Go: package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
)

const BIG_COST = 200000

type Path struct {
	node int
	cost int
}

func main() {
	sc := bufio.NewScanner(os.Stdin)
	sc.Split(bufio.ScanWords)

	nNodes := scanInt(sc)

	// 各頂点につながる頂点一覧を得るための隣接リスト
	graph := make([][]Path, nNodes)

	for i := 0; i < nNodes; i++ {
		u := scanInt(sc)
		k := scanInt(sc)
		graph[i] = make([]Path, k)
		for d := 0; d < k; d++ {
			graph[u][d] = Path{
				node: scanInt(sc),
				cost: scanInt(sc),
			}
		}
	}

	// 0 から各頂点への最小コストを保存する配列
	minCosts := make([]int, nNodes)

	minCosts[0] = 0
	for i := 1; i < nNodes; i++ {
		minCosts[i] = BIG_COST
	}

	// 各頂点が調査済みかどうかを保持する配列
	checked := make([]bool, nNodes)

	// 最小コストのパスを高速に取得するためのヒープ。
	// コストが小さいものほどルートに来るようにする。
	heap := NewHeap(func(a, b Path) bool {
		return a.cost < b.cost
	})

	heap.insert(Path{node: 0, cost: 0})
	for heap.size > 0 {
		u := heap.extractMax()

		// 隣接行列を使っていた時とは違い、ヒープには
		// 同じノードへのパスが複数含まれうる。そのため既によりコストの低い
		// パスが見つかっている場合は無視する。
		if minCosts[u.node] < u.cost {
			continue
		}

		checked[u.node] = true

		for _, v := range graph[u.node] {
			cost := v.cost + u.cost
			if !checked[v.node] && cost < minCosts[v.node] {
				minCosts[v.node] = cost
				heap.insert(Path{node: v.node, cost: cost})
			}
		}
	}

	w := bufio.NewWriter(os.Stdout)
	for i, cost := range minCosts {
		fmt.Fprintf(w, "%d %d\n", i, cost)
	}
	w.Flush()
}

func scanInt(sc *bufio.Scanner) int {
	sc.Scan()
	v, _ := strconv.Atoi(sc.Text())
	return v
}

// --- From ALDS1_9_C: Priority Queue

type Heap struct {
	size   int
	heap   []Path
	isHigh func(a, b Path) bool
}

func NewHeap(isHigh func(a, b Path) bool) Heap {
	heap := make([]Path, 1) // 先頭は不使用
	return Heap{size: 0, heap: heap, isHigh: isHigh}
}

func (h *Heap) insert(v Path) {
	h.size += 1
	if h.size > len(h.heap)-1 {
		h.heap = append(h.heap, v)
	} else {
		h.heap[h.size] = v
	}

	for i := h.size; i > 1; {
		parent := i / 2
		if h.isHigh(h.heap[parent], h.heap[i]) {
			break
		}
		h.heap[i], h.heap[parent] = h.heap[parent], h.heap[i]
		i = parent
	}
}

func (h *Heap) extractMax() Path {
	if h.size <= 0 {
		panic("cannot extract from empty heap")
	}

	max := h.heap[1]
	h.heap[1] = h.heap[h.size]
	h.size -= 1
	h.maxHeapify(1)

	return max
}

func (h *Heap) maxHeapify(idx int) {
	left := idx * 2
	right := left + 1
	largest := idx

	if left <= h.size {
		if h.isHigh(h.heap[left], h.heap[idx]) {
			largest = left
		}
		if right <= h.size && h.isHigh(h.heap[right], h.heap[largest]) {
			largest = right
		}
	}

	if largest != idx {
		h.heap[idx], h.heap[largest] = h.heap[largest], h.heap[idx]
		h.maxHeapify(largest)
	}
}

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

const int MAX = 10010;
const int INF = INT_MAX;

int n;
int dist[MAX];
typedef pair<int, int> VC;
typedef pair<int, int> VD;
vector< vector<VC> > G;

void dijkstra(int s)
{
  priority_queue<VD, vector<VD>, function<bool(VD, VD)>> que(
    [](VD a, VD b) { return a.second >= b.second; }
  );

  dist[s] = 0;
  que.push(make_pair(s, dist[s]));
  while (!que.empty()) {
    VD vd= que.top(); que.pop();
    int u = vd.first, d = vd.second;
    for (int i = 0; i < G[u].size(); i++) {
      int v = G[u][i].first, c = G[u][i].second;
      if (dist[v] > d + c) {
        dist[v] = d + c;
        que.push(make_pair(v, dist[v]));
      }
    }
  }
}

int main()
{
  cin >> n;

  fill(dist, dist+n, INF);
  G = vector< vector<VC> >(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));
    }
  }

  dijkstra(0);

