Futoshiki

Logic Level 1

What are the digits of row A? (left to right)

Enter as a 4 digit number.


The answer is 4231.

Pigeon Mathlete by Pigeon Mathlete , 15, USA

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3 solutions

Pigeon Mathlete
Nov 22, 2018

3 Helpful 0 Interesting 0 Brilliant 0 Confused

You can find row A, but there are 2 possible solutions to this puzzle as a whole. Isn't the rule that Futoshiki should only have 1 possible solution? Not that we wouldn't be able to answer it but still.

(What I am saying is, some of the digits can be switched. I reached solving where I only had left: B1 (digits 1/3), B2 (digits 1/3), C1 (digits 2/3), C2 (digits 1/3), C3 (digits 1/2), D1 (digits 1/2) and D3 (digits 1/2). You could easily switch B1 and B2 - 3 and 1 respectively, then row C - C1, C2 and C3 could be 2, 3 and 1 respectively, and finally D1 and D3 - 1 and 2 respectively.

Those who reached this point would understand easily what I'm trying to say, my goal is not to explain how I got here but just offer that there could be 2 possible solutions to your puzzle, which does not respect the rule of Futoshiki of only having 1 possible solution. Great doing though, your puzzle does work, maybe just add one more inequality sign or something, that's all)

Desanka Dimitrova - 11 months, 1 week ago
Kenny O.
Nov 23, 2018

Be cause of the arrow, we know that C4 must be 4. This means that B4 is 2 and A4 is 1 as B4>A4. As A3>A2 and 1 and 4 are used in the role, A3 must be 3 and A2 must be 2.
As the question only asks for row A, the answer is 4231

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Helpful, but still need to put a tad bit more heart into it.

Kiehl Y�igo Dela Fuente - 1 year ago

Psst. Excuse me Ken Kai, brilliant for brilliant? I put so much work into my explanation and not a single brilliant nor interesting nor helpful. Please.

Kiehl Y�igo Dela Fuente - 1 year ago

thank yoooooouuuu

Kiehl Y�igo Dela Fuente - 10 months, 3 weeks ago

Let's solve this in order and to do that, we will determine where 3 will be in row A. For starters, we know for sure it isn't in A-4 because of the 3 in D-4 which is against the rules because the same number can't be in the same column or row. We also know it can't be in A-2 because the inequality says that the number in A-3 is greater than 3, and the only thing that is greater than 3 is 4 but that is impossible because of the 4 in A-1. So through the process of elimination, the only place for 3 to be in row A is A-3. That's one step closer to completing row A. Also, the inequality says that A-3, AKA 3 is greater than A-2 which could be 1 or 2 since it is the only numbers missing. We don't know without absolute certainty where 1 and 2 is, but bare with me for a few more minutes. Since the inequality says that B-3 is greater than 3, B-3 is 4 since it is the only number greater than 3. And, since the inequality says that C-4 is greater than D-4, AKA 3, C-4 is you guessed it, 4. That's another step closer to your goal, 4 3 ! And may I remind you that in column 4, the only missing numbers are 1 and 2; and may I remind you again that the inequality says that B-4 is greater that A-4 which is on column 4. And the only numbers we can use on column 4 is 1 and 2. So column 4 from top to bottom is 1243 since 2 is greater than 1! Which means that A-4 is 1. Another step closer, 4_31! So the only number missing in row A, our goal is 2 which has one spot for it, A-2. Congrats! And to know for sure you completed row A correctly, you can double check that the inequality if they are true and you can check that if it has a same number in the same row and/or column. If somehow you double check and it appears to have a false inequality and/or a same number in a same row or column, why not start from the beginning and make sure you do everything right. You completed row A, your goal! Please give this a brilliant and no confused and also please leave a comment down below and I will reply if it is a question because I put a lot of work into this things. Thanks for reading!

0 Helpful 0 Interesting 1 Brilliant 0 Confused

Also, I'll be checking in daily for comments and if this looks so long that you don't want to read it, please bear with it and I vow this is going to be super helpful.

Kiehl Y�igo Dela Fuente - 1 year ago

Thank you for the intricate and "brilliant" solution!

Pigeon Mathlete - 1 year ago

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