e = equal, l = left side down, r = right side down, → indicates marble is in that group but moves to the other side than it was previously
Marble | weighings 1 | weighings 2 (opposite direction) | Groups that include the imposter |
---|---|---|---|
eee (not gonna happen) | |||
A | eel | eer | 3 |
B | ele | ere | 2 |
C | ell | err | 2,3 |
D | elr | erl | 2,→3 |
E | lee | ree | 1 |
F | lel | rer | 1,3 |
G | ler | rel | 1,→3 |
H | lle | rre | 1,2 |
I | lll | rrr | 1,2,3 |
J | llr | rrl | 1,2,→3 |
K | lre | rle | 1,→2 |
L | lrr | rll | 1,→2,3 |
With these groupings, you can use the end result to determine which marble is the impostor and whether it is heavier or lighter:
FGHL ▴ EIJK
BDHK ▴ CIJL
AFJL ▴ CDGI