문제
노노그램은 직사각형 격자를 규칙에 맞게 색칠하는 퍼즐 게임이다. 격자의 각 행과 열에는 양의 정수의 배열이 힌트로 주어지는데, 이는 각 행 또는 열에서 연속한 칠해진 칸의 배열을 나타낸다.
예를 들어 위의 왼쪽 그림을 보자. 4행에 있는 힌트 $[10]$은 해당 행에서 연속한 10ドル$칸을 색칠해야 함을 나타낸다. 색칠할 10ドル$칸은 아무 곳에서나 시작해도 되고, 그 외의 칸은 비워 놔야 한다.
이번에는 9행에 있는 힌트 $[3,4,4]$에 주목하자. 이는 해당 행에서 순서대로 3ドル$칸, 4ドル$칸, 4ドル$칸의 연속한 칸을 색칠해야 함을 나타낸다. 힌트의 순서와 칠해진 칸의 순서는 일치해야 하며, 각 연속한 칠해진 칸 사이에는 하나 이상의 빈 칸이 있어야 한다.
이해를 돕기 위해 위의 오른쪽 그림에는 4행과 9행만 남겨 두었다.
윤이는 노노그램을 풀면서 반드시 색칠해야 하는 칸과 비워 둬야 하는 칸 몇 개를 알아냈지만, 더 이상 진행이 되지 않아 애를 쓰고 있다. 방법을 고민하던 윤이는 문득 어떤 행 하나에 대해서 조건에 맞게 색칠하는 경우의 수가 궁금해졌다. 행의 힌트와 행의 각 칸에 대해 윤이가 알아낸 정보가 주어지면, 해당 행을 조건에 맞게 색칠하는 경우의 수를 구하시오.
출력
조건에 맞게 행을 색칠하는 경우의 수를 10ドル^9+7$로 나눈 나머지를 출력한다.
조건에 맞게 행을 색칠하는 방법을 나열하면 다음과 같다.
OOX..XOOO.
OOX..X.OOO
..XOOXOOO.
..XOOX.OOO
노트
본문에 제공된 노노그램의 출처는 이곳이다. https://www.nonograms.org/nonograms/i/28098
[{"problem_id":"26127","problem_lang":"0","title":"\ub178\ub178\uadf8\ub7a8","description":"<p>\ub178\ub178\uadf8\ub7a8\uc740 \uc9c1\uc0ac\uac01\ud615 \uaca9\uc790\ub97c \uaddc\uce59\uc5d0 \ub9de\uac8c \uc0c9\uce60\ud558\ub294 \ud37c\uc990 \uac8c\uc784\uc774\ub2e4. \uaca9\uc790\uc758 \uac01 \ud589\uacfc \uc5f4\uc5d0\ub294 \uc591\uc758 \uc815\uc218\uc758 \ubc30\uc5f4\uc774 \ud78c\ud2b8\ub85c \uc8fc\uc5b4\uc9c0\ub294\ub370, \uc774\ub294 \uac01 \ud589 \ub610\ub294 \uc5f4\uc5d0\uc11c \uc5f0\uc18d\ud55c \uce60\ud574\uc9c4 \uce78\uc758 \ubc30\uc5f4\uc744 \ub098\ud0c0\ub0b8\ub2e4.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/9d46e134-7699-434a-89fa-73f51b358770\/\" style=\"max-width: 100%; width: 300px;\" \/> <img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/b2891056-e5a8-4ab9-a2ad-0ee75aa06a2a\/\" style=\"max-width: 100%; width: 300px;\" \/><\/p>\r\n\r\n<p>\uc608\ub97c \ub4e4\uc5b4 \uc704\uc758 \uc67c\ucabd \uadf8\ub9bc\uc744 \ubcf4\uc790. 4\ud589\uc5d0 \uc788\ub294 \ud78c\ud2b8 $[10]$\uc740 \ud574\ub2f9 \ud589\uc5d0\uc11c \uc5f0\uc18d\ud55c $10$\uce78\uc744 \uc0c9\uce60\ud574\uc57c \ud568\uc744 \ub098\ud0c0\ub0b8\ub2e4. \uc0c9\uce60\ud560 $10$\uce78\uc740 \uc544\ubb34 \uacf3\uc5d0\uc11c\ub098 \uc2dc\uc791\ud574\ub3c4 \ub418\uace0, \uadf8 \uc678\uc758 \uce78\uc740 \ube44\uc6cc \ub194\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc774\ubc88\uc5d0\ub294 9\ud589\uc5d0 \uc788\ub294 \ud78c\ud2b8 $[3,4,4]$\uc5d0 \uc8fc\ubaa9\ud558\uc790. \uc774\ub294 \ud574\ub2f9 \ud589\uc5d0\uc11c \uc21c\uc11c\ub300\ub85c $3$\uce78, $4$\uce78, $4$\uce78\uc758 \uc5f0\uc18d\ud55c \uce78\uc744 \uc0c9\uce60\ud574\uc57c \ud568\uc744 \ub098\ud0c0\ub0b8\ub2e4. \ud78c\ud2b8\uc758 \uc21c\uc11c\uc640 \uce60\ud574\uc9c4 \uce78\uc758 \uc21c\uc11c\ub294 \uc77c\uce58\ud574\uc57c \ud558\uba70, \uac01 \uc5f0\uc18d\ud55c \uce60\ud574\uc9c4 \uce78 \uc0ac\uc774\uc5d0\ub294 \ud558\ub098 \uc774\uc0c1\uc758 \ube48 \uce78\uc774 \uc788\uc5b4\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc774\ud574\ub97c \ub3d5\uae30 \uc704\ud574 \uc704\uc758 \uc624\ub978\ucabd \uadf8\ub9bc\uc5d0\ub294 4\ud589\uacfc 9\ud589\ub9cc \ub0a8\uaca8 \ub450\uc5c8\ub2e4.