{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Quick Start Guide\n",
"\n",
"In this notebook, we will go through how to use `psiclone`, a library\n",
"for streamline topology analysis.\n",
"\n",
"## Basic Information and Loading the Library\n",
"\n",
"This tutorial assumes `psiclone>=0.4.2`. You can check the version of\n",
"`psiclone` using either `pip show` or inspecting `psiclone.version`.\n",
"\n",
"As of April 1, 2025, the latest version is `v0.4.2`."
],
"id": "667638e1-c396-44fd-aa2b-265a68101bbc"
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Name: psiclone\n",
"Version: 0.4.2\n",
"Summary: Toolbox for Topological Flow Data Analysis using COT Representations\n",
"Home-page: https://github.com/t-uda/psiclone\n",
"Author: Tomoki Uda\n",
"Author-email: uda0@sci.u-toyama.ac.jp\n",
"License: MIT\n",
"Location: /opt/build/repo/.venv/lib/python3.12/site-packages\n",
"Requires: matplotlib, msgpack, nbformat, networkx, numpy, plotly, scipy\n",
"Required-by: \n",
"Note: you may need to restart the kernel to use updated packages."
]
}
],
"source": [
"%pip show psiclone"
],
"id": "056b6663"
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Help on module psiclone.version in psiclone:\n",
"\n",
"NAME\n",
" psiclone.version\n",
"\n",
"FUNCTIONS\n",
" version()\n",
"\n",
"VERSION\n",
" 0.4.2\n",
"\n",
"FILE\n",
" /opt/build/repo/.venv/lib/python3.12/site-packages/psiclone/version.py\n",
"\n"
]
}
],
"source": [
"import psiclone\n",
"\n",
"help(psiclone.version)"
],
"id": "257071b2"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If you are unsure, try using `help(...)` as shown above. (This is a\n",
"basic piece of advice applicable beyond Python.)"
],
"id": "8158b274-f571-4544-8696-fba4122a2dfc"
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Help on package psiclone:\n",
"\n",
"NAME\n",
" psiclone - Toolbox for Topological Flow Data Analysis using COT Representations\n",
"\n",
"PACKAGE CONTENTS\n",
" compatibility (package)\n",
" cot\n",
" data (package)\n",
" experimental (package)\n",
" psi2tree\n",
" reeb (package)\n",
" test (package)\n",
" util (package)\n",
" version\n",
" visualization (package)\n",
"\n",
"FILE\n",
" /opt/build/repo/.venv/lib/python3.12/site-packages/psiclone/__init__.py\n",
"\n"
]
}
],
"source": [
"help(psiclone)"
],
"id": "dd56dfbf"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As you can see, `psiclone` consists of several subpackages. Here, we’ll\n",
"preload `reeb` and `visualization`."
],
"id": "24d891d0-421a-4f38-9093-24ca13d6881f"
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"import psiclone.reeb\n",
"import psiclone.visualization"
],
"id": "5838bf2d"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Handling Input Data Formats\n",
"\n",
"## Loading Data\n",
"\n",
"Now let’s move on to the full tutorial. For reading and writing data,\n",
"`numpy` is convenient. For visualization, `matplotlib` and `networkx`\n",
"are also useful."
],
"id": "56b6a9f9-b4d1-48be-8d44-ea6f4a4ff673"
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import networkx\n",
"import numpy"
],
"id": "4ac16d40"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Input Data: `GrayscaleImage`\n",
"\n",
"A typical input for computing a Reeb graph is an $n \\times m$\n",
"real-valued scalar array. This is handled by the `GrayscaleImage` class.\n",
"Let’s take a look at its `help` page first."
],
"id": "4290e8af-e9db-4992-88c5-07b51e079d07"
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Help on class GrayscaleImage in module psiclone.data.image:\n",
"\n",
"class GrayscaleImage(psiclone.data.abstract_graph.AbstractGraph)\n",
" | GrayscaleImage(array, *, adjacency=array([[0, 1],\n",
" | [1, 0]], dtype=int32))\n",
" |\n",
" | A `GrayscaleImage` object represents an `(n, m)`-shaped scalar array.\n",
" | This object inherits from `AbstractGraph` and is regarded as a lattice graph.\n",
" |\n",
" | Nodes, edges and link_table are compatible with those of `Geometry` graphs.\n",
" | Nodes are pixels locating at the 2D integer lattice. Compared to typical\n",
" | lattice graphs, the adjacency of `GrayscaleImage` is generalized in the sense\n",
" | that any lattice point is connected to points in its reference ball neighborhood.\n",
" | The ball neighborhood is specified by `adjacency` parameter and no entities\n",
" | of the links are maintained. This nontypical adjacency structure is intended\n",
" | to deal with topological noises in grayscale images, and to avoid overuse of\n",
" | memory in the case where the datasize and the ball neighborhood are large.\n",
" |\n",
" | Parameters\n",
" | ---------\n",
" | array : `numpy.ndarray`\n",
" | A two-dimensional numeric array representing a gray-scale image.\n",
" |\n",
" | adjacency : `numpy.ndarray`, default=`four_points_adjacency()`\n",
" | A two-dimensional numeric array representing the lattice adjacency.\n",
" |\n",
" | Notes\n",
" | -----\n",
" | The `adjacency` parameter is intended to use one of the following functions generating such an array.\n",
" |\n",
" | - `box_adjacency(r)`: Connects all lattice points within a box of radius `r`.\n",
" | - `ball_adjacency(p, r)`: Connects all lattice points within an L^p ball of radius `r`.\n",
" | - `four_points_adjacency()`: Equivalent to `ball_adjacency(1, 1)` (default).\n",
" | - `eight_points_adjacency()`: Equivalent to `box_adjacency(1)`\n",
" |\n",
" | Method resolution order:\n",
" | GrayscaleImage\n",
" | psiclone.data.abstract_graph.AbstractGraph\n",
" | builtins.object\n",
" |\n",
" | Methods defined here:\n",
" |\n",
" | __init__(self, array, *, adjacency=array([[0, 1],\n",
" | [1, 0]], dtype=int32))\n",
" | Initialize self. See help(type(self)) for accurate signature.\n",
" |\n",
" | is_in_bound(self, i, j)\n",
" |\n",
" | to_geometry(self)\n",
" | Convert a given 2D array `pict` to a grid geometry.\n",
" | An edge in a grid geometry links four-point neighbors,\n",
" | whereas a node in a grid geometry consists of properties\n",
" | `{'x': i, 'y': j, 'level': pict[i, j], 'geotype': 0}`.\n",
" |\n",
" | Returns\n",
" | -------\n",
" | geometry : `psiclone.data.Geometry`\n",
" | A grid geometry.\n",
" |\n",
" | ----------------------------------------------------------------------\n",
" | Class methods defined here:\n",
" |\n",
" | create_graph()\n",
" | Factory method of GrayscaleImage.\n",
" |\n",
" | ----------------------------------------------------------------------\n",
" | Readonly properties defined here:\n",
" |\n",
" | data\n",
" |\n",
" | edges\n",
" |\n",
" | link_table\n",
" |\n",
" | nodes\n",
" |\n",
" | ----------------------------------------------------------------------\n",
" | Data and other attributes defined here:\n",
" |\n",
" | MockLinkTable = <class 'psiclone.data.image.GrayscaleImage.MockLinkTab...\n",
" | A mock link table of GrayscaleImage without maintaining its Edge entities.\n",
" |\n",
" |\n",
" | __abstractmethods__ = frozenset()\n",
" |\n",
" | ----------------------------------------------------------------------\n",
" | Methods inherited from psiclone.data.abstract_graph.AbstractGraph:\n",
" |\n",
" | to_network(self)\n",
" |\n",
" | ----------------------------------------------------------------------\n",
" | Data descriptors inherited from psiclone.data.abstract_graph.AbstractGraph:\n",
" |\n",
" | __dict__\n",
" | dictionary for instance variables\n",
" |\n",
" | __weakref__\n",
" | list of weak references to the object\n"
]
}
],
"source": [
"help(psiclone.data.GrayscaleImage)"
],
"id": "504c46a4"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Notice the line in the help output that says\n",
"`GrayscaleImage(array, *, ......)`. This indicates how the class is\n",
"initialized, showing that you can create an instance by passing an array\n",
"as an argument. Let’s try it in practice."
],
"id": "4f6e72fa-e5fa-4245-8e97-5bcae4e06c53"
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"data = numpy.arange(12).reshape((3, 4))\n",
"img = psiclone.data.GrayscaleImage(data)"
],
"id": "f85b66ee"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A `GrayscaleImage` object inherits from `AbstractGraph` and thus has a\n",
"graph structure."
],
"id": "595fec28-952d-494f-9867-7e41430041cd"
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/plain": [
"[Point(id=np.int64(0), level=np.int64(0), x=np.int64(0), y=np.int64(0), geotype=np.int64(1), order=np.float64(-2.498091544796509)),\n",
" Point(id=np.int64(1), level=np.int64(1), x=np.int64(1), y=np.int64(0), geotype=np.int64(1), order=np.float64(-2.1587989303424644)),\n",
" Point(id=np.int64(2), level=np.int64(2), x=np.int64(2), y=np.int64(0), geotype=np.int64(1), order=np.float64(-1.5707963267948966)),\n",
" Point(id=np.int64(3), level=np.int64(3), x=np.int64(3), y=np.int64(0), geotype=np.int64(1), order=np.float64(-0.982793723247329)),\n",
" Point(id=np.int64(4), level=np.int64(4), x=np.int64(0), y=np.int64(1), geotype=np.int64(1), order=np.float64(-2.896613990462929)),\n",
" Point(id=np.int64(5), level=np.int64(5), x=np.int64(1), y=np.int64(1), geotype=np.int64(0), order=np.float64(nan)),\n",
" Point(id=np.int64(6), level=np.int64(6), x=np.int64(2), y=np.int64(1), geotype=np.int64(0), order=np.float64(nan)),\n",
" Point(id=np.int64(7), level=np.int64(7), x=np.int64(3), y=np.int64(1), geotype=np.int64(1), order=np.float64(-0.4636476090008061)),\n",
" Point(id=np.int64(8), level=np.int64(8), x=np.int64(0), y=np.int64(2), geotype=np.int64(1), order=np.float64(2.896613990462929)),\n",
" Point(id=np.int64(9), level=np.int64(9), x=np.int64(1), y=np.int64(2), geotype=np.int64(1), order=np.float64(2.677945044588987)),\n",
" Point(id=np.int64(10), level=np.int64(10), x=np.int64(2), y=np.int64(2), geotype=np.int64(1), order=np.float64(1.5707963267948966)),\n",
" Point(id=np.int64(11), level=np.int64(11), x=np.int64(3), y=np.int64(2), geotype=np.int64(1), order=np.float64(0.4636476090008061))]"
]
}
}
],
"source": [
"img.nodes"
],
"id": "ba2eb409"
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/plain": [
"[<psiclone.data.graph.Edge at 0x7f4a59b75d30>,\n",
" <psiclone.data.graph.Edge at 0x7f4a322d02c0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a36356e70>,\n",
" <psiclone.data.graph.Edge at 0x7f4a36356c60>,\n",
" <psiclone.data.graph.Edge at 0x7f4a36355880>,\n",
" <psiclone.data.graph.Edge at 0x7f4a36356390>,\n",
" <psiclone.data.graph.Edge at 0x7f4a363562d0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a36354f80>,\n",
" <psiclone.data.graph.Edge at 0x7f4a36356c30>,\n",
" <psiclone.data.graph.Edge at 0x7f4a36356ea0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a36356f00>,\n",
" <psiclone.data.graph.Edge at 0x7f4a36356ed0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a36356f60>,\n",
" <psiclone.data.graph.Edge at 0x7f4a36356f30>,\n",
" <psiclone.data.graph.Edge at 0x7f4a36356f90>,\n",
" <psiclone.data.graph.Edge at 0x7f4a36356fc0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a36356ff0>]"
]
}
}
],
"source": [
"list(img.edges)"
],
"id": "151771b1"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Since this is not very intuitive as-is, let’s visualize the graph\n",
"structure. To visualize the input data structure, we can use\n",
"`psiclone.visualization.draw_geometry`."
],
"id": "dac0bd6a-ba13-4f34-9f72-bc5e4a699fa5"
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAhwAAAGECAYAAAB9I/nPAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nrkJggg==\n"
}
}
],
"source": [
"psiclone.visualization.draw_geometry(img)"
],
"id": "92181ced"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As shown above, numerical array data with shape `(3, 4)` is represented\n",
"as a graph structure. The `GrayscaleImage` class represents a lattice\n",
"graph specialized for $n \\times m$ numerical data such as images.\n",
"\n",
"In fact, by specifying the second argument `adjacency`, you can use a\n",
"different adjacency relation. The following code demonstrates the use of\n",
"an eight-neighbor adjacency relation."
],
"id": "c66b2f61-1d56-46c2-87c9-9c8153753d67"
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAhwAAAGECAYAAAB9I/nPAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\n1I4mHBRFURRFqR1NOCiKoiiKUrv/B5K3SMHwK8JUAAAAAElFTkSuQmCC\n"
}
}
],
"source": [
"img = psiclone.data.GrayscaleImage(data, adjacency=psiclone.data.eight_points_adjacency())\n",
"psiclone.visualization.draw_geometry(img, edge_vmin=-2, edge_vmax=-1)"
],
"id": "3d96e069"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"When handling data with a high level of noise, it is useful either to\n",
"remove the noise in preprocessing or to choose an adjacency relation\n",
"appropriate to the noise scale. In many cases, using the eight-neighbor\n",
"adjacency as in the example above is sufficient. The following example\n",
"shows how to specify yet another adjacency relation."
],
"id": "52efddd1-5e5d-4868-abf2-00aefb2a1d32"
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAhwAAAGECAYAAAB9I/nPAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nGelrAAAAAElFTkSuQmCC\n"
}
}
],
"source": [
"img = psiclone.data.GrayscaleImage(data, adjacency=psiclone.data.ball_adjacency(2, 2.5))\n",
"psiclone.visualization.draw_geometry(img, edge_vmin=-3, edge_vmax=-1)"
],
"id": "3291e5c7"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Input Data: `Geometry`\n",
"\n",
"More generally, `psiclone.data.Geometry`, which represents a graph with\n",
"coordinates, height values (and several other properties), can also be\n",
"used as input data. In fact, it can be obtained by converting from a\n",
"`GrayscaleImage`."
],
"id": "41a5f3da-a2e0-4832-bcc3-ab6c1b2195b8"
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/plain": [
"{Point(id=np.int64(0), level=np.int64(0), x=np.int64(0), y=np.int64(0), geotype=np.int64(1), order=np.float64(-2.498091544796509)): [<psiclone.data.graph.Edge at 0x7f4a363a32f0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621ac90>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621b4d0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362ecbf0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362ec4d0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362ef7d0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362ef410>],\n",
" Point(id=np.int64(1), level=np.int64(1), x=np.int64(1), y=np.int64(0), geotype=np.int64(1), order=np.float64(-2.1587989303424644)): [<psiclone.data.graph.Edge at 0x7f4a363a32f0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621a5a0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362ee120>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362efe30>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362ee4b0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362ec710>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362ee900>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362eecc0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362effb0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362eeab0>],\n",
" Point(id=np.int64(2), level=np.int64(2), x=np.int64(2), y=np.int64(0), geotype=np.int64(1), order=np.float64(-1.5707963267948966)): [<psiclone.data.graph.Edge at 0x7f4a3621ac90>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621a5a0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362edc70>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a3bf0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a2c90>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a2ae0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a0140>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a1640>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a0890>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a01d0>],\n",
" Point(id=np.int64(3), level=np.int64(3), x=np.int64(3), y=np.int64(0), geotype=np.int64(1), order=np.float64(-0.982793723247329)): [<psiclone.data.graph.Edge at 0x7f4a362ee120>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362edc70>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362efbf0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a32c0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a2a20>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a3a40>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a39b0>],\n",
" Point(id=np.int64(4), level=np.int64(4), x=np.int64(0), y=np.int64(1), geotype=np.int64(1), order=np.float64(-2.896613990462929)): [<psiclone.data.graph.Edge at 0x7f4a3621b4d0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362efe30>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a3bf0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a0200>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a38c0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3624e750>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3624de80>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3624e2a0>],\n",
" Point(id=np.int64(5), level=np.int64(5), x=np.int64(1), y=np.int64(1), geotype=np.int64(0), order=np.float64(nan)): [<psiclone.data.graph.Edge at 0x7f4a362ecbf0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362ee4b0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a2c90>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362efbf0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a0200>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a25d0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3624e900>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3624f470>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3624ed20>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3624f7a0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3624f290>],\n",
" Point(id=np.int64(6), level=np.int64(6), x=np.int64(2), y=np.int64(1), geotype=np.int64(0), order=np.float64(nan)): [<psiclone.data.graph.Edge at 0x7f4a362ec4d0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362ec710>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a2ae0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a32c0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a38c0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a25d0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3624ecf0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621df70>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621f3e0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621e030>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621c230>],\n",
" Point(id=np.int64(7), level=np.int64(7), x=np.int64(3), y=np.int64(1), geotype=np.int64(1), order=np.float64(-0.4636476090008061)): [<psiclone.data.graph.Edge at 0x7f4a362ee900>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a0140>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a2a20>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3624e900>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3624ecf0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621cc50>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621d580>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621f020>],\n",
" Point(id=np.int64(8), level=np.int64(8), x=np.int64(0), y=np.int64(2), geotype=np.int64(1), order=np.float64(2.896613990462929)): [<psiclone.data.graph.Edge at 0x7f4a362ef7d0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362eecc0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3624e750>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3624f470>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621df70>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621e090>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621c980>],\n",
" Point(id=np.int64(9), level=np.int64(9), x=np.int64(1), y=np.int64(2), geotype=np.int64(1), order=np.float64(2.677945044588987)): [<psiclone.data.graph.Edge at 0x7f4a362ef410>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362effb0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a1640>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3624de80>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3624ed20>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621f3e0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621cc50>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621e090>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621ec30>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621e9f0>],\n",
" Point(id=np.int64(10), level=np.int64(10), x=np.int64(2), y=np.int64(2), geotype=np.int64(1), order=np.float64(1.5707963267948966)): [<psiclone.data.graph.Edge at 0x7f4a362eeab0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a0890>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a3a40>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3624e2a0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3624f7a0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621e030>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621d580>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621c980>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621ec30>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621ea80>],\n",
" Point(id=np.int64(11), level=np.int64(11), x=np.int64(3), y=np.int64(2), geotype=np.int64(1), order=np.float64(0.4636476090008061)): [<psiclone.data.graph.Edge at 0x7f4a362a01d0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a362a39b0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3624f290>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621c230>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621f020>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621e9f0>,\n",
" <psiclone.data.graph.Edge at 0x7f4a3621ea80>]}"
]
}
}
],
"source": [
"geom = img.to_geometry()\n",
"geom.link_table"
],
"id": "e865a730"
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Help on class Geometry in module psiclone.data.geometry:\n",
"\n",
"class Geometry(psiclone.data.graph.Graph)\n",
" | A `Geometry` object models geometry of a collection of pixels with\n",
" | topological structure. An edge of `Geometry` has no properties,\n",
" | whereas a node of `Geometry` has the following properties.\n",
" | Note that this has nothing to do with geometric graphs in graph theory.\n",
" | In general, the edges are crossing and even not line segments.\n",
" |\n",
" | Properties of Point\n",
" | -------------------\n",
" | id : int >= 0\n",
" | level : int, float\n",
" | x, y : int, float\n",
" | geotype : int >= 0\n",
" | order : int, float, optional\n",
" |\n",
" | Note on the geotype property\n",
" | ----------------------------\n",
" | The geotype property may have any non-negative integer values.\n",
" | Geotype 0 is reserved for interior points.\n",
" | Geotype 1 is reserved for exterior points.\n",
" | Geotypes 2, 3, and so forth will be used for any other kind of geometric boundary points.\n",
" |\n",
" | Method resolution order:\n",
" | Geometry\n",
" | psiclone.data.graph.Graph\n",
" | psiclone.data.abstract_graph.AbstractGraph\n",
" | builtins.object\n",
" |\n",
" | Methods defined here:\n",
" |\n",
" | __init__(self)\n",
" | Initialize self. See help(type(self)) for accurate signature.\n",
" |\n",
" | ----------------------------------------------------------------------\n",
" | Class methods defined here:\n",
" |\n",
" | create_graph()\n",
" | Factory method of Graph.\n",
" |\n",
" | create_node(*args, **kwgs)\n",
" | Factory method creating a Point instance.\n",
" |\n",
" | Parameters\n",
" | ----------\n",
" | id : int >= 0\n",
" | level : int, float\n",
" | x, y : int, float\n",
" | geotype : int >= 0\n",
" | order : int, float, optional\n",
" |\n",
" | Returns\n",
" | -------\n",
" | point : Point\n",
" | The point with specified properties.\n",
" |\n",
" | ----------------------------------------------------------------------\n",
" | Static methods defined here:\n",
" |\n",
" | modify_incompatible_id(geometry)\n",
" | Enforces node ids' uniqueness and sequential compatibility.\n",
" | The modification applies only to `Geometry` instance.\n",
" |\n",
" | Parameters\n",
" | ----------\n",
" | geometry : `psiclone.data.Geometry`\n",
" | A `Geometry` object\n",
" |\n",
" | Returns\n",
" | -------\n",
" | is_modified : bool\n",
" | True when incompatible ids are modified\n",
" |\n",
" | ----------------------------------------------------------------------\n",
" | Data and other attributes defined here:\n",
" |\n",
" | __abstractmethods__ = frozenset()\n",
" |\n",
" | ----------------------------------------------------------------------\n",
" | Methods inherited from psiclone.data.graph.Graph:\n",
" |\n",
" | __iadd__(self, other)\n",
" | Add an other graph into self.\n",
" |\n",
" | Parameters\n",
" | ----------\n",
" | other : `psiclone.graph.Graph`\n",
" |\n",
" | add_edge(self, node1, node2, *args, **kwgs)\n",
" | Create and add an edge linking node1 and node2.\n",
" |\n",
" | add_node(self, *args, **kwgs)\n",
" | Create and add a node.\n",
" |\n",
" | connected_components(self)\n",
" | Compute connected components.\n",
" |\n",
" | Returns\n",
" | -------\n",
" | components : list\n",
" | A list of connected sub-graphs.\n",
" |\n",
" | detach__edges(self, node)\n",
" | Make a node isolated so that each adjacent node is connected to a clone of the node.\n",
" |\n",
" | Parameters\n",
" | ----------\n",
" | node : `psiclone.graph.Node`\n",
" | A node to be detached.\n",
" |\n",
" | Returns\n",
" | -------\n",
" | new__nodes : list\n",
" | A list of __nodes cloned from the original node.\n",
" |\n",
" | find_walk(self, src, dest)\n",
" | Find a path from `src` to `dest`.\n",
" |\n",
" | Parameters\n",
" | ----------\n",
" | src, dest : `psiclone.graph.Node`\n",
" | Source and destination nodes.\n",
" |\n",
" | Returns\n",
" | -------\n",
" | walk : list, None\n",
" | A list of __edges that realizes the found path.\n",
" | None is returned if not found.\n",
" |\n",
" | invert_branch(self, branch1, branch2, midnode)\n",
" | Try to invert branch operation. Note that `midnode` is not removed.\n",
" |\n",
" | Parameters\n",
" | ----------\n",
" | branch1, branch2 : `psiclone.graph.Edge`\n",
" | Edges connecting a common `midnode`.\n",
" |\n",
" | midnode : `psiclone.graph.Node`\n",
" | A common node connected with `branch1` and `branch2`.\n",
" |\n",
" | Returns\n",
" | -------\n",
" | edge : `psiclone.graph.Edge`\n",
" | An edge recovered from `branch1` and `branch2`.\n",
" |\n",
" | reconnect(self, edge, old_node, new_node)\n",
" | Replace a connected `old_node` by `new_node` in `edge`.\n",
" |\n",
" | Parameters\n",
" | ----------\n",
" | edge : `psiclone.graph.Edge`\n",
" | An edge to be reconnected.\n",
" |\n",
" | old_node, new_node : `psiclone.graph.Node`\n",
" | Nodes to be replaced.\n",
" |\n",
" | reduce(self, edge, needless_node)\n",
" | Reduce a node in the direction of an edge.\n",
" |\n",
" | Parameters\n",
" | ----------\n",
" | edge : `psiclone.graph.Edge`\n",
" | An edge to be reduced.\n",
" |\n",
" | needless_node : `psiclone.graph.Node`\n",
" | A node to be removed.\n",
" |\n",
" | register_edge(self, edge)\n",
" | Register the edge instance.\n",
" |\n",
" | register_node(self, node)\n",
" | Register the node instance.\n",
" |\n",
" | remove_edge(self, edge)\n",
" | Remove the edge.\n",
" |\n",
" | remove_node(self, node)\n",
" | Remove the node.\n",
" |\n",
" | subgraph(self, nodes, edges=None)\n",
" | Create a sub-graph made of given nodes.\n",
" |\n",
" | Parameters\n",
" | ----------\n",
" | nodes : list\n",
" | A list of subgraph nodes. Not copied.\n",
" |\n",
" | edges : list, optional\n",
" | A list of subgraph edges. Not copied.\n",
" | All the edges linking given nodes are used if omitted.\n",
" |\n",
" | Returns\n",
" | -------\n",
" | other : `psiclone.graph.Graph`\n",
" | A graph made of given nodes.\n",
" |\n",
" | walk_deeply(self, initial_node, fun)\n",
" | Walk from `initial_node` and apply `fun` to each node in a deep recursion.\n",
" |\n",
" | Parameters\n",
" | ----------\n",
" | initial_node : `psiclone.graph.Node`\n",
" | A first node to visit.\n",
" |\n",
" | fun : callable\n",
" | A function with the signature `fun(node, n)` applied to each node.\n",
" |\n",
" | Parameters\n",
" | ----------\n",
" | node : `psiclone.graph.Node`\n",
" | Every node path-connected with `initial_node`.\n",
" |\n",
" | n : int >= 0\n",
" | Recursion depth, or a path length, from `initial_node`.\n",
" | Note that this does not coincide with the shortest path length in general.\n",
" |\n",
" | ----------------------------------------------------------------------\n",
" | Class methods inherited from psiclone.data.graph.Graph:\n",
" |\n",
" | create_edge(node1, node2, *args, **kwgs)\n",
" | Factory method creating an Edge instance.\n",
" |\n",
" | ----------------------------------------------------------------------\n",
" | Readonly properties inherited from psiclone.data.graph.Graph:\n",
" |\n",
" | edges\n",
" |\n",
" | link_table\n",
" |\n",
" | nodes\n",
" |\n",
" | ----------------------------------------------------------------------\n",
" | Methods inherited from psiclone.data.abstract_graph.AbstractGraph:\n",
" |\n",
" | to_network(self)\n",
" |\n",
" | ----------------------------------------------------------------------\n",
" | Data descriptors inherited from psiclone.data.abstract_graph.AbstractGraph:\n",
" |\n",
" | __dict__\n",
" | dictionary for instance variables\n",
" |\n",
" | __weakref__\n",
" | list of weak references to the object\n"
]
}
],
"source": [
"help(psiclone.data.geometry.Geometry)"
],
"id": "0785d011"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Again, since looking directly at the internal data is not very\n",
"intuitive, let’s visualize the `Geometry` object. As in the previous\n",
"example, we will use the `draw_geometry` function."
],
"id": "3d9a815c-d8a9-4d69-8bac-c7f6dbf0c826"
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAhwAAAGECAYAAAB9I/nPAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\n"
}
}
],
"source": [
"psiclone.visualization.draw_geometry(geom)"
],
"id": "00c5b2bc"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You can see that it produces exactly the same lattice graph as at the\n",
"beginning.\n",
"\n",
"### Creating a Geometry Object Directly\n",
"\n",
"Let’s create a simple `Geometry` object from scratch. This tutorial does\n",
"not go into detail about constructing complex `Geometry` objects.\n",
"Basically, you can represent the discretization of any geometric shape\n",
"by adding vertices with `add_node` and edges with `add_edge`."
],
"id": "c5ea551a-72ba-4409-b917-6c8e0f641c2f"
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/plain": [
"<psiclone.data.graph.Edge at 0x7f4a362a14f0>"
]
}
}
],
"source": [
"geom = psiclone.data.geometry.Geometry()\n",
"n1 = geom.add_node(id=0, level=2, x=3, y=4, geotype=psiclone.data.Geotype.INTERIOR) # , order)\n",
"n2 = geom.add_node(id=1, level=6, x=7, y=8, geotype=psiclone.data.Geotype.EXTERIOR) # , order)\n",
"geom.add_edge(n1, n2)"
],
"id": "d67513bd"
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAhwAAAGECAYAAAB9I/nPAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nAICw+/+gl+qxpbMEGQAAAABJRU5ErkJggg==\n"
}
}
],
"source": [
"psiclone.visualization.draw_geometry(geom)"
],
"id": "13e5af68"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Reeb Graph\n",
"\n",
"Now we can finally apply our analysis program to the input data. Before\n",
"moving on to streamline topology analysis, let’s first look at the Reeb\n",
"graph, which plays an important role in such analysis.\n",
"\n",
"A Reeb graph summarizes the topological structure of contour lines using\n",
"a graph representation. It can be computed using the\n",
"`psiclone.reeb.get_reeb_graph` function. However, for the simple input\n",
"data we’ve handled so far, the topology is trivial, so the resulting\n",
"Reeb graph is also trivial."
],
"id": "d140bccc-2ade-4d42-a208-a1945094ccd2"
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAArMAAAHzCAYAAAAzV5XqAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nbJ1zOfLHsMkAAAAASUVORK5CYII=\n"
}
}
],
"source": [
"reeb = psiclone.reeb.get_reeb_graph(img)\n",
"networkx.draw(reeb.to_network())"
],
"id": "6dcfe6de"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let’s construct a simple nontrivial example."
],
"id": "2820459f-562c-4a0d-8e83-4af14f59a816"
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/plain": [
"array([[ 0, -3, -4, -3, 0],\n",
" [ 3, 0, -1, 0, 3],\n",
" [ 4, 1, 0, 1, 4],\n",
" [ 3, 0, -1, 0, 3],\n",
" [ 0, -3, -4, -3, 0]])"
]
}
}
],
"source": [
"y, x = numpy.mgrid[-2:3, -2:3]\n",
"f = x * x - y * y\n",
"f"
],
"id": "9ed2c860"
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAlAAAAGgCAYAAABlmFnBAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nYw4NAAAAAElFTkSuQmCC\n"
}
}
],
"source": [
"plt.contour(x, y, f)"
],
"id": "03f62a1a"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As you can see, this is a $(5, 5)$ grid sample of the height function\n",
"$f(x, y) = x^2 - y^2$. This function has a saddle point at the origin,\n",
"and the topology of its contour lines changes across the height level\n",
"$f = 0$. Now, let’s look at the corresponding Reeb graph."
],
"id": "026492e3-9fcb-44ad-b121-bd5ec66dc092"
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAmYAAAJiCAYAAABtvQ6cAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nEUIIIYSoif8PBHSQ45l1QQwAAAAASUVORK5CYII=\n"
}
}
],
"source": [
"plt.figure(figsize=(8, 8))\n",
"\n",
"img = psiclone.data.GrayscaleImage(f)\n",
"reeb = psiclone.reeb.get_reeb_graph(img)\n",
"networkx.draw_networkx(reeb.to_network())"
],
"id": "35af5d10"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Since the contour lines are divided into four types around the origin,\n",
"the corresponding node in the Reeb graph at height $0$ has degree $4$\n",
"and branches into four edges. Using\n",
"`psiclone.visualization.draw_graph_markers`, you can see where the\n",
"topological transition points occur in the original data."
],
"id": "5f4d9abe-16d4-415b-8485-1128d44dcb97"
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAZYAAAGbCAYAAADnZrZIAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nAkAqYQEglbAAkEpYAEj1/wFaWe5QkMwSXAAAAABJRU5ErkJggg==\n"
}
}
],
"source": [
"plt.imshow(f, origin=\"lower\", cmap=\"gray\")\n",
"psiclone.visualization.draw_graph_markers(graph=reeb, geometry=img, lw=3, edge_color=\"r-\")"
],
"id": "85c9504a"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"------------------------------------------------------------------------\n",
"\n",
"## Exercise: Create a contour plot with your own formula and compute its Reeb graph"
],
"id": "0bec6f45-4490-455f-81db-4e0a256a7a37"
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAABr4AAAJ9CAYAAABjIgLtAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\ndpIAAAAASUVORK5CYII=\n"
}
}
],
"source": [
"# Prepare grid variables using numpy.mgrid[y0:y1:y_divisions*j, x0:x1:x_divisions*j].\n",
"# Note: the number of divisions is specified as an integer multiple of the imaginary unit.\n",
"y, x = numpy.mgrid[-6:6:121j, -3:3:61j]\n",
"# Enter any expression you like.\n",
"f = numpy.cos(x) - numpy.sin(y)\n",
"# Convert to a GrayscaleImage and compute its Reeb graph.\n",
"img = psiclone.data.GrayscaleImage(f)\n",
"reeb = psiclone.reeb.get_reeb_graph(img)\n",
"\n",
"fig = plt.figure(figsize=(24, 8))\n",
"fig.add_subplot(1, 3, 1)\n",
"plt.contour(x, y, f)\n",
"\n",
"fig.add_subplot(1, 3, 2)\n",
"networkx.draw(reeb.to_network())\n",
"\n",
"fig.add_subplot(1, 3, 3)\n",
"plt.imshow(f, origin=\"lower\", cmap=\"gray\")\n",
"psiclone.visualization.draw_graph_markers(graph=reeb, geometry=img, lw=3, edge_color=\"r-\")"
],
"id": "30050dfb"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"------------------------------------------------------------------------\n",
"\n",
"# Flow Data Analysis (TFDA)\n",
"\n",
"## Uniform Flow Case\n",
"\n",
"We will load input data consisting of multiple `(x, y, z)` samples under\n",
"a setup where a single obstacle is placed at the center, and convert it\n",
"into a COT representation of uniform flow."
],
"id": "6b983b95-bcbb-4744-9857-24ac9b33e093"
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"import psiclone.visualization as vis\n",
"from psiclone.psi2tree import Psi2tree\n",
"from psiclone.util.convert import convert_array_to_geometry"
],
"id": "bc3b76b2"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So far, we have imported modules using regular `import` statements, but\n",
"for frequently used components, it is more convenient to use\n",
"`from ... import` directly. Here, we will perform streamline topology\n",
"analysis using `Psi2tree` and `convert_array_to_geometry`. Let’s start\n",
"by creating some test data."
],
"id": "a058aa47-0937-4b10-8874-4fa51b611a91"
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAbIAAAGeCAYAAADxHYRRAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nhAAAAABJRU5ErkJggg==\n"
}
}
],
"source": [
"y, x = numpy.mgrid[-3:3:101j, -3:3:101j]\n",
"z = x + y * 1j\n",
"flow_domain = numpy.abs(z) >= 1.0\n",
"obstacle_domain = ~flow_domain # negation\n",
"\n",
"plt.imshow(flow_domain, cmap=\"gray\", origin=\"lower\")"
],
"id": "7a025fcc"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We created a mesh grid and defined a complex variable\n",
"$z = x + y\\sqrt{-1}$ using the imaginary unit `1j`. We consider the flow\n",
"region with a circular obstacle at the center as\n",
"$\\{z : \\left|z\\right| \\ge 1\\}$.\n",
"\n",
"To represent data over this region, `numpy.ma.masked_array` is useful.\n",
"It is a special type of array that allows specifying missing regions\n",
"using a mask. Except for the masked regions, it behaves like a regular\n",
"`numpy.ndarray`. Now, using the complex variable $z$ and `masked_array`,\n",
"we define the following stream function."
