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:
x,y,z,w=input().split()
x=int(x)
y=int(y)
z=int(z)
w=int(w)
i=max(x,y,z,w)
if i==x:
   b=(y+w-z)/2
   c=y-b
   a=z-c
elif i==y:
    b=(z+x-w)/2
    a=x-b
    c=w-a
elif i==z:
    b=(y+x-w)/2
    c=y-b
    a=w-c
else :
    a=(x-y+z)/2
    c=z-a
    b=y-c
print(int(a))
print(int(b))
print(int(c))