
def  __lowerCamelCase					( _lowercase						,     _lowercase			)       ->      str:
     UpperCamelCase						    =					[[] for _ in range(_lowercase			)]
     UpperCamelCase						    =					key - 1

     if key <= 0:
          raise ValueError('Height of grid can\'t be 0 or negative'			)
     if key == 1 or len(_lowercase			) <= key:
          return input_string

     for position, character in enumerate(_lowercase			):
          UpperCamelCase						    =					position % (lowest * 2)  # puts it in bounds
          UpperCamelCase						    =					min(_lowercase						,     lowest * 2 - num			)  # creates zigzag pattern
          temp_grid[num].append(_lowercase			)
     UpperCamelCase						    =					[''.join(_lowercase			) for row in temp_grid]
     UpperCamelCase						    =					''.join(_lowercase			)

     return output_string

def  __lowerCamelCase					( _lowercase						,     _lowercase			)       ->      str:
     UpperCamelCase						    =					[]
     UpperCamelCase						    =					key - 1

     if key <= 0:
          raise ValueError('Height of grid can\'t be 0 or negative'			)
     if key == 1:
          return input_string

     UpperCamelCase						    =					[[] for _ in range(_lowercase			)]  # generates template
     for position in range(len(_lowercase			)			):
          UpperCamelCase						    =					position % (lowest * 2)  # puts it in bounds
          UpperCamelCase						    =					min(_lowercase						,     lowest * 2 - num			)  # creates zigzag pattern
          temp_grid[num].append('*'			)

     UpperCamelCase						    =					0
     for row in temp_grid:  # fills in the characters
          UpperCamelCase						    =					input_string[counter : counter + len(_lowercase			)]
          grid.append(list(_lowercase			)			)
          counter += len(_lowercase			)

     UpperCamelCase						    =					''  # reads as zigzag
     for position in range(len(_lowercase			)			):
          UpperCamelCase						    =					position % (lowest * 2)  # puts it in bounds
          UpperCamelCase						    =					min(_lowercase						,     lowest * 2 - num			)  # creates zigzag pattern
          output_string += grid[num][0]
          grid[num].pop(0			)
     return output_string

def  __lowerCamelCase					( _lowercase			)       ->      dict[int, str]:
     UpperCamelCase						    =					{}
     for key_guess in range(1						,     len(_lowercase			)			):  # tries every key
          UpperCamelCase						    =					decrypt(_lowercase						,     _lowercase			)
     return results


if __name__ == "__main__":
 import doctest

 doctest.testmod()




from __future__ import annotations

from collections import Counter
from random import random
class       _lowerCAmelCase  :

 """simple docstring"""

 def __init__(						self			:			Union[str, Any]   ):






      """simple docstring"""



      UpperCamelCase						    =					{}

 def      __lowerCAmelCase  (						self			:			Tuple					, SCREAMING_SNAKE_CASE__			:			str   ):






      """simple docstring"""



      UpperCamelCase						    =					{}

 def      __lowerCAmelCase  (						self			:			Optional[Any]					, SCREAMING_SNAKE_CASE__			:			str					, SCREAMING_SNAKE_CASE__			:			str					, SCREAMING_SNAKE_CASE__			:			float   ):






      """simple docstring"""



      if nodea not in self.connections:
           self.add_node(SCREAMING_SNAKE_CASE__   )
      if nodea not in self.connections:
           self.add_node(SCREAMING_SNAKE_CASE__   )
      UpperCamelCase						    =					probability

 def      __lowerCAmelCase  (						self			:			str   ):






      """simple docstring"""



      return list(self.connections   )






 def      __lowerCAmelCase  (						self			:			Any					, SCREAMING_SNAKE_CASE__			:			str   ):






      """simple docstring"""



      UpperCamelCase						    =					0
      UpperCamelCase						    =					random()

      for dest in self.connections[node]:
           current_probability += self.connections[node][dest]
           if current_probability > random_value:
                return dest
      return ""




def  __lowerCamelCase					( _lowercase						,     _lowercase						,     _lowercase			)       ->      dict[str, int]:
     UpperCamelCase						    =					MarkovChainGraphUndirectedUnweighted()

     for nodea, nodea, probability in transitions:
          graph.add_transition_probability(_lowercase						,     _lowercase						,     _lowercase			)

     UpperCamelCase						    =					Counter(graph.get_nodes()			)
     UpperCamelCase						    =					start

     for _ in range(_lowercase			):
          UpperCamelCase						    =					graph.transition(_lowercase			)
          visited[node] += 1

     return visited


if __name__ == "__main__":
 import doctest

 doctest.testmod()


