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:
s = input().split()
a = int(s[0])
b = int(s[1])
c = int(s[2])
d = int(s[3])
M = max(a, b, c, d)
g1=0
g2=0
g3=0
g4=0
if M!=a:
    g1 = M-a
if M!=b:
    g2 = M-b
if M!=c:
    g3 = M-c
if M!=d:
    g4 = M-d

if g1!=0:
    print(g1, end = " ")
if g2!=0:
    print(g2, end = " ")
if g3!=0:
    print(g3, end = " ")
if g4!=0:
    print(g4, end = " ")