Bob selects an integer x in the range Bob selects an integer $\backslash ($ x $\backslash )$ in the range $\backslash ([1.$ n$]\backslash )$ for $\backslash ($ n$=2^\{$k$\}\backslash )$ and $\backslash ($ k$>1\backslash ).$ Alice is trying to find $\backslash ($ x $\backslash )$ using the binary search procedure. After exactly $\backslash ($ k $\backslash )$ questions of the type: $"$is $\backslash ($ x $\backslash )$ less than $\backslash ($ i $\backslash )"$ for some $\backslash (1$