시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
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문제

백승환은 레고를 좋아한다. 레고를 쌓은 모습이 2가지 각도에서 주어졌을 때, 그렇게 만드는 경우의 수는 총 몇 가지가 있는지 구하는 프로그램을 작성하시오.

이 문제에서 승환이는 오직 2*2크기의 블럭만 사용한다. 하지만, 이 블럭은 흰색 (W), 회색 (G), 검정색 (B) 과 같이 총 3가지 색상이 있다. 승환이는 이 세가지 색상의 블럭을 무수히 많이 가지고 있다. 승환이는 6*6크기의 보드에 레고를 꼽을 것이다. 모든 블럭은 보드의 모서리에 평행해야 하고, 보드의 바깥으로 나가면 안된다. 그리고 블럭은 떠있을 수 없다.

가장 왼쪽은 가능한 경우다. 한 블럭이 다른 블럭 위에 있기 때문이다. 하지만, 가운데는 블럭이 떠있기 때문에 불가능한 경우다. 오른쪽은 6*6 보드를 넘어가므로 불가능한 경우다.

입력

입력의 첫째 줄에 H가 주어진다. H는 승환이가 만드려고 하는 것의 높이이다. 다음 H개의 줄에는 6개의 문자가 주어진다. 이것은 승환이가 만든 것을 한 쪽에서 봤을 때 (밑의 Hint 그림에서 A) 이다. 모든 문자는 W, G, B 또는 .이다. W, G, B는 블럭의 색상이고, .은 빈 공간이다. 이 문제에서 각 블럭의 깊이를 예측할 수 없는 것을 예상하고 문제를 풀어야 한다. 따라서 ,같은 색상이 인접해 있다고 해도, 같은 높이에 있는 블럭이 아닐 수 있다. 그 다음 H줄에는 그림 상에서 B에 해당하는 곳에서 본 블럭의 모양이 주어진다.

출력

첫째 줄에 문제의 정답을 출력한다. 이 때, 어떤 두 가지 모양이 있다고 할 때, 하나를 A, 하나를 B라고 하자. 이 때 B를 거울 대칭이나 회전을 해서 A를 만들 수 있다고 하면, 두 가지 모두 다른 경우로 세야 한다. 정답은 64비트 인트형에 항상 포함된다.

