ǯ
Ϥϴ288äסʰʲ




νġʹԤؤˤȲؤˡ
壳ԤУܤϣȤˤޤΤǡ壳Ԥ٤Ф褤ȡ
ߣᣵ
6/26 10:40
ʤιͤϴְäƤ褦Ǥ϶
ɤäƤΤ
#41983Ȥ⤵Υץѡơ1323ޥ1424ޥƤߤޤ礤ޤ
1323ޥǣȤꡢ1424ޥ216ȤȤʤޤ

626ڡ 10:40:54 41981
٥륯åĥ
ְ㤨ƤäѤ餺ߥ¿Ǥ
売ʤ1-44-12-33-22åȤˤʤѥȡ1-22-33-44-1Ȥʤѥʬƹͤޤ
626ڡ 0:18:50 41982
Ȥ
basic

ʸοޤ

a,b,c,d
e,f,g/h
i/j/k/l

֤

for a=1 to 4
for b=1 to 4
for c=1 to 4
for d=1 to 4
if a+b+c+d<>10 or a*b*c*d<>24 then goto 90
for e=1 to 4
if e=a then goto 80
for f=1 to 4
if f=b then goto 70
for g=1 to 4
if g=c then goto 60
for h=1 to 4
if e+f+g+h<>10 or e*f*g*h<>24 then goto 50
if h=d then goto 50
for i=1 to 4
if i=a or i=e then goto 40
for j=1 to 4
if j=b or j=f then goto 30
for k=1 to 4
if k=c or k=g then goto 20
for l=1 to 4
if i+j+k+l<>10 or i*j*k*l<>24 then goto 10
if l=d or l=h then goto 10
let s=s+1
10 next l
20 next k
30 next j
40 next i
50 next h
60 next g
70 next f
80 next e
90 next d
100 next c
110 next b
120 next a
print s
end

f9ơ576()

˭ԡ 626ڡ 0:26:56 41983

־򣱣Ǹꤷƣѥ
򤫤ƣᣵ
Ƭ
626ڡ 1:42:32 41984

1ܤ4!=24(̤)ǽǡ1234פξĴ٤Ф褤
2ܤϡִפ9̤ꡥ3̤2143ܼŪƱĤ2341ܼŪƱ
2ܤ2143ʤ顤3ܤ3412,3421,4312,43214̤ꡥ
2ܤ2341ʤ顤3ܤ3412,41232̤ꡥ
äơ24*(3*4+6*2)=576(̤).

٥륯åĥƱǤ͡
626ڡ 6:17:34 41985

1ܤ¤ؤ̤ʤΤǣߢ̤ꡢ΢θĤ狼餺1ܤ֤ơܡܤºݤ˺ޤ
줬̤ꤢäΤǡߣᣵ̤Ȥޤ
⣲ʤΤDzȻפޤ⤫Ф#41981κǯԤǤ狼ޤ
֤פȤܤڤˤȤäƤγڤߤǤ
Ϻꡡ 626ڡ 6:32:15 41986
ϺĹ
Ʊ褦ʲǤ
äȣߣޤꡣ
פ֤˰ȯ򡢡֤á
ʻ񤭹ߡ
626ڡ 8:04:17 41987
Mr.ǥ



΢ηϡ3!̤
΢᤿塢Σ΢ϡ2*24̤ˤġ
ĤΣɤؤϣ!̤
ä
3!*4*4!576̤ˤȤޤ
626ڡ 10:15:24 41989
⡼ޥ
褯ʬޤǤ^^;
4!ܿäƤȤǡǧڤǡOrz
ǽͤΤ...
4x4ǹͤƤƱϤʤΤ...
岣¤ӡ4!
Ĥ¤ӡ3!
ĤϺοĤ3x3νIJʣʤ褦¤٤ФȤϰդ˷ޤ뤫顢3!
4!*3!*3! ܤͳʬޤ^^;
¨ ^^;v 626ڡ 9:08:08 41991

