




from random import randint
from tempfile import TemporaryFile

import numpy as np







def 			_a   (		SCREAMING_SNAKE_CASE_							:       Optional[Any]   ,   SCREAMING_SNAKE_CASE_							:       Optional[int]   ,   SCREAMING_SNAKE_CASE_							:       Dict  ):
					__lowerCAmelCase            = 0
					if start < end:
										__lowerCAmelCase            = randint(SCREAMING_SNAKE_CASE_   ,   SCREAMING_SNAKE_CASE_  )
										__lowerCAmelCase            = a[end]
										__lowerCAmelCase            = a[pivot]
										__lowerCAmelCase            = temp

										__lowerCAmelCase     ,							__lowerCAmelCase            = _in_place_partition(SCREAMING_SNAKE_CASE_   ,   SCREAMING_SNAKE_CASE_   ,   SCREAMING_SNAKE_CASE_  )
										count += _in_place_quick_sort(SCREAMING_SNAKE_CASE_   ,   SCREAMING_SNAKE_CASE_   ,   p - 1  )
										count += _in_place_quick_sort(SCREAMING_SNAKE_CASE_   ,   p + 1   ,   SCREAMING_SNAKE_CASE_  )
					return count







def 			_a   (		SCREAMING_SNAKE_CASE_							:       int   ,   SCREAMING_SNAKE_CASE_							:       Any   ,   SCREAMING_SNAKE_CASE_							:       List[Any]  ):
					__lowerCAmelCase            = 0
					__lowerCAmelCase            = randint(SCREAMING_SNAKE_CASE_   ,   SCREAMING_SNAKE_CASE_  )
					__lowerCAmelCase            = a[end]
					__lowerCAmelCase            = a[pivot]
					__lowerCAmelCase            = temp
					__lowerCAmelCase            = start - 1
					for index in range(SCREAMING_SNAKE_CASE_   ,   SCREAMING_SNAKE_CASE_  ):
										count += 1
										if a[index] < a[end]:  # check if current val is less than pivot value
															__lowerCAmelCase            = new_pivot_index + 1
															__lowerCAmelCase            = a[new_pivot_index]
															__lowerCAmelCase            = a[index]
															__lowerCAmelCase            = temp

					__lowerCAmelCase            = a[new_pivot_index + 1]
					__lowerCAmelCase            = a[end]
					__lowerCAmelCase            = temp
					return new_pivot_index + 1, count


UpperCamelCase__					    =    TemporaryFile()
UpperCamelCase__					    =    100  # 1000 elements are to be sorted


UpperCamelCase__    ,			UpperCamelCase__					    =    0, 1  # mean and standard deviation
UpperCamelCase__					    =    np.random.normal(mu, sigma, p)
np.save(outfile, X)
print("""The array is""")
print(X)


outfile.seek(0)  # using the same array
UpperCamelCase__					    =    np.load(outfile)
UpperCamelCase__					    =    len(M) - 1
UpperCamelCase__					    =    _in_place_quick_sort(M, 0, r)

print(
    """No of Comparisons for 100 elements selected from a standard normal distribution"""
    """is :"""
)


print(z)










def 			_a   (		SCREAMING_SNAKE_CASE_							:       int  ):
					if divisor % 5 == 0 or divisor % 2 == 0:
										return 0
					__lowerCAmelCase            = 1
					__lowerCAmelCase            = 1
					while repunit:
										__lowerCAmelCase            = (10 * repunit + 1) % divisor
										repunit_index += 1
					return repunit_index







def 			_a   (		SCREAMING_SNAKE_CASE_							:       int = 1_00_00_00  ):
					__lowerCAmelCase            = limit - 1
					if divisor % 2 == 0:
										divisor += 1
					while least_divisible_repunit(SCREAMING_SNAKE_CASE_  ) <= limit:
										divisor += 2
					return divisor


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




