Solutions

LM-C05-C-001

re start able has three pieces, so it produces 3 tokens.

LM-C05-C-002

The sequence is a b a b a b. The adjacent pair a b appears at positions 1-2, 3-4, and 5-6, so the count is 3.

LM-C05-C-003

Both a b pairs merge. The sequence becomes ab ab, so it has 2 tokens.

LM-C05-C-004

The original length is 9 and the truncated length is 6. The number removed is 9 - 6 = 3.

LM-C05-C-005

The embedding matrix has one row per token id. A 32,000-token vocabulary has 32,000 rows.