Coloring the Chess Board












6












$begingroup$


We have 8x8 Chess board like grid (8x8 2D matrix) and we are trying to color every single square/cell. But the rules are interesting;




  • You may start from any square you want and color that square for the beginning.

  • You can continue coloring another square in the grid which is $4$ or $5$ squares away from the square you started and colored from and so on (vertically or horizontally).

  • You cannot color the same square you colored before or come back again on that.


enter image description here




What is the maximum amount of squares you can color with the given rule above?











share|improve this question











$endgroup$












  • $begingroup$
    Am I right in thinking this is an 8 x 8 x 8 cube? I think that may need to be included in the question if so
    $endgroup$
    – AHKieran
    Dec 4 '18 at 13:49










  • $begingroup$
    @AHKieran this is 8x8 Grid, not a cube. what makes you think like that? Oo
    $endgroup$
    – Oray
    Dec 4 '18 at 13:50










  • $begingroup$
    sorry i meant an 8 x 8 x A cuboid, so the grids are extruded upwards A times?
    $endgroup$
    – AHKieran
    Dec 4 '18 at 13:51










  • $begingroup$
    perhaps some sort of diagram example would be useful?
    $endgroup$
    – AHKieran
    Dec 4 '18 at 13:52










  • $begingroup$
    Oray, you are misusing the word "Grid". Grid refers to the whole array of squares, whereas you seem to be using it to refer to a single square.
    $endgroup$
    – Jaap Scherphuis
    Dec 4 '18 at 13:52


















6












$begingroup$


We have 8x8 Chess board like grid (8x8 2D matrix) and we are trying to color every single square/cell. But the rules are interesting;




  • You may start from any square you want and color that square for the beginning.

  • You can continue coloring another square in the grid which is $4$ or $5$ squares away from the square you started and colored from and so on (vertically or horizontally).

  • You cannot color the same square you colored before or come back again on that.


enter image description here




What is the maximum amount of squares you can color with the given rule above?











share|improve this question











$endgroup$












  • $begingroup$
    Am I right in thinking this is an 8 x 8 x 8 cube? I think that may need to be included in the question if so
    $endgroup$
    – AHKieran
    Dec 4 '18 at 13:49










  • $begingroup$
    @AHKieran this is 8x8 Grid, not a cube. what makes you think like that? Oo
    $endgroup$
    – Oray
    Dec 4 '18 at 13:50










  • $begingroup$
    sorry i meant an 8 x 8 x A cuboid, so the grids are extruded upwards A times?
    $endgroup$
    – AHKieran
    Dec 4 '18 at 13:51










  • $begingroup$
    perhaps some sort of diagram example would be useful?
    $endgroup$
    – AHKieran
    Dec 4 '18 at 13:52










  • $begingroup$
    Oray, you are misusing the word "Grid". Grid refers to the whole array of squares, whereas you seem to be using it to refer to a single square.
    $endgroup$
    – Jaap Scherphuis
    Dec 4 '18 at 13:52
















6












6








6


2



$begingroup$


We have 8x8 Chess board like grid (8x8 2D matrix) and we are trying to color every single square/cell. But the rules are interesting;




  • You may start from any square you want and color that square for the beginning.

  • You can continue coloring another square in the grid which is $4$ or $5$ squares away from the square you started and colored from and so on (vertically or horizontally).

  • You cannot color the same square you colored before or come back again on that.


enter image description here




What is the maximum amount of squares you can color with the given rule above?











share|improve this question











$endgroup$




We have 8x8 Chess board like grid (8x8 2D matrix) and we are trying to color every single square/cell. But the rules are interesting;




  • You may start from any square you want and color that square for the beginning.

  • You can continue coloring another square in the grid which is $4$ or $5$ squares away from the square you started and colored from and so on (vertically or horizontally).

