25218번 - 케이크 자르기 다국어

시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 (하단 참고)512 MB147545.455%

문제

Alice와 Bob은 함께 과일 케이크를 만들었다. 케이크는 $R \times C$ 크기의 직사각형 모양이고, 각 $1 \times 1$ 크기의 칸에는 딸기(S), 블루베리(B), 라즈베리(R) 중 딱 한 종류의 과일이 토핑으로 올라가 있거나 혹은 크림(.)만 발라져 있다.

아래 그림은 크기가 $2 \times 2$인 케이크이다.

  • 좌측 상단 $(1, 1)$에는 딸기가(S) 있고, 우측 상단 $(1, 2)$에는 과일은 없고 크림만(.) 있다.
  • 좌측 하단 $(2, 1)$에는 블루베리가(B) 있고 우측 하단 $(2, 2)$에는 라즈베리가(R) 있다.

Bob은 케이크를 총 $N-1$번 가로나 세로로 잘라서 총 $N$조각의 직사각형 모양의 크기가 더 작은 케이크를 만들어 친구들에게 나눠주고 싶다. 단, Bob이 케이크를 자를 때에는 아래 규칙에 따라 케이크를 $N-1$번 잘라야 한다.

  • $1$번째 부터 $N-1$번째 자르는 동안: Bob은 현재 자신이 가진 직사각형 모양의 케이크를 가로로 끝까지 자르거나 세로로 끝까지 잘라서 두 개의 직사각형 모양의 케이크 조각으로 만들어야 한다. 이때, 두 개의 케이크 조각은 크기가 최소한 $1 \times 1$ 이어야 한다.
    • 만약 $i$번째에 가로로 케이크를 잘랐다면, 두 케이크 조각 중 상단에 위치한 케이크 조각을 $i$번째 친구에게 주고, 하단에 위치한 케이크를 갖고 이어서 자르기를 진행한다.
    • 만약 $i$번째에 세로로 케이크를 잘랐다면, 두 케이크 조각 중 좌측에 위치한 케이크 조각을 $i$번째 친구에게 주고, 우측에 위치한 케이크를 갖고 이어서 자르기를 진행한다.
  • $N-1$번 자르고 난 후, $N-1$번째 친구에게 케이크를 주고 난 후 마지막에 남은 케이크는 그대로 $N$번째 친구에게 준다. 따라서 $R \times C$ 크기의 케이크는 한 칸도 남김없이 $N$명의 친구들에게 주게 된다.

Alice는 $N$명의 친구들이 좋아하는 과일이 무엇인지 알기 때문에, 각 친구가 받게 될 케이크에는 그 친구가 좋아하는 과일이 반드시 $1$개 이상 있도록 하고 싶다. 단, 위에 언급한 대로 케이크를 잘라 얻어진 조각은 반드시 $1$번 친구부터 $N$번 친구까지 순서대로 주어야 한다.

예를 들어 $N = 3$이고, 세 친구가 좋아하는 과일이 순서대로 딸기(S), 블루베리(B), 그리고 라즈베리(R)라 하자. 이때, 위의 $2 \times 2$ 케이크를 $3$조각으로 자르기 위해 Bob은 총 $2$번 케이크를 잘라야 하고, 위 규칙을 따르면 아래와 같이 두 가지 방법이 있다.

방법 1

1번째 자르기: 가로로 자르기

규칙대로 $1$번 친구에게 상단의 $1 \times 2$ 케이크 조각을 준다. 이 조각은 딸기를 하나 포함한다.

하단의 $1 \times 2$ 케이크를 $2$, $3$번 친구에게 준다.

2번째 자르기: 세로로 자르기

$1 \times 2$ 케이크를 세로로 잘라 좌측의 블루베리(B) 조각은 $2$번 친구에게 주고, 우측의 라즈베리(R) 조각은 $3$번 친구에게 준다.
방법 2

1번째 자르기: 세로로 자르기

규칙대로 $1$번 친구에게 좌측의 $2 \times 1$ 케이크 조각을 준다. 이 조각은 딸기 하나와 블루베리 하나를 포함한다.

우측의 $2 \times 1$ 케이크를 $2$, $3$번 친구에게 준다.

2번째 자르기: 가로로 자르기

$2 \times 1$ 케이크를 가로로 잘라 상단의 크림(.) 조각은 $2$번 친구에게 주고, 하단의 라즈베리(R) 조각은 $3$번 친구에게 준다.

위의 두 가지 방법 중 세 친구 모두가 자신의 좋아하는 과일을 포함한 조각을 얻는 방법은 첫 번째 방법뿐이다.

