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>

#define INF 1000000000
using namespace std;

struct edge {
    int from;
    int to;
    int w;
};
struct node {
    node() : id {-1}, d {INF}, ns {} {};
    node(int i, vector<edge>& vec) : id {i}, d {INF}, ns {vec} {};
    int id;
    int d;
    vector<edge> ns;
};

vector<int> dijkstra(node* graph, int n, int st){
    auto ds = vector<int>(n, INF);
    auto comp = [](node* x, node* y){return x->d > y->d;};
    priority_queue<node*, vector<node*>, decltype(comp)> que(comp);
    node* start = &graph[st];
    start->d = 0;
    que.push(start);
    while(que.size()){
        node* n = que.top();
        //cout << n->id << ' ' << n->d << endl;
        que.pop();
        if(n->d < ds[n->id]){
            ds[n->id] = n->d;
            for(auto e : n->ns){
                node* next_n = &graph[e.to];
                if(ds[next_n->id] < INF){
                    continue;
                }
                next_n->d = min(next_n->d, n->d + e.w);
                que.push(next_n);
            }
        }
    }
    return ds;
}

int main(){
    cin.sync_with_stdio(false);
    cout.sync_with_stdio(false);
    int n;
    cin >> n;
    node graph[n];
    for(int i = 0; i < n; ++i){
        int id;
        int m;
        cin >> id >> m;
        auto vec = vector<edge>(m);
        int v, c;
        for(int j = 0; j < m; ++j){
            cin >> v >> c;
            vec[j] = edge {id, v, c};
        }
        graph[id] = node(id, vec);
    }
    auto ds = dijkstra(graph, n, 0);
    for(int i = 0; i < n; ++i){
        cout << i << ' ' << ds[i] << endl;
    }
}

C++: #include<iostream>
#include<algorithm>
#include<queue>
using namespace std;
static const int MAX = 10000;
static const int INFTY = (1<<20);

int n;
vector<pair<int,int> > G[MAX];

void dij(){
  priority_queue<pair<int,int> > PQ;
  int color[MAX], d[MAX], i, j, u, v;
  for(i = 0; i < n; i++){
    d[i] = INFTY;
    color[i] = 0;
  }
  d[0] = 0;
  PQ.push(make_pair(0,0));
  color[0] = 1;

  while(!PQ.empty()){
    pair<int,int> f = PQ.top();
    PQ.pop();
    u = f.second;
    color[u] = 2;

    if(d[u] = f.first * (-1)) continue;
    for(j = 0; j < G[u].size(); j++){
      v = G[u][j].first;
      if(color[v] == 2) continue;
      if(d[v] > d[u] + G[u][j].second){
        d[v] =  d[u] + G[u][j].second;
        PQ.push(make_pair(d[v] * (-1), v));
        color[v] = 1;
      }
    }
  }

  for(i = 0; i < n; i++){
    cout << i << " " << (d[i] == INFTY ? -1 : d[i]) << endl;
  }
}
int main()
{
  int k, u, v, c, i, j;

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

  dij();
  return 0;
}

C++: #include <iostream>
#include <algorithm>
#include <queue>
using namespace std;
static const int MAX = 10000;
static const int INFTY = (1<<20);
static const int WHITE = 0;
static const int GRAY = 1;
static const int BLACK = 2;

int n;
vector< pair<int,int> > adj[MAX];

void dijkstra(){
	priority_queue< pair<int,int> > PQ;
	int color[MAX];
	int d[MAX];
	for(int i=0;i<n;i++){
		d[i] = INFTY;
		color[i] = WHITE;
	}

	d[0] = 0;
	PQ.push(make_pair(0,0));
	color[0] = GRAY;

	while(!PQ.empty()){
		pair<int,int> f = PQ.top(); PQ.pop();
		int u = f.second;
		color[u] = BLACK;

		if(d[u] < f.first * (-1)) continue;

		for(int j=0; j<adj[u].size(); j++){
			int v = adj[u][j].first;
			if(color[v] == BLACK) continue;
			if(d[v] > d[u] + adj[u][j].second){
				d[v] = d[u] + adj[u][j].second;
				PQ.push(make_pair(d[v]*(-1), v));
				color[v] = GRAY;
			}
		}
	}

	for(int i=0; i<n; i++){
		cout << i << " " << (d[i] == INFTY ? -1 : d[i]) << endl;
	}
}

int main(){
	cin >> n;

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

	dijkstra();

	return 0;
}

C++: #include <iostream>
#include <vector>
#include <queue>
#include <algorithm>
using namespace std;
const int INF=(int)1e9+7;

int main(){
    //入力パート 1問目と同じ
    int n; cin>>n;
    vector<pair<int,int>> tonari[100010]; //隣接リスト 一つ目が行先の頂点で二つ目が辺のコスト
    vector<int> dist(n,INF); //各頂点の（暫定）最短距離を格納
    vector<bool> det(n,false); //各頂点の最短距離が確定しているか格納
    for(int i=0;i<n;++i){
        int u,k,c,v;
        cin>>u>>k;
        for(int j=0;j<k;++j){
            cin>>c>>v;
            tonari[u].push_back(make_pair(c,v));
        }
    }
    //探索パート
    dist[0]=0; //出発地点の最短距離は0
    priority_queue<pair<int,int>,vector<pair<int,int>>,greater<>> pq; //1つ目は暫定最短距離，2つ目が頂点番号
    pq.push(make_pair(0,0));
    while(!pq.empty()){
        pair<int,int> node=pq.top();
        pq.pop();
        if(det[node.second]) continue;
        det[node.second]=true;
        for(auto tsugi:tonari[node.second]){
            if(dist[tsugi.first]>dist[node.second]+tsugi.second){
                 dist[tsugi.first]=dist[node.second]+tsugi.second;
                 pq.push(make_pair(dist[tsugi.first],tsugi.first));
            }
        }
    }
    //出力パート 1問目と同じ
    for(int i=0;i<n;++i){
        cout<<i<<" "<<dist[i]<<endl;
    }
    return 0; 
}