Go: package main

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

// I/O
type Scanner struct {
	sc *bufio.Scanner
}

func NewScanner() *Scanner {
	sc := bufio.NewScanner(os.Stdin)
	sc.Split(bufio.ScanWords)
	sc.Buffer(make([]byte, 1024), int(1e+9))
	return &Scanner{sc}
}

func (s *Scanner) nextStr() string {
	s.sc.Scan()
	return s.sc.Text()
}

func (s *Scanner) nextInt() int {
	i, e := strconv.Atoi(s.nextStr())
	if e != nil {
		panic(e)
	}
	return i
}

func (s *Scanner) nextFloat() float64 {
	f, e := strconv.ParseFloat(s.nextStr(), 64)
	if e != nil {
		panic(e)
	}
	return f
}

func (s *Scanner) nextRuneSlice() []rune {
	return []rune(s.nextStr())
}

func (s *Scanner) nextIntSlice(n int) []int {
	res := make([]int, n)
	for i := 0; i < n; i++ {
		res[i] = s.nextInt()
	}
	return res
}

func (s *Scanner) nextFloatSlice(n int) []float64 {
	res := make([]float64, n)
	for i := 0; i < n; i++ {
		res[i] = s.nextFloat()
	}
	return res
}

// Arithmetic
func max(nums ...int) int {
	m := nums[0]
	for _, i := range nums {
		if m < i {
			m = i
		}
	}
	return m
}

func min(nums ...int) int {
	m := nums[0]
	for _, i := range nums {
		if m > i {
			m = i
		}
	}
	return m
}

func abs(x int) int {
	if x > 0 {
		return x
	}
	return -x
}

func pow(x, y int) int {
	res := 1
	for i := 0; i < y; i++ {
		res *= x
	}
	return res
}

func ceil(a, b int) int {
	if a%b == 0 {
		return a / b
	} else {
		return a/b + 1
	}
}

// Sort
type RuneSlice []rune

func (a RuneSlice) Len() int           { return len(a) }
func (a RuneSlice) Less(i, j int) bool { return a[i] < a[j] }
func (a RuneSlice) Swap(i, j int)      { a[i], a[j] = a[j], a[i] }

// Main
const INF = 1 << 60

type Edge struct {
	to, cost int
}

type Node struct {
	id, cost int
}

type PQ []Node

func (pq PQ) Len() int           { return len(pq) }
func (pq PQ) Less(i, j int) bool { return pq[i].cost < pq[j].cost }
func (pq PQ) Swap(i, j int)      { pq[i], pq[j] = pq[j], pq[i] }

func (pq *PQ) Push(x interface{}) {
	*pq = append(*pq, x.(Node))
}

func (pq *PQ) Pop() interface{} {
	old := *pq
	n := len(old)
	x := old[n-1]
	*pq = old[0 : n-1]
	return x
}

func main() {
	sc := NewScanner()
	wtr := bufio.NewWriter(os.Stdout)
	N := sc.nextInt()
	E := make([][]Edge, N)
	for i := 0; i < N; i++ {
		id, k := sc.nextInt(), sc.nextInt()
		E[id] = make([]Edge, k)
		for j := 0; j < k; j++ {
			to, cost := sc.nextInt(), sc.nextInt()
			E[id][j] = Edge{to, cost}
		}
	}

	d := make([]int, N)
	for i := 0; i < N; i++ {
		d[i] = INF
	}
	done := make([]bool, N)
	pq := &PQ{}
	heap.Init(pq)
	d[0] = 0
	heap.Push(pq, Node{0, 0})
	for pq.Len() > 0 {
		cur := heap.Pop(pq).(Node).id
		if done[cur] {
			continue
		}
		done[cur] = true
		for i := 0; i < len(E[cur]); i++ {
			to, cost := E[cur][i].to, E[cur][i].cost+d[cur]
			if !done[to] && cost < d[to] {
				d[to] = cost
				heap.Push(pq, Node{to, cost})
			}
		}
	}

	for i := 0; i < N; i++ {
		fmt.Fprintln(wtr, i, d[i])
	}
	wtr.Flush()
}

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

struct Edge {
    int from, to, cost;
    Edge(int f, int t, int c) : from(f), to(t), cost(c) { }
    bool operator <(const Edge& e) const {
        return cost < e.cost;
    }
};

const int INF = (int)1e9;
typedef pair<int, int> P;

