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 rep(i,a) for(int i = 0; i < (a); i++)
#define reps(i, a, b) for(int i = (a); i < (b); i++)
#define INF 1e9
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int, int> pii;
vector<string> rotate(vector<string> s) {
	vector<string> ret = vector<string>(8, "");
	rep(i, 8) rep(j, 8) ret[i] += s[7-j][i];
	return ret;
}
int main() {
	vector<string> s = vector<string>(8, "");
	rep(i, 8) cin >> s[i];
	vi v = {90, 180, 270};
	rep(k, v.size()) {
		cout << v[k] << endl;
		s = rotate(s);
		for(auto it : s) cout << it << endl;
	}
	return 0;
}