{ "cells": [ { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# 確率ロボティクス2017第9回-1\n", "\n", "上田隆一\n", "\n", "2017年11月15日@千葉工業大学" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 今日やること\n", "\n", "* 強化学習(古典的なもの)\n", "* 参考: [Sutton and Barto, 三上, 皆川訳: 強化学習, 森北出版, 2000.](https://www.amazon.co.jp/dp/4627826613)\n", " * [ウェブ版 ](http://webdocs.cs.ualberta.ca/~sutton/book/ebook/the-book.html)\n", " * [そろそろ第2版が出るらしい](http://www.freetechbooks.com/reinforcement-learning-an-introduction-second-edition-draft-t1282.html)\n", " \n", "## 強化学習(reinforcement learning)\n", "\n", "* 機械学習の一種\n", " * 起源: 動物の心理学研究から[宮崎2005]\n", " * 餌にありつけるような/危険を避けるような行動の学習\n", " * 最近ANN(人工ニューラルネットワーク)との組み合わせで脚光を浴びている\n", " \n", "## 基本的な強化学習の問題\n", "\n", "* 有限MDPでの行動決定の問題に一つ制限を与える\n", " * 状態遷移と報酬が、行動しないと分からない。\n", "* 問題の定義\n", " * 時刻: $\\mathcal{T} = \\{t | t = 0,1,2,\\dots,T \\}$\n", " * 状態: $\\mathcal{S} = \\{s_i | i = 1,2,3,\\dots,N\\}$\n", " * うち、いくつかは終端状態の集合$\\mathcal{S}_\\text{f}$に含まれる\n", " * 行動: $\\mathcal{A} = \\{a_j | j = 1,2,3,\\dots,M\\}$\n", " * 状態遷移$\\mathcal{P}_{ss'}^a$や報酬$\\mathcal{R}_{ss'}^a$は時不変だが自明でない\n", " * ある確率分布に従って状態遷移する\n", " * ある法則に従って報酬が与えられる \n", "\n", "## 何を求めたいのか\n", "\n", "* 「最適方策」を求める\n", "* 方策(二種類)\n", " * 決定論的方策: $\\pi : \\mathcal{S} \\to \\mathcal{A}$\n", " * 状態が決まると行動が決まるもの\n", " * 確率的な方策: $\\pi : \\mathcal{S}\\times \\mathcal{A} \\to \\Re$\n", " * 状態$s$において行動$a$を選択する確率\n", "* 最適方策は決定論的になる(理由は次のページに)\n", " * $\\pi^* : \\mathcal{S} \\to \\mathcal{A}$\n", " \n", "## 問題を解く道具\n", "\n", "* ベルマン方程式が成り立つ\n", " * $V^*(s) = \\max_{a \\in \\mathcal{A} } \\sum_{s' \\in \\mathcal{S}}\\mathcal{P}_{ss'}^a [V^*(s') +\\mathcal{R}_{ss'}^a ]$\n", " * $V^*$: 最適状態価値関数\n", " * 左辺の「$\\max_{a \\in \\mathcal{A} }$」を満たすものが最適方策$\\pi^*$\n", "* エージェントの「経験」\n", " * 状態遷移: ある状態$s$で行動$a$を選択したら状態$s'$に遷移して報酬を得た\n", " * たくさん行動すれば統計的な性質が得られる\n", " * たくさん行動しなければ統計的な性質が得られない\n", " \n", "## 問題の難しさ\n", "\n", "* 価値関数に停留点が一つでもあると、エージェントがその場に留まってしまう\n", "* 膨大な試行が必要\n", "\n", "## 方策を求めるには\n", "\n", "* 何か適当な初期の方策を与えて価値関数がよくなるように方策を改善していけば良い\n", " * でもどうやって行動を選ぶのか?\n", "* 様々な方法があるが本講義ではTD学習を説明\n", "\n", "## TD(temporal difference)学習\n", "\n", "* 行動した時に次の式で価値を更新\n", " * $V(s) \\longleftarrow (1-\\alpha)V(s) + \\alpha[r + \\gamma V(s')]$\n", " * $\\alpha$: ステップサイズパラメータと呼ばれる\n", " * $\\gamma$: 割引率\n", "* 移動等の問題の場合は1で考えておいて良い\n", "* 行動するたびに上の式で価値を更新\n", "* 方策オン型(Sarsa)とオフ型(Q学習)\n", " * 学習中の行動決定と評価を切り離すのがオフ型\n", "* 今日はワンステップのものしか扱わないが、一度の行動でいくつかの状態を変更する効率の良い方法も(TD$(\\lambda$))\n", "\n", "## Sarsa\n", "\n", "* 方策ON型TD学習\n", "* 行動価値を学習\n", " * $Q(s,a) \\longleftarrow (1-\\alpha )Q(s,a) + \\alpha[r + \\gamma Q(s',a')]$\n", "* 手順\n", " 1.$Q(s,a)$を初期化\n", " 1.$\\epsilon$-グリーディ方策等から行動$a$を選択\n", " 1.行動$a$をとり、$s'$に移った後、次の行動$a'$を選択\n", " 1.上の式で$Q(s,a)$を更新\n", " \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 実装してみましょう\n", "\n", "### エージェントの定義\n", "\n", "価値反復と違ってエージェントを実際に動かしながら学習するので必要となる。" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "class Agent:\n", " def __init__(self):\n", " self.actions = [\"up\",\"down\",\"left\",\"right\"]\n", " self.pos = (0,0)\n", " \n", "agent = Agent()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 環境の定義\n", "\n", "先週よりややこしいので状態をクラスにします。雑なので各自リファクタリングのこと。" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "size = 3\n", "\n", "class State:\n", " def __init__(self,actions):\n", " self.Q = {}\n", " for a in actions:\n", " self.Q[a] = 0.0\n", " self.best_action = \"up\"\n", " self.goal = False\n", " \n", " def set_goal(self,actions):\n", " for a in actions:\n", " self.Q[a] =0.0\n", " self.goal = True\n", " \n", "states = [[State(agent.actions) for i in range(size)] for j in range(size)]\n", "states[2][2].set_goal(agent.actions)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 描画" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt \n", "import matplotlib.patches as patches\n", "\n", "def draw(mark_pos):\n", " fig, ax = plt.subplots()\n", " values = [[states[i][j].Q[states[i][j].best_action] for j in range(size)] for i in range(size)]\n", " mp = ax.pcolor(values, cmap=plt.cm.YlOrRd,vmin=0,vmax=8)\n", " ax.set_aspect(1)\n", " ax.set_xticks(range(size), minor=False)\n", " ax.set_yticks(range(size), minor=False)\n", " \n", " for x in range(len(values)):\n", " for y in range(len(values[0])):\n", " s = states[x][y]\n", " plt.text(x+0.5,y+0.5,int(1000*s.Q[s.best_action])/1000,ha = 'center', va = 'center', size=20)\n", " if states[x][y].goal:\n", " plt.text(x+0.75,y+0.75,\"G\",ha = 'center', va = 'center', size=20)\n", " \n", " plt.text(agent.pos[0]+0.5,agent.pos[1]+0.25,\"agent\",ha = 'center', va = 'center', size=20)\n", " \n", " if mark_pos == \"all\": # 指定した位置にactionの文字列を書くという処理\n", " for x in range(size):\n", " for y in range(size):\n", " if states[x][y].goal: continue\n", " plt.text(x+0.5,y+0.25,states[x][y].best_action,ha = 'center', va = 'center', size=20)\n", " elif mark_pos != None: \n", " s = states[mark_pos[0]][mark_pos[1]]\n", " plt.text(mark_pos[0]+0.5,mark_pos[1]+0.25,s.best_action,ha = 'center', va = 'center', size=20)\n", " \n", " plt.show()\n", " fig.clear()\n", " \n", "draw(None)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 状態遷移の実装" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "import random\n", "\n", "def state_transition(s_pos,a):\n", " ###確率10%で元のまま ###\n", " if random.uniform(0,1) < 0.1:\n", " return s_pos\n", " \n", " x,y = s_pos\n", " if a == \"up\": y += 1\n", " elif a == \"down\": y -= 1\n", " elif a == \"right\": x += 1\n", " elif a == \"left\": x -= 1\n", " \n", " if x < 0: x = 0\n", " elif x >= size: x = size-1\n", " if y < 0: y = 0\n", " elif y >= size: y = size-1\n", " \n", " return (x,y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 方策($\\epsilon$-greedy)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def e_greedy(s):\n", " if random.uniform(0,1) < 0.1: #10%でランダムに\n", " return random.choice(agent.actions)\n", " else:\n", " best_a = None\n", " best_q = 1000000000\n", " for a in s.Q:\n", " if best_q > s.Q[a]:\n", " best_q = s.Q[a]\n", " best_a = a\n", " s.best_action = best_a\n", " return best_a" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1ステップの処理" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "s:(1, 1) a:down s':(1, 1) a':down\n", "----\n", "s:(1, 1) a:down s':(1, 0) a':down\n", "----\n", "s:(1, 0) a:down s':(1, 0) a':down\n", "----\n", "s:(1, 0) a:down s':(1, 0) a':right\n", "----\n", "s:(1, 0) a:right s':(2, 0) a':down\n", "----\n", "s:(2, 0) a:down s':(2, 0) a':down\n", "----\n", "s:(2, 0) a:down s':(2, 0) a':right\n", "----\n", "s:(2, 0) a:right s':(2, 0) a':right\n", "----\n", "s:(2, 0) a:right s':(2, 0) a':up\n", "----\n", "s:(2, 0) a:up s':(2, 1) a':down\n", "----\n", "s:(2, 1) a:down s':(2, 0) a':left\n", "----\n", "s:(2, 0) a:left s':(2, 0) a':left\n", "----\n", "s:(2, 0) a:left s':(1, 0) a':up\n", "----\n", "s:(1, 0) a:up s':(1, 0) a':up\n", "----\n", "s:(1, 0) a:up s':(1, 1) a':right\n", "----\n", "s:(1, 1) a:right s':(2, 1) a':right\n", "----\n", "s:(2, 1) a:right s':(2, 1) a':right\n", "----\n", "s:(2, 1) a:right s':(2, 1) a':up\n", "----\n", "s:(2, 1) a:up s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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"s:(0, 1) a:right s':(1, 1) a':right\n", "----\n", "s:(1, 1) a:right s':(2, 1) a':left\n", "----\n", "s:(2, 1) a:left s':(1, 1) a':up\n", "----\n", "s:(1, 1) a:up s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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"----\n", "s:(1, 1) a:left s':(0, 1) a':up\n", "----\n", "s:(0, 1) a:up s':(0, 2) a':up\n", "----\n", "s:(0, 2) a:up s':(0, 2) a':up\n", "----\n", "s:(0, 2) a:up s':(0, 2) a':left\n", "----\n", "s:(0, 2) a:left s':(0, 2) a':left\n", "----\n", "s:(0, 2) a:left s':(0, 2) a':left\n", "----\n", "s:(0, 2) a:left s':(0, 2) a':down\n", "----\n", "s:(0, 2) a:down s':(0, 1) a':left\n", "----\n", "s:(0, 1) a:left s':(0, 1) a':left\n", "----\n", "s:(0, 1) a:left s':(0, 1) a':down\n", "----\n", "s:(0, 1) a:down s':(0, 1) a':down\n", "----\n", "s:(0, 1) a:down s':(0, 1) a':up\n", "----\n", "s:(0, 1) a:up s':(0, 2) a':right\n", "----\n", "s:(0, 2) a:right s':(1, 2) a':left\n", "----\n", "s:(1, 2) a:left s':(0, 2) a':up\n", "----\n", "s:(0, 2) a:up s':(0, 2) a':up\n", "----\n", "s:(0, 2) a:up s':(0, 2) a':down\n", "----\n", "s:(0, 2) a:down s':(0, 1) a':right\n", "----\n", "s:(0, 1) a:right s':(1, 1) a':down\n", "----\n", "s:(1, 1) a:down s':(1, 0) a':left\n", "----\n", "s:(1, 0) a:left s':(0, 0) a':up\n", "----\n", "s:(0, 0) a:up s':(0, 1) a':left\n", "----\n", "s:(0, 1) a:left s':(0, 1) a':left\n", "----\n", "s:(0, 1) a:left s':(0, 1) a':up\n", "----\n", "s:(0, 1) a:up s':(0, 2) a':right\n", "----\n", "s:(0, 2) a:right s':(0, 2) a':left\n", "----\n", "s:(0, 2) a:left s':(0, 2) a':down\n", "----\n", "s:(0, 2) a:down s':(0, 1) a':down\n", "----\n", "s:(0, 1) a:down s':(0, 0) a':up\n", "----\n", "s:(0, 0) a:up s':(0, 1) a':right\n", "----\n", "s:(0, 1) a:right s':(1, 1) a':right\n", "----\n", "s:(1, 1) a:right s':(2, 1) a':up\n", "----\n", "s:(2, 1) a:up s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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NpH3P+fy9U/lVrY8epVHBbixteyj3fHv6NAMDh3FIVUez7m/lziu/rj6GVHU0qzb455V1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\nG1XE3saMqJg7JVLP9B8OsHl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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(2, 0) a:up s':(2, 1) a':right\n", "----\n", "s:(2, 1) a:right s':(2, 1) a':right\n", "----\n", "s:(2, 1) a:right s':(2, 1) a':up\n", "----\n", "s:(2, 1) a:up s':(2, 1) a':up\n", "----\n", "s:(2, 1) a:up s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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7yczKwbGeJT5dm+BU37oyQ9QqXWufapvg12+mMXbaL0plrg1sWbXEnx5dmmgp\nKt2WdCmFgCOxmJjUpHvnxmrXWbw8QOmzoaEBr4zpyqLPRmFsbFQZYWqNLrZPtUzwcaO60K1TY1o0\nccTMtBbxSbdZ+ssBlq89Qr/RSwjd8QFt1FwIqc6ysnIYM2UlWVm5fDXzBaws6ygtd21gy/fzR+PX\nszlODlakpWcQdOwCH362mWW/Hebe/Uz++HmilqKveLraPtXyeHTWu8/j260Z9nbmmJjUomUzR37+\nZiwzJvcmIyOb2V9v03aIOiUvL5+x034hOOwCIwc/wzvT/FTW6dGlCa9N8MXDvR4mJrVwsLdk+PNe\nBP7zDlaWJqzfHEZU9CUtRF/xdLl9qmWCF2Xyyz0AOHw0TsuR6I68vHxemrqSv7adYMQgL9b9OKFM\nF7WcHa3p36sVAIePnq+oMLVG19unWh6iF6WurSkADx5maTkS3ZCTk8uYKYqd98WhHfjthwlPdRGy\nrq0ZAA8eZms6RK2qCu0jEvwJR4/HA+DWsK6WI9G+7OxcRryyjK27I/nfiM6sWuKPgcHTHfAdO5EA\ngFtDW02GqFVVpX309hA9JyeXs3HXuJhwU6k89vw1HjxQ7aETk2/z2ofrAXjphY6VEqMmFbW9TyMr\nK4ch/j+ydXckE8Z0LdXOezwyUaUsPz+f+Yt3Enr8IrY2pvT1bVnu2J5WdW2fKtWDb9kZwZZdEQBc\nv3kPgNDj8fi//isAttZmfDNnOABXrqXSzHsmDZ1tSDyxoLCOjVvC+fanvXTv7EFDJxvMTGtxMfEW\nO/afJjMzh/7PtuKdqX0qecvU08T2lrUegMnvrmPn/tPY2pjiWM+Sud9sV4mtp3cTeno/vp34jN/n\ntGzmSJvmTjg6WJJ2L4Pg8ItEx17BxKQmv//4CuZmtTXSLk+zXdWxfaCKJXhk9CXWbAxVKotPukV8\n0i0AGjrbKP1DqOPTtQnnLl4n4vQlgsMu8OBhNpYWtenaoRFjh3di7IjOOjNSThPb+zT1JCTfBuB2\nyn3mfqu68xZ4cgd+Z6ofYRGJHAg6y53UBxgYGNDA0Zpp432YMbk3bi6aP+0R7VMySZZljVfq5eki\nH9/3icbrFQRBQbKbeEKWZa+S1tPbc3BBEESCC4Jeq1IJ3nPw10h25R/ON/urbUh2EzkYfE4DUekW\n0UbCk6pUgmuTphJHn4k20j1V6ir6b0vH8zBDv0ZDaZpoI+FJVSrBGzjZaDsEnSfaSHiSTh2iJybf\nRrKbiP/rv3L+4nVGTlyGXfMZGNhP4mDwuSIPAbOycpj91TbcvD6kltMUXL0+4JP5/5CVlYNkN5Ge\ng78u8m9u+vcEHfp8jknDaViDN2bTAAAXYUlEQVR7vMmoScu5cu2uSkyHQhQPAkh2Ewv/K67eiiLa\nSHMOBp9DspvI7K/UPz3o0v4DXNp/UPh59YZgJLuJrN4QzI59p+jSfwF1XKZh1fhNXhj/E3HxNyor\n9FLTyR78YuItOvadj4e7PWOGdSQjIxtzM2O168qyzLDxP7Fj32kau9nx2ngfcnLzWL0hhJizV4v9\nOz+uCmTbniie79OGHp09OHYygY1bwomKuUTkgZnUqmWEpYUJs94ZyOqNISRdSmHWOwMLv+/SQHu9\npWgj7dm8I4JdAdEM6e9JT28PIqMv8ff2kwQGnyNkxwc0aVRP2yEW0skEDzp2gQ/f7McXHw8tcd11\nfx1lx77TdOvUmP2bZlCzpmKT5r4/iE795hf73d0HYgjf8zGtmjsVlr04eQXrN4exdXckIwY9Uzg5\n48GQcyRdStGZiRpFG2nPv3ui+Hfdazzn16awbPHy/Uz/ZCNT3/+dgL/f1mJ0ynTqEL2AfV1zpV6g\nOAVDDD/7cHDhjguKWVM/nTGg2O++MdFXaccFmPhSNwDCTiaWIeLKJ9pIe3y7NVVKboDXJvji7lKX\nA0fOFjnnvjboZIK3aeFErVqlm58qIjoZAwOJLs+4qyzr2lH9vFgFvNq4qJQ5P5oA727ag1L9fW0R\nbaQ9PTp7qJQZGhrQtWMjACJOJ1d2SEXSyQSvZ2dR6nXT7mVgbVVH7SyW9nXNi/2upYWJSlmNGoom\nycvLL3UM2iDaSHuKarOCf5O0exmVGU6xdDLBy/Iwl7mZMXfuPiA3N09l2Y1b9zQYlW4RbVR+BgaK\nRszNU20XgNS0h2rLi2qz6zfTAMVbc3SFTiZ4WbRt1YD8fJmQcNWJ5oOOaW5utYKpeKpiryXaSD2r\nR0cnl67cVVl2If5mkT3xoVDVudPy8vIJOnYBQO1LEbSlyif4/4Z3BuCT+VvIzs4tLE+795B5C3do\n7O/YWCmmwU2+rDsXUEpLtJF6TRvXw9ysNlt3R3LziV45IyObNz5eX+T3Dhw5y/a9UUplS385wMXE\nW/h0bUJDZ925NaiTt8nK4n8jO7NhSzi7D0TTsvssnu/jSU5uHn9vP8Ezni6cu3C98FCsPHp1a8Zf\n204wdNxP9H+2FbWNjWjoZMPYEZ01sBUVS7SRekZGNXhzYi/mLdxO217zGNK/Lbm5eew7FEv9ehbU\nr6f6bjGAgX3aMMT/J4b096SRqx2R0ZfYFRCNtVUdfvxyTCVvRfGqfA8uSRL/rJ7KpzOeIyc3j+9/\nOcDW3ZG8PLILSxe8CIC5afnPiV55qRsfvtmPtHsZfLV0D58u2MovfwSVu97KINqoaHPef575nwzF\nuJYRy9ceZmdANMOea8eejdMLX0P0X0MHtOWf1VO4dOUui1cEEBJ+kaED2hG68wOaNnao5C0onl7P\n6LLv4Bn8RnzHB2/0Y/4nJQ8IqY5EG5VewTu+Vy3xr9Q3hKpTrWZ0uXo9VaUs5c59PvjsbwCG9G9b\n2SHpHNFG1VOVPwcHmDHzT6JiLtHlGXfq2phx+epddh2I5s7dB7z6v+50aOeq7RC1TrRR9aQXCT50\nQFtu3LrHv3tPkZr2EONaRrRoUp8JY7oyYUxXbYenE0QbVU96fQ4uCPqqWp2DC4KgnkhwQdBjIsEF\nQY+JBBcEPVZigkuS9KskSTclSYqujIAEQdCc0vTgq4G+FRyHIAgVoMQEl2X5MHCnEmIRBEHDNHYO\nLknSJEmSjkuSdPxWSrqmqhUEoRw0NpJNluXlwHIAr1b1Zfn+FU1VrX+M6mg7At2WfV/bEegNcRVd\nEPSYSHBB0GOluU22HggFmkiSdFmSpAkVH5YgCJpQ4jm4LMujKyMQQRA0TxyiC4IeEwkuCHpMJLgg\n6DGR4IKgx0SCC4IeEwkuCHpMJLgg6DGR4IKgx0SCC4IeEwkuCHpMJLgg6DGR4IKgx0SCC4IeEwku\nCHpMJLgg6DGR4IKgx0SCC4IeEwkuCHpMJLgg6DGR4IKgx0SCC4IeEwkuCHpMY68u0qRNO2M4FJZE\n1JnrRJ29Tvr9bMYMasXa74aVuo7VmyIY/97WYtcxMJDIvTCr8HPi5bu4dV9c5Pojn2vB+iXDSx1D\neW3acYpDR+OJirlKVOxV0u9nMWZIW9YuebFC64lLuMXmXdHsPXSOuITb3Lh9HyuL2nRq24A3X+mG\nT5dGKt9Z/Wc449/+s8gYfvxiKJPHdi5T3CXZtOsMh44lEhV7Q3k/WTi0TPW8/+U+Tpy+xvmEFG7f\nfUht4xo0dLRkUO8mvDa2AzZWJkrrj3t3C2s2RxVbp29nV/av+1/h59WbIhn/ftH744/zBjD5Ra8y\nxV0aOpngn/9wmKjYG5jWqYlTPXPO3r9d5jo8m9dj5hs91C4LCk/mQGgC/Xqo7qgAbZrZM6h3U5Xy\nlh52ZY6jPD5fsp+oM9cwrVMLJwcLzl64WSn1zPx6Dxv/jaK5hz39fJtibWnC+Yu32LbvDNv2nWHR\nnEG8Mb6r2u8O8mtBmxb1Vcq9Wjs9VezF0cR+ArBo1VHatXDg2a5u2NnU4cHDbI5FXmHO4kOs2HCS\n0E0TcK5vUbj+oN5NaehkqbaudVtOEZ98l75F7FuDnm1Cm+b1VMq9Wqq2mSboZIIv/KQvTvXMaeRi\nzaFjifi+uKbMdXg2d8CzuYPaZV2GrQRg4uj2RXy3HrOn+5T5b2rawlnP4+RgQSMXWw4djcd3xM+V\nUk+fnk14b6oPbVs6KpUfCr2I35gVvPf5doYPaI2DvbnKdwf1aYH/iGeeKs6yWvhxnyf2kyR8x5R9\nPwFIi/oQ41qqqfDxNwHM/ymI+T8H8ePcAYXlg/2aMthPtQNIvZfJ18uDqVnTEP9hnmr/1qDeTfF/\nQf2yiqCT5+A+nV1p7GqDJEkar/v02RscjbiMYz0zBvh4aLx+TfLp0ojGrnXL3Q5lrcd/xDMqyQ3Q\no7M7PTu5kZ2dR8iJxHLFpAma2k/UJTfAiAEtALiQeKdU9az9J4qMzFyG+jXD1tqk5C9UAp3swSvS\n8g0nABg/vB2Ghup/367eSGfZH8dJufsQGysTOrd1onUz1cOq6sjIyBCAGkW0XeSZqyxaeYTMrBwc\n61ng08UdJwf1h7O67t+A8wC0alq6U7OVG08CMHFUuyLXiYy9zqJVR8nMysXR3gyfTq44OageCWlK\ntUrwjMwcft9yCkNDiVdGFv2PsC8onn1B8UplPTu5sPrrwTRwrJo7qyYkXb5LQPAFTGob0b2jm9p1\nlvwSpPTZ0NCACaM7sGjW8xgbG1VGmE/tmxUh3H+YTVp6JidOXyPoeDKtm9rzwavqrzc8KfTkJU6f\nu4mHqw0+nV2LXG/J6mNKnw0NJSaMaMeiT/sWeSRRHtUqwf/cEUPqvUwG+DRWumhSwMTYiE9e787g\n3k1xa2AFwKmzN5iz+CCBoYk8+9JvROyYTB2TmpUcufZlZeXy0ht/kJWVy5cfD8DKUvkQ1NXZmiXz\nBuPX3QMnBwvS7mUSFJ7ARwt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LnPS/QXBoHCFX43n67CUjBrVm4x/ji1SOY4tZxMYlKl1nVdWYhKs/qyLcElPV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\nppKaKjLmIdG3CjdCzcxED0mSuKUhHZF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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(1, 