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>

#define rep(n) for(int i=0;i<n;i++)
#define repp(j, n) for(int j=0;j<n;j++)
#define reppp(i, m, n) for(int i=m;i<n;i++)
#define all(c) c.begin(), c.end()
#define rall(c) c.rbegin(), c.rend()

using namespace std;

typedef long long ll;
typedef pair<ll, ll> Pll;
typedef pair<int, int> Pii;
struct edge{int from, to; ll cost;};

const ll MOD = 1000000007;
const double EPS = 1e-9;

map<ll, ll> d;
priority_queue< Pll, vector<Pll>, greater<Pll> > que;
map<ll, vector<Pll> > edges;

void dijkstra(ll start){
    d[start] = 0;
    que.push(Pll(0, start));

    while(!que.empty()){
        Pll v = que.top(); que.pop();
        if(d.find(v.second) != d.end() && d[v.second] < v.first) continue;
        rep(edges[v.second].size()){
            Pll e = edges[v.second][i];
            if(d.find(e.first) == d.end() || d[e.first] > d[v.second] + e.second){
                d[e.first] = d[v.second] + e.second;
                que.push(Pll(d[e.first], e.first));
            }
        }
    }
}

int main(){
    std::ios::sync_with_stdio(0); cin.tie(0);
    int n;
    cin >> n;

    rep(n){
        ll u, k, c, v;
        cin >> u >> k;
        repp(j, k){
            cin >> v >> c;
            edges[u].emplace_back(v, c);
        }
    }

    dijkstra(0);
    repp(u, n){
        cout << u << " " << d[u] << endl;
    }

}

C++: #include<iostream>
using namespace std;
#define max 100
#define infty 1<<21

int n;
int d[max];
int aa[max][max];
int color[max];

void soya() {
	d[0] = 0;
	while (1) {
		int x = infty;
		for (int i = 0; i < n; i++) {
			if (x != infty) {
				if (d[i] < d[x] && color[i] != 2) {
					x = i;
				}
			}
			else {
				if (d[i] < x && color[i] != 2) {
					x = i;
				}
			}
		}

		if (x == infty) break;
		else {
			color[x] = 2;
			for (int i = 0; i < n; i++) {
				if (aa[x][i] != -1 && d[x] + aa[x][i] < d[i]) {
					d[i] = d[x] + aa[x][i];
				}
			}
		}
	}
}

int main() {
	for (int i = 0; i < max; i++) {
		color[i] = 0;
		d[i] = infty;
	}

	for (int i = 0; i < max; i++) {
		for (int j = 0; j < max; j++) {
			aa[i][j] = -1;
		}
	}

	cin >> n;
	for (int i = 0; i < n; i++) {
		int id;
		int k;
		cin >> id >> k;
		for (int j = 0; j < k; j++) {
			int num1;
			int kyori;
			cin >> num1 >> kyori;
			aa[id][num1] = kyori;
		}
	}

	soya();

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

	return 0;
}

C++: #include<bits/stdc++.h>
using namespace std;
typedef long long ll;
#define loop(i,a,b) for(i=a;i<b;i++)
#define rloop(i,a,b) for(i=a;i>=b;i--)
#define vi vector<int>
#define vl vector<ll>
#define vii vector< vector<int> >
#define vll vector< vector<ll> >
#define vs vector<string>
const int inf=1000000001;
const ll INF=1e16;
#define MOD 1000000007
#define mod 1000000009
#define pi 3.14159265358979323846
static const int WHITE=0;
static const int GRAY=1;
static const int BLACK=2;
static const int N=100;

int n;
vii m(N,vi(N));
vi d(N,inf);

void dijkstra();

int main(){
	int i,j;
	cin>>n;
	int u,k,v,c;
	loop(i,0,n){
		loop(j,0,n){
			m[i][j]=inf;
		}
	}
	loop(i,0,n){
		cin>>u>>k;
		loop(j,0,k){
			cin>>v>>c;
			m[u][v]=c;
		}
	}
	dijkstra();
	loop(i,0,n){
		cout<<i<<" "<<d[i]<<endl;
	}
}

void dijkstra(){
	int i;
	d[0]=0;
	vi color(n,WHITE);
	color[0]=BLACK;
	int u=0;
	while(1){
		int minv=inf,v=-1;
		loop(i,0,n){
			if(color[i]!=BLACK){
				d[i]=min(d[i],d[u]+m[u][i]);
				if(minv>d[i]){
					minv=d[i];
					v=i;
				}
			}
		}
		if(v==-1){
			break;
		}
		color[v]=BLACK;
		u=v;
	}
	
}

C++: #include <iostream>
using namespace std;
#include <algorithm>
#include <string>
#define INF 1000000

int flg[100];

bool check(int p){

	if (flg[p] == 1) return false;
	return true;
}

int main(void){

	int n;

	cin >> n;
	int u, k;
	int date[100][100]; //date[??????????????????][?????´?????????]
	int dis[100]; //0????????????????????????????????¢

	memset(date, INF, sizeof(date));
	memset(dis, INF, sizeof(dis));
	memset(flg, 0, sizeof(flg));
	date[0][0] = 0;
	dis[0] = 0;
	for (int i = 0; i < n; i++){

		cin >> u >> k;
		for (int j = 0; j < k; j++){

			int v, c;
			cin >> v >> c;
			date[u][v] = c;
		}
	}

	while(1){
		int mini = INF;
		int p = -1;
		for (int i = 0; i < n; i++){
			if (check(i) && mini > dis[i]){
				p = i;
				mini = dis[i];
			}
		}
		if (p == -1) break;
		flg[p] = 1;
		for (int i = 0; i < n; i++){
			if (check(i) && dis[i] > dis[p] + date[p][i]){
				dis[i] = dis[p] + date[p][i];
			}
		}
	}

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