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I am looking for 3 words in the form AB, BC, CA where A, B, and C are strings of letters. The words should satisfy the following descriptions.

AB:
- figure from Greek mythology who is also famous for shrugging his shoulders

BC:
- word of Western European roots referring to a young woman

CA:
- a really hard problem or some collection of easier problems

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    $\begingroup$ It's not a train, it's a ring $\endgroup$ – Kyle Delaney Jan 1 at 20:05
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I'm thinking:

AB - figure from Greek mythology who is also famous for shrugging his shoulders

AB = atlas

BC = word of Western European roots referring to a young woman

BC = lass

CA = a really hard problem or some collection of easier problems

CA = SAT

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    $\begingroup$ this one was first :) $\endgroup$ – htmlcoderexe Jan 1 at 12:12
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I think the answer is:

A = AT
B = LAS
C = S

So AB:
- figure from Greek mythology who is also famous for shrugging his shoulders

ATLAS ("Atlas Shrugged" is a novel title)

BC:
- word of Western European roots referring to a young woman

LASS

CA:
- a really hard problem or some collection of easier problems

SAT - either the complex Boolean satisfiability problem OR a collection of easier problems for college entrance exams

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