JEE Advanced 2026 Mathematics question

For a real number , let denote the greatest integer less than or equal to . For a finite set , let denote the number of elements in the set .

Consider the functions and defined by

f(x)=(1+(π(x-[x])))

and

g(x)=(π(1+x-[x])).

Let

A=\{x(-3,3):f is discontinuous at x\}

and

B=\{x(-3,3):g is discontinuous at x\}.

Then the value of is .