Go: package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
)

const (
	MAX_N      = 10000
	MAX_WEIGHT = 100000
)

type Edge struct {
	start  int
	end    int
	weight int
}

type ShortestInfo struct {
	edges    []Edge
	shortest int
}

type Neighbor struct {
	node   int
	weight int
}

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

	n, err := nextInt(sc)
	if err != nil {
		panic(err)
	}

	shortestList := make([]ShortestInfo, n)
	for i := 1; i < n; i++ {
		shortestList[i] = ShortestInfo{edges: []Edge{}, shortest: MAX_N*MAX_WEIGHT + 1}
	}

	adjacentMatrix, err := createAdjacentMatrix(n, sc)
	if err != nil {
		panic(err)
	}

	sssp([]int{0}, shortestList, adjacentMatrix)
	for _, v := range shortestList {
		fmt.Printf("%d %d\n", v.getEnd(), v.shortest)
	}
}

func (si ShortestInfo) getEnd() int {
	if len(si.edges) == 0 {
		return 0
	} else {
		return si.edges[len(si.edges)-1].end
	}
}

func createAdjacentMatrix(n int, sc *bufio.Scanner) ([][]Neighbor, error) {
	adjacentMatrix := make([][]Neighbor, n)
	for i := 0; i < n; i++ {
		id, err := nextInt(sc)
		if err != nil {
			return nil, err
		}
		adjacentMatrix[id] = []Neighbor{}
		vertexNum, err := nextInt(sc)
		if err != nil {
			return nil, err
		}
		for j := 0; j < vertexNum; j++ {
			v, err := nextInt(sc)
			if err != nil {
				return nil, err
			}
			c, err := nextInt(sc)
			if err != nil {
				return nil, err
			}
			adjacentMatrix[id] = append(adjacentMatrix[id], Neighbor{v, c})
		}
	}
	return adjacentMatrix, nil
}

func sssp(nodeStack []int, shortestList []ShortestInfo, adjacentMatrix [][]Neighbor) {
	for len(nodeStack) > 0 {
		currentNode := nodeStack[0]
		nodeStack = nodeStack[1:]
		currentShortest := getShortest(currentNode, shortestList)
		adjacents := findAdjacents(currentNode, adjacentMatrix)
		for i := 0; i < len(adjacents); i++ {
			adj := adjacents[i]
			if currentShortest.shortest+adj.weight < getShortest(adj.end, shortestList).shortest {
				setShortest(adj.end, adj, currentShortest, shortestList)
				nodeStack = append(nodeStack, adj.end)
			}
		}
	}
}

func getShortest(node int, shortestList []ShortestInfo) ShortestInfo {
	return shortestList[node]
}

func setShortest(node int, edge Edge, currentShortest ShortestInfo, shortestList []ShortestInfo) {
	newEdges := make([]Edge, len(currentShortest.edges)+1)
	for i := 0; i < len(newEdges)-1; i++ {
		newEdges[i] = currentShortest.edges[i]
	}
	newEdges[len(newEdges)-1] = edge
	shortestInfo := ShortestInfo{edges: newEdges, shortest: currentShortest.shortest + edge.weight}
	shortestList[node] = shortestInfo
}

func findAdjacents(currentNode int, adjacentMatrix [][]Neighbor) []Edge {
	adjacents := adjacentMatrix[currentNode]
	edges := []Edge{}
	for _, neighbor := range adjacents {
		edges = append(edges, Edge{start: currentNode, end: neighbor.node, weight: neighbor.weight})
	}
	return edges
}

func nextInt(sc *bufio.Scanner) (int, error) {
	sc.Scan()
	return strconv.Atoi(sc.Text())
}

C++: #include<bits/stdc++.h>
typedef long long int ll;
typedef unsigned long long int ull;
#define BIG_NUM 2000000000
#define HUGE_NUM 1000000000000000000
#define MOD 1000000007
#define EPS 0.000000001
using namespace std;



#define SIZE 100005

struct Edge{
	Edge(int arg_to,int arg_dist){
		to = arg_to;
		dist = arg_dist;
	}
	int to,dist;
};

struct Info{
	Info(int arg_node_id,int arg_sum_dist){
		node_id = arg_node_id;
		sum_dist = arg_sum_dist;
	}
	bool operator<(const struct Info &arg) const{

		return sum_dist > arg.sum_dist; //総距離の昇順(PQ)
	}

	int node_id,sum_dist;
};

int V;
int min_dist[SIZE];
vector<Edge> G[SIZE];

int main(){

	scanf("%d",&V);

	int node_id,num_node,to,dist;

	for(int i = 0; i < V; i++){

		scanf("%d %d",&node_id,&num_node);
		for(int k = 0; k < num_node; k++){

			scanf("%d %d",&to,&dist);
			G[node_id].push_back(Edge(to,dist));
		}
	}

	for(int i = 0; i < V; i++){

		min_dist[i] = BIG_NUM;
	}

	priority_queue<Info> Q;
	min_dist[0] = 0;

