#!/usr/bin/python #This code does not check the correctness of the algorithm. import sys if sys.version_info[0]>=3: raw_input=input #http://stackoverflow.com/questions/4544630/automatically-growing-lists-in-python class GrowingList(list): def __init__(self,val=None): self.val=val def __getitem__(self, index): if index >= len(self): return self.val return list.__getitem__(self, index) def __setitem__(self, index, value): if index >= len(self): self.extend([self.val for _ in range(index + 1 - len(self))]) list.__setitem__(self, index, value) def is_minimam(a1,b1,a2,b2,a3,b3): return (a2-a1)*(b3-b2)>=(b2-b1)*(a3-a2) def is_maximam(a1,b1,a2,b2,a3,b3): return is_minimam(-a1,-b1,-a2,-b2,-a3,-b3) def check(l1,l2,l3): return is_minimam(l1[0],l1[1],l2[0],l2[1],l3[0],l3[1]) def calc(l,now): return l[0]*now+l[1] class ConvexHullTrick: def __init__(self): self.deque=GrowingList([0,0]) self.s=0 self.t=0 def add(self,a,b): l=[a,b] while self.s+1=calc(self.deque[self.s+1],now): self.s+=1 return calc(self.deque[self.s],now) n,a,b,w=map(int,raw_input().split()) deq=ConvexHullTrick() z = w + 0 * a + b * 0 * (0 - 1) // 2 deq.add( - 0 * b, z) r = z - a * (n - 0) + b * (n - 0) * (n - 0 + 1) // 2 for i,e in enumerate(raw_input().split()): z = int(e) - i * a + ( b * i * (i + 1)) // 2 + deq.get(i) deq.add( - (i + 1) * b , z + (i + 1) * a + ( b * (i + 1) * i) // 2) r = min(r,z - a * (n -(i+1)) + b * (n - (i+1)) * (n - (i+1) + 1) // 2) print(r)