ARTIFICIAL INTELLIGENCE/search_chap2.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "30ac5bfa",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 상태를 나타내는 클래스\n",
    "class State:\n",
    "  def __init__(self, board, goal, depth=0):\n",
    "    self.board = board\n",
    "    self.depth = depth\n",
    "    self.goal = goal\n",
    "\n",
    "  # i1과 i2를 교환하여서 새로운 상태를 반환한다. \n",
    "  def get_new_board(self, i1, i2, depth):\n",
    "    new_board = self.board[:]\n",
    "    new_board[i1], new_board[i2] = new_board[i2], new_board[i1]\n",
    "    return State(new_board, self.goal, depth)\n",
    "\n",
    "  # 자식 노드를 확장하여서 리스트에 저장하여서 반환한다. \n",
    "  def expand(self, depth):\n",
    "    result = []\n",
    "#    if depth > 5: return result\t\t# 깊이가 5 이상이면 더 이상 확장을 하지 않는다.\n",
    "    i = self.board.index(0)\t# 숫자 0(빈칸)의 위치를 찾는다. \n",
    "    if not i in [0, 3, 6] :\t\t# LEFT 연산자 \n",
    "      result.append(self.get_new_board(i, i-1, depth))\n",
    "    if not i in [0, 1, 2] :\t\t# UP 연산자 \n",
    "      result.append(self.get_new_board(i, i-3, depth))\n",
    "    if not i in [2, 5, 8]:\t\t# RIGHT 연산자 \n",
    "      result.append(self.get_new_board(i, i+1, depth))\n",
    "    if not i in [6, 7, 8]:\t\t# DOWN 연산자 \n",
    "      result.append(self.get_new_board(i, i+3, depth))\n",
    "    return result\n",
    "\n",
    "  # 객체를 출력할 때 사용한다. \n",
    "  def __str__(self):\n",
    "    return str(self.board[:3]) +\"\\n\"+\\\n",
    "    str(self.board[3:6]) +\"\\n\"+\\\n",
    "    str(self.board[6:]) +\"\\n\"+\\\n",
    "    \"------------------\"\n",
    "\n",
    "  def __eq__(self, other):\t\t\t# 이것을 정의해야 in 연산자가 올바르게 계산한다.\n",
    "    return self.board == other.board\n",
    "\n",
    "  def __ne__(self, other):\t\t\t# 이것을 정의해야 in 연산자가 올바르게 계산한다.\n",
    "    return self.board != other.board\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "3526a5e7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "START OF OPEN LIST\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[7, 0, 5]\n",
      "------------------\n",
      "END OF OPEN LIST\n",
      "1\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[7, 0, 5]\n",
      "------------------\n",
      "depth = 1\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[0, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[7, 5, 0]\n",
      "------------------\n",
      "END OF OPEN\n",
      "2\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[7, 5, 0]\n",
      "------------------\n",
      "depth = 2\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[0, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 6, 0]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "END OF OPEN\n",
      "3\n",
      "[2, 8, 3]\n",
      "[1, 6, 0]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "depth = 3\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[0, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "END OF OPEN\n",
      "4\n",
      "[2, 8, 0]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "depth = 4\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[0, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "END OF OPEN\n",
      "5\n",
      "[2, 0, 8]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "depth = 5\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[0, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[0, 2, 8]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 6, 8]\n",
      "[1, 0, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "END OF OPEN\n",
      "6\n",
      "[2, 6, 8]\n",
      "[1, 0, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "7\n",
      "[0, 2, 8]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "8\n",
      "[2, 8, 3]\n",
      "[1, 0, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "depth = 4\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[0, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[7, 0, 4]\n",
      "------------------\n",
      "END OF OPEN\n",
      "9\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[7, 0, 4]\n",
      "------------------\n",
      "depth = 5\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[0, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[0, 7, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[7, 4, 0]\n",
      "------------------\n",
      "END OF OPEN\n",
      "10\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[7, 4, 0]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "11\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[0, 7, 4]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "12\n",
      "[2, 0, 3]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "depth = 5\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[0, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "END OF OPEN\n",
      "13\n",
      "[2, 3, 0]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "14\n",
      "[0, 2, 3]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "15\n",
      "[2, 8, 3]\n",
      "[0, 1, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "depth = 5\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[0, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[0, 8, 3]\n",
      "[2, 1, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 6]\n",
      "[0, 5, 4]\n",
      "------------------\n",
      "END OF OPEN\n",
      "16\n",
      "[2, 8, 3]\n",
      "[7, 1, 6]\n",
      "[0, 5, 4]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "17\n",
      "[0, 8, 3]\n",
      "[2, 1, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "18\n",
      "[2, 8, 3]\n",
      "[1, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 2\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[0, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 0]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "END OF OPEN\n",
      "19\n",
      "[2, 8, 3]\n",
      "[1, 4, 0]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 3\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[0, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 6, 0]\n",
      "------------------\n",
      "END OF OPEN\n",
