R2C5 can only be <1>

R5C2 can only be <3>

R5C8 can only be <5>

R6C7 can only be <4>

R5C1 can only be <9>

R7C7 is the only square in row 7 that can be <8>

Squares R4C3 and R4C5 in row 4 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 row.

R4C4 - removing <5> from <256> leaving <26>

R4C6 - removing <5> from <156> leaving <16>

Squares R4C3 and R6C3 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.

R1C3 - removing <7> from <1237> leaving <123>

R3C3 - removing <7> from <137> leaving <13>

R7C3 - removing <5> from <2359> leaving <239>

R9C3 - removing <5> from <1359> leaving <139>

Squares R6C6 and R7C6 in column 6 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 column.

R3C6 - removing <5> from <568> leaving <68>

Intersection of block 2 with row 3. The value <6> only appears in one or more of squares R3C4, R3C5 and R3C6 of block 2. These squares are the ones that intersect with row 3. Thus, the other (non-intersecting) squares of row 3 cannot contain this value.

R3C1 - removing <6> from <3678> leaving <378>

R3C7 - removing <6> from <136> leaving <13>

R3C9 - removing <6> from <1567> leaving <157>

Squares R3C3 and R3C7 in row 3 form a simple locked 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.

R3C1 - removing <3> from <378> leaving <78>

R3C9 - removing <1> from <157> leaving <57>

Intersection of block 9 with row 9. The values <37> only appears in one or more of squares R9C7, R9C8 and R9C9 of block 9. These squares are the ones that intersect with row 9. Thus, the other (non-intersecting) squares of row 9 cannot contain these values.

R9C1 - removing <3> from <356> leaving <56>

R9C3 - removing <3> from <139> leaving <19>

R9C5 - removing <3> from <3459> leaving <459>

Squares R1C2<16>, R1C3<123>, R2C1<26> and R3C3<13> in block 1 form a comprehensive locked quad. These 4 squares can only contain the 4 possibilities <1236>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R1C1 - removing <236> from <23678> leaving <78>

Intersection of column 1 with block 7. The values <35> only appears in one or more of squares R7C1, R8C1 and R9C1 of column 1. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain these values.

R7C3 - removing <3> from <239> leaving <29>

Squares R2C1 and R2C9 in row 2 and R8C1 and R8C9 in row 8 form a Simple X-Wing pattern on possibility <6>. All other instances of this possibility in columns 1 and 9 can be removed.

R1C9 - removing <6> from <12567> leaving <1257>

R9C1 - removing <6> from <56> leaving <5>

R9C9 - removing <6> from <4679> leaving <479>

Squares R4C3, R4C5, R6C3 and R6C5 form a Type-1 Unique Rectangle on <57>.

R6C5 - removing <57> from <3579> leaving <39>

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

R4C3 can only be <5>

R4C5 can only be <7>

R1C5 is the only square in column 5 that can be <5>

R3C4 can only be <6>

R3C6 can only be <8>

R4C4 can only be <2>

R3C1 can only be <7>

R5C6 can only be <1>

R4C7 can only be <1>

R5C4 can only be <4>

R4C6 can only be <6>

R3C7 can only be <3>

R5C9 can only be <2>

R5C5 can only be <8>

R2C9 can only be <6>

R2C1 can only be <2>

R8C9 can only be <9>

R3C9 can only be <5>

R1C1 can only be <8>

R3C3 can only be <1>

R1C7 can only be <2>

R9C7 can only be <6>

R1C8 can only be <7>

R8C5 can only be <3>

R7C9 can only be <4>

R9C2 can only be <1>

R1C9 can only be <1>

R9C8 can only be <3>

R1C2 can only be <6>

R1C3 can only be <3>

R7C1 can only be <3>

R9C3 can only be <9>

R7C4 can only be <5>

R8C1 can only be <6>

R7C6 can only be <9>

R6C4 can only be <3>

R7C3 can only be <2>

R6C6 can only be <5>

R9C5 can only be <4>

R9C9 can only be <7>

R6C5 can only be <9>