Problem:
Score : 600 points

Problem Statement

There is a function f(x), which is initially a constant function f(x) = 0.

We will ask you to process Q queries in order. There are two kinds of queries, update queries and evaluation queries, as follows:

An update query 1 a b: Given two integers a and b, let g(x) = f(x) + |x - a| + b and replace f(x) with g(x).

An evaluation query 2: Print x that minimizes f(x), and the minimum value of f(x). If there are multiple such values of x, choose the minimum such value.

We can show that the values to be output in an evaluation query are always integers, so we ask you to print those values as integers without decimal points.

Constraints

All values in input are integers.

1 \leq Q \leq 2 \times 10^5

-10^9 \leq a, b \leq 10^9

The first query is an update query.

Input

Input is given from Standard Input in the following format:

Q
Query_1
:
Query_Q

See Sample Input 1 for an example.

Output

For each evaluation query, print a line containing the response, in the order in which the queries are given.

The response to each evaluation query should be the minimum value of x that minimizes f(x), and the minimum value of f(x), in this order, with space in between.

Sample Input 1

4
1 4 2
2
1 1 -8
2

Sample Output 1

4 2
1 -3

In the first evaluation query, f(x) = |x - 4| + 2, which attains the minimum value of 2 at x = 4.

In the second evaluation query, f(x) = |x - 1| + |x - 4| - 6, which attains the minimum value of -3 when 1 \leq x \leq 4. Among the multiple values of x that minimize f(x), we ask you to print the minimum, that is, 1.

Sample Input 2

4
1 -1000000000 1000000000
1 -1000000000 1000000000
1 -1000000000 1000000000
2

Sample Output 2

-1000000000 3000000000

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.Closeable;
import java.io.FileInputStream;
import java.io.FileWriter;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.List;

public class Main {
    static ContestScanner in;static Writer out;static StringBuilder sb=new StringBuilder();
    public static void main(String[] args)
    {try{in=new ContestScanner();out=new Writer();Main solve=new Main();solve.solve();
        in.close();out.flush();out.close();}catch(IOException e){e.printStackTrace();}}
    void solve() throws NumberFormatException, IOException{
        int q = in.nextInt();
        Query[] query = new Query[q];
        List<Query> updates = new ArrayList<>();
        for (int i = 0; i < q; i++) {
            int type = in.nextInt();
            if (type == 1) {
                query[i] = new Query(type, in.nextInt(), in.nextInt());
                updates.add(query[i]);
            } else {
                query[i] = new Query(type, 0, 0);
            }
        }
        Collections.sort(updates);
        int updateN = updates.size();
        BIT bit = new BIT(updateN);
        BIT bitNum = new BIT(updateN);
        for (int i = 0; i < updateN; i++) {
            updates.get(i).p = i;
        }
        long min = Integer.MAX_VALUE;
        long minA = 0;
        long bSum = 0;
        StringBuilder sb = new StringBuilder();
        for (int i = 0; i < q; i++) {
            Query qr = query[i];
            if (qr.type == 1) {
                bSum += qr.b;
                bit.add(qr.p, qr.a);
                bitNum.add(qr.p, 1);
                long t = - bit.sum(qr.p - 1) + qr.a * bitNum.sum(qr.p - 1)
                         + bit.sum(qr.p + 1, updateN) - qr.a * bitNum.sum(qr.p + 1, updateN);
                min += Math.abs(minA - qr.a);
                if (t < min || t == min && qr.a < minA) {
                    min = t;
                    minA = qr.a;
                }
            } else {
                sb.append(minA).append(' ').append(min + bSum).append('\n');
            }
        }
        out.print(sb.toString());
    }
}

class Query implements Comparable<Query> {
    int type, p;
    long a, b;
    Query(int type, int a, int b) {
        this.type = type;
        this.a = a;
        this.b = b;
    }

    @Override
    public int compareTo(Query query) {
        return Long.compare(a, query.a);
    }
}

class BIT{
    int n;
    long[] bit;
    public BIT(int n){
        this.n = n;
        bit = new long[n+1];
    }

    void add(int idx, long val){
        for(int i=idx+1; i<=n; i+=i&(-i)) bit[i-1] += val;
    }

    long sum(int idx){
        long res = 0;
        for(int i=idx+1; i>0; i-=i&(-i)) res += bit[i-1];
        return res;
    }

    long sum(int begin, int end){
        if (begin > end) return 0;
        if(begin == 0) return sum(end);
        return sum(end)-sum(begin-1);
    }
}

class Writer extends PrintWriter{
    public Writer(String filename)throws IOException
    {super(new BufferedWriter(new FileWriter(filename)));}
    public Writer()throws IOException{super(System.out);}
}
class ContestScanner implements Closeable{
    private BufferedReader in;private int c=-2;
    public ContestScanner()throws IOException
    {in=new BufferedReader(new InputStreamReader(System.in));}
    public ContestScanner(String filename)throws IOException
    {in=new BufferedReader(new InputStreamReader(new FileInputStream(filename)));}
    public String nextToken()throws IOException {
        StringBuilder sb=new StringBuilder();
        while((c=in.read())!=-1&&Character.isWhitespace(c));
        while(c!=-1&&!Character.isWhitespace(c)){sb.append((char)c);c=in.read();}
        return sb.toString();
    }
    public String readLine()throws IOException{
        StringBuilder sb=new StringBuilder();if(c==-2)c=in.read();
        while(c!=-1&&c!='\n'&&c!='\r'){sb.append((char)c);c=in.read();}
        return sb.toString();
    }
    public long nextLong()throws IOException,NumberFormatException
    {return Long.parseLong(nextToken());}
    public int nextInt()throws NumberFormatException,IOException
    {return(int)nextLong();}
    public double nextDouble()throws NumberFormatException,IOException
    {return Double.parseDouble(nextToken());}
    public void close() throws IOException {in.close();}
}