  • You cannot color the same square you colored before or come back again on that.


enter image description here




What is the maximum amount of squares you can color with the given rule above?








logical-deduction optimization






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited Dec 4 '18 at 14:06







Oray

















asked Dec 4 '18 at 13:42









OrayOray

15.8k436154




15.8k436154












  • $begingroup$
    Am I right in thinking this is an 8 x 8 x 8 cube? I think that may need to be included in the question if so
    $endgroup$
    – AHKieran
    Dec 4 '18 at 13:49










  • $begingroup$
    @AHKieran this is 8x8 Grid, not a cube. what makes you think like that? Oo
    $endgroup$
    – Oray
    Dec 4 '18 at 13:50










  • $begingroup$
    sorry i meant an 8 x 8 x A cuboid, so the grids are extruded upwards A times?
    $endgroup$
    – AHKieran
    Dec 4 '18 at 13:51










  • $begingroup$
    perhaps some sort of diagram example would be useful?
    $endgroup$
    – AHKieran
    Dec 4 '18 at 13:52










  • $begingroup$
    Oray, you are misusing the word "Grid". Grid refers to the whole array of squares, whereas you seem to be using it to refer to a single square.
    $endgroup$
    – Jaap Scherphuis
    Dec 4 '18 at 13:52




















  • $begingroup$
    Am I right in thinking this is an 8 x 8 x 8 cube? I think that may need to be included in the question if so
    $endgroup$
    – AHKieran
    Dec 4 '18 at 13:49










  • $begingroup$
    @AHKieran this is 8x8 Grid, not a cube. what makes you think like that? Oo
    $endgroup$
    – Oray
    Dec 4 '18 at 13:50










  • $begingroup$
    sorry i meant an 8 x 8 x A cuboid, so the grids are extruded upwards A times?
    $endgroup$
    – AHKieran
    Dec 4 '18 at 13:51










  • $begingroup$
    perhaps some sort of diagram example would be useful?
    $endgroup$
    – AHKieran
    Dec 4 '18 at 13:52










  • $begingroup$
    Oray, you are misusing the word "Grid". Grid refers to the whole array of squares, whereas you seem to be using it to refer to a single square.
    $endgroup$
    – Jaap Scherphuis
    Dec 4 '18 at 13:52


















$begingroup$
Am I right in thinking this is an 8 x 8 x 8 cube? I think that may need to be included in the question if so
$endgroup$
– AHKieran
Dec 4 '18 at 13:49




$begingroup$
Am I right in thinking this is an 8 x 8 x 8 cube? I think that may need to be included in the question if so
$endgroup$
– AHKieran
Dec 4 '18 at 13:49












$begingroup$
@AHKieran this is 8x8 Grid, not a cube. what makes you think like that? Oo
$endgroup$
– Oray
Dec 4 '18 at 13:50




$begingroup$
@AHKieran this is 8x8 Grid, not a cube. what makes you think like that? Oo
$endgroup$
– Oray
Dec 4 '18 at 13:50












$begingroup$
sorry i meant an 8 x 8 x A cuboid, so the grids are extruded upwards A times?
$endgroup$
– AHKieran
Dec 4 '18 at 13:51




$begingroup$
sorry i meant an 8 x 8 x A cuboid, so the grids are extruded upwards A times?
$endgroup$
– AHKieran
Dec 4 '18 at 13:51












$begingroup$
perhaps some sort of diagram example would be useful?
$endgroup$
– AHKieran
Dec 4 '18 at 13:52




$begingroup$
perhaps some sort of diagram example would be useful?
$endgroup$
– AHKieran
Dec 4 '18 at 13:52












$begingroup$
Oray, you are misusing the word "Grid". Grid refers to the whole array of squares, whereas you seem to be using it to refer to a single square.
$endgroup$
– Jaap Scherphuis
Dec 4 '18 at 13:52






$begingroup$
Oray, you are misusing the word "Grid". Grid refers to the whole array of squares, whereas you seem to be using it to refer to a single square.
$endgroup$
– Jaap Scherphuis
Dec 4 '18 at 13:52












4 Answers
4






active

oldest

votes


















16












$begingroup$

The one-dimensional problem can be solved as follows:




|2|4|6|8|1|3|5|7|


Since we start and end at a central square, we can use the same strategy on the Y-axis and colour one row at a time. In the end we'll have coloured all 64 squares.




