猫捉老鼠

野 菜 花

  WOW， 一夜间好心情如天女撒花一般，出了这么多好题

野 菜 花

  太欢迎了，有你这位全才的MM，我们这里一定会更加兴旺发达！

野 菜 花

pi^2/(pi-1)? www.ddhw.com

野 菜 花

Sorry, after checking I found I only got an upper bound, not a a supremum. www.ddhw.com   The mouse runs on a small circle with radius r, the pool has radius R, the mouse must run fast than the cat in radians, so that mouse could catch farest postion to dash to the edge of the pool. So rpi, otherwise the mouse always wins) ( on the scrach paper I only wrote r   On the other hand, (R-r) or kwww.ddhw.com

野 菜 花

I like to see your solution, either way is fine to me. Thanks! www.ddhw.com

野 菜 花

for the acute triangle probability question. If is not too much writing, would you post it? www.ddhw.com