The knapsack problem algorithm design and analysis. First, the optimal solution in the first row and first column of the matrix are assigned 0 then from top to bottom, computing m [i] [j] values ​ ​ from left to right, if the weight is greater than the i-th item j values, i.e., the i-th item is not put into the backpack, then m [i] [j] assigned to m [i-1] [j], otherwise, it is the i-th item is not put into the resultant bags and backpacks the maximum value finally calculate the optimal solution from the previous value of the vector, if m [i] [j] = m [i-1] [j], then the x [i] values ​ ​ 0, otherwise x [i] value of 1, the i-th and j minus the weight of the article.

Knapsack.java

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