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第5回関東Jamboree
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Yushi Nakaya
March 26, 2018
Technology
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第5回関東Jamboree
第5回関東Jamboreeにて.チョコレートのゲームのGrundy数とその応用というタイトルで,自身が2015年に研究した成果を紹介.
Yushi Nakaya
March 26, 2018
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Transcript
νϣίϨʔτήʔϜͷ(SVOEZͱԠ༻ ౦େֶֶ෦ిؾใཧֶՊ̍ த༔ࢿ
!2
!3
!4 * νϣίϨʔτ͔Βύεϫʔυ ͜ͷΞϓϦʹ༻͍͍ͯΔٕज़ ʮνϣίϨʔτήʔϜʯΛԠ༻͍ͯ͠Δɻ
!5 νϣίϨʔτήʔϜͱʁ * νϣίϨʔτ͔Βύεϫʔυ
!6 * νϣίϨʔτ͔Βύεϫʔυ ઌखඞউʁPSޙखඞউʁ
!7 * νϣίϨʔτ͔Βύεϫʔυ ɾG(x,y)=mex ({ G(u,v); (u,v)∈move(x,y)}) ɾG(0,0) = 0
Grundyͷఆٛ
!8 * νϣίϨʔτ͔Βύεϫʔυ ᶃPQFO$7Λ༻͍ͯը૾ΛಡΈࠐΉ ᶄ(SVOEZΛ༻͍ͯྻΛੜ͢Δ ᶅύεϫʔυΛҙͷॴͰΓऔΔ ᶆྻΛ"4$**จࣈʹม͢Δ ᶇΫϦοϓϘʔυʹίϐʔʂ
!9 ᶃPQFO$7Λ༻͍ͯը૾ΛಡΈࠐΉ * νϣίϨʔτ͔Βύεϫʔυ
!10 ᶄ(SVOEZΛ༻͍ͯྻΛੜ͢Δ * νϣίϨʔτ͔Βύεϫʔυ
!11 ᶅύεϫʔυΛҙͷॴͰΓऔΔ * νϣίϨʔτ͔Βύεϫʔυ
!12 * νϣίϨʔτ͔Βύεϫʔυ ᶆྻΛ"4$**จࣈʹม͢Δ
!13 ͜ͷʮ(SVOEZʯΛগͳ͍ܭࢉྔͰٻΊΔ͜ͱ͕Ͱ͖Δ νϣίϨʔτͷඞཁे݅Λൃݟɺূ໌ͨ͠ɻ
!14 ɾύεϫʔυੜٕज़ʹ͓͍ͯɺݱࡏը૾ΛനࠇͰಡΈࠐΜ Ͱ͍Δ͕ɺࠓޙΧϥʔը૾ʹରԠͤ͞Δ͜ͱɻ