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Consider the following algorithm.
function fun(N)
if N = 0 then
return 1
else if (N % 2 == 0)
return N - fun(N-1)
else
return N + 2 × fun(N-1)
end if
end function
(a).
State what would occur if the first "if statement" were removed.
[1](b).
Trace the algorithm when N=4 by completing the following trace table.
[3]N | fun(N) returns
-------------------
4 |
3 |
2 |
1 |
0 |
(c).
State the final output of the algorithm when N=4.
[1]
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