시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB188679868344.121%

문제

상근이는 여자친구와의 드라이브를 위해서 운전을 배우고 있다. 도로 연수를 10년쯤 하다 보니 운전은 그럭저럭 잘하게 되었다. 하지만, 그는 유턴을 하지 못한다. 10년동안 도로 연수를 받았지만 유턴을 하지 못한다. 밥먹고 유턴만 연습했지만, 결국 유턴은 하지 못했다.

상근이는 유턴을 연습하기 위해서 시간을 투자하는 대신에 유턴을 할 필요가 없고, 유턴이 금지된 마을로 이사가려고 한다.

상근이가 이사가려고 하는 마을은 막다른 길이 있으면 안 된다. 막다른 길은 유턴을 하지 않고는 빠져나올 수 없기 때문이다. 어떤 마을의 지도가 주어졌을 때, 유턴을 하지 않고 마을의 모든 구역을 돌아다닐 수 있는지 없는지(막다른 길이 있는지 없는지)를 구하는 프로그램을 작성하시오. 

마을의 지도는 R × C 칸으로 이루어진 표로 생각할 수 있다. 각 칸에 빌딩이 있다면 'X'로 표시하고, 길이라면 '.'으로 표시한다. 모든 칸은 빌딩 또는 길이다. 상근이가 어떤 길 위에 있다면, 근처 네 방향(위,아래,오른쪽,왼쪽)의 길로 이동할 수 있다. 빌딩으로는 이동할 수 없다.

이 마을에 막다른 길이 없다면, 상근이는 임의의 한 길에서 시작해서, 갈 수 있는 어떤 방향으로 움직이더라도, 유턴을 하지 않고 그 위치로 돌아올 수 있어야 한다.

유턴은 방금 이동한 방향의 반대 방향으로 이동하는 것을 말한다.

입력

첫째 줄에 마을의 크기 R과 C가 주어진다. (3 ≤ R, C ≤ 10)

다음 R개 줄에는 마을의 지도가 주어진다. 모든 길은 서로 연결되어 있다. 또, 마을에는 적어도 두 개의 길이 있다.

출력

첫째 줄에 마을에 막다른 길이 없다면 0을, 그렇지 않다면 1을 출력한다.

예제 입력 1

4 3
XXX
X.X
X.X
XXX

예제 출력 1

1

예제 입력 2

5 5
XX.XX
X...X
.....
X...X
XX.XX

예제 출력 2

1

예제 입력 3

3 9
...XXX...
.X.....X.
...XXX...

