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 <stdio.h>
#define INF 1000000
#define white 0
#define black 2
#define gray 1

int n,M[100][100];

void dijkstra();

int main(){
  int i,j,k,c,v,u;
  scanf("%d",&n);
  for(i=0;i<n;i++){ 
    for(j=0;j<n;j++){
      M[i][j]=INF;
    }
  }
  for(i=0;i<n;i++){
    scanf("%d%d",&u,&k);
    for(j=0;j<k;j++){
      scanf("%d%d",&v,&c);
      M[u][v]=c;
    }
  }
  dijkstra();
  
  return 0;
}
void dijkstra(){
  int i,d[100],mincost,color[100],v,u;
  for(i=0;i<n;i++){
    d[i]=INF;
    color[i]=white;
  }
  d[0]=0;
  color[0]=gray;

  while(1){
    mincost=INF;
    u=-1;
    for(i=0;i<n;i++){
      if(color[i]!=black&&d[i]<mincost){
	mincost=d[i];
	u=i;
      }
    }
    if(u==-1)break;
    
    color[u]=black;
    for(v=0;v<n;v++){
      if(color[v]!=black&&M[u][v]!=INF){
	if(d[v]>d[u]+M[u][v]){
	  d[v]=d[u]+M[u][v];
	  color[v]=gray;
	}
      }
    }
  }
  for(i=0;i<n;i++){
    printf("%d ",i);
    if(d[i]==INF)printf("-1");
    else printf("%d",d[i]);
    printf("\n");
  }
}

C++: //#include <bits/stdc++.h>
#include<iostream>
#include<math.h>
using namespace std;

#define MAX 100
#define WHITE 0
#define GRAY 1
#define BLACK 2
int INF = (1<<21);

void dijkstra(void);

int n;
int M[MAX][MAX];

int main(){
  int i,j;
  int c,k,u,v;
  cin >> n;
  for( i = 0; i < n; i++){
    for(j = 0; j < n; j++){
      //M[i][j] = INFINITY;
      M[i][j] = INF;
    }
  }
  for(i = 0; i < n; i++){
    cin >> u;
    cin >> k;
    for(j = 0; j < k; j++){
      cin >> v;
      cin >> c;
      M[u][v] = c;
    }
  }
  dijkstra();
  return 0;
}

void dijkstra(){
  int minV;
  int d[MAX],color[MAX];
  int u,v;
  int i;
  for(i = 0; i < n; i++){
    //d[i] = INFINITY;
    d[i] = INF;
    color[i] = WHITE;
  }
  d[0] = 0;
  color[0] = GRAY;
  while(1){
    //minV = INFINITY;
    minV = INF;
    u = -1;
    for(i = 0; i < n; i++){
      if(minV > d[i] && color[i] != BLACK){
        u = i;
        minV = d[i];
      }
    }
    if(u == -1){
      break;
    }
    color[u] = BLACK;
    for(v = 0; v < n; v++){
      //if(color[v] != BLACK && M[u][v] != INFINITY){
      if(color[v] != BLACK && M[u][v] != INF){
        if(d[v] > d[u] + M[u][v]){
          d[v] = d[u] + M[u][v];
          color[v] = GRAY;
        }
      }
    }
  }
  for(i = 0; i < n; i++){
    //cout << i << " " << (d[i] == INFINITY ? -1 : d[i]) << endl;
    cout << i << " " << (d[i] == INF ? -1 : d[i]) << endl;
  }
}

C++: #include<iostream>
#define LEN 100
#define INFTY 2000000001
#define NIL -1
#define WHITE 1
#define BLACK 0
using namespace std;
 
int main()
{
  int n,u,v,k,c,mincost=0;
  int G[LEN+1][LEN+1], d[LEN+1], pi[LEN+1], color[LEN+1];
 
  cin>>n;
 
  for(int i = 0; i < n; i++){
    for(int j = 0; j < n; j++){
      G[i][j] = INFTY;
    }
  }
   
  for(int i = 0; i < n; i++){
    cin>>u>>k;
    for(int j = 0; j < k; j++){
      cin>>v>>c;
      G[u][v] = c;
    }
  }
 
  for(int i = 0; i < n; i++){
    d[i] = INFTY;
    pi[i] = NIL;
    color[i] = WHITE;
  }
   
  d[0] = 0;
   
  while(1){
    mincost = INFTY;
    for(int i = 0; i < n; i++){
      if(color[i] != BLACK && d[i] < mincost){
    mincost = d[i];
    u = i;
      }
    }

    if(mincost == INFTY) break;
    color[u] = BLACK;
    for(int i = 0; i < n; i++){
      if(d[i] > d[u] + G[u][i]){
        d[i] = d[u] + G[u][i];
        pi[i] = u;
      }
    }
  }
 
  for(int i = 0; i < n; i++){
    cout<<i<<" "<<d[i]<<endl;

  }
 
  return 0;
}

C++: #include <iostream>
#include <vector>
#define rep(i,N) for(int i = 0; i<(int)(N); i++)
#define REP(i,k,N) for(int i = k; i<(int)(N); i++)
#define MAX_C 100000
typedef long long ll;
using namespace std;

int main(){
        int n;
        cin >> n;
        vector< vector<int> > G(n, vector<int>(n,MAX_C+1));
        int u,k,v,c;
        rep(i,n){
                cin >> u >>k;
                rep(j,k){
                        cin >> v >> c;
                        G[u][v] = c;
                }
        }

        vector<ll> d(n, MAX_C * n);
        d[0]=0;
        bool update = true;
        while(update) {
                update  = false;
                rep(from,n) {
                        if(d[from] >= MAX_C * n) continue;

                        rep(to,n){
                                if(from == to || G[from][to] >= MAX_C + 1) continue;

                                if(d[to] > d[from] + G[from][to]) {
                                        update = true;
                                        d[to] = d[from] + G[from][to];
                                }

                        }
                }
        }
        rep(i,n){
                cout << i << " " << d[i] << endl;
        }

        return 0;
}