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<stdio.h>
#include<stdlib.h>
#include<limits.h>
struct node {
        int id;
        int weight;
        struct node *next;
};
struct node **list;
int *dist, *prev, *heap, *heap_index, heapsize;
void Insert(int, int, int);
void downheap(int);
void upheap(int);
void PQ_Init(int);
void DijkstraPQ(int, int);
main()
{
        int i, j, n, u, k, v, c;
        scanf("%d", &n);
        list = (struct node**)malloc(sizeof(struct node*) * n);
        for (i = 0; i < n; i++) {
                dist = (int*)malloc(sizeof(int) * n);
                prev = (int*)malloc(sizeof(int) * n);
                list[i] = NULL;
        }
        for (i = 0; i < n; i++) {
                scanf("%d%d", &u, &k);
                for (j = 0; j < k; j++) {
                        scanf("%d%d", &v, &c);
                        Insert(u, v, c);
                }
        }
        DijkstraPQ(0, n);
        for (i = 0; i < n; i++) {
                struct node *p, *q;
                printf("%d %d\n", i, dist[i]);
                for (q = list[i], p = q->next; p != NULL; q = p, p = p->next) {
                        q->next = p->next;
                        free(p);
                }
                if (list[i] != NULL) {
                        free(list[i]);
                }
        }
        free(list);
        free(dist);
        free(prev);
        free(heap);
        free(heap_index);
}
void Insert(int a, int b, int weight)
{
        struct node *p = (struct node*)malloc(sizeof(struct node));
        p->id = b;
        p->weight = weight;
        p->next = list[a];
        list[a] = p;
        p = (struct node*)malloc(sizeof(struct node));
    p->id = a;
    p->weight = weight;
        p->next = list[b];
    list[b] = p;
}
void downheap(int k)
{
        int j, v = heap[k];
        while (k < heapsize / 2) {
                j = 2 * k + 1;
                if (j < heapsize - 1 && dist[heap[j]] > dist[heap[j + 1]]) j++;
                if (dist[v] <= dist[heap[j]]) break;
                heap[k] = heap[j];
                heap_index[heap[j]] = k;
                k = j;
        }
        heap[k] = v;
        heap_index[v] = k;
}
void upheap(int j)
{
        int k, v = heap[j];
        while (j > 0) {
                k = (j + 1) / 2 - 1;
                if (dist[v] >= dist[heap[k]]) break;
                heap[j] = heap[k];
                heap_index[heap[k]] = j;
                j = k;
        }
        heap[j] = v;
        heap_index[v] = j;
}
void PQ_Init(int size)
{
        int i;
        heapsize = size;
        heap = (int*)malloc(sizeof(int) * size);
        heap_index = (int*)malloc(sizeof(int) * size);
        for (i = 0; i < size; i++) {
                heap[i] = i;
                heap_index[i] = i;
        }
        for (i = size / 2 - 1; i >= 0; i--) {
                downheap(i);
        }
}
void DijkstraPQ(int p, int size)
{
        int i;
        for (i = 0; i < size; i++) {
                dist[i] = INT_MAX;
                prev[i] = -1;
        }
        dist[p] = 0;
        PQ_Init(size);
        while (heapsize > 0) {
                struct node *n;
                int u = heap[0];
                heap[0] = heap[heapsize - 1];
                heap_index[heap[size - 1]] = 0;
                heapsize--;
                downheap(0);
                for (n = list[u]; n != NULL; n = n->next) {
                        int w = n->weight, newlen = dist[u] + w;
                        if (newlen < dist[n->id]) {
                                dist[n->id] = newlen;
                                prev[n->id] = u;
                                upheap(heap_index[n->id]);
                        }
                }
        }
}

C++: #include <bits/stdc++.h>

using namespace std;

#define Vi vector<int>
#define FOR(i,s,e) for (int i=s; i<e; i++)
#define ITER(v) v.begin(), v.end()

constexpr int N_MAX = 100;

int weight[N_MAX][N_MAX];
int dis[N_MAX];

void set_shortest_distance(const int n) {
    bool ismember[n] = {false};

    int newmember = 0;
    dis[newmember] = 0;
    ismember[newmember] = true;

    FOR(t,0,n-1) {
        FOR(i,0,n) {
            if (weight[newmember][i] < 0) { continue; }
            if (ismember[i]) { continue; }
            const int d = dis[newmember] + weight[newmember][i];
            if (dis[i] < 0 || d < dis[i]) {
                dis[i] = d;
            }
        }
        int min_i = -1, min_d = -1;
        FOR(i,0,n) {
            if (dis[i] < 0) { continue; }
            if (ismember[i]) { continue; }
            if (min_d < 0 || dis[i] < min_d) {
                min_i = i;
                min_d = dis[i];
            }
        }
        newmember = min_i;
        ismember[newmember] = true;
        //cout << "#" << min_i << " " << min_d << endl;
    }
}

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);

    int n;
    cin >> n;

    FOR(i,0,n) {
        dis[i] = -1;
        FOR(j,0,n) {
            weight[i][j] = -1;
        }
    }

    int u, k, v, c;
    FOR(i,0,n) {
        cin >> u >> k;
        FOR(j,0,k) {
            cin >> v >> c;
            weight[u][v] = c;
        }
    }

    set_shortest_distance(n);

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

    return 0;
}