【有根树】Rooted Trees C++
题目来源:Aizu - ALDS1_7_A
题目:
A graph G = (V, E) is a data structure where V is a finite set of vertices and E is a binary relation on V represented by a set of edges. Fig. 1 illustrates an example of a graph (or graphs).
Fig. 1
A free tree is a connnected, acyclic, undirected graph. A rooted tree is a free tree in which one of the vertices is distinguished from the others. A vertex of a rooted tree is called "node."
Your task is to write a program which reports the following information for each node u of a given rooted tree T:
- node ID of u
- parent of u
- depth of u
- node type (root, internal node or leaf)
- a list of chidlren of u
If the last edge on the path from the root r of a tree T to a node x is (p, x), then p is the parent of x, and x is a child of p. The root is the only node in T with no parent.
A node with no children is an external node or leaf. A nonleaf node is an internal node
The number of children of a node x in a rooted tree T is called the degree of x.
The length of the path from the root r to a node x is the depth of x in T.
Here, the given tree consists of n nodes and evey node has a unique ID from 0 to n-1.
Fig. 2 shows an example of rooted trees where ID of each node is indicated by a number in a circle (node). The example corresponds to the first sample input.
Fig. 2
Input
The first line of the input includes an integer n, the number of nodes of the tree.
In the next n lines, the information of each node u is given in the following format:
id k c1 c2 ... ck
where id is the node ID of u, k is the degree of u, c1 ... ck are node IDs of 1st, ... kth child of u. If the node does not have a child, the k is 0.
Output
Print the information of each node in the following format ordered by IDs:
node id: parent = p , depth = d, type, [c1...ck]
p is ID of its parent. If the node does not have a parent, print -1.
d is depth of the node.
type is a type of nodes represented by a string (root, internal node or leaf). If the root can be considered as a leaf or an internal node, print root.
c1...ck is the list of children as a ordered tree.
Please follow the format presented in a sample output below.
Constraints
- 1 ≤ n ≤ 100000
Sample Input 1
13 0 3 1 4 10 1 2 2 3 2 0 3 0 4 3 5 6 7 5 0 6 0 7 2 8 9 8 0 9 0 10 2 11 12 11 0 12 0
Sample Output 1
node 0: parent = -1, depth = 0, root, [1, 4, 10] node 1: parent = 0, depth = 1, internal node, [2, 3] node 2: parent = 1, depth = 2, leaf, [] node 3: parent = 1, depth = 2, leaf, [] node 4: parent = 0, depth = 1, internal node, [5, 6, 7] node 5: parent = 4, depth = 2, leaf, [] node 6: parent = 4, depth = 2, leaf, [] node 7: parent = 4, depth = 2, internal node, [8, 9] node 8: parent = 7, depth = 3, leaf, [] node 9: parent = 7, depth = 3, leaf, [] node 10: parent = 0, depth = 1, internal node, [11, 12] node 11: parent = 10, depth = 2, leaf, [] node 12: parent = 10, depth = 2, leaf, []
Sample Input 2
4 1 3 3 2 0 0 0 3 0 2 0
Sample Output 2
node 0: parent = 1, depth = 1, leaf, [] node 1: parent = -1, depth = 0, root, [3, 2, 0] node 2: parent = 1, depth = 1, leaf, [] node 3: parent = 1, depth = 1, leaf, []
Note
You can use a left-child, right-sibling representation to implement a tree which has the following data:
- the parent of u
- the leftmost child of u
- the immediate right sibling of u
Reference
Introduction to Algorithms, Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein. The MIT Press.
