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 fordebug int hoge;cin>>hoge;
#define DEKAI 1000000007
#define INF (1<<28)
#define lp(i,n) for(int i=0;i<n;i++)
#define lps(i,j,n) for(int i=j;i<n;i++)
#define floot10 cout<<fixed<<setprecision(10);
#define int long long


signed main(){
	int n;
	cin>>n;
	vector<pair<int,int> > v[10000];
	lp(i,n){
		int u,k;
		cin>>u>>k;
		lp(j,k){
			int a,b;
			cin>>a>>b;
			v[u].push_back(make_pair(a,b));
		}
	}
	queue<pair<int,int> > q;
	q.push(make_pair(0,0));
	int memo[10000];
	lp(i,10000) memo[i]=INF;
	memo[0]=0;
	while(!q.empty()){
		pair<int,int> hoge=q.front();
		q.pop();
		int now=hoge.first;
		int cos=hoge.second;
		if(memo[now]<cos) continue;
		lp(i,v[now].size()){
			int next=v[now][i].first;
			int cost=v[now][i].second;
			if(memo[next]>cos+cost){
				 q.push(make_pair(next,cos+cost));
				 memo[next]=cos+cost;
			}
		}
	}
	lp(i,n){
		cout<<i<<" "<<memo[i]<<endl;
	}
    return 0;
}

C++: #include<iostream>
#include<cstdio>
#include<vector>
#include<queue>
#include<map>
#include<string>
#include<algorithm>
#include<functional>
#define ll long long
#define inf  999999999
#define pa pair<int,int>

using namespace std;

int n;
vector<pa> a[10200];
void dij(){
	int d[10200]={0};
	int ans[10200]={0};
	priority_queue<pa>  PQ; 
	pair<int,pa> q;
	pa r;
	int wei=0;
	int u=0,z=0;
	d[0]=1;
	while(z!=n-1){
		for(int j=0;j<a[u].size();j++){
			r=make_pair(ans[u]+a[u][j].second,a[u][j].first);
			if(d[a[u][j].first]==0 ) PQ.push(r);
		}
	while(1){
		if(PQ.size()==0) {
			cout<<"dv"<<endl;
		break;
		}
		r=PQ.top();
		PQ.pop();
		
		if(d[r.second]==0) break;
	
		}
	u=r.second;
	d[u]=1;
	ans[u]=r.first;
	
	z++;
	}
//	cout<<-wei<<endl;
	for(int i=0;i<n;i++) cout<<i<<" "<<-ans[i]<<endl;
}



int main(){
	// your code goes here
	int m,k,z,l;
	cin>>n;
	for(int i=0;i<n;i++){
	cin>>z>>k;
	
		for(int j=0;j<k;j++){
		cin>>m>>l;
		a[i].push_back(make_pair(m,-l));
		}
	}
	dij();

	return 0;
}

C++: #include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int INF=0x3f3f3f3f;
inline ll read(){
	ll x=0,f=1;
	char ch=getchar();
	while(ch<'0'||ch>'9'){
		if(ch=='-') f=-1;
		ch=getchar();
	}
	while(ch>='0'&&ch<='9'){
		x=(x<<1)+(x<<3)+(ch^48);
		ch=getchar();
	}
	return x*f;
}
const int maxn=1e4+5;
int n,k,u,v,c;
vector<pair<int,int> >adj[maxn];
void dijkstra(){
	priority_queue<pair<int,int> >PQ;
	int color[maxn],d[maxn];
	for(int i=0;i<n;i++){
		color[i]=0;
		d[i]=INF;
	}
	d[0]=0;
	PQ.push(make_pair(0,0));
	while(!PQ.empty()){
		pair<int,int> f=PQ.top();
		PQ.pop();
		int u=f.second;
		color[u]=1;
		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]==1) 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));
			}
		}
	}
	for(int i=0;i<n;i++){
		printf("%d ",i);
		if(d[i]==INF) printf("-1\n");
		else printf("%d\n",d[i]);	
	}
}
int main(){
	n=read();
	for(int i=0;i<n;i++){
		u=read(),k=read();
		for(int j=0;j<k;j++){
			v=read(),c=read();
			adj[u].push_back(make_pair(v,c));
		}
	}
	dijkstra();
	return 0;
}

C++: #include<iostream>
#include<algorithm>
#include<queue>
using namespace std;
static const int MAX = 10000;
static const int INFTY = (1 << 21);
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 color[MAX];
	int d[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<algorithm>
#include<queue>

using namespace std;

static const int MAX = 10000;
static const int INFTY = (1 << 21);
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 color [MAX];
  int d[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;

    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() {
  cin >> n;

  int k, u, v, c;;
  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;
}