tomh
¤鷺perlǤ (^^;
ԡ 1014ڡ 0:07:23 MAIL:tomh@yahoo.co.jp HomePage:H to M23826
LAR-men
11^3*10?
1014ڡ 0:12:30 23827
LAR-men
11^3*10?
1014ڡ 0:13:25 23828
Ϥʤ
פСǤǤͥ͡(--)

ܡ٤ΤǤιף
ܡ٤ΤϣܤȤбΡ­ƣˤʤΡ˰ʳʤΤ٤륫ɤιפɬ
ܤƱͤˣΤǡף

55*44*33/6=13310
1014ڡ 0:16:26 23829
Ҥ
϶ȡɤä3ʬDz򤱤Τ줫ͤޤ
1014ڡ 0:15:16 23830
omega
׻٤ְ㤨ƤѤǤ

ޤʣ¤11ˤʤäꤹ뤳Ȥͤޤ
ɤν㤦Τ̤¤
(1+2+3+4+5+6+7+8+9+10)^3
ǣ֤äƤΡ֤äƤΡ
3(1^2+2^2+...+10^2)(1+2+...+10)
(1,1,1)Ȥ2;ʬ˰ƤΤ
(1^3+2^3+...+10^3)Ĥ­
ȤϤ򣶤dzäơ1,10ޤ硢2,9ޤ硦¤
10*44,18*44,24*44,28*44,30*44ʤΤǤƽФޤ

#23829Τ褦ʤ줤ʲϻפĤޤǤæ˹Ǥ
1014ڡ 0:16:48 23831
ȥȥ
Excelsheet80̤񤭽Ф衼
åʤϤĤ餤⾯äƤΤǡ
#23829ʤۤɡΤ褦ˡ뤳ȤϽʬ˿¬ĤΤǤ
᤯Ӥ򿩤äƥå򸫤ΤϵˤޤñʤǤʡ

ʼ˸лԡ 1014ڡ 0:19:05 MAIL:h-sakai@zb3.so-net.ne.jp 23832
ޥ
#23829
󡢸Ǥ棳ΡּŸפȤäƤ봶Ǥ͡ꥮʲˡʡ(^^;;
MacOS X 1014ڡ 0:20:07 MAIL:masaru-y@kt.rim.or.jp HomePage:23833


Ϥʤ󤹤
äѤ餤ŷ񡡡 1014ڡ 0:22:22 MAIL:hopes@mba.ocn.ne.jp HomePage:ȣϣУţ23834
Taro
ҤĴ٤ޤ19ޤǤȻפäƲ򤤤ƤȤȽ
줿ΤǤƥץޤ

