We have the Markov network over $3$ binary variables: $.$ We define a pairwise

Markov random field $($MRF$)$ over this network. We define the following features.

$!()=1=,0$ otherwise. $!=$ ln $(2).$q

$"()=1=,0$ otherwise. $"=$ln $(3).$

$$#$()=1=,0$ otherwise. $$# $=$ ln $(4).$

$$$$(,)=1=,0$ otherwise. $$$ $=$ln $(5).$

$\%(,)=1!=,0$ otherwise. $\%=$ ln $(6).$

$(,,)=1$

$$& $(!"$

#$# $\backslash$times $*!(,,.,/)$

Note that to simplify the notation, we simply wrote $2(,,),$ though features are

defined only over nodes and edges. Assume $2$ ignores the variables that it is not defined

over. For example, $!(,,)=!().$ Populate the following table.