def get_min_changes_helper(string: str, modifications: int, stack: Stack,
current: str) -> Tuple[int, str]:
if not string and stack.is_empty():
return modifications, current
elif not string:
additions = len(stack)
return modifications + additions, current + (")" * additions)
if string[0] == "(":
stack_added = deepcopy(stack)
stack_added.push("(")
modifications1, string1 = get_min_changes_helper(
string[1:], modifications, stack_added,
current + "(") # adding to stack
modifications2, string2 = get_min_changes_helper(
string[1:], modifications + 1, stack,
current) # removing from string
return min(
[(modifications1, string1), (modifications2, string2)],
key=lambda tup: tup[0],
)
if not stack.is_empty():
stack.pop()
return get_min_changes_helper(string[1:], modifications, stack,
current + ")")
return get_min_changes_helper(string[1:], modifications + 1, stack,
current)
class Queue:
def __init__(self) -> None:
self.stack1 = Stack()
self.stack2 = Stack()
def __str__(self) -> str:
return str(self.stack2[::-1] + self.stack1[::])
def enqueue(self, val: int) -> None:
self._transfer_to_stack1()
self.stack1.push(val)
def dequeue(self) -> int:
self._transfer_to_stack2()
if len(self.stack2) == 0:
raise RuntimeError("Cannot dequeue from a empty queue")
return self.stack2.pop()
def _transfer_to_stack2(self) -> None:
# helper function to transfer all items to the stack 1 from stack 2
while not self.stack1.is_empty():
self.stack2.push(self.stack1.pop())
def _transfer_to_stack1(self) -> None:
# helper function to transfer all items to the stack 2 from stack 1
while not self.stack2.is_empty():
self.stack1.push(self.stack1.pop())
class Quack:
def __init__(self) -> None:
self.stack_1 = Stack()
self.stack_2 = Stack()
self.stack_3 = Stack()
self.elements = 0
def __len__(self) -> int:
return self.elements
def push(self, x: int) -> None:
self.stack_1.push(x)
self.stack_2.push(x)
self.elements += 1
def pop(self) -> int:
if self.elements == 0:
raise RuntimeWarning("Quack underflow")
if len(self.stack_2) == 0:
while not self.stack_3.is_empty():
self.stack_2.push(self.stack_3.pop())
self.elements -= 1
self.stack_2.pop()
return self.stack_1.pop()
def pull(self) -> int:
if self.elements == 0:
raise RuntimeWarning("Quack underflow")
if len(self.stack_3) == 0:
while not self.stack_2.is_empty():
self.stack_3.push(self.stack_2.pop())
self.elements -= 1
return self.stack_3.pop()
def par_checker(symbol_string):
def matches(open, close):
opens = "([{"
closes = ")]}"
return opens.index(open) == closes.index(close)
s = Stack()
balanced = True
index = 0
while index < len(symbol_string) and balanced:
symbol = symbol_string[index]
if symbol in "([{":
s.push(symbol)
else:
if s.is_empty():
balanced = False
else:
top = s.pop()
if not matches(top, symbol):
balanced = False
index = index + 1
if balanced and s.is_empty():
return True
else:
return False
class MaxStack:
def __init__(self) -> None:
self.stack = Stack()
self.maximum = Stack()
def __repr__(self) -> str:
return f"Stack: {self.stack}\nMax Stack: {self.maximum}"
def push(self, val: int) -> None:
self.stack.push(val)
# if the current value is larger than the previous maxima, its index is added
# to the maximum stack
if self.maximum.is_empty() or self.stack[self.maximum.peek()] < val:
self.maximum.push(len(self.stack) - 1)
def pop(self) -> int:
if self.stack.is_empty():
raise RuntimeError("Cannot pop from a empty stack")
# if the index of the current element to be removed is in the maximum stack,
# its removed as well
if len(self.stack) == self.maximum.peek() + 1:
self.maximum.pop()
return self.stack.pop()
def max(self) -> int:
if self.stack.is_empty():
raise RuntimeError("Cannot get max of a empty stack")
# the maximum is accessed from the last poistion stored in maximum stack
return self.stack[self.maximum.peek()]
