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<vector>
#include<climits>
using namespace std;

struct Edge {int to, cost;};

typedef vector<Edge> Edges;
typedef vector<Edges> Graph;

int mind(vector<int> &a,vector<int> &b){
	int n=a.size();
	int min=INT_MAX;
	int ind=0;
	for (int i=0;i<n;i++){
		if((min>a[i])&&(b[i]==0)){
			min=a[i];
			ind=i;
		}
	}
	if(min==INT_MAX){
		return -1;
	}else{
		return ind;
	}
}

int min(vector<int> &a){
	int n=a.size();
	int min=a[0];
	int ind=0;
	for (int i=0;i<n;i++){
		if(min>a[i]){
			min=a[i];
			ind=i;
		}
	}
	return min;
}

void dijkstra(Graph &G,vector<int> &d,int n,int s){
	fill(d.begin(),d.end(),INT_MAX);
	vector<int> c(n,0);
	int t;
	
	d[s]=0;
	
	while((t=mind(d,c))!=-1){
		c[t]=1;
		for(int i=0;i<G[t].size();i++){
			Edge e=G[t][i];
			if(d[e.to] > d[t]+e.cost){
				d[e.to] = d[t]+e.cost;
			}
		}
	}
}

int main(){
	int n,i,j,k;
	vector<int> d(n);
	Edge e;
	
	cin >> n;
	
	Graph G(n);
	
	for (i=0;i<n;i++){
		cin >> k >> k;
		for (j=0;j<k;j++){
			cin >> e.to >> e.cost;
			G[i].push_back(e);
		}
	}
	
	dijkstra(G,d,n,0);
	
	for (i=0;i<n;i++){
		cout << i << " " << d[i] << endl;
	}
	
	return 0;
}

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

typedef struct{
  int A[10010];
  int ans;
}node;
node T[10010];
int head=0;
int tail=1;
int n;

void function(int num){
  int *Q=new int[1000000];
  Q[0]=0;
  while(true){
    if(head==tail)break;
    num=Q[head++];
        if(head==999999)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==999999)tail=1;
	}
      }
    }
  }
  delete [] Q;
}

int main(){
  int num,son,z,w;
  cin>>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++){
    cin>>num>>son;
    T[num].ans=INT_MAX;
    for(int j=0;j<son;j++){
      cin>>z>>w;
      T[num].A[z]=w;
      }
  }

  T[0].ans=0;
  function(0);
 
  for(int i=0;i<n;i++){
      cout<<i<<" "<<T[i].ans<<endl;
  }
  return 0;
}

C++: #include <iostream>
#include <vector>
#include <queue>

using namespace std;

const int MAX_N = 10005;
const int INFTY = 1001001001;
typedef pair<int, int> P;

vector< vector< P > > adj(MAX_N);
vector<int> state(MAX_N, 0);
vector<int> dist(MAX_N, INFTY);
int n;

void djkstra(int node)
{
    priority_queue< P, vector<P>, greater<P> > Q;
    Q.push(P(0, node));
    dist[node] = 0;
    int v;

    while(!Q.empty()){
        P p = Q.top();
        Q.pop();
        node = p.second;

        state[node] = 1;

        //if(dist[node] < p.first) continue;

        for(int j=0;j<adj[node].size();++j){
            // node → jのコスト
            v = adj[node][j].first;
            if(state[v]) continue;
            if(dist[v] > dist[node] + adj[node][j].second){
                dist[v] = dist[node] + adj[node][j].second;
                Q.push(P(dist[v], v));
            }
        }
    }

    for(int i=0;i<n;++i){
        dist[i] = dist[i] == INFTY ? -1 : dist[i];
    }
}

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;
            adj[u].push_back(P(v, c));
        }
    }

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