Using chessboard coordinates:




e5 a5 f5 b5 g5 c5 h5 d5

d1 h1 c1 g1 b1 f1 a1 e1

e6 a6 f6 b6 g6 c6 h6 d6

d2 h2 c2 g2 b2 f2 a2 e2

e7 a7 f7 b7 g7 c7 h7 d7

d3 h3 c3 g3 b3 f3 a3 e3

e8 a8 f8 b8 g8 c8 h8 d8

d4 h4 c4 g4 b4 f4 a4 e4







share|improve this answer











$endgroup$













  • $begingroup$
    Er... you can't cross squares that have already been colored.
    $endgroup$
    – Excited Raichu
    Dec 4 '18 at 14:10










  • $begingroup$
    @ExcitedRaichu Yes you can. Oray at first misread your question in the comments, but then corrected himself a minute or so later.
    $endgroup$
    – Jaap Scherphuis
    Dec 4 '18 at 14:11












  • $begingroup$
    @JaapScherphuis ah, I definitely didn't see the edit, I was busy typing my answer (with no crossing)
    $endgroup$
    – Excited Raichu
    Dec 4 '18 at 14:12










  • $begingroup$
    @jafe This is a lovely solution. I was trying to go around in 4x4 squares, filling two rows simultaneously, but was always left with two or more unreachable squares.
    $endgroup$
    – Jaap Scherphuis
    Dec 4 '18 at 14:16










  • $begingroup$
    So the answer is "64". You answer implies that you're gunning for 64, but, I think you should actually say 64.
    $endgroup$
    – Stephen Quan
    Dec 5 '18 at 4:16



















3












$begingroup$

I think I can get:




63 out of 64 squares coloured




Method:




You start in one of the centre lines, 4 in from the left, and move left 4, right 5, left 4, right 5 etc until the whole line is filled.

Then you repeat this vertically, starting from the square you last filled in the row, until the whole column is filled.

Repeating this ends up with a cross in middle 2 rows/columns. After this, repeating this line filling method creates a window like shape with the outside squares also filled.

At this point I managed to go around and fill the inner squares, but I could not move from the last one I filled to the the one remaining square so ended on 63.







share|improve this answer









$endgroup$





















    0












    $begingroup$

    I can do




    17, without even crossing a colored square




    by




    using chessboard coordinates, e4 - e8 - a8 - a3 - f3 - f7 - b7 - b2 - g2 - g6 - c6 - c1 - h1 - h5 - d5 - d1







    share|improve this answer











    $endgroup$





















      -1












      $begingroup$

      All 64;




      order is as follows:



      [02,04,06,08,10,12,14,16]



      [32,30,28,26,24,22,20,18]



      [34,36,38,40,42,44,46,48]



      [64,62,60,58,56,54,52,50]



      [01,03,05,07,09,11,13,15]



      [31,29,27,25,23,21,19,17]



      [33,35,37,39,41,43,45,47]



      [63,61,59,57,55,53,51,49]




      sorry about the formatting






      share|improve this answer









      $endgroup$













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        4 Answers
        4






        active

        oldest

        votes








        4 Answers
        4






        active

        oldest

        votes









        active

        oldest

        votes






        active

        oldest

        votes









        16












        $begingroup$

        The one-dimensional problem can be solved as follows:




        |2|4|6|8|1|3|5|7|


        Since we start and end at a central square, we can use the same strategy on the Y-axis and colour one row at a time. In the end we'll have coloured all 64 squares.




