This time your job is to fill a sequence of N positive integers into a spiral matrix in non-increasing order. A spiral matrix is filled in from the first element at the upper-left corner, then move in a clockwise spiral. The matrix has m rows and n columns, where m and n satisfy the following: m*n must be equal to N; m>=n; and m-n is the minimum of all the possible values.
Input Specification:
Each input file contains one test case. For each case, the first line gives a positive integer N. Then the next line contains N positive integers to be filled into the spiral matrix. All the numbers are no more than 10^4^. The numbers in a line are separated by spaces.
Output Specification:
For each test case, output the resulting matrix in m lines, each contains n numbers. There must be exactly 1 space between two adjacent numbers, and no extra space at the end of each line.
Sample Input:
12
37 76 20 98 76 42 53 95 60 81 58 93
Sample Output:
98 95 93
42 37 81
53 20 76
58 60 76思路:
关于螺旋矩阵，我参考了https://blog.csdn.net/YinJianxiang/article/details/60328969
C++：
#include <iostream>
#include <cmath>
#include <vector>
#include <algorithm>
using namespace std;
int func(int N) {
int i = sqrt((double)N);
while(i >= 1) {
if(N % i == 0)
return i;
i--;
}
return 1;
}
int cmp(int a, int b) {return a > b;}
int main() {
int N, m, n, t = 0;
scanf("%d", &N);
n = func(N);
m = N / n;
vector<int> a(N);
for (int i = 0; i < N; i++)
scanf("%d", &a[i]);
sort(a.begin(), a.end(), cmp);
vector<vector<int> > b(m, vector<int>(n));
int level = m / 2 + m % 2;
for (int i = 0; i < level; i++) {
for (int j = i; j <= n - 1 - i && t <= N - 1; j++)
b[i][j] = a[t++];
for (int j = i + 1; j <= m - 2 - i && t <= N - 1; j++)
b[j][n - 1 - i] = a[t++];
for (int j = n - i - 1; j >= i && t <= N - 1; j--)
b[m - 1 - i][j] = a[t++];
for (int j = m - 2 - i; j >= i + 1 && t <= N - 1; j--)
b[j][i] = a[t++];
}
for (int i = 0; i < m; i++) {
for (int j = 0 ; j < n; j++) {
printf("%d", b[i][j]);
if (j != n - 1) printf(" ");
}
printf("\n");
}
return 0;
}