Palindromic Partitioning
Explore how to minimize cuts in a string to create all palindromic substrings by applying dynamic programming strategies. Understand both naive and optimized recursive, top-down, and bottom-up approaches, and learn to implement solutions that efficiently handle palindromic partitioning problems.
Statement
Suppose you are given a string, s. You need to perform the minimum number of cuts to divide the string into substrings, such that all the resulting substrings are palindromes.
Let’s say you have the following string:
- “apple”
The resulting substrings after performing the minimum number of cuts are:
- “a”“pp”“l”“e”
So, a minimum of cuts are required.
Constraints:
-
s.length sconsists of only lowercase English characters.
Examples
No. | s | cuts |
1 | "sleek" | 3 |
2 | "adjacent" | 7 |
3 | "radar" | 0 |
Try it yourself
Implement your solution in the following coding playground.
function minCuts(s) {// Write your code herereturn -1;}export { minCuts };
Note: If you clicked the “Submit” button and the code timed out, this means that your solution needs to be optimized in terms of running time.
Hint: Use dynamic programming and see the magic. ...