[X]

Privacy Policy + T&C

We use cookies to personalise our content and ads, and for traffic analysis. Information about your use of our site is shared with our advertising and analytics providers. You also agree to our T&C.

[X]

Common Answers

Have you entered August's Common Answers?

BB Logo
Spacer
Line
Line
Sudoku Solution Path

? ?

R1C7 can only be <5>
R4C6 is the only square in row 4 that can be <8>
R1C3 is the only square in column 3 that can be <8>
Squares R4C1 and R5C3 in block 4 form a simple locked pair. These 2 squares both contain the 2 possibilities <14>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R5C2 - removing <4> from <469> leaving <69>
   R6C1 - removing <14> from <1469> leaving <69>
Squares R1C8<46>, R1C9<469> and R3C9<49> in block 3 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <469>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R2C8 - removing <4> from <148> leaving <18>
   R2C9 - removing <49> from <1489> leaving <18>
Squares R4C1 and R4C9 in row 4 and R7C1 and R7C9 in row 7 form a Simple X-Wing pattern on possibility <1>. All other instances of this possibility in columns 1 and 9 can be removed.
   R2C9 - removing <1> from <18> leaving <8>
   R6C9 - removing <1> from <14> leaving <4>
   R9C1 - removing <1> from <124567> leaving <24567>
   R9C9 - removing <1> from <12356> leaving <2356>
R2C8 can only be <1>
R3C9 can only be <9>
R5C8 can only be <2>
R1C9 can only be <6>
R9C8 can only be <6>
R1C8 can only be <4>
R8C8 can only be <8>
R6C6 is the only square in row 6 that can be <1>
R5C6 is the only square in column 6 that can be <4>
R5C3 can only be <1>
R5C7 can only be <3>
R9C3 can only be <4>
R4C1 can only be <4>
R9C7 can only be <1>
R4C9 can only be <1>
R3C1 can only be <7>
R3C5 can only be <4>
R2C2 is the only square in row 2 that can be <4>
R7C1 is the only square in row 7 that can be <1>
R9C9 is the only square in row 9 that can be <3>
Squares R7C5, R7C9, R8C5 and R8C9 form a Type-1 Unique Rectangle on <25>.
   R8C5 - removing <25> from <257> leaving <7>
R9C6 can only be <9>
R1C6 can only be <7>
R6C4 is the only square in row 6 that can be <7>
R9C2 is the only square in row 9 that can be <7>
Squares R2C1 and R2C5 in row 2 and R6C1 and R6C5 in row 6 form a Simple X-Wing pattern on possibility <9>. All other instances of this possibility in columns 1 and 5 can be removed.
   R1C1 - removing <9> from <239> leaving <23>
   R5C5 - removing <9> from <569> leaving <56>
The puzzle can be reduced to a Bivalue Universal Grave (BUG) pattern, by making this reduction:
   R8C1=<56>
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
   R8C1 - removing <56> from <256> leaving <2>
R8C2 can only be <6>
R8C9 can only be <5>
R1C1 can only be <3>
R9C1 can only be <5>
R5C2 can only be <9>
R7C9 can only be <2>
R9C4 can only be <2>
R4C4 can only be <3>
R7C5 can only be <5>
R1C4 can only be <9>
R2C1 can only be <9>
R1C2 can only be <2>
R5C4 can only be <5>
R2C5 can only be <3>
R6C1 can only be <6>
R4C5 can only be <2>
R5C5 can only be <6>
R6C5 can only be <9>


 

This website uses cookies, for more information please view our privacy policy. By using the site you also agree to our terms and conditions. By using the site you also agree to our terms and conditions.

Line
Line