This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "cyberland.h"
#include <bits/stdc++.h>
using namespace std;
double solve(int n, int m, int k, int t, vector<int> U, vector<int> V, vector<int> W, vector<int> type) {
k = min(k, 30);
vector<vector<array<int, 2>>> adj(n);
for (int i = 0; i < m; i++) {
auto [u, v, w] = array<int, 3>{U[i], V[i], W[i]};
adj[u].push_back({v, w});
adj[v].push_back({u, w});
}
constexpr double INF = 1e18;
constexpr double EPS = 1e-9;
auto equal = [](double x, double y) -> bool {
return abs(x - y) < EPS;
};
vector<vector<double>> dist(n, vector<double>(k + 1, INF));
dist[t][0] = 0;
priority_queue<pair<double, pair<int, int>>, vector<pair<double, pair<int, int>>>, greater<>> pq;
pq.push(make_pair(dist[t][0], make_pair(0, t)));
while (!pq.empty()) {
auto [d, cu] = pq.top();
auto [c, u] = cu;
pq.pop();
if (!equal(dist[u][c], d)) continue;
for (auto [v, ww] : adj[u]) {
if (v == t) continue;
double w = ww;
w /= (1 << c);
if (d + w + EPS < dist[v][c]) {
dist[v][c] = d + w;
pq.push(make_pair(dist[v][c], make_pair(c, v)));
}
if (type[v] == 2 && c + 1 <= k) {
c++;
if (d + w + EPS < dist[v][c]) {
dist[v][c] = d + w;
pq.push(make_pair(dist[v][c], make_pair(c, v)));
}
c--;
}
}
}
type[0] = 0;
vector<bool> reachable(n, false);
queue<int> que;
reachable[0] = true;
que.push(0);
while (!que.empty()) {
int u = que.front();
que.pop();
for (auto [v, w] : adj[u]) {
if (v == t) continue;
if (!reachable[v]) {
reachable[v] = true;
que.push(v);
}
}
}
double ans = INF;
for (int u = 0; u < n; u++) {
if (reachable[u] && type[u] == 0) {
double val = *min_element(dist[u].begin(), dist[u].end());
ans = min(ans, val);
}
}
if (equal(ans, INF)) {
return -1;
} else {
return ans;
}
}
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