        Using chessboard coordinates:




        e5 a5 f5 b5 g5 c5 h5 d5

        d1 h1 c1 g1 b1 f1 a1 e1

        e6 a6 f6 b6 g6 c6 h6 d6

        d2 h2 c2 g2 b2 f2 a2 e2

        e7 a7 f7 b7 g7 c7 h7 d7

        d3 h3 c3 g3 b3 f3 a3 e3

        e8 a8 f8 b8 g8 c8 h8 d8

        d4 h4 c4 g4 b4 f4 a4 e4







        share|improve this answer











        $endgroup$













        • $begingroup$
          Er... you can't cross squares that have already been colored.
          $endgroup$
          – Excited Raichu
          Dec 4 '18 at 14:10










        • $begingroup$
          @ExcitedRaichu Yes you can. Oray at first misread your question in the comments, but then corrected himself a minute or so later.
          $endgroup$
          – Jaap Scherphuis
          Dec 4 '18 at 14:11












        • $begingroup$
          @JaapScherphuis ah, I definitely didn't see the edit, I was busy typing my answer (with no crossing)
          $endgroup$
          – Excited Raichu
          Dec 4 '18 at 14:12










        • $begingroup$
          @jafe This is a lovely solution. I was trying to go around in 4x4 squares, filling two rows simultaneously, but was always left with two or more unreachable squares.
          $endgroup$
          – Jaap Scherphuis
          Dec 4 '18 at 14:16










        • $begingroup$
          So the answer is "64". You answer implies that you're gunning for 64, but, I think you should actually say 64.
          $endgroup$
          – Stephen Quan
          Dec 5 '18 at 4:16
















        16












        $begingroup$

        The one-dimensional problem can be solved as follows:




        |2|4|6|8|1|3|5|7|


        Since we start and end at a central square, we can use the same strategy on the Y-axis and colour one row at a time. In the end we'll have coloured all 64 squares.




        Using chessboard coordinates:




        e5 a5 f5 b5 g5 c5 h5 d5

        d1 h1 c1 g1 b1 f1 a1 e1

        e6 a6 f6 b6 g6 c6 h6 d6

        d2 h2 c2 g2 b2 f2 a2 e2

        e7 a7 f7 b7 g7 c7 h7 d7

        d3 h3 c3 g3 b3 f3 a3 e3

        e8 a8 f8 b8 g8 c8 h8 d8

        d4 h4 c4 g4 b4 f4 a4 e4







        share|improve this answer











        $endgroup$













        • $begingroup$
          Er... you can't cross squares that have already been colored.
          $endgroup$
          – Excited Raichu
          Dec 4 '18 at 14:10










        • $begingroup$
          @ExcitedRaichu Yes you can. Oray at first misread your question in the comments, but then corrected himself a minute or so later.
          $endgroup$
          – Jaap Scherphuis
          Dec 4 '18 at 14:11












        • $begingroup$
          @JaapScherphuis ah, I definitely didn't see the edit, I was busy typing my answer (with no crossing)
          $endgroup$
          – Excited Raichu
          Dec 4 '18 at 14:12










        • $begingroup$
          @jafe This is a lovely solution. I was trying to go around in 4x4 squares, filling two rows simultaneously, but was always left with two or more unreachable squares.
          $endgroup$
          – Jaap Scherphuis
          Dec 4 '18 at 14:16










        • $begingroup$
          So the answer is "64". You answer implies that you're gunning for 64, but, I think you should actually say 64.
          $endgroup$
          – Stephen Quan
          Dec 5 '18 at 4:16














        16












        16








        16





        $begingroup$

        The one-dimensional problem can be solved as follows:




        |2|4|6|8|1|3|5|7|


        Since we start and end at a central square, we can use the same strategy on the Y-axis and colour one row at a time. In the end we'll have coloured all 64 squares.




