시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 256 MB 268 132 118 50.000%

문제

다른 소들과 마찬가지로 베시는 십자말풀이 퍼즐을 푸는 것을 좋아한다. 하지만 그녀의 누나 엘시는 베시의 십자말풀이 퍼즐책에 우유를 쏟아 글자들을 더럽혀 베시가 각 힌트가 어디서 시작하는지 알기 힘들게 만들어 놓았다. 베시를 도와 각 힌트의 번호를 알아내자!

아무런 표기가 되어있지 않은 N X M 격자의 십자말풀이가 주어질 것이다(3 <= N <= 50, 3 <= M <= 50). 어떤 칸들은 비어 있을 것이고(하얗게 칠해진) 그리고 어떤 칸들은 막혀있을 것이다(검정색으로 칠해진). 이런 격자에서 힌트의 번호를 알아내는 것은 다음과 같은 두 가지 간단한 단계를 거친다.

단계 1: 우리는 먼저 각 칸이 세로로 이어지는 단서의 시작점인지 가로로 이어지는 단서의 시작점인지 알아낼 것이다. 만약 그 칸이 가로로 이어지는 단서의 시작점이면 그 칸은 비어있으면서 왼쪽 칸이 막혀있거나 격자 밖이어야 하고, 오른쪽에 있는 두 개 이상의 칸은 비어있어야한다(가로로 이어지는 말은 3글자 이상이라는 것을 알 수 있다). 만약 그 칸이 세로로 이어지는 단서의 시작점일 경우에도 비슷하다 : 그 칸은 비어있으면서 그 위의 칸은 막혀있거나 격자의 바깥이며, 아래로 두 개이상의 칸은 비어있어야 한다.

단계 2 : 이제 단서의 시작점에 해당하는 칸마다 번호를 매길 것이다. 번호는 책을 읽는 순서와 동일하게 왼쪽 위부터 오른쪽 아래까지 행 우선으로 순서대로 매긴다.

...
#..
...
..#
.##

어떤 단서의 시작이 되는 칸은 !로 되어있다.

!!!
#..
!..
..#
.##

여기에다 숫자를 매기게되면 다음과 같아진다.

123
#..
4..
..#
.##

아래에 나오는 입력은 보통 출판되는 십자말풀이 퍼즐의 규칙을 따르지 않는다는 것을 기억해둬라. 예를 들어 어떤 비어있는 칸들은 어떠한 단서들에도 포함 안될 수도 있다.

입력

첫줄의 입력은 N과 M이 공백을 두고 주어진다.

다음 N줄에는 격자의 각 행들의 입력이 이루어진다. 각 행은 M개의 문자를 포함하고 있으며 각 문자는 '.'(비어있는 칸)이거나 '#'(막혀있는 칸)이다.

출력

출력의 첫 줄에는 단서들의 수를 출력한다.

다른 줄에는 각 힌트들의 시작 위치의 칸을 (행,열)의 꼴로 출력한다. 맨위 왼쪽칸은 (1,1)이고 맨 아래 오른쪽 칸은 (N,M)이다.

출력하는 순서는 위에서 설명한대로 번호를 매긴 순서로 한다.

