#include using namespace std; #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i=i##_begin_;i--) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) #include using mint = atcoder::modint1000000007; int main() { int N, mp, mq, L; cin >> N >> mp >> mq >> L; vector S(N); for (auto &x : S) cin >> x; vector cnt(N + 1, vector(mq + 1, 0)); cnt[0][0] = 1; for (auto s : S) { IREP(i, cnt.size() - 1) { vector nxt(cnt[i + 1].size() + s + 1); REP(j, cnt[i].size()) { nxt[j + 1] += cnt[i][j]; nxt[j + s + 1] -= cnt[i][j]; } REP(j, cnt[i].size()) nxt[j + 1] += nxt[j], cnt[i + 1][j] += nxt[j]; } } mint ret = 0; vector fac(N + mp + 1, 1); FOR(i, 1, fac.size()) fac[i] = fac[i - 1] * i; REP(sz, cnt.size()) REP(i, cnt[sz].size()) { if (cnt[sz][i].val()) { int rem = mp - (sz * L - i); if (rem < 0) continue; ret += cnt[sz][i] * fac[rem + N - 1] / (fac[rem] * fac[N - 1]); } } cout << ret.val() << '\n'; }