Nov 28 - Very Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R1C1 can only be <4>
R1C3 can only be <7>
R2C2 is the only square in row 2 that can be <3>
R2C7 is the only square in row 2 that can be <5>
R2C9 is the only square in row 2 that can be <8>
R2C8 is the only square in row 2 that can be <6>
R2C5 is the only square in row 2 that can be <7>
R7C3 is the only square in row 7 that can be <2>
R7C1 is the only square in row 7 that can be <8>
R7C7 is the only square in row 7 that can be <3>
R9C3 is the only square in row 9 that can be <3>
R5C1 is the only square in row 5 that can be <3>
R6C8 is the only square in row 6 that can be <3>
R8C6 is the only square in row 8 that can be <3>
R9C2 is the only square in row 9 that can be <5>
R6C3 is the only square in row 6 that can be <5>
R3C3 can only be <6>
R3C1 can only be <5>
R6C6 is the only square in row 6 that can be <8>
R4C3 is the only square in row 4 that can be <8>
R8C5 is the only square in row 8 that can be <5>
R4C2 is the only square in column 2 that can be <1>
R3C5 is the only square in column 5 that can be <2>
R3C6 is the only square in column 6 that can be <1>
Squares R5C3 and R5C5 in row 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <49>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R5C7 - removing <49> from <1469> leaving <16>
R5C9 - removing <49> from <1469> leaving <16>
Squares R4C6 and R5C5 in block 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <49>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R4C4 - removing <49> from <2469> leaving <26>
R6C4 - removing <49> from <2469> leaving <26>
Squares R5C7 and R5C9 in block 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <16>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R4C7 - removing <6> from <24679> leaving <2479>
R6C7 - removing <6> from <2469> leaving <249>
R6C9 - removing <6> from <469> leaving <49>
Squares R9C7 and R9C9 in block 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <69>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R7C9 - removing <9> from <179> leaving <17>
R8C8 - removing <9> from <179> leaving <17>
Intersection of row 6 with block 6. The value <9> only appears in one or more of squares R6C7, R6C8 and R6C9 of row 6. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain this value.
R4C7 - removing <9> from <2479> leaving <247>
R4C8 - removing <9> from <279> leaving <27>
R3C8 is the only square in column 8 that can be <9>
Intersection of row 7 with block 8. The value <9> only appears in one or more of squares R7C4, R7C5 and R7C6 of row 7. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.
R8C4 - removing <9> from <149> leaving <14>
Squares R7C5 and R8C3 form a remote naked pair. <49> can be removed from any square that is common to their groups.
R8C4 - removing <4> from <14> leaving <1>
R7C2 - removing <4> from <47> leaving <7>
R7C9 can only be <1>
R5C9 can only be <6>
R8C8 can only be <7>
R4C8 can only be <2>
R4C4 can only be <6>
R1C8 can only be <1>
R5C7 can only be <1>
R9C9 can only be <9>
R9C7 can only be <6>
R6C9 can only be <4>
R1C7 can only be <2>
R4C1 can only be <9>
R6C4 can only be <2>
R6C2 can only be <6>
R6C7 can only be <9>
R3C9 can only be <7>
R4C7 can only be <7>
R3C7 can only be <4>
R4C6 can only be <4>
R8C1 can only be <6>
R5C3 can only be <4>
R2C6 can only be <9>
R5C5 can only be <9>
R8C3 can only be <9>
R7C5 can only be <4>
R8C2 can only be <4>
R7C4 can only be <9>
R2C4 can only be <4>
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