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Squares inside a square


Block the snakeNumber wheel Challenge!Check digit number : Find the maximum number of distinct waysRook Game on a Chessboard - Take 2How many consecutive integers can you make using only four digits?What is the minimum number of digits required to make the numbers 1-20?Use 2 0 1 and 8 to make 67Use 1 9 6 2 in this order to make 75Use 0 1 2 3 4 to form 9 3-digit numbers






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








10












$begingroup$


Distribute the digits from 1 to 9 to a 3x3 square, such that you reach as many square numbers as possible.
A valid square number in the 3x3 square is either a single digit square number

or is build with neighbouring number(s) either vertically, horizontally or diagonally.
Example:



9 8 7



6 5 4



1 3 2



In this example the square numbers are 1, 4, 9, 16, 25, 36, 169, 961 - a total of 8 squares.



Bonus:
What is the maximum of squares in a 4x4 square, if using the hexadecimal system with digit 0-9 and A-F?
Note, square numbers here are f.e. 10=4*4 or 2A4=1A*1A.










share|improve this question









$endgroup$













  • $begingroup$
    What are the rules for 'building with neighbouring number(s)'? Would finding a line of 9-1-6 be an acceptable way to build 169 and 961, or do you have to move from one digit to the next in order without rearranging them?
    $endgroup$
    – Stiv
    8 hours ago






  • 1




    $begingroup$
    It is moving without rearranging
    $endgroup$
    – ThomasL
    8 hours ago










  • $begingroup$
    Got it, thanks :)
    $endgroup$
    – Stiv
    8 hours ago










  • $begingroup$
    Should there be a no-computers tag? I mean, do you expect the answer to be found by logic or is bruteforce coding OK?
    $endgroup$
    – Arnaud Mortier
    7 hours ago






  • 1




    $begingroup$
    The solution with 13 squares sounds good - any suggestions for the bonus question? A logical solution for thie bonus question is welcome, but brute force solution is fine as well.
    $endgroup$
    – ThomasL
    6 hours ago


















10












$begingroup$


Distribute the digits from 1 to 9 to a 3x3 square, such that you reach as many square numbers as possible.
A valid square number in the 3x3 square is either a single digit square number

or is build with neighbouring number(s) either vertically, horizontally or diagonally.
Example:



9 8 7



6 5 4



1 3 2



In this example the square numbers are 1, 4, 9, 16, 25, 36, 169, 961 - a total of 8 squares.



Bonus:
What is the maximum of squares in a 4x4 square, if using the hexadecimal system with digit 0-9 and A-F?
Note, square numbers here are f.e. 10=4*4 or 2A4=1A*1A.










share|improve this question









$endgroup$













  • $begingroup$
    What are the rules for 'building with neighbouring number(s)'? Would finding a line of 9-1-6 be an acceptable way to build 169 and 961, or do you have to move from one digit to the next in order without rearranging them?
    $endgroup$
    – Stiv
    8 hours ago






  • 1




    $begingroup$
    It is moving without rearranging
    $endgroup$
    – ThomasL
    8 hours ago










  • $begingroup$
    Got it, thanks :)
    $endgroup$
    – Stiv
    8 hours ago










  • $begingroup$
    Should there be a no-computers tag? I mean, do you expect the answer to be found by logic or is bruteforce coding OK?
    $endgroup$
    – Arnaud Mortier
    7 hours ago






  • 1




    $begingroup$
    The solution with 13 squares sounds good - any suggestions for the bonus question? A logical solution for thie bonus question is welcome, but brute force solution is fine as well.
    $endgroup$
    – ThomasL
    6 hours ago














10












10








10





$begingroup$


Distribute the digits from 1 to 9 to a 3x3 square, such that you reach as many square numbers as possible.
A valid square number in the 3x3 square is either a single digit square number

or is build with neighbouring number(s) either vertically, horizontally or diagonally.
Example:



9 8 7



6 5 4



1 3 2



In this example the square numbers are 1, 4, 9, 16, 25, 36, 169, 961 - a total of 8 squares.



