The full reasoning can be found below the Sudoku.
Apr 29 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R1C3 is the only square in row 1 that can be <4>
R2C3 is the only square in row 2 that can be <6>
R3C8 is the only square in row 3 that can be <8>
R5C7 is the only square in row 5 that can be <2>
R5C3 is the only square in row 5 that can be <7>
R5C6 is the only square in row 5 that can be <8>
R6C7 is the only square in row 6 that can be <8>
R4C2 is the only square in row 4 that can be <8>
R7C6 is the only square in row 7 that can be <9>
R7C1 is the only square in row 7 that can be <2>
R3C3 is the only square in column 3 that can be <2>
R8C3 is the only square in column 3 that can be <5>
R9C7 is the only square in row 9 that can be <5>
R9C1 is the only square in row 9 that can be <3>
R8C1 is the only square in column 1 that can be <6>
R8C2 is the only square in row 8 that can be <4>
R7C9 is the only square in row 7 that can be <4>
R7C8 is the only square in row 7 that can be <6>
R9C5 is the only square in column 5 that can be <6>
Squares R1C5 and R1C8 in row 1 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.
R1C6 - removing <1> from <125> leaving <25>
R1C9 - removing <1> from <125> leaving <25>
Squares R4C3 and R4C6 in row 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <13>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R4C1 - removing <1> from <149> leaving <49>
R4C4 - removing <1> from <1469> leaving <469>
R4C7 - removing <1> from <179> leaving <79>
R4C9 - removing <1> from <167> leaving <67>
Squares R7C2 and R9C2 in column 2 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 column.
R2C2 - removing <1> from <159> leaving <59>
R3C2 - removing <1> from <159> leaving <59>
R3C1 is the only square in block 1 that can be <1>
Squares R1C8 and R6C8 in column 8 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 column.
R2C8 - removing <19> from <1379> leaving <37>
R8C8 - removing <1> from <137> leaving <37>
Squares R5C4 and R5C5 in block 5 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.
R4C4 - removing <9> from <469> leaving <46>
R4C6 - removing <1> from <13> leaving <3>
R6C4 - removing <19> from <14569> leaving <456>
R6C6 - removing <1> from <135> leaving <35>
R4C3 can only be <1>
R6C6 can only be <5>
R1C6 can only be <2>
R1C9 can only be <5>
R3C9 can only be <7>
R4C9 can only be <6>
R2C8 can only be <3>
R6C3 can only be <3>
R4C4 can only be <4>
R6C9 can only be <1>
R6C8 can only be <9>
R2C9 can only be <2>
R8C8 can only be <7>
R4C1 can only be <9>
R6C4 can only be <6>
R6C1 can only be <4>
R1C8 can only be <1>
R4C7 can only be <7>
R8C6 can only be <1>
R7C7 can only be <1>
R1C5 can only be <9>
R2C7 can only be <9>
R2C2 can only be <5>
R7C2 can only be <7>
R8C7 can only be <3>
R8C4 can only be <2>
R2C6 can only be <7>
R9C4 can only be <7>
R9C2 can only be <1>
R5C5 can only be <1>
R3C4 can only be <5>
R2C4 can only be <1>
R3C2 can only be <9>
R5C4 can only be <9>
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