󡢺ǯԤδְ㤨ͳwޤ
⡼ޥ󤵤ΤϡĤ¤Ӥ(ģĤ飳֤Τ)ߣߣʤΤǤϤʤǤ礦
طʤǤɡȯŸȤɽǤ͡ߣޥοȤβѥäƲ̤ꤢΤǤ礦ߣIJޥ꤬ޤäȾʤǤ礦
626ڡ 10:47:50 41992
ޤ륱
ץǰ㤦ξ׻Ƥߤޤ
ߣ̤
ߣ̤
ߣ̤
ߣ̤
ߣη׻ˡޤǤη̤缭ŵĴ٤顢
A002860
ۤʥץǤϣߣ³ʤȤ狼ޤ
ʤ硡 626ڡ 12:10:44 MAIL:take4310@mobile.email.ne.jp HomePage:ޤ륱41993
uchinyan
Ϥˤϡơϡ
Ϥˤ䤳ʤʤ褦˿뤫ݥȤǤäͤвȤʤǤ礦
Ȥǻ֤ɤƤȥߥʡȤޤ
ºݡǽɤǴְ㤨ΤܤˤʤäƤޤޤ (^^;
⤦ޤǤʵ⤷ޤƻˡʴǡ

ޤܤñ 1 4 ¤٤ФΤ 4! = 24 ̤ꡣ
ܡܤϣܤΤ줾¤ӤФƱĤξοˤʤΤǡ
ʲܤ򡤣Ȥƹͤޤ

ܤκǽ顤ܤΣβϣʳʤΤ 3 ̤ꡣ
ΤɤǤʲξοƱʤΤǡ򣲤Ȥƹͤޤ
ȡܤΣβϡΤ줫Ǥ

(1) ܤΣβξ
ܤλĤϣȣǤܤΣβʤΤǡܤ 1 ̤˷ޤޤ
ΤȤܤϡ
ܤǣܤܤǣܤβϣȣؤ
ܤǣܤܤǣܤβϣȣؤ
Ȥʤäơ2 * 2 = 4 ̤ꡣ
ǡξϡ1 * 4 = 4 ̤ꡣ

(2) ܤΣβξ
ܤλĤϣȣǤܤΣβʤΤǡܤ 1 ̤˷ޤޤ
ΤȤܤϡ
ܤǣܤβϣǤ
ξϡ
売ԤΣΰ֤飱ܤǣܤβϣ˷ޤꡤܤβϣȷޤꡤ1 ̤ꡣ
ξϡ
ܤǣܤβϣܤβϣܤβϣȷޤꡤ1 ̤ꡤ
Ȥʤäơ1 + 1 = 2 ̤ꡣ
ǡξϡ1 * 2 = 2 ̤ꡣ

(3) ܤΣβξ
(2)Ʊͤˡ2 ̤ꡣ

ǡܤκǽ餬ξϡ4 + 2 + 2 = 8 ̤ꡣ

ʾꡤܤκǽ 3 ̤ȣܤ 24 ̤ݤơ
24 * 3 * 8 = 576 ̤
ˤʤޤ

⤦ͤƤߤޤñǤ

ԤʤΤǡüΣϡɤ줫ĤοȴĤꣳĤο¤Ӥޤ
4 * 3 * 2 = 24 ̤ǡɤοȴƤ⺸ΣԣξοƱǤ
ǡüȴȤȡΣԣǤΣ¤Ӥ 3 * 2 * 1 = 6 ̤ꡣ
Τ줾¤ӤȤˡƹԤΡȱüοʳο¤Ӥϡ㤨С



΢ФΤǡ



4 ̤ꡣ
ʾǤ٤ƤʤΤǡ24 * 6 * 4 = 576 ̤ꡤˤʤޤ

դȻפФΤǤĤ˺ޤ꤬JMOͽˤä褦ʵƤޤ
ͥνȡ 626ڡ 14:37:32 41994
ֿء׾ι
򸫤ȡĤץꤿʤǤ
ң᡿Ȥޤ

/* ޤ飴ޤǤο¤٤¤򤹤٤ƺޤ*/
A=newmat(24,4);
X=0;C=0;
for (I=1;I<=4;I++){
for (J=1;J<=4;J++){
if(I!=J){
for (K=1;K<=4;K++){
if((I!=K) && (J!=K)){
for (L=1;L<=4;L++){
if((I!=L) && (J!=L) && (K!=L)) {A[X][0]=I;A[X][1]=J;A[X][2]=K;A[X][3]=L;X=X+1;}
}}}}}}

