{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Low-dimensional Analyzers"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"@[Chaoming Wang](https://github.com/chaoming0625)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We have talked about model [simulation](../tutorial_simulation/index.rst) and [training](../tutorial_training/index.rst) for dynamical systems with BrainPy. In this tutorial, we are going to dive into how to perform automatic analysis for your defined systems. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As is known to us all, dynamics analysis is necessary in neurodynamics. This is because blind simulation of nonlinear systems is likely to produce few results or misleading results. BrainPy has well supports for low-dimensional systems, no matter how nonlinear your defined system is. Specifically, BrainPy provides the following methods for the analysis of low-dimensional systems:\n",
"\n",
"1. phase plane analysis;\n",
"2. codimension 1 or codimension 2 bifurcation analysis;\n",
"3. bifurcation analysis of the fast-slow system. \n",
"\n",
"BrainPy will help you probe the dynamical mechanism of your defined systems rapidly. "
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"ExecuteTime": {
"start_time": "2023-04-15T20:17:58.385217Z",
"end_time": "2023-04-15T20:18:02.502480Z"
}
},
"outputs": [
{
"data": {
"text/plain": "'2.4.0'"
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import brainpy as bp\n",
"import brainpy.math as bm\n",
"\n",
"bm.enable_x64() # It's better to enable x64 when performing analysis\n",
"bm.set_platform('cpu')\n",
"\n",
"bp.__version__"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"ExecuteTime": {
"start_time": "2023-04-15T20:18:02.503506Z",
"end_time": "2023-04-15T20:18:03.872548Z"
}
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## A simple case"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here we test BrainPy with a simple case:\n",
"\n",
"$$\n",
"\\frac{dx}{dt} = \\mathrm{sin}(x) + I,\n",
"$$\n",
"\n",
"where $x \\in [-10, 10]$."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As known to us all, this function has multiple fixed points ($\\frac{dx}{dt} = 0$) when $I=0$."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"ExecuteTime": {
"start_time": "2023-04-15T20:18:03.873066Z",
"end_time": "2023-04-15T20:18:04.564267Z"
}
},
"outputs": [
{
"data": {
"text/plain": "",
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\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xs = np.arange(-10, 10, 0.01)\n",
"\n",
"plt.plot(xs, np.sin(xs))\n",
"plt.scatter([-3*np.pi, -1*np.pi, 1*np.pi, 3 * np.pi], np.zeros(4), s=80, edgecolors='y')\n",
"plt.scatter([-2*np.pi, 0, 2*np.pi], np.zeros(3), s=80, facecolors='none', edgecolors='r')\n",
"plt.axhline(0)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"According to the dynamical theory, at the red hollow points, they are unstable; and for the solid ones, they are stable points. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's come back to BrainPy, and test whether BrainPy can give us the right answer. \n",
"\n",
"As the analysis interfaces in BrainPy only receives [ODEIntegrator](../apis/integrators/generated/brainpy.integrators.ODEIntegrator.rst) or instance of [DynamicalSystem](../apis/auto/simulation/generated/brainpy.simulation.brainobjects.DynamicalSystem.rst), we first define an integrator with BrainPy (if you want to know how to define an ODE integrator, please refer to the tutorial of [Numerical Solvers for ODEs](../tutorial_intg/ode_numerical_solvers.ipynb)):"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"ExecuteTime": {
"start_time": "2023-04-15T20:18:04.564267Z",
"end_time": "2023-04-15T20:18:04.580281Z"
}
},
"outputs": [],
"source": [
"@bp.odeint\n",
"def int_x(x, t, Iext):\n",
" return bp.math.sin(x) + Iext"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is a one-dimensional dynamical system. So we are trying to use [brainpy.analysis.PhasePlane1D](../apis/auto/analysis/generated/brainpy.analysis.lowdim.PhasePlane1D.rst) for phase plane analysis. The usage of phase plane analysis will be detailed in the following section. Now, we just focus on the following four arguments:\n",
"\n",
"- **model**: It specifies the target system to analyze. It can be a list/tuple of [ODEIntegrator](../apis/integrators/generated/brainpy.integrators.ODEIntegrator.rst). However, it can also be an instance of [DynamicalSystem](../apis/auto/simulation/generated/brainpy.simulation.brainobjects.DynamicalSystem.rst). For ``DynamicalSystem`` argument, we will use ``model.ints().subset(bp.ode.ODEIntegrator)`` to retrieve all instances of ODEIntegrator later. \n",
"- **target_vars**: It specifies the variables to analyze. It must be a dict with the format of ````, where ``var_name`` is the variable name, and ``var_interval`` is the boundary of this variable. \n",
"- **pars_update**: Parameters to update. \n",
"- **resolutions**: The resolution to evaluate the fixed points. \n",
"\n",
"Let's try it."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"ExecuteTime": {
"start_time": "2023-04-15T20:18:04.580281Z",
"end_time": "2023-04-15T20:18:10.973402Z"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"I am creating the vector field ...\n",
"I am searching fixed points ...\n",
"Fixed point #1 at x=-9.424777960769386 is a stable point.\n",
"Fixed point #2 at x=-6.283185307179586 is a unstable point.\n",
"Fixed point #3 at x=-3.1415926535897984 is a stable point.\n",
"Fixed point #4 at x=3.552755127361717e-18 is a unstable point.\n",
"Fixed point #5 at x=3.1415926535897984 is a stable point.\n",
"Fixed point #6 at x=6.283185307179586 is a unstable point.\n",
"Fixed point #7 at x=9.424777960769386 is a stable point.\n"
]
},
{
"data": {
"text/plain": "",
"image/png": 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\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pp = bp.analysis.PhasePlane1D(\n",
" model=int_x,\n",
" target_vars={'x': [-10, 10]},\n",
" pars_update={'Iext': 0.},\n",
" resolutions={'x': 0.01}\n",
")\n",
"pp.plot_vector_field()\n",
"pp.plot_fixed_point(show=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Yeah, absolutelty, ``brainpy.analysis.PhasePlane1D`` gives us the right fixed points, and correctly evaluates the stability of these fixed points."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Phase plane is important, because it gives us the intuitive understanding how the system evolves with the given parameters. However, in most cases where we care about how the parameters affect the system behaviors, we should make bifurcation analysis. [brainpy.analysis.Bifurcation1D](../apis/auto/analysis/generated/brainpy.analysis.lowdim.Bifurcation1D.rst) is a convenient interface to help you get the insights of how the dynamics of a 1D system changes with parameters.\n",
"\n",
"Similar to ``brainpy.analysis.PhasePlane1D``, ``brainpy.analysis.Bifurcation1D`` receives arguments like \"model\", \"target_vars\", \"pars_update\", and \"resolutions\". Besides, one more important argument **\"target_pars\"** should be provided, which specifies the range of the target parameter in bifurcation analysis."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here, we systematically change the parameter \"Iext\" from 0 to 1.5. According to the bifurcation theory, we know this simple system has a fold bifurcation when $I=1.0$. Because at $I=1.0$, two fixed points collide with each other into a saddle point and then disappear. Does BrainPy's analysis toolkit ``brainpy.analysis.Bifurcation1D`` is capable of performing these analyses? Let's make a try."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"scrolled": false,
"ExecuteTime": {
"start_time": "2023-04-15T20:18:10.973402Z",
"end_time": "2023-04-15T20:18:21.015687Z"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"I am making bifurcation analysis ...\n"
]
},
{
"data": {
"text/plain": "",
"image/png": 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\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bif = bp.analysis.Bifurcation1D(\n",
" model=int_x,\n",
" target_vars={'x': [-10, 10]},\n",
" target_pars={'Iext': [0., 1.5]},\n",
" resolutions={'Iext': 0.005, 'x': 0.05}\n",
")\n",
"bif.plot_bifurcation(show=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Once again, BrainPy analysis toolkit gives the right answer. It tells us how does the fixed points evolve when the parameter $I$ is increasing. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It is worthy to note that bifurcation analysis in BrainPy is hard to find out the saddle point (when $I=0$ for this system). This is because the saddle point at the bifurcation just exists at a moment. While the numerical method used in BrainPy analysis toolkit is almost impossible to evaluate the point exactly at the saddle. However, if the user has the minimal knowledge about the bifurcation theory, saddle point (the collision point of two fixed points) can be easily inferred from the fixed point evolution."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"BrainPy's analysis toolkit is highly useful, especially when the mathematical equations are too complex to get analytical solutions. The example please refer to the tutorial [Anlysis of A Decision Making Model](./decision_making_model.ipynb). "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Phase plane analysis"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Phase plane analysis is one of the most important techniques for studying the behavior of nonlinear systems, since there is usually no analytical solution for a nonlinear system. BrainPy can help users to plot phase plane of 1D systems or 2D systems. Specifically, we provide [brainpy.analysis.PhasePlane1D](../apis/auto/analysis/generated/brainpy.analysis.lowdim.PhasePlane1D.rst) and [brainpy.analysis.PhasePlane2D](../apis/auto/analysis/generated/brainpy.analysis.lowdim.PhasePlane2D.rst). It can help to plot:\n",
"\n",
"- **Nullcline**: The zero-growth isoclines, such as $g(x, y)=0$ and $g(x, y)=0$.\n",
"- **Fixed points**: The equilibrium points of the system, which are located at all the nullclines intersect.\n",
"- **Vector field**: The vector field of the system.\n",
"- **Limit cycles**: The limit cycles.\n",
"- **Trajectories**: A simulation trajectory with the given initial values."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We have talked about ``brainpy.analysis.PhasePlane1D`` in above. Now we focus on ``brainpy.analysis.PhasePlane2D`` by using a well-known neuron model FitzHugh-Nagumo model. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The FitzHugh-Nagumo model is given by:\n",
"\n",
"$$ \n",
"\\frac {dV} {dt} = V(1 - \\frac {V^2} 3) - w + I_{ext} \\\\\n",
"\\tau \\frac {dw} {dt} = V + a - b w \n",
"$$\n",
"\n",
