#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; //#define int long long typedef long long ll; typedef unsigned long long ul; typedef unsigned int ui; constexpr ll mod = 1000000007; const ll INF = mod * mod; typedef pairP; #define stop char nyaa;cin>>nyaa; #define rep(i,n) for(int i=0;i=0;i--) #define Rep(i,sta,n) for(int i=sta;i=1;i--) #define Rep1(i,sta,n) for(int i=sta;i<=n;i++) #define all(v) (v).begin(),(v).end() typedef pair LP; typedef double ld; typedef pair LDP; const ld eps = 1e-12; const ld pi = acos(-1.0); ll mod_pow(ll x, ll n, ll m) { ll res = 1; while (n) { if (n & 1)res = res * x % m; x = x * x % m; n >>= 1; } return res; } struct modint { ll n; modint() :n(0) { ; } modint(ll m) :n(m) { if (n >= mod)n %= mod; else if (n < 0)n = (n % mod + mod) % mod; } operator int() { return n; } }; bool operator==(modint a, modint b) { return a.n == b.n; } modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= mod; return a; } modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += mod; return a; } modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; } modint operator+(modint a, modint b) { return a += b; } modint operator-(modint a, modint b) { return a -= b; } modint operator*(modint a, modint b) { return a *= b; } modint operator^(modint a, ll n) { if (n == 0)return modint(1); modint res = (a * a) ^ (n / 2); if (n % 2)res = res * a; return res; } ll inv(ll a, ll p) { return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p); } modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); } const int max_n = 1 << 2; modint fact[max_n], factinv[max_n]; void init_f() { fact[0] = modint(1); for (int i = 0; i < max_n - 1; i++) { fact[i + 1] = fact[i] * modint(i + 1); } factinv[max_n - 1] = modint(1) / fact[max_n - 1]; for (int i = max_n - 2; i >= 0; i--) { factinv[i] = factinv[i + 1] * modint(i + 1); } } modint comb(int a, int b) { if (a < 0 || b < 0 || a < b)return 0; return fact[a] * factinv[b] * factinv[a - b]; } ll gcd(ll a, ll b) { if (a < b)swap(a, b); while (b) { ll r = a % b; a = b; b = r; } return a; } vector> ad[3] = { {{4,1},{2,3}},{{1,4},{2,3}},{{1,4},{3,2}} }; vector> make_s(int n,bool b) { if (n % 2) { vector> res(n, vector(n)); vector> used(n, vector(n, false)); int x = 0, y = n / 2; rep1(i, n * n) { res[x][y] = i; if (b)res[x][y] = n * n + 1 - i; used[x][y] = true; if (i < n * n) { int nx = x - 1, ny = y + 1; if (nx < 0)nx += n; if (ny == n)ny = 0; if (used[nx][ny]) { nx = x + 1, ny = y; if (nx == n)nx = 0; } x = nx, y = ny; } } return res; } if (n % 4 == 0) { vector> res(n, vector(n)); if (n == 4) { res = { {16,9,7,2},{3,6,12,13},{10,15,1,8},{5,4,14,11} }; return res; } vector> col(n, vector(n, 0)); rep(i, n / 4)rep(j, n / 4) { rep(k, 4) { col[i * 4 + k][j * 4 + k] = 1; col[i * 4 + k][j * 4 + 3 - k] = 1; } } rep(i, n)rep(j, n) { if (col[i][j]) { res[i][j] = i * n + j + 1; } } per(i, n)per(j, n) { if (!col[i][j]) { res[i][j] = (n - 1 - i) * n + (n - 1 - j) + 1; } } return res; } int d = n / 2; vector> res(n, vector(n)); vector> p = make_s(d,b); rep(i, d)rep(j, d) { p[i][j] = (p[i][j] - 1) * 4; } rep(i, d)rep(j, d) { int lx = 2 * i, ly = 2 * j; int col = 0; if (i > d / 2 + 1)col = 2; else if (i < d / 2 + 1) { col = 0; if (i == d / 2 && j == d / 2)col = 1; } else { col = 1; if (j == d / 2)col = 0; } rep(s, 2)rep(t, 2) { res[lx + s][ly + t] = p[i][j] + ad[col][s][t]; } } return res; } int n; vector> a; int calc(vector> v) { int cx, cy; rep(i, n)rep(j, n) { if (v[i][j] == n * n)cx = i, cy = j; } while (cx p(n * n); rep(i, n)rep(j, n) { p[i * n + j] = v[i][j] - 1; } vector used(n * n); int res = 0; rep(i, n * n) { if (used[i])continue; int cur = p[i]; int cnt = 1; used[i] = true; while (cur != i) { cnt++; used[cur] = true; cur = p[cur]; } res += cnt - 1; //cout << "? " << i << " " << cnt << "\n"; } return res % 2; } void rotate(vector>& v) { vector> res(n, vector(n)); rep(i, n)rep(j, n) { res[i][j] = v[j][n - 1 - i]; } swap(res, v); } void tenti(vector>& v) { vector> res(n, vector(n)); rep(i, n)rep(j, n) { res[i][j] = v[j][i]; } swap(res, v); } void trev(vector> &v) { rep(i, n / 2) { rep(j, n) { swap(v[i][j], v[n - 1 - i][j]); } } } void yrev(vector>& v) { rep(i, n)rep(j, n / 2) { swap(v[i][j], v[i][n - 1 - j]); } } void solve() { /*for (n = 3; n <= 50; n++) { vector> ans = make_s(n); cout << n << " " << calc(ans) << "\n"; }*/ cin >> n; a.resize(n, vector(n)); rep(i, n)rep(j, n)cin >> a[i][j]; rep(i, n)rep(j, n)if (a[i][j] == 0)a[i][j] = n * n; int b = calc(a); //cout << b << "\n"; if (n == 1) { cout << "possible\n"; cout << 1 << "\n"; return; } else if (n == 2) { cout << "impossible\n"; } else { vector> ans = make_s(n,false); rep(t, 4) { rotate(ans); rep(s, 2) { vector> ccop = ans; tenti(ccop); rep(i, 2)rep(j, 2) { vector> cop = ccop; if (i)trev(cop); if (j)yrev(cop); int c = calc(cop); if (b == c) { cout << "possible\n"; rep(i, n) { rep(j, n) { if (j > 0)cout << " "; cout << cop[i][j]; } cout << "\n"; } return; } } } } ans = make_s(n,true); rep(t, 4) { rotate(ans); rep(s, 2) { vector> ccop = ans; tenti(ccop); rep(i, 2)rep(j, 2) { vector> cop = ccop; if (i)trev(cop); if (j)yrev(cop); int c = calc(cop); if (b == c) { cout << "possible\n"; rep(i, n) { rep(j, n) { if (j > 0)cout << " "; cout << cop[i][j]; } cout << "\n"; } return; } } } } assert(false); } } signed main() { ios::sync_with_stdio(false); cin.tie(0); //cout << fixed << setprecision(10); //init_f(); //expr(); //int t; cin >> t; rep(i, t) //while (cin >> n >> m>>s1>>s2>>t, n) solve(); return 0; }