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>
using namespace std;

#define rep(i, n) REP(i, 0, n)
#define REP(i,k,n) for(int i = k; i < n; i++)
#define mmax(start, end) *max_element(start, end)
#define mmin(start, end) *min_element(start, end)
#define argmax max_element
#define argmin min_element
#define push push_back
#define pop pop_back
#define ALL(x) (x).begin(), (x).end()

typedef long long ll;
typedef string str;

int dx[4] = {1, -1, 0, 0};
int dy[4] = {0, 0, 1, -1};

template<class T = ll> T in() {
    T _in;
    cin >> _in;
    return _in;
}

#define EMAX 100001

int cost[101][101];

int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);

    ll n=in();
    int d[101];

    rep(i, n) {
        rep(j, n) {
            cost[i][j] = EMAX;
        }
        d[i] = EMAX;
    }

    rep(i, n) {
        int u=in<int>(), k=in<int>();
        rep(j, k) {
            int v=in<int>(), c=in<int>();
            cost[u][v] = c;
        }
    }

    // ノード0からの距離を調べる
    d[0] = 0;
    bool flag = true;
    while(flag) {
        flag=false;
        // 移動する方法のある全ノードからの，次のノードへの移動コストを考える
        rep(i, n) {
            if(d[i] != EMAX) {
                rep(j, n) {
                    if(i == j)
                        continue;
                    int next_c = d[i] + cost[i][j];

                    // 更新できる場合更新
                    if(d[j] > next_c) {
                        d[j] = next_c;
                        flag=true;
                    }
                }
            }
        }
    }

    rep(i, n) {
        cout << i << " " << d[i] << endl;
        // rep(j, n) {
        //     cout << cost[i][j] << " ";
        // }
        // cout << endl;
    }

    return 0;
}

C++: #include "bits/stdc++.h"
using namespace std;
static const int MAX=100;
static const int INFTY=(1<<21);
static const int WHITE=0;
static const int GRAY=1;
static const int BLACK=2;

int n,M[MAX][MAX];

void dijkstra(){
	int minv;
	int d[MAX],color[MAX];

	for (int i = 0; i < n; ++i) {
		d[i]=INFTY;
		color[i]=WHITE;
	}
	d[0]=0;
	color[0]=GRAY;
	while(1){
		minv=INFTY;
		int u=-1;
		for (int i = 0; i < n; ++i) {
			if(minv>d[i]&&color[i]!=BLACK){
				u=i;
				minv=d[i];
			}
		}
	if(u==-1)break;
	color[u]=BLACK;
	for (int v = 0; v < n; ++v) {
		if(color[v]!=BLACK&&M[u][v]!=INFTY){
			if (d[v]>d[u]+M[u][v]) {
				d[v]=d[u]+M[u][v];
				color[v]=GRAY;
			}
		}
	}
}
for (int i = 0; i < n; ++i) {
	cout<<i<< " "<<(d[i]==INFTY?-1:d[i])<<endl;
}
}


int main(){
	cin>>n;
	for (int i = 0; i < n; ++i) {
		for (int j = 0; j < n; ++j) {
			M[i][j]=INFTY;
		}
	}
	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;
			M[u][v]=c;
		}
	}
	dijkstra();

	return 0;
}

C++: #include <iostream>
#include <algorithm>
#define N 110
#define INF 1000000;

int main(){
  int A[N][N];
  int n;
  std::cin >> n;

  //Initialization
  for(int i=0; i<n; i++){
    for(int j=0; j<n; j++){
      if( i==j ){ A[i][i] =0; }
      else A[i][j] = INF;
    }
  }

  //Input
  int u, k, v, c;
  for(int i=0; i<n; i++){
    std::cin >> u >> k;
    for(int j=0; j<k; j++){
      std::cin >> v >> c;
      A[u][v] = c;
    }
  }

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

  for(int i=0; i<n; i++){
    std::cout << i << " " << A[0][i] << std::endl;
  }
  return 0;
}

C++: #include <bits/stdc++.h>



using namespace std;



static const int INF = 999999;



int main(){

	int n,array[100][100];



	for(int i=0; i<100; i++){

		for(int j=0; j<100; j++){

			if(i==j) array[i][j]=0;

			else array[i][j]=INF;

		}

	}

	

	cin>>n;



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

		int u,k;

		cin>>u>>k;

		for(int j=0; j<k; j++){

			int t,c;

			cin>>t>>c;

			array[u][t]=c;

		}

	}



	int d[100];

	fill(d,d+n,INF);

	d[0]=0;

	bool flag[100]={};



	while(1){

		int u=-1,infn=INF;

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

			if(!flag[i] && d[i]<=infn){

				u = i;

				infn = d[u];

			}

		}

		if(u==-1) break;

		flag[u] = true;



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

			if(array[u][i]!=INF && !flag[i]){

				d[i] = min(d[i],d[u]+array[u][i]);

			}

		}

	}



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

		cout<<i<<" "<<d[i]<<endl;

	}



	return 0;

}

C++: #include<iostream>
using namespace std;
static const int MAX=100;
static const int INFTY=(1<<21);
static const int WHITE=0;
static const int GRAY=1;
static const int BLACK=2;

int n,M[MAX][MAX];

void dik(){
int min;
int d[MAX],color[MAX];

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

d[0]=0;
color[0]=GRAY;
while(1){
min=INFTY;
int u=-1;
for(int i=0;i<n;i++){
if(min>d[i]&&color[i]!=BLACK){
u=i;
min=d[i];
}
}
if(u==-1)break;
color[u]=BLACK;
for(int v=0;v<n;v++){
if(color[v]!=BLACK&&M[u][v]){
if(d[v]=d[u]+M[u][v]){
color[v]=GRAY;
}
}
}
}
for(int i=0;i<n;i++){
cout << i <<" "<<(d[i]==INFTY ? -1 : d[i])<<endl;
}
}

int main(){
cin >> n;
for(int i=0;i<n;i++){
for(int j=0;j<n;j++){
M[i][j]=INFTY;
}
}

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;
M[u][v]=c;
}
}

dik();

return 0;
}