Network delay DFS BFS DP

Network delay DFS BFS DP

DP

Idea: dfs Function: Return the maximum length to the leaf node with this point as the root, plus 1 plus an edge above the vertex, by the recursive formula: dfs(i)=max{dfs(j)}+1 dfs( Leaf node)=1

#include<iostream>
using namespace std;
#include<cstring>

int idx;
int e[20005];
int h[20005];
int ne[20005];
int ans;

int n,m;

void add(int u,int v)
{
    
    
	e[idx]=v;
	ne[idx]=h[u];
	h[u]=idx++;
	
}

int dfs(int u)
{
    
    
	int d1=0,d2=0;
	
	for(int i=h[u];~i;i=ne[i])
	{
    
    
		int t=dfs(e[i]);
		if(t>=d1)    //注意是>=不是= 
		{
    
    
			d2=d1;
			d1=t;     // 注意d1,d2的赋值位置 
		}else if(t>d2)
		{
    
    
			d2=t;
		}
	}
	
	ans=max(ans,d1+d2);
	
	return d1+1;
}

int main()
{
    
    
	memset(h,-1,sizeof(h));
	cin>>n>>m;
	int ed;
	int pc;
	for(int i=2;i<=n;i++)
	{
    
    
		scanf("%d",&ed);
		add(ed,i);
	}
	
	for(int i=0,k=n+1;i<m;i++,k++)
	{
    
    
		scanf("%d",&pc);
		add(pc,k);
	} 
	dfs(1);
	cout<<ans;
	return 0;	
 } 

BFS

#include<iostream>
#include<cstring>
using namespace std;
#include<vector>
#include<queue>


#define PII pair<int,int>

int dis[20005];
int vis[20005];

vector<int>  gg[20005];
queue<PII > qq;
queue<int> ff;

int n,m;

void bfs_2(int a)
{
    
    
	memset(vis,0,sizeof(vis));
	qq.push({
    
    a,0});
	vis[a]=1;
	PII tt;
	int next;
	int now;
	while(!qq.empty())
	{
    
    
		tt=qq.front();
		qq.pop();
		now=tt.first;
		for(int i=0;i<gg[now].size();i++)
		{
    
    
			next=gg[now][i];
			
			if(!vis[next])
			{
    
    
				vis[next]=1;
				qq.push({
    
    next,tt.second+1});
			}	
		}

		if(qq.empty())
		{
    
    
			cout<<tt.second;
		}
		
	}
	
	
	
	
}


void bfs_1()
{
    
    
	memset(vis,0,sizeof(vis));
	ff.push(1);
	vis[1]=1;
	int next;
	while(!ff.empty())
	{
    
    
		int now=ff.front();
		ff.pop();
		
		for(int i=0;i<gg[now].size();i++)
		{
    
    
			next=gg[now][i];
			
			if(!vis[next])
			{
    
    
				vis[next]=1;
				ff.push(next);
			 } 
		}
		if(ff.empty())
		{
    
    
			bfs_2(now); 
		}
	}
	
	
}






int main()
{
    
    
	cin>>n>>m;
	int c,d;
	for(int i=2;i<=n;i++)
	{
    
    
		scanf("%d",&c);
		gg[i].push_back(c);
		gg[c].push_back(i);
	}
	
	for(int i=0,k=n+1;i<m;i++,k++)
	{
    
    
		scanf("%d",&d);
		gg[k].push_back(d);
		gg[d].push_back(k);
	}
		
	bfs_1();
	
	
	
	
	
	return 0;
}

DFS

#include<iostream>
#include<cstring>
using namespace std;
#include<vector>
#include<queue>


#define PII pair<int,int>

int dis[20005];
int vis[20005];

vector<int>  gg[20005];
queue<PII > qq;
queue<int> ff;

int n,m;

int max_p;
int max_l;


void dfs(int p,int level)
{
    
    
	vis[p]=1;
	if(level>max_l)
	{
    
    
		max_l=level;
		max_p=p;
	}

	int next;
	for(int i=0;i<gg[p].size();i++)
	{
    
    
		next=gg[p][i];
		if(!vis[next])
		{
    
    
			dfs(next,level+1);
			vis[next]=0;                         //这里面是树 可以不用再使vis变为0,最短路需要 
		}
	}	
}






int main()
{
    
    
	cin>>n>>m;
	int c,d;
	for(int i=2;i<=n;i++)
	{
    
    
		scanf("%d",&c);
		gg[i].push_back(c);
		gg[c].push_back(i);
	}
	
	for(int i=0,k=n+1;i<m;i++,k++)
	{
    
    
		scanf("%d",&d);
		gg[k].push_back(d);
		gg[d].push_back(k);
	}
		
	dfs(1,0);
	memset(vis,0,sizeof(vis));
	dfs(max_p,0);
	cout<<max_l;
	
	return 0;
}

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Origin blog.csdn.net/weixin_45448563/article/details/113918582