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 <stack>
#include <queue>
#include <bitset>
#include <utility>
#include <functional>
#include <numeric>
#include <limits>

template <class T>
using vec = std::vector<T>;

constexpr int nil = -1;
constexpr int inf = std::numeric_limits<int>::max();

struct Edge
{
    int to;
    int cost;

    bool operator<(const Edge& rhs) const
    {
        return cost < rhs.cost;
    }

    bool operator>(const Edge& rhs) const
    {
        return cost > rhs.cost;
    }
};



vec<int> dijkstra(const vec<vec<Edge>>& edges)
{
    using namespace std;

    const int n = edges.size();
    vec<int> distances(n, inf);
    vec<bool> reached(n, false);
    priority_queue<Edge, vector<Edge>, greater<Edge>> pqDist;

    pqDist.push({0, 0});

    while (true)
    {
        //始点からの最短点、コスト
        Edge d {nil, inf};

        //一番近い点を探す
        while (!pqDist.empty())
        {
            auto e = pqDist.top();
            pqDist.pop();

            if (!reached[e.to])
            {
                d = e;
                break;
            }
        }

        if (d.cost == inf)
            break;

        reached[d.to] = true;
        distances[d.to] = d.cost;

        for (auto& e : edges[d.to])
        {
            pqDist.push({e.to, d.cost + e.cost});
        }
    }

    return distances;
}

void solve()
{
    using namespace std;
    int n;
    cin >> n;

    //隣接リスト形式
    vec<vec<Edge>> edges(n);

    //入力
    for (int i = 0; i < n; ++i)
    {
        int v, k;
        cin >> v >> k;
        for (int j = 0; j < k; ++j)
        {
            int to, cost;
            cin >> to >> cost;
            edges[i].push_back({to, cost});
        }
    }

    auto d = dijkstra(edges);

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

int main()
{
    solve();
    return 0;
}

C++: #include <iostream>
#include <queue>
#include <utility>
#include <vector>
using namespace std;
#define MAX 10000
#define INFTY 10000000
#define DEFLT 0
#define WHITE 0
#define GRAY 1
#define BLACK 2

int n;
vector<pair<int, int> > adj[MAX];

void dijkstra(){
  int u, v, d[MAX], color[MAX];
  priority_queue<pair<int, int> > PQ; // uからvへの重みcとuに隣接する頂点の番号vのペア: pair<c, v*(-1)>

  for(int i=0; i<n; i++){
    color[i] = WHITE;
    d[i] = INFTY;
  }
  d[DEFLT] = 0;
  color[0] = GRAY;

  PQ.push(make_pair(0, DEFLT));

  while(!PQ.empty()){
    pair<int, int> f = PQ.top();
    PQ.pop();
    u = f.second;
    color[u] = BLACK;

    for(int i=0; i<adj[u].size(); i++){
      v = adj[u][i].second;
      if(color[v] != BLACK && d[u] + adj[u][i].first < d[v]){
        //cout << "u=" << u << ", v=" << v << ", d[u]=" << d[u] << ", d[v]=" << d[v] << "adj[u][i].first=" << adj[u][i].first << endl;
        d[v] = d[u] + adj[u][i].first;
        color[v] = GRAY;
        PQ.push(make_pair(d[v] * (-1), v));
      }
    }
  }

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

int main(void){
  int u, k, v, c;
  cin >> n;
  for(int i=0; i<n; i++){
    cin >> u >> k;
    for(int j=0; j<k; j++){
      cin >> v >> c;
      adj[u].push_back(make_pair(c, v));
    }
  }

  dijkstra();
  return 0;
}

C++: #include <bits/stdc++.h>
using namespace std;

static const int MAX = 10000;
static const int INFTY = (1 << 20);
static const int WHITE = 0;
static const int GRAY = 1;
static const int BLACK = 2;

int n;

//重み付き有向グラフの隣接リスト表現
vector<pair<int, int>> adj[MAX];


void dijkstra() {
    priority_queue<pair<int, int>> PQ;

    int color[MAX], d[MAX];
    for (int i = 0; i < n; i++) {
        d[i] = INFTY;
        color[i] = WHITE;
    }

    // 0 start
    d[0] = 0;
    PQ.push(make_pair(0, 0));
    color[0] = GRAY;

    while (!PQ.empty()) {
        // choose u
        pair<int, int> f = PQ.top(); // cost, node
        PQ.pop();

        int u = f.second;
        color[u] = BLACK;
        // 最小値を取り出し、それが最短でなければ無視
        if (d[u] < f.first * (-1)) {
            continue;
        }

        for (int j = 0; j < adj[u].size(); j++) {
            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(make_pair(d[v] * (-1), v));
                color[v] = GRAY;
            }
        }
    }

    for (int i = 0; i < n; i++) {
        cout << i << " " << (d[i] == INFTY ? -1 : d[i]) << endl;
    }
}

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

    cin >> n;

    for (int i = 0; i < n; i++) {
        cin >> u >> k;
        for (int j = 0; j < k; j++) {
            cin >> v >> c;
            adj[u].push_back(make_pair(v, c));  // node_id, cost
        }
    }

    dijkstra();
}