# DCP-529: Square and Cube Back to All Problems

Easy Math > Basic Math

You are given an integer <b>N</b>, determine whether it is a perfect square or a perfect cube or both (it is a perfect square and also a perfect cube) or none (it is not a perfect square and also not a perfect cube). We know, a perfect square is a number that can be expressed as the **product of two equal integers**. Also, a perfect cube is a number that can be expressed as the **product of three equal integers**. Input: ------ Input starts with an integer **T (1 ≤ T ≤ 10<sup>3</sup>)**, denoting the number of test cases. Each case contains an integer **N (1 ≤ N ≤ 10<sup>9</sup>)**. Output: ------- For each case of input: - Print <b>Perfect Square</b> if <b>N</b> is a perfect square. - Print <b>Perfect Cube</b> if <b>N</b> is a perfect cube. - Print <b>Both</b> if <b>N</b> is a perfect square and also a perfect cube. - Print <b>None</b> if <b>N</b> is not a perfect square and also not a perfect cube. Sample Input ------------ 2 1 4 Sample Output ------------- Both Perfect Square

### Problem Limits

 Language Time Limit (seconds) C 1.00 C++ 1.00 C++14 1.00 C# 2.00 Go 2.00 Java 2.00 JavaScript 2.00 Objective-C 2.00 Perl 2.00 PHP 2.00 Python 2.00 Python3 2.00 Ruby 2.00 VB.Net 2.00

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