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 C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Collections;
using System.Collections.Specialized;
using System.Linq;
using System.Text;
using System.IO;
static class Program{
	const int mod=(int)1e9+7;
	static void Main(){
		Sc sc=new Sc();
		int n=sc.I,m=0;
		int[][] a=new int[n][];
		int[] h=new int[n];
		StringBuilder sb=new StringBuilder();
		for(int i = 0;i<n;i++) {
			a[i]=sc.Ia;
			if(a[i][0]==1){m++;}
		}
		int[][] z=new int[m][];
		for(int i=0,j=0;i<n;i++) {
			if(a[i][0]==1){z[j]=new int[]{a[i][1],i};j++;}
		}
		Array.Sort(z,(u,v)=>u[0]-v[0]);
		for(int i=0;i<m;i++){h[z[i][1]]=i+1;}
		Bit bit=new Bit(m+1);
		Bit bit2=new Bit(m+1);
		int[] b=new int[m+1];
		long p=0;
		for(int i=0,j=0;i<n;i++) {
			if(a[i][0]==1){
				p+=a[i][2];
				b[h[i]]=a[i][1];
				bit.Ud(h[i],(long)1e9+a[i][1]);
				bit2.Ud(h[i],1);
				j++;
			}
			else{
				int lb=-1,ub=m,mid=0;
				while(ub-lb>1){
					mid=(ub+lb)/2;
					if(bit2.Get(mid)>=((j+1)>>1)){ub=mid;}
					else{lb=mid;}
				}
				sb.Append(b[ub]+" "+(Math.Abs((1e9+b[ub])*(j-(j>>1)-1)-bit.Get(ub-1))+Math.Abs((1e9+b[ub])*(j>>1)-(bit.Get(m)-bit.Get(ub)))+p)+"\n");
			}
		}
		Console.Write(sb);
	}
}
public class Bit{
	private int n;
	private long[] bit;
	public Bit(int n){
		this.n=n;
		bit=new long[n+1];
	}
	public void Ud(int a,long p){while(a<=n){bit[a]+=p;a+=a&-a;}}
	public long Get(int n){
		long a=0;
		while(n>0){a+=bit[n];n-=n&-n;}
		return a;
	}
	public long Get2(int m,int n){
		long a=0,b=0;
		while(n>m){a+=bit[n];n-=n&-n;}
		if(n==m){return a;}
		while(n!=m){b+=bit[m];m-=m&-m;}
		return a-b;
	}
	public void Clear(){bit=new long[n+1];}
}

public class Sc{
	private string[] a;
	private int n=-1,m=0;
	public int I{get{if(n==-1||n==a.Length-1){n=-1;a=Console.ReadLine().Split();}n++;return int.Parse(a[n]);}}
	public long L{get{if(n==-1||n==a.Length-1){n=-1;a=Console.ReadLine().Split();}n++;return long.Parse(a[n]);}}
	public double D{get{if(n==-1||n==a.Length-1){n=-1;a=Console.ReadLine().Split();}n++;return double.Parse(a[n]);}}
	public string S{get{if(n==-1||n==a.Length-1){n=-1;a=Console.ReadLine().Split();}n++;return a[n];}}
	public string Sz{get{return Console.ReadLine();}}
	public int[] Ia{get{if(n!=-1&&n!=a.Length-1){m=n;n=-1;return Array.ConvertAll(a.Skip(m+1).ToArray(),int.Parse);}return Array.ConvertAll(Console.ReadLine().Split(),int.Parse);}}
	public int[] Ia2(int b){return Array.ConvertAll((((b&1)!=0?"0 ":"")+Console.ReadLine()+((b&2)!=0?" 0":"")).Split(),int.Parse);}
	public long[] La{get{return Array.ConvertAll(Console.ReadLine().Split(),long.Parse);}}
	public long[] La2{get{return Array.ConvertAll(("0 "+Console.ReadLine()+" 0").Split(),long.Parse);}}
	public double[] Da{get{return Array.ConvertAll(Console.ReadLine().Split(),double.Parse);}}
	public string[] Sa{get{return Console.ReadLine().Split();}}
	public string[] Sa2{get{return ("# "+Console.ReadLine()).Split();}}
}