1) a:left s':(0, 1) a':up\n", "----\n", "s:(0, 1) a:up s':(0, 2) a':right\n", "----\n", "s:(0, 2) a:right s':(1, 2) a':up\n", "----\n", "s:(1, 2) a:up s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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lryflPmtrazF1bCdWLBxO3bo6Ko+pRib4pNEedO3oQvMmNujr1SE2/h6rfzvB\n2k2n6TdmFQEHPsatheIlWHV09+ml9JK1frg2asCpv6bS2tWS64mpzP36CEdPRzPynW34bJtSuIwk\nSexYM5oFK334arUvEdeSC6f16uzE2MGtqFVLW2Fdz5PJZPy2/QIA08e0rYAtUy/Z2TmMe2cj2dm5\nfPf5YIyNdOWmO9qZ8sNXr+LVvRm2VkakZ2Ry5nwsn3y9j182+fHgYRZ/rpmo8rg063q0lObPHUTP\nrs2wMDdAV7cOLZrZ8POSCcx5szeZmU/w/n5fVYeoMvn5MgBqaWux99dxdGlnj179OrRsasnuX8Zg\na2WA77k4Ai4mFC6TlZ3D6BnbWfarH6sXvsKt8x+SdukzDqyfQPzNNLqP+o29R68Uu95/z8QQm5BK\nmxbWKm9cUzd5eflMeHcTfoGxjBrchg/e6qUwT3cPF2ZM7k5jZ3N0dWtjZWHIiIHu+OycibGRLlv/\nvkBo+A2Vx1YjE7wob77eHYBTZ69VcSSqY2RQFwD35lY42Mrf6+nWq41XVxcAzofeLCz/5qfT7DgY\nzpfvv8wbY9th2UAfA/269OvRmB0/jiYnJ4/ZCw8Wu951Wwsa16Zp+Nk7Ly+f8TM2smN/MCMHubN5\n9WtlavSzszGmf09XAE6djVF5fCLBn9PATA+AR49f/PdmddPEyQz4L9H/n7FhQXlmVk5h2YGnDWme\nnRwV5ndztcLYsB7xN9NISX2stM679x6y999IjW9cy8nJY8xbG9i25yJjh7blzzUTS7x1UaaBacUd\ndyLBn3M2KBYAJ/sGVRyJ6vTycEaSJCKu3SU/P19henhUQaObo91/Z/fsJ7kAJN9XTODs7FwyHhUc\niLV1lB/M63deJCcnj9EDW2ls49qTJ7mMmPYbO/YH89qI9mxaPeGFf4E5FxwPgJO9mSpDBDQ4wXNy\ncom8dpuY6/KtxleibvPokeI3ZVzCPWZ8shWA8a92qJQYVSknJ4/ImGRi4u/LldvbGjGwVxMSbqWz\ncv1ZuWlHT0Vz5FQ0RgZ16dvNpbC8SzsHABav8SU7O1duGe+VJ8jNzaddKxulyft849obY9Xn8jwn\nJ4/Ia0nExCWXPHMJsrNzGDp5HXuPXGbK2E6sXzFOob/A/wsKSVAoy8/PZ/GqowQEXcfMRI++ns3K\nHdv/q1at6HsOBrPnUDAASXcfABAQFMvEdwt6eJmZ6LNkQUE/7Zu302jW+Qvs7UyJu/BNYR3b9wSy\n9KejdOvUGHtbU/T16hATl8yBfy+TlZVD/5db8sHbfSp5y5TbczSCvUcjAUhKzgAgIDiRSR/sBsDU\nWJcln/UF4OadB7i+vAp7GyP9GUwsAAAa60lEQVSun3lfrp7VC18hOOI27395iIM+V2ntakVcYip7\njkWirS2x7pshGD53Cf/ZO93553gkx/1iafbySvp0d6FeXR38gxI4H3qDenV1WDG/v9KYT/jHEh13\nnzYtrHmpZcU2ru05FMqew5cASLr7dP9ciGPirE0AmJnosWR+QW+7m0lpNOv2Ffa2JsQFLnjhegDe\n/Gg7B49HYGaih42lIQuXHVaIrYeHCz08/vvSbNfve1o0tcLN1QYbKyPSH2TiFxhLWORtdOvVZsuP\nr2GgX08l++V51SrBQ8IS2bg9QK4sNj6Z2PiCb2V7O9PCBC+KZ5cmXI1JIvhyIn7no3n0+AlGhvXo\n0r4RE0Z0ZMLITmrTUy4kIomNu4LlymITUolNSAXA3saoMMGLY2tlSNC+t1i4yof9/0Zy6nw8Bnp1\nGNirCR+/1Y32reX7RttYGnBh/9t8+/NpDvpcZcOOYPJlMqwa6DHxVXc+fLMrTZ2V38ZUZuNaSPhN\nNv51Xq4sNv4esfH3ALC3NZFLTFXVcz2h4EGle/cfKk3uZ55P8A/e6sX54HhO+EVxP+0xWpJEQxtj\n3pnUlTlv9KyQy3MASSaTqbzStq0dZEHH5qm8Xk0he/TiD8nUBFJdo5JnquEkq3cvyGSyEr9FNfYe\nXBAEkeCCoNGqVYL3GPI9kvm0ctfj/d0+JPNpnPS7qoKo1EfcjVS0HD8vbIR7UTk5ecxffpzGnsup\n28QbLcfP2XM0QkVRCpWpWiV4VVLVl0t1sPRXPxatOom1uQHvT+3MF7M8aercQGVfIELlqVat6H+s\nnszjzCdVHYbGO3Ci4BHPo5tel3t+PO5GahVGJbyIapXgDW1NqzqEGuHWnQxMjXSVDg4hVC9qdYke\nl3APyXwaE9/9naiYJEZN+wVz1zloWUznpN/VIi+Ts7Nz8P5uH05tP6GO7Vs4tv2YeYv/Jjs7B8l8\nGj2GfF/kOnfuv0D7Pl+ha/8OJo1nMXr6Wm7e/u9M9SwmX/8oACTzaYX/iqtXnTzOfMLiNb649/8R\nPdeF6DdfhMewtWzdd0luvkkf7EbL8XOuJ6YSfzMNLcfP0XL8HMcuS/FecQKnrssA2LgruHCaluPn\nbNh5sSo2q9xO+l9DsnoX7yXKH5xxaDcfh3bzCz9v2H4WyepdNmw/y4F/w/AYuIz6Tu9j3PRDXp36\nG9di7yqtpyqp5Vd0TFwyHfouprGzBeOGdyAz8wkG+soflpDJZAyf/BMHjl3GxcmcGZM9ycnNY8M2\nf8IjbxW7njXrfdh3JJRBfdzo3qkx5y5eZ/ueQELDEwk58QV16uhgZKjL/A8GsmG7P/GJKcz/YGDh\n8g4N1f+KIu1BJr3Gric4/DZtWlgzaUQb8vNlHD0dzbhZOwiPusuXHxQMPjnYqyn2tkas/L2gM9Gs\nyZ2AggdVWrtakfYgi1XrA3BrZslgr/+6VbZ2tar8DatCuw+GcuhEBEP7udGjUyNCwm+y60AIPv5R\n+O+bQ5NGFlUdYiG1TPAz56L5ZFY/vv5sWInzbt5xlgPHLtO1owv/7pxTeFm58KPBdOy3uNhlD58I\nJ/DIZ7R0/a8n19g317F193n2Hg5h5OB2hYMznvS/SnxiitoP1Pj/3lt4iODw23zzkRcfvtm1sDwr\nO4eh0/9k8ZpTvNq/Oa1drRji5coQL1c27izoPec9u6dcXQ62RqxaH0BrVyuFaTXJ/qNh7P/jDV7p\n3aKwbOW6k8z+Yhdvf/IXx3e8W4XRyVOrS/RnLBoYyJ0pi/Os6+qXnwyRu2c0MtTl8zkDil125rSe\ncskNMG18QRKcvxhXhojVU0rqYzbvCaVtKxu55AaoW0eHbz7yQiaT8efeS0XUICjTs0tjueQGmDG5\nG84OZpw4E0V84v0ilqx8ankGd2tuS506pRufKjgsAS0tCY92ioMAdungomSJ/7R1c1Aos7M2ASA1\nvXSjhqqzwEs3ycvLRwK8V5xQmP5suOTI6PI/YVWTdO+kON6atrYWXdo7ERN3j+CwROztTKogMkVq\nmeCW5orjSRcl/UEmJsb1lT5ob9HAoNhljQx1FcqejYaZl6f47HR182xAhsBLNwm8dLPI+R4+Fj89\nloWFmb7SckvzguMtPePFXsBQEdQywcvyMJeBfl3upz4iNzdPIcnvJD9QcWTVi+HThsnZUzxYNq9f\nFUejfrSeHmi5ucq/zNMeZGJkoPgI5517GUrnf/YIs2ERDcJVQS3vwcvCvWVD8vNl+Acqjmd15pzq\nxlZ7NlpHdTqzt3ezQUtL4kxgvErq09aqfvugOM9GPk28pdiBJ/p6MukPMpUu5xsQrVCWl5fPmfMF\nIwK5q9GIvNU+wV8bUfBTzrzFe3jy5L/RR9IfPGbRsgMqW4+pccG44Qk3lL+0UB2Zm+kxbnArgi7d\nZNEqH6WJGRN/n+uJpeuhZmxYF0mSSLiVrupQq0TTRhYY6Ndl75HL3H3urJyZ+YSZ83YWudyJM1H8\ncyxMrmz176eIibuHZ2cXtbn/BjW9RC+L10Z1YtueQA6fCKNFt/kM6tOanNw8dv1zgXatHbganYSW\nVvkHcOjVtRk79l1g2KSf6P9yS+rV1cHe1pQJIzupYCsqzg8LXuFa3H3mLz/B5r9D6dzOHguz+ty+\nk8GV6GQCL93kz1Uj5MZkK4pe/Tp0aG3L6cB4xs/egYujKdpaWgx6uSmtmllWwtaolo6ONrOm9mDR\n8sO49/6Wof1akZubz7FTV7G2MMDaUnlb0ECvFgydvI6h/dxo5GBGSPhNDp2IwMRYlzWLR1byVhSv\n2ie4JEn8veFtvl5xkE07A/jhtxNYWRjy+igP3p7Ugz2HQjDQK/9QOFPHdyX+Rgrb/g7ku9VHyM3N\no7tHY7VPcAP9upzcNpm1W4PYuu8Suw+Hk5Wdi4WZHi4Opiz7vB+9uyh/C4cyfywbzpxFhzjse42t\n+y4jk8mwtTKolgkOsGBuf3Tr6bBuSwBrN/tj2cCA0UPa4P1+f1y7f6V0mWH93Zg+vjNfrTzCgX/D\n0dHRZlh/NxZ/OojGzuZKl6kqGj2iy7GTEXiNXM7HM/uxeF7JnWYqixjRpXjqOqLLs3d8r18xrlLf\nEKpMjRrR5VaS4ovnU+4/5OMvdwEwtL97ZYckCGqh2l+iA8z54i9CwxPxaOdMA1N9btxK5dCJMO6n\nPuKN17rRvo3iAP6CUBNoRIIPG+DOneQH7D96ibT0x9Sto0PzJtZMGdeFKeO6VHV4glBlNPoeXF2J\ne/Diqes9uDqpUffggiAoJxJcEDSYSHBB0GAiwQVBg5WY4JIk/S5J0l1JksJKmlcQBPVSmjP4BqDk\nN9wJgqB2SkxwmUx2ClCfMWgEQSg1ld2DS5I0XZKkIEmSgpJTlD8QLwhC5VJZTzaZTLYWWAvQtqW1\nTPaw6CGCajyd+lUdgVqTZVafZ+7VnWhFFwQNJhJcEDRYaX4m2woEAE0kSbohSdKUig9LEARVKPEe\nXCaTjamMQARBUD1xiS4IGkw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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(0, 0) a:down s':(0, 0) a':down\n", "----\n", "s:(0, 0) a:down s':(0, 0) a':down\n", "----\n", "s:(0, 0) a:down s':(0, 0) a':left\n", "----\n", "s:(0, 0) a:left s':(0, 0) a':left\n", "----\n", "s:(0, 0) a:left s':(0, 0) a':right\n", "----\n", "s:(0, 0) a:right s':(1, 0) a':right\n", "----\n", "s:(1, 0) a:right s':(2, 0) a':left\n", "----\n", "s:(2, 0) a:left s':(2, 0) a':left\n", "----\n", "s:(2, 0) a:left s':(1, 0) a':up\n", "----\n", "s:(1, 0) a:up s':(1, 1) a':up\n", "----\n", "s:(1, 1) a:up s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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Xw7gREI1fQPTr623Ill8Gv5PdLbuuMmzKNgDW/difsYObqiyXmprOyo3n+Hv/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\n7z5WWTOE34/ns1l7ARjSW3FgqG+3ulS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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(2, 0) a:up s':(2, 1) a':down\n", "----\n", "s:(2, 1) a:down s':(2, 0) a':right\n", "----\n", "s:(2, 0) a:right s':(2, 0) a':right\n", "----\n", "s:(2, 0) a:right s':(2, 0) a':down\n", "----\n", "s:(2, 0) a:down s':(2, 0) a':down\n", "----\n", "s:(2, 0) a:down s':(2, 0) a':up\n", "----\n", "s:(2, 0) a:up s':(2, 1) a':left\n", "----\n", "s:(2, 1) a:left s':(1, 1) a':right\n", "----\n", "s:(1, 1) a:right s':(2, 1) a':up\n", "----\n", "s:(2, 1) a:up s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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v9BmHXPw5ffEe98JiePLsBRVN9GnXzJrZkzvg5GCnVPb2/TeY/OXBXK/924oP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\n/jAe58+75VFi6eeYy02O7f6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ukA/tdv3ji66uxJThuU+u5YWXj3zy8s3nsagpFQJPS8sg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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(0, 1) a:right s':(1, 1) a':down\n", "----\n", "s:(1, 1) a:down s':(1, 0) a':left\n", "----\n", "s:(1, 0) a:left s':(0, 0) a':right\n", "----\n", "s:(0, 0) a:right s':(0, 0) a':right\n", "----\n", "s:(0, 0) a:right s':(1, 0) a':down\n", "----\n", "s:(1, 0) a:down s':(1, 0) a':down\n", "----\n", "s:(1, 0) a:down s':(1, 0) a':right\n", "----\n", "s:(1, 0) a:right s':(1, 0) a':right\n", "----\n", "s:(1, 0) a:right s':(2, 0) a':up\n", "----\n", "s:(2, 0) a:up s':(2, 1) a':up\n", "----\n", "s:(2, 1) a:up s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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4sHZg8e9tJ0KZtMirxPLrvnfi02HNKlzvsjhwKhCva1H434/DPziO9Ixcxgxu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\nG9UOAE+/6ArZXL39OhevRLFl2SC0tUo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2) a:right s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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cCk8gJDyBvPxi3pzcj51/vFvnvB48zGTRykN4XQgjIysfa0tjxo/qzuIvxmNi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\n0ZcZr39Lyrg4+veJIO/sFfYcKaFLRDvWLRnr9j2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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(0, 0) a:up s':(0, 1) a':left\n", "----\n", "s:(0, 1) a:left s':(0, 1) a':left\n", "----\n", "s:(0, 1) a:left s':(0, 1) a':right\n", "----\n", "s:(0, 1) a:right s':(1, 1) a':right\n", "----\n", "s:(1, 1) a:right s':(2, 1) a':up\n", "----\n", "s:(2, 1) a:up s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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MjPXk0v++04eAm+HcDoom6H4seXmFfPnhGFZ8OUmhfW/f+7iO+77C/D+bP5rv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\n2f5F9Sa/Skul/6qriTjyjQsDulqgr6N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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(1, 0) a:up s':(1, 1) a':down\n", "----\n", "s:(1, 1) a:down s':(1, 0) a':left\n", "----\n", "s:(1, 0) a:left s':(0, 0) a':up\n", "----\n", "s:(0, 0) a:up s':(0, 0) a':up\n", "----\n", "s:(0, 0) a:up s':(0, 1) a':up\n", "----\n", "s:(0, 1) a:up s':(0, 2) a':right\n", "----\n", "s:(0, 2) a:right s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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k1h5cLBbfF4vF/g//nwvcBZo3tGECAgLPz1PNwUUikS3QBbjeEMYICAjUL3UO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\nD0bx5wftam3n58ltsDLWoJW5Fl63M3B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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(0, 2) a:down s':(0, 1) a':right\n", "----\n", "s:(0, 1) a:right s':(1, 1) a':left\n", "----\n", "s:(1, 1) a:left s':(1, 1) a':left\n", "----\n", "s:(1, 1) a:left s':(0, 1) a':down\n", "----\n", "s:(0, 1) a:down s':(0, 0) a':down\n", "----\n", "s:(0, 0) a:down s':(0, 0) a':down\n", "----\n", "s:(0, 0) a:down s':(0, 0) a':right\n", "----\n", "s:(0, 0) a:right s':(1, 0) a':up\n", "----\n", "s:(1, 0) a:up s':(1, 1) a':up\n", "----\n", "s:(1, 1) a:up s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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NCu+iCzwfFnyzh5DQRAa4daK9kQ5JKbmcunCHnNxi3p4xFLc+do0X8i8mISEN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\nFiott4y+n/uRmFXG35+7MKm/eaNlbTq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(1, 0) a:right s':(2, 0) a':up\n", "----\n", "s:(2, 0) a:up s':(2, 0) a':up\n", "----\n", "s:(2, 0) a:up s':(2, 1) a':up\n", "----\n", "s:(2, 1) a:up s':(2, 2) a':right\n", "----\n" ] }, { "data": { "image/png": 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p0m+Fbd9+hICA63h59X9qxP0oNPsQXaBpeP/LPYRFJOLWrz1tTPVJupfDibPX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\n0zN6EwgaCorPMmrQk1TVNIfcB96KrOd7kr+3jpw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p0m+Fbd9+hICA63h59X9qxP0oNPsQXaBpeP/LPYRFJOLWrz1tTPVJupfDibPX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\nMgvKub1mMDamdb9cNpxO4M2NN5jYz4L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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(2, 0) a:up s':(2, 1) a':up\n", "----\n", "s:(2, 1) a:up