2 problems

Finiteness conjecture. There are only finitely many clonoids from $\mathbf{A}$ to $\mathbf{B}$ if and only if $\mathbf{A}$ and $\mathbf{B}$ are of coprime order.

Kac's conjecture. For every partition $\lambda$, there exists a monic polynomial $c_\lambda(q)$ of degree $|\lambda|$ whose coefficients are all non-negative integers such that, fo…