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<cstdio>
#include<iostream>
#include<algorithm>
#include<cstring>
using namespace std;
const int inf=0x3f3f3f3f;
int map1[109][109];
int flag[109];
int result[109];
int main(){
    int n;
    int u,v,w,k;
    while(scanf("%d",&n)!=EOF){
        for(int i=0;i<n;i++)
            for(int j=0;j<n;j++)
                if(i==j)
                    map1[i][j]=0;
                else
                    map1[i][j]=inf;
        for(int i=0;i<n;i++){
            scanf("%d%d",&u,&k);
            for(int j=0;j<k;j++){
                scanf("%d%d",&v,&w);
                if(map1[u][v]>w)
                    map1[u][v]=w;
            }
        }
        u=108;
        memset(flag,0,sizeof(flag));
        flag[0]=1;
        for(int i=0;i<n;i++)
            result[i]=map1[0][i];
        for(int i=0;i<n;i++){
            int minn=inf;
            for(int j=0;j<n;j++)
                if(!flag[j]&&result[j]<minn){
                    minn=result[j];
                    u=j;
                }
                flag[u]=1;
                for(int k=0;k<n;k++)
                    if(map1[u][k]!=inf&&result[k]>result[u]+map1[u][k])
                        result[k]=result[u]+map1[u][k];
        }
        for(int i=0;i<n;i++)
            printf("%d %d\n",i,result[i]);



    }
    return 0;
}

C++: #include <stdio.h>
#include <iostream>
#include <queue>
#include <list>
using namespace std;

#define NODE_NUM 100

class Node
{
private:
	//int next_node_list[NODE_NUM];
	list<int> next_node_list;
	//int next_node_num;
	//int next_weight_list[NODE_NUM];
	list<int> next_weight_list;
public:
	Node();
	void AddNextNode(int id, int weight);
	void SetWeight(int weight);
	void DistributeWeight();
	int id;
	int weight_from_0;
	bool check;
};

Node::Node()
{
	//next_node_num = 0;
	weight_from_0 = -1;
	check = false;
}

Node *Node_list;

struct GreatNode
{
	bool operator()(const Node *n1, const Node *n2) const {
		return n1->weight_from_0 > n2->weight_from_0;
	}
};
priority_queue<Node*, vector<Node*>, GreatNode > que;

void Node::AddNextNode(int id, int weight)
{
	//next_node_list[next_node_num] = id;
	next_node_list.push_back(id);
	//next_weight_list[next_node_num] = weight;
	next_weight_list.push_back(weight);
	//next_node_num++;
}

void Node::SetWeight(int weight)
{
	if (weight_from_0 == -1 || weight < weight_from_0) {
		weight_from_0 = weight;
	}
}

void Node::DistributeWeight()
{
	check = true;
	/*for (int i = 0; i < next_node_num; i++) {
		if (Node_list[next_node_list[i]].check == false) {
			Node_list[next_node_list[i]].SetWeight(weight_from_0 + next_weight_list[i]);
			que.push(Node_list[next_node_list[i]]);
		}
	}*/
	list<int>::iterator itr2 = next_weight_list.begin();
	for(list<int>::iterator itr = next_node_list.begin(); itr != next_node_list.end(); itr++){	
		if (Node_list[*itr].check == false) {
			Node_list[*itr].SetWeight(weight_from_0 + *itr2);
			que.push(&Node_list[*itr]);
		}
		itr2++;
	}
}

int main(void)
{
	//input
	int n;
	cin >> n;
	Node_list = new Node[n]();
	for (int i = 0; i < n; i++) {
		Node_list[i].id = i;
		int u, k;
		cin >> u >> k;
		for (int j = 0; j < k; j++) {
			int v, c;
			cin >> v >> c;
			Node_list[i].AddNextNode(v, c);
		}
	}

	//weight from 0 ?
	Node_list[0].check = true;
	Node_list[0].weight_from_0 = 0;
	Node_list[0].DistributeWeight();
	while (!que.empty()) {
		Node *node = que.top();
		que.pop();
		node->DistributeWeight();
	}

	//output
	for (int i = 0; i < n; i++) {
		cout << i << " " << Node_list[i].weight_from_0 << endl;
	}
	
	return 0;
}

C++: #include<iostream>
#include<iomanip>
#include<map>
#include<set>
#include<string>
#include<algorithm>
#include<cmath>
#include<vector>
#include<queue>
#include<stack>
#include<cstring>
#include<sstream>
using namespace std;
 
#define P(p) cout<<(p)<<endl
#define rep(i,m,n) for(int i = (m); i < (int)(n); i++)
#define rrep(i,m,n) for(int i=(int)(m); i>=(int)(n); i--)
#define vsort(v) sort(v.begin(), v.end());
#define rvsort(v) sort(v.begin(), v.end(),greater<int>());
#define YES cout<<"YES"<< endl
#define NO cout<<"NO"<<endl
#define Yes cout<<"Yes"<<endl
#define No cout<<"No"<<endl  
#define yes cout<<"yes"<<endl
#define no cout<<"no"<<endl
#define ret return
#define lb(v,n) lower_bound(v.begin(),v.end(),n)
#define ub(v,n) upper_bound(v.begin(),v.end(),n)
#define mae(v) max_element(v.begin(),v.end())
#define mie(v) min_element(v.begin(),v.end())
#define INF 0x7FFFFFFF
////////////////////////////////////////////////////////////
const int MAX_V = 100;
typedef struct edge_{int to,cost;}edge;
typedef pair<int,int> P; 	//firstは最短経路,secondは頂点番号
int V; 										//頂点数
vector<vector<edge>> G(MAX_V);
int dp[MAX_V];

void dijkstra( int s ){
	//最短経路の値の小さいものから取り出せる
	priority_queue<P,vector<P>,greater<P>> que;
	for(int i = 0 ; i < V ; i++ ) dp[i] = INF;
	dp[s] = 0;
	que.push(pair<int,int>(0,s));
	while(!que.empty()){
		P p = que.top();
		que.pop();
		int v = p.second;
		if( dp[v] > p.first ) continue;
		for(int i = 0 ; i < G[v].size() ; i++ ){
			edge e = G[v][i];
			//cout << "here:" << i << " to:" << e.to << " cost:" << e.cost << endl;
			if( dp[e.to] > dp[v] + e.cost ){
				dp[e.to] = dp[v] + e.cost;
				que.push(pair<int,int>(dp[e.to],e.to));
			}
		}
	}
	return;
}
int main(){
	cin >> V;
		
	rep(i,0,V){
		int u,k;
		cin >> u >> k;
		rep(j,0,k){
			int v,c;
			cin >> v >> c;
			G[i].push_back(edge{v,c});
		}
	}
	
	dijkstra(0);

	rep(i,0,V){
		cout << i << " " << dp[i] << endl;
	}
	cout << endl;

	ret 0;
}