CF1325E Ehab's REAL Number Theory Problem

Description

You are given an array $ a $ of length $ n $ that has a special condition: every element in this array has at most 7 divisors. Find the length of the shortest non-empty subsequence of this array product of whose elements is a perfect square. A sequence $ a $ is a subsequence of an array $ b $ if $ a $ can be obtained from $ b $ by deletion of several (possibly, zero or all) elements.

Input Format

N/A

Output Format

N/A

Explanation/Hint

In the first sample, you can choose a subsequence $ [1] $ . In the second sample, you can choose a subsequence $ [6, 6] $ . In the third sample, you can choose a subsequence $ [6, 15, 10] $ . In the fourth sample, there is no such subsequence.