#define DEBUG 0
#include <bits/stdc++.h>
using namespace std;
#if DEBUG
// basic debugging macros
int __i__,__j__;
#define printLine(l) for(__i__=0;__i__<l;__i__++){cout<<"-";}cout<<endl
#define printLine2(l,c) for(__i__=0;__i__<l;__i__++){cout<<c;}cout<<endl
#define printVar(n) cout<<#n<<": "<<n<<endl
#define printArr(a,l) cout<<#a<<": ";for(__i__=0;__i__<l;__i__++){cout<<a[__i__]<<" ";}cout<<endl
#define print2dArr(a,r,c) cout<<#a<<":\n";for(__i__=0;__i__<r;__i__++){for(__j__=0;__j__<c;__j__++){cout<<a[__i__][__j__]<<" ";}cout<<endl;}
#define print2dArr2(a,r,c,l) cout<<#a<<":\n";for(__i__=0;__i__<r;__i__++){for(__j__=0;__j__<c;__j__++){cout<<setw(l)<<setfill(' ')<<a[__i__][__j__]<<" ";}cout<<endl;}
// advanced debugging class
// debug 1,2,'A',"test";
class _Debug {
public:
template<typename T>
_Debug& operator,(T val) {
cout << val << endl;
return *this;
}
};
#define debug _Debug(),
#else
#define printLine(l)
#define printLine2(l,c)
#define printVar(n)
#define printArr(a,l)
#define print2dArr(a,r,c)
#define print2dArr2(a,r,c,l)
#define debug
#endif
// define
#define MAX_VAL 999999999
#define MAX_VAL_2 999999999999999999LL
#define EPS 1e-6
#define mp make_pair
#define pb push_back
// typedef
typedef unsigned int UI;
typedef long long int LLI;
typedef unsigned long long int ULLI;
typedef unsigned short int US;
typedef pair<int,int> pii;
typedef pair<LLI,LLI> plli;
typedef vector<int> vi;
typedef vector<LLI> vlli;
typedef vector<pii> vpii;
typedef vector<plli> vplli;
// ---------- END OF TEMPLATE ----------
int m;
struct edge { int u,v,w; };
bool comp(edge a,edge b) {
return a.w < b.w;
}
edge edges[200000];
int deg[100000];
int parent[100000],r[100000],parentt[100000],goodt[100000];
int find(int n) {
if (parent[n] == n) return n;
else return find(parent[n]);
}
void init(int N,int M,vector<int> U,vector<int> V,vector<int> W) {
int i;
m = M;
for (i = 0; i < M; i++) edges[i] = (edge){U[i],V[i],W[i]};
sort(edges,edges+M,comp);
for (i = 0; i < N; i++) parent[i] = i,r[i] = 1,parentt[i] = goodt[i] = M;
for (i = 0; i < M; i++) {
int u = find(edges[i].u),v = find(edges[i].v);
deg[edges[i].u]++,deg[edges[i].v]++;
if (u != v) {
if (r[u] > r[v]) swap(u,v);
parent[u] = v,parentt[u] = i;
if (goodt[u] < M) goodt[v] = min(goodt[v],i);
if (r[u] == r[v]) r[v]++;
}
if ((u == v) || (deg[edges[i].u] >= 3) || (deg[edges[i].v] >= 3)) goodt[v] = min(goodt[v],i);
}
}
int getMinimumFuelCapacity(int X,int Y) {
int l = 0,r = m;
while (l < r) {
int mid = (l+r) / 2;
int u = X,v = Y;
while (parentt[u] <= mid) u = parent[u];
while (parentt[v] <= mid) v = parent[v];
if ((u == v) && (goodt[u] <= mid)) r = mid;
else l = mid+1;
}
return (l == m) ? -1:edges[l].w;
}
