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 <stdio.h>
#include <algorithm>
#include <vector>
using namespace std;
int N,M; long long K;
int x[100001],y[100001],c[100001],chk[100001]; bool fb[100001],ca[100001];
vector<int> g[100001];
int q[100001],z[100001],d[100001],e[100001],f[100001],sz[100001],sp[100001];
pair<vector<int>, long long> over(int s, int dist)
{
int n = 0, h = 0;
q[h] = s; d[h] = 0; h++; chk[s] = s;
while (n < h){
int u = q[n], w = d[n]; n++;
for (int t=0,i;t<g[u].size();t++) if (!fb[i=g[u][t]]){
int v = (u == x[i]) ? y[i] : x[i];
if (chk[v] != s){
q[h] = v; d[h] = (w+c[i]); h++; chk[v] = s;
}
}
}
int dif = 2*n; int st = q[0];
for (int i=n-1;i>=0;i--){
int u = q[i]; z[i] = 1;
int mx = 0;
for (int t=0,j;t<g[u].size();t++) if (!fb[j=g[u][t]]){
int v = (u == x[j]) ? y[j] : x[j];
if (chk[v] != s){
z[i] += z[-chk[v]];
mx = max(mx,z[-chk[v]]);
}
}
mx = max(mx,n-z[i]);
if (dif > mx) st = u, dif = mx;
chk[u] = -i;
}
pair<vector<int>, long long> ret;
for (int i=0;i<n;i++) if (ca[q[i]]) ret.first.push_back(d[i]);
sort(ret.first.begin(),ret.first.end());
ret.second = 0;
vector<int> ad; int last=0,cnt=0;
for (int t=0,i;t<g[st].size();t++) if (!fb[i=g[st][t]]) fb[i] = 1, ad.push_back(i);
vector<pair<vector<int>, long long> > a;
for (int t=0;t<ad.size();t++) a.push_back(over(st==x[ad[t]]?y[ad[t]]:x[ad[t]],dist));
for (int t=0;t<ad.size();t++){
int o = c[ad[t]];
for (int r=0;r<a[t].first.size();r++){
e[last] = a[t].first[r] + o;
if (ca[st] && e[last] <= dist) ret.second++;
last++;
}
sz[cnt++] = a[t].first.size();
ret.second += a[t].second;
} a.clear();
for (int i=1;i<cnt;i++) sp[i] = sz[i-1] + sp[i-1];
for (int t=0;t<ad.size();t++) fb[ad[t]] = 0;
while (cnt > 1){
int ncnt=0;
for (int k=0;k<cnt;k+=2){
if (k + 1 == cnt){sz[ncnt++] = sz[k]; break;}
for (int i=0,j=sz[k+1]-1;i<sz[k];i++){
while (j >= 0 && e[i+sp[k]] + e[j+sp[k+1]] > dist) j--;
ret.second += j + 1;
}
int i=0,j=0,p=0;
while (i<sz[k] && j<sz[k+1]){
if (e[sp[k]+i] < e[sp[k+1]+j])
f[p++] = e[sp[k]+i++];
else
f[p++] = e[sp[k+1]+j++];
}
while (i<sz[k]) f[p++] = e[sp[k]+i++];
while (j<sz[k+1]) f[p++] = e[sp[k+1]+j++];
sz[ncnt] = sz[k] + sz[k+1];
for (int p=0;p<sz[ncnt];p++) e[sp[k] + p] = f[p];
ncnt++;
}
cnt = ncnt;
for (int i=1;i<cnt;i++) sp[i] = sz[i-1] + sp[i-1];
}
return ret;
}
int main()
{
scanf ("%d %d %lld",&N,&M,&K);
for (int i=2;i<=N;i++){
scanf ("%d %d",&y[i],&c[i]); x[i] = i;
g[x[i]].push_back(i);
g[y[i]].push_back(i);
}
while (M--){
int v; scanf ("%d",&v);
ca[v] = 1;
}
int l = 1, r = 250 * N, m, a = -1;
while (l <= r){
m = (l + r) / 2;
if (over(1,m).second >= K){
r = m - 1;
a = m;
}
else l = m + 1;
}
printf ("%d\n",a);
return 0;
}
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