#include #include #include using namespace std; const long long md = 1000000007; long long ft[4000009], rt[4000009]; long long fp(long long n, long long k) { long long s = 1; while (k) { if (k & 1) s = (s * n) % md; n = (n * n) % md; k /= 2; } return s; } long long cb(int n, int k) { if (n < k) return 0; return (((ft[n] * rt[k]) % md) * rt[n - k]) % md; } int main() { ios::sync_with_stdio(false); cin.tie(0); int a, b, x, y; cin >> a >> b >> x >> y; if (((a + abs(x) + abs(y)) & 1) || abs(x) + abs(y) > a) { cout << 0 << '\n'; return 0; } if (!a) { cout << 1 << '\n'; return 0; } if (!b) { if (x == a && !y) cout << 1 << '\n'; else cout << 0 << '\n'; return 0; } int n = a + b + 1 + abs(x) + abs(y); ft[0] = rt[0] = 1; for (int i = 1; i <= n; i++) ft[i] = (ft[i - 1] * i) % md; rt[n] = fp(ft[n], md - 2); for (int i = n - 1; i >= 1; i--) rt[i] = (rt[i + 1] * (i + 1)) % md; int c[4] = { 0, 0, 0, 0 }, r[4] = { 0, 0, 0, 0 }, tp = 0; for (int i = 0; i <= b; i++) { c[tp]++; tp = (tp + 1) % 4; } if (x > 0) r[0] = x; else r[2] = -x; if (y > 0) r[1] = y; else r[3] = -y; a = (a - (abs(x) + abs(y))) / 2; long long ans = 0; r[1] += a; r[3] += a; for (int i = 0; i <= a; i++) { long long s = 1; for (int j = 0; j < 4; j++) if (r[j]) s = (s * cb(c[j] + r[j] - 1, r[j])) % md; ans = (ans + s) % md; r[0]++; r[1]--; r[2]++; r[3]--; } cout << ans << '\n'; return 0; }