Sharing is Caring (Straight-Sum Arrows)
(Published on 17. August 2021, 13:08 by manushand)
This puzzle is for @SKORP17, who said that he was not confused yet. :-)
Thank you to @Zombie Hunter for testing! Check out his "Bumper Pool" puzzle; a work of art!
- Standard Sudoku Rules Apply
- Straight-Sum Arrows
- The digit in an arrow-circle is the sum of the digits in every distinct arrow-path emanating from the circle to reach any arrowhead, including only the square(s) in which the arrow does not bend (this includes the arrow-tips, of course).
IN OTHER WORDS (thank you, @kublai): The digit in a circle is the sum of all possible arrows connected to that circle, where the value of an arrow is the sum of cells along the arrow in which the path does not bend (always including the arrowhead). So a cell may be counted multiple times for the same circle if it is on multiple arrow paths that do not bend in that cell.
FOR EXAMPLE: The circle in R2C8 leads to only one arrowhead (at R1C7), but there are two paths that could be used to reach that arrowhead. One of the paths passes through the R2C7 square without bending; this path will count the digit in R2C7. The second path bends while passing through R2C7, so this second path will not count the digit in R2C7 into the sum. The first path goes through R2C6, but because the path bends while passing through that square, the digit there will not be counted into the circle's sum. The same is true of the digit in R1C6; although both paths go through that square, both turn while doing so, and so the digit in that square will not be counted into the circle's sum by either of the arrow-paths. BOTH paths, however, will count the digit that is in the arrow's tip, R1C7. Consequently,R2C8=(R2C7+R1C7)+(R1C7). - Solve Online
- f-puzzles
Solution code: Column 4
Comments
on 18. August 2021, 14:24 by marcmees
When the concept was new, it was interesting but this puzzle, once the 1's have been found, simply becomes a counting exercise. Anyone with at least 9 fingers on his both hands can manage easily. I hope SKORP fits the description and overwins his confusion :-)
manushand: Thank you for the great feedback, @marcmees. Yes, this puzzle is definitely easier than the first two Straight-Sum Arrow puzzles. This was intentional, hoping to lure more solvers. The next one ("Simple and Straightforward"), which is scheduled to appear next week, is even more trivial, and should be an even easier introduction for those who are new to the concept. Thanks again for your comment, your solve, and your encouragement!
on 17. August 2021, 15:37 by kublai
Another great puzzle!
For a puzzle where 'straight' is so important, I spent a lot of time going around and around and around and ..
