#include // #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; // using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> // using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } ll my_pow(ll x, ll n, ll mod) { //  繰り返し二乗法.x^nをmodで割った余り. ll ret; if (n == 0) { ret = 1; } else if (n % 2 == 1) { ret = (x * my_pow((x * x) % mod, n / 2, mod)) % mod; } else { ret = my_pow((x * x) % mod, n / 2, mod); } return ret; } ll inv(ll x, ll mod) { return my_pow(x, mod - 2, mod); } ll comb(ll n, ll r, vector &fact, vector &fact_inv) { if (r < 0) { return 0; } if (n < r) { return 0; } ll ret = fact[n]; ret = (ret * fact_inv[n - r]) % mod1; ret = (ret * fact_inv[r]) % mod1; return ret; } ll nhr(ll n, ll r, vector &fact, vector &fact_inv) { if (r == 0) { return 1LL; } return comb(n + r - 1, r, fact, fact_inv); } int main() { ll A, B, X, Y; cin >> A >> B >> X >> Y; vector fact(2000002); fact[0] = 1; for (ll i = 0; i <= 2000000; i++) { fact[i + 1] = (fact[i] * (i + 1)) % mod1; } vector fact_inv(2000002); fact_inv[0] = 1; for (ll i = 0; i <= 2000000; i++) { fact_inv[i] = inv(fact[i], mod1); } ll ans = 0; for (ll x = 0; x <= A; x++) { ll x_plus = x; ll x_minus = x_plus - X; if (x_minus < 0) { continue; } ll ypsub = Y + A - x_plus - x_minus; if (ypsub % 2 != 0 || ypsub < 0) { continue; } ll y_plus = ypsub / 2; ll y_minus = y_plus - Y; if (y_minus < 0) { continue; } // debug_out(x_plus, y_plus, x_minus, y_minus); ll anssub = nhr(B / 4 + 1, x_plus, fact, fact_inv); anssub *= nhr((B + 3) / 4, y_plus, fact, fact_inv); anssub %= mod1; anssub *= nhr((B + 2) / 4, x_minus, fact, fact_inv); anssub %= mod1; anssub *= nhr((B + 1) / 4, y_minus, fact, fact_inv); anssub %= mod1; ans += anssub; ans %= mod1; } cout << ans << endl; }