Let $$$F(l, r) = a_l | a_{l + 1} | \dots | a_r$$$ (the bitwise OR of the elements in $$$[l, r]$$$), if you fix $$$j$$$, over all $$$i \le j$$$, how many distinct values (at most) of $$$F(i, j)$$$?

Suppose you make at each point $$$r$$$ in the array a vector queries[r] where queries[r] is a list of all queries that have left boundaries at $$$r$$$. If you loop over the array from left to right with a pointer $$$i$$$, can you add the contribution of elements in a way such that you can answer all queries with right boundary at $$$i$$$?

Maintain a map mx where mx[o] is the maximum $$$l$$$ such that there exists $$$r$$$ where $$$F(l, r) = o$$$. Each time you pass by an element at index $$$r$$$, you go over the first 30 $$$l \le r$$$ where $$$F(l, r)$$$ changes, and you can update mx[o]. How can you calculate such changes?

What can you do with mx so that you can answer queries in the vector queries[r] efficiently?