Leave $ c ℕ₊ ℕ₊ $ be constant and $ p∈ {0,1 } ^ c $ a fixed bit pattern wide $ c $.

Suppose the input length is structured as a block list $ b_1 … b_n $, each block has width $ c $; Is it possible to calculate the number of blocks the same? $ p $ (that is to say., $ bigl lvert {i <n mid b_i = p } bigr rvert $) in binary with a family of NC¹ circuits with uniform record space? Why or why not?