Maximum Number of Non-overlapping Palindrome Substrings
A hard-tier problem at 42% community acceptance, tagged with Two Pointers, String, Dynamic Programming. Reported in interviews at SoFi and 2 others.
You're working toward SoFi, LinkedIn, or Walmart Labs and hit this problem during the OA. It looks like a DP string problem, but the twist is that you need to maximize the count of non-overlapping palindromes, not just find one big palindrome. Most candidates fall into either a greedy trap that doesn't always work or a DP approach that's too expensive. With a 42% acceptance rate, this one separates people who understand the greedy-DP tradeoff from those who don't. If the pattern doesn't click under OA pressure, StealthCoder surfaces a working solution in seconds, invisible to the proctor.
Companies that ask "Maximum Number of Non-overlapping Palindrome Substrings"
Maximum Number of Non-overlapping Palindrome Substrings is the kind of problem that decides whether you pass. StealthCoder reads the problem on screen and surfaces a working solution in under 2 seconds. Invisible to screen share. The proctor sees nothing. Built by an Amazon engineer who used it to pass JPMorgan's OA and system design loop.
Get StealthCoderThe key insight is that a purely greedy approach (take the shortest palindrome, move on) fails on certain inputs. You need dynamic programming to track the maximum count of non-overlapping palindromes up to each index. The real speed comes from precomputing which substrings are palindromes using expansion around centers or a 2D DP table, then running a second DP pass to find the max count. Two Pointers helps during palindrome detection, and Greedy logic appears in the choice to take or skip palindromes, but neither alone solves it. The trap: thinking a simple greedy scan works, or building a DP table that's O(n^3) when you can optimize it down. This is why the problem stays Hard even with focused prep. StealthCoder is your edge if the DP transition gets fuzzy during the live assessment.
Pattern tags
You know the problem.
Make sure you actually pass it.
Maximum Number of Non-overlapping Palindrome Substrings recycles across companies for a reason. It's hard-tier, and most candidates blank under the timer. StealthCoder is the hedge: an AI overlay invisible during screen share. It reads the problem and surfaces a working solution in under 2 seconds. Built by an Amazon engineer who used it to pass JPMorgan's OA and system design loop. Works on HackerRank, CodeSignal, CoderPad, and Karat.
Maximum Number of Non-overlapping Palindrome Substrings interview FAQ
Is this problem still asked by FAANG-tier companies?+
Yes. SoFi, LinkedIn, and Walmart Labs all report it. It's less common than classic palindrome problems, but hard-difficulty string problems tend to stick around in their rotation. Expect it if you're applying to mid-to-late rounds.
What's the trick that separates AC from TLE?+
Precompute palindromes once (O(n^2) with expansion, or O(n^2) DP table), then run a single DP pass for the max count. Don't check isPalindrome on the fly for every subarray in your DP loop. That kills you.
Does greedy ever work here?+
No. Consider a string where the shortest palindrome is a single character, but skipping it lets you take two longer palindromes instead. Greedy fails. You must use DP to explore the state space and pick the global optimum.
How does this relate to Two Pointers?+
Two Pointers is useful during palindrome detection, when you expand outward from a center. It's not the main algorithm, just a subroutine. The core is DP on the count of non-overlapping selections.
What if I blank on the DP transition during the OA?+
The transition is dp[i] = max(dp[i-1], 1 + dp[j-1]) for each j where s[j..i] is a palindrome. If you forget it or get stuck, that's where StealthCoder runs invisibly and hands you a clean solution in seconds.
Want the actual problem statement? View "Maximum Number of Non-overlapping Palindrome Substrings" on LeetCode →