Binary Game

### Read problem statements in [Russian](https://www.codechef.com/download/translated/LTIME94/russian/BINARYGA.pdf) You are given a sequence of $16N$ positive integers $a_1,a_2,\ldots,a_{16N}$. You may shuffle this sequence in any way you choose, i.e. change it to any one of its permutations. Then, let $$x=(a_1 \oplus a_2) \otimes (a_3 \oplus a_4) \otimes \ldots \otimes (a_{8N-1} \oplus a_{8N