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 <bits/stdc++.h>
#define rep(i, n) for (int i = 0; i < (n); ++i)
#define repr(i, n) for (int i = (n); i >= 0; --i)
#define FOR(i, m, n) for (int i = (m); i < (n); ++i)
#define FORR(i, m, n) for (int i = (m); i >= (n); --i)
using namespace std;
typedef long long ll;
const ll mod = 1000000007;
const ll mod2 = 998244353;
const int INF = 1000000005;
const int MAX = 10005;

vector<pair<int, int>> to[MAX];
bool seen[MAX];
int d[MAX], n;

void dijkstra(int u) {
  d[u] = 0;
  priority_queue<pair<int, int>> pq;
  pq.push(make_pair(0, 0));
  pair<int, int> p;
  while (!pq.empty()) {
    p = pq.top();
    pq.pop();
    seen[p.second] = true;

    for (pair<int, int> e: to[p.second]) {
      if (seen[e.second]) continue;
      if (d[p.second] + e.first < d[e.second]) {
        d[e.second] = d[p.second] + e.first;
        pq.push(make_pair(-d[e.second], e.second));
      }
    }
  }
}

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

  rep(i, n) {
    seen[i] = false;
    d[i] = INF;
  }

  dijkstra(0);

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

  
  return 0;
}

C++: #include <map>
#include <set>
#include <list>
#include <cmath>
#include <queue>
#include <stack>
#include <cstdio>
#include <string>
#include <vector>
#include <complex>
#include <cstdlib>
#include <cstring>
#include <numeric>
#include <sstream>
#include <iostream>
#include <algorithm>
#include <functional>
  
#define mp       make_pair
#define pb       push_back
#define all(x)   (x).begin(),(x).end()
#define rep(i,n) for(int i=0;i<(n);i++)
  
using namespace std;
  
typedef    long long          ll;
typedef    unsigned long long ull;
typedef    vector<bool>       vb;
typedef    vector<int>        vi;
typedef    vector<vb>         vvb;
typedef    vector<vi>         vvi;
typedef    pair<int,int>      pii;
  
const int INF=1<<29;
const double EPS=1e-9;
  
const int dx[]={1,0,-1,0,1,1,-1,-1},dy[]={0,-1,0,1,1,-1,-1,1};



int main() {
    int N;
    cin >> N;
    std::vector<vector<int> > G(N, vector<int>(N, 100000000));
    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;
            G[u][v] = c;
        }
    }

    for (int i = 0; i < N; i++) {
        G[i][i] = 0;
    }

    for (int k = 0; k < N; k++) {
        for (int i = 0; i < N; i++) {
            for (int j = 0; j < N; j++) {
                G[i][j] = std::min(G[i][j], G[i][k] + G[k][j]);
            }
        }
    }

    for (int i = 0; i < N; i++) {
        cout << i << " " << G[0][i] << endl;
    }
    return 0;
}

C++: #include<iostream>
#include<algorithm>
#include<vector>
#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 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)); //PQはデフォルトで大きい値を優先するため-1かける
				color[v] = GRAY;

			}
		}

	}

	for (int i = 0; i < n; i++) {
		cout << i << " " << (d[i] == INFTY ? -1 : d[i]) << endl;
	}
}


int main() {
	cin >> n;

	int k, u, v, c;

	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<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 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] = GARY;

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] = GARY;
}
}
}

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;
}