Upgrade to Pro
— share decks privately, control downloads, hide ads and more …
Speaker Deck
Features
Speaker Deck
PRO
Sign in
Sign up for free
Search
Search
Queen問題の変形の必勝法
Search
Sponsored
·
Your Podcast. Everywhere. Effortlessly.
Share. Educate. Inspire. Entertain. You do you. We'll handle the rest.
→
Yushi Nakaya
January 31, 2016
Science
75
0
Share
Queen問題の変形の必勝法
サイエンスフェアin兵庫 にて．
2016年1月31日(神戸国際会議場 , 兵庫県)
Yushi Nakaya
January 31, 2016
More Decks by Yushi Nakaya
See All by Yushi Nakaya
WBA LT20201129
ynntech
0
110
全脳アーキテクチャ若手の会 東北支部 第二回LT
ynntech
0
110
Spajam 2018 仙台予選 「DETECTIVE NANAKO」
ynntech
0
150
第5回関東Jamboree
ynntech
0
84
Pascal-like triangle of Russian Roulette @19th meeting with USTB &Tohoku University
ynntech
0
110
ロシアンルーレット式確率ゲームに現れる Pascal-like triangle に関する研究 ~確率的ゲームの美しい規則性~
ynntech
0
110
Pascal-Like Triangles and Fibonacci-Like Sequences
ynntech
0
140
ゲーム理論ってなんだろう？
ynntech
0
80
PDPH既往患者への帝王切開 に対する麻酔法の提案
ynntech
0
130
Other Decks in Science
See All in Science
主成分分析に基づく教師なし特徴抽出法を用いたコラーゲン-グリコサミノグリカンメッシュの遺伝子発現への影響
tagtag
PRO
0
250
機械学習 - 決定木からはじめる機械学習
trycycle
PRO
0
1.4k
因果推論と機械学習
sshimizu2006
1
1.1k
Algorithmic Aspects of Quiver Representations
tasusu
0
340
HajimetenoLT vol.17
hashimoto_kei
1
230
MATSUO Makiko
genomethica
0
140
人生を変えた一冊「独学大全」のはなし / Self-study ENCYCLOPEDIA: The Book Which Change My Life #独学大全 #EM推し本
expajp
0
160
検索と推論タスクに関する論文の紹介
ynakano
1
220
2026 Design Informatics 01: Introduction
kanaya
0
120
People who frequently use ChatGPT for writing tasks are accurate and robust detectors of AI-generated text
rudorudo11
0
250
AI(人工知能)の過去・現在・未来 —AIは人間を超えるのか—
tagtag
PRO
0
190
データベース06: SQL (3/3) 副問い合わせ
trycycle
PRO
1
800
Featured
See All Featured
Dealing with People You Can't Stand - Big Design 2015
cassininazir
367
27k
Breaking role norms: Why Content Design is so much more than writing copy - Taylor Woolridge
uxyall
0
290
KATA
mclloyd
PRO
35
15k
Conquering PDFs: document understanding beyond plain text
inesmontani
PRO
4
2.7k
[RailsConf 2023] Rails as a piece of cake
palkan
59
6.6k
Mozcon NYC 2025: Stop Losing SEO Traffic
samtorres
0
230
Balancing Empowerment & Direction
lara
6
1.1k
Automating Front-end Workflow
addyosmani
1370
210k
The Cost Of JavaScript in 2023
addyosmani
55
9.9k
CoffeeScript is Beautiful & I Never Want to Write Plain JavaScript Again
sstephenson
162
16k
A Modern Web Designer's Workflow
chriscoyier
698
190k
Money Talks: Using Revenue to Get Sh*t Done
nikkihalliwell
0
230
Transcript
த༔ࢿɾށᅳ༑وɾᖒଠஐɾ খྛ༏ేɾࠤʑ༤࢘ ୈ8ճ αΠΤϯεϑΣΞ in ฌݿ @ਆށࠃࡍలࣔ(2016/1/31) Queenͷมܗͷඞউ๏ νʔϜ൪߸:B8
!2 Queenͱʁ
!3 Corner the Queen
!4 Corner the Queen ༻ҙ͢ΔͷɾɾɾνΣε൫ , Queenͷۨ̍ͭ