예제 입력 1

5 3
...
#..
...
..#
.##

예제 출력 1

4
1 1
1 2
1 3
3 1
[{"problem_id":"10656","problem_lang":"0","title":"\uc2ed\uc790\ub9d0\ud480\uc774","description":"<p>\ub2e4\ub978 \uc18c\ub4e4\uacfc \ub9c8\ucc2c\uac00\uc9c0\ub85c \ubca0\uc2dc\ub294 \uc2ed\uc790\ub9d0\ud480\uc774 \ud37c\uc990\uc744 \ud478\ub294 \uac83\uc744 \uc88b\uc544\ud55c\ub2e4. \ud558\uc9c0\ub9cc \uadf8\ub140\uc758 \ub204\ub098 \uc5d8\uc2dc\ub294 \ubca0\uc2dc\uc758 \uc2ed\uc790\ub9d0\ud480\uc774 \ud37c\uc990\ucc45\uc5d0 \uc6b0\uc720\ub97c \uc3df\uc544 \uae00\uc790\ub4e4\uc744 \ub354\ub7fd\ud600&nbsp;\ubca0\uc2dc\uac00 \uac01 \ud78c\ud2b8\uac00 \uc5b4\ub514\uc11c \uc2dc\uc791\ud558\ub294\uc9c0 \uc54c\uae30 \ud798\ub4e4\uac8c \ub9cc\ub4e4\uc5b4 \ub193\uc558\ub2e4. \ubca0\uc2dc\ub97c \ub3c4\uc640 \uac01 \ud78c\ud2b8\uc758 \ubc88\ud638\ub97c \uc54c\uc544\ub0b4\uc790!<\/p>\r\n\r\n<p>\uc544\ubb34\ub7f0&nbsp;\ud45c\uae30\uac00 \ub418\uc5b4\uc788\uc9c0 \uc54a\uc740 N X M \uaca9\uc790\uc758 \uc2ed\uc790\ub9d0\ud480\uc774\uac00 \uc8fc\uc5b4\uc9c8 \uac83\uc774\ub2e4(3 &lt;= N &lt;= 50, 3 &lt;= M &lt;= 50). \uc5b4\ub5a4 \uce78\ub4e4\uc740&nbsp;\ube44\uc5b4&nbsp;\uc788\uc744 \uac83\uc774\uace0(\ud558\uc597\uac8c \uce60\ud574\uc9c4) \uadf8\ub9ac\uace0 \uc5b4\ub5a4 \uce78\ub4e4\uc740 \ub9c9\ud600\uc788\uc744 \uac83\uc774\ub2e4(\uac80\uc815\uc0c9\uc73c\ub85c \uce60\ud574\uc9c4). \uc774\ub7f0 \uaca9\uc790\uc5d0\uc11c \ud78c\ud2b8\uc758 \ubc88\ud638\ub97c \uc54c\uc544\ub0b4\ub294 \uac83\uc740 \ub2e4\uc74c\uacfc \uac19\uc740 \ub450&nbsp;\uac00\uc9c0 \uac04\ub2e8\ud55c \ub2e8\uacc4\ub97c \uac70\uce5c\ub2e4.<\/p>\r\n\r\n<p>\ub2e8\uacc4 1: \uc6b0\ub9ac\ub294 \uba3c\uc800 \uac01 \uce78\uc774&nbsp;\uc138\ub85c\ub85c \uc774\uc5b4\uc9c0\ub294 \ub2e8\uc11c\uc758 \uc2dc\uc791\uc810\uc778\uc9c0&nbsp;\uac00\ub85c\ub85c \uc774\uc5b4\uc9c0\ub294 \ub2e8\uc11c\uc758 \uc2dc\uc791\uc810\uc778\uc9c0&nbsp;\uc54c\uc544\ub0bc \uac83\uc774\ub2e4. \ub9cc\uc57d \uadf8 \uce78\uc774 \uac00\ub85c\ub85c \uc774\uc5b4\uc9c0\ub294 \ub2e8\uc11c\uc758 \uc2dc\uc791\uc810\uc774\uba74&nbsp;\uadf8 \uce78\uc740 \ube44\uc5b4\uc788\uc73c\uba74\uc11c&nbsp;\uc67c\ucabd \uce78\uc774 \ub9c9\ud600\uc788\uac70\ub098 \uaca9\uc790 \ubc16\uc774\uc5b4\uc57c \ud558\uace0, \uc624\ub978\ucabd\uc5d0 \uc788\ub294 \ub450 \uac1c \uc774\uc0c1\uc758 \uce78\uc740 \ube44\uc5b4\uc788\uc5b4\uc57c\ud55c\ub2e4(\uac00\ub85c\ub85c \uc774\uc5b4\uc9c0\ub294 \ub9d0\uc740 3\uae00\uc790 \uc774\uc0c1\uc774\ub77c\ub294 \uac83\uc744 \uc54c \uc218 \uc788\ub2e4). \ub9cc\uc57d \uadf8 \uce78\uc774 \uc138\ub85c\ub85c \uc774\uc5b4\uc9c0\ub294 \ub2e8\uc11c\uc758 \uc2dc\uc791\uc810\uc77c \uacbd\uc6b0\uc5d0\ub3c4 \ube44\uc2b7\ud558\ub2e4 : \uadf8 \uce78\uc740 \ube44\uc5b4\uc788\uc73c\uba74\uc11c \uadf8 \uc704\uc758 \uce78\uc740 \ub9c9\ud600\uc788\uac70\ub098 \uaca9\uc790\uc758 \ubc14\uae65\uc774\uba70, \uc544\ub798\ub85c \ub450 \uac1c\uc774\uc0c1\uc758 \uce78\uc740 \ube44\uc5b4\uc788\uc5b4\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub2e8\uacc4 2 : \uc774\uc81c \ub2e8\uc11c\uc758 \uc2dc\uc791\uc810\uc5d0 \ud574\ub2f9\ud558\ub294 \uce78\ub9c8\ub2e4 \ubc88\ud638\ub97c \ub9e4\uae38 \uac83\uc774\ub2e4. \ubc88\ud638\ub294 \ucc45\uc744 \uc77d\ub294 \uc21c\uc11c\uc640 \ub3d9\uc77c\ud558\uac8c \uc67c\ucabd \uc704\ubd80\ud130 \uc624\ub978\ucabd \uc544\ub798\uae4c\uc9c0 \ud589 \uc6b0\uc120\uc73c\ub85c \uc21c\uc11c\ub300\ub85c \ub9e4\uae34\ub2e4.<\/p>\r\n\r\n<pre>\r\n...\r\n#..\r\n...\r\n..#\r\n.##<\/pre>\r\n\r\n<p>\uc5b4\ub5a4 \ub2e8\uc11c\uc758 \uc2dc\uc791\uc774 \ub418\ub294 \uce78\uc740 !\ub85c \ub418\uc5b4\uc788\ub2e4.<\/p>\r\n\r\n<pre>\r\n!!!\r\n#..\r\n!..\r\n..#\r\n.##<\/pre>\r\n\r\n<p>\uc5ec\uae30\uc5d0\ub2e4 \uc22b\uc790\ub97c \ub9e4\uae30\uac8c\ub418\uba74 \ub2e4\uc74c\uacfc \uac19\uc544\uc9c4\ub2e4.<\/p>\r\n\r\n<pre>\r\n123\r\n#..\r\n4..\r\n..#\r\n.##<\/pre>\r\n\r\n<p>\uc544\ub798\uc5d0 \ub098\uc624\ub294 \uc785\ub825\uc740 \ubcf4\ud1b5 \ucd9c\ud310\ub418\ub294 \uc2ed\uc790\ub9d0\ud480\uc774 \ud37c\uc990\uc758 \uaddc\uce59\uc744 \ub530\ub974\uc9c0 \uc54a\ub294\ub2e4\ub294 \uac83\uc744 \uae30\uc5b5\ud574\ub46c\ub77c. \uc608\ub97c \ub4e4\uc5b4 \uc5b4\ub5a4 \ube44\uc5b4\uc788\ub294 \uce78\ub4e4\uc740 \uc5b4\ub5a0\ud55c \ub2e8\uc11c\ub4e4\uc5d0\ub3c4 \ud3ec\ud568 \uc548\ub420 \uc218\ub3c4 \uc788\ub2e4.<\/p>\r\n","input":"<p>\uccab\uc904\uc758 \uc785\ub825\uc740 N\uacfc M\uc774 \uacf5\ubc31\uc744 \ub450\uace0 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c N\uc904\uc5d0\ub294 \uaca9\uc790\uc758 \uac01 \ud589\ub4e4\uc758 \uc785\ub825\uc774 \uc774\ub8e8\uc5b4\uc9c4\ub2e4. \uac01 \ud589\uc740 M\uac1c\uc758 \ubb38\uc790\ub97c \ud3ec\ud568\ud558\uace0 \uc788\uc73c\uba70 \uac01 \ubb38\uc790\ub294 &#39;.&#39;(\ube44\uc5b4\uc788\ub294 \uce78)\uc774\uac70\ub098 &#39;#&#39;(\ub9c9\ud600\uc788\ub294 \uce78)\uc774\ub2e4.<\/p>\r\n","output":"<p>\ucd9c\ub825\uc758 \uccab \uc904\uc5d0\ub294 \ub2e8\uc11c\ub4e4\uc758 \uc218\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\ub978 \uc904\uc5d0\ub294 \uac01 \ud78c\ud2b8\ub4e4\uc758 \uc2dc\uc791 \uc704\uce58\uc758 \uce78\uc744&nbsp;(\ud589,\uc5f4)\uc758 \uaf34\ub85c \ucd9c\ub825\ud55c\ub2e4. \ub9e8\uc704 \uc67c\ucabd\uce78\uc740 (1,1)\uc774\uace0 \ub9e8 \uc544\ub798 \uc624\ub978\ucabd \uce78\uc740 (N,M)\uc774\ub2e4.<\/p>\r\n\r\n<p>\ucd9c\ub825\ud558\ub294 \uc21c\uc11c\ub294 \uc704\uc5d0\uc11c \uc124\uba85\ud55c\ub300\ub85c \ubc88\ud638\ub97c \ub9e4\uae34 \uc21c\uc11c\ub85c \ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"10656","problem_lang":"1","title":"Crosswords","description":"<p>Like all cows, Bessie the cow likes to solve crossword puzzles. Unfortunately, her sister Elsie has spilled milk all over her book of crosswords, smearing the text and making it difficult for her to see where each clue begins. &nbsp;It&#39;s your job to help Bessie out and recover the clue numbering!