m-thesis-introduction/simulations/08_find_beacon_phase_delay....

251 lines
122 KiB
Plaintext

{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Find Sine delay in Beacon"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import signal\n",
"\n",
"\n",
"import os\n",
"import sys\n",
"# Append parent directory to import path so lib can be found\n",
"sys.path.append(os.path.dirname(os.path.abspath(os.getcwd())))\n",
"from lib.util import *\n",
"\n",
"from lib.timing import *"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"us = 1e3 # ns\n",
"ns = 1/us # us\n",
"\n",
"samplerate = 500 # MHz\n",
"timelength = 0.2 # us\n",
"\n",
"\n",
"beacon_time = np.arange(0, timelength, 1/samplerate)\n",
"f_beacon = 70 # MHz\n",
"\n",
"\n",
"beacon_init_phase = phase2time(42/ns, f_beacon)\n",
"beacon_phase_offset = 1.2*np.pi\n",
"\n",
"beacons = np.array([\n",
" sin_delay(f_beacon, beacon_time, phase=-beacon_init_phase),\n",
" sin_delay(f_beacon, beacon_time, phase=-beacon_init_phase-beacon_phase_offset)\n",
"])\n",
"\n",
"ref_time = np.arange(0, 1/f_beacon, 1/samplerate)\n",
"ref_beacon = sin_delay(f_beacon, ref_time, t_delay=0, phase=0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Reference Delay"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Cheat Time Delay [ns]: 2.8311078050095477 \\pm [0. 0.]\n",
"Calculated Time Delay [ns]: 2.857142857142857 \\pm [-1. 1.]\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA7UAAAEWCAYAAAC5TrBcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAgAElEQVR4nOzdd3xUVf7/8ddJ74SeAiEUAYHQgyIQEJGmolhQggq4a+W7rrvrFvXr6n73t25zd9VdsaCAKAFRlLXRFAkoKB0CEooQUkgISUglfc7vjzOTmYR0kkwSPs/HYx6Z3Dv33jMlmfu+pymtNUIIIYQQQgghRFvk4uwCCCGEEEIIIYQQjSWhVgghhBBCCCFEmyWhVgghhBBCCCFEmyWhVgghhBBCCCFEmyWhVgghhBBCCCFEmyWhVgghhBBCCCFEmyWhVgghhFMppeYppTY54bjPK6Xea+nj1qYhZVJKbVVK/bQZyjBAKbVfKZWnlHq8qfffXJRSC5RS3zi7HEIIIVqehFohhGhHlFIJSqlCayDJVkrtUEo9opSq1/97pdQkpVRyc5fTkdZ6pdZ6akseU9TqN8BWrbW/1voVZxdGCCGEqIuEWiGEaH9u0Vr7A72AvwC/Bd5uiQMrpdxa4jiiWfUCjjRmQ3n/hRBCOIOEWiGEaKe01jla60+Au4H5SqkhAEopT6XUi0qpRKXUOaXU60opb6WUL7AeCFFK5VtvIUopF6XU75RSPyqlMpVSa5RSnaz7CldKaaXUT5RSicAWh2ULlVJJSqkL1triSKXUIWsN8n9s5azabNS67SNKqRPWbV9VSimH9Q8opY5a121USvWq7vk7lOMhpdRZpVSqUupXVR7moZRaYa3ZPqKUGu2wve055ymlflBKzXZY108pFauUylFKZSil3ndYN1AptVkplaWUOqaUmlPTe6SU6m3dT55SajPQpcr6a6217dlKqYNKqUk17KevUmqL9f3JUEqtVEoFWtf9Wim1tsrj/62Ueqma/WwBrgf+Y33/+yulOlhfo/NKqTNKqf+11fxb37tvlVL/UkplAc9Xs09PpdRL1vfgrPW+p3XdJKVUslLqV0qpdOt7tLDKtpd8Vmt6Pc0m6t/W9yVeKXWDw4oOSqm3rcdIUUr9P6WUa12vn3V9T6XUR9bXINP2+VXmb+N/ra9LuvV16mBdZ/v8zbeWP0Mp9UwtZRdCCNFIEmqFEKKd01rvApKBCdZFfwX6A8OBfkAo8HutdQEwAzirtfaz3s4CjwO3AROBEOAC8GqVw0wErgamOSy7BrgKE6pfAp4BpgCDgTlKqYm1FPtmIBIYBsyx7VcpdRvwNHA70BXYDqyq4yW43lqOqcDvlFJTHNbNAlYDgcAnwH8c1v2Iec06AH8A3lNKBVvX/RHYBHQEegD/tpbPF9gMxADdgLnAYqXU4BrKFgPsxYTZPwLzbSuUUqHA58D/AzoBTwJrlVJdq9mPAv6MeX+uBnpiD5jvAdMdQq4b5j15t+pOtNaTMa/p/1jf/+PW59YB6IN5n+8HFjpsdg1wyvp8/1RN2Z4BrsV83oYBY4D/dVgfZN1/KPAT4FWlVEfrumo/q9Uco2pZugDPAR8p6wUY4B2gzLqfEZjPg61Pco2vnzX4fgacAcKtZVht3W6B9Xa99fXxo/JnCGA8MAC4Afi9UurqWsovhBCiMbTWcpOb3OQmt3ZyAxKAKdUs/w4TLhRQAPR1WDcWOG29PwlIrrLtUeAGh9+DgVLADXOSr4E+Dutty0IdlmUCdzv8vhZ4wnp/AfCNwzoNjHf4fQ3wO+v99cBPHNa5ABeBXtU8Z1s5Bjos+xvwtvX+88CXDusGAYW1vLYHgFut91cAbwI9qjzmbmB7lWVvAM9Vs78wTMjydVgWA7xnvf9b4N0q22wE5lvvbwV+WkNZbwP2O/y+HnjQev9m4IdanmfFfgFXoBgY5LD+YUyfW9t7l1jHZ/JHYKbD79OABIfPWyHg5rA+HROCa/2sVnOcBcBZQDks2wXcB3S3Pg9vh3Vzga/rev2sxzzvWEaHx30FPObw+wAu/dvoUaU899T1dyw3uclNbnJr2E36vgghxJUhFMjC1G76AHuVQ4teTHipSS/gY6WUxWFZOSYo2CRVs905h/uF1fzuV8sx0xzuX3R4bC/gZaXUPxzWK8zzO1PDvhzLdgaIqOU4XkopN611mVLqfuCXmHCCtQy25sG/wdSs7lJKXQD+obVeai3fNUqpbIf9ulFNrSjWWm9tasgdy9fT4bnepZS6xWG9O/B11R0ppboBr2Bqlv0xYf+Cw0PeAR4FlgD31lCe6nQBPKj82p7BvN421b33jkKq2T7E4fdMrXWZw++297sxn9UUrbWu5li9MK9dqsO+XGxlr+P16wmcqVLG2p6bG5X/Nmr6LAshhGgi0vxYCCHaOaVUJCaEfANkYALlYK11oPXWQWttO9HW1ewiCZjh8PhArbWX1jrF4THVbdcckoCHq5TFW2u9o5ZtejrcD8PU5tVKmX66S4D/ATprrQOBw5hQhdY6TWv9oNY6BFNzuVgp1c9avtgq5fPTWj9azWFSgY7WJsuO5XN8ru9W2Zev1vov1ezrz5j3YKjWOgATXJXD+nXAUGX6Vd8MrKzrNbDKwNQ8OvZbDgMa8t6frWb7Ot8D6v6sVidUOaRWh2MlYWpquzjsK0BrbWsWXtvrlwSEqeoHwaruuZVR+QKOEEKIZiahVggh2imlVIBS6mZM/7/3tNZxWmsLJqz9y1o7hVIqVCll6wt7DuhsG+zG6nXgT9agh1Kqq1Lq1pZ7JpW8Djxl66NqHfznrjq2eVYp5WPdZiHwfh2PB/DFhJzz1uMsBIbYViql7lJK9bD+esH62HJM38v+Sqn7lFLu1ltkdf0otdZngD3AH5RSHkqp8YBjrex7wC1KqWlKKVellJd1YKUeVfeFqV3MB7KtfXF/XeVYRcCHmObNu7TWifV4DdBal2Oaf/9JKeVv/Qz80lq2+loF/K/1c9MF0ye2zu3r8VmtTjfgcevrfhemf+wXWutUTB/of1j/Llysg0PZ+nXX9vrtwlyA+ItSytf6PoxzeG6/UGbALz/gBeD9Gmp1hRBCNBMJtUII0f58qpTKw9QwPQP8k8oD+/wWOAl8p5TKBb7E9AVEax2POVE/pcyIuyHAy5hBlDZZ9/sdZkCeFqe1/hgzeNBqa9kPYwa3qk0s5vl+Bbyotd5Uj+P8APwD2IkJ+hHAtw4PiQS+V0rlY16bn2utT2ut8zADEN2DqcVLs5bXs4ZDRWNeyyzMwEYrHMqQBNyKGRjrPOb9/DXVf3f/ARgJ5GAGl/qomse8Y30e9W16bPMzTN/WU5ja/hhgaQO2/3+Y8H4IiAP2WZfVR42f1Rp8jxkULAMzaNWdWutM67r7MU2pf8BciPgQ0z8cann9rMH+FswAU4mYQdfutq5eink9twGngSLM6yWEEKIFqcpdT4QQQoj2QSkVjgka7lJzBkqpMCAeCNJa5zq7PEIIIURTkZpaIYQQop1TZl7ZXwKrJdAKIYRob2T0YyGEEKIdsw5EdQ4zMu90JxdHCCGEaHLS/FgIIYQQQgghRJslzY+FEEIIIYQQQrRZTm1+rJRaipkvL11rPaSux3fp0kWHh4c3e7mEEEIIIYQQQrS8vXv3ZmituzZkG2f3qV0O/AeHKQxqEx4ezp49e5q1QEIIIYQQQgghnEMpdaah2zi1+bHWehtmbj4hrhwXL4L0ZRdCCCGEEKJJOLumtk5KqYeAhwDCwsKcXBrRUEVlRZzNO8vZvLOk5KaYn3mVf57NO0uAZwBRvaKICotiYvhEBnUdhItqB12+tYYzZ2DbNnPbvh2OHwcvLwgNhR49zK26+927g6urs5+BEEKI9iI7GxITISAAOnQAf39wa/WngkIIUSenj36slAoHPqtPn9rRo0draX7cOpRbykkvSK8cUqsJrVmFl1bEe7l5EeofSmhAKCH+IYT4hXCu4ByxZ2JJzk0GoLN3Zyb0msDEXhOZ2GsiQ7sPxdWlDQQ8reHoURNebUE22TwnAgNhwgQYPRry8iAlxaxLTjb3S0oq78vVFUJCag+/ISHg6dnyz1MIIUTrZ7HAvn2wYQOsXw/ffWeWOfL1NQHXFnSr/qzPOh8fUMo5z1EI0e4opfZqrUc3ZBu5PCcq0VqTW5xbKahWrVlNyU0hLT+Ncl1eaVsX5UKQXxCh/qH06diHCWETCPEPqQivof7mZ6BXIKqaLz+tNaezT7PtzDZiz8QSmxDLuvh1AHTw7MD4sPFM7DWRqF5RjAweibure4u8JrUqK4ODB+0hdvt2yMgw64KCICrKfhs8GFxqqH3W2mznGHJt95OT4fBhc0JSUHDptt261Rx8bb/7+TXfayCEEKL1SE+HTZtMkN240f6dNHo0PP00RESY75KcHMjNNT8d7+fmmu8d2+/5+XUf09X18kKx7ad7K/heF0K0SVJTewUpLiu2NwV2rF3Nr1zLerH04iXbdvTqeElAtYVU27Luvt2bvDY1KSepIuRuO7ONY5nHAPB192Vc2LiKkBsZEomnWwvUWBYXw+7d9gD77bem1hWgTx8TXidMMD/79m3aK9dam5OMqoG3ao1vZual23boUHMzZ9v9Tp3kSrsQQrQ1ZWWmBnbDBnPbu9cs79IFpk2D6dNh6lRzAbQxysvN91zV4FtdGK5pXU4OlJbWfSxv78aFYcefvr41X0AWQrQJjampdWqoVUqtAiYBXYBzwHNa67dreryE2upZtMXeFLiGfqspuSlkFl4adrzcvCrVolYNqqH+oQT7B+Pj7uOEZ3aptPw0tp/Zbmpyz8RyOP0wYJ7HtT2urWiufG2Pa/F29778A+bnw86d9qbE339vgi2YmldbLeyECSYYtgaFhfagWzXw2u6npV06WJWXV801vbb73bpJP18hhHC25GRTC7thA2zebEKjiwuMHWtC7PTpMHJk6wp3RUUND8NVl+Xl1T3QolL2gBsYCNdfD9HREBkpF26FaCPaXKhtqCst1NqaAtfVbzUtP40yS1mlbV2UC919u1/S9LdqaO3o1bHapsBtRebFTLYnbic2IZZtids4kHYAi7bg7uLOmNAxFTW548LG4edRjya4mZnwzTf25sT79pmr1K6u5gTBVgs7fjx07tz8T7C5lJaaYFtTba/tZ9Ur67Z+vrXV+oaEgIeHc56XEEK0R8XF5rvJVht72FzQJTTUHmJvuAE6dnRuOZubxWIuNte3tjgtDb7+2oxZcdVVJtxGR0P//s5+JkKIWkiobQfiM+JZfmA5nxz7hMScRApKL+1DGegVWDmc+l3ab7W7X3fcXK68LtM5RTl8k/hNRZPlPWf3UK7LcVWujAoZVTG68viw8QR6BZrg5tgf1nai4OkJ11xjD7Fjx5pRIq8kFkvlfr7Vhd+kJDNFUVXdutnD7qhRcP/90Lt3yz8HIYRoq3780R5it2wx/2vd3c33ki3IDhkitY91yc6GtWshJsYEXK1N/+J58+DuuyE42NklFEJUIaG2jcopyuH9I++z7MAyvkv+DlflypQ+UxjUdVC1tautpSlwW5Bfks/OpJ3Wgae2khm3i2tOlxJ1BqYke9Azw4w4bPHzxWXceHtT4shI0xxX1E5rczW8ptrepCQ4csQ8btIkWLgQ7rjD9HkSQghhd/EibN1qH6n45EmzvHdvmDHDhNjrr5eB/y5HSgqsXm0C7r59pnn25Mkm4M6ebZosCyGcTkJtG1JuKWfL6S0sO7CMj+M/pqisiEFdB7Fw+ELuHXovQX5Bzi5i22exmEBlq4Xdtg1SUwG4GODNvn6+fNI9h696lnKwOwwMGmz65IabJsvyHjSRxERYsQKWLzc1D/7+MGeOCbjXXSe1DEKIK5NtCjhbbey2baaZsbe3Ca+22th+/eT/ZHM4ehRWrYKVK+HUKdNC65ZbTMCdMUOmyxPCiVok1CqlXAA/rXVugzZsAu0h1J7IPME7B99hxcEVJOUmEegVSPSQaBaOWMio4FFtun+r05WWwv799kGdvvkGLlww60JDYeJEe3PigQPBxYWS8hJ2p+yuaK78bdK35JeY6Qv6d+5f0Vx5Yq+J9OzQ04lPrh3Q2lxcWLYMPvjATCnRvz8sWGCaJ7eWgbaEEKK55OTAV1/Zg2xSkll+9dX22tgJE6SlUEvS2gwCGRNjanHPnzcDTN15pwm4UVGta8AtIa4AzRZqlVIxwCNAObAX6AD8U2v998YUtLHaaqjNK85jzZE1LD+4nG8Sv8FFuTCt7zQWDF/ArAGz8HKTL69GKSw0X0S2WtgdO+z9O6+6qvLIxOHh9brSXWYpY3/q/oophLYnbie7KBuA8MDwitGVJ4ZPpHdgb7kI0Vj5+SbYLl9u3jsXFzPlxMKFMGuWnNAJIdoHi8XMZW4LsTt2mCl4/P1hyhQTYqdNg169nF1SAea9+fJLU3v78cfm4mtoKMydawLusGFSay5EC2jOUHtAaz1cKTUPGAX8FtirtR7auKI2TlsKtRZtITYhlmUHlrH26Foull5kQOcBFc2LQwOkVqrBcnLMCYGtOfGuXaZ2VikYOtReCzthAgQ1TdPhcks5celxlebKzbhoJrIP9Q+tqMWN6hXFgM4DJOQ2xsmT8M475paUZEbvjI42AXfkSDmBEEK0LRkZZpqdDRvMtDvnzpnlI0bYmxSPHWsGfRKt18WL8MknJuBu2GAC79VXm3AbHS2DHwrRjJoz1B4BhgMxwH+01rFKqYNa62GNK2rjtIVQe/rCad45+A7vHHyHhOwEAjwDmDtkLguGL+Ca0Gsk9DREerppQmxrTnzwoLnq7eZmRi60hdhx41psGgOtNUczjhKbEFsxV25afhoA3X27E9UriqheUUzsNZHB3QbjoqTJUr2Vl5sRPpctg48+Mn3LIiJMuJ03z4yoLIQQrU15ubnIaquN3b3bNGnt1Mm0QJkxw/xsooutwgkyM03ropUrzXkJmAsT8+aZMSK6dnVu+YRoZ5oz1D6OqZ09CNwEhAHvaa0nNKagjdVaQ21BSQEf/vAhyw4sI/ZMLArFlD5TWDh8IbcNvA1vd29nF7FtSEysPKhTfLxZ7uVlvjxstbDXXttqRs/VWnMy62RFLW7smVgScxIB6OTdiQlhEypqcocHDcfVxdXJJW4jsrNN36Zly8zJopsb3HyzCbgzZkgNhxDCuVJTTS3shg2waZMZv8HFBcaMsdfGjh5t5vYW7cuZM/YBpg4fNu/x1Kkm4N56q4xO3U6VlpaSnJxMUVGRs4vSrnh5edGjRw/cq5zXtejox0opN611WaM2bqTWFGq11mxP3M7yA8v54IcPyC/Jp1+nfiwYtoD7h90vgwrVV1wcvPYafPGF+aIAM6T+uHH2PrGjRoGHh3PL2QAJ2Qkm4Fprc3+88CMAAZ4BjA8bz6Rek4iOiJYm6PV15Ijpe/vuu6YZX7ducN99JuAOHuzs0gkhrgQlJab7i6029uBBszwoyB5ip0yBzp2dW07RsuLiTLiNiTHdZ3x8TLCdN88EXbkA226cPn0af39/OnfuLK0um4jWmszMTPLy8uhdpTl/k4dapdQv6yjMPxtysMvVGkJtYk4i7xx4h+UHl3Pqwin8PPy4e/DdLBi+gHE9x8kHvT5KSkzz0ldfNc14vLxg5kwzOnFUlGly2o6ubqfkplTqk3s04yiuypXbBt7GY5GPcX349fK5qY/SUnMyuWwZfPqp6d8UGWnC7T33tFgTdCHEFSIhwR5iv/rKDHDn5gbjx9uD7NCh0u9fmK5R335rAu4HH0BWlrnAMWeOCbhjx8oIym3c0aNHGThwoJyvNTGtNfHx8Vx99dWVljdHqH2ujoL8oSEHu1zOCrUXSy/y8dGPWXZgGVtOb0Gjmdx7MguGLeD2q2/H16N1NIVt9ZKS4I03YMkS01+2Tx949FETSq6gq9unL5zm9T2v8/b+t8kszGRgl4E8Nvox7h92Px28ZOL3ejl/3pw8LFsGhw6Z+QRvu818lqZMaVcXRYQQLaSw0HR9sQVZWxeYXr3sIXbyZAgIcG45RetWUmKapq9caQaaKiw0n6HoaBNwpYVRm3T06NFLgpdoGtW9ti3a/NgZWjLUaq3ZmbyTZfuX8f6R98kryaN3YG8WDDfNi8MDw1ukHG2exWKucC9ebP65a236Rj72mGmacwVfuSwqK2LNkTUs3r2Y71O+x9fdl3uH3stjkY8xtHuLDizedmlt5iZetsw0/8rKgh49zLy3CxdCv37OLqEQojXLyjL/Oz7/HLZuhaIic5Fs0iR7kB0wQGpjRePk5cG6dSbgbt5szomGDjXhdu5c6Cld1doKCbXNp0VDrVLKC/gJMBiomEBSa/1AQw52uVoi1CbnJvPuwXdZfnA5xzOP4+Puw12D7mLh8IVM6DVBRrOtrwsXzBQtr70Gx49Dly7w05/Cww+bOWNFJXvP7mXx7sXEHI6hqKyIcT3HsShyEXcMugMP17bTn9ipiovNhZNly8xVcovFDCy2YAHcdZeZF1IIIQD27jVdYFatMkF2wAB7iI2KMn0jhWhK587BmjUm4H7/vVkWFWUC7p13mtGyRavVGkKtq6srERERlJWV0bt3b959910CAwNr3eaVV17htddeY+TIkaxcubKFStowLR1qPwDigWjg/4B5wFGt9c8bcrDL1VyhtqisiHXx61h+YDmbT23Goi1E9YpiwbAF3DnoTvw95WS43vbvN7WyK1eaJjdjx5pa2TvvNH1nRa2yCrNYfmA5r+15jZNZJ+nm240HRz7IQ6MeIqxDmLOL13akpJiBpZYtMxdVfH3NZ3DhQnMSIbUuQlx5iopMqHj1VTOquq8v3Huv6QYzrEVnKBRXupMn7SMoHztmBpSaOdM0Ub7lFvCWWTNam9YQav38/MjPzwdg/vz59O/fn2eeeabWbQYOHMj69esvGYipJmVlZbi5uV12WRuipUPtfq31CKXUIa31UKWUO7BRaz25QaW+TE0ZarXW7D67m2X7l7H6yGqyi7IJ6xDG/GHzmT9sPn079W2S41wRiorMwAiLF8N335l/xvPmmTA7YoSzS9cmWbSFzT9uZvGexXx2/DMAZg2YxWOjH+OGPjdIi4H60hp27jTh9v33TVOwPn1M7e38+RAmFwqEaPdOn4bXX4e33zbzjQ4caL6f7r/fjLYvhLPYutCsXGlCbmqqaVU0e7Y5j5o82QxOJpzOMXg9seEJDqQdaNL9Dw8azkvTX6r1MY6h9vXXX+fQoUMsXrwYgL///e+sWbOG4uJiZs+ezR/+8AceeeQRli5dyoABA3jggQd46KGH+NnPfkZcXBxlZWU8//zz3HrrrSxfvpzPP/+coqIiCgoK2LJlS7X7S0hIYMaMGYwfP54dO3YQGhrKf//7X7y9vTl58iSPPPII58+fx9XVlQ8++IC+fftWu5/aXlubxoTa+v6llFp/ZiulhgBpQHhDDtRapOal8t6h91h+cDk/nP8Bbzdv7hh0BwuGLeD63tdLWGiIhAT7iUJGBvTvDy+9ZMJCHc0hRO1clAvT+k1jWr9pnMk+wxt73+CtfW+xLn4d/Tv359HRjzJ/2Hw6esuIv7VSCq67ztxeesmMur1sGfz+9/Dcc3DDDab2dvZsuTIuRHtisZjBnl59FdavN+M33HabCbPXXy+tNUTroBSMHGluf/sbxMaagPvhh7BiBXTvDnffbQJuZKR8bgUA5eXlfPXVV/zkJz8BYNOmTZw4cYJdu3ahtWbWrFls27aN119/nQ0bNvD111/TpUsXnn76aSZPnszSpUvJzs5mzJgxTJkyBYCdO3dy6NAhOnXqVOP+wsLCOHHiBKtWrWLJkiXMmTOHtWvXcu+99zJv3jx+97vfMXv2bIqKirBYLDXuJyoqqllel/qG2jeVUh2BZ4FPAD/g981SomZQXFbMp8c/ZdmBZWw4uQGLtnBdz+tYcssS7hp0l4w42xAWi+mvuHixGVhDKTMn22OPmSuKV/DAT82lV2AvXrjhBZ6b+Bwf/vAhi/cs5hcbf8HTXz3NvIh5PBb5GCOCpUa8Tr6+Zn7b++4zNTfvvGPmv503z9TW3HOPCbhjxsiJgxBtVWYmLF1qxnM4fdrMI/vss/Dgg2YQOSFaK1dXcx41ebK5GPPFFybgvv46vPKKGfjQNoJy//7OLu0Vra4a1eZSWFjI8OHDSUhIYNSoUdx4442ACbWbNm1ihLV1ZH5+PidOnLgkPG7atIlPPvmEF198EYCioiISExMBuPHGG+lk7ddd0/7CwsLo3bs3w4cPB2DUqFEkJCSQl5dHSkoKs2fPBsDL2t2wvuVqKvUKtVrrt6x3Y4E+zVKSJqa1Zl/qPpYfWE7M4RiyCrMI9Q/lt+N+y4LhC+jfWf4hNEhmpqnheu01OHXKXD185hl46CEZva+FeLp5Mm/oPOYNnceBtAMs3r2YlXEreWv/W1zb41oWRS7izkF34uUmfZfr1Ls3PP+8qbGNjTWf7RUrzJRTgwaZ5sn33WdOiIUQrd+uXeZi6+rVZtC4qCj4y19M7ayHDLYn2hgvL7j9dnPLzjatjFauhD/+Ef7v/2D0aBNw77kHgoOdXVrRQry9vTlw4AA5OTncfPPNvPrqqzz++ONorXnqqad4+OGHa91ea83atWsZMGBApeXff/89vr6+lR5X3f4SEhLw9PSs+N3V1ZXCwkJq6spa33I1lXpVqymlPJVS0Uqpp5VSv7fdmrtwjZFekM4/d/6TYa8PY/SS0SzZt4Spfaey8d6NnHniDC/c8IIE2obYvduc4IeGwq9/bX6uWgWJieafqwRapxgeNJw3b3mTlF+m8NK0l8gqzOK+j++j57968tSXT5GQneDsIrYNLi6mKeKKFZCWZuZQDgyE3/zG1Orccos5mSgpcXZJhRBVFRaaC1KRkXDNNbB2LfzkJxAXZy5WzZkjgVa0fYGB8MADZnrEpCR48UXTau6XvzTfUzfeaP4OcnKcXVLRQjp06MArr7zCiy++SGlpKdOmTWPp0qUV/W1TUlJIT0+/ZLtp06bx73//uyKE7t+/v9r913d/NgEBAfTo0YN169YBUFxczMWLFxu8n8tV37ai/wVuBcqAAodbq8HlFmYAACAASURBVFBSXsK6+HXcuvpWQv8Zyq82/Qofdx9eu+k10p5MY9Udq5jadyquLq7OLmrb4HiiMGaM6duxcCEcOmQmpr/nHjlRaCUCvQL5+bU/J35RPJvv28yEsAn8bcff6PNyH25ZdUtFc3tRDwEBZtqpb7+F+HhzEWffPrjjDnMx54kn4OBBZ5dSCHHyJDz5pPm7fOABuHjRNNdMSTE/hwxxdgmFaB6hofCrX5kpqX74wbSYO3XK/B10724u5GzaZEKvaNdGjBjBsGHDWL16NVOnTiU6OpqxY8cSERHBnXfeSV5e3iXbPPvss5SWljJ06FCGDBnCs88+W+2+67s/R++++y6vvPIKQ4cO5brrriMtLa1R+7kc9R39+LDWusm/JZRS04GXAVfgLa31X2p7fNXRjw+mHWT5geW8F/ceGRczCPIL4v6h9zN/+HwGdR3U1MVt/06eNH03li4188wOGmT6yt53nznhF21CUk4Sb+59kyX7lnCu4Bx9O/bl0dGPsnDEQjp5yzx4DVJWBps3m4s8//2vqbEdMcJc5ImOhs6dnV1CIa4M5eWmj+HixWYAKDc3M8DbokUyTZe4smlt5r21jaCcmQnh4abVwsKFJgiLy9YapvRpr1p6Sp83gX9rreMaVMra9+kKHAduBJKB3cBcrfUPNW0zevRovWHbBmLiYlh2YBkH0g7g4erBrAGzWDh8IVP7TsXNRYY+b5CaThQeewwmTpQThTaspLyEj45+xOLdi9meuB0vNy/uGXIPiyIXMTqkQf8nBJgThVWrTMDdt8+0Vpg1y5w0TJ0q0y4I0RzOnzcj7L/+Opw5AyEhZiyHBx8094UQdsXF8PHHpivNli2mi81NN5m/lxkz5HvqMkiobT4tHWp/APoBp4FiQAFaaz20IQerss+xwPNa62nW35/C7PTPNW3TsW9HXbCggFJLKaOCR7Fg+ALmDplLZx+pLWkwOVG4ohw6d4jXdr/Gu4fepaC0gMiQSBZFLmLO4Dl4u8tUNg126JAJt++9Z6azCg42c14uXAhVBmAQorUqs5SRU5RDdlE2OcXmZ3ZRNjlFORSWFTqvYFrT/XACQz6Mpd+X+3EtLSN5VH8O3zmBhInDsLhJVyIh6hKQlM6gT3Yy8NOd+GTlkd+1A/G3jOXorOvIC5Hz5oYa7T6a8KvCnV2MdinhRAJ7SvdUWrZozKJmC7W9qluutT7TkINV2eedwHSt9U+tv98HXKO1/p8qj3sIeAjAJcRl1BNLn2DB8AVEdI9o7KGvXFrDd9+ZPkcffGCaUl5/vWm+NWsWuLs7u4SimeUW57Li4AoW717M0YyjdPLuxAPDH+DRyEfp07FNDGzeupSUmKmtli0zLR7Ky2HsWDO42pw5Ml+zaFZFZUWVgmjFfYeAWl1gtd0vKG01Q2MA4F0Ccw/Dol0wMg1yPeCd4fDaaDjazdmlE6JtciuHm4/Dg3th+kmzbHNfWDISPhkApVJ5Wy/rp66nS68uzi5Gu5RxJoMZm2ZUXvg8TRtqlVIBWutcpVS1HfG01lkNOViVfd8FTKsSasdorX9W0zajRo/Se/fsbewhr1wFBRATY5oYHzhg+sfOnw+PPgrSlOKKpLVma8JWFu9ZzMdHP8aiLUzvN51FkYuY3m+6DKrWGGlppuZ2+XI4cgQ8PU1T/gULYMoUMwehEFZaa/JL8msOojWEVMf7JeW1j8rt5uJGB88OBHoFVtw6eHUg0NPhvm25w+M6eHXA280b1ULdT1xP/Ij32+/g9d5qXLJzKBs0kIsPPUDx3Xeg/f1apAxCXAlckpLxXrEKrxUxuKacxdK1C4Xz7qZo/jzKr+rr7OK1aukJ6QwYKC2xmsOx+GN0C6985bK7X/cmD7Wfaa1vVkqdBjSm2bGN1lo3umqnMc2Pqw4UJepw7JiZV3b5cjPUe0SEqZWdNw/85ERBGCm5KSzZt4Q3975Jan4qvQN788joR3hgxAN08ZGrkg2mtelzu3y5uZiUlWUG6rjvPnMxaeBAZ5dQNIEySxm5xbnVhtDagqhjc9+6Rib3dvOuMXhWF0SrLvdx92mxYNpg5eXw2Wem5dDmzaav3513mvEcxo+X8RyEaE7l5bBxo+l7++mn5veJE00XtDvuMPPkikqkT23zadE+tc1BKeWGGSjqBiAFM1BUtNb6SE3bSKith7Iy8w9q8WL48kvTpNh2ojBunJwoiBqVlpeyLn4di/csZmvCVjxdPZkzeA6LIhcxJnRM6z05bs2Ki82J+/LlsH69OXG49lpTe3v33dI8uQ1Iy09jzZE1fHLsE9Ly0yoCan5Jfp3bBngGVB88PSuH0OoCagfPDni6edZ5jDbn3DkznsMbb5j5znv0gIcfNtNpBQU5u3RCXHlSU8131FtvmemBOnY0F2EffFCmx3Igobb5tPRAUSOrWZwDnNFalzXkgFX2OxN4CTOlz1Kt9Z9qe7yE2lqkpZkrbm+8Yebq69kTHnnEDOnevbuzSyfamCPpR3htz2usOLiCvJI8RgaPZFHkIu4Zcg8+7j7OLl7blJZmplxYtkyaJ7dyOUU5fBz/MTFxMXx1+iss2kJEtwj6depXZy2pbV2AZ4A047fRGnbsMBdbP/gASkvhhhtMy6FbbpERWYVoDSwW+Pprcy750Ufm7/Taa024vftu8PV1dgmdqjWEWldXVyIiItBa4+rqyn/+8x+uu+46p5bJ0d69e1mwYAGFhYXMnDmTl19+uV4VIi0dar8DRgKHME2QI4CDQGfgEa31poYctLEk1FahNWzfbk4U1q41tbRTp5pa2ZtukhMFcdnyivN479B7vLr7VY6cP0KgVyALhy/k0dGPclXnq5xdvLapuubJISFm9GRpnuw0RWVFfHHiC2LiYvjs+GcUlxfTp2MfoodEMzdirsx93hgFBeZCzuLFcPCgGc9hwQIznoN8zoVovTIyYMUKE3Dj48Hf38zN/uCDMGqUs0vnFK0h1Pr5+ZGfb1oJbdy4kRdeeIHY2FinlsnRmDFjePnll7n22muZOXMmjz/+ODNmzKhzu5YOtauBP9qaBiulBgG/Bv4IfKS1Ht6QgzaWhFqrvDwzIM3ixXD4sGnCuHChqZnt39/ZpRPtkNaa7YnbWbx7MWuPrqXMUsbUvlNZFLmIm666SWqkGqu65snXXGNvntyxo7NL2K6VW8r5OuFrYuJiWHt0LbnFuXT37c7dg+8mOiJamt031rFj5vtp+XLIzYWhQ+3jOVzhtT1CtClaw7ffmnC7Zg0UFcGIESbcRkdDhw7OLmGLqRS8nnjCDLzalIYPh5deqvUhjqH2gw8+YOXKlaxbtw6Av//976xZs4bi4mJmz57NH/7wBwBuu+02kpKSKCoq4uc//zkPPfQQABs2bODpp5+mvLycLl268NVXX5GVlcUDDzzAqVOn8PHx4c0332To0KE8//zzJCYmcurUKRITE3niiSd4/PHHK5UtNTWV66+/nvj4eABWrVrF1q1beeONN+p86k0VautblTfQsa+r1voHpdQIrfUp+cJvQUeOmIGfVqwwwXbECNMHYu5c8JEmoaL5KKWI6hVFVK8oUvNSeWvfW7yx9w1uXX0rYR3CeHjUw/x05E/p5ivzbjSIp6cZlOOOO+zNk5cvNzVZTzwBt91mAu6NN0rz5CaitWb32d3ExMXw/pH3SctPw9/DnzsG3UH0kGiu7309bi7SyqXBbOM5vPoqfPWVGc/hrrtMmB07VsZzEKItUsoM3DZ+PLz8svmOevNN0yLwySfN1HUPPih/4y2ksLCQ4cOHU1RURGpqKlu2bAFg06ZNnDhxgl27dqG1ZtasWWzbto2oqCiWLl1Kp06dKCwsJDIykjvuuAOLxcKDDz7Itm3b6N27N1lZZjKb5557jhEjRrBu3Tq2bNnC/fffzwFreI+Pj+frr78mLy+PAQMG8Oijj+LuMBVoSkoKPXr0qPi9R48epKSktOCrU/9Qe0wp9Rqw2vr73cBxpZQnUNosJRNGaSmsW2euem/dCh4epgZn0SIYM0b+iYgWF+wfzLMTn+WpCU/xybFPWLx7Mc9seYbntz7PXYPvYlHkIsb2GCs1XA0VFAS/+hX88pewf78JtytXwvvvm+bJttGTZaCKRonPiCcmLoaYuBh+vPAjHq4e3Nz/ZqKHRDPzqpl4u3s7u4htU3XjOfzpT2bgp25ykUuIdiMw0Jx7PvYY7N5t/u5XrTLfVYMHm7/5++6Dzp2dXdLmV0eNanPx9vauCJk7d+7k/vvv5/Dhw2zatIlNmzYxYsQIAPLz8zlx4gRRUVG88sorfPzxxwAkJSVx4sQJzp8/T1RUFL179wagUyczc+s333zD2rVrAZg8eTKZmZnk5OQAcNNNN+Hp6YmnpyfdunXj3LlzlUJsdS1/W/o8sL6hdgHwGPAEpk/tN8CTmEB7fbOU7EqXkmKuhi1ZYkamCw+Hv/7VNDPu2tXZpRMCNxc3br/6dm6/+nbiM+J5bfdrLD+4nJi4GIZ1H8ZjkY8xL2Ievh7S3LBBlIKRI83t73+Hzz83Jw0vvmj+B0jz5HpLzk1m9eHVxMTFsD9tPy7Khcm9J/PMhGeYffVsAr1k9OlG0Rq++cbUyjqO5/DqqzKegxDtnVKmUmXMGPjnP2H1anOu+otfwO9+B7ffbmpvJ02SipdmNHbsWDIyMjh//jxaa5566ikefvjhSo/ZunUrX375JTt37sTHx4dJkyZRVFSE1rrawFlbMPX0tI/G7+rqSllZ5XGCe/ToQXJycsXvycnJhISEXNZzbCiX+jxIa12otf6H1nq21vo2rfWLWuuLWmuL1rrueQ1E3bQ27fP//GeYMAHCwuCPfzRNjD/7DE6ehN/8RgKtaJUGdhnIyzNeJuWXKbxx8xtoNA9/9jAh/wzhoU8fYl38OvKK85xdzLbH09OcIHzyibnQ9Y9/mMF3Hn0UgoPhnntgwwbTF1cAkFWYxZt732TS8kmE/SuMX2/+Ne6u7rw07SWSf5HM5vs2s3DEQgm0jZGXB6+/DsOGQVSUmefyZz8zfWg3boRbb5VAK8SVxN/fBNhdu8w57E9/Cl98AZMnmzFe/vpXM42XaHLx8fGUl5fTuXNnpk2bxtKlSyv626akpJCenk5OTg4dO3bEx8eH+Ph4vvvuO8AE4tjYWE6fPg1Q0fw4KiqKlStXAiYQd+nShYCAgHqVJzg4GH9/f7777ju01qxYsYJbb721qZ92rWodKEoptUZrPUcpFQdc8kCt9dDmLFxV7W6gqNxcM5fsF1+YQWLOnjXLR440V7vnz4e+fZ1bRiEaQWvNjqQdLN6zmE+PfUpeSR7uLu6MDxvPjH4zmHHVDAZ3HSxNlBtD68rNk7OyTMC97z5Tg3sFNk8uKCng0+OfEhMXw4aTGyi1lDKg8wDmRcxjbsRc+nXq5+witm0//GDGc3jnHft4DosWyXgOQohLFRbChx+a2tvt282FrlmzTPhtw+NDtIbRj21T+oA5z3rhhRe46aabAHj55Zd56623ADOg1HvvvUePHj247bbbSElJYcCAAZw/f57nn3+eSZMmsX79ep5++mksFgvdunVj8+bNZGVlsXDhQk6fPn3JQFF+fn48+eSTAAwZMoTPPvuM8PDwSuXbs2dPxZQ+M2bM4N///nfrmdJHKRWstU5VSvWqbr3W+kxDDna52nyo1RqOHjUh9osvzB97WZkZPW7qVJg5E6ZPlwnoRbtSUl7CjqQdrD+xnvUn1xOXHgdAz4CeTO83nRn9ZnBDnxsI8Kzf1UDhoLjY3jz5iy9Mje2YMSbc3nNPu26eXFpeyuZTm4mJi2Fd/DoKSgsI9Q9l7pC5REdEMzxouFw0uRylpfDf/5rxHL7+2oznMGeOCbPXXCPNCoUQdTt61Axo+s47kJlpWiH+5CfwwAPg0B+zLWgNoba9arEpfZRSrsBGrfWUBpeyibXJUFtQAFu22INsYqJZHhFhQuzMmWbUOIcRxIRoz5Jzk9lwcgPrT65n84+bySvJw83FzV6L228GQ7oNkUDSUOfOmXlvly2DuDjTdPnWW+2jJ7eDZqEWbWFH0g5i4mJYc2QNmYWZdPTqyJ2D7iQ6IpqoXlG4qHr1qhHVycoyF1u3bjXTd5w9C716mebuDzwg3V+EEI1TXGwGPV2yxIyO7uICM2aY2ts20g9fQm3zael5aj8B7tNa5zSolE2szYTaEyfsIXbrVigpMXPz3XijvTa2Z09nl1IIpystLzW1uCdNLe6hc4cA6BHQg+l9pzPjqhlM6TNFanEbwtY/39Y8OTPT3jx5/nwYNMjZJWwQrTVx6XHExMWw6vAqEnMS8XbzZtaAWURHRDOt7zQ83Tzr3pG4VGYmbNsGsbHmu+rQIfP58fIyfeIefdSceLbR5oJCiFboxx/h7bfNBdi0NPP9tHCh6Y9rHY23NZJQ23xaOtSuAa4FNgMFtuVa68dr3KgZtNpQW1hoTgpsfWNPnjTLBw6018aOH29qToQQNUrJTbHX4p7aTG5xLm4ubozrOa6iL25Etwipxa2vkhJ78+TPP29TzZNPXzjNqsOriImL4cj5I7gqV6b2nUp0RDS3DrgVf09/Zxex7cnIMCF261bznXXIXETC2xuuu86MVjppEkRGyveVEKJ5lZaa76UlS8yAhxYLTJliam9vu810eWhFjh49ysCBA+X8o4lprYmPj2/RUPsoZvofC1AOFFoL8k5DDna5WlWoPX3aBNgvvjDNiwsLzYnB5MkmxM6Y0aqvOAnR2pWWl7IzeWdFX9yD5w4CEOofWtEXd0qfKXTw6uDkkrYRVZsne3jYmydPndoqmn+lF6Sz5sgaYuJi2Jm8E4BxPccRHRHNXYPuoquvNH9tkPPn7SF261Y4fNgs9/GBceNg4kR7iG1lJ5BCiCtIUhIsXWpqcJOSoEsX07LowQdhwABnlw6A06dP4+/vT+fOnSXYNhGtNZmZmeTl5dE7PNxkq927YccO1CuvNPlAUW7AC8ADwBnMFEA9gWXA01rr0kY/k0ZwaqgtKTF9jWy1sUePmuV9+9prYydONMFWCNHkzuadrdQXN6c4BzcXN67reV1FX9yh3YfKl01dqmueHBRkHz25hZsn5xbnsi5+HTFxMXx56kvKdTkR3SKIjojmniH3EB4Y3qLladPS0+1NiWNj4cgRs9zHx7QWmjTJfE+NHi0hVgjR+pSXw6ZNpvb200/NYKoTJphwe+edTj3HLi0tJTk5maKiIqeVoV0pK4OSErzS0+mxZAnusbFmXAcADw9USUmTh9p/Af7AL7TWedZlAcCLwEWt9RONfCqN0uKhNjnZXhv75ZeQn29OBCZNsgfZq65qufIIIQBTi/td8ncVfXEPpB0AIMQ/pFJfXJmLtA7VNU+OjLQ3T+7UqVkOW1xWzPqT64mJi+HT459SVFZErw69iI6IZu6QuUR0j2iW47Y7587ZQ+zWrfaLrb6+9hA7aRKMGiWDEQoh2pa0NPPd9NZbph9uYCDce68JuENbdEZRcbnS02HPHlMLa/tpm7/Y1dUMnjt6tLlFRsKQIShPzyYPtSeA/rrKg6wjIsdrrVs00TV7qC0rg5077YM82fobhYXZQ+zkyeaEQQjRaqTmpVbU4m76cRM5xTm4Kld7Le5VMxjWfZjU4tammZsnl1vKiT0TS0xcDB/+8CE5xTl08enC3YPvJjoimrE9xsr7U5fUVBNibUE2Pt4s9/MztRm25sQjR0qIFUK0DxaL+X+3ZAl89JG5GDtmjAm3kyZBeHir6D4jrC5cgL17KwfYpCSzTikz3lBkpD3ADhtWbQ18c8xTe1xr3b+h65pLs4TatDTTQf2LL0yTh5wc88cxYYK9b+ygQTInnxBtRJmlzNTiWvvi7k/bD0CwX3BFX9wb+94otbg1qa158vz5MHhwA3al2Zu6l5i4GFYfXk1qfip+Hn7MHjib6Ihobuh9A+6uEr5qdPZs5ebEx46Z5f7+5jvK1px45Eg5qRNCtH8ZGfDuuybg2lqmuLtDnz7Qv7/pf9u/v/0WFCTn780pLw/277cH2D177IPlAvTrV7kGdsQI8/1VD80RatcBH2mtV1RZfi8wR2s9qyEHu1xNEmrLy82Lb6uN3bvXLA8OttfGTpkCATKFiBDtQWpeKht/3FhRi5tdlI2rcmVsz7EVfXGHBw2XWsLqlJSY/5O25sllZebLacECmDu3xubJxzOPExMXQ0xcDCeyTuDu4s7Mq2YSHRHNzf1vxsfdp0WfRpuRklK5OfGJE2Z5QIA9xE6aBMOHS4gVQly5tIZ9+0yLyuPH7bcTJ8ycuDZ+fpVDri34XnUVdJBBJhuksBAOHqzcjPjoUfNegJmq1LEGdtSoy5phoTlCbSjwEWa0472ABiIBb2C21jql0aVthEaH2owM2LjRnJxt3GhqHlxczBQGtiA7dKhczRGinSuzlPF98vcVfXH3pe4DIMgviOn9pjO973Sm9p1KR+/WO9WN06Sn25snHzpkmidfdx2EhkJwMNmdfPm29Ef+m7uLr0uOk+YHkQOuJzoimjuuvkNe0+okJVWuibVd4e7QAaKi7M2Jhw+XuWKFEKIu5eXm/6pj0LXdEhLsAQyge/dLA2///mYA2Ct9SrOSEjNavmOAPXzYXNgG89pVDbDduzdpEZpzSp/JwGBAAUe01l81roiXp96h1mIx1eG22tjvvzcf5K5dTXPimTPhxhubbRAUIUTbkJafxsaT9lrcC0UXcFEuXNvj2opa3BHBI3BRLs4uautibZ5c9t0OCpNO4Zl+AY8yy6WP8/ODkBDTEiY4uOb7AQFXxkXFxMTKNbGnTpnlgYEmxNqaEw8bJiFWCCGaUlGR+Z9rC7nHjtnvp6fbH+fiYvrpVhd4e/Y069uT8nJT4+oYYA8etNd4d+xoD7C2EBsa2uzf2c0WaluLWkNtdrbpE/vFF6aP7Llz5gUfM8beN3bUqPb3YRRCNIkySxm7UnZV9MXdm2q6JnT37c60ftOY0W8GU/tOpZN3+7gYprWmuLyYvOI88kryyC3OveR+bnEueSV5le87rP/h/A+UWkrp17EvPw2/gzmdJtC7yMv0BU1NNbeq9wsLLy2Mj0/dwTckxIS/thR+z5yx18Ju3Wrm4ANzkmALsZMmmZEfJcQKIYRzZGebpsvV1fDm59sf5+Vl+ok6NmW23e/cufV/P1kspkWQrf/r7t2mGffFi2a9v7/JSo4BtndvpzyvKyvUam1G6LTVxu7YYa42dOwI06ebIDttmqmdFUKIBjqXf65SX9yswixclAvXhF5TMaLyyOCRLVqLq7WmqKyoImBWF0SrDaU1rC+11G+qcV93XwI8A/D39Mffw7/ifr+O/ZgbMZdRwaPq1ydZa8jNrTnwOt53PJGw8fSsO/gGBzvv5CIhwV4LGxtrfgfTKmjiRHtz4ogIucAqhBCtndbmO6m6sPvjj/bmuGDyR3W1u1dd5ZxZU7Q2rYMcRyHeu9cMiAsmoI8YUbkZcf/+rea7qc2EWqXUXcDzwNXAGK11vTrKjh45Uu959ln73LEp1i69I0faa2OvuUaueAshmlS5pdzU4lr74u45a/5ldfPtxrS+9lrczj6dL9lWa83F0ovV1nrWGkprWF+uy+ssr0Lh5+GHv6c1gDoE0Yr7Hv61r7fe9/Pww9XFCf9T8/PrDr6pqfYvaEfu7vagW1sI7tq18V/gWpuaV8fmxImJZl3nzvYAO2mSGTG6lZwoCCGEaAJlZebCZdWmzMePQ3Jy5cf26FF94A0Pb7rp11JTKwfYPXvMmEJgjjF0aOUAO2hQqx5wsC2F2qsBC/AG8GS9Q62Li96jtel/NXWqCbLTp5uTEyGEaCHpBekVfXE3/rixohZ3RNAI3FzcKoXS/JJ8LLqa/qZVuCiXuoNmlfU1PdbXw/fK6Qd88aI96NYWfrOyLt3Wzc0MblFX7W+3biaUnjpVuTmxbe69Ll3s/WEnTTInCxJihRDiylRQYJr5Vq3dPXbMzONq4+ZmpiOqOhVR//7m+6emFkcZGfYmxLYQe/asWefiYi6kOgbYiIg2N/hVmwm1FQdXaisNCbVBQXrP+++bETdlYnkhRCtQbiln99ndbDi5ge2J23FzcbOHToewWVcQ9XH3kWmFmlNRkZmXvK6mz+fPX7qti4vpa2SrFe7a1V4LO3GizGUuhBCiblqbGViqa8584oT5nrLx9a0ccn18TP/X3bvtXVvABGLHADt8uHlsG9cuQ61S6iHgIYCwsLBRZ86caaHSCSGEuOKUlJiBBquG3YwMc7V70iQYOFBCrBBCiKZjsZhmy9U1Z05IMOt79648EvHIke12vt1WFWqVUl8CQdWsekZr/V/rY7bSkJraxs5TK4QQQgghhBBtTXGxmTkgMNDZJWkxjQm1zdZDWGs9pbn2LYQQQgghhBDtnqdnm+sT6wytd9irauzduzdfKXXM2eUQ7UoXIMPZhRDtinymRFOSz5NoavKZEk1NPlOiqQ1o6AZOCbVKqdnAv4GuwOdKqQNa62n12PRYQ6uihaiNUmqPfKZEU5LPlGhK8nkSTU0+U6KpyWdKNDWlVIP7mzol1GqtPwY+dsaxhRBCCCGEEEK0HzKRnhBCCCGEEEKINquthdo3nV0A0e7IZ0o0NflMiaYknyfR1OQzJZqafKZEU2vwZ8qp89QKIYQQQgghhBCXo63V1AohhBBCCCGEEBUk1AohhBBCCCGEaLMk1AohhBBCCCGEaLMk1AohhBBCCCGEaLMk1AohhBBCCCGEaLMk1AohhBBCCCGEaLMk1AohhBBCCCGEaLPcnHlwpdRS4GYgXWs9pK7Hd+nSRYeHhzd7ua4Ep84XANCnq6+TSyKEEEIIIYQQxt69ezO01l0bso1TQy2wHPgPsKI+Dw4PD2fPnj3NWqArxd1v7ATg/YfHOrkkQgghhBBCCGEopc40dBunhlqt9TalVLgzyyBES0pLzeKH0BXFdAAAIABJREFUE2fp4O9NULcOdOsWiLt7E/0ZWixwMQPyUsFSBt0jwM2jafYthBBCCCFEK+Xsmto6KaUeAh4CCAsLc3JphGiYoswLfLLzJLtOZ7HrfAmJJZW7sSs0Xd00QZ4Q5O1KsJ87QR28CAr0oWdXf0b3DwIfH3Cr5k816zRs/r0JsbmpkJ9mwqyNmzf0jIRe4yF8HISOBnevZn7GQgghWqXSUjh7FnJzwcODjSlF+Hh54O/riZ+fFwF+3vj7++Dl7YFSytmlFUKIBmn1oVZr/SbwJsDo0aO1k4sjRM20hgsXIDUV0tIgNRWXgos8mxCCj4smsqMr94d1YGjfbhRcLCbtwkXOZeVwMeccZQXnUflZuGVfQCVno9UFXF0ywS0DXDyhx2/A1xd8fTnv5k1MmqKPdy6TEw+BXxDuPcbi3qknyj8YAoLBUg6JOyHhW9j6Z0CDq4cJtuHjoP906DHa2a+YEEKIZqK15tjxZPoXZuKSnGy+lywWACwaHjkdgubS8OqGxs9V4+cK/q7g767wd1f4ubvi72luvx7RERdPT/DwAHd389PDg6SLFvx9vfDz98atqVohCSFEPch/HCEaqbS0jMM/JLI7/iy7EnP5c6cMupYXmZW+vhASgkdwMF9NCySkmw8u3y82tarxqfba1YsZlXfqBtrVgzKvrpR4dga/YeAZBL36QkEBFBSQeD6bf50OwAxe/gJkAmfAR1kI8oBgbxe6+3gQ7D+doKDZ9OhXTh9O0rXgMN7pe1Db/wklBRJqhRCincnJzuebPSeJjT9HbFoJ58pc+Dw0ncHB/hARAT17QqdOUFrKFynZ5BcUk1dQRF5hCXkXS8grKiW/qIy84jLyisvJK7WQV2IhrdBCXp6FvPJSii3w27KTlxy7RMOE06EVv3srE479XcHfDfzdXUw49jDB2M/TjQAvd/y83Qnw8WDmwC6XhGTc3Vvy5RNCtGESaoWop6LCYvbHJbD/6ClOpyRzPj+LQLIJUlnMcMvCwz0PvCwwby34+1ds1wOg5CLE/hV8u4B/MASEQugo8A8B/yAIsP70D0H5dMJdKWr6Kh8FHCsuJT09m7T0HFIz8zh3oYDUnCLS8ktJu1jGd+dLOHe2lHIuWrfqAkxivPdY3uuXAwVu8NVXFbW/Wa6eJJS40SfzCwKKk3HpMwHCxoJPp2Z9TYUQQjSepdzC4R/OEHswka1n8tifBxYUAS4WJnRxY+JVXQgdOw66BFbazsXLi6sH+tew19pprU2Nb0lJpZsqKuHv8ZnkFZaQX1hKXnEZ+cXl5JaUk19iIa9Uc67IQn55OXnlkG+xd8fxVRZmntp1ybEKtAtjz3SvCMZ+bqbW2N/DFT8PF/w93fD3csPfyx0/L3f8fTzw8/EkwM+LAD8vwrp3AC/pdiPElcDZU/qsAiYBXZRSycBzWuu3nVkmIdAajn5CUXoC504fJ+98EpbCDHzLsxiishmrCs3jHMdg8gwAtyDwDgYf70v36eEDz54H16a56uzp6U7Pnl3p2bPm0c7Lyy1kZuSQmp5NakYe57Ly6UQZdAw0tb7nz0NCApSXsyPfm/9J78Tv3bYzz/UrPHe9BkCyS09SvIaQEzgMS1AkgcFhBHfrQPfuHfHykkGohBCipWVk5LB990lij59nW3opWeUuKDRDfTX/c7U/E4f2ZNiQXs3W/FcpBa6u4O1tblbuwF19e9d7P5ZyC/kFheTnFXLxYjEEuF0SlPXFYm4n19Qal5STX2oho8jC6XwL+eWQaymhRFff/zfQxcKB8FRTM92vn7n5+V3u0xdCtFJK67bTTXX06NFapvRpGlfclD5FOZCdaJr85jncpv/VPnhSYSGH4k7z8YGzPHn2XnwppES7kk5H8lRH8O6Cb+cedA3vz/9n777D4zrLhP9/zzRpRjPqvTfLsmS5yr0TxyGJY6eSQugBlgUWXn5hWRbYl4XlZdkNP95dls3S2U0glRA7hThx4t6rJNuSLVm99zbS1PO8fxzHKTixHEseSb4/13UuWVPO3CMfac59nvu5H3ti9sWRVVzJEDaFPyg9Hro7+6lo6Ka9101n3yDWvtMkuk+RE6hklqrGoXkBqNFTOawXclCfRZU2E7MtlttTzHx+luviqO+bm253YAoPC/GbE0KIKU7XqT/XyLMH69jVOEzFiDHCGWfWWZNkZU1BIisX5RMXFxniQEPD6/UzPDzK0NAow24Pg8Mehka86H4/NydZjIu3HR3Gg5OTcWfl4svIIib2g41UCyEmnqZpx5RSVzRPTsqPxfQV8EH1Njj5B6h+9Z2dgQEc8ZD5ERgIGg00+vupGnTwRE80Q87vkZ+axJxZBcybk0O6YxqXL4WHE5+ZzLrM5LfdeONb/wz6GT1/iJGqN4htOsA9vYd4IPgGAJ0k0t87E8qzwFIM2lt/Uv57IIJHeiMpdmncXZLELetm43ReYhRbCCHEOw0PQ3MzNDVBSwvN/RqPtsexMFLj6yUu1szLoqgwA5PZdPl9TXNhYVbCwqzvndTPnWt0fD5/Hqqree61Mv6xu541cSY2z03hxpVF2B1yAVaIqU5Gaq9T03qktr0CTvweKp6GkR5wJqHm3EuHJY/yDjjYbiHot/GP0f3G4202SE6GlBQ88YmYEhKw2eR6z3vSg8bPuGGf0V25cT8EA/D1WvB4Lza0Oljbwyu1g+xuHaXWa8Kh6dycYuOeZTksKZ0hS0YIIcQFXq+foyfOc/Z8G5+2dRud9MGofMnIwJ+azkhCElFREaENdBqoOdvE03vOsbV+hPaA8dl0U7KVzQszWbmkQLo2CzEJfJCRWklqr1PTLql190DFM3DycWivQJltDKas4bB5Jc/35HGoD7qDxhXteLPOjckWfrguA1JSjPk2kmB9cLoOg80QfYl1pAeaUa9+h0bzTP7YlMBvOhIY1s1k2nTunhHJXR8qJi0t/trHLIQQIdbQ0MGuY7XsOt/L/l7FqNII0xTHl2lEZGcYnYpjYkId5rSlB3UOHatmy5EGXm7xMqibiDfrbMy0s2lJLvPn5sjFVyFCRJJaMWbTKqk9swX17GfQdD+dYfm8qq/gv9xLadajAEi36SyOt7I4O5bFszPJyUmSD6prpeEAPPtpGGoFQNnjaA0v4rXBbJ4emUWVymB5tJl75qVw05piwu1SAiaEmJ5GRjwcPFrDrjNt7Gr1UO8zLrRm2nTWpoazpiiFpQvziYiYxtNdJimv18/O/ZVsOdHC9q4gPqWRZdPZnOdi08oC8vNSQx2iENcVSWrFmE35pDYQgI4O/uONas40NbJ45GWeCK7hrMokP1xncWIYS3LjWVSSSaqMBIaWUtBXBw37jXLlhr1G0y7AY4rgaLCAXYFZVDCT/NSZ3L1yJvPm5oY4aCGEuDpKKaqrW9l1oo5ddQMc7lf40LBrimUxGmvyYlmzMJfs7KRQhyreZnDQzbY9lWyp6GB/v0JHY7ZD587CWD51y1w06aAsxISTpFaM2ZRLavvb4ciT4FwMHZ3Q3Q26zt2t8XhNVhYl21k8I5FFc7Kv2w6QU0p/k5HkNuxF1e9D6z0PgFuFc17LZ07iDJh7N8z/EDgcIQ5WCCHGyOeDlhZ+v+88Pzs7SqvfGI0tCNdZk+5gTXEapfNzZUm0KaKzo48Xdp9hS1UvkbqPx1N6IDXVWB4oN9foySGEGHeS1Ioxm+xJbWdHH0fKztNb+TpZfdtZyTFMBCHhy5Cx2JgLm5xMID4Bi11Ktaa8oXZo2Ievehec341tuA6iH4CIBca8spkzISsLTNLpUwgxiSgFPT1Gl+KmJmPpGKV4ftTFtkAUa2bEs3phrlQMTQOerh7CG+qgpsbopmw2Q2YmPWnZRORmyYUKIcaRLOkjpiSlFE2NnRw61cSRuh7aO+tZpu/hDvNekrU+hnDSnrSR1JWfhFmrwfLWYSsH8DThSobZd2GbfZfxvbsb3F6ob4Fz56CxkR/0xxKIjuaLkS8SnxAHWcshY8nUXiNYCDHl9PYMsudIDbvOdeLyuPnH6B7jjvh4mDcPMjK4PTGR2+Ui3LQSnhAHCXFQWgqdnUZye/48Pzrcx5/dVdycauP2RdksKZ2BWZZaEhPI7/fT3NyMx+MJdShXLTw8nPT0dKxW61XvS3ICETIDA26ee62Mxyt66PKOstF8kI+adzHXVINuMjGUsorA8k/jmnULLotcAb2uRMRDBJCYZpxAtLTQ/9wpttR6uMF6mGXmSsx7HkGZLGgp86BoM8x/EByxoY5cCDHNBPwByk41sKu8iV2NQ5S7NRQaMWadjakRsG4OpKeDXdbhvm4kJhrb0qXccfgcgcMNvNTi4+nmGpJeOMdtWQ5uX55PcVGmNKYU4665uRmXy0V2dvaUPr6UUvT09NDc3ExOTs5V70/Kj69ToSw/PlPZyGM7qtja5GG+dobPhe1kOcewKB8qoRBt/oMw515wJl7z2MTk1tc7xNYdp3jxVBN2bw3LTFV82HaKHP08yhKONvsuWPQZSFsY6lCFEFNYR0cfu47UsKu6m71dAQZ0EyYU85ywJsvFmrmZlBRnyYicuMgz6mX73kqeL2tlV7eOH428MJ3N+ZFsXl1IVpY0BBPjo7KyksLCwimd0L5JKUVVVRWzZs16x+0yp1aM2TVPaoNBBqpq+PTz1ZwZ8vI3li3cb9tLtN4D4dFQcg/MewBS58uasWJMKquaeGb3WZ5vGCVRb+az1te4zbwPm/JA6gJY9BDMvhOsMnoihHh/Pl+AoyfOs+tUC7ua3VSNGslqokVnTZKNNYVJrCzNJzpGpjuIy+vvG+bl3afZcrqLQ4PGOc18p87mwjg2ri0mPj4qxBGKqayysvIvksCp7FLvZ8KSWk3TcpRSdZe7baJJUjt+rllSOzwMZ85AVRVq1MOX+hJZkBPLp5q/gCm5yEhkZ94CFlmfVHwwPl+AN/ad4dmjzRzpGWazeS+ftb5GBq2o8Bi0BQ9C6Wcg9upLW4QQ04hSRnOnqiru3u/mqMeGFUVpFKzJjmbN/CwKZ6ZPi9EQETqtLd1s3V3FlnN9VI6aMKNYEaPx4MJUNqyZDeMwl1BcXyZjUvvQQw/xta99jaKioit+7rVOao8rpRZc4sWuaY2fJLXjZyKTWj2o421sxn72NDTWg2YxOtcWFUFamjES6x+VETQx7jo7+3h+x2meqewl3lfFJ8yvscF8FBMK7vo1lNwV6hCFEKHm8cDZs8YF16EhcDh4NTwN4uNZXpqP0ymfTWJinDvXwvN7z7Klzs1Gh5tvJo0Y50f5+Uanf2kuJsZgMia1V2O8ktr3bRSlaVohUAxEaZp259vuigRkHRXxDv19wzz7ahnbT1fxJesbrNQOwIx74NbvwLsXK5eEVkyAxMQYPnfvSj6rFGXls3lm/3xmUUWWexec6AbvUWN5IJcr1KEKIa4hpRRl5XV0na3lxqEGCAaNpeGWLIHsbDZIMiGugYKCNP62II2vK4WnuQ0aaqG2Fs6fh7AwyM2lMzWb+Ow0TDJfW0xSbrebj3zkIzQ3NxMMBvnOd77Do48+yiOPPEJpaSlOp5OvfOUrvPjii9jtdrZs2UJS0sTPKb9c9+OZwEYgGrjtbbcPAZ+dqKDE1FJxqoEn3jhJsGMfd5h385CpEhXUIHcNLLjxLxNaISaYpmnMm5vLvLm5EFgH9TcbSwMdPw7Hj6NSUtkWlsrq5TNxDFQZc3ClxFCIaccz6mXr6+U8dqKdCreJPFuA9TcWoBUXQ6x0SxehoWka9oxUyEiF5cuhudlYIqi6mk+81s2gOsmmnAg2r5hB4cyMUIcrJrk3qy/fz3tVZl7quZer4nzllVdITU3lpZdeAmBgYIBHH3304v1ut5ulS5fygx/8gL/927/ll7/8Jd/+9rcvG+PVet+kVim1BdiiadoypdTlf2LiuuHx+HhxexnHju9kvm8P3zIfIsLqwevMhMXfRpt7P0SlhzpMIYx1jfPzjW14GM6do7Kshr8628bNu17iUesjuKMKcaz5Itrsu8HmCHXEQoirVF/fwe+3n+Lp2hEGdBMzwuF7i+O4Y/0ctEj5HReTiMkEmZmQmYny+fj8G6d4vryNX5wb4dFz5RTaT7K5IJpNq2eRlhYf6miFoKSkhIcffphvfOMbbNy4kVWrVr3jfpvNxsaNGwFYuHAhr7322jWJa6zr1J7QNO2LGKXIF8uOlVKfnpCoxKTV2NDBC6/sRGvexq3aHu42deK32VFFd8CiTxCWuVRGvMTk5XTCggXMmj+fp45Vs3W/n3/s+BT39m2ncOuX8bz4TYKz7yVizRchLi/U0QohrkAwqLNj72keO9jIrj6woLgp0cLHVuWxpHSGNHwSk55ms3H7hxdw+4ehu3uQl3ef5vkzPfyobJAflR1icaRi06x4bl1TTEysTKMRhqvpj/NBnltQUMCxY8d4+eWX+eY3v8mGDRvecb/Var3499ZsNhMIBD5wfFdirEntY0AVcBPwPeCjQOVEBSUml2BQZ8/u45w98EeKR3fxBdMZTGZFf1wpatX3sBZtAltEqMMUYsw0TWNJaQFLSgtwD9/ESzse4A9lu1nkfY0Pl/0Oyn9NZ/RiYtZ/GWvRrWAyhzpkIcR76OkZ5KltZfy+sp8Wv4kki85XiyK5/6Y5JCXFhDo8IT6Q+PhIPn7nMj5+pzGgsHXvWZ6vHuDbh3r4x0O7WBOnsWluKjeuLMLukBUkxLXT2tpKbGwsDz74IE6nk9/97nehDgkYe1Kbr5S6R9O0zUqp/9Y07Q/AtokMTEwCHg87dpzkHw508Xfq3/m8+TADYUm4530V14pPER2TFeoIhbhqEU47H7ltMR+5bTH19R/jl9v3Y2l8gdv6dmB99mP0m+LxFD1A0oe/jOZMDHW4QgiMxk8nyup4bNc5XmoL4ENjWZTGtxalceOa2VitYz29EWLyy8xK4ktZSXxRKU5XNrF1fzVb60fY/kYrETuauSnFyqdW5FAyf4Z0UBYTrqKigq9//euYTCasViuPPvooDz/8cKjDGvOSPoeVUos1TdsN/DXQDhxWSuVOdIBvJ0v6jJ/3XdKnsxNOn4baWo67TfyLO4EvFQ6xtCQVS+4q+YMppr1gUGffgdOc2/8cRcPbWG46jQ8LjVGryLj5q4TNXCNl9kKEQiAANTUcO1TJXZU2nCaduzLDefCGImbMSAt1dEJcM8GgzqGj1Ww50sDLrV7+Ob6PWxM0o8N/YSFERoY6RDFBZEmfSxvrpcxfaJoWA3wH2Ao4gX+4khe6FE3TPgz8G2AGfqWU+uer3af4YPzDA1j3/TfUV4C2yFgMvLCQBUVFPBkj5Vvi+mI2m1i9soTVK0sYGHiYLS+/hOncM6zt30PYk5shdhFs/rWsKyjEtTIwYKwre/Ys+HwsiInlxyvi+fC6OUTIurLiOmQ2m1i+ZCbLl8zke14/puZmqDkHZWVw8iSkpkJhIXpWNiapXBDXgTEd5UqpX1345y5gXEZnNU0zAz8DbgSagSOapm1VSp0Zj/2LMVCKlkPbaNv9K2YO78WqjUBYCtz2NzCz0EhshbjORUVFsPn+jwAfobuuDtfR30JXH2zbBnY7zJiBKihAk+VBhBhXwaDO67tPMX+giYTOFuMCUk4OFBejJSdzV6gDFGKSCAuzQl6OsY2MGBd/qqoY2r6DDzcncVOmg/vXzZJqBjGtjSmp1TQtCfg/QKpS6mZN04qAZUqpX1/Fay8GapRStRde40lgMyBJ7QQL+AP09Q3yk9FvkNZeR6yyUWFbTOaKj5O8+h4ZeRLiPcTn5EDO90DXoanJOHE4dYqn9tbwxGgUn5rhY92GG4iKjQ51qEJMWV1dAzz9ahl/qBqgxW/im8mjfH51qVFS6ZDleIR4Xw4HzJ8P8+YxVFXHvFfO8lith9/UnmSh6wT3zUtm47oSaS4lpp2x1iP8Dvgt8K0L358DngKuJqlNA5re9n0zsOTdD9I07XPA5wAyMzOv4uVEV9cAT104UWj1m9hmKaU95VbmbPocizOk6ZMQY2YyQVaWsXk8RL5ehu9IOwvOfIPRygB7wtcTu/jjLFm7ErNZLhIJcTlKKY6dOM9ju2t4uT2AH40V0Sa+sySD9SuLQMonhbgymkbqrFx+NiuXnu4B/vh6BU+e6ePrezr43r42NmeEc9/qAmYXy/mfmB7G2ijqiFJqkaZpJ5RS8y/cdlIpNe8Dv7Cm3QPcpJR66ML3HwMWK6W+/F7PkUZRV04pxdHj53lsTw1/vnCisDIaOjQbMVERPP1Xy0MdohDTgtKDNG5/DP/R35DvK8OvzOxQi