English: If there is at least one horizontal step in the Schroeder path that lies at the same level as the beginning of the path, consider the leftmost (red) step and, without changing the previous (green) part, put the next (blue) part on the “legs”. The inverse transformation is obvious: if there is not a single horizontal step in the Schroeder path that lies at the same level with the beginning of the path, then we look for the rightmost point different from the end of the path, lying at the same level as the beginning of the path, lay the horizontal step of length 2 and cut off the “legs”.