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 <queue>
#include <stdint.h>
#include <vector>
#include <utility>
#include <array>
using namespace std;
typedef void (*single_source_shortest_path_callback_t)(int32_t index, int32_t weight);

#define GRAPH_MAX_SIZE 10000
enum color_t { WHITE, GRAY, BLACK };

static int32_t weights[GRAPH_MAX_SIZE];
static color_t colors[GRAPH_MAX_SIZE];

bool single_source_shortest_path(vector<pair<int32_t, int32_t>> *graph, size_t size, single_source_shortest_path_callback_t callback)
{
  if ((graph == nullptr) || (size == 0)) return false;

  int32_t i;
  for (i = 0; i < GRAPH_MAX_SIZE; i++) {
    weights[i] = INT32_MAX;
    colors[i] = WHITE;
  }

  weights[0] = 0;
  priority_queue<pair<int32_t, int32_t>> que;
  que.push(make_pair(-1 * weights[0], 0));

  while (!que.empty()) {
    pair<int, int> top = que.top();
    que.pop();
    int32_t top_index = top.second;
    int32_t top_weights = (-1) * top.first;
    if (top_weights > weights[top_index]) continue;

    callback(top_index, top_weights);
    colors[top_index] = BLACK;

    vector<pair<int32_t, int32_t>> vertex = graph[top_index];
    for (auto connect_to = vertex.begin(); connect_to != vertex.end(); connect_to++) {
      int32_t index = (*connect_to).first;
      if (colors[index] != BLACK) {
        int32_t new_weight = weights[top_index] + (*connect_to).second;

        if (new_weight < weights[index]) {
          weights[index] = new_weight;
          colors[index] = GRAY;
          que.push(make_pair(-1 * weights[index], index));
        }
      }
    }
  }
  return true;
}

#if !defined(TEST)
static vector<pair<int32_t, int32_t>> graph[GRAPH_MAX_SIZE];
static int32_t routes[GRAPH_MAX_SIZE];

void callback(int32_t index, int32_t weight)
{
  routes[index] = weight;
}

int32_t main(void)
{
  int32_t num;
  scanf("%d", &num);

  uint32_t i;
  for (i = 0; i < num; i++) {
    int32_t index, len;
    scanf("%d", &index);
    scanf("%d", &len);
    uint32_t j;
    for (j = 0; j < len; j++) {
      int32_t k, v;
      scanf("%d %d", &k, &v);
      graph[i].push_back(make_pair(k, v));
    }
  }
  single_source_shortest_path(graph, num, callback);

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

  return 0;
}
#endif

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

using namespace std;

#define MAX 10000
#define INFTY 99999999

#define WHITE 0
#define GRAY 1
#define BLACK 2


struct Node {
	vector<int> ch;
	vector<int> co;
};



Node G[MAX];


int n;
int d[MAX];
int p[MAX];
int color[MAX];




void dijkstra(int s)
{
	int u;

	for (int i = 0; i < n; i++) {
		p[i] = -1;
		d[i] = INFTY;
	}

	d[s] = 0;

	while (true) {

		int mincost = INFTY;

		for (int i = 0; i < n; i++) {
			if (color[i] != BLACK && d[i] < mincost) {
				mincost = d[i];
				u = i;
			}
		}

		if (mincost == INFTY) {
			break;
		}

		color[u] = BLACK;

		for (int i = 0; i < G[u].ch.size(); i++) {
			if (color[G[u].ch[i]] != BLACK) {
				if (d[u] + G[u].co[i] < d[G[u].ch[i]]) {
					d[G[u].co[i]] = d[u] + G[u].co[i];
					p[G[u].co[i]] = d[u];
					color[G[u].co[i]] = GRAY;
				}
			}
		}
	}

}

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

	cin >> n;

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

	dijkstra(0);

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

}

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

std::vector<int> color;
std::vector<std::pair<int, int>> G[10000];
std::vector<int> d;
std::vector<int> p;
int INF = 1001001001;
int sum = 0;
std::priority_queue<std::pair<int, int>> que;

void dijkstra(int n){
    for(int i = 0; i < n; i++){
        color[i] = 0;
        d[i] = INF;
    }

    d[0] = 0;
    p[0] = -1;

    que.push(std::make_pair(0, 0));

    while(que.empty() != 1){
        std::pair<int, int> f = que.top();
        que.pop();
        int u = f.second;

        color[u] = 1;

        // if(d[u] < )

        for(int i = 0; i < G[u].size(); i++){
            std::pair<int, int> pair = G[u][i];
            if(color[pair.first] != 1){
                if(d[u] + pair.second < d[pair.first]){
                    d[pair.first] = d[u] + pair.second;
                    que.push(std::make_pair(d[pair.first] * (-1), pair.first));
                }
            }
        }

    }
    
    for(int i = 0; i < d.size(); i++){
        sum += d[i];
    }

}

int main(void){
    int n;
    int tmp1, tmp2;
    std::cin >> n;

    color.resize(n);
    d.resize(n);
    p.resize(n);

    int u, k, v;

    for(int i = 0; i < n; i++){
        std::cin >> u >> k;
        for(int j = 0; j < k; j++){
            std::cin >> tmp1 >> tmp2;
            G[u].push_back(std::make_pair(tmp1, tmp2));
        }
        
    }
    
    
    dijkstra(n);
    
    for(int i = 0; i < n; i++){
        std::cout << i << " " << d[i] << std::endl;
    }

    return 0;
}