The solutions to this does not occur to me as "Dynamic Programming", yet this problem is grouped under algorithms/dynamic programming ?

Hi, when I start with sample input 1 [10,4,1,2,3,4,10,20,30,40,100,200] it should be chosen packets with index 2,3,4,5 and values 1,2,3,4 => unfairness sum is 10, but my code with the same input shows packets with index 1,3,4,5 and values 4,2,3,4 => sum 7. Еven if I accept the relative difference between the value of the packages=> for example to take packets with index 0,6,8,7 with values 10,10,30,20 => unfairness sum is 70 but relative ufairness sum is 7 is still below the test output in the problem Difference between each element is 10 times more than my first example with values 4,2,3,4 but relativly the difference between 4 elements is the same.

Where is the problem? Can I take the packeges with the same value?

O(n* log(n)), the actual algo takes O(n) time, but it requires packets to be sorted, which takes n*log(n)

long angryChildren(int k, vector<long> packets) {
    long L = 0, current = 0;
    vector<long> partialSum = {0};
    sort(packets.begin(), packets.end());
    for (int x : packets) partialSum.push_back(partialSum.back() + x);
    for (int i=1; i < k; i++) current = current + i * packets[i] - partialSum[i];
    L = current;
    for (int i=1; i <= packets.size()-k; i++) {
        current = current + (k-1) * (packets[i+k-1] + packets[i-1]) - 2 * (partialSum[i+k-1] - partialSum[i]);
        L = min(L, current);
    }
    return L;
}

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Here is my solution in java, javascript, python, C, C++, Csharp HackerRank Angry Children 2 Problem Solution