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 <stdio.h>
#include <string.h>
#include <algorithm>
#include <iostream>
#include <string>
#include <math.h>
#include <ctype.h>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <functional>
using namespace std;

typedef long long ll;
typedef pair<ll, int> pp;
#define mp(a, b) make_pair(a, b)

struct edge {
	int v, w;
	int next;
	edge() {}
	edge(int v_, int w_, int n_) : v(v_), w(w_), next(n_) {}
};

int n, cnt;
int head[10001];
edge e[600000];
bool vis[10001];
ll dis[10001];

void init()
{
	cnt = 0;
	memset(head, -1, sizeof head);
}
void addedge(int u, int v, int w)
{
	e[++cnt] = edge(v, w, head[u]); head[u] = cnt;
}
void dijkstra(int s)
{
	for (int i = 0; i < n; i++)
		vis[i] = 0, dis[i] = ll(1e18);
	dis[s] = 0; vis[s] = 1;
	for (int i = head[s]; i != -1; i = e[i].next)
		dis[e[i].v] = e[i].w;
	while(1)
	{
		int idx = -1;
		ll dist = 1e18;
		for (int j = 0; j < n; j++)
			if (!vis[j] && dist > dis[j])
			{
				idx = j;
				dist = dis[j];
			}
		if (idx == -1)
			break;
		vis[idx] = 1;
		for (int j = head[idx]; j != -1; j = e[j].next)
		{
			int v = e[j].v;
			ll w = e[j].w;
			if (!vis[v] && dis[v] > dis[idx] + w)
				dis[v] = dis[idx] + w;
		}
	}
}

int id[10001];

int main()
{
	int s;
	while (scanf("%d", &n) == 1)
	{
		init();
		for (int i = 0; i < n; i++)
		{
			int u, k;
			scanf("%d%d", &u, &k);
			id[i] = u;
			if (u == 0)
				s = i;
			while (k--)
			{
				int v, w;
				scanf("%d%d", &v, &w);
				addedge(u, v, w);
			}
		}
		dijkstra(s);
		for (int i = 0; i < n; i++)
			printf("%d %lld\n", id[i], dis[i]);
	}
	return 0;
}

C++:                                           
#include<stdio.h>
#include<stdlib.h>
#define N_MAX 10001
struct node{
  int key;
  int cost;
  struct node *next;
};
typedef struct node *Gg;
Gg G[N_MAX];
Gg MNode(int key,int cost,Gg Node){
  Gg n;
  n=(Gg)malloc(sizeof(struct node));
  n->key=key;
  n->cost=cost;
  n->next=Node;
  return n;
}
Gg Insert(int s,int t,int u){
  Gg GG;
  GG=MNode(t,u,G[s]->next);
  G[s]->next=GG;
}
int main(){
  int i,j,n,count=0,v,c,c1,v1;
  int color[N_MAX],D[N_MAX],pi[N_MAX],minC,ii;
  Gg GG;
  scanf("%d",&n);
  for(i=0;i<n;i++)G[i]=MNode(0,0,NULL);
  for(i=0;i<n;i++){
    scanf("%d%d",&v,&c);
    for(j=0;j<c;j++){
      scanf("%d%d",&v1,&c1);
    Insert(i,v1,c1);
  }
}
for(i=0;i<n;i++){
  color[i]=0;
  pi[i]=-1;
  D[i]=10000001;
 }
 D[0]=0;

while(1){
  minC=10000001;
  for(i=0;i<n;i++){
    if(color[i]!=2&&D[i]<minC){
      minC=D[i];
      ii=i;
    }
  }
  if(minC==10000001)break;
  color[ii]=2;
  for(GG=G[ii];GG!=NULL;GG=GG->next){
    if(color[GG->key]!=2&&(GG->cost+D[ii])<D[GG->key]){
        pi[GG->key]=ii;
        D[GG->key]=GG->cost+D[ii];
        color[GG->key]=1;
    }
  }
 }
 for(i=0;i<n;i++)printf("%d %d\n",i,D[i]);
return 0;
}

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] = GARY;

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] = GARY;
}
}
}

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 <cstdio>
#include <cstring>
#include <climits>
#include <vector>
#include <map>
using namespace std;

typedef vector<int>::iterator vitr;
typedef map<int, int>::iterator mitr;

map<int, int> w[100];
int d[100];

vector<int> a;
vector<int> b;

void findPath(){
    int candiW = INT_MAX;
    vitr candiI;
    for(vitr i=a.begin();i!=a.end();i++){
        for(vitr j=b.begin();j!=b.end();j++){
            mitr k = w[*i].find(*j);
            if(k == w[*i].end())continue;
            if(k->second + d[*i] < candiW){
                candiW = k->second + d[*i];
                candiI = j;
            }
        }
    }
    a.push_back(*candiI);
    d[*candiI] = candiW;
    b.erase(candiI);
}

int main(){
    int i,j,u,k,n,v,c;

    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);
            w[u][v] = c;
        }
    }

    d[0] = 0;
    a.push_back(0);
    for(i=1;i<n;i++)b.push_back(i);

    for(i=1;i<n;i++)findPath();

    for(i=0;i<n;i++)printf("%d %d\n",i,d[i]);

    return 0;
}