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<queue>
#include<vector>
using namespace std;
#define MAX 10000
#define Infinit 1e+10
#define White 0
#define Black 1
#define Red 2
int n;
vector<pair<int, int> >Relate[MAX];
struct Node{
	int id;
	int weight;

	Node(int inputted_id, int inputted_weight){
		id = inputted_id;
		weight = inputted_weight;
	}
	bool operator<(const Node& another) const{
		return weight < another.weight;
	};
	//2つのconstを付けないとコンパイルエラーになるので注意!!
};
void search() {
	int color[MAX],d[MAX],pointer;
	priority_queue<Node> path;
	for (int i = 0; i < n; i++) {
		if (i == 0) d[i] = 0;
		else d[i] = Infinit;
		color[i] = White;
	}
	path.push(Node(0, 0));
	while (!path.empty()) {
		Node x = path.top();
		pointer=x.id;
		color[pointer] = Black;
		for (int i = 0; i < Relate[pointer].size(); i++) {
			int v = Relate[pointer][i].first;
			if (d[pointer] + Relate[pointer][i].second < d[v] && color[v] != Black) {
				d[v] = d[pointer] + Relate[pointer][i].second;
				color[v] = Red;
				path.push(Node(v,d[v]*(-1)));

			}
		}
		path.pop();
	}
	for (int i = 0; i < n; i++) {
		cout << i << " " << d[i] << endl;
	}
}
int main() {
	int u, k, v, c;
	cin >> n;
	for (int i = 0; i < n; i++) {
		cin >> u >> k;
		for (int j = 0; j < k; j++) {
			cin >> v >> c;
			Relate[u].push_back(make_pair(v, c));

		}
	}
	search();

}

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 color[MAX];
  int d[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 MIN = 10000000;
static const int WH = 0;
static const int GR = 1;
static const int BL = 2;

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

void dijkstra(void){
  priority_queue<pair<int,int> > PQ;
  int color[MAX],d[MAX],i,j,v;
  for(i=0;i<n;i++){
    d[i]=MIN;
    color[i]=WH;
  }
  d[0]=0;
  PQ.push(make_pair(0,0));
  color[0]=GR;

  while(!PQ.empty()){
    pair<int,int> f=PQ.top(); PQ.pop();
    int u=f.second;
    color[u]=BL;
    if(d[u]<f.first*(-1))continue;
    for(j=0;j<ad[u].size();j++){
      v=ad[u][j].first;
      if(color[v]==BL) continue;
      if(d[v]>d[u]+ad[u][j].second){
	d[v]=d[u]+ad[u][j].second;
	PQ.push(make_pair(d[v]*(-1),v));
	color[v]=GR;
      }
    }
  }
  for(i=0;i<n;i++) cout<< i << " " << (d[i]==MIN ? -1:d[i]) << endl;
}

int main(void){
  int i,j,m,l,k,c;

  cin>>n;
  for(i=0;i<n;i++){
    cin>> m >> l;
    for(j=0;j<l;j++){
      cin >> k >> c;
      ad[m].push_back(make_pair(k,c));
    }
  }
  dijkstra();
  return 0;
}