/** * author: nok0 * created: 2020.10.05 18:09:46 **/ #ifdef LOCAL #define _GLIBCXX_DEBUG #endif #include using namespace std; #pragma region Macros #define FOR(i, l, r) for(int i = (l); i < (r); ++i) #define REP(i, n) FOR(i, 0, n) #define REPS(i, n) FOR(i, 1, n + 1) #define RFOR(i, l, r) for(int i = (l); i >= (r); --i) #define RREP(i, n) RFOR(i, n - 1, 0) #define RREPS(i, n) RFOR(i, n, 1) #define pb push_back #define eb emplace_back #define SZ(x) ((int)(x).size()) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() template using V = vector; template using VV = V>; using ll = long long; using ld = long double; using pii = pair; using pll = pair; #define VEC(type, name, size) \ V name(size); \ IN(name) #define VVEC(type, name, h, w) \ VV name(h, V(w)); \ IN(name) #define INT(...) \ int __VA_ARGS__; \ IN(__VA_ARGS__) #define LL(...) \ ll __VA_ARGS__; \ IN(__VA_ARGS__) #define STR(...) \ string __VA_ARGS__; \ IN(__VA_ARGS__) #define CHAR(...) \ char __VA_ARGS__; \ IN(__VA_ARGS__) #define DOUBLE(...) \ DOUBLE __VA_ARGS__; \ IN(__VA_ARGS__) #define LD(...) \ LD __VA_ARGS__; \ IN(__VA_ARGS__) void scan(int &a) { cin >> a; } void scan(long long &a) { cin >> a; } void scan(char &a) { cin >> a; } void scan(double &a) { cin >> a; } void scan(long double &a) { cin >> a; } void scan(char a[]) { scanf("%s", a); } void scan(string &a) { cin >> a; } template void scan(V &); template void scan(pair &); template void scan(V &a) { for(auto &i : a) scan(i); } template void scan(pair &p) { scan(p.first); scan(p.second); } template void scan(T &a) { cin >> a; } void IN() {} template void IN(Head &head, Tail &...tail) { scan(head); IN(tail...); } template inline void print(T x) { cout << x << '\n'; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const pair &p) { os << p.first << " " << p.second; return os; } template ostream &operator<<(ostream &os, const V &v) { REP(i, SZ(v)) { if(i) os << " "; os << v[i]; } return os; } // debug template void view(const V &v) { cerr << "{ "; for(const auto &e : v) { cerr << e << ", "; } cerr << "\b\b }"; } template void view(const VV &vv) { cerr << "{\n"; for(const auto &v : vv) { cerr << "\t"; view(v); cerr << "\n"; } cerr << "}"; } template void view(const V> &v) { cerr << "{\n"; for(const auto &c : v) cerr << "\t(" << c.first << ", " << c.second << ")\n"; cerr << "}"; } template void view(const map &m) { cerr << "{\n"; for(auto &t : m) cerr << "\t[" << t.first << "] : " << t.second << "\n"; cerr << "}"; } template void view(const pair &p) { cerr << "(" << p.first << ", " << p.second << ")"; } template void view(const set &s) { cerr << "{ "; for(auto &t : s) { view(t); cerr << ", "; } cerr << "\b\b }"; } template void view(T e) { cerr << e; } #ifdef LOCAL void debug_out() {} template void debug_out(Head H, Tail... T) { view(H); cerr << ", "; debug_out(T...); } #define debug(...) \ do { \ cerr << __LINE__ << " [" << #__VA_ARGS__ << "] : ["; \ debug_out(__VA_ARGS__); \ cerr << "\b\b]\n"; \ } while(0) #else #define debug(...) (void(0)) #endif template V press(V &x) { V res = x; sort(all(res)); res.erase(unique(all(res)), res.end()); REP(i, SZ(x)) { x[i] = lower_bound(all(res), x[i]) - res.begin(); } return res; } template inline bool chmin(T &a, T b) { if(a > b) { a = b; return true; } return false; } template inline bool chmax(T &a, T b) { if(a < b) { a = b; return true; } return false; } inline void Yes(bool b = true) { cout << (b ? "Yes" : "No") << '\n'; } inline void YES(bool b = true) { cout << (b ? "YES" : "NO") << '\n'; } inline void err(bool b = true) { if(b) { cout << -1 << '\n'; exit(0); } } template inline void fin(bool b = true, T e = 0) { if(b) { cout << e << '\n'; exit(0); } } template T divup(T x, T y) { return (x + (y - 1)) / y; } template T pow(T a, long long n, T e = 1) { T ret = e; while(n) { if(n & 1) ret *= a; a *= a; n >>= 1; } return ret; } struct iofast { iofast() { ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(15); } } iofast_; const int inf = 1e9; const ll INF = 1e18; #pragma endregion struct UnionFind { private: std::vector par; public: UnionFind() = default; UnionFind(size_t n) : par(n, -1) {} int root(int x) { if(par[x] < 0) return x; return par[x] = root(par[x]); } bool same(int x, int y) { return root(x) == root(y); } bool unite(int x, int y) { x = root(x); y = root(y); if(x == y) return false; if(par[x] > par[y]) std::swap(x, y); par[x] += par[y]; par[y] = x; return true; } size_t size(int x) { return -par[root(x)]; } size_t size() const { return par.size(); } }; template struct Matrix { private: std::vector> A; static Matrix I(size_t n) { Matrix mat(n); for(int i = 0; i < n; i++) mat[i][i] = 1; return mat; } public: Matrix() = default; Matrix(std::vector> &vvec) { A = vvec; } Matrix(size_t n, size_t m) : A(n, std::vector(m, 0)) {} Matrix(size_t n, size_t m, T init) : A(n, std::vector(m, init)) {} Matrix(size_t n, std::vector &vec) : A(n, vec) {} Matrix(size_t n) : A(n, std::vector(n, 0)) {} size_t height() const { return A.size(); } size_t width() const { return A[0].size(); } inline const std::vector &operator[](int k) const { return A[k]; } inline std::vector &operator[](int k) { return A[k]; } Matrix &operator+=(const Matrix &B) { size_t n = height(), m = width(); assert(n == B.height() and m == B.width()); for(int i = 0; i < n; i++) for(int j = 0; j < m; j++) (*this)[i][j] += B[i][j]; return *this; } Matrix &operator-=(const Matrix &B) { size_t n = height(), m = width(); assert(n == B.height() and m == B.width()); for(int i = 0; i < n; i++) for(int j = 0; j < m; j++) (*this)[i][j] -= B[i][j]; return *this; } Matrix &operator*=(const Matrix &B) { size_t n = height(), m = B.width(), p = width(); assert(p == B.height()); std::vector> C(n, std::vector(m, 0)); for(int i = 0; i < n; i++) for(int j = 0; j < m; j++) for(int k = 0; k < p; k++) C[i][j] += (*this)[i][k] * B[k][j]; A.swap(C); return *this; } Matrix &operator^=(long long k) { Matrix B = Matrix::I(height()); while(k > 0) { if(k & 1) B *= (*this); *this *= *this; k >>= 1ll; } A.swap(B.A); return *this; } bool operator==(const Matrix &B) { size_t n = height(), m = width(); if(n != B.height() or m != B.width()) return false; for(int i = 0; i < n; i++) for(int j = 0; j < m; j++) if((*this)[i][j] != B[i][j]) return false; return true; } Matrix operator+(const Matrix &B) const { return (Matrix(*this) += B); } Matrix operator-(const Matrix &B) const { return (Matrix(*this) -= B); } Matrix operator*(const Matrix &B) const { return (Matrix(*this) *= B); } Matrix operator^(const long long &k) const { return (Matrix(*this) ^= k); } Matrix &operator+=(const T &t) { int n = height(), m = width(); for(int i = 0; i < n; i++) for(int j = 0; j < m; j++) (*this)[i][j] += t; return *this; } Matrix &operator-=(const T &t) { int n = height(), m = width(); for(int i = 0; i < n; i++) for(int j = 0; j < m; j++) (*this)[i][j] -= t; return *this; } Matrix &operator*=(const T &t) { int n = height(), m = width(); for(int i = 0; i < n; i++) for(int j = 0; j < m; j++) (*this)[i][j] *= t; return *this; } Matrix &operator/=(const T &t) { int n = height(), m = width(); for(int i = 0; i < n; i++) for(int j = 0; j < m; j++) (*this)[i][j] /= t; return *this; } Matrix operator+(const T &t) const { return (Matrix(*this) += t); } Matrix operator-(const T &t) const { return (Matrix(*this) -= t); } Matrix operator*(const T &t) const { return (Matrix(*this) *= t); } Matrix operator/(const T &t) const { return (Matrix(*this) /= t); } friend std::ostream &operator<<(std::ostream &os, Matrix &p) { size_t n = p.height(), m = p.width(); for(int i = 0; i < n; i++) { os << '['; for(int j = 0; j < m; j++) os << p[i][j] << (j == m - 1 ? "]\n" : ","); } return (os); } T determinant() { Matrix B(*this); size_t n = height(), m = width(); assert(n == m); T