http://lintcode.com/en/problem/backpack-ii/
public int backPackII(int m, int[] A, int V[]) {
// write your code here
// Brute force
// return help(m, A, V, 0, 0, 0);
int [][] max = new int [A.length + 1][m + 1];
for (int[] t : max)
Arrays.fill(t, -1);
for (int i = 0 ; i < A.length + 1 ; i ++)
max[i][0] = 0;
int toReturn = 0;
for (int i = 1 ; i < A.length + 1 ; i ++)
{
for (int j = 1 ; j < m + 1 ; j ++)
{
max[i][j] = -1;
max[i][j] = Math.max(max[i][j], max[i - 1][j]);
if (j - A[i - 1] >= 0 && max[i - 1][j - A[i - 1]] >= 0)
{
max[i][j] = Math.max(max[i][j], max[i - 1][j - A[i - 1]] + V[i - 1]);
}
toReturn = Math.max(toReturn, max[i][j]);
}
}
return toReturn;
}
