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<string>
#define N 8
using namespace std;

void rot90(char from[N][N], char to[N][N]){
	for(int i=0;i<N;++i)for(int j=0;j<N;++j)
		to[j][N-i-1]=from[i][j];
}
int main()
{
	char pat[4][N][N];
	for(int i=0;i<N;++i){
		string s;
		cin >> s;
		for(int j = 0; j < N; ++j){
			pat[0][i][j] = s[j];
		}
	}
	rot90(pat[0],pat[1]);
	rot90(pat[1],pat[2]);
	rot90(pat[2],pat[3]);

	for(int k=1;k<=3;++k){
		cout << k*90 << '\n';
		for(int i=0;i<N;++i){
			for(int j=0;j<N;++j){
				cout << pat[k][i][j];
			}
			cout << '\n';
		}
	}
	return 0;
}