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>
#define lli long long int
#define FILE_IN freopen("input.txt", "r", stdin);
#define FILE_OUT freopen("output.txt", "w", stdout);
#define PI acos(-1)
using namespace std;
void fastio()
{
 ios_base::sync_with_stdio(false);
  cin. tie(0);
  cout. tie(0);

}
int main() {
 fastio();
  int f,t,x,y;
    multiset<int>s;
 multiset<int>::iterator it1,it2;
    cin>>t;
    while(t--) {
        cin>>f>>x;
        if(f==0) {
            s.insert(x);
            cout<<s.size()<<endl;
        }
        else if(f==1)
            cout<<s.count(x)<<endl;

       else if(f==2)
          s.erase(x);

       else{
          cin>>y;

         it1=s.lower_bound(x);
         it2=s.upper_bound(y);
         for(;it1 != it2;it1++)
          cout<<*it1<<endl;
       }

}
    return 0;
}