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 <bits/stdc++.h>
using ll = long long;
using namespace std;
#define _overload3(_1, _2, _3, name, ...) name
#define _rep(i, n) repi(i, 0, n)
#define repi(i, a, b) for(int i = int(a); i < int(b); ++i)
#define rep(...) _overload3(__VA_ARGS__, repi, _rep, )(__VA_ARGS__)
#define all(x) (x).begin(), (x).end()
const long long INFLL = 1LL << 60;
const int INFINT = 1 << 30;
const long long MOD = 1e9 + 7;

template <class T> void vecout(T V) {
    auto t = V.begin();
    while(t != V.end()) {
        cout << " " << *t++;
        // if(t != V.end()) cout << " ";
    }
    cout << endl;
};

struct edge {
    int t;
    int c;
    edge(int a, int b) {
        t = a;
        c = b;
    }
};

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    int n, u, k, v, c;
    cin >> n;
    vector<edge> E[n];
    rep(i, n) {
        cin >> u >> k;
        rep(j, k) {
            cin >> v >> c;
            edge tmp(v, c);
            E[u].push_back(tmp);
        }
    }

    priority_queue<pair<int, int>, vector<pair<int, int>>,
                   greater<pair<int, int>>>
        Q; // cost,V

    int d[n];
    fill(d, d + n, INFINT);
    Q.push(make_pair(0, 0));

    int fix = 0;
    while(fix < n && !Q.empty()) {
        pair<int, int> v = Q.top();
        Q.pop();
        if(d[v.second] != INFINT) continue;
        d[v.second] = v.first;
        fix++;
        for(auto e : E[v.second]) {
            if(d[e.t] == INFINT) {
                Q.push(make_pair(v.first + e.c, e.t));
            }
        }
    }

    rep(i, n) cout << i << " " << d[i] << "\n";
}

C++: #include <iostream>
#include <vector>
#include <queue>
using namespace std;
typedef pair<int, long> P;
typedef struct edge{ long cost; int to; }edge;

const long INF = 1e11;

int main(){
  int n; cin >> n;
  long d[n];
  vector<edge> G[n];
  for(int i=0; i<n; i++){
    d[i] = INF;
    int u, k; cin >> u >> k;
    int v, c;
    for(int j=0; j<k; j++){
      cin >> v >> c;
      edge e; e.to = v; e.cost = c;
      G[u].push_back(e);
    }
  }
  priority_queue<P, vector<P>, greater<P>> que;
  d[0] = 0;
  que.push(P(0, 0));
  while(!que.empty()){
    P v = que.top(); que.pop();
    if(d[v.second] < v.first) continue;
    for(int i=0; i<G[v.second].size(); i++){
      edge e = G[v.second][i];
      if(d[e.to] > d[v.second] + e.cost){
        d[e.to] = d[v.second] + e.cost;
        que.push(P(d[e.to], e.to));
      }
    }
  }
  for(int i=0; i<n; i++){
    cout << i << " " << d[i] << endl;
  }
}

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<queue>
#include<vector>
using namespace std;

static const int MAX = 10000;
static const int INF = (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(){
    int color[MAX], d[MAX];

    for(int i = 0; i < n; i++){
        color[i] = WHITE;
        d[i] = INF;
    }

    d[0] = 0;

    // pair<vに到達するまでのスコア、v>
    priority_queue<pair<int,int>> pq;
    pq.push({0,0});
    color[0] = GRAY;

    while(!pq.empty()){
        pair<int,int> p = pq.top(); pq.pop();
        int u = p.second;
        
        color[u] = BLACK;
        if(d[u] < p.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({d[v]*(-1), v});
                color[v] = GRAY;
            }
        }
    }

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

int main(){
   int u, k, 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({v,c});
       }
   }

   dijkstra();

   return 0;
}