def find_longest_common_suffix(all_paths, current_path):
    """
    Find the longest common suffix between the current_path and all other paths in all_paths.

    Args:
        all_paths (List[str]): A list of all path strings.
        current_path (str): The path string for which the longest common suffix is calculated.

    Returns:
        int: The length of the longest common suffix.
    """
    max_common_suffix_length = 1
    paths = [path for path in all_paths if path != current_path]
    for i in range(1, len(current_path.split('/'))):
        if any('/'.join((path.split('/')[-i:])) == '/'.join(current_path.split('/')[-i:])
               for path in paths
               if len(path.split('/')) >= i):
            max_common_suffix_length += 1
        else:
            break

    return max_common_suffix_length


def shorten_paths(paths):
    """
    Shorten the input paths by finding the longest common suffix for each path and keeping only the required parts to distinguish between them. Also, return a dictionary mapping the original paths to their shortened versions.

    Args:
        paths (List[str]): A list of input path strings.

    Returns:
         Dict[str, str]: A dictionary mapping the original paths to their shortened versions.
    """
    shortened_paths = []
    path_mapping = {}

    for path in paths:
        split_path = path.split('/')
        max_common_suffix_length = find_longest_common_suffix(paths, path)
        shortened_path = '/'.join(split_path[-max_common_suffix_length:])
        shortened_paths.append(shortened_path)
        path_mapping[path] = shortened_path

    return path_mapping
