Maximize Score After N Operations
A hard-tier problem at 58% community acceptance, tagged with Array, Math, Dynamic Programming. Reported in interviews at Sprinklr and 0 others.
Maximize Score After N Operations is a hard problem that's been asked at Sprinklr and sits at 58% acceptance, meaning half the engineers who attempt it don't nail the submission. The trick isn't obvious because it plays with multiple dimensions at once: you're picking pairs from an array, computing GCDs, and scoring points based on operation count. The naive greedy approach fails. You need to recognize that the state space explodes unless you use bitmask DP to track which elements you've already paired. If this lands in your live OA and you haven't rehearsed the bitmask indexing pattern, you'll burn time flailing. StealthCoder surfaces the working solution in seconds, invisible to the proctor.
Companies that ask "Maximize Score After N Operations"
Maximize Score After N Operations 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. Made by an Amazon engineer who watched the leaked-problem repo become an industry secret. He decided you should have it too.
Get StealthCoderThe problem forces you to realize that order matters: the score for a pair depends on which operation you pair them in (operation 1 gives 1x the GCD, operation 2 gives 2x, etc.). This rules out sorting and greedy heuristics. You're actually exploring a search tree of all possible pairing sequences. The standard approach is backtracking with memoization, but the key insight is encoding which elements have been used as a bitmask rather than a set or tuple. Each unique bitmask state maps to a unique subset of paired elements, and you cache the maximum score reachable from that state. The pitfall most candidates hit is forgetting to multiply the GCD by the operation number, or overthinking the state representation and timing out. If you're confident in bitmask DP and number theory (GCD), this becomes mechanical. StealthCoder is the hedge if you freeze on the state design during your assessment.
Pattern tags
You know the problem.
Make sure you actually pass it.
Maximize Score After N Operations 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. Made by an Amazon engineer who watched the leaked-problem repo become an industry secret. He decided you should have it too. Works on HackerRank, CodeSignal, CoderPad, and Karat.
Maximize Score After N Operations interview FAQ
Why doesn't a greedy approach work here?+
Because the score for each pair is weighted by operation number. Pairing the highest GCD early locks in a low multiplier, while pairing it late gives a higher score. You can't decide locally. You must explore all pairing orders via backtracking and memoization.
Is this really a hard problem or do people just overthink it?+
It's genuinely hard. The 58% acceptance rate confirms it's not a blind spot problem. Most struggle because they miss that operation order matters, or they implement backtracking without the bitmask optimization and it times out.
What's the key insight I'm missing if I'm stuck?+
The state isn't 'which elements I've paired'. It's 'which elements I've consumed', encoded as a bitmask integer. Memoization key is the bitmask. Recurse by choosing two unpaired indices, compute GCD times operation count, recurse deeper.
How does bit manipulation actually help here?+
A bitmask lets you represent any subset of n elements as a single integer from 0 to 2^n-1. Checking if index i is used is O(1). Marking it used is O(1). Dictionary lookup with the bitmask as key is O(1). Without it, you're slower and harder to debug.
Is this problem still asked, or was it a Sprinklr one-off?+
It's reported from Sprinklr with one company source. That doesn't mean it's rare, just that public disclosure is sparse. The pattern (backtracking, bitmask DP, number theory) is canonical for hard rounds. Treat it as a strong possibility.
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