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;

vector<int> adja[10000], cost[10000];

#define INF (1 << 30)

int main() {
	int n, id, k;

	cin >> n;
	for (int i = 0; i < n; ++i) {
		cin >> id >> k;
		adja[id].resize(k);
		cost[id].resize(k);
		for (int j = 0; j < k; ++j) {
			cin >> adja[id][j] >> cost[id][j];
		}
	}

	priority_queue<pair<int, int>> que;
	que.push(make_pair(0, 0)); //cost, node
	int best[10000];
	fill(best, best + n, INF);
	best[0] = 0;

	while (!que.empty()) {
		pair<int, int> top = que.top();
		que.pop();

		for (int j = 0, len = adja[top.second].size(); j < len; ++j) {
			if (best[adja[top.second][j]] > top.first + cost[top.second][j]) {
				best[adja[top.second][j]] = top.first + cost[top.second][j];
				que.push(make_pair(top.first + cost[top.second][j], adja[top.second][j]));
			}
		}
	}

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

	return 0;
}

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

int n;
int MAXIMUM=10000;
int INF = 123456789;
// W:未訪問
// G:訪問する候補
// B:訪問済み
int W=0,G=1,B=2;
vector<pair<int,int>> adj[10000];

int dijkstra(){
  priority_queue<pair<int,int>> PQ;
  int u,minv;
  int d[MAXIMUM],color[MAXIMUM];
  // d[n]:Tに属する頂点と V - T に属する頂点をつなぐ辺の中で重みが最小の辺の重みを記録

  //初期化
  for(int i=0;i<n;i++){
    d[i]=INF;
    color[i]=W;
  }

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

  while (!PQ.empty()) {
    pair<int,int> f = PQ.top();
    PQ.pop();
    u = f.second;
    // 頂点を訪問済に
    color[u] = B;
    //最小値を取り出し、それが最短でなければ無視
    if( d[u]<f.first*(-1)) continue;

    //訪問済みでないかつ辺がつながっている頂点の中でコストが最小の辺を選択
    for(int j=0;j<adj[u].size();j++){
      int v = adj[u][j].first;
      if(color[v]== B) 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]=G;
      }
    }
  }

  for(int i=0;i<n;i++){
    if(d[i]!=INF) cout<<i<<" "<<d[i]<<endl;
    else cout<<i<<" "<<-1<<endl;
  }
}

int main(){
  cin>>n;
  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;
      adj[u].push_back(make_pair(v,c));
    }
  }

  dijkstra();

}

C++: 
#include<stdio.h>
#include<algorithm>
#include<queue>

using namespace std;

#define MAX 10000
#define INFINITY 300000

int n;
int color[MAX], d[MAX];

vector< pair<int, int> > adj[MAX];

enum Color {
    WHITE,
    GRAY,
    BLACK
};

void dijkstra() {
    priority_queue<pair<int, int> >PQ;
    for (int i = 0; i < n; ++i) {
        color[i] = WHITE;
        d[i] = INFINITY;
    }
    d[0] = 0;
    PQ.push(make_pair(0,0));

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

        color[target] = BLACK;
        if (d[target] < p.first * -1) continue;

        for (int j = 0; j < adj[target].size(); ++j) {
            int v = adj[target][j].first;
            if (color[v] != BLACK) {
                if(adj[target][j].second + d[target] < d[v]) {
                    d[v] = d[target] + adj[target][j].second;
                    color[v] = GRAY;
                    PQ.push(make_pair(d[v] * -1, v));
                }
            }
        }
    }

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

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

C++: #include <iostream>
// #include <vector> 
#include <algorithm>
#include <queue>
#include <cstdio> 
using namespace std;
static const int MAX = 10000;
static const int INFTY = (1<<20);
int d[MAX],color[MAX];
int n;
vector<pair<int, int> > adj[MAX];

void dijkstra()
{
    priority_queue<pair<int, int> > PQ;
    for (int i = 0; i < n; i++)
    {
        d[i] = INFTY;
        color[i] = 0;
    } 
    d[0] = 0;
    PQ.push(make_pair(0,0));
    color[0] = 1;
    while (!PQ.empty())
    { 
        pair<int, int> f = PQ.top(); PQ.pop();
        int u = f.second;
        color[u] = 2;
        
        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] == 2) 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] = 1;
            } 
        } 
    } 

    return;
}


int main()
{
    //freopen("in3.txt","r",stdin);
    int u,k,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();
    for (int i = 0; i < n; i++)
    {
        cout<<i<<" "<<d[i]<<endl; 
    } 
    return 0;
}