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>
#include <vector>
#include <queue>
using namespace std;
typedef vector <int> vi;
typedef vector <vi> vvi;

class blanch{
	public:
		int weight;
		int total;
		int from;
		int to;
		blanch():
			weight(0), from(0), to(0){};
		blanch(int newweight, int newfrom, int newto):
			weight(newweight), from(newfrom), to(newto){};
};
typedef vector <blanch> vb;


bool operator<( const blanch &blanch1, const blanch &blanch2){
	return (blanch1.weight > blanch2.weight);
	}

bool operator>( const blanch &blanch1, const blanch &blanch2){
	return (blanch1.weight < blanch2.weight);
	}

int make_graph(vvi &graph, vi &stamp){
	int n=graph.size();
	for (int i=0; i<n; i++){
		for (int j=0; j<n; j++){
			graph[i][j]=0;
		}
	}

	for (int j=0; j<n; j++){
		int i2,n2;
		cin>>i2;
		cin>>n2;
		for (int i=0; i<n2; i++){
			int j2;
			cin>>j2;
			cin>>graph[i2][j2];
		}
		stamp[i2] = -1;
	}
	return 0;
}

int Shortest_Path(vvi &graph, vi &stamp){

	priority_queue<blanch, vb, less<vb::value_type> > pq;
	int n = graph.size(), p1=0;
	stamp[p1] = 0;

	while (p1!=-1){
		for (int p2=0; p2<n; p2++){
			int *tmp = &graph[p1][p2];
			if (*tmp!=0 && stamp[p2]==-1){
				pq.push(blanch(*tmp+stamp[p1], p1, p2));
			}
		}
		p1 = -1;
		while (! pq.empty()){
			blanch tmp = pq.top();
			if (stamp[tmp.from]!=-1 && stamp[tmp.to]==-1){
				p1 = tmp.to;
				stamp[p1] = tmp.weight;
				pq.pop();
				break;
			} else
				pq.pop();
		}
	}
	return 0;
}

int resultout(vi &stamp){
	int n = stamp.size();
	for (int i=0; i<n; i++){
		cout<<i<<" "<<stamp[i]<<endl;
	}
	return 0;
}

int main(void){

	int n;
	cin>>n;
	vvi G(n, vi(n));
	vi stamp(n);

	make_graph(G, stamp);

	Shortest_Path(G, stamp);

	resultout(stamp);

	return 0;
}

C++: #include <bits/stdc++.h>
using namespace std;
#define MAX_N 10000

typedef pair<long, long> P;

long N, d[MAX_N];
vector<P> edge[MAX_N];

void dijkstra(){
    bool seen[N];
    fill(seen, seen + N, false);
    priority_queue<P, vector<P>, greater<P> > todo;
    todo.push(P(0, 0));
    
    while(!todo.empty()){
        long dist = todo.top().first, v = todo.top().second;
        todo.pop();
        if(seen[v]) continue;
        d[v] = dist;
        seen[v] = true;
        for(long i = 0; i < edge[v].size(); i++){
            long w = edge[v][i].second, u = edge[v][i].first;
            if(d[v] + w < d[u]){
                d[u] = d[v] + w;
                todo.push(P(d[u], u));
            }
        }
    }
}

int main(){
    cin >> N;
    fill(d, d + MAX_N, LONG_MAX);
    for(long i = 0; i < N; i++){
        long v, k, u, c;
        cin >> v >> k;
        for(long j = 0; j < k; j++){
            cin >> u >> c;
            edge[v].push_back(P(u, c));
        }
    }
    
    dijkstra();
    
    for(long i = 0; i < N; i++)
        cout << i << " " << d[i] << endl;
    
    return 0;
}

C++: #include <bits/stdc++.h>
using namespace std;

int INF;
int n;
vector<pair<int, int>> es[10000];

// sから各頂点への最短経路を求める
void dijkstra () {
  
  priority_queue<pair<int, int>> pq;
  int d[10000];

  // 0:未調査 1:調査中 2:調査完了
  int status[10000];

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

  d[0] = 0;
  status[0] = 1;
  pq.push(make_pair(0,0));

  while (!pq.empty()) {

    pair<int, int> p = pq.top(); pq.pop();
    int u = p.second;
    status[u] = 2;

    // 最小値を取り出し、それが最短でなければ無視
    if (d[u] < p.first * (-1)) {
      continue;
    }
    
    for (int i = 0; i < es[u].size(); i++) {
      int v = es[u][i].first;
      if (status[v] == 2) {
        continue;
      }
      if (d[u] + es[u][i].second < d[v]) {
        d[v] = d[u] + es[u][i].second;
        // priority_queueはデフォルトで大きい順を優先するため-1を掛ける
        pq.push(make_pair(d[v] * (-1), v));
        status[v] = 1;
      }
    }
    
  }
  for (int i = 0; i < n; i++) {
    if (d[i] == INF) {
      cout << i << " -1" << endl;
    } else {
      cout << i << " " << d[i] << endl;
    } 
  }
}

int main() {
  
  cin >> n;

  INF = 20000000;

  // 入力を受け取る
  for (int i = 0; i < n; i++) {
    int u, k;
    cin >> u >> k;
    for (int j = 0; j < k; j++) {
      int v, c;
      cin >> v >> c;
      es[u].push_back(make_pair(v,c));
    }
  }

  // ダイクストラ法開始
  dijkstra();

  return 0;
}