입력으로 케이크의 크기 및 과일이 올려진 형태, 그리고 친구들이 좋아하는 과일이 주어졌을 때, 몇 가지 다른 방법으로 케이크를 자를 수 있는지 구해보자.

입력

입력 첫 줄에는 테스트 케이스의 수 $T$가 주어진다.

각 테스트 케이스의 첫 줄에는 $R$, $C$, $N$이 공백으로 구분되어 주어진다. 다음 $R$줄에 걸쳐 각 줄에 길이가 $C$인 문자열이 주어지는데, 이는 케이크의 토핑 과일이 무엇인지 (혹은 크림만 있는지) 알려준다. $R+2$번째 줄에는 길이 $N$인 문자열이 주어지는데, 이는 $N$명의 친구가 좋아하는 과일의 종류이다.

출력

본문에 기술된 규칙에 따라 Bob이 $N-1$번 케이크를 자를 때 $N$명의 친구가 모두 만족할 수 있도록 (즉, 각 친구가 원하는 과일이 케이크 조각에 최소 $1$개 이상 포함되도록) 자르는 방법의 수를 구해 출력한다. 단, 이 값이 매우 클 수 있으므로 $10^9+7$로 나눈 나머지를 출력한다.

제한

  • $1 ≤ T ≤ 10$
  • $1 ≤ R, C ≤ 100$
  • $1 ≤ N ≤ \min{(10, R + C - 1)}$
  • 케이크를 묘사하는 문자열은 길이가 $C$이며 각 글자는 반드시 'S', 'B', 'R', '.' 네 개중 하나이다.
  • $N$명의 친구가 좋아하는 과일을 나타내는 문자열은 각 글자는 반드시 'S', 'B', 'R' 세 개중 하나이다.

예제 입력 1 

6
2 2 3
S.
BR
SBR
2 2 3
S.
BR
SRB
1 6 3
SBRSBR
SBR
3 4 4
S...
.SR.
...B
SSRB
3 3 2
SBS
BSB
SBS
SB
1 50 10
SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
SSSSSSSSSS

예제 출력 1 

1
0
7
4
4
54455620

예제 1: 본문에서 다루었다.

예제 2: 예제 1과 같은 케이크이지만, 세 명의 친구가 원하는 과일의 종류가 다르다.

예제 6: 가짓수가 매우 커질 수 있으므로 $10^9+7$로 나눈 나머지를 출력해야함에 유의하자.

