






from __future__ import annotations

import math







def 					SCREAMING_SNAKE_CASE    (			snake_case_ :							Optional[int]					,  snake_case_ :							Dict					,  snake_case_ :							Tuple					,  snake_case_ :							List[Any]					,  snake_case_ :							Tuple       ):







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

	if len(_A       ) == 0:
		raise ValueError("Scores cannot be empty"       )

	if depth == height:
		return scores[node_index]

	if is_max:
		return max(
		    minimax(depth + 1					,  node_index * 2					,  _A					,  _A					,  _A       )					,  minimax(depth + 1					,  node_index * 2 + 1					,  _A					,  _A					,  _A       )					,  )

	return min(
	    minimax(depth + 1					,  node_index * 2					,  _A					,  _A					,  _A       )					,  minimax(depth + 1					,  node_index * 2 + 1					,  _A					,  _A					,  _A       )					,  )







def 					SCREAMING_SNAKE_CASE    (			):
	snake_case__			:				List[Any]       =  [90, 23, 6, 33, 21, 65, 123, 34423]
	snake_case__			:				Optional[int]       =  math.log(len(_A       )					,  2       )
	print("Optimal value : "					,  end=""       )
	print(minimax(0					,  0					,  _A					,  _A					,  _A       )       )


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	main()











from __future__ import annotations







def 					SCREAMING_SNAKE_CASE    (			snake_case_ :							float					,  snake_case_ :							float					,  snake_case_ :							float       ):
	if days_between_payments <= 0:
		raise ValueError("days_between_payments must be > 0"       )
	if daily_interest_rate < 0:
		raise ValueError("daily_interest_rate must be >= 0"       )
	if principal <= 0:
		raise ValueError("principal must be > 0"       )
	return principal * daily_interest_rate * days_between_payments







def 					SCREAMING_SNAKE_CASE    (			snake_case_ :							float					,  snake_case_ :							float					,  snake_case_ :							float					,  ):
	if number_of_compounding_periods <= 0:
		raise ValueError("number_of_compounding_periods must be > 0"       )
	if nominal_annual_interest_rate_percentage < 0:
		raise ValueError("nominal_annual_interest_rate_percentage must be >= 0"       )
	if principal <= 0:
		raise ValueError("principal must be > 0"       )

	return principal * (
	    (1 + nominal_annual_interest_rate_percentage) ** number_of_compounding_periods
	    - 1
	)







def 					SCREAMING_SNAKE_CASE    (			snake_case_ :							float					,  snake_case_ :							float					,  snake_case_ :							float					,  ):
	if number_of_years <= 0:
		raise ValueError("number_of_years must be > 0"       )
	if nominal_annual_percentage_rate < 0:
		raise ValueError("nominal_annual_percentage_rate must be >= 0"       )
	if principal <= 0:
		raise ValueError("principal must be > 0"       )

	return compound_interest(
	    snake_case_					,  nominal_annual_percentage_rate / 365					,  number_of_years * 365       )


if __name__ == "__main__":
	import doctest

	doctest.testmod()



