Sum of all subarray maximums

Правка en3, от tmpuser-001, 2015-12-02 14:34:59

I want to compute sum of maximum of all sub arrays in O(n)

till now i came up with an O(n^2) algo.

for better explanation of the problem, I want to reduce the complexity of this one liner.

print sum(max(arr[i:j]) for i, j in combinations(xrange(len(arr)), 2))


also assume that the array may contain equal elements.

Sample Test:
Input:
5
1 2 1 1 2
Output:
16


PS: sorry for this duplicate post, when i'm editing the problem statement, i clicked discard button thinking that it will discard the edits but it deleted the entire post.

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Rev. Язык Кто Когда Δ Комментарий
en3 tmpuser-001 2015-12-02 14:34:59 122
en2 tmpuser-001 2015-12-02 14:32:26 4
en1 tmpuser-001 2015-12-02 14:31:45 505 Initial revision (published)