Wednesday, May 27, 2020

Simple Sukodu Maker #3

The following shows another method of making a completed Sudoku puzzle. This method involves no arithmetic, using copy and paste after filling in one 3x3 part of the puzzle with the numbers 1-9.

Start by putting the numbers 1-9 in any order in the top left 3x3 array (or block) of the 9x9 array. In the following B2-B9 are used to designate the other 3x3 arrays for ease of reference. B1 will refer to the top left 3x3 block of numbers.

7 1 2





3 5 6
B2

B3
8 9 4















B4

B5

B6



















B7

B8

B9











Next copy the first row of numbers in B1 to the 2nd row of block B2 and the 3rd row of B3. Then copy the 2nd row to the 3rd row of B2 and the 1st row of B3. The different colors in the following highlight the steps. Similarly but not shown, one could copy the 2nd row of B1 to the 1st row of B2 and the 3rd row of B3. Lastly copy the 3rd row of B1 to the remaining open row of B2 & B3. 

7 1 2 8 9 4 3 5 6
3 5 6 7 1 2 8 9 4
8 9 4 3 5 6 7 1 2










B4

B5

B6



















B7

B8

B9









Next copy the first column of numbers in B1 to the 2nd column of block B4 and the 3rd column of B7. Then copy the 2nd column of B1 to the 3rd column of B4 and the 1st column of B7. The different colors in the following highlight the steps. Similarly but not shown, one could copy the 2nd column of B1 to the 1st column of B4 and the 3rd column of B7. Lastly copy the 3rd column of B1 to the remaining open column of B4 & B7.

7 1 2 8 9 4 3 5 6
3 5 6 7 1 2 8 9 4
8 9 4 3 5 6 7 1 2
2 7 1





6 3 5
B5

B6
4 8 9





1 2 7





5 6 3
B8

B9
9 4 8






Complete the remaining blocks in similar fashion. One could copy (1) rows from B4 to B5 & B6 and rows from B7 to B8 & B9, or (2) columns from B2 to B5 & B8 and columns from B3 to B6 & B9.

One could also start by first putting the numbers 1-9 in any other 3x3 block and fill the remaining blocks following a method similar to the one used above. Whichever block is first filled, fill the other two blocks in the same 3x9 band and the other two blocks in the same 9x3 stack, or vice-versa.

Once the entire 9x9 array is filled, one could used the ranked random number process described in my May 17 post to make numerous more completed Sukodu puzzles. 

No comments:

Post a Comment