/* ˡǺä¤ۤʤ룳ĤǹԤȤꡢʬʤο򥫥Ȥޤ */
/* ԤȤ߹碌̤κꡢҤȤĤǤ⣰ȤʤΤǡ٤ƤʬѤǤʤȤȽꤷޤ*/
B=newmat(3,4);B0=newmat(3,4);
for (M=0;M<=23;M++){
for (N=0;N<=23;N++){
if(M!=N){
for (O=0;O<=23;O++){
if((M!=O) && (N!=O)){
B=mat(A[M],A[N],A[O]);B0=mat(A[N],A[O],A[M]);B0=B0-B;
D=1;
for(I=0;I<=2;I++) for(J=0;J<=3;J++) D=D*B0[I][J];
if(D!=0) C=C+1;
}}}}}

print(C);
626ڡ 13:37:11 41995
ǯ
#41981ˡǤϡʴְ㤤θΡ˽ʣ꤬åꤷʤäΤ̲򡥡
Թ塢ޥ1,2,3,4A,B,C,DȤбǤաˡ
ޥϤ򲼵ΤȤȤ롣
(11) (12) (13) (14)
(21) (22) (23) (24)
(31) (32) (33) (34)
1 (11)(12)(13)(14) ˤ1,2,3,4ǤդνΤǡ4!
1ܤ (21)(31) ˤ (11) 줿ʳǤդΤǡ3P2
ޤǤΩ
(11)(12)(13)(14)ˡA,B,C,Dνˡ(21)(31)ˤB,Cνäͤ롣
Ĥ (22)(43) ͤɤ
(11)(21)(31)ʤäDΤߤ1ġD(12)(13)(14)Τ줫ˤϤ롣
ΤˡD (22)(43) 4սؤΤ2Ȥꡣ1ȤФA,B,C֤2ȤꤺĤΤǡ(22)(43) 2*2=4Ȥꡣ
Τˡפǡ4!*3P2*4=576Ȥ
#41981Ǵְäͤ4!*4!Ǥ⡢(22)(43)ˡ4ȤΤᡢ4!*3!*4ǶƱ̤ˤʤäΤǤ礦*44#419814!4ʪǤ
ʤߤˡƱͤ˷׻ơ1323ޥξϡ3!*2P1*1=121424ޥξϡ4!*3P1*3=216Ǥ
٤ϴְäƤʤȻפޤ
34ޥʾΰ̲Ϥɤ餤ΤǤ礦͡

626ڡ 20:59:57 41996
uchinyan
ǼĤɤߤޤࡤʬब񤷤

#41981#41991ְäƤ褦ǤͤΤϤ򤤤Τǰ
ϡġ߲ ߣ Ǥߣ ǹͤƤ⣴ܤϰդ˷ޤΤǾοƱʤΤǡ
ߣ ǹͤ롤Ȥˡ
ǥΤȻפޤ
νġʹԤؤˤȲؤˡ
壳ԤУܤϣȤˤޤΤǡ壳Ԥ٤Ф褤ȡ
䣴ߣᣵ
դϤ褯ʬޤ
㤨Сߣ ξ硤


