Feb 21 - Super Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R7C3 can only be <5>
R1C1 is the only square in row 1 that can be <5>
R3C4 is the only square in row 3 that can be <4>
R4C9 is the only square in row 4 that can be <5>
R5C4 is the only square in row 5 that can be <5>
R6C3 is the only square in row 6 that can be <4>
R6C1 is the only square in row 6 that can be <2>
R7C8 is the only square in row 7 that can be <2>
R7C9 is the only square in row 7 that can be <6>
R8C7 is the only square in row 8 that can be <5>
R8C5 is the only square in row 8 that can be <4>
R8C6 is the only square in row 8 that can be <2>
R1C5 is the only square in row 1 that can be <2>
R2C3 is the only square in row 2 that can be <2>
R4C2 is the only square in column 2 that can be <8>
R5C3 is the only square in column 3 that can be <6>
R3C6 is the only square in column 6 that can be <8>
R6C8 is the only square in column 8 that can be <8>
Squares R9C4 and R9C5 in row 9 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 row.
R9C1 - removing <9> from <1789> leaving <178>
R9C7 - removing <9> from <489> leaving <48>
R9C9 - removing <9> from <4789> leaving <478>
Intersection of row 3 with block 1. The value <3> 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 <3> from <1367> leaving <167>
R2C2 - removing <3> from <137> leaving <17>
Intersection of row 4 with block 4. The value <3> only appears in one or more of squares R4C1, R4C2 and R4C3 of row 4. 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 <3> from <1379> leaving <179>
R5C2 - removing <3> from <1379> leaving <179>
Intersection of row 5 with block 4. The value <1> 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.
R4C1 - removing <1> from <1379> leaving <379>
R4C3 - removing <1> from <137> leaving <37>
R9C3 is the only square in column 3 that can be <1>
Intersection of block 1 with column 2. The values <67> only appears in one or more of squares R1C2, R2C2 and R3C2 of block 1. These squares are the ones that intersect with column 2. Thus, the other (non-intersecting) squares of column 2 cannot contain these values.
R5C2 - removing <7> from <179> leaving <19>
R8C2 - removing <7> from <379> leaving <39>
Squares R4C3 and R8C3 in column 3 and R4C8 and R8C8 in column 8 form a Simple X-Wing pattern on possibility <7>. All other instances of this possibility in rows 4 and 8 can be removed.
R4C1 - removing <7> from <379> leaving <39>
R4C5 - removing <7> from <179> leaving <19>
Squares R9C4, R9C5, R6C4 and R6C5 form a Type-4 Unique Rectangle on <69>.
R6C4 - removing <9> from <1369> leaving <136>
R6C5 - removing <9> from <1679> leaving <167>
Squares R4C1 (XY), R3C1 (XZ) and R5C2 (YZ) form an XY-Wing pattern on <1>. All squares that are buddies of both the XZ and YZ squares cannot be <1>.
R5C1 - removing <1> from <179> leaving <79>
R1C2 - removing <1> from <167> leaving <67>
R2C2 - removing <1> from <17> leaving <7>
R3C2 - removing <1> from <136> leaving <36>
R1C2 can only be <6>
R3C2 can only be <3>
R3C1 can only be <1>
R8C2 can only be <9>
R8C8 can only be <7>
R5C2 can only be <1>
R7C1 can only be <8>
R8C3 can only be <3>
R3C8 can only be <6>
R7C7 can only be <9>
R9C1 can only be <7>
R4C3 can only be <7>
R5C1 can only be <9>
R4C1 can only be <3>
R1C6 is the only square in row 1 that can be <7>
R5C6 can only be <3>
R5C9 can only be <7>
R6C6 can only be <9>
R6C9 can only be <3>
R4C5 can only be <1>
R6C7 can only be <1>
R4C8 can only be <9>
R2C5 can only be <9>
R6C4 can only be <6>
R1C8 can only be <1>
R6C5 can only be <7>
R9C4 can only be <9>
R9C5 can only be <6>
R1C4 can only be <3>
R2C9 can only be <8>
R2C7 can only be <3>
R9C9 can only be <4>
R9C7 can only be <8>
R1C9 can only be <9>
R1C7 can only be <4>
R2C4 can only be <1>
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