#include "cyberland.h"
#include <bits/stdc++.h>
#include <vector>
using namespace std;
struct node{
int x,y;
double v;
bool operator < (const node& P)const{
return P.v > v;
}
};
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) {
vector<vector<pair<int,int>>>adj(N);
for (int i = 0;i<M;++i){
adj[x[i]].push_back({y[i],c[i]});
adj[y[i]].push_back({x[i],c[i]});
}
K = min(100,K);
priority_queue<node>q;
q.push({0,K,0});
vector<vector<double>>dist(N,vector<double>(K + 1,1e12));
dist[0][K] = 0;
while(!q.empty()){
auto u = q.top();
q.pop();
if (u.x == H)continue;
if (u.v != dist[u.x][u.y])continue;
for (auto x:adj[u.x]){
long long v = x.second;
if (arr[x.first] == 0){
v = -dist[u.x][u.y];
}
if (dist[x.first][u.y] > dist[u.x][u.y] + v){
dist[x.first][u.y] = dist[u.x][u.y] + v;
q.push({x.first,u.y,dist[x.first][u.y]});
}
if (arr[x.first] == 2 && u.y > 0){
if (dist[x.first][u.y - 1] > (dist[u.x][u.y] + x.second)/2){
dist[x.first][u.y - 1] = (dist[u.x][u.y] + x.second)/2;
q.push({x.first,u.y - 1,dist[x.first][u.y - 1]});
}
//nx = dist[u.first][u.second] + x.second)/2 + 2 * vx) / 2 + 2 * vx ) / 2
}
}
}
double ans = 1e12;
for (int i = 0;i<=K;++i){
ans = min(ans,dist[H][i]);
}
if (ans == 1e12)return -1;
return ans;
}
