Professor Dumbledore is helping Harry destroy the Horcruxes. He went to Gaunt Shack as he suspected a Horcrux to be present there. He saw Marvolo Gaunt's Ring and identified it as a Horcrux. Although he destroyed it, he is still affected by its curse. Professor Snape is helping Dumbledore remove the curse. For this, he wants to give Dumbledore exactly x drops of the potion he made. 

Value of x is calculated as maximum of p·ai + q·aj + r·ak for given p, q, r and array a1, a2, ... an such that 1 ≤ i ≤ j ≤ k ≤ n. Help Snape find the value of x. Do note that the value of x may be negative.

Input

First line of input contains 4 integers n, p, q, r ( - 109 ≤ p, q, r ≤ 109, 1 ≤ n ≤ 105).

Next line of input contains n space separated integers a1, a2, ... an ( - 109 ≤ ai ≤ 109).

Output

Output a single integer the maximum value of p·ai + q·aj + r·ak that can be obtained provided 1 ≤ i ≤ j ≤ k ≤ n.

Examples

Input

5 1 2 3
1 2 3 4 5


Output

30


Input

5 1 2 -3
-1 -2 -3 -4 -5


Output

12

Note

In the first sample case, we can take i = j = k = 5, thus making the answer as 1·5 + 2·5 + 3·5 = 30.

In second sample case, selecting i = j = 1 and k = 5 gives the answer 12.
n,p,q,r = input().split(" ")
arr = input().split(" ")
n = int(n)
p = int(p)
q = int(q)
r = int(r)
arr = [int(x) for x in arr]
# to finnd the sum of arr[i]+arr[j]+arr[k] = max where i<j<k

prefix_max = []
maximum = float('-inf')
for i in range(len(arr)):
    prefix_max.append(max(maximum,p*arr[i]))
    maximum = prefix_max[-1]
    
maxi = float('-inf')
suffix_max = [1**x for x in range(len(arr))]
for i in range(len(arr)-1,-1,-1):
    suffix_max[i] = (max(r*arr[i],maxi))
    maxi = suffix_max[i]
    


max_len = [1 for x in range(len(arr))]


for j in range(len(arr)):
    max_len[j] = prefix_max[j]+q*arr[j]+suffix_max[j]


print((max(max_len)))
    
