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(i, n) for(int i = 0; i < (n); ++i)

using namespace std;
using ll = long long;
using v1 = vector<int>;
using vl = vector<long long>;
using v2 = vector<vector<int>>;
using v3 = vector<vector<char>>;

static const int MAX = 100000;
static const int BLACK = -1;
static const int WHITE = 0;
static const int GLAY = 1;
static const int INFTY = 1e9;

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

void pdai(){
	priority_queue<pair<int, int>> PQ;
	int d[MAX];
	int color[MAX];
	rep(i, n){
		d[i] = INFTY;
		color[i] = WHITE;
	}
	PQ.push(make_pair(0, 0));
	color[0] = GLAY;
	d[0] = 0;
	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 i = 0; i < adj[u].size(); i++){
			int v = adj[u][i].first;
			if(color[v] != BLACK && 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] = GLAY;
			}
		}
	}
	rep(i, n){
		if(d[i] == INFTY) d[i] = -1;
		cout << i << " " << d[i] << endl;
	}
}

int main(){
	cin >> n;
	int u, k, v, c;
	rep(i, n){
		cin >> u >> k;
		rep(j, k){
			cin >> v >> c;
			adj[u].push_back(make_pair(v, c));
		}
	}
	pdai();
}

C++: #include <iostream>
#include <vector>
#include <queue>
#define INF 1e9
using namespace std;

int main(){
    //declaration and input
    int n;
    cin >> n;
    int u, k;
    vector<vector<pair<int, int>>> graph(n);
    for (int i = 0; i < n; i++){
        cin >> u >> k;
        int v, c;
        for (int j = 0; j < k; j++){
            cin >> v >> c;
            graph[u].push_back(make_pair(c, v));
        }
    }
    vector<int> cost(n, INF);
    vector<bool> is_visit(n, false);
    vector<int> parent_of(n, -1);

    //dijkstra
    //init
    cost[0] = 0;
    priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> que;
    que.push(make_pair(0, 0));

    //loop
    while (!que.empty()){
        pair<int, int> p = que.top();
        que.pop();
        int c = p.first; //cost
        int v = p.second; //vertax
        is_visit[v] = true;
        if (c > cost[v])
            continue;
        for (int i = 0; i < graph[v].size(); i++){
            if (!is_visit[graph[v][i].second]){
                if (cost[v] + graph[v][i].first < cost[graph[v][i].second]){
                    cost[graph[v][i].second] = cost[v] + graph[v][i].first;
                    que.push(make_pair(cost[graph[v][i].second], graph[v][i].second));
                    parent_of[graph[v][i].second] = v;
                }
            }
        }
    }

    //output
    for (int i = 0; i < n; i++){
        cout << i << ' ' << cost[i] << endl;
    }
    return 0;
}

C++: #include<cstdio>
#include<iostream>
#include<stack>
#include<vector>
#include<algorithm>
#include<cstring>
#include<cstdlib>
#define _USE_MATH_DEFINES // M_PI????????????????????????
#include<math.h>
#include<queue>
#pragma warning(disable:4996)
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;
				// priority_queue????????????????????§??§??????????????????????????????-1????????????
				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] ) << "\n";
	}
}

int main(){
	int k, u, v, c;
	cin >> n;

	for(int i=0; i<n; i++){
		cin >> u >> k;
		for(int j=0; j<n; j++){
			cin >> 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;
	vector<int> color(MAX,WHITE);
	vector<int> d(MAX,INFTY);
	
	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.first;

		color[u] = BLACK;

		if (d[u] < f.second*(-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(v, d[v] * (-1)));
				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;
}