시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
2 초 128 MB 37 5 3 33.333%

문제

유명한 영웅 백준은 퀘스트를 받아 혼자 모험을 하는 중에 미로를 발견하였다. 미로 주변으로 길이 없으므로 백준은 반드시 미로를 통과해야 한다.

백준은 이 미로를 잘 모르기 때문에 길이 나누어지면 그 중 무작위로 길을 택해 그쪽으로 이동할 것이다. 또한 백준은 완벽한 기억력을 가졌기 때문에 같은 길을 두 번 들어서는 일은 없고 더 이상 길이 없을 거라고 확신했을 때만 왔던 길을 돌아갈 것이다. 즉, 왔던 길을 돌아가기 전까지 안 가본 길은 다 둘러볼 것이다.

백준의 동료인 당신은 백준이 떠나고 뒤늦게 미로의 정보를 가지고 있는 지도를 발견하고는 백준이 미로를 탈출하는데 얼마나 걸릴지 궁금해서 걸음의 기댓값을 구하고자 한다. 당신은 미로를 잘 살펴본 결과 미로는 같은 지점으로 돌아오는 사이클이 없고 2×2 이상의 공간이 없다는 것을 알았다. 미로에는 입구와 출구가 각각 하나만 있고 길 옆에 출구가 있더라도 길이 나누어져 있다고 가정한다.

아래의 간단한 지도의 예를 보자.

##s###
#....#
#t####

입구는 "s"로 표시되어 있고 출구는 "t"로 표시되어 있다. 

입구에서 남쪽으로 1칸 이동했을 때 길이 갈라지는데 여기서 서쪽을 선택하고 2칸 이동하면 출구를 찾을 수 있다. 반면 동쪽을 선택했을 시 4칸 이동하여 다시 돌아오고 남은길이 서쪽밖에 없으므로 서쪽으로 2칸 이동하면 출구를 찾을 수 있다.

따라서 백준이 입구에서 출구까지 나가는데 걸음의 기댓값은 \( 1 + \frac{1}{2} \cdot (4 + 2) + \frac{1}{2} \cdot 2 = 5 \) 이다.

입력

  • 첫째 줄에는 테스트 케이스의 개수 n (0 < n ≤ 100) 이 주어진다.
  • 각 테스트 케이스에 대해서
    • 첫째 줄에는 미로의 크기를 나타내는 두 정수 3 ≤ h, w ≤ 96 가 주어진다. 
    • 다음 줄부터 h번에 걸쳐 문자가 w개 주어진다.
      • #은 벽이다.
      • s와 t는 각각 입구와 출구다.
      • .은 길이다.
    • 미로의 경계는 입구와 출구를 제외하고 전부 벽이다.
    • 입구와 출구는 항상 미로의 경계에 있다.

출력

i번째 테스트 케이스에 대해 i번째 줄에 걸음의 기댓값을 반올림하여 둘째 자리까지 출력한다.

