#include using i64 = long long; template constexpr T power(T a, i64 b) { T res = 1; for (; b; b /= 2, a *= a) { if (b % 2) { res *= a; } } return res; } constexpr i64 mul(i64 a, i64 b, i64 p) { i64 res = a * b - i64(1.L * a * b / p) * p; res %= p; if (res < 0) { res += p; } return res; } template struct MLong { i64 x; constexpr MLong() : x{} {} constexpr MLong(i64 x) : x{norm(x % getMod())} {} static i64 Mod; constexpr static i64 getMod() { if (P > 0) { return P; } else { return Mod; } } constexpr static void setMod(i64 Mod_) { Mod = Mod_; } constexpr i64 norm(i64 x) const { if (x < 0) { x += getMod(); } if (x >= getMod()) { x -= getMod(); } return x; } constexpr i64 val() const { return x; } explicit constexpr operator i64() const { return x; } constexpr MLong operator-() const { MLong res; res.x = norm(getMod() - x); return res; } constexpr MLong inv() const { assert(x != 0); return power(*this, getMod() - 2); } constexpr MLong &operator*=(MLong rhs) & { x = mul(x, rhs.x, getMod()); return *this; } constexpr MLong &operator+=(MLong rhs) & { x = norm(x + rhs.x); return *this; } constexpr MLong &operator-=(MLong rhs) & { x = norm(x - rhs.x); return *this; } constexpr MLong &operator/=(MLong rhs) & { return *this *= rhs.inv(); } friend constexpr MLong operator*(MLong lhs, MLong rhs) { MLong res = lhs; res *= rhs; return res; } friend constexpr MLong operator+(MLong lhs, MLong rhs) { MLong res = lhs; res += rhs; return res; } friend constexpr MLong operator-(MLong lhs, MLong rhs) { MLong res = lhs; res -= rhs; return res; } friend constexpr MLong operator/(MLong lhs, MLong rhs) { MLong res = lhs; res /= rhs; return res; } friend constexpr std::istream &operator>>(std::istream &is, MLong &a) { i64 v; is >> v; a = MLong(v); return is; } friend constexpr std::ostream &operator<<(std::ostream &os, const MLong &a) { return os << a.val(); } friend constexpr bool operator==(MLong lhs, MLong rhs) { return lhs.val() == rhs.val(); } friend constexpr bool operator!=(MLong lhs, MLong rhs) { return lhs.val() != rhs.val(); } }; template<> i64 MLong<0LL>::Mod = 1; template struct MInt { int x; constexpr MInt() : x{} {} constexpr MInt(i64 x) : x{norm(x % getMod())} {} static int Mod; constexpr static int getMod() { if (P > 0) { return P; } else { return Mod; } } constexpr static void setMod(int Mod_) { Mod = Mod_; } constexpr int norm(int x) const { if (x < 0) { x += getMod(); } if (x >= getMod()) { x -= getMod(); } return x; } constexpr int val() const { return x; } explicit constexpr operator int() const { return x; } constexpr MInt operator-() const { MInt res; res.x = norm(getMod() - x); return res; } constexpr MInt inv() const { assert(x != 0); return power(*this, getMod() - 2); } constexpr MInt &operator*=(MInt rhs) & { x = 1LL * x * rhs.x % getMod(); return *this; } constexpr MInt &operator+=(MInt rhs) & { x = norm(x + rhs.x); return *this; } constexpr MInt &operator-=(MInt rhs) & { x = norm(x - rhs.x); return *this; } constexpr MInt &operator/=(MInt rhs) & { return *this *= rhs.inv(); } friend constexpr MInt operator*(MInt lhs, MInt rhs) { MInt res = lhs; res *= rhs; return res; } friend constexpr MInt operator+(MInt lhs, MInt rhs) { MInt res = lhs; res += rhs; return res; } friend constexpr MInt operator-(MInt lhs, MInt rhs) { MInt res = lhs; res -= rhs; return res; } friend constexpr MInt operator/(MInt lhs, MInt rhs) { MInt res = lhs; res /= rhs; return res; } friend constexpr std::istream &operator>>(std::istream &is, MInt &a) { i64 v; is >> v; a = MInt(v); return is; } friend constexpr std::ostream &operator<<(std::ostream &os, const MInt &a) { return os << a.val(); } friend constexpr bool operator==(MInt lhs, MInt rhs) { return lhs.val() == rhs.val(); } friend constexpr bool operator!=(MInt lhs, MInt rhs) { return lhs.val() != rhs.val(); } }; template<> int MInt<0>::Mod = 1; template constexpr MInt

CInv = MInt

(V).inv(); using Z = MInt<0>; using u64 = unsigned long long; Z det(std::vector> a) { int n = a.size(); Z ans = 1; for (int i = 0; i < n; i++) { int j = i; while (j < n && a[j][i] == 0) { j++; } if (j == n) return 0; if (i != j) { std::swap(a[i], a[j]); ans *= -1; } ans *= a[i][i]; auto v = Z(a[i][i]).inv(); for (int j = i; j < n; j++) { a[i][j] *= v; } for (int j = i + 1; j < n; j++) { Z v = a[j][i]; for (int k = i; k < n; k++) { a[j][k] -= a[i][k] * v; } } } return ans; } void solve() { int N, P; std::cin >> N >> P; Z::setMod(P); int m = 0; if (P != 2) { std::vector A(N, std::vector(N)); for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { int x; std::cin >> x; if (x == -1) { m += 1; } else { A[i][j] = x; } } } auto ans = det(A); if (m > 0) { ans = 0; } std::cout << ans << "\n"; } else { std::vector A(N, std::vector(N)); for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { int x; std::cin >> x; if (x == -1) { m += 1; A[i][j] = 1; } else { A[i][j] = x * 2; } } } u64 M = 1LL << (N + 1); M -= 1; u64 ans = 1; for (int i = 0; i < N; i++) { for (int j = i + 1; j < N; j++) { while (A[j][i]) { std::swap(A[i], A[j]); ans = -ans & M; u64 t = A[j][i] / A[i][i]; for (int k = i; k < N; k++) { A[j][k] -= A[i][k] * t; A[j][k] &= M; } } } ans *= A[i][i]; ans &= M; } if (m > 60) { ans = 0; } else { ans <<= m; } ans &= M; ans >>= N; std::cout << ans << "\n"; } } int main() { std::ios::sync_with_stdio(false); std::cin.tie(nullptr); int T; std::cin >> T; while (T--) { solve(); } return 0; }