Certainly! Here's the complete text from the image, including the code: Please use the given SELECT to select the $4$th smallest element from the array

$6,0,2,4,7,-2,-4,3$

$(50$ points, please show detailed steps for full credits$).$

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$**2.$ Please use the given SELECT to select the $4$th smallest element from the array$**$

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$[6,0,2,4,7,-2,-4,3]$

$```$

$(50$ points, please show detailed steps for full credits$).$

$```$

SELECT$($A$,$ p$,$ r$,$ i$)$

$1$ if p $==$ r

$2$ return A$[$p$]$

$3$ q $=$ PARTITION$($A$,$ p$,$ r$)$

$4$ k $=$ q $-$ p $+1$

$5$ if i $==$ k $//$ the pivot value is the answer

$6$ return A$[$q$]$

$7$ elseif i $$ k

$8$ return SELECT$($A$,$ p$,$ q $-1,$ i$)$

$9$ else return SELECT$($A$,$ q $+1,$ r$,$ i $-$ k$)$

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$```$

PARTITION$($A$,$ p$,$ r$)$

$1$ x $=$ A$[$r$]$

$2$ i $=$ p $-1$

$3$ for j $=$ p to r $-1$

$4$ if A$[$j x

$5$ i $=$ i $+1$

$6$ exchange A$[$i$]$ with A$[$j$]$

$7$ exchange A$[$i $+1]$ with A$[$r$]$

$8$ return i $+1$

$```$