시간 제한메모리 제한제출정답맞힌 사람정답 비율
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문제

8개 주사위가 3*3 보드에 놓여져 있는 게임이 있다. (한 칸은 비어져 있다)

주사위의 각 면은 세가지 색상으로 색칠되어 있다. 만약 주사위의 인접한 칸이 비어있다면, 주사위를 그 칸으로 굴릴 수 있다.

이 퍼즐의 규칙은 다음과 같다.

1. 모든 주사위의 색상은 다음과 같이 색칠되어져 있다. 마주보는 면은 같은 색상이다.

2. 3*3 보드 중 한 칸은 비어져있으며, 나머지 칸은 주사위가 채워져 있다. 보드의 초기 상태는 아래 그림과 같다. 보드의 각 칸은 x, y좌표로 표시할 수 있고, 비어있는 칸은 다를 수도 있다.

3. 주사위는 인접한 칸 중 비어있는 칸으로 굴릴 수 있다. 이렇게 굴리게 된다면, 원래 주사위가 있던 칸은 비어있게 된다.

4. 퍼즐을 푸는 경우는 주사위의 윗 면이 문제에 주어진 색상대로 되는 것이다.

제일 처음에 퍼즐의 비어있는 칸과, 퍼즐의 목표 색상이 주어졌을 때, 퍼즐을 푸는데 필요한 굴림의 최소 회수를 출력하는 프로그램을 작성하시오.

입력

입력은 테스트 케이스가 여러 개 주어진다. 각 테스트 케이스의 첫째 줄에는 퍼즐 초기 상태의 빈 칸의 좌표가 주어진다. 다음 3개 줄에는 퍼즐의 목표 색상이 주어진다. 이 색상은 B, W, R, E 중 하나이고, B는 Blue, W는 White, R은 Red, E는 빈 칸이다. E는 반드시 1개만 주어진다.

테스트 케이스의 끝은 빈 칸의 좌표가 0 0인 경우이다.

테스트 케이스는 16개보다 작다.

출력

각 테스트 케이스에 대해서 퍼즐을 푸는데 필요한 굴림의 최솟값을 출력한다. 만약, 이 값이 30을 넘거나 퍼즐을 풀 수 없다면 -1을 출력한다.

예제 입력 1

1 2
W W W
E W W
W W W
2 1
R B W
R W W
E W W
3 3
W B W
B R E
R B R
3 3
B W R
B W R
B E R
2 1
B B B
B R B
B R E
1 1
R R R
W W W
R R E
2 1
R R R
B W B
R R E
3 2
R R R
W E W
R R R
0 0

