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:
# Let x1=a+b, x2=a+c, x3=b=c and x4=a+b+c. Then we can
#construct the following answer: c=x4−x1, b=x4−x2 and a=x4−x3.

#Because all numbers in the answer are positive, we can assume
#that the maximum element of x is a+b+c. So let's sort the input
#array x consisting of four elements and just print x4−x1,x4−x2 and x4−x3.

def main():
    nums = [int(i) for i in input().split()]
    nums.sort()
    print( nums[-1] - nums[0], nums[-1] - nums[1], nums[-1] - nums[2] )
    

    
main()