Algorithm 2 VERY STRANGE ALGORITHM Require: Integer n 1: S+0 2: for i 1... n do 3: S+S+2-2-1 4: end for 5: return S What are the correct values for X, Y and Z in order to obtain a correct loop invariant: At the beginning of iteration / (i.e., after / is updated in Line 2 and before the code in Line 3 is executed) the following property holds: S-X-2 +2" (1- (7) Hint: recall that 2-21-1. . X: Y: Z: :

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