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<cstdlib>
#include<cstdio>
#define N 100001
#define INF 1000000009
using namespace std;

struct Heap{
  int key,cost;
};

struct node{
  int key,cost;
  node *prev,*next;
};

node *nil[N];
int n,d[N];
Heap A[N];

void init(){
  for(int i=0;i<n;i++){
  nil[i] = (node *)malloc(sizeof(node));
  nil[i]->next =nil[i];
  nil[i]->prev=nil[i];
  }
}

void insert(int i,int key,int cost){
  node *x= (node *)malloc(sizeof(node));
  x->key = key,x->cost=cost;
  x->next = nil[i]->next;
  nil[i]->next->prev = x;
  nil[i]->next = x;
  x->prev = nil[i];
}

int size;
void increase(int i,int key,int cost){
  Heap tmp;
  A[i].key=key,A[i].cost=cost;
  while(i>1 && A[i/2].cost > A[i].cost)tmp=A[i],A[i]=A[i/2],A[i/2]=tmp,i=i/2;
}

void insert(int key,int cost){
  size++,A[size].key=INF,A[size].cost=INF;
  increase(size,key,cost);
  }

void minHeapify(int i){
  int l,r,min;
  Heap tmp;
 l=i*2;
  r=i*2+1;
  if(l<=size && A[l].cost<A[i].cost)min=l;
  else min=i;
  if(r<=size && A[r].cost<A[min].cost)min=r;
  if(min!=i){tmp=A[i],A[i]=A[min],A[min]=tmp; minHeapify(min);}
}


Heap extractMin(){
  Heap min;
  min=A[1],A[1]=A[size],size--,minHeapify(1);
  return min;
}

void dijkstra(int s){
  Heap u;
  int used[N];
  for(int i=0;i<n;i++) used[i]=0,d[i]=INF;
  d[s]=0;
  while(size>=1){
    u=extractMin();
    used[u.key]=2;
    if(d[u.key] <u.cost)continue;
    node *v=nil[u.key]->next;
    while(v!=nil[u.key]){
      if(used[v->key]!=2)
	if(d[u.key]+v->cost<d[v->key])
	  d[v->key]=d[u.key]+v->cost,used[v->key]=1,insert(v->key,d[v->key]);
      v=v->next;
    }
  }
}

int main(){
  cin>>n;
  init();
  int u,k,v,c;
  size=n;
  for(int i=0;i<n;i++){
    cin>>u>>k;
    for(int j=0;j<k;j++){
      cin>>v>>c;
      insert(u,v,c);
    }
  }
   dijkstra(0);
  for(int i=0;i<n;i++)cout<<i<<" "<<d[i]<<endl;
  
  return 0;
}

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

const int MAX=105;
int state[MAX],N,D[MAX];
vector<pair<int,int>> S[MAX];
priority_queue<pair<int,int>> Q;

void dijkstra(){
    int cnt=1;
    for(int i=0;i<N;i++){
        state[i]=0;
        D[i]=10000000;
    }
    state[0]=1;
    D[0]=0;
    for(int i=0;i<S[0].size();i++){
        Q.push(make_pair(-S[0][i].second,S[0][i].first));
        D[S[0][i].first]=min(D[S[0][i].first],D[0]+S[0][i].second);
    }
    while(1){
        int a=Q.top().second;
            if(state[a]==0){
            Q.pop();
            state[a]=1;
            for(int i=0;i<S[a].size();i++){
                if(state[S[a][i].first]==0){
                    Q.push(make_pair(-(D[a]+S[a][i].second),S[a][i].first));
                    D[S[a][i].first]=min(D[S[a][i].first],D[a]+S[a][i].second);
                }
            }
                cnt++;
        }
        else Q.pop();
        if(cnt==N) break;
    }
    return;
}


int main(){

    cin>>N;
    for(int i=0;i<N;i++){
        int l,a;cin>>l>>a;
        for(int j=0;j<a;j++){
            int b,c;cin>>b>>c;
            S[i].push_back(make_pair(b,c));
        }
    }
    dijkstra();
    for(int i=0;i<N;i++){
        cout<<i<<" "<<D[i]<<endl;
    }
}

C++: #include <bits/stdc++.h>

using namespace std;

typedef long long int ll;
typedef pair<ll, ll> pll;

#define FOR(i, n, m) for(ll (i)=(m);(i)<(n);++(i))
#define REP(i, n) FOR(i,n,0)
#define OF64 std::setprecision(10)

const ll MOD = 1000000007;
const ll INF = (ll) 1e15;

struct Vertex {
    vector<pll> node;
};

Vertex V[10005];
ll C[10005];

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    ll N;
    cin >> N;
    REP(i, N) {
        ll n, k;
        cin >> n >> k;
        REP(_, k) {
            ll v, c;
            cin >> v >> c;
            V[n].node.push_back(pll(v, c));
        }
    }
    REP(i, N) {
        C[i] = INF;
    }
    priority_queue<pll, vector<pll>, function<bool(pll, pll)>> q([](pll a, pll b) { return a.second > b.second; });
    q.push(pll(0, 0));
    C[0] = 0;
    while (!q.empty()) {
        pll t = q.top();
        q.pop();
        if (C[t.first] < t.second)
            continue;
        for (auto &n : V[t.first].node) {
            ll nxt = n.first;
            ll cost = n.second + t.second;
            if (C[nxt] <= cost)
                continue;
            C[nxt] = cost;
            q.push(pll(nxt, cost));
        }
    }

    REP(i, N) {
        cout << i << " " << C[i] << endl;
    }
    return 0;
}