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 nn —— 树中顶点的数量(1≤n≤100001 \leq n \leq 10000)。顶点用 11 到 nn 的数字标记。接下来有 n−1n-1 行,每行通过两个以空格分隔的数字 aa 和 bb 描述一条边 —— 即该边所连接的两个顶点的标签(1≤a<b≤n1 \leq a < b \leq 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?

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