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:
p,q,r,s = [int(x) for x in input().split()]
if p>q and p>r and p>s:
    a = p-r
    b = p-q
    c = p-s
    print(a,b,c)
elif q>p and q>r and q>s:
    a = q-p
    b = q-r
    c = q-s
    print(a,b,c)
elif r>p and r>q and r>s:
    a = r-p
    b = r-q
    c = r-s
    print(a,b,c)
elif s>p and s>q and s>r:
    a = s-p
    b = s-q
    c = s-r
    print(a,b,c)