import std.algorithm, std.conv, std.range, std.stdio, std.string; import std.math; // math functions alias Point!int point; void main() { auto n = readln.chomp.to!int; if (n == 1) { writeln("possible"); writeln(1); return; } else if (n == 2) { writeln("impossible"); return; } auto a = n.iota.map!(_ => readln.split.to!(int[])).array; auto r = calc(n); auto aep = a.findK(0), rep = r.findK(n * n), dp = aep - rep; auto ds = (dp.x + dp.y).abs % 2; a[aep.y][aep.x] = n * n; auto aiv = a.calcInv, riv = r.calcInv; auto ivs = (aiv - riv).abs % 2; if (ds != ivs) { if (n % 2 == 1) foreach (i; 0..n) swap(r[i][0], r[i][$-1]); else foreach (i; 0..n) r[i].reverse(); } writeln("possible"); foreach (i; 0..n) { foreach (j; 0..n) { write(r[i][j]); if (j < n-1) write(" "); } writeln; } } auto findK(int[][] a, int k) { auto n = a.length.to!int; foreach (r; 0..n) foreach (c; 0..n) if (a[r][c] == k) return point(c, r); assert(0); } auto calcInv(int[][] a) { auto n = a.length, bt = BiTree!int(n * n), inv = 0; foreach_reverse (r; 0..n) foreach_reverse (c; 0..n) { inv += bt[0..a[r][c]]; bt[a[r][c]] += 1; } return inv; } auto calc(int n) { if (n % 2 == 1) { return calc1(n); } else if (n % 4 == 0) { return calc2(n); } else { return calc3(n); } } auto calc1(int n) { auto r = new int[][](n, n); auto x = n/2, y = 0; foreach (i; 1..n^^2+1) { r[y][x] = i; auto nx = x + 1, ny = y - 1; if (nx >= n) nx = 0; if (ny < 0) ny = n-1; if (r[ny][nx]) { y += 1; if (y >= n) y = 0; } else { x = nx; y = ny; } } return r; } auto calc2(int n) { auto r = new int[][](n, n); auto isTaikaku(int x, int y) { auto x4 = x % 4, y4 = y % 4; return ((x4 == 0 || x4 == 3) && (y4 == 0 || y4 == 3) || (x4 == 1 || x4 == 2) && (y4 == 1 || y4 == 2)); } foreach (y; 0..n) foreach (x; 0..n) { auto i = x + y * n + 1; if (isTaikaku(x, y)) r[y][x] = i; else r[n-1-y][n-1-x] = i; } return r; } int[][] ml = [[4,1],[2,3]], mu = [[1,4],[2,3]], mx = [[1,4],[3,2]]; auto calc3(int n) { auto m = n/2; auto s = calc1(m); foreach (ref si; s) { si[] -= 1; si[] *= 4; } auto t = new int[][][][](m, m); foreach (y; 0..m) { if (y <= m/2) t[y][] = ml; else if (y == m/2+1) t[y][] = mu; else t[y][] = mx; } swap(t[m/2][m/2], t[m/2+1][m/2]); auto r = new int[][](n, n); foreach (y; 0..m) foreach (x; 0..m) { r[y*2][x*2] = s[y][x] + t[y][x][0][0]; r[y*2][x*2+1] = s[y][x] + t[y][x][0][1]; r[y*2+1][x*2] = s[y][x] + t[y][x][1][0]; r[y*2+1][x*2+1] = s[y][x] + t[y][x][1][1]; } return r; } struct Point(T) { T x, y; pure auto opBinary(string op: "+")(Point!T rhs) const { return Point!T(x + rhs.x, y + rhs.y); } pure auto opBinary(string op: "-")(Point!T rhs) const { return Point!T(x - rhs.x, y - rhs.y); } pure auto opBinary(string op: "*")(Point!T rhs) const { return x * rhs.x + y * rhs.y; } pure auto opBinary(string op: "*")(T a) const { return Point!T(x * a, y * a); } pure auto opBinary(string op: "/")(T a) const { return Point!T(x / a, y / a); } pure auto hypot2() const { return x ^^ 2 + y ^^ 2; } } struct BiTree(T) { const size_t n; T[] buf; this(size_t n) { this.n = n; this.buf = new T[](n + 1); } void opIndexOpAssign(string op: "+")(T val, size_t i) { ++i; for (; i <= n; i += i & -i) buf[i] += val; } pure T opSlice(size_t r, size_t l) const { return get(l) - get(r); } pure size_t opDollar() const { return n; } pure T opIndex(size_t i) const { return opSlice(i, i+1); } private: pure T get(size_t i) const { auto s = T(0); for (; i > 0; i -= i & -i) s += buf[i]; return s; } }