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<queue>
#include<vector>
using namespace std;

static const int MAX = 10000;
static const int INF = (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(){
    int color[MAX], d[MAX];

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

    d[0] = 0;

    // pair<vに到達するまでのスコア、v>
    priority_queue<pair<int,int>> pq;
    pq.push({0,0});
    color[0] = GRAY;

    while(!pq.empty()){
        pair<int,int> p = pq.top(); pq.pop();
        int u = p.second;
        
        color[u] = BLACK;
        if(d[u] < p.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;
                pq.push({d[v]*(-1), v});
                color[v] = GRAY;
            }
        }
    }

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

int main(){
   int u, k, 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({v,c});
       }
   }

   dijkstra();

   return 0;
}

C++: #include <iostream>
#include <fstream>
#include <stdio.h>
#include <algorithm>
#include <queue>

using namespace std;

static const int MAX = 1000000;
static const int INFTY = (1 << 21);

int n;
vector<pair<int, int> > M[MAX];

void dijkstr(){
    int d[MAX];
    priority_queue<pair<int, int>,vector<pair<int, int> >, greater<pair<int, int> > > pq;
    fill(d, d+n, INFTY);
    
    pq.push(make_pair(0, 0));
    
    while(!pq.empty()){
        pair<int, int> f = pq.top(); pq.pop();
        int u = f.second;
        if(d[u] != INFTY) continue;
        d[u] = f.first;
        for(int i=0; i<M[u].size(); i++){
            pq.push(make_pair(f.first+M[u][i].first, M[u][i].second));
        }
    }
    
    for(int i=0; i<n; i++)
        cout << i << " " << d[i] << endl;
    
}


int main(int argc, const char * argv[]) {
    // input from txt
    /////////
    //write//
    /////////
    
    cin >> n;
    int u, k ,v, c;
    
    for(int i=0; i<n; i++){
        cin >> u >> k;
        for(int j=0; j<k; j++){
            cin >> v >> c;
            M[u].push_back(make_pair(c, v));
        }
    }
    
    dijkstr();
    
    return 0;
}

C++: #include <bits/stdc++.h>
using namespace std;

#define MAX 10000
#define INF (1<<29)

struct Edge{
  int c, to;
};

struct state{
  int node, c;
  bool operator <(const state &b)const{
    return c > b.c;
  }
};

int n;
int d[MAX+1];
vector<Edge> G[MAX+1];
priority_queue<state> q;

void dijkstra(){

  fill(d,d+MAX+1,INF);
  q.push((state){0,0});
  d[0] = 0;

  while(!q.empty()){

    state info;
    info = q.top();
    q.pop();

    for(int i = 0; i < G[info.node].size(); i++){
      if(d[G[info.node][i].to] > G[info.node][i].c + d[info.node]){
        d[G[info.node][i].to] = G[info.node][i].c + d[info.node];
        q.push((state){G[info.node][i].to,d[info.node]});
      }
    }
  }

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



}

int main(){

  cin >> n;
  for(int i = 0; i < n; i++){
    int k, v, cc, u;
    cin >> u >> k;
    for(int j = 0; j < k; j++){
      cin >> v >> cc;
      G[u].push_back((Edge){cc,v});
    }
  }

  dijkstra();

}

C++: #include<iostream>
#include<cstdio>
#include<string>
#include<algorithm>
#include<vector>

#define INF 2000000001
#define MAX 10001
#define NIL -1

using namespace std;

typedef struct {
    int toid;
    int far;
} PATH;

vector<PATH> D[MAX];
int N;
int Dist[MAX];

void dijkstra(){//0??????????????¢??????????????£?????????
    
    bool complete[MAX];
    vector<int> S;
    
    for (int i = 0; i < N; i++) {
        complete[i] = false;
        Dist[i] = INF;
    }
 
    //???????¨????
    Dist[0] = 0;
    S.push_back(0);
    int u=0,minf;
    complete[u] = true;
    
    while (1) {
        if (S.size() == N) break;
        
        //????????????
        for (int j = 0; j < D[u].size(); j++) {
            if (!complete[D[u][j].toid] && Dist[u] + D[u][j].far < Dist[D[u][j].toid]) {
                Dist[D[u][j].toid] = Dist[u] + D[u][j].far;
            }
        }
        
        
        
        u = NIL;
        minf = INF;
        
        //?¨??????´??°
//        for (int i = 0; i < S.size(); i++) {
//            
//            for (int j = 0; j < D[S[i]].size(); j++) {
//                if (Dist[D[S[i]][j].toid] < minf && !complete[D[S[i]][j].toid]) {
//                    minf = Dist[D[S[i]][j].toid];
//                    u = D[S[i]][j].toid;
//                }
//            }
//            
//        }
        
        for (int i = 0; i < N; i++) {
            if (!complete[i] && Dist[i] < minf) {
                minf = Dist[i];
                u = i;
            }
        }
        
        S.push_back(u);
        complete[u] = true;
        //u = S.size()-1;//????????§u????????§??¨????????????????????????
    }
}

int main(){
    cin >> N;
    for (int i = 0; i < N; i++) {
        int bb1,bb2;
        cin >> bb1 >> bb2;
        for (int j = 0; j < bb2; j++) {
            PATH bb3;
            cin >> bb3.toid >> bb3.far;
            D[i].push_back(bb3);
        }
    }
    
    dijkstra();
    
    for (int i = 0; i < N; i++) {
        printf("%d %d\n",i,Dist[i]);
    }
    
    return 0;
}