Jun 01 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R2C3 is the only square in row 2 that can be <2>
R4C5 is the only square in row 4 that can be <9>
R4C8 is the only square in row 4 that can be <2>
R5C6 is the only square in row 5 that can be <7>
R6C5 is the only square in row 6 that can be <2>
R6C6 is the only square in row 6 that can be <3>
R8C7 is the only square in row 8 that can be <2>
R9C8 is the only square in row 9 that can be <7>
R1C3 is the only square in row 1 that can be <7>
R3C9 is the only square in row 3 that can be <7>
Squares R2C4 and R2C6 in row 2 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 row.
R2C1 - removing <5> from <4569> leaving <469>
R2C7 - removing <15> from <1569> leaving <69>
Squares R1C8 and R6C8 in column 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <58>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R3C8 - removing <58> from <1458> leaving <14>
R7C8 - removing <8> from <148> leaving <14>
Squares R2C4 and R2C6 in block 2 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.
R1C5 - removing <5> from <358> leaving <38>
R3C5 - removing <15> from <1358> leaving <38>
Squares R1C5 and R3C5 in column 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <38>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R5C5 - removing <8> from <1568> leaving <156>
R7C5 - removing <8> from <1568> leaving <156>
R9C5 - removing <8> from <168> leaving <16>
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.
R5C4 - removing <8> from <14568> leaving <1456>
R6C4 - removing <8> from <568> leaving <56>
R6C8 is the only square in row 6 that can be <8>
R1C8 can only be <5>
R5C9 can only be <3>
R5C7 can only be <5>
R8C3 is the only square in row 8 that can be <3>
R7C7 is the only square in row 7 that can be <3>
R7C5 is the only square in column 5 that can be <5>
R8C1 is the only square in row 8 that can be <5>
R8C9 is the only square in row 8 that can be <9>
R2C9 can only be <4>
R7C9 can only be <8>
R3C8 can only be <1>
R7C8 can only be <4>
R7C3 can only be <6>
R9C7 can only be <1>
R9C5 can only be <6>
R7C1 can only be <9>
R9C2 can only be <4>
R9C3 can only be <8>
R4C2 can only be <5>
R5C3 can only be <4>
R5C5 can only be <1>
R4C6 can only be <8>
R6C2 can only be <6>
R4C4 can only be <4>
R8C6 can only be <1>
R3C3 can only be <5>
R5C4 can only be <6>
R6C4 can only be <5>
R1C2 can only be <3>
R5C1 can only be <8>
R2C4 can only be <1>
R7C2 can only be <1>
R2C1 can only be <6>
R3C1 can only be <4>
R8C4 can only be <8>
R2C6 can only be <5>
R1C5 can only be <8>
R3C2 can only be <9>
R1C7 can only be <6>
R3C5 can only be <3>
R2C7 can only be <9>
R3C7 can only be <8>
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