ret = 1; for(int i = 0; i < n; i++) { int idx = -1; for(int j = i; j < n; j++) if(B[j][i] != 0) idx = j; if(idx == -1) return 0; if(i != idx) { ret *= -1; swap(B[i], B[idx]); } ret *= B[i][i]; T vv = B[i][i]; for(int j = 0; j < n; j++) B[i][j] /= vv; for(int j = i + 1; j < n; j++) { T a = B[j][i]; for(int k = 0; k < n; k++) { B[j][k] -= B[i][k] * a; } } } return ret; } Matrix inv() { int n = height(); if(determinant() == T(0)) return Matrix(0); Matrix a(*(this)), l = I(n), u(n); for(int j = 0; j < n; j++) u[0][j] = a[0][j]; for(int j = 1; j < n; j++) l[j][0] = a[j][0] / u[0][0]; for(int k = 1; k < n; k++) { for(int j = k; j < n; j++) for(int i = 0; i < k; i++) a[j][k] -= l[j][i] * u[i][k]; u[k][k] = a[k][k]; for(int j = k + 1; j < n; j++) { u[k][j] = a[k][j]; for(int i = 0; i < k; i++) u[k][j] -= l[k][i] * u[i][j]; } for(int j = k + 1; j < n; j++) l[j][k] = a[j][k] / u[k][k]; } Matrix x(n), y = I(n); for(int i = 0; i < n; i++) for(int j = 0; j < n; j++) { for(int k = 0; k < j; k++) y[j][i] -= l[j][k] * y[k][i]; } T sigma; for(int h = 0; h < n; h++) for(int i = n - 1; i >= 0; i--) { sigma = y[i][h]; for(int j = i + 1; j < n; j++) { sigma -= u[i][j] * x[j][h]; } x[i][h] = sigma / u[i][i]; } return move(x); } }; // ModInt template struct ModInt { private: long long x; long long ext_gcd(long long a, long long b, long long &x, long long &y) { if(b == 0) { x = 1, y = 0; return a; } long long q = a / b; long long g = ext_gcd(b, a - q * b, x, y); long long z = x - q * y; x = y, y = z; return g; } public: ModInt() : x(0) {} ModInt(long long x_) { if((x = x_ % mod + mod) >= mod) x -= mod; } constexpr ModInt &operator+=(ModInt rhs) { if((x += rhs.x) >= mod) x -= mod; return *this; } constexpr ModInt &operator-=(ModInt rhs) { if((x -= rhs.x) < 0) x += mod; return *this; } constexpr ModInt &operator*=(ModInt rhs) { x = (unsigned long long)x * rhs.x % mod; return *this; } constexpr ModInt &operator/=(ModInt rhs) { x = (unsigned long long)x * rhs.inv().x % mod; return *this; } constexpr ModInt operator-() const noexcept { return -x < 0 ? mod - x : -x; } constexpr ModInt operator+(ModInt rhs) const noexcept { return ModInt(*this) += rhs; } constexpr ModInt operator-(ModInt rhs) const noexcept { return ModInt(*this) -= rhs; } constexpr ModInt operator*(ModInt rhs) const noexcept { return ModInt(*this) *= rhs; } constexpr ModInt operator/(ModInt rhs) const noexcept { return ModInt(*this) /= rhs; } constexpr ModInt &operator++() { *this += 1; return *this; } constexpr ModInt operator++(int) { *this += 1; return *this - 1; } constexpr ModInt &operator--() { *this -= 1; return *this; } constexpr ModInt operator--(int) { *this -= 1; return *this + 1; } bool operator==(ModInt rhs) const { return x == rhs.x; } bool operator!=(ModInt rhs) const { return x != rhs.x; } bool operator<=(ModInt rhs) const { return x <= rhs.x; } bool operator>=(ModInt rhs) const { return x >= rhs.x; } bool operator<(ModInt rhs) const { return x < rhs.x; } bool operator>(ModInt rhs) const { return x > rhs.x; } ModInt inv() { long long x, y; ext_gcd(this->x, mod, x, y); return (ModInt)x; } friend std::ostream &operator<<(std::ostream &s, ModInt a) { s << a.x; return s; } friend std::istream &operator>>(std::istream &s, ModInt &a) { s >> a.x; return s; } }; // Modulo Calculation static int MOD = 2; using mint = ModInt; void solve() { INT(n, p); VVEC(int, a, n, n); if(p != 2) { print(0); return; } assert(false); int sum = 0; REP(i, n) REP(j, n) sum += a[i][j] == -1; Matrix mat(n, n); mint res = 0; REP(i, n) { REP(j, n) { if(a[i][j] == -1) { Matrix mat(n - 1, n - 1); V<> h, w; REP(k, n) { if(k != i) h.pb(k); if(k != j) w.pb(k); } int c = 0; REP(k, n - 1) { REP(l, n - 1) { int val = a[h[k]][w[l]]; if(val == -1) c++; mat[k][l] = !!a[h[k]][w[l]]; } } if(sum - 1 - c) continue; res += mat.determinant(); } } } print(res); } int main() { INT(t); while(t--) solve(); }