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
	distFromS int         // 始点からの距離
	color     color
}

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, math.MaxInt32, 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].distFromS = 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.distFromS < min {
				min = v.distFromS
				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

		// fmt.Printf(">[%v]\n", minNode)
		// MSTに属していない頂点それぞれについて,Startからの最小の重みの距離を更新
		for i, v := range nodes {
			if v.color == mst {
				continue
			}
			w, ok := minNode.weights[i]
			if !ok {
				// minNodeと接してない
				continue
			}

			if minNode.distFromS+w < v.distFromS {
				// minNode経由の距離がもっとも重みが少ないので親を変更
				v.distFromS = minNode.distFromS + w
				v.parent = minNode
				// fmt.Printf("[%v %v]\n", v, minNode)
			}
		}
		// fmt.Printf("<\n")
	}

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

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>
using namespace std;
int MOD = 1000000007;

struct edge {int to, cost; };
using P = pair<int , int>;
int V;
vector <edge> G[100010];
int d[100010];

void dijkstrra(int s){
    priority_queue <P, vector<P>, greater<P> > que;
    fill(d, d + V, 1000000000);
    d[s] = 0;
    que.push(P(0 , s));
    
    while(!que.empty()){
        P p = que.top(); que.pop();
        int v = p.second;
        if(d[v] < p.first)  continue;
        for(int i = 0; i < G[v].size(); i++){
            edge e = G[v][i];
            if(d[e.to] > d[v] + e.cost){
                d[e.to] = d[v] + e.cost;
                que.push(P(d[e.to], e.to));
            }
        }
    }
}

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

C++: // #include {{{
#include <array>
#include <vector>
#include <deque>
#include <queue>
#include <set>
#include <unordered_set>
#include <map>
#include <unordered_map>
#include <string>
#include <algorithm>
#include <numeric>
#include <functional>
#include <iterator>
#include <tuple>
#include <utility>
#include <random>
#include <limits>
#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <cstdint>
#include <cassert>
// }}}

using namespace std;

// macros {{{
template<typename T, size_t N>
constexpr size_t NELEMS(T (&)[N]) { return N; }

template<typename InputIt>
void PRINT_RANGE(InputIt first, InputIt last)
{
    for(; first != last; ++first)
        cout << *first << (first==last ? "" : " ");
    cout << "\n";
}

template<typename T>
void PRINT_MATRIX(T mat, size_t nr, size_t nc)
{
    for(size_t r = 0; r < nr; ++r) {
        for(size_t c = 0; c < nc; ++c) {
            cout << mat[r][c] << (c==nc-1 ? "" : " ");
        }
        cout << "\n";
    }
}

#define FOR(i, start, end) for(int i = (start); i < (end); ++i)
#define REP(i, n) FOR(i, 0, n)
// }}}

// types {{{
using ll  = long long;
using ull = unsigned long long;
// }}}

struct Edge {
    int to;
    int cost;
    Edge(int t, int c) : to(t), cost(c) {}
};

constexpr int INF = numeric_limits<int>::max();

int N;
vector<vector<Edge>> G;

/**
 * ???????§???????????????? Bellman-Ford???
 *
 * \return ???????????????????????° true, ????????° false
 */
bool bellmanford(int start, vector<int>& d)
{
    d.resize(N);
    fill(begin(d), end(d), INF);
    d[start] = 0;

    REP(i, N) {
        REP(v, N) {
            if(d[v] == INF) continue;
            for(Edge e : G[v]) {
                int cost_new = d[v] + e.cost;
                if(cost_new < d[e.to]) {
                    d[e.to] = cost_new;
                    if(i == N-1) return false;
                }
            }
        }
    }

    return true;
}

void solve()
{
    vector<int> d;
    bellmanford(0, d);

    REP(i, N) {
        cout << i << " " << d[i] << "\n";
    }
}

int main()
{
    cin >> N;
    G.resize(N);

    REP(_, N) {
        int from, k;
        cin >> from >> k;
        REP(_, k) {
            int to, cost;
            cin >> to >> cost;
            G[from].emplace_back(to, cost);
        }
    }

    solve();

    return 0;
}

C++: #include<iostream>
#include<cstdio>
#include<cstring>
#define INF 1<<20
using namespace std;
typedef unsigned long long ull;
int n;
int A[1000][1000];
bool used[1000];
ull D[1000][1000];
 
void Init(int f){
  for(int i=0;i<f;i++){
    for(int j=0;j<f;j++)D[i][j] = INF;
  }
 
}
 
int main(){
  scanf("%d",&n);
  int u,k,C,V;
  Init(n);
  
  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;
    D[V][u] = 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++){
    cout << i << " " << D[0][i] << endl;
  }
 
  return 0;
}

C++: #include<iostream>
#include<queue>
#include<algorithm>
#include<cstring>

using namespace std;

typedef pair<int,int>pii;
#define INF 0x3f3f3f3f
#define fi first
#define se second

int mcos[105];
vector <pii> G[105];
int N;


void dijkstra(int start){
  priority_queue<pii,vector<pii>,greater<pii> > pq;

  pq.push( pii(0,start) );
  memset( mcos,INF,sizeof(mcos));
  mcos[start]=0;

  
  while(!pq.empty() ){
    const pii tmp=pq.top();
    pq.pop();
    
    const int now=tmp.se;
    
    if(mcos[now] < tmp.fi) continue;
    
    for(int i=0;i<G[now].size();++i){
      const int newcost = G[now][i].fi + tmp.fi;
      const int next= G[now][i].se;
      
      if(newcost < mcos[next] ){
	mcos[next]=newcost;
	pq.push( pii(newcost,next) );
      }
    }
  }
  return ;
  
}

int main (){
  cin>>N;
  int k,u,v,c;

  for(int i=0;i<N;i++){
    cin>>u>>k;
    for(int j=0;j<k;j++){
      cin>>v>>c;
      G[u].push_back(make_pair(c,v));
    }
  }
  dijkstra(0);
  for(int i=0;i<N;i++){
    cout<<i<<" "<<mcos[i]<<endl;
  }
  return 0;
}