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<bits/stdc++.h>
#define ll long long
using namespace std;
int n,f[201000];
ll aw[201000];
struct ed{int v;ll w;};
vector<ed>g[201000];
const ll I=1e18;
ll dp[201000][2],dp2[201000][2];
ll a1[201000],a2[201000];
int son[201000];
void dfs(int x){
dp[x][0]=0;
ll m1=I,m2=I+1;
for(ed t:g[x])if(f[x]!=t.v){
int v=t.v;ll w=t.w;aw[v]=t.w;f[v]=x,dfs(v);
ll m=max(dp[v][1]+w,dp[v][0]);
dp[x][0]+=m,m-=(dp[v][0]+w);
if(m<m1)m2=m1,m1=m,son[x]=v;
else if(m<m2)m2=m;
}
a1[x]=m1,a2[x]=m2,dp[x][1]=dp[x][0]-a1[x];
}
void dfs2(int x){
for(ed t:g[x])if(t.v!=f[x]){
int v=t.v,w=t.w;
dp2[v][0]=dp[x][0]-max(dp[v][1]+w,dp[v][0]);
if(x>1)dp2[v][0]+=max(dp2[x][1]+aw[x],dp2[x][0]);
ll M=((son[x]==v)?a2[x]:a1[x]);
if(x>1)M=min(M,max(dp2[x][1]+aw[x],dp2[x][0])-(dp2[x][0]+aw[x]));
dp2[v][1]=dp2[v][0]-M;
dfs2(v);
}
}
int main(){
scanf("%d",&n);
for(int i=1,u,v,w;i<n;i++){
scanf("%d%d%d",&u,&v,&w);
g[u].push_back((ed){v,w});
g[v].push_back((ed){u,w});
}
dfs(1);
dfs2(1);
ll ans=-I;
for(int i=1;i<=n;i++){
ll at=dp[i][0];
if(i>1)at+=max(dp2[i][0],dp2[i][1]+aw[i]);
ans=max(ans,at);
}
return printf("%lld",ans),0;
}
Compilation message (stderr)
beads.cpp: In function 'int main()':
beads.cpp:36:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
36 | scanf("%d",&n);
| ~~~~~^~~~~~~~~
beads.cpp:38:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
38 | scanf("%d%d%d",&u,&v,&w);
| ~~~~~^~~~~~~~~~~~~~~~~~~
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