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>
#define FOR(i, m, n) for(int i = m;i < n;i++)
#define REP(i,n) for(int i=0;i<n;i++)
#define FORq(i, m, n) for(int i = m;i <= n;i++)
#define SCD(n) scanf("%d",&n)
#define SCD2(m,n) scanf("%d%d",&m,&n)
#define PRINTD(n) printf("%d\n",n)
#define DEBUG printf("%s\n","debug")
using namespace std;
//////////////////////////////////////////////////////
//http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=ALDS1_12_B&lang=jp
struct Vertex {
	// edge information
	vector<int> edges_to; //to vertex number
	vector<int> edges_cost; // edge cost
	
	//for dijkstra
	bool done; //conform or not
	int cost; // now cost
	
	bool operator<(const Vertex& another) const { // priority --> min
        return another.cost < cost; // order(cost)
    }
	
	bool operator==(const Vertex& another) const {
        return another.cost == cost; // order(cost)
    }
};

const int V_MAX = 10003;
struct Vertex v[V_MAX];


int main(){
	priority_queue<Vertex>Q;
	int n; // vertex 0-indexed
	SCD(n);
	REP(i,n){ // 0-indexed
		int u,k;
		SCD2(u,k);
		REP(j,k){
			int nv,c; // to edge , its cost
			SCD2(nv,c);
			v[u].edges_to.push_back(nv);
			v[u].edges_cost.push_back(c);
		}
	}
	
	REP(i,n){
		v[i].done = false;
		v[i].cost = -1;
	}
	
	v[0].cost = 0; //start
	Q.push(v[0]);
	
	while (!Q.empty()){
		Vertex nowV = Q.top(); Q.pop();
		nowV.done = true;
		
		REP(i,nowV.edges_to.size()){
			int nto = nowV.edges_to[i];
			int ncost = nowV.cost + nowV.edges_cost[i];
			if (((v[nto].cost) < 0) or (ncost < v[nto].cost)){  //not visited or required refresh
				v[nto].cost = ncost;
				Q.push(v[nto]);
			
			}
			
		}
	}
	
	REP(i,n){ // output
		printf("%d %d\n",i,v[i].cost);
	}
	
	
}

C++: #include <stdio.h>
#include <iostream>
#include <vector>
#include <tuple>
using namespace std;

#define NUM 100
#define NIL -1
#define INF 1000000000
#define WHITE 0
#define BLACK 1
int node_num;
vector<tuple<int, int>> G[NUM];
int V[NUM];
int color[NUM];

void init(void){
    scanf("%d", &node_num);

    for(int i = 0; i < node_num; i++){
        int u, k;
        scanf("%d", &u);
        scanf("%d", &k);

        for(int j = 0; j < k; j++){
            int v_, c;
            scanf("%d", &v_);
            scanf("%d", &c);
            G[u].push_back(make_tuple(v_, c));
        }
    }

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

void updateAround(int n){
    color[n] = BLACK;
    for(int i = 0; i < G[n].size(); i++){
        V[get<0>(G[n][i])] = min(V[get<0>(G[n][i])], V[n] + get<1>(G[n][i]));
    }

    int min_index = NIL;
    int min_value = INF;
    for(int i = 0; i < node_num; i++){
        if(color[i] == BLACK){
            continue;
        }
        if(V[i] < min_value){
            min_value = V[i];
            min_index = i;
        }
    }
    if(min_index != NIL){
        updateAround(min_index);
    }
}

int main(void){
    init();

    V[0] = 0;
    updateAround(0);

    for(int i = 0; i < node_num; i++){
        printf("%d %d\n", i, V[i]);
    }
}