#include "cyberland.h"
#include <bits/stdc++.h>
#include <vector>
#define ff first
#define ss second
#define ll long long
#define pp pair<ll,ll>
const double INF=1e18;
using namespace std;
ll h,i,j;
vector<pp> v[200001];
bitset<200005> vis;
priority_queue<pair<pair<double,ll>,ll>> q;
double dp[200001][31],dist;
void dfs(ll a){
if(a==h) return;
if(vis[a]) return;
vis[a]=1;
for(pp l:v[a]){
dfs(l.ff);
}
}
double solve(int N, int M, int K, int H, std::vector<int> x, std::vector<int> y, std::vector<int> c, std::vector<int> arr) {
h=H;
dist=INF;
dfs(1);
for(i=0;i<M;i++){
v[x[i]].push_back({y[i],c[i]});
v[y[i]].push_back({x[i],c[i]});
}
q.push({{(double)0,K},0});
for(i=0;i<N;i++){
if(vis[i] && !arr[i]) q.push({{(double)0,K},i});
for(j=0;j<=K;j++){
dp[i][j]=INF;
}
}
while(!q.empty()){
ll a=q.top().ss;
ll t=q.top().ff.ss;
ll d=q.top().ff.ff;
q.pop();
if(dp[a][t]<INF) continue;
dp[a][t]=-1*d;
for(pp l:v[a]){
q.push({{d-l.ss,t},l.ff});
if(arr[a]==2 && t>0){
q.push({{d/2-l.ss,t-1},l.ff});
}
}
}
vis.reset();
for(i=0;i<N;i++){
v[i].clear();
}
for(j=0;j<=K;j++){
if(dp[H][j]!=INF) dist=min(dist,dp[H][j]);
}
return dist;
}
