# Problem F

Islands in the Data Stream

Given a sequence of integers $a_1, a_2, a_3, \ldots , a_ n$, an island in the sequence is a contiguous subsequence for which each element is greater than the elements immediately before and after the subsequence. In the examples below, each island in the sequence has a bracket below it. The bracket for an island contained within another island is below the bracket of the containing island.

Write a program that takes as input a sequence of $12$ non-negative integers and outputs the number of islands in the sequence.

## Input

The first line of input contains a single integer $P$, ($1 \le P \le 1000$), which is the number of data sets that follow. Each data set should be processed identically and independently.

Each data set consists of a single line of input. It contains the data set number, $K$, followed by $12$ non-negative integers separated by a single space. The first and last integers in the sequence will be 0.

## Output

For each data set there is one line of output. The single output line consists of the data set number, $K$, followed by a single space followed by the number of islands in the sequence.

Sample Input 1 | Sample Output 1 |
---|---|

4 1 0 0 1 1 2 2 1 1 0 1 2 0 2 0 1 2 4 3 1 3 4 5 2 1 0 3 0 1 2 4 4 1 0 2 4 1 0 0 4 0 1 2 3 4 5 6 7 8 9 10 0 |
1 4 2 8 3 6 4 10 |