      "20\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 6, 0]\n",
      "------------------\n",
      "depth = 4\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[0, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 0, 6]\n",
      "------------------\n",
      "END OF OPEN\n",
      "21\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 0, 6]\n",
      "------------------\n",
      "depth = 5\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[0, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[0, 7, 6]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 5]\n",
      "[7, 4, 6]\n",
      "------------------\n",
      "END OF OPEN\n",
      "22\n",
      "[2, 8, 3]\n",
      "[1, 0, 5]\n",
      "[7, 4, 6]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "23\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[0, 7, 6]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "24\n",
      "[2, 8, 0]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 4\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[0, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "END OF OPEN\n",
      "25\n",
      "[2, 0, 8]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 5\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[0, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[0, 2, 8]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 4, 8]\n",
      "[1, 0, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "END OF OPEN\n",
      "26\n",
      "[2, 4, 8]\n",
      "[1, 0, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "27\n",
      "[0, 2, 8]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "28\n",
      "[2, 0, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 3\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[0, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "END OF OPEN\n",
      "29\n",
      "[2, 3, 0]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 4\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[0, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 8, 0]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "END OF OPEN\n",
      "30\n",
      "[2, 3, 4]\n",
      "[1, 8, 0]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 5\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[0, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 0, 8]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 8, 5]\n",
      "[7, 6, 0]\n",
      "------------------\n",
      "END OF OPEN\n",
      "31\n",
      "[2, 3, 4]\n",
      "[1, 8, 5]\n",
      "[7, 6, 0]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "32\n",
      "[2, 3, 4]\n",
      "[1, 0, 8]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "33\n",
      "[0, 2, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 4\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[0, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[0, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "END OF OPEN\n",
      "34\n",
      "[1, 2, 3]\n",
      "[0, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 5\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[0, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[8, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[7, 8, 4]\n",
      "[0, 6, 5]\n",
      "------------------\n",
      "END OF OPEN\n",
      "35\n",
      "[1, 2, 3]\n",
      "[7, 8, 4]\n",
      "[0, 6, 5]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "36\n",
      "[1, 2, 3]\n",
      "[8, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "탐색 성공\n"
     ]
    }
   ],
   "source": [
    "# 초기 상태\n",
    "puzzle = [2, 8, 3, \n",
    "          1, 6, 4, \n",
    "          7, 0, 5]\n",
    "\n",
    "#puzzle = [1, 2, 3, \n",
    "#          4, 0, 5, \n",
    "#          7, 8, 6]\n",
    "\n",
    "# 목표 상태\n",
    "goal = [1, 2, 3, \n",
    "        8, 0, 4, \n",
    "        7, 6, 5]\n",
    "\n",
    "#goal = [1, 2, 3, \n",
    "#        4, 5, 6, \n",
    "#        7, 8, 0]\n",
    "\n",
    "# open 리스트\n",
    "open_queue = [ ]\n",
    "open_queue.append(State(puzzle, goal))\n",
    "\n",
    "closed_queue = [ ]\n",
    "depth = 0\n",
    "\n",
    "print(\"START OF OPEN LIST\")\n",
    "for elem in open_queue:\n",
    "    print(elem)\n",
    "print(\"END OF OPEN LIST\")\n",
    "\n",
    "count=1  \n",
    "while len(open_queue) != 0: \n",
    "#    current = open_queue.pop(0)\t\t# OPEN 리스트의 앞에서 삭제\n",
    "    current = open_queue.pop()\t\t\t# OPEN 리스트의 뒤에서 삭제\n",
    "    print(count)\n",
    "    count += 1\n",
    "    print(current)\n",
    "\n",
    "    if current.board == goal:\n",
    "        print(\"탐색 성공\")\n",
    "        break\n",
    "\n",
    "    depth = current.depth+1\n",
    "    print(\"depth =\", depth)\n",
    "    print()\n",
    "\n",
    "    closed_queue.append(current)\n",
    "    if depth > 5 :\n",
    "        continue\n",
    "    for state in current.expand(depth):\n",
    "        if (state in closed_queue) or (state in open_queue):\t# 이미 거쳐간 노드이면\n",
    "            continue\t\t\t\t# 노드를 버린다.      \n",
    "        else: \n",
    "            open_queue.append(state)\t# OPEN 리스트의 끝에 추가\n",
    "\n",
    "    print(\"START OF OPEN\")\n",
    "    for elem in open_queue:\n",
    "        print(elem)\n",
    "    print(\"END OF OPEN\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2da62c20",
   "metadata": {},
   "source": [
    "bfs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "e7997a3f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "START OF OPEN LIST\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[7, 0, 5]\n",
      "------------------\n",
      "END OF OPEN LIST\n",
      "1\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[7, 0, 5]\n",
      "------------------\n",
      "depth = 1\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[0, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[7, 5, 0]\n",
      "------------------\n",
      "END OF OPEN\n",
      "2\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[0, 7, 5]\n",
      "------------------\n",
      "depth = 2\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[7, 5, 0]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "END OF OPEN\n",
