Go: package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
)

const (
	MAX_N      = 10000
	MAX_WEIGHT = 100000
)

type Edge struct {
	start  int
	end    int
	weight int
}

type ShortestInfo struct {
	edges    []Edge
	shortest int
}

type Neighbor struct {
	node   int
	weight int
}

func main() {
	sc := bufio.NewScanner(os.Stdin)
	sc.Split(bufio.ScanWords)

	n, err := nextInt(sc)
	if err != nil {
		panic(err)
	}

	shortestList := make([]ShortestInfo, n)
	for i := 1; i < n; i++ {
		shortestList[i] = ShortestInfo{edges: []Edge{}, shortest: MAX_N*MAX_WEIGHT + 1}
	}

	adjacentMatrix, err := createAdjacentMatrix(n, sc)
	if err != nil {
		panic(err)
	}

	sssp([]int{0}, shortestList, adjacentMatrix)
	for _, v := range shortestList {
		fmt.Printf("%d %d\n", v.getEnd(), v.shortest)
	}
}

func (si ShortestInfo) getEnd() int {
	if len(si.edges) == 0 {
		return 0
	} else {
		return si.edges[len(si.edges)-1].end
	}
}

func createAdjacentMatrix(n int, sc *bufio.Scanner) ([][]Neighbor, error) {
	adjacentMatrix := make([][]Neighbor, n)
	for i := 0; i < n; i++ {
		id, err := nextInt(sc)
		if err != nil {
			return nil, err
		}
		adjacentMatrix[id] = []Neighbor{}
		vertexNum, err := nextInt(sc)
		if err != nil {
			return nil, err
		}
		for j := 0; j < vertexNum; j++ {
			v, err := nextInt(sc)
			if err != nil {
				return nil, err
			}
			c, err := nextInt(sc)
			if err != nil {
				return nil, err
			}
			adjacentMatrix[id] = append(adjacentMatrix[id], Neighbor{v, c})
		}
	}
	return adjacentMatrix, nil
}

func sssp(nodeStack []int, shortestList []ShortestInfo, adjacentMatrix [][]Neighbor) {
	for len(nodeStack) > 0 {
		currentNode := nodeStack[0]
		nodeStack = nodeStack[1:]
		currentShortest := getShortest(currentNode, shortestList)
		adjacents := findAdjacents(currentNode, adjacentMatrix)
		for i := 0; i < len(adjacents); i++ {
			adj := adjacents[i]
			if currentShortest.shortest+adj.weight < getShortest(adj.end, shortestList).shortest {
				setShortest(adj.end, adj, currentShortest, shortestList)
				nodeStack = append(nodeStack, adj.end)
			}
		}
	}
}

func getShortest(node int, shortestList []ShortestInfo) ShortestInfo {
	return shortestList[node]
}

func setShortest(node int, edge Edge, currentShortest ShortestInfo, shortestList []ShortestInfo) {
	newEdges := make([]Edge, len(currentShortest.edges)+1)
	for i := 0; i < len(newEdges)-1; i++ {
		newEdges[i] = currentShortest.edges[i]
	}
	newEdges[len(newEdges)-1] = edge
	shortestInfo := ShortestInfo{edges: newEdges, shortest: currentShortest.shortest + edge.weight}
	shortestList[node] = shortestInfo
}

func findAdjacents(currentNode int, adjacentMatrix [][]Neighbor) []Edge {
	adjacents := adjacentMatrix[currentNode]
	edges := []Edge{}
	for _, neighbor := range adjacents {
		edges = append(edges, Edge{start: currentNode, end: neighbor.node, weight: neighbor.weight})
	}
	return edges
}

func nextInt(sc *bufio.Scanner) (int, error) {
	sc.Scan()
	return strconv.Atoi(sc.Text())
}

C++: #include <iostream>
#include <algorithm>
#include <queue>
using namespace std;
#define MAX 10000
#define INFTY (1<<30)
#define rep(i,n)	for(int i=0;i<n;i++)
enum{
	white,
	gray,
	black,
};

int n;
vector<pair<int,int> >	adj[MAX];

void dijkstra(){
	priority_queue<pair<int,int> >	pq;
	int color[MAX];
	int d[MAX];
	rep(i,n){
		d[i]=INFTY;
		color[i]=white;
	}
	d[0]=0;
	pq.push(make_pair(0,0));
	color[0]=gray;
	while(!pq.empty()){
		pair<int,int> f=pq.top();	pq.pop();
		int u=f.second;
		color[u]=black;
		if(d[u]<f.first*(-1))	continue;
		rep(j,(int)adj[u].size()){
			int v=adj[u][j].first;
			if(color[v]==black)	continue;
			if(d[v]>d[u]+adj[u][j].second){
				d[v]=d[u]+adj[u][j].second;
				pq.push(make_pair(d[v]*(-1),v));
				color[v]=gray;
			}
		}
	}
	rep(i,n){
		cout<<i<<" "<<(d[i]==INFTY?-1:d[i])<<endl;
	}
}

int main(){
	int k,u,v,c;
	cin>>n;
	rep(i,n){
		cin>>u>>k;
		rep(j,k){
			cin>>v>>c;
			adj[u].push_back(make_pair(v,c));
		}
	}
	dijkstra();
	return 0;
}

