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
	heap.Init(&pq)

	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<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 <vector>
#include <queue>
using namespace std;
typedef vector <int> vi;
typedef vector <vi> vvi;

class blanch{
	public:
		int weight;
		int from;
		int to;
		blanch():
			weight(0), from(0), to(0){};
		blanch(int newweight, int newfrom, int newto):
			weight(newweight), from(newfrom), to(newto){};
};
typedef vector <blanch> vb;


bool operator<( const blanch &blanch1, const blanch &blanch2){
	return (blanch1.weight > blanch2.weight);
	}

bool operator>( const blanch &blanch1, const blanch &blanch2){
	return (blanch1.weight < blanch2.weight);
	}

int make_graph(vvi &graph, vi &stamp){
	int n=graph.size();
	for (int i=0; i<n; i++){
		for (int j=0; j<n; j++){
			graph[i][j]=-1;
		}
	}

	for (int i=0; i<n; i++){
		int i2,n2;
		cin>>i2;
		cin>>n2;
		for (int j=0; j<n2; j++){
			int j2;
			cin>>j2;
			cin>>graph[i2][j2];
		}
		stamp[i] = -1;
	}
	return 0;
}

int Shortest_Path(vvi &graph, vi &stamp){

	priority_queue<blanch, vb, less<vb::value_type> > pq;
	int n = graph.size(), p1=0;
	stamp[p1] = 0;

	while (p1 != -1){
		for (int p2 = 0; p2 < n; p2++){
			int *tmp = &graph[p1][p2];
			if (*tmp!=-1 && stamp[p2]==-1){
				pq.push(blanch(*tmp + stamp[p1], p1, p2));
			}
		}
		p1 = -1;
		while (! pq.empty()){
			blanch tmp = pq.top();
			if (stamp[tmp.from]!=-1 && stamp[tmp.to]==-1){
				p1 = tmp.to;
				stamp[p1] = tmp.weight;
				pq.pop();
				break;
			} else
				pq.pop();
		}
	}
	return 0;
}

int resultout(vi &stamp){
	int n = stamp.size();
	for (int i=0; i<n; i++){
		cout<<i<<" "<<stamp[i]<<endl;
	}
	return 0;
}

int main(void){

	int n;
	cin>>n;
	vvi G(n, vi(n));
	vi stamp(n);

	make_graph(G, stamp);

	Shortest_Path(G, stamp);

	resultout(stamp);

	return 0;
}

C++: #include <iostream>
#include <vector>
using namespace std;
#define INF 10000000

typedef struct{
  int s,d;
  int w;
}ver;

ver A[100];
  int d[100],hsize=0;

void insert(ver key){
  int i=hsize;
  A[i]=key;
  hsize++;
  while(i>0&&A[i].w<A[(i-1)/2].w){
    swap(A[i],A[(i-1)/2]);
    i=(i-1)/2;
  }
}

void modheap(int i){
  int l=i*2+1;
  int r=i*2+2;
  int larger = i;
  if (l<hsize&&A[larger].w>A[l].w)larger=l;
  if (r<hsize&&A[larger].w>A[r].w)larger=r;
  if (larger!=i){
    swap(A[larger],A[i]);
    modheap(larger);
  }
}

ver extract(){
  int i=0;
  ver ret=A[0];
  A[0]=A[hsize-1];
  hsize--;
  modheap(0);
  return ret;
}

int main(){
  int n,k,ti,tv,tc;
  //int d[100];
  vector<int> v[100],w[100];
  
  int minc,mi,i;
  bool flg[100];
  
  cin >> n;
  for (i=0;i<n;i++){
    cin >>ti>>k;
    for (int j=0;j<k;j++){
      cin >> tv>>tc;
      v[ti].push_back(tv);
      w[ti].push_back(tc);
      ver t;
      t.s=i;
      t.d=tv;
      t.w=tc;
      insert(t);
    }
    d[i]=INF;
    flg[i]=false;
  }

  d[0]=0;
  
  while (hsize>0){
    ver t=extract();
    mi=t.s;
    for (i=0;i<n;i++){
      //cout << d[i] << " ";
    }
    // cout <<" :" << mi << endl;
    flg[mi]=true;
    for (i=0;i<v[mi].size();i++){
      //cout <<v[mi][i] <<" "<<d[mi]+w[mi][i];
      if (d[v[mi][i]]>d[mi]+w[mi][i]){
	//cout <<"+ " ;
	d[v[mi][i]]=d[mi]+w[mi][i];
      }
      //cout << endl;
    }
  }
  
  for (i=0;i<n;i++){
    cout << i <<" "<<d[i]<<endl;
  }
  
  return 0;
}

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

const int Max = 10000;
const int Infty = (1 << 21);
const int white = 0, gray = 1, black = 2;

int d[Max], color[Max];
int n;

vector<pair<int, int> > adj[Max];

void dijkstra(int s){
    priority_queue<pair<int, int> > PQ;
    for(int i=0; i<n; i++){
        d[i] = Infty;
        color[i] = white;
    }
    d[s] = 0;
    color[s] = gray;
    PQ.push(make_pair(0, 0)); //(d[u], u) u:be adjacent to s

    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 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;
                color[v] = gray;
                PQ.push(make_pair(d[v] * (-1), v));
            }
        }
    }
    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(0);

    return 0;
}