      "3\n",
      "[2, 8, 3]\n",
      "[1, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 2\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[7, 5, 0]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 0]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "END OF OPEN\n",
      "4\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[7, 5, 0]\n",
      "------------------\n",
      "depth = 2\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[0, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 0]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 6, 0]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "END OF OPEN\n",
      "5\n",
      "[2, 8, 3]\n",
      "[0, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "depth = 3\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[0, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 0]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 6, 0]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[0, 8, 3]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 0, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "END OF OPEN\n",
      "6\n",
      "[2, 8, 3]\n",
      "[0, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 3\n",
      "\n",
      "START OF OPEN\n",
      "[2, 0, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 0]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 6, 0]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[0, 8, 3]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 0, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[0, 8, 3]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[0, 6, 5]\n",
      "------------------\n",
      "END OF OPEN\n",
      "7\n",
      "[2, 0, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 3\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 4, 0]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 6, 0]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[0, 8, 3]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 0, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[0, 8, 3]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[0, 6, 5]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "END OF OPEN\n",
      "8\n",
      "[2, 8, 3]\n",
      "[1, 4, 0]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 3\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 6, 0]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[0, 8, 3]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 0, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[0, 8, 3]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[0, 6, 5]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 6, 0]\n",
      "------------------\n",
      "END OF OPEN\n",
      "9\n",
      "[2, 8, 3]\n",
      "[1, 6, 0]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "depth = 3\n",
      "\n",
      "START OF OPEN\n",
      "[0, 8, 3]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 0, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[0, 8, 3]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[0, 6, 5]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 6, 0]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "END OF OPEN\n",
      "10\n",
      "[0, 8, 3]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "depth = 4\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[6, 0, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[0, 8, 3]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[0, 6, 5]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 6, 0]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[8, 0, 3]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "END OF OPEN\n",
      "11\n",
      "[2, 8, 3]\n",
      "[6, 0, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "depth = 4\n",
      "\n",
      "START OF OPEN\n",
      "[0, 8, 3]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[0, 6, 5]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 6, 0]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[8, 0, 3]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 4, 0]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 0, 5]\n",
      "------------------\n",
      "END OF OPEN\n",
      "12\n",
      "[0, 8, 3]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 4\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[0, 6, 5]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 6, 0]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[8, 0, 3]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 4, 0]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 0, 5]\n",
      "------------------\n",
      "[8, 0, 3]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "END OF OPEN\n",
      "13\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[0, 6, 5]\n",
      "------------------\n",
      "depth = 4\n",
      "\n",
      "START OF OPEN\n",
      "[0, 2, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 6, 0]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[8, 0, 3]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 4, 0]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 0, 5]\n",
      "------------------\n",
      "[8, 0, 3]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[6, 0, 5]\n",
      "------------------\n",
      "END OF OPEN\n",
      "14\n",
      "[0, 2, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 4\n",
      "\n",
      "START OF OPEN\n",
      "[2, 3, 0]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 6, 0]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[8, 0, 3]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 4, 0]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 0, 5]\n",
      "------------------\n",
      "[8, 0, 3]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[6, 0, 5]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[0, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "END OF OPEN\n",
      "15\n",