def convert_infix_to_postfix(infix_expression):
operator_dictionary = {"+":2, "-":2, "/":3, "*":3, "(":1}
operator_stack = Stack()
postfix_list = []
index = 0
while index < len(infix_expression):
token = infix_expression[index];
if token in "ABCDEFGHIJKLMNOPQRSTUVWXYZ" or \
token in "0123456789":
postfix_list.append(token)
elif token == '(':
operator_stack.push('(')
elif token == ")":
top_token = operator_stack.pop()
while top_token != "(":
postfix_list.append(top_token)
top_token = operator_stack.pop()
else:
while not operator_stack.is_empty() and \
operator_dictionary[operator_stack.peek()] >= operator_dictionary[token]:
postfix_list.append(operator_stack.pop())
operator_stack.push(token)
index += 1
#return postfix expression
while not operator_stack.is_empty():
postfix_list.append(operator_stack.pop())
return "".join(postfix_list)
def get_view_sunset(arr: List[int]) -> int:
# the buildings can view the sunset when the elements are chosen in-order, keeping
# only the ones that allow decending order selection
stack = Stack()
for elem in arr:
if not stack.is_empty():
last = stack.peek()
while not stack.is_empty() and last < elem:
stack.pop()
last = maxsize
if not stack.is_empty():
last = stack.peek()
if stack.is_empty() or stack.peek() > elem:
stack.push(elem)
return len(stack)
def get_transformation(arrangement: List[str]) -> List[str]:
stack = Stack()
for qux in arrangement:
if stack.is_empty() or stack.peek() == qux:
stack.push(qux)
else:
qux_last = stack.pop()
while True:
# backpropagating in case the previous quxes needs to be updated
qux = generate_new_qux(qux_last, qux)
if stack.is_empty() or stack.peek() == qux:
break
qux_last = stack.pop()
stack.push(qux)
return stack
def generate_tree_helper(i: int, arr: List[BinaryTree],
nodes: int) -> BinaryTree:
tree = arr[i]
stack = Stack()
stack.push(tree.root)
while not stack.is_empty():
# generating the new tree with 1 new node
node = stack.pop()
if not node.left:
node.left = Node(0)
for j in range(nodes):
if j != i and tree == arr[j]:
node.left = None
break
else:
return tree
else:
stack.push(node.left)
if not node.right:
node.right = Node(0)
for j in range(nodes):
if j != i and tree == arr[j]:
node.right = None
break
else:
return tree
else:
stack.push(node.right)
def testingLoopingScenario():
m = Stack()
m.push("x")
m.push("y")
m.push("z")
while not m.is_empty():
m.pop()
m.pop()
def can_balance_parentheses(string: str, stack: Stack = Stack()) -> bool:
if not string and stack.is_empty():
return True
elif not string:
return False
# checking if the parentheses can be balanced
if string[0] == "(":
stack.push("(")
return can_balance_parentheses(string[1:], stack)
elif string[0] == ")":
if not stack.is_empty() and stack.peek() == "(":
stack.pop()
return can_balance_parentheses(string[1:], stack)
return False
elif string[0] == "*":
return (can_balance_parentheses("(" + string[1:], deepcopy(stack))
or can_balance_parentheses(")" + string[1:], deepcopy(stack))
or can_balance_parentheses(string[1:], deepcopy(stack)))
def is_parenthesis_balanced(
string: str,
parenthesis_map: Dict[str, str] = {
"{": "}",
"[": "]",
"(": ")"
}) -> bool:
open_parenthesis_set = set(parenthesis_map.keys())
stack = Stack()
# iterating through the string and checking if its balanced
for char in string:
if char in open_parenthesis_set:
stack.push(char)
elif not stack.is_empty() and parenthesis_map[stack.peek()] == char:
stack.pop()
else:
return False
# the string is balanced only if the stack is empty (equal number of opening and
# closing parenthesis)
return stack.is_empty()
def par_checker(symbol_string):
s = Stack()
balanced = True
index = 0
while index < len(symbol_string) and balanced:
symbol = symbol_string[index]
if symbol == "(":
s.push(symbol)
else:
