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<bits/stdc++.h>
using namespace std;

#define rep(i, n) for(int (i) = 0; (i) < (n); (i)++)
#define repp(i, n, m) for(int (i) = (n); (i) < (m); (i)++)
#define repn(i, n) for(int (i) = 1; (i) <= (n); (i)++)
#define repr(i, n) for(int (i) = (n-1); (i) >= 0; (i)--)
#define all(x) (x).begin(), (x).end()
#define lint long long
#define ulint unsigned long long
#define ldou long double
#define fi first
#define se second
#define setpre(x) std::cout << fixed << setprecision(x)
#define ii(x) int x; cin >> (x)
#define ii2(x, y) int x, y; cin >> (x) >> (y)
#define ii3(x, y, z) int x, y, z; cin >> (x) >> (y) >> (z)
#define out(x) cout << (x) << endl
#define outs(x) cout << (x) << " "
#define yn(x) cout << ((x)?("Yes"):("No")) << endl
#define YN(x) cout << ((x)?("YES"):("NO")) << endl
#define bit_c(x) __builtin_popcountll(x)

inline void logger(){ std::cout << " [LOGGER] " << endl; }
template<typename A, typename... B>
void logger(const A& a, const B&... b){
    cout << a << " , "; logger(b...);
}

typedef pair<lint, lint> P;
const lint MOD = 1000000007;
const lint MOD9 = 998244353;
const lint INF = MOD * MOD;
const int MAX = 200005;

/* ...o(^-^)o... */

struct edge{
    int from, to; lint cost;
    edge(int f, int t, lint c) : from(f), to(t), cost(c) {}
    edge(int t, lint c) : from(-1), to(t), cost(c) {}
};

struct dijkstra{
    vector<vector<edge> > G;
    vector<lint> d;
    int V, s;
    dijkstra(vector<vector<edge> > _G, int _s) : G(_G), s(_s){
        init();
    }
    void init(){
        V = G.size();
        d = vector<lint>(V, INF);
        priority_queue<P, vector<P>, greater<P> > que; que.push(P(0, s));
        d[s] = 0;
        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.to] > d[v] + e.cost){
                    d[e.to] = d[v] + e.cost;
                    que.push(P(d[e.to], e.to));
                }
            }
        }
    }
    int dist(int t){
        return d[t];
    }
};

int main(){
    int n; cin>>n;
    vector<vector<edge>> G(n);
    rep(i,n){
        int u,k; cin>>u>>k;
        rep(j,k){
            lint v,c; cin>>v>>c;
            G[u].push_back(edge(u,v,c));
        }
    }

    dijkstra dij(G, 0);
    rep(v, n){
        outs(v); out(dij.dist(v));
    }
}

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;
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] = GARY;

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] = GARY;
}
}
}

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 <iostream>
#include <cstdio>
#include <string>
#include <list>
#include <stack>
#include <queue>
#include <algorithm>
#include <utility>
#include <vector>
#include <map>
#include <bitset>

using namespace std;

int main()
{
	int N;
	cin>>N;
	
	vector<vector<int> > cost(N,vector<int>(N,10000001));
	cost[0][0]=0;
	pair<int,int> ddata;
	for(int i=0;i<N;i++){
		int u,k;
		cin>>u>>k;
		for(int j=0;j<k;j++){
			cin>>ddata.first>>ddata.second;
			cost[u][ddata.first]=ddata.second;
		}
	}
	//
	
	vector<int> maxcost(N,10000001);
	
	priority_queue<pair<int,int>, vector<pair<int,int> >, greater<pair<int,int> > > que;
	
	que.push(pair<int,int>(0,0));
	
	while(!que.empty()){
		int n=que.top().second;
		if(que.top().first<maxcost[n]){
			maxcost[n]=que.top().first;
		}
		for(int j=1;j<N;j++){
			if(maxcost[n]+cost[n][j]<maxcost[j]){
				maxcost[j]=maxcost[n]+cost[n][j];
				ddata.first=maxcost[n]+cost[n][j];
				ddata.second=j;
				que.push(ddata);
			}
		}
		que.pop();
	}
	
	for(int i=0;i<N;i++){
		cout<<i<<' '<<maxcost[i]<<endl;
	}
	return 0;
}