struct DIJ {
using i64 = long long;
using PII = pair<i64, i64>;
vector<i64> dis, path, node;
vector<vector<array<int, 3>>> G;
int n;
DIJ() {}
DIJ(int n): n(n) {
node.resize(n + 1, 1);
dis.assign(n + 1, 1e18);
G.resize(n + 1);
path.resize(n + 1, -1);
}
//val为权重值,要求最短路径结点数最小时即为1
void add(int u, int v, int w, int val) {
G[u].push_back({v, w, val});
}
void dijkstra(int s) {
priority_queue<PII> que;
dis[s] = 0;
que.push({0, s});
while (!que.empty()) {
auto p = que.top();
que.pop();
int u = p.second;
if (dis[u] < p.first) continue;
for (auto [v, w, val] : G[u]) {
if (dis[v] > dis[u] + w) {
node[v] = node[u] + val;
dis[v] = dis[u] + w;
que.push({ -dis[v], v});
path[v] = u;
} else if (dis[v] == dis[u] + w) {
if (node[v] > node[u] + val) {
node[v] = node[u] + val;
path[v] = u;
}
}
}
}
}
};