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>
using namespace std;
#define DEBUG(x) cout<<#x<<": "<<x<<endl;
#define DEBUG_VEC(v) cout<<#v<<":";for(int i=0;i<v.size();i++) cout<<" "<<v[i]; cout<<endl
#define vi vector<int>
#define vl vector<ll>
#define vii vector< vector<int> >
#define vll vector< vector<ll> >
#define vs vector<string>
#define pii pair<int,int>
#define pis pair<int,string>
#define psi pair<string,int>
#define pll pair<ll,ll>
#define rep(i, begin, end) for (__typeof(end) i = (begin) - ((begin) > (end)); i != (end) - ((begin) > (end)); i += 1 - 2 * ((begin) > (end)))
#define MOD 1000000007
#define mod 1000000009
#define pi 3.14159265358979323846
#define Sp(p) cout<<setprecision(15)<< fixed<<p<<endl;

int dx[4] = { 1,0,-1,0 }, dy[4] = { 0,1,0,-1 };

int dx2[8] = { 1,1,0,-1,-1,-1,0,1 }, dy2[8] = { 0,1,1,1,0,-1,-1,-1 };
typedef long long ll;
const int inf = 1000000001;
const ll INF = 1e18 * 4;

void relax(int u, int v, int* d, int** mat){ 
    if(d[v] > d[u] + mat[u][v]) d[v] = d[u] + mat[u][v];
}

void dijkstra(int n, int** mat, int* d){
    int cur_v = 0;
    int* visited = new int[n];
    rep(i, 0, n) visited[i] = 0;
    d[cur_v] = 0;
    while(true){
        visited[cur_v] = 1;
        rep(j, 0, n){
            if(mat[cur_v][j] > -1){
                relax(cur_v, j, d, mat); 
            }
        }
        // pick next cur_v (with minimum unvisited)
        int min_visited = inf;
        int next_v = -1;
        rep(k, 0, n){
            if(!visited[k] && d[k] < min_visited){
                min_visited = d[k];
                next_v = k;
           }
        }
        if(next_v == -1) break;
        cur_v = next_v;
    } 
}


int main(){
    int n;
    cin >> n;
    int** mat = new int*[n];
    rep(i, 0, n){
        mat[i] = new int[n];
        rep(j, 0, n){
            mat[i][j] = -1;
        }
    }

    rep(i, 0, n){
        int v;
        int k;
        cin >> v >> k;
        rep(j, 0, k){
            int vout, c;
            cin >> vout >> c;
            mat[v][vout] = c;
        }
    }
    int* d = new int[n];
    rep(i, 0, n){ d[i] = inf; }
    dijkstra(n, mat, d);
    rep(i, 0, n){
        cout << i << " " << d[i] << endl;
    }


    return 0;
}

C++: #include<iostream>
#include<algorithm>
#include<math.h>
#include<queue>
#include<vector>
#include<climits>
#include<map>
#include<string>
#include<functional>
#include<iomanip>

using namespace std;
typedef long long ll;

ll n, u, k, v, c;

const int INF = 7 + (1e+9);
typedef int Weight;
struct Edge {  //src:辺の始点,dst:辺の終点,weight:辺の重さ
	int src, dst;
	Weight weight;
	Edge(int src, int dst, Weight weight) :
		src(src), dst(dst), weight(weight) { }
};
bool operator < (const Edge &e, const Edge &f) {
	return e.weight != f.weight ? e.weight > f.weight : //辺は重さが重いものを"小さい"と定義する
	e.src != f.src ? e.src < f.src : e.dst < f.dst;
}
typedef vector<Edge> Edges;
typedef vector<Edges> Graph;

//引数 g:隣接リスト,s:始点,dist:各頂点までの距離が入る,prev:最短路木の親頂点が入る
//戻値 なし
void shortestPath(const Graph &g, int s, vector<Weight> &dist, vector<int> &prev) {
	int n = g.size();
	dist.assign(n, INF); dist[s] = 0;
	prev.assign(n, -1);
	priority_queue<Edge> Q;
	Q.push(Edge(-2, s, 0));
	while (!Q.empty()) {
		Edge e = Q.top(); Q.pop();
		if (prev[e.dst] != -1) continue;
		prev[e.dst] = e.src;
		for (auto f = g[e.dst].begin(); f != g[e.dst].end(); f++) {
			if (dist[f->dst] > e.weight + f->weight) {
				dist[f->dst] = e.weight + f->weight;
				Q.push(Edge(f->src, f->dst, e.weight + f->weight));
			}
		}
	}
}

int main() {
	cin >> n;
	Graph g(n);
	for (int i = 0; i < n; i++) {
		cin >> u >> k;
		for (int j = 0; j < k; j++) {
			cin >> v >> c;
			g[u].push_back(Edge(u, v, c));
		}
	}
	vector<Weight> dist;
	vector<int> prev;
	shortestPath(g, 0, dist, prev);
	for (int i = 0; i < n; i++) {
		cout << i << " " << dist[i] << endl;
	}
}

C++: #include<cstdio>
#include<iostream>
#define INF 200001
using namespace std;
int main(){
 int u,k,C,V,A[1000][1000],D[1000][1000],n;
  scanf("%d",&n);
   for(int i=0;i<n;i++)for(int j=0;j<n;j++)D[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,&C);
    D[u][V] = C;
      }   
  }
  for(int i=0;i<n;i++)D[i][i] = 0;
  for(int k=0;k<n;k++)for(int i=0;i<n;i++)for(int j=0;j<n;j++)D[i][j]= min(D[i][j],D[i][k] + D[k][j]);
  for(int i=0;i<n;i++)printf("%d %d\n",i,D[0][i]);
  return 0;
}