>>> juggler_sequence(0) Traceback (most recent call last): ... ValueError: Input value of [number=0] must be a positive integer >>> juggler_sequence(1) [1] >>> juggler_sequence(2) [2, 1] >>> juggler_sequence(3) [3, 5, 11, 36, 6, 2, 1] >>> juggler_sequ
(number: int)
| 13 | |
| 14 | |
| 15 | def juggler_sequence(number: int) -> list[int]: |
| 16 | """ |
| 17 | >>> juggler_sequence(0) |
| 18 | Traceback (most recent call last): |
| 19 | ... |
| 20 | ValueError: Input value of [number=0] must be a positive integer |
| 21 | >>> juggler_sequence(1) |
| 22 | [1] |
| 23 | >>> juggler_sequence(2) |
| 24 | [2, 1] |
| 25 | >>> juggler_sequence(3) |
| 26 | [3, 5, 11, 36, 6, 2, 1] |
| 27 | >>> juggler_sequence(5) |
| 28 | [5, 11, 36, 6, 2, 1] |
| 29 | >>> juggler_sequence(10) |
| 30 | [10, 3, 5, 11, 36, 6, 2, 1] |
| 31 | >>> juggler_sequence(25) |
| 32 | [25, 125, 1397, 52214, 228, 15, 58, 7, 18, 4, 2, 1] |
| 33 | >>> juggler_sequence(6.0) |
| 34 | Traceback (most recent call last): |
| 35 | ... |
| 36 | TypeError: Input value of [number=6.0] must be an integer |
| 37 | >>> juggler_sequence(-1) |
| 38 | Traceback (most recent call last): |
| 39 | ... |
| 40 | ValueError: Input value of [number=-1] must be a positive integer |
| 41 | """ |
| 42 | if not isinstance(number, int): |
| 43 | msg = f"Input value of [number={number}] must be an integer" |
| 44 | raise TypeError(msg) |
| 45 | if number < 1: |
| 46 | msg = f"Input value of [number={number}] must be a positive integer" |
| 47 | raise ValueError(msg) |
| 48 | sequence = [number] |
| 49 | while number != 1: |
| 50 | if number % 2 == 0: |
| 51 | number = math.floor(math.sqrt(number)) |
| 52 | else: |
| 53 | number = math.floor( |
| 54 | math.sqrt(number) * math.sqrt(number) * math.sqrt(number) |
| 55 | ) |
| 56 | sequence.append(number) |
| 57 | return sequence |
| 58 | |
| 59 | |
| 60 | if __name__ == "__main__": |