In this problem you will write a simple code generator for a 2D programming language derived from Brainfuck.

The code in this language is a rectangular grid of characters '.' and 'X'. The code is converted to a Brainfuck program as follows: the characters are read in the usual order (top to bottom, left to right), and each 'X' character is converted a Brainfuck instruction to be executed. The instruction is defined by the left, top and right neighbors of the 'X' character using the following conversion table:

You are given a string. Output a program in the described language which prints this string.

You can download the language interpreter used for judging here: https://assets.codeforces.com/rounds/952/puzzling-interpreter.cpp (use C++11 to compile the code). Note several implementation details:

• The first step of the language interpretation is conversion to a Brainfuck program, which is then executed.
• The code must be rectangular, with all lines of the same length. It can have at most 10,000 lines and 10,000 columns, and can have at most 500,000 'X' characters.
• The code has toroidal topology, i.e. the 'X' on the first line will have top neighbor in the last line.
• Brainfuck interpreter has 30000 memory cells which store integers from 0 to 255 with increment/decrement done modulo 256.
• Console input (, command) is allowed in Brainfuck code but has no effect when executed.