Go: package main

import (
	"bufio"
	"container/heap"
	"fmt"
	"os"
	"strconv"
)

// I/O
type Scanner struct {
	sc *bufio.Scanner
}

func NewScanner() *Scanner {
	sc := bufio.NewScanner(os.Stdin)
	sc.Split(bufio.ScanWords)
	sc.Buffer(make([]byte, 1024), int(1e+9))
	return &Scanner{sc}
}

func (s *Scanner) nextStr() string {
	s.sc.Scan()
	return s.sc.Text()
}

func (s *Scanner) nextInt() int {
	i, e := strconv.Atoi(s.nextStr())
	if e != nil {
		panic(e)
	}
	return i
}

func (s *Scanner) nextFloat() float64 {
	f, e := strconv.ParseFloat(s.nextStr(), 64)
	if e != nil {
		panic(e)
	}
	return f
}

func (s *Scanner) nextRuneSlice() []rune {
	return []rune(s.nextStr())
}

func (s *Scanner) nextIntSlice(n int) []int {
	res := make([]int, n)
	for i := 0; i < n; i++ {
		res[i] = s.nextInt()
	}
	return res
}

func (s *Scanner) nextFloatSlice(n int) []float64 {
	res := make([]float64, n)
	for i := 0; i < n; i++ {
		res[i] = s.nextFloat()
	}
	return res
}

// Arithmetic
func max(nums ...int) int {
	m := nums[0]
	for _, i := range nums {
		if m < i {
			m = i
		}
	}
	return m
}

func min(nums ...int) int {
	m := nums[0]
	for _, i := range nums {
		if m > i {
			m = i
		}
	}
	return m
}

func abs(x int) int {
	if x > 0 {
		return x
	}
	return -x
}

func pow(x, y int) int {
	res := 1
	for i := 0; i < y; i++ {
		res *= x
	}
	return res
}

func ceil(a, b int) int {
	if a%b == 0 {
		return a / b
	} else {
		return a/b + 1
	}
}

// Sort
type RuneSlice []rune

func (a RuneSlice) Len() int           { return len(a) }
func (a RuneSlice) Less(i, j int) bool { return a[i] < a[j] }
func (a RuneSlice) Swap(i, j int)      { a[i], a[j] = a[j], a[i] }

// Main
const INF = 1 << 60

type Edge struct {
	to, cost int
}

type Node struct {
	id, cost int
}

type PQ []Node

func (pq PQ) Len() int           { return len(pq) }
func (pq PQ) Less(i, j int) bool { return pq[i].cost < pq[j].cost }
func (pq PQ) Swap(i, j int)      { pq[i], pq[j] = pq[j], pq[i] }

func (pq *PQ) Push(x interface{}) {
	*pq = append(*pq, x.(Node))
}

func (pq *PQ) Pop() interface{} {
	old := *pq
	n := len(old)
	x := old[n-1]
	*pq = old[0 : n-1]
	return x
}

func main() {
	sc := NewScanner()
	wtr := bufio.NewWriter(os.Stdout)
	N := sc.nextInt()
	E := make([][]Edge, N)
	for i := 0; i < N; i++ {
		id, k := sc.nextInt(), sc.nextInt()
		E[id] = make([]Edge, k)
		for j := 0; j < k; j++ {
			to, cost := sc.nextInt(), sc.nextInt()
			E[id][j] = Edge{to, cost}
		}
	}

	d := make([]int, N)
	for i := 0; i < N; i++ {
		d[i] = INF
	}
	done := make([]bool, N)
	pq := &PQ{}
	heap.Init(pq)
	d[0] = 0
	heap.Push(pq, Node{0, 0})
	for pq.Len() > 0 {
		cur := heap.Pop(pq).(Node).id
		if done[cur] {
			continue
		}
		done[cur] = true
		for i := 0; i < len(E[cur]); i++ {
			to, cost := E[cur][i].to, E[cur][i].cost+d[cur]
			if !done[to] && cost < d[to] {
				d[to] = cost
				heap.Push(pq, Node{to, cost})
			}
		}
	}

	for i := 0; i < N; i++ {
		fmt.Fprintln(wtr, i, d[i])
	}
	wtr.Flush()
}

C++: #include<iostream>
#include<algorithm>
#include<queue>
using namespace std;
static const int MAX=10000;
static const int INFTY=(1<<20);
static const int WHITE=0;
static const int GRAY=1;
static const int BLACK=2;

