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You've compared sequences with LCS. Now solve problems where the answer depends on breaking ranges apart.
Perfect intro to interval DP - merge adjacent elements pattern.
Adds game theory - think from opponent's perspective.
Dividing ranges
Palindrome removal with interval merging when endpoints match.
Classic - think backwards, consider each balloon as LAST to burst.
3D DP with K-pile constraint - teaches when problems are impossible.
Covered with full walkthrough in this section.
Covered with full walkthrough in this section.
Color balanced brackets with constraints. Interval DP on bracket structures.
Count palindromic substrings in ranges. Precompute with interval DP, answer queries O(1).
Build BST where adjacent nodes share common factor. Interval DP with number theory twist.
Classic interval DP - order cuts to minimize total cost. Direct MCM variant.
Maximize points removing consecutive boxes. 3D interval DP with extra state.
Count ways to paint strip with interval constraints. Classic interval DP counting.
Sum of equal pair weights in subarrays. Contribution technique with DP.
Minimize sum of max-min in prefixes. Interval DP on sorted array.
Minimize array by merging equal adjacent pairs. Interval DP with value tracking.
Make array zero with XOR operations. Interval-style parity analysis.
Select non-overlapping intervals to maximize score - segment tree optimized interval DP.
