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"regular_MT_Gear": 4, "S": -6341, "q": -5283, "R": 2652, "n": 3710, "cumulative_source_admitted": false, "regular_source_admitted": false, "joint_source_admission": false, "regular_source_record": null, "left_right_widths": [ 1058, 1058 ], "crosswidths": [ [ 8993, 10051 ], [ 7935, 8993 ] ], "two17K": true, "two2K_sides": true, "allK": true, "phases": [ { "phase": "-1/4", "S": "-25365/4", "q": "-21133/4", "R": "10607/4", "n": "14839/4", "two17K": true, "allK": true, "joint_source_admission": false }, { "phase": "1/4", "S": "-25363/4", "q": "-21131/4", "R": "10609/4", "n": "14841/4", "two17K": true, "allK": true, "joint_source_admission": false } ] } ], "four_choice_summary": [ { "a": 0, "b": 0, "annual_cases": 5, "joint_admitted": 5, "two17K": true, "two2K_and_allK": false, "widths": [ 1060, 1060 ], "crosswidths": [ [ 8993, 10053 ], [ 7933, 8993 ] ] }, { "a": 0, "b": 2, "annual_cases": 5, "joint_admitted": 3, "two17K": false, "two2K_and_allK": false, "widths": [ 1060, 1058 ], "crosswidths": [ [ 8995, 10053 ], [ 7935, 8993 ] ] }, { "a": 2, "b": 0, "annual_cases": 5, "joint_admitted": 3, "two17K": false, "two2K_and_allK": false, "widths": [ 1058, 1060 ], "crosswidths": [ [ 8991, 10051 ], [ 7933, 8993 ] ] }, { "a": 2, "b": 2, "annual_cases": 5, "joint_admitted": 3, "two17K": true, "two2K_and_allK": true, "widths": [ 1058, 1058 ], "crosswidths": [ [ 8993, 10051 ], [ 7935, 8993 ] ] } ], "counts": { "annual_configurations": 20, "phase_configurations": 40, "source_admitted_annual": 14, "source_admitted_phases": 28, "formal_two17K_annual": 10, "source_admitted_two17K_annual": 8, "formal_allK_annual": 5, "source_admitted_allK_annual": 3 }, "rank_and_choice": { "duration_incidence_rank": 3, "two_choice_sensitivity_rank": 2, "equal17K_choice_constraint": "b\u2212a=0, rank1: admits00and22", "allK_choice_constraint": "a=2 and b=2, rank2: selects22 in this finite menu", "a_b_are_source_distinct": true, "source_prescribed_selector_established": false, "new_independent_empirical_measurements": false }, "interpretation": "Equal17K bridges alone do not select the allK rectangle. The00 route preserves equal17K in all five source cases with1060-year sides;22 alone yields2K sides/allK and has three admitted cases. The finite choice audit establishes conditional specificity, not a source rule prescribing22.", "suggested_next_bounded_question": "Audit the minimal independent equation set and unresolved source-selector obligation after distinguishing the00and22 alternatives, retaining finite source boundaries and exact phase ancestry.", "later_step_executed": false }