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 CPP):

Solution:
#include<stdio.h>
int main()
{
	const int N = 8;
	char a[N][N+1];
	int i,j;
	for(;;)
	{
		for(i = 0; i < N; ++i)
			if( scanf("%s",a[i]) != 1) return 0;
		puts("90");
		for(j=0;j<N;++j)
		{
			for(i = N-1;i>=0;--i)
				putchar(a[i][j]);
			putchar('\n');
		}
		puts("180");
		for(i=N-1;i>=0;--i)
		{
			for(j=N-1;j>=0;--j)
				putchar(a[i][j]);
			putchar('\n');
		}
		puts("270");
		for(j=N-1;j>=0;--j)
		{
			for(i=0;i<N;++i)
				putchar(a[i][j]);
			putchar('\n');
		}
	}
	return 0;
}