예제 출력 1

0
3
13
23
29
30
-1
-1
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(\ud55c \uce78\uc740 \ube44\uc5b4\uc838 \uc788\ub2e4)<\/p>\r\n\r\n<p>\uc8fc\uc0ac\uc704\uc758 \uac01 \uba74\uc740 \uc138\uac00\uc9c0 \uc0c9\uc0c1\uc73c\ub85c \uc0c9\uce60\ub418\uc5b4 \uc788\ub2e4. \ub9cc\uc57d \uc8fc\uc0ac\uc704\uc758 \uc778\uc811\ud55c \uce78\uc774 \ube44\uc5b4\uc788\ub2e4\uba74, \uc8fc\uc0ac\uc704\ub97c \uadf8 \uce78\uc73c\ub85c \uad74\ub9b4 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uc774 \ud37c\uc990\uc758 \uaddc\uce59\uc740 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<p>1. \ubaa8\ub4e0 \uc8fc\uc0ac\uc704\uc758 \uc0c9\uc0c1\uc740 \ub2e4\uc74c\uacfc \uac19\uc774 \uc0c9\uce60\ub418\uc5b4\uc838 \uc788\ub2e4. \ub9c8\uc8fc\ubcf4\ub294 \uba74\uc740 \uac19\uc740 \uc0c9\uc0c1\uc774\ub2e4.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/dice_color.png\" style=\"width: 145px; height: 114px;\" \/><\/p>\r\n\r\n<p>2. 3*3 \ubcf4\ub4dc \uc911 \ud55c \uce78\uc740 \ube44\uc5b4\uc838\uc788\uc73c\uba70, \ub098\uba38\uc9c0 \uce78\uc740 \uc8fc\uc0ac\uc704\uac00 \ucc44\uc6cc\uc838 \uc788\ub2e4. \ubcf4\ub4dc\uc758 \ucd08\uae30 \uc0c1\ud0dc\ub294 \uc544\ub798 \uadf8\ub9bc\uacfc \uac19\ub2e4. \ubcf4\ub4dc\uc758 \uac01 \uce78\uc740 x, y\uc88c\ud45c\ub85c \ud45c\uc2dc\ud560 \uc218 \uc788\uace0, \ube44\uc5b4\uc788\ub294 \uce78\uc740 \ub2e4\ub97c \uc218\ub3c4 \uc788\ub2e4.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/dice_initial.png\" \/><\/p>\r\n\r\n<p>3. \uc8fc\uc0ac\uc704\ub294 \uc778\uc811\ud55c \uce78 \uc911 \ube44\uc5b4\uc788\ub294 \uce78\uc73c\ub85c \uad74\ub9b4 \uc218 \uc788\ub2e4. \uc774\ub807\uac8c \uad74\ub9ac\uac8c \ub41c\ub2e4\uba74, \uc6d0\ub798 \uc8fc\uc0ac\uc704\uac00 \uc788\ub358 \uce78\uc740 \ube44\uc5b4\uc788\uac8c \ub41c\ub2e4.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/dice_roll.png\" style=\"width: 308px; height: 100px;\" \/><\/p>\r\n\r\n<p>4. \ud37c\uc990\uc744 \ud478\ub294 \uacbd\uc6b0\ub294 \uc8fc\uc0ac\uc704\uc758 \uc717 \uba74\uc774 \ubb38\uc81c\uc5d0 \uc8fc\uc5b4\uc9c4 \uc0c9\uc0c1\ub300\ub85c \ub418\ub294 \uac83\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc81c\uc77c \ucc98\uc74c\uc5d0 \ud37c\uc990\uc758 \ube44\uc5b4\uc788\ub294 \uce78\uacfc, \ud37c\uc990\uc758 \ubaa9\ud45c \uc0c9\uc0c1\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \ud37c\uc990\uc744 \ud478\ub294\ub370 \ud544\uc694\ud55c \uad74\ub9bc\uc758 \ucd5c\uc18c \ud68c\uc218\ub97c \ucd9c\ub825\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uc785\ub825\uc740 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uac00 \uc5ec\ub7ec \uac1c \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab\uc9f8 \uc904\uc5d0\ub294 \ud37c\uc990 \ucd08\uae30 \uc0c1\ud0dc\uc758 \ube48 \uce78\uc758 \uc88c\ud45c\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \ub2e4\uc74c 3\uac1c \uc904\uc5d0\ub294 \ud37c\uc990\uc758 \ubaa9\ud45c \uc0c9\uc0c1\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774 \uc0c9\uc0c1\uc740 B, W, R, E \uc911 \ud558\ub098\uc774\uace0, B\ub294 Blue, W\ub294 White, R\uc740 Red, E\ub294 \ube48 \uce78\uc774\ub2e4. E\ub294 \ubc18\ub4dc\uc2dc 1\uac1c\ub9cc \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \ub05d\uc740 \ube48 \uce78\uc758 \uc88c\ud45c\uac00 0 0\uc778 \uacbd\uc6b0\uc774\ub2e4.