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 <cstdio>
#include <algorithm>
#include <vector>
#include <queue>
using namespace std;
const int maxx=10010;
const int infinity=1<<30;

int main() {
	int n,a,b,c,e;
	vector<pair<int, int> > A[maxx];
	bool flag[maxx];
	int d[maxx];
	cin>>n;
	for(int i=0;i<n;i++){
		cin>>a>>b;
		for(int j=0;j<b;j++){
			cin>>c>>e;
			A[a].push_back(make_pair(c,e));
		}
	}
	for(int i=0;i<n;i++){
		flag[i]=false;
		d[i]=infinity;
	}
	priority_queue<pair<int,int> > PQ;
	d[0]=0;
	PQ.push(make_pair(0, 0));
	while(PQ.empty()==0){
		pair<int, int> u=PQ.top();
		PQ.pop();
		//cout<<u.first<<" "<<d[u.first]<<endl;
		flag[u.second]=true;
		int len=A[u.second].size();
		for(int i=0;i<len;i++){
			int v=A[u.second][i].first;
			if(flag[v]==false && d[u.second]+A[u.second][i].second<d[v]){
				d[v]=d[u.second]+A[u.second][i].second;
				PQ.push(make_pair(d[v]*(-1),v));
			}
		}
	}

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

	return 0;
}

C++: #include<bits/stdc++.h>
using namespace std;
#define rep(i,n) for(int i = 0; i < (n) ; i++)
constexpr auto INF = 2147483647;
typedef long long ll;

static const int MAX = 10000;
static const int WHITE = 0;
static const int GRAY = 1;
static const int BLACK = 2;

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

void dijkstra(){
  priority_queue<pair<int,int>> pq;
  int color[MAX], d[MAX];
  rep(i,n){
    color[i] = WHITE;
    d[i] = INF;
  }
  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_vec[u].size(); j++){
      int v = Adj_vec[u][j].first;
      if(color[v] == BLACK) continue;
      if(d[v] > d[u] + Adj_vec[u][j].second){
        d[v] = d[u] + Adj_vec[u][j].second;
        pq.push(make_pair(d[v] * -1, v));
        color[v] = GRAY;
      }
    }
  }
  rep(i,n){
    cout << i << " " << (d[i] == INF ? -1 : d[i]) << endl;
  }
}

int main(){
  int k, c, u, v;
  cin >> n;
  rep(i,n){
    cin >> u >> k;
    rep(j,k){
      cin >> v >> c;
      Adj_vec[u].push_back(make_pair(v, c));
    }
  }

  dijkstra();

  return 0;
}

C++: #include <iostream>
#include <vector> 
#include <algorithm>
#include <queue>
#include <cstdio> 
using namespace std;
static const int MAX = 10000;
static const int INFTY = (1<<21);
int d[MAX],color[MAX];
int n;
vector<pair<int, int> > adj[MAX];

void dijkstra()
{
    priority_queue<pair<int, int> > PQ;
    for (int i = 0; i < n; i++)
    {
        d[i] =INFTY;
        color[i] = 0;
    } 
    d[0] = 0;
    PQ.push(make_pair(0,0));
    color[0] = 1;
    while (!PQ.empty())
    { 
        pair<int, int> f = PQ.top(); PQ.pop();
        int u = f.second;
        color[u] = 2;
        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] == 2) 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] = 1;
            } 
        } 
    } 

    return;
}


int main()
{
    //freopen("in3.txt","r",stdin);
    int u,k,v,c;
    cin>>n;
    for (int i = 0; i < n; i++)
    {
        cin>>u>>k;
        for (int j = 0; j < n; j++)
        {
            cin>>v>>c;
            adj[u].push_back(make_pair(v,c));
        } 
    } 
    dijkstra();
    for (int i = 0; i < n; i++)
    {
        cout<<i<<" "<<d[i]<<endl; 
    } 
    return 0;
}

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

static const int MAX=1000;
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]=INT_MAX;
    color[i]=WHITE;
  }

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

  while(!PQ.empty()){
    int u;
    pair<int,int> f=PQ.top();
    PQ.pop();
    u=f.second;

    color[u]=BLACK;

    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;
	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 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++: #define ll long long
#define MAX 10000

#include <vector.h>
#include <algorithm.h>
#include <queue.h>

using namespace std;
static const int INF = (1 << 21);

int n;
priority_queue<pair<int,int>> PQ;
vector<pair<int, int>> adj[MAX];
int color[MAX];
int d[MAX];

void dj(int s){
	for (int i = 0;i < n;i++) {
		d[i]=INF;
		color[i] = 0;
	}
	
	d[s] = 0;
	PQ.push(make_pair(0, 0));
	color[0] = 1;

	while (!PQ.empty()) {
		pair<int, int> f = PQ.top(); 
		PQ.pop();
		int u = f.second;
		color[u] = 2;

		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] == 2) 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] = 1;
			}
		}
	}

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

}

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

	dj(0);

}