[{"problem_id":"25218","problem_lang":"0","title":"\ucf00\uc774\ud06c \uc790\ub974\uae30","description":"<p>Alice\uc640 Bob\uc740 \ud568\uaed8 \uacfc\uc77c \ucf00\uc774\ud06c\ub97c \ub9cc\ub4e4\uc5c8\ub2e4. \ucf00\uc774\ud06c\ub294 $R \\times C$ \ud06c\uae30\uc758 \uc9c1\uc0ac\uac01\ud615 \ubaa8\uc591\uc774\uace0, \uac01 $1 \\times 1$ \ud06c\uae30\uc758 \uce78\uc5d0\ub294 \ub538\uae30(<code>S<\/code>), \ube14\ub8e8\ubca0\ub9ac(<code>B<\/code>), \ub77c\uc988\ubca0\ub9ac(<code>R<\/code>) \uc911 \ub531 \ud55c \uc885\ub958\uc758 \uacfc\uc77c\uc774 \ud1a0\ud551\uc73c\ub85c \uc62c\ub77c\uac00 \uc788\uac70\ub098 \ud639\uc740 \ud06c\ub9bc(<code>.<\/code>)\ub9cc \ubc1c\ub77c\uc838 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uc544\ub798 \uadf8\ub9bc\uc740 \ud06c\uae30\uac00 $2 \\times 2$\uc778 \ucf00\uc774\ud06c\uc774\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\uc88c\uce21 \uc0c1\ub2e8 $(1, 1)$\uc5d0\ub294 \ub538\uae30\uac00(<code>S<\/code>) \uc788\uace0, \uc6b0\uce21 \uc0c1\ub2e8 $(1, 2)$\uc5d0\ub294 \uacfc\uc77c\uc740 \uc5c6\uace0 \ud06c\ub9bc\ub9cc(<code>.<\/code>) \uc788\ub2e4.<\/li>\r\n\t<li>\uc88c\uce21 \ud558\ub2e8 $(2, 1)$\uc5d0\ub294 \ube14\ub8e8\ubca0\ub9ac\uac00(<code>B<\/code>) \uc788\uace0 \uc6b0\uce21 \ud558\ub2e8 $(2, 2)$\uc5d0\ub294 \ub77c\uc988\ubca0\ub9ac\uac00(<code>R<\/code>) \uc788\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/f83e731c-7219-4459-9704-f8f45b0688ec\/-\/preview\/\" style=\"height: 79px; width: 80px;\" \/><\/p>\r\n\r\n<p>Bob\uc740 \ucf00\uc774\ud06c\ub97c \ucd1d $N-1$\ubc88 \uac00\ub85c\ub098 \uc138\ub85c\ub85c \uc798\ub77c\uc11c \ucd1d $N$\uc870\uac01\uc758 \uc9c1\uc0ac\uac01\ud615 \ubaa8\uc591\uc758 \ud06c\uae30\uac00 \ub354 \uc791\uc740 \ucf00\uc774\ud06c\ub97c \ub9cc\ub4e4\uc5b4 \uce5c\uad6c\ub4e4\uc5d0\uac8c \ub098\ub220\uc8fc\uace0 \uc2f6\ub2e4. \ub2e8, Bob\uc774 \ucf00\uc774\ud06c\ub97c \uc790\ub97c \ub54c\uc5d0\ub294 \uc544\ub798 \uaddc\uce59\uc5d0 \ub530\ub77c \ucf00\uc774\ud06c\ub97c $N-1$\ubc88 \uc798\ub77c\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>$1$\ubc88\uc9f8 \ubd80\ud130 $N-1$\ubc88\uc9f8 \uc790\ub974\ub294 \ub3d9\uc548: Bob\uc740 \ud604\uc7ac \uc790\uc2e0\uc774 \uac00\uc9c4 \uc9c1\uc0ac\uac01\ud615 \ubaa8\uc591\uc758 \ucf00\uc774\ud06c\ub97c \uac00\ub85c\ub85c \ub05d\uae4c\uc9c0 \uc790\ub974\uac70\ub098 \uc138\ub85c\ub85c \ub05d\uae4c\uc9c0 \uc798\ub77c\uc11c \ub450 \uac1c\uc758 \uc9c1\uc0ac\uac01\ud615 \ubaa8\uc591\uc758 \ucf00\uc774\ud06c \uc870\uac01\uc73c\ub85c \ub9cc\ub4e4\uc5b4\uc57c \ud55c\ub2e4. \uc774\ub54c, \ub450 \uac1c\uc758 \ucf00\uc774\ud06c \uc870\uac01\uc740 \ud06c\uae30\uac00 \ucd5c\uc18c\ud55c $1 \\times 1$ \uc774\uc5b4\uc57c \ud55c\ub2e4.\r\n\t<ul>\r\n\t\t<li>\ub9cc\uc57d $i$\ubc88\uc9f8\uc5d0 \uac00\ub85c\ub85c \ucf00\uc774\ud06c\ub97c \uc798\ub790\ub2e4\uba74, \ub450 \ucf00\uc774\ud06c \uc870\uac01 \uc911 \uc0c1\ub2e8\uc5d0 \uc704\uce58\ud55c \ucf00\uc774\ud06c \uc870\uac01\uc744 $i$\ubc88\uc9f8 \uce5c\uad6c\uc5d0\uac8c \uc8fc\uace0, \ud558\ub2e8\uc5d0 \uc704\uce58\ud55c \ucf00\uc774\ud06c\ub97c \uac16\uace0 \uc774\uc5b4\uc11c \uc790\ub974\uae30\ub97c \uc9c4\ud589\ud55c\ub2e4.