CF690F1.Tree of Life (easy)
普及-
通过率:0%
时间限制:2.00s
内存限制:256MB
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题目描述
Heidi has finally found the mythical Tree of Life – a legendary combinatorial structure which is said to contain a prophecy crucially needed to defeat the undead armies.
On the surface, the Tree of Life is just a regular undirected tree well-known from computer science. This means that it is a collection of n points (called vertices), some of which are connected using n - 1 line segments (edges) so that each pair of vertices is connected by a path (a sequence of one or more edges).
To decipher the prophecy, Heidi needs to perform a number of steps. The first is counting the number of lifelines in the tree – these are paths of length 2, i.e., consisting of two edges. Help her!
海蒂终于找到了传说中的生命之树——一种著名的组合结构,据说其中蕴含着击败亡灵大军所必需的关键预言。
表面上看,生命之树只是一棵普通的无向树,这在计算机科学中早已广为人知。也就是说,它是由 $ n $ 个点(称为顶点)构成的集合,其中部分顶点通过 $ n-1 $ 条线段(边)相互连接,使得任意两个顶点之间都存在一条路径(即由一条或多条边组成的序列)。
为破译预言,海蒂需要执行若干步骤。第一步是统计树中“生命线”的数量——所谓生命线,是指长度为 2 的路径,即恰好由两条边组成的路径。请帮她完成这一任务!
输入格式
The first line of the input contains a single integer n – the number of vertices in the tree (1 ≤ n ≤ 10000). The vertices are labeled with the numbers from 1 to n. Then n - 1 lines follow, each describing one edge using two space-separated numbers a b – the labels of the vertices connected by the edge (1 ≤ a < b ≤ n). It is guaranteed that the input represents a tree.
输入的第一行包含一个整数 n —— 树中顶点的数量(1≤n≤10000)。顶点用 1 到 n 的数字标记。接下来有 n−1 行,每行通过两个以空格分隔的数字 a 和 b 描述一条边 —— 即该边所连接的两个顶点的标签(1≤a<b≤n)。保证输入数据表示一棵树。
输出格式
Print one integer – the number of lifelines in the tree.
输出一个整数——树中生命线的数量。
输入输出样例
输入#1
4 1 2 1 3 1 4
输出#1
3
输入#2
5 1 2 2 3 3 4 3 5
输出#2
4
说明/提示
In the second sample, there are four lifelines: paths between vertices 1 and 3, 2 and 4, 2 and 5, and 4 and 5.
在第二个样例中,共有四条生命线:顶点 1 与 3、2 与 4、2 与 5、以及 4 与 5 之间的路径。
输入解题思路,AI测评打分。不知道怎么写?