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
Yushi Nakaya
January 31, 2016
Science
0
69
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
Tweet
Share
More Decks by Yushi Nakaya
See All by Yushi Nakaya
WBA LT20201129
ynntech
0
89
全脳アーキテクチャ若手の会 東北支部 第二回LT
ynntech
0
97
Spajam 2018 仙台予選 「DETECTIVE NANAKO」
ynntech
0
140
第5回関東Jamboree
ynntech
0
64
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
100
Pascal-Like Triangles and Fibonacci-Like Sequences
ynntech
0
140
ゲーム理論ってなんだろう？
ynntech
0
64
PDPH既往患者への帝王切開 に対する麻酔法の提案
ynntech
0
100
Other Decks in Science
See All in Science
サイコロで理解する原子核崩壊と拡散現象 〜単純化されたモデルで本質を理解する〜
syotasasaki593876
0
100
データベース03: 関係データモデル
trycycle
PRO
1
280
SciPyDataJapan 2025
schwalbe10
0
270
論文紹介 音源分離:SCNET SPARSE COMPRESSION NETWORK FOR MUSIC SOURCE SEPARATION
kenmatsu4
0
350
DMMにおけるABテスト検証設計の工夫
xc6da
1
1.2k
データから見る勝敗の法則 / The principle of victory discovered by science (open lecture in NSSU)
konakalab
1
200
深層学習を用いた根菜類の個数カウントによる収量推定法の開発
kentaitakura
0
200
データベース15: ビッグデータ時代のデータベース
trycycle
PRO
0
370
Optimization of the Tournament Format for the Nationwide High School Kyudo Competition in Japan
konakalab
0
110
Accelerated Computing for Climate forecast
inureyes
0
120
データベース06: SQL (3/3) 副問い合わせ
trycycle
PRO
1
650
07_浮世満理子_アイディア高等学院学院長_一般社団法人全国心理業連合会代表理事_紹介資料.pdf
sip3ristex
0
660
Featured
See All Featured
Context Engineering - Making Every Token Count
addyosmani
8
310
CSS Pre-Processors: Stylus, Less & Sass
bermonpainter
359
30k
Leading Effective Engineering Teams in the AI Era
addyosmani
7
650
Speed Design
sergeychernyshev
32
1.2k
Building Better People: How to give real-time feedback that sticks.
wjessup
369
20k
Designing for humans not robots
tammielis
254
26k
Design and Strategy: How to Deal with People Who Don’t "Get" Design
morganepeng
132
19k
Documentation Writing (for coders)
carmenintech
75
5.1k
Principles of Awesome APIs and How to Build Them.
keavy
127
17k
For a Future-Friendly Web
brad_frost
180
10k
JavaScript: Past, Present, and Future - NDC Porto 2020
reverentgeek
52
5.7k
The Art of Delivering Value - GDevCon NA Keynote
reverentgeek
16
1.7k
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
syotasasaki593876
trycycle
schwalbe10
kenmatsu4
xc6da
konakalab
kentaitakura
inureyes
sip3ristex
addyosmani
bermonpainter
sergeychernyshev
wjessup
tammielis
morganepeng
carmenintech
keavy
brad_frost
reverentgeek
![!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}
