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Daily Sudoku Answer 



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Jul 13 - Super Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s249893



Reasoning 



R1C8 is the only square in row 1 that can be <2>

R5C4 is the only square in row 5 that can be <3>

Squares R8C1 and R8C8 in row 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <59>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R8C2 - removing <59> from <3589> leaving <38>

R8C5 - removing <5> from <258> leaving <28>

R8C9 - removing <9> from <239> leaving <23>

Squares R1C2 and R5C2 in column 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <59>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R2C2 - removing <5> from <15> leaving <1>

R9C2 - removing <5> from <1358> leaving <138>

R2C9 can only be <7>

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

R9C3 is the only square in row 9 that can be <1>

R5C1 is the only square in column 1 that can be <7>

R9C8 is the only square in column 8 that can be <7>

Squares R1C7 and R2C8 in block 3 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 block.

R3C7 - removing <45> from <1345> leaving <13>

Intersection of block 6 with row 5. The value <9> only appears in one or more of squares R5C7, R5C8 and R5C9 of block 6. These squares are the ones that intersect with row 5. Thus, the other (non-intersecting) squares of row 5 cannot contain this value.

R5C2 - removing <9> from <59> leaving <5>

R5C5 - removing <9> from <14569> leaving <1456>

R1C2 can only be <9>

R3C4 is the only square in row 3 that can be <9>

R4C4 can only be <8>

R7C7 is the only square in row 7 that can be <8>

Squares R4C3 and R6C3 in column 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <29>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R7C3 - removing <9> from <569> leaving <56>

Squares R1C5 and R1C7 in row 1 and R9C5 and R9C7 in row 9 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in columns 5 and 7 can be removed.

R2C5 - removing <5> from <456> leaving <46>

R6C5 - removing <5> from <2459> leaving <249>

Squares R2C1 and R2C8 in row 2 and R8C1 and R8C8 in row 8 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in columns 1 and 8 can be removed.

R3C1 - removing <5> from <456> leaving <46>

R7C1 - removing <5> from <569> leaving <69>

Squares R4C3, R6C3, R4C5 and R6C5 form a Type-3 Unique Rectangle on <29>. Upon close inspection, it is clear that:

(R4C5 or R6C5)<14>, R5C6<46> and R5C5<146> form a naked triplet on <146> in block 5. No other squares in the block can contain these possibilities

R6C4 - removing <4> from <45> leaving <5>

R6C6 - removing <4> from <2457> leaving <257>

(R4C5 or R6C5)<14>, R6C4<45>, R5C6<46> and R5C5<146> form a naked quad on <1456> in block 5. No other squares in the block can contain these possibilities

R6C6 - removing <5> from <257> leaving <27>

(R4C5 or R6C5)<14>, R5C5<146> and R2C5<46> form a naked triplet on <146> in column 5. No other squares in the column can contain these possibilities

R1C5 - removing <4> from <45> leaving <5>

(R4C5 or R6C5)<14>, R5C5<146>, R2C5<46> and R1C5<45> form a naked quad on <1456> in column 5. No other squares in the column can contain these possibilities

R9C5 - removing <5> from <58> leaving <8>

(R4C5 or R6C5)<14>, R9C5<58>, R5C5<146>, R2C5<46> and R1C5<45> form a naked set on <14568> in column 5. No other squares in the column can contain these possibilities

R8C5 - removing <8> from <28> leaving <2>

R1C7 can only be <4>

R6C7 can only be <7>

R2C8 can only be <5>

R8C8 can only be <9>

R7C4 can only be <4>

R6C6 can only be <2>

R4C7 can only be <1>

R8C9 can only be <3>

R7C6 can only be <5>

R8C1 can only be <5>

R5C8 can only be <4>

R7C9 can only be <2>

R8C2 can only be <8>

R3C9 can only be <1>

R9C7 can only be <5>

R9C2 can only be <3>

R3C7 can only be <3>

R5C9 can only be <9>

R4C5 can only be <9>

R5C6 can only be <6>

R6C3 can only be <9>

R4C6 can only be <7>

R7C3 can only be <6>

R4C3 can only be <2>

R6C5 can only be <4>

R5C5 can only be <1>

R3C6 can only be <4>

R2C5 can only be <6>

R7C1 can only be <9>

R3C3 can only be <5>

R2C1 can only be <4>

R3C1 can only be <6>



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