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>
using namespace std;
#define DEBUG(x) cout<<#x<<": "<<x<<endl;
#define DEBUG_VEC(v) cout<<#v<<":";for(int i=0;i<v.size();i++) cout<<" "<<v[i]; cout<<endl
#define vi vector<int>
#define vl vector<ll>
#define vii vector< vector<int> >
#define vll vector< vector<ll> >
#define vs vector<string>
#define pii pair<int,int>
#define pis pair<int,string>
#define psi pair<string,int>
#define pll pair<ll,ll>
#define rep(i, begin, end) for (__typeof(end) i = (begin) - ((begin) > (end)); i != (end) - ((begin) > (end)); i += 1 - 2 * ((begin) > (end)))
#define MOD 1000000007
#define mod 1000000009
#define pi 3.14159265358979323846
#define Sp(p) cout<<setprecision(15)<< fixed<<p<<endl;

int dx[4] = { 1,0,-1,0 }, dy[4] = { 0,1,0,-1 };

int dx2[8] = { 1,1,0,-1,-1,-1,0,1 }, dy2[8] = { 0,1,1,1,0,-1,-1,-1 };
typedef long long ll;
const int inf = 1000000001;
const ll INF = 1e18 * 4;

void relax(int u, int v, int* d, int** mat){ 
    if(d[v] > d[u] + mat[u][v]) d[v] = d[u] + mat[u][v];
}

void dijkstra(int n, int** mat, int* d){
    int cur_v = 0;
    int* visited = new int[n];
    rep(i, 0, n) visited[i] = 0;
    d[cur_v] = 0;
    while(true){
        visited[cur_v] = 1;
        rep(j, 0, n){
            if(mat[cur_v][j] > -1){
                relax(cur_v, j, d, mat); 
            }
        }
        // pick next cur_v (with minimum unvisited)
        int min_visited = inf;
        int next_v = -1;
        rep(k, 0, n){
            if(!visited[k] && d[k] < min_visited){
                min_visited = d[k];
                next_v = k;
           }
        }
        if(next_v == -1) break;
        cur_v = next_v;
    } 
}


int main(){
    int n;
    cin >> n;
    int** mat = new int*[n];
    rep(i, 0, n){
        mat[i] = new int[n];
        rep(j, 0, n){
            mat[i][j] = -1;
        }
    }

    rep(i, 0, n){
        int v;
        int k;
        cin >> v >> k;
        rep(j, 0, k){
            int vout, c;
            cin >> vout >> c;
            mat[v][vout] = c;
        }
    }
    int* d = new int[n];
    rep(i, 0, n){ d[i] = inf; }
    dijkstra(n, mat, d);
    rep(i, 0, n){
        cout << i << " " << d[i] << endl;
    }


    return 0;
}

C++: #include<iostream>
#include<algorithm>
#include<math.h>
#include<queue>
#include<vector>
#include<climits>
#include<map>
#include<string>
#include<functional>
#include<iomanip>

using namespace std;
typedef long long ll;

ll n, u, k, v, c;

const int INF = 7 + (1e+9);
typedef int Weight;
struct Edge {  //src:辺の始点,dst:辺の終点,weight:辺の重さ
	int src, dst;
	Weight weight;
	Edge(int src, int dst, Weight weight) :
		src(src), dst(dst), weight(weight) { }
};
bool operator < (const Edge &e, const Edge &f) {
	return e.weight != f.weight ? e.weight > f.weight : //辺は重さが重いものを"小さい"と定義する
	e.src != f.src ? e.src < f.src : e.dst < f.dst;
}
typedef vector<Edge> Edges;
typedef vector<Edges> Graph;

//引数 g:隣接リスト,s:始点,dist:各頂点までの距離が入る,prev:最短路木の親頂点が入る
//戻値 なし
void shortestPath(const Graph &g, int s, vector<Weight> &dist, vector<int> &prev) {
	int n = g.size();
	dist.assign(n, INF); dist[s] = 0;
	prev.assign(n, -1);
	priority_queue<Edge> Q;
	Q.push(Edge(-2, s, 0));
	while (!Q.empty()) {
		Edge e = Q.top(); Q.pop();
		if (prev[e.dst] != -1) continue;
		prev[e.dst] = e.src;
		for (auto f = g[e.dst].begin(); f != g[e.dst].end(); f++) {
			if (dist[f->dst] > e.weight + f->weight) {
				dist[f->dst] = e.weight + f->weight;
				Q.push(Edge(f->src, f->dst, e.weight + f->weight));
			}
		}
	}
}

int main() {
	cin >> n;
	Graph g(n);
	for (int i = 0; i < n; i++) {
		cin >> u >> k;
		for (int j = 0; j < k; j++) {
			cin >> v >> c;
			g[u].push_back(Edge(u, v, c));
		}
	}
	vector<Weight> dist;
	vector<int> prev;
	shortestPath(g, 0, dist, prev);
	for (int i = 0; i < n; i++) {
		cout << i << " " << dist[i] << endl;
	}
}

C++: #include<cstdio>
#include<iostream>
#define INF 200001
using namespace std;
int main(){
 int u,k,C,V,A[1000][1000],D[1000][1000],n;
  scanf("%d",&n);
   for(int i=0;i<n;i++)for(int j=0;j<n;j++)D[i][j] = INF;
  for(int i=0;i<n;i++){
      scanf("%d %d",&u,&k);   
      for(int j=0;j<k;j++){
    scanf("%d %d",&V,&C);
    D[u][V] = C;
      }   
  }
  for(int i=0;i<n;i++)D[i][i] = 0;
  for(int k=0;k<n;k++)for(int i=0;i<n;i++)for(int j=0;j<n;j++)D[i][j]= min(D[i][j],D[i][k] + D[k][j]);
  for(int i=0;i<n;i++)printf("%d %d\n",i,D[0][i]);
  return 0;
}

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

using namespace std;

const int kSize = 100001;

vector<int> V;

struct Node {
    int to;
    int weight;

    Node(int _to, int _weight) {
        to = _to;
        weight = _weight;
    }
};

int n;
vector<Node> adj[kSize];
bool isMarked[kSize];
int tree[kSize];
int dis[kSize];

void Dijkstra(int s) {
    dis[s] = 0;
    priority_queue<pair<int, int>, vector<pair<int, int> >, greater<> > pq;

    pq.push(make_pair(s, 0));
    isMarked[s] = true;
    tree[s] = s;

    while (!pq.empty()) {
        pair<int, int> p = pq.top();
        pq.pop();
        int from = p.first;
        for (int i = 0; i < adj[from].size(); ++i) {
            int to = adj[from][i].to;
            if (!isMarked[to]) {
                if (dis[from] + adj[from][i].weight < dis[to]) {
                    dis[to] = dis[from] + adj[from][i].weight;
                    tree[to] = from;
                    pq.push(make_pair(to, dis[to]));
                }
            }
        }
    }
}

int main() {
    fill(isMarked, isMarked + kSize, false);
    fill(dis, dis + kSize, INT_MAX);
    cin >> 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;
            adj[u].emplace_back(v, c);
        }
    }

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