##### ###### ##### ### # # ### # # ###### ## ## ## ## ## ## ## # # # # # ## ##### #### ##### # # # # # # # #### ## # ## ## ## ## # # # # # ## ## # ###### ## ### # ### # ######
##### ###### ##### ### # # ### # # ###### ## ## ## ## ## ## ## # # # # # ## ##### #### ##### # # # # # # # #### ## # ## ## ## ## # # # # # ## ## # ###### ## ### # ### # ######
Value-based DP trace
Let's trace value-based Knapsack with items and capacity . The DP is = minimum weight to achieve value . Start with , all others . After item 1 (): . After item 2 (): , . After item 3 (w): , , , .
Answer: the maximum where is (weight ). We took items 2 and 3.
