시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB143337928627.395%

문제

소코반은 1982년에 일본에서 만들어진 게임으로, 일본어로 창고지기라는 뜻이다. 이 게임은 캐릭터를 이용해 창고 안에 있는 박스를 모두 목표점으로 옮기는 게임이다. 목표점의 수와 박스의 수는 같다. 플레이어는 화살표(위, 아래, 왼쪽, 오른쪽)를 이용해 캐릭터를 아래와 같은 규칙으로 조정할 수 있다.

  • 캐릭터에게 지시한 방향이 빈 칸(박스나 벽이 아닌 곳)인 경우에는 그 칸으로 이동한다.
  • 지시한 방향에 박스가 있는 경우에는, 박스를 민다. 이 경우에는 박스가 이동할 칸도 비어있어야 한다.
  • 지시한 방향이 벽인 경우, 또는 박스가 있는데, 박스가 이동할 칸에 다른 박스나 벽이 있는 경우에는 키를 눌러도 캐릭터는 이동하지 않는다.

모든 박스를 목표점으로 이동시킨 경우에 게임은 끝난다. 게임이 끝난 후에 입력하는 키는 모두 무시된다.

준규는 소코반으로 고통받는 친구들을 위해서 소코반의 해를 찾는 프로그램을 작성하려고 한다. 하지만, 소코반의 해를 찾는 문제는 NP-hard와 PSPACE-complete에 속하고, 매우 어려운 문제이다. 따라서, 간단한 소코반 프로그램을 작성해보려고 한다.

사용자가 입력한 키가 순서대로 주어졌을 때, 게임이 어떻게 진행되는지를 구하는 프로그램을 작성하시오.

게임의 상태는 아래와 같은 문자로 나타낼 수 있다.

문자
. 빈 공간
#
+ 비어 있는 목표점
b 박스
B 목표점 위에 있는 박스
w 캐릭터
W 목표점 위에 있는 캐릭터

첫 번째 입력은 문제의 그림과 같다.

입력

입력은 여러 개의 테스트 케이스로 이루어져 있다.

각 테스트 케이스의 첫째 줄에는 행과 열의 수 R, C가 주어진다. (4 ≤ R ≤ 15, 4 ≤ C ≤ 15) 다음 R개 줄에는 현재 게임의 상태가 주어진다. 모든 줄은 C개의 문자로 이루어져 있다. 마지막 줄에는 플레이어가 입력한 키가 순서대로 주어지며 길이는 최대 50이다. 위, 아래, 왼쪽, 오른쪽은 U, D, L, R로 나타낸다.

입력의 마지막 줄에는 0 0이 주어진다.

입력으로 주어지는 모든 데이터는 항상 캐릭터가 한 명이고, 박스의 수와 목표점의 수는 같다. 또, 목표점 위에 올라가 있지 않은 박스는 적어도 한 개 이며, 가장 바깥쪽 칸은 항상 벽이다.

출력

각각의 게임에 대해서, 게임 번호를 출력한 다음에 게임이 끝났으면 complete를, 아니면 incomplete를 출력한다. 그 다음 줄부터 R개 줄에는 게임의 상태를 출력한다.

예제 입력 1

8 9
#########
#...#...#
#..bb.b.#
#...#w#.#
#...#b#.#
#...++++#
#...#..##
#########
ULRURDDDUULLDDD
6 7
#######
#..####
#.+.+.#
#.bb#w#
##....#
#######
DLLUDLULUURDRDDLUDRR
0 0

