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 "bits/stdc++.h"
#include<unordered_map>
#include<unordered_set>
#pragma warning(disable:4996)
using namespace std;
using ld = long double;
const ld eps = 1e-9;

vector<string>a(vector<string>b) {
	vector<string>ans(8, string(8, 'a'));
	for (int i = 0; i < 8; ++i) {
		for (int j = 0; j < 8; ++j) {
			ans[7 - j][i] = b[i][j];
		}
	}
	return ans;
}

int main() {
	vector<string>sts(8);
	for (int i = 0; i < 8; ++i) {
		cin >> sts[i];
	}
	for (int i = 0; i < 3; ++i) {
		cout << 90+90 * i << endl;
		sts = a(a(a(sts)));
		for (int j = 0; j < 8; ++j) {
			cout << sts[j] << endl;
		}
	}
	return 0;
}