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Suppose we are given a sequence of medical tests, conducted after giving a medicine and representing infection values v1, v2 . . . vn. To evaluate the effectiveness of the medicine, the doctor wants to detect a falling trend. A trend is a subsequence of values at time instances i1 < i2 < ... < ik. Devise an algorithm to find the longest positive falling trend, i. e. the longest sequence of values vi1 vi2 . . . vij such thatvir ≥vir+1 +1andir

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