!5 Corner the Queen 2 ਓ͕ަޓʹνΣε൫্ͷQueenΛಈ͔͢ ࠨ্ʹ࣋ͬͯߦͬͨϓϨΠϠͷউͪ
!6
!7
!8
!9 Corner the Queen ϓϨΠϠʔ̍ ͷλʔϯ
!10 Corner the Queen ϓϨΠϠʔ̍ ͷλʔϯ
!11 Corner the Queen ϓϨΠϠʔ2 ͷλʔϯ
!12 Corner the Queen ϓϨΠϠʔ1 ͷλʔϯ
!13 Corner the Queen ϓϨΠϠʔ1 ͷউͪ
!14 x y
!15 x y ࠲ඪΛ(x,y)=(0,0)ͱఆٛ͢Δɻ
!16 x y x࠲ඪ
2
!17 x y y࠲ඪ
1
!18 x y ࠲ඪ(2,1)
!19 x y ࠲ඪ
(0,2)
!20
!21 ඞউ๏Λߟ͑Δ্ͰɺGrundyΛ༻͍Δɻ
!22 G(x,y)=Mex ({ G(u,v); (u,v)∈move(x,y)}) G(0,0)=0 ŋŋŋ ݪͷGrundy0 Grundyͷఆٛ (x,y)ͷҠಈઌʹͳ͍࠷খͷෛͰͳ͍
!23 0ͱఆٛ͢Δ
!24
!25
!26 ߦ͖ઌʹͳ͍ ࠷খͷෛͰͳ͍
!27 ࠓճ̌Λআ͘ ࠷খͷෛͰͳ͍
!28 Grundy 1ͱͳΔ
!29
!30
!31
!32
!33 ࠓճ0,1Λআ͘ ࠷খͷෛͰͳ͍
!34
!35
!36
!37
!38
!39 ࠓճ1,2Λআ͘ ࠷খͷෛͰͳ͍
!40
!41
!42
!43
!44
!45
!46
!47
!48
!49
!50
!51
!52 0͔Β0Ҏ֎ͷ Grundyͷॏཁͳੑ࣭
!53 Grundyͷॏཁͳੑ࣭
0Ҏ֎͔Β0ಈ͚Δ
!54 0 1 2 3 4 5 1 2 0
4 5 3 2 0 1 5 3 4 3 4 5 6 2 0 4 5 3 2 7 6 5 3 4 0 6 8
!55 x<yͷͱ͖ (Floor[φ*n] ,Floor[φ*n]+n) n=0,1,2… x≥yͷͱ͖ (Floor[φ*n] ,Floor[φ*n]+n) n=0,1,2… ͨͩ͠ɺφΛԫۚൺͱ͢Δ
!56 2VFFOͰύεΛ͍ΕͨΒ Ͳ͏ͳΔ͔Λߟ͑ͨ ͜ͷςʔϚΛݚڀͨ͠ͷ ࢲୡ͕ੈքͰ࠷ॳͰ͢
!57 ύε͖ͷQueen w ύεͷఆٛ w ਓͰճ͔͠ύε͕͑ͳ͍ w ͕ۨ\ ^ʹߦ͘ͱύεͰ͖ͳ͍
!58 ϓϨΠϠ ͕ ࠓ͔Βಈ͔͢ ύεΓ
!59 ϓϨΠϠ ͕ ࠓ͔Βಈ͔͢ ύεΓ
!60 ϓϨΠϠ ͕ ࠓ͔Βಈ͔͢ ύεΓ
!61 ϓϨΠϠ ͕ ࠓ͔Βಈ͔͢ ύεΓ
!62 ϓϨΠϠ ͷ উͪ ύεΓ
!63 ύεͳ͠ ύε͖ͭ
!64 ͜ͷֶతূ໌·ͩಘ͍ͯͳ͍
!65 কعͷۨΛ༻͍ͨQueen
!66 ཾഅΛ༻͍ͨ߹ ͜ͷςʔϚΛݚڀͨ͠ͷ ࢲୡ͕ੈքͰ࠷ॳͰ͢
!67 Δ
!68
!69
!70
!71 0 1 2 3 4 5 6 7 8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 1 1 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 2 0 3 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 3 1 2 0 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 4 0 3 1 2 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 5 1 2 0 3 5 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 6 0 3 1 2 4 7 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 7 1 2 0 3 5 6 4 7 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 7 8 0 3 1 2 4 7 5 6 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 9 1 2 0 3 5 6 4 7 9 10 11 10 11 10 11 10 11 10 11 10 11 10 11 10 11 10 10 0 3 1 2 4 7 5 6 8 11 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 11 1 2 0 3 5 6 4 7 9 10 8 11 10 11 10 11 10 11 10 11 10 11 10 11 10 11 12 0 3 1 2 4 7 5 6 8 11 9 10 12 13 12 13 12 13 12 13 12 13 12 13 12 13 13 1 2 0 3 5 6 4 7 9 10 8 11 13 14 15 14 15 14 15 14 15 14 15 14 15 14 14 0 3 1 2 4 7 5 6 8 11 9 10 12 15 13 12 13 12 13 12 13 12 13 12 13 12 15 1 2 0 3 5 6 4 7 9 10 8 11 13 14 12 15 14 15 14 15 14 15 14 15 14 15 16 0 3 1 2 4 7 5 6 8 11 9 10 12 15 13 14 16 17 16 17 16 17 16 17 16 17 17 1 2 0 3 5 6 4 7 9 10 8 11 13 14 12 15 17 18 19 18 19 18 19 18 19 18 18 0 3 1 2 4 7 5 6 8 11 9 10 12 15 13 14 16 19 17 16 17 16 17 16 17 16 19 1 2 0 3 5 6 4 7 9 10 8 11 13 14 12 15 17 18 16 19 18 19 18 19 18 19 20 0 3 1 2 4 7 5 6 8 11 9 10 12 15 13 14 16 19 17 18 20 21 20 21 20 21 21 1 2 0 3 5 6 4 7 9 10 8 11 13 14 12 15 17 18 16 19 21 22 23 22 23 22 22 0 3 1 2 4 7 5 6 8 11 9 10 12 15 13 14 16 19 17 18 20 23 21 20 21 20 23 1 2 0 3 5 6 4 7 9 10 8 11 13 14 12 15 17 18 16 19 21 22 20 23 22 23 24 0 3 1 2 4 7 5 6 8 11 9 10 12 15 13 14 16 19 17 18 20 23 21 22 24 25 25 1 2 0 3 5 6 4 7 9 10 8 11 13 14 12 15 17 18 16 19 21 22 20 23 25 26
