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<iostream>
#include<cstdio>
#include<string>
#include<algorithm>
#include<cstring>
#include<vector>
#include<queue>
using namespace std;
#define int(x) int x; scanf("%d",&x)
#define input(x) scanf("%d",&x)
#define rep(x,n) for(int x = 0; x < n; x++)
#define _br printf("\n")
#define INF 2000000000

vector<pair<int,int> > PathList[10000];
int d[10000];
bool complete[10000];

void dijkstra(int n,vector<pair<int,int> > PathList[]){
    priority_queue<pair<int,int> > PQ;
    
    rep(i,n){
        d[i] = INF;
        complete[i] = false;
    }
    d[0] = 0;
    PQ.push(make_pair(-d[0],0));
    int count = 0;
    
    while (count != n) {
        //select
        int mindi;
        while (1) {
            if (!complete[PQ.top().second]) {
                mindi = PQ.top().second;
                PQ.pop();
                break;
            }
            PQ.pop();
        }
        
        complete[mindi] = true;
        count++;
        
        //update
        rep(i,PathList[mindi].size()){
            if (PathList[mindi][i].second + d[mindi] < d[PathList[mindi][i].first]) {
                d[PathList[mindi][i].first] = PathList[mindi][i].second + d[mindi];
                PQ.push(make_pair(-PathList[mindi][i].second + d[mindi],PathList[mindi][i].first));
            }
        }
    }
}


int main(){
    int(n);
    rep(i,n){
        int(k);int(num);
        rep(j,num){
            int(s);int(t);
            PathList[i].push_back(make_pair(s,t));
        }
    }
    
    dijkstra(n,PathList);
    
    rep(i,n){
        printf("%d %d\n",i,d[i]);
    }
    
    return 0;
}

C++: #include <iostream>
#include <vector>
#include <queue>
#include <limits>
using namespace std;

struct vec {
    int t, c;
    vec(int to, int cost):t(to),c(cost){}
    bool operator>(const vec &r)const{return t>r.t;}
};
vector<vec> adj[10000];
int d[10000];

int main()
{
    ios::sync_with_stdio(false);
    cin.tie(0);
    int n;
    cin>>n;
    for(int i=0; i<n; i++) d[i]=numeric_limits<int>::max();
    for(int i=0; i<n; i++) {
        int u,k;
        cin>>u>>k;
        adj[u].reserve(k);
        for(int j=0; j<k; j++) {
            int v,c;
            cin>>v>>c;
            adj[u].push_back(vec(v,c));
        }
    }
    priority_queue<vec, vector<vec>, greater<vec> >q;
    q.push(vec(0,0));
    while(!q.empty()) {
        vec e=q.top();
        q.pop();
        if(d[e.t]<=e.c) continue;
        d[e.t]=e.c;
        for(vector<vec>::iterator it=adj[e.t].begin(); it!=adj[e.t].end(); ++it) q.push(vec(it->t, e.c+it->c));
    }
    for(int i=0; i<n; i++) cout<<i<<' '<<d[i]<<'\n';
    return 0;
}

C++: #include <iostream>
#include <vector>
#include <queue>
#include <functional>
#include <utility>
using namespace std;

const int MAX = 10000;
const int INF = 1 << 29;

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

void solve()
{
	int ans[MAX];
	bool visited[MAX];
	priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> PQ;

	for (int i = 0; i < n; i++) {
		ans[i] = INF;
		visited[i] = false;
	}

	ans[0] = 0;

	PQ.push(make_pair(0, 0));

	while (PQ.empty() == false) {
		pair<int, int> p = PQ.top();
		PQ.pop();

		visited[p.second] = true;

		if (ans[p.second] < p.first) {
			continue;
		}

		for (unsigned int i = 0; i < cost[p.second].size(); i++) {
			int v = cost[p.second][i].second;

			if (visited[v] == true) {
				continue;
			}

			if (ans[v] > ans[p.second] + cost[p.second][i].first) {
				ans[v] = ans[p.second] + cost[p.second][i].first;
				PQ.push(make_pair(ans[v], v));
			}
		}
	}


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

int main()
{
	cin >> n;

	for (int i = 0; i < n; i++) {
		int num;
		cin >> num >> num;

		for (int j = 0; j < num; j++) {
			int v, c;
			cin >> v >> c;
			cost[i].push_back(make_pair(c, v));//(?????¢,?????????
		}
	}


	solve();

	return 0;
}

C++: #include <bits/stdc++.h>
using namespace std;
#define INT_MAX 10000000
#define MAX 10001

int d[MAX];
int n;
priority_queue<pair<int,int> > q;
vector<pair<int,int> > adj[MAX];
vector<int> s;

int check(int point){
    if(find(s.begin(), s.end(), point) != s.end()){
        //printf("%d in q\n",point);
        return 1;
    }
    else{
        //printf("%d not in q\n",point);
        return 0;
    }
}

void dijk(){
    q.push(make_pair(0,0));
    int new_node, v;
    while(s.size()!=n){
        // get smallest value
        pair<int,int> pa = q.top();
        new_node = pa.second;
        if(check(new_node)==0){
            s.push_back(new_node);
        }

        q.pop();

        for(int i=0;i<adj[new_node].size();++i){
            v = adj[new_node][i].first;
            if(d[new_node]+adj[new_node][i].second<d[v]){
                d[v] = d[new_node]+adj[new_node][i].second;
                q.push(make_pair(d[v]*(-1),v));
            }
        }
    }
}

int main(){
    int id, pair_n, source, dis;
    int value;
    //FILE *fp=fopen("In3.txt","r");
    scanf("%d",&n);
    for(int i=0;i<n;++i){
        scanf("%d %d",&id, &pair_n);
        //cin >> id >> pair_n;
        for(int j=0;j<pair_n;++j){
            scanf("%d %d",&source, &dis);
            //cin >> source >> dis;
            adj[id].push_back(make_pair(source,dis));
        }
    }
    d[0] = 0;
    for(int i=1;i<n;++i){
        d[i] = INT_MAX;
    }
    dijk();
    for(int i=0;i<n;++i){
        printf("%d %d\n",i,d[i]);
    }

    return 0;
}