#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pii = pair<int, int>;
#define pb push_back
#define ff first
#define ss second
#define node tuple<double, int, int>
const double inf = 1e15;
double solve(int n, int m, int k, int h, vector<int> x, vector<int> y, vector<int> c, vector<int> arr){
    vector<pii> g[n + 1];
    for (int i = 0; i < m; i++){
        x[i]++; y[i]++;
        g[x[i]].pb({y[i], c[i]});
        g[y[i]].pb({x[i], c[i]});
    }
    arr.insert(arr.begin(), 0); h++;
    
    vector<vector<double>> dp(n + 1, vector<double>(k + 1, inf));
    priority_queue<node, vector<node>, greater<node>> pq;
    dp[1][0] = 0; pq.push({0, 1, 0});
    while (!pq.empty()){
        node f = pq.top(); pq.pop();
        auto [d, v, x] = f;
        if (v == h) continue;
        for (auto [u, w]: g[v]){
            if (arr[u] == 0){
                if (dp[u][x] > 0){
                    dp[u][x] = 0;
                    pq.push({0, u, x});
                }
            }
            else if (arr[u] == 1){
                double dist = d + w;
                if (dist < dp[u][x]){
                    dp[u][x] = dist;
                    pq.push({dist, u, x});
                }
            }
            else {
                double dist = d + w;
                if (dist < dp[u][x]){
                    dp[u][x] = dist;
                    pq.push({dist, u, x});
                }
                dist /= 2;
                if (x < k && dist < dp[u][x + 1]){
                    dp[u][x + 1] = dist;
                    pq.push({dist, u, x + 1});
                }
            }
        }
    }
    double out = inf;
    for (int i = 0; i <= k; i++){
        out = min(out, dp[h][i]);
    }
    return (out == inf) ? -1 : out;
}
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