题目

Given an integer n, generate a square matrix filled with elements from 1 to n2 in spiral order.

For example,
Given n = 3,

You should return the following matrix:

[
[ 1, 2, 3 ],
[ 8, 9, 4 ],
[ 7, 6, 5 ]
]


题解

这道题跟Spiral Matrix想法也是类似的,就是依照矩阵从外圈到内圈建立。
要考虑如果是奇数行列的话,最中心的那个点要单加。 代码如下:
 1     public int[][] generateMatrix(int n) {
 2         int[][] res = new int[n][n];
 3         int k = 1;
 4         int top = 0, bottom = n - 1, left = 0, right = n - 1;
 5         while (left < right && top < bottom) {
 6             for (int j = left; j < right; j++) {
 7                 res[top][j] = k++;
 8             }
 9             for (int i = top; i < bottom; i++) {
                 res[i][right] = k++;
             }
             for (int j = right; j > left; j--) {
                 res[bottom][j] = k++;
             }
             for (int i = bottom; i > top; i--) {
                 res[i][left] = k++;
             }
             left++;
             right--;
             top++;
             bottom--;
         }
         if (n % 2 != 0)
             res[n / 2][n / 2] = k;
         return res;
     }
Reference:leetcodenotes.wordpress.com/2013/11/23/leetcode-spiral-matrix-%E6%8A%8A%E4%B8%80%E4%B8%AA2d-matrix%E7%94%A8%E8%9E%BA%E6%97%8B%E6%96%B9%E5%BC%8F%E6%89%93%E5%8D%B0/

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