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

const int NOTV = 0;
const int VIST = 1;
const int NMAX = 10000;
//const int VMAX = 2000;
const int NILL = -1;
const int INF = 1 << 21;
//int a[NMAX][NMAX];  //??£??\??????
int n;
vector<pair<int, int>> adj[NMAX];

void dijkstra() {
	int d[NMAX];
	int vst[NMAX];
	priority_queue<pair<int, int>> pq;
	for (int i = 0; i < n; i++) {
		vst[i] = NOTV;
		d[i] = INF;
	}
	d[0] = 0;
	pq.push(make_pair(d[0], 0));
	while (not pq.empty()) {
		pair<int, int> f = pq.top(); pq.pop();
		int u = f.second;
		vst[u] = VIST;
		if (d[u] < f.first*(-1)) continue;
		for (int i = 0; i < adj[u].size(); i++) {
			int v = adj[u][i].first;
			if (vst[v] == NOTV) {
				if (d[u] + adj[u][i].second < d[v]) {
					d[v] = d[u] + adj[u][i].second;
					pq.push(make_pair(d[v] * (-1), v));
				}
			}
		}
	}
	for (int i = 0; i < n; i++) {
		cout << i << ' ' << d[i] << endl;
	}
}

int main() {
	cin >> n;
	int k, u, v, c;
	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));
		}
	}
	dijkstra();
	return 0;
}

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;

#define MAX 10000
#define INFTY (1 << 20)
#define WHITE 0
#define GRAY 1
#define BLACK 2

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

void solve(void) {
    priority_queue<pair<int, int> > PQ;
    int color[MAX];
    int d[MAX];
    for(int 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(int i = 0; i < adj[u].size(); ++i) {
            int v = adj[u][i].first;
            if(color[v] == BLACK) continue;
            if(d[v] > d[u] + adj[u][i].second) {
                d[v] = d[u] + adj[u][i].second;
                PQ.push(make_pair(d[v] * (-1),v));
                color[v] = GRAY;
            }
        }
    }
    
    for(int i = 0; i < n; ++i) {
        cout << i << ' ' << (d[i] == INFTY ? -1 : d[i]) << endl;
    }
}

int main(void) {
    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));
        }
    }
    
    solve();
    
    return 0;
}

C++: #include <iostream>
#include <cstdio>
#include <climits>
#include <cmath>
#include <algorithm>
#include <utility>
#include <vector>
#include <string>
#include <stack>
#include <queue>
#define MAX 10000
#define INFTY 1<<30 // 2^30
using namespace std;
typedef long long llong;
static const int NIL = -1;
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()
{
  priority_queue<pair<int, int> > PQ;
  int color[MAX];
  int d[MAX];
  for(int i = 0; i < n; i++)
  {
    d[i] = INFTY;
    color[i] = WHITE;
  }
  d[0] = 0;
  PQ.push(make_pair(0,0));
  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(int 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;
      }
    }
  }
  for(int i = 0; i < n; i++)
    cout << i << " " << (d[i] == INFTY ? -1 : d[i]) << endl;
}

int main()
{
  cin >> n;
  int k, c, u, v;
  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));
    }
  }
  dijkstra();
  return 0;
}