예제 입력 1

2
WWGG..
.BB.WW
.WGG..
WWGG..

예제 출력 1

6

힌트

[{"problem_id":"2425","problem_lang":"0","title":"\ub808\uace0","description":"<p>\ubc31\uc2b9\ud658\uc740 \ub808\uace0\ub97c \uc88b\uc544\ud55c\ub2e4. \ub808\uace0\ub97c \uc313\uc740 \ubaa8\uc2b5\uc774 2\uac00\uc9c0 \uac01\ub3c4\uc5d0\uc11c \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uadf8\ub807\uac8c \ub9cc\ub4dc\ub294 \uacbd\uc6b0\uc758 \uc218\ub294 \ucd1d \uba87 \uac00\uc9c0\uac00 \uc788\ub294\uc9c0 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n<p>\uc774 \ubb38\uc81c\uc5d0\uc11c \uc2b9\ud658\uc774\ub294 \uc624\uc9c1 2*2\ud06c\uae30\uc758 \ube14\ub7ed\ub9cc \uc0ac\uc6a9\ud55c\ub2e4. \ud558\uc9c0\ub9cc, \uc774 \ube14\ub7ed\uc740 \ud770\uc0c9 (W), \ud68c\uc0c9 (G), \uac80\uc815\uc0c9 (B) \uacfc \uac19\uc774 \ucd1d 3\uac00\uc9c0 \uc0c9\uc0c1\uc774 \uc788\ub2e4. \uc2b9\ud658\uc774\ub294 \uc774 \uc138\uac00\uc9c0 \uc0c9\uc0c1\uc758 \ube14\ub7ed\uc744 \ubb34\uc218\ud788 \ub9ce\uc774 \uac00\uc9c0\uace0 \uc788\ub2e4. \uc2b9\ud658\uc774\ub294 6*6\ud06c\uae30\uc758 \ubcf4\ub4dc\uc5d0 \ub808\uace0\ub97c \uaf3d\uc744 \uac83\uc774\ub2e4. \ubaa8\ub4e0 \ube14\ub7ed\uc740 \ubcf4\ub4dc\uc758 \ubaa8\uc11c\ub9ac\uc5d0 \ud3c9\ud589\ud574\uc57c \ud558\uace0, \ubcf4\ub4dc\uc758 \ubc14\uae65\uc73c\ub85c \ub098\uac00\uba74 \uc548\ub41c\ub2e4. \uadf8\ub9ac\uace0 \ube14\ub7ed\uc740 \ub5a0\uc788\uc744 \uc218 \uc5c6\ub2e4.<\/p>\r\n<p><img width=\"326\" height=\"84\" alt=\"\" src=\"\/JudgeOnline\/upload\/201107\/lego.png\" \/><\/p>\r\n<p>\uac00\uc7a5 \uc67c\ucabd\uc740 \uac00\ub2a5\ud55c \uacbd\uc6b0\ub2e4. \ud55c \ube14\ub7ed\uc774 \ub2e4\ub978 \ube14\ub7ed \uc704\uc5d0 \uc788\uae30 \ub54c\ubb38\uc774\ub2e4. \ud558\uc9c0\ub9cc, \uac00\uc6b4\ub370\ub294 \ube14\ub7ed\uc774 \ub5a0\uc788\uae30 \ub54c\ubb38\uc5d0 \ubd88\uac00\ub2a5\ud55c \uacbd\uc6b0\ub2e4. \uc624\ub978\ucabd\uc740 6*6 \ubcf4\ub4dc\ub97c \ub118\uc5b4\uac00\ubbc0\ub85c \ubd88\uac00\ub2a5\ud55c \uacbd\uc6b0\ub2e4.<\/p>","input":"<p>\uc785\ub825\uc758 \uccab\uc9f8 \uc904\uc5d0 H\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. H\ub294 \uc2b9\ud658\uc774\uac00 \ub9cc\ub4dc\ub824\uace0 \ud558\ub294 \uac83\uc758 \ub192\uc774\uc774\ub2e4. \ub2e4\uc74c H\uac1c\uc758 \uc904\uc5d0\ub294 6\uac1c\uc758 \ubb38\uc790\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774\uac83\uc740 \uc2b9\ud658\uc774\uac00 \ub9cc\ub4e0 \uac83\uc744 \ud55c \ucabd\uc5d0\uc11c \ubd24\uc744 \ub54c (\ubc11\uc758 Hint \uadf8\ub9bc\uc5d0\uc11c A) \uc774\ub2e4. \ubaa8\ub4e0 \ubb38\uc790\ub294 W, G, B \ub610\ub294 .\uc774\ub2e4. W, G, B\ub294 \ube14\ub7ed\uc758 \uc0c9\uc0c1\uc774\uace0, .\uc740 \ube48 \uacf5\uac04\uc774\ub2e4. \uc774 \ubb38\uc81c\uc5d0\uc11c \uac01 \ube14\ub7ed\uc758 \uae4a\uc774\ub97c \uc608\uce21\ud560 \uc218 \uc5c6\ub294 \uac83\uc744 \uc608\uc0c1\ud558\uace0 \ubb38\uc81c\ub97c \ud480\uc5b4\uc57c \ud55c\ub2e4. \ub530\ub77c\uc11c ,\uac19\uc740 \uc0c9\uc0c1\uc774 \uc778\uc811\ud574 \uc788\ub2e4\uace0 \ud574\ub3c4, \uac19\uc740 \ub192\uc774\uc5d0 \uc788\ub294 \ube14\ub7ed\uc774 \uc544\ub2d0 \uc218 \uc788\ub2e4. \uadf8 \ub2e4\uc74c H\uc904\uc5d0\ub294 \uadf8\ub9bc \uc0c1\uc5d0\uc11c B\uc5d0 \ud574\ub2f9\ud558\ub294 \uacf3\uc5d0\uc11c \ubcf8 \ube14\ub7ed\uc758 \ubaa8\uc591\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \ubb38\uc81c\uc758 \uc815\ub2f5\uc744 \ucd9c\ub825\ud55c\ub2e4. \uc774 \ub54c, \uc5b4\ub5a4 \ub450 \uac00\uc9c0 \ubaa8\uc591\uc774 \uc788\ub2e4\uace0 \ud560 \ub54c, \ud558\ub098\ub97c A, \ud558\ub098\ub97c B\ub77c\uace0 \ud558\uc790. \uc774 \ub54c B\ub97c \uac70\uc6b8 \ub300\uce6d\uc774\ub098 \ud68c\uc804\uc744 \ud574\uc11c A\ub97c \ub9cc\ub4e4 \uc218 \uc788\ub2e4\uace0 \ud558\uba74, \ub450 \uac00\uc9c0 \ubaa8\ub450 \ub2e4\ub978 \uacbd\uc6b0\ub85c \uc138\uc57c \ud55c\ub2e4. \uc815\ub2f5\uc740 64\ube44\ud2b8 \uc778\ud2b8\ud615\uc5d0 \ud56d\uc0c1 \ud3ec\ud568\ub41c\ub2e4.