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:
###########################################
#  Author : Uranux   
#  Created On : Tue Apr 16 2019
#  File : A.py
###########################################

def input_s():
    return raw_input()

def input_i():
    return int(raw_input())

def input_2_i():
    arr = map(int, raw_input().split())
    return arr[0], arr[1]

def input_3_i():
    arr = map(int, raw_input().split())
    return arr[0], arr[1], arr[2]

def input_i_array():
    return map(int, raw_input().split())

def get_presum(n, arr):
    presum = [arr[0]]
    for i in range(1, n):
        presum.append(presum[i - 1] + arr[i])
    return presum

def calc(arr):
    m = max(arr)
    new_arr = []
    ok = False
    for i in range(4):
        if arr[i] == m and ok:
            new_arr.append(arr[i])
        if arr[i] == m:
            ok = True
        if arr[i] != m:
            new_arr.append(arr[i])
    
    for i in range(3):
        for j in range(3):
            for k in range(3):
                if i == j or j == k or i == k:
                    continue

                a = m - new_arr[0]
                b = m - new_arr[1]
                c = m - new_arr[2]
                
                if a + b == m - c and a + c == m - b and b + c == m - a:
                    return '{} {} {}'.format(a, b, c)

    return -1

"""
3 6 5 4
"""
arr = input_i_array()

print calc(arr)