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 <queue>
static const int MAX = 10000;
static const int INFTY = (1<<20);
static const int WHITE = 0;
static const int BLACK = 1;

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

void dijkstra() {
  std::priority_queue<std::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(std::make_pair(0, 0));

  while(!PQ.empty()) {
    std::pair<int, int> f = PQ.top();
    PQ.pop();
    int u = f.second; // ..? これは重みでは?

    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(std::make_pair(d[v] * (-1), v));
      }
    }
  }

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

  std::cout << sum << std::endl;

}


int main() {
  int k, u, v, c;
  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();
}