Let G and H both be pseudorandom generators with the same length function (n) n2 (so both G and H always add two to the length of their inputs). Define a new function F so that F(02)=G(z) and F(12)=H(2) (Thus, if F is given an input that starts with a 1, it outputs the result of applying G to the remainder of the bits. If it is given an input that starts with a 0, it outputs the result of applying H to the