Puzzle 10: The Mouse's Pantry

ナゾ０１０　ネズミの食料庫
ネズミ君は壁の中の食料庫の奥に大事な
カギを隠していた。
でも、最近は打つそうな世の中だ。たまには
隠し場所を変えようと右のくぼみから
左のくぼみに移すことにした。
ところが、蓄えたチーズがたくさん
あって、なかなかうまく移動できない。
さあ、手伝ってあげてほしい。

Google Translate
Mr. Mouse was an important key to hide behind the wall in the food pantry.
But recently it is hit ever since. We decided to move once in a depression in the left pocket of the right to change the cache. However, there has regained a lot of cheese, can not move quite well. Now, I want to give you help.

Notes on Puzzle
A sliding box (or Klotski) puzzle, involving moving a key (2x1 block) through various blocks made of cheese.

Puzzle 007: Cleaning Mops

ナゾ００７　モップでお掃除
１日１回使うと、最低２日間は干さな
ければならないモップがある。しかも、
このモップは３回使うと痛んでしまい
使えなくなる。
このモップを使って、１日に１回、
３０日間続けて掃除をするとしたら、
最低何本おモップが必要になるだろう？

Google Translate
Times per day and use at least two days should have 干Sanakere mop. Moreover, this mop is not to be used three times away sorely use.
Mop with this one once a day, after 30 days in a row and do the cleaning, the mop will need something from your book?

Notes on Puzzle
A tricky logic puzzle, asking you how many mops you need to use if you want to clean continuously for 30 days (these are some pretty crappy mops. I mean, it takes two days to dry out and each time you use them they start breaking down? Yeesh. That's what a Swiffer is for!) I "solved" it by going forwards and backwards from my original number until I got the right answer. There's a fairly good leap in logic that I didn't get. I'm not sure whether it was just me being a dunce, or me not fully understanding the conditions in Japanese.