🚀 go-pugleaf

  $@0f>e!wBg:eI\N)9b@l$G$9!#9qFbM=A*$NLdBj$r0lIt$H$$$F$_$^$7$?!#0lIt$G$9!#(J

In article <MARUYAMA.93Jan15161522@sunnm.ism.ac.jp> maruyama@ism.ac.jp writes:
>$n^2$ $@$r(J 120 $@$G3d$k$H(J1$@M>$k$h$&$J!"(J 120 $@0J2<$N@5@0?t(J
>$n$ $@$O$$$/$D$"$k$+!#(J

  $@#1#2#0!a#8!_#3!_#5$J$N$G!"(Jn^2$@$O#8!"#3!"#5$G3d$C$?$"$^$j$,#1!#$H$J$k$H(J
n$@$O#8$G3d$C$F$"$^$j$,#1!"#3!"#5!"#7$@$7!"#3$G#1!"#2!"$=$7$F#5$G#1!"#4!#(J
$@$=$l$>$l$N$"$^$j$r(Ja,b,c$@$H$9$k$H!"(Jn+3*5a-8*5b+8*3c$@$,#1#2#0$G3d$l$k!#$H$$(J
$@$&$3$H$O!"$=$s$J(Jn$@$O#1$+$i#1#2#0$^$G$K$A$g$&$I$R$H$D$7$+$J$$$N$G!"(J
$@#4!_#2!_#2$G!"#1#68D!#(J

>$@0lNs$K(J12$@6h2h$K6h@Z$i$l$?Cs<V>l$,$"$j!">hMQ<V$O(J1$@6h2h!"%H(J
>$@%i%C%/$OO"B3$7$?(J2$@6h2h$rI,MW$H$9$k!#(J6$@Bf$N>hMQ<V$H(J2$@Bf$N%H(J
>$@%i%C%/$,Cs<V$7$F$$$F!"$5$i$K%H%i%C%/(J1$@Bf$,Cs<V$G$-$k6u$-(J
>$@6h2h$,$"$k!#$3$N$h$&$K>hMQ<V$H%H%i%C%/$rCs<V6h2h$KCs<V$9$k(J
>$@%Q%?!<%s$O2?DL$j$"$k$+!#$?$@$73F>hMQ<V!"3F%H%i%C%/$O6hJL(J
>$@$7$J$$!#(J

  $@7k6I#6!\#2!\#1!J6u$-!K$G#96h2h$r#6!"#2!"#1$KJ,$1$k$N$@$+$i!"(J
$@!J#6!"#2!"#1!K!a#2#5#2DL$j!#(J

>$@BN@Q(J1$@$N@5(J4$@LLBN$K$*$$$F!"3FLL$H!"3FJU$N?bD>FsEyJ,J?LL$G0O$^$l$k(J
>$@:G$b>.$5$$ItJ,$NBN@Q$r5a$a$h!#(J

  $@$3$l$O?^$rCzG+$K=q$$$F!"#1!?#2#4$G$7$g$&$+!#A4It$G#2#48D$N>.JR$K$o$+$l!"(J
$@A4ItBN@Q0l=o$G$O$J$$$G$7$g$&$+!"7A$O0c$&$,!#(J

>$@:BI8J?LL>e$N(J3$@E@(J$(0,0)$, $(276,153)$, $(a,b)$ 
>$@$rD:E@$H$9$k;03Q7A$NLL@Q$,(J2$@0J2<$K$J$k$h$&$K!"(J
>$@@5@0?t(J $a,b$ $@$rA*$V!#(J
>$@$3$N$h$&$JE@(J$(a,b)$$@$N$&$A!"(J
>$@86E@$K:G$b6a$$$b$N$r5a$a$h!#(J

  $@#2#7#6$H#1#5#3$N:GBg8xLs?t$,#3$J$N$G!"!J#0!"#0!K!"!J#9#2!"#5#1!K$H!"(J
$@!J(Ja,b$@!K$r9M$($^$9$H!"$=$NBN@Q$O#2!?#30J2<$G$9$,!"30@Q$r;H$C$F!"$3$l$,H>(J
$@@0?t$H$J$j$^$9$N$G!"#1!?#2$H!#$G!"!C#5#1#a!]#9#2#b!C!a#1$H!"(J
$@#5#1!_#9!a#4#5#9!a#9#2!_#5!]#1$G$9$+$i!"!J#9!"#5!K$G$9!#!J>e5-$N@dBPCM(J
$@$N>r7o$+$i!"B>$N#a!"#b$O(Jmod$@#9#2$G!"@dBPCM#9!"(Jmod$@#5#1$G@dBPCM#5$H!#$@$+(J
$@$iBg$-2a$.$^$9!#!K(J

