回复：三个特例，包括（难度-低）。望起抛砖引玉之功效。

Let f(m,n) is B's cakes. We can get following recursive
function:
f(m,n)=1/2(1+f(m-1,n)+f(m-1,n-1))
f(m,m)=m/2,f(1,0)=0.
Most recursive
functions can't be simplified,but this can...if you have time.