s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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E4bfCdu48jp/fbTw8+r0w4n4SmnyILvB8WPDNPoJDE3Du25ZWxrokJudw+sJt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\nTGmL0aPRbPi2zByjdl1cIzvpzurOvthdQtq+MpI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tO46f3x3c3Lq/MuJ+Fuq9iy7wcpj7/R6CQuLp1a05JkY6JCRlcPrCHR5n5PGB\ne3+6dbGvOZNXmLi4ZDp1epvBg7vRvLk1paVlBAbe5/Ll2+jr6/Drr5/VdxXrBEHg/xHGveZMSlo2\nx8/cJjMrH3W1JrRp2ZSp7/Rl6ju1M95ryJiZGfL220Px9b2Ft/dNioqKMTc3YsqUkXz33dQ69WFe\nnwhj8HqgIY3BGySC2+QaEcbgAgICgsAFBBozgsAFBBoxNQpcJBJZi0Qib5FIFCoSie6KRKJPX0bF\nBAQEXhxFZtFLgc/FYvEtkUikA9wUiUTnxGJxaE0JBQQE6pcaW3CxWPxQLBbfevL/HOAe0LT6VAIC\nAg2BZxqDi0QiW6ATcK0uKiMgIFC7KGzoIhKJtIGDwByxWCzjJUAkEs0AZgA0M9WEpKrP3v6vI1Z9\n8Y0djRkRz+DNQqBaFGrBRSJREyTi3i0Wiw/JiyMWizeKxWJnsVjsbKLXOHdlCQi8aigyiy4C/gTu\nicXiFXVfJQEBgdpCkRbcBZgMDBCJRLef/Btex/USEBCoBWocg4vF4ssgDIoEBF5FBEs2AYFGjCBw\nAYFGjCBwAYFGjCBwAYFGjCBwAYFGjCBwAYFGjCBwAYFGjCBwAYFGjCBwAYFGjCBwAYFGjCBwAYFG\njCBwAYFGjCBwAYFGjCBwAYFGjCBwAYFGjCBwAYFGjCBwAYFGjCBwAYFGjCBwAYFGjCBwAYFGjCBw\nAYFGjCBwAYFGjCBwAYFGjMJnk9U26dlFHL6cyKmAhwRHZ5H4qABVFSXa2enhPsSWKUPsUFJ6Nnfs\nF26l8PuxCPxD08nILcZIR5V2dnp8MtaJ4d0tqk077dfrbPGMBiB82zCaN9WRiRP9MJfle8PwvZNG\nXGo+Ohoq2Fto4z7EFnc3W1SbKD9TfWviwOl7+F6PI+heCkH3UsnJK+btUW3Y+evoZ8pHLBazed9t\n/twXxN2INMRiaOVgxNSJHZkxqZPMc87MLmTT3tsE3UshMDSZ8JjHlJWJObvtTQa52FVbVnJaLss3\n+nPaN5K4pGzU1VSws9JjcG97ln3p+szPoDoOHLuO75UwbofEERQSR05uIW9P6MmuDTOfOa+ExMcs\nWHYIzwvBpGfkYmGmz5jhnVn41RgM9LXkpgkNS8Tj58P4XAkjO6cQGysjJo3rzrxPX0NDQ1UqbklJ\nKeu2eHE7OJbA4DhC7ydSUlLGplVTmDa5//PcvkLUm8D3+8Yza80tLAzVce1oirWpJikZhRy+nMj0\nFTfwvJ7Mvu97Ijk5qWa+2hTEL/vuY2WiwcielhjrqpKWVcStBxn43EmtVuDH/ZPY4hmNtoYKuQWl\ncuNcv/+YAV/4UFBcxlBnc0Z4Ad7aAAAgAElEQVT1tCQ7v5QTV5OYueomhy4lcPqnvgrXVxF+XHeF\noLBUtLVUsTLTISwq/bnymfz5Mf46fhdTI00mvdYGTXUVzl+JZtZCT/wDE9j+v1FS8WMSsvj6Zy8A\nrMx1MDbQJOVRXo3lXLkZz8gZ+8kvKGF4fwfGDG5BQWEJkbEZ7D0ZWusC/+HXYwSFxKGtpY6VpQFh\nDx4+Vz6R0Sn0GvYDqWnZjB7WmZaOFgTcimL1hrN4Xgjmyun5GBlqS6W5diOSAWOXUVJSxoRRXbG2\nNMTr0j0W/+8oFy6GcuHw16ipNamMn5dfxJxvdwNgZqqHuake8YmPn//mFaTeBO5kpcPRxb0Z0d1C\nqgVZ+n4B3T++wMFLCRy6nMj4PlY15rXpVCS/7LvPe4Nt2fBZF5mWtKS0vMq0aZmFzFh5gzf6W5P8\nuBDfO2ly4y3acZe8wlK2ftmN99xsK8N/mdGB7rPPc/ZmCpeCH9G3vUmN9VWUFd8Nwspcl+Y2BvgG\nxDHgnd3PnMfhs/f56/hd7Kz0uXbQHWNDTQCKi8uY8PFBdh4JYfQgJ8YNaVmZxqapLue2v0mn1uYY\n6msw5avjbD8cXG05yWm5jPnwAHo6alw98B5OdkZS10tKyp657jWx8oe3sLI0oLm9Gb5XwnAdvey5\n8pn15Q5S07JZ89M7zJ4xuDJ87vy/WPnHGb778QDrf3WvDC8rK2fK7M3k5xdzdNenjBrWGYDy8nJe\nf/93Dh6/wco/zjBvzmuVaTQ11Di1dy4d29pgYa6Px/LDLPr5yPPd+DNQb2PwAZ3MGNnTUqZ7aG6o\nwQev2QPgE5RaYz5FxWXM3xpCM1NNueIGaKJS9W1+sOomAGtnd662nKiHuQCM6mkpFa6locKATqYA\npGUV1VjfZ8G1hy2OtoYv1Cs4cu4+AHOndqsUN4CqqjKL5/QD4PddN6XSGOhpMLCXHYb6GgqXs/QP\nP9IzCvhj8VAZcQM0qeXhC4Brn1Y4Opi/0POJjE7hrHcIts2M+WjaQKlri74ei5aWGjv3XSEv7+nf\n1vdKGPfCk+jbq0WluAGUlJT42eMNANZv80YsFldeU1VVYdigDliY6z93XZ+HBjnJViFIFeWa/3Dn\nbqWQllnE2N5NUVIScfJaEsv/vsfqQ+H4hz6qNu22M9EcuZLI+jldMNKt/sjjNrZ6AJy8Jt0NzC8s\nxft2KprqyvRsJfti1zfJaZKutb21gcw1e2vJy3bpRjzFxS/Wwv594i4GeuoM6WNP6IM0fttxneUb\n/Dlw+h65ecUvlHdd4n35HgBurm1RUpKWg46OBi7dHMnPL+bqjYjKcK9LoQAMHdBOJj97W1OcHMyJ\njX9EVEzNDVRdU29d9KooLStn57lYAIY6Vz8xBpKxMYC6qjKdZ54jJCZL6nrfdibsX9ATE311qfDY\nlDzmrLvNOwNtGN2raY3lLHFvi9/dR0z5XwD7feNpZaNLdn4JJ68+pLSsnP3f98LSWPEW72VhbCCp\nU3RCpsy1qHhJWGlpOVHxGbR0MH6uMqLjM3mUUUDX9hZ89uN51my/LnXdyECD7T+PZHj/5s+Vf11y\nPyIZACcHc7nXHe3NOOsdQnhkMgP7tVEsjYMZ4ZHJhEcm42BnVge1VpwG14LP23yHkJgshnezYEhX\n+Q/wn6RmSrpOv+y7j0gEF1e6kn1sLEEb3XDrYsbF4DReX+Ivlaa8XIz7zwFoa6iw+qNOCtWrZTNd\nAn4fRK82Rhy/msTPe8NYfzyS5IxC3h5kQ48G2HoDlaJauSWAx5kFleElJWV4rLlY+Tsju/C5y0hN\nl/QSbt1NZtPeQH5b6EbK1U9JvPIJy78aQFZOERM+PsS9iOp7VPVBVnY+AHq68j/OerqSYU1mVr6c\nNJoKp6kvGpTA1xwOZ8WBcFpa67Dj624KpSl/Ms5RURZxdHFverc1QVujCe3s9Dnk4YKViQa+d9Kk\nuusrD4bjeyeNjZ85Y6CjWlXWUgRGZODyqRcFRWWVH5G4v15j0XttWHkgnB6zz5PVALuik15rzZA+\n9kTGZdBm2EY+mH+KT5ecpdOoP7l0I55mlroAKL3AOLbib1BWJub7j3vz0TvOmBhpYWGqzZfTezD7\nXWcKi0pZtS2gVu5JQHEajMDXHnnAnHW3aW2ji9cv/TGsYUxcgb6WZCmiU3MDbM2l1ys11VVw6yLp\nBQSESbry4Qk5zN8ajPsQ2xrXxisoLSvnjSX+pGUVcWzJ04+IlYkm8ya14uMxzXmQmMvKg+GK3u5L\nQ1lZiWMbJvLTF66YGGqy43AwOw4H42hryJW976KjJfnAmRrJX+tVBH2dp8OfsYNbyFyvCLt+5/mW\nseqSitY2K7tA7vWK1lpfT1NOGvkttLw09UWDGIOvOhTO3D9u09ZWj/M/98PUQL3mRE9oYS0xSNHX\nbiL3ekULXfBkEik0NpuiknK2nYlh25kYuWmc3E8DcMjDhTEuTQmLyyEiKZfOjgaYG8p25Vw7mLL6\n0ANuPchQuN4vkyZNlPn6g558/UFPqfDColIexGRgbKCBnfXzz+46NDNARUWJ0tJy9OV8mA30JH/P\ngqKS5y6jrmjRXNIAhEcmy73+ICoFkB5v15gmUjZNfVHvAl/+9z2++TOYjg76nF3eD2M9xVruCgZ2\nMkMkkgi3vFwss+x298mkm92T1t3WTJP3h8q3xjoV8JDkx4VM7GuFjmYTbM0kX+CiJ2u4j6pYBqtY\nHlOtZjmuIfL3iVCKS8qY9FqbF8pHVVWZPs7WeF+NJSQ8DTNjaaOQkHCJbYGd1ctdIlIE196tADjr\nHUJ5ebnUTHpOTgFXAh6gqalKD+enE4QD+rTmxxXH8fQK5pvPRkrlFxWTSnhkMjbWxtjbmr6cm6iG\nen0jl+y6yzd/BtPF0YDzP1cv7pLScsLisolMypUKtzHTYmQPS+JS81l9WLqLfPZGMmduJKOv3YSh\nTybsOjY3YPPnXeX+a2El6Q38+H47Nn/elY7NJUtLbW310NduQlxqPptPRUmVkZlbzK/7JWvNAzrV\n34xpSUkZYZGPiIyV7UVk58h+mG6HpvDV8gsY6Kkz718t+/Pw8WRnABauvkRe/tO5iMzsQn74/TLA\nC39IXoSSklLCwpOIjE6RCnewM8PNtS0xcY/4ffMFqWsLlx8mL6+Iya+7oKX19N3s59KSVk6WXPS7\nz7HTtyrDy8vL+XrRPgBmurvWqlXj8yL652J8beHsZCi+vm5wtXG2n41hyv8CUFYS8fGY5uhpyXax\nbc20cB8iaW1jkvOwn3wSGzNNone9JhUvIS0fl0+9iE/LZ2AnUzo2NyAmOY8jVxIRiWDPdz0Vsohz\n/dwb3ztpcm3Rt5+N4f1fAhCLqSwjI6eY41eTSMssokcrI7x/6Y+aqgIGHbaKLRcdOXefo+ckH63k\nR3mcuRSFvbU+fZytATAy1OSXeRLjjJiETOxd12HTVI9on4+k8ukxfhsa6iq0cTJBR0uVsMh0TvpE\noKGmwrENE+nX3Uam7C+WXSD9sWQseflmApFxGbj1tsPCRNI6jx7sxJh/jbffn3eCbQfvYGelz9B+\n9pSViTnpHUFiSg7jh7Rg75pxCu0vEBnKjuPlPp+TNzlySiKw5NQszngFY29rQp8ekvTGRtr8svhN\nyfOJS8Ou0xfYWBsTc/tXqXz+baraysmCazej8L58DycHc/w8v6/RVLVZUyMuXAzlxu1oXLo7ypiq\nAixbdaLSnLbCfr5Xt+Y42ksan949HBW2SxcZvXdTLBY71xSv3rro0cmSlrisXMzqQw/kxunX3qRS\n4NVhZaLJjXWDWLwrlOP+SVwMfoSupgoje1oyb1JLurV88SWs99xssTPXkhjQ3EvH904aak2UaWGt\nw2fjnZgzzkkxcT8Dt++lyJiIRsVnVq5f2zTVqxR4dYwf2pK9J0PZfTSEgsJSmprpMP2NjnzzQS+s\nLHTlpjnoGUZsorRNwdnL0ZX/t7HSkxH4nz+NoFdnKzb+Hcj2Q8GIxWJaNzdm3syefPhWl2fePFQT\nt0Pi2P73ZamwqJg0omIkQwIba+NKgVeHg50ZNy54sOCnQ3h6BXPqfBAWZvp8+oFblZtNujs7cP2c\nBwuXH+asdwg5uYXYWBux4MvRzPv0NRlxA3h6BeN7JUwqzC8gAr+Ap0Y0tb3xpN5a8P80Crbg/1UU\nbcH/yyjagr9as0ICAgLPhCBwAYFGzCslcNfPvVEavO+F8/HYEYLS4H0K7VZ71XB9exdKjktfOB+P\nNRdRclyKz7XYWqiVQH3xSgm8Pqmtj0tjprY+LgK1R70bujwL27/uRn5h7TsOaExs/99I8gsansWY\nQP3wSgm8menz20v/V2hmqVffVRBoQDSoLnpMch5Kg/cx5ecAwhNymPSDP2YTj6LsJhkvV9VNLiou\nw2NHCA6TT6I+/AD2k08yf2swRcVlKA3eh+vn3lWWeeBiPN0/Po/WawcxGneEN3/0J/HR000EFXWq\ncOWkNHhf5b/q8q0rYhIyUXJcypSvjhMenc6kTw9j1n0Vyk6S8XJV3eSiolI81lzEwXUd6q2XY+/6\nO/NX+FBUVIqS41Jc395VZZkHTt+j+/itaLX7GSPnFbw55zCJyTkydfINiANAyXFp5b/q8q1vfC7f\nQ2T0Hh7LD8u9btvxc2w7fl75e9tflxAZvce2vy5x8uxteg1dgpb1dAzsP2SC+288qMI2vT5pkC14\n5MNcesw+j5OVDm8NaEZBURm6mvI3k4jFYiYs9uPktYc4NtXmo1HNKSkrZ/vZGEJjs6st549jERzz\nT2JUT0v6tjchICydvT7xBEVmErjeDTVVZfS1m7Bgcmu2n40hNiWfBZNbV6a3Nau/HkVkfAY9JmzH\nydaQt0a1oaCwFF1t+aa+YrGYCR8f4qRPBI62hnw0uQslJeVsPxRMaA17tP/YfZNjFx4waqAjfbs2\nIyAoib0n7xF0L5XAY1NRU1NBX1edBbN7s/1QMLGJWSyY3bsyvW3Thmd//qIcOnmD0+eDGTuiM/1d\nWnI7JI6Dx2/gffkefqe/p4WjYrsUXwYNUuCXQx4xb1JLlk5tX2PcXedjOXntIX3aGXNueb9Kn2yL\n32tLz08uVJvW80YyAb8Pop3d05fw7aVX2eMdx1H/JF7vZ42+tioe77bFNyiN2JR8PN5t+2I3V0tc\nvpHAvJm9WPp5/xrj7joawkmfCPo4W3Nu+1uoPrG4WzynLz0nbqs2refFKAIOTaFdi6cbJ97+7Ah7\nToRy9EI4rw9vjb6uOh6f9MX3WhyxiVl4fNL3RW6twXPc8zbH//qM14Z0rAxbveEsc77dzawvd3Dh\nyNf1WDtpGlQXvQIzA3UWTlZsY8KOczEALHFvJ+VwUV9blflvt64ilYTZYxylxA0wbbjE4WNA2PO5\nKH5ZmBlrsfDj3jVHBHY8MXdd8lm/SnED6OuqM39W9XnMftdZStwA096QvNgBDXB/98tgQJ/WUuIG\n+HjaIBzsTPG6FEpsfMPxXNMgBd7BXk9hu+7AiEyUlET0aiNrb967bfU+xpydDGXCrE0k+70zchv2\nTHSHlqaoqSnWAQsMTZE8o86yG256P9m4UhXO7WS7m9ZP7Nczsp7fzdOrTD8XWVNaZWUlend3AiDw\nTsOxHWiQAjc3VNzhQ1ZeCYY6qqgoy96KWQ2OI+Q5iajIp7ys9m30axNzE+2aIz0hK6cQQz11VOTs\nVzczrn4eQV9X9hk+fUZV+5tvzJiZyF+pMDeVhFflHaY+aJACF6H4riNdrSY8zimmVM7LlpLReFuY\nZ9mXpautxuOsQkrlHAChyIkljZWK3W2lpfJtK6pympiSliU3PDlVEl6VA8f6oEEK/Fno5KBPebkY\nv7uyY+bLIbU3FlJ+8jKUvYKtVqfWZpJndCtB5trlG/G1Vo6y8qv1jCq2gco7QigiKqVKn2u+V+7L\nhJWVlXP5mmTvfqf2svvr64tXXuCTB9sC8P22YIr/cTxOVl4xP+wOrbVyjHQlvt3iUuvfFe6zMnmM\nxEH/9yt9pQ44yMop5Id1l6tK9swYPTkJJS6p+uXJhkJLRwt0dTQ4ejqQ1LSndS4oKOaTb6pev/e6\nFMqJM7elwtZuPk9kdCquvVthY/18/uXrgga5TPYsvDvYhr0+cXheT6bd9DOM7GlJSamYQ5cT6NrC\nkPvxObXiaGBAJzP2X0xg/CI/hnWzQENNGRtTzcoPTEPm3bHt2HsyFM+LUbQbsYmRAx0pKSnj0Jn7\ndG1vwf2ox7XzjHrasv90GOM/Osiw/g5oqKlg01Sv8gPT0GjSRIVPP3BjyS9H6dT/e8aO6EJpWTnn\nfEKwNDfAsopjhkYO7cjYd9cwdkRnmtuZcTskjtPn72BooMW6/737ku+iel75FlwkEnHIw4X5b7em\npEzM2qMRHPNP5N3Btvz2seRQA13NF/+OTRtmx7xJLcnKK+F/+8JYsC2k8rjhho5IJOLQugnM/8iF\nktIy1u64wbELD3h3XDt+WzAEoEojmWdh2usdmTezF1k5Rfxv01UWrLrIlv1BL5xvXbJo3lh++n4i\n6upN2LjDh1Pnghg/sitn9n9Bkyby35txI5w5vOMT4hMfs3rjWfwCIhj3mjP+ngto6WQpN0190ag9\nupy7mcyQeRf5elJLflLAaOal0YA8upy7HM2QKXv4+oOe/PRF7R7v+7w0VI8u2/66xJTZm9n62zTc\n3+pTr3X5T3l0SXokuyyRnl3EN39KDDzGutR89lhjJyklRyYsPSOfb36R2NPLO7BA4NXnlR+DA3y+\n4TZBkZn0bGOMiZ4aiY/yOR2QzOOcYmaMsK8Vp4uvOp//dJ6ge6n07GyFiaEmicnZnL4YxePMAmZM\n6kS3Dg2raylQOzQKgY/tbUVKRiEnriaRmVuCuqoSbWz0eH+oHVOH1eyV9b/AWLcWpDzK44TXAzJz\nClFXVaGNownvT+zA1Ikd6rt6AnVEox6DN1ga0Bi8IdJQx+ANif/UGFxAQEA+gsAFBBoxgsAFBBox\ngsAFBBoxNQpcJBJtEYlEqSKRKORlVEhAQKD2UKQF3wYMreN6CAgI1AE1ClwsFl8EZPfTCQgINHhq\nbQwuEolmiESiGyKR6EZaluyB8wICAi+fWrNkE4vFG4GNAM4OemIyZW2fBZ6Q2HB8djVExKn/TWeO\ndYEwiy4g0IgRBC4g0IhRZJlsD+APtBCJRAkikWhq3VdLQECgNqhxDC4Wi998GRUREBCofYQuuoBA\nI0YQuIBAI0YQuIBAI0YQuIBAI0YQuIBAI0YQuIBAI0YQuIBAI0YQuIBAI0YQuIBAI0YQuIBAI0YQ\nuIBAI0YQuIBAI0YQuIBAI0YQuIBAI0YQuIBAI0YQuIBAI0YQuIBAI0YQuIBAI0YQuIBAI0YQuIBA\nI0YQuIBAI0YQuIBAI6bWji56Hr7eFcbNyGzCH+bxKLsYDVVlbEzUGd3NjI+H2mCko6pQPgf8H+Ib\nmkFQTDZBsdnkFJTxdh9Ldn7Soco0OQWlLDscxaFrycSkFaChqkS35vp8OdqOge2MZeIrTTxdYz22\nf9yeyf2aKlTnmkjPKuLwpXhOXU0kOCqTxEcFqDZRop2dPu7D7JkyzAElJVGN+Ww7Hcn7y69WG0dJ\nSUSp11uVv6f85M/2M1HVphnQ2YzzKwZV/r4YlMLmExEEPsjg4eMC8gpKsTDSoJ29Pp+Mb8nALuY1\n1vVZSc8q5LBvHKf84wmOzCAxLV/yjBwMcB/uyJQRjgo9I4AD3jH4BiYT9OAxQRGPyckv4W03e3Yu\n7FdtOr/gFH7cFsTVu2kUFJXhaK3LlBGOzJ7QCmVl2fYz5XEBP2wL4qRfPEmP8tHVakLv9mbMd+9A\n5xay792LUq8CX3Uihs72ugxqb4Sprhp5RWVce5DJon0RbDoXj//Snlgba9SYz48HIwmKzUFbXRkr\nI3XCEvOqjZ+RW0Kf768SmpBLG2ttPhhsTW5hGceupzB48XU2zWzL1IHWUmkWTGwuN6+cglJWnohB\nRVnE4Pa19wfa7xPLrJXXsTDSwLWTGdammqRkFHL4YjzT/3cNz2tJ7FvUB5Go+he4Y3MDFrzXTu61\ny8GpeN1KYVg3C6nw0b2tsDHXkptm17loopJyGdrNUirc61YKXoEpdG9ljGtnc7TUlYlPzefYlQSO\n+yXy3eS2LJla9Qf3edjvFcOsX/wlz6izBdZmWpJn5BvL9GVX8LyawL4fXGt8RgA/bgsiKOIx2hoq\nWJlqERabVWOao5dimfCdN+qqyrw+0A5DHTVOXIln7poA/IJT2feDq1T8mIc5uHxwkofpBXRrbczY\nfjY8yizkkG8sJ/0SOPbzIIZ0r50GogKRWCyu1QxBcvjg9eUuNcYrLC5DXVVZJvy7v8L56XAkM92a\nsW56mxrz8Q5Jx8pInebmmviGPmaAR0C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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(0, 1) a:up s':(0, 2) a':left\n", "----\n", "s:(0, 2) a:left s':(0, 2) a':left\n", "----\n", "s:(0, 2) a:left s':(0, 2) a':right\n", "----\n", "s:(0, 2) a:right s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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V1dVm7tyx5OUV4Oa2VS7up58OEB2dyKhR/RrUkq2mNJqp6tGL4Rx7bKiS9CiPsz4x2Fsb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\ng9V12832fzRY9j6Zk3yXoK60fWXZa0bLQCb5qxX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(1, 0) a:up s':(1, 0) a':up\n", "----\n", "s:(1, 0) a:up s':(1, 1) a':up\n", "----\n", "s:(1, 1) a:up s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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mAYNFItHtx/9eaeR6CQgINAC1jsHFYrEXCIMiAYGXEcGSTUBAgREELiCgwAgC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\n9Pa15g2Ll7TyjlbyP5ZtLHU5F5BEeEI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(0, 1) a:left s':(0, 1) a':left\n", "----\n", "s:(0, 1) a:left s':(0, 1) a':right\n", "----\n", "s:(0, 1) a:right s':(1, 1) a':right\n", "----\n", "s:(1, 1) a:right s':(2, 1) a':up\n", "----\n", "s:(2, 1) a:up s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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QkUh059HPqEaul4CAQANQ5xxcLBb7gjApEhB4HhF2sgkIKDGCwAUElBhB4AIC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\nPZys9YhJKSRSwQewupqkXDVVxcTTEKi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mAUNEIlHQo3+jGrleAgICDUCtc3CJROILwqRIQOB5RNjJJiCgxAgCFxBQYgSB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\n2t3xdMumLfUtTCur5c2ikXzwXM9FM33GhS2bVn1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mAUNEIlHQo3+jGrleAgICDUCtc3CJROILwqRIQOB5RNjJJiCgxAgCFxBQYgSB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\n2t3xdMumLfUtTCur5c2ikXzwXM9FM33GhS2bVn1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TUlJKy5ZmzJ07li++eL1RfZg3JSo9B2+uNKc5eLNEcJtcK/+pObiAgIByBIEL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\nmV1EWVkF5iY6GOgrTuPsrWV/y/OBcQ1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TUlJKy5ZmzJ07li++eL1RfZg3JSo9B2+uNKc5eLNEcJtcK/+pObiAgIByBIEL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\nmV1EWVkF5iY6GOgrTuPsrWV/y/OBcQ1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(0, 1) a:up s':(0, 2) a':right\n", "----\n", "s:(0, 2) a:right