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:
x1,x2,x3,x4=input().split()
x1=int(x1)
x2=int(x2)
x3=int(x3)
x4=int(x4)
if (x1>x2 and x1>x3 and x1>x4):
    a=x1-x2
    b=x1-x3
    c=x1-x4
    print(a,b,c)
elif (x2>x1 and x2>x3 and x2>x4):
    a=x2-x1
    b=x2-x3
    c=x2-x4
    print(a,b,c)
elif (x3>x1 and x3>x2 and x3>x4):
    a=x3-x1
    b=x3-x2
    c=x3-x4
    print(a,b,c)
elif (x4>x1 and x4>x2 and x4>x3):
    a=x4-x1
    b=x4-x2
    c=x4-x3
    print(a,b,c)