if s.is_empty():
balanced = False
else:
s.pop()
index = index + 1
if balanced and s.is_empty():
return True
else:
return False
def parantheses_checker_rewrite(symbol_string):
isBalanced = True
stack = Stack()
open_chars = "({["
def is_a_match(open_char, close_char):
open_chars = "({["
close_chars = ")}]"
if open_chars.index(open_char) == close_chars.index(close_char):
return True
else:
return False
#enumerate the string
for char in symbol_string:
if char in open_chars:
stack.push(char)
else:
#check if stack is is_empty
if stack.is_empty():
isBalanced = False
else:
poppedVal = stack.pop()
if is_a_match(poppedVal, char):
#match
pass
else:
isBalanced = False
print(isBalanced)
print(stack.items)
if isBalanced and stack.is_empty():
return True
else:
return False
def is_paranthesis_balanced(symbol_string):
s = Stack()
index = 0
balanced = True
length = len(symbol_string)
while index < length and balanced:
symbol = symbol_string[index]
if symbol in "({[":
s.push(symbol)
else:
if s.is_empty():
balanced = False
else:
start = s.pop()
if not StackAlgorithms.matches(start, symbol):
balanced = False
index += 1
if s.is_empty() and balanced:
return True
else:
return False
def max_area_histogram(histogram: List[int]):
stack = Stack()
max_area = 0
index = 0
while index < len(histogram):
if stack.is_empty() or histogram[stack.peek()] <= histogram[index]:
stack.push(index)
index += 1
else:
# if the current bar is lower than top of stack, the area of rectangle
# needs to be calculated with the stack top as the smallest (or minimum
# height) bar.
top_of_stack = stack.pop()
area = histogram[top_of_stack] * (
(index - stack.peek() - 1) if not stack.is_empty() else index)
max_area = max(max_area, area)
# calculating the area formed by the indices still in the stack
while not stack.is_empty():
top_of_stack = stack.pop()
area = histogram[top_of_stack] * (
(index - stack.peek() - 1) if not stack.is_empty() else index)
max_area = max(max_area, area)
return max_area
def testingMyApproach(string_to_test):
open_braces = '({['
stack = Stack()
for index in range(0, len(string_to_test)):
char = string_to_test[index]
if char in open_braces:
stack.push(char)
else:
top = stack.pop()
if not BalancingALotOfSymbols.matches(top, char):
stack.push(top)
print(stack.is_empty())
def testingMyApproach():
open_brace = '('
close_brace = ")"
stack = Stack()
string_to_test = "((()))"
for index in range(0, len(string_to_test)):
char = string_to_test[index]
if char == open_brace:
stack.push(char)
print("push")
print(stack.items)
if char == close_brace:
stack.pop()
print("pop")
print(stack.items)
print(stack.is_empty())
def sort_stack(stack):
""" I think this is bubble sort
Space: O(1)
Time: O(n^2?)
:param s1: Stack Class
:return: Stack Class sorted
"""
def swap(stack1, stack2):
"""swaps the first elements of two stacks"""
temp = stack1.pop()
stack1.push(stack2.pop())
stack2.push(temp)
buffer = Stack()
not_sorted = True
count = 0
while not_sorted:
while not stack.is_empty():
s1, s2 = stack.peek(), buffer.peek()
if s2 is not None and s1 < s2:
swap(buffer, stack)
buffer.push(stack.pop())
not_sorted = False
last = None
while not buffer.is_empty():
a = buffer.pop()
stack.push(a)
if last is not None and last < a:
not_sorted = True
last = a
count += 1
return stack
def dq_divide_by_base(base , element):
"""
Summary
-------------
Convert the give number (element) to
a number in the specified Base (base)
if none specified, Binary is assumed
Logic
-----
Perform divide_by_2 algorithm extended to use
for all bases
store reminders in a Stack
enumerate the Stack
use each element in the stack as an index to a digit set
corresponding to each base
convert all elemnts in te stack to the corresponding elements in the
digit set
Parameters
----------
arg1 : base
base.
