{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "*This notebook was created by Sergey Tomin (sergey.tomin@desy.de) who was inspired by questions from E.R. Source and license info is on [GitHub](https://github.com/iagapov/ocelot/tree/dev/docs). June 2017.* " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "# Tutorial N7: Lattice Design, Matching, and Twiss Backtracking\n", "\n", "### Outline\n", "\n", "- Design of a FODO lattice (undulator section) with specified maximum and minimum Twiss parameters \n", "- Backtracking through chicanes \n", "- Matching Twiss parameters in matching sections\n", "\n", "---\n", "\n", "### Introduction\n", "\n", "In this tutorial, we design a basic FEL beamline for an external seeding configuration. The layout consists of:\n", "\n", "- Matching section \n", "- Modulator – Chicane – Modulator – Chicane \n", "- FODO lattice (undulator section)\n", "\n", "The FODO section consists of repeating cells:\n", "\n", "- `undulator – QF – undulator – QD – undulator – QF – ...`\n", "\n", "where `QF` and `QD` are focusing and defocusing quadrupoles, respectively.\n", "\n", "We assume that:\n", "\n", "1. The **maximum and minimum values** of the beta functions in the undulator section are known \n", "2. The **chicane geometry and parameters** are predefined \n", "3. The **Twiss parameters** at the entrance of the matching section are given\n", "\n", "While this problem can be solved in multiple (and possibly simpler) ways, we take a structured approach to demonstrate the use of Ocelot’s matching and backtracking tools:\n", "\n", "1. Match Twiss parameters within the FODO lattice to reach desired beta amplitudes using the [`match` function](https://www.ocelot-collab.com/docs/docu/OCELOT%20fundamentals/matching) \n", "2. Perform **Twiss backtracking** through the chicanes and modulators using the [`twiss` function](https://www.ocelot-collab.com/docs/docu/OCELOT%20fundamentals/twiss/#from_seriescls-series-pdseries) \n", "3. Use the [`MagneticLattice`](https://www.ocelot-collab.com/docs/docu/OCELOT%20fundamentals/magnet-lattice/) class to construct the full lattice\n", "\n", "---\n", "\n", "### Optics Design and Matching\n", "\n", "Optics design is still something of an art — and only a few people in the world truly excel at it \n", "*(and the author of this notebook is certainly not one of them — at least not yet! :) ).*\n", " \n", "This tutorial is not aimed at producing an optimal design, but rather to illustrate the **use of Ocelot’s matching functions** in a practical setting.\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "initializing ocelot...\n" ] } ], "source": [ "# the output of plotting commands is displayed inline within \n", "# frontends, directly below the code cell that produced it.\n", "%matplotlib inline\n", "\n", "from time import time \n", "\n", "# this python library provides generic shallow (copy) \n", "# and deep copy (deepcopy) operations \n", "from copy import deepcopy\n", "\n", "# import from Ocelot main modules and functions\n", "from ocelot import *\n", "\n", "# import from Ocelot graphical modules\n", "from ocelot.gui.accelerator import *\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 1. FODO lattice matching \n", "### Design the simplest FODO lattice" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# example of the FODO\n", "U = Undulator(nperiods=50, lperiod=0.04, Kx=1)\n", "D = Drift(l=0.5)\n", "QF = Quadrupole(l=0.25, k1=1)\n", "QD = Quadrupole(l=0.25, k1=-1)\n", "\n", "M1 = Marker()\n", "cell = (M1, QF, D, U, D, QD, QD, D, U, D, QF)\n", "\n", "# suppose we have 5 cells or 10 undulators\n", "fodo = cell*5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Periodic solution for FODO lattice\n", "**Note**\n", "\n", "* In the most cases to find twiss periodical solution we do not need to put the initial conditions and we can use following command to calculate twiss parameters:\n", "**tws = twiss(lat)** \n", "\n", "**BUT**\n", "\n", "* To take into account undulator vertical focusing effect we have to define the energy of the electron beam. and in that case we have to define initial condition like that: \n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# create MagneticLattice object\n", "lat_fodo = MagneticLattice(fodo)\n", "\n", "tws0 = Twiss()\n", "# by default the all parameters are zero and \n", "# that what we need to force the twiss function \n", "# to calculate periodic solution\n", "\n", "# print(tws0)\n", "\n", "# And we need to define the beam energy\n", "tws0.E = 1 # GeV\n", "\n", "tws = twiss(lat_fodo, tws0=tws0)\n", "\n", "plot_opt_func(lat_fodo, tws, legend=False)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Matching\n", "\n", "In Ocelot there is function match() to perform some standard matching procedures. \n", "```python\n", "def match(lat, constr, vars, tw):\n", " ...\n", " return res\n", "```\n", "where \n", "* ```lat```: MagneticLattice\n", "* ```constr```: dictionary, constrains. Example:\n", "\n", " - 'periodic':True - means the \"match\" function tries to find periodic solution at the ends of lattice:\n", " \n", " ```constr = {elem1:{'beta_x':15, 'beta_y':2}, 'periodic':True}``` \n", " \n", " - \"hard\" constrains on the end of elements (elem1, elem2):\n", " \n", " ```constr = {elem1:{'alpha_x':5, 'beta_y':5}, elem2:{'Dx':0 'Dyp':0, 'alpha_x':5, 'beta_y':5}}``` \n", " \n", " - or mixture of \"soft\" and hard constrains:\n", " \n", " ```constr = {elem1:{'alpha_x':[\">\", 5], 'beta_y':5}, elem2:{'Dx':0 'Dyp':0, 'alpha_x':5, 'beta_y':[\">\", 5]}}```\n", " \n", " - in case one needs global control on beta function, the constrains can be written following way.\n", " \n", " ```constr = {elem1:{'alpha_x':5, 'beta_y':5}, 'global': {'beta_x': ['>', 10]}}``` \n", " \n", " \n", "* ```vars```: list of elements which will be varied during optimization, e.g. vars = [QF, QD]\n", " \n", " can be \n", " - Quadrupole (vary strength 'k1'), \n", " - SBend, RBend, Bend (by default vary 'k1' but can be \"angle\"), \n", " - Solenoid (vary strength \"k\"), \n", " - Drift (vary length \"l\")\n", "* ```tw```: Twiss(), initial Twiss\n", "\n", "***Optional arguments:***\n", "\n", "* ```verbose```: True, allow print output of minimization procedure\n", "* ```max_iter```: 1000, number of iterations\n", "* ```method```: string, available 'simplex', 'cg', 'bfgs'\n", "* ```weights```: function returns weights, for example\n", " - ```python\n", " def weights_default(val):\n", " if val == 'periodic': return 10000001.0\n", " if val == 'total_len': return 10000001.0\n", " if val in ['Dx', 'Dy', 'Dxp', 'Dyp']: return 10000002.0\n", " if val in ['alpha_x', 'alpha_y']: return 100007.0\n", " if val in ['mux', 'muy']: return 10000006.0\n", " if val in ['beta_x', 'beta_y']: return 100007.0\n", " return 0.0001\n", " ```\n", "* ```vary_bend_angle```: False, allow to vary \"angle\" of the dipoles instead of the focusing strength \"k1\"\n", "* ```min_i5```: False, minimization of the radiation integral I5. Can be useful for storage rings optimizations.\n", "* ```return``` result" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "initial value: x = [1, -1]\n", "Optimization terminated successfully.\n", " Current function value: 0.000017\n", " Iterations: 42\n", " Function evaluations: 82\n", "QF.k1 = 1.071039959675296\n", "QD.k1 = -0.8579474979724729\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# constrains\n", "constr = {M1:{'beta_x':15, 'beta_y':2}, 'periodic':True}\n", "\n", "# variables\n", "vars = [QF, QD]\n", "\n", "# initial condition for twiss\n", "tw0=tws[-1]\n", "\n", "match(lat_fodo, constr, vars, tw0, verbose=False)\n", "\n", "# results \n", "print(\"QF.k1 = \", QF.k1)\n", "print(\"QD.k1 = \", QD.k1)\n", "\n", "\n", "tws0=Twiss()\n", "tws0.E = 1 # GeV\n", "\n", "tws = twiss(lat_fodo, tws0=tws0)\n", "\n", "# let's variable *tws_fodo* will be the twiss \n", "# parameters on the FODO entrance \n", "tws_fodo = tws[-1]\n", "\n", "plot_opt_func(lat_fodo, tws, legend=False)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 2. Chicanes. