Go: package main

import (
	"bufio"
	"container/heap"
	"fmt"
	"os"
	"strconv"
)

const NIL = -1

type Node struct {
	id     int
	weight int
}

func init() {
	sc.Split(bufio.ScanWords)
}

type NodeHeap []Node

func (h NodeHeap) Len() int           { return len(h) }
func (h NodeHeap) Less(i, j int) bool { return h[i].weight < h[j].weight }
func (h NodeHeap) Swap(i, j int)      { h[i], h[j] = h[j], h[i] }

func (h *NodeHeap) Push(x interface{}) {
	*h = append(*h, x.(Node))
}

func (h *NodeHeap) Pop() interface{} {
	old := *h
	n := len(old)
	x := old[n-1]
	*h = old[0 : n-1]
	return x
}

var sc = bufio.NewScanner(os.Stdin)

func scanInt() int {
	num, _ := strconv.Atoi(scanString())
	return num
}

func scanString() string {
	sc.Scan()
	return sc.Text()
}

func init() {
	sc.Split(bufio.ScanWords)
}

func main() {
	n := scanInt()

	route := make([][]Node, n)
	weight := make([]int, n)
	for i := 0; i < n; i++ {
		weight[i] = NIL
	}

	for i := 0; i < n; i++ {
		u := scanInt()
		k := scanInt()
		route[i] = make([]Node, k)
		for j := 0; j < k; j++ {
			route[u][j] = Node{id: scanInt(), weight: scanInt()}
		}
	}

	start := Node{id: 0, weight: 0}
	h := &NodeHeap{start}
	heap.Init(h)

	for h.Len() > 0 {
		node := heap.Pop(h).(Node)
		if weight[node.id] != NIL {
			continue
		}
		weight[node.id] = node.weight

		for _, nextNode := range route[node.id] {
			if weight[nextNode.id] != NIL {
				continue
			}
			nextNode.weight += node.weight
			heap.Push(h, nextNode)
		}
	}

	for i, w := range weight {
		fmt.Println(i, w)
	}
}

C++: #include <queue>
#include <stdint.h>
#include <vector>
#include <utility>
#include <array>
using namespace std;
typedef void (*single_source_shortest_path_callback_t)(int32_t index, int32_t weight);

#define GRAPH_MAX_SIZE 10000
enum color_t { WHITE, GRAY, BLACK };

static int32_t weights[GRAPH_MAX_SIZE];
static color_t colors[GRAPH_MAX_SIZE];

bool single_source_shortest_path(vector<pair<int32_t, int32_t>> *graph, size_t size, single_source_shortest_path_callback_t callback)
{
  if ((graph == nullptr) || (size == 0)) return false;

  int32_t i;
  for (i = 0; i < GRAPH_MAX_SIZE; i++) {
    weights[i] = INT32_MAX;
    colors[i] = WHITE;
  }

  weights[0] = 0;
  priority_queue<pair<int32_t, int32_t>> que;
  que.push(make_pair(-1 * weights[0], 0));

  while (!que.empty()) {
    pair<int, int> top = que.top();
    que.pop();
    int32_t top_index = top.second;
    int32_t top_weights = (-1) * top.first;
    if (top_weights > weights[top_index]) continue;

    callback(top_index, top_weights);
    colors[top_index] = BLACK;

    vector<pair<int32_t, int32_t>> vertex = graph[top_index];
    for (auto connect_to = vertex.begin(); connect_to != vertex.end(); connect_to++) {
      int32_t index = (*connect_to).first;
      if (colors[index] != BLACK) {
        int32_t new_weight = weights[top_index] + (*connect_to).second;

        if (new_weight < weights[index]) {
          weights[index] = new_weight;
          colors[index] = GRAY;
          que.push(make_pair(-1 * weights[index], index));
        }
      }
    }
  }
  return true;
}

#if !defined(TEST)
static vector<pair<int32_t, int32_t>> graph[GRAPH_MAX_SIZE];
static int32_t routes[GRAPH_MAX_SIZE];

void callback(int32_t index, int32_t weight)
{
  routes[index] = weight;
}

int32_t main(void)
{
  int32_t num;
  scanf("%d", &num);

  uint32_t i;
  for (i = 0; i < num; i++) {
    int32_t index, len;
    scanf("%d", &index);
    scanf("%d", &len);
    uint32_t j;
    for (j = 0; j < len; j++) {
      int32_t k, v;
      scanf("%d %d", &k, &v);
      graph[i].push_back(make_pair(k, v));
    }
  }
  single_source_shortest_path(graph, num, callback);

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

  return 0;
}
#endif

C++: #include <iostream>
#include <vector>

using namespace std;

#define MAX 10000
#define INFTY 99999999

#define WHITE 0
#define GRAY 1
#define BLACK 2


struct Node {
	vector<int> ch;
	vector<int> co;
};



