Sep 24 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R4C8 can only be <8>
R7C2 can only be <9>
R2C1 is the only square in row 2 that can be <6>
R2C3 is the only square in row 2 that can be <9>
R5C4 is the only square in row 5 that can be <9>
R5C6 is the only square in row 5 that can be <3>
R6C6 is the only square in column 6 that can be <1>
Intersection of row 2 with block 2. The values <78> only appears in one or more of squares R2C4, R2C5 and R2C6 of row 2. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain these values.
R1C5 - removing <7> from <123457> leaving <12345>
R3C4 - removing <8> from <2358> leaving <235>
Intersection of row 4 with block 6. The value <1> only appears in one or more of squares R4C7, R4C8 and R4C9 of row 4. 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 <1246> leaving <246>
R5C9 - removing <1> from <1267> leaving <267>
Intersection of row 6 with block 4. The values <48> only appears in one or more of squares R6C1, R6C2 and R6C3 of row 6. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain these values.
R5C1 - removing <4> from <1245> leaving <125>
R5C2 - removing <4> from <46> leaving <6>
R5C3 - removing <4> from <1245> leaving <125>
R6C5 is the only square in row 6 that can be <6>
R8C4 is the only square in column 4 that can be <6>
R2C4 is the only square in column 4 that can be <8>
Squares R4C4 and R4C5 in row 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <25>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R4C7 - removing <2> from <126> leaving <16>
R4C9 - removing <2> from <126> leaving <16>
R5C7 is the only square in column 7 that can be <2>
R5C9 can only be <7>
R5C8 can only be <4>
R6C3 is the only square in column 3 that can be <2>
Intersection of column 4 with block 2. The value <3> only appears in one or more of squares R1C4, R2C4 and R3C4 of column 4. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.
R1C5 - removing <3> from <12345> leaving <1245>
R2C5 - removing <3> from <357> leaving <57>
R3C5 - removing <3> from <12345> leaving <1245>
R2C7 is the only square in row 2 that can be <3>
R1C9 can only be <2>
R3C9 can only be <9>
R3C8 can only be <5>
R8C9 can only be <8>
R7C8 can only be <7>
R7C1 can only be <2>
R9C8 can only be <9>
R7C6 is the only square in row 7 that can be <8>
R8C5 is the only square in row 8 that can be <9>
R9C6 is the only square in column 6 that can be <2>
Squares R2C5 and R2C6 in block 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <57>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R1C4 - removing <5> from <35> leaving <3>
R1C5 - removing <5> from <145> leaving <14>
R1C2 can only be <4>
R3C4 can only be <2>
R4C4 can only be <5>
R4C5 can only be <2>
R1C5 can only be <1>
R6C2 can only be <8>
R3C3 can only be <1>
R3C5 can only be <4>
R3C1 can only be <8>
R5C3 can only be <5>
R5C1 can only be <1>
R1C3 can only be <7>
R6C1 can only be <4>
R3C2 can only be <3>
R1C1 can only be <5>
R8C3 can only be <4>
R9C1 can only be <7>
R8C7 can only be <5>
R8C6 can only be <7>
R7C7 can only be <1>
R9C5 can only be <3>
R9C9 can only be <6>
R7C5 can only be <5>
R9C7 can only be <4>
R4C9 can only be <1>
R4C7 can only be <6>
R7C9 can only be <3>
R2C5 can only be <7>
R2C6 can only be <5>
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