Consider a Boltzmann machine as shown in below figure with three hidden units and three visible units. The biases are zero and connections weights are marked on the respective edges. Here, $t=\frac{\text{m}\text{o}\text{d}(s,5)+1}{10},$ the value of $s$ is equal to the number of characters in your first name and mod represents the modulus operator.

$($a$)$ Find the energy of the configuration $(h_0,h_1,h_2,v_0,v_1,v_2)=(1,0,1,0,0,1).$

$($b$)$ What changes should be made in the given $RB$ to make it a restricted Boltzmann machine $($RBM$)?$

$($c$)$ Find the probability $p(v_1=0|h_0=1,h_1=1,h_2=1)$ for the resulting RBM$.$

where s$=19$