Bonus:
What is the maximum of squares in a 4x4 square, if using the hexadecimal system with digit 0-9 and A-F?
Note, square numbers here are f.e. 10=4*4 or 2A4=1A*1A.










share|improve this question









$endgroup$




Distribute the digits from 1 to 9 to a 3x3 square, such that you reach as many square numbers as possible.
A valid square number in the 3x3 square is either a single digit square number

or is build with neighbouring number(s) either vertically, horizontally or diagonally.
Example:



9 8 7



6 5 4



1 3 2



In this example the square numbers are 1, 4, 9, 16, 25, 36, 169, 961 - a total of 8 squares.



Bonus:
What is the maximum of squares in a 4x4 square, if using the hexadecimal system with digit 0-9 and A-F?
Note, square numbers here are f.e. 10=4*4 or 2A4=1A*1A.







strategy formation-of-numbers






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked 9 hours ago









ThomasLThomasL

5582 silver badges19 bronze badges




5582 silver badges19 bronze badges














  • $begingroup$
    What are the rules for 'building with neighbouring number(s)'? Would finding a line of 9-1-6 be an acceptable way to build 169 and 961, or do you have to move from one digit to the next in order without rearranging them?
    $endgroup$
    – Stiv
    8 hours ago






  • 1




    $begingroup$
    It is moving without rearranging
    $endgroup$
    – ThomasL
    8 hours ago










  • $begingroup$
    Got it, thanks :)
    $endgroup$
    – Stiv
    8 hours ago










  • $begingroup$
    Should there be a no-computers tag? I mean, do you expect the answer to be found by logic or is bruteforce coding OK?
    $endgroup$
    – Arnaud Mortier
    7 hours ago






  • 1




    $begingroup$
    The solution with 13 squares sounds good - any suggestions for the bonus question? A logical solution for thie bonus question is welcome, but brute force solution is fine as well.
    $endgroup$
    – ThomasL
    6 hours ago

















  • $begingroup$
    What are the rules for 'building with neighbouring number(s)'? Would finding a line of 9-1-6 be an acceptable way to build 169 and 961, or do you have to move from one digit to the next in order without rearranging them?
    $endgroup$
    – Stiv
    8 hours ago






  • 1




    $begingroup$
    It is moving without rearranging
    $endgroup$
    – ThomasL
    8 hours ago










  • $begingroup$
    Got it, thanks :)
    $endgroup$
    – Stiv
    8 hours ago










  • $begingroup$
    Should there be a no-computers tag? I mean, do you expect the answer to be found by logic or is bruteforce coding OK?
    $endgroup$
    – Arnaud Mortier
    7 hours ago






  • 1




    $begingroup$
    The solution with 13 squares sounds good - any suggestions for the bonus question? A logical solution for thie bonus question is welcome, but brute force solution is fine as well.
    $endgroup$
    – ThomasL
    6 hours ago
















$begingroup$
What are the rules for 'building with neighbouring number(s)'? Would finding a line of 9-1-6 be an acceptable way to build 169 and 961, or do you have to move from one digit to the next in order without rearranging them?
$endgroup$
– Stiv
8 hours ago




$begingroup$
What are the rules for 'building with neighbouring number(s)'? Would finding a line of 9-1-6 be an acceptable way to build 169 and 961, or do you have to move from one digit to the next in order without rearranging them?
$endgroup$
– Stiv
8 hours ago




1




1




$begingroup$
It is moving without rearranging
$endgroup$
– ThomasL
8 hours ago




$begingroup$
It is moving without rearranging
$endgroup$
– ThomasL
8 hours ago












$begingroup$
Got it, thanks :)
$endgroup$
– Stiv
8 hours ago




$begingroup$
Got it, thanks :)
$endgroup$
– Stiv
8 hours ago












$begingroup$
Should there be a no-computers tag? I mean, do you expect the answer to be found by logic or is bruteforce coding OK?
$endgroup$
– Arnaud Mortier
7 hours ago




$begingroup$
Should there be a no-computers tag? I mean, do you expect the answer to be found by logic or is bruteforce coding OK?
$endgroup$
– Arnaud Mortier
7 hours ago




1




1




$begingroup$
The solution with 13 squares sounds good - any suggestions for the bonus question? A logical solution for thie bonus question is welcome, but brute force solution is fine as well.
$endgroup$
– ThomasL
6 hours ago





$begingroup$
The solution with 13 squares sounds good - any suggestions for the bonus question? A logical solution for thie bonus question is welcome, but brute force solution is fine as well.
$endgroup$
– ThomasL
6 hours ago











3 Answers
3






active

oldest

votes


















4













$begingroup$

Best solution I could come up with was,




13 squares:

1 3 7

6 2 5

9 4 8




which includes the squares,




1, 4, 9, 16, 25, 36, 49, 64, 169, 324, 625, 729, 961




What I tried,




Mostly trying to get as much squares with 2-digit squares (only missed 81) as possible and swapping around to make 3-digit squares and prioritizing the 169-961 double 3-digit square and other 2-3-digit doubles.

