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<iostream>
#include<cstdio>
#include<cstring>
#define INF 1<<20
using namespace std;
int n;
int A[1000][1000];
int d[1000];
bool used[1000];
int D[1000][1000];

void Init(int f){
  for(int i=0;i<f;i++){
    for(int j=0;j<f;j++)D[i][j] = INF;
  }

}

int main(){
  scanf("%d",&n);
  int u,k,C,V;
  Init(n);
 
  for(int i=0;i<n;i++){
      scanf("%d %d",&u,&k);     
      for(int j=0;j<k;j++){
	scanf("%d %d",&V,&C);
	D[u][V] = C;
	D[V][u] = C;
      }     
  }
  
  for(int i=0;i<n;i++)D[i][i] = 0;
  for(int k=0;k<n;k++)for(int i=0;i<n;i++)for(int j=0;j<n;j++)D[i][j] = min(D[i][j],D[i][k] + D[k][j]); 
  for(int i=0;i<n;i++){
    printf("%d %d\n",i,D[0][i]);
  }

  return 0;
}

C++: #include <iostream>
#include <stack>
#include <vector>
#include <cmath>
#include <algorithm>
#include <queue>
#include <cstring>
#include <string.h>
#include <cstdio>
#include <numeric>
#include <string.h>
#include <set>
#include <map>
#define ll long long
using namespace std;
#define mem(a) memset(a,0,sizeof(a))
#define mec(b,a) memcpy(b,a,sizeof(a))

const ll inf = 0x3f3f3f3f;
const int maxn = 1000;

int data[maxn][maxn];
int n;

void dijkstra(){
	int i,j,min,v;
	int d[maxn];
	bool vis[maxn];
 
	for(i=0;i<n;i++){
		vis[i]=0;
		d[i]=data[0][i];
	}
 
	for(i=0;i<n;i++){
		min=inf;
		for(j=0;j<n;j++)
			if(!vis[j] && d[j]<min){
				v=j;
				min=d[j];
			}
		vis[v]=1;
 
		for(j=0;j<n;j++)
			if(!vis[j] && d[j]>data[v][j]+d[v])
				d[j]=data[v][j]+d[v];
	}
	for(int i=0; i<n; i++){
		cout<<i<<" "<<d[i]<<endl;
	}
}

int main(){
	cin>>n;
	for(int i=0; i<n; i++){
		for(int j=0; j<n; j++){
			if(i==j){
				data[i][j] = 0;
			}else{
				data[i][j] = data[j][i] = inf;
			}
		}
	}
	for(int i=0; i<n; i++){
		int start,m;
		cin>>start>>m;
		for(int j=0; j<m; j++){
			int end,weight;
			cin>>end>>weight;
			data[start][end] = data[end][start] = min(data[start][end],weight);
		}
	}
	
	dijkstra();
	 
	
    return 0;
}

C++: #include <iostream>
#include <algorithm>
#include <queue>
#include <vector>
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;
                //priority_queue ?????????????????§??????????????????-1
                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();
}

C++: #include <stdio.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];

int dijkstra(int s) {
    int d[n], p[n];
    int color[n];
    
    for(int i=0; i<n; i++) {
        color[i] = WHITE;
        d[i] = INFTY;
        p[i] = -1;
    }
    
    d[s] = 0;
    
    while(1) {
        int u;
        int mincost = INFTY;
        for (int i=0; i<n; i++) {
            if (color[i] != BLACK && d[i] < mincost) {
                mincost = d[i];
                u = i;
            }
        }
        
        if (mincost == INFTY) break;
        
        color[u] = BLACK;
        
        for (int v=0; v<=n; v++) {
            if (color[v] != BLACK && M[u][v] != INFTY) {
                if(d[u] + M[u][v] < d[v]) {
                    d[v] = d[u] + M[u][v];
                    p[v] = u;
                    color[v] = GRAY;
                }
            }
        }
    }
    
    int sum = 0;
    for (int i=0; i<n; i++) {
        sum += d[i];
    }
    return sum;
}

int main() {
    scanf("%d", &n);
    for (int i=0; i<n; i++) {
        for (int j=0; j<n; j++) {
            int tmp;
            scanf("%d", &tmp);
            M[i][j] = (tmp == -1) ? INFTY : tmp;
        }
    }
    
    int sum = dijkstra(0);
    printf("%d\n", sum);
    
    return 0;
}

C++: #include<bits/stdc++.h>
#define to first
#define wgt second 

using namespace std;

typedef pair<int,int> pii;
typedef vector<pii> vec;
typedef vector<vec> Graph;

Graph G(11000);
int n,d[11000];

void SPFA()
{
	bool used[11000];
	queue<int> que;
	memset(used,false,sizeof(used));
	fill(d,d+n,INT_MAX);
	d[0]=0;
	que.push(0);
	while(!que.empty())
	{
		int u=que.front();que.pop();
		for(int i=0;i<G[u].size();i++)
			if(d[G[u][i].to]>d[u]+G[u][i].wgt)
			{
				d[G[u][i].to]=d[u]+G[u][i].wgt;
				que.push(G[u][i].to);
			}
	}
}

int main()
{
	scanf("%d",&n);
	for(int i=0;i<n;i++)
	{
		int u,t;
		scanf("%d%d",&u,&t);
		for(int j=0;j<t;j++)
		{
			int v,w;
			scanf("%d%d",&v,&w);
			G[u].push_back(make_pair(v,w));
		}
	}
	SPFA();
	for(int i=0;i<n;i++)
		printf("%d %d\n",i,d[i]);
	return 0;
}