        Using chessboard coordinates:




        e5 a5 f5 b5 g5 c5 h5 d5

        d1 h1 c1 g1 b1 f1 a1 e1

        e6 a6 f6 b6 g6 c6 h6 d6

        d2 h2 c2 g2 b2 f2 a2 e2

        e7 a7 f7 b7 g7 c7 h7 d7

        d3 h3 c3 g3 b3 f3 a3 e3

        e8 a8 f8 b8 g8 c8 h8 d8

        d4 h4 c4 g4 b4 f4 a4 e4







        share|improve this answer











        $endgroup$



        The one-dimensional problem can be solved as follows:




        |2|4|6|8|1|3|5|7|


        Since we start and end at a central square, we can use the same strategy on the Y-axis and colour one row at a time. In the end we'll have coloured all 64 squares.




        Using chessboard coordinates:




        e5 a5 f5 b5 g5 c5 h5 d5

        d1 h1 c1 g1 b1 f1 a1 e1

        e6 a6 f6 b6 g6 c6 h6 d6

        d2 h2 c2 g2 b2 f2 a2 e2

        e7 a7 f7 b7 g7 c7 h7 d7

        d3 h3 c3 g3 b3 f3 a3 e3

        e8 a8 f8 b8 g8 c8 h8 d8

        d4 h4 c4 g4 b4 f4 a4 e4








        share|improve this answer














        share|improve this answer



        share|improve this answer








        edited Dec 5 '18 at 4:41

























        answered Dec 4 '18 at 14:09









        jafejafe

        18.6k352181




        18.6k352181












        • $begingroup$
          Er... you can't cross squares that have already been colored.
          $endgroup$
          – Excited Raichu
          Dec 4 '18 at 14:10










        • $begingroup$
          @ExcitedRaichu Yes you can. Oray at first misread your question in the comments, but then corrected himself a minute or so later.
          $endgroup$
          – Jaap Scherphuis
          Dec 4 '18 at 14:11












        • $begingroup$
          @JaapScherphuis ah, I definitely didn't see the edit, I was busy typing my answer (with no crossing)
          $endgroup$
          – Excited Raichu
          Dec 4 '18 at 14:12










        • $begingroup$
          @jafe This is a lovely solution. I was trying to go around in 4x4 squares, filling two rows simultaneously, but was always left with two or more unreachable squares.
          $endgroup$
          – Jaap Scherphuis
          Dec 4 '18 at 14:16










        • $begingroup$
          So the answer is "64". You answer implies that you're gunning for 64, but, I think you should actually say 64.
          $endgroup$
          – Stephen Quan
          Dec 5 '18 at 4:16


















        • $begingroup$
          Er... you can't cross squares that have already been colored.
          $endgroup$
          – Excited Raichu
          Dec 4 '18 at 14:10










        • $begingroup$
          @ExcitedRaichu Yes you can. Oray at first misread your question in the comments, but then corrected himself a minute or so later.
          $endgroup$
          – Jaap Scherphuis
          Dec 4 '18 at 14:11












        • $begingroup$
          @JaapScherphuis ah, I definitely didn't see the edit, I was busy typing my answer (with no crossing)
          $endgroup$
          – Excited Raichu
          Dec 4 '18 at 14:12










        • $begingroup$
          @jafe This is a lovely solution. I was trying to go around in 4x4 squares, filling two rows simultaneously, but was always left with two or more unreachable squares.
          $endgroup$
          – Jaap Scherphuis
          Dec 4 '18 at 14:16










        • $begingroup$
          So the answer is "64". You answer implies that you're gunning for 64, but, I think you should actually say 64.
          $endgroup$
          – Stephen Quan
          Dec 5 '18 at 4:16
















        $begingroup$
        Er... you can't cross squares that have already been colored.
        $endgroup$
        – Excited Raichu
        Dec 4 '18 at 14:10




        $begingroup$
        Er... you can't cross squares that have already been colored.
        $endgroup$
        – Excited Raichu
        Dec 4 '18 at 14:10












        $begingroup$
        @ExcitedRaichu Yes you can. Oray at first misread your question in the comments, but then corrected himself a minute or so later.
        $endgroup$
        – Jaap Scherphuis
        Dec 4 '18 at 14:11






