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Daily Sudoku Answer 



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Apr 10 - Very Hard
Puzzle Copyright © Kevin Stone

Share link – www.brainbashers.com/s217250



Reasoning 



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

R3C7 is the only square in row 3 that can be <8>

R1C2 is the only square in row 1 that can be <8>

Squares R5C3 and R7C3 in column 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <56>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R9C3 - removing <56> from <3567> leaving <37>

Intersection of row 1 with block 3. The value <6> 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 this value.

R2C8 - removing <6> from <5679> leaving <579>

Intersection of column 1 with block 1. The values <39> only appears in one or more of squares R1C1, R2C1 and R3C1 of column 1. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain these values.

R2C2 - removing <3> from <367> leaving <67>

R3C3 - removing <3> from <37> leaving <7>

R9C3 can only be <3>

R2C2 can only be <6>

Intersection of row 6 with block 5. The value <6> 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 <6> from <5678> leaving <578>

R5C5 - removing <6> from <12567> leaving <1257>

Intersection of block 6 with column 8. The value <9> only appears in one or more of squares R4C8, R5C8 and R6C8 of block 6. These squares are the ones that intersect with column 8. Thus, the other (non-intersecting) squares of column 8 cannot contain this value.

R1C8 - removing <9> from <679> leaving <67>

R2C8 - removing <9> from <579> leaving <57>

Squares R4C4<59>, R6C4<569> and R8C4<56> in column 4 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <569>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R2C4 - removing <59> from <5789> leaving <78>

R5C4 - removing <5> from <578> leaving <78>

Intersection of column 4 with block 5. The value <9> only appears in one or more of squares R4C4, R5C4 and R6C4 of column 4. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.

R4C5 - removing <9> from <1359> leaving <135>

R6C5 - removing <9> from <23569> leaving <2356>

Squares R2C4<78>, R2C6<58> and R2C8<57> in row 2 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <578>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R2C9 - removing <57> from <3579> leaving <39>

R8C9 is the only square in column 9 that can be <7>

R9C2 is the only square in row 9 that can be <7>

R5C9 is the only square in column 9 that can be <1>

Squares R2C1, R2C9, R3C1 and R3C9 form a Type-1 Unique Rectangle on <39>.

R3C9 - removing <39> from <359> leaving <5>

R3C5 can only be <9>

R7C9 can only be <9>

R2C8 can only be <7>

R2C9 can only be <3>

R2C4 can only be <8>

R1C8 can only be <6>

R2C1 can only be <9>

R3C1 can only be <3>

R1C5 can only be <7>

R1C7 can only be <9>

R2C6 can only be <5>

R5C4 can only be <7>

R6C6 can only be <2>

R8C6 can only be <1>

R5C5 can only be <5>

R4C6 can only be <4>

R5C6 can only be <8>

R5C3 can only be <6>

R5C7 can only be <4>

R9C5 can only be <6>

R4C4 can only be <9>

R9C7 can only be <5>

R6C5 can only be <3>

R7C5 can only be <2>

R8C4 can only be <5>

R9C8 can only be <1>

R7C7 can only be <6>

R8C8 can only be <4>

R4C8 can only be <5>

R6C4 can only be <6>

R4C2 can only be <3>

R6C8 can only be <9>

R5C1 can only be <2>

R7C3 can only be <5>

R6C2 can only be <5>

R4C5 can only be <1>

R8C2 can only be <2>

R7C1 can only be <4>

R8C1 can only be <6>



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