F - Chef and Weird Equation

Chef's teacher Mr. Alberto has given him two integers $N$ and $X$ and assigned him the following task. Consider $D$ be the set of all divisors of $N$ and let its elements be $D_1,D_2,D_3.....,D_k$. Further consider another **any** set of **non-negative** integers $P$ as $P_1,P_2,P_3....,P_k$ such that the equation $D_1*P_1+D_2*P_2+D_3*P_3+....+D_k*P_k-X=0$ always holds true.Mr. Alberto defines