/** * @FileName a.cpp * @Author kanpurin * @Created 2020.10.15 03:02:41 **/ #include "bits/stdc++.h" using namespace std; typedef long long ll; template struct ConvexHullTrick { private: using P = pair; deque

deq; inline bool check(P l, P m, P r) { return (m.first-l.first)*(r.second-m.second) >= (m.second-l.second)*(r.first-m.first); } public: ConvexHullTrick() {} void add_query(T a, T b) { if (deq.size() <= 1) { deq.push_back(make_pair(a,b)); return; } P m = deq.back(); deq.pop_back(); while(!deq.empty() && check(deq.back(),m,{a,b})) { m = deq.back(); deq.pop_back(); } deq.push_back(m); deq.push_back({a,b}); } T get_query(T x) { P m = deq.front(); deq.pop_front(); while(!deq.empty() && m.first * x + m.second >= deq.front().first * x + deq.front().second) { m = deq.front(); deq.pop_front(); } deq.push_front(m); return m.first * x + m.second; } }; int main() { ConvexHullTrick cht; ll n,a,b,w;cin >> n >> a >> b >> w; vector dp(n+1); dp[0] = 0; cht.add_query(0,a); constexpr long long LLINF = 1e18 + 1; for (ll i = 1; i <= n; i++) { ll d;cin >> d; dp[i] = cht.get_query(i)-i*a+i*(i-1)/2*b+d; cht.add_query(-b*i,dp[i]+(i+1)*a+i*(i+1)/2*b); } ll ans = cht.get_query(n+1)-(n+1)*a+(n+1)*n/2*b; cout << min(dp[n],ans) + w << endl; return 0; }