称蛋题正解

来源: fouquets 于 2011-01-15 23:11:42 [] [旧帖] [给我悄悄话] 阅读数 : (832 bytes)
本帖于 2011-01-16 16:09:54 时间, 由普通用户 snowboy128 编辑

no drink today, here is the solution:

three groups: A 1234, B 1234, C 1234

first weighing: A vs B

1. if A = B

second weighing C1 + A1 vs C2+C3

1.1 if C1+A1=C2+C3

third weighing A1 vs C4

tells C4 under or over weight
1.2 if C1+A1
the C1 under weight or C2/C3 over weight

third weighing C2 vs C3 will tell

2. if A1234
second weighing A1+B1+C1 vs A2+A3+B2

2.1 if A1+B1+C1 = A2+A3+B2

then A4 under weight or B3/B4 over weight

third weight B3 vs B4 will tell

2.2 if A1+B1+C1
then A1 under weight or B2 over weight

third weighing A1 vs C1 will tell

2.3 if A1+B1+C1 > A2+A3+B2

then A2/A3 under weight or B1 over weight

third weighing A2 vs A3 will tell


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