Problem Description

You have q keys. API for key k returns k*k. Use caching so each distinct key calls API only once. Print apiCalls, then outputs for each query.

Input Format

Line1: q. Line2: q integers keys.

Output Format

Line1: apiCalls. Line2: q outputs.

Sample Test Case

Input:
6 2 3 2 5 3 2
Output:
3 4 9 4 25 9 4

Constraints

1

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