Graph Theory HDU
来源:互联网 发布:什么是网络电视机 编辑:程序博客网 时间:2024/06/05 05:23
Little Q loves playing with different kinds of graphs very much. One day he thought about an interesting category of graphs called ``Cool Graph'', which are generated in the following way:
Let the set of vertices be {1, 2, 3, ..., nn}. You have to consider every vertice from left to right (i.e. from vertice 2 to nn). At vertice ii, you must make one of the following two decisions:
(1) Add edges between this vertex and all the previous vertices (i.e. from vertex 1 to i−1i−1).
(2) Not add any edge between this vertex and any of the previous vertices.
In the mathematical discipline of graph theory, a matching in a graph is a set of edges without common vertices. A perfect matching is a matching that each vertice is covered by an edge in the set.
Now Little Q is interested in checking whether a ''Cool Graph'' has perfect matching. Please write a program to help him.
Input
The first line of the input contains an integer T(1≤T≤50)T(1≤T≤50), denoting the number of test cases.
In each test case, there is an integer n(2≤n≤100000)n(2≤n≤100000) in the first line, denoting the number of vertices of the graph.
The following line contains n−1n−1 integers a2,a3,...,an(1≤ai≤2)a2,a3,...,an(1≤ai≤2), denoting the decision on each vertice.
Output
For each test case, output a string in the first line. If the graph has perfect matching, output ''Yes'', otherwise output ''No''.
Sample Input
3
2
1
2
2
4
1 1 2
Sample Output
Yes
No
Let the set of vertices be {1, 2, 3, ..., nn}. You have to consider every vertice from left to right (i.e. from vertice 2 to nn). At vertice ii, you must make one of the following two decisions:
(1) Add edges between this vertex and all the previous vertices (i.e. from vertex 1 to i−1i−1).
(2) Not add any edge between this vertex and any of the previous vertices.
In the mathematical discipline of graph theory, a matching in a graph is a set of edges without common vertices. A perfect matching is a matching that each vertice is covered by an edge in the set.
Now Little Q is interested in checking whether a ''Cool Graph'' has perfect matching. Please write a program to help him.
Input
The first line of the input contains an integer T(1≤T≤50)T(1≤T≤50), denoting the number of test cases.
In each test case, there is an integer n(2≤n≤100000)n(2≤n≤100000) in the first line, denoting the number of vertices of the graph.
The following line contains n−1n−1 integers a2,a3,...,an(1≤ai≤2)a2,a3,...,an(1≤ai≤2), denoting the decision on each vertice.
Output
For each test case, output a string in the first line. If the graph has perfect matching, output ''Yes'', otherwise output ''No''.
Sample Input
3
2
1
2
2
4
1 1 2
Sample Output
Yes
No
No
题意:输入N组数据,每组数据输入一个n,接下来输入n-1个数,如果输入的是1,证明它可以和前面的任意一个节点相连,如果输入的是2,则不能和前面的节点相连。
判断能不能构成完美匹配。
完美匹配:如果一个图的某个匹配中,所有的顶点都是匹配点,那么它就是一个完美匹配。
#include<stdio.h>int main(){ int t; scanf("%d",&t); while(t--) { int sum=0; int n,res[100010]; scanf("%d",&n); for(int i=1; i<n; i++) scanf("%d",&res[i]); for(int i=1; i<n; i++) { if(i>sum && res[i]==1) sum+=2; } if(!(n%2) && sum==n) printf("Yes\n"); else printf("No\n"); } return 0;}//res[i]=2表示的是和前面的节点不相交,但是可以和后面res[i]=1的节点相交
阅读全文
0 0
- HDU 6029 Graph Theory
- HDU 6029 Graph Theory
- HDU 6029 Graph Theory
- HDU 6029 Graph Theory
- hdu 6029 Graph Theory
- HDU 6029 Graph Theory
- Graph Theory HDU
- HDU 6029 Graph Theory【水题】
- hdu 6029 Graph Theory(贪心)
- hdu 6029 Graph Theory 思维
- hdu 6029 Graph Theory 【直接连线】
- HDU 6029 Graph Theory(思路题)
- Graph Theory
- Graph Theory
- Graph Theory
- 2017CCPC女生赛 hdu 6029 Graph Theory
- (HDU 6029 女生专场)Graph Theory 思维题
- HDU---6029 Graph Theory 【二分图匹配思想相关运用】
- 按照Doxygen工具规范给程序添加注释
- pygame游戏之旅6:制作障碍
- Codeforces883F-Lost in Transliteration
- java集合框架
- 华盛顿大学机器学习基础:案例研究week2
- Graph Theory HDU
- 264. Ugly Number II
- Phaser API 总结
- 多线程之Executors工厂类创建线程
- 647. Palindromic Substrings(回文子字符串)
- python中的矩阵运算
- Filter(第二节)
- 数据库的基础概念知识
- LAMP部署(php-fpm模式)