#include #define rep(i,a,b) for(int i=a;i=b;i--) #define fore(i,a) for(auto &i:a) #pragma GCC optimize ("-O3") using namespace std; void _main(); int main() { cin.tie(0); ios::sync_with_stdio(false); _main(); } //--------------------------------------------------------------------------------------------------- template struct ModInt { static const int Mod = MOD; unsigned x; ModInt() : x(0) { } ModInt(signed sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; } ModInt(signed long long sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; } int get() const { return (int)x; } ModInt &operator+=(ModInt that) { if ((x += that.x) >= MOD) x -= MOD; return *this; } ModInt &operator-=(ModInt that) { if ((x += MOD - that.x) >= MOD) x -= MOD; return *this; } ModInt &operator*=(ModInt that) { x = (unsigned long long)x * that.x % MOD; return *this; } ModInt &operator/=(ModInt that) { return *this *= that.inverse(); } ModInt operator+(ModInt that) const { return ModInt(*this) += that; } ModInt operator-(ModInt that) const { return ModInt(*this) -= that; } ModInt operator*(ModInt that) const { return ModInt(*this) *= that; } ModInt operator/(ModInt that) const { return ModInt(*this) /= that; } ModInt inverse() const { long long a = x, b = MOD, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; std::swap(a, b); u -= t * v; std::swap(u, v); } return ModInt(u); } bool operator==(ModInt that) const { return x == that.x; } bool operator!=(ModInt that) const { return x != that.x; } ModInt operator-() const { ModInt t; t.x = x == 0 ? 0 : Mod - x; return t; } }; template ostream& operator<<(ostream& st, const ModInt a) { st << a.get(); return st; }; template ModInt operator^(ModInt a, unsigned long long k) { ModInt r = 1; while (k) { if (k & 1) r *= a; a *= a; k >>= 1; } return r; } template struct Comb { vector fac, ifac; Comb() {fac.resize(FAC_MAX, 1); ifac.resize(FAC_MAX, 1);rep(i, 1, FAC_MAX) fac[i] = fac[i - 1] * i; rep(i, 1, FAC_MAX) ifac[i] = T(1) / fac[i];} T aPb(int a, int b) { if (b < 0 || a < b) return T(0); return fac[a] * ifac[a - b]; } T aCb(int a, int b) { if (b < 0 || a < b) return T(0); return fac[a] * ifac[a - b] * ifac[b]; } T nHk(int n, int k) { if (n < 0 || k < 0) return 0; if (n == 0) return T(1); return aCb(n + k - 1, k); } }; typedef ModInt<1000000007> mint; /*---------------------------------------------------------------------------------------------------             ∧_∧       ∧_∧  (´<_` )  Welcome to My Coding Space!      ( ´_ゝ`) /  ⌒i     /   \    | |     /   / ̄ ̄ ̄ ̄/  |   __(__ニつ/  _/ .| .|____      \/____/ (u ⊃ ---------------------------------------------------------------------------------------------------*/ int N, R, G, B; Comb com; //--------------------------------------------------------------------------------------------------- void _main() { cin >> N >> R >> G >> B; mint ans = 0; rep(two, 0, N) rep(r, 0, min(R, two) + 1) { int one = R + G + B - two * 2; int mi = two * 3 - 1 + one * 2; if (N < mi or one < 0 or min(G, B) < two - r) continue; //printf("%d %d %d\n", one , two, r); int rest = N - two * 2 - one - two - one + 1; int all = one + two + 1; //printf("%d %d\n", rest, all); mint place = com.aCb(one + two, two) * com.nHk(all, rest); mint color = com.aCb(two, r) * (mint(2) ^ two); color *= com.aCb(one, R - r); color *= com.aCb(r + one - (R - r), G - (two - r)); ans += place * color; } cout << ans << endl; }