"There are two variables $V$ and $w$, so this is a two-dimensional system with three parameters $a, b$ and $\\tau$."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For the system to analyze, users can define it by using the pure ``brainpy.odeint`` or define it as a class of ``DynamicalSystem``. For this FitzHugh-Nagumo model, we define it as a class because later we will perform simulation to verify the analysis results. "
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"ExecuteTime": {
"start_time": "2023-04-15T20:18:21.015687Z",
"end_time": "2023-04-15T20:18:21.031314Z"
}
},
"outputs": [],
"source": [
"class FitzHughNagumoModel(bp.DynamicalSystem):\n",
" def __init__(self, method='exp_auto'):\n",
" super(FitzHughNagumoModel, self).__init__()\n",
"\n",
" # parameters\n",
" self.a = 0.7\n",
" self.b = 0.8\n",
" self.tau = 12.5\n",
"\n",
" # variables\n",
" self.V = bm.Variable(bm.zeros(1))\n",
" self.w = bm.Variable(bm.zeros(1))\n",
" self.Iext = bm.Variable(bm.zeros(1))\n",
"\n",
" # functions\n",
" def dV(V, t, w, Iext=0.): \n",
" return V - V * V * V / 3 - w + Iext\n",
" def dw(w, t, V, a=0.7, b=0.8): \n",
" return (V + a - b * w) / self.tau\n",
" self.int_V = bp.odeint(dV, method=method)\n",
" self.int_w = bp.odeint(dw, method=method)\n",
"\n",
" def update(self, tdi):\n",
" self.V.value = self.int_V(self.V, tdi.t, self.w, self.Iext, tdi.dt)\n",
" self.w.value = self.int_w(self.w, tdi.t, self.V, self.a, self.b, tdi.dt)\n",
" self.Iext[:] = 0."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"ExecuteTime": {
"start_time": "2023-04-15T20:18:21.031314Z",
"end_time": "2023-04-15T20:18:21.093983Z"
}
},
"outputs": [],
"source": [
"model = FitzHughNagumoModel()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here we perform a phase plane analysis with parameters $a=0.7, b=0.8, \\tau=12.5$, and input $I_{ext} = 0.8$."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"ExecuteTime": {
"start_time": "2023-04-15T20:18:21.046940Z",
"end_time": "2023-04-15T20:18:21.093983Z"
}
},
"outputs": [],
"source": [
"pp = bp.analysis.PhasePlane2D(\n",
" model,\n",
" target_vars={'V': [-3, 3], 'w': [-3., 3.]},\n",
" pars_update={'Iext': 0.8}, \n",
" resolutions={'V': 0.01, 'w': 0.01},\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"ExecuteTime": {
"start_time": "2023-04-15T20:18:21.068720Z",
"end_time": "2023-04-15T20:18:43.653607Z"
},
"scrolled": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"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 creating the vector field ...\n",
"I am searching fixed points ...\n",
"I am trying to find fixed points by optimization ...\n",
"\tThere are 866 candidates\n",
"I am trying to filter out duplicate fixed points ...\n",
"\tFound 1 fixed points.\n",
"\t#1 V=-0.2729223248464073, w=0.5338542697673022 is a unstable node.\n",
"I am plotting the trajectory ...\n"
]
},
{
"data": {
"text/plain": "",
"image/png": 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\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# By defaut, nullclines will be plotted as points, \n",
"# while we can set the plot style as the line\n",
"pp.plot_nullcline(x_style={'fmt': '-'}, y_style={'fmt': '-'})\n",
"\n",
"# Vector field can plotted as two ways:\n",
"# - plot_method=\"streamplot\" (default)\n",
"# - plot_method=\"quiver\"\n",
"pp.plot_vector_field()\n",
"\n",
"# There are many ways to search fixed points. \n",
"# By default, it will use the nullcline points of the first \n",
"# variable (\"V\") as the initial points to perform fixed point searching\n",
"pp.plot_fixed_point()\n",
"\n",
"# Trajectory plotting receives the setting of the initial points.\n",
"# There may be multiple trajectories, therefore the initial points \n",
"# should be provived as a list/tuple/numpy.ndarray/Array\n",
"pp.plot_trajectory({'V': [-2.8], 'w': [-1.8]}, duration=100.)\n",
"\n",
"# show the phase plane figure\n",
"pp.show_figure()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see an unstable-node at the point ($V=-0.27, w=0.53$) inside a limit cycle. \n",
"\n",
"We can run a simulation with the same parameters and initial values to verify the periodic activity that correspond to the limit cycle."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"ExecuteTime": {
"start_time": "2023-04-15T20:18:43.653607Z",
"end_time": "2023-04-15T20:18:43.879544Z"
},
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": " 0%| | 0/1000 [00:00",
"image/png": 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5Uz7v/L7L6+fwCEctrHoPXjwe/nMOLH/TpbjEdFDPSXs8OGpg62x4/xL1Eou124jlpY0UlXs306gxIsKs/PvyYUx5fgGrso/wfz9t5Z7T+vjsfE1SvB9mP6BWtjpdx8Ggi6DbSWqS0FcOZYdh49ew8F9QsBP+ewFc8JraV/A5uivTF8oLqJpG/3fZUK56cwkfLM1mTI/2nDMkwyfnapa8tfDj/Wp1C2ol23cK9DsHuo2H2A6ufYv2wZqPYeGzkLcG3jgVrvkcOo7wv9whSEmFb8fkgIwE/jqlHw9+uZ4nv9/E8d3b0y/dAIvvtp9g9t8gv06pj4iFgReqcdl5tFKoQSndB7fAyv/AkleVEvPGJLj+O4g34F4KMMTy0kacwbo+uiF1MpOinY3JXpy7jSX+LMykabBiFrxwXJ3iYoGBF8Etv8N13yi3UFL3hibP6CQYcS3cuggGXQxaLXw+FXb95j+5QxhfTxQAJ/RMZtrEngA88Nlacg6X+excx1BTBb/OVBaUnfPBFgFjpsHd6+GS/yglub7iAmpCOPEumLYcMo+HykJ47+JjTfmCT3Aq1HbfLfSuHt2FSX1TqKpxcMcHq/xbpbz8CHxxK7x7oVJcIhPh1Mdg+kY453nofZpLcQH1vOzQB057AqYugMQuaqH37kUqXktoFlFe2ogzTdqHlhedswZncPGITmga3P1RFoVlfug1U35EuYi+vlM97DOGwc2/wkVvQuqAln8fHgXnvwYDzgdHNXx2szqm4FOK65SXWB9OFAB3TurFiC7tKK6sYfrHfuo1U7AL3jwF5j2lzO59z4LbV6hJIC6t5d/HpsBVn0L6ECg7BJ/9UZn5BZ+iK9SxPlSoLRYLf79oMB3i7GzNL+GJbzf67FwNyFkKL4+FrPcACxx/C9yZBSfc4V68X0o/uPZriE1VLs/ZD/ha4oBHlJc24ixQ5+VMo6Z4+JwBdG0fzb7CCu7/Yq1va23kb4RXT4KNXylz/KmPwR9+VgqMJ1itcM4LyjpTtAfmzvSNvIKTYh+7jXTCbFaeu3QosfYwlu0q4OW5Pu41s+0neHW8iruKSoKL3oJL34XEzp4dxx4HF89SJv3s3yHrfZ+IKygcDo2SKl2h9u2YbB9r558XqyzN/y7ezZwN+313Mk2DZW/C22dC0V7lOr/+ezjjKYhq59mx2nVRrnWA5W/BnhXelzeIEOWljfjT8gIQYw/j/y4bRpjVwrdrcn1Xa2PbzyoA8shuZc68cbZaRbQ2Q8MeC1OeVdvL3oBD270nq3AMesCuL1e5OplJ0Tx2nrLC/eunrazKLvDNiZa9qUzqFUdUnMrUBSqWoLUZGkndYcJ9avvnR8VU70PKqmt9mpV5NCf17sBN47oBcO//VrO/yAcpyQ4HfP8X+Ha6sir3P1eNyS5jWn/M7hNgyOVqW6wvzSLKSxvxV8xLfYZkJnJ3Xa2Nh75az66DXm4fsOZjFQtQWQRdToCb53onqLHHROh5ijL1//58248nNImr9pB/xuV5QztyzhBVa+Ouj7K82z5A01R8y7fTAU2l31//PSR0avuxR/1RWW1K8+tM/oIv0F1G4TYL9jD/TDv3nNaHARnxFJRVM/3jLO+2D6ipgs9ugqWvAhY45RG4+B1l0Wsrkx5UMVzZi2D3720/XpAiyksb8Ue2UWNMHd+D47slUVZVy50fejF9etW7Ki5Fq4XBl8HVn6vgW28x7k/qPesDKDngveMKTjRN81vMi47FYuGx8wbSMTGK3YfKeOSrRmqstAZNg+/vVfEtAOP/olyQYW3r4O4kLALG3qG2f/+3Wk0LXqekss4SaA/zW/0Ve5iN5y8fRlS4jd+2HeKNhV5qH1BdDh9cpmpcWcPhwjdUILi3/l3xGaoOEagxKTSKT5WX+fPnc/bZZ5ORkYHFYuGLL75odv+5c+disViOeW3aZN7S+PVvSn9is1r416VDSYgKZ/WeQv41Z0vbD7r8LfjyNkCDkTfCeS97b5LQ6TwGMoZDbSWs+ci7xxYAqKh2OANn/WGi10mICudflw7FaoFPVuzh2zW5bTugpsEPM2Dpa4AFznwGJt7v/UJeQ68Ee4Jyke5a4N1jC0C9AHI/jkeAHh1iefDs/gD848fNrN3Txo7oNZXw0VWw/WcIj4ErPvJN+YfRt6r3LT+qEhXCMfhUeSktLWXIkCG88MILHv1u8+bN5ObmOl+9evXykYRtp6xKZSlER/i/WmdGYhQz69KnX563nUXb25A+veZj+OZutX38LTDlnyrQ1ttYLMrsDypIUpr7eR093sVi8f+4HNUtiVsnqPTpGZ+tYd+R8tYf7JfHYMnLavvcF2DUTV6QsBEiomHQhWpbXEc+QXcj+ssSWJ/Ljsvk9AFpVNdq3PnhKsqrWplZVlsD/7tBBY2HR6uMtZ6TvCusToc+qhq0VgtrPvTNOQIcnyovZ5xxBo8//jgXXHCBR79LSUkhLS3N+bLZzFvGW68jYITyAnDmoHQuGanSp//0cZYzBscjtv0MX9yito+fCqfP9G2Z6oEXgM2uUgLz1vjuPCFKcaUrq8OIEul3ntKLIZ0SKKpoQ/r0wudgwT/V9pnPuBReXzG07vgbvlL9ZwSv4qw75GcLNSiX5lMXDiI13s6Og6U8/UMrLPmaBl/eCpu+Uc+uyz9oW2CuO+hjfuV/ZZHXCKaMeRk2bBjp6elMmjSJX3/9tdl9KysrKSoqavDyJ+V1youRvV0eOnsAXerSpx/1tFT73hXw0dUqiHbgRXCajxUXUCmEfc9U22s+9u25QpBiP6fvH024zcpzlw0jOsLG4h2HeWOBh7EG6z+Hnx5S26c+5juLS306Dle9uGrKYdO3vj9fiOFUqP3sNtJJjI7g7xep9OlZv+/it20HPTvA3JnKzW0NU0UQu0/wvpBHM/ACCIuCQ1tVJWmhAaZSXtLT03nttdf49NNP+eyzz+jTpw+TJk1i/vz5Tf5m5syZJCQkOF+ZmZl+lNjlNooyUHmJsYfxzMVDsFjgfyv2uF/XoGgffHA5VJdC94kqxsUXrqLGGFhnpt/0jawqvIyzGJgBq1ydbskxPFQXa/DP2VvY4m736T3LVSVmUFbAE+7wkYRHYbGoQoogyosPKDbBmBzfuwNXjVb1gO75ZDWF5W5aqVd/BPOeVttn/Qv6nO4jCY/CHudyS2382j/nDCBMpbz06dOHm266ieHDhzNmzBheeuklpkyZwjPPPNPkb2bMmEFhYaHzlZOT40eJcfpPowxyG+kc1zWJm8d1B1SswaGSyuZ/UF0BH14JJfshpT9c+l+VeeEvepwMYZGqWmq+wY39ggxfNmX0hEtGZjKxTweqah386ePVLWfEHclRWRw1FdDrNDjtSf8IqtN3inrf9rPUfPEy/qiu6w73n9mPLu2jyS2s4JGv3ciI271INfIEOOEu1ZHcn/Q7R72L8nIMplJeGmP06NFs3bq1ye/tdjvx8fENXv7E6JiX+tx9am96p8ZysKSKv36xrunqu5qmyv3vW6lcOJe97536BJ4QEaMUGJCVrpcx2kSvo2INBpMQFc7avYW8PLeZwoQ1laoNRekBSB2k2k+0tiBia0kbBAmdletoR/PuasEz9KxMI2Je6hMdEcY/Lx6C1QKfrdzLD+vymt65eD98ci3UVkG/s2HSQ/4TVKf3aSod+8BGONj0PBiKmF55WbVqFenp6UaL0SRmiHnRiQy38ewlQwmzWvh+XR5frd7X+I5LX1cR7BabKpGe1M2vcjrpUxf3IsqLVymtU15iDJ4oAFLjI3nkHFV99/mft7J+XxPBsD8+oJTpyES47D3/K9OgXEe69UXGpFcpqTTebaQzsmsSN5/UA4AHPl/Lwcas1LU18OmNyjLdoR+c/6r/XOr1iUqEbiepbRmTDfDp/0ZJSQlZWVlkZWUBsHPnTrKyssjOVl1cZ8yYwTXXuMxwzz33HF988QVbt25l/fr1zJgxg08//ZRp06b5Usw2YYaYl/oM7JjA7Ser1PK/fbHu2LLYuWtcZacnP+afwLOm6HMGWKyQmwWFPmpzEILoCnW0ScbkuUMzOG1AKjUOjT99vJqqmqPcR2s+gWWvq+0LXlM9XoxCV142f68mMMEr6DEvZlCoAe4+tRd90+I4VFrFjM8a6RH36xOq5k9ErHKpR8QYIyio5ySoFG3BiU+Vl+XLlzNs2DCGDVON/KZPn86wYcN48MEHAcjNzXUqMgBVVVXcc889DB48mHHjxrFw4UK+/fZbj1Ot/YnuNjI65qU+t07swaCOKlX13v+tcd2YlSXwv+uVGbTPma5CSEYRkwyZx6vtzd8bK0sQUWGSOCwdi8XCE+cPIikmgk15xTz/cz3z96HtyoUJMO4eZSY3ks5jlCu1/DDsWWqsLEGE/pyMsZtjTNrDlJU63GZhzob9fJG11/Xl1p9gYV0ftnOeh2SD64z1PEW9Zy+SNP56+FR5mTBhApqmHfOaNWsWALNmzWLu3LnO/e+99162bdtGeXk5hw8fZsGCBZx55pm+FLFNVNc6qK5VikF0uDlWFKBSVZ+9ZAgRYVbmbTnAJ8vrrBrf/RkObYO4DDj3Rd+nRLtD77rI/S0/GitHEKFbXsxiDQRIjrXz+HkDAVVQcXXOEWXZ+Oxmle3W5URVPddobGHQ81S1LWPSa+gWajO413X6Z8Rz5ySlmDzy9QblPio7rOq5ABz3B1dWpJEkdYP2vVQ5ix1zjZbGNJg+5sXM6KsJgMgIc13KXqlx/KmueePj326gcMUnsPp95aa58A3v9itqC/pKe9cCyfDwEmacKEAVVDy7rnnjnz5ZTc28f8De5ao0//mv+D9Atyn0Mbl1trFyBBFOV2aEeRZ5AH8c34N+6fEcKavm4S/XKStgyX5I7g2THzdaPBe9Jqt3GZNOzDXjBhh6mrTVAhE2813KG0/sxsCO8YRVHMb63T3qwxOnQ9cTjBWsPh361mV4VMDOpuv5CO5TbqIMuKN59JwBJMdGEHMgC+v8f6gPpzwDif6tz9QsPU5Wwez5G+BIdsv7Cy1SbrLYQJ1wm5V/XDQYm9VCxPqPYeNXqhDdBa9DeJTR4rnoVWcN3PqT1MWqw3wzbgBR3zxvRBn2lgizWXn6wsE8Fv42cbVHKE7orbrymgmLBXrrqwox03sDM8Zh6bSLieCRM3vxz/BXsFJLcc9zYNDFRovVkOgkVyyWuI68gmtMmm/KGdgxgbuPj+Xh8HcAqDjxL5Ax1FihjqbLWNUIsiRPqu3WYb6RFEA4lReTmULrM+Dwz0yxLaFas3Fr6U0UVptPyaJXnZl+y2xZVXgBs7qNdM4sfJ+e1n0c0BK4vfAqWtP6yOfoCrUoL17B7GPylrJXibeUs8rRk0cLJhstzrGE2aH7eLUtriNAlJc24aqua9LLWF6ggnSB9yMuYkFJR576vhVNyXxNt3Gqh0fRHtjvRtVLoVnKDex03iIHNmNZoDI5ZmrXMzenhveXmtA1oweSSyyWVzBrzAsAG7/GtvkbHJYw7qv+A+8v28vv2z3sfeQPnK6jOcbKYRJMOusGBmb14zr5+VEoOwgd+tL3kkcA+GBpNot3HDJYsKMIj3IVYhLXUZupMGG2EQAOB3x1BziqoffpDJp8LQBPf7/p2HpERiOxWF7FtGOyosi5wLOeeCejjh8HwP2frW2QkGEK9Cy4PUtVVlSII8pLGzBjSqqTPStg+dtqe8o/Ob5XOpePUk3J7v9sLZU1Jrsxe9dzHQltwrTjcuUsyFmsCn+d+QzXjO3G0MxEiitreOhLk1nc6sdibfnBWFkCnPolJUw3Jn9+BIpzIak7nPRn7j29D6nxdnYdKuPVeR52Q/c1iZmqD53mgO2/GC2N4Yjy0gbM1BqgAY5a+PZuQIMhl0PXEwGYcWZfkmPt7DhYyhsLdhor49HoqYCyqmgzzvgCM7mNSg/CnIfV9sl/g8RMbFYLT104iDCrhR/W5zF7fTN9ZoxAdx1tlVistlBu1pISe1fAsjfV9lnPQXgUcZHh/HWK6ob+4txt7D5Uapx8jSGuIycmGkmBh2ljC5a9CbmrITIBTn3U+XF8ZDgPTOkLwL9/2creI+VGSXgsiZmQMkCtKrb9bLQ0AY2ZmoU6+eVxqCyEtMEw6ibnx33T4rn5JNUN/ZGvN5jLVN/1xLpYrL0Si9UGKsxYUkLT4Pv7AA0GX+oKhgXOGpzOiT2Tqapx8PBX65tucGsE+iJv2xzlhg1hTDKSAhNTpqSWHoRfHlPbkx6E2JQGX583tCOjuiVRUe3gUXdawvsTSZn2CqaLxcpbCytVGipnPH1MMbppJ/ckIyGSvUfKm+887W/Co1yTmriOWk39YF3TlJRY+z9l5Q2PgVMebvCVxWLhkXMHEG6z8OvmA8zesN8YGRsj83iwx0PZIdi3ymhpDEWUlzZgyvS/uU9BZZFa4Y64/pivLRYLj507EJvVwo/r9/Pr5nwDhGwCPWV66xxpitdKNE0zV8yLpsEPM5RFbcAFql7FUURHhPHXs5Sp/uV528k+ZKLsHqm222ZM516vKoWfHlLb4+6G+IxjdunRIdZlEfxqPWVVJnke2cKhx0S1HeJjUpSXNmCqSQLgwBZY/pbaPu2JJsut90mL4/qxXQF4+Kv15jHVdzoOIhOh4gjsWWa0NAFJZY3DWTfFFDEvG79S6cZhkQ1cmEdzxsA0TujZnqoaB499u8GPAraAbqbPWQqlJsvSCxDKzFZS4rf/U67AxM4wZlqTu02b2IuOiVHsK6zg+