s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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AfASBCwgoMILABQQUmHoFLhKJrEUikbdIJLojEolui0Si955FwQQEBJ6ehsyi\nVwAfisXi6yKRSBe4JhKJzojF4jtNXDYBAYGnpN4WXCwWJ4vF4usP/jsfuAvU7UlBQECgRfBYY3CR\nSGQL9AauNkVhBAQEGpcGb3QRiUQ6wH5giVgslvESIBKJFgALANq10YSoxjtnrGiIVZ/+8IsiI+Lp\nT/8JSGhQCy4SiVSRiPtvsVh8QF4asVi8SSwWO4nFYqc2+sIPWECgJdCQWXQR8AdwVywWC5dzCQi0\nIhrSgrsCswF3kUgU/ODf2CYul4CAQCNQ7xhcLBb7gDAoEhBojQg72QQEFBhB4AICCowgcAEBBUYQ\nuICAAiMIXEBAgREELiCgwAgCFxBQYASBCwgoMILABQQUGEHgAgIKjCBwAQEFRhC4gIACIwhcQECB\nEQQuIKDACAIXEFBgBIELCCgwgsAFBBQYQeACAgqMIHABAQVGELiAgAIjCFxAQIERBC4goMAIAhcQ\nUGAafDfZsyIzr4yDV1I4HpRKaGw+97NKUFNRoruNLnOHWzNvhDVKSg130+4VmMq6ozHcSSggM78M\nC0MN+trr8/4kOwZ0MpRKW15Rxa/HYwmJyeNGdB53EvIprxCz6Z0ezPdo19ivWi/7ToZxMSCekLtp\nhISlkV9YxssTurLzu/GPZUcsFrNlbwh//BvC7cgMxGLobG/M69N7smBmr1rrs7SsgvU7r7HH6y7h\nMVlUVolpa6bDgF5t+b+l7rQx0qqxf+pyDF4XIvEJSiQuKZfikgps2uozeogdn705ADMT7aeuj8Zg\n35FALvqGEXwrnpBb8eQXlPDytAH89ftbj20r8X4Wy789wMlzoWRmF2BhZsCksX1Y8ckkDA1axvu2\nOIH/65vMwt9CsTBSx627MdYmmqTmlHHwSjJvrL/Jyetp7P20L5Iblerm0213+b8DURjrqjLRxRwT\nPTWikgs5HJDCfv9kti/pxStuVjXpC0sqeX+L5NpzMwN1zA3UScgoabJ3rY+vf/UjJCwNHW01rMx0\nCYvOfCI7sz86yq6jdzA11mLWuC5oaapw1jeWhStO4X89ke3/J/vBSEkvYNRrewgNT8e1jxXzZ/RE\nWVmJhKQ8TvnE8FFGYY3AS8sqGTt/L2qqygzpZ83wgbZUVlXh7R/Huu1B7PG6y6VdL+Nga/RU9dEY\nfPX9EUJuxaOjrYGVpSFh95KfyE5UTCoDx3xFWnoeE8f0oZODBQHXo/n599OcPBeK74llGBvpNHLp\nH58WJ3BHS20OL+vHOCdTqZblmzkd6f+hD/v9Ujjgn8LUgRZ12knJLuH7Q1GYGagTsm4IpgbqNXHe\nNzMYvuwKK3ZFSAlcS10ZrxWLP4FPAAAgAElEQVTO9Gqvh4WRBp67wln1z73Gf8kG8sPnw7Ey16WD\njSEXA+Jxn737sW0cPB3OrqN3aG+lz9V9r2LyQJRlZZVMe/cAOw/fZuIIR6aM6liTp6pKzMz3DhEe\nncXhjVMZ7+4gZVMsFlNVJa75W1lJxOr3h7DwpT4Y6mtI2VnoeYpN/wTz4ZpzHPl9+mOXv7H58auX\nsLI0pIOdGRd9w3Cb+O0T2Vn48Q7S0vNYt+YV3l0wsib8g2W7+PG3U3zx9T42fj+3kUr95LS4Mbh7\nTxPGO5vJdBvNDTV4c7QNABdC62/J4tKKqaqC/o4GUuIGcOthgq6mCul5pVLhaqpKjOlrioWRBi0B\nNxcbHGyNGtRbqY1DZyTXOH/wmnONuAHU1JRZ9d4QADb8fU0mz+WgRJbM7ScjbgCRSISy8sOfjqqq\nMl+8PVBK3ABKSiKWL3IF4EJAwhO/Q2PiNrgzDvbmT1WnUTGpnPa+hW07ExbNHy4Vt/LTyWhrq7Nz\nry+FhaW1WHh2tDiB14WqiqS4Ksr1/89xsNRGTUWJgHs5ZOSVScVdupVJfnEFI3qaNEk5WxIpGYUA\n2FkbyMTZtZOEXQ5KpKyssiZ89zHJMOXFFzqTmlHIH/+GsGajP3/uv8n9lPzHer6qqjLQsP9nrQVv\nn7sAeLh1Q0lJWkK6upq4OjtQVFTGlaDI5iieFC2ui14bFZVV7PROBGB0nzb1pjfSVePbVzvx4dY7\ndF10gYn9zTHWVSU6pYgjAamM7GXCxoU9mrrYzY6JoaTVjknMlYmLjs8BoKKiiuiEHDrZGwMQGCoZ\nlwbcTOb9b85RVFxek0dVVYkvF7mybKFrg56/dd9NAEYPtnvyl2hhhEemAOBoby433sHOjNPet4iI\nSmH40K7PsmgytJoWfOn2MG7F5TPWyZRRfUwblGfJRDv2f+ZERaWYLafjWbs/in99k7E20eDV4dYy\nXXdFZOwwewB+/DOArJzimvDy8ko8f7lc83d23sPJxLTMIgAWep7i1cndiTr3FtnXlrDvl8kY6mmw\n/KfLbDtws95nB95MZtV6H3S11Vj9/pDGeqVmJzdPUj/6eppy4/X1JB/VnNyiZ1am2mgVLfi6ozH8\ncCiaTlY67Hi/V4Pz/W9/JF/sDOfd8ba8M84Wc0MNwhIL+HxHGK98f4Pg6Fz+N69LE5a8+Zk1rjN/\nHb7FqcsxdB27hQnDHdBQV+acXxzJ6QW0s9QjPilPas6jegJtxEBbNnh61IRPGdURVVUlJr61n29/\nv8LcKbX3gCJispjw1j7KK6rY/eNE7NsZ1ppWoOlo8S34+mMxLNl8my7WOpz/2gUjXbUG5bsQmsHS\n7WFMcDbjh9e7YmeujZa6Mn3s9TnwuRNtjTX44XA00SmFTfwGzYuyshJHNk5jzUfDaGOkxY6Doew4\neAsHG0N8/5mNrrakPk0fmYAz0JP0bCaNdJSxN3aoPWqqykTEZJGbL38JMSImC/fZu8jKLWb3jxOY\nMFx2oq41U91C5+YVy42vbuEN9LXkxj9LWnQL/tPhaD744w7dbHQ5u9rlsbrUxwLTABjWw1gmTktd\nGWcHAw5eSeFGdB525i1jU0JToaqqzKcLXPh0gYtUeElpBfdiszEx1KT9I5NwHdsbkZZZhIGu7GqC\nsrISejpqZGQXU1xSgb6udPzdyAxGzP2HzOxi9v48iYkjZD8SrZ2OHSRj74ioFLnx96JTgdrH6M+S\nFtuCr90fyQd/3KFXez3Ofz3gscfLpeVVAKTnlsmNT38ws66m0mKroMn5x+sOZeWVzHpBepgyfKAt\nALfupcvkSc0oJCO7GB1ttZoJvGpCw9Nwm72LrJxi9q+frJDiBnAb1BmA0963qKqqkorLzy/GN+Ae\nWlpquDh1aI7iSdEif92r/4ngs+1h9O2gz9mvXDDRq71bXl5RRVhiAVHJ0l3twV0lu6Y2n4rnfqZ0\nV+rEtTR872ahoabEwE6KMTYsL68kLCqTqPhsmbi8Atn12OA7qXyy1htDfQ2W/qdlf21aD7Q0Vfn1\n7+s1M+0AlZVVfLL2PADTRndE5ZGPY/CdVNxn7ya/sIxDv01lnFvz/7iflvLyCsIikoiKSZUKt29v\nhodbN2LjM9iw5ZxU3Iq1ByksLGX2DFe0tZt/ElckFovrT/WYODkYiAN/GPxEebefS2DezyEoK4l4\n5wVb9LVkRxG2ZlrMHW4NQGxqEXZvnMfGVJOYLQ83HVRViRm94ipnQzLQ1VRhsos5ZobqhCUWcCww\nFbEYfpzfhfcmSC/ffLsvkvDEAgCCY/IIicljYCdDHCwl3XjXLkZPvy+9U7cGJTt0JoLDZyUbVVIy\nCjl1OQY7awMGO0l23xkbavHdUndJPSTmYOe+EZu2esR4L5Sy4zJtO5oaKnR1aIOuthphUZl4XYxC\nU12FI79PY6iz7PtsPxDKa595oaOlxuSRjhgaaHDxajzBd9NwbG+Ez+5XajbOZOeW4DByI1k5JQwf\nYINrXysZewBL5vbDQK/+TUQi484Nqp8n4ZDXNQ4dvw5ASloup86HYmfbhsEukp18JsY6fLfqRQBi\n49Np3/sjbKxNiA3+XsrOf7eqdna04Oq1aLx97uJob47fyS+bdKuqyPjVa2Kx2Km+dC1uDB6TKpmg\nqKwS8/ORGLlphnYzqhF4bSgpifBa4cwGr1j2XE7i4JUUikorMdJVZWxfU94d3x6P3rLr6aeup3Hx\nVpZUmF9YNn5hD1vGZ3XwJPhuKtsP3pIKi07IITpB0qratNWrEXhdTB3diT1ed/j7yG2KSypoa6bD\nGzN68dlbLliZ68nN8+qU7ti01WPtpiscOX+PwuJy2lno8dH8/nz+1gApoebml5CVI5lwO+cfxzn/\nOLk2507p3iCBNyXBt+LZ/o+PVFh0bDrRsZLhiI21SY3A68K+vRlB5zxZvuYAJ8+HcvxsCBZmBrz3\npkeLOmzS4lrw54IGtuDPK03ZgisKDW3BW+QYXEBAoHEQBC4goMAIAhcQUGAEgQsIKDCCwAUEFBhB\n4AICCkyrFfiF0AyUJhzDc1e43Pj288/Rfv7DXUbbziWgNOEY284l4BWYiusnvuhMP4HRi6eY/m0Q\n95IKnlXRnwkXrsah5Pgtnusuy41v7/Yr7d1+rfl724GbKDl+y7YDN/HyjsR15k50en6PkdOPTH/3\nIPdis+Taac1c8LmLyPhVPNcelBtv2+tDbHt9WPP3tl2XERm/yrZdl/E6HczA0avRtn4DQ7u3mTb3\nF+7Vsje9OWm1An9SDvqnMPmbIKyMNVg8vj0DOhmw3y+FAR/71uxge545eDqCyYsOYGWuy+I5Tgzo\n1Zb9p8IZMGMH4U/o9FHROOAVxKTZ67CyNOS9BR4M6NeB/UeDcBm1ivAndOLYVLS4nWxNzdGAVI58\n2Y8X+pnVhP18JJr3t9xh0cZQzn41oBlL1/wcPR/Jkd+n8cIje8l/3h7I+1+fY5Hnac7uqH+Xl6Jz\n9GQwR3e9zwujHvom+Pn30yz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AfASBCwgoMILABQQUmHoFLhKJrEUikbdIJLojEolui0Si955FwQQEBJ6ehsyi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\n9GQwR3e9zwujHvom+Pn30yz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XEpkx1IqdS52bdAhTzfq/rrHk63N06WDM+R0vYmTQgBn7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\nEfECyG8R6UxExOeImGk8/wnM4a7JbUkZcLe0WjK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SV6lU6trMWLzAAkFjoCaz6BLgd+CuVCoVh3MJBE2ImrTg7sAMYJBEIgl48G9k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\ni5XGPytUdgKJlYVsZ1RmdsO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SV6lU6trMWLzAAkFjoCaz6BLgd+CuVCoVh3MJBE2ImrTg7sAMYJBEIgl48G9k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\ni5XGPytUdgKJlYVsZ1RmdsO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SV6lU6trMWLzAAkFjoCaz6BLgd+CuVCoVh3MJBE2ImrTg7sAMYJBEIgl48G9k\nHddLIBDUAtWOwaVSqTeIQZFA0BQRlmwCgQojBC4QqDBC4AKBCiMELhCoMELgAoEKIwQuEKgwQuAC\ngQojBC4QqDBC4AKBCiMELhCoMELgAoEKIwQuEKgwQuACgQojBC4QqDBC4AKBCiMELhCoMELgAoEK\nIwQuEKgwQuACgQojBC4QqDBC4AKBCiMELhCoMELgAoEKU+OzyeqL1Kwi9l5M4MiVRG5GZnM/rQAt\nDTU62Rsye3AL5gxpgZpazd20H76cyJqDEdyJySE1uwgbUx16OBnz7jhHerc1lUtbXFLGz0ciCYzI\n4np4FndisikukfLbW52ZO6xlbd9qtew6FsQ5/2gC7yYRGJREdm4RL4/pwLZvRj9WOVKplI07A/n9\n30Buh6YglUI7J3NendyFeVO7Vvo8C4tKWLvtKjsO3yU4Io3SMinNrQzo3bU5/7d4EM3M9CrKP34h\ngsNnQ/G+EktUXCb5BSXYNzdmRH9HPnm9N1YW+k/9PGqDXQcuc84niIBb0QTeiiY7p4CXJ/Xmz1/f\neOyyYu+nsfTrPRw7fZPU9BxsrEwYN7I7yz4ah6lJ47jfRifwf33imf/LTWzMtPHoZE4LC10SM4rY\nezGe19be4Ni1JHZ+3APZiUpV8/Hmu/zfnjDMDTUZ28saCyMtwuJz2e+fwG6/eLYs6sp0D7uK9LkF\npby7UXbsuZWJNtYm2sSkFNTZvVbHlz/7EhiUhIG+FnZWhgSFpz5ROTM+OMjfB+9gaa7HtFHt0dPV\n4JRPJPOXHcfvWixb/k/xg5GQnMPwV3ZwMzgZ9+52zJ3SBXV1NWLisjjuHcEHKbkVAi8sKmXk3J1o\naarTv2cLBvdxoLSsDC+/KNZsucKOw3c5//fLODuYPdXzqA2++PYAgbeiMdDXwc7WlKB78U9UTlhE\nIn2e/4Kk5CzGPt+dts42+F8L58dfT3Ds9E18ji7B3Myglmv/+DQ6gbvY6rN/SU9GuVrKtSxfzWzD\nc+97s9s3gT1+CUzsY1NlOQnpBXy7LwwrE20C1/TH0kS7Is7rRgqDl1xk2d8hcgLX01bn8DI3urYy\nwsZMB8+/g1nxz73av8ka8t2ng7GzNqS1vSnn/KMZNGP7Y5ex90Qwfx+8Qys7Yy7tmoXFA1EWFZUy\n6e09bNt/m7FDXJgwvE1FnrIyKVPf2UdweBr7109k9CBnuTKlUillZdKK3+pqEla+25/5L3XH1FhH\nrpz5nsf57Z8A3l91mgO/Tn7s+tc233/xEna2prR2tOKcTxAeY79+onLmf7iVpOQs1qyaztvzhlaE\nv7fkb77/5TiffbmL9d/OrqX5wl7SAAAgAElEQVRaPzmNbgw+qIsFo92sFLqN1qY6vD7CHoCzN6tv\nyaKS8ikrg+dcTOTEDeDR2QJDXQ2SswrlwrU01Xi+hyU2Zjo0Bjx62ePsYFaj3kpl7DspO8b5vVfc\nKsQNoKWlzop3+gOw7q+rCnkuXIll0eyeCuIGkEgkqKs/fHU0NdX57M0+cuIGUFOTsHSBOwBn/WOe\n+B5qE49+7XB2sn6qZxoWkcgJr1s4tLRgwdzBcnHLPx6Pvr4223b6kJtbWEkJ9UejE3hVaGrIqquh\nXv0fx9lWHy0NNfzvZZCSVSQXd/5WKtn5JQzpYlEn9WxMJKTkAuDYwkQhzrGlLOzClViKikorwrcf\nkg1TXnyhHYkpufz+byCr1vvxx+4b3E/Ifqzra2qqAzX7mzUVvLzvAjDMoyNqavISMjTUxd3Nmby8\nIi5eCW2I6snR6LrolVFSWsY2r1gARnRvVm16M0Mtvp7Vlvc33aHDgrOMfc4ac0NNwhPyOOCfyNCu\nFqyf37muq93gWJjKWu2I2EyFuPDoDABKSsoIj8mgrZM5AJdvysal/jfiefer0+TlF1fk0dRU4/MF\n7iyZ716j62/adQOAEf0cn/wmGhnBoQkAuDhZK413drTihNctQsISGDygQ31WTYEm04Iv3hLErahs\nRrpaMry7ZY3yLBrryO5PXCkplbLxRDSrd4fxr088LSx0mDW4hULXXRUZOdAJgO//8CctI78ivLi4\nFM+fLlT8Ts96OJmYlJoHwHzP48wa34mw02+QfnURu34aj6mRDkt/uMDmPTeqvfblG/GsWOuNob4W\nK9/tX1u31OBkZsmej7GRrtJ4YyPZRzUjM6/e6lQZTaIFX3Mwgu/2hdPWzoCt73atcb7/7Q7ls23B\nvD3agbdGOWBtqkNQbA6fbg1i+rfXCQjP5H9z2tdhzRueaaPa8ef+Wxy/EEGHkRsZM9gZHW11TvtG\nEZ+cQ0tbI6LjsuTmPMon0Ib0cWCd57CK8AnD26CpqcbYN3bz9a8XmT2h8h5QSEQaY97YRXFJGdu/\nH4tTS9NK0wrqjkbfgq89FMGiDbdp38KAM1/2wsxQq0b5zt5MYfGWIMa4WfHdqx1wtNZHT1ud7k7G\n7PnUlebmOny3P5zwhNw6voOGRV1djQPrJ7Hqg4E0M9Nj696bbN17C2d7U3z+mYGhvux5Wj4yAWdi\nJOvZjBvqolDeyAFOaGmqExKRRma28iXEkIg0Bs34m7TMfLZ/P4YxgxUn6poy5S10Zla+0vjyFt7E\nWE9pfH3SqFvwH/aH897vd+hob8iplb0eq0t96HISAAM7myvE6Wmr4+Zswt6LCVwPz8LRunEYJdQV\nmprqfDyvFx/P6yUXXlBYwr3IdCxMdWn1yCRcm1ZmJKXmYWKouJqgrq6GkYEWKen55BeUYGwoH383\nNIUhs/8hNT2fnT+OY+wQxY9EU6dNa9nYOyQsQWn8vfBEoPIxen3SaFvw1btDee/3O3RtZcSZL3s/\n9ni5sLgMgOTMIqXxyQ9m1rU0Gu0jqHP+OXyHouJSpr0gP0wZ3McBgFv3khXyJKbkkpKej4G+VsUE\nXjk3g5PwmPE3aRn57F47XiXFDeDRtx0AJ7xuUVZWJheXnZ2Pj/899PS06OXauiGqJ0ejfLtX/hPC\nJ1uC6NHamFNf9MLCqPJueXFJGUGxOYTFy3e1+3WQWU1tOB7N/VT5rtTRq0n43E1DR0uNPm1VY2xY\nXFxKUFgqYdHpCnFZOYrrsQF3EvlotRemxjos/k/L/sqkzujpavLzX9cqZtoBSkvL+Gj1GQAmjWiD\nxiMfx4A7iQyasZ3s3CL2/TKRUR4N/3I/LcXFJQSFxBEWkSgX7tTKimEeHYmMTmHdxtNycctW7yU3\nt5AZU9zR12/4SVyJVCqtPtVj4upsIr38Xb8nyrvldAxzfgxEXU3CWy84YKynOIpwsNJj9uAWAEQm\n5uH42hnsLXWJ2PjQ6KCsTMqIZZc4FZiCoa4G43tZY2WqTVBsDocuJyKVwvdz2/POGPnlm693hRIc\nmwNAQEQWgRFZ9GlrirOtrBvv3t7s6e3S23asUbJ9J0PYf0pmqJKQksvxCxE4tjChn6vM+s7cVI9v\nFg+SPYfYDBwHrce+uRERXvPlyuk1aQu6Ohp0cG6Gob4WQWGpHD4Xhq62Bgd+ncQAN8X72bLnJq98\nchgDPS3GD3XB1ESHc5eiCbibhEsrM7y3T68wnEnPLMB56HrSMgoY3Nse9x52CuUBLJrdExOj6o2I\nJObtavR8noR9h6+y78g1ABKSMjl+5iaODs3o10tmyWdhbsA3K14EIDI6mVbdPsC+hQWRAd/KlfNf\nU9V2LjZcuhqOl/ddXJys8T32eZ2aqkrMZ12VSqWu1aVrdGPwiETZBEVpmZQfD0QoTTOgo1mFwCtD\nTU3C4WVurDscyY4Lcey9mEBeYSlmhpqM7GHJ26NbMayb4nr68WtJnLuVJhfmG5SOb9DDlrG+Np4E\n3E1ky95bcmHhMRmEx8haVfvmRhUCr4qJI9qy4/Ad/jpwm/yCEppbGfDalK588kYv7KyNlOaZNaET\n9s2NWP3bRQ6cuUdufjEtbYz4YO5zfPpGbzmhZmYXkJYhm3A77RfFab8opWXOntCpRgKvSwJuRbPl\nH2+5sPDIZMIjZcMR+xYWFQKvCqdWVlw57cnSVXs4duYmR04FYmNlwjuvD2tUm00aXQv+TFDDFvxZ\npS5bcFWhpi14oxyDCwSC2kEIXCBQYYTABQIVRghcIFBhhMAFAhVGCFwgUGGarMDP3kxBbcwhPP8O\nVhrfau5pWs19aGW0+XQMamMOsfl0DIcvJ+L+kQ8Gk49i9uJxJn99hXtxOfVV9Xrh7KUo1Fy+xnPN\nBaXxrTx+ppXHzxW/N++5gZrL12zec4PDXqG4T92GQZdvMXP9nslv7+VeZJrScpoyZ73vIjGfhefq\nvUrjHbq+j0PX9yt+b/77AhLzWWz++wKHTwTQZ8RK9Fu8hqnjm0ya/RP3KrFNb0iarMCflL1+CYz/\n6gp25josHN2K3m1N2O2bQO8PfSos2J5l9p4IYfyCPdhZG7Jwpiu9uzZn9/Fgek/ZSvATOn1UNfYc\nvsK4GWuwszXlnXnD6N2zNbsPXqHX8BUEP6ETx7qi0Vmy1TUH/RM58HlPXuhpVRH244Fw3t14hwXr\nb3Lqi94NWLuG5+CZUA78OokXHrEl/3HLZd798jQLPE9wamv1Vl6qzsFjARz8+11eGP7QN8GPv55g\n0ad/Mf/DrZze93ED1k6eZ64FH9TZXE7cAG+NaoWTtR5nbqQSldTwXjgakkG97OXEDfDW9B44tTTh\nzMUoou4run561hjUr72cuAHemjsEp1aWnLlwh6iYlAaqmSLPnMD7d1TcH66uLqFve9nus+vhWfVd\npUZFfzdFG391dTX6PthAcv1OokL8s8YA9zYKYerqavR9TrY99voN5bb4DcEzJ3CrSvaVW5nKwjNz\ni5XGPytUdgKJlYVsZ1RmdsO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ZbL1MJnOVyWSuLYwf//SWQCB4fGqzii4BvwLBMplMXM4lEDQjatODewDTgcGS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\nXhE++J7V2dGLiUrlRSbkEhafi72VHo4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ZbL1MJnOVyWSuLYwf//SWQCB4fGqzii4BvwLBMplMXM4lEDQjatODewDTgcGS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\nXhE++J7V2dGLiUrlRSbkEhafi72VHo4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(0, 1) a:right s':(1, 1) a':right\n", "----\n", "s:(1, 1) a:right s':(1, 1) a':right\n", "----\n", "s:(1, 1) a:right s':(2, 1) a':left\n", "----\n", "s:(2, 1) a:left s':(1, 1) a':up\n", "----\n", "s:(1, 1) a:up s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(2, 2) a':right\n", "----\n" ] }, { "data": { "image/png": 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f/grl579ucDsqA6kUOjuY8cL0Hrw0s1eNzzk1o5C13wdwzDuapLQCDPU1GdzX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\n9zOZuGcPt2HHW67VXaDm5OvtV3hz/Xm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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(1, 2) a:down s':(1, 1) a':up\n", "----\n", "s:(1, 1) a:up s':(1, 2) a':left\n", "----\n", "s:(1, 2) a:left s':(0, 2) a':right\n", "----\n", "s:(0, 2) a:right s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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Pm2ndejwWFt1xcxvEK698rrL7LCTkLJLUiYSEFBISUpCkTuX/pkyZr6sm0s8ePDYph67P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\niopl5a/NylAoFHz+8ylCztxi/JBmOnd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zHqGloUZnB0Pmetozb5g9amrKu2k/dT2VjSdiuJ9QQGZ+KTamOvR0NubdCU70\na2cql76kTMxv5xPY6ZVAdEoRj8oqsLfQZVg3C96f4ISDpV59Xm61ZGYXc+RiBKcvR3MnIoPE1AK0\nNNXo3KYFcyd2Yt6kTnXqh4cp+Sz/0Y9zV2LIzHmETQt9xnu6sGJhf0yNdeTSq7X/ttqy+nSx4eq+\nWTJhHi//xeXrD2tsw7xJnfj9y1FKt7khOHj8Opf9w7h1N56QuwnkFzxi1pS+7N78Zp3LepiUxfKv\nj3D20l0yswuwsTJmwpgerPhwPKYm+g3Q+rqjcgI/4JfMgl/uYGOmjUdnc+wtdEnNKeVIQDKvb7rN\n2eA09n/cE+kXlWrm4+0P+OZwFOaGmozva42FkRZRyYUcC0zh0NVkdizpxmwPu6r05eIKhi0LwO9B\nNu3sDHhpUEu0NdUIishh08lYdnk/xG+dOx1aGTZkFwBw4FwYC1ZdxKaFPh59WmFvY0hqZhFHLkTw\n+ufnOHslmv3fj1OqH6Lic3Cf+SdpmUWM93ShbWszrt9JZuOuYM75xuK7Zwbmprpy+RxsjXhlYke5\ncDsr+et/ZWInBve2V1j/pt03ycp9xOhBrZW48oZlzfoThNxNwEBfBztbU0Ijkv9TOVExafQf8yVp\n6XmMH92ddq42BAZH88OvFzh76Q5+pz/D3Mygnltfd1RO4G1s9Tm2rBcvuFnKjFBfvdyWPu/7csg/\nhcNXU5jc36bGclKyH/Hd0SisTLQJ2TgISxPtqjjv2xl4LgtgxZ/hMgI/cjUFvwfZeHa14NyqPjL1\nr/gzjNV/RfDtkWi2Le5aj1esmDaOZhz7eSIvDHaS7YclA+kzfTeHzkdw+EIEk0e0qbWshV9cJC2z\niB8+G8qi2T2qwt/72pvvd9zgsx982bxyuFw+x5ZGrHzbXan2zp3YSWF4WEwWX/x0FSsLPcYPdVGq\nrIZkw+oZ2Nma4uJkxWW/MDwmrPtP5Sz4aCdp6XlsXDuLRa8Pqwp/b9leNmw+z2dfHmLzd6/UV7P/\nMyq3Bh/a1YKxva3kpp/Wpjq8OcoBAJ87mbWWE5dWTEUF9GljIiNuAI8uFhjqapCeVyITHp1aBMCY\nfz1cAMb3sQYg4195GoqhfVsx1sNZvh9a6PPmdOkDxicwodZyouJzOO8Xi2NLIxbO7C4Tt2qRO/p6\nmuw+fo/CotL6a/w/2LI/BJA+ADQ11RukjrrgMbA9rs7WSs18qiMqJo3z3vdwbGXBwteGysSt+ngC\n+vra7DrgT2Fh49wrNaFyAq8JTQ1pczXUa/9xXG310dJQIzAih4w82Zv377uZ5BeXM6yrhUx4x8dT\n77M30qiokP1G9cnrqQB4/iu+h1FJAAAgAElEQVRPU/CkH2r/+byvxQMw3N1R7mFhqK+Fe/eWFBWX\nExAiP1XNyS9h26E7fPVrAD/tuUnAraQ6tbOktJxdx+4jEsHrU7vUKa8q4+37AIARQzqi9q9vvRsa\n6uLe24WiolICbkQ1RfNkULkpenWUiyvY5S3dxBnVo0Wt6c0Mtfj6lXa8v+0+HRf6ML6PNeaGmkSn\nFHE8MJXh3SzYvED2pnvBzZJJ/aw5fDWFLosu49nNAi0NNYIjc/F9kMXbLzqy8AXHhrg8pSkvr2DX\nsfsAjBpYe1vCYrMAaOMov6EI4OJgwnk/CI/NxrOfg0xcSGg685edkwnr2q4FO9eNoXOb2n+Dwxci\nyMguZnh/B5zsTWpN/6wQFpkCQBtna4Xxrk5WnPe+R3hkCp6DOjRm0+R4ZgS+dEcod+PyGeNmycge\nlkrlWTLeCUcrPV7bGMJv5+Orwl1s9HjF015u6i4SiTiwtCer9obz5f5I7icUVMV5drVg5qCWSo2a\nDcnS9X9zNyKDMYNaM3JA7ZtWufnS2YuxgbbCeGNDaXhOvux08t25PZk8og1tHE3R0dIgNCaL//st\nkIPnwvGcu5+bR16mpYLNtn+ydf9tAF6f1nxGb4DcvGIAjI3kNyal4dI3LTl5RY3Wpup4JqboG0/E\nsP5oNO3sDNj5bjel8/3foUimfn2DVzztiNziQcGB0QRtGIiTtT6zv7vJR3/cl0n/qFTMS/8XzPpj\n0Wx6qxNJO4aR89dITq3oTVxaEYM/9edYQEp9X57SbNwVzPo/gmjnZMbOdQ37ifbvPvagf/eWWJjq\nYaCvhVsna/Z/P47JI1zJyC7m221BNeaPiM3GJzBBZTbXnldUXuCbTsawZOs9Otgb4PVlX8wMtZTK\n53Mng6U7QhnX24r1r3XEyVofPW11ejgbc/hTN1qa67D+WDTRKYVVeb4+GMkBv2TWzG7Hm6McsDbV\nwUhPk9E9LTmw1I2ycglLfrvXUJdaI5v2BLPkKy86OJvjtX06ZiaKR49/Y/y4v3ILFG/45D4euU0M\nFY/w/+bN6dIH7JWgmt95bzmgWptr9UnlyF05kv+b3Mcjt4lR49hM1IRKC/z7Y9G8s+UenRwM8fqy\nH9am8gYZ1XHyehoAQ7qYy8XpaavT29WEigq4GZ1XFX4qSJrHo7N8nq6tjTA10CQurZjMvIbZca6O\n73fc4J01XnRytcBrxzSsWyhvRNHW0QyQrrEVERmXA1S/Rv83LcykN3dhcVm1aUpLxew8eq/Zba5V\n0tZFuvYOj1I8m4uIlm7ItnFRvEZvTFRW4OsORfLe7/fp1toIry/7ya2Xa6OkrAKA9FzFYkx/LFIt\nDTWl8pSUickvLpfL09Cs23qN9772plt7S7x2TMPSvG4WUh59WgFwwS9W7s1AfmEpfjcT0dPVoG/X\nmu0KKqncbXeyM642zZGLEaRnFTOsX/PaXKvEY0B7AM773KOiokImLj+/GL/ASPT0tOjb07kpmieD\nSgp89V/hfLIjlJ4uxlxc0xcLo+qn5WXlFYQ+LCAquVAmfGBH6ci19Vw8iZmyU6kzN9Lwe5CFjpYa\n/f9hrjqggzTP2oORlJSJZfKs/DOccrGEXq7GGOo1zt7k6p+v8sn6K/TsaMXFbVOxMK1+yldWJiY0\nOpOo+ByZcOdWJoxwdyQ2MY+f/rwpE7fiRz8Ki8qYPa4j+npP+vh2WDpl/7r+yvBl3/sCMGtc9bvD\nWw9IN9femN7wBkENSVlZOaERyUTFpMmEO7e2ZIRHR2LjM/jpdy+ZuBXrjlJYWMKcqf3R16/boNQQ\niCQSSe2p6oibq4nk+vqB/ynvjksJzPshBHU1EW+/6IixAjE5Wukx11NqFhmbWoTT6144WOoS85tn\nVZqKCgmjVlzjYkgGhroaTOxrjZWpNqEPCzh5PRWJBDbM78DicU5VeRIzi+n3oR8PMx7haKnLyB6W\n6Gqr4f8gm8DwHHS11Li4pp9CG/Y64dqu9n44epd5n5xFXV3E27N6VK2lZfqhpXGVBVlsYi5Ow7bi\nYGtEzKU3ZNL921S1nZMZgbeT8b6WQBtHU/z+nCljqjrvkzOc8I5ioJsddtaGaGupExadxVnfGMRi\nCfOnduHXVcMVGotExmXTdvTvWJrrEe/15n9af4tayJvH1hdHTwdz9HQwAClpuZzzuouTYwsG9pVa\nBFqYGfDtFy8BEBufQeseH+Jgb07sTVnb/H+bqrZvY8O1G9F4+4bSxtka/zMNa6oqsph3QyKRuNWW\nTuVek8U8tiYTV0j44XiMwjSDO5lVCbw61NREnFrRm59OxbLvShJHAlIoKhFjZqjJmJ6WLBrbmhHd\nZd/ltjTX5caGgaw7FMXpoDS2X0qgQiLBxlSHuZ52fDTZhXZ2jWNfHPMwFwCxWMIPO28oTDO4l121\nJqL/xLmVCdcPzGbFj36cvRLL6b+jsbHQ5505PRQeNhnv6UJeQSm3w9PxCojnUWk55sa6jB7YmvlT\nuzCuhl3xrQduI5Go7ubarTvx7PjLTyYsOjad6Nh0ABzszasEXhPOrS0Juric5V8f5eylO5y+eBsb\nKxMWvzlcpQ6bqNwI/lygxAj+PNOQI3hzQdkRXCXX4AICAvWDIHABgWbMMyVwj0/9URt38qnLWfln\nGGrjTuJzJ6MeWiUgoLo8UwJvSurr4SIg0Jio3C56Tex4tztFJfLvZwUEBBTzTAm8VQvl7K8FBASk\nqNQUPTa1CLVxJ5n3/S3CEwt46f9uYDXnPOrjpevl6qbJJWViVv4ZhvPrXuhMOo3T/Ess2x1KSZkY\ntXEn8fjUv9o6D/ol0ef9K+hPOY35zHPM+CZYxvKtsk2X70rPVauNO1n1r6ZymxqfwHjU2n/Lyk1+\nCuNbe26hteeWqr+3H7mLWvtv2X7kLqd8onCf8ScGPb7HrM+PTF18jIhqbNmfZXx8QxFZzGPluqMK\n4x27f4Bj9w+q/t6+1xeRxTy27/Xl1PkQ+o9eg36rNzF1XsiUeT8RUY1telOikiN4VEoRfT/wo01L\nfWYObklxqRgjPU2FaSUSCVPW3uBUUBqutvosfMGRMnEFOy495H58fo31/HI6juOBqYzrbcWgTuYE\nhuWw70oSITF53PxhINqa6pjoa7L8JVd2eD0kLq2Y5S+5VuV3tGr600L1zZELEZy5EsPEYS4M7m1P\nyIM0Dp2PwPtaAn57Z9K2tVlTN7HJOXzyBmcu3WHiCz0Y4t6OW3fjOXQiCG/fB/if/oy2rsrZ9TcG\nKilw3/tZLJ3iwlcv124QstsnkVNBaQzsYMaF1X3R0pROSr6Y2ZZ+H/rWmPdscDqB3w2gs6NRVdis\nb4PZ+3cSx66lMm2ALSYGmqyc2ZbLdzOJSytm5cy2T3dxKs4J7yiO/zyRFz2eHJT4YecN3l3rzcIv\nLnLxj2lN2DrV4MS5W5zYs5gXRz7xTfDDr+dZ8tleFny0i0tHPmrC1smiUlP0SqxMtFkxw7X2hMBO\nL+m55NWz21aJG8DEQJNl02s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Ug0GpnLiRxp2EfFKynqCjpUFHJ2Nm+Doyc6AjGhrKu2k/fj2N74/Gcy+5gMz8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\nMbqXPae/9iYzr5Q3v71Ra57KETq3mg2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lRhC4gIASIwhcQECJEQQuIKDECAIXEFBiBIELCCgxgsAFBJQYQeACAkqMIHAB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\n1iJoTR/mDXMg/4GYn0/Gc+xGOpP6WLN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lRhC4gIASIwhcQECJEQQuIKDECAIXEFBiBIELCCgxgsAFBJQYQeACAkqMIHAB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\n1iJoTR/mDXMg/4GYn0/Gc+xGOpP6WLN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wdTQlNbOQHYdiefXjA/ifjGfrilH1qp+4pGz8nvuDtMxCRg9uSWsPK0Iv3uS7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\nWsgdaFxLVl4duBKfWmNLfDw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gV0vcnM1Jyyxk24ErvPDhPgKPJbBp+ViV9/Vv4pNz8J/2B+mZhYwb0po2rWw4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\nYwKHMYHDWHeKteyfpsqlAAAAAElFTkSuQmCC\n", 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gV0vcnM1Jyyxk24ErvPDhPgKPJbBp+ViV9/Vv4pNz8J/2B+mZhYwb0po2rWw4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\nYwKHMYHDWHeKteyfpsqlAAAAAElFTkSuQmCC\n", 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gV0vcnM1Jyyxk24ErvPDhPgKPJbBp+ViV9/Vv4pNz8J/2B+mZhYwb0po2rWw4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\nYwKHMYHDWHeKteyfpsqlAAAAAElFTkSuQmCC\n", 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ITGJTCsjILcbCWAdXOwNmDmvBq56O6DRRfvdF3Mnlyx1hnAhMJSWrEAsjXYZ2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\n8smppBzuqd5vXx5emfPGp5F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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(0, 1) a:down s':(0, 0) a':left\n", "----\n", "s:(0, 0) a:left s':(0, 0) a':left\n", "----\n", "s:(0, 0) a:left s':(0, 0) a':up\n", "----\n", "s:(0, 0) a:up s':(0, 1) a':up\n", "----\n", "s:(0, 1) a:up s':(0, 2) a':right\n", "----\n", "s:(0, 2) a:right s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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IZLK1MpnMRyaT+diaP/ruLYFA8Oios4ouAT8BV2Uy2dcN3ySBQFBfqNOD+wHT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\nXOCr8KnrUfktOI2Ssgqe6/No3/UHdbH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IZLK1MpnMRyaT+diaP/ruLYFA8Oios4ouAT8BV2Uy2dcN3ySBQFBfqNOD+wHT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\nXOCr8KnrUfktOI2Ssgqe6/No3/UHdbH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B4OFRZRZdAvwCXJFKpd83fZUEAkFjoUoL7gdMBgZJJJJzd/6p5q9XIBA0K/WO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\nHAb1aysnboCZrz2Fh5sNgce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8V14esVi8USwWe4rFYk9zfeEHEhBoCSjiRRcBvwF3xGLx901vkoCAQGOhSAvu\nBUwDBolEousP/r3QxHYJCAg0AvWOwcVi8XmgEWKiCAgIPGuEmWwCAkqMIHABASVGELiAgBIjCFxA\nQIkRBC4goMQIAhcQUGIEgQsIKDGCwAUElBhB4AICSowgcAEBJUYQuICAEiMIXEBAiREELiCgxAgC\nFxBQYgSBCwgoMYLABQSUGEHgAgJKjCBwAQElRhC4gIASIwhcQECJEQQuIKDECAIXEFBiBIELCCgx\nCu9N1hR8tDOKq/F5RKYUkpFfjraGCg6m2oztas5bQ+0w1dNQqJ7dl1M5E55NaGI+oYn55JdUMqW3\nFVvf6CA3f3x6Mc4fnK+1vpd7WrJjfkeptLtZJWw5f4/QxHxCEvKJTS9GLIbIr71wtdRR/KIVJDO7\nmH2nojhyJpabURkkpxagoa5CBzdzZvi0Z+b49qioKB6u/m5KPst+CuT4uTgyc0poZa7L2MGuLF/Q\nB2NDLZn8Km2/rbWunh1bcWHnFKk07+l/c+by3TptmDm+Pb99MUJhm+tj98HLnAkM53pYEqFhieQX\nlDDlpd5s2zCvSeuJiklh779XOe4XRlRsKqnpuRgb6dKrmwvvvDEM735tZcps/uscM9/+rVYbfvl2\nOm/MHNQguxWhWQW+5ngCXR0NGOJhioWBBoWllVyKyWXF/lg2BSRzYVkP7ExlH77H+eJgLKGJBehp\nqWJrrEX4/UKFzt/JXo+xXS1k0tvb6smkXYnL49M9MYhE4GSmjaG2GjlFFQqd50n453gE81ecopW5\nLt497bFrpU9qZhH7TkYx59PjHDsXy641Y5DsLFU3MYk5eE3+i7TMIsYOdsXdyYTLN++zdus1jp+P\n5/z2VzE11pYp52BtwGs+HjLptpb6Mmmv+bRnQA87uedfty2ErNwSRvZ3UuDKFefz7w4SGpaEnq4W\nttbGhEfdfyb1fLp6Lzv3BdPO3ZoXhnbExEiXiOgUDh4L4eCxEH5cNYWF84bKLTt2ZBc6d7CXSffs\n3Lj3pppmFXjuem+0NFRl0pfsjmb1oThW/xvH/70m+zZ8nO8nu2NrrImrpQ5nwrMZ9OVVhc7f2V4f\nXx8XhfJ6Ohlw5hNPOtnrY6CthvfqK5wJz1ao7JPg5mjCgf/zYdQAZ6mWetU7/ej58jb2nIhi78ko\nJgxzq7euBStPkZZZxI9LBvH21K416e996c+aLVdZ8uN51vvKPpCONgb4vuWlkL0zfNrLTY+Iy2Ll\nzxewNNNh7CBXhepSlB8+n4yttTGuzpacCQzHe+xXz6SeEYM68NHCUXTp6CCVfiYwnKETvuFD351M\nHNudVlZGMmXHvdCVGZP7PZFAunnbAAAgAElEQVSdT0KzjsHliRtgUg9LAKJTixSqx7utCa2tdBVq\nzZ4UWxMt+rkbY6D9bN6Jg3rZM9rbRaYbbmWuy7yXOwEQEJxUbz0xiTmcCIzH0caABZO7SB1b8bYX\nujrqbDt4i8KissYz/hE27goFJC8AdXX5v/eT4t2vLa1drJ76d29oPTMm95MRN8AArzYM9GpDWVkF\nQcFRT2VTY9GsLXhtHApJB6CDnWxXuTG5l13KBv+7ZBaUY6qnTm8XQzray3Y/WxrqapL3sppq/e9n\n/0uJAAz1cpR5WejrauDVxYYTgfFcDL3P4N7SD21Ofim/77lJSkYhhnqadPOwpFdna4XtLC2rYOuB\n24hEMGdix/oLKAHVLzE1Nfkvs+thiaxZf5ySknJsWhnj3bcttjYmTWZPixD4t0fiKSitJLeogqvx\neZyPzKGjnR6LRzXNuKSak7eyOHkrSyptYBtjNs/1wN5UdkzaEqioqGLrgdsAjOjnWG/+iHjJ9bk5\nGss97upgxIlAiIzPlhF4aHg6ry89LpXWqY05f371Ah3czOs9996TUWRkFzO0jwPOdrLdVWUjISmD\n02dvo6OjQf8+7nLz/LjhpNTfqqoqvD6tP2u+mIyWlmJO5YbQIgT+3bEEUnMfdhFHdDDljzkemBs0\n/gUD6GiqsnSsE+O6WuBsLhHyjaQCVuyPwf9ONkO+ukrIZ73R1WzcLmVjsPj7s4RFZfBCfyeG963/\nBZibL7mvhnqaco8b6kvSc/JLpdLfndGNCcPccHM0RktDjfC4LL7+NZjdxyMZPGMXIfumYyPH2fYo\nm3bdAGDOJOVvvUtLy5kybwOlpRV87TsJYyNdqeNODub89OVUhnm3x9bamNy8Ys5fiuTjz3azYXMA\nefkl/LXxjUa3q0V8B7+/dgBVW4Zyf21/9rzdidj0Yrouu8i1+LwmOZ+FgQYrx7vS1dEAI111jHTV\n6d/GmOMfdqWniyHRqcX8eia5Sc79NKzdeo3v/7hCG2cT/vyqabdo/+4jb/p0scHMWAc9XQ0821ux\na80YJgxrTUZ2Md/+fqXO8lHx2QQEJzWJc62lUVlZxbQ3NxJ4KYqXfXrwwVsjZfIM8GrDW3OG4OZq\nhY6OJq2sjJg4tgf+Bz7C2EiXHXsuEhqW2Oi2tQiBV2NpqImPpwXHP+xKZkE5r20Me6bnV1NVYXZ/\nyRjzXETTecifhHXbr/HOKj/auZjit/llTIwUG0IY6kt6QbkFpXKP5z5ouY305bfwjzPv5c4AnLtS\n9zfvjf80nXOtJVFZWcXUNzbwz4HLTBrXg23r5zXI6WdnY8oLQyQ9nLNBEY1uX4sSeDUOZtq0s9bj\nVnIhGflN492tjephQWFp5TM9b12s2XKVhZ/70b61GX5bJmFlrlt/oQe4O0ocOJHx8l9Y0Qk5QO1j\n9McxN5G8WAqLy2vNU1ZWyZ/7bym9c628vIJX5/zC33svMfmlXvy18Y1anWt1YW4mGeoUFsl/CT8N\nLWIMLo97OZKLVW3AbK3G4GJ0LgBO5i3DyfbVpkt8/P05Ore14MRvL2Fm3LBZc949JZMqTgbGU1Ul\nlvKk5xeWERiSjI62Gr06tVKovouhkkkgzraGtebZdyqK9Czldq6VlVUwadbPHDgawvSXvfhj3WxU\nVJ6svbx0NRYAZ0fZSVdPS7O14JEpheQWybYCVVViluyOJi2vjD6uhhjrqgNQXlFF+L1CYhT8Nl4X\n1+LzqKoSy6SfvpXJmhOScdDUPoo98E3JZ/93gY+/P0c3D0tO/T6xTnGXl1cSHptJTGKOVLqLvRHD\nvByJT87j579CpI4t/ymQwqJypo7xQFfnoUPzRkQ65eWyPZgbEeksXSOZ4jtlTLtabdn0j8S5NvfB\n9/qWQHl5BeGR94iJS3vqukpLy/GZvpYDR0OYPbW/QuK+EhInk1ZVVcXqH/7lwuVozEz1GTFI/tTq\np6HZWvAjoRl88k80fd2McDTTxlRPndS8Ms6GZxObXoyVoQYbZz18iJKzS2n3cRAOZlrEfSc9E2j/\n1TQOXJP8cCkPvPEXonOZuUkyhjfV0+DbVx/O+Hp/RyRRKUX0aW2IjbFkKuzNuwX43ZZ8Ulo53oU+\nrWVbnur6gJrpsIt3RaGvJemWzR5gQ183xbq69bFlfxjLfwpEVVVE3262rN12TSaPo41hzQyy5LQC\n2o36AwdrA+JOz5XK9/OyIXhN/otFX/jhdzGRNs4mBN+4j/+lJNwcjfliUV+p/D9svsIh/xj6edpi\na6WPpoYqEbFZHDsfR2WlmNcnduTVUW3k2h2dkI3/pUQszXQY463YLMEnZf/hq+w/IrkvKWmSnteF\nK9HMWLAJADNTfb5d+QoAyfezadv7ExzsTIm//t0T1wPwxvtbOHLyBmam+ti0MmblNwdkbBvo1YaB\nfR/Owuw+ZAXt29rSycMOm1bG5OYXEXgpmrA7d9HR0WD7hnkYGDR+r7HZBD7Ew5To1GICo7IJScgn\np6gCXU1V3Kx0mOrVioVD7THRU1eoruuJ+Ww5Lz1/ODa9mNj0YgAczLSkBD61Tyv2X03jclweR29k\nUl5ZhaWBJpN6WLJgiB393OWL9PFzAOy98rBFGNDGpNEEHndX8qBVVor58U/5U28HdLetdYroo7jY\nG3H5n6ks/ymQY+fiOXI2llZmuiyc1lXuYpOxg13JKyjjRmQ6fhcTKSmrwNRQm5H9nHh9YkfG1OEV\n3/TPDcTiZ+Ncux6WyJa/A6XSYuPTiY2XTJRysDOVEmZj1ROXKEnPyMyXK24A/oeUwD94awTB1+Lw\nO3eHrJwCVFRUsLcxYcHswbw3f3iTdM8BRGKxbFf1afF0MhBfXtGr0etVGnq0nK5rS0RkUf9L67+O\nyHTGVbFY7FlfvhbpRRcQEGgcBIELCCgxgsAFBJQYQeACAkqMIHABASVGELiAgBLz3Ao84E4WKq+d\nxHdfjNzjTu+fw+n9czV/bz53D5XXTrL53D0OX0/H67Ng9OacxuRNfyb+FEpUimJx3J4XAoITUWn7\nLb7rAuUedxq8EafBG2v+3rwvDJW237J5XxiHA2LwevUv9LquwaTnT0xcdICoWuayP88EnL+DyHQG\nvl/tk3vcsfP7OHZ+v+bvzX+dQ2Q6g81/nePwiev0GfE5unZzMXaez0sz1hEVk/KsTFeY51bgT8q+\nK6n4rA3F1liLhcPs6e1qyJ4rafReeZkIBYM1KjP7Tkbh8/YBbK30WDitG707WbPnRBS9X9lORFxW\n/RX8B9h7+Crjpv2ErbUxi+YOo3d3V/YcukKv4Z8R8YSBH5uKFrvYpKk4dD2Dg+925sXODyOS/Hgi\nkXe3R7Dgz3BOfdStGa1rfg75x3Dw/3x48ZFppj/+eZV3V/uzYOUpTv0xqRmtaxkcOnadQ3+9w4vD\nO9ek/bjhBO988hfzP/yT0/s/akbrpPnPteCD2plIiRvgrSF2uFho43c7i4SM4mayrGUwqJe9lLgB\n3prSBRd7I/wuJpKQnNtMlrU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Hs27pYKl0v4uJAHTvYFVrvdfvpHElLBUnW8Mmca5V0yIF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\nyi3E/5A0J+mVpHVJa5Jud13TtCt2iN60tH4CLjF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FenBvYBYwTCQSXbn7b1wr10tAQKAFaHIOLhaLA4EW8IkiICDwqBF2sgkIdGAE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\nWZ+3VMuqlk2D5/99MuTc+DSvfja7T9qQ4jG2meB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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(0, 0) a:down s':(0, 0) a':down\n", "----\n", "s:(0, 0) a:down s':(0, 0) a':right\n", "----\n", "s:(0, 0) a:right s':(1, 0) a':up\n", "----\n", "s:(1, 0) a:up s':(1, 1) a':up\n", "----\n", "s:(1, 1) a:up s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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IyC9yW1UlElkvLJXKr2n/e6tqjx5tuX49nt27j2NnZ0VIyC94ejacwNV1+NBkAl/yazjL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\ndV+/2rg2fWKHOtM9Cs2iB/83rtYGtHE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6LPI3TtVMdHwmvpO3kpJewNjBrfD2sOb8lbt8u+kCh/6OJWjbFKwt71//jKwi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\nVDILyhjRzvohjGvy0XtGLev1/OJyyv8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ZJew4HMurCw5w4O8Efl85HvmXpeonPjmX/lO2kJFdwvihrfH3tuPMhZt8u/Es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\nBjgVKffN1HjGNaHGwffs2Lrf539/27k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xe/FBHG2N8R/YAVcnM9Iyi9l6MJKZC/ax73gsf383Sa0P9cUk5uD3+EbSs4qZ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\n", 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sU6udB+GvgChmLDyEs70pQ/q0xs3FgrTMInYciuGVeQEE/BPPlmXjkH9Zqnbi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\ndaK8Usbh85m42BjhYqN6KDm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Hc/Z8PAePX6KsrBwnByuemtCHN18ezqD+7epzW42Ct7cbYWEb+eyzXzh0KIQDB4JxcWnB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\n8PZuFliZGbAnNI2M+1rl4tJ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twMrcEE9Hcy6k39Ko/k6+Nozo4aKS3t7bWiUtJimfT1YnIEng62KBrYUxeUXa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\nkM6K8HRCAu1p6WSOnaUR126WsfdUDpl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twMrcEE9Hcy6k39Ko/k6+Nozo4aKS3t7bWiUtJimfT1YnIEng62KBrYUxeUXa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\nkM6K8HRCAu1p6WSOnaUR126WsfdUDpl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MELhAoMEIgQsEGowQuECgwQiBCwQaTI3PJqsPPl5/nQuRmUQk5pGWXYyhnjYu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\nD/+G8BtJjW2eEk12s0l9sSc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5FCWyMt5fcqLe7v8gTaIGfxAXKwPa2RtxKSGPtNySavu2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\nPs4AAAAASUVORK5CYII=\n", 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YIXCBQI0RAhcI1BghcIFAjan22WR1wSfrb3IpPJ2w+BxSMgvR19HEqYk+Y3ra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\nrT4cOBpE7+HfYtjsfczdZjJ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(0, 0) a:right s':(1, 0) a':up\n", "----\n", "s:(1, 0) a:up s':(1, 1) a':left\n", "----\n", "s:(1, 1) a:left s':(0, 1) a':up\n", "----\n", "s:(0, 1) a:up s':(0, 2) a':right\n", "----\n", "s:(0, 2) a:right