Given n items with size A[i], an integer m denotes the size of a backpack. How full you can fill this backpack?
You can not divide any item into small pieces.
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];
}
}
原文：http://www.cnblogs.com/lilyfindjobs/p/4223061.html