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문제

동전 퍼즐을 풀어 보자! 처음에 무한 격자 평면에 동전 몇 개가 놓여 있다. 모든 동전은 격자점 위에 있다.

퍼즐의 목표는 최소 개수의 동전을 옮겨서 새로운 모양을 만드는 것이다. 동전을 옮길 때는 한 번에 한 개씩, 동전을 들어서 빈 격자점에 놓으면 된다. 새로운 모양이 만들어지는 위치는 어디든 상관없지만, 회전된 모양이나 대칭된 모양을 만드는 것은 인정되지 않는다.

예를 들어, 다음과 같은 두 가지 동전의 배치를 생각하자.

첫 번째 배치에서 두 번째 배치로 만들기 위해서는 아래와 같이 최소 네 개의 동전을 옮겨야 한다.

현재 동전의 배치와 만들어야 하는 동전의 배치가 주어질 때, 옮겨야 하는 동전의 개수는 최소 몇 개인지 구하시오.

입력

첫 번째 줄에 정수 $H_1$, $W_1$이 주어진다. ($1\le H_1,W_1\le 10$)

그다음 줄부터 $H_1$개의 줄에 길이 $W_1$의 문자열이 주어진다. ‘.’은 빈칸, ‘O’는 동전이 있는 칸이다. 현재 동전의 배치를 나타낸다.

그다음 줄에 정수 $H_2$, $W_2$가 주어진다. ($1\le H_2,W_2\le 10$)

그다음 줄부터 $H_2$개의 줄에 길이 $W_2$의 문자열이 주어진다. ‘.’은 빈칸, ‘O’는 동전이 있는 칸이다. 만들어야 하는 동전의 배치를 나타낸다.

두 배치의 동전의 개수는 동일함이 보장된다.

출력

옮겨야 하는 동전의 최소 개수를 출력한다.

예제 입력 1

5 5
O...O
O...O
OOOOO
..O..
..O..
5 5
..O..
..O..
OOOOO
O...O
O...O

예제 출력 1

4

예제 입력 2

2 5
OOO.O
O.OOO
4 3
.OO
OO.
.OO
OO.

