#include using namespace std; typedef long long ll; typedef pair p_ll; template void debug(T itr1, T itr2) { auto now = itr1; while(now=0; i--) const ll MOD = pow(10,9)+7; const ll LLINF = pow(2,61)-1; const int INF = pow(2,30)-1; vector fac; void c_fac(int x=pow(10,6)+10) { fac.resize(x,true); rep(i,x) fac[i] = i ? (fac[i-1]*i)%MOD : 1; } ll inv(ll a, ll m=MOD) { ll b = m, x = 1, y = 0; while (b!=0) { int d = a/b; a -= b*d; swap(a,b); x -= y*d; swap(x,y); } return (x+m)%m; } ll nck(ll n, ll k) { return n> a >> b >> c; c_fac(); ll p2[a+b+c] = {}; rep(i,a+b+c) p2[i] = i==0 ? 1 : p2[i-1]*2%MOD; ll result = 0; repr(i,2,a+b+1) { ll xy = nck(a+b-1,a-1); if (i<=a) xy = (xy-nck(a+b-i, a-i)+MOD) % MOD; // cout << count << endl; ll z = p2[(a+b+c-1)-i]*nck((a+b+c-1)-i, c-1)%MOD; z = (z + (p2[(a+b+c-1)-i]-1)*nck((a+b+c-2)-i, c-2)) % MOD; // cout << xy << " " << z << endl; result = (result+xy*z) % MOD; } cout << result << endl; return 0; }