CLASSIC 6x6 BINARY PUZZLE CLUE AUDIT Original exhaustive experiment, 2026-10-19 Rules: equal counts, no triples, distinct rows and distinct columns. Dots/underscores mark unknown cells. Coordinates start at 1. Enumeration: 14 valid row patterns, 4,140 complete boards. All counts below are exact, not capped at 2. Each deletion is independent; restore the clue before the next test. Global minimum has NOT been established. Puzzle A / 11 givens / 1 solution ______ _11__0 ____0_ 0__1__ _1___0 _01_0_ Clue erased,Given value,Solutions remaining R2C2,1,12 R2C3,1,3 R2C6,0,2 R3C5,0,3 R4C1,0,5 R4C4,1,10 R5C2,1,4 R5C6,0,2 R6C2,0,2 R6C3,1,2 R6C5,0,6 Puzzle B / 7 givens / 1 solution _0___0 __1__0 __1___ 0____1 ______ ______ Clue erased,Given value,Solutions remaining R1C2,0,28 R1C6,0,20 R2C3,1,40 R2C6,0,12 R3C3,1,19 R4C1,0,7 R4C6,1,5 SHARED UNIQUE ANSWER 100110 011010 101001 010101 110010 001101 Alternative answer for every independent deletion Puzzle A without R2C2 010011 101010 001101 010101 110010 101100 Puzzle A without R2C3 001011 010110 101001 010101 110010 101100 Puzzle A without R2C6 100110 011001 100101 010110 011010 101001 Puzzle A without R3C5 010101 011010 100110 001101 110010 101001 Puzzle A without R4C1 100101 011010 011001 100110 010110 101001 Puzzle A without R4C4 010101 011010 100101 001011 110010 101100 Puzzle A without R5C2 010011 011010 100101 010101 101010 101100 Puzzle A without R5C6 100110 011010 100101 010110 011001 101001 Puzzle A without R6C2 100110 011010 100101 001101 110010 011001 Puzzle A without R6C3 001011 011010 110100 001101 110010 100101 Puzzle A without R6C5 100101 011010 101001 010101 010110 101010 Puzzle B without R1C2 010110 011010 101001 010101 101010 100101 Puzzle B without R1C6 100101 011010 101001 010101 010110 101010 Puzzle B without R2C3 100110 010110 101001 010011 101100 011001 Puzzle B without R2C6 100110 011001 101010 010101 001011 110100 Puzzle B without R3C3 100110 011010 100101 001101 110010 011001 Puzzle B without R4C1 100110 011010 001101 100101 110010 011001 Puzzle B without R4C6 100110 011010 101001 010110 011001 100101