



from timeit import timeit

_lowercase     							=						{
    '''MALAYALAM''': True,
    '''String''': False,
    '''rotor''': True,
    '''level''': True,
    '''A''': True,
    '''BB''': True,
    '''ABC''': False,
    '''amanaplanacanalpanama''': True,  # "a man a plan a canal panama"
}
# Ensure our test data is valid
assert all((key == key[::-1]) is value for key, value in test_data.items())






def      _A				(UpperCamelCase		:      str )  ->bool:



			'''simple docstring'''







			lowerCamelCase__ :      int								=		0
			lowerCamelCase__ :      Dict								=		len(UpperCamelCase ) - 1
			while start_i < end_i:
						if s[start_i] == s[end_i]:
									start_i += 1
									end_i -= 1
						else:
									return False
			return True






def      _A				(UpperCamelCase		:      str )  ->bool:



			'''simple docstring'''







			lowerCamelCase__ :      Union[str, Any]								=		len(UpperCamelCase ) // 2
			lowerCamelCase__ :      List[str]								=		len(UpperCamelCase )

			# We need to traverse till half of the length of string
			# as we can get access of the i'th last element from
			# i'th index.
			# eg: [0,1,2,3,4,5] => 4th index can be accessed
			# with the help of 1st index (i==n-i-1)
			# where n is length of string
			return all(s[i] == s[n - i - 1] for i in range(UpperCamelCase ) )






def      _A				(UpperCamelCase		:      str )  ->bool:



			'''simple docstring'''







			if len(UpperCamelCase ) <= 2:
						return True
			if s[0] == s[len(UpperCamelCase ) - 1]:
						return is_palindrome_recursive(s[1:-1] )
			else:
						return False






def      _A				(UpperCamelCase		:      str )  ->bool:



			'''simple docstring'''







			return s == s[::-1]






def      _A				(UpperCamelCase		:      str )  ->None:



			'''simple docstring'''







			lowerCamelCase__ :      Union[str, Any]								=		f"all({name}(key) is value for key, value in test_data.items())"
			lowerCamelCase__ :      Union[str, Any]								=		f"from __main__ import test_data, {name}"
			lowerCamelCase__ :      Union[str, Any]								=		500000
			lowerCamelCase__ :      Tuple								=		timeit(stmt=UpperCamelCase      ,			setup=UpperCamelCase      ,			number=UpperCamelCase )
			print(f"{name:<35} finished {number:,} runs in {result:.5f} seconds" )


if __name__ == "__main__":
				for key, value in test_data.items():
								assert is_palindrome(key) is is_palindrome_recursive(key)
								assert is_palindrome(key) is is_palindrome_slice(key)
								print(F'''{key:21} {value}''')
				print('''a man a plan a canal panama''')

				# finished 500,000 runs in 0.46793 seconds
				benchmark_function('''is_palindrome_slice''')
				# finished 500,000 runs in 0.85234 seconds
				benchmark_function('''is_palindrome''')
				# finished 500,000 runs in 1.32028 seconds
				benchmark_function('''is_palindrome_recursive''')
				# finished 500,000 runs in 2.08679 seconds
				benchmark_function('''is_palindrome_traversal''')








from __future__ import annotations






def      _A				(UpperCamelCase		:      str      ,			UpperCamelCase		:      list[str] | None = None )  ->list[list[str]]:



			'''simple docstring'''







			lowerCamelCase__ :      List[str]								=		word_bank or []
			# create a table
			lowerCamelCase__ :      int								=		len(UpperCamelCase ) + 1

			lowerCamelCase__ :      list[list[list[str]]]								=		[]
			for _ in range(UpperCamelCase ):
						table.append([] )
			# seed value
			lowerCamelCase__ :      Tuple								=		[[]]  # because empty string has empty combination

			# iterate through the indices
			for i in range(UpperCamelCase ):
						# condition
						if table[i] != []:
									for word in word_bank:
												# slice condition
												if target[i : i + len(UpperCamelCase )] == word:
															lowerCamelCase__ :      list[list[str]]								=		[
															    [word, *way] for way in table[i]
															]
															# adds the word to every combination the current position holds
															# now,push that combination to the table[i+len(word)]
															table[i + len(UpperCamelCase )] += new_combinations

    # combinations are in reverse order so reverse for better output
			for combination in table[len(UpperCamelCase )]:
						combination.reverse()

			return table[len(UpperCamelCase )]


if __name__ == "__main__":
				print(all_construct('''jwajalapa''', ['''jwa''', '''j''', '''w''', '''a''', '''la''', '''lapa''']))
				print(all_construct('''rajamati''', ['''s''', '''raj''', '''amat''', '''raja''', '''ma''', '''i''', '''t''']))
				print(
				    all_construct(
				        '''hexagonosaurus''',
				        ['''h''', '''ex''', '''hex''', '''ag''', '''ago''', '''ru''', '''auru''', '''rus''', '''go''', '''no''', '''o''', '''s'''],
				    )
				)