      "[2, 3, 0]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 4\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 0]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 6, 0]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[8, 0, 3]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 4, 0]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 0, 5]\n",
      "------------------\n",
      "[8, 0, 3]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[6, 0, 5]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[0, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 8, 0]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "END OF OPEN\n",
      "16\n",
      "[2, 8, 0]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 4\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 6, 0]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[8, 0, 3]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 4, 0]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 0, 5]\n",
      "------------------\n",
      "[8, 0, 3]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[6, 0, 5]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[0, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 8, 0]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "END OF OPEN\n",
      "17\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 6, 0]\n",
      "------------------\n",
      "depth = 4\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 0, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[8, 0, 3]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 4, 0]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 0, 5]\n",
      "------------------\n",
      "[8, 0, 3]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[6, 0, 5]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[0, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 8, 0]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 0, 6]\n",
      "------------------\n",
      "END OF OPEN\n",
      "18\n",
      "[2, 8, 3]\n",
      "[1, 0, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "depth = 4\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 0]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[8, 0, 3]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 4, 0]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 0, 5]\n",
      "------------------\n",
      "[8, 0, 3]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[6, 0, 5]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[0, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 8, 0]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 0, 6]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[7, 0, 4]\n",
      "------------------\n",
      "END OF OPEN\n",
      "19\n",
      "[2, 8, 0]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "depth = 4\n",
      "\n",
      "START OF OPEN\n",
      "[8, 0, 3]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 4, 0]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 0, 5]\n",
      "------------------\n",
      "[8, 0, 3]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[6, 0, 5]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[0, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 8, 0]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 0, 6]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[7, 0, 4]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "END OF OPEN\n",
      "20\n",
      "[8, 0, 3]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "depth = 5\n",
      "\n",
      "START OF OPEN\n",
      "[2, 0, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 4, 0]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 0, 5]\n",
      "------------------\n",
      "[8, 0, 3]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[6, 0, 5]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[0, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 8, 0]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 0, 6]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[7, 0, 4]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[8, 3, 0]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[8, 6, 3]\n",
      "[2, 0, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "END OF OPEN\n",
      "21\n",
      "[2, 0, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "depth = 5\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[6, 4, 0]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 0, 5]\n",
      "------------------\n",
      "[8, 0, 3]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[6, 0, 5]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[0, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 8, 0]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 0, 6]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[7, 0, 4]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[8, 3, 0]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[8, 6, 3]\n",
      "[2, 0, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "END OF OPEN\n",
      "22\n",
      "[2, 8, 3]\n",
      "[6, 4, 0]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "depth = 5\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 0, 5]\n",
      "------------------\n",
      "[8, 0, 3]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[6, 0, 5]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[0, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 8, 0]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 0, 6]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[7, 0, 4]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[8, 3, 0]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[8, 6, 3]\n",
      "[2, 0, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[6, 4, 3]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 4, 5]\n",
      "[1, 7, 0]\n",
      "------------------\n",
      "END OF OPEN\n",
      "23\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 0, 5]\n",
      "------------------\n",
      "depth = 5\n",
      "\n",
      "START OF OPEN\n",
      "[8, 0, 3]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[6, 0, 5]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[0, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 8, 0]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 0, 6]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[7, 0, 4]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[8, 3, 0]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[8, 6, 3]\n",
