This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// https://oj.uz/problem/view/IOI11_race
#include <bits/stdc++.h>
using namespace std;
vector<vector<pair<int, int>>> adj;
int n, k;
vector<bool> is_rem;
vector<int> sz;
vector<int> distL; //ll
vector<int> dist;
vector<int> k_dist;
vector<int> to_rem;
int sol;
int cont = 0;
void get_sz(int v, int e){
sz[v]=1;
for(auto edge: adj[v]){
int u = edge.first;
if(u==e||is_rem[u]) continue;
get_sz(u, v); sz[v] += sz[u];
}
return;
}
void get_dist(int v, int e){
if(distL[v]<=k){
k_dist[distL[v]] = min(k_dist[distL[v]], dist[v]);
}
to_rem[cont++]=v;
for(auto edge: adj[v]){
int u = edge.first;
if(u==e||is_rem[u]) continue;
dist[u]=dist[v]+1;
distL[u]=distL[v]+edge.second;
get_dist(u, v);
}
return;
}
int find_centr(int v, int e, int siz){
for(auto edge: adj[v]){
int u = edge.first;
if(u==e||is_rem[u]) continue;
if(sz[u] > siz/2) return find_centr(u, v, siz);
}
return v;
}
void decompose(int v, int siz){
get_sz(v, v);
int c = find_centr(v, v, siz);
dist[c]=0; distL[c]=0;
k_dist[0]=0;
cont = 0;
get_dist(c, c);
for(int i = 0; i<siz; i++){
if(distL[to_rem[i]]<=k){
if(k_dist[k-distL[to_rem[i]]]!=INT_MAX){
sol = min(sol, k_dist[k-distL[to_rem[i]]]+k_dist[distL[to_rem[i]]]);
}
k_dist[distL[to_rem[i]]]=INT_MAX;
}
}
is_rem[c]=1;
for(auto edge: adj[v]){
int u = edge.first;
if(is_rem[u]) continue;
decompose(u, siz-1);
}
}
int best_path(int N, int K, int H[][2], int L[]){
n = N; k = K;
adj.resize(N);
sz.resize(n);
is_rem.resize(n, 0);
distL.resize(n);
dist.resize(n);
k_dist.resize(k+1, INT_MAX);
to_rem.resize(n);
sol = INT_MAX;
for(int i = 0; i<n-1; i++){
adj[H[i][0]].push_back({H[i][1], L[i]});
adj[H[i][1]].push_back({H[i][0], L[i]});
}
decompose(0, n);
return (sol==INT_MAX ? -1 : sol);
}
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