#include "swap.h"
#include <bits/stdc++.h>
using namespace std;
const int MN = 2e5 + 5;
const int INF = 1e9 + 10;
int n, m;
int par[MN], sz[MN], large[MN];
vector<tuple<int, int, int>> edges; // <u, v, w>
vector<vector<int>> g;
vector<int> deg, maxDeg;
vector<bool> av, inPath, vis, cyc;
int boss(int u)
{
if (par[u] == u)
return u;
return par[u] = boss(par[u]);
}
void merge(int e)
{
auto [u, v, w] = edges[e];
deg[u]++, deg[v]++;
maxDeg[boss(u)] = max(maxDeg[boss(u)], deg[u]);
maxDeg[boss(v)] = max(maxDeg[boss(v)], deg[v]);
u = boss(u), v = boss(v);
if (u == v)
{
cyc[u] = true;
return;
}
if (sz[u] > sz[v])
swap(u, v);
par[u] = v;
sz[v] += sz[u];
maxDeg[v] = max(maxDeg[v], maxDeg[u]);
cyc[v] = cyc[u] || cyc[v];
}
void init(int N, int M, vector<int> U, vector<int> V, vector<int> W)
{
n = N, m = M;
for (int i = 0; i < m; i++)
{
edges.push_back({W[i], U[i], V[i]});
}
sort(edges.begin(), edges.end());
g.resize(n);
for (int i = 0; i < m; i++)
{
auto [u,v,w] = edges[i];
g[u].push_back(i);
g[v].push_back(i);
}
}
int getMinimumFuelCapacity(int X, int Y)
{
int a = X, b = Y;
deg.assign(n, 0);
maxDeg.assign(n, 0);
cyc.assign(n, 0);
for (int i = 0; i < n; i++)
par[i] = i,
sz[i] = 1;
for (int i = 0; i < m; i++)
{
merge(i);
if (boss(a) == boss(b) && (maxDeg[boss(a)] >= 3 || cyc[boss(a)]))
return get<0>(edges[i]);
}
return -1;
}
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