




def 					lowerCamelCase__       (						A__       :					str  ,			A__       :					str	):





       '''simple docstring'''



       assert x is not None
       assert y is not None

       __lowerCamelCase   =						len(A__	)
       __lowerCamelCase   =						len(A__	)

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

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

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

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

              if l[i][j] == l[i - 1][j - 1] + match:
                     if match == 1:
                            __lowerCamelCase   =						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()







from math import sqrt







def 			lowerCamelCase_		(       UpperCamelCase__				:      int      )     ->       bool:





				"""simple docstring"""


				if 1 < number < 4:
								# 2 and 3 are primes
								return True
				elif number < 2 or number % 2 == 0 or number % 3 == 0:
								# Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
								return False

				# All primes number are in format of 6k +/- 1
				for i in range(5 ,     int(sqrt(UpperCamelCase__      ) + 1      ) ,     6      ):
								if number % i == 0 or number % (i + 2) == 0:
												return False
				return True







def 			lowerCamelCase_		(       UpperCamelCase__				:      int = 1_0001      )     ->       int:





				"""simple docstring"""


				__lowerCamelCase		       =    0
				__lowerCamelCase		       =    1
				while count != nth and number < 3:
								number += 1
								if is_prime(UpperCamelCase__      ):
												count += 1
				while count != nth:
								number += 2
								if is_prime(UpperCamelCase__      ):
												count += 1
				return number


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


