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Guides competitive idea generation and ranking using tree-structured search (up to N_I=21 candidates across technique/domain/formulation axes) and Elo tournaments (4 dimensions: novelty, feasibility, relevance, clarity). Produces a ranked direction summary and full research proposal. Use when: user has a research direction and needs concrete ranked ideas, wants to compare multiple approaches, or mentions 'rank ideas', 'compare approaches', 'which idea is best', 'research proposal'. Do NOT use for finding a research direction from scratch (use research-ideation) or planning the paper itself (use paper-planning).