You have a string, and your task is to find the minimum number of cuts required to make all substrings palindromes. Use Java Language.

Answered: You have an String and your task is to…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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You have a string, and your task is to find the minimum number of cuts required to make all substrings palindromes.

Use Java Language.

Expert Solution

Step 1

Required:

You have an String and your task is to find the minimum number of cuts that is required to make overall substring Palindrome.
Use Java Language.

Approach:

Take the String from the user using the scanner class object and then follow the below steps.

Algorithm:

Firstly make a boolean 2D array that stores whether that substring is Palindrome or not. We are making this because we can get the palindrome status in O(1) time. (USE GAP TRAVERSAL).
Make Another DP array(2D) that stores that till that substring how many cuts are needed to make that substring palindrome .
For this Again use the gap traversal strategy,
if the gap is 0 then 0 cuts needed
else if the gap is 1 then check both characters are equal then 0 cuts are required else 1 cut is needed.
else if check whether the current substring is palindrome or not using the above 2D boolean array, if palindrome then 0 else use the MCM Technique to find the min cuts.
In the last print the right corner of the 2D DP which gives us minimum cuts and print it on the console.

for further help, please see the code below with the output.

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