


from __future__ import annotations

from itertools import permutations
from random import randint
from timeit import repeat


def lowerCAmelCase_      (				):






 """simple docstring"""







 __lowercase									=	[randint(-1000				,   1000 ) for i in range(10 )]
 __lowercase									=	randint(-5000				,   5000 )
 return (arr, r)


UpperCAmelCase__  							=make_dataset()


def lowerCAmelCase_      (				UpperCamelCase__	: list[int]				,   UpperCamelCase__	: int ):






 """simple docstring"""







 for triplet in permutations(_lowerCamelCase				,   3 ):
  if sum(_lowerCamelCase ) == target:
   return tuple(sorted(_lowerCamelCase ) )
 return (0, 0, 0)


def lowerCAmelCase_      (				UpperCamelCase__	: list[int]				,   UpperCamelCase__	: int ):






 """simple docstring"""







 arr.sort()
 __lowercase									=	len(_lowerCamelCase )
 for i in range(n - 1 ):
  __lowercase									=	i + 1, n - 1
  while left < right:
   if arr[i] + arr[left] + arr[right] == target:
    return (arr[i], arr[left], arr[right])
   elif arr[i] + arr[left] + arr[right] < target:
    left += 1
   elif arr[i] + arr[left] + arr[right] > target:
    right -= 1
 return (0, 0, 0)


def lowerCAmelCase_      (				):






 """simple docstring"""







 __lowercase									=	"\nfrom __main__ import dataset, triplet_sum1, triplet_sum2\n"
 __lowercase									=	"\ntriplet_sum1(*dataset)\n"
 __lowercase									=	"\ntriplet_sum2(*dataset)\n"
 __lowercase									=	repeat(setup=_lowerCamelCase				,   stmt=_lowerCamelCase				,   repeat=5				,   number=10000 )
 __lowercase									=	repeat(setup=_lowerCamelCase				,   stmt=_lowerCamelCase				,   repeat=5				,   number=10000 )
 return (min(_lowerCamelCase ), min(_lowerCamelCase ))


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

       testmod()
       UpperCAmelCase__  							=solution_times()
       print(f"""The time for naive implementation is {times[0]}.""")
       print(f"""The time for optimized implementation is {times[1]}.""")




"""simple docstring"""

def lowerCAmelCase_      (				UpperCamelCase__	: str				,   UpperCamelCase__	: str ):






 """simple docstring"""







 assert x is not None
 assert y is not None

 __lowercase									=	len(UpperCamelCase__ )
 __lowercase									=	len(UpperCamelCase__ )

 # declaring the array for storing the dp values
 __lowercase									=	[[0] * (n + 1) for _ in range(m + 1 )]  # noqa: E741

 for i in range(1				,   m + 1 ):
  for j in range(1				,   n + 1 ):
   __lowercase									=	1 if x[i - 1] == y[j - 1] else 0

   __lowercase									=	max(l[i - 1][j]				,   l[i][j - 1]				,   l[i - 1][j - 1] + match )

 __lowercase									=	""""""
 __lowercase							,		__lowercase									=	m, n
 while i > 0 and j > 0:
  __lowercase									=	1 if x[i - 1] == y[j - 1] else 0

  if l[i][j] == l[i - 1][j - 1] + match:
   if match == 1:
    __lowercase									=	x[i - 1] + seq
   i -= 1
   j -= 1
  elif l[i][j] == l[i - 1][j]:
   i -= 1
  else:
   j -= 1

 return l[m][n], seq


if __name__ == "__main__":
       UpperCAmelCase__  							="AGGTAB"
       UpperCAmelCase__  							="GXTXAYB"
       UpperCAmelCase__  							=4
       UpperCAmelCase__  							="GTAB"

       UpperCAmelCase__							,      UpperCAmelCase__  							=longest_common_subsequence(a, b)
       print("len =", ln, ", sub-sequence =", subseq)
       import doctest

       doctest.testmod()
