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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Cellular Automaton\n",
"\n",
"John Conway's [Game of Life](https://en.wikipedia.org/wiki/Conway's_Game_of_Life) is something lots of people have probably seen. Its behavior is intriguing because it exhibits complex behavior with simple rules. I want to use his game as a starting point for an exploration of cellular automaton.\n",
"\n",
"I will assume some basic knowledge of programming (arrays, loops, etc.) but will try and make the code as clear as possible because I think reading code can sometimes explain the details quite well. Oh, and lots of pictures, because I like pictures. \n",
"\n",
"Let's get started."
]
},
{
"cell_type": "code",
"execution_count": 427,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# this makes plots show up as inline images\n",
"%matplotlib inline\n",
"import numpy as np\n",
"from matplotlib import pyplot as plt\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"import pandas as pd # we only use pandas for its pretty table displays\n",
"from itertools import islice, product, takewhile\n",
"from functools import partial\n",
"from scipy.signal import convolve2d\n",
"from collections import Counter\n",
"from random import random"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The grid"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A [cellular automaton](https://en.wikipedia.org/wiki/Cellular_automaton) is a grid of cells where each cell has a state. For the Game of Life, we will use a square grid and each cell has 2 states: dead (0, white) or alive (1, black)."
]
},
{
"cell_type": "code",
"execution_count": 428,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"grid = lambda n: np.zeros((n, n), dtype='int')"
]
},
{
"cell_type": "code",
"execution_count": 429,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0]]\n"
]
}
],
"source": [
"# this grid is all dead\n",
"print(grid(8))"
]
},
{
"cell_type": "code",
"execution_count": 430,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[1 1 1 1 1 1 1 1]\n",
" [1 1 1 1 1 1 1 1]\n",
" [1 1 1 1 1 1 1 1]\n",
" [1 1 1 1 1 1 1 1]\n",
" [1 1 1 1 1 1 1 1]\n",
" [1 1 1 1 1 1 1 1]\n",
" [1 1 1 1 1 1 1 1]\n",
" [1 1 1 1 1 1 1 1]]\n"
]
}
],
"source": [
"# this grid as all alive\n",
"print(grid(8) + 1) # <- the `+ 1` gets added to all the cells"
]
},
{
"cell_type": "code",
"execution_count": 431,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# make a grid with (approximately) `p` percent of cells alive\n",
"# `p` takes values [0.00, 1.00]\n",
"random_grid = lambda n, p: (np.random.ranf((n, n)) < p).astype('int')"
]
},
{
"cell_type": "code",
"execution_count": 432,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"There are 8 alive cells --> 0.125 percent alive\n",
"[[0 0 0 0 0 0 0 0]\n",
" [0 0 1 0 0 0 0 0]\n",
" [0 0 0 0 0 0 1 0]\n",
" [0 0 0 0 0 1 0 0]\n",
" [1 0 1 0 0 0 0 0]\n",
" [1 0 0 0 1 0 1 0]\n",
" [0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0]]\n"
]
}
],
"source": [
"# this grid will have ~10% starting cells alive\n",
"g = random_grid(8, 0.10)\n",
"print('There are {} alive cells --> {} percent alive'.format(g.sum(), g.sum() / g.size))\n",
"print(g)"
]
},
{
"cell_type": "code",
"execution_count": 433,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# let's get our pictures going\n",
"def show_grid(g):\n",
" im = plt.imshow(g, cmap=plt.cm.Greys, interpolation='None')\n",
" plt.tick_params(labelbottom='off', labelleft='off', left='off', right='off', top='off', bottom='off')\n",
" return im"
]
},
{
"cell_type": "code",
"execution_count": 434,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 1]\n",
" [0 1 1 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0]\n",
" [0 0 0 0 0 0 0 0]]\n"
]
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x7f42a7156400>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"g = random_grid(8, 0.1)\n",
"print(g)\n",
"show_grid(g);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Iteration\n",
"\n",
"A nice way to think about the Game of Life is as a function. It takes a grid as an input and returns a new grid as an output. In math, we would write this as something like:\n",
"\n",
"$$step : G \\rightarrow G$$\n",
"$$g \\mapsto g'$$\n",
"\n",
"where `step` is the function we will define and `G` just means, \"the set of all possible grids\"\n",
"\n",
"The Game of Life rules are defined by\n",
"\n",
" 1. Any live cell with fewer than two live neighbours dies, as if caused by under-population.\n",
" 2. Any live cell with two or three live neighbours lives on to the next generation.\n",
" 3. Any live cell with more than three live neighbours dies, as if by over-population.\n",
" 4. Any dead cell with exactly three live neighbours becomes a live cell, as if by reproduction.\n",
"\n",
"Neighbors are the set of 8 cells immediately adjacent to some cell."
]
},
{
"cell_type": "code",
"execution_count": 435,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x7f42a6dc7f60>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# the black cells are neighbors of the one middle white cell\n",
"grid1 = np.array([[0, 0, 0, 0, 0],\n",
" [0, 1, 1, 1, 0],\n",
" [0, 1, 0, 1, 0],\n",
" [0, 1, 1, 1, 0],\n",
" [0, 0, 0, 0, 0]])\n",
"show_grid(grid1);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"One thing we need to consider is what the neighbors of the upper left cell would be? One possibility is to assume anything past the grid is dead. Another is that the cells wrap around like those old asteroid games. Let's call the first mode `clip` and the second `wrap`"
]
},
{
"cell_type": "code",
"execution_count": 436,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def n_live_neighbors(g, i, j, mode):\n",
" \"\"\"Count the live neighbors of (i, j) under the given `mode`,\n",
" `mode` should be one of `clip` or `wrap`\"\"\"\n",
" N = g.shape[0]\n",
" live = 0\n",
" for di in [-1, 0, 1]:\n",
" for dj in [-1, 0, 1]:\n",
" if di == 0 and dj == 0: # skip the cell at (i, j)\n",
" continue\n",
" if mode == 'wrap':\n",
" live += g[(i + di) % N, (j + dj) % N]\n",
" else: # mode == 'clip'\n",
" if not (i + di) in range(N) or (j + dj) not in range(N):\n",
" continue # adding 0 is equivalent to ignoring the out of bound cells\n",
" live += g[i + di, j + dj]\n",
" return live"
]
},
{
"cell_type": "code",
"execution_count": 437,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The middle cell (2, 2) has 8 live neighbors\n",
"The bottom left cell (4, 0) has 1 live neighbors\n"
]
}
],
"source": [
"# note that array indexing starts at 0\n",
"print('The middle cell (2, 2) has {} live neighbors'.format(n_live_neighbors(grid1, 2, 2, 'clip')))\n",
"print('The bottom left cell (4, 0) has {} live neighbors'.format(n_live_neighbors(grid1, 4, 0, 'clip')))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we can write a function which produces the next state of each cell."
]
},
{
"cell_type": "code",
"execution_count": 438,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def step(g, mode): \n",
" \"\"\"Take one step in the Game of Life, \n",
" `mode` should be one of `clip` or `wrap`\"\"\"\n",
" N = g.shape[0]\n",
" g_prime = grid(N) # this is an all dead grid, so we only have to worry about setting live cells\n",
" for i in range(N):\n",
" for j in range(N):\n",
" live = n_live_neighbors(g, i, j, mode)\n",
" if g[i, j] == 1: # this cell is alive\n",
" if live == 2 or live == 3:\n",
" g_prime[i, j] = 1\n",
" # otherwise the cell dies (is already set to 0 by default)\n",
" else: # this cell is dead\n",
" if live == 3:\n",
" g_prime[i, j] = 1\n",
" # otherwise it stays dead (already set to 0 by default)\n",
" return g_prime\n",
"\n",
"clip_step = lambda g: step(g, 'clip')\n",
"# the above is equivalent to partial(step, mode='clip') in case you're curious\n",
"wrap_step = lambda g: step(g, 'wrap')"
]
},
{
"cell_type": "code",
"execution_count": 439,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f42ab1595f8>"
]
},
"execution_count": 439,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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WAQAA6AiLAAAAdIRFAAAAOsIiAAAAHWERAACAjrAIAABAR1gEAACgIywCAADQERYBAADo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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f42a928a9e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"g = random_grid(16, 0.1)\n",
"g_prime_clip = clip_step(g)\n",
"g_prime_wrap = wrap_step(g)\n",
"\n",
"plt.figure(figsize=(16,9))\n",
"\n",
"plt.subplot(131)\n",
"plt.title('Original state')\n",
"show_grid(g);\n",
"\n",
"plt.subplot(132)\n",
"plt.title('Next state mode=clip')\n",
"show_grid(g_prime_clip);\n",
"\n",
"plt.subplot(133)\n",
"plt.title('Next state mode=wrap')\n",
"show_grid(g_prime_wrap);\n",
"\n",
"# there may or may not be differences between the two modes in this random example"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So let's just stick with `clip` mode for now and look what happens when we advance many steps in a row. Since `step` gives us back a grid of the same size, we can simply call `step(step(g))` to take two steps."
]
},
{
"cell_type": "code",
"execution_count": 440,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x7f42a712fd30>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"g = random_grid(16, 0.1)\n",
"g_prime = clip_step(g)\n",
"g_prime_prime = clip_step(g_prime)\n",
"\n",
"plt.figure(figsize=(16,9))\n",
"\n",
"plt.subplot(131)\n",
"plt.title('Original state $t = 0$')\n",
"show_grid(g);\n",
"\n",
"plt.subplot(132)\n",
"plt.title('Next state $t = 1$')\n",
"show_grid(g_prime);\n",
"\n",
"plt.subplot(133)\n",
"plt.title('Next Next state $t = 2$')\n",
"show_grid(g_prime_prime);"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"To see what happens as `t` gets larger, lets get a better visual going, like a movie! But first a function which takes a grid `g` and will yield `n` intermediate grids at each time step."
]
},
{
"cell_type": "code",
"execution_count": 441,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def step_n_try1(g0, N, mode):\n",
" yield g0\n",
" g = g0\n",
" for t in range(N):\n",
" g = step(g, mode)\n",
" yield g"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As an aside, this was the first version of the function I wrote; it does exactly what I want but is very specific to the Game of Life and the `step` function and its `mode` option. Let's try for something more general."
]
},
{
"cell_type": "code",
"execution_count": 442,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def step_n_try2(f, x0, N):\n",
" yield x0\n",
" x = x0\n",
" for t in range(N):\n",
" x = f(x)\n",
" yield x"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now `step_n_try2` only cares about an arbitrary (but single argument) function `f` and the initial value, `x0`. This bit of abstraction would let us reuse this function in another context. But we can still do better. We'll first define a a function `step_many` to take steps forever."
]
},
{
"cell_type": "code",
"execution_count": 443,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def step_many(f, x0):\n",
" yield x0\n",
" x = x0\n",
" while True:\n",
" x = f(x)\n",
" yield x"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Finally we can see that the standard Python function `itertools.islice` will let us take the first `N` of those. This gives a general set of functions which can easily be applied to other problems."
