What is the optimal time complexity of solving Perfect Square?

The optimized solution achieves a time complexity of O(n) by using sorting, mathematical shortcuts, or hash table lookups.

What is the auxiliary space complexity for Perfect Square?

The space complexity is O(1) since we only use a minimal/constant amount of extra memory for tracking variables (or auxiliary space if dynamic structures are allocated).

What are the typical edge cases we must handle in Perfect Square?

Key edge cases include empty collections, negative or large bounds causing integer overflow, arrays with only one element, or inputs where target criteria are not met.

How can we optimize the brute force approach for Perfect Square?

Brute force methods often inspect all possible combinations. We optimize this by sorting the input list to enable binary search, or tracking processed items in a set to avoid redundant nested loop lookups.

Back to Practice Dashboard

Python BasicsEasy

Perfect Square

Learn how to solve the 'Perfect Square' problem. This detailed resource details brute force and optimized approaches.

Mode Selected

Problem Statement

Easy

Write a function is_perfect_square(n) that takes a non-negative integer n and returns True if n is a perfect square, or False otherwise. A perfect square is an integer that is the square of some integer (e.g., 0, 1, 4, 9, 16, ...).

Constraints

•0 <= n <= 10^9

Examples

Example 1

Input

n = 16

Output

True

Explanation

16 = 4 × 4, so it is a perfect square.

Example 2

Input

n = 14

Output

False

Explanation

There is no integer whose square is 14.

Example 3

Input

n = 0

Output

True

Explanation

0 = 0 × 0, so it is a perfect square.

Need a Hint?

Use simple arithmetic operators (like modulo `%`, division `//`), conditional checks, or loops to inspect number properties.

Edge Cases to Watch

Empty list or null input variables
Single item lists/arrays
Extremely large input bounds causing integer or stack overflow

Ready to Solve?

Open the problem in PyRun's browser-based Python editor. Your code runs fully offline — no server required.

Open in Editor