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 <iomanip>
#include <algorithm>
#include <cfloat>
#include <climits>
#include <cmath>
#include <complex>
#include <cstdio>
#include <cstdlib>
#include <functional>
#include <sstream>
#include <string>
#include <utility>
#include <map>
#include <memory>
#include <set>
#include <vector>
#include <deque>
#include <list>
#include <stack>
#include <queue>

using namespace std;

class SSSPath
{
public:
  int solve();
};

int SSSPath::solve()
{
  int n;
  cin >> n;

  vector<vector<pair<int, int>>> adj( n );

  for ( auto i = 0; i < n; ++i )
    {
      int k, u, v, w;

      cin >> u >> k;

      for ( auto j = 0; j < k; ++j )
        {
          cin >> v >> w;
          adj[u].push_back( make_pair( v, w ) );
        }
    }

  const int infty = 2000000000;
  
  vector<int> d( n, infty );
  vector<bool> vs( n, true );
  
  d[0] = 0;

  while ( true )
    {
      int u, mc = infty;

      for ( auto i = 0; i < n; ++i )
        {
          if ( vs[i] && d[i] < mc )
            {
              mc = d[i];
              u = i;
            }
        }

      if ( mc == infty ) break;
      
      vs[u] = false;

      for ( auto it = adj[u].begin(); it != adj[u].end(); ++it )
        {
          if ( d[(*it).first] > d[u] + (*it).second )
            {
              d[(*it).first] = d[u] + (*it).second;
            }
        }
    }

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

int main()
{
  SSSPath s;

  s.solve();

  return 0;
}

C++: #include<bits/stdc++.h>
using namespace std;
#define rep(i, n) for(int i = 0; i < (int)(n); i++)

#define MAX 10000
#define INF (1<<20)
#define WHITE 0
#define GRAY 1
#define BLACK 2

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

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

    rep(i,n){
        color[i] = WHITE;
        d[i] = INF;
    }

    d[s] = 0;
    PQ.push(make_pair(0, s));

    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 i = 0; i < adj[u].size(); i++){
            int v = adj[u][i].first;
            int c = adj[u][i].second;
            if(color[v] == BLACK) continue;
            if(d[v] > d[u] + c){
                d[v] = d[u] + c;
                PQ.push(make_pair((-1)*d[v], v));
            }
        }
    }

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

int main(){
    cin >> n;
    int u, k, v, c;
    rep(i,n){
        cin >> u >> k;
        rep(j,k){
            cin >> v >> c;
            adj[u].push_back(make_pair(v, c)); 
        }
    }

    dijkstra(0);

    return 0;
}

C++: //専用ライブラリ
#include <iostream>
#include <iomanip>
#include <istream>
#include <ostream>
#include <sstream>
#include <iterator>
#include <vector>
#include <algorithm>
#include <queue>
#include <deque>
#include <list>
#include <stack>
#include <map>
#include <set>
#include <utility>
#include <cmath>
#include <cstdio>
#include <cstring>
#include <string>
#include <ctime>
#include <cctype>
#include <cstdlib>
using namespace std;
typedef long long int ll;
typedef pair<ll,ll>P;
#define INF 10e6
#define MOD 1000000007
#define rep(i, a, n) for (ll i = a; i < (ll)(n); i++)
#define fi first
#define se second
#define mmax(x,y)(x>y?x:y)
#define mmin(x,y)(x<y?x:y)
#define PI acos(-1.0)
long long GCD(long long a, long long b) { return b ? GCD(b, a%b) : a; }
long long LCM(long long a, long long b)  {return a/GCD(a,b)*b;}
int dx[4]={1,0,-1,0};
int dy[4]={0,1,0,-1};
int cmp(P a,P b){
        if(a.fi!=b.fi)
        return a.fi>b.fi;
        else
        return a.se<b.se;
}
//---------------------------------------------------------------------------
#define WHITE 0
#define GRAY 1
#define BLACK 2
int n;
vector<pair<int,int> >adj[10001];//邻接表表示法
void dijkstra(){
    priority_queue<pair<int,int> > pq;
    int color[10001];
    int d[10001];
    for(int i=0;i<n;i++){
        d[i]=INF;
        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]==INF?-1:d[i])<<endl;
    }
}
//---------------------------------------------------------------------------
int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    //-------------------------------
    cin>>n;
    
    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;
            adj[u].push_back(make_pair(v,c));
        }
    }
    dijkstra();
    //-------------------------------
    return 0;
}
//---------------------------------------------------------------------------