You are given an undirected graph with n vertices. There are no edge-simple cycles with the even length in it. In other words, there are no cycles of even length that pass each edge at most once. Let's enumerate vertices from 1 to n.

You have to answer q queries. Each query is described by a segment of vertices [l; r], and you have to count the number of its subsegments [x; y] (l ≤ x ≤ y ≤ r), such that if we delete all vertices except the segment of vertices [x; y] (including x and y) and edges between them, the resulting graph is bipartite.

Input

The first line contains two integers n and m (1 ≤ n ≤ 3·10⁵, 1 ≤ m ≤ 3·10⁵) — the number of vertices and the number of edges in the graph.

The next m lines describe edges in the graph. The i-th of these lines contains two integers a_i and b_i (1 ≤ a_i, b_i ≤ n; a_i ≠ b_i), denoting an edge between vertices a_i and b_i. It is guaranteed that this graph does not contain edge-simple cycles of even length.

The next line contains a single integer q (1 ≤ q ≤ 3·10⁵) — the number of queries.

The next q lines contain queries. The i-th of these lines contains two integers l_i and r_i (1 ≤ l_i ≤ r_i ≤ n) — the query parameters.

Output

Print q numbers, each in new line: the i-th of them should be the number of subsegments [x; y] (l_i ≤ x ≤ y ≤ r_i), such that the graph that only includes vertices from segment [x; y] and edges between them is bipartite.

Note

The first example is shown on the picture below:

$\text{[math]}$

For the first query, all subsegments of [1; 3], except this segment itself, are suitable.

For the first query, all subsegments of [4; 6], except this segment itself, are suitable.

For the third query, all subsegments of [1; 6] are suitable, except [1; 3], [1; 4], [1; 5], [1; 6], [2; 6], [3; 6], [4; 6].

The second example is shown on the picture below:

$\text{[math]}$

Bipartite Segments

Examples