Anthony’s full solution was as follows with the two given numbers in green.
4 | 8 | 3 | 7 | 2 | 6 | 1 | 5 | 9 |
7 | 2 | 6 | 1 | 5 | 9 | 4 | 8 | 3 |
1 | 5 | 9 | 4 | 8 | 3 | 7 | 2 | 6 |
8 | 3 | 7 | 2 | 6 | 1 | 5 | 9 | 4 |
2 | 6 | 1 | 5 | 9 | 4 | 8 | 3 | 7 |
5 | 9 | 4 | 8 | 3 | 7 | 2 | 6 | 1 |
3 | 7 | 2 | 6 | 1 | 5 | 9 | 4 | 8 |
6 | 1 | 5 | 9 | 4 | 8 | 3 | 7 | 2 |
9 | 4 | 8 | 3 | 7 | 2 | 6 | 1 | 5 |
His solution has recurring trios in the rows of every band and columns of every stack. For example, he entered 4 8 3 in rows 1-3 and 6 9 3 in columns 4-6. The order of digits within some trios aren't all the same. For example, there are 1 4 7 and 7 1 4 and 4 7 1.
I believed I might solve it faster using the copy and paste method I described in my May 27 post, with maybe a little tweaking after filling the grid.
The first digits I entered were as follows. I did the trio 2 6 1 first, then 4 8 5 and 7 3 9.
4 | 8 | 5 | 2 | 6 | 1 | |||
2 | 6 | 1 | ||||||
7 | 3 | 9 | 2 | 6 | 1 | |||
Then I filled the rest of the grid as follows, which shows many recurring identical trios.
8 | 5 | 4 | 6 | 1 | 2 | 3 | 9 | 7 |
6 | 1 | 2 | 3 | 9 | 7 | 8 | 5 | 4 |
3 | 9 | 7 | 8 | 5 | 4 | 6 | 1 | 2 |
4 | 8 | 5 | 2 | 6 | 1 | 7 | 3 | 9 |
2 | 6 | 1 | 7 | 3 | 9 | 4 | 8 | 5 |
7 | 3 | 9 | 4 | 8 | 5 | 2 | 6 | 1 |
5 | 4 | 8 | 1 | 2 | 6 | 9 | 7 | 3 |
1 | 2 | 6 | 9 | 7 | 3 | 5 | 4 | 8 |
9 | 7 | 3 | 5 | 4 | 8 | 1 | 2 | 6 |
I finished this full grid in only 3 minutes, 36 seconds. It satisfies the king's move and knight's move rules. However, it violates the other extra rule. Pairs of successive digits appear next to one another, e.g. 1 2 and 4 5. I tried tweaking to get rid of them, but gave up after 20 minutes.
Mr. Anthony's solution might be unique. Swapping rows 1&2 or rows 8&9 violate the knight's move rule. Hats off to him.
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