The problem is dressed up as a video processing feature but it's really just a string partitioning problem.
First, clarify the problem by restating it and confirming constraints. Then, propose an algorithm that minimizes flips first and subsegment count second, likely using dynamic programming or greedy with parity considerations. Finally, analyze time and space complexity and discuss potential optimizations.
Pro tip: Demonstrate awareness of the trade-off between minimizing flips and minimizing subsegments, and explain how you prioritize them. Mention that you would test edge cases like all same characters or alternating patterns.
Restate the problem in your own words and ask clarifying questions about constraints, input size, and expected output format.
Focus on minimizing flips first. Consider that flips are needed to make subsegments uniform; determine the minimum flips required for any partition.
Among all partitions achieving minimum flips, find the one with the fewest even-length subsegments. Use DP or greedy with parity tracking.
Derive time and space complexity of your approach. Discuss if it meets typical interview constraints (e.g., O(n) or O(n^2)).
Walk through small examples, including edge cases, to verify correctness and demonstrate understanding.
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