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>
using namespace std;
#define M 10000
#define  INF 1<<20
int n;
vector<pair<int,int > > a[M];
void dijkstra(){
	priority_queue<pair<int,int> > Q;
	bool col[M];
	int d[M];
	for(int i=0;i<n;i++){
		col[i]=0;
		d[i]=INF;
	}
	d[0]=0;
	Q.push(make_pair(0,0));
	while(!Q.empty()){
		pair<int,int>f=Q.top();Q.pop();
		int u=f.second;col[u]=1;
		if(d[u]<f.first*(-1))continue;
		for(int j=0;j<a[u].size();j++){
			int v=a[u][j].first;
			if(col[v])continue;
			if(d[v]>d[u]+a[u][j].second){
				d[v]=d[u]+a[u][j].second;
				Q.push(make_pair(d[v]*(-1),v));
			}
		}
	}
	for(int i=0;i<n;i++)cout<<i<<' '<<(d[i]==INF?-1:d[i])<<endl;
}
int main() {
	int k,u,v,c;
	cin>>n;
	for(int i=0;i<n;i++){
		cin>>u>>k;
		for(int j=0;j<k;j++){
			cin>>v>>c;
			a[u].push_back(make_pair(v,c));
		}
	}
	dijkstra();
}

C++: #include <iostream>
#include <climits>
#include <vector>
using namespace std;
typedef unsigned short ushort;
typedef vector <int> vi;
typedef vector <vi> vvi;

class blanch{
	public:
		bool visited;
		int distance;
		ushort from;
};
typedef vector <blanch> vb;

int make_graph(vvi &graph, vb &nodes){
	int n=graph.size();
	for (int i=0; i<n; i++){
		for (int j=0; j<n; j++){
			graph[i][j]=-1;
		}
		nodes[i].visited = false;
		nodes[i].distance = INT_MAX;
	}

	for (int i=0; i<n; i++){
		int i2,n2;
		cin>>i2;
		cin>>n2;
		for (int j=0; j<n2; j++){
			int j2;
			cin>>j2;
			cin>>graph[i2][j2];
		}
	}
	return 0;
}

int Shortest_Path(vvi &graph, vb &nodes){

	int n = graph.size(), p1=0;
	nodes[p1].distance = 0;

	while (p1 != -1){
		nodes[p1].visited=true;
for (int p2 = 0; p2 < n; p2++){
			int *tmp = &graph[p1][p2];
			if (*tmp!=-1 && nodes[p2].visited==false){
				int tmp2 = *tmp + nodes[p1].distance;
				if (tmp2 < nodes[p2].distance){
					nodes[p2].distance = tmp2;
					nodes[p2].from = p1;
				}
			}
		}

		p1 = -1;
		int tmp;
		tmp = INT_MAX;
		for (int i=0; i<n; i++){
			if (nodes[i].visited==false && nodes[i].distance<tmp){
				p1 = i;
				tmp = nodes[i].distance;
			}
		}
	}
	return 0;
}

int resultout(vb &nodes){
	int n = nodes.size();
	for (int i=0; i<n; i++){
		cout<<i<<" "<<nodes[i].distance<<endl;
	}
	return 0;
}

int main(void){

	int n;
	cin>>n;
	vvi G(n, vi(n));
	vb nodes(n);

	make_graph(G, nodes);

	Shortest_Path(G, nodes);

	resultout(nodes);

	return 0;
}

C++: #include<iostream>
#include<queue>
#include<vector>
#define MAX 10000
#define INFTY 1<<21
#define WHITE 0
#define GRAY 1
#define BLACK 2
using namespace std;

vector<pair<int, int> > adj[MAX];   // <頂点,重み>
priority_queue<pair<int, int> > PQ; // <重み,頂点> 正確には重み×-1
int d[MAX], color[MAX];
int n;

// ダイクストラのアルゴリズムに優先度付きキューを用いて、
// 最短経路上の各頂点まで道のりを求めて出力する。
void dijkstra()
{
	for (int i = 0; i < n; i++)
	{
		d[i] = INFTY;
		color[i] = WHITE;
	}

	d[0] = 0;
	color[0] = GRAY;
	PQ.push(make_pair(0, 0));

	while (!PQ.empty())
	{
		pair<int, int> f = PQ.top(); PQ.pop();
		int u = f.second;

		if (d[u] < f.first * (-1)) continue;

		color[u] = BLACK;

		for (int i = 0; i < adj[u].size(); i++)
		{
			int v = adj[u][i].first;

			if (color[v] == BLACK) continue;

			if (d[u] + adj[u][i].second < d[v])
			{
				d[v] = d[u] + adj[u][i].second;
				PQ.push(make_pair(d[v] * (-1), v));
				color[v] = GRAY;
			}
		}
	}

	for (int i = 0; i < n; i++)
	{
		int x = (d[i] == INFTY) ? -1 : d[i];
		cout << i << " " << x << endl;
	}
}

int main()
{
	cin >> n;

	int k, u, v, c;
	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;
}

// 参考
// 本P310掲載の重み付き有向グラフの作成
void testSample()
{
	n = 7;
	adj[0].push_back(make_pair(1, 6));
	adj[0].push_back(make_pair(2, 12));
	adj[0].push_back(make_pair(3, 7));
	adj[2].push_back(make_pair(2, 8));
	adj[3].push_back(make_pair(4, 3));
	adj[3].push_back(make_pair(5, 53));
	adj[4].push_back(make_pair(3, 1));
	adj[4].push_back(make_pair(5, 0));
}

C++: #include<bits/stdc++.h>
#define d first
#define wgt first
#define to second

using namespace std;

typedef pair<int,int> pii;
typedef vector<pii> vec;
typedef vector<vec> Graph;

Graph G(11000);
int n,d[11000];

void Dijkstra()
{
	bool used[1100];
	priority_queue<pii,vector<pii>,greater<pii> > pq;
	fill(d,d+n,INT_MAX);
	memset(used,false,sizeof(used));
	pq.push(make_pair(0,0));
	while(!pq.empty())
	{
		pii u=pq.top();pq.pop();
		if(used[u.to]) continue;
		used[u.to]=true;
		d[u.to]=u.d;
		for(int i=0;i<G[u.to].size();i++)
			if(d[G[u.to][i].to]>d[u.to]+G[u.to][i].wgt)
			{
				d[G[u.to][i].to]=d[u.to]+G[u.to][i].wgt;
				pq.push(make_pair(d[G[u.to][i].to],G[u.to][i].to));
			}
	}
}

int main()
{
	scanf("%d",&n);
	for(int i=0;i<n;i++)
	{
		int u,t;
		scanf("%d%d",&u,&t);
		for(int j=0;j<t;j++)
		{
			int v,w;
			scanf("%d%d",&v,&w);
			G[u].push_back(make_pair(w,v));
		}
	}
	Dijkstra();
	for(int i=0;i<n;i++)
		printf("%d %d\n",i,d[i]);
	return 0;
}