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;
static const int MAX = 10000;
static const int INFTY = (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() {
	priority_queue<pair<int, int> > PQ;
	vector<int> color(MAX,WHITE);
	vector<int> d(MAX,INFTY);
	
	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.first;

		color[u] = BLACK;

		if (d[u] < f.second*(-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(v, d[v] * (-1)));
				color[v] = GRAY;
			}
		}
	}

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

int main() {
	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));
		}
	}

	dijkstra();

	return 0;
}

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

using namespace std;
typedef pair<int, int> P;

struct edge {
    int t, c;
    edge(int t, int c): t(t), c(c) {}
};

const int INF = 1e9;
int n, u, k, v, c;
vector<edge> G[10000];
int d[10000];

void dijkstra(int s) {
    fill(d, d + n, INF);
    d[s] = 0;

    priority_queue<P, vector<P>, greater<P> > que;
    que.push(P(0, s));
    while (!que.empty()) {
        P p = que.top(); que.pop();
        int v = p.second;
        if (d[v] < p.first) continue;
        for (int i = 0; i < G[v].size(); i++) {
            edge e = G[v][i];
            if (d[e.t] <= d[v] + e.c) continue;
            d[e.t] = d[v] + e.c;
            que.push(P(d[e.t], e.t));
        }
    }
}

int main(void) {
    cin >> n;
    for (int i = 0; i < n; i++) {
        cin >> u >> k;
        for (int j = 0; j < k; j++) {
            cin >> v >> c;
            G[u].push_back(edge(v, c));
        }
    }

    dijkstra(0);

    for (int i = 0; i < n; i++)
        cout << i << " " << d[i] << endl;

    return 0;
}

C++: #include<bits/stdc++.h>
#define range(i,a,b) for(int i = (a); i < (b); i++)
#define rep(i,b) for(int i = 0; i < (b); i++)
#define all(a) (a).begin(), (a).end()
#define show(x)  cerr << #x << " = " << (x) << endl;
const int INF = 1e9;
using namespace std;

struct Edge{
	int to;
	int cost;
	Edge(int to, int cost) : to(to), cost(cost) {}
};

struct Node{
	int dis;
	bool used;
	Node() : dis(INF), used(false) { }
	Node(int d, bool f) : dis(d), used(f) { }
};

typedef vector<vector<Edge>> graph;

int dijkstra(graph g, int s, int n){
	vector<Node> node(n);
	priority_queue<int, vector<pair<int, int>>, greater<pair<int, int>>> q;

	q.push(make_pair(0, s));
	node[s] = Node{0, true};

	while(not q.empty()){
		int dis, pos;
		tie(dis, pos) = q.top(); q.pop();
		node[pos].used = true;

		for(auto e : g[pos]){
			if(node[e.to].used == true) continue;
			if(node[e.to].dis > dis + e.cost){
				node[e.to].dis = dis + e.cost;
				q.emplace(node[e.to].dis, e.to);
			}
		}
	}
	rep(i,n){
		cout << i << ' ' << node[i].dis << endl;;
	}
	return node[0].dis;
}

int main(){
	int n;
	cin >> n;

	vector<vector<Edge>> a(n);
	rep(i,n){
		int from;
		int m;
		cin >> from >> m;
		rep(j,m){
			int to, cost;
			cin >> to >> cost;
			a[from].emplace_back(to, cost);
		}
	}
	dijkstra(a, 0, n);
}

C++: #include<iomanip>
#include<limits>
#include<thread>
#include<utility>
#include<iostream>
#include<string>
#include<algorithm>
#include<set>
#include<map>
#include<vector>
#include<stack>
#include<queue>
#include<cmath>
#include<numeric>
#include<cassert>
#include<random>
#include<chrono>
#include<unordered_set>
#include<unordered_map>
#include<fstream>
#include<list>
#include<functional>
#include<bitset>
#include<complex>
#include<tuple>
using namespace std;
typedef unsigned long long int ull;
typedef long long int ll;
typedef pair<ll,ll> pll;
typedef pair<int,int> pi;
typedef pair<double,double> pd;
typedef pair<double,ll> pdl;
#define F first
#define S second
const ll E=1e18+7;
const ll MOD=1000000007;





int main(){
    ll n;
    cin>>n;
    vector<vector<pll>> edge(n);
    for(int i=0;i<n;i++){
        ll u,k;
        cin>>u>>k;
        for(int t=0;t<k;t++){
            ll v,c;
            cin>>v>>c;
            edge[u].push_back({v,c});
        }
    }
    vector<ll> dp(n,E);
    priority_queue<pll,vector<pll>,greater<pll>> Q;
    Q.push({0,0});
    dp[0]=0;
    while(!Q.empty()){
        pll w=Q.top(); Q.pop();
        if(dp[w.S]!=w.F){continue;}
        for(auto &I:edge[w.S]){
            if(dp[I.F]>dp[w.S]+I.S){
                dp[I.F]=dp[w.S]+I.S;
                Q.push({dp[I.F],I.F});
            }
        }
    }
    for(int i=0;i<n;i++){
        cout<<i<<" "<<dp[i]<<endl;
    }
    
    
    return 0;
}