Hard FizzBuzz Variation

EasyPython

Problem

Axon diagnostic tools can use compact labels when displaying numeric event sequences. Given an inclusive range of positive integers, generate one output for each number using digit presence rather than divisibility.

For each number:

Include Fizz if its decimal representation contains the digit 3.
Include Buzz if its decimal representation contains the digit 5.
If both digits appear, output FizzBuzz.
If neither digit appears, output the number itself as a string.

The digit rule is independent of whether the number is a multiple of 3 or 5. For example, 30 produces Fizz because it contains 3, even though it is also a multiple of both.

Formal Specification

Implement label_numbers(start, end), where start and end are positive integers and start <= end. Return a list of strings containing one result for every integer from start through end, inclusive. Preserve the input order.

Constraints

1 <= start <= end <= 10^6
end - start + 1 <= 10^5
All inputs are positive integers
Return one string for every number in the inclusive range

Function Signature

def label_numbers(start, end):

For each number:

Include Fizz if its decimal representation contains the digit 3.
Include Buzz if its decimal representation contains the digit 5.
If both digits appear, output FizzBuzz.
If neither digit appears, output the number itself as a string.

The digit rule is independent of whether the number is a multiple of 3 or 5. For example, 30 produces Fizz because it contains 3, even though it is also a multiple of both.