Palindrome Partitioning DP Minimum Cuts in DSA C - Cheat Sheet & Quick Revision

Recall & Review

beginner

What is the goal of the Palindrome Partitioning problem?

To split a string into the fewest possible parts so that each part is a palindrome.

intermediate

What does the DP array represent in Palindrome Partitioning Minimum Cuts?

It stores the minimum number of cuts needed to partition the substring from the start up to each index into palindromes.

intermediate

How do you check if a substring is a palindrome efficiently in DP?

Use a 2D boolean table where table[i][j] is true if substring from i to j is palindrome, built using smaller substrings results.

intermediate

Why do we add 1 to the minimum cuts when a palindrome is found in the substring?

Because cutting before the palindrome substring creates one more partition, so we add 1 to the cuts needed before that substring.

beginner

What is the base case for the minimum cuts DP array in Palindrome Partitioning?

If the substring from start to current index is a palindrome, minimum cuts is 0 because no cut is needed.

What does a minimum cut represent in Palindrome Partitioning?

A Number of cuts to split string into palindromes

B Length of the longest palindrome

C Number of palindromes in the string

D Total characters in the string

Minimum cuts are the fewest cuts needed to split the string into palindrome parts.

Which data structure helps to check palindrome substrings efficiently?

A Queue

B 2D boolean table

C Stack

D Linked list

A 2D boolean table stores palindrome status for all substrings.

If substring s[0..j] is palindrome, what is the minimum cut count at j?

A j

B 1

C 0

D j-1

No cuts needed if the whole substring is palindrome.

What is the time complexity of the DP solution for Palindrome Partitioning Minimum Cuts?

A O(log n)

B O(n)

C O(n^3)

D O(n^2)

Checking palindrome substrings and minimum cuts both take O(n^2) time.

When updating minimum cuts at index j, what do you add to the cuts at i-1?

A 1

B 0

C j

D i

Add 1 cut before the palindrome substring starting at i.

Explain how dynamic programming helps find the minimum cuts for palindrome partitioning.

Think about breaking the problem into smaller parts and reusing results.

Describe the steps to check if a substring is palindrome using DP.

Start from smallest substrings and build up.