


'''simple docstring'''
import re


def 			a      (			__a   )  ->	str:



					'''simple docstring'''






					if len(re.findall('''[ATCG]''' ,					__a   )   ) != len(__a   ):
										raise ValueError('''Invalid Strand'''   )

					return dna.translate(dna.maketrans('''ATCG''' ,					'''TAGC'''   )   )


if __name__ == "__main__":
		import doctest

		doctest.testmod()



'''simple docstring'''
def 			a      (			__a   )  ->	"list[int]":



					'''simple docstring'''






					if upper_limit < 0:
										raise ValueError('''Limit for the Catalan sequence must be ≥ 0'''   )

					UpperCamelCase__   :Optional[Any]												= [0] * (upper_limit + 1)

					# Base case: C(0) = C(1) = 1
					UpperCamelCase__   :int												= 1
					if upper_limit > 0:
										UpperCamelCase__   :int												= 1

					# Recurrence relation: C(i) = sum(C(j).C(i-j-1)), from j = 0 to i
					for i in range(2 ,					upper_limit + 1   ):
										for j in range(__a   ):
															catalan_list[i] += catalan_list[j] * catalan_list[i - j - 1]

					return catalan_list


if __name__ == "__main__":
		print('''\n********* Catalan Numbers Using Dynamic Programming ************\n''')
		print('''\n*** Enter -1 at any time to quit ***''')
		print('''\nEnter the upper limit (≥ 0) for the Catalan number sequence: ''', end='''''')
		try:
				while True:
						__snake_case							      =     int(input().strip())
						if N < 0:
								print('''\n********* Goodbye!! ************''')
								break
						else:
								print(F"""The Catalan numbers from 0 through {N} are:""")
								print(catalan_numbers(N))
								print('''Try another upper limit for the sequence: ''', end='''''')
		except (NameError, ValueError):
				print('''\n********* Invalid input, goodbye! ************\n''')

		import doctest

		doctest.testmod()