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>

using namespace std;

#define N 10000

#define WHITE 0
#define GRAY 1
#define BLACK 2

static const int INFTY = (1<<20);
int n;

vector<pair<int,int> >adj[N];

void dijkstra(void);

int main(void){
  int i,j,k;
  int u, v, c;

  cin >> n;
  
  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;
}




void dijkstra(void){
  priority_queue<pair<int,int> >PQ;
  int i,j;
  int u,v;
  int d[N],color[N];
  
  for(i = 0;i < n;i++){
    color[i] = WHITE;
    d[i] = INFTY;
  }

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

  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){
	color[v] = GRAY;
	d[v] = d[u] + adj[u][j].second;
	PQ.push(make_pair(d[v]*(-1),v));
	
      }
    }
    
  }

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

C++: #include<bits/stdc++.h>
#define ll long long
#define rep(i, n) for(int i=0; i<n; i++)
#define REP(i, n) for(int i=0; i<=n; i++)
#define repr(i, n) for(int i=n; i>0; i--)
#define REPR(i, n) for(int i=n; i>=0; i--)
const ll INF = 1LL<<60;
const int INT_INF = 1e9;
const ll MOD = 1e9+7;
template<class T> void puts(T x) { std::cout << x << std::endl; }
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }
using namespace std;

struct Node {
    int pos;
    int sum_cost;

    Node(int p, int c) {
        pos = p;
        sum_cost = c;
    }

    bool operator >(const Node &other) const {
        return sum_cost > other.sum_cost;
    }
};

struct Edge {
    int to_node;
    int cost;

    Edge(int n, int c) {
        to_node = n;
        cost = c;
    }
};

vector<vector<Edge>> adj; // 隣接行列
priority_queue<Node, vector<Node>, greater<Node>> pq; // ヒープ
int dist[10100];

int main() {
    int n; cin >> n;
    adj.resize(n);
    rep(i, n) {
        int u, k; cin >> u >> k;
        rep(j, k) {
            int v, c; cin >> v >> c;
            adj[u].emplace_back(Edge(v, c));
        }
    }

    // 初期化
    rep(i, n) {
        dist[i] = (i == 0) ? 0 : INT_INF;
        pq.push(Node(i, dist[i]));
    }

    while (!pq.empty()) {
        Node popped = pq.top();
        pq.pop();

        for (auto &edge: adj[popped.pos]) {
            Node next(edge.to_node, popped.sum_cost + edge.cost);
            if (next.sum_cost < dist[edge.to_node]) {
                pq.push(next);
                dist[edge.to_node] = next.sum_cost;
            }
        }
    }

    rep(i, n) {
        cout << i << ' ' << dist[i] << endl;
    }
}

C++: #include <iostream>
#include <algorithm>
#include <queue>
using namespace std;
static const int M = 10000;

int n;
vector<pair<int,int> > a[M];

void dijkstra(void);

int main(){
  int x,y,z,w,i,j;

  cin >> n;
  for(i = 0;i < n;i++){
    cin >> x >> y;
    for(j = 0;j < y;j++){
      cin >> z >> w;
      a[x].push_back(make_pair(z,w));
    }
  }
  dijkstra();

  return 0;
}

void dijkstra(void){
  priority_queue<pair<int,int> > PQ;
  int color[M],d[M],i,j,x,z;

  for(i = 0;i < n;i++){
    d[i] = 10000000;
    color[i] = 0; //0=white
  }
  d[0] = 0;
  PQ.push(make_pair(0,0));
  color[0] = 1; //1=gray

  while(!PQ.empty()){
    pair<int,int>f = PQ.top(); PQ.pop();
    x = f.second;
    color[x] = 2; //2=black
    if(d[x] < f.first * (-1)) continue;

    for(j = 0;j < a[x].size();j++){
      z = a[x][j].first;
      if(color[z] == 2) continue;
      if(d[z] > d[x] + a[x][j].second){
	d[z] = d[x] + a[x][j].second;
	PQ.push(make_pair(d[z] * (-1),z));
	color[z] = 1;
      }
    }
  }
  for(i = 0;i < n;i++){
    cout << i << " " << (d[i] == 10000000 ? -1 : d[i]) << endl;
  }
}