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

S=[]

def insert(S,count,x):
    y=bisect.bisect(S,x)
    S.insert(y,x)
    count+=1
    print(count)
    return S,count

def find(S,x):
    y0=bisect.bisect_left(S,x)
    y1=bisect.bisect_right(S,x)
    return y0,y1

def erase(S,count,x):
    y0,y1=find(S,x)
    if y1-y0>0:
        del S[y0:y1]
        count-=y1-y0
    return S,count

def dump(S,L,R):
    s=bisect.bisect_left(S,L)
    e=bisect.bisect_right(S,R)
    if e-s>0:
        print('\n'.join(map(str,S[s:e])))

q=int(input())
count=0
for i in range(q):
    query=list(map(int,input().split()))
    
    if query[0]==0:
        S,count=insert(S,count,query[1])
    elif query[0]==1:
        y0,y1=find(S,query[1])
        print(y1-y0)
    elif query[0]==2:
        S,count=erase(S,count,query[1])
    else:
        dump(S,query[1],query[2])