I started with 169 on a column and tried making 625 and 529 on rows, and then only 4 digits are remaining and possible to intuitively add focusing on 2-digits, or even brute-force as there are only 24 possibilities.




I just tried coding this too after seeing OP's comment, and if my program was correct,




This is the maximum and only this arrangement and rotations/reflections gives the answer.







share|improve this answer











$endgroup$














  • $begingroup$
    I coded it myself to check, you are correct that this is optimal :)
    $endgroup$
    – im_so_meta_even_this_acronym
    5 hours ago


















3













$begingroup$

The best I've managed so far is




12 squares




With the following




1 8 3

7 6 4

5 2 9


which has

1, 4, 9, 16, 25, 36, 49, 64, 81, 169, 529, 961




General Strategy




It's not too difficult to include all of the 2-digit squares. After that it's sensible to have 169 in there (as you get 961 for free) and then 529 is also easy to get in as we have 25.







share|improve this answer









$endgroup$






















    0













    $begingroup$

    Solution 1 with 2 as center



    9 4 8



    6 2 5



    1 3 7




    13 squares 1,4, 9, 16, 25, 36, 49, 64, 169, 324, 625, 729, 961




    Strategy: I first write down the all 3 digits squares then I look for the 3 digit squares with a most solid center. means a maximum of 3 digits squares with common center number. I found there are 4 these types of squares 324, 625, 529, 729 where the common center is 2. so I made 2 is my center number and write down all the 3 digits squares. then I tried to cover the other 3 digits squares by rearranging them. then finally I look for all 2 digit squares and be able to get them mostly except 81. Also, one more thing 169 and 961 is also a good combo so don't miss it. if you see the 3 digit square list below that we can use, we can clearly see that 2 makes the most solid center so the most solid solution, after it 3 and 8 can give a better result.



    Possible 3 digit squares we can use with solid centers.



    1. 324, 529, 625, 729


    2. 169, 361, 961


    3. 289, 784


    4. 841196256576


    Solution 2 with 2 as center



    5 7 8



    3 2 4



    1 6 9




    same strategy 12 squares 1,4, 9, 16, 25, 36, 49, 64, 169, 324, 529,
    961




    Solution 3 with 8 as center



    2 7 1



    5 8 6



    3 4 9




    Another 12 squares 1,4, 9, 16, 25, 49, 64, 81,169, 196, 289, 784




    Solution 4 as 6 as the center.



    1 5 7



    8 6 2



    3 4 9




    12 squares same strategy 1 ,4, 9, 16, 25, 49, 64, 81,169, 729, 961







    share|improve this answer










    New contributor



    Sayed Mohd Ali is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.





    $endgroup$

















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      3 Answers
      3






      active

      oldest

      votes








      3 Answers
      3






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes









      4













      $begingroup$

      Best solution I could come up with was,




      13 squares:

      1 3 7

      6 2 5

      9 4 8




      which includes the squares,




      1, 4, 9, 16, 25, 36, 49, 64, 169, 324, 625, 729, 961




      What I tried,




      Mostly trying to get as much squares with 2-digit squares (only missed 81) as possible and swapping around to make 3-digit squares and prioritizing the 169-961 double 3-digit square and other 2-3-digit doubles.

      I started with 169 on a column and tried making 625 and 529 on rows, and then only 4 digits are remaining and possible to intuitively add focusing on 2-digits, or even brute-force as there are only 24 possibilities.




      I just tried coding this too after seeing OP's comment, and if my program was correct,




      This is the maximum and only this arrangement and rotations/reflections gives the answer.







      share|improve this answer











      $endgroup$














      • $begingroup$
        I coded it myself to check, you are correct that this is optimal :)
        $endgroup$
        – im_so_meta_even_this_acronym
        5 hours ago















      4













      $begingroup$

      Best solution I could come up with was,




      13 squares:

      1 3 7

      6 2 5

      9 4 8




      which includes the squares,




      1, 4, 9, 16, 25, 36, 49, 64, 169, 324, 625, 729, 961




      What I tried,




      Mostly trying to get as much squares with 2-digit squares (only missed 81) as possible and swapping around to make 3-digit squares and prioritizing the 169-961 double 3-digit square and other 2-3-digit doubles.

