#include <bits/stdc++.h>
using namespace std;
using ll = long long;
struct disj {
    int pa[100005];
    void init(int n) { iota(pa, pa + n + 1, 0); }
    int find(int x) { return pa[x] = (pa[x] == x ? x : find(pa[x])); }
    bool uni(int p, int q) {
        p = find(p);
        q = find(q);
        if (p == q)
            return 0;
        pa[q] = p;
        return 1;
    }
} disj;
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<ll,ll>>> adj(N);
    for (int i = 0; i < M; ++i) {
        if (x[i] != H && y[i] != H) disj.uni(x[i], y[i]);
        adj[x[i]].emplace_back(y[i],c[i]);
        adj[y[i]].emplace_back(x[i], c[i]);
    }
    K = min(K, 60);
    vector<vector<double>> dist(N + 10, vector<double>(K + 10, 1e18));
    priority_queue<tuple<double, ll, ll>, vector<tuple<double, ll, ll>>, greater<>> q;
    vector<double> divideBy(K + 1, 1);
    for (int i = 1; i <= K; ++i) {
        divideBy[i] = divideBy[i - 1]/2;
    }
    q.emplace(0, H, 0);
    dist[H][0] = 0;
    while(!q.empty()) {
        double curDistance = get<0>(q.top());
        ll curNode = get<1>(q.top());
        ll curK = get<2>(q.top());
        q.pop();
        if(dist[curNode][curK] < curDistance) continue;
        if((arr[curNode] == 0 || curNode == 0)) return curDistance;
        for(auto [newNode, distance] : adj[curNode]) {
            if (disj.find(newNode) != disj.find(0)) continue;
            double newDistance = curDistance + double(distance) * divideBy[curK];
            if(newDistance < dist[newNode][curK]) {
                dist[newNode][curK] = newDistance;
                q.emplace(newDistance, newNode, curK);
            }
            if(arr[curNode] == 2) {
                if(curK < K) {
                    double betterDistance = curDistance + double(distance) * divideBy[curK + 1];
                    if(betterDistance < dist[newNode][curK + 1]) {
                        dist[newNode][curK + 1] = betterDistance;
                        q.emplace(betterDistance, newNode, curK + 1);
                    }
                }
            }
        }
    }
    return -1;
}
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