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;

int cost[10000][10000];//cost[a][b] a??????b????§?????????????????????????
long long int d[10000];//??????s?????????????°??????¢
bool used[10000];
int arrow;//????????°

const int INF = 10000000;

void dijkstra(){
  fill(d,d+arrow,INF);
  fill(used,used + arrow,false);
  d[0] = 0;

  while(1){
    int v=-1;
    // ???????????????????????????????????????????????¢???????°???????????????¢???
    for(int u=0;u<arrow;u++){
      if(!used[u] && (v == -1 || d[u] < d[v])) v = u;
    }

    if(v == -1) break;

    used[v] = true;

    for(int u=0; u<arrow; u++){
      if(cost[v][u] != INF){
        d[u] = min(d[u],d[v] + cost[v][u]);
      }
    }
  }

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

}

int main(){

    cin >> arrow;

    int n,a,v,c;



    for(int i=0;i<arrow;i++){
      for(int j=0;j<arrow;j++){
        cost[i][j] = INF;
      }
    }

    for(int u=0;u<arrow;u++){

      cin >> n >> a;

      for(int i=0; i<a;i++){
        cin >> v >> c;
        cost[n][v] = c;
      }
    }

    dijkstra();

    return 0;
}

C++: #include<iostream>
#include<algorithm>
#include<queue>

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;

void dijkstra(int n, std::vector<std::pair<int, int> > adj[MAX]) {
	std::priority_queue<std::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(std::make_pair(0, 0));
	color[0] = GRAY;

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

		//????°???????????????????????????????????????§???????????°??????
		if (d[u] < f.first * (-1))continue;
		
		for (size_t 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;
				//priority_queue????????????????????§??§??????????????????????????????-1????????????
				PQ.push(std::make_pair(d[v] * -1, v));
				color[v] = GRAY;
			}
		}
	}

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

int main() {
	std::vector<std::pair<int, int> > adj[MAX];
	int n;

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

	dijkstra(n, adj);
	
	return 0;
}

C++: #include<bits/stdc++.h>
#define F first
#define S second
using namespace std;
typedef pair<int,int>P;
typedef vector<P>VP;
int main(void){
	int n;
	int u,k,v,c;
	int i,j;
	VP vp[10001];
	bool flg[10001]={false};
	int d[10001];
	P pp;
	int x,y,cost,ncost;
	priority_queue<P,VP,greater<P>>que;
	int cnt;
	cin>>n;
	for(i=0;i<n;i++){
		cin>>u>>k;
		for(j=0;j<k;j++){
			cin>>v>>c;
			vp[u].push_back(make_pair(c,v));
		}
	}
	que.push(make_pair(0,0));
	cnt=0;
	while(!que.empty()){
		pp=que.top();
		que.pop();
		cost=pp.F;
		x=pp.S;
		if(!flg[x]){
			flg[x]=true;
			d[x]=cost;
			cnt++;
			if(cnt==n)	break;
			for(i=0;i<vp[x].size();i++){
				y=vp[x][i].S;
				ncost=vp[x][i].F;
				if(!flg[y]){
					que.push(make_pair(cost+ncost,y));
				}
			}
		}
	}
	for(i=0;i<n;i++)	cout<<i<<" "<<d[i]<<endl;
	return 0;
}

C++: #include <iostream>
#include <vector>
#include <algorithm>
#include <queue>
#define MAX 10000
#define WHITE 0
#define GRAY 1
#define BLACK 2
#define INF 11<<20
using namespace std;

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] = INF;
		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++){
		if(d[i] == INF)cout << i << " " << -1 <<endl;
		else cout << i << " " << d[i] << endl;
	}
}

int main(){
	int u,k,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;
}