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 PYTHON):

Solution:
import math
import re
import sys

def read(type = int):
  return type(raw_input())
  
def read_list(type = int, split = ' ', F = None):
  if F:
    return map(lambda x: F(type(x)), raw_input().split(split))
  return map(type, raw_input().split(split))

def read_list_of_list(N, type = int, split = ' ', F = None):
  return [read_list(type, F = F) for _ in xrange(N)]
  
AB, AC, BC, ABC = sorted(read_list())
print ABC - BC, ABC - AC, ABC- AB