Σ̤ꡤǤߣȤȡ



Σ̤ȡ


Σ̤Ρ
٤ƹΤ뤳Ȥˤʤޤ򤷤褦ȤƤΤ̣ʬޤ㤨С


ʤȤ⡤ߣΰ̣դϹͤľ褦˻פޤ

#41982#41985
売Ԥ
ݣݣݣݣʤɤĤĥåȤˤʤȡݣݣݣݣȤʤˡ
ʬƹͤˡ

#41984
־򣱣Ǹꤷƣѥ
䣴򤫤ƣᣵ
Ȥˡܺ٤

#41986
1ܤ¤ؤ̤ʤΤǣߢ̤ꡢ
Ȥθϼºݤ˿ˡ

#41987
Ʊ褦ʲǤ
䤹äȣߣޤꡣ
Ȥˡܺ٤

#41989
ޤꤷ˱üΣᡤĤΣޥĤΣؤ롤Ȥˡ

#41994Ⱦ
ܤϣν 24 ̤ꡤʲܡܤƻ˾ʬƿˡ
ʬλ#41982ʤɤƱˤʤäƤꡤ¤ƱȻפޤ
#41982ʤɤϽ۴ִˤʬι̵ͤռˤ餹ΤФ
βˡϾʬפƻʲˡȤʤΤǡʬˤޤ

#41994θȾ
ޤüΣᡤ˱üΣȴᡤĤΣޥ롤Ȥˡ
#41989ȻƤޤͤϤʤۤʤΤǡʬˤޤ

#41996
ܤϣν 24 ̤ꡤüܤΣܣܤϣܰʳʤΤ 6 ̤ꡤ
ϡüܤ̵ܤƻĤˡ
#41994θȾ˻ƤͤδܤƱȻפޤ礬ʤ㤦Τǡʬˤޤ

#41983#41993#41995
ץˤˡ
Τ˥ץȤߤʤޤ͡르ꥺ򶥤Τˤ⤤Τޤ
ͥνȡ 626ڡ 17:01:21 41997
ޤ륱
ΡߣΤǹͤޤ
ܤϣΤ˸ꡢǣΡ򤫤롣
ܡβϣΤ˸ꡢǡʣΡݣˡ򤫤롣
Ȥä¤ǡĴ٤ʤФʤʤäȸꡢߣޤǷ׻Ǥޤ
ʤ硡 626ڡ 18:07:23 MAIL:take4310@mobile.email.ne.jp HomePage:ޤ륱41998
Ф
ΡƱäƲ򤤤ΤǤ
С⡼ĥȤιʶʡʣˣˤƱֹä
Ȼפơ

ɤǤ⤤⡼ĥȡԥΥʥˣ̾ʤǤ
626ڡ 19:23:01 41999

4ޥ4ޥǤ⡢ŪƱǤ͡

鵤ˤʤäƤ
ؽnޥnޥǡɤνĤˤⲣˤ1nޤǤ񤫤Ƥ褦˥ޥˡϲ̤ꡩ
ȸʤΤǤäƻŪʹͤDz򤱤ΤʤΤǤ礦
626ڡ 22:02:16 42003
⡼ޥ
#41997 uchinyan ^^
ְäƤˤؤ餺夲ĺåǤ Orz
ޤˡɤƤιͤǤϽФʤΤʬäƤޤ^^;?
but...褯ͤ3x3Τʤγƹ or 椽줾1ϻȤʤȤ˵դޤ!!
ä礯2x2=4 ǡ4!*3!*4

#42003 ^^
Ĵ٤Ƥߤޤ
http://mathworld.wolfram.com/LatinSquare.html
ˤ...ԥ塼Ƿ׻뤷ʤ褦ʤȤ񤫤Ƥ򤷤ޤ ^^;

ʤߤˡnxmm<=n nxnƱˤʤϤǤ͡
ϡm=1ǡnx1ˤʤä...餫˹ʤΤDZǤ͡Orz
¨ ^^;v 627ʶ 18:40:33 42004

#42004
ʤΤǤ͡
äȵˤʤäƤʵ䤬褷ޤ
꤬Ȥޤ
627ʶ 23:18:52 42005
pao
ɤǤʤΤǴФǤѤߤޤ

Ȥꤢ򣱤ȸꤹȾʤϣ̤
Ǥ⺸⡡̤
˻Ĥ9ޥˤĤ2Ǥ꤬4̤
¾ϼưŪ˷ޤΤ
4̤Ǥ뤳ȤƧޤ
3!x3!x4x4=576̤
628ڡ 1:32:09 42006
ֿء׾ι
wxMaxima ǡ飵ξץषƤߤޤʰʲ̤
¹Է̡äФޤ
CPUIntel(R)Core(TM)i5-4200M CPU @2.50GHz ǤƯΨϣ

