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Given a positive integer n, generate an n x n matrix filled with elements from 1 to n2 in spiral order.
Example 1:
Input: n = 3
Output: [[1,2,3],[8,9,4],[7,6,5]]
Example 2:
Input: n = 1
Output: [[1]]
Constraints:
1 <= n <= 20
此题跟之前那道 Spiral Matrix 本质上没什么区别，就相当于个类似逆运算的过程，这道题是要按螺旋的顺序来填数，由于给定矩形是个正方形，我们计算环数时用 n / 2 来计算，若n为奇数时，此时最中间的那个点没有被算在环数里，所以最后需要单独赋值，还是下标转换问题是难点，参考之前 Spiral Matrix 的讲解来转换下标吧，参见代码如下：
解法一：
class Solution {
public:
vector<vector<int>> generateMatrix(int n) {
vector<vector<int>> res(n, vector<int>(n));
int val = 1, p = n;
for (int i = 0; i < n / 2; ++i, p -= 2) {
for (int col = i; col < i + p; ++col)
res[i][col] = val++;
for (int row = i + 1; row < i + p; ++row)
res[row][i + p - 1] = val++;
for (int col = i + p - 2; col >= i; --col)
res[i + p - 1][col] = val++;
for (int row = i + p - 2; row > i; --row)
res[row][i] = val++;
}
if (n % 2 != 0) res[n / 2][n / 2] = val;
return res;
}
};
当然我们也可以使用下面这种简化了坐标转换的方法，博主个人还是比较推崇下面这种解法，不容易出错，而且好理解，参见代码如下：
解法二：
class Solution {
public:
vector<vector<int>> generateMatrix(int n) {
vector<vector<int>> res(n, vector<int>(n));
int up = 0, down = n - 1, left = 0, right = n - 1, val = 1;
while (true) {
for (int j = left; j <= right; ++j) res[up][j] = val++;
if (++up > down) break;
for (int i = up; i <= down; ++i) res[i][right] = val++;
if (--right < left) break;
for (int j = right; j >= left; --j) res[down][j] = val++;
if (--down < up) break;
for (int i = down; i >= up; --i) res[i][left] = val++;
if (++left > right) break;
}
return res;
}
};
Github 同步地址：
类似题目：
Spiral Matrix IV
参考资料：
https://leetcode.com/problems/spiral-matrix-ii/
LeetCode All in One 题目讲解汇总(持续更新中...)
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