Consider the following data:

Hash$(x)=$xmod$13,hi=(Hash(x)+F(i))\%13$

$[5$Marks$]$

Where $F(i)=i^{**}h2(x)$ with $h2(x)=11-(xmod11)$ and $i$ is the ith time hashing is applied for same value of $x$ when collision occurs.

Solve the following double hashing problem for the input $97,30,110,39,52$ clearly indicating the collisions.