Competitions

# USACO 2020 December

# Do You Know Your ABCs?

Farmer John's cows have been holding a daily online gathering on the "mooZ" video meeting platform. For fun, they have invented a simple number game to play during the meeting to keep themselves entertained.

Elsie has three positive integers **a**, **b** and **c** (**a** ≤ **b** ≤ **c**). These integers are supposed to be secret, so she will not directly reveal them to her sister Bessie. Instead, she gives Bessie seven (not necessarily distinct) integers in the range **1**..`10`

, claiming that they are ^{9}**a**, **b**, **c**, **a** + **b**, **b** + **c**, **c** + **a** and **a** + **b** + **c** in some order.

Given a list of these seven numbers, help Bessie determine **a**, **b** and **c** It can be shown that the answer is unique.

#### Input

Seven integers.

#### Output

Print **a**, **b** and **c**.

Input example #1

2 2 11 4 9 7 9

Output example #1

2 2 7