예제 입력 1

1
3 6
##s###
#....#
#t####

예제 출력 1

5.00
[{"problem_id":"2047","problem_lang":"0","title":"\ubbf8\ub85c","description":"<p>\uc720\uba85\ud55c \uc601\uc6c5 \ubc31\uc900\uc740 \ud018\uc2a4\ud2b8\ub97c \ubc1b\uc544 \ud63c\uc790 \ubaa8\ud5d8\uc744 \ud558\ub294 \uc911\uc5d0&nbsp;\ubbf8\ub85c\ub97c \ubc1c\uacac\ud558\uc600\ub2e4. \ubbf8\ub85c \uc8fc\ubcc0\uc73c\ub85c \uae38\uc774 \uc5c6\uc73c\ubbc0\ub85c&nbsp;\ubc31\uc900\uc740 \ubc18\ub4dc\uc2dc \ubbf8\ub85c\ub97c \ud1b5\uacfc\ud574\uc57c&nbsp;\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ubc31\uc900\uc740 \uc774 \ubbf8\ub85c\ub97c \uc798 \ubaa8\ub974\uae30&nbsp;\ub54c\ubb38\uc5d0 \uae38\uc774 \ub098\ub204\uc5b4\uc9c0\uba74&nbsp;\uadf8 \uc911 \ubb34\uc791\uc704\ub85c \uae38\uc744 \ud0dd\ud574 \uadf8\ucabd\uc73c\ub85c \uc774\ub3d9\ud560 \uac83\uc774\ub2e4. \ub610\ud55c \ubc31\uc900\uc740 \uc644\ubcbd\ud55c \uae30\uc5b5\ub825\uc744 \uac00\uc84c\uae30 \ub54c\ubb38\uc5d0 \uac19\uc740 \uae38\uc744 \ub450&nbsp;\ubc88 \ub4e4\uc5b4\uc11c\ub294 \uc77c\uc740 \uc5c6\uace0 \ub354 \uc774\uc0c1&nbsp;\uae38\uc774 \uc5c6\uc744 \uac70\ub77c\uace0 \ud655\uc2e0\ud588\uc744 \ub54c\ub9cc \uc654\ub358 \uae38\uc744 \ub3cc\uc544\uac08 \uac83\uc774\ub2e4.&nbsp;\uc989, \uc654\ub358 \uae38\uc744&nbsp;\ub3cc\uc544\uac00\uae30 \uc804\uae4c\uc9c0 \uc548 \uac00\ubcf8&nbsp;\uae38\uc740 \ub2e4 \ub458\ub7ec\ubcfc&nbsp;\uac83\uc774\ub2e4.<\/p>\r\n\r\n<p>\ubc31\uc900\uc758 \ub3d9\ub8cc\uc778 \ub2f9\uc2e0\uc740 \ubc31\uc900\uc774 \ub5a0\ub098\uace0&nbsp;\ub4a4\ub2a6\uac8c \ubbf8\ub85c\uc758 \uc815\ubcf4\ub97c \uac00\uc9c0\uace0 \uc788\ub294 \uc9c0\ub3c4\ub97c \ubc1c\uacac\ud558\uace0\ub294&nbsp;\ubc31\uc900\uc774 \ubbf8\ub85c\ub97c \ud0c8\ucd9c\ud558\ub294\ub370 \uc5bc\ub9c8\ub098 \uac78\ub9b4\uc9c0&nbsp;\uad81\uae08\ud574\uc11c \uac78\uc74c\uc758 \uae30\ub313\uac12\uc744 \uad6c\ud558\uace0\uc790&nbsp;\ud55c\ub2e4.&nbsp;\ub2f9\uc2e0\uc740 \ubbf8\ub85c\ub97c \uc798 \uc0b4\ud3b4\ubcf8 \uacb0\uacfc \ubbf8\ub85c\ub294 \uac19\uc740 \uc9c0\uc810\uc73c\ub85c \ub3cc\uc544\uc624\ub294 \uc0ac\uc774\ud074\uc774 \uc5c6\uace0 2&times;2 \uc774\uc0c1\uc758 \uacf5\uac04\uc774 \uc5c6\ub2e4\ub294 \uac83\uc744 \uc54c\uc558\ub2e4. \ubbf8\ub85c\uc5d0\ub294&nbsp;\uc785\uad6c\uc640 \ucd9c\uad6c\uac00 \uac01\uac01 \ud558\ub098\ub9cc \uc788\uace0 \uae38&nbsp;\uc606\uc5d0 \ucd9c\uad6c\uac00 \uc788\ub354\ub77c\ub3c4 \uae38\uc774 \ub098\ub204\uc5b4\uc838&nbsp;\uc788\ub2e4\uace0&nbsp;\uac00\uc815\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc544\ub798\uc758&nbsp;\uac04\ub2e8\ud55c \uc9c0\ub3c4\uc758 \uc608\ub97c \ubcf4\uc790.<\/p>\r\n\r\n<pre>\r\n##s###\r\n#....#\r\n#t####<\/pre>\r\n\r\n<p>\uc785\uad6c\ub294&nbsp;&quot;s&quot;\ub85c \ud45c\uc2dc\ub418\uc5b4 \uc788\uace0 \ucd9c\uad6c\ub294&nbsp;&quot;t&quot;\ub85c \ud45c\uc2dc\ub418\uc5b4 \uc788\ub2e4.