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Daily Sudoku Answer 



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Jul 20 - Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



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

R5C7 is the only square in row 5 that can be <7>

Intersection of row 1 with block 2. The value <9> 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 this value.

R2C4 - removing <9> from <24789> leaving <2478>

R2C5 - removing <9> from <459> leaving <45>

Intersection of row 1 with block 3. The values <26> only appears in one or more of squares R1C7, R1C8 and R1C9 of row 1. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain these values.

R2C8 - removing <2> from <235> leaving <35>

R2C9 - removing <2> from <2378> leaving <378>

R3C7 - removing <2> from <258> leaving <58>

R3C8 - removing <2> from <235> leaving <35>

Squares R2C8 and R3C8 in column 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <35>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R1C8 - removing <5> from <256> leaving <26>

R7C8 - removing <35> from <2345> leaving <24>

R8C8 - removing <3> from <2349> leaving <249>

R7C6 is the only square in row 7 that can be <3>

R4C1 is the only square in row 4 that can be <3>

R4C6 is the only square in row 4 that can be <5>

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

R8C9 is the only square in row 8 that can be <3>

R8C5 is the only square in column 5 that can be <6>

R7C2 is the only square in row 7 that can be <6>

R7C7 is the only square in block 9 that can be <5>

R3C7 can only be <8>

R2C9 can only be <7>

R2C4 is the only square in row 2 that can be <8>

R3C4 is the only square in column 4 that can be <2>

R7C4 is the only square in column 4 that can be <7>

R9C9 is the only square in column 9 that can be <8>

Squares R2C1 and R2C5 in row 2 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.

R2C2 - removing <45> from <23459> leaving <239>

R2C3 - removing <45> from <2459> leaving <29>

R2C8 - removing <5> from <35> leaving <3>

R3C8 can only be <5>

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

R9C2 is the only square in column 2 that can be <5>

R6C3 is the only square in column 3 that can be <5>

Squares R7C3 and R8C2 in block 7 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 block.

R8C1 - removing <4> from <1478> leaving <178>

R8C3 - removing <24> from <2478> leaving <78>

R9C1 - removing <4> from <14> leaving <1>

R8C6 is the only square in row 8 that can be <1>

R5C4 is the only square in row 5 that can be <1>

R5C8 is the only square in row 5 that can be <6>

R1C8 can only be <2>

R6C9 can only be <4>

R6C1 can only be <8>

R4C9 can only be <2>

R1C9 can only be <6>

R7C8 can only be <4>

R4C7 can only be <9>

R6C6 can only be <9>

R8C1 can only be <7>

R6C4 can only be <6>

R1C6 can only be <7>

R4C4 can only be <4>

R7C3 can only be <2>

R8C8 can only be <9>

R8C3 can only be <8>

R1C1 can only be <5>

R8C7 can only be <2>

R1C5 can only be <9>

R2C1 can only be <4>

R9C5 can only be <4>

R3C6 can only be <4>

R2C5 can only be <5>

R3C3 can only be <7>

R5C6 can only be <8>

R9C4 can only be <9>

R2C3 can only be <9>

R8C2 can only be <4>

R5C2 can only be <9>

R2C2 can only be <2>

R5C3 can only be <4>



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