#include #include using namespace std; class range {private: struct I{int x;int operator*(){return x;}bool operator!=(I& lhs){return x> solve1(int n) { vector> res(n, vector(n)); int i = 0, j = n / 2; for(int k : range(n*n)) { res[i][j] = k + 1; int ni = (i - 1 + n) % n; int nj = (j + 1) % n; if(res[ni][nj] > 0) { ni = (i + 1) % n; nj = j; } i = ni, j = nj; } return res; } vector> solve2(int n) { vector> res(n, vector(n)); for(int k : range(n*n)) { int i = k / n; int j = k % n; if((i + j) % 4 == 3 || (i - j) % 4 == 0) { res[i][j] = k + 1; } else { res[n-1-i][n-1-j] = k + 1; } } return res; } // (ΦωΦ)<関孝和の方法 vector> solve3(int n) { int n2 = n - 2; vector> res(n, vector(n)); vector> inner = solve2(n2); for(int i : range(n2)) { for(int j : range(n2)) { res[i+1][j+1] = inner[i][j] + 2*n - 2; } } for(int k : range(n2)) { res[n-1][k+2] = k + 1; res[n-1-k][0] = n2 + k + 1; } res[n-1][1] = 2 * n2 + 1; res[1][0] = 2 * n2 + 2; for(int k : range(n)) { int target = (k==0||k==n-1) ? res[n-1][n-1-k] : res[n-1][k]; res[0][k] = n*n+1 - target; } for(int k : range(1, n)) { int target = (k==n-1) ? res[0][0] : res[k][0]; res[k][n-1] = n*n+1 - target; } swap(res[0][1], res[n-1][1]); for(int j : range(2, n-1)) { if((j-2)%4 < 2) { swap(res[0][j], res[n-1][j]); } } for(int i : range(1, n-1)) { if(i%4 < 2) { swap(res[i][0], res[i][n-1]); } } return res; } // (ΦωΦ)<LUX vector> solve4(int n) { int half = n / 2; int quo = half / 2; vector> small = solve1(half); vector> L = {{4, 1}, {2, 3}}, U = {{1, 4}, {2, 3}}, X = {{1, 4}, {3, 2}}; vector>>> add(half, vector>>(half, vector>(2, vector(2)))); for(int i : range(half)) { vector> target; if(i < quo+1) { target = L; } else if(i == quo+1) { target = U; } else { target = X; } for(int j : range(half)) { add[i][j] = target; } } swap(add[quo][quo], add[quo+1][quo]); vector> res(n, vector(n)); for(int i : range(half)) { for(int j : range(half)) { int x = (small[i][j] - 1) * 4; res[2*i] [2*j] = x + add[i][j][0][0]; res[2*i] [2*j+1] = x + add[i][j][0][1]; res[2*i+1][2*j] = x + add[i][j][1][0]; res[2*i+1][2*j+1] = x + add[i][j][1][1]; } } return res; } int main(void) { int n; scanf("%d", &n); vector> res; if(n & 1) { res = solve1(n); } else if(n % 4 == 0) { res = solve2(n); } else { // res = solve3(n); res = solve4(n); } for(int i : range(n)) { for(int j : range(n)) { printf("%d%c", res[i][j], j==n-1?'\n':' '); } } return 0; }