
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}'"""
							)








from manim import *

class        _UpperCamelCase				(					_A  ):






			'''simple docstring'''

			def       lowerCAmelCase__	(       self :       int      ):
							UpperCamelCase_:							Dict	=						Rectangle(height=0.5						,	width=0.5      )
							UpperCamelCase_:							Dict	=						Rectangle(height=0.46						,	width=0.46      ).set_stroke(width=0      )

							UpperCamelCase_:							Tuple	=						[mem.copy() for i in range(6      )]
							UpperCamelCase_:							List[str]	=						[mem.copy() for i in range(6      )]
							UpperCamelCase_:							List[str]	=						VGroup(*snake_case_      ).arrange(snake_case_						,	buff=0      )
							UpperCamelCase_:							Tuple	=						VGroup(*snake_case_      ).arrange(snake_case_						,	buff=0      )
							UpperCamelCase_:							Union[str, Any]	=						VGroup(snake_case_						,	snake_case_      ).arrange(snake_case_						,	buff=0      )
							UpperCamelCase_:							Optional[Any]	=						Text("""CPU"""						,	font_size=24      )
							UpperCamelCase_:							int	=						Group(snake_case_						,	snake_case_      ).arrange(snake_case_						,	buff=0.5						,	aligned_edge=snake_case_      )
							cpu.move_to([-2.5, -0.5, 0]      )
							self.add(snake_case_      )

							UpperCamelCase_:							Optional[int]	=						[mem.copy() for i in range(1      )]
							UpperCamelCase_:							Dict	=						VGroup(*snake_case_      ).arrange(snake_case_						,	buff=0      )
							UpperCamelCase_:							Optional[int]	=						Text("""GPU"""						,	font_size=24      )
							UpperCamelCase_:							Optional[int]	=						Group(snake_case_						,	snake_case_      ).arrange(snake_case_						,	buff=0.5						,	aligned_edge=snake_case_      )
							gpu.align_to(snake_case_						,	snake_case_      )
							gpu.set_x(gpu.get_x() - 1      )

							self.add(snake_case_      )

							UpperCamelCase_:							Dict	=						[mem.copy() for i in range(6      )]
							UpperCamelCase_:							List[str]	=						VGroup(*snake_case_      ).arrange(snake_case_						,	buff=0      )

							UpperCamelCase_:							Any	=						Text("""Model"""						,	font_size=24      )
							UpperCamelCase_:							Optional[Any]	=						Group(snake_case_						,	snake_case_      ).arrange(snake_case_						,	buff=0.5						,	aligned_edge=snake_case_      )
							model.move_to([3, -1.0, 0]      )

							self.play(
							    Create(snake_case_						,	run_time=1      )						,	Create(snake_case_						,	run_time=1      )						,	Create(snake_case_						,	run_time=1      )						,	)

							UpperCamelCase_:							List[Any]	=						MarkupText(
							    f'''First, an empty model skeleton is loaded\ninto <span fgcolor=\'{YELLOW}\'>memory</span> without using much RAM.'''						,	font_size=24						,	)

							UpperCamelCase_:							Optional[Any]	=						Square(side_length=2.2      )
							key.move_to([-5, 2, 0]      )

							UpperCamelCase_:							Union[str, Any]	=						MarkupText(
							    f'''<b>Key:</b>\n\n<span fgcolor=\'{YELLOW}\'>●</span> Empty Model'''						,	font_size=18						,	)

							key_text.move_to([-5, 2.4, 0]      )

							step_a.move_to([2, 2, 0]      )
							self.play(Write(snake_case_						,	run_time=2.5      )						,	Write(snake_case_      )						,	Write(snake_case_      )      )

							self.add(snake_case_      )

							UpperCamelCase_:							Union[str, Any]	=						[]
							UpperCamelCase_:							Union[str, Any]	=						[]
							UpperCamelCase_:							Tuple	=						[]
							for i, rect in enumerate(snake_case_      ):
											UpperCamelCase_:							Tuple	=						Rectangle(height=0.46						,	width=0.46      ).set_stroke(width=0.0      ).set_fill(snake_case_						,	opacity=0.7      )
											cpu_target.move_to(snake_case_      )
											cpu_target.generate_target()
											UpperCamelCase_:							int	=						0.46 / 4
											UpperCamelCase_:							Optional[int]	=						0.46 / 3

											if i == 0:
															cpu_target.target.next_to(cpu_left_col_base[0].get_corner(DOWN + LEFT      )						,	buff=0.02						,	direction=snake_case_      )
															cpu_target.target.set_x(cpu_target.target.get_x() + 0.1      )
											elif i == 3:
															cpu_target.target.next_to(cpu_targs[0].target						,	direction=snake_case_						,	buff=0.0      )
											else:
															cpu_target.target.next_to(cpu_targs[i - 1].target						,	direction=snake_case_						,	buff=0.0      )
											cpu_targs.append(snake_case_      )

											first_animations.append(rect.animate(run_time=0.5      ).set_stroke(snake_case_      )      )
											second_animations.append(MoveToTarget(snake_case_						,	run_time=1.5      )      )

							self.play(*snake_case_      )
							self.play(*snake_case_      )

							self.wait()






