'''simple docstring'''

import random


def __a (	__lowerCamelCase			:						list ,		__lowerCamelCase			:						Optional[int]				)	->							tuple:
      '''simple docstring'''


      lowercase_ ,							lowercase_ ,							lowercase_     =      [], [], []
      for element in data:
            if element < pivot:
                  less.append(__lowerCamelCase				)
            elif element > pivot:
                  greater.append(__lowerCamelCase				)
            else:
                  equal.append(__lowerCamelCase				)
      return less, equal, greater






def __a (	__lowerCamelCase			:						list ,		__lowerCamelCase			:						int				)	->							Optional[Any]:
      '''simple docstring'''


      if index >= len(__lowerCamelCase				) or index < 0:
            return None

      lowercase_     =      items[random.randint(0 ,		len(__lowerCamelCase				) - 1				)]
      lowercase_     =      0
      lowercase_ ,							lowercase_ ,							lowercase_     =      _partition(__lowerCamelCase ,		__lowerCamelCase				)
      lowercase_     =      len(__lowerCamelCase				)
      lowercase_     =      len(__lowerCamelCase				)

      # index is the pivot
      if m <= index < m + count:
            return pivot
      # must be in smaller
      elif m > index:
            return quick_select(__lowerCamelCase ,		__lowerCamelCase				)
      # must be in larger
      else:
            return quick_select(__lowerCamelCase ,		index - (m + count)				)







'''simple docstring'''

from __future__ import annotations


def __a (	__lowerCamelCase			:						list[list[int]]				)	->							bool:
      '''simple docstring'''


      lowercase_     =      len(__lowerCamelCase				)
      # We need to create solution object to save path.
      lowercase_     =      [[0 for _ in range(__lowerCamelCase				)] for _ in range(__lowerCamelCase				)]
      lowercase_     =      run_maze(__lowerCamelCase ,		0 ,		0 ,		__lowerCamelCase				)
      if solved:
            print("\n".join(str(__lowerCamelCase				) for row in solutions				)				)
      else:
            print("No solution exists!"				)
      return solved


def __a (	__lowerCamelCase			:						list[list[int]] ,		__lowerCamelCase			:						int ,		__lowerCamelCase			:						int ,		__lowerCamelCase			:						list[list[int]]				)	->							bool:
      '''simple docstring'''


      lowercase_     =      len(__lowerCamelCase				)
      # Final check point.
      if i == j == (size - 1):
            lowercase_     =      1
            return True

      lowercase_     =      (not i < 0) and (not j < 0)  # Check lower bounds
      lowercase_     =      (i < size) and (j < size)  # Check upper bounds

      if lower_flag and upper_flag:
            # check for already visited and block points.
            lowercase_     =      (not solutions[i][j]) and (not maze[i][j])
            if block_flag:
                  # check visited
                  lowercase_     =      1

                  # check for directions
                  if (
                      run_maze(__lowerCamelCase ,		i + 1 ,		__lowerCamelCase ,		__lowerCamelCase				)
                      or run_maze(__lowerCamelCase ,		__lowerCamelCase ,		j + 1 ,		__lowerCamelCase				)
                      or run_maze(__lowerCamelCase ,		i - 1 ,		__lowerCamelCase ,		__lowerCamelCase				)
                      or run_maze(__lowerCamelCase ,		__lowerCamelCase ,		j - 1 ,		__lowerCamelCase				)
                  ):
                        return True

                  lowercase_     =      0
                  return False
      return False


if __name__ == "__main__":
       import doctest

       doctest.testmod()






