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:
xyzw=input().split()
x=int(xyzw[0])
y=int(xyzw[1])
z=int(xyzw[2])
w=int(xyzw[3])

if (x>y) and (x>z) and (x>w):
    a=x-y
    b=x-z
    c=x-w
    print(a," ",b," ",c)

elif (y>x) and (y>z) and (y>w):
    a=y-x
    b=y-z
    c=y-w
    print(a," ",b," ",c)

elif (z>x) and (z>y) and (z>w):
    a=z-x
    b=z-y
    c=z-w
    print(a," ",b," ",c)

elif (w>x) and (w>y) and (w>z):
    a=w-x
    b=w-y
    c=w-z
    print(a," ",b," ",c)