R = confirmed regular
H = possibly heavy
L = possibly light
1: UUUU UUUU
If they are even:
8R and 4U
____2: UU UR
____If they are even:
____11R and 1U
________3: U R – see if the unknown is heavier or lighter
____If they are uneven:
____9R, 2H, 1L or 9R, 2L, 1H (the three unknowns in weighing 2 are either heavier or lighter depending on which side went down)
________3: H H or L L
________If even, the unweighted L or H is the rogue and you already know if it is heavier or lighter.
________If uneven, it is the heavier or lighter of the two, depending what your pair is.
If they are uneven:
4H, 4L, 4R
____2: HHHL HRRR (or LLLH LRRR, same logic applies)
____If they are even:
____One of the 3 unweighed L’s is a light rogue.
________3: L L
________If they are even:
________The third is the rogue. If uneven, the lighter of the two is the rogue.
____If the left side is heavier:
________One of the 3 H’s from the left is a heavy rogue. Same as above.
____If the right side is heavier:
________The L on the left or the H on the right are rogue. Pick one and weigh it with an R. The outcome will tell you which is rogue, and
________they are already H or L so you know if it is heavy or light.