      I started with 169 on a column and tried making 625 and 529 on rows, and then only 4 digits are remaining and possible to intuitively add focusing on 2-digits, or even brute-force as there are only 24 possibilities.




      I just tried coding this too after seeing OP's comment, and if my program was correct,




      This is the maximum and only this arrangement and rotations/reflections gives the answer.







      share|improve this answer











      $endgroup$














      • $begingroup$
        I coded it myself to check, you are correct that this is optimal :)
        $endgroup$
        – im_so_meta_even_this_acronym
        5 hours ago













      4














      4










      4







      $begingroup$

      Best solution I could come up with was,




      13 squares:

      1 3 7

      6 2 5

      9 4 8




      which includes the squares,




      1, 4, 9, 16, 25, 36, 49, 64, 169, 324, 625, 729, 961




      What I tried,




      Mostly trying to get as much squares with 2-digit squares (only missed 81) as possible and swapping around to make 3-digit squares and prioritizing the 169-961 double 3-digit square and other 2-3-digit doubles.

      I started with 169 on a column and tried making 625 and 529 on rows, and then only 4 digits are remaining and possible to intuitively add focusing on 2-digits, or even brute-force as there are only 24 possibilities.




      I just tried coding this too after seeing OP's comment, and if my program was correct,




      This is the maximum and only this arrangement and rotations/reflections gives the answer.







      share|improve this answer











      $endgroup$



      Best solution I could come up with was,




      13 squares:

      1 3 7

      6 2 5

      9 4 8




      which includes the squares,




      1, 4, 9, 16, 25, 36, 49, 64, 169, 324, 625, 729, 961




      What I tried,




      Mostly trying to get as much squares with 2-digit squares (only missed 81) as possible and swapping around to make 3-digit squares and prioritizing the 169-961 double 3-digit square and other 2-3-digit doubles.

      I started with 169 on a column and tried making 625 and 529 on rows, and then only 4 digits are remaining and possible to intuitively add focusing on 2-digits, or even brute-force as there are only 24 possibilities.




      I just tried coding this too after seeing OP's comment, and if my program was correct,




      This is the maximum and only this arrangement and rotations/reflections gives the answer.








      share|improve this answer














      share|improve this answer



      share|improve this answer








      edited 6 hours ago

























      answered 7 hours ago









      SupersonicSupersonic

      1496 bronze badges




      1496 bronze badges














      • $begingroup$
        I coded it myself to check, you are correct that this is optimal :)
        $endgroup$
        – im_so_meta_even_this_acronym
        5 hours ago
















      • $begingroup$
        I coded it myself to check, you are correct that this is optimal :)
        $endgroup$
        – im_so_meta_even_this_acronym
        5 hours ago















      $begingroup$
      I coded it myself to check, you are correct that this is optimal :)
      $endgroup$
      – im_so_meta_even_this_acronym
      5 hours ago




      $begingroup$
      I coded it myself to check, you are correct that this is optimal :)
      $endgroup$
      – im_so_meta_even_this_acronym
      5 hours ago













      3













      $begingroup$

      The best I've managed so far is




      12 squares




      With the following




      1 8 3

      7 6 4

      5 2 9


      which has

      1, 4, 9, 16, 25, 36, 49, 64, 81, 169, 529, 961




      General Strategy




      It's not too difficult to include all of the 2-digit squares. After that it's sensible to have 169 in there (as you get 961 for free) and then 529 is also easy to get in as we have 25.







      share|improve this answer









      $endgroup$



















        3













        $begingroup$

        The best I've managed so far is




        12 squares




        With the following




        1 8 3

        7 6 4

        5 2 9


        which has

        1, 4, 9, 16, 25, 36, 49, 64, 81, 169, 529, 961




        General Strategy




        It's not too difficult to include all of the 2-digit squares. After that it's sensible to have 169 in there (as you get 961 for free) and then 529 is also easy to get in as we have 25.