( 1 , 2 , 3 ) ( 1 , 2 , 4 ) ( 1 , 2 , 5 ) ( 1 , 2 , 6 ) ( 1 , 2 , 7 )
( 1 , 2 , 8 ) ( 1 , 3 , 4 ) ( 1 , 3 , 5 ) ( 1 , 3 , 6 ) ( 1 , 3 , 7 )
( 1 , 3 , 9 ) ( 1 , 4 , 5 ) ( 1 , 4 , 6 ) ( 1 , 4 , 8 ) ( 1 , 4 , 9 )
( 1 , 5 , 7 ) ( 1 , 5 , 8 ) ( 1 , 5 , 9 ) ( 1 , 6 , 7 ) ( 1 , 6 , 8 )
( 1 , 6 , 9 ) ( 1 , 7 , 8 ) ( 1 , 7 , 9 ) ( 1 , 8 , 9 ) ( 2 , 3 , 4 )
( 2 , 3 , 5 ) ( 2 , 3 , 6 ) ( 2 , 3 , 7 ) ( 2 , 3 , 10 ) ( 2 , 4 , 5 )
( 2 , 4 , 6 ) ( 2 , 4 , 8 ) ( 2 , 4 , 10 ) ( 2 , 5 , 7 ) ( 2 , 5 , 8 )
( 2 , 5 , 10 ) ( 2 , 6 , 7 ) ( 2 , 6 , 8 ) ( 2 , 6 , 10 ) ( 2 , 7 , 8 )
( 2 , 7 , 10 ) ( 2 , 8 , 10 ) ( 3 , 4 , 5 ) ( 3 , 4 , 6 ) ( 3 , 4 , 9 )
( 3 , 4 , 10 ) ( 3 , 5 , 7 ) ( 3 , 5 , 9 ) ( 3 , 5 , 10 ) ( 3 , 6 , 7 )
( 3 , 6 , 9 ) ( 3 , 6 , 10 ) ( 3 , 7 , 9 ) ( 3 , 7 , 10 ) ( 3 , 9 , 10 )
( 4 , 5 , 8 ) ( 4 , 5 , 9 ) ( 4 , 5 , 10 ) ( 4 , 6 , 8 ) ( 4 , 6 , 9 )
( 4 , 6 , 10 ) ( 4 , 8 , 9 ) ( 4 , 8 , 10 ) ( 4 , 9 , 10 ) ( 5 , 7 , 8 )
( 5 , 7 , 9 ) ( 5 , 7 , 10 ) ( 5 , 8 , 9 ) ( 5 , 8 , 10 ) ( 5 , 9 , 10 )
( 6 , 7 , 8 ) ( 6 , 7 , 9 ) ( 6 , 7 , 10 ) ( 6 , 8 , 9 ) ( 6 , 8 , 10 )
( 6 , 9 , 10 ) ( 7 , 8 , 9 ) ( 7 , 8 , 10 ) ( 7 , 9 , 10 ) ( 8 , 9 , 10 )
13310
1014ڡ 0:23:38 23835
Ϥʤ
#23833
Ǥ͡ˡʥХȤǻֻդǤˤ̤ˤäƶʤޤ

#23832
#23834
꤬Ȥޤ¿ˤʤΤǤסˤӤӤäȻפĤޤ

ȡ硡 1014ڡ 0:26:00 23836
⥷۴Ĺֱơ
PHPȤߤޤ
ܾ븩 1014ڡ 0:29:36 HomePage:23837
ԡ
ץǤͤ򤦤ߤĤ
ޤϲ̤ꤢ뤫Ĵ١ʣ̤
ȤϡʣˢʣˤɮƬˣ̤׻
ʾϹפޤޤ
Ρȣڡ餱ǵס˷׻Τ餷
ä񤤤Ƥ¸ߤ˵ŤΤˣʬ⤫ä||
饪ŷ˵Τ 1014ڡ 0:29:54 HomePage:23838
ԤԤΡά
ϵǤäƤ̤Ƥʤ֤äƤޤ
ʤ⻻ϰϤæƤޤ
ޤܤȤ߹碌Ѥ¤110*44=1.6*55^2
ưۤʤ뻰Ѥ¤(55^3 - 55^2 - 3*6*55^2)/6= 6*55^2
äơѤ¤4.4*55^213310

ˤƤϤʤβǤ͡
̤̪ 1014ڡ 0:32:54 MAIL:ishizaki@qa.so-net.ne.jp 23839
ߤ
#23829ʤϤʤ

Dz򤱤븽ŪˡǤϰ֤Ǥ͡ˤʤäƤޤ
ߡʣܣܣܣܣˡᣴ
ȤФΤǤΤνФ狼餺ϫޤ
ɤߤĤ֤񤭽ФƤʬˡ§ʤɤϻȤäˤ˷ɥΥȤ
񤭹ǤޤȤΤǤɤĤˤʤäΤǡʴˡ
1014ڡ 0:37:25 HomePage:ȤͷӡäƤޤ23840
CRYING DOLPHIN
44(1018242830)4840פʿ
¤ϡĥ󥰿뤷ʤΤʤ18150
ǯԥ奦ȡ 1014ڡ 0:40:07 HomePage:θ³äƤɤΤ餤23841
ʤ
#23829 Ϥʤ

