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 d first
#define wgt first
#define to second

using namespace std;

typedef pair<int,int> pii;
typedef vector<pii> vec;
typedef vector<vec> Graph;

Graph G(11000);
int n,d[11000];

void Dijkstra()
{
	bool used[11000];
	priority_queue<pii,vector<pii>,greater<pii> > pq;
	fill(d,d+n,INT_MAX);
	memset(used,false,sizeof(used));
	pq.push(make_pair(0,0));
	while(!pq.empty())
	{
		pii u=pq.top();pq.pop();
		if(used[u.to]) continue;
		used[u.to]=true;
		d[u.to]=u.d;
		for(int i=0;i<G[u.to].size();i++)
			if(d[G[u.to][i].to]>d[u.to]+G[u.to][i].wgt)
			{
				d[G[u.to][i].to]=d[u.to]+G[u.to][i].wgt;
				pq.push(make_pair(d[G[u.to][i].to],G[u.to][i].to));
			}
	}
}

int main()
{
	scanf("%d",&n);
	for(int i=0;i<n;i++)
	{
		int u,t;
		scanf("%d%d",&u,&t);
		for(int j=0;j<t;j++)
		{
			int v,w;
			scanf("%d%d",&v,&w);
			G[u].push_back(make_pair(w,v));
		}
	}
	Dijkstra();
	for(int i=0;i<n;i++)
		printf("%d %d\n",i,d[i]);
	return 0;
}

C++: #include<iostream>
#include<vector>

struct Edge {
	int to, weight;
};

int main()
{
	int n, u, k, v, c, distance[100000]{}, upd_num = 1;
	bool must_update[100000]{ 1 };
	std::vector<Edge> dest[500000];

	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;
			dest[u].push_back({ v, c });
		}
		if (i)
			distance[i] = 2000000000;
	}

	while (upd_num)
		for (int i = 0; i < n && upd_num; i++)
		{
			if (!must_update[i]) continue;

			must_update[i] = false;
			upd_num--;
			for (auto e : dest[i])
			{
				int tmp = distance[i] + e.weight;
				if (tmp < distance[e.to])
				{
					distance[e.to] = tmp;
					if (!must_update[e.to])
					{
						must_update[e.to] = true;
						upd_num++;
					}
				}
			}
		}

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

	return 0;
}

C++: #include <bits/stdc++.h>
#define INF 1000000000
#define MAX_N 100
using namespace std;
int n;
int d[MAX_N];

struct edge {
	int to, cost;
	edge(int to_, int cost_) : to(to_), cost(cost_) {}
};
typedef pair<int, int> P;
vector<edge> G[MAX_N];

void Dijkstra(int start) {
	fill(d, d + n, INF);
	priority_queue<P, vector<P>, greater<P>> que;
	d[start] = 0;
	que.push(P(0, start));

	while (!que.empty()) {
		P p = que.top(); que.pop();
		int v = p.second;
		if (d[v] < p.first) continue;
		for (int i = 0; i < G[v].size(); i++) {
			edge e = G[v][i];
			if (d[e.to] > d[v] + e.cost) {
				d[e.to] = d[v] + e.cost;
				que.push(P(d[e.to], e.to));
			}
		}
	}
}

int main()
{
	cin >> n;
	for (int i = 0, u, k; i < n; i++) {
		cin >> u >> k;
		for (int j = 0, v, c; j < k; j++) {
			cin >> v >> c;
			G[u].push_back(edge(v, c));
		}
	}
	Dijkstra(0);
	for (int i = 0; i < n; i++) {
		cout << i << ' ' << d[i] << endl;
	}
	return 0;
}

C++: #include<cstdio>
#include<queue>
#include<vector>
#define MA 10005
#define INF (1<<30)
using namespace std;
struct Node{
    short id;//根据题意，id最大在short有效范围内
    int weight;
};

short n;
vector<pair<int, int> >adj[MA];//加权有向图的邻接表
priority_queue<Node> PQ;//优先级队列
bool state[MA];//节点状态，false为未访问
int dis[MA];//节点到0点的权值总和

/**重载'<'以自定义优先级队列的优先级，这里定义为权值小优先，与默认的大优先相反*/
bool operator < (const Node node1, const Node node2){
    if(node1.weight==node2.weight)
        return node1.id > node2.id;//权值相同比id，意义不大
    return node1.weight > node2.weight;//返回与正常比较相反的结果
}

/**初始化*/
void init(){
    for(short i=0;i<n;i++)
        dis[i] = INF;//初始权值置为无穷
    dis[0] = 0;//0点权值为0
    Node ini;//0点
    ini.id=0;ini.weight = 0;//0点初始值
    PQ.push(ini);//将0点推入队列
}

/**狄克斯特拉算法*/
void dijkstra(){
    while(!PQ.empty()){//执行至队列为空
        Node nowNode = PQ.top();//从队列中取出元素
        PQ.pop();//清除取出的元素
        short nowId = nowNode.id;//当前元素的ID
        state[nowId] = true;//该节点已从队列中清除，设为访问完毕
        if(dis[nowId]>nowNode.weight)continue;//取出最小值，如果不是最短路径则忽略
        int nowSize = adj[nowId].size();//空间换时间，减少部分运算量
        for(int i=0; i<nowSize; i++){//遍历当前元素的邻接节点
            short nextId = adj[nowId][i].first;//下一个节点的ID
            if(state[nextId]) continue;//如果该节点已被读取则跳过
            int nextWeight = dis[nowId] + adj[nowId][i].second;//0到下一个节点的权值
            if(dis[nextId] > nextWeight){//发现了更短的路径
                dis[nextId] = nextWeight;//更新权值数组对应的数据
                Node nextNode;//即将推入队列的节点
                nextNode.id=nextId; nextNode.weight = nextWeight;//将数据存入节点
                PQ.push(nextNode);//将存有数据的节点推入队列
            }
        }
    }
}

int main(){
    int id, flag, nextId, weight;
    freopen("D:/works/C++200/try136_AOJ_ALDS1_12_BC/test.txt", "r", stdin);
    scanf("%d", &n);
    for(int i=0;i<n;i++){
        scanf("%d%d",&id, &flag);
        while(flag--){
            scanf("%d%d", &nextId, &weight);//读取邻接表
            adj[id].push_back(make_pair(nextId, weight));
        }
    }
    init();//执行初始化
    dijkstra();//执行狄克斯特拉算法
    for(short i=0;i<n;i++){//输出全部节点数据
        printf("%d %d\n", i, ((dis[i]==INF)?(-1):(dis[i])));
    }
    return 0;
}