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Last active January 23, 2017 17:03
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Reinforcement learning examples
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Bridge crossing example\n",
"\n",
"In this notebook we implement several algorithms of [\"Reinforcement learning - An introduction\" book](https://webdocs.cs.ualberta.ca/~sutton/book/the-book-2nd.html) for the basic example of 'Bridge crossing' problem. Below one can find the following algorithms applied to the example:\n",
"\n",
"**A) Modeled environment, Dynamic Programming**\n",
"\n",
"- Iterative solution of Bellman equation for *value function*\n",
"- Greedy policy improvement\n",
"- Policy iteration algorithm\n",
"- Value iteration algorithm\n",
"\n",
"**B) Monte Carlo methods**\n",
"\n",
"- First-visit policy evaluation\n",
"- Exploring Starts\n",
"- On-policy first-visit\n",
"\n",
"**C) Temporal Difference methods**\n",
"\n",
"- ...\n",
"\n",
"\n",
"## Example description\n",
"\n",
"We have a 2D grid of size `6x3` with a bridge over the pit. \n",
"\n",
"``` \n",
" _ _ _ _ _ _\n",
"|_|X|X|X|X|_|\n",
"|S|_|_|_|_|E|\n",
"|_|X|X|X|X|_|\n",
"```\n",
"where `S` denotes the staring position, `E` - end position and `X` corresponds to the pit.\n",
"\n",
"Model is defined as following :\n",
"- States : $(x, y)$ positions on the grid\n",
"- Actions : `[North, South, West, East]` moves\n",
"- Rewards : `[Fail, Success, Step]` reward values\n",
"\n",
"We assume the environment to be deterministic by the probability $p(s',r \\mid s,a)$. For example\n",
"\n",
"$$\n",
"p(S+(1,0),r \\mid s=S,a=\\text{West}) = 1.0 \\, \\text{for only}\\, r=\\text{Step}, \\\\\n",
"p(S+(0,1),r \\mid s=S,a=\\text{North}) = 1.0 \\, \\text{for only}\\, r=\\text{Step}, \\\\\n",
"p(S+(0,-1),r \\mid s=S,a=\\text{South}) = 1.0 \\, \\text{for only}\\, r=\\text{Step}\n",
"$$\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pylab as plt\n",
"import seaborn as sns\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"ACTIONS = ['W', 'N', 'E', 'S']\n",
"REWARDS = [-10, 10, 0] # Fail, Success, Step\n",
"\n",
"GRID_WIDTH = 6\n",
"GRID_HEIGHT = 3\n",
"GRID = np.zeros((GRID_HEIGHT, GRID_WIDTH))\n",
"GRID[0, 1:GRID_WIDTH-1] = GRID[2, 1:GRID_WIDTH-1] = -1.0\n",
"\n",
"START_POS = (0, 1)\n",
"END_POS = (GRID_WIDTH - 1, 1)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
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79u1Tjx491LJlS4ercw/6aB96aR96aQ/6aB96GZzG8gSDoE6Dfvnllzpz5oyaNWt2xdeN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\nI6wBAAAYjLAGAABgsP8HHZ07+BqOfL0AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7c0e19350>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"with sns.axes_style('dark', {'figure.facecolor': '0.90'}):\n",
" plt.figure(figsize=(8,3))\n",
" sns.heatmap(GRID, cmap='gray', annot=True, fmt=\"0.0f\")"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def on_grid(x, y):\n",
" return 0 <= x < GRID_WIDTH and 0 <= y < GRID_HEIGHT \n",
"\n",
"def in_pit(x, y):\n",
" return GRID[GRID_HEIGHT - 1 - y, x] < 0.0\n",
"\n",
"def on_bridge(x, y):\n",
" return not in_pit(x, y)\n",
"\n",
"def at_end_position(x, y):\n",
" return x == END_POS[0] and y == END_POS[1]\n",
"\n",
"def take_action(state, action):\n",
" x, y = state\n",
" if action == 'N':\n",
" return (x, y+1)\n",
" elif action == 'W':\n",
" return (x-1, y)\n",
" elif action == 'E':\n",
" return (x+1, y)\n",
" elif action == 'S':\n",
" return (x, y-1)\n",
" else:\n",
" raise Exception(\"Unknown action : {}\".format(action))\n",
" \n",
"\n",
"def bridge_proba(new_state, reward, state, action):\n",
" x, y = state\n",
" nx, ny = new_state\n",
" if not on_grid(x, y) or not on_grid(nx, ny):\n",
" return 0.0\n",
" \n",
" if action == 'N':\n",
" if ny != y + 1 or nx != x or in_pit(x, y):\n",
" return 0.0\n",
" elif in_pit(nx, ny) and reward == REWARDS[0]:\n",
" return 1.0\n",
" elif at_end_position(nx, ny) and reward == REWARDS[1]:\n",
" return 1.0\n",
" elif on_bridge(nx, ny) and not at_end_position(nx, ny) and reward == REWARDS[2]:\n",
" return 1.0\n",
" else:\n",
" return 0.0\n",
" elif action == 'S':\n",
" if ny != y - 1 or nx != x or in_pit(x, y):\n",
" return 0.0\n",
" elif in_pit(nx, ny) and reward == REWARDS[0]:\n",
" return 1.0\n",
" elif at_end_position(nx, ny) and reward == REWARDS[1]:\n",
" return 1.0\n",
" elif on_bridge(nx, ny) and not at_end_position(nx, ny) and reward == REWARDS[2]:\n",
" return 1.0\n",
" else:\n",
" return 0.0\n",
" elif action == 'W':\n",
" if ny != y or nx != x - 1 or in_pit(x, y):\n",
" return 0.0\n",
" elif in_pit(nx, ny) and reward == REWARDS[0]:\n",
" return 1.0\n",
" elif at_end_position(nx, ny) and reward == REWARDS[1]:\n",
" return 1.0\n",
" elif on_bridge(nx, ny) and not at_end_position(nx, ny) and reward == REWARDS[2]:\n",
" return 1.0\n",
" else:\n",
" return 0.0\n",
" elif action == 'E':\n",
" if ny != y or nx != x + 1 or in_pit(x, y):\n",
" return 0.0\n",
" elif in_pit(nx, ny) and reward == REWARDS[0]:\n",
" return 1.0\n",
" elif at_end_position(nx, ny) and reward == REWARDS[1]:\n",
" return 1.0\n",
" elif on_bridge(nx, ny) and not at_end_position(nx, ny) and reward == REWARDS[2]:\n",
" return 1.0\n",
" else:\n",
" return 0.0"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Check the probability normalization:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [],
"source": [
"for x in range(GRID_WIDTH):\n",
" for y in range(GRID_HEIGHT):\n",
" for action in ACTIONS:\n",
" if in_pit(x, y):\n",
" continue\n",
" nx, ny = take_action((x, y), action)\n",
" if not on_grid(nx, ny):\n",
" continue\n",
" p = 0\n",
" for nx in range(GRID_WIDTH):\n",
" for ny in range(GRID_HEIGHT):\n",
" for r in REWARDS:\n",
" p += bridge_proba((nx, ny), r, (x, y), action)\n",
" assert p == 1, \"Total probability is not 1, p={} for state=({}, {}) and action={}\".format(p, x, y, action)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Using environment model one can compute anything else one might want to know about the environment\n",
"- expected rewards for state–action pairs : $r(s,a) = \\mathbb{E}[R_{t+1} | S_t = s, A_t = a ] = \\sum_{r \\in \\cal{R}} r \\sum_{s' \\in \\cal{S}} p(s',r \\mid s,a)$\n",
"- state-transition probabilities : $p(s' \\, | \\, s, a) = \\sum_{r \\in \\cal{R}} p(s',r \\mid s,a)$"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(0.0, -10.0, 1.0, 0.0)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def reward(state, action):\n",
" reward = 0\n",
" for r in REWARDS:\n",
" p = 0\n",
" for x in range(GRID_WIDTH):\n",
" for y in range(GRID_HEIGHT):\n",
" p += bridge_proba((x, y), r, state, action)\n",
" reward += r * p \n",
" return reward\n",
"\n",
"def state_transition_proba(new_state, state, action):\n",
" p = 0\n",
" for r in REWARDS:\n",
" p += bridge_proba(new_state, r, state, action)\n",
" return p\n",
" \n",
"\n",
"reward((0, 1), 'E'), reward((1, 1), 'S'), state_transition_proba((0, 1), (0, 0), 'N'), state_transition_proba((1, 0), (0, 0), 'W')"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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OnUPG7tu3D8nJyZg/fz4ef/xxVFdXO5b19fVhy5YtSEpKwi9+8Qts2LABer1+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\n2J/lVi2aGv9mPAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7be7bddd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def display_state_action_func(state_action_func):\n",
" positions = {'N': [0.0, 0.25], 'S': [0.0, -0.25], 'W': [-0.25, 0.0], 'E': [0.25, 0.0]}\n",
" with sns.axes_style('dark', {'figure.facecolor': '0.90'}):\n",
" plt.figure(figsize=(8,3))\n",
" sns.heatmap(GRID, cmap='gray')\n",
" for y in range(GRID_HEIGHT):\n",
" for x in range(GRID_WIDTH):\n",
" for i, a in enumerate(ACTIONS):\n",
" pr = state_action_func((x, y), a)\n",
" plt.text(x + 0.5 + positions[a][0], y + 0.5 + positions[a][1], \"%0.2f\" % pr, va='center', ha='center')\n",
"\n",
"display_state_action_func(reward) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Value function and policy evaluation\n",
"\n",
"### Bellman equation\n",
"\n",
"Next we introduce *Bellman equation* for the *value function* :\n",
"$$\n",
"v_{\\pi}(s) = \\mathbb{E}_{\\pi}[G_t \\mid S_t=s] = \\sum_{a} \\pi(a \\mid s) \\sum_{s', r} p(s',r \\mid s, a) \\left[ r + \\gamma v_{\\pi}(s')\\right],\n",
"$$\n",
"where $\\mathbb{E}_{\\pi}[.]$ denotes an expected value of a random variable given that the agent follows the policy $\\pi$, $G_t$ is a discounted return defined as \n",
"$$\n",
"G_t = \\sum_{k=0}^{\\infty} \\gamma^k R_{t+k+1}\n",
"$$\n",
"Here $R_{t+k}$ defines a reward random variable at step $t+k$.\n",
"\n",
"We want to estimate *value functions* using the above equation. Let us define several policy functions $\\pi_i(a \\mid s)$. Policy function is a mapping from each state $s \\in \\cal{S}$ and action $a \\in \\cal{A}$ to probability of taking action $a$ when in state $s$"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def get_cross_bridge_actions(state, new_state_cond):\n",
" x, y = state\n",
" if in_pit(x, y):\n",
" return [] \n",
" actions = []\n",
" for a in ACTIONS:\n",
" nx, ny = take_action(state, a)\n",
" if new_state_cond(nx, ny):\n",
" actions.append(a)\n",
" return actions\n",
"\n",
"def default_policy(state, action):\n",
" if at_end_position(state[0], state[1]):\n",
" return 0.0\n",
" \n",
" actions = get_cross_bridge_actions(state, lambda nx, ny: on_grid(nx, ny) and on_bridge(nx, ny))\n",
" if action not in actions:\n",
" return 0.0 \n",
" else:\n",
" if action == 'E':\n",
" return 0.75\n",
" else:\n",
" return 0.25 / (len(actions) - 1) if len(actions) > 1 else 1.0\n",
"\n",
"def another_policy(state, action):\n",
" if at_end_position(state[0], state[1]):\n",
" return 0.0\n",
" actions = get_cross_bridge_actions(state, lambda nx, ny: on_grid(nx, ny))\n",
" if action not in actions:\n",
" return 0.0 \n",
" else:\n",
" if action == 'E':\n",
" return 0.75\n",
" else:\n",
" return 0.25 / (len(actions) - 1) if len(actions) > 1 else 1.0\n",
"\n",
"def some_other_policy(state, action):\n",
" if at_end_position(state[0], state[1]):\n",
" return 0.0\n",
" actions = get_cross_bridge_actions(state, lambda nx, ny: on_grid(nx, ny))\n",
" if action not in actions:\n",
" return 0.0 \n",
" if len(actions) > 0:\n",
" return 1.0 / len(actions)\n",
" else:\n",
" return 0.0"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7fc7be81ad90>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Tv2jugnmUDnMpHebSMTzm2POWH6fwypoDgoODIZPJ7M5Y9Ho9NBoNNBoN6uvr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\nh7lUTqrmktecfy9V/u+k7Mia1Wod1wvx+XwQQiA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"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7c0e19d50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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zZ8+SnJzMkSNH0Ol0PPjgg7z00ktttt2yZQubN2/m/Pnz9O3bl7lz53LfffcB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\nRkREROTB/g9GQG0xNeJ6iwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7be340d50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Fg8EAQFpaGllZWaSnp7Nr1y4sFgvJyclN3Bvnuvnmm6murub06dPk5ubi7+9f5w+HRqOh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\niIiIiMIYizUiIiKiMPZ/kzP7RS2gX9QAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7be744c10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"display_state_action_func(default_policy)\n",
"plt.title(\"Default policy\")\n",
"display_state_action_func(another_policy)\n",
"plt.title(\"Another policy\")\n",
"display_state_action_func(some_other_policy)\n",
"plt.title(\"Some other policy\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First policy function `default_policy` suggests to move to the right and avoid to fall in the pit. We will see later that this policy provides the *optimal value function*. Second policy function `another_policy` also suggests to move to the right and has non-zero probabilities to fall in the pit. The third policy, as it is shown on the plot, has equal probabilities to move anywhere: cross the bridge and fall to the pit."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Policy evaluation\n",
"In the following snippet we implement methods to compute right-hand side of Bellman equation and the error between left-hand side and right-hand side computed over all state for a given value function. "
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def Bellman_equation_RHS(state, value_function, policy, model_proba, gamma):\n",
" x, y = state\n",
" res = 0\n",
" for a in ACTIONS:\n",
" p = 0\n",
" for xp in range(GRID_WIDTH):\n",
" for yp in range(GRID_HEIGHT):\n",
" for r in REWARDS:\n",
" t = (r + gamma * value_function[GRID_HEIGHT - 1 - yp, xp])\n",
" t *= model_proba((xp, yp), r, state, a)\n",
