




UpperCAmelCase_						="""Alexander Joslin"""

import operator as op

from .stack import Stack



def       UpperCAmelCase       (     _snake_case							):
							lowerCAmelCase   =		{'''*''': op.mul, '''/''': op.truediv, '''+''': op.add, '''-''': op.sub}

							lowerCAmelCase   =		Stack()
							lowerCAmelCase   =		Stack()

							for i in equation:
														if i.isdigit():
																					# RULE 1
																					operand_stack.push(int(_snake_case							)							)
														elif i in operators:
																					# RULE 2
																					operator_stack.push(_snake_case							)
														elif i == ")":
																					# RULE 4
																					lowerCAmelCase   =		operator_stack.peek()
																					operator_stack.pop()
																					lowerCAmelCase   =		operand_stack.peek()
																					operand_stack.pop()
																					lowerCAmelCase   =		operand_stack.peek()
																					operand_stack.pop()

																					lowerCAmelCase   =		operators[opr](_snake_case						, _snake_case							)
																					operand_stack.push(_snake_case							)

    # RULE 5
							return operand_stack.peek()


if __name__ == "__main__":
		UpperCAmelCase_						="""(5 + ((4 * 2) * (2 + 3)))"""
		# answer = 45
		print(F'''{equation} = {dijkstras_two_stack_algorithm(equation)}''')









def       UpperCAmelCase       (     _snake_case						, _snake_case						, _snake_case							):

							def count_of_possible_combinations(_snake_case							) -> int:
														if target < 0:
																					return 0
														if target == 0:
																					return 1
														return sum(count_of_possible_combinations(target - item							) for item in array							)

							return count_of_possible_combinations(_snake_case							)



def       UpperCAmelCase       (     _snake_case						, _snake_case						, _snake_case							):

							def count_of_possible_combinations_with_dp_array(
							    _snake_case						, _snake_case							) -> int:
														if target < 0:
																					return 0
														if target == 0:
																					return 1
														if dp_array[target] != -1:
																					return dp_array[target]
														lowerCAmelCase   =		sum(
														    count_of_possible_combinations_with_dp_array(target - item						, _snake_case							)
														    for item in array							)
														lowerCAmelCase   =		answer
														return answer

							lowerCAmelCase   =		[-1] * (target + 1)
							return count_of_possible_combinations_with_dp_array(_snake_case						, _snake_case							)



def       UpperCAmelCase       (     _snake_case						, _snake_case						, _snake_case							):
							lowerCAmelCase   =		[0] * (target + 1)
							lowerCAmelCase   =		1

							for i in range(1						, target + 1							):
														for j in range(_snake_case							):
																					if i - array[j] >= 0:
																												dp_array[i] += dp_array[i - array[j]]

							return dp_array[target]


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		UpperCAmelCase_						=3
		UpperCAmelCase_						=5
		UpperCAmelCase_						=[1, 2, 5]
		print(combination_sum_iv(n, array, target))



