Oct 27 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R4C9 is the only square in row 4 that can be <9>
R8C9 can only be <3>
R4C3 is the only square in row 4 that can be <3>
R5C8 is the only square in row 5 that can be <3>
R6C5 is the only square in row 6 that can be <2>
R7C5 is the only square in row 7 that can be <3>
R3C7 is the only square in row 3 that can be <3>
R1C4 is the only square in row 1 that can be <3>
R7C9 is the only square in row 7 that can be <7>
R9C2 is the only square in row 9 that can be <2>
R1C1 is the only square in row 1 that can be <2>
R1C2 is the only square in row 1 that can be <7>
R2C9 is the only square in row 2 that can be <2>
R3C2 is the only square in column 2 that can be <9>
R7C2 is the only square in column 2 that can be <6>
Squares R4C2 and R5C2 in block 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <14>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R5C1 - removing <14> from <1478> leaving <78>
R6C1 - removing <14> from <1478> leaving <78>
R3C1 is the only square in column 1 that can be <1>
R3C8 can only be <8>
Squares R1C7 and R1C8 in row 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <19>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R1C5 - removing <9> from <5689> leaving <568>
Squares R5C1 and R6C1 in column 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <78>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R2C1 - removing <8> from <458> leaving <45>
Intersection of row 4 with block 5. The value <8> only appears in one or more of squares R4C4, R4C5 and R4C6 of row 4. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.
R5C5 - removing <8> from <1478> leaving <147>
Intersection of row 6 with block 6. The value <1> 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.
R5C9 - removing <1> from <18> leaving <8>
R5C1 can only be <7>
R9C9 can only be <1>
R7C7 can only be <4>
R6C1 can only be <8>
R7C8 can only be <5>
R6C7 can only be <1>
R7C3 can only be <1>
R9C8 can only be <9>
R1C8 can only be <1>
R8C7 can only be <6>
R1C7 can only be <9>
R6C8 can only be <4>
R6C4 can only be <7>
R9C7 can only be <8>
R9C4 can only be <4>
R9C3 can only be <5>
R2C4 can only be <9>
R8C6 can only be <5>
R8C1 can only be <4>
R8C5 can only be <9>
R9C6 can only be <6>
R9C5 can only be <7>
R1C6 can only be <8>
R1C3 can only be <6>
R4C6 can only be <4>
R4C2 can only be <1>
R5C5 can only be <1>
R5C2 can only be <4>
R4C5 can only be <8>
R2C1 can only be <5>
R1C5 can only be <5>
R3C3 can only be <4>
R2C5 can only be <4>
R2C3 can only be <8>
R3C5 can only be <6>
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