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:
mat = []
for _ in range(8):
    mat.append(list(input()))

mat90 = [[0 for i in range(8)] for j in range(8)]
print(90)
for i in range(8):
    for j in range(8):
        mat90[i][j] = mat[7-j][i]

for i in range(8):
    print(''.join(m for m in mat90[i]))

mat180 = [[0 for i in range(8)] for j in range(8)]
print(180)
for i in range(8):
    for j in range(8):
        mat180[i][j] = mat90[7-j][i]

for i in range(8):
    print(''.join(m for m in mat180[i]))

mat270 = [[0 for i in range(8)] for j in range(8)]
print(270)
for i in range(8):
    for j in range(8):
        mat270[i][j] = mat180[7-j][i]

for i in range(8):
    print(''.join(m for m in mat270[i]))