This documentation is automatically generated by online-judge-tools/verification-helper
#define PROBLEM "https://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=GRL_1_A"
#include "../../template.hpp"
#include "../test_utils.hpp"
#include "../../graph/spfa.hpp"
#include "../../graph/edge_types.hpp"
const int MN = 1e5 + 1;
int N, M, s;
vector<pair<int, ll>> g[MN];
int main() {
fast_io();
N = readi(); M = readi(); s = readi()+1;
for (int i = 0; i < M; i++) {
int a = readi()+1, b = readi()+1, w = readi();
g[a].eb(b, w);
}
auto res = spfa<vector<pair<int, ll>>[MN], WeightedEdge<ll>>(N, g, {s}, LLINF);
for (int i = 1; i <= N; i++) {
if (res[i] == LLINF) print("INF");
else print(res[i]);
}
}
#line 1 "tests/graph/spfa.test.cpp"
#define PROBLEM "https://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=GRL_1_A"
#line 2 "template.hpp"
#include <bits/stdc++.h>
#define DEBUG 1
using namespace std;
// Defines
#define fs first
#define sn second
#define pb push_back
#define eb emplace_back
#define mpr make_pair
#define mtp make_tuple
#define all(x) (x).begin(), (x).end()
// Basic type definitions
#if __cplusplus == 201703L // CPP17 only things
template <typename T> using opt_ref = optional<reference_wrapper<T>>; // for some templates
#endif
using ll = long long; using ull = unsigned long long; using ld = long double;
using pii = pair<int, int>; using pll = pair<long long, long long>;
#ifdef __GNUG__
// PBDS order statistic tree
#include <ext/pb_ds/assoc_container.hpp> // Common file
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
template <typename T, class comp = less<T>> using os_tree = tree<T, null_type, comp, rb_tree_tag, tree_order_statistics_node_update>;
template <typename K, typename V, class comp = less<K>> using treemap = tree<K, V, comp, rb_tree_tag, tree_order_statistics_node_update>;
// HashSet
#include <ext/pb_ds/assoc_container.hpp>
template <typename T, class Hash> using hashset = gp_hash_table<T, null_type, Hash>;
template <typename K, typename V, class Hash> using hashmap = gp_hash_table<K, V, Hash>;
const ll RANDOM = chrono::high_resolution_clock::now().time_since_epoch().count();
struct chash { ll operator()(ll x) const { return x ^ RANDOM; } };
#endif
// More utilities
int SZ(string &v) { return v.length(); }
template <typename C> int SZ(C &v) { return v.size(); }
template <typename C> void UNIQUE(vector<C> &v) { sort(v.begin(), v.end()); v.resize(unique(v.begin(), v.end()) - v.begin()); }
template <typename T, typename U> void maxa(T &a, U b) { a = max(a, b); }
template <typename T, typename U> void mina(T &a, U b) { a = min(a, b); }
const ll INF = 0x3f3f3f3f, LLINF = 0x3f3f3f3f3f3f3f3f;
#line 3 "tests/test_utils.hpp"
// I/O
template <typename T> void print(T v) {
cout << v << '\n';
}
template <typename T, typename... Rest> void print(T v, Rest... vs) {
cout << v << ' ';
print(vs...);
}
void fast_io() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
}
// Reading operators
template <typename T, typename U> istream& operator>>(istream& in, pair<T, U> &o) {
return in >> o.first >> o.second;
}
// Read helpers
int readi() {
int x; cin >> x;
return x;
}
ll readl() {
ll x; cin >> x;
return x;
}
template <typename T> vector<T> readv(int n) {
vector<T> res(n);
for (auto &x : res) cin >> x;
return res;
}
// Functional stuff
template <typename T> vector<pair<int, T>> enumerate(vector<T> v, int start = 0) {
vector<pair<int, T>> res;
for (auto &x : v)
res.emplace_back(start++, x);
return res;
}
#line 3 "graph/spfa.hpp"
template <typename GraphType, typename EdgeType> vector<typename EdgeType::WeightType> spfa(int N, GraphType &g, initializer_list<int> start, typename EdgeType::WeightType initDis) {
static EdgeType E;
using w_t = typename EdgeType::WeightType;
vector<w_t> dis(N+1, initDis);
vector<int> inq(N+1, false);
queue<int> q;
for (auto s : start) {
q.push(s);
dis[s] = 0;
inq[s] = false;
}
while (!q.empty()) {
int c = q.front(); q.pop();
inq[c] = false;
for (auto _to : g[c]) {
int to = E.v(_to); w_t alt = dis[c] + E.w(_to);
if (alt < dis[to]) {
dis[to] = alt;
if (!inq[to]) {
inq[to] = true;
q.push(to);
}
}
}
}
return dis;
}
#line 3 "graph/edge_types.hpp"
struct Edge {
using EdgeType = int;
int v(EdgeType e) { return e; }
int w(EdgeType e) { return 1; }
int i(EdgeType e) { throw domain_error("no information on edge indices"); }
EdgeType swapNode(EdgeType e, int v) { return v; }
};
template <typename T> struct WeightedEdge {
using EdgeType = pair<int, T>; using WeightType = T;
int v(EdgeType e) { return e.first; }
T w(EdgeType e) { return e.second; }
int i(EdgeType e) { throw domain_error("no information on edge indices"); }
EdgeType swapNode(EdgeType e, int v) { return {v, w(e)}; }
};
struct IndexedEdge {
using EdgeType = pair<int, int>;
int v(EdgeType e) { return e.first; }
int w(EdgeType e) { return 1; }
int i(EdgeType e) { return e.second; }
EdgeType swapNode(EdgeType e, int v) { return {v, i(e)}; }
};
template <typename T> struct WeightedIndexedEdge {
using EdgeType = tuple<int, T, int>; using WeightType = T;
int v(EdgeType e) { return get<0>(e); }
T w(EdgeType e) { return get<1>(e); }
int i(EdgeType e) { return get<2>(e); }
EdgeType swapNode(EdgeType e, int v) { return {v, w(e), i(e)}; }
};
#line 6 "tests/graph/spfa.test.cpp"
const int MN = 1e5 + 1;
int N, M, s;
vector<pair<int, ll>> g[MN];
int main() {
fast_io();
N = readi(); M = readi(); s = readi()+1;
for (int i = 0; i < M; i++) {
int a = readi()+1, b = readi()+1, w = readi();
g[a].eb(b, w);
}
auto res = spfa<vector<pair<int, ll>>[MN], WeightedEdge<ll>>(N, g, {s}, LLINF);
for (int i = 1; i <= N; i++) {
if (res[i] == LLINF) print("INF");
else print(res[i]);
}
}