Go: package main

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

type Item struct {
	value    int // The value of the item; arbitrary.
	priority int // The priority of the item in the queue.
	// The index is needed by update and is maintained by the heap.Interface methods.
	index int // The index of the item in the heap.
}
type PriorityQueue []*Item

func (pq PriorityQueue) Len() int { return len(pq) }
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 = i
	pq[j].index = j
}
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
}

type Q struct {
	pq *PriorityQueue
	ds map[int]int // It has always same value as pq. For random access.
}

func newQ() *Q {
	pq := new(PriorityQueue)
	heap.Init(pq)
	return &Q{
		pq: pq,
		ds: make(map[int]int),
	}
}
func (q *Q) pop() (u, d int) {
	item := heap.Pop(q.pq).(*Item)
	delete(q.ds, item.value)
	return item.value, item.priority
}
func (q *Q) get(u int) (int, bool) { // returns d
	d, ok := q.ds[u]
	return d, ok
}
func (q *Q) set(u, d int) {
	q.ds[u] = d
	for _, item := range *q.pq {
		if item.value != u {
			continue
		}

		item.priority = d
		heap.Fix(q.pq, item.index)
		return
	}
	heap.Push(q.pq, &Item{
		priority: d,
		value:    u,
	})
}
func (q *Q) len() int {
	return len(q.ds)
}

func main() {
	r := bufio.NewReader(os.Stdin)

	var n int
	fmt.Fscan(r, &n)
	cs := make([]map[int]int, n) // []v_i -> c_i
	for h := 0; h < n; h++ {
		var u, k int
		fmt.Fscan(r, &u, &k)
		m := make(map[int]int)
		for i := 0; i < k; i++ {
			var v, c int
			fmt.Fscan(r, &v, &c)
			m[v] = c
		}

		cs[u] = m
	}

	q := newQ()
	q.set(0, 0)
	visited := make(map[int]struct{})
	out := make([]int, n)

	for q.len() > 0 {
		u, d := q.pop()
		for uu, c := range cs[u] {
			// Consider the connection between u and uu.
			if _, ok := visited[uu]; ok {
				continue
			}
			dd := d + c
			if d, ok := q.get(uu); !ok || d > dd {
				q.set(uu, dd)
			}
		}

		out[u] = d
		visited[u] = struct{}{}
	}

	for u, d := range out {
		fmt.Println(u, d)
	}
}

C++: #include <cstdio>           // printf(), getc(), scanf()
#include <cctype>           // isdigit()
#include <vector>
#include <queue>            // priority_queue
#include <algorithm>        // fill()
#include <utility>          // pair

using namespace std;

static const int MAX_V = 10000;
static const int INF = 100000000;

typedef pair<int, int> P;
struct edge
{
	int to;
	int cost;
};

vector<edge> G[MAX_V];
int V;

void
dijkstra()
{
	priority_queue<P, vector<P>, greater<P> > que;
	int d[MAX_V];
	int u;
	unsigned int v; 

	fill(d, d + V, INF);
	d[0] = 0;
	que.push(P(0, 0));

	while (!que.empty())
	{
		P p = que.top(); que.pop();
		int u = p.second;
		if (d[u] < p.first)
			continue;

		for (v = 0; v < G[u].size(); ++v)
		{
			edge e = G[u][v];
			if (d[u] + e.cost < d[e.to])
			{
				d[e.to] = d[u] + e.cost;
				que.push(P(d[e.to], e.to));
			}
		}
	}

