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What's the next step in this Unequal (Futoshiki) puzzle?


Can you solve this nurikabe puzzle?This puzzle design was a DISASTER!Can you solve this kakuro puzzle?Find the ? in this gridPartiti : solve this new type of puzzleHeyawake - help continue puzzleDistance PuzzleGerrymandering Puzzle - Rig the ElectionDo you know what's next?






.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty
margin-bottom:0;

.everyonelovesstackoverflowposition:absolute;height:1px;width:1px;opacity:0;top:0;left:0;pointer-events:none;








6















$begingroup$


I'm currently stuck on this puzzle from Simon Tatham's website (he calls it "Unequal", although the standard name according to Wikipedia is Futoshiki). My progress so far is:



partially solved grid



I've even tried a few "what if" conditions (assuming another cell is filled in a particular way, and seeing what can be deduced from there), but I haven't managed to deduce enough to fill in any more cells for sure. What am I missing?










share|improve this question









$endgroup$










  • 1




    $begingroup$
    Would it be a good idea to briefly explain the rules of Futoshiki here?
    $endgroup$
    – Brandon_J
    Sep 20 at 16:51






  • 1




    $begingroup$
    @Brandon_J I included links to two sources which explain the rules, and anyway the question is unlikely to be solved by anyone not already familiar with the rules.
    $endgroup$
    – Rand al'Thor
    Sep 22 at 8:39










  • $begingroup$
    Yeah, that's a good point.
    $endgroup$
    – Brandon_J
    Sep 22 at 14:28

















6















$begingroup$


I'm currently stuck on this puzzle from Simon Tatham's website (he calls it "Unequal", although the standard name according to Wikipedia is Futoshiki). My progress so far is:



partially solved grid



I've even tried a few "what if" conditions (assuming another cell is filled in a particular way, and seeing what can be deduced from there), but I haven't managed to deduce enough to fill in any more cells for sure. What am I missing?










share|improve this question









$endgroup$










  • 1




    $begingroup$
    Would it be a good idea to briefly explain the rules of Futoshiki here?
    $endgroup$
    – Brandon_J
    Sep 20 at 16:51






  • 1




    $begingroup$
    @Brandon_J I included links to two sources which explain the rules, and anyway the question is unlikely to be solved by anyone not already familiar with the rules.
    $endgroup$
    – Rand al'Thor
    Sep 22 at 8:39










  • $begingroup$
    Yeah, that's a good point.
    $endgroup$
    – Brandon_J
    Sep 22 at 14:28













6













6









6


0



$begingroup$


I'm currently stuck on this puzzle from Simon Tatham's website (he calls it "Unequal", although the standard name according to Wikipedia is Futoshiki). My progress so far is:



partially solved grid



I've even tried a few "what if" conditions (assuming another cell is filled in a particular way, and seeing what can be deduced from there), but I haven't managed to deduce enough to fill in any more cells for sure. What am I missing?










share|improve this question









$endgroup$




I'm currently stuck on this puzzle from Simon Tatham's website (he calls it "Unequal", although the standard name according to Wikipedia is Futoshiki). My progress so far is:



partially solved grid



I've even tried a few "what if" conditions (assuming another cell is filled in a particular way, and seeing what can be deduced from there), but I haven't managed to deduce enough to fill in any more cells for sure. What am I missing?







logical-deduction grid-deduction






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked Sep 20 at 15:43









Rand al'ThorRand al'Thor

89.9k18 gold badges253 silver badges513 bronze badges




89.9k18 gold badges253 silver badges513 bronze badges










  • 1




    $begingroup$
    Would it be a good idea to briefly explain the rules of Futoshiki here?
    $endgroup$
    – Brandon_J
    Sep 20 at 16:51






  • 1




    $begingroup$
    @Brandon_J I included links to two sources which explain the rules, and anyway the question is unlikely to be solved by anyone not already familiar with the rules.
    $endgroup$
    – Rand al'Thor
    Sep 22 at 8:39










  • $begingroup$
    Yeah, that's a good point.
    $endgroup$
    – Brandon_J
    Sep 22 at 14:28












  • 1




    $begingroup$
    Would it be a good idea to briefly explain the rules of Futoshiki here?
    $endgroup$
    – Brandon_J
    Sep 20 at 16:51






  • 1




    $begingroup$
    @Brandon_J I included links to two sources which explain the rules, and anyway the question is unlikely to be solved by anyone not already familiar with the rules.
    $endgroup$
    – Rand al'Thor
    Sep 22 at 8:39










  • $begingroup$
    Yeah, that's a good point.
    $endgroup$
    – Brandon_J
    Sep 22 at 14:28







