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<cstdio>
#include<string>
#include<algorithm>
#include<cstring>
#include<vector>
#include<queue>
using namespace std;
#define INT(x) int x; scanf("%d",&x)
#define INPUT(x) scanf("%d",&x)
#define REP1(x,n) for(int x = 0; x < n; x++)
#define REP2(x,s,e) for(int x = s; x <= e; x++)
#define BR printf("\n")
#define INF 2000000000

class edge{
public:
    int toid;
    int norm;
    int dist;
    edge(int toid,int norm,int dist){
        this -> toid = toid;
        this -> norm = norm;
        this -> dist = dist;
    }
    bool operator < (const edge &E) const {
        return dist < E.dist;
    }
    bool operator > (const edge &E) const {
        return dist > E.dist;
    }
};

vector<edge> V[10000];
int d[10000];
int count_P = 0;
priority_queue<edge,vector<edge>,greater<edge> > PQ;

void Dijksra(int i,int dist,int n){
    PQ.pop();
    d[i] = dist;
    count_P++;
    if(count_P == n) return;
    
    REP1(k,V[i].size()){
        if (d[V[i][k].toid] == INF){
            V[i][k].dist = dist + V[i][k].norm;
            PQ.push(V[i][k]);
        }
    }
    
    while (d[PQ.top().toid] != INF) PQ.pop();
    if (!PQ.empty()) Dijksra(PQ.top().toid,PQ.top().dist,n);
}

int main(){
    INT(N);
    REP1(i,N) d[i] = INF;
    REP1(i,N){
        int from,n;
        scanf("%d %d",&from,&n);
        REP1(j,n){
            int toid,norm;
            scanf("%d %d",&toid,&norm);
            edge E = edge(toid,norm,INF);
            V[i].push_back(E);
        }
    }
    
    PQ.push(edge(0,0,0));
    Dijksra(PQ.top().toid,0,N);
    
    REP1(i,N){
        printf("%d %d\n",i,d[i]);
    }
    
    return 0;
}

C++: #include <iostream>
using namespace std;
static const int maxs=10000;
static const int infty=(1<<21);
static const int white=0;
static const int gray=1;
static const int black=2;

int n,m[maxs][maxs];

void dicstra(){
  int minv;
  int d[maxs],color[maxs];
  for(int i=0;i<n;i++){
    d[i]=infty;
    color[i]=white;
  }
  d[0]=0;
  color[0]=gray;
  while(1){
    minv=infty;
    int u=-1;
    for(int i=0;i<n;i++){
      if(minv>d[i]&&color[i]!=black){
	u=i;
	minv=d[i];
      }
    }
    if(u==-1)break;
    color[u]=black;
    for(int v=0;v<n;v++){
      if(color[v]!=black&&m[u][v]!=infty){
	if(d[v]>d[u]+m[u][v]){
	  d[v]=d[u]+m[u][v];
	  color[v]=gray;
	}
      }
    }
  }
  for(int i=0;i<n;i++){
    cout<<i<<" "<<(d[i]==infty?-1:d[i])<<endl;
  }
}

int main(){
  cin>>n;
  for(int i=0;i<n;i++){
    for(int j=0;j<n;j++){
      m[i][j]=infty;
    }
  }
  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;
      m[u][v]=c;
    }
  }
  dicstra();
  return 0;
}

C++: #include<iostream>
#include<stdio.h>
#define MAX 200000
#define NIL -1
#define B -2
#define W -1
#define G 0
#include<queue>
#include<vector>
#include<algorithm>
using namespace std;

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

int c;
int vv;

queue <int> Q;
struct tre {
	int v;
	int weight;
};

tre b;

vector <tre> M[MAX];
void DIJKSTRA() {
	for (int i = 0; i < n; i++) {
		d[i] = 9000000;
		p[i] = NIL;
		color[i] = W;
	}
	d[0] = 0;
	color[0] = B;
	int s = 0;
	Q.pop();
	
	while (!Q.empty()) {
		
		for (int i = 0; i < M[s].size(); i++) {
			if (color[M[s][i].v] != B) {

				if (d[M[s][i].v] > d[s] + M[s][i].weight) {

					d[M[s][i].v] = d[s] + M[s][i].weight;
					p[M[s][i].v] = s;
					color[M[s][i].v] = G;
					

					  
				}
			}
		}
		int a = 0;
		int mini = MAX;
		for (int j = 0; j < n; j++) {

			if (color[j] == G) {
				if(mini>d[j]){
					a = j;
				}
				mini = min(mini, d[j]);
			}

		}
		s = a;
		color[a] = B;
		Q.pop();
	
	}

}
int main(){

	cin >> n;
	
	
	for (int i = 0; i < n; i++) {
		cin >> u; cin >> k;
		for (int j = 0; j < k; j++) {
			cin >> vv >> c;
			b.v = vv;
			b.weight = c;
			M[u].push_back(b);
			
		}Q.push(i);
	}

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

C++: #include <iostream>
#include <algorithm>
#include <queue>
using namespace std;
#define MAX 10000
#define INFTY 1<<22
#define WHITE 0
#define GRAY 1
#define BLACK 2

// 重み付き有向グラフの隣接リスト
vector<pair<int,int>> adj[MAX];

void dijkstra(int n){
    priority_queue<pair<int,int>>pq;
    // weight[v]に始点sからvまでの最短コストを保存する
    int weight[MAX];
    // 訪問状態を記録
    int color[MAX];
    // 1.初期化
    for(int i = 0;i < n;++i){
        weight[i] = INFTY;
        color[i] = WHITE;
    }
    
    // 始点
    weight[0] = 0;
    color[0] = GRAY;
    pq.push(make_pair(0,0));
    
    while(pq.empty()){
        pair<int,int> first = pq.top();
        pq.pop();
        // 頂点
        int u = first.second;
        color[u] = BLACK;
        
        // 最短値を取りだして、最短でなければ飛ばす
        if(weight[u] < first.first * -1) continue;
        
        for(int i = 0;i < adj[u].size();++i){
            int v = adj[u][i].first;
            if(color[v] == BLACK)continue;
            if(weight[v] > weight[u] + adj[u][i].second){
                weight[v] = weight[u] + adj[u][i].second;
                // priority_queueはデフォルトで大きい値を優先するので-にする
                pq.push(make_pair(weight[v] * -1, v));
                color[v] = GRAY;
            }
        }
    }
    
    // 出力
    for(int i = 0;i < n;++i){
        cout << i << " " << ( weight[i] == INFTY ? -1 : weight[i] ) << endl;
    }
}

int main(){
    int n,k,c,u,v;
    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(n);
    return 0;
}