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 <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()
{
    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;
}

C++: #include<iostream>
#include<cstring>
#include<algorithm>
using namespace std;

int x[10000][2000];
int x2[10000][2000];
int y[10000];
int z[10000];

int main() {
	memset(x, 1, sizeof(x));
	memset(y, 1, sizeof(y));
	int n, a, b, c, d, e;
	cin >> n;
	for (int i = 0; i < n; i++) {
		cin >> a >> b;
		for (int i = 0; i < b; i++) {
			cin >> c >> d;
			x[a][z[a]] = c;
			x2[a][z[a]] = d;
			z[a]++;
		}
	}
	y[0] = 0;
	e = min(n, 1600);
	for (int i = 0; i < e; i++) {
		for (int j = 0; j < n; j++) {
			for (int k = 0; k < z[j]; k++) {
				y[x[j][k]] = min(y[x[j][k]], y[j] + x2[j][k]);
			}
		}
	}
	for (int i = 0; i < n; i++) {
		cout << i << ' ' << y[i] << endl;
	}
	return 0;
}

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

#define MAX 10000
#define INF INT_MAX
#define WHITE 0
#define GRAY 1
#define BLACK 2

vector<pair<int, int> > M[MAX];
int n;
int col[MAX];
int d[MAX];

void init() {
	for (int i = 0; i < n; i++) {
		col[i] = WHITE;
		d[i] = INF;
	}
}
void input() {
	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;
			M[u].push_back(make_pair(v, c));
		}
	}
}
void dijkstra(int s) {
	d[s] = 0;
	priority_queue<pair<int, int> > PQ;
	PQ.push(make_pair(d[s] * (-1), s));
	col[s] = GRAY;
	while (!PQ.empty()) {
		pair<int, int> f = PQ.top();
		PQ.pop();
		int u = f.second;
		col[u] = BLACK;
		if (d[u] < f.first * (-1))
			continue;
		for (int j = 0; j < M[u].size(); j++) {
			int v = M[u][j].first;
			if (col[v] != BLACK) {
				if (d[u] + M[u][j].second < d[v]) {
					d[v] = d[u] + M[u][j].second;
					col[v] = GRAY;
					PQ.push(make_pair(d[v] * (-1), v));
				}
			}
		}
	}
}
void output() {
	for (int i = 0; i < n; i++) {
		cout << i << " " << d[i] << endl;
	}
}

int main() {
	cin >> n;
	init();
	input();
	dijkstra(0);
	output();
	return 0;
}

C++: #include<iostream>
#include<queue>
#include<vector>
#include<algorithm>
using namespace std;

int INF=1000000001;

typedef struct edge{
  int to;
  int cost;
}edge;

int N,E;
vector <edge> G[100001];
int mincost[100000];

void dikstra(){
  //priority_queue?????£?¨?
  typedef pair<int, int> P;
  priority_queue<P, vector<P>, greater<P> > Q;

  //mincost??????????????????????????????
  for(int i=0;i<N;i++){
    mincost[i]=INF;
  }
  mincost[0]=0;//??????????????°????????????0

  Q.push(P(0,0));
  //????????????????????????????????¬???
  while(!Q.empty()){
    int pos=Q.top().second;//position
    int pos_cost=Q.top().first;
    Q.pop();
    
    if(mincost[pos] < pos_cost ){
      continue;
    }

    for(int i=0;i<(int)G[pos].size();i++){
      edge e=G[pos][i];
      if(mincost[e.to]>pos_cost+e.cost){
        mincost[e.to]=pos_cost+e.cost;
        Q.push(P(mincost[e.to], e.to));
      }
    }
      
  }
  for(int i=0;i<N;i++){
      cout<<i<<' '<<mincost[i]<<endl;
    }
}

int main(){
  cin>>N;
  for(int i=0;i<N;i++){
    int id, k;
    cin >> id >> k;
    for(int j=0;j<k;j++){
      edge e;
      cin >> e.to >> e.cost;
      G[id].push_back(e);
    }
  }
  dikstra();
  return 0;
}