1




1




$begingroup$
Would it be a good idea to briefly explain the rules of Futoshiki here?
$endgroup$
– Brandon_J
Sep 20 at 16:51




$begingroup$
Would it be a good idea to briefly explain the rules of Futoshiki here?
$endgroup$
– Brandon_J
Sep 20 at 16:51




1




1




$begingroup$
@Brandon_J I included links to two sources which explain the rules, and anyway the question is unlikely to be solved by anyone not already familiar with the rules.
$endgroup$
– Rand al'Thor
Sep 22 at 8:39




$begingroup$
@Brandon_J I included links to two sources which explain the rules, and anyway the question is unlikely to be solved by anyone not already familiar with the rules.
$endgroup$
– Rand al'Thor
Sep 22 at 8:39












$begingroup$
Yeah, that's a good point.
$endgroup$
– Brandon_J
Sep 22 at 14:28




$begingroup$
Yeah, that's a good point.
$endgroup$
– Brandon_J
Sep 22 at 14:28










1 Answer
1






active

oldest

votes


















8

















$begingroup$

Look at the second column and try to place the 6.




Row 1/4 - cannot be 6 since row already has a 6.

Row 1/3/5/6 - cannot be 6 since number must be less than another digit.

Therefore, 6 must go in row 2.




This leads to some immediate deductions in the right-most column, and the whole solution follows by the usual rules of the puzzle.



If you still want to solve the puzzle yourself, do not view the next spoiler!




The final grid should look like this:

enter image description here







share|improve this answer












$endgroup$













  • $begingroup$
    Thank you! I checked your first spoiler and then managed to solve the rest. Annoying how simple it seems now ... just something I hadn't checked properly in what I'd thought was a thorough scan. (It would have worked even before placing the top 6, which was the last number I put in before getting stuck.)
    $endgroup$
    – Rand al'Thor
    Sep 20 at 16:15










  • $begingroup$
    @Randal'Thor No worries :) Futoshiki can do that to you! I often think the difficulty in this puzzle type really comes from the vast amount of white space in front of you - with something like a Sudoku you normally have more numbers in other squares to help you make the right logical leaps - when you're relying on the symbols between the number squares it's somehow much harder to process what you're seeing, because you're really not seeing very much!
    $endgroup$
    – Stiv
    Sep 20 at 16:19












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1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









8

















$begingroup$

Look at the second column and try to place the 6.




Row 1/4 - cannot be 6 since row already has a 6.

Row 1/3/5/6 - cannot be 6 since number must be less than another digit.

Therefore, 6 must go in row 2.




This leads to some immediate deductions in the right-most column, and the whole solution follows by the usual rules of the puzzle.



If you still want to solve the puzzle yourself, do not view the next spoiler!




The final grid should look like this:

enter image description here







share|improve this answer












$endgroup$













  • $begingroup$
    Thank you! I checked your first spoiler and then managed to solve the rest. Annoying how simple it seems now ... just something I hadn't checked properly in what I'd thought was a thorough scan. (It would have worked even before placing the top 6, which was the last number I put in before getting stuck.)
    $endgroup$
    – Rand al'Thor
    Sep 20 at 16:15










  • $begingroup$
    @Randal'Thor No worries :) Futoshiki can do that to you! I often think the difficulty in this puzzle type really comes from the vast amount of white space in front of you - with something like a Sudoku you normally have more numbers in other squares to help you make the right logical leaps - when you're relying on the symbols between the number squares it's somehow much harder to process what you're seeing, because you're really not seeing very much!
    $endgroup$
    – Stiv
    Sep 20 at 16:19















8

















$begingroup$

Look at the second column and try to place the 6.




Row 1/4 - cannot be 6 since row already has a 6.

Row 1/3/5/6 - cannot be 6 since number must be less than another digit.

Therefore, 6 must go in row 2.




This leads to some immediate deductions in the right-most column, and the whole solution follows by the usual rules of the puzzle.



If you still want to solve the puzzle yourself, do not view the next spoiler!




The final grid should look like this:

enter image description here







share|improve this answer












$endgroup$













  • $begingroup$
    Thank you! I checked your first spoiler and then managed to solve the rest. Annoying how simple it seems now ... just something I hadn't checked properly in what I'd thought was a thorough scan. (It would have worked even before placing the top 6, which was the last number I put in before getting stuck.)
    $endgroup$
    – Rand al'Thor
    Sep 20 at 16:15










  • $begingroup$
    @Randal'Thor No worries :) Futoshiki can do that to you! I often think the difficulty in this puzzle type really comes from the vast amount of white space in front of you - with something like a Sudoku you normally have more numbers in other squares to help you make the right logical leaps - when you're relying on the symbols between the number squares it's somehow much harder to process what you're seeing, because you're really not seeing very much!
    $endgroup$
    – Stiv
    Sep 20 at 16:19













8















8











8







$begingroup$

Look at the second column and try to place the 6.




