ASCII Addition
Nowadays, there are smartphone applications that instantly translate text and even solve math problems if you just point your phone's camera at them. Your job is to implement a much simpler functionality reminiscent of the past – add two integers written down as ASCII art.
An ASCII art is a matrix of characters, exactly 7 rows high, with each individual character either a dot or the lowercase letter x.
An expression of the form a + b is given, where both a and b are positive integers. The expression is converted into ASCII art by writing all the expression characters (the digits of a and b as well as the + sign) as 7 * 5 matrices, and concatenating the matrices together with a single column of dot characters between consecutive individual matrices. The exact matrices corresponding to the digits and the + sign are as follows:
Given an ASCII art for an expression of the form a + b, find the result of the addition and write it out in the ASCII art form.
Input
Consists of exactly 7 lines and contains the ASCII art for an expression of the form a + b, where both a and b are positive integers consisting of at most 9 decimal digits and written without leading zeros.
Output
Output 7 lines containing ASCII art corresponding to the result of the addition, without leading zeros.
