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> 
using namespace std; 
typedef long long ll; 
#define FOR(I,A,B) for(ll I = (A); I < (B); ++I) 
const ll INF=1e9+7; 
const ll N = 101; 
  
 
class dijkstra{ 
//0indexed 
public: 
	int v,startv; 
	vector<int> d; 
	vector<vector<pair<int,int> > >e; 

void initsize(int n0){ 
	d.resize(n0); 
	for(int i=0;i<n0;i++)d[i]=INT_MAX; 
	vector<pair<int,int> > ep; 
	for(int i=0;i<n0;i++)e.push_back(ep); 
	v=n0; 
}  
 
void initstart(int s){ 
	startv=s;
	d[s]=0;
}
 
void make_edge(int x,int y,int cost){ 
	e[x].push_back(make_pair(y,cost)); 
	e[y].push_back(make_pair(x,cost)); 
}
 
void make_edgedir(int x,int y,int cost){ 
	e[x].push_back(make_pair(y,cost)); 
}
 
void calcdistance(){ 
	// <-cost,x> 
	//cost startv->x 
	priority_queue<pair<int,int> > q; 
	pair<int,int> p; 
	vector<bool> did; 
	for(int i=0;i<v;i++)did.push_back(false); 
	did[startv]=true; 
	for(int i=0;i<e[startv].size();i++){ 
		p.first=-e[startv][i].second; 
		p.second=e[startv][i].first; 
		q.push(p); 
	}
 
	while(q.size()!=0){ 
		pair<int,int> p; 
		p=q.top(); 
		q.pop(); 
		int x,costsx; 
		x=p.second; 
		costsx=-p.first; 
		if(did[x]==true)continue; 
		did[x]=true; 
		d[x]=costsx; 
 
		for(int i=0;i<e[x].size();i++){ 
			p.first=-(d[x]+e[x][i].second); 
			p.second=e[x][i].first; 
			if(did[p.second]==false)q.push(p); 
		}
	}
}
};

int main(){ 
	dijkstra di;
	int n;
	cin>>n;
	di.initsize(n);
	di.initstart(0);
	FOR(i,0,n){
		int u,k;
		cin>>u>>k;
		FOR(j,0,k){
			int x,co;
			cin>>x>>co;
			di.make_edgedir(u,x,co);
		}
	}
	di.calcdistance();
	FOR(i,0,n){
		cout<<i<<" "<<di.d[i]<<endl;
	}
	return 0; 
}

C++: #include <iostream>
#include <cstdio>
#include <cstring>
#include <vector>
#include <queue>

using namespace std;

const int maxn=10000;
const int inf=(1<<20);

int n;
vector<pair<int,int> > adj[maxn];

void Dijkstra(){
    priority_queue<pair<int,int> > PQ;
 //   int color[maxn];
    bool vis[maxn];
    int d[maxn];
    for(int i=0;i<n;i++){
        d[i]=inf;
     //   color[i]=white;
        vis[i]=false;
    }

    d[0]=0;
    PQ.push(make_pair(0,0));
 //   color[0]=gray;
  //  vis[0]=1;

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

      //  color[u]=black;
        vis[u]=true;

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

        for(int j=0;j<adj[u].size();j++){
            int v=adj[u][j].first;
            if(vis[v]==true) continue;
            if(d[v]>d[u]+adj[u][j].second){
                d[v]=d[u]+adj[u][j].second;
    // priority_queue priority_queue 默认优先较大值， 因此要乘以-1。
                PQ.push(make_pair(d[v]*(-1),v));
              //  vis[v]=true;这句不能加
              //  color[v]=gray;
            }
        }
    }

    for(int i=0;i<n;i++){
        printf("%d %d\n",i,(d[i]==inf?-1:d[i]));
    }
}

int main(){
    int k,u,v,c;

    scanf("%d",&n);
    for(int i=0;i<n;i++){
        scanf("%d%d",&u,&k);
        for(int j=0;j<k;j++){
            scanf("%d%d",&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 <iostream>
#include <algorithm>
#include <vector>
#include <queue>
const int MAX_N = 10000;
const int INF = 999999999;
const int WHITE = 0;
const int GRAY = 1;
const int BLACK = 2;
using namespace std;

int n;
vector<pair<int, int> > adj[MAX_N];
int color[MAX_N];
int d[MAX_N];

void dijkstra(int s) {
    priority_queue<pair<int, int> > PQ;
    for (int i = 0; i < n; i++) {
        color[i] = WHITE;
        d[i] = INF;
    }

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

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

        if (d[u] < edge.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[v] > d[u] + adj[u][i].second) {
                d[v] = d[u] + adj[u][i].second;
                PQ.push(make_pair(d[v]*-1, v));
                color[v] = GRAY;
            }
        }

    }
}

int main(void) {
    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[i].push_back(make_pair(v, c));
        }
    }

    dijkstra(0);

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

    return 0;
}