&nbsp;<\/p>\r\n\r\n<p>\uc785\uad6c\uc5d0\uc11c&nbsp;\ub0a8\ucabd\uc73c\ub85c 1\uce78 \uc774\ub3d9\ud588\uc744 \ub54c \uae38\uc774 \uac08\ub77c\uc9c0\ub294\ub370&nbsp;\uc5ec\uae30\uc11c \uc11c\ucabd\uc744 \uc120\ud0dd\ud558\uace0 2\uce78 \uc774\ub3d9\ud558\uba74 \ucd9c\uad6c\ub97c \ucc3e\uc744 \uc218 \uc788\ub2e4. \ubc18\uba74&nbsp;\ub3d9\ucabd\uc744 \uc120\ud0dd\ud588\uc744 \uc2dc 4\uce78 \uc774\ub3d9\ud558\uc5ec&nbsp;\ub2e4\uc2dc&nbsp;\ub3cc\uc544\uc624\uace0 \ub0a8\uc740\uae38\uc774 \uc11c\ucabd\ubc16\uc5d0 \uc5c6\uc73c\ubbc0\ub85c&nbsp;\uc11c\ucabd\uc73c\ub85c&nbsp;2\uce78 \uc774\ub3d9\ud558\uba74 \ucd9c\uad6c\ub97c \ucc3e\uc744 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ub530\ub77c\uc11c \ubc31\uc900\uc774 \uc785\uad6c\uc5d0\uc11c&nbsp;\ucd9c\uad6c\uae4c\uc9c0 \ub098\uac00\ub294\ub370 \uac78\uc74c\uc758 \uae30\ub313\uac12\uc740 <span style=\"line-height:1.6em\">\\(&nbsp;1 + \\frac{1}{2} \\cdot&nbsp;(4 + 2) + \\frac{1}{2}&nbsp;\\cdot&nbsp;2&nbsp;= 5 \\)&nbsp;\uc774\ub2e4.<\/span><\/p>\r\n","input":"<ul>\r\n\t<li>\uccab\uc9f8 \uc904\uc5d0\ub294 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uac1c\uc218 n (0 &lt; n &le; 100) \uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/li>\r\n\t<li>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574\uc11c\r\n\t<ul>\r\n\t\t<li>\uccab\uc9f8&nbsp;\uc904\uc5d0\ub294 \ubbf8\ub85c\uc758 \ud06c\uae30\ub97c \ub098\ud0c0\ub0b4\ub294 \ub450 \uc815\uc218 3 &le;&nbsp;h, w &le;&nbsp;96&nbsp;\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.&nbsp;<\/li>\r\n\t\t<li>\ub2e4\uc74c&nbsp;\uc904\ubd80\ud130 h\ubc88\uc5d0 \uac78\uccd0 \ubb38\uc790\uac00 w\uac1c \uc8fc\uc5b4\uc9c4\ub2e4.\r\n\t\t<ul>\r\n\t\t\t<li>#\uc740&nbsp;\ubcbd\uc774\ub2e4.<\/li>\r\n\t\t\t<li>s\uc640 t\ub294 \uac01\uac01 \uc785\uad6c\uc640 \ucd9c\uad6c\ub2e4.<\/li>\r\n\t\t\t<li>.\uc740 \uae38\uc774\ub2e4.<\/li>\r\n\t\t<\/ul>\r\n\t\t<\/li>\r\n\t\t<li>\ubbf8\ub85c\uc758 \uacbd\uacc4\ub294 \uc785\uad6c\uc640 \ucd9c\uad6c\ub97c \uc81c\uc678\ud558\uace0 \uc804\ubd80 \ubcbd\uc774\ub2e4.<\/li>\r\n\t\t<li>\uc785\uad6c\uc640 \ucd9c\uad6c\ub294 \ud56d\uc0c1 \ubbf8\ub85c\uc758 \uacbd\uacc4\uc5d0 \uc788\ub2e4.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ul>\r\n","output":"<p>i\ubc88\uc9f8 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574 i\ubc88\uc9f8 \uc904\uc5d0 \uac78\uc74c\uc758 \uae30\ub313\uac12\uc744 \ubc18\uc62c\ub9bc\ud558\uc5ec \ub458\uc9f8&nbsp;\uc790\ub9ac\uae4c\uc9c0 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"2047","problem_lang":"1","title":"Labyrinth","description":"<p>A well-known hero, let&#39;s say his name is Conan, is on a quest. On his way to quest completion, Conan finds himself at the entrance of a labyrinth. There is no way around the labyrinth, so Conan will have to enter and \u001cfind the exit at the other side.