      "[2, 0, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[6, 4, 3]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 4, 5]\n",
      "[1, 7, 0]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[0, 1, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 5, 0]\n",
      "------------------\n",
      "END OF OPEN\n",
      "24\n",
      "[8, 0, 3]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 5\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[6, 0, 5]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[0, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 8, 0]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 0, 6]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[7, 0, 4]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[8, 3, 0]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[8, 6, 3]\n",
      "[2, 0, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[6, 4, 3]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 4, 5]\n",
      "[1, 7, 0]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[0, 1, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 5, 0]\n",
      "------------------\n",
      "[8, 3, 0]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[8, 1, 3]\n",
      "[2, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "END OF OPEN\n",
      "25\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[6, 0, 5]\n",
      "------------------\n",
      "depth = 5\n",
      "\n",
      "START OF OPEN\n",
      "[1, 2, 3]\n",
      "[0, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 8, 0]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 0, 6]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[7, 0, 4]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[8, 3, 0]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[8, 6, 3]\n",
      "[2, 0, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[6, 4, 3]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 4, 5]\n",
      "[1, 7, 0]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[0, 1, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 5, 0]\n",
      "------------------\n",
      "[8, 3, 0]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[8, 1, 3]\n",
      "[2, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 0, 4]\n",
      "[6, 1, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[6, 5, 0]\n",
      "------------------\n",
      "END OF OPEN\n",
      "26\n",
      "[1, 2, 3]\n",
      "[0, 8, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 5\n",
      "\n",
      "START OF OPEN\n",
      "[2, 3, 4]\n",
      "[1, 8, 0]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 0, 6]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[7, 0, 4]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[8, 3, 0]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[8, 6, 3]\n",
      "[2, 0, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[6, 4, 3]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 4, 5]\n",
      "[1, 7, 0]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[0, 1, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 5, 0]\n",
      "------------------\n",
      "[8, 3, 0]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[8, 1, 3]\n",
      "[2, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 0, 4]\n",
      "[6, 1, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[6, 5, 0]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[8, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[7, 8, 4]\n",
      "[0, 6, 5]\n",
      "------------------\n",
      "END OF OPEN\n",
      "27\n",
      "[2, 3, 4]\n",
      "[1, 8, 0]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 5\n",
      "\n",
      "START OF OPEN\n",
      "[2, 0, 8]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 0, 6]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[7, 0, 4]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[8, 3, 0]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[8, 6, 3]\n",
      "[2, 0, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[6, 4, 3]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 4, 5]\n",
      "[1, 7, 0]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[0, 1, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 5, 0]\n",
      "------------------\n",
      "[8, 3, 0]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[8, 1, 3]\n",
      "[2, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 0, 4]\n",
      "[6, 1, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[6, 5, 0]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[8, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[7, 8, 4]\n",
      "[0, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 0, 8]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 8, 5]\n",
      "[7, 6, 0]\n",
      "------------------\n",
      "END OF OPEN\n",
      "28\n",
      "[2, 0, 8]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 5\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 0, 6]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[0, 1, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[7, 0, 4]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[8, 3, 0]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[8, 6, 3]\n",
      "[2, 0, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[6, 4, 3]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 4, 5]\n",
      "[1, 7, 0]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[0, 1, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 5, 0]\n",
      "------------------\n",
      "[8, 3, 0]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[8, 1, 3]\n",
      "[2, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 0, 4]\n",
      "[6, 1, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[6, 5, 0]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[8, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[7, 8, 4]\n",
