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++: //
//  main.cpp
//
//
//  Created by ???????????? on 2017/10/23.
//  Copyright ?? 2017 ????????????. All rights reserved.
//

#include <iostream>
#include <stdio.h>
#include <queue>
#include <algorithm>


#define n_max 100
#define WHITE 0
#define GRAY 1
#define BLACK 2
#define INFTY 1<<20

using namespace std;

int n, M[n_max][n_max], color[n_max], d[n_max], p[n_max];

void init(){
    int i, j, id, num, node;
    scanf("%d", &n);
    for(i = 0; i < n; i++){
        for(j = 0; j < n; j++){
            M[i][j] = INFTY;
        }
    }
    
    
    for(i = 0; i < n; i++){
        scanf("%d %d", &id, &num);
        for(j = 0; j < num; j++){
            scanf("%d", &node);
            scanf("%d", &M[id][node]);
        }
        color[i] = WHITE;
        d[i] = INFTY;
    }
}

void dijkstra(){
    //initializing
    d[0] = 0;
    p[0] = -1;
    
    priority_queue<pair<int, int>> PQ;
    
    PQ.push(make_pair(0, 0));
    
    int u;
    while(!PQ.empty()){
        int mincost = INFTY;
        //first weight, second idx
        pair<int, int> f= PQ.top(); PQ.pop();
        u = f.second;
        color[u] = BLACK;
        
        if(d[u] < f.first*(-1)) continue;
        
        for(int v = 0; v < n; v++){
            if((color[v] != BLACK) && (M[u][v] != INFTY)){
                if((d[u] + M[u][v]) < d[v]){
                    d[v] = M[u][v] + d[u];
//                    p[v] = u;
                    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 argc, const char * argv[]) {
    init();
    dijkstra();
    //    std::cout << "Hello, World!\n";
    return 0;
}

C++: #include<iostream>
#include<cstdio>
#include<algorithm>
#include<queue>
using namespace std;
static const int WHITE=0;
static const int GRAY=1;
static const int BLACK=2;
static const int INFTY=(1<<20);
int n;
vector<pair<int,int> >adj[10000];
void di()
{
    priority_queue<pair<int,int> >PQ;
    int c[10000],d[10000];
    for(int i=0;i<n;i++)
        d[i]=INFTY;
    d[0]=0;
    PQ.push(make_pair(0,0));
    while(!PQ.empty())
    {
        pair<int,int>f=PQ.top();PQ.pop();
        int u=f.second;
        c[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(c[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));
                c[v]=GRAY;
            }
        }
    }
    for(int i=0;i<n;i++)
    {
        printf("%d %d\n",i,(d[i]==INFTY?-1:d[i]));
    }
}
int main()
{
    scanf("%d",&n);
    int a,b,c,d;
    for(int i=0;i<n;i++)
    {
        scanf("%d %d",&a,&b);
        for(int j=0;j<b;j++)
        {
            scanf("%d %d",&c,&d);
            adj[a].push_back(make_pair(c,d));
        }
    }
    di();
    return 0;
}

C++: #include<iostream>
#include<climits>
#include<cstdio>
using namespace std;

typedef struct{
  int A[10001];
  int ans;
}node;

int head=0;
int tail=1;
int n;


int main(){
  int num,son,z,w;
  cin>>n;
  node *T=new node[n];
  for(int i=0;i<n;i++){
    for(int j=0;j<n;j++){
      T[i].A[j]=-1;
    }
  }

  for(int i=0;i<n;i++){
    scanf("%d%d",&num,&son);
    T[num].ans=INT_MAX;
    for(int j=0;j<son;j++){
      scanf("%d%d",&z,&w);
      T[num].A[z]=w;
      }
  }

  T[0].ans=0;

  int *Q=new int[1000000];
  Q[0]=0;
  while(true){
    if(head==tail)break;
    num=Q[head++];
    //if(head==n*5-1)head=1;
    for(int i=0;i<n;i++){
      if(T[num].A[i]!=-1){
	if(T[i].ans>T[num].ans+T[num].A[i]){
	  T[i].ans=T[num].ans+T[num].A[i];
	  Q[tail++]=i;
	  //if(tail==n*5-1)tail=1;
	}
      }
    }
  }
  delete [] Q;
 
  for(int i=0;i<n;i++){
      cout<<i<<" "<<T[i].ans<<endl;
  }
  delete [] T;
  return 0;
}

C++: #include<iostream>
#include<queue>
#include<algorithm>
#include<functional>
#define MAX 10000
#define INFTY (1<<20)
#define MPII(a,b) make_pair((a),(b))
#define PII pair<int,int>
#define FOR(i,a,b) for(int i=(a);i<(b);i++)
#define REP(i,n) for(int i=0;i<(n);i++)
using namespace std;

class Node
{
public:
	Node() {};
	int d;
	bool done;
	priority_queue<PII, vector<PII>, greater<PII>> E;
};

int main()
{
	priority_queue<PII, vector<PII>, greater<PII>> order;
	Node nodes[MAX];
	REP(i, MAX)
	{
		nodes[i].done = false;
		nodes[i].d = INFTY;
	}
	int n;
	cin >> n;
	FOR(i, 0, n)
	{
		int ID, m;
		cin >> ID >> m;
		REP(l, m)
		{
			int v, w;
			cin >> v >> w;
			PII p = MPII(w, v);
			nodes[ID].E.push(p);
		}
	}
	PII now = MPII(0, 0);
	order.push(now);
	nodes[now.second].d = 0;
	while (1)
	{
		if (!nodes[now.second].done)
		{
			while (!nodes[now.second].E.empty())
			{
				PII temp = nodes[now.second].E.top();
				nodes[now.second].E.pop();
				int nextv = temp.second;
				int w = temp.first;
				if (nodes[nextv].d > nodes[now.second].d + w)
				{
					nodes[nextv].d = nodes[now.second].d + w;
				}
				order.push(MPII(nodes[nextv].d,nextv ));
			}
			nodes[now.second].done = true;
		}
		order.pop();
		if (order.empty())break;
		now = order.top();
	}
	REP(i, n)
	{
		cout << i << " " << nodes[i].d << endl;
	}
	return 0;
}