This documentation is automatically generated by online-judge-tools/verification-helper
#define PROBLEM "https://judge.yosupo.jp/problem/shortest_path"
#include "../../graph/dijkstra.hpp"
int main() {
ll n, m, s, t;
cin >> n >> m >> s >> t;
dijkstra<ll_dijkstra> dij(n);
while (m--) {
int a, b, c;
cin >> a >> b >> c;
dij.add_edge(a, b, c);
}
auto [dist, prev] = dij.get(s);
if (prev[t] == -1) {
cout << -1 << endl;
return 0;
}
vll vs{t};
do {
ll back = vs.back();
vs.push_back(prev[back]);
} while (vs.back() != s);
reverse(all(vs));
cout << dist[t] << " " << vs.size() - 1 << endl;
for (ll i : rep(vs.size() - 1)) cout << vs[i] << " " << vs[i + 1] << endl;
}
#line 1 "test/judge.yosupo.jp/Shortest_Path.0.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/shortest_path"
#line 2 "graph/dijkstra.hpp"
#line 2 "template.hpp"
#include <bits/stdc++.h>
using namespace std;
#define all(a) begin(a), end(a)
#define rall(a) rbegin(a), rend(a)
#define uniq(a) (a).erase(unique(all(a)), (a).end())
#define t0 first
#define t1 second
using ll = long long;
using ull = unsigned long long;
using pll = pair<ll, ll>;
using vll = vector<ll>;
constexpr double pi = 3.14159265358979323846;
constexpr ll dy[9] = {0, 1, 0, -1, 1, 1, -1, -1, 0};
constexpr ll dx[9] = {1, 0, -1, 0, 1, -1, -1, 1, 0};
constexpr ll sign(ll a) { return (a > 0) - (a < 0); }
constexpr ll fdiv(ll a, ll b) { return a / b - ((a ^ b) < 0 && a % b); }
constexpr ll cdiv(ll a, ll b) { return -fdiv(-a, b); }
constexpr ll pw(ll n) { return 1ll << n; }
constexpr ll flg(ll n) { return 63 - __builtin_clzll(n); }
constexpr ll clg(ll n) { return n == 1 ? 0 : flg(n - 1) + 1; }
constexpr ll safemod(ll x, ll mod) { return (x % mod + mod) % mod; }
template <typename T> using priority_queue_rev = priority_queue<T, vector<T>, greater<T>>;
template <typename T> constexpr T sq(const T &a) { return a * a; }
template <typename T, typename U> constexpr bool chmax(T &a, const U &b) { return a < b ? a = b, true : false; }
template <typename T, typename U> constexpr bool chmin(T &a, const U &b) { return a > b ? a = b, true : false; }
template <typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &a) {
os << "(" << a.first << ", " << a.second << ")";
return os;
}
template <typename T, typename U, typename V> ostream &operator<<(ostream &os, const tuple<T, U, V> &a) {
os << "(" << get<0>(a) << ", " << get<1>(a) << ", " << get<2>(a) << ")";
return os;
}
template <typename T> ostream &operator<<(ostream &os, const vector<T> &a) {
os << "(";
for (auto itr = a.begin(); itr != a.end(); ++itr) os << *itr << (next(itr) != a.end() ? ", " : "");
os << ")";
return os;
}
template <typename T> ostream &operator<<(ostream &os, const set<T> &a) {
os << "(";
for (auto itr = a.begin(); itr != a.end(); ++itr) os << *itr << (next(itr) != a.end() ? ", " : "");
os << ")";
return os;
}
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &a) {
os << "(";
for (auto itr = a.begin(); itr != a.end(); ++itr) os << *itr << (next(itr) != a.end() ? ", " : "");
os << ")";
return os;
}
template <typename T, typename U> ostream &operator<<(ostream &os, const map<T, U> &a) {
os << "(";
for (auto itr = a.begin(); itr != a.end(); ++itr) os << *itr << (next(itr) != a.end() ? ", " : "");
os << ")";
return os;
}
#ifdef ONLINE_JUDGE
#define dump(...) (void(0))
#else
void debug() { cerr << endl; }
template <typename Head, typename... Tail> void debug(Head &&head, Tail &&... tail) {
cerr << head;
if (sizeof...(Tail)) cerr << ", ";
debug(tail...);
}
#define dump(...) cerr << __LINE__ << ": " << #__VA_ARGS__ << " = ", debug(__VA_ARGS__)
#endif
struct rep {
struct itr {
ll v;
itr(ll v) : v(v) {}
void operator++() { ++v; }
ll operator*() const { return v; }
bool operator!=(itr i) const { return v < *i; }
};
ll l, r;
rep(ll l, ll r) : l(l), r(r) {}
rep(ll r) : rep(0, r) {}
itr begin() const { return l; };
itr end() const { return r; };
};
struct per {
struct itr {
ll v;
itr(ll v) : v(v) {}
void operator++() { --v; }
ll operator*() const { return v; }
bool operator!=(itr i) const { return v > *i; }
};
ll l, r;
per(ll l, ll r) : l(l), r(r) {}
per(ll r) : per(0, r) {}
itr begin() const { return r - 1; };
itr end() const { return l - 1; };
};
struct io_setup {
static constexpr int PREC = 20;
io_setup() {
cout << fixed << setprecision(PREC);
cerr << fixed << setprecision(PREC);
};
} iOS;
#line 4 "graph/dijkstra.hpp"
template <typename S> struct dijkstra {
using D = typename S::D;
using C = typename S::C;
struct edge {
ll to;
C cost;
};
vector<vector<edge>> g;
dijkstra(ll n) : g(n) {}
void add_edge(ll from, ll to, const C &cost) { g[from].push_back({to, cost}); }
pair<vector<D>, vector<ll>> get(ll s, const D &base = D()) const {
vector<D> dist(g.size(), S::inf());
vector<ll> prev(g.size(), -1);
using P = pair<D, ll>;
priority_queue_rev<P> pq;
dist[s] = base;
pq.emplace(base, s);
while (!pq.empty()) {
auto [d, from] = pq.top();
pq.pop();
if (dist[from] < d) continue;
for (auto [to, cost] : g[from]) {
D nd = d + cost;
if (nd < dist[to]) {
dist[to] = nd;
prev[to] = from;
pq.emplace(nd, to);
}
}
}
return {dist, prev};
}
};
struct ll_dijkstra {
using D = ll;
using C = ll;
static D inf() { return LLONG_MAX; }
};
#line 3 "test/judge.yosupo.jp/Shortest_Path.0.test.cpp"
int main() {
ll n, m, s, t;
cin >> n >> m >> s >> t;
dijkstra<ll_dijkstra> dij(n);
while (m--) {
int a, b, c;
cin >> a >> b >> c;
dij.add_edge(a, b, c);
}
auto [dist, prev] = dij.get(s);
if (prev[t] == -1) {
cout << -1 << endl;
return 0;
}
vll vs{t};
do {
ll back = vs.back();
vs.push_back(prev[back]);
} while (vs.back() != s);
reverse(all(vs));
cout << dist[t] << " " << vs.size() - 1 << endl;
for (ll i : rep(vs.size() - 1)) cout << vs[i] << " " << vs[i + 1] << endl;
}