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 <bits/stdc++.h>

using namespace std;

int main()
{
  int N;
  cin >> N;
  multiset<int> Set;

  for(int i = 0; i < N; ++i)
  {
    int Command; cin >> Command;

    if(Command == 0)
    {
      int Val; cin >> Val;
      Set.insert(Val);
      cout << Set.size() << endl;
    }
    else if(Command == 1)
    {
      int Val; cin >> Val;
      int Count = Set.count(Val);
      cout << Count << endl;

    }
    else if(Command == 2)
    {
      int Val; cin >> Val;
      auto ite = Set.equal_range(Val);
      Set.erase(ite.first, ite.second);
    }
    else 
    {
      int LB, UB; cin >> LB >> UB;

      auto ite = Set.lower_bound(LB);
      auto last = Set.upper_bound(UB);

      while(ite != last)
      {
	cout << *ite << endl;
        ++ite;
      }


    }

  }

  return 0;
}