        $begingroup$
        @ExcitedRaichu Yes you can. Oray at first misread your question in the comments, but then corrected himself a minute or so later.
        $endgroup$
        – Jaap Scherphuis
        Dec 4 '18 at 14:11














        $begingroup$
        @JaapScherphuis ah, I definitely didn't see the edit, I was busy typing my answer (with no crossing)
        $endgroup$
        – Excited Raichu
        Dec 4 '18 at 14:12




        $begingroup$
        @JaapScherphuis ah, I definitely didn't see the edit, I was busy typing my answer (with no crossing)
        $endgroup$
        – Excited Raichu
        Dec 4 '18 at 14:12












        $begingroup$
        @jafe This is a lovely solution. I was trying to go around in 4x4 squares, filling two rows simultaneously, but was always left with two or more unreachable squares.
        $endgroup$
        – Jaap Scherphuis
        Dec 4 '18 at 14:16




        $begingroup$
        @jafe This is a lovely solution. I was trying to go around in 4x4 squares, filling two rows simultaneously, but was always left with two or more unreachable squares.
        $endgroup$
        – Jaap Scherphuis
        Dec 4 '18 at 14:16












        $begingroup$
        So the answer is "64". You answer implies that you're gunning for 64, but, I think you should actually say 64.
        $endgroup$
        – Stephen Quan
        Dec 5 '18 at 4:16




        $begingroup$
        So the answer is "64". You answer implies that you're gunning for 64, but, I think you should actually say 64.
        $endgroup$
        – Stephen Quan
        Dec 5 '18 at 4:16











        3












        $begingroup$

        I think I can get:




        63 out of 64 squares coloured




        Method:




        You start in one of the centre lines, 4 in from the left, and move left 4, right 5, left 4, right 5 etc until the whole line is filled.

        Then you repeat this vertically, starting from the square you last filled in the row, until the whole column is filled.

        Repeating this ends up with a cross in middle 2 rows/columns. After this, repeating this line filling method creates a window like shape with the outside squares also filled.

        At this point I managed to go around and fill the inner squares, but I could not move from the last one I filled to the the one remaining square so ended on 63.







        share|improve this answer









        $endgroup$


















          3












          $begingroup$

          I think I can get:




          63 out of 64 squares coloured




          Method:




          You start in one of the centre lines, 4 in from the left, and move left 4, right 5, left 4, right 5 etc until the whole line is filled.

          Then you repeat this vertically, starting from the square you last filled in the row, until the whole column is filled.

          Repeating this ends up with a cross in middle 2 rows/columns. After this, repeating this line filling method creates a window like shape with the outside squares also filled.

          At this point I managed to go around and fill the inner squares, but I could not move from the last one I filled to the the one remaining square so ended on 63.







          share|improve this answer









          $endgroup$
















            3












            3








            3





            $begingroup$

            I think I can get:




            63 out of 64 squares coloured




            Method:




            You start in one of the centre lines, 4 in from the left, and move left 4, right 5, left 4, right 5 etc until the whole line is filled.

            Then you repeat this vertically, starting from the square you last filled in the row, until the whole column is filled.

            Repeating this ends up with a cross in middle 2 rows/columns. After this, repeating this line filling method creates a window like shape with the outside squares also filled.

            At this point I managed to go around and fill the inner squares, but I could not move from the last one I filled to the the one remaining square so ended on 63.







            share|improve this answer









            $endgroup$



            I think I can get:




            63 out of 64 squares coloured




            Method:




            You start in one of the centre lines, 4 in from the left, and move left 4, right 5, left 4, right 5 etc until the whole line is filled.

            Then you repeat this vertically, starting from the square you last filled in the row, until the whole column is filled.

            Repeating this ends up with a cross in middle 2 rows/columns. After this, repeating this line filling method creates a window like shape with the outside squares also filled.

