This documentation is automatically generated by online-judge-tools/verification-helper
#define PROBLEM \
"https://onlinejudge.u-aizu.ac.jp/courses/lesson/1/ALDS1/12/ALDS1_12_B"
// clang-format off
#include "../template/template.cpp"
#include "../graph/graph-template.cpp"
#include "../graph/dijkstra.cpp"
// clang-format on
void Main() {
int N = in();
Graph<int> graph(N);
rep(i, N) {
int u = in(), k = in();
rep(j, k) {
int v = in(), c = in();
graph.add_directed_edge(u, v, c);
}
}
auto v = dijkstra(graph, 0).dist;
rep(i, N) cout << i << " " << v[i] << endl;
}
#line 1 "test/dijkstra.test.cpp"
#define PROBLEM \
"https://onlinejudge.u-aizu.ac.jp/courses/lesson/1/ALDS1/12/ALDS1_12_B"
// clang-format off
#line 1 "template/template.cpp"
#include <algorithm>
#include <array>
#include <cassert>
#include <cmath>
#include <complex>
#include <cstdint>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
#ifdef _DEBUG
#define DUMP(x) std::cerr << (#x) << " = " << (x) << "\n"
#else
#define DUMP(x)
#endif
#define REP(i, a, b) for (int i = (int)(a); i < (int)(b); ++i)
#define EREP(i, a, b) for (int i = (int)(a); i <= (int)(b); ++i)
#define RREP(i, a, b) for (int i = (int)(a)-1; i >= (int)(b); --i)
#define rep(i, n) REP(i, 0, n)
#define erep(i, n) EREP(i, 0, n)
#define rrep(i, n) RREP(i, n, 0)
#define ALL(r) (r).begin(), (r).end()
#define pb push_back
#define eb emplace_back
#define fi first
#define se second
template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
os << "{";
rep(i, v.size()) os << v[i] << (i == (int)v.size() - 1 ? "" : ", ");
os << "}";
return os;
}
template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &p) {
return (os << "(" << p.first << ", " << p.second << ")");
}
template <typename T, typename U>
ostream &operator<<(ostream &os, const map<T, U> &m) {
bool first = true;
os << "{";
for (const auto &e : m) {
if (!first)
os << ", ";
os << "{" << e.first << ": " << e.second << "}";
first = false;
}
os << "}";
return os;
}
template <typename T>
ostream &operator<<(ostream &os, const set<T> &s) {
os << "{";
bool first = true;
for (const auto &e : s) {
if (!first)
os << ", ";
os << e;
first = false;
}
os << "}";
return os;
}
template <typename T>
ostream &operator<<(ostream &os, const multiset<T> &s) {
os << "{";
bool first = true;
for (const auto &e : s) {
if (!first)
os << ", ";
os << e;
first = false;
}
os << "}";
return os;
}
template <typename T>
T dup(T x, T y) {
return (x + y - 1) / y;
};
template <typename A, size_t N, typename T>
inline void arrayFill(A (&array)[N], const T &val) {
std::fill((T *)array, (T *)(array + N), val);
}
template <class T>
inline bool chmax(T &a, T b) {
if (a < b) {
a = b;
return true;
}
return false;
}
template <class T>
inline bool chmin(T &a, T b) {
if (a > b) {
a = b;
return true;
}
return false;
}
struct in {
const size_t n = 0;
in() = default;
in(size_t n) : n(n){};
template <typename T>
operator T() {
T ret;
cin >> ret;
return ret;
}
template <typename T>
operator vector<T>() {
assert(n != 0);
vector<T> ret(n);
for (T &x : ret) {
T tmp = in();
x = tmp;
}
return ret;
}
template <typename T, typename U>
operator pair<T, U>() {
pair<T, U> ret;
ret.first = in();
ret.second = in();
return ret;
}
};
namespace fiore {
namespace impl {
template <typename T>
inline void out_impl(const T &x, char end_char) {
std::cout << x << end_char;
}
template <typename T>
inline void out_impl(const vector<T> &x, char end_char) {
bool first = true;
for (const auto &e : x) {
if (!first)
std::cout << ' ';
std::cout << e;
first = false;
}
std::cout << end_char;
}
} // namespace impl
} // namespace fiore
template <typename T>
inline void out(const T &x) {
fiore::impl::out_impl(x, '\n');
};
template <typename T, typename U, typename... Args>
inline void out(const T &x, const U &y, const Args &... args) {
fiore::impl::out_impl(x, ' ');
out(y, args...);
}
using ll = int64_t;
using vint = vector<int32_t>;
using vvint = vector<vint>;
using vll = vector<ll>;
using vvll = vector<vll>;
using vstr = vector<string>;
using pint = pair<int32_t, int32_t>;
using vpint = vector<pint>;
using pll = pair<ll, ll>;
using vpll = vector<pll>;
using setint = set<int32_t>;
using qint = queue<int32_t>;
using qpint = queue<pint>;
constexpr std::int32_t INF = 1001001001;
constexpr std::int64_t LINF = 1001001001001001001;
void Main();
signed main() {
std::cin.tie(nullptr);
std::ios_base::sync_with_stdio(false);
std::cout << std::fixed << std::setprecision(15);
Main();
return 0;
}
#line 1 "graph/graph-template.cpp"
template <typename T = int>
struct Edge {
int from, to;
T cost;
int idx;
Edge() = default;
Edge(const int from, const int to, const T cost = 1, const int idx = -1)
: from(from), to(to), cost(cost), idx(idx) {}
};
template <typename T = int>
using Edges = vector<Edge<T>>;
template <typename T>
using WeightedGraph = vector<Edges<T>>;
using UnWeightedGraph = vector<vector<int>>;
template <typename T = int>
struct Graph {
vector<vector<Edge<T>>> g;
int es;
Graph() = default;
explicit Graph(const int n) : g(n), es(0){};
size_t size() const { return g.size(); }
void add_directed_edge(const int from, const int to, const T cost = 1) {
g[from].emplace_back(from, to, cost, es++);
}
void add_edge(const int from, const int to, const T cost = 1) {
g[from].emplace_back(from, to, cost, es);
g[to].emplace_back(to, from, cost, es++);
}
};
#line 1 "graph/dijkstra.cpp"
template <typename T> struct ShortestPath {
vector<T> dist;
vector<int> from, id;
};
template <typename T> ShortestPath<T> dijkstra(const Graph<T> &g, const int s) {
constexpr auto INF = numeric_limits<T>::max();
using Pi = pair<T, int>;
vector<int> from(g.size(), -1), id(g.size(), -1);
vector<T> dist(g.size(), INF);
priority_queue<Pi, vector<Pi>, greater<>> que;
dist[s] = 0;
que.emplace(dist[s], s);
while (!que.empty()) {
T cost;
int idx;
tie(cost, idx) = que.top();
que.pop();
if (dist[idx] < cost)
continue;
for (const auto &e : g.g[idx]) {
auto next_cost = cost + e.cost;
if (dist[e.to] <= next_cost)
continue;
dist[e.to] = next_cost;
from[e.to] = idx;
id[e.to] = e.idx;
que.emplace(dist[e.to], e.to);
}
}
return {dist, from, id};
}
#line 7 "test/dijkstra.test.cpp"
// clang-format on
void Main() {
int N = in();
Graph<int> graph(N);
rep(i, N) {
int u = in(), k = in();
rep(j, k) {
int v = in(), c = in();
graph.add_directed_edge(u, v, c);
}
}
auto v = dijkstra(graph, 0).dist;
rep(i, N) cout << i << " " << v[i] << endl;
}