Week of February 2nd:

Problem #1 answer: .3328; there is a cycle for every batch update where it shifts from ⅓ to a complex fraction approximating ⅓. This is at an offset of 6 Johnny groups and 2 Jimmy groups. Every Johnny group N-4 that is divisible by 3 is a complex faction case. The formula for the Jimmy group count is 1+ (N-4)/3. Therefore Jimmy has counted 201 groups by now and 201/604 is .3328.

Problem #2 answer: 2024.