<\/p>","hint":"<p><img width=\"235\" height=\"126\" alt=\"\" src=\"\/JudgeOnline\/upload\/201107\/lego2(1).png\" \/><\/p>","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"2425","problem_lang":"1","title":"Lego","description":"<p>You are using Lego building blocks to train an arti\ufb01cial vision system. Write a program that, given pictures of a Lego construction taken from two angles, calculates in how many di\ufb00erent ways it can be built.<\/p>\r\n\r\n<p>In this task, there is only one kind of lego block (with 2 &times; 2 &ldquo;knobs&rdquo;, see picture below), but it can have three di\ufb00erent colors: white (W), gray (G) or black (B). All blocks exist in unlimited amounts. You use a quadratic base with 6 &times; 6 knobs. Every block must have its edges parallel to this base and no block may extend outside of it. Every block must rest upon at least one underlying block.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/JudgeOnline\/upload\/201107\/lego.png\" style=\"height:84px; width:326px\" \/><\/p>\r\n\r\n<p>Left: An allowed way to place a block on top of another one. Center: An illegal way (the upper block hangs in the air). Right: Another illegal way (the upper block extends outside the base).<\/p>\r\n","input":"<p>The \ufb01rst line of the \ufb01le lego.in contains H (1 &le; H &le; 6), the height of the construction. Then follow H lines with 6 characters on each line, giving a picture of the construction as seen from one side (marked A on the \ufb01gure below). The jth character on the ith line speci\ufb01es what you see looking at the jth column from the left on the ith row from above. Each character may be one of &lsquo;W&rsquo;, &lsquo;G&rsquo;, &lsquo;B&rsquo; or &lsquo;.&rsquo;, specifying a color (&lsquo;W&rsquo;, &lsquo;G&rsquo;, or &lsquo;B&rsquo;) or a hole (&lsquo;.&rsquo;). Note that you cannot estimate the depth, so a color seen in a certain position may either belong to a block near the front edge, or further back, provided no other block is blocking the sight.<\/p>\r\n\r\n<p>The \ufb01rst picture is followed by another set of H lines with the construction seen from an angle where the observer has moved 90 degrees counterclockwise around the construction (marked B on the \ufb01gure below).<\/p>\r\n","output":"<p>The program should output one line to the lego.out output \ufb01le, containing a single integer: the number of di\ufb00erent Lego constructions that satisfy the pictures given in the input. Note that even if two di\ufb00erent possible constructions could be obtained from each other by rotating or mirroring, they both should be counted. For the given input, the answer will always \ufb01t in a signed 64-bit integer.<\/p>\r\n","hint":"<p><img alt=\"\" src=\"\/JudgeOnline\/upload\/201107\/lego2(1).png\" style=\"height:126px; width:235px\" \/><\/p>\r\n\r\n<p>One of the possible constructions in the example.<\/p>\r\n","original":"1","problem_lang_code":"\uc601\uc5b4"}]

출처

Olympiad > Baltic Olympiad in Informatics > BOI 2010 2번