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 <bits/stdc++.h>
#define rep(i,n) for(int i = 0; i < (int)(n); i++)
#define rrep(ri,n) for(int ri = (int)(n-1); ri >= 0; ri--)
#define rep2(i,x,n) for(int i = (int)(x); i < (int)(n); i++)
#define repit(itr,x) for(auto itr = x.begin(); itr != x.end(); itr++)
#define rrepit(ritr,x) for(auto ritr = x.rbegin(); ritr != x.rend(); ritr++)
#define ALL(n) begin(n), end(n)
using ll = long long;
using namespace std;

const int INF = 1001001001;

int main(){
  int n;
  cin >> n;
  vector<vector<pair<int, int>>> gr(n, vector<pair<int, int>>());
  rep(i, n){
    int a;
    cin >> a;
    int k;
    cin >> k;
    rep(j, k){
      int v, c;
      cin >> v >> c;
      gr.at(i).push_back(make_pair(v, c));
    }
  }
  vector<bool> chk(n, false);
  vector<int> d(n, INF);
  priority_queue<pair<int, int>> q;
  q.push(make_pair(0, 0));
  int co = 0;
  while(!q.empty()){
    auto now = q.top(); q.pop();
    if(chk.at(now.second) == true) continue;
    d.at(now.second) = -1 * now.first;
    chk.at(now.second) = true;
    co++;
    if(co == n) break;

    for(auto p : gr.at(now.second)){
      if(chk.at(p.first) == true) continue;
      q.push(make_pair(now.first-p.second, p.first));
    }
  }

  rep(i, n){
    cout << i << " " << d.at(i) << endl;
  }
  return 0;
}

C++: #include<iostream>
#include<climits>
using namespace std;

typedef struct{
  int A[10010];
  int ans;
}node;
node T[10010];
int Q[1000003];
int head=0;
int tail=1;
int n;

void function(int num){
  while(true){
    if(head==tail)break;
    num=Q[head++];
        if(head==999999)head=1;
    for(int i=0;i<n;i++){
      if(T[num].A[i]!=-1){
	if(T[i].ans>T[num].ans+T[num].A[i]){
	  T[i].ans=T[num].ans+T[num].A[i];
	  Q[tail++]=i;
	  	  if(tail==999999)tail=1;
	}
      }
    }
  }
}

int main(){
  int num,son,z,w;
  cin>>n;
  for(int i=0;i<n;i++){
    for(int j=0;j<n;j++){
      T[i].A[j]=-1;
    }
  }


  for(int i=0;i<n;i++){
    cin>>num>>son;
    T[num].ans=INT_MAX;
    for(int j=0;j<son;j++){
      cin>>z>>w;
      T[num].A[z]=w;
      }
  }
  Q[0]=0;
  T[0].ans=0;
  function(0);
 
  for(int i=0;i<n;i++){
      cout<<i<<" "<<T[i].ans<<endl;
  }
  return 0;
}

C++: #include<iostream>
#include<vector>
#include<queue>
#include<algorithm>
using namespace std;

#define INF 2000000000

struct edge{ int to, cost;};
struct P{ int d, to;};

int n;
int sz = 0; //heap size
P heap[20000];
vector<edge> G[10000]; //adjacency list
int d[10000];

//minimum heap
void push(P x){
  
  int i = sz++;
  
  while(i > 0){
    int p = (i - 1) / 2;
    
    if(heap[p].d <= x.d) break;
    
    heap[i] = heap[p];
    i = p;
  }
  
  heap[i] = x;
}

P pop(){
  
  P ret = heap[0];
  P x = heap[--sz];
  
  int i = 0;
  while(i * 2 + 1 < sz){
    
    int a = i * 2 + 1, b = i * 2 + 2;
    if(b < sz && heap[b].d < heap[a].d) a = b;
    
    if(heap[a].d >= x.d) break;
    
    heap[i] = heap[a];
    i = a;
  }
  
  heap[i] = x;
  
  return ret;
}

void dijkstra(int s){

  //initialization
  for(int i = 0;i < n;i++) d[i] = INF;
  d[s] = 0;
  push((P){0, s});
  
  while(sz){
    P p = pop();
    int v = p.to;
    
    if(d[v] < p.d) continue;
    for(int i = 0;i < (int)G[v].size();i++){
      edge e = G[v][i];
      if(d[e.to] > d[v] + e.cost){
        d[e.to] = d[v] + e.cost;
        push((P){d[e.to], e.to});
      }
    }
  }
}

int main(){
  
  int u, k;
  edge e;

  //input
  cin >> n;
  for(int i = 0;i < n;i++){
    cin >> u >> k;
    for(int j = 0;j < k;j++){
      cin >> e.to >> e.cost;
      G[u].push_back(e);
    }
  }
  
  dijkstra(0);

  //output
  for(int i = 0;i < n;i++) cout << i << " " << d[i] << endl;
  
  return 0;
}

C++: #include <stdio.h>
#include <iostream>
#include <vector>
#include <tuple>
#include <queue>
using namespace std;

#define NUM 100
#define NIL -1
#define INF 1000000000
#define WHITE 0
#define BLACK 1
int node_num;
vector<tuple<int, int>> G[NUM];
priority_queue<tuple<int, int>> PQ;
int V[NUM];
int color[NUM];

void init(void){
    scanf("%d", &node_num);

    for(int i = 0; i < node_num; i++){
        int u, k;
        scanf("%d", &u);
        scanf("%d", &k);

        for(int j = 0; j < k; j++){
            int v_, c;
            scanf("%d", &v_);
            scanf("%d", &c);
            G[u].push_back(make_tuple(v_, c));
        }
    }

    for(int i = 0; i < node_num; i++){
        color[i] = WHITE;
        V[i] = INF;
    }
}

void updateAround(int n){
    color[n] = BLACK;
    for(int i = 0; i < G[n].size(); i++){
        int old_dist = V[get<0>(G[n][i])];
        int new_dist = V[n] + get<1>(G[n][i]);
        if (new_dist < old_dist){
            V[get<0>(G[n][i])] = min(new_dist, old_dist);
            PQ.push(make_tuple(V[get<0>(G[n][i])], get<0>(G[n][i])));
        }
    }

    int min_index = NIL;
    int min_value = INF;
    while(!PQ.empty()){
        tuple<int, int> f = PQ.top(); PQ.pop();
        if(color[get<1>(f)] == BLACK){
            continue;
        }
        min_value = get<0>(f);
        min_index = get<1>(f);
    }

    if(min_index != NIL){
        updateAround(min_index);
    }
}

int main(void){
    init();

    V[0] = 0;
    updateAround(0);

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