!72 ެࣜ
!73 0 1 2 3 4 5 6 7 8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 0 2 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 2 1 0 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 1 0 2 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 3 0 3 1 4 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 4 1 2 0 3 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 0 3 1 2 4 3 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 1 2 0 3 5 6 7 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 7 0 3 1 2 4 7 5 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 8 1 2 0 3 5 6 4 7 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 0 3 1 2 4 7 5 6 8 11 10 11 10 11 10 11 10 11 10 11 10 11 10 11 10 11 10 1 2 0 3 5 6 4 7 9 10 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 11 0 3 1 2 4 7 5 6 8 11 9 10 11 10 11 10 11 10 11 10 11 10 11 10 11 10 12 1 2 0 3 5 6 4 7 9 10 8 11 13 12 13 12 13 12 13 12 13 12 13 12 13 12 13 0 3 1 2 4 7 5 6 8 11 9 10 12 15 14 15 14 15 14 15 14 15 14 15 14 15 14 1 2 0 3 5 6 4 7 9 10 8 11 13 14 12 13 12 13 12 13 12 13 12 13 12 13 15 0 3 1 2 4 7 5 6 8 11 9 10 12 15 13 14 15 14 15 14 15 14 15 14 15 14 16 1 2 0 3 5 6 4 7 9 10 8 11 13 14 12 15 17 16 17 16 17 16 17 16 17 16 17 0 3 1 2 4 7 5 6 8 11 9 10 12 15 13 14 16 19 18 19 18 19 18 19 18 19 18 1 2 0 3 5 6 4 7 9 10 8 11 13 14 12 15 17 18 16 17 16 17 16 17 16 17 19 0 3 1 2 4 7 5 6 8 11 9 10 12 15 13 14 16 19 17 18 19 18 19 18 19 18 20 1 2 0 3 5 6 4 7 9 10 8 11 13 14 12 15 17 18 16 19 21 20 21 20 21 20 21 0 3 1 2 4 7 5 6 8 11 9 10 12 15 13 14 16 19 17 18 20 23 22 23 22 23 22 1 2 0 3 5 6 4 7 9 10 8 11 13 14 12 15 17 18 16 19 21 22 20 21 20 21 23 0 3 1 2 4 7 5 6 8 11 9 10 12 15 13 14 16 19 17 18 20 23 21 22 23 22 24 1 2 0 3 5 6 4 7 9 10 8 11 13 14 12 15 17 18 16 19 21 22 20 23 25 24 25 0 3 1 2 4 7 5 6 8 11 9 10 12 15 13 14 16 19 17 18 20 23 21 22 24 27
!74 ެࣜ
!75 y≤zͷͱ͖ yʼzͷͱ͖
!76 GrundyͷۮحੑΛௐͨ
!77 QueenͷGrundy
!78 0 1 2 3 4 5 6 7 8
