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<iostream>

void rotate(char ptn[8][8]);

int main()
{
	char pattern[8][8];
	char buf[10];
	for(int i=0;i<8;i++)
	{
		std::cin.getline(buf,10);
		for(int j=0;j<8;j++)
		{
			pattern[i][j]=buf[j];
		}
	}
	for(int i=1;i<=3;i++)
	{
		std::cout<<90*i<<std::endl;
		rotate(pattern);
		for(int j=0;j<8;j++)
		{
			for(int k=0;k<8;k++)
			{
				std::cout<<pattern[j][k];
			}
			std::cout<<std::endl;
		}
	}
	return 0;
}

void rotate(char ptn[8][8])
{
	char temp[8][8];
	for(int i=0;i<8;i++)
	{
		for(int j=0;j<8;j++)
		{
			temp[i][j]=ptn[7-j][i];
		}
	}
	for(int i=0;i<8;i++)
	{
		for(int j=0;j<8;j++)
		{
			ptn[i][j]=temp[i][j];
		}
	}
}