        share|improve this answer









        $endgroup$

















          3














          3










          3







          $begingroup$

          The best I've managed so far is




          12 squares




          With the following




          1 8 3

          7 6 4

          5 2 9


          which has

          1, 4, 9, 16, 25, 36, 49, 64, 81, 169, 529, 961




          General Strategy




          It's not too difficult to include all of the 2-digit squares. After that it's sensible to have 169 in there (as you get 961 for free) and then 529 is also easy to get in as we have 25.







          share|improve this answer









          $endgroup$



          The best I've managed so far is




          12 squares




          With the following




          1 8 3

          7 6 4

          5 2 9


          which has

          1, 4, 9, 16, 25, 36, 49, 64, 81, 169, 529, 961




          General Strategy




          It's not too difficult to include all of the 2-digit squares. After that it's sensible to have 169 in there (as you get 961 for free) and then 529 is also easy to get in as we have 25.








          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered 7 hours ago









          hexominohexomino

          60.4k5 gold badges174 silver badges274 bronze badges




          60.4k5 gold badges174 silver badges274 bronze badges
























              0













              $begingroup$

              Solution 1 with 2 as center



              9 4 8



              6 2 5



              1 3 7




              13 squares 1,4, 9, 16, 25, 36, 49, 64, 169, 324, 625, 729, 961




              Strategy: I first write down the all 3 digits squares then I look for the 3 digit squares with a most solid center. means a maximum of 3 digits squares with common center number. I found there are 4 these types of squares 324, 625, 529, 729 where the common center is 2. so I made 2 is my center number and write down all the 3 digits squares. then I tried to cover the other 3 digits squares by rearranging them. then finally I look for all 2 digit squares and be able to get them mostly except 81. Also, one more thing 169 and 961 is also a good combo so don't miss it. if you see the 3 digit square list below that we can use, we can clearly see that 2 makes the most solid center so the most solid solution, after it 3 and 8 can give a better result.



              Possible 3 digit squares we can use with solid centers.



              1. 324, 529, 625, 729


              2. 169, 361, 961


              3. 289, 784


              4. 841196256576


              Solution 2 with 2 as center



              5 7 8



              3 2 4



              1 6 9




              same strategy 12 squares 1,4, 9, 16, 25, 36, 49, 64, 169, 324, 529,
              961




              Solution 3 with 8 as center



              2 7 1



              5 8 6



              3 4 9




              Another 12 squares 1,4, 9, 16, 25, 49, 64, 81,169, 196, 289, 784




              Solution 4 as 6 as the center.



              1 5 7



              8 6 2



              3 4 9




              12 squares same strategy 1 ,4, 9, 16, 25, 49, 64, 81,169, 729, 961







              share|improve this answer










              New contributor



              Sayed Mohd Ali is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
              Check out our Code of Conduct.





              $endgroup$



















                0













                $begingroup$

                Solution 1 with 2 as center



                9 4 8



                6 2 5



                1 3 7




                13 squares 1,4, 9, 16, 25, 36, 49, 64, 169, 324, 625, 729, 961




                Strategy: I first write down the all 3 digits squares then I look for the 3 digit squares with a most solid center. means a maximum of 3 digits squares with common center number. I found there are 4 these types of squares 324, 625, 529, 729 where the common center is 2. so I made 2 is my center number and write down all the 3 digits squares. then I tried to cover the other 3 digits squares by rearranging them. then finally I look for all 2 digit squares and be able to get them mostly except 81. Also, one more thing 169 and 961 is also a good combo so don't miss it. if you see the 3 digit square list below that we can use, we can clearly see that 2 makes the most solid center so the most solid solution, after it 3 and 8 can give a better result.



                Possible 3 digit squares we can use with solid centers.



                1. 324, 529, 625, 729


                2. 169, 361, 961


                3. 289, 784


                4. 841196256576


                Solution 2 with 2 as center



                5 7 8



                3 2 4



                1 6 9




                same strategy 12 squares 1,4, 9, 16, 25, 36, 49, 64, 169, 324, 529,
                961




                Solution 3 with 8 as center



                2 7 1



                5 8 6



                3 4 9




                Another 12 squares 1,4, 9, 16, 25, 49, 64, 81,169, 196, 289, 784




                Solution 4 as 6 as the center.



