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Divide array into K segments with max sum (N,K <= 2e5)
I haven't been able to solve this problem for a long time (10 months), so I would greatly appreciate anyone can solve it or can provide hints.
For $$$ N, K \le 2*10^3 $$$ subtask we can use a straightforward DP, but I have no idea for DP optimization or Greedy algorithm for $$$ N, K \le 2*10^5 $$$ full task.
Examples:
6 2
2 -1 3 -4 -2 6
Answer: segments [1, 3] and [6, 6] with sum 10
