Atcoder 279G-At most 2 colors: Generating functions [Newbie Oriented].

Revision en4, by CristianoPenaldo, 2022-11-28 16:33:51

Atcoder Beginner Contest 279 is a very good place to learn generating functions. The English version tutorial of 279Ex has already been posted on the MathStackExchange by a kind person. Unfortunately, the English tutorial on 279G is not available. Now I would like to make a second-hand tutorial on 279G based on PCTprobability's idea. I spend a huge amount of time understanding this idea. For contestants at about my level, it is quite difficult to understand
the idea even if it is written in English, let alone it is written in Japanese only (My Japanese is N5 level). I will make the following contributions.

(1)Write the tutorial in English. The original tutorial is in Japanese only. (2)Fill in the details. (3)Offer an accepted implementation.

I hope you and I can learn a lot from my blog.

Tags combinatorics, generating function

History

 
 
 
 
Revisions
 
 
  Rev. Lang. By When Δ Comment
en48 English CristianoPenaldo 2022-11-29 06:22:07 10 Tiny change: 'he sum of segmen' -> 'he sum of length of segmen'
en47 English CristianoPenaldo 2022-11-28 20:37:43 40 Tiny change: 'unction). The Eng' -> 'unction). GFs could solve two of them (G and Ex). The Eng'
en46 English CristianoPenaldo 2022-11-28 20:26:58 2 Tiny change: '36865779\nCore cod' -> '36865779\n\nCore cod'
en45 English CristianoPenaldo 2022-11-28 20:23:46 2 Tiny change: 'e(n-1); //inverse!\n ' -> 'e(n-1); //Inverse!\n '
en44 English CristianoPenaldo 2022-11-28 20:23:20 137
en43 English CristianoPenaldo 2022-11-28 20:16:33 43
en42 English CristianoPenaldo 2022-11-28 19:46:39 6 Tiny change: 'orem).\n\nAnd the most im' -> 'orem).\n\nThe most im'
en41 English CristianoPenaldo 2022-11-28 19:43:34 5 Tiny change: '-2}]\frac{1}{(C-2)x^K' -> '-2}]\frac{C(C-1)}{(C-2)x^K'
en40 English CristianoPenaldo 2022-11-28 19:29:15 250 (published)
en39 English CristianoPenaldo 2022-11-28 19:25:12 927
en38 English CristianoPenaldo 2022-11-28 19:16:47 14
en37 English CristianoPenaldo 2022-11-28 19:15:16 14
en36 English CristianoPenaldo 2022-11-28 19:14:35 199
en35 English CristianoPenaldo 2022-11-28 19:10:22 82
en34 English CristianoPenaldo 2022-11-28 19:08:59 84
en33 English CristianoPenaldo 2022-11-28 19:08:14 9 Tiny change: 'ag{5}$\n\n$\sum\' -> 'ag{5}$\n\nAnd, \n\n$\sum\'
en32 English CristianoPenaldo 2022-11-28 19:06:51 42
en31 English CristianoPenaldo 2022-11-28 19:05:30 128
en30 English CristianoPenaldo 2022-11-28 19:03:06 296
en29 English CristianoPenaldo 2022-11-28 18:59:14 647
en28 English CristianoPenaldo 2022-11-28 18:52:33 514
en27 English CristianoPenaldo 2022-11-28 18:45:35 139
en26 English CristianoPenaldo 2022-11-28 18:42:58 200
en25 English CristianoPenaldo 2022-11-28 18:40:36 77
en24 English CristianoPenaldo 2022-11-28 18:38:58 286
en23 English CristianoPenaldo 2022-11-28 18:36:38 741
en22 English CristianoPenaldo 2022-11-28 18:26:28 261
en21 English CristianoPenaldo 2022-11-28 18:21:14 10 Tiny change: '1}{1-2x}$ as $\sum\lim' -> '1}{1-2x}$ to $\sum\lim'
en20 English CristianoPenaldo 2022-11-28 18:19:57 358
en19 English CristianoPenaldo 2022-11-28 18:16:43 680
en18 English CristianoPenaldo 2022-11-28 18:04:09 13 Tiny change: 'I believe most newbies can under' -> 'I believe you can under'
en17 English CristianoPenaldo 2022-11-28 18:03:41 5 Tiny change: 'I believe than most newb' -> 'I believe most newb'
en16 English CristianoPenaldo 2022-11-28 18:03:16 221
en15 English CristianoPenaldo 2022-11-28 18:01:02 53
en14 English CristianoPenaldo 2022-11-28 17:36:43 313
en13 English CristianoPenaldo 2022-11-28 17:28:37 150
en12 English CristianoPenaldo 2022-11-28 17:20:53 383
en11 English CristianoPenaldo 2022-11-28 17:17:25 608
en10 English CristianoPenaldo 2022-11-28 17:11:29 7
en9 English CristianoPenaldo 2022-11-28 17:11:05 105
en8 English CristianoPenaldo 2022-11-28 17:09:36 6
en7 English CristianoPenaldo 2022-11-28 17:09:05 167
en6 English CristianoPenaldo 2022-11-28 17:06:21 274
en5 English CristianoPenaldo 2022-11-28 17:05:04 524
en4 English CristianoPenaldo 2022-11-28 16:33:51 284
en3 English CristianoPenaldo 2022-11-28 16:31:38 487
en2 English CristianoPenaldo 2022-11-28 16:26:30 221
en1 English CristianoPenaldo 2022-11-28 16:23:40 360 Initial revision (saved to drafts)