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


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








4












$begingroup$


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
    8 hours ago

















4












$begingroup$


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
    8 hours ago













4












4








4


1



$begingroup$


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 9 hours ago









Rand al'ThorRand al'Thor

76.1k15 gold badges249 silver badges500 bronze badges




76.1k15 gold badges249 silver badges500 bronze badges










  • 1




    $begingroup$
    Would it be a good idea to briefly explain the rules of Futoshiki here?
    $endgroup$
    – Brandon_J
    8 hours ago












  • 1




    $begingroup$
    Would it be a good idea to briefly explain the rules of Futoshiki here?
    $endgroup$
    – Brandon_J
    8 hours ago







1




1




$begingroup$
Would it be a good idea to briefly explain the rules of Futoshiki here?
$endgroup$
– Brandon_J
8 hours ago




$begingroup$
Would it be a good idea to briefly explain the rules of Futoshiki here?
$endgroup$
– Brandon_J
8 hours ago










1 Answer
1






active

oldest

votes


















7














$begingroup$

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
    8 hours ago










  • $begingroup$
    @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
    8 hours ago













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1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









7














$begingroup$

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
    8 hours ago










  • $begingroup$
    @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
    8 hours ago















7














$begingroup$

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
    8 hours ago










  • $begingroup$
    @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
    8 hours ago













7














7










7







$begingroup$

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 6 hours ago

























answered 9 hours ago









StivStiv

7,00026 silver badges57 bronze badges




7,00026 silver badges57 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
    8 hours ago










  • $begingroup$
    @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
    8 hours ago
















  • $begingroup$
    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
    8 hours ago










  • $begingroup$
    @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
    8 hours ago















$begingroup$
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
8 hours ago




$begingroup$
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
8 hours ago












$begingroup$
@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
8 hours ago




$begingroup$
@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
8 hours ago


















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