C. Contrast Value
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

For an array of integers $[a_1, a_2, \dots, a_n]$, let's call the value $|a_1-a_2|+|a_2-a_3|+\cdots+|a_{n-1}-a_n|$ the contrast of the array. Note that the contrast of an array of size $1$ is equal to $0$.

You are given an array of integers $a$. Your task is to build an array of $b$ in such a way that all the following conditions are met:

• $b$ is not empty, i.e there is at least one element;
• $b$ is a subsequence of $a$, i.e $b$ can be produced by deleting some elements from $a$ (maybe zero);
• the contrast of $b$ is equal to the contrast of $a$.

What is the minimum possible size of the array $b$?

Input

The first line contains a single integer $t$ ($1 \le t \le 10^4$) — the number of test cases.

The first line of each test case contains a single integer $n$ ($1 \le n \le 3 \cdot 10^5$) — the size of the array $a$.

The second line contains $n$ integers $a_1, a_2, \cdot, a_n$ ($0 \le a_i \le 10^9$) — elements of the array itself.

The sum of $n$ over all test cases doesn't exceed $3 \cdot 10^5$.

Output

For each test case, print a single integer — the minimum possible size of the array $b$.

Example
Input
451 3 3 3 724 241 1 1 175 4 2 1 0 0 4
Output
2
2
1
3