                1 5 7



                8 6 2



                3 4 9




                12 squares same strategy 1 ,4, 9, 16, 25, 49, 64, 81,169, 729, 961







                share|improve this answer










                New contributor



                Sayed Mohd Ali is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                Check out our Code of Conduct.





                $endgroup$

















                  0














                  0










                  0







                  $begingroup$

                  Solution 1 with 2 as center



                  9 4 8



                  6 2 5



                  1 3 7




                  13 squares 1,4, 9, 16, 25, 36, 49, 64, 169, 324, 625, 729, 961




                  Strategy: I first write down the all 3 digits squares then I look for the 3 digit squares with a most solid center. means a maximum of 3 digits squares with common center number. I found there are 4 these types of squares 324, 625, 529, 729 where the common center is 2. so I made 2 is my center number and write down all the 3 digits squares. then I tried to cover the other 3 digits squares by rearranging them. then finally I look for all 2 digit squares and be able to get them mostly except 81. Also, one more thing 169 and 961 is also a good combo so don't miss it. if you see the 3 digit square list below that we can use, we can clearly see that 2 makes the most solid center so the most solid solution, after it 3 and 8 can give a better result.



                  Possible 3 digit squares we can use with solid centers.



                  1. 324, 529, 625, 729


                  2. 169, 361, 961


                  3. 289, 784


                  4. 841196256576


                  Solution 2 with 2 as center



                  5 7 8



                  3 2 4



                  1 6 9




                  same strategy 12 squares 1,4, 9, 16, 25, 36, 49, 64, 169, 324, 529,
                  961




                  Solution 3 with 8 as center



                  2 7 1



                  5 8 6



                  3 4 9




                  Another 12 squares 1,4, 9, 16, 25, 49, 64, 81,169, 196, 289, 784




                  Solution 4 as 6 as the center.



                  1 5 7



                  8 6 2



                  3 4 9




                  12 squares same strategy 1 ,4, 9, 16, 25, 49, 64, 81,169, 729, 961







                  share|improve this answer










                  New contributor



                  Sayed Mohd Ali is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                  Check out our Code of Conduct.





                  $endgroup$



                  Solution 1 with 2 as center



                  9 4 8



                  6 2 5



                  1 3 7




                  13 squares 1,4, 9, 16, 25, 36, 49, 64, 169, 324, 625, 729, 961




                  Strategy: I first write down the all 3 digits squares then I look for the 3 digit squares with a most solid center. means a maximum of 3 digits squares with common center number. I found there are 4 these types of squares 324, 625, 529, 729 where the common center is 2. so I made 2 is my center number and write down all the 3 digits squares. then I tried to cover the other 3 digits squares by rearranging them. then finally I look for all 2 digit squares and be able to get them mostly except 81. Also, one more thing 169 and 961 is also a good combo so don't miss it. if you see the 3 digit square list below that we can use, we can clearly see that 2 makes the most solid center so the most solid solution, after it 3 and 8 can give a better result.



                  Possible 3 digit squares we can use with solid centers.



                  1. 324, 529, 625, 729


                  2. 169, 361, 961


                  3. 289, 784


                  4. 841196256576


                  Solution 2 with 2 as center



                  5 7 8



                  3 2 4



                  1 6 9




                  same strategy 12 squares 1,4, 9, 16, 25, 36, 49, 64, 169, 324, 529,
                  961




                  Solution 3 with 8 as center



                  2 7 1



                  5 8 6



                  3 4 9




                  Another 12 squares 1,4, 9, 16, 25, 49, 64, 81,169, 196, 289, 784




                  Solution 4 as 6 as the center.



                  1 5 7



                  8 6 2



                  3 4 9




                  12 squares same strategy 1 ,4, 9, 16, 25, 49, 64, 81,169, 729, 961








                  share|improve this answer










                  New contributor



                  Sayed Mohd Ali is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                  Check out our Code of Conduct.








                  share|improve this answer



                  share|improve this answer








                  edited 4 hours ago





















                  New contributor



                  Sayed Mohd Ali is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                  Check out our Code of Conduct.








                  answered 5 hours ago









                  Sayed Mohd AliSayed Mohd Ali

                  19113 bronze badges




                  19113 bronze badges




                  New contributor



                  Sayed Mohd Ali is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                  Check out our Code of Conduct.




                  New contributor




                  Sayed Mohd Ali is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                  Check out our Code of Conduct.
































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