Question: 2. Given the following recursive algorithm: procedure sum(x, y) Input: x: nonnegative integer, y: nonnegative integer Output: x+y: nonnegative integer if y=0 then return

2. Given the following recursive algorithm: procedure sum(x, y) Input: x: nonnegative integer, y: nonnegative integer Output: x+y: nonnegative integer if y=0 then return x else return sum(x, y-1) + + 1 Prove that sum (x, y) returns x+y for any nonnegative integers x and y. 2. Given the following recursive algorithm: procedure sum(x, y) Input: x: nonnegative integer, y: nonnegative integer Output: x+y: nonnegative integer if y=0 then return x else return sum (x, y-1) + + 1 Prove that sum(x, y) returns x+y for any nonnegative integers x and y.

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