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>
using namespace std;

#define FOR(i,a,b) for(int i=(a);i<(b);i++)
#define REP(i,n) FOR(i,0,n)

typedef vector<string> vs;
typedef vector<vs> vvs;

vs rotate(vs str) {
	vs res(8);
	REP(i, 8) {
		res[i].resize(8);
		REP(j, 8) res[i][j] = str[7 - j][i];
	}
	return res;
}

int main() {
	vs str(8);
	REP(i, 8) cin >> str[i];
	
	vvs ans(4, vs(8));
	ans[0] = str;
	
	FOR(i, 1, 4) ans[i] = rotate(ans[i - 1]);
	
	FOR(i, 1, 4) {
		cout << i * 90 << endl;
		REP(j, 8) cout << ans[i][j] << endl;
	}
	return 0;
}