Go: package main

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

const NIL = -1

type Node struct {
	id     int
	weight int
}

func init() {
	sc.Split(bufio.ScanWords)
}

type NodeHeap []Node

func (h NodeHeap) Len() int           { return len(h) }
func (h NodeHeap) Less(i, j int) bool { return h[i].weight < h[j].weight }
func (h NodeHeap) Swap(i, j int)      { h[i], h[j] = h[j], h[i] }

func (h *NodeHeap) Push(x interface{}) {
	*h = append(*h, x.(Node))
}

func (h *NodeHeap) Pop() interface{} {
	old := *h
	n := len(old)
	x := old[n-1]
	*h = old[0 : n-1]
	return x
}

var sc = bufio.NewScanner(os.Stdin)

func scanInt() int {
	num, _ := strconv.Atoi(scanString())
	return num
}

func scanString() string {
	sc.Scan()
	return sc.Text()
}

func init() {
	sc.Split(bufio.ScanWords)
}

func main() {
	n := scanInt()

	route := make([][]Node, n)
	weight := make([]int, n)
	for i := 0; i < n; i++ {
		weight[i] = NIL
	}

	for i := 0; i < n; i++ {
		u := scanInt()
		k := scanInt()
		route[i] = make([]Node, k)
		for j := 0; j < k; j++ {
			route[u][j] = Node{id: scanInt(), weight: scanInt()}
		}
	}

	start := Node{id: 0, weight: 0}
	h := &NodeHeap{start}
	heap.Init(h)

	for h.Len() > 0 {
		node := heap.Pop(h).(Node)
		if weight[node.id] != NIL {
			continue
		}
		weight[node.id] = node.weight

		for _, nextNode := range route[node.id] {
			if weight[nextNode.id] != NIL {
				continue
			}
			nextNode.weight += node.weight
			heap.Push(h, nextNode)
		}
	}

	for i, w := range weight {
		fmt.Println(i, w)
	}
}

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;

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() {
	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()) {
			if (color[E[v.id][j].end] != 1) {
				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<algorithm>
#include<queue>
using namespace std;
static const int MAX = 10000;
static const int INFTY = (1<<21);
static const int WHITE = 0;
static const int GRAY = 1;
static const int BLACK = 2;

int n;
vector<pair<int, int>> adj[MAX]; // 重み付き有向グラフの隣接リスト表現

void dijkstra(){
    priority_queue<pair<int, int>> PQ;
    int color[MAX];
    int d[MAX];
    for(int i=0; i<n; i++){
        color[i] = WHITE;
        d[i] = 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.second;
        color[u] = BLACK;

        // 最小値を取り出し、それが最短でなければ無視
        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;

                // priority_queueはデフォルトで大きい値を優先するため-1を掛ける
                PQ.push(make_pair(d[v]*(-1), v));
                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 <iostream>
#include <queue>
#include <algorithm>
#define N 10000
#define INF 1000000000

int n;
std::vector<std::pair<int, int> > adj[N];  //

void dijkstra(){
  std::priority_queue<std::pair<int , int> > PQ;  //Container adapter
  std::vector<int> Set(N, 1); //create int number of N, all value initialization to 1
  std::vector<int> d(N, INF); //create int number of N, all value initialization to INF

  d[0] = 0;
  PQ.push(std::make_pair(0, 0)); //add elements of PQ
  Set[0] = 1;

  while( PQ.empty() != 1 ){
    std::pair<int, int> f = PQ.top(); //Extract elements in priority order
    PQ.pop();//Erase the next element

    int u = f.second;
    Set[u] = 2;

    if( d[u] < f.first*(-1) ) continue;

    //   std::cout << adj[u].size() << std::endl;
    for(int i=0; i<adj[u].size(); i++){
      int v = adj[u][i].first;
      if( Set[v] == 2 )continue;
      if( d[v] > d[u] + adj[u][i].second ){
        d[v] = d[u] +adj[u][i].second;
        PQ.push(std::make_pair(d[v]*(-1), v));
        Set[v] = 1;
      }
    }
  }
  for(int j=0; j<n; j++){
    std::cout << j << " " << (d[j] == INF ? -1 : d[j]) << std::endl;
  }
}

int main(){
  int u, k, v, c;
  //Input
  std::cin >> n;
  for(int i=0; i<n; i++){
    std::cin >> u >> k;
    for(int j=0; j<k; j++){
      std::cin >> v >> c;
      adj[u].push_back(std::make_pair(v, c));
    }
  }
  dijkstra();
  return 0;
}

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(){
  int i, j;
  priority_queue<pair<int,int> > P;
  int color[MAX];
  int d[MAX];
  for( i = 0 ; i < n ; i++ ){
    d[i] = INFTY;
    color[i] = WHITE;
  }

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

  while( !P.empty() ){
    pair<int,int> f = P.top();
    P.pop();
    int u = f.second;
    color[u] = BLACK;
    if( d[u] < f.first*(-1) ) continue;

    for( 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;
	P.push(make_pair(d[v]*(-1),v));
	color[v] = GRAY;
      }
    }
  }

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

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

  cin >> n;

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

  dijkstra();

  return 0;
}