Modeless in Cyberspace

In an earlier post, I introduced a new type of puzzle called Han’en and a variant of it called Perfect Han’en. To solve some of the more difficult Perfect Han’ens, I have had to apply a special technique that I have left it to the mathematically-inclined reader to rediscover. If you have solved this difficult Perfect Han’en using techniques that are not applicable to either Sudoku or Kakuro, I invite you to explain your techniques in a comment on this post.