
from __future__ import annotations

from typing import TypedDict

class        _UpperCamelCase				(					_A  ):






			'''simple docstring'''

			__UpperCamelCase      :						str
			__UpperCamelCase      :						int







def        A__					(						lowerCamelCase						)  ->	list[str]:
				if not isinstance(lowerCamelCase     ,    lowerCamelCase						):
								raise TypeError("""The parameter s type must be str."""						)

				return [s[i:] + s[:i] for i in range(len(lowerCamelCase						)						)]







def        A__					(						lowerCamelCase						)  ->	BWTTransformDict:
				if not isinstance(lowerCamelCase     ,    lowerCamelCase						):
								raise TypeError("""The parameter s type must be str."""						)
				if not s:
								raise ValueError("""The parameter s must not be empty."""						)

				UpperCamelCase_:							str	=						all_rotations(lowerCamelCase						)
				rotations.sort()  # sort the list of rotations in alphabetically order
				# make a string composed of the last char of each rotation
				UpperCamelCase_:							BWTTransformDict	=						{
				    "bwt_string": "".join([word[-1] for word in rotations]						),
				    "idx_original_string": rotations.index(lowerCamelCase						),
				}
				return response







def        A__					(						lowerCamelCase     ,    lowerCamelCase						)  ->	str:
				if not isinstance(lowerCamelCase     ,    lowerCamelCase						):
								raise TypeError("""The parameter bwt_string type must be str."""						)
				if not bwt_string:
								raise ValueError("""The parameter bwt_string must not be empty."""						)
				try:
								UpperCamelCase_:							int	=						int(lowerCamelCase						)
				except ValueError:
								raise TypeError(
								    """The parameter idx_original_string type must be int or passive"""
								    """ of cast to int."""						)
				if idx_original_string < 0:
								raise ValueError("""The parameter idx_original_string must not be lower than 0."""						)
				if idx_original_string >= len(lowerCamelCase						):
								raise ValueError(
								    """The parameter idx_original_string must be lower than""" """ len(bwt_string)."""						)

				UpperCamelCase_:							List[Any]	=						[""""""] * len(lowerCamelCase						)
				for _ in range(len(lowerCamelCase						)						):
								for i in range(len(lowerCamelCase						)						):
												UpperCamelCase_:							List[str]	=						bwt_string[i] + ordered_rotations[i]
								ordered_rotations.sort()
				return ordered_rotations[idx_original_string]


if __name__ == "__main__":
							lowerCamelCase_						: Any         =  """Provide a string that I will generate its BWT transform: """
							lowerCamelCase_						: int         =  input(entry_msg).strip()
							lowerCamelCase_						: Union[str, Any]         =  bwt_transform(s)
							print(
							    F"""Burrows Wheeler transform for string '{s}' results """
							    F"""in '{result['bwt_string']}'"""
							)
							lowerCamelCase_						: str         =  reverse_bwt(result["""bwt_string"""], result["""idx_original_string"""])
							print(
							    F"""Reversing Burrows Wheeler transform for entry '{result['bwt_string']}' """
							    F"""we get original string '{original_string}'"""
							)








def        A__					(						lowerCamelCase = 50						)  ->	int:
				UpperCamelCase_:							List[Any]	=						[[0] * 3 for _ in range(length + 1						)]

				for row_length in range(length + 1						):
								for tile_length in range(2     ,    5						):
												for tile_start in range(row_length - tile_length + 1						):
																different_colour_ways_number[row_length][tile_length - 2] += (
																    different_colour_ways_number[row_length - tile_start - tile_length][
																        tile_length - 2
																    ]
																    + 1
																)

				return sum(different_colour_ways_number[length]						)


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






