Implement factorial and square list
Problem Description
Implement two Python functions:
1. factorial(n)
Given a non-negative integer n, implement a function factorial(n) that returns n!.
The initial implementation should be iterative. Be prepared to discuss the differences and implications of a recursive implementation.
2. squares(n)
Given a non-negative integer n, implement a function squares(n) that returns a list containing the squares of the first n non-negative integers in ascending order.
For example, if n = 5, the function should return [0, 1, 4, 9, 16].
General Requirements
For both functions, discuss:
- Time and space complexity.
- Input validation.
- Edge cases, such as
n = 0.
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Demonstrating fundamental computer science principles (correctness, efficiency, robustness) for basic numerical operations, especially when considering practical constraints like integer overflow or recursion depth, and articulating these considerations clearly.
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Implement factorial and square list
Problem Description
Implement two Python functions:
1. factorial(n)
Given a non-negative integer n, implement a function factorial(n) that returns n!.
The initial implementation should be iterative. Be prepared to discuss the differences and implications of a recursive implementation.
2. squares(n)
Given a non-negative integer n, implement a function squares(n) that returns a list containing the squares of the first n non-negative integers in ascending order.
For example, if n = 5, the function should return [0, 1, 4, 9, 16].
General Requirements
For both functions, discuss:
- Time and space complexity.
- Input validation.
- Edge cases, such as
n = 0.