#include using namespace std; typedef long long signed int LL; typedef long long unsigned int LU; #define incID(i, l, r) for(int i = (l) ; i < (r); i++) #define incII(i, l, r) for(int i = (l) ; i <= (r); i++) #define decID(i, l, r) for(int i = (r) - 1; i >= (l); i--) #define decII(i, l, r) for(int i = (r) ; i >= (l); i--) #define inc(i, n) incID(i, 0, n) #define inc1(i, n) incII(i, 1, n) #define dec(i, n) decID(i, 0, n) #define dec1(i, n) decII(i, 1, n) #define inII(v, l, r) ((l) <= (v) && (v) <= (r)) #define inID(v, l, r) ((l) <= (v) && (v) < (r)) #define PB push_back #define EB emplace_back #define MP make_pair #define FI first #define SE second #define PQ priority_queue #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() #define FOR(it, v) for(auto it = v.begin(); it != v.end(); ++it) #define RFOR(it, v) for(auto it = v.rbegin(); it != v.rend(); ++it) template bool setmin(T & a, T b) { if(b < a) { a = b; return true; } else { return false; } } template bool setmax(T & a, T b) { if(b > a) { a = b; return true; } else { return false; } } template bool setmineq(T & a, T b) { if(b <= a) { a = b; return true; } else { return false; } } template bool setmaxeq(T & a, T b) { if(b >= a) { a = b; return true; } else { return false; } } template T gcd(T a, T b) { return (b == 0 ? a : gcd(b, a % b)); } template T lcm(T a, T b) { return a / gcd(a, b) * b; } // ---- ---- LL MOD; LL mod(LL x, LL m = MOD) { return (x % m + m) % m; } pair ex_gcd(LL a, LL b) { if(b == 0) { return MP(1, 0); } auto p = ex_gcd(b, a % b); return MP(p.SE, p.FI - (a / b) * p.SE); } LL inv(LL x, LL m = MOD) { assert(gcd(x, m) == 1); auto p = ex_gcd(x, m); return mod(p.FI, m); } LL promod(LL x, LL y, LL m = MOD) { return mod((x % m) * (y % m), m); } LL divmod(LL x, LL y, LL m = MOD) { return promod(x, inv(y, m), m); } // ---- struct CombMod { LL lim = 0, mod; LL * fact; // fact[i]: i の階乗 LL * finv; // finv[i]: i の階乗の逆元 CombMod() { } CombMod(LL lim, LL mod = MOD) { init(lim, mod); } void init(LL arg_lim, LL arg_mod = MOD) { lim = arg_lim; mod = arg_mod; fact = new LL[lim + 1]; finv = new LL[lim + 1]; fact[0] = 1; inc1(i, lim) { fact[i] = promod(fact[i - 1], i, mod); } finv[lim] = inv(fact[lim], mod); dec(i, lim) { finv[i] = promod(finv[i + 1], i + 1, mod); } } LL P(LL a, LL b) { assert(inII(a, 0, lim) && inII(b, 0, lim)); return (a < b ? 0 : promod(fact[a], finv[a - b], mod)); } LL C(LL a, LL b) { assert(inII(a, 0, lim) && inII(b, 0, lim)); return (a < b ? 0 : promod(P(a, b), finv[b], mod)); } LL H(LL a, LL b) { assert(inII(a, 0, lim) && inII(b, 0, lim) && inII(a + b - 1, -1, lim)); return (a == 0 ? (b == 0) : C(a + b - 1, b)); } }; // ---- LL ex(LL x, LL y, LL MOD = MOD) { LL z[64]; z[0] = x; incID(i, 1, 64) { z[i] = z[i - 1] * z[i - 1] % MOD; } LL v = 1; inc(i, 64) { if((y >> i) & 1) { (v *= z[i]) %= MOD; } } return v; } // ---- LL n, r, g, b; int main() { cin >> n >> r >> g >> b; n++; MOD = 1e9 + 7; CombMod cm(3001); LL ans = 0; incII(y, 0, 1000) { int x = (r + g + b) - 2 * y; int z = n - (2 * x + 3 * y); if(x < 0 || z < 0) { continue; } LL d = cm.fact[x + y + z]; d = promod(d, cm.finv[x]); d = promod(d, cm.finv[y]); d = promod(d, cm.finv[z]); incII(xr, 0, r) { int yr = r - xr; int xgb = x - xr; int ygb = y - yr; if(x < xr || y < yr) { continue; } LL c = d; c = promod(c, cm.C(x, xr)); c = promod(c, cm.C(y, yr)); c = promod(c, ex(2, y)); c = promod(c, cm.C(xgb + yr, g - ygb)); (ans += c) %= MOD; } } cout << ans << endl; return 0; }