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:
# 8 5
#   10 9 8 7 7 7 5 5

##x = 0                                                 # NOT COMPETED PROBEM==NEXT ROUND                 #  1+2*3=7
##y=[]                                                  # NOT COMPETED PROBEM==NEXT ROUND                 #  1*(2+3)=5
##rks, pos = map(int, input().split())                  # NOT COMPETED PROBEM==NEXT ROUND                 #  1*2*3=6
##for _ in range(rks):                                  # NOT COMPETED PROBEM==NEXT ROUND                 #  (1+2)*3=9
##    a = int(input())                                  # NOT COMPETED PROBEM==NEXT ROUND
##    y.append(a)                                       # NOT COMPETED PROBEM==NEXT ROUND
##                                                      # NOT COMPETED PROBEM==NEXT ROUND
##while y[pos] >= y:
##    x += 1
##print(x)
#  floor      2.9==2
import pdb
#pdb.set_trace()


a,b,c,d=sorted(map(int, input().split()))
print(d-c,d-b,d-a)