#include // #include //using namespace atcoder; // tabaicho see https://boostjp.github.io/tips/multiprec-int.html //#include // using namespace boost::multiprecision; // cpp_int // int128_t // int256_t // int512_t // int1024_t // uint128_t // uint256_t // uint512_t // uint1024_t #define int long long #define inf 1000000007 // #define inf 998244353 #define pa pair #define ll long long #define PI 3.14159265358979323846 #define mp make_pair #define pb push_back #define EPS (1e-8) using namespace std; int dx[8]={0,1,0,-1,1,1,-1,-1}; int dy[8]={1,0,-1,0,-1,1,1,-1}; class pa3{ public: int x; int y,z; pa3(int x=0,int y=0,int z=0):x(x),y(y),z(z) {} bool operator < (const pa3 &p) const{ if(x!=p.x) return x (const pa3 &p) const{ if(x!=p.x) return x>p.x; if(y!=p.y) return y>p.y; return z>p.z; //return x != p.x ? x (const pa4 &p) const{ if(x!=p.x) return x>p.x; if(y!=p.y) return y>p.y; if(z!=p.z)return z>p.z; return w>p.w; //return x != p.x ? x (const pa2 &p) const{ return x != p.x ? xb) return Gcd(b,v); if(v==b) return b; if(b%v==0) return v; return Gcd(v,b%v); } int extgcd(int a, int b, int &x, int &y) { if (b == 0) { x = 1; y = 0; return a; } int d = extgcd(b, a%b, y, x); y -= a/b * x; return d; } pa operator+(const pa & l,const pa & r) { return {l.first+r.first,l.second+r.second}; } pa operator-(const pa & l,const pa & r) { return {l.first-r.first,l.second-r.second}; } ostream& operator<<(ostream& os, const vector& VEC){ for(auto v:VEC)os<& VEC){ for(auto v:VEC)os<& VEC){ for(auto v:VEC){ os<nn || nn<0) return 0; int r=pr[nn]*inv[rr]; r%=mod; r*=inv[nn-rr]; r%=mod; return r; } void gya(int ert){ pr[0]=1; for(int i=1;i<=ert;i++){ pr[i]=((ll)pr[i-1]*i)%mod; } inv[ert]=beki(pr[ert],mod-2,mod); for(int i=ert-1;i>=0;i--){ inv[i]=(ll)inv[i+1]*(i+1)%mod; } } // cin.tie(0); // ios::sync_with_stdio(false); //priority_queue,greater> pq; //sort(ve.begin(),ve.end(),greater()); // mt19937(clock_per_sec); // mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count()) ; int beki2(int wa,ll rr){ if(rr==0) return 1; if(rr==1) return wa; //wa%=warukazu; if(rr%2==1) return ((ll)beki2(wa,rr-1)*(ll)wa)%mod; ll zx=beki2(wa,rr/2); return (zx*zx)%mod; } int beki3(int a,int b){ int ANS=1; int be=a; while(b){ if(b&1){ ANS*=be; ANS%=mod; } be*=be; be%=mod; b/=2; } return ANS; } int dp[70][1000]; void solve(){ int n,m; cin>>n>>m; setse[2]; gya(400040); int ans=0; for(int i=0;i>yyy>>y>>yy; if(yyy==1){ ans+=comb(y+yy,y)*comb(n-y+n-yy-1,n-y-1)%mod; } else{ ans+=comb(y+yy,y)*comb(n-y+n-yy-1,n-y)%mod; } } // cout<>n; for(int i=0;i