Z+3+VHAFuglFmoQ5aVNmK4M+08PgVYLvc9wpR43wV2n9iY13s7uQ2W8udAkwbu2MFcH1RC/MVtLfUXUcKW6ugJm/1Vtn3Bnsy0ALBYLD589gDCr6vJrGotgQidIHQRosO0no6UJSCrM5MY8kqOUF4BTH2u2BUBUhI2HzxkAwJsLd5gneFdPmd63CkpMcp8YgCgvbcBUN+XOBbD5O9WTpZkVrk6sPYwZZ/QD4KVft3GguNLXErqHpEy3CV2hDrdZCDc6OHL5W6o3UFyGUl5aoFdqHNef0BWAR7/eQFWNSQISJRarTZiqEvncp1Ttni4nQP9zW9z9lH4pjOuVTHWtZp4Cn3GpkD5UbYewQi3KSxswTUqqwwGzH1DbI6+HDr3d+tk5QzIY0imB0qpanp2zxYcCekDPU1Tn6/z1apUkeIRp4rAqi2HBM2p7wl8gIsatn90xqRfJsXZ2HizlvSW7fSigB+ixWNt+klisVuByrxs83RzYDKvfV9unPqpq+bSAxWLhr1P6Y7XA9+vyWGKWAp/SZVqUl7ZgmpiXDV+o1OiIOBh/n9s/s1otzkDJj5Zlszmv2EcCekB0EnQapbZD+MZsLaZJ31/0ksqISOoBQ69y+2dxkeHcfWovAJ7/eSuF5dW+ktB9Oo2EqCSoKIScJUZLE3CUmcVC/cvjKnC871nq/9RN+qTFcVldgc/Hv92IwwzNuJwp079ArQnuEQMQ5aUNmKKehqNWmUIBxt4OsR08+vlxXZM4Y2AaDg2e+G6jDwRsBdIUr9WYogx76SH4/d9q++QHVCyTB1w6MpOeKbEUlFWbI3XaaqtXHEzGpKeYoqTE3pUqeBwLTHzA459PP7U3sfYw1u4t5Iusvd6Xz1M6DlcKdWWhCiYPQUR5aQOmSAFc9ykc3KyydEZPbdUh7jujL+E2C/O3HDBHoKRupt85H6pNVEgvADDFmFz4LFQVQ9og6H++xz8Ps1m573RVTPGt33aao5hiL1GoW0u5GVyZP9fFAQ6+FFL7e/zz5Fg7t03sCcDff9js/DcZhtVWL7khNC3Uory0AcPNobU1LqvLCXeoirqtoEv7GK4d0xVQN6bhZtHUARDfEWrKVSCy4DautFSDxmTRPlj6utqe9BBYW/eImdQvheO7JVFV4+Cfszd7UcBW0nOSCoY/sAkKTBKLEyAYnpW5cwHs+BWs4TBxRqsPc/0JXemYGEVeUQX/XbzLe/K1lt716mKFIKK8tIFyoyeKNR/B4e0Q3R5G/bFNh7ptYk9i7WFszC3i+3UG95ixWKSWQSsx3JX52/NQWwmdx7hWhq3AYrFw/5kqG+7zVXvZmFvkLQlbR1Q76DxabYfoSre1GB4bOO9p9T7iWmjXtdWHiQy3cecpKh7r5bnbKa4wONakx8mu5IbCPcbKYgCivLQBQyeK2mrXTXnCXWCPbdPh2sVEcOOJ3QB4ds5mao22vtRPmTZTbxGTY2hrgJJ8WFHXyXz8vW5lczTHkMxEpgxOR9PguZ9MkA3XS7pMtwZDx+TuRapIojUcTry7zYe7YFhHuneIoaCsmrcW7mq7fG0hOkkV9oSQVKhFeWkDhsYXrP4QjuyGmBQ47g9eOeQfxnUjMTqc7QdK+XyVwUFp3U4Cmx0Ks5WpXnALQ8fkohdUDY2OI6D7RK8c8q5JvbBY4Mf1+1m3t9Arx2w1epfpnQtUiXnBLcqNLCmhp+sPvUIVHGwjYTYr009VpSheX7CDgtKqNh+zTeiB5JtDT6EW5aUNGBbz4qh1VYkceztERHvlsHGR4Uwd3wNQK11Di4RFxLiqBMtK120MG5Nlh1U3c4CT2m510emVGsc5Q1Tvmed+2uqVY7aaDn1USfnaStgxz1hZAghnzIu/x+Telao2j8XmFauLzpkD0+mXHk9JZQ2vzDc4G67PFPW+Yy5Ulhgqir8R5aUNGJYCuOlbOLRVBeiOPLb5Ylu4dkxXOsTZ2VNQzmcrDfajSrVdjzHMlbnkFagqUaX09f83L3HHpF5YLfDTxv2s2XPEq8f2CIvFZX2RWCy3Mew5ueCf6n3QxZDUzWuHtVot3DNZWV/+u2i3sdaXlH7QrptSqLf/bJwcBiDKSyuprnVQXatiMaLD/Vj2WtNg4b/U9qibwR7n1cNHRdj4Y1031Vfn7zA29sXZFG8JlBcYJ0cAYYiJvqJQKS8AJ93jNauLTo8OsZw3tCNgAutLL4nF8hRDqj7vXw+bvgEsMG661w9/ct8U+qfHU1ZVyzuLdnn9+G5jsUDfOuvLpm+Nk8MARHlpJfUb4EX6s1vqzvmwbyWERcHxravr0hKXj+pMYnQ4Ow+W8v26XJ+cwy3adYEOfVWzyW2htapoLYZkdix/SykwyX2g3zk+OcXtddaXXzblG5t51PVECI+G4n2Qt9Y4OQIIQ8akvsDrf65y93kZi8XirPvy9m+7KKk0sG1E37PU+5YfQqrarigvrURf4VotEOHPBnj6TTn8aohJ9skpYuxhzrovL/26Hc3IFab08PAIv7cHqKmCJa+q7RPuaHVdl5bolhzDGYPSAXh1noFxBuGR0H2C2hbXkVv4vaRE4R5Y/7na9mKsy9GcPjCN7skxFJZX88GSbJ+dp0UyR0F0slpA7P7NODn8jCgvraT+asLiZTN5k+xbpYotWWwwZppPT3Xd2K5ER9jYkFvE3C0HfHquZqlfiMlhcFXLAMDvq9wNX0BxLsSmqtgCHzL1JBVM/vWaXPYUlPn0XM3iTJkWhdod/B6HteRVcNRA13GQMdRnp7FZLUydoMbk6wt2NLDG+xWrDfrUxWKFkOtIlJdWYkib999fUO8DL1QuFR/SLiaCK+qakb38q4Er3czjwZ4A5Ydhz3Lj5AgQ/JoqrWmuHkajboIwu09PN6hTAif0bE+tQ+PNhTt9eq5m0ZWXPcug9KBxcgQIfo15qSyGFe+o7TG3+fx05w3tSEZCJPnFlXy20sDyErrraNO3IROLJcpLK3GZQv10CYv2qVUuwFjfWl10/jCuO+E2C0t3HWbtHoNqbNjCVWl2gM2hs6poLX5tD7BrIeStUfFXI2/0/fnAmcr/4dIcjpQZlOWR0FH1bUJTqbhCs/jVGrjqPdWssH1PV3C1D4kIs3LjOJXg8PZvO41zsXefoGKxivZCbpYxMvgZUV5aid+rRi57U5lCO4+F9CF+OWVaQiRn1sUZzPp9l1/O2Sj964JAN3wZMquK1uJXE/2iOkvg0CtUtU8/cGLPZPqlx1NeXcvHy3P8cs5G0VOmN31jnAwBgt9SpR21sPgltT36Vp/FXx3NxSM7ERNhY2t+Cb9vP+SXcx5DeJRrkRciriNRXlqJX1cT1RWusuut7BzdWq4d2xWAr9fs41BJpV/P7aTnqWp1X7BLrfSFJvFbB9+DW+uKB1rUROEnLBYL145RLtN3F2cbl8rf72z1vvUnqbbbDH4tKbHpG1V1PCoJhlzu23PVIz4ynAtHqOq9b/+2y2/nPYb6rqMQQJSXVuLX2IJ1/4OyQ5CQ6aqo6CeGZSYypFMCVTUOPlxm0ErXHutaVWz4yhgZAgS/KdWLX1bvfc6A5J6+PddRnDu0I/GRYWQfLmPelny/nttJ2mDV5K+mXDLhmqHcnyUlFtVZXY670WtVx93lmrrszJ837Sf7kEHB5L0mq2SO/A1wyODKv37Ap6Np/vz5nH322WRkZGCxWPjiiy9a/M28efMYMWIEkZGRdO/enVdeecWXIrYav6WkahosrrsGx/0BbH4MEKZupVtnfXl38W5qag1qGdD/PPW+4QtxHTWDX9JSK4pUR3OA49vWzbw1REXYuGRkJgD/WbTb7+cHVHGw/ueq7Q1fGiNDAFDhr5ISeWshZzFYw7zW680TeqbEclLvDmga/MeoonXRSaoOEcDG4F/k+VR5KS0tZciQIbzwwgtu7b9z507OPPNMxo0bx6pVq7j//vu54447+PTTT30pZqso95cfd/dvsH+tcpsMv8a352qCKYPTSY6NILewgp82GrTS7X0a2CLg0DbI32iMDAGAq4+MD5XcNR+pVgDte0G38b47TzNcNVq5juZtOcCugwa5bXSFestsqDIwddvE+K2khN5Xq9/ZEJfmu/M0g+7O/HTlHiprDEqbHnC+etfr3AQxPlVezjjjDB5//HEuuOACt/Z/5ZVX6Ny5M8899xz9+vXjD3/4AzfccAPPPPNMk7+prKykqKiowcsf+C22QC8ANuQyvwVFHo09zOb06X5iVJBkZDz0OFlth8CqojVomuZyZ/rKRK9pqqIuqBWuv2ocHUXX5BjG1610P1hmUIGwjGGQ0BmqSyXrqAn8UlKiohDWfKy2DbC66Izv3YHUeDsFZdX8bNQir9/ZynWUuzroXUeminlZtGgRkydPbvDZaaedxvLly6mubrzs8cyZM0lISHC+MjMz/SGqf2ILivNg83dqe9RNvjuPG1w8Ql3XXzfns7+owhghxEzfLJU1DqdHzWfjMnuR8qmHRyuF2kAuH6XG5Ber9hoTuGuxNMyEE47BLyUlVn+kFMgOfaHLCb47TwuE2axcONzgRV5MMnQ7SW3rpTWCFFMpL3l5eaSmpjb4LDU1lZqaGg4ebLwY1IwZMygsLHS+cnL8M2jK/ZGSuupdlR6deTykDvDdedygZ0osI7u0w6FhXDGmPmcon3b+BpXtIjRAnyjAh8rLsjfU+6CLISrRN+dwk5P7ptIuOpz9RZUs2GpQFWjdTL/lB5UVKDTA5yUlNA2W17mMRt5omCVQ5+K6WKx5Ww6QV2jQeAgR15GplBfgGL+oXvSnKX+p3W4nPj6+wcsf+PymdDhgZV2lyBHX+eYcHqIHSX6yPMeYYkxR7VwxFuu/8P/5TY6uUEfYrIT5IjiyeL8r28tA87xORJiVc+u6Tf9vxR5jhOg4AuI7qRig7dI89Gh8bqHe/Rsc2AThMTDkUt+cwwO6JccwqmsSDk3FvhiC7jrKWxvUriNTKS9paWnk5eU1+Cw/P5+wsDDat29vkFSN44x58ZXlZccvcCQbIhNcmrTBTBmcTnSEjR0HS1ljVMXdAeep93XmC+I2Glf6vo9u61X/AUc1dBoF6YN9cw4PuaguFmv2hv0UlhnQUbe+60gU6mPweUkJ3RI4+GL1rDQBF490uY4MWeRFJ0F3fZEXvNYXUykvY8aMYc6cOQ0+mz17NiNHjiQ8PNwgqRrH5yuK5XVF6YZcrqonmoAYexiT+im33ter9xkjRL+zVdbRgY2wf70xMpgUn6ZJOxyw4j9q+zj/tAJwhwEZ8fRNi6OqxsGP6/Na/oFPhKhbXGz+TrKOjsKnJSVKDsDGr9W2n9pTuMOZg9KJCrex61AZ6/b6J4HkGJyuoy+MOb8f8KnyUlJSQlZWFllZWYBKhc7KyiI7W2UHzJgxg2uucaX/Tp06ld27dzN9+nQ2btzIW2+9xZtvvsk999zjSzFbhU/LsBfnwebv1bZJXEY6Zw9W7QK+WZOLw4ggyah2rsZ4az/x//lNjCsOyweZHbvmQ2G2apKpB06bAIvFwtlDMgD4Zm2uMUJ0Og4SOyvX0ZbvjZHBpPi0pMSaj1RMYMcRprEEglrkndwvBYBv1hq0yOt7looP3L82aOMDfaq8LF++nGHDhjFs2DAApk+fzrBhw3jwwQcByM3NdSoyAN26deO7775j7ty5DB06lMcee4znn3+eCy+80Jditgqfdkpd9V/QaiFzNKT08/7x28D4Ph2Iiwwjr6iC5bsLjBFiYN14WPupFKyrh0/T91f+V70Pusg0lkAdvf/W79sOUlBqQLNGi0UFMAOs/Z//z29ifDYmNU09JwGGXeXdY3uBs+rG5Ldrcg10HU1Q20HqYvep8jJhwgQ0TTvmNWvWLABmzZrF3LlzG/xm/PjxrFy5ksrKSnbu3MnUqf7t5eMuPnMbORyuiWLk9d49thewh9k4bYAqAmWY66j36RARqywBOUuNkcGEuMakl2/r8gKXed6EE0W35Bj6p8dT49CYvcEg15GuvGydA2WHjZHBhPjsObl3pQrUDYt0LWZMxIQ+KURH2NhTUM5qo+ID9TG55uOgXOSZKuYlkPBZfEH276q5mD3eVOb5+uhm+u/X5RnjOoqIhr51PZ7WyUpXx2djcu3/oLYSUgeqwmwmZEo9d6YhpPSD1EEqoFlqvjjxWUkJ3erS/1zTBOrWJyrC5owP/HaNga6j8Gg4vF0pe0GGKC+txGcxL1nvq/cB55nOPK8zpnt74uxhHCypZPWeI8YIoa8q1n0GtTXGyGAyXKtcL8e8rHpXvQ+7yvA6Gk3hdB1tP8SRMgNcR6BcaiCuo3r4pKREVZnLFWJCS6DOlEHKQv3D+jxjXEf2WNciT+9FFkSI8tJKfBLzUlXqWrUNvdJ7x/UyEWFWTurdAYBfNhlUBrv7BIhKgrKDsHOuMTKYDJ9YXvLWQm4WWMNh0CXeO66X6ZYcQ+/UWGodGvO3Nl7Q0ufo7ovdv0GhQTU+TIZPSkps/BoqiyCxC3Q50XvH9TLjenUgwmYl53A52w+UGCPE4LraN+s+hVoDSgn4EFFeWolPfLkbv1YZC0ndVVVdE3NyXxVNb1ijRlu4Kx1QVrqAj2JedKtL3ykQY65aS0czsY8ak3ONUqgTM+vK02vKIij45jlZP1DXat4pLMYexvHdVT864xZ5EyE6WS3ytv9qjAw+wrz/8yanwhcpgFnvqfchV5jWPK8zsW8KVgtszC1i75FyY4QYXGcJ2PAVVBq0sjERXjfR11S5Gt6Z2DyvM7FOoZ675YAxvY7A5TrSr1uIU+Ft5aVgF+xaAFhUDSyToy/yDFNebGH1xmRwuY5EeWkF1bUOqmvVwzHaW/EFR7Jh5wK1bYIy1y2RFBPB8M7tAPhl435jhMg8Xlmpqkul0zQ+6OC7/WcoPwyxqa6O3iZmRJd2xEWGcbi0ijVGxWL1P08VUdy/VrncQpwyb7sy19TVdup2krJ0mRxdeVm+q4CiCoPcNvoib9O3UFlsjAw+QJSXVqBPEgCR3uqWuvojQKu7KTt755g+Ro+m/3WzQU3xLBYYeoXa1gOdQxivm+h168HAC8HqwwakXiLcZuWkXioWy7AxGZ2kGogCrHrPGBlMhFfHpKbB2roxOdi88Vf16dI+hu4dYqhxaCzYYlAsVsZwaN8TaspdJQ+CAFFeWkFF3WrCalFN8NqMpsHqD9T2kCvafjw/Ma5XMgBLdhyiutZhjBCDLwMsypRcsMsYGUxChXOV64UxWVGkyt1DwEwUABP61CkvRpnpAYbWudjWfqxcbyGMV4PIc1fDwS1gs6s2IQHCyXos1maDxqTF4grcDaJFnigvraD+aqKpbtcesXelysUPjw6om7J/ejyJ0eGUVtUaZ6ZPzHQ1IVv9oTEymASXid4LbqNN30BNBbTvBelD2348PzG+Lgtu3b5CYxo1gnKxxaZB2SHY8oMxMpgEr8a86O1A+pxhytouTXFC3SJv0Y5Dxgkx5HKci7zDO4yTw4uI8tIKvB5boNcs6HOmys0PEKxWC2O6qwyU37YZeGPqaeVZ76sKxSGKV030enDf4EtMHzxen5T4SLp3iEHTYOkugyrd2sJccWtZoe068lrMi6PWlVUYQJZAgOO6JhFmtbCnoJycwwY17kzMhB4T1XaQuDNFeWkFZd40zztqYX1dWqUeFR5AjO2pVhW/bTPInwuqkmREnKpMnP27cXIYjNeUl+I82DlfbevFAAOI0XUK9aLtRirUda6jrXOg2KCAdhPgtTG5cz6U5EFkIvQ8te2C+ZFYexiDOylLkaHWl2FXq/es99W8E+CI8tIKKryZkrr7dyjOVWbQAMjoOJoTeqiJYlX2EaeJ2O9ERMPAupovQbKqaA3l3lKq130KmgM6jYKkbl6QzL/o1sDFRk4UHXqrbtNaLawJXXem10pK6C6jAedBWETbjmUAY+qek4uNVKj7ToGodlC8D7b/YpwcXkKUl1bgVfO83pun3zkQZm/78fxMt+QYkmPtVNU6WLvXoAZk4HIdbfgCKgyUw0C81h6gvssoANELg23MKzKuVQC4xuSq94KyMV5L1C8p0aZnZXW5quUErsDTAGNMdxPEvYTZXddv5X+Mk8NLiPLSCvRJos2tAWqqXO0AAtBlBGCxWBjRJRGAFbsLjBMk83jo0Beqy0K2QJhXMjsOblNZHRabq4JxgJESF0mPuriX5bsMHJMDL4CwKDi4OSS7n9e3xLbpWbnlR6gqhoRMyBztBcn8z4gu7bBZLeQWVrDPqKKe4HIdbf4eSg109XsBUV5agR7z0uamjDt+hfICVQSs6zgvSGYMI7uola6hyovFAiOuV9vL3w7Jla5XMjs2fK7eu4+HmGQvSGUMegHFrJwjxgkRmeDqd7T8LePkMIjyeiUl7GFtmGrW143JAeebuh1Ac0RF2OiXHgcoF7thpNV1hndUB3zF3cAcCQbjNT+unmU04PyAKALWFMO7qIli5e4CY7qn6gy5FMIiIX897FlmnBwGUeaNWKz1dZbAALW66Awzg/ICMPIG9b7+cygzKPvJILxSUqKqDLbOVtsDzvOOYAYxLFONyVXZBi7ywGV9WTEroBd5ory0gnJvdJSuLlflmsG1OgtQBnaMJyLMyqHSKnYdMigVEFQw2oAL1Pbyt42TwwA0TauXwt/KcXlouyprb7GpDK4AZmhmIqCUF8P6HAF0HA5pg6G2MqgKhLlDm8cjKMWlukxVHc8Y7iXJjGF4nXt9pdHKy6CLISJWFfzbtcBYWdqAKC+twCsBu9t+Uh2kEzqrrIQAxh5mY3BHlQq40kjXEcDIOtfR+s+USy5EqKxx1bdp9WSxvp7LKDrJC1IZR+/UWKIjbJRU1rD9gIFNOy0Wl/Vl+VsBvdL1FK8s8jZ8od77nxtQ9YYaQ7e8rNtXRGWNganKkfGuwN1lbxgnRxsR5aUVlHsj5kWPnu9/TsDflACD6uoYrNtncKZPp+MgZYCqDrs6sH26nqCPSWiDUq1PFAHuMgIIs1mdtTUMN9MPukjVITq83VU/JwRo83OyqkwF6wL0D/wx2aV9NEkxEVTVONiwr8hYYY67Ub1v/AaKco2VpZWI8tIK2mx5qal0lQ3vd46XpDKWgRlqoli/1+Cb0mJxWV9WhE7gblndmIywWbFZW6EMH9quuiAHgctIZ2imHvdisEJtj3OlnYdQ4G6bn5Pb5iiXUUJn5X4LcCwWC0OcizyDn5OpA6DzWFWHaOU7xsrSSkR5aQVOc2hrVxQ75kFlEcSlB7zLSGdgndtoQ24RDiNjDEBNFOExcGBTyKx0y6tqAHEZ1WdARjwAG3MNnijApVBv+kZVMA4B2lxSYv0X6j1IrNMA/evGpOGWF3BZX1bMglqD+oC1AVFeWkGbVxQb6zI6+p4VsKl/R9OjQwz2MCsllTXsNqp/h05kAgy9XG0vecVYWfxEm9P3g8hlpNMvXU0Um/KKjA3aBUgbpGoROWpCxvrSpr5G1eUul5EehB8E9E93LfIMp985ENNBVXjXk0cCiOCYOf1Mm3y5tTWw6Tu13T84XEagYgz61k0W64ystKtz/FT1vvn7oOmi2hxtUl6C0GUEqvpzZLiVimoHuw6VGi2Oa0wuexOqK4yVxQ+06Tm5dQ5UlwaNy0hHt7xsNoNCHRYBw69V2wEYuCvKSytokzl090IoPwzR7ZXPMYgYWHdjrjeDSTS5V10DNw2WvGa0ND7HNVG0ojWAvurqNi5oXEYANquFPmkmch31OwfiO0HZQVdbkCDGVXeoNWPyG/UeRC4jgC5J0URH2KiodrDzoAkU6pHXq0XLrgWQu8ZoaTxClJdW0KZiYHqWUZ8zwdbGHjQmY4AetGt0xpHO6LqV7qp3ocIEk5cPKW1LzIuuvASR1UWnf11VU1PEGNjC4Pib1fail4I+mFyPw4qxezgma6tdLqO+U7wslbFYrRb6ptWNSTMo1AmdXMX/Fr1oqCieIspLK2j1KtfhqLeiONfLUhlPn7RYALblG1hXoz49JkFyb9UXJcgLhLXabVRyAHKWqO0+Z3hZKuPpn24iywvA8GsgPFpVgQ7yYPLS1sa87P4dKo4o63Tm8d4XzGBMFbQLMOY29b7uf1C0z1hZPECUl1ZQVt3KVe6epVCyH+wJ0G28DyQzlp4d1Ioit7CC4goTRK9bLHD8H9X20leV8hiktDq+YMv3gKb6nSR08r5gBtPPqbwUGyxJHVHtYOgVanvxy8bK4mOcCrWnbqPNdTGBvc8I6LYpTVE/kNwUdByhQhgcNbA0cFzsory0An2i8Ngcqpvne09WwVJBRkJ0OB3i7ABsP2ACfy7AkMtV9tHhHbA58CLq3aXV8QX6mOwTXOZ5nV6pSqHOK6qgpLLGYGnq0AN3t/yggqWDlFa5jTStnhszOMdkjw7KQr3DLM9IcFlflr8FlSaxnLeAKC+toLSylSsKvTBdEJrndXqlmMx1FBEDx/1BbS/8V9DGGegThUeWl8oS2P6r2g7SiSIhKpzkWLVQ2GmWySK5F/SaDGjw+7+NlsZntCpVOm8tFOYo11qPiT6SzFh05WVPQZmzya/h9DkDkrpDRWHAuNhFefEQh6OVDfAObVeNsKxh0PMUH0lnPD3rlJet+SYx04Na6YZFwt4VsGuh0dL4BKeJ3pNV7vZfVMPAdl0hpZ9vBDMB3ZPVmDS0x9HRnHCXes96L2iL1rUqDku3uvQ4GcKjfCCV8STHRhAXGYZDg91GNrKtj9UGo29V24tfAodJlKpmEOXFQyrqNdTy6KbUrS5dxio3RpCiW162m8XyAhCbAsOuUtsL/2WsLD6itDXxBfWzjIIoHfVoeqTEALDDTMpLl7EqGLW2KuCyPNylTM+A82RMbg5ulxGoNgEu15GJxuTQK1RMVsFOV8VtEyPKi4eUtbYB3ubv1Xvv4HUZAfQwm9tIZ+ztqp7B9p8hd7XR0ngdj91GtTUuhTqIJwqoZ3kxQ10NHYsFTpyutpe/FZQd0Ms8jQ0s2F1XLNEKvU7zoWTG072DUqhNZQ2MiHFZXxb80/QJDn5RXl566SW6detGZGQkI0aMYMGCBU3uO3