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=[int(i) for i in input().split()]
if x1>=x2 and x1>=x3 and x1>=x4:
    a=x1-x2
    b=x1-x3
    c=x1-x4
elif x2>=x3 and x2>=x4 and x2>=x1:
    a=x2-x1
    b=x2-x3
    c=x2-x4
elif x3>=x1 and x3>=x2 and x3>=x4:
    a=x3-x1
    b=x3-x2
    c=x3-x4
else:
    a=x4-x1
    b=x4-x2
    c=x4-x3
if 2<=x1<=10**9 and 2<=x2<=10**9 and 2<=x3<=10**9 and 2<=x4<=10**9:
    print(a,end=" ")
    print(b,end=" ")
    print(c,end=" ")