Node G[MAX];


int n;
int d[MAX];
int p[MAX];
int color[MAX];




void dijkstra(int s)
{
	int u;

	for (int i = 0; i < n; i++) {
		p[i] = -1;
		d[i] = INFTY;
	}

	d[s] = 0;

	while (true) {

		int mincost = INFTY;

		for (int i = 0; i < n; i++) {
			if (color[i] != BLACK && d[i] < mincost) {
				mincost = d[i];
				u = i;
			}
		}

		if (mincost == INFTY) {
			break;
		}

		color[u] = BLACK;

		for (int i = 0; i < G[u].ch.size(); i++) {
			if (color[G[u].ch[i]] != BLACK) {
				if (d[u] + G[u].co[i] < d[G[u].ch[i]]) {
					d[G[u].co[i]] = d[u] + G[u].co[i];
					p[G[u].co[i]] = d[u];
					color[G[u].co[i]] = GRAY;
				}
			}
		}
	}

}

int main(void)
{
	int u;
	int k;
	int v;
	int c;

	cin >> n;

	for (int i = 0; i < n; i++) {
		cin >> u >> k;
		for (int j = 0; j < k; j++) {
			cin >> v >> c;
			G[u].ch.push_back(v);
			G[u].co.push_back(c);
		}
	}

	dijkstra(0);

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

}

C++: #include<bits/stdc++.h>

std::vector<int> color;
std::vector<std::pair<int, int>> G[10000];
std::vector<int> d;
std::vector<int> p;
int INF = 1001001001;
int sum = 0;
std::priority_queue<std::pair<int, int>> que;

void dijkstra(int n){
    for(int i = 0; i < n; i++){
        color[i] = 0;
        d[i] = INF;
    }

    d[0] = 0;
    p[0] = -1;

    que.push(std::make_pair(0, 0));

    while(que.empty() != 1){
        std::pair<int, int> f = que.top();
        que.pop();
        int u = f.second;

        color[u] = 1;

        // if(d[u] < )

        for(int i = 0; i < G[u].size(); i++){
            std::pair<int, int> pair = G[u][i];
            if(color[pair.first] != 1){
                if(d[u] + pair.second < d[pair.first]){
                    d[pair.first] = d[u] + pair.second;
                    que.push(std::make_pair(d[pair.first] * (-1), pair.first));
                }
            }
        }

    }
    
    for(int i = 0; i < d.size(); i++){
        sum += d[i];
    }

}

int main(void){
    int n;
    int tmp1, tmp2;
    std::cin >> n;

    color.resize(n);
    d.resize(n);
    p.resize(n);

    int u, k, v;

    for(int i = 0; i < n; i++){
        std::cin >> u >> k;
        for(int j = 0; j < k; j++){
            std::cin >> tmp1 >> tmp2;
            G[u].push_back(std::make_pair(tmp1, tmp2));
        }
        
    }
    
    
    dijkstra(n);
    
    for(int i = 0; i < n; i++){
        std::cout << i << " " << d[i] << std::endl;
    }

    return 0;
}

C++: #include <bits/stdc++.h>

using namespace std;

#ifdef DEBUG_MODE
	#define DBG(n) n;
#else
	#define DBG(n) ;
#endif
#define REP(i,n) for(ll (i) = (0);(i) < (n);++i)
#define rep(i,s,g) for(ll (i) = (s);(i) < (g);++i)
#define rrep(i,s,g) for(ll (i) = (s);i >= (g);--(i))
#define PB push_back
#define MP make_pair
#define FI first
#define SE second
#define SHOW1d(v,n) {for(int W = 0;W < (n);W++)cerr << v[W] << ' ';cerr << endl << endl;}
#define SHOW2d(v,i,j) {for(int aaa = 0;aaa < i;aaa++){for(int bbb = 0;bbb < j;bbb++)cerr << v[aaa][bbb] << ' ';cerr << endl;}cerr << endl;}
#define ALL(v) v.begin(),v.end()
#define Decimal fixed<<setprecision(20)
#define INF 1000000000
#define MOD 1000000007

typedef long long ll;
typedef pair<ll,ll> P;
#define NODE 100001
#define INF 1000000000
vector<vector<pair<ll,ll> > > v(NODE);
int dist[NODE];
int dijkstra(int start){
	for(int i = 0;i < NODE;i++)dist[i] = INF;
	dist[start] = 0;
	priority_queue<P,vector<P>,greater<P> > pq;
	pq.push(make_pair(0,start));
	while(!pq.empty()){
		P now = pq.top();pq.pop();
		ll d = now.first;
		ll node = now.second;
		if(dist[node] < d)continue;
		for(int i = 0;i < v[node].size();i++){
			ll opp_n = v[node][i].first;
			ll opp_d = v[node][i].second;
			if(dist[opp_n] > d + opp_d){
				dist[opp_n] = d + opp_d;
				pq.push(make_pair(dist[opp_n],opp_n));
			}
		}
	}
}

int main(){
	int n;cin >> n;
	REP(i,n){
		int a,b;cin >> a >> b;
		REP(j,b){
			int x,y;cin >> x >> y;
			v[a].PB(MP(x,y));
		}
	}
	dijkstra(0);
	
	REP(i,n){
		cout << i << ' ' << dist[i] << endl;
	}
	
	return 0;
}