Go: package main

import (
	"bufio"
	"container/heap"
	"fmt"
	"os"
	"strconv"
)

//make priority queue
type Item struct {
	id       int
	priority int // this state is priority and distans from start
	index    int
}

type PriorityQueue []*Item

func (pq PriorityQueue) Len() int { return len(pq) }

// we want the ascending-priority-queue.
// So we use less than here.
func (pq PriorityQueue) Less(i, j int) bool {
	return pq[i].priority < pq[j].priority
}

func (pq PriorityQueue) Swap(i, j int) {
	pq[i], pq[j] = pq[j], pq[i]
	pq[i].index = j
	pq[j].index = i
}

func (pq *PriorityQueue) Push(x interface{}) {
	n := len(*pq)
	item := x.(*Item)
	item.index = n
	*pq = append(*pq, item)
}

func (pq *PriorityQueue) Pop() interface{} {
	old := *pq
	n := len(old)
	item := old[n-1]
	item.index = -1 //for safety
	*pq = old[0 : n-1]
	return item
}

func (pq *PriorityQueue) update(dist int, id int) {
	for _, i := range *pq {
		if i.id == id {
			if i.priority > dist {
				i.priority = dist
			}
		}
	}
}

// the main code
func nextInt(sc *bufio.Scanner) int {
	sc.Scan()
	n, _ := strconv.Atoi(sc.Text())
	return n
}

func dikstra(dist *[][]int, n int) *[]int {
	// preparate priority queue
	inf := 1 << 30
	pq := make(PriorityQueue, n)
	shortests := make([]int, n)
	for i := 0; i < n; i++ {
		pq[i] = &Item{
			id:       i,
			priority: inf,
			index:    i,
		}

		shortests[i] = inf
	}
	pq[0].priority = 0
	shortests[0] = 0
	heap.Init(&pq)

	for pq.Len() > 0 {
		item := heap.Pop(&pq).(*Item)
		shortests[item.id] = item.priority
		for id, d := range (*dist)[item.id] {
			if d != -1 {
				pq.update(item.priority+d, id)
			}
		}
		heap.Init(&pq)
	}
	return &shortests
}

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

	// init
	n := nextInt(sc)
	dist := make([][]int, n)
	for i := 0; i < n; i++ {
		dist[i] = make([]int, n)
		for j := 0; j < n; j++ {
			dist[i][j] = -1
		}
	}

	// std Input
	for i := 0; i < n; i++ {
		u := nextInt(sc)
		k := nextInt(sc)
		for j := 0; j < k; j++ {
			v, c := nextInt(sc), nextInt(sc)
			dist[u][v] = c
		}
	}

	shortests := dikstra(&dist, n)
	for i, d := range *shortests {
		fmt.Printf("%d %d\n", i, d)
	}
}

C++: #include<iostream>
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define rep(i,n) for(int i=0;i<n;i++)

/* 大文字を小文字に変換 */
char tolower(char c) {return (c + 0x20);}
/* 小文字を大文字に変換 */
char toupr(char c) {return (c - 0x20);}

// if('A'<=s[i] && s[i]<='Z') s[i] += 'a'-'A';

/*
string s = "abcdefg"
s.substr(4) "efg"
s.substr(0,3) "abc"
s.substr(2,4) "cdef"
*/

static const int MAX = 10000;
static const int INFTY = (1<<20);   // pow(10,19);
static const int WHITE = 0;
static const int GRAY = 1;
static const int BLACK = 2;

int n;
vector<pair<int, int> > adj[MAX];   // 重み付き有向グラフの隣接リストを表現

void dijkstra(){
    priority_queue<pair<int, int> > PQ;
    int color[MAX], d[MAX];
    rep(i, n){
        d[i] = INFTY;
        color[i] = WHITE;
    }
    d[0] = 0; color[0] = GRAY;
    PQ.push(make_pair(0, 0));

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

        color[u] = BLACK;

        // 最小値を取り出し、それが最短でなければ無視
        if(d[u] < f.first*(-1)) continue;

        rep(j,adj[u].size()){
            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;
                // priority_queueは、デフォルトで大きい値を優先するため-1をかける
                PQ.push(make_pair(d[v]*(-1), v));
                color[v] = GRAY;
            }
        }
    }
    rep(i,n){
        cout << i << " " << (d[i] == INFTY ? -1 : d[i]) << endl;
    }
}

int main()
{
    int k, u, v, c;
    cin >> n;
    rep(i,n){
        cin >> u >> k;
        rep(j,k){
            cin >> v >> c;
            adj[u].push_back(make_pair(v, c));
        }
    }

    dijkstra();

    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];   // 重み付き有向グラフの隣接リスト表現

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;

        // 最小値を取り出し、それが最短でなければ無視
        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));  // priority_queue はデフォルトで大きい値を優先するため -1 を掛ける
                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;
    int i, j;

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

    dijkstra();

    return 0;
}

C++: #include <iostream>
#include <vector>
#include <queue>
#include <climits>

struct Node {
	int id;
	std::vector<int> edge_to;
	std::vector<int> edge_cost;
	bool done;
	int cost;
};

bool operator>(const Node& u, const Node& v) { return u.cost > v.cost; }
bool operator<(const Node& u, const Node& v) { return u.cost < v.cost; }
bool operator>=(const Node& u, const Node& v) { return u.cost >= v.cost; }
bool operator<=(const Node& u, const Node& v) { return u.cost <= v.cost; }
bool operator==(const Node& u, const Node& v) { return u.id == v.id; }
bool operator!=(const Node& u, const Node& v) { return u.id != v.id; }

void swap(int& x, int& y)
{
	int tmp = x;
	x = y;
	y = tmp;
}

int min(int x, int y)
{
	return x>y ? y : x;
}

int main()
{
	int n; std::cin >> n;
	
	Node* nodes = new Node[n];
	
	for (int i=0; i<n; i++) {
		nodes[i].done = false;
		nodes[i].cost = INT_MAX;
	}
	
	for (int i=0; i<n; i++) {
		int id, deg;
		std::cin >> id >> deg;
		nodes[i].id = id;
		for (int j=0; j<deg; j++) {
			int t, cost;
			std::cin >> t >> cost;
			nodes[i].edge_to.push_back(t);
			nodes[i].edge_cost.push_back(cost);
		}
	}
	
	std::priority_queue<Node, std::vector<Node>, std::greater<std::vector<Node>::value_type>> que;
	que.push(nodes[0]);
	nodes[0].cost = 0;
	
	while (!que.empty()) {
		Node v = que.top(); que.pop();
		int s = v.id;
		// std::cout << s << " " << nodes[s].cost << std::endl;
		nodes[s].done = true;
		for (int k=0; k<nodes[s].edge_to.size(); k++) {
			int t = nodes[s].edge_to[k];
			int cost = nodes[s].edge_cost[k];
			if (nodes[t].done) continue;
			if ( nodes[t].cost > nodes[s].cost + cost) {
				nodes[t].cost = nodes[s].cost + cost;
				que.push(nodes[t]);
			}
		}
	}
	
	for (int i=0; i<n; i++) {
		std::cout << nodes[i].id << " " << nodes[i].cost << std::endl;
	}
	
	delete[] nodes;
	
	return 0;
}