This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// In the Name of Allah
#include<bits/stdc++.h>
using namespace std;
#pragma GCC optimize("Ofast,unroll-loops,fast-math")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4.1,sse4.2,avx,avx2,popcnt,tune=native")
typedef long long ll;
typedef pair<double, int> pd;
#define F first
#define S second
#define pii pair<int, int>
#define pb push_back
#define pp pop_back
#define all(x) x.begin(), x.end()
const int N = 1e5 + 12, K = 76;
vector<pii> g[N];
int n, m, k, h, a[N];
double ans;
bool mrk[N][K]; 
void find_ans() {
	ans = 1e18;
	priority_queue<pd, vector<pd>, greater<pd>> q;
	q.push({0, 0});
	for (int i = 1; i < n; i++)
		if (!a[i])
			q.push({0, i});
	while (!q.empty()) {
		auto tmp = q.top();
		q.pop();
		int u = tmp.S % n, ck = tmp.S / n;
		double w = tmp.F;
		if (u == h)
			ans = min(ans, w);
		if (mrk[u][ck])
			continue;
		mrk[u][ck] = true;
		for (auto i: g[u])
			if (a[i.F] && !mrk[i.F][ck + (a[i.F] == 2)]) { 
				if (a[i.F] == 1)
					q.push({w + i.S, i.F + ck * n});
				else if (ck + 1 <= k)
					q.push({(w + i.S) / 2, i.F + (ck + 1) * n});
			}
	}
	if (ans == 1e18)
		ans = -1;
}
double solve(int ns, int ms, int ks, int hs, vector<int> xs, vector<int> ys, vector<int> ws, vector<int> as) {
	n = ns, m = ms, k = min(ks, 75), h = hs;
	for (int i = 0; i < m; i++)
		g[xs[i]].pb({ys[i], ws[i]}), g[ys[i]].pb({xs[i], ws[i]});
	for (int i = 0; i < n; i++)
		a[i] = as[i];
	find_ans();
	for (int i = 0; i < n; i++) {
		g[i].clear();
		for (int j = 0; j <= k; ++j)
			mrk[i][j] = false;
	}
	return ans;
}
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