Problem: Polycarp has guessed three positive integers a, b and c. He keeps these numbers in secret, but he writes down four numbers on a board in arbitrary order — their pairwise sums (three numbers) and sum of all three numbers (one number). So, there are four numbers on a board in random order: a+b, a+c, b+c and a+b+c.

You have to guess three numbers a, b and c using given numbers. Print three guessed integers in any order.

Pay attention that some given numbers a, b and c can be equal (it is also possible that a=b=c).

Input

The only line of the input contains four positive integers x_1, x_2, x_3, x_4 (2 ≤ x_i ≤ 10^9) — numbers written on a board in random order. It is guaranteed that the answer exists for the given number x_1, x_2, x_3, x_4.

Output

Print such positive integers a, b and c that four numbers written on a board are values a+b, a+c, b+c and a+b+c written in some order. Print a, b and c in any order. If there are several answers, you can print any. It is guaranteed that the answer exists.

Examples

Input


3 6 5 4


Output


2 1 3


Input


40 40 40 60


Output


20 20 20


Input


201 101 101 200


Output


1 100 100

Solution (in PYTHON3):

Solution:
V1,V2,V3,V4 = input().split()
v1 = int(V1)
v2 = int(V2)
v3 = int(V3)
v4 = int(V4)
l = [v1,v2,v3,v4]
l2 =[]
maxi = 0 
for i in l:
    if i>maxi:
        maxi = i
j = maxi
for i in l:
    if i != j:
        l2.append(i)




x = l2[0]
y = l2[1]
z = l2[2]
a = (x+y-z)/2
b = (x+z-y)/2
c = (y+z-x)/2
print(int(a),int(b),int(c))