<\/li>\r\n\t\t<li>\ub9cc\uc57d $i$\ubc88\uc9f8\uc5d0 \uc138\ub85c\ub85c \ucf00\uc774\ud06c\ub97c \uc798\ub790\ub2e4\uba74, \ub450 \ucf00\uc774\ud06c \uc870\uac01 \uc911 \uc88c\uce21\uc5d0 \uc704\uce58\ud55c \ucf00\uc774\ud06c \uc870\uac01\uc744 $i$\ubc88\uc9f8 \uce5c\uad6c\uc5d0\uac8c \uc8fc\uace0, \uc6b0\uce21\uc5d0 \uc704\uce58\ud55c \ucf00\uc774\ud06c\ub97c \uac16\uace0 \uc774\uc5b4\uc11c \uc790\ub974\uae30\ub97c \uc9c4\ud589\ud55c\ub2e4.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n\t<li>$N-1$\ubc88 \uc790\ub974\uace0 \ub09c \ud6c4, $N-1$\ubc88\uc9f8 \uce5c\uad6c\uc5d0\uac8c \ucf00\uc774\ud06c\ub97c \uc8fc\uace0 \ub09c \ud6c4 \ub9c8\uc9c0\ub9c9\uc5d0 \ub0a8\uc740 \ucf00\uc774\ud06c\ub294 \uadf8\ub300\ub85c $N$\ubc88\uc9f8 \uce5c\uad6c\uc5d0\uac8c \uc900\ub2e4. \ub530\ub77c\uc11c $R \\times C$ \ud06c\uae30\uc758 \ucf00\uc774\ud06c\ub294 \ud55c \uce78\ub3c4 \ub0a8\uae40\uc5c6\uc774 $N$\uba85\uc758 \uce5c\uad6c\ub4e4\uc5d0\uac8c \uc8fc\uac8c \ub41c\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>Alice\ub294 $N$\uba85\uc758 \uce5c\uad6c\ub4e4\uc774 \uc88b\uc544\ud558\ub294 \uacfc\uc77c\uc774 \ubb34\uc5c7\uc778\uc9c0 \uc54c\uae30 \ub54c\ubb38\uc5d0, \uac01 \uce5c\uad6c\uac00 \ubc1b\uac8c \ub420 \ucf00\uc774\ud06c\uc5d0\ub294 \uadf8 \uce5c\uad6c\uac00 \uc88b\uc544\ud558\ub294 \uacfc\uc77c\uc774 \ubc18\ub4dc\uc2dc $1$\uac1c \uc774\uc0c1 \uc788\ub3c4\ub85d \ud558\uace0 \uc2f6\ub2e4. <em>\ub2e8, \uc704\uc5d0 \uc5b8\uae09\ud55c \ub300\ub85c \ucf00\uc774\ud06c\ub97c \uc798\ub77c \uc5bb\uc5b4\uc9c4 \uc870\uac01\uc740 \ubc18\ub4dc\uc2dc $1$\ubc88 \uce5c\uad6c\ubd80\ud130 $N$\ubc88 \uce5c\uad6c\uae4c\uc9c0 \uc21c\uc11c\ub300\ub85c \uc8fc\uc5b4\uc57c \ud55c\ub2e4.<\/em><\/p>\r\n\r\n<p>\uc608\ub97c \ub4e4\uc5b4 $N = 3$\uc774\uace0, \uc138 \uce5c\uad6c\uac00 \uc88b\uc544\ud558\ub294 \uacfc\uc77c\uc774 \uc21c\uc11c\ub300\ub85c \ub538\uae30(<code>S<\/code>), \ube14\ub8e8\ubca0\ub9ac(<code>B<\/code>), \uadf8\ub9ac\uace0 \ub77c\uc988\ubca0\ub9ac(<code>R<\/code>)\ub77c \ud558\uc790. \uc774\ub54c, \uc704\uc758 $2 \\times 2$ \ucf00\uc774\ud06c\ub97c $3$\uc870\uac01\uc73c\ub85c \uc790\ub974\uae30 \uc704\ud574 Bob\uc740 \ucd1d $2$\ubc88 \ucf00\uc774\ud06c\ub97c \uc798\ub77c\uc57c \ud558\uace0, \uc704 \uaddc\uce59\uc744 \ub530\ub974\uba74 \uc544\ub798\uc640 \uac19\uc774 \ub450 \uac00\uc9c0 \ubc29\ubc95\uc774 \uc788\ub2e4.<\/p>\r\n\r\n<table class=\"table table-bordered\">\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td>\ubc29\ubc95 1<\/td>\r\n\t\t\t<td>\r\n\t\t\t<p><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/34cdaa18-3de0-4be4-abf4-6356c94474bc\/-\/preview\/\" style=\"height: 107px; width: 100px;\" \/><\/p>\r\n\r\n\t\t\t<p>1\ubc88\uc9f8 \uc790\ub974\uae30: \uac00\ub85c\ub85c \uc790\ub974\uae30<\/p>\r\n\r\n\t\t\t<p>\uaddc\uce59\ub300\ub85c $1$\ubc88 \uce5c\uad6c\uc5d0\uac8c <strong>\uc0c1\ub2e8<\/strong>\uc758 $1 \\times 2$ \ucf00\uc774\ud06c \uc870\uac01\uc744 \uc900\ub2e4. \uc774 \uc870\uac01\uc740 \ub538\uae30\ub97c \ud558\ub098 \ud3ec\ud568\ud55c\ub2e4.<\/p>\r\n\r\n\t\t\t<p><strong>\ud558\ub2e8<\/strong>\uc758 $1 \\times 2$ \ucf00\uc774\ud06c\ub97c $2$, $3$\ubc88 \uce5c\uad6c\uc5d0\uac8c \uc900\ub2e4.