]
},
{
"cell_type": "code",
"execution_count": 444,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"step_n = lambda f, x0, N: islice(step_many(f, x0), N)"
]
},
{
"cell_type": "code",
"execution_count": 445,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Don't worry about anything in here, just connecting pipes together to make movies show up in this notebook\n",
"# adapted from source: http://nbviewer.ipython.org/gist/edrex/9044756/mpl_animation_html.ipynb\n",
"from tempfile import NamedTemporaryFile\n",
"from IPython.display import HTML\n",
"from base64 import b64encode\n",
"import matplotlib.animation as animation\n",
"\n",
"VIDEO_TAG = \"\"\"<video controls autoplay loop>\n",
" <source src=\"data:{0}\">\n",
" Your browser does not support the video tag.\n",
"</video>\"\"\"\n",
"\n",
"def anim_to_html(anim, fps):\n",
" if not hasattr(anim, '_encoded_video'):\n",
" with NamedTemporaryFile(suffix='.m4v') as f:\n",
" anim.save(f.name, fps=fps, extra_args=['-vcodec', 'libx264', '-pix_fmt', 'yuv420p'])\n",
" video = open(f.name, \"rb\").read()\n",
" anim._encoded_video = 'video/mp4;base64,' + b64encode(video).decode('utf-8')\n",
" # prevent figure displayed as a PNG below the animation\n",
" plt.close()\n",
" \n",
" return HTML(VIDEO_TAG.format(anim._encoded_video))\n",
"\n",
"def grid_anim(gs):\n",
" fig = plt.figure()\n",
" def frames():\n",
" for t, g in enumerate(gs):\n",
" # TODO: get this to work with the title\n",
" # yield (show_grid(g), plt.title('$t = {}$'.format(t)))\n",
" yield (show_grid(g), )\n",
" return animation.ArtistAnimation(fig, list(frames()), blit=True)\n",
"\n",
"def show_grid_anim(gs, fps=2):\n",
" return anim_to_html(grid_anim(gs), fps)"
]
},
{
"cell_type": "code",
"execution_count": 446,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<video controls autoplay loop>\n",
" <source 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lk9n48YeqYm6ON5EItynkWAxlt7gpehBJTKTdfh1x/I2Na6u40JIgfaUiTvBoVE6nAmDBv9gEBNcs1RpLYz+93IA3v+fkwORiXXTvfeBemQSi1quyhlBIt8DyS9hgw+wf1qOJv/4HUEFE6vg4MhkydZGA1SjuqF8woAAvIEAAAMsQZoibEFf/talUA5vIwfOQaC2BAPmpWfwxPKrZ+NO0kp9nROfZ5QKCRgBXdP07RAAANvnsfpsVrhaxq59oA+/3f4sr3efyQJE6LJti7ZHPPEvxh3UekX60KADCbhtVSunCH8k9QtRCEno4M5Tg0tJP4dPedVzG6gRckTsdFR41r5Zg/M+9MtnmfT/Fi8z/hDQYI5SGLFReWbQyV6nvbb53k3ygdhSDIILDd8oj2IwAMEq+198MbSbGmjDKqS9yNc6N9OF44parcmhs8DDRB+r1BU4ZUaISH/XXYVyEfa/cx4TV+Ma068rEySgWZLzzX0vs2OpAoscT5QCxPkIvEpduLUZx/QfsCqRzbvH3p9mI91H3wiJQxOOggioAEdSUmE98mNlaJQwu3JHuuWw3+DccZnViQvCaEmOkz8riigaiQV7qZk234ySg+gm2mn8RuYo1P7tU+4CHjk0G2TwQgcbmdf/u6VJFtrv5FBtF5AhFRoUQ6ietYfoWoZnkZCyNHy/IaWLT/+VU4OwBNgqNWQl8RI8I1vWSeh0QRavt50DpacTWleVbSFjjmFgMlQLquSx51oL6G1WcwmPnarmW0+Ut2MDJRwMHvqWasOOlT8ddZ23E/gFogZtotiTMht7SyZQwdXsSqv/Vy4DEE+2wrjuGP9NzizcDsCp5J/67+hDunDnHN2rbAdll+7BxPS4ouhk8vY8tq2uq0qNgwfXzffLgMR7Mq6cvlvuBt8GbuSSRXdQXyVGavIMlppgmOC1+qAYSal4Ho4LY95vbMdfyW7ItVNdLTE6P4drHpIfYURzUlAcRoHgf68DTPh0Pc8n/mbQFjqH/6jXJfthJ5EDGUO4KBFfyUlGa/GE78QMYMMZHOj8/IBdovIElfA09w/cvMcjSu8j5LLuBIpwl867frphshYKLuwzzHvyVH3Bb9rtoNn8JuVuOAmKfaDAWhBYxgjVeCtbqKnefM8o/z79Shb002WPBHoW50NyfgN1gFKqHEA9lOxT2zPpp6CQdVzQottaqv2tdQqD2Zr34sTp022Vv3nptEDpdq//JqJlcWMrU5nkHKaVmK7bj5LFUygAAAIgAZ5BeQR/AB4rzDo+HMHeHGPaseOeYs7EqPpGQLSP4dE636Y/DN3bEv0C1PFv85BFHx/vgElCEYc+3/3+BfZDuSR/0Nztz/JNV8vxONGlXIviZ+qLp8tPrWt+gDweFR+bBHL+QuVJ2/gviFdmEZeQYrcatXv/CysI73qTjUllZ25vU0IDDL1Oq288SDu0p9JCUH67O8h1Kn7QA83c0Tb8sW1RvPvjnIZmLi8FaAIvmaJZ78WR9yy/F5EpbG8N0CM7lkoHpyFY8nerF8nYAXY+Jgx2wa9rpodDKH/CiNP3CwC5/dz5sOLukZSTc+lciUm7XM4DGvdLfkHNYcT24OMdj501Vx/ktiiv1jvTzeIf6RRcThCekWYMkky0A6t83y3Qht1pl9tq4IazzQqVZ7T6BFXe7UElfkv84wExmDQMabEzrOMjO5jZjcPe2daJ6vD6LIC5k7AjUQGuciM9yhZ/t/Y6LYKH0XRK4RVAMaBjVDuGNWrndfJV/9yUUDalK0ufPcy7T7+WqiXPA/0S/c2xPRWx8byuIb8KGq23KGoW5DL39dpNtYG+CJ8bWH5UCyx449VyC/S4C9nrBnJG8GOkd+eJ6vSfzdciOT8q5vCoa9Db8Ze9nptvq4wuupUmzCocyyB7JWU6nXCWM1Fbujtn1M+xICAGrPqFnNqtEoR7d6wtEUOnVrOVg6JXtuViLh8GEuFpMWuN9yxDGu7UJ6SKCQAAArFBmkU8IZMphBT//taMsATn8Py2/gE0Bw2zL0BmW3gOV6zWP+T5w0Ue+PIYOKfZyBu+GtVbGYgch96x0PlCrJ+OgcsgfxAnVHmoqcDZhoC8FKa73nXGrQf/gq0cCfwUtZgVFYRvVUHqWitw8qn92hN+8pvOM+y6iQaJ97j0mlyM1KCugUM3FROvLOPtDFtxffNn/wJ2v7h9MQJv4LdVu48yrs+scVITGzvBKamu4/TxkY9RCD4vaytaeAaITIY3njdO3kiGSxaqrNgfkv4jN3xL2s7OrXcFe+8dWEXCTCvzUvZ+8uI+1pGYPTnyPhp5oCnOg8PlHTQ7QnYY6EyGNWyg439JxLZLbDhiCagTL5/3nt07sQUWP9sbxpO67ZgohYH5cTLtJakvSW2jPdPV+FwAA3YlLesHyRPxV3O1h3skz+7Y+Kz204+gbR/bvZC2/05Xo61j2Z8L30BIlHQlf/pX9Zyo1Dw7mRRK+fbkeSRgpF+hb1fza67CqcGHCwhiPFt6dagOjlnmSZVR45czOrxYt2C/btodhy+OfBXIHn+wJmmHB1kgOrSNYsOb69r4lWhvL2p8zsErip4fAPy801bxVPRSkjP6clOv4ugHy4W2XZQhBFc49GJ591SM/Y504zfxWPyhTidVWeWssX8icGpeVQwQuijvDu2j251NLfATNjjYGCEHj4lbWeqpk4AkS+HUvbjxVWxDf4gSDob09RtKdJkYYvd/GY0knCfOx1lN6pfna8GOsIkf/STJmYopv/+E88cSvBZqvCU5m69Ju/HWcSPjWbM+/DXQpUBLzyqG5RfQyHZycGtWIDw2CpSrLSHih1vas2tKecKvutFy1vZsEx9b8NmKHN2+anE4sxGxEhnvnqBLbriZTDZjFkJTfcxmb/6nWcNHVax5ePzLuAIS8AAAAaJBnmRqII//AAcSRFLNSEQRsO/dql5DFIrEPA6hnjqvQMvhD2Z3gKHQvOsIEIt8Mi7o/qR1uX5SWAEXymrIzTBOMTnoxvSIM4SvL5oeycxiOOze4b9T/8zQxmqGH284wrKCAl8O0h4X/ugLqo0rTN0qY3oSufzCcOdPmGTlvT7iZSGrRZoX8yFQfhIMXAZFv25cwtdqJMZj4APuvoVDC6MoLklBnucs7EuG7Zt7r4JfyHBSVbaF86aZQmXpZu4aTQV7SpBJyGU6LhE78ACl8q1ngnK0fyguBtxZuUOVmHIaLkaDfzSRj3DqP8KHxRjPqEfQAhmQ112tf0rjHGRwMfTH+YRQxiafBg1B81ki2vVSg9IlUn9Dfn7LKJNfYqf/+eBOq98oKPvUw5QSAInngIr0RjQ75Ki78DnrhyCPE34VUkKg/lMTpFB/wo8kDfUMFx/aesIqSnFtahYXWqaBYHtyocWQeekKJC4nMvrBTrjeTIdXAv6zSJECRHXm7klxtNpcHxnpXYmLcGgQXd5g0iT0/IPsKzcdFCch48TUZeOWYMKBAAABFgGeg2kQR/8ADHuTCM6zr1RiMgue66h03W6Q5N/028JzwtQQAXb/p2rFPbB0kQTVkOFv2D3Ji2hqoHmRqHWyq0LXN9S9D3o7JcXqqGzJAu5ld+vwYOjwf+YHsZV4CF3qd1o3A50Ym+lNYceu+uiSP2l0lOJvOSR5wBf9Qiy83AI09gj1CxEzsUdeEhVygeN/jjFimsoZ2DCZrQU0tXDgNlWIudIK9002ETw8ltnIXDVnAVVeHSNQh9PpCf47HXof+k/ihwcJppSArlv9Sqn0FzMa6hu9b7pGOoikeypjmIP6/TQyuOLor3WamaOYtrAoa+tk3XprgkdkSjGXdNf4VU2vaJf+4nqBgDwc7NHg2YXiWrmqfSKbAAACc0Gah0moQWiZTBRE8FP//taMsADP0/U1/cAAZ6ZTXpMYPThqOWrj58uwaVIbqIFcojt1S3Hdm/70r+pN1Gxu63BWRMJOz3/2Y/xE4QDP7KyVdw+gtyNSOeaP/5CJuI+mG8o1JLIHnuzckNgDiQgRmfp68ZFmow0vbTMFUFR9WNAcxdUHnVH48+SZwG+qw4Dc+wsV/zULKgiTmd3s4Twm65ZQrZfb4/jlpsEFrTW4X4GbpfZXj4YKBNMCsSCzWo3/e+TsVp6IobuJucAlS0Pgbr2SETAApO74pPK6b5gYHtLJaUfEVVzvkUoNY45yfQmOwDXLQpEbbbYE5k+852tXln6ZLGMRlJ4PJP9fG+g/vgF7YIgqb3o+pachQaRnQWkkDwhCYmzxB+nEO/Bh7ovTirOiR1TAS7+mWod5vXk5476f/cmpKmFkntipMwKkd1jVLIuHwNBtcG71kDcPbrPglZcd3/jeSU9fonLyhU8wvDWtkvzgtykD7g7TbIxOQpQo74tLjlNi11WerFgQJMX5M8tJd97Emk4XeBcgPXIOfekjDR2peLiGF4Djih2R4O5rN7Zw6AyiLCTSUDRNXGq2NvlPkE8+JS2UoxSNOHOsj9ArMrZCPoQobU69qgQvVscBc2AoCGoPGhmAeiLjMUMP8gqJyMHTXnopsxCMQJYrKSYdrDA2mknqXh9J83AGFZHD+GDz6JhoLg0SqsFR2a21DhZfZ3bV5tUAw5kvX5rfnh/R7qo3KAYGFpUs+1v/RBDZsBRW80iwlKslebKbJ+dQyJ2xpnkHAFiu7Xuio3AXkXJCAydxoafYgyzT8dPODm2YN0+rQwAAAYABnqZqQR8ABv46i1G+fGJe7t1aODw82EaIsCTk2rTeAvepbIDB+wZ4PMjh0XrUPVADIikWGL9uRvm2uNPpNSp/P/tFlmHZk4DuJ6aaoDxLycFfG49HiMlX+oABDRuYJ5naOkGuoL3Lwz3fsJbHpEmK6T/+bo/PadeameSfz29MSG1pkg8mpt4LaRHoiyBKZaEe9Zc6MEKz5ubZz+Oc9GnSoLHUMVZlqWsE1iR4qrpeLWxKFRz1QNNv0j3kOVwyYPWpPWSOt+/Lk8rqDYApVQMk35syxWKPGQ136ILK5mhybEHRMm5/Sc/JUtR8GG8F/PFnBYcU7SBTtOZ0U09mIaS6ua5s5Y0RGa/a7acTNK4KBXje7yCv3xMTosibqRI/qplS8fPraC/TxkiaKLDSvZ66P4L6+qi7nv4w5psVNst5spIChyA229iq14Bd3BYaANUZIBGdxD1/O1E2Zt/rS0JiDls0sfSR3R3z0BS/w08yPrecArtGC4XKvKYjVNffDzkAAALSQZqpSeEKUmUwUsFP/taMsADUc1O+cXylnpmRs/B1boAJd9cf/HTZNuuoCZQ8LpEX1kflM/+R4AARF24Iqy387h3BK2DVSdf7kYfMIAf3O+CZuYeEgEl97fTANqcfYnQcGnKz8reNLGg+gRSLE+4xDJ+Lw5C/G/pK5giZWB6Jzfifj4yI8F6zW00we0GcHYxGFdtS7fFn5f5aH4/7NNdZa5+FhFx54d3WbCxOUePwFXIu7y0FPBFOBsBILlm4Jrt242cM39azTNRKU9Iclyk3yYyCfStUG42SztCikm3Jsoz9Z+yYYOnxJDx4gXQrF+WUsPho2eOpAriQKMvAKWG8/HmQzLreU062C7woBMt9pryyx22I7GWQM7RUaJrWXNpdKnMWRyveLoCuK9QmhtHX/KFwKqyhjeIMAe9ptD9b5B27Azv70PHvY0jMdbwpn9cAWSPzFyxWnVR4RgjkL/JvuurgcLQ02qv0LGWWhNSiKYyaixeluLydSY53vw9Wiay20Ytx8S4LnSXSGjflWwU0nA2V9RNk5d9Rs3pN8eEVO4pClYO2KDNp7H8EmotbaivEIjy153JZwFi7vFgJZ0C51YyfmHes/lJ+80pkxYuEv5b1Mv+hmyo+LIpCPfPNm+E3rFOb0W8SJMtq5YSCr7RTxnpKoVOJF/oiCZdyYVR9AEgfqqgV7JFKmBoKmplUFhuzWKGi/nrLZJLBlqIXh1pyt63oD19YqRhktvxAM4NKyBOqCkEWUtlaVaouYXFJjouuo1NVA1kDoDDY1afzyFQ+uov6FG9+MUkNdrd6M+gtYrD09s6YFCLjmyexMU+DmLp1HFM4TDz6dcLCflb1uftpo2CWtnHJZSzlfs9w2b01zoKQk4XfYWGop665cQqqgNsSH/9Z3KcecskuVYEyp6IjvRYqRu45gP52hvc8lGzlI+8SiTZkyeHOwA11ySCEXC4OTcAAAAJ1AZ7IakEfAAcQExTPYNav+Icz4ABL2Ydigg+vMksC4FsiszvtaZ/crw1z7g+vbLw0FE6zCK7yoCwLMRv6u2rjzc0qQN3fgvef+CBdHry/qne6WJZP+KZWx7e2pSekcjH5/qO65muWyElv3qrIJ6TpXQRuxkoosqve7EXf8tscDJ/Kw9gDyMBddlOYsXtga6gCPJz8J+KvOt4Wj4dTHktCObdcqIN26xKidagrPD+YYVE5cKFoekzHMb4+Avr1moxqQbLSGgRU77xYzXQwhK/jJSj2XsexmvORzEw5qJF4uC/X/1968Q0ZccZSjuNNhud5nvuBQPIdo/+c720nyLEvbWXaqvH9qegnXD+vr69GlCwJFrLqkmUFcWKnNHQjBmD910XF331SjdfOVhhbR9cneixrfSOUYuZ3TAyEVclMYrTc8LXXQIS089xYNZY3989PENGdWYe9U62ACL2cKatpGW2y3Xe4f9LDHmp6hWiLyE9uzXdmwudCGdfiJtbskGWbj3qS/fZ7VP/XKgDBNonIDk+GwjuibiW1uOKN1qmA1ekUCMd/97/P2zjFWDxQHutW3Hj0JNrLWD+MGImW9hKBaQoQU2Vo2UgOE0sSLZHn1yOsrmEX82bST3nKCA2ARCP0mG+qfMWQ1jAApHqLvGdJXFy7C7cN561vqJCMTIhIn6YWwDqTOu7iPbAYYXL/sm3j73nL7ox2/4zbV7293LFP/tg2WsTAj4oCVjCPQ5nB/CsY2nbCFApAqfDRQJLzsYhrYALGIQ4PPG+F+tFSe/+nz30bpbMQ9qb3i9AxOJvlPund5bmmm0zcl8etyCPdqiRuQHobPSQAAAHZQZrLSeEOiZTBRMFP/taMsADVfNUUiWxPffMkXW9XLzFteHldx+2AANDR6qjHp9H+PbRoIZF/l7mQpf7aPrvUSSHK8wU/dvgnoeAX/j1S9tkNtrbM1K4PuWn6rgHMYb1uq9cRsgaYnCd1InlnJDNdMdX6vL8sT3x7urmVuHTgjo///8QU5Gh6zz1MqEVVbSmU6toHvVOyiSvdGndjUHJ3HE69/mOoVSSw6+p+uvzen3rOYYncl67u+YYvrj19dDeHYuqpYi/vN+1V1H/2a28076jwWLfDCyh6vmiGRaym9KFdvNYLrE9jIMO1V1iTJqB9dGhj4I1r96/NIcXwqOx34c78OydaCwmne65eEIa5faDUrdJRQK76CgIFEKIeHdIbm+UHgy7alkgSO710Xd4R0n5ZCfHyAfZGiNWIf9onOt7q59kj5n5RuERCqkmvwj64jOsofFs8D560Lu7nAGhJejy0C7Ru7V7jXrwwKeqSC4il01azO0IHt//Y4F32Sy3kKhhBbFtbTVX3LowoVL8NO3gv2MS03+yuWNi5y1OVTAIVibMJRF0bDCGkIiRx80q0aEd5CzlDTxfQEQj/VEk1Scxq3An07rIcaHgeYGd7B8LKRSJ1QarCSdEAAAKVAZ7qakEfAAcQExTPYNav+Icz4ABL2Ydigg+vMksC4FsiszvtaZ/crw1z7g+vbLw0FE6zCK7yoCwLMRv6u2rjzc0qQN3SsPTWv89ThlnlWq4IZsNEpNlvuPBleKkV11d4NTfAKnZ6RCYK2v/36mhO8/ywG0YTEI1hU9t4qHX/QqPXKrE5hImYtPSeIL4zKaXKsbLg3vjDI9H9PPOrkFAtKubdHNsSRPnSfQdUBQPw9HepLwRuElI3NEZ9eYgre3oDTamBShTbByaN2unTFEXRIio32XGSjdCHS9ykzRKmc+jRbuoJ//H1krG8AqPo8rF/hC/YPP+hahKIs0Z6IsDdxRr8F7IA6vl/QUHKJbRopzFnwxUS3eyf0eHQBUpAYDe0C1Y1+3RAUDs2hoCwbd4jpB00lTwxk87vUIl7J0hPlneJVLhPTrcl/WnGbpvIFrMceJ/VBOIqzQozTSeloiivZHaCQR2k+R2XdfeN6rilEIppaYm8VfFwPvKGNco+OzogTlAyp/5AmxYTEsvzBaf/SIssM44FHTpI9DSyAMqQC9QUMMZverQrUqiuHBgR91b1FjBpK9LMkhB+E8bAii7rA7RJIfS4RXiE3H8tRug3ETbb/uWWAV16KeaO6v/6VLl/ezztF/uBCR2atY1lasAmkUgBGGYDIAxp6KcqEytBYU0aHqiHmX6R8vX2drcY2YLIT6Qk4rxUTJbPQ3M6MdZrvcENY0ixxu2K0r2ui0nlijnUFcUBrAwY7SHDFL6vGJkwiIu1W3y/rorJhA8f6AouKLwJzUWk+88YuMXH5o3KpPRm+ot5UF3CkIMQdSWJHfNlRupPLJ4Ewi8jWrzTJ9/o80IBi93HGNGGMxuuwCU7JswehCkQsAAAAY5Bmu1J4Q8mUwU8FP/+1oywANB81h4llTeCEfpqIVArFnMgngVB5Zmn9t/zp+ZcMkbPGO1rwM45vOAz+dzhUpAj4IvqNXDuRu4f3/+qgD6VGlUyToisUjozofAg3n1HH1NUj+p8g2ZNiA7tHfKCuWmYP8uRCwbeXz3SFenNJiIXz3oI3i9D0ycLQm/Vgf6xLFlDxphnebDLXmUn/SF8yr7GLjUl7/NJpxJxhydOjkMaKEbth8RhCvDZn30yx4rgM6Hd7DZ8luBMBBFjCImhdboHaKX9eRxJQRQYGQqi797bDGkUKv7pAGhPZlZEr1zIOztblP212dyNXFmRTgI0OCER+0dcULenp037MPHBUUfV01LKMOBevMQrpK10h98r70DsSsd1hyMnY+bHOD8cRzFh21z9H8Mvwj5n7XHGks6Qu0rYqxySzpppcBjYsEb+FjV/CU4jsnZoOgRNP4M2XOpjHyrF0oAD++Hr0YRGtv+okvFW9Hvn7L/puN9ChpDOdzC6L+renV9nSCDs5YfsoAAAAn8BnwxqQR8ABxATFM9g1q/4hzPgAEvZh2KCD68ySwLgWyKzO+1pn9yvDXPuD69svDQUTrMIrvKgLAsxG/q7auPNzSpA3dKxAaHRp+KamtRWDn9TfJmaMpIes/+SIi0F9znMyGJiU74pIPLmZjIbxQNGEzsrOKtEwPJsNmRpsrVs7n1HD8fdzrVyy0G5gnVhW1pJ3oz1YQBRkyQCY/ZQ7JJRSSqMbCc3HgGToTSLoE8xFyyIBczR8Iaco2u3FsShCUheuoO2mOmGpR2vRcFPk5jxtiZzD9IzqoStDycFURlD+ZUxhJCpLMv5Kw3jHHOYAstWgA+8TC9W+2WuKwRiFfSO6NLXZ7JDALfTTZ41zMiORxQARxr42Bq8FWNIwaIcf35mIw0wzBL269rmxEPWcItYCwdQsW7s4iTHDeh7amC7T4GnlQmYxmj7kkxMegtdW3M8P4RAK1CXzY8Vp+4YCVKQQdy2W0RfedpqNrS3ogWQuGZV1goK8KmPnHhlVBLuLxQKn/kV51HepbJRiwJKIUscfB0etAZ+r5TH1wg7cwzljeag707+G1y/7KD8BG+FTdeKgYo8htdUaIAgIrEqCZJddcdip+4chCt29Cm463RTFZLwwZ76N0tlhhHDShPLe+5VotIlD0w2CBUeHlI6Hwqv0k5cHoIKgSvq8TzsExct6fP20DIGCBi/yB5oNCDrxJM7wzw1g3HEw20ne3ONTe5xCHemojh/CsWNFHWKmUU4S8S9YWs1g0EHlyG5CtXuZF+L0RPRP7VFXxPtpTuM+gEDswbMsQKBanDu8s3eWppSPnfBUNcslODfql7H3jRT1qgESypGXRW7YArINviQdMEAAAIHQZsPSeEPJlMFPBT//taMsAAMBue3iyehjy6CNT4ISFFnQCyO2SoAMl4KSt9bpJxezOtTqP/3mWZMcQe9lPUaEMVdBFte+USqmDJB+jAhbZ+/AneYRx0/9fdc4yEko7cesjtwlnIPGT0L1Ul5cVP/0qftpAhmW05WSJJ0j0nzOaQkI3QLfq2dHmPB8jEhI/6BKOLuXmLRVfFT44qOx3s764grGfEYFrrLIj4ngkciXvIopt0OlIG1ZxPnDUGHRKNgx7eJzr6RmMQ9qZq5JiyuQYNRKptgVSWlKmPazc2jjyPExHhQGFlOOvkjyS1Y65ScEzN55jF3K/C5tnAPxno7L3UVKLmwnj/QHPYxbOm898yoBt9rBYyNAtmO8Hjdu0hjkD7jWvw2C08Z3cSysILGm5oEn9DODiuqgXOTLnNbMfQ54ME2ghUSHe5zeoJYT/BlgaLMKCKrnUiKuGyMYhU6Y1OmMKmbPzLnxPyWA8OZUSBfjpoOkdv8IZ+fd+9yVjB2Yb8tJQqLcGYvjuHOutG6no3BgBnDA62Wi53ZNews0/1WB0vHn8aPk9ggRfFr41F7ALjsJAIjydgOo8GAXsBRTgHiqav45ykpG3W/1jCzJ4lhrVwaGbY00Ip+d9wFU1YMt38BAezCG3++aklqFmQZZjNvh7PNGo+2N6SbNPIsURH7JGURkRznAAACUwGfLmpBHwAHAqL/HVodAAITAxcVI595uVxPOghta9QBVRmSCQAfgs3KN3X+B5Szfa4BqOUQg9CQLDgUtpm0Hz66a1LM2O/ZcvSl0yA9NgOuLUVCj+W2wmhGj8FoB+sFB5Y6Cb41we19niuFxn3Y76A2kFdi05htdm2Sz2a5a1T56t3QE0QvSolL0kM1xZMe03Va3618eGuzUKfKrTAqdT2lK5jM+fff7++6IduHZP/HSHy3dG9e6itSi0PwhgUiZmM+2poIdha9NF4bey/4Rp/vn+7QEswEexLT3hOe6keY9l+LBIF+sGrXy7YUAvKreDGibMfz3J0TJSPkdoXp5PtkG8qEtLpbW+BtzM3co/16KZvzwmXIlY/Tcsh9UqtZXB4YZstIgHloy/pUUrKrMZhTN4JKWLTYCObZHYfu1Rc6czj+uNPDteCkM+6jlzL8Dj8oupJofjIjW6bsWKr9qrH8VakKihNsrfk7bmGNQH4NQxacm27OZCIsRste+q8OOUif8SMAJvtrRANW7GJwVuDp5HO6+FQz+gWUdqb8cfHusUyLI1pM0Tsv+Fg19IaEKSSnCTh6rRUilT1xFauct7YLiWXquVwtGPv7+TmWcsr3hr+TAmn9rOmj1PZaMLMe6TE7FGgXo58e6sk1rHz+vSMNbioRWwo4dZKIf0DShiseTrN4i8E0EQxNB/uW2OLDVBK9RKJ4WVvevjxWKCqZ1/kHPqGGOlwrdFm2WWeVs0z1UgwovhqoBGj2ltU0geZvSbdd/SmJ5RNnN07OVoU+Wm+TJIEAAAH/QZsxSeEPJlMFPBX//talUAAKUYr2hE+PblozplU8/tLmPQlh6sigXZ2o/f/keCnDMtrOxc5N5GuFmbf0qJ1W1S1tn8+hPtqKZXURVI5bumq9gf/17vkl2zn7FQ/SC4Llb7G5FpJtN+0M7HaYGZwMJxulFlE/t830SUhgVGXwCxgev5+b4q/iZFkj/g+y7+2yDCc4iLy1sV/hutDcEVvI0Weooq4PDMLQ18ytKcFluSiUtUzJ3b3nbw5P4cR6aW+NBDhjF49wyyyl4pa5tGo46q+gZjck+vQKSMYRG94L7dt3VguEMJRfl7YbdDmWAi8gNhwX8iel0S3iTbdZCN107k0XIbtE2Dhduqud4IGmKBwoMMavSpGEKPhUjwdC1JZz8WaXFy0dcjr2IJg5mAbmHOvpJuZZGfMzGdqv4eF7StYIGD7ta9VvhwXhINirj3ExC9MTl7YfwVMBVtFe2LOgNotYQw1VxZR51ACNgkNpPTIjjN18PkxWS21mGs3EF4s0dvEA8iapLQw+N1KdA4Cij204AAeOt0YanU8BMqW8zDSaWDbBsljTotvp8/nLz6QUnEeDIBTH6eMKnoRLqQCLpfvq9UhBAgEAKlQc9oEqKnKErCav03e6q1N7p2XLkrStbW4mQVZ6QeX+xFlMoxiepmwlAN1x1cm59DGzAhJDnAAAAvIBn1BqQR8ABwKi/x1aHQACEwMXFSOfeblcTzoIbWvUAVUZkgkAH4LNyjd1/geUs32uAajlEIPQkCw4FLaZtB8+umtSzNjv2XL0pdMgPTYDri1FQo/lt2LQjR+C0A/WCg8sdBN8a4Pa+zxXC4z7sd9AbSCuxacw2uzbJZ7Nctap89W7oCaIXpUSl6SGa4smPabr5Nce9Lk/ufsv66EdhZISlub9ZAz7xM0jVcB+e20iDXo2uhqoD5+bF1/EHgelGch/VT3HrCK+MMZNqMZArHdLBBgg+7U6166CMTkHc4knee8yc18ML+zQOgx3LSkbXvCH/rXOM6Kvjmr8CVc0i96Amxk6NWrFcWzX5T6vX+i7LvgWtpcq/WIlXkvA4b09FeYPMGCS9D0Ljd2WnxAevANmGTRa6EK3YMs9IFrUozoKVQRh/3CpDaSe8SxLVG8tC6MMVLwTTDlZvArK3v1EscqnDtVHUbzaTL5ZwIguuTlcDVVdqJUvyTojVhI+37tYMCeUVmO/RfJzFnDiqVwWwfznbfqJK8Y+SgZXZl6mgAmza7TKOScRD5E+U2XAHQKN15B4JJZKnO04997AaY6pmF1EAGwmf6TZHaHsV3uN74HIdxyvUmRnxt4VgDPYFh6Bxy6Tx1gRS+tG+NHCOfVFT5R1MuO1ZT+IvlmEHAA7MqIWF5dreXkNRN/XawzZb6rqVHAver729VlkdstlSOWfO+Vb27VCX6Sz43B4nLfWgqqTRMJX39u9HxdFyoT1JmW1cg0M+UPRK+ailO/OWz4P+VxKEQeKpvpxSTZgtmzkoRLAdizK5x8ewAmkcH7xpS0scWLTWGa38idw4pZUgev/J/oO0y4jUeGnybnENYJe7SiJN23Xl2Mt2EVkQ56PMF9dRM2EKH7yHMC6gC7B55iCPuBLMgd4xWurl3Dv91twJH2n4Bz28P2phYvR4BklC2ZNAqD40H0jgBAV6UJok0lcVKphaNFYqgvNOOt+CF/vu5Pvfo4IAAABpEGbU0nhDyZTBTwV//7WpVAAFKMIRN6K8hf3B2h//zJdKgBEFSW4QC+U0pZtn0L7pSZquJgONu2XRdDJtX9UoPVM4Ikg1hmM8f50IU+ZwhDpCZkhPvNeVg7v3vFGLNenhuzVpkY0PeTlvuaKBrkxuH9OmlEQvLmzN9n/R22qJeYmvPSie/84gGLhSvR4+dO+QAjqL3lodqRQmdSIbKN/mJ1L4iIpjXmM1zPmYMtuQBHJnDCt9yQAFfbJK1ANWLvf6y1lFKYo8/g24VUeVoYCNkwA/hSQweT+bPqMnjBNqFyIeVEYtgo9PFjXvO9GlpW9yu3SFRfG7zNX1RY2yWqDKoZtyzTyhZgTDf6pHbS5wW/75odp/+zTuZjMIJ362sNMmWJfTrptbB87rzD5KozqBDUfTfvNEhoAM9jw0kglWBpZ1NFKp3rpZ6RBHEtjw1MflSwW6qjzueReUf7R3PXRouAc51tthmoUdKo4bt2el44Jj4ZrPYp0yypJCb6wB/NofPaCC8302asUE5GITLSNZ3DgEk23xJRfFUNRnWHQxd6txTWiQQAAAoIBn3JqQR8ABxATFM9g1q/4hzPgAEvZh2KCD68ySwLgWyKzO+1pn9yvDXPuD69svDQUTrMIrvKgLAsxG/q7auPNzSpA3aNja51OId8sQho6X/kiLmPbXvBt3k9pI2Ss5CdeHPCX6HtjVTgBCHDQiN/FSCAdHTAElrZVly8f9Oi9cKSu+Sw0kaP0RuzF7kbQgAdxd5/SpLhT1oMq1bTLFgjUalTyzM/vhPIiYDT3Uvz+nALD4+sYhXH117q21flvlUzXaP/pStT9ENBWrBoMsLevpqUQL9LCGqXsTnYOlwNUkHdG329MKknhbFI/cgNn+OoxbXBjj+bIqi1CxYETJh07swT9FDIveuegiIfwwZOwAIsmETZTm5xTbSE0Sc2AYMLcfcfvoeVeMlSG31u01REWKM8Ghs6bInAoqM8TO7MOFajSkSpTSAjw6/bilBSxxoJGNt+vXUfAUTlrPHILI6OhpNvjfYAVSC/6VHyhVwktAJ/OnhxUs4JFmmK/8S1vXVKaZR3vZlJaZWPFd9qdlquWhvUaA5cOvHqepGpZRBbT+T/QMIisZu42SncDsRhhzhD8KB3EE4e7Id1RbRMumSVKjQCOZyJNzflopicOdboz4hNSQ1E4nmj4EPIemyRwDHDijVvbnkZ37mABNCqLY5FQUEcMx5vqYOow0Ym1tbNWOngYj8LYtJGnsFNI8Lo6QzDxavtmCKPPfKzoQmqPrrO9gdeFxsB2DsGKpPOj17NV62G2Y2v2EPrPDFxv08SDT8sEwnLNOmo5T/vKqM/0UrB7L44s3EaXq7HWlZGtyY1qDlO97KoF5aOYDHc+H3kvA8qDZ7cja7vKpJcd4YgAKxLK0gQAAAFJQZt1SeEPJlMFPBX//talUAAUI3DKr7DWX7sB8yKIBoANpaQjlyUAZIX2RszKRQf6YwKbyb/9+BY4vrYPf2OylnPtfLadUaT7mMKXQg7ryX3Pd89OINey7NRedAj6xBzG/T8beU8EJDLSMacOoc49Enzi8OHwmif4JpTRc1hBvfTxPpadEO34ACD76VQ4w05+RSiT6uqDZgvjS0RnSfT4uNosbGm+0VwtPDsBt31LZu+ZOR51eCxjoyx1lSsDvXqoI1k//oHliivxKeWKEnhkgL4SxvGWGyT/uF449tbH3pzy2ETG3M41Y1K2ASZ1oT1CireyZ7u6Mg5b5hfr3E5QmpIlmydI4z0qoGzlcM8QxEaXYZrbVT1BT3fNCdHT7sDBwemd+8T+wLzXYhGq/TLXZjd7S2Nrj8/MMa+aqoYXHV/6q0LWJc2eM2AAAAJYAZ+UakEfAAcCov8dWh0AAhMDFxUjn3m5XE86CG1r1AFVGZIJAB+Czco3df4HlLN9rgGo5RCD0JAsOBS2mbQfPrprUszY79ly9KXTID02A64tRUKP5bbCaEaPwWgH6wUHljoJvjXB7X2eK4XGfdjvoDaQV2LTmG12bZLPZrlrVPnq3dATRC9KiUvSQzXFkx7Tdd55xVJr/onu2gi6yh2/qebCqTunbEa5Jgyx3fAWyEd22G9w7X8ExGTCWnWfy+988MQY+LQwflTWCi8tr5NHTfsngjIhYNW79cqSnuKvXeqm6UkfzGtJrh8F0ubhxTALcoj/AVoH9QKcnFZy9v8eAjqYzzJ9PGij6Om+/qXFGTisq4xfBF0O1YfqZUp1QRZeOyYRukjAE2zd7/asNIkEXmStB0ZkGa5jideE90jkmF9/m6rTsT0qjqiAMFnWcOcwGZWVfDS1r8VjQNxvW+UsGr2z65QxT2B+ZKQuO5j0CunOHBS3bKvk7rDJeicX1zAnYA8bC4gXQ8/2GmLF2ZmIrpp7aZzcFEjl6degm7YI9jlgq7Ykk7JNjs996mj78pmGUHxLuqqnZOHkdnZvVqX+KlhAZwW/3Bytfs5joX6dyDTokPiifRgZpRtbF0wymBTTVqaeM6i+EG8a73TKtrdkLfUAqIogmuCTj56xv3muVv90NJIQtbH0fC6LdA+Jn8UXQE2WiOQY2Uy3ycMRlMpiO62oDuA+A5LnBI67CV69hwD6Yl6GjLEs+jnPCXWpIXoDF9h2Uni7AV5bu90XxyCxOatbfVEJXH25AAAA50Gbl0nhDyZTBTwV//7WpVAAFC19//h58AAIgMmjQppBuFqTFyQWTXi22U0jxq+ZDfK8pTniYEIG0D1IvFJ3TTXYpMhJ7+kd1JGaaLId//gFaODRohMrGjpa2pSyj/QkdciyIUMHcLZzzdGJDBiJpUr0Nty2Pup9L0frAYGa2fSwKY177XSf/Nwtq1vioXlGZw8YDPl1wE20pJrM2V8XrrNsVIYlB27S2o6TrtITNSGKlUHZ00uaFugqHin9heQUCIQ+KWQlmTHxK8nKgxA8boNa88mjNNq+C4Z44oSGZr2JBRFQVnBv0AAAAegBn7ZqQR8ABxATFM9g1q/4hzPgAEvZh2KCD68ySwLgWyKzO+1pn9yvDXPuD69svDQUTrMIrvKgLAsxG/q7auPNzSpA3aNja51OId8sQho6X/kiLmPbYB3/4BXmZ7odbSRJesnPIt+sC9FjTlFsri8Vnm7uQbjyLVHYHz+WvwjNnqhbUd4mj3AR1WsZIglY6EvU7b2Fggl1925QXK36AKyjINnd9mapiJZHQTTCOWi/bbWDFANq7sihGJZg02K4WgNW5Wtr6eNB0gnd7lBC4cn/yZUKtjw9gT3v0c6yN6yROJMsn6nRc0UG43xFVrmHApXSrbCsoxBM6tgVbNqXFAv7Pt5CfqJR3MICjyCbPTr5n5kHyT56D8xmszYbr2PWiXQcWeuXvdsWZWbysrryiL7+4wYcoUOH7BAd+Iv7+oegGYLb4IHc/n7O9c45pWpdniNemx2cbS6sHZd8xrMWAcz19uMzPo4DfD5sLEePU7RalZZLDhYCYY7LPwVSx8NXNn/IoBzBXxRPrN58aE4SOwJkgoJ3amnjOorkdXFUSXGc3S0+Fwb1EUQTXDofijK/7zXK3/cX/NBgC+bS80U8E81zXsBOrqlvuBReCbTRWU5Knm/xoeCA7Fw3KE9nCQeABvkM/XvEOtJsqQAAATNBm7tJ4Q8mUwIK//7WpVAAKp9bQe8BAhEJLr2/IjspxALSdVhSkOvIvjkuapf/0VOUJDTrMeuHkhipU/ip/+I7RklV114LEqU9TKzEH/Hq6rs6ocvqroqx2RIquu1DEtrKDW2I9i1TwHsLsJdsimAUVN22heMeylaxLL6lxEFXs378PAA9/Phy+eNWZ7RQKbVcIaWEIaknPI56R+rhIh4zkIGd98grICbXmmknByOJUr2mtnQ4WhOfmN0riHretu1XZU5hQZ5t0Yd9sv5k7l5tdU6//Tds5CjVolZ6njF0JdI9cgCoyf/Nsrgq5X9sH10qKYAtfzUIucosYdZdlGGgMUptpm8yEfXT0wQcBVFZhEirD04z7LzH8l9Cct7kH2biEPVbjuVqvHggPB3BWyyb8UqBAAAAyUGf2UURPBL/AAEaWSgbClxbZ09+2C5eyOjz7o5QE5oAHZuOSCj1t3joFMYKfH/GFdGV9vMkoZWGcmraKRL3JEe7GZJS64X3aAX2WvZCFk3KxbuuHh/E5eoT/8i5tUnqC9CXOr2qdKvEK7wPfejuV437dbedtgtNGp8ymaCnusc2VF224yRkneCooQn/r9DwjT0oR3ETJSlhAuAPKRM3erRMtF8rpVYMrhUOJm1TQzq3194HW+Pdka0mpLj9uR5gy3WGiP9gU+6LgAAAAloBn/h0QR8ABwKi/x1aHQACEwMXFSOfeblcTzoIbWvUAVUZkgkAH4LNyjd1/geUs32uAajlEIPQkCw4FLaZtB8+umtSzNjv2XL0pdMgPTYDri1EdU2NQo4P5l/K2A2pIfXd1p67Rg2+4jfOsd9AbSCul/sFj+t8lns1y14QVzqkTaRC9KiUvSQzXFkx7TdeNwOhQaPt9wOoKEiH0WtyG0PbYZqLx9TvqxIDj0VFkf/Fa7QJV1EXmhgDaYv5BpIBg2U4tNOXuWUbrc6Q/pjN+HDJkjN6a0DQjXwQEn0U6k3SWq7SD16B6hQ2GE3c/89hdfrQnB26phS2QoQltlBur9OFZ4ZmbqMG4lDt0QM5zEjMBwShUdCck7OUsRmj0U/9LscyhFQ8VxLzlNPk4RnoqSUcYW9EM2uwG7rt5VWq+SBKfHLo0ZQL2GXI5jXwQ+kNOD25KtoF47YrSiJQ8/Gdyup23hMLPu3gz3rJdJwNWapM34Gy5R9q6/bkjIJ34eNqkfHuUPZTsUzuf+avIbTUa0XNzkrW53GYa6qDv/Z13L609NbQz3hPTFoRYJI2WSteEtxjznO1hEpY+MHb7CAAe3dm/0jkkfceQyoMu5rk7otVMf6pAH9LYKNsTicaiKQTSzlScaPQje7+2t2hhZobtIktmTvhiii3Ay1UYPPLNxWCxDft6fu9WcLzCszO+9pzGdpQJFYiSkHq6txurMDp3JWwVAm/ea5W/x2TknYYlW6xEjpwS8ME97yyaS6VY3p2Ro5J+/bqTw4nYuG/pfBjJK4HJy1/XW8Q60prYQAAAgEBn/pqQR8ABwKi/x1aHQACEwMXFSOfeblcTzoIbWvUAVUZkgkAH4LNyjd1/geUs32uAajlEIPQkCw4FLaZtB8+umtSzNjv2XL0pdMgPTYDri1EabOP/F84ipiSA3o4JuEqn/rBRw93gEu6WT1YR72xnOVtPrt6ibGd6TbL6TmYD9lceulcYsOtc/DBjdOT6+ByalN1JrIsyiXJaG4/xVwdEEZkzSlhf2AX8oY9xkJpvt9RdIkjOp+1gvH7QbaDblyv69k2XBIERDr3/bT4JfUgBKoNotDUdvhR+BW8Z7s5Vv3e8tUbo9kWTqCzBbV/6SPEgAVxPySoHLE84J5mi6FzqAxVQLOx5Xh9zrldA6eEDICmweLe1ADcJbuwbdK+azdZrk5poYQIP5VLzII6KwKYYansoA6jOnfgH16ZwD566TofelzMwSz27NG/RctjdfXEP0YIDwHy8zPqlSWUxp/n0suxlm0zhCiQPJEwUzbuMZe59lX/GDv0B9WZHfsDWUmwYWCFJqn/aNoPHBUMGSZW8szZ9LjpydiCam3SuFe8mOBg/Joe8R3yH3DbcnSrVWGj2hgBcXzKWXmzn6Vj369PqzMouKrmEF8s1fj5DnI1b05lYrqdDJHFuApfKV3w558o5X0bhRw4uD67wU6ut4lMFkYlrj8Ieh8e+Uj7TXb+0loAAADfQZv/SahBaJlMCCv//talUAApf1p6S3QGtgHInHzEYzc9BbTSf4ZssefusLVCMf/jCGSvZUOATsQJbcDBUcD5xp03FD/tZePJaj6gZiqQVi5//0dHgKMdOAymFm9OfTuj2Pw2IXBznX89eiocT9gZovPwCfLXetfndMtFiWEXSX5qXi6G545AhX280e2spDbjlBMBP6tJBzx7mSBG17kwP08n+CRLMT9b2fp8Q++616oxxlZP0Y3G4EFx7LiL7OklHPbwt44ck5LeGKBIniAzuY0uJ+c6ckXOnn4/whLZgQAAAFZBnh1FESwS/wABHR9ZAJrYeHqnqnVwAVKnRN26ebnHfLTgPcrrD5osNmkknf/vMbaguxOrxvvMIyfN7oWJ/lTduTm8Dapbkon0b/wAcQ4u4TYhJiwT4QAAAWABnjx0QR8ABwKi/x1aHQACEwMXFSOfeblcTzoIbWvUAVUZkgkAH4LNyjd1/geUs32uAajlEIPQkCw4FLaZtB8+umtSzNjv2XL0pdMgPTYDri1EZVeT7uAb5d3jGZ/AEREOiPzss63K6egPkwxMTC6BA3Fcsww8Gv/2GEa4D4X9muHX1JHIZciDbiBOiP+9yGTBeGG3dxWQnKOzk0FckUd1IBCT9tmOSw51C/SV6CE9eP3U+9GQutrds/H6fkD/7thDW+7YzshGpDeXhTjXLpFeMvf4g1n0AgF+Y012jDxWByLmcEW85Ip0kurdvtSN+bfVWUFcm/Msn15cK95NKbg1VhV59j5kAG4Axl/U0bx4byhNsnl4tnhbZ1IYtxLd4Pa5itxexIki9+f3Ph5ZLiuO36AzRgpZfJQu30/W6+dCedTmiuFWUbdvjgNsRAMwUN6L+9b/WBz0Ai0j7TXb+2tYAAABdAGePmpBHwAHAqL/HVodAAITAxcVI595uVxPOghta9QBVRmSCQAfgs3KN3X+B5Szfa4BqOUQg9CQLDgUtpm0Hz66a1LM2O/ZcvSl0yA9NgOuLURdbNLegBZPaStWsjvFs5DIQUBdHKy1uppCBWVNVMqpiJ96Sw/SPNiHGFtWjgD7JOGbShPlDVb7XKye38cI4DYgoY/M9LuQImldj+xJX+SkM9KpOSucI0Jd8D1ju1tID0gOHxO3gW61nx/3zFcgzGGfpb9sBLUSiF8Q8dRSXRfAob61OWfGdX0G+lEzympnOsuMZeQpjUHfToBcZakyO/YGtljACMW85ILtb3dkOVqRvzVpuAgERlP9SgyHT4eL18C25BfOklMOzxVun+TpVqrDR7QxWvaoxJs72gqeg5PnILwe1zFaIM1DvSF9TufDyi8unux0YYPvcazVhCTc0SBY5hKnMyLkQEw+q05C7Y7bUpgrWEtfz0Ao82Nkc0Wmu39vJwAAAJZBmiNJqEFsmUwIK//+1qVQABXeRf+G8+hABzbSEiwJIeIYaZMzcKV1sFPiU5l/+qhBP/hc0JLHeR9X0aSQbgqYNw3hJ1R8MLejrBKajxrCHiW3ONEQY8Sg4tONkcUbXcRpDgiE3Yz/n9aKjqfOPqUdBTS+WTKS+G8dWEuPK5khB3aTeZDwkEnBacmn06Cq7LodPPSbN6EAAABvQZ5BRRUsEv8AAR0fWPs5G6QavL4W05g8MJwAGXqTkg59RjC5ytJlNiCkybwc+j5CnHTkpnbwSJySe3N7vXWwMNGQqKPgJAd1/jbM6foNTlWwjwTdjY/+h0Whm6GKVvfdc/SEWI5DqgBnSy8Df7dAAAABJAGeYHRBHwAHEZTZGT5MKHi/gUrLaN0IxcIAAOzSWLKVI45hx2YFPWtOSvB9jdGcorZmVfROvW9pEz4ouuhggEOLXMbK9LqEHFe/n+EiRyf3nsDv/+xynF9odO/W6N+EaRjjKXZDiyA3mF88JLi+EnTmQWMKtpfo0UWwH0/liS/5M4QEU3TxTwACm/wp5ghDukheaPN0bmmyGZWz7BOIjzJS54bzEaBFhJLvukAKvJN8qpbLUii3Qwq46Z40NBOg6SBXNpwxJbfljzsBf3XoTU08Z1KQrNlSYNVYs3RIjzChKIogmuo8dZY2x+NLhEyR5cb9fXNL+EsRtKQEmn5dMO3XGG8lmKDyJpt4S4ht5lMy50XLkQz2YYboRw2FQuo4Q60qA4EAAAF6AZ5iakEfAAcCov8dWh0AAhMDFxUjn3m5XE86CG1r1AFVGZIJAB+Czco3df4HlLN9rgGo5RCD0JAsOBS2mbQfPrprUszY79ly9KXTID02A64tRF1s02+ytzM8Zudv/g/BlJ7+ijwMhTHIvYRJfvpIoA5jdskggtG+zz87sYaRJ4s1pOayDHe1UjiDoiamtrlljgCqe8AAM96PUSRP5mBjh4XVi9xfNtpv/UtvvteAy4xcp5Xu/MSRmYN1swm9In+GO0ATSu6xbIfHtkLTKJ/W480mJyeoqzO4K42Uk7e2kOj+Fj2LPwsqGgD7vCHvbwM0Uhd8dBh2jDxV/Y8mwOpoa4By7eLMOLr5Zm2PW8YIhNjdUJMolQ8mC5fnGX1atswS3OTABy/6mjePDeTv3DDXPIowix6E595h5Ghe6HQ8Qe7ZVHz+58PJ6AyMz3xO3MRYKXsZLT8fjXQmcI/U1LpWjbNsRTJtjoNSmCs4S1UB0lLe+HKR9prt/a7EAAAA+EGaZ0moQWyZTAgr//7WpVAAKnhpLvO3TQAIdY2gD0Aet1MbS7xJSr8UdDn/gIKNh6dLia72h1ILoteP8Yitrd6lOrKgdZAeCP7S8N/Zm4CUkLWNSjhn/DfRgvk2e+EKyMWf6Li/Uxhu7P98cKkSn8nTkljpvPpIa7d2TsgGhoAZRABsM1d2+LVIgVYmTDYYQCKrMKW29t/qpuuCklQhMGxrmdAya0VWXQujHXnpS8W7ZR4Qde/Ok0UJhIR+6dp+cQvUAPVeQJTfJWbHfNGlh52DCL9z+CdQXgqG382qf2i7PLq1MLA5mKQQY4C5EY9dQvyZFJ1LgUkrAAAAx0GehUUVLBL/ABT/A8KQ+Kw72xUX9vOmROTy+GkRxYnY5b72cjXehR/vh4DM4ckF4Y4w2wDpzxTeL+WmaKbP0WzqA4d3a+ks0S/ifC663OobPghQnEuWSLUD8asvqFb//oHkXgFxGD2Icg1CdbdhYodIvWnW2S/zLLwQOc8zqNbvFcHqKckAAfVB6u8ls/Moy6SKd47M1imCckjZm6EC67lAGqzpddWNfxWCkui6mDWa3DwLhThJgRzCpKB5814Pq8+U8Ecamu8AAAFpAZ6kdEEfAAcQoIjow1mX+Icz4ABL2Ydigg+vMksC4FsiszvtlR5losoD7g+vbLw0FE6zCK7ytqwLMRv6u2rjzc0qQN2gh55zC6qtktmionplcnilRtiGiJEC/8HcYYWL2lWTBqXlc4Z4rK4Fve9GPlipywAc7BtJvIabgDV4dS5jx9nev+2Fo42lP84paMnBNs3dp/ge+1uE/gUUCvaHBKZBzbXrHD1kbNGPkmCn4RP0SeSTgqgZ/UYNMy5EI7KLZGptazGs900FKqL6ZrGF93dM39s8JoacLzsi4tyhGKqZ4+6+kp3Y0jgm4wMR6+3GkRQjo5KlGd3Rx1I1VLHw1cA/Mjbp3A