from collections import deque class ConvexHullTrick: def __init__(self): self.deq = deque() def check(f1, f2, f3): return (f2[0] - f1[0]) * (f3[1] - f2[1]) >= (f2[1] - f1[1]) * (f3[0] - f2[0]) def f(self, _f, x): return _f[0] * x + _f[1] def add_line(self, a, b): """ add f_i(x) = a * x + b """ f = (a, b) while len(self.deq) >= 2 and ConvexHullTrick.check(self.deq[-2], self.deq[-1], f): self.deq.pop() self.deq.append(f) def get(self, x): """ return min_i f_i(x) """ while len(self.deq) >= 2 and self.f(self.deq[0], x) >= self.f(self.deq[1], x): self.deq.popleft() return self.f(self.deq[0], x) n, a, b, w = map(int, input().split()) D = list(map(int, input().split())) dp = [0] * (n + 1) dp[0] = w # for i, d in enumerate(D, 1): # mi = 1 << 60 # for j in range(i - 1, -1, -1): # t = i - j # mi = min(mi, dp[j] - a * (t - 1) + b * t * (t - 1) // 2) # dp[i] = mi + d ch = ConvexHullTrick() for i, d in enumerate(D): ch.add_line(-2 * b * i, 2 * dp[i] + 2 * a * i + b * i * i + b * i) x = i + 1 mi = ch.get(x) tmp = mi + 2 * a + 2 * d - 2 * a * x + b * x * x - b * x dp[x] = tmp // 2 ans = 1 << 60 for i in range(n + 1): d = n - i ans = min(ans, dp[i] - a * d + b * d * (d + 1) // 2) print(ans)