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

  return EXIT_SUCCESS;
}

C++: #include<iostream>
#include<vector>
#include<queue>
#include<algorithm>
#define P pair<int, int>

using namespace std;
const int MAX = 1<<30;

int main(){
  int n, d[10009];
  vector<P> G[10009];
  queue<int> Q;
  cin >> n;
  for(int i=0;i<n;i++){
    int u, k, v, c;
    cin >>u >> k;
    for(int j=0;j<k;j++){
      cin >> v >> c;
      G[u].push_back(P(v, c));
    }
    d[i] = MAX;
  }
  d[0] = 0;
  Q.push(0);
  while(!Q.empty()){
    int cur = Q.front();Q.pop();
    for(int i=0;i<G[cur].size();i++){
      int next = G[cur][i].first, weight = G[cur][i].second;
      if(weight + d[cur]< d[next]){
        d[next] = weight + d[cur];
        Q.push(next);
      }
    }
  }
  for(int i=0;i<n;i++)cout << i << ' ' << d[i] << endl;
}

C++: //
// Created by yuu on 2019-06-20.
//

#include <iostream>
#include <string>
#include <algorithm>
#include <vector>
#include <map>
#include <utility>
#include <math.h>
#include <stack>
#include <queue>
#include <cstdio>

using namespace std;

#define MAX 10010
#define INF 1<<20

vector<pair<int, int>> adj[MAX];
int N;

void dijkstra(int start){
    priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> PQ;
    int d[MAX];
    int check[MAX];
    for (int i = 0; i < N; ++i) {
        d[i] = INF;
        check[i] = -1;
    }

    d[0] = 0;
    check[0] = 0;
    PQ.push(make_pair(0, start));

    while(!PQ.empty()) {
        pair<int, int> f = PQ.top();
        PQ.pop();
        int u = f.second;
        check[u] = 1;

        //　接続先が小さい
        if (d[u] < f.first)continue;

        for (int i = 0; i < adj[u].size(); ++i) {
            int v = adj[u][i].first;
            if (check[v] == 1)continue;

            if (d[v] > d[u] + adj[u][i].second) {
                d[v] = d[u] + adj[u][i].second;
                PQ.push(make_pair(d[v], v));
                check[v] = 0;
            }
        }

    }

    for (int i = 0; i < N; ++i) {
        cout<<i<<" "<< (d[i] == INF? -1 : d[i])<<endl;
    }
}

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

    for (int i = 0; i < N; ++i) {
        cin>>u>>k;
        for (int j = 0; j < k; ++j) {
            cin>>v>>c;
            adj[u].push_back(make_pair(v, c));
        }
    }

    dijkstra(0);






    return 0;
}

C++: #include<iostream>
#include<cstdio>
#include<string>
#include<algorithm>
#include<cstring>
#include<vector>
#include<queue>
using namespace std;
#define INT(x) int x; scanf("%d",&x)
#define INPUT(x) scanf("%d",&x)
#define REP1(x,n) for(int x = 0; x < n; x++)
#define REP2(x,s,e) for(int x = s; x <= e; x++)
#define BR printf("\n")
#define INF 2000000000

class edge{
public:
    int toid;
    int norm;
    int dist;
    edge(int toid,int norm,int dist){
        this -> toid = toid;
        this -> norm = norm;
        this -> dist = dist;
    }
    bool operator < (const edge &E) const {
        return dist < E.dist;
    }
    bool operator > (const edge &E) const {
        return dist > E.dist;
    }
};

vector<edge> V[10000];
int d[10000];
int count_P = 0;
priority_queue<edge,vector<edge>,greater<edge> > PQ;

void Dijksra(int i,int dist,int n){
    PQ.pop();
    d[i] = dist;
    count_P++;
    if(count_P == n) return;
    
    REP1(k,V[i].size()){
        if (d[V[i][k].toid] == INF && V[i][k].dist > dist + V[i][k].norm){
            V[i][k].dist = dist + V[i][k].norm;
            PQ.push(V[i][k]);
        }
    }
    
    while (d[PQ.top().toid] != INF) PQ.pop();
    if (!PQ.empty()) Dijksra(PQ.top().toid,PQ.top().dist,n);
}

int main(){
    INT(N);
    REP1(i,N) d[i] = INF;
    REP1(i,N){
        int from,n;
        scanf("%d %d",&from,&n);
        REP1(j,n){
            int toid,norm;
            scanf("%d %d",&toid,&norm);
            edge E = edge(toid,norm,INF);
            V[i].push_back(E);
        }
    }
    
    PQ.push(edge(0,0,0));
    Dijksra(PQ.top().toid,0,N);
    
    REP1(i,N){
        printf("%d %d\n",i,d[i]);
    }
    
    return 0;
}