Jul 10 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R1C9 can only be <7>
R1C5 is the only square in row 1 that can be <6>
R2C3 is the only square in row 2 that can be <6>
R4C2 is the only square in row 4 that can be <2>
R9C8 is the only square in row 9 that can be <6>
R7C7 can only be <1>
R6C7 is the only square in row 6 that can be <6>
R4C7 is the only square in column 7 that can be <7>
Squares R4C5 and R6C5 in column 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <39>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R2C5 - removing <9> from <1279> leaving <127>
R8C5 - removing <9> from <129> leaving <12>
R9C5 - removing <9> from <279> leaving <27>
Squares R4C5 and R6C5 in block 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <39>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R5C4 - removing <9> from <679> leaving <67>
R5C6 - removing <9> from <679> leaving <67>
Squares R7C3 and R9C2 in block 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <79>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R7C2 - removing <79> from <479> leaving <4>
R8C3 - removing <9> from <589> leaving <58>
R1C1 is the only square in row 1 that can be <4>
R8C6 is the only square in row 8 that can be <4>
R8C5 is the only square in row 8 that can be <1>
Squares R1C2 and R2C1 in block 1 form a simple naked pair. These 2 squares both contain the 2 possibilities <15>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R3C2 - removing <15> from <1357> leaving <37>
R3C3 - removing <5> from <357> leaving <37>
Squares R3C2 and R3C3 in row 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <37>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R3C4 - removing <7> from <257> leaving <25>
R3C6 - removing <7> from <17> leaving <1>
R3C7 - removing <3> from <358> leaving <58>
R3C8 - removing <3> from <12358> leaving <1258>
R2C1 is the only square in row 2 that can be <1>
R5C1 can only be <8>
R1C2 can only be <5>
R9C1 can only be <2>
R9C5 can only be <7>
R8C1 can only be <5>
R9C2 can only be <9>
R2C5 can only be <2>
R1C8 can only be <1>
R2C9 can only be <3>
R3C4 can only be <5>
R2C7 can only be <5>
R5C9 can only be <9>
R3C7 can only be <8>
R3C8 can only be <2>
R8C7 can only be <3>
R7C8 can only be <9>
R5C8 can only be <3>
R9C9 can only be <8>
R7C3 can only be <7>
R7C6 can only be <6>
R8C3 can only be <8>
R8C9 can only be <2>
R8C4 can only be <9>
R6C2 can only be <3>
R5C2 can only be <1>
R4C8 can only be <5>
R6C5 can only be <9>
R3C2 can only be <7>
R6C3 can only be <5>
R4C5 can only be <3>
R3C3 can only be <3>
R7C4 can only be <2>
R5C6 can only be <7>
R2C4 can only be <7>
R2C6 can only be <9>
R5C4 can only be <6>
R4C3 can only be <9>
R6C8 can only be <8>
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