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Daily Sudoku Answer 



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Jul 30 - Very Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s028470



Reasoning 



R7C8 can only be <2>

R8C6 can only be <3>

R8C9 can only be <6>

R7C7 can only be <8>

R9C8 can only be <7>

R9C7 can only be <9>

R1C8 is the only square in row 1 that can be <6>

R1C7 is the only square in row 1 that can be <5>

R2C1 is the only square in row 2 that can be <6>

R2C5 is the only square in row 2 that can be <7>

R3C5 is the only square in row 3 that can be <9>

R5C2 is the only square in row 5 that can be <9>

R6C6 is the only square in row 6 that can be <9>

R8C3 is the only square in row 8 that can be <9>

R9C5 is the only square in row 9 that can be <6>

Squares R5C8 and R6C8 in block 6 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 block.

R6C7 - removing <3> from <23> leaving <2>

R1C9 is the only square in column 9 that can be <2>

R1C3 is the only square in row 1 that can be <7>

R3C9 is the only square in row 3 that can be <7>

R4C5 is the only square in column 5 that can be <2>

Squares R8C4 and R8C5 in block 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <58>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R9C4 - removing <58> from <1258> leaving <12>

Intersection of row 3 with block 1. The value <8> only appears in one or more of squares R3C1, R3C2 and R3C3 of row 3. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.

R1C2 - removing <8> from <348> leaving <34>

Squares R6C1 and R6C5 in row 6 and R7C1 and R7C5 in row 7 form a Simple X-Wing pattern on possibility <1>. All other instances of this possibility in columns 1 and 5 can be removed.

R1C5 - removing <1> from <1348> leaving <348>

R5C1 - removing <1> from <1345> leaving <345>

R5C5 - removing <1> from <135> leaving <35>

R9C1 - removing <1> from <145> leaving <45>

R5C9 is the only square in row 5 that can be <1>

R4C9 can only be <4>

R5C1 is the only square in row 5 that can be <4>

R9C1 can only be <5>

R4C3 is the only square in column 3 that can be <5>

R8C4 is the only square in column 4 that can be <5>

R8C5 can only be <8>

R1C4 is the only square in row 1 that can be <8>

R1C6 is the only square in row 1 that can be <1>

Squares R5C5, R5C8, R6C5 and R6C8 form a Type-1 Unique Rectangle on <35>.

R6C5 - removing <35> from <135> leaving <1>

R6C1 can only be <3>

R7C5 can only be <4>

R4C4 can only be <3>

R7C3 can only be <3>

R1C5 can only be <3>

R9C6 can only be <2>

R9C4 can only be <1>

R2C6 can only be <4>

R1C2 can only be <4>

R5C5 can only be <5>

R2C4 can only be <2>

R2C7 can only be <3>

R3C7 can only be <4>

R4C2 can only be <1>

R5C8 can only be <3>

R6C8 can only be <5>

R7C1 can only be <1>

R3C3 can only be <8>

R9C2 can only be <8>

R3C2 can only be <3>

R9C3 can only be <4>



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