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<bits/stdc++.h>
#define ll long long
#define rep(i, n) for(int i=0; i<n; i++)
#define REP(i, n) for(int i=0; i<=n; i++)
#define repr(i, n) for(int i=n; i>0; i--)
#define REPR(i, n) for(int i=n; i>=0; i--)
const ll INF = 1LL<<60;
const int INT_INF = 1e9;
const ll MOD = 1e9+7;
template<class T> void puts(T x) { std::cout << x << std::endl; }
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }
using namespace std;

struct Node {
    int pos;
    int sum_cost;

    Node(int p, int c) {
        pos = p;
        sum_cost = c;
    }

    bool operator >(const Node &other) const {
        return sum_cost > other.sum_cost;
    }
};

struct Edge {
    int to_node;
    int cost;

    Edge(int n, int c) {
        to_node = n;
        cost = c;
    }
};

vector<vector<Edge>> adj; // 隣接行列
priority_queue<Node, vector<Node>, greater<Node>> pq; // ヒープ
int dist[10100];

int main() {
    int n; cin >> n;
    adj.resize(n);
    rep(i, n) {
        int u, k; cin >> u >> k;
        rep(j, k) {
            int v, c; cin >> v >> c;
            adj[u].emplace_back(Edge(v, c));
        }
    }

    // 初期化
    rep(i, n) {
        dist[i] = (i == 0) ? 0 : INT_INF;
        pq.push(Node(i, dist[i]));
    }

    while (!pq.empty()) {
        Node popped = pq.top();
        pq.pop();

        for (auto &edge: adj[popped.pos]) {
            Node next(edge.to_node, popped.sum_cost + edge.cost);
            if (next.sum_cost < dist[edge.to_node]) {
                pq.push(next);
                dist[edge.to_node] = next.sum_cost;
            }
        }
    }

    rep(i, n) {
        cout << i << ' ' << dist[i] << endl;
    }
}

C++: #include <iostream>
#include <algorithm>
#include <queue>
using namespace std;
static const int M = 10000;

int n;
vector<pair<int,int> > a[M];

void dijkstra(void);

int main(){
  int x,y,z,w,i,j;

  cin >> n;
  for(i = 0;i < n;i++){
    cin >> x >> y;
    for(j = 0;j < y;j++){
      cin >> z >> w;
      a[x].push_back(make_pair(z,w));
    }
  }
  dijkstra();

  return 0;
}

void dijkstra(void){
  priority_queue<pair<int,int> > PQ;
  int color[M],d[M],i,j,x,z;

  for(i = 0;i < n;i++){
    d[i] = 10000000;
    color[i] = 0; //0=white
  }
  d[0] = 0;
  PQ.push(make_pair(0,0));
  color[0] = 1; //1=gray

  while(!PQ.empty()){
    pair<int,int>f = PQ.top(); PQ.pop();
    x = f.second;
    color[x] = 2; //2=black
    if(d[x] < f.first * (-1)) continue;

    for(j = 0;j < a[x].size();j++){
      z = a[x][j].first;
      if(color[z] == 2) continue;
      if(d[z] > d[x] + a[x][j].second){
	d[z] = d[x] + a[x][j].second;
	PQ.push(make_pair(d[z] * (-1),z));
	color[z] = 1;
      }
    }
  }
  for(i = 0;i < n;i++){
    cout << i << " " << (d[i] == 10000000 ? -1 : d[i]) << endl;
  }
}