思路:
这题是挑战程序设计2里的,代码按照书上写了一遍。然后仔细梳理了一下还是挺容易的。
首先建立一个结构体,里面包含p,l,r。其中p是parent,表示某节点的父结点,也就是它上面的那个。l是left,表示每个结点下最左边的那个子结点,r是right,表示每个结点右边的同行结点。
先来看输入。输入时,当第一个数字是接下来的数字的父结点,第二个数字是它有几个子结点,后面的数字就都是第一个数字的子结点了,所以从第三个数字开始,把第三个数字记作第一个数字的l,后面的记作每一个的前一个的r,并且从第三个数字开始,都要把第一个数字记作他们的p。
然后找他们的层次还是很简单的,就递归然后记一下。
最后输出。
代码:
#include<iostream>
#include<cstring>
using namespace std;
#define MAX 100005
#define NIL -1struct Node{int p,l,r;}T[MAX];
int n,D[MAX];void print(int u)
{int i,c;cout<<"node "<<u<<": ";cout<<"parent = "<<T[u].p<<", ";cout<<"depth = "<<D[u]<<", ";if(T[u].p==NIL)cout<<"root, ";else if(T[u].l==NIL)cout<<"leaf, ";else cout<<"internal node, ";cout<<"[";for(i=0,c=T[u].l;c!=NIL;i++,c=T[c].r){if(i==0)cout<<c;else cout<<", "<<c;}cout<<"]"<<endl;
}int rec(int u,int p)
{D[u]=p;if(T[u].r!=NIL)rec(T[u].r,p);if(T[u].l!=NIL)rec(T[u].l,p+1);
}int main()
{int i,j,d,v,c,l,r;while(cin>>n){for(i=0;i<n;i++)T[i].p=T[i].l=T[i].r=NIL;for(i=0;i<n;i++){cin>>v>>d;for(j=0;j<d;j++){cin>>c;if(j==0)T[v].l=c;else T[l].r=c;l=c;T[c].p=v;}}for(i=0;i<n;i++){if(T[i].p==NIL)r=i;}rec(r,0);for(i=0;i<n;i++){print(i);}}return 0;
}
【有根树】Rooted Trees C++相关推荐
- HDU 1294 Rooted Trees Problem
题目大意:求有n个节点的树有几种? 题解:http://www.cnblogs.com/keam37/p/3639294.html #include <iostream> typedef ...
- leetcode310. Minimum Height Trees
题目 For an undirected graph with tree characteristics, we can choose any node as the root. The result ...
- 树的最小高度 Minimum Height Trees
2019独角兽企业重金招聘Python工程师标准>>> 问题: For a undirected graph with tree characteristics, we can ch ...
- 【ACM】树 小结
树是一种表达层级结构的数据结构,也是实现高效算法与数据结构的基础. 学习之前的基础:数组,循环处理,结构体,递归函数. 树:由结点(node)和连接结点的边(edge)构成. ...
- Codeforces 103B. Cthulhu 并查集运用
题目链接: 题面: ...Once upon a time a man came to the sea. The sea was stormy and dark. The man started to ...
- [leetcode] 题型整理之图论
图论的常见题目有两类,一类是求两点间最短距离,另一类是拓扑排序,两种写起来都很烦. 求最短路径: 127. Word Ladder Given two words (beginWord and end ...
- 杭电OJ分类题目(1)
原题出处:HDOJ Problem Index by Type,http://acm.hdu.edu.cn/typeclass.php 杭电OJ分类题目(1) HDU Introduction HDU ...
- Graph Visualization and Navigation in Information Visualization: A Survey 译文
图像可视化和信息可视化导航:文献综述 Ivan Herman, Member, IEEE Computer Society, Guy MelancËon, and M. Scott Marshall ...
- js+html 实现关系拓扑图
最近要做一个功能.需要用到关系拓扑图.做了一些调研.发现相关插件很多接下来做个分析 1.yWorks 德国人做的.支持jAjax,html ,php. 官网 https://www.yworks.co ...
最新文章
- 深度学习经典数据集汇总
- 包红b2c模块 flutter与原生交互
- 【Android 性能优化】布局渲染优化 ( 过渡绘制 | 背景设置产生的过度绘制 | Android 系统的渲染优化 | 自定义布局渲染优化 )
- C++ Primer 5th笔记(chap 14 重载运算和类型转换)函数调用运算符
- Angular中怎样通过localStorage实现数据持久化-实现存储搜索历史为例
- 大型Web2.0站点构建技术初探一
- byteman_使用Byteman和JUnit进行故障注入
- 快速排序和快速选择(quickSort and quickSelect)算法
- 二叉搜索树相关知识及应用操作
- linux 基础训练,Linux 基础训练习题
- 第八节:ES6为数组做了哪些扩展?
- 视觉SLAM十四讲学习笔记专栏汇总
- annotationprocessor 提示找不到类_StackOverflow上87万访问量的问题:什么是“找不到符号”?...
- png文件合并_程序员学习之在Python中使用PDF:阅读、旋转、合并和拆分
- linux下的man和info命令
- 终于得空,写两句了......
- my eclipse 连接数据库(详细步骤)
- android短信验证码方案,Android之短信验证码
- 招生啦!清华大学SIGS人工智能硕士项目2021年硕士研究生普通招考说明
- QQ邮箱获取和使用授权码