Go: package main

import (
	"bufio"
	"container/heap"
	"fmt"
	"os"
	"strconv"
)

//make priority queue
type Item struct {
	id       int
	priority int // this state is priority and distans from start
	index    int
}

type PriorityQueue []*Item

func (pq PriorityQueue) Len() int { return len(pq) }

// we want the ascending-priority-queue.
// So we use less than here.
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 = j
	pq[j].index = i
}

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
}

func (pq *PriorityQueue) update(dist int, id int) {
	for _, i := range *pq {
		if i.id == id {
			if i.priority > dist {
				i.priority = dist
			}
		}
	}
}

// the main code
func nextInt(sc *bufio.Scanner) int {
	sc.Scan()
	n, _ := strconv.Atoi(sc.Text())
	return n
}

func dikstra(dist *[][]int, n int) *[]int {
	// preparate priority queue
	inf := 1 << 30
	pq := make(PriorityQueue, n)
	shortests := make([]int, n)
	for i := 0; i < n; i++ {
		pq[i] = &Item{
			id:       i,
			priority: inf,
			index:    i,
		}

		shortests[i] = inf
	}
	pq[0].priority = 0
	shortests[0] = 0
	heap.Init(&pq)

	for pq.Len() > 0 {
		item := heap.Pop(&pq).(*Item)
		shortests[item.id] = item.priority
		for id, d := range (*dist)[item.id] {
			if d != -1 {
				pq.update(item.priority+d, id)
			}
		}
		heap.Init(&pq)
	}
	return &shortests
}

func main() {
	sc := bufio.NewScanner(os.Stdin)
	sc.Split(bufio.ScanWords)

	// init
	n := nextInt(sc)
	dist := make([][]int, n)
	for i := 0; i < n; i++ {
		dist[i] = make([]int, n)
		for j := 0; j < n; j++ {
			dist[i][j] = -1
		}
	}

	// std Input
	for i := 0; i < n; i++ {
		u := nextInt(sc)
		k := nextInt(sc)
		for j := 0; j < k; j++ {
			v, c := nextInt(sc), nextInt(sc)
			dist[u][v] = c
		}
	}

	shortests := dikstra(&dist, n)
	for i, d := range *shortests {
		fmt.Printf("%d %d\n", i, d)
	}
}

C++: #include <utility>
#include <string>
#include <vector>
#include <algorithm>
#include <iostream>
using namespace std;

int n;					//えぬ
int a[100][100] = {0};	//辺の重さ
int f[100] = {0};		//その頂点が調査済みかどうか

int main(){
	cin >> n;
	//まず辺の重さをaに入れる
	for ( int i = 0; i < n; i++ ) {
		for ( int j = 0; j < n; j++ ) {
			a[i][j] = -1;
		}
	}
	a[0][0] = 0;
	for ( int i = 0; i < n; i++ ) {
		int u;
		cin >> u;
		int k;
		cin >> k;
		for ( int j = 0; j < k; j++ ) {
			int v;
			cin >> v;
			cin >> a[u][v];
		}
	}
	for ( int i = 0; i < n - 1; i++ ) {
		int k = -1;
		int v = 0;
		for ( int j = 1; j < n; j++ ) {
			if ( a[0][j] == -1 || f[j] == 1 ) continue;
			if ( k == -1 || a[0][j] < k ) {
				v = j;
				k = a[0][j];
			}
		}
		f[v] = 1;
		for ( int j = 1; j < n; j++ ) {
			if ( v == j ) continue;
			if ( a[v][j] == -1 || f[j] == 1 ) continue;
			if ( a[0][j] == -1 || a[0][j] > a[0][v] + a[v][j] ) {
				a[0][j] = a[0][v] + a[v][j];
			}
		}
	}
	for ( int i = 0; i < n; i++ ) {
		cout << i << " " << a[0][i] << endl;
	}
	return 0;
}

