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 Draw(pattern, rowRange, colRange):
    s = ""

    for row in rowRange:
        for col in colRange:
            s += pattern[row][col]
        s += "\n"

    print(s, end="")


def Draw2(pattern, colRange, rowRange):
    s = ""

    for col in colRange:
        for row in rowRange:
            s += pattern[row][col]
        s += "\n"

    print(s, end="")


pattern = [input() for lp in range(8)]

print("90")
Draw2(pattern, range(0, 8), range(7, -1, -1))

print("180")
Draw(pattern, range(7, -1, -1), range(7, -1, -1))

print("270")
Draw2(pattern, range(7, -1, -1), range(0, 8))