hello codeforces!
Today I thought of this variation of the knapsack problem and I couldn't find a solution.
We have $$$n$$$ items ($$$n$$$ is up to $$$10^{6}$$$). There are $$$sz_i$$$ copies of the $$$i_{th}$$$ item.
$$$\sum sz_i$$$ won't exceed $$$10^6$$$
We can pick more than one copy of each item, if we decided to pick $$$j$$$ copies of the $$$i_{th}$$$ item our score increases by $$$value[i][j]$$$
Our goal is to pick $$$k$$$ ($$$k$$$ is up to $$$10^6$$$) copies in total in a way that will maximize our score.
This sounds very standard to me, what is the solution for that?