Daily Sudoku Answer 

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R2C7 can only be <2>

R5C8 can only be <2>

R5C2 is the only square in block 4 that can be <6>

R8C5 is the only square in block 8 that can be <7>

Intersection of row 3 with block 1. The value <2> 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.

R1C1 - removing <2> from <23789> leaving <3789>

R1C3 - removing <2> from <278> leaving <78>

Intersection of row 3 with block 3. The value <6> only appears in one or more of squares R3C7, R3C8 and R3C9 of row 3. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.

R1C7 - removing <6> from <367> leaving <37>

R1C9 - removing <6> from <356789> leaving <35789>

Intersection of row 7 with block 9. The value <5> only appears in one or more of squares R7C7, R7C8 and R7C9 of row 7. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.

R9C9 - removing <5> from <15689> leaving <1689>

Intersection of column 3 with block 7. The values <46> only appears in one or more of squares R7C3, R8C3 and R9C3 of column 3. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain these values.

R7C1 - removing <4> from <14789> leaving <1789>

R9C1 - removing <4> from <12489> leaving <1289>

Intersection of column 7 with block 3. The value <7> only appears in one or more of squares R1C7, R2C7 and R3C7 of column 7. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.

R1C9 - removing <7> from <35789> leaving <3589>

R3C9 - removing <7> from <35678> leaving <3568>

Intersection of column 7 with block 9. The values <14> only appears in one or more of squares R7C7, R8C7 and R9C7 of column 7. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain these values.

R7C9 - removing <1> from <1589> leaving <589>

R9C9 - removing <1> from <1689> leaving <689>

Intersection of block 8 with row 9. The values <589> only appears in one or more of squares R9C4, R9C5 and R9C6 of block 8. 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 <89> from <1289> leaving <12>

R9C3 - removing <8> from <12468> leaving <1246>

R9C9 - removing <89> from <689> leaving <6>

R8C7 can only be <3>

R1C7 can only be <7>

R1C3 can only be <8>

R3C7 can only be <6>

R2C3 can only be <1>

R8C3 can only be <6>

R3C2 can only be <5>

R2C2 can only be <9>

R8C2 can only be <8>

R1C1 can only be <3>

R8C8 can only be <9>

R7C2 can only be <1>

R7C7 can only be <4>

R9C1 can only be <2>

R7C3 can only be <7>

R9C7 can only be <1>

R9C3 can only be <4>

R3C1 can only be <7>

R3C3 can only be <2>

R7C1 can only be <9>

R1C9 is the only square in row 1 that can be <9>

R3C8 is the only square in column 8 that can be <3>

R3C9 can only be <8>

R7C9 can only be <5>

R2C8 can only be <5>

R7C8 can only be <8>

R2C5 can only be <8>

R4C5 can only be <1>

Squares R5C5 and R9C5 in column 5 form a simple naked 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.

R1C5 - removing <5> from <256> leaving <26>

Squares R5C5, R9C5, R5C4 and R9C4 form a Type-3 Unique Rectangle on <59>. Upon close inspection, it is clear that:

(R5C4 or R9C4)<78> and R4C4<78> form a naked pair on <78> in column 4. No other squares in the column can contain these possibilities

R6C4 - removing <8> from <68> leaving <6>

(R5C4 or R9C4)<78>, R6C4<68> and R4C4<78> form a naked triplet on <678> in column 4. No other squares in the column can contain these possibilities

R1C4 - removing <6> from <56> leaving <5>

R1C6 can only be <2>

R1C5 can only be <6>

R6C5 can only be <2>

The puzzle can be reduced to a Bivalue Universal Grave (BUG) pattern, by making this reduction:

R4C6=<34>

These are called the BUG possibilities. In a BUG pattern, in each row, column and block, each unsolved possibility appears exactly twice. Such a pattern either has 0 or 2 solutions, so it cannot be part of a valid Sudoku

When a puzzle contains a BUG, and only one square in the puzzle has more than 2 possibilities, the only way to kill the BUG is to remove both of the BUG possibilities from the square, thus solving it

R4C6 - removing <34> from <348> leaving <8>

R4C1 can only be <4>

R4C4 can only be <7>

R6C6 can only be <3>

R9C6 can only be <5>

R6C9 can only be <1>

R6C1 can only be <8>

R5C9 can only be <7>

R9C5 can only be <9>

R5C6 can only be <4>

R5C1 can only be <1>

R4C9 can only be <3>

R5C4 can only be <9>

R5C5 can only be <5>

R9C4 can only be <8>

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