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;

#define reps(i, n, m) for (int i = (int) (n); i < (int) (m); i++)
#define rep(i, n) reps(i, 0, (n))
#define all(v) (v).begin(), (v).end()

int main() {
    int q; cin >> q;
    multiset<int> s;
    while (q--) {
        int a, x; cin >> a >> x;
        if (a == 0) {
            s.insert(x); cout << s.size() << endl;
            
        } else if (a == 1) {
            cout << s.count(x) << endl;
        } else if (a == 2) {
            s.erase(x);
        } else {
            int y; cin >> y;
            auto b = s.lower_bound(x);
            auto e = s.upper_bound(y);
            for (auto i = b; i != e; i++) {
                cout << *i << endl;
            }
        }
    }
}