vector<int> dijkstra(const vector<vector<Edge> >& g, int s) {
    vector<int> res(g.size(), INF);
    priority_queue<P, vector<P>, greater<P> > Q;
    Q.push(P(0, s));
    res[s] = 0;
    while(!Q.empty()) {
        P p = Q.top(); Q.pop();
        if(p.first > res[p.second]) continue;
        for(int i = 0; i < (int)g[p.second].size(); i++) {
            Edge e = g[p.second][i];
            if(res[e.to] > p.first + e.cost) {
                res[e.to] = p.first + e.cost;
                Q.push(P(res[e.to], e.to));
            }
        }
    }
    return res;
}

int main() {
    int N; cin >> N;
    vector<vector<Edge> > es(N);
    for(int i = 0; i < N; i++) {
        int u, k; cin >> u >> k;
        while(k--) {
            int v, c; cin >> v >> c;
            es[u].push_back(Edge(u, v, c));
        }
    }
    vector<int> res = dijkstra(es, 0);
    for(int i = 0; i < N; i++) {
        cout << i << ' ' << res[i] << endl;
    }
}

C++: #include <cstdio>
#include <vector>
#include <queue>
using namespace std;
const int MAXN = 1e4 + 7, INF = 5e5 + 7;
int d[MAXN];
struct node {
	int id, dist;
	node(int id, int dist) :id(id), dist(dist) {}
	bool operator < (const node &rhs) const {
		return dist > rhs.dist;
	}
};
vector<pair<int, int> > G[MAXN];
priority_queue<node> nodes;
int main() {
    int n;
    scanf("%d", &n);
    for (int i = 1; i < n; i++) {
    	d[i] = INF;
	}
    for (int i = 0; i < n; i++) {
    	int u, k;
    	scanf("%d%d", &u, &k);
    	for (int j = 0; j < k; j++) {
    		int v, c;
    		scanf("%d%d", &v, &c);
    		G[u].push_back(make_pair(v, c));
		}
	}
	nodes.push(node(0, 0));
	while (!nodes.empty()) {
		node tmp = nodes.top();
		nodes.pop();
		if (tmp.dist > d[tmp.id]) continue;
		int cnt = G[tmp.id].size();
		for (int i = 0; i < cnt; i++) {
			if (d[G[tmp.id][i].first] > d[tmp.id] + G[tmp.id][i].second) {
				d[G[tmp.id][i].first] = d[tmp.id] + G[tmp.id][i].second;
				nodes.push(node(G[tmp.id][i].first, d[G[tmp.id][i].first]));
			}
		}
	}
	for (int i = 0; i < n; i++) {
		printf("%d %d\n", i, d[i]);
	}
	return 0;
}

C++: #include <iostream>
#include <stdio.h>
#include <vector>

using namespace std;

struct Wside{
	int vertex;
	int weight;
	Wside(int a, int b){
		vertex=a; weight=b;
	}
};

vector<Wside>* info;
vector<int> scanned;
int* result, *candidates;
int n;

bool isScanned(int v){
	for(int i=0,sz=scanned.size(); i<sz; ++i){
		if(v==scanned[i]) return 1;
	}
	return 0;
}

int scan(){
	int nextvtx;
	for(int j=0, scn=scanned[scanned.size()-1], sz=info[scn].size(); j<sz; ++j){
		int vtx = info[scn][j].vertex;
		if(isScanned(vtx)) continue;
		int wgh = info[scn][j].weight;

		result[vtx] = result[vtx] > result[scn] + wgh ? (result[scn] + wgh) : result[vtx];
		candidates[vtx] = result[vtx];
	}

	int minimum=0xfffffff;
	for(int i=0; i<n; ++i){
		if(candidates[i]==-1) continue;
		nextvtx = minimum<candidates[i]? nextvtx : i;
		minimum = result[nextvtx];
	}
	candidates[nextvtx]=-1;
	scanned.push_back(nextvtx);
	return 0;
}

int main()
{
	scanf("%d",&n);
	scanned.reserve(n);
	info = new vector<Wside> [n];
	result = new int [n];
	candidates = new int [n];
	for(int i=0; i<n; ++i){
		result[i] = 0xfffffff;
		candidates[i] = -1;
	}

	int org,k,v,c;
	for(int i=0; i<n; ++i){
		scanf("%d %d",&org,&k);
		info[org].reserve(k);
		for(int j=0; j<k; ++j){
			scanf("%d %d",&v,&c);
			info[org].push_back(Wside(v,c));
		}
	}

	scanned.push_back(0);
	result[0] = 0;
	while(scanned.size()!=n){
		scan();
	}

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

	delete[] info;
	delete[] result;
	delete[] candidates;

	return 0;
}