#include #include #include using namespace std; using namespace atcoder; using mint = modint1000000007; #define rep(i,n) for (int i = 0; i < (n); ++i) #define Inf 1000000000 struct combi{ deque kaijou; deque kaijou_; combi(int n){ kaijou.push_back(1); for(int i=1;i<=n;i++){ kaijou.push_back(kaijou[i-1]*i); } mint b=kaijou[n].inv(); kaijou_.push_front(b); for(int i=1;i<=n;i++){ int k=n+1-i; kaijou_.push_front(kaijou_[0]*k); } } mint combination(int n,int r){ if(r>n)return 0; mint a = kaijou[n]*kaijou_[r]; a *= kaijou_[n-r]; return a; } mint junretsu(int a,int b){ mint x = kaijou_[a]*kaijou_[b]; x *= kaijou[a+b]; return x; } mint catalan(int n){ return combination(2*n,n)/(n+1); } }; int main(){ int N,Mp,Mq,L; cin>>N>>Mp>>Mq>>L; vector S(N); rep(i,N){ cin>>S[i]; } vector dp(N+1,vector(Mq+1,0)); dp[0][0] = 1; rep(i,N){ rep(j,N+1){ rep(k,Mq){ dp[j][k+1] += dp[j][k]; } } vector ndp(N+1,vector(Mq+1,0)); rep(j,N+1){ rep(k,Mq+1){ ndp[j][k] += dp[j][k]; if(k!=0)ndp[j][k] -= dp[j][k-1]; if(j!=0 && k!=0){ ndp[j][k] += dp[j-1][k-1]; if(k-1-S[i]>=0){ ndp[j][k] -= dp[j-1][k-1-S[i]]; } } } } swap(dp,ndp); } combi C(1000000); mint ans = 0; rep(i,N+1){ mint t = 0; rep(j,Mq+1){ t = dp[i][j]; if(Mp-L*i+j>=0){ t *= C.junretsu(N-1,Mp-L*i+j); ans += t; } } } cout<