䤫ʲǤǤ⡢ʤȤޤ
ɤǡäƤϤʤʤηפξϡ
ɤ׻ΤǤ礦
̳ƻ 1014ڡ 0:48:33 MAIL:naka@sansu.org HomePage:naka's Home Page23842
󤴤
5C3111111=13310ǵޤ3Ĥ11(1+10),(2+9),(3+8),(4+7),(5+6)Σ
飳ĤΤǤ
ա 1014ڡ 0:56:01 MAIL:hhmori@bronze.ocn.ne.jp HomePage:ʤʤۤŷƻ23843
ޥ
#23842
ʤǤ͡ɤǡʿξϡڤʲˡʤʸĤʤˤǤ...
MacOS X 1014ڡ 0:59:37 MAIL:masaru-y@kt.rim.or.jp HomePage:23844
ϯ
ޥ뤵󡣸ؤˤꤷƤˡ
1014ڡ 1:04:50 23845
ҡΤ
11^3*10ǵޤʡ
餯󤴤ͤƱ褦ʲˡǤ
ɥ 1014ڡ 1:14:14 23846
ݤ
ҤȤĤȡȤС1,2,3ˤ򤨤֤ȤФ
10,2,3ˡ1,9,3ˡ1,2,8
10,9,3ˡ10,2,8ˡ1,9,8
10,9,8
餹٤Ƥʽġ⤵ˤľΤȹͤȡǤ礦
11,11,11
ΩΤˤʤޤȤ1086680̤ꤢΤ
111111ߡ808ˡ13310
1014ڡ 1:20:32 23847
ݤ
ҤȤĤȡȤС1,2,3ˤ򤨤֤ȤФ
10,2,3ˡ1,9,3ˡ1,2,8
10,9,3ˡ10,2,8ˡ1,9,8
10,9,8
餹٤Ƥʽġ⤵ˤľΤȹͤȡǤ礦
11,11,11
ΩΤˤʤޤȤ1086680̤ꤢΤ
111111ߡ808ˡ13310
1014ڡ 1:20:57 23848
Ϥʤ
#23842
#23844
ʤۤɡ
ȤȻȤʤˤ櫓ơ

Ȥʤϣιפ
40*30*20/6=4000

Ȥ
5*40*30/2=3000

ǹ7000ǤϤʤǤ礦ʤäȼʤǤ

#23848
(;)
Ǥ͡
ȡ硡 1014ڡ 1:26:40 HomePage:http://hanau.daa.jp/blog2/23849
󤴤
#23849
Ʊ5ȤȻȤʤʬơ
ȤʤȤ(1+9),(2+8),(3+7),(4+6)Σ椫飳Ĥ֤4C3*10*10*10=4000
ȤȤ4椫2Ĥӹˣݤ3C2*10*10*5=3000
ǹ7000ȤʤΤǤäƤȻפޤʬˤǤߤޤ
ա 1014ڡ 1:29:38 MAIL:hhmori@bronze.ocn.ne.jp HomePage:ʤʤۤŷƻ23850
ʤ
Ϥʤ󡢤󤴤ޤ󡢣θƤ꤬Ȥޤ
̤ 7000 Ǵְ㤤ޤ

̲ͽ

ɤ n ʿ n+1 ΤȤη P(n)ϡ
n ΤȤP(n) = (n-0)*(n-2)*(n-4)/48 * (n+1)^3
n ΤȤP(n) = (n-1)*(n-2)*(n-3)/48 * (n+1)^3

P(10) = 10*8*6/48 * 11^3 = 10 * 11^3 = 13310
P( 9) = 8*7*6/48 * 10^3 = 7 * 10^3 = 7000

ΤȤΰ̣ŤϡΤȤ (n/2)C3 Ǥ
Τۤϡ⤦ƬꤽǤ
̳ƻ 1014ڡ 2:09:07 MAIL:naka@sansu.org HomePage:naka's Home Page23851
ޥ
ʤ夬äƤȤ...

