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Daily Sudoku Answer 



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May 04 - Super Hard
Puzzle Copyright © Kevin Stone

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Reasoning 



R2C4 is the only square in row 2 that can be <7>

R5C3 is the only square in row 5 that can be <4>

R6C6 is the only square in row 6 that can be <2>

R5C7 is the only square in row 5 that can be <2>

R5C8 is the only square in row 5 that can be <7>

R6C3 is the only square in row 6 that can be <7>

R8C7 is the only square in row 8 that can be <7>

R2C2 is the only square in column 2 that can be <2>

R2C7 is the only square in row 2 that can be <6>

R1C2 is the only square in row 1 that can be <6>

R3C4 is the only square in row 3 that can be <2>

R7C7 is the only square in column 7 that can be <4>

R9C8 is the only square in column 8 that can be <5>

R3C9 is the only square in column 9 that can be <3>

Squares R7C1 and R7C2 in row 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <19>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R7C4 - removing <1> from <158> leaving <58>

R7C6 - removing <19> from <1589> leaving <58>

Squares R7C1 and R7C2 in block 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <19>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R8C3 - removing <1> from <123> leaving <23>

R9C3 - removing <19> from <1239> leaving <23>

Squares R8C3 and R9C3 in column 3 form a simple naked pair. These 2 squares both contain the 2 possibilities <23>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R1C3 - removing <3> from <1389> leaving <189>

R2C3 - removing <3> from <389> leaving <89>

R1C1 is the only square in block 1 that can be <3>

Squares R7C4 and R7C6 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 <8> from <1368> leaving <136>

R9C6 - removing <8> from <13689> leaving <1369>

Squares R4C4, R5C4 and R9C4 in column 4 form a simple naked triplet. These 3 squares all contain the 3 possibilities <136>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R1C4 - removing <1> from <1458> leaving <458>

R8C4 - removing <136> from <1346> leaving <4>

R1C6 is the only square in row 1 that can be <4>

R1C4 is the only square in row 1 that can be <5>

R7C4 can only be <8>

R7C6 can only be <5>

Intersection of row 5 with block 4. The value <9> only appears in one or more of squares R5C1, R5C2 and R5C3 of row 5. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.

R4C2 - removing <9> from <139> leaving <13>

Squares R7C1, R7C2, R5C1 and R5C2 form a Type-1 Unique Rectangle on <19>.

R5C2 - removing <19> from <1389> leaving <38>

R5C1 is the only square in row 5 that can be <9>

R7C1 can only be <1>

R7C2 can only be <9>

Intersection of row 5 with block 5. The value <1> only appears in one or more of squares R5C4, R5C5 and R5C6 of row 5. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.

R4C4 - removing <1> from <136> leaving <36>

Squares R8C3, R9C3, R8C5 and R9C5 form a Type-3 Unique Rectangle on <23>. Upon close inspection, it is clear that:

(R8C5 or R9C5)<19> and R1C5<19> form a naked pair on <19> in column 5. No other squares in the column can contain these possibilities

R2C5 - removing <9> from <39> leaving <3>

Squares R1C7 (XY), R9C7 (XZ) and R1C5 (YZ) form an XY-Wing pattern on <1>. All squares that are buddies of both the XZ and YZ squares cannot be <1>.

R9C5 - removing <1> from <129> leaving <29>

Squares R4C7 (XY), R6C8 (XZ) and R1C7 (YZ) form an XY-Wing pattern on <8>. All squares that are buddies of both the XZ and YZ squares cannot be <8>.

R3C8 - removing <8> from <89> leaving <9>

R1C7 can only be <8>

R9C7 can only be <1>

R4C7 can only be <9>

R8C8 can only be <6>

R4C8 can only be <1>

R9C9 can only be <8>

R5C9 can only be <6>

R4C2 can only be <3>

R6C8 can only be <8>

R6C2 can only be <1>

R4C4 can only be <6>

R5C2 can only be <8>

R9C4 can only be <3>

R9C3 can only be <2>

R5C4 can only be <1>

R8C6 can only be <1>

R5C6 can only be <3>

R8C5 can only be <2>

R3C6 can only be <8>

R9C5 can only be <9>

R8C3 can only be <3>

R9C6 can only be <6>

R1C5 can only be <1>

R1C3 can only be <9>

R3C3 can only be <1>

R2C6 can only be <9>

R2C3 can only be <8>



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