" p += t\n",
" res += p * policy(state, a)\n",
" return res\n",
"\n",
"def Bellman_equation(value_function, policy, model_proba, gamma):\n",
" \"\"\"\n",
" Method to compute difference between left and right hand sides of Bellman equation for all states\n",
" :return: sum(abs(LHS - RHS)) for all states\n",
" \"\"\"\n",
" err = 0\n",
" for x in range(GRID_WIDTH):\n",
" for y in range(GRID_HEIGHT): \n",
" lhs = value_function[GRID_HEIGHT - 1 - y, x]\n",
" rhs = Bellman_equation_RHS((x, y), value_function, policy, model_proba, gamma)\n",
" err += np.abs(lhs - rhs)\n",
" return err"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(0.0, 0.0, 0.0, 27.5)"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"value_function = np.zeros((GRID_HEIGHT, GRID_WIDTH))\n",
"\n",
"Bellman_equation_RHS((0, 0), value_function, default_policy, bridge_proba, 0.8), \\\n",
" Bellman_equation_RHS((GRID_WIDTH-1, 1), value_function, default_policy, bridge_proba, 0.8), \\\n",
" Bellman_equation_RHS((0, 1), value_function, default_policy, bridge_proba, 0.8), \\\n",
" Bellman_equation(value_function, default_policy, bridge_proba, 0.8)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Initialize value function by some random values and solve Bellman equation iteratively (*iterative policy evaluation*). In terminal states, value function $v_{\\pi}(\\cal{S}^{+})$ is zero."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Iteration : 0, err: 28.213018\n",
"Iteration : 10, err: 0.003266\n",
"Iteration : 0, err: 27.591170\n",
"Iteration : 10, err: 0.000002\n",
"Iteration : 0, err: 29.510866\n",
"Iteration : 10, err: 0.000013\n"
]
},
{
"data": {
"text/plain": [
"(8.8496669659043903e-08, 1.8431933312967885e-08, 2.5823911009581479e-08)"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def init_value_function():\n",
" value_function = np.zeros((GRID_HEIGHT, GRID_WIDTH))\n",
" for x in range(GRID_WIDTH):\n",
" for y in range(GRID_HEIGHT): \n",
" if on_bridge(x, y):\n",
" if at_end_position(x, y):\n",
" value_function[GRID_HEIGHT-1-y, x] = 0.0\n",
" else:\n",
" value_function[GRID_HEIGHT-1-y, x] = np.random.rand()\n",
" return value_function\n",
"\n",
"def compute_value_function(policy, gamma):\n",
" value_function = init_value_function()\n",
" \n",
" min_err = 1e-7\n",
" err = Bellman_equation(value_function, policy, bridge_proba, gamma)\n",
" count = 0\n",
" while min_err < err:\n",
" if count % 10 == 0:\n",
" print(\"Iteration : %i, err: %f\" % (count, err))\n",
" count += 1\n",
" for x in range(GRID_WIDTH):\n",
" for y in range(GRID_HEIGHT):\n",
" rhs = Bellman_equation_RHS((x, y), value_function, policy, bridge_proba, gamma)\n",
" value_function[GRID_HEIGHT - 1 - y, x] = rhs\n",
" \n",
" err = Bellman_equation(value_function, policy, bridge_proba, gamma)\n",
" \n",
" return value_function\n",
"\n",
"\n",
"gamma = 0.7\n",
"\n",
"value_function_1 = compute_value_function(default_policy, gamma)\n",
"value_function_2 = compute_value_function(another_policy, gamma)\n",
"value_function_3 = compute_value_function(some_other_policy, gamma)\n",
" \n",
"Bellman_equation(value_function_1, default_policy, bridge_proba, gamma), \\\n",
"Bellman_equation(value_function_2, another_policy, bridge_proba, gamma), \\\n",
"Bellman_equation(value_function_3, some_other_policy, bridge_proba, gamma)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next we can plot value functions for three policies:"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7fc7bdf27dd0>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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ZGbB7N3TvnseKFXaX5UeNCuC11/JZvx4yM2Hy5HxuvTXPZdmLLrLRu3cAL7/s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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7be81a3d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12, 2))\n",
"plt.subplot(131)\n",
"sns.heatmap(value_function_1, annot=True, fmt=\"0.2f\", cmap='jet')\n",
"plt.title(\"Default policy\")\n",
"\n",
"plt.subplot(132)\n",
"sns.heatmap(value_function_2, annot=True, fmt=\"0.2f\", cmap='jet')\n",
"plt.title(\"Another policy\")\n",
"\n",
"plt.subplot(133)\n",
"sns.heatmap(value_function_3, annot=True, fmt=\"0.2f\", cmap='jet')\n",
"plt.title(\"Some other policy\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Action value function\n",
"\n",
"We can also compute a function that gives a value of taking action $a$ in state $s$ under policy $\\pi$, *action value function*.\n",
"\n",
"It is defined similarly to value function as \n",
"$$\n",
"q_{\\pi}(a, s) = \\mathbb{E}_{\\pi}[G_t \\mid S_t=s, A_t=a]\n",
"$$\n",
"\n",
"We can compute it using the following formula :\n",
"$$\n",
"q_{\\pi}(a, s) = \\sum_{s', r} p(s', r \\mid s, a) \\left[ r + \\gamma v_{\\pi}(s') \\right]\n",
"$$\n"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def action_value_function(state, action, value_function, model_proba, gamma):\n",
" res = 0\n",
" for xp in range(GRID_WIDTH):\n",
" for yp in range(GRID_HEIGHT):\n",
" v = value_function[GRID_HEIGHT - 1 -yp, xp]\n",
" for r in REWARDS:\n",
" t = r + gamma * v\n",
" t *= model_proba((xp, yp), r, state, action)\n",
" res += t\n",
" return res"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7fc7bd9bd7d0>"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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a2pKXl8eNGzeMXrpcvXp1nJycUKlU3L59m2vXrpllwKc11NFa6il1lPaWOpaP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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7bde5ed50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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4eXnh6urKvHnzOHz4MBkZGfccX0FBAePGjSMyMtLoC2HuOr/66ivatWvHmDFj\ncHBwoF+/fgQFBbFjx45qt88Ujo6OODo6kpmZiVarpaSkhOzsbNRqtVFZtVpNTk4ORUVFaLVasrOz\ngYodqG5+VlYWZWVllJeXk5mZiZOTE7a2tmbVX12Msa7EKTFKe0uM5qlL+3NrPzY+CJKs3UVBQQFp\naWmkp6ebdQZwr5KSkvD29sbZ2Vk/zdfXl4sXL3Lz5k2DsqdOncLX11f/t6Io+Pj4kJiYSEpKCnl5\nefj4+Ojnt2/fHpVKpT/TuRceHh5MmDCh0nkpKSnk5+ebvM7Tp08bXQL39fUlMTGx2u0zhUqloqSk\nxOA2QWFhIQ4ODkZDcahUKoPbDbqyKpUKe3t7bGxsDNq/pKQErVaLSqUyKZa6HGNdiVNilPaWGM1T\nl/bn1n5sfBAaSrJmVp+1HTt2sGfPHi5fvmwwvW3btoSEhBASEmLR4HQ0Gg2urq4G03SXzDUajf4s\nq6qyarUajUaDRqNBURSjMzhXV1f9GVtNxK6LwZR1ajQao8v4arVaX/Zu22cKGxsbysrKDKbpdpq2\ntraUlpZWW9bW1lZ/5npn35CysrL7PvOuCzHWlTglRmlvidFyrG1/XpePjZZS15MwU5mcrEVHRxMf\nH8/48ePp3LkzLi4uaLVa8vLySE5OZtu2beTk5DB58uSajFdP10CmDMxaXWNqtdoHPsCrueu8W1lr\n+7JaWzyVqQsxQt2IU2K0nLoQp8RY+fqsZX9e14+N5mooIxiYfBv00KFDLF26lNGjR9O1a1e8vb1p\n1aoVPj4+jB07lvfee4/Y2NgaCdLd3d0ou8/JyUFRFJo0aWJSWXd3d9zd3Q36Pejk5uYaLeduYmNj\n8ff3x9/fnx49elQbO2DyOps0aWJUVqPR6Jdzt+0zRWVnnbq/7zyDrapsWVmZvmxV8+9HXYixrsQp\nMUp7S4x3V5f359Z2bKwNDeU2qMnJWkFBwV0brWnTpkb3yC2le/fupKamGlwaPnnyJB06dKBRo0ZG\nZW+/x15eXk5SUhI9e/akdevWqNVqg/lnz56lpKQEPz8/k+MJCQnh5MmTnDx5koSEhLuWbd26Na6u\nriav8874oaITqW4nUtX2VbeT0SkqKtL39dBRqVQUFxcbfZmLioqM+n44OjpSWFio73Pi6Oion6fr\nc3JnHxNz1YUY60qcEqO0t8R4d3V5f25tx8baUFvJWl5eHosXL2bMmDGMGzeO5cuXU1xcXGX57777\njqlTpzJwi/0kAAAgAElEQVR8+HAmT57Mnj17zFqfycmar68v69evrzQhy83NJSoqip49e5q1clP5\n+Pjg7+/PihUryM/P5/z588TExBAWFgZAcHAwv/76KwChoaHExsaSkJBAYWEhUVFRODo6EhAQgI2N\nDRMmTGDdunWkpaWRnZ3NypUrGTp0qMlnMuYyZZ2vvfaa/lHr0aNHc/XqVXbu3ElxcTFHjhzh+++/\n5+mnn77r9g0aNMikeIqKiigsLMTT0xNFUbC3t8fNzU3/Y2/btq1+56jr46BSqVAURX/2pfsO5OTk\n4OHhgZ2dHTY2Nnh6epKXl3ffZ951Ica6EqfEKO0tMVqOte3P6/Kx0VJqK1lbvnw5RUVFbN68mejo\naFJSUoiOjq607JkzZ/jb3/7G1KlT+frrr5k1axarV6/m1KlTJq9PSU1NNWkL0tLSWLRoERcuXKB5\n8+a4uLgAFT+WtLQ0fHx8WLx4MZ6eniav/HYtWrS46/z09HQWLlzIjz/+iLOzM6GhocyaNQuo+MLe\n/uLCrVu3Eh0dTVZWFn5+frz99tt07NgRqHhaaOnSpezZs4eysjICAwN56623DJ6mMVdsbCwLFy5E\nURSKi4v1O46QkBCWLFlS7TonT55Mz549iYiIAODnn3/m3Xff5cKFC3h7e/Pyyy8zePBg/frutn2m\n9C+wtbXFy8uLxo0bU15ejkajISsrC4BOnTpx9epVCgoKgIoOqO7u7tja2lJYWMj169cNzh6aNm2q\n77R68+ZN0tPTLfKjqAsx1pU4JUZpb4nRWFVlrGl/bgprODZeu3bN5HgtzZxXizRt2tQi68zOzuap\np55i48aNtGvXDoAff/yRxYsXs3v3bqNb8z/++CO///47zz77rH5aeHg4jz/+OM8884xJ6zQ5WdM5\nc+YM//vf/8jNzQUqfkhdunShU6dO5izGSHXJmjCNtXcGFUIIa1DX+zBZk9pM1q5fv25y2WbNmllk\nnT/99BMLFizgwIED+mkajYYxY8bwySef6BO4qpSVlfH0008zffp0hg4datI6zR5uqmvXrnTt2tXc\njwkhhBBCWFRtJN25ublGVxxvv9tYnejoaBo1akRgYKDJ66wzY4MKIYQQQtyuppK1AwcOEBkZaXC3\nSvcqk6lTp1b5uerubkVHRxMXF8eqVauwt7c3OR5J1oQQQghRJ9VUsjZkyBCGDBlS6byff/6Z/Px8\ng/fQ6bqGVTXwvVarZenSpfz++++sXbsWLy8vs+KpE2ODCiGEEELcqTaeBu3UqRNarZZz587ppyUn\nJ+Pi4kLr1q0r/czf//53UlJSWLNmjdmJGkiyJoQQQog6qry83OR/lqJWqwkICGDjxo3k5ORw/fp1\nPvvsM0aOHKl/f2BERASHDx8GKt6td/DgQZYuXXrPb56Q26BCCCGEqJNq66neiIgIVq5cSWhoKHZ2\ndgwZMsSgL9u1a9fIz88HYN++fdy8eVP/fj0df39/li9fbtL6zH51R02RV3dYhry6Qwghqiev7rCc\n2nx1x6VLl0wu26ZNmxqMpGbJlTUhhBBC1EkNJemWZA0oLS1lxYoVxMTEGLztuTJnzpzhvffeIykp\nCUdHR/r168f8+fNxd3fnxx9/ZPLkyfqx6nRPirz//vsMGzbsQW1OrbCzs6NZs2Y0atSI8vJy8vLy\nyMzMrLSsm5sbbm5u2NraUlRUREZGhsFYfs2aNcPJyQlFUbh16xbp6ekW7W9gzaQeLUfq0nKkLu/d\n999/z+uvv86jjz7KihUrDObt3buX9evXc+XKFdq1a0dERAT9+/evdDm5ubksWrSIn376CRsbGwIC\nAli0aBEODg7A/xvSKDk5GQ8PDyZOnMhzzz1X49tX2xpKstbgHzC4desWYWFhJr3Irry8nBdeeIFe\nvXpx/Phxvv76a7KysliyZIm+jLe3NwkJCSQkJOgHBq7viRpAy5YtKS0t5cKFC1y5cgVnZ+dKH2F2\ncnLCw8ODa9euceHCBW7evIm3t7f+9q2npyeOjo5cunSJP/74A4DmzZs/yE2pVVKPliN1aTlSl/fm\n448/JjIykrZt2xrNS05O5vXXX+fVV1/lv//9L1OmTOHFF18kPT290mW98cYbFBYWsnfvXnbt2sX5\n8+d5//33gYrxVsPDw+nXrx/x8fF8+OGHREdHc/DgwZrcPKtQW2ODPmgNPlkrKChg3LhxREZGVtuY\n169fJyMjg9GjR2NnZ4darWbIkCEkJyc/oGitk6OjI46OjmRmZqLVaikpKSE7Oxu1Wm1UVq1Wk5OT\nQ1FREVqtluzsbKBiJ6+bn5WVRVlZGeXl5WRmZuLk5GQ01lp9JPVoOVKXliN1ee9UKhU7duyotK/U\nzp07GTRoEAMHDsTBwYFRo0bRuXNndu/ebVT2xo0bfPvtt7z88suo1WqaNm3KzJkz+fLLLykrK+PQ\noUOUlpYyY8YMVCoVvr6+jB8/nm3btj2IzaxVkqw1EB4eHkyYMMGksl5eXvj6+rJ9+3YKCgq4ceMG\n33zzjcGQEfn5+bz44os8+uijBAQEEBMTU0ORWw+VSkVJSYnBrYzCwkIcHByMHnhQqVQGt0R0ZVUq\nFfb29tjY2FBYWKifV1JSglarRaVS1exGWAGpR8uRurQcqct7N2nSpCpf1XD69Gl8fX0Npvn6+pKY\nmGhUNjk5GVtbW4MxuLt160ZBQQEXLlwgKSmJLl26GLRHVcuqbyRZE0YURWH16tUcPHiQRx55hAED\nBlBeXk5ERAQAzs7OdOnShSlTphAfH09kZCRr1qxh165dtRx5zbKxsaGsrMxgmm7HfucZc1VlbW1t\n9WXv7L9SVlZWb8+8byf1aDlSl5YjdVkzsrOzcXV1NZimVqv1VyNvp9Fo9GNP3l5Wd/VSo9EYLcvN\nzc2k7j11nSRrwkhxcTEzZsxgxIgR/Pzzz3z33Xc4Ozvz8ssvAxVnMps3b6Z3797Y2dnRv39/Jk6c\nWO+TtQehrv/QrIXUo+VIXVqO1GWF24cvMlVV5e9lWXVRbbwUtzY0uGQtNjYWf39//P396dGjh1mf\nPX78OFevXiUiIgInJyeaNm3K7NmzOXDggH5csDt5e3tz/fp1S4RutSo7M9b9fedZdlVly8rK9GWr\nml/fST1ajtSl5Uhd1gx3d3ejq2g5OTm4u7tXWjY3N9cgqdVoNCiKgru7O02aNDFalkajqXKcyvpE\nrqzVUyEhIZw8eVL/pKY5KsvQi4uL9Wcv+/fv5/PPPzf4zPnz56scK6y+KCoq0vdH0VGpVBQXFxv9\nQIqKioz6pzg6OlJYWKjvF6N79Qmg7xdzZz+Y+kjq0XKkLi1H6rJmdO/endOnTxtMS0xMrPQigo+P\nD1Dxeg6dkydP4urqSrt27fDz8+PMmTMGx6bExET8/f1rKHrrIcmaAGDLli36Pmm9evWicePGfPTR\nRxQWFpKdnc369evp06cPrq6u2Nvb8/7773Ps2DHKyso4evQou3btIjQ0tJa3omYVFRVRWFiIp6cn\niqJgb2+Pm5sbGo0GgLZt2+p34Lq+FSqVSn9WqNVquXnzJlBxZunh4YGdnR02NjZ4enqSl5fXIM68\npR4tR+rScqQua8aECRM4duwYR44cobi4mJ07d5KSksLo0aMBOHjwIM888wwATZo0YdiwYaxatYrs\n7GzS0tKIiopi/Pjx2NjY8Pjjj+Ps7ExUVBSFhYUkJCTwxRdfEBYWVpub+EA0lGStwQ83FRsby8KF\nC1EUheLiYv1OJCQkhCVLlrBmzRri4+PZunUrAElJSSxdupTff/8de3t7+vbty+uvv07Tpk0B2LFj\nBxs3biQtLQ1PT09mzpzJ2LFjH9j21FYfBVtbW7y8vGjcuDHl5eVoNBqysrIA6NSpE1evXqWgoACo\n6Bjr7u6Ora0thYWFXL9+neLiYv2ymjZtqu8se/PmTdLT0+v8D81UUo+WI3VpOfWxLh/EOv39/VEU\nhdLSUqCiHhVF0d/VOXjwIMuXL+fatWt07NiRN954g0ceeQSAL7/8khUrVhAfHw9UvGngrbfe4tCh\nQ9jb2zNq1Chef/117Owq3m1/7tw5Fi1axKlTp/D09CQ8PNxoLMqaUpvDTSUlJZlc9s6nb+uSBp+s\n1TcNoUOpEELcr4aUbNe02kzW7ryVfDfdunWrwUhqlgw3JYQQQog6qaEk3ZKsCSGEEKJOkmRNCCGE\nEMKKSbImhBBCCGHFJFkTQgghhLBidX1kAlNJsiaEEEKIOkmurAkhhBBCWDFJ1oQQQgghrJgka0II\nIYQQVkySNSGEEEIIKybJmhBCCCGEFZNkTQghhBDCikmyJoQQQghhxSRZE0IIIYSwYpKsCSGEEEJY\nMRnBQNRJDeUsQwghhGgoxzxJ1oQQQghRJ0myJoQQQghhxSRZE0IIIYSwYpKsCSGEEEJYMUnWhBBC\nCCGsmCRrQgghhBBWTJI1IYQQQggrJsmaEEIIIYQVk2RNCCGEEMKK1dYIBnl5eaxcuZITJ05ga2tL\n3759mTt3Lg4ODnf93K1bt5g8eTK9e/fmtddeM3l9NvcbsBBCCCFEbdBqtSb/s6Tly5dTVFTE5s2b\niY6OJiUlhejo6Go/t2nTJgoLC81enyRrQgghhKiTaiNZy87OJj4+nhdeeAEXFxc8PDyYPHky+/fv\np6ysrMrPnT9/nri4OIKDg81epyRrQgghhKiTaiNZO3fuHLa2trRr104/rXPnzhQUFHDp0qUqP/fh\nhx8ybdo0nJyczF5ng0/WvvzyS3x8fOjRowc9evTA39+fHj16kJiYWGn5oKAgunfvblB25syZAMTG\nxuqn6f51796dwYMHP8hNeqBKS0tZtmwZPj4+xMfHG8wrLi5m0aJFBAQE8NhjjzF37lw0Gk2Vyzp+\n/Djjx4/nkUceYdSoUXz11VcG8zdv3kxwcDB9+vRh0qRJnD59uka2qTZIPVqO1KXlSF1a1tWrVwkP\nD6dv374EBQXxwQcfVFn2bvVhbt3XZ7WRrOXm5uLs7GwwzcXFBYCcnJxKP7N7925sbGzu6aoaSLIG\nQJ8+fUhISCAhIYGTJ0+SkJCAn59fleVjYmIMykZFRQEQEhKin6b7N3bsWEaMGPGgNuWBunXrFmFh\nYVV+OVeuXElycjLbt29n//79aLVa5s+fX2nZjIwMZs6cSVhYGMePH2fBggUsXLhQv4OKi4tj7dq1\nLF++nKNHjxIQEEB4ePg93fu3NlKPliN1aTlSl5Y3e/ZsmjdvTlxcHDExMRw4cICYmBijctXVhzl1\nX9/VVLJ24MABAgMDCQoK0v/T/Z2Wllbl5xRFMZqWnZ3Npk2biIiIMHv7dCRZuwemNvrJkyc5cuQI\n//d//1fDEdWOgoICxo0bR2RkpFGdlJeX88UXXzBr1iy8vLxwdXVl3rx5HD58mIyMDKNlffXVV7Rr\n144xY8bg4OBAv379CAoKYseOHQBs376dsWPH4ufnh4ODA9OmTUNRFOLi4h7IttYkqUfLkbq0HKlL\ny0pMTOTs2bO8+uqrODk50aZNG5577jm2b99uVPZu9WFu3dd3NZWsDRkyhEOHDhEXF6f/p/u7S5cu\n5OfnGywzNzcXADc3N6NlRUVFERwcTNu2be95OyVZA9LS0nj++ef505/+xJAhQ9i9e/ddy2/evJkh\nQ4bw8MMPM2fOHLKysiott3z5cmbMmEHjxo1rIuxa5+HhwYQJEyqdl5KSQn5+Pj4+Pvpp7du3R6VS\nVXp74/Tp03Tr1s1gmq+vr/529KlTp/D19dXPUxQFHx+fKm9X1yVSj5YjdWk5UpeWlZSUhLe3t8Ht\nM19fXy5evMjNmzcNyt6tPlJSUsjLyzO57uu72rgN2qlTJ7RaLefOndNPS05OxsXFhdatWxuVP3jw\nIF9//TUhISGEhISwdetWvv32W/785z+bvM4Gn6y5u7vTtm1b/vrXv3L06FFeeuklFixYwA8//FBp\n+W7duuHn58fu3bvZt28fOTk5zJ0716jcL7/8wh9//MHYsWNrehOskq7/hFqtNpju6upKdnZ2peVd\nXV0NpqnVan3ZqubX934aUo+WI3VpOVKX5qtsG3VXYe7czrvVh0ajQVEUk+u+vquNZE2tVhMQEMDG\njRvJycnh+vXrfPbZZ4wcORIbm4q0KiIigsOHDwOwY8cOPvnkEzZu3MjGjRsZPXo0/fv3Z+PGjSav\ns8G/FDcgIICAgAD93yNGjODAgQPs2rWLvn37GpX/+9//rv9/o0aNWLRoESNHjuTy5csGGfWnn37K\n008/Xe0L8hoarVZb6T39qtytbEN5c3VlpB4tR+rScqQuzaPbRlPqrLr6MLfu64va+p5ERESwcuVK\nQkNDsbOzY8iQIUydOlU//9q1a+Tl5QHg6elp8NnGjRujUqnw8PAweX0N7sqa7olN3VOblfH29ub6\n9esmLa9Vq1YABuULCwv57rvvCAoKuv+ArYgpdafj7u4OYHSml5ubS5MmTYzKN2nSxKisRqPRL8fd\n3d1ofk5Ojn5+XSL1aDlSl5YjdVmzqtpGRVGM6uxu9eHu7o5WqzW57uu78vJyk/9ZkpOTEwsXLmTv\n3r3s3r2b2bNnY2f3/65/ff7554waNarSz06ZMsWs0QugASZruic2dU9tbt26lX379hmUOX/+fKX3\nnVNTU3n77bcpKSnRTzt37hyKohiUj4+Pp1GjRgZ9DuqDO+vublq3bo2rq6tBH4qzZ89SUlJS6ZO2\n3bt3N+pvkZiYqD9o3Dm/vLycpKSkag8q1kjq0XKkLi1H6rJmde/endTUVINbnidPnqRDhw40atTI\nqGxl9dGzZ09at26NWq02ue7ru9oaweBBa3DJ2p2Ki4v529/+xqlTpygtLWXPnj18//33hIaGAhUd\nA5955hmgosNtXFwcy5Yt49atW6Snp7N06VKCgoJo1qyZfpnJycl4e3vXyvZYCxsbGyZMmMC6detI\nS0sjOzublStXMnToUP3Z8muvvaZ/bH306NFcvXqVnTt3UlxczJEjR/j+++95+umnAQgNDSU2NpaE\nhAQKCwuJiorC0dGRQYMG1dIWPhhSj5YjdWk5Upfm8/Hxwd/fnxUrVpCfn8/58+eJiYkhLCwMgODg\nYH799Veg6voICAgwqe4bkoaSrDX4PmuTJ0+moKCAuXPnkpmZSatWrVi7dq3+SZu8vDxSUlIAcHR0\nZOPGjSxdupTHH38cRVEYMmSI0fttMjIyjO5R10exsbEsXLgQRVFQFIUZM2ZgY2NDSEgIS5YsYc6c\nORQUFBASEkJZWRmBgYG89dZb+s9fu3YNLy8voOKy//r163n33XdZsmQJ3t7eLF++nE6dOgEwcOBA\nIiIimDdvHllZWfj5+bFhw4Z60SdQ6tFypC4tR+rS8lavXs3ChQsZMGAAzs7OhIaG6i8MpKSkUFBQ\nAFRfH9XVfUNS15MwUympqalWsaUtWrSo7RCEEEIIYaZr167V2rore09dVap6FU1d0OCvrAkhhBCi\nbmooV9YkWRNCCCFEnSTJmhBCCCGEFZNkTQghhBDCikmyJoQQQghhxSRZE0IIIYSwYpYemcBaSbIm\nhBBCiDpJrqwJIYQQQlixhpKs1Znhpq5evUp4eDh9+/YlKCiIDz74oMqymzdvJjg4mD59+jBp0iSD\nMdSKi4tZtGgRAQEBPPbYY8ydO9dgrDZLKS0tZdmyZfj4+BAfH19t+XXr1jFgwAB69erF888/T2pq\nqn66bmBl3b/u3bvzl7/85YHGeObMGf7yl7/Qp08fBgwYwKuvvkpWVhYAP/74I127dtXHp4v3m2++\nue8Y9+7dy+jRo3n44Yd56qmnOHr0aKXlUlNTjerJ39+frl276l/YWFpaSmRkJH379qV3797MnTuX\n3Nzc+45Rt2xrbW9TfzulpaWsXr2awYMH06tXL6ZMmcLly5cNyuzYsYMnnniCnj17MnHiRM6cOXPP\ncVWmrrQ3QGRkJF27dq1yfkFBAa+88gpdu3bl4sWLVZb79NNP6dq1q/47cL+stb2///57+vfvz8sv\nv2w0z9R2h4oBy+fNm0f//v0ZOHAgb775JsXFxfr5Z86c4dlnn6V3794MGzaMTZs23XPMt6vr7Q3W\ncWy0tIYy3FSdSdZmz55N8+bNiYuLIyYmhgMHDujHnbtdXFwca9euZfny5Rw9epSAgADCw8MpLCwE\nYOXKlSQnJ7N9+3b279+PVqs1Gi7qft26dYuwsDBycnJMKr9lyxb27NnDli1biI+Pp0OHDvodzIwZ\nM/QDK+v+9e3blxEjRjywGMvLy3nhhRfo1asXx48f5+uvvyYrK4slS5boy3h7e+vj08U7bNiw+4ox\nOTmZ119/nVdffZX//ve/TJkyhRdffJH09HSjsi1btjSqp8jISHr27KkfHWPFihUkJSWxZ88eDh48\niJ2dnVlvv66Ktbe3qb+d6OhoYmNjiYqK4ocffuDhhx9m5syZ+vmHDx/m73//O6tXr+a///0vgYGB\nREVF3XNcd6or7a2LNTY2FkVRKp1//fp1xo4di729fZVldOU2bdp01zLmssb2/vjjj4mMjKRt27ZG\n88xpd4A33niDwsJC9u7dy65duzh//jzvv/8+AEVFRYSHh9OvXz/i4+P58MMPiY6O5uDBg/cU9+0x\n1vX2toZjY02QZM2KJCYmcvbsWV599VWcnJxo06YNzz33XKU73u3btzN27Fj8/PxwcHBg2rRpKIpC\nXFwc5eXlfPHFF8yaNQsvLy9cXV2ZN28ehw8fJiMjw2LxFhQUMG7cOCIjI036gmzatImXXnqJhx56\nCCcnJ9544w3eeOONSsvu37+fzMzM+x42w5wYr1+/TkZGBqNHj8bOzg61Ws2QIUNITk6+rxiqs3Pn\nTgYNGsTAgQNxcHBg1KhRdO7cmd27d1f72fz8fJYvX86bb74JVOzEt27dyptvvknTpk1xc3NjxYoV\nTJs27b7jtOb2Nue3c+jQISZMmEDnzp1xcHBg9uzZZGdnk5CQAMAnn3zC888/T/fu3VGpVISHh/PR\nRx/dU1yVqSvtrdVqefvtt3n++eerLJOVlcVrr73Giy++eNfvxN/+9jf92JCWYK3trVKp2LFjB23a\ntDGaZ06737hxg2+//ZaXX34ZtVpN06ZNmTlzJl9++SVlZWUcOnSI0tJSZsyYgUqlwtfXl/Hjx7Nt\n27Z7ihvqT3tbw7GxJkiyZkWSkpLw9vbG2dlZP83X15eLFy9y8+ZNg7KnTp3C19dX/7eiKPj4+JCY\nmEhKSgp5eXn6QdoB2rdvj0qlMrgcfL88PDxMPrimp6dz5coVNBoNI0eOpG/fvsyZM0d/i/F25eXl\nrFixgldeeeW+z8zMidHLywtfX1+2b99OQUEBN27c4JtvviEwMFBfJj8/nxdffJFHH32UgICASs/s\nzHX69GmDtoSKdk9MTKz2s5988gkPP/ww3bt31y+rtLSUM2fOMHjwYPr378/ChQu5devWfcdpze1t\nzm8HMFiPoig4OzuTnJxMeXk5CQkJ2NjY8NRTT9GnTx+mTp1qdNvsftSV9v78889xdHTkySefrLJM\n165dDX4flfnuu+84e/Yszz//vMUOJNba3pMmTTKI6XbmtHtycjK2trb6AeABunXrRkFBARcuXCAp\nKYkuXboYbJep36Gq1Jf2toZjY02QZM2KaDQaXF1dDaa5ubnp51VXVq1Wo9Fo0Gg0KIqCWq02mO/q\n6kp2dnYNRF493aX+b775hk8//ZTdu3eTnp7OokWLjMp+9dVXuLi4MHDgwAcao6IorF69moMHD/LI\nI48wYMAAysvLiYiIAMDZ2ZkuXbowZcoU4uPjiYyMZM2aNezateu+1pudnV1pW1bXVjdv3mTLli2E\nh4frp6WlpaHVaomPj+ff//43n332GT/++COrVq26rxjN9aDb25zfzqBBg9i2bRtnz56luLiYf/3r\nX6Snp5OTk0N2djZFRUXExsby4YcfcvDgQRwdHZk7d+49x3anutDemZmZrFmzhrfffvu+llNUVMQ7\n77zDokWLsLe3v69l3a4utbeOOe2u0WhwcXExKqvVasnOzq5y+03tonCn+tTede3YaCpJ1u7R/fZT\nMpWu4k254lBdI2m1Wov2ITCHLrYXXngBT09PvLy8mD17NnFxcQadZqGic+jkyZMfeIzFxcXMmDGD\nESNG8PPPP/Pdd9/h7Oys7yjs6+vL5s2b6d27N3Z2dvTv35+JEyfed7JWGVPa6t///jedO3c26gxc\nVlbGSy+9hLOzM+3bt+f5559n3759Fo/xbqyhvav67UyfPp3BgwczdepUgoKCSE9Pp0+fPtja2uo/\nM2nSJNq0aYNarebVV18lKSmJlJQUi8d4e6zW1N5Lly5l3LhxtG/f/r6WExUVhb+/P/369buv5Zii\nLrX37TGbu0+uqvz97N/rU3vfrezd5tfWsdFUkqzdo5qoEHd3d6PsPicnB0VRaNKkiUll3d3dcXd3\n15+B3S43N9doOeaIjY3F399f/3SaOTw9PQEMzha9vb3RarUGt8YuX77MmTNnCAgIeOAxHj9+nKtX\nrxIREYGTkxNNmzZl9uzZHDhwoMqn67y9vbl+/fo9xah7us/Dw6PKtryb/fv388QTTxhMq6qeK7v9\naGqc1tzeOub8dhwcHFiwYAHff/898fHxvPTSS1y7dg0vLy/c3d2xtbU1ihu45z4tdaW9dY4fP85v\nv/2m74R/r/u68+fPs2PHDl5//fV7jqUq1tze5sZcWbu7u7uTm5trUPe6q0Lu7u40adLEaFkajUZ/\ntckc9a29a+PY+CA0lGTNrPesvfPOO9WWKSsru+dgqtK9e3dSU1MNfnQnT56kQ4cONGrUyKjs6dOn\n+fOf/wxU9PtJSkpiwoQJtG7dGrVazenTp/VPjJ09e5aSkhL8/PzuOb6QkBBCQkLu6bPNmzfX9xPR\n9Re4cuUKdnZ2NGvWTF8uLi6Orl273vMP535iLC8v1/+zsanI74uLi/VnXPv37yc7O9ug4+z58+dp\n3byFdR0AACAASURBVLr1fcX4t7/9zai/RGJi4l37juTk5PDrr78a3Vbs0KEDUNHnpW/fvkBFPTdv\n3tysGCuL0xwPqr11zPntJCUlkZuby6OPPgpU3LI9f/48Dz/8MDY2NrRt25bk5GQGDx6sj1tRFP1B\n3Fx1pb11du/eTVZWFoMGDQL+30GiX79+LFy4sMondu+8MrFv3z7y8/MZPXq0wQFkzJgxTJ8+nalT\np95zjNbc3neL2dR21/1mzpw5o///yZMncXV1pV27dvj5+bF161aDfVViYiL+/v5mx1Xf2rs2jo0P\nQkMZwcCsK2u//vorGRkZ2NvbV/mvJvj4+ODv78+KFSvIz8/n/PnzxMTEEBYWBkBwcDC//vorAKGh\nocTGxpKQkEBhYSFRUVE4OjoSEBCAjY0NEyZMYN26daSlpZGdnc3KlSsZOnRotWfvlrRlyxZ9fy9b\nW1vGjRvH+vXruXTpEjdu3CAqKoqQkBD9zgYqDjqtWrWqlRh79epF48aN+eijjygsLCQ7O5v169fT\np08fXF1dsbe35/333+fYsWOUlZVx9OhRdu3add9PPU2YMIFjx45x5MgRiouL2blzJykpKYwePRqA\ngwcP8swzzxh8Rtc5+s668vDwYPDgwaxcuZLMzEwuX75MTEwMTz311H3FaIrabG9zfju///47r7zy\nCpcuXSI/P5/FixczePBg/cF54sSJbNmyhcTERPLz8/nwww959NFH9Tv3+2Xt7b1gwQL2799PbGws\nsbGxbNiwAai4QhgUFMTw4cP1dalT2Rn9c889x4EDB/j3v/+tXxbAP/7xDyZOnHjP8UHdam8dc9q9\nSZMmDBs2jFWrVpGdnU1aWhpRUVGMHz8eGxsbHn/8cZydnYmKiqKwsJCEhAS++OIL/fabo761d104\nNt4LubJWifnz57NmzRqWLl1K48aNKy1z6NAhiwR2p9WrV7Nw4UIGDBiAs7MzoaGh+mQgJSWFgoIC\nAAYOHEhERATz5s0jKysLPz8/NmzYgIODAwBz5syhoKCAkJAQysrKCAwM5K233rJorLGxsSxcuBBF\nUVAUhRkzZmBjY0NISAhLliwhOzvb4IWIERERlJSUMH78eEpLSxk2bJjRqxwyMjJo165drcTo5ubG\nxo0bWbp0KQEBAdjb29O3b18WL14MwBNPPMGCBQtYsmQJaWlpeHp68uabb+rPyO9Vp06d+OCDD4iM\njOTatWt07NiR6OhoPDw8AMjLyzPqP3Pjxg0aNWpkdFYJ8N577/HWW28xbNgw7OzsGDduHNOnT7+v\nGMH629vU386YMWM4e/Ys48ePp7y8nMDAQIMrVs8++yw5OTnMmDGDmzdv8thjj7FixQqLxAjW394u\nLi4GtwVLS0tRFEV/RfSPP/7Q1+W6detYt24dUHGlJSQkRP/d+L//+z+cnJwMlq0oCp6enkbT74U1\ntre/vz+KolBaWgrAgQMHUBSFhIQEs9t98eLFvPXWWzzxxBPY29szatQo5s2bB1Tc2o2OjmbRokVs\n2LABT09PXn75ZR5//HGzY65v7W0Nx8aaUNeTMFMpqampZm3p1q1bcXBwYOzYsZXOHzp0KP/5z3/M\nDsTSZ2tCCCGEqHm6UUNqw9q1a00uO2vWrBqMpGaZPTZodZdt7yVRE0IIIYQwV0O5siYDuQshhBCi\nTpJkTQghhBDCikmyJoQQQghhxSRZE0IIIYSwYpKsCSGEEEJYMUnWhBBCCCGsWEMZwUCSNSGEEELU\nSXJlTQghhBDCijWUZM2ssUHroy+//BIfHx969OhBjx498Pf3p0ePHiQmJlZaPigoiO7duxuUnTlz\nJlAx7JBumu5f9+7d73vYJWtWWlrKsmXL8PHxIT4+3mBecXExixYtIiAggMcee4y5c+ei0WiqXNbx\n48cZP348jzzyCKNGjeKrr74ymL9582aCg4Pp06cPkyZNMhr8uS6TerQcqUvLkbq0rKtXrxIeHk7f\nvn0JCgrigw8+qLLs3erD3LqvzxrK2KANPlnj/2vv3sOauNM9gH+HAAkGCAQElOrxUi+g0NuxrU9t\nqe5BrT3Kylos7NbHbm056tK6tFrRRVdXXSvF1a2itPUs1b148Fasx9piUbdedru9yN1SRbFyRxLu\nCSHJ+YMnOcaAhDYhCfl+noenzczPmff3BmbemfnNDIApU6YgPz8f+fn5KCgoQH5+PiIiInptn5WV\nZdI2IyMDABATE2OcZviJjY3FnDlzBqorA6qjowMJCQloamrqcf727dtRWlqK7OxsnDp1Cnq9Hikp\nKT22ra+vx7Jly5CQkIBLly5hzZo1SE1NNW6g8vLysHv3bqSlpeHChQuIiopCYmIiVCqVzfo3UJhH\n62EurYe5tL6kpCSEhIQgLy8PWVlZyM3NRVZWllm7vvLRn9wPdizWqFeWfukFBQU4d+4c/uu//svG\nEdlHe3s7FixYgC1btpjlRKfT4ciRI1i+fDmCg4Ph6+uLFStW4OzZs6ivrzdb1kcffYTRo0dj/vz5\n8PT0xNSpUzFjxgwcOnQIAJCdnY3Y2FhERETA09MTS5YsgSAIyMvLG5C+2hLzaD3MpfUwl9ZVWFiI\nsrIyrFy5ElKpFCNHjsSLL76I7Oxss7b3ykd/cz/YsVhzITU1NfjlL3+JRx99FNHR0Th+/Pg92+/f\nvx/R0dF4+OGH8eqrr6KxsbHHdmlpaVi6dCmGDBlii7DtLiAgAHFxcT3Oq6ioQGtrK8LCwozTxowZ\nA4lE0uPljeLiYkyaNMlkWnh4uPFydFFREcLDw43zBEFAWFhYr5ernQnzaD3MpfUwl9ZVUlKC0NBQ\neHt7G6eFh4fj+vXraGtrM2l7r3xUVFSgpaXF4twPdvYq1lpaWrBhwwbMnz8fCxYsQFpaGjo7O3tt\nf/v2baxduxazZ89GbGws3n///X6tz+WLNblcjlGjRmHVqlW4cOECfv3rX2PNmjX45z//2WP7SZMm\nISIiAsePH8fHH3+MpqYmvPbaa2btvvrqK9y4cQOxsbG27oJDMoyfkMlkJtN9fX2hUCh6bO/r62sy\nTSaTGdv2Nn+wj9NgHq2HubQe5rL/euqjn5+fcV5fbQ35UCqVEATB4twPdvYq1tLS0qBWq7F//35k\nZmaioqICmZmZvbb/zW9+g+HDh+PDDz/EH//4R3z11Vf45ptvLF6fy98NGhUVhaioKOPnOXPmIDc3\nF0ePHsVjjz1m1v6dd94x/r+XlxfWrVuHZ599Ft9//z1GjBhhnPfBBx9g4cKF8PT0tG0HnIxer4cg\nCBa3v1dbZz+t/WMwj9bDXFoPc9k/hj5akrO+8tHf3A8W9vg9USgUOH/+PPbt2wcfHx8AwKJFi7Bh\nwwYsW7YMIpHIpP3ly5dRXV2Nd955B+7u7rjvvvuwZ8+efq3T5c6sGe7YNNy12ZPQ0FDU1dVZtLz7\n7rsPAEzaq1Qq/P3vf8eMGTN+fMAOxJLcGcjlcgAwO9Jrbm6Gv7+/WXt/f3+ztkql0rgcuVxuNr+p\nqck435kwj9bDXFoPc2lbvfVREASznN0rH3K5HHq93uLcD3b2OLN29epViEQijB492jht/PjxaG9v\nx82bN83aFxUVYcyYMXj//fcRExODhISEHscq3ovLFWuGOzYNd20ePHgQH3/8sUmba9eumZwlM6iq\nqsJvf/tbaDQa47SrV69CEAST9ufPn4eXl5fJmIPB4O7c3cuIESPg6+trMoairKwMGo2mxzttJ0+e\nbDbeorCw0LjTuHu+TqdDSUlJnzsVR8Q8Wg9zaT3MpW1NnjwZVVVVJpc8CwoKMHbsWHh5eZm17Skf\nDz74IEaMGAGZTGZx7gc7nU5n8Y+1NDc3m4w9BGA8w9bT3dP19fUoLi6GXC5HdnY2XnvtNbz//vu4\ncOGCxet0uWLtbp2dndi8eTOKiorQ1dWFEydO4PPPP0d8fDwA4PTp0/j5z38OoHvAbV5eHt566y10\ndHSgtrYWW7duxYwZMxAUFGRcZmlpKUJDQ+3SH0fh5uaGuLg47NmzBzU1NVAoFNi+fTtmzpxpPFp+\n8803jbetz5s3D5WVlTh8+DA6Oztx7tw5fP7551i4cCEAID4+Hjk5OcjPz4dKpUJGRgbEYjGefvpp\nO/VwYDCP1sNcWg9z2X9hYWGIjIxEeno6Wltbce3aNWRlZSEhIQEAMHv2bHz99dcAes9HVFSURbl3\nJbY6s5abm4vp06djxowZxh/D55qaml7/XU+XovV6Pfz8/BAXFwexWIzHHnsMTz75JM6cOWNxPC4/\nZm3RokVob2/Ha6+9hoaGBtx3333YvXu38U6blpYWVFRUAADEYjH27duHrVu34qmnnoIgCIiOjjZ7\nvk19fT0CAwMHvC8DLScnB6mpqRAEAYIgYOnSpXBzc0NMTAw2btyIV199Fe3t7YiJiYFWq8X06dOx\nfv1647+vrq5GcHAwgO7T/nv37sWmTZuwceNGhIaGIi0tDePGjQMAPPnkk0hOTsaKFSvQ2NiIiIgI\nvPvuu4NiTCDzaD3MpfUwl9a3c+dOpKamYtq0afD29kZ8fLzxxEBFRQXa29sB9J2PvnLvSmw1Zi06\nOhrR0dE9zvvyyy/R2tpqMk6wubkZwP/fNHInuVxudiYuJCQEpaWlFscjVFVVOcQozmHDhtk7BCIi\nIuqn6upqu627P0Xqhg0brLLOpqYm/OxnP8OePXuMBxwXL17E1q1b8eGHH8LNzfSi5dmzZ/HWW2/h\n2LFjkEgkAIDf/e53EIvFWLVqlUXrdPnLoEREROSc7HGDgUwmQ1RUFPbt24empibU1dXhwIEDePbZ\nZ42FWnJyMs6ePQsAmDp1Knx8fLB3716oVCp8/fXXuHDhAp555hmL18lijYiIiJySvZ6zlpycDKlU\nivj4eCxZsgTh4eF46aWXjPOrq6vR0tICoHsI1bZt23Dt2jXExMTgrbfeQnJycr9uCOFlUCIiIvrB\n7HkZ9De/+Y3FbTdt2mTDSGzL5W8wICIiIufkCg9PBlisERERkZNisUZERETkwKz5sFtHxmKNiIiI\nnBLPrBERERE5MBZrRERERA6MxRoRERGRA2OxRkREROTAWKwREREROTAWa0REREQOjMUaERERkQNj\nsUZOSRAEe4dAROTwXGUnP9i5yvfIYo2IiIicEt9gQEREROTAeGaNiIiIyIGxWCMiIiJyYCzWiIiI\niBwYizUiIiIiB8ZijYiIiMiBsVgjIiIicmAs1oiIiIgcGIs1IiIiIgfGYo2IiIjIgfENBkREREQO\njGfWXEhXVxfS09ORlZWF9957D9OmTeu17ZUrV/D73/8eJSUlEIvFmDp1KlJSUiCXy/HFF19g0aJF\nEIvFALp/iQRBwLZt2zBr1qyB6o5duLu7IygoCF5eXtDpdGhpaUFDQ0OPbf38/ODn5weRSAS1Wo36\n+nqo1Wrj/KCgIEilUgiCgI6ODtTW1rrO0RPzaDXMpfUwlz/c559/jtWrV+Pxxx9Henq6ybyTJ09i\n7969uHXrFkaPHo3k5GQ88cQTPS6nubkZ69atw7/+9S+4ubkhKioK69atg6enJ4DufdPmzZtRWlqK\ngIAAPP/883jxxRdt3j97c5Vizc3eAdhbR0cHEhIS0NTU1GdbnU6Hl19+GQ899BAuXbqE//3f/0Vj\nYyM2btxobBMaGor8/Hzk5+ejoKAA+fn5g75QA4Dhw4ejq6sL5eXluHXrFry9veHn52fWTiqVIiAg\nANXV1SgvL0dbWxtCQ0MhCAIAIDAwEGKxGDdv3sSNGzcAACEhIQPZFbtiHq2HubQe5vKHef/997Fl\nyxaMGjXKbF5paSlWr16NlStX4h//+AcWL16MX/3qV6itre1xWWvXroVKpcLJkydx9OhRXLt2Ddu2\nbQMAqNVqJCYmYurUqTh//jz+8Ic/IDMzE6dPn7Zl9xyCXq+3+MeZuXyx1t7ejgULFmDLli19fpl1\ndXWor6/HvHnz4O7uDplMhujoaJSWlg5QtI5JLBZDLBajoaEBer0eGo0GCoUCMpnMrK1MJkNTUxPU\najX0ej0UCgWA7o28YX5jYyO0Wi10Oh0aGhoglUohEokGtE/2wDxaD3NpPczlDyeRSHDo0CGMHDnS\nbN7hw4fx9NNP48knn4Snpyfmzp2L8ePH4/jx42Ztb9++jc8++wyvv/46ZDIZhg4dimXLluHYsWPQ\narU4c+YMurq6sHTpUkgkEoSHh+O5557D//zP/wxEN+2KxZqLCAgIQFxcnEVtg4ODER4ejuzsbLS3\nt+P27dv45JNPMH36dGOb1tZW/OpXv8Ljjz+OqKgoZGVl2ShyxyGRSKDRaEwuZahUKnh6ehqPqO9s\ne+clEUNbiUQCDw8PuLm5QaVSGedpNBro9XpIJBLbdsIBMI/Ww1xaD3P5w/3iF7+At7d3j/OKi4sR\nHh5uMi08PByFhYVmbUtLSyESiTBu3DjjtEmTJqG9vR3l5eUoKSnBhAkTTL6P3pY12LBYIzOCIGDn\nzp04ffo0HnnkEUybNg06nQ7JyckAAG9vb0yYMAGLFy/G+fPnsWXLFuzatQtHjx61c+S25ebmBq1W\nazLNsGG/+4i5t7YikcjY9u7xK1qtdtAeed+JebQe5tJ6mEvbUCgU8PX1NZkmk8mMZyPvpFQq4ePj\nY9bWcPZSqVSaLcvPz8+i4T3OjsUamens7MTSpUsxZ84cfPnll/j73/8Ob29vvP766wC6j2T279+P\nf//3f4e7uzueeOIJPP/884O+WBsIzv6H5iiYR+thLq2HuexmuCmtP3pr/0OW5YxYrA1SOTk5iIyM\nRGRkJB544IF+/dtLly6hsrISycnJkEqlGDp0KJKSkpCbm4vm5uYe/01oaCjq6uqsEbrD6unI2PD5\n7qPs3tpqtVpj297mD3bMo/Uwl9bDXNqGXC43O4vW1NQEuVzeY9vm5maTgkOpVEIQBMjlcvj7+5st\nS6lU9ngTyGDDYm2QiomJQUFBgfFOzf7Q6XTGH4POzk7j0cupU6fwt7/9zeTfXLt2DSNGjPjxgTsw\ntVptHI9iIJFI0NnZafYHolarzcaniMViqFQq47gYw6NPABjHxdw9DmYwYh6th7m0HubSNiZPnozi\n4mKTaYWFhT2eRAgLCwPQ/XgOg4KCAvj6+mL06NGIiIjAlStXTPZNhYWFiIyMtFH0joPFGgEA/vKX\nvxjHpD300EMYMmQI/vjHP0KlUkGhUGDv3r2YMmUKfH194eHhgW3btuHixYvQarW4cOECjh49ivj4\neDv3wrbUajVUKhUCAwMhCAI8PDzg5+cHpVIJABg1apRxA24YWyGRSIxHhXq9Hm1tbQC6jywDAgLg\n7u4ONzc3BAYGoqWlxSWOvJlH62EurYe5tI24uDhcvHgR586dQ2dnJw4fPoyKigrMmzcPAHD69Gn8\n/Oc/BwD4+/tj1qxZ2LFjBxQKBWpqapCRkYHnnnsObm5ueOqpp+Dt7Y2MjAyoVCrk5+fjyJEjSEhI\nsGcXB8SdJ1H6+nFmQlVVlUOUm8OGDbPLenNycpCamgpBENDZ2WnciMTExGDjxo3YtWsXzp8/j4MH\nDwIASkpKsHXrVnz77bfw8PDAY489htWrV2Po0KEAgEOHDmHfvn2oqalBYGAgli1bhtjY2AHrj73G\nKIhEIgQHB2PIkCHQ6XRQKpVobGwEAIwbNw6VlZVob28H0D0wVi6XQyQSQaVSoa6uDp2dncZlDR06\n1DhYtq2tDbW1tU5/VGQp5tF6mEvrGYy5HIh1RkZGQhAEdHV1AejOoyAIxqs6p0+fRlpaGqqrq3H/\n/fdj7dq1eOSRRwAAx44dQ3p6Os6fPw+g+0kD69evx5kzZ+Dh4YG5c+di9erVcHfvfrb91atXsW7d\nOhQVFSEwMBCJiYlYuHChzfsIANXV1QOynp5Y+jQHAMjOzrZhJLbl8sXaYOMKA0qJiH4sVyq2bc2e\nxdpzzz1ncdtDhw7ZMBLb4uumiIiIyCm5StHNYo2IiIickr2KtZaWFmzfvh2XL1+GSCTCY489htde\ne834rta7HTt2DEePHsXt27cRGBiIn/70p/0aIsUbDIiIiMgp2etu0LS0NKjVauzfvx+ZmZmoqKhA\nZmZmj23/8Y9/IDMzE2vXrsXJkyeRkpKCd999F//85z8tXh+LNSIiInJK9ijWFAoFzp8/j5dffhk+\nPj4ICAjAokWLcOrUqR7vbC4rK8OYMWMwceJEAN2PYhkzZgy+++47i9fJYo2IiIickj2KtatXr0Ik\nEmH06NHGaePHj0d7eztu3rxp1v7RRx9FRUUFLl++jK6uLhQXF+PmzZt49NFHLV4nx6wRERGRU7LH\nmLXm5mZ4e3ubTDO8u7Wn97FOnDgRS5cuxRtvvGF8V+6yZcswfvx4i9fJYo2IiIickq2KtdzcXGzZ\nssXkcViG962+9NJLvf67nh6f9c033+C9995DWloaJk+ejG+//Rbr1q1DUFAQnnjiCYviYbFGRERE\nTslWbyaIjo5GdHR0j/O+/PJLtLa2Gos3AMb3g/f0Ptbjx4/jqaeewkMPPQSg+1VjP/nJT3Dy5EmL\nizWOWSMiIiKnZI8xa+PGjYNer8fVq1eN00pLS+Hj49Pju8C1Wq1ZUanRaPq1Tqc5s1ZZWYmNGzfi\n8uXLkEqlmDNnDt54440e2+7fvx9//etfcfv2bUyYMAEpKSmYNGkSgO4Xr2/atAnnzp2DRqPBlClT\nsGHDhh6r4f7o6upCeno6srKy8N5772HatGnGef1d56VLl7B9+3aUl5dj+PDheOWVVzB37lyL+mcJ\nd3d3BAUFwcvLCzqdDi0tLWhoaOixrZ+fH/z8/CASiaBWq1FfX2/y0uWgoCBIpVIIgoCOjg7U1tZa\n5UjHGWJ0ljgZI79vxtg/zrQ9d/R9o63ZY8yaTCZDVFQU9u3bh5SUFKjVahw4cADPPvss3Ny6z4El\nJydj3rx5ePrpp/HEE0/gnXfewezZszFp0iSUlZXhzJkzWLZsmcXrdJoza0lJSQgJCUFeXh6ysrKQ\nm5uLrKwss3Z5eXnYvXs30tLScOHCBURFRSExMREqlQoAsH37dpSWliI7OxunTp2CXq9HSkrKj4qt\no6MDCQkJPQ4s7O866+vrsWzZMiQkJODSpUtYs2YNUlNTUVxcbFH/LDF8+HB0dXWhvLwct27dgre3\nd49/kFKpFAEBAaiurkZ5eTna2toQGhpqPO0bGBgIsViMmzdv4saNGwCAkJAQi+Nw9hidJU7GyO+b\nMVrO2bbnjrxvHAj2es5acnIypFIp4uPjsWTJEoSHh5uMZauurkZLSwsAYNasWfjlL3+Jbdu24dln\nn8XmzZvxi1/8ArNmzbJ4fU5RrBUWFqKsrAwrV66EVCrFyJEj8eKLL/b4Utbs7GzExsYiIiICnp6e\nWLJkCQRBQF5eHnQ6HY4cOYLly5cjODgYvr6+WLFiBc6ePYv6+vofHF97ezsWLFiALVu2mP1C9Hed\nH330EUaPHo358+fD09MTU6dOxYwZM4zvNLtX/ywhFoshFovR0NAAvV4PjUYDhUIBmUxm1lYmk6Gp\nqQlqtRp6vR4KhQJA9wbUML+xsdF4irehoQFSqRQikahf+XPGGJ0lTsbI75sx9o8zbc8dfd84EOxV\nrEmlUqSmpuLkyZM4fvw4kpKS4O7+/xcr//a3v5mcQY2NjcWBAwfw8ccf48CBA/16pylgg2Ktrq7O\n2otESUkJQkNDTW6VDQ8Px/Xr19HW1mbStqioCOHh4cbPgiAgLCwMhYWFqKioQEtLC8LCwozzx4wZ\nA4lEYjzS+SECAgIQFxfX47yKigq0trZavM7i4mKzU+Dh4eEoLCzss3+WkEgk0Gg0JpcJVCoVPD09\nze5ikUgkJpcbDG0lEgk8PDzg5uZmcgSo0Wig1+shkUgsisWZY3SWOBkjv2/G2D/OtD139H3jQLBX\nsTbQ+lWstbW14e2338YLL7yA5ORkfPPNN2ZtXnjhBasFZ6BUKuHr62syzXDKXKlU9tlWJpNBqVRC\nqVRCEASzIzhfX1/jEZu1GeKzdJ29xW9oe6/+WcLNzc3sCcuGjebdR6O9tRWJRMa2d48N0Wq1P/rI\n2xlidJY4GSO/b8ZoPY62PXfmfaO1sFjrwTvvvIOrV68iNjbWODjx2LFjJm0GKiGG9fT0TJPe2t5r\nviXLsab+rvNebR3tl9DR4umJM8QIOEecjNF6nCFOxtjz+hxle+7s+8b+YrHWg3/961/YtGkT5s+f\nj8TEROzYsQN/+tOfkJuba2xjiy9WLpebVfdNTU0QBAH+/v4WtZXL5ZDL5SbjHgyam5vNlnMvOTk5\niIyMRGRkJB544IE+Ywdg8Tr9/f3N2iqVSuNy7tU/S/R01Gn4fPcRbG9ttVqtsW1v838MZ4jRWeJk\njPy+GeO9OfP23NH2jfbAYq0HGo3G+EoFoPsVCps3b8aOHTvw1VdfAbDNEc3kyZNRVVVlclq3oKAA\nY8eOhZeXl1nbO6+x63Q6lJSU4MEHH8SIESMgk8lM5peVlUGj0SAiIsLieGJiYlBQUICCggLk5+ff\ns+2IESPg6+tr8Trvjh/oHkRq2Ij01r++NjIGarXaONbDQCKRoLOz0+y7U6vVZmM/xGIxVCqVccyJ\nWCw2zjOMObl7jEl/OUOMzhInY+T3zRjvzZm35462b7QHFms9eOCBB7Bz506TX4yIiAisXbsWGzZs\nwIkTJ2xyZi0sLAyRkZFIT09Ha2srrl27hqysLCQkJAAAZs+eja+//hoAEB8fj5ycHOTn50OlUiEj\nIwNisRhRUVFwc3NDXFwc9uzZg5qaGigUCmzfvh0zZ860+EimvyxZ55tvvmm81XrevHmorKzE4cOH\n0dnZiXPnzuHzzz/HwoUL79m/p59+2qJ41Go1VCoVAgMDIQgCPDw84OfnZ/xOR40aZdw4GsY4SCQS\nCIJgPPoyDFxtampCQEAA3N3d4ebmhsDAQLS0tPzoI29niNFZ4mSM/L4Zo/U42vbcmfeN1qLToex6\n5AAADmZJREFU6Sz+cWZCVVWVxeVmbW0t1qxZgwkTJmDVqlUm84qKivD222/j5s2bFt92fKdhw4b1\nue7U1FR88cUX8Pb2Rnx8PJYvXw6g+xf2zgcXHjx4EJmZmWhsbERERAR++9vf4v777wfQfXZw69at\nOHHiBLRaLaZPn47169ebvZS1P3JycpCamgpBENDZ2WnccMTExGDjxo19rnPRokV48MEHkZycDKD7\nVRabNm1CeXk5QkND8frrr+M//uM/jOu7V/8sKZZFIhGCg4MxZMgQ6HQ6KJVKNDY2Auh+MnNlZSXa\n29sBdA9AlcvlEIlEUKlUqKurQ2dnp3FZQ4cONQ5abWtrQ21trVWOYJwhRmeJkzHy+2aM5npr40jb\nc0s4wr6xurra4nitzdLCFgDOnj1rszhsrV/FmkFra2uPX6BWq0VxcTEiIyP7HUhfxRpZxtEHgxIR\nOQJnvyzmSOxZrEVFRVnc9ty5czaMxLZ+0Oumequ0RSLRDyrUiIiIiPrLVYpup3k3KBEREdGdWKwR\nEREROTAWa0REREQOjMUaERERkQNjsUZERETkwFisERERETkwFmtEREREDszZ30xgKZcu1iorK7Fx\n40ZcvnwZUqkUc+bMwRtvvNFj2/379+Ovf/0rbt++jQkTJiAlJQWTJk0CAHR2dmLTpk04d+4cNBoN\npkyZgg0bNsDPz28gu2NX7u7uCAoKgpeXF3Q6HVpaWtDQ0NBjWz8/P/j5+UEkEkGtVqO+vt7kXX5B\nQUGQSqUQBAEdHR2ora11nT9I5tFqmEvrYS6tg/sc63OVM2v9ejfoYJOUlISQkBDk5eUhKysLubm5\nxne63SkvLw+7d+9GWloaLly4gKioKCQmJkKlUgEAtm/fjtLSUmRnZ+PUqVPQ6/VISUkZ4N7Y1/Dh\nw9HV1YXy8nLcunUL3t7ePW44pFIpAgICUF1djfLycrS1tSE0NNT45oXAwECIxWLcvHkTN27cAACE\nhIQMZFfsinm0HubSephL6+A+x/r4IvdBrrCwEGVlZVi5ciWkUilGjhyJF198EdnZ2WZts7OzERsb\ni4iICHh6emLJkiUQBAF5eXnQ6XQ4cuQIli9fjuDgYPj6+mLFihU4e/Ys6uvr7dCzgScWiyEWi9HQ\n0AC9Xg+NRgOFQgGZTGbWViaToampCWq1Gnq9HgqFAkD3Rt4wv7GxEVqtFjqdDg0NDZBKpRCJRAPa\nJ3tgHq2HubQe5tI6uM+xDRZrg1xJSQlCQ0NNXp0VHh6O69evo62tzaRtUVERwsPDjZ8FQUBYWBgK\nCwtRUVGBlpYWhIWFGeePGTMGEokExcXFtu+IA5BIJNBoNCaXMlQqFTw9Pc3eVSqRSEwuiRjaSiQS\neHh4wM3NzXj0CHS/XFiv10Mikdi2Ew6AebQe5tJ6mEvr4D7HNlisDXJKpRK+vr4m0wyn9ZVKZZ9t\nZTIZlEollEolBEEwO8r09fU1HlUOdm5ubtBqtSbTDBv2u4+Ye2srEomMbe8ev6LVal3iyJt5tB7m\n0nqYS+vgPsc2XKVYc+kbDO5m+DLvPlq8V9t7zbdkOWQZZ/9DcxTMo/Uwl9bjqrnkPufHc5XfHZc9\nsyaXy82OQpqamiAIAvz9/S1qK5fLIZfLTcZmGDQ3N5stZ7Dq6cjY8Pnuo+ze2mq1WmPb3uYPdsyj\n9TCX1sNcWgf3ObbhKmfWXLZYmzx5MqqqqkxOPxcUFGDs2LHw8vIya3vnWACdToeSkhI8+OCDGDFi\nBGQymcn8srIyaDQaRERE2L4jDkCtVhvHoxhIJBJ0dnaa/YGo1Wqz8SlisRgqlco4LkYsFhvnGcbF\n3D0OZjBiHq2HubQe5tI6uM+xDRZrg1xYWBgiIyORnp6O1tZWXLt2DVlZWUhISAAAzJ49G19//TUA\nID4+Hjk5OcjPz4dKpUJGRgbEYjGioqLg5uaGuLg47NmzBzU1NVAoFNi+fTtmzpwJuVxuzy4OGLVa\nDZVKhcDAQAiCAA8PD/j5+Rk3SqNGjTJuwA1jMSQSCQRBMB4lGgbYNjU1ISAgAO7u7nBzc0NgYCBa\nWlpc4sibebQe5tJ6mEvr4D7HNlylWHPpMWs7d+5Eamoqpk2bBm9vb8THxyM+Ph4AUFFRgfb2dgDA\nk08+ieTkZKxYsQKNjY2IiIjAu+++C09PTwDAq6++ivb2dsTExECr1WL69OlYv3693fplD1VVVQgO\nDsbYsWOh0+mgVCrR1NQEACZH5e3t7WhoaMCwYcMgEomgUqlQWVlp/ENqaGjA0KFD8W//9m8AgLa2\nNtTW1tqnU3bAPFoPc2k9zKV1cJ9jfa7yQGWhqqrKIcrNYcOG2TuEQcEVB5gSEfWXs59pcSTV1dV2\nW/edjzjpS0lJiQ0jsS2XPrNGREREzstVim4Wa0REROSUWKwREREROTAWa0REREQOjMUaERERkQNj\nsUZERETkwFisERERETkwFmtEREREDozFGhEREZEDs+cbDK5cuYLf/e538PPzw+7du+/Z9siRI/jw\nww+hUCgwduxYLF++HOPHj7d4XS77blAiIiJybvZ6N+jp06exfv16jBgxos+2Fy9exAcffIC1a9fi\n6NGjePzxx5GSkgK1Wm3x+lisERERkVOyV7Gm0WiQkZGBiRMn9tn2o48+wuzZszFx4kR4enri+eef\nhyAIuHjxosXrY7FGRERETslexdozzzyDgIAAi9qWlZWZXPIUBAH3338/rly5YvH6OGaNiIiInJIz\n3GDQ3NwMHx8fk2k+Pj5oamqyeBks1oiIiMgp2apYy83NxZYtWyAIgsm6BEHAm2++iVmzZv2o5RuW\nZSmHKdaqq6vtHcKgUFVVZe8QiIgcHvc5g0NlZaVNlhsdHY3o6GirLEsmk5mdRWtpacGYMWMsXgbH\nrBERERHZyIQJE/Dtt98aP+t0OpSVlSEsLMziZbBYIyIiIvoBersMu2jRIhQVFQEAYmJi8Omnn6Kk\npARqtRoHDhyAp6cnHn/8cYvX4zCXQYmIiIicwQsvvIC6ujpotVrodDrMnDkTgiDgwIEDCAoKwq1b\nt9DR0QEAePTRR/Hyyy9jw4YNUCqVmDhxIt566y14enpavD6hqqrK8W+lICIiInJRvAxKRERE5MBY\nrBERERE5MBZrRERERA6MxRoRERGRA2OxRkREROTAWKwREREROTA+Z80CNTU12LFjB0pKSjBkyBBM\nnz4diYmJ9g7LKX3xxRf4/e9/j4cffhipqan2Dsdp1dbWYteuXcjPz4eHhwemTJmCpKQkSKVSe4fm\ndK5evYqMjAx8++23EIvFeOCBB5CUlAS5XG7v0JzWrl27cOTIEZw5c8beoTil6dOnw8PDA4IgGN8h\n+Z//+Z9ISkqyd2hkJzyzZoF169YhKCgIBw8eRHp6Os6fP49Dhw7ZOyync/DgQezatQsjRoywdyhO\nb82aNfDx8cGhQ4eQmZmJGzduYM+ePfYOy+loNBqsXLkSDz/8MHJycvCnP/0JCoUCO3bssHdoTuu7\n777Dp59+2q+XVJMpQRDw5z//GZ988gk+/fRTfPLJJyzUXByLtT5cuXIF5eXlSExMxJAhQxAaGorn\nnnsOJ06csHdoTsfT0xN79+7F8OHD7R2KU2ttbcWECRPwyiuvQCwWIzAwELNmzUJ+fr69Q3M6KpUK\nL7/8MhISEuDu7g6ZTIannnoK169ft3doTkmv1+MPf/gDFi5caO9QnJper+/1NUbkmlis9eG7775D\nSEiIyeWl8ePH4/vvv0d7e7sdI3M+sbGxGDJkiL3DcHre3t5YtWoV/Pz8jNPq6uowdOhQO0blnHx8\nfDBnzhy4uXVvCm/evIlTp05hxowZdo7MOR0/fhxisRg/+clP7B2K08vMzMTChQsxd+5cpKenG19d\nRK6JxVofmpub4ePjYzLN8Lm5udkeIRGZuHLlCo4dO4YXXnjB3qE4rdraWkRHR2Px4sUICwvD4sWL\n7R2S02lsbERWVhZ+/etf2zsUpzdp0iRMmTIFf/nLX7B7926UlJTw0ryLY7H2AxhOT3NMBtlbYWEh\nVq1ahcTERDz00EP2DsdpBQcHIzc3FwcOHMD333+PzZs32zskp5ORkYE5c+Zg5MiR9g7F6e3atQvP\nPPMM3N3dMXLkSLzyyiv47LPP0NXVZe/QyE5YrPVBJpOhqanJZFpLS4txHpG9XLx4EatXr0ZSUhLm\nz59v73AGhdDQULz00kv47LPPzP7uqXdfffUViouLsWjRIgDgeCsrCwkJgU6ng0KhsHcoZCcs1vow\nYcIE1NTUmFzyLC0txahRoyCRSOwYGbmyoqIibN26FRs3bkR0dLS9w3Fa33zzjdnlY0EQIAgC3N35\nZCNLnT59GgqFAnFxcYiJiUFiYiL0ej1++tOf8vEd/fTdd98hIyPDZFpFRQU8PDwQGBhop6jI3rg1\n6sO4ceMQFhaGd999F8uWLUN9fT0OHz7Mu53IbrRaLd5++2288soreOSRR+wdjlMbP3482tvbkZmZ\nicWLF6OjowMffPABIiMj+cy6fli+fDleeukl4+e6ujosX74c+/btg7e3tx0jcz7+/v44ceIE/P39\nsWDBAtTU1OC///u/MXfuXA69cWFCVVUVz1f3oaGhAW+//TYuX74MqVSKmJgY4+l+stzMmTMhCIJx\n3IVIJIIgCPjkk0/sHJlzKSgowIoVK+Dh4WF8YKbhvwcOHEBQUJC9Q3Qq169fx86dO3HlyhV4eXnh\nkUcewdKlSxEQEGDv0JxWTU0NEhISkJeXZ+9QnFJBQQEyMzNx/fp1eHp6Yvbs2ViyZAnP9rowFmtE\nREREDoxj1oiIiIgcGIs1IiIiIgfGYo2IiIjIgbFYIyIiInJgLNaIiIiIHBiLNSIiIiIHxmKNiIiI\nyIGxWCMiIiJyYCzWiIiIiBwYizUiIiIiB8ZijYiIiMiBsVgjIiIicmD/B/L+SEG3r07YAAAAAElF\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7bdc47a50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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2pm/fvixatIibN2/i4uLCwYMH8fX11fUwbNu2jVWrVjF8+HDefPNNHB0dycjIIDQ09KHr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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7bd9e6290>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"action_value_function_1 = lambda state, action: action_value_function(state, action, value_function_1, bridge_proba, gamma)\n",
"display_state_action_func(action_value_function_1)\n",
"plt.title(\"Action-value function for Default Policy\")\n",
"\n",
"action_value_function_2 = lambda state, action: action_value_function(state, action, value_function_2, bridge_proba, gamma)\n",
"display_state_action_func(action_value_function_2)\n",
"plt.title(\"Action-value function for Another Policy\")\n",
"\n",
"action_value_function_3 = lambda state, action: action_value_function(state, action, value_function_3, bridge_proba, gamma)\n",
"display_state_action_func(action_value_function_3)\n",
"plt.title(\"Action-value function for Some Other Policy\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"*Optimal value function* is defined as $v_*(s) = \\max_{\\pi} v_{\\pi}(s)$ for all $s \\in \\cal{S}$"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"vfs = [value_function_2, value_function_3, value_function_1]\n",
"\n",
"optimal = np.argmax([f[GRID_HEIGHT-1,0] for f in vfs])\n",
"\n",
"for x in range(GRID_WIDTH):\n",
" for y in range(GRID_HEIGHT):\n",
" vals = [f[GRID_HEIGHT-1-y,x] for f in vfs]\n",
" new_optimal = np.argmax(vals)\n",
" if optimal != new_optimal and vals[new_optimal] != vals[optimal] :\n",
" print(\"No optimal value function\")\n",
" break\n",
" if optimal != new_optimal:\n",
" break\n",
" \n",
"(vfs[optimal] == value_function_1).all()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Policy iteration\n",
"\n",
"### Greedy policy improvement\n",
"\n",
"We can improve the policy with a value function in *greedy* manner : $\\pi'(s) = \\text{argmax}_{a} q_{\\pi}(s, a)$. The greedy policy takes the action that looks best in the short term. We remark that the *greedy* policy becomes deterministic, it return one action for a given state."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def greedy_policy(state, action_value_func):\n",
" q_vals = [action_value_func(state, a) for a in ACTIONS]\n",
" max_index = np.argmax(q_vals)\n",
" return ACTIONS[max_index]"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def display_policy_arr(policy_arr):\n",
" sns.heatmap(GRID, cmap='gray')\n",
" for y in range(GRID_HEIGHT):\n",
" for x in range(GRID_WIDTH):\n",
" a = policy_arr[GRID_HEIGHT-1-y, x]\n",
" plt.text(x + 0.5, y + 0.5, \"%s\" % a, va='center', ha='center') "
