2zGclEqUjcUJjS4OsTxzkwN8RHd7yDnvjiseubmulNNnIhO48dNepKfAtOGcNU9KUaabRDOsWPhhbQ2kXIsPOsgLhtoaRG2xrhhlwULTUqAtrSxBsFP7Hhnmte2ysFrf7+flzXrSchN3sO9Uoy8C82Xrt2FV89cYapQpF4W5RKyUN7VfPsAJCCeDpCc1MyvN+cCpN5J0zwIj4eAoHAlAJfhQJCQoJhQsdKWLPVpNFMELvCIn4sO46vAxqNGEIIYoaFY/qUfI+sV2KwGBqsb25s57Ud6675ftwg4MvnTiNdgSkMPFHNkKuiS1pAzSH+jevWXu1UlyAWi9WLFzW1w5mZmbraYUtLy3WZml8O09PT9YT0RgWtJicneetb38q9997LJz7xiR+bhPQ2buOVhFrMMk3zRU9KawVMx3HYv3//FUdOasVnpRRoeKD1VXxp8mt4OqjPYmoUpjKZHpziG7PfZi5a4njhVH1Wr7bH2966npWtvQQ64ExhjAYjvsz3ecYpMFKex5YF4kaEgwvnOZ4b5tfWvJl7mhfZLEIIXtW2ji+OHsFXKkxQtabgO/hakbJM1iTCotzZbJYxPY9RpT5pNIYMVfiFvJiyWR0bkYJ3bNl3SUJ6MWpWGs3NzWzYsIFisUgmk2F0dJRTp05d0wP0+UIpxcmTJ5mfn2ffvn0v2Rzg1qYOtjR1cHh2nAbDImqalP2w+ymq2n9RadLVkMZA4Ps+A6UFEOExvtYEOkAg0XKxMykRxGWEVt1MczSGKQ1MLt2/jJTnmHULxA0LQ0oMIG5a5LwATwcMlqaRQYz2WIKfWbvtmoma1ppj2XEmy3mEtlCLrulhg0ULlJYoLVkbb78kSb4arsSYqglHpdPp+l4wHr+U5v7/s/ff8VHdZ94+fp0zTb0XhKgSvari7tgYV4pEgpM4ZZ8029kk3jjJEzveNG/KOvE32ZRfNlnbG2eTPE6yRpLBNgYbbHBJXEAjAaIjIQEqM+rS9JlzPr8/RucwEhJIYiQNMNfrRWKk0ejMYebc532X930hXC4X+/btY9q0aWMWpIFAgPvvv58TJ06we/fuiDbuijKYiBClGrIsj8mc6GIMt7vMZrNx4MCBQYZGw6EJUk3QyrLMw/Pu5j9ObOdofzMe1Q8YMEtgMBt5WzlNZUc9HiW4FFsyqJgMKiZJokMx8JL9XZanFGGQDMiSjIoCBD/8jU4vNncAswGSzTEYJSOqELR7+3mhuZavzL/l3GuSZb6+6lq+89ZuOj1ufc7BbJSZnivpghQgoAS/51a8KCr0+rz4VQVFCESMishQwCsHK3YGgRwjSEka+zLzoUFr6A7QcAWtsdjAh5vsxAS+tfpG/uvdfZzp6cU83YKr24PkJShKjeAx+XEGfMQbzfjwDRREpYHNsgKBiskI+ASqYsCUJDMtD6Yv9bIieSlp5qQRf3/MQNVaAH7VT1/ATWDAVVGSYEZCLGuylnF95lwSTRf+N/QpCv/fB//grdONuP2BgVUx53qMtP+WBGTHx/PPpcUXeLYLM9TtUFtqPnQ/bEZGBgkJCRcMPJqN//Lly8csSNvb21m/fj1FRUU8++yzU2LUMKFE23ejXGZMdPuuFi/i4uK49tprR0x0a2JU85+QZZlb02+kN9DLBz1WXKp7QNQJYoyxnDKeYX/gBE6HonsLyJJAFsH/r3Ee4azHRm5MFkbZgFc9ZyroUfyc9XQDkGiMId4QgxCCbr+D/21+h2tSg7OmGvfNKuFATzMNzk59ZYUsQWasidnx5yo/igiKnoBQ6PW76fUHY71PVZAkQXByRAquCkFgNIBJDoqdsSBJEgkJCSQkJDB37txhd4BmZWVdciunoigcOHAAj8fDqlWrBrsWTzCyJPGtFTfz60P/oLarlUSjBUVV8QsVbZ2aQNDr85BmiSOAGFjNM+AqDbpPg1CCQtYkySTKcSSoieQnZ1CQPvJMrEU2IiGhCoEiVHr8LnxKQN+RGhercE/mEm6dPofchJHvGTReaqnjb0376FFcCEkdeAUaA9FegEU28ZX5d4z7vI3UMdXR0UF9ff2gVXupqakXvH9zu91UV1eTnZ3N/Pnzx/Q+UhSFL33pS+zfv58333yTrKyscb+miCXavjvxaNnTcLb0yLKs284LITh16hT19fXDGhqFMlSQah+ITEsSP176UY47Wjncd5YXbe9hkiTSzIk09PcG90Ey2BkrIASSAvu7nHR52smKnUamOZNmTzNZ5mxkSabN7UURggTZhFEK/pPIUrCCVd3dRKevm25/L/GGOKZZMimalsPTd69jR8NJzvT1MT0hkZhEL3t6q+ny9WAxWIiTY8hIMdHR68PlV+hX3UjSuXlDYRKoBoEhIRAsiAmQZInS7Ev7AA/dARquOVTNBj43N3fMWbNwsTwni1+X30V9Zzf/U7+XA+6z5MYl07S7H093gICq0uF1IgdUHF4fsklgilHwO4wYDCoyEl6XjAhIYACHUDnZAB3tsfzfT6+44O++Jn0ucQYzvX4XXlUTvME/FgO0+M+Sn3TjRQUpwN+bz/DW2SY63AM3W9JAaApxPDBIEqU5OTy++hYSwnRDMHSpudfr1YPWqVOnMBqNetAa2gLe3t7OgQMHWLZs2ZiDTGdnJ+vXr2fRokX86U9/CksXRkQSoUEmSpThmMhKqWZolJuby8KFCy+afNYF38CNslEysimnjA+l38AZdzMv23fiCDhJN6fRH3DjD7j0j9u51Y/BaqtDcXKop56ZOdMoTMrntfZqvGocFtlEr9+FXwQwSQYscrBLRJIk4o0xtHv7OOloRSAwyQZmxWaRbonnPwo/wuu2YxzqbSXeaGZ2XDLb7e/R6e8jRjaTaIwl1WxGksA/EIOE0GL9wCSjAWShYtDnEGFabMKgLqzxELoDdKQ51MzMzDE5tvp8Pmpra5FlmZKSkkkZzxlKZkw8Pyy+nTPOXrY3H2Pr6UNkxibQ7nbS7OpDAD0+N2ZJps/tGljKIAcd7mFgJlnV50kDqkqPcNAvubg/c9kFkwE5MSnMS8jicF8LfX73gAvwwPMi0U8vCQn+UQlSm6ef509X06N0oQa3kZ5LQHMu5E+zpPPl/NspSpkzrvM1HEM7prRVe4cOHSIQCOgt4EM7ptxuN/v27SMzM5MFCxaMWZA+9NBDvP/+++zZs2dCDLEihis03kfc3dlEZE/9fj8nT56kq6uLa665hqSkkT/MWsZ0qCDVkCWJRYnTOdjXgEAhzZwadLj1e/UWmdD3ilbJcvjhg/eqyU3JZXH6UpwGJ3afDQCvqs2KDK4i+kWAVnc3X6v9E3FGhRnxFvITZrI2ezUzEpP4wsoiAOzeHp469Qp9Si+9rl7MspFEYzzZWWk0tILLHdxXpTIwx2hSIS4ASAOiJFjZTUuAj88pvaTzPZTh5lDb29vHNIeq2cDn5+cze/bssB7fWDHIMtNS4jmjdpFsjqWl30VPtg9DD0huCMgB2oQTDDJZ8xTMs/tpeSuJgMeAUEAoEkKSEEkSRiOoiqCnX+Gf/99L3Dk/h1vm5pGbnU1SUtLgnZmWeL48/xZ+cmQHijhn7282yOTGW3Cpbl6z1zIv4S5aXL0c6msDYElStn7j4VcV/tF6hp/t+wct/Q5UdchVbeDXGSSJtXPn8cTqNRN6Li0WC7m5ueTm5uoOf6FzS2lpaWRmZiLLMkeOHGHZsmVkZ2eP6Xf09PRQVlbGnDlz+Otf/zolNzhRokQ5x0S67SuKwunTpzl27NhFDY1GSj6HkmnOoMPXhVvxkGZKxSAZ6A+4CL10Culc7Sk4my84evIIKU0GZmUkk2/J4ZTXhorAEfAAkGCM1R1zIXhtdgY8/Pj4ZmQg1RzDjNgMNubcSF58DmW5KyjLXYFX8fPX5rfoDvTT6uvCIhuJNViYGZNJgkmm26sZRYK2nVTSj+ycHJEluG9OAbGG8I3WjDTSozm2jmYO1e12U1NTQ3x8/IhrdCaTmfHJNLt6McoGXAEfPX4XKiqBga7cVnc/siRhkYzESiYcqgtVGhCRA9kKgxQc21FEcNftkyff4NiZk9yQmcf8aTNJTU0d9DolSeIr+Wt45OD/Yh/YUx4cF5PIMMfjU/281GJlXU4hTr+P2u4WnAEfs+NTWZwcnF0WQnCiv51fn9hDo6sdkyn4vpORkEKGCWUkMk1p/Kn0ixjliTvXQ1ft9ff309HRMahjStuHevToUTIzMy+YTBoOVVX5xje+wZtvvsmePXvIzb3wbGyUyCTiRGm4s6eyLHPw4EEMBgPXXnvtRQ2NtN89UpDScCkDF4uBC4A60Npx3l4zwC8EWbHxrF62Olg1tLczvW8GKSmpmJJMzMlI4H9cx/EoCkbJiCRJdPtc9Pk9ICT6/UFzo2ann37lJAAfn74+WAUWKn9r3oPd102OOQ27rw+fqtDu68Ype1m1ZBbvHe/F71aDmbt4FREfXMKMEFhifcQYZZAkNsxcwaLE0ZnkjIeLzaGmp6eTlZU1KHOm2cAvWbKEnJycCTu2seBXg2vU7Q4vnW4vxjQJNU9CagaDGzwmgTFDQs1VScsyEbi9A0ejhZ6TSQQCBogD2Rhs6VUHLNqbHT7+0tLCzo4OPp6RSU5srJ5l7jAFeKntIEf6WkmygORXiZEtxBhlEs1GDJKEW5U57W5n69mDvNhch8PvJaAGl3XPiktjTmwG1rY2DrV34veqIQvrCMbPkLetRTaQFju5635CHf6EELrD35kzZ3A4HMTExOj784YK9pHo6+ujvLyc7Oxsnn/++YjbsRtOokZHUS43wp2AlmWZtrY2XC4XJSUlFzQ2EULov/tisd6teFCFqrfVKiJ4/deun1KI7BMIzLKZdStuJ85por29nQUdcaTGTMOfaCAlNZlt3fvp9btQB4wQPYqPDl8fqgCvogbjv9+LWwnwt+bdfHluGcmmYMJ6V3ste3uOkxObhs3dg08E6PE7cQY8lGbM5D17L86AD7+qokleaaB1FwmMAytNFiVls2nm+McyLsZ45lAdDgdWq5XMzMzz1vVMJV4lgEfx0+bpQwiwGAy4B947ASBWljFKMpkxcfjcCl7VB/LAfaQUnN0NrhEMtiE5UXhZOc1uexvrOmawUE3UfRYMyXFs7zjMe531ICSMkkyMbMIoy8QbzBhlAxLQ43fxXnsjz53aT7vHgaIK/CJAqiWW4rTpNLo7qO0+g0v1YTRo99MD7dsiKEwFYJQMxBtiMEiTNwoV2jGVl5eH1+uls7OTtrY26uvr9VWOHR0dozbNVFWVb33rW+zYsYPdu3dPefFiookaHU0CE9G+29fXh9/vJyEhgeLi4gsaGoXOlEiSdNEL4qzYTCQkAqqCpALq8FbbQWQ25V6ru5bNmTMHr9ert7V2dHZwjTGDd4WNDiU4f9IfCIreOFnCZDCiCEG3V6HVYSbFdJY2bzs5MVk0uWycdtnJNKcQYzCTakmgdyBIxRktfHbG9ZzofgO7tw+zpGJAxq1oO7ckDLKEyWBicdI0Pjv3xvGc5nExmjlUo9FIV1fXpNjAj4U0cxw5lmQO209jlGRkVcYlqYhcgu07koRJgr5mmV7hZ1q2IG2Zi67ueAIOA0ZD8L0VGDDV0NpwU+PiaHd72K0E+NGSJXR2drLjyF7+4juOVwrun1UMPgwGPxaDgRRLMJgH51cERkz87fRejLJMqimW4/2dOAN+WhwO3vI04/cCijxwNdIM5c+9zyWC7wlZllg2hXMY2tyS1+uloaGBRYsWYTQa6ejowGq1ntcWNlw7rsPh4MMf/jBJSUlUVVVN+MqgKWcKZkobGhqoqKggLy+PhoYGHnjgAVJSUoZ9rNVqBaCoqIiGhgZ6enooKioa8/NEuXIwGo14BypBl4rf76erqwtFUUZtaCSEuKggBZgeMw2LbMGluIk3xCICqn7NHrqSA2BJYh7zkmdDcnDP47IBs7f29nbaG9u5SZ7BTnM9Xb5+JEnCqXhRCQqEGNmMEAKPGqDD6yHG0ENdfyM3pC3FpwbY23MiaJZjSSLNlECX34FH8eFV/azPKabTfYBjfTZAxSwb8CqKXjGVCY4E5cYl8/VFqye0MhbKaOZQk5KSaG9vZ9asWWNe+zHRFKRNZ4+tHkWoxMgmHAEv5zScQEHFq/o56fJgkczESmY8wjNgMIlePFBD3ieJpji8qp9XDTbuWn4NotfF0TMNPHOslk7Ji1E2oEgqilDwqxJp5nOJWJ8aINEYyx/qP6DT52SaOZkmdzc9Phdt3h5OOFtRCAyqj+it5tp/C3nAlRlWJM+c0vNtsVhIS0ujoaGB6dOnk52dTWdn56COKS3eDxfHVVXle9/7Hi+88AK7d+8mP39sxoyXJdGZ0skjXAu1NUMjk8nE7NmzL+qwq6rqwA356DJGq1IXsKezjgZHK3gVzAbwKQMfehF0uoXg3/MTMtiYu2rQz1ssFqbnTkdJ9+F0dVPqiGVO12yOd/VzVrg4KQIYJEU/boMkYZAkmp0B5iYF6A84yQGcigefGsAim5CAJGMsScZY3IoXh+Ih3gRxFj9eVwBZVlEkMEgGhJAwGlUMBollKdl8e8ndpJgnfgnycAydQ3W73Rw+fJjOzk4Ajh07FlFLvCVJ4qbMfN44czoYNJwqYmCeRAw4H3oFIGRaW5Nx+frJyeklLtWLz2EecFIcfE0wmg0YZZkEi5njXV30yDILFizgafdB/D2QKsWiKAoBxYzX4sOhuLH4jViMxmCQBI70t9CnupFVCZ+q4pUMyEYjKhKKKgUXpw04RwtthFRrOddmSwUsSE3nQ7OmNtPY1dXF/v37Wbx4sV4hz8nJQVVVent7dfOE0J2oycnJpKSk4HQ62bRpEyaTiS1btkzKcu+rkXvvvZfq6mogKCzvv/9+Nm/ePOxjn3rqKZ5++mkA1qxZM+hxY3meKJc/oe274Yj1TqeT6upqZFkmIyPjgoJ0qKHRaGLJNEsWK5OW8kGPlT5XH1LQGQ5ZCATyoFgfK5v5zIyNg35eM3tTk2TsWS4SHH7WOhZzpreLDtXJUUNnsD1zQCRKkoQZA27Fj1sJ0Od3AuBV/bgVH5YBd9QYg4nphlSEEJxxdyAkSLfE4lR8QZMcRSDDQMVUwiBBqiWW7yy9g5Wpg/dYTiZD51BPnTpFU1MTkiTR3NyM1+sd8xzqRLImZx7/v6N/x6cquAI+XeRrEVwzHATwCB9B43rN8Ci4uzZ0d7gExBpNxGKi2+dkv9tGed5K3jd20NukkCzFgqLiDwQIyDI+EaDb5yLFFItb9RMQKn5Voc3fgCxLnAi0oRhUYuMkzIoBb2BgkaoQGAzqOV/ogRgf/L/g/6aY4lk/vWgSzuLIeL1eqqurSU1NZcmSJXrSecGCBbhcLtrb2wftRNVWy6WkpGAwGPjxj3/Mc889x+7du1mwYMGUvpYol07EidJLDVRCCBoaGmhoaGDFihWcOnVKD0LDPfZiMyUjEW+M4ZNJ1/FX+xu0xroIEEDxeomRLPjU4EXKACj4yYo1s7+3npXJ+XqbhCIU9nS+ymHHAQIi+HpNqSZunbmS0+0JNJ6tRojghckoGZBkCZlgdc0sx5FqSgYg25JKnDGG/oBLb/EB6A+4STbFs639HyQmdRHrNOD2SUFnYEmQFCOzID0BD14+l3cNObEXH5qfDFRVpb6+HpfLxXXXXYfFYhnXHOpEc23mLKbFJNLlduBVgx67WitukIGWLhV6OhORJImZ+W762+JR/DIBJaTZW4Lk9KBwMkoSblXlaI+dHR2HsHafwSTLGM0mLJhRRQxSQMIt9dPjdyAFgvMsBsmASw2uoPELBSSBxaTi9UtIsoQl3ovbFwOqdK5zV2jzUMEAapYNLMvM4pe33UncFM5ednV1UVtby6JFi85r2ZZlmdTUVFJTU3WHv/b2djo6OnjkkUf0/bUpKSm8+eabJCRceN3BlcJkt+82NDQM+nteXh67du0a8fHFxcV0dwddR0OroGN9nihXDuEY1dH2I86cGaz2jFR5HcnQaLTclngTPWe6OG1pwWxR8flUTAYTiqoOXENlAqqfZGMcxxz1xBtjiTOcS4ZV9xzmFfvfcQ4YJMlGmbkzpnOzpYifnXoFn+rHrwSQEEiyDFJwL6YqBOkDruxxBguZ5iTOeDpINJ57bpfiJcZg5nCvjXpXC3EGGUcgeF5Vgu2j+fHp9Clu7p25kpWpkTNrZ7PZOHPmjO6oPp451IkmIyaelWk57O9oxicUApzvGzIICYwD+9RUgg66oaSYYwatCLJ5+qk4a6WiuRqvGiDZEovRbMAiBLLfSHegD1fAiyfgxSgZiDOY6A84AFA4N0OMANmgYJEVPD4DBqNAlgc6A0SwlRiCSQqDLJNhTuRfF5YzJ35sTvbhxOv1sm/fPlJSUnRBqiFJ0qDuwtCdqM8++yy/+MUvyMnJoaWlhR07drBkyZIpex2TTbR9dxIIh/mBoijU1dXR3d2tGxqdPn162Oe7FEEqhKCpqYmzDaf44tJ1pGdm0OV38pNjL3LG1UmiyUyPvx+PGsAowWnPaX7ZcJYb0pbxwOwN7O9rpLLlTY70NxFjMLAgMYn8+Djcqos6Rw2L0m7FYjMTUCUUvMGLWgDcQpBiVplFFslS8GY7y5JCcfI83u6sw6sGV5K0+/oJCIV0cyxutZ9YYWJpqkqTV8KvgMGgEmMSOIVgZfIsViTPGtf5DjehNvClpaV6q8bFlngPnUOdDFINZhYSg1XykBhvweZ1DxGkIa2xQqKnK4HMLAfzru3gbF0qrl4TqBKSUSItM47YuKAIdPqD877/2fgWXuHDLfy4FfAoCkkmM17Vi18N4FVNpMQESDCCO+DDqUrEqCa8A01CYiAIGQ0KAcWIbFAxmhUC/oG8uVapHZgnvXH6TD66aCk3zZyFaZLauoaju7ub2tpaFi5cyPTpF8/mx8bGMmvWLGbNmsWvf/1rNmzYQGtrKx0dHeTn53PnnXfy61//eswGSZcdk9y+u2vXLtLS0gZ9LS0tDavVqrflDmW4ltzxPE+UK4NLTUA3NTVx/PhxlixZQm5uLqdOncLlcp33uNAK6VhjPQSTZAcOHOCm6deSPy8fn/DzfMs29vcdxmAw4FLcuBQPIOhTHDzXspW3uvby0Jx/wqF42G7/B292VKMiyDKnMiM2E4Gg3nWGHEsGabGJ2L29GNXgahFJVfAPOKVmE89cQ3CUwiDJ3JK5gr+efZNmdyeKKtPmceAI+EgwxHC0pwaEYJpkxG6S8KiKbmzTFXAyIy6F26ctHvf5DidCCBobG2lsbKSgoEC/BlxoDjUpKUlfNzNZO0u1Yy0miWO0khwbS6vHQUBc+B7Vj0IcMQTwoYbUVtPMsaRbggkFrxJABV611eFWfDgVDwEUWjy9JBtj8SoKPjWADwmjFJxlRaj0qS5ihPH81vGBpLgEmE0KqhgwskRGUYP+FQZJMCs2g4/Pupab0heRZJq6LiKtQpqcnHyeIB2O0J2oCxcupLGxkb/97W/MmDGDD33oQ9x00008/vjj3HzzzZP0CqaQaPvu5DHe7KnH46GmpgZJkvQKG5wvcsczUxKKqqocPXqU9vZ2iouLSU4OViyzLEk8umA9W1ur2Wk/gF8EiDUIYox+BOBUFF5r30urp5tGVx/t3m4CQqU/IOjwdtHkdHJLViYt7j5e6N5HAD99AwubjXJwy2WMQWZNygzyenJ46623SE5OJisri9vTC4gzxPDXs+/Q43cObMRUaXb7kSQVr8FHQlwsyxJSafN46PcHF4LflrWET8y6cdJmSy6EZgMvSdKINvCTtQ/1Yng8Hqqrq/nYtHmkqX28bzuL6FGDaWn9vTRQKZWDrTJClejvt5CU4eXGWxR8AT+W7oW8daodt6Sg+nx4A4FgFj3JhyqpZJkT6fCrOBUPXtVPl8+PQYKAUAdWwQSIM8WiAB6/D2EUSAEG2smCM9rSgOeiQCAbtZnpgevRwHhpksXCFwuLKciaWiOp7u5uampqWLhw4Zid83w+H//yL/+CyWTi+PHjpKSkYLVaeeWVVy5oeBJOtApfT08Pe/fu5WMf+9gVK6x6enqG/XpXV9eIj6+oqABg7969PPjgg+Tl5Y35eaJc/mjxdryxXlVVjhw5gs1mG2RoNNyO80tJPgO0tLRw5MgRFi5cqDv5xmLgvtwNTI/JYk/n+3T5e5AHpkxVoRJQAxx3NvDjE78FYjnjtuMTQa+I0x4bdl83yxPzscgWttn34VQGjBMHjI+Qgr0rC2MyWS0WcWBvjb7/c15mJh/PvYk/NL3N8f4OFFWgIHAHXKgEd2X6TSZmx6TR6/PR4/PgFwqLk7J4aP6tTI9NHvP5DjdCCI4dO6b/+yUmJp73mKFzqKEeHOHch3oxVFWlrq6ORYEY/ml+Kdtaj4Gnf8THa4chCHa1ZViSiTOYmJecyqH+s7hVH07FhzLQgmuSJJwBD5mWBCyKgQ5fP4pQ6PQ5gy66WnO4kJAxEmcy0B1w4JcERiT84py2EAOPQxIYZIGqaJPPA0ZXAkyymbtzClg7rXBCztdo8fl8VFdXk5iYyNKlS8dcFHr66afZunUrb731FqtWraKxsZFt27ZNmhfB1RTrJ5uIE6XjyZ5qOyzT0tJYunTpoJbOUFE6HkOjUPx+PwcOHMDn83HNNdecN3SdHZPMA3NX0+Jt4oSjnwB+DJKMT/UHg6MQvN/dgBByUCQQvIgpQnDW7eH9jnZa3eBVHcyIT6HHGKDd40ERgtnx8VyblcyS5GnMip9FppyhX6RPnDhBR5wLvxwgwWjGqXgwSgaEouIVEqow4VG9xBvcLE1Oo8PfR4Ihls/M+RAWeepXZHg8HqxW65hs4CdqH+rF0Bayp6ens3jxYq4Bmhw9fOHNF2hrdyEU7dgFuv3hwPCmKiRSTYnEGWMxGfx8vrSYwqxuqo4epcPlYlZyMvNzknnLcZQUU3xwGbUxAa8awKf6CQhQpWCrTrzFC5LApXgxSjFIgF8NYJSNqKqCFqpUEVzCjQSoQetFrWXXKMlkxcZjkmWkSXTfG46enh5qampYsGDBmAWp3+/nc5/7HE1NTbzxxht61r2kpISSkpKJONxhuffee3n99ddZs2YNXV1d3HvvvdTX10/K7w53+25fX9+gr1ssllEtsB9JZIaaF+Xl5XH77bdf8NyM9DxRrhzG0xWlJS/9fj/XXXfdoHnxoc93sfVuF0IIwcmTJzl79uywRntm2cTtmTfhUbzssL+JDz+yJONX/agDLrxN7nYUYdBFg4yEisCj+qjrq0eW4ugNeMgyp2KWE+nwuvCpColGM0sSs1mclENaYjaLYmfS292rj7A4pACdBhexkhmX5AvulUbCM1CRCwiFLn8f+QnTcCk++v1eHpx3I3kJGWM61xOBJvL6+vpYtWrVqOf9LRbLiPtQAT3Wh3MOVVEU9u/fj8/no7S0lBvMZtbNXsqPD7zOrrYTgwpNuoFQCHFGE7PjU2n3Ork1ez4fnbOCv56u5nifnTijhdK0WbzdeRyLHIssySQaYnAbfPQrnoHCQrAcJhGM+R4lgMUgIyOhoGKRjfhVzcdk4DgkcW5udMDISCLoR5JsjCHGaCRmiu/5NEGakJAwLkH63//93/zoRz9i+/btrFoV9GqZM2cOX/7ylyfqkM9jKmM9RNt3JxWj0Yjb7R7149va2jh48CD5+fnMnTv3vDe4FqgudabE5XJRU1NDXFwcpaWlwzp+aihCxSf8mOQBQco5r1NVMCBIBxovRHDHmYrESYcHIQzkxCQQb4zBK/pJxIdPVehW3VT32jjsqkHiZeLkOPLjZ1EwexnpczJ5uWkPDo8TOSBQAFUoyJKMAQmvULEg0ac4iQnEoAiFm9JXRIQg1WzgMzIyWLx48bjFYzj2oV6M/v5+rFYr06dPZ968efqxzklM5c5Z83jOX4u/R0KoA0sCQtp5JaNCVoKRZFMsjoCT4pSlzIjJZuaiaXx44SK8ioLFYGBrcx1vHT+qG+eZZCMpxnjavD1IEsSafMSYAhhlFUWAqgosUjALH0AgoYT+YvwBQzD5goQcMAESBiDNZCHFHINbqGTHJbA4bepuWDRBOn/+/AvuFRyOQCDAgw8+yNGjR9m9ezcZGVP3OjZv3jwoWzqpDrJhbt+dOXPmoC9///vf5/HHH9f/npKScl41s6ura8TX3NDQoJ8bzWW3oaFhzM8T5cphrAloLVYkJCRQVFR0XgwOjfVjWe82FG0MqL+/n1WrVl2w60aSJPwMrAcRAdSQzhRFSIPaK9WQkQ6X6sOnCBKNsSSZ4ugPuLEYVITkwy18HO53c9zZQGXrW5gkI3PjcihJW8z0nCzeaT6ErdsBQuiNoSoSRmSUoGsEHtVPt9+JK+BnWXIuCxKmjfr1TxSBQID9+/fj9/tZtWrVuMdtwrEP9WL4/X5d8BYXF+udW+mWOO7KXci7nU04/T7g3Ha10HeYRTYyMzYFm8fBgqQMrsucTbI5huK0WXiVAEZZ5rSri7c7j4es7pHINCfR5/ToKleWVL3WqSBwBAYSy0LgUQL646RBxyFhFIbg2iJJEC+ZSTXFYTAGPwcrkgdf2ycTTZBqBYix3IcLIfjjH//Id7/7XV566SWuv/76CTzSCzOlsR6i7buTwVhnSoUQ1NfXc+rUKVasWDHizJj2fFqwGmt1FIJthfv37ycnJ4cFCxZc9OeXJs7hiKORwIDhUTCzJQh68gYFkRaeQq26gyuXg3vOunz9dPn6B/ahgSIkun0qTsVEitmNU/RR56jjiOMIEjL2gBkVUzBTJoLHpxJ0hTUio4gAQgVZklidUcTtmaVjOgcTgSZGZs2aRV5eXtiqmSMFrdA51LEGLe1Y58yZw9y5c8/7/sY5S3mj7SRnfQ5UlxHN20CSBJIBslJgUXoiyaZ4ipKXcH1qof56JUkixmhEFQKLQSagBmj19JJsjiXOYMateFGFhEUOkBjjH1gBE0QIgR8/BlkgVEPQtGigKuvzG1BEUCAnkkR6Wir17T14Awp+VdDldhErydySkUDr2bNkZGRM6qwOnOtymDdv3nlC6GIoisKXv/xlrFYrb7755pTPja5Zs0b/782bN/Pggw9O4dFcGmfOnCEp6Zz52dAq6Zo1a3jqqafO+7nhKtNWq5XbbrtNNzrSSEtLG9PzRLkyGE/7bqih0UgxeGish7Enn71eL7W1tciyPCrhNC9+TnA1nFAQA4JQuzoPVz3TIr8qglXTGNmMS/Fi8/SghLi4utXgHIYsCXySj8OO0xx2NCOpBhwBCUUYdBGkJbwFKvLA2EZAFXgVhaLU2dw/9+ZBxjpTgc/nw2q1YjKZKCkpuWBSfyyMtA+1ubl53HOo2rGazWZWrlx5XhL7xqw5LEuext7O0yHbas9hkmTy49OJM5m5ZVo+G2YtJtl8rqvOYhh47SI4J2zzOkg2xZBgjMGj+gdabcXAPPC5naIgBnakC2Q5aIqoisELiSTAJJnIj8/htKeD/oAXVVJxBjxIXsEq43TUll56siyTvsnA7/djtVqJi4sblyD9y1/+wqOPPsrWrVv50Ic+NIFHenGupFgfaUSMKNUYTfZUURQOHjxIT08P11577bAzCRqyLONyuVCU4HqVcMyUXIy7s67h9Y59dPr6Bhp5gmLTKAmMkop/oKXnXNAKhpXgvCB0eO241ZA2UECSghUwr2rErZgwySpmAsElzULCbAggB0wDbRzinJONBBmGOBTVzSx/OnfIReQzGxFQYWrM7ABob2/n4MGDzJ8/f8xiZCyMNId6oSXeQ+ns7GT//v0XPNZ5Sen8bNVafrT/VY519OLzSEiqhNkkceOMGfyo9E4sJhmjZEAeplVWFYKfHdvBa/bDeIRCQJFwBHxYZCMKAWRJkBjjG2QtryEQA6JUxuOz4FcEZsmE2xNMUJgx40BlepKBRdPSqe/qJi8hjQ9Nn8MN2Tkk+gJ6G3hcXJy+Eyw5OXnMN3Vjobe3F6vVSn5+/pjfA6qq8tWvfpV3332X3bt3n+fSO1VYrVb+93//l9tvv50HHnhg8n5xmCul2nLzkcjLyxv094aGBkpKSvSMsdVqJSUlhby8PPLy8vjpT3+qP3bXrl1s2rRJt/W/0PNEuXIJrWyOFJc1U8ETJ06wdOnSC5qfybKM3+/H6/VisVjGHOv7+/upra3VV1OM5tq3IH4u8+PncKj/xECV9Jz5jGEgOTjMqwrurwS6/H2YFK+efD73iCCKkAcmQcTAzKhAlgSyZECIwUltASTKZgwCElQjH2cByy1ziFOmdjTD7XZTXV1NUlLSmMXIWBjNHGpmZiZZWVkjCjJtlCghIWHEY40zmvlp0T38+ODrvG0/hVcN3q8aJInZ8an8tOge5iYE271HMg18rfUwPzu+C0fAg4qKx+un0+fUtzNIBMdsFCFhkMS5BIQkkISEEjAiMCJEAKMwohr9qKjEGMz4VXCrfvLisjjt7sQim1idtZji5NnM8MfpCR4Itj1nZGSMuO87XPj9fqqrq4mNjWX58uVjfg9UVFTwta99jYqKClavXj1BRzk2pizWwxVdKZWEGOYudwpQFIVAIEBLSwtnzpzhmmuuGfZxoYZGhYWFI845aS08HR0dHDp0CEVRyMjI0J1aL9bCqVViz5w5w4oVK86bKbkYh/sb+FXD3+j09Q/09CvIkgpC0OWLQ2vK0FozjJJKlkXB7jHjVw0E1HPVU4AYYwCDpKIikWDyYjYoSECMwY8BE15V4PBZcClmFG3pJGCSBbmxCcyOy+bTmXfi63Jht9txOBykpKToWcTJ3OWoCf1ly5ZNaXUrdA61q6tr2DlUu93OwYMHWbJkyaiEjyoEx/pbqHfYCShQnDqbmQlpIz6+2d1Ng8POCy1W3u9qRMspqKqEosogJFItEgaTE4McCA4CiHOeSjJgkMy4/SZQTXS5BXGyGYvJSHtvUNwmmy14VD9z4tNINMbQ6urnq8uu4+6Z8wcdS2jbc0dHB4AuUMMdtPr6+qiuriYvL4/Zs2eP6WdVVeX//t//y44dO9izZw9z5swJ23GFg56eHh599FFuv/12Nm3aNKG/q6+vj+TkZFb+n3/HYD5/sfhYUXwe9v/xX+nt7b2gKIWggHzqqacoLS1l7969PPbYY7qYvPfeeyktLeWRRx4BggF8165dpKSkUF9fP0ikXuh5olx5CCHw+Xz4fD7eeOMNbr/99mHjsaqqHD58GLvdTlFR0QXfE0II3G53cObS4SA1NZWsrCyysrJGNQutJUm1TpixCNo+fz+/avgD9e7TiJD2XSHAoxgQ59XSwIgBjyoTUKXBclRc+F5RRiIgZBRVwq+YUIQmgoMdMWnmuKC3xcybmea1YLfb9dimnY/ExMRJq5BpIy/Z2dksXLhwynaMDxfbhs6hulwuqqurdb+I0Rxrs6sXa8dZ+hUfi5MzKUjNHfHnen1uDvW2Udt9hv93+j299VrfIypBnGzGhw+hClQJ/fuypA7EeyNCMWAkBpfixiTLxJti8AoPfuEn3mDBLxQyLAnMiE2h2d3DTRnz+cq8NYOORdv3rd3/uN1u0tLS9HMy1C/lUtAqpBaLhRUrVoxZkG7ZsoX777+fv/3tb6xfvz5sxxUOJjPWQ3jj/Vhi/WQSMaJUVVX8fj82m42TJ09yww03nPcYrbKSnp5+wYzbUEMjCF4c7XY7drsdj8ej32xnZmae5/SqKAqHDh2ir6+PgoKCce86bPHY+a/G/+Wsx0awmdYbrGRKEn0+M17FgCZI0yx+Zscr9HhlGvoTcAQGMmYSmAwBTJIyMMAuk2T2YJSCEypmWcEiyXgFGISMJMXR61dAmDDIgtzYNO7MvJ5rUpeQaDxXCfR4PNjtdtrb2+nu7iYhIUEXqAkJCRMSPEJt4FeuXHneKoipJDRotbe3I8sycXFx9Pb2smzZMqZNC+9Mjk8N8Memd3in8zjtHgc9fs+QR0gDjo6CdIsFk7EPl6LoAUwM3IQYJBUhYvD4LagBhf6AiViDGYtsoMfjx+cxYpINCFRyY1PwKAFy4pL41XV3D2opGooQYlDQcrlcpKam6p+ZS0li9Pf3U11dzZw5c8YsKFVV5bHHHmPLli3s3r2befPmjfs4JpJdu3Zx++23093dPaECaypFaZQo40ETpYqisHPnTlavXn1em2yooVFRUdEFrzdDDY202Ga32/X3sSbI4uLizjuWM2fOcPLkSZYsWTLu67wz4OKvzS+yr/cg6oCnhCDYvRIQBvwht1kGCRINsfiFgsMv41YVhJD0XZNDb8iCXw7+rxEZvwhGgTg5FpeiElAFRslInMHMhuklrM5czKy4c0n0QCBAR0cHdrudjo4OjEajHutTU1MnrHLZ1dXF/v379ev8VAnSoWiCTLv/8Xq9JCcn09fXx7Rp0y7J22IkXms9yv9r3Eu710GXv+/cdLEuPINpBbNsxISMWwquNtLrCwICiowkjJhlI6qioMgqZoNMvMGCW/Ghyj5MsgFVFWRaEjAbDBgkA99YcOdF50idTicdHR20t7fT09NDQkKCfo+clJQ07vOhCVKtFXqs77WXX36Zz372s/z5z3/mwx/+8LiOYaKZrFgPV4cojbj23ZHmTFpbW6mrq2PevHkXvMCNZGiUnJxMcnIy8+bNw+l0YrfbOX36NIcPHyYtLU2/SANjmim5ENNjsvjX+Q/wTvc+PujezxnPaVQ8JBgEObFe3P6gO65ZVog3yICRjBgLyN2cdcbgDFgwy8EFzIjgHIpJVjAOZM2EkBBCwoCEEYGQwSj5STEHiDUYmR4zjX+asYlplvOXI8fExOj7Hf1+vy4+Tp06hcVi0c9HSkpKWC7QQgiOHz9OW1sbxcXFEfUhgPPnUI8fP87Zs2cxmUwcOnSItra2sC7xfqVtP7vsh4iTzXhV/zCPEOdMM4SBRCP4hYKiGvTMuiIkAqoBUJAkD6rBQCwy3oCCIhTizUYyTXG0OtyAREBVyU9K46Gl115QkEKwFUprr5w/fz4ul0sPWsePHyc+Pl4/H2MJWpognT179rgE6eOPP05FRQV79uyJKEG6a9cu7r33Xn1uUmtvDTX4mVDC3L4bJcpEoV0rtNgcCAQGXVMdDofe7jmcoZHGSIZGsbGxzJ49m9mzZ+stnHa7nZMnT5KQkEBmZibZ2dnExsZy/Phx7Hb7oPVu4yHeGMfnZ32Mwt6lvNtt5bjzFH0BB7IsY5Zk/KpCAGVgjtCAQoB4YwwB1YdfqAQGZkTV85558KCPTHCWUAFUFEyyQrzRxLSYZD4x42ZuSD9/D6nRaNT3O6qqSldXF+3t7dTV1aGqqn4dH00H2Wix2WzBVSqLFo3ZTX2ikWWZ1NRUUlNTWbBgATabjUOHDmEymWhpacHhcIR1H+rh3jZ+3/AuAVVFFYo+hzpgyq9fumVJoAiFFEMSvT4vJoOKJAcr7qrQnHX9wfllGWTJCAKcAS9G2UCmKYVexYkiBQigkmFM4CMzSkZlbBQfH098fDyzZ8/G7/frsd5qtY7bKDIQCFBTUzNuQfrqq6/y2c9+lmeffTaiBOmUx3q4ott3I06UDrdX9OTJk3p1LSsra8SfHc1OstC5g7y8PNxuN3a7ndbWVo4cOaJ/f/HixWERHzEGC2sybuC29Ovp9nfxl5ZnafO2YpDMJMSYcAT6UQUkGhJIMafSH/ABTqbFOejxSTj9JhQRHEAxSQqJZu/AawUQGJBQZZVYyYRZjsWheLDIFlalFHBr+g3DCtKhmEwmpk+fzvTp01EURa8Y7t+/P+gId4nOtaqqcujQIXp7eyktLT0vWx1JaDNMra2tlJSUkJycrCcxxjKHeiEUofKG/QgmyUCMwYRfVUYwxQi2ZmVZ4pkZH0t3T6N+i6IOGBgFkxPB97vRIEiNiafN6UMREGewYJIFSzKTuT17CYVp01mSkoVxHJnxuLi4QUkM7T2iBa3QNt+R3iPazebs2bOHNYu6EEIInnjiCf785z/zxhtvsHDhwjG/holEM+3R0GYqJytISUIghaHpJRzPESXKxRjJ7EiLO7NmzWL+/PmjTj6PZGAYukpEu9m22+00NjYCwfuNJUuWhCVJKkkSxSnLKU5Zjl/188ezL1DTexiBIMmUgDPgxq16iZfjSTOnIAkD3b42jHLQbyKgGnQPCm0VSPC/Bp4fCSFJGJFIMcbhUHwYJANLk2axMedaCpIvfk3VrtUZGRksWrRI74Y5efIkdXV1YXGuPXPmDCdOnGD58uUXvF+LBLq7uzl8+DDz589n1qxZ45pDvRhv2k/iUvzkxiRh8/YM+l5oyiEoTGU2zFjKf9W/gyJUJPXc79NWvGi7bDPMCQRUBbfqI85oAslApjmNotQZrM5awPzEbBKMY6+mmUwmcnJyyMnJGdYoMrTNd6TW+EAggNVqxWg0jqtld/fu3Xz605/mv/7rv/joRz865tcwkUx1rIfwxPtIjfURI0pDg5RmdKQZGvX29l7U0Gi8S7K1rGpcXBwHDx4kNTUVVVV577339JbWrKws4uPjL6liKEkSaeZ0Pj/zy9T07eO48wiqUMlMzKTRfQxVqMRKcfQJb9BFT4IZcQp+FZwBCUcggIwgxmBCEkY8io8YycCcuHRMspEAAcyyiZvi5nFD6nWkW8bXGmswGPTXHNrmcvToUfx+P+np6fpc7tC25+EIBAL6btfS0tJRzfdMFUIITpw4oQtS7f0WmsTweDz6jc1496H61MBA8sCIKlRGVKQEv5UV62dVSiHV3WcHppXOzSMLwCBLTDOn4RUB7spaxD3ZpVi7z9Ls7iHJFMu16bPJiQ1fZdpkMg3KvGtB68SJExw8eJC0tDRdpGqzKQ6Hg3379jFr1qxxCdKf/exnPPXUU7z++ussXbo0bK8lXBQVFfGxj32Mp59+GoCdO3dSXV09xUcVJUpkoxkbjsXQaLyxXrvZTklJweEIVjHj4+M5dOjQoLiXkpJyyS2tJtnE52ZuojrpEDW9h+hXnEy3ZFPvbKY34CDBEBtsuRwwPYoxGDBJJnyKSn8gQEBImCQDFtmEW/EhIzEzLo0YQwx+VcUkG5kZm8ntmYUsTpo1rmMc2g0znAmgdk5GM64hhKChoYHTp09fdAY4EtDmiBctWqS/3yZiH2qH14FhwEl3OKPCUGJlMytSphNnkvGqEpIQhHplyRJkWhIxyBIzYlP44dIyTjrsHO1vwyDJrEiZwaLE7LC1H4/kbtzS0sLRo0dJTEzUz4k29qVVSA0Gw7DuxRfj7bff5uMf/zi/+tWv+NSnPhUxbd8a0Vg/sUSMKNXQKqWaaYHBYOC66667YNbuUpZkA5w+ffq8mZKhLa0xMTH6BfpSeuxjDXFcn3oz16ferH/tqOMg/+jeTV+gF4OkYpHNBISKX/VjliUMJhWjHCCgWoiREhE+laWWeXx8/joyLWnIUnCNCIBRDt8/6dA2F4fDoWeZDx06pJtJjDQY7/P5qKmpwWg0htUGfiIQQnDkyBE6OzspKSkZsQIaExMzYtCSJEk307pQVTlGNpETk0K9w066OR6zJOGRhFb+HiQ6Z8bJxJpcyMgYJRMqfvwhcU2WwCwbSTMn0u7roz/gIc0Sx5ppC8J6fkYiNGgtXLhQD1ptbW0cO3aMhIQEkpOTaWtrY+bMmee5tl4MIQS//vWv+dWvfsXOnTtZuXLlBL2SSyfU6OCydOPTnidKlEnCaDTi9/s5dOgQ7e3tlJaWXtTQaDyCVKOnp4fa2lqmTZvGggULkGVZb2nVTO2EEHp17FL2WsuSTGnKckpTlutfa/HYeaHtDVo8dvxqgFiDGa8SQBUqQlIxGSRiECiqRJwch9EvMUtK4xPz17AiLR+DJKMIlYCqYJaNYb1hD3Wu1UwA7XY7J06cID4+Xr//Gc5zQgjB0aNH9X/D8fpwTBatra0cPnz4gmaLQ0d6tAS9tg9VG/vKyMi4YLJ9Tnw6H3Q1oYpgUcGvqCGp5XOXXItkJFaOpd3XT7zJhOJXBla+qPpjjbKBZHMMEhKOgIc4o5mitFkUpY0vMTEWhrob+3w+vc23sbERk8lEeno6PT09mM1mCgoKxvzZeffdd7n33nt58skn+dznPhdxglRjSmM9RNt3JxPtTfzuu++SmZnJ0qVLR21oNNYgpc0O2my28zJ7Q1tateqY1WoNe1Z1UcJy8uIWYPe2IkkyTe6zvN7xOt3+LtyKB0mSSDXFc5PlJnynBAvy5rNw9mDn1HCK0eGQJInExEQSExPJz8/X255tNhvHjh0jMTFxkFGS2+3GarWSmJg4oTbw4UBVVX1Zemlp6aid58a7D1WSJO6ZtpL/aniDLp+TRKMFv9+FMhB6ZIKOe+kxRpakGDDKRpJNwR2nCJUuvwO/UDFKBgySjIyMOtD4NTvu4u3aE4k2mzJnzhx8Ph8tLS3U19cjhKClpQWfzzfqVnAhBP/1X//Fk08+yY4dOyguLp6kV3H5IYngn3A8T5QoE40kSfoqmOPHjyPLMtddd90Fr72XmnzWhMiCBQsGraAKbWkVQtDT0zOoOyjUtf9SE6vTY7L459kfpdljx6v6cCt+/tayk9MuGx7VhwBiDSauT1nGrLYkkhKSuXZ58aBrpUGSMRgmNp7GxMQwc+ZMZs6cOWjGcO/evZhMpkGeE0II6urqcDqdlJaWTqqT/3jQ2osLCgpGvVVhaIJ+uH2oWiJjaEJ7zbQF7LafoNndS6IxFqfiH0hCnBOmJsnI/PhpOBQfSaZYMizxmCQD/X4PbjVYKTfLRv1nHAEvBSkzxzWKEy7MZrN+j6yqKh0dHRw9ehSfz4fH46Gurk6fVR5NK/i+ffv4yEc+wo9+9CO++MUvRqwgjQTCEe8jNdZHjCjV3oDt7e0AzJw5k3nz5o3Z0Gi0+P1+Dh48iMfjYdWqVRe8kBoMhkHiY6Ssanp6+rjFl1m2MCN2DgC5MbPIj8vnuPM4Hb520s3pZPVl0dLQSuGyZRExpxFqJuHz+fSqckNDA2azGZ/PR0ZGRsQLUkVROHDgAF6vl9LS0nHP0QzX5nKhOdTr0+YRUBVebK3B5ulFQcWjeBAITJKBZLORxckxeHBQlLiClcl5ZFpSsLu6yAjE02P0BY2PULFIFtq9feTGpnFdWuTMWvr9fpqampg1axZ5eXm6aNcClybah8s0CyH4/e9/zw9+8AO2bds24oqoKFGiXJ709/fjcrlISEhg1apVYzY0Gi2hbaUrV64kIyNjxMdKkjRIfGiu/Q0NDRw6dGiQKeK4Y4UkMzP2nMvv7Nhp7O87wRm3DYvBzCJ5Bu1HmsnNzb3gPdBkETpjqCiKbpR04MABIHjOjEbjRV2SI4FTp07R2Nh4Se3FF9qH2tDQoM+haqI9JzaZby1ew58b93K8z06KMZb+gJsAKgZJJkY2MSM2lZ6AhznxaVyTPoe93bN4y36MLGGm2yDjUf0oqANC1UuCycK66csvfrCThOZiHRcXx/XXX4/b7aa9vZ0zZ85w+PBhXbRr9z9D39O1tbWUlZXxne98h4ceemjK3/NRpo6IWQkjhODQoUM0NTURCAS4+eabRzTE0SqkiqKMK2OqtQbHxMSwYsWKcWc/Q7Oqdrtdz6pmZ2eHba+j5lrb2tpKYWHhJTkETgZasIqPj8ftduvObVorVCQJ1EAgQG1tLUIICgoKRjUjOx5C51CH7kONT0qky+cgVjZR23eCl2178KpOEkwCo2wiP242H5m2nnhjHLtOvM9f7W+jWCRUSeAKeBFIZJpTWZk8l/Lp15ATkzohr2GsuFwu9u3bR05Oznk3VkIIPdPc3t5OX18fSUlJZGRk4HA4WLp0Kc899xzf/OY3eemll7jlllum7oVEOJpFfOEnfhy2lTA1f/l2xNnER7myaG5upra2FrPZrCc3h2NoN9RIhkYjoSgKhw8fpqenh8LCwktqK9USjXa7nf7+fn1FVlZWVtj2OmpOsPPnzx9UzY1EPB4P+/bt0wsDWiJ6pFV7U4lmmNnc3ExxcfEF/UkuhUAgoBcthu5DTUtLozsQXP3W5XXwqxNvctbVg2Gg4yk3NpmHFtzMvMRMTraf5ccHX6LbGEA2GnAEvARUhQxLIgsTp1E+vYDitLHt954oFEWhtrYWVVUpLCw87743VLR3dXVhsVjIzMzE7XazePFiTpw4wd133803vvENHnvssaggvQDhjPeRGusjRpT6/X4++OADFi5cyAcffEBpaemwJyocMyX79+8nOztbnykJB0KIQbtQtWXE2dnZo25fGIqiKNTV1eFwOCgsLIxo11oAu91OXV0dCxYsYMaMGXpLq7YPLBAIDDJKmsoZU23e1WQyjWsYf7wMXeKtzaFq5gkBKcBxZwPOgItMczpz42YhSzJNTU00NDQwe9k8Top2+vwucmLSWJgwgziDhThj5BhIaYJ02rRpF3TQ1PB6vXR0dNDU1MSGDRswmUy4XC5++MMf8rWvfS2izbGmGi1IFd0XPlFq/WvkBaooVxZWq5W0tDRsNhtJSUnDzpqHxnpJksYcq7VdpwArV64M63VEqwTZ7XZ6enr0XaiXskakqamJ+vp6li9frq+ni1ScTic1NTWkpKSwZMkSJEkaJNodDseEiPbxEDrvWlxcHJY1L6NBm0PV3idD51CNZhOHeltpdvWSbI6lMHUGsQYTPT091NTUkDt3Fi1xAc66u0k2xVKQMpMkUyxJxpiIEW6KorB//34URRlWkA73eK3S/sUvfpHDhw+jKApr167lmWeeGXU79dVKOON9pMb6iBGlEAwiQgj27NnDypUrSU0dXPW51JmStrY2Dh8+zLx585g1a2IHw4fLql7IFGgooQG1oKAgLOtpJpKzZ89y/Phxlo3QXhwq2tvb23E6nYNaoSZTeHg8HqxWK/Hx8SxfvnzKqrehc6jaEu/h5lBPnTpFU1MTRUVFEXXxGA63282+ffvIyspiwYIFY/6MPvfcczz00EOsXr2aAwcO0NfXx5e+9CV+8pOfTNARX95ERWmUy5FAIKAnXS0WC/PnD/ZIuNTks8PhoKamhuTkZJYuXTqhSUdtfMVut9PZ2XlRU6ChhO7wLigoiPhuqL6+PqxWK9OnTx8x6aiJ9vb2drq7u8O6yWAsaOvo+vr6prS9eKTuoKFzqF1dXdTW1l4WlXJVVdm/fz9+v/+C+4RH4siRI9xxxx0sXLgQt9tNXV0dN910Ezt27Ij4+92p4moQpREzUxqKZhOvEc6ZksnKQsbHxzN37lzmzp2rX6A1UyAtq5qVlTVs9dPlclFTU0NCQgLLli2btCreeAg9t4WFheclEjQkSSIpKYmkpCTmzZunX6BbW1s5evRoWDLNo8HtdlNdXU1qaiqLFy+e0nbikezWtTnUpKQkDAYDfX19g1bURCqaIM3MzByXIH3xxRd5+OGHef7559mwYQNCCGpra/Ul1ZOB1Wpl165dAOzdu5dnnnkm4lcbAFH33SiXJUNjPVy6IO3s7OTAgQPMnDmT/Pz8CRdAZrOZ3NxccnNzCQQC+qjG3r17MZvNeqwfbmVYaDdUpO/whuC53b9/P3l5ecyZM2fEx8XGxup7rUNdWk+dOoXFYrngOQkX2kpBt9tNSUnJlHbcjGYONSEhgY6ODhYuXMiMGTOm7FhHgyZIfT7fuARpQ0MDZWVl/J//83/42c9+hizLnD59mnfffXfSBOllG+sh6r47WWiOfKELtUe7JHskQmdKpurGfugFWqugnjx58rysal9fHzU1NeTk5Izrxn4yCW2LGeu5DXVpDb1Aa7s/NYF6Ket3huJwOLBarWRlZbFw4cKIOrdDg5bH4+Hw4cN0dXUBcODAAf2cTGQgHy+hgnQ85/aVV17h85//PH/84x/ZsGEDEDwnhYWFE3G4I7Jr1y4eeeQRAJ588kluu+22y2IHWdR9N8rliMFgwOfzAZeefIags+rx48dZsmQJOTk5YT/ei2E0GvUdzoqi0NnZid1up6amBlmW9VifmpqqexpIknRJJnuTRVtbG4cOHRrzuQ11adXOSegatdCZy3Al4AOBgN5WWlJSElHzrTB4H6qiKLoBkyzLnDx5kt7e3jHvQ50sVFXVd88XFRWN+dw2NTWxdu1aysvLdUEK6PfIk8XlGuvhynbfjaj2Xb/fj6qqfPDBB0yfPp3c3NxLMjTy+Xzs378fVVUpKCiIuNk0zWpdG4rXdrbNnDkz4gWpqqocPHgQh8MR1rYYbeZSOyfa+p3MzExSU1PHXdns7e2lpqZG35UZyedWCMGJEydoa2ujuLgYi8VywTnUqQ5amuFFeno6ixYtGvO53blzJ5/85Cd55plnuO+++yboKC+O1Wrltttu0yuzDQ0N5OfnU19fP+b9qpOF1s5T/LHwte9W/2/ktfREubJQFIVAIEBDQwP9/f2sWLHikgyNQg0Bhxv9mWpUVaW7u1tPSKuqihCChISEy2I8R9vlvmLFigu6F4+F0PGVUKNIzZF9vELS7/frO+5XrlwZ0fvR4Zw55NKlS8nKyhp2DlUT7lN9D6vd97ndboqLi8f8b9Tc3Mwdd9zBHXfcwe9+97sp61S7HGM9hDfeR2qsj8hPq9Fo1GdOLmWmpLa2lqSkpAmfKRkvoVbrjY2N1NfXk5KSQktLC21tbYOyqpHkWuv3+/UsZLgzvEN3f2qBvK6uDlVV9YtzRkbGqP9Nu7q69JajkVweIwUhBMeOHdOrz1o713D7ULUl3iPtQ50MNEGalpY2LkG6Z88ePvnJT/Lb3/6Wj3/84xN0lKOjqKiIZ555Rv97T08PAGlpaVN0RGMg2r4b5TJEa9+9lPVugUBAv1FetWpVRLbAyrJMeno66enpTJs2jZqaGuLj4/H5fLz99tuDdqFGUlVvqGttOOddh46vOBwO7HY7jY2N+vodLa6N1ijJ6/VitVqJjY1l+fLlEXnfF4rNZqOuro5ly5aRnZ0NoK8kmj9/vj7S09LSoo85XWi1ykRyqYK0ra2Ne+65h1tuuYXf/va3U3pPe1nHeoi2704W2gdMlmXcbjeKomAwGCJ+puRS0KpiLS0tFBcXk5KSMqIY03ahTuWF1uv1UlNTg9lsprCwcEKPJTSQL1q0iL6+Pux2O/X19dTV1Y1qZ1x7ezsHDx5k4cKF5ObmTtixhgMhBEeOHKGzs5OSkpJhq88Xm0Mdug91IvF4PIPmc8f6OXvnnXf42Mc+xi9/+Us+/elPR8TndNOmTfp//+///i9r1qy5bOZMIrUdJ0qUkTAYDHi9Xvx+PyaTaVzr3bTVMqWlpREl6IZDi+ma2aIQYlgxpiWkp7KCqqoqR44coauri9LS0gmNJ5IkkZiYSGJiIvn5+bhcLtrb22lra9N9OIaaAg1F84vQHIEjKZE/HK2trRw+fJgVK1YM63My1n2oExk/VVWlrq4Ol8s1LkFqt9tZu3Ytq1at4plnnomIZMHlHOvhyo33Ede+GwgEaG5u5tixY3rrplYtHM2H7uzZsxw7dozFixczffr0STjq8aMoyiBnuOEyvEIIent79bYfbRfYVKxVcblcWK3WiLjoa+7GmpNdcnKy/l7RxJw2AxOahYxUhBAcPnyY7u5uSkpKxmWhr+1D1faBxcTETNgcqtfrZd++fYNWAoyF9957j40bN/Lv//7vfOlLX4oIQRpKT08PxcXF+k1OpKK383z0xxhNl96+G/B7qH4+8lp6olxZqKqKz+ejr6+P2traccW13t5eamtryczMZNGiRREvQrQW2JEc6iEYY7VYr322s7OzyczMnFTnWEVROHDgAB6Ph8LCwild6RLqbhwa17KysnTPCafTSXV1dUT6RQyHVvkcbzt06Gxue3s7cG4fargLF5ogdTqdFBcXjzlR0tHRwdq1a1m0aBF/+ctfIi5xdLnEeghvvI/UWB9RovTPf/4zN954o/4h7enpwWazYbfb9YH47OzsYdtZI32mZCh+v5/a2lqEEKOeKQnNqtrtdpxOp773c6JbN0MNmEaze3Iy8Xg8g5Yzx8fHExMTQ1dX14hZyEgi1La+uLg4LDcAQ/ehQviCltfrpbq6Wm+NH+t7obq6mvXr1/P444/z1a9+NaLeSxoPPvggjz76aETPl0BIkLr3R+ETpZu/E3GBKsqVxY4dO8jMzGT+/PnIsozT6dRjvdvtJj09Xd/xPdxNrM1m49ChQ+Tn5zNr1qyIvIZohN6bFBYWjroFVotrdrud7u5uEhMTB61VmSi0exMIrqOLJBERGtfa29sxGAwkJyfT2dnJzJkzmTdvXkS/FwC96FJQUBCWdlEhxKDZ3HDOoQohqKuro7+/n5KSkjHfY3Z3d7Nu3Tpmz57N888/H5Gz05dLrIfwxvtIjfURI0odDge33XYbVquV66+/nrKyMjZs2EBOTo7+obPb7dhsNoQQg9pZtV53l8tFYWFhRM6UhOJ2u7FarZe88kVr3dSyqikpKXrQCmdmc7Q28JGA3+/n6NGj2Gw2JEnSLfm1FpdIy6ZrWUiHw6GbGk3E7xjNPtTR4PP52LdvH4mJiSxbtmzMNwD79+9n7dq1fOtb3+Kb3/xmRN5APPnkk2zatIm8vDx91iRSM6hakCrZFD5Ruq8i8gJVlCuLL37xi/zP//wPeXl5bNiwgY0bN7J06VJkWdYTrzab7bzEq8lkorGxkVOnTl2w4hgphK58uZR7E22tis1mo6uri9jYWD3WJyYmhu06qu3wjouLi/iZTFVVOXPmDCdOnNCPM9QoKRINjrTjvdD6vEvhQvtQxzqHKoQYlCwf671Jb28v69evJzs7m6qqqik3aRqOyynWQ3jjfaTG+ogRpRD8EDQ1NVFZWckLL7zAe++9x6pVqygrK6OsrExfJtzb26tnVf1+P5IkERMTM+VtJqNBaznKzs4Oa5vJRGVVtRbYy6EdWghBfX09Z8+epaioiPj4eLq6uvQLtJbMiBTXWs1aXTMOmIwsYmjQstvt9Pf3j3pHrM/no7q6mvj4eJYtWzZmgX/o0CHuvvtuHn74Yb797W9HpCCtqKggJSWFNWvW0NPTw/PPP88DDzww1Yc1IlFRGuVypbe3l5deeonKykpeffVVpk+fTllZGRs3bqSgoABZlnG5XHqs7+/vx2QyoaoqK1asID09fapfwgXx+XyDKo7hur5r1UKbzUZHRwcmk0mP9ZcyW+hwOKipqdE9HCItgTuUjo4ODhw4wIIFC8jNzaWvr0+Pay6Xa1DiNRIEUVNTEw0NDRQWFk6a8AmdQ9Van0czh6qNE2mrFMd6/vr7+ykvLycxMZEXX3wxIu/LL7dYD1FROqUIIWhubqaqqoqqqir+/ve/U1BQQHl5OWVlZcydO5e33nqLw4cPU1BQgKIoUzpvORo00538/PwJdYEdOoMx3qzqRNjATxSaa63dbqeoqIiEhITzvh86m+v1evWsqpaBn0y0mZ3x7voKFyMFraGLzS9VkB49epS7776bBx54gB/84AcRKUg1W/hQUlJSdNv4SEQPUh8JoyitjLxAFeXKpr+/n1deeYXKykq2b99Oeno6GzZsoLy8nNLSUtrb23n22We58cYbsVgs9Pf36/OW4e4MCgcul4uamppL7oa6GIqi0NXVpfsraGNOWVlZpKWljfo63dPTQ21tLTNmzIh4c0g451o70s7UoV1kmgFgVlbWlHTSadX9oqKisDoYj4XRzqGGCtLxjBM5nU4+8pGPYDAYePnllyfccHE8XI6xHsIb7yM11kesKA1FCIHNZmPLli1UVlby5ptvMn36dJqbm3nggQf46U9/iiRJOByOMc2lTCZa28bSpUsn1XQnEAgM2oU6mqxqaMWxoKAgotsZIFhxDL2IXswQQqsWagLV4XDorc+TYSihKAr79+8nEAhQWFg45e9NjZHmUNPS0mhsbNRbusYqSE+cOMHdd9/Npz71KX7yk59EfAb+ckILUqUbwydK974QeYEqytWDy+Vix44dVFVV8fLLL2OxWHA6nSxYsIDXX38di8WidwbZbDZ6enr0bo/s7OxJNQQaDm0ndk5OzqTuG9fGNLS4pijKoCT9SMJYS5ZrjsCRjjaTuXz58lH5RWiJVy1JHx8frwvUcLY+j0RDQwOnT5+mqKgoYq6poXOo7e3teDwefQ61u7ub3t7ecRkuut1uNm3ahN/vZ/v27SQmJk7QK7g6CWe8j9RYf1mI0lBUVeXf/u3f+OlPf8rixYs5fPgw8+fPp6ysjPLychYvXnzRuZTJHLYO3fM11QJvNFnVUBv4wsLC8yqOkYY2T6w5w42nTcftdusX5+7ubhISEga1PoczaCmKQk1NDUIICgsLI66ar6GqKr29vbS1tdHc3IwQQr/BGctn6NSpU9x111185CMf4T/+4z+igjTMREVplCuZV199lU2bNjFr1ixaW1sxm82sX7+e8vJybrzxRkwmEz6fTxdiXV1dJCQk6BXUya7SaCtfJrob6mIIIfQVana7HY/Hc95sLgRdYI8cOcLSpUuZNm3alB3vaNG6t8ZrEjRckl67Bwq354SW3G9ubqaoqChiBVroSM/p06fx+XwkJibqrs+jvQfyeDx8/OMfp6+vj1dffXXKKsJXMlFRGoH85je/4YknnuCll16isLCQ3t5eXnzxRaqqqnj11VeZNWuWbpywYsWKYedSUlNTddExkbMGmqtqb28vhYWFEdXGMFxWNT09HbfbTSAQCJsL7ESiKAq1tbV6xTEcyQa/368L1I6ODiwWyyCjpEsRqIFAgJqaGiRJmvAdr+HA7/dTXV2NxWIhPz9fr6Jq5gkXm0M9ffo0d955J2vXruU3v/lNVJBOAHqQKg+jKN0SeYEqytVHXV0d11xzDb/5zW/47Gc/i9/vZ/fu3VRUVLB161YURWHdunWUl5dzyy23YDab9eu3zWajs7OT+Ph4vYIa7gTjUKaqG+piDNcZpCWhu7q6WLlyZcTP5wohaGho4MyZM2NyML4QqqrqnhN2u13fB68ZJV1KfNb2z7e2tlJcXBzxyX0hBEePHqWzs5Ply5fT398/pjlUr9fLpz71KWw2Gzt37oz47ReXK+GM95Ea6y87Udrf309fXx+5ubnnfa+vr49t27ZRVVXF9u3bycrK0gVqcXExsizjdrv1i3Nvb++EzaX4/X7279+PoihhE0wThRCCrq4uDh06hN/vBxjU9hMp7aWh+P1+ampqkGWZgoKCCak4Dp3B0CrLWkvrWIKWdrxGo5GVK1deFoLUarViNptZuXLlIEE5mjnUlpYW7rjjDm677TaeeuqpqCCdILQgtaosfKL0g62RF6iiXH1oPgGLFi0673uBQIC3336bzZs3s3XrVlwuF/fccw9lZWWsWbOGmJgYAoGALjg6OjqIiYnRY3042zY1AdLS0jLl3VCjweVy6eMuQohBrv1T3fo8HNpKnba2tgkTeJrnhPZ+0SrL43Go147XZrNRXFwcUcWI4dA+Z+3t7ZSUlAx6Dww3h6rdG2pzqH6/n3/6p3+isbGRN954I+ITHJcz4Yz3kRrrLztROlqcTifbt2+nqqqKbdu2kZycrBsnXHPNNRgMhgmbS3G73dTU1FwWtuoQbLuoqakhJiaG5cuX4/F4zsuqalWxSHCx00x3YmJiWLFixaScX62dVTsvfr9/kP38hYR7aMVxso73UggEAlitVkwm03mCdLjHhgathx9+mLlz53Lw4EFWr17Nn/70p4h/vZczUVEa5WpHURT+8Y9/UFFRwZYtW+ju7uauu+6ivLyc22+/nfj4eBRF0VeqdHR06KvCsrOzSUpKGrdAVRRFX5sRad1QwxHqv1BUVITBYBg0bzmRoyvjQTPd6e7upqioaNJMihwOxyCH+pSUFD3xeqF7Q63i2NHRcZ7Ai0Q0AW232y96vEPnUH/5y1/S3d2Ny+XC7Xbz9ttvR/yKpsudqCi9QnC73ezcuZPKykpeeuklYmJiWL9+PRs3buT666/HaDSGbS6lr6+PmpqasK98mSicTidWq5W0tDR9HjcUl8ulz6BqleWpzKpqO16TkpL0vXaTjRBCn1m22+04nU69JTwzM3NQxV0T0LGxsXo7eSSjCdLxVHQVRWHz5s18/etfJxAIoCgKt99+Ox/+8If5zGc+M3EHfRWjB6kNPwyfKH3xuxEXqKJEGQ2qqvLBBx/oArW1tZU77riD8vJy7rrrLhITE/XqjxbXjEbjuFaq+P1+amtrEUKEdeXLRKEZ7Pl8PgoLC89LMA8dXYmJidHPy6UI9/ESusO7qKhoysaJhq7b01rCs7KySEhI0M9LqIAejeHiVKNV+Nva2igpKRmT4BdCUFtby/3338+pU6fw+/2UlpayYcMGvvjFL0bbdyeIcMb7SI31V4UoDcXn8/H6669TWVnJ1q1bkSRJn0u5+eabL2kuRXOxy8vLY/bs2REvSDWXwNHawHu9Xl2ITbQh0HBoAjojI4NFixZFzPnVWsLb29vp6enRd8SmpKRw5MgRfS3A5SBIQ1uix1rh7OzsZO3atcyfP5+//vWvnDx5khdffJHTp0/z29/+doKO+nysViv3338/1dXVk/Y7pwotSF2zPnyi9P2XIi9QRYkyVlRVpaamhsrKSqqqqmhqamLNmjWUlZVxzz33kJycrI+u2Gw2fURDi/UXMr7RkqPx8fGXRTeUz+ejpqYGg8EwqnEXrbKstT4bDIZBwn2iY1mogC4qKooYwe/3++no6NCFu7bNICMjg5aWFvr6+i4LPw7NgLO1tXXMghSC/z4PPfQQf//739mzZw9Go5GXX36Zl156iT/+8Y+TZnJ0NcV6CG+8j9RYf9WJ0lACgQBvvvmmPpfi9XpZt24dZWVlrF69GovFMuq5lLNnz3Ls2LHLxsVOWzw9Xht4Tbjb7XY6OzsnPKva39+P1Wpl+vTpzJs3L2IE6VC0HbFtbW10dXVhMBiYMWPGeXs/Iw1FUbBareMWpN3d3axfv54ZM2ZQUVExZTcRFRUV5OXlUVxczNVwaYuK0ihRLo4Qgrq6OioqKqiqquL48ePceuutlJWVsW7dOtLS0hBC0N3drSdehRB6TAvd+dnb20ttbe1l0w2lCejx7kzVDIG0xKsQQm9lTU9PD7tA1SrQQEQ71IduM2htbUUIQXZ2NtOmTRu09zPS0ARpS0sLJSUlY245V1WVr33ta7z++uvs3r17ylymr7ZYD1FRelWhKArvvPMOlZWVvPDCC/T39+tzKWvWrCEuLm7EuRSt9bewsPCyaFtobW3l8OHDYRPQQ7OqRqNRD1qpqamXHLR7enqoqalhzpw5zJ0795KPd6LxeDzs27dPb3XWWqJkWdZbfMey2Hyi0dbUAONyBe7r62PDhg2kp6ezZcuWiJg7liTpqghUepBaF0ZR+nLkBaooUcKFZuyiVVAPHDjATTfdRHl5OevXr9fn4np6enTXfkVR9NGMpqYmPZkb6YLU4XBgtVrJzMwMS3eRNlc41FtBqxZeqoD0+XxYrdbLxn8hdCXd/Pnz9aSG1+vVPSdCV/BMNaFrasYrSL/1rW/x4osvsmfPHvLy8iboSEfP1RLrIbzxPlJjfVSUDoOqqrz33nu6QG1vb9fnUu68804SEhJQFIWWlhZOnDiBoiiYzWamTZs25rmUyaaxsZGGhoYJs4EPzara7XaAS8qqdnZ2sn//fubPn8/MmTPDfrzhxu12s2/fPtLT01m8eLH+PhhpBU+4gvl40dbqaHtTx3oT4HA4KC8vJy4ujpdeeili5miulkClBalr14ZPlL63LfICVZQoE4G2aqSiooIXXniBffv2cf3111NWVsaGDRuYPn06EKyOHjx4EI/HgyzLZGZmkp2dfcmrQyaS7u5uamtrmT17NnPnzg37PYkQgv7+fj2mud1u0tLS9PMy1m4Zj8czqKIbKUnbkVBVlf379+P1ege1GA+3gic1NVW/D5rK1t76+nrOnj07LhdjVVX57ne/y/PPP8/u3btZsGDBBB3l2LhaYj2EN96PNdaPpVX6Utqqo6L0IqiqSnV1tZ5VPXv2LGvWrOG2227j2WefpbCwkJ///Oc4nc7z5lK0SmEkXFxDbevDtedrNL9zaFY1VKBeTIjZ7XYOHjzIkiVLyMnJmfDjvVRcLhfV1dVkZmZesK0rNJi3t7fjdDqnxOFYE6Sqqo6rTcrpdPKRj3wESZLYtm1bRO1iu1oCVVSURokSHoQQnD59mqqqKqqqqnj33XcpLS1l/fr11NbWUldXx6uvvorJZMJut2Oz2fB4PHqlMDMzM2JaTe12O3V1dSxYsIAZM2ZMyu8MFWKh++CHmv8NhxY7hyZzIxVt5tXv91NUVHTBSqjb7da7pabCi0OjoaGB06dPU1JSMuZYLYTghz/8If/zP//DG2+8wZIlSyboKMfO1RLrYepE6VhapS+1rToqSseA1qrx+9//nqeffhqfz8dtt93Gpk2bWLt2LampqcPOpWhZ1alq2Qy1gZ8q2/rhsqpapXC49paWlhaOHj3KsmXLLgubcafTyb59+8jJyWH+/PljCjROp1MPWtoFQjsvE/VvpQVVbY/uWG+m3G43H/3oR/F4POzYsYPExMQJOc7xcrUEKj1I3fOD8InSV74XFaVRrmqEELS0tPD888/zk5/8BLvdzuLFi/nEJz5BWVmZ3raoJaPtdjsul0uvFE5ly+bZs2c5fvz4lMZOTYjZ7fZB6/aysrLOM9XR/CLGEzungktJ5vp8vkFGSRaLRT8vE+k5cerUKZqamsYtSH/605/yu9/9jjfeeIPly5dPyDGOl6sl1kN44/14Yv1YzvV4/12ionSM1NTUsHbtWjZs2MCXvvQltmzZwgsvvMChQ4f40Ic+RFlZGevXrycjIwNArxTabDZ9LiV08fBEo4kPrcUkEub94NweMJvNpre3aELMbrdz8uTJCWsxDjcOh4Pq6mpyc3NH5WJ8Ibxery5QOzs7iYuL089LuAykVFWltraWQCBAUVHRmAWp1+vlvvvuo7u7m9dee23SnPbGwtUSqLQgdd3d4ROl726PitIoUbq7u9m4cSMul4tnn32Wv//971RWVrJnzx4WL15MeXk5ZWVleleMVinUYprW/ZKVlTUpxm9CCF18FBQURIy/xdB1e6ErVTQ/g4lqMQ43mkO9JEmjcjG+ENpqIi3eS5Kkz6CmpaWF7f5Qe08UFxePOXkshOCXv/wlP//5z9m1axdFRUVhOaZwcrXEeghvvB9PrI+K0gjklVde4eDBgzzyyCOD9lOdPHlSn0upqanhhhtu0OdSNDOhvr4+Pavq8/nIyMiY0LkUn89HbW0tsiyzcuXKiBm2H4qWVbXZbPT09AAwY8YMZs+ePWnLssdLf38/1dXVzJw5k7y8vLAG1UAgoO/TC7Xlz8zMHHdbuDYHo1ntj/U94fP5+PSnP01zczO7du0iLS1tzMcwGVwtgSoqSqNEmRjOnj3LD37wA37xi1/oHSvaCpmtW7dSWVnJ66+/Tn5+Phs2bGDjxo0sWbIEWZZxu916rO/r6yMlJUWvoE7ETKFm3mSz2SgqKoq4zhUNbaWKFtNUVSU1NZV58+ZFtDs9BI89dK1OOO/ZNM8JrbqsGUhlZmaSkZEx7nu3xsZGGhsbxy1I//M//5MnnniCV199lVWrVo3rGCaaqyXWw8SI0jNnzgyK9RaLZcTiVVSUXoYIIWhqatJnUN9//32uueYaysrKKCsr0+c7tFbWiZpLcbvd1NTUEB8fPy4b+MkmdOZ1xowZ9PX1nZdVDV1UHQn09vZitVonxRVYVdVBbeGqqupZ1dEmNS5VkPr9fj7zmc9QX1/PG2+8oXcDRCKSJNHd3U1KSspUH8qEogepu8IoSndERWmUKKOhp6eHl156iaqqKl599VVyc3MpLy+nvLyclStXIssyHo9Hj/W9vb26K3tWVlZYjOFUVaWuro7+/n6KiooixmzuQmh+Ebm5ufraPc2dPpK8ODT8fj9WqxWTycTKlSsn9H5KCIHD4dBjveY5ocX70SY1mpqaaGhooLi4eMzXciEEzzzzDN///vfZvn07119//XheyqRwtcR6CG+812L9UL7//