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++: #include <bits/stdc++.h>
using namespace std;
#define INFTY (1<<30)

int n;
vector<int> color(10001,0),d(10001,INFTY);
vector<vector<pair<int,int>>> M(10001,vector<pair<int,int>>(0));
priority_queue<pair<int,int>,vector<pair<int,int>>,greater<pair<int,int>>> pq;

void dijkstra(int s){
    d[s]=0;
    pq.push(make_pair(0,s));
    while(!pq.empty()){
        int u=pq.top().second;
        int a=pq.top().first;
        pq.pop();
        color[u]=2;
        if(d[u]<a) continue;
        for(int i=0;i<M[u].size();i++){
            int v=M[u][i].first;
            if(color[v]!=2){
                if(d[u]+M[u][i].second<d[v]){
                    d[v]=d[u]+M[u][i].second;
                    color[v]=1;
                    pq.push(make_pair(d[v],v));
                }
            }
        }
    }

}

int main(){
    cin>>n;
    for(int i=0;i<n;i++){
        int a,b,c,k;
        cin>>a>>k;
        for(int j=0;j<k;j++){
            cin>>b>>c;
            M[a].push_back(make_pair(b,c));
        }
    }

    dijkstra(0);

    for(int i=0;i<n;i++){
        cout<<i<<' '<<d[i]<<endl;
    }
}