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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xY8YMWFlZ4dChQ5DJZJg9ezbmz5+P9evXY8aMGbC1tcXbb7+NZs2aqd2Ztfzf\n2t/fH3v37sXHH3+MNWvWVLgJT2V5qjJ48GAoFApERkZiz549sLS0RI8ePTB37ly162/KP1/5TObm\n5tizZw82btyIFi1aYNq0aRX+Afby8sKhQ4d4KjcZhYbQixcvXkRaWhoGDhyocR0vLy9ERkbi119/\nhYODg8ZuKbs8KCgITZs2xfbt2/H48WPY2tqif//+mDx5smqdQYMG4cSJE1iyZAk8PDywZMmSKj/i\nT+m1116DqakpvvrqK3z11VcwNTWFm5sb1q1bV62jwZXlrm5fLlu2DKGhoVi7di0yMzPx3HPP4e23\n34a/v3+F56zs+c3NzREcHIytW7fin//8J0pKSuDq6org4GC1m5JZWFigX79+uHTpkurMKCJ9agj9\nBpTeTOvzzz/H/v37ER4ejkePHqGwsBD29vbo3r07PvnkEzg5OQEovZfMhg0bsG3bNsyaNQsFBQVo\n27Yt5s+fr3Zjq8r+FtVZtnTpUnzxxRfYuHEjHj9+DLlcDk9PT7VerIyDgwO2b9+O/fv3Y//+/diw\nYQMAoFWrVhg4cCDefvtttWuB3dzc8Morr2D//v04evQoDhw4oMpTXtllrVu3xsaNG7Fjxw4EBQWh\noKAATk5OmD59utrfuiZHoqu7rr+/PywtLfHtt99iy5YtaNy4MXr37o2pU6dqvHSy/PMHBQXB1tYW\nGzduRFZWFlq3bo1Fixapbg6ppPxcaN6VWz9kycnJ+t2tQgYTGRmJr7/+Gt98841O10NT3du0aROu\nXLmidmoNEekfe9G45ebmYvz48XjnnXcwatSo+o5DJBT2G+li/vz5kMlkWL58eX1HkYQGfyTaGD18\n+BBXrlzBl19+icDAQBapoIqLi5Geno7ffvsNP/zwg9p10g1ZamoqNmzYgD///BPW1tbw8vLC1KlT\nK133wIED+P777/HkyRM8//zzCAgIqPbHS1DDwl40bjk5OUhLS8Pnn38Oa2tr+Pr61nekesF+pMqw\n36i2CgsLkZ6ejh9//BEXLlzAjh076juSTkTqyAZ9TbSxGjt2LEJDQ/Huu+/yM94Elp6ejnfeeQff\nfvst5syZg169etV3JCEsWrQIDg4O2LdvH/79738jOjoa+/fvr7BeTEwMdu/ejQULFuDgwYNwd3fH\nvHnzKtzFlAhgLxq7gwcPYsqUKSgsLMSqVas0XqcudexHqgz7jWorMTER48aNw9mzZ7Fs2TK0a9eu\nviPpRKRwi7MAAAAgAElEQVSO5OncRGQwiYmJmD59On744QfVR2YcOnQIBw4cqHC31Hnz5sHJyUl1\nXZhCocCoUaMQEBAALy8vg2cnIqpL7EciIs1E60geiSYig7l58yZatmyp9pmTrq6uuHv3LnJyctTW\nvXHjhtppNzKZDM7OzkhMTDRYXiIiQ2E/EhFpJlpHchJNRAaTmZmpdhd44P8+kiIzM7Na62ZkZNRt\nSCKiesB+JCLSTLSOFObGYo6OjvUdQY2+P1CdGiZ9f6agPqSkpNT4Mdq2z9o8p5Lyb1SdbU6hUDTI\nbZP9SFLEftSO/agd+5GkSCr9CFS9jerSj0D9diSPRBORVgqFosqv6rK1ta2wFzArK0v1s+qsa2dn\nV8tXQUSkf+xHIiLN9NGPgHgdyUk0EWmlr0Fip06dkJqaqnbaTUJCAtq3bw8rK6sK616/fl31fUlJ\nCW7cuIHOnTvr/oKIiPSE/UhEpJm+JtGidSQn0USkVUlJSZVf1eXi4oLOnTtj+/btyMnJQVJSEr79\n9luMGDECADBhwgRcvXoVADBixAgcO3YMf/75J/Lz8xEREQELCwu4u7vXyWskIqoN9iMRkWb66EdA\nvI4U5ppoIhJXTYuuKosXL8a6devg5+cHGxsbjBgxQlWA9+/fR25uLgCgd+/emDJlChYvXoynT5/C\nzc0Nq1evhoWFhd6yEBHpiv1IRKSZVDtSmM+J5o0hSIqkcmOIZs2aVfnzx48f1zYOVQP7kaSI/Uj6\nwH4kKZJKPwJVd6Qx9yOPRBORVvrci0hEJCXsRyIizaTakZxEE5FWUi1AIiJdsR+JiDSTakdyEk1E\nWol4WhERkQjYj0REmkm1IzmJJiKtpLoXkYhIV+xHIiLNpNqRnEQTkVZSLUAiIl2xH4mINJNqR3IS\nTURaSfVUHCIiXbEfiYg0k2pHchJNRFpJdS8iEZGu2I9ERJpJtSM5iSYiraRagEREumI/EhFpJtWO\n5CSaiLSS6qk4RES6Yj8SEWkm1Y7kJJqItJLqXkQiIl2xH4mINJNqR3ISTURaSXUvIhGRrtiPRESa\nSbUjOYkmIq207UU0MTExUBIiIrGwH4mINKuqI425HzmJJiKtOEgkIqoc+5GISDNOoomowZLqqThE\nRLpiPxIRaSbVjuQkmoi0kupNIYiIdMV+JCLSTKodabzH0MsoKirCpk2bMHToUPTo0QM9e/bEu+++\niwsXLhgsQ9u2bfHcc8+pLbO0tISLiwtsbGzUltvZ2aFjx44NKo+ImUTLU54I72ulkpKSKr9ILH5+\nfli3bp3asmvXrsHNzQ0nTpxQWx4eHg5PT886zSPitiZaJtHyiJqpLFE6kv1oXNiPxpdJtDyiZipL\nlH4Equ5IYyaJSfTKlStx+vRpbNmyBZcuXUJ0dDQ8PDwwefJk3L9/3yAZsrOzYW1trbbM2toaJSUl\nFTYma2trZGdnN6g8ImYSLU95IryvlRQKRZVfJBZPT0/ExMSoLYuJiYGNjU2F5bGxsXU+SBRxWxMt\nk2h5RM1UligdyX40LuxH48skWh5RM5UlSj8CVXekMZPEJDomJgY+Pj5wdnaGTCaDtbU1PvjgAyxb\ntgwWFhYGyZCdnQ1LS0u1C+Stra2RmZlZYSNr1KiRQQpHpDwiZhItT3kivK+VeKTFuHh6eiIxMRGP\nHz9WLYuNjcXIkSPVBonFxcU4f/68QQaJom1romUSLY+omcoSpSPZj8aF/Wh8mUTLI2qmskTpR4BH\noivIyclBamoqHjx4gLy8PH1mqrEOHTrgu+++Q2Jiotry4cOHo3nz5gbJkJeXh5KSErUNp1GjRnj6\n9CnMzMxgZlZ6+bmVlRVMTEyQk5PToPKImEm0POWJ8L5W4iCxZuq7H3v06AEbGxvExcUBAAoKCnD5\n8mX4+/sjNTUVqampAIArV64gNzcX/fr1q9M8Im5romUSLY+omcoSpSPZjzXDflQn4nYmWibR8oia\nqSxR+hGQ7iS6xjcW279/Pw4fPoy7d++qLW/fvj1GjBiBESNG6C1cdS1cuBBBQUEYOXIkHB0d8fLL\nL2PAgAHw9vY26N6WnJwc2NjY4NmzZ2jUqBGKiopQWFiI3Nxctb1Tyg2voeURMZNoecoS5X0NSPfO\nivomSj+amprCw8MDZ8+exbBhw3Dx4kU4ODigbdu26N69O2JiYuDn54fY2Fh07doVTZo0qfNMIm5r\nomUSLY+omZRE6Uj2Y/WwHzUTcTsTLZNoeUTNpCRKPwLS7cgaTaJDQ0MRHR2NUaNGwdXVFXK5HAqF\nAllZWUhISMA333yDjIwM+Pv711XeSjk6OuLrr7/GX3/9hdjYWPz+++/49NNPsWnTJkRERMDBwcEg\nObKzs2Fvbw+g9JQO5V6nnJwctY3JUKd0iJZHxEyi5SlLlPc1YLg7K2ZlZSE4OBjx8fEwNTVFnz59\nEBgYqLHwz5w5g927dyM5ORnNmzfH6NGjMXz4cINkLU+0fvT09ERISAiA0lMVPTw8AAAeHh5qg8S6\nPlVRScRtTbRMouURNZOSKB1pyMGxsXYk+7FqIm5nomUSLY+omZRE6UdAumPIGp3OferUKaxatQq+\nvr5wc3ND69at0aZNG3Tu3Bl+fn5YuXIlfvjhh5o8pV49//zzGD9+PDZt2oQTJ06goKAA4eHhBvv9\nOTk5MDMzg7m5udrGpNwjJZPJYGVlZbCNSbQ8ImYSLU9l6vt9DRjudMW1a9ciPz8f4eHhCA0NRVJS\nEkJDQytdNzExEcuXL8ekSZPw008/ISAgABs3bsTVq1f1lqcmROvH/v37IzU1Fbdv30ZcXJxqkOju\n7o64uDjk5uYiPj7eYINEEbc10TKJlkfUTOXVd0ca8nRuY+1I9mPVRNzORMskWh5RM5VX3/0IGO50\nbkP3Y40m0Tk5OWjatKnGnzdv3tzgb5QHDx5g8eLFFX6vvb09OnXqhNzcXINlKSoqQkFBAWxsbGBp\naanamPLy8iCTydCkSROUlJQgPz+/QeYRMZNoeZREel8Dhrn77JMnTxAdHY0pU6ZALpfD3t4e/v7+\niIqKQnFxcYX1MzMzMX78ePTt2xcmJibo06cPOnbsiCtXruglT02J1o8tWrSAs7Mzzpw5g4SEBPTp\n0wcA0LVrV+Tn5+PgwYOQy+Xo1q2bQfKIuK2Jlkm0PKJmAsTqSEPdnduYO5L9WDURtzPRMomWR9RM\ngFj9CBjm7tz10Y81mkR36dIF27Ztq7ToMjMzERISgu7du9fkKXXWrFkzxMTEYPbs2fjvf/8LhUKB\nvLw8HD58GOfOncNrr71m0DzZ2dmws7NDQUGB2h6W3NxcNG3a1OA3FhAtj4iZRMsDiPe+NsSRllu3\nbsHU1BQdOnRQLXN1dUVOTg7u3LlTYf3evXtjwoQJqu+Li4uRnp5u8BtmKInYj6+88gr27t0LFxcX\n2NnZAQBMTEzQq1cv7N69G3379jVoHhG3NdEyiZZH1EwidaShjkQbc0eyH7UTcTsTLZNoeUTNJFI/\nAoY5El0f/Vija6JnzJiBRYsWYcSIEWjZsiXkcjkAICMjA6mpqejcuTMWL15ck6fUmbm5OSIiIrB5\n82ZMmjQJT548gYmJCTp37ozg4OB6KcGmTZviyZMnasuVNx9IT09v0HlEzCRaHkC897UhrmfJzMxE\n48aN1ZaV7RhtQkND0ahRI3h5edVJPm1E7Mf+/fsjLCwM7733ntpyd3d3/PrrrwgICDBoHhG3NdEy\niZZH1EwidaShrvcz5o5kP2on4nYmWibR8oiaSaR+BKQ7hpQlJyfX+Fh6YmIibt68iczMTACAra0t\nOnXqBBcXl5o+lYqjo2OtH1sXZDJZfUcgCRDxjoQpKSl6f0x1t9/jx49jxYoVatuXQqGATCbDpEmT\n8O233+K7775T/ay4uBiDBg3Chg0b8NJLL2l83tDQUBw/fhwbNmxAmzZtqpWlrrAfiaqH/ViR1DuS\n/UhUPVLpR22PM+Z+rPFHXAGAm5sb3NzcavNQIjJC+tqL6O3tDW9v70p/duHCBTx79kxViABUAy3l\nqXblKRQKrFq1CtevX8fWrVvRokULveTUBfuRqGHR51EWqXck+5Go4ZHqGLJG10QTUcNkiGv+XFxc\noFAocOvWLdWyhIQEyOVyODk5VfqYzZs3IykpCVu2bKn3wSERNUyGuiaaHUlExkiq/chJNBFpZYi7\nz9ra2mLAgAHYuXMnMjIykJaWhoiICPj4+MDEpLSqgoKCcPr0aQDAH3/8gRMnTmDVqlUVroMhIjIU\nQ92dmx1JRMZIqv1Yq9O5iahhMdSNc4KCghAcHIyxY8fCzMwM3t7emDRpkurnKSkpePbsGQDg6NGj\nyM7OxpgxY9Seo1u3bli7dq1B8hIRGaofAXYkERkfqY4ha3VjsbrAG0OQFEnlxhC3b9+u8ucdO3as\nbRyqBvYjSRH7kfSB/UhSJJV+BKruSGPuRx6JJiKtRCxzIiIRsB+JiDSTakdyEk1EWhnydEUiImPC\nfiQi0kyqHclJNBFpJdW9iEREumI/EhFpJtWO5CSaiLSS6l5EIiJdsR+JiDSTakdyEk1EWkm1AImI\ndMV+JCLSTKodyUk0EWkl1VNxiIh0xX4kItJMqh3JSTQRaSXVvYhERLpiPxIRaSbVjuQkmoi0kmoB\nEhHpiv1IRKSZVDuSk2gi0kqqp+IQEemK/UhEpJlUO5KTaCLSSqp7EYmIdMV+JCLSTKodyUk0EWkl\n1QIkItIV+5GISDOpdiQn0USklVRPxSEi0hX7kYhIM6l2JCfRRKSVVPciEhHpiv1IRKSZVDuSk2gi\n0kqqBUhEpCv2IxGRZlLtSE6iiUgrqZ6KQ0SkK/YjEZFmUu1ITqI1kOp/cKLakOpeRKod9iPR/2E/\nUlnsRyJ1Uu1ITqKJSCupFiARka7Yj0REmkm1IzmJJiKtuGediKhy7EciIs2k2pGcRBORVlLdi0hE\npCv2IxGRZlLtSE6iiUgrqRYgEZGu2I9ERJpJtSM5iSYirQx1Kk5WVhaCg4MRHx8PU1NT9OnTB4GB\ngbCwsKjycbm5ufD398fLL7+MOXPmGCQrERFg2FMV2ZFEZGykOoY00TUwEUlfSUlJlV/6snbtWuTn\n5yM8PByhoaFISkpCaGio1sft2rULeXl5estBRFRdhupHgB1JRMZHqv3ISTQRaaVQKKr80ocnT54g\nOjoaU6ZMgVwuh729Pfz9/REVFYXi4mKNj/vrr79w8uRJDB06VC85iIhqwhD9CLAjicg4SbUfOYkm\nIq0McaTl1q1bMDU1RYcOHVTLXF1dkZOTgzt37mh83Pr16zF58mTY2NjoJQcRUU0Y6kg0O5KIjJFU\n+5GTaCLSyhCDxMzMTDRu3FhtmVwuBwBkZGRU+phDhw7BxMSER1iIqN4YahLNjiQiYyTVfuSNxYhI\nK32dcnP8+HGsWLECMplM7bllMhkmTZqk8XFl11d68uQJdu3ahfXr1+slGxFRbejzlER2JBFJjVTH\nkJxEE5FW+tpb6O3tDW9v70p/duHCBTx79kxViEDpnkUAsLOzq7B+SEgIhg4divbt2+slGxFRbejz\naAo7koikRqpjSE6iiUgrQ3zGn4uLCxQKBW7dugUXFxcAQEJCAuRyOZycnCqsf+LECcjlchw5cgQA\nkJ+fj5KSEsTGxuL777+v87xERIDhPgOVHUlExkiqY0hOoolIK0N8xp+trS0GDBiAnTt3Yt68ecjP\nz0dERAR8fHxgYlJ6+4agoCD4+vri1Vdfxf79+9UeHxkZiYcPH2L69Ol1npWISMlQn4HKjiQiYyTV\nMSQn0USklaGOtAQFBSE4OBhjx46FmZkZvL291a5zSUlJQVZWFgDgueeeU3ustbU1rKysYG9vb5Cs\nRESA4foRYEcSkfGR6hhSlpycbJhdqFo4OjrWdwSiBiElJaXGjym/x668UaNG1TYOVQP7kcgw2I/G\nh/1IZBi16Ueg6o405n7kkWgi0spQpysSERkb9iMRkWZS7UhOoolIK0OerkhEZEzYj0REmkm1IzmJ\nJiKtpFqARES6Yj8SEWkm1Y7kJJqItJLqqThERLpiPxIRaSbVjjT6SfTAgQORlpYGU1NT1TLlB22v\nXLkSw4YNa/CZRMsjYiYR85SUlCAqKgpWVlaq5b///jvmzp2LkydPGjSPVPciSpWfnx/69u2LWbNm\nqZZdu3YNb731FrZs2YJBgwaploeHh2PHjh347bffDJJNtG1NxEyi5RElk6jva/ajcRHtfSRanvJE\n2PZFziNiJo4hDcPoJ9EAsGjRIowePbq+Y6gRLZNoeQDxMomWp6CgAFu3bsXMmTPVlstkMoNnkWoB\nSpWnp2eFQVZMTAxsbGwQExOjNiiLjY2Fp6enQfOJtq0B4mUSLQ9Q/5lEfV+zH42LaO8j0fJUpr63\n/fJEywOIl4ljyLpnUt8B9EHE0wREyyRaHkC8TKLl+eijj7B3714kJSXVdxQoFIoqv0gsnp6eSExM\nxOPHj1XLYmNjMXLkSMTExKiWFRcX4/z58wYflIn4nhEtk2h5gPrPJOr7mv1oXER7H4mWpzKivY9F\nywOIl8lYxpDGTBKTaCIpcnZ2xpgxY7BkyZL6joKSkpIqv0gsPXr0gI2NDeLi4gCU7pG+fPky/P39\nkZqaitTUVADAlStXkJubi379+tVnXKJqEfV9zX40LqK9j0TLQ9JgLGNIYyaJSfTSpUvx0ksvqb66\ndesGDw8PZhI4j4iZRMsDAAEBAbhx4wZOnDhRrzk4SDQupqam8PDwwNmzZwEAFy9ehIODA9q2bYvu\n3burjm7Exsaia9euaNKkiUHzibitiZZJtDwiZBL1fc1+NC6ivY9Ey1OZ+t72Rc8jaiZjGEMaM71f\nEz1kyBD8/PPP+n7aKol2HQIgXibR8gDiZRItDwA0btwYs2bNwooVK9C/f/96y2Hsp9yIwpD96Onp\niZCQEAClgy/lP+YeHh6IiYmBn58fr68rQ7RMouUBxMgk4vua/agfDbkfRctTngjbflmi5QHEzMQx\nZN3S+5Ho+vhDifgfR7RMouUBxMskWh6lESNGwNHREdu2bau3DDzSoh+GfI/1798fqampuH37NuLi\n4lSDMnd3d8TFxSE3Nxfx8fG8vu7/Ey2TaHkAMTKJ+L5mP+pHQ+5H0fKUJ8K2X5ZoeQAxMwHijyGN\nWY2ORC9dulTrOsXFxbUOQ0SVW7hwIcaOHYtWrVrVy+839qIzBNH6sUWLFnB2dsaZM2eQkJCAPn36\nAAC6du2K/Px8HDx4EHK5HN26dTNYJiJdifi+Zj9qx340rjwkLRxD1o0aTaIvXboEJyenevuPQNRQ\nubm5wc/PDxs3boSFhYXBf7+oe1hFImI/vvLKK9i7dy9cXFxgZ2cHADAxMUGvXr2we/du9O3bt54T\nEtWcaO9r9qN27Efjy0PSwTFk3ajRJHrevHnYsmULVq1aBWtr60rXOXXqlF6C1cTSpUuxYsUK1ffK\nDzgfPnw4li9fbvA8ImYSLY+ImUTKU9nn+AUGBuLo0aP8jD9BidiP/fv3R1hYGN577z215e7u7vj1\n118REBBg0DxKIm1romYSLY9ImUR7X7MftWM/Gl+eskTZ9kXNI1omjiENQ5acnFyj3QP79u2DhYUF\n/Pz8Kv354MGDcezYsRoHcXR0rPFjiKjmUlJSavyYzZs3V/nzjz76qLZxJIX9SGTc2I91h/1IZNxq\n049A1R1pzP1Y47tzv/POO1X+vDYFSERik+peRH1jPxI1POzH6mE/EjVMUu1IvX/EFRFJj1QLkIhI\nV+xHIiLNpNqRnEQTkVZSvSkEEZGu2I9ERJpJtSM5iSYiraS6F5GISFfsRyIizaTakZxEE5FWUi1A\nIiJdsR+JiDSTakdyEk1EWhnqVJysrCwEBwcjPj4epqam6NOnDwIDAzV+rmF6ejqCg4Nx8eJFWFtb\nY9iwYZg8ebJBshIRAYY9VZEdSUTGRqpjSBN9BSci6SopKanyS1/Wrl2L/Px8hIeHIzQ0FElJSQgN\nDdW4/qeffopWrVrh+++/x6ZNm3Dx4kVcvnxZb3mIiLQxVD8C7EgiMj5S7UdOoolIK0MMEp88eYLo\n6GhMmTIFcrkc9vb28Pf3R1RUFIqLiyusHx8fj5SUFEydOhVWVlZo06YNPv/8c/To0UMveYiIqsNQ\nk2h2JBEZI6n2IyfRRKSVQqGo8ksfbt26BVNTU3To0EG1zNXVFTk5Obhz506F9a9evYqOHTviiy++\nwIgRIzBu3DhERkbqJQsRUXUZoh8BdiQRGSep9iMn0USklSGOtGRmZqJx48Zqy+RyOQAgIyOjwvoP\nHz7EtWvX0KxZM0RGRiIwMBBffPEFzp49q5c8RETVYagj0exIIjJGUu1H3liMiLTSV9EdP34cK1as\ngEwmUy1TKBSQyWSYNGmSxseVXb/s4+zs7DB69GgAQJ8+feDp6YlTp06hX79+eslLRKSNPgeC7Egi\nkhqpjiE5iSYirfR1yo23tze8vb0r/dmFCxfw7NkzVSECpXsWAcDOzq7C+s2aNauw17Fly5ZISEjQ\nS1YiourQ5ymJ7EgikhqpjiF5OjcRaWWI0xVdXFygUChw69Yt1bKEhATI5XI4OTlVWL99+/ZITk5G\nXl6eallqaipatmyplzxERNVhqNO52ZFEZIyk2o+cRBORVoYYJNra2mLAgAHYuXMnMjIykJaWhoiI\nCPj4+MDEpLSqgoKCcPr0aQCAh4cH5HI5tm3bhry8PFy6dAlnz57F66+/rpc8RETVYahJNDuSiIyR\nVPuRk2gi0spQd58NCgqCjY0Nxo4di8mTJ6NLly5q17mkpKQgKysLAGBpaYk1a9bgr7/+wogRI7B6\n9WoEBQWha9euestDRKSNofoRYEcSkfGRaj/KkpOT9fsKasnR0bG+IxA1CCkpKTV+zNy5c6v8+apV\nq2obh6qB/UhkGOxH48N+JDKM2vQjUHVHGnM/8sZiRKSVPk+5ISKSEvYjEZFmUu1ITqKJSCt9n3JD\nRCQV7EciIs2k2pGcRBORVlLdi0hEpCv2IxGRZlLtSE6iiUgrqRYgEZGu2I9ERJpJtSM5iSYiraR6\nKg4Rka7Yj0REmkm1IzmJ1kAmk9V3BJIAqRSHVPciUu2wH0kf2I8kRexH0gep9CMg3Y7kJJqItJJS\nmRMR6RP7kYhIM6l2JCfRRKSVVPciEhHpiv1IRKSZVDuSk2gi0kqqBUhEpCv2IxGRZlLtSE6iiUgr\nqZ6KQ0SkK/YjEZFmUu1ITqKJSCup7kUkItIV+5GISDOpdiQn0USklVQLkIhIV+xHIiLNpNqRnEQT\nkVZSPRWHiEhX7EciIs2k2pGcRBORVlLdi0hEpCv2IxGRZlLtSE6iiUgrqRYgEZGu2I9ERJpJtSM5\niSYiraR6Kg4Rka7Yj0REmkm1IzmJJiKtpLoXkYhIV+xHIiLNpNqRnEQTkVZSLUAiIl2xH4mINJNq\nR3ISTURaSfVUHCIiXbEfiYg0k2pHchJNRFpJdS8iEZGu2I9ERJpJtSM5iSYirQxVgFlZWQgODkZ8\nfDxMTU3Rp08fBAYGwsLCotL1v/vuOxw8eBDp6el47rnn8Oabb8LPz88gWYmIAMMOENmRRGRspDqG\nNNFXcCKSLoVCUeWXvqxduxb5+fkIDw9HaGgokpKSEBoaWum6cXFxCA0NxYIFC3DkyBHMmzcP27dv\nx7lz5/SWh4hIG0P1I8COJCLjI9V+5CSaiLQqKSmp8ksfnjx5gujoaEyZMgVyuRz29vbw9/dHVFQU\niouLK6x/48YNdOzYEW5ubgCAzp07o2PHjrh586Ze8hARVYch+hFgRxKRcZJqP3ISTURaGWKQeOvW\nLZiamqJDhw6qZa6ursjJycGdO3cqrN+7d28kJSUhPj4eRUVFuHbtGu7cuYPevXvrJQ8RUXUYahLN\njiQiYyTVfuQ10USklSHurJiZmYnGjRurLZPL5QCAjIyMCuu7ubnhww8/xKxZs1BSUgJTU1NMmzYN\nrq6udZ6ViEjJUHeeZUcSkTGS6hjS6I9EDxw4EK+++iry8vLUlv/+++8YOHCgwXK0bdsWzz33nNoy\nS0tLuLi4wMbGRm25nZ0dOnbs2KDyiJhJtDxlifK+VtLXkZbjx4/Dy8sLAwcOVH0pv09NTdX4OJlM\nVmHZ5cuXsWPHDqxduxY///wz1q9fj4iICJw9e7ZWr1FK/Pz8sG7dOrVl165dg5ubG06cOKG2PDw8\nHJ6ennWaR8RtTbRMouURNZOSSB2pzyPR7Mi6x340vkyi5RE1k5JI/Qjo70i0aP0oiSPRBQUF2Lp1\nK2bOnKm2vLI/Wl3Jzs6usNFYW1ujpKQENjY2yM7OVlte9vuGkEfETKLlKU+E97WSvvYient7w9vb\nu9KfXbhwAc+ePYNCoVC9xszMTACl/wCVd+jQIfTv3x89evQAALz44ot47bXXcOTIEfTr108veY2V\np6cnfvvtN7VlMTExsLGxQUxMDAYNGqRaHhsbW+eDRBG3NdEyiZZH1ExlidKR+jzKwo6se+xH48sk\nWh5RM5UlSj8C0h1DGv2RaAD46KOPsHfvXiQlJdVbhuzsbFhaWsLE5P/+pNbW1sjMzIS1tbXauo0a\nNTJI4YiUR8RMouUpT4T3tZIhrvlzcXGBQqHArVu3VMsSEhIgl8vh5ORUYf3i4uIKv7uwsFAvWYyd\np6cnEhMT8fjxY9Wy2NhYjBw5EjExMaplxcXFOH/+vEEGiaJta6JlEi2PqJnKEqUjDXVNNDtSP9iP\nxpdJtDyiZipLlH4EDHNNdH30o94n0Wlpafp+Sq2cnZ0xZswYLFmyxOC/WykvLw8lJSVqG06jRo3w\n9OlTmJmZwcys9KC/lZUVTExMkJOT06DyiJhJtDzlifC+VjLEINHW1hYDBgzAzp07kZGRgbS0NERE\nRMDHx0f1j1RQUBBOnz4NAOjXrx9+/fVX/PHHHygpKUFiYiJOnTqF/v376yVPXTBUP/bo0QM2NjaI\ni00NCJcAAA7ySURBVIsDULpH+vLly/D390dqaqrqtKcrV64gNze3zo9KibitiZZJtDyiZipLlI40\n1CRa6h3JfhRnOxMtk2h5RM1Ulij9CBhmEl0f/VijSXR2djbWrVuHCRMmICgoCJcvX66wzoQJE2ry\nlHoTEBCAGzduVLiexZBycnJUp3Y0atQIRUVFKCwsRG5urmojs7a2Vm14DS2PiJlEy1OeCO9rwHCf\ngxoUFAQbGxuMHTsWkydPRpcuXTBp0iTVz1NSUpCVlQUAGDJkCN5//32sWbMGPj4+WL58OcaPH48h\nQ4boLU9NiNSPpqam8PDwUF3bc/HiRTg4OKBt27bo3r276mhLbGwsunbtiiZNmtR5JhG3NdEyiZZH\n1ExlidCRhvycaGPtSPZj1UTczkTLJFoeUTOVJUI/Aob7nGhD92ONronevHkz/ve//8HPzw9paWmY\nN28epk6dipEjR6rWMdRdKstr3LgxZs2ahRUrVtTbXtbs7GzY29sDKN1olHudcnJy1E7xMNQpHaLl\nETGTaHnKE+F9DcBg5W9jY4OFCxdq/PnXX3+t9r2fnx/8/PzqOla1iNaPnp6eCAkJAVA6GPTw8AAA\neHh4ICYmBn5+fga53k9JxG1NtEyi5RE1U1kidKQhB8fG2pHsx6qJuJ2Jlkm0PKJmKkuEfgSkO4as\n0ZHo8+fPY9myZRg5ciSmTp2KDRs2YNeuXTh+/Lhqnfq4YF1pxIgRcHR0xLZt2+rl9+fk5MDMzAzm\n5uZqG5Nyj5RMJoOVlZXBNibR8oiYSbQ8lanv9zVguNMVjZlo/di/f3+kpqbi9u3biIuLUw0S3d3d\nERcXh9zcXMTHxxtskCjitiZaJtHyiJqpvPruSPajduzHqom4nYmWSbQ8omYqr777ETDM6dz1oUaT\n6MLCQtVnbgGln7G1fPlybNiwARcvXgRQf0eilRYuXIhdu3ZV+sHada2oqAgFBQWwsbGBpaWlamPK\ny8uDTCZDkyZNUFJSgvz8/AaZR8RMouXRpD7f14BhT1c0VqL1Y4sWLeDs7IwzZ84