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 <queue>
#include <functional>
#include <string.h>

using namespace std;
static const int INF = 2e9;
static const int SIZE = 10001;
typedef pair<int, int> P;
struct edge
{
	int to;
	int cost;
};

int d[SIZE];
vector<edge> G[SIZE];

void solve()
{
	int n;
	cin >> n;
	for (int i = 0; i < n; ++i)
	{
		int u, k;
		cin >> u >> k;
		for (int j = 0; j < k; ++j)
		{
			int to, cost;
			cin >> to >> cost;
			edge e1;
			e1.to = to;
			e1.cost = cost;
			G[u].push_back(e1);
		}
	}
	for (int i = 0; i < SIZE; ++i)
	{
		d[i] = INF;
	}
	d[0] = 0;
	priority_queue<P, vector<P>, greater<P> > pque;
	pque.push(P(0, 0));
	while (!pque.empty())
	{
		P p = pque.top();
		pque.pop();
		int v = p.second;
		for (int i = 0; i < G[v].size(); ++i)
		{
			edge e = G[v][i];
			if (d[e.to] > d[v] + e.cost)
			{
				d[e.to] = d[v] + e.cost;
				pque.push(P(d[e.to], e.to));
			}
		}
	}
	for (int i = 0; i < n; ++i)
	{
		cout << i << " " << d[i] << endl;
	}
}

int main()
{
	solve();
	return(0);
}

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

#define INF 20000000
typedef struct Edge edge;

struct Edge{
  int src,dst,weight;
  Edge(int start,int end,int cost) :
	src(start),dst(end),weight(cost) {}
};

bool operator < (const edge &e,const edge &f){
  return (e.weight != f.weight) ? (e.weight > f.weight) : (e.src != f.src) ? (e.src < f.src) : (e.dst < f.dst);
}

typedef vector<edge> Edges;

vector<int> dijkstra(Edges,int);

int main(int argc,char* argv[]){
  int n,v,k,dst,weight;
  Edges es;
  vector<int> vec;

  cin >> n;
  for(int i = 0;i < n;i++){
	cin>> v >> k;
	vec.push_back(v);
	for(int j = 0;j < k;j++){
	  cin >> dst >> weight;
	  edge e(i,dst,weight);
	  es.push_back(e);
	}
  }

  vector<int> dist = dijkstra(es,n);

  for(int i = 0;i < n;i++)
	printf("%d %d\n",vec[i],dist[i]);
  return 0;
}

vector<int> dijkstra(Edges es,int n){
  vector<int> dist(n);
  priority_queue<edge> que;
  Edges l[n];
  dist.assign(n,INF);
  dist[0] = 0;

  for(int i = 0;i < (int)es.size();i++){
	edge e = es[i];
	l[e.src].push_back(e);
  }

  for(int i = 0;i < (int)l[0].size();i++)
	que.push(l[0][i]);

  while(!que.empty()){
	edge e = que.top();
	que.pop();
	if(dist[e.dst] > dist[e.src] + e.weight){
	  dist[e.dst] = dist[e.src] + e.weight;

	  for(int i = 0;i < (int)l[e.dst].size();i++)
		que.push(l[e.dst][i]);
	}
  }

  return dist;
}

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

#define INF (1<<21)

int n,vis[10001];
vector<pair<int, int> > adj[10001];

void dijkstra(){
    int i,j,k,v;
    priority_queue<pair<int,int> > PQ;
    int d[10001];
    for( i = 0; i < n; i++ ){
        d[i] = INF;
    }
    d[0] = 0;
    PQ.push(make_pair(0,0));
    while(!PQ.empty()){
        pair<int,int> f = PQ.top();
        PQ.pop();
        int u = f.second;
        vis[u] = 1;
        if( d[u] < f.first*(-1) ) continue;
        for( j = 0; j < adj[u].size(); j++ ){
            v = adj[u][j].first;
            if(vis[v]) 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));
            }
        }
    }
    for( i = 0; i < n; i++ ){
        cout << i << " " << (d[i]==INF?-1:d[i]) <<endl;
    }
}

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

C++: #include <bits/stdc++.h>
using namespace std;

vector<int> d;
vector<vector<pair<int, int>>> edge;

void dijkstra(int s){
	priority_queue<pair<int, int>> pq;
	pq.push(make_pair(0, s));

	while(!pq.empty()){
		int cost = pq.top().first;
		int v = pq.top().second;
		pq.pop();

		if(d[v] != 1) continue;

		d[v] = cost;

		for(auto e : edge[v]){
			if(d[e.second] == 1){
				pq.push(make_pair(cost + e.first, e.second));
			}
		}
	}
}

int main(){
	int n; cin >> n;

	d.resize(n, 1);
	edge.resize(n);
	for(int i=0; i<n; ++i){
		int v, k; cin >> v >> k;
		for(int l=0; l<k; ++l){
			int a, c; cin >> a >> c;
			edge[v].push_back(make_pair(-c, a));
		}
	}

	dijkstra(0);

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

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;
}