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# undulator + chicane + undulator + chicane\n", "modulator = Undulator(nperiods=10, lperiod=0.1, Kx = 2)\n", "\n", "# Chicane from CSR example with small modifications \n", "\n", "b1 = Bend(l = 0.5, angle=-0.0336, e1=0.0, e2=-0.0336, gap=0, tilt=0, eid='BB.393.B2')\n", "b2 = Bend(l = 0.5, angle=0.0336, e1=0.0336, e2=0.0, gap=0, tilt=0, eid='BB.402.B2')\n", "b3 = Bend(l = 0.5, angle=0.0336, e1=0.0, e2=0.0336, gap=0, tilt=0, eid='BB.404.B2')\n", "b4 = Bend(l = 0.5, angle=-0.0336, e1=-0.0336, e2=0.0, gap=0, tilt=0, eid='BB.413.B2')\n", "\n", "d = Drift(l=1.5/np.cos(b2.angle))\n", "\n", "start_csr = Marker()\n", "stop_csr = Marker()\n", "\n", "# define chicane frome the bends and drifts\n", "chicane = [start_csr, Drift(l=1), b1, d, b2, \n", " Drift(l=1.5), b3, d, b4, Drift(l= 1.), stop_csr]\n", "\n", "\n", "# For sake of buity add randomly couple of the quadrupoles\n", "\n", "D1 = Drift(l=0.5)\n", "echo = (D1, QF, D1, modulator, D1, QD, chicane, QF, D1, modulator,D1, QD, chicane)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Chicane parameters\n", "For example, one wants to know R56 of the whole chicane. It can be easily calculated" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "R56 = -4.1443249349333655 mm\n" ] } ], "source": [ "lat_chic = MagneticLattice(chicane)\n", "# in that case energy is not important we do not have \n", "# energy dependant elements here\n", "R = lattice_transfer_map(lat_chic, energy=0)\n", "print(\"R56 = \", R[4,5]*1000, \"mm\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Backtracking though chicanes.\n", "We know twiss parameters on the entrance of the FODO\n", "but for backtracking we need to \n", "* invert alphas \n", "* and invert the lattice (change the order of the element)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# inverting alphas\n", "\n", "tws2 = Twiss()\n", "tws2.alpha_x = -tws_fodo.alpha_x\n", "tws2.alpha_y = -tws_fodo.alpha_y\n", "tws2.beta_x = tws_fodo.beta_x\n", "tws2.beta_y = tws_fodo.beta_y\n", "\n", "# invert the lattice\n", "echo_inv = echo[::-1]\n", "lat_echo_inv = MagneticLattice(echo_inv)\n", "\n", "# calculate twiss \n", "tws_echo = twiss(lat_echo_inv, tws0=tws2)\n", "tws_echo_inv_end = tws_echo[-1]\n", "\n", "# show the twiss parameters of INVERTED echo\n", "plot_opt_func(lat_echo_inv, tws_echo, legend=False)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "source": [ "So twiss parameters on the entrance of the echo lattice are: " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAApIAAAHnCAYAAAALj72JAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjEsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvc2/+5QAAAAlwSFlzAAAPYQAAD2EBqD+naQAAnwtJREFUeJzs3Xd8U+X+B/BP2rTpprRllVFGgTIKKLIEtEVAQJAlCooDnIheFBFREagioD+9goMriAheBEUBBwpewTIEGYJAi2woZY/uPZLz++Npmpw2bZM0ycn4vF+vvDhJTs755jkh/eaZKkmSJBARERERWchL6QCIiIiIyDUxkSQiIiIiqzCRJCIiIiKrMJEkIiIiIqswkSQiIiIiqzCRJCIiIiKrMJEkIiIiIquolQ6AqqbT6XD58mUEBwdDpVIpHQ4RERF5AEmSkJOTg8jISHh5VV/nyETSiV2+fBlNmzZVOgwiIiLyQBcuXECTJk2q3YeJpBMLDg4GIC5kSEiIwtF4nqNHj6JDhw5Kh+GRWPbKYLkrh2WvDJa7adnZ2WjatGl5HlIdt0gkc3NzMXPmTKxduxbp6emIiYnBjBkzMHbs2Bpfe/36dUyfPh0bN25Efn4+OnfujLlz5+Kuu+6qtO+WLVvwxhtv4PDhwwgICMDQoUPx7rvvon79+rL9SkpKMG/ePHzxxRe4cuUKWrRogcmTJ+P555+36H3pm7NDQkKYSCogKCiI5a4Qlr0yWO7KYdkrg+VePXO61bnFYJtRo0Zh5cqVmD17NjZt2oRu3bph3LhxWL16dbWvKyoqwl133YWtW7di0aJF+OGHH9CgQQMMGjQI27dvl+27fft2DB48GA0aNMAPP/yARYsWYcuWLbjrrrtQVFQk2/fZZ5/F/PnzMXnyZPz6668YOXIkpkyZgnnz5tn8vRMREREpRnJxP//8swRAWr16tezxAQMGSJGRkVJpaWmVr/3kk08kANLu3bvLHyspKZHat28vde/eXbZvt27dpPbt20slJSXlj+3atUsCIC1evLj8seTkZEmlUknz5s2Tvf7JJ5+U/P39pbS0NLPfW1ZWlgRAysrKMvs1ZDtHjhxROgSPxbJXBstdOSx7ZbDcTbMk/3D5pu0NGzYgKCgIY8aMkT0+YcIEPPjgg9i7dy9uv/32Kl/btm1b9OrVq/wxtVqN8ePH47XXXsOlS5fQuHFjXLp0Cfv378f8+fOhVhuK7Pbbb0ebNm2wYcMGTJo0CQDw/fffQ5IkTJgwoVI8n332GTZv3owHH3zQove4aMtJ+AUGWfQaewsP1OD+bk0RpHH5j5BZCku0+Gb/BVzPKVQ6FLPU8ffBmK5NUTfQV+lQHKJUq8Pavy7iUma+0qG4tOvXM1H/8nGlw/BILHtlsNxNK8zLNXtfl88CkpOT0a5dO1mCBwCdOnUqf76qRDI5ORl9+/at9Lj+tUePHkXjxo2RnJwse7zivrt27ZIds169emjYsGGV8VSlqKhI1kyenZ0NAPhs5zl4aQKqfJ1SUtPzMedez+ik/EniaXz0+2mlw7BI8qVsfDjuFqXDcIgv/zyPNzf+o3QY7uFottIReC6WvTJY7pXoisz/Ue7yiWRaWhpatmxZ6fGwsLDy56t7rX6/6l6r/7eqfY3PUdUxAwMD4evrW2088+fPR0JCQpXPO5sfDqZiVHOt285xmZ2djaSkJADA+v2XFY7Gcr8mX8HBQ97w8Xa962Nc9ub4ds9VO0ZDRERVcflEEqh+VFFNSY4lr61qX3P3q+m5V199FVOnTi2/rx9+//kjtyHQjCH4jrJo6ynsPZeOjEIdvMKj0LFxHaVDsoukpCTExsYi5WYeLuWkAgA6NamDGYNiFI6sest3pWDLsWso0krIC2yEvq3rKR2SxfRlb46MvGKcSBPXp0VEIN4e0dGeobm1s+fOoWWLFkqH4ZFY9haQJACSTQ51LuU8WjSPssmxXIcKqCE3ysvJwcCF5h3N5RPJ8PBwk7V86enpAEzXIlr62vDwcACmazfT09Nl5wgPD8ehQ4cq7ZeXl4fi4uJq49FoNNBoNJUe79Eq3KmmJzhzMw97z4ky2nbiutsmknrbTlwv3x7csRFuj45QMJqaZeSXYMuxawCAxOM3XDKRtMSOUzegK/ubMqB9A6e/Ps4suOAKYll+imDZV0+SJGi1WhQXF0OSbJNEAkCd4gA0jwy02fFchVqtNplv6GVnm9+/3uUTydjYWKxZswalpaWyfpL6ZrGOHauunYiNjTXZfFbxtfp/k5KSMGTIkEr7Gp8jNjYWX3/9Na5evSrrJ2lOPK4iro0hMUk8cQPP9WutYDT2l3jiRvl2fIzzJ2V920TA20sFrU7CthPXMWtYe6VDsqttRtcnrq3zXx8islxxcXH533lvb2+oVCqbdKvy8fGBv7+/DSJ0DZIkQafTobi4GACqTSbN5fLzSI4cORK5ublYt26d7PGVK1ciMjISPXr0qPa1x48fx969e8sfKy0txapVq9CjRw9ERkYCABo3bozu3btj1apV0Gq15fvu2bMHJ06cwKhRo8ofGz58OFQqFVauXCk714oVK+Dv749BgwbV6v06g6ZhAWhdX4wi/zs1Axl5xQpHZD8FxVr8eVbURDeq44e2DZyni0FVQvx8cFtUXQDA2Zt5SLmZp3BE9qPVSdh+UiSSQRo1bouqusafiFyTvjbS19cXGo2mPJn08vKq9U2lUtnkOK5y8/b2ho+PD3x9fVFaWmqT2l2XTyQHDx6MAQMGYNKkSfjss8+QmJiIp556Cps3b8a7774Lb29vAMDjjz8OtVqN8+fPl7924sSJ6NChA8aMGYPVq1djy5YtuP/++3HixAm88847svO88847OH78OMaMGYMtW7Zg9erVuP/++9GxY0fZVD8dOnTA448/jtmzZ+O9997D9u3b8frrr2Pp0qWYOXNmtU3briQ+Rqzmo5NE06K72n3mJopLdQCAuLb1XWZgkf76AECiUdO8uzl8MRPpZT9k+kRHwFft8l9pRFSBJEmQJAleXvz/bSv6smQiWWb9+vV4+OGHMWvWLAwaNAh79+7FmjVr8NBDD5Xvo9VqodVqZYWm0WiwdetWxMfH4/nnn8ewYcNw5coVbNq0CXfeeafsHHFxcfjll19w5coVDBs2DM8//zzi4+OxdevWSlXDixcvxowZM/DRRx9h4MCB+O6777Bo0SK89tpr9i0IBzJuQkw87r6JinESFu9CzabxbY0TSfdN9LcZffZcodsBEVnPVX7IuwJblqXL95EExFqZixYtwqJFi6rcZ8WKFVixYkWlxxs0aFCpGboqAwYMwIABA2rcz8fHB3PmzMGcOXPMOq4rui0qDEEaNXKLSrH95A1odRK8vdzrP7kkSUg8fhMA4OOtQm8X6gjfpkEQIuv44XJWIfacTUN+cSkCfN3iv7tMoqx/ZP1q9iQiIntwixpJcjxftRf6lCVWGfklOHwxU9mA7OBCdikuZRYAAHq0CEegC63io1KpEFfWvF1cqsOfZ6qev9RVXc8pRNKlLABA+0YhaBDip3BERESeh4kkWc24KXGbGzZv/3WpoHzbFUcDy5u33e/6bHex0fRERO6IiSRZLc7N++EduGxIJI0Hr7iK21uFw9db/BdPPH7DpnOvOQPjaX/i2axNRC7ul19+KZ/WSKVSQa1WIzw8HHfccQcWLVokW0LZmTCRJKs1CPFDh0gxUXrSpSxczylUOCLbySkswdHr4j9tVHgAWka43oS1gRo1erQUswRcyizA6eu5CkdkOyVaXflsAaEBPrilWV2FIyIiqp2DBw8CEAOI//zzT2zbtg1Lly5Fu3btMG3aNPTs2ROZmZnKBmkCE0mqFeOaoO1uVCu56/RNaMsq8OJdaNqfiuLctHn74PkM5BSWAgDuaF3P7QZ6EZHnOXjwIIKCgjBixAj07NkTffr0wejRo7FkyRIsW7YMhw4dwqxZs5QOsxImklQrsn6SbpRIJh53j9VS4mXTNLnR9WH/SCJyMwcOHECXLl1MVlw8+uijaNKkSfniK1euXEFQUBDGjh0r22/jxo3w8fHB66+/7pCYATeZ/oeU06VpXYQG+CAzvwQ7Tt1AiVYHH2/X/n0iSVJ57Z2fjxd6tgxXOCLrtYgIRFR4AM6n5WN/SjpyCksQ7OejdFi1pl//XKUSNZJE5JmGffQHbuRY33dQLLuYapNY6gVr8NPzfax6bVpaGlJTUzF8+PAq92nTpg0SExOh0+nQqFEjTJ8+HXPmzMHLL7+Mrl27Ytu2bRgzZgwmTZqEt99+29q3YTEmklQr3l4q3NG6Hn48fBk5haU4cD7DpRMvAPjnSjaul30x3d4qAn4+3gpHZD2VSoX4tvWxYncKSnUS/jh1E4NjGykdVq1czizA8as5AIDOTUIRHlT7tWKJyDXdyCnC1eza9s8vtUkstaHvH3nLLbdUuU9RURECAgLKV6WZNm0alixZgldeeQXz58/Hvffei3HjxlU7p7Y9MJGkWuvTOgI/Hr4MAEi6mOXyieSRi1nl231caBLyqvSJjsCK3SkAgMMXs1w+kTS+Pn1bu/71ISLr1Quu3Q9JUSNpm1SoNrEcOHAAANClS5cq9zl9+jTatm1bfj8gIABz587FxIkTER8fj3vuuQefffaZw/v0M5GkWmtdP6h8+1xanoKR2EbKTcN7aN0gqJo9XYPxezB+b64qxegzFl3f9a8PEVnP2qZkvVOnTqF169Y2isZ6Bw8ehI+PDzp06GDy+f379+PatWt46qmnZI+3adMGgGh9WrFiBby9Hd+C5tqd2cgptDCaGscdEpVzRu+hebjrTftTUeNQf6jLRjWnuFmi38IFp2UiIqro4MGD6NChA3x9fSs9J0kSZs6cCX9/fzz77LPljx86dAhDhw5F7969kZubi+XLlzsy5HJMJKnWQgN8ERogBnC4QyKpT7bUXkBkqL/C0dSe2tsLzcICAIj3ptO59sTkskSfiSQRubisrCycPXvWZP/IkpISTJo0Cf/73//wwQcfoGHDhgCAEydO4O6770avXr2QmJiI4cOHY86cOcjKyqp0DHtjIkk2oa+5u5xViMISrcLRWE+nk3A+LR8A0ChI7TbzE+oTrsISHa65+MTx+kQ/PNAXIW4wAp2IPNvBgwchSRKCg4OxZ88e7N69Gz///DMSEhLQpk0brFixAosXL8bTTz8NAEhJSUH//v3Rtm1brFu3Dj4+PliwYAEyMjIwb948h8fPRJJswriJUZ+IuaIr2YUoKtUBACJD3CdJMW6iP+fCtcb5xaW4li1G1LM2kojcgX7E9ocffohevXqhX79+eOKJJ7Bt2zY89thjOHfuHCZNmgRAzB/Zv39/1K9fHxs3boS/v2g1i4mJwcSJE7Fo0SKkpKQ4NH4OtiGbqJiotG0YrGA01jNumm8U7D7/PVpEBJRvp9zMx+2tFAymFlJuGn6kuEP/VSKil156CS+99JJZ+zZq1AinT582+dzSpUuxdOlSW4ZmFtZIkk00N05UXHhAh3FtXaQbJZLGtXeufH2MYzdOjomISBlMJMkm3GXkdooskWTTtrPhQBsiIufCRJJswviPuisnKsY1Xu5UIxkZ6g/fsqUr3SXRZ9M2EZHymEiSTYT4+SA8UMx/5cpNp/okWKP2QniA6y6NWJG3lwrNwkVT8Pn0fJedAsj4s8UaSSIi5TGRJJvR/2G/ll2EvCLl1y61VKlWh9R0MZijeXggvBy8zJS96Wvwikt1uJxVoHA01jlXNtimXrAGQRr3qTEmInJVTCTJZoybGl2xVvJyZiFKtKKmrrkbDuSoOHLb1eQUluBmrpj6pwWbtYk8jiS5ZkuKM7JlWTKRJJtx9UTlnJs3m8r6sbpgom88P6k7JvpEZJpKpYJKpYJOp1M6FLehL0uVDVre2DZENuPqU8zI1nAODwTg+KWm7Mm4Fs8VB9xwxDaRZ1KpVPD29kZxcTF0Oh28vb3Lk8vakiTJoxJU/fstLi6GWq1mIknOxdWnmKmUqOS5VyLp6iPrz1VK9InIU/j6+pYnk6WltuuDX1JSgoIC1+wzXhtqtRoajcY2x7LJUYhQoUbSBRMV+WTXgbjuem+hWg1D/ODn44XCEp1rXh/WSBJ5LJVKBbVaDbVaDUmSbNbHT6vVli8z6ClsVZurx0SSbCZIo0a9YA1u5BS5dNN2gK836gdrcF3heGzNy0uF5uGBOH41B6np+SjV6qD2dp1u0rI+rKyRJPJYtkyEVCoVvLxc53vQGbH0yKb0TY43c4uRU1iicDTmK9HqcCFDNG9EhQfa9NeaM9EnYKU6CZcyXas5R5/oNwzxg7+v+8zxSUTkyphIkk01d9GR2xczCqAtm6TbnddwdtV+kln5JcjIFz9MOGKbiMh5mN20ffDgQatO0L59e/j5+Vn1WnI9FaeYiW1SR8FozOcpS+/Jp2jKA9oqGIwFzlXov0pERM7B7ETytttus6q5b//+/bj11lstfh25ppYuOuBGNiLYjRMV+aTxrlNjnOIh14eIyNVYNNjm9ddfR6tWrczaV6vV4sknn7QqKHJdrjpyu+KIbXfVwkWbts95SI0xEZGrsSiRHDp0KLp3727WvlqtFk888YRVQZHrigpzzdVTPGWy63rBGgT6eiOvWOtSI+s9JdEnInI1Zg+22bBhA9q2Nb9Dlbe3NzZs2IDo6GirAiPX5O/rjUZ1RJ9YV6yRDNaoER7oq3A09qNSqRBVVqN3MaMAJVrXWNFB/1lSqYCmYRxsQ0TkLMxOJIcPH446dSwbODF8+HCEhIRYHBS5Nn3TY0Z+CbLynX8KoOJSHS6VTf3TPMJ9p/7R09foaXUSLqQ7fz9JSZLKa4wj6/jDz4dT/xAROQtO/0M2V3HktrNLTc9H2cw/bt2srSeboskFrk9GfgmyC8WSaGzWJiJyLm6RSObm5uKFF15AZGQk/Pz80KVLF3z99ddmv/769et47LHHEBERgYCAAPTq1Qtbt26V7ZOdnY23334bcXFxaNiwIYKCghAbG4t33nkHhYWFsn1TUlLKZ96veLMkLldVaYoZJycbERzu/s2m8jXRnb9GUt5/1f2vDxGRK7F6icTvv/8eX331Fc6fP18pkVKpVDh8+HCtgzPXqFGjsH//fixYsABt2rTB6tWrMW7cOOh0Ojz44IPVvraoqAh33XUXMjMzsWjRItSvXx+ffPIJBg0ahC1btuDOO+8EAKSmpmLhwoV4+OGHMXXqVAQFBWHnzp2YM2cOfvvtN/z222+VmkSff/75Sudv3bq1bd+8E5InKi6QSKZ5xkAbvRYuNrLeU+b4JCJyRVYlkv/3f/+HV155BfXq1UN0dDQCA5X7cv/ll1/w22+/lSePABAfH4/z58/j5ZdfxgMPPABv76r7VH3++edITk7G7t270atXr/LXd+7cGdOnT8fevXsBAC1atEBKSorsvfbr1w+BgYF4+eWXsWvXLvTp00d27GbNmqFnz562fstOT5aouEDTqaeM2NZr7mLXhyO2iYicl1WJ5OLFizFx4kQsWbKk2iTNETZs2ICgoCCMGTNG9viECRPw4IMPYu/evbj99turfX3btm3Lk0gAUKvVGD9+PF577TVcunQJjRs3rjJZ1k+HdOHCBRu8G/fQNCwAKhUgSS5S42WcqHhAjVd4oC+CNWrkFJW6RI2xpyX6RESuxKo+kmlpaXjwwQcVTyIBIDk5Ge3atYNaLc+JO3XqVP58Ta/X72vq9UePHq329b///jsAoEOHDpWeW7BgAXx9fREQEIA+ffrgxx9/rPZY7sLPxxuRdfwBiCRAkiSFI6qefk3wOv4+qOvGU//oqVSq8oTscmYBikq1CkdUPX2i76UCmtZlH0kiImdiVSLZu3dvHDt2zNaxWCUtLQ1hYWGVHtc/lpaWZrfXHzlyBO+++y5GjhwpS0Y1Gg2efPJJ/Oc//8Hvv/+OZcuWQavVYvjw4Vi2bFmVxysqKkJ2drbs5qr0TZDZhaXIcOIpgApLtLicZZj6x1Po36tOglNPASRJUnmi36RuAHzVbjE+kIjIbVjVtL1w4UKMHDkSTZs2xaBBg+Dra5tanG3btiE+Pt6sff/++2906dIFAKqd98+cOQGteX1KSgqGDh2Kpk2bVkoOGzVqhKVLl8oeGzNmDHr06IEZM2bgscceq1SDCgDz589HQkJCpcePHj2KoKCgGt+HMwlWGQZgbd17BDH1NApGU7XzmcXQV5jW9S5GUlJS+XPZ2dmy++4kQJtbvr3twD8oaOJcNX36ss8o0CK3SEz9E6HRue31cBbu/Jl3dix7ZbDcTcvNza15pzJWJZLR0dHo378/Ro4cCZVKhYAA+R8hlUqFrKwsi4/btm1bfPbZZ2bt26xZMwBAeHi4yVrD9PR0ADBZ22jMmtefP38e8fHxUKvV2Lp1a43nAAAfHx888MADmDFjBk6dOoV27dpV2ufVV1/F1KlTy+9nZ2ejadOm6NChg8tN7N418yw2nRK11l51GiI2tonCEZl2+ehVAFcBAF2iGyM2tk35c0lJSYiNjVUoMvvqUXIR3ySLmRWkwHqIjW2pcERy+rLfn5IO4BIAILZ5A8TGdlQ2MDfnzp95Z8eyVwbL3TRLWkStSiSnT5+Ojz/+GF26dEG7du1sViPZqFEji9fnjo2NxZo1a1BaWiqr5dP/wujYsfo/PLGxsSZ/jVT1+vPnzyMuLg6SJGHbtm1o0sT8BEnfV9DLy3TznEajgUbjnDV3lnKVkduyOSQ9sGkbcO5J4znQhojIuVmVSK5YsQKvvPIK5s+fb+t4LDZy5Eh89tlnWLduHR544IHyx1euXInIyEj06NGjxtc/++yz2Lt3b/m+paWlWLVqFXr06IHIyMjyfVNTUxEXFwetVott27YhKirK7DhLSkrwzTffICIiwiPWHzf+o3/WiUcGn/PQOQqNR6c788j6FCaSREROzapEUqvVYsCAAbaOxSqDBw/GgAEDMGnSJGRnZyM6Ohpr1qzB5s2bsWrVKtnI8scffxwrV67EmTNnypPAiRMn4pNPPsGYMWOwYMEC1K9fH4sXL8aJEyewZcuW8tdev34d8fHxuHLlCj7//HNcv34d169fL3++SZMm5bWTU6dORUlJCXr37o2GDRviwoUL+Oijj3Do0CF88cUXTjHa3d6a1g2Al0oM5nDmRMVTa7zqBvqijr8PsgpKnPr6eNrUTERErsaqRHLgwIHYs2cP+vXrZ+t4rLJ+/Xq8/vrrmDVrFtLT0xETE4M1a9Zg7Nixsv20Wi20Wq1sOhqNRoOtW7di+vTpeP7555Gfn48uXbpg06ZN5avaAMA///yDs2fPAgDGjx9fKYbZs2djzpw5AERz+JIlS7B69WpkZ2cjODgY3bt3x6+//oqBAwfaoQScj6/aC03qBiA1PR8pZVMAmTPwydH0iUpYWWLlSZpHBOLwhUxczipEYYkWfj7O9wNHv4Sj2kuFJnX9FY6GiIgqsiqRfOONN/DAAw8gMDAQ99xzT7XT5zhCUFAQFi1ahEWLFlW734oVK7BixYpKjzdo0AArV66s9rX6fpHmmDhxIiZOnGjWvu6seUQgUtPzkVesxY3cItQP9lM6JJn84lJcyy4CADT3gDW2K2oRHoDDFzIBAOfT8tG2YbCyAVUgSRLOlyX6TcMCoPbm1D9ERM7GqkSyc+fOAEQTrvEoY2NarXNPckz21yI8ADvKtlNu5jtdIqmfnxDwrGZtPdmAm5t5TpdIXs8pQn6x+B7xxESfiMgVWJVIzpo1yymbKcm5yNZ0vpmH7i0cV0ttDk/vf+fsI+s9tf8qEZErsSqR1PcFJKqOs08x4+mJSosI5x657alTMxERuRJ2OiK7cfYpZjw9UanYtO1sjH98eNLUTERErsTsRLJTp05ITk42+8A6nQ6dOnVymjW5yfGa1PWH2kt0gXDGRMW4OdcTayRD/HwQHigWE3DGpm1PT/SJiFyB2YlkcnIyCgoKzD6wJEkWv4bci9rbC03DxCCJ82n5Zo96dxT91DIRQRoEaazq5eHy9An0tewi5BeXKhyNnH4wlK+3FyJDOfUPEZEzsuiv54gRIyxawo8Dcqh5eADO3cxDQYkW17KL0LCOc4zczikswc1cMfVPiwjPHRHcPDwQB85nABCJW/tI51jTXSdJ5bWkTcP84e3F7xIiImdkdiL56KOPWnWCiIgIq15H7qF5RCBw4gYA0bztLInk+TSjqX88uP+dcRKdkpbnNIlkWr4WRaU6AGzWJiJyZmYnkl988YU94yA3VXGKmV6twhWMxsDTR2zrOeuAm8s5hmZ2T070iYicHUdtk101d9KR2xzIIRhfH6dKJLNLyrc9OdEnInJ2TCTJrlo4aY0Xp5YRKk4a7yyMayQ9OdEnInJ2TCTJriJD/eFbtkayM00xkyJr2vbcwTZBGjXqBYsBdM50fWRN20wkiYicFhNJsitvLxWahompW86n5UOnc44pgFLKBts0CNEgwNczp/7R008cfzO3GDmFJTXs7RiXc0QcGrUXGoU4xwAtIiKqjIkk2Z2+abKoVIcr2YUKRwNkFZQgPa8YgGc3a+sZ18jq525UklYn4WquqJGMCg+AF6f+ISJyWkwkye6cbU1n4xha1mMi6Wxrol/OLEDZzD/sH0lE5OSYSJLdOdsUMykcaCPjbGuic2omIiLXYfNEsl+/fhg/fjz++ecfWx+aXBQTFefmbCO3jRP9Fkz0iYicms0TyW3btmH16tXo1KkTHn74YVsfnlxQ8wqTkiuNc0jKyeaSdILrw0SfiMh12DyR1Ol0yMnJwY8//ohGjRrZ+vDkghqG+EGjFh81Z2jaPlc2YlulApqFee7UP3r+vt5oWDYy2ilqJJnoExG5DLv0kQwMDMSQIUPw7rvv2uPw5GK8vFTltV4X0gugVXgKIH2iElnHH34+3orG4iz0I7cz8kuQla/sFED6qZkCfL1Rv2yOSyIick5WJZJvvPGGreMgN6dPVIq1OlzOLFAsjoy8YmQVlMhiogorECnYvF2q1eFCukgko8IDoVJx6h8iImdmVSL5zjvv4MUXX6zy+dTUVKsDIvdk3NftrILNp8bn5ohtA2dZE/1iRgFKy2qsWzDRJyJyelYlkuvXr8eSJUvw5JNPQpIMzZQ5OTmYMWMGYmJibBYguQdnGbnN/nemOcsUTVwDnYjItVi1NtzQoUPxyy+/YPjw4cjLy8MXX3yB5cuXY86cOUhPT8fEiRNtHSe5OGdJVDiHpGktnGRkfQpHbBMRuRSrFxmOi4vD1q1bER8fj/r16yM3Nxf33nsvFixYgLZt29oyRnIDzpKocGoZ05qFBUClAiSJNcZERGQ+qxPJv//+G6+99hry8sQXf58+ffDdd9/B25ujYKmy+sEaBPh6I79Yq2yiUpbEenHqHxk/H29E1vHHpcwCnLuZB0mSFBnoop+aCWCNMRGRK7Cqj+SDDz6Ibt264Z9//sHy5cuxc+dOJCcnY8SIESgqKrJ1jOQGVCoVovRTAGUUoESrc3gMkiQh5aZIVBrX9YevmiuEGtPXAGYXliJDoSmA9D8y/NUqRAT5KhIDERGZz6q/pD/99BNmz56NU6dO4bHHHkPv3r3x+++/Y//+/Rg0aBByc3NtHSe5Af0oXK1OwsUMx08BdDO3GLlFpQBY22WK8XRISvRjLS7V4WKGSPQjQ9Sc+oeIyAVYlUieOnUKb7zxBvz9/csf69KlC7Zv347Tp0+jX79+NguQ3IfSU8zI1nBm/7tKlL4+FzLyoZ+rPjLYx+HnJyIiy1mVSDZs2NDk423btsXOnTuRkZFRq6DIPSk9cvsc55CsltIDooyT18hgq7tvExGRA1mUSGZnZ+OFF15A06ZNoVarERISgm7duiEhIQHXr18HADRv3hw7d+60S7Dk2pwpUWGNZGXOlOgzkSQicg1mJ5LFxcWIj4/Hhx9+CJVKhbi4OHTu3BkXL15EQkICWrZsiWXLlgGousaSPJtxLaASiYpsDkkmkpU0rRsAr7JuiYok+mnGiSSbtomIXIHZieSnn36KpKQkrFixAqmpqdiyZQt27tyJK1euYO/evejduzeefvppLF261J7xkguLCPJFkEbUNCmRqJwrG7Ht7aVCk7r+NezteXzVXmhSVwy4SbmZL1u1yhH0I+oBoBFrJImIXILZieS6devw+OOP45FHHqn0XLdu3fDrr7/iySefxAsvvIBr167ZNEhyDyqVqnxk8KWMAhSXOm4KIEmScL4seW1a1x8+3pz6xxR9TW1uUSlu5hY79Nz6WuoQPzVCNLw+RESuwOxv66NHj2LgwIHV7vPxxx+jYcOG+Oyzz2odGLknffO2TgJS0/Nr2Nt2rucUIb9YK2Jgs3aVWoQbpgByZK1xYYkWl7PElFAtIgI59Q8RkYswO5HMyspCgwYNqt1HrVbjscceQ2JiYq0DI/ckG3DjwH6SHLFtHqUG3FxIz4e+JZ2JPhGR6zA7kdRqtVCra+63dNttt+H48eO1CspSubm5eOGFFxAZGQk/Pz906dIFX3/9tdmvv379Oh577DFEREQgICAAvXr1wtatWyvtFxcXB5VKVek2aNCgSvuWlJQgISEBzZs3h0ajQUxMDD766KNavU93IJur0IE1XhyxbZ7mTPSJiMgCFvVov3r1ao371K1b1+HzSI4aNQr79+/HggUL0KZNG6xevRrjxo2DTqfDgw8+WO1ri4qKcNdddyEzMxOLFi1C/fr18cknn2DQoEHYsmUL7rzzTtn+LVu2xFdffSV7LDQ0tNJxn332Wfz3v//FW2+9Vd6HdMqUKcjJycFrr71W6/fsqpSq8TrHEdtmaaFUol9psngutUpE5AosSiRHjhyJoKAgdOnSBbfccgtuueUWdOnSBR06dCivrfTy8nLoetu//PILfvvtt/LkEQDi4+Nx/vx5vPzyy3jggQfg7e1d5es///xzJCcnY/fu3ejVq1f56zt37ozp06dj7969sv39/f3Rs2fPamM6evQoPv/8c7z99tt4+eWXAYjazLS0NMydOxfPPPMMwsLCavO2XZZSc0nKaiRZ41WlJnX9ofZSoVQnlY9ydwTjczWPCAQy0x12biIisp7ZTds///wz3nzzTfTv3x/nz5/Hhx9+iAkTJuDWW29FUFAQunbtiieeeMKiJmVb2LBhA4KCgjBmzBjZ4xMmTMDly5crJYKmXt+2bdvyJBIQfT3Hjx+Pffv24dKlSxbH9P3330OSJEyYMKFSTAUFBdi8ebPFx3QXdQN8EOJXNgWQAxMV/bl8vFWIDPVz2HldjdrbC03DxICb82l5DpsCiIk+EZFrMrtGcvDgwRg8eHD5/fT0dBw8eBAHDhzAwYMHcfDgQXzxxReQJMmhIy6Tk5PRrl27Sv03O3XqVP787bffXu3r+/btW+lx/euPHj2Kxo0blz9+5swZhIWFITs7G1FRURg7dixmzpwpW3c8OTkZ9erVqzQxu3FMphQVFclqc7Ozs6uM21WpVCq0iAjE4YtZuJxVgMISLfx8qq4xtgWdTiqv/WwaFgA1p/6pVvPwAJy7mYf8Yi2u5xShQYj9E2/99akb4IM6AZyMnIjIVVg9629YWBj69++P/v37lz+WnZ2NAwcO4O+//7ZJcOZIS0tDy5YtTcanf76m15tqZjb1+j59+uCBBx5ATEwMCgoKsGnTJrz77rv4448/kJiYCC8vr2qPGRgYCF9f3ypjmj9/PhISEio9fvToUQQFBVX7PlxJqLoEACBJwJY9hxAV6mvX893IK0VR2ZyV4b5aJCUlmfW67Oxss/d1J8EoLN/eui8JsQ3sm0gWlupwJUucs36ACklJSR5b9kpjuSuHZa8Mlrtpubm5Zu9r0+UjQkJCEB8fj/j4eKtev23bNrNf+/fff6NLly4AUG0NqDm1o+a+fu7cubLnhgwZgubNm2PatGn44YcfMHLkSIuPaezVV1/F1KlTy+9nZ2ejadOm6NChA0JCQmp8H66iy9WT2J5yCgDgE9YYsR3su6Tm7tM3AVwGAHRq0Qixse3Nel1SUhJiY2PtGJlzui03BT+eOAoAUIU0QGxsM7ue79iVbAAXAQAdmtZDbGysx5a90ljuymHZK4PlbpolLaJOtQ5Z27ZtzZ7MvFkz8cctPDzcZA1ferrorF/ToJbavn78+PGYNm0a9uzZU55IhoeH49ChQ5X2zcvLQ3FxcZXH1Gg00Gg01Z7PHTh6LkmO2LaMbIomB1wf43Pw+hARuRanSiQbNWqEJ554wqLXxMbGYs2aNSgtLZX1k9RXVXfs2LHG15uq1jb39Xr6Zm39Mb/++mtcvXpV1k/S0mO6q+YOHrnNgRyWaeHgKZqY6BMRuS6XH3UwcuRI5ObmYt26dbLHV65cicjISPTo0aPG1x8/flw2uru0tBSrVq1Cjx49EBkZWe3rV65cCQCyKYGGDx8OlUpV/pzeihUr4O/vb3ICc09inMydveGAREVW4xVQzZ4EAJGh/vAtG5DERJ+IiKrjVDWS1hg8eDAGDBiASZMmITs7G9HR0VizZg02b96MVatWyeaQfPzxx7Fy5UqcOXMGUVFRAICJEyfik08+wZgxY7BgwQLUr18fixcvxokTJ7Bly5by1+7cuRNvv/02Ro4ciZYtW6KwsBCbNm3C0qVL0a9fPwwbNqx83w4dOuDxxx/H7Nmz4e3tjW7duuF///sfli5dirlz53rsHJJ6dQJ8UDfABxn5JQ5JVPSJpK/aC5F1/GvYm7y9VGga5o8zN/JwPi0fOp0ELy/7zcSQIptDkok+EZErcflEEgDWr1+P119/HbNmzUJ6ejpiYmKwZs0ajB07VrafVquFVquVzY2n0WiwdetWTJ8+Hc8//zzy8/PRpUsXbNq0SbaqTaNGjeDt7Y233noLN2/ehEqlQuvWrfHmm2/ipZdekjVtA8DixYvRuHFjfPTRR7h69