Generate Parentheses
Explore how to generate all valid combinations of balanced parentheses for a given number using subset problem-solving strategies. This lesson helps you understand the logical process behind forming balanced parentheses and guides you through implementing your solution in C++. By the end, you'll be able to apply these techniques to solve similar subset, permutation, and combination problems.
We'll cover the following...
Statement
For a given number, n, generate all combinations of balanced parentheses.
Constraints:
-
n
Examples
Understand the problem
Let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:
Generate Parentheses
Which is a valid combination of balanced parentheses when n = 2?
()()
(())
((()
(())
))((
()()
()()
(())
Figure it out!
We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.
Try it yourself
Implement your solution in main.cpp in the following coding playground. We have provided a useful code template in the other file, that you may build on to solve this problem.
vector<string> GenerateCombinations(int n){// Replace this placeholder return statement with your codereturn {};}