A9469 | Little Pony and Harmony Chest

Princess Twilight went to Celestia and Luna's old castle to research the chest from the Elements of Harmony.

A sequence of positive integers $b_{i}$ is harmony if and only if for every two elements of the sequence their greatest common divisor equals 1. According to an ancient book, the key of the chest is a harmony sequence $b_{i}$ which minimizes the following expression:

You are given sequence $a_{i}$ , help Princess Twilight to find the key.

The first line contains an integer $n$ ( $1<=n<=100$ ) — the number of elements of the sequences $a$ and $b$ . The next line contains $n$ integers $a_{1},a_{2},...,a_{n}$ ( $1<=a_{i}<=30$ ).

Output the key — sequence $b_{i}$ that minimizes the sum described above. If there are multiple optimal sequences, you can output any of them.