e/z+OOPD/szUVF6mSOEoLm5maqqKiorK/n73/9OUVGR3vYzZ84cYPBcitPpJD09/ZLmUsJtAz/RCCE4cuQInZ2dFBUV6VnpoVnVyZq/GA3ampq8vLxJ39MlhKCvr083StJcD7WkxnCtYqqqcuDAATweD8XFxWN+XwUCAe6//34OHjzInj17InbOd9euXezcuZMnn3ySRx55hNLSUjZt2jTVhzVhaEHq+jvDJ0r/8eroRKnmWpqXl0dDQwMPPPDAqG4MHn30UR577DH9sVarFYCioiIaGhro6emJyDaxKFEuRH9/P9u2baOqqort27eTkZGhV1BLSkqQZRmv16uLje7ubhITE/W95+PpCgoEAuzfv59AIEBhYeGU7YceC9pKumXLlpGdnQ2MnHSdzFGnkdDW1MTExLBixYpJF8sul0uvoGrXZe3cjOQ5cfr0aerr68ctSP/4xz/yrW99i5dffpmbb745HC8j7FxtsR7CG++1WB+tlF6lCCFoa2tjy5YtVFZW8uabb7Js2TJdoGoD/pc6l6LZwM+aNSvs7aQTQWiWt7i4eMQsoDZ/oQkxrZVVW8EzmYFCO8fz5s2LiDU12numvb1dv2iFZuI1gy632z0uQaooCv/8z//M3r172bNnz2XhhHy1MJWitLi4WLd8b2ho4NFHH2Xz5s0X/Bmr1UpxcfGgzPaDDz7I008/DcCaNWvYvHnzVZH1jnLl4nK52LFjB5WVlWzbto3ExEQ2bNhAeXk51157LQaDAZ/Pp4+tdHV1DXJlHY0ZjdfrpaamBrPZzIoVKyLG+fdCnDlzhhMnTlzQL0IIQW9vry5QfT7fIFPEyXydPp+P6upq4uLiWL58+ZRXb7X3jDafGxsbqwtUzXNCE6RFRUVj9nsQQvDcc8/xjW98g61bt7J69eoJeiVRxsNEiNLoTGkUhBB0dnaydetWKioqeOONN1iwYAFlZWWUl5frluhjnUtpb2/n4MGDl81OT0VROHDgwHl7vi7G0Kyq5nCclZUVVoOA4ejq6qK2tnZSrfbHgsfj0Y0TtPZnIQSqqlJaWjpmoytVVXnooYd4++232b1792Xxvrqa0IPU7f8WPlG68/sXDVQNDQ3ce++9g/aQpaam0t3dfcHnr6io4NFHH6W6uloXnk8//TQf/ehHAaJiNMoVh8fjYefOnVRWVvLiiy9isVhYv3495eXl3HDDDZhMJvx+vy42Ojs7iY2NJSsri+zs7GHHVlwuF1arleTkZJYuXTrlYmk0nDp1isbGRgoLC0f9OR+ulTVUoE5kZdjr9VJdXU1iYmJEnmPNc0KL9waDgdjYWPr6+igqKhqz0ZUQgs2bN/OVr3yFiooK7rrrrgk68ijjJZzxfrSxPpThWqWtVispKSm6I/mFHjsaIj+1dgUiSRIZGRl8/vOf53Of+xw9PT28+OKLVFVV8fOf/5zZs2frbT/Lly9nzpw5+lxKW1sbx44dO68a1tzczLFjx1i6dKneEhPJBAIBamtrEUKMuXonyzLp6emkp6ezaNEiPat67Ngx3UAqKyuLjIyMsGZVOzs72b9/P4sWLdKXqkcaMTExzJw5k5kzZ+L1eqmtrcXlciGE4IMPPtCD+Wiqy6qq8o1vfIPdu3ezZ8+eqCCNZMTAn3A8zygYzuQqLS0Nq9U6YuttRUUFmzZt4tFHHz3ve1ExGuVKJSYmhvXr17N+/Xp8Ph+7d++moqKCz3zmMwghWLt2LRs3buRDH/oQ06dPJxAI6GMrH3zwARaLRW/xTUpK0sdzpk2bxoIFCyK+G0ozgmxubqakpGRMhjuSJJGYmEhiYiL5+fn6+rTm5maOHDlCSkqKfh8UTgMpj8dDdXW1Lvoj8RwbjUays7PJzs5GVVVOnDjBmTNnMBqN1NbW6vdBo9kJD7Blyxa+/OUv87e//S0qSCOdcMT7Mfy81ioN8MQTTwxqldb+/sgjj1z0saMhWimNMPr6+nj55Zepqqpix44dZGdn6wK1qKho2LkUs9mM3+9n8eLFESuWQvH5fNTU1ITdNGAis6paFXrx4sWXRfuqEEJviy4pKcFgMNDV1aVnVbXqcmZm5rAzO6qq8thjj7FlyxZ2797NvHnzpuiVRLkQeuZ0TRgrpbu+f9E5kyeffJKdO3fqwQcgPz+fp556ijVr1pz3vD09Pezbt481a9aQn58/qFL65JNP6lnWvXv38uCDD56XdY0S5UojEAjw1ltvsXnzZrZu3Yrb7Wbt2rWUl5ezevVqYmJi9LEVm82mV8P8fj/Tp09n0aJFEVe9G4oQgqNHj9LR0THILyIcaF1BofO5mkC9lN/jdruprq4mLS1N71qLdLTdtFoVuq+vTz83LpeL9PR0Pd4P1y318ssv89nPfpY///nPfPjDH56CVxBlNIQz3muxPtJMDaOV0ggjKSmJT3ziE3ziE5/A6XSyfft2KisrWbduHampqfpcyqpVq5g+fTq//OUvKSgoICkpicOHD9PU1KRnVce6JHky8Hg8WK1W4uPjwz6jMVxW1W63c/bs2UvKqmpOgaHGDJGMEIJDhw7pc7qaGNeCUujMzvHjx/F6vWRkZJCUlERcXByZmZl8//vfp7KyMipILxMkQApDelG7/RpaFb+QI18o2kqnoTz//PM88MADw34v1CApLy+P22+/nfr6+lEecZQolydGo5HVq1ezevVqfvOb3+h7UL/+9a/T29vLXXfdRXl5ObfffjtZWVn85S9/ITY2ltzcXGw2Gx0dHYPcaiNNPKmqyqFDh+jr66OkpCTsrsChXUGhs5YNDQ16+3NWVhaJiYmjPjcul4vq6moyMzP1/bORTnNzsy5ItZbd5ORkkpOTmTdvnl5dbmlp4ejRoyQnJ5OZmYmqquTl5fHqq6/y2c9+lmeffTYqSC8TwhHvI/WdHRWlEUx8fDybNm1i06ZNuN1uXnvtNSorK7n33nuJiYnBZDLhcrnYs2cPc+fO1d1qbTYbp06duuhcymSjzcGkpqayePHiCc/yxsfHM3fuXObOnau3P2tCbLRZVZvNRl1dHcuXL49Yx9lQNEHa19dHcXHxsFlRSZJISUkhJSWF+fPn6+J927Zt/Ou//itZWVn09/dTVVXFwoULp+BVRBkzQgT/hON5YNhKaSgpKSl0dXUN+lpXV9ewbbi7du3SZ0aHo6GhQW/51Zx8GxoaotXSKFcNBoOBm2++mZtvvplf/OIXvP/++1RWVvKd73yH+++/nzlz5nD8+HGefvppVq1apfsq2Gw2Dhw4gCRJZGZmkp2dHRHrVBRF0c31SkpKxuxlMFbMZjO5ubn6ihmt/Xnfvn2YTKZBpogj3Qc5nU6qq6vJzs6+LNqiAVpaWjh27BgFBQUjzpDGx8cTHx/PnDlz8Hq9tLe3c/r0adavX09ycjKdnZ1897vf5d57753ko48ybsIR7yO0STai23etViu7du0Cgm1dzzzzTHT2iOBs45o1azhz5gyqqmI0GnXjhJtvvhmTyTTowtze3n7eXMpkX3AdDgfV1dURMQcTmlXt7OwkLi5u2Kxqa2srR44cYfny5WRmZk7Z8Y4WIQSHDx+mp6dnXDcCQgi+9a1v8eyzz7Js2TKsVisrVqzg0UcfvaCoiDJ1aO08N9z2OEZjGNp3Ax7+/vrj4zY6OnXq1HnX6F27dtHQ0KD//cEHH+SRRx7hYx/7GAC33XabbpDU09OjGyZFr/VXD9FYPzyKovDFL36R//f//h/p6el67C8vL+eee+7RP6Oa8Z/NZkNVVT2epaenT7pA1fwiVFWlsLBwXGvtwoWiKHR1den3QZp410wRtXOj3Z9Mnz6defPmXRaCVLs/KSgoOG++fzRs27aNT3/606xcuZIjR46QnJzMpz71KZ544okJONoo4SCc8X60sX6yiehK6a5du/Th2SeffJLbbrtt0E3Q1YiiKKxdu5aMjAzeeustYmJiePPNN6moqOD+++/H7/ezbt06ysrKuPXWW5k2bdqguZTq6mo9c5idnT0p+z57e3upqalh5syZEbGmZjRZVVmWOX36NAUFBSNa10cS2q7X7u7ucQvSX//61zz33HO89dZbFBcX09XVxbZt2yb99Y93/+XVjCTC1L47yucYWsVsaGigpKRk0O5RzZFv6Izpgw8+qM+N9vT08NOf/lT/3q5du9i0aVP03/sqIxrrh+d73/seO3bsoLq6msWLF1NXV8fmzZv55S9/yZe+9CVWr15NWVkZa9euZeHChSxcuJDe3l5sNhtHjx4lEAiQkZFBdnb2pOz79Pv91NTUYDAYKCoqmvI1NQaDQR9bUVWVnp4e7HY7hw8fRlEUMjMzSUxMpKGh4bJZowfnBOnKlSvHJUjfffddPv/5z/OLX/yCL37xi/h8Pvbs2cPp06cn4GhHJhrrx0c44n047hcmgoitlFqt1kEZ9IaGBvLz86mvr7/q27reeOMNbrzxxvOMexRF4e2336ayspIXXngBh8PB3XffTXl5OWvWrNF3Vmr7Pu12+6B9nxMxl9LV1cX+/fvJy8tj9uzZYX3ucKNlVU+dOkVvby9Go5Fp06bp52aqW6JGQhOkXV1dlJSUjNmFUAjB7373O370ox/x6quvcs0110zQkY6O8ey/vFrRMqc33hq+Suk7u0eXPW1oaOCpp56itLSUvXv38thjj+k3FPfee+8gRz4IVkGffvppHn30UR544AEefPBBioqK9CpZSkoK9fX1g0RqlCufaKwfmUOHDpGUlHTejLdmIFRRUcELL7xAXV0dN998M2VlZaxfv17v7Onr69MrqF6vV68ShtuZHoIrVKxWK7GxsSxfvnzCBfClIISgr6+PM2fO0NraOqiCmpGRMaXV3YvR1tbG4cOHL7jr9ULs3buXsrIyfvCDH/DQQw9NqQiPxvqxEc54P5ZYP5lErCiFcysEYPil61FGRlEU3nvvPV2gdnR0cOedd1JeXs6dd95JfHz8oLkUu90OoFdQwyHCNMfahQsXkpubG46XNeFoi6dXrlwJoIt3LauqtURFSsDVbk46OzspLi4es5mEEILf//73fPe73+WVV17hhhtumKAjHR3j3X95tTKVojRKlHARjfXjRwhBfX29LlCtVivXX389ZWVlbNiwQXeLdzgceqx3u92DnOkvVYRpjrUpKSksWbIkYhO4ofT29mK1WpkzZw6ZmZl6rHc4HKSlpennZqLnYceC5nGxcuVKMjIyxvzzNTU1rFu3jm9/+9t84xvfmFJBGo31YycqSiOIRx99FKvVOmgFQZTRoaoq1dXVetBqbm7W51LuvvtukpKSEELocymaCLuUuZS2tjYOHTp02TjWAjQ2NnLq1CmKiopITk7Wv65lVUMzzqG7UKcqqyqE4NixY7S3t4/L3VAIwZ/+9CceeeQRXnrpJW655ZaJOdAx8PTTT7N58+bzVo1s3rx5xP2XVzNakLrplu+HTZS+veffIi5QRbl6iMb68SOEoKmpiaqqKqqqqnjvvfdYtWoVZWVllJWVMXPmTCRJ0len2Ww2nE4naWlpZGdnj2t1mmYQlJWVddk41vb09FBTU0N+fj6zZs0a9D2Xy6XPoPb29p63E36q0ATpihUrxuVxcfDgQe655x6+8Y1v8Nhjj035v1M01o+dcMb7SI31ET1TqtHT00NFRUV0xmScyLJMaWkppaWlPPHEExw4cICKigp+9rOf8c///M/cdttto5pL0UTYxaqE2s6s8WbzpoJTp07R1NREcXHxeR9QSZLOs1i32Ww0NjZy6NChKcmqCiE4fvz4JQnSv/71r3zzm99ky5YtESFIYeSVIkOdXqMMQR34E47niRJliojG+ktDkiTmzJnD17/+db72ta/R0tJCVVWV7uRbUFBAeXk5ZWVlzJ07l7y8PF2EaavTUlNTdRF2sXjW19eH1WplxowZ5OfnT7nQGQ1dXV3U1tayYMECZsyYcd734+LimDNnju5WqyXqT5w4QUJCwiDX/sl6vXa7/ZIE6eHDh1m3bh1f+cpXIkKQQjTWXxLhiPcRGusnXZQ+/fTTF9xBd/vtt59njPHoo4+yc+fOaCtPGJBlmYKCAgoKCvjhD3/I4cOHqaio4Le//S1f+cpXuOWWWygrK2PdunUsWLCABQsW6FXCEydOUFdXpxsnDDeXolUbQ3dmRTJCCBoaGjhz5gzFxcUkJiZe8PGSJJGQkEBCQgL5+fl6QA/dATbRWVVNkNpstnHvf6usrOThhx/m+eefP+/zFomMFMCiRIkSmURj/dQiSRK5ubk89NBDfOUrX8Fms7FlyxYqKyv5t3/7N5YsWUJZWRnl5eUsWLCAOXPm4Ha7sdvttLW1cezYMZKTk3XX/qFeBd3d3dTW1jJ37lzmzJkzNS9yjHR2drJ///5RjxRZLBZ9F6rf79dd+0+dOkVMTIwe6ydyo4E2BjXeLQDHjh1j3bp1fOELX+Dxxx+PCEF6IaKx/uom4tt3n3zySTZt2qQ7NQLRgDUBCCE4ceKE3uJbW1vLjTfeqM+laC24oW0/oXMpGRkZnD59mrNnz1JUVBRR7QAjIYTg5MmTtLS0UFxcTEJCwiU9n8fj0YNWd3f3oKzqpT536DGfOHGCtrY2SkpKiIuLG/NzbN26lS984Qv89a9/ZcOGDWE5rnDx9NNP89RTT503Z7J58+bLQjxPNlo7z803fS9s7btvvf2DiGvpiXLlE431k4MQgq6uLrZs2UJVVRW7du1i/vz5bNiwgY0bN+o7xLV4ZrPZ6OnpISkpSfeccDqdHDhwYMRqYyTS0dHBgQMHWLx4sT5nO14URdFd+zs6OjAajbrnRDgNI9vb2zlw4MC4x6Dq6+u56667+NjHPsbPfvaziJr1jcb6sRPOeB+psT6iRWlFRQUpKSmsWbOGnp4enn/+eR544IGpPqwrHiEEjY2NVFZWUlVVxQcffMB1113Hhg0bKCsrIzc397y5FIfDgSzLzJkzh5kzZ455LmWyCa02FhcXEx8fH9bnD82qdnZ2Ehsbq7f4jjerGiqiS0pKxnXM27Zt4zOf+Qx/+tOf+MhHPjLmn59oxrL/MkpIkLoxjKL0ncgLVFGubKKxfmoQQtDb28uLL75IVVUVr732GjNnztQF6ooVK5BlGZ/Pp7exdnZ2ApCdnU1+fn7YY+dEYLfbOXjwIEuXLmXatGlhfW5VVfVdqJphZKgp4niFYEdHB/v37x+3IG1sbOTuu+9m/fr1/PrXv44oQQrRWD8ewhnvIzXWR6wo1WzhQ0lJSYk6c00yQgjOnj2rGyf84x//oKioSJ9LycnJ4etf/zp33HEHS5Ysoauri/7+/jHNpUw2oQZBxcXF46o2joVAIKCv4dGyqtq5SUlJGZVA1RwWm5ubxy1Id+7cySc/+UmeeeYZ7rvvvvG8lElhqE38gw8+GDU9GYGoKI1yuRON9ZFDf38/27Zto7Kyku3bt5OVlaUL1OLiYv7zP/8TRVG4++67cblcdHZ2Eh8fr1dQJ3POcrRoBkHLly8nKytrQn+XEELfhWq32/H7/YME6mjX8GhV3SVLloxLRDc3N3PHHXdwxx138Lvf/S7iBKlGNNaPjagojRIlBCEEbW1tvPDCC1RWVvLmm28SHx+PwWDgueee4+abb0aSJH0uxW636+51I82lTMVrOHLkCJ2dneOex7wUhsuqagI1LS1txOBRX1/P2bNnx91mvGfPHj760Y/y29/+lk9/+tMRd+MQyoX2X0YZjB6kbvhu+ETp338YcYEqSpQok4vT6WTHjh1UVlaybds2JEnC6XTyve99j4cffhiDwUAgENA7gjo6OoiJidFjfWJi4pTHmdbWVg4fPjxug6BLQQhBf3+/HutHu4ZHm3sdb5txa2srd911FzfeeCP//d//HTHr64YjGuvHRjjjfaTG+qgovQhWq5X7778/6gY4BIfDwbp162hqamLu3Ln8/e9/Z+HChbr1/OLFi5EkSXevG24uZbIFoRCCw4cP093dTUlJSUQI5NCsaqjLcWhWtb6+njNnzlBSUjIuQfr222+zadMmfvGLX/D5z39+ym8UooQPLUh96PrwidI3/xF5gSpKlIkmGuuHRwjBd7/7XX79619zww038P777xMTE8P69evZuHEj119/PUajUZ+ztNlsdHR0YDab9YRrcnLypMcdzXxwxYoVEbEFwOFw6DO6DodD7ybLzMzU70U0Z+DxClKbzcY999xDUVERf/rTnyJakEYZO+GM95Ea6y+LlTBTRUVFBXl5eVit1qk+lIjjC1/4ArIsc+DAARISEujp6WHr1q1UVVXxs5/9jDlz5ujOfsuWLWPmzJmD5lJOnjxJQkKCnlWd6LkUVVU5dOgQ/f39ESFIIeiOmJqaSmpqqu5y3N7ezsmTJ6mrqyM9PR1Jkujq6qK0tHRcgvS9997jox/9KD/5yU+igjRKlChRhiEa60fmD3/4A88++yzvvvsuS5cuxefz8cYbb1BRUaF33axbt47y8nJuvvlmsrOzURRFH1mpqanBYDDoyejRjqxcCtpauoKCAtLS0ib0d40WzbV/7ty5uN1u2tvbdZfjpKQkEhISaG1tHbcg7ejoYP369Sxfvpw//vGPUUEa5bIkWikdBZIkET1Ng2lqaiI7O3tYcdfb28vLL79MVVUVO3bsICcnR59LKSwsRJZl3QjIZrNN+FyKqqrU1dXhdDopKiqKuBnX4XA4HBw7dkyfqxrPjO6+ffvYsGED//Zv/8a//Mu/RAXpFYieOb3uO+GrlL77o4jLnkaJMhlEY/35aOM4s2fPPu97gUCAN998k4qKCrZs2YLX62XdunWUlZWxevVqLBbLeSMrkiTpsSw1NTXs845nzpzhxIkTl81aOq/XS1NTE01NTQDnufaPJm53dXWxbt065syZw/PPPx/xRpNRxkc4432kxvqoKB0F0UA1fhwOB9u3b6eyspJXXnmFtLQ0ve2ntLR0xLkUTaBe6lyKqqocOHAAj8dDUVHRZXOxbmxspLGxkeLiYoxG46AZXa0FOisra0STptraWtauXctjjz3GN7/5zaggvULRgtQt14RPlO55P/ICVZQok0E01o8fRVH4+9//rq+V6+/v56677qK8vJw1a9YQFxeHqqr09PRgs9mw2+0IIcjMzCQ7O/uCngqjpampiYaGBgoLCy+b2cTu7m5qampYuHAhWVlZg1bNWCyWi7ZA9/b2sn79erKzs6mqqrosku5Rxkc4432kxvqoKB0F0UAVHlwuF6+99hqVlZW8/PLLxMXFsWHDBsrLy7nuuuuGnUsxmUx6i+9Y51IUReHAgQP4fD6KiopGNBaINLTAWlxcfN7Fwuv16gK+q6tr2ApzXV0d99xzDw8//DDf/va3o4L0CiYqSqNECR/RWB8eVFXl/fff1wVqe3s7d9xxB+Xl5dx5550kJCQM8lSw2WwoijLIqXas7aenTp2isbGRoqIikpOTJ+iVhZeenh6sVuuw+15DW6Db29v1FujMzEy9wtzf309ZWRlJSUm8+OKLETGWFGXiiIrSKEA0UE0EHo+H119/naqqKrZu3YrBYNArqDfeeCMmkwlFUejq6sJmsw26KI9mLkVRFGpra1EUhcLCwitCkA7F7/frWdUTJ07w7W9/m9LSUnbv3s2Xv/xlfvjDH0YF6RWOHqRWfTt8ovSDH0dcoIoSZTKIxvrwo6oqVquViooKqqqqOHv2LGvWrKG8vJy7775bv8709fXpFVSfz0dGRgbZ2dlkZGRcVKA2NDRw+vRpiouLSUxMnIyXdcn09PRQU1PDvHnzmDlz5gUfq6oq3d3desfUv/7rv5KTk0NDQwNZWVls3779stgXG+XSCGe8j9RYf9WJ0qeffpr6+voRv3/77bezZs2aQV+LBqqJxe/3s2fPHiorK9myZQuBQECfS7nlllvGPJcSCASora1FCEFhYeGod4NNNadPn6a+vn5cmV6n08nvfvc7/v3f/x2AjIwMNm7cyEc/+lFuuummiTjcKBGAHqRKwyhK90ZeoIoSZaxEY33kofk7bN68mRdeeIGTJ0+yevVqysrKWLt2rT4Dqq1SsdlseDwe3ZU+MzNzUDwP3d893nVpU0Fvby9Wq5X8/HxmzZo1pp8VQrBt2zYefvhhurq6MJlM3HPPPWzcuJEPf/jDl82IUpSxE854H6mx/qoTpeMhGqgmj0AgwDvvvKMbJzgcDtauXUtZWRm33XYbsbGxF5xLSUpKYv/+/UiSRGFh4WXjQHfmzBlOnjw57tajhoYG7rrrLjZt2sRPfvIT3nrrLaqqqlBVlaeffnoCjnhsRNctTAxRURolSviIxvrJQ9sZrrX4Hjp0iA996EOUlZWxfv16fY2L0+nUY73T6SQ9PV2voDY2NtLa2kpJScllUym8FEEKwS6zj33sY/T397Njxw6ampqoqqpi586d7NmzJyJEaTTeTwxRURoFCAaq7u7uy2Zw/kpBURTeffddKisreeGFF+jq6uLOO++kvLycO+64g/j4+PPmUrxeL2azmYULF5KZmXlZiFLNvr6oqGhc77Gmpibuuusu1q5dy29+85uwuxleKtq6heLi4ugNX5jRgtStJf8aNlG6e9+/R1ygihJlMojG+qlBCMHJkyeprKykqqqKmpoabrjhBsrKytiwYQPTpk1DkiScTqce6/v7+5Ekiblz5zJz5syIEGMXo6+vj+rqavLy8oZ1M74YXq+XT33qU9hsNnbu3BmR7sLReD9xhDPeR2qsj6y71whj165dPProowA88cQTVFRUTPERXV0YDAZuvPFGfvGLX9DQ0MCuXbuYO3cujz/+OHPmzOETn/gEmzdvxmAwkJqayp///GcSEhKYNm0aJ0+e5M033+TAgQO6iUIkognS8boFNjc3s3btWu64446IFKQAmzZtoqioaKoP48pGiPD9iRLlKiMa66cWSZKYP38+3/rWt3j//fc5ceIE69evp6KigoULF+rxrauri5kzZ/L888/T39/P7Nmz6ezs5K233mLfvn2cOXMGj8cz1S9nWPr7+7FarcydO3dcgtTv9/OZz3yG5uZmXn311YgUpBCN95PCFRzro5XSKJcdqqqyf/9+ve2nvr4ek8nEjBkzeOWVV8jOzgaC62hsNtt5cykZGRkRYXzU3NzMsWPHxr1Pra2tjbvuuovrrruOZ599NuKrwtHWuPCjZ06LHwtfpbT6iYjLnkaJEuXqQwhBc3MzVVVVVFVV8c4775CcnIzf7+evf/0rt9xyC5Ik4fF49Aqqdu3SXPtjY2On+mXQ399PdXU1s2fPZu7cuWP++UAgwOc+9zmOHj3KG2+8QVZW1gQcZXiJxvvwE854H6mxPipKI4iGhga99aGhoYEHHngg2kZ0EVpbW7n55psxm80YDAaOHj3KrbfeSnl5OWvXriU9PR0Yfi5FM0qaCoHa0tLC0aNHKSgoIC0tbcw/b7fbueeeeygoKOBPf/rTZWHmFA1S4UcPUkWPYTSEQZQqHnZbIy9QRYlyJRGN9WPH7/dz33338fbbbzN//nw++OADli5dSnl5OWVlZcyfPx9JkvS1aTabje7ubhITE3XX/pH2ek8kDoeDffv2MWvWLPLy8sb884qi8OCDD1JTU8Pu3buZNm3aBBxl+InG+/ATzngfqbE+8u9kryLuvfdefTC8oaGB+++/n82bN0/xUUUuiqJw1113ce211/KHP/wBg8HAiRMnqKio4Pe//z3/8i//wk033aTPpeTl5ZGfn6/PpZw5c4YjR46QmpqqZ1UnYy7lUgVpZ2cnGzZsYPHixfzxj3+8LARplIlFEgIpDDcA4XiOKFGiXJhorB87jz76KEeOHGH//v1kZ2fT2dnJ1q1bqays5N///d9ZsGABZWVllJeXs3jxYmbMmIHP59P3etfX1xMfH6/H+slw6tUE6cyZM8ctSB966CH27t3Lnj17LhtBGmViCUe8j9RYH62URggNDQ2DAhVAamoq3d3dU3hUkU91dTUFBQXnta4KITh16pRunLBv3z6uu+46NmzYQFlZGdOnT0eSJNxut97209fXR0pKil5BnYhF1K2trRw5coSVK1fqVdyx0N3dzfr165kxYwYVFRVTZu4QXbcQGWiZ09WF3wpbpfSNmp9EXPY0SpQrhWisHx+NjY3Ex8eTmZk56Oua2eFLL71EZWUlr732GrNnz2bDhg1s3LiR5cuXI8uyvtfbZrPR2dlJbGysXkFNSEgI+05vh8NBdXU1M2bMID8/f8w/r6oqX/va13j99dfZvXv3uOZQw0U03kcG4Yz3kRrro6I0Qnj66afZvHkzO3fu1L+Wn5/P5s2bo0Pjl4gQgjNnzuhzKe+++y7FxcV6VnXWrFmD5lLsdjs9PT1hn0tpa2vj0KFDFBQUjEuQ9vb2smHDBjIyMtiyZQsWi+WSj2kyiQap8KMHqYJvYTRc+vshoHh5ozbyAlWUKFcK0Vg/sfT19bFt2zYqKyvZsWMH2dnZukAtKipClmUCgQAdHR3Y7XY6Ojowm816rE9KSrpkgep0Otm3bx+5ubnk5+eP+flUVeXRRx/lpZdeYs+ePeOqsk410XgffsIZ7yM11kf7/iKEnp6eYb/e1dU1uQdyBSJJErNmzeLhhx/mq1/9Kq2trbzwwgtUVVXxve99jxUrVuhzKdrusNC5lBMnTuhzKVlZWePah2az2Th06NC4K6T9/f185CMfITk5maqqqstOkGr09PREZ6cmgnC56UVvIqJEmVCisX5iSUpK4r777uO+++7D6XSyfft2KisrWb9+PSkpKWzYsIHy8nJWrVrFtGnTUBSFzs5ObDYbVqsVo9GoV1CTk5PHLCg1QTp9+vRxC9LvfOc7bNmyhd27d1+WglQjGu8niHDE+wiN9VFRGuGMFMCijA9Jkpg+fTpf/vKX+dKXvkRHR4cuUH/4wx+yaNEiXaAuWrRoxLmU0Lafi2Gz2airq2PFihX6QvCx4HQ6uffeezGZTGzdujUi3ATHwq5du/SqwBNPPEFpaSmbNm2a4qOKEiVKlMghGuvDT3x8PJs2bWLTpk243W5ee+01qqqquPfee4mNjWX9+vWUl5dz/fXXk5WVhaqqdHZ2Yrfbqa2tRZIkvYKakpJy0ZVrLpeL6upqcnJymDdv3pgFqRCCH/7wh/ztb39j9+7dLFiw4FJe/pQQjfdRLoWoKI0QUlJSzsuUdnV1RbNME4gkSWRmZvLAAw9w//33093dzYsvvkhlZSVPPvkkeXl5eovv0qVLyc3NHTSX0tjYeNG5FLvdrgvSobMwo8HtdvOxj30MVVXZvn37uKq0U82aNWtYs2YNP/3pT6f6UK5cVCAcI1FqGJ4jSpQoIxKN9VNDbGwsZWVllJWV4fP52LVrF1VVVXz6059GkiRdoN58881kZmaiqird3d3YbDYOHjyIEEKP9ampqecJVJfLxb59+8jOztadgMeCEIKf/OQnPPvss7zxxhssXrw4nC9/0ojG+0kgHPE+QmN9dKY0QhjJ/ODUqVPRYDUF9Pb28vLLL1NZWcmrr77K9OnT9bmUgoKCUc2ltLe3c/DgQZYvXz6uvWIej4f77ruPnp4eXnvtNZKTkyfglUa5nNFmTG5b9kjYZkpfr3sy4uZMokS5UojG+sjC7/fz1ltvsXnzZrZs2YLf72fdunWUlZVx6623YrFYEELQ3d2te04oiqKP86Snp+P1etm3bx9ZWVksWLBgXIL0F7/4Bf/xH//B66+/TmFh4QS92iiXM+GM95Ea66OV0ghh6NxAQ0MDJSUl0SA1RSQnJ/PJT36ST37ykzgcDl555RUqKyu55557SE9PZ/369WzcuJHS0tJBcyl2ux2r1YokSfj9fvLz88dVIfX5fPzTP/0THR0d7Ny5MypIo0SJEuUKIBrrIwuTycRtt93Gbbfdxn/+53/yzjvvUFFRwVe/+lX6+/u5++67KS8vZ82aNSxatIiFCxfS29uLzWbj6NGj+P1+hBCkpqaOa4ZUCMFvfvMbfv7zn/Pqq69GBWmUq5popTSCaGho4KmnnqK0tJS9e/fy2GOPRQNVhOFyuXj11VeprKxk27ZtJCQk6G0/1113HQaDgZdeeglFUZgxYwYOhwNJkvS2n9HMpfj9fj7zmc/Q0NDA66+/Pq451ChXB3rmdOk3w1cpPfT/RVz2NEqUK4lorI98VFXlvffeo6Kigi1bttDe3s6dd95JeXk5d955J/Hx8Zw4cYK3336bJUuWEAgE8Hq9ZGRkkJ2dTUZGxkV3iAshePrpp3n88cfZvn07119//SS9uiiXI+GM95Ea66OiNEqUceLxePS5lK1bt2IymVi2bBlvv/02v/nNb/jkJz85aC6lvb1dn0vJysoiLS3tPIEaCAT4whe+wKFDh9i9e/e42n6jXD3oQWrJ/w2fKD38s4gLVFGiRIkyVaiqSnV1NRUVFbzwwgs0Nzdz/fXXs2/fPu68807++7//G0mScDgc+t5zt9tNeno6WVlZZGZmYjKZBj2nEIL/+Z//4bHHHuPll1/m5ptvnqJXF+VyIZzxPlJjfVSURhmE1Wrl/vvvHzTvEuXi+P1+fv7zn/Pd736X2NhYzGYz69ato7y8nFtuuQWz2awv+bbZbPpcSmZmJrGxseTk5GCxWPjnf/5n9u7dy549e8jJyZnqlxUlwomK0ihRooyHaKwfH6qqsmvXLj7+8Y+jqiput5s1a9ZQVlbG2rVrSUlJQZIknE6nHusdDgdpaWlkZmZiNBqZNm0azz33HN/4xjd48cUXufXWW6f6ZUW5DLgaROmF+wijXFVUVFQAwWAVZWy88847/OhHP+IPf/gDXV1dVFRUEB8fz5e//GXmzp3LAw88wLZt24iNjWXRokXcdNNNFBYWYjab+dWvfsWsWbNYunQpu3bt4qWXXooK0ihjQ9tbFo4/UaJEuaKJxvrxY7PZeOihh9i4cSOdnZ3U1NRwzTXX8Nvf/pa5c+eyceNG/vCHP+ByuZg7dy7XXnst119/PWlpabz11lssXLiQ/3979xPaxpmHcfxRCHbJwRbKQnPxHsbt7qkX1YbS9mYplB4aClINCQslkBgW+m8XLHxqDwkigs0xwTbsoUsPjsfNbS+ePQQCgZoMofiSpR7KptBQFkvWKX8czR4Say3LliX7teed0fcDAkm23kxA8qP3fX/v+7711lv67LPPNDs7S4cUvUtw1jNTijapVEq8LXrz448/anV1VefPn295/sWLF7p3715zXUq1WtUHH3ygc+fO6ezZszp16pQ2Nzd14cIF3blzR6dPn9Zvv/2mDz/8UF999ZUVa0x835fneZKklZUVzc/Ps/7JEs2R0z/+1dxM6cO/WTd6CsA8sr539XpdN27c0PT0dMvymzAM9dNPP8l1XX3//fd68OCB3n//fZ07d04fffSRXn/9daVSKd28eVMzMzN688039fDhQ7377ru6ePGiPv300+j+U6+Q9XYzmfe2Zj2dUrQhqI5Go9HQyspKc13K48ePlcvl9OTJE62ururOnTtyHEerq6taWlrSe++9p3w+H/Vlq1KpaHp6unl/YWGBki9L0CkFcFBk/dEIw1A///yzlpaWdPv2bf3www9655139MYbb2hhYUHfffedPv74Y/3666+6ffu2nj9/ri+++CLqyybrLUenFH2JoDp6jUZDDx480Lfffqv5+XndvXvXyq3gfd/XxMSEqtWqpJe7Ro6Ojmptba3taAMcv62Qyv3hL8Y6pd6/r3cVVEEQyHVdOY6jIAh0+fLlrkbVS6VSy26jB20HwOGQ9UcvDEP98ssvWlpa0pUrVzQ1NaWrV69GfVltyHr7mcz7XrL+OHFOKRCBEydOKJvNKpvN6vr16/seExOVbDar+fn55uNarSZJymQyEV0RdmVqjUgPbRSLxeYoehAEunTpkhYXFzu+xvd9VSoVzczMHKodAIiDVCqlkZERffnll/r88897Psf0uJD1MWIi7y0djKJTCkTM1g7plkKh0Ly/sLCgXC7HTFafC4Kg5bHjOM21SPu9bvuo+0HbAYC4IeuBzuz+hACwRq1Wk+u6zGLZqBGau3XB87y2EfRMJtNxN0/XdVu+9By0HQDA0SHrLXeMWX/cmCnFrmq1GiNkCTY3N6e1tbU9f57P55XL5VqeK5VKWl5e5n1hI8Plu/V6veXpwcFBDQ7+fw3LVmnXTuvr67s+v9ffk17bAWAWWZ9sZH0CUb6LfuB5npaXlyVJ5XJZ4+PjbTMbSIbLly/39PuVSkWlUkmO4zQ7EgRWco2MjLQ8/vrrr/XNN9/s+7q9Opm3bt3q6T23VzsADo+s7x9kPeKETimacrmccrmcrl27FvWlwCKu6yqbzTZDqtcOBo6DqcOwX7bx6NGjlh35ts+SSi+/pOyczVxfX9/1y4vnefrkk092/dd6aQeAGWQ9dkPWx4WJvGemFOgahzjbIQgCFYvFlufS6TRBZRvD5btDQ0Mdt4nP5XKanZ1te35sbGzX379161bzfhAEKpfLmpyc7LkdAMlC1tuBrI8RyneB4+V5XsshzhMTExziHAHHcTjHDm12nlsXBIHGxsaaXyZ931c6nZbjOG3rlaampjQ1NbXr2Xc72wGQbGS9Hch62IDdd2Ed3/dVLpebjwuFgnzfbzs+AsArx7z7riQtLi6qVCrJdV3Nzs627NRYLpflum7L79dqNVUqFUnStWvXmjvsdmoHQHKR9cABJHj33VTI0AgstP34CN/39fbbb6tarTKDAmxTr9c1PDys3O//rJMnBvd/wT42G0/l/eeGNjY2OpbvAoAJZD3QHZN5b2vWM1MKK3GIMwAAyUbWA9jCmlJYbesQZ9aYAB0Y3ugIAI4TWQ90KcEbHTFTCqtxiDPQhQjWlAKAKWQ90KUIsn6rtH4/QRCoUqnIdV1VKpWezxxnphTW4hBnAACSjawH7OW6rhzHaW5O2EmxWGxWOwRBoEuXLvW0eSEzpbDSboc4E1LAHrbKeUzcAOCYkPVAj4456wuFgrLZ7L6/t3PXbMdxmmcQd4uZUliHQ5zN2fqDUKvVtLKyosnJya7+uCBmQhlaU3r4JgCgG2S9OWR9HzGR90eQ9Z7nKZPJtDyXyWTk+37X70VmSmGdrUOct9+q1WrUlxVLxWJRmUxGhUJBo6OjbV8AAACIAllvDlmPg6jX6y23p0+fHritvdaPrq+vd90GnVIgwRYXF1tGqCiLSijKdwGgb5H1fcRg1o+MjGh4eLh5K5fLxi+3l82OKN8FOoh7SUwul2veX1xc1NTUVIRXgyPTaEhqGGoHAPoLWY/YMJH3r7L+0aNHGhoaaj49ODh44CbT6XTbrOj6+npPAyTMlAIdJKEkxvd9lUol5fN51uoAALADWY9+NDQ01HI7TKd0+8DIdmNjY123QacU6CAJJTHZbFYzMzNaW1uT67pRXw6OAuW7AHBgZD1iI8Ks31mK6/t+c9ddx3FafhYEgcbGxnr6LFG+C3RgY0nM3Nyc1tbW9vx5Pp9vG7FKp9MqFovK5/OqVquxDFx0YKpDSacUQB8i6xEbJvK+h9d7nqfl5WVJUrlc1vj4uAqFQsvj6elpSS8/O6VSSePj41pZWenpjFJJSoUh30KATnzf18LCgk6fPt384MWB53kqFovN3QyDINDo6Kju378fq7Uy2Fu9Xtfw8LByv7uokycGDt3eZuOZvP/+XRsbGy3rTAAg6ch62Mxk3tua9ZTvAvuIa0lMJpNpGUX1fV/pdJqQSqJGaO4GAH2IrEcsJDjrKd8FuhDHkphsNqvJyUnNzc1JkpaXl3X//v2IrwpHIQwbCsPD75xrog0AiCuyHrYzkfe2Zj2dUmAPO0tithZxB0EQmxHIrbp/SezGBwDADmQ9YAc6pcAeKIlBbISGynHYYgBAnyHrESsm8t7SrKdTCuyBkhjERhhKolMKAL0i6xErJvLe0qxn910AiKmt3fgmhv+kkykDu++Gz/SvjX9YtyMfAAD9zGTe25r1zJQCQNw1GlLKwMYFlm5+AAAAZCbvLc16OqUAEHeU7wIAkHwJLt/lnFIAAAAAQGSYKQWAmAsbDYUGyndtPbsMAACYyXtbs55OKQDEHeW7AAAkH+W7AAAAAACYx0wpAMRdI5RSzJQCAJBoJvLe0qynUwoAcReGkkwcCWNnUAEAAJnJe0uznvJdAAAAAEBkmCkFgJgLG6FCA+W7oaWjpwAAwEze25r1dEoBIO7ChsyU79q5TTwAAJCZvLc06ynfBQAAAABEhplSAIg5yncBAEg+yncBAPaifBcAgORLcPkunVIAiLlNPZcMDHxu6vnhGwEAAEfCRN7bmvV0SgEgpgYGBnTmzBndffxPY22eOXNGAwMDxtoDAACHYzrvbcz6VGhrYTEAYF9PnjzRs2fPjLU3MDCg1157zVh7AADg8EzmvY1ZT6cUAAAAABAZjoQBAAAAAESGTikAAAAAIDJ0SgEAAAAAkaFTCgAAAACIDJ1SAAAAAEBk6JQCAAAAACJDpxQAAAAAEJn/AZbBdbYihZypAAAAAElFTkSuQmCC", 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" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], "source": [ "# DTM with parameter m = 0.05\n", "m = 0.05\n", - "DTM_values = DTM(X,X,m)\n", + "DTM_values = utils_dtm.DTM(X,X,m)\n", "\n", - "fig = plt.figure(); \n", - "ax = fig.add_subplot(projection=\"3d\")\n", + "fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(12, 5), subplot_kw={'projection': '3d'})\n", "\n", - "plot = ax.scatter(X[:,0], X[:,1], X[:,2], c=DTM_values)\n", - "fig.colorbar(plot)\n", - "ax.view_init(30, 30)\n", + "plot = axes[0].scatter(X[:,0], X[:,1], X[:,2], c=DTM_values)\n", + "plt.colorbar(plot, ax=axes[0])\n", + "_ = axes[0].set_title('DTM with parameter m = 0.05')\n", "\n", "# DTM with parameter m = 0.3\n", "m = 0.3\n", - "DTM_values = DTM(X,X,m)\n", + "DTM_values = utils_dtm.DTM(X,X,m)\n", "\n", - "fig = plt.figure(); \n", - "ax = fig.add_subplot(projection=\"3d\")\n", - "plot=ax.scatter(X[:,0], X[:,1], X[:,2], c=DTM_values)\n", - "fig.colorbar(plot)\n", - "ax.view_init(30, 30)" + "plot=axes[1].scatter(X[:,0], X[:,1], X[:,2], c=DTM_values)\n", + "plt.colorbar(plot, ax=axes[1])\n", + "_ = axes[1].set_title('DTM with parameter m = 0.3')" ] }, { @@ -624,29 +491,17 @@ "name": "stdout", "output_type": "stream", "text": [ - "Alpha Weighted Rips Complex is of dimension 3 - 56153 simplices - 1400 vertices. Filtration maximal value is inf.\n" + "Alpha Weighted Rips Complex is of dimension 3 - 58193 simplices - 1400 vertices. Filtration maximal value is inf.\n" ] }, { "data": { + "image/png": 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", "text/plain": [ - "Text(0.5, 1.0, 'Persistence diagram of the Alpha-DTM-filtration with parameter p =1')" + "
" ] }, - "execution_count": 11, "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, "output_type": "display_data" } ], @@ -657,12 +512,12 @@ "dimension_max = 3\n", "\n", "# compute the persistence diagram\n", - "simplex_tree_DTM_alpha = AlphaDTMFiltration(X, m, p, dimension_max)\n", + "simplex_tree_DTM_alpha = utils_dtm.AlphaDTMFiltration(X, m, p, dimension_max)\n", "diagram_DTM_alpha = simplex_tree_DTM_alpha.persistence() \n", "\n", "# plot the persistence diagram\n", - "gudhi.plot_persistence_diagram(diagram_DTM_alpha) \n", - "plt.title('Persistence diagram of the Alpha-DTM-filtration with parameter p ='+str(p))" + "gd.plot_persistence_diagram(diagram_DTM_alpha) \n", + "_ = plt.title('Persistence diagram of the Alpha-DTM-filtration with parameter p ='+str(p))" ] }, { @@ -683,29 +538,17 @@ "name": "stdout", "output_type": "stream", "text": [ - "Alpha Weighted Rips Complex is of dimension 3 - 56153 simplices - 1400 vertices. Filtration maximal value is inf.\n" + "Alpha Weighted Rips Complex is of dimension 3 - 58193 simplices - 1400 vertices. Filtration maximal value is inf.\n" ] }, { "data": { + "image/png": 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", "text/plain": [ - "Text(0.5, 1.0, 'Persistence diagram of the Alpha-DTM-filtration with parameter p=1')" + "
" ] }, - "execution_count": 12, "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, "output_type": "display_data" } ], @@ -716,12 +559,12 @@ "dimension_max = 3\n", "\n", "# compute the persistence diagram\n", - "simplex_tree_DTM_alpha = AlphaDTMFiltration(X, m, p, dimension_max)\n", + "simplex_tree_DTM_alpha = utils_dtm.AlphaDTMFiltration(X, m, p, dimension_max)\n", "diagram_DTM_alpha = simplex_tree_DTM_alpha.persistence() \n", "\n", "# plot the persistence diagram\n", - "gudhi.plot_persistence_diagram(diagram_DTM_alpha) \n", - "plt.title('Persistence diagram of the Alpha-DTM-filtration with parameter p='+str(p))" + "gd.plot_persistence_diagram(diagram_DTM_alpha) \n", + "_ = plt.title('Persistence diagram of the Alpha-DTM-filtration with parameter p='+str(p))" ] }, { @@ -747,73 +590,20 @@ "name": "stdout", "output_type": "stream", "text": [ - "Alpha Weighted Rips Complex is of dimension 3 - 56153 simplices - 1400 vertices. Filtration maximal value is inf.\n", - "Alpha Weighted Rips Complex is of dimension 3 - 56153 simplices - 1400 vertices. Filtration maximal value is inf.\n", - "Alpha Weighted Rips Complex is of dimension 3 - 56153 simplices - 1400 vertices. Filtration maximal value is inf.\n" + "Alpha Weighted Rips Complex is of dimension 3 - 58193 simplices - 1400 vertices. Filtration maximal value is inf.\n", + "Alpha Weighted Rips Complex is of dimension 3 - 58193 simplices - 1400 vertices. Filtration maximal value is inf.\n", + "Alpha Weighted Rips Complex is of dimension 3 - 58193 simplices - 1400 vertices. Filtration maximal value is inf.\n" ] }, { "data": { + "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" } ], "source": [ @@ -822,13 +612,16 @@ "P = [2, 6.62, np.inf]\n", "dimension_max = 3\n", "\n", - "for p in P:\n", - " st = AlphaDTMFiltration(X, m, p, dimension_max)\n", - " diagram = st.persistence() \n", - " \n", - " plt.figure()\n", - " gudhi.plot_persistence_diagram(diagram) \n", - " plt.title('Persistence diagram of the DTM-filtration with parameter p ='+str(p))" + "fig, axes = plt.subplots(nrows=1, ncols=3, figsize=(18, 5))\n", + "fig.suptitle('Persistence diagram of the DTM-filtration', fontsize=18)\n", + "\n", + "for index in range(len(P)):\n", + " p = P[index]\n", + " ax = axes[index]\n", + " st = utils_dtm.AlphaDTMFiltration(X, m, p, dimension_max)\n", + " diagram = st.persistence()\n", + " gd.plot_persistence_diagram(diagram, axes=ax)\n", + " ax.set_title('with parameter p ='+str(p))" ] }, { @@ -883,9 +676,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.4" + "version": "3.11.0" } }, "nbformat": 4, - "nbformat_minor": 2 + "nbformat_minor": 4 } diff --git a/utils/utils_dtm.py b/utils/utils_dtm.py new file mode 100644 index 0000000..9aaa0b3 --- /dev/null +++ b/utils/utils_dtm.py @@ -0,0 +1,303 @@ +import numpy as np +import math +import random +import gudhi +from sklearn.neighbors import KDTree +from sklearn.metrics.pairwise import euclidean_distances +import matplotlib.pyplot as plt +from mpl_toolkits.mplot3d import Axes3D + + +def DTM(X, query_pts, m): + """ + Compute the values of the DTM (with exponent p=2) of the empirical measure of a point cloud X + Require sklearn.neighbors.KDTree to search nearest neighbors + + Input: + X: a nxd numpy array representing n points in R^d + query_pts: a kxd numpy array of query points + m: parameter of the DTM in [0,1) + + Output: + DTM_result: a kx1 numpy array contaning the DTM of the + query points + + Example: + X = np.array([[-1, -1], [-2, -1], [-3, -2], [1, 1], [2, 1], [3, 2]]) + Q = np.array([[0,0],[5,5]]) + DTM_values = DTM(X, Q, 0.3) + """ + N_tot = X.shape[0] + k = math.floor(m * N_tot) + 1 # number of neighbors + + kdt = KDTree(X, leaf_size=30, metric="euclidean") + NN_Dist, NN = kdt.query(query_pts, k, return_distance=True) + + DTM_result = np.sqrt(np.sum(NN_Dist * NN_Dist, axis=1) / k) + + return DTM_result + + +def WeightedRipsFiltrationValue(p, fx, fy, d, n=10): + """ + Computes the filtration value of