#include #include #include using namespace atcoder; using mint = modint1000000007; using namespace std; #define rep(i,n) for (int i = 0; i < (n); ++i) #define Inf 1000000001 struct combi{ deque kaijou; deque kaijou_; combi(int n){ kaijou.push_back(1); for(int i=1;i<=n;i++){ kaijou.push_back(kaijou[i-1]*i); } mint b=kaijou[n].inv(); kaijou_.push_front(b); for(int i=1;i<=n;i++){ int k=n+1-i; kaijou_.push_front(kaijou_[0]*k); } } mint combination(int n,int r){ if(r>n)return 0; mint a = kaijou[n]*kaijou_[r]; a *= kaijou_[n-r]; return a; } mint junretsu(int a,int b){ mint x = kaijou_[a]*kaijou_[b]; x *= kaijou[a+b]; return x; } mint catalan(int n){ return combination(2*n,n)/(n+1); } }; int main(){ combi C(1000000); int N,M; cin>>N>>M; mint ans = C.junretsu(N,N) * (N*2); rep(_,M){ int t,x,y; scanf("%d %d %d",&t,&x,&y); mint cur = C.junretsu(x,y); if(t==1){ cur *= C.junretsu((N-(x+1)),(N-y)); } else{ cur *= C.junretsu((N-x),(N-(y+1))); } ans -= cur; } cout<