fuXCwWyzGvTZs2+UPUFimvV+PF6m4DvPIjkL1Ibfc53TeCmYReKSpAMvuwify5oFwjA+vKjC98zkhJfILH8QXZwZ2OWh99ojBVgCRA79MgdSBUlcDSwKtw2hK6e91thVpf4HUeCzHtfSSVOdAtL6ZJbNAZdTPY4yF/Q10monnxufLy0Ucfcdddd/HAAw+watUqxo0bxxlnnEF2dnazv9u8eTO5ubnOV69evXwtqlu0yo+77SeVhpbcRwVFBTHJsRHE2ZU/d0+BSfy5OnqcwYYvgi7Lw+OJQi8C1uu0oExHrU/3uoli58ES45uG1sdigRPvVtuLX4Iqk01kbURPbHDbbaRPlkGc0KBjSrcRQFSiK8Fh/j9MneDgc+Xl2Wef5cYbb+QPf/gD/fr147nnniMzM5OXX26+xkFKSgppaWnOl81mjgdsqyqZOrOMgtvqAsqfm5kUDUDO4XKDpTmKtIEqy0NzwPxnjJbGq3isVG/7Sb33OtVHEpmHzHZRhNssVFQ7yC0yWU+h/ucpq2D5YVjxjtHSeBWPXJmVJao4HSiLVJDTw+k2KkUzm4Iw5jYIi4J9q1RQv0nxqfJSVVXFihUrmDx5coPPJ0+ezO+//97sb4cNG0Z6ejqTJk3i119/bXK/yspKioqKGrx8icfFwGqrYetstR3k8S46mUkqSyDb6O7SjTH+PvW+5kM4uM1YWbyIy23kxir3SA4c2KRiC7pP8K1gJiDMZqVznUJtupWuLcxlfVn4L6gy4T3TCjRNo6zagwy4XQtV8HJiZ2jf08fSGU/n9tFYLFBSWcPh0iqjxWlITDKMvEFtm3iR51Pl5eDBg9TW1pKamtrg89TUVPLyGk8PTE9P57XXXuPTTz/ls88+o0+fPkyaNIn58xsvpT1z5kwSEhKcr8zMTK//O+rj0SQBkL1Y5c5HJUHmKB9KZh4y2+mWFxM+iDuNgN6nK+vLvKeNlsZrOAuCuaNU61aXTscFVSPG5tCVlz0FJrMGAgy9EhK7QGk+LHvdaGm8QmWNw+lxcKuNyrY56r3nqUGd+aZjD7ORGhcJmHRMjr0dbBEqNm7HPKOlaRS/BOxajhqMmqYd85lOnz59uOmmmxg+fDhjxozhpZdeYsqUKTzzTOMa4IwZMygsLHS+cnJyvC5/ffT0v2h3M410l1GvyUEfW6DTub2aKExpeQGYMEO9r/0EDmw2VhYv4VEfGV156Rn8LiOdTnUK9V4zThS2cBj/F7W98DmoNFGNpFZSWq+acYtZmZoGW+uUlxBwY+p0aqcs1KZUXuLTYcR1avuXx0wZ++JT5SU5ORmbzXaMlSU/P/8Ya0xzjB49mq1btzb6nd1uJz4+vsHLl3jcGiCE4l10dMuLaZWXjKF1HZQ1mPuU0dJ4BbebhdZUwY65artX8BZLPJqOzonCpGNy8KXKXVJ+GJa8YrQ0bUa3UEeGW7G1lJV5aDsc2a1W+l3H+UE6c2D6MTnuHhX7smeZax4zET5VXiIiIhgxYgRz5sxp8PmcOXMYO3as28dZtWoV6enp3havVZR64jY6vBMObVNVdXuc7GPJzENmPRO96YLRdCbUxb6s/xz2rzdWljaiaZrLItiS5SVniUrNjekAaUP8IJ050Fe5e4+YcJULKvZFj8f6/d+qvEIA48p+88Bl1HkM2GN9KJW5MLXlBSAuFUbX9eH6+THT1X3xudto+vTpvPHGG7z11lts3LiRu+++m+zsbKZOVRdlxowZXHPNNc79n3vuOb744gu2bt3K+vXrmTFjBp9++inTpk3ztahuUe6J22j7z+q906igrqp7NPpNWVJZQ0GZCbpLN0baIOh/LqCpGzOAqaxxoGcAt+g20ieKHpPAGjo1KjsmmnyiAFWHqENfFSO36AWjpWkTZfXqYbVICLqMwOXKNK3lBWDsHWBPgPz1sP4zo6VpgM+fXpdeeinPPfccjz76KEOHDmX+/Pl89913dOnSBYDc3NwGNV+qqqq45557GDx4MOPGjWPhwoV8++23XHDBBb4W1S08Kga2rS7NrGfoWF0AIsNtpMar7tKmDNrVOflvqurulu8DuudReb2qzy0q1VtDJ0W6PvpEsb+ogqoac60gnVhtMPF+tb3oRSjKNVaeNlBW6aYlsKrMde+FUAwWBIDlBVRA/wm3q+1fn1DZsybBL0uvW2+9lV27dlFZWcmKFSs46aSTnN/NmjWLuXPnOv++99572bZtG+Xl5Rw+fJgFCxZw5pln+kNMt3C7nkZNFeysi9IO4kaMTWH6uBdQ3X31oLTZfzWdWdRd9JTUCJuVMFszt3ThXrWCwhJSbkxQxRPtYVYcGuQVmqzWS336naMstdVl8OvjRkvTalyNQltwG+3+TTUHje8EHfr4QTLz4LK8mNi9DnD8LRCdDId3wIpZRkvjJHTsxl7CFbDbwk25Z6mKLYhODqnYAp1MM6em1mfCfRARqwoymcws6i7OVW5LQeS6G7PjiJBJkdaxWCzmD5AElSZ82hNqe9V7qtdPAOKs8dKiJVB3GZ0SEinS9clIVKnS5dW15nWvg4pD0mMEf33SNPFYorx4iLPCbks35ba6iaLHxJCKLdBJS1A35n6zVTQ9mtgUOPEutf3TI1BtcnkbwbnKdXuiCC3zvI4z7sWsQbs6maNgwPmApiyCZl6VN4Hb1XXr13cJMexhLve6qRVqgBHXq3is8sOqbYAJCL1ZtY24XWFXX+X2mORjicxJep3yklto8okCYPRtEJcBhdmw9FWjpfEYt+KwaqtdKdIhOFFAQzO96Zn0kEod3jHXVZcngHBrTB7arlwR1jDoPt5PkpmLTu1M2krlaGxhMLnOIrjkVVP0hhPlxUPcuilLDkDuarUdYrEFOmnxSnkxdXyBTkQ0nPxXtT3vHwEXKFlera9ym3Fl5iyFyiLVRTpjmJ8kMxfOdOlAUF6SuqkOvwA/PmCqQEl30J+TMc2NSd063XkM2OP8IJX50Bd5eWa3UINy7fU8FRzVMPtvRksjyounlLlTv0BvZpU2SOXKhyBpgXRTAgy5HDqOhKpimGP8jekJbinU+uq9x8kh6cYEl0KdXxwgY/Kke1TM3MHNqut0AFHmTgNbp8so9BIadFL1MRkoz8nTnlAZmpu/dVlyDSI0n2JtwK0eMiHuMgKX8pJfXEl1bQBk8VitMOWfgEW1Ddi5wGiJ3MatDLgQji3QSamLLzB9HJZOVDs49VG1PfcpKNxjrDwe0OKYrK5w3WMhGoMFOGNeAmZMdugDx/1BbX//F0MtgqK8eEhpZQurXIfDZXnpGbrKS3KMnTCrBU2DA8WVRovjHhlD4bgb1fZ39wSMqb68JRN9cV5d1oolpMekc5UbKOMRlEWw8xiVOv3DDKOlcZsWYwN3/wY15SrWLKW/HyUzF/qYDBgLNcDEGcr9rGlQtM8wMUR58ZAWy17vXwulByA8BjJH+1Eyc2G1WgLzxjz5r+rGPLAJFr9stDRuUdqSiV53GWUMU+3uQxS9i++Rsmoqqmtb2Nsk6BZBiw02fuUqMmhySlvqteVsDjop5FKk65MSp7uNAkihjmoH134Nt/wG7boYJoYoLx7SYg8Z/absdhKERfhJKnPijHsJhKBdnQam+pmqP5XJKauzBsY2VXvIOVGEbmwBQHxUGBFh6pEXMNZAgNQBMPoWtf3dPaoqrclpMVU6xNP2dQKmpMTRpA5Q3dANRJQXD3A4NCqqVfxG06tccRnpdIhV/tyAmigAhlyhuttWl8FXt5u+8m5JXZG6Rjud19a43JghPlFYLBZnjEHABO3qTLgP4jtCwU74xfy9uJp1rxfsgkNblTWpW2imSOukxKnxWFpV67yPBfcQ5cUDyuuZmhuNL6gshpzFajtEU6Tr06HuxjxYEmDKi9UK5zwP4dGwawGseNtoiZpFf+jF2htZCe1drhr9RbVTlXVDHN11tD+QzPSgUonP/j+1vfhl2P27sfK0gO7KjI9sZEzqlsDM4yEq0X9CmZAYexhxdRbTgLO+GIwoLx6g35AWC0SGN3Lpdi4ARw206wrte/hXOBOSHBugygtAUneY9KDanvMgHMlufn8DKanQlZdGVrkNUqTdaCYa5ARcxlF9ep0Kw64CNPjyNlO7j/Qx2WgbFWdz0NB2Y+oE9Jg0EFFePKC8Xpt3S2NBZnqKdIjHFugkx6mYnwPFVQZL0kpG/VEFXVeVwFd3mNZ9pCvVsZGNTRRSS6M+zgDJQHNl6pz2pHIfHd4BPz9qtDRNUuy0Bh41JmsqYed8tR3Cafv1cS3yAvQ5aRCivHhAcUUTN6SOc5Ur8S5QL+YlEC0voNxH574IYZGw41dYYs7sI31cHuPKLMmH3Cy1LcoL4HJlHgrUMRmZAGc/r7aXvGJ4obCm0C0vcUcr1NmLoLoUYlNVEU/BqbwE7Jg0CFFePMAZW9DYCvfQdhWIZg2DbuP8K5hJSdZjXgJ1lQuQ3FOtdgHmPAT7sgwVpzFKmxqXevn19CGqAaVAUoyyBh4K5FVur1NgxHWABp/drNqRmIhah+aMDzxmoVffEhjCKdL1aR8bBGPSAER58QB9kohrzPKiZ3Rkjg7ZPh1H06FezIsWgJ1xnYy8AfqepXp6/O8GqCwxWqIGlDRlopfy68fQXldeSgN8ojhtJnToByX74YuppnJp1s+aOSbmRdL2j6F9TJ3lpTSAF3kGIMqLB7hSUhtRXrZJENrR6ObQyhpHYKcBWixwzr/rYg22w3d/NlqiBjSqvNTW1BuTpxkglTlxrnIDfaKIiIaL34awKPX/vOjfRkvkRB+PEWFWZ10dAAp2q+KPFhv0mGiQdOZDH5MS8+IZorx4QJMxLw2C0ER50YmKsDmvVcDVejma6CS44HWwWGH1+7DiHaMlAkDTNJfbqP643LO0LkU6CTqNNEg68+Fc5QbDRJHSD854Sm3//ChkLzFWnjqc8S7HuIxmq/fOo1XqvgBAstNtFODPSD8jyosHNBlbkL1IFTSLTYXUgQZIZl6Sg2lV0fUEmPiA2v7uHshZaqw8qNpDjjqPXINxueUH9d7zFEmRroe+yi2rqnVmDwY0w6+FAReoEg0fXQWFe42WqOnYwC0/qvdek/0skblpX2ehPhzorkw/I8qLBzQZWyBBaE3Sri7GoKAsSG7McX+CfmdDbRV8dDUU5Roqjr7KtVpUCr+TLXWr3N7iMqpPrD2MCJt67AW86whcLs2UAVCaDx9dCdXlhorkdK/Xz36rKnVZp3ufboBU5qV9MASRG4AoLx7QpNtIz+qQlgDH0C66TnkJllWFxQLnvQwd+kJJnposDCwWVj8Oy1l76Eg2HNioXFxS6bkBFosl+LI77LFw+fvKFbNvFXx9p+r4axDOoon1LS8750NtJSR2hg59DJLMnOiWl+LKmsBpGGoCRHnxgEbNoYV7XBNFdwlCOxqn8lJWbbAkXsQeB5e9D5GJsHcFfPoHcBjz0ClpLANuc53LKPN4FasjNEBXXoLKTN+uK1w8SwXDrvkIfn3CMFFKKtW93mBM6m7MXqeJdfoo4iPDCLepaxJUY9LHiPLiAY2mSutWl44jZaJohHbRqrfJkWBxG+m07wGXfwg2O2z+Fr6/15DVbqMZcBu+UO/9zva7PIFAUkwAt61oju4T4Kxn1fb8f8CyNw0Ro6SuKaNzTNbWwMZv1HbfMw2RycxYLJbgqD/kZ0R58YBGJwo9CE2yjBpFj3kJyhVFlzFwwWuABZa9AfOf8bsIx5joi3JdTfv6n+t3eQKB9sE8JkdcB+PvU9vf3QMbvvK7CMeMyV3zoewgRLeHrif5XZ5AQLdQHykPwjHpI0R58YBjYl6qSl39jGRF0ShB6Taqz4Dz4PSZavvXx2Hhc349vbOvkT4mN34FaNBpFCR08qssgUJinTWwsDxIx+SE+1QWkuZQRRU3f+/X0x/jNlr3mXrvdw7YmmitEuIkROkW6iAdkz5AlBcPOCZVettPUFOh/M2SIt0oQes2qs/oW+Dkv6rtnx6CRS/67dRF5WpMxkeq68yaj9X7gPP9JkOgkRilr3KDdKKwWGDKszDwQlUV+qOrXXFQfqBBVmZ1BWz8Wn0x8AK/yRBo6Ap10I5JHyDKiwcckyqt35T9zpYgtCZwuo2CWXkBOOnPLnP9j/fDvH/4JQamqO5hFx8VBrmrYe9ysIariUtoFKflJZhXubYwOP81pcQ6quHjq13PKx9TVN9ttP5zqDgC8Z2gywl+OX8g4lSog9GV6SNEefGAkvpuo6oy12qm3zkGSmVunL7cYJ4odCbcB+P/orZ/fVwF8fo4C6mook55iQx3BWj2OxviUn163kDGaaIP9vgCWxhc8IZSYPS6REtf9/lpdYU6ISpcxYIBjLxeiiU2Q2KMWF48RZQXN9E0jZKqeiuKjV9BVTEkdlGZRkKj1HcbORwB3JzRHSwWmHg/nPF3wAJLX4NPrlOxUT5Cdxt1CCuDtZ+oD4/7g8/OFwwkRIdQfIGuwIy4HtBUEO+ch3zayFFXXjqWbVKWQFuEisERmsRpeQmFMeklRHlxk7KqWqcXINYeBqveVX8MuxqschmbIrHO8uLQXFaCoOf4P8JFbyr3zcav4I1T4fAOn5xKDzo9Pvc91aIidRB0GeuTcwULiaEWHGkLg7P+BRPr4rJ+ew4+uBTKDvvkdLrbqM+mutivARdAbAefnCtYcAWRB7k10IvIrOsmkeE25t4zgW9uP5Go4t2wawFggaGXGy2aqYkIszpjhII246gxBl4I134NMSmQvx5emwCbvvX6aYoqqsngIP2y31cfTJwh8VctoCvUQZtt1BgWC4z/M5z/KoRFqiaJr42HfVleP1VheTWjrRtI3POLKpo3/l6vnyPYCDmF2guI8uImNquFrskxDOyYgEXPJul5iqSjuoEeY1AUSpMFqDowf5wHnY5THZ4/vAK+uFVte4mi8ioeDX+bsNpyyBwNfSRlvyX0iaKksobqWt+5T0zJkMvgxjnK3X0kG96YBHOfghrvrPg1TaOqvIQnwurir0Zcqwo6Cs2SGB1kPeD8gCgvnlK0z+UyOvEuQ0UJFOLqUstDxm1Un/gMuO5bGHsHYIGs9+ClsbD+C69kI51Z/Cmn2FbhsIYr14BYXVokvk55gRCzvuikD1ZKdb+zVTfquTPh9ZMhZ1mbD11WWcMjtjfpYc1Fi0mFSQ95QeDgJ+hrD/kAvygvL730Et26dSMyMpIRI0awYMGCZvefN28eI0aMIDIyku7du/PKK6/4Q0z3+PlR1WCs8xhJ/XOTeKflpcZgSQwizA6TH4MbfoB23aBoD3xyLcyaAtlLWn/cZW9ya/UsAA6d8CCk9veOvEGOzWohvk6hDlkzfVQ7uOS/cNFbEJUE+9fCm6eoAPND21t3TE2DH+7lQtsCajULXPg6RCV6U+qgJbFeELlmYFPNQMLnystHH33EXXfdxQMPPMCqVasYN24cZ5xxBtnZ2Y3uv3PnTs4880zGjRvHqlWruP/++7njjjv49NNPfS1qy2z/BVZ/oLZPe0JWuW6iF1AL+VVF59Fwy28qnTosEnb/Bm9NhrfPVDU4atzstVNZAt9Mh2+nA/B6zZlox93kQ8GDD1fcSwib6S0WFZt121IYehVgUXVZ/j0CPrwSdi10PyupKBfeu5iYrLdwaBYet07F0n28T8UPJvRsoxqH5qwnJjSPz2s1P/vss9x444384Q8qffO5557jxx9/5OWXX2bmzJnH7P/KK6/QuXNnnnvuOQD69evH8uXLeeaZZ7jwwmMLb1VWVlJZ6XroFxUV+eYfUnZYxSuASkXtOMI35wlC4qNC2G10NBExKp162NUw72lY/aFSYnb/prpU9z0Lup4ImaMgsTPY6lwcVaWQvxE2fwfL34ZylSnyfM15PFtzMVfXPfwE90iMDif7cAhbXuoT2wHOe1FViv75Udj6I2z6Rr3iMlSPrK4nQMZwiEt3ZVeWF0DuGtUINOt9qKnAYY3gTxU3kpV0OuIwcp+oCBsRNitVtQ6KKmqIiwxv+Uchjk+Vl6qqKlasWMF9993X4PPJkyfz+++/N/qbRYsWMXny5AafnXbaabz55ptUV1cTHt7wP3XmzJk88sgj3hW8MSqLIDYF7HFw6mO+P18QoVteQi5gtzkSM+HcF5Qis+RVWPMRFOdC1rvqBWCxgj1emeMrjwryTerBwfFP8uwHtUSEWYkMlwJgnqAHkYe8NbA+aQPhyo8hfxMsflHFZRXvgyUvqxeo9P+IGNU3qfKohWKnUSwe8BCff1nIkCiZfD0lLjKMQ6VVFFdUA1FGi2N6fKq8HDx4kNraWlJTG1b7TE1NJS8vr9Hf5OXlNbp/TU0NBw8eJD09vcF3M2bMYPr06c6/i4qKyMzM9NK/oB7tusKNP0FJHkREe//4QYwz5kUsL8cSnwGnPgKTHlRm+u0/q67QuatVVdSKI659o9urGi4DLoB+55C/vwxY4OprJLiNHkSuN1sV6pHSF875N5zxDzUet85WsVkHt6hWA/XHZHxH6D4RBl8C3U4id+VeYLUzpkhwH5fyImPSHfwywixHxYZomnbMZy3t39jnAHa7Hbvd7gUp3SAsQpnyBY/QH2QhG7DrDlYbdB+vXqBiDUoPKNO81aaCKmPaN/iJszVAlEwUnhJnVwpfsSjUTRMeCX2nqBdAbY2yDlaXq3iZuDRlia5HYf3WAIJHxIdqSYlW4tOnXnJyMjab7RgrS35+/jHWFZ20tLRG9w8LC6N9+/aN/kYwN2J5aQVWq+pP1EyPIj1eQyYKz3FaXiQ40n1sYcrd2QwuhVrGpKeINdAzfJptFBERwYgRI5gzZ06Dz+fMmcPYsY2XMB8zZswx+8+ePZuRI0ceE+8iBAYhW6TOx+gFrZKiJVjXU/SASJkovIso1K1HrIGe4fNU6enTp/PGG2/w1ltvsXHjRu6++26ys7OZOnUqoGJWrrnmGuf+U6dOZffu3UyfPp2NGzfy1ltv8eabb3LPPff4WlTBR0iqtG/QlZd2MaK8eEqsrHJ9gj4m28uY9BhXMU8Zk+7gc2f5pZdeyqFDh3j00UfJzc1l4MCBfPfdd3Tp0gWA3NzcBjVfunXrxnfffcfdd9/Niy++SEZGBs8//3yjadJCYOBKlZab0psUlNZZXmSi8BiXiV4Uam9yuG5MthNroMeINdAz/BLpd+utt3Lrrbc2+t2sWbOO+Wz8+PGsXLnSx1IJ/kJSpX2D3uhSr84puE+8WF58gtOVKQq1x4hC7RnS20jwOXrwXmWNg4rqWoOlCR6clhdZ5XqMa5UrE4U3KShV11NcmZ4jbiPPEOVF8DmxdpeBr1SyO7yGvspNFOXFYySzwzdIEHnriReF2iNEeRF8js1qITpCVYCVvh3eQ3cbiYnecyS+wPtUVNdSVqUsq+1ixJXpKaJQe4YoL4JfiKmzvojy4j0OOwN2ZaLwFH2iKKmsweGQLr7eQLe6hFktDaytgnvo7nWxvLiHKC+CX9AfZiWyqvAKNbUOZ0EwcRt5Tly98vUlVTImvYEz0ygmotkK6kLjiOXFM0R5EfyCrryUykThFQrLq6nrmkGiFATzGHuYjYgw9fiTycI76MG6Eu/SOsSV6RmivAh+Icaux7xItpE30ONd4iPDCLPJbdwa4uySmupNDjuLJooy3RrquzJrxZXZIvLUE/xCbF3pa3EbeYeDJZUAJMf6qSlpECJmeu9SIAXq2kRMhMuVWS4lJVpElBfBL8TWWV4kVdo7iPLSdvQWATImvYOMybYRGW7FWhcqJGOyZUR5EfyCZBt5lwPFaqLoECcTRWuJjtCVF1nlegMZk23DYrHIc9IDRHkR/EJspNyU3sS1yhUTfWuJqas9JEHk3kEfk6K8tB7ddVQmCnWLiPIi+IXYCDHRe5ODxSq+QEz0rUdf5cqY9A5Oy4uMyVbjSmyQMdkSorwIfkHMod7lgKxy24xzlVslq1xvoCsvyTImW43+nCwTa2CLiPIi+AVxG3kXCY5sO6JQew9N00Sh9gK6Qi1jsmVEeRH8QqyY6L2KBEe2Hd1EXyZjss0UlldTXatqk0gcVutxuTLFGtgSorwIfiHWLjU1vIWmaS7LiygvrcZleZGJoq3o4zE+Mgx7mM1gaQIXp0ItbqMWEeVF8Asx0h7Aa9Rf5baXjtKtRs82komi7eSLJdAriCvTfUR5EfxCrJhDvUZeUQUA7aLDiQyXVW5riZb4Aq8hbkzv4FKo5TnZEqK8CH5BUgC9R26hUl7SEqIMliSwcWV2yETRVvQxmS5jsk2I5cV9RHkR/IK+yq2qcUjTsTay3zlRRBosSWATIy0rvEaeU6GWMdkWdAu1BJG3jCgvgl+IjnC5NyTGoG3oq9zUeJko2oLEYXmP3MJyQBTqtuJyZYo1sCVEeRH8gj3MiqWu6Zh0TG0beWJ58Qox0tvIazgtL6JQtwmxBrqPKC+CX7BYLETVBZeWS4xBm8gtEhO9N5CJwnvo1sCMRIl5aQuuqs8yJltClBfBb0RLJL1XkJgX76BPFJU1DmpqHQZLE7hU1zqc1XVFoW4bErDrPqK8CH4jSpQXryDxBd4h2u6KwyqVMdlq9hdVoGkQYbOSFC11h9qClJRwH1FeBL8RHa5uTHEbtZ6iimqK6qoUS1pq27CH2Qi3qUAsMdO3HmcAeYIdq9VisDSBjb7Ak7jAlhHlRfAbUVLRtM3kHC4DVP8Y3cQstJ7oCOm51Vb0MZnZLtpgSQIfUV7cR5QXwW9Ey43ZZvSJopNMFF7BFUQuMS+tJbtuTHZOkjHZVvTxKPWwWkaUF8FvSMBu25GJwruIQt129DGZKWOyzdSvhyVjsnlEeRH8RlSElGNvK6K8eBe9N5RMFK0n+5Aak13ay5hsK/XrYYl7vXlEeRH8RrTTRC83ZWvJPqwyjUR58Q7OGAMZk61GFGrvUb8eVoW4MptFlBfBb0iqdNvJERO9VxG3Udsor6olv66jtCgv3iFKrIFu4VPlpaCggKuvvpqEhAQSEhK4+uqrOXLkSLO/ue6667BYLA1eo0eP9qWYgp+QmJe2UevQ2FOgKy+SJu0NIiVgt03k1I3HuMgwEqLCDZYmOJCsTPfwaa7lFVdcwZ49e/jhhx8AuPnmm7n66qv5+uuvm/3d6aefzttvv+38OyJCCh8FA7ryUiErilaxv6iC6lqNMKtFarx4CVnltg093qVzUjQWi9R48QYyJt3DZ8rLxo0b+eGHH1i8eDHHH388AK+//jpjxoxh8+bN9OnTp8nf2u120tLSfCWaYBD6KlcsL60j25kmHYVNioF5hWiJeWkT+piUYF3v4RqT8pxsDp+5jRYtWkRCQoJTcQEYPXo0CQkJ/P77783+du7cuaSkpNC7d29uuukm8vPzm9y3srKSoqKiBi/BnERLtlGb2HWwFJB4F28i2UZtI1sK1HkdGZPu4TPlJS8vj5SUlGM+T0lJIS8vr8nfnXHGGbz33nv88ssv/POf/2TZsmWcfPLJVFZWNrr/zJkznTE1CQkJZGZmeu3fIHgXV3CkrHJbw9b8EgB6pcQZLEnw4Mo2kpiX1rCtbkz26BBrsCTBg8QGuofHysvDDz98TEDt0a/ly5cDNOoD1TStWd/opZdeypQpUxg4cCBnn30233//PVu2bOHbb79tdP8ZM2ZQWFjofOXk5Hj6TxL8hGQbtQ2n8pIqE4W3cKbvi0LdKrbmFwPQU8ak14iS2EC38DjmZdq0aVx22WXN7tO1a1fWrFnD/v37j/nuwIEDpKamun2+9PR0unTpwtatWxv93m63Y7fb3T6eYBziy20b2/ariaJXikwU3iJKxmSrKSyvZn+Rsoj3lDHpNVwZcDImm8Nj5SU5OZnk5OQW9xszZgyFhYUsXbqUUaNGAbBkyRIKCwsZO3as2+c7dOgQOTk5pKeneyqqYDLEHNp6iiuq2VfXvVcmCu8h8QWtZ1ud1SU9IZL4SEmT9hbynHQPn8W89OvXj9NPP52bbrqJxYsXs3jxYm666SbOOuusBplGffv25fPPPwegpKSEe+65h0WLFrFr1y7mzp3L2WefTXJyMueff76vRBX8RFS4BOy2lu0HVLBuhzg7idFSOsBbREkGXKvZsl+5MUWZ9i7OCruiUDeLT4vUvffeewwaNIjJkyczefJkBg8ezH//+98G+2zevJnCwkIAbDYba9eu5dxzz6V3795ce+219O7dm0WLFhEXJ0GKgY6kpbaereIy8glSe6j1bK1TXnqnyrPZm0gPOPfwaZG6pKQk3n333Wb30TRX2++oqCh+/PFHX4okGIjTHFpd22LgttCQbc5MI1FevEmktAdoNXqwroxJ7yJF6txDehsJfkMPjtQ0qKyR1FRP2FJneRETvXcRt1Hr0S0vkv3mXaTflnuI8iL4Db1IHchk4Snr9qnii/0zEgyWJLhwuo1kPHrEoZJK8opUALm4jbxLlGQbuYUoL4LfsFktRISpISerCvfZX1TBgeJKrBbonx5vtDhBhZjoW8favSpOsXtyDHGSaeRVJH3fPUR5EfyKa1UhQbvusnaPmih6psQ6H2yCd5B+W61jXZ3yMrCjWAK9jdOVKQp1s4jyIvgVqWHgOev2yUThK/TxWFnjwOHQWthb0NEtL4NkTHqdKHFluoUoL4JfkRYBnrNOJgqfUd+SVVEjY9Jd1u1VMViiUHufKAnYdQtRXgS/Ii0CPEcmCt8RGeZSXmRMusfh0ir2HikHYEBHicHyNpIB5x6ivAh+Jbquyq6sKtxjf1EFeUUVEqzrI6xWC5Hh6jEok4V7rNlzBIBuyTHSFsAHSOFE9xDlRfArkWJ58YjluwoA6JceT4zdpzUlQxYpx+4ZK3arMTmsc6KxggQpLstLTYMirkJDRHkR/EpUuKRKe8KyXYcBGNmlncGSBC+SLu0Z+pg8rmuSwZIEJ3rMi0ODqlop5tkUorwIfkVWuZ6hr3JHykThMySI3H2qahxk5RwB4LiuolD7Av0ZCWKhbg5RXgS/EinKi9uUVNawvi5NeqRMFD5DsjvcZ/2+QiqqHbSLDqdHB2kL4AvCbFYibGKhbglRXgS/EikmerfJyj6CQ4OOiVGkJ0QZLU7Q4rQGyiq3RfQYrBFdkqSxqg/Rg8jF8tI0orwIfsVV+lp8uS2xeMchQMzzvkaq7LrPkp0yJv2BuDJbRpQXwa9IcKT7LNh2EIATeiYbLElwI1183aO61sHiHSpYV8akb9Gb2MqYbBpRXgS/IgG77lFYVs3aunoa43p1MFaYIEfGpHtk5RyhpLKGpJgIqTnkYyQ2sGVEeRH8itR5cY9FOw7i0FQzxrSESKPFCWrERO8eC7YqS+DYHu2xWiXexZdEScxLi4jyIvgVcRu5hz5RnCjmeZ8TJVWf3WLh1gMAjOslY9LXSAZcy4jyIvgVUV5aRtM05m6WicJf6JkdYqJvmoLSKlbvUWn7J4ob0+foPbdkTDaNKC+CX9Enikq5KZtkQ24Re4+UExVuk8BIPyAxLy3zy6Z8ah0afdPi6Jgoafu+JtLZ30iyMptClBfBr4jlpWVmr98PKKtLZL1qm4JviJI4rBaZs0GNycn9Uw2WJDSQ52TLiPIi+JVI8eW2iD5RnCoThV+QwonNU1Fdy7wtyo05eUCawdKEBk7lRRTqJhHlRfArrptSzKGNsaegjA25RVgtMKmfKC/+wLXKlTHZGAu3HqS8upaMhEgGZEiKtD+IihBXZkuI8iL4FYkvaJ6f6qwuI7skkRQTYbA0oYFzopBVbqM4XUYD0qQlgJ+IDJPeRi0hyovgV+qnAGqaZrA05uPrNbkATB4gVhd/IfEFTVNV4+DHDXmAuDH9SaRYXlpElBfBr+jxBbUOjepaUV7qk3O4jBW7C7BY4OwhGUaLEzLYJVW6SeZtOcCRsmo6xNkZ3b290eKEDOLKbBlRXgS/ElUve0ZWug35MmsvoCqYpsZLVV1/IZaXpvmibkyeMyQDm1TV9RsSsNsyorwIfiXcZkF/BkqtFxeapvFF1j4Azh3a0WBpQgsJjmyc4opqZwzW+cNkTPoT6W3UMqK8CH7FYrHISrcR1u8rYlt+CRFhVk4fKOmo/kRWuY3zw7o8Kmsc9OgQI1lGfkbS91tGlBfB70jfjmP5aFkOAKf2SyU+MtxgaUKL+sq0BJG7+GTFHkBZXSTLyL+INbBlRHkR/E6krHQbUFpZw+erVGzBFcd3Nlia0EPP7HBoUFUrAZIAW/cXs3TnYWxWCxeNyDRanJBDrNMtI8qL4HfkxmzI16v3UVJZQ9f20YyRjA6/Uz+IvEKKJwLw3pJsAE7pl0JaggSP+xtnPSxZ4DWJKC+C3xGTaEPeX6omiiuO74xVMjr8TrjN6sykqaiRMVleVcunK5XL6MrjuxgsTWiiN7CVBV7T+FR5eeKJJxg7dizR0dEkJia69RtN03j44YfJyMggKiqKCRMmsH79el+KKfiZSGkR4GTNniOs2VNIhM0q5nkDkaBdF1+v2UdxRQ2dk6I5UbqaG4IE7LaMT5WXqqoqLr74Ym655Ra3f/P3v/+dZ599lhdeeIFly5aRlpbGqaeeSnFxsQ8lFfyJuI1cvLt4NwBnDEqTdgAGIpOFQtM055gUS6BxuKzTDgkibwKfKi+PPPIId999N4MGDXJrf03TeO6553jggQe44IILGDhwIO+88w5lZWW8//77vhRV8CORUtEUgPyiCr5YpWq7XDNGzPNGEhUhZnqAJTsPs2ZPIfYwKxeP6GS0OCFL/TisyhqxUDeGqWJedu7cSV5eHpMnT3Z+ZrfbGT9+PL///nujv6msrKSoqKjBSzA30pxR8c6iXVTVOhjRpR0juiQZLU5IIwGSitfn7wDgwhGdaB9rN1ia0CWyfiXyEB+TTWEq5SUvTzUAS01t2AAsNTXV+d3RzJw5k4SEBOcrM1PiBsyOs85LCN+UpZU1vLtYBereNK67wdII4spU6dE/b8rHYpExaTQ2q4UIm1gDm8Nj5eXhhx/GYrE0+1q+fHmbhDq6IJKmaU0WSZoxYwaFhYXOV05OTpvOLfgeiS+Aj5fnUFheTbfkGOnWawJkTMLrC5TVZXL/VLolxxgsjSAZR80T5ukPpk2bxmWXXdbsPl27dm2VMGlpqix6Xl4e6enpzs/z8/OPscbo2O127HYxbwYSob7Krapx8MaCnQDceGI3aXhnAly9ZEIzviCv0BV/dfNJPQyWRgBloS6qqAl593pTeKy8JCcnk5zsm/S5bt26kZaWxpw5cxg2bBigMpbmzZvH008/7ZNzCv4n1GNePlmRw94j5XSIs3ORBEWaglBXqF/8dRtVtQ5GdU1iRJd2RosjIM/JlvBpzEt2djZZWVlkZ2dTW1tLVlYWWVlZlJSUOPfp27cvn3/+OaDcRXfddRdPPvkkn3/+OevWreO6664jOjqaK664wpeiCn4klGNeKmtqefGXbQDcOqFHg8A8wTicqakhOCb3Hil39ta6+9TeBksj6Eg9rObx2PLiCQ8++CDvvPOO82/dmvLrr78yYcIEADZv3kxhYaFzn3vvvZfy8nJuvfVWCgoKOP7445k9ezZxcXG+FFXwI6EcX/Dxshz2FVaQGm/n8lHSx8gshPKY1K0uo7snMaaHtKcwC6E8Jt3Bp8rLrFmzmDVrVrP7HF2Ax2Kx8PDDD/Pwww/7TjDBUEI1vqCiupYXf90OwG0Te4rVxUSEqtso53AZH+tWl1PE6mImQnVMuoupUqWF0CBUb8oPlmaTV1RBekIklx4nKf1mwlmkLsTcRi/8so0ah8aJPZM5XpqCmgrpAdc8orwIfkefKELppiyqqObfdbEut03siT1MrC5mIhSDI7fsL+aTFXqsSy+DpRGOJhTHpCeI8iL4ncgQbIL34q/bOFxaRY8OMWJ1MSGRIThRzPxuIw4NThuQKhWeTYg9PDStge4iyovgd0LNbZRzuIy3f9sFwIwz+hFuk9vObIRacOTCrQf5dfMBwqwW/nJ6X6PFERoh1J6TniJPUcHvhJov9x8/bqaqxsGY7u2Z1C/FaHGERnBNFMEfRO5waDz53UYArhrdhe4dYg2WSGgMUV6aR5QXwe9EhZDbKCvnCF+t3ofFAg9M6ddkmwvBWEKpzsunK/ewIbeIOHsYd0ySWBezoo/JyhBQqFuDKC+C36m/ojg6VT6YcDg0Hv16PQDnD+vIwI4JBkskNEWorHILy6t5+odNANx2ck+SYiIMlkhoilCMDfQEUV4Ev2OvuykdGlTXBq/y8r+Ve1iZfYToCBt/Pq2P0eIIzRAqMS//mrOFgyVVdO8Qww0ndDNaHKEZQmVMthZRXgS/E1WvOFuw3phHyqp46nu1wr1zUi/SE6IMlkhojlBoWbF+XyH/WbQLgMfOHUhEmDz+zUyoWANbi4xewe+E2yzOTsrBGrT7jx83c7i0il4psdxwoqxwzU5kXVpqZU1wjkeHQ+NvX6zDocFZg9M5oadvmusK3iMU62F5gigvgt+xWCxBHbS7OucI7y/NBuDRcwdKanQAEMzjERq6MP86pb/R4ghuIEXqmkeeqoIhBKs/t6bWwd++XIemwXlDM6TRXYAQzEHkBaUuF+Zdp/QiLSHSYIkEd7AH6TPSW4jyIhiCs5dMkN2Yb/+2izV7ComLDOP+Kf2MFkdwk8gIVxB5VW1wpaY+9u0GpwvzegnSDRiC3RrYVkR5EQzBaRINohtz18FS/jlnMwB/ndKPlDhZ4QYK9YPIK6qCR3mZuzmfz1buxWKBpy8aLC7MAMLlNgqe8ehNZCQLhhBskfQOh8Z9n62hotrBCT3bc8lI6V8USITbrITVBZEHy5gsqazhgc/XAXD92G4M79zOYIkET3BmwAXJePQ2orwIhhBs/twPl+WweMdhosJtzDx/sFTSDUCCTaH++w+b2HuknMykKO45rbfR4ggeIgG7zSPKi2AIwWQSzS0sZ2Zdr5h7TutD5/bRBksktAZ7EE0WS3ce5j+LdgPw1AWDiY4IM1giwVOcXaWDMIjcG4jyIhhCsKxyNU3jr5+vo7iyhqGZiVw3tqvRIgmtJFiCyCuqa7nv0zUAXHZcptR0CVD0Z6SmQWVN4C/yvI0oL4IhBEsjvE+W7+HnTfmE2yz8/aLBzuJ7QuARLEHkT/+wiR0HS0mJszPjTMl4C1Qi6weRB7hC7QtEeREMIRjqvOQcLuORusaLf5rch96pcQZLJLSFYLAGLtx6kLd/2wWo7KKEqHBjBRJaTbjNSrgtuILIvYkoL4IhBPpEUevQ+NPHqymtqmVU1yRuGtfdaJGENhLoCnVhWTX3fLIagKtGd2ZinxSDJRLaSmQQxQZ6G1FeBENwxhcEqIn+9QU7WLrrMDERNv55yRBxFwUBgd6c8W9friOvqIJuyTHcL+6ioCBSCtU1iSgvgiEEchrgxtwinp29BYCHzh5AZpJkFwUDgTwmv8zay1er92GzWnj2kiGSXRQkBLqF2peI8iIYQqCa6Ctrarn7oyyqah2c0i+Vi0d2MlokwUsEqok+t7Ccv32hitFNm9iTYVKMLmgIZIXa14jyIhhCZIDelP/4YTOb8oppHxPBUxcOkmJ0QUQgKtQOh8a9/1tDUUUNQzolMO3knkaLJHiRyAB3ZfoSUV4EQ3CZQwNnlfvr5nzeWLgTgKcvHExyrN1giQRvEogm+jcW7mDB1oNEhlt59tKh0rsoyIgMC47aQ75ARrpgCIFW52V/UQV/+lhlclw3tiun9E81WCLB2wRaEHlWzhH+/oNqBPq3s/rTo0OswRIJ3sb5nBTl5RhEeREMIZBWubUOjbs/yuJwaRX90uO574y+Rosk+IBAii8oqqjmjg9WUePQmDIonStGdTZaJMEHBNKY9DeivAiGEEjxBa/M287v2w8RHWHjhSuGNah8KQQPgTImNU3j/s/Wkn24jE7tonjyAom9ClYCaZHnb0R5EQwhUGpqrNh9mGfnqLToR84ZIKb5ICZQxuTHy3P4Zk0uYVYLz18+TKroBjF6wG6ZycekEYjyIhhCIJhDC8uqueODLGodGucOzeCiEZIWHcxEhtWNSRM3wdu6v5iHvlItKe45rQ/DJS06qImWInVNIsqLYAiR4eaOotc0jfs+W8PeI+V0aR/N4+cNFNN8kOOyvNQYLEnjVFTXMu39VVRUOxjXK5mbpSVF0BNjV8UGSyrNOSaNRJQXwRDqW140TTNYmmN5d/Fuvl+Xp0zzlw0jLlJM88GOa6Iwp0L96Dcb2Ly/mORYO89eMhSrtKQIemLrxmSpKC/H4FPl5YknnmDs2LFER0eTmJjo1m+uu+46LBZLg9fo0aN9KaZgANF1N6VDM19F06ycIzz6zQYA7jujL0MyE40VSPALsU7lpdpgSY7ly6y9vL8kG4B/XTqEDnFSYygUMLtCbSQ+VV6qqqq4+OKLueWWWzz63emnn05ubq7z9d133/lIQsEooutl7JjJJFpQWsVt762kulbjtAGp3HhiN6NFEvyEa5Vrroli6/5i7vt0LaDK/4/r1cFgiQR/ERtpToV6zZ4jFFUYK5NPu3c98sgjAMyaNcuj39ntdtLS0tzat7KyksrKSuffRUVFHp1LMAar1UKsPYySyhpKKmtMsZJ0ODSmf5zljHP5x8VDJM4lhHBNFOZRpksra5j67grKq2s5oWd77j61t9EiCX4k1q4WeWZSqPceKefat5aSEBXOf2883rDGtKaMeZk7dy4pKSn07t2bm266ifz8/Cb3nTlzJgkJCc5XZmamHyUV2oLTTF9hjsni5Xnb+XXzAexhVl66cjjxEucSUsTWdWKuqnFQZYKMIxU0vpbtB0pJjbfzf5cNwyZxLiFFTIS5Yl4qa2q59b2VFJRVExcZbuii03R908844wwuvvhiunTpws6dO/nb3/7GySefzIoVK7Dbj71QM2bMYPr06c6/i4qK3FJgamtrqa42lynOF4SHh2OzmbOoWmxkGBSZY6X7+7aD/HO2KrX+2LkDGZCRYLBEgr+Jsbvuk9LKGiLCIgyUBv67eDdfr95HmNXCi1cMl15aIYjZso0e/2Yjq3OOkBAVzktXDje0YKfHysvDDz/sdAc1xbJlyxg5cmSrBLr00kud2wMHDmTkyJF06dKFb7/9lgsuuOCY/e12e6NKTVNomkZeXh5HjhxplXyBSGJiImlpaaZzgcSa5MbcX1TBHR+uwqHBxSM6cclxYr0LRcJsViLDrVRUOyiprKFdjHHKy6rsAh6rFzQ+smuSYbIIxmGmbKMvVu3lv4t3A/DcpUMNcxfpeKy8TJs2jcsuu6zZfbp27dpaeY4hPT2dLl26sHXrVq8cT1dcUlJSiI6ONt2E7k00TaOsrMzpdktPTzdYooaYIbujutbBtPdXcrCkir5pcTx67kDDZBGMJ9YeTkV1paEK9eF6QeNnDEyToPEQRre8lFbV4nBohqXHb84rZsZnKmj8jpN7MrFviiFy1Mdj5SU5OZnk5GRfyNIohw4dIicnxysTb21trVNxad++vRekMz9RUVEA5Ofnk5KSYioXkhliXp75cTPLdhUQaw/j5atGOAuVCaFJrN3GwRLjrIEOh8ZdH2Wxr7CCbskx/P2iwUG9wBKaR39GApRV1zb4218UV1RzS13Q+Lheydx5ijmCxn0asJudnU1WVhbZ2dnU1taSlZVFVlYWJSUlzn369u3L559/DkBJSQn33HMPixYtYteuXcydO5ezzz6b5ORkzj///DbLo8e4REcba+7yN/q/12wxPq7sDmMi6X9cn8er83cA8I+LBtMtOcYQOQTzYHTG0b9/2cb8LQeIDLfy8lXDpThiiBMZbkU3thjhOtI0jb98uoYdB0tJT4jkuUuHmiZo3Kdq3IMPPsg777zj/HvYsGEA/Prrr0yYMAGAzZs3U1hYCIDNZmPt2rX85z//4ciRI6SnpzNx4kQ++ugj4uLivCZXqK1kzPrvNdJttPNgKfd8shqAG0/sxhmDzOVSE4zByOyOBVsP8NzPqgnoE+cNom9avN9lEMyFxaJKShRVqJISqX4+/5sLd/Ld2jzCbRZevHI47U0UNO5T5WXWrFkt1nipXxo+KiqKH3/80ZciCSYiLtIYt1FpZQ03/2c5xRU1jOjSjvvO6OvX8wvmxShXZs7hMu74YBWaBpePyuRCaQIq1KErL/5WqBfvOMTM7zcB8Ncp/U3XBNSUdV6E0EAPRiv2402paRp//t9qtuaXkBJn5+UrhxNuk9tAUBjhNqqormXquysoKKtmcKcEHjp7gN/OLZgfI9Kl9x0p57b3VlLr0DhvaAbXjOnit3O7izy1A4Czzz6bU045pdHvFi1ahMViYeXKlX6Wqu0Yscp9df4Opxn05auGkxIf6bdzC+bH3xOFpmnM+Gwt6/cV0T4mgleuGmFo7QzBfMT4+TlZUV3LLe+u4FBpFf3T45l5gTmDxkV5CQBuvPFGfvnlF3bv3n3Md2+99RZDhw5l+PDhBkjWNnS3UWmVf27KBVsP8PcflBn0wbMHMKKL1M4QGhLn57oas37fxeer9mKzWnjhiuFkJEb55bxC4OCs9eKH56SmaTz45TpW7ykkMTqcV682bwam6Srs+htN0yivNibbJSrc5pZGe9ZZZ5GSksKsWbN46KGHnJ+XlZXx0Ucf8eSTT/pSTJ/hT8tLzuEybv9AFaK7ZGQnrjq+s8/PKQQe/rS8LN5xiMe/3QjA/Wf2Y0yP0CjfIHiGP5+T7y3J5uPle7Ba4N+XDzO8EF1zhLzyUl5dS/8HjQkS3vDoaURHtPxfEBYWxjXXXMOsWbN48MEHnQrPJ598QlVVFVdeeaWvRfUJsX6KeSmvquWP/13BkbJqhnRK4NFzB5rSDCoYj3NM+niiyC0sZ9r7rpiCG07o6tPzCYFLYrRKlz9S5tuszBW7D/PI1+sBuPf0vqbvXi5uowDhhhtucNa+0Xnrrbe44IILaNfOXFHg7qIHR/pyotA0jfs/X8uGXBVT8LLEFAjNoE8UheW+myhUgK6q6mzmmALBHCRGqzYVBT5UXvKLKpj6rqrqPGVQOn88qbvPzuUtQt7yEhVuY8Ojpxl2bnfp27cvY8eO5a233mLixIls376dBQsWMHv2bB9K6FsSolwThaZpPnmAS0yB4AntnBNFlU+Or2kaD325ntU5R0wfUyCYA5flxTdjsqrGwS3vreRAcSW9U2MDpqpzyCsvFovFLdeNGbjxxhuZNm0aL774Im+//TZdunRh0qRJRovVapLqGt9V1Tgoq6p1xht4iyUSUyB4iN6MsaDUN6vc95dm89HynICIKRDMQbs65cVXCvWj36xnxe4C4iLDePXqkV5/DvsKcRsFEJdccgk2m43333+fd955h+uvvz4gNOSmiAq3YQ9TQ/BwqXdvzNzCcm6riyk4V2IKBDfx5USxYncBD3+lYgr+fJr5YwoEc+BLt9HHy3J4d3E2Fgv832VDA6pFiigvAURsbCyXXnop999/P/v27eO6664zWqQ2YbFYaF+30vWm8lJZU8stdTEF/dLjeUpiCgQ30S0vZVW1VHgxCzG/qIJb3l1Bda3GmYPSmDre/DEFgjnQXZnejsNanXOEv36xDoC7T+nNyX393XygbYjyEmDceOONFBQUcMopp9C5c+Cn++qTxWEvrnQf/mo9WTlHSIgK51XpFC14QJw9jLC6xnPesr7oMQX5dTEF/7hoiCjTgtv4whp4sKSSqe+uoKrWwSn9Upk2safXju0vAsO5JTgZM2ZMg35QgY4e93K4xDs35vtLsvlgaQ4WCzx/+TA6t5eYAsF9LBYLidERHCyppKC0mvSEtgd4P/bNhoCMKRDMQWI9y0utQ2tzV+fqWge3vbeS3MIKuneI4dlLh2A1SadoTxDLi2Ao3szuWJldwENfKTPon0/rw/jeElMgeI43V7ofL8/hv4t3B2RMgWAO9KxMTYMiL7iOZn63iSU7DxMTYeO1q0cQHxne5mMagSgvgqEkeSnmJb/YFVNwxsA0bhnfwxviCSGIM+OojcpLoMcUCOYgIszqLJ7Y1jH5+ao9vPXbTgD+eclQeqbEtVk+oxDlRTCUJC9MFHqA7v6iSnqmxPKPiyWmQGg9TstLGxTqA8V1MQU1gRtTIJiHRKc1sPWWl3V7C5nx2VoApk3syekD07wim1GI8iIYir