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Problem 170: Comment correction
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dynamic_programming_problems/0_1_knapsack_problem.cpp

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/*
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* 0-1 Knapsack Problem: Imagine you are a thief and you want to steal things with room full of things.
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* 0-1 Knapsack Problem: Imagine you are a thief and you want to steal things from room full of things.
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* You have a knapsack which can handle maximum capacity of weight W, and you want to fill it up such
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* that it's worth is maximum. Being an intelligent thief, you know weights and values of each item in room.
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* How would you fill your knapsack, such that you get the maximum possible value.
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* that it's worth is maximum. Being an intelligent thief, you know weights and values of each item in the room.
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* How would you fill your knapsack, such that you get the maximum possible value for your knapsack of capacity W.
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*
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* The problem essentially boils down to whether item i would be part of your loot or not.
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* This has optimal substructure:
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* Then the maximum value of the loot is determined by remaining n-1 items whose possible weight would be
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* W. (i.e excluding the ith item)
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*
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* We could get all subsets of possible items in your loot, and choose the one with maximum value.
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* We could get all subsets of possible items in the loot, and choose the one with maximum value.
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*
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* Since this problem will have overlapping subproblems, we could use dynamic programming to solve it.
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* So that we don't recurse to calculate the same subproblem which we have already calculated.
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std::cout << "Maximum possible loot value for capacity " << capacity
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<< ": " << maximum_possible_loot_value(weights, values, capacity) << std::endl;
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return 0;
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}
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}

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