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 <algorithm>
#include <cstdio>
#define rep(i, n) for(int i = 0; i < (n); ++i)
using namespace std;

char M[8][8];

void printRotate(int n) {
  const static int s90n[4] = {0,1,0,-1};
  const static int c90n[4] = {1,0,-1,0};
  n = (4-n);
  rep(y, 8) {
    rep(x, 8) {
      int nx = x*c90n[n] - y*s90n[n];
      int ny = x*s90n[n] + y*c90n[n];
      if(n == 1 || n == 2) nx += 7;
      if(n == 2 || n == 3) ny += 7;
      cout << M[ny][nx];
    }
    cout << endl;
  }
}

void solve() {
  rep(i, 3) {
    cout << (i+1) * 90 << endl;
    printRotate(i+1);
  }
}

int main() {
  rep(i, 8) rep(j, 8) cin >> M[i][j];
  solve();
}