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 <iostream>
#include <vector>
#include <queue>

#define INF 1000000000
using namespace std;

struct edge {
    int from;
    int to;
    int w;
};
struct node {
    node() : id {-1}, d {INF}, ns {} {};
    node(int i, vector<edge>& vec) : id {i}, d {INF}, ns {vec} {};
    int id;
    int d;
    vector<edge> ns;
};

vector<int> dijkstra(node* graph, int n, int st){
    auto ds = vector<int>(n, INF);
    auto comp = [](node* x, node* y){return x->d < y->d;};
    priority_queue<node*, vector<node*>, decltype(comp)> que(comp);
    node* start = &graph[st];
    start->d = 0;
    que.push(start);
    while(que.size()){
        node* n = que.top();
        que.pop();
        if(n->d < ds[n->id]){
            ds[n->id] = n->d;
            for(auto e : n->ns){
                node* next_n = &graph[e.to];
                next_n->d = min(next_n->d, n->d + e.w);
                que.push(next_n);
            }
        }
    }
    return ds;
}

int main(){
    cin.sync_with_stdio(false);
    cout.sync_with_stdio(false);
    int n;
    cin >> n;
    node graph[n];
    for(int i = 0; i < n; ++i){
        int id;
        int m;
        cin >> id >> m;
        auto vec = vector<edge>(m);
        int v, c;
        for(int j = 0; j < m; ++j){
            cin >> v >> c;
            vec[j] = edge {id, v, c};
        }
        graph[id] = node(id, vec);
    }
    auto ds = dijkstra(graph, n, 0);
    for(int i = 0; i < n; ++i){
        cout << i << ' ' << ds[i] << endl;
    }
}

C++: #include <iostream>

using namespace std;

#define INT_MIN     (-2147483647 - 1) /* minimum (signed) int value */
#define INT_MAX       2147483647    /* maximum (signed) int value */
static const int MAX = 100;
static const int WHITE = 0;
static const int GRAY = 1;
static const int BLACK = 2;

int n, m[MAX][MAX];

int prim()
{
	int color[MAX], p[MAX], d[MAX];
	int u, minv;

	for (int i = 0; i < n; ++i)
	{
		color[i] = WHITE;
		p[i] = -1;
		d[i] = INT_MAX;
	}

	d[0] = 0;

	while (1)
	{
		minv = INT_MAX;
		u = -1;
		for (int i = 0; i < n; ++i)
		{
			if (d[i] < minv && color[i] != BLACK)
			{
				u = i;
				minv = d[i];
			}
		}

		if (-1 == u)
			break;
		color[u] = BLACK;

		for (int i = 0; i < n; ++i)
		{
			if (m[u][i] < d[i] && color[i] != BLACK)
			{
				d[i] = m[u][i];
				p[i] = u;
				color[i] = GRAY;
			}
		}
	}

	int sum = 0;
	for (int i = 0; i < n; ++i)
	{
		if (p[i] != -1)
			sum += m[p[i]][i];
	}
	return sum;
}

void dijkstra()
{
	int minv;
	int d[MAX], color[MAX];

	for (int i = 0; i < n; ++i)
	{
		d[i] = INT_MAX;
		color[i] = WHITE;
	}

	d[0] = 0;
	color[0] = GRAY;

	while (1)
	{
		minv = INT_MAX;
		int u = -1;
		for (int i = 0; i < n; ++i)
		{
			if (d[i] < minv && color[i] != BLACK)
			{
				u = i;
				minv = d[i];
			}
		}

		if (-1 == u) break;
		color[u] = BLACK;

		for (int i = 0; i < n; ++i)
		{
			if (color[i] != BLACK && m[u][i] + d[u] < d[i])
			{
				d[i] = d[u] + m[u][i];
				color[i] = GRAY;
			}
		}
	}

	for (int i = 0; i < n; ++i)
		cout << i << " " << ((d[i] == INT_MAX) ? -1 : d[i]) << endl;
}

int main()
{
	cin >> n;
	for (int i = 0; i < n; ++i)
	{
		for (int j = 0; j < n; ++j)
		{
			m[i][j] = MAX;
		}
	}

	int k, c, u, v;
	for (int i = 0; i < n; ++i)
	{
		cin >> u >> k;
		for (int j = 0; j < k; ++j)
		{
			cin >> v >> c;
			m[u][v] = c;
		}
	}

	dijkstra();
	return 0;
}

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

int M[200][200];
string color[200];
int d[200];
int p[200];
int n;
const int INF = 1001001001;

void dijkstra(int s){
    rep(i, n){
        color[i] = "WHITE";
        d[i] = INF;
    }
    d[s] = 0;
    p[s] = -1;

    int u;
    while(true){
        int mincost = INF;
        for (int i = 0; i < n; i++){
            if(color[i] != "BLACK" && d[i] < mincost){
                mincost = d[i];
                u = i;
            }
        }
        if(mincost == INF){
            break;
        }
        color[u] = "BLACK";
        
        for (int v = 0; v < n; v++){
            if(color[v] != "BLACK" && M[u][v] != INF){
                if(d[u] + M[u][v] < d[v]){
                    d[v] = d[u] + M[u][v];
                    p[v] = u;
                    color[v] = "GRAY";
                }
            }
        }
    }
}

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

    return 0;
}