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

void dijkstra(){
  priority_queue<pair<int,int> > PQ;
  int d[MAX],color[MAX];
  for(int i=0;i<n;i++){
    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;

    for(int j=0;j<adj[u].size();j++){
      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;
      }
    }
  }

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

int main(){
  int k,c,u,v;
  cin>>n;

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

  return 0;
}

C++: #include<iostream>
#include<queue>
#include<vector>
#define INF (int)1e9 + 7
using namespace std;
int n;
vector<pair<int, int> > adj[10000];
void dijkstra();
int main() {
    cin >> n;
    for (int i = 0; i < n; i++) {
        int u, k;
        cin >> u >> k;
        for (int j = 0; j < k; j++) {
            int v, c; //vertex cost
            cin >> v >> c;
            adj[u].push_back(make_pair(c, v));
        }
    }
    dijkstra();
    return 0;
}
void dijkstra() {
    int dist[n];
    dist[0] = 0;
    for (int i = 1; i < n; i++) {
        dist[i] = INF;
    }
    priority_queue<pair<int, int> > q;
    q.push(make_pair(0, 0));
    while (!q.empty()) {
        int u = q.top().second;
        int co = -q.top().first;
        q.pop();
        for (int i = 0; i < adj[u].size(); i++) {
            int v = adj[u][i].second;
            int co2 = adj[u][i].first;
            if (dist[u] + co2 < dist[v]) {
                dist[v] = co2 + dist[u];
                q.push(make_pair(-dist[v] ,v));
            }
        }
    }
    for (int i = 0; i < n; i++) {
        cout << i << " " << dist[i] << endl;
    }
    
}

C++: #include <iostream>
#include "algorithm"
#include "queue"
using namespace std;
static const int mx=10007;
static const int inf=(1<<21);

int n;
vector<pair<int, int> >adj[mx];//加权有向图的邻接表表示法

void dijkstra()
{
	priority_queue<pair<int,int> >pq;
	int d[mx],color[mx];
	
	for (int i=0;i<n;i++) {
		d[i]=inf;
		color[i]=0;
	}
	
	d[0]=0;
	color[0]=1;
	pq.push(make_pair(0,0));
	while (!pq.empty()) {
		pair<int , int>f=pq.top();pq.pop();
		int u=f.second;
		
		color[u]=2;
		
		//取出最小值，如果不是最短路径则忽略。	
		if(d[u]<f.first*(-1))continue;
		
		for(int j=0;j<adj[u].size();j++)
		{
			int v=adj[u][j].first;
			if(color[v]==2)continue;
			if(d[v]>d[u]+adj[u][j].second)
			{
				d[v]=d[u]+adj[u][j].second;
				///priority_queue默认优先较大值，因此要乘以-1；
				pq.push(make_pair(d[v]*(-1), v));
				color[v]=1;
			}
		}
	}
		for (int i=0;i<n;i++) 
			cout<<i<<" "<<(d[i]==inf?-1:d[i])<<endl;
}
int main(int argc, char *argv[]) {
	
	int k,c,u,v;
	cin>>n;
	for (int i=0;i<n;i++) {
		cin>>u>>k;
		for (int j=0;j<k;j++) {
			cin>>v>>c;
			adj[u].push_back(make_pair(v, c));
		}
	}
		
	dijkstra();
	
	return 0;
}

C++: #include<bits/stdc++.h>
#define rep(i,n) for(int (i) = 0;(i) < (n);(i)++)
#define SORT(c) sort((c).begin(),(c).end())
#define MOD 1000000007
using namespace std;
typedef long long ll;

const int MAX = 10005;
const int WHITE = 0;
const int GRAY = 1;
const int BLACK = 2;

int n;
vector<pair<int, int>> adj[10005];

void dijkstra(){

  priority_queue<pair<int,int>,
                  vector<pair<int, int>>,
                  greater<pair<int, int>>> PQ;
  int color[10005];
  int d[10005];
  rep(i, n){
    d[i] = MOD;
    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;

    for(int j = 0; j < adj[u].size(); j++){
      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], v));
        color[v] = GRAY;
      }
    }
  }
  rep(i, n){
    cout << i << " " << (d[i] == MOD ? -1 : d[i]) << endl;
  }
}

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

  dijkstra();

  return 0;
}