





from __future__ import annotations

from typing import TypedDict

class        __SCREAMING_SNAKE_CASE					(     _a       ):
							snake_case     :      str
							snake_case     :      int






def     _UpperCamelCase     (a__   :str       ):






							"""simple docstring"""





							if not isinstance(a__   ,			a__       ):
														raise TypeError("""The parameter s type must be str."""       )

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





def     _UpperCamelCase     (a__   :str       ):






							"""simple docstring"""





							if not isinstance(a__   ,			a__       ):
														raise TypeError("""The parameter s type must be str."""       )
							if not s:
														raise ValueError("""The parameter s must not be empty."""       )

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





def     _UpperCamelCase     (a__   :str   ,			a__   :int       ):






							"""simple docstring"""





							if not isinstance(a__   ,			a__       ):
														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(a__       )
							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(a__       ):
														raise ValueError(
														    """The parameter idx_original_string must be lower than""" """ len(bwt_string)."""       )

							UpperCamelCase__				     =			[""""""] * len(a__       )
							for _ in range(len(a__       )       ):
														for i in range(len(a__       )       ):
																					UpperCamelCase__				     =			bwt_string[i] + ordered_rotations[i]
														ordered_rotations.sort()
							return ordered_rotations[idx_original_string]


if __name__ == "__main__":
					UpperCamelCase__											= "Provide a string that I will generate its BWT transform: "
					UpperCamelCase__											= input(entry_msg).strip()
					UpperCamelCase__											= bwt_transform(s)
					print(
					    f"""Burrows Wheeler transform for string '{s}' results """
					    f"""in '{result['bwt_string']}'"""
					)
					UpperCamelCase__											= 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     _UpperCamelCase     (a__   :int       ):






							"""simple docstring"""





							if divisor % 5 == 0 or divisor % 2 == 0:
														return 0
							UpperCamelCase__				     =			1
							UpperCamelCase__				     =			1
							while repunit:
														UpperCamelCase__				     =			(10 * repunit + 1) % divisor
														repunit_index += 1
							return repunit_index





def     _UpperCamelCase     (a__   :int = 100_0000       ):






							"""simple docstring"""





							UpperCamelCase__				     =			limit - 1
							if divisor % 2 == 0:
														divisor += 1
							while least_divisible_repunit(a__       ) <= limit:
														divisor += 2
							return divisor


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




