LintCode 440 · Backpack III.java

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