6SBWoN0XGe6fDtAmm78eYZjxnUoIZqlv9l4dH0FFpY+yoiiCa6DkGYTnfrT8rgAwzEXZwpzxGlv0ALk6OKtyzpgx+zd6r4pTnDM783eo+AWLhuNf3ruS+lC8qzGBFEOtKiWQAAAbABnqZqQR8ABwKi/x1aHQACEwMXFSOfeblcTzoIbWvUAVUZkgkAH4LNyjd1/geUs32uAajlEIPQkCw4FLaZtB8+umtSzNjv2XL0pdMgPTYDri1EdTmcKx8UO0gfTjnxrJapRZ/90pq6nV4DvkKIw2AgNu9WKPTb+sgbrGFajeFDuufiJzml+qSv+NPGm0OokCQASUSUaPjV0Uh48RMOcXZXdgU+qlbwsbxJI61xwUlyFIjhuYGl+HlALLuOC4WiWkXuckpvMmb2LYLPx5TaDO46DSMF2kr/+pLcFkCy+i5ylNwTvVKF60xKK7fRL7uti/oqmAHCMKqKhiQJrT15hZ/LY2+E1vos109UhZORASh2tTY9uXVVsuGqPDIWWv4lRcg9QAC6f9jLkLhYIZs+uR2oVi0/N4rcV9uMwG+AtRs6Ikc/sxuVLHw1bl5MQJO8R0kCjQWbW/TxII9dqq2eqq/nY+3sVwbc2/ee8YoHbj6u9LBxn2M/G55sn7zXK38YI4COUYYZqbcWTtn1LVxApWvjyMnRbND78PMCeCQ4ACxcN6iBrCIAa3l5KyKkUQ60oQMAAAAUQZqrSahBbJlMCCn//taMsAAAB9wAAAAcQZ7JRRUsEv8AFWPrFOwcisPCCfmpXng2sShQwAAAAaMBnuh0QR8ABwKi/x1aHQACEwMXFSOfeblcTzoIbWvUAVUZkgkAH4LNyjd1/geUs32uAajlEIPQkCw4FLaZtB8+umtSzNjv2XL0pdMgPTYDri1EcqiC/orRX87YMqssAoW3v5v7+RgBVg+Z7+m6zwVSOy7fSsc0N3iwx0Jmbp3A+zeIMOpDOUfYuQDhHK3/kESY2ddc/r1JMN688D6Iu5ONXU89ql1TTlSqCsbUU1XuPIWGFJNRh9rZ0ujp32HziJmyWIZt51yTGHMMMaEaOM2zMz28A8ebZ+MNyujYLH0wqe/vqCuyqsVAOzDFaWlavlg8ByNOUfhdIBMlVhgWTdI4xTJazmVU9E0Ph23dh7MGT650W3U2kPfEZYav6tzWrgeyC6JiVEzdbxOilqXZWREOgJ2YD67dDCreVGZF7uK+KJ87ZNo8lmjUdC12K/wJQTu1NPGdRdSq7X+y8FwWP+C4N6iKIJrgYEocjJ+81yt/t7YCc1pLhgU8SMr6oMdK9ABEKxMYkh1RsVL8Mz1YUrggOxcN/PBrLEzgEaJGMCKIdaUIEQAAAaIBnupqQR8ABwKi/x1aHQACEwMXFSOfeblcTzoIbWvUAVUZkgkAH4LNyjd1/geUs32uAajlEIPQkCw4FLaZtB8+umtSzNjv2XL0pdMgPTYDri1EcqiC/orRX87YMqssAoW3v5v7+RgBVg+Z7+m66szx2y7fSrqcN3iwx0Jmbp3A+zeIMOpDOUfYuQDhHK3/kERyDkpOBjVpMN688D6Iu5ONWyOhIqqmnKlUFY2opqvceQn0Ha/5G+TZ0ujp32HziJmyWIZt51yTGHMMMaEaOM2zMz28A8ebZ+MNyujYLH0wqe/vqCuyqsVAOzDFbOktDpe4gNS8j8LpAJkqsMCybpKGKXGfw6uoW/xm6Z3YgbCk/1tpT5NpD3xGWGr+y81O/TZBdExKiZut4nSqle/ipasiFVdySMZRMc9danq2dwOkgUpDaU4rUEEXHlooZhNxHzDMeM6jM2p60zeSytZc23j7KiKIJrgYEocjJ+81yt/t34CPkj4PAp4kZX1QU6V6FR0ViYw8T/Ixq6W4SVhSuCA7Fw3w8GsqTOARokYwIoh1pQgQAAAAFEGa70moQWyZTAgn//61KoAAAB6wAAAAHEGfDUUVLBL/ABVj6xTsHIrDwgn5qV54NrEoUMEAAAGjAZ8sdEEfAAcCov8dWh0AAhMDFxUjn3m5XE86CG1r1AFVGZIJAB+Czco3df4HlLN9rgGo5RCD0JAsOBS2mbQfPrprUszY79ly9KXTID02A64tRHKogv6K0V/O2DKrLAKFt7+b+/kYAVYPme/pus8FUjsu30rHNDd4sMdCZm6dwPs3iDDqQzlH2LkA4Ryt/5BEmNnXXP69STDevPA+iLuTjV1PPapdU05UqgrG1FNV7jyFhhSTUYfa2dLo6d9h84iZsliGbedckxhzDDGhGjjNszM9vAPHm2fjDcro2Cx9MKnv76grsqrFQDswxWlpWr5YPAcjTlH4XSATJVYYFk3SOMUyWs5lVPRND4dt3YezBk+udFt1NpD3xGWGr+rc1q4HsguiYlRM3W8Topal2VkRDoCdmA+u3Qwq3lRmRe7i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" Your browser does not support the video tag.\n",
"</video>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"execution_count": 446,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# here we have 100 steps of a random grid at 3 frames per second\n",
"show_grid_anim(step_n(clip_step, random_grid(32, 0.1), 50), fps=3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Its interesting to see that some grids seem to get stuck, like the one above. While this makes for a boring movie, it is very interesting because we just discovered a fix point!\n",
"\n",
"A [fixed point](https://en.wikipedia.org/wiki/Fixed_point_%28mathematics%29) of a function `f` is an `x` where\n",
"\n",
"$$ f(x) = x $$\n",
"\n",
"A fixed point everyone knows from algebra would be\n",
"\n",
"$$f(x) = x^2$$\n",
"\n",
"where `1` is a fixed point of `f` because\n",
"\n",
"$$1^2 = 1$$\n",
"\n",
"And so a fixed point in the Game of Life is a grid `g` which steps to itself.\n",
"\n",
"(I'll note that fixed points appear in programming language theory, for example the [Y combinator](https://en.wikipedia.org/wiki/Fixed-point_combinator#Fixed_point_combinators_in_lambda_calculus), completely tagent to the topic of this notebook but interesting to note the connection nonetheless)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Lets try and find some fix points of the Game of Life! First with some brute force on *all* 5x5 grids."
]
},
{
"cell_type": "code",
"execution_count": 447,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# is x a fixpoint of f\n",
"# due to numpy internals, this is not as general as it could be, but it will suffice\n",
"is_fixpoint = lambda f, x: np.all(f(x) == x)\n",
"# don't worry about the insides of this, just know it yields every possible board state of size n\n",
"nxn_grids = lambda n: map(lambda l: np.array(l).reshape((n, n)), product(*[range(2)] * n ** 2))"
]
},
{
"cell_type": "code",
"execution_count": 448,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAUQAAADtCAYAAADHjgxUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nv0MECEEECEEECEEECEEEiF+MnYKHX+sBNQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f42abaa8ac8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# a quick test, there should be 16 possible 2x2 boards\n",
"for i, g in enumerate(nxn_grids(2)):\n",
" plt.subplot(4, 4, i + 1)\n",
" show_grid(g)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"An `n x n` grid will have\n",
"$$ 2 ^{n ^ 2}$$\n",
"possible cell configurations since there are `n x n` grid cells and each can take one of 2 values. This grows very very very quickly."
]
},
{
"cell_type": "code",
"execution_count": 449,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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" <th>6</th>\n",
" <td>68719476736</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7</th>\n",
" <td>562949953421312</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" 0\n",
"2 16\n",
"3 512\n",
"4 65536\n",
"5 33554432\n",
"6 68719476736\n",
"7 562949953421312"
]
},
"execution_count": 449,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ns = np.arange(2, 8)\n",
"pd.DataFrame(2 ** (ns ** 2), index=ns)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Lets print out all configurations in `4x4` grids which are fixpoints."
]
},
{
"cell_type": "code",
"execution_count": 450,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.2410888671875% of possible 4x4 grids are fixpoints\n"
]
},
{
"data": {
