Return the result of evaluating a given boolean expression, represented as a string.
An expression can either be:

"t", evaluating to True;
"f", evaluating to False;
"!(expr)", evaluating to the logical NOT of the inner expression expr;
"&(expr1,expr2,...)", evaluating to the logical AND of 2 or more inner expressions expr1, expr2, ...;
"|(expr1,expr2,...)", evaluating to the logical OR of 2 or more inner expressions expr1, expr2, ...

 
Example 1:
Input: expression = "!(f)"
Output: true

Example 2:
Input: expression = "|(f,t)"
Output: true

Example 3:
Input: expression = "&(t,f)"
Output: false

Example 4:
Input: expression = "|(&(t,f,t),!(t))"
Output: false

 
Constraints:

1 <= expression.length <= 20000
expression[i] consists of characters in {'(', ')', '&', '|', '!', 't', 'f', ','}.
expression is a valid expression representing a boolean, as given in the description.

Difficulty: MEDIUM
Tags: String algorithms

Data structures

Complete search
Skill types: Data structures

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Starter code:
class Solution:
    def parseBoolExpr(self, expression: str) -> bool:
        

Solutions:
class Solution:

	def parseBoolExpr(self, expression: str) -> bool:
		if expression == 'f':
			return False
		if expression == 't':
			return True
		if expression[0] == '!':
			return not self.parseBoolExpr(expression[2:-1])
		if expression[0] == '|':
			cursor = 2
			while cursor < len(expression) - 1:
				end_of_next = self.getNextExpr(expression, cursor)
				if self.parseBoolExpr(expression[cursor:end_of_next]):
					return True
				cursor = end_of_next + 1
			return False
		if expression[0] == '&':
			cursor = 2
			while cursor < len(expression) - 1:
				end_of_next = self.getNextExpr(expression, cursor)
				if not self.parseBoolExpr(expression[cursor:end_of_next]):
					return False
				cursor = end_of_next + 1
			return True

	def getNextExpr(self, expression, start):
		if expression[start] == '!' or expression[start] == '|' or expression[start] == '&':
			open_count = 1
			close_count = 0
			start += 1
			while open_count > close_count:
				start += 1
				if expression[start] == '(':
					open_count += 1
				if expression[start] == ')':
					close_count += 1
			return start + 1
		else:
			return start + 1


class Solution:

	def parseBoolExpr(self, expression: str) -> bool:
		bool_stack = []
		expr_stack = []
		curr = []
		for char in expression:
			if char == ',':
				continue
			elif char == '(':
				expr_stack.append(curr)
				curr = []
			elif char in 'tf':
				curr.append(True if char == 't' else False)
			elif char in '|&!':
				bool_stack.append(char)
			else:
				b = bool_stack.pop()
				prev = expr_stack.pop() if expr_stack else []
				if b == '!':
					curr = prev + [not curr.pop()]
				elif b == '&':
					curr = prev + [all(curr)]
				else:
					curr = prev + [any(curr)]
		return curr.pop()


from functools import reduce

class Solution:

	def parseBoolExpr(self, expression: str) -> bool:

		def parse_or(*l):
			return reduce(lambda x, y: x or y, l)

		def parse_and(*l):
			return reduce(lambda x, y: x and y, l)

		def parse_not(x):
			return not x
		expression = expression.replace('t', 'True')
		expression = expression.replace('f', 'False')
		expression = expression.replace('|', 'parse_or')
		expression = expression.replace('&', 'parse_and')
		expression = expression.replace('!', 'parse_not')
		return eval(expression)


class Solution:

	def get_arg_list(self, s1: List):
		args = []
		while s1 and isinstance(s1[-1], bool):
			args.append(s1.pop())
		return args

	def boolEval(self, symbol, s1: List):
		if symbol == '!':
			return not s1[0]
		elif symbol == '&':
			return all(s1)
		elif symbol == '|':
			return any(s1)
		else:
			raise ValueError('Invalid Symbol')

