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 $c(a\le b\le c)$. 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 $\mathrm{1...1}{0}^9$, claiming that they are $a,b,c,a+b,b+c,c+a$ 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 $c$.

Examples