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

	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 <iostream> 
#include <queue>
#include <algorithm>
#define MAX 10000
#define INF (1<<21)
#define WHITE 0
#define GRAY  1
#define BLACK 2
using namespace std;

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

void Dijkstra() 
{
    priority_queue<pair<int,int>> PQ;
    int next, min_cost;
    int color[n], dist[n];

    for (int i = 0; i < n; ++i) 
    {
        color[i] = WHITE;
        dist[i] = INF;
    }

    dist[0] = 0;
    PQ.push(make_pair(0, 0));
    color[0] = GRAY;

    while(! PQ.empty())
    {
        pair<int, int> next = PQ.top(); PQ.pop();
        int u = next.second;

        color[u] = BLACK;

        if (dist[u] < next.first * (-1)) continue;

        for (int i = 0; i < adj_list[u].size(); ++i) 
        {
            int v = adj_list[u][i].first;
            if (color[v] == BLACK) continue;
            if (dist[v] > dist[u] + adj_list[u][i].second)
            {
                color[v] = GRAY;
                dist[v] = dist[u] + adj_list[u][i].second;
                PQ.push(make_pair(dist[v]*(-1), v));
            }
        }
    }
    
    int sum = 0;
    for (int i = 0; i < n; ++i) 
    {
        cout << i << ' ' << (dist[i] != INF ? dist[i] : -1) << endl; 
    }
}

int main() 
{
    int id, deg, v, w;

    cin >> n;
    for (int i = 0; i < n; ++i) 
    {
        cin >> id >> deg;
        for (int j = 0; j < deg; ++j) 
        {
            cin >> v >> w;
            adj_list[id].push_back(make_pair(v, w));
        }
    }

    Dijkstra();

    return 0;
}

C++: #include <cstdio>
#include <queue>
#include <vector>
using namespace std;
#define INF 1 << 30
typedef pair<int, int> P;

int n, d[10000];
vector<P> M[10000];

void dijkstra(void) {
    int i, u, v;
    P t;
    priority_queue<P, vector<P>, greater<P> > pq;

    pq.push(make_pair(0, 0));
    while (!pq.empty()) {
        t = pq.top(); pq.pop();
        v = t.first;
        u = t.second;

        if (d[u] != INF) continue;
        d[u] = v;

        for (i = 0; i < M[u].size(); i++) {
            t = M[u][i];
            if (d[t.second] != INF) continue;
            pq.push(make_pair(v + t.first, t.second));
        }
    }
}

int main(void) {
    int i, j, u, k, v, c;
    scanf("%d", &n);

    for (i = 0; i < n; i++) d[i] = INF;

    for (i = 0; i < n; i++) {
        scanf("%d %d", &u, &k);
        for (j = 0; j < k; j++) {
            scanf("%d %d", &v, &c);
            M[u].push_back(make_pair(c, v));
        }
    }

    dijkstra();

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

    return 0;
}

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

static const int MAX=1000;
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 color[MAX];
  int d[MAX];

  for(int i=0;i<n;i++){
    d[i]=INT_MAX;
    color[i]=WHITE;
  }

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

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

    color[u]=BLACK;

    for(int i=0;i<adj[u].size();i++){
      int v=adj[u][i].first;
      if(color[v]==BLACK) continue;
      if(d[u]+adj[u][i].second<d[v]){
	d[v]=d[u]+adj[u][i].second;
	PQ.push(make_pair(d[v]*(-1),v));
	color[v]=GRAY;
      }
    }
  }

  for(int i=0;i<n;i++) cout<<i<<" "<<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));
    }
  }

  dijkstra();
  
  return 0;
}

C++: #include <bits/stdc++.h>

using namespace std;

vector<pair<int, int>> adja[10000];

#define INF (1 << 30)

int main() {
	int n, id, k, a, b;

	cin >> n;
	for (int i = 0; i < n; ++i) {
		cin >> id >> k;
		for (int j = 0; j < k; ++j) {
			cin >> a >> b;
			adja[id].push_back(make_pair(a, b));
		}
	}

	priority_queue<pair<int, int>> que;
	que.push(make_pair(0, 0)); //cost, node
	int cost[10000];
	fill(cost, cost + n, INF);

	while (!que.empty()) {
		for (int i = 0, size = que.size(); i < size; ++i) {
			pair<int, int> top = que.top();
			que.pop();

			if (cost[top.second] < top.first) {
				continue;
			}
			cost[top.second] = top.first;

			for (int j = 0, len = adja[top.second].size(); j < len; ++j) {
				que.push(make_pair(top.first + adja[top.second][j].second, adja[top.second][j].first));
			}
		}
	}

	for (int i = 0; i < n; ++i) {
		cout << i << " " << cost[i] << endl;
	}

	return 0;
}