	def parseBoolExpr(self, expression: str) -> bool:
		s1 = []
		for c in expression:
			if c == '!' or c == '|' or c == '(' or (c == '&'):
				s1.append(c)
			elif c == 't' or c == 'f':
				s1.append(True if c == 't' else False)
			elif c == ')':
				args = self.get_arg_list(s1)
				s1.pop()
				top = s1[-1]
				while top == '!' or top == '|' or top == '&':
					ret = self.boolEval(s1.pop(), args)
					s1.append(ret)
					args = self.get_arg_list(s1)
					top = None if not s1 else s1[-1]
				s1 += args
			elif c == ',':
				pass
			else:
				raise ValueError('Invalid character')
		return s1[0]


class Solution:

	def parseBoolExpr(self, expression: str) -> bool:
		return eval(expression.translate(str.maketrans({'t': '1', 'f': '0', '!': 'not', '|': 'or_', '&': 'and_'})), {'or_': lambda *a: any(a), 'and_': lambda *a: all(a)})


class Solution:

	def parseBoolExpr(self, expression: str) -> bool:
		expression = list(expression)

		def replace_or(start: int):
			braket = 1
			for i in range(start, len(expression)):
				if expression[i] == '(':
					braket += 1
				elif expression[i] == ')':
					braket -= 1
				elif braket == 1 and expression[i] == ',':
					expression[i] = 'or'
				elif braket == 0:
					break
		for (idx, char) in enumerate(expression):
			if char == '|':
				expression[idx] = ''
				replace_or(idx + 2)
			elif char == '&':
				expression[idx] = ''
			elif char == 't':
				expression[idx] = 'True'
			elif char == 'f':
				expression[idx] = 'False'
			elif char == '!':
				expression[idx] = 'not'
		expr = ' '.join(expression).replace(',', 'and')
		return eval(expr)


class Solution:

	def parseBoolExpr(self, expression: str) -> bool:
		expression = list(expression)
		table = {'|': 'or', '&': 'and', 't': 'True', 'f': 'False'}
		logic = []
		(idx, par) = (0, True)
		while idx < len(expression):
			if expression[idx] in ['&', '|']:
				logic.append(table[expression[idx]])
				expression[idx] = ''
				idx += 2
			elif expression[idx] == '!':
				logic.append('not')
				expression[idx] = 'not'
				idx += 2
			else:
				if not par and logic:
					logic.pop()
					par = True
				if expression[idx] in ['t', 'f']:
					expression[idx] = table[expression[idx]]
				elif expression[idx] == ',':
					expression[idx] = logic[-1]
				elif expression[idx] == ')':
					if logic[-1] == 'not':
						logic.pop()
					else:
						par = False
				idx += 1
		return eval(' '.join(expression))


class Solution:

	def parseBoolExpr(self, ex: str) -> bool:

		def recur(i):
			if ex[i] in ('t', 'f'):
				return (True if ex[i] == 't' else False, i + 1)
			op = ex[i]
			i = i + 2
			stack = []
			while ex[i] != ')':
				if ex[i] == ',':
					i += 1
					continue
				(res, i) = recur(i)
				stack.append(res)
			if op == '&':
				return (all(stack), i + 1)
			elif op == '|':
				return (any(stack), i + 1)
			elif op == '!':
				return (not stack[0], i + 1)
			return (res, i + 1)
		return recur(0)[0]


class Solution:

	def parseBoolExpr(self, expression: str) -> bool:
		exp = collections.deque(expression)

		def or_opt(exp):
			exp.popleft()
			ret = False
			while exp:
				ret |= exp_opt(exp)
				if exp.popleft() == ')':
					return ret

		def and_opt(exp):
			exp.popleft()
			ret = True
			while exp:
				ret &= exp_opt(exp)
				if exp.popleft() == ')':
					return ret