<\/p>\r\n\r\n<p>\uc724\uc774\ub294 \ub178\ub178\uadf8\ub7a8\uc744 \ud480\uba74\uc11c \ubc18\ub4dc\uc2dc \uc0c9\uce60\ud574\uc57c \ud558\ub294 \uce78\uacfc \ube44\uc6cc \ub46c\uc57c \ud558\ub294 \uce78 \uba87 \uac1c\ub97c \uc54c\uc544\ub0c8\uc9c0\ub9cc, \ub354 \uc774\uc0c1 \uc9c4\ud589\uc774 \ub418\uc9c0 \uc54a\uc544 \uc560\ub97c \uc4f0\uace0 \uc788\ub2e4. \ubc29\ubc95\uc744 \uace0\ubbfc\ud558\ub358 \uc724\uc774\ub294 \ubb38\ub4dd \uc5b4\ub5a4 \ud589 \ud558\ub098\uc5d0 \ub300\ud574\uc11c \uc870\uac74\uc5d0 \ub9de\uac8c \uc0c9\uce60\ud558\ub294 \uacbd\uc6b0\uc758 \uc218\uac00 \uad81\uae08\ud574\uc84c\ub2e4. \ud589\uc758 \ud78c\ud2b8\uc640 \ud589\uc758 \uac01 \uce78\uc5d0 \ub300\ud574 \uc724\uc774\uac00 \uc54c\uc544\ub0b8 \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc9c0\uba74, \ud574\ub2f9 \ud589\uc744 \uc870\uac74\uc5d0 \ub9de\uac8c \uc0c9\uce60\ud558\ub294 \uacbd\uc6b0\uc758 \uc218\ub97c \uad6c\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab \ubc88\uc9f8 \uc904\uc5d0 \ud589\uc758 \uae38\uc774 $N$\uacfc \ud78c\ud2b8 \ubc30\uc5f4\uc758 \uae38\uc774 $K$\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. ($1\\le K\\le N\\le 3\\ 000$)<\/p>\r\n\r\n<p>\ub450 \ubc88\uc9f8 \uc904\uc5d0 \ud78c\ud2b8\ub97c \ub098\ud0c0\ub0b4\ub294 $K$\uac1c\uc758 \uc815\uc218\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \uc815\uc218\ub294 $1$ \uc774\uc0c1 $N$ \uc774\ud558\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc138 \ubc88\uc9f8 \uc904\uc5d0 \ud589\uc758 \uc815\ubcf4\ub97c \ub098\ud0c0\ub0b4\ub294 \uae38\uc774 $N$\uc758 \ubb38\uc790\uc5f4\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \ubb38\uc790\uc5f4\uc740 <code>&lsquo;.&rsquo;<\/code>, <code>&lsquo;O&rsquo;<\/code>, \ub610\ub294 <code>&lsquo;X&rsquo;<\/code>\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\uc73c\uba70, <code>&lsquo;.&rsquo;<\/code>\uc740 \uc544\uc9c1 \uc815\ubcf4\ub97c \uc5bb\uc9c0 \ubabb\ud55c \ube48 \uce78, <code>&lsquo;O&rsquo;<\/code>\ub294 \ubc18\ub4dc\uc2dc \uc0c9\uce60\ud574\uc57c \ud558\ub294 \uce78, <code>&lsquo;X&rsquo;<\/code>\ub294 \ubc18\ub4dc\uc2dc \ube44\uc6cc \ub46c\uc57c \ud558\ub294 \uce78\uc744 \ub098\ud0c0\ub0b8\ub2e4.<\/p>\r\n","output":"<p>\uc870\uac74\uc5d0 \ub9de\uac8c \ud589\uc744 \uc0c9\uce60\ud558\ub294 \uacbd\uc6b0\uc758 \uc218\ub97c $10^9+7$\ub85c \ub098\ub208 \ub098\uba38\uc9c0\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"<p>\ubcf8\ubb38\uc5d0 \uc81c\uacf5\ub41c \ub178\ub178\uadf8\ub7a8\uc758 \ucd9c\ucc98\ub294 \uc774\uacf3\uc774\ub2e4. https:\/\/www.nonograms.org\/nonograms\/i\/28098<\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"Korean","sample_explain_1":"<p>\uc870\uac74\uc5d0 \ub9de\uac8c \ud589\uc744 \uc0c9\uce60\ud558\ub294 \ubc29\ubc95\uc744 \ub098\uc5f4\ud558\uba74 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li><code>OOX..XOOO.<\/code><\/li>\r\n\t<li><code>OOX..X.OOO<\/code><\/li>\r\n\t<li><code>..XOOXOOO.