digit-dp Interview Questions

Reported as a Hudson River Trading interview question, this mathematical coding task requires counting integers below a given threshold whose base-4 representation consists exclusively of restricted digits. Due to large input limits, brute-force enumeration will fail, necessitating a sophisticated digit-counting or combinatorics approach. This problem examines mathematical reasoning and efficient constraint handling. The full problem statement and optimal solution require a subscription.

As a classic algorithmic challenge often featured by Amazon, this problem focuses on computing the cumulative frequency of a specific digit across a continuous integer sequence up to a given upper bound. The exercise examines your ability to move beyond slow iterative checks and instead derive a mathematical pattern based on digit positions and place values. Developing an efficient logarithmic time solution is key to passing this evaluation. To view the complete problem breakdown and optimal solution code, a subscription is required.

Encountered in a BNY Mellon interview, this problem revolves around a lottery system where participants hold numbered coupons and winners are determined by matching digit sums. You are tasked with finding the specific digital sum that maximizes the number of winning participants, as well as calculating how many alternative sums can achieve that exact maximum tie. The challenge tests your mathematical reasoning, digit manipulation, and frequency counting across a numerical range. Unlock the full prompt and complete model solution by purchasing a subscription.