Implement Factorial and Squares
Problem Description
You are required to implement two Python functions during a live coding interview:
1. factorial(n)
Given a non-negative integer n, implement a function that returns n!.
- The implementation must be iterative.
- Be prepared to explain how a recursive version would differ.
- State the time and space complexity of your iterative solution.
2. squares(n)
Given a non-negative integer n, implement a function that returns a list containing the squares of the first n integers.
- Clearly state your chosen convention for "the first
nintegers" (e.g.,[0^2, 1^2, ..., (n-1)^2]or[1^2, 2^2, ..., n^2]). - Handle edge cases, specifically
n = 0. - Consider how to handle invalid negative input.
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Implement Factorial and Squares
Problem Description
You are required to implement two Python functions during a live coding interview:
1. factorial(n)
Given a non-negative integer n, implement a function that returns n!.
- The implementation must be iterative.
- Be prepared to explain how a recursive version would differ.
- State the time and space complexity of your iterative solution.
2. squares(n)
Given a non-negative integer n, implement a function that returns a list containing the squares of the first n integers.
- Clearly state your chosen convention for "the first
nintegers" (e.g.,[0^2, 1^2, ..., (n-1)^2]or[1^2, 2^2, ..., n^2]). - Handle edge cases, specifically
n = 0. - Consider how to handle invalid negative input.