Go: package main

import (
	"bufio"
	"container/heap"
	"fmt"
	"os"
)

type Item struct {
	value    int // The value of the item; arbitrary.
	priority int // The priority of the item in the queue.
	// The index is needed by update and is maintained by the heap.Interface methods.
	index int // The index of the item in the heap.
}
type PriorityQueue []*Item

func (pq PriorityQueue) Len() int { return len(pq) }
func (pq PriorityQueue) Less(i, j int) bool {
	return pq[i].priority < pq[j].priority
}
func (pq PriorityQueue) Swap(i, j int) {
	pq[i], pq[j] = pq[j], pq[i]
	pq[i].index = i
	pq[j].index = j
}
func (pq *PriorityQueue) Push(x interface{}) {
	n := len(*pq)
	item := x.(*Item)
	item.index = n
	*pq = append(*pq, item)
}
func (pq *PriorityQueue) Pop() interface{} {
	old := *pq
	n := len(old)
	item := old[n-1]
	item.index = -1 // for safety
	*pq = old[0 : n-1]
	return item
}

type Q struct {
	pq *PriorityQueue
	ds map[int]int // It has always same value as pq. For random access.
}

func newQ() *Q {
	pq := new(PriorityQueue)
	heap.Init(pq)
	return &Q{
		pq: pq,
		ds: make(map[int]int),
	}
}
func (q *Q) pop() (u, d int) {
	item := heap.Pop(q.pq).(*Item)
	delete(q.ds, item.value)
	return item.value, item.priority
}
func (q *Q) get(u int) (int, bool) { // returns d
	d, ok := q.ds[u]
	return d, ok
}
func (q *Q) set(u, d int) {
	q.ds[u] = d
	for _, item := range *q.pq {
		if item.value != u {
			continue
		}

		item.priority = d
		heap.Fix(q.pq, item.index)
		return
	}
	heap.Push(q.pq, &Item{
		priority: d,
		value:    u,
	})
}
func (q *Q) len() int {
	return len(q.ds)
}

func main() {
	r := bufio.NewReader(os.Stdin)

	var n int
	fmt.Fscan(r, &n)
	cs := make([]map[int]int, n) // []v_i -> c_i
	for h := 0; h < n; h++ {
		var u, k int
		fmt.Fscan(r, &u, &k)
		m := make(map[int]int)
		for i := 0; i < k; i++ {
			var v, c int
			fmt.Fscan(r, &v, &c)
			m[v] = c
		}

		cs[u] = m
	}

	q := newQ()
	q.set(0, 0)
	visited := make(map[int]struct{})
	out := make([]int, n)

	for q.len() > 0 {
		u, d := q.pop()
		for uu, c := range cs[u] {
			// Consider the connection between u and uu.
			if _, ok := visited[uu]; ok {
				continue
			}
			dd := d + c
			if d, ok := q.get(uu); !ok || d > dd {
				q.set(uu, dd)
			}
		}

		out[u] = d
		visited[u] = struct{}{}
	}

	for u, d := range out {
		fmt.Println(u, d)
	}
}

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

struct Edge {
  int dst;
  long long cost;
  Edge() {}
  Edge(int x, long long y) : dst(x), cost(y) {}
};

std::vector<long long> dijkstra(int sv, std::vector<std::vector<Edge>> &G) {
  const long long LINF = 1000000000000000018LL;

  int n = (int)G.size();
  std::vector<long long> dist(n, LINF);
  dist[sv] = 0;

  typedef std::pair<long long, int> PLI;
  std::priority_queue<PLI, std::vector<PLI>, std::greater<PLI>> que;

  que.push(std::make_pair(0LL, sv));

  while (!que.empty()) {
    PLI now = que.top();
    que.pop();
    long long cur_d = now.first;
    long long cur_v = now.second;

    if (dist[cur_v] < cur_d) {
      continue;
    }

    for (int i = 0; i < (int)G[cur_v].size(); i++) {
      int next_v = G[cur_v][i].dst;
      long long cost = G[cur_v][i].cost;
      if (dist[cur_v] + cost < dist[next_v]) {
        dist[next_v] = dist[cur_v] + cost;
        que.push(std::make_pair(dist[next_v], next_v));
      }
    }
  }
  return dist;
}

int main() {
  int n;
  std::cin >> n;
  std::vector<std::vector<Edge>> g(n);
  for (int i = 0; i < n; i++) {
    int u;
    std::cin >> u;
    int k;
    std::cin >> k;
    while (k--) {
      int v, c;
      std::cin >> v >> c;
      g[u].push_back(Edge(v, c));
    }
  }

  std::vector<long long> dist = dijkstra(0, g);
  for (int i = 0; i < n; i++) {
    std::cout << i << " " << dist[i] << std::endl;
  }

  return 0;
}

C++: //ALDS1_12_cにて、AC
#include<bits/stdc++.h>
using namespace std;
const int INF = 1 << 30;
int main(){
  int n;
  cin>>n;
  vector<pair<int,int> > adj[10005]; //重み付き有向グラフの隣接リスト表現
  //隣接リストの作成
  int u,k;
  for(int i=0;i<n;i++){
    cin>>u>>k;
    for(int j=0;j<k;j++){
      int v,c;
      cin>>v>>c;
      adj[u].emplace_back(v,c);
    }
  }

