Jan 25 - Hard

Reasoning

R4C7 can only be <8>

R5C4 can only be <8>

R5C6 can only be <3>

R6C6 can only be <4>

R4C4 can only be <7>

R2C8 is the only square in row 2 that can be <8>

R8C8 can only be <9>

R3C8 can only be <6>

R9C8 can only be <2>

R4C8 can only be <5>

R8C5 is the only square in row 8 that can be <8>

R8C6 is the only square in row 8 that can be <7>

R1C1 is the only square in column 1 that can be <6>

R9C3 is the only square in column 3 that can be <7>

R6C3 is the only square in column 3 that can be <8>

Intersection of row 2 with block 2. The values <69> 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.

R1C4 - removing <9> from <1249> leaving <124>

R1C5 - removing <9> from <4579> leaving <457>

R3C4 - removing <9> from <1249> leaving <124>

R3C5 - removing <9> from <3479> leaving <347>

Squares R5C7<169>, R5C9<169> and R6C7<19> in block 6 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <169>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R6C9 - removing <19> from <1239> leaving <23>

Squares R1C4<124>, R3C4<124> and R3C6<12> in block 2 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <124>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R1C5 - removing <4> from <457> leaving <57>

R3C5 - removing <4> from <347> leaving <37>

Intersection of column 5 with block 8. The value <4> only appears in one or more of squares R7C5, R8C5 and R9C5 of column 5. These squares are the ones that intersect with block 8. Thus, the other (non-intersecting) squares of block 8 cannot contain this value.

R7C4 - removing <4> from <2469> leaving <269>

R8C4 - removing <4> from <14> leaving <1>

R8C2 can only be <4>

R7C2 can only be <5>

R7C1 can only be <8>

R1C2 can only be <2>

R2C2 can only be <3>

R1C4 can only be <4>

R3C4 can only be <2>

R6C2 can only be <1>

R3C6 can only be <1>

R6C7 can only be <9>

R6C1 can only be <3>

R9C1 can only be <1>

R6C9 can only be <2>

R4C1 can only be <4>

R4C9 can only be <3>

R4C3 can only be <2>

R3C1 can only be <9>

R3C3 can only be <4>

R3C9 can only be <7>

R5C1 can only be <5>

R1C3 can only be <5>

R3C5 can only be <3>

R7C9 can only be <6>

R1C7 can only be <1>

R5C3 can only be <9>

R7C4 can only be <9>

R7C6 can only be <2>

R5C9 can only be <1>

R9C9 can only be <8>

R9C7 can only be <4>

R9C5 can only be <5>

R7C7 can only be <7>

R1C5 can only be <7>

R1C9 can only be <9>

R5C7 can only be <6>

R7C5 can only be <4>

R2C4 can only be <6>

R9C6 can only be <6>

R2C5 can only be <9>

R2C6 can only be <5>

Today's Sudoku Puzzles

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