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<iostream>
using namespace std;
#include<stdio.h>

int main()
{
    int n, m, i, j, a, w;
    int* adj[100];
    int* dist[100];
    scanf("%d", &n);
    for(i = 0; i < n; i++){
        scanf("%d %d", &i, &m);
        adj[i] = new int [m + 1];
        dist[i] = new int [m + 1];
        for(j = 0; j < m; j++){
            scanf("%d %d", &a, &w);
            adj[i][j] = a;
            dist[i][j] = w;
        }
        adj[i][m] = -1;
        dist[i][m] = -1;
    }
    int *d, *prev, *Q;
    d = new int [n];
    prev = new int [n];
    Q = new int [n];
    for(i = 0; i < n; i++){ d[i] = 200000; prev[i] = -1; Q[i] = i; }
    int rest = n;

    int u, v, min;
    d[0] = 0;
    while(rest > 0){
        min = 200000;
        for(i = 0; i < n; i++){
            if(min > d[i] && Q[i] >= 0){ min = d[i]; u = i; }
        }
        Q[u] = -1;
        rest--;

        for(j = 0; adj[u][j] >= 0; j++){
            v = adj[u][j];
            if(d[v] > d[u] + dist[u][j]){
                d[v] = d[u] + dist[u][j];
                prev[v] = u;
            }
        }
    };
    for(i = 0; i < n; i++){ printf("%d %d\n", i, d[i]); }
    for(i = 0; i < n; i++){
        delete adj[i]; delete dist[i]; }
    delete d;
    delete prev;
    delete Q;
 
    return 0;
}