Jul 25 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R1C7 can only be <9>
R3C1 is the only square in row 3 that can be <1>
R3C2 is the only square in row 3 that can be <4>
R5C5 is the only square in row 5 that can be <1>
R6C4 is the only square in row 6 that can be <5>
R7C8 is the only square in row 7 that can be <5>
R7C9 is the only square in row 7 that can be <4>
R6C8 is the only square in row 6 that can be <4>
R5C7 can only be <3>
R9C7 can only be <6>
R8C7 can only be <1>
R2C7 can only be <4>
R2C9 is the only square in row 2 that can be <1>
R5C6 is the only square in row 5 that can be <4>
R9C1 is the only square in row 9 that can be <4>
R9C4 is the only square in column 4 that can be <8>
R9C2 is the only square in row 9 that can be <2>
R1C6 is the only square in column 6 that can be <5>
Squares R5C9 and R6C9 in column 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <29>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R1C9 - removing <2> from <278> leaving <78>
R8C9 - removing <9> from <3789> leaving <378>
R9C9 - removing <9> from <379> leaving <37>
R1C8 is the only square in row 1 that can be <2>
R9C8 is the only square in row 9 that can be <9>
Squares R3C4 and R3C6 in block 2 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.
R2C4 - removing <79> from <2379> leaving <23>
R2C5 - removing <79> from <2379> leaving <23>
Squares R2C4 and R2C5 in row 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <23>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R2C2 - removing <3> from <379> leaving <79>
R2C3 - removing <3> from <35789> leaving <5789>
Squares R2C2 and R4C2 in column 2 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 column.
R1C2 - removing <7> from <367> leaving <36>
R8C2 - removing <7> from <367> leaving <36>
Squares R7C4 and R7C6 in block 8 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 block.
R8C5 - removing <37> from <2379> leaving <29>
R8C6 - removing <37> from <2379> leaving <29>
R4C5 is the only square in column 5 that can be <7>
R4C1 can only be <2>
R4C2 can only be <9>
R4C6 can only be <3>
R2C2 can only be <7>
R7C6 can only be <7>
R7C4 can only be <3>
R3C6 can only be <9>
R2C8 can only be <8>
R2C1 can only be <5>
R8C8 can only be <7>
R1C9 can only be <7>
R3C4 can only be <7>
R8C6 can only be <2>
R2C4 can only be <2>
R8C5 can only be <9>
R9C9 can only be <3>
R9C3 can only be <7>
R8C9 can only be <8>
R2C3 can only be <9>
R8C1 can only be <6>
R2C5 can only be <3>
R5C4 can only be <9>
R5C9 can only be <2>
R6C5 can only be <2>
R6C9 can only be <9>
R8C2 can only be <3>
R1C1 can only be <8>
R8C3 can only be <5>
R1C2 can only be <6>
R5C3 can only be <8>
R1C3 can only be <3>
R5C1 can only be <7>
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