May 16 - Hard
Puzzle Copyright © Kevin Stone
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Reasoning
R5C3 is the only square in row 5 that can be <1>
R6C1 is the only square in row 6 that can be <5>
R3C3 is the only square in column 3 that can be <5>
R7C9 is the only square in column 9 that can be <5>
Intersection of row 2 with block 2. The values <45> only appears in one or more of squares R2C4, R2C5 and R2C6 of row 2. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain these values.
R1C4 - removing <4> from <1478> leaving <178>
R1C5 - removing <4> from <12478> leaving <1278>
R3C4 - removing <4> from <134789> leaving <13789>
R3C5 - removing <4> from <1234789> leaving <123789>
R3C6 - removing <4> from <23479> leaving <2379>
Intersection of row 6 with block 5. The value <3> only appears in one or more of squares R6C4, R6C5 and R6C6 of row 6. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.
R4C4 - removing <3> from <379> leaving <79>
R4C5 - removing <3> from <2379> leaving <279>
R5C5 - removing <3> from <23479> leaving <2479>
Intersection of column 6 with block 2. The value <2> only appears in one or more of squares R1C6, R2C6 and R3C6 of column 6. These squares are the ones that intersect with block 2. Thus, the other (non-intersecting) squares of block 2 cannot contain this value.
R1C5 - removing <2> from <1278> leaving <178>
R2C5 - removing <2> from <2458> leaving <458>
R3C5 - removing <2> from <123789> leaving <13789>
Squares R2C9<26>, R3C9<126> and R9C9<16> in column 9 form a comprehensive naked triplet. These 3 squares can only contain the 3 possibilities <126>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
R4C9 - removing <26> from <2367> leaving <37>
R5C9 - removing <26> from <2367> leaving <37>
Intersection of column 9 with block 3. The value <2> only appears in one or more of squares R1C9, R2C9 and R3C9 of column 9. 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 <2> from <1248> leaving <148>
R3C7 - removing <2> from <12468> leaving <1468>
R3C8 - removing <2> from <2468> leaving <468>
R1C1 is the only square in row 1 that can be <2>
R8C1 can only be <6>
R8C8 is the only square in row 8 that can be <2>
R4C5 is the only square in row 4 that can be <2>
R5C7 is the only square in row 5 that can be <2>
R7C2 is the only square in row 7 that can be <2>
R4C3 is the only square in column 3 that can be <6>
R4C8 can only be <9>
R4C4 can only be <7>
R6C7 can only be <4>
R5C8 can only be <6>
R4C9 can only be <3>
R5C9 can only be <7>
R7C8 can only be <8>
R5C1 can only be <3>
R5C2 can only be <9>
R3C8 can only be <4>
R3C1 can only be <7>
R7C1 can only be <4>
R5C5 can only be <4>
R6C2 can only be <7>
R7C3 can only be <3>
R9C3 can only be <8>
R1C3 can only be <4>
R1C5 is the only square in row 1 that can be <7>
R7C6 is the only square in row 7 that can be <7>
R9C6 is the only square in row 9 that can be <4>
R2C4 is the only square in row 2 that can be <4>
R9C5 is the only square in row 9 that can be <3>
R6C5 can only be <9>
R6C6 can only be <3>
R3C4 is the only square in row 3 that can be <3>
R3C6 is the only square in row 3 that can be <9>
R8C6 can only be <5>
R8C5 can only be <8>
R2C6 can only be <2>
R2C9 can only be <6>
R2C2 can only be <8>
R9C9 can only be <1>
R8C4 can only be <9>
R2C5 can only be <5>
R3C5 can only be <1>
R9C7 can only be <6>
R3C9 can only be <2>
R3C2 can only be <6>
R3C7 can only be <8>
R7C5 can only be <6>
R1C4 can only be <8>
R1C7 can only be <1>
R7C7 can only be <9>
R7C4 can only be <1>
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