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<bits/stdc++.h>
typedef long long int ll;
typedef unsigned long long int ull;
#define BIG_NUM 2000000000
#define HUGE_NUM 1000000000000000000
#define MOD 1000000007
#define EPS 0.000000001
using namespace std;



#define SIZE 100005

struct Edge{
	Edge(int arg_to,int arg_dist){
		to = arg_to;
		dist = arg_dist;
	}
	int to,dist;
};

struct Info{
	Info(int arg_node_id,int arg_sum_dist){
		node_id = arg_node_id;
		sum_dist = arg_sum_dist;
	}
	bool operator<(const struct Info &arg) const{

		return sum_dist > arg.sum_dist; //総距離の昇順(PQ)
	}

	int node_id,sum_dist;
};

int V;
int min_dist[SIZE];
vector<Edge> G[SIZE];

int main(){

	scanf("%d",&V);

	int node_id,num_node,to,dist;

	for(int i = 0; i < V; i++){

		scanf("%d %d",&node_id,&num_node);
		for(int k = 0; k < num_node; k++){

			scanf("%d %d",&to,&dist);
			G[node_id].push_back(Edge(to,dist));
		}
	}

	for(int i = 0; i < V; i++){

		min_dist[i] = BIG_NUM;
	}

	priority_queue<Info> Q;
	min_dist[0] = 0;

	Q.push(Info(0,0));

	while(!Q.empty()){

		if(Q.top().sum_dist > min_dist[Q.top().node_id]){

			Q.pop();

		}else{

			for(int i = 0; i < G[Q.top().node_id].size(); i++){

				int next_node = G[Q.top().node_id][i].to;
				int next_dist = Q.top().sum_dist+G[Q.top().node_id][i].dist;

				if(min_dist[next_node] > next_dist){
					min_dist[next_node] = next_dist;
					Q.push(Info(next_node,next_dist));
				}
			}
			Q.pop();
		}
	}

	for(int i = 0; i < V; i++){

		printf("%d %d\n",i,min_dist[i]);
	}

	return 0;
}

C++: //dijkstra算法
#include <iostream>
#include <vector>
#include <queue>

using namespace std;

//INFTY要足够大
const int INFTY = 1 << 21;

const int N = 10000;

vector<pair<int,int> >Graph[N];

int n;

void dijkstra(int u0) {
	int *d = new int[n];
	char *color = new char[n];
	for (int i=0; i<n; i++) {
		d[i] = INFTY;
		color[i] = 'W';
	}

	d[u0] = 0;
	color[u0] = 'G';
	priority_queue<pair<int,int> > PQ;
	PQ.push(make_pair(0,u0));

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

		color[u] = 'B';

		//if (d[u] < f.first * -1) continue;

		for (int i=0; i<Graph[u].size(); i++) {
			pair<int,int> p = Graph[u][i];
			int v = p.first;
			if (color[v] != 'B'&& d[v] > d[u] + p.second) {
				d[v] = d[u] +p.second;
				color[v] = 'G';
				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() {

	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;
			Graph[u].push_back(make_pair(v,c));
		}
	}
	dijkstra(0);
	return 0;
}

C++: //
//  main.cpp
//
//
//  Created by ???????????? on 2017/10/23.
//  Copyright ?? 2017 ????????????. All rights reserved.
//

#include <iostream>
#include <stdio.h>
#include <queue>
#include <algorithm>


#define n_max 10000
#define WHITE 0
#define GRAY 1
#define BLACK 2
#define INFTY 1<<20

using namespace std;

int n, color[n_max], d[n_max], p[n_max];

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


void init(){
    int i, j, id, num, node, weight;
    scanf("%d", &n);
    
    for(i = 0; i < n; i++){
        scanf("%d %d", &id, &num);
        for(j = 0; j < num; j++){
            scanf("%d", &node);
            scanf("%d", &weight);
            adj[id].push_back(make_pair(node, weight));
        }
        color[i] = WHITE;
        d[i] = INFTY;
    }
}

void dijkstra(){
    //initializing
    d[0] = 0;
    p[0] = -1;
    
    priority_queue<pair<int,int> > PQ;
    
    PQ.push(make_pair(0, 0));
    
    int u;
    while(!PQ.empty()){
        //first weight, second idx
        pair<int, int> f= PQ.top(); PQ.pop();
        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){
                if((d[u] + adj[u][j].second) < d[v]){
                    d[v] = adj[u][j].second + d[u];
                    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 argc, const char * argv[]) {
    init();
    dijkstra();
    return 0;
}

C++: #include<stdio.h>
#include<queue>
#include<string.h>
using namespace std;
#define INF 1 << 30
struct ss{
	int next;
	int to;
	int val;
}e[200050];
int head[200050];
int tot;
void add(int x,int y,int val){
	e[tot].next=head[x];
	e[tot].to=y;
	e[tot].val=val;
	head[x]=tot++;
}
int n;
int vis[200000];
int dis[200050];
void spfa(){
	for(int i=0;i<n;i++){
		dis[i]=INF;
	}
	vis[0]=1;
	dis[0]=0;
	queue<int> st;
	st.push(0);
	while(!st.empty()){
		int t=st.front();
		st.pop();
		vis[t]=0;
		for(int i=head[t];i!=-1;i=e[i].next){
			int to=e[i].to;
			if(dis[to]>dis[t]+e[i].val){
				dis[to]=dis[t]+e[i].val;
				if(!vis[to]){
					st.push(to);
					vis[to]=1;
				}
			}
		}
	}
}
int main(){
	scanf("%d",&n);
	tot=0;
	memset(head,-1,sizeof(head));
	int a,to,val,num;
	for(int i=0;i<n;i++){
		scanf("%d %d",&a,&num);
		for(int j=1;j<=num;j++){
			scanf("%d %d",&to,&val);
			add(a,to,val);
		}
	}
	spfa();
	printf("0 0\n");
	for(int i=1;i<n;i++){
		printf("%d %d\n",i,dis[i]);
	}
	return 0;
}