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;
int MOD = 1000000007;

struct edge {int to, cost; };
using P = pair<int , int>;
int V;
vector <edge> G[100010];
int d[100010];

void dijkstrra(int s){
    priority_queue <P, vector<P>, greater<P> > que;
    fill(d, d + V, 1000000000);
    d[s] = 0;
    que.push(P(0 , s));
    
    while(!que.empty()){
        P p = que.top(); que.pop();
        int v = p.second;
        if(d[v] < p.first)  continue;
        for(int i = 0; i < G[v].size(); i++){
            edge e = G[v][i];
            if(d[e.to] > d[v] + e.cost){
                d[e.to] = d[v] + e.cost;
                que.push(P(d[e.to], e.to));
            }
        }
    }
}

int main(){
    int n;
    cin >> n;
    V = n;
    for(int i = 0; i < n; i++){
        int u, k;
        cin >> u >> k;
        int v,c;
        for(int i = 0; i < k; i++){
            cin >> v >> c;
            G[u].push_back(edge{v, c});
        }
    }
    dijkstrra(0);
    for(int i = 0; i < n; i++)
        cout << i << " " << d[i] << endl;
    return 0;
}

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

using namespace std;

int main() {
  int n; cin >> n;
  vector< pair<int, int> > adj[n];
  
  for(int i = 0; i < n; i++) {
    int ix, nn; cin >> ix >> nn;
    for(int j = 0; j < nn; j++) {
      int v, c; cin >> v >> c;
      adj[ix].push_back(make_pair(c, v));
    }
  }

  int inf = 10000000;
  int ans[n];
  fill(ans, ans+n, inf);

  ans[0] = 0;
  int ix = 0, sd[n] = {1};
  while(true) {

    for(int i = 0; i < adj[ix].size(); i++) {
      int cost = ans[ix] + adj[ix][i].first;
      int k = adj[ix][i].second;

      if(cost < ans[k]) {
        ans[k] = cost;
        sd[k] = 0;
      }

    }

    sd[ix] = 1;
    ix = -1;
    for(int i = 0; i < n; i++) {
      if(sd[i] == 0 && (ix == -1 || ans[ix] > ans[i])) {
        ix = i;
      }
    }
    if(ix == -1) {
      break;
    }
  }

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

C++: /*
 * Problem Description: Graph II - Single Source Shortest Path I
 * Category: Graph/Dijkstra
 * Author: Khan
 * Date: 22th October, 2017
 */

#include <iostream>

using namespace std;

static const int MAX = 1000;
static const int INF = (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 u, minv;
    int d[MAX], color[MAX];

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

    d[0] = 0;
    color[0] = GRAY;
    while(true)
    {
        minv = INF;
        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] != INF)
            {
                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] == INF ? -1 : d[i]) << endl;
}

int main(int argc, char const *argv[])
{
    //freopen("sample.txt", "r", stdin);
    cin >> n;
    for (int i = 0; i < n; ++i)
        for (int j = 0; j < n; ++j)
            M[i][j] = INF;
    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>
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;
}

color[0] = GRAY;
d[0] = 0;

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>
#define MAX 100100
#define WHITE 0
#define BLACK 1

int main() {
  int n;
  std::cin >> n;
  int d[110];
  int color[110];

  int G[110][110];
  for(int i=0; i<n; ++i) {
    for(int j=0; j<n; ++j) G[i][j] = MAX;
  }

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

  for(int i=0; i<n; ++i) {
    int u, k;
    std::cin >> u >> k;
    for(int j=0; j<k; ++j) {
      int to, w;
      std::cin >> to >> w;
      G[u][to] = w;
    }
  }

  d[0] = 0;

  // colorも変更する?

  while(true) {
    int u;
    int minicost = MAX;

    // d[s]が最小になる点を選ぶ
    for(int i=0; i<n; ++i) {
      if(d[i] < minicost && color[i] != BLACK) {
        minicost = d[i];
        u = i;
      }
    }

    if(minicost == MAX) break;
    color[u] = BLACK;

    for(int v=0; v<n; ++v) {
      if(d[u] + G[u][v] < d[v]) {
        d[v] = d[u] + G[u][v];
        //p[u] = u;
      }
    }
  }

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