],
"id": "63dd8bf6-10dc-41cd-ba96-8a7bdc15bdbe"
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAbIAAAGeCAYAAADxHYRRAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90\nbGliIHZlcnNpb24zLjkuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8ekN5oAAAACXBIWXMAAA7E\nAAAOxAGVKw4bAACKZ0lEQVR4nO2deXgb1bn/v6N9X73bcRzbWcni7AESCGHfytbS0t5ucMuvF7rB\nbQu3tJdyW3pbSmm5LeX2tqXQfaPslK0lrElIICEJZLVjJ3ESL7JkyZasbeb3x8hjzcgeaaSR7Une\nz/PosTVz5pwzI2m+c973Pe9hOI7jQBAEQRAaRTfVHSAIgiCIUiAhIwiCIDQNCRlBEAShaUjICIIg\nCE1DQkYQBEFoGhIygiAIQtOQkBEEQRCahoSMIAiC0DQkZARBEISmISEjCIIgNI1BSeE//vGPeOCB\nB/Duu+8iEokgmUzCYBirYufOnfjc5z6Ht99+G263GzfeeCPuvPNOMAwDAOA4Dt/85jfx85//HIOD\ng1i+fDl++tOfYuHChQW1z7IsQqEQLBaLUCdBEAShHTiOw8jICDweD3Q6lcZSnAKee+457ve//z33\ny1/+kgPAJZNJYV84HOZqamq422+/nYtGo9zOnTu5+vp67r777hPK3HPPPVxDQwO3c+dOLhqNcrff\nfjtXV1fHRSKRgtoPBAIcAHrRi170opfGX4FAQIn8yMJwnPKkwRs3bsQ555wjGpE98sgj+MpXvoJj\nx44J2+6//378z//8D9rb2wEAs2bNwpe+9CV88YtfBACkUinU1tbivvvuw8c//vGcdpLJJFKplPA+\nGo2ioqICv2OaYWbKaxXVGdUZ8TEq1SNFZ5h+/VOrT1KYMtWbTbn6rnXYlOLbg2K4MrWhZt+5pDp1\nlet6qtY/leqRI86x+BjXgeHhYdhsNlXqVGRalGPHjh1YunSpyNS4cuVKdHR0IBwOg+M4dHZ2YtWq\nVWONGwxYunQptm/fPq6Q3X333bjrrrtytpsZXfmFTCXTZblMoNOxf2r1SQqjmwQhm4Q2tAirmwQh\nY8okZCrWq1Yf1exTNtO9fzlwKt971KooHA7D4/GItnm9XmFfOBwGgHHLjO6TcscddyAajQqvQCCg\nVncJgiCIkwTVRmQulwtHjx4VbQsGg8K+UQtmKBTKKVNfXz9unUajEUajMWe73qaDfpwRWdlMW9Pc\nPAio18dpabJUyyEsA6OnEdl4cOnyP6GzLKtaXdkmNn0J9eSYAK2l9wdQuU/ZFNk/QHLNSqhHykT9\n1XMAhtRrB1BxRNbW1obt27eLfFrbtm1Dc3MzXC4X3G43mpqasHXrVmF/KpUSTJIEQRAEUQyKhCyd\nTmNkZASJRAIAEI/HMTIyApZlcfXVV0Ov1+POO+9ELBbD7t27ce+99+Lmm28Wjr/ppptw7733Yvfu\n3YjFYrjzzjthNBpx1VVXqXtWBEEQxCmDItPib37zG3z6058W3jscDgDAyy+/jPXr1+P555/HzTff\nDL/fD5fLhc9+9rO45ZZbhPJf/vKXEYlEcN555yEcDmPFihV47rnnhHoKxejUw1hEsMd0NxGqZh4s\nwRSnlolNp6KpbjKCPci0OD6TYVrkWPVMx6xRnf6Wct4iU6lKJj+geLNk3khJlcymUibqL8sxqpsW\niwq/nypisRhsNhuerp1fVNQiCVkBfSAhI7KYHCFTrw1Wpf6qJmSl9OEkDfmPcywuO74H0WgUVqs6\nTjlKUUUQBEFoGhIygiAIQtOoFn4/mRicehhUDslWK8RbTROVWua5Ukxz083UyOjL8+w1GeZLLaKm\n2U9Ub1od85vUlKjLna1TEDmmRAX1SK+RvsjxQY5ZtMhzAcTnozcXX4+smbRIq2CaZYDjxR07ETQi\nIwiCIDQNCRlBEAShaUjICIIgCE2jSR+Z3qiHfhyf1nQM+Z4OPia1/EqlXBO1kvKWK0yeUclHynEc\nUqMvNut/jgXLAWmOQ5rjwHEAC45fz4Ib/TtOvxiAAQMdAzDgE63qM+/1DAMDw/B/dfxfI6MT/lfl\nfFRMHyWqN63O9WZL8OGp5f8rxd+X7Rcr1r/H90Ed/5pa/j5g4qkQelb937AmhYwglMJxHEZYFkOp\nNKLpzCvzfyzNIsayY/+n0xhJsxhhWYxk/o+zY69E1vskyyHJsUhk/k9Nk2mZOgBGnQ5GHS9uJh0D\nk04Hs04Hk14Hk04HS+a9Wc//b9HrYdWP/bXq9bAyDKwGPWx6PeyZ7Xa9HrbMNuMk5MEkiHyQkBGa\nIM1xiKRSGIqnMZhKIZJMI5JKZb3490PJNIbSKQyl0plXCsMZ0SrP2CIXQ2akZMiMlAwMA11m5KRn\nxkZTDBj+eZcBdOCfUrOfVfkVCMdGayz4kVya48CCQ5oFUpkRXopjkeaAFMcLKgtkxBYA0mU7V7NO\nB4eBFzmHQQ+7wQCHQQ+n5K/LYIDTYIDToIfLaIBTx28z63S02jtRMpoUMoOlsPB7NU2N2ZRiqlPL\nZFmKqa5Y85wa5jeO4xBNpzGYSiOUTCKYSGIwmcJgMolQMolwMoVQMoVwkt8eTqYwmOTFqlQsOh3s\nBj3sBj1sBgNsel1mZGHg/xr0sIyORDIjE0vmb/bIxawXj2xGX8aMaE2HG3Oa45BkWSTY0b8s4unM\n38z/cZblR56jo05hNDo2Uo2m0oilxkawow8Fw6k0hlMpvq4EiwCSRfXTpGPgMhrhNhjgMhrgNhrh\nNhngMRrhMhrgyWzzGI3wmAzwGAxwGYwwZL7/pXwjizWb5pjxDIX3QmoKLXq6QCkmVZWmPkgpdCpE\nmkyLxHQjzXEYzAhSMJHEQDKJUCKF4Oi2ZBKhBC9SoWQKoUQSySLMbwwAR+ZmJ305DQY4M38dBj0c\nkv/ten6kYJAR/5NtHpmeYaDX62EpZd0QyN8wOY5DLM1iOJXC8OiIOCNw4WRmlJx5CIlkHkpG/44+\nqCRYDv3xBPrjCUX9chkMvLCNipzRAK/JyL+Mkr8mI6z6Ei8EMa0hISNEcByHSCqNgYwIDSSSY/8n\nUwgmEoJgjY6mlMqSRaeDx8TffDwmY+aJO/M0Lmzj3/NP6QY4DAbeLEc5EacNDMMII9lKhceyaU7w\nW0Yyo+7BZPboPIXBzPcrlPU+NDpST/GvwxgpqD2LTieIms84+tcgep/9v4l8f5qChOwUIMGyImEK\nplMigQqMjqYyApVWOGJyGw3wGo3wZJ6CfZmbgsfIPzGPPh2PipdFrz/pRkCEchiGyZhx9aiyFJZ+\ngmN5n2A4I3ijI/9QMiVYBca2jb0fYVkcH4nj+Ei8oHacBj3/Pc58n33Zgmcwwm8cEz6nQT8tzMmn\nMpoUMr3ZAEOJIeVqhYMD6oWEF+qDYjOBD6NiJB49Jfj3CV6gBhIJDKWUOfsdBj28JiP8JhO85tEf\nson/4Y6+zCb4LSa4jUZZk93E5zp1frpRaHSnDLUyywOArlj/FMvBAKDSYkAlLIUdk/HLBmJjv42B\njGUhEE8imPnNDCSSCMQTCCWTmeChNLoKGPEZGGbsd2Eyif73Gg2ZB7ux7YWO9tSa+lCKT0+K3HSH\nQv19qTL46DQpZCcb/A+NRTAVF54mB7JGSdnbBjJPmkrCvA0MI5hO/Fmi5DcZ4beY4DePvfeaTDAX\n+JBAoypCCzAMA7vBAJtdjxn2/AkC2cyILxBPCL+7/pEEAhnxEx4S4wkEk0kMpdLojSfQG08AGM5b\nvyMz2vMZTfCaDILIZVsz+JGfHm5DcQ+KpxokZGWA5TgMpdLigIeM6YM3d2SCIbL2JxRGITkMen7E\nNGr6MBuFUdToj8FnMsFvNsJpMEA3gemDRiUEIUbHMLwZ3DQ2xJAbjY6k0+IHz0QSgdFRXjwhspoE\nE0lhakgh/j0GgCtjuueDV8RmfG/Gz+fJ7PMYT03/HglZHjiOw3A6zUfcZRzNoVRK7IROJYX9o3+V\nWmEsOt3Y05jkycyXJVjeCcwTNDoiiKnBotejzqpHnTXX1CmN+uQ4DuFUShjVhTJ/hYfaUbNnMoWB\nRCIT/MK/OhErqD92vV4IpPIYDfAYMsFUBoMQ4enO+K/dRn5Kg9qriUw2mhQyvZGBPmP+KtRnMhoh\nNSido5TKjpYa//9isjWM+plGgx08pnHEKeu9zZAbHly8H6nw40rxOZWUNmsa+MhI/JWhU3FJl6Ln\ncJXQh1J8fEp8evn66IcBfljQWsBxaY5DKJEtcqP/j5k5s1+DST4BwHA6je4CA1sA/n41GjXsNhrg\nNmT9n7XdlfnflZnyUmgqtOzPW69TP/uNJoUMAI5EY+hPJBFJ83NVwsLclcw8lUz2h8FUUgjvLWb+\nEgBY9bqx+SqmzATNzNPO6DDfbczYui28MFHqHoIgSkXPMPCbeT92IYxOnwnEeP/d6JSFUGLUYjT2\n/+j8z3ByLBNOd2GDPgFeAPl5m26jURA4l2FsjqfLaIBTr4PTYMAsuxXleHzUrJB9c89B7BiMKDrG\npGPgygyzR+cnOQ0GuDOiNLrPbTTAYzYJTyOFBj8A5HMiCGLqYBgGLqMBDp0eMwtc+XI0CjqUGJ27\nlxRl1wllJrKHkkmEMxasbPHjo6ILG/09tHwh5jrsJZzh+GhSyAxmA+a6HQDD8BkdRrM8jKr/6JDY\nbIQra1KtpcjZ/SWtsKzSyEyJQE5Vf5WZNE9N06JabZZr5ebJanMyTIvSsjoFd7vc/hX+vVPSR7Wm\nNEj7q+xcOfhMevhsypaSTnMchjLWrnAyiVA8mcnakmUZk7yvsFthMKsvO5oUMgD42mmz85YhHwhB\nEER50DMM3CYj3CYjAGvBAj6SVj+JNTlyCIIgCE1DQkYQBEFoGk2aFvUmA/QlZrOeitDx3HoKf44o\nze81OT6z6T5doJR2p0O9hVIu/9lU+ciKbVeZP21yfGJSlExpkL9mk9NfNXx6+rT6vw8akREEQRCa\nhoSMIAiC0DQkZARBEISm0aaPzKhTnKIqH+r5vaa3P0rpsSeTj+xk9YnlYzr6zKa/j0ydeks5dqr8\ndnL1KJmfJq6nvCmqaERGEARBaBoSMoIgCELTaNS0aIB+nGzxUqaDGWo6mhonIz1UufozPT5TbT//\nqbby8DQ0LRZvuiuP2U7rpkRlxxY2PUCfovB7giAIghBBQkYQBEFoGhIygiAIQtNo00dmKsxHJmU6\nhOpPhj9oOvinynaeSuplpn86q6lG1bRTnALf2zQIjZ8OfjrxcdNvCoB8PcX59PRl+C3RiIwgCILQ\nNCRkBEEQhKYhISMIgiA0jSZ9ZDqDHrqMj2w6zA06mVIzybZTJv/UdPDp5TAJPjEl/VNr7ldetD43\nTCU/3eT5qwqfyzYZqbpyj1V/6ZhyjJ5oREYQBEFoGhIygiAIQtNo0rRYaPj9ZKWHmpI2p7mZr2zn\nomQKAKPgs9DAytOFomq2eyUmNq48oe9qhernXBeZW8jkmTMn7kQp5mT1pgConyaLwu8JgiAIQgIJ\nGUEQBKFpSMgIgiAITaNJH5nOpIfeoLzrqi2/MUlpkqZFWLpKfjBZf5WKqa8UnZsSH1qxbUxDiva9\nqOgDU+TDkfN7SfrEFOtzKtNyK6X45Rh94Wn4pH462W+27LkqaLPI71E5fj7a/kUSBEEQpzyaHJER\nxHQhzbKIjCQQHkkgEk9gOJHEUDyJ4UQS0UQKI8kUYplXIpVGIp1GIpVGkmWRTLNIsyxSLAeW48Bx\nnPCwzDD8U7WOYaDX6aDXMTDqdTDodDDq9TAb9DAZ9LAY9LAYDbAZDbAYDbCbjHCYjbCbjLCbjXBZ\nTHBZzLAY9MqiOAlCQ5CQEUSGVJpF33AMfUNR9A3F0D8UQ/9wDAPREQSGRzAQjSEUiyMYiyMUjWMw\nFsdQIjnV3S4Io14Ht8UMj9UMt9UMr9UMn80Cn90Cv90Cv82KCocVFXYrKh1WVDpscJqNJH6EJtCk\nkDF6PZjRFFUqLdUxWUuziI+bmrlWas2vUs0vp6A/ec9tnD5xHIfA8AiOhiI4NjiE44PDOB4ewvFw\nFCfCwzgRHkZPZBiB4ZgSN5DQdaeZH/U4LSZhJOQwG2EzGTOjJSPMRn4UZTboYdLzoymDTgeDXgc9\nw0CnY6BjGMG3wWX6zXIAy3FIptNIsxySaRbxVCrzN414KjPiS6QQTaYQzYwGI/EEhjKjxHAsgUQ6\njf5hXpgLxWYyoMppR43ThmqXHbWjL7cDdW4HGjwO1LodMI8zpzOfD0yRf0XmQ1EtlZSK8+Wy+5T3\nm63asjPq+OnyHptFsT48RumPrAA0KWQEkU2aZXFscBiHg2EcCUVwOBjBkWAER4JhHA0NoTsUwUgq\nnbceHcOg0smPRkZHJX4HP1Lx263w2a3w2izwWM3w2ixwW81wmk3QaWCtspFkCoOxOEKxOELREQQz\nr/7hGAaGM6PPobHRaG9kGNFECp2BQXQGBmXrrnLY0OB1YIbXhQaPA41eF2Z4nGj0OtHoc8FpNk3S\nWRKnKiRkhCaIxBPoDITRGQzjUCCMzoFBdA2E0TkQxtFQBMm0/BO122pGvduBeg8/mqh12VHrcaLG\nZRdeFQ4r9BOM+LRuYrNkfGjVLrtou9zoIjKSQE8kM2IND+NYKIIT4WEcGxzCsdAwugcjOB4eRu9Q\nFL1DUbxzpHfcevx2C2Z6XZjpc6PJ78IsnxtNPieafC7UuRyaeBAgpjeaFDK90QC9MX/XpyL7eUlZ\n6qebyQ9Qzewn26fMccPxJDoCIXT0hXCwL4iO/kF09IfQ3h9CbyQq23a104aZfjcafS40+tyY4XWh\n0edEg9eFeo8TTotp0lJWaSlFVU5Ps8xXbocBbocNc2orx2+H45BmWRwfHEZ3KIIjA2F+VDwQxuHM\ng8bhgTACw7yP8Z2juUJnMegxq8KD5goPmivcaKnwoKXSi5ZKD2pddv4zU5J2SrRPEpIuZwlT0Vyo\nyIQpF46vYGpBbh8UmDezmYRM+QosmwWjSSEjtEuaZXF4IIIDfUEc6AuivS+Eg/0htPeF0D04NOFx\nZoMeTX43ZmVeTX43ZlV4MNPnQqPPBZvJyBfU+BwvraHX6dDgdaLB68TqWXVjOzI3NZbl0BMZFkyU\nnYFBHBp99Q+ibyiKPScC2HMikFO33WREc4UHrZVutFR4MbvSg9lVXrRWeuGykLmSGIOEjCgL4ZEE\nDvYFsb8viAO9QRzIjLLa+0NITGAGNOp1mOV380/kFR60VPJP6i2VHtS7nWSC0iA6HYNaNx8Ucnpz\nfc7+8EgcHX0hYeTdnvn/YF8IgeEYdh3rw65jfTnHVTttmF3lxexKL2ZX8AI3p9KLBg99T05FSMiI\nouE4DsfCw/zoqjeE/f2hjGgFcTw8POFxdW47Wiu9aK3woLXKi9lVPrRWejDD64JBnzui0rp/ipgY\nl8WMJQ1VWNJQlbMvFB3Bwb4QDvQEcDAzcj/QG0RHfwg9kSh6IlG83t4tOsZqNKC10pMlcB7MyTwY\nWQtwRxDaRJOfrM5khK7EL2VJN0cVUyrJH1v+kPVC+hdPpdHRPyZU+3sGsL83iIN9QQzFx59HZTbo\nMbvSi9YqL+ZU+TCnxscLVpUXDkkUW97PQiV/IOSmakzBkj/lQnomJa0uLRd+rWD5Etkw7gn653M5\nsMrlwErJSI5lORwJhvmHpp4A9vcO4EBPEPt7B9ATiWLXsX7sOtYvboMBGr0uzMk8OM2p4k2Vc6q8\nqLBb834HJ8MXl1OPbI+kxypIbyX3fcjjwJILDirUh6crw4OpJoWMKA8DwzHs7x0zB+7PjK46A2Gw\nE3yB/XYr5lR5MafahzlVPt7EU+1Do9cpjgCcZjd7QrvodAxm+t2Y6XfjvLmNon2h2AgO9PDf2/09\nA9jXM4D9vQM4FOCDT7oGwnhxb5foGI/VnBE43jw5u8qLOVVeNPnc41oIiOkHCdkpRiKVxqHAINr7\nQ7zfKsscOBAdGfcYHcNglt+dESveLzGn2ofZlV74HVahHJkAianGY7VgZVMtVjbVikYPiVQanYFB\n7OsdGHtI6xnAgb4gQrE43uo6gbe6TojqGvXZtlZ60JoJNmmt5P/67VZp08QUQkJ2EsKyHI6Fh9De\nzwtWe2AQBzMO9K6BiUdXDrOR9y2MilXmKbWlwsNnb6BRFaFRTAY9/yBW7RvbyLLgOA49kWhmBBfE\nvt4B3i/XF8SRYIS3UPQGARwS1ee1mdFa4eGDkjLTBlorPJjld8M+GkFLTBqaFDJGrx/XBlw2f1Te\ng8s/50x6bizLoXtwKDPvahAdA4No7wtlwppDE2ay0DEMmjJPmaM+rNlV/Oiq1m2Xta2XzZeVL81Y\nsUvJqDhvrOjR5mSJv4zfQ67n+dItKUndJDsXq4QlVOR8ccX43oRjOQ4MgFq/CbV+D86aNyurTyyG\n40m09/Nm9oMZq8WBXn7KSDAax9bDPdh6uCen3hqXnY+2zYjcLL8bzRVuNFd4ckQuu//5Uj7J+TqV\n+eWKX6qlFL+dUEcJc9UmQpNCdqoQS6ZwOJO9gs9oMTYPp2sgjLhM2qUqp41/Sqz0orVybJJpc4Ub\nFiM9MRJEPuxmIxbXV2FxvTiikmVZfhSXiaA82BfEwcy0gUP9g0L+zjc7unPqrHbaxuZB+t2Y6XVh\nlt+FJp8blY78QSfE+KguZD09Pbjlllvwj3/8A/F4HPPnz8d3v/tdnH322QCAjRs34tZbb8XevXtR\nXV2Nr371q/i3f/s3tbuhCZLpNI5ncgR2DYTRFYxk/vIZEeRC2AE+x93ok15zpQfN/szfCjdcFvMk\nnQVBnFowDCOkNVvX2iDal2ZZHAlG0NHPC1tHXwgdgUG09wXRNRAWpg1s7jyeU6/NaMBMvyuTzov/\n2+hzodHrQqPXCZeZHkAnQnUhu+mmm9Db24vdu3fD5/PhRz/6ES677DJ0dXUhEong0ksvxT333IPP\nfOYz2LRpEz7wgQ+gpqYGV111VcFt6IyGosLvizUfKjJZZrUxFE/gaDCC7tAQjgTDfCLbUET4/1ho\naEJ/FQAYMlkTRrNYzKrgn+SaK7yYVeHOCWMX+jtV4ezlMgHK9beUladljlW20vQ09x3KmOYUheqX\nYoYs1uxYyrFSE5aCVZSLNVnqAMyq8mFWlQ/nSvbxya2H0NEXwqEAP3rr7A8JlpbBWBx7Tgxgz4mB\ncet2WUyY4XVhhtfJp2DzOjHD50KDx4l6jwPVTvvYZHCVVgWQM3fmm9YxkbmzHL8WhstrJFfGkiVL\ncP311+OLX/wiAGBoaAhOpxObN2/Gc889h8cffxzbt28Xyt9yyy3YuXMn/vGPf+TUlUwmkUqlhPex\nWAx+vx/d/3VjUZMb1RSy8EgCxweH+ASqg3wi1e5QBMfCwzga4sVrMBaXr5cBal0OzPA6+ScwvxuN\nXv5vk9+FerdzLPxXiT+NhCzvcfnaPVWELLdoeYRM9jZTgpDJ9jePkMk2WcKSL4puqVl1BaMjvEVm\ndKpAYBBdA4M4EozgcDCMaCIlUxEfZVnrdvDJsbMSZPMvfvmdaqctJzG2ktyc4uOKm58YS6ZQ/5//\nh2g0CqtVnehP1Udkt912G37+85/j2muvRUVFBR544AG0tLRg8eLF+O53v4tVq1aJyq9cuRKPPPLI\nuHXdfffduOuuu9TuoixD8QR6ItHMGlVR9ISHcSLz/nh4GCfCQzgeHp5wInA2ZoMeDR4+D129xzH2\nNOXhl7eo9zhhylrLiezjBHHq4rVZ4LVZ0JbJcpItiPyaejEcHghnrDoRHM0sV9QdiuBoKIL+IX7/\n4YHwhG3oGAbVThtq3bxptNbl4Nebc9pR7bKhJvO3wj7xShDTEdWF7Mwzz8RvfvMb1NXVQa/Xw+fz\n4bHHHoPVakU4HMacOXNE5b1eL8Lh8S/8HXfcgdtuu014PzoiUwLHcYjEk/x6S9ER9A1F0TsUQ1+E\nX3pi9H1vJIreSBTDBa74azUaUOu2i5546t1O1HmdqPc4Ue92oIKctwRBqADDMKhw2FDhsGFZY824\nZWLJFI6FIugeHMKxjMAdGxxG9+CQYD3qG4rheOahXA4dw6DSYUWV04Yqhw1VThsqHTZUOayodNpQ\nabeiwm7h1+yzWaZ84riqQsayLDZs2ICzzjoLgUAALpcLzzzzDC655BK88sorcLlcCIVComOCwSBc\nLte49RmNRhjHibDTGfToCPLBEAPROALDMQSGM4sEZpan7x+KIZD5m0jnX1RxFGtmzaZqYVVcB6pd\nNn5Y7uKFq9bjhNtqLkqkpmKpllJSMxVtElQSzq6mCbDYc1ViHlTr2quJArOZbNopJfXKmaSkx6lk\nssxZ2kTqw8luR+qjUZIeSnps9rlK2yzF95Zdl4JQ9/HMlza9Hq01ZrTWVEx4XCKVRs9gBMczK6WP\nRlieCA9l1p3jrU+B4ZgQmFIIHqsZFQ4rKuxW+B22zGK0FvjtmUVprWb47RbMrfZBP86K4qWiqpAF\ng0F0dHTgr3/9K3w+fuLhFVdcgZaWFjz//PNoa2vDE088ITpm27ZtWLp0qeK2Pvfnf4wb+TMedpMR\nFZmnC78985ThtKPKyV/wGpcd1U47qlw2OM0FrFuloSE3QRDEKCaDPuPiGH/wMEoynUZfJIaeCL+o\nam/GgtUbiaIvEkX/UFRYUbx/OMavPB6L42BfSLbe5266ZtwE0aWiqpD5/X7Mnz8fDzzwAO677z44\nHA48++yzeO+997B8+XLMnj0b3/ve9/Dggw/ihhtuwJYtW/DQQw/hoYceUtzW4vpK6HSMsAR9tvr7\n7WPL01c4rGNrVWVBJj+CIIjxMer1qPM4UOdxiLaPNxJMsyyC0ZGMsMUwMBwTWcmCwzEEhmIYiI6g\n2mnPOV4NVPeRPfHEE/jKV76C1tZWjIyMYMaMGfjxj3+M8847DwDw7LPP4pZbbsGtt96K6upqfOc7\n38HVV1+tuJ17ruTnpdHoiCAIYurQ63SC/27eRIWyzKaxpHz0ZTGoHn5fTmKxGGw2G07c83lYC8hn\nNllLtYjaLJf/ZDr4spQcm+fai/pbQooqJVMAZNtR0l8l9U4HZFM8lTCHS4n/rFhfm+TYkvpb7PSA\nPMcWPT0AyH/u4soUFC3ytl7Ckj+FSkkskUTNV3+savj9NP8FEgRBEIQ8JGQEQRCEptFk0uBiU1SJ\nKMUcpMB8qCxDhEqh+aVEXZaS7SL7mua7RsWWnSqTpWifgv5OBflMUFkmINXC7SXHKjIB5utvdoZ4\nBWVz6pWEzWf3Mfc6FB4mn3uoTEZ76bEqZa1XtEq13OeYJwO/knRnE6ErgzeLRmQEQRCEpiEhIwiC\nIDQNCRlBEAShaTTpI4NeP64tdypWeQagbmb6QutVUI+i0HG1VnLOVzar/2XzvUmvUQmpujhGge9N\nQb2qUWQYtyKfU07KJ8mxnEq+rJxmsvbn869k11XCytOy0wdkfG1AHl9RKasAiKrJk6pLrl4lGaJU\nXF16rIriQ/wngkZkBEEQhKYhISMIgiA0DQkZQRAEoWk06SNjjEYw4yzvkve4Yv1gZZoLpuoqxMX6\ntpT4nHL2iY8t2henwJ+mxKfHScuW4g+U+1yV+MzUmmOWM0dKQdnsXVIfSAlppxT5nHSF+70YOb9X\nTpv6rF0T+/CkZfNeT7mlb1Sae5dvDpfsvLecwjLLzkgpMi1VvpRUE/ntmDIkRaQRGUEQBKFpNDki\nI4jpDMdxCISH0DMwiN7gIPpCYfQPRhAaimJwKIrg0DCGY3FE43GMxJOIxuNIpVmkWRZsmgXLcdDr\ndNDrddDrdDAbDbBZzLCaTbBZzHDZrXDbbfA6bPA47ajyulHldaHK40KNzwNzAQm1CeJkQpNCxuj1\nY8NWldYVKy10fwpWFy4lTL7YNFRqmuYUhNTLhr5Lj1WQzgoy9XJ5zi0SjeHgkePoONaDju4etHf3\n4HBPH7p7AzjaG8BIIinfdhmp8rnRUOnHjOoKNNVVoaWuGrPqqtHaUIOGKr/8xyZnutPlCZOXSzsl\nU6+iUH1pH2RMo7npoeTMkvIh9SLbVb6QdJG5UFI0x9QoY96UIDofNbPmy5ge5VKNKbrzitJ2qR9+\nr0khI4jJIp5IYk9XN3a1d2F3+xHs7erG3q5uHO0NyB7ncdhR7XOjyudGpceNCo8LXpcdbocDbocd\nDpslM8oyw2IywmjQQ6/TwWDQA2DAsvwILZVOI55IYiSRQHQkgejICAaHohiMDCE0NIyBwSFh1Nc7\nEMKJgRB6BwbROzCId/Z15PTLbjFjTmMd5s2sx8KWRixsnoFFLTNR7XOX6QoSRPkhISOIDKl0Grs7\njuDtfR14e38Htu3pwN6ubqTS6ZyyJqMBrQ21aKmvRnNDDZrrqjGztgozqirQUOWHw2YZt42cAJQi\nmWgUk06zOBEI4mhvAId7+nHoWA86uk+go7sH+48cQ18wjO37D2H7/kPAi2PHVXndWDZ3FpbPbcby\nuc1YMa8FFW6nKn0liHJDQkacskSiMWzafQCb3tuPze8dxNa97YiOxEVlGIbB7Bm1WNTciEWtjVjQ\n1IB5s2agqaYqM3qCauZtNdDrdaiv8qO+yo/VC+fwG7PMOoHBCPZ1HcWeQ0fx3qEj2NV+GLvau9Ab\nHMRzm3fguc07hLKzG2qw+rTZOP202Vi7eC5a66pKW6yWIMqEJleIDjx0V0ErROdQbLqgqfCB5ZQt\n0wrGcj6mfH1QUG/eUPhC+5SvD1nvpX6u4ZEE3ti5F6/ueB+v7Xgf2/cfQjotHtk011dj+fxWrJjX\nimXzW7C4tQl2q0V+CoAE2VGXWkIg87PN63PixKHvLMui83gv3t7bjnf2tOPtve3Yvq8dsXhCdFi1\nz4N1bfNxVtsCrF+2EM11lSJhY+TSTsmks8rrT5OpJ+dcFRyraPVrJfWKdpWworWCdnIo08rTRbeR\nRSyRhP/6O1VdIZqErBBIyMbvwzQXsjQ4vHugCy9t3Yl/vr0Lm3bvRzI1ZibU63VYNrcZZyyehzWL\n5mH1wrmo8k7gKzqJhWw8kqkUdh7oxOZde7F51z689u4e9IfCojKN1RU4d8UinLtyEc5ZvhBem238\nNsZ9T0KWtw8K2smBhGz6QkImVxUJGQAMDo/gpW078fyWd/HC1p3oDQ5mHcpg2dxmnL30NJy1dAHW\nLJoLp806fv+knGJCJq2L4zjs6+rGazvexyvvvIdXtr+HgfCQUE6v02HNabNxwaoluGh1GxbOqheb\nIUnIJihAQqYGJGSFQEI2fh+miZAdOtaLZza9g2c378DrO/eJgjPqK304f9VinLdyMc5etgg+l2Pc\nukjICqgrq2w6zeLdAx34x9ZdeGnrTmzavR/prJt2Y3UFLl7ThkvWtOHstgUwGSTXhIQsfx8UtJMD\nCdn0RRCyR749JmRqLZOhoqjIN1Ok4EhRax5ZCamvZMVJTYGU+L04jsO7B7vw9Ovb8OTr2/BexxFh\nv16vwxmL5uLCNctw/pqlWDBrxtjIQKad3HOREWIl89MkcGrNe1RyE87ZL7PcinR5EJGQTVx2cCiK\njdvexfObt+O5zdvROzA2EnbZrbhgdRs+sHYFLli9BE6btXh/Ws65yAhOKSm05NpRspSM0nYKrCev\nQMrWOwkiJyXrvGOJJPyf/DoJGQkZTjkh4zgOW/e247HXtuKJV99C5/E+YbfTZsUFq5fgkjOW44I1\nS4VRVz5xIiFTT8iyy7Isi7f3tOPZN9/G02+8jfcPjT1omI1GnLtyEa5atxKXnL4MXqedhKyIekjI\nxJCQjUJCpridcgsZy7LYurcdf3tlKx57batoEnKV143L1y7H5etW4ay2BWNpmeTMhSRkmf3lFTLp\nvo7uHjz9+lY89fo2bNq9X8gAYtDrsWH5Qlx91kpcfuZyXtQKaEe8j4RMMSRkU4sgZL/9Lqzm/D6y\nktJOiSsqvOwU+ciKTWelmu8KUCaQE4TJcxyHrXs68OjGzXhs42Z09w0I++orfbji7DW44uzVWLNw\nLvR6nbw46SRphxT0N0dwRKKXx/83URvlRIHPTCSCcvuk++WECwDDZk0cn0CMTvQH8dTrW/H4xk14\nbcf7YDM3OKNBj3OWL8LV69fgsjOXjYkaIG+GlCInOGr64oqsJ3e/hn1kOdUUVk8snoT/X24nISMh\nU1jXNBcylgF27O/En//5Jh57ZQuO9IyNvBqq/Ljy7NW4ev0arFzQCkYvmcNPQpbphDaELPvYvlAY\nT736Fv62cTNe2f6eSNTOXbEIH9xwOi47czlclqwsKSRkhUFCNn0hISuyrmkqZO93HsVfXt6Ev768\nGe3dPcKu+kofrlq/BlevX42V81uhy0pqqshcSELGd2GaCln2vr5QGE+++hb+tnELXt0xJmoWkxEX\nrW7Dh845HRetaYPVlCcZEQkZDwnZ9IWErMi6ppGQHTx6An/duAV/3bgF73ceFbZXed24ev1qfPCc\nNVi9cC502Z9dsX4vEjK+CxoQsmx6B4J4/JW38OjLm/H6zr3CdofVgktPX4oPnrMG5y1fOP5yNSRk\nPCRk05dRIRv4w/dhNZv4jRoL9ihWcKTI3zwVBHCoGRgygd+ro7sHf3uFNyG9e6BT2O5zOfCBdavw\nwfPWYl3bAt7nJW1TWq9UcCRiVaw4sXL1SNrlpOvRynwf8gpvseQRFdmyGCubL9hDJyNOikSPFSde\nLjSIpLs3gMdefhN/+cebeHtvu7Ddbbfh8nUrcfX6VThn2UKYjIZMOyr50+TKKgkMkZB3jl82pQik\nHFMd7BFPwHfdV0jISMimv5B19vbjscxTdfZyIi67FZetXYEPbjgDG1YsgtFgKCm6kIQsU+1JKmTZ\nZQ8d68Gj/9yER1/ehJ0Hu4T9Xqcdl69dgWvOWYP1S+bDaDCMX68UErICypKQqQ4J2RjTUci6egJ4\n/NWtePSVLdiW9fTssFpw6ZnLcc05a3DuisWwmE3FmwtJyDIVn3pClr1v/+FjeGzjZjy6cbNoQrzP\n6cAH1q3AVWetwvq2eWOiNh4kZAWUJSFTHRKyMaaLkO0/chxPvLYNj722FTuyzIY2ixmXnL4UV529\nGheuaYPVIlmfi4SsNE5xIcs+dk/nUfxt4xY8+vJm7Dt8TNjlddpx6elLccW6lTh3+WmwmEwF9zcH\nErLSICEbQxCyv/xwTMjkUCJOcqglMFLUDCIpNuAgT7CHdCkUlmXxzr5DeOr1bXjq9W2iG4fdasZF\na5biyrPX4MIzlsNmMU/cB5UmI+cKmUxQhkzwh1Sc5AQyR0whI3pKRE6GfDfAbFHJCcJA4cKQIzgy\nopcrTjJBJJKy5ZiUzXEc9nQcxt9e3oQnXn0Le7KCiewWMy5YvQSXnbkCF53eBo/DLqqGkYpGTjuF\nPygUfBxQtqAM1QRTCQW2GYsn4PvQLSRkJGQK6ypRyEYSCbyy/X0888bbeHbTdhzvDwr7PQ47Lj5j\nGa48axXOXbVE+FwmK6sGCdnofhIyadm9nUfxxCtb8MRrW0VBRga9HmuXzMOlZyzDpWcux8yaShIy\nNSAhKwwSsiLrKkLIjvYG8Pxb7+L5t97Fy2/vxnDWysn1lT5cdiafHmrtkiw/xBSkhyIhG91PQpZb\ndmzf4RN9QpqsN3buE2XqXzCrARevbsOFq9uwekEr/30mIVMOCVlhCPPIHvtJYUKmhFJEbyrmjpXg\nI+PG8ZGNxBN4Y9devPTWTry0daco0SsALG5twqVrV+DSM1dgyZxZfEZ5Bf2TEys5MeKPndjvJefb\nYhn5LCDZ7Ur7xzJS0ZMRMpmyUqSiJz5OXK/czUgqTuLjpDf3if1T0rI6ubIyYsQfm5p4X86xE/dB\nVgTz+QYLEJzAYAQvbtmOZ1/fhhffeheRaEwo4rbbsH75Qpy3kl/6p7GmMre/JfjIihZEJfVIKUWo\n1PKRZRGLJ+C/6nMkZCRkeeopQMjSaRY7D3bhn++8h43v7MamXftES9vbLWacs3wRLjp9KS5Y3Yb6\nKr+ywAUSsnEhIRvdP3VCln1sIpnCGzv34PnN2/H8ph3Yf+SYqMzsGbU4e+lpOGcZvxirz+UgISsR\nEjISssLqGWcfy7LYfegIXtuxB6/u3IvX392DYGRYVGZx60ycm3kSPX3hXD5zghJzoUwfSMgy+0jI\nMvunh5BJ93Ue78VLb72Ll7buxMZ33hON1hiGwZLWmThryXysWzIfZy6emxM0kr8PJGQkZCRkhdXD\n6BAdieOd/Yfw5q592PTefmx57wBCQ1FRscbqCmxYsQjrly3EWUsXoNrnke0DCdn4ZUnIRo/VvpBl\nk0ylsH3fIbz89i7earF7P5Kpsb4wDIOFs2bg9IVzhNeMKr/sZ0NCRkI2JmRPPji5wR7lmjemoKw0\nDD6bdJrFge4evL23Hdv2HMRb7x/EroNdIoc2ADTWVGBd2wLhNbOmEsgzf0quf7LipCjYo/CgDGk9\ncmIlrSdXnCaeRyYnTjn1yAV7KNgnh2zAhmR/vmCPbLHKJ3rZAiStN0f0ZARHJHKS/aUEkSgRp1JF\nLzoSx5b39uP1HXvw2o73sXXPQSSS4vOq9nmwakErVi6YjRXzW9DWOhNuh23CZmTNlEpEZLLmlanQ\nh1g8Af8H/k1VIcuTSpqYbqTTLPYfOYZ3D3Th3YOd2L7vELbvP4Sh2IionE7HYFHLTJyxaC5OXzwP\npy+ag4aqipz6NPMUQxBTjC3jNz5n+SIAfIDUO/s68ObOvdi0ax/eev8AegZCwhzLUWbPqMWyuc1o\nm92EtjlNWNw6c3yTJFE0JGTTmL5QGHs6j+K9Q0ex69Bh7G4/gvc7jyKaFQo/yozqCiydMwvL57Vg\n9WmzsXROMxy2TDaNycrAThCnEBazCWcsnoczFs0FAHAch/buE3jr/YPY+v4BvLOvAzsPduHAkeM4\ncOQ4/vTSG8KxM2sqsbB5BhY1N2Jh8wwsaGpAS321fEotYkLoqk0xLMviWH8Q+44cx/4jJ7Dv8DHs\n7erGnq5u9IXC4x7TWF2BJbObsKR1JtrmNGHZ3BZU+72T3HOCILJhGAatDbVobajFRy9YBwBIJBJ4\nr+MI3tnXgXcPduLdA13Y3XEYXSf60HWiD8+8+Y5wvNGgx5wZtZg/swFzZ9ZhbkMN5jTWobW+Wpwl\nh8hBm0KmN/IvNSnBnybnvwJ4c+DRvgA6unvQeaIPHd29aO8+gYNHj6Oju0cU9p6N02bFvKZ6nDar\nEQtb+NdpzY3wuRzjTMrNPpfiJ08r8nvl1Ft4nkO5QAtZP5gCf5rUlyXnB2PzBHtkv88NDBG/b25p\nxVTS0X5Q9F6XkyORzdon8YlxEweySP1nHCsuq8u6DlJ/FMtKvpNZfhmp/0wu6EXWfwaA45jsN+J9\nEH+mSvxpomPz+YKy6jJarGhbMAdtC+YI9aZSaRw8egK7O7qwu/0wdrV3Yc+ho+g60Yf3DvEWGCn1\nlT60NNSgtaEWzfXVmFVTiVn1VWiuq4bTZgUk5yY6l0kL9pi4D+Ji6js0tClk04x4Iolj/UEc6e3H\n4RP9ONobwOGefnQe70PXiV4c7R1AKp2e8PgKjwvzZtZhTmM95jTWYU5jHRY0NaChuoKfeEwQxEmD\nwaDHvKZ6zGuqxwc3nCFsHxqOYd/hbuzpPIoDR45jX1c39h8+ho5jPejuG0B33wBe3f5+Tn0+lwMz\nayrRVFuJGdUVaMy8Gqr9aKj0w++wn/T3ERIyGViWRV8oghMDIZwIhHBiIITjgSCO9QeFv929AfRO\nYALMpsbvQXNdNWbVVWNWXRX/dFVfg5aG2omjmk7yLx9BEGM4bBYsn9eC5fNaRNtTqTQO9/Tj4NHj\naO8+gY7uHhw6xr86j/dhIDyEgfAQtu8/NG69VrMJ9RU+1Ff6UFfhRV2FF7V+/lXj96DG50GN36P+\nlKZJRJPh9/3P/aqoi86BQXg4hsBgBIHBCPpDYfQPRtAXGkRfMIy+UBh9wUH0DAyiNziI/lA4J4R9\nPPR6HWr9Xsyorhh7VfnRWFOJmXU1aKypLHC6gDrz0ZSYANU0F8qG1CswWeaGvmfVmyekXmw+ZGT2\nAeksk6WcKREAZrXOxsnIoYMHRO9zTY1j7/USE2DO3LAsA7d0n1yofk74vcxctnwmQNl8jwqWnZGS\nb86ZXJ8mbDMfBdyaWZZF78AgDh/vQefxXhzu6cfRnn4c6Q3gcE8funsDCA/H8tYD8K6MKq8b1T43\nqrxuVHpdqPTwfys8LvjdTlS4+b9+twNGfXHumFg8gYqLPk3h9wDQnxGjwaFhhIaiCEWG+dfQMAbC\nQwhFoghGhhCMDGFgcAiBzFOLnIlvPHwuB6r9nszTixe1o080FT7U+r1oqPKj2ueBfoIPVVESYYIg\nCAXodDrUVHhR63dj9cI545YJD0czpskAjvcHcbw/iGN9AxkrU5D/GwgiEo0hEo2hvftEQW277Fb4\nXA74XE54nXb4XA54nXZ4XQ54HHZ4nHZ4nXZ4HHa4HTZ4HDbUlCkoTbNC9pGv34dNu/crPs5htWSe\nKJzCU0alxzX29OFxotrnyTyRuGEyGsjERxCEZnHZbXDZbZjf1DB+AY4Dx3EIDQ2jd0BskRq1UvED\nhzD6QxH0D0YQDA8hPBxDeDiGzuN9BfflHz++E0tmN6lzYlloVsgaayrRFwrD7bDB7bDBm3kC8GSe\nAPinAwf/12WH3+WEz+3i8wcSBEEQAgzDwOvk75lzZ9bnLc+yLAaHhjEQ5i1jwQhvCQuGhxAaGkYw\nEhUsZKNWs8GhKLwuR3n6r0kf2Qu/nngBR7UodhSmoD/K1i6T749sXYrSThVfVnbdsJzpAhP7vXLD\n77PC5OXSV0HsX0vrxM9pcn6wptbxzTKnOp0Hx6wecv4zANCzYz40WT8XxD40aT1ya6Rlr482Xr2y\nqa/y5HQstqycLyvvumAKbr+K1hgrNmVVmeQgu++xeAIVF3xCVR8ZOXAIgiAITUNCRhAEQWgaEjKC\nIAhC02gy2IPTG8AVkaJKNX9aCVGMavrFxGXl5pVNPN8rX1klvjfxEiXyaaeKXwtMPu1U9rFpRt5H\ndrLODVOTbN+hdM5ZzjI0WR+jjhPvk84ry85uxUnSYuX4zLK/O5J6pN8zhsme7yX5zuX4f7LTb8kv\nDwOZFFU5/jRRNQp+w3n8U5xcf3OQSRelkh9Mic8uu++cXv01zmhERhAEQWgaEjKCIAhC02jTtKjT\nC6apaRd+n1OPknD8MpkSc/arZC6UOTYnLF4aNo+Jy8plqZeem5z5kEyJ6iK9flJTYzZyZkcAYLLM\nidJQfUmEPZisuhhJBh1pNvxsc2KueVv6