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<queue>
using namespace std;
#define MAX_VAL 110000
#define INF 4123456789123456

typedef long long ll;
typedef pair<ll,ll> P;

struct edge{ll to, cost;};

vector<edge> G[MAX_VAL];
ll d[MAX_VAL], V;

void dijkstra(ll s){
	priority_queue<P,vector<P>,greater<P>> q;
	fill(d,d+V, INF);
	
	d[s] = 0;
	q.push(P(0,s));
	
	while(!q.empty()){
		P p = q.top();q.pop();
		ll v = p.second;
		
		if(d[v] < p.first) continue;
		
		for(edge e : G[v]){
			if(d[e.to] > d[v] + e.cost){
				d[e.to] = d[v] + e.cost;
				q.push(P(d[e.to],e.to));
			}
		}
	}
	
	
}

int main(){
	int u, k, v, c;
	cin>>V;
	
	for(int i = 1; i <= V; i++){
		cin>>u>>k;
		for(int j = 1; j <= k; j++){
			cin>>v>>c;
			edge  e = {v,c};
			G[u].push_back(e);
		}
	}
		dijkstra(0);
	for(int i = 0; i < V; i++){
		cout<<i<<" "<<d[i]<<endl;
	}
	return 0;
}

C++: #include<iostream>
using namespace std;
static const int MAX = 100;
static const int INFTY = (1<<21);
static const int WHITE = 0;
static const int GRAY = 1;
static const int BLACK = 2;

int n,M[MAX][MAX];

void dijkstra()
{
  int minv;
  int d[MAX],color[MAX];

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

  d[0] = 0;
  color[0] = GRAY;
  while(1)
  {
    minv = INFTY;
    int u = -1;
    for(int i=0;i<n;i++)
    {
      if(minv > d[i] && color[i] != BLACK)
      {
        u = i;
        minv = d[i];
      }
    }
    if(u == -1) break;
    color[u] = BLACK;
    for(int v = 0; v<n;v++)
    {
      if(color[v] != BLACK && M[u][v] != INFTY)
      {
        if(d[v]>d[u] + M[u][v])
        {
          d[v] = d[u]+M[u][v];
          color[v] = GRAY;
        }
      }
    }
  }
  for(int i=0;i<n;i++)
  {
    cout << i << " " << (d[i] == INFTY ? -1 : d[i]) << endl;
  }
}

int main()
{
  cin >> n;
  for(int i=0;i<n;i++)
  {
    for(int j=0;j<n;j++)
    {
      M[i][j] = INFTY;
    }
  }

  int k,c,u,v;
  for(int i=0;i<n;i++)
  {
    cin >> u >> k;
    for(int j=0;j<k;j++)
    {
      cin >> v >> c;
      M[u][v] = c;
    }
  }

  dijkstra();
  return 0;
}

C++: #include<iostream>
#include<vector>
#include<queue>
#define INF 2e9
using namespace std;

void Dikstra(const vector<vector<pair<int, int> > >& G, vector<int>& d){
    d[0] = 0;
    priority_queue<pair<int, int> , vector<pair<int, int> >, greater<pair<int, int> > > PQ;
    PQ.push(make_pair(0, 0));
    vector<bool> is_black(d.size(), false);
    is_black[0] = true;
    while (!PQ.empty()) {
        int t = PQ.top().second;
        PQ.pop();
        is_black[t] = true;
        for (int i = 0; i < G[t].size(); i++) {
            int v = G[t][i].first;
            int w = G[t][i].second;
            if (!is_black[v] && d[t] + w < d[v]) {
                bool flag = false;
                d[v] = d[t] + w;
                PQ.push(make_pair(d[v], v));
            }
        }
    }

}

int main(){
    int n;
    cin >> n;
    vector<vector<pair<int, int> > > G(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;
            G[u].push_back(make_pair(v, c));
        }
    }
    vector<int> d(n, INF);
    Dikstra(G, d);
    for (int i = 0; i < n; i++) {
       cout << i << " " << d[i] << endl;
    }

    return 0;
}

C++: #include <bits/stdc++.h>
#define rep(i,n) for(int i = 0; i < (int)(n); i++)
#define rrep(ri,n) for(int ri = (int)(n-1); ri >= 0; ri--)
#define rep2(i,x,n) for(int i = (int)(x); i < (int)(n); i++)
#define repit(itr,x) for(auto itr = x.begin(); itr != x.end(); itr++)
#define rrepit(ritr,x) for(auto ritr = x.rbegin(); ritr != x.rend(); ritr++)
#define ALL(n) begin(n), end(n)
using ll = long long;
using namespace std;

const int INF = 1001001001;

int main(){
  int n;
  cin >> n;
  vector<vector<pair<int, int>>> gr(n, vector<pair<int, int>>());
  rep(i, n){
    int a;
    cin >> a;
    int k;
    cin >> k;
    rep(j, k){
      int v, c;
      cin >> v >> c;
      gr.at(i).push_back(make_pair(v, c));
    }
  }
  vector<int> d(n, INF);
  vector<bool> chk(n, false);
  d.at(0) = 0;
  chk.at(0) = true;
  int now = 0;
  rep(i, n-1){
    for(auto p : gr.at(now)){
      if(chk.at(p.first) == true) continue;
      d.at(p.first) = min(d.at(p.first), d.at(now) + p.second);
    }
    int mn = INF, nx = -1;
    rep(j, n){
      if(chk.at(j) == true) continue;
      if(mn > d.at(j)){
        mn = d.at(j);
        nx = j;
      }
    }
    if(nx == -1) break;
    chk.at(nx) = true;
    now = nx;
  }

  rep(i, n){
    cout << i << " " << d.at(i) << endl;
  }
  return 0;
}