What is the optimal time complexity of solving Calculate the number of digits in an integer?

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 Calculate the number of digits in an integer?

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 Calculate the number of digits in an integer?

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 Calculate the number of digits in an integer?

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

Calculate the number of digits in an integer

Learn how to solve the 'Calculate the number of digits in an integer' problem. This detailed resource details brute force and optimized approaches.

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Problem Statement

Easy

Write a function count_digits(n) that takes an integer n and returns the number of digits in its absolute value. For example, both 123 and -123 have 3 digits.

Note: The number 0 has 1 digit.

Constraints

•-10^9 <= n <= 10^9

Examples

Example 1

Input

count_digits(12345)

Output

Explanation

12345 has digits 1, 2, 3, 4, 5 — that's 5 digits.

Example 2

Input

count_digits(-987)

Output

Explanation

Ignoring the sign, 987 has 3 digits.

Example 3

Input

count_digits(0)

Output

Explanation

The number 0 has exactly 1 digit.

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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