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:
n1,n2,n3,n4 = map(int,input().split())
sum = (n1+n2+n3+n4)//3
if n1 != sum : 
   num1 = n1
   n1 = -1
else :
   num1 = n2
   n2 = -1
if n2 != sum and n2 >= 0:
    num2 = n2
    n2 = -1
else :
    num2 = n3
    n3 = -1
if n3 != sum and n3 >= 0:
    num3 = n3
    n3 = -1
else :
    num3 = n4
    n4 = -1
a = (num2+(num1-num3))//2
b = num1-a
c = num2-a
print(a,b,c)