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>
#include<cstring>
using namespace std;

char map[8][9];

void rotate(){
	char bM[8][9];
	memcpy(bM,map,72);
	for(int i=0;i<8;i++){
		for(int j=0;j<8;j++){
			map[i][j]=bM[7-j][i];
		}
	}
}

void showmap(){
	for(int i=0;i<8;i++){
		printf("%s\n",map[i]);
	}
}
int main(void){
	for(int j=0;j<=7;j++){
		cin >> map[j];
	}
	printf("90\n");
	rotate();
	showmap();
	printf("180\n");
	rotate();
	showmap();
	printf("270\n");
	rotate();
	showmap();
    return 0;
}