Problem: For a dictionary $M$ that stores elements formed by a pair of a string key and an integer value, perform a sequence of the following operations. Note that multiple elements can have equivalent keys.

* insert($key$, $x$): Insert an element formed by a pair of $key$ and $x$ to $M$.
* get($key$): Print all values with the specified $key$.
* delete($key$): Delete all elements with the specified $key$.
* dump($L$, $R$): Print all elements formed by a pair of the key and the value such that the key is greater than or equal to $L$ and less than or equal to $R$ in lexicographic order.

Constraints

* $1 \leq q \leq 200,000$
* $1 \leq x \leq 1,000,000,000$
* $1 \leq $ length of $key$ $ \leq 20$
* $key$ consists of lower-case letters
* $L \leq R$ in lexicographic order
* The total number of elements printed by get operations does not exceed $500,000$
* The total number of elements printed by dump operations does not exceed $500,000$

Input

The input is given in the following format.


$q$
$query_1$
$query_2$
:
$query_q$


Each query $query_i$ is given by


0 $key$ $x$


or


1 $key$


or


2 $key$


or


3 $L$ $R$


where the first digits 0, 1, 2 and 3 represent insert, get, delete and dump operations.

Output

For each get operation, print the corresponding values in the order of insertions.
For each dump operation, print the corresponding elements formed by a pair of the key and the value. For the dump operation, print the elements in ascending order of the keys, in case of a tie, in the order of insertions.

Example

Input

10
0 blue 6
0 red 1
0 blue 4
0 white 5
1 red
1 blue
2 red
1 black
1 red
3 w z


Output

1
6
4
white 5

Solution (in PYTHON3):

Solution:
import bisect

keys=[]

q=int(input())
d={}

def find(x):
    index=bisect.bisect_left(keys,x)
    if index==len(keys):
        return -1
    if keys[index]==x:
        return index
    else:
        return -1


for _ in range(q):
    query=input().split(" ")
    if query[0]=="0":
        if find(query[1])!=-1:
            item=d[query[1]]
        else:
            bisect.insort_left(keys, query[1])
            item=[]
        item.append(query[2])
        d[query[1]]=item
    elif query[0]=="1":
        if find(query[1])!=-1:
            for item in d[query[1]]:
                print(item)
    elif query[0]=="2":
        while find(query[1])>=0:
            keys.pop(find(query[1]))
    else:
        L,R=query[1],query[2]
        indL=bisect.bisect_left(keys,L)
        indR=bisect.bisect_right(keys,R)
        for s in keys[indL:indR]:
            for item in d[s]:
                print(s,item)