VokZMus4admc/dlbJCY+BeY4WZNlCfXKosDsmNMHGbLN\nkDnTbVSARmQEQRCEpiEhIwiCIDQNCRlBEAShaTTqIzMWFX4vqqNciYDL5BObrHRWcmHzpSwPIx9S\nL7+MS/YKzPmWW8l+Tz6x8qLEZyZFh6wUVZJ9bI4/LctHJvHh6KQHy6wQnYOMP00Uxi9z3Li7ZduV\nWaVaWo/kvZzPrBRfnBLk+zAxovB7HYXfEwRBEISIsgjZpk2bsGHDBjidTng8HpxxxhlgMwtU7ty5\nE2eddRbsdjvq6urwzW9+M88TDEEQBEFMjOpCtmnTJlx88cX41Kc+hZ6eHvT39+OHP/whGIZBJBLB\nhRdeiDPPPBP9/f14/vnn8Ytf/AI/+tGP1O4GQRAEcYqg+jIu69atw6pVq/CDH/wgZ98jjzyCr3zl\nKzh27BgMBt49d//99+N//ud/0N7enrfu0WVcTrz2BKwWc87+svm9ctopQf+L7KOSNpXM98rbjgIf\nmdzcsNzUV3Ipqib2r+XzkZFfbHog9ZfJLQGTu2/ipVpyl4fhJi6b42USI/JPydSTQ55bpnSpmYL7\noIQSbttFt6m4nfH7GBuJo2bdFdN3GZdoNIo333wTer0eq1atgt/vx/Lly/Hoo48CAHbs2IGlS5cK\nIgYAK1euREdHB8LhcE59yWQSsVhM9CIIgiCIbFQVsoGBAbAsi0ceeQQPPPAAenp6cMcdd+C6667D\npk2bEA6H4fF4RMd4vV4AGFfI7r77bthsNuHl9/vV7C5BEARxEqBq+L3T6QQAfOpTn8LKlSsBAFdf\nfTXOOeccPP7443C5XDh69KjomGAwCABwuVw59d1xxx247bbbhPexWAx+vx+s3gBWX96ZA2qlvspr\n5pNjCsLzc1dyVlBW1gw5ceorqSkxt17dhPvIlDg9kX4u2StNAwCXZfbjJCZAqeFL7pvNMVKT4MSh\n+lKTWrZ5m5HUIxtir2KWetFUEyXmQrl0W3mQSy2lptlxorNh9ekJ9hSPqiMyt9uNlpYWMBPcKNva\n2rB9+3akUmNLom/btg3Nzc3jCpnRaITVahW9CIIgCCIb1aMWP//5z+Phhx/Gjh07wLIsnnzySbzy\nyiu4+uqrcfXVV0Ov1+POO+9ELBbD7t27ce+99+Lmm29WuxsEQRDEKYLq9rkvfvGLiEajuPzyyxEK\nhTB79mz86U9/wurVqwEAzz//PG6++Wb4/X64XC589rOfxS233KJ2NwiCIIhTBNXD78vJaPj90U3P\njxt+n5dJCM9XdVmZMvnIivV75W9TQfi93DIuMiH2Un9ac0vrhP0jpg8d7QdF77ND7OVC8wH5kHp5\nP1jhIfX5/GmifXnC+gutJwcVb8WTEmJfZH9jI3E0nH7h9A2/JwiCIIjJhoSMIAiC0DQkZARBEISm\n0eYyLnoDuDLPI5NtX00/WHa9Mr6rvMeqtHyMfD0TzwXL14b03DiZpVlyyma9J5+YNpF+btkprKSf\nt/T7IPqWSX0/OV/lwr+/2T406bQxRmYemZKlTBglv+mcuWHF+8wma65YMXDTfR4ZQRAEQUw2JGQE\nQRCEptGkaZFldDnmh1Ipl7lQvk31pgMo639xpsV8/ZXNfi9jWpTbV0i7hPYQpTOTPk9LTF/Zv3Wp\nqS4nHB8Th+pLVx6XNxHK/UaUhN+r990tdnXm3IoKv3eWwwwpnUKjBjQiIwiCIDQNCRlBEAShaUjI\nCIIgCE2jTR+ZTg9Wl2vnnQo/V37K498p5VyV+JyUpLOSO07OZ6Zk6Rji5CPn85Z+r7L9NHL7JPul\nHqXcZVyylnzJ408T11O4ryrXL1e8z0ne3VauTIPFxyJMdK7j3btLZTre+QmCIAiiYEjICIIgCE1D\nQkYQBEFoGo36yIxgdcap7obAVMxzUsuPpNbyL/nqUjaPTPye0lKdfGR/ptIlXnKdW1nfKxmfmPTQ\nXJ+YxF+VnaJKtrfiukr5vTNTcK9Qbf6ZQibyM7I6SlFFEARBECJIyAiCIAhNo03TIqNTPc3J9Azd\nn5hyhairaWostl6CmIic75FMOLucKRGQNyfmM0sWSykZ7UtotPhDKUUVQRAEQZQfEjKCIAhC05CQ\nEQRBEJpGmz4ynRHpaRR+PxVMRRqnktJiyaa6opRUxBg53wdZZ5YSn67kUAX+NbWYEh9ZKZThOlD4\nPUEQBEFIICEjCIIgNA0JGUEQBKFptOkjY/Si5c9PRbS21An5wYhikf3ulOByKpcfTA7N+cjKQDnu\n3TQiIwiCIDQNCRlBEAShaTRqWlQ/RRVBENpDayZrrbkEykE57t2aFDIAaGmdPdVdIMpM+8EDU90F\nYhKh3/TJT7l+0zSsIQiCIDSNZkdk9LROECcX9JsmikWTQpaGAWltdl01tBbGq7X+EpMHV4JhSGs+\nJ631txyU495NpkWCIAhC05CQEQRBEJqGhIwgCILQNJp0NLGcDix3amsww0y+z6lcfi7ynxFyyC4B\nVILPaUqWQuLIR1aOe/eprQYEQRCE5iEhIwiCIDSNJk2LaehVD+HUmnlLbnXbkuqVuQ5SU0y5zJta\n+ywIdZF+z9QyLSox65XL7FjKVIOpoBzXIQ3Kfk8QBEEQIkjICIIgCE1DQkYQBEFoGm36yDgd0tMo\n/H4qQuF1Ktmupf4ouTNhIPbLSX0Osr4tRvqW/GCEcnL8ZzJ+r3z+HSX+KrV8RSyF/Jfl3j191IAg\nCIIgioCEjCAIgtA0GjUt6pHmckM4p8LEB0DWHlcuExpXQr3i6yRvdtBltcNJwmblzJJSM2ROdxVY\nO9rbO4T/W1qaCz+QmLZkf6b5wu2z30vNZLllJ342lzMPKjH5lWKqK19Y//QyHwITX6fx7t2lQiMy\ngiAIQtOQkBEEQRCahoSMIAiC0DSa9JGx0IEdT4NLcEdNRTi4mm0q8Q8y3MRlpX1KZ9nec9sQ28B1\nomOln4+MzyyPeZ9C9U9u8vrIsnwt+Xxi2fvz+b2KDd0vV1qsvHVNReh+Gdoc995dIjQiIwiCIDQN\nCRlBEAShaUjICIIgCE2jSR/ZVKeo0pXJZ1PKPDg5v1dOWZn+y/VB2oYSf5o0pVb2sTouLe2giOk4\nR4YoDdHcsDxpp9is+YvSslI/mBK/l6wfrITUV8WWVdKHUpiKNFnZUIoqgiAIgpBAQkYQBEFoGm2a\nFlkd0qxyDVYrhZXc0LykUHFpNnkFFgAl5s5izYf5VogWnbukCVZyLtmfHitJfSU1NXJZFyI7tRFA\nKau0gvRzyw6blzMl8mUnDqmXS1lVSqb8Ys2OUpSlviq4aP66JsF8WKzps5h7dz5oREYQBEFoGhIy\ngiAIQtOQkBEEQRCaRpM+Mo7TgS0mhFOBDVotf1opPjMlxypphZGxn0t9bcX603L8Z5Ky2cvQ6Blx\n+iqpj0RJOitieiJNS5T9+5XziQHicO3S0lkV7veS820p8WVNVjortXxik7GaNEfh9wRBEAQhpqxC\ndtVVV4FhGLz00kvCto0bN2LZsmWw2WyYNWsWHnzwwXJ2gSAIgjjJKZuQ/frXv0Y0GhVt6+rqwqWX\nXoobbrgBoVAIDz/8MG6//XY89thj5eoGQRAEcZJTFh/Z0aNH8fWvfx2vv/46Zs6cKWx/+OGHMWfO\nHNx8880AgLPPPhvXX389fvKTn+Cqq64quP4Up4N+HDurqst9yNiKlfnPpEudKOlDcW3muw5y+3MX\nahnrv9R/JjevLF86K12WX0yaskbqM5ObG3Sw/ZDofWvLLBBTj/RzkVtuRc4nJt0v9Y3L+cHy+XtY\nUVnxvlLmkU2GX4zNX0T1NhW3M8F1SGnBR8ZxHK6//np8/etfR2Njo2jfjh07sGrVKtG2lStXYvv2\n7ePWlUwmEYvFRC+CIAiCyEZ1IXvwwQfBcRxuvPHGnH3hcBgej0e0zev1IhwOj1vX3XffDZvNJrz8\nfr/a3SUIgiA0jqqmxfb2dnzrW9/C5s2bx93vcrkQCoVE24LBIFwu17jl77jjDtx2223C+1gsBr/f\njzTHID3u8LjwIXNJCi5juctnAsw2CSgxhSoxBkgzzefWVfgK0eIUVfLImSF10hD7LPNCzjWTW4ha\nfpFqkUmLzIyTS/a1lwu35/ePhdxLTYnSY+VC6nPrndhcKEXODFmKaVGJ2U+JmW+qVqbOphST5ijj\n37tLQ1Uhe+211xAIBLB8+XLR9muuuQYf/vCH0dbWhieeeEK0b9u2bVi6dOm49RmNRhiNRjW7SBAE\nQZxkqCpk1157Lc477zzRthkzZuBnP/sZLrjgAkQiEXzve9/Dgw8+iBtuuAFbtmzBQw89hIceekjN\nbhAEQRCnEKoK2agvS0pFRQV8Ph98Ph+effZZ3HLLLbj11ltRXV2N73znO7j66qvV7AZBEARxClH2\nFFWcxFC9fv36CaMUCyV7GZdiQ+7z2XqVLKEiImcpFrn+KQjNl1QjVy+X55rInZrcSs5KwvpzS4rP\nTi5UP6eDWbtZyQdj4FITHkuh+eVFen2zfVtS31VKcqvJ9uHk86fJ+bKk/hYl4fdyZeXuD6WE3ytb\nAqZw1PKJqbmUjKjerGtCy7gQBEEQhAQSMoIgCELTkJARBEEQmkaTy7ikWQZpdtTmWrhtWJHfS8ZW\nrFOSokrqM5OpWGoTl+2vrC9O3vcmn6JKOo9s4ndy9UrbkNabPc9MOucst0/Z89PEVynFiL/Cei5r\nPyP2n5HPrDTkfGIAkObGPot0vnlkMkuzyM0NY6U+MQU+MiV+L2VLvhRerxzlWh5GivQaFkux/rSx\ne7d60IiMIAiC0DQkZARBEISm0aRpMcXqoM+EcCoz8xVeVM6sJzc0zz8dYOzYvKbOrKrynafc7pzu\nctl9kJr8JIVlMvDLmSHlwvgB8bQMLs8K0aJs+HmylMuahJAWvT/Q3in8P7ulacLjTmWyrxHLiT8X\n6eeUytovl2ZKuj8n273kM5YzQ8qZ+fKZC+XMflJzoVxZORNbPhOgEjPfZJgeyxV+n32eKQq/JwiC\nIAgxJGQEQRCEpiEhIwiCIDSNJn1kLMtg+5aNGI6EYHd64HB5YHd44HB5YbO7oNONr8/KVnbOPk5R\nadE7Wd9WTtqpiYtKbem5vjgZ35ukqE6UHkrSjrTWrLqk1cr5weTD+MXHSu350hB7LstHomfky2ZX\nleSkn4X4e5Gd3mp/e5dsvSdrqH6+kPpsv5g0zZRcKim5cHtAnFoqX/i9OJ0VJtwnrStfmLxoeRgF\nS77k82uV4jMrtB4ppYTUF+sXK2RqQTjUj+6u/RgeGsRwJITlZ14Mo9FcXIMyaFLIAOCvv/ou3t36\nz5ztDMNg3QUfxpe//RsAwGCwD7/4wa1wevxwuX1wuv1wefxweSrg9lagtnE2LJbcRMcEQRCnOhzH\nYTgSQiw6hMqaGcL2v/36BwgF+xEZDGAoHERkcACRwQEMhQfwkc98Axdd/RkAwNbXnsH9//WvwnE/\n/M0WNDTNV72fmhWyBUvXwmJzYDgSwlAkiOHIIIYiQcSGIzCaxhQ/GDiBV57/44T1fOdnL2HR8rMA\nAH/7zX3Y8spT8Piq4PXXwOPn//oqalBV24im2YvKfl4EQRDlJjoURqDvGPyVdbDa+YWNN298Epte\nfhyhgV6EAj0IBfsQDvYhlUqidkYr/u+x94Xj//yr72E4Ehq37sFgn/B/RfUMzF20GnaHB3anB2aL\nvSzno1khu+4z3xh3ezqVQiqVEN77K+txy12/QjgUwFA4gHAogHCoH+FQAIPBPnj91ULZrvb38P6O\nN8att2VuG+7//VsA+KeUr1x/Njy+KlRUN/CvqnpU1MxAVU0j/JV10Bs0e2kJgtAwyURceJgfjgzi\nr498H/293Qj0dCPQ142BvuOIRYcAAN/44d+wat1lAIDOg7vwz2d+m1Of1eaA1SoWoKs/fisAHVwe\nP5wZS5fD6YHD5YPbWymUW7JqA5as2iA6Nj4SU/N0AWhUyNIc/xoXvQEGvUHYb3P5cNbF/yJbX4rl\nfUEfufFOnHPZJzEY6EFooAfB/hMIBk4g2H8CtY2tSGVSq4RDAezduXnC+r70zYew4dKPAwB2bHsF\nu995FTX1s1DT0Iy6hmZ4/NVgCnC8yRXRyezLOz1NdO2kqa4k7UCJP01mfpp0/lfW3LAcl55kvpIu\nq2xuqiuJHyzLv6KTzE+Tm3Oml5yNTjLnLNuHJvVPSv1pLS3NmEra2ztE73PmdIn8PRK/l2RuWPYc\nr3zLrbCislK/18RzuHJTUkGVsqX4vUrxc8kdK+fLUuKrOn60E10Hd+NEdwd6j3Wi53gXeo4dQt/x\nw2idvxzffvAFAACjM+Ivv7on53izxQZvRS3S6TF/5fK1l8FbWQ+PvwYebyXcvmq4PJUwmS0A+Pvk\nKFd/6j9k+zfh/TnPvmLRpJCVi6ramaiqnZm3nNXuwnd/+SoCvd0I9B5FoKcb/b1H0XfiMPpPHEFV\nzVgd2ze9gEd//X3R8WaLDbUzWtAybym+dOcvhO3R4Qhsdqd6J0QQhCZJpZI4cbQDRzv34djhAzh2\n5CA+9OnbUF3XBICPEXjhiYfGPXYwNGbas1jt+PjNd8Pjq4Kvqh7+yjr4quphd7hzHqab57aheW6b\naFu5JkirDQlZERiNJsxbfLrwXm4OQ9ua86HT63Gi+xCOHzmInmOHEBkcQOeBXdDrxy4/y7L4xIUz\nYLHa0TBrHhqbF2BmywI0zpqPma0L4fZWlPGMCIKYCjiOEwQlGOjBg9/9PI527sXxI+1IpZKisivX\nXiII2ZyFq9Df242a+lmorpuF6vqmzIN4E5xun+i4az711Uk5l6mE4aRLOE9jYrEYbDYbfvtyBGaL\nNW/5old5liBnxsvfh9zLOxQO4vjRg0gm4ljQthYAEOw/gZuumYeR2PC49dxy18M455KPAQB6j3ch\nER9BXeNsYaqB3NQCeROlJExe1mQpX1YU1p+nbHZ/pQ8CUpNg0WUl56aXls3OwM9ITYsT1ys1QzI5\n77Oug/T6KlhxO5t8qbg4mXB2TpqlPuu9XOooQD49lDS1FCsy6+XLaD9+35WWld69lJgL5TPci98X\naxLM7u9QOIj2fTvQsW8HOg+8i84Du+CvbsDXf/gEACA+EsVHzvII6duqaptQ3zQXdY2zUdc4G8vP\nuBjV9eNPAyllhWhWJQUoVEniIzH8yzlORKNRWK357+OFQCOyKcDh8mL2gpWibd6KGvx+4wACvUdx\n9NBeHO54D4c73seRjvdxuP09NMycI5R95s8/xWO/vQ8Wqx2z5izB7AUrMPu05Zg9fzlqZ7ROOI+O\nIIjJ5+k//QSP//5+9B7rzNkXGugV/jdbbLjte39GVV0T6mfOgclM04IKhYRsGqHT6VBZ04jKmkYs\nPf0CYTvLip+TTWYrKqoa0N97FHvefRN73n1T2Dd/yRm455cbAfBmi+hwGA6ne5LOgCBOPViWxeGO\n97B35xbs27UF+3Zvwae/+F2sXHsJAP532HusEyazBU2ti9A8byma5yxB0+zFmNGyUFTXmnOuFP7X\njq1s6iEh0wA6nU4kZB/77Dfxsc9+E4PBPhzc8w4OvL8N7Xu24cD7b6OxeYFQru/EYfzrB+ZgZutC\nnNZ2Jha0nYGFy8+Cv7Ju8k+CIE4iWJbFXx/+Pt7f8Sb27NyUM6dq787NgpCtPf9aLF5xDhqa5uVM\ny5FblJMoHE36yH79zyGYzOrYVkdR2w82cdnC65UNsR+nTY7jkEomYDLzc0jefuM5/PeXr85xGtc3\nzsFpy9bhY5+9C76KqoL7Wy5/Wm690vB2mX05vq2J9+UeO/Eq1TnHyvi95PxpUuRWw85dVVtumREl\nKxhPnPJJzdWZxeH3mHCf9Nh8aadYrvx+L7m7YDqVwv7338aB97bi8o98XujvzR9ciO6ufQD4ib/z\nFp+OuYtWY86iNZg1e4koMcNYOzKfqZJlWhSVnXr/WTaJeAyf2OBQ1UdGQpbhZBCy8dqIj8RwcM/b\neH/H69iz/XW8v+N1jMSGYTCa8Pt/9MJq4+3wLz35CHyVtXzGlKyUXSRkmWNJyE4ZIeM4Dt1d+7F9\n80t4961/YNfbryI6HAYA/PKpDvgzqZpezWQMmr/kDFTWNE7YjrgPJGTlEDIyLZ7kmC1WnLZ0LU5b\nuhb4ND8/5dDed3Ds8EFYrHYAHNLpNH7xw69gOBKC0WTGaW1rseyMC7DizIswY9a8giZvE8TJQNfB\n3fivW65C73FxEum6xtlYvPIccNyY7J514Ucmu3vEBNCILMPJOiIbt15JPbHoEP7yq+/inU0von3v\ndlHZ6vpZuPk/foJlp59PI7IJ+0cjMumxWhiRdR/uwJZXn0YiHsOHPn07AGAkNozrNlTDanNi6epz\n0bb6PCxZvQGV1WNJDvL5tWhEJg+ZFjNC9tCLwwUJmewSKgpQIj5qCVVuvfLnUnQ6K0m94VAfdmx5\nCe+8+Ry2b3oB4VA/7v/925g1ezEAYPPGJxCLDmHlukvhdLkldWW3mWcemUgYpP2VmXslKauXEUGp\nMCgpmyuCWftyRLq4uWJKHoDy3YxEy5fIzDEDxOKUa26bOJ2VtJ60VFSUlM025eVNZzVxWSV+r3Sa\nw8E927B545N469WncbjjPQCA3eHGr188IQRidHfuQ82M2aJpLMUKUN40WQpEpnxCV3hZOQpdSiYR\nj+H68+1kWiTKh9tbibMvug5nX3Qd0uk0Du19G02tY1n///rIPdi/+y3o9QYsWrEea9Z/AGvOvhz+\nqvop7DVByLPtjefwk7v/DYHebmGbze7C8jMvxsq1l4DlxrJM1jfNpdB3jUFCRkyIXq/HnNNWCe85\njsP6iz8Ks8WG97a/hh1bXsKOLS/hf7/3BcxdtBrXfvqrWH325VPYY4IAEvERbN/yEnSMHivWXgwA\nqKxuQKC3GxVVDVi9/gNYc/YVWLB0LYxGEwAKg9c6mhSyVBrQZZKTy5nN5PwIUsplPpSSbTaTW415\nnFYLLiu9JrntZJvq5E8muy6GAS7+0M24+EM3IxwK4O03nsWWjU9g++YXsG/XFgxHo8IKAT1HO8CA\nQU1Dc06b0nalpkRW0ic50yKXYwJksv6X1Ct5yhans5L42iQmNjkzpKy/Us5XWMJTvzLfUOEmQDnf\nVikrLkvTWallLhxtMxEfwfbNL+L1l/6Ct157GrHhCFoXrEDbGfxcrrpZC3Hfb7eiafYS4TvCcYyQ\n0T2f2U4c1Sj/mynF1Fho2claEVo9s+PY/6n0xOWKRZNCRkw9Lo8f51z6cZxz6ccxEhvGO28+h6Vr\nzhf2//mh/8Y/nnoEsxeswNrzr8Xa869GVVaIMkGowYH3tuLpPz+ALa88JYTIA3wm99VnX8FnxdHp\nwDAMZs1pm7qOEmWFhIwoGYvVjjPOvUY02jCZLLBY7Tjw/jYceH8bfnX/VzF30WqsPe+DWHf+B1FR\nTT41QjmpVBLRoTBcHj8A4Hh3B15+9ncAgJZ5S3HGuR/EGeddg9qGFvJznUJoMmrx/54bi1osJWw+\nm6kwLZarD/muidi0KF9WbFosPHJSB34y9rY3nsXrL/0VW197Bok4vzLshz79VXzyc9/OaqP4CMec\njPYy/ZWmUpY1LcqUVc20WAKnkmkxmWKx++1X8eoLf8ab/3wcq8+6DF+88+cAgOjwMJ78w/9g3fkf\nQl3jbEmmfMgiXrAzX9nxjxsPMi3mkn1NEvEYbryIohaRZvkXAMiZW6dC5PK1me23U1M8lfneJu6D\nnH8tdymWiY/lGA4GsxVrNlyDNRuuwUhsGG+//ixef+kvOOO8Dwu+tKf/9BNsffVprLvgWpy+/ko4\n3T6F/jTxisbZwqGXLEvN5ogKM+7/gHpCNlnrEMgFK5QiZHLilLOsCys3BUDS3zx+L5ZlsW/XZrz2\n4p/x+ot/RWigR9h/tGs/kmn+MzNZHfjg9V/j2+fkxWki/9p45Du20H35BKdcolKuUH012kyXIbJG\nkyOyB58tdB6ZOu2Wb26YemWLHenlEzJx2XyTnCcuO1G7//GvZwvZ+w0GI5auuQBrz78Gq8++HHaH\nO6cdJaM3qZDJjY6UjN5IyHLrAdQVsj8/9N/47YP/KWyraWjB2vM/hLXnX4vGloUTBimRkI22W556\n1WgzEY/h3y6hERlxEnHHfY9jy8bH8doLf8bOrf/E1tefwdbXn4HBaMJ1n/k6rr3+9qnuIlFGOI7D\ngfffwRsv/RWNzQuw4bKPAwBWrrsUzz36f7x4XXAtWuYvB8Mw5PcixoWEjJhSHC4vzv/Ap3H+Bz6N\nYKAHm15+DK+/+Be8t/01VGaSswJA+97tONzxPtacdSnstL6apuE4Dvvfextv/ONRvP7S39DTfQgA\nMHfRakHImloX4RdPtUOnkyYAI4hcNClkhc8jKxy1zHz5pkjIm+4K70OuL6tw35ucqU7evyY/l006\n50yu7HjHOb01uODqf8OF13wWA/3HYbO7kGIZMAzw9F/+Dy8+/ksYDEa0rT4Pp2+4CqvPuhxur1/S\nTrZpqfggEiVpsqRMhqlRiSkxd3/W/5OUHmq0T/94+tf4/c/uQt+Jw8I+r78GazZchTPP/RBSLJMp\ny5dnWWXBE0pMi4Xu4+ua+NyU1KWWya+UHIhTHexB88iIUwZfRa3o/fwlZ+D4kYN4f/tr2PbG37Ht\njb/jAZ0Opy1dhwuuuh7rL7puinpKTEQiPoKdW1+Gv6oOTbPbAAA6nR59Jw7DV1mHNedciTM2XIN5\nS86EXq+Xr4wgZCAhIzTBhss+gQ2XfQLhgV5s3vgENr38GHZufRm73n4FcxeNpdEKBnpwovsQ5py2\nEjrDZIVaEKMEAz3Y+vrf8darT2PHln9gJDaMC6+6ATd/7X8BAKvPuhz3/PJVtC5cLSTlJb8XUSqa\nFDKW5V9A+cyHxR6XP/y+uHqlZaWj82JNljppOihFEY4TmyWlUWVyZsh80wWy3zs81Tjvyhtx3pU3\nYjgSwvZNf8esuW1COP/G5/6MX97373C6/Vi25nwsO+MiLDv9Ari9lYrC+tMyZlS5jPbj9T8btVZk\nkIuGy2v6ksl+L9eOnBnvub/9HM8//gu073lHVKZ5bhsamk8TPh+TzY3WhWeA5QA2nb/e3P5Iy8q/\nn+hc8pXNNZsWXrbQ4/IdW0rZyYhaLPY4tgxOT00KGUEAgN3pwTrJ4oYGownVdbPQc+wQXnn+j3jl\n+T+CYRi0zFuK08+5kqIgS4TjOBw/2o5333oZS9dcgOq6JgBA7/EutO95ByazBYtWnIMVay/FirWX\noqK6IXPcFHaaOOkhISNOKi7+4Gdx0TX/D8e69uOdN5/D228+h/e2v4aDe96Bv7JOKDcyEsVjv/kB\nFi0/G3NOWwmr1TKFvZ6+cByHE0c7sOud17Br2yvY9far6O85AgD411t/gA9c9wUAwLmXfQLz29Zi\n4fKzYbZYSbiISYWEjDjpYBgG9U1zMaNpLq746BcRH4nive2vw2KzCWX27dyM3//sWwC+BYPBiJZ5\nS7Gg7XTMX3I65ixYjsqaGXlXBjgZSSbiMJrMwvubP7wUh9vfF5Vxun1YvGI96mfOFbbVz5yD2plz\nJq2fBJGNJoUsmQJGMxOplr2jhLgAOX9PTjsqhfkrSSUlV28pvjapf02urJx/TS6FlnS/tH9y7YyW\n1ZvsWLz6QgBAMnPCDm8tLvvI57H77VfQdXAX9u1+C/t2v4XHfns/AOCRvx+Bt6IGALBv9xa4PBWo\nrpuVyaRefP7EyfCRSZnIBxUdjqDz4E507t+Jjn07cOD9bTjatQ+//UcvzBZe9CtrmhAK9GL+kjOx\ncPl6nLbsbDS2LBQCNVJZX7xsv0w+v5dcWbn+5/NzKfFXFevbKlf4/XTwl+W0o5I/K7sPyZQ6dWaj\nSSEjiFJpbD4NN9x6HwAgOhTG/ve2YO/OTdi3azNCgR5BxADgh3d+GscOH4DV7sSMWfPROGs+GlsW\noKFpLprntqGiqm6iZqYcjuMQDPQinUoK/qr3330Dt//r+nHL63Q6HO3ci5Z5ywAAt3zr17DZXZms\nGqfeCJXQBiRkxCmPzeHC0jXni9ZTGyWdTqO2oQWx4QiCgRPYv/st7N/9lrD/Ezd/C9defxsA4L3t\nb+C5x36ByuoGVFTPgNdfDY+/Gl5fFdy+KlisdulgsyRSyST0BoNgAn1n04vo2LcDfT1H0XfiMPpO\nHMGJox2IRYew/uKP4t+/9TAAwOUem0TePLcNs+YswazZi9E6fxma5i7l+5lhNN8lQUxnSMgIQga9\nXo87738KABAa6MWRQ3twtHMPjnTswdHOfZg1Z4lQtn3vdrz8zO/GrUen0+GJt2LC++/c9lEM9B2H\n2WKF2WyFTm+ATq+HXm/A6rMuxfqLPgwAOLR/F3714zsQH4khPhLFSGwYw0NhDEdCGIkN41fPtAup\nvJ79y/9i8ytP5bRtd7ihN4z91Osa5+D+321Dw6z5MBpNorKUDorQIpoUsrLMI5OpKJ8PJNvPpCj7\nvQK/nJxPDFA2/6tc9RbrXyslpZZcQEa+/ik9N4enGvOXVmP+0vWifck036fFqy/AzXf8DP09R9Hf\ncwShgV4MDvRgMNgHlk0jxeqQKYqDe3bgxNH2cdt2+2pwxvl8ppKBUAjb3nh+3HI6nQ7hcASeSr6z\ny868FFX1LajIjAgramaguq4ZDpcfDMMI/kEAmNHaBgBISJyk8nOrJvZz5T9W/L7YlE+l+LlKS1FV\n3LGl1JtTl4Kb3ak2j0yTy7jc85fClnGRMh0mRIvqLUHIcupSSchKqVeZkBXWhnR/vmVclPRPdkFM\nRedW+E9otN7Og7sQHRoURlpsOgU2nUaaTaNuRitmn7YSABAO9WP/7rdgtthgtlhhMlthd3pgs3tg\ntTsLiqxUb7kSEjKlx5KQ5ZKIx/DVD9EyLgSheZpaFxVUzuWpwIq1l+Rs187jJ0GUH00KWSrFgdHn\n/pJLCcUvLfw+K+N2vnay+5incLFh8jn1yJxbKeY2ubqUjbKUlJUvzMj0ITf0vVjzZs5emeMmR3GU\nRBQWG/qeW8/EofBKRiJqlpUbvcmVzbdPdkSm0kipfOH3xX8HSwm/n+hcUyn1fxOUVZUgCILQNCRk\nBEEQhKYhISMIgiA0jSZ9ZCzLgR3HAKssFD9P3LnsseL3aZllPcoXxVh42Ln03IpOUZWnf5PhIyvN\nTyfeUOzSN/n7kP19mPxsGPnSVxUbZafE56Sk7JT5yGR+8+VLUVW4f2i6RSnyx5bu3xrv3l0qNCIj\nCIIgNA0JGUEQBKFpSMgIgiAITaNJH1kqzYEpYC6CfNYD+eOLzQKikzwayJm5lfjp8vnlivVtSX1t\nsimqZHxtfJ8K64+0T1OVXaTQfcrrnV5Z4tXye5VSr1rZL/L5jcqXgWPiAsX62gppV1y28MLFpoGa\nDP9ZKk0+MoIgCIIQQUJGEARBaBpNmhaTKQ7Q8cNT+ZRFhSeFVYLUfJhNviG92JxYvHlTkQmTLT6F\nklomy9w+ZfdBtqiiPpTLtFhoG6XUWwrlWjFYNdOiSua36WgCVMvkVy4zo5I+5G+3yDazDkyWIUWV\nJoUMAI4d2o5UcgQOVwVszgpYbB5h+XWCIAhi6kkmYohG+jEU7oPdVQWXr74s7agqZLfffjueeeYZ\ndHV1wW63Y/369bjnnnswY8YMoczhw4dx00034ZVXXoHZbMZHPvIR3HfffTCZTDI15/LSn+5Ax+6X\nhPcMo4PN6YfNUYG5yy/DBR/5DgAgHotgx2u/ht1VBbu7Gg5XJeyuKlgdXhI+giAIBSQTMQwP9mI4\n3IuhwV6kkiM4bfU1wv4//ujDCPV3IhoJYDjSh2Q8Kuzb8KG7cNYV/1GWfqkqZAzD4OGHH8aiRYsQ\njUZx00034fLLL8eOHTsAACzL4rLLLkNbWxu6u7sRDAZx+eWX4ytf+Qruv/9+RW1V1s1DPDaI2NAA\nhsN9iMfCGA73YTjch4bWlUK5UH8XnnnkSznH6/QG2F1V+Ogtf0FD6yoAwIF3X0D/sb1weGvhdNfA\n6amB01sHk8WeczxBEMTJAMumMTzYi0joOCKhE4iEjqN5wXr4qlsAANte/iVee/JeDId7EI9FRMda\nHT6RkB3v3I5g3yHhvV5vhM1VCavDB4vNU7ZzUFXI/vu//1v432Qy4atf/SqWLl2KYDAIr9eL1157\nDXv27ME///lPuFwuuFwufOtb38JHP/pRfO9734PFYimoHTbN4cKP/UC0LZ1KIDY0gOhQAAajBakU\nbwjWG2xYfs5nEI30Z54iejAc6UM8OohI8Bh0BquwrMDON/+MHa89ktOe2epC0/yzcN2tfwPAh4++\n9eKDcHpq4PI1wOWrh8NTA51On9c3VKzfLscnJhuqL62o8MUoS/G9iVNfqTM9gD9WxsdXwsrepfSp\n0HqmA2ot3li+UH35itVKJTVZvqyp8Jnl1Js5eCQaRjh4FOGBbgBA66LzAQCJkWH86u5zEQkex/Bg\nDzjJRb7iM7+Ay9/Ml43HMdBzEACg0xthd1XB4a7irVyuaiSTaeGec8WND/Hi5fTD5qyEyeIQ3Y/Y\nNAe2DOH3ZfWRvfDCC5g5cya8Xi8AYMeOHWhubkZFRYVQZuXKlYhGo9i/fz8WL14sOj6ZTCKVSgnv\nY7HYhG3pDSY4PDVweGpE2z2VTbj0Uz8BIL7Bp5JxDId74XCPlW9ZdB6MZhuGMk8mQ6ETiAweRzwW\nRiqZEMqNREP4+6+/JGqH0enh9NTC5avHedd+G82nrQcABPs6EQ33wV3RCLurqqAVfQmCIPKRiEcR\nDhyBy9cgWI3e3vgQdm/6CwYHePFKjIyNoKobFwlCZjTb0Hv0PaSTcQCAzVkBh6cGTnctHJ4aeCqb\nhONOW/VBNC84B3Z3NSw2j3APG0+wG+ecUa7TlaVsQvbSSy/hrrvuwqOPPipsC4fD8Hg8onKjIhcO\nh3PquPvuu3HXXXeVpX8Goxlu/wzRtoVrPoyFaz4s2sZxHEZiQaQSYyLKsmmsOPf/ITxwFJHgMYSD\nxzA82IPwwFGEB46CZcfE952Nv8Irj38nq81GuCsa4a2YiYr6eTjzkltEbZHQEQSRzUh0EDte+w1C\nfV0I9R9GKNCFwf7DGA73AQA+9bUX0HzaOQCAYO8htGfFDhjNNri89XD66lFZP1/YzjAMbvjPV2Fz\n+uFw1UBvmDhGwe6qhN1VWaazU4eyCNnTTz+Nf/mXf8Fvf/tbXHTRRcJ2l8uFUCgkKhsMBoV9Uu64\n4w7cdtttwvtYLAa/31+OLk8IwzCwOXyibXZnBS779I9F21KpBCID3YgEj6F6xkJhu83pR83MJRjs\nP4zYcBCBEwcQOHEAAFDVcJogZBzH4XufrYXF7oWvaha8VU3wVjXDW9kEb9UsVDXMhdniKPPZEgQx\nWaTTKQR7D2OgtwPB3g4Eezsx0HsIob5DqKibh2v+7WEAAJtO4dlf35JzvF5vhMvXgFRmVAUAi8/4\nCGbMPh1OXz1cvgZY7d4JH47rZi0FUNoq0NMF1YXsd7/7HW666Sb8+c9/xoUXXija19bWhkOHDiEQ\nCAiCtG3bNthsNsyZMyenLqPRCKPRmLM9leLA6HKHtfkHMzL+KTlHR54PWscAOsYIt78Jbn9Tpo/8\nQSvP+xxWnvc5AHwE5WDgCAYzT1QGkxXpjL141L8XHQoI9uhsPvCvP8Oy9Z8GAHTueRUdu/8Bb3UL\nfJmXy1OT9YVVb36a+Dj1fG+i42TmufH1FrdMTknL4kjWtyl2oDwd55EpOU6tZUdKWxZl4gLl8mWp\n5buKx6MI9nZgoKcdAz3tWHzmx+BwVwEA/vbgDdj5xu/HPS4Rjwn3BpPVi5Xn3QSXr16w6Hj8jXC4\na8Bkflij9xtfzXz4asZGXhwLpEtwtnElLLkyUbOp6T6P7Cc/+Qm+8Y1v4Omnn8a6dety9q9btw7z\n5s3Dv//7v+PHP/4xgsEg/vM//xM33HBDwYEeWsZsdaKqYQGqGhYAEAuD1eHD134eQqi/E8G+ToT6\nOhHsPYRgH/+05q8dE/r2XS/itSe/J6rbZHHAV92CmsbFuPqzDwnbY8MhWGxuMlkSRJnIdgkMDfbg\nn3/9JvqPH8BATzvCA0dFZatnLIJj0XkAwD+A+hoylpdZ8FbNgrdyFjyVs+DN8lExDINLPvEjVdYC\nO1lRVcg+//nPw2Aw4OKLLxZt//vf/45169ZBp9Phqaeewk033YTa2lqYzWZcd911+P73v69mNzSL\n0WxDZf0CVNYvyNmXPbpoWXQ+GJ0eAz3tCPZ2IHDiIEaGgzjR9a7oMYjjOPzg803Q6Y3w185GRc1s\n+GvnoKJuDipqZqOibi6MJutknBpBaBqWZREeOIrA8QPoO7YP/cf3Z9wEB1E9YyE+eisfC6A3mLDt\nn78QjtPpDfBUNsFXxVtO7JnRGACcfdXXcfaV35j0czkZUVXICnlimDlzJp555pmS2kmnWejSpRl2\nc0YoCkJCdRJ7lnyGe7ma8pgAs9vJaqRh9jo0zhGPeGNDAwj0HEQ6GRfMDNFIPxidHiPRELrbt6K7\nfavomA/c8H9Yds6nAABHDm7B8UPv8EJXOxcuX33ONSolS728ybI89eaaB4tP1SXHyRR+L2U6pGYq\nlwlwPLNpYmQYgRP70X9sH1oWnQ+bk3eBPP6zz2DHa78etx6d3iD85oxmNy755I/hqZgJX3UrPBUz\nodOP3WZZTmpay3rwLIMZbzxKWaFZjVFhusR793hoNkUVIcbq8KHBsUq0zeaswFcf7EU00oeA8AS5\nH4Hj+9F/Yr8oimnvtsfxxtNjc/OMZjsq6uaionYuapvacMYluc5mgtAy8VgEO9/4PfqP7UP/8X3o\nO7YX4cARYf/HvvIUZi/h/fze6hbYnJWoqJ0Df+0c+GvmwF/TCn/NHHgqZ4nqXbHhxkk9D4KE7KSH\nYRg43NVwuKsxc16u33KUhtY1WLb+euFHHY304/ihd3D80DvoP7ZXEDKWZfHT/1gGT8VMVNbPE8Su\nsn4+7E7fhPUTxGSTTiUx0NuO/mP7eHPgsT2wOvy4+F/uBcCPLp55+POiY3R6I3zVLaiomwuz1Sls\nX3fZbTjrA+OnVyLf1dRDQkYAAOavuALzV1whvI9GAug/vh/9x/aK/GjhwBH0Hn0PvUffw/4dz4rq\nsLsqcfX/+yXmLOV9pIOBo0inEvBUzoROp5+cEyFOOWLDIRiMFhhNfMDYpud+jLde+j8M9BwEm06J\nynorZwlCZrG5sOaiL8DpqYW/dg4q6+fBUzkLen3ubZGhvKzTGk0KWSrJgpHLTZRBNqQ+b4j6xMem\nZfxppXzflfjtpH46cT3SLcqnHZisPtQ1r0FDyxoAmdQy4GBz1eKzd29HIGOK6T++lzdVHt+H4XAf\nTDaf4AN449n/waa//xB6oxn+6lZU1M3N+ODmoKrhNNQ28fNYSvG9SSnFF1dsWSV9mAwma5mOYn1X\nSttkOQ4syyLUdyjzcLUv853LfO8Ge3DdrY9jTtslAIB4LIr+Y3sBhoGnYmbmOzcPFXX8a9SfBQAX\nXPf9TBtjfRkvPFyJ/0o2HZeieiZ/qZZS2iz0GqWS5CMjphid3iBMIZiftZ3jOAyFjsHmHMsAoDeY\n4PTWIRI8JoziRqlrXoEb/+tNAHymlKd/9Tn4qlszfofZ8FW3wGA0T9ZpEdMA/jt0AoETBxE4sR8c\nx2HFhn8FACQTUfzPv88f9ziDyYpopF94v/jMj6J1yYXwVbXCaLZNSt+JqYWEjFAFhmHg8jWItp37\noW/h3A99C/FYBIEe3kw5+iRdkTUvLtTfJQpZHq3P7W+Er6YVF3zk26hvXgEAiA0FoTeaYaIblCZh\nWRYcxwrmu/e3PoGdb/4RAz0HEThxEImRIaGs298oCJnZ4kB9yyqYLA4h4KKibi4qqufC5WsQmf74\nRN4N5Ls6hSAhI8qO2epEffNy1DcvH3e/xerGpZ+8PzM35yAGeg4i2HsIof4uhPq7AHxbKPvPR/8L\nm5//CZzeOviqZmXm6DTDW9WEirq5mDln9SSdFTERLJvG8c5dCPZ18RP8ew8J6ZeCvR340Od+gwUr\nrwQADJw4iPe2/FU41mr3wl8zmx+Z184VidFn7no9p62TIb0SUTqaFLJ0igWj47/B8qmlCn8iy5d+\nSQ7RdK/0xOVy2szpu9wSL+KypfjpRHXlmT9Xbl8cwKfgWb7hs6Jt6VQCof5OBE4chKdqLpIZu3p8\nJAqd3ohI8BgiwWPo2veGcEzjnDNx/X++DIDPffmb714Mt38G3BWNcPtmwOWrz7waYHX4oFfgzDpZ\nE6Momn/EcUgl44gEj2Wyqx9FOHAUgwNHYTLbcP5H+GWcUskkfnrHqgkrD/YdET7P5sUX4UpnNXw1\nrfBVt8DmEOdSTac5+fRW09B3pcw/qCQFWHEjzNLmEaozqs3uezpFPjLiFEFvMGXm6ohzcH7ghv/F\nZZ9+AOHAEQT7OhHsO4RgbzsG+w/DXztXKBcOHEHX3tcmrP8jt/wVCzJRmu9vfQyde16FI7OYqt1d\nlcn4za+5NBoNd7LCsixiwwOIhvswJKz+24NI6ASWnvUJwQz8jz9/Iyc12iguX4MgZAajGU3zzobR\nZIW7YqaQemn0r9nqEm6QlXXzUVk3vu+LIAqFhIzQHDqdHp7KJngqmzAL68ct43DX4BO3P5dJ0nwY\ngwF+BDEYOIJI8Bic3nqhbMd7L+OtFx8ctx5/zWx88QfvC+9/e+9VMJqssNq9sNg9sNjcsFhdMNvc\nmNG6Gr5qfjHCkWgY8dggDEYrjGYbDEYLdCqHM3Ich3Q6iWQ8ilQiBpuzAnoDn2T7WOd2BHsPYSQ6\niHh0ECPRMEYyK6r7qltwztVfB8DnBvz+zY05CyuOUtvUJgiZxe6FTm+Aw10Dl78BLm893P4ZcPkb\nRLkBAeCT//GCqudKEHJoUsjSaQ7MqElMQWopJdnQ5ZBmSpdNUVWC6VNsTsxjAlRg3pSfliDXB0mb\nCq6nfD1K+lNYWi+dwYbGeedMWI7jOCEMe/7KD8Jd0YShwR4MhU5gONzLj07CvXB4aoVy6VQS+955\nesI6L/v0g1h+Dp/lYcfrf8QzD98s2q/TG6A3mGE02fCVB7qF7X/44VXoP7YPjE4HBgxvx+Q4cByL\nRWdch7Ov5EWnu30rfn/flUin4kinEkil4iJ72U3//a6QreX1p3+IXW/+Ydx+NrSuwdrLvwaAT6nE\ncSzMNjccrirYXPxo1OGqgsNTC1/1XOH8l2+4CavO/+KEc6qyw9bzmcHUSqmkXpqs8pj4FK3OPUlZ\n6pWsaCDfZnHHyblFikWTQkYQpZItrDPnrsXMuWsLOuajX34K8WgIsaEgYtEgP9qJhRGPDsJfO1so\nO7pWVDIeRTIRRSo5AjadyrySonqDvYfGXboHAIYGe4X/OXCIRvrEfdLpYTLbYTBZRQu61s1agWQ8\nCovNDZPVJYwarXafKLpUbzDhjl8OCSM5OWg6BDFdYTgNxajGYjHYbDZ89rsnYCgia3u5RmTybRYf\nJaBk6RUlzWh7RJZnv4K6iv1oilkSh+M4pFOJzCsOm7NC2Bfq6xRGVxzHZpYF0YFhGFjsXjjc1QD4\nAJjYcBB6gwkGgxl6o7mojCnF/uQVjS5oRMa3SSOyHFKJGP739hpEo1FYreqsvkEjMoKYBBiGgcFo\nzoxqnKJ9Hol/aSL0BpMgagRBjKFJIUul0gCTP8495+lcQWi83CiBVRAmXy4fXkl+OpmnNyXTEORX\nZy5+aoEcao0Cc+tVMsoqfgXuyUBNG0u5UipNRYh6uUZH5RoNlTJHruhRdylLvBSaoiql4EZcIJQJ\nkyAIgtA0JGQEQRCEpiEhIwiCIDSN5n1ksn6QEnxiilJNFekUUeLDy+mfghRaSvon56dTbf6ctOw0\niM7MOXYSHF1K/H2lLM2ihMmLnFNQ7xT4q5T4p0pbbqX8Kaomq3+F9oF8ZARBEAQhgYSMIAiC0DSa\nNC2m0xwY3ehQtbgs9VJKy1qv4FhR5nn5stnmxHKZOksxb6rXh4KLTtpk9Jy6pjqmvkyomQ9hOoSh\nK5sCUB6z3mSEvk+WCViOYqspR4oqGpERBEEQmoaEjCAIgtA0JGQEQRCEptGkjyyVTAFI5S2nJFxc\niqx/RZE/TfqsoI5PL7edIv1XKqXtkm0jX1kliX6nQUi9Wsmnp4pSUh+J6pmGYefl8pEV20a5piTk\ntqPOh1qK/6xQvyd//1YXjf8kCYIgiFMdEjKCIAhC05CQEQRBEJpGkz6ydDINBvlTVJXkEysyi0pu\nPYX3oqQUUCX57eT6lNWfPG0UO2+rfMutFN+OonpVnK9WDtSaN5RT72T5yIpsp2wps0rwR03WAphq\nfeaq1ZN1LukkpagiCIIgCBEkZARBEISm0aZpMc2B0ZUWbpq7knPhx8qat0pIJVU+U6J65k5F7RR8\nXHGmzlIpl0lwqtNZqZl2SlSviibKyTDlacGMNxmpr6SUtAq0Cn2gFFUEQRAEIYGEjCAIgtA0JGQE\nQRCEptGmjyxVXIqqYpH6cCZryRdRPaWEqJfJb5dzrJIUVtlly+SzU9SHSUKJP1AOtVISKWtTTR9Z\n+UPqS/JdTfOpBTn1lOSnU+e7VOhnyt+/1YVGZARBEISmISEjCIIgNI0mTYsAEOzZhXRqBEazC0az\nEyazG3qjbcpDnwmCIAiATSeRjIeRiIeRzLz8tcvA6PSqt6VJIUsn09j1+vfRd+QN0XZGZ4DR7EJ9\ny0VoW38XWADxWBB73/oxTBY3jBY3TGYPjGYXTBYPTBYPbM566A3mnDaK9eGoleoKKN4fxCrww5Ti\nJyrbXDwZWI37yEr6QkwxavrIivUNTdUcKGW+ueJ8TqXMZcvtg/o+yHDgAEaifUiMhJCMDyIxMohE\nPITkyCAq6lehcd5VAIDA8bfx5pM3IJUczqlj/bWPw+ltLqpvcmhSyADA5ZuDdCqGZDySUftBpFMj\nSMQGkE6NCOXi0T507PrNhPWsvfK3qGxYDQDY//bP0N3+PEwWD8xWryB2o4JX23yucFw6NQK9wVK+\nEyQIglARjk0jER+ETm+C0eQAAAwG9qOncyPisSASI0FenEaCSIyEkEoM48JPviI8sG594VaEA3vH\nr5zRCUKmN1h4EWN0MJpcMFlcvOXM5IJOVx7J0ayQLVr7HwDEo4J0Oo7kSBhM1sqHZqsfi9bdgeRI\nWHh6SMQHkRgJITEyCLPNJ5SNhA4h1Ltr3PbclQsEIeM4Dk8+uAQ6vREmixcmqxdmixcmqw9mmxeN\nc6+Ar7YNADAS7Uc8GoDZ6ofJ6inbB0kQxKkDx3FIJYcRjw0gER0Ay6ZQUb9C2PfOP76GeDSA+EgQ\niSyRAjgsOftOtCz5OAAg1Lsbu9+4Z8J20skoDCY7AMBbvZh/sDe7YBx9yDe7YDS74fLPFY5x+efi\nss+8A4PJLtyLRUmDswYaaqHJu2o6lcb4Jho9DCYvgLFVSPVGN5oW/EtOyWyzUjrN1zVv5Rcwc/61\nGZELZYbQ/F+zrVKoM5kYAqPTI50aQWzoOGJDx0V1eyoWwV2xCABw+P0nsev1u0dbhdHshtnqhdnq\ng9lWiZUX3i+Ice+R18EwepitfphtfpgshQufaqZQBZQSCq/E/JmNmuZA8qcqQ83UV8WbvooPFZ+K\nNFSFHjcmTAHEowNIjAxgJNqPqhnrYHPWAgAO7f4DOt/7ExIjA4jHBsCmE8LxNlcDLvj4P4X33Qdf\nQDIekrTC33/S6ZRwL3N45qBlyadhsnh4cTJ7RJYo6EzC/XHJ2f8lez7ZKz8zOivSKRbjTeDh79/q\nokkhKxcWezUs9uq85YwmBy79zLtIp6L8EDw+yD8ZjYQQHxmAt3qxUFZvsMDhbUYiNoDEyCCScV4c\nh0KHYLL6RDfTHS9/A9FId1ZLTMbM6UPzon9B82JekKPhbvQcfgUmq58XPasfFkcFjCYn3ZwJYpqQ\nTsX5UVF0gBeoWIC3ztgq0DjvSgC8xWbjX65BPBoAm47n1LHq4gcEIUuMhDDY/76wT2+wwmThH4pt\nrnrRcUvOvhM6vRFmiw8Gs4e3HJldOYEW7op5cFfMU/nMJx8SsiJhGAYGox0Gox0694wJyzWd9mE0\nnfZhABkb9UgI8dgA4iMDYFPiL66/bhVsQ8cQj/YLwsibBIIix2mwdxd2bLwzpy2dzgiT1YcN1z0J\ni80PAOja8zfEYwMZwfPBYquA2cb/r9Ob1LgUBHFKwHEckvGwIEjxaD9GRv+PBTB/9RdgsVUAALa9\n8GUc3vv4uPX461YIQmY0ORCLHAPAP/SarRUwW328m8Lqg8VWJRw3Y+6VqJpxZsZN4YPBaJ2wrw2z\nLxX+Z6dg8vxkQ0I2iTA6PS8iGZGRsuJ8sa2aZVO8mMUG+GF+BquzFk0LPoz4yEBG9PgfUyo5jJHh\nHpjMTqHsod1/xMDxd8Ztr3H+NVh5Id/myHAf9mz5sWDWtNgqMj4/Pyw2P4xmN432iJOS2FAPRoZ7\nBUEaiY6Onvrhr12O5sUfBQAMnNiOV/5y7YT1zFzwQUHIDEZ7lpuAFyaLtQImqx9OX4twjN5gwQWf\n+CfMVj8MRpuoPqkp1+asFUZnhBhNClkqmQLHFZCiSqXlVqTkpqxS4JNSKAYGowcGowfAmA3a5TsN\ni89emFM2nRrhbeesDizLl50x50p4Khfxo8BYAIlYgB/txQZgMNiE1VojA4fRsfN3E/bj7A/+Bb6a\nNgBAx87fInDiHd7PZ/VlTJyZJ0h7NeyuhrznVewyPOUKmVcz9dXJhJoh4dmU2+cUjwUQ6nsfidhA\n5rs/kPUbGMC6q34HJuN/3vTUTQj27Bi3HjaVwsz5vEXFZPbBYHIIIyJzlmnfbPXBZPYLv9H5a76K\n0868QxR4lt3/bH+S2Vqbsy3vdSjJ31eeEVqhUyPKkaJKk0JGjI/eYIHNWSfaNnNB7hOkTqcDx7Fg\n00lhm9VZi8XrviH82OPR/syIbwDxWD9M1rHozv5jb6H74N/H7YO/dgXOuuYPAPgo0o1/vkaw4wvR\nnRYvzDYf/HUrhCdMjk0DjI5GfYQAy6aQSgyJrBGH9z6G2HBvJhJvYCxsPDaA5iWfQOuSTwEA+rvf\nwlvPfWHCuhMjQZhtlQAAp68VbDouFiibH2ZrBZzesdGT3d2Iyz7zTkGmuvHmphLlg4TsFIVhdKIf\nm9VejebFHy/o2NalN6CmacOYAzszwovHBuDyzxHKJWIDCAf2TVjP6kt/KgjZvrd/hr1v/WQsYsrs\nhsnqhdHshtVRgwVrvigc139sG/R6UyarixtGs5OmNUxTOI5DOhkVZXdIjAzCXbFA+OyPH3oZR/Y9\nORYpPPo3EYHZ6sOln3lLqO/9LT8SfEpSYkMnhP9trhmobDidFyaLD2abL0uofDCa3ULZZRu+U6az\nJyYL+vUTivFVL4GveknecmarH+d8+InME3MwJ4DF4W4UyibjEbDpBEaGezEy3Cuqx+aaIRKyTU/+\nPyRGQqIyBqMdRrMTc1fehJYlHwPApzE7tPtPMJocMJgcMJjsMJqcMJj4IJ2qGadDpzdm2g+D0Rmh\nN1hoVAg+vVAqGUUiMQyLzS8EBgV7diISPIRUYhjJRASpxBCSiSGk4kOwuupw2um3AABSiWH8/aGz\nkUxEwLG5pqQVF9wrBDwMD3bh6P6nxukFAzA6cBwnfCYz512DdCqWGd3zo3yTxQez1QtLZoQFAN6q\nhVh75a9lz7FcK2kTk48mhSydTAHj+Mik/hMly63k1CV7Myu8YrWW7ShpaZYSfHqiehTf4HVweOZk\n+jD+sYJPYfW/Y/aymzKpb0bn8A0iGR8Eo9ML5RiGgadyIeKxASQTYSGzSyo5jFRyGOlkQvD7hXr3\n4dCuP0zYu8tu3AGDkb82rz3+GQSObQXAhzXrjVYYDFboDRbUNl+A006/FQAQGzqOXa9/Fzq9GXq9\nCTrRy4iZ868RzLuB428jPHAQOp0BjM4AhtGBYfRgdHqYzG5UNqwR+tLT9So4cGDAAGAAcODAARwH\nl2+2EF49HD6KUO8ucBwLjk3xJmI2xf/PpjFr0ceEz+nQ7t9jOHwUbDoBNp0Em04gnRpBOh1HVcMZ\nwnSOwf692PL3z/H7klGkUiPg2DGz8/prH4encgEA4OCO3+Hwnr+Oez3dladh3opRc54p87DBQW+w\nCJkd+FG0CwaTR/hM/XWnY+m592Qm147NYTKanJn5mmNf9jkrbha1KfWZTZafSdyHEua2qZT2Sy2/\n12TMFSQfGXFSYzBaYTBaYXXUTFiGYRic8YGHRNs4jkUqGUUyHoYhk3oHALzVS7D4rDuRSkT4EURy\nGKnEUEb0oqIUY7rMaCydGkE6FUM6FcPodFNfrF8oF48F0X3w2Qn7V924VhCyI/ufwqFd4wfQuPzz\ncO51Y6OQTU/fCI4b/+lkydnfRPMifpTZd+RNbH/5jgnbb1r4ETAM/7Pu2vMogj07xy1nNLtE74cH\nu0TvGUYPg9EGvdEGcGM3SV/1kky2B8fYSNfIj3Qtjuqs43W4+PpNMJgc0I8zzSPbz+T0toh8UQSh\nFBIyQvMwjA7GzI01G6e3ueAEpWuvfAQAL4rpZAypVAzpZBTpVFxI0QMANmc9Vl54P9h0HOnUCD/K\nSSf4UQ+bhNUxFh7tr1kKNp0Ax6b4URPHgmPT4Lh0TlBOVeNacBwLcBwADrxZjQEDRiTsdvcM1DVf\nAEanF0Z3jM4AHWPgJ7tmPVHPOu061DZfIBo56vVm6PQm2LPmPjq8s3Dex16AwWiB3mCDwWgFozOC\nYZicJ/TseZH5MGcFCBFEOWE4DRmKY7EYbDYb1l/7uuoJe8u1mnRpdU3+6tK5fSiTabRI1Ly+onrJ\nLzYu5bo9qLYq8TQwzU2HVZ5z65rcVZ+VkE6NYOOf1yIajcJqnXhStxJoYU2CIAhC05CQEQRBEJqG\nhIwgCILQNJoM9kgnkwCrfLlsOf9KKRZl8RIqxcf85/SvyKpK8ffl9kGdVFLqTYUozwrL5fK9aZ1y\npTMStTENlofJrWdqlotRqw/ieqaXnzOdlVFILejXSxAEQWgaEjKCIAhC05CQEQRBEJpGkz6yVDI9\nbv62vHOVivRf5fWfFOm2yZ27pI5/TTV/X0n1qPeMNBlLrJCPbHwmw0em5lyl6eZXUvP6Tfc5fVIm\nmuOXLiGOYCLo10sQBEFomkkXMo7jcOedd6Kurg52ux1nnXUWdu/ePdndIAiCIE4SJt20eO+99+Kh\nhx7C888/j9bWVvzXf/0XLrzwQuzbtw8OhyN/BQDYdBrMOGa4UkK8pagV8l0uk1VuNnyVzKbTMEye\nnQSzX7lWntY65QrdFrdRHtOWumH90yullpTpmP1+ItiTwbT405/+FF/+8pexaNEiWK1WfOtb30Ii\nkcBjjz2WUzaZTCIWi4leBEEQBJHNpArZ4OAgOjs7sWrVKmGbwWDA0qVLsX379pzyd999N2w2m/Dy\n+/2T2V2CIAhCA0yqaTEcDgMAPB6PaLvX6xX2ZXPHHXfgtttuE95Ho1FUVFSATcfL2k9AvWzoDFee\nZwWOm379K1dwIcOSaXGqmBTTIlcu06KKdZFpUTVG799qtjWpQuZy8Yv5hUIh0fZgMIj6+vqc8kaj\nEUajUXg/alrc+sIHytdJgiAIouyMjIzAZrOpUtekCpnb7UZTUxO2bt2K008/HQCQSqWwY8cOfPzj\nH897vMfjQSAQAMdxqKioQCAQUG09m5ONWCwGv99P1ygPdJ3yQ9coP3SN8jN6jfr7+8EwTI5lrhQm\nPWrxpptuwr333osNGzagpaUF3/72t2E0GnHVVVflPVan08Hn8wkjM6vVSl+aPNA1Kgy6Tvmha5Qf\nukb5sdlsql+jSReyL3/5y4hEIjjvvPMQDoexYsUKPPfccwWH3hMEQRBENgw3Gd49lYnFYrDZbKou\nlX2yQdeoMOg65YeuUX7oGuWnnNdIkymqDAYD7rzzThgMmkwVOSnQNSoMuk75oWuUH7pG+SnnNdLk\niIwgCIIgRtHkiIwgCIIgRiEhIwiCIDQNCRlBEAShaUjICIIgCE2jOSGj9czE3H777Vi0aBFcLhdq\na2tx3XXX4ciRI6Iyhw8fxmWXXQan04mKigp87nOfQyKRmKIeTz1XXXUVGIbBSy+9JGzbuHEjli1b\nBpvNhlmzZuHBBx+cwh5OHZs2bcKGDRvgdDrh8XhwxhlngM3k8du5cyfOOuss2O121NXV4Zvf/Oak\n5OabTvT09OCjH/0oqqur4fF4cPrpp+OVV14R9p+K36M//vGPWLduHVwuFxiGQSqVEu3P971R5Z7O\naYx77rmHa2ho4Hbu3MlFo1Hu9ttv5+rq6rhIJDLVXZsSbr/9dm7btm1cPB7ngsEgd91113FLliwR\n9qfTaW7RokXcxz/+cW5wcJDr7OzkFi1axH3hC1+Yuk5PIY888gh3wQUXcAC4F198keM4juvs7ORs\nNhv3k5/8hIvH49zGjRs5l8vF/e1vf5vi3k4ub775Jud2u7lHHnmEGx4e5pLJJLd582aOZVkuHA5z\nNTU13O23385Fo1Fu586dXH19PXffffdNdbcnlauvvppbu3Yt19vby6VSKe7ee+/lHA4HFwgETtnv\n0XPPPcf9/ve/5375y19yALhkMinsK+R7o8Y9XXNC1tTUxP3oRz8S3ieTSa6iooL79a9/PYW9mj5s\n376dA8ANDAxwHMdxGzdu5AwGA9fX1yeUefzxxzmbzcbFYrGp6uaUcOTIEW7GjBlcV1eXSMi++c1v\ncm1tbaKyX/rSl7gNGzZMRTenjLVr13K33nrruPsefvhhrrKyUnST+tGPfsQ1NzdPVvemBYsXLxbd\nfyKRCAeA27x58yn/PXr55ZdzhKyQ740a93RNmRaVrmd2KvLCCy9g5syZ8Hq9AIAdO3agubkZFRUV\nQpmVK1ciGo1i//79U9XNSYfjOFx//fX4+te/jsbGRtG+HTt2iL5TAH+NTqXvVDQaxZtvvgm9Xo9V\nq1bB7/dj+fLlePTRRwHw12jp0qWiyawrV65ER0fHuEswnazcdtttePzxx3H8+HEkk0k88MADaGlp\nweLFi+l7NA75vjdq3dM1NQ1d6XpmpxovvfQS7rrrLuHmA/DXbLzrNbrvVOHBBx8Ex3G48cYbc/aF\nw2HMmTNHtO1U+04NDAyAZVk88sgjePrpp7F06VI8+eST+MhHPoJXXnkl7/dodImmk50zzzwTv/nN\nb1BXVwe9Xg+fz4fHHnsMVquVvkfjkO97w2V8ZaXe0zU1IpNbz+xU+SFNxNNPP40PfvCD+O1vf4uL\nLrpI2O5yuca9XqP7TgXa29vxrW99C7/4xS/G3T/RNTpVrg8AOJ1OAMCnPvUprFy5EgaDAVdffTXO\nOeccPP744/Q9AsCyLDZs2ICamhoEAgGMjIzg5z//OS655BLs2LGDvkfjkO97o9Y9XVNClr2e2Sij\n65ktXbp0Cns2tfzud7/Dxz72MfzpT3/KWQ6nra0Nhw4dQiAQELZt27YNNpst5+nxZOW1115DIBDA\n8uXLUVFRIZhZr7nmGtx4441oa2sTfacA/hqdSt8pt9uNlpaWCVdGb2trw/bt20URadu2bUNzc/Mp\nc6MOBoPo6OjAF77wBfh8PhgMBlxxxRVoaWnB888/T9+jccj3vVHtnl6Kc28quOeee7gZM2Zwu3bt\n4qLRKPe1r33tlI5a/PGPf8x5PB7u1VdfHXf/aNTiJz/5SS4cDnNdXV3ckiVLuM9//vOT3NOpY3h4\nmDty5IjoBYD7wx/+IESbWa1W7qc//SkXj8e5V199lXO73dyjjz461V2fVH70ox9x1dXV3Pbt27l0\nOs098cQTnNls5jZv3ixEn33ta1/jotEot2vXLm7GjBncD37wg6nu9qQyf/587oYbbuAGBwe5dDrN\nPfXUU5zJZOJefPHFU/Z7lEqluFgsxj3//PMcAG5oaIiLxWJcOp0u6Hujxj1dc0LGsiz3jW98g6uu\nruasViu3bt06bufOnVPdrSkDAGcwGDi73S56ZQtbZ2cnd8kll3B2u53z+XzczTffzI2MjExhr6ce\nZEUtchwfcdXW1sZZLBZu5syZ3AMPPDCFvZs6vvOd73ANDQ2cw+Hgli5dyj3++OPCvnfffZdbu3Yt\nZ7Vauerqau7OO+/kWJadwt5OPvv37+euuOIKrrKyknM6ndyCBQu4n/3sZ8L+U/F79Ktf/YoDkPN6\n+eWXOY7L/71R455O2e8JgiAITaMpHxlBEARBSCEhIwiCIDQNCRlBEAShaUjICIIgCE1DQkYQBEFo\nGhIygiAIQtOQkBEEQRCahoSMIAiC0DQkZARBEISmISEjCIIgNA0JGUEQBKFp/j+YwcBitqbcYAAA\nAABJRU5ErkJggg==\n"
}
}
],
"source": [
"z = numpy.ma.masked_array(z, obstacle_domain)\n",
"W = z + 1.0 / z\n",
"data = numpy.imag(W)\n",
"plt.imshow(data, cmap=\"coolwarm\", origin=\"lower\")\n",
"plt.contour(data, colors=\"k\")"
],
"id": "9e45e0fe"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we have created a test dataset representing uniform flow around a\n",
"circular obstacle. Next, we will convert this into a `Geometry` object."
],
"id": "c5628134-80e6-4e5c-96c8-bcd98b262929"
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/plain": [
"(10201, 3)"
]
}
}
],
"source": [
"table = numpy.ma.masked_array([x, y, data]).reshape((3, -1)).T\n",
"table.shape"
],
"id": "68a14262"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We use the utility function\n",
"`psiclone.util.convert.convert_array_to_geometry` to construct a\n",
"`Geometry` object for the uniform-flow setup with obstacles. To do this,\n",
"we first prepare a masked array of tabular data in the form of\n",
"`x, y, f(x, y)` arranged as an $N \\times 3$ table. (Instead of using a\n",
"masked array, you may also use data that represents missing regions with\n",
"`nan` values or simply omit the missing entries altogether.)\n",
"\n",
"This function accepts several optional arguments. Here, we specify the\n",
"argument `obstacles` to indicate the obstacle coordinates — in this\n",
"example, we designate only one obstacle at the origin, providing a\n",
"single representative coordinate for each obstacle."
],
"id": "48802bd8-27dd-4a03-82ed-fd837b071c55"
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/plain": [
"(<psiclone.data.geometry.Geometry at 0x7f4a36570200>, 9325, 18476)"
]
}
}
],
"source": [
"geom = convert_array_to_geometry(table, obstacles=[(0, 0)])\n",
"geom, len(geom.nodes), len(geom.edges)"
],
"id": "4e36679e"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let’s check whether the constructed `geom` corresponds to the same data\n",
"as before. Now that we finally have the input data ready, the next step\n",
"is the TFDA process!"
],
"id": "a32856f0-33e8-41d3-98a1-bda120399a19"
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/",
"height": 433
}
}
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAbIAAAGeCAYAAADxHYRRAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nyIiIyGn/H2ljisboR8tNAAAAAElFTkSuQmCC\n"
}
}
],
"source": [
"vis.draw_geometry(geom, bitmap=True)"
],
"id": "651e3e95"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Converting Input Data to the COT Representation:`psiclone.psi2tree.Psi2tree`\n",
"\n",
"Now we will compute the partially Cyclically Ordered rooted Tree (COT)\n",
"representation using the `Geometry` as input data. This is done with the\n",
"`psiclone.psi2tree.Psi2tree` class — its name comes from “psi ($\\psi$)\n",
"to tree”."
],
"id": "470c6917-739b-477a-a311-ec581de33f12"
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [],
"source": [
"psi2tree = Psi2tree(geom, threshold=0.0)\n",
"psi2tree.compute()"
],
"id": "c2011004"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The computation is executed via the `compute` method. Depending on the\n",
"input data, this process can be time-consuming, so it may be necessary\n",
"to set an appropriate noise-removal threshold using the `threshold`\n",
"argument. Since topology computation for extremely large input data can\n",
"take a long time, resizing the data to a smaller scale can also be\n",
"effective.\n",
"\n",
"Once the computation is complete, you can retrieve the result using the\n",
"`get_tree` method. The tree structure obtained from `get_tree` can then\n",
"be converted into a more human-readable format using the `convert`\n",
"method."
],
"id": "774185a6-2d23-453a-97f3-5506c13fb97b"
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/plain": [
"'a0(a2(L+,L-))'"
]
}
}
],
"source": [
"from psiclone.cot import to_str\n",
"\n",
"psi2tree.get_tree().convert(to_str)"
],
"id": "cc46e2a5"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Output Formats of the COT Representation\n",
"\n",
"By passing one of the following functions to the `convert` method, you\n",
"can transform the COT representation into various output formats:\n",
"\n",
"- `psiclone.cot.to_str`\n",
"- `psiclone.cot.to_short_str`\n",
"- `psiclone.cot.to_tex`\n",
"- `psiclone.cot.to_short_tex`\n",
"\n",
"`to_(short_)str` converts the representation into a simple ASCII format\n",
"without Greek characters, while `to_(short_)tex` produces a TeX format\n",
"with correct subscripts and Greek-letter labels. The `short_` versions\n",
"are more compact, omitting redundant symbols while preserving\n",
"information. You can also customize recursive transformations by\n",
"providing your own conversion function to `convert`."
],
"id": "83aa0ade-c681-450a-946b-67f7f4eb3ee3"
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/",
"height": 72
}
}
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"a0(a2)\n",
"a_\\emptyset(a_2)"
]
}
],
"source": [
"from IPython.display import Math, display\n",
"\n",
"from psiclone.cot import to_short_str, to_short_tex\n",
"\n",
"cot_tree = psi2tree.get_tree()\n",
"print(cot_tree.convert(to_short_str))\n",
"print(cot_tree.convert(to_short_tex))\n",
"display(Math(cot_tree.convert(to_short_tex)))"
],
"id": "b33bc05a"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let’s overlay the input data, contour plot, Reeb graph, and COT\n",
"representation for visualization."
],
"id": "0c519b9a-183e-4990-8b2c-a076e7f38ceb"
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/",
"height": 453
}
}
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAaYAAAGwCAYAAADi/sGFAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\n"
}
}
],
"source": [
"plt.title(f\"${psi2tree.get_tree().convert(to_short_tex)}$\")\n",
"plt.imshow(data, cmap=\"coolwarm\", origin=\"lower\", extent=[numpy.amin(x), numpy.amax(x), numpy.amin(y), numpy.amax(y)])\n",
"plt.contour(x, y, data, colors=\"k\")\n",
"vis.draw_graph_markers(psi2tree, lw=2, edge_color=\"y-\", node_color=\"g*\")\n",
"vis.draw_COT_labels(psi2tree, fontsize=16)"
],
"id": "f530b174"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"------------------------------------------------------------------------\n",
"\n",
"Exercise: Apply a Slight Perturbation and Observe the Result\n",
"\n",
"Let’s add a small perturbation to the uniform flow example above and\n",
"observe the resulting computation.\n",
"\n",
"However, if the perturbation is too large, noise may not be properly\n",
"removed, causing failures in Reeb graph or COT computation. Here, we set\n",
"`threshold=1.0e-1` as the noise-removal threshold, so interesting\n",
"structures should exist on scales larger than this, while noise should\n",
"occur at smaller scales."
],
"id": "e1181bc0-bc04-4306-a9f9-3390573358f2"
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/"
}
}
},
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"/tmp/ipykernel_3274/2062294558.py:9: RuntimeWarning:\n",
"\n",
"divide by zero encountered in log\n",
"\n",
"/tmp/ipykernel_3274/2062294558.py:10: RuntimeWarning:\n",
"\n",
"divide by zero encountered in log\n"
]
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAbIAAAGeCAYAAADxHYRRAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\n"
}
}
],
"source": [
"y, x = numpy.mgrid[-3:3:101j, -3:3:101j]\n",
"z = x + y * 1j\n",
"flow_domain = numpy.abs(z) >= 1.0\n",
"obstacle_domain = ~flow_domain\n",
"\n",
"z = numpy.ma.masked_array(z, obstacle_domain)\n",
"W = z + 1.0 / z\n",
"perturbation = 4.0e-2 * numpy.sin(numpy.pi * x)\n",
"perturbation += 0.3 * numpy.log(numpy.abs(z - (2.0 + 1.0j)))\n",
"perturbation -= 0.3 * numpy.log(numpy.abs(z - (2.0 - 2.0j)))\n",
"data = numpy.imag(W) + flow_domain * perturbation\n",
"\n",
"plt.imshow(data, origin=\"lower\", cmap=\"coolwarm\")"
],
"id": "47e1b022"
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/",
"height": 453
}
}
