Its a nice image, though I can't guarantee if its logical. I got stuck early on, but was able to determine the only place the 6 from the top row could go. This got me pretty far, but then I just starting making assumptions or progress.
Hint: Use 2D logic to determine where the 6 in row 1 is. Then I had to guess where the 2s in rows 22 and 23 in the bottom left hand corner were using temporaries. To me, fully logical implies no guessing required at all. When using 2D logic at an edge, this is a logical deduction. Using temporaries to determine that an option is not possible after a number of steps does not constitute proper logic in my book.