The following algorithm is used to find the integer square root for an input integer number $x[$ Ex$1$: if xin$\{4,5,6,7,8\},$ then the result integer square $\sqrt[Y]{?}=2]$

$[$ Ex$2$: if xin$\{9,10,11,12,13,14,15\},$ then the result integer square root $Y=3]$

$\backslash$table$[[(n-$bit integer number$)],[$Output: $Y=\sqrt[\phantom{2}]{x}$