+hM2sjSDXeSL2VfQvyFkREPz79WxmMnO6kcNeEy6dyVZefB9UXk56WGOjwhphWlFIePVfPkvlpebg/gVRolDp375yay6UMlOF1SCTEVSKOoSxvrpU+3pmlxgLrwQkuBgSt5oUtoBjLe9n060HqV+xQXuIdHeX57OY+VdVJ14UThwVw7D95QRF5e6sXux0KI8aGZzGRt+CRs+CS+9rO0vvAIK1peIqLrIFWP/ZxHzTcQXbyZW9YvJiraGepwhQipmvOtPL79DH9sGGVIN1Foh/+zLJ7bb5yLwxEe6vCEmJbevkb7d/uH+dP2cp483cPfH+jmnw6+zm1pNu5bNYN5c3LQpMO/mGLGOlK7APgpMBs4BSQAdyulyj/wC2uaBaOM+QagBTgCPKCUOv1ez5GR2jHo7+eHzxzlD3XGiUKRQ+fj85LYtH7OO04U3ndJHyHE+PCNMHTgMbwHfk685zxDys4WfSX1URtYsXQFq5bMxCJlleI6EfAH2L6rAsuB76N8/fy1/2vckmzh46vzWTA/T06ihQgBpRQny+t4ck8NL7R4GVEmCu06z23OwjFrJoTJ3NvJZiqN1GZnZ3P06FHi4+NxOp0MDw//xWOu6UitUuq4pmlrgJmABpxVSvmv5IUusc+ApmlfArZhLOnzm/dLaMX70HVoaDDWlm1tpb87hvVJLh5cU8CCuXK1TYiQsTlwrfk8rtWfQzUfJbD9/3JfwytYhl/jwLYifr1zLZ+/YSMUFoEsnSWmq5ERqKriW6/V81RfGH8I6yYuOob9Dy4jISku1NEJcV3TNI35c3OZPzeXbw+O8MKOCirPd+A4fBCOHTE6js+aBSkpoQ5VTFJKKZRSmELcaPZKhggWA9kXnrNA0zSUUv9zNS+ulHoZePlq9nE9091uTFVVUFlpnDQ4nbB4Mf88cyaaXdbtE2LS0DS0jEXEfOr34O4mcPR/mHvgFyzz/Ce89jic+AKkFkFBAeTlyZVxMfX1nIeeXmgahLo60HU+mp3GDYszWLzidSw2WTJOiMnGFenggc0XerZ2d0NVFdTUGFtUFO2ZM7DMyCM+Piq0gYqQq6+v5+abb2bdunUcOHCAr371qzzyyCMopbj11lv50Y9+dM1jGuuSPo8BecBJIHjhZgVcVVIrrpxSioNHzvH43lqCbjf/ldQLGRmwerXxVdOQcVkhJrGIeCxrvoZl1VegZjuU/xEKboFzNbB3L+zfz9PWDBJy01i1tFDKk8XUMdSB9/hTeI/8nsjhKnAshcT7obgYioqYExXFnFDHKIQYm/h4WLkSli6F2lqoquKnb1Tz9JZWbkw0c9/SbFYumYlJOvyH3m9vvfTtn3rpyh5/uee9y9mzZ/ntb3/Lt7/9bZYuXcqxY8eIiYlhw4YNPP/889x+++1j2s94GevZUilQpMYyAVdMiKHBEf60vYzHyrup9piINuvcmxuDuvtGtCi5YibElGMyQ8FNxgYwZx50d6POnuXRbT10VlaRsO00N+UkcPfqmcyQ7sliMvIMQOULjBx6nPD2Q4Shc17PIivpHiKWfgzmrgCLXJgRYsqyWIwqooICPjWrhfCdlTxXP8rLW2tJf6WG+2ZGcc/6EpKSZArN9SYrK4ulS5eyZcsW1q5dS0JCAgAf/ehH2b1796RNak8ByUDbBMYiLqHqbBOPv1HFnxo9uJWJuRHwyKokNn6ohHC7lCgKMa3Ex6PFx7NtUYC6J79DVu2vea5uBV+q2UC4I527ixO4bd1somOke7IIIb8Hqrehlz2NOvcqZuWjU0/iJX0TQ7GruHHdOhzzckH6OQgxreTPSOM7M9L4W6+fbbtO8eSxFh6pGOInFftYF2/i/sWZrFkmFUbX3BhHVj/w499DREQEYFSRTgbve9RpmvYCRpmxCzijadphwPvm/UqpTRMb3vXJPTzK6/urePxoC4cHNcI0xaZUGw+uLWBuSU6owxNCTDCbzcLMG++HQ4PcX/EMDwTf4FSwgJ8f3cA/H25nbWIYdy/KkPJkce0EA1C/GyqeRT+zFZNviD4VxZbgh9ivLWNB4QLuu2kucTLXTohpLyzMyqYN89m0YT719R089cZpnql1s/3lBpJfreMjM1x85IbZpKfHhzpUcQ0sWbKEr3zlK3R3dxMTE8MTTzzBl7/85Wsex+XOhrYCScCed92+BmMZHjEOlFLU1rax41gdO2v7Odyv8KGRZVN8a340d984l5hYV6jDFEJcSylz4PafoW34Ppz8PbOP/Jqf9v0HIyYXO/tLeP7P8/jBthJuyEnmrlUzKSiQ8mQxQXb9K+rwL9DcnYxi58XAYp7Xl2OLLOKjy3L4xMpizDKvTojrUnZ2Et/4dBJf8wd4fc9pnjzazE8rh/lp5UFWxWjcX5rO+tXFWOUC7LSVkpLCD3/4Q9atW4dSiltuuYXNmzdf8zjed51aTdNeBP7+3evRappWCvxvpdRtExzfO0yrdWoDAWhrg8ZGni9r46uNRrfiGeE6a9MdrCtJZ2npjAmbgC/r1Aoxxeg6nH8dKp5B1byONtKNjka5nstOfS7Ntjncu3IFi1bMle7JYtwMDY5Q/9hX6e+q5XHfCo4zh9tzo/no+tlkZyeFOjwhxCTU0tLN09tP8XTNEG1+E38VP8rfrcqAwkKQPjBXbSqBW20MAAAgAElEQVStUzsW12qd2ux3J7QASqmjmqZlX8kLCeht7yG2px0aG6G1FYJBsFhYnpbC91NiWFuaR0ZGQqjDFEJMRiYTzLgRZtyIpuvQdgJT9XaKK19hbsef0PTnCOyJgGNzYP7DRmOP9HTjeUJczkALuDshdb7xfW8vw+WnWfFqP4P6ZkocOh9bnsz//dAc7A65aCKEeG9pafH8r0+s5W+COrv3nyG3pwXKy6GsDFJTjeQ2JwfM5lCHKqaRyyW14e9znyyEehler58jx8+z41QzO5pH6fHDsaw2LNFRxkLWmZmQkkKi2czHQh2sEGLqMJkgbSGkLcS69hsw0gvn38By+iUYGjEumtXWgsMB+fnUJ2aSnZsa6qjFZDPSC2e2QMWz0LAP4mbBwh8bx09vL06zma/NzGTevDzmzc0NdbRCiCnGbDaxbtVsYDaMjMDZs8bat2+8AWFh/MqUweolMn1GjI/LJbVHNE37rFLql2+/UdO0zwDHJi6sqaulpZudR86zo6aH/T1BRpQJm6ZYGm3iY3kxBNauwBIfG+owhRDTiSMWSu42NjBKlRsb4dw5ao5Xsb6xh887/ov7XCdJXHwHEXM3glOqQq5LPjec/TO+409gqd+JSQVoIgVP2C3MMM82TjiTkoy1KQsK+GT4+13bFkKIMXI4YP58mDcPWltpO3GGH+0d4Z9On2SB8wT3zTNW9nA45G+O+GAul9R+FfiTpmkf5a0kthSwAXdMZGBThd8f4NjJWnaUN7Oz2c3ZUaPUL82qc2dmOOuKU1hWmi+/pEKIa8dkguxsyM4mYdEQ//B6Be5Tgzj7TxDx2i547asMumbinLMR08ybIL3UWDdXTE9BPwMnXmT40O+J795DmPLQo2LZGryJbfpyIlzZPDQ3jhkLciAxUUrWhRATR9MgLY2UtDQOLhvkue3lPHGmj7/d28n397/Gpoxw7l9dwOzirFBHOqkppdCmwbJp47kc0Ps2irr4IE1bB8y+8O1ppdQb4xbBFZgsjaI6O/vYeaiGHdXd7O0OMKSbsKJYFAXrcqNZtzCXvLyUSX2wSaMoIa4/p0/Xs3/HNnwdh1milTNfq8asKYK2SMwz1htzdvPXgzMx1KGKq9Td1ce53Vsx17xE4eg+ohimX0Xwqr6YavtKorMWsbQonZLiLGw26UoqhAgdpRRHjtfw5L7zvNQWwKs0Zjt07itJYPMNc3BFOkId4qRSV1eHy+UiLi5uUucal6OUoqenh4GBQbw+CxXV7ZQ193O8y8u272664kZRY0pqJ4uQJbVKQWenUc7X1MQj57z8R38kyRaddSlhrC1KZkVpPk7X1Pmlk6RWiOuXzxdg574zvHy0Cr2vjNXmcm4wlxHDgPGAlLmQbzSlIq0UzJL0THojIzSebeAXB5txdbzGR9UfSde6GVU2yiwL6UlaT2rpbcwuyZOlNYQQk9ZA/zDPv17BE6e6qRo1YdcUG1Ot3LcynwXzcqd0Ejde/H4/zc3NeDyeUIdyxZRSBAI6/kAQXyBIU5+Pfz3QS5fHyEddJp05kSb+8M2NktSOl56eQdrONTB7pBOam8HrNUomkpJoiUtlMC6JwpnpU/aXS5JaIQQYf+u27DjFH093gaeJG0wn2RReTl6wGg0d7DHwlXIIjwx1qOLtRi40BGtrM7b+fur9Zja2JPIF52E2WvfDrDtIW/cglojoUEcrhBBXRClFWXkdT+6tYWuzlxFloiBc577Zcdx30zwcU2gg6bo2OAhdXTyyq4Ej7SOcGlK4lTHFxaHpzHZpzEmwU5IZw5yCVLIyEzGZTR9oSR9Jai/QgzoVZxrYcaKRHQ2DlLs1ZtoCvDJjCDIyjE7FaWnTZv1HSWqFEO92+kwjf9x7jucbRgnT3ezMOESYywO3/gBi39XgTtdB6TKKe420t/VyqKyeg+e7qezx8Fx8DaZAC7hmQ0oKpKSgUlIIxsRikZFYIcQ0Mjw8ygtvVPBkWQe1I3AotwtHXraxPFBUlLE5JMkNJaUUba09RI8M4ujvga4uY/N6Abi3LQGv2cKc+HDmZMQwZ0YKeXkpmM2X7uEgSe0V6u8bZveRanZWdbKrw0dP0ISGYp5TsS4rknXzsykpzjRGaKcZSWqFEO/F5wtwrrya2b1NxrQLXYf4eJg5E/LyIDwcGg7AE/dC7rq35uK6kkMd+rTR1tbDobIGDp7v5lCnlzqvCScjbLIc4f6wA8zWT6OZw+DrNRAWEepwhRDimuhsaCOxuRaqq8Hnu3h7jR7O/+qMISfSSk5sOLmJkeSkxZCdlUhkpPyNHG9dXQNUVDZRVt9NRbub8kGd7oCJXyX1sN7lMy6Ex8cbzQfj41ExMWhXsC7xB0lqr6vLuUopzlQ2sfNEPTvqBzk+BDoaMWadNYlW1s1MZNWifGLjpMxOCHH9stkszC6dBcwCjwdqauDcOdi3jxdfPcFLeiwfL/SxZOZGTOdfhzPPG09MLnlrLm76YhnFvQKtLd0cKjeS2IOdPhp8xtXrOJOXT7kquCXyMNnuI5h0L7gyoeSrMPtuSWiFENeVxKwUyEqB5cvB7Yb+fhgYwN/YQ+zAECd7/bzYHkA/4wbagDPEW3RyHRo5kTZy4hzkJEeSlxFPRkYCYWHWUL+lSa+/b5iKyibK67opbx+ioj9Iq9/4jNJQzAhXrEm0MTc9kllz5kB2Clje+fl/LYYHp/9Irc/HjgNVvFLRzo52L50B4z9hToTO2kwXa+dmMrck+z2Hv6crGakVQlyxnh7+8Go5Pz41TE/QhAlFvEVnibWRNZYKFlBGtv8sJnT8Zifu5KVo+TcSMfdWLLEZoY5+chkeZufhal4+08nBTh+NF5LYKJPOkhiN2+MbWGo6Qkzr62jeQXDEw+w7oeQeSF80LSuIhBBiPHi9fhobO6lt7qGufZC6nhHqBn3Ujii6A2+d75tQpNsUt6eY+NrcmLdKmaOjISLi+vw76/dTc66ZN061UN46REVf4OJFVoCcMJ2SGCtzUl3MyUukeGY6EU77uIch5cdv6uu72KmY9na+2h7F6yPhrE6wsK4ggTWL8klIvL4bZ0hSK4T4oPz+ADv3VVJW303nsI/OkQAdozpdPvAFR1luOs1a00nWmstI1voAOKsyCYssITu9FBLnguvCHCiHgya/GZPDTkJC9PRdXmZoyGjo9GZzp6EhftgTyVPDESyN0ViREcaKND85Q3vQTj8Hw+1gc8Ks26DkbshZKyPfQghxlQYH3dQ1dFLX0kdtxyB1vaPMDfPxkL0X/P63Hmg286oew3OD4eTEhJObFEluagw5mQnExLqmbKPYt1N+P1pfn7HCS3e38bW/nz8MOvj77hjSrDpzos1GApuTwOzCdKKindcktus2qXUPj7L/aA2R/d0sGWmD4WHjjthYyMykNyGVyPRkaZ7xNpLUCiEmgt8foLt7gM7uQTq7h/C2nSKq6wBpw0fJ8Z9FIwhp/x+QYiyXBnyiLY5do+EAxJp1Em2QEG4iyWEhMcJKYmQ4STERJMY6SYx3kZAQTXi4LYTvEtCD4B0C37Dx1TsMviHwDqG8Q/R3tNPc2Exnby/JapBi0wBY0yH+xouNnUbikwhPiMN06hn40+eM/ZptMGODkcgWfBis438FXAghxCWMjMDAgLH19/NsVR//WReg0asReFsBbZRJJ8cBuZE2cmLt5CZHkpMWS3ZWIg5HeAjfwHvz+QKcPddCeU075c0DlPd4yTF5+c+kXuMBdjskJEBiIoOuGHwxscTHR4Us3usmqVVKUVfXwY5j59l5vp9D/QofGjc7PTy62GV0Ks7IMEoHxCVJUiuEuOY8A1C3G2beApoJRkdhZITDNV2c7xxC6zjJaV86baPQNRqkwwtdAY3gJWbjRJmM5Pcns0zMTjRGfImIuDj626lbcEW7sDve1rE+6L+QgL6ZjF5ISH1Db/v3ha9x+bDwE3/5Hqpegj8+BP6RMb1ln7IQMNlxOFww4ybY/JO/LGnrOgfV28CZZMxHtsdcyU9VCCHEBAr4AzS39FDX1EVt+wB13SPUDfioc+sX55a+KcWqk+PQ+GxBBOsK4t8qZ3Y6wXRtpjoGAkFqzrdSXt1OeVM/Fd0eKkc0fMr47Ik265REmlid7uSzK7KMZHaS5UxTplGUpmn3AN8FZgGLlVJjmig7NOzhuz/fzo6W0Yv13fnhOp/Id7Budhql8/NAJnwLIcTkFB5llNO+6UICujg+nsUDzfCTGyEsEnLXGA2n8tejh8fS19lOT1sr/T1dDPf3MjzYx+jIEF7PEGk9buh3gLnI6NJ8wSebE4gKVPMv1l/ixEOENooN/yWCugSLHQpvvXRSG5ODKv0M/aMadV0+zvUpTg1baQ44GFJ2LKYwCmKczM5MZn5JAfkFWdgu17MhocDYhBBCTDoWq4Xs7CSys5NY9677Rke81DV2UtfcQ13HILU9o9QN+vC3tUNP9VsPNJkgMpLHhl006jZyEpzkpESTm5VIYmL0By5nVrpOXX0n5edaKW/spbzLw+lhGL2QwDpNxlqwn8p3UJIZy5yCFDIyE6dF+fS7haoe9xRwJ/DzK3lS/YCXJ+s9rIg18VB+HGtL88jISJiYCIUQQlw79li493Gofg1qtkPlCwCYgLgL2yV1Ajlr4BP/v9GpeWQERkb461MdDLcN0dcxk7pgGL3BMLoD4bTrDgaUnWFlx004w8rOMHZ0wnDY7ETY7PxkXgTJsRFQVnZx9NdntvDHQ/UcquvlYNcS2i80G4k36yyJs3BDdgxLSzLIz0+dlicLQggh/pLdEUZRYQZFhZdohujxvFXOfGGraHSzpSeIt8YDdAM1RGg6OXbIcVmMcuYkYzminEstRzQ09NYasF1deDu72XAungAa4Zqi2An35RhrwZYUpJCbnYzpOmmGG9LyY03TdgIPj3Wkdtas2erE8WOE28Mu/2DxvqT8WAgxaSkFnZVQuwP8oxDmMjabE8KcYLvwfZjTuM3mHHMTJaUUgwNuOrsG6OgeorPPTefAKB1DHjrdfrpGg/wyc5go3wgEAhefpytY0JCCxQRL4ywsyY5hWUkmeXkpksQKIYQYMz2o09rWS11TN3Vt/dR2DVPX76XOrdPs09DfNuUm3myUM4dbNH6a2Eu0f9S4w2SCuDhISOAVt52srERm5KVMm/5BU6b8+EpomvY54HMAmZmZktAKIcR0p2mQVGRs475rjahoJ1HRTmbMuMyDfb6LI78mj4dt1ggS06dn2ZYQQohrw2Q2kZ4eT3p6PKvedZ/