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<set>
#include<algorithm>
using namespace std;

int main()
{
    int n, q, x, y;

    multiset<int> a;

    cin >> n;

    for( int i = 0; i < n; i++ )
    {
        cin >> q >> x;
        if( q == 0 )
        {
            a.insert(x);
            cout << a.size() << endl;
        }
        else if( q == 1 )
            cout << a.count(x) << endl;                                 //countという、指定された値の個数を返す関数もある。setは重複を許さないので0 or 1が返る。
        else if( q == 2 )
            a.erase(x);
        else
        {
            cin >> y;
            multiset<int>::iterator l = a.lower_bound(x), r = a.upper_bound(y);
            for(; l != r; l++ )
                cout << *l << endl;
        }
    }
    return 0;
}