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 <stdio.h>
#include <cstring>
#include <math.h>
#include <algorithm>
#include <vector>
#include <string>
#include <stdlib.h>
#include <queue>
#include <stack>
#include <utility>
#define rep(i,n) for(int i=0;i<n;i++)
#define rrep(i,n) for(int i=n-1;i>=0;i--)
#define FOR(i,a,b) for(int i=a;i<b;i++)
#define ll long long
#define INF 1000000001
#define mod 1000000007
using namespace std;

int main(){
	
	int n,aaa;
	cin>>n;
	vector<vector<int>> v(n),c(n);
	vector<int> k(n),ans(n);
	rep(i,n){
		cin>>aaa>>k[i];
		v[i].resize(k[i]);
		c[i].resize(k[i]);
		rep(j,k[i]){
			cin>>v[i][j]>>c[i][j];
		}
		ans[i]=-1;
	}
	ans[0]=0;
	int m=INF,mi,mj;
	rep(aaaa,n-1){
		m=INF;
		rep(i,n){
			if(ans[i]!=-1){
				rep(j,k[i]){
					if(ans[v[i][j]]==-1 && m>ans[i]+c[i][j]){
						m=ans[i]+c[i][j];
						mi=i;
						mj=j;
					}
				}
			}
		}
		ans[v[mi][mj]]=m;
	}
	rep(i,n){
		cout<<i<<" "<<ans[i]<<endl;
	}
	
}

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 D(){
  int i, j;
  priority_queue<pair<int, int> > PQ;
  int color[MAX];
  int d[MAX];
  for(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(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;
      }
    } // end for    
  } // end while 

  for(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) );
    }
  }
  D();   

  return 0;
}

C++: #include <iostream>
#include <vector>
#include <queue>

using namespace std; 

int main(void) {
	int u,noe,nov;
	cin >> nov;
	vector< vector< pair<int,int> > > el(nov);
	for (int i = 0; i < nov; ++i) {
		cin >> u >> noe;
		el[u] = vector< pair<int,int> >(noe);
		for (int j = 0; j < noe; ++j) {
			cin >> el[u][j].first;
			cin >> el[u][j].second;
			el[u][j].second = -el[u][j].second;
		}
	}

	vector<int> res(nov,-(1 << 28));
	vector<int> check(nov,-1);
	res[0] = 0;
	pair<int,int> now,next;
	priority_queue< pair<int,int> > q;
	q.push({0,0});
	while (!q.empty()) {
		now = q.top();
		q.pop();
		if (check[now.second] < 0) {
			for (int i = 0; i < el[now.second].size(); ++i) {
				next = el[now.second][i];
				if (check[next.first] < 0 && res[next.first] < now.first+next.second) {
					res[next.first] = now.first+next.second;
					q.push({res[next.first],next.first});
				}
			}
		}
		check[now.second] = 1;
	}

	for (int i = 0; i < nov; ++i) {
		cout << i << " ";
		cout << -res[i] << endl;
	}

	return 0;
}

C++: #include <iostream>
#include <algorithm>
#include <vector>
#include <deque>
#include <queue>
#include <list>
#include <stack>
#include <string>
#include <tuple>
#include <functional>
#include <numeric>
#include <cmath>
#include <iomanip>
#include <map>
#include <random>
#include <cstdlib>
#define INT_MAX 2147483647
#define INT_MIN -2147483646
#define Loop(i, n) for(int i = 0; i < (int)n; i++)
#define Loop1(i, n) for(int i = 1; i <= (int)n; i++)
#define Loopr(i, n) for(int i = (int)n - 1; i >= 0; i--)
#define Loopr1(i, n) for(int i = (int)n; i >= 1; i--)
using namespace std;
typedef long long int ll;
typedef vector<int> vi;
typedef vector<vector<int>> vvi;

static const int N = 10005;

struct vertex {
	int id;
	int p;
	int d;
	bool operator<(const vertex & another) const {
		return (d != another.d ? d>another.d : id>another.id);
	}
};

struct edge {
	int end;
	int w;
};

int main() {
	int n;
	cin >> n;
	vector<vector<edge>> E(N);
	Loop(i, n) {
		int u, k;
		cin >> u >> k;
		Loop(i, k) {
			int v, c;
			cin >> v >> c;
			E[u].push_back({ v,c });
		}
	}
	//
	priority_queue<vertex> pq;
	vi color(N, 0), dist(N, 0);
	pq.push({ 0,-1,0 });
	while (pq.size() > 0) {
		vertex v = pq.top();
		pq.pop();
		if (color[v.id] == 1) continue;
		dist[v.id] = v.d;
		color[v.id] = 1;
		Loop(j, E[v.id].size()) {
			pq.push({ E[v.id][j].end, v.id, dist[v.id] + E[v.id][j].w });
		}
	}
	Loop(i, n) {
		cout << i << " " << dist[i] << endl;
	}
	return 0;
}