LintCode 125 · Backpack II.java

Backpack with Value array:
function:
dp[i][j] = Math.max(dp[i - 1][j - A[i - 1]] + V[i - 1], dp[i - 1][j]); (when you take that ith item)
or
dp[i][j] += dp[i - 1][j]; (when you don't take that ith item)