图(最小生成树) MST 3

2024-05-24 19:38
文章标签 最小 生成 mst

本文主要是介绍图(最小生成树) MST 3,希望对大家解决编程问题提供一定的参考价值,需要的开发者们随着小编来一起学习吧!

/*
题目1154:Jungle Roads
题目描述:
   
    The Head Elder of the tropical island of Lagrishan has a problem. A burst of foreign aid money was spent on extra roads between villages some years ago. But the jungle overtakes roads relentlessly, so the large road network is too expensive to maintain. The Council of Elders must choose to stop maintaining some roads. The map above on the left shows all the roads in use now and the cost in aacms per month to maintain them. Of course there needs to be some way to get between all the villages on maintained roads, even if the route is not as short as before. The Chief Elder would like to tell the Council of Elders what would be the smallest amount they could spend in aacms per month to maintain roads that would connect all the villages. The villages are labeled A through I in the maps above. The map on the right shows the roads that could be maintained most cheaply, for 216 aacms per month. Your task is to write a program that will solve such problems.
输入:
    The input consists of one to 100 data sets, followed by a final line containing only 0. Each data set starts with a line containing only a number n, which is the number of villages, 1 < n < 27, and the villages are labeled with the first n letters of the alphabet, capitalized. Each data set is completed with n-1 lines that start with village labels in alphabetical order. There is no line for the last village. Each line for a village starts with the village label followed by a number, k, of roads from this village to villages with labels later in the alphabet. If k is greater than 0, the line continues with data for each of the k roads. The data for each road is the village label for the other end of the road followed by the monthly maintenance cost in aacms for the road. Maintenance costs will be positive integers less than 100. All data fields in the row are separated by single blanks. The road network will always allow travel between all the villages. The network will never have more than 75 roads. No village will have more than 15 roads going to other villages (before or after in the alphabet). In the sample input below, the first data set goes with the map above.
输出:
    The output is one integer per line for each data set: the minimum cost in aacms per month to maintain a road system that connect all the villages. Caution: A brute force solution that examines every possible set of roads will not finish within the one minute time limit.
样例输入:
9
A 2 B 12 I 25
B 3 C 10 H 40 I 8
C 2 D 18 G 55
D 1 E 44
E 2 F 60 G 38
F 0
G 1 H 35
H 1 I 35
3
A 2 B 10 C 40
B 1 C 20
0
样例输出:
216
30
*/
#include <stdio.h>
#include <algorithm>
using namespace std;
#define N 27
int tree[N];
int findroot(int x){
if(tree[x] == -1) return x;
else{
int tmp = findroot(tree[x]);
tree[x] = tmp;
return tmp;
}
}
struct edge{
int a,b;
double cost;
bool operator < (const edge &A) const{
return cost < A.cost;
}
}buf[500];
int main(){
int n,i,j,k,weight,sumcost,m;
char ch1,ch2;
while(scanf("%d",&n) != EOF && n != 0){
for(i=0;i<n;i++)
tree[i] = -1;
getchar();
k=0;
for(i=0;i<n-1;i++){
scanf("%c %d",&ch1,&m);
getchar();
for(j=0;j<m;j++){
scanf("%c %d",&ch2,&weight);
buf[k].a=ch1-'A';
buf[k].b=ch2-'A';
buf[k].cost = weight;
k++;
getchar();
}
}
sort(buf,buf+k);
j=0;
sumcost=0;
for(i=0;i<k;i++){
int a = findroot(buf[i].a);
int b = findroot(buf[i].b);
if(a != b){
tree[a]=b;
sumcost += buf[i].cost;
j++;
/* if(j==(n-1))
break; */
}
}
printf("%d\n",sumcost);
}
return 0;
}

这篇关于图(最小生成树) MST 3的文章就介绍到这儿,希望我们推荐的文章对编程师们有所帮助!



http://www.chinasem.cn/article/999343

相关文章

详解Java中如何使用JFreeChart生成甘特图

《详解Java中如何使用JFreeChart生成甘特图》甘特图是一种流行的项目管理工具,用于显示项目的进度和任务分配,在Java开发中,JFreeChart是一个强大的开源图表库,能够生成各种类型的图... 目录引言一、JFreeChart简介二、准备工作三、创建甘特图1. 定义数据集2. 创建甘特图3.

