#include using namespace std; // using mint = long double; // using mint = atcoder::modint998244353; // using mint = atcoder::modint1000000007; typedef long long ll; typedef pair P; typedef pair T; typedef pair> Pd; const ll INF = 3e18; const ll fact_table = 3000050; /* priority_queue pql; priority_queue

pqp; // big priority queue // priority_queue, greater> pqls; priority_queue, greater

> pqps; // small priority queue // top pop */ ll dx[8] = {1, 0, -1, 0, 1, 1, -1, -1}; ll dy[8] = {0, 1, 0, -1, -1, 1, 1, -1}; //↓,→,↑,← #define p(x) cout << x << "\n"; #define el cout << "\n"; #define pe(x) cout << x << " "; #define ps(x) cout << fixed << setprecision(25) << x << endl; #define pu(x) cout << (x); #define pb push_back #define eb emplace_back #define lb lower_bound #define ub upper_bound #define rep(i, n) for (ll i = 0; i < (n); i++) #define rep2(i, a, b) for (ll i = a; i <= (b); i++) #define rep3(i, a, b) for (ll i = a; i >= (b); i--) #define all(c) begin(c), end(c) #define sorti(v) sort(all(v)) #define sortd(v) \ sort(all(v)); \ reverse(all(v)); #define SUM(v) accumulate(all(v), 0LL) #define MIN(v) *min_element(all(v)) #define MAX(v) *max_element(all(v)) typedef vector vec; typedef vector> mat; // vec v(n) -> 長さnのベクトルを宣言 // mat dp(h, vec(w)) -> h * w の行列を宣言 const ll mod = 1000000007ll; // const ll mod = 998244353ll; ll mypow(ll a, ll b, ll m = mod) { ll x = 1; while (b) { while (!(b & 1)) { (a *= a) %= m; b >>= 1; } (x *= a) %= m; b--; } return x; } vec rv(ll read) { vec res(read); for (int i = 0; i < read; i++) { cin >> res[i]; } return res; } vec fact, rfact; void c3_init() { fact.resize(fact_table + 5); rfact.resize(fact_table + 5); fact[0] = rfact[0] = 1; for (ll i = 1; i <= fact_table; i++) { fact[i] = (fact[i - 1] * i) % mod; } rfact[fact_table] = mypow(fact[fact_table], mod - 2, mod); for (ll i = fact_table; i >= 1; i--) { rfact[i - 1] = rfact[i] * i; rfact[i - 1] %= mod; } return; } ll c3(ll n, ll r) { if (n < r) return 0ll; assert(n >= r); return fact[n] * rfact[r] % mod * rfact[n - r] % mod; } bool icpc = false; bool multicase = false; // 配列の長さ足りてますか? ll n, m, sum; ll a, b, x, y; bool solve() { c3_init(); cin >> a >> b >> x >> y; bool dame = false; if (a < abs(x) + abs(y)) { dame = true; } else if ((a - abs(x) - abs(y) % 2 == 1)) { dame = true; } if (dame) { p(0); return true; } ll ap = 0, an = 0, bp = 0, bn = 0; if (x > 0) { ap = x; } else { an = -x; } if (y > 0) { bp = y; } else { bp = -y; } ll ans = 0ll; for (ll k = 0;; k++) { ll app = ap, bpp = bp, ann = an, bnn = bn; ll res = (a - ap - bp - an - bn) / 2; assert((a - ap - bp - an - bn) % 2 == 0); app += k; ann += k; bpp += res - k; bnn += res - k; if (res - k < 0) break; ll ret = 1ll; ll apc = (b + 4) / 4; ll bpc = (b + 3) / 4; ll anc = (b + 2) / 4; ll bnc = (b + 1) / 4; ret *= c3(apc - 1 + app, apc - 1); if (bpc == 0 && bpp > 0) { ret = 0; } else if (bpc == 0 && bpp == 0) { } else { ret *= c3(bpc - 1 + bpp, bpc - 1); } ret %= mod; if (anc == 0 && ann > 0) { ret = 0; } else if (anc == 0 && ann == 0) { } else { ret *= c3(anc - 1 + ann, anc - 1); } ret %= mod; if (bnc == 0 && bnn > 0) { ret = 0; } else if (bnc == 0 && bnn == 0) { } else { ret *= c3(bnc - 1 + bnn, bnc - 1); } ret %= mod; ans += ret; ans %= mod; if (res - k == 0) break; } p(ans); return true; } /* */ int main() { // ios::sync_with_stdio(false); // cin.tie(nullptr); if (icpc) { while (solve()) ; return 0; } ll q, testcase = 1; if (multicase) { cin >> q; } else { q = 1; } while (q--) { // cout << "Case #" << testcase << ": "; solve(); testcase++; } // solve(); return 0; }