예제 출력 1

Game 1: incomplete
#########
#...#...#
#..bb...#
#...#.#.#
#...#.#.#
#...+W+B#
#...#b.##
#########
Game 2: complete
#######
#..####
#.B.B.#
#.w.#.#
##....#
#######
[{"problem_id":"4577","problem_lang":"0","title":"\uc18c\ucf54\ubc18","description":"<p><img alt=\"\" src=\"\/upload\/images\/example.png\" style=\"float:right; height:178px; width:200px\" \/>\uc18c\ucf54\ubc18\uc740 1982\ub144\uc5d0 \uc77c\ubcf8\uc5d0\uc11c \ub9cc\ub4e4\uc5b4\uc9c4 \uac8c\uc784\uc73c\ub85c, \uc77c\ubcf8\uc5b4\ub85c \ucc3d\uace0\uc9c0\uae30\ub77c\ub294 \ub73b\uc774\ub2e4. \uc774 \uac8c\uc784\uc740 \uce90\ub9ad\ud130\ub97c \uc774\uc6a9\ud574 \ucc3d\uace0 \uc548\uc5d0 \uc788\ub294 \ubc15\uc2a4\ub97c \ubaa8\ub450 \ubaa9\ud45c\uc810\uc73c\ub85c \uc62e\uae30\ub294 \uac8c\uc784\uc774\ub2e4. \ubaa9\ud45c\uc810\uc758 \uc218\uc640 \ubc15\uc2a4\uc758 \uc218\ub294 \uac19\ub2e4. \ud50c\ub808\uc774\uc5b4\ub294 \ud654\uc0b4\ud45c(\uc704, \uc544\ub798, \uc67c\ucabd, \uc624\ub978\ucabd)\ub97c \uc774\uc6a9\ud574 \uce90\ub9ad\ud130\ub97c \uc544\ub798\uc640 \uac19\uc740 \uaddc\uce59\uc73c\ub85c \uc870\uc815\ud560 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\uce90\ub9ad\ud130\uc5d0\uac8c \uc9c0\uc2dc\ud55c \ubc29\ud5a5\uc774 \ube48 \uce78(\ubc15\uc2a4\ub098 \ubcbd\uc774 \uc544\ub2cc \uacf3)\uc778 \uacbd\uc6b0\uc5d0\ub294 \uadf8 \uce78\uc73c\ub85c \uc774\ub3d9\ud55c\ub2e4.<\/li>\r\n\t<li>\uc9c0\uc2dc\ud55c \ubc29\ud5a5\uc5d0 \ubc15\uc2a4\uac00 \uc788\ub294 \uacbd\uc6b0\uc5d0\ub294, \ubc15\uc2a4\ub97c \ubbfc\ub2e4. \uc774 \uacbd\uc6b0\uc5d0\ub294 \ubc15\uc2a4\uac00 \uc774\ub3d9\ud560 \uce78\ub3c4 \ube44\uc5b4\uc788\uc5b4\uc57c \ud55c\ub2e4.<\/li>\r\n\t<li>\uc9c0\uc2dc\ud55c \ubc29\ud5a5\uc774 \ubcbd\uc778 \uacbd\uc6b0, \ub610\ub294 \ubc15\uc2a4\uac00 \uc788\ub294\ub370, \ubc15\uc2a4\uac00 \uc774\ub3d9\ud560 \uce78\uc5d0 \ub2e4\ub978 \ubc15\uc2a4\ub098 \ubcbd\uc774 \uc788\ub294 \uacbd\uc6b0\uc5d0\ub294 \ud0a4\ub97c \ub20c\ub7ec\ub3c4 \uce90\ub9ad\ud130\ub294 \uc774\ub3d9\ud558\uc9c0 \uc54a\ub294\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\ubaa8\ub4e0 \ubc15\uc2a4\ub97c \ubaa9\ud45c\uc810\uc73c\ub85c&nbsp;\uc774\ub3d9\uc2dc\ud0a8 \uacbd\uc6b0\uc5d0 \uac8c\uc784\uc740 \ub05d\ub09c\ub2e4. \uac8c\uc784\uc774 \ub05d\ub09c \ud6c4\uc5d0 \uc785\ub825\ud558\ub294 \ud0a4\ub294 \ubaa8\ub450 \ubb34\uc2dc\ub41c\ub2e4.<\/p>\r\n\r\n<p>\uc900\uaddc\ub294 \uc18c\ucf54\ubc18\uc73c\ub85c \uace0\ud1b5\ubc1b\ub294 \uce5c\uad6c\ub4e4\uc744 \uc704\ud574\uc11c \uc18c\ucf54\ubc18\uc758 \ud574\ub97c \ucc3e\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\ub824\uace0 \ud55c\ub2e4. \ud558\uc9c0\ub9cc, \uc18c\ucf54\ubc18\uc758 \ud574\ub97c \ucc3e\ub294 \ubb38\uc81c\ub294&nbsp;NP-hard\uc640 PSPACE-complete\uc5d0 \uc18d\ud558\uace0, \ub9e4\uc6b0 \uc5b4\ub824\uc6b4 \ubb38\uc81c\uc774\ub2e4. \ub530\ub77c\uc11c, \uac04\ub2e8\ud55c \uc18c\ucf54\ubc18 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud574\ubcf4\ub824\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc0ac\uc6a9\uc790\uac00 \uc785\ub825\ud55c \ud0a4\uac00 \uc21c\uc11c\ub300\ub85c \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uac8c\uc784\uc774 \uc5b4\ub5bb\uac8c \uc9c4\ud589\ub418\ub294\uc9c0\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n\r\n<p>\uac8c\uc784\uc758 \uc0c1\ud0dc\ub294 \uc544\ub798\uc640 \uac19\uc740 \ubb38\uc790\ub85c \ub098\ud0c0\ub0bc \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:50%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th style=\"width:20%\">\ubb38\uc790<\/th>\r\n\t\t\t<th style=\"width:40%\">\ub73b<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td>.