
"""simple docstring"""



from __future__ import annotations

from dataclasses import dataclass
@dataclass
class        _SCREAMING_SNAKE_CASE  :






				'''simple docstring'''



				SCREAMING_SNAKE_CASE_:							float
				SCREAMING_SNAKE_CASE_:							TreeNode | None							=					None
				SCREAMING_SNAKE_CASE_:							TreeNode | None							=					None






def 	__snake_case  (    SCREAMING_SNAKE_CASE:					TreeNode | None						):






							"""simple docstring"""



							def is_valid_tree(SCREAMING_SNAKE_CASE:					TreeNode | None						) -> bool:
														if node is None:
																					return True

														if not isinstance(SCREAMING_SNAKE_CASE     ,  SCREAMING_SNAKE_CASE						):
																					return False

														try:
																					float(node.data						)
														except (TypeError, ValueError):
																					return False

														return is_valid_tree(node.left						) and is_valid_tree(node.right						)

							if not is_valid_tree(SCREAMING_SNAKE_CASE						):
														raise ValueError(
														    'Each node should be type of TreeNode and data should be float.'						)

							def is_binary_search_tree_recursive_check(
							    SCREAMING_SNAKE_CASE:					TreeNode | None     ,  SCREAMING_SNAKE_CASE:					float     ,  SCREAMING_SNAKE_CASE:					float						) -> bool:

														if node is None:
																					return True

														return (
														    left_bound < node.data < right_bound
														    and is_binary_search_tree_recursive_check(node.left     ,  SCREAMING_SNAKE_CASE     ,  node.data						)
														    and is_binary_search_tree_recursive_check(
														        node.right     ,  node.data     ,  SCREAMING_SNAKE_CASE						)
														)

							return is_binary_search_tree_recursive_check(SCREAMING_SNAKE_CASE     ,  -float('inf'						)     ,  float('inf'						)						)


if __name__ == "__main__":
	import doctest

	doctest.testmod()








"""simple docstring"""



def 	__snake_case  (    SCREAMING_SNAKE_CASE:					str						):






							"""simple docstring"""



							_lowerCAmelCase  	=			[0 for i in range(len(SCREAMING_SNAKE_CASE						)						)]

							# initialize interval's left pointer and right pointer
							_lowerCAmelCase	,		_lowerCAmelCase  	=			0, 0

							for i in range(1     ,  len(SCREAMING_SNAKE_CASE						)						):
														# case when current index is inside the interval
														if i <= right_pointer:
																					_lowerCAmelCase  	=			min(right_pointer - i + 1     ,  z_result[i - left_pointer]						)
																					_lowerCAmelCase  	=			min_edge

														while go_next(SCREAMING_SNAKE_CASE     ,  SCREAMING_SNAKE_CASE     ,  SCREAMING_SNAKE_CASE						):
																					z_result[i] += 1

														# if new index's result gives us more right interval,
														# we've to update left_pointer and right_pointer
														if i + z_result[i] - 1 > right_pointer:
																					_lowerCAmelCase	,		_lowerCAmelCase  	=			i, i + z_result[i] - 1

							return z_result






def 	__snake_case  (    SCREAMING_SNAKE_CASE:					int     ,  SCREAMING_SNAKE_CASE:					list[int]     ,  SCREAMING_SNAKE_CASE:					str						):






							"""simple docstring"""



							return i + z_result[i] < len(SCREAMING_SNAKE_CASE						) and s[z_result[i]] == s[i + z_result[i]]






def 	__snake_case  (    SCREAMING_SNAKE_CASE:					str     ,  SCREAMING_SNAKE_CASE:					str						):






							"""simple docstring"""



							_lowerCAmelCase  	=			0
							# concatenate 'pattern' and 'input_str' and call z_function
							# with concatenated string
							_lowerCAmelCase  	=			z_function(pattern + input_str						)

							for val in z_result:
														# if value is greater then length of the pattern string
														# that means this index is starting position of substring
														# which is equal to pattern string
														if val >= len(SCREAMING_SNAKE_CASE						):
																					answer += 1

							return answer


if __name__ == "__main__":
	import doctest

	doctest.testmod()






