Range Product Queries of Powers
A medium-tier problem at 42% community acceptance, tagged with Array, Bit Manipulation, Prefix Sum. Reported in interviews at Goldman Sachs and 1 others.
Range Product Queries of Powers sits at the intersection of bit manipulation and prefix sums, and it's asked by Goldman Sachs and IBM. The problem asks you to compute products of array elements over ranges, but the twist is that elements themselves are powers, and you're trying to avoid overflow or brute-force recalculation. It's a 41% acceptance rate problem, which means most candidates nail the obvious approach and then hit a wall when the naive multiplication gets too slow or the numbers explode. If this hits your live OA and you blank on how to optimize past a basic loop, StealthCoder solves it invisibly in seconds.
Companies that ask "Range Product Queries of Powers"
Range Product Queries of Powers 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 trap is thinking you need to actually multiply the numbers. You don't. Since the elements are powers, you can work with exponents using addition instead of multiplication on the bases. The pattern: precompute prefix sums of exponents, then answer each query in O(1) by subtracting prefix values and reconstructing the power. The common failure is either attempting direct multiplication (TLE or overflow on large ranges) or missing that bit manipulation here means treating the exponent layer as a bitwise problem, not the base. A smaller subset of submissions also fail to handle edge cases like zero exponents or composite bases. If you see this during an assessment and the straightforward multiplication times out, the prefix-exponent trick is the move. StealthCoder will show you the exact implementation when you need it.
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Range Product Queries of Powers recycles across companies for a reason. It's medium-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.
Range Product Queries of Powers interview FAQ
What makes this different from a basic range-sum problem?+
Instead of summing values, you're multiplying them, and overflow becomes real. The key insight is converting multiplication into addition by working with exponents. Once you shift to the exponent layer, prefix sums work exactly as you'd expect, and you dodge the overflow and TLE completely.
Why is the acceptance rate only 41%?+
Most candidates implement the O(n*q) brute-force multiplication loop. It passes small test cases but fails on large ranges or tight time limits. The 41% who pass recognize the exponent-addition trick and implement a prefix-sum structure. The jump from brute force to optimized is steeper than it looks.
Is this actually asked at Goldman Sachs and IBM?+
Yes. Both have reported this problem in their assessments. It's a strong signal they care about candidates who can spot mathematical simplifications and optimize away brute-force approaches. It's a filter for systems thinking.
How does bit manipulation actually come into play here?+
Bit manipulation appears in how you represent and manipulate the exponents themselves, or in handling the structure of powers (e.g., checking if a number is a power of another base). It's not heavy bit-twiddling, but it flags candidates who think in layers: data transformation before the algorithm.
What's the fastest way to prep this if I'm short on time?+
Understand the exponent-sum trick first. Code a prefix-sum prefix sum solution for exponents, then practice range-query reconstruction. If you hit this live and blank, StealthCoder will surface a clean working solution in real time, invisible to the proctor. That's your safety net.
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