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

int
main(int argc, char** argv)
{
	edge e;
	int u, v;
	int i, j, k;
	int n;
	int c;

	c = getc(stdin);
	while (c == ' ')
		c = getc(stdin);
	
	n = 0;
	while (isdigit(c))
	{
		n = n * 10 + c - '0';
		c = getc(stdin);
	}

	V = n;
	for (i = 0; i < V; ++i)
	{
		while (c == ' ' || c == '\n')
			c = getc(stdin);

		n = 0;
		while (isdigit(c))
		{
			n = n * 10 + c - '0';
			c = getc(stdin);
		}

		u = n;
		while (c == ' ')
			c = getc(stdin);

		n = 0;
		while (isdigit(c))
		{
			n = n * 10 + c - '0';
			c = getc(stdin);
		}

		k = n;
		for (j = 0; j < k; ++j)
		{
			while (c == ' ')
				c = getc(stdin);

			n = 0;
			while (isdigit(c))
			{
				n = n * 10 + c - '0';
				c = getc(stdin);
			}

			v = n;
			while (c == ' ')
				c = getc(stdin);

			n = 0;
			while (isdigit(c))
			{
				n = n * 10 + c - '0';
				c = getc(stdin);
			}

			e.to = v;
			e.cost = n;
			G[u].push_back(e);
		}
	}

	dijkstra();
	return 0;
}

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

int n;					//えぬ
int a[100][100] = {0};	//辺の重さ
int f[100] = {0};		//その頂点が調査済みかどうか

int main(){
	cin >> n;
	//まず辺の重さをaに入れる
	for ( int i = 0; i < n; i++ ) {
		for ( int j = 0; j < n; j++ ) {
			a[i][j] = -1;
		}
	}
	a[0][0] = 0;
	for ( int i = 0; i < n; i++ ) {
		int u;
		cin >> u;
		int k;
		cin >> k;
		for ( int j = 0; j < k; j++ ) {
			int v;
			cin >> v;
			cin >> a[u][v];
		}
	}
	for ( int i = 0; i < n - 1; i++ ) {
		int k = -1;
		int v = 0;
		for ( int j = 1; j < n; j++ ) {
			if ( a[0][j] == -1 || f[j] == 1 ) continue;
			if ( k == -1 || a[0][j] < k ) {
				v = j;
				k = a[0][j];
			}
		}
		f[v] = 1;
		for ( int j = 1; j < n; j++ ) {
			if ( v == j ) continue;
			if ( a[v][j] == -1 || f[j] == 1 ) continue;
			if ( a[0][j] == -1 || a[0][j] > a[0][v] + a[v][j] ) {
				a[0][j] = a[0][v] + a[v][j];
			}
		}
	}
	for ( int i = 0; i < n; i++ ) {
		cout << i << " " << a[0][i] << endl;
	}
	return 0;
}

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

using Weight=int;
struct Edge {
    int src,dest; Weight weight;
    bool operator<(const Edge &rhs)const{
        return weight<rhs.weight;
    }
};
using Edges=vector<Edge>;
using Graph=vector<Edges>;

const Weight INF=1e9;

void dijkstra(const Graph &g,int s,vector<Weight> &d)
{
    assert(0<=s && s<g.size());
    d.assign(g.size(),INF); d[s]=0;
    vector<int> used(g.size(),0);
    using P=pair<Weight,int>;
    priority_queue<P,vector<P>,greater<P>> que;
    que.push({0,s});
    while(!que.empty())
    {  
        auto val=que.top(); que.pop();
        Weight dist=val.first;
        int v=val.second;
        if(used[v]) continue;
        used[v]=true;
        for(auto e:g[v])
        {
            int to=e.dest;
            Weight w=e.weight;
            if(dist+w<d[to])
            {
                d[to]=dist+w;
                que.push({d[to],to});
            }
        }
    }
}

int main()
{
    int n;
    cin>>n;
    Graph g(n);
    for(int i=0;i<n;i++)
    {
        int k;
        cin>>k>>k;
        for(int j=0;j<k;j++)
        {
            int v;
            cin>>v;  
            Weight c;
            cin>>c;          
            g[i].push_back((Edge){i,v,c});
        }
    }
    vector<Weight> d;
    dijkstra(g,0,d);
    for(int i=0;i<n;i++)
    {
        cout<<i<<" "<<d[i]<<endl;
    }
    return 0;
}