Thanks to Scojo for inspiration for this puzzle.
The large thermo's bulb is obscured by an arrow circle in the F-puzzles image render - it is in row 9. The bulb is visible when opened in SudokuPad.
Rules:
Normal Sudoku rules apply.
Normal Arrow rules apply (digits on the arrow must sum to the digit in the circle).
Normal Thermo rules apply (digits on a gray thermometer must strictly increase from the bulb to the tip).
Clues outside the grid are the *multiplication product* of the sandwich value and the skyscraper value in the row or column.
- The sandwich value is the sum of the digits between 1 and 9 in the row or column.
- The skyscraper value counts the number of ascending digits in the row or column, starting with the cell closest to the clue. Ascending digits are digits which are larger than all previous digits in the row or column (the first digit is always an ascending digit).
- Each ? in a clue represents a digit. The leading digit in a two-digit or three-digit clue cannot be zero. A single ? may be a zero. Different ? may be the same digit. Different clues may have the same value.
For example, the sequence 253671498 has a skyscraper value of 5, because 2, 5, 6, 7, and 9 are ascending digits. This sequence has a sandwich value of 4. The product of the two values is 20.
Comments are always welcome. I'd love to hear your thoughts about the puzzle. Have fun!
Streamers have permission to use this puzzle. Recommended betting cell for streaming is r1c1.
Solution code: Row 1
on 14. July 2023, 22:21 by Kavman15
Awesome puzzle and love the ruleset!
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Thanks! Love the energy!
on 11. July 2023, 16:33 by heliopolix
Corrected inaccurate clue placement. Moved clue from the top of column 1 to the bottom of it.
on 10. July 2023, 22:35 by Notlob
Really nice puzzle. But the clue for column 1 (?5) seems to be wrong. I get another value for product in the correct ctc solution.
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Thank you very much! This clue got moved when typesetting the published version and was in the wrong location! I appreciate the help.