#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>> 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...); } using mint = modint1000000007; void debug_mint1(vector &vec) { for (int i = 0; i < vec.size(); i++) { cerr << vec[i].val() << " "; } cerr << endl; } void debug_mint2(vector> &vec) { for (int i = 0; i < vec.size(); i++) { for (int j = 0; j < vec[i].size(); j++) { cerr << vec[i][j].val() << " "; } cerr << endl; } } int main() { ll N, M, D1, D2; cin >> N >> M >> D1 >> D2; ll coef = M - 1 - D1 * (N - 1); if (coef < 0){ cout << 0 << endl; return 0; } vector fact(1000002); fact[0] = mint(1); for (ll i = 0; i < 1000001; i++){ fact[i + 1] = fact[i] * mint(i + 1); } vector finv(1000002); for (ll i = 0; i < 1000002; i++){ finv[i] = mint(1) / fact[i]; } auto comb = [&fact, &finv](ll n, ll r) -> mint{ if (n < r){ return mint(0); } else if (r < 0){ return mint(0); } return fact[n] * finv[n - r] * finv[r]; }; // 二項定理 vector pos(M + 1, 0); for (ll i = 0; i <= N - 1; i++){ ll pr = (D2 - D1 + 1) * i; if (pr > M){ break; } pos[pr] = comb(N - 1, i); if (i % 2 == 1){ pos[pr] *= mint(mod1 - 1); } } vector neg(M + 1, 0); for (ll i = 0; i < M + 1; i++){ neg[i] = comb(i + N, N); } // debug(coef); // debug_mint1(pos); // debug_mint1(neg); mint ans = 0; for (ll i = 0; i <= coef; i++){ ans += pos[i] * neg[coef - i]; } cout << ans.val() << endl; }