In a N x N grid
composed of 1 x 1 squares, each 1 x 1 square consists of a /
, \
, or blank space. These characters divide the square into contiguous regions.
(Note that backslash characters are escaped, so a \
is represented as "\\"
.)
Return the number of regions.
Example 1:
Input:
[
" /",
"/ "
]
Output: 2
Explanation: The 2x2 grid is as follows:
Example 2:
Input:
[
" /",
" "
]
Output: 1
Explanation: The 2x2 grid is as follows:
Example 3:
Input:
[
"\\/",
"/\\"
]
Output: 4
Explanation: (Recall that because \ characters are escaped, "\\/" refers to \/, and "/\\" refers to /\.)
The 2x2 grid is as follows:
Example 4:
Input:
[
"/\\",
"\\/"
]
Output: 5
Explanation: (Recall that because \ characters are escaped, "/\\" refers to /\, and "\\/" refers to \/.)
The 2x2 grid is as follows:
Example 5:
Input:
[
"//",
"/ "
]
Output: 3
Explanation: The 2x2 grid is as follows:
Note:
1 <= grid.length == grid[0].length <= 30
grid[i][j]
is either'/'
,'\'
, or' '
.
在由 1 x 1 方格组成的 N x N 网格 grid 中,每个 1 x 1 方块由 /、\ 或空格构成。这些字符会将方块划分为一些共边的区域。(请注意,反斜杠字符是转义的,因此 \ 用 "\" 表示)返回区域的数目。
提示:
- 1 <= grid.length == grid[0].length <= 30
- grid[i][j] 是 '/'、''、或 ' '。
- 给出一个字符串,代表的是
N x N
正方形中切分的情况,有 2 种切分的情况'\'
和'/'
,即从左上往右下切和从右上往左下切。问按照给出的切分方法,能把N x N
正方形切成几部分? - 这一题解题思路是并查集。先将每个
1*1
的正方形切分成下图的样子。分成 4 小块。然后按照题目给的切分图来合并各个小块。
- 遇到
'\\'
,就把第 0 块和第 1 块union()
起来,第 2 块和第 3 块union()
起来;遇到'/'
,就把第 0 块和第 3 块union()
起来,第 2 块和第 1 块union()
起来;遇到' '
,就把第 0 块和第 1 块union()
起来,第 2 块和第 1 块union()
起来,第 2 块和第 3 块union()
起来,即 4 块都union()
起来;最后还需要记得上一行和下一行还需要union()
,即本行的第 2 块和下一行的第 0 块union()
起来;左边一列和右边一列也需要union()
。即本列的第 1 块和右边一列的第 3 块union()
起来。最后计算出集合总个数就是最终答案了。