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:
# -*- coding: utf-8 -*-
"""
Created on Wed May 29 12:38:40 2019

@author: plosi
"""

def find(arr): 
    top=max(arr)  
    ret=[] 
    for val in arr: 
        a=top-val 
        if a!=0: 
            ret.append(a) 
    return ret
            

def main(): 
    arr=input().split(" ") 
    for i in range(len(arr)): 
        arr[i]=int(arr[i]) 
    ret=find(arr) 
    st=""
    for val in ret: 
        st=st+str(val)+" " 
    print(st)

main()