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 "swap.h"
#include <bits/stdc++.h>
using namespace std;
const int maxn = 3e5 + 200;
int extra = 1e5 + 1;
const int lg = 29;
vector <int> ad [maxn];
int deg [maxn];
int dad [maxn];
vector <int> val (maxn, 1e9);
vector <bool> good (maxn, 0);
vector <int> cmp [maxn];
vector <int> depth (maxn);
int up[maxn][lg];
void dfs (int u, int vs) {
if (good[u]) vs = val[u];
val[u] = vs;
for (auto v: cmp[u]) {
depth[v] = depth[u] + 1;
up[v][0] = u;
for (int i = 1; i < lg; i++){
up[v][i] = up[up[v][i-1]][i-1];
}
dfs(v, vs);
}
}
int lca (int x, int y) {
if (depth[x] < depth[y]) {
swap(x, y);
}
int k = depth[x] - depth[y];
for (int i = 0; i < lg; i++){
if (k & (1 << i)) {
x = up[x][i];
}
}
if (x == y) return x;
for (int i = lg - 1; i >= 0; i--) {
if (up[x][i] != up[y][i]) {
x = up[x][i];
y = up[y][i];
}
}
return up[x][0];
}
int get_dad (int x) {
return dad[x] = (dad[x] == x ? x: get_dad(dad[x]));
}
bool propagate (int u) {
for (int v: ad[u]) {
good[u]= good[u] | propagate(v);
}
return good[u];
}
struct edg {
int x,y,cost;
};
bool comp (edg &a, edg &b) {
return a.cost < b.cost;
}
void init(int n, int m, vector<int> u, vector<int> v, vector<int> w) {
vector <edg> eg;
for (int i = 0; i < maxn; i++){
dad[i] = i;
}
for (int i = 0; i < m; i++){
eg.push_back({++u[i], ++v[i], w[i]});
}
sort(eg.begin(), eg.end(), comp);
for (auto [u,v,cost]: eg) {
int p1 = get_dad(u);
int p2 = get_dad(v);
deg[u]++;
deg[v]++;
val[++extra] = cost;
dad[p1] = extra;
dad[p2] = extra;
cmp[extra].push_back(p1);
if (p1 != p2) cmp[extra].push_back(p2);
if (p1 == p2 || deg[u] >= 3 || deg[v] >= 3) {
good[extra] = 1;
}
}
propagate(extra);
dfs(extra, 1e9);
}
int getMinimumFuelCapacity(int x, int y) {
int k = lca(x + 1,y + 1);
if (val[k] == 1e9) return -1;
return val[k];
}
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