The Inexplicable Giant Floating Baby Head

$$\textit{A Dr.D's Legacy Original}$$ Dr.D wishes to choose exactly $K$ distinct integers from a given interval $[L, R]$ in such a way that the bitwise AND of the chosen integers is maximum possible. Find this maximum value. ### Input - The first line of the input contains a single integer $T$ denoting the number of test cases. The description of $T$ test cases follows. - The first and onl