将网格内的数字转换为其对应的 x,y 坐标

2022-01-18 00:00:00 algorithm grid c++

给定以下网格中的数字(从 1 到 36)，我如何确定它们在网格中的坐标 (x,y)?

Given the numbers in the following grid (from 1 to 36), how can I determine their coordinates (x,y) within the grid?

 |  0  1  2  3  4  5  6  7  8
------------------------------
0|  1  2  3  4  5  6  7  8  9
1| 10 11 12 13 14 15 16 17 18
2| 19 20 21 22 23 24 25 26 27
3| 28 29 30 31 32 33 34 35 36

即我想要获得的是以下内容:

i.e. what I want to obtain is the following:

 |     0     1     2        8
------------------------------
0| (0,0) (1,0) (2,0) ... (8,0)
1| (0,1) (1,1) (2,1) ... (8,1)
2| (0,2) (1,2) (2,2) ... (8,2)
3| (0,3) (1,3) (2,3) ... (8,3)

我试过了:

x = number%9-1;
y = number/9;

适用于除右侧最后一列之外的所有情况.

which works for all cases except the ones in the last column on the right.

所以我想出了:

if (number%9==0) {
    x = 8;
    y = number/9-1;
}
else{
    x = number%9-1;
    y = number/9;
}

我的问题是，有没有更聪明的方法来做到这一点?

My question is, is there a smarter way of doing this?

推荐答案

x = (number-1)%9;
y = (number-1)/9;

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