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>
#include <algorithm>
#include <vector>

#define rep(i,n) for(int i=0;i<n;i++)

using namespace std;

int main()
{
	string s[8];
	vector<string> temp,temp2;
	rep(i,8)
	{
		cin >> s[i];
	}
	cout << 90 << endl;
	rep(i,8)
	{
		string t = "";
		for(int j=7;j>=0;j--)
		{
			t += s[j][i];
			cout << s[j][i];
		}
		temp.push_back(t);
		cout << endl;
	}

	cout << 180 << endl;
	rep(i,8)
	{
		string t = "";
		for(int j=7;j>=0;j--)
		{
			t += temp[j][i];
			cout << temp[j][i];
		}
		temp2.push_back(t);
		cout << endl;
	}

	cout << 270 << endl;
	rep(i,8)
	{
		for(int j=7;j>=0;j--)
		{
			cout << temp2[j][i];
		}
		cout << endl;
	}
	return 0;
}