Problem $7$ Consider the function provided. Answer the questions with one sentence each.

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$1$ unsigned int foo $($unsigned byte x$)$

$2\{$

$3$ int i;

$4$ int r$=1$;

$5$ for$($i$=1$;i$<=$x;i$++)\{$

$6$r$=$r$*$i;

$7\}$

$8$ return$($r$)$;

$9\}$

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a$)$ What does unsigned int in Line $1$ indicate?

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b$)$ What is the largest possible input $($in decimal$)$ that can be passed to this function?

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c$)$ How many times will Line $6$ be executed when this function is called?

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d$)$ What effect would replacing Line $4$ with $$int r$=0$x$0001$;$$ have?

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e$)$ What does this function do$?$

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