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Face 'exactly K' constraints that add a dimension? Aliens Trick uses penalties to reduce complexity.
Covered with full walkthrough in this section.
Covered with full walkthrough in this section.
Understanding the trade-off
Covered with full walkthrough in this section.
Covered with full walkthrough in this section.
Classic WQS binary search problem. Binary search on penalty to eliminate exact-k constraint.
Double WQS binary search (Lagrangian relaxation twice). Advanced technique for two constraints.
WQS on string problem. Penalize character changes to binary search optimal k value.
Classic D&C + WQS combination. Demonstrates both optimization techniques together.
Line container with WQS insight. Advanced combination of CHT and lambda optimization.
Ratio-based selection. Understanding the penalty function helps grasp WQS intuition.
Foundation for understanding cost tradeoffs. Simpler version of penalty-based DP.
Greedy/DP hybrid. Understanding optimal selection helps grasp WQS penalty intuition.
Binary search on answer with greedy check. Conceptually similar to WQS binary search.