In the function c$4$ good eval, write a new evaluation function. Using this function,

write code in problem $1$c that will play an alpha$-$beta agent with depth cutoff $4$ using

your evaluation function against a random agent. Play once as X and once as O$.$

$($Note: For this problem and also $1($d$)$ and also $2($b$),$ it may help to write

a version of your eval function to evaluate as $$X$$ and another version of

your eval function to evaluate as $$O$.$ This is fine.$)$ Have the function return a

tuple $($nx$,$ no$),$ where nx is the number of games that your agent wins as X$,$ and no is

the number of games that your agent wins as O$.$ So if you win both games, you return

$(1,1).$

Describe $(2-3$ sentences$)$ your evaluation function in your writeup and explain $(2-3$

sentences$)$ why you think it should do well. If your agent doesn$$t usually win against

a random agent, then you probably did something wrong.

d$.$ In the function problem $1$d$,$ run $8$ games of an alpha$-$beta$-$cutoff agent using my eval$-$

uation function versus an alpha$-$beta$-$cutoff agent using your evaluation function, with

each agent playing $4$ times as X and $4$ times as O$.$ Run four of games at depth limit

$2$ for both agents, then four games at depth limit $3$ for both agents. Return a tuple

$($nx$,$ no$),$ where nx is the number of games that your agent wins as X$,$ and no is the

number of games that your agent wins as O$.$ So if you win all $8$ games, you return

$(4,4).$

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