# | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
---|---|---|---|---|---|---|---|
1261004 | hickwhither | 경주 (Race) (IOI11_race) | C++20 | 0 ms | 0 KiB |
#define mocua(inp, out) if(fopen(inp,"r")){freopen(inp,"r",stdin);freopen(out,"w",stdout);}
#include <iostream>
#include <cstdint>
#include <climits>
#include <vector>
#include <cstring>
using namespace std;
int numNode, desiredLength;
vector<int> e[int(2e5+3)];
vector<pair<int,int>> elen[int(2e5+3)];
bool removed[int(2e5+3)];
int sz[int(2e5+3)];
int depth[int(2e5+3)];
void calsize(int u, int p=-1){
sz[u] = 1;
for(int &v : e[u])
if(!removed[v] && v!=p){
depth[v] = depth[u]+1;
calsize(v, u);
sz[u] += sz[v];
}
}
int find_centroid(int targetsize, int u, int p=-1){
for(int &v : e[u])
if(!removed[v] && v!=p){
if(sz[v] > targetsize) return find_centroid(targetsize, v, u);
}
return u;
}
const int LIM = 1e6;
int mp[LIM+3];
int ans = 1e9+69;
int length[int(2e5+3)];
void progress(bool isUpd, int u, int p=-1){
if(isUpd) mp[length[u]] = min(mp[length[u]], depth[u]);
else{
int f = desiredLength - length[u];
if(f>=0)
ans = min(ans, mp[f]+depth[u]);
// cout << u << ' ' << length[u] << ' ' << mp[f] << '+' << depth[u] << '\n';
}
for(auto &[v,w] : elen[u])
if(!removed[v] && v!=p){
length[v] = length[u] + w;
progress(isUpd, v, u);
}
}
void centroid_decomp(int u=0){
depth[u] = 0;
calsize(u);
u = find_centroid(sz[u]>>1, u);
removed[u] = 1;
// cout << "CENTROID " << u << '\n';
memset(mp, 0x3f, sizeof mp);
mp[0] = 0;
for(auto &[v,w] : elen[u])
if(!removed[v]){
length[v] = w;
progress(0, v);
progress(1, v);
}
for(int &v : e[u])
if(!removed[v])
centroid_decomp(v);
}
int best_path(int _numNode, int _desiredLength, int edge[][2], int edgeLength[]){
numNode = _numNode;
desiredLength = _desiredLength;
for(int i=0; i<numNode-1; ++i){
e[edge[i][0]].emplace_back(edge[i][1]);
e[edge[i][1]].emplace_back(edge[i][0]);
elen[edge[i][0]].emplace_back(edge[i][1], edgeLength[i]);
elen[edge[i][1]].emplace_back(edge[i][0], edgeLength[i]);
}
centroid_decomp();
return (ans==1e9+69 ? -1 : ans);
}
int edge[int(2e5+3)][2];
int edgeLength[int(2e5+3)];
signed main()
{
cin.tie(0) -> sync_with_stdio(0);
int n, k;
cin >> n >> k;
for(int i=0, u, v; i<n-1; ++i) cin >> edge[i][0] >> edge[i][1];
for(int i=0; i<n-1; ++i) cin >> edgeLength[i];
cout << best_path(n, k, edge, edgeLength);
return 0;
}