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>
#define REP(i,n) for(int i=0;i<(int)(n);i++)
typedef long long int ll;
using namespace std;

const int MAX_V = 10000;
const int INF=1e9;

int cost[MAX_V][MAX_V];
int d[MAX_V];
bool used[MAX_V];
int n;

void dijkstra(int s){
  fill(d,d+n,INF);
  fill(used, used+n,false);
  d[s]=0;
  while(true){
    int v=-1;
    REP(u,n)
      if(!used[u] && (v==-1 || d[u]<d[v]))
	v=u;
    if(v==-1) break;
    used[v]=true;
    REP(u,n) d[u]=min(d[u],d[v]+cost[v][u]);
  }
}

int main(){
  cin>>n;
  REP(i,n)REP(j,n) cost[i][j]=INF;
  REP(i,n){
    int u, k; cin>>u>>k;
    REP(j,k){
      int v,c;
      cin>>v>>c;
      cost[u][v]=c;
    }
  }
  dijkstra(0);
  REP(i,n){
    cout<<i<<" "<<d[i]<<endl;
  }
}

C++: #include <iostream>
#include <stdio.h>
#include <vector>

#define inf 500000
using namespace std;

int main() {
    int n, tmp, tmp2, kazu;
    cin >> n;
    vector<vector<int> > g(n);//与えられるグラフ

    //初期化
    vector <int> d(n,inf);
    for (int i = 1; i < n; ++i) {
        d[i] = inf;
    }

    //入力を受け取る
    for (int i = 0; i < n; ++i) {
        cin >> kazu;
        cin >> kazu;
        g[i].push_back(i);
        g[i].push_back(0);
        for (int j = 0; j < kazu; ++j) {
            cin >> tmp >> tmp2;
            g[tmp].push_back(i);
            g[tmp].push_back(tmp2);
        }
    }
/*
    for (int i = 0; i < n; ++i) {
        for (int j = 0; j < g[i].size(); ++j) {
            cout << g[i][j] << " ";
        }
        cout << endl;
    }
    */
    d[0]=0;
    bool flag = true;
    while(flag){
        flag = false;
        for (int i = 0; i < n; ++i) { // i 今最短経路を求めているノード
/*
            for (int l = 0; l < n; ++l) {
                cout << d[i] << " ";
            }
            cout << endl;
*/
            for (int j = 0; j < g[i].size()/2; ++j) { // i j の組でその２点間の重み
                //cout << i << " " << j << " " << d[i] << " " << d[j*2] << " " << g[i][i*2+1] << endl;
                if (d[i] > d[g[i][j*2]] + g[i][j*2+1]) {
                    d[i] = d[g[i][j*2]] + g[i][j*2+1];
                    flag = true;

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


    return 0;
}

C++: #include<iostream>
using namespace std;
#include<queue>
#include<vector>
#include<string>
#include<string.h>
#include<algorithm>
bool b[2003];

#define REP(i, a) for(int i=0;i<a;i++)

int main()
{
	int min,b,a,k,m[101][101],n ,e,p[101],d[101],u,v; //u ?????????v????????¨
	bool color[101];
	cin>>n;
	REP(i, n) {
		REP(j, n) {
		m[i][j]=2001;
		}
	}
	REP(i, n) {
		cin>>u>>k;
		REP(i, k) {
			cin>>a>>b;
			m[u][a]=b;
			if(m[u][a]==-1) m[u][a]=2001;
		}
		color[i]=0;
		d[i]=2001;
	}
	a=0;
	d[0]=0;
	while(1){
		min=2001;
		u=-1;
		REP(i,n){
			if(min>d[i]&&color[i]==0){
				min=d[i];
				u=i;
			}
		}
		if(u==-1) break;
		color[u]=1;
		REP(i,n){
			if(color[i]==0&&m[u][i]!=2001){
				if(d[i]>m[u][i]+d[u]){
					d[i]=m[u][i]+d[u];
				}
			}
		}

	}
	min=0;
	REP(i,n){
		cout<<i<<" "<<(d[i] == 2001 ? -1 : d[i])<<endl;
	
	}
	return 0;
}

C++: #include "bits/stdc++.h"
using namespace std;
int main()
{
    int n, inf = 100000000;
    scanf("%d", &n);
    vector<vector<pair<int, int>>> a(n, vector<pair<int, int>>(0));
    for (int i = 0, u, k; i < n; i++)
    {
        scanf("%d %d", &u, &k);
        for (int j = 0, v, c; j < k; j++)
        {
            scanf("%d %d", &v, &c);
            a[i].push_back(make_pair(c, v));
        }
    }
    
    vector<int> cost(n, inf), vis(n, 0);
    priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>> > q;
    cost[0] = 0;
    q.push(make_pair(0, 0));
    for (pair<int, int> t; !q.empty(); )
    {
        
        t = q.top();
        q.pop();
        vis[t.second] = true;
        if (cost[t.second] < t.first)
        {
            continue;
        }
        for (int i = 0; i < a[t.second].size(); i++)
        {
            pair<int, int> j = a[t.second][i];
            if (!vis[j.second] && cost[j.second] > cost[t.second] + j.first)
            {
                cost[j.second] = cost[t.second] + j.first;
                q.push(make_pair(cost[j.second], j.second));
            }
        }
    }
    for (int i = 0; i < n; i++)
    {
        printf("%d %d\n", i, cost[i]);
    }
}

C++: #include<bits/stdc++.h>
using namespace std;
#define int long long
typedef pair<int,int> P;
vector<vector<P> > G;
signed main(){
  int n;
  cin>>n;
  int INF=1LL<<55LL;
  G.resize(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(P(v,c));
    }
  }
  int d[n];
  for(int i=0;i<n;i++) d[i]=INF;
  d[0]=0;

  priority_queue<P,vector<P>,greater<P> > q;
  d[0]=0;
  q.push(P(0,0));

  while(!q.empty()){
    P p=q.top();q.pop();
    int u=p.second,c=p.first;
    //cout<<u<<" "<<c<<endl;
    if(d[u]<c) continue;
    for(P e:G[u]){
      int v=e.first,w=e.second;
      if(d[v]>d[u]+w){
	d[v]=d[u]+w;
	q.push(P(d[v],v));
	//cout<<v<<":"<<d[v]<<endl;
      }
    }
  }
  
  for(int i=0;i<n;i++) cout<<i<<" "<<d[i]<<endl;
  return 0;
}