Member of "Base" enum class
specifies what base needs to be used
BINARY.HEX.OCT are supported
arg2 : element
element.
Memeber of "int" class
number to be converted
Returns
-------
str
number in desired base
"""
binary_digit_set = [0,1,2,3,4,5,6,7,8,9]
hex_digit_set = [0,1,2,3,4,5,6,7,8,9,"A","B","C","D","E","F"]
oct_digit_set = [0,1,2,3,4,5,6,7]
divisor = 0
#find the appropriate divisor to perform divide_by_base algorithm
if base == Base.BINARY:
divisor = Base.BINARY.value
if base == Base.HEX:
divisor = Base.HEX.value
if base == Base.OCTA:
divisor = Base.OCTA.value
reminder_stack = Stack()
reminder = 0
quotient = element
#divide_by_base algorithm
while quotient > 0:
reminder = quotient % divisor
quotient = quotient // divisor
#push reminder to stack
reminder_stack.push(reminder)
print(reminder_stack.items)
number_string = ""
#convert number to string
#substitude characters from digit_sets
while not reminder_stack.is_empty():
digit = ""
final_reminder = reminder_stack.pop()
if base == Base.BINARY:
digit = str(binary_digit_set[final_reminder])
if base == Base.HEX:
digit = hex_digit_set[final_reminder]
if digit is str:
digit = str(digit)
if base == Base.OCTA:
digit = str(oct_digit_set[final_reminder])
number_string = number_string + digit
return number_string
def dq_infix_to_prefix_two_stacks_method(infix_expr):
#precedence table
prec = {}
prec["*"] = 3
prec["/"] = 3
prec["+"] = 2
prec["-"] = 2
prec[")"] = 1
alaphabet_tokens = \
"ABCDEFGHIJKLMNOPQRSTUVWXYZ"
numeral_tokens = \
"0123456789"
#stack to hold operators
op_stack = Stack()
#list to hold operands
#and final result
prefix_stack = Stack()
#split the expression
tokens_list = \
infix_expr.split()
#print("tokens_list %s" %(tokens_list))
# evaluate the expression
# we start evaluating left to right
# 1. reverse the list
tokens_list_reversed = \
tokens_list[::-1]
#expression enumration begin
for token in tokens_list_reversed:
#2. case ")"
# since we start from the end of the expression
# we consider "(" to be end of the grouping
if token is ")":
op_stack.push(token)
#3.case operand
elif token in alaphabet_tokens or \
token in numeral_tokens:
prefix_stack.push(token)
#4. case "("
elif token is "(":
# marks the end of expression or
# closing of a grouping ()
# move all operators till "(" to output
top_operator = \
op_stack.pop()
while not top_operator is ")":
prefix_stack.push(top_operator)
top_operator = \
op_stack.pop()
else:
#ie. for +,*,-./
# compare with all ops in the op_stack
# find out if there is any operator with higher precedence
# if yes add all of them to output
# push to op_stack
while not op_stack.is_empty() and \
prec[op_stack.peek()] >= prec[token]:
#move them to output
operator = \
op_stack.pop()
prefix_stack.push(operator)
#if op_stack is empty
#push the operator to op_stack
op_stack.push(token)
#expression enumration complete
#move the remaining items
while not op_stack.is_empty():
operator = \
op_stack.pop()
prefix_stack.push(operator)
#join the string
joined_string = ""
while not prefix_stack.is_empty():
string = prefix_stack.pop()
joined_string+= " " + string
#return " ".join(prefix_stack.items[::-1])
return joined_string
def infix_to_postfix(infix_expr):
#precedence table
prec = {}
prec["*"] = 3
prec["/"] = 3
prec["+"] = 2
prec["-"] = 2
prec["("] = 1
alaphabet_tokens = \
"ABCDEFGHIJKLMNOPQRSTUVWXYZ"
numeral_tokens = \
"0123456789"
#stack to hold operators
op_stack = Stack()
