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 <iostream>
#include <algorithm>
#include <queue>
using namespace std;
static const int MAX = 10000;
static const int INFTY = (1 << 20);
static const int WHITE = 0;
static const int GRAY = 1;
static const int BLACK = 2;

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

void dijkstra()
{
    priority_queue< pair <int, int> > PQ;
    int color[MAX];
    int d[MAX];
    for (int i = 0; i < n; i++)
    {
        d[i] = INFTY;
        color[i] = WHITE;
    }

    d[0] = 0;
    PQ.push(make_pair(0, 0));
    color[0] = GRAY;

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

        if (d[u] < f.first * (-1))
        {
            continue;
        }

        for (int j = 0; j < adj[u].size(); j++)
        {
            int v = adj[u][j].first;
            if (color[v] == BLACK)
            {
                continue;
            }
            if (d[v] > d[u] + adj[u][j].second)
            {
                d[v] = d[u] + adj[u][j].second;
                PQ.push(make_pair(d[v] * (-1), v));
                color[v] = GRAY;
            }
        }
    }

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

int main()
{
    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();
    return 0;
}

C++: #include<iostream>
#include<cstring>
#include<algorithm>
using namespace std;

int x[10000][2000];
int x2[10000][2000];
int y[10000];
int z[10000];

int main() {
	memset(x, 1, sizeof(x));
	memset(y, 1, sizeof(y));
	int n, a, b, c, d, e;
	cin >> n;
	for (int i = 0; i < n; i++) {
		cin >> a >> b;
		for (int i = 0; i < b; i++) {
			cin >> c >> d;
			x[a][z[a]] = c;
			x2[a][z[a]] = d;
			z[a]++;
		}
	}
	y[0] = 0;
	e = min(n, 1600);
	for (int i = 0; i < e; i++) {
		for (int j = 0; j < n; j++) {
			for (int k = 0; k < z[j]; k++) {
				y[x[j][k]] = min(y[x[j][k]], y[j] + x2[j][k]);
			}
		}
	}
	for (int i = 0; i < n; i++) {
		cout << i << ' ' << y[i] << endl;
	}
	return 0;
}

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

#define MAX 10000
#define INF INT_MAX
#define WHITE 0
#define GRAY 1
#define BLACK 2

vector<pair<int, int> > M[MAX];
int n;
int col[MAX];
int d[MAX];

void init() {
	for (int i = 0; i < n; i++) {
		col[i] = WHITE;
		d[i] = INF;
	}
}
void input() {
	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;
			M[u].push_back(make_pair(v, c));
		}
	}
}
void dijkstra(int s) {
	d[s] = 0;
	priority_queue<pair<int, int> > PQ;
	PQ.push(make_pair(d[s] * (-1), s));
	col[s] = GRAY;
	while (!PQ.empty()) {
		pair<int, int> f = PQ.top();
		PQ.pop();
		int u = f.second;
		col[u] = BLACK;
		if (d[u] < f.first * (-1))
			continue;
		for (int j = 0; j < M[u].size(); j++) {
			int v = M[u][j].first;
			if (col[v] != BLACK) {
				if (d[u] + M[u][j].second < d[v]) {
					d[v] = d[u] + M[u][j].second;
					col[v] = GRAY;
					PQ.push(make_pair(d[v] * (-1), v));
				}
			}
		}
	}
}
void output() {
	for (int i = 0; i < n; i++) {
		cout << i << " " << d[i] << endl;
	}
}

int main() {
	cin >> n;
	init();
	input();
	dijkstra(0);
	output();
	return 0;
}

C++: #include<iostream>
#include<queue>
#include<vector>
#include<algorithm>
using namespace std;

int INF=1000000001;

typedef struct edge{
  int to;
  int cost;
}edge;

int N,E;
vector <edge> G[100001];
int mincost[100000];

void dikstra(){
  //priority_queue?????£?¨?
  typedef pair<int, int> P;
  priority_queue<P, vector<P>, greater<P> > Q;

  //mincost??????????????????????????????
  for(int i=0;i<N;i++){
    mincost[i]=INF;
  }
  mincost[0]=0;//??????????????°????????????0

  Q.push(P(0,0));
  //????????????????????????????????¬???
  while(!Q.empty()){
    int pos=Q.top().second;//position
    int pos_cost=Q.top().first;
    Q.pop();
    
    if(mincost[pos] < pos_cost ){
      continue;
    }

    for(int i=0;i<(int)G[pos].size();i++){
      edge e=G[pos][i];
      if(mincost[e.to]>pos_cost+e.cost){
        mincost[e.to]=pos_cost+e.cost;
        Q.push(P(mincost[e.to], e.to));
      }
    }
      
  }
  for(int i=0;i<N;i++){
      cout<<i<<' '<<mincost[i]<<endl;
    }
}

int main(){
  cin>>N;
  for(int i=0;i<N;i++){
    int id, k;
    cin >> id >> k;
    for(int j=0;j<k;j++){
      edge e;
      cin >> e.to >> e.cost;
      G[id].push_back(e);
    }
  }
  dikstra();
  return 0;
}