Go: package main

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

//make priority queue
type Item struct {
	id       int
	priority int // this state is priority and distans from start
	index    int
}

type PriorityQueue []*Item

func (pq PriorityQueue) Len() int { return len(pq) }

// we want the ascending-priority-queue.
// So we use less than here.
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 = j
	pq[j].index = i
}

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
}

func (pq *PriorityQueue) update(dist int, id int) {
	for _, i := range *pq {
		if i.id == id {
			if i.priority > dist {
				i.priority = dist
			}
		}
	}
}

// the main code
func nextInt(sc *bufio.Scanner) int {
	sc.Scan()
	n, _ := strconv.Atoi(sc.Text())
	return n
}

func dikstra(dist *[][]int, n int) *[]int {
	// preparate priority queue
	inf := 1 << 30
	pq := make(PriorityQueue, n)
	shortests := make([]int, n)
	for i := 0; i < n; i++ {
		pq[i] = &Item{
			id:       i,
			priority: inf,
			index:    i,
		}

		shortests[i] = inf
	}
	pq[0].priority = 0
	shortests[0] = 0
	heap.Init(&pq)

	for pq.Len() > 0 {
		item := heap.Pop(&pq).(*Item)
		shortests[item.id] = item.priority
		for id, d := range (*dist)[item.id] {
			if d != -1 {
				pq.update(item.priority+d, id)
			}
		}
		heap.Init(&pq)
	}
	return &shortests
}

func main() {
	sc := bufio.NewScanner(os.Stdin)
	sc.Split(bufio.ScanWords)

	// init
	n := nextInt(sc)
	dist := make([][]int, n)
	for i := 0; i < n; i++ {
		dist[i] = make([]int, n)
		for j := 0; j < n; j++ {
			dist[i][j] = -1
		}
	}

	// std Input
	for i := 0; i < n; i++ {
		u := nextInt(sc)
		k := nextInt(sc)
		for j := 0; j < k; j++ {
			v, c := nextInt(sc), nextInt(sc)
			dist[u][v] = c
		}
	}

	shortests := dikstra(&dist, n)
	for i, d := range *shortests {
		fmt.Printf("%d %d\n", i, d)
	}
}

C++: #include <vector>
#include <queue>
#include <stdio.h>
#include <iostream>
#include <limits>

using namespace std;

const int MAXN = 10000;
const int INF = numeric_limits<int>::max();

vector< pair<int, int> > G[MAXN];
int dist[MAXN];
int n;

void dijkstra(int start) {
  for (int i = 0; i < n; ++i) dist[i] = INF;

  priority_queue< pair<int, int>, vector< pair<int, int> >, greater< pair<int, int> > > q;
  q.emplace(0, start);
  dist[start] = 0;
  while (!q.empty()) {
    pair<int, int> cur = q.top(); q.pop();
    int v = cur.second;
    int cost = cur.first;
    if (dist[v] < cost) continue;

    for (size_t i = 0; i < G[v].size(); ++i) {
      int u = G[v][i].first;
      int new_cost = G[v][i].second + cost;
      if (dist[u] > new_cost) {
	q.emplace(new_cost, u);
	dist[u] = new_cost;
      }
    }
  }
}
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;
      G[u].emplace_back(v, c);
    }
  }
  dijkstra(0);
  for (int i = 0; i < n; ++i) {
    cout << i << " " << dist[i] << endl;
  }
  return 0;
}

C++: #include<bits/stdc++.h>
using namespace std;
struct edge{
  int to,cost;
};
typedef pair<int,int> P;
int V;
vector<edge> G[100000];
int d[100000];
void dijkstra(int s){
  priority_queue<P ,vector<P>,greater<P> >que;
  fill(d,d+V,1e9+1);
  d[s]=0;
  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.to]>d[v]+e.cost){
        d[e.to]=d[v]+e.cost;
        que.push(P(d[e.to],e.to));
      }
    }
  }
}
int main(){
  int k,u,v,c;
  cin >> V;
  for(int i=0;i<V;i++){
    cin >> u >> k;
    for(int j=0;j<k;j++){
      cin >> v >> c;
      edge ed;
      ed.to=v;
      ed.cost=c;
      G[u].push_back(ed);
    }
  }
  dijkstra(0);
  for(int i=0;i<V;i++){
    cout << i << " " << d[i] << endl;
  }
  return 0;
}

