Mar 23 - Hard

Puzzle Copyright © Kevin Stone

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## Reasoning

R1C5 is the only square in row 1 that can be <2>

R8C9 is the only square in row 8 that can be <2>

R4C7 is the only square in row 4 that can be <2>

R8C8 is the only square in row 8 that can be <9>

R1C8 can only be <3>

R9C8 is the only square in row 9 that can be <6>

R4C8 is the only square in column 8 that can be <8>

R6C6 is the only square in row 6 that can be <8>

R6C2 is the only square in row 6 that can be <2>

R5C6 is the only square in row 5 that can be <2>

R7C5 is the only square in row 7 that can be <8>

R3C4 is the only square in block 2 that can be <7>

R1C2 is the only square in column 2 that can be <7>

Squares R9C2 and R9C3 in row 9 form a simple naked pair. These 2 squares both contain the 2 possibilities <48>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R9C5 - removing <4> from <145> leaving <15>

R9C9 - removing <4> from <145> leaving <15>

R8C5 is the only square in column 5 that can be <4>

Squares R9C2 and R9C3 in block 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <48>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R7C1 - removing <4> from <1347> leaving <137>

Intersection of row 3 with block 1. The value <6> only appears in one or more of squares R3C1, R3C2 and R3C3 of row 3. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.

R2C1 - removing <6> from <34569> leaving <3459>

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.

R5C7 - removing <1> from <1369> leaving <369>

R5C8 - removing <1> from <14> leaving <4>

R7C8 can only be <1>

R4C9 can only be <3>

R9C9 can only be <5>

R9C5 can only be <1>

R7C7 can only be <3>

R4C4 can only be <5>

R7C9 can only be <4>

R7C1 can only be <7>

R8C4 can only be <6>

R5C5 can only be <3>

R5C2 can only be <9>

R5C4 can only be <1>

R7C6 can only be <5>

R4C1 can only be <4>

R8C3 can only be <3>

R2C6 can only be <6>

R8C1 can only be <1>

R6C3 can only be <6>

R8C6 can only be <7>

R2C4 can only be <3>

R4C3 can only be <7>

R5C7 can only be <6>

R5C3 can only be <5>

R6C1 can only be <3>

R3C3 can only be <8>

R3C2 can only be <3>

R3C9 can only be <9>

R9C3 can only be <4>

R2C2 can only be <4>

R3C5 can only be <5>

R6C9 can only be <1>

R1C7 can only be <5>

R6C7 can only be <9>

R2C9 can only be <8>

R9C2 can only be <8>

R1C1 can only be <9>

R2C7 can only be <1>

R3C1 can only be <6>

R2C5 can only be <9>

R2C1 can only be <5>

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