s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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cG3gT8BWJRNcf/Rtaz/USEBCoA2ocg0skEn9q5wdRQECgiSBYsgkIqDCCwAUE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\nw8cTcBUtd0VL/jTZhY9aeF1puq1BqRw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jG99pr7Ytr6++wtrjNwGI+qEPLRyMKuJkMhkHL6Wz72IagZGZJNwpoKCkDFdr\nA4Z3tOGzp9yxN6/b88bSMwrYeTiK/cdiuRyVxs2UXPR0tWjvbcvk8e2ZMqE9Wlrqu6tPSs5hztJA\nDp6MJT2zEEc7Y8YM9mLuu75Ymhsopf/9n0uEXL5N2LVULkelUVAo5fO3evHVB31Vln/sTCKDXv6r\n0vo/eaMH3/yvv9r2qsO23Wc5HhTBxfAbhIUnkpNbyAtP92LTb2/WuKykm3eZ881O/I5cJj0jF0d7\nc8aO7MLcT8ZiaWGsMs/ViJvM++5fjgVFkJ1TgGtzGyaN78HM6aMwNFR8didPW836v4KqtGFQ39Yc\n+ffTGtteFY0q8CUHEujiZsaQdtbYmemRV1TKmegs5u+IYXVAEqfm9cDZWvnhe5iv/40jLDEHEwNt\nmlsZEHErr0Z27AlNZe3xm5gYaJNbWKoUX1RSxsjvQ9HTkdCvlSWD21lRWiYj4Opdlh1MZOvpZE58\n0Q0vB9UPwqPwj18E78w7hKOtMQN7uODsZEbKnXx2Horijdl++J2M5e+lY5CfLFU1MYkZ+E7aTGp6\nPmMGt6ClhzVnL91m2YbzHDwZR+CWF7C2NFTI879vA8jKKcLS3AAnOxNiEjPVsrt/d2f6d3dWCu/T\ntbl6F14Dvlq8m7DwG5gYG9DcyZKI67cfqZyYuFR6j/iK1LRsxozoTCsvR0JC41j62yH8jlwm6MBs\nrK1MFPKcORfDoHHfUlJSytNPdcPZyYqjJ6+x4PtdHDlxlSM7P0FfX7ci/diRXXBzsVFZ/8a/g4mN\nT2PEkA6PZH9VNKrAs1YPwkBPWyl81t/XWbQ7jkW7Y/llSptqy/nxxZY0t9Knhb0Rx69lMGjhObVt\nSMsuZurvV3m2pwPJmUUcj8hQSqOtJeHLZ1rwzhBnLI3v/9HKymS8s+4aq44m8dHmSHZ/1EXteqvD\n282KXb+OZ9QAT4WWeuGHfenxzEa2H4xih38UE4a1rLasafMPkZqez9LZg3nvpa4V4R8uOsqSdeeY\n9dMJVi4YppBny4+jae1pjWszc9btuMyrnx1Qy+7+3Z2Z914fNa+ydvz01fM0d7KkhYc9x4MiGDjm\n20cq552PN5Cals2yRS/w3tQnKsI/nL2Fn349yKyvt7Fy8eSK8NLSMqa89zv5+cXs2jSdp0Z0BqCs\nrIyJr/7C9j3n+OnXg8yc8WRFnrGjujJ21P17X05mVh7f/XwAPT0dJj9X9/etUcfgqsQNMLGHAwDR\nKflqlTOwjRVeDsZqtWYP8+bvVwFY/kqrStPo6mgxa4yHgrgBtLQkzBnnAcCxa8ovhtowqJcrowe1\nUOqGO9ia8OakTvI6Q25UW04+MgafAAAgAElEQVRMYgb+gfG4NTNn2guKL6D57/libKTLpt1Xycsv\nVogb3s8D12bmtbyK+mVg39Z4eTo80t+9nJi4VPwDwnFzsWHa64MV4uZ/OhZjY302/h1MXl5RRfjx\noAiuRd2iX++WFeIG0NLS4rt5EwFYuS4AmUxWbf0btwZTUFDM+Ce7YmNt+sjXURlNcpJtz4U0ANo7\n1/0FP8i6Ezf593wqK19to/Z4/2F0teW3UKcG4+Haoqtzr07t6usMOJMIwBN93JReFqYm+vh2aUZ+\nQQmnwx6te/swMQmZLN8UysKVp1i77RLX4+/WSbn1RUCg/Bz7oQPboaWlKAdTU0N8u3uRn1/M6XMx\nFeFHT8rzDB+kPMfj4WaHt6cDCTfSiY1Pq7b+1RuPAzD15QGPeglV0qhd9HJ+2BdPbqGUrAIp52Oz\nCYzKpIOLCTNHu9dbnQl3CpixMZIXfR0Z09Xukcspn5gb3kH1+KqukUrL2LjrirzOvh7Vpo+MlQvM\n281SZXwLV0v8A+OJirvL4F6utbZv856rbN5zVSFswjBvVn05XOVkXmMTGS1/sXl72quM9/Kwxz8g\nnKiYZAb3b6NeHk97omKSiYpJxtO98mfr1NloLl9NwtvTgYF9W9fmMiqlSQh88f54UrLudxGHd7Dm\njzfbYWv2aK1qdZSVyZi8MhwTA22Wvlx517w6zsZksWBnDKYG2nz5TIs6tLByZi4+TnjUHUb292BY\n3+pfgFm58q6luanqWf7y8MycIpXx6mJrZcSij/ozaoAHbs3MKSySci48mVk/nWD7wSiS0/I4vvn5\nGs38NwRZ2QUAmJsZqYw3N5NPPmZm5dcqjypWrT8GwBsv1+3XhQdpEgK/vWIAAClZRQRHZfLZ1ut0\nmXWaPR91pou7WZ3X95NfAscjMtj7v85K42p1ibqdx1M/XqCkVMaWaR3wtFf9x65Llm04z49rz9LK\nw4oN342q9/pqQlsvG9p63e/FmBjrMbyfB727NKPzmHUEhd5kz9FoxgzxakQrmw5Z2fn8vSuk3ibX\nymlSY3B7c33GdbPn4MyupOcW88pvl+u8jqjbecz+J5rJ/ZwY2cn2kcsYtPAcd3NL2DKtA0/Voouv\nLss3hTLj6yO0aWHN0Q2TsLIwrD4TYG4ib6GzKmmhy8MtKmnha4uZiT7PPSnv2p44V/2kYENT3tpm\nZatubctbawtzo1rleZhNfweTn19/k2vlNIkW/GFcbQxp08yEiwk53MkpxuYRJ8BUcfVmHkUlZaw7\ncYt1J26pTOP9v0AAdszoxFgfRfFeu5nLkEXnSc8t5u/3O9Zq/K4uS9ad48NFR2nnbcPhdc9iZ63+\n9/aWHlYARMWrnuWPTpCHe7tb1d7QSrC1kgsiL7+k3up4VFq2cAQgKiZFZfz1WHm4t6eD+nlilPM8\nTPnk2puvDKiZwTWkSQoc4FaGvGXRruMxm5utAa/2b6Yybv/FNJKzinmmuz2mhjq42SpOCl2+kcMT\ni86TVSBl+/ROjOr8aD2AmvDtqjN8tvg4nVrb4b92IjZWNRsKDOzhAsChwHjKymQKY+Cc3CKCQm9i\nZKhLz46OdWr3g5wJk79IPZwt6q2OR2VgH/nkln9AOGVlZQoz6Tk5BQSFXMfISI+ePp4V4YP6tubr\nH/fgd/Qyn33wpEJ5sfGpRMUk4+psjYeb6ufjzLkYwsJv4O3pwIA+9TO5Vk6jCTzqdh725nqYGymO\ngcvKZHyxLZrU7GJ6e1lUjJFLpGXEpBagqy2p1Xi3k6sZa95oqzJu4FdnSc4q5uuJXgpLVQEuJmTz\nxKLz5BeX8u8HnRjWALPmX64IZu6yQLq2tefg2olVdstLSkqJScxEV1cLT5f7M+aeLpYM7eOGf2A8\nKzaHKix0mftzEHn5JUx9tiPGRrXrJZ27fBuf9soviU27rrB1fwR6utpMHPHoE5q1paRESkxcKrq6\nOgoz257udgwd2A7/gHBWrDmisNBl7rf/kpdXxJuTB2BsfH8I09+3Fa29nTgRHMnuAxcUFrp8Ov9v\nAN6aPLDS7/OrNhwDYOor9Te5Vo5EnY/xNcXHw1x29sueVaZZ4pfA51uv06elBW62hlib6JGSVcSJ\niAxiUwtwMNfj8Oc+tGkmXyIYn1aAxwcncbUxIG5JP4Wy/j2Xyq7zqQAkZxZx8HI6HnaG9G0pf9Ct\nTXX54fnqV3wN/OosxyMylNaiZ+SV4PVRIHdzSxjc1gpfb9Ut0YzhrlioM2nXrVO1SdbvDGfKzP1o\na0t498UuKmfB3ZqZM3m8/FtsfFIWHoN/w7WZGXFH31JI9/BS1Vae1oSE3SbgTCLebpYE/fWi0lLV\nNf+EEXRe/gkwOiGDoNCbdGhpS+c28k9DLT2smDn1/t/YfdBKdLS18GnnQDMHU/ks+uVkQi7dRkdH\ni1VfDquwtTokNtWvXgT4d995/t0fCkByahYHj4bj4WZL357eANhYm/LDgkny+5OYhnvnj3F1tib+\n4mLF+/PQUtXW3k6cOR9LQOA1vD0dCParfqmqSzMrjpy4xrmLcfj28FJaqlpOdnYBTu1mIJWWknT5\np0cef0usJ5+XyWQ+1aVrtBZ8SFsrogc0IygykwvxOWTmSzHW18bbwYgXxzny/jBXrEzUm+G+mJDN\n+pOK4+nY1AJiU+WTHa42BmoJvDKy8qXczZWPH49cucuRK6oXb0zu10w9gatBXJJ87XdpqYyl68+r\nTNO/u7NaovF0seTs9peZuywQv5Nx7D8Ri6OtCe+/3LXSzSZB52+yfme4QtilyDQuRaZV1P2gwN+a\n1Jkjp+IJCr3JnYwCZDIZzexNmTy+HdNf8aFjq7qfq7gYnqi0gSM2Pq1igYmrs3WFwKvC092Oc0fm\nMmfRTvyOXmb/4Us42lsw/c0nKt1s0sPHk7OH5jL32534B4STk1uIq7M1cz4ew8zpo1SKG2DztlPk\n5RUxaXyPep1cK6fRWvD/NGq04P9l1G3B/8uo24I3qc9kAoGgbhECFwg0GCFwgUCDEQIXCDQYIXCB\nQIMRAhcINJjHVuDHrt5F60V/5m2PVhnvPuME7jNOVPxed+ImWi/6s+7ETfZdSMN3/hlMXjuM1dSj\nPLP0IteTa+bHralz7EwiWi2/Y97PgSrj3QetxH3Qyorf63ZcRqvld6zbcZl9x2LwnbQJk04/YdVt\nKc+8/2+Td9zwKBwLvIbEejLzvt2pMt6t00e4dfqo4ve6P08isZ7Muj9Pss//Ir2Hf4Wx81QsPd7h\n6cnLuR6T3FCmq81jK/BHZefZVMYtuUhzSwPeH+pKLy8Ltp9Npde8ECJr6KxRE9npH8W4aTtpbm/K\n+y93pVenZmw/GEWvZzcRGZve2OY1CXbsO8/Yl36muZMl06cOpVe3Fmzfc46ew74k8hEdP9YXTXaz\nSX2x50Iauz/qzJMPbBRZ6pfAB5simbbuGoc/r3btgEazJyCG3SvH8+TA+w4slq4/xwcLjzJt/iEO\nr69+ZZims8fvInv+nMGTw+4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M3xzHyqAUTszripu9+sv3MF9uTSAsOQ8LE32a2JkQeS2/0jzbzqYzbkkYJoZ6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\nuulhruUox8cG+o+W/5GueUv54arog2R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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(1, 0) a:up s':(1, 1) a':up\n", "----\n", "s:(1, 1) a:up s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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gb5fHvQ3lsnX3eU74h3I5OIGg4Hiy797jhQm92PTrzCqXlZh0hwXf7ODgsauk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\nrpF655r2tgr3YiUeXeoDDVb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rGT6z2peGa2tJ/D7Jg4GrrzJxQyjj29vQ1EIfn4gMLiTe\nxdPFjHn9lBfN3twayYHQdGyMdWhsrseSI/Eq1+vvZs4zD9mkD10TjK2JLh0bm+BkoU+RTE7U7TwO\nhWVQJJPzVh8HBnnUjsD3B97ik7/C6NPSEhc7I6xNdUnJKODktTtEp+Rib6HPmlkPrNiS7tyj9ZyT\nODcyJOZXr9Lw9b6JLPwnAm0tiT6trFi5L1blWi62RkzzbqIU9s32KMKS7gJwOUZhELTOJxH/UIVR\njGdLqzq1S1+/M5iFP/mjrS3Rp0sTVm66qJLGpbE508Yq7lFS6l1aj/gTZ0czYo7NUEq382gEu44p\nLPWSbyuMh05fvsH0jw8AYG1pyHcfPlOa/tM3erL3eDTHzsTTavgfDOnTDEMDHQIuJXHuSjKGBjos\n/9i7JpqtlgYj8PLo4WzK2bkdWXQ4jiNh6WTnF+Nsqc/ng5z4yLuJkh06QOz9IeztnCKWHFFv0bQA\nlAS+eIgzh8PTORuXzd7rdyiWybEz1WN0Wyte7WGv1tCmphjY3obI5Fz8Q+5wKSaLjJwijA208XAw\n5sX+zZkzwqVSPXFMisKGoFgmZ8XeWLVp+rexUhH4oUu3OHFN2cItICydgLD00t91KfCYRIXxU3Gx\nnBUbAtWm6d+tSanAy+NyaCrrd15TCotOyCQ6QXENZ0czJYE3tjMlcNtUlv12jv0nolm3IxiZXI6D\njTHTxrbhw9e609LVmtpCetiEs7ro6mQqPzevY7WXqylIrnX7WbDe06p1Xdeg3qPV6rtAuVzetcJ0\ntVEZgUBQNwiBCwQajBC4QKDBCIELBBqMELhAoMEIgQsEGowQuECgwTRYgR+PzED7fT8WH4pTG+/6\n1Xlcvzpf+nvd+RS03/dj3fkU9l2/Q5+fgjD9OADrz0/z3PqQMjerNFSOB6ehNW4/i/4JVxvfbKYv\nzWb6lv5e55OI1rj9rPNJZN+FVDw/DsBkyiGsph7muW8vEnGjYhdQDY3j5+LRavUdi1b5q41vNmAN\nzQasKf29bkcwWq2+Y92OYPYdj8Jzyt+YdF6OVY+feG7uLiJi09WWU5c0WIE/LjuupjFuXQiNzfWZ\n09eRns5mbL+aRu+fgghLrT1fWfWVHWeSGbsskCbWBswZ4UKvFpZsO5NMr/kBpeapTzs7jkQw9u1d\nNLE3Yc7ULvTq4Mi2wxH0mvwXYTHle12tbTTCVLUq7L1+h12vtGZka6vSsJWnknhnVwxvbY/iyBvt\n6rB2dc+eC6ns/qQLI7s+2O23Ym8M7/wRwuw11zi6uEcd1q5+sMc3it2/jGWkl1tp2IoNgbyz1JfZ\nXxzl6J8T67B2yjx1Pbh3c3MlcQPM9nTEzdoAn8hM4u7ULx/ftY13O2slcQO8NcwFN3sjfK6mEZeq\nWVOZx8G7Z1MlcQO89UIn3Jpa4HMmnrikzDqqmSpPncDVOVPU1pLwbKawD7+kgXPNqtCvjZVKmLa2\nRJ/7W2EvxdSfh7eu6Ne1iUqYtrYWfTordi1eCkmt7SqVyVMncFtT9Z5P7e/vvsrMU+/66WnBrgxn\njXb3Pbxk5j7d9wfAzka9V5iS8My7+bVZnXJpsALXuu/AoUimPj6jDKGmZheqDU/OVnjaMDfUjGWJ\nB/dH/W7BjBz19yElU/3DmZKhCDcvw9tsQ6T0HhWVcY+yy7gXt9WP8krCzU3qj7urBivwErfGCRmq\nf4TI23ml7pQf5WS06hCzWCbH/77jgk6ONeuzq7awNFHcn0Q154ZF3swpsyc+eU11Fbi4WI5fiOIT\nUKdmtXdwXk1jaa7wDJSYnKUSFxmXTmYZAj95IVElrLhYht9FxZFbnVrVjQttdTRYgbe0NcTMQJvd\n19JIzX7gFzyvsJi5O6PLzOcTmcne68oP8c/+N4hKu4eXmznO9fhInqrQsrEJZkY67DqXQupDL8G8\n/GLm/n69zHw+V9PYeyFFKWzVgViiknPxamuNcz04vaW6aNnMCjMTPXb5RJGa9qBXzrtXyNyvyvZ8\n6nMmnr2+UUphq/66RFR8Bl49nGr19NCKaLDjLV1tLeb0ceTLowl0+fEyY9paUySTczQiA0czPRzL\ncBw4srUV49eFMKatNc1tDLh8I4eDoelYGemwaryb2jwNEV0dLeaMcOHL/yLp/L4fY3rYU1Qs42hQ\nGo5W+jhaqR9Gjupqy7hlFxnbww43e2OCYrM4cPEWVia6/DyjTS23ombR1dVmztTOfPm/M3Qet5Ex\nA5tTVCznaEAsjrYmONqqnl8HMMrLjXFzdjF2YHPcmloSFJLKgVMxWJkb8POCgbXcivJpsD04wKIh\nTfl6uDMGulqsPZvMgdB0xrWz5sDrbdAtw8Pp2HbWbJvWisTMfFaeusHp2CzGtrPG/+0OtLStea+b\ntcniye58/WILDHS1WXskngMXbzGulz0HF3RHt4yzucb2tGf7R51JuH2PlftiCQhNZ1xPOwK+6UXL\nJuof+IbM4rc9+frdvhjoa7P2vyscOBnNuEEeHFw7ofQcs0cZO8id7StHk3Azm5UbAwm4fINxg9wJ\n2Px8rbpjqgwNtgcHxbiIMMUAAAK9SURBVDExH3k7KR0NXEL0p93KzDeytZXKt3BNRJIk5o9zY/44\n1ZHJw84XH2VkVzuVb+GaiiRJzH+9B/NfVzXgedQB48OM9HJT+RZeH2nQPbhAICgfIXCBQIMRAhcI\nNBjhNrkOEG6TK0C4Ta4Q4TZZIBAIgQsEmowQuECgwVRK4JIkDZUkKUySpEhJkubXdKUEAkH1UKHA\nJUnSBn4GhgGtgSmSJIlVEIGgAVCZHrw7ECmXy6PlcnkB8A8wumarJRAIqoPKCLwx8PAZu4n3wwQC\nQT2n2mzRJUmaAZQY7+Zrv+8XXF1layA2wO26rkT9ZT+Ie1QRzpVJVBmBJwEP7+Zocj9MCblcvgZY\nAyBJ0oXKfIR/WhH3p2LEPaoeKjNEPw+4S5LUTJIkPWAysLtmqyUQCKqDCntwuVxeJEnSW8AhQBv4\nQy6XX6vxmgkEgiemUnNwuVy+n/sTo0qypuIkTzXi/lSMuEfVQI1sNhEIBPUDYaoqEGgw1SpwYdJa\nPpIk/SFJUqokSeITohokSXKSJMlXkqTrkiRdkyRpbl3XqaFTbUP0+yat4cAgFMYw54Epcrm8bB+9\nTxmSJPUD7gIb5HJ527quT31DkiQHwEEul1+UJMkUCATGiGfo8anOHlyYtFaAXC4/CdSv82XrEXK5\n/KZcLr94///ZQAjCavKJqE6BC5NWQbUhSZIL0Ak4W7c1adiIRTZBvUOSJBNgGzBPLperniskqDTV\nKfBKmbQKBOUhSZIuCnH/JZfLt9d1fRo61SlwYdIqeCIkSZKA34EQuVz+Q13XRxOoNoHL5fIioMSk\nNQTYIkxalZEkaTNwGmghSVKiJEmv1nWd6hmewFTAW5Kky/f/Da/rSjVkhCWbQKDBiEU2gUCDEQIX\nCDQYIXCBQIMRAhcINBghcIFAgxECFwg0GCFwgUCDEQIXCDSY/wdtYKf0fcAngwAAAABJRU5ErkJg\ngg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(1, 0) a:up s':(1, 1) a':up\n", "----\n", "s:(1, 1) a:up s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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NDdZmhmTklbIjIovxX51h8oDmrJrV5b7vxd38syeG1+fvx6WZOQG9WuLmakXm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\nc7K55cWkGi8vjwpODpr3m1e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orZXNkuOUUwqFwq+24xp0DK5J3ABP9nMFIP5KsVb1BHR2pI2bpdZd5PVHM7la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\nPlppU2DejP588c5AzEyNWLY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9PhFxmUEv/EOprIzxQ1vT3MmSoOMpLPg5jMBjyRxcPRFjozs/n9GDvXBrZqXx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\n/Y4XW/r1m7SbcQS3JqYkLh+o0tbWExl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9PhFxmUEv/EOprIzxQ1vT3MmSoOMpLPg5jMBjyRxcPRFjozs/n9GDvXBrZqXx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\n/Y4XW/r1m7SbcQS3JqYkLh+o0tbWExl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FxTIW/XwKz+F/YNJ9BR7D/2D+8mCKimXodVqG74zNFZ5z88Fr9Hrmb8yf+Ak7n5U88/4+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\nSXpGAWMHt6KNhx1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jfkVBE9Nu5mpMT01X9v7KQjo1BBqtwG2aKIWYfEs9smf0jfwKW+Lj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\n2cUcv5JJbFoBTtbGrHrj3nJLSuYd2s8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kZuEz5S/SMwoZM6gVbTxsOXPxOsv+PMv+43EEbngWW2vV+3wq9BqDXviXUlkZ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\n", 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kZuEz5S/SMwoZM6gVbTxsOXPxOsv+PMv+43EEbngWW2vV+3wq9BqDXviXUlkZ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\n+I9z+HRxxPAuX4YFq0KQlcl5rH0zzE0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(0, 0) a:right s':(1, 0) a':up\n", "----\n", "s:(1, 0) a:up s':(1, 1) a':up\n", "----\n", "s:(1, 1) a:up s':(1, 2) a':up\n", "----\n", "s:(1, 2) a:up s':(1, 2) a':left\n", "----\n", "s:(1, 2) a:left s':(0, 2) a':right\n", "----\n", "s:(0, 2) a:right s':(0, 2) a':right\n", "----\n", "s:(0, 2) a:right s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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/eot5y3xwtDVmSE9nXBxNSUrNY/eJcF5ZfILDvjH8s3JMjV44X6y9QGDoXUyM\ndHG2NyEkqqjaMjl5RUycvw/v83F0bWvL8xPaYaCnTUJyLmcC4gmLSa8XgX++8l8Cg2MxMTbA2cmS\nkFt3HqmeiKhk+o3+nOSULCaM7kbb1o5cCIhi1a/HOHwiCL9Dn2BtZaJQ5vylCIZOWkFxcSlTn+yJ\ni5MV3mdu8tn/7eXE6Ruc2P0B+vq6Cuf4c8dZevdoycQx3bGyMCE1PYdDx6/x4vzf2fyPP0d3voeO\njvZj3ZOHaVCBZ/41EgM95Qv6eEsIy3dEsHxnOD+/2qnaer59qR3O1oa0cjTiVHAaQz89V2X+rLxi\n5vwchLaWhM/nffBsZQHAsmc8GPbpOXb4J7LtTAJPD3CqKDNjoBOzhrmorKvvB/5sPhnP62Pc6OVh\nUa29j4uHqyV7fxjP2IEtFFrqLxf0o/eMbew8Fs6u4+FMeaJ1tXV9+8FAnO1NaNXcglOX4hn64s5q\ny7y61Bvv83H88ulQ5k5T/vsUF5fW7oIeke8+fwZnJ0tatbTnlF8IQyaseKR65r2/ieSULFYvn8mb\nc56oSH/nk61898sRPv5iB2tWzqpILy0tY/abv5OXV8TeLQt4crS8p1hWVsa0F39m575LfPfLERa+\nNa6iTL9erUmP/AktLcVRcXFxCSOmfoOP70127b/MtIm9HukaKqNBx+CqxA0wzUsurPA7eTWqZ0gn\nG1o7Gde4i7zDP5GUzCKeHuBYIe5ye5bNbAPAmsMxCmX0dVXbamaky4hutgDcupNbo/M/LkN7uzB+\ncEulbriDjXGF4E5ejK9RXUN6udDa1bLG9y7gRjJ/HQxl+igPleIG0K3kXtU1Qwa0o7X74w2NIqKS\nOeoTjFtzG15/eZjCsaUfTsTYWJ/N//iTm1tYkX7KL4SbYQkM7NemQtwAWlpafL1kGgBrNvggk93/\nULSeno6SuAF0dXWYOKY7ALciEh/5OiqjUU6y7buYBEAnV1O11O8TdBeAkfeE+SADO1hhpK+Nf0g6\nhTVoifIKSyvqU5e9tUH3XhdPR1s98wF/HQwF4OnRHmRmF7JlXwjLf7vI2u1BhN/OUMs51YmP700A\nRgzpqCRAU1NDvHq1Ji+viHOXIirSvc/Iy4waqvyCa+lmh4e7AzGxqURGp1R7/tLSMg4euwZA5w7K\nPcTHpUG76OV8syeCnPxSMvNKuByege/NdDq7mbJwirtazhcaL29pPZxMlI7paGvRwt6Q67dziEzM\no52LomjD7+Sy5WQ8pWUykjIKOXg5mYS0QhZOcaezm5la7K0pJSVlbP733sPX300t57gULH/5xtzJ\nptWYDaRmFFQckyR4dVpnVn+DQQiZAAAgAElEQVQ0CG3tRtl2KBEaLh+3e7jbqzzeuqU9R32CCYtI\nZNig9jUr425PWEQiYRGJuLewUzh2NzWbH387jkwGKXezOXbqOuGRSTwztQ/jR1U9KfwoNAqBr9wT\nRVLG/S7QqO62/DG/C7bm+mo5X2aefBLO3Fj15ZsbySdHMnKVJ+vC7+Ty2d+3Kn7r6Wjx9ay2vDuh\npRosrR0Lv/cjODyVMQPcGOnlqpZzJKfJh03v/t9pJg51Z9kbfXF2MOH8tUReW+bNL39fw9bKkCXz\n+qjl/HVNZlY+AOZmRiqPm5vJJ3kzMvMeq0w5d1OzWfr13orfkiTx3huj+PKTqY9gffU0itfsnQ3D\nKdszljsbhrNzYQ8iE/Po/vYZAiIyG9o0JUZ1t6Nsz1gKd4zm1i+D+d9Trfh4SygTvrhEUXFZg9m1\n+s+rfLsxgLYtLNm0fKTazlN2b1zZtoUV2/5vNG1bWmFipMewPs3Z/u1YtLQkvtt0haJ6mmhrarT1\ncEKWuoGS5PXEBK7kuy9msHbjKQaOW05aek6dn69RCLwcewt9JvVx4MiSXqRmF/PCqqtqOY+5kbzl\nzlTRQgNk5hUDYFFJCw+gq6OFu6Mxi6a3ZukMD/ZfSmb1gai6N7YG/PhXIG99dYr27lZ4r5+ClbmB\n2s5lYSrvVY0b1EKpG96ljS0tmpmRnVvEzcg0tdlQl5S3tplZqid0y1trC3OjxyrzMNraWjR3tmbB\n3BH8+u0LnLsUwaLlu2t/AdXQqARejqudEe1dTLh+O4e7WdWvy9aWNs3kjgthCcpvzJLSMqKS8tHR\nlmjpUPkf6EFGd5ePs04F1/9D/f3mK8xffpKOrazx/n0KDjaqnTLqijb31rfLhf4wlmby9PyC6n0R\nGgNtWjkCEBaRpPL4rUh5uoe7Q83LRCiXqYrRwzsDcNIvpEb5a0OjFDhAQpp88ka7hh5ZtWFIJxsA\njlxRnuU8fT2NvMJS+rW1rHRp7GHiU+W26qjB1qpY8fsl3vn6NF3b2uK9fgp21jV7IT0Ow/o0B+B6\neKrSscKiEm7dm0l3a9awE441ZUj/dgAc9QmmrExxiJWdnY/fhVsYGenRx/P+hO/QAfIyh72DlOqL\njE4mLCIRVxdrWropr9KoIj4hHQAdnbqXY4MJPCw+h8zcYqX0sjIZH28JITmziH5tLbE0kU94FZeU\nERKXQ0QdrDVP7eeAjZke287c4VL4/aWdgqJSPv1Tvgz06ijFSaoH8z1ISmYhH22Wv3nHeNqpzKMO\nlq05z0ff+9GjvR3Hf5uMjWXlHn/FxaWERKYREfv4y1hThrfCyc6Yvw+HcSFIcd122ZoLZGYXMaSX\ns9p7ErWluLiEkLAEIqKSFdLdW9gxYkhHom/f5affTigcW7xiD7m5hTw3rR/Gxvd7LIO82tLOw4nT\n/qH8e+hKRXpZWRkfLv0HgFdnDVFYnw8IjKa0VHmOJiengAX/+wuAsU90efwLfQjpwcX4usKzlYXs\n4sr+Veb5/t8o/rclhP7trHCzM8TaTI+kjEJOB6cRmZSHg6U+xz/rTft7y1TRSXm0nOuDq60hUeuG\nKtS151wie8/Lu0WJGYUcuZJCS3sjBrS3AsDaTJdvZrdXKvPU13JX1en9nbAy0WXfxSRC43OZ2s+B\nv9/vrvAH6vbWGVKzi+jV2gIXW0O0tSAmOZ+Dl5PJLypjYm97tn/QQ8mHXSXurarPUwUb995g9ifH\n0NaWeGNGF8xVdJfdnMyYNVF+zdHxWbQc9QeuTqZEHXlR8T6ciGCvt3yNNzE1jyN+MbR0NmdAd7mz\nkbWlId+8N0ChzDH/GMa/sQ+AycPdcbIz4UJQIr4BCdhZGXJm01O0dn10V1XJqWbLRXsOXGbPwQC5\n7cmZHPEOpqWbLQP6eABgY23KN589DUD07RRadHsfVxdroq+uVKjnYVfVdh5OnL8ciY/vTTzcHfA/\nXL2ravNmVpw4fZNLV6Pw6t1ayVV14rOr8LsQTr+erWjubIWRoT6xCWkcOn6NjMw8+vVqxZHt72Fi\nUrP5E8l61mWZTOZZXb4GWyYb3sWG8EQX/G6kcyUyk4zcEowNtPFwMubZwa2ZP84NK9OabTa5GpXF\nRp84hbTIpDwik+STIK62hkoCn9jHgZNf9OHL7eHsOnuHguIyWjkYs/LFdswf20LJO+rdiS3Yez6J\ngMhMjlxNoaikDBtTPYZ2tuHZwc2Y5uVYb5tNouKzACgtlbFqi+qJyEGezSoEXhVXQ1PYeG/tvJzI\nuEwi4+QrGK5OpkoCf6KfK+e3TufzXy9w/FwsmdmFONgYMXdaJz6d2wsnO2X/AnVwNfg2G7f5Kdoe\nnVLhYOLqYl0h8Kpwb2HHpROLWbR8N4e9gzh4/BqO9hYsmPtEpZtNenu6c/HYYhav2M1Rn2Cycwpw\ndbFm0fsTWLhgrIK4AV55fhAmxgZcuBLJSb8Q8vKLsLQwokcXN6ZN7MWLMwfUuR86NGAL/p/mMVtw\nTaemLfh/mZq24I12kk0gEDw+QuACgQYjBC4QaDBC4AKBBiMELhBoMELgAoEG02QFfjIoFa2JB1iy\nNUzl8RaveNPiFe+K3xtOxKI18QAbTsRy4FISXh/6YTL9MFYzj/DUisvcSqifaCz1xcmLcWh1WsWS\nn1WHr2oxcj0tRq6v+L1hzw20Oq1iw54bHDgdhdez/2DS6yes+q3hqXcOcCsmvb5MrzdO+t5Esp7F\nkhWqN3m4dX0Xt67vVvze8NcZJOtZbPjrDAeOXqXfqM8xdpmDZct5TJ31o1oisjwuTVbgj8ruc4lM\nWn4ZZ2tD5o9zo28bS3aeTaTvh36Extf9dr2mxu4T4UxasB9nexPmz+xK3y4O7DwWTt+Z/xAapXki\nfxR2HbjMxOd+wNnJkgVzRtC3Zyt27rtEn5HLCH3EwI/qolEEfKhP9l1M5t+PPRnX8340jlX7onj7\n9xu8viaY48uaRqACdbHvZBT//jiecYPuB7BYteUKb684zetfeHP8tykNaF3jYN/hq+z76y3Gjbwf\nRXfVr0d5639/Me/9TZzY82EDWqfIf64FH9rJWkHcAG+MccPdwQjvoFRikmsW6FFTGdrbWUHcAG/M\n6IK7izne5+OISchqIMsaD0MHtFMQN8AbLw/HvYUd3mduEhN7t4EsU+Y/J/CBHa2V0rS1Jfq3k29M\nuRL5336AB/ZwVkrT1taifzf55pMrN6sPJKjpDPJqq5Smra1F/97yMNVXrsUoHW8o/nMCt7dQvYHF\n3lK+I6s8Xtt/FftK9pTb28jTM3MKVR7/L2Fvq3qvu4OdOXA/oktjoMkKvDzCbUmZ6s0yGSr2mgMk\nZaiOEJOULn9wy8M5NXW07u1sKylRHScuI1u1UJNSVQ9Rku7K081N1BMIsyEoD5Nc6T1SETQRIClF\ndS8vMVm+A688pFNjoMkK3NJYvh0v7q7y2zL8Tm6lLfHpYOVIJKWlMnxvysMtdWvZNCKRVEd56KS4\nJOWVgfDbGWRmq37Rnb4cp5RWWlqG75UEALq1q1mUkqaApYW8VxIbrxxqKzwyqdKW+JSK0EqlpWX4\nnpdH2+3WWT0RbR+FJivwts4mmBnpsPd8EskPhFzOLyxlwbrrlZbzDkpl/0XFWFo/HowmIjGPIZ2s\ncbVTf9ij+qBtC0vMTPTY6xNB8gOtcn5BCQuWn6y0nPf5OPafilRI+3FrIBGxmQzp5Yyrk2a8AAHa\ntnbEzNSQvYcCSH6gVc7PL2L+R39WWs77zE32H1Hch//jb8eJiEpmSP92uLrYqM3m2tJk+6O6OlrM\nH+fG5/+E0/2dM0zs40BJqYzjV+/iZKWPk5XqruT4nnZM/uoyk3o74O5oRGBUFocCUrAy1eWnuR3r\n+SrUh66uNvNnduXzXy/QfdpfTBzqTklpGcfPxuJkZ4yTneqQSuMHt2DyWweYNNQd9+bmBIakcMg3\nBitzA376eEg9X4V60dXVYcHcJ1j2zb90G7yISWN7UFJayrGT13FysMTJQfV35saP6sqk539g0tju\ntGphz9Xg2xw6fg0rS2N+/r/n6vkqqqbJtuAAS2d48OVzbTDQ1Wbd0dscupzM5L4OHF7SG91Kvqwx\nqY8Duxb2IDY1n9X7o/EPSWdyHwf8v+pHW+f6iURSXyx9vQ9fLuiHgZ4O63YEc+hMNJOfaMXhNRPR\nrSTA36Rhrdj1/VhiE7NZ/edV/APvMHm4O/5bptG2pVU9X4H6WbpwEss/nYqBgS5rN53k4LFrTBnv\nyZHt71b6jbXJY3uwe9ObxMansWrtUfwv3GLyuB6cPfwpbT2cVJZpKJpsCw7yr0IsnNKKhVOUI6Q8\nHLftQcb1tFdaC9dEJEli4cs9WfhyT6VjD8dme5Bxg1oqrYVrKpIksfCtcQpfAi3n4dhtDzJuZFel\ntfDGSJNuwQUCQdUIgQsEGowQuECgwYioqg2BiKpaJSKqavWIqKoCgUAIXCDQZITABQINRghcINBg\nqhW4JEnrJUlKliQpuD4MEggEdUdNWvANwCg12yEQCNRAtQKXyWSnAeX9dAKBoNFTZ2NwSZLmSJJ0\nSZKkSylZqvcaCwSC+qXONpvIZLK1wFoATxdTmSw8s66q1jikslsNbUKjRpb33w58WZeIWXSBQIMR\nAhcINJiaLJNtBc4CbSRJipMk6SX1myUQCOqCasfgMplsRn0YIhAI6h7RRRcINBghcIFAgxECFwg0\nGCFwgUCDEQIXCDQYIXCBQIMRAhcINBghcIFAgxECFwg0GCFwgUCDEQIXCDQYIXCBQIMRAhcINBgh\ncIFAgxECFwg0GCFwgUCDEQIXCDQYIXCBQIMRAhcINBghcIFAgxECFwg0GCFwgUCDqbNPF9UFWy4n\n88LWMAB+faoVL/d2qHHZG4l5LD16m1MRmWQVluBqacD0rjZ8ONQZQ11tlWX8o7P44ngs52OyyS8u\no7WtAbN72vNGfye0tSSl/FkFJfzkd4ftgXeJTitABjS30GdCR2ve7O+ErYnuI113ZXy4KYTLEZmE\nJeRyN7sIQz1tXG0NmdDLnjfGuGJtqlfjuuLu5rNo2y2OXEkhNbsYR0t9JvSyZ/H01liqsFtr8sFK\n6+rd2oKzK/oppSdlFPL59nAOXE4mIa0QMyMd+re15JOnWtHd3bzGtj4uqZkF7D4ZzUG/2wRFpBOf\nkouejhad3K2YNd6D2ePaoKXi76uKHSciOXXlDoFhqQTeSiM7r5iZo1qxeemQSssUFpXy294QNh28\nRWR8FgVFpbjYmzC8VzPefaYTro6mdXWp1dJoBB6bUcj83RGY6GuTU1haq7LnY7IZviaI4jIZUzrb\n4GKuh094JsuOxeJ9K5Njr3ZEX0exs7I3OJWnNt3EQEeLaV1tsTLUYf+NNN75Nwq/6Cz+eb6dQv7M\n/BL6rA4kLCUfT2cTZvW0B+BMZCZfHI9l48UkLrzVFftaiK46vt8fRfcW5gzvYoOduR65BaWcD8tg\n6d+3WHfsNme/6oeLjWG19UQk5uL10VmSM4uY0MueNs2MuXgrk9UHojlyNQXfL/uqfFm42hrywpBm\nSunO1srnjE7Ow+ujs9xJL6RXa3Mm9XbgblYRu84nciAgmX8/8mRkN9tHuxG1ZPuJSOat8MPRxogh\nPRxxsW9BUlo+u09G88oXZzjsH8c/y4chSdWL/Is/rhB4Kw0TI12c7YwJic6oMn9JSRnDXz+A37Uk\n2rpZ8PQId/R1tbl0M4Uf/7nO5oO38Fv3JO1bWtbV5VZJoxC4TCbjpb/DsDbWZVJHa1aeiq9x2dIy\nedm84jJ2z27Hkx2sASgrkzF9cwi7glL5/nQ8Hw51qSiTVVDC3O3haEsS3q91wtNF/kb9bJQrw9cE\nsfNaKtuupPD0Aw/kunOJhKXkM6unHb9P91CwYfa2MDZdSmbt2UQ+HdH8cW6FAplbRmCgp9z7+PjP\nUJbvjGD5zgh+ntux2npeX3ud5MwiVr3UnjfHulWkv/PHDb7fF83Hf4ay5tVOSuXc7AxZ8rSHUroq\n3vr9BnfSC3lzrBvfv9iuQjwfJ7jT831/XvzxGmE/DcLYQP2PnEdzc/Z+M4KxXs0VWuov5/Wk9+w9\n7PSJYpdPNFOGtqi2rm/f6ouznTGtXMw4FXCHofMOVJl/96lo/K4lMaynE0dWj1E4/+K1l1n2ewDf\n/HmN9Z8OevQLrAWNYgz+g28C3uGZ/D6tNcZ6tTPpVEQmN5PzGdjSrELcAFpaEivGyf+Av55NRCaT\nVRzbce0uKbnFTO9qWyFuAANdLT4b5XqvzB2F80SmFQAwrr2Vkg3jO8jTUnKLa2V7dagSN8C0fo4A\nhN/JrbaOiMRcjl69i5udIa+PdlU4tvRpD4wNtNlyKoHcgpJHtrOgqJRDV1LQ0oLPn/FQaBk9nEyY\nPdSZO+mF7Dyb+MjnqA1DPZsxfoCrUjfcwdqIuZPlPbOTAQk1qmuIpxOtm5vXqLUHiIzPAmDMQy8X\ngAkD5ff/bkZBjeqqCxpc4DeT8vjoQAzz+zsx8BHGaT73PlM8so1yl6eltQEetobEpBcSmVqgXKat\ncpmBLc0x0tXCPzqbwpKyivQO9kYAHLyZrlTmwI00AIa1tqi1/Y/CvkvJAHRyNas2r0+Q3LYnutgo\nPXCmhjp4tbUkr7CUc2HKXc+M3GLWn4jlyx3h/HQomnOhytcOkJZTTHGJDBtTPUwNlVvolg7ye+cd\nlFqtvepGV1v+yOtoq+fR73Cv633YP5ayMpnCsf2+twEY1lN52KMuGrSLXlIq44WtYTS31OeLMa7V\nF1BBaIr8W9KtbVWPRVvZGBCWkk9YSj7u98arYcn5AHioKKOjLdHCyoDrSXlEphbQ7p6wX+rtwLar\nKay/kETwnVz6tZCLyzcyixtJeXw+2pUJHa2V6qsLvtkTSU5BCZl5JVyOyMT3ZjqdXU1ZOLlltWVD\nE3IA8HAyVnm8laMxR6/eJSwhl2GdbRSOBUZn8/JPQQppXdxM2bSgi8LLxdJYF20tibvZReTkl2Dy\nkMgjE+V/o9D46nsc6qSkpIzNh+TfZh/V11kt5xjr1ZzJg93YdTKazs/sYFjPZujpahMQkoJvYBJv\nTOvA61Pbq+XcqmhQgS87dpsr8Tmcfr1zpTPd1ZFZIJ+QM69kbFeenlFQ+kCZknvHVJ/T3FCenpF/\nv9tqoKvF8Vc78daeSNaeS+RCbE7FsSmdrZnQQT3iBlj5byRJGUUVv0d1s+WPNztja65fbdnMvHvX\naqR6ht/c6N79eWh48fb4Fkzp64CHkzEGulqExOfw9e5IdpxNZNjiC1xZ2Z9m1gYAGOprM6SjFcev\npbJoWxjfzr7/AIffyeUP7zgA0ut4CFNbFv50geCIdMb0c2FkH5fqCzwCkiSx/avhLP0tgC/+uMKN\nqPs9o2E9nXhmhDs6OvXXcW6wLvr5mGyWe8fyzqBm9HWrvqvZ0KTmFjN6bTB7r6fy17NtSF7am+Sl\nvfnr2Tb4RmXR94dALtzOVsu576wfTtmuMdxZP4ydH3QnMimP7u/6EhCRqZbzAayc3Y5+bS2xMdPD\nxFAHz1YW/PN+d6b0kc+Of7M3UiH/dy+2x9xIh+/3RdNvoT/vbbjJrNWBdHvXF/d7XfQarkyphdV/\nB/PtX0G0dbNg05LBajtPQWEJT398gm//CuLH97xIODiTjBMvcOC7UcTcyWHQq/vZeypabed/mAYR\neEmpjFnbwvCwMayY1HpUylvhzEomicrTLR5orctb9cwC1ctxmfnydIsHuprv7YviVGQWa6a2YnpX\nW6yNdbE21mV6V1t+mdKKnMJSFu6PeqxrqQ57C30m9XHgyKJepGYX88LqwGrLlLfQmXmqW8/yFt7C\nuGZr+HNHylcJztybdyinQ3NTLn3jxfODmxGTks8PB6M5dT2Nt8a1YPXL8hbdrgY9DnXw4/brvPXt\nWdq3sMD757FYmRuo7VxfbQpk+4koPn/Vk7mT2+FgbYSZiR6j+7mwfflwikvKeOu7s2o7/8M0SBc9\np6iUsBT5ONhoob/KPHO3hzN3ezjzBzjx3YTKx5ptbI2AVG7dq+9hwu/KJ9ceHG972BlyKS6HsJR8\nejibKOQvKZURlVaAjpZES+v7D0L5RNoQFROBQ1rJ0y7X0xjT1c6Q9i4mXI3K4m5WETZmla+9t3GS\nX19YgmrbymfiKxujP4ztvXPlqvBVcHcwZsP8Lkrp60/EAuDZqv6cXcr5fmsQ73x/jo7ulhz/cSx2\nVtX7DTwOB+5NpA3p4aR0rIuHNZZm+sTcySE1swBrNb5oymkQgevrSLzYy17lsSvxOVyJz6V/CzM8\nbA3p41q118+QVuZ8eSKWI6HpLBymOK6KTC0gLCUfV0t9BbEOaWXOXwEpHAlJZ8ZDzhenIzPJKy5j\nYEszBeeYwlL5jGhKbgmmD433U3LkraO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/eot5y3xwtDVmSE9nXBxNSUrNY/eJcF5ZfILDvjH8s3JMjV44X6y9QGDoXUyM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\nYEszBeeYwlL5jGhKbgmmD433U3LkraO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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(0, 0) a:right s':(1, 0) a':up\n", "----\n", "s:(1, 0) a:up s':(1, 1) a':up\n", "----\n", "s:(1, 1) a:up s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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u55czY2h7Ns/vXf/FAejStWHlVLB2exhzPzuOnbUhPp6OONqZkJ5VxO7j0eQV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\nu4UsU+Y/J/Ah3S2U0jQ1JQz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x2VG8/4nmzx9G1ehhExmXieeLf5CSls/owa60cbHgwpUkVm0J4sjpaE5vm4yl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\nKN+O261d/X1Hq6ExN5OPSm4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x2VG8/4nmzx9G1ehhExmXieeLf5CSls/owa60cbHgwpUkVm0J4sjpaE5vm4yl\nmeL1f/H9g/zpHY6DrRFjn2qNsaEOV8PvsGnfNX4/GMqhteMY3LtFfZ2+Ap9/9zchV29hZKiHg705\noTdv17qNv/ad563/bMbOxgyv/m1p0dyS5NRsdh8I5PV5Gzh8/Ap/bZit8np26ejImBHdldI7tnNQ\nSgu8FM2nX+5GkiRaOllhaqJPZlZ+re2tLY0q8Kytw9DT0VRK/2RbGMt3RbJ8VyQ/z+xYbTvfT2+P\ng6UerewM8LuWzuCFVX/dODu/hBk/X0FTQ8JnaS/cW5kBsGyyG0MWnWPnmSS2n07khX72FXUm97dj\n2mDlP1x2fgl9Fpxhi18Cs0c44dHarFp7HwU3Z3P2/TSGkQNdFHrqL+fn0ev5bew6epPdx24yfphb\ntW3NXnaclLR8Vn7sxdsv3b9R3/3alxWbLvLJitOsWfxURfqFK0n86R1Oh1aWnNvxIgb62hV5G3Zf\n5bVPj/DF2rMNJvAfPp+Cg705rVxs8PMPxWv017Vuw83Vlr+3zWPksC4KPfWXn47H46ml7NofyO79\ngYx/rqdS3a4dW7D4w7E1Oo5715acOvARXTq0wMREn0HPLcfPP6zW9taWRp2DqxI3wKS+dgBE3M6r\nUTtenSxpbW9Y4yHyzjNJpGYX80I/uwpx37Nn2RS5MNZ4xynU0dVWbauJgTbDusqHpTcTa2bvozC4\ndwtGebkqDcNtrQ2Z+bx8BOF7/la17UTGZXLUPxbn5ibMntJNIW/JnL4Y6muzdf918vJLKtKj4jMr\nbHhQ3ACjB7sCkJpeUPuTeki8+rejtavtI02NBg9oz6jh3ZSG4bY2Zrw5zQsAX//QR7ITwKG5Bf37\ntMHEpPoRaV3SJD9UvT8wBYBOTib10r7PlTQAnu5mrZQ3oL0FBrqaBIRlUFRSVqmw75FfVFbRXicn\n47o3thZoa8lvUi2t6p/bPuflD7Cn+jorPSyMDXXw7G7PUf9YzoYkMqSPEwAdWskfZD7nblFQWIK+\n3n2RH/CLAmBIn4bpvRsC7bt/ey0t1fdAYlImazf6kJaei6WFEX16tqJzB8eGNLFamoTAv90bRW5h\nKVn5pVyMzOL0jQw6OxmzYJxLvRwvLEHe07rZK39oXktTg5bN9Ll2K5eo5ALaORgp5EfczmOrXwJl\n5ZCcVcShiykkphexYJwrnZ3r54FUE0pLy9ny93UAhvdrWW35sOgMQD7kV0UrJ3OO+scSHptRIfCO\nra2Y/0oPVmy6SLuRGxg5yAVjQx2uR6ThfTqGF0a04fO5/erojBqX0tIyNu8IAGD4kE4qyxzzvcYx\n32sKaYP6tWXTT2/QwsGy3m1RmstMAAAgAElEQVSsCU1C4N/9HUVyZnHF7+HdrNnwdmesTXXr5XhZ\nd4edpgaqT9/UQN4zZeaVKOVF3M5n6Z8RFb91tDT45uW2vDe6elHVJwu+P8XVm3cYMaAlT/dzrrZ8\nVm4RAKaVvKkwNZJf+8zsIoX07z8cRBtnc9792pf//RFSkd6jgw0vj+6AoYHi0P1xZcHSv7h6I54R\nT3Xm6cGKAjfQ1+Wz/zzHmBHdcXGWjwIvX4tn8dd78Tl9gyFjv+GS71IMDevn/q0NTeI9+O3fhlK+\newS3fxvCrg+6E5WcT/f3ThMUmdXYpikxvLs15btHUPTncG7+PJCPJ7jyye9hjF5+keKS8kaxadWW\nIL7feJG2LhZs/uqZejuOTCZj7hcnmfP5CT57qzdxJ2eQfeFtTm15HkmCETN389PvwfV2/IZi1dpj\nfPeTN21b27HlfzOU8ptZm7D0o3F07+KMmakhZqaGDOjbhqO7/kOvHi5ERCXzy1a/RrBcmSYh8HvY\nmOkytrctRxZ6kJZTwiurQqqv9BDc66Gz8lW/TrvXw5sZVt4baWtp4GpryMJJrVnyghsHAlNYdTCm\nzm2tjtXbgpm/3If2rpac3DAJC7OaLeLc66GzcopV5t/r4c1M7vdCm/ZeY/W2YN5+qTsL3uiFg60x\nRoY69OvhwN8/jUVfT4uPvv+H3DzVbT4OrF5/nHkfb6N9G3t89n2IhblR9ZXuoqWlyetTBwJwKqD+\nV8hrQpMS+D2cmunT3tGIa7dyuZNd9zdLm+byuXe4ilXv0rJyolMK0NKUcLGpmVieubtY53ctre6M\nrAErNl9k7hcn6djaipMbJ2FrrbymUBltWsrn3uExGSrzI2LvztGd7s/RD95dSPPyUF5IsrU2pG1L\nC3LzSwirpM2mzoo1R3h7wVY6tnPAZ98CbG1q/8rT2lK+0JqXX1RNyYahSQocIDG9EADNWnhl1RSv\nTvIFkCPBqUp5p66nk19URt825tWuoN8j4a6tWpoNdzm//uU8737lS9e21pzcOJFmlga1qu/lIV/t\nPhYQQ3m5TCEvJ68Y/6BEDPS16N3lvi9AUXEZAKnpqh00UjPk6TraTfa2qpSvVx7knU/+oGunFvjs\n+5Bm1g+3YHo2MBIAF6dmdWneQ9Nof4nwxFyyVCxilZfL+GRbGClZxfRtY465kXyYXFJaTmh8LpFJ\nj/6ueUIfW6xMdNh++jaBEZkV6YXFZXz2ezgAbw5XfN3zYLkHSc0q4qOt8uHYiB7Kr93qg2X/O8NH\n3/9Djw42HP9tIlbmlYu7pKSM0Kg0IuMU7XdtYcYwTydiErKV5s2LVgeQV1DCS6PaKyya9evRHIAf\nNl0kK0exh1qzPYT4pFxsrQxp79o0VpAfpKSklNDwRCKjU5Tyln27jwVL/6JHF2dO7PkAK8uqX3cG\nhcRQXq683nLC7zo/rDkCwEuT+tSN4Y+IJJPJqi9VS9xbmcou/Lfq1yUr9kfz8bYw+rU1x9nGAEtj\nbZIzizl1LZ2o5HxszXQ5vsSD9o7yix2Tko/Lm744WesTvdZLoa2955LYdz4ZgKSMIo5cuoOLjQH9\n28uHl5bGOnw7rZ1SnYn/DUZPR4PnPe2wMNZh/4VkwhLymNDHlh3/6abgQNHt3X9IyynBo7Upjlb6\naGpIxKYUcCgohYLicsZ42PDX+92VfNhV0rZd9WUqYdPea0z/2BtNTYk5L3armEs/iHNzE6aNlXsA\nxiRk4fLULzjZmxB9/A2Fcv92VW3rYsn5K7fxOXcLN2dz/H9XdFXNzSum30vbuRyWSjNLA0Z5uWJm\nrEvw9RROnotDU1Nix/ejGPdU64c+PwDJRvVrqX+z9+BF9h4KAiApJYsjJ6/i4mxN/95yZyUrS2O+\nXfqC/Drc9R93crQk5tJ3FW1s+uM00+b8gqamBm+/MRRTFY4ozo5WTJvSv+L3oOeWczMymb4erXCw\ntwDg8rVbnPznBgDLPhrHp/95TqmdabPXV/zf++QVklOyGfdsD4yN5D7/r08dSL/e1XsgAkiW0y7K\nZDL36so12muyoZ2tiEjKx/9GOsHR2WTmlWKop4mbnSEvDWzF3JHOWNRws8ml6Gw2+SQopEUl5xOV\nLB8yOlnrKwl8TC9bfJf14stdkew+m0RhSTmtbA34bno75o5wVvKOem+0C/vOJRMUncWRS3coLi3H\nyliHwZ0seWlgcyZ52jXIZpPoePmbhbIyGSs3B6ksM7CnQ4XAq8K1hRkX/nyRRT8G4H06hkOnorGz\nNmTu1O4qN5sYGepweusLfL/pInuO3eSPgzcoLinH2lyfiU+78d50dzw62z36SdaQS1fj2LTdXyEt\nKiaVqBj51MvJ0bJC4JURHScvW1ZWzoo1R1WWGejZRkHgUyf1Zc/BIC4ER3P4xBVKSsqwsTZh0hgP\n5rw+hP592qhs59+2Auw+cLHi/4M829ZY4DWl0XrwJ5pH6MGfBGragz/J1LQHf/xWQwQCQY0RAhcI\n1BghcIFAjRECFwjUGCFwgUCNEQIXCNSYx1bgvlfT0Bh3iMXbw1Xmt5zpQ8uZPhW/N56MR2PcITae\njOdgYAqeHwVgNPkIFlOPMvGboAaJxtKQ+J6/hUb771i8OkBlfsuh62k59L7jxcY9V9Fo/x0b91zl\noF8UnlN+x6jHSix6r2bi/L+5+Zj6l1eF7+kbSJbTWPz1HpX5zl3fw7nrexW/N/7+D5LlNDb+/g8H\nj16i7/DPMXScgbnLLCZMW83NyKSGMr3GPLYCf1j2nE1i7NcXcbDUY+5IZ/q0MWfX2ST6LAggLCG3\nsc1rdPYcv8nYt/fhYGPM3Je606eLPbuO3qTP5N8Ji05vbPOaBLsPXmTM1B9xsDdn3oxh9OnZil37\nA+n99DLCHiLwY33SJAI+NCT7A1P4++MePOt+P1TtygPRvPPbDWavu8bxJb0a0brGZ79PFH//PIZn\nB7lWpK3cEsQ7y32YvfQExzdMbETrmgb7vS+x//f5PPv0/bDcK9ceZf7HvzPr/c2c2PthI1qnyBPX\ngw/uZKkgboA5zzjjamvAyStpxKY0XNDApsjgXi0UxA0wZ0pXXB3NOHkujtiE7EayrOkwuH87BXED\nzHl9KK4tm3HynxvE3rrTSJYp88QJfEAHC6U0TU2Jfu3kG1OCo5teFJmGZEBP5dDQmpoaFTvJgm8k\nN7RJTY6Bnm2V0jQ1NejXS77JJvhybEObVClPnMBtKonzZmN2N8JJJVFenhRsKtlXbmMlT8/KfXyj\ntdQVNpXsFbdtZgpAVnbTGQU+tgLXuLtzq7Rc9WYZVQETQR4JVWV65t0ghJUEYnzcuBcKubRMdZy4\nzJxKrkOa6mAOyXfk6aZGNdvh9zhwLxZ6aWkl16iSL48kp6qepiSlyEd/qracNhaPrcDNjeRCjL9T\nqJQXcTuv0p741DXlleCyMhmnb8hfA3VraVqHVjYe5ndjqcUn5SjlRcRmKAVsuMepC/FKaWVl5Zy+\nKN+O261d/X1Hq6ExN5OPSm4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Wz4j+HjRvYsO5S0ksWxfEgZPRnNwwAVsr5es/6b09/Ls/HBdHM0Y91QxzUwMu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\n839yGGlKEvHz1wAAAABJRU5ErkJggg==\n", 