A Wonderful Recursion I want to Share!!

Revision en13, by salehin_076923, 2025-06-16 20:48:55

While solving Skibidi Table problem, (problem link: https://mirror.codeforces.com/contest/2093/problem/D ) I was wondering How to Generate the Pattern->

Number of Rows: $$$2^n$$$

Number of Columns: $$$2^n$$$

Number of Cells: $$$2^{2n}$$$

$$$n=1:$$$

$$$1$$$ $$$4$$$

$$$3$$$ $$$2$$$

$$$n=2:$$$

$$$1$$$ $$$4$$$ $$$13$$$ $$$16$$$

$$$3$$$ $$$2$$$ $$$15$$$ $$$14$$$

$$$9$$$ $$$12$$$ $$$5$$$ $$$8$$$

$$$11$$$ $$$10$$$ $$$7$$$ $$$6$$$

$$$n=3:$$$

1   4    13   16  49  52  61  64 

3   2    15   14  51  50  63  62 

9   12   5    8   57  60  53  56 

11  10   7    6   59  58  55  54 

33  36   45   48  17  20  29  32 

35  34   47   46  19  18  31  30 

41  44   37   40  25  28  21  24 

43  42   39   38  27  26  23  22

And so on......

An idea of implementing it by Recursion came to my mind Alhamdulillah!

As for each case, we are first entering the $$$1st$$$ cell, then the $$$4th$$$ cell, then the $$$3rd$$$ cell, then $$$2nd$$$ cell. Recursively calling it, we can store the pattern in an array & print it to get the pattern!

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  Rev. Lang. By When Δ Comment
en17 English salehin_076923 2025-06-16 20:54:44 0 (published)
en16 English salehin_076923 2025-06-16 20:53:32 6
en15 English salehin_076923 2025-06-16 20:52:34 631
en14 English salehin_076923 2025-06-16 20:49:45 8 Tiny change: 'n\n\n$1$ $4$ \n\n' -> 'n\n\n$1$ $4$ \n\n'
en13 English salehin_076923 2025-06-16 20:48:55 54
en12 English salehin_076923 2025-06-16 20:46:33 18
en11 English salehin_076923 2025-06-16 20:45:17 82
en10 English salehin_076923 2025-06-16 20:43:22 390
en9 English salehin_076923 2025-06-16 20:36:59 21
en8 English salehin_076923 2025-06-16 20:35:29 4
en7 English salehin_076923 2025-06-16 20:35:10 2 Tiny change: '\n\nn=1:\n```\n1 4' -> '\n\nn=1:\n\n```\n1 4'
en6 English salehin_076923 2025-06-16 20:34:42 28 Tiny change: 'rsion.png)' -> 'rsion.png)\n\n[Link](http://mirror.codeforces.com/7ccf9d/Recursion.png)'
en5 English salehin_076923 2025-06-16 20:34:09 421 Tiny change: 'rsion.png)' -> 'rsion.png)\n\n[Link](http://mirror.codeforces.com/7ccf9d/Recursion.png)'
en4 English salehin_076923 2025-06-16 20:31:31 54 Tiny change: 'rsion.png)' -> 'rsion.png)\n\n[Link](http://mirror.codeforces.com/7ccf9d/Recursion.png)'
en3 English salehin_076923 2025-06-16 20:30:19 162
en2 English salehin_076923 2025-06-16 20:22:43 60
en1 English salehin_076923 2025-06-16 20:19:14 106 Initial revision (saved to drafts)