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<algorithm>
#include<iostream>
//#include<cstdlib>
//#include<cstring>
//#include<cstdio>
//#include<vector>
#include<queue>
//#include<stack>
//#include<cmath>
//#include<list>
//#include<map>
//#include<set>
using namespace std;

//typedef vector<int> VI;
//typedef vector<VI> VVI;
//typedef vector<string> VS;
//typedef stack<int> SI;
//typedef queue<int> QI;
//typedef pair<int,int> PII;
//typedef long long LL;

//#define d(x)  cout<<#x<<" = "<<(x)<<endl;
//#define ALL(a)  (a).begin(),(a).end()
//#define RALL(a) (a).rbegin(), (a).rend()
//#define PB push_back
//#define MP make_pair
//#define EMP empty()
//#define SZ(a) int((a).size())
//#define EACH(i,c) for(typeof((c).begin()) i=(c).begin(); i!=(c).end(); ++i)
//#define REACH(i,c) for(typeof((c).rbegin()) i=(c).rbegin(); i!=(c).rend(); ++i)
//#define EXIST(s,e) ((s).find(e)!=(s).end())
//#define SORT(c,n) sort(c,c+n)
//#define VSORT(c) sort((c).begin(),(c).end())
//#define FOR(i,a,b) for(int i=(a);i<(b);++i)
//#define REP(i,n)  FOR(i,0,n)
//#define DFOR(i,b,a) for(int i=(b)-1;i>=(a);--i)
//#define DREP(i,n) DFOR(i,n,0)
//#define INF 1000000000

//const double EPS = 1e-10;
//const double PI  = acos(-1.0);
////////////////////////////////////////////////
static const int MAX=10000;
static const int INF=(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]=INF;
		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]==INF?-1:d[i])<<endl;
	}
}

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

C++: #include<iostream>
#include<cstdio>
#define INF 1<<30
#define FinishFunction return 0
#define MAX 1000000
using namespace std;
        
struct edge {
  int from,to,cost,k;
};
      
edge es[MAX];
      
int main(){
  int n,u,k,E,c,v;
  E = 0;
  scanf("%d",&n);
      
  for(int i=0;i<n;i++){
    scanf("%d %d",&u,&k);
         
    for(int j=0;j<k;j++){
      scanf("%d %d",&v,&c);
      es[E].from = u;
      es[E].to = v;
      es[E++].cost = c;
    }
  }
      
  // Ika berumanfo-do
  int d[MAX];
  for(int i=0;i<n;i++)d[i] = INF;
  d[0] = 0;
  while(true){
    bool update = false;
    for(int i=0;i<E;i++){
      edge e = es[i];
      if(d[e.from] != INF && d[e.to] > d[e.from] + e.cost){
    d[e.to] = d[e.from] + e.cost;
    update = true;
      }
    }
    if(!update)break;
  }
  for(int i=0;i<n;i++)cout << i << " " << d[i] << endl;
  FinishFunction;// return 0
}

C++: #include <bits/stdc++.h>
using namespace std;
#define MAX 10000
static const int INFTY = (1 << 20);
#define WHITE 0
#define BLACK 1

// グラフの頂点数
int n;
// 隣接リスト表現(第1成分は頂点番号、第2成分は辺の重み)
vector<vector<pair<int, int> > > G(MAX);
// 頂点のコストを記録する配列
vector<int> d(MAX, INFTY);
// 頂点の状態を記録する配列
vector<int> color(MAX, WHITE);

void dijkstra()
{
  // コストが小さいものを優先する優先度付きキュー
  // 第1成分は辺の重み*(-1)、第2成分は頂点番号
  priority_queue<pair<int, int> > PQ;
  // 初期化
  d.at(0) = 0;
  PQ.push(make_pair(0, 0));
  while (!PQ.empty())
  {
    pair<int, int> f = PQ.top();
    int v = f.second;
    PQ.pop();
    color.at(v) = BLACK;

    // 「余り物」の要素は無視する
    if (d.at(v) < f.first * (-1))
    {
      continue;
    }

    // vに隣接するV-Sの頂点uのdを更新する
    for (int i = 0; i < G.at(v).size(); i++)
    {
      int u = G.at(v).at(i).first;
      // 辺(v,u)の重み
      int cost = G.at(v).at(i).second;
      if (color.at(u) == WHITE)
      {
        // uがV-Sの頂点のとき
        if (d.at(v) + cost < d.at(u))
        {
          // uのdを更新する必要があるとき
          d.at(u) = d.at(v) + cost;
          PQ.push(make_pair(d.at(u) * (-1), u));
        }
      }
    }
  }
}

int main()
{
  cin >> n;
  for (int i = 0; i < n; i++)
  {
    int u, m;
    cin >> u >> m;
    for (int j = 0; j < m; j++)
    {
      int v, cost;
      cin >> v >> cost;
      G.at(u).push_back(make_pair(v, cost));
    }
  }

  dijkstra();

  for (int i = 0; i < n; i++)
  {
    cout << i << " " << d.at(i) << endl;
  }
}