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  • HDU2586 How far away?(tarjan的LCA)

    How far away ?

    Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
    Total Submission(s): 13641    Accepted Submission(s): 5117


    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
     
    Source
     
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    玛德这题为什么总是TLE……不是很懂>...<
     1 #include "bits/stdc++.h"
     2 #define mem(a,b) memset(a,b,sizeof(a))
     3 using namespace std;
     4 typedef long long LL;
     5 const int MAX1=40005;
     6 const int MAX2=405;
     7 int cas;
     8 int n,m;
     9 int tot,tq;
    10 int head[MAX1],hq[MAX1];
    11 struct Edge{ int v,w; int next;} edge[MAX2],eq[MAX2];
    12 int ans[MAX2],dis[MAX1];
    13 int fa[MAX1];
    14 bool vis[MAX1];
    15 inline void addedge(int u,int v,int w) {tot++; edge[tot].v=v;edge[tot].w=w; edge[tot].next=head[u]; head[u]=tot;}
    16 inline void addq(int u,int v) {tq++; eq[tq].v=v; eq[tq].next=hq[u]; hq[u]=tq;}
    17 int getfather(int x) {if (fa[x]==x) return x;return fa[x]=getfather(fa[x]);}
    18 void dfs(int x,int ff,int w){
    19     dis[x]=w;
    20     for (int i=head[x];i;i=edge[i].next){
    21         if (edge[i].v==ff) continue;
    22         dfs(edge[i].v,x,w+edge[i].w);
    23     }
    24 }
    25 void init(){
    26     int i,j;
    27     int u,v,w;
    28     scanf("%d%d",&n,&m);
    29     mem(ans,0),mem(vis,false),mem(head,0),mem(hq,0),mem(dis,0);
    30     for (i=1;i<=n;i++)
    31      fa[i]=i;
    32     tot=tq=0;
    33     for (i=1;i<n;i++){
    34         scanf("%d%d%d",&u,&v,&w);
    35         addedge(u,v,w);
    36         addedge(v,u,w);
    37     }
    38     for (i=1;i<=m;i++){
    39         scanf("%d%d",&u,&v);
    40         addq(u,v);
    41     }
    42 }
    43 void tarjanlca(int x){
    44     fa[x]=x;vis[x]=true;
    45     int i,j;
    46     for (i=head[x];i;i=edge[i].next){
    47         if (!vis[edge[i].v]){
    48             tarjanlca(edge[i].v);
    49             fa[edge[i].v]=x;
    50         }
    51     }
    52     for (i=hq[x];i;i=eq[i].next){
    53         if (vis[eq[i].v]){
    54             j=getfather(eq[i].v);
    55             ans[i]=dis[x]+dis[eq[i].v]-2*dis[j];
    56         }
    57     }
    58 }
    59 int main(){
    60     freopen ("away.in","r",stdin);
    61     freopen ("away.out","w",stdout);
    62     int i,j;
    63     scanf("%d",&cas);
    64     while (cas--){
    65         init();
    66         dfs(1,0,0);
    67         tarjanlca(1);
    68         for (i=1;i<=m;i++)
    69          printf("%d\n",ans[i]);
    70     }
    71     return 0;
    72 }
    未来是什么样,未来会发生什么,谁也不知道。 但是我知道, 起码从今天开始努力, 肯定比从明天开始努力, 要快一天实现梦想。 千里之行,始于足下! ——《那年那兔那些事儿》
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  • 原文地址:https://www.cnblogs.com/keximeiruguo/p/6017641.html
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