SqaN2+ORYsW4fnnn7dvYbiIFhGByEjNxLXsIuQXlyLA1z4fRa1OwoX0AgBiWht7JkTupEVEIM7cyENRqQ5XsgvRONR+Cbi+aTsiSINgP079Q0TkStwikQwKCsKiRYuwaNGiavdbsWIFVqxYUenxBg0aVGqGrig6Oho///yz2TH5+Phgzpw5mDNnjtmv8STNIwJxMDUTgKiRah9pn1HplzMLUKwVU/9wDWfzVRxwY69EMreoFDdyxNypLVgbSUTkcly+jyS5Jket6WzcP7IFB3KYzVFrostGbDPRJyJyOUwkSREOS1Q4ItgqLR00RROvDxGRa2MiSYpw1FyS51jjZRVHTdGUwhpjIiKXxkSSFMFExbk1DPGDRi2+HuxZY3zOeMQ2E30iIpfDRJIUEaRRIyJIrOJjnEzYWkqaOLa/jzcahLj/qkG24uWlKk/sLqQXQKuTaniFdeRN2xxsQ0TkaphIkmL0o3Rv5hYhp7DE5scv1epwIV0kklHhAWatu04G+sSuWKvD5cwCu5xDX2PcIERjtymgiIjIfphIkmKMmzLPp9m+VvJiRgFKy2rS2KxtOXsPiMouLEFaXrE4F5u1iYhcEhNJUoy9ExWu4Vw79p6iif1XiYhcHxNJUoy9R25zDefasXuif5OJPhGRq2MiSYppVS+ofPvwxSybH/+I0TFb1mOiYinjMjti7+vDRJKIyCUxkSTFtK4fhIggXwDA7jM3UVSqtdmxdToJ20/eAAAE+nqjU5NQmx3bU9QP9kN0fZHs/52agcz8Ypsef9uJ6wAALxXQo0W4TY9NRESOwUSSFOPlpcKdbeoDAPKLtdh/LsNmxz5yKQvpZQM5+rSOgK+aH3VrxLetBwDQScCOUzdtdtzUtHycuSGatrtG1UWdAB+bHZuIiByHf11JUXFliQoAJJbVUNlC4nHDseLa1rfZcT1NvFHZbTtuu+uz7SSvDxGRO2AiSYq6o3U9eJVN72jLRHLbCeNEpV41e1J1bmsehkBfbwDA9pM3oLPRxOTyRJ/Xh4jIVTGRJEXVCfBB16i6AICzN/KQaoP5JG/mFuHIJTGQI6ZhMBrV8a/1MT2Vr9oLvaMjAABpecVIulT7QTeFJVr8eTYNAFA/WIP2jUJqfUwiIlIGE0lSnHHTpnGTp7V2nLwBqaziLD6Gzaa1ZVyGtqg13nM2DYUlOnHstvW54hARkQtjIkmKk/WTtEE/vMQTNwzHbsNm09qS92O9Uc2e5tlmdIz4GF4fIiJXxkSSFNe+UQjqB2sAALvPpKGwxPppgEq1Ouwom/Yn2E+NW8uazcl6jer4I6ZhMADgyMVMpOUW1ep4+lpNtZeqvNmciIhcExNJUpxKpSofHVxUqsOesv5z1jh8MRNZBSUAxEAeH29+xG1B3/1AkoAdp6yvlTx3M698XfXbmtdFsB+n/SEicmX8K0tOwbj5dFstmk8TjxteeydHA9tMvKz7QW2uj6HrQjyn/SEicnlMJMkp9G4dAXXZPEC/H78OSbJumhnjwSDsH2k7t0bVRbCfGoCYBkhr5TRAxteHA6GIiFwfE0lyCiF+PrituejPmJqej3M38yw+xvXsQhy9nA0A6Ng4BPVD/Gwaoyfz8fbCHa1FYp5VUIJDFyxfhSi/uBR7z6YDABqH+qN1/aAaXkFERM6OiSQ5DdkqKlY0b287aTQamM2mNndnLbsf/HkmDcVaXfmxOO0PEZHrYyJJTsN4Pklr5ivkajb2ZdxVwJrrI2vWZqJPROQW1EoHQKTXpkEQIuv44XJWIfaeTcf07w5b9PrtZbVkoQE+6NKU0/7YWv0QP3RsHILkS9lIvpSNad8eLl/e0hxbjolE0tfbC7e3CrdTlERE5EhMJMlpqFQqxMXUx+q9qSjW6rD2r4tWHeeO1vXgbUmGQ2aLb1sfyZdEP9TvDlh3fXq0DEOghl89RETugE3b5FQe6tEMGrX1H0sfbxUe7hVlw4jI2JiuTctHb1vDSwU82qu57QIiIiJFsVqAnEqHyDr4a2Z/XM0qtOr19UP8UMefk1zbS7PwAOx7rT8uZuRb9fqIIA3qBvraOCoiIlIKE0lyOsF+PlzxxIn5+3qjdYNgpcMgIiInwKZtIiIiIrIKE0kiIiIisgqbtp2YVqsFAFy8eBEhISEKR+N5rl27hrp1OY2QElj2ymC5K4dlrwyWu2nZ2WJ2Dn0eUh0mkk7sn3/+AQB06NBB4UiIiIjI05w+fRrdunWrdh8mkk6sSZMmAIALFy6wRlIBR48eZRKvEJa9MljuymHZK4Plblp2djaaNm2K6OjoGvdlIunEvL29AQAhISFMJBUQFBTEclcIy14ZLHflsOyVwXKvnj4PqQ4H2xARERGRVZhIEhEREZFVmEg6MY1Go3QIRERERFViIunEmEgSERGRM2MiSURERERW4ahtNyJJEiRJUjoMl6BSqaBSqZQOg4iIyKUxkXQTRUVFKC0trd1BTpwA3noLaN4cmDUL8PW1SWzOSq1Ws/sAERFRLTCRdAP6JNLX1xdeXl7W1bRJErBoEXD1qrjt2gUMGWL7YJ2AJEnQ6XQoLi4GwL6oRERE1mIfSQA5OTmYPn06Bg4ciHr16kGlUmHOnDkm9z148CD69++PoKAghIaGYtSoUTh79qzJfT/66CPExMRAo9GgRYsWSEhIQElJiU1jlySpPIn08fGBt7c3vLy8LL/t3g2v5GR4FReL23ffWXccF7h5e3vDx8cHvr6+KC0tZXcAIiIiKzGRBJCWloalS5eiqKgII0aMqHK/48ePIy4uDsXFxVi7di2WL1+OkydPom/fvrhx44Zs37fffhtTpkzBqFGj8Ouvv+LZZ5/FvHnzMHnyZJvGrk+CvLxqcSklCVi2TP5YUpJo6nZj+jJjIklERGQdNm0DiIqKQkZGBlQqFW7evIllFZOqMrNmzYJGo8HGjRvLl1Tq2rUrWrdujffeew/vvPMOAJGYzp07F08++STmzZsHAIiLi0NJSQlmzpyJF154Ae3bt7fpe6jVwJG9e4HkZLGtVgP6vpbr1wOvvlr74JwUB9sQERHVDmskYd4I3tLSUmzcuBGjR4+WrcsZFRWF+Ph4bNiwofyxzZs3o7CwEBMmTJAdY8KECZAkCd9//71N46+1L74wbM+YAfj7i+1ffgHy8pSJiYiIiJweE0kznTlzBgUFBejUqVOl5zp16oTTp0+jsLAQAJBcVrsXGxsr269Ro0aIiIgof76ioqIiZGdny252V1IC/P232G7SBLj3XmDwYHE/Px/YvNn+MRAREZFLYtO2mdLS0gAAYWFhlZ4LCwuDJEnIyMhAo0aNkJaWBo1Gg8DAQJP76o9V0fz585GQkFDp8aNHjyIoKMjkayRJKh88Yk1Tre/Fi4jSagEAOVFRuHr2LDTdu6PZ+vUAgMLVq3HBRPLsDiRJQklJCbRarcmyy87ORlJSkgKREcteGSx35bDslcFyNy03N9fsfZlIWqi6ZM34OXP3M/bqq69i6tSp5fezs7PRtGlTdOjQQdacbkyn06GgoAD+/v7WDbhJTS3fDI6NRXDr1kDr1sCqVUByMvxSUtC6sBCoULvqDmoqu6SkpEq1yuQYLHtlsNyVw7JXBsvdNEtaRNm0babw8HAAMFmbmJ6eDpVKhdDQ0PJ9CwsLkZ+fb3JfU7WagJjPMCQkRHazu3PnDNvNmxu2R482bK9bZ/84apCfn4+EhATExMTAz88P4eHhGDduHDIyMpQOjYiIyGMxkTRTq1at4O/vb7IKPCkpCdHR0fDz8wNg6BtZcd+rV6/i5s2b6Nixo/0DNldKimG7RQvD9oABgL45/X//AxzRX7MKkiRh3LhxWLhwIZ5++mls2rQJs2bNwjfffIP3339fsbiIiIg8HRNJM6nVagwbNgzr169HTk5O+eOpqalITEzEqFGjyh8bNGgQ/Pz8sGLFCtkxVqxYAZVKVe1clQ6nr5H08gKaNTM87u8PDB0qtouKgJ9/dnxsZbZv344ff/wRn332GV588UXEx8djypQpqF+/PvI4qpyIiEgx7CNZZtOmTcjLyytPEv/55x989913AIAhQ4YgICAACQkJ6NatG4YOHYoZM2agsLAQs2bNQkREBF566aXyY4WFhWHmzJl44403EBYWhoEDB2L//v2YM2cOnnjiCZvPIWk1nc5QI9m4ceW1tUePBr7+Wmx/9x0wdiygwNyL3377LerWrYuRI0eWP7Zjxw5cu3YN/fr1c3g8REREJDCRLDNp0iScP3++/P63336Lb7/9FgBw7tw5NG/eHDExMdi2bRteeeUV3HfffVCr1ejXrx/ee+891KtXT3a8119/HcHBwfjkk0/w3nvvoWHDhpgxYwZef/11h7yf224TS2ZXSycBN8XobJzUAE0q7tASyNgClBQDSQAalgA+vhV3MkvDhsBff1n1UuzevRs9evQAAFy+fBm//vorpk+fjrvuugtD9bWmRERE5HBMJMukGPcVrEbXrl2xZcsWs/b917/+hX/961+1iMp6V68Cly7VtJc3gAZiswSAydH+dQ2b120RmWUKCwuRnJyM4cOHY968eZg1axYAoFmzZuVdBYiIiEgZTCTdVMOGZuyUnw/klvX3DAkB/PxN7CQBN2+KZnCogIgI0Z/SHvGYcPDgQZSWlqJ79+6IiYlBjx49sGfPHixcuBB33HEHjhw5UuUcm0RERGRfTCTdlFnNyPMWGqb2WbGiirkiVcCHa4CVK8Xd558HHnvMJjGaY9++fQCA7t27IyIiAi1btsTAgQPRpk0bjBs3Dnv27EH//v0xefJkFBYW4vPPP4dOp8PIkSMRFRWFDz/80GGxEhEReRqO2vZkVc0hWZHRIBesX19WO+kY+/btQ8uWLREREWHy+cjISABiMve1a9ciNTUVM2bMgFarxQcffOCwOImIiDwRayQ9mT6RjIgAgoOr3q9pU6BnT2DPHtHxcu9eoFcvh4S4b98+NGrUSPaYJElYtmwZOnbsWD4CvkmTJnjkkUdw7733AgD++OMPeHt7OyRGIiIiT8VE0lNlZgL6VWGqq43Uu+8+kUgCYiogBySS6enpOHPmDM6cOYMnnngC48aNQ35+PpYvX44//vgDiYmJsv27dOmCxYsXY/fu3ew3SURE5ABs2vZUxqPUzUkk+/QB9FMc7dwJXLtmj6hk9P0jH3nkEWzevBmDBw/Gc889B7Vajb1796KXUTK7b98+JCQkYMyYMVip789JREREdsUaSU9V1dKIVfHxAUaMAD77DNBqgR9+AJ56yl7RARDJoY+PD5YsWVK+/KQpqampuO+++7Bq1Sq0bdsWbdu2xauvvoqoqCi7xkdEROTpWCPpqcwdaGNsxAjD1D8bNgClpbaOSmbfvn2IjY2tNonMycnB0KFDMXv2bMTFxaFRo0YYP3485s6da9fYiIiIiDWSnsvSGklATAbZty+wfTtw/Trwxx9AXJw9ogMA7N+/X7aGuSnBwcE4cuSI7LHFixfbLSYiIiIyYCLpqfSJZEAAUL+++a8bPVokkgDw7bd2TSSvOaAfJhEREVmPTdueqLDQsH5i8+aAJcsM9uwJNClblHvPHnkTOREREXkUJpKeKDUVkCSxbW6ztp63t5gKSG/tWtvFRURERC6FiaQnsqZ/pLHhwwH9AJiNG4HcXJuERURERK6FiaQnsmbEtrGQEGDIELGdnw/89JNNwiIiIiLXwkTSE9U2kQSABx4wbK9d69D1t4mIiMg5MJH0RPqmbbXaMHDGUtHRwG23ie3UVMPyiUREROQxmEh6Gq0WOH9ebDdpIlassdbYsYbtr7+uXVxERETkcphIeporV4DiYrFtzUAbY337iknKAWDXLlEzSURERB6DiaSnMe4fWdtEUq0Gxowx3OdUQERERB6FiaSnMZ76x9qBNsZGjAA0GrH9009iFDcRERF5BCaSnsaWNZIAEBoKDB4stnNzxbySRERE5BGYSHqaM2fEvyqVbWokAflUQGvW2GUqoPz8fCQkJCAmJgZ+fn4IDw/HuHHjkJGRYfNzERERkXmYSHoSrRY4fVpsN2kCBATY5rht2gDduont1FTgjz9sc9wykiRh3LhxWLhwIZ5++mls2rQJs2bNwjfffIP333/fpuciIiIi8zGR9CQXLwKFhWK7dWvbHvuhhwzbX31l00Nv374dP/74Iz777DO8+OKLiI+Px5QpU1C/fn3k5eXZ9FxERERkPiaSnuTUKcO2rRPJ3r2BqCix/ddfwIkTNjv0t99+i7p162LkyJHlj+3YsQPXrl1Dv379bHYeIiIisgwTSU9iz0TSywsYN85wf/Vqmx169+7d6NGjBwDg8uXL+OKLLzB69GjcddddGDp0qM3OQ0RERJZhImmhv//+GyNGjEBkZCQCAgIQExODN998E/kVpr05ePAg+vfvj6CgIISGhmLUqFE4e/asQlGXsWciCQBDhwIhIWJ782bgxo1aH7KwsBDJycno0aMH5s2bh8aNG2PixIkICAjAihUroFKpan0OIiIiso5a6QBcyT///IPbb78dbdu2xcKFCxEREYEdO3bgzTffxIEDB/DDDz8AAI4fP464uDh06dIFa9euRWFhIWbNmoW+ffvi0KFDqFevnv2Dve024OpV+WNpaWLAjUoF9Oxpn/Pm5hrmkmzTBggMFNsNG4ombwsdPHgQpaWl6N69O2JiYtCjRw/s2bMHCxcuxB133IEjR44gKCjIhm+AiIiIzMVE0gKrV69GYWEh1q1bh1atWgEA+vXrhytXrmDp0qXIyMhA3bp1MWvWLGg0GmzcuBEhZTV0Xbt2RevWrfHee+/hnXfesX+wV68Cly5V/Xx1z9lKZqa41cK+ffsAAN27d0dERARatmyJgQMHok2bNhg3bhz27NmD2267DeHh4cjMzERwcDAA4LvvvsPChQvxh41HkBMREZEBE0kL+Pj4AADq1Kkjezw0NBReXl7w9fVFaWkpNm7ciEceeaQ8iQSAqKgoxMfHY8OGDY5JJPVrYOuVlAD6ORf9/YGyhMsusrMNo8ODg8X5KsZjpn379qFly5aIiIgw+XxkZCRCQ0PRsmVLHD58GH369IFWq8WsWbPwn//8x9p3QERERGZgImmBRx99FAsXLsSkSZPwzjvvoF69eti+fTuWLFmCyZMnIzAwECdOnEBBQQE6depU6fWdOnXCb7/9hsLCQvj5+dk32IrNyN9+CyxYILZnzJCvkW1rR48Cjzwitlu2FGtwW9mXcd++fWjUqJHsMUmSsGzZMnTs2BHt27cHIGp8Dx06hD59+uDLL79E06ZNceedd9bqbRAREVH1mEhaoHnz5vjzzz8xcuTI8qZtAPjXv/6FhQsXAgDS0tIAAGFhYZVeHxYWBkmSkJGRUSk5AoCioiIUFRWV38/OzrZd8CdPGrbbtLHdcU3p0AHo0gU4dAg4exbYswfo1cviw6Snp+PMmTM4c+YMnnjiCYwbNw75+flYvnw5/vjjDyQmJpbvq08ki4qKkJCQgO+++85274eIiIhMYiJpgZSUFAwbNgwNGjTAd999h3r16mHv3r2YO3cucnNz8fnnn5fvW91o4qqemz9/PhISEio9fvTo0SoHlEiSBG9vb/j4+FR7ziZJSfAv2z6jUkFnPILbDoL69UOjQ4cAAHmffYbLVTRNV2fHjh0AgBEjRmDjxo348ssvUa9ePXTq1Alr165FREQETpW9jwYNGuDLL7/EW2+9hbZt26JOnTrlz1VFkiSUlJRAq9WaLLvs7GwkJSVZHDfVHsteGSx35bDslcFyNy03N9fsfZlIWmDGjBnIzs7GoUOHEFg2GvmOO+5AREQEJk6ciEceeQQNy/oC6msmjaWnp0OlUiE0NNTk8V999VVMnTq1/H52djaaNm2KDh06yPpbGtPpdCgoKIC/vz+8vKqYzUmnE6vaAEDjxmhlotnd5lq2BL75Brh0CYGHD6O1t7d4zAJr1qyBj48P1qxZU2NXgHr16uGZZ57B559/jq1bt6K1GdMb1VR2SUlJiI2NtShmsg2WvTJY7sph2SuD5W6aJS2inEfSAocOHUL79u3Lk0i9bmXrTCcnJ6NVq1bw9/c3+QsnKSkJ0dHRVSZFGo0GISEhsptNXLoEFBSIbXvMH2mKtzcwdqzhvhUTlO/btw+xsbFm9ScNDQ1F48aNMWDAgPJ+k0RERGRfTCQtEBkZiaNHj1aq8v3zzz8BAE2aNIFarcawYcOwfv165OTklO+TmpqKxMREjBo1yqExA7D/RORVufdewzySP/9sGDVupv3796N79+5m7Zubm4vc3FyTXQOIiIjIPphIWuCFF17AzZs3MWDAAKxduxa///475s2bh6lTp6J9+/YYPHgwACAhIQH5+fkYOnQoNm3ahA0bNuCee+5BREQEXnrpJccHrlQiGRQEjBghtouLAQsHwFy7ds3sKXzeeOMNjB07Fi1atLAwSCIiIrIWE0kL3Hvvvdi6dStCQkIwZcoUDB06FCtXrsTTTz+NHTt2wNfXFwAQExODbdu2wcfHB/fddx8