#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define popcount __builtin_popcount using namespace std; typedef long long int ll; typedef pair P; const ll MOD=1e9+7; ll powmod(ll a, ll k){ ll ap=a, ans=1; while(k){ if(k&1){ ans*=ap; ans%=MOD; } ap=ap*ap; ap%=MOD; k>>=1; } return ans; } ll inv(ll a){ return powmod(a, MOD-2); } ll f[1100000], invf[1100000]; void fac(int n){ f[0]=1; for(ll i=1; i<=n; i++) f[i]=f[i-1]*i%MOD; invf[n]=inv(f[n]); for(ll i=n-1; i>=0; i--) invf[i]=invf[i+1]*(i+1)%MOD; } ll comb(int x, int y){ if(!(0<=y && y<=x)) return 0; return f[x]*invf[y]%MOD*invf[x-y]%MOD; } int main() { fac(1002000); int n, m; cin>>n>>m; int s[1010][1010]={}; for(int i=0; i>s[i][j]; ll ans=0; for(int i=0; is[i+1][j]){ (ans+=comb(s[i][j]+i+j, i+j+1)*comb(i+j, i))%=MOD; (ans+=MOD-comb(s[i+1][j]+i+j, i+j+1)*comb(i+j, i)%MOD)%=MOD; //for(int k=s[i+1][j]; ks[i][j+1]){ (ans+=comb(s[i][j]+i+j, i+j+1)*comb(i+j, i))%=MOD; (ans+=MOD-comb(s[i][j+1]+i+j, i+j+1)*comb(i+j, i)%MOD)%=MOD; //for(int k=s[i][j+1]; k