|
| 1 | +from typing import Optional |
| 2 | + |
| 3 | + |
| 4 | +class Factors: |
| 5 | + @staticmethod |
| 6 | + def factors_iteration(number: int, use_while: bool = False) -> list[int]: |
| 7 | + factors: list[int] = [] |
| 8 | + negative_factors: bool = False |
| 9 | + if number == 0: |
| 10 | + raise ArithmeticError("Factors of zero don't exist.") |
| 11 | + elif not isinstance(number, int): |
| 12 | + raise ArithmeticError("Factors of non-integers is not supported.") |
| 13 | + elif number < 0: |
| 14 | + negative_factors = True |
| 15 | + if use_while: |
| 16 | + i: int = 1 |
| 17 | + while i < abs(number) + 1: |
| 18 | + if abs(number) % i == 0: |
| 19 | + factors.append(i) |
| 20 | + if negative_factors: |
| 21 | + factors.append(-1 * i) |
| 22 | + i += 1 |
| 23 | + else: |
| 24 | + for i in range(1, abs(number) + 1): |
| 25 | + if abs(number) % i == 0: |
| 26 | + factors.append(i) |
| 27 | + if negative_factors: |
| 28 | + factors.append(-1 * i) |
| 29 | + return factors |
| 30 | + |
| 31 | + @staticmethod |
| 32 | + def factors_recursion(number: int, next_factor: Optional[int] = None, factors: Optional[list[int]] = None, |
| 33 | + negative_factors: bool = False) -> list[int]: |
| 34 | + if next_factor is None and factors is None: |
| 35 | + factors = [] |
| 36 | + next_factor = abs(number) |
| 37 | + if number == 0: |
| 38 | + raise ArithmeticError("Factors of zero don't exist.") |
| 39 | + elif not isinstance(number, int): |
| 40 | + raise ArithmeticError("Factors of non-integers is not supported.") |
| 41 | + elif number < 0: |
| 42 | + negative_factors = True |
| 43 | + if next_factor == 0: |
| 44 | + return list(reversed(factors)) |
| 45 | + elif abs(number) % next_factor == 0: |
| 46 | + if negative_factors: |
| 47 | + factors.append(-1 * next_factor) |
| 48 | + factors.append(next_factor) |
| 49 | + return Factors.factors_recursion(number, next_factor - 1, factors, negative_factors) |
| 50 | + |
| 51 | + |
| 52 | +if __name__ == '__main__': |
| 53 | + input_number = int(input("Enter a non-zero integer: ")) |
| 54 | + print("Using iteration (for):", Factors.factors_iteration(input_number)) |
| 55 | + print("Using iteration (while):", Factors.factors_iteration(input_number, use_while=True)) |
| 56 | + print("Using recursion:", Factors.factors_recursion(input_number)) |
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