#include #include #include namespace nachia{ template struct MatrixModulo{ private: int h; int w; std::vector elems; public: MatrixModulo(int new_h, int new_w){ h = new_h; w = new_w; elems.assign(h * w, 0); } MatrixModulo(const MatrixModulo&) = default; int height() const { return h; } int width() const { return w; } typename std::vector::iterator operator[](int y){ return elems.begin() + (y * w); } typename std::vector::const_iterator operator[](int y) const { return elems.begin() + (y * w); } static MatrixModulo identity(int idx){ auto res = MatrixModulo(idx, idx); for(int i = 0; i < idx; i++) res[i][i] = 1; return res; } MatrixModulo operator*(const MatrixModulo& r) const { assert(width() == r.height()); auto res = MatrixModulo(h, r.w); for (int i=0; i=i; k--) g[j][k] -= g[j][i] * g[i][k]; } return ans; } int rank() const { MatrixModulo g = *this; int y = 0; for (int d=0; d=d; j--) g[i][j] -= g[i][d] * g[y][j]; y++; } return y; } MatrixModulo linear_equation() const { MatrixModulo g = *this; int y = 0; std::vector> det_var; std::vector rank_var; for (int d=0; d=d; j--) g[i][j] -= g[i][d] * g[y][j]; det_var.push_back(std::make_pair(d,y)); y++; } for (int i=y; i #include #include using namespace std; using i64 = long long; using u64 = unsigned long long; using i32 = int; using u32 = unsigned int; #define rep(i,n) for(int i=0; i<(int)(n); i++) using modint = atcoder::static_modint<1'000'000'007>; using matrix = nachia::MatrixModulo; int main() { i64 L,N,M; cin >> L >> N >> M; vector K(M); rep(i,N) cin >> K[i]; vector exK(N, 0); for(auto a : K) exK[a-1] = 1; vector I(N+1); I[0] = 1; rep(i,N) I[i+1] = I[i] + i+2; matrix G(I[N]+1, I[N]+1); rep(i,N) G[0][I[i]] += 1; rep(s,N) rep(t,N) if(s != t) for(int ss=I[s]; ss