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>
using namespace std;

const int MAX=105;
int state[MAX],N,D[MAX];
vector<pair<int,int>> S[MAX];
priority_queue<pair<int,int>> Q;

void dijkstra(){
    int cnt=1;
    for(int i=0;i<N;i++){
        state[i]=0;
        D[i]=10000000;
    }
    state[0]=1;
    D[0]=0;
    for(int i=0;i<S[0].size();i++){
        Q.push(make_pair(-S[0][i].second,S[0][i].first));
        D[S[0][i].first]=min(D[S[0][i].first],D[0]+S[0][i].second);
    }
    while(1){
        int a=Q.top().second;
            if(state[a]==0){
            Q.pop();
            state[a]=1;
            for(int i=0;i<S[a].size();i++){
                if(state[S[a][i].first]==0){
                    Q.push(make_pair(-(D[a]+S[a][i].second),S[a][i].first));
                    D[S[a][i].first]=min(D[S[a][i].first],D[a]+S[a][i].second);
                }
            }
                cnt++;
        }
        else Q.pop();
        if(cnt==N) break;
    }
    return;
}


int main(){

    cin>>N;
    for(int i=0;i<N;i++){
        int l,a;cin>>l>>a;
        for(int j=0;j<a;j++){
            int b,c;cin>>b>>c;
            S[i].push_back(make_pair(b,c));
        }
    }
    dijkstra();
    for(int i=0;i<N;i++){
        cout<<i<<" "<<D[i]<<endl;
    }
}

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

using namespace std;

typedef long long int ll;
typedef pair<ll, ll> pll;

#define FOR(i, n, m) for(ll (i)=(m);(i)<(n);++(i))
#define REP(i, n) FOR(i,n,0)
#define OF64 std::setprecision(10)

const ll MOD = 1000000007;
const ll INF = (ll) 1e15;

struct Vertex {
    vector<pll> node;
};

Vertex V[10005];
ll C[10005];

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    ll N;
    cin >> N;
    REP(i, N) {
        ll n, k;
        cin >> n >> k;
        REP(_, k) {
            ll v, c;
            cin >> v >> c;
            V[n].node.push_back(pll(v, c));
        }
    }
    REP(i, N) {
        C[i] = INF;
    }
    priority_queue<pll, vector<pll>, function<bool(pll, pll)>> q([](pll a, pll b) { return a.second > b.second; });
    q.push(pll(0, 0));
    C[0] = 0;
    while (!q.empty()) {
        pll t = q.top();
        q.pop();
        if (C[t.first] < t.second)
            continue;
        for (auto &n : V[t.first].node) {
            ll nxt = n.first;
            ll cost = n.second + t.second;
            if (C[nxt] <= cost)
                continue;
            C[nxt] = cost;
            q.push(pll(nxt, cost));
        }
    }

    REP(i, N) {
        cout << i << " " << C[i] << endl;
    }
    return 0;
}

C++: #include <stdio.h>
#include <algorithm>
#include <iostream>
#include <queue>
using namespace std;
#define MAX 10000
#define INFTY 1000000000
#define WHITE 0
#define GRAY 1
#define BLACK 2

int num;
vector <pair<int,int> > adj[MAX]; //vector:動的に配列を確保する

void dijkstra(int s){
  priority_queue<pair<int,int> >PQ; 
  /*priority_queueとは
要素追加時 → 内部的に要素がソートされる
要素取出時 → 一番先頭にある要素が取り出される*/
  int i,u,v,j;
  int color[MAX],d[MAX];

  for(i=0; i<num; i++){
    color[i] = WHITE;
    d[i] = INFTY;
  }
  d[s] = 0;
  PQ.push(make_pair(0,0)); //pair使用時は型指定が必要だが、make_pairはそれを省略できる
  color[0] = GRAY;


  while(!PQ.empty()){
    pair<int,int> f = PQ.top(); //fに先頭をいれておき、popで取り出す
    PQ.pop();
    // .first: キーの値を取得    .second:実際の値を取得
    u = f.second;
    color[u] = BLACK;

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

    for(j=0; j<adj[u].size(); j++){
      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(i=0; i<num; i++){
    printf("%d ",i);
    if(d[i] == INFTY) printf("-1\n");
    else printf("%d\n",d[i]);
  }
}


int main(){
  int i,j,k,u,v,c;
  scanf("%d",&num);
  for(i=0; i<num; i++){
    scanf("%d%d",&u,&k);
      for(j=0; j<k; j++){
	scanf("%d%d",&v,&c);
	adj[u].push_back(make_pair(v,c));
      }
    }
  dijkstra(0);

  return 0;
}

C++: #include <iostream>
#include <cstdio>
#include <vector>
#include <string>
#include <bitset>
#include <cmath>
#include <iomanip>
#include <stack>
#include <set>
#include <queue>
#include <algorithm>
#include <deque>
using namespace std;

#define INF 1e18
#define int long long

static const int MAX = 100000;
static const int WHITE= 0;
static const int GRAY = 1;
static const int BLACK = 100000;

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] = INF;
        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] == INF ? -1 : d[i]) << endl;
    }

}

signed main() {
    int k, u, v, c;
    cin >> n;

    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;
}