<\/p>\r\n\r\n<p>An unlabeled crossword is given to you as an N by M grid (3 &lt;= N &lt;= 50, 3 &lt;= M &lt;= 50). &nbsp;Some cells will be clear (typically colored white) and some cells will be blocked (typically colored black). Given this layout, clue numbering is a simple process which follows two logical steps:<\/p>\r\n\r\n<p>Step 1: We determine if a each cell begins a horizontal or vertical clue. &nbsp;If a cell begins a horizontal clue, it must be clear, its neighboring cell to the left must be blocked or outside the crossword grid, and the two cells on its right must be clear (that is, a horizontal clue can only represent a word of 3 or more characters).The rules for a cell beginning a vertical clue are analogous: the cell above must be blocked or outside the grid, and the two cells below must be clear.<\/p>\r\n\r\n<p>Step 2: We assign a number to each cell that begins a clue. &nbsp;Cells are assigned numbers sequentially starting with 1 in the same order that you would read a book; cells in the top row are assigned numbers from left to right, then the second row, etc. &nbsp;Only cells beginning a clue are assigned numbers.<\/p>\r\n\r\n<p>For example, consider the grid, where &#39;.&#39; indicates a clear cell and &#39;#&#39; a blocked cell.<\/p>\r\n\r\n<pre>\r\n...\r\n#..\r\n...\r\n..#\r\n.##<\/pre>\r\n\r\n<p>Cells that can begin a horizontal or vertical clue are marked with ! below:<\/p>\r\n\r\n<pre>\r\n!!!\r\n#..\r\n!..\r\n..#\r\n.##<\/pre>\r\n\r\n<p>If we assign numbers to these cells, we get the following;<\/p>\r\n\r\n<pre>\r\n123\r\n#..\r\n4..\r\n..#\r\n.##<\/pre>\r\n\r\n<p>Note that crossword described in the input data may not satisfy constraints typically seen in published crosswords. &nbsp;For example, some clear cells may not be part of any clue.<\/p>\r\n","input":"<p>The first line of input contains N and M separated by a space.<\/p>\r\n\r\n<p>The next N lines of input each describe a row of the grid. &nbsp;Each contains M characters, which are either &#39;.&#39; (a clear cell) or &#39;#&#39; (a blocked cell).<\/p>\r\n","output":"<p>On the first line of output, print the number of clues.<\/p>\r\n\r\n<p>On the each remaining line, print the row and column giving the position of a single clue (ordered as described above). &nbsp;The top left cell has position (1, 1). &nbsp;The bottom right cell has position (N, M).<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_code":"\uc601\uc5b4"}]

출처

Olympiad > USA Computing Olympiad > 2014-2015 Season > USACO December 2014 Contest > Bronze 2번

  • 빠진 조건을 찾은 사람: Green55
  • 문제를 번역한 사람: shhj1998