where symbol $\backslash$geocircle stands for element$-$wise multiplication. The adjustable parameters in this unit are matrices W$^$f$\_$t h$,$ W$^$f$\_1$ x$,$ W$^$i$\_4$ h$,$ W$^$i$\_$q x$,$ W$^$o$\_1$ h$,$ W$^$o$,$ t z$,$ W$^$c$\_2$ h$,$ W$^2$ as the offset parameter vectors b$\_$f$,$ b$\_\backslash$xi $,$ b$\_$o$,$ and b$\_$c$.$ By changing these parameters, we change how the unit evolves as a function of inputs x$\_$t$.$ To keep things simple, in this problem we assume that x$\_$t$,$ c$\_$t$,$ and h$\_$t are all scalars. Concretely, suppose that the parameters are given by $[$ W$^$f$\_$i$,$ h$=0$ W$^$f$\_1$ x$=0$ b$\_$f$=-100$ W$^$c$,$ h$=-100$; W$^$i$,$ h$=0$ W$^$i$,$ x$=100$ b$\_$i$=100$ W$^$c$,$ x $=50$; W$^$o$,$ h$=0$ W$^$o$,$ x$=100$ b$\_$o $=0,$ b$\_$c $=0]$ We run this unit with initial conditions h$\_-1=0$ and c$\_-1=0,$ and in response to the following input sequence: $[0,0,1,1,1,0]($For example, x$\_0=0,$ x$\_1=0,$ so on$).$ LSTM states $0/1$ point $($graded$)$ Calculate the values h$\_7$ at each time$-$step and enter them below as an array $[$h$\_0,$ h$\_1,$ h$\_2,$ h$\_3,$ h$\_4,$ h$\_5].($Please round h$\_$t to the closest integer in every time$-$step. If h$\_$t$=\backslash$pm $0\mathrm{.}5,$ then round it to $0.$ For ease of calculation, assume that sigmoid $($x$)1$ and tanh $($x$)1$ for x $>=1,$ and sigmoid$($x$)0$ and tanh $($x$)-1$ for x $<=-1.)$ You have used $1$ of $5$ attempts LSTM states $20/1$ point $($graded$)$ Now, we run the same model again with the same parameters and same initial conditions as in the previous question. The only difference is that input sequ $[1,1,0,1,1]$ Calculate the values h$\_$t at each time$-$step and enter them below as an array $[$h$\_0,$ h$\_1,$ h$\_2,$ h$\_3,$ h$\_4].$