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 INF=(1<<20);
static const int WH=0;
static const int GRY=1;
static const int BL=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]=INF;
    color[i]=WH;
  }

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

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

    color[u]=BL;

    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] == BL) 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]=GRY;
      }
    }
  }

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

struct node_s {
    int id;
    int d;
};

vector<int> dijkstra(node* graph, int n, int st){
    auto ds = vector<int>(n, INF);
    auto comp = [](node_s* x, node_s* y){return x->d > y->d;};
    priority_queue<node_s*, vector<node_s*>, decltype(comp)> que(comp);
    node_s* start = new node_s {graph[st].id, 0};
    que.push(start);
    while(que.size()){
        node_s* 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 : graph[n->id].ns){
                if(ds[e.to] < INF){
                    continue;
                }
                node_s* next_n = new node_s {graph[e.to].id, ds[n->id] + e.w};
                que.push(next_n);
            }
        }
        delete 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 <bits/stdc++.h>
using namespace std;
typedef long long ll;

struct Edge{
    ll target;
    ll weight;
};

struct State{
    ll node;
    ll sum_of_weight;

    bool operator < (const State& s)  const {
        return sum_of_weight > s.sum_of_weight;
    }
};

typedef vector<vector<Edge> > graph;

void dijkstra(graph &g, vector<ll>&d, ll start){

    priority_queue<State> pq;
    pq.push(State{start,0});

    while( pq.size() ){

        State s = pq.top(); pq.pop();

        if( d[s.node] != -1 ) continue;
        d[s.node] = s.sum_of_weight;

        for(auto edge: g[s.node]) {
            if( d[edge.target] != -1 ) continue;
            pq.push(State{edge.target, s.sum_of_weight + edge.weight});

        }
    }

}


int main(){

    ll N;
    cin >> N;

    graph G(N);
    for (int i = 0; i < N; i++)
    {
        ll u,k;
        cin >> u >> k;
        for (int j = 0; j < k; j++)
        {
            ll v,c;
            cin >> v >> c;
            G[u].push_back(Edge{v,c});
        }
    }

    vector<ll> d(N,-1);

    ll count = 1;
    dijkstra(G,d,0);

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

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

#define MAX 10000
#define WHITE 0
#define GRAY 1
#define BLACK 2
static int INF = (1<<20);

void dijkstra(void);

int n;
int M[MAX][MAX];

int main(){
  int i,j;
  int c,k,u,v;
  cin >> n;
  for( i = 0; i < n; i++){
    for(j = 0; j < n; j++){
      //M[i][j] = INFINITY;
      M[i][j] = INF;
    }
  }
  for(i = 0; i < n; i++){
    cin >> u;
    cin >> k;
    for(j = 0; j < k; j++){
      cin >> v;
      cin >> c;
      M[u][v] = c;
    }
  }
  dijkstra();
  return 0;
}

void dijkstra(){
  int minV;
  int d[MAX],color[MAX];
  int u,v;
  int i;
  for(i = 0; i < n; i++){
    //d[i] = INFINITY;
    d[i] = INF;
    color[i] = WHITE;
  }
  d[0] = 0;
  color[0] = GRAY;
  while(1){
    //minV = INFINITY;
    minV = INF;
    u = -1;
    for(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(v = 0; v < n; v++){
      //if(color[v] != BLACK && M[u][v] != INFINITY){
      if(color[v] != BLACK && M[u][v] != INF){
        if(d[v] > d[u] + M[u][v]){
          d[v] = d[u] + M[u][v];
          color[v] = GRAY;
        }
      }
    }
    }
    for(i = 0; i < n; i++){
      //cout << i << " " << (d[i] == INFINITY ? -1 : d[i]) << endl;
      cout << i << " " << (d[i] == INF ? -1 : d[i]) << endl;
    }
  }