예제 출력 2

4

예제 입력 3

3 5
.O...
OO...
.....
4 3
...
...
..O
.OO

예제 출력 3

0
[{"problem_id":"27921","problem_lang":"0","title":"\ub3d9\uc804 \ud37c\uc990","description":"<p>\ub3d9\uc804 \ud37c\uc990\uc744 \ud480\uc5b4 \ubcf4\uc790! \ucc98\uc74c\uc5d0 \ubb34\ud55c \uaca9\uc790 \ud3c9\uba74\uc5d0 \ub3d9\uc804 \uba87 \uac1c\uac00 \ub193\uc5ec \uc788\ub2e4. \ubaa8\ub4e0 \ub3d9\uc804\uc740 \uaca9\uc790\uc810 \uc704\uc5d0 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ud37c\uc990\uc758 \ubaa9\ud45c\ub294 \ucd5c\uc18c \uac1c\uc218\uc758 \ub3d9\uc804\uc744 \uc62e\uaca8\uc11c \uc0c8\ub85c\uc6b4 \ubaa8\uc591\uc744 \ub9cc\ub4dc\ub294 \uac83\uc774\ub2e4. \ub3d9\uc804\uc744 \uc62e\uae38 \ub54c\ub294 \ud55c \ubc88\uc5d0 \ud55c \uac1c\uc529, \ub3d9\uc804\uc744 \ub4e4\uc5b4\uc11c \ube48 \uaca9\uc790\uc810\uc5d0 \ub193\uc73c\uba74 \ub41c\ub2e4. \uc0c8\ub85c\uc6b4 \ubaa8\uc591\uc774 \ub9cc\ub4e4\uc5b4\uc9c0\ub294 \uc704\uce58\ub294 \uc5b4\ub514\ub4e0 \uc0c1\uad00\uc5c6\uc9c0\ub9cc, \ud68c\uc804\ub41c \ubaa8\uc591\uc774\ub098 \ub300\uce6d\ub41c \ubaa8\uc591\uc744 \ub9cc\ub4dc\ub294 \uac83\uc740 \uc778\uc815\ub418\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n\r\n<p>\uc608\ub97c \ub4e4\uc5b4, \ub2e4\uc74c\uacfc \uac19\uc740 \ub450 \uac00\uc9c0 \ub3d9\uc804\uc758 \ubc30\uce58\ub97c \uc0dd\uac01\ud558\uc790.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/ff7e9006-2a35-4a6e-8982-e9896295eb5a\/-\/preview\/\" style=\"width: 700px; height: 350px;\" \/><\/p>\r\n\r\n<p>\uccab \ubc88\uc9f8 \ubc30\uce58\uc5d0\uc11c \ub450 \ubc88\uc9f8 \ubc30\uce58\ub85c \ub9cc\ub4e4\uae30 \uc704\ud574\uc11c\ub294 \uc544\ub798\uc640 \uac19\uc774 \ucd5c\uc18c \ub124 \uac1c\uc758 \ub3d9\uc804\uc744 \uc62e\uaca8\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/5565b710-b0a8-438d-9f25-ab650af440bd\/-\/preview\/\" style=\"width: 455px; height: 350px;\" \/><\/p>\r\n\r\n<p>\ud604\uc7ac \ub3d9\uc804\uc758 \ubc30\uce58\uc640 \ub9cc\ub4e4\uc5b4\uc57c \ud558\ub294 \ub3d9\uc804\uc758 \ubc30\uce58\uac00 \uc8fc\uc5b4\uc9c8 \ub54c, \uc62e\uaca8\uc57c \ud558\ub294 \ub3d9\uc804\uc758 \uac1c\uc218\ub294 \ucd5c\uc18c \uba87 \uac1c\uc778\uc9c0 \uad6c\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab \ubc88\uc9f8 \uc904\uc5d0 \uc815\uc218 $H_1$, $W_1$\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. ($1\\le H_1,W_1\\le 10$)<\/p>\r\n\r\n<p>\uadf8\ub2e4\uc74c \uc904\ubd80\ud130 $H_1$\uac1c\uc758 \uc904\uc5d0 \uae38\uc774 $W_1$\uc758 \ubb38\uc790\uc5f4\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. &lsquo;<span style=\"color:#e74c3c;\"><code>.<\/code><\/span>&rsquo;\uc740 \ube48\uce78, &lsquo;<span style=\"color:#e74c3c;\"><code>O<\/code><\/span>&rsquo;\ub294 \ub3d9\uc804\uc774 \uc788\ub294 \uce78\uc774\ub2e4. \ud604\uc7ac \ub3d9\uc804\uc758 \ubc30\uce58\ub97c \ub098\ud0c0\ub0b8\ub2e4.<\/p>\r\n\r\n<p>\uadf8\ub2e4\uc74c \uc904\uc5d0 \uc815\uc218 $H_2$, $W_2$\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. ($1\\le H_2,W_2\\le 10$)<\/p>\r\n\r\n<p>\uadf8\ub2e4\uc74c \uc904\ubd80\ud130 $H_2$\uac1c\uc758 \uc904\uc5d0 \uae38\uc774 $W_2$\uc758 \ubb38\uc790\uc5f4\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. &lsquo;<span style=\"color:#e74c3c;\"><code>.<\/code><\/span>&rsquo;\uc740 \ube48\uce78, &lsquo;<span style=\"color:#e74c3c;\"><code>O<\/code><\/span>&rsquo;\ub294 \ub3d9\uc804\uc774 \uc788\ub294 \uce78\uc774\ub2e4. \ub9cc\ub4e4\uc5b4\uc57c \ud558\ub294 \ub3d9\uc804\uc758 \ubc30\uce58\ub97c \ub098\ud0c0\ub0b8\ub2e4.<\/p>\r\n\r\n<p>\ub450 \ubc30\uce58\uc758 \ub3d9\uc804\uc758 \uac1c\uc218\ub294 \ub3d9\uc77c\ud568\uc774 \ubcf4\uc7a5\ub41c\ub2e4.<\/p>\r\n","output":"<p>\uc62e\uaca8\uc57c \ud558\ub294 \ub3d9\uc804\uc758 \ucd5c\uc18c \uac1c\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"27921","problem_lang":"1","title":"Coin Puzzle","description":"<p>Let&rsquo;s solve a coin puzzle! Initially, there are some coins on an infinite grid plane, and the coins are placed on grid points.<\/p>\r\n\r\n<p>The goal of the puzzle is to create a target shape by moving as few coins as possible. To move a coin, pick it up and place it on an empty grid point, one at a time. It doesn&#39;t matter where you create the target shape on the plane, but making a rotated or mirrored shape is not accepted.<\/p>\r\n\r\n<p>For example, consider the following two arrangements of coins.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/ff7e9006-2a35-4a6e-8982-e9896295eb5a\/-\/preview\/\" style=\"width: 700px; height: 350px;\" \/><\/p>\r\n\r\n<p>To create the second shape from the first shape, you need to move at least four coins like below.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/5565b710-b0a8-438d-9f25-ab650af440bd\/-\/preview\/\" style=\"width: 455px; height: 350px;\" \/><\/p>\r\n\r\n<p>Given the current shape and the target shape of the coins, print the minimum number of coins to move to create the target shape from the current shape.<\/p>\r\n","input":"<p>The first line of the input data contains two integers $H_1$ and $W_1$ &mdash; the height and width of the current shape. ($1\\le H_1,W_1\\le 10$)\u200a<\/p>\r\n\r\n<p>Each of the following $H_1$ lines contains a string of length $W_1$, which represent the current shape. The strings contain only &lsquo;<span style=\"color:#e74c3c;\"><code>.<\/code><\/span>&rsquo; and &lsquo;<span style=\"color:#e74c3c;\"><code>O<\/code><\/span>&rsquo; &mdash; &lsquo;<span style=\"color:#e74c3c;\"><code>.<\/code><\/span>&rsquo; means a grid point without a coin and &lsquo;<span style=\"color:#e74c3c;\"><code>O<\/code><\/span>&lsquo; means that with a coin.<\/p>\r\n\r\n<p>The following line contains two integers $H_2$ and $W_2$ &mdash; the height and width of the target shape. ($1\\le H_2,W_2\\le 10$)\u200a<\/p>\r\n\r\n<p>Each of the following $H_2$ lines contains a string of length $W_2$, which represent the target shape. The strings contain only &lsquo;<span style=\"color:#e74c3c;\"><code>.<\/code><\/span>&rsquo; and &lsquo;<span style=\"color:#e74c3c;\"><code>O<\/code><\/span>&rsquo; &mdash; &lsquo;<span style=\"color:#e74c3c;\"><code>.<\/code><\/span>&rsquo; means a grid point without a coin and &lsquo;<span style=\"color:#e74c3c;\"><code>O<\/code><\/span>&lsquo; means that with a coin.<\/p>\r\n\r\n<p>The number of coins in the two shapes is guaranteed to be the same.<\/p>\r\n","output":"<p>Print the minimum number of coins to move to create the target shape from the current shape.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English"}]