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### Comments and Results for 'Futoshiki 98'

 State Type Title Size Played Avg time Rating (#users) Yours Your best Futoshiki 98 7x7 19 23:34 Mild (14) - - Show full chart rankings for Futoshiki 98
 Your puzzle statistics First solution time distribution Overall puzzle statistics Log in (or create a free user)to store and view your puzzle statistics 0:00 37:04 Solution time without 'show wrong' 0:00 26:43 Unaided first solution time 0:00 26:12 Completed by 16 users Best time without any aid 10:42 by haggis99 Best time with show wrongor multiple sessions 9:23 by matt Average solve time with no or minor aid 16:23 Average solve time with no aid 16:23 Average difficulty rating - all players 3.7/10.0 Average difficulty rating - no aid 4.0/10.0 Average difficulty rating - major aid 10.0/10.0 Average difficulty rating - show wrong ormultiple sessions 2.3/10.0
Posted 22nd Feb 2014 at 01:45
macl Daily subscriber Rated puzzle: Easy Best completion time: 1:23:21 Time on first attempt: 10:13:02 Used 'check puzzle' when incorrect
I found an alternative solution?
Posted 23rd Feb 2014 at 01:26
gareth Administrator Daily subscriber Rated puzzle: Hard Completion time: 22:28 Used 'remove'
There's certainly only one solution to this puzzle. Every puzzle on PuzzleMix, without any exceptions, has a single, unique solution.

This particular puzzle involves a few x-wing deductions, and a 'naked set' of 4 (or a 'hidden set' of 3 if you prefer), so is pretty tricky - but it can be solved without guessing which means you can prove to yourself that the given solution is the only one.

And if you can't see what's wrong with your solution, turn on the inequality and repeated number solving aids - that will highlight errors.

Gareth, puzzlemix

Posted 23rd Feb 2014 at 11:31
Last edited by Elisabeth 23rd Feb 2014 at 18:40
Elisabeth Daily subscriber Rated puzzle: Moderate Completion time: 26:12
I eventually found just one solution without having to guess. I spotted the x-wings but what is a 'naked set' of 4 / 'hidden set' of 3, please Gareth?!

On reflection I think it has to be if, say, only 1234 can be in 4 cells then they cannot be in the others, which in a 7x7 would therefore make the others 567....I have spotted this but didn't have a name for the situation! Am I right? I didn't find this an easy one but thought I was just not seeing something obvious:)

Posted 23rd Feb 2014 at 21:42
Last edited by gareth 23rd Feb 2014 at 21:46
gareth Administrator Daily subscriber Rated puzzle: Hard Completion time: 22:28 Used 'remove'
Hi, yes, that's a set. "Naked" means there are no other possible values in those cells; "hidden" means there are a set of x numbers that can only go in x cells but there are other candidates in those cells too, and so are harder to spot.