Algorithmic Problem Solving and Optimization Questions

Cover medium to hard algorithmic problem solving patterns including graph traversal and shortest paths, dynamic programming, greedy strategies, and combinatorial optimization. Candidates should demonstrate structured problem solving under time constraints, produce correct and tested code, analyze time and space complexity, and then iterate to optimize algorithms or simplify solutions. Interviewers will evaluate correctness, clarity of thought, complexity reasoning, and the candidate's approach to incremental improvements.