CF1771B.Hossam and Friends

普及/提高-

通过率:0%

时间限制:2.00s

内存限制:256MB

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题目描述

Hossam makes a big party, and he will invite his friends to the party.

He has nn friends numbered from 11 to nn. They will be arranged in a queue as follows: 1,2,3,…,n1, 2, 3, \ldots, n.

Hossam has a list of mm pairs of his friends that don't know each other. Any pair not present in this list are friends.

A subsegment of the queue starting from the friend aa and ending at the friend bb is [a,a+1,a+2,…,b][a, a + 1, a + 2, \ldots, b]. A subsegment of the queue is called good when all pairs of that segment are friends.

Hossam wants to know how many pairs (a,b)(a, b) there are (1≤a≤b≤n1 \le a \le b \le n), such that the subsegment starting from the friend aa and ending at the friend bb is good.

侯赛姆举办了一场盛大的派对,他将邀请自己的朋友们参加。

他共有 nn 位朋友,编号从 11 到 nn。他们将按如下顺序排成一列:1,2,3,…,n1, 2, 3, \ldots, n。

侯赛姆有一份包含 mm 对互不认识的朋友的列表。不在该列表中的任意一对朋友彼此都认识。

从朋友 aa 开始、到朋友 bb 结束的队列子段定义为 [a,a+1,a+2,…,b][a, a + 1, a + 2, \ldots, b]。若该子段中所有朋友对彼此都认识,则称该子段为“好子段”。

侯赛姆想知道,满足 1≤a≤b≤n1 \le a \le b \le n 的有序对 (a,b)(a, b) 共有多少个,使得从朋友 aa 开始、到朋友 bb 结束的子段是好子段。

输入格式

The input consists of multiple test cases. The first line contains a single integer tt (1≤t≤2⋅1041 \le t \le 2 \cdot 10^4), the number of test cases. Description of the test cases follows.

The first line of each test case contains two integer numbers nn and mm (2≤n≤1052 \le n \le 10^5, 0≤m≤1050 \le m \le 10^5) representing the number of friends and the number of pairs, respectively.

The ii-th of the next mm lines contains two integers xix_i and yiy_i (1≤xi,yi≤n1 \le x_i, y_i\le n, xi≠yix_i \neq y_i) representing a pair of Hossam's friends that don't know each other.

Note that pairs can be repeated.

It is guaranteed that the sum of nn over all test cases does not exceed 10510^5, and the sum of mm over all test cases does not exceed 10510^5.

输入包含多个测试用例。第一行包含一个整数 tt(1≤t≤2⋅1041 \le t \le 2 \cdot 10^4),表示测试用例的数量。随后是各测试用例的描述。

每个测试用例的第一行包含两个整数 nn 和 mm(2≤n≤1052 \le n \le 10^5,0≤m≤1050 \le m \le 10^5),分别表示朋友的数量和互不认识的对数。

接下来的 mm 行中,第 ii 行包含两个整数 xix_i 和 yiy_i(1≤xi,yi≤n1 \le x_i, y_i \le n,xi≠yix_i \neq y_i),表示 Hossam 的一对互不认识的朋友。

注意:这些对可能重复出现。

保证所有测试用例的 nn 之和不超过 10510^5,且所有测试用例的 mm 之和不超过 10510^5。

输出格式

For each test case print an integer — the number of good subsegments.

对于每个测试用例,输出一个整数——表示“好”子段的数量。

输入输出样例

  • 输入#1

    2
    3 2
    1 3
    2 3
    4 2
    1 2
    2 3

    输出#1

    4
    5

说明/提示

In the first example, the answer is 44.

The good subsegments are:

[1]

[2]

[3]

[1, 2]

In the second example, the answer is 55.

The good subsegments are:

[1]

[2]

[3]

[4]

[3, 4]

在第一个例子中,答案是 44。

这些好的子段为:

[1]

[2]

[3]

[1, 2]

在第二个例子中,答案是 55。

这些好的子段为:

[1]

[2]

[3]

[4]

[3, 4]

输入解题思路,AI测评打分。不知道怎么写?

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