Go: package main

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

//make priority queue
type Item struct {
	id       int
	priority int // this state is priority and distans from start
	index    int
}

type PriorityQueue []*Item

func (pq PriorityQueue) Len() int { return len(pq) }

// we want the ascending-priority-queue.
// So we use less than here.
func (pq PriorityQueue) Less(i, j int) bool {
	return pq[i].priority < pq[j].priority
}

func (pq PriorityQueue) Swap(i, j int) {
	pq[i], pq[j] = pq[j], pq[i]
	pq[i].index = j
	pq[j].index = i
}

func (pq *PriorityQueue) Push(x interface{}) {
	n := len(*pq)
	item := x.(*Item)
	item.index = n
	*pq = append(*pq, item)
}

func (pq *PriorityQueue) Pop() interface{} {
	old := *pq
	n := len(old)
	item := old[n-1]
	item.index = -1 //for safety
	*pq = old[0 : n-1]
	return item
}

func (pq *PriorityQueue) update(dist int, id int) {
	for _, i := range *pq {
		if i.id == id {
			if i.priority > dist {
				i.priority = dist
			}
		}
	}
}

// the main code
func nextInt(sc *bufio.Scanner) int {
	sc.Scan()
	n, _ := strconv.Atoi(sc.Text())
	return n
}

func dikstra(dist *[][]int, n int) *[]int {
	// preparate priority queue
	inf := 1 << 30
	pq := make(PriorityQueue, n)
	shortests := make([]int, n)
	for i := 0; i < n; i++ {
		pq[i] = &Item{
			id:       i,
			priority: inf,
			index:    i,
		}

		shortests[i] = inf
	}
	pq[0].priority = 0
	shortests[0] = 0
	heap.Init(&pq)

	for pq.Len() > 0 {
		item := heap.Pop(&pq).(*Item)
		shortests[item.id] = item.priority
		for id, d := range (*dist)[item.id] {
			if d != -1 {
				pq.update(item.priority+d, id)
			}
		}
		heap.Init(&pq)
	}
	return &shortests
}

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

	// init
	n := nextInt(sc)
	dist := make([][]int, n)
	for i := 0; i < n; i++ {
		dist[i] = make([]int, n)
		for j := 0; j < n; j++ {
			dist[i][j] = -1
		}
	}

	// std Input
	for i := 0; i < n; i++ {
		u := nextInt(sc)
		k := nextInt(sc)
		for j := 0; j < k; j++ {
			v, c := nextInt(sc), nextInt(sc)
			dist[u][v] = c
		}
	}

	shortests := dikstra(&dist, n)
	for i, d := range *shortests {
		fmt.Printf("%d %d\n", i, d)
	}
}

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();
}