C++: #include <iostream>
#include <algorithm>
#include <vector>
#include <deque>
#include <queue>
#include <list>
#include <stack>
#include <string>
#include <tuple>
#include <functional>
#include <numeric>
#include <cmath>
#include <iomanip>
#include <map>
#include <random>
#include <cstdlib>
#define INT_MAX 2147483647
#define INT_MIN -2147483646
#define Loop(i, n) for(int i = 0; i < (int)n; i++)
#define Loop1(i, n) for(int i = 1; i <= (int)n; i++)
#define Loopr(i, n) for(int i = (int)n - 1; i >= 0; i--)
#define Loopr1(i, n) for(int i = (int)n; i >= 1; i--)
using namespace std;
typedef long long int ll;
typedef vector<int> vi;
typedef vector<vector<int>> vvi;
void fastios() { ios_base::sync_with_stdio(0); cin.tie(0); }

static const int N = 10005;

struct vertex {
	int id;
	int d;
	bool operator<(const vertex & another) const {
		return (d != another.d ? d>another.d : id>another.id);
	}
};

struct edge {
	int end;
	int w;
};

int main() {
	fastios();
	int n;
	cin >> n;
	vector<vector<edge>> E(N);
	Loop(i, n) {
		int u, k;
		cin >> u >> k;
		Loop(i, k) {
			int v, c;
			cin >> v >> c;
			E[u].push_back({ v,c });
		}
	}

	priority_queue<vertex> pq;
	vi color(N, 0), dist(N, 0);
	pq.push({ 0,0 });
	int cnt = 0;
	while (pq.size() > 0) {
		if (cnt == n) break;
		vertex v = pq.top();
		pq.pop();
		if (color[v.id] == 1) continue;
		dist[v.id] = v.d;
		color[v.id] = 1;
		cnt++;
		Loop(j, E[v.id].size()) {
			pq.push({ E[v.id][j].end, dist[v.id] + E[v.id][j].w });
		}
	}
	Loop(i, n) {
		cout << i << " " << dist[i] << endl;
	}
	return 0;
}

C++: #include <iostream>
#include <vector>
#include <queue>
#define INF 1000000
using namespace std;

class vertex{
public:
  class edge{
  public:
    int to;
    int weight;
    edge(int to, int weight){
      this->to = to;
      this->weight = weight;
    }
  };

  vector<edge> edges;
  int num;
  int dis;

  vertex(){
    n++;
    vertexes.push_back(this);
  }

  bool operator< (const vertex& v) const{
    return dis < v.dis;
  }

  bool operator> (const vertex& v) const{
    return dis > v.dis;
  }

  static void dijkstra(int start){
    //距離の初期化
    for(int i=0; i<n; i++) vertexes[i]->dis=INF;
    vertexes[start]->dis=0;

    //プライオリティキューを初期化、始点を格納
    priority_queue<vertex, vector<vertex>, greater<vertex> > pq; pq.push(*vertexes[start]);


    while(!pq.empty()){
      vertex now = pq.top(); pq.pop(); //キューの先頭をポップ
      if(now.dis>vertexes[now.num]->dis) continue;

      //ポップしたキューの頂点集合について最短距離更新
      for(int i=0; i<now.edges.size(); i++){
        int newDis = now.dis+now.edges[i].weight;
        vertex* next = vertexes[now.edges[i].to];
        if(newDis < next->dis){
          next->dis = newDis;
          pq.push(*next);
        }
      }

    }


  }

  static void print(){
    for(int i=0; i<n; i++){
      cout << vertexes[i]->num << " " << vertexes[i]->dis << endl;
    }
  }
private:
  static int n;
  static vector<vertex*> vertexes;
};

int vertex::n=0;
vector<vertex*> vertex::vertexes;

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

  vertex graph[n];

  //入力を隣接リストのようなものに格納
  int v, k, to, weight;
  for(int i=0; i<n; i++){
    cin >> v >> k;
    graph[i].num=v;
    for(int j=0; j<k; j++){
      cin >> to >> weight;
      vertex::edge e(to, weight);
      graph[v].edges.push_back(e);
    }
  }

  vertex::dijkstra(0); //0始点のダイクストラ法

  vertex::print();

  return 0;
}