procedure divide (n: positive integer) while n ? 0 begin m := 1/n n := n - 1 end
ID: 3416876 • Letter: P
Question
procedure divide (n: positive integer)
while n ? 0
begin
m := 1/n
n := n - 1
end
output(m)
A. This algorithm works and outputs 1/n.
B. When n=1 is the input, after the first iteration of the while loop we have m=1 and n=0.
C. When n=1 is the input, on the second iteration of the while loop a division by zero occurs.
D. This algorithm lacks definiteness since division by zero occurs.
E. This algorithm works and always outputs 1.
F. When n=1 is the input, the algorithm exits the while loop after the first iteration and outputs m=1.
Explanation / Answer
A True
B False
C False
D True
E True
F True
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