Problem: For a set $S$ of integers, perform a sequence of the following operations. Note that multiple elements can have equivalent values in $S$.

* insert($x$): Insert $x$ to $S$ and report the number of elements in $S$ after the operation.
* find($x$): Report the number of $x$ in $S$.
* delete($x$): Delete all $x$ from $S$.
* dump($L$, $R$): Print elements $x$ in $S$ such that $L \leq x \leq R$.

Constraints

* $1 \leq q \leq 200,000$
* $0 \leq x \leq 1,000,000,000$
* The total number of elements printed by dump operations does not exceed $1,000,000$
* The sum of numbers printed by find operations does not exceed $2,000,000$

Input

The input is given in the following format.


$q$
$query_1$
$query_2$
:
$query_q$


Each query $query_i$ is given by


0 $x$


or


1 $x$


or


2 $x$


or


3 $L$ $R$


where the first digits 0, 1, 2 and 3 represent insert, find, delete and dump operations respectively.

Output

For each insert operation, print the number of elements in $S$.
For each find operation, print the number of specified elements in $S$.
For each dump operation, print the corresponding elements in ascending order. Print an element in a line.

Example

Input

10
0 1
0 1
0 2
0 3
2 2
1 1
1 2
1 3
0 4
3 1 4


Output

1
2
3
4
2
0
1
4
1
1
3
4

Solution (in CPP):

Solution:
#include <iostream>
#include <vector>
#include <algorithm>
#include <set>


int main()
{
    int q,ope;
    long long num,L,R;
    std::cin>>q;
    std::multiset<long long> S;
    
    for(int i = 0; i < q; i++)
    {
        std::cin>>ope;
        if(ope==1){std::cin>>num; std::cout<<S.count(num)<<std::endl;}
        else if(ope==0){std::cin>>num; S.insert(num); std::cout<<S.size()<<std::endl;}
        else if(ope==2){std::cin>>num; S.erase(num);}
        else{
            std::cin>>L>>R;
            auto a = S.lower_bound(L);
            auto b = S.upper_bound(R);
            for(auto it = a; it!=b; it++){std::cout<<*it<<std::endl;}
        }
    } 
    return 0;
}