      "[0, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 0, 8]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 8, 5]\n",
      "[7, 6, 0]\n",
      "------------------\n",
      "[0, 2, 8]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 4, 8]\n",
      "[1, 0, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "END OF OPEN\n",
      "29\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[7, 0, 6]\n",
      "------------------\n",
      "depth = 5\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[0, 1, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 0, 3]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[7, 0, 4]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[8, 3, 0]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[8, 6, 3]\n",
      "[2, 0, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[6, 4, 3]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 4, 5]\n",
      "[1, 7, 0]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[0, 1, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 5, 0]\n",
      "------------------\n",
      "[8, 3, 0]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[8, 1, 3]\n",
      "[2, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 0, 4]\n",
      "[6, 1, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[6, 5, 0]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[8, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[7, 8, 4]\n",
      "[0, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 0, 8]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 8, 5]\n",
      "[7, 6, 0]\n",
      "------------------\n",
      "[0, 2, 8]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 4, 8]\n",
      "[1, 0, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[0, 7, 6]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 5]\n",
      "[7, 4, 6]\n",
      "------------------\n",
      "END OF OPEN\n",
      "30\n",
      "[2, 8, 3]\n",
      "[0, 1, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "depth = 5\n",
      "\n",
      "START OF OPEN\n",
      "[2, 0, 3]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[7, 0, 4]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[8, 3, 0]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[8, 6, 3]\n",
      "[2, 0, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[6, 4, 3]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 4, 5]\n",
      "[1, 7, 0]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[0, 1, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 5, 0]\n",
      "------------------\n",
      "[8, 3, 0]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[8, 1, 3]\n",
      "[2, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 0, 4]\n",
      "[6, 1, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[6, 5, 0]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[8, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[7, 8, 4]\n",
      "[0, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 0, 8]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 8, 5]\n",
      "[7, 6, 0]\n",
      "------------------\n",
      "[0, 2, 8]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 4, 8]\n",
      "[1, 0, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[0, 7, 6]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 5]\n",
      "[7, 4, 6]\n",
      "------------------\n",
      "[0, 8, 3]\n",
      "[2, 1, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 6]\n",
      "[0, 5, 4]\n",
      "------------------\n",
      "END OF OPEN\n",
      "31\n",
      "[2, 0, 3]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "depth = 5\n",
      "\n",
      "START OF OPEN\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[7, 0, 4]\n",
      "------------------\n",
      "[2, 0, 8]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[8, 3, 0]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[8, 6, 3]\n",
      "[2, 0, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[6, 4, 3]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 4, 5]\n",
      "[1, 7, 0]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[0, 1, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 5, 0]\n",
      "------------------\n",
      "[8, 3, 0]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[8, 1, 3]\n",
      "[2, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 0, 4]\n",
      "[6, 1, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[6, 5, 0]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[8, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[7, 8, 4]\n",
      "[0, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 0, 8]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 8, 5]\n",
      "[7, 6, 0]\n",
      "------------------\n",
      "[0, 2, 8]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 4, 8]\n",
      "[1, 0, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[0, 7, 6]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 5]\n",
      "[7, 4, 6]\n",
      "------------------\n",
      "[0, 8, 3]\n",
      "[2, 1, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 6]\n",
      "[0, 5, 4]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "END OF OPEN\n",
      "32\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[7, 0, 4]\n",
      "------------------\n",
      "depth = 5\n",
      "\n",
      "START OF OPEN\n",
      "[2, 0, 8]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[8, 3, 0]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[8, 6, 3]\n",
      "[2, 0, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[6, 4, 3]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 4, 5]\n",
      "[1, 7, 0]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[0, 1, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 5, 0]\n",
      "------------------\n",
      "[8, 3, 0]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[8, 1, 3]\n",
      "[2, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 0, 4]\n",
      "[6, 1, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[6, 5, 0]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[8, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[7, 8, 4]\n",