7KPdTKmBe96NeK3QXER4bx+jUjnasUQWgNLoW6dRNFVY2DW99bEfAxBYJ5cLrXW6lQHyyp5Ob/LKei2sGEPh24+9Te3hTPEER5EQwlqY0xL+8u3s2Hy1TRr+cvHyYxBUKb0ZWXgyWVrfr9I1+vZ9muAuLsSpkO1JgCwTykxkcCkFtU4fFvq2sd3PreSvYVVtAtOYb/u2xYm4N+zYAoL4KhdIizA7C/yPOJYsmOQzzy9QZANRKb0CfFq7IJoYneQmLfkXKPf/vekt28tyTbme3Wo0Ost8UTQpBO7dSY3Fvg+Zh89OsNLN15mFh7GK9fM8IZABzoiPIiGEpmkmuiqKl1uP27vUfKufW9ldQ4NM4ZkhEQjcSEwKBTO5Ven3PYs4li2a7DPPSlqqB7z+Q+TOwryrTgHTrWKdR7PVSoP1ia7cx2e+7SwA7QPRpRXgRDSY2LJMJmpcahkVvonkm0vKqWm/+znEOlVQzIiOfpC6WCruA99FXunoIyt2sq7TtSzi3vrqDGoXHW4HRunSDZboL30K2BewvK3P7N8l2HefBLle32p1N7c0r/4Mp2E+VFMBSr1eKcLHIOt3xjaprGXz5dw/p9RbSPieC1a0ZKBV3Bq+ir3NKqWo64EbRbUV3Lzf9d7mxHEShdeYXAoWM7zywvuYXlTH13pbMdxW1BmO0myotgOHpn3Rw3VhWvzt/BV6v3EWa18NKVw50TjSB4i8hwGyl1sVh7Wogx0DSN+z5dw7q9RSTFRPDa1SMCpku9EDjoz7n84kqqapp3r1dU1/LH/67gYEklfdPigrYdhSgvguF0rlNesluwvMzdnM/TP2wC4KGz+3N89/Y+l00ITZzWwBYU6jcW7OSLrH3YrBZevGK4UxEXBG+SHBuBPcyKpimrSlNomsaMz9ayZk8hidHhvH5N8LajEOVFMBxdedl9qOmJYseBEu74YBWaBpcdl8lVo7v4SzwhBMl0Y0zO23KAmd9vBODBs/ozpoco04JvsFgszjG540Bpk/u9uXAnn6/ai81q4aUgV6ZFedE0qCo15uVmMODXX39NYmIiDocyF2ZlZWGxWPjzn//s3OePf/wjl19+uU8uka/p3kHVZtmyv7jR7w+XVnH9rGUUVdQwvHMij5w7ICjNoIJ56J2qsjI25BY1+v3mvGKmvbcShwaXjOzENWNEmRZ8S7/0eKDpMTl7fR5PfKeU6QfO7MfYnsl+k80IgtOe5AnVZfBkhjHnvn8fRLRcVO2kk06iuLiYVatWMWLECObNm0dycjLz5s1z7jN37lzuvvtuX0rrMwZ1SgBga34JJZU1DSrkVtbU8sf/Lmf3oTI6tYvitWtGYg+TAF3BtwzqqMbk2j1Hjvkuv7iCG2Yto7iyhlHdknjsvIGiTAs+Z0BGPF+v3seaRsbk2j2F3PlhFpoGl4/K5PoTuvpdPn8jlpcAICEhgaFDhzJ37lzApaisXr2a4uJi8vLy2LJlCxMmTDBUztaSEhdJZlIUmgZLdx5yfu5waNz7vzWqWmlkGG9fdxzJsXYDJRVChSGZiVgtsOtQWYMMj7KqGm56Zzl7j5TTPTmG164eIcq04BeO69oOgCU7D+NwuKz2e4+Uc8M7yyivrmVcr2QePTc0lGmxvIRHKwuIUed2kwkTJjB37lymT5/OggULePzxx/n0009ZuHAhR44cITU1lb59+/pQWN8yvncH3l2czfdr8zi5byoOh8b9n6/lyyyVWfTylSPolRo8BZYEc5MQFc6wzu1YsbuAH9blceOJ3SirquH6t5exek8h7aLDeeu640isa28hCL5mcKdE4iLDOFJWzeIdhxjbM5l9R8q54vXFHCiupE9qHC9eOZxwW2jYJER5sVjcct0YzYQJE3jzzTdZvXo1VquV/v37M378eObNm0dBQQHjx483WsQ2ce7Qjry7OJsvV+9j8oA0PlqWw08b92O1wD8vGcKJvYLbfyuYj/OGdWTF7gLeWriTHh1ieGb2ZtbtLSLOHsZb1x1HV+mjJfiRcJuVs4dk8P6SbJ77aStFFdU88vUGcgsr6JwUzdvXHxdSfbRCQ0ULAvS4l+eee47x48djsVgYP348c+fOZe7cuQGvvIzs0o4TeranqsbBTf9Zzk8b9xNhs/KvS4dy7tCORosnhCAXDu9Ip3ZR7D1SznVvL3PWcnnnxlEM69zOaPGEEOSW8T2wh1lZuuswU99d6exc/uHNo51VeEMFUV4CBD3u5d1333XGtpx00kmsXLkyoONddCwWC89fNoxT+qUQFxnG+N4d+PSWsaK4CIYRHaHirIZ1TiQhKpzzh3Xkm9tPZLgoLoJBZCZF88a1I+nRIYYOcXZuPLEbX007MeQUFxC3UUAxceJEVq5c6VRU2rVrR//+/dm3bx/9+vUzVjgv0D7WzhvXHme0GILgpFdqHJ/feoLRYgiCk3G9OvDznyYYLYbh+MzysmvXLm688Ua6detGVFQUPXr04KGHHqKqqqrZ32maxsMPP0xGRgZRUVFMmDCB9evX+0rMgOKZZ55B0zQGDBjg/CwrK4v8/PyQiC4XBEEQBPCh8rJp0yYcDgevvvoq69ev51//+hevvPIK999/f7O/+/vf/86zzz7LCy+8wLJly0hLS+PUU0+luLjxAmaCIAiCIIQWFs3dnu9e4B//+Acvv/wyO3bsaPR7TdPIyMjgrrvu4i9/+QsAlZWVpKam8vTTT/PHP/6xxXMUFRWRkJBAYWEh8fHxDb6rqKhg586ddOvWjcjIyLb/gwKEUP13C4IgCIFDc/P30fg1YLewsJCkpKQmv9+5cyd5eXlMnjzZ+Zndbmf8+PH8/vvvjf6msrKSoqKiBi9BEARBEIIXvykv27dv59///jdTp05tcp+8vDwAUlNTG3yemprq/O5oZs6cSUJCgvOVmZnpPaEFQRAEQTAdHisvDz/8MBaLpdnX8uXLG/xm3759nH766Vx88cX84Q9/aPEcRwefaprWZEDqjBkzKCwsdL5ycnJaPL4fPWWmINT+vYIgCEJw43Gq9LRp07jsssua3adr167O7X379jFx4kTGjBnDa6+91uzv0tLSAGWBSU9Pd36en59/jDVGx263Y7e71+8mPFxVHywrKyMqKnTy4svKygDXv18QBEEQAhmPlZfk5GSSk90r1b53714mTpzIiBEjePvtt7Famzf0dOvWjbS0NObMmcOwYcMAqKqqYt68eTz99NOeinoMNpuNxMRE8vPzAYiOjg7qFGNN0ygrKyM/P5/ExERsNmkgJwiCIAQ+PitSt2/fPiZMmEDnzp155plnOHDggPM73cIC0LdvX2bOnMn555+PxWLhrrvu4sknn6RXr1706tWLJ598kujoaK644gqvyKWfW1dgQoHExMQG11wQBEEQAhmfKS+zZ89m27ZtbNu2jU6dOjX4rn4MxubNmyksLHT+fe+991JeXs6tt95KQUEBxx9/PLNnzyYuzjsdhS0WC+np6aSkpFBdXe2VY5qZ8PBwsbgIgiAIQYVf67z4A0/yxAVBEARBMAemrfMiCIIgCILQVkR5EQRBEAQhoBDlRRAEQRCEgMJnAbtGoYfwSJsAQRAEQQgc9HnbnVDcoFNe9O7T0iZAEARBEAKP4uJiEhISmt0n6LKNHA4H+/btIy4uzusF6IqKisjMzCQnJ0cymXyIXGf/INfZP8h19h9yrf2Dr66zpmkUFxeTkZHRYlHboLO8WK3WY+rKeJv4+Hi5MfyAXGf/INfZP8h19h9yrf2DL65zSxYXHQnYFQRBEAQhoBDlRRAEQRCEgEKUFw+w2+089NBDbnexFlqHXGf/INfZP8h19h9yrf2DGa5z0AXsCoIgCIIQ3IjlRRAEQRCEgEKUF0EQBEEQAgpRXgRBEARBCChEeREEQRAEIaAQ5cVNXnrpJbp160ZkZCQjRoxgwYIFRosU0MycOZPjjjuOuLg4UlJSOO+889i8eXODfTRN4+GHHyYjI4OoqCgmTJjA+vXrDZI4OJg5cyYWi4W77rrL+ZlcZ++xd+9errrqKtq3b090dDRDhw5lxYoVzu/lWredmpoa/vrXv9KtWzeioqLo3r07jz76KA6Hw7mPXGfPmT9/PmeffTYZGRlYLBa++OKLBt+7c00rKyu5/fbbSU5OJiYmhnPOOYc9e/b4RmBNaJEPP/xQCw8P115//XVtw4YN2p133qnFxMRou3fvNlq0gOW0007T3n77bW3dunVaVlaWNmXKFK1z585aSUmJc5+nnnpKi4uL0z799FNt7dq12qWXXqqlp6drRUVFBkoeuCxdulTr2rWrNnjwYO3OO+90fi7X2TscPnxY69Kli3bddddpS5Ys0Xbu3Kn99NNP2rZt25z7yLVuO48//rjWvn177ZtvvtF27typffLJJ1psbKz23HPPOfeR6+w53333nfbAAw9on376qQZon3/+eYPv3bmmU6dO1Tp27KjNmTNHW7lypTZx4kRtyJAhWk1NjdflFeXFDUaNGqVNnTq1wWd9+/bV7rvvPoMkCj7y8/M1QJs3b56maZrmcDi0tLQ07amnnnLuU1FRoSUkJGivvPKKUWIGLMXFxVqvXr20OXPmaOPHj3cqL3Kdvcdf/vIX7cQTT2zye7nW3mHKlCnaDTfc0OCzCy64QLvqqqs0TZPr7A2OVl7cuaZHjhzRwsPDtQ8//NC5z969ezWr1ar98MMPXpdR3EYtUFVVxYoVK5g8eXKDzydPnszvv/9ukFTBR2FhIQBJSUkA7Ny5k7y8vAbX3W63M378eLnureC2225jypQpnHLKKQ0+l+vsPb766itGjhzJxRdfTEpKCsOGDeP11193fi/X2juceOKJ/Pzzz2zZsgWA1atXs3DhQs4880xArrMvcOearlixgurq6gb7ZGRkMHDgQJ9c96BrzOhtDh48SG1tLampqQ0+T01NJS8vzyCpggtN05g+fTonnngiAwcOBHBe28au++7du/0uYyDz4YcfsnLlSpYtW3bMd3KdvceOHTt4+eWXmT59Ovfffz9Lly7ljjvuwG63c80118i19hJ/+ctfKCwspG/fvthsNmpra3niiSe4/PLLARnTvsCda5qXl0dERATt2rU7Zh9fzJWivLiJxWJp8Lemacd8JrSOadOmsWbNGhYuXHjMd3Ld20ZOTg533nkns2fPJjIyssn95Dq3HYfDwciRI3nyyScBGDZsGOvXr+fll1/mmmuuce4n17ptfPTRR7z77ru8//77DBgwgKysLO666y4yMjK49tprnfvJdfY+rbmmvrru4jZqgeTkZGw22zGaY35+/jFaqOA5t99+O1999RW//vornTp1cn6elpYGINe9jaxYsYL8/HxGjBhBWFgYYWFhzJs3j+eff56wsDDntZTr3HbS09Pp379/g8/69etHdnY2IGPaW/z5z3/mvvvu47LLLmPQoEFcffXV3H333cycOROQ6+wL3LmmaWlpVFVVUVBQ0OQ+3kSUlxaIiIhgxIgRzJkzp8Hnc+bMYezYsQZJFfhomsa0adP47LPP+OWXX+jWrVuD77t160ZaWlqD615VVcW8efPkunvApEmTWLt2LVlZWc7XyJEjufLKK8nKyqJ79+5ynb3ECSeccEy6/5YtW+jSpQsgY9pblJWVYbU2nLpsNpszVVqus/dx55qOGDGC8PDwBvvk5uaybt0631x3r4cAByF6qvSbb76pbdiwQbvrrru0mJgYbdeuXUaLFrDccsstWkJCgjZ37lwtNzfX+SorK3Pu89RTT2kJCQnaZ599pq1du1a7/PLLJd3RC9TPNtI0uc7eYunSpVpYWJj2xBNPaFu3btXee+89LTo6Wnv33Xed+8i1bjvXXnut1rFjR2eq9GeffaYlJydr9957r3Mfuc6eU1xcrK1atUpbtWqVBmjPPvustmrVKmdJEHeu6dSpU7VOnTppP/30k7Zy5Urt5JNPllRpo3nxxRe1Ll26aBEREdrw4cOdKb1C6wAafb399tvOfRwOh/bQQw9paWlpmt1u10466SRt7dq1xgkdJBytvMh19h5ff/21NnDgQM1ut2t9+/bVXnvttQbfy7VuO0VFRdqdd96pde7cWYuMjNS6d++uPfDAA1plZaVzH7nOnvPrr782+ky+9tprNU1z75qWl5dr06ZN05KSkrSoqCjtrLPO0rKzs30ir0XTNM379hxBEARBEATfIDEvgiAIgiAEFKK8CIIgCIIQUIjyIgiCIAhCQCHKiyAIgiAIAYUoL4IgCIIgBBSivAiCIAiCEFCI8iIIgiAIQkAhyosgCIIgCAGFKC+CIHiFhx9+mKFDhxp2/r/97W/cfPPNPjt+fn4+HTp0YO/evT47hyAI7iEVdgVBaJGWWtpfe+21vPDCC1RWVtK+fXs/SeVi//799OrVizVr1tC1a1efnWf69OkUFRXxxhtv+OwcgiC0jCgvgiC0SF5ennP7o48+4sEHH2zQQTkqKoqEhAQjRAPgySefZN68efz4448+Pc/atWsZNWoU+/bto127dj49lyAITSNuI0EQWiQtLc35SkhIwGKxHPPZ0W6j6667jvPOO48nn3yS1NRUEhMTeeSRR6ipqeHPf/4zSUlJdOrUibfeeqvBufbu3cull15Ku3btaN++Peeeey67du1qVr4PP/yQc845p8FnEyZM4Pbbb+euu+6iXbt2pKam8tprr1FaWsr1119PXFwcPXr04Pvvv3f+pqCggCuvvJIOHToQFRVFr169ePvtt53fDxo0iLS0ND7//PPWX0xBENqMKC+CIPiMX375hX379jF//nyeffZZHn74Yc466yzatWvHkiVLmDp1KlOnTiUnJweAsrIyJk6cSGxsLPPnz2fhwoXExsZy+umnU1VV1eg5CgoKWLduHSNHjjzmu3feeYfk5GSWLl3K7bffzi233MLFF1/M2LFjWblyJaeddhpXX301ZWVlgIqb2bBhA99//z0bN27k5ZdfJjk5ucExR40axYIFC7x8pQRB8ARRXgRB8BlJSUk8//zz9OnThxtuuIE+ffpQVlbG/fffT69evZgxYwYRERH89ttvgLKgWK1W3njjDQYNGkS/fv14++23yc7OZu7cuY2eY/fu3WiaRkZGxjHfDRkyhL/+9a/Oc0VFRZGcnMxNN91Er169ePDBBzl06BBr1qwBIDs7m2HDhjFy5Ei6du3KKaecwtlnn93gmB07dmzREiQIgm8JM1oAQRCClwEDBmC1utZIqampDBw40Pm3zWajffv25OfnA7BixQq2bdtGXFxcg+NUVFSwffv2Rs9RXl4OQGRk5DHfDR48+JhzDRo0qIE8gPP8t9xyCxdeeCErV65k8uTJnHfeeYwdO7bBMaOiopyWGkEQjEGUF0EQfEZ4eHiDvy0WS6OfORwOABwOByNGjOC999475lgdOnRo9By6W6egoOCYfVo6v55FpZ//jDPOYPfu3Xz77bf89NNPTJo0idtuu41nnnnG+ZvDhw83KYsgCP5B3EaCIJiG4cOHs3XrVlJSUujZs2eDV1PZTD169CA+Pp4NGzZ4RYYOHTpw3XXX8e677/Lcc8/x2muvNfh+3bp1DBs2zCvnEgShdYjyIgiCabjyyitJTk7m3HPPZcGCBezcuZN58+Zx5513smfPnkZ/Y7VaOeWUU1i4cGGbz//ggw/y5Zdfsm3bNtavX88333xDv379nN+XlZWxYsUKJk+e3OZzCYLQekR5EQTBNERHRzN//nw6d+7MBRdcQL9+/bjhhhsoLy8nPj6+yd/dfPPNfPjhh073T2uJiIhgxowZDB48mJNOOgmbzcaHH37o/P7LL7+kc+fOjBs3rk3nEQShbUiROkEQAh5N0xg9ejR33XUXl19+uc/OM2rUKO666y6uuOIKn51DEISWEcuLIAgBj8Vi4bXXXqOmpsZn58jPz+eiiy7yqXIkCIJ7iOVFEARBEISAQiwvgiAIgiAEFKK8CIIgCIIQUIjyIgiCIAhCQCHKiyAIgiAIAYUoL4IgCIIgBBSivAiCIAiCEFCI8iIIgiAIQkAhyosgCIIgCAGFKC+CIAiCIAQU/w/lwRFxT6gAZwAAAABJRU5ErkJggg==\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"runner = bp.DSRunner(model, monitors=['V', 'w'], inputs=['Iext', 0.8])\n",
"runner.run(100.)\n",
"\n",
"bp.visualize.line_plot(runner.mon.ts, runner.mon.V, legend='V')\n",
"bp.visualize.line_plot(runner.mon.ts, runner.mon.w, legend='w', show=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Understanding settings"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There are several key settings needed to understand. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### ``resolutions``"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"``resolutions`` is one of the most important parameters in PhasePlane and Bifurcation analysis toolkits of BrainPy. It is very important because it has a profound impact on the efficiency of model analysis. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can set ``resolutions`` with the following ways.\n",
"\n",
"1. **None**. If we detect there is no resolution setting for any variable, the corresponding resolution for this variable will be $\\frac{\\mathrm{max\\_value} - \\mathrm{min\\_value}}{20}$.\n",
"2. **A float**. It sets a same resolution for each target variable and parameter. \n",
"3. **A dict**. Specify different resolutions for individual variable/parameter. It can be a *float*, or a vector with the format of *Array* or *numpy.ndarray*. \n",
"\n",
"```{Note}\n",
"It is highly recommended that users specify the resolution to specific parameters or variables by a dict rather than set a float value, which will be applied to all variables. Otherwise, the computation will occupy too much memory if the resolution is set very small. For example, if you want to set the resolution of variable `x` as 0.01, please use `resolutions={'x': 0.01}`.\n",
"```\n",
"\n",
"Enabling set ``resolutions`` with a tensor will give the user the maximal flexibility. Usually, the numerical analysis does not work well at inflection points. Therefore, we can increase the granularity near the inflection points. For example, if there is an inflection point at $1$, we can set the resolution with:"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"ExecuteTime": {
"start_time": "2023-04-15T20:18:43.879544Z",
"end_time": "2023-04-15T20:18:43.926377Z"
}
},
"outputs": [],
"source": [
"r1 = bm.arange(0.00, 0.95, 0.01)\n",
"r2 = bm.arange(0.95, 1.01, 0.001)\n",
"r3 = bm.arange(1.05, 1.50, 0.01)\n",