		def exp_opt(exp):
			ch = exp.popleft()
			ret = False
			if ch == 't':
				ret = True
			elif ch == 'f':
				ret = False
			elif ch == '!':
				exp.popleft()
				ret = not exp_opt(exp)
				exp.popleft()
			elif ch == '|':
				ret = or_opt(exp)
			elif ch == '&':
				ret = and_opt(exp)
			return ret
		return exp_opt(exp)


class Solution:

	def parseBoolExpr(self, expression: str) -> bool:

		def split_into_list(expression):
			res = []
			depth = 0
			ss = ''
			for e in expression:
				if depth == 0 and e == ',':
					res.append(ss)
					ss = ''
				else:
					if e == '(':
						depth += 1
					elif e == ')':
						depth -= 1
					ss += e
			res.append(ss)
			return res
		if expression == 't':
			return True
		if expression == 'f':
			return False
		if expression[0] == '!':
			return not self.parseBoolExpr(expression[2:-1])
		if expression[0] == '&':
			res = True
			for L in split_into_list(expression[2:-1]):
				res &= self.parseBoolExpr(L)
			return res
		if expression[0] == '|':
			res = False
			for L in split_into_list(expression[2:-1]):
				res |= self.parseBoolExpr(L)
			return res


class Solution:

	def parseBoolExpr(self, expression: str) -> bool:
		if len(expression) == 1:
			return expression == 't'
		op = expression[0]
		boolean_list = []
		level = 0
		start = 2
		for i in range(2, len(expression) - 1):
			ch = expression[i]
			if ch == '(':
				level += 1
			elif ch == ')':
				level -= 1
			elif ch == ',' and level == 0:
				boolean_list.append(self.parseBoolExpr(expression[start:i]))
				start = i + 1
			elif ch not in '&|!' and level == 0:
				boolean_list.append(True if ch == 't' else False)
		boolean_list.append(self.parseBoolExpr(expression[start:-1]))
		if op == '!':
			return not boolean_list[0]
		elif op == '&':
			return all(boolean_list)
		else:
			return any(boolean_list)


class Solution:

	def parseBoolExpr(self, expression: str) -> bool:
		stack = []
		for ch in expression:
			if ch == ',':
				continue
			if ch != ')':
				stack.append(ch)
			else:
				temp = ''
				while stack[-1] != '(':
					temp += stack.pop()
				stack.pop()
				if stack[-1] == '&':
					res = 't' if temp.count('f') == 0 else 'f'
				elif stack[-1] == '|':
					res = 'f' if temp.count('t') == 0 else 't'
				else:
					res = 't' if temp == 'f' else 'f'
				stack[-1] = res
		return True if stack[-1] == 't' else False


class Solution:

	def parseBoolExpr(self, expression: str) -> bool:

		def parse(e: str, left, right):
			if right - left == 1:
				return e[left] == 't'
			res = e[left] == '&'
			(level, start) = (0, left + 2)
			for i in range(left + 2, right):
				if level == 0 and e[i] in [',', ')']:
					cur = parse(e, start, i)
					start = i + 1
					if e[left] == '&':
						res &= cur
					elif e[left] == '|':
						res |= cur
					else:
						res = not cur
				if e[i] == '(':
					level = level + 1
				elif e[i] == ')':
					level = level - 1
			return res
		return parse(expression, 0, len(expression))


from functools import reduce

class Solution:

	def parseBoolExpr(self, expression: str) -> bool:
		operations = {'|': any, '&': all, '!': lambda x: not x[0]}

		def getTokens(expression):
			depth = 0
			token = ''
			for s in expression:
				if s == ',' and depth == 0:
					yield token
					token = ''
					continue
				if s == '(':
					depth += 1
				elif s == ')':
					depth -= 1
				token += s
			yield token

