(Answered) 1 identify an invariant predicate of thenbspwhilenbsploop

Engineering

(1) Identify an invariant predicate of the while loop suitable for proving that the algorithm returns the expected value. Then, give a loop variant expression suitable for proving that the algorithm will always terminate.

ALGORITHM SumPos(A[0..n - 1])

// Returns the sum of the positive numbers in an array A of length n. We

// assume that the sum of the numbers in an array of length zero is zero.

t ← 0

i ← 0

while i ≠ n do

if A[i] > 0

t ←t + A[i]

i ← i + 1

return t

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