<\/p>\r\n\t\t\t<\/td>\r\n\t\t\t<td>\r\n\t\t\t<p><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/06395d4c-fd37-4b21-b3f6-6817ac0b85f6\/-\/preview\/\" style=\"height: 49px; width: 100px;\" \/><\/p>\r\n\r\n\t\t\t<p>2\ubc88\uc9f8 \uc790\ub974\uae30: \uc138\ub85c\ub85c \uc790\ub974\uae30<\/p>\r\n\r\n\t\t\t<p>$1 \\times 2$ \ucf00\uc774\ud06c\ub97c \uc138\ub85c\ub85c \uc798\ub77c \uc88c\uce21\uc758 \ube14\ub8e8\ubca0\ub9ac(<code>B<\/code>) \uc870\uac01\uc740 $2$\ubc88 \uce5c\uad6c\uc5d0\uac8c \uc8fc\uace0, \uc6b0\uce21\uc758 \ub77c\uc988\ubca0\ub9ac(<code>R<\/code>) \uc870\uac01\uc740 $3$\ubc88 \uce5c\uad6c\uc5d0\uac8c \uc900\ub2e4.<\/p>\r\n\t\t\t<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>\ubc29\ubc95 2<\/td>\r\n\t\t\t<td><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/0e015d22-77cf-4164-bc66-f8cfe479b61e\/-\/preview\/\" style=\"height: 88px; width: 100px;\" \/>\r\n\t\t\t<p>1\ubc88\uc9f8 \uc790\ub974\uae30: \uc138\ub85c\ub85c \uc790\ub974\uae30<\/p>\r\n\r\n\t\t\t<p>\uaddc\uce59\ub300\ub85c $1$\ubc88 \uce5c\uad6c\uc5d0\uac8c <strong>\uc88c\uce21<\/strong>\uc758 $2 \\times 1$ \ucf00\uc774\ud06c \uc870\uac01\uc744 \uc900\ub2e4. \uc774 \uc870\uac01\uc740 \ub538\uae30 \ud558\ub098\uc640 \ube14\ub8e8\ubca0\ub9ac \ud558\ub098\ub97c \ud3ec\ud568\ud55c\ub2e4.<\/p>\r\n\r\n\t\t\t<p><strong>\uc6b0\uce21<\/strong>\uc758 $2 \\times 1$ \ucf00\uc774\ud06c\ub97c $2$, $3$\ubc88 \uce5c\uad6c\uc5d0\uac8c \uc900\ub2e4.<\/p>\r\n\t\t\t<\/td>\r\n\t\t\t<td>\r\n\t\t\t<p><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/ebab1d1b-34f6-4efe-84e4-bbf6309c229d\/-\/preview\/\" style=\"height: 101px; width: 50px;\" \/><\/p>\r\n\r\n\t\t\t<p>2\ubc88\uc9f8 \uc790\ub974\uae30: \uac00\ub85c\ub85c \uc790\ub974\uae30<\/p>\r\n\r\n\t\t\t<p>$2 \\times 1$ \ucf00\uc774\ud06c\ub97c \uac00\ub85c\ub85c \uc798\ub77c \uc0c1\ub2e8\uc758 \ud06c\ub9bc(<code>.<\/code>) \uc870\uac01\uc740 $2$\ubc88 \uce5c\uad6c\uc5d0\uac8c \uc8fc\uace0, \ud558\ub2e8\uc758 \ub77c\uc988\ubca0\ub9ac(<code>R<\/code>) \uc870\uac01\uc740 $3$\ubc88 \uce5c\uad6c\uc5d0\uac8c \uc900\ub2e4.<\/p>\r\n\t\t\t<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>\uc704\uc758 \ub450 \uac00\uc9c0 \ubc29\ubc95 \uc911 \uc138 \uce5c\uad6c \ubaa8\ub450\uac00 \uc790\uc2e0\uc758 \uc88b\uc544\ud558\ub294 \uacfc\uc77c\uc744 \ud3ec\ud568\ud55c \uc870\uac01\uc744 \uc5bb\ub294 \ubc29\ubc95\uc740 \uccab \ubc88\uc9f8 \ubc29\ubc95\ubfd0\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc785\ub825\uc73c\ub85c \ucf00\uc774\ud06c\uc758 \ud06c\uae30 \ubc0f \uacfc\uc77c\uc774 \uc62c\ub824\uc9c4 \ud615\ud0dc, \uadf8\ub9ac\uace0 \uce5c\uad6c\ub4e4\uc774 \uc88b\uc544\ud558\ub294 \uacfc\uc77c\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uba87 \uac00\uc9c0 \ub2e4\ub978 \ubc29\ubc95\uc73c\ub85c \ucf00\uc774\ud06c\ub97c \uc790\ub97c \uc218 \uc788\ub294\uc9c0 \uad6c\ud574\ubcf4\uc790.<\/p>\r\n","input":"<p>\uc785\ub825 \uccab \uc904\uc5d0\ub294 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc218 $T$\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab \uc904\uc5d0\ub294 $R$, $C$, $N$\uc774 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. \ub2e4\uc74c $R$\uc904\uc5d0 \uac78\uccd0 \uac01 \uc904\uc5d0 \uae38\uc774\uac00 $C$\uc778 \ubb38\uc790\uc5f4\uc774 \uc8fc\uc5b4\uc9c0\ub294\ub370, \uc774\ub294 \ucf00\uc774\ud06c\uc758 \ud1a0\ud551 \uacfc\uc77c\uc774 \ubb34\uc5c7\uc778\uc9c0 (\ud639\uc740 \ud06c\ub9bc\ub9cc \uc788\ub294\uc9c0) \uc54c\ub824\uc900\ub2e4. $R+2$\ubc88\uc9f8 \uc904\uc5d0\ub294 \uae38\uc774 $N$\uc778 \ubb38\uc790\uc5f4\uc774 \uc8fc\uc5b4\uc9c0\ub294\ub370, \uc774\ub294 $N$\uba85\uc758 \uce5c\uad6c\uac00 \uc88b\uc544\ud558\ub294 \uacfc\uc77c\uc758 \uc885\ub958\uc774\ub2e4.