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Find an n × n matrix with different numbers from 1 to n2, so the sum in each row, column and both main diagonals are odd.
Input
The only line contains odd integer n (1 ≤ n ≤ 49).
Output
Print n lines with n integers. All the integers should be different and from 1 to n2. The sum in each row, column and both main diagonals should be odd.
Examples
Input
1
Output
1
Input
3
Output
2 1 4
3 5 7
6 9 8
#include <iostream> #include <bits/stdc++.h> #include <string.h> using namespace std; long long int s[50][50]; long long int n[3000]; long long int m[3000]; int main() { long long int a,i,x=0,y=0,t,k,j; cin >> a; t=(a/2)+1; k=(a/2)+1; memset(s,0,sizeof(s)); for(i=1; i<=a*a; i++) { if(i%2==0) { n[++x]=i; } else { m[++y]=i; } } x=0; y=0; for(i=1; i<=a/2; i++) { for(j=t; j<=k; j++) { s[i][j]=m[++y]; } t--; k++; } t++; k--; for(i=1; i<=a; i++) { s[(a/2)+1][i]=m[++y]; } for(i=(a/2)+2; i<=a; i++) { for(j=t; j<=k; j++) { s[i][j]=m[++y]; } t++; k--; } for(i=1; i<=a; i++) { for(j=1; j<=a; j++) { if(s[i][j]==0) { s[i][j]=n[++x]; } } } for(i=1; i<=a; i++) { for(j=1; j<=a; j++) { if(j==a) { cout << s[i][j] << endl; } else { cout << s[i][j] << " "; } } } return 0; }
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