Row 1/4 - cannot be 6 since row already has a 6.

Row 1/3/5/6 - cannot be 6 since number must be less than another digit.

Therefore, 6 must go in row 2.




This leads to some immediate deductions in the right-most column, and the whole solution follows by the usual rules of the puzzle.



If you still want to solve the puzzle yourself, do not view the next spoiler!




The final grid should look like this:

enter image description here







share|improve this answer












$endgroup$



Look at the second column and try to place the 6.




Row 1/4 - cannot be 6 since row already has a 6.

Row 1/3/5/6 - cannot be 6 since number must be less than another digit.

Therefore, 6 must go in row 2.




This leads to some immediate deductions in the right-most column, and the whole solution follows by the usual rules of the puzzle.



If you still want to solve the puzzle yourself, do not view the next spoiler!




The final grid should look like this:

enter image description here








share|improve this answer















share|improve this answer




share|improve this answer








edited Sep 20 at 18:24

























answered Sep 20 at 15:53









StivStiv

14.4k2 gold badges48 silver badges100 bronze badges




14.4k2 gold badges48 silver badges100 bronze badges














  • $begingroup$
    Thank you! I checked your first spoiler and then managed to solve the rest. Annoying how simple it seems now ... just something I hadn't checked properly in what I'd thought was a thorough scan. (It would have worked even before placing the top 6, which was the last number I put in before getting stuck.)
    $endgroup$
    – Rand al'Thor
    Sep 20 at 16:15










  • $begingroup$
    @Randal'Thor No worries :) Futoshiki can do that to you! I often think the difficulty in this puzzle type really comes from the vast amount of white space in front of you - with something like a Sudoku you normally have more numbers in other squares to help you make the right logical leaps - when you're relying on the symbols between the number squares it's somehow much harder to process what you're seeing, because you're really not seeing very much!
    $endgroup$
    – Stiv
    Sep 20 at 16:19
















  • $begingroup$
    Thank you! I checked your first spoiler and then managed to solve the rest. Annoying how simple it seems now ... just something I hadn't checked properly in what I'd thought was a thorough scan. (It would have worked even before placing the top 6, which was the last number I put in before getting stuck.)
    $endgroup$
    – Rand al'Thor
    Sep 20 at 16:15










  • $begingroup$
    @Randal'Thor No worries :) Futoshiki can do that to you! I often think the difficulty in this puzzle type really comes from the vast amount of white space in front of you - with something like a Sudoku you normally have more numbers in other squares to help you make the right logical leaps - when you're relying on the symbols between the number squares it's somehow much harder to process what you're seeing, because you're really not seeing very much!
    $endgroup$
    – Stiv
    Sep 20 at 16:19















$begingroup$
Thank you! I checked your first spoiler and then managed to solve the rest. Annoying how simple it seems now ... just something I hadn't checked properly in what I'd thought was a thorough scan. (It would have worked even before placing the top 6, which was the last number I put in before getting stuck.)
$endgroup$
– Rand al'Thor
Sep 20 at 16:15




$begingroup$
Thank you! I checked your first spoiler and then managed to solve the rest. Annoying how simple it seems now ... just something I hadn't checked properly in what I'd thought was a thorough scan. (It would have worked even before placing the top 6, which was the last number I put in before getting stuck.)
$endgroup$
– Rand al'Thor
Sep 20 at 16:15












$begingroup$
@Randal'Thor No worries :) Futoshiki can do that to you! I often think the difficulty in this puzzle type really comes from the vast amount of white space in front of you - with something like a Sudoku you normally have more numbers in other squares to help you make the right logical leaps - when you're relying on the symbols between the number squares it's somehow much harder to process what you're seeing, because you're really not seeing very much!
$endgroup$
– Stiv
Sep 20 at 16:19




$begingroup$
@Randal'Thor No worries :) Futoshiki can do that to you! I often think the difficulty in this puzzle type really comes from the vast amount of white space in front of you - with something like a Sudoku you normally have more numbers in other squares to help you make the right logical leaps - when you're relying on the symbols between the number squares it's somehow much harder to process what you're seeing, because you're really not seeing very much!
$endgroup$
– Stiv
Sep 20 at 16:19


















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