<\/code><\/li>\r\n\t<li><code>..XOOX.OOO<\/code><\/li>\r\n<\/ul>\r\n"},{"problem_id":"26127","problem_lang":"1","title":"Nonogram","description":"<p>Nonogram is a puzzle game in which you color a rectangular grid according to the following rules. For each row and column of the grid, an array of positive integers is given as a hint. The hint represents the number of consecutive colored cells in each row or column.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/9d46e134-7699-434a-89fa-73f51b358770\/\" style=\"max-width: 100%; width: 300px;\" \/> <img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/b2891056-e5a8-4ab9-a2ad-0ee75aa06a2a\/\" style=\"max-width: 100%; width: 300px;\" \/><\/p>\r\n\r\n<p>For example, take a look at the left figure above. The hint $[10]$ on the 4th row indicates that you have to color $10$ consecutive cells in the row. The $10$ cells to be colored can start anywhere, and the other cells must remain empty.<\/p>\r\n\r\n<p>This time, notice the hint $[3,4,4]$ on the 9th row. This indicates that you must color $3$, $4$, and $4$ consecutive cells in order in the row. The order of the hint and the order of consecutive colored cells must match, and there must be at least one empty cell between two consecutive colored cells.<\/p>\r\n\r\n<p>To help better understand, only the 4th and 9th rows are left in the right figure above.<\/p>\r\n\r\n<p>Yunee is solving a Nonogram and has figured out some cells that must be colored and cells that must remain empty. However, Yunee is struggling to progress any further. While trying various methods, Yunee began wondering about the number of possible ways to fill a row according to the hint. Given the hint for a row and the information about each cell in the row, find the number of ways to fill the row according to the hint.<\/p>\r\n","input":"<p>The first line gives the row length $N$ and the hint array length $K$. ($1\\le K\\le N\\le 3\\ 000$)<\/p>\r\n\r\n<p>The second line gives $K$ integers representing the hint for the row. Each integer ranges from $1$ to $N$, inclusive.<\/p>\r\n\r\n<p>The third line gives a string of length $N$ representing the information of the row. The string consists of characters <code>&lsquo;.&rsquo;<\/code>, <code>&lsquo;O&rsquo;<\/code>, or <code>&lsquo;X&rsquo;<\/code>. <code>&lsquo;.&rsquo;<\/code> represents an empty cell without any information, <code>&lsquo;O&rsquo;<\/code> represents a cell to be colored, and <code>&lsquo;X&rsquo;<\/code> represents a cell that must remain empty.<\/p>\r\n","output":"<p>Print the number of ways to fill the row, modulo $10^9+7$.<\/p>\r\n","hint":"<p>Here is the source of the Nonogram image used in the problem.<\/p>\r\n\r\n<p>https:\/\/www.nonograms.org\/nonograms\/i\/28098<\/p>\r\n","original":"0","html_title":"0","problem_lang_tcode":"English","sample_explain_1":"<p>There are four ways to fill the row, as follows.<\/p>\r\n\r\n<ul>\r\n\t<li><code>OOX..XOOO.<\/code><\/li>\r\n\t<li><code>OOX..X.OOO<\/code><\/li>\r\n\t<li><code>..XOOXOOO.<\/code><\/li>\r\n\t<li><code>..XOOX.OOO<\/code><\/li>\r\n<\/ul>\r\n"}]