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/simple/dijkstra.hpp"
#include "../src/graph/Read-Weighted-Graph.hpp"
int main() {
int v, e, r; std::cin >> v >> e >> r;
const long long inf = 1e15;
auto G = zawa::read_weighted_graph<long long>(v, e, false, false);
auto table = zawa::dijkstra<long long>(G, r, inf);
for (auto ans : table) {
if (ans == inf) {
std::cout << "INF" << std::endl;
}
else {
std::cout << ans << std::endl;
}
}
}
#line 1 "test/simple-dijkstra1.test.cpp"
#define PROBLEM "https://onlinejudge.u-aizu.ac.jp/courses/library/5/GRL/1/GRL_1_A"
#line 2 "src/graph/simple/dijkstra.hpp"
#include <vector>
#include <queue>
#include <utility>
#include <limits>
namespace zawa {
template <class cost_type>
std::vector<cost_type> dijkstra(const std::vector<std::vector<std::pair<int, cost_type>>>& G,
int s, cost_type inf = std::numeric_limits<cost_type>::max()) {
std::vector<cost_type> res(G.size(), inf);
res[s] = 0;
std::priority_queue<
std::pair<cost_type, int>,
std::vector<std::pair<cost_type, int>>,
std::greater<std::pair<cost_type, int>>
> que;
que.push({ 0, s });
while (que.size()) {
auto [d, v] = que.top();
que.pop();
if (d > res[v]) {
continue;
}
for (auto [x, w] : G[v]) {
if (res[x] > d + w) {
res[x] = d + w;
que.push({ d + w, x });
}
}
}
return res;
}
} // namespace zawa
#line 2 "src/graph/Read-Weighted-Graph.hpp"
#line 5 "src/graph/Read-Weighted-Graph.hpp"
#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 5 "test/simple-dijkstra1.test.cpp"
int main() {
int v, e, r; std::cin >> v >> e >> r;
const long long inf = 1e15;
auto G = zawa::read_weighted_graph<long long>(v, e, false, false);
auto table = zawa::dijkstra<long long>(G, r, inf);
for (auto ans : table) {
if (ans == inf) {
std::cout << "INF" << std::endl;
}
else {
std::cout << ans << std::endl;
}
}
}