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 <bits/stdc++.h>
#define _overload3(_1, _2, _3, name, ...) name
#define _rep(i, n) repi(i, 0, n)
#define repi(i, a, b) for (ll i = (ll)(a); i < (ll)(b); ++i)
#define rep(...) _overload3(__VA_ARGS__, repi, _rep, )(__VA_ARGS__)
#define ll long long
#define lld long double
#define ALL(x) x.begin(), x.end()
#ifdef DEBUG
#define line() cerr << "[" << __LINE__ << "] ";
#define dump(i) cerr << #i ": " << i << " ";
#define dumpl(i) cerr << #i ": " << i << endl;
#else
#define line(i)
#define dump(i)
#define dumpl(i)
#endif
using namespace std;
typedef map<int, vector<int>> Graph;
typedef map<int, map<int, int>> WGraph;
typedef pair<int, int> Edge;

map<Edge, bool> mp;
map<int, int> back;
vector<int> dijkstra(int v, WGraph &g, int r)
{
    vector<int> cost(v, 1 << 30);
    cost[r] = 0;
    priority_queue<pair<int, int>> pq;

    pq.push({0, r});

    while (!pq.empty())
    {
        //cerr << "-------------------------------" << endl;
        auto t = pq.top();
        pq.pop();
        //cerr << t.second << "," << t.first << endl;
        if (cost[t.second] < -t.first)
        {
            continue;
        }
        for (auto x : g[t.second])
        {
            if (cost[x.first] > cost[t.second] + g[t.second][x.first])
            {
                cost[x.first] = cost[t.second] + g[t.second][x.first];
                //cerr << "update cost[" << x.first << "] with " << cost[x.first] << endl;
                back[x.first] = t.second;
                pq.push({-cost[x.first], x.first});
            }
        }
    }
    return cost;
}

int main(int argc, char const *argv[])
{
    int n;
    cin >> n;
    WGraph g;
    rep(i, n)
    {
        int k;
        cin >> k >> k;
        rep(j, k)
        {
            int v, c;
            cin >> v >> c;
            g[i][v] = c;
        }
    }
    auto cost = dijkstra(n, g, 0);
    rep(i, n)
    {
        cout << i << " " << cost[i] << endl;
    }
    return 0;
}

C++: #include <cmath>
#include <cstdio>
#include <cstring>
#include <cstdlib>
#include <climits>
#include <map>
#include <list>
#include <stack>
#include <queue>
#include <vector>
#include <string>
#include <sstream>
#include <fstream>
#include <iostream>
#include <algorithm>
using namespace std;

struct node {
	short id;
	long cost;
	node(short i, long c){
		this->id = i;
		this->cost = c;
	}
	bool operator<(node c) const {
		return this->cost > c.cost;
	}
};

int main() {
	int n;
	scanf("%d", &n);
	
	int c[n];
	int w[n][n];
	for(int i = 0; i < n; i++){
		int u, k;
		scanf("%d %d", &u, &k);
		
		c[u] = u ? LONG_MAX : 0;
		for(int j = 0; j < n; j++){
			w[u][j] = -1;
		}
		while(k--){
			int v, c;
			scanf("%d %d", &v, &c);
			w[u][v] = w[v][u] = c;
		}
	}
	
	priority_queue<node> q;
	q.push(*new node(0, 0));
	while(q.size()){
		int i = q.top().id;
		int ca = q.top().cost;
		q.pop();
		
		for(int j = 0; j < n; j++){
			if(w[i][j] != -1 && c[j] > w[i][j] + ca){
				c[j] = w[i][j] + ca;
				q.push(*new node(j, c[j]));
			}
		}
	}
	
	for(int i = 0; i < n; i++){
		printf("%d %d\n", i, c[i]);
	}
}

C++: #include <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <cmath>
#include <stdio.h>
#include <queue>
#include <stack>
#include <climits>
#include <map>
#include <set>

using namespace std;

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

const ll mod = 1000000007;
const int inf = 1e9;
const long long INF = 1LL << 60;

const int MAX_N = 105;
int g[MAX_N][MAX_N];
int d[MAX_N];
bool used[MAX_N];
int n;

void dijkstra(int s){
    fill(d,d+n,inf);
    fill(used,used+n,false);
    d[s] = 0;

    while(true){
        int v = -1;
        for(int u = 0; u < n; u++){
            if(!used[u] && (v == -1 || d[u] < d[v])){
                // 1番最小のd[u]となるuを、v = u　として保存
                // ループを抜けた後に、vを介して[u]を更新
                v = u;
            }
        }
        //　この時点でd[u]が最小となるuは決定されている。
        if(v == -1) break;
        used[v] = true;
        for(int u = 0; u < n; u++){
            d[u] = min(d[u],d[v] + g[v][u]);
        }
    }
}

int main()
{
    cin >> n;
    for(int i = 0; i < n; i++){
        for(int j = 0; j < n; j++){
            g[i][j] = inf;
        }
    }
    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][v] = c;
        }
    }
    dijkstra(0);
    for(int i = 0; i < n; i++){
        cout << i << ' ' << d[i] << endl;
    }
}