



from __future__ import annotations

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

from matplotlib import pyplot as plt



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

    A__		 =					(low + high) // 2
    A__ ,	A__ ,	A__		 =					max_subarray(UpperCamelCase_ ,       UpperCamelCase_ ,       UpperCamelCase_	)
    A__ ,	A__ ,	A__		 =					max_subarray(UpperCamelCase_ ,       mid + 1 ,       UpperCamelCase_	)
    A__ ,	A__ ,	A__		 =					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 		lowerCAmelCase__    (					UpperCamelCase_				:       Sequence[float] ,       UpperCamelCase_				:       int ,       UpperCamelCase_				:       int ,       UpperCamelCase_				:       int	)->  tuple[int, int, float]:
    A__ ,	A__		 =					float('''-inf'''	), -1
    A__ ,	A__		 =					float('''-inf'''	), -1

    A__		 =					0
    for i in range(UpperCamelCase_ ,       low - 1 ,       -1	):
        summ += arr[i]
        if summ > left_sum:
            A__		 =					summ
            A__		 =					i

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

    return max_left, max_right, (left_sum + right_sum)



def 		lowerCAmelCase__    (					UpperCamelCase_				:       int	)->  float:
    A__		 =					[randint(1 ,       UpperCamelCase_	) for _ in range(UpperCamelCase_	)]
    A__		 =					time.time()
    max_subarray(UpperCamelCase_ ,       0 ,       input_size - 1	)
    A__		 =					time.time()
    return end - start



def 		lowerCAmelCase__    (					)->  None:
    A__		 =					[1_0, 1_0_0, 1_0_0_0, 1_0_0_0_0, 5_0_0_0_0, 1_0_0_0_0_0, 2_0_0_0_0_0, 3_0_0_0_0_0, 4_0_0_0_0_0, 5_0_0_0_0_0]
    A__		 =					[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()





def 		lowerCAmelCase__    (					UpperCamelCase_				:       float ,       UpperCamelCase_				:       int	)->  float:
    if digit_amount > 0:
        return round(number - int(UpperCamelCase_	) ,       UpperCamelCase_	)
    return number - int(UpperCamelCase_	)


if __name__ == "__main__":
   print(decimal_isolate(1.53, 0))
   print(decimal_isolate(35.345, 1))
   print(decimal_isolate(35.345, 2))
   print(decimal_isolate(35.345, 3))
   print(decimal_isolate(-14.789, 3))
   print(decimal_isolate(0, 2))
   print(decimal_isolate(-14.123, 1))
   print(decimal_isolate(-14.123, 2))
   print(decimal_isolate(-14.123, 3))
