#include using namespace std; #define rep(i, n) for(long long i=0;i<(long long)(n);i++) #define REP(i,k,n) for(long long i=k;i<(long long)(n);i++) #define all(a) a.begin(),a.end() #define pb emplace_back #define eb emplace_back #define lb(v,k) (lower_bound(all(v),k)-v.begin()) #define ub(v,k) (upper_bound(all(v),k)-v.begin()) #define fi first #define se second #define pi M_PI #define PQ(T) priority_queue #define SPQ(T) priority_queue,greater> #define dame(a) {out(a);return 0;} #define decimal cout< P; typedef tuple PP; typedef tuple PPP; typedef multiset S; using vi=vector; using vvi=vector; using vvvi=vector; using vvvvi=vector; using vp=vector

; using vvp=vector; using vb=vector; using vvb=vector; const ll inf=1001001001001001001; const ll INF=1001001001; const ll mod=1000000007; const double eps=1e-10; template bool chmin(T&a,T b){if(a>b){a=b;return true;}return false;} template bool chmax(T&a,T b){if(a void out(T a){cout< void outp(T a){cout<<'('< void outvp(T v){rep(i,v.size())cout<<'('< void outvvp(T v){rep(i,v.size())outvp(v[i]);} template void outv(T v){rep(i,v.size()){if(i)cout<<' ';cout< void outvv(T v){rep(i,v.size())outv(v[i]);} template bool isin(T x,T l,T r){return (l)<=(x)&&(x)<=(r);} template void yesno(T b){if(b)out("yes");else out("no");} template void YesNo(T b){if(b)out("Yes");else out("No");} template void YESNO(T b){if(b)out("YES");else out("NO");} template void noyes(T b){if(b)out("no");else out("yes");} template void NoYes(T b){if(b)out("No");else out("Yes");} template void NOYES(T b){if(b)out("NO");else out("YES");} void outs(ll a,ll b){if(a>=inf-100)out(b);else out(a);} ll gcd(ll a,ll b){if(b==0)return a;return gcd(b,a%b);} ll modpow(ll a,ll b){ll res=1;a%=mod;while(b){if(b&1)res=res*a%mod;a=a*a%mod;b>>=1;}return res;} vector cht; ll id=0; void add(ll a,ll b,ll num){ // out(a);out(b);out(num); while(cht.size()){ if(get<0>(cht.back())==a){ if(b>=get<2>(cht.back()))return; cht.pop_back(); } else break; } while(cht.size()>1){ auto p=cht[cht.size()-2],q=cht.back(); if((a-get<0>(q))*(b-get<1>(p))>(get<1>(q)-b)*(get<0>(p)-a))break; cht.pop_back(); } cht.eb(a,b,num); } P getmi(ll x){ while(id(cht[id])*x+get<1>(cht[id])(cht[id+1])*x+get<1>(cht[id+1]))break; id++; } return P(get<0>(cht[id])*x+get<1>(cht[id]),get<2>(cht[id])); } int main(){ ll n,a,b,w;cin>>n>>a>>b>>w; vi v(n);rep(i,n)cin>>v[i]; vi dp(n+1,inf); ll ans=w+n*(n+1)/2*b-a*n; add(0,w*2,0); REP(i,1,n+1){ ll k=getmi(i).fi+2*v[i-1]+b*(i*i-i)-2*a*(i-1); chmin(ans,k/2+(n-i)*(n-i+1)/2*b-a*(n-i)); add(-2*i*b,k+b*(i*i+i)+2*a*i,0); } out(ans); }