The idea is nice, but the statistical odds are against you. Say you have a 50% chance of picking it right each time. With the play in games, you have a 1 in 4 chance of getting those right. With the regular 32 games, you would need to get all of them right, or 1 in 2^32. With the next 16 games, you would need to get 2^16 correct. Then 2^8, 2^4, 2^2, and then 2^1.

Multiply them all together, you get 1 / (2^2 * 2^32 * 2^16 * 2^8 * 2^4 * 2^2 * 2^1) = 1 / (2^65)...crazy small odds.