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R0058-29861 · q-20261013-advance-20261020-r04-optimization-problem-0011
Use the complete explicitly declared finite candidate list and Boolean feasible mask, with at least one feasible candidate. Preserve original zero-based indices and every tie; no unlisted or continuous-domain optimum or general complexity claim is inferred. values=[0, 5, 2, 0], feasible=[true, true, true, true]. Give (all values, feasible mask, every feasible original index).
G001 — Use the complete explicitly declared finite candidate list and Boolean feasible mask, with at least one feasible candidate. Preserve original zero-based indices and every tie; no unlisted or continuous-domain optimum or general complexity claim is inferred. values=[0, 5, 2, 0], feasible=[true, true, true, true]. Give (all values, feasible mask, every feasible original index).Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate.
Before
source roles = [qf-app20-optimization-feasible-filter, optimization-feasible-filter]
After
derived = [[values, mask, feasible_indices]]
Conditions: none
Follow THIS bank exact keys,domain/frame,operation and answer role.STR22/App20 tuples differ from legacy scalars;retain or omit/1 by the ORIGINAL contract,not a generic visual convention.
Rule: R58_EXACT_source_interface_and_answer_ROLE · Uses: G001
Before
source roles = [[0, 5, 2, 0], [Yes, Yes, Yes, Yes]]
After
derived = [[0, 1, 2, 3]]
Conditions: none
Require an ACTUAL Boolean mask aligned to original slots and retain zero-based indices with at least one eligible candidate.A better objective cannot change False to True,and0/1 are not Booleans.
Rule: Optimization_EXACT_Boolean_mask_ORIGINAL_zero_indices · Uses: G001, S001
S002 · premise_and_result_audit — Reverse-check EACH original datum,index,direction,representative and premise,not only the answer.Exact candidate checking,independent review,formal proof and publication clearance remain separate.S001 · premise_and_result_audit — Reverse-check EACH original datum,index,direction,representative and premise,not only the answer.Exact candidate checking,independent review,formal proof and publication clearance remain separate.([0, 5, 2, 0], [Yes, Yes, Yes, Yes], [0, 1, 2, 3])
The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.
Review date: 2026-10-26
Original questions, answers, step expressions, numeric ASTs and historical records are retained. Source candidate labels remain historical and are not overwritten as formal proof.
input commit: 0f7be61e2c22317a4075561dc822c87d881a50dboriginal question SHA-256: 84522b59eaf3110e181d4c2109fffc998c21a4d725c0c855866880254cc26d57candidate record SHA-256: 5c3a096396f7f718880cd1c97be6cc82c91ad8fa7b480c57337e93759c56b9c7semantic review receipt SHA-256: 66bbb31c5fe644576dfd47ac71ca9e367fc23b948eac8e3eb648d96dadea05dfquestion-first witness SHA-256: b1e4fbdbca8d0ac3581e2f26466374d870f3c8498fab7cf6873feca5bbec44e7Lean: NOT_RUN · human review: NOT_PERFORMED