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAaYAAAGwCAYAAADi/sGFAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90\nbGliIHZlcnNpb24zLjkuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8ekN5oAAAACXBIWXMAAA7E\nAAAOxAGVKw4bAADi2klEQVR4nOydd3hb1fnHP1dblveK40xnT7InYWQQVth7z0Ibyl5tGQFaKLQU\n6K9QCrRlFEjYMyFAQhISIGSH7O1Mx3tKsub9/SFZ1vKVZUm2nJzP8+ixpXvuuUdX0v3e877veV9J\nlmUZgUAgEAiSBFVHD0AgEAgEAn+EMAkEAoEgqRDCJBAIBIKkQgiTQCAQCJIKIUwCgUAgSCqEMAkE\nAoEgqRDCJBAIBIKkQgiTQCAQCJIKIUwCgUAgSCqEMAkEAoEgqRDCJBAIBIKkQgiTIOHccccdzJo1\nq6OHcdyRbOd93759SJJEfn4+//nPf+La9wsvvMDw4cNxu92tel2Q3EgiiasgkezZs4fBgwfz448/\nMnbs2I4eznFDMp73+vp6fv75Z2677TYaGho4fPhw3Pq2Wq0UFRXx5z//mRtuuCHi64LkRsyYBAnl\nhRdeYMSIEUlzcTxeSMbznpaWxowZM7jppps4cuQIZWVlcevbaDRy7bXX8uyzz7bqdUFyI4RJEMC3\n337LrFmz6NatGwaDgR49enDffffhcDii7stms/H2229z5ZVXJvQ4sXKsjUXpvAN88MEHnHLKKaSn\np5Oamsq4ceOYP39+vN5CRAYOHAjAxo0b49rv5ZdfztatW/nxxx9b9bogedF09AAEycXGjRuZPn06\ns2fPxmQysW7dOh555BGys7P5wx/+EFVfK1eupKamhpNOOimhx4mVY20sSuf93nvv5YUXXuDWW2/l\n3nvvRZIkFi1aRF1dXbzfSlhkWea5554D4JdffuG0006LW98jR44kLS2NhQsXMnny5IivC5IYWSBo\nAafTKTscDvncc8+VzzrrrKj3f/rpp2VJkmSbzZbQ4yixePFiWa1Wy2+++War2h8LY2npvM+dO1cG\n5A8++CCqcceTF198UdZqtbLJZJKvueaauPc/ZcoU+bTTTmv164LkRJjyBD6cTidvvPEGkyZNIjc3\nF41Gg1ar5fPPPyc1NdXX7sCBA9x+++1MnDiRKVOm8Mwzz/CXv/wFp9MZ0N+RI0dIT09Hp9O16Tjx\nwO1243K5WozK6mxjqa6uZtasWQwYMIARI0Ywc+ZMdu/eHdBPS+d9zpw5nHPOOVx88cVxfV+tpbi4\nmN/97nc89NBDTJgwgV9++SXux8jLy+PIkSOtfl2QnAhhEvi48soruf322zn11FN58803WblyJUuX\nLkWSJIYNGwbA1q1bOf/88znrrLP44YcfWLRoEYcPH2b9+vUhfpDGxkb0en2bjtMSp556KsXFxa1+\nTzNmzECWZa6//vo2v+d4EY+xSJLEXXfdxc6dO9m4cSOzZs3i5ptvDugn3Hnfu3cvO3fu5JJLLol6\n3NGe85a4+eab6devH3/4wx8YOXIk27Zti7sfz2g0YrVaW/26IDkRPiYBABs2bOCDDz7gnXfeCXCa\nf/jhh8iyzKhRowC4++67ef/99+nXrx8Ay5cv55ZbbsHlcvH444/z9NNP+/bNycmhpqamTcdpDzrj\nWDIzM5kxY4Zv++TJk30+mybCnfem2UJhYWGC3oEyr776Kt9//z2rV69Gq9UycuRI7HY727dvZ/jw\n4XE7TlVVFbm5ua1+XZCciBmTAPCY56A5YgrAbDbz0EMPATB69Gjq6+sxGo0+Udq6dStut5thw4Yx\nYsQIduzYEdDnoEGDsNvtHDp0KKrjtBfHwlheeOEFzjvvvIDXwp33JkHasmVLXMfdGg4dOsT999/P\nww8/zIgRIwBPQAIQd3Pevn37As5hpNcFSUpHOrgEycOBAwdknU4nT506Vf7mm2/kt956Sx42bJhc\nVFQk5+fny7Isy9XV1fL1118vy7IsV1RUyPPmzQvoY+bMmQHP9+3bJwPyRx99FNVxgrn00kvlESNG\nyCNGjJBNJpM8ePBg3/Pt27cn9D0HM336dDknJyfsY8WKFe06lscee0yeNGmSbDabA14Pd97dbrc8\nZcoUOTMzU/773/8uL1myRJ43b5587bXXyjt27AjpO9pz3nTMOXPmhGw744wz5FGjRskOh8P3msPh\nkPV6vXz//feHfW9tOc/V1dWyJEnya6+91qrXBcmLECaBjw8++EDu06ePbDAY5IkTJ8oLFiyQTzvt\nNPn000/3tbnoootks9ksv/rqqwH7btiwQb7yyitD+hw/frxPzKI5Tkuccsop8r59+9r2BsMQy1ji\nTTRj+eMf/yiPHz9erqmpCdtXuPNeWloq33zzzXKPHj1knU4n9+jRQ7766qtlu92uOK7WnPPNmzfL\ngPzyyy8HvP7666/LWq1W3rhxY8g+Y8aMiet5fvvtt2W9Xi9XVFS06nVB8iKESRAVK1askAcPHixv\n27bN99rq1avlcePGybt37w5p//rrr8vp6ekhd/VtJd7C1Bl57LHHFEVJluN73ltzzl955RU5Nzc3\nbp9zWzjjjDPkq6++utWvC5IX4WMSRMXq1av529/+xu9//3smTZrEhAkTeO6553j//ffp27dvSPur\nr76awsJC/vnPf3bAaI89tmzZwmOPPUZlZSWnnHIKI0eODJt2qL3P+7Jly7j77rtJSUlpl+MFs2HD\nBr777jvmzJnTqtcFyY1I4ipIOCtXrmTdunXMnj27o4dyXHE8nfeFCxdSXV3NFVdc0arXBclNwoTp\n8ccf56233qKiogKtVsuYMWN45plnfNE4AoFAIBCEI2GmvMsvv5w1a9ZQW1vLkSNHmDlzJqeffjou\nlytRhxQIBALBMUDCFtj6rxmQZRm1Wk1ZWRlVVVXk5eWFtHc4HAEpbdxuNw0NDaSlpSFJUqKGKRAI\nBIIEIMsyjY2NZGZmolJFOQdKZGTFl19+KWdkZMiALEmSfPfdd7fYds6cOTIgHuIhHuIhHsfQo7Ky\nMmrtaJfgh6qqKt588026d+/eYq6u4BmTxWIhNzcX6UG4QK/hymd6gqNZdVVa5VmUpLBdpWn7DEyp\n32OJaM6RFNRWad9I58//zkpSR2irsF1SRTH+CMdJBLIrMT872d32fqM5ZwH7xXD+XJJMlcNBlcNB\njcPp/euixuWgzumixuGg3umiweXE7HJhdrqwxumSZZAk0jRq0jQaMjQa0jUasrVacrRasrUacnU6\nuuh15Ot0GNVqQPlzi/SZKn027qB9o/l+RFM2XnYk/HLvw+Z2c/7+bZjN5qijNdstKs/tdpOVlcX3\n33/vS0uihNVq9byZhyDXBO+Sgu2JQp84CWFKLFEJk/bYESZZlrG63TS63di8D4cs4/I+3DLIyEiS\nhBpPUlWNJKH1/tWpVBhUKvQqFTpJatEMfawLk83tpsLuoMJhp9LhoNzuoMLhoNLhoNJh9/xvd1DX\nRp+zQaXCqPaca51KhcZ7/jVB59sNONwyTtmN3S1jc7uxuFxYo7iYA6Rr1HTV6+mm09NNr6ebQU8P\ng4FeBgNZGg2SJAlhCsLmdnPmvi1YLBaMRmNU+7ZbEle3243D4WDXrl2tEqYmhqSAVQPu0RYMc0po\nfLxrwMxJIIiEU5Yps9spc9gptzso914Ya5xO36PW6b0jd7mI7pLVMio8F9AUtdrzUKkwqdWkqtWY\nVGpMajVpajWpGs9rnofG85r3kaJWh1xsOwK3LGN2uah1uahxemY3NU4n1U4n1S4Hld7ZTqX30dBK\nwVED2Tot2VrPI0ujIUurJVPrmcU0PVI13nOl1mBUq1BJEpK6bdcB2eXGLctYXW7qXJ7Pvtbh+Vvp\nFUyPmNo5ardTZrNT53RR57Sww2wJ6S9VraanwUBvvYHeRgNFBiNFBgMFOp3wj7eRhAnT3//+dy6/\n/HK6dOlCeXk5Dz30EDqdjhNPPDGqfp56ozempw6iUbtgohnjH4/i/Es3cAZ+KWOZIbV1FhTLzEsJ\ntzN+dzVtHWM05ySSY9P/jlpplgOBd+3RzJicssyRRhv7Gxs5YLVywGbjUKONI402ymw2orkv16tU\nGFUq9OqmmY8KjUpCBZ4LIh7juVuWcXuP7fDOrOzeWVajy/Pc4nZjcbshhvIOBpXKI2YaNUaVmhS1\nR+D0ahVGlRqDd5xaSULrnampJQmVJKGWQIXkNfh7vlcu2TNmp+zG6ZaxyzKNLjeNbhc2t9tnMrO4\n3DS4nNQ5XTQ4nVEJtkaSyNFpydPpyNVpydXpyNXpyDfoAl7L0GpQtfLiHT+Tq8cspwcyiTw7ccse\nc+MRq42DViuHrTYOer9n+y2NNLhcbDWb2Wo2B+yXolbRJyWFvilG+qWk0MdgoF9KChna0Mtu8IzJ\nn8gzsdYLtFvbfjMmV5SzUn8SZsqbNWsWq1evpqGhgfT0dMaNG8ejjz4adpV6OJpMeZ+kDsDQzYn+\nyQNIOR4flGtNaog4CWEKz7EoTFUOBzstFnZbrey1WtlrsVJstWJv4assAXlef0GeTke+3nORzNZp\nydJ67tAzNBpM3pmLJtoIohZwek2CZpfnIm9xeS7wDU4XDUH/1zuc1LucmJ0u6v22xXMGFyspahUZ\nGs85y9BqyNJoydJqydF7ZzxeIcrRaUnXhBccVRvNhZA4X2B0ZrMgk5tXtPZbGtlntrDP+33ca7FS\n1cLNSJ5OS7+UFPp5BatvipEeWj3aFr53sZgIQ8afIBNyOGxuN6dt2dgmU17SZn7wFya9pEIqtKN/\n6gBSdnhxEsIUns4uTJUOB9vNZraZzWw3W9hpsVDRwg8+X6ell9FIL4OB3iYj3Q0Guhn0FOj16Px9\nVzFcHBNFSxcXWZZ9M5cmcWt6NPrNzmxuN3bvzM3u9vrDaPaLSZJHoAHUfv4YjaRCr5LQe2eIBq+5\nMUXtMTWa1GrStR7zYkuCHc35PNaEKaCfoG3VDgd7zBb2WKzssVjY1WBhr9VKY5iZhEaS6GUw0Ndo\npE+K0fPXaKSLTocU4c5ECFM70iRMX3YdjF7yik93O6rf7UPK8oiTvCEN94s9wKmKyeHuT9Tx9p2I\nWH7YsQQatFaYLC4X261WttY3sLmhga31Zsrs9pB2KWoV/U0mBqaa6J+aQt+UFPqYjKRqmk0kSu9V\nSvLPWI7BBNJeRHMO23ojEOkmJlEomtUUhUn5c5NdMm5Z5pC1kd1mC7vMFnY1mNlttnC40Ua4no0q\nFb2MRopSjPROMdDbaKSn0UB3g8F3syW7Wv99aW9hmrp23XEgTFoJutjCipPKazcOhxAmD8kkTLIs\nc6Cxkc0NZjZ7hWiPxRpitjKp1QxMTWFIaiqD0zxi1N1gQCVJinffQpgSixCmcNsiC1NLNDic7DVb\n2G2xstdsYY/Fwh5zy+ZACeiq19PdoKfQGyVYqNdToNfRRacjW6sNa0rtLMLU+Uqrl+pxP13kEydp\nZD2q3x6Ef/UMCYgQJA/1TqfHQWwxs7nBzJb6hpBQYTUw0JTCsLRUhqSmMiwjjV5GQ6ud4wJBZyVF\nrWZYehrD0tMCXq9xONhntlJssbLPYuWAN+iipNHGEZvnEQ6NJJGn05Kr1ZKj05HrjXpMV6vJ1GjI\n1GhI1XhMtE0mW3US/c4634ypieCZ08Y0eDm8OIkZk4f2mjE53G72NFrZZrawxStG+xsbQ/bL1WoZ\nmmpieFoqw1JTGWRKwajTtthvyJjEjKnDEDOmcNvaPmOKxncFnt/Y4Uab52G1ctgrVEdtdsrsdmr8\nkhW0Fp0kedeHqdGrJLSSJ9JTp1L5ojubIj09n4zk81vK3phPzzo/z3OnW2ZDQ8OxacpbOGAY+jA/\nApVKhZzfiHznbsj0fgib0pH+3RvJqVK8MMVrYWZnJxqhaumc2d1u9tls7Ggws91sZrvXZh4cIaeV\nJAalmrx3hamckJ5GgT50nYf/mCJd/JQ+q2PpM45l0Wy8iOWcRbXYOQluGqK5MVAWqsBt7Sl4jS4X\nZTa7Z5Gz3fO32uGg2u6gxptlo8GbUaMp+jNR37LjTpiAFsVJJbfsczqWLlqxEI0wSSo4arezz2Jl\nj9XKHouVXRYLxdZGXGG+Qr2MBoakpjI0zcTQ9DT6m1LQqVQRo7KEMIUihKl9ORaEqSVampnJsicr\nhtXlxup2YXd71uQ1rc1riu504QngkAH/n70keRaUS0je/yUcspu7t+w4TnxMQUhlBvh7v2ZxGl6H\nfHMx8utFSMLnFBVuWabS4eCozc4Ru2cR4cFGGwcaGznY2OhZKBqEhEeE+ptSGJyayuBUEwNNKYER\ncp1MCASC4w1JkjCo1RjUarLQRt6hFTRGES0YTKcXJggvTu4b96H6rxAnpyz7FnPWu1zUNqWRcTqo\ncTl9KXrK7Q7K7PYWF6kCZGk19DEaKTIa6ZtipL93cWCKLj5fZIFAIIBOIExqrRq1d3qvCjDzBN2F\n15mQXx6IY/ZOyHDAsDr4VTHqt/oiuQLFqTVOVZcsU+NwUu12UeeXS6vB6VnoaPZb5NiUhsbuduP0\nJvt0etPVeK7z/hd7KWDaq5Y8dysqaE4jQ/NrkjcFjv+Im9LhuJCRZXAEpcRp9E7JPSlmojMDZWo0\nFBr0dDXo6W4w0CvFQE+jkd4mI5na8AIUySQoRbG4VfEzDum39Wa/tjrSY5ntJcoE1x4hv7EEHnQ2\n050SEc1oUSRm9XcuBPerbMpTPkfRfB9U7WgW1sRQFDbphSkapAoD2n8O8ImTe3Atzmv3oAkjTg1O\nJ4dsnqiWozYbR+12Sm12Su12Ku2eNPzJHxsVGRV4wkK96XYytJ7U/pkaLdl6T76yfG+anjydDpMm\nvG8ulhX7AoFAEA3HlDCBnzjdthPSPeJUdsV2ljyfxd4GG8VWK4dstlaFU2Z6Mx1naAOzHDfF/RvV\nak+JA3VzmQO1JKFRSWi8oZUSgOSZHcl4Yill8M6mPLMqd1NJBb//8bZpcjQGo/KbbXmSd3rCO3Uq\nCYNKjVHtTUSqUrWY4Vj4fgQCQTKS9MKkMTTn6FIyL9iAPRYLO8xmdh2xUPuAlt/8yUFOLmSeYKHg\nFgsvz2lO8qxXqehu0NPN6Mmn1kXvMV918Sb4zNFpwyZV7IiicokiXmtRosp/F9E851cMMqp+2x7B\nF0vb1hJPs17L8aYdVI8ppoi9tpvyojluW89LLKY8JbNZNP1GMtUpmQhbe4xEoGm7JS/5hSkcdreb\nXRYL2xosvgSfxRZrYGmDo7Djbvj7C5CdA5Mmwdt/NVL5Zk96ak3k6ppTdggzlUAgECQPSS9Mblmm\n2Gplq9nMNouFrQ0N7LJYcQZFj6mAIqORgakpDDCZGGDyJPfMfMuJ7aZtyOkO8kdY6XprKfp5A5Bc\nQowEAoEgGUl6YTp3w0bMQdNTCSgyGhhsMjE41cRgk4n+aSYM6jBGjkothteH0HjDVuR0B66BNdgu\n3+kVp+SOCBIIBILjkaQXJrPbTb5Ox5A0bzqbtFQGp6WGRI8p5kZrSEP9zgmYr96EnGbHNbAG+5W7\nSPloMJJLFTefQkfl9ooXSudBeVvrQ7Wj8TEFt41lDB3tY4pEMmR3aCvtFR6eqM8lmnOv5MMJ7iem\nbA5++wbfbsfSb2v7iQeaGKxSSS9MH40dSQ+jAYjNF6SuMmJ6e7hPnJz9q7FctM0jTgrpiwQCgUDQ\nviS9LStPp4tbX03iJNV7+mwSJ1l9LKxYEggEgmODpBemeBNOnMwXCnESCASCZCHpTXkavRpNmKCG\naFLbhPRpTkXz/ghqL9uInGrH2a8Ky0XbSPt8qGJW8mQhUWlc2pqROxr/TjL6mJJtoXFn8De1h1+p\noz6XtvpwIn1u/ttjWR/VWXxMamcM9d/iOI5Ohbo6hYz3RiA1eGZOjr5V1J+7RcycBAKBoIM5boUJ\nwotT3TmbhTgJBAJBB5L0pjy1VoVa7S2t3kaTUDD+JiuNJZ3sT8ZQfcFa3Kl2HH08M6fMBScgueMX\nSt5eJCocN1GmPKV9YzHlJXt4eCy0h6mvM6QZShRtDR+PxpSn1E/ktp3ElBfDZ3lcz5ia0NSkkPXJ\nGFTemZO9qJKas35BVomZk0AgELQ3Qpi8CHESCASC5EAIkx9hxelMIU4CgUDQniS/j0mnQe0NF2+P\ncGa1JZ3cL8dTcc5q3CYbtt4V1Jy1iexvRh5XPqd4Vo9NNh9TTOH2bf38OygEXMnnELdlB7H4o6Qk\nL3shR7gpjZvfKD6pjqLpN9JxYkX4mOKMptZE7hfjUJn1ANh6lVM1c4OYOQkEAkE7IISpBYQ4CQQC\nQccghEmBcOJUedp6IU4CgUCQQJLex6TRadBoIqckipdPIbgftTWD/IUTKTtzJe4UG7aenplT7nej\nUSX/6QsgXqXUg7e3n48pqK3SZ67gu0jGNU6dIQ2RP20vwx7FvXB7+XM7ouxFsO8qTiUyot23tf20\nBeFjSjDaulTyv5qIyuKZOTX2KKNi2jpkVQxF7QUCgUAQFiFMrSScOJWfulaIk0AgEMSZpLdFqTQq\nVJqmlEQtZ54Opq2mPaX91I2ZdF00haMzVuBKsflmTvnfj0NyR58Bvb1JDlNe281xMZlv26nKaiKI\nxhyTKGJKMyRF8TtIhnOvZK6TYzCbtTG7eMRUR0oh7QkKLW8NMa3KiN8wjg+09akULJqC2jtzsnYr\npezk1WLmJBAIBHFCCFMbEOIkEAgEiSPpTXnJSpM4NZn1msSpJbOeQCBQxuFyU21ppMrSSLXFRk2j\njVqrndpGG/U2Bw02Ow12B2a7A5vThdXhwuZ0YXe5cLtlnG43LllGQkIlgVqlQi1J6DVq9Bo1Bq2a\nFK2WNL2WdIOOVL2O7BQ92SkGclOM5JgMFKSZSNGI+/WOJumFSa3ToPaGi7fVNxRLiQxFn5Mtk8Jl\np3Dk1O9xGRuxdiul/JQ1FPw0Ma7ilChfVVvfd8i+kdpKLfsGY/ETBfgcI/kxYnivnYloQn4T/b2S\nZZkaq42yBisVDVbKGiyUN1gpN1spb7BQaW6k3OzZVmlupLbRlpDxREu6QUfXdBOFGan0zEyjZ5bn\n0Ts7nX65mWQY9b620ZS9iMZ3pejvCQlLb3tV3ba2bQ0q2v79SnphSnZ0DWkULj3ZJ06WwqMcnbQy\n7uIkaD9cbje1jXYqzd67d2sj9Y0OGuwO6m12LHYHNqcbm9OJzeXG5fLcqbu9D5Uk+R5qSUKrUaFT\nq9GqVejVnrt3o1bj+2vUaTBpNRi1GlJ0Wkw6LSk6jeevVoMuzDq+9kaWZRrsDuqsdqqtNqqtjVRb\nbVSZG6n0znIqzB6BqTB7/q8wW3G4Wu9QV0kSWd4ZTKZR7/cwkKbXkqrXkar3nB+D93zpNWp0apVn\ndqTynG8ZfJ+Fyy1jc7podDixOp1Y7U7qGu3U2+zUWu3UWJvHXd5gpbTeTF2jnbpGOzvKqsOOMyfF\nQN/cTAbkZzIwL4uBeZkMzM+iMM0UXaCHoEWEMMUBIU6dC4vdyb6qWvZX17O/uo79NfUcrjVztM7M\n0XoLZQ0WXEm04FWjUpGi05Ci1ZCi81yQjVoNBo0Gg9ZrptJo0KpVaFUqtGoVGr8LtdpvBgOei7bT\nLePGY/6yO93YnC7vw4nZ7sTicGK2OzDbHNTZ7DTYHLgVItJaIk2vIz/VSG6qkbxUI/mpKeSlGskz\nNb2WQm6qkZwUI5lGPaoOnr3KskyV2UpJnZkjtWYOVNdzoKaO/VX17KuqZW9FLZWWRioPHGXVgaMB\n+6YbdAzpks2wghyGFuQwvGsOg/Oz0SfBjUVnQ5KV4h87EKvVSkpKCluuPhNDkprygrGn1vvECSDl\nSEFcxEmY8sIfJ5Ipr9HhZEd5DVtKq9haVs3O8mp2VdRwsKZBcbwAmUa9z/+QZTSQbtB579q1pGi1\nPr+FTqNGq1J5ZkgqCQmQ8VzgmgTA4XLjcDX7QxqdLhodzXfxFrsTq8Pz1+JwYLF7RMHifc2ZBOHi\nACadhnSDniyj55Fh1JOTYiDbZPD8TTF4RCfNRK7JSK7JgEEb4d43GWcYSiHhskxJnZk9FbXsKKtm\ne1klO8tq2FpaRZWlMaS9RiUxMC+LEYW5jOyay4jCXIZ2yQ45L8eiKc/qcNLnhXlYLBaMRmNU+ya9\nMG2/8RyfMPkTXZmDtgtTtH3ZTfUcnPIdLoPnS2o62pWuq09ElaCZU6JKOEQqRxDN+VYSsZDPUelC\npfCZO2WZLUerWH+ojLWHylh/qIyd5dVhZz4alYqinHR6Z6fTKyudXjkZ9MhMo2uGiYJ0EwVpphbN\nZ4m6SVC6KNidLiw+oXL4RMwTAODE5nTS6HThdLmxu1zYnS5cbhmX7A0IcMu+67+EhCR5zoFGpUKl\nkjzmRa1n1qXTqDE1mRF1WlJ1zYECGnXr1xG2SHuth1IgqkteK9cbybJMab2FLSUVbDlayaYjFWw8\nXMbuipoQndOoVAzuks2o7nmM6p7P6G75DMzLQKtWh/Qb7Zgivbeo1irFKFRWh5Nef3lbCFNLtKcw\nQfuK0/EqTPWNdlYdKmXl/qOs2n+UdYfLsTqcgc0lib65GQwtyGFY11wGdcmmf14mvbPTAy4C8f78\n28LxkivvWBWm8NvcNNgcbDlawYZD5Ww8XMaGw+XsLK8JMYsatRqGd81hdPd8RnXLY2RhHn2y08O/\nZyFMHUdnFiZoP3E6XoSpwebgp4Ol/LDvCD8Ul7DxSEXIj7tfbgaju3fx3YkOK8ghRadt6lhhvEKY\nokUIk7evaBKoeo9rtjvYdKSCdd6Z/frD5eytrA3ZP9OoZ2Rhrk+oRnXLo2u6CSmCqVF5vEKYYqJJ\nmHb++gKMrRCm0O1tvBDFsRqn3VTHgQnf4jRYATCVdaPbupMTZtaD2C6c8Urxoyg2EW4omvZ1ud2s\nP1zB0t0HWbr7EKsPHA2I8NKoVIzqns+kokIm9O7KxKKu5Jj8vvxK/rPOliInmI7wOXWEoLTXuY8m\nA7fS5TK4Ym0UbasarKw/VMa6g6WsO1TG2gOllDVYQnbLTzVyQmEeI7rlMaIwlxMKc+mRmeY7x7Fk\nIo80xmixOpz0ePINIUyB2ztemKD9xakzC9PRejNLdh9m8c6DLN19kGpr87oWlSQxqns+J/UpZEqf\nbkzo3ZVUgz5sP+GO0+J4IiGEyYMQJiBxwhRSMkOWOVzb4JlRecVqw6HysGu9Mgw6hnfNZVhhLkPy\nsxjcJZtB+VnN1gKF4ygihCmUY0WYoH3FqTMJk8vtZt2Rcr7dcYDFuw6y8UhFwH69stKZNqAHU/v3\nYEqfQjKNhhaPI4QpwQhhAtpPmAK3uX39FVfVsfFwOb8cKWfD4XI2l1RQYQ6NBpQkKMpOZ0BeFgPz\nsxiYl0X/vEz6ZKUHLBBWRAhTKMeSMEH7iVOyC1N1o53vdh/i250H+G73QaoszXeARq2GKX0KmTGg\nJ9P696BPbqbiRU0IUzsihAnoWGHy6zjgGEfrLWwuqWBTSQVbSyrZWlrF7oraFpcZ5JoM9MnOoCjH\nE5XaOyuNnlnpdM9IpSAtpTn6UghTKE3CtPu3F2HUeGL+oxGUZKtgKqlU2FJqKR6zEKfeI06p5d3p\n8ctUVHICF+DFqdxDyMWllWugZFlma1k13+44wDc79rP6QGlA0ELv7HROG9SLmYN6c2KfbqTo/cwP\nkW4+lEyEUYSdK40/KpQCRpRKExxrRAicCSAZ00FFY+7y+1yjSUkU8bLb1rbeMdicLvZU1LCjtIod\nZVXsKK1md0UNeypqQqJX/VFJkjcdk4mu3qUThRkmz/q01BTyvX9zUgwtLqloElKrw0n3x//TJmES\nmR/aEb0lg95rz/CJU0PeIQ6esCTx4tTO1DXaWbbnEIt3HmTRroOU1Jl927RqFVN6F3LawF7MHNSL\n/vnZIo2LQBBn9Bo1QwpyGFKQE/C6y+mipN7M3opaiqtqKa6qo7iqjv1VdRypbeBovYXDtQ0cro28\nCD1NryPHZPClkMoy6slKMZBh0JFp1GPUtv2aJmZMEYjnjKmJdp05tcOMye2W2VhSwZLdB/lu9yHW\nHCwLMCMUpKUwY2BPThvQi1P69yDdoGvxmAHnW8yYOidixtRCv+03Y2qJSFF7NqeLI7UNlNSZKfH+\nPVpvobzBQlmDJ/luRYOVSktjq9N2iRlTJ6Gzz5yanLDL9hxi+d4jLN93OMBXpJIkJvYqYHr/Hpw2\nsCfDC/OahULMjgSCpEWvUVOUk0FRTkbE1Ex1jXYqzFaqLI3UWG1UW2xUWRqptXqeV5gb+eiX3W0a\nR8KE6Xe/+x3z589n//79mEwmTj31VP7yl7/Qo0ePqPpRabSowuTbiinnWshB4jOriAaDPZuiDWez\nb+QCnHoLDXmHODRyKT02T0edqI+ljTMFWZYprmnwLG7de4Qf9h0Jmep3z0xlWv+eTBvQg1P79wyI\n/FGaBSnNxNrq1/K+ELRvfBbYdoiwJqNRowMCGpJxga3/ZxM8upDZibvltsEzalmprUKQRaS2Le0X\nlgjvPUunJSvdFNqvd+xWhzP5hEmSJN544w2GDx+OxWJh9uzZnHPOOWzYsCFRh+x06K0ZFG04yydO\n9TkHOThsMT23zOjQmVODzcGmkgrWHCxl1YFSVh8opdxsDWiTZdQzpW83Tu3XnVP69qAopzl9SrzE\nWyAQHJ+0m49pw4YNjBo1iqqqKrKyskK2OxwOnM7maBGr1UpOTg5777oc4zE4Y/LHZqz1iRNAWmWP\nxIhTmLFXmhvZUlrJ1qNVbDpaycYj4XN55ZoMTOzdlSlF3TixqJDBBTktliiIxm8kZkytQMyYvIdM\n7hlTyCaFGVOYxkFPExOW3ur9IuyrhP+MqfDhfyW3j+mbb76hV69eYUUJ4Mknn+Txxx8PeV2t06AO\nlzo/llIWMTjGA48Rnx+K0ZlD383nsGf4Fzh1npnTgWGL6bV9ZkRxas1F1eZ0cbCmnuKqevZU1LCr\nvJpd5Z6/R+tD055oVCqGF+Yyqns+E3p3ZXzPAvrkZSoGGwSMKQaxCTinEcRF8b1HMwYlOvvsr61r\nUeL5vtsoKImaeUcajWKAQBQiEGLa899XYW1S8L6RBE5SCKxREjgpUvqiNt4QNfWriuF+ql1mTIsW\nLeK8887jo48+4owzzgjbpqUZ0/4Hrg47YzqWhKkJm6HGJ04AaVU9FcXJ6nBSa3NQabZS3uCpGFpa\nb/FE1HgLnR2qraekztzi78mk0zC4Sw5Du+YwrNCT/HRoQU5IvZiYFrAKYeo4hDBFTbyEKXTX1guT\n4niCxaaNwhTVeKOhaR2T3UnB715MzhnTl19+ydVXX83bb7/doigBaLVatNrQ3E6dHbvT5amj4/CU\ndbb6lXi2OV1YnU4aHU4aHZ7aOqzuy6irtmNIc1CffYD5GXP55NU8as1O6m3ektCNdmqtNhqdrlaN\nQa2S6JaZSq+sdPrmZtA/L4t+eZn0z8ukZ2a6zyQnfEMCgSAZSKgwvfPOO8yePZv333+f008/PZGH\nSjhmu4OSOrNvZlJubqTK0ki1tZFqq40aq41aq90nHvU2Bw02R5uqj3b/AZ5/HnJzoddQMxMuNzNn\nDjgcge20ahWZBr2nRLW3VHWuyUhhhonCdBNd01PplplKtwyTp/6QCNUWCASdgIQJ04svvsgjjzzC\nl19+yUknndTmfiSNGqmptHobq5uG9BlmZlBvs7O3opa9lbUcrKlnf1UdB2rqOVTjWWRW12hv0/jV\nKgmTTotJp8Wo1WDQakjx/jVoNRg0agxaDUbvw/O/mn2fOkm/fAu6VDuTJsGX/82HnyeTqjWSbtCR\nlWIgRasJOSdRmRfjlYIoUea5SP220ucV3FfEmaHSAtGOWBCa7LWaYjkn0SzGbScC3k2khdFRBDQo\nms6CzWb+bZW2RdNPMBG+V0q+q5DD+vflLcIpxfC1TZgw3X777Wg0Gs4888yA17/66quYhCpWKs1W\ntpfXsL20mu1lVewoq2ZPRU3YIAB/9Bo1BWkmuqSnBMxOMr1pOLKMetINOtINem8pai1pRgM6tarN\n0USNe4ewe9AnOHUWdN3LSE9dT+9dZ3WKRbgCgUDQVhImTB2d6UiWZQ7WNLDhcDkbj5Sz5WgVm0oq\nWhQgvUZNUXY6fXMz6ZmV5nt0z0ynMMNEdoohaoGJ1WdjaMyi3/YLfOJUl7mf4v4LhDgJBIJjmmMm\nJVGluZG1h8pYe6iM9YfL2HCkgipLaJ0Sk07DoC7ZDMrPZlCXbF+tksIME+pwQtLBfhkhTgKB4Hgj\n6YVJpdWEpCRyud1sL69h1f6jrD5Yyqr9R9lXVReyb47JwMhu+YzolscJhXkML8yld3ZGyMLQePll\nYkFpNpbiymPA7kvY1f9DHFqzR5wGLKTPvrNRyRE+wjiFzSueo/byG4X40/z7jbCgtq1+oyT0gURF\nvJLHxus8xHCjl6io0UiJTQMbR+NTanltUqS2/tsjpjpSCEOPai1VMDEuRJZisJolvTCBJ0XO2kOl\nrNpfysr9R1lzqJQGW2CIWopWw8ju+Yzpkc/o7l0Y0yOfbhmpSJJ0TIRBG2xZ9N91cbM4Zexjb9H8\n1omTQCAQdCKS/op25qufsrW0KiTFes+sNCb0KmBcjwLG9+rCkILc5sqLxyhCnAQCwfFA0tdjAk/I\n9fCuuUzsXciE3l2Z0LuAwsw05Q7aI/NDB/mfGg017Cyah0PrKcCXUdeHPgfPCytOUZkp/c010WTW\nSAbzXCTTXbzCxYMR4eORSUR9q/YijuHislIIuNK+kTI9tHUMIW2jCDUP2TV0DFa7g7zf/Dk5Mz/E\nynvXn82k3oWk6rXHhEkuHhjs2QzYd7lPnGrT97K3x2ctipNAIBB0JpL+Sj+lTzdS9cdeqqJYaRIn\nrcNTD6VJnNySM8KeAoFAkNwkvTAJWkaIk0AgOBZJeruPStdcwbatvqGIvqBo6vxEQzvYyI1yPgMP\nXsWOnu/i0DR4xKnX5/Q9cmGIWS+ybyWK8PFk9xspHUehnxBi+Qyj+e5E4zeKZvlavMLFlYjn9zxO\nPjtZYUzRpNoJIfhz8v8sIvQbED4dRbi4Ynh4MJFC1pXGGEXW8tB9w4SLx+ALFTOmYwCDI4eBB65E\n60wFoDZ1D3sKPxYzJ4FA0CkRwnSMIMRJIBAcKwhhOoYQ4iQQCI4Fkt/HpFaj0oSrYKusqYqlFhQP\n2PbKuDERpzVRRgoYVHId27u+6fE5pe5hT7dP6Vd6CVKQcyKa0hZJ4TdSBzlX/PcNfi+RxuRHiD8i\n2cpeKHG8rGkKRxt9W1Gdsaj8LK330YT4epRSEgX7lJT2jbRuKQb/lFJbKfi3SZKWvRB0HAZHTqA4\nmXaxu8sH9Cu9BFUUH/mavYf4dM1WVmzfz8GqWqrNVgoyUpnQvye/P38qAwvzEvguBALB8Yow5R2j\nNImTz6znFSc3rTfr3f7GF7z87c+4ZZkJ/Xpw+gn9kYH3f/qFk+a8zK6SigSNXiBIDLIs43a7cbnc\nOF0u3G2oMC1IPEk/Y/KvYBuNiUXR5BaN2SwZUxS1ckxGdz6Dym5ke/7rODT1HnHq+iH9yy9HhSbC\nOVLxu/OnMX14f9KMet/5dbvd3PPmF7z67Ur+u2wtf756VuLCulUKprugthHNcXEOF3e73VTUNlBa\nXUd1fQM1DRZqGszUma1YGm1YbHYabXYa7Q5cbs9F0OW9CKokFSqVhEqS0Gk16LVa398Ug44Ug54U\nvQ6TwUBqioG0FAOpRiPpJs8jzaBH3ZQXMpbKJ+0RSg5tDyeXVDhdLqrrzVTXN1BdZ6aqvoGaejM1\nZgu1DZ5HncVKvdlKvdXz12KzY7XZsTTaaLQ7sDuc2J1ObA4H7jDmKUmS0KhVaDUaDFotRoMOo06H\nyagnw5RCRqrnkZOeRl5muueRlU5hbhbdc7PISjN5fvvBn0Xw+fUzo8lRmfIitFW1nOoolvDwqNIX\nhe0/cpOWSHphEsSG0ZnLoLIbmsXJuJNdefPoX345anSK+54/fljIayqViqtPHs2r367kYEVNgkbd\n8ciyzNGqWnYcPMrOgyUcKK2guKSc/aUVHK6oory6zic0HUFaioEMUwqZqSbfhTPTlEJmmve5yUi6\nqflvuslIeoqRtBSPuKXode3mLrM7nNRbrNRbGn3iXWO2eASmwewVHu+jroFKPxGqM1sTMiaV70ZL\nRpZlHE4XDqcLS6MN6qPrK8Wgo0d+Dn0Ku9C3sAt9unVhYI+uDO7VlS5ZGR2WU7MzI4TpOKAlcRpQ\neaWiz8lis/PtL7vYUHyEigYzNocLkCmp9tS+Sk8xhOxTUl3HP+YvZ/6arRytqaNbdgYXTBpBbrqJ\n7FQTl58yNlFvs83YHU627j/Mhl3FbNi1n417DrB9/2FqI1wUc9JTyc/KICcjzScM6akpmAx6DDod\nKQYdeq0WjUaNWqVCrVIhSZ6LoVuWcbndOLx38412h+dhs2Px3u2bG200eC/o9RYrdRYrdWaL97nn\ncai8qs3vO8Wgw2TQY9R7ZggGvQ6jTotep0WrVqPVqtGqNb7ZnUolIctec1jT+J0unE6Xd0bixGqz\n02i3Y2n0vIeGRht2R9ujQlUqiUyTiez0VDLTTGR5Hz5B9opuWkrTw+CdceoxGfXotVr0Og06jQad\nVuP9DAKFwu1243S5cXg/B6vNjsVmo8Fqo85socY7M6uoqaO8po6K2npKq2o4XF7FofIqGqyN7DhQ\nwo4DJSHjz0lPZUjvbozs35vR/XsxekARfQvzky6GJtkQwnScEFaccubSv/KKsOL03yWreXjuV9SE\nqQLcxODuXQKer9p1gKuff5urThnLR7+7ke45mRSXVfGnD77h+c+2sPSpO+P+vtpCndnKj1t28uPm\nXazcsps1O/bSaHeEtMtKMzGwZyEDenSlqGs+vQpy6V2QR/e8bPKzMtBpNR2SAdvldFJvtXpmHt6L\nZnWD2WvaMlPdYKHObKHWbPWYunxi5hG3eovVKxyeR6JRq1SkpRh8M7iM1BTSTSlkpXpmeJmpHrHJ\nTk/1Ck8qOempZGekk2Eyokpw8maVSoVOpUKn1WAyht5sKSK7qW2wsL+0gr1HStl7pIzdh46y48AR\nthYforKugeW/7GD5Lzt8u2SYjEwc2o/JQ/tz4rABjBnQG324yOPjmKQve1H+4gMYdWGSuEYR6hxL\nSqKIx20jcQs7jzIU3qouZ1vOazjUHntFZuNA+ldf7REnb1//XrSSO/7zCd1zMrn/gqmcMrQv3XOz\nMeq0SJLEeU+9xrcbdrDwsd9w8tB+SCoVNWYrk+57ltd+eyVThvX3HbKiroFrn3uTqScM4D/f/Mi6\nFx8mRe9nQlQI85aVwsO976fFbX79Ol0uVm/fx6K1m1mybgurt+0JMcP1617AyAFFjOzfmxH9ixja\npwf54cwwCp+/UhqcWIgphU4LP2+3242l0U6DtRGrzeaZ6djsWO0OHE6n17Tl+eubIbm8PjKVhEry\nzP50Wg1a72xEp9Fg0OtI0es8szCDnjSjAb33e9O6N5v4lESxEM1nIbvdHCmvYvO+g2zYsZd13seR\niuqAdka9jhOHDeDU0UOZOnooI/r2DJxRxRAuruifUvCBhd3eUj/BePez2uxkX/ngsVn2QhBfjK48\nBlf+yidONYYd7Mp62ytOOmRZ5smPFqFWqVj46K30Kcjx7Oj9oVfWm1m6aTeSJDGyqLuv3zcWr+Sc\n8cOZMrSv7zWny8WvX5zLX2+6kKG9Cvl5RzHvLVvDDTMnJ/x91pmtLFqziQUrN/D1ql+orGvwbVOr\nVEwY0p8Thw9k0rABjB8+gNwMv/peyVAHKMGoVCpSUzzBFYLEIEkS3fJz6Jafw+kTRvou2IfKKvnp\nl+38sGkHP27awZZ9h1i0djOL1m4GID8rgzMmnMCZE0YybfQQ0qKdxR0DCGE6DmlRnGqupbzWSmlN\nPV2z0ptFyY9H312Aw+Wib0FugI9p4dqtPHXtuQFtf//mZ1w1dRxDexUCcOPMyby5+OeECVODtZEF\nKzfw4dJVfLtmEzY/30bfbl2YOe4Epo0ZxkkjBpNuSvFtk4XBX9COdM/P4dJpk7l0mud3UFpVy7L1\nm/lu3RYWr93M4fIq3lq4nLcWLken1TB99FAuOGksZ08aRVaaqYNH3z4IYTpOCStOmf+jt/NK9FoN\nR2vqWbf3EKP7eGZFDqeLZz5exOuLfwZgZFG3gP6OVtdRmJ3he/7u0tWYDHoumDTS99qAbvkcra6N\n6/twulwsWruFdxf9xPyVG7DaPD4TSZKYNLQ/syaP4qyJIxnQs1uzOek4mBEJOg9dsjO4dNokLp02\nCVmW2bLvEF+tXM9XKzfw87Y9fPXzRr76eSMatZqpo4ZwyanjOGfyKDL8bq6ONZJfmNRqXyoaxVIL\nwSjYqiOt32k1ibrTbqdSC0apkMG1s9mW8TIOdR01hu0U58/l2mnjeO3rn5j+6D+ZfsIA9DotK3cU\no5Ikrjh5DHO/X8vIvj2R1BrfMfMz09lXUU1Bbhbr9h7mizWbeeeBmzyfk/f9HKkxU5CdCX6O3hBf\ngL9fScFvtOPAEd5cuJx3F/1ImZ/YTRzan4umTuSCUyfSNTc7YN8mq3jomqfWr2OKynfRVn9JkK0/\nGidwbP6oDgh/j9NNQqJ8SiHHiaJtyGfhX8pCYb3R0IF9GTqgD/ddexFHK2v4csUqPv1+Nd+v38q3\nazbx7ZpN6LVazpw4kstnTOaMccM9gTiejgMPGS9/VDCqVqxxcrU9fCH5hUmQUIyuPAbX/qZZnHTb\nuPm3A8lOm86879fz3aZddM/J5MqTx3DfhTO47eX3ABjVp3tAP6eNHsyb366kb0EeD7/5KXN/96uQ\naKr3lq3mzHHD2zzWRrudz1as5T9fLmXFpuYopwE9unLlzJO4bMZkehZ40ySJWZHgGKAgJ5Obz53B\nzefOoKK2ns+/X837i35gxaYdfLp8NZ8uX01OeioXnzqBK087kbEDeh8T66aSPyrv5d/7ovLEjKkV\nRDMmv+NY1eU+cQLItA9hQMMNLa9zCkrMWllnZuydf6Z7bhav3XUtg3oUBLT9dt1W7nv1fVb+4yGM\nflF5rZkxHSyr5LUvvuP1r773BTGYDHoumTqR6886lXGD+gTMwkLGBwHfh842Y4oGMWNKHpRmTBEz\nNCgUFZRcLg6VV/HBdz/x7rc/sKX4kG/boJ6FXD3zRK6YPpmuOZnxi+ALRum74h271WYn+9J72hSV\nl/TCVPHaI83C1FZBiXSxbo9s0vH84URxwYvmnFlVZWxN+wcOlVecHEMZYLkRFVrlND7ebQ/8+0Pm\nLf2Z35wzlaumT6J7biYHyqp4/dufeG/Jz7w/5zaG9+2pOIamNESyLPPj5l289PHXfP7DGl8qmRH9\ne3PTrGlcMn0S6WnNkXQRxcY/DD1C24DtkbKWKyC3UZhCskkrHiQKMekowfMfQgf9DjpkBq0gNopC\nFLzd7WpxmyzL/LKrmLnfLmfetyso9y5+V6tUnDbuBK467URmTR6NvmnJjYI4RiNiwYT7flhtdrIv\nvEMIU4sIYWppY8hLLYqTpG95DJKKldv3smjdVq6ZPokXPl3EV6s3UV5TT9ecDM6bPIa7Lj7dE5Id\nIa+eU4ZPvl/N3z/4inU79wGgUau58JTx/PrC0xk/pF/zzNkvl54Qpta0FcLUrrSDMPnv63A6+fan\n9fzv6+9Z8NN6nC7PftlpJi6fcSLXnnEyJ/ib4IUwRY8QJqW+EidM0II4WW/2zJzCjSFC7SNZpWlx\nW9O+DdZG3vjqe/7x8TccLKsEIDcjjZvPmc7N50ynMDcrNKxbCJMQpla3PfaFCTxmPoDymjo++O4n\n3ly4jE17Dvi2n9C3J9fMnMKl0yaS5792L9x4hTCFIoRJqa/EChOAVVPOVtP/tSxOcRKm8toGXv5s\nMa98vpjqejMA/bsXcPvFZ3DVzJMD/VFCmMIcRAhT69oeX8LUPAQXG3bv582vlvHBkpW+35hGrea0\nscO4fNokzp40khSDXghTa2gSpsr/Pt6ckiiaqrRKgqK0b7wu+rGQqOCHSP0GiY1VKmWr8XkcKk84\ndqZrOANst6BCG3TxVhamwEAJj5gcKqvk+fcX8MZXy3xrjyYM6c89V57LWZNHeyL6lATDr69w2+SQ\nkhktf3dCBCRAxJS/D4oX2nYIfohGMCIKXkcEP0RDDL8Lpc+xvQIn/D+r4M9CChKfgLIXwcIURVv/\n75LN7mDBj2t45+vlfPPzRl9arlSjgfOmjOWSqROZOnoI2qZAIiV/VDABQtoc/JBz/mwhTAEIYYq+\n3zAX75bESfL3OUUhTLuPlPPsvC+Zu+gHHE7Pj+iMCSO59/JZTB4+MDC6TghTRIQwtQ4hTIFtS6tq\n+WTJSuYu+oE12/f4Nuekp3LeSeO46JTxTBne30+khDABQpjaTJyFCcKLU3/7r/3MepGFafO+g/x1\n7nw++n4VbreMSiVx8SkTuPeKcwMi9QIStwphiogQptYhhClcW8+23YeO8v53P/Hhkp/YfuCIb3tW\nmokzJ4zgnBPHMH30EFKVcvYJYfIihCk8CRAmAKu6jK3658KLk4Iwrdq2h7/MW8CClRsA0GrUXHna\nFO67fBZ9u3UJFQkhTEKYWkIIU9RtWyNMzZtcbNl3iA+WruTzFWsC6kvptBqmDBvA6eNPYOa4ExjQ\noyBwXelxJ0z/e7JZmNp4EYgoIMdw8EM07y2S38jKUbZp/4JD8oqTewT9XbehkgIr4cpILF2/lWfe\n+ZzvN24DPKn9bzjrVO684ly65/slhw0WH1XLKYmCxSZgvCHbWhYbt5JoBfUrE4WYBxGvC56i+ET4\n+UoK9a2jCmhIhstEFN97pXMfy2cazXEUgxSCPpcQ8YlCmAKehwheUJHGKAIwduw/xBcr1vDlijWs\n2b43II1St7xspo4eyrTRQzll5BDPYl5fP81lL3Jm3SKEqcVNQpjCE6UwAeHFyf1bVGhxu93MX7mB\nZ+fOZ7XXbp2eYuSW82bw24vOID8rI0yNJSFMkRDC5EUIU+TncRQm/1lQZXUdi1b/wjerNrJ47WbK\na+oCmvYpzOfE4QM9pWSG9qNfty402h1CmIQwteG4bRAmaBKnv+KQagBId53Aum/H8Le5X/ts1Dnp\nqfz2ojO49bzpZPpnaBDCFDVCmLwIYYr8PEHC5G/2c7vdbN57gCXeMh0/bd6JudEWsGt2molRA4pY\nvHbzsSlMVe8+E7CWxUcS+JgStjYiBjFU9nlECFJQaht0XqxSKVukp3B5fU4//QRz5kCXrBxuv+Qs\nrj97WnMROv88dSGi0LL4KPmUPNtb7lfJ5xRyYVIQx0jiIuM3ho7wVUTId91WUYsoWh1x2YiTYET0\nXfpvI4q2Qf0q+fRUcuvFRiU7W902sj9KQZiC2/r3oyBiTqeLX3bv44dfdvDjpu38vGU3pVU1vu1C\nmPwRwhRKnIRp/9FyXvpkEV9v/I6nnnaQm+t53VzWk8kZj6A3pLa4rxCm2BHCFBkhTOGfJ0KYPM8D\n8/cdKqtk+YZt/Orpf7VJmNrnlyTo9MiyzJJ1W7l0zt8Zet0DvPjx1+za4+C91/rhtnuqapryD7Bf\n9xJu2dHBoxUIBB2FJEn06JLLBadOaHMfoh6TQJGqugbmLf6J/yxYyrb9Hv+RVqPmsmkTuOPiMxnR\nrxdWqZRt8pM4pBpqpA3s4nn6y3ejkrQRehcIBIJQkl+Y/CrYttkEF4PZL27mmXiaedpYcyl0W/gA\nAbfbzYpNO/nv/CV8tnwNNodnBlSQk8mvzp3BDbOm0SUnCwAZMEg9GCQ/ynb5jzioppb17OIF+kn3\nesQpmvVGAW0VAiNQNrnJUsumvZB+gsw1bkVTXuu/K4nKladsZms551o0/UYyEbZ+PIkjGhOc0n4h\n37OA7cqmvABzssIxPT01n1NVsMlNFfhc7R+04AoyEQaNwf+5KsQEH/RcIQdfcNvA8hoRvsvhTITB\nv+0oSH5