For a $1-$dimensional lateral feedback network consistingof N $=11$ neurons, assuming that the feedback factor alpha $=7$ the binary ramp function saturation threshold S $=50$: the parametric values of the Mexican hat function has a center excitatory region of width $2$a $+1=5$ and height b $=0\mathrm{.}06$ and an inhibitory region of width M$-$ a $=3$ and height c $=-0\mathrm{.}04$ on two sides.

At iteration k $-1$: Given y $*1=0$ ; y $2=0\mathrm{.}1930$: y $*3=0\mathrm{.}3455$ y $*4=0\mathrm{.}6545$ y $*5=0\mathrm{.}9045.$ y $*6=1\mathrm{.}3126$ y $*7=0\mathrm{.}9045$ y $*8=0\mathrm{.}6545,$ y $*9=0\mathrm{.}3455.$ y $*10=0\mathrm{.}193.$ y $*11=0.$ Show the step$-$by$-$step calculation in the Electronic Answer Book $($to be added as an attachment below$)$ to obtain the values of the outputs y$1$ to y$11$ at iteration k to determine the maximum output at iteration k and type the maximum value rounded to $4$ decimal places $($as Your Answer below for grade$).$