 Dec 02 - Hard

## Reasoning

R5C5 can only be <5>

R5C6 can only be <4>

R5C4 can only be <7>

R4C6 can only be <9>

R6C4 can only be <6>

R1C9 is the only square in row 1 that can be <7>

R6C9 can only be <3>

R5C7 can only be <2>

R5C3 can only be <3>

R2C1 is the only square in row 2 that can be <7>

R2C6 is the only square in row 2 that can be <8>

R3C9 is the only square in row 3 that can be <9>

R6C7 is the only square in row 6 that can be <7>

R9C8 is the only square in row 9 that can be <4>

R4C8 can only be <5>

R4C7 can only be <4>

R3C8 can only be <3>

R8C8 can only be <8>

R2C9 is the only square in row 2 that can be <4>

R3C4 is the only square in row 3 that can be <4>

R8C5 is the only square in column 5 that can be <9>

Squares R2C7 and R3C7 in column 7 form a simple naked pair. These 2 squares both contain the 2 possibilities <15>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R7C7 - removing <1> from <136> leaving <36>

R8C7 - removing <1> from <136> leaving <36>

Intersection of row 1 with block 2. The value <1> only appears in one or more of squares R1C4, R1C5 and R1C6 of row 1. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.

R3C6 - removing <1> from <156> leaving <56>

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.

R1C2 - removing <2> from <235> leaving <35>

R7C2 is the only square in column 2 that can be <2>

R7C9 can only be <1>

R8C9 can only be <2>

R7C3 is the only square in row 7 that can be <9>

R6C3 can only be <5>

R6C2 can only be <9>

R8C3 can only be <6>

R8C7 can only be <3>

R2C3 can only be <1>

R8C1 can only be <5>

R7C7 can only be <6>

R2C7 can only be <5>

R3C3 can only be <2>

R2C2 can only be <3>

R3C7 can only be <1>

R4C3 can only be <8>

R4C1 can only be <2>

R8C4 can only be <1>

R3C1 can only be <6>

R2C5 can only be <6>

R1C2 can only be <5>

R3C6 can only be <5>

R7C6 can only be <3>

R1C4 can only be <2>

R7C1 can only be <8>

R1C6 can only be <1>

R9C6 can only be <6>

R9C5 can only be <2>

R9C4 can only be <8>

R1C5 can only be <3>

R7C4 can only be <5>

R9C1 can only be <3>

## Today's Sudoku Puzzles

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