hErQb2/YfZu6iH3lv8Y++DN+SJDFj3HCuP3sqs04c05yiJAijVMggHvETp3Xsdv+Nfqp7\nUdH2L6hAIDj+EMJ0HCPLMluLD/PZirV8tmINm/Ye9G3rkZ/DlTOncMNZU+nZJTc0s3cYWhanB4RZ\nTyAQtBohTMcZVpudFZt28O3qzSxctZHdh0t92zJMKVxw8jiuPO1EJg8f5MnwHSVGqZBB0hy2ux9v\nFifXX+mnvl+Ik+C4QpZlqqqrKTlaSteCLuRmZ3X0kDoNyS9Maq3nEUyEO/iowqaj6LfV/cRCW3Os\nQciYbHYH63buY/kv21nxyw5W/LKdRntz1FxuRhpnTx7N+SeN55QxQ5tLMEuqQC+Dkh0+yJasl3ox\nUP4jOxyPeMRJXstu97P00f4elSrwK6cUPh68EDY0JFytsC3wPLj92oYssFXyMUXyMbRDuLiSDyfY\nFxTc1n97SH62NvqqQsfX8StOostp2Hq/kTvYVxn8XfHb7lJp+OWXX5g7dx5btmyheP8BzOYG3/as\nrEx69ujJgAEDuPm6qxk0cIBvm9odGMnqPyZ10DFVQYtmJf/g6uCQ9eDn/n4lJf8TBKQgiqZ+lOw1\n3cvqtvsek1+YBK3G5XKz92gp63bsY93Ofaz1/vUXIoBRA4qYMXY4p407gYlD+6PxBpe0xlzXWgxS\nNwZq/cTJvYa9jj/TR/cHMXMSHFPY7HYWfLWQN95+h40bfwnYlpaWRpcuBZSUlFBdXUN1dQ0bf/mF\nDz/6iHPOPou7b7+NPkW9O2bgSYwQpk6GLMtU15vZW1JGcUk5ew6XsuNgCVuLD7PzYEmICAEM6d2N\nE4cP5KQRQzhpxGC6ZGe0y1ibxelRHFR5xMn+1HElTrIsY7Vaqa2ro66unsbGRlxuNy6nE7cso9Vq\nMej1GAwGTCkpZGVlotOFWVAuSEq+X/EDjzz2BPsPHAAgIyODSy65mNNnnk7PXr3Jzs5GkiRkWaay\n7Cj7Dxzgq68W8u7cuXz+5Xzmf7WQqy6/jMcevAed7vj4TbSGpM/8UPnJi82ZH9pqgoum3EMkEhA+\nLssy5kYbVXUNvkdZdS3lNXWU19RxtKqGI+XVHKmo4nBFFfWWxha77ZaXzagBRYweWMSogX0YPbAv\nuZnpLYxBKVdey7nmIrUNNqs1yiXstP0Oh1wFQLp6PH0MD6OSdIoh4W5J2ewX2DZwW4gZUGo5DD1k\nXyk6U57D4WBfcTHbd+5k165dHD50mMNHDnP48BHKy8txOKJbcJyWlkZ2djb5+V3o0aM7Pbp3p3uP\n7vQpKqJfv36kmUy+ttGZ8lreFrw9ckYJBTNPCPG6xLQ984NSWLeSebal70ZFZSV/evIpPv/iCwD6\n9u3H9TfdylmzzvdlOXDKgfuqpebzVF6yj3++9CIfffgBLpeL8WPH8K8X/0G21w+lcdub9wsy86ld\ngc/9s0hIrmAzX8s5+YJD1oNNeQEm2kiZHwL2a8oubiN/6mXHZkqiziJMTpeL6nqz99FAdb2FmgYz\nNQ0Wahss1DaYqTVbqW2wUGe2UGO2UuvdXtNg9lVzbQ0mg54+hV3o3TWPom5dGNizkMG9uzOoVzcy\nUlNaNV7PtvYRJiQVje7DYcVJUulb3DdZheno0VLWrF3LqjVrWLt2Hbt271YUH71eT0ZGBmlp6RiN\nBtRqDWq1CpVKhcPhwGq10tjYiNlspqamBpdL+btQWFhI//79GD50GCecMIwRw4eTn58PCGHyHTGB\nwnTgwAGuuvY6Dh8+jMFg4Le338kNN96EpAn87TUJ087qrfx13RweHDOHgVlDANBKHuHZvHkTv771\nV5SVljJq5Ag+ePdtNBrNcS9MwpQXAbPVxqHySg5XVHOorIqj1bUcrayhtLqW0qpaKmrrqaipo7rB\nQiwab9TryE5P9TzSUsnLTCcvK528zHTyszLolptNt7xsCnOzyEoz+Zya8fQLJRKDqhsD9E/7xKnO\ntYq9jX+iyPhISD2nZMPpdLJ2/XoWf7eURUuWsHfvvpA2PXv0YMDAgQwY0J+ePXpQ2K0bhYXdKSgo\nwGBQqPwZhNvtpra2lqqqKo4ePcrBgwc5fPgQBw4cYM+ePezds4cjR45w5MgRli373rdfYWEh48eN\nZdL4cUwYP45ePXuGOL4FsbPxl1+4+ZZbqaysZMQJJ/C3F/5Bz56eCszOFn7+XxZ/xM+lK/iy+BOf\nMDUxbNhwPvzoUy67+ALWb9jIK6/9h9t+c2ui30bSk7AZ07x583jppZfYuHEj9fX1OBwONC0szgxH\ne82YZFmmoq6BXYeOsuvQUfYcLmVfSTnFR8spLimnsq6hxX0DDiFJZKamkJ2eSlaaicxUE9lpJjJS\nU8hINZFhMnr+N3kfqSYyvdszU1MwtNGvEFGYkmTG1ISVEnZZHwiYOfmLU7LMmGRZZsMvv/DBx58y\n/6uF1NTU+ranpaYyevQoxo0dy9gxYxk6dAgmkynULBmnVJT+d71Op5ODBw6wffsOftm0iU2bfmHz\n5i3UNwR+T7t1K+TUk09i6sknMXniBEwmk5gx+UbTthnTt4u/44577sNqtXLi5Mn888UXMaY3h4A7\n5WYfUYn5CDV2M7Jcz+ylv6LMWkq+sYDXpr2LjEyWzkBXU6Gv/c/LF3PNDTej1Wr59IP3GDGor2/b\n8ThjSpgwff3111RVVWG1WrnpppvaLkxfvNJCdvHoL8jV9WY27TnAluLDbC0+xLbiQ2zbf5jqenOL\n3ei1WrrlZdM9P5vCvGwKc7Ppkp1BQXYm+dkZ5GWmk5ORRnZ6KhpNgpyXMdz5KopNyHH8/F4Ryl5E\nUwspOHVQo+sQuy334vSKU5pmIr1Nj3l9Ti2HgCuJT3AKomBhCggXVzDd1dTUMO/Dj/jwww/Zs2ev\n7/XevXszffoMpk2fwajRY3zf5YBwcTlYmOIzYwkREEkO2OZ2u9m5cwerVv3Mqp9XsnrVKqqrq31t\ndFotEyZOZOaMGcw8bQZ5eXnh+1UQpmhMhJHGnwginevAGlvKwhT4XfFsmztvHo8+Oge3282FF13M\nH//0FFqtNkCMbO7m69SoufkRx7zlqsO+//VSI3PmzOGdd96mX7/+fPnRPN/F3N+sB6Hh4v5CFTFr\nub+IRRECHrIkQEnEvFgbbXQ55cLkEqYmli5dytSpU9tdmEpr6lm3Yx/rdxWzYVcxv+w5wIHSirBt\n01IM9O/RlQHdu9KvR1d6F+ZT1DWfXl3z6JKV0fqFpkm4rikZhQloUZwklTHsfpBYYSrev5//vvEm\nH370MVarFYCcnBzOP/8CLrjwQgYOHOQ5TvBFLQmEKbit2+1m8+ZNLFu2jOXLlrJh40afmVmSJMaO\nGcOsWWdz9hlnkJOT3byvECYgVJg++eRT7n/gAWRZ5o477+a2397uM5O2JEw/H/2eN7b9m5VHF4aM\nZXLX07lpyA1MLDjJ95peasRisXDBBeezZ88e/vTYo1xz5eWAEKaE0FphcjgcOJ3NJ9xqtZKTk9Mq\nYaq3WFm/q5jV2/ayZsde1uzYx+HyqpBdDDotw/r0YGiR5zG4VzcG9+5O15zM+PhshDB5t7WuvpFH\nnO7DKXvy8qVpJtIr9Y9hzXqQGGHas3cfz/79H3y18GvfxfukKVO4+uqrOeWUk1FrA/1DnUGY/FHh\norKykiVLlvD119+wYsUK7N5ADbVazYmTJ3HeuedwxsyZmIyGlvs9ToVp3gcf8YeHHkKWZe6/7z5+\n9evbAtq2JEwA1dZKXlkzmI8Oe/xPGknL5QNmc9uIx0nXBlpp9JIn0vaLLz7n7rvvZviwoXz58QeA\nEKaE0Fpheuyxx3j88cdDXg8WJlmW2X24lJ+37eHnrbtZtW0PW4oP4XYHvo20FAMj+/Vm9MAiRvbr\nxYh+vejXvcCzmFTJ5ySEKXS/MPvGQ5gAGuUj7G64p1mctJPoZXrCY9ZLoDCVHD3KC//4Jx98/Aku\nlwudVst5557DTTfeQH/v7AjAHZSAtjMKk2+bLFNf38Di7xbz+RdfsuKHH3w3gyZTCmeefjoXX3g+\n48eORR30Ozgehel/77zDo489AcAD99/HrbfeiisoXkxJmKpq3uWyxXdR4acrecaufDZrKxk6S0Db\nJmGy2WxMnjyJ2tpa5n/6IcOGDBHClAhinTEd/OglthYf5uetu1i5dTertu6morY+YF+NWs2wPj0Y\nN7gfYwf3Zezgvgzo0bXZBBfHcPF2qVIax5RE/kQSm2jaBohG8A87JPjB35kcGtBgcx1gb90dfuI0\nmR7pT4Eq8MusFNDgDhqDSxXo72u62NhsNl7616u8+tpr2Gw21Go1l1x6KbfddjsFBQWetn5BC245\n6L0FCdWQfoV0JFt3Hwl47i9EECgKKinwYlJTXcXChV/x6SefsG7dWt/rPXp059KLL+GSiy9qDkOP\nwR/V0nhiJZrSFkr7hQqTinfffZdHHp0DwB/+8BA33HgTAK6gtUn+QhUsTOWlV/PrlV+TqoFZ/Z9h\nwf5PqLfX8t/TFpMTFKipl2y+///4xGP87603uebqq3hizqMhwqQOEiaVX3BEcECDolAFC1FwoIT/\n5xghnVVLwlRw0nmdW5iCafIxqVUqXO7Ak5CflcGEIf2YMKQ/E4b0Y9SAIowpCiG5QpiA5BUmIKw4\ndct4JiCUPFZh+vGnn3jo0ccoLi4G4KyzzuKeu++iV1G/wLbHiTD5b9u3by+ffvIRn3zyKSUlJQBo\nNBqmT5vGlVdcwZTJEwN8rceqMMmyzEv/epW/PfccAHPmPMbV11zr295aYZJlG3VHB+Jym1FrR6DJ\nXo5W5cLpdqJRaTBprAH9+AvThvXrufSSC+nfrx/ffDX/uBSmhK1jcrlcOBwO7HbPSbXZbDidTnQ6\nXVRZq92ymxH9ejFhSD8mDh3AhCH96d01L2SNRlKuEha0Gr26J33S/4+99XfidFdQ7/iRQ3W/o3v6\n0zGvc6qpqeHxP/+Fjz/5FID+/frxpz/9kbFjxwKgbIg6Pigq6sO999zD3XfdxQ8//MDcufNYtHgx\nX3/zDV9/8w29evbkissv4+ILLwwImDiWcDgcPPLY47z3/gdIksTDDz8UIErR4LL/DLIZtQSS7jQA\nVixZyKcfvMm2TeuprakMsBA1odVqWblqDSqVir379mGz2dBoj7/1aAmbMb3xxhvccMMNIa8vWbKE\nU089NeL+TTOm4k9eIS8rTEqdqLIJR7dvYNv4zJASNtOK53kI8DFFWsfUclZtxSzgEdpaXYfZX/sb\nnG5PBKVJN4VumX9BJelwB2UmV4q0c3lnZit++IH7H3yQ0tIydDodv/3t7dxw860B+eiCZ0WD+vXg\nWGTb7sMBz0NmV36+KxVuysrK+PDDD3hv3lyOHPHMzLRaLaeddhqXX3YpkyZNQqVShWYtb6cZVDQ+\nPGUfk0R9fT2333Eny5cvR6/X8/zzzzNz5ukBs2cI/a74z5j8UxBZah+jseFfAJhyvuTZZz7m/Xf+\ni0qlYuTo8RQUFLBzxzZ279oR0N+gwYP5/IsFnDlzOnv27uWLTz/lhCEDAtqErGvym0FJQTOkkEq5\n/r7BEP9Tyz4nxdlUMN79rI02Ck+c1aYZU8LsUtdffz2yLIc8WiNK/qQqmegExxx6TU96ZbyMRpUL\ngNm+gsM1D+CW7RH2DMTpdPLXv/2Na6+/gdLSMkaPHs2CBQuYPXu2SJLaSvLz85k9+za+W7KM1177\nN1OnTsXlcrFgwQKuve56zjjzTN5++x3q61u3CD1ZWb16NWfPOofly5eTnZXF22+/w8yZp8fUp6Px\nO88/Ugbvz1vP++/8l7z8At79+Bv+++5n/PX5l/h0/mIuvuwqAMaNG8+mLdv56OPPABg0aCAA23ds\nj2kcnZV2cJgIBNERqzhVVVVz3Q038vK/XkGlUnHPXXcxd+48evcuSuSwj1nUajVTp07ltdf+zdKl\ny7jzzrso6NKFPXv2Muexx5g0ZQp/ePhhtmzZ2tFDjQq73c5fnn2WK668isOHDzN06FA+/PADRo0a\nFVO/LudBXM6dANgcJ/Ly359BkiSe+ts/GTRkuK+dJElcfe2NAGzYsB6VSoVW6/GNduvWHYCjpaUc\njwhhEiQlek1Pema9EiBOJdX3RhSnHTt3ce7Fl/HTypXk5ubyzltv8dvbZqNWBxcHFLSFwsJCbr/9\ndpYuXcLf//4CEyZMwGKxMO+99znn/POZde55vP7Gm1RWhq4jTBZkWWb5ih+46JJL+dcrryJJErNn\n/4YPP3ifXr16xdy/w/ad7//vlqRiNjdw8tTTGTfhxJC2ffr29+zjcGCxNIeQ52R7/HhVVdUh+xwP\nJH0SV1mlbvZDKPlToolGUyJea4YSSZx8ZEp+pJC1SApResGRdkoRfNHktNNo+tI95z8crLwZl7sc\ns205R6rvo2v280iSzudHaup38eLvuOveezGbzQwfPpx/vvwKBQUFuAiMphrYryfHI4P7dVPc7u+D\nkhX8TwBqrYGzzj6Xs84+l717djN37rt8+umnbN22jSee3MZTz/yFk086iTPPOpPTZ8wgNTU17DHj\nFaUXeR2TpybS0mXL+Mc/XmLjxg0A9OjRg2effZYxY8Z6+wmMylRatwbhox6djYt9r61eVQ7AzDPO\nRCs1+4Ka/Hv1DTWAx3fnf46ayl9UVVVFDm/3+w2pglw/7qCfbYDPKTh6NmgdXkAkXsgavZavK5L3\nPITkzIwCMWMSJDU6TS965PwbtcqT381i+56SqruRg2ZOH3z4EbfOno3ZbOacWbN4d+57vnVJgsTS\nt29fHn74EX744UdefPElpk2diizLfLdkCfff/wATJp/I3ffex6LFiwNmBe1FXV0d7777LhdceBE3\n3/wrNm7cQFZWNvfddz9ffPGlT5TigSzbsNtWAKDWDmPn9j0AnDBydNj2v3gFcsiQoQGz+mzvjMk/\n5+HxRNLPmASCJnFqmjk1iVN+zj+QJB1vvf0Ojz7xJwDuuP233Hn77bhVohpoe6PX6znjjDM484yZ\nlJeX88033/D5F1+yZs0aPvv8cz77/HN0Oh2TJk1k2tSpjB83jgH9+ka1fKS1VFZW8fOqn/n6m2/5\n5ttvsdk864SysrK49dZfc+WVV5KSkhKhl+hx2FaB7BFfnWE6VVWvAZCaFr5Y59cLFwAwbfqMgNeb\nZk9mS8sJpo9lhDAJOgU6TS+65f6XwxU3+sSptPIOvvh8NE8+/TwAD//hD9x4w/UdO1ABAHl5eVx1\n1VVcddVVHNy/ny++nM/i775j4y+/sGzZ975aUmlpaYweNZIRJ5xAv7596VNURFFR76hEo6qqil17\n9rJnzx527NzJz6tWs2NHYBj25MmTuejCCzn99JkYjKYWeoodXzQeoDNMxWSai9Vi4eD+feTn5ga0\n3bL5Fz775ENMplQuveyygG0m7/u3mNt/hpkMJL8wqVQ+W2g0ed8S5ldqLz+SHyG+oGhQWpsUchyF\nGkshNWv8+lXI9ABB640UfErB24P9UWptP7rmvklJxXW43OVYbcswpS9Dq4VHHv0TV1xxpc8zErxC\n/3j1K0WDvw8qJKNE0PoYf79HaEaJwM+/W68+/Pq22/n1bbdTWVHOsmVLWb58OWvXrqWkpIRl3y9n\n2ffLA/bJzMwkKyuL7OxssrKyPDkuvdjtdqqqqqiqrqaqqoqGhtBwdb1ez5gxY5g0aTLnnnsu3bo1\nv7dIfiMlQn1ize9dDdgbl3jaSRnodSMZP34SC+Z/xqsvPc9L//qPb6nCnl3bueuO3+B0Opnz2EPk\n5uTgnybAaPLMmOrr69ntV34FQj8LnUZF756etXeRrnv+PqfQ9WdB/jOpZR+TUj2mprbBv+1oSPrS\n6uWL38Wo95TfFsLUBo4hYWoKdnA49rH34GXo9J6ciTU1gxg67BMkqblMuxCm2IhXqqNggreVHDnM\n2nVr2b5tO3v27mXf3r3sP3BAsVR9MCaTiT59+tCvXz/69e3LqFEjGTFyNHq9Pmz7aIQppK1Col6n\n8wgVRycCoDeeQ2bOy+zds5vLLz6HhoZ6unXvwYgRo6iqqmDN6lXIssw99z3Azb+6FVXQAtaqilIm\nTJxEitGIxRqYviiYgi75rFn2LQCqkFRBwc8Dk/oqtlVK1NuaQoGNNrpPnJlcKYkEgkTx3dI9PPlM\nA3/7G+TmQmbmdiorZpOT+88AcRIkP4WFXSksnMU5s2b5XnO5XNTU1FDtnRFVV1fj9suXqdFoycrO\nIicnh+ysLNLT08OkKGv/G0ibd7YEoDdMBaBP3368+/5nvPj3Z1m9aiXffvMVOTm5nD3rXK6/4UaG\nDB0Wtq/0dI9Pyma3s2/H1oD3FzxjCn5+LJD0wuRWaXGrwziy21DBtomoZiDtNEOKaVYU0E/bUzEF\npm1pfdmLkBREQXeZbS1P4ZJCUxCtWr2a2+++F7tdZv2G6zl95gLc7jIaG5dQUXEbWTn/QpL0YoYU\nI8HJaTfvLgl4rva7ww+eRSjNoELDrUO/k5JaTVZOPlk5+fRpoR//vmSiy5UZMbRcoZSJEnY//5Le\ncLIvjU///v34+4v/CpyBSMoj1ul0mEwmzGYz9WYraWnNoeRyyHlofh6cKEjp6iVLwTOm4FIn/imJ\nFMx8oR17/ohwccHxQPH+/dzy699gt9u58ooruP76R8jLfxeVylOawdb4HdWVv0aWbRF6EgjiiydM\n/AcANNphqNWRS6tHomnWVFNz/IWMC2ESdAqsViu3/fZ26urqmDF9Oo/PeRRJktBq+4QVJ7dbiJOg\n/bDbViN7w8SbzHix0sVbC6vk6PGXlkgIkyDpkWWZ3z8yh23bt9OrVy+e/etfAhYjarV9yMl7L0Cc\nNm++SIiToN2wNS71/a83nBqXPnv28pij9+/fH5f+OhNJ72NCpfYLF29rSqI4RvApESc/USwoF0hr\nfcHEaEqrB0fPhaYzajkqLyRFUZhSFq+/+Saffv4FKSkpvPzyy6SmZ+ImMHXM0MGnYum1nA0bTsVu\nL6Gqaj6bN1/EsGEfoVKJgIhYGdava8Bzf59TsCfBHeR+UPKtKKX4CSZepeoj+pii8Cs10Rwmno5W\n50kCG1L+Q/L32UT2ivUp8iQd3rtvX+D4lKIKg9MVBfXpvzU40i4k8ta/WwX/UzBN/qjg4p3RIGZM\ngqRmy5at/PmZZwB4+ulnGDBgYIttU1IGMHLkUnQ6z0W0SZzEzEmQSLZWLOXOtbvY0+ANegjOHdlG\n+vTpC8D2oMXCxwNCmARJi91u574HH8TpdHLtNVdz1llnRdxHiJOgvflsz2usq4FFZZ5sD/FizBhP\nfr1Vq9dEta7rWEAIkyBp+ceLL7Fjxw569erFA/fd1+r9hDgJEk2J+Qg7a3awq2YHCw6uAmBRKRy0\ndWdnzQ5KzEci9BCZgoIC+vXti8ViYf2GjTH315lIeh+TW63BrQ4dZkS/kIK/JxafUkcs3IuKWN63\nUrl0hdT7Sj4lUM7m0NLz1WvW8PIrryBJEs888xcMprSQMtcD+rZcO6dJnITPKTH4+5yC1zipgr4r\n/lkjgv03Ib6WdnDTtsWH5NvXO8Cpn04K2VZhh/O/as55t/2qtgctNF1nTpwyhd179rDihx8ZN26c\nZ2PIb9M/dVCQV0nB5xS8KFkpE0Twbzp4DVTgfl4fk1jHJDiWsNvt/P6hR3C73dxyy62MHdu2sgRi\n5iSIJ7LswNa4nNrqh3huRAYTs8O3O6VwGq9Pfycuxzz55JMB+PyLLwKyXxzrCGESJB3/ff0N9uzd\nS+/evbnjjjti6kuIkyAWZNlGo3UxNVX3UVoyluqKq7Ca/8eozFr+PBwu6w4a78RDI0ncPOTXvDL1\ndSYVTInL8adMOYnu3buz/8ABlixZGpc+OwNJn8T1yI/zMRrCJHENIioTWxRh3e1WlTZexGDKC0jF\nEhI6qpTUteUURMH9RjLlHTxaxszTz8BqtfLf19/kpJNO8m3r17dIcfxKWCw7fWY9gOzss4VZL0GE\nmvZaDpOWQgKa/be1z6UpJIWW24y9cSmN1q+wNX6HLIdmL1epuqA3nMG5Sz6nrLE5M0MXYwFLL1gZ\nYiYD5XBxpef//c+/eerPf2bSpEm8/b+3Qkxu/rnyQvqJJjFr8HiVkvG2KolrI31Gn9imJK6d7Kor\nONb585+fxmq1ctaZZwaIUqyImZNACbe7Fqv5I6orfkXZkZHUVP2GRuvnAaKkVvcgJfVWsvM+Ja/r\nz+jTHyJdn8fwdHhwIJyQmUm6Lh2bK77fqUsvvQSTycRPP/3Eli1b4tp3siJmTBEQM6am54mfMW3d\ntp2zzrsAvV7P4kXf0qVr94C2scyYmhAzp8TTWWZMLlclNus3WK0LvXnuQkOyNZr+6I1nYTCegUY7\nJGQm5HQ7qSwZiSzXodNPJiPnf2hU4WPK2jpjknDz1FN/5j///S/jx41j7jtvt5htXMyYBII488yz\nzwFw5RVX0LVr1wit24aYOR3fuJwlmBtep7LsMspKxlJb8zvstqX4i5JGO4zU9AfI7fIduQWLScu4\nF61uaFjznEalQVJ5Mn/L7oYWRSlWbrttNtlZWaxavZp5772XkGMkE8kfLq7S4laFlr1IVCHATjdD\nCiKatC2RZkVKbf1nSUozJAicFQX307Rt2fffs2z5ctLS0vj1b2Yjo4pbCppgRCh5YgkJx/abKYR+\npoHfB/8ZVLw+f6ezGJt1IY3Wr3DY14dpIaHVjcFgPBO98Qw0mh5R9a+SUj0psmRzm8eo9F4lICMj\ngzmPzeHOO+/iqaef4eSTTvJV5Q34TUUIF/ef54SUsggpp+G3LSR9Ucv7NoWWxxIunvTCJDj2kWWZ\nZ/76VwBuu+02cnJyEn5MIU4dxy8b1/Pt1wtYs+onSkqOUFtTQ15+PiNHjWH2bXfQp2+/mPqXZRmn\ncyc261c0WhfidGwN00qNTj/RK0ano1Z3afPxmmdM9W3uozWcfdZZfLXgKxZ+/TW333kX7779PwwG\nQ0KP2VF07umB4JjguyVL2b59BwVdunDNNde223GFWa9jePyRB3nnrf/ilmVGjhzNyadMRZZl5n/x\nKZdcdA779u2Nuk9ZlnHYf6G+9hkqSqdRWXoaDXXPBYmSDr1hGulZz5LfdS3ZeXNJSb02JlECkCSv\nMMUwY2rdcSSeeOJxCgsL2bBxIw/87vckaYhAzIgZk6BDkWWZf778MgA33XQjen37zlbEzKn9uXX2\nnZw45RRMqak+E5Db7ebJJx5h7jtv8sF77/LA7x6O2I8su3HY19LonRm5XYdC2kiSEZ3hVAzGs9Ab\npqFSpcX9/Ugqk3c8ZmTZjZRAd0BOTg7/fvUVLr3scr6cP58ePbrzwL33JOx4HUXSC5OsUoct0RtN\nhFm0+3ZmoinRrnwelKLwAo+jlK4o+HlwVN7Kn1ezfsMGsrKyuOyyywL66t+3t9Lw44YQp/gyvH9B\nwHP/KD0VMjPPONv3vOnzllRqzrvwUua+8yZHjhzxRdl+teALvvj0I7Zs2YTZ3ECfPn256VenMWli\nOTbrQtzuspDjS1I6euMM9MYz0etPRVIZ/Y4XG+GiCFVSs9i5ZYvveYjPJqCORHC/SuU+An9PAwcN\n4oW/v8Att9zKy/96BY1Gw1133IEkSSGpgxSj9BT8T8Ftg/sNJtz4g3/r0ZD0wiQ4tnn9jTcAuO7a\nazCZTArBw4lFiFP7YbVa+WH5UrZu2UR1VSV2ux1Zlikv81RqTUtrvtC/9fprdO/RnfsfuBi9fjPf\nLfqJu+/4haeegkl+6eokVTYG4+noDWeiM0xBknTt9n6aZkzQZM6L/6wsmKmnnsrf/vYs9957H/94\n8SXKy8t54rHH0GiOjUv6sfEuBJ2S0tJSlixZgkaj4fLLL+/o4Qhxagc+eO8dnvvLk9TV1bbYpm+/\nAd7sC0v489P5pBiasy+cMAwOH4YPPoATT+yC3ngmBuNZaPXj41YHKVokvxmT7K4HdYFC6/hx7jnn\noNfrufvue5j33vuUlJTw9xdeID0t8cKYaJJemNySyjclVFxgm6Bs4qG0NYS1o5yUbTPtRaz6q7AY\nN6SiLeHNfq+/9T9cLhdnnH46eXl5Ids7AiFOieP9uf/jj48+SEHXQu689/eMmziZwq6FGAwGJEni\nlhsv44flK+jebQHlR54BGjHqwd+/r1b3ZPCQLBYvLiG36+qE+nPCEW4hf1NUHgSGjCeuOm/zGGbO\nPIN33s7jlltuZdn3y5l17nm88PxzjBo1qqnj4MH6HTNoU0hIeMumOKXQ8tbsH4lj19kiSGrq6ut5\n5513Abjlll918GgCEdF68UeWZV7+x99Qq9X8938fcumV11LUpx96nYVG87vs330ZP/+0AkmCol6r\ngUbfvmrNAExpd5Kd/zU5BT+wdauBXr0GtrsotUTIjKmdGTVqFB999CHDhg3j0KFDXHb5FTz3/PPY\nbJ33+5ocn6zguOPTzz6jwWxmwvjxjBgxoqOHE4IQp/hSWVlBRXkZObl5FHbTYW34DzVlF1FRMpL6\nmgd46cUVOJ1QWAgmE2i0w0lNf5CcLkvJLfiO1Iz70eqG8s3C+axd8zPXXHdTR78lH6E+pvanZ8+e\nfPD+e/zqVzfjcrl46aV/cs655/LtokWdMqRcCJOg3ZFlmbnzPGlVrrzqyg4eTcsIcYofqaZadDo1\n5WVHWblsLOaaR3Daf8LpdPPGGzB/vqfd4CFDyClYSXaXhZjSb0ejbV5su3fPbuY8/CDnX3gpp06b\n0TFvJAxN65igY2ZMTeh0On734IPMm/suRUVF7Nmzl1t/M5tLL7+C1WvWdNi42kLS+5hcai0udWhK\norb6TiK3bR8fh1ISxEQRVSh5pBBwpYSvEfZdt349O3bsICc7m9NOOz2pqwILn1PbkGUZi2Ur5eUf\nUV36Hi7HVs48Ez77DG6/HcaOBZ0OtmzRoVIbmXXuiXz5+QKGjzgftTclkP/3qLy8jFtvvoaBg4cw\n54/PdJgvMpyfSCX5+5gsvu9zcGh5wJiDC/dKwT6btvmcAMaOm8CXX85n3ry5vPTii6xdt47LrriS\nKSeeyPU3XM8pJ5+MSqUKuQZFCjUPHF9kYgkXT94rguCYZd577wNw8cUXodO1X1hvWxEzp9YhyzL1\n9WvZu/cPrFo1mNWrh1FcPAeXN/vC7NlwzTUqcnMNrFunYV9xL8678Fd8tuAnHA7PpWjI0OEh/Zob\nGvjNzddgMBj5v3/+J+m+M/7BD7I7tHZTR6DX67nuuuv57rvF3P7b35KSksKKH37g5pt/xbTp03nl\nlVc4UlISuaMOIunLXuxdtwJj2HxQYsYULckwYzJbrIyfNBmLxcLib7+hV1HfgLZuv3ul9lpg21pE\nyYxQZNlNXd1PlJd/RHn5x9hs+0MbSUZ0hmnojWehNcwIyL6ginDv7XA4mP2ra9m1awfvvv85hd26\nK7ZPNOFmEU7HXipLPSXQU9JuIy3j9962rS/pETxjUmwb4XngNs8YampqeO/993nnnXc5fPiwb/sJ\nJwznjJmnM/O0GRQVFQVkUI+17EhjYyODh49oU9kLIUwhbYUwQeKE6ZPPPuee++5n9KhRfPj+e6H1\nmZJYmECIE4Db7aCmZhkVFR9TUfEJdvvRkDZqdQa5ueeQm3shR6tPQFKlhO0rkjA9+tD9fPzBXB55\n7CkGDR4asG3EqDFtfxNtJNzF2uUqo6JkNABG03WkZz3pbZs8wtQ8VhfLV6zgww8+ZOmyZVitVt+2\nLl3yGT9uPBMnjGfUqFH061OEVhvOjdI6jmlh2rP+J58wxXJhVWybBGGnkYp2JYKoBFtBbKIRsWuv\nv4EVP/zAH594nCuvvBI3gcIUj2KAieZ4FCe320ZV1bdUVHxERcXnOJ1VIW202lxyc88nN/cisrKm\noVKFmtyUigiG47RTJ3DkcGgOPIAtuw6Hfb29kd1Wyo94gjQMKReRkf33sO0SJVSK/Si0tVqtLF/+\nPQsXfs3y5cuprg78THVaLf3792fQ4EH0KepDz5496dmzJz16dCc9PT1sfSpovulubGxkyPAThDD5\nI4QpMu0tTHv37WPGzNPR6/X8+MMKMjMzO6UwwfEhTk5nA1VVC6mo+IjKyvm4XKERZzpdIXl5F5Kb\nexEZGVNQRSiUF60wdQZkWab8cE/Ajd5wOpm5/wnbLtmEyR+3283u3TtZ9fMqVq1axebNmzlw8GCL\n7fV6PXl5eeTl5ZGTk0NmZgYZ6RmkZ6STZkrFZDKh1Wq557772iRMSR+VJzh2ePvtdwA479xzyczM\n7NjBxMixGq3ncNRQWfkFFRUfU1W1ELe7MaSNwdCHvLyLyM29kPT08Umz0LWjkCQJSUpDlmt9qZM6\nGyqVioEDBjBwwACuueZqAOrr69mxcyfbt23nwIED7D9wgIMHD3L40CEazGYOHTrEoUPhZ7OxkvTC\n5FJpcLWiXHFnmyEFE1xNsqOJJnt7a85nQ0MDH370EQDXXHtdUoeIt5ZjRZzs9nIqKj6lvPwjamoW\nI8vOkDYpKUN8YpSaOqJFM04k4jlDcifBb6bp/UgqE7KrFre7oTljekjanubvvGIoueeFlonibUeX\nFinQemFKy2T0mPGMHjM+ZD+z2Ux5eTnl5eVUVVVRW1tLbW0NNTW1mM1mLBYzdXV1LFq0qPWD9SPp\nhUlwbPDxp5/SYDYzbtw4Bg8e3NHDiRudVZwaGw9RUfEJ5eUfUVu7HMKYmVJTR/vEyGQa1P6D7EQ0\npSXqrDOmaDGZTJhMJnr37t1im8bGRoYNG9ridiWEMAkSjt1u59XX/g3Atdde18GjiT+dRZys1j2U\nl39MeflH1Nf/HKaFRHr6ZK/P6EKMxt7tPcROi69YYJKsY+rsCGESJJwPP/qYI0eO0L9fP2bOnNnR\nw0kIyShO/tkXyss/xmzeGKaVmszMU71idAF6fdd2H+exgOo4mzElmqQXJllSh01t0dl9SsHEy8cU\nzaK4WNK6KEXl+WOz2XnJWzr99ttvR61ue5qSZCcZxEmWZRoa1vnEyGrdEdJGknRkZZ1GXt5F5OSc\ng06X2y5ji5VE+ZQCKsuiHBEXjG9M3uwPsmzGJctIkiqCFzXSNUkhSjcG/5P/bzXR1wp3DH7kpBcm\nQefmf2//j5KSEgYMGMCZZ57R0cNJOB0hTrLsprb2RyoqPm4x+4JKlUJ29pleMTobjSY9IWM5XglI\n5CqbA0phCKJHCJMgYSz7/nue+euzANx7zz2oVMfCqpXItIc4RZt9ITv7dNTq8NkXBLETkC9PbqA9\nyqsfyxy3wuSxv1uoqfWEN5rNFiwWC1arFafT6Xu4ZTdqlRqVSoVKrUKn02E0GDEaDRgNRtLSUklP\nTyctLQ2VKvlNhu3Ftm3b+O0dd+JyuZg9+zfMmDG9o4fUriRCnFyuRqqrF8WcfUEQfwKLBTbAsWux\nbheSXpjcfj6m1tg5ZVmmpqaGwyUlHDlSwpGSIxw9epSysnIqyssp84u7dzgccRunJEmkp6eTk5ND\nTk42uTm55HfJp6CggIKCAroWFNCtWze6dOkS1s/SVh9Ta0ocx4NobMxHjh7lpl/dgtls5pxzZnHP\n3XcnaFTJTTzEKRHZFzqS0O9r+/iNEr1voCnPEwCh5BOLfAur1KJl/1OIvyxu5dyjxy0fZz4mt9tN\naWkZxfuLKS4uprh4v29V8sGDB2kwt66KpMFgIDMjg9TUVFJMJlJSUjAajWg0GjQaLVqtBpCQZTcu\nlwuXy43dbsdma8RqtWK1Wqmvr6e2tpaGhgbvIrNa9u7d2+IxNRoNhV270qNnD3r16kXPnj3p1asX\nRb160atnL/T6znuHK8sy3y5axGNP/JGjpaWMHTuWZ55+us2LMY8FlMRpc/kO7vn6Hp47/TlO6HKC\nbx+RfaHzEVj6ouOKBR4rJFSYZFnmscce47XXXqO2tpYxY8bwz3/+k2HDhrW6j61bt3Ho8GH27tvH\nnr172bt3H/uKiwOy4gaTajLRrXt3Cgu70rVrV7oWdCU/P4/cvDzy8/LIzs4mMzMTQ5is5dFkJPBf\nve1yuaipqaGysorKykoqKisoKy2jpKSE0tJSSkpKOHT4MOXl5Rw4eJADBw/yww8/BvSnUqnoVlhI\nUVERfYqKKOrj+dunqA8FBV2S+gK/bv16/vzMM6xduw6AUaNG8a+X/4lenzzreDqKlsTpf0cHsnjf\nYt755R0GndK13bIvCOJPcPCDIDYSmsT1r3/9K//3f//HggUL6NevH0888QRvvfUWO3bsIDU1VXHf\npiSuLZGVlU1RUW969/Y8evTs5c1825PMzEzFH22iprCtCb9sbGzk8OHDHDx4gAMHDlBcXMz+4mL2\n7y/m0KFDuFyusPsZjUZ69y6iT58iz/vu1ZtevXrRu3cvsrKyOuQiVVFRwXffLeGrhQv5/vvvAcjO\nzub22+/g8ssvb1XK/ODPorMkcW0LFstOvl55EjXWMgAe3KyjvNFOvkHH08McgIxJDfl+90vHWvaF\nbbuVM4Ir/TaVTGPRmN/i+ftv+s3brd9QX+VZPG7K/DsG06WhbaMIQ1cKE4qlTpJSItl409jYyKjh\nA5Ivu3hRURF33XUXd955JwBOp5OuXbvy3HPPcc011wS0dTgcOJ3Nd4lWq5WcnByKivrQv38/ior6\n0LdvH4qK+tCnTx8yMjIC9o9qXVMHCpPSvna7nYMHD7J3716Ki/exZ89e9u3zzBKDU9L70zRD7NG9\nOz169PDMErt2paCggC5d8snJyQk7O4yGxsZGdu3ezY7t29mxYyfrN2xgw4YNNH19DAYDN910I7+6\n+WZS0zIi9NbM8SRMANLjkb97a8858ZjNvnCsCpPD9iN1FRcBkJLxJMbUG0PbCmFqNQkz5dXW1lJc\nXMz48eObD6bRMGrUKNavXx8iTE8++SSPP/54SD9ffPFFzBfVzoJOp6Nv37707ds3ZFtNTQ3FxcXs\n2+cRreLi/b7ZVoPZzI4dO9ixI3QxZRMmk4mc7GzSvT611NRUUk0mNFoNarUGrcbzVbDZbNjsNmw2\nGzU1tVRUlFNRUUltbW3Y8U6ePInp06czc+ZMcnNygMQFYBwLLLpmEc/+8CcW7l0asm16j2Hce+Ij\njB4YerctSG4CTXnCxxQrCROmuro6gJDyBllZWb5t/jz00EM8+OCDvudNMyaBh8zMTEaOHMnIkSMD\n7npkWaa2tpaDhw5x6OBBDh46RElJCUePHqWk5ChlZWVUVVV5Q+LNoFBjRQmNRkNR794MGDiQgQMH\nMHjQICZMmIDJZIrXWzwumN5nOtP7TOeGd/vz9u7dOGXQqFTcM/E+njntmY4enqCNBAY/iLREsZIw\nYUpP96wsr6mpCXi9urqabt26hbTXarVhfRJuVGFTW0RluoshdDQWopm6RzM9DwgtlyA9M4ehmTkM\nHTYibL+yLFNfX09lZSX19fU0NNTT0NCA2WzG4XDicjlxOl3IsozBYECv16PT6cjISCc3N5ecnFyy\nsrLCrtMSs6PokWWZb0oacHpPntPt5p1N7/D0jGM/gjG03EPbowmVfteJDoUOOY7UnElDlhvCHz+K\nH4tbcfiBG6NZth5c2iKRJGVKooyMDHr37s3q1auZNGkS4PExbdiwIcSMJ0gsTWusmm4WBB1Lo7OR\nbGMu+doGTs9vYEGJhFufTqOzEaM2Olu8IDmQpGbLgZgxxU5Cw8Vnz57Ns88+y7Rp0+jbty9/+tOf\n0Gq1XHDBBYk8rECQ1Bi1Rtb/ej2HDz7Lvn2/54wCmQGD5ghR6sxIRjyLYt0iw3gcSOiqvPvuu4/r\nr7+eGTNmkJOTw/Lly1m4cGHEUHGB4FhHo9KQm3u+73lN1RcdNxhBzDSVVwdR+iIeJHTGJEkSTzzx\nBE888USb+3DJalxy9HbRZCjdLcmtD81U8jEF+6qU7OexpHyJJQxVED0m0yCMxoFYrTuorPwSt9uB\nShV57VdnJvQ7FvwbaV05lVhImP9JlQquWmRvefWY0i9F8VN0+ZeyiMKvHU/C+ftcMaQk6virt0Bw\nHNM0a3K5aqmpWdaxgxHERFPIuJgxxY4QJoGgA/E351VUfNph4xDEjk+YRPBDzCR9EldPuHioKS9R\n1Szji8rvP+UptqIpT8EkGI25INI0PxoTYTQIE2HLpKePR6crwG4/SkXFp/Tv/49jPmQ8EUQykylt\nj9dyEknV5GOq9/TZAR9jpPfi/1tMtKk0lnBxMWMSCDoQSVKRk3MeAHb7Yerr13bwiARtxZf9QTYj\nR+FfFoQihEkg6GCEOe/YIKCcusgwHhNCmASCDiYraypqteeiJoSpExNSXl3QVpLex+SSVb6ww7ba\nRBORTTj6MUTwMSn4f1Qx+H4C8+q13v4cTPA5VBqvkt9L+JtCUan0ZGefRXn5e1gsW7BYdpGS0r+j\nh5UQQpY+KHwng/3IwW0V/UYR9m0tUS23CCivXo8sd23TMT2dtX1XJeJ1LWzN+YzFdydmTAJBEhBo\nzvus4wYiaDMBaYnEjCkmhDAJBElATs6ZSJJnca0w53VOmqLyQJS+iJVOYMpra+aHxMdqRpURPEKo\ntqRQr1HJDBip32jMgHLAtghRRUqHjeLUB49hz569vv/79u3T+o46ORpNBpmZ06iu/pq6uh+x20vR\n6bp09LDiwu49+/yeJeZeOBrTXcKuDQGmPHNMx/Eff3uZv2Mab5h9Rbi4QHAM0GzOk6moELnzOhti\nxhQ/hDAJBElCbu65vv8jmfPKy8t57LHHGDt2LBkZGZhMJgYNGsTs2bPZuXNngkfaOr788kvOPfdc\nJk+awOBBA+jfrw8D+/UOeJwwpC92u72jhxoXAqvYCh9TLAhhEgiSBL2+kLS0CQBUVy/C6Qx/1714\n8WIGDx7M448/TmVlJTNnzuTss8/G6XTy8ssvs2vXrvYcdlh++9vfcs455zB//nx69e7NGWeeSf/+\nA0La9e3bH51O1wEjjD8BwuQWM6ZYSHofU4sVbDuoKq0SiiHUCj4kiC67uFK/wf0oZx5uuRJmcKXL\nqPxRcfI/HY/k5p5Pff3PyLKNqqqvyc+/OGD7ypUrOffcc5EkiXfffZcrrrgiYPuiRYsYOXJkO444\nlP/7v//jpZdeorCwkC+//JK09EzAU7n34Ycf5v335jJu3Hj+88ZbIAVmU++IjOJxC6EOMOXF5mMK\n6DcJfjTRXG+bwvxFdnGB4BhBKQuEzWbjqquuwmKxhBUlgBkzZpCbm5vgUbZMbW0tDz/8MJIk8c47\n7zBq1CjfNkmSuOa66wHYsGE9KpUarfbYKfMRvI5J0HaEMAkESURTjSbAV6Opiddff529e/dy0UUX\nce6557bURYcyd+5c6uvrOeecczj11FNDtvft2w8Ah8OBxWJp59ElFn9THsLHFBNCmASCJKOlGk0f\nf/wxALfeemtM/b/xxhv07t07pj5a4uuvvwbgoosuCru9ocFzwdZqta2uZP3pR+9x+qnj4zPARCIZ\nwWsCF1F5sZH0PqaAlERxCudPXHmH1tthg8tgtNU/FTzejvBHBd/fhO7pVtqoOKbjkdzc8zl48BnA\nY87Lzp4BwIYNGwCYOHFiRw0tIhs3bgQCx+j/e9vofQ9DhgxDpdIornVp9mtIIf0EP4+Urqg9yl6A\nBFIqyN4qtknoB1cimlJCrbkWx3K9TnphEgiON1qq0VRZWYlKpSIlJaWjh9giZWVlAGRkZITd/vXC\nBQBMnT6j3cbUnkiqNGRXbciMafMva/numy9Yt/pHjh45RF1tDbl5XThh1Hhunn0vvfuERiwezwhT\nnkCQZLRUoyk9PR232x31OiVZlnE6nb6H2+2Zwfq/5nK54jL2tDRPAMDu3btDtm3evIlPP/kIkymV\nSy69PCnGG298fqagKrZPzbmX9/73Gm63m+Ejx3HiKTOQZZmFX37ItRfPYP++0PN1PJP0MyaXW4XL\nHVk/2yukUtHUFLRJyawWatFqefxKZr+QrN8K5rpIGcID2gaZIYLft1sK3Ko03sD7H+XQctmvemtg\nKhvo17eI44Xc3PMpKXkF8Jjz0tPHMmPGDD788EPuv/9+5s2bF+CjOXjwINu3b+e0004L6evNN9/k\nhhtuCHndPyKuV69eFBcXtziexx57jMcff5xTTjmFpUuXttju1FNPZd68efz+97/nlVde9a5RUrFr\n507uuP02nE4njz72MDk54SMH3Uh8+vH7PPK7u0O2jRnS3fd/1249WPBdc1HFWEx3ca2G3VReXTYH\n9Hvjr+9lwolTMaU2R+653W6e/dODfPjuf/j4/be488E/xm8cLdBW81rECsFhzJbuGMLFk16YBILj\nkaYaTS5XPRUVn9Knz5948skn+e6775g/fz59+vRh7NixGI1G9uzZw6ZNm3j00UfDCtM555zD6tWr\nfc+//PJLXn31VT7//HPfa3q9XnE8TbOWSOHdc+bM4csvv2T58uXMnHkaI0eOpKKyijWrVyHLMvc/\n8HsuvSw0zN2fU6edxryPv/JdRJctWcRH77/NCy+/5WuTrItym0LGg015004PjaJUqVTMuuAKPnz3\nPxwtOdQu4+ssCGESCJKQ0BpNuxkwYADr1q3jT3/6E99++y2LFi0iJSWFHj16MHv2bK6++uqwfeXk\n5JCTk+N7vnnzZnQ6HWPHjm31eNavXw/ATTfdpNhu0KBBfPDBh7zwwgusWrWKr7/+mpycXM6edQ43\n3HATg4YMj3iszKxsMrOyfXfhu3ftQKvVMnT4yIB28QqGiitNxQLlBmTZjSR5Zg2NVgs/rfiOHVs3\nUl1VicNuQ5ahoqwEgNS09I4acVIihEkgSFJyc8+nvPw9ACorPyMl5V569erFa6+91q7jcDqdLFu2\njDFjxnDZZZdFbN+/f39eeukl33P/yDt3MopJHAksr94AUjqfvv8m/3j2Merralvcr6jvwHYYXech\n6YVJllU+W2WEQgztRLMtNZIFVTHNUIhzxW9bcJXPkH3b5o8KGUOE8HGlfvz3VfY/BZ+n4LMW+Kkm\nQ/qVZKGpRpMsO6io+JQePe7tkHGsWrWK+vp6nn76aSQp+s8nIKw7gi/I31fRtK2lb6Viv1FUxg3p\nNxbx9Ftk63Y38On7H/PMY/fQpWs3Zt/9KGMmTKFLQTf0BiOSJHHXLZfw0/LFDBh8QlxmgPEqtRHL\ncZr6kYWPSSA49vCv0VRb+wN2exk6XX67j2Py5MnISWk3S0IC0hLV8e8Xn0GtVvPPNz6ne8/A4J3a\n6ipWr/weSZIYOOSE9h5pUiPCxQWCJMa/RlNlZXxqNF1//fWKEXjJxnkXXs5XS9Z09DBahb8pr6ri\nEJUVpWTn5IeIEsBLzz+B0+GgW48iUlOFj8kfMWMSCJKY3Nxz2bXrN4AnbLxrV+XgA0EH45dhPD0N\ndDo9FeVH2bZlA4OHjgTA6XDw+it/47MPPFGGgxRmS/V1tVRWlCoeUqPRhhW+zkzSC5NTVqGOwVYZ\njpA1OhHKk7fYT6T0Of7lkYOOEU3J80jPA8cU3Je/TyzYd9XyeVDygQXvq+R/8rSVW2wbWFwj0Dmu\nkgL9T8fjuqamGk319T9TVfUtTmcDGk3rcsy1F3v3BC4ODS6ZEug3CvwtK/l7IvmNlFISKfYb6Wfb\nRj+NZwzNwqRS25h10TV8PPff3HLlmYybfCo6nYFNG1ahUqk445xLWfjF+wwYMrLFNT8LPv+A5558\nQPG4eV0K+XzJ1ujH24a1SU0o+fub9nPFkJIp6YVJIDje8a/RVF39NXl54ROkdiQ2m40bbriRmafP\n5Kqrr0OtDr7lOE5Q+Ufl1XPng0+SnpHJ11+8z+qfltGloBtnnnsZ19x8F0/PuQuAgUNGtNjdJVfd\nwiVX3ZLgQScfQpgEgiQnN/d89u37PeAx5yWjML3zzrv8vGoVZouFa6+7saOH03EElVfX6fTcesfD\n3HrHwyFNn3z+jXYcWOci6YXJJUthp4Rxzdyr0JeymS84FY9Sy5bNW8q9hjH7KYSWK5n9Ihkslcx+\nsaQv8t9XJQcaAVxScDC5X18RMpH7m/aOZbNeU40mq3WHr0aTStWxBfaKdzfn6zNb7bz8r38BcMcd\nd4ZkDI8mrNt/34gZw/22B5vulMx10YSWRyLEHCY1BzHIcn2HL3+IrvJs2/sJ9z5jee8iKk8g6AQ0\nRec5nTXU1n7fsYMJ4u23/0dVVRUjRoxk6tSpHT2cjsV/ga1bFAtsK0KYBIJOgFLJ9Y6kurral4ni\nrrvuatMC3GOJgPLqolhgmxHCJBB0AppqNIFHmJJlwevjf/wT1dXVTJw4kSlTpnT0cDoelSivHg+S\n38fUyrIXCSOC/8SfYBut/81j6H1ky/6pePqj/PuKVB1WyR8VnAbJ3wcVmkIpqK2fX8kd5FNSCi0P\neXMKPqdjPZS8qUZTSckr2GyHaGhYR1ramHY7/v5d2wOeu1Uavvn2Wz774kuMRiN/evJpZEmNTDjf\nkF+uvDakJPLtK7ccah6s09GUvYjGFxLR1yKn4FkE4UJ217d7Fdto0ra1xW/Umn2bxhBLuLiYMQkE\nnYRkMufV1NTwyCOPAnDv/Q/Qs1evDh1PsiBJUrOfScyY2owQJoGgk9BUowk6VphcLhf33/8AFRUV\njBs3lquvvrbDxpKU+IRJ+JjaihAmgaCT0FSjCcBs3ozF0jHluP/2wv/x3ZIlZGZm8te//AWVSlxG\n/JF8VWyFMLWVTuBjknAF11FoBdHYjSP5XoJb+/6LcIiAtUARfFVygvxR/nsqpUEK7itSGiQ5YJty\naXV/v1KkUhsB/qoI65iCBhHAsepzClejKREE+5RcKs+l4sv58/nnK6+iVqv5+//9g249euMK8f0E\nZn1wBdRjanmNU/BzJZ8SBPqVoklfFEy81vr4+vMz5SWiVE9c1121st/g96HUtulzcbfhut2EuNUR\nCDoRTTWaoP3Neb9s2sSDD/4OgN//4SEmTz6xXY/fWZB8VWzFjKmtCGESCDoRTTWaAF+NpvZg8+Yt\n3HDDjTQ2NnLxxRdx7bXXtctxOyVN2R+85dUF0ZP0pjy3LOH2ThvdCQu9VKgIq5SSKGhTsGlPaalJ\n8ELEeJn9lMLFQ8LZozD7KZr2gt6nWyHbuDp4m1Jm8pDzGXTO/M6hWg6uhOsKeL5rT7Hv//59e9OZ\nycu7gOrqr2mq0RSvUhj+5rsm0x3Axo0buf6GG6mrq2PatOk8/sSTvtBwUDbdQaBJLmIIuKwQWq4Q\nEh5N+qJgYknFExb/fHluM6iir7UUW4bz1hFJMgNC96PIyN50nQ428UaDmDEJBJ2MnJxzff8n2py3\nZu1arr32Ourq6ph5+un848WX0Ol0CT1mp8cvX54IGW8bQpgEgk6GXt+V9PSJAL4aTYngu+++44Yb\nbqTBbObsWbN44YX/E6LUGiT/7A91HTeOTowQJoGgE9K02LapRlM8cblc/O255/jVLbdisVi44IIL\n+Nvfnker7diM5p0GSaQlipWk9zE5XSrUro7Tz2A7t1IZjNDwcb8yEiFlI4KO41/tNiSEWiEdULDd\nPSSk2j+8XbmKbmBKIuXxBry3kC1KpTeUq936+6BCUhsR7EdqOX2NWgr2MTT7nHbu2a/Yb2cILc/N\nPZ+9ez0Rcq2t0XRg17aA524p0DfkVmmorKzk7nvu4YcffkSlUnHX3fdy669/g4wal99H5e9XUvIp\nQYQQ8CjSDCn1G8m34v8Jx5KKp1UElL5oINyvJ56piuKVhiiatE7B/v5wPqhY0jkmvTDV11ZQUWql\nvq4Kc30t5oYazPU1nDTzMlLTMgFY+PFrbF73PQ67DYe9EYfdhlt2I7vddC8axOzfvQSALMs8ee+F\naPUGUkxpGFM8j/TMHNKz8hg0fCJdCnt33JsVCFpJSspAUlIGYbFsj1uNptWrV3P3PfdSUlJCdnYO\nz73wd19IeJLkjO0cSIFVbAXRk/TCdOOsPmFfHzhsAqkDRwKwa+tqvv96Xth2dpvV97/T6WDV8i9b\nPNZvH36Fmed5qm8u+3oeH735F7oUFtG910C69RpA994D6dV3CCmp0UfZCATxJjf3fA4ceJodNTU8\n9PoE/jHrDU7ockLU/dTW1vLMX//G3Pc8C3dHjRrF3//vJQq6do33kI8PhDDFTNILkyktk7SMHFLT\nMklNzyI1LYuU1HSMpuYP/7Rzb2D4mFPR6vTodAY0Wh0qtQaVSkWKXzuVSs0fnv0Iu82K1VyP1VKP\nxVxPXU0FtdXl9Og9yNf28P6dFO/aRPGuTfwcNKYeRYN48b0NvlQsTqcDjUbY3wXtS5MwfVsK3x9a\nzzu/vMMJp7VemNxuN5998QVP/vkZKisr0Wq13HrrLdw2ezZqXUoCR36ME+BjEsLUFpJemP4z/wB6\ngzHkdVmWcHqNq/2GTabfsMkt9tHUDknD2JPOUzyey2uzmHXFnYydcjZHD+3l0P4dHNm/g0PF2zmw\ndysarR43amTZYx684aw+ZOcXMnjEZIaPncqw0SeTmp4VYHmPZFL2d4mogqs1B7UNNKsE+8AC2/r7\ntiL5oxTTF4Ws2Wq9P8q/r8ipjvzHG+x/UvKJKa9jaeuap2D/kxT0vE/ffnQEB2sPUtNo5IA1i8Vl\n1QC8tf4NZmROQUYmTZtGoakrsl86KLfX1CfLMkuXLuXZ555n+zaP32nsuHE8/sRT9Ovf39M2pOR5\n69MMReVjClnX1La1SZFS5sSztEVL+MYgpfuO5nY3RP7xR0k044umxLzSOtHoyopE7i8SCRGmjRs3\n8rvf/Y7169dTWlrKt99+y4wZMxJxqIRhSs2g7+Ax9B0cWPPG6XRQW9W82r6sZD91tRXUVJWyd/t6\n5r/3EpIk0WfQKEZNOI2Z591IQffw5khB5+Pnn38mv0sXinr37tBx9HyhZ8hrR61lzFzQvMap+Mqg\nYAe3m++XL+ell/7JunXrAOjSpYC77r6bCy+8CFRJf5/aORCmvJhJyDdRp9Nx4YUX8sc//pFx48Yl\n4hAdhkajJSe/m+95l8LevLukkl1bVrNl/XI2rV7Cjk0r2bNtHXu2rWP8SWf7hOnw/p1kZOWRmp7V\nUcMXxIDb7eb3f3gIu93O8u+XdWgZ8UXXLOL5lc8zf9f8kG3TCk/hpkHNKYPq6uv58MOPeOudd9m/\n3xORmJ2Vxa9/M5srr7oavV4PRBfdJVBACFPMJESYBg8ezODBg+PSl9MloXa15wVA2TQWDo0ulcGj\npjJ09FQuvelRbI0Wtm5YzuY1S+gzZLwnzFaW+OfTd7Bl3fcMG3MKE049j8nTLiQzpwsAqpYzEoWO\n0G9QkcLQAzL8KKVBCjqwOyRkPWgMAf0opy/yv+CFZBcPGr/a35QXKXN6QKqjYNNToMkosIpu4CVY\nJQW3be5X5Wfma2ioZ+y4CRQUFOCSPAtNW2v2i5RVPRpkJPrQk3+Mf55CTT6vb38dpwwaSc2Ng2/i\ngdEPYrPZ+GrxUhZ89RWLFy3CYrEA0LVrIVdefQ1XXnUNJq//tSkM3N9cF2yqCc0g7pdmKMTsF2TK\n89seXNVUKUVRaL9B50Gh2m0wbU1JFInw/Tab8nA3xBwaHk1EZKTz0FZzXaQxBJpgPX/bUhWiiaSZ\nuzscDpxOp++51WpVaJ3c6A0pjJp4OqMnzfS95na7UanUyMhsXLWYjasW8+9n72Lo6JM5ccbFnDjt\nQjKy8jpw1IJIpKal8dTTf+noYfiQZZnPixfg9F4InLKLeVvncejNQyxbugyz2exrO3nyZK665jpO\nnTodjUbj3b8jRn08YERGjYRLZH5oI1EJ0/XXX8+bb77Z4vZTTjmFpUuXtmkgTz75JI8//nib9u0M\nqFQq5vxjAXU1laxZMZ+VSz5h/U9fs2nNUjatWQqyzFkX/7qjhymIM3/8058oKSlhyKDBDB48iL59\n+9KtsBC9ru1RnG63m9LSMjZu24izwUmWOQv3Gje1fWupM9Sx4OsF4IRhw4Zx5llnc8YZZ9KzZ8+Q\nmYwgQTSVV5drROaHNiLJcuvvmxoaGmhsbGxxu1arJSMjI/AAktSq4IdwM6acnBzeXlIfNiqvvYjG\njRASTRchS0RDfQ2rv/+CHxZ9xF1z/k16Zi4Ab7/8CEcP7WXqWVcxauJpqDWakH2bjxnJ5Ca3uE0p\nc3po9ong8fubu1reFrnfljM/RGrrvz1S1nJ/M5sqxJQX9JzwprxwbaWAtkFGIdnFpMknUl5eHjQ2\niYIuXejWvRs5WdlkZGaQkZ5OWloaarUalSQhqVQ4HA7MZjMNZjMNDQ2UlpZy5EgJJSUl2B2OpoP6\nbFFZWVmMHT+OyRMnc8opp9CzZ8/AiDgFE5tnuzDlRUtL/UrVA5HcB5HVY5Azl8dwhM5ryrM1Wrl4\nSgYWiwWjMbpreFQzptTUVFJTUyM3bANarTZsLi63HL6CbTzNELGIjz9yyAXZPx1QaD8ppixOOfNa\nTjnzWsAT1u52u1n85f+oLDvM99+8T0Z2PifNvIxps66lj3dBsZI/KtxxmhsHbnMrhF9H8kf5v9WQ\nchrB/QaImLI/yv8+KURcFEPWgwRDIdRcyf8UOt7AtsHjVfv7kUKESc2/X3+bHdu3sn3bVrZv38b+\n4n2UlJRQcvQoJUeP0laysrIZOGgQgwYNZtDgwQwdNpx+/foj+aUZcsrBaZsC30twKiGlC31HhIBH\nErGW9vOMoWXiFW6thOSrYlvfpj6iCW+PRmyUjqHUNlIKouDQfbfbzeofv2m5wwhENWNqLbIsY7PZ\nADAajSxYsICpU6ei0Wh89u1IWK1WUlJSeOu7BnT6cOuY4jfeeAlTNHn0lPopP1rM9wvnsnTB2xze\nv8P3eu/+w7n+zr8wekLz7DNkFhHNrCiG2ZWS8z6W2VXgGIJnPQr9KsxkIGgmpjCbCh1vy9tAWZha\nei8Oh4OjJUc4cvgwNTXV1NTWUFdbR0NDPW63jCy7cbvdqNUaTCYTplQTqaZU8vPz6VrYja5du5KS\n4lkAG01JcSFM4dsq0dbrjKpuKpLzZ2SpK+6sPVHv31mFyWG3sWThu3z29gsc3LcVoE0zpoQIU3Fx\nMUVFRSGvz5kzh8cee6xVfRzPwtTUjyzL7N62hqUL3mb51/Oor63iyVeXMHzUFAAqSg+RmZ2LVqdX\nOI4QJkguYQo3vrYihCl8vx0vTOciORchk4o7O/oqw51NmMwNDSz8+FU+e+cFqis9loDsvEKqyo8k\n3pTXWnr37k0C9O64Q5Ik+g8Zx4Ch47jhzr+wfuW3DBl5om/7P/50C7u3reWkmZcy/exr6D90bIeu\nrREIBF68pjyJBpDdIB3bgSefz/0/3n3lMcBj2Tn/6nsZd/I5XDU1p039JU24eEs4XRKqdl3HFEjw\nTCFgTU7IsIJ9K0r9Bu0ZcEcvhbRVawyMnXIOsgwuZBwOO7U1FdTXVrHgg3+x4IN/0b1oMFPPuppT\nzryS3C7dPfsG+Lkimf1aeiehd0yKs6uo1kcp+KNCfGItr2MK7ic4GMItK8yulNYxBbcNuuFytXZ2\nFfReQs6R/34h67eiuHtWmIFEStsUzYwpXuUpogloUNo3YimLOAYQtKoPKc3Xi4wZUE78HE36nmhm\nQUr7Rjqmf9vg81tVWcrRQ3sYNMKTCu70i37N1g0/MOuKOxg18QwkScLW2PYlPwkx5cWDJlPef781\nhzXltRfRmMKi2a4sTK1vu2/nRpbM/x/ffz3XlypJkiTuf3oek6ddGGCsicYfFfG9JUG0n5KpLCRK\nDyVhCjyOSqmtQqRgJLNfS8cIRghT5PEF75tswqQy34fK5im348zcDapuiu07izBVV5by8VvP8tVH\nr5CWkcO/PtmOVqcP29bWaOWKU9KSx5QnaD+KBoygaMAIrr39z6z/6RuWLvgf6376mqGjTvK1WbZw\nLsaUNEZPPg2tVpTGFggSzjGWlqimqoxP/vc35n/wsq+UUJ+BI2moqyYrtyDux0t6YXK7PY+I7aK4\nI1IKPAjpNwrznPIMKeguOGSm0PLOoTOm0P8llY7RJ85i7JRZ2Bot6A0puN3gdDt54x+/p7LsMKnp\nWUyefhEnzbyMIaNOQq0OzBjdVrNfLGHoISYuv+PG0+znP/NRBd3RK83EVCHHDBqvQnh7gKkxQrCD\n0uwqGqLJqq2crbvlAIbgtrHMbGLKGN7GmUMsWa9bjZTum/HL7gZkVevHHonWZPZuIqp1S2E+t0ar\nmff//STz338JW6MnrdX4k8/lkpsepu+g0Z527vDX32iuycEkvTAJokdvaK6l43TYOfOS2Xy/8F0O\n7NnCN5/8m28++TdZOQVMnnERZ196G4U9+3fgaAWCY5CAGVPnTUuk0er4ackn2BotjJ1yNpf/6hH6\nDh4T19LwYY+b0N4FHY7eYOSi6x7gouseYP+eTfzw7Qcs/+Z9jh7aw/z3XmLy9It9wlRdcZT0zNyQ\nTBMCgSBKAoSp86QlsjVamP/By0w962oycrqg0Wj5ze//id5oYsDQ8e02DnEFOo7o3W84vfsN58pf\nP86ebWtZ9f2XDB7RXGDx+cduYM/2dYydchaTTj2XURNPw2A0deCIBYLOiUyzMElyXZxWrSUOh8PO\nN5++zvv/eYqqihIqSw9x033PA3DCuKntnvA36YXJ4QLJFbldNETTnfJC2NbvK0dorJT/TskfFTy+\n1qVFkug9cBx9BnlqZbnd4HI6qa48Sn1tFUvmv82S+W+j1ekZPnYqY6ecxcRTzyM7r7D5uAr+qND3\n5j9eZd+Vv008UgRfdP4ovzGEjC8+/ijlbSiiitMvP9g35E90VUhb7wuKtBA2Gr9R4Lag5xH8Xkq0\nf+xxc+o2WW6I6twHE02eukj7Bn8WLpeL5V/PY+6rT1B6eC8AfQeNZvSUs3ErlK0I9h+Fi8qLxdyX\n9MIkaB/UGg0vvLueQ8XbWbXsC1Z9/xk7N69i3Y8LWffjQtRqNadfeAsADXXVGI0mEeEnELSE1Lxu\nSUpSH9PWDSv419O/5cCeLQB06z2Iq379OBOnXoAkSR1aFkUIkyCA7r0H0b33IC66/n5qKktZ++NC\n1qxYwNgpZ/vazHv1CRZ/8QbDRp/CyAnTGTVxOt17DxJZJwSCJjpBuLhKpebAni3kFfTk8l89wiln\nXp00/uXkGIUgKcnM6cL0c65j+jnXBbxeeqQYq6WB1Svms3qFp7R3Tn43Thh7KlNOu5jxJ50drjuB\n4LhBlvx9TMkhTAf3bWPV8q+48Jp7ARh0wiR+99cPGTP5jJBFsh1N0gtTx69jCiSadUz+viyltUjB\n22PxR4X6VloeQ7RlOpr4/bOfUlF6iF9WL2bjqkX8snoxlWWHWbLgHVIzchkzZRYAlWWH2bJ+OcPG\nnEJ2bldPPyHrwpT8SIFtQ9JD+TXuKH9UNElnW9tPPElU4tM2Z3OIwW8US8YDJZT6bbMRwM+Uh9yA\nTNtNY7GkDnLj+R02WTncbjeDTpjEoBGTkWWYcMp5vj5C9g3oN/iYkdu6Yih0lfTCJEhOcrt0Z9qs\n65g26zrAzYE9m/ll9XcMPGGSr82aFfN5+c+3AdCt10CGjTmZYaNPZtiok8jJV07RIhB0bvzKq9Mx\nM6aG+ho+fOMvfPneP7DbGlGp1Zxx0S106danQ8YTDUKYBDEjSRK9+g2nV7/hAa9n5RYyetLpbN2w\ngsP7d3B4/w6+/vg1wJOB+O/vrG37HalAkMwElFdv/+CHhR+/xtsvP0pdTQUAk2dczFW/fpxuvQa0\n+1jawv+3d95hcpXV4//c6Vtntveeuuk9IZ2UTSEIiIpSBEGFIE35KqIQUUB+CIoKggUQFEWKitQU\nSCMhIaT3stmabO9lZnZm7v39Mbuz0/bOztZJcj/PM8/u3Pfc97733pl75j3nvOeEvGKyO0A1wOHi\ncjPMYB6UwYWL976v/pj9gkmLJGf2893Xe0zuffnvZ+rcNUyduwbRYaPw+F6O7N3CsQPbOXFwJ9Gm\nBBySClF0Zkq/57rJ5I2dyrgp88ifPI+M3HxUKq+s3zJmwECBF3IJauXMgIHqUHmmh+rZlOcTUu/1\ndrBMeZ6HDGQSkgkPlpENJhQ6YMG5IMLd5fodMALcFrmExRLRCDQi+AkX70+oe2/uU3HhEZoba8mf\nMp9v3v2Ea3Gsewi4XMi393ECy7qNoXM/f5XHe0vIKyaFCx+NRsvoCbMZPWE2X+YBHHY7Lc31rvai\nk/upKDtNRdlpPt3wLwCijLGMnTyPcVPmsXDFNzDFJQ3X8BUU+oYQ6VRsQzBjKjy5H3NbK/lTncmb\nr/v2Q0yYtohZi666IKNlQ77sxW/fGdqyF4M1YwqmREYwMybfshFy4wlUckJuX29ZmbINMuP1lZUQ\nRZFzxSc4duBTju7fzrH926mrPueSee7NI6Rlj0YFHPz8E7R6PSPHTken17n10/MxnGMIsRmTF8qM\nKfC+wzJjCoDcjEnXuhC1YxeSkIolusijbaBmTPW1Fbzy7INs+eA1ktJy+f0bhzzWF/ZvFtS/GVOH\n1cy3lkUoZS8ULkxUKhUZuflk5Oaz4svfQZIkqs8Xc2TfNgpP7CPVzS7+yrM/5szxfej0BsZMmM34\nqfMZP3UBYybOQqc3DONZKCh4IXRmfxiEGZPdbuP9N57jH3/6Oea2FjRaHbMWXIHd1nFRLHwPecXk\ncDhf3vQnpXow4eLeyFVI9g3HlulH1m8UYAwD5I+S79crNNtHtufQcm+CSevkfC8Ql5zLwlW5LFx1\nsyvsVEBi1ITLsFoslBUd49AXWzj0xRbAmQX5hrWP8qXr7/Pbr3xJj57D0r1LePiMv5cFEwOXvZBt\n9pLt/Yc/mLQwwYRjizIzJrl9BzK9TiggmwKqs2qtQCuiKHk8PIIqXOh1TQ7v284fn7zLlbFhxvwr\nuOW+p0hJz0OSBI/lNb1JHdQ7Wbxke575dv3fm2U+PRHyiklBoQtBELjtB88A0NRQw/GD2zm6bxtH\n922j5Mxh4hPTXbJbP/onH739R8ZPXcj4qQvInzTHoxyIgsJg477IFloJVF69N9g6rPz6oZuoqy4n\nKTWH2+7/jUdWlosFRTEpXJAYYxKYs/hq5iy+GoCWpnoPU97B3Zs4fmAHxw/s4M2XHkej0TJy3Awm\nTFvI5JmXM2H6wuEausKlgke+vBYkoW+KSRRFRNGBRqNFq9Nz6w+eprTwKFffeD96Q1hIziT7S8gH\nP/z63/6DHy4EU14wWSKGI1BCvt/em576Z8qTD8iQ60fOpNXW0sCxAzs4sncrR/dvo+jkAcRO28K4\nKfN44s+fAM7syoe/2MzYSXNcJT7kAiV8xq+Y8obNlNfW2oTDbifaFAdAefFJPnz7z5jbW7Ca27Ba\n2rHZOlCp1Kg1Gr5z/69JTMkC4MDuj6muKCUpLZv0rFHEJqT2KXpNbhetZR26jl8C0B5xEEk9tsdz\n6YnK8rP87tHbGTNhNjeu/QXgLxDF/f9gzHODa8rrsJq5reAiDX4Y6nVM3vh88MSe27yH6aEU5PLT\neMsG5TeS77evSqw/JeXl/FO+/fT+OMEofkNErGsdFYC5tZHjBz/lyN6tpGWNxuZw3pDCEwd46M5V\nqNUa8sZOY9zUBYybOp+xky4jItIYOCWRzCCCiQSUY7CifYPyc/iUsuhZNlDknWdb4EjAivJCSguP\nUnr2GOVnj3Gu5BRV54toaarnS9ffxy33PglAY2Md//vn73rs74a1j7pKdGz83ytsW/+6q80QHkl6\n1mhGT5zNlJlLmbngip4H7XkGPbd4pyUK4jo4HA7ef+M5/vaHh7Ba2ikvPsk1N/+IsPDIIYu0c1+H\nJBeF592XkpJIQaGXRESZmD7vCqbP83zgWM1tjBg7jbMn93PqyG5OHdnNf179FSqViuyRE1n32/eI\nUdZQDQkOu53y4hMUntzP4lU3uDTykz/6GkWnDvrI6/QG7PYO1/vUzFHcfM+ThEdEoQ+LQG8IR6vV\nI4oOHA478UkZLtkJ0xeh1mioKCvkXMkpWprqOHN8L2eO76XqXJFLMTnsdo4d3EH+5Hmo1eqgzse7\nWGBvKT5zmGcf/S6nju4BYH7BdXz7/t8QFh4ZYM+LB0UxKVzS5E+Zz69e2UV7azPHD+3k2H5nQEXh\n8b1UV5RgjElwyf7qJzeg1xvInzyXMZNmk541+oJcvBgKSJJE1bkiThzZw+mjezh97AvOnjyA1dIO\nwLgp80lIzQZg8uxlmGKTyMgdS0ZuPunZo0lOy8MUl+Rx/Y0xCVx1w329Ov6yq25l2VW3ut43N9ZR\ncuYwxw/uJD1zpGv78YM7+cntS4lNSGXpmm+y8trbiXMrmClLH0pffLrxTZ555FY6rGbiEtO4/Ye/\nZ8bCNb073kVEyCsm0SHhcDjnhv3xK7kzeD4mL5ut+35e01rv55n7TH6wzH6BMqXLmf28kTe59dwY\njJ/Lt1/vD0DPIevBmgR1YUYmzVrJpFkrEQSwWtqpKDuDXVKDw/n+s0/+jd1uY9O7rwAQGR3LmIlz\nGDV+FnMuv5qMnDGex5EJJQ5mgbIcgXyB7vRnEWowZih/Fpy21iZam+pJTM0B4MShXfz4tgU+ckmp\nOeSOmUqHzeZKn3PjnU/0OKa+eMj9XfsoYxzjpy1i/LRFCEL3ObRb2khKzaHqfBFvvPRL3n7lV8xb\nei1Xfv1uRo6bEcAU6W7KawlotpQkiQ3/e5kOq5nFq2/k2/c/Q3hkdJ8ye3fhnRaor34jb7PcYJvy\nQj744YnXW9F2Bj9caIrJY79gghQGSTEFM6b+Kaa+7Re4394/zPsTROFvX4fDQdGp/Zw8+CnHD+7k\nxKGdNNZVutrv+/mrLFz5dQCO7ttO0emDjBo7jZxRk9EbfB2/F7NisnZYKTlzmNPHvuDUkc85fewL\nzhWfYMrs5Tz02/ecMhYzd1wzmtzRUxg1fiYj82eQN3aaK5DBX78DRcAsHN4/GiWJY/s/5f03nmPX\n5v+4gmjmLL6aB/7fv3qcNasd2wg3LwHAonsGm+7OHo/Z9Qxvaqhh58dvs+LL33X1e6Eqpg6rmbWr\nL9LgBwWFUECtVjNi7HRG5U9nzdfvRZIkaipKOHF4B6ePfM7YyXNdsts3vM5Hb/8JcGa1SMsaQ+6o\nieSOnsLIcTMY35nP7GLAYm5DEDSuUP3XXvgZb7/6K+y2Dg85jVbn8cTXG8J48f2SC8IUKggC46bO\nZ9zU+dRWlPD+m8+z/t9/JiNnrOz4Jbp9QkIPpS9OHN7F//7xO+77xauoNRqMMQmsvPb2AT+HCw1F\nMSko9AFBEEhMzSYpLYuFK77h0TZx5hJsHVbOHN9L2dljlBU5X1vXv874qQt4/I8fA9BhtfCX3/wf\n6VmjSM8eTWrmSBKSMtBoQ+9raW5vpaLsDOXFJyk9e8z5KjzG+bIz/PjJN5m96EsARJvicNhtpGeP\nIW/sVOdsaNwMckZO8qmSeiEoJW8SU7K45e4nuPabP0St7r5P+z7bgCSKTJu7wrXNMyrPVzGVFR3n\nsR9cQ1NDDRNmLKbgmm8P6tgvJELvG+CF3SEhOAbW2hhcuLjXl0c2XNwriWdQ5jk3f0kQ/ihvvI/T\n94SvPbcF2new+h0o35Wcr8pbNrBp1N3P5ex3xoIvM2PBlzt9VWbKio5ScuoAZ08dIC1zFHZRAARK\niwv58K0/evSmVmtISMkiKS2HW+97mozcfAQBKsrOYDG3YYxJIMoU75YPrf8Pd7vdRnNjLY11VTTW\nVVFbVYbDbmdF5y93u93GdYsTEP3kBlOrNdRUne88J1i46mYWrrqZ8Mjuh3KXmcfei2Ufg+VY8LiP\nXl8gn1RiHsrTa+lDp2yEMdb5HqitKudXP7me9tYmrr/9Eb5yywOdzw23qDw8o/LKio7zk9uX0dRQ\nw9Q5BSy98pYexxBovVFwpSy6/5cz83n3FciU55nE1f8+wRDyiklB4UJGbwhzmQC9iY5J4JZ7n+Zc\nyUnOl57kXMkpGmorqCwvpLK80EP2rZef4OPOoAuA8EgjEZFGwiOjGT1hNmsffB5wpqz5w+O3o1J1\nhzaLoojdbsNmtXDVjd9nTGeV4Xde+w1vvvRLWpsbfMZmik1yKSaNRkta5mgkJFIzRpKRm09mZ9Ld\n9OwxaLTdGTfcFdKlQmxCKld+415e/9Mj/P35hyk8sZ971r1IeLhn5ocuyotP8JPbl9FYX8WkmUv4\n8ZNvotYoj2J3lKuhoDBMxMQls+br9wDdv8ytFjPVFcVUnStyRbCBU4ll5o2jqaGGlsZa2lubaG9t\nAsAUl+ySs1ra2fz+33s85txl17oUkyRBa3MDgiAQHZOAMSYBU2wS8UnpJKZkI0mSy2Lw29cP9Gh6\nC83wqaFDpVLxtdt+wogxU/j1Qzfx2eb/UFJ4hCdf3EakprO8utQKOH1yP11bQGN9FROnL+anT/8b\nvSEsKCvOpUDIR+U9+lqLKypvOJCzgwdVjykYU15/Iu0ualNe3/bzbu9PuqW+plcKfN69j9ITRZG2\nlkbaW5toa21Cq9WRkZsPOP1W2zf8C0nqftQJCGi0OrR6AyPzZ5CQ7Fxoam5rwWazEhEV47N4tD/Z\nr70JJpp2SEx5XgxYyizgfOlpHvzuEuprK7jl7v/HjVf/krOtjTx3Noabx2/CXNTCA7ctIiVjBL/7\nx15XYuH+pBkKVVNeh9XMXWv6FpUX8orpZ682o9UNrmIKxgkr+8GUUT6BypgHp2x6r8TkjiGnxHzG\n0A+lEEx4figovL6mX+prbkRf2YHLq9dXBlIxuTNQSz6CZaB+UMjKdv7dteUdHv+/a8nIyeevL7fy\npzOl/Kscrsm9n9Uxd7BtwxtEm+KJjklgw3/+wpljX9DcWIvDYfcZm0aj5W+bm2SL/8mlDgomXNxb\n+bjfK+8SFr3Jq9dhNXPPl/qmmAL8jldQUFBQCIbp81ax4pbvcMND36e4zcrH1c7tW8/9A3NEC9Ov\nXsGRI9t47PtXsXfHB6RkjuCyJdeSkTvOp6/0nPyLovBfsCg+JgUFBYWBQHKgEvcQLm7ko6w/8VHp\nn6C0u7nOep7vbZsMu4CPnEETP/3Nf8kdPaUzi4XE87+8g43/fZH8KfN5+LcfogoyP9/FQsgrJscg\nZBf3pW+r8L1Nd97TXU/znbyt2r0vH7Of95Tbra/A5jk3+zNesgHC0j376bktmEwVgeiPyVDumANl\nIvQ1yfXOBxnY3Ol+k+XNvnIMlJmvPwb+/uwbTHaKYLJeSDL3wjd1VHe/3t8ZtffnQTyHxrEBjWMj\nWvsmBJwRjk9NhLfKYVe9VwcWUG1WI+Lgjh89y4jRUwBnZQJBEFj9te+x8b8vcurwLlRqNRqN1sfE\nJmeeC+Q3cu8rkCmvz5kfOmX9VR7vLYopT0FBQaG3SBY0jk0YrD8kqn0y0e3ZhFu/g87+pkspAUyI\nEHgofyHXZs1B06kr1AJMrlyKaHU+sU8f+8Kn+/RsZ80mu92Gpb118M8nRFEUk4KCgkJPSBIq8QQG\n+++Isl6BsT2RSMtKDPbfoJaOeog6VOMorb6S+++Hu38wEVvUR2yuKsHeteBUgqOff+qSf/dfv6el\nyXNKZW5zLsTVaLSERQReE7bl/b9y17W5/TzJ0ENRTAoKCgpuCFITOsd/iLDdgcmaR4x1PBG276MT\nP0LA7JITiaFDcy3t+j/SHF5Ee/gBXv17DHv3wqSZq7DTQYQmhvHGMH40GsYbwxArnbOlsZMuw9zW\nwnOP34F7YPSpo58DkDN6StD1ny4mQt7HZLeLCKqhW34WVOi4jD/HSc+hxHL+qYDrmNz2lWRSJjn3\n7dkf5Y37+ciV8PAZU4Db0x/fkEc/QfyMGrg1T72X7V9IeveG/oS+90fWnYFcRDJYC1JEmbIn3sit\nY5MQ0Uh70Usb0Esb0EqfORfFeiGhwqGagU21HJu6AIdqBip194eyqa6CrR/9E0EQWLLmRgyaMH6/\ncA+R7dNQicdZnprNanMpDmzccvcT/OzuK9j5yb/572vPcOX19wHw2cdvAzB9/hqX38Y7HN/f9ezy\nLQUK6x4wH1MvQst7k4KqJ0JeMf3j6Stx2DuwdbRjt1mw26zYbRZuuP99kjInAPDuS3ewf+tLHvup\n1BpUai0pWVO45aebXdv/+tgStPowwiJiCYuMJSwilkhTMlGmFFKyp2CMy0BBQeHiRiVVuBSRXtqE\nilq/cg7SsKmX06Fajk21BJU61kui+4n8/lsvYLd1MHvRlaRmjABArfJ8xIaFR2ExtyFKIvf+7CUe\n/79ree2Fh1n6pVupKDvN5vf/RlhEFEuvvBV/SJKEw+2J31WCw2G3d753/ri+0KP5Ql4xlZzY5ne7\n3WZx/a/ys7JVdNgRHXYcdqtrm8Nuo/TUpz6yXay++VmmX/4dAE7tf58vPvkTMUl5JKSOISF1LPGp\nY4iITuhxfwUFhRBFsqJjBwZpPQZpA1oO+hdDj02YT4eqgA7VckRVfq+mnVaLmQ/edCbkver6e3uU\nmzB9AdvWv8G//vI4P/31f8ifMo/C4/vYvfUd/vXnX+Bw2Ln5nicxxib63X/rB6/wh8d8ldY3L+9e\n6xSflMWv/1UUcMyhTMgrpuvu+w9hETFodGFotQY0na+wyO6CYqtu+j2rvvls906ShCjacThsSG5z\nW0Gl4pafbsHS3oS5tR5zWz3trXW0NlbS0nieuJTRLtmKkv2cPvihz3gijEmk5Uzjunv/jSCX6kFB\nQWFYUUtnMPARBmkDejajos2vnJ0xWFXLsQrL6RAWolaHu9oCZeHooqG2goycMXRYzeS71eby5uvf\n/ilffPoR+3dt4I5rx5GVm8/I/Ok89+h3kJC46a4nWH7VbT1m5p42bw2P/mW36/3+He/z8f/+zPd/\n+Q7gnDFpdfpejTmUCXnFlDl6UY8piRyuchiCl81TALSo1FpQu8upSM2dLXs8u93Z0fjZ1xOXMo76\nqtPUVZyg9vxJas8fp62pioaaYkQERLuEJEn85eGZGOMzSR8xm8xRc0nNmYZGq5fPsyfrnwpmzROy\nsj3t55Tt2T8V6As5cL4geV+WB14260FLXyRbpbhvYxgoX1Vv+uotvpVaB6ZfOfqTkijgNaQFA58Q\nxnrChA1oOet/DERjYSlWYTkWCkCd6dHurhTUPgf1Km3T+Tc1PZcnX9yMrcOKqnMftcr3ZLPzRvPr\nV7bx6h8e4ci+7ezftRFTXBLzl3+NNd+4h9zOdU0e43XrJiI6jly3H+VlhUfQaHXkjJ7uMfaeSk+4\n+6B8c+71fFzvNUm+/qnuDV3PYrEf5YpCXjENF8b4LIzxWR7bJFGkqb4Ec2t3iGdTXSlVZYeoKjvE\nqf3OstEarYG0vJlkj1nApPk3EpOQM6RjV1C4NBDRccCpiNiAnh0Igm++OQmBDqZjwamIbMIsELSu\ndrXMAvtg6c1sJStvLD9+8l8e29rNVhpqKwZsHBc6imIKAkGlIiYxl5jE7nUDxrhM1j5xhPLCzzl3\n5jNKT35KzfnjlJzYRsmJbeTkL3Yppori/ag1OhLS8hEGoMCbgsKlhopqwtjgeqmFar9ydpKxUICZ\n5VhYBkK8q22gk+CWnDlCR4eFUeOm9qkq78kjn/Pw91aTPXIij/3xk4Ed3AVKyCumoQ4X98bng+Y2\nPe2aspsSRmBKGMH42c4S2+0ttZSd3kHpye0kZ8/oPAeBj996mMJD64mKSSN3/FLyJhSQO24JhgiT\nV5Zqr5Q0XqYl9+l5wJQ5bvv6pkySf99TPyBvchPE3n85e2vD90dQqY5kzXNe11vm5PqTvV1WdpDM\nkhc+Ngx8RrjqI8LZgEHY51dKkrSYmY9ZWk67VIBNmEhPIfhyofrgaYLzMXf5+bju3Pwf/vmnn3PT\n2nV849s/dm3XqkWP4wkCaDvzq0lSd9RcemYu7a1NnD2xD1EUUalUAbKAu6UZkwQkqfuZIGe6824P\nFAIuG1ruZaYT/YxXqWAbYoRHxTN66pcYM+1LHtuNcZlERCfR0nCOg9tf4eD2VxBUatJHzGHW8jvJ\nn3HNMI1YQSF00HCWcGE94cIGwoVPUAktfuU6pBG0SwW0SwVYWIREpKttKPV19fliAGLi/EfSBSLa\nFEdMXDINdZXUVJSQlNZ70/+ClTczt+DmPh03lFEU0xCy6pvPsvKm31NddpjCwxs4c+gjyk7vpOzU\np4yfda1Lrvb8CRpqisge23Pgh4LCxYJAG2HCFsKFjwgXNqATTvuVE6VI2qUltHfOiux0m9SHokZV\nT1R1Kqak1Cx5QRky88bRUFdJ6dljQSmmixVFMQ0xgiCQlDmRpMyJXLb6fixtjRQd+4TMUXNcMvu2\nvsxnH/4GjS6M3PzFjJyyilGTVyqLfxUuEiR0HHYpojDhUwShw6+kRZrinBWJBViYA4RebaKmBufi\nXFOM/xlTYauF50/BHaMs5Bj995GSOZKDn39MZfmZwRrmBUXIKya7TUSQM/oPAIKsod47dLtb1tvO\nGkwF2y7/lM5gZPTUqwGwd2Z7NMbnkJw1lcqSfZw68AGnDnzA+0Bi+ngmzb+JOSvucfUjyozPeW5u\nx5RJmeTct+fxB7Nka6jKNAQ1Jhm/l5yfqz9pnNzD2wey0rAcoepzUlFHhGojkar1hKs2oBX8R6DZ\npQTaxALaxOW0ictwkNRjn32tGOz9ufEtE94trPH6jojeyxvUEtEmZ/h2W0u9h3/KpG8H4OPKRvY1\nwieVTXwvyxk1aBM9MzPYrM5EAHpDJJIkePiRvEtZ+JbB6P7fOw2QXNoh7xBw33BxqUdZ32vmK2sP\ntXDxV199lT/+8Y8cP34cQRCYMGECjz32GHPn9rzwTKGbaYu/w7TF36Gl4TxnDn9E4aGPOHv0Y6rL\