You all know about famous secret service agent Masud Rana. Masud Rana is a fictional character created in 1966 by writer Qazi Anwar Hussain. Today he is going to send a message to his colleague Shohana Chowdhury in encrypted format.

He likes letter R very much, so he encrypt a massage s in following pattern with height h (always odd).

If his massage is s = “ABCDEFGHIJKLMNOPQRSTUVWXYZ” and h = 5

Then his message will be like this:

EFG#RST

D#H#Q#U

CJI#PWV

BK##OX

A#LMN#YZ

That’s mean result format have height h=5, and all letter will be in sequentially make big R. All other space will be fill up with #. Please see the following figure for better understanding.

(Line has drawn for explanatory purpose )

Input

In first there is two integer n (1 <= n <= 1000) and h (1 <= h <=n, h is odd), length of the message and height of output. In next line there is a message s, message is a non-empty string consist with only capital letter.

Output

Print h line with corresponding answer with describe format.

Note that, there should not have any extra # after last letter of each line.

Example 1

Input:
13 3
PHQGHUMEAYLNA

Output:
QG#YL
HH#AN
PUMEA

Example 2

Input:
22 5
MXWTPTTTYKDUYVXJBZHQUP

Output:
PTT#ZHQ
T#T#B#U
WKY#J#P
XD##X
M#UYV

Example 3

Input:
22 7
MXWTPTTTYKDUYVXJBZHQUP

Output:
TTYK
T##D
P##U
TXVY
WJ###P
X#B##U
M##ZHQ

[ This problem originally contributed by Reajul Haque Reayz, CSE, CoU ]