시간 제한메모리 제한제출정답맞힌 사람정답 비율
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문제

용재는 애완 도마뱀들과 함께 던전을 돌다가 이상한 방에 입장했다. 건질 게 없나 주위를 둘러보던 용재는 뒤를 돌아보고 깜짝 놀랐다. 막내 도마뱀이 함정을 밟아 방의 바닥이 사라져버린 것이다! 밑에서는 불길이 올라오기 시작했고, 도마뱀들은 바닥이 사라지고 남은 기둥 위에 서 있다.

도마뱀들은 준서에게 빌린 것이기 때문에, 용재는 잃어버린 도마뱀의 수를 준서에게 보고해야 한다. 잃어버린 도마뱀의 수가 많을수록 준서가 더 많이 화를 낼 것이기 때문에, 용재는 가능한 많은 도마뱀을 탈출시켜 보고하는 수를 최소로 하고 싶다.

방을 \(N \times M\) 격자로 볼 때 한 칸에 최대 하나의 기둥이 존재한다. 도마뱀은 자신이 현재 위치한 기둥에서 맨해튼거리(\(|{n_i} - {n_j}| + |{m_i} - {m_j}|\))가 \(D\) 이내인 다른 기둥으로 도약할 수 있다. 도약한 도마뱀이 방 밖으로 빠져나오면 방을 탈출한 것으로 본다.

하지만 남아 있는 기둥들은 위태로워서, 버틸 수 있는 도약 횟수가 정해져 있다. 한 도마뱀이 어떤 기둥에서 도약하여 다른 기둥으로 갈 때, 기존 기둥은 점점 약해지고, 한계를 넘으면 무너져 내린다. 같은 시간 동안 하나의 기둥에는 최대 하나의 도마뱀만 서 있을 수 있다.

입력

첫 줄에는 테스트케이스의 개수 \(T(T \lt 25)\)가 입력된다. 각 테스트케이스의 첫 줄에는 방의 세로 크기 \(N\)과 도마뱀의 최대 도약거리 \(D(1 \le D \le 4)\)가 주어진다. 이어서 방의 정보가 각각 \(N\)개의 줄에 걸쳐서 두 번 주어진다. 처음 상태는 각각의 기둥이 버틸 수 있는 도약 횟수를 나타낸다. 한 기둥이 견딜 수 있는 도약 횟수는 최대 3번이며, 주어진 숫자가 0인 칸은 기둥이 존재하지 않는다. 두 번째는 도마뱀의 위치를 나타낸다. 도마뱀이 존재하는 칸은 'L'로, 이외의 칸은 '.'으로 표시되며, 기둥이 없는 곳에 도마뱀이 존재하는 경우는 없다.

모든 방의 크기는 \(N \times M\)의 직사각형이며, \(1 \le N, M \le 20\)이다.

출력

각각의 테스트 케이스마다 아래의 예제 출력의 형식에 따라 탈출하지 못하는 도마뱀의 수를 한 줄에 출력하라.

예제 입력 1

4
3 1
1111
1111
1111
LLLL
LLLL
LLLL
3 2
00000
01110
00000
.....
.LLL.
.....
3 1
00000
01110
00000
.....
.LLL.
.....
5 2
00000000
02000000
00321100
02000000
00000000
........
........
..LLLL..
........
........

예제 출력 1

Case #1: 2 lizards were left behind.
Case #2: no lizard was left behind.
Case #3: 3 lizards were left behind.
Case #4: 1 lizard was left behind.

힌트

주의 : 모든 길을 조사하는 Brute Force 방법의 경우, 주어진 시간을 초과할 수 있다.