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Wz4j+HjRvYsO5S0ksWxfEgZPRnNwwAVsr5es/6b09/Ls/HBdHM0Y91QxzUwMu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\nl/Lp3+EAvDZEeWp158a+V/RyuZwvt0R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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(0, 1) a:up s':(0, 2) a':up\n", "----\n", "s:(0, 2) a:up s':(0, 2) a':up\n", "----\n", "s:(0, 2) a:up s':(0, 2) a':right\n", "----\n", "s:(0, 2) a:right s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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4jZh2/AXb7ssY/3/7uZX0cJVQiU3HzyvCPum0Xlz6r7x6NUVs/F2kBlOY+N6fhEclMnbK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\nQF9PB0/X6rkc92jvzNXIVL754zzd2zl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9keTUbMaO6IR7SxuCgmNZud4Pb7+bBBx4H0sLI4U8UmkJr83bzF97LtLKtRmT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\nbGeuqSmhX1v5uefg6CfzIqM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b2qqk+7RQfc5Pypc/7CH0SiImxvo4O1lyPfL2Y5UTHZtMl+e/ITk1kyED2tC0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\n95jZW/mhxqQpBtdcLfTxsFIv8DMJmYQ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vzDvG7zuvAxB+cAqezayU8hf8cpZF/yt7T8qDK8YwrLdrpa9XGbbvDeR0QBhX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\nRK5CYII=\n", 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vzDvG7zuvAxB+cAqezayU8hf8cpZF/yt7T8qDK8YwrLdrpa9XGbbvDeR0QBhX\nQm4THHKbrAd5vDShO5tWvFnlsuIT0pj3n90cPhFC6v1sHOwtGTOiI/M/fg5rK9NybVi98QyXguN4\nkJ1HYzsLOrZrxmcfjqC7j0fpcVeu3WL3wSCOnb5BdGwyqfcf0MjWnL49vPh4xjA6edfcb+dx6lTg\nP++PoZObJYO97WhsYUB2fhHnw9NZuC2C1cducfabnjjbGZdbxl8Bd3l31XUcrA0Z0NYWZzsj7mUU\nsOtcIm/+7xqHg5L5898dkdRs+Oftas7orvYq6W2bmZd5vdFd7PF2U8338bCsxB1Xnr+ORPDu4pM4\nNDJlQFcnnJuYcy81h10nInlz/nEO+8Xy548j1d7Xk3y18jzBYSmYmejjZG9GaExBlWzZdyqa33de\nx8xEnwc5heUe+9roVrg4WqikP/lCqAm+/HE/wSG3MTM1xMnRhtCIu09VTlRMEj1HfENSciajh3eg\nZXMHLlyOYenK4xw+EYL/wc+wtTFTOkcmK+K199bwx47zNHe3Z9KYLlhaGJOYlMHZi9FcCo5TEvjb\n/97I+UvRdPZ2YdyznTAzNeRKyG227rrA9n2X2PbbdMY927laz0MddSrwjI1DMDLQVUn/YnMY3+yM\n4pudUfz6Vttyy/ByNGXP7M6M7NxYqUb7+sUWdJvtz45ziew8l8j4Hg4q53ZwtWDBJK8q2Ty6qz1T\nBjpV6ZynwcvVmj3Ln2NkXzfl+/qwF91e2MqOY5HsPB7J+GeaV1jWj5/2w8neDM9mVpy+GM/A13dU\n2o7ktBzemn+cScO8SEzJ5nTgnXKPf210a/p3da50+dXhp8Uv4ORojad7Y077hzFgzHdPVc67n2wi\nKTmTZd+8yPtvDipNnzVnKz+tOMYXX+1kxQ+vKp0zf8ke/thxni9mjWTR7DHo6Cj3dgsLZUrfX5rQ\nnU3/ewNPd+UKZfNf53j5ndW8NWsDzw7xxsCgZiVZp31wdeIGeL6XQoyRd7MrLGNgOztGdbFXaa42\nsTZk+pBmAJy6nlZNS2ufgd2cGdXfXfW+7EyZ/nw7AE5djK9UWQO6OtPcxbpStf2TTF9wAoDlcwZU\n+VxNM6BPS5p72D/VfZUQFZPEUd/ruDaz471pyve48NPRmJoasvGvs2Rn55emJ97L4PtfjtDdx50v\nPx+nIm4AfX1lob7/5iAVcQO8NLE7zd3tSU17wLUblft/VoU6rcHLYl9gEgDtXFSbelVBX1fx4PV0\n1f8AEu7ns/LoLVKzCrA1N6CHlxXtXcu/5pXYTH7eH0NeQTFNbYwY0M4GJ9vyuxE1jb5eyX1p9v28\nbvd1dp+MYteyUdhaVe4e/YKgDKggAAAgAElEQVQSCLyeRFFxMa6OFgzq3gw769p9PlXB1y8UgCH9\n26gI1dzcmF5dPTnqe51zl6IY1Lc1ANv3BVJQIOOFsV3JzS3gwLGrRMYkYW5mRO9uzfFuW7UWjL6+\noqLT01Nf4VWHeiHw7/dE8yBPRkaOjEtRGfjdvE97F3Nmj3V/6jJlRcVsPK14Iw7r0EjtMceCUzgW\nnKKU1r+NDeve96ZZI/U/ymUHYpW+6+pITBvsxM9TW5fZIqlJZLJiNu67CcCw3poZmAGIS8jkw/+c\n5uVnWzJ6oEfFJzxk3n/PKn03NNDl31M7s2hGj2rVtJoiLDIRAC8P1doVoLm7PUd9rxMeea9U4BeD\nYgHIyS2gZY8vuBWv3EIcP6ozG36ZhomJYYXXPxcYxY2wBJo6WNO2VdNq3Il66oXAf9gbzb30RwM/\nwzo2Yu2M9jSyrPgBlcXsTWGE3HrAiE6NGNpRWeAmhrrMmeDJmG72uNubAHA1NouFf0bgG5LK4AXn\nCfqhN6ZGjx6Pm70xy6a1ZkgHO5xsjcnIKcTv5n0+3xzGqqO3ycqRsflfyiPvmmD2T36ERKQyoo8r\nQ3u5auQaxcVypnx+BDMTfZZ+1r9S53i3aMSaxc/Qv4sTDo1MSUrL4aj/Leb+N4CvVl6gqEjO1x/2\n0oi91SEjMxcASwv1L/SS9PTMnNK0pJRMAOZ+s5teXT3ZvWEGXh5NCAm9w4xPN7Nj3yXMTA1Zt3xa\nuddOu/+AV99dA8BPX05CVwMtsnoxD353zWCKd4zg7ppB7PikE9H3cuj0bz8uR2c8VXnLDsTy494Y\nWjY1ZcMH3ir5jS0NWTTZi07ulliZ6mNlqk/fNjYcmdeFbs2tiEzM4bfjt5XO6dfGlhkjXPFyNMPE\nUBcHayMm9nTg5MJuWJvps8XvLsGxmU9lb6Xva1MQP66/TEs3azb8p/JTXFXlpw2XOR14h1ULBmNt\naVSpc8YO9mTq2Da4OVliZKhHMwcL3pjQlgP/G4O+ng4/rLtEyv1cjdlcmxQXywGwsTZl3x8f0LG9\nC6amhnTr7M7eTe9jZmrIxj/Pcufu/TLLyM7OZ/Qry4mIvscn7w9j4uguGrG1Xgi8BHsrQ8Z2a8KR\nuV1JzSrktWXBVS5j+cFYPvz9Bq2dzDi5sDs2lZhLL0FPV4dpgxX9p79vVG5gztnOmBGdFC2EM5U8\n52lY/scVPvzPaVp72HBy7QRsKim8qhIee585ywKYMqY1I/q6Vbu8Tq0b07VdEwplxZwNfrppLE1S\nUkOX1ORPUpJuZWFSmlby96A+rbAwV675HZpY0a2zO8XFcgIfNuWfJDs7n5GTl+J3LoJZ7wxhyfyJ\n1b2NMqkXTfQncWlsTGtnM67EZJKSWYCdReVE+vP+GGatvUnbZmYcX9CNxk/RxG/08FrZ+UWVPqfE\nvuy8yp9TFX7eeJlZS87Qtrktx38bT2Nbk4pPekpuRKWSX1DEut03WLf7htpjvEasA2Dn0mcZM8iz\nwjIbPRxky65gDr0uaOHZBIDwqHtq8yOiFelenvYq51hZqv8/WFsp0nPzVP0NsrJyGTl5KX+fi+CT\n94dpVNxQTwUOkJCWBygGsSrDkl1RfLYpjA5uFhyd17XSL4UnOReuaFa52VdeRBci0gFK+/M1yZI1\nF/nsJ386tGzE0dXjND4i7drUgtfHtVGbd/BMDIkpOUwc2hxzUwNcm1Y8y1FYWMTlm4pZEXfnmnUG\nqgkG9G4JwNFT1ykuLlYaSc/KysX/QiQmJgZ07/xooHFwv1Ys/mEfIaHqfQKuhyYA4OaiPPaTkZnD\nsOd/4lxgNF/MGsmXn4+r6dtRoc4EHp7wAHtLQyxN9ZXSi4vlzN0STlJGAT1bWGNtpsgvlBUTlZiD\nvp6ERxNl18HFf0Uwf2sEnT0sODK3a4XN8svRGXRwtVCZYz5xNYWf98cC8HJf5RHNwMh0fDyVvbGK\ni+Us2R3F2bB07CwMGNbRrtL3XxkWrzjP/OVn6dy6MUdWjyu3WV5YWETU7Qz09XTwqIbXWIeWjflt\n0TNq8wZM+YvElBy+mtlLyTMtK7uAhKQHtHCzUTq+oLCIfy05za27WbR0s8anjfqR6tqgsFBGVGwy\n+nq6eLg1Lk33cGvMkAFtOOp7nV/W+Co5usxfsofs7Hymv9YPU9NHrcE+Pbzo0M4Zv3MR7DpwmbEj\nO5Xmrd5wmpvhd/F0a4xPB9fS9Pvp2QyZ8COBV2JZ+Olo5n38nGZv+CF1JvCDl5P5fHMYvVta49rY\nBFtzfe5lFHDmehrR93JoYmXIqnceebHdScuj9cwzuDQyJmbFI4eE9b7xzN8aga6ORO9WNiw7GKty\nLddGJkreZx+tu0nE3Wx6trCmqa1CNNfisjh5LRWARZO96NnSWqmMrp8G0LaZGd6uFjjaGJGRU0hA\n6H1Cbj3AxFCXTTO9sTBRfllVh/V7bjB/+Vl0dSV6d27Ksk1BqvfV1IIpYxS17Z2kB7R+bgMujubE\nHFUevd19IpI9J6MASExRjAafDb7L1C+OAGBrZcz3H/d9altT03Np/dwGfNrY08rdhiaNTElOy+XU\nxdvExGdiZ23MH98Nr7TvfGXZffAyuw8qnktikmKA82xgFFNmKEam7WzM+H7RJADu3E2nVY85uDjb\nEhv0rVI5v377Mj1HfMMHn/3BiTM3aOXlyPlL0fj6heLlYc9XXyjXtJIksX75NPo99y3jp/zKqKHe\neHnYcz0sgUPHr2Fqasj6X6YpjYqPe+0XAq/E4uHWmOJiOQuW7FG5nzEjOtKhXbOae0DUocAHt7cj\n8m4O/qFpBMVkkp4tw9RIFy8HU17u58kHI1wrNUAWk6T4wRYVy1n6sPZ9kn5tbJQE/nLfpuy+kMjF\nyAwOBSVTKJNjb2XA8z0deG+4C31a26iU8dFzblyMzODktVTSHhSiI0EzO2PeHebCrFFuuDep2eZ5\nTLxiBqGoSM7SjariBujn07RU4OVxJTSZ9XtuKqVFx2cQ/fAaLo7m1RK4jaUR703uwMWQRI74x5GW\nkYeBvi4ezpZ8Ms2HWa920si4wZVrt1m/NUApLTo2mejYZABcnG1LBV4eHm6NCTw+t3SxycHj13Cw\nt2Tm9MFlLjZp38aZyyfnsfC7vRz1vc7B49ewszHjpQndmfvRKFo0b6J0fMwthb9FVEwSC7/bq9YO\n12a2NS5wSS6X12iBAD6elvKL3/au8XK1hhZV83//pyE1aVfXJtR7JLtpl+RyuU9Fx9WraTKBQFCz\nCIELBFqMELhAoMUIgQsEWowQuECgxQiBCwRaTIMV+KmQVHTGH2TBtnC1+W5v++L2tm/p93Un49EZ\nf5B1J+M5cCmJXp8HYPbiEWxePcrE7y4TkVBx9JiGxKkLt9Fp+zMLfjmrNt9tyBrchqwp/b5u93V0\n2v7Mut3XOXA6hl4vbcOsy3Jsev6Pif/aT0Rc2SujGiqn/EKR7KapdToBcO34Ca4dPyn9vm6LH5Ld\nNNZt8ePA0WB6Dv8a02bvYO3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890dia2NWZRlWrQ/iwuXb5OYX0cTeks4dXPn4naH06OpZcdylqwnsPBjGkZPh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\n/ImJ7+4hMl7VL72xExgcgeQ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890dia2NWZRlWrQ/iwuXb5OYX0cTeks4dXPn4naH06OpZcdylqwnsPBjGkZPh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\n/ImJ7+4hMl7VL72xExgcgeQ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Jx7G5Ga1aWnLsXAK+E7dUKvCcO0V4DPud7NxiTm4Yj1eH5gAUFsnwm7SFUyGJ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\nCLQYIXCBQIsRAhcItJj/B6aW5JkGm0J1AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(0, 0) a:right s':(1, 0) a':up\n", "----\n", "s:(1, 0) a:up s':(1, 1) a':up\n", "----\n", "s:(1, 1) a:up s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(2, 2) a':up\n", "----\n" ] }, { "data": { "image/png": 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ej+TYsUblug1eQHhEMmamhrg42xAZc/OhBB6XkEHfUV+QcSuPcSO74d3GiTPn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\ncK4QeFVcjLrF2l2RKmnxKXnEpyjv4eZ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(0, 0) a:left s':(0, 0) a':right\n", "----\n", "s:(0, 0) a:right s':(1, 0) a':up\n", "----\n", "s:(1, 0) a:up s':(1, 1) a':up\n", "----\n", "s:(1, 1) a:up s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(2, 2) a':up\n", "----\n" ] }, { "data": { "image/png": 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OG94YGCje5zszhuB77g6BwTFkZBUgk8loZW/O9Kn9WTD7Wbp3UW0Y09S4uTkSEvI7S5f+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\n8v22EA6ejSXubi4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55BSKMdTTpL29Ia8Obsu8MS61LpABxKfJewuJVMa6Iwkq0wzubKEg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\nbNo7GNLO3oDo+0WsP57I/EcWKIMiszl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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(2, 0) a:up s':(2, 1) a':up\n", "----\n", "s:(2, 1) a:up s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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ftLU1H6s+VLH74GUCgiMJvZlE2M1kCgpLeXWiN39snFnvvFJSs1m8ah/Hz9wk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\n/RWkEBaXcJ+4hPsAODlaVgm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FD0uYNrkfu36e0+Cyku9ns3TtQXzO3iYr5yG21saMH9OTZR+Px9REXy5tfn4x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\nW3C3tFYREXeAP58sYABExNuIeFx5/xEYxl2TNck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HSoFv2HoGmUzWohbXHsXNzYHLl7eyePEv+PuHcvRoCHZ2Vsyb99pjXTaxtDTj/PnfWbZs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\n08yY0Jn/Tu2Bhakepy4kM2vFaRb/eB4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EZZGAwGOJYMkmIKDBCAIXENBgBIELCGgwgsAFBDQYQeACAhqMIHABAQ1GELiA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\ncbFRbCr3Unr8CvmeIZStHI8rpuuzXp7HTfGyLLx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2l/j0YrILJFgaa+Nma8B0HwdeGdgSbS3VbV9uYTnf/BPHwaBUYlOL0BCJcLLS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\naqSrMt7USP6cc/JLayzn1323kEplTHm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jr1iMpbE2bnYGzPBx4JWhbdHWUv3uKyip4vtDiRwMySAhoxQNkQgnKz0GdjJn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\neniRCGb1tWWEm1mztff7w4lkFFTW/D2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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(2, 0) a:up s':(2, 1) a':up\n", "----\n", "s:(2, 1) a:up s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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Hc/DgWayszAgK+g0Xl6YTeIt3+BCfIt07FoslrNl6VWGaQZ72NQKvi2vhaWzdHyYTFpec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\nzj0qFvcX+xIzSpBIJHIjhfg06f2Oulv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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(0, 1) a:left s':(0, 1) a':up\n", "----\n", "s:(0, 1) a:up s':(0, 2) a':right\n", "----\n", "s:(0, 2) a:right s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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meLnb8fLEXrwwthv6+tUvxzoV+LJ9cXTysGRg+0bYWxqQVyjjXFQ2C7fdZO3R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\nareDlSGjujly+LMuZOQW89JPV2r0eo+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f7MjIPmZSYcViMadCsjkWnIl/RC5JWWWUVdZiZ67NODdzPprmhKWR5iPVxT/J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\nBny5JYjDvnGUlFXRxdqA915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c56YPQV299eUoErfBQW8eLobiK58Pazad5owTDHA0pIedHhaGGpRW1HI5toCr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\n4sV98URklvHnrG6M62aMgZYaVvoaLBx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v0vWLetMa0Muai3/OketXXlHF5j3X+fNEJFEJuVTX1NDBQp9Bfaz5/O0RmJvo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\nlJRWYGykQ7/eDsyc7M6Lc4Y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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(1, 0) a:up s':(1, 1) a':up\n", "----\n", "s:(1, 1) a:up s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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NL+eAfxzHziQSGXeXjOwSdLQ16OhlzZyJHZg7qQMaGqqHq0/PKmb5d6GcCE4i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\nZIbsVPuVoU78FprJLwHpRKUW089b+qI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(0, 1) a:up s':(0, 2) a':right\n", "----\n", "s:(0, 2) a:right s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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/HY4mJikfsURCR2tjBj1ix//eepQOFgYPNC738+dfFzgVGs2VyDSuRqZSXFLB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\nxxLvi2N9xVnKqi/if3Yo5e9n4+tm36yCSUMpeSe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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "s:(1, 0) a:up s':(1, 1) a':up\n", "----\n", "s:(1, 1) a:up s':(1, 2) a':right\n", "----\n", "s:(1, 2) a:right s':(2, 2) a':down\n", "----\n" ] }, { "data": { "image/png": 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6uRmjoS7hVEQ2weFZ6Ouoc3BxX/p3MK3fA+rYuX7plLB26wVeX3wIW0t9fPo6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\nOWlsi1S5SS4vV9ynDcqdJgK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fr3HlG48qba0ubk4W7Pl5LE8/6apg51fv9KfX85vZcSiMnYfDeG5YmyrrmrHo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\nWDkKvQoGbVWxbpt8cG3aC9WfEPYwNJq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "alpha = 0.5\n", "gamma = 1.0\n", "\n", "def sarsa(s_pos,a):\n", " s = states[s_pos[0]][s_pos[1]]\n", " s_next_pos = state_transition(s_pos,a)\n", " s_next = states[s_next_pos[0]][s_next_pos[1]]\n", " a_next = e_greedy(s_next)\n", " \n", " q = (1.0-alpha)*s.Q[a] + alpha * (1.0 + gamma * s_next.Q[a_next])\n", " print(\"s:\" + str(s_pos)+ \" a:\" + a + \" s':\" + str(s_next_pos) + \" a':\" + a_next)\n", " print(\"----\")\n", " return s_next_pos, a_next, q\n", "\n", "def one_trial():\n", " agent.pos = (random.randrange(size),random.randrange(size))\n", " a = e_greedy(states[agent.pos[0]][agent.pos[1]])\n", " if states[agent.pos[0]][agent.pos[1]].goal:\n", " return\n", " \n", " while True:\n", " #draw(None)\n", " s_next, a_next, q = sarsa(agent.pos,a)\n", " states[agent.pos[0]][agent.pos[1]].Q[a] = q\n", " agent.pos = s_next\n", " a = a_next\n", " if states[agent.pos[0]][agent.pos[1]].goal:\n", " break\n", " \n", " \n", "for i in range(100):\n", " one_trial()\n", " draw(\"all\")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.3" } }, "nbformat": 4, "nbformat_minor": 2 }