

"""simple docstring"""




def       lowercase__						(       snake_case_   :list    ):

	if not grid or not grid[0]:
		raise TypeError('''The grid does not contain the appropriate information'''    )

	for cell_n in range(1			,		len(grid[0]    )    ):
		grid[0][cell_n] += grid[0][cell_n - 1]
	__UpperCAmelCase      		= grid[0]

	for row_n in range(1			,		len(snake_case_    )    ):
		__UpperCAmelCase      		= grid[row_n]
		__UpperCAmelCase      		= fill_row(snake_case_			,		snake_case_    )
		__UpperCAmelCase      		= grid[row_n]

	return grid[-1][-1]





def       lowercase__						(       snake_case_   :list			,		snake_case_   :list    ):
	current_row[0] += row_above[0]
	for cell_n in range(1			,		len(snake_case_    )    ):
		current_row[cell_n] += min(current_row[cell_n - 1]			,		row_above[cell_n]    )

	return current_row


if __name__ == "__main__":
				import doctest

				doctest.testmod()







'''simple docstring'''






from __future__ import annotations

import math







def 					_a						(       _lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase ) ->				int:



			"""simple docstring"""


			if depth < 0:
						raise ValueError("""Depth cannot be less than 0""" )

			if not scores:
						raise ValueError("""Scores cannot be empty""" )

			if depth == height:
						return scores[node_index]

			return (
			    max(
			        minimax(depth + 1    ,	node_index * 2    ,	_lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase )    ,	minimax(depth + 1    ,	node_index * 2 + 1    ,	_lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase )    ,	)
			    if is_max
			    else min(
			        minimax(depth + 1    ,	node_index * 2    ,	_lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase )    ,	minimax(depth + 1    ,	node_index * 2 + 1    ,	_lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase )    ,	)
			)







def 					_a						(       ) ->				None:



			"""simple docstring"""


			__snake_case					:      Union[str, Any]							      =     [90, 23, 6, 33, 21, 65, 123, 3_4423]
			__snake_case					:      Optional[int]							      =     math.log(len(_lowerCamelCase )    ,	2 )
			print(F'''Optimal value : {minimax(0    ,	0    ,	_lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase )}''' )


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	main()


