题目链接:Codeforces - Anton and Tree
显然,相同颜色可以缩点。然后变成一张相邻两点都不同的树。
多画一下可以发现答案就是树的直径/2.
AC代码:
#pragma GCC optimize("-Ofast","-funroll-all-loops")
#include<bits/stdc++.h>
//#define int long long
using namespace std;
const int N=2e5+10;
int f[N],n,c[N],x[N],y[N],p1,p2,d[N],mx,p;
vector<int> g[N];
int find(int x){return x==f[x]?x:f[x]=find(f[x]);}
inline int bfs(int s){
queue<int> q; q.push(s); memset(d,-1,sizeof d); d[s]=0; mx=0,p=s;
while(q.size()){
int u=q.front(); q.pop();
for(auto to:g[u]){
if(d[to]!=-1) continue;
d[to]=d[u]+1; q.push(to);
if(d[to]>mx) mx=d[to],p=to;
}
}
return p;
}
signed main(){
ios::sync_with_stdio(false),cin.tie(nullptr);
cin>>n;
for(int i=1;i<=n;i++) cin>>c[i],f[i]=i;
for(int i=1;i<n;i++){
cin>>x[i]>>y[i]; int fx=find(x[i]),fy=find(y[i]);
if(c[fx]==c[fy]) f[fx]=find(fy);
}
for(int i=1;i<n;i++){
int fx=find(x[i]),fy=find(y[i]);
if(fx!=fy) g[fx].push_back(fy),g[fy].push_back(fx);
}
p1=bfs(f[1]); p2=bfs(p1);
cout<<(mx+1)/2;
return 0;
}