#include<bits/stdc++.h> #define int long long using namespace std; inline int read() { register int x=0,f=0;register char c=getchar(); while(c<'0'||c>'9')f=(c=='-'),c=getchar(); while(c>='0'&&c<='9')x=(x<<3)+(x<<1)+(c&15),c=getchar(); return f?-x:x; } const int MAXN=1e6; int n,a,b,w,d[MAXN],dp[MAXN]; long double Y(int i){ return 1.0*(dp[i]+i*a+1.0*b*(i*i+i)/2); } long double X(int i){ return 1.0*i; } long double K(int j1,int j2){ return 1.0*(Y(j1)-Y(j2))/(X(j1)-X(j2)); } int q[MAXN],head,tail; signed main() { // freopen("chips.in","r",stdin); // freopen("chips.out","w",stdout); memset(dp,0x3f,sizeof dp); n=read();a=read();b=read();w=read(); // for(int i=1;i<=n;i++)dp[i]=1e18; for(int i=1;i<=n;i++)d[i]=read(); dp[0]=w; head=1;tail=1;q[1]=0; for(int i=1;i<=n;i++){ while(head<tail && 1.0*(Y(q[head])-Y(q[head+1]))>=i*b*(X(q[head])-X(q[head+1])))head++; // while(head<tail && K(q[head],q[head+1])<=1.0*i*b)head++; int j=q[head]; dp[i]=dp[j]-(i-j-1)*a+d[i]+b*(i-j-1)*(i-j)/2; // while(head<tail && K(q[tail],i)<=K(q[tail],q[tail-1]) )tail--; while(head<tail && (Y(q[tail])-Y(i))*(X(q[tail])-X(q[tail-1]))<=(Y(q[tail])-Y(q[tail-1]))*(X(q[tail])-X(i)))tail--; q[++tail]=i; } int ans=1e18; for(int i=n;i>=0;i--){ ans=min(ans,dp[i]-(n-i)*a+b*(n-i+1)*(n-i)/2); } cout<<ans; return 0; }