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>
#include<vector>
#include<limits>
using namespace std;

const int MAX = numeric_limits<int>::max();

class Node{
public:
  int _id;
  bool _isFound;
  vector<int> _adj_index; // 隣接点のid
  vector<int> _adj_vertices;  // 隣接点との距離(重み)
  int _cost;

  void init(int id, int n){
    _id = id;
    _isFound = false;
    for(auto i = 0; i < n; i++){
      _adj_vertices.push_back(MAX);
    }
  }
};


void inputAdjList(vector<Node>& graph){
  for(auto i = 0; i < graph.size(); i++){
    int id, dim;
    cin >> id >> dim;
    graph[i].init(i, graph.size());
    for(auto j = 0; j < dim; j++){
      int vertex, distance;
      cin >> vertex >> distance;
      graph[i]._adj_index.push_back(vertex);
      graph[i]._adj_vertices[graph[i]._adj_index[j]] = distance;
    }
  }
}

void dijkstra(vector<Node>& nodes, int start){
  for(auto& node : nodes){
    node._isFound = false;
    node._cost = MAX;
  }

  nodes[start]._cost = 0;

  while(true){
//  cout << endl << "while start" << endl;
    Node *doneNode = nullptr;
    for(auto& node : nodes){
//  cout << "call for start" << node._cost << endl;
      if(node._isFound || node._cost == MAX){
//  cout << "continue" << node._cost << endl;
        continue;
      }
      if(doneNode == nullptr || node._cost < doneNode->_cost){

        doneNode = &node;
//  cout << "call" << node._cost << endl;
      }
    }
    if(doneNode == nullptr){
      break;
    }

//    cout << nodes[0]._isFound << endl;
    doneNode->_isFound = true;
//    cout << nodes[0]._isFound << endl;
    for(auto i = 0; i < doneNode->_adj_index.size(); i++){
//      cout << "i " << i << endl;
      auto nextIndex = doneNode->_adj_index[i];
      auto cost = doneNode->_cost + doneNode->_adj_vertices[doneNode->_adj_index[i]];
//    cout << endl << nextIndex << endl;
//    cout << cost << endl;
//    cout << nodes[nextIndex]._cost << endl;
      if(nodes[nextIndex]._cost == MAX || cost < nodes[nextIndex]._cost){
        nodes[nextIndex]._cost = cost;
//    cout << "called " << endl;
      }
    }
  }
}


int main(){
  int n;
  cin >> n;
  vector<Node> graph(n);

  inputAdjList(graph);
  dijkstra(graph, 0);

  for(auto g : graph){
    cout << g._id << " " << g._cost << endl;
  }

  return 0;
}

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

using namespace std;
using ll = long long;

template <class T>
struct Edge {
    int to;
    T cost;
    Edge(int to, T cost) : to(to), cost(cost){};
};

template <class T = int>
class Graph {
public:
    explicit Graph(int N = 0) : size(N) { path.resize(size); }
    void span(int u, int v, T cost = 1) { path[u].push_back(Edge<T>(v, cost)); }
    vector<Edge<T>> operator[](int v) const { return path[v]; }

    int size;
    vector<vector<Edge<T>>> path;
};

const ll INF = 1LL << 50;

template <class T>
vector<T> dijkstra(const Graph<T>& graph, int s) {
    vector<T> dist(graph.size, INF);
    dist[s] = 0;

    priority_queue<pair<int, T>, vector<pair<int, T>>, greater<pair<int, T>>> que;
    que.push(make_pair(0, s));

    while (!que.empty()) {
        int v;
        T d;
        tie(d, v) = que.top();
        que.pop();
        if (d > dist[v]) continue;

        for (const auto& e : graph[v]) {
            if (dist[e.to] <= dist[v] + e.cost) continue;
            dist[e.to] = dist[v] + e.cost;
            que.push(make_pair(dist[e.to], e.to));
        }
    }
    return dist;
}

int main() {
    int N;
    cin >> N;

    Graph<ll> graph(N);
    for (int i = 0; i < N; ++i) {
        int v, k;
        cin >> v >> k;
        for (int j = 0; j < k; ++j) {
            int sv;
            ll c;
            cin >> sv >> c;
            graph.span(v, sv, c);
        }
    }

    auto dist = dijkstra<ll>(graph, 0);
    for (int v = 0; v < N; ++v) cout << v << " " << dist[v] << endl;
    return 0;
}