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 PYTHON3):

Solution:
import bisect
import collections


def main6():
    values = collections.defaultdict(int)
    element_count = 0

    q = int(input())

    for _ in range(q):
        com, *para = map(int, input().split())

        if   com == 0:
            values[para[0]] += 1
            element_count += 1
            print(element_count)

        elif com == 1:
            print(values[para[0]])

        elif com == 2:
            element_count -= values[para[0]]
            values[para[0]] = 0

        elif com == 3:

            if para[0] == para[1]:
                for _ in range(values[para[0]]):
                    print(para[0])

            elif  abs(para[0] - para[1]) < 10:

                for i in range(para[0], para[1] + 1):
                    for _ in range(values[i]):
                        print(i)
            
            else:
                key_list = [k for k, v in values.items() if v != 0]
                key_list = sorted(key_list)

                lb = bisect.bisect_left(key_list, para[0])
                rb = bisect.bisect_right(key_list, para[1])

                for s in key_list[lb:rb] :
                    for _ in range(values[s]):
                        print(s)

main6()