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Daily Sudoku Answer 



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May 23 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R1C7 can only be <7>

R1C6 is the only square in row 1 that can be <5>

R1C9 is the only square in row 1 that can be <8>

R2C1 is the only square in row 2 that can be <2>

R2C3 is the only square in row 2 that can be <7>

R9C3 can only be <6>

R5C3 can only be <9>

R8C3 can only be <1>

R8C9 is the only square in row 8 that can be <6>

R9C4 is the only square in row 9 that can be <8>

R2C5 is the only square in row 2 that can be <8>

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

R8C1 is the only square in column 1 that can be <5>

R3C1 is the only square in column 1 that can be <9>

R5C1 is the only square in column 1 that can be <3>

R4C5 is the only square in row 4 that can be <3>

R4C2 is the only square in column 2 that can be <6>

R4C6 is the only square in row 4 that can be <7>

R4C8 is the only square in column 8 that can be <5>

R7C9 is the only square in column 9 that can be <7>

R8C5 is the only square in column 5 that can be <7>

Squares R6C1 and R6C2 in row 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <47>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R6C4 - removing <4> from <149> leaving <19>

R6C5 - removing <4> from <24> leaving <2>

R6C8 - removing <4> from <1249> leaving <129>

R5C7 is the only square in row 5 that can be <2>

R8C6 is the only square in column 6 that can be <2>

Squares R5C6 and R5C9 in row 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <14>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R5C4 - removing <14> from <1456> leaving <56>

R5C5 - removing <4> from <456> leaving <56>

Squares R7C4 and R7C5 in row 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <45>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R7C2 - removing <4> from <249> leaving <29>

R7C8 - removing <4> from <249> leaving <29>

Intersection of block 6 with column 9. The value <4> only appears in one or more of squares R4C9, R5C9 and R6C9 of block 6. These squares are the ones that intersect with column 9. Thus, the other (non-intersecting) squares of column 9 cannot contain this value.

R2C9 - removing <4> from <149> leaving <19>

Squares R1C2, R1C8, R3C2 and R3C8 form a Type-1 Unique Rectangle on <13>.

R3C8 - removing <13> from <1346> leaving <46>

R3C2 is the only square in row 3 that can be <3>

R1C2 can only be <1>

R1C8 can only be <3>

R3C6 is the only square in row 3 that can be <1>

R5C6 can only be <4>

R5C9 can only be <1>

R4C4 can only be <9>

R2C9 can only be <9>

R6C8 can only be <9>

R6C4 can only be <1>

R7C8 can only be <2>

R4C9 can only be <4>

R7C2 can only be <9>

R9C8 can only be <4>

R9C1 can only be <7>

R3C8 can only be <6>

R8C7 can only be <9>

R2C7 can only be <4>

R3C5 can only be <4>

R2C8 can only be <1>

R8C2 can only be <4>

R6C2 can only be <7>

R9C2 can only be <2>

R6C1 can only be <4>

R2C4 can only be <6>

R7C5 can only be <5>

R7C4 can only be <4>

R5C5 can only be <6>

R5C4 can only be <5>



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