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"algorithm"
#include"cstdio"
#include"cstring"
#include"string"
#include"vector"
#include"queue"
#include"map"
#include"set"
#include"stack"
#include"cmath"
using namespace std;
#define INF 0xfffffff
const int maxn = 100000 + 10;
const int maxm = 500000 + 10;
int n, m;
int s,t;
int fir[maxn], nxt[maxm], to[maxm], val[maxm], cnt;
void add_edge(int u, int v, int w)
{
    nxt[++cnt] = fir[u];
    fir[u] = cnt;
    to[cnt] = v;
    val[cnt] = w;
}
struct Node 
{
    int d, id;
    Node(){}
    Node(int d, int id) : d(d), id(id){}
    bool operator < (const Node& rhs) const
      {
        return d > rhs.d;
      }
};
int dis[maxn], vis[maxn];
void Dijkstra(int s)
{
    for(int i = 1; i <= n; i++) dis[i] = INF;
    dis[s]=0;
    priority_queue<Node> Q;
    Q.push(Node(0,s));
    while(!Q.empty()) 
      {
        Node u = Q.top(); Q.pop();
        if(vis[u.id]) continue;
        vis[u.id] = 1;
        for(int e = fir[u.id]; e; e = nxt[e]) 
          {
            int v = to[e], w = val[e];
            if(u.d + w < dis[v]) 
              {
                dis[v] = u.d + w;
                Q.push(Node(dis[v],v));
              }
          }
      }
}
int main()
{
		cin >> m;
		for(int i=0; i<m; i++)
        {
			int k;
			memset(dis,0,sizeof(dis));
			memset(vis,0,sizeof(vis));
			scanf("%d%d",&n,&k);
			for(int j=0;j<k;j++)
			{
            int  b, c;
            cin >> b >> c;
            add_edge(n,b,c);
			}
			Dijkstra(0);
			printf("%d %d\n",n,dis[n]);
        }
    return 0;
}

C++: // ダイクストラ法
// Dijkstra's Algorithm
// Single Source Shortest Path 1 単一始点最短経路
#include <iostream>
#include <cstring>
#include <algorithm>
#include <queue>
#include <stack>
#include <cstdio>
#include <cstdlib>
#include <vector>
using namespace std;

static const int MAX = 100;
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 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;
        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] != 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() {

    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 "bits/stdc++.h"
using namespace std;
static const int MAX=10000;
static const int INFTY=(1<<21);
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(){
	cin>>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;
			adj[u].push_back(make_pair(v,c));
		}
	}
	dijkstra();
	return 0;
}

C++: #include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> P;
constexpr int di[] = {0, 1, 0, -1}, dj[] = {1, 0, -1, 0};
#define rep(i, n) for (int i = 0; i < n; i++)
#define repr(i, n) for (int i = n; i >= 0; i--)
#define sort(v) sort((v).begin(), (v).end())
#define sortr(v) sort((v).rbegin(), (v).rend())
#define all(v) (v).begin(), (v).end()
#define max 100005
#define nil -1
constexpr int inf = 100000000;

struct edge{
    int from,to,cost;
};

vector<edge> es;
vector<int> d;
int n;

void be(int s){
    d.resize(max);
   fill(d.begin(),d.end(),inf);
   d[s]=0;
   while(true){
       bool update=false;
       for(int i=0;i<es.size();i++){
           edge e=es[i];
           if(d[e.from]!=inf&&d[e.from]+e.cost<d[e.to]){
               d[e.to]=d[e.from]+e.cost;
               update=true;
           }
       }
       if(!update){
           break;
       }
   }
}

int main() {
  int  u,k,v,c;
  cin>>n;
    d.resize(n);
  rep(i,n){
      cin>>u>>k;
      for(int j=0;j<k;j++){
          cin>>v>>c;
          es.push_back({u,v,c});
        }
    }
    be(0);
    rep(i,n){
        cout<<i<<" "<<d[i]<<endl;
    }
  return 0;
}