<\/p>\r\n\r\n<p>\ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 16\uac1c\ubcf4\ub2e4 \uc791\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574\uc11c \ud37c\uc990\uc744 \ud478\ub294\ub370 \ud544\uc694\ud55c \uad74\ub9bc\uc758 \ucd5c\uc19f\uac12\uc744 \ucd9c\ub825\ud55c\ub2e4. \ub9cc\uc57d, \uc774 \uac12\uc774 30\uc744 \ub118\uac70\ub098 \ud37c\uc990\uc744 \ud480 \uc218 \uc5c6\ub2e4\uba74 -1\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"3907","problem_lang":"1","title":"Cubic Eight-Puzzle","description":"<p>Let&#39;s play a puzzle using eight cubes placed on a 3 x 3 board leaving one empty square.<\/p>\r\n\r\n<p>Faces of cubes are painted with three colors. As a puzzle step, you can roll one of the cubes to the adjacent empty square. Your goal is to make the specified color pattern visible from above by a number of such steps.<\/p>\r\n\r\n<p>The rules of this puzzle are as follows.<\/p>\r\n\r\n<p>1.&nbsp;Coloring of Cubes: All the cubes are colored in the same way as shown in Figure 3. The opposite faces have the same color.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/dice_color.png\" style=\"height:114px; width:145px\" \/><\/p>\r\n\r\n<p>Figure 3: Coloring of a cube<\/p>\r\n\r\n<p>2.&nbsp;Initial Board State: Eight cubes are placed on the 3 x 3 board leaving one empty square. All the cubes have the same orientation as shown in Figure 4. As shown in the figure, squares on the board are given x and y coordinates, (1, 1), (1, 2), ..., and (3, 3). The position of the initially empty square may vary.<\/p>\r\n\r\n<p>&nbsp;<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/dice_initial.png\" \/><\/p>\r\n\r\n<p>Figure 4: Initial board state<\/p>\r\n\r\n<p>3.&nbsp;Rolling Cubes: At each step, we can choose one of the cubes adjacent to the empty square and roll it into the empty square, leaving the original position empty. Figure 5 shows an example.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/dice_roll.png\" style=\"height:100px; width:308px\" \/><\/p>\r\n\r\n<p>4. Goal: The goal of this puzzle is to arrange the cubes so that their top faces form the specified color pattern by a number of cube rolling steps described above.<\/p>\r\n\r\n<p>Your task is to write a program that finds the minimum number of steps required to make the specified color pattern from the given initial state<\/p>\r\n\r\n<p>&nbsp;<\/p>\r\n\r\n<p>&nbsp;<\/p>\r\n","input":"<p>The input is a sequence of datasets. The end of the input is indicated by a line containing two zeros separated by a space. The number of datasets is less than 16. Each dataset is formatted as follows.<\/p>\r\n\r\n<pre>\r\nx   y\r\nF<sub>11<\/sub> F<sub>21<\/sub> F<sub>31<\/sub>\r\nF<sub>12<\/sub> F<sub>22<\/sub> F<sub>32<\/sub>\r\nF<sub>13<\/sub> F<sub>23<\/sub> F<sub>33<\/sub>\r\n<\/pre>\r\n\r\n<p>The first line contains two integers x and y separated by a space, indicating the position (x, y) of the initially empty square. The values of x and y are 1, 2, or 3.<\/p>\r\n\r\n<p>The following three lines specify the color pattern to make. Each line contains three characters F<sub>1j<\/sub>, F<sub>2j<\/sub>, and F<sub>3j<\/sub>, separated by a space. Character F<sub>ij<\/sub> indicates the top color of the cube, if any, at position (i, j) as follows:<\/p>\r\n\r\n<p>B: Blue,<br \/>\r\nW: White,<br \/>\r\nR: Red,<br \/>\r\nE: the square is Empty.<\/p>\r\n\r\n<p>There is exactly one `E&#39; character in each dataset<\/p>\r\n\r\n<p>&nbsp;<\/p>\r\n","output":"<p>For each dataset, output the minimum number of steps to achieve the goal, when the goal can be reached within 30 steps. Otherwise, output &quot;-1&quot; for the dataset.<\/p>\r\n\r\n<p>&nbsp;<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

ICPC > Regionals > Asia Pacific > Japan > Asia Regional Contest 2006 in Yokohama C번