<\/p>\r\n","output":"<p>\ubcf8\ubb38\uc5d0 \uae30\uc220\ub41c \uaddc\uce59\uc5d0 \ub530\ub77c Bob\uc774 $N-1$\ubc88 \ucf00\uc774\ud06c\ub97c \uc790\ub97c \ub54c $N$\uba85\uc758 \uce5c\uad6c\uac00 \ubaa8\ub450 \ub9cc\uc871\ud560 \uc218 \uc788\ub3c4\ub85d (\uc989, \uac01 \uce5c\uad6c\uac00 \uc6d0\ud558\ub294 \uacfc\uc77c\uc774 \ucf00\uc774\ud06c \uc870\uac01\uc5d0 \ucd5c\uc18c $1$\uac1c \uc774\uc0c1 \ud3ec\ud568\ub418\ub3c4\ub85d) \uc790\ub974\ub294 \ubc29\ubc95\uc758 \uc218\ub97c \uad6c\ud574 \ucd9c\ub825\ud55c\ub2e4. \ub2e8, \uc774 \uac12\uc774 \ub9e4\uc6b0 \ud074 \uc218 \uc788\uc73c\ubbc0\ub85c $10^9+7$\ub85c \ub098\ub208 \ub098\uba38\uc9c0\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean","limit":"<ul>\r\n\t<li>$1 &le; T &le; 10$<\/li>\r\n\t<li>$1 &le; R, C &le; 100$<\/li>\r\n\t<li>$1 &le; N &le; \\min{(10, R + C - 1)}$<\/li>\r\n\t<li>\ucf00\uc774\ud06c\ub97c \ubb18\uc0ac\ud558\ub294 \ubb38\uc790\uc5f4\uc740 \uae38\uc774\uac00 $C$\uc774\uba70 \uac01 \uae00\uc790\ub294 \ubc18\ub4dc\uc2dc &#39;<code>S<\/code>&#39;, &#39;<code>B<\/code>&#39;, &#39;<code>R<\/code>&#39;, &#39;<code>.<\/code>&#39; \ub124 \uac1c\uc911 \ud558\ub098\uc774\ub2e4.<\/li>\r\n\t<li>$N$\uba85\uc758 \uce5c\uad6c\uac00 \uc88b\uc544\ud558\ub294 \uacfc\uc77c\uc744 \ub098\ud0c0\ub0b4\ub294 \ubb38\uc790\uc5f4\uc740 \uac01 \uae00\uc790\ub294 \ubc18\ub4dc\uc2dc &#39;<code>S<\/code>&#39;, &#39;<code>B<\/code>&#39;, &#39;<code>R<\/code>&#39; \uc138 \uac1c\uc911 \ud558\ub098\uc774\ub2e4.<\/li>\r\n<\/ul>\r\n","sample_explain_1":"<p>\uc608\uc81c 1: \ubcf8\ubb38\uc5d0\uc11c \ub2e4\ub8e8\uc5c8\ub2e4.<\/p>\r\n\r\n<p>\uc608\uc81c 2: \uc608\uc81c 1\uacfc \uac19\uc740 \ucf00\uc774\ud06c\uc774\uc9c0\ub9cc, \uc138 \uba85\uc758 \uce5c\uad6c\uac00 \uc6d0\ud558\ub294 \uacfc\uc77c\uc758 \uc885\ub958\uac00 \ub2e4\ub974\ub2e4.<\/p>\r\n\r\n<p>\uc608\uc81c 6: \uac00\uc9d3\uc218\uac00 \ub9e4\uc6b0 \ucee4\uc9c8 \uc218 \uc788\uc73c\ubbc0\ub85c $10^9+7$\ub85c \ub098\ub208 \ub098\uba38\uc9c0\ub97c \ucd9c\ub825\ud574\uc57c\ud568\uc5d0 \uc720\uc758\ud558\uc790.<\/p>\r\n"},{"problem_id":"25218","problem_lang":"1","title":"Cutting Cake","description":"<p>Alice and Bob baked a fruit cake together. The cake is like a rectangle of size $R \\times C$ where each $1 \\times 1$ block either&nbsp;contains one fruit topping (out of strawberries&nbsp;(<code>S<\/code>), blueberries (<code>B<\/code>), or raspberries (<code>R<\/code>)) or is covered with cream but no toppings (<code>.<\/code>).<\/p>\r\n\r\n<p>For instance, the image below shows a cake of size $2 \\times 2$.<\/p>\r\n\r\n<ul>\r\n\t<li>The top-left block at $(1, 1)$ contains strawberries (<code>S<\/code>), and the top-right block at $(1, 2)$ has no toppings but just cream.<\/li>\r\n\t<li>The bottom-left block at $(2, 1)$ contains blueberries (<code>B<\/code>), and the bottom-right at $(2, 2)$ raspberries (<code>R<\/code>).<\/li>\r\n<\/ul>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/f83e731c-7219-4459-9704-f8f45b0688ec\/-\/preview\/\" style=\"height: 79px; width: 80px;\" \/><\/p>\r\n\r\n<p>Bob wants to cut this cake $N-1$ times (either horizontally or vertically each time) to obtain $N$ smaller pieces which can be given to their friends. Bob must cut the cake exactly $N-1$ times, according to the following rules:<\/p>\r\n\r\n<ul>\r\n\t<li>While cutting $N-1$ times: Bob must cut the current (rectangular) cake piece either horizontally (from left to right) or vertically (from top to bottom) completely so that it results in two (rectangular)&nbsp;cake pieces. Each cake piece must be of size at least $1 \\times 1$.\r\n\t<ul>\r\n\t\t<li>If the $i$-th cut was done horizontally, then the upper cake piece must be given to the $i$-th friend, and the lower cake piece must be used in the next cutting phase.<\/li>\r\n\t\t<li>If the $i$-th cut was done vertically, then the left cake piece must be given to the $i$-th friend, and the right cake piece must be used in the next cutting phase.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n\t<li>After the $N-1$ cut is made, the remaining piece must be given to the $N$-th friend as-is. Hence, the original $R \\times C$ cake must be given to $N$ friends with no leftovers.<\/li>\r\n<\/ul>\r\n\r\n<p>Alice knows which fruit is&nbsp;each friend&#39;s favorite, she wants to ensure that each friend would receive a cake piece with at least one block containing their favorite fruit toppings.&nbsp;<em>Nonetheless, the cake pieces must be given to $N$ friends in the exact order as stated above.<\/em><\/p>\r\n\r\n<p>For instance, suppose $N = 3$ and the three friends like strawberries (<code>S<\/code>), blueberries (<code>B<\/code>), and raspberries (<code>R<\/code>) in this order. In this case, Bob must cut the $2 \\times 2$&nbsp;cake from&nbsp;above twice (to obtain three pieces), and there are two ways that adhere to the rules above.<\/p>\r\n\r\n<table class=\"table table-bordered\">\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td>Method 1<\/td>\r\n\t\t\t<td>\r\n\t\t\t<p><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/34cdaa18-3de0-4be4-abf4-6356c94474bc\/-\/preview\/\" style=\"height: 107px; width: 100px;\" \/><\/p>\r\n\r\n\t\t\t<p>1st cut: Horizontal cut<\/p>\r\n\r\n\t\t\t<p>Friend #$1$ will receive the <strong>upper<\/strong> piece (of size $1 \\times&nbsp;2$) that contains strawberries.<\/p>\r\n\r\n\t\t\t<p>The <strong>lower<\/strong> piece (of size $1 \\times 2$) will be given to friends #$2$ and #$3$.<\/p>\r\n\t\t\t<\/td>\r\n\t\t\t<td>\r\n\t\t\t<p><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/06395d4c-fd37-4b21-b3f6-6817ac0b85f6\/-\/preview\/\" style=\"height: 49px; width: 100px;\" \/><\/p>\r\n\r\n\t\t\t<p>2nd cut: Vertical cut<\/p>\r\n\r\n\t\t\t<p>The $1 \\times 2$ cake piece will be cut vertically, and the left piece with blueberries will be given to friend #$2$ and the right piece to friend #$3$.<\/p>\r\n\t\t\t<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>Method 2<\/td>\r\n\t\t\t<td><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/0e015d22-77cf-4164-bc66-f8cfe479b61e\/-\/preview\/\" style=\"height: 88px; width: 100px;\" \/>\r\n\t\t\t<p>1st cut: Vertical cut<\/p>\r\n\r\n\t\t\t<p>According to the rules, the <strong>left<\/strong> piece will be given to friend #$1$, which contains strawberries and blueberries.<\/p>\r\n\r\n\t\t\t<p>The <strong>right<\/strong> piece will be given to friends #$2$ and #$3$.