Concepts4
βοΈAlgorithmIntermediate
Proof Techniques for Greedy Algorithms
Greedy algorithm correctness is usually proved with patterns like exchange argument, stays-ahead, structural arguments, cut-and-paste, and contradiction.
#greedy algorithms#exchange argument#stays ahead+12
βοΈAlgorithmAdvanced
Aliens Trick (WQS Binary Search)
Aliens Trick (WQS Binary Search) converts a hard βexactly k itemsβ optimization into an unconstrained problem by adding a penalty Ξ» per chosen item.
#aliens trick#wqs binary search#parametric search+11
βοΈAlgorithmIntermediate
Greedy - Exchange Argument
The exchange argument proves a greedy algorithm is optimal by swapping out-of-order choices in any supposed optimal solution until it matches the greedy one without making it worse.
#greedy#exchange argument#pairwise swap+12
βοΈAlgorithmIntermediate
Greedy Algorithms
Greedy algorithms build a solution step by step by always taking the best local choice available.
#greedy algorithms#activity selection#interval scheduling+12