UP & DOWN SEQUENCES

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In a given sequence of N integers [a1,a2,....,a n ], all the elements in a strictly increasing order to the left of the maximum value of the input sequence are said to be the "up part", and those in a strictly descending order to the right of the maximum value, are said to be the "down part". Subsequences consisting of both the parts are called "UP & DOWN sequences". Note that the maximum value m

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