#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; } }; 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++){ ll d = dp[i - 1][j - 1][0]; for(int k = 1; k <= mq; k++){ dp[i][j][k] = (dp[i][j][k] + d) % MOD; d = (d + dp[i - 1][j - 1][k]) % MOD; if(k - s[i - 1] >= 0) d = (d + MOD - dp[i - 1][j - 1][k - s[i - 1]]) % 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; }