This puzzle was inspired by the new year.
Standard sudoku rules apply. Also, a number at either end of a row or column means that there's exactly one pair of adjacent numbers in the row or column whose product equals the number. Furthermore, the pair that gives the product to the left of a row is farther left than the pair that gives the product to the right, and similarly for columns. The two pairs may overlap in one digit.
For example, if there's a 15 on the left and a 12 on the right, then either 5, 3, and 4 occur together from left to right, or else 3 and 5 occur together (in either order) and somewhere farther to the right 2 and 6 occur together (in either order). Note that a row like 534178926 would not be valid, since it has 2 adjacent products equal to 12.
The puzzle is available on Penpa.
Solution code: Column 8 and column 9.
on 9. October 2022, 17:58 by Nylimb
For a slightly harder puzzle of this type, see my Adjacent products sudoku #2, https://logic-masters.de/Raetselportal/Raetsel/zeigen.php?id=00037A .
For an even harder one, see Richard's Sudoku Variants Series (387) - Adjacent Products Sudoku, https://logic-masters.de/Raetselportal/Raetsel/zeigen.php?id=000BIJ .
on 22. October 2020, 23:28 by Nylimb
Added penpa link.
on 9. September 2020, 05:04 by Nylimb
Added product tags.
on 20. August 2020, 23:20 by jwmpuz
Cool idea for puzzle. Really liked it despite it being very hard (for me). Thanks.
on 7. June 2020, 23:09 by Nylimb
Added sudoku tag.
on 1. February 2020, 09:36 by Nylimb
I increased the resolution of the picture and made minor edits to the description.
on 26. January 2020, 19:36 by Nylimb
Added example of the "exactly one" rule.