"image/png": 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ecr80jp9ud2u+7HXMttvv9+nxs31+/Pgx/vu//3vW+7DlnMneWy37fok1fKS15cv2udQa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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f42a8f5bd30>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# only keep the 4x4 grids which are fixpoints\n",
"fixpoints = filter(lambda g: is_fixpoint(clip_step, g), nxn_grids(4))\n",
"plt.figure(figsize=(16, 9))\n",
"n = 0\n",
"for i, g in enumerate(fixpoints):\n",
" n += 1\n",
" plt.subplot(10, 16, i + 1)\n",
" show_grid(g)\n",
"print('{}% of possible 4x4 grids are fixpoints'.format(100 * n / (2 ** (4 ** 2))))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"These fixpoints are not the only interesting patterns in the Game of Life. Another is repetitive sequences of grids which end up back at the same point after `n` steps. A 2-cycle is something where (read `|` as \"such that\"):\n",
"\n",
"$$ x \\mid f(f(x)) = x $$\n",
"\n",
"But it may take a lot of steps of `f` to get back to the original `x`. We can say that `x` is an `n` length cycle if (read f ^ n as n applications of f):\n",
"\n",
"$$ x \\mid f^{n}(x) = x $$\n",
"\n",
"This notion of cycles is related to something like the [Lorenz System](https://en.wikipedia.org/wiki/Lorenz_system)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Lets try and find some of these cycles!"
]
},
{
"cell_type": "code",
"execution_count": 451,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def possible_cycle(it):\n",
" \"\"\"return None if `it` only has unique values\n",
" otherwise, return the first instance of a value which is repeated\"\"\"\n",
" # the call to `str` is a cheat since numpy.ndarray is unhashable\n",
" cache = set(str(next(it))) # store every grid we've seen in our iterations\n",
" for el in it:\n",
" if str(el) in cache: # have we seen this already?\n",
" return el\n",
" else:\n",
" cache.add(str(el))\n",
" return None\n",
"\n",
"def cycle(it):\n",
" \"\"\"We assume the first element in `it` forms a finite cycle,\n",
" yield the elements which form a cycle\"\"\"\n",
" x0 = next(it)\n",
" yield x0\n",
" for el in it:\n",
" if np.all(el == x0): # this breaks generality, but it will suffice\n",
" return el\n",
" else:\n",
" yield el"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Lets print the first non-simple cycle we find in 4x4 grids."
]
},
{
"cell_type": "code",
"execution_count": 452,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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},
"execution_count": 452,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"MAX_STEPS = 100 # how long we'll look for a cycle\n",
"for g in nxn_grids(4):\n",
" g_prime = possible_cycle(step_n(clip_step, g, MAX_STEPS))\n",
" if g_prime is not None: # we have a cycle beginning/ending at g_prime\n",
" gs = list(cycle(step_many(clip_step, g_prime)))\n",
" if len(gs) == 1:\n",
" continue # skip simple cycles aka fixed-points\n",
" gs.append(gs[0]) # add the first grid to the end to make a seamless video\n",
" break\n",
"show_grid_anim(gs, fps=1)"
]
},
{
"cell_type": "code",
"execution_count": 453,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def n_cycle(it, n, max_steps=100):\n",
" for g in it:\n",
" g_prime = possible_cycle(step_n(clip_step, g, max_steps))\n",
" if g_prime is not None: # we have a cycle beginning/ending at g_prime\n",
" gs = list(cycle(step_many(clip_step, g_prime)))\n",
" if len(gs) != n:\n",
" continue # skip simple cycles aka fixed-points\n",
" gs.append(gs[0]) # add the first grid to the end to make a seamless video\n",
" return g, gs"
]
},
{
"cell_type": "code",
"execution_count": 454,
"metadata": {
"collapsed": false
},
"outputs": [
{
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},
"execution_count": 454,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"g, gs = n_cycle(nxn_grids(4), 3)\n",
"show_grid_anim(gs, fps=1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Turns out, its rather difficult to find n-cycles with such simple methods as the number of possible starting grids to search through is enormous. See the Wikipedia page on Game of Life for examples of oscillators with periods of up to 15!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We'll be transitioning away from the Game of Life (not before two tangents though), so I'll include a nice long video of 100 steps of a random 32x32 grid to bask in its glory. If you're interested in larger simulations, there are programs specialized in efficient simulation of large grids and for many time steps."
]
},
{
"cell_type": "code",
"execution_count": 455,
"metadata": {
"collapsed": false
},
"outputs": [
{
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" Your browser does not support the video tag.\n",
"</video>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"execution_count": 455,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"show_grid_anim(step_n(clip_step, random_grid(32, 0.5), 100))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The following is something which struck me as awesome the first time I saw it as it connected two otherwise disparate areas of study with such simplicity. I first saw this [here](http://kamicut.cc/2014/05/29/conways-game-of-life-julia.html).\n",
"\n",
"Remember that the Game of Life is computed for each cell based on its neighboring cells. If you imagine a 3x3 grid centered over and hovering above the current cell, the cell's neighbors are exactly those which line up with the hovering grid. If we want to count the number of live cells in the neighbors, we can fill the hovering grid with all 1s (and the middle cell is a 0) and compute a dot-product-like sum with the original grid. I think this image sums it up best (the hovering grid is called a kernel):\n",
"\n",
"![Convolution image](https://developer.apple.com/library/ios/documentation/Performance/Conceptual/vImage/Art/kernel_convolution.jpg)\n",
"\n",
"This process is a fundamental process in image processing, you can read more [here](https://en.wikipedia.org/wiki/Kernel_%28image_processing%29)\n",
"\n",
"I bring this up because it greatly simplifies our function. We no longer have to worry about choosing the proper indices, but only about producing a new \"image\"."