http://www.geocities.co.jp/Milkyway-Aquarius/7075/trainman.html

ɤǤޤ(^^;;

ϡϤʤˡäȻäݤΤǤܺ٤ˤǤ⡣ʤޡޤ꿷̣ϤʤǤ
MacOS X 1014ڡ 2:22:28 MAIL:masaru-y@kt.rim.or.jp HomePage:23852
Ȥ
׻UPΰ٤ľˤޤʲǤ
褺10Τ3Ф̤դΤΤ׻
(123=1*2*3=6)+(124=1*2*4=8)+(125=1*2*5=10)+(126=1*2*6=12)+(127=1*2*7=14)+(128=1*2*8=16)+
(129())+(1210())+(134=1*3*4=12)+(135=1*3*5=15)+(136=1*3*6=18)+(137=1*3*7=21)+
(138())+(139=1*3*9=27)+(1310())+(145=1*4*5=20)+(146=1*4*6=24)+(147())+(148=1*4*8=32)+
(149=1*4*9=36)+(1410())+(156())+(157=1*5*7=35)+(158=1*5*8=40)+(159=1*5*9=45)+(1510())+
(167=1*6*7=42)+(168=1*6*8=48)+(169=1*6*9=54)+(1610())+(178=1*7*8=56)+(179=1*7*9=63)+(1710())+
(189=1*8*9=72)+(1810())+(1910())+
(234=2*3*4=24)+(235=2*3*5=30)+(236=2*3*6=36)+(237=2*3*7=42)+
(238())+(239())+(2310=2*3*10=60)+(245=2*4*5=40)+(246=2*4*6=48)+(247())+(248=2*4*8=64)+(249())+
(2410=2*4*10=80)+(256())+(257=2*5*7=70)+(258=2*5*8=80)+(259())+(2510=2*5*10=100)+(267=2*6*7=84)+
(268=2*6*8=96)+(269())+(2610=2*6*10=120)+(278=2*7*8=112)+(279())+(2710=2*7*10=140)+(289())+
(2810=2*8*10=160)+(2910())+
(345=3*4*5=60)+(346=3*4*6=72)+(347())+(348())+(349=3*4*9=108)+
(3410=3*4*10=120)+(356())+(357=3*5*7=105)+(358())+(359=3*5*9=135)+(3510=3*5*10=150)+
(367=3*6*7=126)+(368())+(369=3*6*9=162)+(3610=3*6*10=180)+(378())+(379=3*7*9=189)+
(3710=3*7*10=210)+(389())+(3810())+(3910=3*9*10=270)+
(456())+(457())+(458=4*5*8=160)+(459=4*5*9=180)+(4510=4*5*10=200)+(467())+(468=4*6*8=192)+
(469=4*6*9=216)+(4610=4*6*10=240)+(478())+(479())+(4710())+(489=4*8*9=288)+(4810=4*8*10=320)+
(4910=4*9*10=360)+
(567())+(568())+(569())+(5610())+(578=5*7*8=280)+(579=5*7*9=315)+(5710=5*7*10=350)+
(589=5*8*9=360)+(5810=5*8*10=400)+(5910=5*9*10=450)+
(678=6*7*8=336)+(679=6*7*9=378)+(6710=6*7*10=420)+(689=6*8*9=432)+(6810=6*8*10=480)+(6910=6*9*10=540)+
(789=7*8*9=504)+(7810=7*8*10=560)+(7910=7*9*10=630)+
(8910=8*9*10=720)=
((6+8+10+12+14+16)+(12+15+18+21)+(27)+(20+24)+(32+36)+(35+40+45)+(42+48+54)+(56+63)+(72))(=726)+
((24+30+36+42)+(60)+(40+48)+(64)+(80)+(70+80)+(100)+(84+96)+(120)+(112)+(140)+(144+160))(=1530)+
((60+82)+(108+120)+(105)+(135+150)+(126)+(162+180)+(168+189+210)+(270))(=2065)+
((160+180+200)+(192+216+240)+(288+320)+(360))(=2156)+
((280+315+350)+(360+400)+(450))(=2155)+
((336+378+420)+(432+480)+(540))(=2586)+
((504+560)+(630))(=1694)+
(720)(=720)=13310()
ȥQ12Ȥ̲ƥꥢ롦स㤢ʤǤ
虜ݤˡǷ׻äƤޤ
1ޤǤǤϡ
θ˭ԡ 1014ڡ 5:39:23 MAIL:nm528@ybb.ne.jp 23853