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{n_j}| + |{m_i} - {m_j}|\\))\uac00 \\(D\\) \uc774\ub0b4\uc778 \ub2e4\ub978 \uae30\ub465\uc73c\ub85c \ub3c4\uc57d\ud560 \uc218 \uc788\ub2e4. \ub3c4\uc57d\ud55c \ub3c4\ub9c8\ubc40\uc774 \ubc29 \ubc16\uc73c\ub85c \ube60\uc838\ub098\uc624\uba74 \ubc29\uc744 \ud0c8\ucd9c\ud55c \uac83\uc73c\ub85c \ubcf8\ub2e4.<\/p>\r\n\r\n<p>\ud558\uc9c0\ub9cc \ub0a8\uc544 \uc788\ub294 \uae30\ub465\ub4e4\uc740 \uc704\ud0dc\ub85c\uc6cc\uc11c, \ubc84\ud2f8 \uc218 \uc788\ub294 \ub3c4\uc57d \ud69f\uc218\uac00 \uc815\ud574\uc838 \uc788\ub2e4. \ud55c \ub3c4\ub9c8\ubc40\uc774 \uc5b4\ub5a4 \uae30\ub465\uc5d0\uc11c \ub3c4\uc57d\ud558\uc5ec \ub2e4\ub978 \uae30\ub465\uc73c\ub85c \uac08 \ub54c, \uae30\uc874 \uae30\ub465\uc740 \uc810\uc810 \uc57d\ud574\uc9c0\uace0, \ud55c\uacc4\ub97c \ub118\uc73c\uba74 \ubb34\ub108\uc838 \ub0b4\ub9b0\ub2e4. \uac19\uc740 \uc2dc\uac04 \ub3d9\uc548 \ud558\ub098\uc758 \uae30\ub465\uc5d0\ub294 \ucd5c\ub300 \ud558\ub098\uc758 \ub3c4\ub9c8\ubc40\ub9cc \uc11c \uc788\uc744 \uc218 \uc788\ub2e4.<\/p>\r\n","input":"<p>\uccab \uc904\uc5d0\ub294 \ud14c\uc2a4\ud2b8\ucf00\uc774\uc2a4\uc758 \uac1c\uc218 \\(T(T \\lt 25)\\)\uac00 \uc785\ub825\ub41c\ub2e4. \uac01 \ud14c\uc2a4\ud2b8\ucf00\uc774\uc2a4\uc758 \uccab \uc904\uc5d0\ub294 \ubc29\uc758 \uc138\ub85c \ud06c\uae30 \\(N\\)\uacfc \ub3c4\ub9c8\ubc40\uc758 \ucd5c\ub300 \ub3c4\uc57d\uac70\ub9ac \\(D(1 \\le D \\le 4)\\)\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774\uc5b4\uc11c \ubc29\uc758 \uc815\ubcf4\uac00 \uac01\uac01 \\(N\\)\uac1c\uc758 \uc904\uc5d0 \uac78\uccd0\uc11c \ub450 \ubc88 \uc8fc\uc5b4\uc9c4\ub2e4. \ucc98\uc74c \uc0c1\ud0dc\ub294 \uac01\uac01\uc758 \uae30\ub465\uc774 \ubc84\ud2f8 \uc218 \uc788\ub294 \ub3c4\uc57d \ud69f\uc218\ub97c \ub098\ud0c0\ub0b8\ub2e4. \ud55c \uae30\ub465\uc774 \uacac\ub51c \uc218 \uc788\ub294 \ub3c4\uc57d \ud69f\uc218\ub294 \ucd5c\ub300 3\ubc88\uc774\uba70, \uc8fc\uc5b4\uc9c4 \uc22b\uc790\uac00 0\uc778 \uce78\uc740 \uae30\ub465\uc774 \uc874\uc7ac\ud558\uc9c0 \uc54a\ub294\ub2e4. \ub450 \ubc88\uc9f8\ub294 \ub3c4\ub9c8\ubc40\uc758 \uc704\uce58\ub97c \ub098\ud0c0\ub0b8\ub2e4. \ub3c4\ub9c8\ubc40\uc774 \uc874\uc7ac\ud558\ub294 \uce78\uc740 &#39;L&#39;\ub85c, \uc774\uc678\uc758 \uce78\uc740 &#39;.&#39;\uc73c\ub85c \ud45c\uc2dc\ub418\uba70, \uae30\ub465\uc774 \uc5c6\ub294 \uacf3\uc5d0 \ub3c4\ub9c8\ubc40\uc774 \uc874\uc7ac\ud558\ub294 \uacbd\uc6b0\ub294 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\ubaa8\ub4e0 \ubc29\uc758 \ud06c\uae30\ub294 \\(N \\times M\\)\uc758 \uc9c1\uc0ac\uac01\ud615\uc774\uba70, \\(1 \\le N, M \\le 20\\)\uc774\ub2e4.<\/p>\r\n","output":"<p>\uac01\uac01\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub9c8\ub2e4 \uc544\ub798\uc758 \uc608\uc81c \ucd9c\ub825\uc758 \ud615\uc2dd\uc5d0 \ub530\ub77c \ud0c8\ucd9c\ud558\uc9c0 \ubabb\ud558\ub294 \ub3c4\ub9c8\ubc40\uc758 \uc218\ub97c \ud55c \uc904\uc5d0 \ucd9c\ub825\ud558\ub77c.