Problem Statement

Maximum Set of Unique Happy Numbers A happy number repeatedly replaces itself with the sum of the squares of its decimal digits until it reaches `1`; numbers that loop without reaching `1` are not happy. From the inclusive range `X` to `Y`, form the largest set of happy numbers such that no two chosen numbers are permutations of one another's digits. Print its size. Input Two integers `X` and `Y`. Output The largest size. Constraints `0 <= X, Y <= 100000`.