Numbered Room Product Sandwiches
(Published on 8. July 2023, 03:09 by RockyRoer)
Quick Quiz:
What's the one's digit of each of the following multiplications: (select with mouse to reveal answers)
- 2*5*3*4*2*7*9 = 0
- 3*7 *4 = 4
- 2*3 *8 *2*3 *2*3 *2*3 = 8
- 7^10 * 8^10 *4 = 4
The Rules:
- Normal sudoku rules apply.
- [Numbered Rooms] Digits outside the grid, some of which must be deduced, are numbered rooms clues - and must occur in the xth place in from the direction of the clue where x is the digit in the cell next to the clue.
- [Sandwich Products]
Numbers on the outside of the grid are also the *ones digit* of the product of the digits in the cells sandwiched between the 1 and 9 in that row or column.
- E.g. The row 281369547 would have a clue of 8 on the left because 3*6 = 18 and the 1's digit is 8. Notice that 8 would also be the valid numbered room clue as it's in the 2nd spot in.
The Puzzle:
Solution code: Row 2 from left to right and Column 2 from top to bottom
Solved by tuturitu, AvonD, SXH, bansalsaab, h5663454, bigger, Franjo, Elliott810, zuzanina, Mr_tn, Jesper, Amedoru, killer_rectangle, sanabas, Dandelo, smckinley, dennischen, Howie729, msbjowmx1, yangduoxing, fjam, ClashCode, Crusader175, giladooshlon, marcmees, Flambierter Flamingo, mackerel, Genomico, Vebby, PippoForte, zhangjinyang
Comments
on 10. July 2023, 13:58 by giladooshlon
that was very confusing
on 9. July 2023, 05:28 by RockyRoer
There are nearly 100 puzzles now with Numbered Rooms clues... wondering if we can get a tag for them?
on 8. July 2023, 09:29 by Franjo
What a lovely exercise in arithmetic!
Thank you so much for sharing this wonderful puzzle.
