poj 1986 Distance Queries
好像是模板题 当作练习题 不错; 要求任意两点之间的距离。可以假设一个根节点,然后所有点到根节点的距离,然后求出任意两点多公共祖先; 距离就变成了
dis[u]+dis[v] - 2*dis[ lca(u,v) ] 非常好的题目
#include<iostream>
#include<stdio.h>
#include<cstring>
#include<algorithm>
#include<cmath>
using namespace std; struct date{
int v,val,next;
}edge[];
int N,M,total,head[],dis[];
void add_edge( int u,int v,int val ){
edge[total].v = v;
edge[total].val = val;
edge[total].next = head[u];
head[u] = total++;
}
bool vis[]; int num,sta[],tab[],dep[],dp[][];
void LCA( int son,int deep,int w ){
dep[num] = deep; tab[num] = son; sta[son] = num++; dis[son] = w; vis[son] = true;
for( int i = head[son]; i != -; i = edge[i].next ){
int v = edge[i].v; //cout<<edge[i].val<<endl;
if( !vis[v] )
{ LCA( v,deep+,w+edge[i].val ); dep[num] = deep; tab[num] = son; num++; }
}
//dep[num] = deep; tab[num] = son; num++;
}
int work( int n1,int n2 ){
if( dep[n1] < dep[n2] )return n1;
return n2;
}
void RMQ( ){
for( int i = ; i <= num; i++ )dp[i][] = i;
for( int i = ; (<<i) <= num; i++ )
for( int j = ; j - + (<<i) <= num; j++ )
dp[j][i] = work( dp[j][i-],dp[j+(<<(i-))][i-] );
}
int query( int L,int R )
{
int k = ;
while( (<<(k+)) <= (R-L+) )k++;
return tab[work( dp[L][k],dp[R-(<<k)+][k] )];
}
int main( )
{
int u,v,w; char str[];
while( scanf("%d%d",&N,&M) != EOF )
{
memset( head,-,sizeof(head) ); total = ;
for( int i = ; i <= M; i++ )
{
scanf("%d%d%d%s",&u,&v,&w,&str);
add_edge( u,v,w );
add_edge( v,u,w );
}
memset( vis,,sizeof(vis) );
num = ; LCA( ,, ); num--; RMQ( );
//for( int i = 1; i <= num; i++ )cout<<i<<" "<<dep[i]<<" "<<tab[i]<<endl;
int Q; scanf("%d",&Q);
while( Q-- ){
scanf("%d%d",&u,&v);
//cout<<u<<" "<<v<<" "<<dis[u]<<" "<<dis[v]<<endl;
if( sta[u] > sta[v] )swap( u,v );
int t = query(sta[u],sta[v]);//cout<<endl<<" "<<t<<endl;
//cout<<t<<" "<<dis[1]<<" "<<u<<" "<<v<<" "<<dis[u]<<" "<<dis[v]<<endl;
cout<<dis[u]+dis[v]-*dis[t]<<endl;
}
}
return ;
}
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