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:
def map_to_list(list_, fun):
    for i in range(len(list_)):
        list_[i] = fun(list_[i])


def spaced_string_to_list(count, str_):
    arr = []
    char_index = 0
    word = ""
    for arr_index in range(count):
        while not (char_index >= len(str_) or str_[char_index] == " "):
            word += str_[char_index]
            char_index += 1
        arr.append(word)
        word = ""
        char_index += 1
    return arr


def spaced_numbers_str_to_list(amount, str_numbers):
    numbers_list = spaced_string_to_list(amount, str_numbers)
    map_to_list(numbers_list, int)
    return numbers_list


def polikarp_zagadal(arr):
    max = arr[0]
    i_found = 0
    for i in range(1, 4):
        if arr[i] > max:
            max = arr[i]
            i_found = i
    result = []
    for i in range(4):
        if i != i_found:
            result.append(max - arr[i])
    return result
    
   
arr = polikarp_zagadal(spaced_numbers_str_to_list(4, input()))
print(arr[0], arr[1], arr[2])