##### ###### ##### ### # # ### # # ###### ## ## ## ## ## ## ## # # # # # ## ##### #### ##### # # # # # # # #### ## # ## ## ## ## # # # # # ## ## # ###### ## ### # ### # ######
##### ###### ##### ### # # ### # # ###### ## ## ## ## ## ## ## # # # # # ## ##### #### ##### # # # # # # # #### ## # ## ## ## ## # # # # # ## ## # ###### ## ### # ### # ######
When overlap trick works
The overlap trick works for idempotent operations: .
Idempotent: - : ✓ - : ✓ - : ✓ - Bitwise AND: ✓ - Bitwise OR: ✓ NOT idempotent: - Sum: ✗ - Product: ✗ - XOR: ✗ - Count: overlapping counts twice ✗ For non-idempotent operations, you can still use Sparse Table, but queries become because you must use non-overlapping ranges. Time: . Space: .