9 10 11 12 13 14 15 16 17 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 1 2 0 4 5 3 7 8 6 10 11 9 13 14 12 16 17 15 2 2 0 1 5 3 4 8 6 7 11 9 10 14 12 13 17 15 16 3 3 4 5 6 2 0 1 9 10 12 8 7 15 11 16 18 14 13 4 4 5 3 2 7 6 9 0 1 8 13 12 11 16 15 10 19 18 5 5 3 4 0 6 8 10 1 2 7 12 14 9 15 17 13 18 11 6 6 7 8 1 9 10 3 4 5 13 0 2 16 17 18 12 20 14 7 7 8 6 9 0 1 4 5 3 14 15 13 17 2 10 19 21 12 8 8 6 7 10 1 2 5 3 4 15 16 17 18 0 9 14 12 19 9 9 10 11 12 8 7 13 14 15 16 17 6 19 5 1 0 2 3 10 10 11 9 8 13 12 0 15 16 17 14 18 7 6 2 3 1 4 11 11 9 10 7 12 14 2 13 17 6 18 15 8 19 20 21 4 5 12 12 13 14 15 11 9 16 17 18 19 7 8 10 20 21 22 6 23 13 13 14 12 11 16 15 17 2 0 5 6 19 20 9 7 8 10 22 14 14 12 13 16 15 17 18 10 9 1 2 20 21 7 11 23 22 8 15 15 16 17 18 10 13 12 19 14 0 3 21 22 8 23 20 9 24 16 16 17 15 14 19 18 20 21 12 2 1 4 6 10 22 9 13 25 17 17 15 16 13 18 11 14 12 19 3 4 5 23 22 8 24 25 21 18 18 19 20 21 17 16 15 22 23 4 5 0 3 24 25 7 11 26 19 19 20 18 17 14 21 11 16 24 22 23 1 5 4 26 27 28 10 20 20 18 19 22 21 23 24 25 26 27 28 3 0 1 29 11 30 9 21 21 22 23 24 20 19 25 11 27 28 26 16 1 29 3 30 31 32 22 22 23 21 20 25 24 26 18 28 29 27 30 2 31 4 32 33 34 23 23 21 22 19 24 26 27 28 11 18 20 25 4 3 0 2 29 31 24 24 25 26 27 23 22 21 29 13 20 19 28 30 32 5 6 34 33 25 25 26 24 23 28 27 29 30 21 31 22 32 33 34 6 1 5 20
!79 ཾഅͷGrundy
!80 0 1 2 3 4 5 6 7 8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 1 1 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 2 0 3 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 3 1 2 0 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 4 0 3 1 2 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 5 1 2 0 3 5 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 6 0 3 1 2 4 7 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 7 1 2 0 3 5 6 4 7 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 7 8 0 3 1 2 4 7 5 6 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 9 1 2 0 3 5 6 4 7 9 10 11 10 11 10 11 10 11 10 11 10 11 10 11 10 11 10 10 0 3 1 2 4 7 5 6 8 11 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 11 1 2 0 3 5 6 4 7 9 10 8 11 10 11 10 11 10 11 10 11 10 11 10 11 10 11 12 0 3 1 2 4 7 5 6 8 11 9 10 12 13 12 13 12 13 12 13 12 13 12 13 12 13 13 1 2 0 3 5 6 4 7 9 10 8 11 13 14 15 14 15 14 15 14 15 14 15 14 15 14 14 0 3 1 2 4 7 5 6 8 11 9 10 12 15 13 12 13 12 13 12 13 12 13 12 13 12 15 1 2 0 3 5 6 4 7 9 10 8 11 13 14 12 15 14 15 14 15 14 15 14 15 14 15 16 0 3 1 2 4 7 5 6 8 11 9 10 12 15 13 14 16 17 16 17 16 17 16 17 16 17 17 1 2 0 3 5 6 4 7 9 10 8 11 13 14 12 15 17 18 19 18 19 18 19 18 19 18 18 0 3 1 2 4 7 5 6 8 11 9 10 12 15 13 14 16 19 17 16 17 16 17 16 17 16 19 1 2 0 3 5 6 4 7 9 10 8 11 13 14 12 15 17 18 16 19 18 19 18 19 18 19 20 0 3 1 2 4 7 5 6 8 11 9 10 12 15 13 14 16 19 17 18 20 21 20 21 20 21 21 1 2 0 3 5 6 4 7 9 10 8 11 13 14 12 15 17 18 16 19 21 22 23 22 23 22 22 0 3 1 2 4 7 5 6 8 11 9 10 12 15 13 14 16 19 17 18 20 23 21 20 21 20 23 1 2 0 3 5 6 4 7 9 10 8 11 13 14 12 15 17 18 16 19 21 22 20 23 22 23 24 0 3 1 2 4 7 5 6 8 11 9 10 12 15 13 14 16 19 17 18 20 23 21 22 24 25 25 1 2 0 3 5 6 4 7 9 10 8 11 13 14 12 15 17 18 16 19 21 22 20 23 25 26
