Before Mr. McCudgeon's asserton, both Jichochi and Maw go up to the computer with their final guesses for the night. It's 11:56. The computer denies them. Both wrong. Being their final guess so close to the end, though, it takes pity and leaves them conscious. That's it for guessing for them though. The only way they can win is someone else in their alliance guessing for them..
Then comes Mr. McCudgeon with not a little swagger, saying something that really can't be confirmed or denied until the truth comes out at midnight. "But hold that thought, Mr. McCudgeon sir," both the detectives and wall computer (though with less verbal tact) say.