Alex is solving a problem. He has $n$ constraints on what the integer $k$ can be. There are three types of constraints:

1. $k$ must be greater than or equal to some integer $x$;
2. $k$ must be less than or equal to some integer $x$;
3. $k$ must be not equal to some integer $x$.

Help Alex find the number of integers $k$ that satisfy all $n$ constraints. It is guaranteed that the answer is finite (there exists at least one constraint of type $1$ and at least one constraint of type $2$). Also, it is guaranteed that no two constraints are the exact same.

Input

Each test consists of multiple test cases. The first line contains a single integer $t$ ($1 \leq t \leq 500$) — the number of test cases. The description of the test cases follows.

The first line of each test case contains a single integer $n$ ($2 \leq n \leq 100$) — the number of constraints.

The following $n$ lines describe the constraints. Each line contains two integers $a$ and $x$ ($a \in \{1,2,3\}, \, 1 \leq x \leq 10^9$). $a$ denotes the type of constraint. If $a=1$, $k$ must be greater than or equal to $x$. If $a=2$, $k$ must be less than or equal to $x$. If $a=3$, $k$ must be not equal to $x$.

It is guaranteed that there is a finite amount of integers satisfying all $n$ constraints (there exists at least one constraint of type $1$ and at least one constraint of type $2$). It is also guaranteed that no two constraints are the exact same (in other words, all pairs $(a, x)$ are distinct).

Output

For each test case, output a single integer — the number of integers $k$ that satisfy all $n$ constraints.

Note

In the first test case, $k \geq 3$ and $k \leq 10$. Furthermore, $k \neq 1$ and $k \neq 5$. The possible integers $k$ that satisfy the constraints are $3,4,6,7,8,9,10$. So the answer is $7$.

In the second test case, $k \ge 5$ and $k \le 4$, which is impossible. So the answer is $0$.

Samples

6
4
1 3
2 10
3 1
3 5
2
1 5
2 4
10
3 6
3 7
1 2
1 7
3 100
3 44
2 100
2 98
1 3
3 99
6
1 5
2 10
1 9
2 2
3 2
3 9
5
1 1
2 2
3 1
3 2
3 3
6
1 10000
2 900000000
3 500000000
1 100000000
3 10000
3 900000001

7
0
90
0
0
800000000