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Leetcode #1271: Hexspeak

In this guide, we solve Leetcode #1271 Hexspeak in Python and focus on the core idea that makes the solution efficient.

You will see the intuition, the step-by-step method, and a clean Python implementation you can use in interviews.

Leetcode

Problem Statement

A decimal number can be converted to its Hexspeak representation by first converting it to an uppercase hexadecimal string, then replacing all occurrences of the digit '0' with the letter 'O', and the digit '1' with the letter 'I'. Such a representation is valid if and only if it consists only of the letters in the set {'A', 'B', 'C', 'D', 'E', 'F', 'I', 'O'}.

Quick Facts

  • Difficulty: Easy
  • Premium: Yes
  • Tags: Math, String

Intuition

There is a mathematical invariant or formula that directly leads to the result.

Using math avoids unnecessary loops and reduces complexity.

Approach

Derive the formula or update rule, then compute the answer directly.

Handle edge cases like overflow or zero carefully.

Steps:

  • Identify the math relationship.
  • Compute the result with a loop or formula.
  • Handle edge cases.

Example

Input: num = "257" Output: "IOI" Explanation: 257 is 101 in hexadecimal.

Python Solution

class Solution: def toHexspeak 🔒(self, num: str) -> str: s = set('ABCDEFIO') t = hex(int(num))[2:].upper().replace('0', 'O').replace('1', 'I') return t if all(c in s for c in t) else 'ERROR'

Complexity

The time complexity is O(log⁡n)O(\log n)O(logn), where nnn is the size of the decimal number represented by numnumnum. The space complexity is O(1).

Edge Cases and Pitfalls

Watch for boundary values, empty inputs, and duplicate values where applicable. If the problem involves ordering or constraints, confirm the invariant is preserved at every step.

Summary

This Python solution focuses on the essential structure of the problem and keeps the implementation interview-friendly while meeting the constraints.


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