



"""simple docstring"""






from __future__ import annotations

import math

_lowercase			:			Union[str, Any]										=						"2020.9.26"
_lowercase			:			Dict										=						"xcodz-dot, cclaus, dhruvmanila"






def 					snake_case__       (		__lowerCamelCase    :   float							,		__lowerCamelCase    :   float							,		__lowerCamelCase    :   float							,		__lowerCamelCase    :   float							,		__lowerCamelCase    :   float     ):
			"""simple docstring"""
			if not all(isinstance(__lowerCamelCase							,		(float, int)     ) for val in locals().values()     ):
						lowerCamelCase__		:		Union[str, Any]		     =f'''Input values must either be float or int: {list(locals().values()     )}'''
						raise TypeError(__lowerCamelCase     )
			lowerCamelCase__		:		Optional[int]		     =((x * distance) / (z + distance)) * scale
			lowerCamelCase__		:		Any		     =((y * distance) / (z + distance)) * scale
			return projected_x, projected_y






def 					snake_case__       (		__lowerCamelCase    :   float							,		__lowerCamelCase    :   float							,		__lowerCamelCase    :   float							,		__lowerCamelCase    :   str							,		__lowerCamelCase    :   float     ):
			"""simple docstring"""
			if not isinstance(__lowerCamelCase							,		__lowerCamelCase     ):
						raise TypeError('''Axis must be a str'''     )
			lowerCamelCase__		:		Dict		     =locals()
			del input_variables["axis"]
			if not all(isinstance(__lowerCamelCase							,		(float, int)     ) for val in input_variables.values()     ):
						lowerCamelCase__		:		List[Any]		     =(
						    '''Input values except axis must either be float or int: '''
						    f'''{list(input_variables.values()     )}'''
						)
						raise TypeError(__lowerCamelCase     )
			lowerCamelCase__		:		Tuple		     =(angle % 360) / 450 * 180 / math.pi
			if axis == "z":
						lowerCamelCase__		:		Dict		     =x * math.cos(__lowerCamelCase     ) - y * math.sin(__lowerCamelCase     )
						lowerCamelCase__		:		str		     =y * math.cos(__lowerCamelCase     ) + x * math.sin(__lowerCamelCase     )
						lowerCamelCase__		:		str		     =z
			elif axis == "x":
						lowerCamelCase__		:		Optional[int]		     =y * math.cos(__lowerCamelCase     ) - z * math.sin(__lowerCamelCase     )
						lowerCamelCase__		:		Optional[Any]		     =z * math.cos(__lowerCamelCase     ) + y * math.sin(__lowerCamelCase     )
						lowerCamelCase__		:		Dict		     =x
			elif axis == "y":
						lowerCamelCase__		:		List[Any]		     =x * math.cos(__lowerCamelCase     ) - z * math.sin(__lowerCamelCase     )
						lowerCamelCase__		:		List[Any]		     =z * math.cos(__lowerCamelCase     ) + x * math.sin(__lowerCamelCase     )
						lowerCamelCase__		:		Optional[Any]		     =y
			else:
						raise ValueError('''not a valid axis, choose one of \'x\', \'y\', \'z\''''     )

			return new_x, new_y, new_z


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		print(f'{convert_to_ad(1.0, 2.0, 3.0, 10.0, 10.0) = }')
		print(f'{rotate(1.0, 2.0, 3.0, "y", 90.0) = }')









"""simple docstring"""






from __future__ import annotations






def 					snake_case__       (		__lowerCamelCase    :   str							,		__lowerCamelCase    :   list[str] | None = None     ):
			"""simple docstring"""
			lowerCamelCase__		:		List[Any]		     =word_bank or []
			# create a table
			lowerCamelCase__		:		int		     =len(__lowerCamelCase     ) + 1

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

			# iterate through the indices
			for i in range(__lowerCamelCase     ):
						# condition
						if table[i] != []:
									for word in word_bank:
												# slice condition
												if target[i : i + len(__lowerCamelCase     )] == 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(__lowerCamelCase     )] += new_combinations

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

			return table[len(__lowerCamelCase     )]


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"],
		    )
		)




