Go: // ダイクストラのアルゴリズム
package main

import (
	"bufio"
	"fmt"
	"log"
	"math"
	"os"
	"strconv"
	"strings"
)

type color int

const (
	white color = iota // 未訪問
	mst                // MSTとして確定
)

// 頂点
type node struct {
	num     int         // 頂点の番号
	weights map[int]int // 重みMAP
	parent  *node       // MSTへの重み最小の親
	sum     int         // 始点からの距離
	color   color
}

func (p *node) getMinToMst() int {
	if p.parent == nil {
		return math.MaxInt32
	}
	return p.weights[p.parent.num]
}

func main() {
	scanner := bufio.NewScanner(os.Stdin)
	n := eGetInt(scanner)

	nodes := make([]*node, n)
	for i := 0; i < n; i++ {
		weights := eAtoi((strings.Fields(eGetline(scanner))))
		v := &node{weights[0], make(map[int]int, weights[1]), nil, 0, white}
		for j := 0; j < weights[1]; j++ {
			k := weights[j*2+2] // 相手の頂点名
			w := weights[j*2+3] // 重み
			v.weights[k] = w
		}
		nodes[i] = v
	}

	// 初回はnode[0]がMSTに入るように
	nodes[0].parent = nodes[0]

	for { // 全部チェックするまで

		// どの頂点を新たにMSTに取り込むか

		var minNode *node
		min := math.MaxInt32
		for _, v := range nodes {
			if v.color == mst {
				continue
			}
			if v.getMinToMst() < min {
				min = v.getMinToMst()
				minNode = v
			}
		}
		if minNode == nil {
			// すべて完了している.
			break
		}

		// MSTに追加する頂点決定
		minNode.color = mst
		// 自分の親の合計値と合算する
		minNode.sum = minNode.parent.sum + min

		// MSTに属していない頂点それぞれについて,MSTとの最小の重みの距離を加算
		for _, v := range nodes {
			if v.color == mst {
				continue
			}
			w, ok := v.weights[minNode.num]
			if !ok {
				// minNodeと接してない
				continue
			}

			if w < v.getMinToMst() {
				// minNodeへの距離がもっとも重みが少ないので親を変更
				v.parent = minNode
			}
		}
	}

	for i, v := range nodes {
		fmt.Printf("%d %d\n", i, v.sum)
	}
}

func eGetInt(scanner *bufio.Scanner) int {
	t := eAtoi(strings.Fields(eGetline(scanner)))
	return t[0]
}

func eGetline(p *bufio.Scanner) string {
	if !p.Scan() {
		if err := p.Err(); err != nil {
			log.Fatal(err.Error())
		}
		return ""
	}
	return p.Text()
}

func eAtoi(s []string) []int {
	ints := make([]int, len(s))
	var err error
	for i, e := range s {
		ints[i], err = strconv.Atoi(e)
		if err != nil {
			log.Fatal(err.Error())
		}
	}
	return ints
}

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;
}