Go: package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
)

const BIG_COST = 200000

type Path struct {
	node int
	cost int
}

func main() {
	sc := bufio.NewScanner(os.Stdin)
	sc.Split(bufio.ScanWords)

	nNodes := scanInt(sc)

	// 各頂点につながる頂点一覧を得るための隣接リスト
	graph := make([][]Path, nNodes)

	for i := 0; i < nNodes; i++ {
		u := scanInt(sc)
		k := scanInt(sc)
		graph[i] = make([]Path, k)
		for d := 0; d < k; d++ {
			graph[u][d] = Path{
				node: scanInt(sc),
				cost: scanInt(sc),
			}
		}
	}

	// 0 から各頂点への最小コストを保存する配列
	minCosts := make([]int, nNodes)

	minCosts[0] = 0
	for i := 1; i < nNodes; i++ {
		minCosts[i] = BIG_COST
	}

	// 各頂点が調査済みかどうかを保持する配列
	checked := make([]bool, nNodes)

	// 最小コストのパスを高速に取得するためのヒープ。
	// コストが小さいものほどルートに来るようにする。
	heap := NewHeap(func(a, b Path) bool {
		return a.cost < b.cost
	})

	heap.insert(Path{node: 0, cost: 0})
	for heap.size > 0 {
		u := heap.extractMax()

		// 隣接行列を使っていた時とは違い、ヒープには
		// 同じノードへのパスが複数含まれうる。そのため既によりコストの低い
		// パスが見つかっている場合は無視する。
		if minCosts[u.node] < u.cost {
			continue
		}

		checked[u.node] = true

		for _, v := range graph[u.node] {
			cost := v.cost + u.cost
			if !checked[v.node] && cost < minCosts[v.node] {
				minCosts[v.node] = cost
				heap.insert(Path{node: v.node, cost: cost})
			}
		}
	}

	w := bufio.NewWriter(os.Stdout)
	for i, cost := range minCosts {
		fmt.Fprintf(w, "%d %d\n", i, cost)
	}
	w.Flush()
}

func scanInt(sc *bufio.Scanner) int {
	sc.Scan()
	v, _ := strconv.Atoi(sc.Text())
	return v
}

// --- From ALDS1_9_C: Priority Queue

type Heap struct {
	size   int
	heap   []Path
	isHigh func(a, b Path) bool
}

func NewHeap(isHigh func(a, b Path) bool) Heap {
	heap := make([]Path, 1) // 先頭は不使用
	return Heap{size: 0, heap: heap, isHigh: isHigh}
}

func (h *Heap) insert(v Path) {
	h.size += 1
	if h.size > len(h.heap)-1 {
		h.heap = append(h.heap, v)
	} else {
		h.heap[h.size] = v
	}

	for i := h.size; i > 1; {
		parent := i / 2
		if h.isHigh(h.heap[parent], h.heap[i]) {
			break
		}
		h.heap[i], h.heap[parent] = h.heap[parent], h.heap[i]
		i = parent
	}
}

func (h *Heap) extractMax() Path {
	if h.size <= 0 {
		panic("cannot extract from empty heap")
	}

	max := h.heap[1]
	h.heap[1] = h.heap[h.size]
	h.size -= 1
	h.maxHeapify(1)

	return max
}

func (h *Heap) maxHeapify(idx int) {
	left := idx * 2
	right := left + 1
	largest := idx

	if left <= h.size {
		if h.isHigh(h.heap[left], h.heap[idx]) {
			largest = left
		}
		if right <= h.size && h.isHigh(h.heap[right], h.heap[largest]) {
			largest = right
		}
	}

	if largest != idx {
		h.heap[idx], h.heap[largest] = h.heap[largest], h.heap[idx]
		h.maxHeapify(largest)
	}
}

