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>
#define rep(i, n) for (int i = 0; i < (n); ++i)
#define repr(i, n) for (int i = (n); i >= 0; --i)
#define FOR(i, m, n) for (int i = (m); i < (n); ++i)
#define FORR(i, m, n) for (int i = (m); i >= (n); --i)
using namespace std;
typedef long long ll;
const ll mod = 1000000007;
const ll mod2 = 998244353;
const int INF = 1000000005;
const int MAX = 105;

class edge {
  public:
  int t, c;

  edge(int t = -1, int c = INF): t(t), c(c) {}

  bool operator < (const edge &e) const {
    return c > e.c;
  }
};

vector<edge> to[MAX];
bool seen[MAX];
int d[MAX], n;

void dijkstra(int u) {
  d[u] = 0;
  while (1) {
    seen[u] = true;
    for (edge e: to[u]) {
      if (seen[e.t]) continue;
      d[e.t] = min(d[e.t], d[u] + e.c);
    }

    int mind = INF;
    rep(i, n) {
      if (seen[i]) continue;
      if (d[i] < mind) {
        u = i;
        mind = d[i];
      }
    }

    if (mind == INF) break;
  }
}

int main() {
  cin >> n;
  int u, k;
  edge e;
  rep(i, n) {
    cin >> u >> k;
    rep(j, k) {
      cin >> e.t >> e.c;
      to[u].push_back(e);
    }
  }

  rep(i, n) {
    seen[i] = false;
    d[i] = INF;
  }

  dijkstra(0);

  rep(i, n) cout << i << " " << d[i] << endl;
  
  return 0;
}

C++: #include <iostream>
#include <cstdio>
using namespace std;
int a[100][100], n;
int d[200];
void duyet(int u)
{
    for(int v=0; v<n; v++)
    {
        if(a[u][v]>0 && d[v]>(d[u]+a[u][v]))
        {
            d[v]=d[u]+a[u][v];
            duyet(v);
        }
    }
}
int main()
{
    long long int s,t,u;
    cin>>n;
    for(int i=0; i<n; i++)
    {
        cin>>s>>t;
        for(int j=1; j<=t; j++)
        {
            cin>>s>>u; a[i][s]=u;
        }
        d[i]=1e6;
    }
    d[0]=0;
    duyet(0);
    for(int i=0; i<n; i++)
    {
        cout<<i<<" "<<d[i]<<endl;
    }
    return 0;
}

C++: #include<iostream>
#include<vector>
#include<queue>
#include<climits>
using namespace std;

struct Edge{ int to,cost; };

typedef pair<int,int> P;
typedef vector<Edge> Edges;
typedef vector<Edges> Graph;

void dijkstra(Graph &G,vector<int> &d,int n,int s){
	priority_queue< P, vector<P>, greater<P> > que;
	fill(d.begin(),d.end(),INT_MAX);
	d[s]=0;
	que.push(P(0,s));
	
	while(!que.empty()){
		P p=que.top();
		que.pop();
		
		int a=p.second;
		if (d[a]<p.first){
			continue;
		}
		for (int i=0;i<G[a].size();i++){
			Edge e = G[a][i];
			if (d[e.to]>d[a]+e.cost){
				d[e.to]=d[a]+e.cost;
				P p2=P(d[e.to],e.to);
				que.push(p2);
			}
		}
	}
}

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

C++: #include<iostream>
int main(){
  int u,k,C,V,A[1000][1000],D[1000][1000],n;
  std::cin >> n;
  for(int i=0;i<n;i++)for(int j=0;j<n;j++)D[i][j] = 200001;
  for(int i=0;i<n;i++){ 
    std::cin >> u >> k;
    for(int j=0;j<k;j++){
      std::cin >> V >> C;
      D[u][V] = C;
    } 
  }
  for(int i=0;i<n;i++)D[i][i] = 0;
  for(int k=0;k<n;k++)for(int i=0;i<n;i++)for(int j=0;j<n;j++)D[i][j]= std::min(D[i][j],D[i][k] + D[k][j]);
  for(int i=0;i<n;i++)std::cout << i << " " << D[0][i] << std::endl;
  return 0;
}

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


#define MAX 100


using namespace std;


int main()
{
    int n;
    vector< vector<int> > adj(MAX, vector<int>(MAX, -1));
    cin >> n;
    for (int i = 0; i < n; i++) {
        int id, k;
        cin >> id >> k;
        for (int j = 0; j < k; j++) {
            int v, c;
            cin >> v >> c;
            adj[id][v] = c;
        }
    }

    vector<int> min_costs(MAX, INT_MAX);
    vector<bool> in_tree(MAX, false);
    vector<int> parent(MAX, false);

    min_costs[0] = 0;
    for (int tc = 0; tc < n; tc++) {
        int min_cost = INT_MAX;
        int closest_v = -1;
        for (int i = 0; i < n; i++) {
            if (min_cost > min_costs[i] && !in_tree[i]) {
                min_cost = min_costs[i];
                closest_v = i;
            }
        }

        in_tree[closest_v] = true;

        for (int i = 0; i < n; i++) {
            if (adj[closest_v][i] < 0)
                continue;

            int w = min_cost + adj[closest_v][i];
            if (!in_tree[i] && min_costs[i] > w) {
                min_costs[i] = w;
                parent[i] = min_cost;
            }
        }
    }

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

    return 0;
}