      "[0, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 0, 8]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 8, 5]\n",
      "[7, 6, 0]\n",
      "------------------\n",
      "[0, 2, 8]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 4, 8]\n",
      "[1, 0, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[0, 7, 6]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 5]\n",
      "[7, 4, 6]\n",
      "------------------\n",
      "[0, 8, 3]\n",
      "[2, 1, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 6]\n",
      "[0, 5, 4]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[0, 7, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[7, 4, 0]\n",
      "------------------\n",
      "END OF OPEN\n",
      "33\n",
      "[2, 0, 8]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "depth = 5\n",
      "\n",
      "START OF OPEN\n",
      "[8, 3, 0]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[8, 6, 3]\n",
      "[2, 0, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 0]\n",
      "[6, 4, 3]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 4, 5]\n",
      "[1, 7, 0]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[0, 1, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 5, 0]\n",
      "------------------\n",
      "[8, 3, 0]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[8, 1, 3]\n",
      "[2, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 0, 4]\n",
      "[6, 1, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[6, 5, 0]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[8, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[1, 2, 3]\n",
      "[7, 8, 4]\n",
      "[0, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 0, 8]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 3, 4]\n",
      "[1, 8, 5]\n",
      "[7, 6, 0]\n",
      "------------------\n",
      "[0, 2, 8]\n",
      "[1, 4, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 4, 8]\n",
      "[1, 0, 3]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 4, 5]\n",
      "[0, 7, 6]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 0, 5]\n",
      "[7, 4, 6]\n",
      "------------------\n",
      "[0, 8, 3]\n",
      "[2, 1, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[7, 1, 6]\n",
      "[0, 5, 4]\n",
      "------------------\n",
      "[0, 2, 3]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 3, 0]\n",
      "[1, 8, 6]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[0, 7, 4]\n",
      "------------------\n",
      "[2, 8, 3]\n",
      "[1, 5, 6]\n",
      "[7, 4, 0]\n",
      "------------------\n",
      "[0, 2, 8]\n",
      "[1, 6, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "[2, 6, 8]\n",
      "[1, 0, 3]\n",
      "[7, 5, 4]\n",
      "------------------\n",
      "END OF OPEN\n",
      "34\n",
      "[8, 3, 0]\n",
      "[2, 6, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "35\n",
      "[8, 6, 3]\n",
      "[2, 0, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "36\n",
      "[0, 2, 3]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "37\n",
      "[2, 3, 0]\n",
      "[6, 8, 4]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "38\n",
      "[2, 8, 0]\n",
      "[6, 4, 3]\n",
      "[1, 7, 5]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "39\n",
      "[2, 8, 3]\n",
      "[6, 4, 5]\n",
      "[1, 7, 0]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "40\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[0, 1, 5]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "41\n",
      "[2, 8, 3]\n",
      "[6, 7, 4]\n",
      "[1, 5, 0]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "42\n",
      "[8, 3, 0]\n",
      "[2, 1, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "43\n",
      "[8, 1, 3]\n",
      "[2, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "44\n",
      "[2, 8, 3]\n",
      "[7, 0, 4]\n",
      "[6, 1, 5]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "45\n",
      "[2, 8, 3]\n",
      "[7, 1, 4]\n",
      "[6, 5, 0]\n",
      "------------------\n",
      "depth = 6\n",
      "\n",
      "46\n",
      "[1, 2, 3]\n",
      "[8, 0, 4]\n",
      "[7, 6, 5]\n",
      "------------------\n",
      "탐색 성공\n"
     ]
    }
   ],
   "source": [
    "# 초기 상태\n",
    "puzzle = [2, 8, 3, \n",
    "          1, 6, 4, \n",
    "          7, 0, 5]\n",
    "\n",
    "#puzzle = [1, 2, 3, \n",
    "#          4, 0, 5, \n",
    "#          7, 8, 6]\n",
    "\n",
    "# 목표 상태\n",
    "goal = [1, 2, 3, \n",
    "        8, 0, 4, \n",
    "        7, 6, 5]\n",
    "\n",
    "#goal = [1, 2, 3, \n",
    "#        4, 5, 6, \n",
    "#        7, 8, 0]\n",
    "\n",
    "# open 리스트\n",
    "open_queue = [ ]\n",
    "open_queue.append(State(puzzle, goal))\n",
    "\n",
    "closed_queue = [ ]\n",
    "depth = 0\n",
    "\n",
    "print(\"START OF OPEN LIST\")\n",
    "for elem in open_queue:\n",
    "    print(elem)\n",
    "print(\"END OF OPEN LIST\")\n",
    "\n",
    "count=1  \n",
    "while len(open_queue) != 0: \n",
    "    current = open_queue.pop(0)\t\t\t# OPEN 리스트의 앞에서 삭제\n",
    "#    current = open_queue.pop()\t\t\t#\n",
    "    print(count)\n",
    "    count += 1\n",
    "    print(current)\n",
    "\n",
    "    if current.board == goal:\n",
    "        print(\"탐색 성공\")\n",
    "        break\n",
    "\n",
    "    depth = current.depth+1\n",
    "    print(\"depth =\", depth)\n",
    "    print()\n",
    "\n",
    "    closed_queue.append(current)\n",
    "    if depth > 5 :\n",
    "        continue\n",
    "    for state in current.expand(depth):\n",
    "        if (state in closed_queue) or (state in open_queue):\t# 이미 거쳐간 노드이면\n",
    "            continue\t\t\t\t# 노드를 버린다.      \n",
    "        else: \n",
    "            open_queue.append(state)\t# OPEN 리스트의 끝에 추가\n",
    "\n",
    "    print(\"START OF OPEN\")\n",
    "    for elem in open_queue:\n",
    "        print(elem)\n",
    "    print(\"END OF OPEN\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1ca7e0ad",
   "metadata": {},
   "source": [
