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 <vector>
#include <queue>
#include <climits>

struct Node {
	int id;
	std::vector<int> edge_to;
	std::vector<int> edge_cost;
	bool done;
	int cost;
};

bool operator>(const Node& u, const Node& v) { return u.cost > v.cost; }
bool operator<(const Node& u, const Node& v) { return u.cost < v.cost; }
bool operator>=(const Node& u, const Node& v) { return u.cost >= v.cost; }
bool operator<=(const Node& u, const Node& v) { return u.cost <= v.cost; }
bool operator==(const Node& u, const Node& v) { return u.id == v.id; }
bool operator!=(const Node& u, const Node& v) { return u.id != v.id; }

void swap(int& x, int& y)
{
	int tmp = x;
	x = y;
	y = tmp;
}

int min(int x, int y)
{
	return x>y ? y : x;
}

int main()
{
	int n; std::cin >> n;
	
	Node* nodes = new Node[n];
	
	for (int i=0; i<n; i++) {
		nodes[i].done = false;
		nodes[i].cost = INT_MAX;
	}
	
	for (int i=0; i<n; i++) {
		int id, deg;
		std::cin >> id >> deg;
		nodes[i].id = id;
		for (int j=0; j<deg; j++) {
			int t, cost;
			std::cin >> t >> cost;
			nodes[i].edge_to.push_back(t);
			nodes[i].edge_cost.push_back(cost);
		}
	}
	
	std::priority_queue<Node, std::vector<Node>, std::greater<std::vector<Node>::value_type>> que;
	que.push(nodes[0]);
	nodes[0].cost = 0;
	
	while (!que.empty()) {
		Node v = que.top(); que.pop();
		int s = v.id;
		// std::cout << s << " " << nodes[s].cost << std::endl;
		nodes[s].done = true;
		for (int k=0; k<nodes[s].edge_to.size(); k++) {
			int t = nodes[s].edge_to[k];
			int cost = nodes[s].edge_cost[k];
			if (nodes[t].done) continue;
			if ( nodes[t].cost > nodes[s].cost + cost) {
				nodes[t].cost = nodes[s].cost + cost;
				que.push(nodes[t]);
			}
		}
	}
	
	for (int i=0; i<n; i++) {
		std::cout << nodes[i].id << " " << nodes[i].cost << std::endl;
	}
	
	delete[] nodes;
	
	return 0;
}

C++: #include<iostream>
#include<vector>
#include<queue>
#include<utility>
#include<climits>
#include<algorithm>
using namespace std;
typedef int Cost;
typedef int Node;

void dijkstra(int start,   vector<vector< pair<Node,Cost> > > m){
  vector<Cost> costs(m.size());
  bool visited[m.size()];

  fill(costs.begin(),costs.end(),INT_MAX);
  fill(visited,visited+m.size(),false);
  
  priority_queue<pair<Cost,Node> ,vector<pair<Cost,Node> >, greater<pair<Cost,Node> > > q;
  q.push(make_pair(0,start));
  while(!q.empty()){
    Cost c = q.top().first;
    Node n = q.top().second;
    q.pop();
    if(!visited[n]){
      costs[n] = c;
      for(auto &x:m[n]){
        int node = x.first;
        int cost = x.second;
        q.push(make_pair(cost+c,node));
      }
      visited[n] = true;
    }
  }
  for(int i = 0;i < costs.size();i++){
    cout << i << ' ' << costs[i] << endl;
  }
}

int main(){
  int n;
  cin >> n;
  vector<vector< pair<Node,Cost> > > m(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;
      m[u].push_back(make_pair(v,c));
    }
  }
  dijkstra(0,m);
}

C++: #include<iostream>
#include<algorithm>
#include<queue>
using namespace std;
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(){
	int color[n];
	int d[n];
	for(int i=0;i<n;i++){
		color[i]=WHITE;
		d[i]=INF;
	}

	d[0]=0;
	priority_queue<pair<int,int> > pq;
	pq.push(make_pair(0,0));
	
	while(!pq.empty()){
		pair<int,int> f=pq.top();pq.pop();
		int u=f.second;
		color[u]=BLACK;
		
		int size=adj[u].size();
		for(int j=0;j<size;j++){
			int v=adj[u][j].first;
			if(color[v]==BLACK) continue;
			int w=adj[u][j].second;
			if(d[v]>d[u]+w){
				d[v]=d[u]+w;
				pq.push(make_pair(d[v]*-1,v));
			}
		}
	}

	for(int i=0;i<n;i++){
		cout << i << " ";
		cout << (d[i]==INF?-1:d[i]) << 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;
			pair<int,int> p;
			p=make_pair(v,c);
			adj[u].push_back(p);
		}
	}
	dijkstra();
    return 0;
}