This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "dreaming.h"
#include <bits/stdc++.h>
#define MAX 100001
#define INF INT_MAX
#define MOD 1000000007
#define mp make_pair
#define mt make_tuple
#define pb push_back
#define ins insert
#define ff first
#define ss second
#define gett(x,m) get<m>(x)
#define all(a) a.begin(),a.end()
#define lb(a,b) lower_bound(all(a),b)
#define ub(a,b) upper_bound(all(a),b)
#define sortv(a) sort(all(a))
#define sorta(a,sz) sort(a,a+sz)
#define inputar(a,b){\
for(int i=0;i<b;i++){\
cin >> a[i];\
}\
}
#define inputvec(a,b){\
for(int i=0;i<b;i++){\
ll num;\
cin >> num;\
a.pb(num);\
}\
}
#define outputar(a,b){\
for(int i=0;i<b;i++){\
cout << a[i] << " ";\
}\
cout << "\n";\
}
#define outputvec(a){\
for(auto x:a){\
cout << x << " ";\
}\
cout << "\n";\
}
#define reset(a,n,v){\
for(int i=0;i<n;i++){\
a[i]=v;\
}\
}
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef tuple<ll,ll,ll> tll;
typedef pair<ll,ll> pll;
typedef pair<int,int> pii;
typedef double db;
typedef long double ldb;
inline void USACO(string filename){
freopen((filename+".in").c_str(),"r",stdin);
freopen((filename+".out").c_str(),"w",stdout);
}
int h;
bool used[MAX];
int dist[MAX];
int dist2[MAX];
int maxdist1[MAX];
pair<pii,pii> maxdist[MAX];
vector<vector<pii>> g;
int b[MAX];
vector<int> e;
void dfs(int v,int prev){
e.pb(v);
used[v]=true;
for(auto x:g[v]){
if(x.ff==prev){
continue;
}
dist[x.ff]=dist[v]+x.ss;
dfs(x.ff,v);
}
}
void dfs4(int v,int prev){
for(auto x:g[v]){
if(x.ff==prev){
continue;
}
dist2[x.ff]=dist2[v]+x.ss;
dfs4(x.ff,v);
}
}
void dfs1(int v,int prev){
used[v]=true;
maxdist1[v]=dist[v];
for(auto x:g[v]){
if(x.ff==prev){
continue;
}
dfs1(x.ff,v);
maxdist1[v]=max(maxdist1[v],maxdist1[x.ff]);
}
}
void dfs2(int v,int prev){
used[v]=true;
maxdist[v]=mp(mp(-INF,-INF),mp(-INF,-INF));
for(auto x:g[v]){
if(x.ff==prev){
continue;
}
if(maxdist1[x.ff]>maxdist[v].ff.ff){
maxdist[v].ss=max(maxdist[v].ss,maxdist[v].ff);
maxdist[v].ff=mp(maxdist1[x.ff],x.ff);
}
else if(maxdist1[x.ff]>maxdist[v].ss.ff){
maxdist[v].ss=mp(maxdist1[x.ff],x.ff);
}
dfs2(x.ff,v);
}
}
void dfs3(int v,int prev){
int h1=0;
h1=max(h1,maxdist1[v]-dist[v]);
if(prev!=-1){
pair<pii,pii> p1=maxdist[prev];
pii p2,p3;
p2=p1.ff;
p3=p1.ss;
b[v]=b[prev]+dist[v]-dist[prev];
if(p2.ss!=v && p2.ff!=-INF){
b[v]=max(b[v],p2.ff+dist[v]-2*dist[prev]);
}
else if(p3.ff!=-INF){
b[v]=max(b[v],p3.ff+dist[v]-2*dist[prev]);
}
h1=max(h1,b[v]);
}
h=min(h,h1);
used[v]=true;
for(auto x:g[v]){
if(x.ff==prev){
continue;
}
dfs3(x.ff,v);
}
}
int travelTime(int N, int M, int L, int A[], int B[], int T[]) {
int res;
g.resize(N);
for(int i=0;i<M;i++){
g[A[i]].pb(mp(B[i],T[i]));
g[B[i]].pb(mp(A[i],T[i]));
}
int maxd=0;
for(int i=0;i<N;i++){
if(!used[i]){
e.clear();
dfs(i,-1);
int maxd1=0;
int maxd2=0;
int ind=0;
for(auto x:e){
if(dist[x]>maxd1){
maxd1=dist[x];
ind=x;
}
}
dfs4(ind,-1);
for(auto x:e){
maxd2=max(maxd2,dist2[x]);
}
maxd=max(maxd,maxd2);
}
}
memset(used,false,sizeof(used));
for(int i=0;i<N;i++){
if(!used[i]){
dfs1(i,-1);
}
}
memset(used,false,sizeof(used));
for(int i=0;i<N;i++){
if(!used[i]){
dfs2(i,-1);
}
}
memset(used,false,sizeof(used));
vector<int> c;
for(int i=0;i<N;i++){
if(!used[i]){
h=INF;
dfs3(i,-1);
c.pb(h);
}
}
sortv(c);
reverse(all(c));
if(c.size()==1){
res=c[0];
}
else{
res=c[0]+c[1]+L;
}
if(c.size()>2){
res=max(res,c[1]+c[2]+2*L);
}
res=max(maxd,res);
return res;
}
/*
int main(){
int n,m,k;
cin >> n >> m >> k;
int A[m],B[m],T[m];
for(int i=0;i<m;i++){
cin >> A[i] >> B[i] >> T[i];
}
cout << travelTime(n,m,k,A,B,T);
}
*/
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