{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# **Signed Cumulative Distribution Transform (SCDT)**\n", "\n", "This tutorial will demonstrate: how to use the forward and inverse operations of the SCDT in the the PyTransKit package." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Class:: SCDT\n", "**Parameters**:\n", " Inputs:\n", " ----------------\n", " reference : 1d array\n", " Reference signal used to calculate SCDT.\n", " x0 : 1d array\n", " Independent axis variable of reference signal.\n", "**Functions**:\n", "1. Forward transform:\n", " Iposhat, Ineghat, Imasspos, Imassneg = stransform(I,x)\n", " \n", " Inputs:\n", " ----------------\n", " I : 1d array\n", " Input signal to transform.\n", " x : 1d array\n", " Independent axis variable of the input signal to transform.\n", " \n", " Outputs:\n", " ----------------\n", " Iposhat : 1d array\n", " CDT of positive values of input signal I.\n", " Ineghat : 1d array\n", " CDT of negative values of input signal I.\n", " Imasspos : 1d array\n", " Total mass of the positive part of the input signal I.\n", " Imassneg : 1d array\n", " Total mass of the negative part of the input signal I.\n", " \n", "2. Inverse transform:\n", " I_recon = istransform(Iposhat, Ineghat, Imasspos, Imassneg)\n", " \n", " Inputs:\n", " ----------------\n", " Iposhat : 1d array\n", " CDT of positive values of input signal I.\n", " Ineghat : 1d array\n", " CDT of negative values of input signal I.\n", " Imasspos : 1d array\n", " Total mass of the positive part of the input signal I.\n", " Imassneg : 1d array\n", " Total mass of the negative part of the input signal I.\n", " \n", " Outputs:\n", " ----------------\n", " I_recon : 1d array\n", " Reconstructed signal." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SCDT Demo\n", "The examples will cover the following operations:\n", "* Forward and inverse operations of the SCDT without domain adaptation\n", "* Forward and inverse operations of the SCDT with domain adaptation\n", "* Example: Linear separability" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### SCDT without the domain adaptation\n", "\n", "By default, maps the SCDT values between $[0,1]$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "***Import necessary libraries***" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from numpy import interp\n", "import math\n", "import matplotlib.pyplot as plt\n", "from scipy.linalg import lstsq\n", "from scipy import signal\n", "\n", "import sys\n", "sys.path.append('../')\n", "from pytranskit.optrans.continuous import SCDT" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "***Reference signal $s_0$***" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "N = 300\n", "\n", "## Gaussian distribution\n", "t0 = np.linspace(0,1,N) # Domain of the reference\n", "#s0 = np.exp(-10*(t0-0.5)**2)/np.sqrt(2*np.pi)\n", "s0 = np.ones(N)\n", "s0 = s0/s0.sum()\n", "\n", "# scdt = SCDT(reference=s0,x0=t0)\n", "\n", "plt.plot(t0,s0)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Target signal $s$**\n", "\n", "for example $\\quad $ $s(t) = \\pi^{-0.25}e^{4\\pi j \\omega (t-t_{\\mu})}e^{-120(t-t_{\\mu})^2} $ " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "t = np.linspace(0,0.5,N) # Domain of the input signal\n", "\n", "def signal_gabor(t):\n", " w = 10\n", " tm = t[-1]/2\n", " s = np.real(math.pi**-0.25 * np.exp(4*math.pi*1j*w*(t-tm)) * np.exp(-120*((t-tm)**2)))\n", " return s\n", "\n", "s = signal_gabor(t)\n", "s_CDF = np.cumsum(s)\n", "# Plotting\n", "plt.plot(t, s)\n", "plt.title(\"signal\",\n", " fontsize=16, color='black')\n", "plt.xlabel('t: time')\n", "plt.ylabel('s(t)')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Compute SCDT transform of $s$ & the inverse transform**" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "scdt = SCDT(reference=s0)\n", "\n", "#Calculating SCDT of the target signal\n", "##spos,sneg contain transform of the positve and negative parts of s\n", "### smasspos, smassneg contain the masses of the positive and negative parts of s\n", "spos, sneg, smasspos, smassneg = scdt.stransform(s)\n", "\n", "fig, ax = plt.subplots(1, 4, sharex=False, sharey=False, figsize=(15,5))\n", "ax[0].plot(t, np.cumsum(s), 'b-')\n", "ax[0].set_xlabel('t: time')\n", "ax[0].set_title('Original integral of $s$')\n", "ax[0].legend(['$F_s(x)=\\int_{-\\infty}^x s(t)dt$'])\n", "\n", "ax[1].plot(t0, spos, 'g-')\n", "ax[1].set_title('CDT of positive part')\n", "ax[1].legend(['$\\hat{spos}$'])\n", "\n", "ax[2].plot(t0, sneg, 'g-')\n", "ax[2].set_title('CDT of negative part')\n", "ax[2].legend(['$\\hat{sneg}$'])\n", "\n", "ax[3].plot(t, np.cumsum(s), 'b-')\n", "ax[3].plot(t, scdt.istransform(spos, sneg, smasspos, smassneg), 'r-')\n", "ax[3].set_title('Reconstruction')\n", "ax[3].legend(['$F_s$','Inverse of SCDT of $s$'])\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### SCDT with the domain adaptation\n", "\n", "Maps the SCDT values to the domain $t$ of the input signal $s$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Target signal $s$**" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "t = np.linspace(0,0.5,N) # Domain of the input signal\n", "\n", "def signal_gabor(t):\n", " w = 10\n", " tm = t[-1]/2\n", " s = np.real(math.pi**-0.25 * np.exp(4*math.pi*1j*w*(t-tm)) * np.exp(-120*((t-tm)**2)))\n", " return s\n", "\n", "s = signal_gabor(t)\n", "s_CDF = np.cumsum(s)\n", "# Plotting\n", "plt.plot(t, s)\n", "plt.title(\"signal\",\n", " fontsize=16, color='black')\n", "plt.xlabel('t: time')\n", "plt.ylabel('s(t)')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Compute SCDT transform of $s$ & the inverse transform**" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "scdt = SCDT(reference=s0)\n", "\n", "#Calculating SCDT of the input signal s\n", "##spos,sneg contain transform of the positve and negative parts of s\n", "### smasspos, smassneg contain the masses of the positive and negative parts of s\n", "#### SCDT values will be mapped to the domain t of input signal s\n", "spos, sneg, smasspos, smassneg = scdt.stransform(s, x=t)\n", "\n", "fig, ax = plt.subplots(1, 4, sharex=False, sharey=False, figsize=(15,5))\n", "ax[0].plot(t, np.cumsum(s), 'b-')\n", "ax[0].set_xlabel('t: time')\n", "ax[0].set_title('Original integral of $s$')\n", "ax[0].legend(['$F_s(x)=\\int_{-\\infty}^x s(t)dt$'])\n", "\n", "ax[1].plot(t0, spos, 'g-')\n", "ax[1].set_title('CDT of positive part')\n", "ax[1].legend(['$\\hat{spos}$'])\n", "\n", "ax[2].plot(t0, sneg, 'g-')\n", "ax[2].set_title('CDT of negative part')\n", "ax[2].legend(['$\\hat{sneg}$'])\n", "\n", "ax[3].plot(t, np.cumsum(s), 'b-')\n", "ax[3].plot(t, scdt.istransform(spos, sneg, smasspos, smassneg), 'r-')\n", "ax[3].set_title('Reconstruction')\n", "ax[3].legend(['$F_s$','Inverse of SCDT of $s$'])\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example: Linear separability\n", "Test linear separability of three classes, i.e. class 𝑘∈{1,2,3}\n", "k\n", "∈\n", "{\n", "1\n", ",\n", "2\n", ",\n", "3\n", "}\n", " , Gabor, Sawtooth, Square apodized wave. Use only translation and scaling." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## Define a set of signals\n", "\n", "t = np.linspace(-0.5,0.5,N)\n", "\n", "\n", "def signal_gabor(t):\n", " w = 30\n", " s = np.real(math.pi**-0.25 * np.exp(2*math.pi*1j*w*(t)) * np.exp(-200*((t)**2)))\n", " return s\n", "\n", "def signal_sawtooth(t):\n", " s2 = signal.sawtooth(2 * np.pi * 15 * t)* np.exp(-250*((t)**2))\n", " return s2\n", "\n", "def signal_square(t):\n", " s3 = signal.square(2 * np.pi * 15 * t)*np.exp(-250*((t)**2))\n", " return s3\n", "\n", "s1 = signal_gabor(t) \n", "\n", "s2 = signal_sawtooth(t) \n", "\n", "s3 = signal_square(t) \n", "\n", "## Plotting\n", "fig, ax = plt.subplots(1, 3, sharex=False, sharey=False, figsize=(25,3))\n", "\n", "#c = ['b*', 'ro', 'kx'][i]\n", "ax[0].plot(t,s1,'b')\n", "ax[0].set_title(\"Gabor wave\")\n", "ax[0].set_yticks([])\n", "\n", "ax[1].plot(t,s2,'r')\n", "ax[1].set_title(\"Sawtooth wave\")\n", "ax[1].set_yticks([])\n", "\n", "ax[2].plot(t,s3,'k')\n", "ax[2].set_title(\"Square wave\")\n", "ax[2].set_yticks([])\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "K = 3 # number of classes\n", "L_slope = 20 # number of slope variations\n", "L_shift = 30 # number of shifts\n", "L = L_slope*L_shift\n", "# N number of points in each signal\n", "\n", "I = np.zeros((K,L,N))\n", "Ihat = np.zeros((K,L,2*(N+1))) #we are going to store both positive and negative parts of the SCDT together by concatenating them\n", "slope_array = np.linspace(0.75,2,L_slope)\n", "shift_array = np.linspace(-0.25,0.25,L_shift)\n", "\n", "\n", "#populate gabor class\n", "k = 0\n", "v = 0\n", "for i_slope in range(L_slope):\n", " for i_shift in range(L_shift):\n", " b = slope_array[i_slope]\n", " c = shift_array[i_shift]\n", " g = b*(t) + c\n", " g_prime = b\n", " s = g_prime*signal_gabor(g) \n", " s = s/1\n", " noise = np.random.normal(0,0.02,N)\n", " I[k,v,:] = s + noise\n", " Ipos, Ineg, Imasspos, Imassneg = scdt.stransform(s+noise)\n", " Ipos_mass = np.array([Imasspos])\n", " Ineg_mass = np.array([Imassneg])\n", " Ipos_final = np.concatenate((Ipos,Ipos_mass),axis=0)\n", " Ineg_final = np.concatenate((Ineg,Ineg_mass),axis=0)\n", " Ihat[k,v,:]= np.concatenate((Ipos_final,Ineg_final),axis=0)\n", " #Ihat[k,v,:] = np.concatenate([Ipos,Ineg])\n", " v = v+1\n", " \n", "#populate sawthoot class\n", "k = 1\n", "v = 0\n", "for i_slope in range(L_slope):\n", " for i_shift in range(L_shift):\n", " b = slope_array[i_slope]\n", " c = shift_array[i_shift]\n", " g = b*(t) + c\n", " g_prime = b\n", " s = g_prime*signal_sawtooth(g) \n", " s = s/1\n", " noise = np.random.normal(0,0.02,N)\n", " I[k,v,:] = s + noise\n", " Ipos, Ineg, Imasspos, Imassneg = scdt.stransform(s+noise)\n", " Ipos_mass = np.array([Imasspos])\n", " Ineg_mass = np.array([Imassneg])\n", " Ipos_final = np.concatenate((Ipos,Ipos_mass),axis=0)\n", " Ineg_final = np.concatenate((Ineg,Ineg_mass),axis=0)\n", " Ihat[k,v,:]= np.concatenate((Ipos_final,Ineg_final),axis=0)\n", " #Ihat[k,v,:] = np.concatenate([Ipos,Ineg])\n", " v = v+1\n", "\n", "#populate square wave class\n", "k = 2\n", "v = 0\n", "for i_slope in range(L_slope):\n", " for i_shift in range(L_shift):\n", " b = slope_array[i_slope]\n", " c = shift_array[i_shift]\n", " g = b*(t) + c\n", " g_prime = b\n", " s = g_prime*signal_square(g) \n", " s = s/1\n", " noise = np.random.normal(0,0.02,N)\n", " I[k,v,:] = s + noise\n", " Ipos, Ineg, Imasspos, Imassneg = scdt.stransform(s+noise)\n", " Ipos_mass = np.array([Imasspos])\n", " Ineg_mass = np.array([Imassneg])\n", " Ipos_final = np.concatenate((Ipos,Ipos_mass),axis=0)\n", " Ineg_final = np.concatenate((Ineg,Ineg_mass),axis=0)\n", " Ihat[k,v,:]= np.concatenate((Ipos_final,Ineg_final),axis=0)\n", " #Ihat[k,v,:] = np.concatenate([Ipos,Ineg])\n", " v = v+1\n", " " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import random\n", "N_plots = 7\n", "\n", "index_array = np.zeros((3,N_plots),dtype=int)\n", "index_array[0,:] = random.sample(range(0, L_slope*L_shift), N_plots)\n", "index_array[1,:] = random.sample(range(0, L_slope*L_shift), N_plots)\n", "index_array[2,:] = random.sample(range(0, L_slope*L_shift), N_plots)\n", "\n", "## Plotting\n", "fig, axs = plt.subplots(N_plots, 3, sharex=True, sharey=True, figsize=(25,3*N_plots))\n", "color_array = ['b','r','k']\n", "for k in range(3):\n", " for p in range(N_plots):\n", " v = index_array[k,p]\n", " s = I[k,v,:]\n", " axs[p,k].plot(t,s,color_array[k])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Test accuracy in signal space: 0.32\n", "Test accuracy in transform space: 0.9988888888888889\n" ] }, { "data": { "image/png": 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ARYkTiYmJ8W6CoiiKoihKXGmDGE/URtL2FlD6MVBHUtQFMMnefnmNq3KjEStFiRM7tu+MdxMURVEURVHihmORXgcRRHXs96WNMIUzsCjO2CKWqLBSlDjRokWLeDdBURRFURQlboSySHciTKVhR5TTY40KK0WJE+vWrYt3ExRFURRFUeJGrCNMoQwsyrNuVTAqrBQlTvis4JJ1iqJUVfKAr4Gt8W6IoihKFSLWEaaVSJ2qiqpbFYyaVyhKnDj8sFb4fv4t3s1QFCUG7EhI4F1jSE5O4qacXL25KoqilIAFyJgqdzpgWSNMK6k4IRWMRqwUJU78+usf8W6CoigxonGjg7j6yoGkJCXxEPAQ8Eq8G6UoilLJiXeEKdaosFKUOFGjRo14N0FRlBjRuPFBPDlpHPffcyd1G9Tj4UfG8AcwFXge+CvO7VMURamsrAQeA+6zX6uqqAIVVoqiKIoSM4ZccwVb1v3CsOuv5eAmTWjc7ng2eAxTgY0EFq5UFEVRqhcqrBQlTuzevTveTVAUpRxZ/fMKPlnwLos/eptGBzfmeY+HmfFulKIoilJuqLBSlDhx+OGHxrsJiqKUI4mJiaSmptL55E4888REDj20Bb8DDwPjUAdBRVGU6oYKK0WJE7/+tireTVAUpYLoedZ/+PnbLxh6zVUk1apBk5YtmALMBT6Od+MURVEqEW2Am4B77Nc28W1OVKiwUpQ44TEm3k1QFKUCMcbw+GMPs2PzapYueIcCY/in0UF87vHwLrCbooUtFUVRDiTaIPbrdQBjv/ai6ogrFVaKEieaNWsW7yYoihInDj64Cd9mL2bZwvdo3+54vkpI4MmUZB5NSWZPvBunKIoSJ7oTWNMK+333OLSlNKiwUpQ4sWbNmng3QVGUOHLcscfQ+tCWfLbkQxa+P5/O//4XxhgeRWtgKYpyYFI7yumVDRVWihInatepFe8mKIpSCfB4PJza5WQ+eu91dmxeRVrtWqwyhjnAImBTnNunKIpSUeyIcnplwxvvBijKgcr+/fvj3QRFUSoZiYmJbN/0By9Om8E11w/nd2B5UhI35uQUSY9RFEWpDrRBUv1qA7lAPoECZR+wIMrt7LDXqehiwyqsFCVO5OboSApFUUIz8JK+7Nq1m8REL7eOvIdxSIpJY+DKOLdNURQlVjhmFU7HUToirHKANEoukIK345heUIJ1Y4kKK0WJA3/+uZFatWtRZ9v2eDdFUZRKSEJCAjdedzUANWvUYNzEJzj7zO48PPFxnkDcss4DmsazkYqiKGUklFmFF3FJva+M23FML1RYKUo15+i2ncjdnUOPeDdEUZRKz4CLMxlwcSYASz/9Hzt37uLHn37mZZ+P84FE4HBEbCmKolQlYmVWUVlML1RYKUocSEtPo87uHH0QUhQlKpZlvcfevXtZtXoNZ53Xlzc3bsLj8dA6bx8XxbtxiqIoUbIDSdsLNT0e2ykr6gqolJmNGw1dz6jFpk0qE0rKvjw1rlAUpXSkpKRw9FFHMnniWC7pexF3334rPwAPAX/Fu3GKoihRsICihdFLalZRHtspKxqxUsrM/WPT+ORTL6MfTOOpyTnxbk6VYNeuXdSIdyMURanSnNvzLM7teRaWZTFzzmukJCfz7Nff0hTpuT0/3g1UFEWJgDP+qSRufsW5/kWznfJEhZVSalLr1mPvXn+UasrUFKZMTSElxWLPtq1xbFnlp2OHE1n/v+x4N0NRlGqAMYbvVizjp59+5tj2Xahz7NF8+90PFFgWpyLOWunxbqSiKEoYVlK8AGoD9ECuZc5TZyTXv5pAb0RoVaTA0lRApdT88cM2Lu6bR1qqBUBaqsUl/fJY9eO2OLes8pO9fEW8m6AoSjXjqKOOZP1v37Is6z1O6XQSvyQlMjUxkcmJieyOd+MURVFKQBvgJuAe+/UsREClU9Sgx3H9c9brhQguAyTYr44Aa1PeDbdRYaWUmiZNLGrVtNibBykp8lqrpkXjxla8mxYV4yZMJmvx0oBpWYuXMm7C5HLbZ4JXg8WKosSeJk0ak56ezpIF77D+t5Wc3Kkj9evXYxLwCPByvBuoKIoShmBxVAc4iaI26m5q2+udX8xybgFW3qiwUsrE5i2Gawfl8fniHVw7KI9Nf1U9A4uOHdqROWBQobjKWryUzAGD6NihXbnts1XL5uW2bUVRFGMMDRs2YNGHb/Hdl0tJrVGDBs0OYUNSItOAVfFuoKIo1ZrgyFNJIkahalFFeqrMRcRYQoTlKsp2XbvNlTLx+ix/gsmTk6qmcUVG1y7Mmf4cmQMGMWTw5UyZ+hJzpj9HRtcu5bbP3377gybltnVFURQ/9erVY+eW1QAcfUInVq9dx1zj4Zo9e0gCUtAaWIqixA4n8uSIpEjjoRyiFT+OC2BxES2HirJd14iVoiDiasjgy7l/7ASGDL68XEUVQKNGB5Xr9hVFUULxTfYSPn7vdfLz83kcmAg8E+9GKYpSrQgVeSpJOl448RM8wMQCcoCvEEOLSFSk7boKK0VB0v+mTH2Ju0cOZ8rUl4qMuYo1u3brUHJFUSqepKQkTvn3v5g380UyM3vTr9+FbAYeAx5FUwQVRSk74SJPkSJS4WpRfQFsRwTVduB14AOgHeGj7ZZr+bepOFdATQVUDnicMVVO+l9G184B78uD3JzcCsv3VRRFCebcnj04t2cPAA455GDmzHuTtevWM8PnoxuQCLRHUwQVRYmeHUj6X6jpxVFcLar3g5a9ifApgPuoWDHlRiNWygFP9vKvAkSUM+Yqe/lX5bbPjh1OLLdtK4qiRMNDY+7hj59WsH3zH9Q/qCELvV6y0lJ5Nd4NUxSlShIu8uROxwtnbrESiaDfZ7+GE0fhOqct4ieqQCNWisKI4TcWmSaRq/IbZ5W9fIWaVyiKUqmoUaMG82a8yMLFSyjw+Rj9wHgeBC4HDo5z2xRFqToUF3mC0ptbuCkuKhYvUQUqrBQlLiQlJ0Hunng3Q1EUJYDOp3Si8ymdAPjww0X4LB/PL19BQ6AW0B9ND1QUJTIrCS9wijO3KKkoWkCgOIOKNakIh6YCKkocOLhx43g3QVEUpVg+W/IBM15+Bo/Xywmnn8avwKvAL8A/cW6boihVl5KYW0Sqg7USSflzm1rEMwXQQSNWihIHVq9Zq6mAiqJUelof2oqtG34lJSWFc/tcwtJPPmfe/n1YFtyQn0+teDdQUZQqRyRzi5KmChYXFYsXGrFSlDhwyMEqqxRFqRrUrFmTxMRE3n9zDksXvMMF5/akzTFHMQl4GJga7wYqilKliGRuUdo6WJUBFVaKEgf+2bo13k1QFEWJmnZtj2f29OeZ/uLT1KxVi5NP68zmhASeAX6Od+MURakSRErjKy5VMFRaYGVCUwEVJQ7s3ZsX7yYoiqKUmmOOOYrtm/8AoO2/TmPt2vW8npvDFfv2k4Sk7mjPraIo4XCn8bVBolG9kXTAXCA9xDqG0jkIViR63VOUOHAg1rFaBqwKmrbKnq4oStXly08X8P2KT/D5LF5JS+XZpCSmxLtRiqJUetoAtyGCqg5+4ZQM5BezXmVOC1RhpZSeWfPgiLaQ1lBeZ82Ld4uqDNnLV8S7CRXOwcA8/OJqlf1e6+MoStUmISGBJk0a8+E7c3ng3js4o3tX/gbGA48gLoKKoihuHIOKdIqWcPACefhTBUNRm8qZEqjCSikds+bBdTfDuvVgWfJ63c0qrkpISkpyvJtQ4bQC+iBiKst+7WNPVxSl6pPRtQs33TCEt1+fyYfvzqVGo4b4UpKZC7wLfEz4hyRFUQ4sQhlUuEkDHsPvFBiMQYRZacRVJCv3sqDCSikdo8YULXCbu0emKxGpX69evJsQF1oBHYAl9quKKkWpnpzRLYNNq39kz7Y/SatZg6+9Xr6pUYMXEfev4tJ8FEWp/oQzqHDwIYInkfAdMqVJCXQiZe7Uw9IKtFCoeYVSOtb/Gd10JYA/N2w8IOtYrQKWA6fary2JnbhyBr/WRnq4FlA5B7YqyoHGp4s+4KtvVvLNyu8Z/+gTTAAKgMFAozi3TVGU+BCulpWDh8BaVuGIJNCCKc7KPRbPDBqxUkpH00Oim64E0LJF83g3ocJxxlT1ATLwpwUGG1qUhvLugVIUpfQce8xRDOh/EY88eC/9M3vzzNTHMQkJPAs8j6YHKsqBSKhaVm58RBZVED5VMBzFWbnHAhVWSukYfRekpQZOS0uV6UpENmzaFO8mVDgbCBxT5Yy52hCDbVflYoKKciAx4+VnuXxAf379PptuGV1Zj4irbGB9nNumKErF4dSyyqFo54pFyQSKRej6ecWNoQonxKIVaOFQYaWUmHETJpO1eKm86dcHnnyUrIYNGAfQrCk8+ahMr0Zs3GjoekYtNm0K9qwpG/vyiuunqZ6cQtG0v1b2dCjbYNLy7oFSFCW2tGzRnP++M5dBVwxkV62afOj18rLXy7Z4N0xRlApjJfABUrfKwi+wDEWdAh3cIswA7Ql8XoiUwRIqUrbPnh4LVFgpJaZjh3ZkDhhUKK6ymjQi07Lo+MF8+OXraieqAO4fm8Ynn3oZ/WBaTLfr1LHS2k5CWVP5yrsHSlGU2OPxeJj61ETmz57GzTcMoeOJbXkcGAs8Fe/GKYpS7gRbrpekCzuUNXsP1/tIGSxOpMyxct9uv4/VmGw1r1BKTEbXLsyZ/hyZAwYxZPDlTJn6EnOmP0dG1y7xblrMSa1bj717/T/fKVNTmDI1hZQUiz3btpZ5+9nLV9AEf20nJ0XOPQ7pQKKsg0kXUHSQayx7oBRFKT+6ndaFbqd14csVX3P2Bf258tKLeXjiZB63LJKRqPax8W6koigxJ5Lleklxd32XJINlJeVnbqURKyUqMrp2Ycjgy7l/7ASGDL68eokqV8HjXfWa80Snl0lLlaBzWqrFJf3yWPVjbBJV0tLlMlCW2k7VKdpV1lS+8u6BUhSl/Gl/Yls2r/mRsWPu5qT27TjoqCPYmpzEa8BvqEW7olQ3Ypmu72S4xDuDRYWVEhVZi5cyZepL3D1yOFOmvuQfc1XVCSp47N2wnkHZQzl/zwxSUiz25kFCgkXfS2uWabyVM06tZo0aAdMbEX1tJyfa5YgrJ9p1cKlbFzuiFX2xuBCuRIoJ3me/qqhSlKrLZ0v+y4pPF/DzN/+jZasWzPZ6eTLejVIUJabESuwY4DxEXJX3GKpIqLBSSkzW4qVkDhjEnOnPMXrUyMK0wGohrkIUPE4uyGVyjZF8vngH1w7KY+kyb5nHWznj1DZu2gyI2JiNOOM5tZ1Kaj8eLtq1IcQ2KjqSFa3oi/eFUFGUyoUxhtTUVFq0aMYfP3xJ1y7/ZgfwEDIG6/s4t09RlOJpA9yGGFLdY/8fPG461L2/tOUXvPiHD8Qzg8VYVskPoUP7ttbyZfqoc6AybsJkOnZoF5D+l7V4KdnLv2LE8Bvj2LIYkNYQQv0WjCE1uSBgvJVDacdbZS1eyhk9+5BeUECePa0vRcdYbUCEiDuCtcqefop7e0i061SkPpR7G8HbPBfIwEMdLLZjyMJXbhcbZ78dEMEYKcVRC/xWLu6DLy3L6hDvdlQV9P5Y/qxZu5a2J2WQmORl25Z/OBRIBs5He4kVpTLRBokgBRs55ANfAkfiv9f/DByHjJMqq/+yZW+zIp4jwt0j9VqklJgRw28sMqYqo2uXChdVAbbvNlmLl3L2+X1DTh83YXLkjRZT8PiPH7bxRKeXWWNaUICHNaYFT3R6udTjrZxzuBMRTo6o2kVjFrOIntQtFFWRoj6rENHijnaFi2Sdixg81MOHB4t6+Mq1iG4rRFSVNMVRU/kURSmOFs2bs23T7/y19me8KcmsT0vlt5QUnkMeonLj3UBFUQDpJA3ljucFTiLQAbidPS9WRW1K6y4cK1RYKVWOIrbvdori6d26hpzesUO74jYnFFPwuMniuQzKHkpzay0eLJpbaxm0fCiNF80tVfuzFi+loKCAWsBm1/Ql3M1aOrOKMYU1n4oztnBHojJcyzriKljUdKBZSOe9DjQr1XFEIpToUxRFiQW/rvyCpR+/y41DB7PZ42FqejqPer1aZFhRKgHFmVIEC6gkAl39SosVZtvdQyxbnqjdulIm4pEeWJzte7sT2pTIDn7jRrmgkFUAACAASURBVEO/gTWZ/couGje2/DW4Ro2B9X9KBGv0XTL9iLYkFwT2hSbn58qyJa3dNWsejBpD1rr1ZHo8XHpwYxZt2EQGMI0GwBxEHsFyhrKcoXjZw52kFQqkUwmM+mwgUGg5QmyD/d4taloCzVkXsmnhppeF4HTElkTneKgoilIcTZseQtOmh3Biu+M5pGkTtm7dxkPjJvESUA8YQux6wBVFiY4dSMSorLgLBhc3vzhi6TxYEjRipZSJcNGjEkWJXPbmHNFW3peQcLbvJbWDD1n4t18fKXScuyWw4PH6P0M3IsT0jRsNXc+oFegc6HIczAbm+HxM2bCJ83DEUAGNeBYvOQB4yaEN0xlGq2KjPk5Uy00roDPwLjJY801gBCJq3gl9FOViQRpJ9MWD6mRPryiKnxuGXM09d/4f2zb/QbsT27IFeBr4EPglzm1TlAORBYQujxBOCIWbHqlosAn6C0VF2aw7qLBSyoQ7ejRq9NhC18CI9a2C7M1Zt17el1BchbN9j2QHn1q3Hia1PlOmpuDzGaZMTcGk1ie1br3wOws3/qpunSLCMKRgczkOjkDiUunA/9mzj2UbTTmVAlLwsocCUkhmJ1vYHDbVLxxtgERgLtAN6TEaCTwCfEvRi5eFDByNNeFE3ykhli0JsRBFldmeXlGUspOSkkL2so958rGH2VuzJtneBF5LSmQzUEDp3cYURYmOlUjHbg7yu7Ps/78gtOAqr+hysLtwG+AmxKXwJspn/JUKK6XMZGzczJB9+yRKtG8fGRs3R15p1BjG5e4hyz0tdw9ZI+6KaDYRzvZ94uSnCqfXSE9n5G3DikTThg+7j4v75kVV+Hdcp45kJQeOTspKSGDcjp0BwjDnilvYPvW1ooItTMTL/UCfw0G052muohPteZrdNCpV1Kc7cAdOUqHwGHAUcCf+i1cWMM5+34gWPBBm2PcuGvMSi9hNo2L2Wv7EQhSVpRizoihVh6HXXMVrs17k8YkPcfihrXgGud49Fu+GKcoBxn77dQfwAfA+FLohu4m1sLKQzpRE5Lmojf3Xi/I3t1BhpZSNWfPIuvZGpuzcxd3AlJ27yLr2xsiRp/V/0hHIhEJxlQVkbvk7Yhph9vKvAqJiTtTs44WLC6d37NCOsY9MYuRtw8he/lWhGOue0ZZaNaXgr1P4t1ZNS8ZZhaHjVQPJTEwiq2EDMIashg3I9PnoWFAQsFw6uTxk7gCCBFuYiNc6GhUKlr70oSfX05hv6cn19KVPqaI+oXKJOyLOgwHn2Z4O0Jw1DAsjLxxDjcWMKmavQqSoUll6imIliqJ1KlQUpWpyerfTuHbwFcx65XlatmzB/Pkz2Qk8CjyOWD4rilI+FCdiwhlVxDqinBC07x4Q0sAr1uYWWsdKKRNZzY8ic8vfhdYLzkP7nIYNyFj7U/gVj2gL69YXLj8EmALM8XjIsKxA84jSts0WU24ji6OOOJU2Hetwzln7uPmGvTz7fAobNxten7U7um39/U9AVMjBhyE9pYDee2cwucZI6uesl5TB3Tmwz18GL5ckBvEcv7KLnlxX6mMM5iZCDxgtcp7xR7U2UpdnCIzYjSGXAoJcEqHQUCMUkepn9SLwomYh9sgfUHJr9eCaXdESbW2tAxmtYxUden+s/Jx+dm8SvV4+zlpCfn4+5yAPesEPW4qilI1wzyLb7ddQ83KQCJfTQVweUaxQ27SQMi/RonWslHIh2yWqsF/n2NOLxbY3z0Ae9u+3XzN8vlKNuQpFKCOL+8emsW2bIS0VTji+gCcn5UQUVSG31axpyOW21WjKTyOf4wXv1dTfvU6OZes2ea1fDx+G1bRgEC8wk40s52juwypMxXNHeEozrihcFfMi59met4dEJnBpke0cy2zgYeAjwG+ocQGHhN1/cVGl7hR9eDHIWLNewO9EPtay2rcXZ0+vKEr15+P3XufdN2axZd3PdPpXR95P8PBEvBulKNWQcE58tQn9nLIP6WR1uqZKIqp8yPON8xopTFRR5hYqrJQyMaJZ0yKRgwx7erH06wNPPkpWwwZMAe42hilQZMwVo8aUuC3BhYOzFi/lkYlPcGLbNtw/9mVM6re2acUipkydHNm0wkURU4z+F4Wse1X/8Ttp8dxosWN3s38/pKWx+Y+/ae1ZwEwuBjsZshV3FDoAuscNlWZc0UrEDXA7cpHZjgwWfY8kOc9IxGohsIX6XM0z1MA/pu0BcrkPi2+5HCnjdwEwkXzSyGM577IND+HFXbhUu+LsTpOQaFpxxxoLUVQZnQoVRalYPB4PderUZvrzT3Hh+b3IBR60/76Jc9sUpboQTqzkIh2tifgNZbYjzy0rkXS9kogqC/jD3l4kV8DiCDa3iAUqrJSyUUxh3UhkNWlEpmUx54P5jEYiXe4xV0B4q3MXjsV560NPLDSryFq8lPMzLyPBm8Bvf6zhnjuGkZycSaJ3ApBJclKHiKYVhe0MZZbxwjSyrr8WmjXFMoZNyc3Z/sBjIhjDtNm37k8OPrQePl9rwNCfDcwggV2MZT97eIPQD/4lHVfkRLg+pTFtWcRtNGIYMBToTRKTacS9GCbTiLOpyUHMZSb9A7ZxI4dyHK/a1u8ZyIioW6nLKfzOi3QGPiG8uAsXVYrUI3ROhGONhSiKtVOhoihVl9atWzF7+vO88OwT1G3YgGOOP463gOeBV5CHPkVRSkeoqFQ+kIx/3FUCkvq3AP9wgJIWCjZAayTrpbQpgxZ+QRdLVFgpZcOOPNGsKRgjr08+WqKxUQEmFE0P8acRuhcKZ3XuwrE4X5B1JnOuHEjm2RfyQI8LMLt28fZ11/DGnJd58tnHaNHsP+zPH0Vi4mz252dENK1wt3PKpOe5d0xPNm0yhWYZ2bVqwi9fc92gXA7Zv5o7fhhYbJt9Bx/CBefmAT768ypTuZr+bGYIMJmdXI+MRXITyWzB7dp3MDAXw1NM4mTW0okc3rOXa8/JDGUZCRRwMZvI4x683MtNtAzY3m4O4gf6kE8qXvZwMY25EC/b+IyT2MnnhBd3xUWVQl1k3eyIcKwqihRFKQ8GXtqPzWt/YsVnC0lKTmZ/o4NYl5jIFOBPYGu8G6goVZBQ2TN5gDdoubKYR5R1DNYO/KIqljbsKqyUshOusG4ERgy/0V/vyjXmaoSzQFqqWJ0H1aLKWryUcRMmc1nND1id2p4npqbxu68V5009h67jHmOIz8cC4EbLIuOJp8UOfvDl/PLbDDqcOIzsT07k2kF5bPrL/lmGKVRcmFr4zUq8Vw0m65NkPj/6KMYNHAzAnfemBdXEmoxJ/ZbLNj5UGMVzbM1JS8V7zhm0+aARH5PANC4jnVyygEnIheVZoIC6hU6BbYD2wA/AbcDXyIXKnf62hLtZw35m8W+mM4Y9jMdiEM25kiHsZiQiUn7mQzoyBQAP/wUeIpnB1CDQGn8+0/GRRApbeZojuZQrWMx+ugCfIZGlYPHnXJCOAWa55rujSs5F1qlp4cYJxZd1DJWiKEpp8Xg8bFrzIyuzl3D7rcPYkZDAqykpPJWQwJp4N05RqiArkRIH99mv4aJR7qECoQu/xB53CuBZQG9iZ8MeLB4VJT44YmzUGEmls10BOzZpFFB0uDAt78qB3Jo4GE++FN5tyRpasIZFEDCWKCN3D1w1lClpafb4qGfZuu0knpxkC7pZ8/ANvRnPHtmOY5qxbbvh1VmdGXXXhdzDXgaznz+AsXu3cMvcdzhr7sfMfPUV5r+VxxtvJZG7xwAdSPBkcu605yDvUbJG3CWOiQ0bwAW9YPosTtu3R1wT7UST85Ef8p32achkG/UYxoNMoiZwCX4Hv9OREU/fA/t5Hx89cPz+/mRO4RbOxsfD5HMGMNZevx9wHhOBr/HxDUdwMR6X6999+HD3/+ylAWns41IKGGlvpx0wExFQDgYpMHwh/oLHTmRqJSKuWrner0QuVt2Ri+kO5OL2FoHpfy3ROlOKolQstWvXAmD0qNu5uG9vnp76Mq/MmM0r27aTiKQdXUf5FTNVlOpMLvIbCsY9VOAD5DmnPKM+FvAV/ueRkyj6m3YiaaVJE1S7dSV6Zs0rIoDKYoseiVC26RmDbxAR5F4O2+odv/X7BciP6I3kJDKenizjulxCjUMOF9e+IP6p0YyDctfwVkIdLt+/k7OA6cAApMDdzAYNOH3dT3hr1KOgwP+T7MadfM1DDMXH0x4Pc24dRsZ9dxbaywNcA8zGb/k93143G2hGIy7mFlbxFHNYQ0cCbcXfBu4FvgWO4Ag28Rtz8HEYzRhCL95nNYb3OA65IAwBnrLPxTnIhe1WJIq2DQ/3MpIknmMXjZjNG+ygJXKJsXgID4n4xRn2Nnz2eQZ4F5hLUevz7URXjHMZMm7LLaJWIdEuTfeLD2q3Hh16f6y+HH5sB/76+28SPAmY7TvojHQ0KYpSMtoA51E0mlMAvEFgSl5vyr/zwnlGCWcLD5Ft2NVu/QAj2CEP/Cl0ZWLWPLFBX7c+ZrbokQhlmx7KICIbili/90WiNRl5++CKa8kYfANzrhxI9vKvuKzmB1ghRBVA3d3rmeS7jrP372QIMpi5s/06BDj9b7GT/8/p+zm8dT4pyRb9eZW3eIx2+BgDtPP5yHjiaSmivG49vYCz7fY4YWgnbS4TOI5knuMqwKI5axlBUcHSE8O35HIy8AO/0BMf3YE/WMdCniKBjzmfNFYiaYRT7NcL7PW7AS8Bi4B6+BjHOFLoQRO+JZEceynpbLmYJuS7zmkG8A7Sk/M2Ig7d57sw7ZHiXQBDcS2SEunOb9YxVIqiVAZ+/X45Ozavpvd5PdlmDB+mJPMHsBs1uVCUktCd0ClywSKkOxUTEa4d9BqK0tqwq7CqpnTs0K7QIQ/8UZ+OHcrYzzZqjNigu4nSFj1ailidL14a0iDCESLj8DsLPmP/ZSGiJmvdero+/jR7p7VmaoPbWYRfDLjZSl2G8nRhauGliBvepfb7LIDUBrz3Q2tubzadffthLHfwBbksR6xEPwKG5u4h64pr6YVEd063t2/Zy7yC5PJOphF3cSELeQw4id1B2cjjkEjXeyRxFsfwPXC4vf7hiDA7A0hkH++Sy8HAl4jrzgpgD3KxOoxA98UU9jOMd7gPi785loZ8Rx8yach33MMd3ESguOuCCMttyMVjr/MZ2dvsaL/3EXkQqONi6FRofxZ41H518psj1e0Kxm3mEY7S1AdTFEWZOmUSH7/7Gg3q12NGQgJTa9Xk2YYN4t0sRan0hBMwBrFYd8ZqR9spW1p2BL0GY1F6G3YVVtUUx7kuc8AgRo0eG5j+VhbC2Z+XwBa9NIS0Oh8wSOpIJQWXnBWkOpRfXF2DjGU63Z6+eM8eDv/lNq7ftD5ADDhIoTnDYiwygZFI+t94+3Wke/vr1nPx0ut4ruvL/M5aMpHUvv8CKYgIOx1JwRuPpI9kAg8gwgrE0OFmGvAVM5ESvl1JJ1C8dkQiRL3J4222MBK/1fhvQF1EAO1FomHH2vMKgEb2NAs4En9kz3FfbMA/tGE6w2nCUI7nWOYxlONpzg0Brj45SKTreWQMWyJwMXAHJiAF00IEXaRBoE6driT7z4ukKXpd0yLV7QpmCXezls4sZlTYZUpTH0xRFMUYQ7eMU8n675sc3+ZYZk+byl9b/mY8MAH4NN4NVJRKSnHRnzQkTdAxj4gVznNLftB0t3FFKMdiC6n/WVobdhVWVYTSpPaFTKErK+Hsz0tgi14aAizZIdDqvEaoYZAU2rZnAqMQpzrnhzMHSYu7ir+YgeTyBqfb7UqsTwO2FgoQJx3ulqD3jjBJKcjl0p/vZmFCnYC0udvs+T4kjfAW/KKmHSIg0pAf4Wa+pyUns4pJFODFg6/IMc0vfJfDSOTHn2JP+RWJ2KUhUbWP8Au3zYhIybfPhzNuawT+9L3v6M83bC4SyXkLuAjJM14I9LfbPxrJi94HjMViACmchgi5cINAA84xjVnMInpSlyvtdo1FxOdY+/2VlNy8wilsvJyhWCSwnKHch8UDITyGWtnH/q7d3nft92qSoShKSTis9aGs+GwhPc48nauvGkjXHmeQl5jIx8g1dTHFl5dQlAONBRR1BHYwlMxJzypmG+F4BHiTQNt3d+2qULbwryOd6KVFhVUVoTSpfSFT6MpKGQoCl4YAS3aAWfPIGHwDI+6+P6TphEMGkrJ2PzAMiRDdCryI3PD2IIKnH/40uyyAtFRqPfsA1yYnsgQRQk6KYVbQe8cWfhywZMN6Ghf0p6stKyYCD9nzvUga4UTXOpmIMLnQbocX2MoyVrEWDxY97eXdfAU0t//fbx9HMiKkQETCKcgFoTsiaBJd8zz4e26y7GPOBI6gFl5ywkZy6lCXl1jEDwSOqcLeRzfgMWrgYSEmTH9TcHjfiSytYgwDSOF+5PO6Bf/ndgV+sRMpfS+wsDF4yaEN0xkWQi61QaKOQ4Ex9utIyla3QlGUA5NnnpjIu/NnkvPPWjqf3IllCQl8kZrCM/FumKJUIlYiUaBohVEw0US0nChZsO17cCQq0vxoUbv1KoI7tS/AHS9MFMqdQpfRtQsZXTvHJh0wjC16eboCgkTsOu7cJWYQ9hgvt9AJwBiyLCvAdn0O4uj3CvKlT0VEAcDvwKvALGN4o1tXGHYb0/L2sRcRDc6+nHS3YDoiUZ1pvIAHi4nAcHveBCQ61QsRduCPeH2FOA1eikSGurj2cXrQ8quBpwEPHkRO7SUfi8PsdRORC9ZHiHPfLciYsv2IOFmFCKuHkLTIfPs8zAee4yn2U4tpWMBC5tG90LGwD/ADY1hLZwZSlyZsCzgf84HjqM/HeLiRbizEP45sHP7omHOBu5/38fEtImdgOUezkkT+j3ymkE8d+/O6A3jCbmsr/Ol7TgTLXYwYoCabSGYnBaTgZQ8FpJDMziJ1ukBE5zKCbPkpvbWqoihKYmIiLz47mbfe/S9HHXEYZ1/QnweA/1A03VxRDkTeB44jtOV6SYhGVLnT/SoajVhVIaJJ7QubQrf8q7I3pJQFgctCxw7tyBw/iSyXqAo1PsqXmkpWzzPJ9HgkZa1ZU+a0PZ7zkfCuFxEVnRFRkImMOwLYY1n0fOcDztq5izwkcuKkpbnHEAWTAczCcBl5jLKXb4g/ApOBhJpPQowZHCE4Ckl9m2a35XMkcpJtrzceEVfTkYd/L1BADeByQH68XyLjt850tSfL3s5e4CgkFfAwRGQ9bR9/LpLTvIhUZnIJTpD9GP6iA7AE2MPtTHOl1w3ncXJsUw0npfFkkqjJTvrzF3MQowynR8oZ6/Yh/gLAyZxNS3bYkSX5FPN4jbW8xDXU5lYkwngiIqqcCJpTbHievVaoGlc5HER7nuYqOtGep8MaWKzA/3mOxp82uiLk0ooSX8rN4VWJOa1bH8rNNw7hrB5nkNnnPHr1Opv3gSeRa3/wWA9FOdD4gNBjmmKFhWToOHWq4oEKqypENKl9RVLoEHE1YviN5d3MciGjaxfm+HyF46Z6AZ3seRbgw/BGSkOGnNSeR/bvZ857r5Gx52+Jpv34EwZohoxBOgOJ7MxFHqp/RkSLB0kRzEOiW0/hT0sbAnTFcDZFU/QmAhOxCpe9BTGamIZErJyLxu/A1UgkJxsRW7fgdyV0xm85Y58cAbgSaIwYQsC/EHk0njYkUQcRTHn28olI2t2XyPirDUAn7qA5d+BFxmLlI1Gy6UBt9rCKlvRnBmD4gUYsoQGG20nhYVpyZ2F63VzOZzQD2YqHWzG05mBySCKF/fIZ2W03yIXtNOAFJJo3GRFDF2FRn6YUkIKHT+0z1Z259OYBbucQerMYf3HhPvhNOlpBoejrQNExUX3pQ0+upzHf0pPr6Utowb+Uorb8c+zpilLZKDeHV6Vcmf3K88yY9iypqSm0aHcCf3k8PIEUeF8X78YpSpxYiYget5iKpWGFQZ6V2hG/9H4VVlWEsO54sRg3FSPKs2d140ZDO2/9QvHSG3nAvgBYkF6T3ue8z0X5ecz++ltuu/l6v6gcNYbsvH2MAv5GxjV9iAilKciYq9chwEPOiwx2nEhgutjC9HROr12LW/GLq4lIVKll0LIg0ZDbgH9xRKG74FgkkuOuUeVEdnz4RZWTZvcJkiK4GRFZ8BHH4qU/jajPrXjxC8UzEJG1ARFYA+3jfZ7pLCwcdSX7mYPUjnoIWMUapnMp4zGk0p07acbfjOMdLP7iQdowGCggnxQW0oab8XEmFi+wgbrsDvl5eezz+iXQlkAx5ESWBjOHOrSgDqu4ik50oCY1uDigdpW7ltUqJD2xFfA/AsdcvW3/uQlnod4DEX1uTkFSFBSlslFuDq9KuZOSksLWjb+zLOs9xt5/F3nJybyVlMRLHg+/xrtxihInjqT8a1WFMs0qC44dfKQyMqDCqspQrql9MaI8e1bvH5tGVv6+QvHyPvIFt4Dzcnbx4Ts9SM/fyfykJDI2usbVrP+TERBQ6BYkGuWMuToLEVb7kEhOuv3/cEQMOeli/XJyaHfNVYxP9HIr8oA/HImezXVtv5M9rS3QrebhZPMLhiN5AA+zKPpQnwHMwMP5pDCcVDKRKM//kAjbfYgI+hgRTOvYzwCuohHH0IWT+RgRX24nQINdGBn4nbV4OY90TuV4/OkoM/CnHi7G4h5gDBb38xX18NENEbHfMZP7qEkBiRzDMN5AxIlBUgrdhYEdjH0ODCKGTrVfVxEYWRrGYQzjsIhRJveYKudxcrY9fRXSC/w9kS3U2yA9We6LukV80wYUJRLl4vCqVAjJyckkJydz2y03snPLaq4dNFCs2pGOtseIbSqUolR2KqpWVaz249TadOzgnTIyDaBeqOWNZZX8J92hfVtr+bJ4DQdTqgKOmCqJwUZJSKlTj7w8A2TRgG6F4sWJ6pyFiCMQwTUaxKXwyUehXx/yW7fFu2F90XYiP4zeiCgqQKI37RB79mnACfZ8Z0zUQuBM70NclN+UP7ic/5FPAhLhehBJKXwVES5X2tuciWEXLYDV1KUFf9uuf8FYQBvO53veoDuwC+hrt+cC/C6GJ9rtzASuoS4PsI/GtGIT35GIRKzOQNLaknFqatUhl1M5l3foj49rkdS8U5FxXU70LtQYsnH4jTMGIEYZe5GLy0CkOPHD9nnqZ6/jGIpMtD+TUIYT0VqbL0NEkrPeKkRYHYxE8xw5Ng8CjDeC93MTclEMZjvygKP4uQ++tCyrQ7zbUVUoz/tjrK+rSvxpcfgJ+CwfO3fshN05nAQB0XpFqa6Euw8HPxmFimpFk0IYq/t6uPaeAPu+sazk4OkasVJiSqx7Vnv1zAMsjPmCyTQKGBczEhEDaYjL32Rsy/TcPXDrHXBEWxI2rC/yY70GESv/RxrvIy52SfjFWj/gPQJFFcDRSc3xeEawmPH8j3y64K/bNBIpnJuDGEnMQMYw+bCAjYCXbazhsTB9k4uAzbzBXYgo+AkRVRlAaySC1h+JYjljglawDRjIJr7nUAz7gXMREfIAcgF6hQQyaM/5vEV/fMxBolBvIKLqLPxjyEIZc3REhOfpiIBtbrelABE3I5BxYn0RoXq2vU4WfqHbCunxmYSk6x1K9LnPpxAokloho81W4U8xjDQGC8L3YFVUD5qiRJsyXRXSwJXoWfPrN6z7bSX9+/dhb1IiS5OT+QH4C+xRq4pSPQlXlDcXGYsO4UWTcf0VRyxdAcM9HyT6zaUDUGGlhKU0Y6airp01ax4c0RbSGsrrrHkApNath0mtz7zXUwCDZf0fbzOh0JUuC0mRSwHeQYq8WohgygKsf7bCuvWFP8BgOWMBi7iJ47mDpcgP+gP8UZtsJFJztr18Hkl8vm8bZ+zzsIGvSbf3PwGJ4Dhi4wxEPBxkbzPPXhseYjwiNrKCzxki6GYjIme+3ebzgfaIW92lSPpjFn6b+UOARF5iNMmsw6K9ve9uiNjpAiykPt1ZxHL8VvHj8AvT15E85ElB7coKWu5jxPxjJSKy+iGph6cjkakX7eNNcB3PO8BVBIbRuyEiuCaB4irceCgIXcPqM/vPnWLojMFyTwsmXPX3cNOjyatWlJIQbcp0VUgDV0rP05Mn8OvKbGqkpzHf6+WV9HSm1K2t6YFKtcUpypuD/9nMIMMwWlP28VcW0jnRm9jct8M9H+wPUwdchZUSlmgfAKLpWd240TD6hHfxDb0Z1q0Hy5LXK4cwrmsPCgqKyo+Z/MnVPMtfqc3JBvqlpzG/Zg0yEAHwBhI5yUZ+mOPwiwVTuBWJmIxsfA4LeZaliR52k4SFpPDNtZdbjaTHJSKpbsvYx9XsYgsipt5GxMPXru0nIiLgdMR9r7a9zbYJiVw24DoyPc0ZgKQaupmFXACcmlkZiLiqgYiqZKRY7hwCo0IeIJU9nMJe+iFGEV4kPS4LSQfcyhaWUBBQmNiJKI1FUvvusNt/FiKSFrqWc9L5TkecrNogIus1ROx9jDgWTkdSBW/BHwE7Dekx8ttmCB2BS1zTVgEzKXoxcsRWcOHizxADEudz74OI0tn2/8409zoOoXrKwvVshcurVnGllIVozSiqm8OrUpTmzZvy1eeLuKRfHx558D62bdvBOOQetjDejVOUcsAZ0xwsomJlapFO7O7b4Z4bNsCfoZbXMVZKsUST2z9uwmQ6dmgXMD9r8VKyl39V5CFg6I3p/N/UI2nB2qL7BC5Kr0Fy7fls2NAdSZTL5JCDZ7J82Yk0buz6zs6aB9fdXFg0OHg77vpT7vfHUZ+DGIrIgDSO5T/8zhvsRX6A3yE/xrcRwfA+RccgDUTS45KQaNcK/EV93UV5ayKRoTbUYyVb6RumTc62xyEC6Q77fQJygTgSMVnoid8BLwuJ0u1DxmDtC2qvhYjN4HFU7uK9znZ62et7EDH1b3taNyT6dCISpnfGWL2HpBwusM/ZWnt/w+x9zUbS8u6h6MXSOe5jkOhSZ8QBMdx4LOd9B0RYZdjtc3DORy/XtFWIK3yg2gAAIABJREFUQ2LwuIXf7X2fg/RELUAEZvCyJR2PFTz+q7h9VyV0jFV0RHt/HDV6LPePncDdI4czetTIiMtHc31VqjYvTpvBtFdn80X2l+zds5fjkPvAf5AsDUWp6rRBOpTL2x3QIQd4pAzrt0E6iWvjf27oE+YeqRErpViiGTMVsmd142ZGPPNCYarfZTU/wKTWZ8rUFJqFqeaRAcxNS2HTpv74y/POJikpI1BUgRQnfvJRaNYUHyYgfSID+eGeT2CRX4A7+YdExgNpeIyXK8ZeyYschAfpSWkKfIrfOTB4DFIWErVph6S2WcCh1CId+VGtQsSRBVyMiJvv2Mpp+AvShis87EUE2oOIQDLIRWGF3Z5gW/F9iLnFCAKdDrOR+l4n4I8igV9UZQedq1uQ8LkF3ItExvbwEO9hSEEKFvdFbuyX29tbiKQ/OvWxDP4xYJn2eQgVRs9AonBL7P3Mto/rXcTdL9jkwj1+6t8EiioQQdUraJrbqt2dTuhBUhl7IO6LbxHaQbCk47GCI2rhHAkVxSHqlGm0ntWBxBUDLybrv2+yc8sajjv2KH7welldtw5PIR1bilLVCE6r70nFiSqQsfhliVqtRDpU77Nfi3MRVmGlFEtpHgAKcaJJrlS/FxMH80Snl0lLtVhL87CrZvz9D4cfNhgYw9VXXsHQq0+m7Qlh6tb360PqlrUk4GMNLQJnIQ/8bmFxAU7amAdj3uacs+fw4CNXcF9CG3zIg/M6oAUibJzaVE5aoRNtGYCkBc4HMjEMogGnun5SIxGb9GeQB/hs5Ad3GsWbRuQjImasvS9nIHNL/OOsHGYhEbO7kXFSbyEpeq8DBSTSB4vPEfE30T52L/5UP4cs/HW4vHYbCoCm3E0yFo7tzTOIIHwJSZccj6TlDUR6VEfZx3kKcAMStfmZomPcFgKPI+OhFiGRuG6IyJpnvwZHgCKNnyoOt/hphUTIPkQGiodzKizpeCynkPE85DyW1vlQOTAorRmF1rM68EhISOCDt+cx8+Vnmf3KVHYh95xP4t0wRYmCUGn1Raz0yhlDbOtaFYcKKyUsZXajGjWmSIqeZ88e+n13N3vz4B7vA/jC9FlkNajPP1uf5e6Rw3n9rRfo0/sDXp+1m40bDV3PqMWmTYHr/fHDNg5vnc8dPMAYEgPEhxd56H8QERZ9kfFYg8ihU8fPSPCeRpODLuSnggWcW+doEhHTiC+Bk/HXsRKLcxEzcxDRlgl8TiJ1OI2tHM37+AqFzmTEfv0a4GX8QuZRZEzSpYjYcYoNgz8NMB8KiyHvQyJjuxGxlonfxOJ1RNhlIBeOvcBWYASpjKLANs+QCFwOYjBxJ4FRsuB0RC+QRAIJSM2s4TjiUYTTWERIvYdEuUAE1xt2u29Dok8WIrCCiwFm2Z/BXUh0yjmmoa7zkkXRCFCk8VPFESx+PgGOB74lvINgNOOxSuJIqChQNjMKrWd14NGkSWP69D6XM7pnMOTqy7nkkr4sQHrNH0cdBJXKT/A4a6jYaJVDRbn/qrBSwlJmN6r1Icf1UXf3eq4dlMcty3oy5KCORR5UJyZ6OWfHzpCC7v6xaXzyqZfRD6YVLp9atx7DD32fD38/jOlcyrF2kd2JyAP7PYiwKkCEhVNvqa/HwxdfpjD/zUl8/9M6YAhvbV/LDaSRiViXv29vJxv/mKXXgO3UoiuGa6jLHeTzO4cgj+vphRcQC7l4XISMUcpEBMmtSKRnGiLabsUvrpw0wNVIBCrBnj7A3v9Y/EV9nTY5LoavI4LuAzzcQxInYChAxMCvyMP+fmRckztK5mwHu40P0IwHKQAkfO54QDpCbwgipE4L+twykHTEHfjD5MuQFEY3jlnHHa5jaodEzJzzMge/eNpgb3cS8llOst9/SlFxVZy7oFv8HAb8RvERMMe5aDvyWW6334dKAShrRE05cCiLGUWZMgiUKs9Tk8bz7FOPUqtWTXoP7M9W5Hr4KZIZoCiVkcpSziRcFkqsUfMKpfw4oq2kAQbTrCn88jXjJkzGm+hl7P3jmJOaQsbf/zCxVk1u353DQw/ewy03DgXEQfCQQ7/GYjmBlaUgJcViw9ipJN18M+nkFk6/GhlrdBHwJiJwDkOiUIcD24C6qSfwe94qTu40hxVf/YfD91zMcbzNG+TwNiIUHFe8AYggywBmchAX46Mu6eSyhouQSEsjjmUzV3Iyd/Ipe7kUGUfkFMx1zC4uRcQD+AvwvgwMR8TFyUhK34lIROVs5MbZG4n+ZCEi8T381usA35ME7COLe1nHeJLZzT5EFDRBqmmdgaTdjUSiSyPwp+ndSxqv8i+uZREPYxWKrQlIlCYZuNFu40wkdS+4Z6YAiVw54mMVMm5qLkXNOlrRAoOP51nH/UHnZTtigrEBSafsRWCP1z5EkI2j5AWInfmH2ef1P8hYrbIULnZvNxaFkCsTal4RHeV9f3RnEGR07VLkvXLg8cxzLzFy1APs2rULn89HH5+Po+PdKEUJIpwRVEVi/T975x1f0/3/8eedmQhBbEGMqhWrKCJG1d6xS39FqbZaoy2Kokqtttoa1X6rRc3aqmpExCa1V8WKGTOykzvO74/PnRmSmx3O8/HIQ+7Nued87pXce17n9X6/3sAxxMXyrCK1z0jZsZJ5PqnMmUoX0z4HVxf7+1xdxP2IZuyZc75j/KRPCJAk3urbk7GRUXaiCmD6TFdQ+FO50mhcXSTTbiT690ng+sWnFJ4/3U5UgRimq0AIGT2ihO0mosTvCuDkVoYrcdcxGhXcuKGia9wffMVGdhLDNKxlb5MRLo257C8QKM4DygBPuYkR4WJMAuI4j4rxHEeBr+nYJxHiZb7ptidC6JlLFdXA/4BqpuO0Q0SYt0E4Pf6m/fcybT8JIVRaI0oMuyJKDBsAm0hkJVqaMpcBRCNGK0NhhKiqZ1qPD8IVU9u8XnsAV2KZSQhTkBiP1dUKRjhnvRGNm6tQ0BcIIjlKhLAyOzYVEL1W3UxrNouqhriwiHb8xGNLb5e5f8xcbmcOn0ipjECLEF7p7W2yFTvFEaLqANaeq54IEZcR7pI8aCMz+5ORSQl5npVMUt4dMpgbl0KYNH4MA/v3Yh2i5H0eyftaZWRyi5TK6nMac7IyZP98StmxyiXyRXRuSlHmri4iha9Pz/TvY/KXoiywTGkhqmwea77q6u7mxo2bYQzs14vff1kEgLbgaXQ6s0tlGxAuoVRCx3b/8HrjQ3zy+bRkhzXHkMcgRIETUIl+nOQfhH9zFiyeUgAfoGMVzyyldWZBZR7Ma3ZvuiL6mHQIobALkZI3DiGeYoFBOKEhgT9Mx2+DEEtOWEv7VIg/6olYY9K9EeKvk2n7MYh40ArAJayR5FrT9+Z5XeYeq2m48AVxqLHW3ZtLIM2DhlsjhJIS4cItIXmP1V7TGnqYnnt3rOWTIxBuoC9WJ26+ab1/mbZZRTGG8NDOwVlteo6fA0MoywRmcIIQbvMdnyBE0r+mdXyA/UlBSnHtmLaZalr/fkQZXtIgEDMvaiR6diI7Vo4hfz7K5CZxcXFU921CuTJlOHo8BFViInUQnz8yMrmNbVx5bvRXgThn2EDKFTCplfk/D9mxymPki+jcFMIniI0T96eXPj3hv1MQ+1D8m0SQ+fs1o90bLblxMwylUsmfm7YTGBRMYFAwBQoE4FsbNOqvEaIqgNKldrN7eySd2v/D37sG0CAyym4QMFhFVW9EyVuC6esafzBDGYsTNxCSaQXCwxnB9zyzJPTZJuTtwBquMAMRa54I1EGcpHdGCK3piDeMasBaEuiL+EPVIMSXGiE8tiLEThxCjGHaXxtESSCIMsBBQLjp9kWEjR6MEF9GxBWgUVhDJSYB3xNHa6yiqg1iSJ4bQpj5mNZi7vnagH3k+3HTc2+JEFPLEQKqkml/AaafjTW9aiACJ8YiBJv5tQ8ziSqzk7QG8UbqSU9m4c77aPiPSJ7ymJ6IN7tvEeKoA8kTr56Xzpfe3qbXSe5k2caxp4ZtTLuZ5/Vx5XdSer4yMjJ5HxcXF65fOknQ7q28P3wIWo9CHNeoOQL8B0lqOmRkchZzXPkGcs9NfUbqFTBZmRgoC6tcIl9E56YSPpHq/Rlg/oKFrFi1noH9euHs7ExsbCxvdu5Nt96DmPjpKC5enoPe0ABn5xYoFGt4/KQvQQemc/BIf/7+aCD+Pyw2SS6ruFqN+MOtilUggRA93xhj2aqIoy9tEX7QBGABH1CQRVgDL9ZiTQOcjBAYe7A6VZeBXxHCS4MQS3cRImgQQqScxCpydFhL+7qYbhsRJ/YjEI6PN9Y3nKMIQWIOwHiKEG7mk15zvPpq0/1fIsoI92P9o96NcHumIsTbLaA2CtaZfm4OozDPvDK/jvMRA4/Njpw5EXENsBDR8zQGIUsXmW6Pxup8mVPxvEzrMSJE7vuspyXR7OQa1Xmf91iRLrGTWjrfdzw/LTArRNHLNqMq6fOVyVlmz1uQLJAiMCiY2fMWpPIIGZnkzP16GrdDz+Dm5sY+Jy2bXV1YXMBdLg+UyXXOkjsi34A4l0jvfMrM4JCwun//gfymn4Xk+ejcMqUdu99BAoOCmTx1FnNnTeX3XxaxbcNKtFotiYmJFPYoxMw531G/7gpGDG3CkaBnjBjahPLlhlpfr1XrIDbObiDtZMQVkSmIcAOzQNqBEDa9gDaSnq8Yj5BLaqAqVejPaoRgaWRan4Q4Ya+JEBgqhIg6gBBG5i9bNMBirKV8zojyN3BjLFAbJcsRZYEuwBFEJPsAhGPlZFrRv0A5sPRJlUBcbVEiesYeIQTXCsAsc5eb7nvXZv2fmb50FCKevZxmD1qEFf4dVt9ObXqu4xEO1JsIYVgHEfhRA6hDAQIRQRQ1EW+QNU23WyNcwrUIV6s4wnFTml6TioiT9QOm46TWf5RS7XNq6XwHeH5vU1aIopdtRpXt8+XF1Y95ltQqGa5euy5/9so4hJubG5dOHWberGl8/tlooqNjmIX4XPw7txcn81LzN9nfc5X0IoISUYljTGX7rEwMdEhYubm55v3ytXxEno/OTSN8IrMcP3GSrRtW2gVVuLg4412+LDdu3qJdFR+Cbw3hx6Wu1O5Zk54eEyyzrRYtXUagTeKgP/Zx4HrsZzX5A7MQqXOBQDluI7Lt1LSkNW/zG60QJXKlsJ8Vdca0Dw0iYtzcY1XZ9KVDXA1pZjquueROgxBKdZRFaFB2PqDkDEZUKNmGkm0I4RSHCLSwHc7rjBAUnoj+qPsIB0hCpAX+bDqeApE22NG0xniEizQPUQqoQ1yJ6YOevtwF/PmAwsSY1rkD+2HEeoTIW4FII7yNmPe0D+hGFAEIcXrOdPxzWN088xvlPoQPqEZ4ghrga6yipDEpl+ClNESwE1ZxlXTqeVrlfVklil62GVXm54toRpTJQWwrGVq370bXgEGsXfEzfQK6EzBgCPMXLLS4WvJnr0xaeHkVZ+TwIYwf9zGh545RvVYNnNzdOY74LFyJ6AOWkclJkl4szQ6S9nEpTF+qFI6Z2nzKjOKQsCpQwD3vl6/lEzI9fDcn6NNTBFWULQMKhfjXkeCKNLCd52J+PSZPGEt0TCwDm7zGikNHmX/rNkgSgbduEzD7GxZ370z/Pj2ZPH4sAQqFpfzP3BfVCjF3yRxzYf7ZbES52lZMs62cVBRxXUFLn+n8ygpLqqA/ItBhLaJ8bQZCGMxD/LHsMu1TiQiauIIQT1pED1RrxHykUqbHTUDFIJ7idOtDwIgL4IaRMxg5AQxFiB9z8IL5Dz4eISgeIxyjgQjx1tp0u4/pGOYwjNHYJ9v8YVprG8TA4AbEsJRh9GUl22hLH1T8ixChoxFlfsdMr9sOrE7WeET6Xy2sZX2LEIIpCOGO7UKINC0i3GOGaf1TTPv+ECEeK6DiOu6khqO1z1GUYBn7iMYr1X1mhSh62WZUmZ8vIkxSJht4XsmfuZJhT2Awep3wxP39mjF+3CjGfjaFcxcuyp+9Mg5TsWIFTh7dR+TDG5QpW4bbGg3RXsX5EfEZkVMzfmRkwHqxNDWys2xVgTifSms+ZUZxuMcqz5ev5RPyTXRuGuETz8ORfoHjJ04yftwoZs75jrUrfub3W3eYi3BxzLOa1gKNfl5Gr7ZvErnrD/yd1RzCPtVuIuKPpRtWxykAIRhAiJfhwJcJekY0qUTlYtUoS1iy9Zi324MQBr4INweEmPFFXOVQAm2x9lntRvR26RB/vNOQqGaUOEACCoRgmYIoE7yB6KuahygJHIvV9akLhGEtP3wbIXLMUewbEOJqE6LPqi3ijaGG6fEhCBFxEuFITQVGE8tXTOQ0BfkTLR9QyDSTyotNdOKqzetYA6uT9QtCLNZCfACrES7eYISAcwaKIII09KbXLMD02PkIITYQuICB67wBpCyKHK193s8kwmhKEJNT7afaSuZEkW1Me0p9XC8ats8XOTE+20ip5K9T9/6oNWoCg4KZ990iBvbrhUKpoH3XPkyeNpOJk2fgU8mb5X+ss3z2yuWAMhnhzPH9HArcwbKlPxAH/F6oIN+rVBzJ7YXJvHQkPOdn2SmulNhXwGQlDsetz/nqCwIGDGHE0MEsWrpMvmomYyFphHxgUDDdeg+id48uLPnxmzQHWto+XnIthkKSLKLKPBZYAg5/0IYSBVwwSBLSv9fZEHSZhvE6Wpq2CcQ63+k09iWBZqH1butXWRJ8mf8laukoxSazjc3bjUA4YOawiV6InqJ4RIneOcQbgyuit+gRInjCHK0eb3qc+a+sDcIZegUhTraZ1maOQ1dhddfMseszEGEZKxFlf95YgybGI4RLqOmxZXmdGzbxDOZAeXNKYgDQmoKYg9rVSh16Y08KEkUfrEOQzcxH9IjVQvRdXUe4WyAcs3CEoHrD5nWvb3puvRD9ZgMQLti7FGYGKmAtClMhYz2W0IGRQOpDBCOwv7I1g1j0JClRNf2PvcUjS8S7eZ29yfjg3pctpt32+cpx646Rnrh12/c48/thuzdasnrdJoa83Z+VqzegUMDkCWOZPG0WiYk6lEoFCQmJaDQadDodA/v14s9N2xk0IIB1G7baDQzOU+M6ZPIFk6fNpH3b1rzZJYDIZ1G4AyMRn2EyMtmBbfQ65E78etLzioyQJXHrUVHReb98TSbXSHoVFkCSYM2fm1MtHU1MTGT2vO/ZvHUHFy9fITY2ngmTv+S2Qvyp2QoiAH1BF14rX5RrT6L580wYldrUZNyXPWnRtzGSRmV5zCiEczKC5KJqjUrB9N3nWZ2g5/+kWPaBJbJ9NkJMdEKcgLsjRFAsQqC4IMrTnIHzwKumfSsQLlYowumphbCazXazBiGediHK4r5CiKoAhFg6iRBGzojAiECEizUD4QJVRIRwrMNa5jgeITivIUoEVcANDqJR1kKF+ONebnouGxEljkG4IPyuDUAAemMwWpWR3qafJ50DpQO6umkJddVyxrTPFgiH6jpCREVhLbFcYXpuy1HxM8J5Ww68g5prfI+I0piDhBoJFSd4j6lIzCA21fS/pKeqH1KRGqxEbeoOUBNDTe7QC4NdP9WrWEUVZGxwb0Zj2vMrKT1fmazD9j3SPGpi+R/raNG8Ces2bKVUSS/0ej2nTp8lJiYWlUqJ0WhEqVSg0+kYMWwwO/7Zy+uNG7Dop2X06t7JTqTJPVcyjjJt8ngavdaA8JuX+GTMh0Qhgo22YykJlpHJMpL2UueGqMrqnqqkqB3ZOCYmNtXyNdm1ekmxGQDsX6Y0a//vLTtHc9Pa3wgMOsD0mfMYPmQwri6uREdHc/7CZQoVKsiMWfPZs30rbzWoQNSjaCbv/ZvhTXzYWaEo74Q9RqEzWNyZNSolLTrUYW9oOH2XH2TVQOvprVTPW3yz6jD7sMasL0KIBX+s5YT+Bskybtg8v6kBwm1phjgxb4VwWzoj3JfOwG8IV8rs7MxA/HEORJysTzc9ztf0ZTuYUYcoz1NjvZrhj4g6X47VWeqKeNNRYx38+whPnIinIDFcNm0zCvHh52zal7Npv0pAZzzDcKCYaU1mq3024IsGa9fScOBLCjrXZ0lMyh+hnwDGqT14a+VB9l19QLzeIOLf43QUkMQH708Icdce6G5yk/qykgCGs5JouuHGtyhJ5DYwlwLMI44Y9LihJoZX2MgbjLXY8eYrWc9Mr29Sm74A93EiEgPOqInDgDNORFKdp4Tz/GHBFZCFg0zOM3veAq5eu06fgO6WC5K+tWuwa08QdevU4tDh47w1IIA/1mwgNjaO5X+so3SpEty7/wCj0YhPpQpUq+LDH2s2UNG7PLv2BNGmlR+/r1hLUU9PuXpEJtM4OTkx68vJ1KpRnU8mfsGpB4+QjEaURiM1sP/skpHJKCn1UucUEuIi+d9kffmfLQ6XAsqT5WUsrF4PIz+2HyLs6sLk1v5M3/IXk8aPwd+vKb36/R9arZZnzyIpUqQwzZs2Rpeo48z5CwwfMph+cSF4ujkn270i5AaKHachIpZANyd66w2826wqSw6Hsmrg6/j7WPtz5gReoH5ZT5TLD9I7JoG15iUivBnbckCw78syDwXuhvjD64JwXkohoszbIByl8QjXqLdpH2sQ/VffIa66dEY4SlqEy3U0hZesLsLRMpfxTQJ6IErl1prWMR2AVvTlbb5iIuUI4zFFKEAkh9HREfHm0AohZiabbg8wHb8YIvRCY1rfAoRgLGV6LSJVf9Os4mWCr32MAnDSqNhoNNIy0ZBi6aXUtzG6OuXYExrOhtNh/O/YNQY1qMDq43Ek0h0jC3FHuHl+lOASc7lAYYwMQsFoYC4eVOUphylDN6KZyzPKoyIRA1q7csD0sob1uHOfevxECMOIpgQN6cl6hIt2ghc7Fj0nkEsBHaNM6VLS8v8ttBM35vK8BvV96dZ7EJIEm9b+xsw537JrTxAatZqd29Yx/7uFbP97N3Xr1CTk5Bm7/darW5t/T55h+NBB/PzrSgwGPRM/Hc2ipcssjtek8WOYNnl8Tj9lmReUsFu32Rd0gAv//cfXcxagQQirMVgDk2RkMsIUctalMiAuCJhnZ7mS+kVbR0ntM1IWVjIZp0odsIk8ByEMegItunRk09a/UKlU+DV/nQcXTjGqeVXGbP6Xj/2qMbJpFfZffUAZD1fqlimS5qHuRXrQZAHciljExNavMvXNWvbHNblY3UoUos+NRygMRotwAnuxYLtWcx/VIuyFTTNEyp8S0SPVDOFcSQghM930/RSE2NIjPnCmmH5ujrDVYD/rSgPsRAi1SVh7rMz9SQrgfbWKJXoDq7FPxEtEw3509DAdT0KIuN6I8sLlpn16IIIwOiBK9OabbosSRSVtKIBKEY+zWo9apeTzNjX4+p+zfJagZxbJRaikUSH1bIhUz5s5gRdQK5V8vfcCBZ07c+1xIJ6ubShdaAduTirO3HiMCwt5xDNEUWMbStKJe+ygFmK+1e0URFFvMpc0mbR/KiP9VDL2yMLKMapW8ZGePI2w63myLX8295zGx8eLnim1GhdXVzat/Q2Atp0C0Ol0lPAqzv3wB3b7rudbyyK4Ondsy+Z1K5m/YCFjP5tC65bNOXj4ONs2rJQdK5ksJSYmhteav0nrls35YdFS1AaRbFsFUW0hI+MoqfVSZwcS4mIyiEogW6cskcynAWZJj5XMC87q9UIsuRYT/65e/9zNpRRElVnMlH78H/6ViiEZ9DRSPCRk9JsMalCRdYOboVUr8XDR0rlGmXSJKoAR6ytwK2IddUv3Z8nhUAJDw+1+7u/jxaqBr7Px/jMCq5UkQCEcpRYKRbI+LVtqY519BUJgDUAMn22D+MNUIkRWHFCfCcSjZCMikW8SwqlSIcoDRyN6e8zPSoe13rYsotwvANE0OQh4HQ06ZxeMiJK9AsCXegNrTfuzXfNBdPQ1HbexaT2JiBRCc0T6fETQxVxEj9ZkRDrfXIQYa4WR0oUqYJAS+MivGusHN+PrvRdoW6MMU1RK1pC8hE6hM6DYcZp7kR78dXEVZ7d9RN8YZ649XscH6HgjtgNn7j3l5O27VC9bhASn0hR28aRikelolGO5z0EaAP+Znl8betKK9ynBGTrwfqZFFYhSzOcNC5aRyW7SGkfi79eMzh3akpAgOgk/GzeKTWt/I2DAEOZ9txAAtVqdTFQBFlFVrmwZ9uwNpkuv/nz2+XSGDx3EwcPHmT7lM7nfWSbLcXNz41xIMN/OmcHET8fgXcUHtWcRjisUBCFHtMs4zh6yN+0vKWdxfJRLZpGFlYzAXNZnmhvFrdvi9ur1PHnylMTERMLCbvPo0WOePo2gS6/+PHWyb9Ez9zC19HDlm6712PluS3YM88fNSY3CHEbh48U4/+rpXpb7Z8tQjx3KtguzgbX8e2cFj2J20GbxmRTF1buNffjy/B3ebfUqfnP7IvVphKRRWfq0bOdedUWUjH2OKJfrCryvdGcHCoYjEvk6YZ3UnQg0ZhETMVr6tsYgnKIPgYUokYAOSneeIP5wzQN/tUAk0B01P1GQWogergq8ijZ+O63pQALwMfbx8seTvL5rbL53RbxBTUSUFe5AuGcbED1etgOTRyMcu0A3JxL0F5nY+lWWHA4F4N3GPqwMucFrFYole/3NgR5ExPLlrm6UvRZCP2kIq3hGK+A3njGAd/ih/GRCJ4xiRrvafNZyEve+2MPCnlqcNT9QwDmWiKLueBZ0ZosCNhR0ZmOxApb4ekdIbXbVyxYyIZM3ed44ksCgYNZt2IJKpcLJSct3Py7ls0nT6dW9E1evXkev12M0Gp67/8dPnmAwGNiybSe1arzCug1bGdC3J6FXr1HRu7xlXIccwy6T1Uyd9CkXTx3m3o0LtPJvxiGthh/I2ZNkmfzPWUQyck783pjP3Rwd5ZJZ5FJAGUEKZX0AupIl8FGp6NWzK2fPnufBw0f079OTBQuXcqROMUruPItCZz0ZsC0bywruRXrQ8We4GN6FRENj2BDRAAAgAElEQVRbXDQJdKt5nC6vzubakzA7kWYuB3y3sY9dH5a5VyswIpbeCKFh7ovaoFTQoncj3r32gHWnw+hVuxyKR1EYrz5Ci5FfEVcfqiKi1VXAX1jL92xLCRdQnH6swomu+BPDfowYEE6UG/AJrmygM6dZhZArNxDySgUYGI6EkZR7wsxspCBDiWSd6XZ7xJuHC9awi0CsvWW2ZY6SSklvtZJVbzfH38eLwNBweiwLFuWHTavww4H/kOJ1bEry/NYCFShPBW6wgUIMI9JSYmnuS/tN7YH7kLqWUBF/Hy9L31tkvI57kaLC+b+HUdx8GsOp20+JjYjFzbQfCdGX9loavw/b+ZEQ3s1QX5aMY8ilgI7xvHEk5jJASYIpE8cydcZcDAY9er2BhIQEnJ2dSEhIxJHPY4BJ48fw6PFjFv20jEYN63M46O80x1rIyGQFM2d/w8QpM1Aj3r9rIPqTZWTSg23kenb0XEkIAbeD9I9ycRS5x0rmuUguRVP85ZaAUc2q4F3Yje41y7L+zC3KF3alY/VSaNVqu4AJPFyR2tXOMlFlZuSfb7P0SCu0Kj2JBjVDG+3hxx6/2m0TaJMUaBYNtrcBlF9uZkpErCW9byJCQEgerhg/70JgaDjtfmqF3tgYJ7rQnHiOomMKopxuPGKgnDkVMGn4RQCgc+7HovjdlOCBJWRiIEL4rEfJE3bTl7t0YjQf8gBP1FxGDyhxRkKLZBE2tswGauDEEKpRguq0ZQdFieAvYC9QCViKcLLqI/qufqIgrVUSxw1R9FZAt4rFCWhTwyI29235l+4xCQRoVCzu2ZC9hVzo+UsQks7AKKyCzE+jZmGpCZy4VZFXjINpiH2EfTdElPwZN6dkoSKpcfF+BO9vOIFWJVqh9ZLE4dBwmmBtjlaa9qshtdlVoCaOibimeTwZx5GFlWMk7bF69/3RrF63iU1rf+P4iZNcvXadqlUro9fpaVDflzc69MTLqxgPHj5Gp9OhUCgswkqtVqHXP9+9Etup0ev1ODs74eTkxIfvDZUTAmVyDL1ezyt1GhMfn8C9O3cpjjhJ7g0UzOW1yeQPsiPMwlZUgTXiPad6rByKW5fJ/0RGRrFi1Vq6dGzP1r/+poB7AUqXKkFFBZRLQWM/UCuZ09EXtUpUjX7sV83u51I97ywXUkkJjyrEsMa7GdpoL0uPtOR+ZPJrDyduPbY7qTf3XJ249dhyX2BErF0Mu4WIWMtjjoyKpN1PdYmIW8dB45v0QIgqs4DyRfzBHsfeVfIHWuPG6nh3evOQEYg/roEI52gr0BsjCxjPUs7iRizBwCL0lAFuYyQe+BgV/tg4gKZ/vRVF6S4loFf04540h5P0ARajUmhRSXAPHV2RWExxRtOSRwyjO/4iEofZqIBi3huZ9s8P1A3/gFNbjjLXYBQul86AtP4YLXs2ZP07fszceILp4ZF8DrQwieVzN5oy9eYQypvWY46r90eUQU4H+lcrafd6P49XSniw573Wdvd1+nkfoY+iLPXJ0YkGrkTGmVzGiuxhLv/RNVlMe1q8bEN+ZXKHpONI+vTqxpr1m1i9doPdgPTunduLIcEtmrJrTxD1fGtx5+59u96qtESVQqFAoRAntgAzpk7k1OmzTJ85z5TGKosqmexHrVZz5ZwoWC9RvhoRUdF4FCrEwvvh9EYMGS6VqyuUyes8I2vDLJKKKiDdo1yyCllYvcAYjUYMBgNKpRJJkpAkiR07d7No1gzWLphLw/KebD13hxY+xXnXrxplD15JVtZXrGdDJFXutuKtH2w1a3/ovizFbVLq2/L38bKc5GvHueKGgs1Ilv6obograz8WcrdcMVl6pBUPYwoCb/Ap8CVCiNkKqBam7+fY3BeDKwlOQyDhV9rgzBniLE7XNKzu1kaOokCETCxGBGTswtqL9Z3CQGtJzMsCcSUnQenEPs0MdAkVMUp9EXlMiwENBikRaIVCG0y8QcM3pabj6ZSA+tph9EZ/XDQJNPF25uSdTzlzbxoHr1dlf1gIQw1GO2Go0Blgx2no04gz0QlMbP0qiw+H4tenEf4+XoSfLUQ5blleW3PP2nhMgR/eRVkZcoPZnTI+oHTj2825F2WN7r8XGUeXX4LY7O4MxHIvMh59nDMqm9lV7oSnvkMTpUg9MVBGJqsoUaK4naDx92vGxjUinMLLq7jFSRo0ZCS/Ll+Nq6uLXdqfI4j3c+vtn39dwaXLVxjYrxeLli7D36+pLK5kcpQbl0/x+PFTQq9dx79tFzYVKEB0dDTNjUb8cntxMnmWPSR3kzKCZPo6jr2oyg1kYfWCcuHiJTZu3s6Of/agVKro0vFNflu5Bo1aza7hrYiM11GyoAvDGlXGKElUKOKOVLKwOLnOxrK+3KKP7yE2nNQSJ4F5ZK4E6FDxW7GRvP/ZNOL1tn/agSwm+ZBhM1LfxlRZd5EAfQQLKM425hHiqoGEZexDRwBKZmK0c7qO2+xjN2I87x+IMkEt0LledS6fvEhvSbITPU7GBH50+ZgJnw7izZ86cv7+MsAbuIGbthQxiXvoWtObwQ0q8k3QVP65/ASDcRvO6kQS9Br2hY7EINVk24UAIIqh+ogUe7gCI2Ltyidb+HhZbq8f/C186WJ19xCiaizQX6ng74dRzO7ky9d7L1CndOF0uVZJUauUlPVws9wu6+HG0t6N2GcKKdl6viwq5a/ExXyPhmFcogQxQGHshzEnxZwQKM+4kslpbMMsWrUQQse3Tk22bNtJbCwpJgA6gpOTFr3ewMVL/9G5Y1t+/2WR3GMlkys4OztTunRJSpcuyZ+rlqFUKBg6cjT7Hz3iKPABpFDMLfOyY3aNupO5ksBYrBe7bfu3niGSkn2xijcPhJizPX5WIvdYvQBMnjYTn0oVuRJ6jSuhVxkz6j169X+HEsSysGd9lh6+Sv1ynihRUKKAM29UK5nbS84Vuv7Pl10XpjMMBauIZAFebGUeq+gPgFJhwEmtJ053CAhgqzKOjsaYZMOEJVctxmk96LnsIwzSPoKvfUElz26cvLOTDtU/wct9Mz8fPcTnmIf9Jse8z+6Ifq37FOf/1Als1z9DQfK5WxKwZ3hLOv0cQry+E7ASMW44hLqlC3PyzlNaVvFi73/hVPcaRbNK7S2lkzceF6OwayzrTm9Hb5zJhxTkOyKTrelrZw31BjezE0WBoeGcuPWYcf7VRT/d+mMWV3M2cFYBKyQss8Vst88O4nUG2i7ZS7xNqdT1JzFUj02ktM12pRHR7rYEAvuB5qQcDCJjj9xj5RgpfT4GBgXTqXt/unftwJbtO5EkqFbVh5joaM5f/C9Tx5v39TROnT7L8j/WoVKpqOdbm6PB/1iOe/zEST4Z82GmjiEjkxmMRiP/9+4H/LZiDU5AeaAk1qoPmZeHpGInaSleZnqtbPulUuqnklLZtxxe8ZITEfEMhULBwcNHKezhQcmSXly4eBnv8uV4q1NHlEoFI5pUZtnxa7hp1fSv6023WmVxUufMnPScCLHI7Fp6LvuIWxHfEXL7Dwq7fERk/FwMksqSNKhUGPnj36YoFbMwGF9jqc8u/u/6HBQGoyUCfZxKiRTwmuW5KUJuMGXDcb5M0PO5k5oWr1ehz9GrIplwz3nWSslP4iXElRVzj1IMrgzlJ1ZRik/pziwikj2nvW5O9Aa83Idz9fEyOlavwPozp/Fyb0p4dDBe7s6ER8fTqooXO4e1TCZwuv7Pl20XZqNSDEMtfc9mRTxtJevo4vSmOc5dfpAGoeH4xyQQ6OZEb72Btq+WYePZW2x+xy9DTlVmmRt4ke/2X8JFazXgFUDfx9GWIAxz+Z/sWKUfWVg5RtLPR7NzNH7cKCZPnUXNGq9w9vxF4uMTMBjSDqZICzc3V2JiYhnYrxdbtu+kWZNGlCrpRaWKFWRBJZOnOHDoCP0GDePevXAUSgV+Oj01sFZryLzYpCc8wpHBwRIiDVlJcpHm6H6mpnPblJDDK/IxkiTRsl1Xisc9pGRBFw5ef0jXmmU4cPUhT+IS+WPg69QuVRiAtxpUzPH1JXUyiIiF9cfE2nNYXD1vLSObjqfv8oNMbP0q8/b9ilHqiLO6GQl6DQWc4mxCMiJZesTAsMMz2CPV5Csm4kcYFShHf8MMNq7rRXS9wSJZb+1RFhuMTAIWJOhZsPcCG1pWp8WbtfA3SgTsvWCZR9UAaIgrvzKIAP7iKjeZrHQnjB9YZewPSCS4T8eY8DFKnXXKk6RRcdzHi1WNfThxax/1y9bjxK3HvFa+DnpjJGtPCcfKu7Abh68/4pugS3y99wKrBopohsDQcP65/BWdXh3PF22f8MXOz+lxcSpbXJX4xyQ4JITrNfahd2g4n5rK/j59oyZf773A1DdrJUthBBGX32/FB6wasIASBbNnnORY/1doXaUEiQYxtUKSJPr8fpB1xQqgVSmJTtATFhFLPUn013lj33MlI5NVzJ63QART+DXj+ImTrF3xMwAt/F5n+45dqJRKDEZjGntJHzExsWi1GlycnZk8YSxjPp2Mm5srW/9cmSX7l5HJKpo2acT+XdsIu3WbX39fyW8r13LM3Q2DUeKjmBj5RPQF53kDes2CaA8irj+9vwtRpBxA4chsquwacC3/PucxHj58RJsOPShXriyNG9Zj7YbNdO3YjjKlSjGqXFHqlfHk9L0InNVKRvu9wrXH0dQqmZWZKo6j2HHaLvQCrGEIOS6sUllL4JZ/6QuWE/99oe8RcrsH33Ztx6m7b3M/0iNZSMbE1pv4ZGt/qp+7TJzOyeJshXYcBcC+Lf/S2yYEIhwxwFdx9Cq0r02L9rVZDRzdf5mGegMBwE+oOaF8jU2VqnHyzqdExG7EiDkdT8G30e8TTmFmMoFyhFlEz1jT62ibegjwTdAlTt15SqvKXuy9Ek6ryiX4ZOtJZnfytWxz4tZjtg+ti7/PKQA2vh1GYGgjjt16jJ+DJXvmtMWu/wuia82yFgHn7+NFndKFk6UCfrmrGwevV2X6ru7JIvKzkjqlC9vd3vxOc77ZfwklCs7di6BEQRdO3Xxk6q4T5Si7gf/DGu8uI5NZGtT3tfQ3fTLmQ7t+pyKFPVj+x7q0d5JOFAoFiYk6flu5BqVShZubK/1795D7qmTyJN7e5fD2LkfDBnUJvXaD998bRt+BQ5iDOMmuiAiUknnxSM+A3rPAm6RPlChIvU8qvSmDiQhhlh3IwioXCbt1myU/L+Pp02cMe+ctFv30K7fv3uOTWoXYcekSpS9F0LOUkst/r+ObtjXxLlIEgKYViln2UczdOUfXbB76ateHExHLCex7ggBL0EGOksoxj8cksGp4S8sMp+CIzQTqYzm+7U9+7HYzRQFYsmAEBZ1jSdBrLEEQBZziLM7L8ZgEuttsvwTRL7UqJoFjgRcY518df69CtFSIN4K1QACRvGMcwp9XNWwc1oR5gZ6EPr7H7QhP4vVaVAoDF0se4Gir2pSpbQ0DT6l3KTA0nCl/n2F2J18+9qvGoFWHWRlyg9aVS6C3uSo+zr869yI98F9odY5sExMdxd/Hi4+aV2PG7vNMbP2qndgzf+/+2TK7MJAlh9uw5HAbnNWJRM8anKHjOkKtUoX5tU9ju/u6/7qf60+iAXAFYqMSWB0db5dY5U7WRr/KvFz4+zVj7Yqf6RowiAb1anP67AWLa7Vl+07L3KmsQJIkKleqwJWr1wFo1aIZS378Jkv2LSOTXTg7OxO8ZzsAYTfDOBFyiu07d3M2Nha1JNEYKJq7S5TJYlITO0kdI0cnUiZ1vSB9KYMGMj/D6nnkbo72S0BUVBQnT53h6rXr3Lt3n5OnzvDkyVPmfPM9r9VrRPlrhzi+YzOfv92fojdP8PB8CD1qlWVZ38b0r1eBz1q9yq99G+NdxD23nwoA9ct60nf5QQJNSW2BoeH0Vogyt2R45MLg1lSO