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 <utility>
#include <vector>
#include <climits>
using namespace std;

static const int MAX_N = 100;

void dijkstra(vector<vector<pair<int, int> > > way)
{
    int d[way.size()];
    bool on[way.size()];
    for (int i = 0; i < way.size(); i++) {
        d[i] = INT_MAX;
        on[i] = false;
    }
    d[0] = 0;
    while (1) {
//        cout << "d:";
//        for (int i = 0; i < way.size(); i++) {
//            cout << " " << d[i];
//        }
//        cout << endl;
        int u, minv = INT_MAX;
        for (int i = 0; i < way.size(); i++) {
            if (minv > d[i] && !on[i]) {
                minv = d[i];
                u = i;
            }
        }
        if (minv == INT_MAX) break;
        on[u] = true;
        for (auto itr = way.at(u).begin(); itr != way.at(u).end(); ++itr) {
            if (!on[itr->first]) {
                d[itr->first] = min(d[itr->first], d[u] + itr->second);
            }
        }
    }
    for (int i = 0; i < way.size(); i++) {
        cout << i << " " << d[i] << endl;
    }
}

int main()
{
    int n;
    cin >> n;
    vector<vector<pair<int, int> > > way(n);
    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;
            way.at(u).push_back(make_pair(v, c));
        }
    }
    dijkstra(way);
    return 0;
}

C++: #include<bits/stdc++.h>
#define ll long long
using namespace std;
const int INF = 0x3f3f3f;
int a[300][300];
int vis[300];	//标记是否访问过 
int path[300];	//从起点到该点的距离 
int n;
void Dijkstra(int s)
{
	int min,pos;
	
	memset(vis,0,sizeof(vis));
	
	path[s] = 0;
	vis[s]  = 1;
	
	for(int i = 0; i < n; i++)
	{
		path[i] = a[s][i];
	}
	
	for(int i = 1; i < n; i++)
	{
		min = INF;
		for(int j = 0; j < n; j++)
		{
			if( path[j] < min && !vis[j])
			{
				pos = j;
				min = path[j];
			}
		}
		
		vis[pos] = 1;
		
		for(int j = 0;j < n;j++)
		{
			if(path[pos] + a[pos][j] < path[j] && !vis[j])
			{
				path[j] = path[pos] + a[pos][j];
			}
		}
	}
}

int main()
{
	int m;
	while(scanf("%d",&n)!=EOF)
	{
		for(int i=0;i<n;i++)
		{
			for(int j=0;j<n;j++)
			{
				a[i][j] = INF;
			}
			
			a[i][i] = 0;
		}
		
		for(int i = 0;i<n;i++)
		{
			int x,y,k,l;
			scanf("%d%d",&x,&k);
			
			for(int j=0;j<k;j++)
			{
				scanf("%d%d",&y,&l);
				
				if(a[x][y] > l)
				{
					a[x][y] = l;
				//	a[y][x] = l;
				}
			}
		}
			
			
			
		Dijkstra(0);
		
		for(int i=0;i<n;i++)
		{
			printf("%d %d\n",i,path[i]);
		}
				
	}

}

C++: #include<iostream>
#include<vector>
#include<algorithm>
#define MAX_V 100
#define INF 1e9
using namespace std;
int cost[MAX_V][MAX_V];
int d[MAX_V];
bool used[MAX_V];
int V;//頂点数

void dijkstra(int s)
{
	for (int i = 0; i < MAX_V; i++)
	{
		d[i] = INF;
		used[i] = false;
	}
	d[s] = 0;

	while (true)
	{
		int v = -1;
		for (int u = 0; u < V; u++)
		{
			if (!used[u] && (v == -1 || d[u]<d[v]))
			{
				v = u;
			}
		}
		if (v == -1)
		{
			break;
		}
		used[v] = true;

		for (int u = 0; u < V; u++)
		{
			d[u] = min(d[u], d[v] + cost[v][u]);
		}
	}
	

}




int main()
{
	for (int i = 0; i < MAX_V; i++)
	{
		for (int j = 0; j < MAX_V; j++)
		{
			cost[i][j] = INF;
		}
	}
	cin >> V;
	for (int i = 0; i < V; i++)
	{
		int u;//頂点番号
		cin >> u;
		int k;//出次数
		cin >> k;
		for (int j = 0; j < k; j++)
		{
			int v;
			cin >> v;
			int c;
			cin >> c;
			cost[u][v] = c;
	    }

	}

	dijkstra(0);

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

C++: #include <iostream>
#include <vector>
#include <queue>
const int inf=1e9;
using namespace std;
int main(){

  int n,now=0;
  priority_queue < pair<int,int>, vector<pair<int,int> >, greater<pair<int,int> > > g[100000];
  cin>>n;
  for(int i=0,u,k,v,c;i<n&&cin>>u>>k;i++) for(int j=0;j<k&&cin>>v>>c;j++) g[u].push(make_pair(c,v));
  int flag[100]={},c[100]={};
  for(int i=1;i<n;i++) c[i]=inf;
  for(int i=0;i<n;i++){
    int next=g[now].top().second,cnt=0;
    for(;!g[now].empty();g[now].pop()) if(!flag[g[now].top().second]){
        c[g[now].top().second]=min(c[g[now].top().second],c[now]+g[now].top().first);
        if(!cnt) next=g[now].top().second;
        cnt++;
      }
    flag[now]=1;
    now=next;
  }
  for(int i=0;i<n;i++) cout<<i<<" "<<c[i]<<endl;
  return 0;

}

C++: #include<bits/stdc++.h>
using namespace std;
#define int long long
int e[111][111],d[111];
int used[111];
signed main(){
  int n;
  cin>>n;
  int INF=1LL<<55LL;
  for(int i=0;i<n;i++)
    for(int j=0;j<n;j++)
      e[i][j]=INF;
  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;
      e[u][v]=min(e[u][v],c);
    }
  }
  memset(used,0,sizeof(used));
  for(int i=0;i<n;i++) d[i]=INF;
  d[0]=0;
  while(1){
    int u=-1;
    for(int i=0;i<n;i++){
      if(used[i]) continue;
      if(d[i]==INF) continue;
      if(u<0||d[i]<d[u]) u=i;
    }
    if(u<0) break;
    used[u]=1;
    for(int i=0;i<n;i++){
      d[i]=min(d[i],d[u]+e[u][i]);
    }
  }
  for(int i=0;i<n;i++) cout<<i<<" "<<d[i]<<endl;
  return 0;
}