AI一键生成 PPT

AI一键生成 PPT 操作步骤 作为一名打工人,是不是经常需要制作各种PPT来分享我的生活和想法。但是,你们知道,有时候灵感来了,时间却不够用了!😩直到我发现了Kimi AI——一个能够自动生成PPT的神奇助手!🌟 什么是Kimi? 一款月之暗面科技有限公司开发的AI办公工具,帮助用户快速生成高质量的演示文稿。 无论你是职场人士、学生还是教师,Kimi都能够为你的办公文

pdfmake生成pdf的使用

实际项目中有时会有根据填写的表单数据或者其他格式的数据,将数据自动填充到pdf文件中根据固定模板生成pdf文件的需求 文章目录 利用pdfmake生成pdf文件1.下载安装pdfmake第三方包2.封装生成pdf文件的共用配置3.生成pdf文件的文件模板内容4.调用方法生成pdf 利用pdfmake生成pdf文件 1.下载安装pdfmake第三方包 npm i pdfma

poj 1258 Agri-Net(最小生成树模板代码)

感觉用这题来当模板更适合。 题意就是给你邻接矩阵求最小生成树啦。~ prim代码:效率很高。172k...0ms。 #include<stdio.h>#include<algorithm>using namespace std;const int MaxN = 101;const int INF = 0x3f3f3f3f;int g[MaxN][MaxN];int n

poj 1287 Networking(prim or kruscal最小生成树)

题意给你点与点间距离,求最小生成树。 注意点是,两点之间可能有不同的路,输入的时候选择最小的,和之前有道最短路WA的题目类似。 prim代码: #include<stdio.h>const int MaxN = 51;const int INF = 0x3f3f3f3f;int g[MaxN][MaxN];int P;int prim(){bool vis[MaxN];

poj 2349 Arctic Network uva 10369(prim or kruscal最小生成树)

题目很麻烦,因为不熟悉最小生成树的算法调试了好久。 感觉网上的题目解释都没说得很清楚,不适合新手。自己写一个。 题意:给你点的坐标,然后两点间可以有两种方式来通信:第一种是卫星通信,第二种是无线电通信。 卫星通信:任何两个有卫星频道的点间都可以直接建立连接,与点间的距离无关; 无线电通信:两个点之间的距离不能超过D,无线电收发器的功率越大,D越大,越昂贵。 计算无线电收发器D

poj 1734 (floyd求最小环并打印路径)

题意: 求图中的一个最小环,并打印路径。 解析: ans 保存最小环长度。 一直wa,最后终于找到原因,inf开太大爆掉了。。。 虽然0x3f3f3f3f用memset好用,但是还是有局限性。 代码: #include <iostream>#include <cstdio>#include <cstdlib>#include <algorithm>#incl

hdu 1102 uva 10397(最小生成树prim)

hdu 1102: 题意: 给一个邻接矩阵,给一些村庄间已经修的路,问最小生成树。 解析: 把已经修的路的权值改为0,套个prim()。 注意prim 最外层循坏为n-1。 代码: #include <iostream>#include <cstdio>#include <cstdlib>#include <algorithm>#include <cstri

【生成模型系列(初级)】嵌入(Embedding)方程——自然语言处理的数学灵魂【通俗理解】

【通俗理解】嵌入(Embedding)方程——自然语言处理的数学灵魂 关键词提炼 #嵌入方程 #自然语言处理 #词向量 #机器学习 #神经网络 #向量空间模型 #Siri #Google翻译 #AlexNet 第一节:嵌入方程的类比与核心概念【尽可能通俗】 嵌入方程可以被看作是自然语言处理中的“翻译机”,它将文本中的单词或短语转换成计算机能够理解的数学形式,即向量。 正如翻译机将一种语言

poj 3723 kruscal,反边取最大生成树。

题意: 需要征募女兵N人,男兵M人。 每征募一个人需要花费10000美元,但是如果已经招募的人中有一些关系亲密的人,那么可以少花一些钱。 给出若干的男女之间的1~9999之间的亲密关系度,征募某个人的费用是10000 - (已经征募的人中和自己的亲密度的最大值)。 要求通过适当的招募顺序使得征募所有人的费用最小。 解析: 先设想无向图,在征募某个人a时,如果使用了a和b之间的关系