Maximize Power Values Sum
Reported by candidates from Google's online assessment. Pattern, common pitfall, and the honest play if you blank under the timer.
Google hit candidates with this one in March 2024, and the title alone tells you nothing. You're looking at an optimization problem where you need to find a subset or ordering that maximizes some power calculation. The trick is that 'power values' is usually code for exponentiation or weighted sums, and candidates blank because they try to brute force instead of spotting the greedy or DP structure. StealthCoder will feed you the pattern the moment you see the full problem text on screen.
Pattern and pitfall
Without the verbatim problem, the pattern is likely either greedy (pick elements in a specific order to maximize cumulative power) or dynamic programming (state on index and current sum, transition by including or excluding each element). The common trap is assuming you need to try all subsets. Most 'maximize power' problems at Google hinge on recognizing that power grows nonlinearly with your choices, so order matters. When you're live and it clicks, you'll see whether you're building up a bitmask DP, a greedy selection with sorting, or a prefix-sum trick. StealthCoder is your safety net if the connection doesn't land in the first 90 seconds.
Memorize the pattern. If you can't, run StealthCoder. The proctor sees the IDE. They don't see what's behind it.
You can drill Maximize Power Values Sum cold, or you can hedge it. StealthCoder runs invisibly during screen share and surfaces a working solution in under 2 seconds. The proctor sees the IDE. They don't see what's behind it. Made by an engineer who treats the OA as theater. If yours is tonight, you don't have time to grind. You have time to hedge.
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Google reuses patterns across OAs. Made by an engineer who treats the OA as theater. If yours is tonight, you don't have time to grind. You have time to hedge. Works on HackerRank, CodeSignal, CoderPad, and Karat.
Maximize Power Values Sum FAQ
Is this a brute force all-subsets problem?+
No. If it were, the input size would be tiny (n less than 20). Google doesn't ask O(2^n) on live OAs anymore. Look for greedy property (sorted order wins) or DP state reduction (current sum and index, two states).
What does 'power' usually mean in Google problems?+
Either element raised to some exponent, or cumulative multiplier (a^b, a*b^2, etc.). The 'maximize' part means you choose which elements and in what order. Read the examples first; they show the formula.
How do I solve this in 15 minutes if I see it for the first time?+
Trace the examples backward. Reverse-engineer the formula. Check if swapping two elements in the optimal solution breaks it (greedy test). If yes, greedy with a sort. If not, DP with memoization on (index, current_value).
Is this still being asked at Google in 2024?+
Yes. Optimization under nonlinear cost functions is a live pattern. Expect it in phone screens and assessments. The problem name changes; the structure stays the same.
Should I code a recursive solution first or jump to DP?+
Recursive with memoization. Write the brute recursion (try each element, include or skip), add a memo dict, and you're done. Don't overthink bottom-up DP unless you hit a wall.