ee+wxREdHY8eOHY5Z1aYiR47YrmjsWLEONyCmICoutunhDx06hDp16uDo0aOYO3euTY9NRERE1eNgGwvFx8cjPj6+xv26du2KLVu2OCAiM5w+Lf718wMaN3bsuSMjgfh4YOtWsUTjr78Cw4bZ7PBdunRBVlaWzY5HRERE5mONpLvLyzOM2I6ONtQOOtKDDxq2V68GJMnxMRAREZHNMZF0d/raSMDxzdp6nTuLScoB0cxecdUdIiIicklMJN2dUgNtjKlUwEMPGe5bMRUQEREROR8mku7OGRJJAOjXD2jQQGzv3AmkpioXCxEREdkEE0l3Z5xIRkcrF4ePD/DAA2JbkoA1a5SLhYiIiGyCiaQ70+kMfSQbNQKCg5WNZ+RIMXIcAH78EbBgCSYiIiJyPkwk3YRkaiT05cti1Dag3EAbYyEhYrUbACgsBDZsUDQck2VGREREZmMi6eJUKhUAQKfTVX7SWfpHGhs3Tgy+AYCvvwZKShQLRV9m+jIkIiIiy3BCchenUqmgVqtRXLZijJeXlyExOnMGKFttB9HRoqlbaU2aAHFxwK5dQGammKh84ECHhiBJEnQ6HYqLi6FWq5lIEhERWYmJpBvQaDQAUJ5Mljt9GlCXXeJmzYCCAgdHVoVRo4C9e8X2d98BffsqEoZarS4vOyIiIrIcE0k3odFo4OvrK+/399NPolbS3x9o2RLw9lYuQGM9egBFRcCRI8D+/cCECUCvXg4NQaVSsSaSiIiolphIuhFZcpSbCxw7Jqba6dRJTL/jTCZPBh57TGx/8AHQu7ei4RAREZHlONjGXSUnG9a07txZ2VhMGTsWaNhQbG/YAJw7p2w8REREZDEmku7qyBHDdqdOysVRFY1G1EoCYhDQokXKxkNEREQWYyLprpw9kQSAZ54R/TcBYNkyID1d2XiIiIjIIkwk3dXhw4ZtZ00kIyKAiRPFdl4esHixsvEQERGRRZhIuiNJMtRINm0K1K2rbDzVmToV8Cr7GH74ofNMUUREREQ1cqpR2wcPHrTqde3bt4effg1nAlJTDetYO2ttpF7LlsD994tVbm7cAFasACZNUjoqIiIiMoNTJZK33XabVXP77d+/H7feeqsdInJRxs3azjhiu6Lp00UiCQDvvQc89ZTzzHlJREREVXKqRBIAXn/9dbRq1cqsfbVaLZ588kk7R+SCXGGgjbFbbgEGDAB++w04exZYvx4YM0bpqIiIiKgGTpdIDh06FN27dzdrX61WiyeeeMLOEbkg40TSFWokAVEr+dtvYvudd4D77gO48gwREZFTc6rBNhs2bEDbtm3N3t/b2xsbNmxAdHS0HaNyQfqmbT8/wFXK5q67AH33hAMHgMREZeMhIiKiGjlVIjl8+HDUqVPH4teEhITYKSIXlJ8PnDoltjt0ANROV+lsmkolaiX13nlHuViIiIjILE6VSJINOPvSiNUZPVqM4gaA//0PsHIUPxERETmGU1dXff/99/jqq69w/vx5FBYWyp5TqVQ4bDw6mQRXG2hjTK0Gpk0Dnn1W3H/zTeD77xUNiYiIiKrmtDWS//d//4dRo0Zhx44d8PHxQXh4uOwWFhamdIjOyZUTSQCYMAFo3Fhs//ADayWJiIicmNPWSC5evBgTJ07EkiVL4M05Bc3nCksjVsfPD3jtNWDyZHF/zhzgxx8VDYmIiIhMc9oaybS0NDz44INOmUT+8ccfGDJkCOrWrQt/f3+0bt0ab731lmyfgwcPon///ggKCkJoaChGjRqFs2fP2jcw46URGzcGwsPtez57efxxoEkTsf3TT8BffykbDxEREZnktIlk7969cezYMaXDqGT16tW48847UadOHXz55Zf45Zdf8Morr0DSD3ABcPz4ccTFxaG4uBhr167F8uXLcfLkSfTt2xc3btywX3AXLwKZmWLbFWsj9TQaUSupN2eOYqEQERFR1Zy2aXvhwoUYOXIkmjZtikGDBsHX11fpkHDp0iU89dRTePrpp7F48eLyx+Pj42X7zZo1CxqNBhs3biyfmqhr165o3bo13nvvPbxjr6ltXG1pxOpMnAjMnw9cuAD8/DOwbx9g5kT1RERE5BhOWyMZHR2N/v37Y+TIkQgICEBISIjsZul8k7awbNky5OXl4ZVXXqlyn9LSUmzcuBGjR4+WzW8ZFRWF+Ph4bNiwwX4BuvpAG2MaDfD664b7rJUkIiJyOk5bIzl9+nR8/PHH6NKlC9q1a+cUNZI7duxAWFgYjh8/juHDhyM5ORlhYWEYNWoU3n33XYSEhODMmTMoKChAJxOJXKdOnfDbb7+hsLAQfn5+lZ4vKipCUVFR+f3s7GzLAnSnRBIQI7jnzwfOnwc2bQL27AF69lQ6KiIiIirjtInkihUr8Morr2D+/PlKh1Lu0qVLyM/Px5gxY/Dqq69i4cKF2L9/P2bPno3k5GTs3LkTaWlpAGByeqKwsDBIkoSMjAw0atSo0vPz589HQkJCpcePHj2KoKCgGuNrvW8f/ADofHxwtLgYSEqy/E06mbqPPoomb74JAMh56SWkfPqpw86dnZ2NJDcoQ1fEslcGy105LHtlsNxNy83NNXtfp00ktVotBgwYoHQYMjqdDoWFhZg9ezZmzJgBAIiLi4Ovry9eeOEFbN26FQEBAQDEhOlVqeq5V199FVOnTi2/n52djaZNm6JDhw41LwNZUCBq7gB4deyI2FtuseStOa+YGODLL4GUFATv3o3Y3FygVy+HnDopKQmxsbEOORfJseyVwXJXDsteGSx30yxpEXXaPpIDBw7Enj17lA5DJrxsOp27775b9vjgwYMBiCl/9PvoayaNpaenQ6VSITQ01OTxNRpNpb6gZjtyBNDpxLarD7Qx5uMDzJxpuM++kkRERE7DaRPJN954A6tWrcKiRYtw+vRppKenV7o5mql+jwDKp/7x8vJCq1at4O/vb7KqPCkpCdHR0Sb7R9bavn2G7W7dbH98JT3yiHwN7t27lY2HiIiIADhxItm5c2ccP34cU6dORdu2bVGvXr1KN0cbPXo0AGDTpk2yx3/55RcAQM+ePaFWqzFs2DCsX78eOTk55fukpqYiMTERo0aNsk9wxomku02TU7FWcvZs5WIhIiKick7bR3LWrFnV9jNUwsCBAzFs2DC8+eab0Ol06NmzJ/766y8kJCRg6NCh6NOnDwAgISEB3bp1w9ChQzFjxgwUFhZi1qxZiIiIwEsvvWSf4PSJpK+ve4zYrmj8eGDuXODsWWDLFuCPP4Cy8iYiIiJlOG0iOcdJ+8J98803SEhIwNKlS5GQkIDIyEi8+OKLmG1USxYTE4Nt27bhlVdewX333Qe1Wo1+/frhvffes09NakYGcPKk2L7lFpFMuhsfH+CNN8SUQIColdy6VdmYiIiIPJzTJpLOyt/fHwsWLMCCBQuq3a9r167YsmWLY4IyXova3Zq1jY0fD7z9NnD6NPD778COHcAddygdFRERkcdyqj6SnTp1QnJystn763Q6dOrUySnX5Hao/fsN2+6cSKrVolZSj30liYiIFOVUiWRycjIKCgrM3l+SJItf45bceaBNRQ8+CLRuLba3bRM3IiIiUoTTNW2PGDECGo3G7P2dbUCOw0kSsHev2K5TB4iOVjYee1OrgVmzgIcfFvdnzxbJpKd/DoiIiBTgVInko48+atXrIiIibByJC7l0Cbh6VWx36wZ4OVUls32MGydGcJ84IfpJJiYC/fopHRUREZHHcapE8osvvlA6BNfjSc3aet7eolbyoYfE/TlzgPh41koSERE5mAdUX7k5T0wkAeCBB8Q63ACwc6cYxU1EREQOxUTS1XlqIqmvldSbPVv0FyUiIiKHYSLpynQ6wxySTZoAjRopG4+j3X8/0K6d2N61S6x4Q0RERA7DRNKVnTgB6Nfz9qTaSD1vb/lckqyVJCIicigmkq7MU5u1jY0ZA3ToILb//BP43/+UjYeIiMiDMJF0ZUwkxXRHrJUkIiJShMskknfccQf++OMPpcNwLvpEUqUCunZVNhYljR4NxMaK7b17gU2blI2HiIjIQ7hMIvmvf/0LTz/9NAYPHoy///5b6XCUV1gIHD4stmNigJAQZeNRUsVayRkzAK1WuXiIiIg8hMskkvfddx+SkpJw//33Y9SoURgzZgyOHz+udFjKOXwYKCkR257arG1s5Eixsg8AJCUBK1cqGw8REZEHcJlEEgC8vLwwYcIEnDhxAn379sVdd92FCRMmIDU1VenQHI/9I+W8vID33jPcf+MNIC9PuXiIiIg8gMskknl5edi9ezcWL16M5557Dv/973+RmZmJXbt2oVevXnjppZdQUFCgdJiOw0SysjvuAIYPF9uXLwP//rey8RAREbk5l0kk69SpgwkTJmDnzp1o06YN3n33XVy+fBknT57EiRMnIEkSRo0apXSY9nHmjPx+fr5h8m1fX6BTJ8fH5KzeeUfMLwkA774LXLvmsFPrdMDLLwN9+gCffmroeUBEROSu1EoHYK60tDTUqVPH5HNBQUH497//jdDQUMcG5Sh9+ojataeeEiO0P/wQuHpVPDd0qEgmSWjbVpTTf/4D5OYCc+aIbQf4/ntD6/quXeKSffEF0Lu3Q05PRETkcC5VI1mT7du3OyASBeTnA888I5LGf/4BFiwQj3t5AW+9pWxszmjOHCA4WGx/9hlw7JjdT6nTyQeOA8CpU6Kl3ZN6XBARkWdxmUTSHJ07d1Y6BPv65RegY0cgK0vcf+wxoH17RUNySvXrA6+8Ira1WsO2HX33HZCcLLY7dwZuuUVsp6UBv/5q99MTEREpwq0SSbe1di3QoIHY1q/aotGImjcy7cUXgcaNxfZPPxn6lNqBViu/FP/3f8Dbbxvuf/ut3U5NRESkKJdOJCdOnIjly5dD6+6TT999t6juGj3a8NiUKUDTpsrF5OwCAuTZ3HPPAcXFdjnVN98YWs979wb69wfuuguoW1c89uOPbN4mIiL35NKJpCRJWLNmjfs3aQNARISo2tq4EfjkE2DuXKUjcn4PPwz07Cm2T5wAFi60+SlKS4GEBMP9N98U46F8fYERI8Rjubls3iYiIvfk0onkF198gd9++w2H9UsFujuVCrjnHuDZZwEfH6WjcX5eXiLpVqnE/TffBC5etOkpVq8GTp4U23feCcTHG54bM8awzeZtIiJyRy6TSL7wwguQ9P0DK/DWzxtIVNGtt4oR74BY6WbaNJsdurRU5KZ6CQmGnBUQzdv6Gal++kksj05EROROXCaRTElJwfDhw5Gfn1/+2IULF/D0008rGBW5hLlzgfBwsf3NN0Biok0O+9//GuaKv+suUSNpzLh5OyeHzdtEROR+XCaR3LBhA2JiYtCnTx/s3bsXkyZNQseOHeGjYBPvsmXLoFKpEBQUVOm5gwcPon///ggKCkJoaChGjRqFs2fPKhAlISzMMPcmIAbe1HLZmZKSyrWRprB5m4iI3JnLJJIqlQrPP/88JEnC7bffjoyMDJw4cQIff/yxIvFcunQJ06ZNQ2RkZKXnjh8/jri4OBQXF2Pt2rVYvnw5Tp48ib59++LGjRsKREuYONGwJvk//4jVgWphxQogJUVs33131avX9O9vaN7+8Uc2bxMRkXtxmUTyiSeeQMeOHdGnTx98+umn2LVrF06dOqVYPM888wzuuOMODBgwoNJzs2bNgkajwcaNGzFkyBCMGjUKP//8M27cuIH39GvokWNVHHgzZw5w+bJVhyoqkg+ar6o2EhDN28OHi+2cHOB//7PqlERERE7JZRJJPz8//PPPP/joo4/w5JNPYt26dRg/fjxWrFjh8FhWrVqF7du3Y/HixZWeKy0txcaNGzF69GiEhISUPx4VFYX4+Hhs2LDBkaGSsdtuA558Umzn5gIvv2zVYZYvB1JTxfY99wA9elS/P5u3iYjIXblMIvnxxx+jsX6lEgDdu3fHzp078cEHHzg0juvXr+OFF17AggUL0KRJk0rPnzlzBgUFBejUqVOl5zp16oTTp0+jsIr2zaKiImRnZ8tuZGPz5ok+k4CYu8fC9dkLC+XznFdXG6k3YACgXyqezdtERORO1EoHYCwrKwvvv/8+8vLycNddd2HIkCEAgPz8fOzZsweRkZGIiYkp379Zs2bYtWuXQ2N89tln0bZtW0yaNMnk82lpaQCAMH2yYiQsLAySJCEjIwONGjWq9Pz8+fORYCIzOXr0qMkBPWSdsMmT0fittwAAhU88gVPffGNyXs7s7GwkJSXJHlu9OhyXLol+sXFx2fD1PY8Ku5h0xx1N8NNPdZGdDSxdmoL4+JzavxE3Zqrsyf5Y7sph2SuD5W5abm6u+TtLTmTcuHGSl5eX1LBhQ0mlUkkDBw6ULl26JLVs2VLy8vKSvLy8pM6dO0t79+5VJL7vvvtO8vX1lY4ePVr+2KOPPioFBgaW39+1a5cEQPr6668rvX7evHkSAOnKlSsmj19YWChlZWWV3y5cuCABkLKysmz/ZjxZaakk3XabJImVyyXpgw9M7nbkyBHZ/fx8SWrY0PCygwfNP+VPPxle99BDtYjdQ1Qse3IMlrtyWPbKYLmblpWVZXb+4VRN2//73/+wcOFCXLlyBdu2bcPff/+N3r17IzMzE6tXr8ZXX32FiIgIxMXFITk52aGx5ebmYvLkyXj++ecRGRmJzMxMZGZmorhs/ebMzEzk5eUhvGy+Qn3NpLH09HSoVCqE6ofxVqDRaBASEiK7kR14e8sH3syeDVy9WuPLPv3UsNuoUcAtt5h/ygEDDGtvr18PZGVZGDMREZETcqpEMi8vr7xv4R133IF33nkH58+fx4svvogHHngAY8eOxZYtW3D33XfjrbKmSUe5efMmrl27hvfffx9169Ytv61ZswZ5eXmoW7cuHnroIbRq1Qr+/v4mq8qTkpIQHR0NPz8/h8ZOJnTvDjz+uNjOzgamT69297w8+VSUc+ZYdjqNBnjwQbFdUACsXWvZ64mIiJyRUyWSzZs3l62bPWjQIABAz549Zfs9/vjj2Ldvn0Nja9iwIRITEyvd7r77bvj5+SExMRFz586FWq3GsGHDsH79euTkGPrBpaamIjExEaNGjXJo3FSN+fMN1YT//S+wc2eVu378MXD9uti+/34gNtby002YYNhevtzCF+fmApmZ4t8qlgolIiJyNKdKJMeOHYuEhARs2LABkiShQYMGePPNNxEdHS3bLyAgAFeuXHFobH5+foiLi6t0a9iwIby9vREXF4eOHTsCABISEpCfn4+hQ4di06ZN2LBhA+655x5ERETgpZdecmjcVI2ICPkQ7MmTxQLaFaSliZwTEK3hs2dbd7pbbwX0g/n37AGOHTPzha+9BgQHi6Q3OBjo3BngxPZEROQEnCqRnD59Ovr06YPRo0ejXr16GDZsGHQ6HY4fP4709PTy/dasWYP69esrGGn1YmJisG3bNvj4+OC+++7DY489hujoaOzYsQP16tVTOjwy9tRTIsMDgKQkwMTcoG+9ZejTOGEC0L69dadSqcQCO3pffGHGi3buNGSxeklJwNSp1gVBRERkQypJcr52sm3btuHbb7/Fn3/+ieTkZJSWlkKlUqFly5Zo1KgRdu3ahUceeQRLliyBr6+v0uHaTXZ2NurUqYOsrCwOvLGnP/8Ebr9dbIeEACdPAg0aICkpCQEBsWjXTqyt7e8PnDoFGE1narGbN4HISHG8Bg2ACxdMzjwkFBWJET36qsuePYGjR8USOQCwebNYn9ENJSUlIdaa/gNUKyx35bDslcFyN82S/MOpaiT14uLi8Mknn+DgwYPIycnBrl278O9//xvdu3fHlStXIEkSVq5ciZCQEHTr1g3PPfec0iGTK+vVy9CBMTsbeOWV8qdefVUkfQDw0ku1SyIB0Zp+771i+9o1YNOmanb+v/8zJJHduwN//AEYT8D/zDNiFBAREZFCnDKRNKbRaNCrVy9MmTIFX331FU6dOoW0tDRs2rQJr7/+Oho0aIB169YpHSa5ugULAP20TCtXArt34/DhgPIlDevXr3Fgt9nMat4+edKwoLe3N7Bkifh34kQgLk48npJifYdNIiIiG3D6RNKUunXr4u6778Ybb7yBjRs3OnzgDbmh+vVFZ8gy0uTJ+OA9Q3/WhAQxzsUWBg4UzdsAsHGjqJmUkSRR21hUJO6/+CLQpYvYVqmApUvFfEKAqKE8cMA2gREREVnIJRNJIrt45hkxIhqA6tAh9Dz8XwBATAzwxBO2O41aDTzyiNguLQVWraqww3//CyQmiu2oqMqTVrZuDcyaJbZ1OuDJJ02ONiciIrI3JpJEemq1WPGmzFzMRD1cx7vviqdsqeKckuVD3m7elI/IXrwYCAysfIBp04Cy6abw99/AwoW2DZCIiMgMTCSJjPXujaRbRXVhXWRiTb0pGDrU9qdp0wbo00ds//MPsH9/2RP/+peYuBIQM58PGWL6AL6+wLJlhmUeZ80Czp61faBERETVYCJJZOT0aWDo0XeRDrHizV03vobqh+/tci7jQTfLlwP45htgzRrxQGhozbWMPXoA+hkLCgpE07zzzeZFRERujIkkURlJEvOTpxY1wBQsMjwxaRKQkWHz840ZY2i1TvzqMqRnnzU8+cknQKNGNR/k7beBpk3F9m+/mehwSUREZD9MJInKfPGFYYzLH1HjkdH7DnHn6lUxctrGgoJE6zUg4YPcJ6DSr940Zgwwbpx5BwkOlq/G8+KLXD6RiIgchokkEUSuOG2a4f6nS1S4OucNsdINIOaWrHb2cOtMnAg8ic8wBGXHbthQJIb6vo/mGDpUn5GK/pVcPpGIiByEiSQRgClTDK3XDz8sVh4sbdAA+Pe/DTs99ZRh0W0b6d3wDD5QGRK/q3OXieVvLLVokWFC9VWrgP/9zzYBEhERVYOJJHm8n34C1q4V2xER8twREycCAwaI7YsXgZdftt2JtVqoJjyGQEksc7gUT+LTC/dYd6yGDcWSinpcPpGIiByAiSR5tOxswHiMy8KFFSoEVSrgs89Eh0ZAbG/caJuT//vfYv1sAGfRAi/hfXzxhZhj3CqPPw7ceafYPncOeOMN28RJRERUBSaS5NFee01UNAKiOfvBB03sFBUlr+2bMAG4fLl2J05KAmbOFNsqFT7tuRK5CEZqKvD771Yes+LyiQsX1uJgRERENWMiSR5r927DgOeAAODTT6sZ4/L008Dw4WL75k3RkVKrte7ExcXi9cXF4v60aej+Ut/yp5cvt+6wAMRM52+/LbYlCXj0UbtMXURERAQwkSQPVVQklqjWz989dy7QvHk1L1CpgM8/Bxo3Fvd//11eS2mJhATg8GGx3bEj8OabGDYMCA8XD61fX8vc78UXgfh4sX3xIjB5ci0ORkREVDUmkuSR3nlHLE0IAN26iZUJaxQeDnz1laHacuZMYM8ey07855/AggVi28cH+O9/AT8/aDTA+PHi4aIi4OuvLTusjJeXmK5IP4p7zRpg9epaHJCIiMg0JpLkcf75R9RAAoC3txg/4+1t5ovvvNPQt1GrFZ0qzZ0SKC8PeOQRw2iaOXOALl3Kn54wwbBrrZq3AbHajfFE5c8+C6Sm1vKgREREckwkyaPodKJJu6RE3J8+Hejc2cKDzJoF3H672D53zvw1rl9+WSzmDQA9e4qTG+ncGbj1VrH911/AwYMWxlXRuHGG0UNZWcBjj9ViSDgREVFlTCTJoyxZIgbZAEDr1lbOkKNWi6biOnXE/a+/Fk3J1fnuO+A//xHbAQHAl1+K41Tw1FOG7Q8+sCK2ij75xLAWd2KiYSAOERGRDTCRJI9x8SLwyiuG+0uXAv7+Vh4sKkq0ies99xxw4oTpfU+dEhOb6/373yKLNeHhhw2Dbr7+2jA1kdVCQ0WSq+/XOXs28PPPtTwoERGRwESSPIIkicHLOTni/hNPAHFxtTzomDHiQIDo/zhunBgpY6ygQOynP/G4cfJqxwoCAoBJk8R2aSnw0Ue1jBEQI7j1nUIlCXjoIZHcEhER1RITSfII69YBP/4oths0AN5910YHXrgQiIkR23//LWY4N/avfxmm+omJEdWgVU5WKUyeDPj6iu0lSww5aK28+iowapTYzsoCRoyw0YGJiMiTMZEkt5eRATz/vOH+xx8Ddeva6OCBgaINWp/5/fvfwKZNYvvLL4Fly8R2QIDoJ6lfarEaDRsapgLKyrLBCG5AJK8rVgDt2on7//wjhombM0iIiIioCkwkye1Nnw5cvSq2770XGD3axifo3Bl47z3D/UcfFZnrM88YHvv0U6BDB7MPOXWqYXvhQusX0ZEJDga+/x4ICRH3160TE2oSERFZiYkkubVt2wyVgsHBYhBzDS3L1nnuOWDoULF944ao9iwoEPeffFKMorFAhw5i7W8ASEkBNmywUZxt2ohJ1fVeew3YvNlGByciIk/DRNICv//+OyZOnIiYmBgEBgaicePGGD58OA4cOFBp34MHD6J///4ICgpCaGgoRo0ahbNnzyoQtecqKJCPa1mwAGjSxE4nU6mAL74AWraUP969O7BokVWHfOklw/b779citoqGDhXLNAKiaXvcOODMGRuegIiIPAUTSQv85z//QUpKCqZMmYJffvkFixYtwvXr19GzZ0/8/vvv5fsdP34ccXFxKC4uxtq1a7F8+XKcPHkSffv2xY0bNxR8B55lxgzD4OTbb5e3NNtFRASQlAQcOADs2yf+3bHD6jmG+vcHOnUS23v2GOa/tImZM0U7PwBkZgIjR4qR50RERBaoPCMyVemTTz5B/fr1ZY8NGjQI0dHRmDdvHvr16wcAmDVrFjQaDTZu3IiQsv5oXbt2RevWrfHee+/hHfZLs7t164APPxTbGo2Y8tHLET+bAgIMy9PUkkol+ko+9pi4P3eumALSJk3zXl5iMFCPHmL+y6Qk4PHHxbrcdmn7JyIid8QaSQtUTCIBICgoCO3bt8eFCxcAAKWlpdi4cSNGjx5dnkQCQFRUFOLj47HBZp3dqCpnzsjn/164EGjfXrFwamXsWKBRI7G9aZNYndFm6tQRg2+Cg8X9b76xcRs6ERG5OyaStZSVlYWDBw+iQ9mI3DNnzqCgoACd9G2SRjp16oTTp0+jsLDQ0WF6jMJCMf93dra4P3Ys8PTTysZUGxqNGPCtryScO1fUtObn2+gEMTGiZlLvlVeALVtsdHAiInJ3TCRrafLkycjLy8Prr78OAEhLSwMAhIWFVdo3LCwMkiQhIyPD5LGKioqQnZ0tu5Flpk4V84IDYoCyGfN/O71775Wvuz1liqhMvO02McvQ6tXA2bO1mBJyxAjDouM6HfDAA8C5c7UNm4iIPAD7SNbCG2+8ga+++gofffQRunbtKntOVU32UtVz8+fPR4J+NK2Ro0ePIsiMiaw93S+/1MF//tMMAKDR6DBv3hmkpFhf+5udnY2kpCRbhVcr/foB48c3wqpVEQDE8okHDojbxx+LfcLDS9CpUz46d85Hp075aN++EAEBOvNOMHo0orZtQ8jOnUB6OgqGDMGZlSshWb0Yee04U9l7Epa7clj2ymC5m5abm2v+zhJZZc6cORIA6e2335Y9fvz4cQmA9Mknn1R6zbRp0ySVSiUVFBSYPGZhYaGUlZVVfrtw4YIEQMrKyrLLe3Anf/8tSUFBkiTq5SRp2bLaH/PIkSO1P4gN6XSStG6dJD3+uCR16CBJKpXh/Zq6eXlJUmysJE2cKEmffipJf/0lSfn51ZwgI0OSoqMNB3joIXFSBThb2XsKlrtyWPbKYLmblpWVZXb+wRpJKyQkJGDOnDmYM2cOXquwtnKrVq3g7+9v8hdOUlISoqOj4efnZ/K4Go0GGo3GLjG7s7NngUGDAP0PqIcflg+2cRcqlVguW79kdmammGXozz/Fbe9e8ZieTicGYyclGZZZVKmA6GigY0cgNlb827Ej0Lo1oA4NFYNvevQQUwF99RXQrZtoSyciIjKBiaSF3nrrLcyZMwczZ87E7NmzKz2vVqsxbNgwrF+/Hu+++y6Cy0bEpqamIjExES+++KKjQ3Zr164BAweKfwExX6Tx4BR3Fhoq3vvAgeK+Tidm8vnzTzHv5P79Iok0Xl5RksTcmqdOyVfL8fUVy3DHxnbAqBErMfKr+8T+L70EVefOQFycw94XERG5DiaSFnj//fcxa9YsDBo0CPfccw/27Nkje75nz54ARI1lt27dMHToUMyYMQOFhYWYNWsWIiIi8JLxciVUKzk5wJAhhkVZ2rcHfvpJTOXoiby8RDLYrp2hRjY/Xww+2rcPOHwYSE4Gjh4Vo9uNFReL5w8fBlZhNN7Gq3gN86HSapExYAwShh1AaKdmiI4GWrUSC/jUr+8ZCTsREVWNiaQFfvrpJwDA5s2bsdnE+sRS2bDZmJgYbNu2Da+88gruu+8+qNVq9OvXD++99x7q1avn0JjdVVGRWIzl4EFxv2lT4NdfAROD5T1aQADQu7e46Wm1ojtAcrKosUxOFreTJw21l2/gLdyKgxiEX1G39Cae2jAId2zYgTRElB9HoxHl3qwZEBUl/tXfoqLEc1X04iAiIjfBRNIC27ZtM3vfrl27Ygvn47MLnQ545BFg61ZxPyxMJJF2W0fbzXh7iz6RrVuLZFyvsFA0jYsE0xsrDq5GTGJ3NC89g/Y4hs0YhH74HTkQE+0XFQGnT4tbVerXr5xcNmokv+nnQyciItfDRJJciiSJsR9r14r7/v7Axo2iOZdqx88P6NxZ3IQw4Nxv0PXuA68rl3EbDuBoy3vx3l2bcOqiP1JTgfPnDYOcTLl+Xdz++qvqfTQa0d/T+KZSNUVUlPyxOnXk94ODxWv1N19fNrUTETkaE0lyKfPnG+ZN9PYGvv0W6NVL2ZjcWosW8Prtf8AddwDp6Wh6djsWtb8f+GE94OMDSQKyslCeVKamVr5dvixqkatSVCQGS+kHTAmhVoWrVoubt3fV/zZoAMycCQwdatUp3MLy5cDnnwP33Qe88ILnJuDbtwMJCWIGg3nzgMBApSNSxrlzwEsviX7W//63aEHwRLm5wIwZwLFj4nPRp4/SESlDpxN/a83FRJJcxrJlQNkCQgDEH8N77lEuHo/RoQOwebOYFT03V1QBT5gArFwJlbd3eQ2hiVVBAQAlJcClSyKpvHgRuHJFfktPF9MWZWaKpLQ2SkvFrTopKcCwYcBbb4nPkyclUcXFwL/+BSxZIu7v3i1G+X/xhWclUZIE/Oc/onWjtBRITAR27BCzX0VFKR2dYyUmimVlyxZlw44dwLp1QN++ysblaGfPAsOHi649ALBzJ/DJJ8CTTyobl6Pl5IiuY99/b/5rmEiSS/jhB/ma2e++Kz7s5CDdugE//ggMHiyqEL/6yjDXZA3D5H18gObNxa0mWq34Ituz5zgaNowpTzAr3rKyxH5FRYZbYaEhkdRqTf9bVCQSV0CsCnnihFhq3BOSyaIiMd9qxa7e334rpoOyoAu4y5s2TdS8GTt0SCw7mpgo5lb1BGvWiHl3jacIu3FD/GZcvVokmJ7g8GHxnvXfDYD4AfzUU2JWkAULlIvNkTIygDvvFIMwLWL/+dHJWpbMLO/OduyQJD8/w4IrU6c6ZsEVrnhgwg8/SJJabbgY3bpJ0tWrNj+Nvcpep5OkefPkqwItXWqXU1WtpESSTp2SJK3Woad95RXDe9ZoxP3gYMNjEyY4+DN/9qy4GImJjjunJEkbNshXgJo0Sb6gU6dOklRY6NCQJEly/PfN6dOSFBhoeN+DBklS//6G+8HBkpSS4sCAjh6VpPvuk6S77pKkbdscdtr9+5Okdu0M77ttW0l66in5Z+Tnnx0WjqIefNDwnkNCzM8/mEg6MSaSknTkiCSFhho+3OPHO+7vLxPJKvz6qzwDad5ckv75x6ansHfZf/ONIfygIEk6d86upzPYuNGQtdxyiyT9/rtDTrt7t1gyE5AkHx9xX5LE327jS/nRR+fsH0xmpiRNny5Jvr6GE48c6ZCLcOOGJNWvbzjtxx+Lx9PTxXKi+sdfe83uoQg6nST99JMk9e4tZcbHS9LBgw45rVYrSX37Gt7vww9LUmmp+I0zdqzh8X79HPB9m50tSc89J0ne3vLsbdw4u/xIrejRR6+Xn/KWW8THU5Ik6d//NoTSqJEkpaXZPRRBp5Okb78Vv/SSkx10Ukn67jvD+61TR5L++ouJpFvw9EQyJUWSIiPlv5iLix13fiaS1ThyRJKaNjVcnNBQmyZFjij7xx83hB8XZ+c/mNnZkjRsmOlF0ceMkaSCArudOi9Pklq3Npxu3jz588uWGZ6LiCiWbt60WyiSdOGCJLVsabocAgLsmljrdKLCS3+6YcPkLRt//22obPfykqQ9e+wWinD6tCTdfbe8DFQqSXrkEbtnLcZJUvPm4uOpl5kp/6+tT7btIi9Pkvr0Mf15AMSPrmvX7Hb6P/6QJJVKJwHid41x3qbTib85+lAeeshuYRjs2SNJvXoZTurlJUlPPCFJV67Y9bTXrklSRIThtF9+aVn+wUTSiXlyInnjhmhi0H+wu3eXpJwcx8bARLIGly6Jn/D6i+TjI76BbMARZZ+VJUnNmhnCX7TITifKzxeZqvEfyPBw+f177pGkoiK7nP5f/zKcpkcPUetkTKeTpCFDDPuMHWuXMMRfK+P/1BqN+CPZoIG8enj/frucfs0aw2nCwkz/bX7rLXkTZ36+XUKRpJMn5e+74u2WW0Q1qR38848oev2pTLUi//abPL8/dcoOgRQVSdLgwfITvfWWJH36qfz/x623iv+sNpabK0mtWhlO8847lfe5eFHeIrZunc3DMPjiC3mfG+NbgwaSdOyYXU6r04kGAf2pRowQjzGRdBOemkjm5orE0fgL/cYNx8fBRNIMOTnyLASQpISEWndidVTZb91qCNvPT5KOH7fxCYqL5TWRdetK0tdfi3bEFSvkndTuu69ylldLv/9u3vu7dEmEpt/3m29sGoZIijp3NpygVStJOnNGPJeZKRJp4yTbxl0lLl827/2VlIhuv/r9XnzRpmEIKSnyKr9mzSRpzRrp0ssvy4Ps3t3mCVTF9/fCC1Xv++yzhv169xYfWZspLZWkBx4wnCA4WJL++svw/PnzktSkieH5+Hib19pPnmw4fK9eVb+///7XsF+9enaqIF29Wp5EtmsnSTNmSFJIiOGxRo3EDxAbW7XKuEXC0JuAiaSb8MREsqhI3pwQGengDt9GmEiaqaREkp55Rp5MPvZYrWrYHFn2zz9vCLtnTxv+wdRq5b3XAwMrt5cmJspHkj38sM3a2LOzRbOl/tALF1a//+rV8lzOZt3TcnJEweoP3qRJ5f6Q+fmSdMcd8n3On7fJ6XU6eZ76wAPV729cY6dSSdL27TYJQ7h8WT6yJza2vBn7yJEjotbJuKby9ttt2hQzd675Na45OfIau//7PxsFodPJR7P4+Zku5H/+EVXH+v1GjbLZf84tW4xPr602P9PpRC2dcRg2Hey5bp28f+jzzxt+UF67Jkldusj/X+h/gNlAxRrXb781PMdE0k14WiKZkSE6d+s/1KGhoiueUphIWkCnE39pjJPJfv3ERbWCI8u+Yh/C116zwR8KnU4MB9YfVKOpuv/f5s3ygSdPPVXrAEpLRZ8u/SHvvLPm/FSnk6QBAzLLX3P33TYYvVxQIP9PXb9+1dWimZnyrhJt2tik+mfhQnkLoTl9QN9/3/CaFi1EjW2t3bghSR06yN+fUbZe/plPSpI37cbFiQ9pLe3cKXqfAOb3Ad2501BRptFI0p9/1jIInU4+fYBaLQagVWXPHnmt/RNP1Pr/xoUL8grhV1+t+eJevSrvQ/if/9QqBIOffzZcFECSnn668vu7eVM+EqxZM5sMTMvPFwPk9Yd98EH580wk3YQnJZKpqfLvWH9/Me2PkphIWmHtWnkHrPbtrapSdnTZ79plGNUMiEGkVld+lJSINkP9wby9xbRJ1fn+e3mtxIQJVicP+fnyPk9BQWKmHXNs23ZUNqo5Ls4witVi586JNlHjX4aHDlX/mmvXRIJlXGN34oRVp9fpJGnOHPlvmx9/NO+1paXyUc1RUbXs9pCWJvr66Q/YvLnIaIzIPvN//y2vKurf3+ofZZIkPl7GFd+WjEqfNs3wuoCAWkyFk5EhBpbpD6ZSiWrwmvz6qzzZuv9+qz+UycnyFvN+/STp0CHzvmu+/Vb+WZo3r5Y57W+/yb8rH3206l97166J71Ljz08tmurS0+VjnEyNSmci6SY8JZH8+2/56OyICBv88rUBJpJW2rVL/vO9YUOLB1AoUfbGI1kB0WXR4m5ZZ87IR12qVJL01VfmvXbNGnk/qbZt5f3GzJCWJs/dfHzEtB7mOnLkiLR1q0gYjHO5ixctCkMkCMb9uwIDzf9PnZIi/2sfGChJy5db9Fe7pESSnnxSfj1ffdWyt5CSIu8aEBZmmDbJIlu2SFLjxvK/2qdPV9qt0md+3z55GTZpIjr1WujTT+U/kgYOtKymuWKlsre3uBwW+eMP+cg2QJIWLzb/9V9/Lf+/0by5xX8kdu6U5+atWolc3pLvmpdekr+FyZOt+MFZWiqyUOPk+IEHaj7QlSvywWqhoeL/mYXZbGqqPCcNCjLds4CJpJvwhERy0ybxQdZ/qKOj7TRC0ApMJGvh9Gl5e3FAgPnVQZJyZb9ypXy+9TvuMHPwrE4nXmw8KaO3tyQtWWJZAF99JarjjZv+5s0z66/V+fOSbGLloCBR6WEJfbnv3Sv/LdCsmZnjX7KyRD9P47+2zZtbPpfO8ePyP5r6migzauXy8irPtPTvf1t2er3Ll+Vd1Pz9a65cLldQIEbrGAdSr56YvNMEk5/5Xbvk2Q8garvNGE6u00nSG2/IXzp+vHVdlwsL5WNjADHAusYcprRUkt58U57JhoZaN/x5/Xp5WXh7S9L8+Wb1KV63Tl75d9tthl4TlnzX6HRidLdxOYwebcEPztOnRb9X4wMMH27+vHaXLsm/VwFRy2vmaNQjR+S/aerXl6QDB0zvy0TSTbhzIpmZWXl8Rq9eyozOrgoTyVq6eVPefuLlZfakdEqW/aZN8m5ZHTpUaoWUS0+v/Fe2ZUvrq9WPH5ekrl3lx+vTp9p+UUeOyGv1GzSwbm5r43I/eVL0D9Qfs25dUbFUpd275S8AREdNa9vGc3NFnzjj40VFVRvEjRvycT0+PqKitzaysuR9yby8zFgN6fBhSerYUR57v37VfpCq/MynpsqrBAHxi6GqDEASNbITJ8pfMn167cZxabWV8+JnnqnmN05qqnwAFSD6C9RmEFVKSuVErH//audZ/PhjeWXm3XfLxy9Z813z5ZfyH5x9+9bwg1OnEx8a4y8WLy8xMtvSzD4tTUzWblwGDRtW39dUEtM81akjr7SpbtwOE0k34a6J5Pffy//oAWIknN3mbLMSE0kbKCiQL5UBiC/BGn4xKF32+/eLyiN9yE2aVLHIxLZt8p77gBixbjzDszWKiyXp9dflNTnBweIvWIVqoMREeQto69bm94msqGK5X70q79rn5yeWGJTR1zoZ9/EMDhbzitjCt9/Ka6K8vMQUUxUymHPn5JWYwcFWtQSbVFQkH4APSNLs2SZq5LRaMejMePCURiOqRGvI4qr9zGu1YtSQcbWaWi2GYVeYMio3Vz5KXaWy7Ryp770nL4cRI0x8d69fL5/KqIprZpWSEvF/wzg7rFdP/AI0otOJvqDGsT7ySOXKP2u/a379tfIPztRUEzteuSK/IPofmtX+KjPDN9/IR7UD4oeXie+etWvlH8lu3STp+vXqD89E0k24WyJ5+bJoBjD+3AcGiu9HBy87bBalkxm3odWKDmrGF75+/Wqbt5yh7E+dkk9/EhpqNACsuFj8lTL+YxYaavsJGHfulHfUA0QTb1nP+Ip/IHr0qF2tvqlyz86WpAED5DlB+ajVc+cqr0zSq5f1mWxVzp+vfB6j2q2//xaVMvqnGjWqeVyPpbTayn3knnzSKI9LTRXzHRrvEBtr9tQTZn3mjx6Vj2zXl3dZf6Dr1+Vz8Pr62mFOUEn8RjDu4te7d9lHMi9PjDw2jq9ZM/E5trWtW8WFNj7XtGmSVFQkFReL33PGT736qumm+Np81/z1l3zJzcaNxaD7ct99V3nxgSefrP0PTb3LlyvP49u8uazT44cfyr+mhgwRPzZqwkTSTbhLIqnTSdJnn8mr1QGxqIFSc0SawxmSGbeyerW8lgIQTcImfho7S9lfuyb6UxlXLm3+6KT8QUDMr2OyOsIGsrLEiE7j8zVuLK17dovsD8Q995j3B6I6VZV7UZHoX2ccwjcjVks646pQLy8xTNrGk6qXKykRtVoV+tsdmfWtrGtq27b2Xba74qCsYcMkqfCL1fIvOJVKJDUWjGox+zNfVFS5tjowULrx9hKpdbSu/KGQEFFbbS+//Sbv335viyNSUev28sK57z67rdAjSZL47qiQSJXeeps08Y5Tskvx0UdVH6K23zWnT8unBg0NlaQ/fs4U1Z/GZdGggVhX3db0zebGF0OlknQvTpVef6lAFsKECeZ3x2Qi6SbcIZE8cUL8jTX+MEdEiDEFNp3U1Q6cJZlxK5cvi87lxh+IunUlaeZMWULpTGWfk6NfElknTcQyKQdG7VlqtSQtWGDjZT+qsHZtpUT8PUyVNCiQJk60Tf5WXblrtaKfXTCypJUwMaBm167aB2AOEyOAl+BJKQC5Us+e5s0TWVtr1ogauTrIkL5Chf5qTZtatWa4xZ/5XbvkVeaA9BPukRrgihQZKbpp2tvBg5LUoL5OehYfSwUwanb39xe1B474ktfpJOmDD2RVpFkIlsbhK0mjkU+ybYotvmuuXTOsGBSPrVIqKnR3GTWq5rbk2jpzRj5nFSAlo710K/6SAPHbw5LLwUTSTegv5A8/ZEmJiaJ14M8/RXLm7ElYcbEYbGrcpQcQP9KcaUBNdZwpmXErOp2onazYv8fPT6zLduaM05V98ZWb0r5mo2TxXg9rI+n2WzY9T20Vnb0oHWnYXxbHlfqxku6wbcqrxnL/808pM7yl7Py/Rz4k5V7KtMn5zZaRIR3vfL8sjtSgGCl/998OC+HAe79LqSp5wpAz/EHHTsKfkyNdGPKULIZ073Dp+qf2XBTayI0bUm7/e2XnP+zVWdq7wrZLXJoj9fsD0lkf+YjmK4Meq3FlIFt91+Rcz5fWN39Bdv5CvxAxm4Oj/mCXlkoFb78nFakM/V2KoZb2Dk0wvyqyDBNJN6G/kECW7O+t/kfvU0+JaTqczb59ktSpU+UKi19/VToyyzhbMuN2rlwRHZmMhz+WNZFmDBpk3bBje9iypdLoMH0N2GOPWfz9bDV9X0UVtNIUfCCvAfL1NWtAR02q/MybGFCThWDpQaySANEvz94VLnparSRNnSpqiCfgcykXAfJy+OAD+/7hLiwUnSWN+hVkoI40Fqulhg1Ff01rWPN9s2qV+O8zBBulK2gg/3/06KO1mE3eDL//Xun/xQeYImlQIPn6igp0R9H3VQxCduXa8rZtq70oNvmeP3BAPjkjIP2OOKkZUqrsm2kPV6+KCR/aI1k6gAp9abt1E0twmomJpJuoLpE0vt1zj8XzFttFbq6YHsK4646Xl/jOrW3fLSUwkXSQ8+fFB8d4CKT+NmCASOSUqIIvLJSkl1+W91QPC5N+fmK97KHBg226HLJJV65UHj29deER+dJpgJinptq5iqpn8jOfkmJyQM2fq8/abLS4uYqKKs988tFzxyVdxQEogwfbZHnFSo4cqfQrOb9XvHRny9Tyh6wdLW7pfIYVVyR9ZPB1qfTekfIHo6LEzAK2ZGqgWUSEVPDdRruOFq/K5s3yr4727SXp5gdfyh/09RXBmPgeqdX3fEmJmFDT6MewTqORfu7/b0kFrSynt/cPzlOnxGBw/Tnr1SmSzj/6hnw2BT8/UQ5m/OBkIukm9Bdy2rQs6ZVXRN/tKVNEf62KTcaA6Hpm7a/h2tDpxLJZFQeXdu5s8YImToWJpIOlpYkvZeN5d/S3rl3F8FNH9EWUJDH7dsXkpH//8kWXv/226gmOba3a+RwLCioPJa5b1+rqoEqf+TVr5INIvLzEvDdlHTIPH7bN/JXmqHY+R30toXE5NGggsgxb0GpFja+mQi3we+9JklYr3bxZ+/krzf2+0WrlK3ACRvM56nSStGKFfGJ8/cAfi5dpMuHsWfkb1f+/uHxZkiT7zF9ZnWrnczx5Uv7rCxAjoyr0rbL6e/7kycplccst5fOEffKJPNceNMh+Pzj37ZN/bTZtajTv/d69lSf3j4+vcaQrE0k3Ud2FzM0VS19VnMJO/0ft3XftO3JRkkRXoEWL5Ktp6H/0zJ/vuCY/e2EiqZD8fOni66/Lf17rb61aibln7DXpqE4njm+8uoyvryS9/36lv4bbt1ee4NfEyne1YvYKMxWX4QNEh2QLB+qVf+azsiqPOm3e3OTcd6ZW1Pnf/6x4s9UwtcKMyYWSNm8WCaRx3FOnWrYmYEUXLsgzWEDUBFcYzWJqRZ333zf/NOZ835i9wsy5c5UnA+/YsXZzIlVc9lKtFsu8VPh/YcsVdaqi04kxbsbnGDXKRK5cWFh5FvXGjWW1tBZ/z+t0YnlH43VEvbzEaJYKb7K6FXVs5Zdf5KF07GiiUSIvT9RCGZdDcLAkffFFla09TCTdhDkXsrBQ/PKpOMG3/ta9u/jRXJvFBIxlZ4s/EhMnyv/W6m9xceKHmjtgIqmcI0eOiOqNr7+uXDMIiA5Rc+aIPh22qqW8dKlyJtCuXbXV/ElJlZccs1Ut/M8/W7jmdVqamGOyYvL33/+a3bckac8eMTigYhJfwwo1aWnyBUfUatvNR378uIVrXl+9Kpq2jeO/9VbLkyitViRPFZconDq1yto9U2t8T51qXo1cTd83mZni+1V/XG9vSVq2rJoXlJZWnhzdx0fUKJu7eLpOJ5a3rNifoFWrGjvom1rj2xbTJ5aWStLzz8vDefbZGr4Gfv5Z/ovMy0vMFJGebtn3fGqqqFo0Pnl0dLUfyB07Kq/xbatlgL/4Qt5yfccdNYz12rq1cu3T8OHiR1GFhJKJpJuw5EIWFIiJRyvW5BvfevUS/dAt6UJ1+bJoxpsyRbQuGn9ojW99+4q/+c4+mtwSTCSVIyt7nU78eunf3/SHr25dSRo5UqyFtnu3+NVkbnV4drZoHxs4UP5XD5CkyZPFL/kapKbK+9kHBta+RfXzz+X/1+LizBwMrNOJxNG45kgf1COPiJrLin9xtVox4eCjj0qlFX8dBgeL45khP1+scmL88nffrd13wu7d8sH9UVFmjhfQasWXnXESpU8oFy6sulpIpxM/HF5+WSxnZPzaJk3M6vyo04nfOMYvHTeu5krR6r5vLl6Ud4f1969xRTzjA1ce/ahSiWUXly83/QPh8mVR21ixuQkQ1Ytm1nRv2CBaqIyLv5rVDGtUUCCmpjQO5+23zfyMXbpUealJjUbKuPtuUa1X1fxZ6eliKqN+/Sp/RzzzjFnt1cnJ8o9TvXq1+8Gp04lFjYxDue8+M3svZGZWnq0dEEvzzJ1bvm4iE0k3Ye08kqdOial3jJuCKt7athV/e19/XczpuH+/+MG+f7/4P/Poo5WmKKt0CwkRvwxNLh3nBphIKqfKsv/rL1HrVvELveJNpRLVg7fcIkajPfWUmMz6s89ELdPbb0vSmDGmq9Xr1bN44uD0dPkUbmq1qNizlE4nmiqNw7n/fitaZk01bRq/vzvvFAlBfHzlpmD9rXfv6hfjNaG0VPxtNT7MlCnW9ZH78Uf55encubyLqvkOHqzcPwwQWfrgwZI0a5a4UB9/LJpATSVOgFjm08KJtZculX9M+/WrPv+q6jP/zz/yaTMjIkQloUUKCyXplVfknfb0Nz8/0XQ1bpz4sHXqZLrGoE4d8aPLQn/8IZ/+tEUL61qtMjLkH2lvb1EjZ5HSUvF/39T7a9hQNLW9+674npg5U3x3GC/hY7zvL79YdOoLF+TLrwcGVlrV0ey38Oyz8nCef96KhpnvvzfdHx2QpNhYKWv4cCaSSsvJyZGmTJkiNWrUSNJoNFLnzp2lNRb2vrbFhOTHj4s/TBUHd1pzU6nEcSZNEh3JXXEktiWYSCqnxrI/d0706Rg9uvJ8lNbemjcXo1GvXrUq5oKCykuA3nWXyFFqakk8eVJUABkvb1ebJEySJJGV7twp2lorLitVxa00KEgk3bt2WV2VaKq2pFMnMXtQUlL1h712TfwNHzKkchJm9Uw2eXmiuabiakQ13dRqkUj88IOVJ66cDDdpIgbKbN9e+Q+/8Wc+N1f0rxs/Xr5gSYsWYh5hq50+LapLjZdiqel2xx0iY6vFSJGKyXBwsKgg37Ch+kr/khJRWf6vf8m7b1mbhJVLThb/uYybu825tWolOoBaOeu9qWR46FDRAlHd/Mo6nWh9njNHnowC4nvD6lr/9HTxPdq7d6X3mgWYnX+oJEmSQDY3cOBA7N+/HwsWLECbNm2wevVqLFu2DF999RUefPBBs46RnZ2NOnXqICsrCyEhIbWO6dgx4NtvgR9/BI4eBQoLq9/f1xfo3h3o00fcbr8dqFu31mG4jKSkJMTGxiodhkeyqOx1OuDwYWDbNuDsWeDyZeDSJXG7cgXQaqt+bVgYcP/9wPjx4gOuUtUqbq0WmDIF+OSTys917w4MGAA0aSJOe+MGcP488Msv4v9jRe++C0ybVuuQhMJCYONG4L//Bf78U5xcr149oFs34OGHkdyqFTp262aDEwLLlwNPPVW5+KOjgXvuAVq1AurXB7KzgYsXgcREYNcucTmNjR0LrFgBaDQ2COrYMVEGq1YBFy6Y3qdvX+DBB4H77gMiImp9yj//BIYOBdLT5Y9HRADDhgEdOgCNGgFnz16At3dT7N0L/Ppr5e/nW24Rn5WGDWsdkkgV9u8X5fDjj+KDqKdWA23aAKNHA48+Ki6UDVy6BAweDCQlyR/39wcGDRL/Pxo1Anx8xH/b5GTgp5+AtDT5/vXqAT//LD6ytVZcjJRPP0XzbdvE/4+Sksr7NG4MPPAAMG4c0LVrrf9DFhaKr5t16+SPe3mJj15cnDhlSAhw7Rpw5owI7exZ+f5qtfg/9vDDtQrHICUF+PprcUtKQrZOhzqAWfkHE0k7+OWXX3DPPfdg9erVGDduXPnjAwcOxNGjR5Gamgpvb+8aj2PrRNKYVis+N//8I27nzonvFi8vICpKfKC7dgX8/Gx6WpfCRFI5Nit7rVYkTcbJZU4O0Ly5+APZsaP4xWRDkgQsXgy8/774f2Wpjh2B2bNFHmM3WVkie2vUSGS1ZWz9mf/tN+C114C//rL8tY0bA88+C8yYIb6XbEqnA06eFLezZ4HgYKBlS6BdOxtlanInTgAvvijKo7TUsteGhIg85v33RZh2UVgoPqxeXqIcfHzscprMTOCll0SFRk6OZa/18QEGDgQWLhQ/Rmyl/DOfmysu1IkT4v9HVJQoizZtbP4B1GqBt98GPv1UJM2W6tYNWLAA6NfPpmEZFBcj++hR1Ln1ViaSSnnyySfx9ddfIyMjA2q1uvzxNWvW4MEHH8SuXbtw++2313gceyaSVDMmkspxh7KXJODIEeD774ENG0SlqSkqFdCrFzBiBDBypG3/SFrKXuWemgr88IMohx07qq4kjokRZTBiBHDbbXZIIBWWkSFq077/Hti0CcjPN71fw4bA8OGiHPr1s/lvHcUVFQFbt4py+OEH4Pp10/sFBgJDhojPxJAhQJ06to9Fye8anQ7Yt8/wHXHypOn9vL1FTeXIkeJz0aSJ/WOzJP9gImkHvXr1glarxb59+2SPHz16FB07dsSSJUvw1FNPVXpdUVERioqKyu9nZ2ejadOmTCQV4g7JjKtyx7LXtwBcviwSinr1RIVg5852qQSziiPKPS0NOHhQ1MRcvy5q3CIjRcVPmzZ2PbVTKSgQNbX6Hhg3blzGbbdFonlzoEsX90uiq6LVAocOif8fV66I1uVGjUSNdLdu9m8Vc5bvGkkyVJJfuSK6fDRoIMri1ltlDQcOwURSYW3atEHLli2xefNm2eNXrlxBZGQk5s2bh1dffbXS6+bMmYOEhIRKj+/evRtBQUF2i5dMy87OZgKvEJa9MljuymHZK4Plblpubi5uv/12sxJJdbXPktVU1XTIreq5V199FVOnTi2/r6+R7NChAz/oCnCWX6qeiGWvDJa7clj2ymC5m5adnW32vkwk7SA8PBxpFYeaAUgvG7YXVkUdtUajgcYmQxOJiIiI7M9DemE4VmxsLI4dO4bSCsPzksrmPejYsaMSYRERERHZFBNJOxg5ciRyc3OxrsJEUStXrkRkZCR69OihUGREREREtsOmbTsYPHgwBgwYgEmTJiE7OxvR0dFYs2YNNm/ejFWrVpk1hyQRERGRs2MiaSfr16/H66+/jlmzZiE9PR0xMTFYs2YNxo4dq3RoRERERDbBRNJOgoKCsGjRIixatMjqY2jLZu29ePEiR20r4Nq1a6jrSWtCOhGWvTJY7sph2SuD5W6aftS2trolZsswkXRi//zzDwCgQ4cOCkdCREREnub06dPoVsPC5kwknViTsnWQLly4wBpJBRw9epRJvEJY9spguSuHZa8Mlrtp+nmso81Ys5WJpBPTD8oJCQlhIqmAoKAglrtCWPbKYLkrh2WvDJZ79cwZHMzpf4iIiIjIKkwkiYiIiMgqTCSdGJdLJCIiImfGRNKJMZEkIiIiZ8ZEkoiIiIiswlHbrig1Fbh5U2xHRADNmikbTy2lpqbipv79lImIiEAzK96XLY9lNV4fhxzLam52fSxm/P6LigCNhuXgyeUAGMqC5SAvB8AzyyI1FUhJMXt3JpKuJjUVaNsWKCwU9/38gBMnXPaDnpqaiph27VCQny973D8gAMePHbMowbDlsazG6+OQY1nNza6PxSq+fz19OXiKmsrBUz4PgOmyYDkYeFpZVFUO1WAi6Wpu3pRf4MJC8ZiLfshv3ryJgvx83D93Beq3aAcAuH7uGNbOfAw3b960KLmw5bGsxuvjkGNZzc2uj8Uqvn89fTn4+Dg+JiXUVA6e8nkATJcFy8HA08qiqnKoBhNJcgr1W7RD43a3ON2xSOD1ISIiUzjYhoiIiIiswkSSiIiIiKzCRJKIiIiIrMJEkoiIiIiswkSSiIiIiKzCRJKIiIiIrMJEkoiIiIiswkSSiIiIiKzCRJKIiIiIrMKVbdxMamoqbt68WeN+ERERjlmSjmR4fYiIyJ0wkXQjqampaNeuHfLz82vcNyAgAMeOHWOy4kC8PkRE5G6YSLqRmzdvIj8/H6tefxPtolpUud+x8+cw/u1ZuHnzJhMVB+L1ISIid8NE0g21i2qBW9vEKB0GVYHXh4iI3AUH2xARERGRVZhIEhEREZFV2LRNRFTG3FH15qjNyHtbxeEMMdQmDsbAGBiDc8ZgjIkkEREsG1VvDmtH3tsyDmeIwdo4GANjcEQMlnDncqhNMslEkogI5o+qN0dtRt7bKg5niKE2cTAGxuCIGHx8fBSPwRnKgYkkEZGNOMuoemeIgzEwBsbAGGrCwTZEREREZBUmkkRERERkFSaSRERERGQV9pF0AYcOHUJQUBAAwP/YMbQzeu4KgCtlI88sHYFmvH9jrRYNvL3FMbVaXCnbropWq4V3hX1MPWZuDNfPGWLRb1v7fmxxLADIy8vDwYMHZY/V9B7tdX0AwzXyhOuTn59fqewrsuY92vL6mKOqa4iiIkCjETFUuJ62jsP4eBXfv56+HPKjonDw4EG7l4Xx942+LOxdDsbHrKkcHBGDXnlZ5OYCBw86tBwA02WhaDk4+PMQVfaZN+cz4QzfEUp8HmrCRNIF3HnnneXbTQGcUavhU1oKAFji7Y2E8eOtOu74stfpjwnjY2q11b7Wx9cXJcXFssfUajVKy45hCR9fX6yd+VilY4234n3Z8ljz5s3Da6+9VulY1b1He1wf4+OitNQjrs/cuXMxc+bMGo9l6Xu05fUxR1XX0Jg519PWMfiYimH8eLPKvbZxKFUOpmKoqhwcEYNxHCgtBebOBWbOdGg5GMdgXBaKloNxDA4oB/1nXqnPhLN+R1SMoTpMJF3A9u3by2skASDd6Nf801ot7jX6pWLJH/dVq1ahXbt28D92DD5Gr3taq8W9q1YB7Uz/LtGf5/65K1C/hdjn+rljWDvzsfJjWsJWtWe2PNaxY8eQkpJi1Xu09fUBILtGnnB98vPzceDAgSqPU5v3aKvrY46qrqGxitfT1nFULI90E7WB+nLQl7s9y0KpcjCOAai+HPSU+Ew4uhwAo7LwwHKIiooq/66pWA7lcTjRd4SjPg/+BQWAUSVWdZhIuoAuXbogJCTE5HONym7WaNeuHW699VbTx2zXDjDxnLH6LdqhcbtbzDqmK0pJSan1e+T1sU5SUhJiY2Nr3E/J62MOc2Ix93raPQaYX+72iMPe5WB2DHY7uwUxsBwcVg4+Pj7VfuY99TsiOzvb7NdzsA0RERERWYWJJBERERFZhU3bRERGjp0/5xbHcIYYbHEMxsAYGINzxqDHRJKICEBERAQCAgIw/u1ZNjleQEAAIiIiFI3DGWKwNg7GwBgcEUNWVpbiMVjCGWKoiIkkERGAZs2a4dixY7h586ZNjhcREYFmzZopGoczxGBtHIyBMTgihqSkJMVjsIQzxFARE0kiojLNmjWr9Zequ8TBGBgDY2AM5uBgGyIiIiKyChNJIiIiIrIKE0kiIiIisgr7SLqhmob022rIP1mH14eIiNwFE0k3Ysm0ALYY8k+W4fUhIiJ3w0TSjVgyLYAthvyTZXh9iIjI3TCRdDPONi0AyfH6EBGRO+FgGyIiIiKyChNJIiIiIrIKE0kiIiIisgoTSSIiIiKyChNJAiIiAD8/w30/P/EYOQ/ja8Tr45oq/j/T87TryXIwMFUWLAeB5WDg5GXBUdsENGsGnDgB6KeliYgQj5HzML5GvD6uyfgaFhUBGo143NOuZ8XvG31ZeFo5APKyyM0FDhxgOfDz4HLfEUwknZgkSQCA7Oxs+58sNFTc9Ko5Z25uLgCgOD8XhbnZ5dv65xwSr53l5uaisLDQud6j8TVy8+tTU5wu+x4r/j/Tc5J4HVZ2Tl4ODlVWFrlHjyI7Olo85sHlIOOAcnC67wsn+b+hLxN9HlIdlWTOXqSIs2fPolWrVkqHQURERB7owoULaNKkSbX7sEbSiYWFhQEAUlNTUadOHYWj8SzZ2dlo2rQpLly4gJCQEKXD8Sgse2Ww3JXDslcGy71qkiQhJycHkZGRNe7LRNKJeXmJsVB16tThh1whISEhLHuFsOyVwXJXDsteGSx308ytwOKobSIiIiKyChNJIiIiIrIKE0knptFoMHv2bGj0UwCQw7DslcOyVwbLXTkse2Ww3G2Do7aJiIiIyCqskSQiIiIiqzCRJCIiIiKrMJEkIiIiIqswkXRCubm5eOGFFxAZGQk/Pz906dIFX3/9tdJhuZWcnBxMnz4dAwcORL169aBSqTBnzhyT+x48eBD9+/dHUFAQQkNDMWrUKJw9e9axAbuJ33//HRMnTkRMTAwCAwPRuHFjDB8+HAcOHKi0L8vdtg4dOoR77rkHzZo1g7+/P8LCwtCrVy+sWrWq0r4se/tatmwZVCoVgoKCKj3Hsredbdu2QaVSmbzt2bNHti/L3XpMJJ3QqFGjsHLlSsyePRubNm1Ct27dMG7cOKxevVrp0NxGWloali5diqKiIowYMaLK/Y4fP464uDgUFxdj7dq1WL58OU6ePIm+ffvixo0bjgvYTfznP/9BSkoKpkyZgl9++QWLFi3C9evX0bNnT/z+++/l+7HcbS8zMxNNmzbFvHnz8Msvv+DLL79E8+bN8fDDD2Pu3Lnl+7Hs7evSpUuYNm2ayRVDWPb2MW/ePPz555+yW8eOHcufZ7nXkkRO5eeff5YASKtXr5Y9PmDAACkyMlIqLS1VKDL3otPpJJ1OJ0mSJN24cUMCIM2ePbvSfmPGjJEiIiKkrKys8sdSUlIkHx8fafr06Y4K121cu3at0mM5OTlSgwYNpLvuuqv8MZa74/To0UNq2rRp+X2WvX0NHTpUGjZsmPToo49KgYGBsudY9raVmJgoAZC+/fbbavdjudcOaySdzIYNGxAUFIQxY8bIHp8wYQIuX76MvXv3KhSZe9E3b1SntLQUGzduxOjRo2XLZ0VFRSE+Ph4bNmywd5hup379+pUeCwoKQvv27XHhwgUALHdHi4iIgFotVstl2dvXqlWrsH37dixevLjScyx7ZbDca4+JpJNJTk5Gu3btyr/Y9Tp16lT+PDnGmTNnUFBQUF72xjp16oTTp0+jsLBQgcjcS1ZWFg4ePIgOHToAYLnbm06nQ2lpKW7cuIHFixfj119/xSuvvAKAZW9P169fxwsvvIAFCxagSZMmlZ5n2dvP5MmToVarERISgrvvvht//PFH+XMs99pjIulk0tLSEBYWVulx/WNpaWmODslj6cu6qushSRIyMjIcHZbbmTx5MvLy8vD6668DYLnb27PPPgsfHx/Ur18fL774Ij788EM8/fTTAFj29vTss8+ibdu2mDRpksnnWfa2V6dOHUyZMgVLlixBYmIiFi1ahAsXLiAuLg6//vorAJa7Lahr3oUcrbom15qaY8n2eD3s54033sBXX32Fjz76CF27dpU9x3K3j9deew1PPPEErl+/jp9++gnPPfcc8vLyMG3atPJ9WPa2tW7dOvz000/4+++/ayw/lr3t3HLLLbjlllvK7/ft2xcjR45EbGwspk+fjrvvvrv8OZa79ZhIOpnw8HCTtY7p6ekATP9qIvsIDw8HYLoWOD09HSqVCqGhoQ6Oyn0kJCRg7ty5ePvtt/Hcc8+VP85yt69mzZqhWbNmAIAhQ4YAAF599VU8+uijLHs7yM3NxeTJk/H8888jMjISmZmZAIDi4mIAYjS9j48Py95BQkNDMXToUHz66acoKChgudsAm7adTGxsLI4dO4bS0lLZ40lJSQAgm7KA7KtVq1bw9/cvL3tjSUlJiI6Ohp+fnwKRub6EhATMmTMHc+bMwWuvvSZ7juXuWN27d0dpaSnOnj3LsreDmzdv4tq1a3j//fdRt27d8tuaNWuQl5eHunXr4qGHHmLZO5AkSQBETSPLvfaYSDqZkSNHIjc3F+vWrZM9vnLlSkRGRqJHjx4KReZ51Go1hg0bhvXr1yMnJ6f88dTUVCQmJmLUqFEKRue63nrrLcyZMwczZ87E7NmzKz3PcnesxMREeHl5oWXLlix7O2jYsCESExMr3e6++274+fkhMTERc+fOZdk7SEZGBjZu3IguXbrAz8+P5W4DKkmfmpPTGDhwIP766y+88847iI6Oxpo1a/DZZ59h1apVeOihh5QOz21s2rQJeXl5yMnJwcSJEzFmzBjcf//9AESTX0BAAI4fP45u3brh1ltvxYwZM1BYWIhZs2YhPT0dhw4dQr169RR+F67l/fffx7Rp0zBo0CCTSWTPnj0B/H879/PS9B/Acfz1Yc5pmYlsuEtbXSpJ00D8gcg07VAdNLsJ5g7qSUQF8x8ojETwEHQRkwaFGJ2CJIROoaTMDt0y2+iiaJDYQVF8d/jyHfR1fQ+fffpu7vt8wA578+b1ee99GK+999nEvv8Bvb29KiwsVHV1tUpKSrS1taXZ2VnNzMxoeHhYDx8+lMTe/1fC4bBevHihHz9+JMbYe2d1dHQoEAioqqpKXq9Xnz590vj4uD5//qzXr1+rpaVFEvuesvT9hSV+Z2dnx/T39xu/329yc3PN5cuXzfPnz9O9rKwTDAaNpKSPL1++JOYtLy+b5uZmc+LECVNYWGja2trM6upq+hZ+jIVCod/u+T/fjth3Z01NTZmGhgbj9XpNTk6OKSoqMqFQyEQikSNz2fs/L9kfkhvD3jtpdHTUVFZWmtOnTxuXy2V8Pp+5deuWef/+/ZG57Lt9nEgCAADAFu6RBAAAgC0USQAAANhCkQQAAIAtFEkAAADYQpEEAACALRRJAAAA2EKRBAAAgC0USQAAANhCkQSAYy4cDsuyLFmWpbKyMkezBwYGEtkFBQWOZgM4/iiSAJAF/H6/FhYW9OzZM0dzBwcHtbCwoBs3bjiaCyA75KR7AQCA1Hk8HtXW1jqeGwwGFQwG5fP5HM8GcPxxIgkAGWJzc1O9vb06c+aMPB6PfD6f6uvrNT8/bzvTsiz19fXpyZMnunDhgvLz81VVVaXFxUUZYzQ2NqZz586poKBAV69e1erqqoOvCEC240QSADJEZ2enotGo7t+/r/Pnz+v79++KRqP69u1bSrmvXr3SysqKHjx4IMuyNDIyops3b6qrq0tra2t69OiRtre3NTQ0pNu3b+vDhw+yLMuhVwUgm1EkASBDvHv3Tt3d3erp6UmMtba2ppy7t7enN2/e6OTJk5L+OqVsa2vT27dvFY1GE6Vxc3NTAwMD+vjxo8rLy1O+LoDsx1fbAJAhqqurNT09rXv37mlxcVH7+/uO5DY1NSVKpCSVlpZKkq5fv/7LyePf4/F43JHrAsh+FEkAyBAzMzPq6urS5OSk6urqVFxcrDt37mh9fT2l3OLi4l+e5+bm/uv47u5uStcD8P9BkQSADOH1ejUxMaFYLKZ4PK7R0VG9fPlS4XA43UsDgKQokgCQgQKBgPr6+nTt2jVFo9F0LwcAkuLHNgCQAba3t9XU1KSOjg5dvHhRp06d0tLSkubm5tTe3p7u5QFAUhRJAMgAeXl5qqmpUSQSUSwW0/7+vgKBgEZGRnT37t10Lw8AkqJIAkAG8Hg8evz4cUoZBwcHsixLLpcrMWaMOTLv7NmzSccbGxuPjB8eHurw8DDpfADgHkkAyALxeFxut1sVFRWO5g4NDcntduvp06eO5gLIDpbhYyYAHGuxWExbW1uSpPz8fF26dMmx7K9fv2pjY0OS5HK5dOXKFceyARx/FEkAAADYwlfbAAAAsIUiCQAAAFsokgAAALCFIgkAAABbKJIAAACwhSIJAAAAWyiSAAAAsIUiCQAAAFt+ApRo9L3Qk2ziAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# inverting alphas again is needed\n", "tws_e = Twiss()\n", "tws_e.beta_x = tws_echo_inv_end.beta_x\n", "tws_e.beta_y = tws_echo_inv_end.beta_y\n", "tws_e.alpha_x = -tws_echo_inv_end.alpha_x\n", "tws_e.alpha_y = -tws_echo_inv_end.alpha_y\n", "\n", "lat_echo_fodo = MagneticLattice((echo, fodo) )\n", "\n", "tws_all = twiss(lat_echo_fodo, tws_e)\n", "\n", "plot_opt_func(lat_echo_fodo, tws_all, legend=False)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 3. Matching section" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "Q1 = Quadrupole(l=0.3, k1=1)\n", "Q2 = Quadrupole(l=0.3, k1=1)\n", "Q3 = Quadrupole(l=0.3, k1=1)\n", "Q4 = Quadrupole(l=0.3, k1=1)\n", "\n", "\n", "m1 = Marker()\n", "m2 = Marker()\n", "dm = Drift(l=1.5)\n", "match_sec = (m1, dm, Q1, dm, Q2, dm, Q3, dm, Q4, dm, m2)\n", "\n", "lat_m = MagneticLattice(match_sec[::-1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Matching\n", "As it was mentioned above, matching will not give you desired values if your geometry of initial conditions are poor. Because our goal is not a good design but showing the concept of OCELOT usage, we choose very relax condition. \n", "Twiss parameters on the entrance of the matching section:\n", "\n", "- beta_x = 5 \n", "- beta_y = 5\n", "- alpha_x = not defined\n", "- alpha_y = not defined\n", "\n", "the twiss parameters on the exit of matching section are defined by echo section" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "initial value: x = [1, 1, 1, 1]\n", "Optimization terminated successfully.\n", " Current function value: 214917575.120251\n", " Iterations: 106\n", " Function evaluations: 197\n", "Q1.k1 = 2.355853351631101\n", "Q2.k1 = -1.3155292135369026\n", "Q3.k1 = -0.9164603176527466\n", "Q4.k1 = 1.332649679467849\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# constrains\n", "constr = {m1:{'beta_x':5, 'beta_y':5}, \n", " m2:{'beta_x':tws_e.beta_x, 'beta_y':tws_e.beta_y, \n", " 'alpha_x': -tws_e.alpha_x, \"alpha_y\":-tws_e.alpha_y}}\n", "\n", "# variables\n", "vars = [Q1, Q2, Q3,Q4]\n", "\n", "# initial condition for twiss\n", "\n", "match(lat_m, constr, vars, tw0, verbose=False)\n", "\n", "for i, q in enumerate(vars):\n", " print(\"Q\"+str(i+1)+\".k1 = \", q.k1)\n", "\n", "tws0 = Twiss()\n", "tws0.beta_x = tws_e.beta_x\n", "tws0.beta_y = tws_e.beta_y\n", "tws0.alpha_x = -tws_e.alpha_x\n", "tws0.alpha_y = -tws_e.alpha_y\n", "\n", "tws = twiss(lat_m, tws0)\n", "plot_opt_func(lat_m, tws, legend=False)\n", "plt.show()\n", "\n", "tws0 = tws[-1]\n", "tws0.alpha_x = -tws[-1].alpha_x\n", "tws0.alpha_y = -tws[-1].alpha_y" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## FINAL Lattice" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cell = (match_sec, echo, fodo)\n", "# fodo quadrupoles\n", "\n", "lat = MagneticLattice(cell)\n", "\n", "tws = twiss(lat, tws0)\n", "plot_opt_func(lat, tws, legend=False)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.15" } }, "nbformat": 4, "nbformat_minor": 4 }