  //ここからダイクストラ
  priority_queue<pair<int,int>,vector<pair<int,int> >,greater<pair<int,int> > > pq;
  vector<bool> fg(n+1000);
  vector<int> cost(n+1000);
  //初期化
  for(int i=0;i<n;i++){
    cost[i]=INF;
    fg[i]=false;
  }
  //出発地点はコスト0
  cost[0]=0;
  pq.emplace(0,0);
 
  //最短経路を検出
  while(!pq.empty()){
    auto now=pq.top(); pq.pop();
    int u=now.second;
    fg[u]=true;

    //最小値を取り出し、それが最短でなければ無視
    if(cost[u]<now.first) continue;
    
    //次の辺へ移動
    for(int j=0;j<adj[u].size();j++){
      int v=adj[u][j].first;
      if(fg[v]) continue;
      if(cost[v]>cost[u]+adj[u][j].second){
        cost[v]=cost[u]+adj[u][j].second;
        //priority_queueはデフォルトで大き値を優先するため、-1をかける。
        pq.emplace(cost[v],v);
      }
    }
  }

  for(int i=0;i<n;i++){
    cout<<i<<" "<<(cost[i]==INFINITY ? -1 : cost[i])<<'\n';
  }
  return(0);
}

C++: #include<cstdio>
#include<stdlib.h>
#include<iostream>

using namespace std;

const int maxn = 105;
int M[maxn][maxn];
int d[maxn];
int p[maxn];
bool visit[maxn];

int main(){
	int n;
	int u,k,v,c;
	cin >> n;
	for(int i = 0;i < n;i++){
		visit[i] = false;
		d[i] = 0x3f3f3f;
		for(int j = 0;j < n;j++){
			M[i][j] = -1;
		}
	}
	
	for(int i = 0;i < n;i++){
		cin >> u >> k;
		for(int j = 0;j < k;j++){
			cin >> v >> c;
			M[u][v] = c;
		}
	}
	
	d[0] = 0;
	int result = 0;
	while(true){
		int u;
		int min_distance = 0x3f3f3f;
		for(int i = 0;i < n;i++){
			if(visit[i])continue;
			if(d[i] < min_distance){
				min_distance = d[i];
				u = i;
			}
		}
		if(min_distance == 0x3f3f3f)break;
		visit[u] = true;
		result += min_distance;
		for(int i = 0;i < n;i++){
			if(visit[i])continue;
			if(M[u][i] == -1)continue;
			if(d[u] + M[u][i] < d[i]){
				d[i] = d[u] + M[u][i];
				p[i] = u;
			}
		}
	}
	for(int i = 0;i < n;i++)cout << i << " " << d[i] << endl;
//	cout << result << endl;
	
}

C++: #include <bits/stdc++.h>
#define rep(i, a, b) for(int i = a; i < b; i++)
#define Rep(i, a, b) for(int i = a; i <= b; i++)
#define _GLIBCXX_DEBUG
#define Vl vector<ll>
#define Vs vector<string>
#define Vp vector<pair<ll, ll>>
#define ll long long
#define ALL(v) (v).begin(),(v).end()
using namespace std;
const double pi = acos(-1.0);
const ll MOD = 1e9 + 7;
const ll INF = 1LL << 60;


ll M[110][110]; //edge weight
ll color[110];
ll white = 0, gray = 1, black = 2;
ll n; 

void dijkstra(){
  ll d[110];//d[v] vまでの最短経路
  ll minv;
  rep(i, 0, n){
    color[i] = white;
    d[i] = INF;
  }
  d[0] = 0;
  color[0] = gray;
  while(1){
    minv = INF;
    ll u = -1;
    rep(i, 0, n){
      if(minv > d[i] && color[i] != black){// はじめd[i]=0, u = 0, minv = 0
        u = i;
        minv = d[i];
      }
    }
    if(u == -1) break;
    color[u] = black;// 最も重さが小さいほうへすすむ
    rep(v, 0, n){
      if(color[v] != black && M[u][v] != INF){
        if(d[v] > d[u] + M[u][v]){
          d[v] = d[u] + M[u][v]; //d[v]を更新
          color[v] = gray;
        }
      }
    }
  }
  rep(i, 0, n){
    cout << i << " " << d[i] << endl;
  }
}

int main() {
  cin >> n;
  rep(i, 0, n){//始めに辺の重さをマックスに初期化
    rep(j, 0, n) M[i][j] = INF;
  }

  rep(i, 0, n){
    ll u; cin >> u;
    ll k; cin >> k;
    rep(j, 0, k){
      ll v, c; cin >> v >> c;
      M[u][v] = c;//辺の重さを入力
    }
  }

  dijkstra();

  return 0;
}