{
"cells": [
{
"cell_type": "markdown",
"id": "9b3d868b",
"metadata": {},
"source": [
"# Analysis of a Decision-making Model"
]
},
{
"cell_type": "markdown",
"id": "d0758752",
"metadata": {},
"source": [
"@[Chaoming Wang](https://github.com/chaoming0625)"
]
},
{
"cell_type": "markdown",
"id": "533d47d1",
"metadata": {},
"source": [
"In this section, we are going to use the [low-dimensional analyzers](./lowdim_analysis.ipynb) to make phase plane and bifurcation analysis for the decision-making model proposed by (Wong & Wang) [1]."
]
},
{
"cell_type": "markdown",
"id": "5cfa074d",
"metadata": {},
"source": [
"## Decision making model"
]
},
{
"cell_type": "markdown",
"id": "9f3268e0",
"metadata": {},
"source": [
"This model considers two excitatory neural assemblies, populations 1 and 2 , that compete with each other through a shared pool of inhibitory neurons. In our analysis, we use the following model equations. \n",
"\n",
"Let $r_1$ and $r_2$ be firing rates of E and I populations, and the total synaptic input current $I_i$ and the resulting firing rate $r_i$ of the neural population $i$ obey the following input-output relationship ($F - I$ curve):\n",
"\n",
"$$\n",
"r_i = F(I_i) = \\frac{aI_i - b}{1-\\exp(-d(a I_i - b))}\n",
"$$\n",
"\n",
"which captures the current-frequency function of a leaky integrate-and-fire neuron. The parameter values are $a$ = 270 Hz/nA, $b$ = 108 Hz, $d$ = 0.154 sec.\n",
"\n",
"Assume that the synaptic drive variables' $S_1$ and $S_2$ obey\n",
"\n",
"$$\n",
"\\frac{dS_1}{dt} = F(I_1)\\,\\gamma(1-S_1)-S_1/\\tau_s\\\\\n",
"\\frac{dS_2}{dt} = F(I_2)\\,\\gamma(1-S_2)-S_2/\\tau_s\n",
"$$\n",
"\n",
"where $\\gamma$ = 0.641. The net current into each population is given by \n",
"\n",
"$$\n",
"I_1 = J_E S_1 + J_I S_2 + I_{b1} + J_{ext}\\mu_1 \\\\\n",
"I_2 = J_E S_2 + J_I S_1 +I_{b2} +J_{ext}\\mu_2.\n",
"$$\n",
"\n",
"\n",
"The synaptic time constant is $\\tau_s$ = 100 ms (NMDA time consant). The synaptic coupling strengths are $J_E$ = 0.2609 nA, $J_I$ = -0.0497 nA, and $J_{ext}$ = 0.00052 nA. Stimulus-selective inputs to populations 1 and 2 are governed by unitless parameters $\\mu_1$ and $\\mu_2$, respectively. \n",
"\n",
"For the decision-making paradigm, the input rates $\\mu_1$ and $\\mu_2$ are determined by the stimulus coherence $c'$ which ranges between 0 (0%) and 1 (100%):\n",
"\n",
"$$\n",
"\\mu_1 =\\mu_0(1+c')\\\\\n",
"\\mu_2 =\\mu_0(1-c')\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "2a73eb21",
"metadata": {},
"outputs": [],
"source": [
"import brainpy as bp\n",
"import brainpy.math as bm\n",
"\n",
"bp.math.enable_x64()\n",
"# bp.math.set_platform('cpu')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"outputs": [
{
"data": {
"text/plain": "'2.3.0'"
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bp.__version__"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "markdown",
"id": "6430d1b0",
"metadata": {},
"source": [
"## Parameters"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "4a6c0a75",
"metadata": {},
"outputs": [],
"source": [
"gamma = 0.641 # Saturation factor for gating variable\n",
"tau = 0.1 # Synaptic time constant [sec]\n",
"a = 270. # Hz/nA\n",
"b = 108. # Hz\n",
"d = 0.154 # sec\n",
"\n",
"I0 = 0.3255 # background current [nA]\n",
"JE = 0.2609 # self-coupling strength [nA]\n",
"JI = -0.0497 # cross-coupling strength [nA]\n",
"JAext = 0.00052 # Stimulus input strength [nA]\n",
"Ib = 0.3255 # The background input"
]
},
{
"cell_type": "markdown",
"id": "a7453f5e",
"metadata": {},
"source": [
"## Model implementation"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "61f19c7f",
"metadata": {},
"outputs": [],
"source": [
"@bp.odeint\n",
"def int_s1(s1, t, s2, coh=0.5, mu=20.):\n",
" I1 = JE * s1 + JI * s2 + Ib + JAext * mu * (1. + coh)\n",
" r1 = (a * I1 - b) / (1. - bm.exp(-d * (a * I1 - b)))\n",
" return - s1 / tau + (1. - s1) * gamma * r1\n",
"\n",
"@bp.odeint\n",
"def int_s2(s2, t, s1, coh=0.5, mu=20.):\n",
" I2 = JE * s2 + JI * s1 + Ib + JAext * mu * (1. - coh)\n",
" r2 = (a * I2 - b) / (1. - bm.exp(-d * (a * I2 - b)))\n",
" return - s2 / tau + (1. - s2) * gamma * r2"
]
},
{
"cell_type": "markdown",
"id": "07f6669b",
"metadata": {},
"source": [
"## Phase plane analysis"
]
},
{
"cell_type": "markdown",
"id": "21577116",
"metadata": {},
"source": [
"The advantage of the reduced model is that we can understand what dynamical behaviors the model generate for a particular parmeter set using phase-plane analysis and the explore how this behavior changed when the model parameters are varied (bifurcation analysis).\n",
"\n",
"To this end, we will use ``brainpy.analysis`` module. "
]
},
{
"cell_type": "markdown",
"id": "f7874ee8",
"metadata": {},
"source": [
"We construct the phase portraits of the reduced model for different stimulus inputs (see Figure 4 and Figure 5 in (Wong & Wang, 2006) [1]). "
]
},
{
"cell_type": "markdown",
"id": "b733d379",
"metadata": {},
"source": [
"**No stimulus**: $\\mu_0 =0$ Hz. In the absence of a stimulus, the two nullclines intersect with\n",
"each other five times, producing five steady states, of which three\n",
"are stable (attractors) and two are unstable"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "d41349ff",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"I am creating the vector field ...\n",
"I am computing fx-nullcline ...\n",
"I am evaluating fx-nullcline by optimization ...\n",
"I am computing fy-nullcline ...\n",
"I am evaluating fy-nullcline by optimization ...\n",
"I am searching fixed points ...\n",
"I am trying to find fixed points by optimization ...\n",
"\tThere are 1212 candidates\n",
"I am trying to filter out duplicate fixed points ...\n",
"\tFound 5 fixed points.\n",
"\t#1 s1=0.5669871605297269, s2=0.031891419715715866 is a stable node.\n",
"\t#2 s1=0.31384492489136057, s2=0.05578533347184539 is a saddle node.\n",
"\t#3 s1=0.1026514458219984, s2=0.10265095098914433 is a stable node.\n",
"\t#4 s1=0.05578534267632889, s2=0.3138449310808786 is a saddle node.\n",
"\t#5 s1=0.03189144636489119, s2=0.5669870352865433 is a stable node.\n"
]
},
{
"data": {
"text/plain": "",
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\n"
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"analyzer = bp.analysis.PhasePlane2D(\n",
" model=[int_s1, int_s2],\n",
" target_vars={'s1': [0, 1], 's2': [0, 1]},\n",
" pars_update={'mu': 0.},\n",
" resolutions=0.001,\n",
")\n",
"analyzer.plot_vector_field()\n",
"analyzer.plot_nullcline(coords=dict(s2='s2-s1'),\n",
" x_style={'fmt': '-'},\n",
" y_style={'fmt': '-'})\n",
"analyzer.plot_fixed_point()\n",
"analyzer.show_figure()"
]
},
{
"cell_type": "markdown",
"id": "0ac9a527",
"metadata": {},
"source": [
"**Symmetric stimulus**: $\\mu_0=30$ Hz, $c'=0$. When a stimulus is\n",
"applied, the phase space of the model is reconfigured. The spontaneous\n",
"state vanishes. At the same time, a saddle-type unstable\n",
"steady state is created that separates the two asymmetrical attractors. "
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "e517846e",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"I am creating the vector field ...\n",
"I am computing fx-nullcline ...\n",
"I am evaluating fx-nullcline by optimization ...\n",
"I am computing fy-nullcline ...\n",
"I am evaluating fy-nullcline by optimization ...\n",
"I am searching fixed points ...\n",
"I am trying to find fixed points by optimization ...\n",
"\tThere are 1212 candidates\n",
"I am trying to filter out duplicate fixed points ...\n",
"\tFound 3 fixed points.\n",
"\t#1 s1=0.658694232143127, s2=0.05180719943991283 is a stable node.\n",
"\t#2 s1=0.42445578984858384, s2=0.4244556283731401 is a saddle node.\n",
"\t#3 s1=0.05180717720080605, s2=0.6586942355713474 is a stable node.\n"
]
},
{
"data": {
"text/plain": "",
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"analyzer = bp.analysis.PhasePlane2D(\n",
" model=[int_s1, int_s2],\n",
" target_vars={'s1': [0, 1], 's2': [0, 1]},\n",
" pars_update={'mu': 30., 'coh': 0.},\n",
" resolutions=0.001,\n",
")\n",
"analyzer.plot_vector_field()\n",
"analyzer.plot_nullcline(coords=dict(s2='s2-s1'),\n",
" x_style={'fmt': '-'},\n",
" y_style={'fmt': '-'})\n",
"analyzer.plot_fixed_point()\n",
"analyzer.show_figure()"
]
},
{
"cell_type": "markdown",
"id": "fb48db58",
"metadata": {},
"source": [
"**Biased stimulus**: $\\mu_0=30$ Hz, $c' = 0.14$ (14 % coherence). The phase space changes\n",
"when a weak motion stimulus is presented. The phase space is no longer symmetrical: the attractor state s1 (correct\n",
"choice) has a larger basin of attraction than attractor s2. "
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "7a06bd7b",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"I am creating the vector field ...\n",
"I am computing fx-nullcline ...\n",
"I am evaluating fx-nullcline by optimization ...\n",
"I am computing fy-nullcline ...\n",
"I am evaluating fy-nullcline by optimization ...\n",
"I am searching fixed points ...\n",
"I am trying to find fixed points by optimization ...\n",
"\tThere are 1212 candidates\n",
"I am trying to filter out duplicate fixed points ...\n",
"\tFound 3 fixed points.\n",
"\t#1 s1=0.6679776124172938, s2=0.04583022226100692 is a stable node.\n",
"\t#2 s1=0.3845586078985544, s2=0.4536309035289816 is a saddle node.\n",
"\t#3 s1=0.059110032802350894, s2=0.6481046659437735 is a stable node.\n"
]
},
{
"data": {
"text/plain": "",
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"analyzer = bp.analysis.PhasePlane2D(\n",
" model=[int_s1, int_s2],\n",
" target_vars={'s1': [0, 1], 's2': [0, 1]},\n",
" pars_update={'mu': 30., 'coh': 0.14},\n",
" resolutions=0.001,\n",
")\n",
"analyzer.plot_vector_field()\n",
"analyzer.plot_nullcline(coords=dict(s2='s2-s1'),\n",
" x_style={'fmt': '-'},\n",
" y_style={'fmt': '-'})\n",
"analyzer.plot_fixed_point()\n",
"analyzer.show_figure()"
]
},
{
"cell_type": "markdown",
"id": "e8b0eab9",
"metadata": {},
"source": [
"**Stimulus to one population only**: $\\mu_0=30$ Hz, $c'=1.$ (100 % coherence). When $c'$ is sufficiently large, the\n",
"saddle steady state annihilates with the less favored attractor, leaving only one choice attractor. "
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "7cc96eac",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"I am creating the vector field ...\n",
"I am computing fx-nullcline ...\n",
"I am evaluating fx-nullcline by optimization ...\n",
"I am computing fy-nullcline ...\n",
"I am evaluating fy-nullcline by optimization ...\n",
"I am searching fixed points ...\n",
"I am trying to find fixed points by optimization ...\n",
"\tThere are 1212 candidates\n",
"I am trying to filter out duplicate fixed points ...\n",
"\tFound 1 fixed points.\n",
"\t#1 s1=0.7092805209334904, s2=0.02396366304199462 is a stable node.\n"
]
},
{
"data": {
"text/plain": "",
