#include using namespace std; typedef signed long long ll; #undef _P #define _P(...) (void)printf(__VA_ARGS__) #define FOR(x,to) for(x=0;x<(to);x++) #define FORR(x,arr) for(auto& x:arr) #define ITR(x,c) for(__typeof(c.begin()) x=c.begin();x!=c.end();x++) #define ALL(a) (a.begin()),(a.end()) #define ZERO(a) memset(a,0,sizeof(a)) #define MINUS(a) memset(a,0xff,sizeof(a)) //------------------------------------------------------- int H,W; int S[1010][1010]; const ll mo=1000000007; ll comb(ll N_, ll C_) { const int NUM_=1400001; static ll fact[NUM_+1],factr[NUM_+1],inv[NUM_+1]; if (fact[0]==0) { inv[1]=fact[0]=factr[0]=1; for (int i=2;i<=NUM_;++i) inv[i] = inv[mo % i] * (mo - mo / i) % mo; for (int i=1;i<=NUM_;++i) fact[i]=fact[i-1]*i%mo, factr[i]=factr[i-1]*inv[i]%mo; } if(C_<0 || C_>N_) return 0; return factr[C_]*fact[N_]%mo*factr[N_-C_]%mo; } void solve() { int i,j,k,l,r,x,y; string s; cin>>H>>W; FOR(y,H) FOR(x,W) { cin>>S[y][x]; } ll ret=0; FOR(y,H) FOR(x,W) { //最後に-1 ret+=comb(y+x,x)*comb(S[y][x]-1+y+x,y+x)%mo; //最後に縦 // sum(Comb(0+m,0)~comb(n+m,n))=comb(n+m+1,n)を利用 ll a=comb(S[y][x]-1+x+y+1,S[y][x]-1); ll b=comb(S[y+1][x]-1+x+y+1,S[y+1][x]-1); (ret+=(a-b)*comb(x+y,x))%=mo; ll c=comb(S[y][x+1]-1+x+y+1,S[y][x+1]-1); (ret+=(a-c)*comb(x+y,x))%=mo; } cout<<(ret%mo+mo)%mo<