Vawio Sequence is very funny，it is a sequence of integers. It has some interesting properties.

· Vawio is of odd length i.e. L = 2*n + 1.

· The first (n+1) integers of Vawio sequence makes a strictly increasing sequence.

· The last (n+1) integers of Vawio sequence makes a strictly decreasing sequence.

· No two adjacent integers are same in a Vawio sequence.

For example 1, 2, 3, 4, 5, 4, 3, 2, 0 is an Vawio sequence of length 9. But 1, 2, 3, 4, 5, 4, 3, 2, 2 is not a valid Vawio sequence. In this problem, you will be given a sequence of integers. You have to find out the length of the longest Vawio sequence which is a subsequence of the given sequence. Consider, the given sequence as :

1 2 3 2 1 2 3 4 3 2 1 5 4 1 2 3 2 2 1.

Here the longest Wavio sequence is : 1 2 3 4 5 4 3 2 1. So, the output will be 9.