]
},
{
"cell_type": "code",
"execution_count": 456,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def step_convolution(g, mode):\n",
" \"\"\"Use the same modes as before\"\"\"\n",
" # The source I reference uses a slightly different kernel and is a bit trickier, see it if you're interested\n",
" kernel = np.array([[1, 1, 1], [1, 0, 1], [1, 1, 1]])\n",
" if mode == 'clip':\n",
" live = convolve2d(g, kernel, mode='same', boundary='fill', fillvalue=0)\n",
" else: # mode == 'wrap'\n",
" live = convolve2d(g, kernel, mode='same', boundary='wrap')\n",
" # live[i, j] contains the number of live neighbors of the cell g[i, j]\n",
" # the following are the combinations of what will yield a live cell\n",
" return (((g == 1) & (live == 2)) | ((g == 1) & (live == 3)) | ((g == 0) & (live == 3))).astype('int')\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 457,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<video controls autoplay loop>\n",
" <source 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" Your browser does not support the video tag.\n",
"</video>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"execution_count": 457,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"show_grid_anim(step_n(lambda g: step_convolution(g, 'clip'), random_grid(32, 0.5), 100))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So you can see we get the same result, but in a different way; neat!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The last tangent before moving past Game of Life is the mode we've been ignoring this whole time: `wrap`.\n",
"\n",
"Remember that `wrap` treats a grid as if cells on the left edge are next to the cells on the right edge and likewise for the top and bottom edges. First let's see an example of this mode in action"
]
},
{
"cell_type": "code",
"execution_count": 458,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<video controls autoplay loop>\n",
" <source 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" Your browser does not support the video tag.\n",
"</video>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"execution_count": 458,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"show_grid_anim(step_n(lambda g: step_convolution(g, 'wrap'), random_grid(32, 0.2), 100))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A grid which exhibits this wrapping property behaves just like a [torus](https://en.wikipedia.org/wiki/Torus) (aka donut)!\n",
"\n",
"Let's view the Game of Life running on a torus! We can map a cartesian grid onto the surface of a torus as follows:\n",
"$$ u : [0, 2\\pi]$$\n",
"$$ v : [0, 2\\pi]$$\n",
"\n",
"$$x(u, v) = (R + r\\cos(u))\\cos(v)$$\n",
"$$y(u, v) = (R + r\\cos(u))\\sin(v)$$\n",
"$$z(u, v) = r\\sin(u)$$\n",
"\n",
"Where `R` is the distance from center of the tube to the center of the torus\n",
"and `r` is the radius of the tube"
]
},
{
"cell_type": "code",
"execution_count": 459,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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UP6CqCsFgV6NSLcrg4Ckk6Ryx2DiKUmV4+Dj9/aOYTNDZ2cf4+BUWF+8xNHR+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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f42ac401f60>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"R = 4\n",
"r = 3\n",
"u = np.linspace(0, 2 * np.pi, 200)\n",
"v = np.linspace(0, 2 * np.pi, 200)\n",
"uu, vv = np.meshgrid(u, v)\n",
"x = (R + r * np.cos(uu)) * np.cos(vv)\n",
"y = (R + r * np.cos(uu)) * np.sin(vv)\n",
"z = r * np.sin(uu)\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"ax.plot_surface(x, y, z, alpha=0.2);"
]
},
{
"cell_type": "code",
"execution_count": 460,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def grid_to_torus(g, R, r):\n",
" N = g.shape[0]\n",
" u = np.linspace(0, 2 * np.pi, N)\n",
" v = np.linspace(0, 2 * np.pi, N)\n",
" x = []\n",
" y = []\n",
" z = []\n",
" for i in range(N):\n",
" for j in range(N):\n",
" if g[i, j] == 1:\n",
" uu = u[i]\n",
" vv = v[j]\n",
" x.append((R + r * np.cos(uu)) * np.cos(vv))\n",
" y.append((R + r * np.cos(uu)) * np.sin(vv))\n",
" z.append(r * np.sin(uu))\n",
" return x, y, z\n",
"\n",
"def torus_surface(R, r):\n",
" u = np.linspace(0, 2 * np.pi, 200)\n",
" v = np.linspace(0, 2 * np.pi, 200)\n",
" uu, vv = np.meshgrid(u, v)\n",
" x = (R + r * np.cos(uu)) * np.cos(vv)\n",
" y = (R + r * np.cos(uu)) * np.sin(vv)\n",
" z = r * np.sin(uu)\n",
" return x, y, z\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 461,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# add some 3d versions of our show function, they are slightly optimized to\n",
"# only plot the surface once, which makes them repetitive\n",
"\n",
"def clear_ticks_labels(ax):\n",
" ax.set_xticklabels([])\n",
" ax.set_xticks([])\n",
" ax.set_yticklabels([])\n",
" ax.set_yticks([])\n",
" ax.set_zticklabels([])\n",
" ax.set_zticks([])\n",
"\n",
"def show_grid3(g, R=4, r=3):\n",
" ax = plt.gca(projection='3d')\n",
" clear_ticks_labels(ax)\n",
" x, y, z = torus_surface(R, r)\n",
" ax.plot_surface(x, y, z, alpha=0.1)\n",
" x, y, z = grid_to_torus(g, R, r) \n",
" return ax.scatter(x, y, z)\n",
"\n",
"def grid3_anim(gs, R=4, r=3):\n",
" fig = plt.figure()\n",
" ax = plt.gca(projection='3d')\n",
" clear_ticks_labels(ax)\n",
" x, y, z = torus_surface(R, r)\n",
" ax.plot_surface(x, y, z, alpha=0.1)\n",
" def frames():\n",
" for t, g in enumerate(gs):\n",
" yield (ax.scatter(*grid_to_torus(g, R, r)), )\n",
" return animation.ArtistAnimation(fig, list(frames()), blit=True)\n",
"\n",
"def show_grid3_anim(gs, fps=2):\n",
" return anim_to_html(grid3_anim(gs), fps)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's test it!"
]
},
{
"cell_type": "code",
"execution_count": 462,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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Zz3z4UtgU2hKcZ3/qkuGKE92z2SteCWKr6zqPPnqM48eXsCwPAwPbiUTGiMXSzM8vEAyG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\neWRZGc11XdcZpb5eCaqqMhwOr3t+Fy3JrtwpqWpyS6frui6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dSJWmKAonTpxl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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f42ace68940>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"show_grid3(random_grid(32, 0.1));"
]
},
{
"cell_type": "code",
"execution_count": 463,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<video controls autoplay loop>\n",
" <source 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"</video>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"execution_count": 463,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"show_grid3_anim(step_n(wrap_step, random_grid(32, 0.2), 50))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"From here, we will depart from the Game of Life and venture into more general territory, starting with a stochastic, or random element.\n",
"\n",
"Instead of considering a fixed rule of state transitions, we can think of assigning a probability of transitioning from one state to the next based on some information from the neighbors of each cell. We'll only consider `clip` mode from here on out (assume `0` is the default value for the edges) and will generalize the stepping method. In anticipation of something in the future, we will write this function a bit more generally. We will allow the grid to have any number of states, and the transition function should take a cell's current state, the tally of the states of its neighbors, and produce a new state for that cell."
]
},
{
"cell_type": "code",
"execution_count": 464,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def iter_neighbors(g, i, j):\n",
" \"\"\"Iterate over the 8 neighbors of g[i, j]\"\"\"\n",
" N = g.shape[0]\n",
" counter = Counter() # counter simply tallies how many of each kind it sees\n",
" for di in [-1, 0, 1]:\n",
" for dj in [-1, 0, 1]:\n",
" if di == 0 and dj == 0: # skip the cell at (i, j)\n",
" continue\n",
" live += g[(i + di) % N, (j + dj) % N]\n",
" if not (i + di) in range(N) or (j + dj) not in range(N):\n",
" yield 0\n",
" else:\n",
" yield g[i + di, j + dj]\n",
"\n",
"# return a tally of the number of each state for the 8 neighbors \n",
"count_neighbors = lambda g, i, j: Counter(iter_neighbors(g, i, j))\n",
"\n",
"# stoch == stochastic\n",
"def stoch_step(g, transition):\n",
" \"\"\"`g` is a grid and `transition` is a function which takes the current state and a\n",
" Counter object and returns a new state\"\"\"\n",
" N = g.shape[0]\n",
" g_prime = grid(N)\n",
" for i in range(N):\n",
" for j in range(N):\n",
" g_prime[i, j] = transition(g[i, j], count_neighbors(g, i, j))\n",
" return g_prime\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To see this is a generalization, we can easily write the rules for Game of Life using this more general, `stoch_step` just without any randomness."
]
},
{
"cell_type": "code",
"execution_count": 465,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def gol_transition(state, neighbors):\n",
" if state == 1 and (neighbors[1] == 2 or neighbors[1] == 3):\n",
" return 1\n",
" if state == 0 and (neighbors[1] == 3):\n",
" return 1\n",
" return 0"
]
},
{
"cell_type": "code",
"execution_count": 466,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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" Your browser does not support the video tag.\n",
"</video>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"execution_count": 466,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"show_grid_anim(step_n(lambda g: stoch_step(g, gol_transition), random_grid(16, 0.2), 20))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And we can now easily add some randomness to the Game of Life, this transition function is the same as before, but with a only a 99% chance (as opposed to 100%) of following the original rules."
]
},
{
"cell_type": "code",
"execution_count": 467,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def stoch_gol_transition(state, neighbors):\n",
" if state == 1 and (neighbors[1] == 2 or neighbors[1] == 3):\n",
" return int(random() < 0.99) \n",
" if state == 0 and (neighbors[1] == 3):\n",
" return int(random() < 0.99)\n",
" return int(random() < 0.01)"
]
},
{
"cell_type": "code",
"execution_count": 468,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<video controls autoplay loop>\n",
" <source 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"</video>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"execution_count": 468,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"show_grid_anim(step_n(lambda g: stoch_step(g, stoch_gol_transition), random_grid(16, 0.1), 20))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As you can see, we get some strange behavior. Now lets add more states to model disease transmissions! This is a very rudimentary example but the idea can easily be extended to more complex models."
]
},
{
"cell_type": "code",
"execution_count": 469,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"HEALTHY = 0\n",
"VACCINATED = 1\n",
"INFECTED = 2\n",
"\n",
"def disease_transition(state, neighbors, pTransmission, pRecovery):\n",
" if state == VACCINATED:\n",
" return VACCINATED\n",
" if state == HEALTHY:\n",
" if random() < (neighbors[INFECTED] * pTransmission / sum(neighbors.values())):\n",
" return INFECTED\n",
" else:\n",
" return HEALTHY\n",
" if state == INFECTED:\n",
" if random() < pRecovery:\n",
" return VACCINATED\n",
" else:\n",
" return INFECTED\n",
" \n",
"def disease_grid_init(N, pVaccinated, pInfected):\n",
" pHealthy = 1 - pVaccinated - pInfected\n",
" return np.random.choice(np.arange(3), size=N ** 2, p=[pHealthy, pVaccinated, pInfected]).reshape((N, N))\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 470,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def disease_anim(pTransmission, pRecovery, pVaccinated, pInfected, N, T):\n",
" transition = partial(disease_transition, pTransmission=pTransmission, pRecovery=pRecovery)\n",
" g = disease_grid_init(N, pVaccinated, pInfected)\n",
" return grid_anim(step_n(lambda g: stoch_step(g, transition), g, T))"
]
},
{
"cell_type": "code",
"execution_count": 471,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
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" Your browser does not support the video tag.\n",
"</video>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"execution_count": 471,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"anim_to_html(disease_anim(0.2, 0.05, 0.05, 0.01, 32, 100), fps=2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The above shows healthy cells in white, vaccinated cells in gray, and infected cells in black. Infected cells have a chance to recover and end up the same as the vaccinated ones (since they've developed an immunity after having the disease).\n",
"\n",
"Once we have this framework for modeling, we can explore what would happen if we, say, have no vaccines and no good cure for a disease."
]
},
{
"cell_type": "code",
"execution_count": 472,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<video controls autoplay loop>\n",
" <source 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