gISEBffr0AQB0\n7doV+fn5OHjwIORyObp162aQPCJua6JlEi2PqJkqU58dyX7Ujv1YNRG3M9EyiZZH1EyVEXkMacxq\nNIl+6aWXsHHjRjx9+lS1rGvXrliwYAEWL16Mw4cP1+uRaKC0mP38/LBx48Z6+f3Z2dmws7NDQUGB\n2h6W3NxcNG3a1OA3FhAtj4iZRMtTmfp+X/NIi3Yi9uMrr7yCvXv3wsXFRfURDyYmJujVqxd2796N\nvn37GjSPiNuaaJlEyyNqpvLqsyPZj9qxH7UTcTsTLZNoeUTNVJ7IY0hjVqNJ9PTp03H9+nVs375d\nbXnfvn2xYsUKfPvttwb/+ITKSjcwMBDFxcX1MqHPzs6Gubl5hY0mJycH5ubmBj+lQ7Q8ImYSLQ8g\n3vuag0TtROzH/v374969e3B3d1db7u7ujrt37xr8GikRtzXRMomWR9RMInUk+1E79qN2Im5nomUS\nLY+omUTqR0C6k2hZcnJyjY+lP3v2DI0bN66wvLi4GNeuXavV6S+Ojo41fkxdqu8j6iQNIp6qkpKS\nUuPHaLsu7LfffqttHMlhPxJVD/ux4WE/ElWPVPoRqLojjbkfa3R3bqXKChAo/dgAQ10/QkSGY+x7\nCw2J/UjUsLAfq4/9SNTwSLUjazWJJqKGRaoFSESkK/YjEZFmUu1ITqKJSCsRTysiIhIB+5GISDOp\ndiQn0USklVT3IhIR6Yr9SESkmVQ7kpNoItJKqgVIRKQr9iMRkWZS7UhOoolIK6meikNEpCv2IxGR\nZlLtSE6iiUgrqe5FJCLSFfuRiEgzqXYkJ9FEpJVUC5CISFfsRyIizaTakZxEE5FWUj0Vh4hIV+xH\nIiLNpNqRnEQTkVZS3YtIRKQr9iMRkWZS7UhOoolIK6kWIBGRrtiPRESaSbUjOYkmIq2keioOEZGu\n2I9ERJpJtSM5iSYiraS6F5GISFfsRyIizaTakZxEE5FWUt2LSESkK/YjEZFmUu1ITqKJSCup7kUk\nItIV+5GISDOpdiQn0USklSELMDExEUuXLoWdnR22bt1a5boHDhzA999/jydPnuD5559HQEAAXF1d\nDZSUiMjwA0R2JBEZE6mOIU10DUtE0qdQKKr80pcTJ07gs88+g5OTk9Z1Y2JisHv3bixYsAAHDx6E\nu7s75s2bh/z8fL3lISLSxlD9CLAjicj4SLUfOYkmIq1KSkqq/NKXwsJChISEwM3NTeu6P/74I4YO\nHQo3NzdYWFjgnXfegUwmQ0xMjN7yEBFpY6h+BNiRRGR8pNqPnEQTkVaGGiS+/vrrsLe3r9a6N27c\nUDvtRiaTwdnZGYmJiXrLQ0SkjSEn0exIIjI2Uu1HXhNNRFqJeGfFzMxMyOVytWVyuRwZGRn1lIiI\nGiIR+xFgRxKRGETsSH30ozCT6JSUlPqOoCY5Obm+I5AEiPa+rq179+7p5XmOHz+OFStWQCaTqZYp\nFArIZDLMmTMHQ4YM0en5lc8lNaK9j9iPpA+iva9rS1/9CLAja0O09xH7kfRBtPe1LqQ6hhRmEk1E\n0uft7Q1vb2+9PJetrW2FPYZZWVno2LGjXp6fiMjQ2JFERJUTrR95TTQRGaVOnTrh+vXrqu9LSkpw\n48YNdO7cuR5TERGJgR1JRFQ5ffQjJ9FEJBxN18/4+/vj6tWrAIARI0bg2LFj+PPPP5Gfn4+IiAhY\nWFjA3d3dkFGJiAyOHUlEVDlD9SNP5yYiYUyYMAFpaWkoLi5GSUkJBg8eDJlMhoiICDg4OODevXvI\nzc0FAPTu3RtTpkzB4sWL8fTpU7i5uWH16tWwsLCo51dBRFQ32JFERJUzdD/KkpOTxbtlGhERERER\nEZGAeDo3ERERERERUTVxEk1ERERERERUTZxEExEREREREVUTJ9FERERERERE1cRJNBEREREREVE1\ncRJNREREREREVE2S+Zzo1NRUbNiwAX/++Sesra3h5eWFqVOn1mum33//HStXrkTPnj2xcOHCes0C\nAA8ePMCWLVtw5coVmJub429/+xs++ugj2NjY1EueW7duISQkBNevX4elpSVeeuml/9fevYREuQZg\nHH++k6NlDmaZSZK0SZEgKGkbVNhFEisqQSgEa4aSgVok0aJFELRQKpisCbphgWARhYvGsjbRLiq7\nDQw0lRCTRUMWGnSZszjoyW4znjy+78z8fxuZz4UPKH94mW/85PP5NH36dCN7vuX3+3Xx4kXdvHnT\n6I6lS5fK5XLJcRzF43E5jqM1a9bI5/MZ3YXUQh8To49jY0Mj6SPGA31MzLY+SnY3kj5mhrR5J3rf\nvn0qKipSR0eHWltbdevWLXV2dhrb09HRIb/frzlz5hjb8L29e/fK7Xars7NTgUBAz54907Fjx4xs\n+fTpk3bv3q1Fixbp8uXLOn36tGKxmA4fPmxkz7fC4bC6u7vlOI7pKXIcR+fOnVMwGFR3d7eCwSAB\nxJjRx8ToY/JsaSR9xHigj4nZ1EfJ7kbSx8yRFofoUCikp0+fyuv1Kjc3VyUlJdq4caO6urqMbcrO\nztbx48c1e/ZsYxu+9eHDB5WXl8vj8SgnJ0eFhYVauXKl7t+/b2TPx48ftW3bNtXX1ysrK0v5+fla\nsmSJIpGIkT3D4vG4Dh06pLq6OqM7hsXjccXjcdMzkMLoY2L0MXk2NZI+4k/Rx8Rs66NkbyPpY2ZJ\ni0N0OBxWcXHxqNtKysrK1NfXp8HBQSOb1q9fr9zcXCM/+2fy8vLU3NysadOmjVzr7+/XzJkzjexx\nu92qrq7WX3/98yf44sULXb16VcuWLTOyZ9iVK1eUk5Oj5cuXG93xrUAgoLq6OtXU1Ki1tVVDQ0Om\nJyGF0MfE6GPybGskfcSfoI+J2dZHyd5G0sfMkhaH6IGBAbnd7lHXhl8PDAyYmGS9UCikS5cuafPm\nzUZ3vHr1SlVVVWpoaFBFRYUaGhqMbXn79q3OnDmjXbt2Gdvwvfnz52vx4sU6f/68jh49qsePH1tx\nuxJSB30cO/r4c7Y1kj7iT9HHsbOlj5JdjaSPmSctDtE/M3wLg+nPJNjowYMHam5ultfr1cKFC41u\nmTVrlq5du6b29nb19fXpwIEDxra0tbWpurpapaWlxjZ8z+/3a/Xq1crKylJpaak8Ho96enr0+fNn\n09OQwujjr9HHX7OtkfQR/wf6+Gs29VGyq5H0MfOkxSE6Pz9f7969G3Xt/fv3I9/Dv27fvq09e/bI\n5/Np3bp1pueMKCkpUWNjo3p6en74XU6EO3fu6NGjR9qyZYskWfs5kuLiYn39+lWxWMz0FKQI+pg8\n+vhrqdBI+oixoo/Js7WPkvlG0sfMlBaH6PLyckWj0VG33jx58kRz587V5MmTDS6zy8OHD3Xw4EHt\n379fVVVVRrfcvXv3h1uBHMeR4zjKypr4J69dv35dsVhMmzZtUm1trbxer+LxuNauXWvsEQXhcFht\nbW2jrj1//lwul0uFhYVGNiH10Mfk0Mffs62R9BHjgT4mx6Y+SvY1kj5mprR4TvS8efNUUVGhEydO\naMeOHXr9+rUuXLhgxX/Hs8WXL1/U0tIij8ejyspK03NUVlamwcFBBQIBNTQ0aGhoSGfPntWCBQuM\nPHewqalJjY2NI6/7+/vV1NSkkydPKi8vb8L3SFJBQYG6urpUUFCgDRs2KBqN6tSpU6qpqeE2MySN\nPiZGHxOzrZH0EeOBPiZmWx8l+xpJHzOT8/LlS/vuOfgP3rx5o5aWFt27d09Tp05VbW3tyG0VJqxY\nsUKO44x89mDSpElyHEfBYNDInt7eXu3cuVMul2vkoevDX9vb21VUVDThmyKRiI4cOaJQKKQpU6ao\nsrJS27dv14wZMyZ8y/ei0ajq6+t148YNozt6e3sVCAQUiUSUnZ2tVatWaevWrcbejUJqoo+/Rx/H\nzoZG0keMB/r4ezb2UbK7kfQxM6TNIRoAAAAAgP9bWnwmGgAAAACAicAhGgAAAACAJHGIBgAAAAAg\nSRyiAQAAAABIEodoAAAAAACSxCEaAAAAAIAkcYgGAAAAACBJHKIBAAAAAEgSh2gAAAAAAJLEIRoA\nAAAAgCRxiAYAAAAAIEl/A3mRcN0AC8rYAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7bd97db50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def compute_greedy_policy(action_value_func):\n",
" greedy_policy_arr = np.empty((GRID_HEIGHT, GRID_WIDTH), dtype=np.object)\n",
" for x in range(GRID_WIDTH):\n",
" for y in range(GRID_HEIGHT):\n",
" greedy_policy_arr[GRID_HEIGHT-1-y, x] = greedy_policy((x, y), action_value_func)\n",
" return greedy_policy_arr\n",
"\n",
"greedy_default_policy_arr = compute_greedy_policy(action_value_function_1)\n",
"greedy_another_policy_arr = compute_greedy_policy(action_value_function_2)\n",
"greedy_some_other_policy_arr = compute_greedy_policy(action_value_function_3)\n",
"\n",
"with sns.axes_style('dark', {'figure.facecolor': '0.90'}):\n",
" fig = plt.figure(figsize=(12,2))\n",
" plt.subplot(131)\n",
" plt.title(\"Greedy Default Policy\")\n",
" display_policy_arr(greedy_default_policy_arr)\n",
" plt.subplot(132)\n",
" plt.title(\"Greedy Another Policy\")\n",
" display_policy_arr(greedy_another_policy_arr)\n",
" plt.subplot(133)\n",
" plt.title(\"Greedy Some Other Policy\")\n",
" display_policy_arr(greedy_some_other_policy_arr)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next we can perform policy iteration procedure starting from, for example, `another_policy`"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Method similar to compute_value_function\n",
"def policy_evaluation(policy_arr, value_function, gamma):\n",
" min_err = 1e-7\n",
" err = 1e10\n",
" count = 0\n",
" while min_err < err and count < 1000:\n",
" count += 1\n",
" err = 0.0\n",
" for x in range(GRID_WIDTH):\n",
" for y in range(GRID_HEIGHT):\n",
" # Force value function to be zero at the terminal state\n",
" if at_end_position(x, y):\n",
" value_function[GRID_HEIGHT - 1 - y, x] = 0.0\n",
" else:\n",
" action = policy_arr[GRID_HEIGHT-1-y, x]\n",
" v = value_function[GRID_HEIGHT - 1 - y, x]\n",
" value_function[GRID_HEIGHT - 1 - y, x] = action_value_function((x, y), action, value_function, bridge_proba, gamma)\n",
" err = max(err, np.abs(v - value_function[GRID_HEIGHT - 1 - y, x]))\n",
" return value_function\n",
"\n",
"\n",
"def policy_iteration(init_policy_arr, gamma):\n",
" is_policy_stable = False\n",
" # Initialization:\n",
" greedy_policy_arr = init_policy_arr.copy() \n",
" value_function = init_value_function()\n",
" \n",
" count = 0\n",
" while not is_policy_stable and count < 100:\n",
" \n",
" # Policy evaluation\n",
" value_function = policy_evaluation(greedy_policy_arr, value_function, gamma)\n",
" \n",
" # Policy improvement\n",
" is_policy_stable = True\n",
" avf = lambda state, action: action_value_function(state, action, value_function, bridge_proba, gamma)\n",
" for x in range(GRID_WIDTH):\n",
" for y in range(GRID_HEIGHT):\n",
" old_action = greedy_policy_arr[GRID_HEIGHT-1-y, x]\n",
" greedy_policy_arr[GRID_HEIGHT-1-y, x] = greedy_policy((x, y), avf)\n",
" if old_action != greedy_policy_arr[GRID_HEIGHT-1-y, x]:\n",
" is_policy_stable = False\n",
"\n",
" count += 1\n",
" return greedy_policy_arr, value_function\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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ir6+Ph4eHen9ZlTeAl5cXn332WYaf9u3bs3nzZgAePXqkrnSmVaFChUyfezUzM9OKLDl9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\nlYiIiIiIiCwei1ciIiIiIiKyeP8fOUWfahdVpNAAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7be7ad050>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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mzp07uLi45JhuamqqVnh0cHBwnu+gqZZxcHCgXLly6tAw1V+VKlVISUnJMawx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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7bd648e50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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jx49rTD99+jRPnz5VVy4h/f6xdetWhg8fzqZNm5g9ezahoaFMmzZN7/ZzEkb87NkzRo0a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"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7bd387710>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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0a9dO7eZJxueNC1pO9veGDRu0Dm6ZHqo8evRoKleunGkE5sOHD6lUqZJqEKaM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\ndaaIcDbKz7nzg4aR47lc6X3GFhs2gbk4nT59Ovfeey8eHh7ExcUxfPj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"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7be2f6890>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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0aEGLFi3U1nNycuLhw4f4+flJ5TUv6ejoqHVkzg0xMTGcOXOGHj160KVLF9X0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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7bdb64e90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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4tBVme2/atEnr4JbZocrjxo2jdu3aeUZg/vvvv9SqVUs17kVeBg4ciKenJ7Gx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"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7bd852b90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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vv+Ll5cX//vc/ZXpWx35GleX01wxLS0scHByYN29ehhXrnDRcs7O+7ChdurRO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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7bd104710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"with sns.axes_style('dark', {'figure.facecolor': '0.90'}):\n",
" for i, gamma in enumerate([0.25, 0.5, 0.75, 0.8, 0.85, 0.9, 0.95]):\n",
" fig = plt.figure(figsize=(12, 2))\n",
" final_policy_arr, final_value_function = policy_iteration(greedy_some_other_policy_arr, gamma)\n",
" plt.subplot(121) \n",
" plt.title(\"Final policy after policy iteration, gamma=%0.2f\" % gamma)\n",
" display_policy_arr(final_policy_arr)\n",
" plt.subplot(122) \n",
" plt.title(\"Value function after policy iteration, gamma=%0.2f\" % gamma)\n",
" sns.heatmap(final_value_function, annot=True, fmt=\"0.2f\", cmap='jet')\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## Value iteration\n",
"\n",
"One drawback to policy iteration is that each of its iterations involves policy evaluation, which may itself be a protracted iterative computation requiring multiple sweeps through the state set. If policy evaluation is done iteratively, then convergence exactly to $v_{\\pi}$ occurs only in the limit."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def value_iteration(gamma):\n",
" value_function = init_value_function()\n",
" \n",
" min_err = 1e-7\n",
" err = 1e10\n",
" count = 0\n",
" while min_err < err and count < 1000:\n",
" count += 1\n",
" err = 0.0\n",
" for x in range(GRID_WIDTH):\n",
" for y in range(GRID_HEIGHT):\n",
" # Force value function to be zero at the terminal state\n",
" if at_end_position(x, y):\n",
" value_function[GRID_HEIGHT - 1 - y, x] = 0.0\n",
" else:\n",
" v = value_function[GRID_HEIGHT - 1 - y, x]\n",
" vals = [action_value_function((x, y), action, value_function, bridge_proba, gamma) for action in ACTIONS] \n",
" value_function[GRID_HEIGHT - 1 - y, x] = np.max(vals)\n",
" err = max(err, np.abs(v - value_function[GRID_HEIGHT - 1 - y, x]))\n",
" \n",
"\n",
" avf = lambda state, action: action_value_function(state, action, value_function, bridge_proba, gamma)\n",
" greedy_policy_arr = compute_greedy_policy(avf)\n",
