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++: #define dbg(...) fprintf(stderr,__VA_ARGS__)
#define dpr(x) cerr<<#x<<": "<<x<<endl;
#define dprc(c) do{cerr<<#c<<":";for(auto&_i:(c)){cerr<<" "<<_i;}cerr<<endl;}while(0)
#include <bits/stdc++.h>
using namespace std;
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef vector<vi> vvi;
int INF = 1e9+7;
#define all(c) (c).begin(), (c).end()
#define tr(i,c) for(auto i=(c).begin();i!=(c).end();i++)
#define rtr(i,c) for(auto i=(c).rbegin();i!=(c).rend();i++)
#define rep(i,b) for(auto i=0;i<(b);i++)
#define pb push_back
#define sz(c) int((c).size())

int main(int argc, char **argv)
{
  int n;
  scanf("%d", &n);

  vector<vector<pii>> G(n, vector<pii>());
  for (int i = 0; i < n; i++) {
    int u, k, v, c;
    scanf("%d %d", &u, &k);
    for (int j = 0; j < k; j++) {
      scanf("%d %d", &v, &c);
      G[u].pb(pii(v, c));
    }
  }

  vi d(n, INF);
  vector<bool> visited(n, false);
  int vc = 0;
  priority_queue<pii, vector<pii>, greater<pii>> q;

  d[0] = 0;
  visited[0] = true;
  vc = 1;
  q.push(pii(0, 0));
  
  while(!q.empty()) {
    pii p = q.top(); q.pop();
    int u = p.second;

    if (d[u] < p.first) continue;

    visited[u] = true;
    for (auto e:G[u]) {
      int v = e.first;
      int c = e.second;
      if (!visited[v] && (d[u] + c < d[v])) {
        d[v] = d[u] + c;
        q.push(pii(d[v], v));
      }
    }
  }

  for (int i = 0; i < n; i++) {
    printf("%d %d\n", i, d[i]);
  }

  return 0;
}

C++: #include<iostream>
#include<algorithm>
#include<queue>
using namespace std;
static const int MAX = 10000;
static const int INF=(1<<20);
static const int SHIRO=0;
static const int HAI=1;
static const int KURO=2;
int n;
vector<pair<int, int> > adj[MAX];

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

  while( !PQ.empty()){
    pair<int, int>f=PQ.top();
    PQ.pop();
    int u=f.second;
    color[u]=KURO;
    if(d[u]<f.first*(-1)){
      continue;
    }
    for(j=0;j<adj[u].size();j++){
      v=adj[u][j].first;
      if(color[v]==KURO){
        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]=HAI;
      }
    }
  }
  for(i=0;i<n;i++){
    cout << i << " " << (d[i]==INF ? -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;
    adj[u].push_back(make_pair(v,c));
    }
  }
  dij();

  return 0;
}

C++: #include <iostream>
#include <queue>
#include <algorithm>
#include <vector>


using namespace std;

using ll = long long;

const ll MAX = 10000;


vector<vector<pair<ll, ll>>> graph;
bool finished[MAX] = {};
ll d[MAX];
ll n;


void dijkstra()
{
    priority_queue<pair<ll, ll>, vector<pair<ll, ll>>, greater<pair<ll, ll>>> pq;
    pq.push(make_pair(0, 0));

    while (!pq.empty()) {
        auto p = pq.top();
        pq.pop();

        if (finished[p.second])
            continue;

        for (auto e : graph[p.second]) {
            if (!finished[e.second]) {
                pq.push(make_pair(p.first + e.first, e.second));
            }
        }
        finished[p.second] = true;
        d[p.second] = p.first;
    }
}


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

    dijkstra();

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