Aug 16 - Very Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R1C1 can only be <8>
R1C6 is the only square in row 1 that can be <1>
R1C3 is the only square in row 1 that can be <7>
R3C7 is the only square in row 3 that can be <4>
R7C7 is the only square in row 7 that can be <5>
R1C8 is the only square in row 1 that can be <5>
R8C5 is the only square in column 5 that can be <4>
R2C5 is the only square in block 2 that can be <2>
R2C7 is the only square in block 3 that can be <8>
Squares R1C7 and R1C9 in block 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 block.
R2C8 - removing <3> from <369> leaving <69>
R3C8 - removing <3> from <369> leaving <69>
Squares R3C1 and R3C8 in row 3 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.
R3C3 - removing <69> from <3569> leaving <35>
Squares R2C8 and R3C8 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.
R5C8 - removing <69> from <23679> leaving <237>
R8C8 - removing <9> from <379> leaving <37>
Squares R8C6 and R8C8 in row 8 form a simple naked pair. These 2 squares both contain the 2 possibilities <37>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
R8C2 - removing <7> from <1789> leaving <189>
R8C7 - removing <37> from <379> leaving <9>
R5C9 is the only square in column 9 that can be <9>
R6C9 is the only square in column 9 that can be <4>
Squares R8C2 and R8C3 in block 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <18>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
R7C2 - removing <18> from <1789> leaving <79>
R7C3 - removing <18> from <12689> leaving <269>
R9C2 - removing <8> from <78> leaving <7>
R9C3 - removing <8> from <2468> leaving <246>
R7C2 can only be <9>
R5C7 is the only square in column 7 that can be <7>
R4C7 is the only square in column 7 that can be <6>
R6C7 is the only square in column 7 that can be <1>
R8C8 is the only square in column 8 that can be <7>
R8C6 can only be <3>
R4C6 can only be <2>
R4C1 can only be <9>
R3C1 can only be <6>
R3C8 can only be <9>
R2C8 can only be <6>
R2C3 is the only square in row 2 that can be <9>
Squares R2C4 and R6C4 in column 4 form a simple naked pair. These 2 squares both contain the 2 possibilities <35>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R3C4 - removing <35> from <3578> leaving <78>
R5C4 - removing <35> from <1356> leaving <16>
Squares R4C2 and R4C3 in block 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 block.
R5C2 - removing <13> from <1358> leaving <58>
R5C3 - removing <13> from <123458> leaving <2458>
R6C3 - removing <3> from <235> leaving <25>
Squares R3C3 and R6C4 form a remote naked pair. <35> can be removed from any square that is common to their groups.
R6C3 - removing <5> from <25> leaving <2>
R6C8 can only be <3>
R7C3 can only be <6>
R5C1 can only be <4>
R6C4 can only be <5>
R5C8 can only be <2>
R7C6 can only be <7>
R9C3 can only be <4>
R3C6 can only be <5>
R9C1 can only be <2>
R3C3 can only be <3>
R5C6 can only be <6>
R2C4 can only be <3>
R5C4 can only be <1>
R9C7 can only be <3>
R9C9 can only be <8>
R1C7 can only be <2>
R9C4 can only be <6>
R7C9 can only be <2>
R1C9 can only be <3>
R2C2 can only be <5>
R3C5 can only be <8>
R4C3 can only be <1>
R3C4 can only be <7>
R7C5 can only be <1>
R4C2 can only be <3>
R8C3 can only be <8>
R5C5 can only be <3>
R7C4 can only be <8>
R8C2 can only be <1>
R5C3 can only be <5>
R5C2 can only be <8>
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