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 <vector>

std::vector<std::vector<char>> turn_right(const std::vector<std::vector<char>> &vector) {
	std::vector<std::vector<char>> res(8, std::vector<char>(8));
	for (auto x = 0; x < 8; ++x) {
		for (auto y = 0; y < 8; ++y) {
			res.at(y).at(x) = vector.at(7 - x).at(y);
		}
	}
	return res;
}
int main() {
	std::vector<std::vector<char>> vector(8, std::vector<char>(8));
	for (auto i = 0; i < 8; ++i) {
		char arg[10];
		std::cin >> arg;
		for (auto j = 0; j < 8; ++j) {
			vector.at(i).at(j) = arg[j];
		}
	}
	for (auto i = 90; i <= 270; i += 90) {
		std::cout << i << '\n';
		vector = turn_right(vector);
		for (const auto &line : vector) {
			for (const auto &c : line) {
				std::cout << c;
			}
			std::cout << '\n';
		}
	}
}