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Daily Sudoku Answer 



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Apr 01 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R3C3 is the only square in row 3 that can be <9>

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

R6C5 is the only square in row 6 that can be <8>

R7C7 is the only square in row 7 that can be <5>

R8C7 is the only square in column 7 that can be <1>

R7C3 is the only square in row 7 that can be <1>

R9C4 is the only square in row 9 that can be <1>

Squares R4C1 and R4C4 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.

R4C5 - removing <2> from <126> leaving <16>

Squares R5C5 and R5C8 in row 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <19>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R5C6 - removing <9> from <39> leaving <3>

R1C4 is the only square in column 4 that can be <3>

Squares R6C1 and R6C4 in row 6 form a simple naked pair. These 2 squares both contain the 2 possibilities <24>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R6C6 - removing <2> from <269> leaving <69>

Squares R2C7 and R3C7 in block 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <46>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R1C8 - removing <6> from <167> leaving <17>

R1C9 - removing <6> from <156> leaving <15>

R2C8 - removing <6> from <3678> leaving <378>

R2C9 - removing <46> from <4568> leaving <58>

R3C8 - removing <6> from <36> leaving <3>

Intersection of column 8 with block 9. The values <26> only appears in one or more of squares R7C8, R8C8 and R9C8 of column 8. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain these values.

R8C9 - removing <6> from <469> leaving <49>

R9C9 - removing <6> from <4689> leaving <489>

Intersection of block 4 with column 1. The value <2> only appears in one or more of squares R4C1, R5C1 and R6C1 of block 4. These squares are the ones that intersect with column 1. Thus, the other (non-intersecting) squares of column 1 cannot contain this value.

R1C1 - removing <2> from <2567> leaving <567>

R2C1 - removing <2> from <234567> leaving <34567>

R8C1 - removing <2> from <23467> leaving <3467>

R9C1 - removing <2> from <246> leaving <46>

Squares R8C3<24>, R8C5<29> and R8C9<49> in row 8 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <249>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R8C1 - removing <4> from <3467> leaving <367>

R8C2 - removing <24> from <23467> leaving <367>

R8C8 - removing <29> from <269> leaving <6>

Squares R2C3<24>, R2C5<26> and R2C7<46> in row 2 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <246>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R2C1 - removing <46> from <34567> leaving <357>

R2C2 - removing <246> from <234567> leaving <357>

Squares R8C1, R8C2, R2C1 and R2C2 form a Type-2 Unique Rectangle on <37>.

R1C1 - removing <5> from <567> leaving <67>

R1C2 - removing <5> from <2567> leaving <267>

R2C9 - removing <5> from <58> leaving <8>

R2C8 can only be <7>

R1C8 can only be <1>

R1C9 can only be <5>

R5C8 can only be <9>

R5C5 can only be <1>

R6C9 can only be <6>

R6C6 can only be <9>

R4C9 can only be <1>

R4C5 can only be <6>

R9C6 can only be <2>

R9C8 can only be <8>

R1C6 can only be <6>

R8C5 can only be <9>

R7C8 can only be <2>

R1C1 can only be <7>

R2C5 can only be <2>

R2C3 can only be <4>

R7C2 can only be <8>

R8C9 can only be <4>

R8C3 can only be <2>

R9C9 can only be <9>

R1C2 can only be <2>

R8C1 can only be <3>

R2C7 can only be <6>

R3C2 can only be <6>

R3C7 can only be <4>

R9C2 can only be <4>

R8C2 can only be <7>

R2C1 can only be <5>

R9C1 can only be <6>

R5C2 can only be <5>

R2C2 can only be <3>

R4C1 can only be <2>

R4C4 can only be <5>

R6C1 can only be <4>

R5C4 can only be <4>

R6C4 can only be <2>



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