<\/p>\r\n\t\t\t<\/td>\r\n\t\t\t<td>\r\n\t\t\t<p><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/ebab1d1b-34f6-4efe-84e4-bbf6309c229d\/-\/preview\/\" style=\"height: 101px; width: 50px;\" \/><\/p>\r\n\r\n\t\t\t<p>2nd cut: Horizontal cut<\/p>\r\n\r\n\t\t\t<p>The $2 \\times 1$ cake piece will be cut horizontally, and the upper piece with just cream (<code>.<\/code>) will be given to friend #$2$ and the bottom piece with raspberries (<code>R<\/code>) will be given to friend #$3$.<\/p>\r\n\t\t\t<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>Among these two methods, the first method is the only one where all $3$ friends receive a cake piece that contains their respective favorite fruit.<\/p>\r\n\r\n<p>Given the cake&#39;s size and which blocks contain fruit toppings as well as which fruits the friends like, compute the number of different ways to cut the cake while meeting all rules and satisfying all friends.<\/p>\r\n","input":"<p>The first line of the input will contain $T$, the number of test cases.<\/p>\r\n\r\n<p>Each test case will begin with the first line containing $R$, $C$, and $N$ separated by whitespace. Each of the next $R$ lines will contain a string of length $C$ (let $U[i]$ be the string given in the $i$-th line), which describes which toppings are on the cake (or no toppings are on it). The $(R+2)$-th line will contain a string of length $N$, describing which fruit the friends like.<\/p>\r\n","output":"<p>Output the number of ways to cut the cake to satisfy all $N$ friends (that is, each friend must receive a cake piece that contains their favorite fruit) while meeting the cake-cutting rules stated above.&nbsp; Since the answer can be quite large, output the answer modulo&nbsp;$10^9+7$.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English","limit":"<ul>\r\n\t<li>$1 &le; T &le; 10$<\/li>\r\n\t<li>$1 &le; R, C &le; 100$<\/li>\r\n\t<li>$1 &le; N &le; \\min{(10, R + C - 1)}$<\/li>\r\n\t<li>Each string&nbsp;describing the cake&#39;s toppings ($U[1]$, $\\dots$, $U[R]$) will be of length $C$ each, and each character will be&nbsp;one of &#39;<code>S<\/code>&#39;, &#39;<code>B<\/code>&#39;, &#39;<code>R<\/code>&#39;, and &#39;<code>.<\/code>&#39;.<\/li>\r\n\t<li>The string describing the $N$ friends&#39; favorite fruits will be of length $N$ and each character will be one of &#39;<code>S<\/code>&#39;, &#39;<code>B<\/code>&#39;, and &#39;<code>R<\/code>&#39;.<\/li>\r\n<\/ul>\r\n","sample_explain_1":"<p>Case 1: Discussed in the problem statement.<\/p>\r\n\r\n<p>Case 2: The cake is the same as the one in Case 1, but the favorite fruits of friends are different.<\/p>\r\n\r\n<p>Case 6: Note that the answer can be very large, so you must output the answer modulo $10^9+7$.<\/p>\r\n"}]

시간 제한

  • Java 8: 3 초
  • Python 3: 7 초
  • PyPy3: 7 초
  • Java 8 (OpenJDK): 3 초
  • Java 11: 3 초
  • Kotlin (JVM): 3 초
  • Java 15: 3 초

Baekjoon Online Judge

채점 현황

문제

유저 대회

고등학교 대회

출처

대학교 대회

도움말

© 2023 All Rights Reserved. 주식회사 스타트링크 | 서비스 약관 | 개인정보 보호 | 결제 이용 약관 | 도움말 | 광고 문의 | 업데이트 노트 | 이슈 | TODO

  • 사업자 등록 번호: 541-88-00682
  • 대표자명: 최백준
  • 주소: 서울시 서초구 서초대로74길 29 서초파라곤 412호
  • 전화번호: 02-521-0487 (이메일로 연락 주세요)
  • 이메일: contacts@startlink.io
  • 통신판매신고번호: 제 2017-서울서초-2193 호

한국어 | English (Beta)