            At this point I managed to go around and fill the inner squares, but I could not move from the last one I filled to the the one remaining square so ended on 63.








            share|improve this answer












            share|improve this answer



            share|improve this answer










            answered Dec 4 '18 at 14:17









            AHKieranAHKieran

            4,311738




            4,311738























                0












                $begingroup$

                I can do




                17, without even crossing a colored square




                by




                using chessboard coordinates, e4 - e8 - a8 - a3 - f3 - f7 - b7 - b2 - g2 - g6 - c6 - c1 - h1 - h5 - d5 - d1







                share|improve this answer











                $endgroup$


















                  0












                  $begingroup$

                  I can do




                  17, without even crossing a colored square




                  by




                  using chessboard coordinates, e4 - e8 - a8 - a3 - f3 - f7 - b7 - b2 - g2 - g6 - c6 - c1 - h1 - h5 - d5 - d1







                  share|improve this answer











                  $endgroup$
















                    0












                    0








                    0





                    $begingroup$

                    I can do




                    17, without even crossing a colored square




                    by




                    using chessboard coordinates, e4 - e8 - a8 - a3 - f3 - f7 - b7 - b2 - g2 - g6 - c6 - c1 - h1 - h5 - d5 - d1







                    share|improve this answer











                    $endgroup$



                    I can do




                    17, without even crossing a colored square




                    by




                    using chessboard coordinates, e4 - e8 - a8 - a3 - f3 - f7 - b7 - b2 - g2 - g6 - c6 - c1 - h1 - h5 - d5 - d1








                    share|improve this answer














                    share|improve this answer



                    share|improve this answer








                    edited Dec 4 '18 at 14:09

























                    answered Dec 4 '18 at 14:04









                    Excited RaichuExcited Raichu

                    6,24821065




                    6,24821065























                        -1












                        $begingroup$

                        All 64;




                        order is as follows:



                        [02,04,06,08,10,12,14,16]



                        [32,30,28,26,24,22,20,18]



                        [34,36,38,40,42,44,46,48]



                        [64,62,60,58,56,54,52,50]



                        [01,03,05,07,09,11,13,15]



                        [31,29,27,25,23,21,19,17]



                        [33,35,37,39,41,43,45,47]



                        [63,61,59,57,55,53,51,49]




                        sorry about the formatting






                        share|improve this answer









                        $endgroup$


















                          -1












                          $begingroup$

                          All 64;




                          order is as follows:



                          [02,04,06,08,10,12,14,16]



                          [32,30,28,26,24,22,20,18]



                          [34,36,38,40,42,44,46,48]



                          [64,62,60,58,56,54,52,50]



                          [01,03,05,07,09,11,13,15]



                          [31,29,27,25,23,21,19,17]



                          [33,35,37,39,41,43,45,47]



                          [63,61,59,57,55,53,51,49]




                          sorry about the formatting






                          share|improve this answer









                          $endgroup$
















                            -1












                            -1








                            -1





                            $begingroup$

                            All 64;




                            order is as follows:



                            [02,04,06,08,10,12,14,16]



                            [32,30,28,26,24,22,20,18]



                            [34,36,38,40,42,44,46,48]



                            [64,62,60,58,56,54,52,50]



                            [01,03,05,07,09,11,13,15]



                            [31,29,27,25,23,21,19,17]



                            [33,35,37,39,41,43,45,47]



                            [63,61,59,57,55,53,51,49]




                            sorry about the formatting






                            share|improve this answer









                            $endgroup$



                            All 64;




                            order is as follows:



                            [02,04,06,08,10,12,14,16]



                            [32,30,28,26,24,22,20,18]



                            [34,36,38,40,42,44,46,48]



                            [64,62,60,58,56,54,52,50]



                            [01,03,05,07,09,11,13,15]



                            [31,29,27,25,23,21,19,17]



                            [33,35,37,39,41,43,45,47]



                            [63,61,59,57,55,53,51,49]




                            sorry about the formatting







                            share|improve this answer












                            share|improve this answer



                            share|improve this answer










                            answered Dec 4 '18 at 20:34









                            CaptianObviousCaptianObvious

                            1




                            1






























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