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 REP(i,n) for(int i=0;i<(int)(n);i++)
using namespace std;

struct edge { int from, to, cost; };
const int MAX_V=100;
const int INF=1e9;

vector<edge> es;
int d[MAX_V];
int n;

void shortest_path(int s){
  REP(i, n) d[i] = INF;
  d[s] = 0;
  while(true){
    bool update = false;
    for(edge e : es){
      if(d[e.from] != INF && d[e.to] > d[e.from] + e.cost){
	d[e.to] = d[e.from] + e.cost;
	update = true;
      }
    }
    if(!update) break;
  }
}

int main(){
  cin>>n;
  REP(i,n){
    int u, k; cin>>u>>k;
    REP(j,k){
      edge e;
      e.from = u;
      cin>>e.to>>e.cost;
      es.push_back(e);
    }
  }
  shortest_path(0);
  REP(i,n){
    cout<<i<<" "<<d[i]<<endl;
  }
}

C++: #include <iostream>
#include <cstdlib>
#include <cstdio>
#include <vector>
#include <algorithm>
#include <set>
#include <cstring>
#include <cmath>
using namespace std;

#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define REP(i, k, n) for (int i = (int)(k); i < (int)(n); i++)
#define rrep(i, n) for (int i = (int)(n)-1; i >= 0; i--)
#define rREP(i, k, n) for (int i = (int)(n)-1; i >= k; i--)

#define debug(x) cerr<<#x<<": "<<x<<'\n'

#define fi first
#define se second

#define vi vector<int>
#define pb push_back
#define mp make_pair

#define pcnt __builtin_popcount

typedef long long ll;

const ll inf = 99900100100;
const int MOD = 998244353;
const double EPS = 1e-9;

vector<vector<pair<int,int> > > G(110);

int main(){
    cin.tie(0);
    ios_base::sync_with_stdio(false);
    int n;
    cin >> n;
    rep(i,n){
      int u,k;
      cin >> u >> k;
      rep(j,k){
        int v,c;
        cin >> v >> c;
        G[u].push_back(mp(v,c));
        G[v].push_back(mp(u,c));
      }
    }
    ll d[110] = {};
    rep(i,110) d[i] = inf;
    d[0] = 0;
    while(true){
        bool update = false;
        rep(i,n){
          for(auto o : G[i]){
            if(d[o.fi] > d[i]+o.se){
                d[o.fi] = d[i]+o.se;
                update = true;
            }
          }
        }
        if(!update) break;
    }
    rep(i,n) cout << i << " " << d[i] << endl;
    return 0;
}

C++: #include <iostream>
#include <set>
using namespace std;
    int d[101];
    int G[101][101]={};
void krusta(int n){
    int color[101],l,m;
    for(int i=0;i<n;i++){
        d[i]=1000000;
        color[i]=0;
    }
    d[0]=0;
    while(1){
        m=1000000;
        for(int i=0;i<n;i++){
            if(color[i]!=1 && d[i]<m){
                m=d[i];
                l=i;
            }
        }
        color[l]=1;
        if(m==1000000){
            break;
        }
        for(int i=0;i<n;i++){
            if(color[i]!=1 && G[l][i]!=0 && G[l][i]+d[l]<d[i]){
                d[i]=G[l][i]+d[l];
            }
        }
    }
}
int main(){
    int n,v,k,c,u;
    cin>>n;
    for(int i=1;i<=n;i++){
        cin>>u>>k;
        for(int j=0;j<k;j++){
            cin>>v>>c;
            G[u][v]=c;
        }
    }
    krusta(n);
    for(int i=0;i<n;i++){
        cout<<i<<" "<<d[i]<<endl;
    }
    return 0;
}

C++: #include <queue>
#include <cstdio>
#include <vector>
using namespace std;
int V, E, s, t, p, q, d[100]; vector<pair<int, int> > G[100];
int main() {
	scanf("%d%d", &V, &E);
	for(int i = 0; i < V; i++) {
		scanf("%d%d", &s, &t);
		for(int j = 0; j < t; j++) {
			scanf("%d%d", &p, &q);
			G[i].push_back(make_pair(p, q));
		}
	}
	for(int i = 1; i < V; i++) d[i] = 999999999;
	priority_queue<pair<int, int> > que; que.push(make_pair(0, 0));
	while(!que.empty()) {
		int v = que.top().second; que.pop();
		for(int i = 0; i < G[v].size(); i++) {
			int u = G[v][i].first, w = G[v][i].second;
			if(d[u] > d[v] + w) {
				d[u] = d[v] + w;
				que.push(make_pair(-d[u], u));
			}
		}
	}
	for(int i = 0; i < V; i++) printf("%d %d\n", i, d[i]);
	return 0;
}

C++: #include<iostream>
#include<vector>
#include<algorithm>
#define MAX_V 100
#define INF 1e9
using namespace std;
int cost[MAX_V][MAX_V];
int d[MAX_V];
bool used[MAX_V];
int V;
void dijkstra(int s) {
	for (int i = 0; i < V; i++) {
		d[i] = INF;
		used[i] = false;
	}
	d[s] = 0;
	while (true) {
		int v = -1;
		for (int u = 0; u < V; u++) {
			if (!used[u] && ((v == -1) || d[u] < d[v])) {
				v = u;
			}
		}
		//全ての頂点が到達済み
		if (v == -1) {
			break;
		}
		//集合に新たに頂点を追加
		used[v] = true;
		for (int u = 0; u < V; u++) {
			d[u] = min(d[u], d[v] + cost[v][u]);
		}
	}
}

int main() {
	for (int i = 0; i < V+55; i++) {
		for (int j = 0; j < V+55; j++) {
			cost[i][j] = INF;//iからjへの辺の重さ
		}
	}
	cin >> V;
	for (int i = 0; i < V; i++) {
		int u;
		cin >> u;
		int k;
		cin >> k;
		for (int j = 0; j < k; j++) {
			int v;
			cin >> v;
			int c;
			cin >> c;
			cost[u][v] = c;
		}
	}
	dijkstra(0);

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

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

#define INF (INT64_MAX/2)
typedef pair<long long, int> P;

int main()
{
	int n;
	cin >> n;
	vector<vector<P>> g( n );
	for( int i = 0; i < n; i++ ) {
		int u, k;
		cin >> u >> k;
		g[u].resize( k );
		for( int j = 0; j < k; j++ ) {
			int v, c;
			cin >> v >> c;
			g[u][j] = P( c, v );
		}
	}

	vector<long long> d( n, INF );
	d[0] = 0;
	priority_queue<P, vector<P>, greater<P>> que;
	que.push( P( 0, 0 ) );
	while( !que.empty() ) {
		P p = que.top();
		que.pop();
		int c = p.first;
		int u = p.second;
		for( P e : g[u] ) {
			int cost = e.first;
			int v = e.second;
			if( d[v] <= d[u] + cost ) continue;
			d[v] = d[u] + cost;
			que.push( e );
		}
	}

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