飶ξ׻ˤϡäȹפʤȡ
ɴ֤⤫ꤽǤʡ

/* [wxMaxima: input start ] */
x:0;count:0;
y:5;k:matrix([0,0,0,0,0]);
for a:1 step 1 while a<=y do
for b:1 step 1 while b<=y do
if a#b then
for c:1 step 1 while c<=y do
if a#c and b#c then
for d:1 step 1 while d<=y do
if a#d and b#d and c#d then
for e:1 step 1 while e<=y do
if a#e and b#e and c#e and d#e then
(k:addrow(k,[a,b,c,d,e]),x:x+1);

x:x+1;
for a:2 step 1 while a<=x do
for b:2 step 1 while b<=x do
if a#b and
not member(0,(row(k,a)-row(k,b))[1]) then
for c:2 step 1 while c<=x do
if a#c and b#c and
not member(0,(row(k,b)-row(k,c))[1]) and
not member(0,(row(k,c)-row(k,a))[1]) then
for d:2 step 1 while d<=x do
if a#d and b#d and c#d then
if not member(0,(row(k,a)-row(k,d))[1]) and
not member(0,(row(k,b)-row(k,d))[1]) and
not member(0,(row(k,c)-row(k,d))[1]) then
count:count+1;
/* [wxMaxima: input end ] */
628ڡ 10:33:15 42007
Ϸʼ
⤿⤿٤ʤޤ

ܤΣ̤ꡢܤΣ̤Ϥʬޤ
ܤܤΥˤѤΤ˵դΤ٤ޤ

ϡǦϤƤޤ
ʡ 628ڡ 10:35:46 42008
Ȼ
#41980ߤ󤵤ʣƱΤȤ
ABCD)4(3333),(4444),
3(4443),(5550),(9222),(6660),(9333)
2(5332),(7441),(6443),(9440),11̤ˤʤޤ
â2ΤȤ(9440)ʳϳꤹ⤢ޤ
629 1:43:54 42009
Ф
ʤäΤϻǰǤäƤ¿Ȥ⤦ΤǤʤ꤫äФޤ

Գѻѷ£ä¡ᣱáᣵǤ롣ʬ£þĤȤġ¤ȤȤܣ£ġܣãĤȤʤäգþŤȤܣģš᣹ȤȤģŤѤϤĤǤ
73ڡ 5:21:05 42010
baLLjugglermoka
#42010

ģ=2/3Ǥ礦?
73ڡ 10:26:13 42011
Mr.ǥ
#42011
ADE2/3ˡ1ɼ
73ڡ 10:56:08 42012
uchinyan
#42010
Ʊ2/3
ͥνȡ 73ڡ 16:36:59 MAIL:uchi@sco.bekkoame.ne.jp 42013

ԳѻѷABCAB=1AC=5

ʤ٤ѷǤ͡BC=5C 10١AȢB 80١90١

ջѷABD(B=BDA)80١90١ĺ(BAD)20١0١

CAD60١90 (BAD) ΩȤʤäƤޤޤ

ɤΤǤ礦
73ڡ 18:33:44 42014
Ф
󡣤ߤޤ󡣻ϱԳѻѷȻפǤޤäƤޤ180ݢܣ£äȾʬȤȤtanȡ3/4äƦȡ45BAC90ǤˤäꤷƤޤ
73ڡ 20:39:19 42015
Ф
󡣤ߤޤ󡣻ϱԳѻѷȻפǤޤäƤޤ180ݢܣ£äȾʬȤȤtanȡ3/4äƦȡ45BAC90ǤˤäꤷƤޤ
73ڡ 20:39:25 42016
Ф
Ǥ
73ڡ 20:40:04 42017
ޤ
Ż˻äΤȡʳβˡ餺Ƥޤ

Ȥ⹻Ʊ˽񤹤뤳ȵ񤬤ꡢȰ˹ͤޤ

⤦ȾǤβɤǡ˿οػɤ餬쥬Ȥ˲򤱤뤫򶥤äȤפФޤ
somewhere in the world 79ʿ 12:07:04 42018