the edge [x,y] in the weighted Rips filtration. + If p is not 1, 2 or 'np.inf, an implicit equation is solved. + The equation to solve is G(I) = d, where G(I) = (I**p-fx**p)**(1/p)+(I**p-fy**p)**(1/p). + We use a dichotomic method. + + Input: + p (float): parameter of the weighted Rips filtration, in [1, +inf) or np.inf + fx (float): filtration value of the point x + fy (float): filtration value of the point y + d (float): distance between the points x and y + n (int, optional): number of iterations of the dichotomic method + + Output: + val (float): filtration value of the edge [x,y], i.e. solution of G(I) = d. + + Example: + WeightedRipsFiltrationValue(2.4, 2, 3, 5, 10) + """ + if p == np.inf: + value = max([fx, fy, d / 2]) + else: + fmax = max([fx, fy]) + if d < (abs(fx**p - fy**p)) ** (1 / p): + value = fmax + elif p == 1: + value = (fx + fy + d) / 2 + elif p == 2: + value = np.sqrt(((fx + fy) ** 2 + d**2) * ((fx - fy) ** 2 + d**2)) / (2 * d) + else: + Imin = fmax + Imax = (d**p + fmax**p) ** (1 / p) + for i in range(n): + I = (Imin + Imax) / 2 + g = (I**p - fx**p) ** (1 / p) + (I**p - fy**p) ** (1 / p) + if g < d: + Imin = I + else: + Imax = I + value = I + return value + + +def WeightedRipsFiltration(X, F, p, dimension_max=2, filtration_max=np.inf): + """ + Compute the weighted Rips filtration of a point cloud, weighted with the + values F, and with parameter p + + Input: + X: a nxd numpy array representing n points in R^d + F: an array of length n, representing the values of a function on X + p: a parameter in [0, +inf) or np.inf + filtration_max: maximal filtration value of simplices when building the complex + dimension_max: maximal dimension to expand the complex + + Output: + st: a gudhi.SimplexTree + """ + N_tot = X.shape[0] + distances = euclidean_distances(X) # compute the pairwise distances + st = gudhi.SimplexTree() # create an empty simplex tree + + for i in range(N_tot): # add vertices to the simplex tree + value = F[i] + if value < filtration_max: + st.insert([i], filtration=F[i]) + for i in range(N_tot): # add edges to the simplex tree + for j in range(i): + value = WeightedRipsFiltrationValue(p, F[i], F[j], distances[i][j]) + if value < filtration_max: + st.insert([i, j], filtration=value) + + st.expansion(dimension_max) # expand the simplex tree + + result_str = ( + "Weighted Rips Complex is of dimension " + + repr(st.dimension()) + + " - " + + repr(st.num_simplices()) + + " simplices - " + + repr(st.num_vertices()) + + " vertices." + + " Filtration maximal value is " + + str(filtration_max) + + "." + ) + print(result_str) + + return st + + +def DTMFiltration(X, m, p, dimension_max=2, filtration_max=np.inf): + """ + Compute the DTM-filtration of a point cloud, with parameters m and p + + Input: + X: a nxd numpy array representing n points in R^d + m: parameter of the DTM, in [0,1) + p: parameter of the filtration, in [0, +inf) or np.inf + filtration_max: maximal filtration value of simplices when building the complex + dimension_max: maximal dimension to expand the complex + + Output: + st: a gudhi.SimplexTree + """ + + DTM_values = DTM(X, X, m) + st = WeightedRipsFiltration(X, DTM_values, p, dimension_max, filtration_max) + + return st + + +def AlphaDTMFiltration(X, m, p, dimension_max=2, filtration_max=np.inf): + """ + /!\ this is a heuristic method, that speeds-up the computation. + It computes the DTM-filtration seen as a subset of the Delaunay filtration. + + Input: + X (np.array): size Nxn, representing N points in R^n. + m (float): parameter of the DTM, in [0,1). + p (float): parameter of the DTM-filtration, in [0, +inf) or np.inf. + dimension_max (int, optional): maximal dimension to expand the complex. + filtration_max (float, optional): maximal filtration value of the filtration. + + Output: + st (gudhi.SimplexTree): the alpha-DTM filtration. + """ + N_tot = X.shape[0] + alpha_complex = gudhi.AlphaComplex(points=X) + st_alpha = alpha_complex.create_simplex_tree() + Y = X + distances = euclidean_distances(Y) # computes the pairwise distances + DTM_values = DTM(X, Y, m) + + st = gudhi.SimplexTree() # creates an empty simplex tree + for simplex in st_alpha.get_skeleton(2): # adds vertices with corresponding filtration value + if len(simplex[0]) == 1: + i = simplex[0][0] + st.insert([i], filtration=DTM_values[i]) + if len(simplex[0]) == 2: # adds edges with corresponding filtration value + i = simplex[0][0] + j = simplex[0][1] + value = WeightedRipsFiltrationValue(p, DTM_values[i], DTM_values[j], distances[i][j]) + st.insert([i, j], filtration=value) + st.expansion(dimension_max) # expands the complex + result_str = ( + "Alpha Weighted Rips Complex is of dimension " + + repr(st.dimension()) + + " - " + + repr(st.num_simplices()) + + " simplices - " + + repr(st.num_vertices()) + + " vertices." + + " Filtration maximal value is " + + str(filtration_max) + + "." + ) + print(result_str) + return st + + +def SampleOnCircle(N_obs=100, N_out=0, is_plot=False): + """ + Sample N_obs points (observations) points from the uniform distribution on the unit circle in R^2, + and N_out points (outliers) from the uniform distribution on the unit square + + Input: + N_obs: number of sample points on the circle + N_noise: number of sample points on the square + is_plot = True or False : draw a plot of the sampled points + + Output : + data : a (N_obs + N_out)x2 matrix, the sampled points concatenated + """ + rand_uniform = np.random.rand(N_obs) * 2 - 1 + X_obs = np.cos(2 * np.pi * rand_uniform) + Y_obs = np.sin(2 * np.pi * rand_uniform) + + X_out = np.random.rand(N_out) * 2 - 1 + Y_out = np.random.rand(N_out) * 2 - 1 + + X = np.concatenate((X_obs, X_out)) + Y = np.concatenate((Y_obs, Y_out)) + data = np.stack((X, Y)).transpose() + + if is_plot: + fig, ax = plt.subplots() + plt_obs = ax.scatter(X_obs, Y_obs, c="tab:cyan") + plt_out = ax.scatter(X_out, Y_out, c="tab:orange") + ax.axis("equal") + ax.set_title(str(N_obs) + "-sampling of the unit circle with " + str(N_out) + " outliers") + ax.legend((plt_obs, plt_out), ("data", "outliers"), loc="lower left") + return data + + +def SampleOnSphere(N_obs=100, N_out=0): + """ + Sample N_obs points from the uniform distribution on the unit sphere + in R^3, and N_out points from the uniform distribution on the unit cube. + + Input: + N_obs (int): number of sample points on the sphere. + N_out (int): number of sample points on the cube. + + Output: + data (np.array): size (N_obs + N_out)x3, the points concatenated. + + Example: + X = SampleOnSphere(N_obs = 100, N_out = 0) + velour.PlotPointCloud(X) + """ + RAND_obs = np.random.normal(0, 1, (3, N_obs)) + norms = np.sum(np.multiply(RAND_obs, RAND_obs).T, 1).T + X_obs = RAND_obs[0, :] / np.sqrt(norms) + Y_obs = RAND_obs[1, :] / np.sqrt(norms) + Z_obs = RAND_obs[2, :] / np.sqrt(norms) + X_out = np.random.rand(N_out) * 2 - 1 + Y_out = np.random.rand(N_out) * 2 - 1 + Z_out = np.random.rand(N_out) * 2 - 1 + X = np.concatenate((X_obs, X_out)) + Y = np.concatenate((Y_obs, Y_out)) + Z = np.concatenate((Z_obs, Z_out)) + data = np.stack((X, Y, Z)).transpose() + return data + + +def SampleOnNecklace(N_obs=100, N_out=0, is_plot=False): + """ + Sample 4*N_obs points on a necklace in R^3, + and N_out points from the uniform distribution on a cube + + Input : + N_obs: number of sample points on the sphere + N_noise: number of sample points on the cube + is_plot = True or False : draw a plot of the sampled points + + Output : + data : a (4*N_obs + N_out)x3 matrix, the sampled points concatenated + """ + + X1 = SampleOnSphere(N_obs, N_out=0) + [2, 0, 0] + X2 = SampleOnSphere(N_obs, N_out=0) + [-1, 2 * 0.866, 0] + X3 = SampleOnSphere(N_obs, N_out=0) + [-1, -2 * 0.866, 0] + X4 = 2 * SampleOnCircle(N_obs, N_out=0) + X4 = np.stack((X4[:, 0], X4[:, 1], np.zeros(N_obs))).transpose() + + data_obs = np.concatenate((X1, X2, X3, X4)) + + X_out = 3 * (np.random.rand(N_out) * 2 - 1) + Y_out = 3 * (np.random.rand(N_out) * 2 - 1) + Z_out = 3 * (np.random.rand(N_out) * 2 - 1) + data_out = np.stack((X_out, Y_out, Z_out)).transpose() + + data = np.concatenate((data_obs, data_out)) + + if is_plot: + ax = plt.figure().add_subplot(projection="3d") + plt_obs = ax.scatter(data_obs[:, 0], data_obs[:, 1], data_obs[:, 2], c="tab:cyan") + plt_out = ax.scatter(X_out, Y_out, Z_out, c="tab:orange") + ax.set_title(str(4 * N_obs) + "-sampling of the necklace with " + str(N_out) + " outliers") + ax.legend((plt_obs, plt_out), ("data", "outliers"), loc="lower left") + return data