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 n friends numbered from 1 to n. They will be arranged in a queue as follows: 1,2,3,…,n.
Hossam has a list of m 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 a and ending at the friend b is [a,a+1,a+2,…,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) there are (1≤a≤b≤n), such that the subsegment starting from the friend a and ending at the friend b 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 n 位朋友,编号从 1 到 n。他们将按如下顺序排成一列:1,2,3,…,n。
侯赛姆有一份包含 m 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 a 开始、到朋友 b 结束的队列子段定义为 [a,a+1,a+2,…,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≤n 的有序对 (a,b) 共有多少个,使得从朋友 a 开始、到朋友 b 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 t (1≤t≤2⋅104), the number of test cases. Description of the test cases follows.
The first line of each test case contains two integer numbers n and m (2≤n≤105, 0≤m≤105) representing the number of friends and the number of pairs, respectively.
The i-th of the next m lines contains two integers xi and yi (1≤xi,yi≤n, xi=yi) 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 n over all test cases does not exceed 105, and the sum of m over all test cases does not exceed 105.
输入包含多个测试用例。第一行包含一个整数 t(1≤t≤2⋅104),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 n 和 m(2≤n≤105,0≤m≤105),分别表示朋友的数量和互不认识的对数。
接下来的 m 行中,第 i 行包含两个整数 xi 和 yi(1≤xi,yi≤n,xi=yi),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 n 之和不超过 105,且所有测试用例的 m 之和不超过 105。
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 4.
The good subsegments are:
[1]
[2]
[3]
[1, 2]
In the second example, the answer is 5.
The good subsegments are:
[1]
[2]
[3]
[4]
[3, 4]
在第一个例子中,答案是 4。
这些好的子段为:
[1]
[2]
[3]
[1, 2]
在第二个例子中,答案是 5。
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?