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 <bits/stdc++.h>
using namespace std;
struct cww{cww(){ios::sync_with_stdio(false);cin.tie(0);}}star;
#define P(x) cout << (x) << endl
#define p(x) cout << (x)
#define all(c) (c).begin(), (c).end()
#define rall(c) (c).rbegin(), (c).rend()
#define vv(type, c, m, n, i) vector<vector<type>> c(m, vector<type>(n, i));
#define rep(i,a,n) for(int i=(a), i##_len=(n); i<i##_len; ++i)
#define rrep(i,a,n) for(int i=(a), i##_len=(n); i>i##_len; --i)
#define len(x) ((int)(x).size())
#define mp make_pair
#define eb emplace_back
typedef long long ll;
typedef vector<int> vi;
typedef vector<double> vd;
typedef vector<long long> vll;
typedef vector<string> vs;
typedef vector<bool> vb;
constexpr int MAX = 1e4;
enum Color { WHITE = 0, GRAY, BLACK };
int n;
vector<pair<int, int>> adj[MAX];
inline void dijkstra() {
	priority_queue<pair<int, int>> pq;
	vi color(MAX, WHITE), d(MAX, INT_MAX);
	d[0] = 0;
	pq.emplace(mp(0, 0));
	color[0] = GRAY;
	int f, u, v, c;
	while(!pq.empty()) {
		tie(f, u) = pq.top(); pq.pop();
		color[u] = BLACK;
		if(d[u] < f * (-1)) continue;
		rep(j, 0, len(adj[u])) {
			tie(v, c) = adj[u][j];
			if(color[v] == BLACK) continue;
			if(d[v] > d[u] + c) {
				d[v] = d[u] + c;
				pq.emplace(mp(d[v] * (-1), v));
				color[v] = GRAY;
			}
		}
	}
	rep(i, 0, n) {
		cout << i << " " << (d[i] == INT_MAX ? -1 : d[i]) << endl;
	}
}
int main() {
	cin >> n;
	int u, k, v, c;
	rep(i, 0, n) {
		cin >> u >> k;
		rep(j, 0, k) {
			cin >> v >> c;
			adj[u].eb(mp(v, c));
		}
	}
	dijkstra();
	return 0;
}

C++: #include <iostream>
#include <algorithm>
#include <stack>
#include <queue>
#include <vector>
#include <map>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <climits>

using namespace std;

#define MAX_V 10000
#define INF INT_MAX / 2

struct edge { int to, cost; };
typedef pair<int, int> P;

int V;
vector<edge> G[MAX_V];
int d[MAX_V];

void dijkstra(int s) {
	priority_queue<P, vector<P>, greater<P> > que;
	fill(d, d + V, INF);
	d[s] = 0;
	que.push(P(0, s));

	while (!que.empty()) {
		P p = que.top(); que.pop();
		int v = p.second;
		if (d[v] < p.first)
			continue;
		for (int i = 0; i < G[v].size(); i++) {
			edge e = G[v][i];
			if (d[e.to] > d[v] + e.cost) {
				d[e.to] = d[v] + e.cost;
				que.push(P(d[e.to], e.to));
			}
		}
	}
}

int main() {
	int n;
	cin >> n;
	V = n;
	for (int i = 0; i < n; i++) {
		int u, k;
		cin >> u >> k;
		for (int j = 0; j < k; j++) {
			edge e;
			cin >> e.to >> e.cost;
			G[u].push_back(e);
		}
	}
	dijkstra(0);
	for (int i = 0; i < n; i++)
		cout << i << " " << d[i] << endl;

	return 0;
}

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

#define rep(i, n) for (int i = 0; i < (int)(n); ++i)

const int SIZE = 10000;
const int INF = 1 << 21;
std::vector<std::pair<int, int>> a[SIZE];
int d[SIZE];

void dijkstra(int s, int n) {
  std::priority_queue<std::pair<int, int>> q;

  rep(i, n) { d[i] = INF; }
  d[s] = 0;

  q.push(std::make_pair(0, s));

  while (!q.empty()) {
    auto p = q.top();
    q.pop();

    int u = p.second;
    if (d[u] < (-1) * p.first) continue;

    for (auto p : a[u]) {
      int v = p.first;
      if (d[v] > d[u] + p.second) {
        d[v] = d[u] + p.second;
        q.push(std::make_pair((-1) * d[v], v));
      }
    }
  }
}

int main() {
  int n;
  std::cin >> n;

  rep(i, n) {
    int u, k, v, c;
    std::cin >> u >> k;
    rep(j, k) {
      std::cin >> v >> c;
      a[u].push_back(std::make_pair(v, c));
    }
  }

  dijkstra(0, n);
  rep(i, n) { std::cout << i << ' ' << d[i] << '\n'; }

  return 0;
}

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

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

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

Node *Node_list;

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

void Node::AddNextNode(int id, int weight)
{
	next_node_list.push_back(id);
	next_weight_list.push_back(weight);
}

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

void Node::DistributeWeight()
{
	check = true;
	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);
			Q.push(&Node_list[*itr]);
		}
		itr2++;
	}
	next_node_list.clear();
	next_weight_list.clear();
}

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

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

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