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 <queue>
#include <utility>
#include <vector>
using namespace std;

const int MAX_N = 100;
const int INF = (1 << 21);

int N;
vector<pair<int, int> > A[MAX_N];

void dj() {
  int d[MAX_N], c[MAX_N];

  // (first: distance*-1, second: adjacent)
  priority_queue<pair<int, int> > PQ; 

  for (int i = 0; i < N; i++) {
    d[i] = INF;
    c[i] = -1;
  }

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

  while (!PQ.empty()) {
    pair<int, int> t = PQ.top(); PQ.pop();
    int cur_n = t.second;
    c[cur_n] = 1;

    if (d[cur_n] < t.first * -1) continue;

    for (int i = 0; i < A[cur_n].size(); i++) {
      int adj_n = A[cur_n][i].first;

      if (c[adj_n] == 1) continue;

      if (d[cur_n] + A[cur_n][i].second < d[adj_n]) {
        d[adj_n] = d[cur_n] + A[cur_n][i].second;
        PQ.push(make_pair(d[adj_n] * -1, adj_n));
        c[adj_n] = 0;
      }
    }
  }

  for (int i = 0; i < N; i++)
    cout << i << ' ' << d[i] << endl;
}

int main() {
  cin >> N;

  for (int i = 0; i < N; i++) {
    int cur_n, k; cin >> cur_n >> k;

    for (int j = 0; j < k; j++) {
      int u, v; cin >> u >> v;
      A[cur_n].push_back(make_pair(u, v));
    }
  }

  dj();

  return 0;
}

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

static const int N = 10000;
static const int inf = (1 << 30);
static const int white = 0;
static const int gray = 1;
static const int black = 2;

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

void dijkstra(int s) {
	int color[N], d[N];
	for (int i = 0; i < n; i++) {
		color[i] = white;
		d[i] = inf;
	}
	priority_queue<pair<int, int> > PQ;
	d[s] = 0;
	color[s] = gray;
	PQ.push(make_pair(s, 0));
	while (!PQ.empty()) {
		pair <int, int> f = PQ.top();
		PQ.pop();
		int u = f.second;
		color[u] = black;
		for (int k = 0; k < adj[u].size(); k++) {
			int v = adj[u][k].first;
			if (color[v] == black)
				continue;
			if (d[v] > d[u] + adj[u][k].second) {
				d[v] = d[u] + adj[u][k].second;
				PQ.push(make_pair(d[v] * (-1), v));
				color[v] = gray;
			}
		}
	}
	for (int i = 0; i < n; i++) {
		if (d[i] == inf) {
			cout << i << " " << -1 << '\n';
		} else {
			cout << i << " " << d[i] << '\n';
		}
	}
}
int main() {
	cin >> n;
	int u, k, v, c;
	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 <bits/stdc++.h>
 
using namespace std;
 
#define FOR(i,s,e) for((i)=(s);(i)<(int)(e);(i)++)
#define REP(i,e) FOR(i,0,e)
 
#define all(o) (o).begin(), (o).end()
#define psb(x) push_back(x)
#define mp(x,y) make_pair((x),(y))
 
typedef long long ll;
typedef pair<int, int> PII;
 
const double EPS = 1e-10;
 
typedef struct edge_def {
  int from;
  int to;
  int cost;
 
  edge_def(int _from, int _to, int _cost) {
    from = _from;
    to   = _to;
    cost = _cost;
  }
} edge;
 
const int INF = INT_MAX;
const int V = 10000;
int n, t;
vector<edge> es[V];
int d[V];
 
void dijkstra(int s) {
  int i;
  priority_queue<PII, vector<PII>, greater<PII > > q;
  for (i=0; i<n; i++) d[i] = INF;
  d[s] = 0;
  q.push(PII(0, s));
 
  while (q.size()) {
    PII p = q.top();
    q.pop();
    int v = p.second;
 
    if (d[v] < p.first) continue;
 
    for (i=0; i<(int)es[v].size(); i++) {
      edge e = es[v][i];
      if (d[e.to] > d[v] + e.cost) {
        d[e.to] = d[v] + e.cost; 
        q.push(PII(d[e.to], e.to));
      }
    }
  }
}
 
int main() {
  int i, j, k;
  int u, v, c;
  for (i=0; i<V; i++) es[i].clear();
 
  scanf("%d ", &n);
  for (i=0; i<n; i++) {
    scanf("%d%d ", &u, &k);
    for (j=0; j<k; j++) {
      scanf("%d%d ", &v, &c);
      es[u].psb(edge(u, v, c));
    }
  }
 
  dijkstra(0);
 
  for (i=0; i<n; i++) {
    printf("%d %d\n", i, d[i]);
  }
 
    return 0;
}

C++: #include<iostream>
#include<cstdio>
#define INFTY 2000000001
#define LEN 1000000
using namespace std;
struct edge {
  int from,to,cost,k;
};
edge es[LEN];
int main(){
  int n,u,k,E,c,v;
  int d[LEN];
  E = 0;
  cin>>n;
  for(int i=0;i<n;i++){
    cin>>u>>k;
    for(int j=0;j<k;j++){
      cin>>v>>c;
      es[E].from = u;
      es[E].to = v;
      es[E++].cost = c;
    }
  }
  for(int i=0;i<n;i++)d[i] = INFTY;
  d[0] = 0;
  while(true){
    bool update = false;
    for(int i=0;i<E;i++){
      edge e = es[i];
      if(d[e.from] != INFTY && d[e.to] > d[e.from] + e.cost){
    d[e.to] = d[e.from] + e.cost;
    update = true;
      }
    }
    if(update==false)break;
  }
  for(int i=0;i<n;i++)cout << i << " " << d[i] << endl;
  return 0;
}