| 1 | 1 | from typing import List |
| 2 | 2 | |
| 3 | 3 | def rebase(input_base: int, digits: List[int], output_base: int) -> List[int]: |
| 4 | | pass |
| 4 | # Edge Case: input base must be >= 2 |
| 5 | if input_base < 2: |
| 6 | raise ValueError("input base must be >= 2") |
| 7 | |
| 8 | # Edge Case: output base must be >= 2 |
| 9 | if output_base < 2: |
| 10 | raise ValueError("output base must be >= 2") |
| 11 | |
| 12 | # Edge Case: empty input sequence |
| 13 | if not digits: |
| 14 | return [0] |
| 15 | |
| 16 | # Edge Case: invalid digits (negative or >= input base) |
| 17 | for digit in digits: |
| 18 | if digit < 0 or digit >= input_base: |
| 19 | raise ValueError("all digits must satisfy 0 <= d < input base") |
| 20 | |
| 21 | # Convert from input base to decimal |
| 22 | decimal_value = 0 |
| 23 | for digit in digits: |
| 24 | decimal_value = decimal_value * input_base + digit |
| 25 | |
| 26 | # Edge Case: zero value conversion |
| 27 | if decimal_value == 0: |
| 28 | return [0] |
| 29 | |
| 30 | # Convert from decimal to output base |
| 31 | result = [] |
| 32 | while decimal_value > 0: |
| 33 | result.append(decimal_value % output_base) |
| 34 | decimal_value //= output_base |
| 35 | |
| 36 | # Reverse the result since we built it backwards |
| 37 | result.reverse() |
| 38 | |
| 39 | return result |
| 40 | |
| 41 | # Handled Edge Cases: input base < 2, output base < 2, empty input sequence, invalid digits, zero value conversion |