C++: #include <iostream>
#include <queue>
using namespace std;

const int MAX = 10000;
const int INFINITY = 2 << 21;
int n;
vector<pair<int, int> > G[MAX];
int distances[MAX];
int states[MAX];

void dijkstra() {
  int id = 0;
  distances[id] = 0;
  priority_queue<pair<int, int> > PQ;
  PQ.push(make_pair(0, 0));

  while (!PQ.empty()) {
    pair<int, int> p = PQ.top(); PQ.pop();
    id = p.second;
    states[id] = 1;

    if (distances[id] < p.first * -1) continue;

    int s = G[id].size();
    for (int i = 0; i < s; i++) {
      int k = G[id][i].first;
      int v = G[id][i].second;
      if (states[k] == 1) continue;
      if (distances[id] + v < distances[k]) {
        distances[k] = distances[id] + v;
        PQ.push(make_pair(distances[k] * -1, k));
      }
    }
  }

  for (int i = 0; i < n; i++) {
    cout << i << " " << (distances[i] == INFINITY ? -1 : distances[i]) << endl;
  }
}

int main() {
  cin.tie(0);
  ios::sync_with_stdio(false);

  cin >> n;

  int u, k, v, c;
  for (int i = 0; i < n; i++) {
    distances[i] = INFINITY;
    states[i] = 0;
    cin >> u >> k;
    for (int j = 0; j < k; j++) {
      cin >> v >> c;
      G[i].push_back(make_pair(v, c));
    }
  }

  dijkstra();

  return 0;
}

C++: #define _CRT_SECURE_NO_WARNINGS
// #define _GLIBCXX_DEBUG
#include <bits/stdc++.h>
using namespace std;
template<class T> ostream &operator << (ostream &os, const vector<T> &);
template<size_t n, class...T> typename enable_if<(n>=sizeof...(T))>::type _ot(ostream &, const tuple<T...> &){}
template<size_t n, class...T> typename enable_if<(n< sizeof...(T))>::type _ot(ostream &os, const tuple<T...> &t){
    os << (n == 0 ? "" : " ") << get<n>(t); _ot<n+1>(os, t);
}
template<class...T> ostream &operator << (ostream &os, const tuple<T...> &t){
    _ot<0>(os, t); return os;
}
template<class T, class U> ostream & operator << (ostream &os, const pair<T,U> &p){
    return os << "(" << p.first << ", " << p.second << ") ";
}
template<class T> ostream &operator << (ostream &os, const vector<T> &v){
    for(size_t i = 0; i < v.size(); i++) os << v[i] << (i + 1 == v.size() ? "" : ", "); return os;
}
#ifdef DEBUG
#define dump(...) (cerr << #__VA_ARGS__ << " = " << make_tuple(__VA_ARGS__) \
                   << " (L : " << __LINE__ << ")" << endl)
#else
#define dump(...)
#endif
#define all(c) begin(c), end(c)
#define range(i,a,b) for(int i = a; i < (int)(b); i++)
#define rep(i,b) range(i,0,b)
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define mt make_tuple
using ll = long long;
// #define int ll
using vi = vector<int>;
using vvi = vector<vi>;
using pii = pair<int,int>;
void fastios(){ ios_base::sync_with_stdio(0); cin.tie(0); }
int const mod = 1000000007;
auto const inf = numeric_limits<int>::max()/8;

using Weight = int;
using Capacity = int;
struct Edge {
    int src, dst; Weight weight;
    Edge(int s, int d, int w) : src(s), dst(d), weight(w) {}
};
using Edges = vector<Edge>;
using Graph = vector<Edges>;
using Array = vector<Weight>;
using Matrix = vector<Array>;

vector<Weight> dijkstra(const Graph &g, int s){
    const Weight inf = numeric_limits<Weight>::max()/4;
    typedef tuple<Weight,int> State;
    priority_queue<State> q;
    vector<Weight> dist(g.size(), inf);
    dist[s] = 0; q.emplace(0,s);
    while (q.size()) {
        Weight d; int v;
        tie(d,v) = q.top(); q.pop(); d *= -1;
        /* if(v == t) return d; */
        if (dist[v] < d) continue;
        for(auto & e : g[v]){
            if (dist[e.dst] > dist[v] + e.weight) {
                dist[e.dst] = dist[v] + e.weight;
                q.emplace(-dist[e.dst], e.dst);
            }
        }
    }
    return dist;
}


int main(){
    fastios();
    int n;
    cin >> n;
    Graph g(n);
    rep(i,n){
        int u,k;
        cin >> u >> k;
        rep(j,k){
            int v,c;
            cin >> v >> c;
            g[u].eb(u,v,c);
        }
    }
    auto dist = dijkstra(g,0);
    rep(i,n){
        cout << i << ' ' << dist[i] << '\n';
    }
}