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题意:有n个房子,用n-1条边连接起来,接下了有m次询问,询问两个房子之间的距离是多少。先建一棵树,然后求出每一点i到树根的距离dis[i],然后每次询问a,b之间的距离=dis[a]+dis[b]-2*dis[LCA(a,b)],LCA(a,b)即是a,b的最近公共祖先。
#include<bits/stdc++.h> using namespace std; typedef long long LL; const int INF = 0x3f3f3f3f; const int mod = 1e9; const int M = 1000000+10; const int MAXN = 201010; const int MAXQ = 30000; int F[MAXN]; int find(int x) { if(F[x] == -1)return x; return F[x] = find(F[x]); } void bing(int u,int v) { int t1 = find(u); int t2 = find(v); if(t1 != t2) F[t1] = t2; } bool vis[MAXN];//访问标记 int ancestor[MAXN];//祖先 struct Edge { int to,next,val; } edge[MAXN*2]; int head[MAXN*2],tot; int dis[MAXN*2]; void addedge(int u,int v,int w) { edge[tot].to = v; edge[tot].val = w; edge[tot].next = head[u]; head[u] = tot++; } struct Query { int q,next; int to; int index;//查询编号 } query[MAXQ*2]; int answer[MAXQ];//存储最后的查询结果,下标0~Q-1 int h[MAXQ]; int tt; int Q; void add_query(int u,int v,int index) { query[tt].q = v; query[tt].next = h[u]; query[tt].to = u; query[tt].index = index; h[u] = tt++; query[tt].q = u; query[tt].next = h[v]; query[tt].to = v; query[tt].index = index; h[v] = tt++; } void init() { tot = 0; memset(head,-1,sizeof(head)); tt = 0; memset(h,-1,sizeof(h)); memset(vis,false,sizeof(vis)); memset(F,-1,sizeof(F)); memset(ancestor,0,sizeof(ancestor)); dis[1]=0; } void LCA(int u) { ancestor[u] = u; vis[u] = true; for(int i = head[u]; i != -1; i = edge[i].next) { int v = edge[i].to; if(vis[v]) continue; dis[v]=dis[u]+edge[i].val; LCA(v); bing(u,v); ancestor[find(u)] = u; } for(int i = h[u]; i != -1; i = query[i].next) { int v = query[i].q; if(vis[v]) { answer[query[i].index] = ancestor[find(v)]; } } } bool flag[MAXN]; int Count_num[MAXN]; int main() { int n; int u,v,k; int w; int t,Q; scanf("%d",&t); while(t--) { scanf("%d%d",&n,&Q); init(); memset(flag,false,sizeof(flag)); for(int i = 1; i < n; i++) { scanf("%d%d%d",&u,&v,&w); flag[v] = true; addedge(u,v,w); addedge(v,u,w); } for(int i = 1; i <= Q; i++) { scanf("%d%d",&u,&v); add_query(u,v,i); } int root; for(int i = 1; i <= n; i++) if(!flag[i]) { root = i; break; } LCA(root); for(int i = 1; i < tt; i+=2) //query 1=2 就是查询询问插入的a b的祖先 { cout<<answer[query[i].index]<<endl; printf("%d\n",dis[query[i].q]+dis[query[i].to]-2*dis[answer[query[i].index]]); } } return 0; }
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