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<bits/stdc++.h>
#define ll long long int
#define FOR(i,a,b) for(ll i=(ll)(a);i<(ll)(b);i++)
#define REP(i,n) FOR(i,0,n)
#define REP1(i,n) FOR(i,1,n)
 
using namespace std;

static const int MAX = 100;
static const int INFTY = (1<<21);
static const int white =0;
static const int gray = 1;
static const int black = 2;

int n, M[MAX][MAX];

int dijkstra() {
  int u, minv;
  int d[MAX], color[MAX];

  REP(i, n) {
    d[i] = INFTY;
    color[i] = white;
  }

  d[0] = 0;
  color[0] = gray;

  while( 1 ) {
    minv = INFTY;
    u = -1;
    REP(i, n) {
      if (minv > d[i] && color[i] != black ) {
        u = i;
        minv = d[i];
      }
    }
    if (u == -1) break;
    color[u] = black;
    REP(v, n) {
      if (color[v] != black && M[u][v] != INFTY) {
        if (d[v] > d[u] + M[u][v]) {
          d[v] = d[u] + M[u][v];
          color[v] = gray;
        }
      }
    }
  }
  REP(i, n) {
    cout << i << " " << (d[i] == INFTY ? -1 : d[i]) << endl;
  }
}

int main() {
  cin >> n;
  REP(i, n) {
    REP(j, n) {
      M[i][j] = INFTY;
    }
  }

  int k, c, u, v;
  REP(i, n) {
    cin >> u >> k;
    REP(j, k) {
      cin >> v >> c;
      M[u][v] = c;
    }
  }
  dijkstra();
  return 0;
}

C++: /*宣言*/
#include<cstdio>
#include<iostream>
#include<algorithm>
#include<math.h>
#include<queue>
#include<string.h>
#include<string>
#include<vector>
using namespace std;
#define rep(i,n) for(int i=0;i<n;i++)
#define rep1(i,n) for(int i=1;i<=n;i++)
int main()
{
	int n, u, k, w[101][101], v, c;
	int d[101], kas[101] = { 0 }, K;
	cin >> n;
	memset(d, 0x7f, sizeof(d));
	memset(w, 0x7f, sizeof(w));
	rep(i, n)
	{
		cin >> u >> k;
		rep(j, k)
		{
			cin >> v >> c;
			w[u][v] = c;
		}
	}
	d[0]=0;
	int p[101];
	int Min,Min1;
	Min = 0;
	Min1 = 0x7f;
	kas[0] = 1;
	rep(j, n)
	{
		rep(i, n)
		{
			if (d[i] > d[Min] + w[Min][i])
			{
				d[i] = d[Min] + w[Min][i];
				p[i] = Min;
			}
			if (Min1 > d[i] && kas[i] == 0)
			{
				Min1 = d[i];
				K = i;
			}
		}
		kas[K] = 1;
		Min = K;
		Min1 = 0x7f;
	}
	rep(i, n)
	{
		cout << i <<' '<< d[i] << endl;
	}
	return 0;
}

C++: #include<iostream>
#include<algorithm>
using namespace std;

#define INF 1000000

int n;
int cost[110][110], d[110];
bool used[110];

void dijkstra(int s){

  //initialization
  for(int i = 0;i < n;i++) d[i] = INF;
  for(int i = 0;i < n;i++) used[i] = false;

  //distance of starting position is 0
  d[s] = 0;
  
  while(true){
    int v = -1;
    
    for(int u = 0;u < n;u++){
      if(!used[u] && (v == -1 || d[u] < d[v])) v = u;
    }
    
    if(v == -1) break; //finish
    used[v] = true; //use v

    //update distance
    for(int u = 0;u < n;u++){
      d[u] = min(d[u], d[v] + cost[v][u]);
    }
  }
}

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

  //input and initialization
  cin >> n;
  for(int i = 0;i < n;i++){
    for(int j = 0;j < n;j++){
      cost[i][j] = INF;
    }
  }
  for(int i = 0;i < n;i++){
    cin >> u >> k;
    for(int j = 0;j < k;j++){
      cin >> v >> c;
      cost[u][v] = min(cost[u][v], c);
    }
  }
  
  dijkstra(0);

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

C++: #include<iostream>
using namespace std;

static const int MAX = 100;
static const int INFTY = (1<<21);
static const int WHITE = 0;
static const int GRAY = 1;
static const int BLACK = 2;

int n, M[MAX][MAX];

void dijkstra() {
  int minv;
  int d[MAX], color[MAX];
  for (int i = 0; i < n; i ++) {
    d[i] = INFTY;
    color[i] = WHITE;
  }

  d[0] = 0;
  color[0] = GRAY;
  while (true) {
    minv = INFTY;
    int u = -1;
    for (int 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 (int v = 0; v < n; v ++) {
      if (color[v] != BLACK && M[u][v] != INFTY) {
        if (d[v] > d[u] + M[u][v]) {
          d[v] = d[u] + M[u][v];
          color[v] = GRAY;
        }
      }
    }
  }

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

int main() {
  cin >> n;
  for (int i = 0; i < n; i ++) {
    for (int j = 0; j < n; j ++) M[i][j] = INFTY;
  }

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

  dijkstra();

  return 0;
}