This documentation is automatically generated by online-judge-tools/verification-helper
#define PROBLEM "http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=GRL_1_A"
#include <iostream>
#include <iomanip>
#include <string>
#include <vector>
using namespace std;
using lint = long long;
constexpr lint LINF = 1LL << 60;
#include "../../src/Dijkstra.hpp"
struct init {
init() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(10);
}
} init_;
int main() {
int N, M, s;
cin >> N >> M >> s;
vector<vector<Edge<lint>>> edges(N);
for (int i = 0; i < M; i++) {
int u, v, c;
cin >> u >> v >> c;
edges[u].emplace_back(v, c);
}
for (const auto &cost : Dijkstra(edges, s)) {
cout << (cost < LINF ? to_string(cost) : "INF") << '\n';
}
return 0;
}
#line 1 "test/aoj/GRL_1_A.test.cpp"
#define PROBLEM "http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=GRL_1_A"
#include <iostream>
#include <iomanip>
#include <string>
#include <vector>
using namespace std;
using lint = long long;
constexpr lint LINF = 1LL << 60;
#line 2 "src/Dijkstra.hpp"
#line 4 "src/Dijkstra.hpp"
#include <algorithm>
#include <queue>
#line 2 "src/chmin.hpp"
template<class T>
inline bool chmin(T &a, const T b) { return a > b && (a = b, true); }
#line 2 "src/Edge.hpp"
template<class T>
struct Edge {
int from{}, to{};
T cost;
Edge() = default;
Edge(int to, T cost) : to(to), cost(move(cost)) {}
Edge(int from, int to, T cost) : from(from), to(to), cost(move(cost)) {}
bool operator>(const Edge &r) const { return this->cost > r.cost; }
};
#line 9 "src/Dijkstra.hpp"
using namespace std;
template<class T>
vector<T> Dijkstra(const vector<vector<Edge<T>>> &edges, const int st) {
const int V = (int)edges.size();
const T inf = numeric_limits<T>::max() / 2;
vector<T> cost(V, inf);
cost[st] = 0;
priority_queue <Edge<T>, vector<Edge<T>>, greater<>> pq;
pq.emplace(st, cost[st]);
while (!pq.empty()) {
Edge<T> now(pq.top().to, pq.top().cost);
pq.pop();
if (cost[now.to] < now.cost) continue;
for (const Edge<T> &e : edges[now.to]) {
T tmp_cost = now.cost + e.cost;
if (chmin(cost[e.to], tmp_cost)) {
pq.emplace(e.to, cost[e.to]);
}
}
}
return cost; // min cost to vertex idx from st
}
#line 14 "test/aoj/GRL_1_A.test.cpp"
struct init {
init() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(10);
}
} init_;
int main() {
int N, M, s;
cin >> N >> M >> s;
vector<vector<Edge<lint>>> edges(N);
for (int i = 0; i < M; i++) {
int u, v, c;
cin >> u >> v >> c;
edges[u].emplace_back(v, c);
}
for (const auto &cost : Dijkstra(edges, s)) {
cout << (cost < LINF ? to_string(cost) : "INF") << '\n';
}
return 0;
}