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lintcode backpack

Given n items with size A[i], an integer m denotes the size of a backpack. How full you can fill this backpack? 

注意

You can not divide any item into small pieces.

样例

If we have 4 items with size [2, 3, 5, 7], the backpack size is 11, we can select 2, 3 and 5, so that the max size we can fill this backpack is 10. If the backpack size is 12. we can select [2, 3, 7] so that we can fulfill the backpack.

You function should return the max size we can fill in the given backpack.

解法:

背包问题。

f(j)=max(f(j=wi)+vi, f(j))

public class Solution {    /**     * @param m: An integer m denotes the size of a backpack     * @param A: Given n items with size A[i]     * @return: The maximum size     */    public int backPack(int m, int[] A) {        // write your code here        int[] result=new int[m+1];	        for(int i=0;i<A.length;i++){	        	for(int j=m;j>=A[i];j--){	        		result[j]=Math.max(result[j-A[i]]+A[i], result[j]);	        	}	        }	        return result[m];    }}

  

lintcode backpack