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>

using namespace std;

#define llong long long 
typedef pair<long int, int> P;
long int d[10001];
bool Dec[10001];
vector<P> edges[10001];
priority_queue<P, vector<P>, greater<P> > q;

void solve(){
	fill_n(d, 10001, 9999999);
	d[0] = 0;
	fill_n(Dec, 10001, false);
	q.push(P(0,0));

	while(!q.empty()){
		P p = q.top(); q.pop();
		if(Dec[p.second] == true) continue;
		Dec[p.second] = true;
		d[p.second] = p.first;

		for(int i = 0; i < edges[p.second].size(); i++){
			P e = edges[p.second][i];
			if(d[e.second] > p.first + e.first){
				q.push(P(p.first + e.first, e.second));
			}
		}
	}

	return;
}

int main(){
	int N;
	cin >> N;
	for(int i = 0; i < N; i++){
		int num;
		int howedge;
		cin >> num >> howedge;
		for(int j = 0; j < howedge; j++){
			int to;
			long int cost;
			cin >> to >> cost;
			edges[num].push_back(P(cost, to));
		}
	}

	solve();

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

	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 WHITE=0;
static const int GRAY=1;
static const int BLACK=2;
 
int n;
vector<pair<int, int> >adj[MAX];
 
void dijkstra(){
    priority_queue<pair<int, int> > PQ;
    int d[MAX],color[MAX];
    for(int i=0;i<n;i++){
        d[i]=INFTY;
        color[i]=WHITE;
    }
     
    d[0]=0;
    PQ.push(make_pair(0, 0));
    color[0]=GRAY;
 
     
    while (!PQ.empty()) {
        pair<int, int> f=PQ.top(); PQ.pop();
        int u=f.second;
        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(make_pair(d[v]*(-1),v));
                color[v]=GRAY;
            }
            }
        }
     
     
    for(int i=0;i<n;i++){
      cout<<i<< " "<<(d[i]==INFTY ?-1:d[i])<<endl;
    }
}
 
 
 
int main(){
    int k, u, v, c;
     
    cin>>n;
     
    for(int i=0;i<n;i++){
         cin>>u>>k;
        for(int j=0;j<k;j++){
            cin>>v>>c;
             adj[u].push_back(make_pair(v, c));
        }
    }
   
    dijkstra();
    return 0;
     
     
}

C++: #include<iostream>
#include<cstdio>
#define INF 1<<30
#define FinishFunction return 0
#define MAX 1000000
using namespace std;
       
struct edge {
  int from,to,cost,k;
};
     
edge es[MAX];
     
int main(){
  int n,u,k,E,c,v;
  E = 0;
  scanf("%d",&n);
     
  for(int i=0;i<n;i++){
    scanf("%d %d",&u,&k);
        
    for(int j=0;j<k;j++){
      scanf("%d %d",&v,&c);
      es[E].from = u;
      es[E].to = v;
      es[E++].cost = c;
    }
  }
     
  // Ika berumanfo-do
  int d[MAX];
  for(int i=0;i<n;i++)d[i] = INF;
  d[0] = 0;
  while(true){
    bool update = false;
    for(int i=0;i<E;i++){
      edge e = es[i];
      if(d[e.from] != INF && d[e.to] > d[e.from] + e.cost){
    d[e.to] = d[e.from] + e.cost;
    update = true;
      }
    }
    if(!update)break;
  }
  for(int i=0;i<n;i++)cout << i << " " << d[i] << endl;
  FinishFunction;// return 0
}

C++: //priority-queueを使ったダイクストラ
#include<bits/stdc++.h>
using namespace std;
vector<int> color;//0はまだ行ってない1は行った
vector<int> dist;
vector<vector<pair<int,int>>> M;
int n;
const int INF = (1<<20);
void dijkstra(int s){
    priority_queue<pair<int,int>> que;//v,重さ
    dist[s] = 0;
    que.push(make_pair(0,0));
    color[s] = 1;
    while(!que.empty()){
        pair<int,int> f = que.top();
        que.pop();
        int u = f.second;
        color[u] = 1;
        if(dist[u]<f.first*(-1)) continue;//最小値を取り出し、それが最短でなければ無視
        for(auto nv:M[u]){
            int v = nv.first;
            if(color[v]==1) continue;
            if(dist[v]>dist[u]+nv.second){
                dist[v]=dist[u]+nv.second;
                que.push(make_pair(dist[v]*(-1),v));
            }
        }
    }
}
int main(){
    cin >> n;
    color.resize(n);
    dist.assign(n,INF);
    M.resize(n);
    for(int i=0;i<n;i++){
        int id,k;cin >> id >> k;
        for(int j = 0;j<k;j++){
            int v,c;cin >> v >> c;
            M[id].push_back(make_pair(v,c));
        }
    }
    dijkstra(0);
    for(int i=0;i<n;i++){
        cout << i << " ";
        cout << dist[i] << endl;
    }
    
}

C++: #include <cstdio>
#include <cstring>
#include <climits>
#include <queue>
#include <map>
using namespace std;

typedef map<int, int>::iterator mitr;

map<int, int> w[100];
int d[100];
char pos[100];

priority_queue<pair<int,int> > others;
pair<int,int> p;

void findPath(){
    p = others.top();
    others.pop();
    while(pos[p.second]){
        p = others.top();
        others.pop();
    }
    pos[p.second]=1;

    int tmpu = p.second;
    int tmpd = -p.first;

    for(mitr i=w[tmpu].begin();i!=w[tmpu].end();i++){
        if(tmpd + i->second < d[i->first]){
            d[i->first] = tmpd + i->second;
            others.push(make_pair(-d[i->first],i->first));
        }
    }
}

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

    scanf("%d",&n);
    for(i=0;i<n;i++){
        scanf("%d %d",&u,&k);
        for(j=0;j<k;j++){
            scanf("%d %d",&v,&c);
            w[u][v] = c;
        }
    }

    memset(pos,0,sizeof(char)*100);
    for(i=0;i<n;i++)d[i]=INT_MAX;
    d[0] = 0;
    others.push(make_pair(0,0));
    for(i=0;i<n;i++)findPath();
    for(i=0;i<n;i++)printf("%d %d\n",i,d[i]);

    return 0;
}