def   a_					(_lowerCAmelCase  :   int       )->				int:
    return n * (2 * n - 1)

def   a_					(_lowerCAmelCase  :   int       )->				bool:
    snake_case:						Tuple         =   (1 + 24 * n) ** 0.5
    return ((1 + root) / 6) % 1 == 0

def   a_					(_lowerCAmelCase  :   int = 144       )->				int:
    snake_case:						Optional[int]         =   start
    snake_case:						Union[str, Any]         =   hexagonal_num(_lowerCAmelCase       )
    while not is_pentagonal(_lowerCAmelCase       ):
        n += 1
        snake_case:						Tuple         =   hexagonal_num(_lowerCAmelCase       )
    return num


if __name__ == "__main__":
    print(F"""{solution()} = """)



from __future__ import annotations

from statistics import mean

def   a_					(_lowerCAmelCase  :   list[int]       )->				list[int]:
    snake_case:						Tuple         =   2
    snake_case:						str         =   list(_lowerCAmelCase       )
    snake_case:						Union[str, Any]         =   [0] * len(_lowerCAmelCase       )
    snake_case:						List[Any]         =   0
    while True:
        snake_case:						Optional[int]         =   True
        for i, burst_time in enumerate(_lowerCAmelCase       ):
            if rem_burst_times[i] > 0:
                snake_case:						Dict         =   False
                if rem_burst_times[i] > quantum:
                    t += quantum
                    rem_burst_times[i] -= quantum
                else:
                    t += rem_burst_times[i]
                    snake_case:						Optional[Any]         =   t - burst_time
                    snake_case:						Tuple         =   0
        if done is True:
            return waiting_times

def   a_					(_lowerCAmelCase  :   list[int]			,	_lowerCAmelCase  :   list[int]       )->				list[int]:
    return [burst + waiting for burst, waiting in zip(_lowerCAmelCase			,	_lowerCAmelCase       )]


if __name__ == "__main__":
    __lowerCAmelCase    :  List[Any]										= [3, 5, 7]
    __lowerCAmelCase    :  List[Any]										= calculate_waiting_times(burst_times)
    __lowerCAmelCase    :  str										= calculate_turn_around_times(burst_times, waiting_times)
    print('Process ID \tBurst Time \tWaiting Time \tTurnaround Time')
    for i, burst_time in enumerate(burst_times):
        print(
            F"""  {i + 1}\t\t  {burst_time}\t\t  {waiting_times[i]}\t\t  """
            F"""{turn_around_times[i]}"""
        )
    print(F"""\nAverage waiting time = {mean(waiting_times):.5f}""")
    print(F"""Average turn around time = {mean(turn_around_times):.5f}""")


