Nov 26 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R1C5 is the only square in row 1 that can be <5>
R8C3 is the only square in column 3 that can be <8>
R7C4 is the only square in column 4 that can be <2>
R5C5 is the only square in column 5 that can be <3>
R5C1 is the only square in row 5 that can be <9>
R4C6 is the only square in row 4 that can be <9>
R3C5 is the only square in row 3 that can be <9>
R7C6 is the only square in block 8 that can be <5>
Squares R8C5 and R8C6 in row 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <16>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R8C9 - removing <1> from <134> leaving <34>
Squares R8C5 and R8C6 in block 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <16>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R7C5 - removing <1> from <178> leaving <78>
R9C5 - removing <1> from <178> leaving <78>
Squares R7C5 and R9C5 in column 5 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.
R2C5 - removing <8> from <168> leaving <16>
Intersection of row 1 with block 1. The value <7> only appears in one or more of squares R1C1, R1C2 and R1C3 of row 1. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.
R3C1 - removing <7> from <13467> leaving <1346>
R3C3 - removing <7> from <1347> leaving <134>
Intersection of row 5 with block 4. The value <7> only appears in one or more of squares R5C1, R5C2 and R5C3 of row 5. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.
R6C1 - removing <7> from <3567> leaving <356>
R6C3 - removing <7> from <237> leaving <23>
Intersection of column 1 with block 7. The value <7> only appears in one or more of squares R7C1, R8C1 and R9C1 of column 1. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.
R7C2 - removing <7> from <347> leaving <34>
R9C2 - removing <7> from <57> leaving <5>
R5C9 is the only square in row 5 that can be <5>
R6C9 is the only square in column 9 that can be <2>
R6C3 can only be <3>
R5C8 can only be <4>
R5C7 can only be <6>
R1C8 can only be <1>
R4C3 can only be <4>
R1C3 can only be <7>
R3C3 can only be <1>
R5C2 can only be <7>
R6C7 can only be <8>
R5C3 can only be <2>
R2C5 is the only square in row 2 that can be <1>
R8C5 can only be <6>
R8C6 can only be <1>
R1C2 is the only square in column 2 that can be <6>
R1C9 can only be <4>
R2C1 can only be <3>
R8C9 can only be <3>
R2C7 can only be <2>
R3C1 can only be <4>
R2C8 can only be <8>
R9C7 can only be <1>
R2C4 can only be <6>
R3C8 can only be <3>
R9C8 can only be <2>
R3C9 can only be <6>
R3C6 can only be <7>
R8C2 can only be <4>
R4C9 can only be <1>
R9C1 can only be <7>
R4C7 can only be <3>
R7C7 can only be <4>
R7C9 can only be <8>
R4C4 can only be <5>
R3C4 can only be <8>
R6C6 can only be <6>
R4C1 can only be <6>
R6C4 can only be <7>
R6C1 can only be <5>
R7C2 can only be <3>
R7C5 can only be <7>
R9C5 can only be <8>
R7C1 can only be <1>
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