ASCII Art Addition

An ASCII art is a 7×N matrix of characters, where each character is either a dot '.' or a lowercase letter 'x'. Each digit (0-9) and the plus sign '+' is represented as a 7×5 matrix as defined below:

• 0:

  xxxxx
  x...x
  x...x
  x...x
  x...x
  x...x
  xxxxx
      

• 1:

  ....x
  ....x
  ....x
  ....x
  ....x
  ....x
  ....x
      

• 2:

  xxxxx
  ....x
  ....x
  xxxxx
  x....
  x....
  xxxxx
      

• 3:

  xxxxx
  ....x
  ....x
  xxxxx
  ....x
  ....x
  xxxxx
      

• 4:

  x...x
  x...x
  x...x
  xxxxx
  ....x
  ....x
  ....x
      

• 5:

  xxxxx
  x....
  x....
  xxxxx
  ....x
  ....x
  xxxxx
      

• 6:

  xxxxx
  x....
  x....
  xxxxx
  x...x
  x...x
  xxxxx
      

• 7:

  xxxxx
  ....x
  ....x
  ....x
  ....x
  ....x
  ....x
      

• 8:

  xxxxx
  x...x
  x...x
  xxxxx
  x...x
  x...x
  xxxxx
      

• 9:

  xxxxx
  x...x
  x...x
  xxxxx
  ....x
  ....x
  xxxxx
      

• +:

  .....
  ..x..
  ..x..
  xxxxx
  ..x..
  ..x..
  .....
      

The ASCII art of an expression of the form \(a+b\) is obtained by converting each character (digits and the plus sign) to its corresponding 7×5 matrix and concatenating them with a single column of dots (i.e. a column with 7 dots) between consecutive matrices.

Your task is to read an ASCII art representing an expression \(a+b\), compute the sum \(a+b\), and output the result in the same ASCII art format.

All formulas use LaTeX format. For example, the addition is \(a+b\) and the result for an input representing \(1+2\) should be the ASCII art corresponding to \(3\).

inputFormat

The input consists of 7 lines. Each line is a string of characters (only '.' and 'x') representing a row of the ASCII art of the expression.

The total number of columns is \(6n-1\), where \(n\) is the number of 7×5 matrices (each corresponding to a digit or a plus sign) in the expression.

outputFormat

Output the ASCII art of the addition result. The result should be represented using the same 7×5 matrices for each digit as given above and concatenated with a single column of dots between matrices.

sample

....x.......xxxxx
....x..x.......x
....x..x.......x
....x.xxxxx.xxxxx
....x..x...x....x
....x..x...x....x
....x.......xxxxx

xxxxx
....x
....x
xxxxx
....x
....x
xxxxx