#include #include #include using namespace std; using namespace atcoder; using Mint = modint1000000007; int main(){ unsigned N, M; scanf("%u %u", &N, &M); vector kaijou((N<<1)+1); kaijou[0] = Mint::raw(1); for (unsigned i = 0; i < N<<1; i++){ kaijou[i+1] = kaijou[i]*Mint::raw(i+1); } vector rev_kaijou((N<<1)+1); rev_kaijou[N<<1] = kaijou[N<<1].inv(); for (unsigned i = N<<1; i > 0; i--){ rev_kaijou[i-1] = rev_kaijou[i]*Mint::raw(i); } Mint answer = Mint::raw(N<<1)*kaijou[N<<1]*rev_kaijou[N]*rev_kaijou[N]; for (unsigned i = 0; i < M; i++){ unsigned t, x, y; scanf("%u %u %u", &t, &x, &y); answer -= kaijou[x+y]*rev_kaijou[x]*rev_kaijou[y]*kaijou[(N<<1) - x - y - 1]*(t == 1 ? rev_kaijou[N - x - 1]*rev_kaijou[N - y] :(rev_kaijou[N - y - 1]*rev_kaijou[N - x])); } printf("%u\n", answer.val()); return 0; }