PeakFindingImproved$($A$,$ x$,$ y$)$:

$1.$ mid $=($x $+$ y$)/2$

$2.$ if A$[$mid$]<$ A$[$mid $1]$

$3.$ return PeakFindingImproved$($A$,$ x$,$ mid $1)$

$4.$ else if A$[$mid$]<$ A$[$mid $+1]$

$5.$ return PeakFindingImproved$($A$,$ mid $+1,$ y$)$

$6.$ return mid