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:
numeros = input().split()

if int(numeros[0]) >= int(numeros[1]):
    a = numeros[1]
    c = numeros[0]

else:
    a = numeros[0]
    c = numeros[1]

if int(numeros[2]) >= int(numeros[3]):
    b = numeros[3]
    d = numeros[2]
else:
    b = numeros[2]
    d = numeros[3]

if int(c) > int(d):
    soma = c
    c = d
else:
    soma = d
soma = int(soma)
a = int(a)
b = int(b)
c = int(c)

a1 = soma - a
b1 = soma - b
c1 = soma - c

print(a1, b1, c1)