For a $1-$dimensional lateral feedback network consisting of 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$1=0\mathrm{.}0000$; y$2=0\mathrm{.}1982$; y$3=0\mathrm{.}3455$; y$4=0\mathrm{.}6545,$ y$5=0\mathrm{.}9045,$ y$6=1\mathrm{.}4707,$ y$7=0\mathrm{.}9045,$ y$8=0\mathrm{.}6545,$ y$9=0\mathrm{.}3455,$ y$10=0\mathrm{.}1982,$ y$11=0\mathrm{.}0000.$ 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