题解 | #回型矩阵#
回型矩阵
https://www.nowcoder.com/practice/36d5dfddc22c4f5b88a5b2a9de7db343
#include <iostream>
using namespace std;
//利用边界条件之间的关系进行条件判断,赋值,分两步进行
//1.将方阵分为外层,内层
//2.对外层进行赋值,完成后,内层变为外层 ,重复
int main() {
int n, up, down, right, left, count = 1;
scanf("%d",&n);
int map[n][n];
up = 0, right = n - 1, left = 0, down = n - 1;
while (up < down || left < right) {
for (int i = left; i < right ; i++) {//上端赋值
map[up][i] = count++;
}
for (int i = left; i < down ; i++) {//左侧赋值
map[i][right] = count++;
}
for (int i = right ; i > left; i--) {//下端赋值
map[down][i] = count++;
}
for (int i = down ; i > left; i--) {//右侧赋值
map[i][left] = count++;
}
up++; //将内层切换成外层
down--;
left++;
right--;
}
if(left == right && up == down) map[up][down] = count;//对于奇数层数的矩阵,中间数需要另外赋值
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
cout << map[i][j] << ' ';
}
cout << endl;
}
return 0;
}