Longest Increasing Subsequence DP

The Longest Increasing Subsequence DP technique is applied when tackling problems characterized by specific invariants in the problem state or constraints:

• Core Strategy: DP (optionally with binary search) tracking the best increasing subsequence length ending at each index.
• When to use: Look for opportunities where repeated re-computation can be replaced by maintaining monotonic properties, state windows, or relational pointers.
• Interview Signal: Demonstrating this pattern shows mastery of Dynamic Programming foundations, reducing worst-case algorithmic complexity.