On values of affinity level for almost all Boolean functions

In the current paper, we consider asymptotic form of values of one parameter of Boolean functions, namely affinity level (generalized affinity level). We prove that asymptotically (with $n\to\infty$) values of affinity level (generalized affinity level) for almost all Boolean functions are all in the segment $[n-\log_2n,n-\log_2n+1]$.