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>
using namespace std;
#include<queue>
#include<vector>
#include<string>
#include<string.h>
#include<algorithm>
bool b[2003];

#define REP(i, a) for(int i=0;i<a;i++)
	int N=(1<<20);
	int max=101;
		vector < pair<int,int> > A[100000];
int main()
{
	pair<int,int> f;
	priority_queue < pair < int,int > > PQ;
	int min,b,a,k,m,n ,e,p[101],d[100000],u,v; //u ?????????v????????¨
	bool color[10001];

	cin>>n;
	REP(i, n) {
		cin>>u>>k;
		REP(i, k) {
			cin>>a>>b;
			if(b==-1) b=N;
			A[u].push_back(make_pair(a,b));
		}
		color[i]=0;
		d[i]=N;
	}
	a=0;
	d[0]=0;
	PQ.push(make_pair(0,0));
	while(!PQ.empty()){
		f=PQ.top();
		PQ.pop();
		u=f.second;
		color[u]=1;
		REP(i,A[u].size()){
			v=A[u][i].first;
			if(color[v]==1){
			continue;
			}
				if(d[v]>A[u][i].second+d[u]){
					d[v]=A[u][i].second+d[u];
					PQ.push(make_pair(d[v]*-1,v));
				}
		}
	}
	REP(i,n){
		cout<<i<<" "<<(d[i] == N ? -1 : d[i])<<endl;
	
	}
	return 0;
}

C++: #include<iostream>
#include<algorithm>
#include<queue>
#include<vector>

#define INF (1 << 20)
#define MAX 10001
#define WHITE 0
#define BLACK 2
#define GRAY 1

using namespace std;

int n, dist[MAX], color[MAX];
vector<pair<int, int>> arrows[MAX];

void dijkstra(void);

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

	cin >> n;
	

	for (i = 0; i < n; i++) {
		cin >> u >> k;
		for (j = 0; j < k; j++) {
			cin >> v >> c;
			arrows[u].push_back(make_pair(v, c));
		}
	}

	dijkstra();

	for (i = 0; i < n; i++) {
		cout << i << " " << dist[i] << endl;
	}


	return 0;
}

void dijkstra(void) {
	int i;
	pair<int, int> u;
	priority_queue<pair<int, int>> grays;
	vector<pair<int, int>>::iterator itv;
	
	dist[0] = 0;
	for (i = 1; i < n; i++) {
		dist[i] = INF;
		color[i] = WHITE;
	}

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

	while (!grays.empty()) {
		u =  grays.top();
		u.first *= -1;
		grays.pop();
		color[u.second] = BLACK;

		for (itv = arrows[u.second].begin(); itv != arrows[u.second].end(); itv++) {
			if (color[itv->first] == BLACK)continue;
			if (dist[u.second] + itv->second < dist[itv->first]) {
				dist[itv->first] = dist[u.second] + itv->second;
				color[itv->first] = GRAY;
				grays.push(make_pair(((-1) * dist[itv->first]), itv->first));
			}
		}
	}

}

C++: #include <iostream>
#include <map>
#include <set>
#include <list>
#include <cmath>
#include <queue>
#include <stack>
#include <cstdio>
#include <string>
#include <vector>
#include <complex>
#include <cstdlib>
#include <cstring>
#include <numeric>
#include <sstream>
#include <algorithm>
#include <functional>
#include <limits.h>
#include <bitset>

#include <tuple>
#include <unordered_map>

#define mp       make_pair
#define mt       make_tuple
#define pb       push_back
#define rep(i,n) for(int i=0;i<(n);i++)

using namespace std;

typedef    long long          ll;
typedef    unsigned long long ull;
typedef    pair<int,int>      pii;

const int INF=1<<29;
const double EPS=1e-9;

const int dx[]={1,0,-1,0},dy[]={0,-1,0,1};

const int MAX_N = 101000;//MAX???????????°
struct edge{
	int tar;//????????°
	int ecost;//???????????????
	edge(){}
	edge(int _tar, int _ecost){
		tar = _tar;
		ecost = _ecost;
	}
};
struct State{
	int pos;//?????¨??°
	int cost;//??????????????????pos?????§????????????
	State(){}
	State(int _pos, int _cost){
		pos = _pos;
		cost = _cost;
	}
	//cost?????§????????????????°?????????¨??????priority_queue???default???????????????
	bool operator < (const State &st) const {
		return cost > st.cost;
	}
};
vector<edge> edges[MAX_N];//??£??\?????????
int dist[MAX_N];//?§????s????????????dist[v]?????§??????????????????
void dijkstra(int s){
	priority_queue<State> que;
	fill(dist, dist + MAX_N, INF);
	dist[s] = 0;
	que.push(State(s, 0));
	while (!que.empty()){
		State p = que.top();
		que.pop();
		if (dist[p.pos] < p.cost)continue;
		for (int i = 0; i < edges[p.pos].size(); i++){
			edge e = edges[p.pos][i];
			if (dist[e.tar] > dist[p.pos] + e.ecost){
				dist[e.tar] = dist[p.pos] + e.ecost;
				que.push(State(e.tar, dist[e.tar]));
			}
		}
	}
	return ;
}
int N;
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;
			edges[u].push_back(edge(v, c));
			// edges[v].push_back(edge(u, c));
		}
	}
	dijkstra(0);
	for (int i = 0; i < N; i++){
		cout << i << " " << dist[i] << endl;
	}
	return 0;
}