&nbsp;<\/p>\r\n\r\n<p>Because Conan knows very little about the labyrinth he is about to enter and also lacks psychic abilities, at every intersection he randomly chooses how to continue on his search for the exit. Conan does have a perfect memory and will make sure that he will never enter a path in the same direction twice. Moreover, he only goes back on a path where he came from when he is absolutely sure that this will take him closer to the exit. So, whenever he&#39;s exploring a path, he will explore that path as far as he can, before going back.<\/p>\r\n\r\n<p>Your task is to write a program that, given a map of the labyrinth, determines the expected number of steps Conan will take through the labyrinth. The exit of the labyrinth is always reachable from the entrance. There will be no cycles or empty rooms (of dimension 2&times;2 or above) in the labyrinth. A passage next to the exit may still be considered an intersection.<\/p>\r\n\r\n<pre>\r\n##s###\r\n#....#\r\n#t####<\/pre>\r\n\r\n<p>Conan enters the labyrinth on the position marked &quot;s&quot;. The exit of the labyrinth is marked &quot;t&quot;. There will be exactly one entrance and exactly one exit.<\/p>\r\n\r\n<p>In the above example, Conan will do one step to the south. Now he has to decide whether to continue eastward or to the west. If he goes to the east, he will return after four steps to his position. If he goes to the west, he will exit the labyrinth in two steps.<\/p>\r\n\r\n<p>The expected number of steps is:<\/p>\r\n\r\n<p>\\( 1+\\frac{1}{2}\\cdot(4+2)+\\frac{1}{2}\\cdot2=5&nbsp;\\)<\/p>\r\n","input":"<ul>\r\n\t<li>The&nbsp;first line of input consists of the integer number n (0 &lt; n &le; 100), the number of test cases;<\/li>\r\n\t<li>Then, for each test case:\r\n\t<ul>\r\n\t\t<li>One line with two positive integers: 3 &le; h;w &le; 96, the size of the labyrinth;<\/li>\r\n\t\t<li>h lines with w characters each, with the following meaning:\r\n\t\t<ul>\r\n\t\t\t<li>A character # is a wall;<\/li>\r\n\t\t\t<li>The characters s and t denote the entrance and exit respectively;<\/li>\r\n\t\t\t<li>A character . is a passage.<\/li>\r\n\t\t<\/ul>\r\n\t\t<\/li>\r\n\t\t<li>The &quot;border&quot; of the labyrinth will be a wall (all characters #), except for the entrance and exit, which will always be on this border.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ul>\r\n","output":"<p>For each test case, the output contains one line with one number: the expected number of steps from start to exit of the labyrinth, rounded to exactly two decimal places.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]