!81 ύε͖ͷཾഅͷGrundy
!82 0 1 2 3 4 5 6 7 8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 0 2 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 2 1 0 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 1 0 2 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 3 0 3 1 4 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 4 1 2 0 3 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 0 3 1 2 4 3 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 1 2 0 3 5 6 7 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 7 0 3 1 2 4 7 5 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 7 6 8 1 2 0 3 5 6 4 7 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 0 3 1 2 4 7 5 6 8 11 10 11 10 11 10 11 10 11 10 11 10 11 10 11 10 11 10 1 2 0 3 5 6 4 7 9 10 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 11 0 3 1 2 4 7 5 6 8 11 9 10 11 10 11 10 11 10 11 10 11 10 11 10 11 10 12 1 2 0 3 5 6 4 7 9 10 8 11 13 12 13 12 13 12 13 12 13 12 13 12 13 12 13 0 3 1 2 4 7 5 6 8 11 9 10 12 15 14 15 14 15 14 15 14 15 14 15 14 15 14 1 2 0 3 5 6 4 7 9 10 8 11 13 14 12 13 12 13 12 13 12 13 12 13 12 13 15 0 3 1 2 4 7 5 6 8 11 9 10 12 15 13 14 15 14 15 14 15 14 15 14 15 14 16 1 2 0 3 5 6 4 7 9 10 8 11 13 14 12 15 17 16 17 16 17 16 17 16 17 16 17 0 3 1 2 4 7 5 6 8 11 9 10 12 15 13 14 16 19 18 19 18 19 18 19 18 19 18 1 2 0 3 5 6 4 7 9 10 8 11 13 14 12 15 17 18 16 17 16 17 16 17 16 17 19 0 3 1 2 4 7 5 6 8 11 9 10 12 15 13 14 16 19 17 18 19 18 19 18 19 18 20 1 2 0 3 5 6 4 7 9 10 8 11 13 14 12 15 17 18 16 19 21 20 21 20 21 20 21 0 3 1 2 4 7 5 6 8 11 9 10 12 15 13 14 16 19 17 18 20 23 22 23 22 23 22 1 2 0 3 5 6 4 7 9 10 8 11 13 14 12 15 17 18 16 19 21 22 20 21 20 21 23 0 3 1 2 4 7 5 6 8 11 9 10 12 15 13 14 16 19 17 18 20 23 21 22 23 22 24 1 2 0 3 5 6 4 7 9 10 8 11 13 14 12 15 17 18 16 19 21 22 20 23 25 24 25 0 3 1 2 4 7 5 6 8 11 9 10 12 15 13 14 16 19 17 18 20 23 21 22 24 27
ۨʹΑͬͯGrundyͷ ۮحੑ͕ҧ͏ !83
!84 ཾԦΛ༻͍ͨ߹ ͜ͷςʔϚΛݚڀͨ͠ͷ ࢲୡ͕ੈքͰ࠷ॳͰ͢
!85 Δ
!86
!87
!88
!89 0 1 2 3 4 5 6 7 8