	Q.push(Info(0,0));

	while(!Q.empty()){

		if(Q.top().sum_dist > min_dist[Q.top().node_id]){

			Q.pop();

		}else{

			for(int i = 0; i < G[Q.top().node_id].size(); i++){

				int next_node = G[Q.top().node_id][i].to;
				int next_dist = Q.top().sum_dist+G[Q.top().node_id][i].dist;

				if(min_dist[next_node] > next_dist){
					min_dist[next_node] = next_dist;
					Q.push(Info(next_node,next_dist));
				}
			}
			Q.pop();
		}
	}

	for(int i = 0; i < V; i++){

		printf("%d %d\n",i,min_dist[i]);
	}

	return 0;
}

C++: //dijkstra算法
#include <iostream>
#include <vector>
#include <queue>

using namespace std;

//INFTY要足够大
const int INFTY = 1 << 21;

const int N = 10000;

vector<pair<int,int> >Graph[N];

int n;

void dijkstra(int u0) {
	int *d = new int[n];
	char *color = new char[n];
	for (int i=0; i<n; i++) {
		d[i] = INFTY;
		color[i] = 'W';
	}

	d[u0] = 0;
	color[u0] = 'G';
	priority_queue<pair<int,int> > PQ;
	PQ.push(make_pair(0,u0));

	while (!PQ.empty()) {
		pair<int,int> f = PQ.top();
		PQ.pop();
		int u = f.second;

		color[u] = 'B';

		//if (d[u] < f.first * -1) continue;

		for (int i=0; i<Graph[u].size(); i++) {
			pair<int,int> p = Graph[u][i];
			int v = p.first;
			if (color[v] != 'B'&& d[v] > d[u] + p.second) {
				d[v] = d[u] +p.second;
				color[v] = 'G';
				PQ.push(make_pair(d[v] * -1,v));
			}
		}
	}
	for (int i=0; i<n; i++) {
		cout << i << " " << (d[i] == INFTY ? -1 : d[i]) << endl;
	}
}

int main() {

	cin >> n;

	for (int i=0; i<n; i++) {
		int u,k;
		cin >> u >> k;

		for (int j = 0; j<k; j++) {
			int v,c;
			cin >> v >> c;
			Graph[u].push_back(make_pair(v,c));
		}
	}
	dijkstra(0);
	return 0;
}

C++: //
//  main.cpp
//
//
//  Created by ???????????? on 2017/10/23.
//  Copyright ?? 2017 ????????????. All rights reserved.
//

#include <iostream>
#include <stdio.h>
#include <queue>
#include <algorithm>


#define n_max 10000
#define WHITE 0
#define GRAY 1
#define BLACK 2
#define INFTY 1<<20

using namespace std;

int n, color[n_max], d[n_max], p[n_max];

vector<pair<int, int> > adj[n_max];


void init(){
    int i, j, id, num, node, weight;
    scanf("%d", &n);
    
    for(i = 0; i < n; i++){
        scanf("%d %d", &id, &num);
        for(j = 0; j < num; j++){
            scanf("%d", &node);
            scanf("%d", &weight);
            adj[id].push_back(make_pair(node, weight));
        }
        color[i] = WHITE;
        d[i] = INFTY;
    }
}

void dijkstra(){
    //initializing
    d[0] = 0;
    p[0] = -1;
    
    priority_queue<pair<int,int> > PQ;
    
    PQ.push(make_pair(0, 0));
    
    int u;
    while(!PQ.empty()){
        //first weight, second idx
        pair<int, int> f= PQ.top(); PQ.pop();
        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){
                if((d[u] + adj[u][j].second) < d[v]){
                    d[v] = adj[u][j].second + d[u];
                    PQ.push(make_pair(d[v]*(-1), v));
                    color[v] = GRAY;
                }
            }
        }
    }
    for(int i = 0; i < n; i++){
        cout<<i<<" "<<d[i]<<endl;
    }
}

int main(int argc, const char * argv[]) {
    init();
    dijkstra();
    return 0;
}