<\/td>\r\n\t\t\t<td>\ube48 \uacf5\uac04<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>#<\/td>\r\n\t\t\t<td>\ubcbd<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>+<\/td>\r\n\t\t\t<td>\ube44\uc5b4 \uc788\ub294 \ubaa9\ud45c\uc810<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>b<\/td>\r\n\t\t\t<td>\ubc15\uc2a4<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>B<\/td>\r\n\t\t\t<td>\ubaa9\ud45c\uc810 \uc704\uc5d0 \uc788\ub294 \ubc15\uc2a4<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>w<\/td>\r\n\t\t\t<td>\uce90\ub9ad\ud130<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>W<\/td>\r\n\t\t\t<td>\ubaa9\ud45c\uc810 \uc704\uc5d0 \uc788\ub294 \uce90\ub9ad\ud130<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>\uccab \ubc88\uc9f8 \uc785\ub825\uc740 \ubb38\uc81c\uc758 \uadf8\ub9bc\uacfc \uac19\ub2e4.<\/p>\r\n","input":"<p>\uc785\ub825\uc740 \uc5ec\ub7ec \uac1c\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab\uc9f8 \uc904\uc5d0\ub294 \ud589\uacfc \uc5f4\uc758 \uc218 R, C\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (4 &le; R &le; 15, 4 &le; C &le; 15) \ub2e4\uc74c R\uac1c \uc904\uc5d0\ub294 \ud604\uc7ac \uac8c\uc784\uc758 \uc0c1\ud0dc\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \ubaa8\ub4e0 \uc904\uc740 C\uac1c\uc758 \ubb38\uc790\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. \ub9c8\uc9c0\ub9c9 \uc904\uc5d0\ub294 \ud50c\ub808\uc774\uc5b4\uac00 \uc785\ub825\ud55c \ud0a4\uac00 \uc21c\uc11c\ub300\ub85c \uc8fc\uc5b4\uc9c0\uba70 \uae38\uc774\ub294 \ucd5c\ub300 50\uc774\ub2e4.&nbsp;\uc704, \uc544\ub798, \uc67c\ucabd, \uc624\ub978\ucabd\uc740 U, D, L, R\ub85c \ub098\ud0c0\ub0b8\ub2e4.<\/p>\r\n\r\n<p>\uc785\ub825\uc758 \ub9c8\uc9c0\ub9c9 \uc904\uc5d0\ub294 0 0\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uc785\ub825\uc73c\ub85c \uc8fc\uc5b4\uc9c0\ub294 \ubaa8\ub4e0 \ub370\uc774\ud130\ub294 \ud56d\uc0c1 \uce90\ub9ad\ud130\uac00 \ud55c \uba85\uc774\uace0, \ubc15\uc2a4\uc758 \uc218\uc640 \ubaa9\ud45c\uc810\uc758 \uc218\ub294 \uac19\ub2e4. \ub610, \ubaa9\ud45c\uc810 \uc704\uc5d0 \uc62c\ub77c\uac00 \uc788\uc9c0 \uc54a\uc740 \ubc15\uc2a4\ub294 \uc801\uc5b4\ub3c4 \ud55c \uac1c \uc774\uba70, \uac00\uc7a5 \ubc14\uae65\ucabd \uce78\uc740 \ud56d\uc0c1 \ubcbd\uc774\ub2e4.<\/p>\r\n","output":"<p>\uac01\uac01\uc758 \uac8c\uc784\uc5d0 \ub300\ud574\uc11c, \uac8c\uc784 \ubc88\ud638\ub97c \ucd9c\ub825\ud55c \ub2e4\uc74c\uc5d0 \uac8c\uc784\uc774 \ub05d\ub0ac\uc73c\uba74 complete\ub97c, \uc544\ub2c8\uba74 incomplete\ub97c \ucd9c\ub825\ud55c\ub2e4. \uadf8 \ub2e4\uc74c \uc904\ubd80\ud130 R\uac1c \uc904\uc5d0\ub294 \uac8c\uc784\uc758 \uc0c1\ud0dc\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"4577","problem_lang":"1","title":"Sokoban","description":"<p><img alt=\"\" src=\"\/upload\/images\/example.png\" style=\"float:right; height:178px; width:200px\" \/>Soko-ban is a Japanese word for a warehouse worker, and the name of a classic computer game created in the 1980s. It is a one-player game with the following premise. A single worker is in an enclosed warehouse with one or more boxes. The goal is to move those boxes to a set of target locations, with the number of target locations equalling the number of boxes. The player indicates a direction of motion for the worker using the arrow keys (up, down, left, right), according to the following rules.