

"""simple docstring"""




import gc
import threading
import time

import psutil
import torch





class  lowerCamelCase    :

			def __init__(       self					:    str							) ->     Union[str, Any]:
						SCREAMING_SNAKE_CASE__										=   psutil.Process()
						SCREAMING_SNAKE_CASE__										=   False

			def        SCREAMING_SNAKE_CASE					(       self					:    Optional[int]							) ->     int:
						SCREAMING_SNAKE_CASE__										=   -1

						while True:
									SCREAMING_SNAKE_CASE__										=   max(self.process.memory_info().rss     ,					self.cpu_memory_peak							)

									# can't sleep or will not catch the peak right (this comment is here on purpose)
									if not self.peak_monitoring:
												break

			def        SCREAMING_SNAKE_CASE					(       self					:    Tuple							) ->     Dict:
						SCREAMING_SNAKE_CASE__										=   True
						SCREAMING_SNAKE_CASE__										=   threading.Thread(target=self.peak_monitor							)
						SCREAMING_SNAKE_CASE__										=   True
						self.thread.start()





			def        SCREAMING_SNAKE_CASE					(       self					:    str							) ->     Dict:
						SCREAMING_SNAKE_CASE__										=   False
						self.thread.join()
						return self.cpu_memory_peak
A_				:      Dict           =			PeakCPUMemory()

def 						A							(  ):




			'''simple docstring'''


			SCREAMING_SNAKE_CASE__										=   {'time': time.time()}

			gc.collect()
			torch.cuda.empty_cache()

			# CPU mem
			SCREAMING_SNAKE_CASE__										=   psutil.Process().memory_info().rss
			cpu_peak_tracker.start()

			# GPU mem
			for i in range(torch.cuda.device_count()     ):
						SCREAMING_SNAKE_CASE__										=   torch.cuda.memory_allocated(_UpperCAmelCase     )
			torch.cuda.reset_peak_memory_stats()

			return measures

def 						A							(  snake_case__     ):




			'''simple docstring'''


			SCREAMING_SNAKE_CASE__										=   {'time': time.time() - start_measures['time']}

			gc.collect()
			torch.cuda.empty_cache()

			# CPU mem
			SCREAMING_SNAKE_CASE__										=   (psutil.Process().memory_info().rss - start_measures['cpu']) / 2**20
			SCREAMING_SNAKE_CASE__										=   (cpu_peak_tracker.stop() - start_measures['cpu']) / 2**20

			# GPU mem
			for i in range(torch.cuda.device_count()     ):
						SCREAMING_SNAKE_CASE__										=   (torch.cuda.memory_allocated(_UpperCAmelCase     ) - start_measures[str(_UpperCAmelCase     )]) / 2**20
						SCREAMING_SNAKE_CASE__										=   (torch.cuda.max_memory_allocated(_UpperCAmelCase     ) - start_measures[str(_UpperCAmelCase     )]) / 2**20

			return measures




def 						A							(  snake_case__		,					snake_case__     ):




			'''simple docstring'''


			print(f"""{description}:"""     )
			print(f"""- Time: {measures["time"]:.2f}s"""     )
			for i in range(torch.cuda.device_count()     ):
						print(f"""- GPU {i} allocated: {measures[str(_UpperCAmelCase     )]:.2f}MiB"""     )
						SCREAMING_SNAKE_CASE__										=   measures[f"""{i}-peak"""]
						print(f"""- GPU {i} peak: {peak:.2f}MiB"""     )
			print(f"""- CPU RAM allocated: {measures["cpu"]:.2f}MiB"""     )
			print(f"""- CPU RAM peak: {measures["cpu-peak"]:.2f}MiB"""     )









from __future__ import annotations

import time
from collections.abc import Sequence
from random import randint

from matplotlib import pyplot as plt


def 			SCREAMING_SNAKE_CASE (			_UpperCAmelCase		,      _UpperCAmelCase		,      _UpperCAmelCase					)     ->	tuple[int | None, int | None, float]:
    if not arr:
        return None, None, 0
    if low == high:
        return low, high, arr[low]

    lowerCamelCase__       : Union[str, Any]   					=						(low + high) // 2
    lowerCamelCase__					,				lowerCamelCase__					,				lowerCamelCase__       : str   					=						max_subarray(_UpperCAmelCase		,      _UpperCAmelCase		,      _UpperCAmelCase					)
    lowerCamelCase__					,				lowerCamelCase__					,				lowerCamelCase__       : Optional[Any]   					=						max_subarray(_UpperCAmelCase		,      mid + 1		,      _UpperCAmelCase					)
    lowerCamelCase__					,				lowerCamelCase__					,				lowerCamelCase__       : int   					=						max_cross_sum(_UpperCAmelCase		,      _UpperCAmelCase		,      _UpperCAmelCase		,      _UpperCAmelCase					)
    if left_sum >= right_sum and left_sum >= cross_sum:
        return left_low, left_high, left_sum
    elif right_sum >= left_sum and right_sum >= cross_sum:
        return right_low, right_high, right_sum
    return cross_left, cross_right, cross_sum


def 			SCREAMING_SNAKE_CASE (			_UpperCAmelCase		,      _UpperCAmelCase		,      _UpperCAmelCase		,      _UpperCAmelCase					)     ->	tuple[int, int, float]:
    lowerCamelCase__					,				lowerCamelCase__       : Union[str, Any]   					=						float('-inf'					), -1
    lowerCamelCase__					,				lowerCamelCase__       : Tuple   					=						float('-inf'					), -1

    lowerCamelCase__       : int | float   					=						0
    for i in range(_UpperCAmelCase		,      low - 1		,      -1					):
        summ += arr[i]
        if summ > left_sum:
            lowerCamelCase__       : Optional[int]   					=						summ
            lowerCamelCase__       : Tuple   					=						i

    lowerCamelCase__       : int   					=						0
    for i in range(mid + 1		,      high + 1					):
        summ += arr[i]
        if summ > right_sum:
            lowerCamelCase__       : int   					=						summ
            lowerCamelCase__       : List[Any]   					=						i

    return max_left, max_right, (left_sum + right_sum)


def 			SCREAMING_SNAKE_CASE (			_UpperCAmelCase					)     ->	float:
    lowerCamelCase__       : Any   					=						[randint(1		,      _UpperCAmelCase					) for _ in range(_UpperCAmelCase					)]
    lowerCamelCase__       : Tuple   					=						time.time()
    max_subarray(_UpperCAmelCase		,      0		,      input_size - 1					)
    lowerCamelCase__       : List[Any]   					=						time.time()
    return end - start


def 			SCREAMING_SNAKE_CASE (			)     ->	None:
    lowerCamelCase__       : Optional[Any]   					=						[10, 100, 1000, 1_0000, 5_0000, 10_0000, 20_0000, 30_0000, 40_0000, 50_0000]
    lowerCamelCase__       : Optional[Any]   					=						[time_max_subarray(_UpperCAmelCase					) for input_size in input_sizes]
    print('No of Inputs\t\tTime Taken'					)
    for input_size, runtime in zip(_UpperCAmelCase		,      _UpperCAmelCase					):
        print(_UpperCAmelCase		,      '\t\t'		,      _UpperCAmelCase					)
    plt.plot(_UpperCAmelCase		,      _UpperCAmelCase					)
    plt.xlabel('Number of Inputs'					)
    plt.ylabel('Time taken in seconds'					)
    plt.show()


if __name__ == "__main__":
    from doctest import testmod

    testmod()





