Fill with one ordered 4-letter string to complete the run: ac_bacc_a_cba_cb.
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Acbcc
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Bcbbc
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Ccaac
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Dbbcb
Answer
Correct Answer: cbbc
Explanation
Introduction / Context:This sequence is built from the letters a, b, c with stable tiles like “ac”, “bacc”, and “cba”. We must insert one 4-letter option to realize a coherent concatenation of these tiles.
Given Data / Assumptions:
- Skeleton: a c _ b a c c _ a _ c b a _ c b
- Options (4 letters each): cbcc, cbbc, caac, bbcb.
Concept / Approach:We look for a fill that (i) closes “ac_ba” into “acb a…”, (ii) keeps “bacc” intact, and (iii) bridges into “…cba…” without creating clashes like “aa” or “bbb” where the pattern favors alternating around c.
Step-by-Step Solution:1) Try “cbbc”: insert c then b to obtain “ac c b a c c…”, which keeps “acc” and then “bacc” contiguous.2) The third letter b sustains the b-centered mid segment, and the fourth letter c prepares the handoff into “cba”.3) Alternatives introduce inconsistencies: “cbcc” yields over-stacked c’s; “caac” creates double a’s in a sensitive zone; “bbcb” leaves an early b-b congestion that breaks the “ac/bacc” cadence.
Verification / Alternative check:Re-scan to see standard sub-blocks “ac”, “bacc”, “cba” appearing with clean joints.
Why Other Options Are Wrong:
- cbcc: Too many consecutive c’s mid-run.
- caac: Produces “aa” misfit across an “ac/ca” boundary.
- bbcb: Forces b-clusters that mute the required c-anchors.
Common Pitfalls:Greedy local fits that ruin later obligatory tiles like “cba”.
Final Answer:cbbc