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 <utility>
using namespace std;

const int MAX = 10000;
const int INF = 1 << 29;

int n;
vector<pair<int, int>> cost[MAX];

void solve()
{
	int ans[MAX];
	bool visited[MAX];
	priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> PQ;

	for (int i = 0; i < n; i++) {
		ans[i] = INF;
		visited[i] = false;
	}

	ans[0] = 0;

	PQ.push(make_pair(0, 0));

	while (PQ.empty() == false) {
		pair<int, int> p = PQ.top();
		PQ.pop();

		visited[p.second] = true;

		if (ans[p.second] < p.first) {
			continue;
		}

		for (unsigned int i = 0; i < cost[p.second].size(); i++) {
			int v = cost[p.second][i].second;

			if (visited[v] == true) {
				continue;
			}

			if (ans[v] > ans[p.second] + cost[p.second][i].first) {
				ans[v] = ans[p.second] + cost[p.second][i].first;
				PQ.push(make_pair(ans[v], v));
			}
		}
	}


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

int main()
{
	cin >> n;

	for (int i = 0; i < n; i++) {
		int num;
		cin >> num >> num;

		for (int j = 0; j < num; j++) {
			int v, c;
			cin >> v >> c;
			cost[i].push_back(make_pair(c, v));//(?????¢,?????????
		}
	}


	solve();

	return 0;
}

C++: #include <bits/stdc++.h>
using namespace std;
#define INT_MAX 10000000
#define MAX 10001

int d[MAX];
int n;
priority_queue<pair<int,int> > q;
vector<pair<int,int> > adj[MAX];
vector<int> s;

int check(int point){
    if(find(s.begin(), s.end(), point) != s.end()){
        //printf("%d in q\n",point);
        return 1;
    }
    else{
        //printf("%d not in q\n",point);
        return 0;
    }
}

void dijk(){
    q.push(make_pair(0,0));
    int new_node, v;
    while(s.size()!=n){
        // get smallest value
        pair<int,int> pa = q.top();
        new_node = pa.second;
        if(check(new_node)==0){
            s.push_back(new_node);
        }

        q.pop();

        for(int i=0;i<adj[new_node].size();++i){
            v = adj[new_node][i].first;
            if(d[new_node]+adj[new_node][i].second<d[v]){
                d[v] = d[new_node]+adj[new_node][i].second;
                q.push(make_pair(d[v]*(-1),v));
            }
        }
    }
}

int main(){
    int id, pair_n, source, dis;
    int value;
    //FILE *fp=fopen("In3.txt","r");
    scanf("%d",&n);
    for(int i=0;i<n;++i){
        scanf("%d %d",&id, &pair_n);
        //cin >> id >> pair_n;
        for(int j=0;j<pair_n;++j){
            scanf("%d %d",&source, &dis);
            //cin >> source >> dis;
            adj[id].push_back(make_pair(source,dis));
        }
    }
    d[0] = 0;
    for(int i=1;i<n;++i){
        d[i] = INT_MAX;
    }
    dijk();
    for(int i=0;i<n;++i){
        printf("%d %d\n",i,d[i]);
    }

    return 0;
}

C++: #include<iostream>
using namespace std;
#include<queue>
#include<vector>
#include<string>
#include<string.h>
#include<algorithm>
bool b[2003];

#define REP(i, a) for(int i=0;i<a;i++)
	int N=(1<<20);
int main()
{
	pair<int,int> f;
	vector < pair<int,int> > A[10001];
	priority_queue < pair < int,int > > PQ;
	int min,b,a,k,m,n ,e,p[101],d[101],u,v; //u ?????????v????????¨
	bool color[10001];

	cin>>n;
	REP(i, n) {
		cin>>u>>k;
		REP(i, k) {
			cin>>a>>b;
			if(b==-1) b=N;
			A[u].push_back(make_pair(a,b));
		}
		color[i]=0;
		d[i]=N;
	}
	a=0;
	d[0]=0;
	PQ.push(make_pair(0,0));
	while(!PQ.empty()){
		f=PQ.top();
		PQ.pop();
		u=f.second;
		color[u]=1;
		REP(i,A[u].size()){
			v=A[u][i].first;
			if(color[v]==1){
			continue;
			}
				if(d[v]>A[u][i].second+d[u]){
					d[v]=A[u][i].second+d[u];
					PQ.push(make_pair(d[v]*-1,v));
				}
		}
	}
	REP(i,n){
		cout<<i<<" "<<(d[i] == N ? -1 : d[i])<<endl;
	
	}
	return 0;
}

C++: #include<stdio.h>
#include<vector>
#include<queue>
#include<map>
#include<algorithm>
#include<queue>
#include<functional>
using namespace std;
int main(){
	int s;
	int g;
	int a;
	int b;
	int f;
	int t;
	vector<int> n[10000];
	int nn[10000];
	vector<int> x[10000];
	priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>>y;
	vector<pair<int, int>>::iterator yy;
	int z;
	int d[10000];
	int e;
	int c[10000];
	int p;
	int q;
	int zz;
	pair<int, int>pai;
	for (int i = 0; i < 10000; i++){
		d[i] = 1000000009;
		c[i] = 0;
	}
	scanf("%d", &a);
	for (int i = 0; i < a; i++){
		scanf("%d %d", &s, &b);
		for (int j = 0; j < b; j++){
			scanf("%d %d",&t, &e);
			if (s > t){
				n[s].push_back(t);
				n[t].push_back(s);
				nn[s]++;
				nn[t]++;
				x[s].push_back(e);
				x[t].push_back(e);
			}
		}
	}
	d[0] = 0;
	y.push(std::make_pair(d[0], 0));
	for (int i = 0; y.empty() == 0; i++){
		zz = 0;
		for (int j = 0; y.empty() == 0 && zz == 0; j++){
			pai = y.top();
			z = pai.second;
			if (c[z] == 0)zz++;
			else y.pop();
		}
		if (zz == 0)break;
		c[z] = 1;
		for (int j = 0; j < nn[z]; j++){
			if (d[z] + x[z][j] < d[n[z][j]])
			{
				d[n[z][j]] = d[z] + x[z][j];
				y.push(std::make_pair(d[n[z][j]], n[z][j]));
			}
		}
		y.pop();
	}
	for (int i = 0; i < a; i++){
		printf("%d %d\n",i, d[i]);
	}

	return 0;
}