Integer Break
A medium-tier problem at 61% community acceptance, tagged with Math, Dynamic Programming. Reported in interviews at Accenture and 0 others.
Integer Break is a deceptive problem. You see a number and think greedy, but the optimal solution isn't obvious from the surface. It's asked by Accenture and has a 61% acceptance rate, which means a decent chunk of candidates either time out or submit a suboptimal answer. The trick is recognizing that the maximum product comes from breaking a number into specific factors, not from the greedy instinct most people follow. If you hit this live and freeze on the pattern, StealthCoder surfaces the working solution in seconds, invisible to the proctor.
Companies that ask "Integer Break"
Integer Break 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 a working FAANG engineer who treats the OA the way companies treat hiring: as a game with rules you should know.
Get StealthCoderThe problem asks: given an integer n, break it into positive integers such that their product is maximized. The trap is thinking you should always break it into 2s or that the greedy approach works. It doesn't. The real insight is math-based: you want to break n into as many 3s as possible, with a small adjustment for remainders. If n is divisible by 3, use all 3s. If n % 3 == 1, use (n/3 - 1) threes and two 2s. If n % 3 == 2, use (n/3) threes and one 2. Dynamic Programming also works but is slower. Most candidates either derive the math formula or use DP. The formula is faster. StealthCoder handles both paths, so even if you're unsure which direction to go, you get a working solution instantly.
Pattern tags
You know the problem.
Make sure you actually pass it.
Integer Break 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. Made by a working FAANG engineer who treats the OA the way companies treat hiring: as a game with rules you should know. Works on HackerRank, CodeSignal, CoderPad, and Karat.
Integer Break interview FAQ
Is Integer Break really asked at the interview level, or just online assessments?+
Accenture has reported it. It's a medium-difficulty problem appearing in online assessments and take-home coding rounds. It's not a common FAANG problem but does show up in broader tech hiring. Expect it in algorithmic screening.
What's the actual trick to Integer Break that most candidates miss?+
The trick is recognizing that 3 is the optimal factor. Breaking n into 3s (with adjustments for remainder) always yields the maximum product. Greedy approaches fail. The math formula is faster than DP, but both work. The insight requires either mathematical derivation or having seen the pattern before.
Can I solve Integer Break with pure Dynamic Programming without the math insight?+
Yes. DP works: dp[i] = max product for integer i. For each i, try breaking it into j and i-j, and recurse. It's O(n^2) and slower than the O(1) math formula, but it passes. If you're stuck on the formula, DP is your fallback during the OA.
How does Integer Break relate to the other topics listed?+
Both Math and Dynamic Programming are valid approaches. The math topic refers to the formula insight (why 3 is optimal). DP is the brute-force correct path. Understanding both deepens your toolkit for optimization problems where greedy fails and you need to find hidden structure.
Is a 61% acceptance rate considered high for medium difficulty?+
It's middling. For medium, you'd expect 50-70% typically. 61% suggests the problem has a clear solution path once you see it, but the initial pattern isn't obvious to everyone. About 4 in 10 candidates either timeout or submit wrong. That's where preparation, or a safety net like StealthCoder, makes the difference.
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