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Daily Sudoku Answer 



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Aug 03 - Very Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R7C3 can only be <4>

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

R5C6 is the only square in row 5 that can be <9>

R8C1 is the only square in row 8 that can be <7>

R2C9 is the only square in row 2 that can be <7>

R3C3 is the only square in row 3 that can be <7>

R5C7 is the only square in column 7 that can be <7>

Squares R2C8 and R3C7 in block 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <16>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R1C7 - removing <16> from <1468> leaving <48>

R1C8 - removing <16> from <13689> leaving <389>

R1C9 - removing <16> from <134689> leaving <3489>

R3C9 - removing <16> from <169> leaving <9>

Intersection of row 2 with block 1. The value <4> only appears in one or more of squares R2C1, R2C2 and R2C3 of row 2. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.

R1C1 - removing <4> from <12459> leaving <1259>

R1C2 - removing <4> from <2469> leaving <269>

Intersection of row 5 with block 4. The value <2> only appears in one or more of squares R5C1, R5C2 and R5C3 of row 5. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.

R4C1 - removing <2> from <128> leaving <18>

Intersection of block 6 with column 9. The value <6> 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.

R7C9 - removing <6> from <368> leaving <38>

R9C9 - removing <6> from <12346> leaving <1234>

Squares R3C5 and R3C7 in row 3 and R7C5 and R7C7 in row 7 form a Simple X-Wing pattern on possibility <6>. All other instances of this possibility in columns 5 and 7 can be removed.

R2C5 - removing <6> from <156> leaving <15>

R4C5 - removing <6> from <1256> leaving <125>

R6C5 - removing <6> from <146> leaving <14>

R9C7 - removing <6> from <146> leaving <14>

Squares R5C4 and R6C5 in block 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 block.

R4C4 - removing <1> from <156> leaving <56>

R4C5 - removing <1> from <125> leaving <25>

R6C4 - removing <14> from <1467> leaving <67>

Squares R1C3 and R5C3 in column 3 and R1C4 and R5C4 in column 4 form a Simple X-Wing pattern on possibility <1>. All other instances of this possibility in rows 1 and 5 can be removed.

R1C1 - removing <1> from <1259> leaving <259>

R5C8 - removing <1> from <18> leaving <8>

R1C8 can only be <3>

R8C8 can only be <9>

R8C5 can only be <4>

R6C5 can only be <1>

R6C9 can only be <6>

R2C5 can only be <5>

R5C4 can only be <4>

R6C4 can only be <7>

R4C9 can only be <1>

R4C5 can only be <2>

R3C5 can only be <6>

R4C1 can only be <8>

R5C2 can only be <2>

R6C6 can only be <8>

R9C4 can only be <6>

R6C1 can only be <4>

R4C6 can only be <6>

R9C6 can only be <7>

R9C8 can only be <1>

R1C4 can only be <1>

R4C4 can only be <5>

R7C5 can only be <9>

R9C7 can only be <4>

R2C8 can only be <6>

R2C2 can only be <4>

R3C7 can only be <1>

R1C6 can only be <2>

R3C1 can only be <2>

R5C3 can only be <1>

R8C2 can only be <8>

R9C2 can only be <9>

R2C1 can only be <1>

R7C1 can only be <3>

R8C9 can only be <2>

R1C2 can only be <6>

R9C9 can only be <3>

R1C7 can only be <8>

R7C9 can only be <8>

R1C3 can only be <5>

R1C9 can only be <4>

R7C7 can only be <6>

R9C1 can only be <5>

R9C3 can only be <2>

R1C1 can only be <9>



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