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())

lis = []
lis.append(a)
lis.append(b)
lis.append(c)
lis.append(d)
lis.sort()



def finder():
    
    vgl_1 = (lis[0] - lis[2])*-1    #maal met -1 sodat antwoord posotief raak as oor die = gevat word
    
    antw_2 = lis[1]
    
    antw_3 = antw_2 + vgl_1
    
    z = int(antw_3/2)
    
    ##############TOT HIER GEE DIT "C"/z SE WAARDE#############

    y = lis[1] +(-1 * z)
    

    ##########VALUE OF B/y TOT HIER#############################

    x = lis[2] + (-1 * z)
    

    print(str(x)+ ' ' + str(y)+ ' '+ str(z))



    

    


finder()