"image/png": 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U4g/+4A/w67/+64bn6zMEBqmeXu69N+wd2nMHWL689x4YtjtXFmW2cfdgZMeI7QareqFuagRCY+aOgYpqtork+SQUSYE74O5zVh0uB5xeJxqFhsEROtDDcjSCLDGJjmHqRj/1EYHL50JoXP/L4Z08/LF+bm+vIVDo5sNwbDoMB0dwcrkIoOfhM7lH7UQEvVxfI0NAKe0yBKp8RS/MUkuje0f7Hq4tUTxN8vjXKiLYbtqm2dq1tTV4vV685jWvwZvf/GY88sgjhtReEP1oTu96R0dHce7cOSiKgi9+8YvG18AT7N+/H2tra3jwwQcBAJVKBWJbtLQZdOI5z3kO/v7v/x7VKotuV1dXkU5vcusVRek7vzfcXx9Q00Kd2Go0kFvIdb3mDrqHrjekLqb6HCZvxIvodNTWcdr1NpLnk/AE+o2HVSOgeuarj61qRrZVb3XdJ+6gG5TSgUZAY/1R6NYGVTjdTkwensTU0amhyQM/9REBAMR3xlHJVPq8m9B4SHcj6PM6Ot7mdvLYPx7AqZWSLY5577lNDYHFiEAW5a5rMPLAvGEvOJ7rM0bBsaCuIbTK7AHQlw4wXbsFQ2B2XFubu51+A521p0+fxu/9HmPjOJ1OfPCDHwTv4PG+970P7/2r9yKVSuGWJ96Cu559Fz760Y/qXoueIXj3u9+NF7zgBZiensbhw4dRrVb1WUuEQBAEfPrTn8ab3vQmNBoNeDwefP1rX+9bN8h7fvazn41z587hiU98IgDA7/fjn/7pn5BIsDpT7z1LuP4OfQBoVVrd9wzZGluotF7quwdH5qzLM1CFIreUg9gQ4Y14ITZFEJ5oeXPeyWN8v71+gXa9jeVHl7WOZk/Qg0aZbdRWjYDUYrpGXZ3XYPl8IhCAA9w+90ABPF5gkWRnzUC3uZUjiM3GEJmObJk9Rn7a1A5vvvlmqjeYppQs9bVqG2ncZOezyC1ueiTjB8a7vOq3ffE0vnRyDY++/Vm4/N3NnKrT48TO23bqXlduMdeVoxzdM4rwZFh37dUfXu16EPbcsUfXcDQrTSyeWNR+9ka8mD423bcOABYeWujKRXI8h51P3KnrzSbPJ7sEs4z0kwDW/dhZLDbSOQKApYeXtIcHAGZvmjVM3S09stT1wKhrz507hwMHDnStbdfbXUbOSMxPb62Z6J3VtZTSvjwvxxsTB1rVVpfxMtJEogrtrmERGDLIejWGeCc/dGFQRbvR7jIGlxcu4/CRw33rCisFZBey2lpf1Iepo1NDn3ftzBqktoRmtQkqU3hCHkzfMG154y6sFvr0tzgHB4fLgXatjamjU7aii04j0AlPyIPQeMiSEagVakieTRrm+r1RL6SWhHatn9ShghAC3sUbFo3dwU0jEhwNYmTniCEz0OD4JyilN+v97nEREQDM+12/uL7pYRFjj1SlZKrolWw4NhXGP9+/hIV8Db6YT3sAzLxWp6v7mGb5cXfQreX6OU4/3QOwm9sddIMQAkqpab5TZTipCI2HDDdAh8vRdVw98bjO43auNf0MPE5QUG2tWUTg9Di1XPig4xKOgFCi5UpN6aAc2ZRL2Ka1ehuUWT8H4Qi7D4nx+7vWWlinUjzVz2BYtg6lFHJbhiIrrPGugwZr5FXWi3UoksLE7TYmZw2LRrmBSoalmTiegyfiQWzWXm1AT6BNkRS0pTbG9o1tixHgnTxG946aPhsqKumKbo1CRXAsiGq2amq4BY+AdqNtyhxq19vwhDwY2TkCb2hr3dy9eNwYAkII+zDVVIZJoCN4hS5v1OHs/hiOTYcBAJ9/eBW/MOLWNljTm4LrpoTqeXa5pRyKq0XI7c2Uj9PjRGGlgNB4v+wuVWhXGDkyN2J4+t5u2pEdxmvFuqgdV+VvG6FVbWmFLl/MZ1ogbFaa2ucfiAdMC+bNSlPzjvwjfuM8PFj9RQ2NOd64CxvYEGrbSBEQjpiGzHbW9sIqfZV36Iu3Af0dyLzb2mcADNYpMoKe9DWlFCD6jXCyKGs6+a1qCy6/a0uGoDNqVmQFnqBHty5hBiMWDuGJYbSqh3a9jaVHl/prdgKP6WPTA40ApRT55Txy8zkIPqHP2+cFHi6/S4u+W9UW3CE3mqVuijov8KaRAsDSv4k9CUuGaRj81BeLO2HmpXWi94Hv3UR3xplH8Tf/eaXboGyxWJybz0FqdQ8fERsi0pfTXakqFX2SESZ/X9fNTMw3qs78/KDcfOda04JuTweymXHpWzuAOtq5AQ5qo79WazuxbXpEFmUoetdul+Jo9wk2Nv0eb7ua7W7KNOs3GYR6od6VZuQdvO3mMVmUDVVJqUyRvtIvNGd0nOVTy7pGYOaGmYEbrizKWHtsDdmrWS3K6pSgcPnZ++v5bkmOVmWzcOwOuCE2mVOmru+Fw+XAxMEJTB2bumZGAHgcRQQAs5qdN5oRDa/34ex9IJ0dm6jlPoKOXKvapdkLl99l2vPQCz0ROSN0XpuRnDRgb3Pv7Tcw29zV5irtWk0MjNSSuj5zszSaXcZQ1/dlZ60NYTozb9xOYduqJlJv5LCVJq5BBq83Wiinu2nJw7KFKKXIzHfz3KOzUdNIUA+dNSg9WInqFEnB6mOr7HPsoGaqRsDsPgfYfI61x9a66nyyKLOoQGzDFXChVTEWTxR8AhuQ1bEXNEoNCN6OjAYBotNRxGZj2zKgZxAeVxFBr8U0Ktz06nnoVeR/8xl7wBGgZrHRozMiMPrijGiunENfcreLOspz5r0JHU1lnrBxeCy35a6uxO2iePb2EGwXzXRLSqLbRTPtNUYmejBDRwQ6khXDHHMQzCQ3CEe6NnqpJXU5Vp6QZ+gCdS1X60pzOgTHUENnzCZ5eSMsfWIGRVKwcnoFjVID7VqbNZtt0ICtGIFSsoSlh5d0h8pzHAde4A2NAOfg4PK7UC/Udfcm9Z70RrzYccsOxHfGfyRGAHicGYJeGqaRIRiUGgKA23ZEoVDgsVxHaGcxNWT05QUTQd2HML4zrpt77zQEZkqilHaLvW2bTLSNBrEtGY3t6iHYCnXUjtGwSUm1stbMk+29P7dMFTSIknslztWiroqt1AbKme7IIjZn39Mtp8u69QFf1IeZ4zOYPjZtWsPqNAIqWrUWAvEApm+YNjUCiqxg/cI61i+s6zqO/rgfYks0vJcFrwBFVsy7jH0uTB+bxtTRqYEGqRNb7UoGHm+GQLBmCPpSQzpCTzdMh8FzBKezm4bAamexGQuoV9BL8AqGkUJnasgsLSS1pK5axnZJSndu7oQjpg9ZZ78B7+RNu6W7jssTw0E7wBYNwTZu7nf/6t04euNR3HTbTXjtr70WoqgvI2z1GtR0zzv/N5OhVsXjOgXjtLUb9+e9992Ll778pSA8wZe+9CW8+93vNrxmW9hg2PV+BqpWj7pm2N6BVq2FSqoCwSvA5XPB6XZa7tBVoUgK1s9308MJR7SNc1CRWJZYTaCX4++NeDG2b2zwxkv0i9Qcz8EX9aGaqUJuy2hWmvr3s0l3sNPtxOSRSUwenjRUfu0FpWye+vLJZcw/MP9TPbx+2+EQHPBFfRo1ziiVQjii0UIppfqyDS4HDk8EcabU0m4ys01T8AgazdJM9sIf92ssDIAJdxl98YJH0Aa2m6V7CEcYV32DUWN2fsJvrN2QOjbbhDkHB5fPpYntmd2gvJNn83t58/Nra/0ucNzg42q0SQwukmppD8I0e0zXYjNFMnAIPAFe9cpX4WN//zEQQnD3a+/GRz/6Ubz+9a/vX8ttXu8gj1e7VkIGryUb1NGN9S984Qvxwhe+0PQ9Rug1goJH0K2bldfLkCUZDpcDwbHg0INi1HSO6izM3DRjK71FKcX6xX5PfOcTdlqSuZAlGSunVvoaubwRLyYPT1qKTDiOw8TBCSycWOijk3cW2KnSP4sCANq1dlfTG8C+x+hMFNGZqOXoiFKKSqaC/FK+yzCV1kuITNorvHficRURqDotjVIDrUpLf/IT2BegSAoapQaa5SbEhqg7KMLl4PFoqop0topGqWHuuVJG9WyUGqa5/K4vnBhruwDswVGPaSZVLYsy2jW2VmpKA4u67VobzVLTdIIZwG7eVq2lFbLM0Kq10Kq1GANiALuhXW+jVW2hUW6Yts4Dmw8WVfQL/11rN7xsKlPTnHvX2o17RF1bq9X6ZKihAM951nO0XoNbb70VKysrfcf82Mc+hpf/wsvxcy/6ORw6egh/8LY/0H7n9292eH/uc5/DL9/9y+zcG8qfvRtBpwz17U++HeVyGZ3zgT/2sY/hjW98IwDYlqHuZSDpbUK1fE2rO0ktCaFRex68ikap0TXLNzQe0pVwMEMpWeqTuJg6NmXJCFBKkb7UP/DdF/VZNgIqnB4nxg+MA2DED6N9w2gWSmdh3Bv2Yu6WOYzsGLF0DYqsoLhaxPz980ieTfZFJ4XlguF+ZwWPq4gA6JZh0KOZ5RZzyC3luiyz2pE8e+MsG2ixgfMb/N+PXsjhdw4PLkKpMPtiO887iDHRmRoyHUjTcTOa5fyB7vz8oLVd7KIBhsAqE8nW2v94K/i1k1BnqjMP2nhz5xQFgvrxcgCIzvcwdgR47rsN2UVf+9rXumSoS6VuqRFJlvCJT3wCf/VXf6V7DSdPncQP7/shXC4Xjt18DL/127+F6en+bnCzYnW73e6SoU6vpeHxbGyeBn++VRnq//zP/8QTbnqC9j4j56ZTxNAddNvKWXf+jZmrm0whwhHE5mK2jtGsNPu6iMcPjBvOVO49f/pSGpVMBS6fS+vi9kV9mDg0MVQh1h1gc0EMexmMRo+C7UfuoBuRyQgCiYC1WQaKgvxSnvUfmdQCxKaISrYyNL33cRURAN0bpt7g93K6bDj8oXfO8X/8NtNtd6opBJNqcecxzW6wzgfeiDsM9AvOWS0A29qEB3D9O/P+A/sC6tZ6CAB7xmhYmH1XQI9X3PFA6slQd65902+9CXfeeSfuuOMO3eM+7SlPQygUYjLUBw5gcXFRdx2F/vkBdMlQU4UiGGAy1GawKkN98cLFrvfpOSOyJHd58cMWiWu5WldOPjIZsSWJQCnrC+g0mqHxkKXrUY1Aca0IqjDKtMvnYkbg8HBGANjMOvSC8Cx1N8gr94a9CI4GLUW3tVwNK4+uoJarWSoImxWiB+HxFxG4zCOC8HiYTfPqgdPt7OtwnAx7cHDEiyvljQ94i6whoLvxyyyFIovyZjetgeqoiq6IYAC9z+rm3tlDQAgZOPZSfTg4njNNocmi3EV1NWUM3fVnaHfc3IJPADFhzIi1zXSgmcYQYNxM1itD/exnP5vJUAN415+9C9lsFn/7t39reExB2Px7HLwDksTuwT4ZapNGxc7+l75eA4MNxKoMdae+EOfgdI9XzXQ0kQ1ZJO7tG+AcHKIz9tRAC8sFNMtNTWPH5XdZmjTWaQS01xQKf9zP8vFbYF1xPIfxA+NYfHhR+w4dLodhk5tdUEpRzVaRW8xZUjQghCA4FkR0OjpU1Kbi8RcRCOYRQXgirPuBGU0cumUsgPOl5sB+AsuGoOM4VucQDPKiuqijJh62LHUMwCDmx+00GE6veS2hNxowrTt0djWbDMQBoKvMabi0p+lqYFexQWqoV4b64YcfBlUo/uEf/wHf/H/fxL/8878YbiS0f8qMBiMZagDgelJYnTLUVKaoVCqQJMl2/0CvDPXKygrWk5vMGyND2ZkW8kXNZUWM0Kw0mbzGRs9FbCZmq9hcL9WRuZrRZFZ8MR8mDg725CmlSF1MdRkBgEmujMyNbJl6C7D00MjcCKuvODnLRsAX9en2CwEbxflUGQsPLvRNNGvVWn17lmpYdz5xpzXW0wD8zEUEhCNI7Elg5WRHsY8YN3vdPObHPz6WwqlCE/tMzmvVEHQpSJp4zl31AZMeAsC6ZERXNKDDFOlEpyqmrfrAoLV1a9cK9KdvTMNpm0bDaOBQrwz133zgbwAAb/rtN2FmegZPevKTAAAvfelL8cd//MeG19D72fbKUJeKpY7F3YfplKGu1+twu9z46pe+atsQ9MlQ+/z4u7/9OyTizKvWu0+pQrWZ1s1Kc+i0UHY+y4gTPAd/3G+oxKsHqS0heSap/Uw4gvjO+MB7SzUCpWSp6/WRHSOIzdqrTQw6D+EJKCioqJ8KcgVciExE4HQ74XA52IAog8+7tF5Cfimv26SmQv3uHS4HIlMRhMfDQ+tN6R7/8SJDrUIWZSTPJSG1JbgDboztG9Ndt3BiQesAdAfdmL1xVndd8moGT/zIAwCAi+94lmEqI3M1w7owCZN1NvK2c0s5VNIVNqxk76ghG6herGP9wjp4B4/gWNCUGqYKZzndTtMiWLPaxMrJFThcDvhjflNhutJ6CZmrGTgEduOZ8b6La0XkFnLgBR7R6ajp5lHJVJC+lAYv8AiNh/r+rk4ZakVW0G60Gb3SwZlGMJQySWeVCjqoW1k1SIQQ0/Gbdo4rS2w6mtXrVVlLZkJ6aiqHcAQOl8O2JEMnJFHS9Kt6ZaxlSca5c+cwHhzX6J7uoBszN9ijegKMcbRyatPRMpMj7wWlFCunVro6mntl4o1QWCn0pX1Hdo4gNrN9RqBVayF1IWUodeEOuk2f6040q00UV4oorZfMFxIgNBaCJ+xBMK7flGoFPxMy1Cp4Jw9ZlNGqtkw982AiiEwlo73HCELHMQalfJqVJghHTDcAuSVv5v5MZqlKLYnR0yBiZKfxhg2wIpEiKXB6nANrCep81EH52na9DbktQ27LAx/idr3NBnq0pS7Wle7axubageqOHfRKK8U1Iyqm4bEBEId5pNF5XEsidhavlxDC0iYD9nX1OlWDsRUYMdtUEUBFUrokHLxhr+1Nh9Lu2bnB0aBlIwAwVl+nEbBaHC4lS0hfTndp9m+3Ecgt5pBbyOkWi3knj8SehCXWTqvaQnYhqxXkHW6Hrvw04QjC42FEpiNbnj0xCI87QwCwlEOz0jQNtTpvTj3eb6vWQnGtiEa5gZfOhvCFxRLuf2ABe8aCiO+Kaw96YbWASrqymR6hwPr5dXgjXt0bWB1czznM5ZStdhV3FnUHMoYsFoq71hLrxx1UVAZgT3XUooAcYMwC2upas3RP31Ib12sFnXWPrSqOUkq7DUFHWsHouPmlPKS2hPH945bPU06VtbQiIcRUOr0XtUKta4Sl1eJwaX1zKFWz3IQn5IE/5rddnDaCLMrIXMmg3Wjr0n5HdoywgfYDvvNWtYXcYq5PusMhdBsCjucQngwjMhXZ0lxoO3h8GoKNzUhVudRVAu3wRvX00HOLOa2J5SVzYXxhsYRvX8xiRJIRGg9p7y+uFLty5JSynF85VdblCqusod4ZCL3ovDHMegis1geA/hqBlbWDagmda81SLL1rB0lLADY3dztGw6LqqO1rsGNgLGBYmWw99Naweq/P6PiVdAVj+8ascd7l7ogiPBm2TA9WFPZe1aPneM4S17+0XuqSnlB7Faz0GVhBNVdF6kIKUpsV63mB155hb9iL0X2jA5+lVq2F3EK/AVDRLDfhcDmgyAoiUxFEJiNDd3EPi8e1IQBgKATV6RHpikiN+DVDkPA4sSsg4IeZGl5zeLTLmw4kArqzBPwjft2HR40IBm2CakTAO3nL1FGrm7tR4UqFyrsGBkcOiqJokZcV5oJ6vXraNnrXoeKaRQTbaDTsRA9WYFWUzgq6DIFOkdHob0vsMpZA6UU5VdYIGpyDs1WgzVzOaCkdT9iDyFRk4P2sZwQmD09uixGQRRnpK+muka5UoXA42Yad2J1AaCw0UH8scyXTx2DqhTfiRXgiDF/EZ7kArM4z366I4fFvCBr6hkAt6CmS0sVrVxGIB5D3b+p53Jbw4VNXCiDxbi8/PBlGfjnfJylslNdXvYlBFl/dXAf2BdgZMlO3trmLTVHb1AautTiMBmAPhsqaGvSQAx2b8AC5CHbwjv8f9CyZcPj7lg5jjKxcrwV09hBsOSIY1Pmuc3irQ9sB9l0VV4tw+VyglCI0FrLs1ZbT5a7NMjweRmDEvHfB0AjYGFNphM4ooBOEMJnu0ETINKJXmUC5xZzp8+uNeBGbi9kaO0kp1WoVAJtZEN8Vt/x+Izzu+giA7s2zVx65EyoDQ69GQAjpYtU8MeGDAuDrS90Vfofg6KsFhCfCuhsdpVTj8Q+y5GpqaBB1VEshDegLUCRF8wrNitSAvVqCHUNgJ43Vmx8fBFvpnmuQRuocdLNt08M6fQuTGQgDD7MxilIdmKRLY+zJfU8cmrClEFpeL2t6UyrF0Qra9baW3weMi8PVXBWLJxZRWCmgUWogu7iZgiJke4yALMlInk9i9fRqnxFwB9yYvWkWsdmYoRGglKKcLmP+wXmkLqYgtSQ0So0+Y+ANezF9wzSmj03bnj2cX8p31VHyy3ksPLRgqG9kFY9bQ+CL+cAL5mkVX8wHwSsYbra+qE/b3HYH2eb5Z/9xvm9ddLqjKEVgGhILPgFOj3OgbK7D5YDD7YA/6jddN7pvFLtu34XZ47OWNkyHywFfbMADs3EYp9tpOcy2slZNbzhcjoEPbafaJs9b8Cw31hp1y+qttVKAVa/j/R98P+qN+sB1+w7vQ76Y7/v9n/zJn+A973nP4L+jA5oh5O0XijvPp8gKqMwMq5GX3imRMrpv1FY3cW9tIL4zbuleVGQFq2dWtXMbFYc14bhKE+nLaY0u7XA7mBE4snUjIDZFJM8lUc1Vu15XHcKZ4zOGkjCUUs1QJc8m+4To1M9cMwA3TNue0wwAxWRRdzBPq9pCJatff7CKx2VqSB1ELrdlXXVAFRzHoV1vG9LbCCHwRX1o19vgCIFX4FFvyyg3RQQ7rHynJ8w7+cG6/dS8AEyVzTTOoNQQIWxOwKAIo1VnKS6pJQ2mg3YM0h40B1q9TiM57661GxGB1LJAHe1o+jLbVGRFxndXv4vH1h/D3tBe3DGlrwHUdewNmqeVFI56He//wPtx96/cDZ9Pf8Pput5tigg6lVE7j6nKdKgTsQadb1B9oLdGFh4P27rOwkpB86Dt0EVTl1LavWZWHG7X2t0MQMoMFxG2bgQoZR296UtpKLLCxkyKG/1FATfG9o+Z3qv1Yl1rntMD4ZiEfHxXfKjNX73G/FLedDpbKVmyPeOhE4/LiADY3JzVDVAPasHWTNCpcyrXJ371NgDAN8+kDNebRSCKpGzqk5hs3J1h6aDUkFWoG/agoTHA5mdmpfhrte4AbKaROAc38Bqs5OZlRcavf/PX8fv3/j4+fPbDeNsDb8Mb7n0DZGWAQJfJht0rQ/2Zz34GH/jgB7CWXMPTnvY0PO1pTwMAvP71r8fNN9+MQ4cO4R3veEdXauX/vvf/4tZbb8Wtt96Ky5cv953jypUruOuuu3DTTTfhjjvuwPnz/VHmO97xDtzz+nvw7Oc9G/sP7sf73vc+7Xfvfe97cfym4zh2/Bj+8i//Unv9Xe96F/bt24dnPvOZuHDhgvb6pYuX8MKXvBC333k7nvKUp/Sdr7NGltg7mK7ZCaktIb/EIqDedKoZ6qV6l5M2tn/MsG5k5O26/e6+QU92ILUlrJ1Zw/r5dc1Ytips/ogWBRgYAbXnYv3Cur4RIEBoIoSdt+1EYldiKCOgKApySzlcuu+SqREAmNy3GV1+EB6XEQGwuTF1ere9UDcjPU0iFZ7gZgrnxpkwJsMefOnkGn7+pqnu8/kEtGtt0w5gqzpDXdpBNtQazaB+Dtu9uWvsIgvF307G0CBYyc1/d/W7OJ09jbrEUjYNuYHTudP47up38ZTppww8tp6B6ZWhTq+mEQwG8dcf+Gt85zvfwcgI2+je9a53IRqNQpZlPOMZz8Cpk6ewf/d+AEAoFMIDDzyAj3/84/jt3/5tfPnLX+46xz333IMPfehD2LNnD+6//378xm/8Br797W/3XCRw4eIFfP0rX0dTbOLg4YN4/etfj1OnTuEfP/6PuPfb94JwBHc87Q489alPhaIo+NSnPoVHHnkEkiThxhtvxE033QSqULzhTW/AX//FX2PfgX14+OTDfefrvC/tzh3ILea0TTQyZa3xSRZlJM8mtejUG/GapqJ6ZxFor2cqiJQjA9Oseqhmq1i/sN7nBAZHg0jsSRh2cKuF4OxCFnJb1k0XBRIBjOwYsXSf60FqS8hcyaCcLvdJp5ihXqwPHRVcU0NACLkLwF+B9U9+lFL67p7fhwD8E4CZjWt5D6X0H7bj3JohaLQNewlUr9wsIujdhH7u2AT+9r6ryFVbiOncBGb0L5U6quayDddtUPAcgmNbaIiA9c2dUrppNAYMjbFzXABoNzf7DQahl4Wlh3P5c2hI3d5YU2rifP68JUOgd9wjR47gzW9+M97ylrfgBS94AW654RbdY3zmM5/BRz7yEUiShGQyibNnzmqG4JWveiUA4FWvehV+53d+p+t91WoV3//+9/Hyl79ce63V6o9aKaV47nOeC5fLhUA0gEQigVQqhfvuuw8vfMEL4fOxGthLX/pS3HfffVAUBS95yUvg9TLPU51eViqW8MP7f4hf/KVf1OoYnedTZGVT5ZY3V7nthSzJ7PvfqONEZwc3cFFKmQTMxj0u+ATEdxqzXirZShd5oRMOwWG741aWZGQuZ/pkHXgnj9G9xrURSilq+RprLOu4nla1pTmBqmyLmby8EdTjl5KlLglwqyAc2dJM6WtmCAghPIAPAHgWgBUADxJCvkQpPdux7A0AzlJKf44QEgdwgRDyz5RSYzfeIrSNifbMXu2A6pXLbdlQFqDzNUopXnhsAh/6ryv4b3/3AL76W5v5aLXgZcb37qSOmqp5bkQE25UWAqxv2HJbtswuUuUqrBwXGC4iMBObOxA9AI/Do0UEAOB2uLE/ut/8uCapoV4Z6qc/5en4w7f+YZfRmJ+fx3ve8x48+OCDiEQiuPvuu9Fobhqkznug9xyKoiAcDuPRRx81vEb1OgW3oB2D53lIkmTaW2DUtxIOhXH/9+6Hy+/qv56O+oFdZlJhuYB6oa7JK1jRQcov57XRjoJPwOieUcO1UktC8myy73W1a98/4relvSS1JGSuZrrUVQHAH/NjdN+oYbq2WWkicyWDerGfLEAIgT/qh3+vf6jIRGyIKK2XUFovbUnK2hPybKk2dS1rBLcCuEwpvbqxsX8KwIt61lAAAcL+Aj+APIBtEfbmeI55C6RbrqET6hdPKTUc/tzlkSvAgXHmMZxNdt9MKufb7GFSU1CD8uPquu3SF+lMswykjjbb2udipd/A6tpOeqWlv8tCofjJk0/GkZEj8Dg8ICDw8B4cHTmKJ08+efDxob9xdspQ/+7/+F08cvIRAEDAH0ClwlIU5XIZPp8PoVAIqVQK//Ef/9EVwn/mM58BAHz605/WlD9VBINB7NixA5/97GfZn0kpTp48qX99G3OVO6/zyU9+Mv79K/+Oer2OerOOL37xi7jjjjtw55134otf/CIajQYqlQr+/d//HQAQHYlibsccvvjvXwQhpO98nbMJ7DStSS0J+WVWG3D5XZY0durFOrJXWa6bcMRUVloWZcw/ON9l+MJTYex64i5MH5tmfQo2jEAlW8HCgwsop8qaHhbHcxjbN4aJwxO6RkCRFaydXcPiiUVdIxBIBLDjth2I74rbNgJiS0R2IYur919FbjFnyQg4XI6+aJoQAqfXaWpQreBapoYmASx3/LwC4LaeNe8H8CUAawACAF5BKe3bkQkh9wC4BwBmZmYsX8DM8RnmfRtsJrzAwxPyoFltGq5xCA4IXkGTniWE4PVP3YUP/ucVnF8vY/8YewBcPhdatF83vPd8hCPwha1RJ7erTZ4qFGJTBMdz8ITNb1iqUEhtCZ6wZ3BBl7K1Lr9rIGMI2DRwnoj1h8YsVcFzPD78rA/j3uV7cTZ9FvvC+/DUnU8Fz1nbIPSMdq8M9Qc/+EG4/C782j2/huc+97kYHx/Hd77zHRw/fhyHDh3Czp078aQnPUmLGAgIWq0WbrvtNiiKgk9+8pN95/jnf/5nvP71r8c73/lOiKKIV77ylTh27Fj3IgpQ0L4U4g1Hb8BrfvE1uONpd4BwBK997Wtx/PhxAMArXvEK3HDDDZidndUmqHE8h3/5l3/B61//erz7/7y763xU2XSA7EoaZxey2iZtltpRIbW7vfuxfcZsHEVRsHxyeZMbT4Cpo1NDPQ+KrCB9JY3S2mYqqFVtwR/3I7EzoZumVKeDpa+kdZ8Bb9iL+K64LTE99bj1Yh3F1SKq2arW12E21czlcyEyE0FgJKDbpaxOB2yUB88VN8M1k6EmhLwcwHMopa/d+Pm/AbiVUvqmjjUvA/AkAP8DwC4A3wRwjFJa1jkkgMEy1HaxfHIZ9UIdO5+w09BTvfKDK5BFGXvv3AsAyNfaeML//n949W0z+JMXHgIALJ5YRLPSxO4n7TbcQItrRaQuphCbjZmyK1YfW0U1W2UNJ1tgRahoVptYfGgRLr8LczfPma4trBaQvpRGaCKEsb36Et4q1O5Of9yPyUOTpmtlUcbl710G4Qj23LHHMIxVZahV+WWHazA1VpYYTZhwxBItVVN/1UmVDAuxJUJuy+Ac3NBFwk60NqatOdyOrgYmsSlCkZXNiHcLkNqS5om6/C6cP39ekwAfdG0LDy4AYMVVdaC7GcqpMpLnmCEIjYcM5eGpQrF2dm0zT06AmRtmhkq7NKtNJM8mu3L6vJPH+P5xw16aVq2F9OW0poDaqS0keAXEd8Xhi/ps3TeyKKOcKqO4WuxrcPWEPH2sI0/Yg9BYCIF4ABzPsUa3s0ktpaYHf8yPySPmz+CPS4Z6BUDn1O4pMM+/E78M4N2UWaPLhJB5APsBPHANr6sL6sMkNkXDB4vjOEiKpNURoj4Bdx0ew+dPrOCtz90Pt5Pv4nwbQc2nD0wNtax1FVuFrYLuRqHYLIVUXCuiXW9rKpMcz2mbkxE6JTOsPETDdBVbOu42Oz5SW+ryrKnCZk1zTnuplk50dlX3Ti9Ti7vEuXUDpt6PlprwOqAOpLdDFw2OBsE7eeSX84aKopRSJM8nNSPAOTnM3jhr27CqcheZK5mu79sX9WFs/5iuYyGLMnILORRWC92vt2X4R/zwRX1MW8gGeaNZaaK4WmRz0k0G2gPM4ITGQgiNhTap77UWsvNZS8Xjaq4KWZKHnldxLQ3BgwD2EEJ2AFgF8EoAr+5ZswTgGQDuI4SMAtgH4Oo1vKY+qPRMsxydmkKgCtX+/yU3TuJLJ9fw5P/zHTz09mdu3nAmz75VQ6AViy2kW6zAliGwsDa/nO/igJfXyyivl021aaxqJ6mwJdegPmNWnlGDyWTDgFLad9+oqTWe8uDcwxsC7Ro7Nh67shtm6GQL2VG6bJQaqOWYZxqeCtuKSnxRn2HzF6UUqQspjSrKO3lM3zBt3wgoFNn5rFa/ANj3HN8VR3gy3PedU0pRSpaQnc/2sQcdLgcSuxLwx/UFJM3QKDew9PCS6RqHy4HgWBBuv5tFGRyBIinaoCczWrse6sX6QI0mw2sZ6l0WQCmVCCFvBPB1MPro31NKzxBCXrfx+w8B+F8APkYIOQ32GL+FUmreObHNUL1us2YM1dPt9Hrv2M08oWy1ZVlnRm3cMXvwFFmBLMpMHmMb5qsC1rx8ba0FQ+CP+VFYKfS9bpbCscOEUpTNxjs7Xv52rx2ETuHCXmxFRtiIOttpILZ6b2hNZITd31YjpcJqAe6AG1Sh2zr0pbRWQq3IDAzn4DB1bGpgmq8XYlPE2tk1NCtNCF4B7XobglfA+MFx3YlhUktC8nyyaxAOwIxsdCaK6HR06GFA7oBbu4ZeeCNeRCYj8MVYiklRFFTzVVRSFVRzVdOagRHCk4OF+sxwTfsIKKVfBfDVntc+1PH/awCefS2vYRDUiMCIWQR0GwIVDp7DO198GG//18dw/3wecYUOlCywEhGoHuZ2NZIBHZv7gL4AWZI13XWzaCSQCPQZguBY0LTV32pE4Ha7kcvl4Hf5N/WGBmEYaYdt0oVzCA60pe6HnXPY4+P3wmgYjaYHRLYeEdCN+1VNJeRyObjd5sXPZqWpeewThya2TTO/kq4gdSkFzsHB5XdZHvXYiWq2iuT5pGaUqUIRngwjvjPe911QhaK4xnR7ep+JQCKA+M74lusvhBCEJ8NIX2KjMzkHh9B4COHxsOZk1Yt1lFNlVDKVLYvG2RWv68XjtrPYKlQPVS0I6UF96Hoppi+7aQrv/eZFfPS+q3jrHmtqiyADDIEoMe2gbewh4BycLvWs79wbGkCD+hzcAXfXeD1e4JHYNUCagDLjNugBm5qawtLiEtarTJHSSnpMFmUoigKe5weyXxSZyY6rGk3bAbVOoGKrjYCqUizhSNe9Ikvy5vziLVx7Z0rL4WLCbW63G1NTU6bv65xl7B8xF0O0ilq+hrVzrHRIOILxg+OWIlcVVKHIzGdQWN50TASPgIlDE7qNXY1yA6mLKY0w0Cyz6IFwBIndw0lBGCE4GkQlU+kq/FKFCdSV18uQRAmNor5GUScIISAOAk/IA7EmdhWcOQcHd9A9kA04CD/zhsDpdkLwCabhmCfoQTVb7Xv43E4eL79pCh++9yruCLvxlEnz0GzqyJSlEFxqSwMpplZBFYpGucGGXgxIJyiSglatNXCgCCEE/pgfxdUiAGB8//jgArgoQWyJAz0Xp9OJmakZXP3hVcZGOmDOhACA9YvrKK2VMHN8MLukXqhj+eQywhNhjO7dGvdaRaPUwNIjLB8cSAQwcXBiS8dLX06jsFLA6N5RhCfC2uurZ1ZRLVURnYlaomwaIb+cRyadYWqYB6cHvwHsc1NZK/Gd8W1JrTVKDaw+tgpQtqFNH522ZQS0VNDGQBuAff5je8f6HAJZlJGZz3TRSAHGlorvjMMb8W6ffPgGeAePmRsY3b1Va7FaWqqs5f7NOpA5noMrwPozgmNBgAJrZ9b6WEeKpKCeZ9/NVkTnfuYNASEEgkdAs9I0XKPeVLIo9xmDl20Ygnf8YAn/+bJDls5nhu1mDKlDZmzpBtngI6sKrYPQyY4YBK2WYpEBoaZMbM0t2MZnvtP4BMeGb/NX0emtd4IqbCLVVr1WNb0TSFjLKVNKNaaQL+rbFq+5VW1h5fSKJv8ydWTKljRDvVjH6mOrWkqFcASJPf1Tw1R10cyVTFcxmOM5jOwYQXgivG0yLr2QRRmVdAWl9ZLu/tKqtrpqTBzPwR/3I5gIwhv2atfVqrWw+tiqqZJyLXfdEGwZLp8L1WwViqTophY0KQodTaI9owH8ws1T+NyJFSxVWpjb4rUYbQLDHKfdaG/KOthhDFlgaqgG0Rs13hQ0zj5hA3R4J6/JP+uu32h8U8N29e8w+iwUWWET5ja+F7Epgnfy5umnbZaKVkF4AipT27ltFaoGjqIoWhdrvVDvMrTteltr4BsW7UabbUoElmcOVLNVbSMzmrxn9xqWT200jBFg8vCkrT6BSrqC9OU0OI6DAgVOjxMThyZACEF2PovIZITNAN5QCO2lhAbiASR2J7aNlaeH9fPrKKfKAzMA7oAbnINDMMFqbFo9UlFQXCmimCyaCmeqqBVqhppqVnDdEKBbsrpTbVSFmSEAgN+/az++9MgqPn42gzuftm9L16Lm3bdaLE5dSnXxj3OLOdTyNSR2Jww3SjUi6JTeHgQztdV6vo6V0ytdr1289yJ8MR+mjvTno9cvrHfpwJSSJZSSJST2JPrOI0syrv7galfdZu0MyzXvun2XYQ6dYpuniG3AITggNsShi8RSS+oTQiusFLQUkdPtZE1zPNlSkVaNBnwRn+XjqMNagqPBoQ2dCkVWNOVOAJg4MGF5ngClG9TQDdlrp8eppYIIRzD/4DzEhohavoaR2RGkLqc0Bp7cluH0MCmG7RhnaeVajYwA7+QRHA0iNBbqMupUYR3NhbWCRtG1CkVS0Cg3ho7WrhsCbLJp2rX2UIZgxO/CLWMBfGu5hI99bx53P2nH0NcitliHrN2W/16odQ0VUktCtcXyy0aGQKwzj9pKSsYKC8gddGv6Np0wOr7L7wJ0Rj3o5Y3VoSxKo7uA7/Q4DTe4pijjXKqCx1JVlEttlM5mkKu1kK+1UWlKuoq/Ak+QCLiRCLowGnRjIuzBgbEAdoz44OjY9LfK7xe8Alx+V1c0BLDIMHVx80OhMsXl711GeCI8VJ3AblqoXqyjvF6G0+NEbMfW6KJaw1imClfAhdB4yPJ1yKKMtbNrmx2/Dr5rUy+sFrTot1VtYfXMqvZewSPAO+5FdGZ4OqhdBMeC3eJ2hNGuQ2MhrWcAYBt4LV9DJVtBLVcz1DwbhMmj9qKqXlw3BNhMhRgNsRlkCADgNQfiuG+1jPd9+zJ+6fa5oT1ONRWyVY81kAhoeV0VofGQrqEDNuSnG8bT2nqhPnRmhoB38giOBVFKbnq6hCOG6YXwRJjp23dQ6bxhr67MBuEI4jviWDvb3awenY6CEIJKU8TDS0U8tlrCuWQZ59cruJqpopMT4BV4xAMuRLwCAm4HOJ3PvCXJOLdexn9dbKHa0TzmcnDYPxbArTuieNLuEYy0ZTgtTDwzgko3TF3otoTRmahGQVShSIppvtgIkigxlknAnPUjNkWmfuoRkF1gTKHQWEhTQx0WmSsZVDPMOYlORS3LJjcrTaydWdOcD5ffhclDkxoLTpGUrjm+nQiNhxDfGd82qqtVeMNeOFwO8E7WMax2Vqto1VrIXM2gnq9vudud4zl4g1srdl83BGAfpDvoNtzoeQejJZpZ60MJP37z+Dje90gS/+9cGs88OBwjZWCO2yKcbicbu1dhxk3tkjSCIitw+92aMqOV6/RGvAM94MhkpMsQxGZihmkvjucQnYlqCpUATCUM/HG/5kWX2zJOlVpYKq3gwYXTOL9e1jb9qYgH+8eCeN7hMUx7nQjUmtizI4qde0ZtPTzVloSVQh1n18o4u1bG6dUS/vH7i/jb++bh5AhuGfXjleEAnnkgAe8Q9M5gIsjqBBv3WXgijPBEGPnFfFeXKeFYp6xd1PN1NEoNhCfCplHf6ulVtGotuINuNMtN8E7eNAVoBfnlvNZ7Et8Zt2wEyqky1i+saxFXcDSI0b2jXZ59drG/Kxhg92h8V3xo2YWtgBCCuZvnujZ/sSmikq6gnC6jVW3B6XZaMgJOjxMOlwPekBfEQSA2RLTrbYh1lioMJAJbNibXDcEGvGGvoagT4YimQGoEXuDx0n1xfHGxiNd+/CGc+pNnd801top2vW05XB6EYCKITIVFBeMHx03TTbIoo1FuIDwZtnTsZrVpKXpw+V1MmbXGGBKRafMNJTwRRm4hB6pQeEIew3BXUSjOJsv4eqqG/3d6HeeLTSgAPE4ex2fCeNPT9+CWuSiOToe6vodmpYnFE4uI+uwLzvldDuwfC2L/WBAvvZG91mjLeGAhjy/fdwXfWS7hNz/5CLwCjxfdMIlfedIc9oxa/y45noM36mVeM2FGkBCC4FhQy4sDGLrhqZJhaaFBPQCqIVJpmZyDQ7PSHFoAsZxmrB2AdcAOugc6r0NTOSVAYleiTyaisFro6iHohCzKaBQbpn9vrcCGzQRHg4hOs8E6jXIDvJPfsngg7+QhtSRUMmzz76S5Asw501M0cLgc8Ea88Ia8CCQCXUaPKhTNShO1Qg11Wkej3EB+MQ/BI1xnDW0HvCEv8kt5Q+Emp9tpLkPBceBA8Yu3zeLd/3Ee93z8IXzqnicarjeC1Ja2rdFJLUQ53c6B/H27WkByu59KawSH24FWrcV6GQbkaNXoS27LfVRMSVZw/3weXzmdxDfPppDZiHb2Bl145a4IXvyMvTg+G4XT5Bx6XeJbgUfg8ZS9ccxV6/i1/TEUxqP4/MMr+MLDK/jkA0u4Y88IfusZe3Dz3ODpXcCmyBwhm0Xh4OimIXD5XJaNdScUmeWiOQc3sKDYG+WJDRHLJ5ex47YdtjfHerGO9XOsOdA/4kdid8KyAeZ4DpOHJrH62CrG9o91XTelFKunV/WdN8LuY0/QY9poJTZFrJ1ZgyIpyFQz4BwcKukK6oU6gmNBjO8frKqqB1mUUclU2LF05hio6NSpErwC/CN+BEYCcAU2nRRKKVq1FuqFOvtXrOveu/XC8GMqgeuGQIM7xLzbZrmpyyoQPILGntCDSh983VN24d6LGTwwn8e5ZBkHxq3zyhWJCYFZ4dpbgdpAZmWEoB1DoHa+WjUEvrCP8ZzHrd2ogXgAxdUivCEvJFnBD67m8NXTSXz9TAr5WhseJ4+n70/g6fsTuHNvHKXHliG3ZOyzQG3UDMEWW/r7jstxIBS4bWcMt+2M4S137ccnH1jCx76/iJd96Ad4+v4Efu85+wbeD56wB+V0ueuz6tTcGds/NlQuuF6ogyoUgXhgcEFb59eBRMB2FKIOtqeUwhP0YPzAuO1rd/ld2HHrjq5rbjfaSJ5Jolltdq2LzkTh9ruZwu2Av1Edmdl5H3TWZ8qpMkZmRyyNVe1FvVDvKvDrgXfy8Ea9cLqd8Mf8fbpKUltCLV9DNVfV6iqDzmk0ZdEKrhuCDfAOHi6/C/ViXdcQWIkI1CllH3j1jbjpnd/Ec//qPjz2P58Dv0W+sjrTeLsiAvV6rQz0UPX8rRghNV9tlYetKrZafaicLicWKi186psX8aVTSeRqbfgEHs84MIrnHRnDU/Ym4Om4TjnmR2mtZOlBUNNj2xURqOgdMBLzu/DGp+/Brzx5Bz72/QV86D+v4Pnvuw///Ylz+N1n70VgwKZqlBKzOwxFRSVrLS0EoG9gemJ3f0pm4CEUirUza2iUGgjEA315fTtQN3W1OSx9Ka19f7yTx8ThCdtaO7nFXN8cAO18hCA0bk9yuhO+mE9zDDvBOTgE4gEEEgGW7+9Rlm1VWqjmq6jlalrfhlUmkNSW0K63bQv1qbhuCDqgNyRChdPt1JqX9BgInV98xCfgNU+Yxcd/sIi3fv4U3v/qGy2dX9tgt9EQDBKQ61xrdVaANnLTYuSiTcEasBGUmyL+/eQa/uV78ziTrsHJEzzr4ChedMMknrI3DrcB80PT7DdpVlNhpBu1VaiGoNcYeQUHfuOpu/GLt87i/37zAv7xBwv46ukk/teLD+M5h/qHsxh1VROODBQNNAJVKGrZGpuOZ4FDrzYWcjyHySOTtrnplFKkLqbQKDXgdDsxund0y6wdWZSxfmG9a2DNyI4RjSVmB5n5DPKLed3fOVwOzN44u6VmM47n4I/5UUlX2P+P+BFIBOCL+Lo2f1mUUSvUUMvVUMvXdAveeuqlnRB8AnwRH7wR75ZIJtcNQQc8IQ9KyRIURenT5VG9WbV7tRedEQEA/OmLDqPWkvH5h1fw4htSllhE2nD7bUoNtRtty5u72WCeXmjdzxYNlhp+69VeFIXih/M5fPahFXz1dBItScHuqBev2z+CX33xUcQtiGlpHqOFzkpCCBuks92poQ0j1zmzohMhrxN/+qLD+Pkbp/AHXziNX//ECbzq1mn80QsOdjGMFHHT09Ve20gZDvugt5ttRuWNBQca404tm7lb5oY6Z2GlgNJ6STMkWzUCrWoLyyeXtY1S8AoYPzBuOzqqF+tInkuazh7ZygD5TkSmIgjEA13dwgAzks1KE7VsDbklfcprJ2RR7hN4dLgc4HkekekI/LHtEf+7bgg64A154Y/5mdSE0P3AOFxsdrHRsAjOyfXRIt/1ksP4/MMreO3HH8K3f/cp2Bk3/9KownKp29X0wnGcZaaHw+WwHFZSMEaP1e5nzsFmJXdu0qvFBj5/YgWfPbGM5XwDAbcDL795Cr9w8zSmCUsBxALWrsfhcjCNfIsUOnfIDc65vY1FTrfT0jUcmw7jX9/wJLz3mxfx4Xuv4P75PD70mpuwd4NdxDt5eILd86LVe84pDGcI6oU62o024uHBlFO1KD2yc2QoI1DL1TSG0PjB8aFTFSrKaUYfdfvdjPpqIC1tBrEpIreY66IxG8EXtd5xbYbOfh2qsFnF1WwV1WwVUluydP2EEHjCHqb2u3GPZ65ktKxFo9zA3C1zAGUGYis02euGoAMOlwMTh/SVIwkhcHqM6wQur6tPGdDt5PE3v3gjfuOfH8Yvf+xB/NsbnoSwieYPpRSKomyb/IHK1LECoyK5HqhC0a63rXc/Uyad0ZJkfPNsCp9+cBnfvZwFpcCTdsfw5mfvw3MOjWmpn0q60ke1M4PD5UCz0rQ80IPjOEv6LXbAC7zlaxAcHN763P24c88IfuvTj+IlH/ge/uqVx/HMg6OQJVmjL6qQ2hKcbufQ6YpavgYQDEzxSC0J5fUyHC4HolPWWE6daNVaWoNffFd8S96qoihsWPuGwq0iK5g8Ogl/1Pox1WJ1cbXYN/UtNMlmAzicjs25D1toCOy7/g2WVjVbRTVX7YtAFVnRaNWdcLgc8MV88Ef98Ea8msEQmyJWTq10pYqoQrHw0AKoTE2nA1rBdUNgA56gh21QOsrIqshV7+ze5x0Zx2df90T84t/ej3s+cQKf+NVb4TKw3IPm/tqFmWBbJyilLAR1WrsdqExtXeeFbA2fObmO73zjMop1ERMhN9709D14+U1TmNYRrVO9dVmSLZ2nc+60lb9X8AqGtaBh0Tny1GrK7PbdI/jSG5+Eez5+Ar/2iYfwe8/Zh5dNM1ZR74YkNkVbqrAqVG/UE/QMNNz5FcbwiU5HbRdK1bkAiqwgOBZEZGr4BjSV1qkWTPWayMwgSzIKywX293QUbJ1uJ2IzMQTGAts2/a8X7XobucUcKpnKQKeA8Mz4eEIe+KN++GI+NhtBRz21s0DeCfXva5Qa1w3BjwruoLtPGEwF7+SZymZb6uNa3zIXxZ+//Ch+61OP4nWfOIEPvuYm3cKnkfrpMKCUzc61ZAhkaou2qsiKbh68E8V6G//26Bo+89AyzqyV4eQI7joyjl+4eQq37xoBb7LRqCGuLMqW0k+aIWiJ8GBwTUHwCJBF2bDwPwzUz1lsirZy1+MhDz77uifi9z93Cv/f1y5g8dAo7p7q9nq1YvsQ90aj3ACV6cBoT5EVVDIVJolgkebbiczVDGrZGoJjbNMe1rOu5qoardNIWtoM9WIdxdWi1jwHsO9mZG4EwdHgNZGc7u0Y9oQ8xkZgIzLzj/jhDXnhcDv6UjqUUlSyFZTXy6gX633sIz1YGXBjhuuGwAbcATfEhqi7gagTr6RWvyEAgBfdMIlaS8YffpEVCj/83/qNwXZGBGqB0YohUGmrVjdFo+uUFYrvX8ni0w8u4xtnUmjLCg5NBPGWO3fgNg+PGy0qs6rXoRZOB4FzcCA8MaX3dkIt/LcbbXicW5vspB3TvRkR2IXbyeOvXnkDEgEXPvrdeeQKdXzwjj1wchufg0XWlR7UhqtBhqCarUJuyUjsSdg+TyVTQWGlAKfHicTuxFDedp+yqJtJS1vWvmqKyFzJMANAGJGBUorYbAyhidC2RwBSW9Kaxnqjy17PXWVr+Uf88Mf8us+Z2BTZ8J8CSyfZnVvcbrS31Ix63RDYAO/gWVqh3NDNfzpcDtON4NW3zYDngLd+4TT+29/djw+95ibEOmRotzMisMPsUdlKVm+i3tTQfLaGz59g3bRrpSZCHidedes0Xn7zNA5PhlBcK/YJ4JlBE/mTjEX+OkEIgdPl1JgVg6CmWMSGaCjCZxecgwPhiOnsazMQQvC25x8A32jjwydW8ZufehR//arjcPDclgxBvVgH7+QHzjAorBZAeGJZA0hFu9HG+vl1EI6wOcZDFCypQpG+nNYaxPwjfoztH7N0LEVWkF/KI7+c1zZPh8AigEA8sG3Pk3ou1fPvHXjfiXatzWQiwl74437djnpZlFEv1rXNfxgRQRUuvwuRyciWop3rhsAm1DqBniFwupwDPcJX3DIDr+DAmz97Ei/6wPfwd790C/aNMcaInW7dQVCH0Ft5ECRxY63FjUaRFdQlik8+sITPnVjBicUCOALcsSeOtz7vAJ59cLQ72iHoa1Iyg1q8M1N77cWghr9O8E4eHM8N5GjbgV1jZHSMXz0+AVpt4iOPreP3P3cK73n5sa4JVnZAKSvqD0qtNCtNNMtNRKYits6hyAqTaJAVjO6zP3AeYMZ+7QyTl+advOXmNUopKukKMlcz2jNHOILoTBTR6e2Vm5baEsqpMqrZqmltyRPyIJgIwh/36879VsfG1nI1tBvtLpn4rSAQDwyVzuvEdUNgE96o19AbcPldUOjgdMbPHZvAdNSLX/v4Q3jRB76Ltz//IH7xtpltHVpPKYU/5recW7XCGBJlBd+7nMWnvruA78zn0ZIpdsV9eOtz9+MlxycxaqBc6hAcllVNgc2ZyHbCY0/I0yU5MPD4cf+2N5V5o94t9yc4XU685oYJ+GdieO83L+L7V3L40quOArBvCNq1NhRJGRgNFNeKANA1H9kK0lfSaFVb2pAVu2g32lg9vYp2nXnQVsdVNqtNpC+luzblQCIwtBifHqhCUcvXUFovMWmZjVuxl+njDrgRSAQQiOtLcKhSEbVcDbVCTbs/LBX+CatnCT4B7gCb7VFYKXQ5my6/C8HR4JbTytcNgU34Y36kL6d10zjugFujuw3CDdNhfPlNT8abP3sSb//Xx/Ctcym86egodm7DzFuA3ch2PGqjSEaSFfzwah5fPrWGr51ZR7EuIiDweP7uGP