#include #include #include #include using namespace std; void Hindu(vector> &a, int n){ int x = n / 2; int y = 0; int num = 1; int end = n * n; while(num <= end){ a[y][x] = num++; x++; y--; if(x == n){ x = 0; } if(y < 0){ y = n - 1; } if(a[y][x] != 0){ x = (x+n-1) % n; y = (y+2) % n; } } } void Diagonal2(vector> &a, int n, int x, int y, int dx){ while((x >= 0) && (x < n) && (y >= 0) && (y < n)){ a[y][x] = y * n + x + 1; x += dx; y++; } } void Diagonal(vector> &a, int n){ for(int i = 0; i < n; i += 4){ Diagonal2(a, n, 0, i, 1); Diagonal2(a, n, i, 0, 1); } for(int i = 3; i < n; i += 4){ Diagonal2(a, n, n-1, i-3, -1); Diagonal2(a, n, i, 0, -1); } for(int x = 0; x < n; x++){ for(int y = 0; y < n; y++){ if(a[y][x] == 0){ a[y][x] = (n * n) - (y * n + x); } } } } void LUX(vector> &a, int n){ vector> b(n / 2, vector(n / 2)); Hindu(b, n / 2); for(int i = 0; i < (n / 2); i++){ for(int j = 0; j < (n / 2); j++){ b[i][j]--; b[i][j] *= 4; // U if(((i == (n / 4) && (j == (n / 4))) || ((i == (n / 4 + 1)) && (j != (n / 4)))) || ((i == (n/4)) && (j == (n/4)))){ a[i * 2][j * 2] = b[i][j] + 1; a[i * 2 + 1][j * 2] = b[i][j] + 2; a[i * 2][j * 2 + 1] = b[i][j] + 4; a[i * 2 + 1][j * 2 + 1] = b[i][j] + 3; } // X else if(i > (n / 4 + 1)){ a[i * 2][j * 2] = b[i][j] + 1; a[i * 2 + 1][j * 2] = b[i][j] + 3; a[i * 2][j * 2 + 1] = b[i][j] + 4; a[i * 2 + 1][j * 2 + 1] = b[i][j] + 2; } // L else{ a[i * 2][j * 2] = b[i][j] + 4; a[i * 2 + 1][j * 2] = b[i][j] + 2; a[i * 2][j * 2 + 1] = b[i][j] + 1; a[i * 2 + 1][j * 2 + 1] = b[i][j] + 3; } } } } int main() { int n; cin >> n; vector> a(n, vector(n)); for(int x = 0; x < n; x++){ for(int y = 0; y < n; y++){ a[y][x] = 0; } } if(n % 2 == 1){ Hindu(a, n); }else if(n % 4 == 0){ Diagonal(a, n); }else{ LUX(a, n); } for(int i = 0; i < n; i++){ for(int j = 0; j < n; j++){ cout << a[i][j] << " "; } cout << endl; } return 0; }