    "A*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f0386142",
   "metadata": {},
   "outputs": [],
   "source": [
    "import queue\n",
    "\n",
    "# 상태를 나타내는 클래스, f(n) 값을 저장한다. \n",
    "class State:\n",
    "  def __init__(self, board, goal, depth=0):\n",
    "    self.board = board\t\t\t# 현재의 보드 상태\n",
    "    self.depth = depth\t\t\t# 깊이\n",
    "    self.goal = goal\t\t\t# 목표 상태\n",
    "\n",
    "  # i1과 i2를 교환하여서 새로운 상태를 반환한다. \n",
    "  def get_new_board(self, i1, i2, depth):\n",
    "    new_board = self.board[:]\n",
    "    new_board[i1], new_board[i2] = new_board[i2], new_board[i1]\n",
    "    return State(new_board, self.goal, depth)\n",
    "\n",
    "  # 자식 노드를 확장하여서 리스트에 저장하여서 반환한다. \n",
    "  def expand(self, moves):\n",
    "    result = []\n",
    "    i = self.board.index(0)\t\t# 숫자 0(빈칸)의 위치를 찾는다. \n",
    "    if not i in [0, 3, 6] :\t\t# LEFT 연산자 \n",
    "      result.append(self.get_new_board(i, i-1, moves))\n",
    "    if not i in [0, 1, 2] :\t\t# UP 연산자 \n",
    "      result.append(self.get_new_board(i, i-3, moves))\n",
    "    if not i in [2, 5, 8]:\t\t# RIGHT 연산자 \n",
    "      result.append(self.get_new_board(i, i+1, moves))\n",
    "    if not i in [6, 7, 8]:\t\t# DOWN 연산자 \n",
    "      result.append(self.get_new_board(i, i+3, moves))\n",
    "    return result\n",
    "\n",
    "  # f(n)을 계산하여 반환한다. \n",
    "  def f(self):\n",
    "    return self.h() + self.g()\n",
    "\n",
    "  # 휴리스틱 함수 값인 h(n)을 계산하여 반환한다. \n",
    "  # 현재 제 위치에 있지 않은 타일의 개수를 계산하여 반환한다. \n",
    "  def h(self):\n",
    "    score = 0\n",
    "    for i in range(9):\n",
    "            if self.board[i] != 0 and self.board[i] != self.goal[i]:\n",
    "                score += 1\n",
    "    return score\n",
    "\n",
    "  # 시작 노드로부터의 깊이를 반환한다. \n",
    "  def g(self):\n",
    "    return self.depth\n",
    "\n",
    "  def __eq__(self, other):\n",
    "    return self.board == other.board\n",
    "\n",
    "  def __ne__(self, other):\n",
    "    return self.board != other.board\n",
    "\n",
    "  # 상태와 상태를 비교하기 위하여 less than 연산자를 정의한다. \n",
    "  def __lt__(self, other):\n",
    "    return self.f() < other.f()\n",
    "\n",
    "  def __gt__(self, other):\n",
    "    return self.f() > other.f()\n",
    "\n",
    "  # 객체를 출력할 때 사용한다. \n",
    "  def __str__(self):\n",
    "    return f\"f(n)={self.f()} h(n)={self.h()} g(n)={self.g()}\\n\"+\\\n",
    "    str(self.board[:3]) +\"\\n\"+\\\n",
    "    str(self.board[3:6]) +\"\\n\"+\\\n",
    "    str(self.board[6:]) +\"\\n\"\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "dec1af99",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1\n",
      "f(n)=4 h(n)=4 g(n)=0\n",
      "[2, 8, 3]\n",
      "[1, 6, 4]\n",
      "[7, 0, 5]\n",
      "\n",
      "2\n",
      "f(n)=4 h(n)=3 g(n)=1\n",
      "[2, 8, 3]\n",
      "[1, 0, 4]\n",
      "[7, 6, 5]\n",
      "\n",
      "3\n",
      "f(n)=5 h(n)=3 g(n)=2\n",
      "[2, 8, 3]\n",
      "[0, 1, 4]\n",
      "[7, 6, 5]\n",
      "\n",
      "4\n",
      "f(n)=5 h(n)=3 g(n)=2\n",
      "[2, 0, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "\n",
      "5\n",
      "f(n)=5 h(n)=2 g(n)=3\n",
      "[0, 2, 3]\n",
      "[1, 8, 4]\n",
      "[7, 6, 5]\n",
      "\n",
      "6\n",
      "f(n)=5 h(n)=1 g(n)=4\n",
      "[1, 2, 3]\n",
      "[0, 8, 4]\n",
      "[7, 6, 5]\n",
      "\n",
      "7\n",
      "f(n)=5 h(n)=0 g(n)=5\n",
      "[1, 2, 3]\n",
      "[8, 0, 4]\n",
      "[7, 6, 5]\n",
      "\n",
      "탐색 성공\n"
     ]
    }
   ],
   "source": [
    "# 초기 상태\n",
    "puzzle = [2, 8, 3, \n",
    "          1, 6, 4, \n",
    "          7, 0, 5]\n",
    "\n",
    "# 목표 상태\n",
    "goal = [1, 2, 3, \n",
    "        8, 0, 4, \n",
    "        7, 6, 5]\n",
    "\n",
    "# open 리스트는 우선순위 큐로 생성한다. \n",
    "open_queue = queue.PriorityQueue()\n",
    "open_queue.put(State(puzzle, goal))\n",
    "\n",
    "closed_queue = [ ]\n",
    "depth = 0\n",
    "count = 0\n",
    "\n",
    "while not open_queue.empty():\n",
    "  current = open_queue.get()\n",
    "  count += 1\n",
    "  print(count)\n",
    "  print(current)\n",
    "  if current.board == goal:\n",
    "      print(\"탐색 성공\")\n",
    "      break\n",
    "  depth = current.depth+1\n",
    "  for state in current.expand(depth):\n",
    "    if state not in closed_queue and state not in open_queue.queue :\n",
    "      open_queue.put(state)\n",
    "  closed_queue.append(current)\n",
    "else:\n",
    "  print ('탐색 실패')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4ad526b1",
   "metadata": {},
   "source": [
    "N-queen"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ec50193e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0, 0, 1, 0], [1, 0, 0, 0], [0, 0, 0, 1], [0, 1, 0, 0]]\n"
     ]
    }
   ],
   "source": [
    "global N \n",
    "N = 4\n",
    "\n",
    "def isSafe(board, row, col): \n",
    "\tfor i in range(col): \n",
    "\t\tif board[row][i] == 1: \n",
    "\t\t\treturn False\n",
    "\tfor i, j in zip(range(row, -1, -1), range(col, -1, -1)): \n",
    "\t\tif board[i][j] == 1: \n",
    "\t\t\treturn False\n",
    "\tfor i, j in zip(range(row, N, 1), range(col, -1, -1)): \n",
    "\t\tif board[i][j] == 1: \n",
    "\t\t\treturn False\n",
    "\treturn True\n",
    "\n",
    "def solve(board, col): \n",
    "    if col >= N: \n",
    "        return True\n",
    "  \n",
    "    for i in range(N): \n",
    "        if isSafe(board, i, col): \n",
    "            board[i][col] = 1\n",
    "            if solve(board, col + 1) == True: \n",
    "                return True\n",
    "            board[i][col] = 0\n",
    "    return False\n",
    "\n",
    "board = [[0, 0, 0, 0], \n",
    "\t\t [0, 0, 0, 0], \n",
    "\t\t [0, 0, 0, 0], \n",
    "\t\t [0, 0, 0, 0] \n",
    "\t\t]\n",
    "\n",
    "#board = [[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]]\n",
    "\n",
    "if solve(board, 0) == False: \n",
    "    print (\"정답을 찾지 못했음\")\n",
    " \n",
    "print(board)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1a0c62ea",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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