import sys # sys.setrecursionlimit(200005) int1 = lambda x: int(x)-1 pDB = lambda *x: print(*x, end="\n", file=sys.stderr) p2D = lambda x: print(*x, sep="\n", end="\n\n", file=sys.stderr) def II(): return int(sys.stdin.readline()) def LI(): return list(map(int, sys.stdin.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] def LI1(): return list(map(int1, sys.stdin.readline().split())) def LLI1(rows_number): return [LI1() for _ in range(rows_number)] def SI(): return sys.stdin.readline().rstrip() # dij = [(0, 1), (-1, 0), (0, -1), (1, 0)] dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)] inf = (1 << 63)-1 # inf = (1 << 31)-1 # md = 10**9+7 md = 998244353 class LiChaoTree: def __init__(self, xx, getmin=1): self._inf = (1 << 63)-1 self._rev = getmin*2-1 self._n = 1 << (len(xx)-1).bit_length() self._aa = [None]*(2*self._n) self._bb = [None]*(2*self._n) self._ll = [None]*(2*self._n) self._rr = [None]*(2*self._n) self._xtou = {} for u, x in enumerate(xx, self._n): self._ll[u] = self._rr[u] = x self._xtou[x] = u for u in range(1, self._n)[::-1]: self._ll[u], self._rr[u] = self._ll[u*2], self._rr[u*2+1] if self._rr[u] == None: self._rr[u] = self._rr[u*2] def add_line(self, a, b): u = 1 while 1: if self._ll[u] == None: return if self._aa[u] == None: self._aa[u], self._bb[u] = a, b return c, d = self._aa[u], self._bb[u] l, r = self._ll[u], self._rr[u] yl, yr = a*l+b, a*r+b zl, zr = c*l+d, c*r+d if (yl-zl)*self._rev >= 0 and (yr-zr)*self._rev >= 0: return if (yl-zl)*self._rev <= 0 and (yr-zr)*self._rev <= 0: self._aa[u], self._bb[u] = a, b return if ((a-c)*self._rr[u*2]+b-d)*self._rev <= 0: a, b, self._aa[u], self._bb[u], yr, zr = c, d, a, b, zr, yr u = u*2+((yr-zr)*self._rev < 0) def __getitem__(self, x): if self._aa[1] == None: return self._rev*self._inf u = self._xtou[x] res = self._aa[1]*x+self._bb[1] while u > 1: if self._aa[u] != None: cur = self._aa[u]*x+self._bb[u] if (cur-res)*self._rev < 0: res = cur u >>= 1 return res n, a, b, w = LI() dd = LI() cht = LiChaoTree(list(range(n))) cht.add_line(0, 2*w) ans = w+n*(n+1)//2*b-a*n for i, d in enumerate(dd): cur = (cht[i]+i*(b*(i+1)-2*a)+2*d)//2 r = n-i-1 ans = min(ans, cur+r*(r+1)//2*b-a*r) i += 1 cht.add_line(-2*b*i, 2*cur+i*(b*(i-1)+2*a)) print(ans)