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Algorithm1: Secret (A_(0dotsn-1)) Data: Input: An array A[0dotsn-1] of n real numbers for ilarr0 to n-2 do for jlarri+1 to n-1 do if A[i]=A[j]

Algorithm1: Secret

(A_(0dotsn-1))

\ Data: Input: An array

A[0dotsn-1]

of

n

real numbers\ for

ilarr0

to

n-2

do\ for

jlarri+1

to

n-1

do\ if

A[i]=A[j]

return false\ return true\ a) What does this algorithm compute?\ b) What is its basic operation?\ c) How many times is the basic operation executed?\ d) What is the efficiency class of this algorithm?\ e) Suggest an improvement or a better algorithm altogether and indicate its efficiency class. If you\ cannot do it, try to prove that, in fact, it cannot be done.

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