" return greedy_policy_arr, value_function"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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tmJmZUa5cOUaPHq2x7du25qbu19jYmDVr1mR4fWZWMc6t3ykvr6X0tJUL0rem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\nMG7fTMtQ5AAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7bd8d3690>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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JEiWyVYfUZalWrRrPnz/H2NhYLd+UZ4Yykp3vSVv9c+I4zI4yZcqgVCo1AtHU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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7bcb2e750>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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JkiXUrFmTFStW0L17dw4ePMiePXt0njNfX1/GjRtH6dKlWb16NatXr6ZatWpMnDhRte+V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\ncXr/H72H2aumsMN0AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7bc9d6150>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Mec1MQkICSqVSrYtpUlISJ06cAHLevJ52wp379++jUCioWLEihoaGVKxYUWNy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\n1fUGkOf5lwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7bc59d890>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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DhmFoaMiiRYuYP3++0qwzLi6O5cuXY2FhgbOzMzt27FCaEKbcz+nTp5kwYQJVqlTB09OT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\nxLlp2bCIiDgFFa8iIiLOzZGe86riVURE6tRUy4bPnDnD7Nm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LefPNN+nUqZNT\nPNtu9OjRjBw5svp1ZmYmo0ePZsmSJQQEBNgwMuto1qwZa9eupVmzZgwdOpSMjAz++c9/cvvtt2u5\nokgT0Vjv+Jx9vNdY7/g03tuOkZaW5hpz+T87deoUs2bNIjk5GX9/f+Lj46uXNTi6m2++GcMwqtfa\nu7u7YxgG69evt3Fk1vHNN9/w+OOP4+npWf0w6LP/Ll++nBYtWtg6RKs4evQoc+fOZf/+/fj6+hIb\nG8sjjzxCaGiorUOzuoyMDO6++262bNli61Cs5ptvviExMZGjR4/i5eXFLbfcwoMPPugU76aLOApn\nHutB470zjPca6x2fxnvbcLniVURERERERByPS93zKiIiIiIiIo5JxauIiIiIiIjYPRWvIiIiIiIi\nYvdUvIqIiIiIiIjdU/EqIiIiIiIidk/Fq4iIiIiIiNg9Fa8iIiIiIiJi91S8ioiIiIiIiN1T8Soi\nIiIiIiJ2T8WriIiIiIiI2D0VryIiIiIiImL3/h/atA+6xE3cqQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7bc2da090>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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/eT31hDv3799HoVBQrlw5jIyMKFeunMbkEMHBwfj7+2t0BU5LqVKlMDY25vr1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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc7be1fe7d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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eS92AyQxXV1cWLlxIZGQkJ0+epFSpUqrewAcPHvDkyRNGjx6t9uAu9doJqWn7\nXVNeG2ZmZpQuXZqRI0dqxH3f3tzk/RobG7N69eo0r8/0GsbZ9Tvl5LWUmrZ6Qere1OPHj+Po6Mjg\nwYNVYdrWh8ktmTnfR48excPDQ+s+atWqxYwZMyhTpgyXLl3SGA3w7NkzDAwM0q2PNW/eHFdXV0JD\nQ1XT+rp165Zhfb9ixYqcOnWK8PDwfPMmk+yU7xqvOSE+Ph6lUqn2AyYmJnL8+HEg46771FIvuHPv\n3j0UCgVly5bFxMSEsmXL8s8//6h114eEhPD8+fMMLzhIGmtvamrKjRs31ArltWvX8urVK0aPHg0k\nFewrVqxg69atPHnyJMOel/j4eI3XABw5ciTTT9OS49jZ2VGkSBHV0LBkiYmJPHv2TDX/JStcXV1Z\nv349ly9f5sKFCwwdOlQt3YDa7xcYGMj169fTHV5WpEgR3rx5oxaWuqe2WrVqPHnyRKPw8PPzy/I7\nbVOew2rVqnH+/HmMjY3VnjIGBQVleH6y8jtp+92y4zrMitKlS6NUKvHx8VEbnpN6PmZ8fLxGQZo8\nRy71k9KclHL/mTnfbdu21ej1TCm5Z6VevXocP36cp0+fqobLx8bGcvHixXRfE+Lj48OLFy/48ssv\nVRWYv/76i4SEBOrWrQskzWGOi4uje/fuat9NHiopRH7QsmVLjh07xt9//82dO3eYMWOG2va0yvP4\n+HjV6BdtZVqRIkUICwtT6z1N/SqSatWqcenSJUxNTdXK2aCgoCxX4DJz/8gMe3t7Tp06RUhIiKoR\nHxAQgLu7OwMGDFBNeUrvHly1alWNBadiYmK4f/++Rq92VsXHx2vck9Iqk7VJjmNqakqZMmXw9/fX\nWLTuyZMnaS5kl5FGjRqxaNEizp8/z19//aV230rrOgoLC+PMmTPppj2tXrC06gXnz5/H2tpa7UGz\nv79/lnteU9cLdu3aRWxsrNp0qlevXmFoaIienp7WhzhZ+Z3y6lpKzdbWFoVCgY+Pj9oKvamH8Gur\nF2S1pzc7ZeZ8N2zYUGMaYUrJo/fq1avH5s2buXr1qloHzLlz56hXr57W+s6jR4/w9fWlWbNmqjqK\nj48PgYGBNGzYEEha2MvPz09jyuDdu3cxMzMrlA1XKEQLNqWnaNGilC5dmiNHjqguhvHjx6uWrb5x\n44aq9zQzwsPDWb58OX5+fly7do2NGzdStWpVVQWyS5cuXLx4kQ0bNuDv78/t27eZPHkyFhYWak8k\ntf1R6unKqOodAAAgAElEQVTp0aFDB44ePcqhQ4d48eIFx44dY8uWLWoNAyMjI1xdXdm4cSMNGjTI\ncKGJ6tWrc+3aNa5cuYK/vz9eXl5A0pNEHx8frQtXJc8FOH/+PI8ePUJXV5dOnTqxb98+du/ejb+/\nP76+vri7uzNw4MD3evdbqVKlcHBwYNWqVQBq81CrVKmCjo4OO3bsIDAwkCtXrjBp0iRcXFx49+4d\nvr6+ai8GT+bg4MDNmzc5e/Ysz58/Z8eOHRpPwDt37qya1/Do0SP8/f3ZvHkzvXr1SvfVJmmdI19f\nXx48eKCat21mZsbkyZO5desWQUFBnDx5kgEDBrB+/fp095XR7/Tu3TsMDAwwNDTk9u3bPHr0KM15\nKJm9DjNj5syZ/Prrr1q3V6hQgTJlyqgKaD8/P+bPn6+az5oyb3///Tc+Pj48ffoUd3d31eusbt26\npcpHdt6w0tpXyrDM/F2YmZlRqlQprZ/kv71GjRpRoUIFZs6cyd27d/Hz82P27NkkJCSoFpKApPOZ\nvHI3JC2JP23aNPbt28eLFy84e/YsCxcupGfPnqqn4YaGhqxfv57169fj5+fH48eP8fDw4N69e2mu\n5C1EXnB0dKR06dIsWrSIYsWKabyixtLSEhsbG44cOcLjx49V9+PkBZ203Y8dHByIjY3F29ubwMBA\n/v77b9UD6GQtW7bE1NSUKVOmcPv2bYKCgvjjjz/o169fuu9TTIuDgwM3btzg3LlzPH/+nO3bt2us\nxpoZrVq1wszMjBkzZvDkyRMePnzIggULCAkJoUKFCsC/94+HDx9qNJgh6T71+PFjFi9ejJ+fH76+\nvkydOpWEhAS1V3u8T7lZvXp1Hj16xOnTpwkMDGTr1q08fPgQKysrfH19td7Pk+sFly5dUt1Xu3bt\nyl9//cWGDRvw8/Pj6dOnLF26lL59+2osrJcZpqam1K1bl23btvHq1Su1B/Rly5bF1NSUvXv3qu5v\nY8aMoVGjRkDSiK20Vnd3cHAgICCAw4cPExgYyOHDh7l06ZJanO+++46wsDBmzJjB/fv3CQwMZP/+\n/fTp04fDhw9nOv1mZmb4+flx7949goODadCgAWXKlGHatGlcvXqVoKAgzp8/z5AhQ1iwYEG6+8rs\n75Sb19KKFSvSnV5jbm5OzZo12b9/P2fPnsXf3581a9YQHByskbcrV65w7do1/P39WbFiBbq6uqqG\nb1YXVU0tp/4uTExM0q0XJD+sqlGjBp9//jkLFy7kn3/+ITAwkCVLlhAQEKD2MDr1+QwKCsLd3Z3f\nfvtNVff99ddf+frrr1X1JnNzc3bu3MmiRYt4/Pgxfn5+rFu3jjNnzhTa+a6QD3teM9vjknq5+oy+\nN3HiRBYuXMjAgQMpXrw4Xbt2xc3NjUePHrFkyRL09PQyfWw3Nzd0dXUZNmwYERER1KhRg1GjRqm2\nN23aVLX6l7e3N4aGhjg7OzN27Fi1Jzmpj5fy/927d0dfXx9vb28WLVpEiRIlGDhwoNowK0iaB7d/\n//5M9aT17t2b169f88svv2BgYEDTpk0ZNmwYRkZG7N+/H4VCoerVTZmWevXq8emnn7J8+XLs7e3x\n8vKia9euqhuHp6cnBgYGODk5sWTJErUhYlnpQXN1dWXp0qV8+eWXanOESpQowejRo1m/fj29evXC\n3t6e4cOHU7RoUa5fv86wYcNUS/WnPN6PP/5ISEgIs2bNUr1frE+fPmqvR/r000+ZM2cO69evZ+DA\ngSiVSuzt7ZkyZYrqfazapDxW165dWbp0KYMHD2bs2LE0btyYJUuW4OXlxfjx44mKiuKTTz7h+++/\np3Pnzumen8z+Tj/88AObN29myJAhzJkzR2M/mb0OteUtZdpevnypNk83LdOnT2f+/PmMGzcOc3Nz\n2rRpQ9u2bVmyZIlquOywYcOYN28eI0aMoGjRorRr144uXboQGhrK1q1b0dXVxcnJSetrKjJKp7a8\npBeWlb+LjOjq6jJ37lyWLl3K6NGjiY2NpUaNGnh4eKg9sU99Ptu1a0d4eDjbtm1j2bJllChRgh49\neqj9vbdv3x5jY2P27NnDjh07SEhIoEKFCkydOlX1FFaI/KBly5asXLmSzp07pznM8pdffmHBggUM\nGDAAa2trunXrxldffcWDBw9YtGhRmtMqXF1duXv3Lrt372bz5s18+umnjBo1ih9//FEVx9zcnMWL\nF+Pl5cW4ceOIioqiRIkSdO7cmU6dOqWb5tTlRHK5MGPGDHR1dWnSpAk//vgjU6dOTfd7qcMsLCzw\n8PDA09OTgQMHYmBggKOjI/Pnz1f1zHTt2hVPT09+/vln1es1UqpVqxbTp09n48aNHDx4ED09PapV\nq8aiRYtUlVhtaUkvHJLeDerv78/8+fMBaNCgAePGjWPv3r2sX78ed3d35s6dq7GfatWqUb9+fbZu\n3crBgwfZtWsXTZs2RVdXl23btuHt7Y2uri5Vq1Zl/vz5qoZ6Vrm6ujJ58mSqV6+uNkLKxMSESZMm\n4enpSZ8+fbC1teWnn36iSpUq3Lx5k4kTJzJr1iyN/X333Xf4+fnh6elJQkICderUYciQIWqNBjs7\nOzw8PFi9ejXDhw8nNjaWMmXKMGTIELVXPqUl5Tnq0KGD6nVA/fr1o3379ixcuBAvLy9+/fVXwsLC\nsLKywtXVVW0qTVr3tcz+Trl5LYWEhBAYGJju+ZgwYQLz5s3j119/xcTERJXXadOmqeoFffr04c2b\nN0ycOBFDQ0OaNWvG8OHDMTAw4MCBAygUCjp16pTpOkBar7RKLx9phWXl7yIzpkyZgqenJ5MnTyYy\nMpJKlSoxb9481fvtQfN81q9fn5EjR7J9+3Y2b96MhYUFrVu3VntY3bBhQ6ZNm8bWrVsZMmSI6lod\nNWpUhtdqQaZ4/vx53vTJF1BNmjShS5cu9O3bN6+TAsDixYu5cePGBy90IUR6/Pz8WLFiRZoLKyWL\niYkhNjZWbSj3kiVLOHToUJaeVgshhBAif4uMjGTYsGHpLnwaGxtLdHS02gPzrVu3snLlSvbv35/t\n82zFxyHf9byKjCUkJBASEsLff//Nvn370ux1EyI7HTt2TGP4X2qjRo3i9evX/Pe//8XGxoZbt25x\n6NAh2rRpk0upFPldUFAQHh4e3LlzBxMTE5o0aUK/fv3SjLtr1y727t1LaGgoFSpUYNCgQRm+XkMI\nIUTuOH78uGpNBm3c3d25du0aY8aMoXz58jx8+JDt27fTuHFjabgWchcvXmTWrFnUqlWLSZMmqW37\n888/2bRpE4GBgdjZ2dG3b1+N12+mR3pes8jFxYUuXbrQp0+fPEvDy5cv6dSpEyVKlKBXr14a7+wS\nIi+8efMGT09Prly5Qnh4ONbW1nz11Vd07dr1g1ZuFoXHTz/9hIODA/379yc0NJSxY8fStm1bjRWV\nz507h7u7O3PmzMHe3p5du3axc+dONm/e/EGvsBJCCJF7oqKiWLlyJefOnePNmzdYWVnxn//8h169\nen3wK6RE/rV161YOHTqEhYUF1tbWao1XX19fBg0axPTp03F2dub06dPMmzcPb2/vTC+IJo1XIYQQ\nOe7u3bv8/PPP7Nu3T/Uqp/3797Nr1y6N90KOGzcOOzs71QqKSqWS77//nkGDBqW76rMQQggh8tbu\n3btp3rw5ixcvJi4uTq3xumjRIkJCQtQWrRw4cCANGzZUWxMmPR/FasNCCCHylq+vLyVLllQ1XAEq\nV67Ms2fPNFaXvX//vtoQYYVCQcWKFeV9tkIIIUQ+1759e60966nv75BUF8jK/V0ar0IIIXLcu3fv\nNN7LnPz/1C+t1xb3Q1+ZIIQQQoi8kx3393yzYFPKJdALo6y8MkYIkf3y6mXnuSmj1xa8j4zK5g85\nZvJvkpnyUalUSjlaCNisKJXXSchRimlT8joJQnzUpjAlr5OQ4356/jzb97myVPplc04cM1lW7+/S\n8yqEEEIrpVKZ7iezzM3NNZ6shoWFqbZlJq6FhcV75kIIIYQQ2uhl8Mku2XF/l8arEEIIrbKr8Vql\nShWCgoLUhgj7+PhQrlw5jIyMNOLeu3dP9f/ExETu379P1apVPzxDQgghhFCjn8Enu6S+v0PSgo5Z\nub9L41UIIYRWiYmJ6X4yq1KlSlStWpWVK1cSGRnJ06dP2blzJ+3atQPghx9+4NatWwC0a9eOY8eO\ncefOHWJiYti4cSMGBgYZvmtYCCGEEFlnnMEnu7Ru3ZorV65w4cIFYmNjOXToEP7+/ri5uWV6H/lm\nzqsQQoj8JysN1IxMnTqVefPm0b59e0xNTWnXrp2q8RoQEEBUVBQAderUoW/fvkydOpU3b97g4ODA\n7NmzMTAwyLa0CCGEECJJdjZQmzZtikKhID4+HoC///4bhULB0aNHKV++PBMmTGDp0qW8ePGCcuXK\n4e7ujqWlZab3n2/e8yoLNgkhcpIs2PR+ihUrlu72169fZ/sxReElCzYJIXKSLNj0fo5msGBTsxxc\nsCmrpOdVCCGEVtnZ8yqEEEKI/Cc7e15zmjRehRBCaCWNVyGEEKJwM8nrBGSBNF6FEEJo9TEMtxZC\nCCE+ZgWpQViQ0iqEECKXSc+rEEIIUbjJsGEhhBCFgjRehRBCiMJNGq9CCCEKBRk2LIQQQhRu+nmd\ngCyQxqsQQgitpOdVCCGEKNyk51UIIUShII1XIYQQonCTxqsQQohCQYYNCyGEEIWbDBsWQghRKEjP\nqxBCCFG4GWfQIozJnWRkijRehRBCaCU9r0IIIUThpieNVyGEEIVBRj2vOjo6uZQSIYQQQuQEY8P0\nt0fkTjIyRRqvQgghtJLGqxBCCFG46WfQeM1PpPEqhBBCKxk2LIQQQhRyBahFWICSKoQQIrfJgk1C\nCCFEIWeU1wnIvI9qvFd8fDyLFy+mefPmODs7U6tWLXr06MHly5fzOmnvrUyZMhQvXlwtzNDQkEqV\nKmFqaqoWbmFhgb29fW4m74NJ/v5VEPMHH0ceUyps5UxiYmK6HyFyTZkGMDESJkT8+5kYBZPjNeP+\ncEQ97sRI+CUOGk/UjFulDUxOgLINcz4PmVCmjDm//96Z4OD/8ujREGbN+kpr3MGD6+DjM4jXr0dz\n6lQPnJ1Lqrbp6+vg6dkKP79hBAWNZNu277C0zPsaquTvXwUxf1A481ihaVNGBgbSftMmjW3VO3Sg\n3/XrjH37lj4XL2Lv6qp1P4bm5ny7dSsjAwMZ7u9Pm5Ur0TUwUG0v4ehIj5MnGRMayqC7d6k3fHiO\n5CfLDDP45CMfVeN11qxZnDp1iqVLl3L16lXOnDnDF198QZ8+fQgICMjr5L2XiIgITExM1MJMTExI\nTEzUaBiYmJgQEZGfplxnTPKnHl7Q8gcfRx5TKmzljFKpTPcjRK7xOwPTTWCG6b+f01Ph1jbNuBub\nq8edWxLCA+HOLvV4+sbQfCHEhudOHjJh164OPHv2jnLlPHB13cg33zgwdGhdjXitW1dm8uTGdOu2\nm5Il53PwoC8HDnTByChpUN2sWa44O5ekbt3VVKmyFB0dBevWtcvt7GiQ/CUpqPmDwpfH+qNG0czD\ng5D79zW2lXByot369ZwYPZo5xYvzv4UL6bhnD0VsbNLcV9s1a9A3NmZZ1aqsrF2b4lWr4jZnDgC6\nhoZ0PnCARydOMN/Ghl2dOtFg3DiqtMsHv6teBp985KNqvJ47d45WrVpRsWJFFAoFJiYm9O/fn+nT\np2OQ4qlIQRIREYGhoaHaoikmJia8e/dOo8FgbGxc4BoGkr9/FcT8wceRx5QKWzkjPa8i3zK3g3rD\n4dh/M4771Qy4uxeCfdTDv5wCj05A5KscSWJW1a5tg6NjCcaMOU5ERByPHoWyYMH/+Omn2hpxf/qp\nFuvWXefKlUBiYxOYO/ccSqWSNm0qo1DAjz/WZNq0vwgMDOft2xgmTPiT1q0rU6KEaRpHzh2Sv38V\nxPxB4cxjXFQUq+vU4fXDhxrbavXuje/Bgzw8dozEuDhubdnCi5s3cezWTSOuibU1Du3a8ce4cUS/\neUPEixf89euvOPXsiUJHh8qtW6Orr8/fM2YQHx1N0PXrXFu9mto//ZQb2Uzfx9DzGhkZSVBQEC9e\nvCA6Ojo705Rjypcvz549e7h7965aeOvWrbG2ts6jVH2Y6OhoEhMT1RoBxsbGvHnzBj09PfT+/8VN\nRkZG6OjoEBkZmVdJfS+Sv4KdP/g48phSYStnpPH6ccvX9/om0+DaGgh7nn68YhXAsRucnKIe/kmN\npPAT40ChyLFkZkWtWjY8efKGsLBYVdjVq4FUqWKFqam+WtzatUtx9WqgWtj160F8/rktFSsWw9zc\niGvX/t1+/34IUVHx1K5dKmczkQ7J378KYv6gcObx0rJlxIanPfrCpnZtAq9eVQsLunqVUp9/rhG3\nZM2aJMbHE3znjios8OpVDIoUobiDAza1avHin3/UvhOoZV+5rgA1XrPcEbxjxw4OHDjAs2fP1MLL\nlStHu3btaJcfur61mDRpEiNGjOCbb77BxsaGzz77jMaNG+Pm5lYge0SSRUZGYmpqSnh4OMbGxsTH\nxxMXF0dUVJRaD1dyI6KgkfwV7PzBx5HHZIWtnJGhwR+nfH+vtygLVb+BxZUyjttgDFxbC1Gv1cNb\ne8KfEyEqNGfS+B6srEwIDY1SC3v9Okq1LSLibYq4xoSGRmvELV7cGCsrE5RKpcb20NAoihdXH/GS\nmyR/BTt/8HHkMSVjKyuiQ9XLiKjXrylerZpGXBMrK6LfvtWIq1AoMCleHBMrK6LS2JdxsWLZn/Cs\nymdDg9OTpaR6eXlx5swZvv/+eypXroyZmRlKpZKwsDB8fHzYtm0bb9++pXv37jmV3g9iY2PDli1b\nePjwIefPn+fixYtMnDiRxYsXs3HjRj755JO8TuJ7iYiIwMrKCkgajpnccxUZGanWMCiowzElfwU7\nf/Bx5DFZYStncuthQlhYGAsWLOD69evo6upSt25dhg4dqrXB/9dff/Hbb7/x/PlzrK2t6dChA61b\nt86VtBZ2BeJeX2cQ+OyGiOD04xlZgOMPsKSyenjtPkm9rdfW5Vwas0lyp3BmHiQpFArSi5a0PX89\nkJL8pYxb8PIHH0ce1SgUpJuJNGjN03vsK0dk4zpZDx48YPny5dy/fx9DQ0Nq1arFoEGDsLCwyJb9\nZ2nY8MmTJ3F3d6dt27Y4ODhga2tL6dKlqVq1Ku3bt2fWrFns27cvWxKWkypUqEC3bt1YvHgxJ06c\nIDY2lg0bNuR1st5bZGQkenp66OvrqzUMknu1FAoFRkZGBbZhIPkr2PmDjyOPqRWWcia3hg3PnTuX\nmJgYNmzYgJeXF0+fPsXLyyvNuHfv3mXGjBn07t2bgwcPMmjQIBYtWsStW7eyLT0fswJxr6/2Hdzd\nn3E8h68h5B68TdGDbFwsacjxgQE5l773FBwcodHrVKyYMUolvHoVmSpuZJpxg4MjCQ6OQKFQaGy3\ntDQiODjvpmZI/lLGLXj5g48jjylFBgdjkuqNCcbFihERrPngLCI4GKNUDTRjKyuUSiWRwcFEaNlX\nZEhI9ic8q7Jp2HBiYiJjx46levXq7N27l/Xr1/PmzRsWLVqUbUnNUuM1MjISS0tLrdutra3zbeXz\nxYsXTJ06VSN9VlZWVKlShaioKC3fzP/i4+OJjY3F1NQUQ0NDVcMgOjoahUJB0aJFSUxMJCYmJo9T\n+n4kfwU7f/Bx5BEKZzmTG6sNh4aGcubMGfr27YuZmRlWVlZ0796dI0eOkJCQoBH/3bt3dOvWjfr1\n66Ojo0PdunWxt7fnxo0b2ZKej12+v9eXcATzMvDoeMZxHdrCw2PqYZVbJTVgu5+A0S+TPkXtoPM+\naOGRM2nOpMuXn1O2rIXa60Lq1LHlzp1goqLiNeLWrv3viqcKRdJ8xP/9z59Hj0IJDY1S2169ujUG\nBrpcvpzBHOEcJPlTj1vQ8gcfRx5Ten75Mja11RejKvX55wRcuKARN+jaNRQKBSWcnFRhtnXqEP3m\nDa/u3eP55cuUdHJSm2Nvq2VfuS6bVht+9eoVISEhuLm5oaenh5mZGQ0bNsTX1zfbkpqlxmu1atVY\nsWJFmjetd+/esXz5cmrWrJltictOxYoV49y5c4wePZrHjx+jVCqJjo7mwIEDXLhwga++0v6OqoIg\nIiICCwsLYmNj1XpDoqKisLS0LPCL4Ej+Cnb+4OPIY2EsZ3Kj5/XBgwfo6upSvnx5VVjlypWJjIzE\nz89PI36dOnX44YcfVP9PSEggJCSkQC6IlR/l+3u9jTNEhkBsqvT9fAfsvlAPK+kMoY/Vw25vB4/y\nsKImeDolfcKew77e8OcvOZv2DNy48YKLFwNwd3elSBEDqlSxYvjweixffgkAH59BfPFFaQA8PS/T\nvbsTderYYmSkx8SJjYiOjufQIV+USli58ioTJjTE1taMYsWMmTnzK3bt8tHoHZP8Sf6y4mPIY0pX\nV63C3s2Nis2bo2tgQM1evbCqVIl/vL0BqNKuHT1PnwaS5q/e2bkTl+nTMS5WDDNbWxpNmsTVVatA\nqcT30CFi3r2j0cSJ6BkZYVunDs69e3Np+fK8zGKSbOp5tba2plKlShw4cICoqChCQ0M5ffo09evX\nz7akZmnO67Bhw/jll19o164dJUuWxMzMDIC3b98SFBRE1apVmTp1arYlLjvp6+uzceNGlixZQu/e\nvQkNDUVHR4eqVauyYMGCbD2peSEiIgJLS0tCU00ET14oJyQ/DEn4AJK/gp0/+DjyWBjLmdyY8/ru\n3TuKFCmiFpby/pIRLy8vjI2NadKkSY6k72OT7+/1RUpCeJBmuFVlMCiSKm4JzbjxMRCmvgIqifFJ\nr8uJeZe9aX0P3323nVWr2hAUNJK3b2Pw9LyMl9cVACpVKkaRIknzwI8de8i4cX+wfft3WFubculS\nAC1bbiI2Nmm0wi+/nKRIEQNu3OiPrq4Ov/9+j4EDD+VZvpJJ/gp2/qDw5XF8ZCQolejoJ62W7PDN\nN6BUMtPUlOA7d9jdtSvNPDwwL1OG4Dt32NyqFZH/P2zYyNycYhUrqvZ1oH9/Wq9YwdDHj0mIjeXm\npk38OXEiAIlxcWxu3ZrWXl40GDeO8KAgTowdy8OjR3M9zxqyaUVhhULB1KlTGTlyJDt37gSgZs2a\n9OnTJ3sOACieP3+e5XFfd+/exdfXl3fvkgp5c3NzqlSpQqVKmVj1TwsbLS/7LSwU+WQZfiE+Vvl+\nAYhsEBgYmHGkbN5nZsvu48ePM3PmTLWyUKlUolAo6N27Nzt37mTPnj2qbQkJCbi6uuLh4YFTiiFY\nqXl5eXH8+HE8PDwoXbp0ptIiMidH7vUr8vY1HzlNMW1KXidBiI/aFKbkdRJy3E/Ps39Ytc0v6ZfN\ngdMyd8y4uDj69u3Lf/7zH7p27UpUVBQLFy5ER0eHadOmZUdS329hZAcHBxwcHLIlAUIIIfKv7Op5\ndXNzw83NLc1tly9fJjw8XNWYBVQNJm2rEyqVStzd3bl37x7Lli2jRIkS2ZJO8S+51wshxEcim1Yb\nvnr1KkFBQfTt2xdIesNEr1696NOnD2FhYaqRPB+iAL3VRwghRG7LjWHDlSpVQqlU8uDBA1Wvno+P\nD2ZmZtjZ2aX5nSVLlvD06VOWLl2qMeRYCCGEEFmQTcOGExISUCqVJCYmoqOTtLRSbGxsto5AzdKC\nTUIIIT4uubHasLm5OY0bN2bNmjW8ffuWly9fsnHjRlq1aqW6+Y0YMYJTp04BcPPmTU6cOIG7u7s0\nXIUQQogPlU2rDdeoUQNjY2PWrVtHTEwMb9++xdvbGycnp2zpdU1OqhBCCJGm3Oh5haTG6YIFC+jc\nuTN6enq4ubnRu3dv1fbAwEDCw8MBOHz4MBEREXTs2FFtH46OjsydOzdX0iuEEEIUGtnU81q0aFHm\nzp3L8uXL+f7779HX16dmzZqMGDEiew7Aey7YlBNkwSYhRE6SBZvez6NHj9Ldbm9vn+3HFIWXLNgk\nhMhJsmDT+7FZn8GCTT3zz7t3pedVCCGEVh9Do18IIYT4qOnmdQIyTxqvQgghtMqtYcNCCCGEyCPZ\ntNpwbpDGqxBCCK2k51UIIYQo5KTnVQghRGEgPa9CCCFEISc9r0IIIQoDabwKIYQQhVw2rTacG6Tx\nKoQQQisZNiyEEEIUcgWoRViAkiqEECK3Sc+rEEIIUchJz6sQQojCQBqvQgghRCEnc16FEEIUBjJs\nWAghhCjkZLVhIYQQhYH0vAohhBCFnPS8CiGEKAyk8SqEEEIUcjLnVQghRGEgw4aFEEKIQq4AtQgL\nUFKFEELkNul5FUIIIQo56XkVQghRGEjjVQghhCjkZM6rEEKIwkCGDQshhBCFnKw2LFKTCqAQoiCS\nnleRrXzzOgE5S1lzSl4nIUe9vpXXKch5F+LzOgU562JeJyCHTWFKXichx/2UEzuVnlchhBCFgTRe\nhRBCiMJNmdGc15hcSUamSONVCCGEVjJqRAghhCjcEjJqEUrjVQghREEgPa9CCCFE4RZjqJN+hIjc\nSUdmSONVCCGEVtJ4FUIIIQq3WMOC864cabwKIYTQKreGDYeFhbFgwQKuX7+Orq4udevWZejQoRgY\nGKT7vaioKLp3785nn33GmDFjciWtQgghRGGSkAPLDW/cuJG9e/cSGRlJ9erVGTVqFCVLlvzg/WbQ\nRyyEEOJjlpiYmO4nu8ydO5eYmBg2bNiAl5cXT58+xcvLK8PvrVu3jujo6GxLhxBCCPGxicEw3U9W\n7dmzhz/++INFixaxa9cuypYty44dO7IlrdJ4FUIIoZVSqUz3kx1CQ0M5c+YMffv2xczMDCsrK7p3\n786RI0dISEjQ+r2HDx/y559/0rx582xJhxBCCPExSkA33U9W7dixgz59+lC6dGlMTEwYPHgwgwcP\nzpa0yrBhIYQQWuXGnNcHDx6gq6tL+fLlVWGVK1cmMjISPz8/tfCUFi5cSJ8+fQgKCiI8PDzH0ymE\nEDU5dwQAACAASURBVEIURrGkP0VHPwv7evXqFYGBgbx7946ePXvy+vVrnJ2dGT58OBYWFh+WUKTn\nVQghRDpyY9jwu3fvKFKkiFqYmZkZAG/fvk3zO/v370dHR0d6XYUQQogPlJ3DhoODgwE4ffo0CxYs\nYO3atQQHBzN//vxsSav0vAohhNAqu4YGHz9+nJkzZ6JQKNT2rVAo6N27t9bvpYyfLDQ0lHXr1rFw\n4cJsSZsQQgjxMcvOBZuS6w2dO3emWLFiAPTq1YsxY8YQFxeHvn5W+nE1SeNVCCGEVtnVu+rm5oab\nm1ua2y5fvkx4eLiqMQtJvbFAmkOMli9fTvPmzSlXrly2pE0IIYT4mMVkMGw4K5IbrKampqqw5FWG\nQ0ND+eSTTz5o/9J4FUIIoVVuzHmtVKkSSqWSBw8eUKlSJQB8fHwwMzPDzs5OI/6JEycwMzPj0KFD\nAMTExJCYmMj58+fZu3dvjqdXCCGEKExi32NFYW2sra0xMTFRu6cHBgaiq6tL8eLFP3j/0ngVQgih\nVW6859Xc3JzGjRuzZs0axo0bR0xMDBs3bqRVq1bo6CQtzTBixAjatm3Ll19+qbHc/vbt2wkODubn\nn3/O8bQKIYQQhU12DhvW1dWlVatWeHt74+joiImJCRs2bKBp06aqe/qHkMarEEIIrXKj5xWSGqcL\nFiygc+fO6Onp4ebmpjYXNjAwkLCwMACNJ7cmJiYYGRlhZWWVK2kVQgghCpPsHDYM0LdvX+Li4hgw\nYAAJCQk0btxYXpUjhBAi5+VW49XU1JRJkyZp3b5lyxat23r27JkDKRJCCCE+Dtk5bBhAX1+foUOH\nMnTo0GzdL0jjVQghRDpyY9iwEEIIIfJOdg4bzmnSeBVCCKFVbvW8CiGEECJvZPVdrnlJGq9CCCG0\nksarEEIIUbjFZvOc15wkjVchhBBaybBhIYQQonCLL0DDhj98veICwsXFhRo1auDk5KT6ODo64uTk\npHpXYEFX2PMo+Sv4CmMe27dvz7x589TCbt++jYODAydOnFAL37BhAw0bNszN5H2wxMTEdD9C5Koy\njjD+BKx6DcsCYMAGMNOyyrShCQzcCN4JULKS+rZFj+G3aFgXAesjk/4dsSfn058ZlR1hxQk4/RqO\nBcCvG8AijTz+9AtcioNzEUmf85FJ/1r+/2rcyf9Puf1KAjg3yN38pKJbuzZmR09gERyK+SM/jIaN\n0BrXeNp0zO8+wCLoFUX2H0SnXDnVNp0yZSiyYzcWQa+weP6SIvsOoFOxYi7kIH1Fa9fm8xMncA0N\n5Us/P8qNSDt/n65dS7PYWJpGRCR9IiP5KiREtV3P3JyaW7fiEhhIE39/aqxciY5B3vSOVWjalJGB\ngbTftEljW/UOHeh3/Tpj376lz8WL2Lu6at2Pobk5327dysjAQIb7+9Nm5Up0U+SphKMjPU6eZExo\nKIPu3qXe8OE5kp+MlCljzu+/dyY4+L88ejSEWbO+0hp38OA6+PgM4vXr0Zw61QNn55Kqbfr6Onh6\ntsLPbxhBQSPZtu07LC2NciMLWRaLYbqf/OSj6nn95Zdf6NChQ14nI0cV9jxK/gq+wpbHhg0b8vff\nf6uFnTt3DlNTU86dO4drihv5+fPnC2TjVYh8QaGA0Yfg9FpwbwbGZjB4K/RcBks6qce1KAkTT4Lv\neSCN0QNKJcx0hXtnciXpmaZQwJJDsG8tDGoGJmbgvhXGLoOxnTTjH9gAU3trhgN8YaL+f6cv4NeN\ncOti9qc7kxTm5pjtP0TM6pWEtW2Fjr09ZnsPkPD0CXF7dqvFNRz0MwYdOhHWpgWJAQGYzJhFkZ17\nePeZMwBFdu0l/vw53pQrDTo6mHqtpsj/tXfncVWW+f/HX4d9DQRckMnMZLEmN8atxUaNrLRBHVun\nnMrCyvw6OWWZWk6mNbmkkxuWo41ZVmqb4y+XtBozKwXcQMXdApRiEw475/cHih4PoOiBs72fj8f9\n6MF1X1x8Pmrn4nNf133f739IQfdYW6QGVBecf1izhuMLF7J9wAD82rUjdvVqio8c4cSqVRb9D06e\nzIHJk2sd6/pFizB4evJthw64eXvTZcUKov/5T9KauKC74dln6fzoo/y2f7/FuZadOhG/ZAkfDhrE\n4U2buHboUO795BPeioqiMDPTov+fFi3C3dOTuR064O7tzT0rVhD3xht8+be/4e7tzf2rV7M9MZFl\nd9xBWEwMD65bR+6hQ+z77LOmSLXGypX38NNPGdx33yxatgxgzZoHyMoqZPbsH8z6DRwYxcsv30L/\n/u+xa9dJRo/uwerVD3DNNf+ipKSC1167lS5dWtGjxzsYjeW8886fWLw4nkGDPmzSfC6GI20bdpmV\nV3CN7W/OnqPyc3zOluPNN9/M3r17ycnJqWn7/vvvGTx4MFu2bKlpq6ys5KeffnK44tVkMtV7iDSZ\nZq0hOBw2vwdVlVCUBz+ugrZdLPsGNodlz8LKSYCh9vEMdbTbUvPWEBYO/30PKivhVB5sXAUxteTY\nEAZDdQE86zkoL7NOrJfAo9cNGAICKH55IpSWUpWWRsnMaXg/+phFX+/HEiiZPZOq9HQwGjFOeBH3\nDtfi3q0beHhQMudfFE94EUpKwGikbPn7uHe41gZZndXshhvwCAggfeJEqkpLKUxL4/C0aVz5mGV+\n9fFq3pwW8fHsHzeOirw8yk6c4ODkyUQ88gi4Ne2v7uXFxbzTvTs5Bw9anOs6fDjp//0vB9eto6q8\nnN0ffMCJXbvo+OCDFn39mjcnJj6er8aNoyQvj6ITJ/h28mQ6PfwwBjc3ogYOxN3Tk/9NmUJFSQlZ\nKSkkv/MOsQkJTZFmjdjYcDp2bMnzz6+nqKicQ4dymTlzKwkJlhdFEhK6snhxCtu3Z1JWVsm0aVsw\nmUzcdVcUBgM8+mhnXnnlWzIzC8nPL2X8+I0MHBhFy5b+TZrTxajAvd7DnrhU8SoiYm1dunTB39+f\nrVu3AlBWVkZycjLDhg0jKyuLrKwsAHbs2EFxcTE33nijLcNtMG0bFruR8wscTYa+CdVbgq9oDj2G\nQtIXln2P74Lk/9Y/3u2jYWY6vJMPoz+CwLDGibshTv4Ce5Phzwng4wfNmsOtQ+HbWnIEiOoEizfD\nt3nw0U7oUceWzbv+CmUlsNEOtkafd9HLlJeHR6fO5n28vXHvcC2VKcln24qKqExPx+MP3aCigrJ3\nl2AqKADA7Xe/w/uJpyj7aHljR39B51/UK8/LI7Bz51r7hvTtyw3btxOXn0+v77/nii7VFymu6NwZ\nU0UFhampNX0LkpLwCAwkICam8YKvxU9z51JWWFjrufDYWDKTkszaspKSaN2tm0XfVp07U1VRQfY5\nOWUmJeEVEEBYTAzhXbtyYudOs+/JrGOsxtS1azhHjuRx6tTZizxJSZlER4fi7+9p1jc2tjVJSeYr\nzCkpWXTrFkH79iEEBfmQnHz2/P79v1FcXEFsbOvGTeISONK2YZcqXidPnmxxr12vXr1sHZZVOXuO\nys/xOVuO7u7u9OrVi++++w6A7du306JFC9q0aUPnzp1rVl+///57rr/+eq644gpbhttgKl7Frswa\nCn8YBIsKYF4mGNzgwxcbPs6RJDj4I7zQEZ7rAP4h8H8fWT/eS/HcUPjjINhcAOtP5/hWLTme/BmO\nH4DxD8KtLeHTRfCv1dCmlvs+/zoWFk1t/NgvoOL7LZiMRnz/MRl8fHBr1w7vEU9iCAkx62do1gwM\nBqpyc83aTbk5GELNLzI0O1VM0IEjUFRE0cgnGzuFeuVu2UKV0Ujk5Mm4+fjg164dbZ58Eq/z8gMw\nHjyIMT2dbXfcwcbWrcnZvJlu69fjERyMZ2goFfn5Zv3LTu/u8Qqzg4ssp/mGhlJy3t9RcU4OfrXE\n6BcaSsl5ORXn5GAwGPALC8MvNJTiWsbyreXPrjGFhvqRm1ts1paTU1xzzryvL7m5JRZ9w8J8CQ31\nw2QyWZzPzS0mLOy8Lf12oBSveg97YvV7Xvv378/atWutPaxVONu9drVx9hyVn+Nzxhxvvvlm5s2b\nB1QXqWeK8V69erFlyxaGDBnikPe7gvNt8xbrsMlc7+4Jz34BWz+ET6eCTwA8Oh+efr+6qG2Ic/uX\nFcOSkfBGKjRvC9lHrBl1w3h4wuwvYN2H1cWmXwC8OB9eex+ePS/HT/9dfZzx/mzofx/c+SAsmHS2\n/eYB4OkF365ukhTqY8rPp3DoIPzemIH3U09TmbqHsncX49H1Iu9TNRgsVm5zA30xtG6N3z+nE/j/\n1nGqT+9GiPziVOTns33QIDrMmMFVTz9N4Z49/Lx4MVfEWuZ3cMoUs6/3jR1L6/vvp+WgQVSVlFj0\nP8PuP5Nr+Tu6kDpzuoSxGsOZOwwu5s/eYDDUG3L1edvndL5KB3oMktVXXu3xL+QMe47NWpw9R+Xn\n+Jwxx969e5OVlcWhQ4fYunVrTfHas2dPtm7dSnFxMSkpKQ5ZvGrlVWpjk/+Pf9+vurj8cDyUFkH+\nCVjxMvxhMPgFXd7YZwrWZjbeztejH7RuC3PGQ3ER/HYCFrwMfQZDwEXkmHmk+r7Zc906FP5n+8L1\njIotWyi4qRd5zZtx6pabqMrJoeqXX8z6mHJyoKoKt/NWWd2ahWD6NdtiTFNGBsZnn8Hjhhtx73KZ\n9wdfprwtW/i+Vy82NGvG1ptuojwnh9Lz8quVyUTJ8eP4tG5NWXY2nsHBZqe9QqufOF2WbZm/rRiz\nsy1WWX1DQiiqJcai7Gx8zsvJNzQUk8mEMTubojrGMp7zBOamkJ1dZLEyGhLii8kEv/5qPK+vsda+\n2dlGsrOLMBgMFuebNfMhO9t8HHtQhle9hz1pUJk9uY4nop2rsrLykoMREXFELVu2pH379nz77bek\npaXRo0cPAK6//npKS0tZtWoVgYGBdOzY0caRNpwKVNdjt3O9m3v1FtpzV2O8fKj1acJmzjsfeiX8\n6QX4z2iorKhui7i2ut/JQ1YOuoHqyrG2iwXDX4QdW2Db12fbru4Aa8+777P3XTBxWKOF3CBeXnjd\nfQ9ln34CRUUAeN7Wn4qtW8z7lZVRuWc37rGxVHxX/URoQ1AQbu3bU/HDVtwiIwn8cgMFsZ0w5eVV\nf8+ZP6Py8qbKxoKblxet7rmHE598QuXp/ML69yd3yxaLvjHTp/PzkiUU7t4NgMHdHb9rrsF48CAF\nycng5kZgp06c2rEDgKDu3SnPzaVo376mS+gCMrZtI/y8VeXW3bqx+4MPLPpmJSdjMBho2akTJ07n\nFNG9OyV5efy6bx8Z27bxhyeeMPu3H9GtG7/88IPFWI1p27YMrroqmGbNfGq2/HbvHkFqajbFxRUW\nfWNjw3nvvep7dQ2G6ntm3347iUOHcsnNLSY2Npyff66+N/u665rj5eXOtm0ZTZrTxbC3rcH1adDK\na1JSEtnZ2Xh6etZ5iIi4optuuolly5YRGRlJ8Omry25ubsTGxvLuu+9yww032DjCS6OnDbseu53r\n92+BkkIY+g/w9IGAEIh/EdK+AWM+TE+DyPPvnzdg8bThgpPQ9U/wlxng5Vv9BOMHZ8L2zyEvq6my\nqd2OLVBcCE/+A7x9ICikukjd/g0U5sOqtOpX3kD1u1/HzYU2kdXbgh8aA7+7Br549+x44VfBFc0g\n47Bt8jlfWRm+EyfhO248uLnhcWsc3vc9QMnsNzGEhxO0MxW3Nm0AKE2cj8/To3GLjoaAAHxf+yeV\nyUlUpqRQdeAApvw8/Gb9C8MVV0BAAH5TXqPqwAEq09Jsll5VWRmRkyZxzfjq/MLi4mj9wAMcefNN\nvMPDuTk1FZ/T+flefTXXzZ2Ld3g47v7+RE+bRlVZGSc++4zynByyPv6YqFdfxTMkBJ+ICNpPnMjx\nt9+2i220ZyS9/Tbt4uJof/vtuHt50fmRRwiNjGTne+8BEB0fz8PffANU37+aumIFfV99Fd+QEAIj\nIug9cSJJp3NKX7OG0oICek+YgIePDxHdu9Nl+HB+On1LTlPZseMEP/74C6+/fisBAV5ER4fyzDM9\nmTfvJwDS0kbSq9fvAJg/fxvDhnWie/cIfHw8mDChNyUlFaxZk47JBAsXJjF+/M1ERAQSEuLL1Kn9\nWLkyzWIF1x5U4lHvYU8aFM24ceOYM2cOr7/+On5+td9svGnTJqsE1hgmT57M1KlnH1hgMpkwGAwM\nHDiQKefde+ConD1H5ef4nDXH3r17s2TJEh555BGz9p49e/LNN98wcuRIG0V2ebTy6nrsdq4vyq1+\nv+uDM2DOz1BRCqlfw6Inqs+3iqy+Dxaqi9rBE05/owle31H9S/+nr8Jnr1WP89BMmPtLdftPq+C9\nMU2f0/kKcuGp/jBmBnz5M5SXVq+sTjmdY5tI8D2d4+wXqmNP/Kq6yD24BxL6QvY5Tz8Na1Xd51cb\nF+XnKLz/bvznL8Rn5Ciqjh+ncNhfqNy5E7c2bXCLigLv6ieblr69EEPLVlyx4WsMAQGUf72JU3cP\nqR7EZKLwTwPwmz2H4CM/YyopoeLHHzg1aGD1K4ZsKPnuu/n9woVcNWoUJcePs+Mvf+HUzp34tGmD\nf1QUbqfz2/Xoo8TMmMEN27fjERhI3g8/8EOfPjX3u+554gmuW7CAPx4+TFVZGRnLlpE+YUJ9P7pR\nvGg0gsmE2+mLVjGDB4PJxFR/f7JTU1n1l7/Qf9Ysgtq0ITs1lfcHDMB4etuwT1AQIe3PPkBs9RNP\nMHDBAkYfPkxlWRm7li1j4+mcqsrLeX/gQAYmJnLTuHEUZmWx4YUXOGiD5+gMHfoRb799F1lZfyc/\nv5T587eRmLgdgMjIEAICqlcp1607yLhxX/HRR0Np3tyfn376hTvvXEZZWfW/wZde2kRAgBc7djyB\nu7sbX3yxj6eeWtPk+VwMe9saXB9DRkZGgy7hLF++HC8vL4YMGVLr+dtuu41169Y1OJDw8PAGf4+I\niJyVWctL4S/XW2+9Ve/5UaNGWf1niu012lz/d/t7RYRV2W7Rr0nk7LZ1BI3vh4oL93FkP9o6gEY2\niUm2DqHRZWRY/923k8Lrf9r6pEz7edBmg9eB77vvvnrPX8pkJiIi9kkrr65Jc72IiOuwt3e51se+\nNjGLiIhdUfEqIiLi3Bxp27CKVxERqZMeyiQiIuLcKnC3dQgXTcWriIjUSSuvIiIizk3bhkVExCmo\neBUREXFujvSeVxWvIiJSp6baNnzq1ClmzpxJSkoK7u7u9OjRg9GjR+PlVfuE+ttvvzFz5ky2b9+O\nn58fd955J4899liTxCoiIuJMGutdrnPmzGHlypVWfb2am9VGEhERp1NVVVXvYS3Tpk2jtLSU//zn\nPyQmJnL06FESExPr7D9hwgRat27Np59+yr/+9S+2b99OcnKy1eIRERFxFWV41XtcivT0dNatW4fB\nYLBqrCpeRUSkTk1RvObm5rJ582Yef/xxAgMDCQ0NZdiwYXz55ZdUVlZa9E9JSSEzM5MRI0bg4+PD\n7373O+bPn0+XLl2sEo+IiIgrKcW73qOhTCYTb775Jvfee6/VY1XxKiIidTKZTPUe1nDgwAHc3d25\n+uqra9qioqIwGo0cO3bMov/u3btp164d77zzDvHx8TzwwAN89FH9L1gXERGR2lXiXu/RUJ9//jne\n3t7069fP6rHqnlcREalTUzywqaCggICAALO2wMBAAPLz8y36Z2dns2fPHnr27MlHH31ESkoKEydO\nJCIightvvLHR4xUREXEm1nzPa05ODkuWLGH27NlWG/NcKl5FRKRO1ipe169fz9SpU83ufTGZTBgM\nBoYPH17n99V2r4zJZCI4OJh77rkHgB49enDzzTezadMmFa8iIiINdClbg+syb9487rzzTtq0aUNW\nVpbVxj1DxauIiNTJWluD4+LiiIuLq/Xctm3bKCwsrClmoXo1FiA4ONiif0hIiMVKbatWrUhLS7NK\nrCIiIq7kUrYG12b79u3s2bOH5557DmicNxaoeBURkTo1xbbhyMhITCYTBw4cIDIyEoC0tDQCAwO5\n8sorLfq3bduWDz/8kJKSEnx8fADIysqiVatWjR6riIiIs7HWe143bNhAbm5uzc6oM8/HGDRoEKNH\nj6ZPnz6X/TP0wCYREalTUzxtOCgoiFtuuYVFixaRn5/PyZMnWbp0KQMGDMDNrXqaGjNmDF9//TUA\nvXr1IjAwkAULFlBSUkJSUhLfffcdd9xxh1XiERERcSVleNd7XKyRI0fy3nvvsWjRIhYtWsTrr78O\nwKJFi7jhhhusEqtWXkVEpE6NseWnNmPGjGHmzJncf//9eHh4EBcXZ3YvbGZmJqdOnQLA29ubN954\ngxkzZhAfH09wcDBjxozh+uuvb5JYRUREnIm1tg0HBASY3dZTUVGBwWAgNDTUKuODilcREalHU2wb\nBvD392fixIl1nv/ggw/Mvm7bti1vvfVWY4clIiLi9ErLLrRt+NIuZLdq1YqNGzde0vfWRcWriIjU\nqamKVxEREbGNspILbQ0uaZI4LoaKVxERqVNTbRsWERER26issM624aag4lVEROqklVcRERHndsGV\nV0NR0wRyEVS8iohInVS8ioiIOLmSC9zz6ts0YVwMFa8iIlInbRsWERFxchUGW0dw0VS8NhGDwXH+\nUYg4IxVhl0Yrr2JVkbYOoHEZPphk6xBEXNokJtk6hCaQYP0hL/Q8pkDr/8hLpeJVRETqpKJfRETE\nyVXYOoCLp+JVRETqpJVXERERJ2c/b8K5IBWvIiJSJxWvIiIiTk7Fq4iIOANtGxYREXFy2jYsIiLO\nQCuvIiIiTk4rryIi4gxUvIqIiDi5YlsHcPFUvIqISJ20bVhERMTJVdo6gIun4lVEROqklVcREREn\np23DIiLiDFS8ioiIODkVryIi4gy0bVhERMTJ6WnDIiLiDLTyKiIi4uT0wCYREXEGKl5FREScXKmt\nA7h4Kl5FRKRO2jYsIiLi5LRtWEREnIFWXkVERJyctg2LiIgzaKri9dSpU8ycOZOUlBTc3d3p0aMH\no0ePxsvLq9b+n3zyCatWreK3334jLCyMQYMGMWTIkCaJVURExKlYedvwiRMnmDNnDjt27MDT05Nu\n3boxatQo/P39L3tsNyvEJyIiTspkMtV7WMu0adMoLS3lP//5D4mJiRw9epTExMRa+27dupXExETG\njx/PmjVrGDduHAsXLuSHH36wWjwiIiIuo+ICRwO9+OKLBAYG8vHHH5OYmMiRI0eYP3++VUJV8Soi\nInWqqqqq97CG3NxcNm/ezOOPP05gYCChoaEMGzaML7/8ksrKSov++/fvp127dsTExADQoUMH2rVr\nR3p6ulXiERERcSklFzgaoLCwkOjoaBISEvD29iYsLIz+/fuzY8cOq4Sq4lVEROrUFMXrgQMHcHd3\n5+qrr65pi4qKwmg0cuzYMYv+3bt35+jRo6SkpFBRUcGePXs4duwY3bt3t0o8IiIiLsWKxWtAQABj\nx44lODi4pu3kyZM0b97cKqHqnlcREalTUzxtuKCggICAALO2wMBAAPLz8y36x8TE8OSTT/Lss89S\nVVWFu7s7Tz31FFFRUY0eq4iIiNMpb7yh9+7dyyeffMJrr71mlfFcZuW1b9++/PGPf6SkxPzywY8/\n/kjfvn1tFNXla9OmDWFhYWZt3t7eREZGWtwUHRwcTLt27ZoyvMum/M5yxPzANXI8wxk/Z6y18rp+\n/Xr69OlD3759a44zX2dlZdX5fQaDwaItOTmZt99+m2nTprF27VrefPNNli5dynfffXdJOYqDaHMT\nTDDC+KKzx4RieLmWG7Ie+tK87wQjvFQOt0yw7Bt9F7xcCVfd3Pg5XIQ2bYL44ov7yc5+jkOH/o/X\nXutXZ99Ro7qTljaSnJyxfP31X+nSpVXNOU9PN+bPH8CxY38jK+vvfPjhUJo182mKFOql/M5yxPzA\nOXO85rbb+HtmJkOWLbM4d9099zAiJYUX8vN57McfaXfrrXWO4x0UxJ+XL+fvmZk88/PP3LVwIe7n\nPHiwZceO/HXTJp7PzWXk3r30fOaZRsmnwUovcFyiXbt2MXbsWEaMGEGXLl2sEKgLFa8AZWVlzJ07\n16K9tl+OHEVRURF+fn5mbX5+flRVVVkUBn5+fhQVFTVleJdN+Zm3O1p+4Bo5nsvZPmes9cCmuLg4\nNm3axMaNG2uOM19HR0dTWFhoNl5BQQGA2bajMz7//HN69+5Nly5d8PT05Pe//z39+vVjzZo1l5+w\n2K9jm+FVP5jif/b45h+w+0PLvktvN+87rRUUZkLqSvN+nr5w+5tQVtg0OVyElSvv4fjxAtq2ncWt\nty5l8OAYRo/uYdFv4MAoXn75Fh58cBWtWs3gv/9NZ/XqB/Dxqd5U99prt9KlSyt69HiH6Og5uLkZ\nWLw4vqnTsaD8qjlqfuB8Od7w7LP0nzWL3/bvtzjXslMn4pcsYcPYsbwRFsbWN9/k3k8+ISA8vNax\n/rRoEZ6+vszt0IGFsbGEdehA3BtvAODu7c39q1dzaMMGZoSHs/K++7hp3Dii4+3g79XKD2wC2LJl\nCy+88AKjRo1i8ODBVgrUxYrXUaNGsWzZMo4ePWrrUKymqKgIb29v3NzO/lX6+flRUFBgUTD4+vo6\nXGGg/M5yxPzANXI8l7N9zjTFPa+RkZGYTCYOHDhQ05aWlkZgYCBXXnmlRf/KykqLn11e3oh7nsQ+\nBV0JPZ+Bdc9duG+/KbD3U8hOM2//4yQ4tAGMvzZKiA0VGxtOx44tef759RQVlXPoUC4zZ24lISHW\nom9CQlcWL05h+/ZMysoqmTZtCyaTibvuisJggEcf7cwrr3xLZmYh+fmljB+/kYEDo2jZ8vJfVXGp\nlN9ZjpgfOGeO5cXFvNO9OzkHD1qc6zp8OOn//S8H162jqryc3R98wIldu+j44IMWff2aNycmPp6v\nxo2jJC+PohMn+HbyZDo9/DAGNzeiBg7E3dOT/02ZQkVJCVkpKSS/8w6xCQlNkWb9rHjPK8DuM9u5\nqwAAEmtJREFU3bt5/fXXeeWVV4iLi7NioI1QvJ48edLaQ1pN+/btuffee3nllVdsHYrVlJSUUFVV\nZVYE+Pr6kpeXh4eHBx4e1Ve3fHx8cHNzw2g02irUS6L8HDs/cI0cz+VsnzNNUbwGBQVxyy23sGjR\nIvLz8zl58iRLly5lwIABNRc9xowZw9dffw3AjTfeyDfffMOuXbuoqqpi7969bNq0id69e1slHrkw\nu5jr+7wCyYvgVEb9/UKugY4PwqZJ5u0tfl/dvmEc2MnOiK5dwzlyJI9Tp8pq2pKSMomODsXf39Os\nb2xsa5KSMs3aUlKy6NYtgvbtQwgK8iE5+ez5/ft/o7i4gtjY1o2bRD2U31mOmB84Z44/zZ1LWWHt\nuy/CY2PJTEoya8tKSqJ1t24WfVt17kxVRQXZqak1bZlJSXgFBBAWE0N4166c2LnT7Hsy6xiryVmx\neK2srGT69OkkJCQQG2t5UeNyNah4LSoqYvr06Tz00EOMGTOG5ORkiz4PPfSQ1YJrDCNHjm
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