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Daily Sudoku Answer 



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Oct 14 - Super Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R3C2 can only be <5>

R7C4 is the only square in row 7 that can be <8>

R7C2 is the only square in row 7 that can be <2>

R7C3 is the only square in row 7 that can be <3>

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

R8C9 is the only square in row 8 that can be <7>

R1C9 can only be <1>

R7C9 can only be <9>

R7C8 can only be <1>

R8C8 can only be <4>

R9C7 can only be <6>

R5C9 is the only square in row 5 that can be <6>

R6C3 is the only square in row 6 that can be <9>

R3C1 is the only square in row 3 that can be <9>

R5C8 is the only square in row 5 that can be <9>

R9C1 is the only square in row 9 that can be <4>

R3C3 is the only square in column 3 that can be <6>

Squares R8C1 and R8C3 in row 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <15>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R8C4 - removing <15> from <125> leaving <2>

R8C5 - removing <5> from <2356> leaving <236>

R8C6 - removing <15> from <12356> leaving <236>

Intersection of row 1 with block 2. The values <25> only appears in one or more of squares R1C4, R1C5 and R1C6 of row 1. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain these values.

R3C6 - removing <2> from <278> leaving <78>

Intersection of row 6 with block 5. The value <5> only appears in one or more of squares R6C4, R6C5 and R6C6 of row 6. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.

R5C4 - removing <5> from <157> leaving <17>

R5C6 - removing <5> from <123578> leaving <12378>

Squares R4C4 and R5C4 in column 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <17>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R1C4 - removing <7> from <457> leaving <45>

R2C4 - removing <7> from <479> leaving <49>

R9C4 - removing <1> from <159> leaving <59>

R9C6 is the only square in row 9 that can be <1>

Squares R4C4 and R5C4 in block 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <17>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R5C6 - removing <7> from <2378> leaving <238>

Squares R6C5<358>, R6C6<358> and R6C9<38> in row 6 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <358>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R6C2 - removing <3> from <134> leaving <14>

R6C7 - removing <3> from <134> leaving <14>

R5C2 is the only square in column 2 that can be <3>

Squares R8C1, R8C3, R5C1 and R5C3 form a Type-4 Unique Rectangle on <15>.

R5C1 - removing <1> from <1578> leaving <578>

R5C3 - removing <1> from <157> leaving <57>

Squares R3C6 (XY), R3C7 (XZ) and R5C6 (YZ) form an XY-Wing pattern on <2>. All squares that are buddies of both the XZ and YZ squares cannot be <2>.

R5C7 - removing <2> from <12> leaving <1>

R5C4 can only be <7>

R6C7 can only be <4>

R6C2 can only be <1>

R5C3 can only be <5>

R4C4 can only be <1>

R2C2 can only be <4>

R2C4 can only be <9>

R1C3 can only be <7>

R9C4 can only be <5>

R5C1 can only be <8>

R8C3 can only be <1>

R8C1 can only be <5>

R9C5 can only be <9>

R1C4 can only be <4>

R4C3 can only be <4>

R2C1 can only be <1>

R5C6 can only be <2>

R4C1 can only be <7>

R1C6 can only be <5>

R1C5 can only be <2>

R6C5 is the only square in row 6 that can be <5>

Squares R2C9 and R4C5 form a remote naked pair. <38> can be removed from any square that is common to their groups.

R2C5 - removing <8> from <68> leaving <6>

R8C5 can only be <3>

R8C6 can only be <6>

R4C5 can only be <8>

R4C8 can only be <2>

R6C6 can only be <3>

R4C7 can only be <3>

R3C8 can only be <8>

R6C9 can only be <8>

R2C9 can only be <3>

R2C7 can only be <7>

R3C6 can only be <7>

R2C6 can only be <8>

R3C7 can only be <2>



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