#list to hold operands
#and final result
postfix_list = []
#split the expression
tokens_list = \
infix_expr.split()
#evaluate the expression
"""
#1 match alphabet or numeral tokes and add them to
"""
#enumerate the expression
for token in tokens_list:
#look for a matching alphabet or numeral token
if token in alaphabet_tokens or \
token in numeral_tokens :
#if matches add it to postfix_list
postfix_list.append(token)
#look for matching "("
#push it to operand stack
elif token == "(":
op_stack.push(token)
#look for closing braces )
elif token == ")":
"""
#1 closing - means end of scope
#2 so we need to pop the stack
#3 utill we get the corresponding open "("
#4 add all the appended operators to the output
"""
top_token = op_stack.pop()
while top_token != "(":
postfix_list.append(top_token)
top_token = op_stack.pop()
#for all other symbols
else:
#ie. for +,*,-./
# compare with all ops in the op_stack
# find out if there is any operator with higher precedence
# if yes add all of them to output
# push to op_stack
while not op_stack.is_empty():
#get operator
oper = op_stack.peek()
#get precedence
oper_prec = prec[oper]
#get precedence of current token
token_prec = prec[token]
#compare
if oper_prec >= token_prec:
#pop it
oper = op_stack.pop()
#add to output
postfix_list.append(oper)
#if op_stack is empty
#push the operator to op_stack
op_stack.push(token)
#expression enumration complete
#loop through opstack
while not op_stack.is_empty():
#add them to output
postfix_list.append(op_stack.pop())
#join the string
return " ".join(postfix_list)
def infix_to_postfix1(infix_expr):
#precedence table
prec = {}
prec["*"] = 3
prec["/"] = 3
prec["+"] = 2
prec["-"] = 2
prec["("] = 1
alaphabet_tokens = \
"ABCDEFGHIJKLMNOPQRSTUVWXYZ"
numeral_tokens = \
"0123456789"
#stack to hold operators
op_stack = Stack()
#list to hold operands
#and final result
postfix_list = []
#split the expression
tokens_list = \
infix_expr.split()
#enumerate
for token in tokens_list:
#check if token in alpabet or numeral_tokens
if token in alaphabet_tokens or token in numeral_tokens:
#push to postfix_list
postfix_list.append(token)
#check for open braces "("
#this is a operator
elif token == "(":
#add to op_stack
op_stack.push(token)
#check for closing braces ")"
elif token == ")":
"""
1. this is also an operator
2. indicating end of an expression
3. Logic to make an infix postfix is to move the operator to where the closing bracket is
4. this takes into account operator precedence
5. (A + B) * C for eg in postfix is AB+C*
6. A + (B * C) is ABC*+
"""
#get operator
op_from_stack = op_stack.pop()
#pop the stack untill we get an open braces
#which indicates beginning of the expression
while not op_from_stack == "(":
#append to the answer
postfix_list.append(op_from_stack)
#pop to continue while loop
op_from_stack = op_from_stack.pop()
#operator found (+,-,/,*)
else:
#push to op stack if it is empty
if op_stack.is_empty():
op_stack.push(token)
else:
#loop
while op_stack.is_empty():
#precedence comparison
#if "token" precedence >= precedence of element in
#stack
# pop the stack and appane it to the output
#
if prec[token] >= prec[op_stack.peek()]:
postfix_list.append(op_stack.pop())
#enumeration done
#empty the op_stack
# as we only emptied the ops with lesser precedence
while not op_stack.is_empty():
postfix_list.append(op_stack.pop())
#make the String
return " ".join(postfix_list)
