2586 How far away ?

本文介绍了一种解决乡村中询问从一个房屋到另一个房屋的最短距离问题的方法,利用单源最短路径算法来解答乡村居民的问题。

摘要生成于 C知道 ,由 DeepSeek-R1 满血版支持, 前往体验 >

Problem Description
There are n houses in the village and some bidirectional roads connecting them. Every day peole always like to ask like this "How far is it if I want to go from house A to house B"? Usually it hard to answer. But luckily int this village the answer is always unique, since the roads are built in the way that there is a unique simple path("simple" means you can't visit a place twice) between every two houses. Yout task is to answer all these curious people.
 

Input
First line is a single integer T(T<=10), indicating the number of test cases.
  For each test case,in the first line there are two numbers n(2<=n<=40000) and m (1<=m<=200),the number of houses and the number of queries. The following n-1 lines each consisting three numbers i,j,k, separated bu a single space, meaning that there is a road connecting house i and house j,with length k(0<k<=40000).The houses are labeled from 1 to n.
  Next m lines each has distinct integers i and j, you areato answer the distance between house i and house j.
 

Output
For each test case,output m lines. Each line represents the answer of the query. Output a bland line after each test case.
 

Sample Input
2 3 2 1 2 10 3 1 15 1 2 2 3 2 2 1 2 100 1 2 2 1
 

Sample Output
10 25 100 100

这里才用的是单源最短路径,注意在不能到达的时候,输出是0!



#include <iostream>
#include <queue>
using namespace std;
const int size=40001;
const int maxs=2000000000;
struct node 
{
	int a;
	int b;
	int dis;
	node *next;
};
unsigned int dis[size];
node *mynode[size]={0};
bool visited[size]={0};
int start,end;
int main()
{
	for (int j=0;j<size;++j)
	{
		mynode[j]=NULL;
		dis[j]=maxs;
		visited[j]=0;
	}

	queue<node*> q;
	int T,n,m,a,b,c;
	cin>>T;
	while (T>0)
	{
		cin>>n>>m;
		while (n-1>0)
		{
			cin>>a>>b>>c;
			node *na=new node;
			node *nb=new node;
			na->a=nb->b=a;
			na->b=nb->a=b;
			na->dis=nb->dis=c;
			if (mynode[a]==NULL)
			{
				mynode[a]=na;
				na->next=NULL;
			}
			else
			{
				na->next=mynode[a];
				mynode[a]=na;
			}
			if (mynode[b]==NULL)
			{
				mynode[b]=nb;
				nb->next=NULL;
			}
			else
			{
				nb->next=mynode[b];
				mynode[b]=nb;
			}		
			--n;
		}
		while (m>0)
		{
			int sum=-1;
			node *temp;
			cin>>a>>b;
			start=a;
			end=b;
			dis[start]=0;
			temp=mynode[a];
			while (temp!=NULL)
			{
				dis[temp->b]=temp->dis;
				q.push(temp);
				visited[temp->a]=visited[temp->b]=1;
				temp=temp->next;
			}
			while (!q.empty())
			{
				temp=q.front();
				q.pop();
				
				temp=mynode[temp->b];
				while (temp!=NULL)
				{
					if (!visited[temp->b])
					{
						q.push(temp);
						visited[temp->b]=1;
					}
					if (dis[temp->b]>dis[temp->a]+temp->dis)
						dis[temp->b]=dis[temp->a]+temp->dis;
					temp=temp->next;
				}
			}
			if (dis[end]==maxs)
				cout<<0<<endl;
			else cout<<dis[end]<<endl;
			--m;
			for (int j=0;j<size;++j)
			{
				dis[j]=maxs;
				visited[j]=0;
			}
		}
		for (int j=0;j<size;++j)
		{
			node* temp;
			while (mynode[j]!=NULL)
			{
				temp=mynode[j];
				mynode[j]=mynode[j]->next;
				delete temp;
			}
		}
		--T;
	}
	return 0;
}


### RSoft Far Field Simulation Software Overview RSoft far field simulation software serves as a powerful tool designed specifically for the optical design and analysis domain. This suite enables engineers and researchers to simulate and analyze various aspects of light propagation, including near-field and far-field distributions[^1]. The software provides comprehensive capabilities that facilitate detailed investigations into how different components interact with electromagnetic waves. The key features include: - **Advanced Propagation Models**: Utilizes sophisticated algorithms to accurately model complex wave interactions within photonic devices. - **High-Fidelity Visualization Tools**: Offers high-resolution graphical representations of both electric fields and power densities across multiple dimensions. - **Comprehensive Analysis Capabilities**: Supports extensive post-processing functions allowing users to extract meaningful insights from raw data through statistical measures or custom scripts written in Python or MATLAB. For instance, when simulating an optical system using this platform, one can define parameters such as wavelength range, grid size, boundary conditions among others before running simulations which then generate results showing intensity patterns over specified angles or distances away from source points. ```matlab % Example MATLAB script interfacing with RSoft's API addpath('C:\Program Files\RSoft\BeamPROP'); beamprop_init; set_param('wavelength', 1.55e-6); run_simulation(); plot_results('far_field_intensity'); ``` In addition to these core functionalities, integration options exist enabling seamless workflows between CAD tools like SolidWorks alongside other third-party applications enhancing overall productivity during development cycles involving photonics-based projects.
评论
添加红包

请填写红包祝福语或标题

红包个数最小为10个

红包金额最低5元

当前余额3.43前往充值 >
需支付:10.00
成就一亿技术人!
领取后你会自动成为博主和红包主的粉丝 规则
hope_wisdom
发出的红包
实付
使用余额支付
点击重新获取
扫码支付
钱包余额 0

抵扣说明:

1.余额是钱包充值的虚拟货币,按照1:1的比例进行支付金额的抵扣。
2.余额无法直接购买下载,可以购买VIP、付费专栏及课程。

余额充值