Power
Given a sequence of bytes, each byte represents a subset of a specific group of 8 objects. Different bytes correspond to different, non-overlapping groups of objects. These groups are numbered in a specific order, which matches the order of the bytes in the sequence. Within each group, objects are numbered starting from zero, creating a one-to-one correspondence between the objects and the binary positions in the byte. An object is included in the subset if the corresponding bit in the byte is set to one; otherwise, it is excluded.
The task is to examine the unions of sets corresponding to consecutive groups.
You need to find the most frequently occurring non-zero cardinality among the unions of subsets from consecutive groups, where the cardinality equals four times the number of bytes in the range. If there are multiple cardinalities with the same frequency, select the largest one.
Remember, the cardinality of a finite set is the number of elements it contains.
Input
The input consists of a string representing the sequence of bytes. Each byte is represented by 2 consecutive characters, which form a two-digit hexadecimal number indicating the byte's value. The string's length is even and does not exceed 4000 characters.
Output
The output should be a single integer representing the desired cardinality.