		def evaluate(expression):
			if expression == 't':
				return True
			elif expression == 'f':
				return False
			operator = operations[expression[0]]
			values = [evaluate(token) for token in getTokens(expression[2:-1])]
			return operator(values)
		return evaluate(expression)


class Solution:

	def parseBoolExpr1(self, expression: str) -> bool:

		def helper(queue):
			res = True
			while queue:
				c = queue.pop()
				print('c = {0}'.format(c))
				if c in {'t', 'f'}:
					return True if c == 't' else False
				if c == '!':
					queue.pop()
					res = not helper(queue)
					queue.pop()
					return res
				isAnd = True if c == '&' else False
				res = isAnd
				queue.pop()
				while True:
					if isAnd:
						res &= helper(queue)
					else:
						res |= helper(queue)
					print('isAnd = {0}, queue = {1}, res = {2}'.format(isAnd, queue, res))
					ch = queue.pop()
					print('after pop char, char = {0}, queue = {1}'.format(ch, queue))
					if ch == ')':
						break
			return res
		queue = collections.deque([])
		for c in expression:
			queue.appendleft(c)
		return helper(queue)

	def parseBoolExpr(self, expression: str) -> bool:

		def helper(exp, i, j):
			if i == j:
				return exp[i] == 't'
			op = exp[i]
			res = op == '&'
			(k, count, prev) = (i + 1, 0, i + 2)
			while k <= j:
				c = exp[k]
				if c == '(':
					count += 1
				elif c == ')':
					count -= 1
				if count == 1 and c == ',' or not count:
					val = helper(exp, prev, k - 1)
					prev = k + 1
					if op == '!':
						res = not val
					elif op == '&':
						res &= val
					elif op == '|':
						res |= val
				k += 1
			return res
		return helper(expression, 0, len(expression) - 1)


class Solution:

	def parseBoolExpr(self, expression: str) -> bool:
		ops = {'!', '&', '|'}

		def parse(start):
			if expression[start] == 'f':
				return (False, start + 1)
			if expression[start] == 't':
				return (True, start + 1)
			if expression[start] in ops:
				new_start = start + 2
				vals = set()
				while new_start < len(expression):
					(val, new_start) = parse(new_start)
					vals.add(val)
					if expression[new_start] == ')':
						new_start += 1
						break
					assert expression[new_start] == ','
					new_start += 1
				if expression[start] == '!':
					assert len(vals) == 1
					return (not list(vals)[0], new_start)
				if expression[start] == '&':
					return (all(vals), new_start)
				return (any(vals), new_start)
		return parse(0)[0]


import operator
from typing import List

class Solution:

	@staticmethod
	def split_by_comma(expression: str) -> List[str]:
		start = 0
		bracket_balance = 0
		answer = []
		for i in range(len(expression)):
			if expression[i] == '(':
				bracket_balance += 1
			if expression[i] == ')':
				bracket_balance -= 1
			if expression[i] == ',' and (not bracket_balance):
				answer.append(expression[start:i + 1])
				start = i + 1
		answer.append(expression[start:])
		return answer

	def parseBoolExpr(self, expression: str) -> bool:
		if expression.startswith('t'):
			return True
		if expression.startswith('f'):
			return False
		if expression.startswith('!'):
			return not self.parseBoolExpr(expression[2:-1])
		if expression.startswith('|'):
			return any(map(self.parseBoolExpr, self.split_by_comma(expression[2:-1])))
		else:
			return all(map(self.parseBoolExpr, self.split_by_comma(expression[2:-1])))


class Solution:

	def parseBoolExpr(self, expression: str) -> bool:
		stack = []
		for c in expression:
			if c not in [',', ')']:
				stack.append(True if c == 't' else False if c == 'f' else c)
			elif c == ')':
				seen = set()
				while stack[-1] != '(':
					seen.add(stack.pop())
				stack.pop()
				operator = stack.pop()
				stack.append(all(seen) if operator == '&' else any(seen) if operator == '|' else not seen.pop())
		return stack[-1]