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Daily Sudoku Answer 



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The full reasoning can be found below the Sudoku.

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May 01 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R3C4 can only be <1>

R3C6 can only be <5>

R3C5 can only be <4>

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

R1C9 is the only square in row 1 that can be <4>

R2C7 is the only square in row 2 that can be <1>

R4C3 is the only square in row 4 that can be <1>

R5C6 is the only square in row 5 that can be <1>

R5C7 is the only square in row 5 that can be <4>

R9C9 is the only square in row 9 that can be <6>

R9C6 is the only square in column 6 that can be <9>

R8C2 is the only square in row 8 that can be <9>

R6C7 is the only square in column 7 that can be <3>

R9C8 is the only square in column 8 that can be <3>

Intersection of row 9 with block 7. The value <5> only appears in one or more of squares R9C1, R9C2 and R9C3 of row 9. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.

R7C1 - removing <5> from <2578> leaving <278>

R8C3 - removing <5> from <2578> leaving <278>

Intersection of column 1 with block 4. The values <69> only appears in one or more of squares R4C1, R5C1 and R6C1 of column 1. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain these values.

R5C2 - removing <6> from <5678> leaving <578>

Intersection of block 3 with column 8. The value <2> only appears in one or more of squares R1C8, R2C8 and R3C8 of block 3. These squares are the ones that intersect with column 8. Thus, the other (non-intersecting) squares of column 8 cannot contain this value.

R5C8 - removing <2> from <2578> leaving <578>

R8C8 - removing <2> from <258> leaving <58>

Squares R7C4<238>, R7C6<23> and R9C4<28> in block 8 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <238>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R7C5 - removing <23> from <2357> leaving <57>

R8C5 - removing <2> from <257> leaving <57>

R5C5 is the only square in column 5 that can be <3>

Squares R3C1 and R3C9 in row 3 and R4C1 and R4C9 in row 4 form a Simple X-Wing pattern on possibility <7>. All other instances of this possibility in columns 1 and 9 can be removed.

R5C1 - removing <7> from <256789> leaving <25689>

R5C9 - removing <7> from <25789> leaving <2589>

R7C1 - removing <7> from <278> leaving <28>

R7C5 is the only square in row 7 that can be <7>

R8C5 can only be <5>

R8C8 can only be <8>

R8C7 can only be <2>

R2C8 can only be <2>

R2C5 can only be <6>

R1C8 can only be <7>

R8C3 can only be <7>

R4C7 can only be <8>

R7C9 can only be <5>

R1C2 can only be <6>

R5C8 can only be <5>

R3C9 can only be <8>

R3C1 can only be <7>

R4C9 is the only square in row 4 that can be <7>

R5C2 is the only square in row 5 that can be <7>

R6C1 is the only square in row 6 that can be <6>

R5C4 is the only square in row 5 that can be <6>

R6C3 is the only square in row 6 that can be <5>

R2C3 can only be <8>

R2C2 can only be <5>

R5C3 can only be <2>

R5C9 can only be <9>

R4C1 can only be <9>

R5C1 can only be <8>

R6C9 can only be <2>

R6C5 can only be <9>

R9C2 can only be <8>

R4C5 can only be <2>

R7C1 can only be <2>

R7C6 can only be <3>

R9C1 can only be <5>

R7C4 can only be <8>

R1C6 can only be <2>

R9C4 can only be <2>

R1C4 can only be <3>



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