nj1BfVeiSa2uu5tSBD8gbv4zo2LRhHLGCgjd2woTdRKg+IkK1AYPwhd8fAJKkwSxdRqtYQJtYgFWa\nzIWWW9oUlwxAfV2la1t1exn1lioEQWBTldNHtrGqmVVNxwEJiXgSwrotIC1NdQBEGbvXKF3KDIpi\namlp4eGHH+ayyy7DYDDw3HPPsWLFCo4fP056evpgHPKiJComlSkLvsXURbdit1kpPfUpUaYUV/vp\nAx/y7ovfBSAhdSy545eQN2EZmaPmoQ+LGq5hK1yiaCglQrW+c1b0MWqhya9ch5TTOSNaQbu4GJHA\n5R1CmZg456yuobbKte369aN85Gqtdm7cMMv1/sMvdadL+8qtP2XBiusZNX6Wz36XIoIkDcV6bzCZ\nTLz88stcffXVftttNht2e/fiOLPZTFxcHHf/pmbQAwDkTXlesjL2g76Y8vzLer33ku16W3h4I59v\n+gMlJ7bRYWl1k1eTNXoeNz2wAZVbyU25aqv+jus5XtldvfoJ5nr2vl9vBmpMA5UlorfVbIM9Zqia\n8gTMhAtbiVCtJ0K1Hr3qhF85UQqnXVzsnBVJBdikEQxE3NxAmfK8r5lbwnA0as/Ho8YrN6pOK1JZ\nfpb2tmZystKJjDYBsK96M+8W/YZPz2/0GdtlKQVckXMvUxIud20zd3h23GHvHpTd4TlAb3NdqJry\nbB1m1t0YRXt7O2FhwT3Dh8THtHv3blpbW5k0aVKPMo899hiPPPKIz3ZRlDzSXQwKMv37PtB674/w\nVCjyvqC+KLWssUvJzl+Kw97BucLdnD36MUXHPqGieC+iKOJwSIiSM6Ht359cQUr2FDJHXkZa3ky/\npr9gUih5jCeIa+R7zF6L+h53gPxe/VHI7r6rYHxVQV3PAUrF1H8k9MIxotTridSsJ0K1DZVg9Stp\ndkyk1VFAi6OAdnEuEv3P3xZMGixvWffKEd5fd7XsPfby2XrdY7tDID4lDwC9zoGt815NiFvCnJT5\nPH/op7x5+nfYJQm1IHDtyPv4zvhHae/QuJSIxdwGmiiffrv/x6vN8727svFZtyQjG2htkqesl6/N\nZ72U5NPm3V8wBDVjuvnmm3nllVd6bF+4cCFbtmzx2FZWVsb8+fO54YYbePTRR3vct6cZ0/eerkYz\njCHTwfz6l1dM8v32dbblb3hWczNtzTXEJuUhqAQqivfz4s88cwRGx6aTljuDlJxpTJp7PVExqQOo\nmHpPyM+YAikmQf5euPrpj2LyOWbf2vqCigYi1Zucyki9AZ2q3K+cXYqj1bGMFkcBrY7l2KUUv3L9\nGks/FJNcLkJvxeT+3rtNq5F6fB+uc1BdUUpiijP3XoTWypffH02tpTvQI96QyusrT2O2OVMi1VWf\n486vTmbBqpu4+Z6nXZUSrLbuA1+oisnWYebnN0cP/ozp2Wef5amnnuqxXavVerw/c+YMy5Yt46tf\n/aqsUura13t/hb6hD4tGH9Ztt49PHcM3/u8Dyk/toLxwN+fO7qG5vpzm+nKOf/EfRk+5gqiYVAA+\n3/Q8TbUlJKaPIyE1n7iUUYq/6pLCQZhqD1Hq9USp1xOm+txvVKwkqWkXZ9PqWE6LYwVmcSpwYdcA\n6g82Wwc/unMFxw9+xmPPf8iEafPpEC1E6UykRGRzRc43ebfoVVptjXSIFkCLub2V5355J22tTTTU\nnPdbvudSJSjFFBkZSWRkZGBB4NChQxQUFLB27VoeeuihPg0OnOHisjliBpiBzIwteMxs5M1dHilT\nVN7mA889HR5pkbyO6SeFkiDoyRy1mOwxTpu2JIrUVZ6iongPlSUHMSWO7OxT4vDO1yk/85lHF5Gm\nFOKSRzF62pXMXPY9AOw2K+0tNUSaUtD0oyhZX3KLufYN6nvsXsl34Hxtvc4u7j1WH/OcnNnXawzB\nhOP34hpphXNEadYTrdlAlGYTGqHBr1yHmEmzfTnN9uW02pfgwOQlMbgmd1kfXoB0W57fL882X39J\n9/++Vn7Pjrtl9SSmjuDw3m389M7VfOeHf2DJmht4au4+V7HAmYm34hDtWG0aTh8/zDMPfZ3zpScJ\nC4/imm/9osdZUjAzpv74jUSx51mRXBt4VbvtfD51LX/pC4PiY9q5cydXXHEFDz/8MPfee+9gHEKh\nHwgqFfGpY0hIG8PEuTd6tF22+odUFO+l9twxaitPUl95htbGClobK0hIy3fJVZcd5qWfz0VQqYky\npRIVk0qUKZlIUzKRxmSmLf62q6hiW3MNgkqFIdyESnXp/qoOFQQsRKq3E6XZQLRmPWHqo37lRMlA\nq2MhzfYCmu0FWMXRDG2ynwuL7zzwPBqdnvVvP89zj97K/157mq/e9iCXLbkWdeePN5Wg5sO3nufl\nZ/4PW4eVjJxx3PuLf5KUOWaYRx9aDEpU3uLFi9m6dSvh4eEe2x988EEefPDBXvVhNpsJDw/n9icq\nh9TH1J8Zk29fcjMm77787xdo34AzJg9Z+ZmYR1unrCg6aKorpb7yNJHGZJIyJwJQdGwz/33hJtqa\n/Wd3vuupE66s6m89+w2O7XkbBIGw8BjCImMwhMdgiDCROWouC6/6CeCchR3a8RqGCBNhETEYwp1/\nwyLj0BkiAya37S0DO2Pqne8qGF9VoPEEP2OS0KtOOmdE6vVEabaiEsx+5c2OcbTYl9NsL6DVMR8J\nQ+8PNsj0J+pRbsYk52Pyvm9ar99V7lF7Oq2zPtsn7/2VN1/8BbWVpQCsvPZ2vvPD3wECxw/u4MFv\nLwJg6Ze+zTfv+TV6Q7hHFB5cHDMmW4eZx28zhk5U3ubNmwejW4VhQKVSE5OQ41NTKid/Mff9rgy7\nzUprQzktjRW0NVXR0lhBa2MlkdHdK/ZVGi36cCPW9ibMbc7KwV3o9N0/Xtqaq3n3pdv9j0Ot4bp7\n32bkpJUAHPv8bQqPbiIiOoFIYxIR0QlERCcRFZNCVEwqekPvTM4XKyqaiNZ+TLTWOSvSqUr9ytkl\nEy32pTTbl9NiL8AmKesM+4MgCCxZcwsLVlzP9g9f4a2//j+aG+sQBGcW8Jj4FKJN8Xzr+7/jsqVf\nG+7hDhp2m5W9m//S5/1DPiWRQxQROn8SSIMUNu4xQ3H0LAees45A6YDcS2TIV6z19E8FmjG5N4ve\nvgqZffuTQsmbruugUumIjsslOi7XR6bLxnzlbX/tHKsdS3sDlrYGLO0NmNsaCIuIcVUNFiUVE+fd\nhKWtsVOuEXNbPZb2RmzWNtTaCJdsycmd7Nv8ot+xRcdlcvfT3YlAN/zjfvRhRkzxWZgSsolJyCI6\nNr1Hs2Jw0Yk9+64Gw1fVcz8iEeq9GHUbMGo3EKnZhSD4fpglSUWbYyZNtuU02ZbTZp/BBfAYAPoX\nju9+b7z9UV7LhHB3mXrPpnzLSPS03sjAZSu+y8yl36Ki5AStZmenkbEjeO6dKiRJwOKWHtAmM9Px\nmSHJzZi8npFy64+8nwdyUXqBIvi6DG8Ou43921/l03efoLnO/4+h3nBhfCIVLgpUak3nzCbBb3uU\nKYU13/qT3za7zeqhSPJnfZXY5JG0NVfT3lxDW0s1rU1VtDZWeFQedtg7+Hzjsz7fLJVaS0xCNouv\n/bmr3Eh7ax0OmzVg6HyooFVVEKPfiFG7gWjtJrSqWr9yHY40pyKyL6fZthSHFDvEI7100Wi0ZORN\ncL3v+lwNTVqDoUMUHRze+U+2/vcXNNYUA85o4Nrz/hddB0JRTAoXBBqt5wLNtNwZpOXOcL3vac2Y\nJIqsvOn3NNeV0VhbQlNtMY01xbQ2VVJXeRqV0K3sDm5/lY2vP4DOEEVC2lgS0vJJTB9HYvo4kjIm\nEGlMorxwD8f3/Jvi49tpqivD3FZPlCmFjJGzWXT1T0hIHTwntoCVKO0OTLoNGHUbidAc9CsnSnpa\nbPNdsyKzYxwgXBDKVuHCQ5IkXvrFQs6f3QNAXMpoFlz1ECMnreLJ2/v2I0hRTAoXNRqdgWmLv+2x\nTSWAzdpOffVZjLHdPhWHw05YRCzmtnrOFX7OucLPXW2RphR+8LsS3ntpLbXnTxIdm05iej46fQQV\nJQc5vPN1Tu57j9sf3U18im+etL5iUJ/BpFuPSbeBaN0W1EKbXzmzfUynIlpGi20hIuF+5RQUBgJJ\nkpAkEZVKjSAI5OQvpr25moVXP8S4Od9ApVJj6/AfYNMbhixXXrB0ReXd8kgZGu3wZX6Qy2nnjW/U\nWDARcr33a3jYywOMz73fwHnf+n6uvWWw1hAGlaEjwHm2t9RQe/4YNeeOU3PuKNXlR4iKSeOaO/7O\nib3/JX3kbH57Xw5IElpdOIkZE+mwtFBz7igT597Albf+EZVa06dMGmqhhRjDFmL0G4jRbyRMc9av\nnF2MptG6hCbbMhqty7GKgYvUXegzpoGKlvT2G8l9v7z79V6y595XMNGTPiXbZTI2+JRAl/H3+JTE\nkPEjBedjklx/zx7ZxOa3f8bkhc4E0wCW9lbUai1qjc4VwWfrMPP0nbGhE5WnoHAh4/SDLSRrzEKf\ntrEzrqa54RyjJl9BZelBmutKOVe4y9V+aMffGT11DWOnXwVAXcUpJEkkLnkUgl+tLBKpPUiMfgOx\nho1E63aiEuw+UpIk0GqbRoN1OY3WZbTYZiGhHTRFr6DgTempHXzy1jpKT24HnMU7piz8FoIgoNNH\nDOixFMWkoBAENms7589+QWL6eCKNSVjNzbS31tFYU0xDdSE6QySpOVNd8p++9yQHtr+KzhBFas5U\nUnOmkTdmBBMntJKecIBYwyZ0av9rwTocyTRYl3Uqo6XYpfihOk0FBRflZ3az5T+/oPDwBgAMETFc\ntup+pi+9Y9Bm4SGvmOz2oU1J5D399g7HdicYM5rPcWRMeT79eo1BFcTC3d6WZfB73B7G56RvFuDB\nKssQjBnSZ99eLmA+sP0ltrz9U6ztjT3KL/jSw0QYMzpD5SV0BhOm+FQyU88zc+ZWZszYyqhR8NFH\n8NQD8Prr3fuKooZG61waLMupsyynzTYBz0wLYsDxyi869k6DdWGZ9oJLtitTedrb5CYTuu9t9vMO\n3fYwqwdY5OsxOpk0SBBcyYngwrrl2rwW0UpQeGg9//z1lQDo9JHMXH43M5ffg87gzMVpt4k++3an\nJOr7czvkFZOCQihwYOtfWP/a3UTFpLPw6kfIHL2Q6Jh0tPpwBEHgjd9+ibNHNpCU6SztEqY5S1zY\nJn5wTxGxYS1oelAY7bY86szLOVWUxVMPPIAk7CcpUyQlq4KkzEkkZUwgIXUsGl3oZGBQuLhpqivD\nGOesrpszbglJmZPIm1DAzOX3EB7prLDrnQlioFEUk4JCACRJ4tN3H0NQqfn6Dz4iJrF7MbEgCJhb\n6yg+vhlBEJg/5Q3S4+4kQnfGb192MZJ682LOt0ZjtW/ms/PHADhd/D5qXRJtzVWUntzusuMDCCo1\n9zx92lVDq7zwc3T6CGKTRviE0Sso9AVJkig+sY3t7zxO2Zld3P3UScKjk1CpNdz2s11I0tDOrhXF\npKAQgPaWatqaq4g0pbgpJYlI3RESIjby1lvPITpspKXB6BTfbBTN1snUti+lpm0JzZZZSOhoML+G\nxKeIDmegQ96EAu55poi25mqqSw9SWXqQqtJDVJcdpq25xlWWBOD9l++ksvQggqDCGJ9FXPJIYpNG\nEJOQTdaYeaTlTR+Ky6JwESCJIif3v8eO95+i/IwziEcfFk1lyQFyJxQAzqTPUj+K/vWFkFdMot2B\n2JlaRRykyHZ3O3Egq6hc+iLfqCv3dDWeLXKphAKVYXffN2CIuptsoDDpvvsu5Anm+vaVQfMxCaDR\nmVBr9LQ2VWKtfIKpEwpJiPgYjVDJ3/8Om9Y7ZUeOdP612uOpbVtCTftyatsup8ORxNFdf+ODv670\n6f/xW7ujmaLjMln7xElyxhWQM67Atd1ht3X6GZyfp5ikkVgtrTTWFtNYU0RjTZHLMT33ih+RlDUN\ngOLjW/nw1buIjk0jIjqZSGMiEcYkIqITCYuIIW/8UteMy26zotboQjqkPJixyRUODNSNSuXmL1F5\nfxe9xyQzhiB8TL7tcj6mnhOqeqckknxCzbvDvvdufpFdHz1DfZUzfZchPIbpS9cyY+n3nKnCbN07\nB/JHuaeL6/pX7IcyC3nFpKAwXAjYiQnbQ0LkRpYVRPPR+zU894ufM3066HRw9Kjz4bN0qcCmTRKm\n1KVsL/oZzdZJgMrjQTpi4ipuerDbPFd46EMObn+Ja+5803ksQUCt8W+WU2s8C2hec8ffAWe6pcaa\nYuoqT9FQc5bGmiIyx8x3yTXWFlNXcZK6ipN++/3RCzUuxfTaU2soPbkdnSESrS4cjc6ARut8jZq8\nmkXXPOzss6aY9/56J4IgIAgqz6evJLHs6/+PhNSxAOzZ9Dwn972L5PYDTRCc18UUn8Xqm59zbf/f\ni99FJajQ6MLQ6sLRGSLRh0VjCDeSmjud+JTRzkOIIghKFov+IggCJ/f9j/qq0xjjMpm57C4mzb8F\nXYgkP1YUk4KCG2HaMhIiN5EYuZGEiK1o1U0A3Hc3JMTCxo2wdy/EJ2iYOS+f2Svu5R9//g/wLpr4\nu2m2TvHfb2QcYZ2OY4Da88dQaXSkZDtnN3150Ko1OuJSRhHnlmnCfeaYP/NaUrOn0dxQTltTNW3N\n1bQ2VdLWXIO1vRGdobsyseiwIUkiVnMzVnOzx3GSMrpzvVktrZw9sqnHMc2/8sfd51hxkrNHP/Yr\nl5g+3uP9oR1/d5k1vSm4/mmXYjq863XefekOjLHpRMdmYIzLwJSQRWxiHrHJI0nJnqLU/PJCkiTK\nz+xiz8cvMG3xt8kcNReA+Vf+hAlzvsHYGV9GpdaEVP4+RTEpXNKoBDPxkTtI7FRGUfpT/uU04az+\nygJmrlxKTdtS2jryAIFmSeCK277GFbcN7bh7g04fQWLGeBIzxvttd9eFt/x0M6LDjtXSgr3DjN1m\nwdZhwW6zEBZhcsmZ4rP4xv3vIokikredCGfizi6mL/kuoyav7j6YJCEhIYmizy/zNd/6I3abGVuH\n89VhbsFqbsJibvYoUNneUoe9w0xd5WnqKk979CGo1PzkL83QqZg+3/g8Gq2BlOzJJGWMR6PR9eq6\nXSy0NddwcPtr7N/2MjXnjgNOk22XYkrLm0la3szhHGKPhLxistscBKxF0U+C8XvIrvVR9dyTT0kE\nGV+Qt6/KN6V/79cbeZTpkC3nLU9/fDjBpHUaKHo+N4kowwmSoz4mKXoT8ZE7UausfiUbzeOpaVlC\nVctS6ttnI0p6j35A6vW98Lnddgmk7nUgQRWV7Ee5Evl+1Wj1JrR6k09bVwkTtTaS7LHLZPvpko1J\nHENMYs9Jbd1Lb4+bfX0v+pSYdvmdjJ9zI8315TTXl9FcX+Za3Gy3WZBQY7eLCCqBLf9+lPaWGue4\nNToS08eTnD2F9LyZ5OQvxtSZhV6+AKX82i/3Uhz9ycIhV3jP27fek9/IKQtnj2xi3+Y/c+rA+4gO\nGwAR0YlMnHsjUxZ923XdHV75i3zH4LY+yrucho8vy30MXeuY+v7cDnnFpKDQX7TqBhKjtpAUvYmk\nqM2E6875lbPaY6luWUxVyxKqWy7HYk+54BahXgrow6I7M7/n9ygjOuzMKribqtJDVJbsp77qDBXF\n+6go3sf+LS9ScP1TzFp+F+A0OTZUF5E+YhZhETFDdRoDhr3DgsPRgT7Muei17PROTuz9L4KgYsTE\nlUyafzMjJ61CrdGGlLlODkUxKVyEOIgN309StHNWFBu+F8FP9hBRUlPfNoPqliVUtSyhwTwZGBr/\nxPg5NzB+zg1DcqxLEZVaw9wrfuh6bzU3U1lygPNFX3D+7B4yR81ztR3e+U+2vfM4AAlpY0kfMZv0\nEbNIHzGThLSxIemzaqot5ezRTzh14H0Kj2xi/pU/Zt4V/wfAhMu+gT4smvxZXyHKmBqgp9Ak5BWT\nMyXR4Jry5PCtStv9r4+JSsZU5v1Y9Kk06xGG7ikd0Azo0SZvBux1PzLnHQi58PbBIkx7nmTTZlKM\nn5Bk3IJe0+hXrs2aTmXT5VQ2XU5V80JsDqPXdZA37PYnK7xHP8Hc0wDh7HL01QR7oUW9BTKjqTWR\npOXNIy2vWyF1dDjvdaQpnfQRc6go3teZUf44+7e+DEBS5mRu+5lzfY8kSdRXnSQ2aSQqtfPROVhW\nandLWZeZ7PTBDzl94D2Kj2+modoz63zt+ZPY7RKiKBEdm8v0JXcDvmmBPNIXeZnjvJM5yJryZMLH\nu7JCKCmJFC45VIKFhKjPSDFtJtn4MaZw/5Uy7aKBmua5VDZdTkXT5bRYRuGZf07hUmfygm8xecG3\nsNusVJUd5HzhbsoLd3O+aA+JboEXLY3neeHByWi0BhLSxxGXPJr4lJHEJY8iNimP+NQxaHV9L9Ej\nig7amqqoqzxNTcUp6ipOMqvgHqJjnDXDjn/+Joc/+wcA+jAjWWMWkDNuKSMmrsQYl9m/ixBiKIpJ\n4QJBIspwmhTjZpJNn5AYtQON2n8hssb2MVQ1XU5F0xJqWuYgSkqeOYXAaLR60nJnkp43k5k4/U8O\nu83V3tZUhTE+i6baEiqK9lJRtNdj/9t+tpPUHGf4//b/PUHx8S3ow43oDdGo1RoElRpBpSIhLZ8Z\nS24HwNxaz99/tZqWxgramqp8Ih2zxy5yKab8WV8lPnUsWWMXkZI1xTVru1D8RsGgKCaFkEWrbiYp\neivJxs2kmD4mQl/uV67DbqSyaVHnrGgx5o60C84UpRCauC9uTsmeyl1PncLS1kh1+RHqKk9TX3WK\n+srTNFQXEe1WDbmy5ABFxzb77TN77CKXYhJUaiqK97nawqMSiEnMJS5lNPGdry5GTFzBiIkrBvoU\nQ5KQr2B7zV3HUGucv3iHIiVRMPgv/ObeHkwIcDClLHpfwVbu3ILxVQVD3+3uInGRB0mJ2UyqaTPx\n0V+g8uNfFCUVdS1TqGhczPmGxdS1TEHy+o01eGUweu8LGqwKxh799KOUSTAMlKIP9LgZqOP01bca\naAy9DdWvrThBS305VnMTVnMLomhHkpxrvyKiExkz7RrAmcmiomQvkcZkIqKTUHeutZK7TsGEdQfj\nN5ILS/cej8PLf+TXx2Qz8/K6DKWCrcKFR5i2ipSYzaSYtpASswWDtt6vXJs1hYqGxZxvXExl4wI6\n7BdeWK/CpUN8yhjiU3pew9WFoFKRmjNjCEZ0YaEoJoUhRSVYSYj+nNSYzaSYNhMbedSvnEPUU9U0\n2zUramofgxK0oKBwaaAoJoVBJ9JwltSYzaTGbCbJ+Cladbtfuab2kZxvWExF42KqmubgEMOHeKQK\nCgqhQMgrJrvNgSSFaEoir/VGsiUnAtjORTfjtc8apyDWUnnLuo8wUMl2uXOTw/vcVOpWUmI+JS12\nC6mxW4gOK/G7X4c9ivP18zlfv4hz9Ytos2Z4SfT9vvfLxyTjSAjGdzEcvio5LraAkGBKsfTZ1xrE\nNRvINU1yBWLl/E/98Rt5V6V17yuQrOj2vOhqUtYxKQwzIrGRR0iL3UJa7BYSjXtQqXwzRUuSQG3L\nJJciqmmeiiRp/fSnoKBwKaMoJoU+YdDWkha7lbS4LaTFbiVMV+tXrt2a6FJE5xsWYLXF+ZVTUFBQ\n6CLkFZPdZkeS/NdpGQoCmb/cUcmYgMSA2cXFHtvkzBCi1zH7Y5aQNy/ZSDJ9QXr8VtLjtpFgPOxX\nziFqqWqcQXntIsprF1HfOhbPoIWhSS/VP1Ne77PE9/aY/UkV1VeToE+/F5kpT45g7n8wZlX5Y/Za\nNCj8VBfxbPcTqt29r4zZL5ApL4gwdNEtk7gru7it78/tkFdMDrsVh92M3WbGYbcgOiw47Fai40ah\n0TrLUjdUH6K9uQxJdCAhdi6FdlbY1BpMJGUucPVXV7EXtcaARheBVhuJRhfpWiel4ElUWEmnItpK\natxOdJpWv3JNbdmU1zkVUUXDHOyOCL9yCgoKCr0h5BXT+ldm+90+/5q3MCWMA6D0+JuUnnjLr5wx\nPt+lmCRJYuf/fDM6qzQG9IYYxsy8j/SRawBoaThDfeU+wqNSCY/OIDwqFZX64i40plG3kxLzGRnx\nW0iP34oxosivXIc9gor6uc5ZUd1CWsxZQzxSBQWFi5mQV0yCSotGG45aE4ZaY3C+1HrUmu6ibabE\nidht7QiCCkFQdVfLlCTCo7rTvkuindjkaTjsZmwdrdg7WrF3tCDaLZhbKzySTtWU7+Tozl+6j4Sw\nyBQijFlExeQyfu6DCCGYDj84JGKjTpARv4WM+K0kx36BWtXhV7K2eTxltQspr11IdeM0JPR+5RQU\nFBT6S8inJFp+055BNbVJkoTDbqbDUo9W70y4CFBTvoPzhR9ibqugvbkMc1uly9irD4tn6fVbXH6D\nnf+7EbXGQFTsaEwJ4zDG5xMenSnrc/LxI8nJBlX2Qq5EgoBBV096wqdkJmwnI3E7EYZqv7Jmaxxl\nNfMprVlIec08zB0JvT5OKBJU2G8ffQ7B3Je++qqc7X0LZw/2OBcTA3X/+9NvXwnmES3nJwLvSrMB\njuuW+yhwGLpbv53+crvNzBtPj1JSEvUFQRDQaMPRaD0XcyakzyUhfa7rveiwYW6toLWpCIetzbXd\nbmunvnIfIFFTvsO1XauLxpiQT96k20jMmMtwIQh2kmIOkJW4jczE7SSaDnuUg+7CIWqoaphKWc1C\nSqsXUtucDwySN1dBQUFBhkteMfUWlVpLhDGTCKNn3RO1JozLr1tPc/0JmmqP01R7jKaao1jNtdSe\n20XO+G6f1rkzH1Bdto3YpKnEpk4lKibPaXocYCLDzpOZuI2sxG2kJ+xEr23xK9fUluGcFVUv5Fzt\nbOyiccDHoqCgoBAsimLqJ4IgEB6dTnh0OsnZS13bzW1VNNUcJjZ5mmtbVckWzp15l/JT7wCg1RuJ\nTZ5KbMo0EtNnE5M0sU9jUKsspMXvJjNpO1lJ24mNKvQrZ7OHca52NqXVCymrmU9TWzbuodyDFe6q\noKCgEAwhr5hEhwOhF6XV5eL1vZGzrQcqA+5pU+5ZWKuNJSF9MeCM51epBPImfgtjwngaqvbTULUf\nS1sVVSWbqSrZTE3aZcxe/ZfOMXRQX7kXU+IkNNpwPz4miIs+Q1byp2Qnbyct4Qs0av9BCzWNYyit\nmkdJ1QIq6qbiEPVu/UiA23WTSUMUzHquUCSY0ibea8Pc6XMJdK/9vC+f+76BfUx9W2fl209o+5i8\nv9ODNd5gSryE4iXzLMMuv+jJ08ckv+apr2ugutq8y68HQ8grpouJqNiRRMWOJGfc9UiShLn1PPWV\n+2io2ocxYbxLrqn2GLvevxVB0GBMyCcueTpp2WOZPNnKyKx9ZCXvJCq80u8xzFYTpVVzKamaT2nV\nXNqtyUN1egoKCgoDgqKYhglBEAiPSiM8Ko30kWs8frU57GZiEseSHH+CGdMPMXPmIcaMAbWf6HRR\nVFNRN4mSqnkUV86jtnECEmq34wzF2SgoKCgMHCGvmAYlJVE/zFDyYb5eJgH3jLu9qJoZGV5FTupO\ncufsJOuuc4Tp/U+Fm1pTKK6YS3HFXN7+29+xWMMwJdgwJdZhSqhFHxbn0W/P4w0mhPbCdkB5p4SS\nQ85U5ivb3W8wqaPk+ulP6qhgzlNuDINFMCb3gUT+3Hp+IPTnmvS1MrY3wVTuHihznHe7b789f0e6\nxuuwX8QpiS5m1GorGYn7yEn7jNy0HSTE9BS0oKesajpnz83m+Ok8rMwHBOy2dsoKfwCSSE3Zpy55\nQ0Qyxvix5Iy/gYT0y4bobBQUFBQGBkUxDSkSscZiclN3kpO2k8zkvWg1Fr+SNY0jKD5/GUXn51Je\nPRW7o3uRcdcv5q5Q9caawzRWH6ax5ghNNUewtFViaaskfeSXXPuUHH+D0hNvExUzgkhTNhHGHKJi\ncwmPSvfIoqGgoKAw3CiKaZDRa1vISv2c3PTPyE3biTGywq+cxRpFccUcis7NobhyHi3tgYMW3P1U\nqbkrAJBEB23NpTTVHiM2pTtUvbH6MI3Vh2isPuTTjylxIgu+/IbrffGxf6EPi8MQnoAuLA59WCw6\nfWSwp66goKDQJ0JeMTlsNhCHLyedt99IzvvgtEeLpCScIC/9M/IydpGedASVyteGLYoqzteMo+jc\nHM6Wz+F8TT6SpHE7pt2rX7d93brz548whKdjyEwHulPPj5x6D8k5q2hrKqKtqYjWxiLam0swt1ai\nUulwdMo57FYObV3n06dKbUBnMDJuzo9JyV0OQHXZdirObkCtdeYxVKl0qNU6VGo9ao2BrPyvufav\nKNqIw9YOCJ1Lp7rHHRWThzE+HwBLew215z7zvrKuPIiJGQvQ6JzZy5vrTtBhbUKl0qFS61Br9Kg1\nYZ25FcM9ZoJ9TR0TyMfg7nuTDwGX91sFSiXlTiB/VW/7ld0viOsVolnNek1/0grJ+fuGakWFt2/I\nnWCq3Xr7jURZH1PgYzrsfb8CIa+YLgQiw2vJzdjNiIxd5KbvJjysya9cc1sCZ8vnUFg+h5Lzs7BY\nhy7Tgs5gIi5lBnEpM1zbVCoBUbRj7+hOsSSKHWSO+SqW9iqs5jo6zPVYzXWIDguWNk+zY3PtccpO\nvu33eFpdtIdiOr7rV7S3lPuVzZt0m0sxtdSf5sDmB3o8j8XXrXcpptP7XqCiaINfudiUGVy25hUA\nHHYLO/93IzqDCZ0hxvkKi8UQHo8+PBFTwjiPgBEFBYXhRVFMfUCt6iAj5RB5GbvIy9hFcvxpv3J2\nu46SiimcLZ/N2XNzqGnIo2umMFARO/1FpdKgM3QrSK0uignzHvaYKToT3bZjszaj1Ue7tidmLkQX\nFou9ow2Hw4Lo6EB02BAdVp8SIcnZS7Ca6wEJCc9fW9FxY1z/68MTSBtxRfexkTrXAEtIksNVgwuc\n68KslobO41oRHR3Ybe047GZ0+u5zsnW00FR7tMdrMG3Zb0ntnAWWnfwv5WfeJTwqnYjojM40VFlE\nGLPQaINLRKmgoNA3Qj67+PyrN6NWD18hP+cDWiLWWEZexm7yMnaRnbYXndbsV762IYvC8jkUls2m\npGIqdrvBrZ9uggk7709VWtlM1EFUXL2QER0dNNefpMPSSIelwfky12Fpr8HSXkP+rPsxxo8F4MiO\nxyk68je//RgTxrHw2u4ZYmP1YSJN2R6K3Z3gsjn03pQXzL1RTHmBGSxT3lARqqa85vozfPLPVRdn\ndnHRISJ0WmvlbsBA0fVB02nbycnYy4jM3YzI+pxY43m/8hZrBGfLZ1BYOpMzpbNoaklxtTk/8F12\nVk97azBpb+TLHASQlSnZLpd+6eIqwy0QFZMvK9Hli8scez2xKbNpbymjvbkcc0sZbc2ltLeUoVaH\ndfviHB1s//d1SJIDQ0QSUbGjiI4dTXTcKKLjxhBpzEGl7v56BeOr8sZ3bVL3jeuPwlMITCDLRjBe\nlL7+2AuUZsidQGueZBWKzDom0WsMPcm2NJzh3Jn3qSrZTEv9qV6N2R8hr5iGCgGR5ITTjMrZQ17m\nbjJTDqNW+wlakAQqqkdzpmQWhWWzKa8ahygql/FioSvKsYuuHyqiaMdmbXZtt1kaiI4bTUvDWSxt\nVVjaqqgp2+5qn3L5U6SPXA1AS0MhDoeZ6NhRSmi+wkWF3daG6OhAqzcBzgKrZ/b/EQC1JhyHvb1P\n/V7ST9SIsAZGZH3ufGXuITKiwa9cS1schaUzOF0yi7OlM2i3mICLy9ylII9KpUEfFut6b4hIYt5V\nbwASbS1ltNSdorn+JM11J2muP+kyDQIUHf4bJcf/haDSuCIQjQn5GOPHYYwf7eE3U1AIZSRJoqXh\nDNUl26ku20ZdxV7yJn2LMTPuASApazFtTaUkZ1+OKWE861+Z3afjDIpieuedd3jooYcoKytDkiRy\nc3N58MEHufbaa4Puy26zIwUZLt4WVkhxxnNkl91JhDnPtV2lspOZeoSR2XsYmb2HtCT/U027Q0PJ\nuQmcLp7J6eIZVNZ0By10SgAD69/xkPWaqPlmF++W9Z7ky1dRDSaL8sVlAurrj4jepJIyhKVhSE9z\nZZPvoss8qDXEEWnKo7WpyKm46k5SdvI/AMQmT2fOFX9FVKkQHR3UVXyBMX4sOkOMxzF6Pq++mwhD\nEW+T0VAgd40CmeqCM3kPTgB5cBVue65KK9dvZdEnVBZvpPbcLiztVd1CggpzayX2DhsAekMyY2f+\nCHBGw/aVQVFM06dP58MPPyQ1NRWA7du3U1BQwMiRI5k0adJgHNKDmriNNEXvoyZ2E+mtYZ2K6HNy\nM/Zj0PufWtY2pLkUUVHZZDps4X7lFBSCZeSUOxg55Q7stnZaGk7RXHuM5voTNNcew5TYXYOrtfEs\nuz+4DXDOyKJjRxMV1+27ijTlolJd0kYOhSHA3FZFfcUXxKXOci2jqCrdQvlpZx05fVgc8WlzO1+X\noTOYgvKD9YZB+ZSnpXXb6EVRRKVSIUkSp0+fHjTFZNVWY1e3otV00JjwAQCWjH/x5cn/BCBCDQY3\n8761I4yzpVM51amMGppSB2VcCgpdaLThxCROJiZxst9oLofdSkzSFJrrTrj8VtVl21zti7/2AZGm\nHAAqijZht7URFZNDhCnbIzxeQaG32G3tNNedpLH6EA1VB6ivPoil1ZmdZvLiJ0gfeSUA6SPXEGnK\nIT5tDlExIxnsQMxB+/nV1NREVlYWbW1t2O125s2bx+rVq3uUt9ls2N2y0ba3O2c2osPaq+PtnfTV\n7jei81VvE/mWWxKBl0fncaZkGqdLplNekY9D1Lr10LvjuBPQlCf1bCKQJC/znIys92EEsY+F7IIw\n60iKKa9zv8CmvL4cU/Jjyo2OG83s1S8iSSJtTWW0NJyipeEMrfWnaW0qRh+e4DKPnDnwZ4/0UhPm\nryNzzNV+jqOY8gLRn2sUCtGrfTXliXY761+dh+jwNLmptRHEJE5Cowl3fd6c/tBxzv0cVt9M5H7u\nW9e+fVpOIAXBN7/5za6Sp35fCxcu9NnHbDZLb731lvT4449Ldru9x77XrVsn27fyUl7KS3kprwvv\nVVlZGYyakSRJkoJaYNva2orF0rNDS6vVYjQa/batWrWKlStXctddd/lt954xtbW1kZCQQG1tLeHh\nl4a/x2w2ExcXR11dXdAL0i5klPO+dM77UjxnuDTPu729nfj4eFpbW4mICC7yNChTXmRkJJGRfcsy\nbbPZOHnyZI/tWq0WrVbrsz08PPySuZFdhIWFXXLnDMp5X0pciucMl+Z59yUydFAM0K+++iqnTp3C\n4XBgNpt54YUX+OSTT1i5cuVgHE5BQUFB4SJiUIIfCgsLWbduHdXV1RgMBkaNGsU//vEP2eAHBQUF\nBQUFGCTF9Mgjj/DII4/0qw+NRsO6devQaC6ddRuX4jmDct6X0nlfiucMl+Z59+ecQza7uIKCgoLC\npcmFtchBQUFBQeGiR1FMCgoKCgohhaKYFBQUFBRCCkUxKSgoKCiEFCGvmN555x0mTpxITEwMJpOJ\nqVOn8tZbbw33sAadV199lblz5xIbG0tcXByLFi1ix44dwz2sQefgwYOsXLmS5ORkBEFg06ZNwz2k\nAUeSJNatW0dqaioREREsWLCAI0eODPewBpXXX3+d+fPnEx0djSAIHlleLlYeeOABJkyYQHR0NCkp\nKXz961+nrKxsuIc16DzyyCPk5eVhNBqJj4+noKCAAwcOBNVHyCumrhIa9fX1NDQ08Mwzz3DjjTdy\n8ODB4R7aoNLS0sLDDz9MSUkJlZWVXHXVVaxYsYLy8vLhHtqgotPpuOaaa3jvvfeGeyiDxlNPPcVL\nL73E+vXrqa2tZe7cuRQUFNDa2jrcQxs0YmJiWLt2Lc8888xwD2XIEASBv/71r9TW1nL8+HEEQWDN\nmjXDPaxB57rrruOLL76gqamJ8+fPs3z5cgoKCnA4gqhHFXR2vWHE4XBI27dvl/R6vfTmm28O93CG\nHKPRKP373/8e7mEMGYC0cePG4R7GgJOdnS0988wzrvc2m02Kj4+XXn311WEc1dCwefNmCZBsNttw\nD2XI2b9/vwRI9fX1wz2UIcNisUi/+c1vJECqrq7u9X4hP2MCZwkNk8mEXq9n/vz5zJgx45LLIrF7\n925aW1uHpNCiwuDR1NREcXExM2fOdG3TaDRMmTKF/fv3D+PIFAabDRs2kJWVRUxMTGDhC5z3338f\nk8mEwWDg+9//Pvfddx8JCQm93n/YFNPNN9+MIAg9vhYtWuSSNRqNNDY20tLSwltvvcWqVavQ6XTD\nNfR+Ecx5d1FWVsbXvvY1HnjgAXJzc4d+0ANAX877YqS5uRkAk8nksT0mJsbVpnDxsWnTJh555BFe\neOGF4R7KkLB69WoaGxupq6vj6aefZs6cOUHtP2yZHwazhEYoE+x5nzlzhmXLlvGVr3yFJ598ciiG\nOCj05X4LgsDGjRtZunTpYA9vyOia/e/cudPjy7p8+XLGjx/Pr3/962Ec3eCzZcsWFi9ejM1mu2TS\n87z33nvccMMNvPzyy1x9tW8xx4sdURSJiYlh27Ztvbb4DNsnYzBLaIQywZz3oUOHKCgoYO3atTz0\n0EODPLLBpT/3+2LCaDSSnZ3Nnj17XIrJbrdz4MABbrzxxmEencJA89prr7F27VreeOMNCgoKhns4\nw4IoithsNk6fPt1rxRTyPqZLtYTGzp07WbRoET/60Y8ueKUUDJIkYbFYXLMrm82GxWK5qMKL165d\ny1NPPcWRI0cwm82sW7cOrVZ7Uf+adjgcWCwWOjo6ALBarVgslmEppT5UPPvss3zve9/jvffeu6SU\n0m9/+1uqqqoAqKmpYe3ateh0OubOndv7TgYrGmOgePjhh6Xs7GwpPDxcio2NlWbPni29/vrrwz2s\nQWfRokWSIAhSRESEx+uxxx4b7qENKkVFRX7LM69bt264hzZgiKIoPfTQQ1JSUpIUFhYmzZ8/Xzp0\n6NBwD2tQefnll/3e182bNw/30AYNQNJoND7f4W3btg330AaV1atXS4mJiVJ4eLiUnJwsrVmzRtqz\nZ09QfSjZxRUUFBQUQoqQN+UpKCgoKFxaKIpJQUFBQSGkUBSTgoKCgkJIoSgmBQUFBYWQQlFMCgoK\nCgohhaKYFBQUFBRCCkUxKSgoKCiEFIpiUlBQUFAIKRTFpKCgoKAQUiiKSUFBQUEhpFAUk4KCgoJC\nSPH/Acht4iUCsfRqAAAAAElFTkSuQmCC\n"
}
}
],
"source": [
"table = numpy.ma.masked_array([x, y, data]).reshape((3, -1)).T\n",
"geom = convert_array_to_geometry(table, obstacles=[(0, 0)])\n",
"psi2tree = Psi2tree(geom, threshold=1.0e-1)\n",
"\n",
"cot_tree = None\n",
"cot_tex = \"\\\\rm Error\"\n",
"try:\n",
" psi2tree.compute()\n",
" cot_tree = psi2tree.get_tree()\n",
" cot_tex = cot_tree.convert(to_short_tex)\n",
"except Exception as e:\n",
" print(e)\n",
"\n",
"plt.title(f\"${cot_tex}$\")\n",
"plt.imshow(data, cmap=\"coolwarm\", origin=\"lower\", extent=[numpy.amin(x), numpy.amax(x), numpy.amin(y), numpy.amax(y)])\n",
"plt.contour(x, y, data, colors=\"k\")\n",
"vis.draw_graph_markers(psi2tree, lw=2, edge_color=\"y-\", node_color=\"g*\")\n",
"if cot_tree is not None:\n",
" vis.draw_COT_labels(psi2tree, fontsize=16)"
],
"id": "3837c296"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visualizing Partitions\n",
"\n",
"Mathematically, a Reeb graph is defined as a quotient space under an\n",
"equivalence relation. The algorithm used in `psiclone` also yields a\n",
"partition of space based on such equivalence relations.\n",
"\n",
"To visualize this partition, the function\n",
"`psiclone.visualization.draw_partition` is useful. By examining this,\n",
"you can get an intuitive sense of how `psiclone` captures streamline\n",
"topology through the Reeb graph."
],
"id": "624aed17-18bf-4c1e-bdbf-58ba225dc175"
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"quarto-private-1": {
"key": "colab",
"value": {
"base_uri": "https://localhost:8080/",
"height": 433
}
}
},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAbIAAAGeCAYAAADxHYRRAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\n"
}
}
],
"source": [
"vis.draw_partition(psi2tree, bitmap=True, discrete=True, cmap=\"tab20c\")"
],
"id": "16ace8aa"
}
],
"nbformat": 4,
"nbformat_minor": 5,
"metadata": {
"kernelspec": {
"name": "python3",
"display_name": "Python 3 (ipykernel)",
"language": "python",
"path": "/opt/build/repo/.venv/share/jupyter/kernels/python3"
},
"language_info": {
"name": "python",
"codemirror_mode": {
"name": "ipython",
"version": "3"
},
"file_extension": ".py",
"mimetype": "text/x-python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.3"
}
}
}