C++: #include<bits/stdc++.h>
using namespace std;

using Weight=int;
struct Edge {
    int src,dest; Weight weight;
    bool operator<(const Edge &rhs)const{
        return weight<rhs.weight;
    }
};
using Edges=vector<Edge>;
using Graph=vector<Edges>;

const Weight INF=1e9;

void dijkstra(const Graph &g,int s,vector<Weight> &d)
{
    assert(0<=s && s<g.size());
    d.assign(g.size(),INF); d[s]=0;
    vector<int> used(g.size(),0);
    using P=pair<Weight,int>;
    priority_queue<P,vector<P>,greater<P>> que;
    que.push({0,s});
    while(!que.empty())
    {  
        auto val=que.top(); que.pop();
        Weight dist=val.first;
        int v=val.second;
        if(used[v]) continue;
        used[v]=true;
        for(auto e:g[v])
        {
            int to=e.dest;
            Weight w=e.weight;
            if(dist+w<d[to])
            {
                d[to]=dist+w;
                que.push({d[to],to});
            }
        }
    }
}

int main()
{
    int n;
    cin>>n;
    Graph g(n);
    for(int i=0;i<n;i++)
    {
        int k;
        cin>>k>>k;
        for(int j=0;j<k;j++)
        {
            int v;
            cin>>v;  
            Weight c;
            cin>>c;          
            g[i].push_back((Edge){i,v,c});
        }
    }
    vector<Weight> d;
    dijkstra(g,0,d);
    for(int i=0;i<n;i++)
    {
        cout<<i<<" "<<d[i]<<endl;
    }
    return 0;
}

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

using namespace std;

const int kSize = 100001;

vector<int> V;

struct Node {
    int to;
    int weight;

    Node(int _to, int _weight) {
        to = _to;
        weight = _weight;
    }
};

int n;
vector<Node> adj[kSize];
bool isMarked[kSize];
int tree[kSize];
int dis[kSize];

void Dijkstra(int s) {
    dis[s] = 0;
    priority_queue<pair<int, int>, vector<pair<int, int> >, greater<> > pq;

    pq.push(make_pair(s, 0));
    //isMarked[s] = true;
    tree[s] = s;

    while (!pq.empty()) {
        pair<int, int> p = pq.top();
        pq.pop();
        int from = p.first;
        for (int i = 0; i < adj[from].size(); ++i) {
            int to = adj[from][i].to;
            if (dis[from] + adj[from][i].weight < dis[to]) {
                dis[to] = dis[from] + adj[from][i].weight;
                tree[to] = from;
                pq.push(make_pair(to, dis[to]));
            }
        }
    }

}

int main() {
    fill(isMarked, isMarked + kSize, false);
    fill(dis, dis + kSize, INT_MAX);
    cin >> n;
    for (int i = 0; i < n; ++i) {
        int u, k;
        cin >> u >> k;
        for (int j = 0; j < k; ++j) {
            int v, c;
            cin >> v >> c;
            adj[u].emplace_back(v, c);
        }
    }

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

C++: #include<bits/stdc++.h>
using namespace std;
static const int INF=1000000;

int n;
vector<pair<int,int> > nex[10000];

void dijkstra(){ 
  priority_queue<pair<int,int> >PQ;
  int d[10000];
  int color[10000];  
  for(int i=0;i<n;i++){
    d[i]=INF;
    color[i]=0;
  }
  
  color[0]=1;
  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]=2;
    if(d[u] < f.first *(-1)) continue;
    
    for(int j=0;j<nex[u].size();j++){
      int v=nex[u][j].first;
      if(color[v] == 2) continue;
      if(d[v]>d[u]+nex[u][j].second){
        d[v]=d[u]+nex[u][j].second;
        PQ.push(make_pair(d[v]*(-1),v));
        color[v]=1;
      }
    }
  }
  for(int i=0;i<n;i++){
    cout<<i<<" "<<(d[i] == INF ?:d[i])<<endl;
  }
}


int main(){
  cin>>n;
  int u,k,v,c;
  for(int i=0;i<n;i++){
    cin>>u>>k;
    for(int j=0;j<k;j++){
      cin>>v>>c;
      nex[u].push_back(make_pair(v,c));
    }
  }
  
  dijkstra();
  return 0;
}