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Daily Sudoku Answer 



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Mar 06 - Very Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s040728



Reasoning 



R9C5 is the only square in row 9 that can be <4>

Squares R2C5 and R2C9 in row 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <26>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R2C1 - removing <6> from <146> leaving <14>

R2C8 - removing <26> from <2467> leaving <47>

Squares R1C5 and R2C5 in column 5 form a simple naked pair. These 2 squares both contain the 2 possibilities <26>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R6C5 - removing <6> from <5689> leaving <589>

Squares R1C5 and R2C5 in block 2 form a simple naked pair. These 2 squares both contain the 2 possibilities <26>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R1C6 - removing <6> from <167> leaving <17>

Squares R1C4 and R1C6 in row 1 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 row.

R1C1 - removing <1> from <1346> leaving <346>

R1C3 - removing <17> from <13678> leaving <368>

R1C8 - removing <7> from <24678> leaving <2468>

Intersection of row 4 with block 6. The value <4> only appears in one or more of squares R4C7, R4C8 and R4C9 of row 4. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain this value.

R5C7 - removing <4> from <24689> leaving <2689>

R5C8 - removing <4> from <245689> leaving <25689>

R4C7 is the only square in column 7 that can be <4>

Intersection of row 6 with block 4. The value <3> only appears in one or more of squares R6C1, R6C2 and R6C3 of row 6. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.

R4C3 - removing <3> from <1389> leaving <189>

R5C1 - removing <3> from <13459> leaving <1459>

R5C2 - removing <3> from <123458> leaving <12458>

R5C3 - removing <3> from <1389> leaving <189>

Intersection of column 3 with block 4. The value <1> only appears in one or more of squares R4C3, R5C3 and R6C3 of column 3. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.

R5C1 - removing <1> from <1459> leaving <459>

R5C2 - removing <1> from <12458> leaving <2458>

Intersection of column 7 with block 6. The value <2> only appears in one or more of squares R4C7, R5C7 and R6C7 of column 7. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain this value.

R5C8 - removing <2> from <25689> leaving <5689>

R5C9 - removing <2> from <235689> leaving <35689>

Intersection of block 8 with row 9. The value <7> only appears in one or more of squares R9C4, R9C5 and R9C6 of block 8. These squares are the ones that intersect with row 9. Thus, the other (non-intersecting) squares of row 9 cannot contain this value.

R9C2 - removing <7> from <157> leaving <15>

R9C7 - removing <7> from <6789> leaving <689>

Squares R2C2 and R2C8 in row 2 and R8C2 and R8C8 in row 8 form a Simple X-Wing pattern on possibility <7>. All other instances of this possibility in columns 2 and 8 can be removed.

R3C2 - removing <7> from <78> leaving <8>

R3C8 - removing <7> from <6789> leaving <689>

R7C2 - removing <7> from <37> leaving <3>

R7C8 - removing <7> from <679> leaving <69>

Squares R3C8 and R7C8 in column 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <69>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R1C8 - removing <6> from <2468> leaving <248>

R4C8 - removing <9> from <589> leaving <58>

R5C8 - removing <69> from <5689> leaving <58>

R8C8 - removing <9> from <25789> leaving <2578>

Squares R4C8 and R5C8 in column 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 column.

R1C8 - removing <8> from <248> leaving <24>

R8C8 - removing <58> from <2578> leaving <27>

R1C9 is the only square in row 1 that can be <8>

R8C5 is the only square in row 8 that can be <8>

R9C4 can only be <7>

R9C6 can only be <9>

R1C4 can only be <1>

R6C6 can only be <6>

R1C6 can only be <7>

R5C6 can only be <1>

R4C3 is the only square in row 4 that can be <1>

R9C7 is the only square in row 9 that can be <8>

R6C3 is the only square in row 6 that can be <8>

R5C3 can only be <9>

R6C1 is the only square in row 6 that can be <3>

R1C3 is the only square in row 1 that can be <3>

R8C1 is the only square in column 1 that can be <9>

R4C9 is the only square in column 9 that can be <9>

R4C5 can only be <5>

R6C7 can only be <2>

R6C2 can only be <5>

R5C7 can only be <6>

R4C8 can only be <8>

R6C5 can only be <9>

R4C4 can only be <3>

R5C8 can only be <5>

R5C1 can only be <4>

R5C9 can only be <3>

R5C4 can only be <8>

R8C2 can only be <7>

R9C2 can only be <1>

R8C8 can only be <2>

R7C3 can only be <6>

R8C9 can only be <5>

R1C8 can only be <4>

R9C9 can only be <6>

R2C2 can only be <4>

R9C1 can only be <5>

R2C9 can only be <2>

R7C8 can only be <9>

R1C1 can only be <6>

R2C8 can only be <7>

R2C1 can only be <1>

R5C2 can only be <2>

R3C7 can only be <9>

R2C5 can only be <6>

R3C8 can only be <6>

R7C7 can only be <7>

R3C3 can only be <7>

R1C5 can only be <2>



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