+YmHq0VUKdYfQxERS0vg03iduB1yI8XHmcsDD344mWGNdxMeVchun+ZBwYE2j9moEK8T2Dto/sAI4Gv0DEOJv48X24bOoVXlcyQa1DirE5FQUMajIiM3/GN5jff9dZq+S/bScPtplF9utqz1xK3HbH7Hj4/9qhEYGs7OS/foX8+bwzcfWo5vxtY5yiyBoeEsORzKxNavsuRwqGWdtlyZ8BF9fQ/iohEekYsmgX51DxA6YVSmj59RNrzdnJNj2lu+tg9rQZS7E/s83S1f6wq68DTXViiTn4mKirZ8r9fp2BMYTLs3xOCEgAFDaNakEY70NKdFUc8iXLl6HbWpj/bgkWO8O/JjAoOCmT1vQZYdR0Ymuxg3+gPWrPyF6Ec3+ej94ZxRq1mMGD2S+S5EmbzCHoRDZEtKjlFGSvOSumFnEaIpAmsEe9LjbiL7RBXI4RXZitFoZOn/lrNz1x4uXr5Cv4DubNyyHVdXV6pUrkz96Mu826Rybi/TYQJDw+m7/KAIaDgcyurXKtEy+HKyGVjpCUPIapL1WCVZi/LLzShScLUkD1eMn3fJ0LH26USZ3whENPvqltVp0b42AMqxqyxpNOYkQPN2Zget57KPKFEwwm4AsrkfbLh3URafv2MXj570tTX/f5hL8mxvd/p5R5IYeUFS5yhFJzIVlyy1YyV1wEb++TZLj7RCq9KTaFAztNGebC0HzAj/3n7CbZvfh9l7L3A+7DFJL2OUAdrn6MpyHzm8wjE0GrU0ftxHLFi4FEmCLh3bsmLVejq82Qb/Fk2ZNHUWsbFZ6+IrFAokSaJ8udLcDLuDs7MTWq0Tm9b+JpcEyuQrYmJi+GXZSj4ZOwGzp1sdyPylQJm8QFqpgOZtHOmzgrST/dJz3IwipwJmM7v27GP5H2upUMGbnbv28H9v9WPdhs2cOXaUs+PaExj6AA8XLRWKuHHyzlNqlfKgSrGCub3sDDPl7zOWUrCpb9bKF6mAYC90bJEA49y+6T6GWYi0fBaHYsdpJkfE8iXQ0qsg/4zrYNnOLOSSRrabU/5SEiRmzK/xJMSQYbv12gjB54miAfWa8MnW/mw6V9+uT2x2x5V2YRLpFUzpFWBAioLRto8tLxIdr+OdtUeT3b/3SjjecYk42dzXhOSR7i8SsrByjFIlS0j37ofj5KRlUP/eLPnxG+YvWMjYz6ZQskRxHj56wpC3+/Pr76tISEjMMvfKLK7q+dbi3IXLDBrQmyU/zM+SfcvI5DRnz52nW5/BFPUswvFjIZYSsrdwLJhAJn8yDnBLcytB0mTBpGSnqAJZWGUp3/2whOjoaDp3fJNVazZQt25tvv1+Cdy/ysgmVThw/SGPYhIY3LACLho1zSoWz+0lZylJHavniYO8RlY5VrbCA6DHsmD0BiNqlZI/bWZBmV2tOTqDJV7d7DjtLeSS6swn8/6HxySwGJIN9HVECKbXOcrP/6/ZzdjNIWy7eAeNUlRPJ+iNRD6JYYDNNipI5nTlZ2Rh5RgajVqqVeNVTp4+y9xZUxn94XsAvPXOCJb/sQ5XFxc8ixTG17cmW7f/k2FhpdVoSNTp7O6r4F2O6zfCmDR+DNMmj8/0c5GRyQsUL1cNJNDr9URHRNAeEdFeNbcXJpNtpDXPymj6eVpCKT0R7xnBVqzVgcTTkuSUdBtZWKVBZGQUsbGxeHgUIjIyilNnzhGy6EtWnbxBjRIeaJRKTt55wqjmVRncsFJuLzdFsjLy2pFSsLxIWqWCjhAYGk7PZcEkGoxoVUp61S5H1eIF7ZLyAkPDCTkcyic3H6XbzbN9TVutPsK+iFg7twscE4KOOEdJnUgZK7GJ1tCB6AQd9b/5G3cnjd3PX38WR7XcWFw2IAsrx/D0LCIplUrGjxvFzDnfWUIrAgYMoXbN6hw+GoLRaCA+PiGNPTmGu7sb0dExtGnlx8nT5yzHlQcEy+R3DAYDOp2Ok6fO0LxNZ5ydnYiNjaWRUaJNbi9OJltIaw5VemdPpbafzAwFTirW6gMnJCmZDpRTAVMhMTGRFm0606N7Z5avXEPFCt4UL1aUPzdvY04rHwLfa40kQQEnNVEJetydnv9SOlJCldVkZeT1iVuP7USUOX47acx2XsUiaLKgbNHfx4t6ZYqwNzSc0X7VaOHjRd/lB/m0ZXVO3HoMYBFIxoGvp7E3K7avsdSuNi3WH2OtzsBxbByvdrXTvb+kMfKpkTSUokUmkgNfRFxtBhC7atVsHdKCvf/dt9x36MYjtj67zXGbxzgj5mVldKK8TP7hyZOnTBo/htEfvodv7ZqsXreRDZu3071LB6pW8eHg4WMkJurS3pEDKJVKoqNj0Gg0BB88wttv9aV91z6WPisZmfyMSqVCpVLRuFFD7lw9yz+7A/lqzrccvfQfxxFVAqMQ77MyLwZppfql1xpIT8S7o6Q0jyslXnrHSqfTMX3mXE78e4oPRwzjf8v/wNXZmWpVK7P022+Y3r42nq5OHAt7RMfqpbkdEUv76qUdPk5uOD1JI6/N5FTkdVrkpb6sjJBS6RyQ5eV02fk6mQU/YFfauObkTTadu51vnMi8gCRJ9Ft+kIcxVkfifPgzikQnYOtll0HM0crryI6VY5QqWULS6fWsXfEz/n7NLMOCQbhWTRrVZ8u2nZaeqMyiUChQqVQYDAYUCgUajQaj0YBGo2VA355yn5XMC0ub9t05c/4iri7O3L15i5pAx9xelEyWURMx08oV+4uS5lK+Mgi3SIkoDTwB7Eiyj+xwrJKWKabmWL00wkqSJHbt2UcF73IcOHSMOrVrEB7+gLeHfcCUpuX469I9JKNEv7rlWXjoCk0rFGd6u1ooFFl3rTmneljMJ8vVile1CS44hFp5mIA6zZMFF+QGWVmSlxs8TyjvCw3PN+V05nV3rVGG3r7lAXuBlROOqpn8LrRTYtfle7yz5ijuTtYxxFHxevpHxdtdZVWS91wtWVg5Rv16daQ5X31hGQhsm8o3f8FCxnw6mZIlinPv/oNMH0sIKTV6vQGj0UjpUiUJD3+A3mCQ+6xkXhr+3LSVgP7voNVqqBufQHXEyXR6ww9k8jYphU+UARpi/3kpAcewF1fZ0WOVVKy99KWAE7+YwS8LF9GrdjkuhkfybUw8veuUp0ZBBUMa+TC0sTX2PMDXO1vW4O/jxbuNfZINVs1qzLOmVg2Egs6xxOsOAH0wGFfbDbjNTWznO1nu0xlgc0i+OJlOrSTS7PTkl3I687r7Lj+IVwHnZII/p9aeTGhHxML6YwD54vchNdpULcnhUW8Qb/O73vO3YP7UqHDViLdfvdGI+8Mo+YrrC4B5QPDxEyfthJVep6eeby1CTp7JkuNIkmQpK6xSuSL/XbkGwMB+vVi0dBn+fk3luHWZF54eXTtxO/QMg4aOZPfe/VwsVJC4uHhGJySgSfvhMnmcsyQXQV1JfhFSgRA5tsLK/LisTAVMz/BheAGFlSRJ/PTL7/y4+Gf8/Zpy+959rl29zsABvdkwqBlF3J0oWcCFWxGxFHHV8mmrV3NsbTnVw2J7suzpuhon9Z9827Udp+4auB/5vLbA9JPpnrEUkvkAiE1EEXIjz59Mp/YcbcvnzD1Xeb2cLqcE//NIVWjvOJ3nfxfSonQh+6HVO4e1ZPqus5iLBeL1BlY9jCIO6weGEeiAfOU1P+Lv18yuFNDfrxlqjZqQk2fQaNTodHpcXJyJi4t3eN/m0j9bzKLK2dmJt9/qx9tv9UvRNZOReREpWbIE2zasos+AoXw+fjT1X2/NHET/VTkg/UNUZPIDSgfuT0mYZYakYk2XfO4xkI+F1YZNW/lz0zY+/mAEPyz+mdIlS1DXtzbTZs2lWNwjRtYux7//7uXT1yqx+okezaFNNGpaxfL46iVydiJC0tKx7D7ptp4s/4+JrV9lSCMFsCzL9m91xZKXwqULD9cUxZUC8u3JtCPBHrlR9paaGM4TLltqQju1+/MxxQs48333Bnb3FXLWsv/aA4uwehSTwO8RsbS22cYVcLy7UyanuH//AYFBwRYxc/XadabNnEuL5q8TGHSQJo3qc+jICVxdXYiNjcvQMZKKKjP1fGsxZ+ZUi6BKyTWTkXlR0Wq1bDCFtfyy6DsuXLrMT7/8RmhMLCuNRrRAC6BYbi5SJkswIkRzSvfnBLZi7Uwqui1f9FjdvHmLK1evUa1KZe7cvUd0TDRXfpnJyn9vUMBJQ8vKXqwMuUHH6qU5f/8ZMzvUxiePDd/N6VTAnOjnyswxFCE3UKw6nCXDevMbudVfllJfWM9lwSToDUxvV5uP/apZtvm0ZXX0RmOO9Vdl1XyxF4XHMfHUm/83TirrdbioRD1toxOomENrkHusHKNqFR/pydMIi1NkHg6sVqvp06srq9ZuxGg0YjQa0Wg06JLMokrJjUovGo2GnVvXsnrtBlAoWPLDfLvwDHP0emBQsBzDLvPSMGHSdGZ/8z2uLq4kRkfzPqIKIK/1s8qkn3akv8cqO4cDQz4eEDz6k8+JD9lNyO0nGI3Q7pVS/PHvDcoXduOf4S1zdC35hZxMIMzM3CPlpPUo4pLHD7/oJ9MZFRFZIc6TiuGuNcokm731TdAlpvx9hs3v+OVejxX5K8wkOwh7GkOYze/JT4f+Y/eVcEoWcLHcV8zdiSZXwrPlREEWVo5hG14xYuhgFi1dxvhxo/j8i5nExcWhVCoxGo2UKV2K23fuZskxFQqQJChUqAAajTbZDK2uAYNQKGDjGnE1Xy4RlHmZiI2NJWj/IUqW9KJek1ZoNWrKJSTK5YFZQBQl+JPV9KQ37oRn23FSC7B4Xipgdg0HTkpqn5F5phTw2bNIWrTtQkCPLhw5epxHj58wYujbrFi1jvlvVGZC6xpcCH9GxSLudKlRBp+i7rm95DxLTs2aymzPmNS1PqR0Mu3AjKZ8SQbL3jJdfknyfiqzGK5TurCd4MpJUQVZO1/sRaFcYTfKFbZ2WTUpX5RRm04QFW8dVLzz8l2uYT+bQ0J86MhlgzmPv18zRgwdzPSZ85g0fgy+tWui14uLR0qFAqr7J74AACAASURBVEmh4Padu7i5uRIT43iZq62rZRvbrtcbmDxhFHqdiHs3izuz8AoMOsCipctkUSXzUuHq6kq7N0VB9bxZUwkKPsyWrX+xJQeO7Qy04cV1x/YziTCaEsRkOjAyW46RVCB5mG5vJXm8ui0pzZvSmu7PatcqJTIkrDJbTnD12nXmfvsjr75SDc8ihdkXfJBWLZpTRfGMC5tXMP71yiy8/5BTyxcQ+rE/bk4i36VkQZc09iwDKQcr+Gdx30xW9Iy9tCfTqfSX4eGa/D4bbENJMlrimZoYzgsBFlI97xf//z4TKJWKZL1ZG8/c4rPtp9BprCWDeoORNQ+j6YP1Q10JFOfF/ZDPKwQGBbNo6TImjR/DgoVLmb9gEVqtFrVagyQZ0ceLGWcZEVVg32MlSRJKpRIXF2dqvvoKu/cG8demNQB24g6wfC+LKpmXCaPRyOKlv3L67HkGD+jDug1bcdGq0BXJ/ligO1EJxMck0CDtTfMNxYCviUWP9Vz8BO9xgvdQE8dEnn8O4ygZFUjZMRzYERwWVoFBwZZygudhMBi4dPkKZUqX4sHDhyQm6qhYoTwHDx9j5qgR1C1ThMVbNtDbtzzXrz5kytZNHPuoLa5asaRfyxXN2DOSyRGyyhV7GU+mpXa1M+zUZUYADV93jHWnw1g/uJlFDPdcFkyv2uXo7Vs+RxIrZbKWbrXK0q1WWbv7DEYjr87ezm6jhNKkpOJ0Rnwi4/DPhTW+LERFRduV2p08dZbtf+9i7qyp+NauSZsOPbNsOLAZZycn3uofwO8r1rJ1w0ogubiTJJg0fowcwy7zwiNJEpf/C8WzSGFiYmNp16U3ZaUoKhd15+NB26no6c7SUW9S1Sv7e/B3XLzL26uPEOmcZwrDMoze6MX9qGUU0/fiQyryD3O5RFf0uKEmhlfYyBuMzfLjZlQgPSPl4cA5NWjIof/xu3fvp7tGe3/wIT4cM56inkXwrVOL7Tt28UZrf46HnMRTo2JWR19mdRSNtXbRVzL5gpxwxTJKTgWFZPQ4mXHqMl1+mcLtu5FxOZpYKZO9qJRKAt9rzcHrDy33XQh/xpx/znHVZjslMBDkeS9ZRExMrN1nY7PXG+Hfoil6nR5/v2ZUrFCOK6HXUSgUeBUvxv3wzA0K1qjV6A0GFi/9jbmzpuLv1yzZhc/vflyKQoFJUDWVe6xkXmguXfqPcRO+4F54OK9Uq0qT1xryQ3UdWnVKOXLZS7tXSrFuUFPCoxwfq5DX+OXoaMKevs49JrOakUQQiR5nIA49zlwjktXZ0Gc1BNFPlZQ7wPOsnUfAbLDzz2KBz4FNNvdpgf6knDKYGRwKr1AoFFLSqe4PHz7ir5272bhlO3qdjoH9evPjkl94FhnJstblOH3vKQ3KenL9cTSPYxPoVL0MzloVTrnwiy7zcpBT4R05GRKSVcdLKcnxxK3HOZpYKZM7TNh2iksPIy23T915QmJEHD4225QBqpq+l8MrHON54U6BQcG0bt8Do1GEAmeFc2UeOKzVahk8sI9dEqDtHC2QUwFlXkw+HP0ZFy9foUO7Nzhw6AgHDx/ls9fK4FepOKfvPqV5JS+7PlUZx3D/bBnx+pTG4RrwLryc8kVWcvNJf+L1xWlYbliWH795RAwj7z7D2ea9Ml6h4MdShdjv8fz/1+YRMQx8EEVRnYFHGhXLixdI9pjjYY/RRMVTLgNrKwJsyYpUwCJFCksGg4HRH45AqVDSr3cPOvfqj/T4Pt91q8e3QZd4tUQhShZ0JdFgYKx8UiaTQyR1j8xR4vXKFOHMvYhsFzvZGWtvJqucuMwkOcq8OFx7HMUbi/bi4mS9yPUwOpHOMQkUBubJwsohUhNWZhepqGcRrl2/QWKiCLPIqLhydnbijdYt2LJtJ5UrVeTu/fv0792DJT9+Q2BQMKvXbaRSBW9ZPMm8cGzZ/jclvIpzIuQUf+3cRcTFk7zzWiX+PBPG6xWKU7VYAbrULJv2jl4w7kV60G/FB6wasIASBbOu4O1epAefbO3PpnP1idM54aJJoFvN48zuuDJLj/M8snPm5/Gwx/T+LRi3DJRrVilakM3n72ReWLlp1ZKXuzMPYuIpW8gVrwLOtKlagqGNfPB0c3Z4YTIyWUVKbk7nX4KI0xmyXUDkJ6GSk0JQJu8Tm6gnQW8drfj2qsP8e+cpBZ3UXHoYJQsrB0hNWNk6R207BSSbX+UopUuVJCExkV7dO/HLryuRAFdXFyZPGMu0r+YiSbBp7W9yuZ9Mvkav1xMXF4darSYuLp7ExET6tm5BnM6IdxE3Eg1GZnWoQ6WiBXJ7qbnOyD/fZumRVgxttIcfe/ya7selR5CZ961V6Uk0qB0+Rl4nOkGHzuD4BS6NSoHHxPWZj1svVciFoJGtOXHrCSfvPGVoo0oUdtHmSv2qjIwtSRPzvj/wH1qVktF+1bI1jCGzPU85SVYkOcq8WLhq1bjaVHqsGdSUBfsvozMYmbwzJ4JpX3zMzlFgUHCKg4EdQaNRc+9+OHNmfsHefcFIgFarIS4unnHjv0Cj0TBoQG+LqJJL/2TyK2+98x7Xb9zklapVuHs/nNt37tCyZGG+aFuTeL1BPvckeaneksNtWHK4Dc7qRKJnDU7z8V/u6sbB61WZvqt7qmIpPKoQwxrvZmijvSw90pL7kSnFQqROdrlpWYW7kybLXTGHHKt6ZYpIxz5+M8MHk5HJbszukatGZZnF9KL0WGWWnAr1kHkxUI9dJTtWDvC8HiuAd0d+zMo1f5KYqMuwuOrcsS379h8mISGehIRE3Nxc6d6lA8v/WGfZpmO7Nowe9R6AXZCFLLBk8jK79uwj7NYdQv49ScSzSG4e28+3Xeqy8dxtGpTzBAnav1IKtUqZ9s5eEjJaqpda71R6BZkjZNRNyykUITdQpJTS3LNhmuIqtc9IhxwrhUKegiKTdzG7Ry19vDhx+4nl/uwakJxTg5iziryc5Cgj87Kg1WowGo12M6lAlPPFxsY997Fbtu2kZo1XOHvuIkU9i1C0qCfL/1iHUqnEaDSiUqkI3H+Qf/YEoVQq+GvTaoDnjkixDbwwIztdMtmJORb9yZOn3Lp9h9Yt/Rg3/gsKxYTjXcSdEq5a2jbyoW5ZT+qW9czt5eZZShaMoKBzLAl6Dc7qRBL0Ggo4xaXpDF2Z8FGqgiyryKybllModpy2E1WAuL3jdIZdq/wfsC8jQ9ruUXYICFmoyMjIpBuFApVKTZ+eXUChYNuOf7h7977lxymJKo1Gg0qlpIB7AR4+eoRKpeLsuYuU8CrO/fAHPH7y1CKq1Go1Tk5a4uMTMBgMaLVaAoMOsGjpsudGrDeo72sXw57eWZUyMhllwuTprP7lF3zLFCY2Uce8iTpqFy/E/wbJs3ccJSOlehkVZI6QE+ItS4hIZVh7avenA1lYpRO5jCpvk9/cIxkZmZeLShW8LaES740ay92796nnW4tTZ84nc68A1GoVWq0G/+av0+z1xmze9heHjpxAoVBwP/wB5cqWIezWbSRJQqVSYTAYKF2yBP+FXqNypQrcuXuf6TPnMWn8mOcGWfj7NWPtip8JGDCEEUMHpynEZGQc5cGDh3w15zvCwsJ4/OQpRQp78PewFkQnGihV0IXIBB1e7nIAWkZYP/hby/c/dF+W7sc9T5BlRV9UToi3LMHDNWUR5eGa/L50IherppP6ZT3pu/wggaFiCJrZEakv29R5gnH+1ZMJKH8fL1n0ysjI5Dq25XaBQcH8tmItnTu25cy5iymKqpIliqPXG/AoVIjAoIOoNWpOnblABe9yFiFlO2DYSavFu3xZ/gu9Rj3fWiz5cT5qjQZXFxe++3EpgUHBz12fv18zRgwdzPSZ8xgxdLAsqmQyxfkLF5kz/wfeemcEewP306lHPw5sWktDwx2GlVfgr3qAT7GC1CldmOIFnPEpWoACzvKo8pxk/eBv+aH7MmqXCuOH7svsBJptqEVS7kV64L9wEvcjC6V5DLN4O/jhZIY13k14VPLHKEJuoPxyM8qxq1B+uRlFyI1MPS9HkdrVRtLYh6BIGhVSu9oZ3qdD4RX1y3pKRz9qm+GD5XfkqGoZGZmXBTm8wjHSGhBsLq87fuIkao2aaV/NJTo6GoPBSOlSJbl3P9wyQBiggLs7UdHRjBg2GO9y5bgRFsain5ZZeqxA9D23btmcvfsOYDAYqOBdjtt37qFUKtmxWfRXrV63kQ2btz/XhTKvT3asZDLCnTv3uHr9OpUqVCD40GE+GP4BzSoWw6dYAQ5ce0C9Mp5807Wu3Kefx0lPqEXSMIrMuFuZCY7ISjKaCpjaZ6QsrBwkP80skpGRkckosrByjLRSAZOKl0YN6rH/4BFea+DLrj1BdoN/zdTzrcXNW3fo1b0Ti5f+xvChg1i5esP/t3fn8VGVZxvHf2eW7CsBwr41CooSgagsIkakVWtdcKlsirZoqyKoaBFFK1A39HVDFGlrFIWq4G61BkGECMomiyAmyk6IQhISINvMnPePYYZkMkkmbJNJru8/mck5M3mmn2pyeT/PfVNaWkJ5eQU2mw2HwwFAWFgYdruN8vIKwsLsfDT/zYDarlcOfb5nrBSupDamadL3/N8RFxtLQmI8OT9voVOHDtzTvpQ+nVsGe3lST7V1GUx59Dm/octqODExjqrrn2XqBxh+tuGZCVG4HrziqD/HyVLT70htBazFtEUbvVv/wF2xmr70Ry5MSWbmspwq10RERGpSebtdz9QzWL5iFe+//RoXpQ/ktG6nUlpaxs6du7Hb3EefWyW35IfNOdx/71gWfrmUpx5/hGuHXIFhgGFY6N2zh7fCFR4ezh+vuQKnw0lUVCSTH5rAipVrqvzsmjr8rVi5pkqI8py5qvx6EY/8/HxGjb6dgYMv5+HJj5Hi2seYzibjO5Tx5u86MDr5IOd0bBHsZcpRqO1cVPbEcVx5xrdYDE9V3V2UcZpWXKaFmcsGYxs/h5gJGYH/wBPQOKIhULCqReVzVYty8rgmwz2Q8f6LunuH0SpciYhIXRYtXsJLszIYOexaMr9YzLVD/kD6wAGcndaTX/fuY/Cggaz+bj0VDgcjh12Lw+lk8sMTeGzac7z0/DTuvvM2Vqxcw3tvvcZ9d9/BqjXrSB/Yn6efmMx5/c5h9px3uPfuO3jvrddwVDgCbpV+3z13VqtM1RbEpGn58ONPuX3svSz8cgkPTX6c7r3Oo/z75YxNsbLpv+8wMq0Ll57elt7tmnFqizh+27U1Fou2/DVktZ2T2lbQnOSYQj68+UnvuSjPdr/v97TFZRpYDSeGYZKSlEukvQyASHsZw3otJWfi2MAXUlODiGNoHNEQqCtgLTyd5YbOzqJH6wRMYP6oAd5zVeo6JyIidfHdXndW6pmMn/AwBw4c5NPPF3L/vWOZ/OhT3pbpN90wjMjISB75x1M8/MB4Vqxc4w1hnjNTk+6/h5dmZXDpxYNZu36j93n6wPMUiuSo/fLLrzidTmw2Gw9PeYJv/vs+53ZMYtLnH9E2LpIH+rbnL/1PwTAMrjijXbCXK0ehcnMK3+17HRP38vnmVOavP9d7Lfze2TjNIw0ePI9z9iVjMTjqrn/mJang74zVMTSOOBpHe8aqJgpWdUhPSebWvinec1WVQ5RmFomISF082+082+vuvvM2vlu7ntlz3mHwoIE89MjjDL/+aq6/zt2F67oRf+b+e8diGLB5czYzX3yGRYuXcOmV12OxWPn4Xff5qYSEeO7520P8/pLBTH7oftIHnqfzUXLUXC4Xfxk7np07dtOlc0cKCvfzwpA00to3A8A0wWox1IQiRNU2tBfwe80/k2G9ssg/GE2npF/rNUOryrt4wstxDDX1Va2BRuEhmPdt1fXVk4JVHRbl5DFzWQ4PXNSdmctyuEBhSkRE6qFyBckTmj79fCEjh13L7Dnv8NdbRjHjuae893hC2HtvvcZ1I/5McnJLXpqVwUXp57Pk62+8923enE10dBRtW7cCqp6PUrCSukx/6Z+8/9EnXHbxb/lu/QZWrV5Lq4pCZg9J44vsnXTvmsC5HZsHe5lynNQ2tNfEqHbtd93W8t2ujmzNbwkYgInFcGFiEBtewhOXzeGajHHcNu9m5o965qhmVJm9O53UIOXL+HRtlYoZ4H7+6VoFqxPB017d01b9gpTkKs9FJLg0uFtCSfrAAdx/71jGT3iYEUOv4dPPF/L0E5N5bNpzXDvkCtIHDvDOvPKEMU/Di0EXDOCjd+dW6S747of/rdL9z/MzFKrEny1btrFl2zaKiw/w7YrVZP7ndf7c5zd8OvtlWsdGcvNv4rjp3O7ERoSR0iI22MuV46yuob2Vr5VUhPH++nN83sEADG7tu4A9RQlMzbyKb7afAuB3W2FIOAENNBSsarFyx74qIcpz5krnqkQaBk+DGc8/p5X/Y4hIQ+SocDBi6DXMnvMOk+6/h7vvvI2eqWdWOUfl2c4H8PyMWURGRrJyzVoWLV5SpbvgpPvvUYiSGpWUlGC32yktLcVutzP68ksoLnfQJi4Kh9PFlWe040/npvCnc1OCvVQ5STxDe/1t36t87dmvLmZh9hnsKUrEaVqJsJXTPmEvv0nKI+PbC6q1XvdsHQy3VXDw8RtP9sc6eglR/kPUMTTQ0BwrEQlpGtx9YmiOVf3UNcfKI5BhvIsWL+HK627EUVGBzW7n/bdfA45sI3xs2nMa5iu1evX1OTz97Az69kkjP7+A3bl7CNu7nfdvHsj+0nISI8OICbcHe5nSgN0+/yZeWT7I+/yWSkOBx7w7io++712pqYULMBjZ+yteHTozKOs9GscypLim35GqWIlISKutwYxIQ+LbHbCmZhPpAwdwdu9Uvli0hEnjbvNeu//esUx65HFv8wo1qxCPkpISXnvjLfbsyeOHH7OpqHDw1HnJ/G/zCs5qHkO77lF0SUojLsJOXIQCldRtW0FzIm3lHKoI4/TkXeQVu9uzt44rJDl2P07TgnuelYFnetPsVQOZvWogEbZyDjw+KlhLD9iJaKChYCUiIU0NZiRU1DaMt3IwWrR4SbUW6ukDB+CocHhDVW2vl8Zv9+5cig8cYNMP2fQ6qwd33fcgG79ezJmtEzi9VTybfy1m8IB+DO7aJthLlRDhmVc1d8TzpDz6XJXtfhvz2rMxrz3RE17jnA45RIeV0qnZL5zRagdrd3Vkx/4kwFKlIcbJcqzt0o93Aw0FKxEJWWowI6HE33wp32YTixYv4Q9DhjP54Qncfedt3qrU/feO9d5f2+ul8du0+Ud+N3AQp7SIJTEqnL//WkSHxGjWjL8Uu9US7OVJiPLMt+o4ZXqVuVUeFsPJdalf8+bqAYzu8wUf/3kauUUJnPPMVAwg/HBDDKvhZOgbdzJ3xPMBdwqsHOrq013wRLRLP1YKViISstRgRkKJp+Ofb5BasXKNN3StWLmGyQ9P4LFpz9Ez9UxvJ0HPFkBpml6bPZfPMheyc9duOnfsyJRLe3Bqi3iSosKwWSy4TFOhSo6K73yrIzzb/Ny9GFymldmrBgKV51y5r52evIPZw2cwa/mFfLYple2FLZiSOYQHB78XUGCqbWhxbU5Eu/RjpeYVIiJSjZpX1E8gzSt8z1j5Pvd3r5pUND0HDhzgvQ8+YeHiJVw35Er+8867/O+jDxnWsyO/7dqaeeu289yVaUTYq1cVROortyih2gyrtvH55OxthdVw4TINTmmey6GKcPYdiqWkIpwjoSsQJrf2XeA3MNUU6gI9o2UZP9fvKkzA9dTQANd3dNS8QkREJIg8Z6ICCUxqq950mKbJqtXf0axZIoZhcMFvr6BzWDm92iby2D1fkBwTwaq7LqZVXCQAg7u2DvKKpTGpPN8q3OqeYVXmsHFD2lesz23Pma23U1QaRXLsfmYtH0RNocqCk992Xcf/fkzFNCtXTw1vhatyYMotSiC1zVZaxxXyv82p1YYWB+QEtEuvi+dMV2/o7e+6gpWIiMhJEmhgWrR4CS/NyqjWwEIan7VrN/DEU8/z05atdO7UkWF/vJq/t9iDTVv75CTxzLDaeyCWeev6YLW4iLSXs3Z3J87p8BP/vv5Zwu6djcv09/9J98634b2XsmpnF0zTwGI4cZkWrIYTp2nzG5imZl7Fih0pdGu5q8ahxXUxL0kFf+3SL0k9pv89auKvPbsvBSsREZGTJJDAFGhbdgk9pmny9ymP8/nCxVx80YVs/GEzCxcvYdJ5nfi/y7uwckc+50Rtw2aNDPZSpQn57IezqmzJ25qffPgMVdXhv0POXM5769ModXi2Ax45TuQ5fwXu81iAd7hw5cDku/1vY177w68xuKXvgipDi+tyItql18bfmS5fClYSso62i4yISDAEGpgCbcsuoWH2nLeJjIikoLCAf2a8QcXun5k0+Ezmf/oWXRKimXjjuZzR2v3H5OXxJ24LkzRttf3NlD1xXJVzVlbDHR6cprVKtWlK5pDDocgdqK7p8Q3NY4rZuq8FEfYKPtiQhokFcNE6toDBXdcz9vzPmLX8QvYUJRze/reN1nEFfrf/Hc3fcse7XXqt/G079KFgJSHraLvIiIgEQ6CBKZC27NIwlZaWkp9fQHx8HPv2FWC325j/f/9g36EykqLCSY2NYNLNA2kTH8XlZ7QL9nKlCantbybfc1ZlTvcQac+ZK6vhrDbbCmDeur6E2yo4+PiNnDntCUxvF0GDmPBStuQnkxyzn+lDMgAYNfdWvtmewinNdx/19r+gqulMVyXqCigh51i7yIhI3dQVsH4C6Qoojd/tY+9j1ZrvaN+uLaZpsvq7dfy+bTjTLu9FhdNFmNWis1NyUgX6N9M1GeNoFVfoPWcVE17CxV3XMm9dH8Kt5Xxw8zRGzhlDcVkEpY5wrBYnTpcFCy5c1Nah0iTc5qDMYa92Jcxawc3nLmJPUQLzRj17HD7tiVX5jFUasNI0q3XxUMVKQo5vyToYk75FREQ++Oi/rF6zjv1FRWzc9CO5G9fw3k0DeH/DTjomRjHhytPo0SYBq8WiOVMSFIH8zZRblFBpG5/bgbIo5q3rC0CZM5yLZz1I5TNVTpc7TNUeqgAMv6EKwDDwVrNCQbUzXX4oWEnIqVyyDrkysoiIhCSn08mXi5cSFRXFmrXrGNC/L8+88DIJ+duIi7AzqFU83S7tQeekWO4a2C3YyxUBAvubaWrmVWBASrNcdhU1q2VWVeXn7utWw0HL2P3kFjWrdE9Nc66ODB1Oab6HL2+bfLw+5knjOdO1avzcVf6uK1hJSPK0Bh3dZ6H3UKSIiMjxZJomDocDwzCY9MhjfPD6q7SNj6R5TDj/fupx2idEM++m84O9TJFaef5muvKMFdz0n7+yLb85UH2bYM4+z4w00+dr5bDk+eoOTk7TRm5Rkp/X+L7W/bowawXlThsOl6VR/gdxBSsJSZX34oZSGVlERELDzp27mPDgFCqcFezYsYuoqEg++NP5mCbERdgxTYiN0J9R0vB5/ma6ff5N5BUn0LG7u9jirxtgl6Q8Jl/8NqP+cxtOlwWHy7PVz/D56su3muX7miPX/9Ivs9H+B3H9G0FERESavP9lLmTb9h0s/HIJ1119Bc88/zLhe7fSu10z7khrS/beYrokxQZ7mSL15luZ8symirCVc+PZiyl12DFw4TQt9OmYzYg3x+A06zo75eEboio/rr4lsNxp59Vv0zmnQw57iuIDrlqFyogdnaQUERGRJicv7xf++1kmGzdtZu5b8xk1/AY+mP4Up+7P4YUH/0aXijw+uyWdR39/Fv06t+DGs7sEe8kiRyV74jiG9swi0l4GQKS9jGG9lpIzcSx5xfGc1nLX4Vbp7kG/1UOV7/a+yiqHKPf1CJv7/Ts121Pl+1aLk2G9lnJd6tfe1u+BqtwuviFTxUpERESaFIfDwcND/0BRqYNNeftJjo3gg5sG0LtD82AvTeS4q6mBhb/ZVFVVPU8V2DZAKHWEMWf1edXucrosVb5fuXJW07ic2qptDXHEjoKViIiINGo//byFJ59+gbXrNzBwQH82fL+J7OxfeHNEP9rGR/LzvoP0ap8U7GWKnDD+mn5lTxzHmHdH8dH3vWvY+lfzlr7aVX2dBQfxkSWc1+kH1uzuzL5DsQGPy/GcA3t7bR+cLitWi5M/nrWswY7YUbASERGRRqW0tJRx9z5Avz7nkJ9fwKPTnmFQ2ximnNuFN5d8TJ+kGN6/7/dYLO4/AJNjI4O8YpETy1/Tr9yiBJZvS8FpWqi7Rbo//s5XebgwgHBbBaUOOwUlMSREHcLpslBaEfi4nFMefbZKxcrpsjJn9Xm8u+4cVaxEREREjrft23dSUlpCs8REdu7azYbvN3FgzZe8uuhT4iLsTL+kG1f36ADAhae0CvJqRRqGqZlXsac4kZiwEi5I2ciinO4cLI/gSIv02pg+j33DlQUTs0oomr1qIAAGLrLufCigcTnZE8fR97nJ5BYl4DRtWA0HreMKWT52UoCf8uRSsBIREZGQ5XA4eGjy42z6MZtmCfHEREfz9bcryBzRi64t44O9PJEGx/fc0oHyKD7emOZzV11b/3yv1zRQuHpVy8RC7/97PKBzUq3jCvn96WuYtXwQEbZyyp02fn/6mgbbGVDBSkRERELKiJtupVWrZPbtzefLpcvobCvhkxsG8EX2HpJjDd4YOxCbVY2PRfzxnV8VYSsjOXY/2wpaUH0YMPivYPkLUf74zrdyv9cl3dYw67pZAa3X3/mwhkrBSkRERBqsjZs2s2LVGpKaJfL1sm/p1+9cHD+soGiLjTDD4Mnz23HJaW2ItNu4JrVDsJcr0uC1jivEanFQUhFGuLWcUkcY2wpaVrrDXxfA+jSv8GXSPmEvOwqb4wloy7edEnDVyd/5sIZKwUpEREQajF9++ZXExAT27csnPDycqTcPJbe4FLvVoF18FPe/8Sq39z+V0X1PCfZSRULW0i3dAPhD91VEhZXzuLKENQAAGARJREFU1nd9KHOEUf8AFVjHQHeoOnJfQUkstvFzABPHU8Pr+TMbLgUrERERaRDemPsOTz79At26pmC1WMj5eSuuX4tZfMdFlDlchNvc2/si7frzRSQQuUUJDHtjDHNHPE+ruP3VzlfNW9f3GH9CbaHKXalKT/meHQXN+Tm/ZZXthq3jCmgVW8CeovgGe2aqvrQBWURERIKiuLiYvz3wCNOemc5lQ4byyr9e56n+yZxTsZ2+ju28PDCZ/9zQn0i7jYTIMCLtNoUqkXqYmnkVWVu6MiVzCOA+XzW0ZxaR9jIAIu1lXHnmt9TdBdAfs5av7sdWi4t/X/8KmX99FLu1osp9+w7GsHZ3Z+/aGgP920lEREROirXrNhAdHcWSrG84s3s3pr/8LzZ/lUmb+EjSO7Vgl/UQg07txaBT1RJd5Fj4VqZmLhvMzGWDibCVc+PZiylzHJkllRyznyE9lvPuuj6H7/bXuMJfZcr3LFb1s1nbC5p7H+fsbVPlWrkzrNraGuJsqvpQsBIREZETbt3677nid5fQLiGaLkkxvJi3nwi7lc9uTScm3B7s5Yk0Kr6d/yLtZVx15gqevOxN7nj3Jr9d9hIjD1BQEkP1GVXu2VMmBvU9g2WaBtETXqPM4e+fcXdgi7CVMaSHe22hTsFKREREjjvTNPn7lCfYsm0HP/z4I+3btuUfl6aS2rYZkXYrcRF2yh0uhSqRE6B1XCFxEYeqVKZiw0toFbffb5c93wqXL7PGQFVb8wp3KLs29WucLps35B3hfl2pI5y31vTl9WEzAvtwDZiClYiIiByznbt2s/yblXz4yWec168PGzf9wAdz3+TKM9rxTJ8OvL02m6v7nYVd86VETgrf+U9b81uQPmOSt5FFZdkTx9F+8nRqbr9QfdCv/+dVr5kYvLFqoPc9LIYLl+nZXmjBYjj5TVIev0nKq+ena5gUrERERKTeXC4Xi5dkERcbS1JSM85Lv5R2tnIGdW3FO88vJtJmZckdF9E6LgqAPp2a1/GOInI8+Vambp9/E7OWD2JK5hBevPpV77W6qlVuRzPHyl3NshoOrBYXV5yxEtM0mLeuD+4tgOWUO21ceMr3VdYTyhSsREREpN4+X7CIWQ/ew679h4gJs3NXWhvGnt8VwziWQaIicrzV1sjiwOOjvOex3vquDy7TSs3Vqbr4bgt0P3aaNpxOeGdtvyp3lzrCsOAkrzi+Wlv4UKVgJSIiIrVyuVxMe/oF3v/kU9J6ppKfX8gXX37FI+d34rqzOrJyxz5S2yQqVIk0QLU1sgD3eawypwWXaaHmM1OVG1r46xroeRwYq+HAaVoZ3nsprw6dye3zb/K2hQ/l6pWClYiIiFQz4+V/4cIkKTGRKU88ja0gj0cu7sGiDUtoDiwf3Zf2idEAXHiK2qOLNFS1NbLw+Hxz6uFHNYeq2PBDFJdFUVNlqu6AdeS603RHkNmrBjLbewYr9FuvK1iJiIg0cQcOHGD7jl106tieLVu3Y7VYWPL6i+QfLMdlmvyhXTP+NvQi4qPCuPyMdsFerojUk28jC0+Lddv4N6krCDWLLOay7qvJ3NyD5tFFbMlvBbgOv85fwDry2tqvu1utJ8fuJ684nlJH9WpaqFGwEhERaeKeeuZFPstcSEJ8PElJiSz9+huu7hzNG8P7B3tpInIc+GuxDrDyrvu5OuNuthW0oPK2Ps8ju8VBfkksr68cAFgrvWNd2/487+B+P6vhwmlasRpOOif9wk/7kgm3VlDutBMdVka5s+ZqWihRsBIREWli3pjzNp9/8SUdO7bji4VLyMvZyJe3XcSXOb8QYS/jmT+fTbOo8LrfSERC2llttxMVVnb42ZEqk+dRhcszZ85KoCw4sFrcrdXLnHYSIg9SWBLj7QLocFq4tVL17IP1aX6raaFIwUpERKQRczgczH7zbU477VS+WPgVab3PYv4HH9Pyl81s2/wtbSqcDB3QjTbxUQzr3QmARTl5rNyxj3vTTw/u4kXkhCs8FE3XFrvBMHE4bezan3i4i+DRNaNxYcXlOvLawpJY9/dNg1v6LmBPUYK3ajZ9SEaVClrlx6FIwUpERKQRys8vwGKxMOOVf/HhP1/GarXQPTmejzNmkhgVxow/XQC4Q9TQ2Vmc1iqe9JRk7/O5I7UNUKQp2PHwHd4ZV6P7fAHAzGUXBfhq3+6Avueu3CyGi58fuDNkt/gFSsFKRESkEfnppy3cNu4+WjRPIufnLVRUVDB7aF8SIu2EWa3YrQbhtiPbetJTkpk7sj9DZ2dxa98UZi7LYe7I/qSnJAfxU4jIyeBvxhWABSeGYeI0rdReuaqpOYWHO3gN77Wk0YcqAEuwFyAiIiJH75//nk3G7Llcff2NPPvCy4y790Ga5//MqYWbeWVAS+4/M46uLeNIjo0kMSqMmHA7dmvVX//pKcnc2jeFfyz4nlv7pihUiTQR2RPHceUZ32IYrsPfMemcmMd/b3n8cKhyf6/qHKv6cFew3lw9IKC7c4sSSJ8xiT1F8Uf584JLFSsREZEQsnfvPr5Y9BVt27RmT94vPDbpAbokxXLhKa34ImMGNouFf4/sj+1weOreuu6D4Ity8pi5LIcHLurOzGU5XJCSrHAlEkJyixIY9sYY5o54vl6VodZxhby/IY0jtRaDLQXJXPzKAwQ2l8rw+QpWw4nTtBx+T5PWsQV0SNzLnqL4Otc2NfOqkB4UrGAlIiISIsrLy/nzJRcSZbOyJf8AVquFV6/vS/8uLY/6PSufqUpPSeaClOQqz0Wk4TuaQOK7DbC6QFqq+95neof/eq7lFjcjtziRs5/5ByvueoA9xfFc+NIkvrxtMj3a7PC7llAdFGyYZuClvbT2SeY34353ApcjIiINgW383FWmaaYFex2hIq33WebKrC+O+/t+tSSLt9/9kBUrV3NWag9++eUXdn73Da9cew5dkmLYmn+Q7q3iMYyj694FMG3RRtLaJ1UJUeoKKBIaagpHgQSS3KIE7vtoOO+tT6PUEU71CtTRqqvS5R4ufGrz3STHFTF3xPOYGNz30XDe35BGSUXVQcEN8WxWTb8jVbESERFpIA4ePMgdd03g9NNOpVliIhMf/gcXtolk8tldyPzxG5pZLbxx20VE2N1nH84IYJtfXfyFp3RtBRQJCdkTx9UYSOrSOq6QuIhDlDvtHAlD7tBzbOGqrte5tx3+uLctP+5tS7vJM3A8NZy4iEOUOUJ7ULCClYiISJD8sDmb/PwCunU9hQ0bN7H06+W4Ni3ny5WLcblMXr60G5ef0Q6Ai7q2DvJqRaSh8YSjow0ks5ZfiMus3MzGE4oqN6w4moBVUzDz954GtvFzsBjOkB8UrGAlIiISBAcPHuTpZ6fzQ/ZP2G022rZpTdayb/h8aCqdk2KCvTwRCRF5xfFHHUi2TRrjt+K1YHN3Klw2CktiMKvNqvJVW3OLI6+r+uoj1/xt+wvVQcEKViIiIieBaZpcff0owsPstEpOZv4HH3N6tJMPRvRn2ba9RIflk3GHhvKKSP3MG/Ws93F9A4lvxau0ws6i7NNZfc9EOkyZfjgOVeb7vKZeDdXD1tU9lvPJxl6UOW3077SZJVtOA1whu+3PHwUrERGRE2DV6u/4LHMhvXum8t/PMul+ejcid26gU2I0v+5cz6uXdaV/5xbYrRYu7tYm2MsVkSYqrzie4b2/4vvcDhSWRvLzvlZ0mDwdF9a6X1xl62Dtg4TnreuL1XBimgbf7kjhhrTFjD3/s5Dd9uePgpWIiMhxYJomFRUVbNu+g/CwcF4edwuFZRV8/O+ZnN0hiVkfzWfMeacyIq1LsJcqIuI1b9SzhN87u9JAYCqFqkCaWATeYdzzM8ocYby+8gLe/q5fSLVTr4uClYiIyHEwbvxEVq5ZS6cO7fkx+yfKdu9j5d0XY5pgGGBgYLEcSwtjEZHjq+5ZVlA9ONW1PdD3dQY1NcIodYQRMyGj0YQrS923iIiISG0KCvazfeduRnc0GOjczrxLO/LJ6AuwWizYrBasFotClYg0ONkTxzG0ZxYRtrLD3zG9X6PDSmiXsJdrU5fTJi4fm8Xhc09gLIYLgOiwUip3G7RanAzrtZSciWOP9WM0GKpYiYiIHKPiX3Lpfiiakef3CPZSRETqlFuUwLA3xjB3xPPERRyqVLUyvF8PlkfidFmZO/IFAK7JGMeqnZ05UBpOmTOMQxXh+K9GuUNZtL2MIakrvN0KP1ifRsfEvWzKa4vFcOF0WRpN0woPVaxERESOUYfEaB65WKFKRELD1MyryNrSlSmZQ8grjueGtK9oGVOAe0AwWA0H7eL3kjVmEukzJrGnKJ55o55l9/5mFJTGcagigsohzO1INcowYPcjtzN9SAapbbYzfUgGOx6+g1Nb5HJrvwV8e9cD/KVfJnnF8Sf5k59YhmkGXs5La59kfjPudydwOSIi0hDYxs9dZZpmWrDXESr0+1FEQkFNZ6oibOXcePZiZi0fRJjVQbnTxug+XwAwa/kgDMwqzS2OMLFZnDhcVvydtYqwlZM9cZy3OtZYqlM1/Y5UxUpEREREpAnwnKmKtLvPVEXay7znnDyDhrPufAgDk5nLBjNz2WBcpqWGUAVg4HDZAAOL4az2vll3PsQ5z0xl6eHqWGOnM1YiIiIiIk2A70DgysN5Kw8a3jppDPd9NJz3N6RRUhFOpL2M5JhCtha0PHyH52yVO1Bd33MZFsPFnNXned/3rTV9mbP6PO97eoJahK280XQB9KWKlYiIiIhIE7GtoDnJMYV8ePOT3NJ3gd9zTpUDWLi1nJKKMHbvT+DU5rsxMDlyFssJGMSGl3CgLKJKxctflctiOBtVF0BfqliJiIiIiDQRHRP38vnmVOavP5cXr361xvs8Aax3u5/5eFNvyl1hHKoIY0TaV3y44WxaxRaSFFXEloJktuU35+PR07yv3TppDOkzJpGztxWVOwcO77W00Zyz8kfBSkRERESkkfNtXFHX1rzMzT1wmlY+3tTM+72d+1swe+UFgMn1Pb8GYNm2rmDCnqJ4WsXtr6FBhgG4KC6LPO6fqyFRsBIRERERaeSyJ46rdm7qqjNX8ORlb1a5r6bOgVUZzFw22Psst7gZ7Sa/5O0CeN9Hw3nruz64TCuealX7hH1VznE1RjpjJSIiIiLSyNXWuKKy7InjSGmey5HBv6bPY1elx1WVOsI45dFniYs4hMv0xAwDMNhR2ALb+DnETMggtyjBOx+rMVHFSkRERESkCfC0VB/dZyGzll/InqKEKtdr3sZXOVwZRNjKKXXYq3zPanHyx7OW8eRlb9Jhyov4m2vlaV4xJXOId0Bxbee8Qo0GBIuISDUaEFw/+v0oIo1BblFClW184bZybBYnAIfKw4kOL6V5dDG79zej3Gmv9nqr4aRs2kjv+7z93bk4TRueAGY1XH67BYZaC/aafkeqYiUiIiIiIt7tgpWrUmUcqWAdKIviQFkU/rYBApiHq1Se93GaVqyGE5dpcFryLjok7CUx6lCd57xClc5YiYiIiIgIcGS7YNadDzEybTFt4/cSaS8DwGK4uKTbanq13UKnZnlUPnuV0jyXFXdN9J6dyiuO5y/9Mvn2rge4td8CTm2Ry8ejpwV0zitUqWIlIiIiIiIAVTr3vXr9K9w+/yZmLR+E1XDiNC0s33YK+0ujibKXAhBmraDcacPhsvDKskFkbenKhE+uZ9+hWKYPeZVWcfuZPiTD+551nfMKZTpjJSIi1eiMVf3o96OINFZh984+3Da9huvWCpwui9+zU54zV41NTb8jtRVQRERERET82jZpDEN7ZhFhKzv8HXdRJsJWxrBeS/n5gTvZevge37NXTtPqbbHeFChYiYiIiIiIX63jCpm7ph+ljvDD33E3qCh1hDNndX9axe33NqswMLEYTjwBK9LuDl85E8cGZ/EnmYKViIiIiIjU6ILfbCAm7BCVm1XEhB0iPWWD95684nhu7beAq85cAbgbXTS25hR1UbASEREREZEaLfjrY7RP3Hf4mTtcdUjcR+ZfHvPeM2/Us0wfkoHTZeEv/TJZcddEbum7gLzi+CCsODjUFVBERERERGpVeCia7sk7ePC37zH186vIPxTj977KXQWnD8kgtyiB9BmTmDvi+UZfuVKwEhERERGRWu14+A7v42tTvwn4dVMzryJrS1emZA7hxatfPRFLazAUrEREREREpN5yixIY9sYYv9WomAkZlDrCvM9nLhvMzGWDibCVc+DxUSd5pSeHzliJiIiIiEitPFv69hQdOTNVuRrlK3viOIb2zCLS7m7T3hQ6BKpiJSIiIiLSxNVWfYKqIeq1FQPrrEZ5WrCXOexE2MqbRIdAVaxERERERJq4mqpPMRMysI2fw8xlg3GZFmYuG0ypIwyL4fRbjapc2corjueWvgvIuvOhJtEhUBUrEREREZEmKvpvGZQ5/VefsieOI7XNVlrHFfK/zamUVIQTaS/jqjNXYDFczFl9HhG2ckor7CzKPh2oGtB8OwQ2dqpYiYiIiIg0UdedtQwwsRoOoGr1aWrmVazYkcKPv7amzGEn3FpOSUUYVsPJgbIIbzXqtOSd5BYn0m7yS1UqW7bxc4iZkBHUz3cyqWIlIiIiItLE+Hbtc5ruWFBSEcZba/oyZ/V53msb89oDUOG0ArBkSzdyJt5FzIQMXv76t37f31PZevKyN0/UR2hwVLESEREREWlifLv2WS1OLum2hhvSFjO467oq18AEwIUVMNian4xt/BxcLmgRvZ8I25H3AJNwa9NoVuFLFSsRERERkSbGt2tfudNGh8S93iG+t8+/qVJHPxu/ab6HXfubVTlnZTWczF51PoD7rJXDzunJO5g9fAazll/InqKEYH7Ek07BSkRERESkCfJ07RvdZ2G1IOR77bNNqd6gVVIRVmWrIECpw3326tQWe0hts71JNKvwpWAlIiIiItIE1da1z/faNRnjuPi0tYzus5Bnv7qYhdlnkH8otkoF68nL3mxSW/98KViJiIiIiEitKgetV69/hdvn38Ss5YOazPDfQChYiYiIiIhIvdS2jbCpUrASEREREZF6aWrDfwOhdusiIiIiIiLHSMFKREREREQClluUQPqMSewpig/2UhoUBSsREREREQnY1MyryNrSlSmZQ4K9lAZFZ6xERERERKROMRMyKHWEeZ/PXDaYmcsGE2Er58Djo6rdn1uUwLA3xjB3xPNNomOgKlYiIiIiIlKn7InjGNozi0h7GQCR9jKG9VpKzsSxfu9vapUtVaxERERERKROreMKiYs4RJnDXuv8qvpWthoLVaxERERERCQgnvlVWXc+xC19F5BXXL2BRX0rW42FKlYiIiIiIhKQQOZXBVrZamwUrERERERE5LjyVLZG91nIrOUXsqcoIdhLOuEUrERERERE5LgKpLLV2OiMlYiIiIiIyDFSsBIRERERETlGClYiIiIiIiLHSMFKRERERETqLbcogfQZk9hTVL3lelOkYCUiIiIiIvU2NfMqsrZ0ZUrmkGAvpUFQV0AREREREQlYzIQMSh1h3uczlw1m5rLBRNjKOfD4KMBdzRr2xhjmjni+0c+v8lDFSkREREREApY9cRxDe2YRaS8DINJexrBeS8mZONZ7T1OsZqliJSIiIiIiAWsdV0hcxCHKHHYibOWUOezEhpfQKm5/QNWsxkoVKxERERERqZe84nhu6buArDsf4pa+C8grdjewCKSa1VipYiUiIiIiIvUyb9Sz3sfTh2R4H9dWzWrsFKxEREREROS48VSzRvdZyKzlF7KnKCHYSzopFKxEREREROS4qama1djpjJWIiIiIiMgxUrASEWlkpi3ayKKcvCrfW5STx7RFG4O0IhERacxyixJInzGJPUXxwV5KUClYiYg0Mmntkxg6O8sbrhbl5DF0dhZp7ZOCvDIREWmMmuLMKn90xkpEpJFJT0lm7sj+DJ2dxa19U5i5LIe5I/uTnpIc7KWJiEgj0pRnVvljmKYZ+M2G8Suw7cQtR0REjqM2QGsgF9hdz9d2NE2zxfFfUuOk348i0jSF2aF9O4hPAMMCpgv2F8L2HVDhCPbqTiC/vyPrFaxERERERESkOp2xEhEREREROUYKViIiIiIiIsdIwUpEREREROQYKViJiIiIiIgcIwUrERERERGRY6RgJSIiIiIicowUrERERERERI6RgpWIiIiIiMgxUrASERERERE5Rv8PqmkcCzNemPoAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.discriminant_analysis import LinearDiscriminantAnalysis\n", "from sklearn.svm import LinearSVC\n", "from sklearn.model_selection import train_test_split\n", "\n", "\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "\n", "fontSize=14\n", "\n", "X=np.reshape(I,(K*L,N)) #Combine the signals into a features vector X\n", "Xhat=np.reshape(Ihat,(K*L,2*(N+1))) #Combine the transformed signals into a features vector Xhat\n", "label=np.concatenate((np.zeros(L,),np.ones(L,),-1*np.ones(L,))) # Define the labels as -1,0,1 for the three classes\n", "label = label.astype(np.int)\n", "#split traning and testing data\n", "data_train, data_test, label_train, label_test = train_test_split(X, label, test_size=0.5, random_state=42)\n", "\n", "lda=LinearDiscriminantAnalysis(n_components=2)\n", "svm=LinearSVC()\n", "\n", "fig,ax=plt.subplots(1,2,figsize=(15,5))\n", "\n", "dataLDA=lda.fit_transform(data_train,label_train)\n", "dataLDA_test = lda.transform(data_test)\n", "\n", "print(\"Test accuracy in signal space:\",lda.score(data_test, label_test) )\n", "\n", "for i in range(3):\n", " l = [0, 1, -1][i]\n", " c = ['b*', 'ro', 'kx'][i]\n", " ax[0].plot(dataLDA_test[label_test==l,0],dataLDA_test[label_test==l,1],c)\n", "\n", "x_min, x_max = dataLDA_test.min(axis=0)[0], dataLDA_test.max(axis=0)[0]\n", "y_min, y_max = dataLDA_test.min(axis=0)[1], dataLDA_test.max(axis=0)[1]\n", "nx, ny = 400, 200\n", "xx, yy = np.meshgrid(np.linspace(x_min, x_max, nx),np.linspace(y_min, y_max, ny))\n", "svm.fit(dataLDA,label_train)\n", "Z = svm.predict(np.c_[xx.ravel(), yy.ravel()])\n", "Z = Z[:].reshape(xx.shape)\n", "ax[0].pcolormesh(xx, yy, Z,cmap='OrRd')\n", "ax[0].contour(xx, yy, Z, linewidths=.5, colors='k')\n", "ax[0].set_xticks([])\n", "ax[0].set_yticks([])\n", "ax[0].set_title(\"LDA projections in signal space\",fontsize=fontSize)\n", " \n", " \n", " \n", "lda=LinearDiscriminantAnalysis(n_components=2)\n", "svm=LinearSVC()\n", "data_train_h, data_test_h, label_train, label_test = train_test_split(Xhat, label, test_size=0.5, random_state=42)\n", "\n", "dataLDAh=lda.fit_transform(data_train_h,label_train)\n", "dataLDA_test_h = lda.transform(data_test_h)\n", "print(\"Test accuracy in transform space:\",lda.score(data_test_h, label_test) )\n", "\n", "for i in range(3):\n", " l = [0, 1, -1][i]\n", " c = ['b*', 'ro', 'kx'][i]\n", " ax[1].plot(dataLDA_test_h[label_test==l,0],dataLDA_test_h[label_test==l,1],c)\n", " \n", "x_min, x_max = dataLDA_test_h.min(axis=0)[0], dataLDA_test_h.max(axis=0)[0]\n", "y_min, y_max = dataLDA_test_h.min(axis=0)[1], dataLDA_test_h.max(axis=0)[1]\n", "nx, ny = 400, 200\n", "xx, yy = np.meshgrid(np.linspace(x_min, x_max, nx),np.linspace(y_min, y_max, ny))\n", "svm.fit(dataLDAh,label_train)\n", "Z = svm.predict(np.c_[xx.ravel(), yy.ravel()])\n", "Z = Z[:].reshape(xx.shape)\n", "ax[1].pcolormesh(xx, yy, Z,cmap='OrRd')\n", "ax[1].contour(xx, yy, Z, linewidths=.5, colors='k')\n", "ax[1].set_xticks([])\n", "ax[1].set_yticks([])\n", "ax[1].set_title(\"LDA projections in transform space\",fontsize=fontSize)\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.7" } }, "nbformat": 4, "nbformat_minor": 4 }