#include #include #include using namespace std; typedef long long ll; const ll MOD = 1000000007; long long modpow(long long x, long long n){ long long res = 1; long long mul = x; while(n){ if(n % 2) res = res * mul % MOD; mul = mul * mul % MOD; n /= 2; } return res; } struct Combination { int maxn; std::vector fact; std::vector ifact; Combination(int maxn) : maxn(maxn){ fact.resize(maxn + 1); ifact.resize(maxn + 1); fact[0] = 1; for(int i = 1; i <= maxn; i++) fact[i] = fact[i - 1] * i % MOD; ifact[maxn] = modpow(fact[maxn], MOD - 2); for(int i = maxn - 1; i >= 0; i--) ifact[i] = ifact[i + 1] * (i + 1) % MOD; } long long com(int n, int k){ if(n < 0 || k > n || k < 0) return 0; if(k == n || k == 0) return 1; return (fact[n] * ifact[k] % MOD) * ifact[n - k] % MOD; } }; template struct SegmentTree { using F = function; const F f; const T e; int n; vector seg; SegmentTree(int nn, const F f, const T e) : f(f), e(e){ n = 1; while(n <= nn) n <<= 1; seg.assign(n * 2, e); } void set(int i, T x){ seg[i + n] = x; } void build(){ for(int k = n - 1; k > 0; k--){ seg[k] = f(seg[k * 2], seg[k * 2 + 1]); } } void update(int i, T x){ int k = i + n; seg[k] = x; while(k >>= 1){ seg[k] = f(seg[k * 2], seg[k * 2 + 1]); } } T query(int l, int r){ l += n, r += n; T L = e, R = e; for(; l != r; l >>= 1, r >>= 1){ if(l % 2) L = f(L, seg[l++]); if(r % 2) R = f(seg[--r], R); } return f(L, R); } T operator[](const int i)const { return seg[i + n]; } template int right_bound_sub(int k, const C &check, T x){ while(k < n){ if(check(f(x, seg[k * 2]))){ k = k * 2; } else{ x = f(x, seg[k * 2]); k = k * 2 + 1; } } return k - n; } template int right_bound(int i, const C &check){ T x = e; for(int l = i + n, r = n * 2; l != r; l >>= 1, r >>= 1){ if(l % 2){ if(check(f(x, seg[l]))){ return right_bound_sub(l, check, x); } x = f(x, seg[l]); l++; } } return -1; } template int left_bound_sub(int k, const C &check, T x){ while(k < n){ if(check(f(seg[k * 2 + 1], x))){ k = k * 2 + 1; } else{ x = f(seg[k * 2 + 1], x); k = k * 2; } } return k - n; } template int left_bound(int i, const C &check){ T x = e; for(int l = n, r = i + n; l != r; l >>= 1, r >>= 1){ if(r % 2){ if(check(f(seg[--r], x))){ return left_bound_sub(r, check, x); } x = f(x, seg[r]); } } return -1; } }; ll dp[42][42][20002]; int main() { int n, mp, mq, l; cin >> n >> mp >> mq >> l; int s[42]; for(int i = 0; i < n; i++) cin >> s[i]; dp[0][0][0] = 1; for(int i = 1; i <= n; i++){ for(int j = 0; j < i; j++){ for(int k = 0; k <= mq; k++) dp[i][j][k] = dp[i - 1][j][k]; } for(int j = 1; j <= i; j++){ SegmentTree seg(mq + 1, [](ll a, ll b){return (a + b) % MOD;}, 0); for(int k = 0; k <= mq; k++) seg.set(k, dp[i - 1][j - 1][k]); seg.build(); for(int k = 1; k <= mq; k++){ dp[i][j][k] = (dp[i][j][k] + seg.query(max(0, k - s[i - 1]), k)) % MOD; } } } Combination com(mq + mp + n); ll ans = 0; for(int j = 0; j <= n; j++){ for(int k = 0; k <= mq; k++){ ll x = mp + k - j * l; ans = (ans + dp[n][j][k] * com.com(x + n - 1, n - 1)) % MOD; } } cout << ans << endl; }