"resolution = bm.concatenate([r1, r2, r3])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Tips**: For bifurcation analysis, usually we need set a small resolution for parameters, leaving the resolutions of variables as the default. Please see in the following examples."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### ``vars`` and ``pars``"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"What can be set as variables ``*_vars`` or parameters ``*_pars`` (such as ``target_vars`` or ``target_pars``) for further analysis? Actually, the variables and parameters are recognized as the same with the programming paradigm of [ODE numerical integrators](../tutorial_intg/ode_numerical_solvers.ipynb). Simply speaking, the arguments before ``t`` will be defined as variables, while arguments after ``t`` will be parameters. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"BrainPy's analysis toolkit only support one variable in one differential equation. It cannot analyze the joint differential equation in which multiple variables are defined in the same function. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Moreover, the low-dimensional analyzers in BrainPy cannot analyze dynamical system depends on time $t$."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Bifurcation analysis"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Nonlinear dynamical systems are characterized by its parameters. When the parameter changes, the system's behavior will change qualitatively. Therefore, we take care of how the system changes with the smooth change of parameters. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Codimension 1 bifurcation analysis**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will first see the codimension 1 bifurcation analysis of the model. For example, we vary the input $I_{ext}$ between 0 and 1 and see how the system change its stability."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"ExecuteTime": {
"start_time": "2023-04-15T20:18:43.895131Z",
"end_time": "2023-04-15T20:18:50.834603Z"
},
"scrolled": false
},
"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 5000 candidates\n",
"I am trying to filter out duplicate fixed points ...\n",
"\tFound 500 fixed points.\n"
]
},
{
"data": {
"text/plain": "",
"image/png": 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\n"
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": "",
"image/png": 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AAPznWLYkU8FK89P6wOnSpYvnvxs0aKCYmBgdPHhQknTHHXdo4cKF6tatmx5++GFt2LDhnNs7ePCgxo0bp/bt28vpdMrpdOr48ePKzi79PXv37l3mfUUjNVu2bNGqVasUHR3teV1wwQWSpF27Kh7pioqK0vnn/zxvqXnz5p7v5nK5tG/fPvXt27fUZ/r27eupIysrS127dlVUVFSFdde0Nm9hojAAwH/iWkqyVbDS9tN67wsJCZExpcPU6dOny7QLDw8vXZHNJrfbLUkaMmSIvv/+e7333nv66KOPNHDgQN111116+umnK9zv2LFj9eOPP2r69Olq1aqV7Ha7evfurVOnTp2zZput/H5yu926+uqr9Y9//KPMuubNm1e4vfK+29l9cvY+jTGeZWe39WZt3sJIDQDAf7qPVqUjNd1H+2S3TZo0KTUp1uVyac+ePTXaztixY/Wf//xH06dP10svvSRJioiIkCQVFRWVar9u3TpNmDBBQ4cOVadOnWS328udNPv555+XeV8ywnG2Hj166Ntvv1Xr1q3Vrl27Uq8GDRpU+ztJUmxsrBITE/Xpp5+WWr5hwwalpKRIkjp27KitW7eqoKCgwrp9UVt1EGoAAP7T+Hzpmn9KthDJFlr67zX/9Nll3Zdeeqnmz5+vdevW6ZtvvtGYMWMUGhparW08/vjjevvtt7Vz5059++23evfddz0H/ISEBDkcDs/E2NzcXElSu3btNH/+fGVlZWnjxo0aNWqUHA5HmW2/+eabevXVV7V9+3ZNmTJFmzZt0vjx48ut46677tKRI0d04403atOmTdq9e7dWrFihW265pUyoqo6HHnpI//jHP/T6669r27ZtmjhxojIyMnTPPfdIkn7/+98rJCREt956qzIzM/X++++XGaXyVW1VRagBAPhX91HS+M1S3wlSp2uL/47fXLzcRyZNmqR+/frpqquu0tChQzV8+PBS80uqIiIiQpMmTVKXLl3Ur18/hYaGauHChZKksLAwzZgxQ7Nnz1ZiYqKGDRsmSXr11Vd19OhRde/eXaNHj9aECROUkJBQZttTp07VwoUL1aVLF82bN08LFixQx44dy60jMTFR69evV1FRkQYPHqwLL7xQ99xzj5xOp0JCan5YnzBhgh544AE98MAD6ty5sz744AMtW7ZMycnJkqTo6Gi98847yszMVPfu3fXoo4+WOc3kq9qqymaqcpLMIlwul5xOp3JzcxUbGxvocgAgqJw8eVJ79uxRmzZtFBkZGehyYDGV/b6qevxmpAYAAFgCoQYAAFgCoQYAAFgCoQYAAFgCoQYAAFgCoQYAAFgCoQYAAFgCoQYAAFgCoQYAAFgCoQYAgACy2WxaunRpheu/++472Ww2ZWRk1Go/S5cuVbt27RQaGqp77723Vtuqqwg1AADUkreChy/98Y9/1O9+9zvt3btXTzzxRKDL8YmwQBcAAKh/Th8qUP7m/TpztFBhDe2K6tlM4fFln14N7zh+/LgOHjyowYMHKzExMdDl+AwjNQAAvzqxeb8OPLNZeWt/UMFXPypv7Q868Mxmndh8wGf7bN26taZPn15qWbdu3ZSWluZ5b7PZ9O9//1vXXnutoqKilJycrGXLlnnWHz16VKNGjVKTJk3kcDiUnJysOXPmSJLatGkjSerevbtsNpv69+8vSfriiy80aNAgxcfHy+l0KjU1VV9++WWZ+nJycjRkyBA5HA61adNGb775ZqXfJzMzU0OHDlV0dLSaNm2q0aNH69ChQ+W2Xb16tWJiYiRJl156qWw2m1avXi1Jeuutt9SpUyfZ7Xa1bt1azzzzTKnPFhYW6uGHH1ZSUpLsdruSk5P1yiuvSJLmzp2ruLi4Uu2XLl0qm83meb9161YNGDBAMTExio2N1UUXXaTNmzdX+t1qg1ADAPCb04cKdPStHZKR5Fapv0ff2q4zhwoCWt/UqVM1cuRIffXVVxo6dKhGjRqlI0eOSJImT56szMxMLV++XFlZWZo1a5bi4+MlSZs2bZIkffTRR8rJydHixYslSXl5eRozZozWrVunzz//XMnJyRo6dKjy8vJK7Xfy5Mm67rrrtHXrVt1000268cYblZWVVW6NOTk5Sk1NVbdu3bR582Z98MEHOnDggEaOHFlu+z59+mjbtm2SikNMTk6O+vTpoy1btmjkyJG64YYb9PXXXystLU2TJ0/W3LlzPZ/9wx/+oIULF2rGjBnKysrSv/71L0VHR1e5P0eNGqUWLVroiy++0JYtWzRx4kSFh4dX+fPVxeknAIDf5G/eL9lUHGbOZisexXFe0cbfZXmMHTtWN954oyTpb3/7m2bOnKlNmzbpiiuuUHZ2trp3766ePXtKKh79KdGkSRNJUuPGjdWsWTPP8ksvvbTU9mfPnq2GDRtqzZo1uuqqqzzLR4wYodtuu02S9MQTT2jlypWaOXOmXnzxxTI1zpo1Sz169NDf/vY3z7JXX31VSUlJ2r59u9q3b1+qfUREhBISEiRJjRo18tT37LPPauDAgZo8ebIkqX379srMzNRTTz2lsWPHavv27XrjjTe0cuVKXXbZZZKktm3bVrUrJUnZ2dl66KGHdMEFF0iSkpOTq/X56mKkBgDgN2eOFpYfaCTJ/LQ+gLp06eL57wYNGigmJkYHDx6UJN1xxx1auHChunXrpocfflgbNmw45/YOHjyocePGqX379nI6nXI6nTp+/Liys7NLtevdu3eZ9xWN1GzZskWrVq1SdHS051USGnbt2lXl75qVlaW+ffuWWta3b1/t2LFDRUVFysjIUGhoqFJTU6u8zbPdf//9uu2223TZZZfp73//e7XqqwlCDQDAb8Ia2otHaspj+2m9D4SEhMiY0mnq9OnTZdqdfWrEZrPJ7XZLkoYMGaLvv/9e9957r/bt26eBAwfqwQcfrHS/Y8eO1ZYtWzR9+nRt2LBBGRkZaty4sU6dOnXOmn85N+WX3G63rr76amVkZJR67dixQ/369TvndksYY8rs45d95HBUPnG7Kn2alpamb7/9VldeeaU++eQTdezYUUuWLKlyjdVFqAEA+E1Uz2aVjtQ06NmsgpW106RJE+Xk5Hjeu1wu7dmzp0bbGTt2rP7zn/9o+vTpeumllyQVn+KRpKKiolLt161bpwkTJmjo0KGeCbnlTej9/PPPy7wvGX05W48ePfTtt9+qdevWateuXalXgwYNqvxdOnbsqE8//bTUsg0bNqh9+/YKDQ1V586d5Xa7tWbNmnI/36RJE+Xl5enEiROeZeVd0t6+fXvdd999WrFihX772996Jlf7QtCEmmnTpulXv/qVYmJilJCQoOHDh3smPgEAgkN4vEMNr2tfPFoTolJ/G17XXmE+uqz70ksv1fz587Vu3Tp98803GjNmjEJDQ6u1jccff1xvv/22du7cqW+//VbvvvuuUlJSJEkJCQlyOByeSbu5ubmSpHbt2mn+/PnKysrSxo0bNWrUqHJHQN588029+uqr2r59u6ZMmaJNmzZp/Pjx5dZx11136ciRI7rxxhu1adMm7d69WytWrNAtt9xSJlRV5oEHHtDHH3+sJ554Qtu3b9e8efP0z3/+0zP61Lp1a40ZM0a33HKLli5dqj179mj16tV64403JEm9evVSVFSU/vSnP2nnzp167bXXSk0yLigo0Pjx47V69Wp9//33Wr9+vb744gtPn/mECRKDBw82c+bMMd98843JyMgwV155pWnZsqU5fvx4lbeRm5trJJnc3FwfVgoA1lRQUGAyMzNNQUFBrbd1+sd8c2z5bnPotSxzbPluc/rHfC9UWLHc3FwzcuRIExsba5KSkszcuXNN165dzZQpUzxtJJklS5aU+pzT6TRz5swxxhjzxBNPmJSUFONwOEyjRo3MsGHDzO7duz1tX375ZZOUlGRCQkJMamqqMcaYL7/80vTs2dPY7XaTnJxs3nzzTdOqVSvz3HPPldrvCy+8YAYNGmTsdrtp1aqV+e9//+tZv2fPHiPJpKene5Zt377dXHvttSYuLs44HA5zwQUXmHvvvde43e5yv//Ro0eNJLNq1apSyxctWmQ6duxowsPDTcuWLc1TTz1Van1BQYG57777TPPmzU1ERIRp166defXVVz3rlyxZYtq1a2ciIyPNVVddZV566SVTEi0KCwvNDTfcYJKSkkxERIRJTEw048ePr/D3U9nvq6rHb5sxpqKBwDrtxx9/VEJCgtasWVPlc4gul0tOp1O5ubmKjY31cYUAYC0nT57Unj171KZNG0VGRga6HFhMZb+vqh6/g/aS7pKhvUaNGlXYprCwUIWFP8+kd7lcPq8LAAAERtDMqfklY4zuv/9+XXLJJbrwwgsrbDdt2jTPJXROp1NJSUl+rBIAAPhTUIaa8ePH66uvvtJ///vfSttNmjRJubm5ntfevXv9VCEAAPC3oDv9dPfdd2vZsmVau3atWrRoUWlbu90uu9039zwAAAB1S9CEGmOM7r77bi1ZskSrV6/2PDwMAOBfQXp9Ceo4b/yugibU3HXXXXrttdf09ttvKyYmRvv375ckOZ3Oc971EABQeyV3283Pz+ffXXhdfn6+pLJ3da6OoLmku6LbRc+ZM0djx46t0ja4pBsAaicnJ0fHjh1TQkKCoqKiKvy3GagqY4zy8/N18OBBxcXFqXnz5mXaWO6S7iDJXgBgaSVPeC55yCPgLXFxcaWecF4TQRNqAACBZ7PZ1Lx5cyUkJJT7QEigJsLDw6v92IryEGoAANUWGhrqlYMQ4E1BeZ8aAACAsxFqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJYQFugAAAFAPHN4lbZghff9Z8ftWfaQ+d0uNz/faLgg1AADAN0qCTNa7Uv6h0usObZO2zJWGvSB1H+WV3RFqAACA91QWZMow0rLxUstfe2XEhjk1AADAOz58TJrZo3gE5pyB5ifGSOnzvbJ7RmoAAEDNlYzMfPWGdDq/Bhsw0rFsr5RCqAEAANV3eJe07G7p+/W13JBNimvplZIINQAAoOq8FmZ+YrNJ3Ud7ZVOEGgAAcG7eDjOSJJt0zT+9dlk3oQYAAJSvWlcyVVOrS6RrZnCfGgAA4EM+GZWRFBUvpVzt9ZvulSDUAACAYr4IM+FRUpfrfRZkfolQAwBAfXd4l/TWbdK+L7273d53S4P/4t1tVoJQAwBAfeWLkRkfn2KqDKEGAID6xhdhxgcTf6uLUAMAQH1h0TBTglADAIDVWTzMlCDUAABgVd4OMwGcL1MVhBoAAKzG22GmDo7KlIdQAwCAVXg7zDROln7/ep0PMyUINQAAWMG6Z6WPp3pnW7EtpGH/lM4f4J3t+QmhBgCAYLd0vJQxv/bbCZLTTBUh1AAAEKwO75LmD5eOZdduO0EeZkoQagAACDbemjtjkTBTIiTQBVTH2rVrdfXVVysxMVE2m01Lly4NdEkAAPjXumelmT1qF2haXSLd/aV083uWCTRSkI3UnDhxQl27dtXNN9+s6667LtDlAADgP9546KTFRmbOFlShZsiQIRoyZEiV2xcWFqqwsNDz3uVy+aIsAAB8xxunmiweZkoEVaiprmnTpmnqVC9d3gYAgD95I8w07SSNnG/5MFMiqObUVNekSZOUm5vree3duzfQJQEAcG7emDfTbqB0x4Z6E2gki4/U2O122e32QJcBAEDVeGPejCT1vlsa/Bfv1BRELB1qAAAIClyi7RWEGgAAAunDx6TPZtZuG+ddJP325XobZkoEVag5fvy4du7c6Xm/Z88eZWRkqFGjRmrZsmUAKwMAoAbmXyvt+qR22xiYJv3mPq+UE+yCKtRs3rxZAwb8/HCt+++/X5I0ZswYzZ07N0BVAQBQTYd3Sa/fJB3MrPk26vmppvIEVajp37+/jDGBLgMAgJrhnjM+FVShBgCAoLXuWenjWtw7jXkz50SoAQDAl7xxmTbzZqqEUAMAgC9wqsnvCDUAAHiTN8JMXCtp9BLCTDURagAA8JbazpuRpO6jpWH/9E499QyhBgCA2vLW4w2YO1MrhBoAAGqKxxvUKYQaAABqgscb1DmEGgAAquPwLmn+cOlYdu22w6kmryPUAABQFZxqqvMINQAAVIYwEzQINQAAlMdbYYZ5M35DqAEA4Je8FWYk5s34GaEGAADJu2GGU00BQagBANRv3gwzPN4goAg1AID6yZthRpJ63y0N/ot3toUaIdQAAOofb9w4rwSnmuoMQg0AoH44vEvaMEP66g3pdH7tt0eYqXMINQAAa/P2aSbCTJ1FqAEAWE/JqEzWu1L+Ie9skzBT5xFqAADW4e1RGYkwE0QINQCA4OaLURmJMBOECDUAgODki1EZiTATxAg1AIDgsmuV9PZdkuv/vLtdbpwX9Ag1AIC6r+QU09eLpFPHvb99bpxnCYQaAEDd5atTTJIUFS+lXC31uZvRGYsg1AAA6hZfTfwtwZwZyyLUAAACz9dBhlGZeoFQAwAIDF8HGYlRmXqGUAMA8B9/BBlGZeotQg0AwPd8OeG3BKMy9R6hBgDgfSUjMrvXSHn7pTMFvttX4kXSdS8TZkCoAQB4iT9OLZXgFBPKQagBANSMP0djSnCKCZUg1AAAqs6fozElGJVBFRFqAACVKwky374tnTzqn30SZFADhBoAQGmBOK0kEWRQa4QaAKjvAhViSjBPBl5CqAGA+ibQIUZiVAY+QagBgPpg1yppxWTp0Dap6JT/9x/mkGKaSW37E2TgM4QaALCiX47G5P4guU/7vwZGY+BnhBoAsIK6cEqJ0RgEGKEGAILNLwNM/hHpzEmpqDAwtURES51HEGJQJxBqAKCuqwujML8UGiE16SANekI6f0BgawF+gVADAHVNXQsxnFZCkCDUAEAg1aVTSSUIMQhShBoA8Je6GGAkQgwso0ahZtSoUUpNTVX//v3Vvn17b9dUqRdffFFPPfWUcnJy1KlTJ02fPl2/+c1v/FoDAFTF6UMFyl+5SWd2fK2w0zsVZftQ4SH7Al1WMUdDqeNwQgwspUahJjo6Ws8++6zGjRunZs2aKTU11RNyLrjgAm/X6PH666/r3nvv1Ysvvqi+fftq9uzZGjJkiDIzM9WyZUuf7RcAzuX0oQIdX7tXJ3ceU1H+Gem0WypyS7JJ6izpQuXpWjUMe14Nwj72f4GMxqAesBljTE0/vH//fq1evVqrV6/WmjVrtH37diUkJCgnJ8ebNXr06tVLPXr00KxZszzLUlJSNHz4cE2bNu2cn3e5XHI6ncrNzVVsbKxPagRgfeUHmLP/KTUqDjRnLzNqFvFHhYX45t9JD0IMLKSqx+9azamJiYlRw4YN1bBhQ8XFxSksLEzNmjWrzSYrdOrUKW3ZskUTJ04stfzyyy/Xhg0byv1MYWGhCgt/Pl/tcrl8UhsAayoTXtymOLyUCTDlOTvQlCxz60TR5XKGzPNeoaF2KTxScjQixKBeq1GoeeSRR7RmzRpt3bpVF154ofr166dJkyapX79+iouL83KJxQ4dOqSioiI1bdq01PKmTZtq//795X5m2rRpmjp1qk/qAWA9pUKM65R0psYD2ZWw6YxJqP1meAQBUEaNQs1TTz2lJk2aaMqUKRo2bJhSUlK8XVeFbLbS//djjCmzrMSkSZN0//33e967XC4lJSX5tD4AdV/tRmBqy6Yw28HqfYSRGKBKahRq0tPTtWbNGq1evVrPPPOMQkNDPROF+/fv75OQEx8fr9DQ0DKjMgcPHiwzelPCbrfLbrd7vRYAwSGw4aU8xfttELqi4iYEGKDGahRqunbtqq5du2rChAmSpK1bt2r69OmaMGGC3G63ioqKvFqkJEVEROiiiy7SypUrde2113qWr1y5UsOGDfP6/gAEl7KTd4sk7/9TVAvFgSY2dO7Pk4QJMIBX1XiicHp6uufKp3Xr1snlcqlbt24aMMB3zwG5//77NXr0aPXs2VO9e/fWSy+9pOzsbI0bN85n+wRQt9S90Zdz+bmu2Ij/KDZuo5R8MwEG8IEahZqGDRvq+PHj6tq1q/r376/bb79d/fr18/ll0tdff70OHz6sP//5z8rJydGFF16o999/X61atfLpfgH4X/CFl7OE2WQLC1FIVLgi28Uppl8LhcX3C3RVgKXV6D417777rl9CjLdxnxqg7ikTXorcxVcdBUl2kVRBgHEEuirAMnx6n5qrrrqqxoUBqJ+CfuSlBAEGqLN4oCUAryk3uEjBGV4kAgwQZAg1AKrNMqMuJcJsUohNthAbAQYIYoQaAOWy3KiLVPyUgvAQwgtgUYQaoB4rFVyOn5bOuH+eoBukucUjVJJssoXaFNbYIefQNopMbhjoqgD4EKEGsDhLjrj8EqeOAPyEUANYQMGOo3K9v0enDxVIbrcUYpNsNusEF4nwAuCcCDVAEKhwtEWSTrvLnioqMgra80eh8pRuiwhVZPuGcl7emvAC4JwINUAdUGlosdJoyy8x8gLAywg1gJ8cO5Cv9JXZ+uF/R3TyxGkZd/Hy80KkLhG24je24r+2ANXoE4QXAH5CqAG8pKLQIknuIreKzpQdbWkQInWJCZPNFuQx5qfgIonwAiBgCDVAFZUXWozbqMjtlimq2TZbRoR4t0hfIrgAqOMINcBPajLSUltRIXVshMb2819beIhCGkQQXAAEDUIN6o2zQ4v7zE+jLCXhJQBzcfPdRn6fQcOICwCLItTAEiobZZF8N9JSW9mn3Eq2h8gY4915NaGSQotPbRFcANQXhBrUeZXOZQngKIs3nHBL6QVF6u4IlTFnfQmbreIxnF+MtkgEFwCQCDUIsGAdYfGmvaeMjpw5o/PtIYoPC1GETQoLtSk0/OdJxIQWADg3Qg18pqLAUtsrhqwiNMymkNDiU08FbqNMt01OZ6T6XtdOSSmNAl0eAAQdQg2q7VyjK1L9GGE5l5LQUsIWYlNkdLhaXNBQ3Qe1VFxCVACrAwDrIdSglMoCi3EbnTlTznOG6qnQsOK75BYVuWWMFBJiU1RshFp2akxoAYAAINTUE4yuVB8jLQAQXAg1QY6wUnMhocWDTsYUP3IpLDxUjpgIQgsABClCTR1WEli+//aQCvJOyV0k2UKk0NAQ2Ww2wkolzh