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Test instructions: There are two operations, 1 is to ask the length of the longest path with U, 2 is to merge the two sets of U and V, but to make the longest path of the merged set minimum
Idea: Because the subsequent operation will change the path length, you can first preprocess all the length, in a set of elements of the longest path of the same, and then perform the query operation, is this preprocessing is really drunk, that is, two times BFS to find the maximum value, but it is possible to timeout, because if two points in a set, Will go 150,000 times, and then judge the maximum value of each point, so definitely time out, we will set the elements of this collection to determine the elements of the line, it will not time out, and then is the collection of merged parts, two sets a,b,a the longest path is 8,b the longest path is 3, So the longest path after the merger is how much, because the longest path is the shortest, then we will be two lengths are binary merge on the line, then this length is (8+1)/2+ (3+1)/2=6, but the longest length or 8, understand it, compare the three cases on the line
#include <queue> #include <vector> #include <stdio.h> #include <string.h> #include <stdlib.h > #include <iostream> #include <algorithm>using namespace std;typedef long long ll;typedef unsigned long Long Ull;const int inf=0x3f3f3f3f;const ll Inf=0x3f3f3f3f3f3f3f3fll;const int maxn=300010;vector<int>g[maxn]; Vector<int>gg[maxn];int f[maxn],num[maxn],used[maxn],vis[maxn],dis[maxn];int n;int find1 (int x) {if (x!=f[x]) F [X]=find1 (F[x]); return f[x];} void Unite (int a,int b) {int aa=find1 (a); int Bb=find1 (b); if (AA==BB) return; F[aa]=bb;num[bb]=max (Max (NUM[AA],NUM[BB]), (num[aa]+1)/2+ (num[bb]+1)/2+1);} void BFs (int s) {int bbq=find1 (s); int kkk=gg[bbq].size (); for (int i=0;i<kkk;i++) {int ll=gg[bbq][i]; dis[ll]=0;vis[ll]=0; } vis[s]=1;dis[s]=0; queue<int>que; Que.push (s); while (!que.empty ()) {int U=que.front (); Que.pop (); Used[u]=1; for (unsigned int i=0;i<g[u].sizE (); i++) {int v=g[u][i]; if (vis[v]==0) {vis[v]=1; dis[v]=dis[u]+1; Que.push (v); }}}}int slove (int s) {int max1=0,pos=s; BFS (s); int Bbq=find1 (s); int kkk=gg[bbq].size (); for (int i=0;i<kkk;i++) {int ll=gg[bbq][i]; if (DIS[LL]>MAX1) {max1=dis[ll];p os=ll; }} BFS (POS); Bbq=find1 (POS); Kkk=gg[bbq].size (); int ans=0; for (int i=0;i<kkk;i++) {int ll=gg[bbq][i]; if (Dis[ll]>ans) ans=dis[ll]; } return ans; int main () {int m,q,u,v,so; while (scanf ("%d%d%d", &n,&m,&q)!=-1) {for (int i=0;i<maxn;i++) g[i].clear (), gg[i].clear (); for (int i=0;i<=n;i++) f[i]=i; memset (num,0,sizeof (num)); for (int i=0;i<m;i++) {scanf ("%d%d", &u,&v); G[u].push_back (v); G[v].push_back (U); int u1=find1 (U), V1=find1 (v); if (U1!=V1) F[U1]=v1; } for (int i=1;i<=n;i++) {int t=find1 (i); Gg[t].push_back (i); } for (int i=1;i<=n;i++) {if (I==f[i]) {int ans=slove (i); Num[i]=ans; }} for (int i=0;i<q;i++) {scanf ("%d", &so); if (so==2) {scanf ("%d%d", &u,&v); Unite (U,V); }else if (so==1) {scanf ("%d", &u); int ans=find1 (u); printf ("%d\n", Num[ans]); }}} return 0;}
Coderforces 455C and check the diameter of the tree