X66epqYvapm7qOozliGoHfPR6dboS0onOTTLmwMbGgtkMwIev/VuYlCYsqdU0bTuQfIm7vqWU2jLW/SilfgH8AoxGUeMUnhBCCPH+bDZjizaWgEsKcThCCCGmt7AwK/n5qeTnp4Y6lClnwpJapdT6idq3EEIIIYQQQggBU2xOraZpQ8DZCQ1KXG/iMWbqCzFe5JgS40mOJzHe5JgS402OKTHeZiqlXFfyhFAt6XMH8FMgAXhJ07STSqmbxvDUs1c6aViI96Np2lE5psR4kmNKjCc5nsR4k2NKjDc5psR40zRtTAOebxeSpFYp9SfgT6F4bSGEEEIIIYQQ08f1sXCREEIIIYQQQohpaaoltb8IdQBi2pFjSow3OabEeJLjSYw3OabEeJNjSoy3Kz6mQtooSgghhBBCCCGEuBpTbaRWCCGEEEIIIYS4SJJaIYQQQgghhBBTliS1QgghhBBCCCGmLElqhRBCCCGEEEJMWZLUCiGEEEIIIYSYsiSpFUIIIYQQQggxZUlSK4QQQgghhBBiyrKE8sU1TfsNsBHoVErNvtzj4+PjVXZ29oTHdb2o7XIDkJsQEeJIhBBCCCGEEAKOHTvWrZRKuJLnhDSpBX4H/AfwP2N5cHZ2NkePHp3QgK4n9/78AABPfX5ZiCMRQgghhBBCCNA0reFKnxPSpFYptVvTtOxQxiDEtTLQ3c/RsjpON/UR5bCRFO0gKc5JUkIUCYnRWMPDPtiOlQLvIAy2wdDbNpsLspZDYhGYZKaBEEIIIYSYnkI9UntZmqZ9DvgcQGZmZoijEeIK9Pcz3NjCj/c2c6jTS6XHhEK7cOcoMHDxoRqKOLMiOQySwk0kRVjIiw3nMyXRoLkhwgnJBRAe/s7XOPF7ePnr4He/dxzh0UZym7XC+Jo8B8yT/ldfCCHEeAkEoL0dmppgcBCsVn7WqBNus+AMsxJht+K0h+F02Iiw23A6w3FG2Ilw2rHZw+TCqBBi0pv0Z7ZKqV8AvwAoLS1VIQ5HiEtTCnp6jJOGtjZj83iwK3ipNYV8l4WvFESyZFYqc4sycI946G6sY6i1lpGeJvz9rWgjXVh93ThGeoly95HU2Qtnh4392+dDzANgNlNvcfJwSwRJdgsLbIMscm3AFJlMWGwGzuRsYjJmEB6XBiM9UL8PGi5sZ1829mVzQeYSWPk1yF4Rup+ZEEKICTPU0c3+47XcoLqxtLVBMAhmM0RFofv8/GtVJOC97H5smsJpUkSYFE4LOC0aT80zYbLZ4G2bslp5qt6DI9yK0xGG0xFGREQYzgg7TpedCEcYYRYTmqZd9jWFEOJKTfqkVohJSddpOd/MoVPNHG7o41BPgP9J7ibDEgCnHTIzITkZc0oKB12RmEwaNB6EbZ+FHe04httJ0APv2qkGzkRwpYCrGN2ZDPY4sMWCPQPsOeB24+sYwtripbLfxw5fOiMqE1rfvp9qXKZzxqivPYqkiM0kRX+EnNQR5lhrmKmfhdbDEHyPkxmlQE46hBBiSlE+H2cratlZ0cLOpmGOus0E0HimYJRFs2ZBRgakpIDFggmouVfH7Qsy7PbgHvYw5B7F7fbiHvUxNOLD7fExPOpn2Btg2BswHuvT8QZ1TH4/uN3g94PPB34/Xh3+rj7tfWO0oHCaFRFmIzl2WjQirCYiw8z8x9JoI0G2Wi8myrrVyhtNbiIcYbgiwolw2nHabTjDLIRbJUEWQrxFklohxkD5/TRW1VJRforalgY6h3qw6gMkaf2sNPXySVs/SSND4OsG+2JYu+Xicy8WbVnCIMwJ8auMxDUyFVzJ4Lrw1Zn0jrLg9yr2KgCe2HwhLl1neNBNR0c/Hd2DtPcO0zEwSseglw53gPbRALWDATqbvATQWGNP4b9TbGAtgf0tUPYcRERQGQzn8RadpKhw7m/6OlabjUDmCsJmrMGZtxQtzDkRP1YhhBBXYbCtk31Hz7Ozpodd3TrtQTMAhREWHiqOYu38LObNSgPzX36iWMwmouwmouxWiHddXSBKYfP6ONA7zPDwKMNuL+4RL8MjXoY9ftweP8Me/9uSYyNBdgd0BkaD9Lt9UN4Iuv6O3bp1jYfqUy/5kmbelRxbNJw2E06bmYgwM7F2K3+/IhWSk8HhuLr3J4SY9EK9pM8TwFogXtO0ZuB/K6V+HcqYhABQHdUMvvx9hrubUaNdOIJ9ZGlDZL35ALOx6SYrWmQKmisVXDOMRDXpPVanSp0PH99y6fs+IM1kwhXtwhXtIn/mez9O93jp7urHP+wG04Ur7MPDMDICQ0O0tPfy59YIenU3Nks2y0ynmd39U8wn/h2/MlOl5VJjKaLVMZvh2HnExMaTFBtBUkIUWclRpETZx/V9CSGE+EvK46HyzdHYZjfHRywE0HCZYWWSnbWzkllTmkdyzDVO4jQNU3gYKakfsOHhm4JBY+T3wuiv3eNlS+ugkSCP+hge9eG+MHL89tHjYb/CHdAZGoL2oJEMWzX4+9EzRuVRWhrk50N2tjEKLISYdt43qdU0bcH73a+UOn41L66Uuv9qni/EmI32Qc3rMND0zi7BNid8/HkjuWtv50BFI49VDdIy2MGvLDvpUzH0aXFo9kKccWmk5M4kMSMPLTIVXCmYHLFTolTXFB5GYkbSe96/HjgeCOAdHKazs5iO7iG2d3VCxwlcgxWkeE5zW+BFLINbCA5onKrN4bBeyAv6LFIjMvleXjg4nRARcXE7M2rmWF+AotwkFuTGS5mYEEJcKaWgq4uzp+v49fFOdvUqOi6Mxs5y2vhsSRRr52ezYGYK1kuMxk45ZjPY7caGcZI6N/39S5r/glJGYyyfz/hsr6+HmhrYuRPMZqriMvizP5rNa2aRm3iVI9RCiEnjciO1P77wNRwoBcoADZgDHAJWTlxoQlwlPQi1O4wOwVUvvTWHNCwSIhLBGgPKDk8+aXSDBLpHIygbiWZJeh5v5L/E4jlZFCe6ro+EzGIhLDaajNhoMi7euP6t+31uaDyMqWYHxfX7Kenczmf1l1F+DZoywbUAom4yRoF1nT39Tn7YGwWvN5Dj0Lh7TjJ3ri0kJVrKwIQQ4j2NjkJzs9GpuLkZPB6GPTb+3BvPqmQ7a4tSWLMwhyT5W3ppmmbMy7VajYusCQmwaBF0dEBNDUeONPPv7T7+7VgXJVEmNs9JYeOKmSRHS8WREFOZptTlGwprmvYk8AOlVMWF72cDDyulPjmx4b1TaWmpOnr06LV8yWnt3p8fAOCpzy8LcSTjrLsGTv4eyp6EoVawxxDMv41q6xL2drjY16mw6wH+M6kXwsKMxhnJyZCSgh4Ti8liDvU7mBr8Hmg5Bg37oWGvMTf4jkeNq+QeD8GhYbq7+tld1sCz1UMcGrWhoViZFMY9y3LZsDCbcKv8rIUQ1zldZ6Cxlb0n6qhs6uXh8A7jdrsd0tMhIwM9NY1gWNj0GI0NNV2n41w9LxyoYWv9COVeKxqKpfE2Ni/M4OYl+UQ5rKGOUojrmqZpx5RSpVf0nDEmtSeVUvMud9tEk6R2fE2rpNYzAKf/BCf/AE2HUJqZgehS9qvlPD1YxKFRO6PKOBnIi9BYl+Xi2xuLISZmSpQPT2lHfwP7/p1hVzF7+tL5Vd8MjgVScJkVm2ZEc/eaQuZlx10fo+FCCAGooSFOl9ey60wbO1s9HB+1EEQj0qzYsymFqLwsiIuTz6eJFghQW3aOrUfq2dLip85vwaop1qba2bw4hxvmZ2G3ycVXIa61iUxqnwDcwOOAAh4EnNd6TqwkteNr2iS1wSCBZ76Apeopesxp/Dm4gke9q2lRsQAUukwsSXexpDCFxcXpxDuvspGFuDLnXoVjvzPWyvX0A+C1JVIezGeLZxZ79SIsjlTunp/KnasLSYwMD228Qggx3oJBBuqb2X2inl11/ezq1+i6MDe2ONLE2rxY1i7IZn5uAhYZjQ0JNTrKqaNVbDnezNZORWfQTIRJcVO2i03L8llZlCL/N0JcIxOZ1IYDXwBWX7hpN/CoUspzxVFeBUlqx9eUTWr9fmNuTFsb/364nV1dAQa8PUTgpkLlUhxlZXFGJEuK01g8M4Voh3Q6nBR0HTrPvFWuXL8PRroB6CWafcFCDuuzcKbM5xufvMtoPCWEEFOUPjDA6bLz7DzTzs52Lyc8VnQ0oiywKtXO2tlprJ6fRaJLLuRNNsGBQQ4drGRrRTsv95oY1E3k2uH1BwrQcnLAIitiCjGRJiypvbBzO5CplDr7QYIbD5LUjq8pk9R6PNB0HsqehfZTELbBmLepaXyiO5lBk40l2dEsKUpn4YxEIsNlLsyUoBR0VxsJbt0eAjW7sXiNJBdTBEQVw9p/gNnLjY6YQggxmQUC0NoKTU08cbKdH7da6b4wGjs7ysza/FjWLcxhblacjPhNId6OLnbtr6SnuYP7w/qMhDY7G2bMMJYKMsn/pRDj7YMktWO61KRp2ibgXwEbkKNp2jzge0qpTVcephCX4XbTU9vE4TPNdDQcId29h7XaESz4ICwFFn0F0nMgMZHfmi2YTDLnaErSNEgoMLbST2NRCvrqoGo7nHkN2o/BgWNwshby86mMzSA+PYkEV5gx6isnEkKIUOvrM7oUNzVBW5vxt8liITYyhaWmcNaWpLN6boaMxk5hYUkJbLgjwbgQ295uLA9UW2t8DQ9nmyOD82ExbFpZQPq1Xh9YXJf8fj/Nzc14PNe0YHZChIeHk56ejtV69QNSYy0/PgZ8CNiplJp/4bZypdScq47gCshI7fiaNCO1bjcdZ+s4WNXO4ZYhGga7Wagf4C7zbjJNXYxipy/9JlLXfx6ylknjjOuFUtDSAmfPQn09dzbGUOa1sSHVzL8N/xWW9IWYspdD9kpIXQAWKTMXQkwwn4++8w3sLmtkV/0glqCff0noh9jYi52KSU6W6pLpLhg0lluqrua7R3r53UAEAKVxVjYvzOCWxbnESf8OMUHq6upwuVzExU3tJptKKXp6ehgaGiInJ+cd903YSC0QUEoNTOUfnJhklGKkvpEtOyt5vG6UWp/OzabD3GvZzRLzGZRZYyhlOYHF/4S9eBN2m1z9vO5omnGSmJ4OXi//cqySZ4828kZHP09qi1h+vpL82teNx1odMPtOWPQQpM4PbdxCiOlDKfTubirKatl5tpOdnQHKvMbc2GirjQ9nx8F9txrroYrrh9kMWVmQlcV3V/v4TEX1hQ7KI3zn1Vq+++p5VqXY2bw4mxsXZOEMkzm4Yvx4PB6ys7OndEILoGkacXFxdHV1jcv+xvpbdkrTtAcAs6ZpM4C/AfaPSwTi+uL1cv7oaR472MAfe8wUqmr+xr6HdZaD2PRRVEw2zPsW2tz7iIzODHW0YrIICyN/+Tz+bvk8Hu7pZc/eTH5yupujgx7mmc5xu6mM9WXPYj3xOKSVGslt8R1glZI/IcQV8njoqzFGY3c2DrF7yEKPbkZDY06Mgy/NS2Dt/CzmZsZilukvwmYjY2ExX1xYzBdHRqg6VsWWE81s7Rzmf22pIvyFStZnuti8LI81xanYLDJ1Rly9qZ7Qvmk838dYy48dwLeADRdu2gZ8XynlHbdIxkDKj8fXNS0/7u5mtOI0D+3pYd9IGHNNtfzK/jMSgm0oawRa8R0w7wHIWi7lxWJsdJ3+6jq27jvHsw0e6rwB7jHv5rPhb5ASbEbZY9EWfAxKP8wTXqYAACAASURBVA0x2aGOVggxWek6emcn5eV1xmhst06Z14pCI8YKqzNdrJ2TweriVCkpFWOm9/dz/FAlWyraeanXTK9uJsoCt+RHs3llAYtz46UniPhAKisrmTVrVqjDGDeXej8TuaTPPUqpZy5320STpHZ8TXhSGwwazRT+X3v3HR5XdSZ+/HumqvdqdcmyZNmy5YILYCwXbEwPwQ6mLCQQkk1CWRaSTUISdtMTsptNlmWT8AskkFACGNNrsI27LbAlWZKtYslW722kkaac3x8zGOMYW5Ilj8r7eZ55NHNn7r3vPM/Vnfvec857Dh2C5mYwmbirJ4GsjHhuWBxH1Bt3wpwNMPNqsMr0LeIc9PdTtq+EFwqOs6lVkakP82Xz2+SrAhQalbkGFn0ZMlZJgSkhhEd3N5SUwJEj3F4dwHt9/ig0cyIs5GdFk5+XypykMGmNFefM0djE9t1lvFzaxlvdZvq0gctjjfzvhlyYNk1u5othGY9J7R133MF9991HTk7OsNc930nth1rr+WdbNtYkqR1dY5XU6u5uBopL8Cs/DD1HIHoWzJoDM2aARYr5iLHlaGpm6/YS/lbWzqGeHn4X/g6z3DtgoB3u/ggi0n0dohDCV7SGY8c8yezx456bXKmpvGuMpjcolGUz46U1VowdremrOc57u48Q2tbEJWYbBARARgZMnw7R0b6OUEwA4zGpPRejldSecUytUmodcDmQoJT6zUlvhQDO4exITHJa01tZzUtbS3mjppEvmrex2rIH+uth1VMwc7avIxRThDk2htWfj2G1y0VbWSUBR6Oh/iIYqIbtxZDlgPR0tMk0acakCCHOwm6nfE8RNaVHWW3o9CQSCxdCdjYEBLDa1/GJqUEpAlKTuSo12TOv8bFjnqmBDh2CoiIIDeV3rnhMMdFctSiNmBCpCyHGH5vNxoYNG6itrcXlcvG9732PRx99lIcffpiFCxcSFBTEPffcw6uvvoq/vz+bN28mNjZ2zOM6W6GoemA/cDVQcNLyHuBfxiooMYHY7ZTvLeaZ3ZV0dhVyleED/mwsxOjSEH0h5H0H0vN9HaWYioxGImfNgFkzwGaD8nLP9EBbt2L/YAdXNsSxKjuGm2a7SbYfgdmfB7O/r6MWQowiR0Mj72wp4s9HetjdbyXeEsDK2xZiSE2VoQjCt0wmSE/3PAYG4OhRqKhgW0ELOwp7+PG7lSyN8+eaC1JZOz+ZUP9zn8dTTE4f97w8k8/qlXm6dc/Wg/PNN99k2rRpvPbaawB0dXXx6KOPnnjfZrOxZMkSfvzjH/PNb36TP/zhDzz44INnjfFcnTGp1VofBA4qpf6qtXaMeTRiwvj4QmH74YNkO3dzl3EnYWYbg4HTMMz/V0/Rp8gMX4cphEdgIOTleR5NTXQcKCW1sZ3HChoJPfgsXzO9zMBr34Z5N2Ndcoccu0JMZE4nTYVlPL2jkqcbFU0uIwn+fnxreRIbls3AIN2LxXhjtXp6DWRn85cVNio+LOPlj2rZ3NzLN18p48FXy1iRHMi1SzJYMXsafmaZB1n4Tm5uLvfffz/f+ta3uPLKK1m2bNmn3rdYLFx55ZUALFiwgHfeeee8xDXUKX1SlVI/BXKAE30htNYyOG0qcTppKjrM5m37sbfuZK3azuWGWpxmC67sK2HhP2FJuwQMcrIV41hsLPFrY3lslZOWknI279zAA3U5LHe9z9q9v4N9/0t73MWELv86xqy1cjwLMUHozk52f1DIU4UtvNVjxYWR5QkB/GRFNvk58VLwSUwMgYFMX7aA+5Yt4F/a2zm4r4zNRY28UuvirWcLCX6+kLXTw7jmwkyWTo/CZJQeB1PdudTGGcm6M2bMoKCggNdff51vf/vbrFmz5lPvm83mE8O7jEYjTuf5GbE61KT2ceAHwH8BK4AvAvLrMEXozk52bztI0cG3yBjcyZcMBzEZ3XRF5OFeej+m3Osw+YX6OkwhhsdkInrOTO6YMxPdvZzivSv4dcEhAnu2c13D+xif3UiXORbngi8RuewOCIzydcRCiFNpTU95FZu2lfFkjYNyh5kwsx9fWhDLTStnkhIZ6OsIhRgxFRFB3toLyVsLDzY0smtPGZvL2njzSDvPH95HlFVx5cworlmaSV5ymNSJEOdFfX09ERER3HzzzQQFBfHEE0/4OiRg6Emtv9b6PaWU0lrXAA8ppT7Ak+iKychbIXLXjmK+X+qg3GHiPetLxFjt2OZ+jdAltxIaPcPXUQoxKlRICLmrl5C7ajEDx9fy3vYijlZsY559Cxfu/imO3b+kLu5Soi+9m8D0pTL9ghC+1t/P4d1FPLm/lk3tZmzawJzwAH65LIOrLkiV7pli0jHGx3HxtXFc7Hbzw5rjbNl9hM2V3fz1YDNPHGjhvpkB3H3VXIiI8HWoYpIrKirigQcewGAwYDabefTRR7n//vt9HdaQp/TZASwDngf+DtQBP9NaZ41teJ8mU/qMrtNO6dPf7ymmU1ICvb2UqGC+3RHJLcsyuDLTiF9EknTHFFPD4CBNxUfYsv0DLK3vslrtIFj14wibgfnir8Oc9WCRViAhzqvGRigpoaz0GJcdj8ai4OoZYdyyaiZzk+ViXkwxTifdRyp5a08l8/qbmG5yQEyMZ3xuRgaYpbjUZCRT+pzeUFtq7wUCgLuBHwIrgVuHs6PTUUpdBvw3YAQe01r/7Fy3KUbGWXsc086noOpVME+DrFth6VJyUlLYLBUixVRksRA7fzZfmD8b3XEDhTsLaC96iRW978Cr90Dxdrjq5xAZ6etIhZjcnE5P9fKSEmhrA4uFrLxMfj47ijUL0wgPlPnPxRRlMhGSk8X6nCyw2z3TA5WWwrZtsGsXZGTwJ3sEy+enkRolN2HF5Dakltox2bFSRuAIcClQC+wDNmqtSz5rHWmpHV1f+L+dxHWVcov7LdLtO4lQPWAJh0VfhdX/5uvwhBh/3G44fhz2vwwtdjCEQlQUR+PS2KdCuWJ+MoHWod4rFEKcie7oYOe2QtKba4jXdk+3ylmzIDPTMx2KEOL0mpqgrIy6sqNccjQKF4oL4/y4YVkma+cmYDVJj7uJTFpqT++MvwpKqVeAz8x6tdZXD2dnp1gEVGitq7z7ega4BvjMpFaMDt3RwY5thfQcq+RZy30MaiOF1kX05d9O4uLPgVEuFoQ4LYMBUlIg5a5P7oofOcLrH5Tyy45QHnq1lIdid5Ox4kbmzcrGINVWhRget5uu8qO8sLWMp447qHKYuTs9lvuuyYPYWF9HJ8TEEBsLsbEkLF3KjsIy/rbrKM809XL334oIf6mIz+fGcEP+TKbHBPk6UiFGzRlbapVSy8+0stZ664h3rNT1wGVa6zu8r28BFmutv3HK5+4E7gRITk5eUFNTM9JdTm1uN11HqjwXCrVOqhxmTApu8N/LP9/+ZRISEn0doRATlm5t5cPdJbxfWMj9g99lUBvZphbTkXUjS9ZcR5JUYBXizPr6KNldxJP76nip00y/NpAXYeafLpnO5QtSpPCTEOfI3dLC9u3FPH2onXd6rThRLIq2svHiDNbNT5b/sQlEWmpPz5fdj9cDa09Jahdpre/6rHWk+/EI9PVxaFcRT+3/5EJhXqSZW5ZN5+mPGjEY1DnNbyWEOInbjf2jLdRu/QPx3e8TSD+l7iR2Bl5O1LLbWLMwC3+LXDgI8bGB2nre3FLMnytsFNgt+Bngmhlh3Lwqh9ykcF+HJ8Tk43TSUnyY53dW8my9ptppIsQE1+VEccOKbLLjZYrG8U6S2tMbUj9TpdRRTtMNWWudPpydnaIWSDrpdSJQfw7bEycZOF7HG1uKebKyz3uhYOWarHBuWZ3D7MQwAJ492OTjKIWYZAwG/BasZPqCldDVSvvbjxJV9hy39/+Onrf+zItvLKMx+TqWr17DgtQImVNQTE0OB3UFRbyws4Q/tYbQ5jaSGujHg6tSWH9RJqEBUrFViDFjMhGdN4t/zpvFV9ra2L2jmGeKW/lrYQtPFLYyL9LMxgszuHqRTI0lJpahDp48OVP2A9YD51o7fx+QqZRKwzNF0A3Ajee4zanN4YDycv7n3cM83miUCwUhfCk0ioj13wP9IO7idxh4/xG+0P53THVvs/OPOTxkXkPq4uv44tq5vo5UiPPC3d7OB1sLeaO4jAecPyLBncf8hH/llpUzuTgrVsagC3GeGSIjufDq5Vx4hYv20nJe3FHB07V9/PC1Eq7sroBZMyEpSeZmFyOWmprK/v37iYqKIigoiN7e3jHb15CSWq112ymLfq2U2g58f6Q71lo7lVLfAN7CM6XPH7XWh0a6vSmtvd0z1UF5OTgcNDrjmJ8Ywi0rsuVCQQhfUwpD7hqictdATzOD7/2GucXPcKHz13TtegKq8uGCL0LuUrBafR2tEKPL7Ybqaigp4UeFNv7YHUSUJYGNUctZvmwjn5+3wtcRCiGMRiJmZ3PH7Gxu7+zk+IclBNRVwps1EBQEWVmeR5AUlhL/SGuN1hqDj6cAHWr34/knvTTgabkNPteda61fB14/1+1MSW43+uhRVEkJNDSA0eiZaDsnhx9GR0u3RiHGo+AYLNf+CMvV/w6HXiVk+yPQ9BK8/i589H1Iy4AZM+iKjCUkwCL/x2LiajgMW38P9lQYtEJQENcvzWRuYDSXzU/CarrK1xEKIU5DhYWRvPJCcC+BmhrPvLcFBVBQwOt+iWx1h3LDipnkJYfLb9QUVl1dzbp161ixYgW7du3i3nvv5eGHH0ZrzRVXXMHPf/7z8x7TULsf/+qk507gKLBh9MMRZ2WzUbSzkD8XNNA+6Ob/ZTpg8WLPHTQ/PwDkFCPEOGcwQu41qNxroK0SqvaDM9nT26Kqin9uiqFJ+XH9ggSuuyiT2BA/X0csxNnZWnFsf4L+A88R0n/Ysyz9a7D2q5CcTI5S5Pg2QiHEUBkMkJbmefT0wOHD1G8/yitNLp4t20V2iJGNS1K5dmkGof4yvM2nHr/i9Mu/+NrwPn+29U5x+PBhHn/8cR588EGWLFlCQUEB4eHhrFmzhpdeeolrr712SNsZLUPtfiz9g3zMXnOcV7ce4snKfg4OWPA3WPlcdgTO9YswySTaQkxckRmeB3huUB07xrVbyvhbdT9vb3uPzdu2ExefxfqLMlg9NxGr/L+L8WSgBw69TP+uP2Ft2YcZN5XuRHT6bYSuuhOSZvk6QiHEuQoOhoULuWP+fL5QWc0r2w/zdHU/P3i7kp+8W8EVGaFszJ/JwvRIab2dQlJSUliyZAmbN28mPz+f6OhoAG666Sa2bds2PpNapdRPgF9orTu9r8OBf9VaPziWwU15g4McKzjEX3ZV81yrkQ63kYwgfx66JIXrLppOiJ/cGRNiUjEYIDWVDbelssFux/5/l+LXWchHrVk89sJavr9pIVdkx3D9JdnkJoXJxYPwDecgVLyLLvgL7oq3MepB2nQUr7iuoCVmNavWriNrRowUlxFisjEYCM5M58bMdG602SjeXczTH9azuaKTF8v3MD3IwA2Lkvn8RZmEB1p8He3UMcSW1RF//jMEBgYCnjG148FQux+v01p/5+MXWusOpdTlgCS1o83lYrC2ju37KniytJMtNgsGzFyaEsQ/rcphaaaMlxViSvDzw+/OzfDRU+Tt+QOPdP+GLkJ5qmwlXzuUT2BwHNfPT+TaizKJDpYCU2KMud1QswOK/oa7eBOGwW66dDAvu5az1XARs/IuYeOqHOJD/X0dqRDifAgMZPaqxfx4pea71cd4dVsZT1f18aO/V/OL949yWVowN+RnszQzRq5bJ7nFixdzzz330NraSnh4OE8//TR33XXXeY9jqEmtUSll1VoPACil/AG5ihotvb3Ul1axpaiWLXX97OizYNMGoq1+3LV0Ghvzs+RCQYipKCACLrobtfQbUPkeoXt/z9fKX+Lrpk0cH5jGm9vzuG/bXALj53HtxTNZmZuIxeTb6oNiEnI54DcLoKuGAay86VrIJtdFDETM58b8HB7NS5LjToipSikC0lLYkJbChv5+yvYd4pl9x3mxupuX/7if1AAD965I59plWb6OVIyR+Ph4fvrTn7JixQq01lx++eVcc8015z0ONZQmY6XUN4GrgccBDXwJeFlr/YuxDe/TFi5cqPfv338+dzk23G5obIRjx+D4cd6t7eeOpkgApvkplqeHs2JeCvkz48b0QuELv9sFwLNfWTpm+xBCjLKOaih9FY68ha7ZhdIO+rSVHe7ZhEbPY9Hq9ZC9yNOVWYhzZD9Wy8vvF2Ov+ht7HfHsUvNZlx3PLatnkRUf4uvwhBDjlP14Ha9vPcQzFTauDbJxY0YgZGfD9OlgluFz56K0tJSZM2f6OoxRc7rvo5Qq0FovHM52hpTUeje+DliFp7ju21rrt4azo9EwoZNam42O8mrCm+ugrg4cDs9FZ3w8nbEJ/K3NTH5eMtNjgs5bNw1JaoWY4AZ6ofoD3EWvMHDkHfwHmz3LQ5fD0u/AjBkQEeHbGMXE0NMIxS9C/FyIWwCVlQwUHeLiIj9aXEYyg43csjSVz12YQbDUcxBCDNXAAPrIEdThw9DeDiaTJ7HNzsYeHomfWYofDpcktac31O7HaK3fAN4YzsanNLebgfpG9h+oYkt5G1vaNbVOIx/ldOM3fTokJUFCApjNhAFf9nW8QoiJxxoEWeswZK3DX2toOQz7n4ceCxQXQ2EhgxFR/Ft7BJcvzmB5dhRmqwxlEF79nVD6Chx8Fmq2Axqi1oFlJQDWmBi+fkEcWTmpLJF6DkKIkbBaUbm5kJsLzc2eeW8rKhgoLWNZ7TTyYgO4cXkWl8yahtEg5xgxcmdMapVSPXi6G//DW4DWWkvfo5P191NbWsWWwlq21NrYaTPTpw1YlJFFMX58IScOV342WId8L0EIIYZGKYjJhsu99fvsdqiooPpAOdtqunmxqpDfW3/DfGsdhqy1RORdASkXgUnKI0wpjn4ofoXB/X/BVL8dg3ZSr2Pptl5GduRcSJoL8fGeG69RUdzm63iFEJNHTIznsXQpA6XlfH5LBc839PLOXw4wze8g6+fGsmFFDglhcvP1bLTWk+JG42hWTh5y9+PxYNx1P9aagYYm9n5U6WmNbXNT6fB0y0r0V+SnhZKfl8rSrFgCx2EiK92PhZgaHM0tbN1RQn3xi6QNFrDIUIZVOXAY/CDtEsxZa2D6aohI83WoYizYeujctYmeoheJ7tqFH3aadRivuJbyhr4QU0Q2ty9N4dIlmTIWWwhxXg02NfPetkM8XdbJBzbPNXT+NH9uWDaDlXMSMBvlnHSqo0ePEhwcTGTkxJ4XWGtNW1sbPT09pKWddP1ht6P8/cduTC2AUioG8DspmGPD2dm5GhdJrd1OfdlR3jtw3Nsaa6JfG7AozeIYP5bPjCV/XioZ53Fs7EhJUivEFON203bkKK9+UEzV8Y9IdxezwniQZOUZi6sjpqMyL4XM1ZByMZj9zrJBMS719dFwpIbyA1sw1b1H9uAeIlQ33TqAd9yLOBKynJCs5SyancKc5HCsJhnTJoTwMaeT4wcP89zOKp5r1DS5jMRYYH1uDDeszCEpMtDXEY4bDoeD2tpa7Ha7r0M5Z35WK3EmC0ermyiqbqOouY8PuzVv/PC6sUlqlVJXA78CpgHNQApQqrWeNZIvMFI+SWq1hra2E5WKaW7mkfZAftkRSpK/Ij81lPy8FJbOjCPAMv5aY89EklohpjC7nUN7S3h+/zE+am1inipijekgFxhKMWkHmPwhbRlM9ya5Eem+jlh8lr4+qK/neGUdvynsYE+X4j/Ur8g3HmRAmym0LKQt5Qrill7PrNRYafkQQoxrzrZ23t9axDMl7bzfa8aNYlmslRuWTefSvGSZQmyicrlwNLdQXtFAcU0rRU02Crs1pYNmBrWnITDICLMiLDx3/5oxS2oPAiuBd7XW85RSK4CNWus7R/CVRuy8JbWDgxwvqaKhqo5Ftnro7/csj46G5GSaI+LoCQwhPXr8t8aeiSS1QgiAwZZW/v7BIZ4vbWdXj5sLDKWs9y/issASjN3HPBVxv7LN12GKj9ls0NAA9fWev11dADQb/FhbHckFcf5sDDtA5rRg4pduwOgf6uOAhRBiBFwuGoqP8NyOSp6rd1HnNBFphtc2ZhOXnSbDJcYztxs6OqClBVpa+PmH7exqd1M6aGbg5AQ23ExuQii5GTHkpkWTGhmIwaDGtPqxQ2vdppQyKKUMWuv3lVI/H+73G8/sza3sKahgy5FWtra6qHKYSDa72Lo8HpWc7Cma4e8ZuB7jfQghxGRgiY7isuuWc5nbTcvho2zeGcgr9dlcHtgO8U6YFuEpPOV3SnfkrlpwDkBkhm8CnyLcvb2Ul9Swp6yBPfW9HOpVvJNQhdlxCMKjYclGmDaNmMhICjQYDArPfWghhJjAjEbi587knrkz+UZnF9u2FbKtrJnYD96DjwIhLg5CQyEsjP6AIPZ2uEmPDyMhzN97HhTnhdY42zuoKK8j3t5JaGebp5ery+V532KhfCAaS7CZm+ODmZMRw+yMWNK8CexoGWpS26mUCgK2AX9RSjUDzlGLwhccDmpKjrLl4DG2HO9lV68RuzZgUbAkJoCbs2PIX5AO0UGeqqJCCDHZGQxEz8zgjpkZ3OGtnsyRI3C4FcqfgpQUmhPT6I2MJT0mGPb+Hnb8N4SnQealkLkGUi8Gs1SuPBeu7h5KD1Wz50gTe+p72ddjoMNtJAA7660FPBK4B1PzAdBOiFwLc+acWFeu44QQk5ExLJQVVy9jxZVuqKmB8nLPFEGVlQActpu5td7T5GQ1aNICjWSEWUmPDiR9WjjpSVGkxwbLPNujwNnZRWV5HUVHmylq6KWow0nJgCeP+m18J1elh8CsWRAV5al2HRLCY+chrjN2P1ZKTQdigQNAP2AAbsIzpvY1rXXBeYjxhHPtfmxvaWP3x62xLU6OOjw5fYo/5KeEkJ+XwpKcBPwtU6NohnQ/FkIMSXu7J7ktL+c/60z8pjOEhREmrklzMcf5Icndewlt3oPBZQeTnyexnX6pJ9GVVtyzcnR1U1xUzd7yJvY09LGv10CP29OtLs3Pyc0RR7jUtJfE9g8wOPshJBFyPw+56yF2ttx4FUJMXS4XdHfT19pBUXUrlY3dVLX3U9XjpMpu4JjTiJtPzpExFkgPNpEe4UdGbAjpiRFkpUQzLTzAh19i/HJ191BZXktRVQtFDT0UdTg4ZPcksAABBs3sMBOz44PJTYvmotwkYkLP/cb2SLofny2pfRX4jta68JTlC4EfaK2vGlGkIzTspNbphPp6Nu2sYHNlN7t6TQxohVVplsRYyM+KIX9hBmkxwWMX9DgmSa0QYljcbpoOH2XTjnKer7FT4fjkjreVQZYYSrnUeIB840ESaQSgwxxPY/gSbInLSbrgcmLjY30V/fjR0wMNDWzef4znq2wU2Az0eS8Q0gNgSXwA62IbmT+4g8DKV6G/A/zDYdbnPIls0hIZSyaEEGczOMhAWwfHaluprO+gqsVGZecAVb1uqgaNdHlvHl4R1M8j2Xi6Mnu7MxMaSo81EO1nJWSqtO729UFrKwfL6th0uIPijkEO9RvpPymBnRVqYnZcEHPSosidMY20mGCMY9BFaCzG1KaemtACaK33K6VSh7Oj86a7+5NKxfX14HKxty2camcAG7NCWJ6XzNJZifiZp0ZrrBBCjBqDgdiZGXx1ZgZftdvpbWyhqbWHpo5emjr6aOpZQEXvHHb2u9D2Rqa7ipnvKmRJ02v4N2/C9eH94JcBwXMg4TIICoOAAJ5r1DQ4DMSFBxATEURcVAix0aGEB5gndDG+E3p6PinqVF8Pvb0A1PSE06wDuT4ziFUJNvIibYS2H4TiF6CuDswBkH2FJ5FNXwEmi4+/iBBCTCAWC9b4WDLjY8k85S1ts9He0EplbRv+9j5QNk9ho5oaT5Ej4IWuQB5qCyPKrMkIMpIe7kdGTBAZCeGkJ8eQGD02Cd354Orrp7uuifDeT4o5YbMBUNUbwLOtYcwKsXJDciC5qVHkZiWQHhsyrr/v2VpqK7TW04f73lg5bUuty8XR0mq2HKgh3tbOZardszw0FLwFngaiY7Fap8hdlmGQllohxJhyOHDbbHQ0t9BT/gHxLduxNu8BRzfMeQT67dDXx53Hgni77x+7K1mUJsYCsX4G4gJMxARZiAv1IzYsgNjIIGKjQ0mMDcNyvm9SdtV5imQN9MBgDwz0ep97/jq6WmlvbqKnu5OBARsRqo94Qx8wAGk3wrxbIT4eHRaG+rjF9fUHPGOUDSbIWOVJZLPWgTXo/H43IYSYytxuz43Hzk5Kq1vYWtVJVUc/VT0uKu2KDvcnvzcWpUnxh4wQM+mRAaR7uzNnpMQQGmj14Zf4NJd9gKMVdRRVNlFU20VR+wCH+gws8Bvkyfg2T84UHX3iMRgajtFq8WkCOxbdj58G/q61/sMpy28H1mitvzCiSEfo46S2v6OLXfvK2XK4ma3NDmq8Y2Ovi4X/vDTFk8yGhJzP0CYkSWqFED7R1w4BEZ+8djoZ6O6l7dgRXKUvU2WeS+VAFE09gzT3OWnsd9E0oGlyGLDpT3e7fS6hlUURJggIgMBAz9+AAN5u1bgtFuJDDMQHOYgIVJicNk8COtjjSUIHek8koicnpSc+s+grMP+Wf4z/re/Crv857VcbwEyv9qdX+9GLPxj9CQkKJik+DoIiYPZ1kJ7/jyt2HgN7N4QmeLoaCyGEGF+cTjoaW6k61kplQxeVrTaqOgeosrmpGTTiPGns7r8nDnDr9IATXZlPdGsOGNuxu+5BB1WVdRRXNFJY20Vx2wCHbOrEb6ef0swKMZAbE8Ci6dFcvjQTLOOvF9BYdD++F9iklLoJ+Lgo1ELAAnxu+CF6KKXWAw8BM4FFWushDZRtbe/hlp+8zJ4eA4Na4ac0F0b7cXtWDMsXZpASI5yBrAAAClJJREFUK4msEEKMeycntAAmE9aIMKbVVsPh35IELA9L9hSbSs8Ho8WTcPZ3MdDZiq2zFXtPJ4N93Uwz2qDNBq4l4FoAjY1gt/OL4zFUOMw8YHqGr5tePmM4LoMf2hKIsoZg8A9BWYM9xZj8Tv+b0pl0JRWdiRxsHKSgw0ihPZAeAnAoK7NCLSxOCmFxTiLzcxIJtA5xkoGw5KF9TgghhG+YTIQnxrEgMY4Fp7zlsPVx/HgLVbVtVDV2c0GACXp7PENJPp7aBnigNYIPB62eYlXhfmTEBpOREEF6agzhYcPsmeN2M9jcwuv7ayiq7aSo1f6pBNaqNLOCjVyfEUBuSgS5MxLISIzAZJycNRnO2FJ74kNKrQBme18e0lr//Zx2qtRMwA38Drh/qEmtNT5TX/TVX5OfHER+XjKLZifL2NhzIC21Qohxp6MGKt6B8nfh6DZw2E7/OUsQWIO9f4NgwRdhwa2e99xu2lo6aWjpov/ofpzNpbQOmGkaMNFgN1M74Mcxhx91rgBs+OHi093J3pveRVKY36daf+1GMz/e2cCe5kGODHg+76c088ONLEoKZXFOAvNypF6DEEKIk2jtGava1QWdnTx5oJntDX1U9rioGTDgOKl1N9zoJiNAkR7q6c6cER9KemIUycnRGA0GVFcnqrX1kzGwbW04XW5mV8ejUeQEKXJj/MlNCic3K4HpyVETNoEd9e7HY00ptYVhJLV5efP1gQMfjm1QU4gktUKIcc05AA2Fnkq/lmBPEmsNAnPgqFT/HRh00NzSRXNLN43t3mJX3XbuTVX4D/R7KkH29UF/P9qtWV0fR0KQmcUpoSyelcScrAQspol5wSCEEMK3nIMOaus+6c5c1dZHZdcgVTZNq+uT3xYTGqvSvJvURLzJ7ekuHBV1YgxstTGIxMSJm8Cezlh0P/Y5pdSdwJ0AycnSPUsIIaYMkxWSLhizzVstZpISokhKiDrzB7VGDQ7yrsUyOaoxCyGE8DmTxUxqWjypafGsPOW9ri4bVTXNVNW1U9nUg23AhXvxRZA2zVM36KTfotTzGvX4NWZJrVLqXSDuNG99V2u9eajb0Vr/Hvg9eApFjVJ4QgghxNAoBVYrks4KIYQ4H0JDA5k3J415c9J8HcqEMWZJrdZ69VhtWwghhBBCCCGEgAk2plYp1QMcHtOgxFQTBbT6OggxqcgxJUaTHE9itMkxJUabHFNitGVprYOHs4JPxtQqpT4H/BaIBl5TSh3QWq8dwqqHhztoWIgzUUrtl2NKjCY5psRokuNJjDY5psRok2NKjDal1JAaPE/mk6RWa70J2OSLfQshhBBCCCGEmDwmT+1nIYQQQgghhBBTzkRLan/v6wDEpCPHlBhtckyJ0STHkxhtckyJ0SbHlBhtwz6mfFooSgghhBBCCCGEOBcTraVWCCGEEEIIIYQ4QZJaIYQQQgghhBAT1oRIapVSlymlDiulKpRS/+breMTEp5SqVkoVKaUOjKRsuBBKqT8qpZqVUsUnLYtQSr2jlCr3/g33ZYxiYvmMY+ohpVSd91x1QCl1uS9jFBOLUipJKfW+UqpUKXVIKXWPd7mcq8SwneF4kvOUGBGllJ9Saq9S6qD3mPp37/I0pdQe7znqWaWU5azbGu9japVSRuAIcClQC+wDNmqtS3wamJjQlFLVwEKttUwWLkZEKXUJ0Av8WWs927vsF0C71vpn3htw4Vrrb/kyTjFxfMYx9RDQq7V+2JexiYlJKRUPxGutP1RKBQMFwLXAbci5SgzTGY6nDch5SoyAUkoBgVrrXqWUGdgO3APcB7yotX5GKfV/wEGt9aNn2tZEaKldBFRorau01oPAM8A1Po5JCDHFaa23Ae2nLL4G+JP3+Z/w/NgLMSSfcUwJMWJa6wat9Yfe5z1AKZCAnKvECJzheBJiRLRHr/el2fvQwErgee/yIZ2jJkJSmwAcP+l1LfIPJM6dBt5WShUope70dTBi0ojVWjeA58cfiPFxPGJy+IZSqtDbPVm6iYoRUUqlAvOAPci5SpyjU44nkPOUGCGllFEpdQBoBt4BKoFOrbXT+5Eh5X4TIalVp1k2vvtMi4ngIq31fGAd8HVvtz8hhBhvHgUygDygAfiVb8MRE5FSKgh4AbhXa93t63jExHaa40nOU2LEtNYurXUekIinh+7M033sbNuZCEltLZB00utEoN5HsYhJQmtd7/3bDGzC808kxLlq8o45+njsUbOP4xETnNa6yfuD7wb+gJyrxDB5x6m9APxFa/2id7Gcq8SInO54kvOUGA1a605gC7AECFNKmbxvDSn3mwhJ7T4g01sFywLcALzs45jEBKaUCvQWOEApFQisAYrPvJYQQ/IycKv3+a3AZh/GIiaBjxMPr88h5yoxDN4iLP8PKNVa/+dJb8m5SgzbZx1Pcp4SI6WUilZKhXmf+wOr8YzVfh+43vuxIZ2jxn31YwBvafBfA0bgj1rrH/s4JDGBKaXS8bTOApiAv8oxJYZLKfU0kA9EAU3AD4CXgOeAZOAYsF5rLYV/xJB8xjGVj6dLnwaqga98PBZSiLNRSl0MfAAUAW7v4u/gGQcp5yoxLGc4njYi5ykxAkqpOXgKQRnxNLY+p7X+D++1+jNABPARcLPWeuCM25oISa0QQgghhBBCCHE6E6H7sRBCCCGEEEIIcVqS1AohhBBCCCGEmLAkqRVCCCGEEEIIMWFJUiuEEEIIIYQQYsKSpFYIIYQQQgghxIQlSa0QQgghhBBCiAlLklohhBDiHCilIpVSB7yPRqVU3Umvd47B/m5TSrUopR4b4fq/9MZ5/2jHJoQQQviCydcBCCGEEBOZ1roNyANQSj0E9GqtHx7j3T6rtf7GSFbUWj+glLKNdkBCCCGEr0hLrRBCCDFGlFK93r/5SqmtSqnnlFJHlFI/U0rdpJTaq5QqUkpleD8XrZR6QSm1z/u4aAj7uE0p9aJS6k2lVLlS6hfe5Ual1BNKqWLvPv5lbL+tEEII4RvSUiuEEEKcH3OBmUA7UAU8prVepJS6B7gLuBf4b+C/tNbblVLJwFvedc4mD5gHDACHlVK/BWKABK31bAClVNhofyEhhBBiPJCkVgghhDg/9mmtGwCUUpXA297lRcAK7/PVQI5S6uN1QpRSwVrrnrNs+z2tdZd32yVACnAISPcmuK+dtD8hhBBiUpGkVgghhDg/Bk567j7ptZtPfo8NwFKtdf85bNsFmLTWHUqpucBa4OvABuBLw45aCCGEGOdkTK0QQggxfrwNnCgApZTKG+mGlFJRgEFr/QLwPWD+uYcnhBBCjD/SUiuEEEKMH3cDjyilCvH8Rm8DvjrCbSUAjyulPr6B/e1RiE8IIYQYd5TW2tcxCCGEEGKIlFK3AQtHOqWPdxsPcX6mHhJCCCHGnHQ/FkIIISaWfmCdUuqxkayslPolcDMgc9UKIYSYFKSlVgghhBBCCCHEhCUttUIIIYQQQgghJixJaoUQQgghhBBCTFiS1AohhBBCCCGEmLAkqRVCCCGEEEIIMWH9f7q8amXObdLHAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 1152x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"show_originals = True\n",
"\n",
"\n",
"fig, axes = plt.subplots(3,1, sharex=True, figsize=(16,4))\n",
"axes[0].set_title(\"Determine phase delay of a single beacon\")\n",
"axes[-1].set_xlabel(\"Time [ns]\")\n",
"\n",
"## Originals\n",
"i=0\n",
"axes[i].set_ylabel(\"Originals\")\n",
"axes[i].plot(beacon_time/ns, \n",
" np.pad(ref_beacon, (0,len(beacons[0])-len(ref_beacon)), 'constant', constant_values=0), \n",
" label=\"Reference\",\n",
" color='g')\n",
"axes[i].plot(beacon_time/ns, \n",
" beacons[0], \n",
" label=\"Beacon 0\",\n",
" color='r'\n",
" )\n",
"axes[i].legend(loc='center right')\n",
"\n",
"for i in range(1, 3): \n",
" if i == 1:\n",
" label = \"Cheat\"\n",
" time_delay = phase2time(phase_modulo(beacon_init_phase,0), f_beacon)\n",
" time_delay_err = np.array([0,0])\n",
"\n",
" \n",
" ## Calculated\n",
" else:\n",
" label = \"Calculated\"\n",
" phase_delay, phase_err = beacon_phase_delay(samplerate, f_beacon, ref_beacon, beacons[0])\n",
" time_delay = phase2time(phase_modulo(phase_delay, 0), f_beacon)\n",
" time_delay_err = phase2time(phase_err, f_beacon)\n",
" \n",
" axes[i].set_ylabel(label)\n",
" print(\"{} Time Delay [ns]: {} \\pm {}\".format(label, time_delay/ns, time_delay_err/ns))\n",
"\n",
" ### Show original\n",
" if show_originals:\n",
" axes[i].plot(beacon_time/ns, \n",
" beacons[0],\n",
" color='r', alpha=0.4\n",
" )\n",
"\n",
" axes[i].axvline(time_delay/ns)\n",
" axes[i].plot(beacon_time/ns,\n",
" sin_delay(f_beacon, beacon_time, t_delay=time_delay),\n",
" ls = (4, (10, 4)),\n",
" label='sin')\n",
" axes[i].plot((ref_time+time_delay)/ns,\n",
" ref_beacon,\n",
" ls = (6, (10, 4)),\n",
" label='roll')\n",
" axes[i].legend(loc='center right')\n",
"\n",
"axes[0].set_xlim(0, 30)\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Determine delay between beacons"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 1152x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"abs_time_delay, time_delay_err = beacon_time_delay(samplerate, beacons[0], beacons[1])\n",
"time_delay = abs_time_delay % (1/f_beacon)\n",
"\n",
"\n",
"fig, axes = plt.subplots(2, sharex=True, figsize=(16,4))\n",
"axes[-1].set_xlabel(\"Time [ns]\")\n",
"axes[0].set_title(\"Time Delay between two Beacons[ns]: {} \\pm {}\".format(time_delay/ns, time_delay_err/ns))\n",
"\n",
"\n",
"## Originals\n",
"i=0\n",
"axes[i].set_ylabel(\"Originals\")\n",
"axes[i].plot(beacon_time/ns, \n",
" beacons[0], \n",
" label=\"Beacon 0\",\n",
" color='g')\n",
"axes[i].plot(beacon_time/ns, \n",
" beacons[1], \n",
" label=\"Beacon 1\",\n",
" color='r'\n",
" )\n",
"axes[i].axvline(0, color='g', alpha=0.3)\n",
"axes[i].axvline(time_delay/ns, color='r', alpha=0.3)\n",
"\n",
"## Correct Beacon 1\n",
"i=1\n",
"axes[i].set_ylabel(\"Corrected Beacon 1\")\n",
"axes[i].plot(beacon_time/ns, \n",
" beacons[0], \n",
" #label=\"Beacon 0\",\n",
" color='g',\n",
" )\n",
"axes[i].plot((beacon_time-time_delay)/ns,\n",
" beacons[1],\n",
" ls = (6, (10, 4)),\n",
" color='orange',\n",
" label='Corrected Beacon 1'\n",
" )\n",
"\n",
"axes[0].set_xlim(0, 30)\n",
"# put legend between plots\n",
"lines_labels = [ax.get_legend_handles_labels() for ax in fig.axes]\n",
"lines, labels = [sum(lol, []) for lol in zip(*lines_labels)]\n",
"\n",
"fig.subplots_adjust(hspace=0.3)\n",
"fig.legend(lines, labels ,loc='right', ncol=3, bbox_to_anchor=(0.55, 0.51))\n",
"fig.show()"
]
}
],
"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": "3.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 4
}