C++: #include<iostream>
#include<algorithm>
#include<queue>
#include<cassert>
using namespace std;
static const int MAX = 10000;
static const int INFTY = (1<<20);

main(){
  int n, k, u, v, c;
  int sum = 0;
  vector<pair<int, int> > adj[MAX];
  cin >> n;
  for ( int i = 0; i < n; i++ ){
    cin >> u >> k;
    sum += k;

    for ( int j = 0; j < k; j++ ){
      cin >> v >> c;
      adj[u].push_back(make_pair(v, c));
    }
  }


  priority_queue<pair<int, int> > PQ;
  int vis[MAX];
  int d[MAX];
  for ( int i = 0; i < n; i++ ){
    d[i] = INFTY;
    vis[i] = false;
  }

  d[0] = 0;
  PQ.push(make_pair(0, 0));
  pair<int, int> f;

  while(!PQ.empty()){
    f = PQ.top(); PQ.pop();
    u = f.second;
    c = (-1)*f.first;

    vis[u] = true;

    for ( int j = 0; j < adj[u].size(); j++ ){
      v = adj[u][j].first;
      if ( vis[v] ) 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));
      }
    }
  }


  for ( int i = 0; i < n; i++ ){
    cout << i << " " << (d[i]==INFTY?-1:d[i]) << endl;
  }

  cout << "sum = " << sum << endl;
}

C++: //
//  main.cpp
//
//
//  Created by ???????????? on 2017/10/23.
//  Copyright ?? 2017 ????????????. All rights reserved.
//

#include <iostream>
#include <stdio.h>
#include <queue>
#include <algorithm>


#define n_max 100
#define WHITE 0
#define GRAY 1
#define BLACK 2
#define INFTY (1<<20)

using namespace std;

int n, M[n_max][n_max], color[n_max], d[n_max], p[n_max];

void init(){
    int i, j, id, num, node;
    scanf("%d", &n);
    for(i = 0; i < n; i++){
        for(j = 0; j < n; j++){
            M[i][j] = INFTY;
        }
    }
    
    
    for(i = 0; i < n; i++){
        scanf("%d %d", &id, &num);
        for(j = 0; j < num; j++){
            scanf("%d", &node);
            scanf("%d", &M[id][node]);
        }
        color[i] = WHITE;
        d[i] = INFTY;
    }
}


int main(int argc, const char * argv[]) {
    init();
    //    std::cout << "Hello, World!\n";
    return 0;
}

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 GRRAY = 1;
static const int BLACK = 2;

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

void dijkstra(){
  priority_queue<pair<int,int> >PQ;
  int u,minv,i,v,j;
  int d[MAX],color[MAX];

  for(i=0;i<n;i++){
    d[i]=INFTY;
    color[i]=WHITE;
  }

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

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

    if(d[u]<f.first * (-1)) continue;

    for(j=0;j<adj[u].size();j++){
      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]=GRRAY;
      }
    }
  }
  
  for(i=0;i<n;i++){
      cout << i << " " << (d[i] == INFTY ? -1 : d[i]) << endl;
 }
}


int main(){
  int i,j;

  cin >> n;

 int k,c,u,v;
 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));
   }  
     }
 dijkstra();
 
 return 0;
}

C++: #include <iostream>
#include <stdio.h>
#include <cstring>
#include <math.h>
#include <algorithm>
#include <vector>
#include <string>
#include <stdlib.h>
#include <queue>
#include <stack>
#include <utility>
#define rep(i,n) for(int i=0;i<n;i++)
#define rrep(i,n) for(int i=n-1;i>=0;i--)
#define FOR(i,a,b) for(int i=a;i<b;i++)
#define ll long long
#define INF 1000000001
#define mod 1000000007
using namespace std;

int main(){
	
	int n,aaa;
	cin>>n;
	vector<vector<int>> v(n),c(n);
	vector<int> k(n),ans(n);
	rep(i,n){
		cin>>aaa>>k[i];
		v[i].resize(k[i]);
		c[i].resize(k[i]);
		rep(j,k[i]){
			cin>>v[i][j]>>c[i][j];
		}
		ans[i]=-1;
	}
	ans[0]=0;
	int m=INF,mi,mj;
	rep(aaaa,n-1){
		m=INF;
		rep(i,n){
			if(ans[i]!=-1){
				rep(j,k[i]){
					if(ans[v[i][j]]==-1 && m>ans[i]+c[i][j]){
						m=ans[i]+c[i][j];
						mi=i;
						mj=j;
					}
				}
			}
		}
		ans[v[mi][mj]]=m;
	}
	rep(i,n){
		cout<<i<<" "<<ans[i]<<endl;
	}
	
}

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 D(){
  int i, j;
  priority_queue<pair<int, int> > PQ;
  int color[MAX];
  int d[MAX];
  for(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(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;
      }
    } // end for    
  } // end while 

  for(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) );
    }
  }
  D();   

  return 0;
}