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++: //http://www.deqnotes.net/acmicpc/dijkstra/を参照
//単一始点最短経路
//プライオリティーキューでの実装がよくわからない
#include<iostream>
#include<algorithm>
#include<utility>
#include<vector>
//#include<queue>
using namespace std;

struct Node{
  //ノードの情報
  int num;//ノードの番号
  vector<pair<int,int>> edge;//各エッジの接続先のノード番号とコスト

  //ダイクストラ法用のデータ
  bool confirmed;//確定ノードかどうか
  int mincost;//そのノードへの最小コスト(確定かどうかはconfirmedで決まる)
};
/*
 下の不等号のみで十分(min_costは<のみ使っている)
bool operator>(const Node node1,const Node node2){
  return node1.mincost > node2.mincost;
}
*/
bool operator<(const Node node1,const Node node2){
  return node1.mincost < node2.mincost;
}
/*
bool compare_pair(const pair<int,int> x,const pair<int,int> y){
  return x.second < y.second;
}
*/

pair<vector<pair<int,int>>::iterator,vector<pair<int,int>>::iterator> dijkstra1(vector<Node> Nodex){
  //優先度の低いものを取りだす(popで)
  //取り出したものが接続するノードのmincostを取り出す
  vector<pair<int,int>> c;
  while(Nodex.size()!=0){
    vector<Node>::iterator x=min_element(Nodex.begin(),Nodex.end());
    x->confirmed=true;//これいらない気もする
    c.push_back(make_pair(x->num,x->mincost));
    for(auto i=x->edge.begin();i<x->edge.end();i++){
      vector<Node>::iterator k=Nodex.end();
      for(vector<Node>::iterator j=Nodex.begin();j<Nodex.end();j++){
        if(j->num==i->first){
          k=j;
          break;
        }
      }
      //この下、ループの中でできる、kを定義する必要もない
      if(k!=Nodex.end()){
        if(k->mincost==1000000000){
          k->mincost=x->mincost+ i->second;
        }else{
          //1000000000は十分に大きいのでこの下のみを書けば十分
          k->mincost=min(k->mincost,x->mincost+ i->second);
        }
      }
    }
    Nodex.erase(x);
  }
  sort(c.begin(),c.end());
  return make_pair(c.begin(),c.end());
}

int main(){
  int n;
  vector<Node> Nodes;
  int u,k;
  int v,c;
  cin >> n;
  for(int i=0;i<n;i++){
    Node subNode;
    cin >> u >> k;
    subNode.num=u;
    subNode.confirmed=false;
    if(subNode.num==0){
      //始まりのノードを確定済みにする
      subNode.mincost=0;
    }else{
      subNode.mincost=1000000000;
    }//int型の最大値に近い
    for(int j=0;j<k;j++){
      cin >> v >> c;
      subNode.edge.push_back(make_pair(v,c));
    }
    Nodes.push_back(subNode);
  }
  pair<vector<pair<int,int>>::iterator,vector<pair<int,int>>::iterator> d=dijkstra1(Nodes);
  for(vector<pair<int,int>>::iterator i=d.first;i<d.second;i++){
    cout << (*i).first << " " << (*i).second << endl;
    //cout <, i->first << " " << i->second << endl;でも同じ
  }
}

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>>;

int n;
int m[101][101];

void daiksutora(){
	int p[101];
	int d[101];
	int color[101];
	rep(i, n){
		d[i] = 1e8;
		color[i] = 0;
	}
	d[0] = 0;
	p[0] = -1;
	while(1){
		int mincost = 1e8;
		int u = -1;
		rep(i, n){
			if(color[i] != -1 && d[i] < mincost){
				mincost = d[i];
				u = i;
			}
		}
		if(u == -1) break;
		color[u] = -1;
		rep(v, n){
			if(color[v] != -1 && m[u][v] != -1){
				if(d[u]+m[u][v] < d[v]){
					d[v] = d[u]+m[u][v];
					color[v] = 1;
					p[v] = u;
				}
			}
		}
	}
	rep(i, n){
		cout << i << " " << d[i] << endl;
	}
}

int main(){
	cin >> n;
	rep(i, n){
		rep(j, n){
			m[i][j] = -1;
		}
	}
	rep(i, n){
		int u, k, v, c;
		cin >> u >> k;
		rep(i, k){
			cin >> v >> c;
			m[u][v] = c;
		}
	}
	daiksutora();
}

C++: #include <cstdio>
static const int INFTY = (1 << 21);
static const int WHITE = 0;
static const int GRAY = 1;
static const int BLACK = 2;

int n, **M;
int *d, *p;

void dijkstra() {
    int u, minv;
    int d[n], p[n], color[n];

    for (int i = 0; i < n; i++) {
        d[i] = INFTY;
        p[i] = -1;
        color[n] = WHITE;
    }
    d[0] = 0;

    while (1) {
        u = -1;
        minv = INFTY;
        for (int i = 0; i < n; i++) {
            if (color[i] != BLACK && d[i] < minv) {
                u = i;
                minv = d[i];
            }
        }

        if (u == -1) { break; }

        color[u] = BLACK;
        for (int v = 0; v < n; v++) {
            if (color[v] != BLACK && M[u][v] != INFTY) {
                // printf("d[%d] = %d, M[%d][%d] = %d, d[%d] = %d\n", u, d[u], u, v, M[u][v], v, d[v]);
                if (d[u] + M[u][v] < d[v]) {
                    p[v] = u;
                    d[v] = d[u] + M[u][v];
                    color[v] = GRAY;
                }             
            }
        }
    }
    
    for (int i = 0; i < n; i++) {
        printf("%d %d\n", i, d[i]);
    }
}

int main() {
    scanf("%d", &n);

    M = new int*[n];
    for (int i = 0; i < n; i++) {
        M[i] = new int[n];
        for (int j = 0; j < n; j++) {
            M[i][j] = INFTY;
        }
    }

    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);
            M[u][v] = c;
        }
    }
    printf("");

    dijkstra();

    return 0;
}