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++: //さっさと済ませられるところはさっさと済ましてしまう．ただし注意深く
#include <cstdio>
#include <iostream>
#define MAX_VERTEXES 100
#define NIL -1
#define INFTY 20000000// >100*100000

using namespace std;

//think easy make easy

int n;//num of vertexes(頂点)
int matrix_graph[MAX_VERTEXES+1][MAX_VERTEXES+1];//0オリジン
bool vertex_set[MAX_VERTEXES+1];///0オリジン
int current_mincost[MAX_VERTEXES+1];//現時点での各頂点への最小コスト
bool candidate[MAX_VERTEXES+1];//次にvertex_setに加える頂点の候補
int new_vertex;

void findNextVertex(){
	int min_tmp=INFTY;
	int next_tmp = NIL;
	
	for(int i=0;i<n;i++){
		for(int j=0;j<n;j++){
			if(i == new_vertex && vertex_set[j] == false){//わかりやすいプログラムほど処理もすくない.
				//無駄のないプログラムの方がわかりよい
				if(matrix_graph[i][j]+current_mincost[i] < current_mincost[j]
				   && matrix_graph[i][j] != NIL){
					   current_mincost[j]  = matrix_graph[i][j]+current_mincost[i];
					   candidate[j] = true;
				}
			}
		}
	}
	for(int i=0;i<n;i++){
		if(candidate[i] == true && current_mincost[i] < min_tmp){
			min_tmp = current_mincost[i];
			next_tmp = i;
		}
	}
	vertex_set[next_tmp] = true;
	candidate[next_tmp] = false;
	new_vertex = next_tmp;
}

int main(){
	scanf("%d",&n);

	int v_num;
	int k;//v_numの出次数

	for(int i=0;i<n;i++){
		for(int j=0;j<=n;j++){
			matrix_graph[i][j] = NIL;
		}
	}

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

		for(int j=0;j<k;j++){
			int v_num2;
			int cst;
			scanf("%d",&v_num2);
			scanf("%d",&cst);
			matrix_graph[v_num][v_num2] = cst;
		}
	}

	for(int i=0;i<n;i++){
		vertex_set[i] = false;
		current_mincost[i] = INFTY;
	}
	/*確認用
	for(int i=0;i<n;i++){
		for(int j=0;j<n;j++){
			if(j<n-1) printf("%d ",matrix_graph[i][j]);
			else printf("%d\n",matrix_graph[i][j]);
		}
	}
	*/

	for(int i=0;i<n;i++){
		candidate[i] = false;
	}

	vertex_set[0] = true;
	current_mincost[0] = 0;
	new_vertex = 0;

	for(int i=1;i<n;i++){
		for(int j=0;j<n;j++){
			cout <<" " <<vertex_set[j] ;
		}
		cout <<endl;
		findNextVertex();
	}


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


	return 0;
}

C++: #include<algorithm>
#include<iostream>
#include<cstdlib>
#include<cstring>
#include<cstdio>
#include<vector>
#include<queue>
#include<stack>
#include<cmath>
#include<list>
#include<map>
#include<set>
using namespace std;

//typedef vector<int> VI;
//typedef vector<VI> VVI;
//typedef vector<string> VS;
//typedef stack<int> SI;
//typedef queue<int> QI;
typedef pair<int,int> PII;
//typedef long long LL;

//#define d(x)  cout<<#x<<" = "<<(x)<<endl;
//#define ALL(a)  (a).begin(),(a).end()
//#define RALL(a) (a).rbegin(), (a).rend()
#define PB push_back
#define MP make_pair
#define EMP empty()
#define SZ(a) int((a).size())
//#define EACH(i,c) for(typeof((c).begin()) i=(c).begin(); i!=(c).end(); ++i)
//#define REACH(i,c) for(typeof((c).rbegin()) i=(c).rbegin(); i!=(c).rend(); ++i)
//#define EXIST(s,e) ((s).find(e)!=(s).end())
//#define SORT(c,n) sort(c,c+n)
//#define VSORT(c) sort((c).begin(),(c).end())
#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define REP(i,n)  FOR(i,0,n)
//#define DFOR(i,b,a) for(int i=(b)-1;i>=(a);--i)
//#define DREP(i,n) DFOR(i,n,0)
//#define INF 1000000000

//const double EPS = 1e-10;
//const double PI  = acos(-1.0);
////////////////////////////////////////////////
static const int MAX=10000;
static const int INF=(1<<20);
static const int WHITE=0;
static const int GRAY=1;
static const int BLACK=2;

int n;
vector<PII> adj[MAX];
void dijkstra()
{
	priority_queue<PII> PQ;
	int color[MAX];
	int d[MAX];
	REP(i,n)
	{
		d[i]=INF;
		color[i]=WHITE;
	}
	
	d[0]=0;
	PQ.push(MP(0,0));
	color[0]=GRAY;
	
	while(!PQ.EMP)
	{
		PII f=PQ.top();
		PQ.pop();
		int u=f.second;
		color[u]=BLACK;
		
		if(d[u]<f.first*(-1))continue;
		
		REP(j,SZ(adj[u]))
		{
			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(MP(d[v]*(-1),v));
			color[v]=GRAY;
		}
	}
	REP(i,n)
	{
		cout<<i<<" "<<(d[i]==INF?-1:d[i])<<endl;
	}
}

int main()
{
	int k,u,c,v;
	cin>>n;
	REP(i,n)
	{
		cin>>u>>k;
		REP(j,k)
		{
			cin>>v>>c;
			adj[u].PB(MP(v,c));
		}
	}
	
	dijkstra();
	
	return 0;
}

C++: #include <iostream>
#include <cstdio>
#include <cstring>
#include <queue>
#include <vector>
#include <algorithm>
using namespace std;
const int maxx = 10010;
const int INF = 1 << 30;
int n;
int flag[maxx];
// ???????????????????????\??¨??¨?????????pair.first?????¶???v???pair.second?????????
vector<pair<int, int> > adj[maxx];

void dijkstra() {
	priority_queue<pair<int, int> > PQ;
	int d[maxx];
	for (int i = 0; i < n; i++) {
		d[i] = INF;
		flag[i] = 0;
	}

	d[0] = 0;
	PQ.push(make_pair(0, 0));
	while (!PQ.empty()) {

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

		// ?????°???????????\S
		flag[u] = 1;

		//????????????????°?????????????????????\
		if (d[u] < f.first *(-1))
			continue;
		int len = adj[u].size();
		for (int j = 0; j < len; j++) {
			int v = adj[u][j].first;
			if (flag[v] == 0 && 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));
			}
		}
	}

	for (int i = 0; i < n; i++)
		printf("%d %d\n", i, d[i] == INF ? -1 : d[i]);
}
int main()
{
	int u, v, k, c;
	scanf("%d", &n);
	for (int i = 0; i < n; i++) {
		scanf("%d %d", &u, &k);
		for (int j = 0; j < k; j++) {
			scanf("%d %d", &v, &c);
			adj[u].push_back(make_pair(v, c));
		}
	}
	dijkstra();
	return 0;
}