{"id":"W2039275622","doi":"10.1016/j.dam.2010.08.011","title":"Enumeration of polyominoes inscribed in a rectangle","year":2010,"lang":"en","type":"article","venue":"Discrete Applied Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université du Québec à Trois-Rivières","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Polyomino; Inscribed figure; Enumeration; Mathematics; Rectangle; Combinatorics; Amortized analysis; Discrete mathematics; Data structure; Geometry; Computer science; Regular polygon","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006042148,0.0003231914,0.0007290539,0.0002244306,0.00005898784,0.00003087246,0.0004233358,0.0002299485,0.00009668124],"category_scores_gemma":[0.001059425,0.0002946631,0.0001111057,0.0004699879,0.0001345221,0.0001457501,0.0001320051,0.0004672263,0.00002762499],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004492521,"about_ca_system_score_gemma":0.00006183505,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006643219,"about_ca_topic_score_gemma":0.00007597359,"domain_scores_codex":[0.9977675,0.00002176974,0.001055006,0.00030443,0.00046865,0.0003826405],"domain_scores_gemma":[0.9975253,0.0008378368,0.0005596402,0.0008867886,0.00009700831,0.0000934329],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001971402,0.0003587338,0.00003206441,0.0003948651,0.00001913944,0.000002383318,0.002826648,0.000003004044,0.1764688,0.8192589,0.0000827327,0.0005329922],"study_design_scores_gemma":[0.0008342257,0.00003965662,0.0000334954,0.00008929486,0.00004074851,0.000008090238,0.000833258,0.000755507,0.09614931,0.9008077,0.0001124067,0.0002963424],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.936401,0.00001653449,0.027273,0.00007782378,0.0004265599,0.001166551,0.00001839159,0.0001933935,0.03442673],"genre_scores_gemma":[0.7124411,0.00000444826,0.287204,0.0000139251,0.00006753369,0.0001106952,0.000006843999,0.0000670826,0.00008437075],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.259931,"threshold_uncertainty_score":0.9999505,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01964492166825544,"score_gpt":0.29851666490603,"score_spread":0.2788717432377745,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}