<\/p>\r\n\r\n<ul>\r\n\t<li>If the indicated direction of motion for the worker leads to an empty location (i.e., one that does not have a box or wall), the worker advances by one step in that direction.<\/li>\r\n\t<li>If the indicated direction of motion would cause the worker to move into a box, and the location on the other side of the box is empty, then both the worker and the box move one spot in that direction (i.e., the worker pushes the box).<\/li>\r\n\t<li>If the indicated direction of motion for a move would cause the worker to move into a wall, or to move into a box that has another box or a wall on its opposite side, then no motion takes place for that keystroke.<\/li>\r\n<\/ul>\r\n\r\n<p>The goal is to simultaneously have all boxes on the target locations. In that case, the player is successful (and as a formality, all further keystrokes will be ignored).<\/p>\r\n\r\n<p>The game has been studied by computer scientists (in fact, one graduate student wrote his entire Ph.D. dissertation about the analysis of sokoban). Unfortunately, it turns out that finding a solution is very difficult in general, as it is both NP-hard and PSPACE-complete. Therefore, your goal will be a simpler task: simulating the progress of a game based upon a player&#39;s sequence of keystrokes. For the sake of input and output, we describe the state of a game using the following symbols:<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:50%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th style=\"width:20%\">Symbol<\/th>\r\n\t\t\t<th style=\"width:40%\">Meaning<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td>.<\/td>\r\n\t\t\t<td>empty space<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>#<\/td>\r\n\t\t\t<td>wall<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>+<\/td>\r\n\t\t\t<td>empty target location<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>b<\/td>\r\n\t\t\t<td>box<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>B<\/td>\r\n\t\t\t<td>box on a target location<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>w<\/td>\r\n\t\t\t<td>worker<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>W<\/td>\r\n\t\t\t<td>worker on a target<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>For example, the initial configuration diagrammed at the beginning of this problem appears as the first input case below.<\/p>\r\n","input":"<p>Each game begins with a line containing integers R and C, where 4 &le; R &le; 15 represents the number of rows, and 4 &le; C &le; 15 represents the number of columns. Next will be R lines representing the R rows from top to bottom, with each line having precisely C characters, from left-to-right. Finally, there is a line containing at most 50 characters describing the player&#39;s sequence of keystrokes, using the symbols U, D, L, and R respectively for up, down, left, and right. You must read that entire sequence from the input, even though a particular game might end successfully prior to the end of the sequence. The data set ends with the line 0 0.<\/p>\r\n\r\n<p>We will guarantee that each game has precisely one worker, an equal number of boxes and locations, at least one initially misplaced box, and an outermost boundary consisting entirely of walls.<\/p>\r\n","output":"<p>For each game, you should first output a line identifying the game number, beginning at 1, and either the word complete or incomplete, designating whether or not the player successfully completed that game. Following that should be a representation of the final board configuration.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]