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<iostream>
#include<cstdio>
#include<string>
#include<algorithm>
#include<cstring>
#include<vector>
using namespace std;
#define int(x) int x; scanf("%d",&x)
#define input(x) scanf("%d",&x)
#define rep(x,n) for(int x = 0; x < n; x++)
#define _br printf("\n")
#define INF 2000000000

vector<pair<int,int> > PathList[100];
int d[100];
bool complete[100];

void dijkstra(int n,vector<pair<int,int> > PathList[]){
    rep(i,n){
        d[i] = INF;
        complete[i] = false;
    }
    d[0] = 0;
    
    int count = 0;
    
    while (count != n) {
        int mind = INF;
        int mindi = 0;
        
        //select
        rep(i,n){
            if (!complete[i] && d[i] < mind) {
                mind = d[i];
                mindi = i;
            }
        }
        
        complete[mindi] = true;
        count++;
        
        //update
        rep(i,PathList[mindi].size()){
            if (PathList[mindi][i].second + d[mindi] < d[PathList[mindi][i].first]) {
                d[PathList[mindi][i].first] = PathList[mindi][i].second + d[mindi];
            }
        }
    }
}


int main(){
    int(n);
    rep(i,n){
        int(k);int(num);
        rep(j,num){
            int(s);int(t);
            PathList[i].push_back(make_pair(s,t));
        }
    }
    
    dijkstra(n,PathList);
    
    rep(i,n){
        printf("%d %d\n",i,d[i]);
    }
    
    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 W=0;
static const int G=1;
static const int B=2;

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

void dij(){
  priority_queue<pair<int ,int> > PQ;
  int color[MAX];
  int d[MAX];
  int i;

  for(i=0;i<n;i++){
    d[i]=INFTY;
    color[i]=W;
  }
  
  d[0]=0;
  PQ.push(make_pair(0,0));
  color[0]=G;

  while(!PQ.empty()){
    pair<int,int> f=PQ.top();
    PQ.pop();
    int u;
    u=f.second;
    color[u]=B;

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

    int j;

    for(j=0;j<adj[u].size();j++){
      int v=adj[u][j].first;
      if(color[v]==B) continue;

      if(d[v]>d[u]+adj[u][j].second){
	d[v]=d[u]+adj[u][j].second;

	PQ.push(make_pair(d[v]*(-1),v));
	color[v]=G;
      }
    }
  }
  for(i=0;i<n;i++){
    cout<<i<<" "<<(d[i]==INFTY ? -1:d[i])<<endl;
  }
}

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

  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));
    }
  }
  dij();
  return 0;
}

C++: #include <bits//stdc++.h>
using namespace std;
struct Point{
    vector<pair<int,int>> next;
    int distance=0;
    int check=1;
};
int main(void){
    int a,b,i,j;
    cin>>a;
    Point points[a];
    for(i=0;i<a;i++){
        int p,dist,d,e;
        cin>>d>>e;
        for(j=0;j<e;j++){
            cin>>p>>dist;
            pair<int,int> t;
            t=make_pair(dist,p);
            points[d].next.push_back(t);
        }
    }
    
    priority_queue<pair<int,int>, vector<pair<int,int>>, greater<pair<int,int>>> q;
    q.push(make_pair(0,0));
    while(q.empty()==false){
        int v=q.top().second;
        int dist=q.top().first;
        q.pop();
        if(points[v].check){
            points[v].distance=dist;
            points[v].check=0;
            for(i=0;i<points[v].next.size();i++){
                int d1=points[v].next[i].first;
                int v1=points[v].next[i].second;
                if(points[v1].check)
                    q.push(make_pair(d1+dist,v1));
            }
        }
    }
    for(i=0;i<a;i++)
        cout<<i<<" "<<points[i].distance<<endl;
}

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

int x[1000][1000];
int y[1000];

int main() {
	memset(x, 1, sizeof(x));
	memset(y, 1, sizeof(y));
	int n, a, b, c, d;
	cin >> n;
	for (int i = 0; i < n; i++) {
		cin >> a >> b;
		for (int i = 0; i < b; i++) {
			cin >> c >> d;
			x[a][c] = d;
		}
	}
	y[0] = 0;
	for (int i = 0; i < n; i++) {
		for (int j = 0; j < n; j++) {
			for (int k = 0; k < n; k++) {
				y[k] = min(y[k], y[j] + x[j][k]);
			}
		}
	}
	for (int i = 0; i < n; i++) {
		cout << i << ' ' << y[i] << endl;
	}
	return 0;
}