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hdu 2196 Computer(树形图+bfs)

来源:程序员人生   发布时间:2015-07-24 09:07:03 阅读次数:3780次

Computer

Time Limit: 1000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 3956    Accepted Submission(s): 1983


Problem Description
A school bought the first computer some time ago(so this computer's id is 1). During the recent years the school bought N⑴ new computers. Each new computer was connected to one of settled earlier. Managers of school are anxious about slow functioning of the net and want to know the maximum distance Si for which i-th computer needs to send signal (i.e. length of cable to the most distant computer). You need to provide this information. 


Hint: the example input is corresponding to this graph. And from the graph, you can see that the computer 4 is farthest one from 1, so S1 = 3. Computer 4 and 5 are the farthest ones from 2, so S2 = 2. Computer 5 is the farthest one from 3, so S3 = 3. we also get S4 = 4, S5 = 4.
 

Input
Input file contains multiple test cases.In each case there is natural number N (N<=10000) in the first line, followed by (N⑴) lines with descriptions of computers. i-th line contains two natural numbers - number of computer, to which i-th computer is connected and length of cable used for connection. Total length of cable does not exceed 10^9. Numbers in lines of input are separated by a space.
 

Output
For each case output N lines. i-th line must contain number Si for i-th computer (1<=i<=N).
 

Sample Input
5 1 1 2 1 3 1 1 1
 

Sample Output
3 2 3 4 4
 

求树上1点到其它点的最远距离,先以任1点为根节点,进行1次bfs搜到距离当前点最远的点root1,从root1开始再搜,得到root2,从root2再搜1次得到终究答案,每次搜的进程中更新每一个点的最远距离。

#include<stdio.h> #include<math.h> #include<string.h> #include<stdlib.h> #include<algorithm> #include<queue> #include<vector> using namespace std; #define ll long long #define N 11000 #define mem(a,t) memset(a,t,sizeof(a)) struct node { int v,w,next; }e[N*2]; int head[N]; int dis[N]; int cnt; int len_max,root; void add(int u,int v,int w) { e[cnt].v=v; e[cnt].w=w; e[cnt].next=head[u]; head[u]=cnt++; } void bfs(int u,int len,int fa) { int i,v; if(len>len_max) { len_max=len; root=u; } for(i=head[u];i!=⑴;i=e[i].next) { v=e[i].v; if(v!=fa) { if(dis[v]<len+e[i].w) dis[v]=len+e[i].w; bfs(v,len+e[i].w,u); } } return ; } int main() { int i,n,a,b; while(~scanf("%d",&n)) { mem(head,⑴); cnt=0; for(i=2;i<=n;i++) { scanf("%d%d",&a,&b); add(i,a,b); add(a,i,b); } mem(dis,0); len_max=0; bfs(1,0,⑴); len_max=0; bfs(root,0,⑴); bfs(root,0,⑴); for(i=1;i<=n;i++) printf("%d ",dis[i]); } return 0; }



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