Go: package main

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

type Item struct {
	value    int // The value of the item; arbitrary.
	priority int // The priority of the item in the queue.
	// The index is needed by update and is maintained by the heap.Interface methods.
	index int // The index of the item in the heap.
}
type PriorityQueue []*Item

func (pq PriorityQueue) Len() int { return len(pq) }
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 = i
	pq[j].index = j
}
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
}

type Q struct {
	pq *PriorityQueue
	ds map[int]int // It has always same value as pq. For random access.
}

func newQ() *Q {
	pq := new(PriorityQueue)
	heap.Init(pq)
	return &Q{
		pq: pq,
		ds: make(map[int]int),
	}
}
func (q *Q) pop() (u, d int) {
	item := heap.Pop(q.pq).(*Item)
	delete(q.ds, item.value)
	return item.value, item.priority
}
func (q *Q) get(u int) (int, bool) { // returns d
	d, ok := q.ds[u]
	return d, ok
}
func (q *Q) set(u, d int) {
	q.ds[u] = d
	for _, item := range *q.pq {
		if item.value != u {
			continue
		}

		item.priority = d
		heap.Fix(q.pq, item.index)
		return
	}
	heap.Push(q.pq, &Item{
		priority: d,
		value:    u,
	})
}
func (q *Q) len() int {
	return len(q.ds)
}

func main() {
	r := bufio.NewReader(os.Stdin)

	var n int
	fmt.Fscan(r, &n)
	cs := make([]map[int]int, n) // []v_i -> c_i
	for h := 0; h < n; h++ {
		var u, k int
		fmt.Fscan(r, &u, &k)
		m := make(map[int]int)
		for i := 0; i < k; i++ {
			var v, c int
			fmt.Fscan(r, &v, &c)
			m[v] = c
		}

		cs[u] = m
	}

	q := newQ()
	q.set(0, 0)
	visited := make(map[int]struct{})
	out := make([]int, n)

	for q.len() > 0 {
		u, d := q.pop()
		for uu, c := range cs[u] {
			// Consider the connection between u and uu.
			if _, ok := visited[uu]; ok {
				continue
			}
			dd := d + c
			if d, ok := q.get(uu); !ok || d > dd {
				q.set(uu, dd)
			}
		}

		out[u] = d
		visited[u] = struct{}{}
	}

	for u, d := range out {
		fmt.Println(u, d)
	}
}

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, 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 <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> > M[MAX];

void dijkstra(void);

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

  cin >> n;

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

  dijkstra();

  return 0;
}

void dijkstra()
{
  priority_queue<pair<int, int> > p;
  pair<int, int> tmp;
  int i, j, u, v;
  int color[MAX], d[MAX];
  
  for( i = 0 ; i < n ; i++ ){
    d[i] = INFTY;
    color[i] = WHITE;
  }

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

  while( !p.empty() ){
    tmp = p.top();
    p.pop();
    u = tmp.second;
    color[u] = BLACK;

    if( d[u] < tmp.first * (-1) ) continue;

    for( j = 0 ; j < M[u].size() ; j++ ){
      v = M[u][j].first;
      if( color[v] == BLACK ) continue;
      if( d[v] > d[u] + M[u][j].second ){
	d[v] = d[u] + M[u][j].second;
	p.push(make_pair(d[v] * (-1), v));
	color[v] = GRAY;
      }
    }
  }

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

}

C++: #include <stdio.h>
#include <cmath>
#include <algorithm>
#include <stack>
#include <queue>
#include <vector>
typedef long long int ll;

#define BIG_NUM 2000000000

using namespace std;

struct Node{

	Node(int arg_to,int arg_cost){
		to = arg_to;
		cost = arg_cost;
	}
	bool operator<(const struct Node &arg) const{
			return cost > arg.cost;
	};

	int to,cost;
};
int main(){

	int N;
	scanf("%d",&N);

	vector<Node> V[N];

	int node,num,to,cost,D[N];;

	for(int loop = 0; loop < N; loop++){
		scanf("%d",&node);
		scanf("%d",&num);
		for(int i = 0; i < num; i++){
			scanf("%d %d",&to,&cost);
			V[node].push_back(Node(to,cost));
		}
		D[loop] = BIG_NUM;
	}

	D[0] = 0;

	priority_queue<Node> Q;

	for(int i = 0; i < V[0].size(); i++){
		D[V[0][i].to] = V[0][i].cost;
		Q.push(Node(V[0][i].to,V[0][i].cost));
	}

	int min_index;

	while(!Q.empty()){
		if(Q.top().cost == D[Q.top().to]){
			min_index = Q.top().to;
			Q.pop();
		}else{
			Q.pop();
			continue;
		}

		for(int k = 0; k < V[min_index].size(); k++){
			if(D[V[min_index][k].to] > D[min_index] + V[min_index][k].cost){
				D[V[min_index][k].to] = D[min_index] + V[min_index][k].cost;
				Q.push(Node(V[min_index][k].to,D[V[min_index][k].to]));
			}
		}
	}

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

    return 0;
}