Valid Parentheses Removal

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App

Questions and Answers

What is the primary purpose of the removeInvalidParentheses function?

  • To reverse a string.
  • To add parentheses to a string.
  • To remove the minimum number of invalid parentheses to make the string valid. (correct)
  • To count the number of parentheses in a string.

The forward pass in the removeInvalidParentheses function is designed to remove extra opening parentheses.

False (B)

If the variable open is greater than 0 after the forward pass, what does this indicate about the string?

unmatched opening parentheses

In the backward pass, if a '(' is encountered and there are still unmatched ones to remove, the algorithm will _____ it.

<p>skip</p> Signup and view all the answers

Why is the reverse function used at the end of the removeInvalidParentheses function?

<p>To restore the original order of characters after the backward pass. (B)</p> Signup and view all the answers

If the input string s is already valid, the function removeInvalidParentheses will modify the string.

<p>False (B)</p> Signup and view all the answers

What data structure is used to build the corrected string in both the forward and backward passes?

<p>string</p> Signup and view all the answers

The open variable in the code functions as a _____ to track unmatched opening parentheses.

<p>counter</p> Signup and view all the answers

Which of the following best describes the algorithm's approach to handling characters that are not parentheses?

<p>They are added directly to the result. (A)</p> Signup and view all the answers

The backward pass always removes all opening parentheses from the string.

<p>False (B)</p> Signup and view all the answers

What condition must be met for a closing parenthesis to be added to the result during the forward pass?

<p>open &gt; 0</p> Signup and view all the answers

The algorithm processes the string twice, once from _____ to _____, and then in the _____. direction.

<p>left, right, reverse</p> Signup and view all the answers

What is the space complexity of the removeInvalidParentheses function, assuming the length of the input string is n?

<p>O(n) (D)</p> Signup and view all the answers

The primary goal of using two passes (forward and backward) is to optimize time complexity by reducing redundant checks.

<p>False (B)</p> Signup and view all the answers

Why doesn't the algorithm need to track lowercase letters during the forward and backward passes?

<p>they are always valid</p> Signup and view all the answers

The process of skipping extra '(' during the backward pass is crucial for ensuring that the resultant string contains only the _____ parentheses.

<p>valid</p> Signup and view all the answers

Match the pass with its primary function in the removeInvalidParentheses algorithm:

<p>Forward Pass = Handles extra closing parentheses. Backward Pass = Handles extra opening parentheses.</p> Signup and view all the answers

If an input string contains no parentheses, what will the removeInvalidParentheses function return?

<p>The original string. (B)</p> Signup and view all the answers

The removeInvalidParentheses function can handle multiple types of brackets, such as {} and [].

<p>False (B)</p> Signup and view all the answers

What happens to the open counter when an opening parenthesis '(' is encountered during the forward pass?

<p>it increments</p> Signup and view all the answers

Flashcards

removeInvalidParentheses Function

A function that removes the minimum number of invalid parentheses to make the input string valid.

open variable

Keeps track of unmatched opening parentheses during the forward pass.

result string

The string being built during the forward pass, containing valid characters and parentheses.

Forward Pass

Iterates through the input string, skipping extra closing parentheses.

Signup and view all the flashcards

Forward Pass Logic

Handles each character: adds '(' and other characters, and adds ')' only if there's a matching '('.

Signup and view all the flashcards

Backward Pass

Removes extra opening parentheses from the result string.

Signup and view all the flashcards

finalStr variable

Constructs the final valid string by skipping extra '(' from the intermediate result.

Signup and view all the flashcards

Reverse Operation

Reverses the final string to restore the original order after the backward pass.

Signup and view all the flashcards

open == 0

If there are no unmatched '(' after the forward pass, the initially formed string is valid.

Signup and view all the flashcards

Study Notes

  • The function removeInvalidParentheses removes the minimum number of invalid parentheses from a given string to make it valid.

Forward Pass

  • Iterates through the input string s character by character
  • If the character is an opening parenthesis '(', it's added to the result string, and the open counter increments
  • If the character is a closing parenthesis ')', it's added to the result only if open is greater than 0, which means there's a corresponding opening parenthesis. open is then decremented.
  • Other characters are directly added to result
  • This pass skips extra closing parentheses

Backward Pass

  • Executed only if open is not 0 after the forward pass, indicating there are unmatched '('
  • Traverses the result string in reverse
  • If an opening parenthesis '(' is encountered and there are still unmatched opening parentheses to remove (open > 0), it's skipped, and open is decremented.
  • Otherwise, the character is added to the finalStr
  • The finalStr is then reversed to maintain the original order of characters
  • This pass removes extra opening parentheses from the end

Return Value

  • If after the forward pass, open is 0, it means all parentheses are balanced, so the result is returned
  • Otherwise, the corrected finalStr is returned after the backward pass and reversal

Validity

  • The solution ensures the final string is valid by removing the minimum number of parentheses

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team
Use Quizgecko on...
Browser
Browser