#include #include #include #include #include #include #include #include #include #include using namespace std; #define int long long int MOD = 1000000007; template struct comb_util { std::array fc, ifc; comb_util() { fc[0] = 1; for (int i = 1; i <= N; i++) fc[i] = fc[i - 1] * i % MOD; ifc[N] = inv(fc[N]); for (int i = N - 1; i >= 0; i--) ifc[i] = ifc[i + 1] * (i + 1) % MOD; } Int fact(Int n) { return fc[n]; } Int inv_fact(Int n) { return ifc[n]; } Int inv(Int n) { return pow(n, MOD - 2); } Int pow(Int n, Int a) { Int res = 1, exp = n; for (; a; a /= 2) { if (a & 1) res = res * exp % MOD; exp = exp * exp % MOD; } return res; } Int perm(Int n, Int r) { if (r < 0 || n < r) return 0; else return fc[n] * ifc[n - r] % MOD; } Int binom(Int n, Int r) { if (n < 0 || r < 0 || n < r) return 0; return fc[n] * ifc[r] % MOD * ifc[n - r] % MOD; } Int homo(Int n, Int r) { if (n < 0 || r < 0) return 0; return r == 0 ? 1 : binom(n + r - 1, r); } }; using comb = comb_util; comb cb; int myhash(int a, int b, int c) { if (a > b) { swap(a, b); } if (b > c) { swap(c, b); } if (a > b) { swap(a, b); } return a * 1000000 + b * 1000 + c; } void unhash(int &a,int &b,int &c,int h) { c = h % 1000; h /= 1000; b = h % 1000; h /= 1000; a = h; } signed main() { cin.tie(0); ios::sync_with_stdio(false); int N, A, B, C; cin >> N >> A >> B >> C; int res = 0; int t; int x1, x2, x3; int tt; if (A + B + C > (2.0*3.0) * (N + 1)) { cout << 0 << endl; return 0; } for (int x = 0; x <= A + B + C; x++) { int y = (A + B + C - x) / 2; if (x + 2 * y == A + B + C) { if (x + 2 * y + x + y <= N + 1) { t = 0; t = cb.homo(x + y + 1, N + 1 - 2 * x - 3 * y); //cerr << x << " " << y<<" " << t << endl; t = (t* cb.pow(2, y)) % MOD; t = (t* cb.binom(x + y, y)) % MOD; for (int a = 0; a <= A; a++) { for (int b = 0; b <= B; b++) { int c = x - a - b; if (c < 0) { break; } if (c <= C) { x1 = (A - a + B - b - C + c) / 2; x2 = (A - a - B + b + C - c) / 2; x3 = (-A + a + B - b + C - c) / 2; if (x1 >= 0 && x2 >= 0 && x3 >= 0) { tt = t; tt = (tt* cb.fact(x)) % MOD; tt = (tt* cb.inv_fact(a)) % MOD; tt = (tt* cb.inv_fact(b)) % MOD; tt = (tt* cb.inv_fact(c)) % MOD; tt = (tt* cb.fact(y)) % MOD; tt = (tt* cb.inv_fact(x1)) % MOD; tt = (tt* cb.inv_fact(x2)) % MOD; tt = (tt* cb.inv_fact(x3)) % MOD; //cerr << a << " " << b << " " << c; //cerr << x1 << " " << x2 << " " << x3; //cerr << tt << endl; //cerr << endl; res = (res + tt) % MOD; } } } } } } } cout << res << endl; }