Go: package main

import (
	"bufio"
	"container/heap"
	"fmt"
	"os"
	"strconv"
)

//make priority queue
type Item struct {
	id       int
	priority int // this state is priority and distans from start
	index    int
}

type PriorityQueue []*Item

func (pq PriorityQueue) Len() int { return len(pq) }

// we want the ascending-priority-queue.
// So we use less than here.
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 = j
	pq[j].index = i
}

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
}

func (pq *PriorityQueue) update(dist int, id int) {
	for _, i := range *pq {
		if i.id == id {
			if i.priority > dist {
				i.priority = dist
			}
		}
	}
}

// the main code
func nextInt(sc *bufio.Scanner) int {
	sc.Scan()
	n, _ := strconv.Atoi(sc.Text())
	return n
}

func dikstra(dist [][]int, n int) []int {
	// preparate priority queue
	inf := 1 << 30
	pq := make(PriorityQueue, n)
	shortests := make([]int, n)
	for i := 0; i < n; i++ {
		pq[i] = &Item{
			id:       i,
			priority: inf,
			index:    i,
		}

		shortests[i] = inf
	}
	pq[0].priority = 0
	shortests[0] = 0
	heap.Init(&pq)

	for pq.Len() > 0 {
		item := heap.Pop(&pq).(*Item)
		shortests[item.id] = item.priority
		for id, d := range dist[item.id] {
			if d != -1 {
				pq.update(item.priority+d, id)
			}
		}
		heap.Init(&pq)
	}
	return shortests
}

func main() {
	sc := bufio.NewScanner(os.Stdin)
	sc.Split(bufio.ScanWords)

	// init
	n := nextInt(sc)
	dist := make([][]int, n)
	for i := 0; i < n; i++ {
		dist[i] = make([]int, n)
		for j := 0; j < n; j++ {
			dist[i][j] = -1
		}
	}

	// std Input
	for i := 0; i < n; i++ {
		u := nextInt(sc)
		k := nextInt(sc)
		for j := 0; j < k; j++ {
			v, c := nextInt(sc), nextInt(sc)
			dist[u][v] = c
		}
	}

	shortests := dikstra(dist, n)
	for i, d := range shortests {
		fmt.Printf("%d %d\n", i, d)
	}
}

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

const int MAX   = 10000;
const int INFTY = (1<<20);
const int WHITE = 0;
const int GRAY  = 1;
const int BLACK = 2;

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

void Dijkstra() {
    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 (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(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() {
    int k, u, v, c;

    std::cin >> n;
    for (int i = 0; i < n; i++) {
        std::cin >> u >> k;
        for (int j = 0; j < k; j++) {
            std::cin >> v >> c;
            adj[u].push_back(std::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.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 <vector>
#include <queue>
#include <algorithm>

using namespace std;

typedef pair<int,int> PII;
#define INF 1001001001
#define rep(i,n) for(int i=0; i<n; ++i)
#define mp make_pair

struct edge{
    unsigned short to;
    int cost;
    edge(unsigned short to,int cost):to(to),cost(cost){}
};

int V;
vector<edge> G[10000];
int d[10000];
bool used[10000];

void dijkstra(int s){
    priority_queue<PII, vector<PII>, greater<PII>> Q;
    fill(d,d+V,INF);
    d[s]=0;
    Q.push(mp(0,s));

    while(!Q.empty()){
        PII p=Q.top();Q.pop();
        int v=p.second;
        used[v]=true;
        if(d[v]<p.first) continue;
        rep(i,G[v].size()){
            edge e=G[v][i];
            if(!used[e.to]&&d[e.to]>d[v]+e.cost){
                d[e.to]=d[v]+e.cost;
                Q.push(mp(d[e.to],e.to));
            }
        }
    }
}
int n;
int main(){
    cin>>V;
    rep(j,V){
        int u,k;
        cin>>u>>k;
        rep(t,k){
            int v, c;
            cin>>v>>c;
            G[u].push_back(edge(v,c));
        }
    }
    dijkstra(0);
    rep(i,V){
        cout<<i<<" "<<d[i]<<endl;
    }
    return 0;
}

C++: #include<iostream>
using namespace std;
#include<cstdio>
#include<vector>
#include<utility>
#include<queue>

typedef vector<pair<int, int> > adj;

struct current_cost
{
    int index, cost;
    bool operator < (const current_cost &cur) const
    {
        return cost > cur.cost;
    }
};

current_cost init(int i, int c)
{
    current_cost cur;
    cur.index = i, cur.cost = c;
    return cur;
}

int main()
{
    int i, j, k, n, m, next, cost;
    scanf("%d", &n);
    adj *adlist;
    adlist = new adj [n];

    for(k = 0; k < n; k++){
        scanf("%d %d", &i, &m);
        for(j = 0; j < m; j++){
            scanf("%d %d", &next, &cost);
            adlist[i].push_back(make_pair(next, cost));
        }
    }

    int *d;
    d = new int [n];
    for(i = 1; i < n; i++){ d[i] = 200000; }
	d[0] = 0;

    priority_queue<current_cost> C;
    current_cost cur = init(0, 0);
    C.push(cur);

    int size;
    bool *check;
    check = new bool [n];
    for(i = 0; i < n; i++){ check[i] = false; }
	int rest = n;

    while(!C.empty())
    {
        cur = C.top(); C.pop();
		i = cur.index;
        if(check[i]) continue;
        check[i] = true; rest--;
 
        size = adlist[i].size();
        for(j = 0; j < size; j++){
            k = adlist[i][j].first;
            if(d[i] + adlist[i][j].second < d[k]){
                d[k] = d[i] + adlist[i][j].second;
                C.push(init(k, d[k]));
            }
        }
		if(rest == 0) break;
    };
    for(i = 0; i < n; i++){ printf("%d %d\n", i, d[i]); }

    return 0;
}