In this problem is it necessary to apply all given operations type? because we can simply find the result of given input and output the XOR of (result,n) .
result of operations is 1 ,so to get 1 we can have 3^2, so output :
am I missing something?
3 is no of line not the first no.
Resultant operations should be such that they give correct output for all values.
e.g. - Explanation given in question -
((x&1)&3)&5 = x&(1&3&5) = x&1.
And this statement in true for all x.
And your e.g. -
(((x|3)^2)|1) = ((x|3)^2) != (x^2)
e.g. x = 1. Output after all operations (((1|3)^2)|1) but your output 1^2=3