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:
import sys
arr = [int(x) for x in input().split()]
for i in range(0,4):
	for j in range(0,4):
		for k in range(0,4):
			for q in range(0,4):
				if(i != j and i != k and i != q and j != k and j != q and k != q):
					if((arr[i] + arr[j] - arr[k]) % 2 == 0):
						a = int((arr[i] + arr[j] - arr[k]) / 2)
						b = arr[i] - a
						c = arr[j] - a
						if(a + b + c == arr[q]):
							print(a,b,c)
							sys.exit()