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:
a,b,c,d=map(int,input().split())
e=max(a,b,c,d)
if(e==d):
    a1=a+b-e
    a2=b+c-e
    a3=a+c-e

if(e==a):
    a1=c+b-e
    a2=b+d-e
    a3=d+c-e
     
if(e==b):
    a1=a+d-e
    a2=d+c-e
    a3=a+c-e
       
if(e==c):
    a1=a+d-e
    a2=d+b-e
    a3=a+b-e
print(a1,'',a2,'',a3,'')