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>
using namespace std;
static const int MAX = 100;
static const int INFTY = (1 << 21);
static const int WHITE = 0;
static const int GRAY = 1;
static const int BLACK = 2;

int n, M[MAX][MAX];

void dijkstra(){
    int minv;
    int d[MAX], color[MAX];
    
    for ( int i = 0; i < n; i++ ){
        d[i] = INFTY;
        color[i] = WHITE;
    }
    
    d[0] = 0;

}

int main() {
    cin >> n;
    
    for ( int i = 0; i < n; i++ ){
        for ( int j = 0; j < n; j++ ){
            M[i][j] = INFTY;
        }
    }
    
    int k, c, u, v;
    for ( int i = 0; i < n; i++ ){
        cin >> u >> k;
        for ( int j = 0; j < k; i++ ){
            cin >> v >> c;
            M[u][v] = c;
        }
    }
    
    dijkstra();
    
    return 0;
}

C++: #include <iostream>
#include <queue>
#include <utility>
using namespace std;
static const int INFTY = (1 << 21);
static const int WHITE = 0;
static const int GRAY = 1;
static const int BLACK = 2;

int n;
vector<pair<int, int>> adj[100];
int *d;

void dijkstra() {
    priority_queue<pair<int, int>> PQ;
    int d[n], color[n];

    for (int i = 0; i < n; i++) {
        d[i] = INFTY;
        color[n] = WHITE;
    }
    d[0] = 0;
    PQ.push(make_pair(0, 0));

    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[u] + adj[u][j].second < d[v]) {
                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++) {
        printf("%d %d\n", i, d[i]);
    }
}

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));
        }
    }

    dijkstra();

    return 0;
}

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<bits/stdc++.h>
#define REP(i,n) for(long long i=0;i<n;++i)
#define FOR(i,a,b) for(long long i=a;i<b;++i)
#define F first
#define S second
using namespace std;

typedef pair< int,int > point;
vector< point > graph[101];
vector< int > v(101);
int n;
const int INF=1<<30;

void dijkstra(int s){
    priority_queue< point,vector< point >,greater< point > >pq;
    pq.push({0,s});
    fill(v.begin(),v.end(),INF);
    v[s]=0;
    while(!pq.empty()){
        point p=pq.top();
        pq.pop();
        REP(i,graph[p.S].size()){
            int nex=graph[p.S][i].S;
            int cost=p.F+graph[p.S][i].F;
            if(v[nex]>cost){
                v[nex]=cost;
                pq.push({cost,nex});
            }
        }
    }
}

int main(){
    scanf("%d",&n);
    int u,k,to,c;
    REP(i,n){
        scanf("%d%d",&u,&k);
        REP(j,k){
            scanf("%d%d",&to,&c);
            graph[u].push_back({c,to});
        }
    }
    dijkstra(0);
    REP(i,n){
        printf("%d ",i);
        printf("%d\n",v[i]);
    }
    return 0;
}

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

#define WHITE 0 
#define GRAY 1
#define BLACK 2
#define INFTY 10000000
int n,color[100],M[100][100],d[100],p[100];
int i,j,u,k,v,c;

void dijkstra(){
  for( i = 0; i < n; i++ ){
    color[i] = WHITE;
    d[i] = INFTY;
  }
  d[0] = 0;
  p[0] = -1;
  int cnt = 0;
  // color[0] = GRAY;
  while(1){
    cnt++;
    //cout << cnt << endl;
    int u = -1;
    int mincost = INFTY;
    for( i = 0; i < n; i++ ){
      if( color[i] != BLACK && d[i] < mincost ){
	mincost = d[i];
	u = i;
      }
    }
    if( u == -1 ) break;
    //    if( mincost == INFTY ) break;
    color[u] = BLACK;

    for( v = 0; v < n; v++ ){
      if( color[v] != BLACK && M[u][v] != INFTY ){
	if( d[u] + M[u][v] < d[v] ){
	  d[v] = d[u] + M[u][v];
	  p[v] = u;
	  color[v] = GRAY;
	}
      }
    }
  }

  for( i = 0; i < n; i++ ){
    cout << i << " ";
    if( d[i] == INFTY ) cout << -1;
    else cout << d[i];
    cout << endl;
  }
}

int main(){
 
  cin >> n;

  for( i = 0; i < n; i++ ){
    for( j = 0; j < n; j++ ){
      M[i][j] = INFTY;
    }
  }

  for( i = 0; i < n; i++ ){
    cin >> u >> k;
    for( j = 0; j < k; j++ ){
      cin >> v >> c;
      M[u][v] = c;
    }
  }
  
  dijkstra();

  return 0;
}