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 <cstdio>

using namespace std;

char pattern[8][8];

void rotate_270() {
    printf("270\n");
    for (int i = 7; i >= 0; i--) {
        for (int j = 0; j < 8; j++) {
            putchar(pattern[j][i]);
        }
        putchar('\n');
    }
}

void rotate_180() {
    printf("180\n");
    for (int i = 7; i >= 0; i--) {
        for (int j = 7; j >= 0; j--) {
            putchar(pattern[i][j]);
        }
        putchar('\n');
    }
}

void rotate_90() {
    printf("90\n");
    for (int i = 0; i < 8; i++) {
        for (int j = 7; j >= 0; j--) {
            putchar(pattern[j][i]);
        }
        putchar('\n');
    }
}

int main() {
    for (int i = 0; i < 8; i++) {
        for (int j = 0; j < 8; j++) {
            pattern[i][j] = getchar();
        }
        getchar();
    }
//    for (int i = 0; i < 8; i++) {
//        for (int j = 0; j < 8; j++) {
//            cout << pattern[i][j];
//        }
//        cout << endl;
//    }
    rotate_90();
    rotate_180();
    rotate_270();
    return 0;
}