Country A and B are at war. Country A needs to organize transport teams to deliver supplies toward some command center cities.

In order to ensure the delivery works efficiently, all the roads in country A work only one direction. Therefore, map of country A can be regarded as DAG( Directed Acyclic Graph ). Command center cities only received supplies and not send out supplies.

Intelligence agency of country B is credibly informed that there will be two cities carrying out a critical transporting task in country A.

As long as **any** one of the two cities can not reach a command center city, the mission fails and country B will hold an enormous advantage. Therefore, country B plans to destroy one of the $n$ cities in country A and all the roads directly connected. (If a city carrying out the task is also a command center city, it is possible to destroy the city to make the mission fail)

Now country B has made $q$ hypotheses about the two cities carrying out the critical task.
Calculate the number of plan that makes the mission of country A fail.

The first line contains a integer $T$ $(1 \leq T \leq 10)$, denoting the number of test cases.

In each test case, the first line are two integers $n, m$, denoting the number of cities and roads$(1\leq n\leq 100,000, 1\leq m\leq 200,000)$.
Then $m$ lines follow, each with two integers $u$ and $v$, which means there is a directed road from city $u$ to $v$ $(1\leq u, v\leq n, u \neq v)$.

The next line is a integer q, denoting the number of queries $(1\leq q\leq 100,000)$
And then $q$ lines follow, each with two integers $a$ and $b$, which means the two cities carrying out the critical task are $a$ and $b$ $(1\leq a, b\leq n, a \neq b)$.

A city is a command center if and only if there is no road from it (its out degree is zero).

For each query output a line with one integer, means the number of plan that makes the mission of country A fail.