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"bits/stdc++.h"
using namespace std;

#define NIL -1
#define MAX (1 << 24)

struct Node {
	int dis = MAX;
	bool flag = false;
	vector<int> d;
	vector<int> id;
};

void dijkstra(vector<Node>& u)
{
	u[0].dis = 0;

	while (1)
	{
		int mini = MAX;
		int n;
		for (int i = 0; i < u.size(); i++)
		{
			if (!u[i].flag && u[i].dis < mini) {
				mini = u[i].dis;
				n = i;
			}
		}

		if (mini == MAX) return;
		u[n].flag = true;

		for (int i = 0; i < u[n].id.size(); i++)
		{
			if (u[u[n].id[i]].flag) continue;
			if ((u[n].dis + u[n].d[i]) < u[u[n].id[i]].dis) {
				u[u[n].id[i]].dis = u[n].dis + u[n].d[i];
			}
		}
	}
}

int main(void)
{
	int i, N, v, k, c, x;
	cin >> N;
	vector<Node> u(N);
	for (i = 0; i < N; i++)
	{
		cin >> v >> k;
		for (int j = 0; j < k; j++)
		{
			cin >> x >> c;
			u[v].id.push_back(x);
			u[v].d.push_back(c);
		}
	}

	
	dijkstra(u);

	for (i = 0; i < N; i++) cout << i << " " << u[i].dis << endl;

	return 0;
}

C++: #include <cstdio>
#include <iostream>
#include <queue>
#include <utility>
#include <vector>

using namespace std;

int main() {

	int INF = 100001;

	int n;
	scanf("%d", &n);

	vector<pair<int, int>> G[n];
	for (int i = 0; i < n; ++i) {
		int from;
		scanf("%d", &from);

		int v;
		scanf("%d", &v);

		for (int j = 0; j < v; ++j) {
			int to;
			int w;
			scanf("%d %d", &to, &w);
			G[from].push_back(make_pair(to, w));
		}
	}

	int C[n];
	for (int i = 0; i < n; ++i)
		C[i] = INF;

	int color[n];
	int WHITE = 0;
	int BLACK = 1;
	for (int i = 0; i < n; ++i)
		color[i] = WHITE;

	priority_queue<pair<int, int>> PQ;
	PQ.push(make_pair(0, 0));
	C[0] = 0;
	while (!PQ.empty()) {
		int u = PQ.top().second;
		PQ.pop();
		color[u] = BLACK;
		for (int i = 0; i < (int) G[u].size(); ++i) {
			auto c = G[u][i];
			if (color[c.first] != BLACK && c.second + C[u] < C[c.first]) {
				C[c.first] = c.second + C[u];
				PQ.push(make_pair(C[c.first] * -1, c.first));
			}
		}
	}

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

	return 0;
}

C++: #include <iostream>
#include <cstdio>
#include <vector>
#include <algorithm>
#include <map>
#include <numeric>
#include <string>
#include <cmath>
#include <iomanip>
#include <queue>
#include <list>
#include <stack>
#include <cctype>
#include <cmath>

using namespace std;

/* typedef */

typedef long long ll;

/* constant */

const int INF = 1 << 30;
const int MAX = 100;
const int mod = 1000000007;
const double pi = 3.141592653589;

const int WHITE = 0;
const int GRAY = 1;
const int BLACK = 2;

/* global variables */
vector< vector<pair<int, int> > > Adj(MAX, vector<pair<int, int> >());
vector<int> color(MAX, WHITE);
vector<int> d(MAX, INF);
vector<int> p(MAX, -1);
int n;

/* function */
void dijkstra();

/* main */
int main() {
    
    cin >> 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;
            Adj[u].push_back(make_pair(v, c));
        }
    }

    dijkstra();

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

}

void dijkstra() {

    pair<int, int> p1;
    d[0] = 0;
    p[0] = -1;

    priority_queue<pair<int, int> > PQ;
    PQ.push(make_pair(0, 0));

    while (!PQ.empty()) {

        p1 = PQ.top(); PQ.pop();
        int u = p1.second;
        color[u] = BLACK;

        if ( d[u] < p1.first * (-1) ) continue;

        for (auto p2 : Adj[u]) {

            int v = p2.first;
            int cost = p2.second;

            if (color[v] != BLACK) {
                if (d[u] + cost < d[v]) {
                    p[v] = u;
                    d[v] = d[u] + cost;
                    color[v] = GRAY;
                    PQ.push(make_pair(-d[v], v));
                }
            }
        }
    }

}

C++: #include<bits/stdc++.h>

using namespace std;
int d[10002];
struct Edge{
    int from,to,w;
};
const int inf=1<<30;
vector<Edge> E;
vector<int> G[10002];
struct node{
    int to,w;
    friend bool operator < (const node& a, const node& b){
        return a.w>b.w;
    }
};
bool vis[10002];
int V;
void dijkstar(int start=0){
    priority_queue<node> que;
    que.push(node {start,0});
    d[start]=0;
    while(!que.empty()){
        node s=que.top();
        que.pop();
        int nowV=s.to,w=s.w;
        if(vis[nowV]) continue;
        vis[nowV]=true;
        for(int i=0;i<G[nowV].size();i++){
            Edge ee=E[G[nowV][i]];
            if(d[ee.to]>d[nowV]+ee.w){
                d[ee.to]=d[nowV]+ee.w;
                que.push(node {ee.to,d[ee.to]});
            }
        }
    }
}

int main(){
    cin>>V;
    for(int i=0;i<V;i++){
        int id,k;
        cin>>id>>k;
        vis[i]=false;
        d[i]=inf;
        while(k--){
            int out,val;
            cin>>out>>val;
            E.push_back(Edge{id,out,val});
            G[id].push_back(E.size()-1);
        }
    }
    dijkstar();
    for(int i=0;i<V;i++){
        cout<<i<<" "<<d[i]<<endl;
    }
}