Copyright © Kevin Stone

R1C5 can only be <6>

R3C7 can only be <3>

R2C5 can only be <7>

R3C5 can only be <1>

R3C8 can only be <6>

R1C8 can only be <9>

R2C9 can only be <4>

R2C1 can only be <6>

R1C9 can only be <8>

R8C7 is the only square in row 8 that can be <4>

R9C6 is the only square in row 9 that can be <4>

R4C2 is the only square in row 4 that can be <4>

R1C1 is the only square in row 1 that can be <4>

R1C2 is the only square in row 1 that can be <2>

R6C5 is the only square in row 6 that can be <4>

R9C2 is the only square in column 2 that can be <6>

R9C7 is the only square in column 7 that can be <8>

Squares R8C2 and R8C9 in row 8 form a simple locked pair. These 2 squares both contain the 2 possibilities <59>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R8C1 - removing <5> from <1258> leaving <128>

R8C3 - removing <59> from <2589> leaving <28>

Intersection of row 8 with block 7. The value <8> only appears in one or more of squares R8C1, R8C2 and R8C3 of row 8. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.

R7C1 - removing <8> from <12358> leaving <1235>

Intersection of column 2 with block 7. The value <9> only appears in one or more of squares R7C2, R8C2 and R9C2 of column 2. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.

R9C3 - removing <9> from <579> leaving <57>

R9C9 is the only square in row 9 that can be <9>

R8C9 can only be <5>

R8C2 can only be <9>

Squares R3C3 and R9C3 in column 3 form a simple locked pair. These 2 squares both contain the 2 possibilities <57>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R5C3 - removing <5> from <25689> leaving <2689>

R6C3 - removing <5> from <2569> leaving <269>

Squares R7C2 and R9C3 in block 7 form a simple locked pair. These 2 squares both contain the 2 possibilities <57>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R7C1 - removing <5> from <1235> leaving <123>

R9C1 - removing <5> from <135> leaving <13>

Intersection of column 7 with block 6. The values <259> only appears in one or more of squares R4C7, R5C7 and R6C7 of column 7. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain these values.

R4C8 - removing <2> from <23> leaving <3>

R4C6 can only be <9>

R4C7 can only be <2>

R5C5 can only be <8>

R7C5 can only be <9>

R4C4 can only be <6>

R4C3 can only be <8>

R8C3 can only be <2>

R8C8 can only be <1>

R8C1 can only be <8>

R9C8 can only be <7>

R9C3 can only be <5>

R7C8 can only be <2>

R7C9 can only be <3>

R7C1 can only be <1>

R9C4 can only be <1>

R3C3 can only be <7>

R7C2 can only be <7>

R9C1 can only be <3>

R5C4 can only be <2>

R7C6 can only be <5>

R3C2 can only be <5>

R5C1 can only be <5>

R6C4 can only be <3>

R6C6 can only be <7>

R1C4 can only be <5>

R6C9 can only be <6>

R5C6 can only be <1>

R6C3 can only be <9>

R5C9 can only be <7>

R7C4 can only be <8>

R1C6 can only be <3>

R5C7 can only be <9>

R6C1 can only be <2>

R5C3 can only be <6>

R6C7 can only be <5>