5lkRhpAQCrI9T4WVVGVqSKR1dMkXSmqIIP1RNnz2VhlAUAIBFqvOJck2utcJM4f2GEBQBQU4SaSmRnHtaGxTuVe7BAbrdbISEhZW5lzymgqvvlfVm4YggA4G2Emgosn/21dqf/WGqZW/X7tE9FyhtdkRhhAQD4F6GmHJ8u2lEm0NRXvwwsJSMskk3hEaFq2amRel3TlrACAKgTCDVnOXYgX1s/2hvoMvyC+SsAACsh1Jwla0NOoEuolYpOBUkEFgCAtRFqzpJ3uCDQJVTKFvrzfWokggoAACUINWeJaezw6/4YWQEAwDsINWdJ6dNc6Su+l6nFVdrlTa7lJnEAAPgWoeYscU2jNGB0ilbNzyoTbELCpNDQ0DKfYUQFAIDAI9SUI6VPczVv51TW+hzlHS5QTGOHUvo2J6wAAFCHEWoqEJcQpd7Xnh/oMgAAQBWVP0MVAAAgyBBqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJRBqAACAJQRNqPnrX/+qPn36KCoqSnFxcYEuBwAA1DFBE2pOnTqlESNG6I477gh0KQAAoA4KC3QBVTV16lRJ0ty5cwNbCAAAqJOCJtTURGFhoQoLCz3vXS5XAKsBAAC+FDSnn2pi2rRpcjqdnldSUlKgSwIAAD4S0FCTlpYmm81W6Wvz5s013v6kSZOUm5vree3du9eL1QMAgLokoKefxo8frxtuuKHSNq1bt67x9u12u+x2e40/DwAAgkdAQ018fLzi4+MDWQIAALCIoJkonJ2drSNHjig7O1tFRUXKyMiQJLVr107R0dGBLQ4AAARc0ISaxx9/XPPmzfO87969uyRp1apV6t+/f4CqAgAAdYXNGGMCXYS/uFwuOZ1O5ebmKjY2NtDlAACAKqjq8dvSl3QDAID6g1ADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsIShCzXfffadbb71Vbdq0kcPh0Pnnn68pU6bo1KlTgS4NAADUEWGBLqAq/ve//8ntdmv27Nlq166dvvnmG91+++06ceKEnn766UCXBwAA6gCbMcYEuoiaeOqppzRr1izt3r27wjaFhYUqLCz0vHe5XEpKSlJubq5iY2P9USYAAKgll8slp9N5zuN3UJx+Kk9ubq4aNWpUaZtp06bJ6XR6XklJSX6qDgAA+FtQhppdu3Zp5syZGjduXKXtJk2apNzcXM9r7969fqoQAAD4W0BDTVpammw2W6WvzZs3l/rMvn37dMUVV2jEiBG67bbbKt2+3W5XbGxsqRcAALCmgM6pOXTokA4dOlRpm9atWysyMlJScaAZMGCAevXqpblz5yokpHqZrKrn5AAAQN1R1eN3QK9+io+PV3x8fJXa/t///Z8GDBigiy66SHPmzKl2oAEAANYWFJd079u3T/3791fLli319NNP68cff/Ssa9asWQArAwAAdUVQhJoVK1Zo586d2rlzp1q0aFFqXZBekQ4AALwsKM7hjB07VsaYcl8AAABSkIQaAACAcyHUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASyDUAAAASwiaUHPNNdeoZcuWioyMVPPmzTV69Gjt27cv0GUBAIA6ImhCzYABA/TGG29o27Zteuutt7Rr1y797ne/C3RZAACgjrAZY0ygi6iJZcuWafjw4SosLFR4eHiVPuNyueR0OpWbm6vY2FgfVwgAALyhqsfvMD/W5DVHjhzRggUL1KdPn0oDTWFhoQoLCz3vXS6XP8oDAAABEDSnnyTpkUceUYMGDdS4cWNlZ2fr7bffrrT9tGnT5HQ6Pa+kpCQ/VQoAAPwtoKEmLS1NNput0tfmzZs97R966CGlp6drxYoVCg0N1R/+8AdVdvZs0qRJys3N9bz27t3rj68FAAACIKBzag4dOqRDhw5V2qZ169aKjIwss/yHH35QUlKSNmzYoN69e1dpf8ypAQAg+ATFnJr4+HjFx8fX6LMlWeyXc2YAAED9FRQThTdt2qRNmzbpkksuUcOGDbV79249/vjjOv/886s8SgMAAKwtKCYKOxwOLV68WAMHDlSHDh10yy236MILL9SaNWtkt9sDXR4AAKgDgmKkpnPnzvrkk08CXQYAAKjDgmKkBgAA4FyCYqTGW0omF3MTPgAAgkfJcftcF2zXq1CTl5cnSdyEDwCAIJSXlyen01nh+qB99lNNuN1u7du3TzExMbLZbOds73K5lJSUpL1793JfGz+i3wOHvg8M+j0w6PfAqW7fG2OUl5enxMREhYRUPHOmXo3UhISEqEWLFtX+XGxsLD/4AKDfA4e+Dwz6PTDo98CpTt9XNkJTgonCAADAEgg1AADAEgg1lbDb7ZoyZQo3+PMz+j1w6PvAoN8Dg34PHF/1fb2aKAwAAKyLkRoAAGAJhBoAAGAJhBoAAGAJhBoAAGAJ9TrUvPjii2rTpo0iIyN10UUXad26dZW2X7NmjS666CJFRkaqbdu2+te//uWnSq2nOn2/ePFiDRo0SE2aNFFsbKx69+6tDz/80I/VWkd1f/Ml1q9fr7CwMHXr1s23BVpYdfu+sLBQjz76qFq1aiW73a7zzz9fr776qp+qtY7q9vuCBQvUtWtXRUVFqXnz5rr55pt1+PBhP1VrDWvXrtXVV1+txMRE2Ww2LV269Jyf8drx1dRTCxcuNOHh4ebll182mZmZ5p577jENGjQw33//fbntd+/ebaKiosw999xjMjMzzcsvv2zCw8PNokWL/Fx58Ktu399zzz3mH//4h9m0aZPZvn27mTRpkgkPDzdffvmlnysPbtXt9xLHjh0zbdu2NZdffrnp2rWrf4q1mJr0/TXXXGN69eplVq5cafbs2WM2btxo1q9f78eqg191+33dunUmJCTEPP/882b37t1m3bp1plOnTmb48OF+rjy4vf/+++bRRx81b731lpFklixZUml7bx5f622oufjii824ceNKLbvgggvMxIkTy23/8MMPmwsuuKDUsj/+8Y/m17/+tc9qtKrq9n15OnbsaKZOnert0iytpv1+/fXXm8cee8xMmTKFUFND1e375cuXG6fTaQ4fPuyP8iyruv3+1FNPmbZt25ZaNmPGDNOiRQuf1Wh1VQk13jy+1svTT6dOndKWLVt0+eWXl1p++eWXa8OGDeV+5rPPPivTfvDgwdq8ebNOnz7ts1qtpiZ9fza32628vDw1atTIFyVaUk37fc6cOdq1a5emTJni6xItqyZ9v2zZMvXs2VNPPvmkzjvvPLVv314PPvigCgoK/FGyJdSk3/v06aMffvhB77//vowxOnDggBYtWqQrr7zSHyXXW948vtarB1qWOHTokIqKitS0adNSy5s2bar9+/eX+5n9+/eX2/7MmTM6dOiQmjdv7rN6raQmfX+2Z555RidOnNDIkSN9UaIl1aTfd+zYoYkTJ2rdunUKC6uX/1R4RU36fvfu3fr0008VGRmpJUuW6NChQ7rzzjt15MgR5tVUUU36vU+fPlqwYIGuv/56nTx5UmfOnNE111yjmTNn+qPkesubx9d6OVJTwmazlXpvjCmz7Fzty1uOc6tu35f473//q7S0NL3++utKSEjwVXmWVdV+Lyoq0u9//3tNnTpV7du391d5llad37zb7ZbNZtOCBQt08cUXa+jQoXr22Wc1d+5cRmuqqTr9npmZqQkTJujxxx/Xli1b9MEHH2jPnj0aN26cP0qt17x1fK2X//sVHx+v0NDQMmn94MGDZdJiiWbNmpXbPiwsTI0bN/ZZrVZTk74v8frrr+vWW2/Vm2++qcsuu8yXZVpOdfs9Ly9PmzdvVnp6usaPHy+p+EBrjFFYWJhWrFihSy+91C+1B7ua/OabN2+u8847T06n07MsJSVFxhj98MMPSk5O9mnNVlCTfp82bZr69u2rhx56SJLUpUsXNWjQQL/5zW/0l7/8hRF5H/Hm8bVejtRERETooosu0sqVK0stX7lypfr06VPuZ3r37l2m/YoVK9SzZ0+Fh4f7rFarqUnfS8UjNGPHjtVrr73G+e0aqG6/x8bG6uuvv1ZGRobnNW7cOHXo0EEZGRnq1auXv0oPejX5zfft21f79u3T8ePHPcu2b9+ukJAQtWjRwqf1WkVN+j0/P18hIaUPi6GhoZJ+HjmA93n1+FrtqcUWUXKp3yuvvGIyMzPNvffeaxo0aGC+++47Y4wxEydONKNHj/a0L7nk7L777jOZmZnmlVde4ZLuGqpu37/22msmLCzMvPDCCyYnJ8fzOnbsWKC+QlCqbr+fjaufaq66fZ+Xl2datGhhfve735lvv/3WrFmzxiQnJ5vbbrstUF8hKFW33+fMmWPCwsLMiy++aHbt2mU+/fRT07NnT3PxxRcH6isEpby8PJOenm7S09ONJPPss8+a9PR0z6X0vjy+1ttQY4wxL7zwgmnVqpWJiIgwPXr0MGvWrPGsGzNmjElNTS3VfvXq1aZ79+4mIiLCtG7d2syaNcvPFVtHdfo+NTXVSCrzGjNmjP8LD3LV/c3/EqGmdqrb91lZWeayyy4zDofDtGjRwtx///0mPz/fz1UHv+r2+4wZM0zHjh2Nw+EwzZs3N6NGjTI//PCDn6sObqtWrar032xfHl9txjCmBgAAgl+9nFMDAACsh1ADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADAAAsgVADoM4aO3ashg8f7pVtrV69WjabTceOHfPK9gDUPYQaAABgCYQaAEHBGKMnn3xSbdu2lcPhUNeuXbVo0SLPussuu0xXXHGFSh5nd+zYMbVs2VKPPvqovvvuOw0YMECS1LBhQ9lsNo0dOzZQXwWAj4QFugAAqIrHHntMixcv1qxZs5ScnKy1a9fqpptuUpMmTZSamqp58+apc+fOmjFjhu655x6NGzdOTZs2VVpamkJCQvTWW2/puuuu07Zt2xQbGyuHwxHorwTAywg1AOq8EydO6Nlnn9Unn3yi3r17S5Latm2rTz/9VLNnz1ZqaqrOO+88zZ49W6NHj9aBAwf0zjvvKD09XeHh4ZKkRo0aSZISEhIUFxcXqK8CwIcINQDqvMzMTJ08eVKDBg0qtfzUqVPq3r275/2IESO0ZMkSTZs2TbNmzVL79u39XSqAACLUAKjz3G63JOm9997TeeedV2qd3W73/Hd+fr62bNmi0NBQ7dixw681Agg8Qg2AOq9jx46y2+3Kzs5Wampqhe0eeOABhYSEaPny5Ro6dKiuvPJKXXrppZKkiIgISVJRUZFfagbgf4QaAHVeTEyMHnzwQd13331yu9265JJL5HK5tGHDBkVHR2vMmDF677339Oqrr+qzzz5Tjx49NHHiRI0ZM0ZfffWVGjZsqFatWslms+ndd9/V0KFD5XA4FB0dHeivBsCLuKQbQFB44okn9Pjjj2vatGlKSUnR4MGD9c4776hNmzb68ccfdeuttyotLU09evSQJE2ZMkWJiYkaN26cJOm8887T1KlTNXHiRDVt2lTjx48P5NcB4AM2U3JTBwAAgCDGSA0AALAEQg0AALAEQg0AALAEQg0AALAEQg0AALAEQg0AALAEQg0AALAEQg0AALAEQg0AALAEQg0AALAEQg0AALCE/w+OI6MgAT3WNAAAAABJRU5ErkJggg==\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"analyzer = bp.analysis.Bifurcation2D(\n",
" model,\n",
" target_vars={'V': [-3, 3], 'w': [-3., 3.]},\n",
" target_pars={'Iext': [0., 1.]},\n",
" resolutions={'Iext': 0.002},\n",
")\n",
"\n",
"# \"num_rank\" specifies the number of initial poinits for\n",
"# fixed point optimization under a set of parameters\n",
"analyzer.plot_bifurcation(num_rank=10)\n",
"\n",
"# show figure\n",
"analyzer.show_figure()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Codimension 2 bifurcation analysis**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We simulaneously change $I_{ext}$ and parameter $a$."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"ExecuteTime": {
"start_time": "2023-04-15T20:18:50.834603Z",
"end_time": "2023-04-15T20:19:40.359493Z"
}
},
"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 50000 candidates\n",
"I am trying to filter out duplicate fixed points ...\n",
"\tFound 4997 fixed points.\n"
]
},
{
"data": {
"text/plain": "",
"image/png": 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\n"
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": "",
"image/png": 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\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"analyzer = bp.analysis.Bifurcation2D(\n",
" model,\n",
" target_vars=dict(V=[-3, 3], w=[-3., 3.]),\n",
" target_pars=dict(a=[0.5, 1.], Iext=[0., 1.]),\n",
" resolutions={'a': 0.01, 'Iext': 0.01},\n",
")\n",
"analyzer.plot_bifurcation(num_rank=10, tol_aux=1e-9)\n",
"analyzer.show_figure()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Fast-slow system bifurcation"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"BrainPy also provides a tool for fast-slow system bifurcation analysis by using [brainpy.analysis.FastSlow1D](../apis/auto/analysis/generated/brainpy.analysis.lowdim.FastSlow1D.rst) and [brainpy.analysis.FastSlow2D](../apis/auto/analysis/generated/brainpy.analysis.lowdim.FastSlow2D.rst). This method is proposed by John Rinzel [1, 2, 3]. (J Rinzel, 1985, 1986, 1987) proposed that in a fast-slow dynamical system, we can treat the slow variables as the bifurcation parameters, and then study how the different value of slow variables affect the bifurcation of the fast sub-system.\n",
"\n",
"\n",
"Fast-slow bifurcation methods are very useful in the bursting neuron analysis. I will illustrate this by using the Hindmarsh-Rose model. The Hindmarshâ€“Rose model of neuronal activity is aimed to study the spiking-bursting behavior of the membrane potential observed in experiments made with a single neuron. Its dynamics are governed by:\n",
"\n",
"$$\n",
"\\begin{aligned}\n",
"\\frac{d V}{d t} &= y - a V^3 + b V^2 - z + I\\\\\n",
"\\frac{d y}{d t} &= c - d V^2 - y\\\\\n",
"\\frac{d z}{d t} &= r (s (V - V_{rest}) - z)\n",
"\\end{aligned}\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First, let's define the Hindmarshâ€“Rose model with BrainPy."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"ExecuteTime": {
"start_time": "2023-04-15T20:19:40.359493Z",
"end_time": "2023-04-15T20:19:40.377403Z"
}
},
"outputs": [],
"source": [
"a = 1.\n",
"b = 3.\n",
"c = 1.\n",
"d = 5.\n",
"s = 4.\n",
"x_r = -1.6\n",
"r = 0.001\n",
"Vth = 1.9\n",
"\n",
"\n",
"@bp.odeint\n",
"def int_x(x, t, y, z, Isyn):\n",
" return y - a * x ** 3 + b * x * x - z + Isyn\n",
"\n",
"@bp.odeint\n",
"def int_y(y, t, x):\n",
" return c - d * x * x - y\n",
"\n",
"@bp.odeint\n",
"def int_z(z, t, x):\n",
" return r * (s * (x - x_r) - z)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We now can start to analysis the underlying bifurcation mechanism."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"scrolled": false,
"ExecuteTime": {
"start_time": "2023-04-15T20:19:40.374404Z",
"end_time": "2023-04-15T20:19:59.010363Z"
}
},
"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 20000 candidates\n",
"I am trying to filter out duplicate fixed points ...\n",
"\tFound 1156 fixed points.\n"
]
},
{
"data": {
"text/plain": "",
"image/png": 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\n"
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": "",
"image/png": 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\n"
},
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"source": [
"analyzer = bp.analysis.FastSlow2D(\n",
" [int_x, int_y, int_z],\n",
" fast_vars={'x': [-3, 3], 'y': [-10., 5.]},\n",
" slow_vars={'z': [-5., 5.]},\n",
" pars_update={'Isyn': 0.5},\n",
" resolutions={'z': 0.01}\n",
")\n",
"analyzer.plot_bifurcation(num_rank=20)\n",
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},
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"## References\n",
"\n",
"[1] Rinzel, John. \"Bursting oscillations in an excitable membrane model.\" In Ordinary and partial differential equations, pp. 304-316. Springer, Berlin, Heidelberg, 1985.\n",
" \n",
"[2] Rinzel, John , and Y. S. Lee . On Different Mechanisms for Membrane Potential Bursting. Nonlinear Oscillations in Biology and Chemistry. Springer Berlin Heidelberg, 1986.\n",
"\n",
"[3] Rinzel, John. \"A formal classification of bursting mechanisms in excitable systems.\" In Mathematical topics in population biology, morphogenesis and neurosciences, pp. 267-281. Springer, Berlin, Heidelberg, 1987.\n"
]
}
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