Problem: Create a program that rotates the pattern of 8 characters x 8 lines clockwise by 90 degrees, 180 degrees, and 270 degrees and outputs it.



Input

A pattern consisting of 8 characters x 8 lines is given. Characters consist of alphanumeric characters, half-width pound'#', and asterisk'*'.

Output

Output the rotated pattern in the following format.


90 (fixed half-width numbers)
Pattern rotated 90 degrees
180 (fixed half-width numbers)
180 degree rotated pattern
270 (fixed half-width numbers)
Pattern rotated 270 degrees


Examples

Input

#*******
#*******
#*******
#*******
#*******
#*******
#*******
########


Output

90
########
#*******
#*******
#*******
#*******
#*******
#*******
#*******
180
########
*******#
*******#
*******#
*******#
*******#
*******#
*******#
270
*******#
*******#
*******#
*******#
*******#
*******#
*******#
########


Input

*******
*******
*******
*******
*******
*******
*******


Output

90

*******
*******
*******
*******
*******
*******
*******
180

*******#
*******#
*******#
*******#
*******#
*******#
*******#
270
*******#
*******#
*******#
*******#
*******#
*******#
*******#

Solution (in PYTHON3):

Solution:
def spin(pazzule):
    pzl = [["" for i in range(8)] for j in range(8)]
    for i in range(8):
        for j in range(8):
            pzl[i][j] = pazzule[7-j][i]
    return pzl
    
pazzule = [list(input()) for i in range(8)]
pazzule = spin(pazzule)
print("90")
for i in range(8):
    print("".join(pazzule[i]))
print("180")
pazzule = spin(pazzule)
for i in range(8):
    print("".join(pazzule[i]))
print("270")
pazzule = spin(pazzule)
for i in range(8):
    print("".join(pazzule[i]))