<\/p>\r\n","hint":"<p>\uc8fc\uc758 : \ubaa8\ub4e0 \uae38\uc744 \uc870\uc0ac\ud558\ub294 Brute Force \ubc29\ubc95\uc758 \uacbd\uc6b0, \uc8fc\uc5b4\uc9c4 \uc2dc\uac04\uc744 \ucd08\uacfc\ud560 \uc218 \uc788\ub2e4.<\/p>\r\n","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"4627","problem_lang":"1","title":"Leapin' Lizards","description":"<p>Your platoon of wandering lizards has entered a strange room in the labyrinth you are exploring. As you are looking around for hidden treasures, one of the rookies steps on an innocent-looking stone and the room&#39;s floor suddenly disappears! Each lizard in your platoon is left standing on a fragile-looking pillar, and a fire begins to rage below...<\/p>\r\n\r\n<p>Leave no lizard behind! Get as many lizards as possible out of the room, and report the number of casualties.<\/p>\r\n\r\n<p>The pillars in the room are aligned as a grid, with each pillar one unit away from the pillars to its east, west, north and south. Pillars at the edge of the grid are one unit away from the edge of the room (safety). Not all pillars necessarily have a lizard. A lizard is able to leap onto any unoccupied pillar that is within d units of his current one. A lizard standing on a pillar within leaping distance of the edge of the room may always leap to safety... but there&#39;s a catch: each pillar becomes weakened after each jump, and will soon collapse and no longer be usable by other lizards. Leaping onto a pillar does not cause it to weaken or collapse; only leaping off of it causes it to weaken and eventually collapse. Only one lizard may be on a pillar at any given time.<\/p>\r\n","input":"<p>The input file will begin with a line containing a single integer representing the number of test cases, which is at most 25. Each test case will begin with a line containing a single positive integer n representing the number of rows in the map, followed by a single non-negative integer d representing the maximum leaping distance for the lizards. Two maps will follow, each as a map of characters with one row per line. The first map will contain a digit (0-3) in each position representing the number of jumps the pillar in that position will sustain before collapsing (0 means there is no pillar there). The second map will follow, with an &#39;L&#39; for every position where a lizard is on the pillar and a &#39;.&#39; for every empty pillar. There will never be a lizard on a position where there is no pillar.<\/p>\r\n\r\n<p>Each input map is guaranteed to be a rectangle of size n x m, where 1 &le; n &le; 20 and 1 &le; m &le; 20. The leaping distance is always 1 &le; d &le; 3.<\/p>\r\n","output":"<p>Output: For each input case, print a single line containing the number of lizards that could not escape. The format should follow the samples provided below.<\/p>\r\n","hint":"<p>Warning: Brute force methods examining every path will likely exceed the allotted time limit.<\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"English"}]