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<iostream>
#include<vector>
#include<algorithm>
#include<cstdio>
#include<cstdlib>
#include<string>
#include<sstream>
#include<cmath>
#include<numeric>
#include<map>
#include<stack>
#include<queue>
using namespace std;
int inf = 1000000000;

class UF{
public:
  vector<int> u;
  vector<int> r;

  void init(int n){
    u.resize(n, 0);
    r.resize(n, 0);
    for(int i=0; i<n; i++) u[i] = i;
  }
  int root(int x){
    // if( u[x] == x ) return x;
    // else return root(u[x]);
    return u[x] == x ? x : u[x] = root(u[x]);
  }
  bool same(int x, int y){
    return root(x) == root(y);
  }
  void unite(int x, int y){
    x = root(x);
    y = root(y);
    if( x == y ) return;

    if( r[x] < r[y] ){
      u[x] = y;
    }else{
      u[y] = x;
      if( r[x] == r[y] ) r[x]++;
    }
  }
};
class Graph{
public:
  int from, to, cost;
  bool operator<(const Graph &g1)const{
    return g1.cost < cost;
  };
};

int main(void) {

  int n;
  cin >> n;
  UF uf;
  uf.init(n);
  priority_queue<Graph> g;

  vector< vector<int> > d(n, vector<int> (n, inf));

  for(int i=0; i<n; i++){
    d[i][i] = 0;
    int u, k;
    cin >> u >> k;
    for(int j=0; j<k; j++){
      int c, v;
      cin >> v >> c;
      d[u][v] = min(c, d[u][v]);
      // Graph tg;
      // tg.to = v;
      // tg.from = u;
      // tg.cost = c;
      // g.push(tg);
    }
  }
  while( !g.empty() ){
    cerr << g.top().from << " " << g.top().to << " " << g.top().cost << endl;
    g.pop();
  }

  for(int i=0; i<n; i++){
    for(int j=0; j<n; j++){
      for(int k=0; k<n; k++){
        d[j][k] = min(d[j][k], d[j][i] + d[i][k]);
      }
    }
  }

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

  return 0;
}

// EOF