77M/fh2NTgQp7T7dS0bqyGr4QnfdQ6M7gDbmQXspYfCMEjsOlnu42lue3C6XIin8pvSfMFHGOAvPFpe/CFh1ewkKvjT//zKn73cGJggb4XjTLbKM3SX7Ioo5wqwxf12WIlVbIVlNZKELzCUMXherGOtTNrkEUZ7qAbk4cnB0bDlFKUkiUU14raAB+X34XEnoRtiQkjqEPmS6mSljLtBOGZEnFwNIhAPND3manjWau5bqmIXqj0607HQZV21+sUVo1m73MqizKu3n8V4/vHbaf1OvG4MwTbqd6pB47n4I/6UclW+rwgd9CNxvmG5Y1gNOjGP/7yrfjHHyzgPV+/gFddzuI1N0zgN5/vM+03sAKjDlf9xeiSZmiKMn5wJYdvnUvha4+ta1o/zzw4ihccncBhNw+l3sLkdNjS4TtZPVbVK90BY4aWHtTNrlFuWOqd8EV9yM5n0W60tyw3rMIddEOWZIiN4aiewCZjisoU3/7dp+LFf/M9fPlCFjf4nHjtLfYm3zXLTfAO3lTjqbReAlWorWhAlmSkL6XhDXuHKi6X1ktIXUiBUspGTe4bG9zxXG8jdTGlqXn6Yj4ERgIIjgW3hftfL9SRmc8Y9q94Qh6ExkPwj/hNaxdSS8LiicXBJySA2+8G4Yi2+Qs+QTedVEqWkL6S1o2QVcPQKDWuGwIVlDKhK0/Ig9hc7JpxhYOjQeSWcn2GgHfw4J0843xb3Fw4juCXn7QDzzsyjnd85lH8/YlVfOaxFF7zhFn84m0zujx7K1DkfpkMM6RqIu794SK+cz6N71/JoikqTOXzQAI/d3QcT92X0PL+xdUiKhXrdDWO52x/Lq6AC60rLcsevjp5q16oWzIELr8LvINHLVtDw9mAy+caWtBNhfr+ZqU5vCHoKJQLTh6f+fUn4hUf+B7e+XASs4dTeJaNgUeNckMbF2qEZrUJl98FX8z6HN/MZZaXT+xO2O4cLq2VsH6RyVLH5mKIzcZMr48qFIXVArLzbC4BIQSxudhQvQ56x1YZT2JL7IsAHIIDwTGW9rL6fTrdTgheQbf+xDt51iwWY81iRgZFlmWUk2VUsqyx0kqKVI3+hsXjyhAQQjB9bBq5xRyWHl7C2L6xLT/cevCEPRAviLoNW2ox2a6XORp0453P2I27b5zEP53P4MP3XsGH772CJ+8ewV2Hx/D0/QmM25hJapaGURSKK5kqHljI48H5PB64msNamYXaM1EvXnnLDJ62P4HbdkR1+x0GTWvTgzp8HRb7jNx+N0BZqG6V2eMNe0313zsht2VwAof01TRA2SS1rd4rHM/B5XehUR7eO9PUUTdSBm4nj/e+YD+e8dEH8WsffwgPvO0ZSFi4TlmU0a63EUwYX0e70UYlVUF8d9yyV13NVVFaL2l5cTsorBSQvpyGO+hGZDIy8DNqVptIXUhtKnEGPRjdN7pl2QqpJaG4VkQxWeza/F1+F9q1NvwjfoTGQ2wC3xDRhi/m0wyBO+DWNn+XX38YkiIraJabqBfrqBVraJasd9WraFVbW2IdPq4MAbAxE3fHCPwxP9bPryMQDyA6s3XvoeschCAQD6CcLmtTjVR4gp6hwzTCEeyOePD+V9+IPyg28JkHl/GFR1bwti8+BgDYPxbA8ZkwDk6EMBfzYjbqw0hAANGR3Ky1RFTaEnKrJawWG1gtNHApXcG5ZAUXUxXUNx6AEb8Lx8cD+PldUbzoaXuxK+4bLOU8hGibHVaPeg7BK6BVsWcI8sv5gQ9E8nwS5fXyJpuJDNespQd3wG1LHqMXWjNdB3U25hXwrpvG8bYTSfzWJx/FJ371VjgGREmqOKI6Z0MP6iB7M2PRCVmUkbqQ0tg9dpBbzCE7nwUv8BjbN2a6mVNKkVvIMVE2yvLy8Z1xhCfsSWH3HrNZbqKwWmC9Bj1Otn/Ej+BoEN6wd8tNhqHREFw+F3xRn2GaWmUP1Yt15vVvYdSky+9CYGRr4yofd4ZAhTvoxsyNM8jOZ7H06NLAm88ugmNBJM8l+wyBO+hGYVV/dN4gEEI01tFk2IPfedZe/PYz9+BSuopvnUvhB1dy+MqpJD75wPJQxw97ndg/FsAv3DyNgxNB3DIXxVzMi0q6gmKyiJmENR0Xjh8yIrBhCICNTdUiEwjY1G5vlBumLCgt1N74D4E1mq2lawh6UFovDc3i0CKCjmY6whHcHPfhPS87ijd/7hT+4lsX8XvP2W96HHfAjV237zJdU06X4Y14LdfU0lfSkNoSJg5NWO856WgUc7gcmD42PTDNolGHKavljO4d3RIbqFluInUp1Ve45RwcwuNhhCfD28Y2AjbGs/awnzTV0XyNsQ7J1ruBVcR3xS1rihnhcWsIALZhJXYnNIZCeDK8Ja+iEy6fCyM7RvoKw4JX0GYX2N1cHG4HlHpPVyIh2DsawN7RAH7jqbuhKBTr5SYWc3Us5Wso1PU310a5ASeA3TtGMBn2YDzsRkynGAWwRjirSqIA68xVB29b/Sw9IQ/a6/Z4+/6Y31bBmOM5hCfChsOFVIwfGIfgEZBbZDLAFPa0k8zgiTC1yGalaVvHH9hQHw15IMubEYH6Gb/0hkl842wKH/jOFYgyxR8+74Dpscy+m1a1hXatbVlcrpqrorxetpUSopQ1ihVXi3B6nJg+Nm15wx3ZOQJP2MMmqg35vDZKDeQWc6jla12Gy+VzMZnonnnA2w2xIbJ5AwW2+XdG0Vbo1JyDpRqdLifcfjcURUFxrdjFHPJGvEzSYitMNTzODYEKb9iL2RtnUVgtYPnkMhK7EttSO9BrKiOEsLkGqRIik/aEtwSP0KWRogeOI5gIezAR9uCJu2KG68qpMhrlBkb3DC4uOl1OQ5qbHhwuB2tpb0mWH2xP2IO1s2u29H18MR/WL6yjWW1ablbyR/1YO7eG2GzM8CEnhKUPBa+A5LmkpYE2ViG4mbdbzVWHMgSEsAE3nZ2maiGcUor3/MIxHP2Tb+Aj917Fbzx119DssnK6zPopLEwsowpFca0IwSdYup+AjeE0F1IorTOK6fSxaVvqqbyDt5yy6j1vvVhHfjHfVS9yepzwhDwIT4bhCXm2TWW0F41KA+X1Mmp5827hXvVbwrF9wxtmG7s76O4ie7Qbbaw+1k8fpQrFwgMLGNkxcp01ZAWcg0NsNoZAPID0lTQcLgfiO+LbJjrWidBYCMsnl21HH0Zsg2HgEBy6PGjdtRvSGFa9CkIIPAEPmpWmZUPAO5inW81VLTcfcTyHQCKAcrIM9x5rhsAbZTnecrqM8HjYdG1wNAiHy4HlR5dRTg1ebxWBeACFlQLiO60XYTvRex+oMtuKrCDoduLLb3oyXvyB7+Ht//qY5el3nVC7cq1q75eSJdRyNVtDZvJLeZTWS3D5XZg6OnVNKd0A+5tquRpyi7kup8bhciA6HUVoPHRNvH9KKdq1NpstnK0CBINrRISlj9QZIN6wlzWM6dQxqUJRSpWQvqRPH1Wb6pqV5nVDYAeCV8Dk4UnUcjWsnFpBaDzE5pNuo4fAO/lNKqNFjX9go3OUQndCmu1rEHjDITq9IBwB7+Qht2XLXptaFLXDHPHH/GyIvY0u1NBYCKunVxHfFbdU8CeEIDIZQXGlaEm10hv2IjwV3vLw704E4gFkrmTQrDSH0jISvALKqbL2c6fEtdPtxOHJEH77mXvwnm9cxA3TV/HaO3baOr7YYHLdVjYOWZKRXcgy0TSL8wUKK4zuGRwNIrE7cU2crU5UMhXkFnJdDYhOjxPRmShCo8PPHjYCVSjqpTpqWTZcvrP2ZXQuwSuwfoGoD96Q1zRtLIsyiutF1HI1Rgu1UI7bCkEBuMaGgBByF4C/AsAD+Cil9N06a54K4C8BOAFkKaVPuZbXtHFOJgMbYSyT5UeXEd8Ztzwo2goiUxFkrmRsGQJg0xscRrelEw7BYdkQAOzBaTfa1g1B0K0pRVqFL+bb5INbfDjdQTd4J49qrmrZ6ATHgsjMs0lOVtIzsZkYSqslNMqNbelQdbqdcAfdqGQqQxuCdqOtfU6cgwMhpCst8Lqn7MJ7vnER7/zKObz4+CRGLEgzqKiXGFPFd3TwvZlfzEMWZcR3DZ5uBrCUk0oR3crAeitoN9rIXs1CEiXNCAheQYv8t9MAUIVJQ1ezVdTyNUPWHFWoNsnQF/HBG2XNYmaRs9SS0Cg10Cg1UCvWhhqa1Kw2bT1XvbhmhoAQwgP4AIBnAVgB8CAh5EuU0rMda8IA/gbAXZTSJULI9vX7WwDHcxiZG4E4KiJ9JQ0hJyAyFdmWMNblc2miX3aai1w+xmXeqiHobV8fBLusHrUgaseLFjwCHC7HwGJuJwghCI4HUUqWLBsC3sEjNBpCcbVoyRA4BAcCiQCKK8VtkyrYSnpI8AoA3RxGQwiBw+XoUjZ18Bw+fc8T8IqP/BDv+so5/MUrbrB8/HqhzsZ1WphfXFgpIDwRtsS4qxVqWD+3DsErYOrI1DUzArIoI7eYY+w8upFfD3sQmYzAP2JdX8sWCJC+lDaUbeEFHv4Yk5kWfILprHB12Ey9UEej1LDNpuuF4BXgCXugyAp4brjo61pGBLcCuEwpvQoAhJBPAXgRgLMda14N4AuU0iUAoJSmr+H1GMLpcWLy8CTqpTrWz6/DHXQjOhXVwrd6sQ5FVmyP3otMRlBcK9riXAs+QdNR2QoIISAcsUxjNBvDqQfeyYMXeLRqLVtGyz/iRzVbtRUphUZDyM5nITZFyzWJ8GQYiycWITZEU4kFFZGpCJYeXbK8fhDU9NAwUYbajNiqtTQnwuHqj/Bu2xnDbz59N9737cv4+Run8OQ9IwOPTSlFvVBHeDI8cG32ahaEY528g9CsNLH22Bp4J4+po1PXJB2kKAqKq0XkFnOak+ONeBHfGb8mjaOdUIUQO1lsgk9gm/+IXxOF0wOlVJs3UC/UUS/W4fQ4t5zOUTF1dGrL9NdraQgmAXQS3lcA3NazZi8AJyHkPwEEAPwVpfTjvQcihNwD4B4AmJmZuSYXC7Dh9Z4jHtRyNaw+topAnGmZpC6loEgK3De6bTEffDGfLdVN9RpquZrdS9c/f5R1OFp5SHxhH/LL9lI9wdEg6vm6LUMQGg9h5eSKLXqtw+VAZDKC/FIeo3utsVZcPhczIAtZjB8YH7jeHXDDH/NbXj8ITrcTwdEgKqmKbUNAONLVnQoYz7r4jaftxpdOruE1f3c/zv7pc+AdEM22623IojyQd96sNlHJVBDfGR8YIYsNESunVwBsz6bUC0qZFET2alZzVgSfgMTOBLzR4bp/h4E/7ofYFOEf2RgraaIeILZEbdOvF+p9393ALAFhka0r4GLzJLwuyBITCOwkgfhH/EPPsu7EtUvg6RPyesveDgA3AXg+gOcA+CNCyN6+N1H6EUrpzZTSm+Nxa7nKYaHWD6aOTgEEmlcptSSsPrZqq3tPnVpmB+rs462GiwArhFZz1jTPXQEmr2tHsTQ0xobO2JGLFjyCVpuxg+hMFJVMxRbNNbYjxlQg89YMa3xnHJVMxbJMxSAEx4IorZds1WpU9M5VDiQCuhGp28njLXex5rKDf/z1gcetF+ogPBnoHBSWC3AH3QhPhU3XKYqCzNUMFFHB5JFJSzLShseSlb5GRbElYu3sGpJnk6xbWuAxum8UczfPwRcb3AW/nfDH/Ji+YRqRqYiuEZBaEnJLOczfP4+rP7iK9fPrKK+XdQ1472tOj5ON+dw3ih237sDeO/di95N2Y/roNCYOTCA4GkSj2OhjAvJOHisnV1DJmtPOB+FaGoIVANMdP08BWNNZ8zVKaY1SmgVwL4BjQ59RagNbaLPuBOEIQuMhUEq1ja5ZbSI7n92W45shOBZkEghbhC/qsxxdqLIZquyAFTjdTrgDbtsDNkbmRlhjjI0NUp06lbqYsmyMHYIDiV0JpC6mLHVCO91OxGZjSF1K2R4VqAdv2AvBK2h6/3bfWy/VtesIjAQMWT7PPbIZwSRNBqcAzBB4Q17ToqLYFFFOlxEaGzziUR0POX5wfKi+CRWUUqycWsHVH16F2BRBKetdWHhgAWJdBAgTqdt5206Ex7enKXSroJQNmsnOZ7F4YhFXfnAF9Xwd7YZ5sdflYyJ/4akwJg5NYNftu7Dztp0Y3z+O8Hi4a4A9pRTldBkLDy7oOkGlZAn1Yt10YI4VXEtD8CCAPYSQHYQQAcArAXypZ82/AbiDEOIghHjBUkfnhj7jf/0f4H3Hga+/Dbj0LaC9Nc+unOqx5pTxo+2MXRwG/pgf1Xx1S9ohwMYkLgc38MZUERwNdtEWrSAyHUF+xZ5373A5EBoPaZ29VhGaYLTTUtJ6t3FwjPUKWD1XZDqiNVBtFYQQRKejKK4WbUtyeEIeUJlalti47/efBsHB4c+/dsF0nSzKA5VGi6tF8Dw/kF5ayVRQXC1qLJ2tQN3MZFHGyukVLD26pBlwX8yHXU/YhZG5kWvKQrICWZRRTpeRPJfEle9fwdLDS129C3qRvNPjRGg8hPGD49h1+y7M3TKH0T2jGN09ikA80Jc1kCUZhZUClk8t49J9l5A8mxx4/7QqW6srXrMaAaVUIoS8EcDXweijf08pPUMIed3G7z9EKT1HCPkagFNgbNmPUkofG/qk40eB5EnggY8AP3g/e+3mXwEOvhiYfRLA2/tzvWEvJg9Nsqhg45/YEFFKsXA/NhvbNi37TqhdhvWiNUllMwTiAVSz1T5NJD0IXgEU1JZGvzYHoNSwRb+NzkQx/8C8YZitB0IIEnsSWD29ynKjFtJuhBCM7h3F4sOLCI4GB7JfOI7D6J5RrJ1ZYw/pFvOvgXgAmasZ1rBmQ/Ofd7A5w41iwxIFdTrqxWufvAN/859X8Eu3z+GYzqwIRVbQKDcwssO4qKxICorJIiKT5mMrxaaI9QvrTPJ9dnAxeRA6DbVKn3T5XddMQdguWtUWUpdSAz1vWZTZRDG/G96IF96w17Rmou4pjXKDKZCW6sPRR20y+HpBtup1/qhx880304ceesh8UasCfO5XgPxVoLwGiHXAFwfmngxEdwJPezuwxYatdqON/GKezUmdjdrS6rGCVr2F4koRiT2JLYXBUkvC2tk1zBy3VmQvrBQgSzJG5gYzUFRUMmyg9+ShSVvXll/Oo1lpYuLghK33rV9gevZj+8Ysvyc7n0W9UMf08WlLn+fqmVUQQmxfmx7yy3mU1kqYu3XO1neZvpxGu95m9SoLqLYkHH4HqxPM/9nz+s7VrDSxeGIRu27fZWhECysFZK5ksPMJOw2NIFUoY1jVRczeMrvle79RamDpkaW+18f2jW15Fu92QWpJuPKDK7q/E3wC/FFWQPYEPQO5/IrMNINU5VE7dTk9cA4OnqAH4wfHTYfmEEJOUEpv1vvd47Oz2BUAfvGz7P/bdeDSN4Cz/wqc+SJ77YcfAm5/I3DsVUDU3tQnFYJHwNj+MbRqLWSuZLRW9u1qpXd5XeAFHpV0BcHRIFrV1lCFOIfLAcIRtJttTQfHDIFEAMmzSVvehX/Ej8JqAa1ay5bCa3gyjLXH2OByb8R6fjm+M47k+SQq2QoCI9ZSEtHZKNr1NnKLOUtGLrErgfXz66hmq5b0eMwQHg+jnC6jlqvZOpY37EU1W7Xcae53OXBkMoTTqyV8+3wazzjQzbBSxyMaUTsppSisFDTpDSNkF7JolpuYPDK5LQ5Q8lxS9/VyuvwTYwgcLgdcfhda1ZY2VUzd/AexpNRIrFFsaJv/dtHEAWDnE3eC57dG1318RgRGqOWAe/8cyF4ArnwHAGUpo+OvAQ69FHAOH4I2y02UUiXwTh6RqYipZbYKqlCsnF6By+tCcb2IXU/YNRQ/W9VBsepBq4YtMmVdNK9WqCF7NYuZ4zO2uhsb5QbWzrCIxQ7tsFFuYPX0KqaPTVs2kO1GG0sPL2F076ilnHYlU8H6hXXM3jS75RSgqr0zd/Oc5c9HlmVc+d4VTB2dslyIFWUFz3zvf8ErOPCVNz0ZXMe5MldZt7VRdCi1JayfX0d8Z9zwM1W998h0BIldW+v/lNobXra6BRFG41X/men5/zhQzVU1UUmztJkiK2iUGlrdQ2/egCfkMU8zEVbjc/nYJD2H2wFZlNGqtLqkNALxACYOWYtazSKCny1D0InSKnDqU8Cj/wLkLgOeKHDT3cAtvwqErIXiemiUGsiv5OEJMKXDrRa3kueTrIBLgcSehG1FUxVrZ9YQngpb4rQrsoKlR5YweWjSVnNV5moGoLAsR6BCHUg+fcO0rc+rnC4jcyWD2ZtmLW8Y9UIdq2eYAbGSe05fSaNeqGPm+MyWvktFVrDw4AIi0xFb3+HamTVGmbSo+gkAX3xkBb/z6ZP4wKtvxPOPbjKKVh9bBe/kbaXUOkEpxeKJRQheAeP7x7ck4SA2RCycWNAawyaPTMIX/dHSQbcTiqygUWyglCrpDr7phcvn2tzQN+YXu4NueIIeeEIeFskbfBayKKNeZL0JFEz0LpAIDKwnXjcEZqAUWPgucP+HgAtfBUCA/c8HnvTbwNRNQx6SdW8W14rwRryM7jbEQ5O+nEYpWdIYA+6AG7M3zQ51TVJLwtqZNUzfMG3pWurFOnKLOUwdnbL8cKq545G5EdsaS6lLjCEytm/M1maQXciilq9h+ph1I1JcY92pVgwIVSiWTy5D8ApDb6Aqyuky0pfS2HHbDssRYyVdQfpyGjufuNPy5yIrFHf95b1QKMU3fucp4De+7/kH5hEaD1kiDuihmCwidSGF2ZtntySBUsvVsHZuDYqkwBPyYOrY1DWbL66iUW6AKnRLFNdOqPIxtXwNtXwNjRI7/iBPn3NwrHF1g1jhDrnh9pvLfciijGa1iValxf5bbfWpFEdnoojvNHfAfvZqBHZACLDjDvavuAQ8+FHgxD8C574E7Ho6cOfvA7NPtHlIwlQGI6xLeO3MmjYKz6pBkNoS8yw6lotNEbIkD5V2criYnk5+JY/YzGCWhzfMJpeV163naQlHMH5gHCunVjBzfMZWWJ/YlcDyyWUUV4u2UlKx2Rja9TbWL6xj/MC4pc0yPBFGq9bC6mOrLAox2YQIxwrGCw8toBQq2VJO7YWqP5RfzFuOmnwxH+Tzsi2pCp4j+O1n7sUb/uVh3Pn/fQffe+vTATCvddgUlyzJyF7NIjQRGtoIUEqRW8wht5AD5+AweWTStmyLHSiyolFcm5UmXH4XZm+aHTrqkCUZ9UJd2/z1GsV6aZ6cg4M37NXmDBjNLe4EVShatRYa5QYqqYqlwfRbrTdcNwQdyBa88Nz4FnjveDPIQ38PfP+vgX+4C5i7A3jm/7QdIahdyr6YD5V0BatnVhEcDVqauuQQHNj5hJ1oVpoaw0BqSkhfSWN833ASCOHJMJYfXUYwHrSU8onvjGPpkSWWq7VIoxQ8AkbmRpA8l8TkkUnLnh7hCCYOTWDp4SUIPsEybZYQgrF9Y1g+uYzsQhbxHdY22MSuBFZOryB1MTUwCnG4HJg4OIHVx1bh9ruH7p4lhGgGLzwRtvQdcDwHX8yHarpqS6riuYdZ9LJabEBRKAhhUSEvDFe7yi3mQCm1xSbrhCzJSJ5NopavweV3YeLQxDWhXgPMYSquFVFKlroYOVShkEV5qLpDca2I1MWU6RrCMSUBR8wBX8QHT9gDl89841d1iJrlJprlJhqVBlqVllZTsCpRY6fjXvfaf+ZTQx2Yf2Bee1giUxGEYg5wj3wc+O5fALUMcOQXgGe+Y+gagqIoqKQqbDjLeMhWTlRVLMxezWL6hsFzX43QrDSRW8phfP+4pVRKvVBHYbWA8QPW1qvIzjN54NE9o7Y8sGalieS5JEb3jtoK46W2xHjtQeu8dlmUsX5hHU6P05JKaG4ph0axgbH9Y1sqYq6dWQMILFNTy+kyMpczttJDAPBvj67itz71KD70mpvwrP1xXP7uZey4dYfte6ddb2P+wXkkdiVsRWsqFFnB6ulVKLICl8+FxJ7EtjeGUUrRKDZQWC30dbr7R/wIT4bhDQ+vS1Qv1rH8aP+scMErwBf1wRf1DSwiq1AkBfmVPNv4yw1TleCBReWO65i9cdZUv+t6jcAiFh5c6CrgEELg9DoRCACeUx+E99w/AIRD9fBvoHX0HvBuppWv/nM4HZY8Z0VRUForoV6qIzIZsb3hJc8lMbpndGhjUM1VUVwrYvLQpKVUVTlVRjlVxsThCXAch1qhNvChUkcVgsNQxmD1sVWM7h21lTqQWhKWTy7DP+LHyI4RS+eUWhKWHl1CYCSAkZ3m76GUYv38Otr1NqtJDDnwvt1oY+XUCkb3jlqKfBRZwfKjy0jsTthq2pNkBU//v/+FiE/AZ3/lFszfP2/aQ2CEldMrEBuiLcaTClmSsXp6FY1S45r1BTSrTRRXi10d59pgeouR1yBQheLy9y4DgDZgxhcdTB0F2DOrzhtolBpssp/HaTrKUoXgE7oazAhH4PK54PK7WHQacMHlc1kyQNcNQQ/EpohWvQWxLqJdbzMJBgptHCCwObUrNBlCIMaGXHPVVXDf+iOQ81+CkjiC1rPeCylyAHJbhizKoArV5BwEj6DR4IyMgyIrjH9fbSE6FbUcBkptCalLKcRmY0Pna8upMqq5quW8enGtiFq+Bl/Mh9SFFCaPTsIfNd+kKaVaOD26154xaNVabDLZzjgCCevyBVJbwurpVbgDbsvNeLaMgUKx+tgqAGDysDVDqof8ch7F1SLmbpmz9BAnzydBQDC2317B+p/vX8TbvvgYPvaLxzGeq2DvnXttXXOz0kT6chrR6ajtfgpZlLFyagXNahMTByZsfY+Wrq3aRG4hh2q2CsITgDLPODJ5bQbTt2otCB5Bqz14I17d9JbYFLvoo3rjZwd5+uqUQ1fABSpTtvEH3BA8wtD33M+8IRAbIuolJgnbrDThEBzalyh4BTg9TnAch6VHl9AoNeB0ORGbi7Hirt6mcPZLwFd+F2gUgGe/E7jt11nReQNq23iz0kSz2gTv4E3TFbLItEXEpoiRuRFLHoya1ggkAkMN+QagNYFZ9dhTl1IorZVAKYUr4MLcTXMD37MVY6B6zrHZmK0ireqFOt1Olv+38ODYMQaKpDAmkU+wzXJSQSnF0sNLmp7+IDTKDSw/uoxdt++yRRZoijL2/9HXAADfeN4e7L2zT9zXFOsXWARktTNdhdSWsHJqBe1aGxOHJrbclNeJVrWF7GIW1QxLARFCEJ4IIzgWtFSM3QrEpojlR5e12Rg7btsBQgjajTbqhTpKyZKlfL062AnY8PL9LniCHuY8Bt2mg21USC0JrWoLzVqTFaMHSJH8TBkCtfiidfFVm3C6nPCEPfCGjIdEA9CURaOz0cFFznoe+Lc3MMrpwRcBL/obwLW1m11V47QaulNKkVvIQZEVluMewlPILeZAFYrYXMz0xpPaEhYeWtBkcDkHh5kbZiwVTlVjQBWK0X2jtqiCYkvEyskVhCfCtvLTiqxg7cwaYzIdHLd0TjvGQGpLWHpkCYF4wNJGrodmtYmlh5cwc3xmYE8DpRSLDy0iNBGy3Usy99avAAD++JYJ/MrPH7f8PlmUceUHVzC2b8zWYHSpzVJ0YkPE5OFJ21RiI7RqLeQWcoxNB2YAQhMhxGZi26LJPwjtehvLJ5e72EL+mJ9lFzbSPJ6gx5Tl43Q74Ql5tOjfE9woKJs8u1RhVNVWbZM+2qp2S8bHZmOmGlLAz5ghWD3NZgZ4w154wh64/cYb/5ZBKWMWfetPmODdqz8L+K/tvAQ9VLIVlJNljO4btZ3/pZQiv5xHq9LC2P4xw3B6+dQy6oV6V6OMN+rF9NFp3fV658kt5tAoNTBxcMJWh7SaClNlpa1+n1ShSJ5LgoJibO+YpXPaMQZqp3JsLjZ0o1/maga1fA2zN84O/LsKqwWU1kqYvdkeBTJTaeGWd30Lz5wK4qNvvMPy+/LLeeSX8tj1xF3Wu6ElGUsPL0Fsipg6MmVLOsTsmJnLGW06mGoAojPbr/FlhFa1heVHlyFL5rpA7qC7a/KY4BO0vgFPyGOpptCZUSivl1Ev1gcqEftjfkweMdf6+pkyBFtR4BsaF74GfPZuIDgO3P0VILh1oTK7aNfbWt1gmKaZSraCwjJjB+ndrFJLQr3IONSNcoN1NSrUUq2gE8VkUTuPHVVJRVKwfnEdUkvCxMEJyx4gpRSZqxlUs1VMHp60pIUktRgDiRd4jO01Ty01K01krmYQHA0O1WOgyAoWHlpAeCI8sNFLlmRc+f4VTN8wbUmRtBNv+dQj+MKpJH74h89AzGIUN//AvK2Ih1JWP1EkBSM7RrbcvEUpZQ11V9IQPAKa5SZriJuJbvsUNCPUijXkFhhbbBAEj8AmpnFE2/wHOR+UUkgtiaWRO/6pTKLOFJIZHC4Hdj1xl+maoQ3BxgD614INlfkapfR7Hb97O6X0nQOvcJtxLVlDW8LyA8AnXgqEJoFf/g/AO1z35lYgyzKyV7IAAeI74rZZLa1qC+sX1xHfFR/IWVcL3aVkCaN7Rm2F/41yA8lzSdu5f0opiqtF5JfzGD9gbxBKca2I7NUsxvaPWcpXS202kY538Jg4OGH6WdaLdayeXsXovtGh6jW1Qg35RTaGcxATbNii8enLGfzcRx/Am5+9F298+p7B15SvYeXUCnY+YaflTTe7kEVugXWjbzUd1K63kbqYQr1YZ3MdZqIIjYeuuQGglDVzVbNVlNfLliYFRmejCI+HLV+bLMksCq+20Kw0+6aOdcIqfZTjOey6fZdpgXwrhuCjALwAHgDw3wD8F6X0f2z87mFK6Y0Dr3Cb8RNrCABg/l7gn34emLwZ+KV/tz3/YLtQLzB5iOhM1PYDqdJTg4mgJaqf1GYy1/6YH5GpiOVoTGpLSJ5NstmzNtI9ANt4k+eSiE5HEZ60Pq2qXqxj7ewaIpMRRGeiA9+nyAqSZ5OQ2hImj0yapt1qBTbnenz/+FBDWlKXUmhWmpi5wVy0r1FuIH0pbXtAfKPUwGv+9odYacv47lueDucARk0nM8oKqrkqVk+vYmTHyJbmEyiygvwSS0lRSuGNeLdElbYCSikapQaqWSbOaHdM7MRBc0aU1Nqkj9ZLdbSqLcMZ1L1QFU874XA5tMZGl5/RR52ewcXlrRiCU5TSoxv/7wDwNwBGALwKwA8ppdYrT9uEn2hDAAAnPw188R7gzt8Dnv72H9tlKLKC7HyWFZJ3xW0xTahCkV3MQmyIGN0zOji8VShSl1LgeA6x2ZjlDYoqLG3TrDQxcWjCVn1DnbPgcDkwts+4ttELsSli9bFVTUZ80PvUv61eqGPq6JTphlTL17B6ZhXjB8Yty2OrUGQFiw8tIjgWHLiRLj28BN+Iz5JUiIpmpYnPfO0s/vhEEnffPoc/eeEh82s5sYj4rrilPo52vY3FE4vwRr2YODgxdGq2lq8hdTGlzSZO7EogkBjchT8sZFFGOVNGbj5nOBPA4WabbngyDIfg0FKk9QKbfuj0ODG2d0yLGFUNos6+AT3D0ltL6AXhiMYgkkV5c+P3uYZSIAa2ZgjOU0r397z2DgDPBpCglA6OMbcZP/GGAAD+9Q3Ao/8M/Pp/AePDj2DeDjRKbKZqZDpiW9elmqsiO5/FyNyIpXRKab2E/FLe8gainSdbhTfitc37pgpF5koG7UYbIztGLNccFFlhtMhaGxOHB0sdUEqRX8yjsFrA5JFJ0/x8NVfF2tk1TBycsP15qxTRQSyiSqaC9KU0dj5hp+VIqlVr4eoD83ju19lwlYV3P99wbS3PopvdT949kG2lSAoWH14EgIGdrSp663hUYey33BKbUhaeDGNkx8i2SLn3nVuhqOZZ2qeaqwKUMeDUnDzhCHwRnyYN0+ucqGlARVbgDXsxfcM0SydVW6gVaiiuFi15+p2GgBCi9Qm4g6z3qHNuseHfslFUblVbEHzCwPrXVgzBPwH4J0rp13pe/1UAH6KU/mgqNh34qTAEjSLw1zcC8QPA3V/u6jH4cUCRFeQWc5BaEmJz9sZryqKM9OU0QIDE7sTAh1MdYeh0ORHfbS8SGRaVdAWpS6nNlI+FzZFSisJyAcVkEfEd1prWSskScss5tt4k/VPJVpA8lxzKGGTns6hkK5i9adZwE6aUYv7+eYzsGLFM62w32lh5dAWfzDfxt/fN41v/407sNvibM1cyaNValiajrZ5ZRT1fZzMbLKRvarkakheSmDg0AW/IC7EpYu3sGtr1NpOf2J3Y9tGU6kZdWi+hkq70ef++qA+8k2ebf9Rn6JCoBpIqm3umL+ZDs9TU2ESugMt0frDgFRh91O/W5i8Moo8CLJXaqrXQrrUZfbTG/qnXMjI3gticeYQ4tPoopfQ1Gwd4OVixuEIIeTuAG8EGzf/MgSqsT0GVghXbIhRJ6bo5AMC399cRfvR/I3PfVyHGNjJoG7IVnIOD4BHgdDvh8rtMtce3AxzPIb4zjla1hfSlNFx+F2IzMUveG+/kMX5gHJVMBcuPLiO+M25ad3C6nZg6OoVSsoSlh5eQ2J3YNh65EQKJANxBN9YvrKP6aBXj+8cHbkpqAdIVcCF5Lol6sY74rrhpVBIaD8EhONjG1WgjOq1fZwiMBED3sbQXAFvGIDYbQzVXRW4+Z6hQSghBZCqC/HLecurE4XRAbIn4ldtm8A/fW8CnHljG219wUHdtrVCzZGBquRrEhoixA2OWc/jFZBFyW8bKyRWM7BhBfikPWZKR2JWwVe+xAqktobReQnm93Nfd63A5EBoLITgatHTt5fUykheSfXMGarla18+dxpsQAlfApTGI3EG35fSnLMpoVpooJZkUjVlBGUDXsJphYDUp+0eU0s8SQp4M4DkA3gPgg3gcGwOV1tWub1pgteFL8AisEzDsQcgbYvITvRvInjcA5z6AeO7LwJ2bYbiiKFAkhXUF1loorBS0UFIdh+cJea6JMqPL78LkkUlUs1WsnF5BaDxk3D3dg0A8AE/Ig/SlNMqZMuI74oY3tdrp6Y14kbqQQiVbQWJnYmhtHitQDVBxtYilRxi3PzwxeGPxRXyYu2kOyXNJLD2yhImDE6Ybgy/mw8zxGaycXkG73jaklwYTQRAQrJ3ZSBNZ7KztlPKOzkYNI6rQWAjZ+SwapYYl9hTn4Jj+jsDjWQdH8YVHVvF7d+2Dq+f4Upt1q3r3mx+TKhTpK2m4A27L9RBFVrSNU03rqY2JdjSUBkFqSyitldAoN1DLb27UHM8hEA8gOBaEJ+SxJAddWC10PaOGIKw5zBP2aAJ07oD5nAEV6ryBZmVj5kClqdUVXH7XQCMA/OgMgXolzwfwQUrpvxFC/mRLZ/4JhNSWUC+wQlCz2mQNIC7mtQdGA3AINjx3lx/Y/QzgyrdZ49nG+ziOAydwcAiOrhC4k09cXC1qLey+mA/ekHfbmuIIIQjEA/BFfSisFLByinlmVnjpDsGBiUMTWnQQmYogNB4y/EwEj4CpY2xzXn1sFeHJMPwj/msW/aiesi/qQ/JcErVcDWP7xgb2HDhcDkwdm0J+MY/FhxcxumfU1CNWde1XH1vF8sllw0J3IBEACLB2dg3jB60XkF0+F3bctsM0P885OIQmQigmi5ZptGqx85W3zuA/HlvHN8+m8IKj3T0v9WJdG5FohuIau0enj1lrKARYaqU3Fa3Iyrbd26pjVU6VtQidd/Jw+V0IjYXgH/EP3JgVSUEtX0M1V0UlU+mL9PUwfnAc/qjfsqMjyzKKq8W+TV8PVutm7XobiqwMra9k1RCsEkI+DOCZAP4PIcQF4NqOFPoRQJEUpkFUYOJQnINjE8Umw9ujWbLracCZLwCZ80DigOlSQgicbiecbqeWf2432qjlaiitlQDCVA/9Mf+2zHFVGT7BsSCyV7MorhYt6xwF4gF4I17kFnJa+sfIo1M3Z2/Ui/SlNIprxWtOBxS8AmaOzyC3lMPyyWXM3TJnhVqH2FwMnrAHybMsVZTYbSyX7BAcmD42jfUL61h6eAmTR/Sb1QJxZgySZ5PAAVimllqRxIhMRjD/wDxaMy1LjXIqZfHJu0cwGfbgA9+50mcIGqUGvBFzZVlZlJFdyCI2a0/aobhW7HuNd/IDxzqaQZ0GWFgpdHn/Lr8L0emolv83g9SStLne9cLgLt5euP1uUyMgtSQ2vL7UQKPM5g0QB4EiGstPq9AzRKoCqVogVtlEWxHZs/ot/gKAuwC8h1JaJISMA/i9oc/6YwKlFM1KE41iA9V8FVDAQrmYDyM7RrZdrRCxDVJVJTnQEOhB8AgQpgREpiJQZAX1Yh2ZKxkoioJAPAB/bLCHMwhOlxPjB8ZRL9WRPJ+EO+BGdCY60NjwDh6J3Qm0ai2kL6fhEByI74wbbgwurwtTR6e0tFRgJIDYrLU6xTAgHMHI3AiiU4P7BTrhDXsxe/MsozE2RFMtJY7nMH5gHLnFHJYeWcLUkSldgxgYCYAcJFg7uwZQbJsKp9PtRDARRH6JNdgNXO9yQmyJ2ujKc8kyPvvQMl5+86ZX36w0BzbFZeez4B28Le2nWr6mUS45nkNwLIhgIgh30D2Uw6XO9siv5Ltkmv0xPyLTkYGpH0opmuWm1lGvBzUy8ka8CE2wnhqxIaKaraJRZI6jJ+jpcp7UwrS68TfL+h6/4BbQEs3TOeom7xAc2mbv8lvrGbALS4aAUloH8IWOn5MAktt6JdcIVGHNIpVshU1H8rrgj/sxeWhyaD6uZVj4slo1a94cx3Pwx/zwx/yQJRmVTAXJs0nwAo/gqLWcpxm8IUaFq2ZYY5DaIDZoo3b5Njf45VPLCI2GWGOZTrjfmZbKL+Wx8NACRnaMXFOu+DCGxiE4LDdSEcIMjtrUYwT/iB8ThyawdmYNFHRoxdheRGeiWHiQfY6DOlsdLocmk/6/XnwIv/Kxh/CDq7kuQyA2RNNorVVrobhWZN3WFp2QVr2FlVMrAIDEnoSl2o0ZGqUGcos51Ao1gDKjHxpnYnyDIs12o83ma2x0Dff+DYJPQGCEOVmuQH9WoJ6vI7+UBwAER4OIzcVAFaqpGxeWC33jKvXQ+3y4fC64Ai5Nut6qh6/ICtr1Nngnv6Wu68flqEpFVlAv1FHJVtAoNeAJeuAf8SO+05wV8qOGIiusOSjqw9iBMcuqnLyDZ0M3xsPajZ1bzMEb8SIQD+gWmtVw1+wBJIQgkAjAP+JHab2EpUeXEBoPITweNs3j9m7wyfNJ0+lbHM8x6uNYEJnLGRTXiojvjsMT2L6C4Y8aVlI+/pgfk4cnmTFQ6JbmH6sQvAJ8Iz7kl/MY3TNqutbpcWqG4On7R/GEnVE8slTUeP2KpEAWZVODVkwW4Ql74I9bK36LDSbbzPEcpo7qR0xW0a63Nd0ogBXuPSEPwuNhU6dOFpnjVF4v9ymDEo4gGA/C5XPBP+I3JWn0jquspCva0Bk1hSN4Bd35AypU+qjL52IR0UajmJXGxnajzeijtU36qKp6utWO7sedIVi/sI56sQ5vxItgIjhQNGy7QCkFKAtZqUyhKArQaEMA0Ky2QMsNOJwO8AKvfemtWgsgjHfeOtHC1JEp21ZdnRFMKUWjzJrHqEwRmugehZm6mGJSCYcnB+fLuQ1999EgCqsFLD2yhMhUZKDnrm7wVnOsgkdgLKZcFfnFvPb+H5Wg2I8DvqgPE4fY/GNQbMvErthMjDGlZmOmKT2nx6mlZwDgJccn8ZbPn8ajy0Ucn4kwI0FgqOgptSQUV4qYvmHakkcvNkUsn1wGIQQzN88MzYST2hJyCzmtxqCOFh1EPKgVamygUra7SE04An/Mj+BYEL6Iz9L+kLmSQX453/WaWp/oRCfLi3CEzRgIupn6aHCwCJ12bIWiVWfRV7PcRLvWNn2uflSsoZ8aRKejtgegWIXaQ6BONWvX2yz/R1nYrVbtCUfAcRyEfAUCgHatBbFQhyzKkNqS5j20622to7Fda2upkmEkjQlhiofekBdSS0Ipybp8/TE/AvEAqtkqFEWxNeCd4znEZmIIj4eRW8yhtF5CaCw00CDY/ez9MT+8YS+Kq0UsntiQWZixLlXx0wZf1IfJw5Oans9WjYE7wDaawkrBVCnU5XVp96BDcOC5R8bxx/92Bv/6yCqOz0Q0pprRxlhKlSB4BEtevTrAhSqUzdgewgios33zy3lQmYJ38owWbBKhdhaPqUJRL25u1J6QB8GxIALxgKVGR6ktIbeYQzlVNp0rDLBnxRNmm30gEdC8fitGRpEV5uFviNCp8wYopX2jKo1gZY0ZHneGYDvYKKpeiPqltBttUJkyb8nthOAVIHgE+GN+0wcHpTQAILj/KBDtD9tWTq1oYSThiMatrmQrcDgcXXlDO0whh8uB2FwM0ZkoqjmWu1e7KYurRbj8LgTj1nPUvJMVhsWmqAmCRWei25rb53hOU5jMLeYw/+C8JipnZ5DNTwt8UR8mj0xq8zPCE+EtHS82GxsoV8w7eThcDrRqLTgEB4JuJ555cBT/fiqJt7/gINqNtmE0RilFKVkypQurkEQJy48uQ1EUzNwwM9QzWcvXkDyfhNyWQTiC2GwM0emoYc1Hr3jM8RycXidCoyEEE0FLjDiVqVfNVruMiBE4B8dkRwIey5kHRVbYJLMq6xsw8+atdua3621QhQ6d/XjcGYJhQJUNNtGGOqDUlCD4BHiCHtZ56BGGY7cs/QDwxoDIDt1fiy0RTo9TO48n5NHSRqqX0Cg3NI/EHXSzIpZFaivhCPwjfiYRsQFFUrB+fp2N6xwgNd0Lp9uJ0b2jEJsicos55Jc3DEJ8+wyCanTCk2Fkr2axsHrtC8o/LvgiPkwdmcLKYysAZRo7w8Ib9lrqJ3D5XGjX2vBFWLf3S26YxFdOJfH/zqVwi18wnIHdKDcgNkSERs2jF0opUhdScHqcSOxO2DYCqlhica3IZoaPhzAyN2LIRpPaEoprRRRXi5qzw/GcNsltUJpRZQ9Vc1VUc1XbnrUiKfAEzYkaah2hWW4y+uiGt2+lR8EoHcQLjNGk/hN8ArCFx+Nn0hCo7duqOqAiK1pH7+juUTjc2yD5ILWBS98Adj/LkD00d9OcoQXneEZNUxu9qMJqAJVMBZmrGThcDviiPvgi5jzpRqkBWZTZmo1TUZli+ZFlRGeiiExGbI/5U2cBawZhKY/YTAz++PY1iwkeAROHJtAoN5C5kkE5VUZ4IgxfzPe4MgjeiBdTR6awenoVINhyZDAIgk/o8kCfso+lkl73Tw+bCtGVkiXWwzLgXiklS6hmq5i+YdoSG64TzUoTyXNJtOtt+KI+JPYkDFNK7UYb+cU8ax7b2CydbidrchwLDXTcFElBJVtBvVBHOVXWXeMOuCH4BPhHGFtPzRSoBVuxKcIf677nqdJBHy2b0EctpHwcLodmyHo3/e3oJeo617Ye7ScUav9ALV/Tuhu9IeZBqfKy247L32TD7Y+8zHCJnTCOcKTL6xObImr5GrLzWYhNkfUVxP19oaQn5NEGVvTesJVsBWtn17QHyK7Yl2oQ1IeykqnAF/Ux2YptKtB7gh5Ga81Vkb6SBr/EI74jvi0jEH9S4A17MXFkAqunWM3gWhoDl8/V1djVOZeg0ZbhEfqdCkVSUElXTJlgALSeErtT8tRxqdn5LAghphRTdSBSJV3RdPo9IQ8iU5GBxWOqsPpBKcWMFVUoeKG7uOuL+jTxud59gRACt9/dFzUpsqI5lbmlnKUGuV6WkNPjZAyigEtjEl2TfckAj1tDILUk1Aps42+Wm3D5XYyxcXDiR8NKeeBvAf8osOvp1+TwTrdT2zBkUUYlXcHamTXwDtZX4IsyNgQhRDfPSDiCYII19TTKDeSX85Db8lAyEKq2f6vWQn4pj9xiDpHpDc9sG+i6hBDG7Y76UU6VkTyfhOAVEN8R14aA/7TDF96sGRBCtoVNpAeVn94pBf0vr70Nr/7o/fjOhTSed6S/Ma1WrMEb8pqKB6pDfNx+ty0ao9gQkTyfRKPUgDvgxvgBfcFAdWxl5moGUksC4VjHenA0aOrAqA1e5VQZ5VS5T3lU8Ahwj7o1J8sSd19R0Cw3mRxNsY5mualFJYMGzghelnIWfAIC8QDrGfC7fiQqvWZ43BmC3GIOlUwFACvIhSfC8Oy3XsjZFiRPAle/AzzzTwD+2hsd3skjPBlGeDIMsSGinC4jv5yH4BMQTAxuNvMEPfAc9EBsiiiuFlFOl9kwjglzfnYvXD4Xxg+MswhhKY+FBxfYdY2Ht6WDWG0cCiQCKCVLWDm9Ak/Ig5EdI7bTENcCW52X7Yt0sIkItqXPoBcunwuNUgPtWlvrmr51RxQxn4CvnE7qGgK1i9bsGcpeZZHp3C3G6c5eVLNVJM8locgKYrMxxGZjuu+tF+pIX0lrEcCgugGwMdZ0o3bQy+sXPILW2WylgKzWEdSBNI1ywzC/r+o5Aczrdwfd7PnaEKH7SWXCXVNDQAi5C8BfAeABfJRS+m6DdbcA+CGAV1BKP7eVc7qDboTGQrbz3tuKb78TcIWAm375R35qp8fJGBYzUc0Tyq/k4fK6EBoPmdL4nG4n4rvikEWZyUg/sgRv2IvI1OCOzU4IHoHVEFoiCssFzD84zxrgJu0ZFiNwPKflgtU+B3/Mj+hsFC7vj88gJM8mWYNTh5yyLDLWi9XISO0zWDuzBkKI5XkDVkE4lt5olBuaIXDwHJ5zeAz/+siqbnqoUW6YdkLXC3UUVgsYPzhuK9oWvAKcHkZA0BM9bNVayFzNaIqlvpgP8Z1xU6MvS+zeLa4W4XA7NCPAO3kEEgGERkO6HcN6aNfbqOaqqOVqaDfapp6+Q3DAE2abfWgixLx+C8NlflJwzXbLjcH3HwDwLAArAB4khHyJUnpWZ93/AfD17Tivyob4UUORFfalz/8nyKVvAM/6U8AT/rFcC7CRz9xoV6cKRTVb1boiw+Mb6R8Dz4138qyQPBVhQ1bOJ9lrU1F4wtalLJwuxhyJzkRRWGEGITQWQnjC+qBvM3AOJpwXngijsFLA4kOLCMQDtofvbBeCY0Gsn19HNcdmInA8h4WHFuAOuC1LVgCsr2L84DiSZ5Nat/d2wh3amI7VkfJ//pFx/Mv9S/ivi2ncdXgzKlBkBc1KE6O79buWKWVy1JHJiG3ZDMErYPam2b77iVKKwkoBmStsnoPL70JiV8K0LtRutFFcLaKULGkSDxzPIZAIsFSphcYxlZBRzVVRy9a0LmyAOZidhoB38lo6yRvxXhP9nx8lrqXbfCuAy5TSqwBACPkUgBcBONuz7k0APg/glmt4LUNBlmSIDRGyKGuNOOr/y21Zm0oEACAARyWMfvt3QbyTSHqeD5xc7jumw+UA4QgTlNvoRzDtRdgGEI5tJoFEAO1Gm03aWszBF/WxKMHA2++qI5QayK/k2UM/FUEgHrDs5aqCdNGpKPIreSyeWIQv6kN0Omoq6mYVvJPHyI4RrQdh4cEFBBNMB8auwVEpfuGJ7qYlVS7Z7GH3x/yYu2UOqQspXH3gKlw+F6S2hGq2ima1aUjN1ENgJADsB+tm5WB7BrIZPEEPsvPZrtdu2xFF1CfgK6fXuwxBs9LURinqQaVc2jF0nej9PMWmiOS5JJqVJgS/gNh0zJA6rA6dL6wUNNkJgG3a0amoqbOjQhZlTXa6lq8ZNo45BAf8I35t8xd8Pz3evhVcS0MwCaBzJ1xBzyAbQsgkgJcAeDpMDAEh5B4A9wDAzMzMtl+oytlXaWHtepupNDp4xu3nOPACE3VS83wOwcHypp03w3f+N1C5Arz6M5jeu1v/XIqiDbwRGyKb8tQUWX6ZIxp7wBv2XpOituAREN8Zx8jcCGPiXE6DKhTB8SACI8abuyfkwWRoUvO8iqtFJtltw7vnBR7xnXHEZmIoJotYOb0Cl8+F6EzUFsvECCqLKToTZU1pD7AIJDobNZRN6IUsy8gv55n+0cbsZVmSMX//PELjIdPOXWBjZsPhCayfX9+kJRIgczWD6aPWtfsBplKqKKwIyx/lt+UzAthG2a63N2nFYOmhp+yN44uPrOLdLz0C30ZqtVFuMIVQnQ2VUorcfA6hidC23KvldBmpiykosoKRHSOGE+AAaIy5zia6QDzAlEctzNZo1VqopCtoVpt9U8YAFm1qDKIBFO0fJcSWiEqqAs7BITga3DbttGtpCPS+wd4Ky18CeAulVB4gGfsRAB8B2MziYS+IUiYR0Sw30W6wzmGpKYHwBC4v4+eqniov8PYs/vpp4L7/Cxz5BWDvcwyXcRwbU6mXulCVBJvVpkYLdbqd8IQ8zDBsY/hJOCYUF4gHIDZFlNZLWHhoAf6oH+HJsGGUIHgEJHYnIIsyimtFLD+6DHfQjciUtQcQYA9ZdJr1MJRTZaQupMA5mZzFdvQJCB4B4/vHEZuJIbuQxfz98whPhBGZjgw0CL6IDztu3YHCSgFrZ9bgDXvBO3nIkoz8Ul5jephBbIiopCubL1CmWtkoNyx/RipCYyEokoLV06uYvmF6W+b5Ol1OOFwONCvNLiZQ0M22g//+9w/g86+/HQDQLDUNr7maraLdaFuabWwGRVKQupRCOVWG0+PE9DHjv7PdaCN7NcsmB9ZatprHpJaEcrrMDMCGAem8zwUvUwvwxXysSexHSTCxgGq2iuT55KYsTb2NxO6EpnO2les1HV6/FRBCngjgTyilz9n4+Q8AgFL6Zx1r5rFpMEYA1AHcQyn9V6Pj2hler0gsv6k2drRqLThcDq2Kv23zgltV4CNPBVoV4PXfB3zDqwD2QmyKqBfZ4Jx2vQ1e4OGL+OCL+rY9YlBkBZVMBcW1IjiOY1TSmHl4TRWKSqaCwkoBIGBpo5GArZuSUlbDyC/nwXEc/HH/tlFPAeb95RZyEJsi3EE3YjPWBqpILQmpS6mutIPgFTB3szkzpparYe3cGntg1WUU4Jwcdj1h11B/l9ptO3N8OMmGXlQyFbj8ri6HpCnK2P9HX8NT98XxsV++FQCw/OgywpPhPnVVSikWHlqAL+JDYndi6OtolBpInktCbIoIjYcMhwHJoozcUg7FFaaW6vK7mDBiImjKSFMbx8qpsq5AnD/h1wzAj6OuZAVUYfOvCys9cxMIq5+IDVGT4DDD0MPrt4gHAewhhOwAsArglQBe3bmAUqppLxBCPgbgy2ZGwArK6TIaRdbVR2UKd9DNHv65mGURKNv46puB3GXgl760rUYAYOmO0FhIoxJKbTZNKX0pDVmU4Y16ERgJbEvOkuM57VzNShPFtSIyVzMIJoIs/NfxpgnHmC3B0aCWr81ezSI0weYhW0nJqDLW/hE/GkWmNZ+dzyIyGdmWhj+Xz6V1KecWcrh6/1WEJ8IDB/CoQoKdaNfbyC6aC/f5Yj7sefIeSG1J81zV6VdX77+K2RtnbRvx2FwMsihj+eQyZo7PbNkJ0JPNdjt5vPDYBL53OQtZoeAISw3ppcOqmSrEhojoUfPNxwyl9RLWz6+Dc3CYODShe01UYTTQ7EIWiqTA4WL1pkGSI1JLQmYhg0qqe9ykKrsSTGz22vykQmpLSF9Oo5qrMq2zXlCgVWGUWjPpayu4ZoaAUioRQt4IxgbiAfw9pfQMIeR1G7//0LU4ryIp8EV9iM2ZS/JuGx75Z+DkJ4GnvBXYcec1P51DcGizCBRJQa1QQ345j3a9zXTiR/wDtU+swB1wY2zfGGRRRjlVxsqpFU1D3Sh94wmxSEvtR1h8iBWFw5NhSykRQgi8EcbCaFaayC/ncfWHVxEcDSIyFdlyr4An6MHU0Sk0Sg1kF7K4+sOriExGEJmO6N4r7UZb8yIJR7QQPL+YhyIpSOxOmH7ODsHBNJ3CXkQmmcxz6kIKCw8tYGzfmOWxlQC0jltZkrFy6v9v7z3DXMvOMtF37aScq1S5Tj6nT+do+7bdTthjt02GueOAwYDHhGHgAnOBe+EZBrgDhrn3YjI2xsDgAcOMuY7AYLCxsdvtTu54TvfpEyoHqZTD1o7r/lhaW1tVUkkqSRVO6X0ePUpbpb1Ve69vre97v/ddwdzdc0M5v9906wQ+/cwanl7O4e6ZCKhNW66eiuki4rPxvmjavrAPwUQQyfPJHRMGvkpMX0/DUA1Hojw2G9t1RVUr1ZhvcaoIX8jnBAF/zI/wRL0ONiRXvL2CUgqzZqJWYQb25TRLufVi4dmv+ujQUkPDQi+poaFj+THgT98OzL8KeM8nAeHgCkpccre8VYZaVBGIBxyGwyBmPZRSx4FJr+qITEUQmYrsOhi5Od2iIiI2w9hGveyPUTOQW8mhsF5gA2oXNoTdopqvsoJjuYbYTIzVhrYVBbWyBtMwmWmLydhihY0CDNWAP+ZH8myypwBFKUV+NY/0tTQi05GezZKoTZnlJYFDUR0kCqqB+37l83jfQ6fxk689hYXHF3D+teeb/meWYeHqI1cxf898zzWPbmAZlpMKA5jkxm4TOx40cis5qIWG8Ux4IsyUdpPhg+0r2gZulKOVNUd+uhtXs90gSALOvvpsJ3n4tqmhUSDYK/LLwB+9AVCCwL/9AuDf+xJ50OAmNcWNItSC6uj/dKta2gmcglrcKMIX9bHu7V0GZ0opKpkKcqs56BUdkWnWS9DLjNYyLOTX88ivMIesQCyA0ESob4lqHuA4ndIf9bcMCNth1AxHMjw2E0PiRG/+CbVSDWuX1iAIAqZuneopmNiWjaVvLEH2ypi+bXrgNMZ3/dGjSJU0fPr7H8Da5TWcfbCZAVfYKGDrxhZOv+r0wL+7Wqhi/RLrNvZH/bt2jbsnGlzYTZAEp3nxMBgcOQSVEpvtcxG63ZrTeoEgCQiOBeHxe9paxHKMAsGgoVeAj74FyC0C7/tHYPzCwe7PLrBtG5VMBcXNIgyVidOFJlrbWe7lb5fTZSYBbFmOq9luuilaRXNkLLhLlD/q73pAoTZFYaOA7DJLz/A6Qr/0PkopoyTWpRJiczHEZmMdNWCq+SpSL6dg6qbTy9Dtsdimjc2rm9CrOqLT0Z4kJUzNxOJTrIGun2JtK3z0Kzfwy5+9hM9+//0IllScvP9k0/srz6047LFBgVKKzGIGmYUMJEXC1MUp+GP+Joorh23byC3nkF3KOjNp2edSHj1AO1pTMxuDfv22Xd8I6KxJ5EAAsMtiITIdweT5ya72bRQIOoBSCmpRmIYJS683jumW87zpN7JNRL/y4/CsfRG5134I+gyrCxAQh3IqKRIkT+N20IJSHI53a6oIUCCcDCM41llauBvUyjVnZjZ3V2e+PK89ZJeyECSBdaZO7M4AcYOvMrIrWdSKNYQnw4jPxvtm1FBKUU6XsbWwBVM3Gc21Q16aUorCGpsl+6JMCbMXzn9ho4DNK5uITEYwfna861WOVtGw9NQSxk7vzdWuHZYyVbz2v3wRP/TALN5zPoHZOxr0UNu0cfWrVzF792zPfhbtwJvI1IKKYCKIiQsTkBQJlWwFK8+uIHk2idhszPnfpK+nISoiasUa/DEmgeK2Zd1PcGlqNa+iVqmhsFbo6nOeoMfRTgJYPckTbMhMyz4Z3oAXRGRNjJRSaCUN5SyTvNDKGmSfjJk7Zrqe1B37QEApdZq4uM0k/2Ftu9GOzj2FJaV+7/IYZv8MG9I//BSk5/4Cxht/FdY9P7jjeyzDgqmZMHWT3WumM2shhEDySFACCjx+5j4mKQOgr+4BRs1gedXVHBS/gshkBIFEYCCpll6Oh9oU5QzbD62kITwZRmymN20jXlgup8vwx/09S2G03C9KUdwsIrOQgW3ZiM/HEZ2O7hoQLIP1GmSXswhPhDF+Zrzr9FetVGPqsbKI6du6V8itZCtYfW4V07dNIzjWnaF8Nzj5c58DAHztvfdi6pZGp3Fxs4jUtRTO/C9nBnLeltIlbLy0AWpRjJ8dd+SnKaVYfGLR8fWePD+J/Drz7yWEOB7ag+ir6AXUpqiV614meSY9zRUG+H63A+/Q9oa87P9bp38qPoX1NVB07IbmvUbcKpffotPRjvLlxyoQ1EqsX8BQDedHskyLDcD+hqyD4mfSDj0tIz//i8BXPwi89meAN/58z/tuW3aDUlj3JzU1E6IsOrpA3QQHvtQcRLcjpRRqXkVho4BqvorgGOPwD6qe0Au0MjPrLm4W4Q17G30MXe4HZyvlVnPwR/2MJthn9yW1KQqbBWQWMqA2xdjJMYQnd/+btWINmy+zlM/YqbEmEbrdYBkW1l9cR61Yw9StU13rZhXWC9h8eRPz98wPbGDkgeAf33kXzt7VWBGkrqVAKW2rPdQLsktZpK+nofgVTN863SRjUUozWfXtCE+EMXZqbF/z/5ZhIb+aR7VQdWjp7aD4FEejSAkoznXtC/mgBJUdEy1TM7F2ac0pco+dGnNkvKlNkV/PNw347dJJ3aSIjlUgSF1NNWv5+JXBtIc/8jvAP/wCcP8PAG//f9u6ju0Fpm5CK2molWtOcFD87CQKxAM7OorXXliDWlRx4t4TA2VD2CZrKCtsFGCbNpPqnQjvq0EGwIqAxY0i8qt5EIkgGA8iMtW9jIFlWiisFZBbZQbm0elo3/0Itm2juFFk5ikCYQFhFwMe7vGbvp5mFp/nJroyfaeUIruUxdbCFsZOjiE+315mwY309TS0sobJC5MDOSe+di2Dd/7Ro/jAG07jHW+56Lx+47EbSJxM9Cww1wp6VUduNbeDOUUpxY3HbsBQm529AvFA313Me4FlWrj6latt3xckgXX/R/wQPSJkD5OJ6ZTmrOarWHthramGIMoiAvGAI3kjeaSWDmfb4Y/6MXf37inZYxUIhoKn/wL45I8At30H8F1/vC80Uc5hr2QrMFTWERuIBeCL+nDjsRtOc80gmotafn9VR3GziNJWCbJHRniC1RP2sxBHKXOUyi5n2WqlLn/hj3VXXHZ3PWtlDaGJEOKz/Qnd2SZzyMouZSEpEsZOje1q0WnqJrZubDHj98kIxk6PdRWQKtkK1i+tIzgeRPJMsuOgQillg4puYe7uub4pw7pp4+5f+p94y6k4fvMHmESYbdt4+csv4+QDJ4fq/7BxZaNlrp0IBOdec+5AmsAWnlhwcvqSIrGemSgb/Htt5tRVHRsvbUDNqx239Ya8TXpK7SAq4g5213aMAkE/eOnvgI+/Gzj1EPCuvwak/de7p3bdajNXQSldamoeERVxT52qvXx3JVtBYaPAinn11JE37N3X1JFe1ZFfZzLDosSMeCKTka5We5xOm1tmKpW8wOiP+fdcE+H1AF5jGT81Dn+8fYBSiyo2r2xClEWm6DoZ7vj7GTXm3mUZFmZvn+1oomKbNhafWoQ/6sfE+f5TN9/3h4/gylYFj/z8m0AIQa1cw9KTSzj30HAGY0op1i6voZxikh6izEQfuVevN+zd03lObdr3/hY3i6A2hS/qY2rB3TLDbBt6RYdaZOlXvaJ3ZVrP4Qv7oBbbBwxJaaS8k+d2b3AcBYK9YuGrwMe+E0jeCnzfZwDP4Ipxe8XGixsobOycLUWno2yJPcSuSVM3UUqx1BG1KEsdTXYnIzEouPWQtLKG0HjIMQLpymykrp5a2ipBIIITUPb6u5maicxiBvn1PHxh5pbWjjFk2zbyq3ls3diCN+zF5PnJjkVx27IdRs307dMdmTp6Vcfik4us8DoV3dMxcfzhZ1/AB76ygH/66dfhzHgQhY0Cciu5HXTSQcDUTaxfXkc1V4WoiJi7a66vVQf35C6sFUAEsi8pJdu2ndqfc1/ReuoQ3g5/1A+1qDalut21zl7O24PSGjraWH8W+Mt3ANF54N3/41AEAYD5xxKROV4pPgWeoIexkwwTi08uQvbLzN93LDhw6VxJkRCbZfz6WqmG4kYRi08swhvystRRIrjjxOTGJoOSUG6ph3QtDdu0G30Muxw357/HT8RRWCsgs8R0jbpVsNwOySNh4vwEYnMxbN3YwvrldXiCnpZOWoLAVFdD4yFsXtnEwuMLSJxkYmHtZqyCyHR4tm5sYeXpFUxcmNi130DxK5i6dQprL6zBE/D01fn7yjlWB/jylTTOjAeZveUQUkKVbMWxrJw4P9FTL8Z28JVjcaPhT0wE0rIfYRAwddMxrjc0A+V0ufOHOsAX9SF5JtlwOCM7fRsGjdGKYBsopUDmBvAnbwEECfb3/T0QnXUopAcNy7DYvrTRh9fKTOCsvFWGKIsIjgURHAsONXVU2iqhuFFEtVBFMMFSRzyPzwXkJi5M9D1DbQdTN1lxeT0PUzMRSoYQnY7CG+qcvqI2RTFVbNQRkqGeJLW3o1auIX0tjWquishkBIlTiZYrJkpZ/SL1cgqiImLy/GTHYnJxs4iNFzcQm4th7NTYrseWWcggv5bHifv2TijILmfx7X/+FE5PhfGn3/8KrDy7wjqv5wfTRU9tiq0bW8xfuwVzqFvwxsbCOmO+cSh+pavJQdf7y3sG6gO/WlSbCtqCJLQ1tgHgWJbKPhmiLILalLEIt+kEuZlDrfbB0i3oKvMz0VVGJQ2NhTramh6r1BDXg2lyFHM1h/HXZY8MQ9tZjRdraUx97b0QzAo2Xv2nsMJnIHmkhm0dBYhIIEoiRFmEKIkQZMF5LnvlwTGV+oRe1VFKM+11o2Ywl7LxwXQVt4JRM1DcLKK4WWSso4kwiqkio7wRYOri1EDYJu3Ai8v5tTzKmTI8ge6kivln1TxzYatkKvCFfYjORRFK9KaNxFHJVpC+noZe1RGbjSE+H2/ZWGgZFtLX0ihsFBCdiXbUHlILKlafX4Uv4sPUxfZaQ5RSrL6wClESMXlhck+TmMJ6Ab/8t5fxqWtZPP9Lb0HmpQ1EpiIIJvpfHduWjY0rGyhtlnaVnwYaE5ztlGbeZb51Y6tp9t9rurDTflZyFRTWClCL6q4DPcDqGnz14VDC670DrSTvdVXH2gtrTiE6OBbE9K3TjshhcbPomFjxwb+VLlF0OtqxLnSsAsHqc6uwLMtpBuNuYqIstmwSa4KaZyJy2RusJjB7X8vvsC0mQGYbdSEyg9lW2qbNInRFh23aEGQBip81j/G83kD8D/YA7shUSpccL9fQeGgoKwVKWXE7t5xDKe0yaCHAzG0zA218agdTM1HYKCC/lodlWohMMlnsblYJelVnK4SKxuQmZmOITEV67hCnlKKUKiF9PQ1qUSROJnZYYHJUc1VkV7KYvm26YwHbqBlslXV+omOD2+KTiwhPhjF2cqynfQeYEcpH/vEKPvj0Ot562yT+w+kIZu+c7btXwbaY0Y6hGQ4Ndzdkl7NIX0sjeS6J2EyMreI2i8gsZgCw32NQs39KKbSK5jD21ILKKJxqawonEZg3OFfeJQJh13kXjaKldAkbL240DeyyjxlR6RXWNyBIQldSFP6Yv2NH/7EKBHuGUWOF4eXHgHf9FXD2m/r+k5ZhOY0gWpXxgk3dZNITnIIW9u2r8TWlFHqFrRRKqRIEWXCcygYdFFJXU8it5nYUyzwhD+bvmt8XOWCuIVTeYqkDZ5XQhZyFqZvIrzFbTmrTPdcReJE4s5iBP+p3qLj78T+vFWtYenoJs3fO9lynUYsqnn58Ee/8/DUAwD88fA4nHzjZl4yHbdpYeW4FelXH7F2zHX2cTd3E9a9fB7UY8ydxMoHCWgFGzQARCGs67FN63dRMVHIVNvjnKrD0ndpAgijAtmznuvWG2eDvDba28dwNtUING1c2WCG5A7ZLUbSD7JVx+lWnd91mVCzuBNsCPvGDwOJXWZ/AAIIA0KC/bc/9WpYFraRBLahIXU05Mxq+7V5Orm7B29w9QQ8SJxPQypozM7FMa6Dpo3Km7AQBURYdy0etpOHqI1edzt9AbHgGIYQQBBNBBBNBxOfiKKwXsLWwhdS1FMITYaeW0AqSIrGmrrk4iptF5JZzyK3kEBoPIT4X73pmzIvEkckIsktZrF1agy/CCoLDlkjwhr0YOzWG9cvrOHn/yZ5my6IsIiEJOD8RhCwKoJT2FbzdQWDurrmu6gFbC1tOJy+1KbaubzlOeJ2MhTrBMiwsPb3UVstfkAT4o34E4gGmBRTwQPJ2v6LnyqNaWYNaVFFOlWHoRk8sIiJ2+C4CJx3dq7yLG6NAQCnwuZ8CXvws8NZfB+747qF/pSiKjlcA24VGESq/mketXIMoifDH/PCGmJH9MBq5CCFOHpNSCrWgopQuMYljj9x3+ogvVSVF2jHQa2WN+RVf2QS1KULJUNepm71C8SsYPzOOxKkEU01dz2PxScZ6ikxF2spRCKLA1EGnIo7Q3eKTjK8fm4117bMsyiLGz4wjMhVB+loai08uIjIVwdip7prM9orYbAzVXBUbL25g+vbuZatFWQSlFA/fNonf+eJVlC4m9nwe2qaNlWdXoKs65u7ujhqqVbSWjWVjJ9sXU3uBIAnNchGE8fYDsQD8cX/P56JRM1DNVVErM/roQHwGCPu9ZZ8Mxac494pPgeyXIXvkgUyiRqmhL/4q8KVfB17zU8CbfnFwf7dPmJoJtaiikqmgWqhC9sqOV/EgbCl3Ay+cltKspiD7ZISTYYTGQwM3+ODfVdwsopQuwRv2OmYi+6F3pFU0FNYLKGwUIHvlrjnyXOjOqBmwTZvRQnv0R6jkKkhdTcGsmYifqKuc9in61w6mbmLhiQUk5hOIzXanVEopxfVHr2MjFsC7//RJ/OK9k3jvv7635/+JbdtYfnoZhmp0HQT0mo6Fxxda6vp0I6fQLbYWWKE5EGNGTr2sePg1yn0GQLDDF3kvCI2HEJ9vKOkSQgYz2I9qBG3wjY8Bn/p3wD3fA3zr7+5ZP6iULsEb9Hbs/Nwr+IqhkmV5TL2qwxfxMReymH+os0lqU1QLVZRSJZS3yvBFffCGvENhH9mWjXKmjOJGEZVsBYpPQWgihHAyPBDD9k7fbdSMnnnyhmogu5JFYb3A5LRnY4hOR7suLLuZL4IoIHk22fUKo1dUc1WsXVrD6Vee7nrAu/7164ifSeJVH/wXPDwbxm/+8Kt7/t7UyyloVa1rN7dKtoKV51YACgiygEA0AE/QA9krQ/bK8AQ8+243yfth+KCvFtUdRVzZK++qCyQpEuv/CSiMFWRTGKqxo1Ywdevu7Dpqs5STc1MNZlPbgc11bAMB9xmwbRvUpqB24zFZ/io8n3gH7LkHYf3rj4NIssPzJQLp6UK89rVrTjPMMOmRHLZlQy2oTmBQAkxJNZAIDIQy1w5cMrqULqGSqUD2yU6hedADtambTkFbLahslTARHhrTqV9YhoXcaq65sDwb67rr2jIsZBYzqOaqkDwSkueSQ6H59tpYtfLsCkLjIfzoZy9jM6/iH//3N/T0feWtMlZfWMX83fMd+yQss06lXS84JvWdGEXDhKmbUPMqqoUq8qv57j5EAFESGWU06HXqcYpPaTurN3UT1RxTNuXsJ34NF1PMUMpQ2aCvq60VSKMzUUycG9FHHSx9Y8nh/BMQZuwgEAhCfYAXCOTqCpJffAcsTxzpN/wFbCnEAoTVCBagAAgAyir3lmlB9siO2Qx/LMoiFp5YYHRRUUBwPMhofUNa4rcCXy2UM2XoFR3+mB+BRACBWGBo/Qy2ZaOaq6KUZisF2SsjOB5EaDw08O5To2agmCqilGI+r76ID6Ek657eT3mLbmBbNpNiWM7B0AyEJ8KIz8W7/k20iobUyymoRZWlceaHly7qBpsvb0IQBfz3pQJ+4+9fwuM//yaMh7o7FlNj6ajYbKxjTr+SrWDjpQ2Ymon4fByJk4l9P27LsJjUdE5FJV9xisjtmDuCJMAXrjOIQuwe6F0e3rbsRnOYy2vAqBqAgJYspu3oRpn1WAWCjpVzrQT80TcBlRTwvn8CEmc6fifv5jM0wzGbMTUThmY43gJuCKKA6GwUsZnYvks42yZrgKlkKqjk2Kyds2aGRVO17eag4A154Ql4EBzvj9bXClqFsZwK6wWYmsmCQn1VcpgMyrmbVm6VdSz7Y34kTiS6Ygnx/oPU1RQEScDEuQkE4t15Ewwa3BA+Ffbj23/vq/idd96Db7lruuPnKKVYeWYFADB712zbc8A2baSup1BYKzB5jFumnAF12LAtG9V8ld1y1bY0TU4d9Ya88Ibr/gJ7pH1TmwkgltIlp1Fst3SSElDaspqatvMrOPWKU7tuc6zoo7v+YygFPvuTQOZl4D2f7CoI8L/JVwLbUdgoYOOlDafjmH0AKKVKqOaqsAyL5TXrNnTcim5Ysx1BavQF8MauSqbCjNIl1uAWTAQHykQSBMEJNtSmTCU1VcLqc6uMvjnGVgr+qL/vohf/DRMnEqgVayilS8guZZG6moI/6ndWCvsdgLeDEML2ZTyIaq6KzFKGMY3qAWE3Tj8hhNFqEwGmMfTsCkLJEJJnkvse7GSfjMJGAbffwkxP/vKxpa4CQXYpC62s4eQDJ3cNAhsvbaBaqB7IKqCar2L1udWW73G2nj/qdxrFuGaRVtE6BgFOHdUrOrSK5vgL6FUdsk+GXu08uAPo6hrlKe0RfbRbPPVnwHP/HXjDLwCnXzeQP2nUDJYSSjBOvC/i22GywbnEWkVDOVOGVtEgiiyPOMymMkIIfGGfo4qpqzoqmQpyKzmsX1p3CkzBxGB8iwF2UrqDQjVfRWmrhPUX10EtikAigNBYCIF4oK+CHyHE6bsYPzPuUF+3bmxh88om/DHWuMU54AcFQggCccb2UgsqMosZLD+9DF/Eh8R8YlfpalESMXGOicxtXtnEjcduIHkuyQxx9qkBUfEpMFQDYj2AP3It0/EzRs1AJVdh3sNtzitTN7H63CpM3cTsHf13K+8FbiVXT8ADf6wx8LdK76hFlSkXGBbGz4wjPtfQXLJtm63CMxVn4G8nN92N0QwHD4ySR2LFch8rmCs+xXkuymLf58NNlxpqi9Rl4EOvA048CHzPJwZmLsN/v17/EZZhQS0y8apaseYwVrwRtuz0hrxDNYGxTAvVbBXlTBmVbAWSR0IwEUQgERhKQxullM3gt0oop8swdSYO5w16nbTVoL5HzasoporQVWYq7ovW00djhyN9VCvVkF3KopQuOY19obHQrp9xO555g15MXJgYmmZU0/faFCvPrmDmjhmc/vm/AwA8+n98EyYj7QfuzSubsAwL07e1XjkYqoHlZ5dBCJOHPsjifyVXYY1iHSYLXPCPX++eoAfRqajjKqhVWO2qG7MZgPmI8Nw/X6k7UtPcStcnO7XKQYwFx6pG0BK2Bfzxm4HcAvCjjwLB5FD2rR9Qm2mccFXDWrHGOpOjbEbvj/qHVvjlg3Q5U0atWEOtXHNmscOYUTfJXNRzpZ6AB8GxeiAaUFOZk6aq1y5s03YKzYchKOhVHZmlDARR6Mj44DA1ExtXNlDNVTF+ZryJYTJsfGMph+/4/Ufw++++F2+7Y6rlNkbNwI3HbuDEvSdadg5rZQ0rz65A8kqYvWP2UIgz7gZKKTavbKKwvrOxbTva5fO5/hBPa3oCHti27ZjK7OU3sE1GdzY0w5lEdpIQOVY1gpZ49PeB1SeZfMQhDAJAQ7zKG/IiBtbwo9eYXWU5U0b6WhqCyFrefbG6P+qALiJ3moVSxm0uZ8pO568n4EEgEUAwERxIk5db5oKnrMpbZVQyFWQWMxAVkaWXxvqrZWxPU/GgsHVjC6mXUw32UWJ4Mt27gRdHe5mMSR4JM7fPoLhZROpqCqV0CZMXJvdldXD7TAReWcBjN7JtA0F2OYtAPNAyCFQLLCfvC/uYuN4+2p72AsuwUMlXkF/JM3ewLv49RCAQZbFpwFcC7HE/ad9SquQM+GbNdB5vV0GNzkT78vy46QLB2qW1phycUMtg5p/+M2oTr0Vavx94ahEAa+6wLZvJSEsCBEmAKLoeS82PD0I1VPEqUKYUR8ffUA1U81WU02WmYy83pCoG1YRECJu9xP1xxOfiDRZStoLV51ZBKcvzB+NB+CK+lrPq/HoelmExw5Uu9knxKYjPse+zDMuhwq5fWocoizj1ylP9B582QSG/lkfq5RS8Ye/QxPc67luPx0YIQWQygkAs4BjcjJ8eR3RmuKsDWRRwz1wMTyxmW75vaiYK6wXM3zO/4z1DNZBZzCAQD2DqlqkD8R1uB0Mz2Eo8z1K13YjBAUzHKTrFtKoUf/s+gd1AKWUMxHpjmK7qzmNDNUBBO0pfA4BZ66xQuhtuukAwfnq8qUgjfv43QagB6Vt+A1PxRs6SggKULbG4hLRt2rAsC2bVbHpdkATWQg5X0cYrQ/KyfgLZy3oKhj3DkX0yIr4IIlMRpwhdzVdRzpYRSAyHXridhaRVNFQybKBeu8RcsAJxps3ii/ggCAKyi1mHMTF5YbKnC0SURYQnwghPhEFtCl3VB19EdwUFy7KYnEaqhMxiBulraadzOjge3JeZ9l4heSRM3z6NUqqEzZc3oRZVjJ8ZH2pvxQOn4vjdL7yMUs1AaFvAzC5nEYgFdhR+bcvG6gur8AQ8mLgwceBBgK96uXfGrsVbwgq21KY7Vm6KX0Fkqr1b3I7vrXcEqyUVpc2S0xm8m4ex4legm50ZRq28VXrBTRcImmZz+WXgmT8H7nsvlNmLff9tatPGEq2em6sVas5jySOxBjTXstAT8AwlD0oIccSn0HqVPpTv9Aa9jnTw+Jlxp7t5/RKzGvSFfc6FVUwVYWgGZm+f3RNDiAhkKNaIboii2MxyqvdDZJYySF9PwxP0OEHB4x/uvuwFnGrqj/mRvp7G4hOLmLxlciDmMa3wwMkYbAp8YymP154fd16nlKK8VcbUxZ0nY+rlFECx742WbvCegUqWMXuMmgFfxNcUBIhA4A174Y/4HTYfP2+5Oc7W4haMqgFRFts67lmG1WgOc99U3WlQ7UZaGuhCfdT1nf3gpgsETXjyTwBqA6/+3wby54jgGnxbYDt3OL+Wh17RYZkW8xd2BYjD4mLWDyRFcvyD+YWSXXalDSig5lVcf+w6kmeT+yK/0Q+IQFhHdiKACXuCUV/TJeRWcihnyrAt21kdDTtA9QpJkTB5YRKF9QLWXlhDdJq5nQ169n3vfAyiQPD4QrYpEGhlRpfc3gyWX8ujtFXCiftO7HtNQFd1Z+Cv5qvNM++6FEQwEWzIv4fas+Usw0LqWsphBU3fOt1UU9PKmnO+dBqUuzGa4eC/GXc/bMpCuB73q7108wYCywCe+q/A+YeB6Jzr5faev/3CPUt3u3DxFIdeYQY1lSxrX6egToGYW9r16oJ1WMAlrZvSOHWJDku3sH5pHVvXtxyhvGGyoAYBIjT4//QcdS7y/GoemYUMFL/CgkIy1DAZP+h9JgTR6Sh8YR/WLq1BLaiYunVqoOmtgEfCbdNhPHajuU5Q3irvqFOpRea3MX3b9L6l2GzTRmmrhOxitmEvW4eoiAjGGTPNH/N3fa3VSjWsPr/aNIBvLTCvZXe/gC/q62pm7t6GiASKl1FFZZ/c9Fj2yLBtG4SQoQfRmzcQrD4JVNLAXf+m6eW1S2vQqzomzk8Mbfm8HTzF4Ql4EEKDL24ZlqNoyM3TCSHwhDxOcFACCiT56PybdFVvsu/jOiymYaJWrKGaqzo8c2/I6wQFb8QLUTycgWFHUChUnUJzZrERFILjQXgCw5fO7gRP0IMT951A6uUUFp9YxMSFwYoh3n8ijv/29UXopg2lPhMtZ8oYO9Vsh6lXdMTn40O/zrhXdWGjgPJWGYIoOIMtV+kNJAI9/2/0qo70jTTK6XLL93bsR4tcv+SRHJta983UTMjezs1g4oD6nTphqCMMIeStAH4LgAjgI5TSD2x7/90Afrb+tAzgRyilzwzky2/8CwACnHyo6WVTZzpB65fW4Q3tX2NOK4iy6Aww7v3TSpoTHHgxieuc+MI+dkIfItaFG/N3zwNkJxNG8kjwBr2ITkebfGGruSpyKznHV9rd1r/fUsPdgAiE+ULEWFDgvg359TwKGwUQgTDvhuTBpo8EUcDkLZPwx/zYfGkTakFF8kxyIOfNK07F8NGv3sCXr6TxplsnHM2t7fTFXgqpe0GtXENxo4hiqug0Z8leGeHJMJSAgkC0e9FFalPWHFZkE7NyptwVW8eZ5AVZujcQCzQN+O1m8odNLHFoDWWEEBHAFQBvBrAC4HEA76SUXnJt8yCAy5TSHCHkYQD/iVL6yt3+bqeGstTVFNSCivHHfxxyeQkbb/p008DUKldIBILxU+OMKiqLDmWUU0h7laUeJHjdoVZs6KDrKmvA4uJX3rD3QOitg4Jt2Uz1MV+n8JUYd3u73sthDAwcboe3UroES7fYSiF58DUFvaojfT0N27Qxfdt03ym5lzZKeMsHvwwAWPjA21HYKKCULmH2jt3VLwcBUzNR3CyisFlwmrcESUAoGUJkIgJvuLtmRNu2UU6XneZNraz11M8BANO3Te+b9/QgcFANZa8AcJVSer2+Ex8H8G0AnEBAKX3Etf2jAPo+k6IzzFJQel4CoWGMnxln/2BaX0IWGg5CfIAnEoFlWjBqhkMZdVNKJa8Es2bukKB2Hnulgeh9tIK77sC12W3bhlbWHMmG9PW0Q191S+Ie5hy8G4IoIBgPIhhnKQTut1DNs+CQXck2AkPdvtMX8R24sJwbhBAnaCXPJllQSLlqCgEF4fGwU1PYTyh+BVMXp7Dx0gYWn1rE7B2zfe3DhclmOQytrPXVzNQNbNNGbi0HNc98OEDQ8LxOBLpiI3ErSW5UTwTSsnAre2UmDFm/nggh0CoaaoVaU4/BUZ58bccwr6QZAMuu5ysAdpvt/yCAv2v1BiHk/QDeDwDz8zubVdxw0jySAIhkp5gVZQOPJ8gULP2x9qJfbtiW7UhPcxnqSq4Cs1aXpTZMCIKA2Tv7u8i6gSAIjpgc70I2tMaqIbOUQa1Ug+SRmvTSPcHDm1JyQxCFppSZOzBUchVkl1ihUvEpTIIjwjqtezEWHyaagsK5JNM+SheRW81ha2ELofEQa2BLhvYtRSCIAqYuTiGzmMHiU4uYvm0agdjee0/efscUHl/IOqyZYQUCbviTW8nBNm2EkiFMnJtAKBnqONHhxjJ84N/eL+ANeR15aX6deEPeXScYpm5CLajONXizYJiBoNUV2XLtRQh5A1ggeE2r9ymlHwbwYYClhvrZqeS5JPxRf891AUEUnLxfO9iWfWADkeyRIY8zxzCgrl1U1ZzgkF/Nw6gZCI4Fm1YOw/Y/HgTcgWEc47BNG2qxvmIoqChuFEEpZYGvHhS49/FBHxshhBXEY37Qs2xFWk6XkV3MIn0tDV/U5/hBD3sFRwjB2MkxKH4Fa8+vOd3Ie8ErTsXxuefWsV6oQa/pA7dpNXUTuRXm+GZbNjP4me9s8GMZFvKrjLK6navPpVT4/0P2yRCl3lbykiI519jNhGEGghUAbofpWQBr2zcihNwJ4CMAHqaUdta47RayD1BzO15u1wQyCBwm7RQiuJq/6g3VlmmhVmB1hnK6jK3rWw3DDZfphuzdXRtFLbBZVmI+cSArDEHatmKwbVY/KTCJgPSNNAvKQl2Gu84T94UOts7gLjQnzyZRyVUczaDNlzcRiAcQToYRTASHup/hZBiyV8bq86vMS3gPReS756IAmBDdOdUYmCyHqZnILmeRX8uDUorIZIQZue8ycbMMC+WtMoqpIqr5KnwhnxMEHGZazM8axA7RNXqYMMxA8DiAc4SQUwBWAbwDwLvcGxBC5gH8DYD3UEqvDPTb514JXPoUkL0BxHd37jkuECXRaZgCXIXoOoU1v5pHrVRjRjPj9ZVDvb/BzZXPr+dR3CiivFXGzO0zB+4hLAiCk4oBGjUUHhh4nh5AwwOifjso9oZb5sK2bOYFvcl8G7iWUHCcie4NY1XjC/tw4t4TWL+8jtTVFJJnewsGF6fCUCQBTy3kcMtY/5LplFIUN4rYvLoJ2EBkOoL4XLztucUH/1K6hEqu4uQa/DE/gokgYvOxgQozHkZQynSITN2EIAp9XYdDlaEmhLwNwAfB6KMfpZT+Z0LIDwMApfQPCSEfAfBdABbrHzHbVbU5upahLqwAH7wDePDHgTf/Uh9HcbzAJaJrJTbDrpVZgYw3jHmDXhTTdbpeXYdl6tapfevJ2At4Hpv7P6gF1eGBc7VILilw0HUUy7BQ2iqhVqw5Ju6RyQjCE+Gh1J5sy8bq86sQJRFTF3sTg/uuP3gE1LLxwVfPtxSa6xZGzcDGSxuoFWtInEggPBFuKWZom7bDyto++IfGD4cz3SDBmU2mbsLSLXZvWI3nhun8BtHpKCbOj8zrHWSXs04zSfhLPw5l9Z+R+/Z/gB2YcqoWjqk9YfeCIEAQ2Y2IxHnMnxMyGPpotcC0ThIn9t+Yux/Yls2CQ5mllYobxR3biDJz0/LHjsYszDEqrwcGrcTog+5mOB4cDup4HKrkRgF6VYcv7EN4kjGPBtmBzoOBIAmYvjjddTD4lc9ewsceXcQ/vvMuzLUxodkNlFLk1/JIX0/DH/Fj4vxEy1mtbdmOQJxaYBIPh8mWtFe4Z/KmZra8t3SLMZoEgFqdx+jgeBAzt83sus2xCgSFjYITCITSMiKfeDOM6deg9KYPAWgMvoQQ2JbNbrYNatHG8/qNv+YJeKBXdYiyCFER2X39JslS02uSIrHegxaBI3UthdxyDpJXwsytM/tm0j1IaBUNC48v7LoNbx7jngOeoKdj3eGgYds2tFLDGEgtqM55pPgV+KN+J62035ISlFJoJQ2FzQKKm0VQmyI4FkRkMgJf1DeQSYVt2Vh7YQ1EIJi+tbtg8Nln1/Bjf/ENfPTtF/DGh8729H16VcfGSxvQKhrToWphv2nqJvJreeRXmax5aDwEf5ylfg5i8Of6YaFkqMnmsh2oTWHqTGLaYRzWTFimhVKq1NV3Sh6pK20iX8TXcVV2rIxpIpPubsY4UPxlKH//s0hc+zDwxp/f89+1LRuWYbFbfVlmGRajbZZqsAwLtm1Dr+qwTRuiIjb1G0geCdU862EwayaWnl5CdDqKsdNjR2p1YKiMgscLtsGxIAIx1sFJbQq9qjvpJLWoIr/GLmKu1867MB1lVmU4/Re9QhAEZxUANOonakFFrVRDNV9Ffi3PtpWERhGa24oOsbhLCFPF9Ia9TPE1U0Fxo4jUNabqGZ2OIjwR7mvlIogCpm+fxtoLa1h7YQ3Tt3UOBvfMM+ryC+kK3tjj95W2ShAVEaduO7VjUNerOnIrORQ2mCtYdCqK2Gxs4MykbsFtQlNXU6A26yY/+cBJ533bYm5hxc0i8xGoD/im3noA72UCKEgC0IVQabvv6hY3XSDYgVf+ELD5HPDl3wAkD/DQTwN7GHh4qqibggyllOXytvUdGNUGj5naFLkVxo/m9ozc54D7GxyGAXI7AvEATj5wsuWsmAgN5zEOSiks3XLa9/msigcUURKhBJtt/GSffODLfXcjH59cWKbVYCcVVWSXsrAtJkPQVIQO+4ZWQBeEhj+EqZusaa2eXgknw4jORPdsBC8IAmZum8HaC2tYfWGVuYjtMkmZjngxFlDwwlal5+9qZVqkFlRkl7Mob5UhKiISJxKITkcPNNVoGRY2XtpAeauhN6RVNKxdWoOpmdBVvUneohtjen7OdIKkNDxORKWRfZAUacfzfq+Xmz8QEAJ8y28Dpg584VeAwjLwtv8bEIc3uyCEOP8c90XpzChFAZRS+KKsO9Yf9cPUWKMKN8owNROSIsET9DgBSPbWVQkPMFD06hFACIHkkRD0BJsKyrZlQ6tojmS3VtZQSjEJX163UQIKPP7hezt0C1Fq1obimkmcklvJVlBYKzT1NPCVwzB6GiRFQmw2huhMFGqerb4Wn1pkmk4zUYTGQz2zeYhAMH3bNPJr+Y77SwjBVkXH31/vbJzS6rMctmVja2GLdQxTYPLCJEIToQNZKfOJSzlbRnGj2NaqslVqZ9dVIYGTIeDWlZKHjRHOvesxXylzGjR/nF3OopwuQ/ErSMwnBnY93PyBAAAEEfiODzE56n/5f4CN54Dv+DAw1j6vubWwhUqmgonzE3ueYblBKXU6TqPTUdYWv8tFSmk9v6g2LOwquQqMNWaCw6UvFJ/SvJLwSl2pGh40BLHRHe2GoTFtdy7ZXSvVUNgoOPpQoiw2+8F6ZSh+5UACo9uohzdmmbrZxE4qp8vsfy8S53i5KuugCr7upjVTM5FfzzNf5qspRKYYDbOXGSMRCGKzsZ724amlHO6d7+0zAJOv3nx5E5JHwsS5Cfgivn35P3ImmV5l55leZTLxelXvesYONMtIc88ALjvjDPxeec8pUD5GlLfKSF1NOSsOraJBCSgYOznG9pd2CESdjuNmKxZ3xAufBD7zE4CpAa//OeBVP8JSRtuwdmkNpVTJkSBOnk0eOF/eDdtkeUm9prNgUTNYCqbEHNMIIc365ttWE0fJ94D7ujoriKrmCI7VSsxClIiErR5cyo88UBwkHdS2bMa2KqjOysEyLFZD8soNN6zIYNlJ1KYoZ8usnrBZdALCoM/hX/v08/jQI4v4vXfdi7ff2b1VnlEzkLqaQjVfxfjpcUSmIkMNALzTniv7GjWDrUD2iMhUBGOnxoY64TJNE5kbGVSyFSeV6gYhBCDs2CJTEUxemNz17x0r1lBxswjLsByPUUppw2+Ush+NVDYQeeI/wbP6BQBAbe5fofDQ74AIAlMjBUFpq9T84xOWp0vMJSB5JYdy6tBN688h4MCLv9RmA6c7SDiG2DUDik+BVtEaAWL7zScfiQ5M7gHrzOoqDVtAPqsjhMAfZ01ZTZrwvoNxiKOUmRS5O6F5T4PTzxCtaye14NLvBXpVR2Ypg1KqhFAyhMR8YmA9CVu5Ku7/9S/iZ996C37k9We6+kx5q4z1y+sIjgUxfmZ84PUgatdTdiWmKlor1ZoMZABWsOU+5ILE5GOciURAaawyQZgv+FYZ5a2yU5QdOzWGxInEnvbPUA1oFY3VEeukE4eEUq877OZj3Aqh8RCmO1B4j1UgyCxmWJ6ZEDYTrEtQO0qjhAACW/5KS/+MwOe+FwBgJm6Ddu9PQD/xJgACcqu5HYEAFAiMMaVDalHYdjPN1LaZWikhpEnO2rmXG8+5QuhBwDTMRoBwB4oaYztQSpus8SRlmz3eIU898bQaDwymwcTH9Kre5A4lKmJj9VAfBHhw3M9j40JmXFiPyyPIXhnBMWalOAhHN6NmILucRWG9gGAiiPh8vO+0J6UUr/6/Po97To/h9959b8dtuX7QxIWJvkTvtsOoGWzAzpRR2arslJQmLNB6g154Qh4oPsWZHHSbtqGUolaqQa/qCCV31jA4XZQ3f5mGqxGMv6YzQ5pqrtrmW/YGf9SPubvndt3mWNFHe4rSE98G3LUOfONjkL7+B5A+/34Exi8Cr3gfSngQBhEdc/BOeidu2JbtSFk7stZGQ97aUA1IsnRggUCSJUiy1FI9sak2Ufdf5hRZNyWOCMRJM8leGeEkM1A/DCCEsMDlkZtMfwA26G43Fq/mqiisFZxgTwiB7JedACH7ZCdQDIMmyoXMuJjZdnZSfi0PalN4gh4mpRFj6aRe03uyV8bEuQkkTiSQW8lh+ell+CI+jJ0c2/O5SAjBuagPz67kd92O2hSpqynUSjXM3zvf9yrA1E1U88zYqJqvOpM2fk57gg2XP2/QCyWo9L1SJ4S0rGsB7Lq58uXuVHKGwYizzJF5fX9Q/MAr3w/c/wPA858AHv094HM/Dd6aYb3nsxBPn+uJcsqppoNa2u8n3INoK1CbwtAaqwe+krCs/k7E/QJnZ2xvCLJtG7qqw6g0Uk2GyvLI7s5OSWHWgzynz1cUgyxWb2cncVE9PvDlVnPMnyHsMu7pobFMUiSMnx5HfC6O/FoeqWspeIIejJ0c29Oq4+KYH196ZgP5qo5oi5STu1lt7u65PaUdeSc4H/h5jQiECcuFxkPwx5iqsKRI+14X4lmAbjyLbbvLYjQ/hF2SNmOnxhy2UT84eiPVsCBKzN/4zv+V+R1/4n1A7gbEP/9mIH4GuPPfALd+G5C85aD39EBBhAa//maCIAjwBrzwBppnxpxO6DBL6jeexuEgYv13ceea66mmfustTaJ6J5v9GbhXL7WpEzwC8UBXs05RZlz92EwMWwtbWHh8AWOnx1p2+e6GWydDwDMbeH61iNecG2u5TSAeQHQm2tPfpZRCK2sobhahV3WnuOsJehCbi7HfJOI/NM51kiI1px7rSgR88sEfC6IAPaI3egFcSgWiIrLaY/134vVN7pHN6xoAHE+VQeCmqxEMFGoeuPwZ4Nm/Ahb+pfH6a38GuPAwMHU3cIS6gkcYLGzL3pFm4jde7POGvbAN2ylAcjbTbn62Pe9H3Z+hkq2gnCnDUA14Q17HtN0b6s6+UStr2Hx5EwAwcW6iqTFwN9y4sok3fPSJngrGu+5HhfWUFFOsU9cX9iE4HmQsqwHUSoYFtag6PUSiLA5sVUIpRSVbYfRRV90yPh/H+Onxrv/OsSoW7wXUZswi27adx03PKQUprsD3568F9U+AlJZBaGN5V3vzb8OcfwOoLwYCV4GaF6ZJo1DtFLC58J3AmqeOgnPYCN2B0131qt7oi6jz1N1SAJJHcoKC7JOZ5HfA03eA0FUdlUwFlWwF1XzVMfYJT4R31Exa7XspxexPQ+MhJE4mOtYiSlslPPzhr+POEzH8/rvv29M+GxqTaCilmKGMJ+hBKBlyvBOOEyilsEwLZs1EbjWHar4Ks7ZTQkIQmce6bdkIjgX7oo/edKmhSrYCUzd3+A5v9yKWPBJq5Rqjk6LOKhIYFZQ/5jfFq8DUA8C3PgkAEPQ8vBtfRvSZX4VglOD9/I+DgsCI3gJt/FUwgyegJh+E6ZsCbDRorJQ6zxW/ArWoglr11+uSztv3QRAFiIoI2Cz9IEhCkzpq060ududsU78fFgOG2hTXvnYNvrCP9VkckBbMYQMhxKHibodlWk3NS1pVQzlTdggFAFhxut5J7V5BdDtZUHwKlFkFsdkYbMtmFp+ZCrSy1jEQcHJEIBFAZiGDhccXMH/P/K6DsS/kw/moD8+tFrraPze4FWUlU4FpmIhMRDB1caqn7vWjAGpTZ+zh/h9NY5RVJ5fUSSXdgItjAuiqNrEbbrpAUM6UWcNOnaYpKRIEf4O26aZ0OgNuzwPlLIDbgW/+UcAygNWnQG58Ccr1L0G5+mcAtZmT8OSdwPyrmEnO3CuAyFzLojPvdbAtu/meq6Ka9g5lVMtg7CP3a6IkshOs/nkOd1Dg97JPBrWo87zd7yNI9R6JFoqq/MQtZ8ooZ8uIz8WZxPYR6EE4KIiS2JJ5wj2xtYrmNM6V0iWnxwCEDfCegAdjp8a67gMQRMExwOl1P5Nnk4hORzsWIiWPhHMRD76wlG9bMN4OUzeRW84hv55HaCyEyVsm913VtV9QSp1r0dRMFtANF1vQ9dhNOPBFfI6c9qDQSzd0K9x0gWDi3O7mDAOHKAPzr2S31/0MoFeAT/4osPYNwBcFvvHfgMc+3PyZV7wfOP8WYPIuIDje8EUY4ADKA4p7xuGeeVCrznk22Um8YwVlWU7bOp+hOIGhHiyaXKkpkF3KIreag+yVkZhPOB3MfHvu7TDCTrg9sd2euFzR1QkQVX1f04jdBpyLE0HguU08t1rAQ+fa561t22bnyUoO4YkwTt5/8lCnfirZCusG161G45frxlPrgij0PRj3g36/e1QjGDYsE0i9ACw/Bvztf9j5fngGmLoLSN4KZF5m6qgTdxx4EZqvUpyTvkWaTatqKKfLnf+YC05gqDekbV+FbG/E42kv/nxvK7gRhg1eMAaAhQ+8veU2tXINGy9uIDgWZCuNI2Aos3ll0xGLHBTcXc1u8HQwV0Hg8hHt6KNEIIjORB1RymYJ/hbbH6cawWEDFUTQ5B2gY7fjuv562KYNwSjBU7mCQO0q/LWX4UlfhvDS37IPXPoUqOyHHT/PbokLsGPnQBO3gIZmAIE4BWmgoTfihruL2hk4SfPr3I2r3aDqXqW0m7FVshUWCOqNWJ6QB/HZOIJjLA3RqjbD7911HJ4S4c+bltFhH1OAdO3XjuBR79qWZMl5v2Vn9yiQDA0TyVDb96hNkV3OopQuYfLC5EBEHPcLrRhKRCQ7aZ+yCF3VnTSqW0nAfS6KsgjbtmHWzKbzkn9Xq3OTO7TlVnKNVCFYN3HyTHIgxzkKBG3g5P7qPqHu1Io7feJ+TZRFR9PEudVXXEQgTt7elkNQo/dBBWNYSF4Jol1D/MXfhOWdgGjkIJeuQb7+BXgu//XOfZOCyJ/8Hhj+eZiBeei+OdhyCJ6AB2pBdWbzu4FrpzvBYvuNMDaTJ+hp64XKayyh8RBis7EdF/hem+rcaS1Lt1oHE6PxXFd12CUm1+u+UFqBEAJPyNNUR9ou/yFKovOaIAmQJIk9HmLh/aij3eBOKesoJiLB/D3zR65+FJ4IO82D/DaIY/D4WTG8mqsifTmNWqnW1m5SEAVEp6OITEWg5lUU00UQECRODqaHADhmgYB3xZpa3V2sZuxwHOOPqU0dK0rZLzv5clGsF6G9EhRRaXqN6+g7jB9OC63TSa8+chWWbjlsoMTJBKJT0UbO98GP7NzpahZIvwikLgGf+2kAgGCWEb/6ITStGf0J1viWOANU0sD1L4G+5/8DTZwFfElQNJpTOD3NYTS1oc9yzaF28EV8OPfQuYEPjkQgEAV20WFnN/+u2F4bcUt78HuACX/x14ya4QSW7fCGvI7CKYCdQUMWnZmeM/Pjg4ZrNnizBxBBFPC+u6fwx8+so6qb8CsSKKXYvLLJGsBmepeoPgzgdZtBQ6toSF9Po5JpKKCW02XUSjVIiuQQRYrpYjOl3Wpco+uX1p1r1h/rb3Vw0wUCLjG73SfU0JhMsyiLzDSkztoQFRGekAcBJeB4Dg/r4hUEAVSiGDs5hsh0pDtJAH8cOPEguz3wvsbrRg3I3QAy14Dstfr9deD6l4DSGgCA/Nk3s6yR5AUis0B0njGXovNA9ATzZ4jOA+HJPdckDtsA1xREegRngTStOiwX+8MVVPhjHkQESdjVncqdGvCEPICNHamFplnnEQwet0wEQSnw0kYJ98zHkF3KQvbKRzYI9AJqUzaBdHmf84HbtlgqtFaswTSYGGI7iujik4tNz92ZhN3Qb8H9pgsEmcUMbMt2zCGCgWCTScRBLk1n75wd3D7IXiB5kd22o5xi3dDx00BxDcgvAvllIL8ErD8LVLfa/93bvwsITQHh6eb70BQg9T4z4vzpo1AYJIQ4aSEZvV1Yts3MQZqK664A4jyvS6RrZa3BPGlzoQuyAMWrNNkSuicrbomCw9CQeNfpMQAv4/J6CbeNB6BXdUxd7N6j4LCB2hTVQpWx6qxtSsPbKN2EkCbJkUGh20DQq2z1dhz+q7NHzNy+M8d2WDCMJWZLBJPAg/++/ft6BSissOCw/jSz8ORYfQoorQPmTlYDAuMs7cRx9/cA03ez14MT7HuDSUAJOv0S2ZUstq5vITQRwtiJ7vnvRw18ddetr7UbvB6148ZpvgZTfdUqmlOz2n7hB+IB2JbdbH247X7YmjxnZqMIyAIurxeRicgD08EZBNwNXYZqQC2qzXU+F7WaP+aKr1wWfDcMS/ZCEATY6EwN7VrIrg1uukAwQhdQAsD4BXY79ybgtdtorZQCao4FhOI6SzUV67en/qyx3dMfY7ftkHxOUAgiAk+1gmD2awAAbfwVEN74c5Djk6yu4YvvaaVxM4FTZLsNIJRSJ0A4NS2LOo1Npm5CK7OgwWezAGO7yIqMk684OZS0kyAKOBvz4dJ6EZHXn973oJ9dykKv6TtTeXWyB0e3gzvQQ+qz1WZ1tQDuUW5bNijqdNA2E3jFz6xneb1RV/UdUjTbH3PBw34wCgTHCHxW1KrwtL1YbNsEtjUJKk8AsbtBo3UG1MVfaEhmWCYELQfJyMIubkCsZSDUtiDUtiBqWxBrGRB1AcHyVWcfPOnHgL/6zqb9sqUgLCUKW4nCUmKwlShsJQZTisBWoiBmGd7c09Bid0JNvhpG4BSIy15U9sswqoaj4cSL89sptgQEgsxMhdzbuO/5hS9IgsPl3kHD3WZ0JIhCMz23xb3zfv0i7geEEBCJQJGUrorpnK7LDVKGWXu4OBXBZy5vwttCs3/YKKaKOwZ4IhDHZInXXrgCKG+QFCVxR7Mkf24aJqjZ6MBvciUUG+oEACMg8AHc/XoraGUNuZUcipvFJhOd5LnkQA17usUoEBwROIVMd96Z557r8gS75TD5oN+2vd2ldeTWOaI23TEAugdNW4qDBsZh+c42ZkWuAZkLrglmGb7C0yCWBkuOQjTy8HtUiEYegpaDqOdBtBwkLQuhfA2CloNgNe9nYPOLwIu/xX4PwQNbCcOWw6CeCCwxBFsOw5LZPXschi2FYElh2HIIphQC8UZg2ErDutR17zTyAFACSkPzvgPaNQi1QyfKLhGYc5Zt2U1MNEEQds4O65z27QPV9qCmSMNhv2zHXWcS+Pgza1jOVXEisb8DWvJcEqBwGFv8N9kv8N9Xr+pIXU1BK2tInk22NGzyBD2YvGUSY6fGkF/Lo5wpwxvy7vDJ2C+MAsEBw5mt1Zf07scAGkVF03IGKT7LcSiKHpHNdkXB4b43zVj4DKbORNmxtBxik1X6WhrZaha2FISafC3i83HEZmLd5av1KqBmWVf2l34DSF8GEueAu94BUstDVPMQa3kmF17LAqUbQC0PaMXudzAyB8ROAp4w4A0DnhCoEgJVg4AvBCj150oIVAmymxRkrwtyUwBx6Lmue/frtm2DgDS0pVrQdd2PTd3csXJz61Dx80H2yS3Nzbf//xWvAiKRHU127lmw+7W9nBMXp8IAgMvrxX0PBAc1iHIYNQOZxQwK6w3xvdxqbkcgaJKnoEBwLIjgWNCxwnRPTsrZcuM82j55caWZvCFvX30Fo0AwRFBKHXE4XdWdvgWtojmDPbVYhy83r+CFPU/Q41gYugd9QRb6Ti3sJ2QfW5LHZmPdBwAOxc9ukVng9u/svD2HZbJgoOZYYFDz7D63CPzTLzVvG5kFbJMxq2pFQCuCaCUQ2oWao+QFPKHmArobr/p3rB7T8hYEvP7GYyUIyP6eaLy8VsClCFrRFt2rRD5w8Ly5oRotu75ty0YgHoBlWo6KKmfh8eftZtoXJkIQCHBpvYS33n50GUMA+315UbnV6pHrQOk1pibbKhhXc1UsPLHg/D1QJtLXrWdxtxpGdDcbsy4wCgR9wq09r6vsZDBUA3qNPaY2heSRoPgaxujekHcHm+Oocca7RXQ6iuh0dH+/VJRY/4U/vvO9h36q8+cpBQwV0Er1W7F+K217rf54/RnmarcdT/0ZY2j1cpHK/kawkANMp2o7PGHggR8Ekf0gkheQfYDshyj76o/Zc0hedu9xvS55O9quOiuWep+EUTOYr0JGc55Tm+XNHU/ggAJP0ANFAqanbuDza1/HfcvfhNfMvAaiMBhGTcuVl+txtcAGV6ej372tSwIeYAN0kzw83fa5+na9pAhbwbbsHXWLnhhG3Q4LfUrGjQJBD+AUPr2iN8kFU5s6SzvZK8Mf9yPqizqzp8PA8R6hBxDSWI2E+lSz5UFFrwB6md0b1cZj5/Xqzm20UutAoBWBR34XsNs3sO1ycI2AIPsbAUIrsQZFtgUIAAFsgPD54sArfwiQPOxzkgdUVkCJArMqwVYVmGsi8hbBTy59GKXwAgrUwM986e9wR+JWfOgNvwtR8QN7CAipqynk1/NNg3i/8Ia90NW9D+77ii6Hjn5/m1EgaAFKKfSKjlqpxgb8Mhv0LcNiph8BpgsfiAWYBaGve9OQo4TcSg6iLCI4FhxK0c3RYdrn1ZBRM1DeKiM0Hurb9Lsj3EEF3dsKdgXLBEyVBRqjyrrNjWr9ubrLe1XWJ+J+L3O1/feoWeCff635sOo3d/n5SZ8XLyXHYNfTW1Wrhmc3nsBXfussXqfWAEGuBxLFCSiQvIBYfy6IwOJXm74nWb9xaHf9MCinHIsyiKgAkgIieaDrYGwyUa5/hwdE9AAy39YDyB7YEGDEAyD8bwjiTlZY3V3QqDLPj5bsMgInxatX9EYayQXJIyE2G2v6rGVYkDzSTtYayI7XasUaLNNqua37uTfYn5DfsQ8EPLVTK9agllTUisw9iBACb8gLX9SH8GR44D6zhx2UUqSupRyNpchkBNHpaEvmCa+FNN3aicVtuz/74Nl996AtrBeQWcwgdS2FcDLcUjCvW/BUwo78fL2Yu5vhEH8cTAQ7Ooe1hCgBYojVKYYN2wJMDbA0dm/WXPc6YNZw+cZnoC7/XdPHaoKAF299K14Xuljf3vVZa9vfqXV2OPM884dt39szJ0qQWTAS6/eVVHefExXg4reyzwkSqCBD1ylqZROmSUAFCUrAj7AZr38H247dt3ousefu9yYb21JBhFoyUC7okBQvk6CWFbai6zP9NtRAQAh5K4DfAiAC+Ail9APb3if1998GoArgvZTSp4a5T7Zpo1qoOnZxPOJ6g154Q15EpiKYOD9x5NyShgFBFJyuy9xKDrmVnLNU9YV9TQO/G26K6nZ+tqRILKC2MrfZB7gVYUGB4mYRxc2i08zlj/kheaRmKi6/mTZERYRe1ZvebwVREWHpnQvORCCQPNLeAkEb2KaNhScXEIgHEJ2O9mX7yHVyTI3fKExNABED0KsybMuPqVumIHkkXJRs+Na/hKrZKIR6JR+mp78b2fFXwxv2QvExyYw9XVu2xVJtll6/Gc5jW6+hnM7BrtUQnfCz10295bbNN9frfPsn/6S7/bF0YO0ptjKzDRDLgMc2oFgm+7u2AQIKXOr9UFuBAPDXby3xvZ8GTr9uT397aIGAECIC+D0AbwawAuBxQsinKaXun+VhAOfqt1cC+IP6/cBgmzbUgopqoYpqngUASZYQSAQQiAWQOJEYiGH4UQJfBXFhPl3VG/RVrdF41PrD7E5SmPF6S9G0bVagg953znppJUvtfo3atGllst3C0w0uGOem/nG4qbicQdPUOCQ2fKadbQVG5XXz/1t5Ug9jskFBYagG8mt55FfzzT4RBE1uW1yywh3QG4M+ozCLHtHR6pIUiaVDA8oOW9LXzLwGd4zdgWe3nkXVUAFbwZ2Td+Lhux6GqbJVd3GjCNMwoRbUBhPJfe9hzCRBEGDbdrOzHZ/1ihL4cKhXdeRSORTWDVA7wcxa5s/39wN+ywedh9xb2N0wuD09xP09eCYBcKVwqA1Qg7HQbAPEtmDWVJhVFaAGBGoBtglCTYCaIJYBS9NgGzpgG9ArVdi6BmLW3+c320Qw9xV4C8+DWDXYkVMQW+mOdYlhrgheAeAqpfQ6ABBCPg7g29AcH78NwH+lbIr2KCEkSgiZopSu7/VLLdOCWlCh5tXGwO+R4I/6EZ2KwnfRxwq4N/Fs301bdVgf/KYyBggf0P1RP3RVdy5yX8TnMJqyy9kmxkQoGULyTHLgeXV+EbXU29l2U/xKV36vji9zXU5c9soOV97QjB30PcWvwBf1IZQMQfbITV2jh/FcaZmOcw3ubCN2p5U0rF9uvqTcvSiO4q4swBv0QvbKzjnQywRJFER86M0fwldWv4J/+/FPwdKm8aH3/iREQYQUkprSb7Zl71AIruQqjlKw5JGg5uv/Z4IdvQ9aRWs7Wdm6sdUI0K5gLckSvOHeUoCpa6nGfuwCySM5gbMT2IoZ2LUtnIDlUcLtN8nNvdN57I/5MRc8nDLUMwCWXc9XsHO232qbGQB7DgSLTy4ClP3Y0ekofNGbf+BvhRtfv+GoIspeGbJPhuJT4I/5oXgVhxPezhUJACqZCvSKDtknY/LCJPzR4TXsLD21tPNF4pJqVkSnMO8Ne5vMY7YPEqK0uxpnMVV0AoHslZE8m0QgEThS54ipmbj+6PWm19xeCNw1DoAzkAbHg4jNxiAr8tD8o0VBxOvmXgc9U3aet4IgCvAEPG3TVpZhMcMhs7W3hNsjwg1qU2QWMy3f84a8OHHfid4O6OBsiHtCv//LYQaCVnu2fV3ezTYghLwfwPsBYH5+ftcvPXHviX0vPh42EEIwd/ccm+ntNR8LIDYXgz/mR2QyMlRWFCEEUxenmk1d6k5QwxisfGEffGE2+49OR48k40tSJMzdPdeUjnMfx/WvX2cNTgRIzCcQn4/va/rzmf/4r7DaxUy6HURZhE9uP2OevDAJ27KRXc4iu5h1muU8AQ8mLkw06jt2o5azl3EhOhN1qOFNDWWubl9KWVNfZavi7EcrCZPDjGEGghUAc67nswDW9rANKKUfBvBhgJnX7/alxz0IcAzCF5YPmPuB8MQua+ABQ/bKmL939wnFYQcRyK4rNG/IC9kjY+LCRN/KlHtBxC8j4u/PLKUTBFFgJk+TEaSvpVFKlyB5pYGesz2dlx1KEzwYaBWNBWmXTAR/j9rUSePats3ILIbVYnrMVoCc5CD7Dq8xzeMAzhFCTgFYBfAOAO/ats2nAfxYvX7wSgCFfuoDI4wwAsP0rdMHvQv7BtkrY/q2adSKtaF7LvQDvrr1Br098f5ty3Yoz26GXmwmhrFTYwPZt6EFAkqpSQj5MQD/E6zs8VFK6QuEkB+uv/+HAP4WjDp6FYw++v3D2p8RRhjh5kavheCjAkEUEJuNITIVQX6VKZVKHgnRmejAvoMc9tzVdtx///30iSeeOOjdGGGEEUY4UiCEPEkpvb/le0ctEBBC0gAWd9lkDMAuprw3PUbHf3yP/zgfOzA6/k7Hf4JS2lLn5MgFgk4ghDzRLuodB4yO//ge/3E+dmB0/P0c/+GtrIwwwggjjLAvGAWCEUYYYYRjjpsxEHz4oHfggDE6/uOL43zswOj493z8N12NYIQRRhhhhN5wM64IRhhhhBFG6AGjQDDCCCOMcMxxZAMBIeSthJCXCCFXCSE/1+J9Qgj57fr7zxJC7j2I/RwWujj+d9eP+1lCyCOEkLsOYj+HgU7H7truAUKIRQj57v3cv2Gjm+MnhLyeEPI0IeQFQsiX9nsfh4kuzv0IIeQzhJBn6sd/0ygWEEI+SghJEUKeb/P+3sY9rp53lG5gkhXXAJwGc6h7BsCt27Z5G4C/A1M4fRWArx/0fu/z8T8IIFZ//PDNcvzdHLtruy+AyZh890Hv9z7/76Ngvh/z9efJg97vfT7+/xPAr9cfjwPIAlAOet8HdPyvBXAvgOfbvL+nce+orggc0xtKqQ6Am9644ZjeUEofBRAlhEzt944OCR2Pn1L6CKU0V3/6KJiy682Abv73APDvAXwCQJcGtEcG3Rz/uwD8DaV0CQAopTfTb9DN8VMAoboVbhAsEHTnGnPIQSn9MtjxtMOexr2jGgjaGdr0us1RRa/H9oNgs4SbAR2PnRAyA+A7ALR3Oj+66OZ/fx5AjBDyz4SQJwkh37tvezd8dHP8vwvgIpik/XMAfoJSekQsZvrGnsa9oZrXDxEDM705ouj62AghbwALBK8Z6h7tH7o59g8C+FlKqXWUXMe6RDfHLwG4D8A3gfkhfo0Q8iil9Mqwd24f0M3xvwXA0wDeCOAMgM8TQv6FUloc8r4dBuxp3DuqgWBgpjdHFF0dGyHkTgAfAfAwpbS1f9/RQzfHfj+Aj9eDwBiAtxFCTErpJ/dlD4eLbs/9LUppBUCFEPJlAHcBuBkCQTfH//0APkBZ0vwqIeQGgFsAPLY/u3ig2NO4d1RTQ47pDSFEATO9+fS2bT4N4HvrVfRX4eYyvel4/ISQeQB/A+A9N8lMkKPjsVNKT1FKT1JKTwL4HwB+9CYJAkB35/6nADxECJEIIX4w06fL+7yfw0I3x78EthoCIWQCwAUA13E8sKdx70iuCOgxN73p8vj/I4AEgN+vz4xNehMoM3Z57Dctujl+SullQsjfA3gWzH79I5TSlnTDo4Yu//+/AuBPCSHPgaVKfpZSelPIUxNC/hLA6wGMEUJWAPwiABnob9wbSUyMMMIIIxxzHNXU0AgjjDDCCAPCKBCMMMIIIxxzjALBCCOMMMIxxygQjDDCCCMcc4wCwQgjjDDCMccoEIwwwoBACPmxuuojJYSMHfT+jDBCtxgFghFGGBy+CuBNABYPekdGGKEXHMmGshFGOGgQQgIA/hqshV8E8CuU0r+qv3eQuzbCCD1jFAhGGGFveCuANUrp2wFmhnLA+zPCCHvGKDU0wgh7w3MA3kQI+XVCyEOU0sJB79AII+wVo0Awwgh7QF3I7z6wgPBrhJD/eMC7NMIIe8YoNTTCCHsAIWQaQJZS+jFCSBnAew94l0YYYc8Yic6NMMIeQAh5C4D/AqbuaQD4ETCf6J8BMAlmkfm3lNL3HdhOjjBClxgFghFGGGGEY45RjWCEEUYY4ZhjFAhGGGGEEY45RoFghBFGGOGYYxQIRhhhhBGOOUaBYIQRRhjhmGMUCEYYYYQRjjlGgWCEEUYY4Zjj/wfieH4UofTB2gAAAABJRU5ErkJggg==\n"
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"analyzer = bp.analysis.PhasePlane2D(\n",
" model=[int_s1, int_s2],\n",
" target_vars={'s1': [0, 1], 's2': [0, 1]},\n",
" pars_update={'mu': 30., 'coh': 1.},\n",
" resolutions=0.001,\n",
")\n",
"analyzer.plot_vector_field()\n",
"analyzer.plot_nullcline(coords=dict(s2='s2-s1'),\n",
" x_style={'fmt': '-'},\n",
" y_style={'fmt': '-'})\n",
"analyzer.plot_fixed_point()\n",
"analyzer.show_figure()"
]
},
{
"cell_type": "markdown",
"id": "86c8d4f0",
"metadata": {},
"source": [
"## Bifurcation analysis"
]
},
{
"cell_type": "markdown",
"id": "b34282a5",
"metadata": {},
"source": [
"To see how the phase portrait of the system changed when we chang the stimulus current, we will generate a bifurcation diagram for the reduced model. On the bifurcation diagram the fixed points of the model are shown as a function of a changing parameter.\n",
"\n",
"In the next, we generate bifurcation diagrams with the different parameters. "
]
},
{
"cell_type": "markdown",
"id": "6b543dd8",
"metadata": {},
"source": [
"**Fix the coherence $c'=0$, vary the stimulus strength $\\mu_0$**. See Figure 10 in (Wong & Wang, 2006) [1]. "
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "c3205443",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"I am making bifurcation analysis ...\n",
"I am filtering out fixed point candidates with auxiliary function ...\n",
"I am trying to find fixed points by optimization ...\n",
"\tThere are 30000 candidates\n",
"I am trying to filter out duplicate fixed points ...\n",
"\tFound 1744 fixed points.\n"
]
},
{
"data": {
"text/plain": "",
"image/png": 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\n"
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"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n"
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"analyzer = bp.analysis.Bifurcation2D(\n",
" model=[int_s1, int_s2],\n",
" target_vars={'s1': [0., 1.], 's2': [0., 1.]},\n",
" target_pars={'mu': [-30., 90.]},\n",
" pars_update={'coh': 0.},\n",
" resolutions={'mu': 0.2},\n",
")\n",
"analyzer.plot_bifurcation(num_rank=50)\n",
"analyzer.show_figure()"
]
},
{
"cell_type": "markdown",
"id": "04a38444",
"metadata": {},
"source": [
"**Fix the stimulus strength $\\mu_0 = 30$ Hz, vary the coherence $c'$**. "
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "99ac4954",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"I am making bifurcation analysis ...\n",
"I am filtering out fixed point candidates with auxiliary function ...\n",
"I am trying to find fixed points by optimization ...\n",
"\tThere are 10000 candidates\n",
"I am trying to filter out duplicate fixed points ...\n",
"\tFound 474 fixed points.\n"
]
},
{
"data": {
"text/plain": "",
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n"
},
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],
"source": [
"analyzer = bp.analysis.Bifurcation2D(\n",
" model=[int_s1, int_s2],\n",
" target_vars={'s1': [0., 1.], 's2': [0., 1.]},\n",
" target_pars={'coh': [0., 1.]},\n",
" pars_update={'mu': 30.},\n",
" resolutions={'coh': 0.005},\n",
")\n",
"analyzer.plot_bifurcation(num_rank=50)\n",
"analyzer.show_figure()"
]
},
{
"cell_type": "markdown",
"id": "064a7728",
"metadata": {},
"source": [
"## References\n",
"\n",
"[1] Wong K-F and Wang X-J (2006). A recurrent network mechanism for time integration in perceptual decisions. J. Neurosci 26, 1314-1328."
]
}
],
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