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 "../src/graph/Read-Weighted-Graph.hpp"
#include <queue>
int main() {
int n, m, r; std::cin >> n >> m >> r;
auto G = zawa::read_weighted_graph<int>(n, m, false, false);
std::vector dists(n, (1LL << 60));
dists[r] = 0;
std::priority_queue<std::pair<long long, int>> que;
que.emplace(0LL, r);
while (que.size()) {
auto [d, v] = que.top();
d *= -1;
que.pop();
if (d > dists[v]) {
continue;
}
for (auto [x, w] : G[v]) {
if (d + w < dists[x]) {
dists[x] = d + w;
que.emplace(-dists[x], x);
}
}
}
for (auto d : dists) {
if (d == (1LL << 60)) {
std::cout << "INF" << std::endl;
}
else {
std::cout << d << std::endl;
}
}
}
#line 1 "test/Read-Weighted-Graph.test.cpp"
#define PROBLEM "https://onlinejudge.u-aizu.ac.jp/courses/library/5/GRL/1/GRL_1_A"
#line 2 "src/graph/Read-Weighted-Graph.hpp"
#include <utility>
#include <vector>
#include <iostream>
namespace zawa {
template <typename T>
std::vector<std::vector<std::pair<int, T>>> read_weighted_graph(int n, int m, bool undirect = true, bool minus = true) {
std::vector<std::vector<std::pair<int, T>>> res(n, std::vector(0, std::pair<int, T>()));
for (int _ = 0 ; _ < m ; _++) {
int u, v; std::cin >> u >> v;
T c; std::cin >> c;
res[u - minus].emplace_back(v - minus, c);
if (undirect) {
res[v - minus].emplace_back(u - minus, c);
}
}
return res;
}
template <typename T>
std::vector<std::vector<std::pair<int, T>>> read_weighted_tree(int n, bool undirect = true) {
return read_weighted_graph<T>(n, n - 1, undirect);
}
} // namespace zawa
#line 4 "test/Read-Weighted-Graph.test.cpp"
#include <queue>
int main() {
int n, m, r; std::cin >> n >> m >> r;
auto G = zawa::read_weighted_graph<int>(n, m, false, false);
std::vector dists(n, (1LL << 60));
dists[r] = 0;
std::priority_queue<std::pair<long long, int>> que;
que.emplace(0LL, r);
while (que.size()) {
auto [d, v] = que.top();
d *= -1;
que.pop();
if (d > dists[v]) {
continue;
}
for (auto [x, w] : G[v]) {
if (d + w < dists[x]) {
dists[x] = d + w;
que.emplace(-dists[x], x);
}
}
}
for (auto d : dists) {
if (d == (1LL << 60)) {
std::cout << "INF" << std::endl;
}
else {
std::cout << d << std::endl;
}
}
}