valid if each character in the string can be paired with another character in the string, where the pair belongs to the input list L. Furthermore, two pairs cannot cross each other. In other words, a pair most completely enclose another, or be completely separate. Design and implement an efficient dynamic programming solution to this problem.

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter15: Recursion
Section: Chapter Questions
Problem 6PE
icon
Related questions
Question

Given:

  • List L of pairs of characters
  • String S

Output: TRUE if S is a valid string, FALSE otherwise.

 

A string is considered valid if each character in the string can be paired with another character in the string, where the pair belongs to the input list L.

Furthermore, two pairs cannot cross each other. In other words, a pair most completely enclose another, or be completely separate.

Design and implement an efficient dynamic programming solution to this problem.

 

Examples:

Input L: (a b) (b c) (c d) (a a)

Input S: aaba

Output: True (pairs shown color-coded: aaba, “aa” fully encloses “ab”)

 

Input L: (a b) (b c) (c d) (a a)

Input S: abcaad

Output: True (pairs shown color-coded: abcaad, “ab” is separate from the other pairs)

 

Input L: (a b) (b c) (c d) (a a)

Input S: acbd

Output: False (acbd is not valid because the pairs cross each other.)

 

Input L: (a b) (b c) (c d) (a a)

Input S: aaac

Output: False

 

Could you please provide python implementation to this?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Topological Sort
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
C++ Programming: From Problem Analysis to Program…
C++ Programming: From Problem Analysis to Program…
Computer Science
ISBN:
9781337102087
Author:
D. S. Malik
Publisher:
Cengage Learning
C++ for Engineers and Scientists
C++ for Engineers and Scientists
Computer Science
ISBN:
9781133187844
Author:
Bronson, Gary J.
Publisher:
Course Technology Ptr