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We are well into the 21st century and school children are taught dynamic programming in class 4. The IOI training camp has degenerated into an endless sequence of tests, with negative mamp, each student is evaluated based on the sum of the best contiguous segment (i.e., no gaps) of marks in the overall sequence of tests. Students, however, have not changed much over the years and they have asked for some relaxation in the evaluation procedure. As a concession, the camp coordinators have agreed that students are allowed to drop upto a certain number of tests when calculating their best segment. For instance, suppose that Lavanya is a student at the training camp and there have been ten tests, in which her marks are as follows. Test 1 2 3 4 5 6 7 8 9 10 Marks 6 -5 3 -7 6 -1 10 -8 -8 8
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