This documentation is automatically generated by online-judge-tools/verification-helper
#define PROBLEM "https://onlinejudge.u-aizu.ac.jp/courses/library/5/GRL/1/GRL_1_A"
#include "../Graph/dijkstra.hpp"
#include <iostream>
int main() {
std::cin.tie();
std::ios::sync_with_stdio(false);
int n, m, s;
std::cin >> n >> m >> s;
Graph<int> graph(n);
while (m--) {
int u, v, d;
std::cin >> u >> v >> d;
graph.span(true, u, v, d);
}
auto dist = dijkstra(graph, s);
for (auto d : dist) {
if (d == -1) {
std::cout << "INF";
} else {
std::cout << d;
}
std::cout << "\n";
}
return 0;
}#line 1 "Verify/dijkstra.test.cpp"
#define PROBLEM "https://onlinejudge.u-aizu.ac.jp/courses/library/5/GRL/1/GRL_1_A"
#line 2 "Graph/dijkstra.hpp"
#line 2 "Tools/heap_alias.hpp"
#include <queue>
template <class T>
using MaxHeap = std::priority_queue<T>;
template <class T>
using MinHeap = std::priority_queue<T, std::vector<T>, std::greater<T>>;
#line 2 "Graph/graph.hpp"
#include <vector>
template <class Cost = int>
struct Edge {
int src, dst;
Cost cost;
Edge() = default;
Edge(int src, int dst, Cost cost = 1)
: src(src), dst(dst), cost(cost){};
bool operator<(const Edge<Cost>& e) const { return cost < e.cost; }
bool operator>(const Edge<Cost>& e) const { return cost > e.cost; }
};
template <class Cost = int>
struct Graph : public std::vector<std::vector<Edge<Cost>>> {
using std::vector<std::vector<Edge<Cost>>>::vector;
void span(bool direct, int src, int dst, Cost cost = 1) {
(*this)[src].emplace_back(src, dst, cost);
if (!direct) (*this)[dst].emplace_back(dst, src, cost);
}
};
#line 5 "Graph/dijkstra.hpp"
template <class Cost>
std::vector<Cost> dijkstra(const Graph<Cost>& graph, int s) {
std::vector<Cost> dist(graph.size(), -1);
dist[s] = 0;
MinHeap<std::pair<Cost, int>> que;
que.emplace(0, s);
while (!que.empty()) {
auto [d, v] = que.top();
que.pop();
if (d > dist[v]) continue;
for (const auto& e : graph[v]) {
if (dist[e.dst] != -1 &&
dist[e.dst] <= dist[v] + e.cost) continue;
dist[e.dst] = dist[v] + e.cost;
que.emplace(dist[e.dst], e.dst);
}
}
return dist;
}
#line 4 "Verify/dijkstra.test.cpp"
#include <iostream>
int main() {
std::cin.tie();
std::ios::sync_with_stdio(false);
int n, m, s;
std::cin >> n >> m >> s;
Graph<int> graph(n);
while (m--) {
int u, v, d;
std::cin >> u >> v >> d;
graph.span(true, u, v, d);
}
auto dist = dijkstra(graph, s);
for (auto d : dist) {
if (d == -1) {
std::cout << "INF";
} else {
std::cout << d;
}
std::cout << "\n";
}
return 0;
}