What is the optimal time complexity of solving Positive or Negative number?

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 Positive or Negative number?

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 Positive or Negative number?

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 Positive or Negative number?

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.

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Python BasicsEasy

Positive or Negative number

Learn how to solve the 'Positive or Negative number' problem. This detailed resource details brute force and optimized approaches.

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Problem Statement

Easy

Write a function check_sign(n) that takes an integer n and returns the string "Positive" if n is greater than zero, "Negative" if n is less than zero, or "Zero" if n is exactly zero.

Constraints

•-10^9 <= n <= 10^9

Examples

Example 1

Input

n = 5

Output

"Positive"

Explanation

5 is greater than 0, so we return "Positive".

Example 2

Input

n = -3

Output

"Negative"

Explanation

-3 is less than 0, so we return "Negative".

Example 3

Input

n = 0

Output

"Zero"

Explanation

0 is neither positive nor negative, so we return "Zero".

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

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