예제 출력 3

0
[{"problem_id":"2823","problem_lang":"0","title":"\uc720\ud134 \uc2eb\uc5b4","description":"<p>\uc0c1\uadfc\uc774\ub294 \uc5ec\uc790\uce5c\uad6c\uc640\uc758 \ub4dc\ub77c\uc774\ube0c\ub97c \uc704\ud574\uc11c \uc6b4\uc804\uc744 \ubc30\uc6b0\uace0 \uc788\ub2e4. \ub3c4\ub85c \uc5f0\uc218\ub97c 10\ub144\ucbe4 \ud558\ub2e4 \ubcf4\ub2c8 \uc6b4\uc804\uc740 \uadf8\ub7ed\uc800\ub7ed \uc798\ud558\uac8c \ub418\uc5c8\ub2e4. \ud558\uc9c0\ub9cc, \uadf8\ub294 \uc720\ud134\uc744 \ud558\uc9c0 \ubabb\ud55c\ub2e4. 10\ub144\ub3d9\uc548 \ub3c4\ub85c \uc5f0\uc218\ub97c \ubc1b\uc558\uc9c0\ub9cc \uc720\ud134\uc744 \ud558\uc9c0 \ubabb\ud55c\ub2e4. \ubc25\uba39\uace0 \uc720\ud134\ub9cc \uc5f0\uc2b5\ud588\uc9c0\ub9cc, \uacb0\uad6d \uc720\ud134\uc740 \ud558\uc9c0 \ubabb\ud588\ub2e4.<\/p>\r\n\r\n<p>\uc0c1\uadfc\uc774\ub294 \uc720\ud134\uc744 \uc5f0\uc2b5\ud558\uae30 \uc704\ud574\uc11c \uc2dc\uac04\uc744 \ud22c\uc790\ud558\ub294 \ub300\uc2e0\uc5d0 \uc720\ud134\uc744 \ud560 \ud544\uc694\uac00 \uc5c6\uace0, \uc720\ud134\uc774 \uae08\uc9c0\ub41c \ub9c8\uc744\ub85c \uc774\uc0ac\uac00\ub824\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/8b57a845-e0b4-4ee1-a16f-9a924d4680f8\/-\/preview\/\" style=\"width: 54px; height: 54px;\" \/><\/p>\r\n\r\n<p>\uc0c1\uadfc\uc774\uac00 \uc774\uc0ac\uac00\ub824\uace0 \ud558\ub294 \ub9c8\uc744\uc740 \ub9c9\ub2e4\ub978 \uae38\uc774 \uc788\uc73c\uba74 \uc548 \ub41c\ub2e4. \ub9c9\ub2e4\ub978 \uae38\uc740 \uc720\ud134\uc744 \ud558\uc9c0 \uc54a\uace0\ub294 \ube60\uc838\ub098\uc62c \uc218 \uc5c6\uae30 \ub54c\ubb38\uc774\ub2e4. \uc5b4\ub5a4 \ub9c8\uc744\uc758 \uc9c0\ub3c4\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uc720\ud134\uc744 \ud558\uc9c0 \uc54a\uace0 \ub9c8\uc744\uc758 \ubaa8\ub4e0 \uad6c\uc5ed\uc744 \ub3cc\uc544\ub2e4\ub2d0 \uc218 \uc788\ub294\uc9c0 \uc5c6\ub294\uc9c0(\ub9c9\ub2e4\ub978 \uae38\uc774 \uc788\ub294\uc9c0 \uc5c6\ub294\uc9c0)\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.&nbsp;<\/p>\r\n\r\n<p>\ub9c8\uc744\uc758 \uc9c0\ub3c4\ub294 R &times; C \uce78\uc73c\ub85c \uc774\ub8e8\uc5b4\uc9c4 \ud45c\ub85c \uc0dd\uac01\ud560 \uc218 \uc788\ub2e4. \uac01 \uce78\uc5d0 \ube4c\ub529\uc774 \uc788\ub2e4\uba74 &#39;X&#39;\ub85c \ud45c\uc2dc\ud558\uace0, \uae38\uc774\ub77c\uba74 &#39;.&#39;\uc73c\ub85c \ud45c\uc2dc\ud55c\ub2e4. \ubaa8\ub4e0 \uce78\uc740 \ube4c\ub529 \ub610\ub294 \uae38\uc774\ub2e4. \uc0c1\uadfc\uc774\uac00 \uc5b4\ub5a4 \uae38 \uc704\uc5d0 \uc788\ub2e4\uba74, \uadfc\ucc98 \ub124 \ubc29\ud5a5(\uc704,\uc544\ub798,\uc624\ub978\ucabd,\uc67c\ucabd)\uc758 \uae38\ub85c \uc774\ub3d9\ud560 \uc218 \uc788\ub2e4. \ube4c\ub529\uc73c\ub85c\ub294 \uc774\ub3d9\ud560 \uc218 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\uc774 \ub9c8\uc744\uc5d0 \ub9c9\ub2e4\ub978 \uae38\uc774 \uc5c6\ub2e4\uba74, \uc0c1\uadfc\uc774\ub294 \uc784\uc758\uc758 \ud55c \uae38\uc5d0\uc11c \uc2dc\uc791\ud574\uc11c, \uac08 \uc218 \uc788\ub294 \uc5b4\ub5a4 \ubc29\ud5a5\uc73c\ub85c \uc6c0\uc9c1\uc774\ub354\ub77c\ub3c4, \uc720\ud134\uc744 \ud558\uc9c0 \uc54a\uace0 \uadf8 \uc704\uce58\ub85c \ub3cc\uc544\uc62c \uc218 \uc788\uc5b4\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc720\ud134\uc740 \ubc29\uae08 \uc774\ub3d9\ud55c \ubc29\ud5a5\uc758 \ubc18\ub300 \ubc29\ud5a5\uc73c\ub85c \uc774\ub3d9\ud558\ub294 \uac83\uc744 \ub9d0\ud55c\ub2e4.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \ub9c8\uc744\uc758 \ud06c\uae30 R\uacfc C\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (3 &le; R, C &le; 10)<\/p>\r\n\r\n<p>\ub2e4\uc74c R\uac1c \uc904\uc5d0\ub294 \ub9c8\uc744\uc758 \uc9c0\ub3c4\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \ubaa8\ub4e0 \uae38\uc740 \uc11c\ub85c \uc5f0\uacb0\ub418\uc5b4 \uc788\ub2e4. \ub610, \ub9c8\uc744\uc5d0\ub294 \uc801\uc5b4\ub3c4 \ub450 \uac1c\uc758 \uae38\uc774 \uc788\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \ub9c8\uc744\uc5d0 \ub9c9\ub2e4\ub978 \uae38\uc774 \uc5c6\ub2e4\uba74 0\uc744, \uadf8\ub807\uc9c0 \uc54a\ub2e4\uba74 1\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"2823","problem_lang":"1","title":"OKRET","description":"<p>Mirko has been learning to drive, but he still cannot make a U-turn in a narrow street. That&rsquo;s why he has decided to go practice in a town where U-turns are forbidden everywhere. This prohibition can be marked by the following sign:&nbsp;<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/8b57a845-e0b4-4ee1-a16f-9a924d4680f8\/-\/preview\/\" style=\"width: 54px; height: 54px;\" \/><\/p>\r\n\r\n<p>Mirko has soon figured out that his ideal town must not contain dead-end streets, since it is impossible to exit such a street without a U-turn (let us assume that Mirko cannot drive in reverse either). Write a program to analyse a town map and determine whether the town is suitable for Mirko (i.e. whether the town has any dead-end streets).&nbsp;<\/p>\r\n\r\n<p>The town map is a table with R x C cells, where each cell is a building segment (denoted by X) or a road surface (denoted by a dot). From a road surface cell, Mirko can move to any of the surrounding four cells (up, down, left, or right), provided that it is also a road surface (i.e. not a building).&nbsp;<\/p>\r\n\r\n<p>Formally, we will determine that a town is free of dead-end streets if, starting from any road surface cell and going in any of the possible directions, we can return to the starting cell without making a 180 degrees turn (changing our direction to the opposite one).&nbsp;<\/p>\r\n","input":"<p>The first line of input contains the positive integers R and C (3 &le; R, C &le; 10), the dimensions of the town.&nbsp;<\/p>\r\n\r\n<p>Each of the next R lines contains C characters, with each character either &ldquo;X&rdquo; or &ldquo;.&rdquo;. These R x C characters represent the town map as described in the text above. At least two cells will be road surfaces, and all road surfaces will be connected (i.e. mutually reachable).&nbsp;<\/p>\r\n","output":"<p>The first and only line of output must contain 0 if the town is free of dead-end streets, otherwise it must contain 1.&nbsp;<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

Contest > Croatian Open Competition in Informatics > COCI 2011/2012 > Contest #2 2번