9 10 11 12 13 14 15 16 17 18 19 20 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 1 2 0 4 5 3 7 8 6 10 11 9 13 14 12 16 17 15 19 20 18 2 2 0 1 5 3 4 8 6 7 11 9 10 14 12 13 17 15 16 20 18 19 3 3 4 5 0 1 2 9 10 11 6 7 8 15 16 17 12 13 14 21 22 23 4 4 5 3 1 2 0 10 11 9 7 8 6 16 17 15 13 14 12 22 23 21 5 5 3 4 2 0 1 11 9 10 8 6 7 17 15 16 14 12 13 23 21 22 6 6 7 8 9 10 11 0 1 2 3 4 5 18 19 20 21 22 23 12 13 14 7 7 8 6 10 11 9 1 2 0 4 5 3 19 20 18 22 23 21 13 14 12 8 8 6 7 11 9 10 2 0 1 5 3 4 20 18 19 23 21 22 14 12 13 9 9 10 11 6 7 8 3 4 5 0 1 2 21 22 23 18 19 20 15 16 17 10 10 11 9 7 8 6 4 5 3 1 2 0 22 23 21 19 20 18 16 17 15 11 11 9 10 8 6 7 5 3 4 2 0 1 23 21 22 20 18 19 17 15 16 12 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 13 13 14 12 16 17 15 19 20 18 22 23 21 1 2 0 4 5 3 7 8 6 14 14 12 13 17 15 16 20 18 19 23 21 22 2 0 1 5 3 4 8 6 7 15 15 16 17 12 13 14 21 22 23 18 19 20 3 4 5 0 1 2 9 10 11 16 16 17 15 13 14 12 22 23 21 19 20 18 4 5 3 1 2 0 10 11 9 17 17 15 16 14 12 13 23 21 22 20 18 19 5 3 4 2 0 1 11 9 10 18 18 19 20 21 22 23 12 13 14 15 16 17 6 7 8 9 10 11 0 1 2 19 19 20 18 22 23 21 13 14 12 16 17 15 7 8 6 10 11 9 1 2 0 20 20 18 19 23 21 22 14 12 13 17 15 16 8 6 7 11 9 10 2 0 1
!90 දͷGrundy͔Β ΛҾ͘ͱ ...
!91 0 1 2 3 4 5 6 7 8
9 10 11 12 13 14 15 16 17 18 19 20 0 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 1 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 2 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 3 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 4 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 5 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 6 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 7 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 8 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 9 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 10 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 11 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 12 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 13 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 14 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 15 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 16 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 17 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 18 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 19 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 20 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1
!92 Corner the Queen ʙQueenʙ
ࠓޙͷల !93 ɾࠓճհͨ͠ͷΛֶͯ͢తʹূ໌͢Δ͜ͱ ɾݹయকعͳͲͷۨͷGrundyͷੑ࣭ͷ୳ٻ ɾֶతήʔϜͷεϚϗΞϓϦ੍࡞
ynntech
tagtag
trycycle
sshimizu2006
tasusu
hashimoto_kei
genomethica
expajp
ynakano
kanaya
rudorudo11
cassininazir
uxyall
mclloyd
inesmontani
palkan
samtorres
lara
addyosmani
sstephenson
chriscoyier
nikkihalliwell
![!55 x<yͷͱ͖ (Floor[φ*n] ,Floor[φ*n]+n) n=0,1,2… x≥yͷͱ͖ (Floor[φ*n] ,Floor[φ*n]+n) n=0,1,2… ͨͩ͠ɺφΛԫۚൺͱ͢Δ](https://files.speakerdeck.com/presentations/f35ae9e1535e4640ac622d1a0c599f35/slide_54.jpg){kind=link}
