TwoWrongsMakeThisPuzzleRight
(Published on 14. February 2026, 03:00 by Will Power)
Solution code: Column 5.
Comments
on 9. March 2026, 18:23 by SZCrow
I gave this puzzle a 5-star, 2 out of which come from the obscure rule description. After making the correct assumption about the ruleset, the puzzle itself is not that hard. The very low solving rate proves my point.
I really think the wording could have been more specified, like:”IF TWO EXAMPLES OF RULES SHARE A SINGLE CELL, THOSE TWO EXAMPLE ARE EITHER BOTH CORRECT OR BOTH WRONG.”
@SZCrow Thank you for playing and commenting. I appreciate feedback. In the case of your suggestion, I unfortunately believe that I would have had much more negative feedback . The problem lies in the fact that a line is an incorrect example of a rule if any of the numbers do not meet its criteria. The CELL where two examples cross may not be the errant cell. This is why I chose to talk about both being correct (which will always be true for THE INTERSECTING CELL in addition to the entire example), and left out text about both being incorrect (which may not be true for that cell). Sorry, but I did my best. Note that there is a character limit for rules that I must stay under also. Peace to you. -Will Power
I appreciate your explanation a lot Will. My thought is that if we take it logically: “one being correct means both being correct” equals “there is no circumstance that two intersecting examples(in a cell) being one correct and one wrong”, and further equals to “one being wrong means both being wrong.” So technically the description I suggested doesn’t change a thing from the originally description, nor given extra information.
Let me explains, in details, what confuses me and potentially many others at the beginning phase of solving the puzzle. I wrongly take the core restriction as “a cell can either follow all rules or none rules” because subject in that sentence is “A CELL”. (I.E. if the gray line that attached to the circle in upper-left palace is correct, it means R4C2 obey the DW rule too,that is, R4C2 is at least 4 apart from R5C1 and R3C3, BUT DON’T NECESSARILY MEAN THE DW LINE INVLOVE THESE THREE CELLS ARE CORRECT. Because nothing have been said about the relationship between R3C3 and R2C4), this is the key wrong assumption that I made at the beginning, and I believe my suggestion can eliminate that.
But a the end of the day, I do respect your work and decision as the puzzle setter very very deeply, so if you think my suggestion is inappropriate in any way, please just remove my comment for me. Otherwise, let’s just leave it here as a little hint and clarification for other solver.
on 15. February 2026, 12:46 by MarthaB
@Will Power: I began working on this puzzle when you posted the link on your Prime Arrows puzzle. It wasn't until I read your reply to VitP that I realized an incorrect assumption that was crippling my solve. After that, home free.
@MarthaB Well done in persevering, and thanks for commenting. Peace. -Will Power
on 15. February 2026, 05:06 by Will Power
Changed rules text from "rules" to "examples of rules" in certain areas to clarify meaning. Thanks to VitP for noting possible confusion. -Will Power
on 14. February 2026, 18:24 by VitP
i think there's a problem with the rules.
first of all, "IF A CELL IS ON A CORRECT RULE IT IS CORRECT FOR THE OTHER RULES ALSO." doesn't mean anything, because there are NO single-cell clues, and another rule states that if a rule is even SLIGHTLY wrong, it is considered to be wrong.
second, i think you have to use the idea that the overlap of the 4 long lines means they are ALL correct or ALL wrong, otherwise there's no way to solve this puzzle.
@VitP Thank you for your comments. The SANDWICH CLUES rule is first, and does not fall into the "each rule below" section. This is strengthened and clarified by the fact that there are only three sandwich clues, where the section below specifically mentions there are 5 examples of each rule that need to have 2 incorrect examples (also called liars in other puzzles from other people). Knowing that the rules after the sandwich rule don't apply to the sandwich rule, I have just re-colored all cells on incorrect rule red and all cells on correct rules green, with no overlap of colors. Your second observation seems logical to me. Please use that observation if it advances your solve. I stand by the rules as they appear in the puzzle. However, there may be some confusion that i cannot anticipate if you are depending upon a translation into a different language that i cannot control. Peace to you. -Will Power
on 14. February 2026, 13:28 by RailMan
I really enjoyed this one. Thanks for sharing it.
@RailMan Thanks so much for playing and giving me your advice. I'm glad you liked it. Peace to you. -Will Power
on 14. February 2026, 07:51 by Will Power
All, This is the first puzzle I had requested testers to review before I released. The only feedback I got was favorable, so I hope you like it. (See comments from RailMan on my puzzle "Prime Arrows", if you completed that one). It's probably 2.5 stars on LMD, but RailMan suggested 3. Peace to all. -Will Power
