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>
using namespace std;
static const int INFTY = 2000000000;
static const int NIL = -1;
static const int MAX = 10000;
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;
    int color[MAX];
    int d[MAX];
    for(int i=0;i<n;i++){
        d[i] = INFTY;
        color[i] = WHITE;
    }

    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;
                //priority_queue???DEFAULT??§??§?????????????????????????????????-1??????????????????
                PQ.push(make_pair(d[v] * (-1),v));
                color[v] = GRAY;
            }
        }
    }

    for(int i=0;i<n;i++){
        printf("%d %d\n",i,d[i]);
    }
}

int main(){
    int k,u,v,c;

    scanf("%d",&n);
    for(int i=0;i<n;i++){
        scanf("%d %d",&u,&k);
        for(int j=0;j<k;j++){
            scanf("%d %d",&v,&c);
            adj[u].push_back(make_pair(v,c));
        }
    }
}

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

const int WHITE = 0;
const int GRAY = 1;
const int BLACK = 2;

int n;
vector<vector<pair<int,int>>> G;
vector<int> d;
multimap<int,int> pri_m;
vector<int> colors;

//失败了，怀疑是因为相同的cost的情况覆盖了...
void dijkstra(int s){
    d[s] = 0;
    pri_m.insert(make_pair(0,s));

    while(!pri_m.empty()){
        int cost = pri_m.begin()->first;
        int u = pri_m.begin()->second;
        //pri_m.erase(cost);
        map<int,int>::iterator it=pri_m.find(cost);//删除(c,5)
        pair<map<int,int>::iterator,map<int,int>::iterator> pos=pri_m.equal_range(it->first);//利用一对multimap<string,int>指向第一个出现(c,5)的位置和最后一个出现(c,5)的位置
        while (pos.first!=pos.second)
        {
            if (pos.first->second==u)//当pos指向5时
            {
                pos.first=pri_m.erase(pos.first);//删除后会改变pos迭代器，故赋值给自身，指向删除后的下一个键值对
            }
            else
                ++pos.first;//不进行删除操作则自增

        }
        if(d[u] < cost) continue;
        colors[u] = BLACK;
        for(int i = 0;i<G[u].size();i++){
            int v = G[u][i].first;
            if(colors[v] != BLACK){
                if(d[u]+G[u][i].second < d[v]){
                    d[v] = d[u]+G[u][i].second;
                    pri_m.insert(make_pair(d[v],v));
                }
            }
        }
    }
    for(int i=0;i<n;i++) printf("%d %d\n",i,d[i]);
}

int main(){
    //freopen("data.txt","r",stdin);
    cin >> n;
    G.resize(n);
    d.resize(n,INT_MAX);
    colors.resize(n,WHITE);
    int u,k,v,c;
    for(int i = 0;i<n;i++){
        cin >> u >> k;
        for(int j = 0;j<k;j++){
            cin >> v >> c;
            G[u].push_back(make_pair(v,c));
        }
    }
    dijkstra(0);

    return 0;
}

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

using namespace std;
using ll = long long;

template <class T>
struct Edge {
    int to;
    T cost;
    Edge(int to, T cost) : to(to), cost(cost){};
};

template <class T = int>
class Graph {
public:
    explicit Graph(int N = 0) : size(N) { path.resize(size); }
    void span(int u, int v, T cost = 1) { path[u].push_back(Edge<T>(v, cost)); }
    vector<Edge<T>> operator[](int v) const { return path[v]; }

    int size;
    vector<vector<Edge<T>>> path;
};

const ll INF = 1LL << 50;

template <class T>
vector<T> dijkstra(const Graph<T>& graph, int s) {
    vector<T> dist(graph.size, INF);
    dist[s] = 0;

    priority_queue<pair<int, T>, vector<pair<int, T>>, greater<pair<int, T>>> que;
    que.push(make_pair(0, s));

    while (!que.empty()) {
        int v;
        T d;
        tie(d, v) = que.top();
        que.pop();
        if (d > dist[v]) continue;

        for (const auto& e : graph[v]) {
            if (dist[e.to] <= dist[v] + e.cost) continue;
            dist[e.to] = dist[v] + e.cost;
            que.push(make_pair(dist[e.to], e.to));
        }
    }
    return dist;
}

int main() {
    int N;
    cin >> N;

    Graph<ll> graph(N);
    for (int i = 0; i < N; ++i) {
        int v, k;
        cin >> v >> k;
        for (int j = 0; j < k; ++j) {
            int sv;
            ll c;
            cin >> sv >> c;
            graph.span(v, sv, c);
        }
    }

    auto dist = dijkstra<ll>(graph, 0);
    for (int v = 0; v < N; ++v) cout << v << " " << dist[v] << endl;
    return 0;
}