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This can help you,
https://codeforces.me/blog/entry/65555?#comment-495656
Can you please explain the logic how to store dp[x][y].I am unable to understand the logic mentioned in the above link comment section.
You can apply the knapsack type DP approach to fill the table. The main logic For finding DP[x][i] you can take j = 1 to i values from current DP and take remaining (i-j) values from it's child DP and update current DP.