>$@0lJU$ND9$5$,(J1$@$N@5J}7A(JABCD$@Fb$NG$0U$NE@$r(JP,Q$@$H$9$k$H$-!"(J\par
>\hskip15mm$\displaystyle{\mathrm{ AP}+\mathrm{ BP}+\mathrm{ PQ}+\mathrm{ CQ}+\mathrm{ DQ}}$\par
>\noindent $@$N:G>.CM$r5a$a$h!#(J}

  $@3FJU$NCfE@$r(JAB$@$+$i!"(JEFGH$@$H$7!"@5J}7A$NCf?4$r(JO$@$H$9$k!#(JAB$@$r>GE@$H$7!"(JP
$@$rDL$kBJ1_$H!"(JCDQ$@$GF1MM$JBJ1_$r9M$($k$H!"(JPQ$@$O(JEG$@>e$K$"$k$H$o$+$k!#$^$?!"(J
FG$@$GBP>N$G$J$/$F$O$J$i$J$$$N$G!"7k6I;03Q7A(JABO$@$G9M$($k!#$G!"$3$3$+$i$O$A$g$C(J
$@$H$$$+$s$N$G$9$,!"3Q(JPAB$@$r&H$H$7$F!"HyJ,$7$F9M$(!"&H$,#3#0EY$H$J$j$^$9!#(J
$@$b$H$b$H$N:G>.CM$NB8:_$O!"%3%s%Q%/%H6u4V$+$i$NO"B3<LA|$H$J$k$+$i$G$9!#(J

>$@=89g(J$ A=\{1,2,3,4,5,6,7\}$ $@$+$i(J $A$ $@$X$N<LA|(J $f$ $@$G!"(J
>$@<!$N>r7o(J (1),(2) $@$r$_$?$9$b$N$O!"$$$/$D$"$k$+!#(J
>\begin{description}
>\item[ ]  (1) \ $@3F(J$j \in { A}$ $@$KBP$7$F!"(J
>  $j=f(k)$ $@$H$J$k(J $k \in { A}$ $@$,M#0l$D$"$j!"(J
>$@$7$+$b(J $k \neq j$ $@$G$"$k!#(J
>\item[ ]  (2) \ $A$$@$+$i(J$A$$@$X$N<LA|(J$g$$@$,$"$j!"3F(J$j \in
>{ A}$ $@$KBP$7$F!"(J\ $f(j)=g(g(j))$ $@$H$J$k!#(J

  g$@$b(Jf$@$HF1MM$N!J#1!K$N@-<A$r;}$DI,MW$,$"$j!"(Jg^2=f$@$h$j!"(Jg$@$K$h$k%*!<%S%C(J
$@%H$O!"D9$5$,#2$G$"$C$F$O$J$j$^$;$s!#!J!J#1!K$OD9$5#1$G$O$J$$$3$H$r$$$C(J
$@$F$$$k!K$H$J$k$H!"%*!<%S%C%H$,#7$N;~!"#4!\#3$N;~$N$_9M$($F!"(Jf$@$O!"%*!<(J
$@%S%C%H$,#7$+!"#2!\#2!\#3$H$J$k!#%*!<%S%C%H#7$O=d2sCV49$G$"$j!"$=$NAm?t(J
$@$O#6!*!##2!\#2!\#3$O!J#2!"#2!"#3!K!?#2!_#2$G!"!J#2!"#2!"#3!K$G$9!#(J



  $@$J$+$J$+LLGr$$$H;W$$$^$9!#;D$j$NLdBj$b2r$$$F$_$?$$$H;W$$$^$9!#$?$@!"(J
$@$*$=$i$/!"$3$NLdBj$r:n$C$?J}$O!"<u83LdBj$N%W%m$G$O$J$$$N$G$7$g$&$+!#$=(J
$@$N!V<j!W$NLdBj=-$5$,=P$F$$$k$H;W$$$^$9!#>e5-$N2rEz$,4V0c$C$F$$$?$i$9$$(J
$@$^$;$s!#$I$J$?$+D{@5$7$F2<$5$$!#$G$O$G$O!#(J

-- 
================================== $@0f>e9@0l!wBg:eI\N)9b@l(J=====================
                   Phone : (0720) 21-6401 ($@Fb@~(J304)  Fax : (0720) 21-0134
                   E-mail: f51323@sakura.kudpc.kyoto-u.ac.jp
=========================================$@;d$O(Jmohta$@;a$K5wN%$r$*$$$F$$$^$9!#(J====