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

using namespace std;

#define NODE_NUM 10000
#define INF 100000

typedef struct Node {
    //????????????????????????????????????
    int idx;
    
    // ????????????????????????????????¨??????????????±
    vector<int> edges_to;    // ?????¨???????????\?¶??????????????????????
    vector<int> edges_cost;  // ?????¨??????????????????
    
    // ??????????????????????????????????????????
    bool done;  // ?¢??????????????????????
    int cost;   // ????????????????????????????????§??????????????????????°??????????
}Node;

Node nodes[NODE_NUM];


struct NodeCompare
{
    bool operator()(const Node &t1, const Node &t2) const
    {
        //?????????????????????????????????????????????????????????????????????????????´?????????????????????????????????
        return t1.cost > t2.cost;
    }
};

void Dijkstra(int node_num, int start_node){
    
    // ?????????
    for (int i =0 ; i < node_num; i++) {
        nodes[i].done = false;
        nodes[i].cost = INF;
        nodes[i].idx = i;
    }

    //????????????????????\???????°?????????????????????????
    priority_queue<Node, vector<Node>, NodeCompare> q;
    
    // ????????????????????????????????????0
    nodes[start_node].cost = 0;
    q.push(nodes[start_node]);
    
    // ??¢?????´???????????????
    while(!q.empty()){
        
        // ?¢????????????????????????????
        Node doneNode = q.top();
        q.pop();
        
        //???????¢?????????????????????????????????????????????¨??±?????????
        if (doneNode.done) continue;
        
        // ?¢????????????°????????????
        nodes[doneNode.idx].done = true;
        
        // ??\?¶?????????????????????±?????´??°??????
        for(int i = 0; i < doneNode.edges_to.size(); i++){
            
            int to = doneNode.edges_to[i];
            int cost = doneNode.cost + doneNode.edges_cost[i];
            if( nodes[to].cost == INF || cost < nodes[to].cost){
                nodes[to].cost = cost;
                if(!nodes[to].done){
                    q.push(nodes[to]);
                }
            }
        }
    }
}

int main( ){
    
    int i, j, n, k, v, c, u;
    scanf("%d", &n);

    for (i = 0; i < n; i++) {
        scanf("%d %d",&u,  &k);
        
        for (j =0 ; j < k; j++) {
            scanf("%d %d", &v, &c);
            nodes[u].edges_cost.push_back(c);
            nodes[u].edges_to.push_back(v);
        }
    }
    
    Dijkstra(n, 0);
    
    for (i=0; i<n; i++) {
        printf("%d %d\n", i, nodes[i].cost);
    }
    
    return 0;
}

C++: #include <algorithm>
#include <iostream>
#include <queue>
using namespace std;
static const int MAX = 10000;
static const int INFTY = (1 << 20);
static const int WHITE = 0;
static const int GRAY = 1;
static const int BLACK = 2;

int n;
vector<pair<int, int> > adj[MAX]; // 重み付き有向グラフの隣接リスト表現(重み，位置)
void dijkstra()
{
    priority_queue<pair<int, int> > PQ; // 優先度付きキューPQを設定
    int color[MAX]; // 訪問状態
    int d[MAX]; // 最短コストを初期化
    for (int i = 0; i < n; i++) {
        d[i] = INFTY; // 最短コストを初期化
        color[i] = WHITE; // 訪問状態を初期化
    }
    // 始点の最短コスト，訪問状態
    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; // 現在の位置にPQの先頭の位置を代入

        color[u] = BLACK; // uは訪問完了に

        //最小値を取り出し，それが最短でなければ無視
        if (d[u] < f.first * (-1)) {
            continue;
        }

        for (int j = 0; j < adj[u].size(); j++) {
            int v = adj[u][j].first; // vはu->jの重み
            if (d[v] > d[u] + adj[u][j].second) { // vまでの重さと，uまでの重さとu->jの重さを比べる
                d[v] = d[u] + adj[u][j].second;
                // priority_queueはデフォルトで大きい値を優先するため-1をかける
                PQ.push(make_pair(d[v] * (-1), v));
                color[v] = GRAY;
            }
        }
    }

    for (int i = 0; i < n; i++) {
        cout << i << " " << (d[i] == INFTY ? -1 : d[i]) << endl;
    }
}
int main()
{
    int k, u, v, c;

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

    dijkstra();

    return 0;
}