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 <vector>
#include <queue>
#include <cstdio>
#include <utility>
#include <climits>

int main(){
	std::priority_queue<std::pair<int, int>> queue;
	int n;
	std::scanf("%d", &n);
	std::vector<std::vector<std::pair<int, int>>> edges;
	std::vector<int> result(n, INT_MAX);
	for (auto i = 0; i < n; ++i){
		std::vector<std::pair<int, int>> edge;
		int u, k;
		std::scanf("%d %d", &u, &k);
		for (auto j = 0; j < k; ++j){
			int c, v;
			std::scanf("%d %d", &v, &c);
			edge.push_back(std::make_pair(v, c));
		}
		edges.push_back(edge);
	}
	queue.push(std::make_pair(0, 0));
	for (auto i = 0; i < n; ++i){
		while (result.at(queue.top().second) < -queue.top().first){
			//std::cout << queue.top().second << "qqqq" << queue.top().first << std::endl;
			queue.pop();
		}
		int dist = -queue.top().first; int vert = queue.top().second;
		queue.pop();
		result.at(vert) = dist;
		//std::cout << vert << "v-d" << dist << std::endl;
		for (auto j : edges.at(vert)){
			//std::cout << j.first << "(" << result.at(j.first) << ")" << "||" << j.second << "\n";
			if (result.at(j.first) > dist+ j.second){
				queue.push(std::make_pair(-dist - j.second, j.first));
				result.at(j.first) = dist + j.second;
			}
		}
	}
	for (auto i = 0; i < n; ++i){
		std::printf("%d %d\n", i, result.at(i));
	}
}

C++: #include<iostream>
#include<algorithm>
#include<queue>
using namespace std;
static const int MAX=10000;
static const int I=(1<<20);
static const int W=0;
static const int G=1;
static const int B=2;

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

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


  d[0]=0;
  PQ.push(make_pair(0,0));
  color[0]=G;

  while(!PQ.empty()){
    pair<int,int> f=PQ.top(); PQ.pop();
    int u=f.second;
    color[u]=B;

    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]==B) 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]=G;
      }
    }
  }


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


int main(){
  int k,u,v,c;

  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));
    }
  }

  di();

  return 0;
}

C++: #include <bits/stdc++.h>
using namespace std;
typedef long long ll;
//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; }

const int INF = 1<<20;

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


void dijkstra(){
    priority_queue<pair<int, int>> PQ;
    bool visited[n];
    int d[n];

    for(int i=0; i<n; i++){
        visited[i] = false;
        d[i] = INF;
    }

    PQ.push({0, 0});
    d[0] = 0;

    while(!PQ.empty()){

        pair<int, int> p = PQ.top(); PQ.pop();
        int u = p.second;

        visited[u] = true;

        if(d[u] < p.first * (-1)) continue;
        
        for(int i=0; i<adj[u].size(); i++){
            int v = adj[u][i].first;
            if(visited[v] == false && d[v] > d[u] + adj[u][i].second){
                d[v] = d[u] + adj[u][i].second;
                PQ.push({d[v] * (-1), v});
            }
        }
    }

    for(int i=0; i<n; i++){
        printf("%d %d\n", i, d[i]);
    }

}

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

    dijkstra();
}