1014ڡ 6:08:42 23854
N.Nishi
Excel񤭽Фޤ(^^
1014ڡ 7:30:19 23855
ϥ饮㡼ƥ
Ϥ褦ޤ

ñʥץǤ

̶彣 1014ڡ 10:04:24 HomePage:ĩ23856
kasama
ˤϡäȼʬʤ򤯻֤ǤȻפä顢⤦᤮ˤʤäƤޤޤץǤ

import java.util.*;
public class Question422 {
public static void main(String[] args) {
int count = 0;
List list = new Combination(Arrays.asList(new Integer[]{
new Integer(1), new Integer(2), new Integer(3), new Integer(4),
new Integer(5), new Integer(6), new Integer(7), new Integer(8),
new Integer(9), new Integer(10)}), 3).getList();
for (Iterator iter = list.iterator(); iter.hasNext(); ) {
List numberList = (List) iter.next();
int[] numbers = new int[]{
((Integer) numberList.get(0)).intValue(),
((Integer) numberList.get(1)).intValue(),
((Integer) numberList.get(2)).intValue()};
if (numbers[0] + numbers[1] != 11 &&
numbers[0] + numbers[2] != 11 &&
numbers[1] + numbers[2] != 11) {
count += numbers[0]*numbers[1]*numbers[2];
}
}
System.out.println(count);
}
}
:饹Combination#19625򻲾
1014ڡ 12:10:44 23857
ʤ
ץबФȤǽBASIC Ǥ

LET s=0
FOR a=1 TO 10
FOR b=a+1 TO 10
FOR c=b+1 TO 10
IF a+b<>11 AND b+c<>11 AND c+a<>11THEN LET s=s+a*b*c
NEXT c
NEXT b
NEXT a
PRINT s
END
Muroran 1014ڡ 12:37:42 MAIL:naka@sansu.org HomePage:naka's Home Page23858
ʤ
ĤǤ PERL Ǥ

$s=0;
for $a(1..10){
for $b($a+1..10){
for $c($b+1..10){
if($a+$b != 11 && $b+$c !=11 && $c+$a !=11){$s+=$a*$b*$c;}
}}}
print $s;
Muroran 1014ڡ 12:42:14 MAIL:naka@sansu.org HomePage:naka's Home Page23859
X
դ飱ˤʤξѤ¤ơƱͤΤ꤫Ǥդ飳ˤʤ롢ˤʤ...ˤʤޤǤѤơ󤺤Ĥ֤äƤΤǹפ򣳤dzäƺǸˣξҤޤ
1014ڡ 13:19:38 23860
uchinyan
(ʵҤޤޤ)
Ϥˤϡ̤λ(ñ˺򤱤ʤäȤޤࡢ㤭)ǡä٤ޤ
븫Ȥϡַ׻ФǤ롣ץȤнꡣǤ⡢ǤϡֻפǤϤʤפȻפäơ30ʬۤɹͤΤǤ
ɤޤǥ⤫Фޤޤ
ơ
ޤȤˤܤ11ˤʤʤĴپ夲Ʒ׻13310ޤ
ˡBASICdzǧơϤꡢ13310ޤ
äƤ줬ʤΤǤ֤ǤϤʤפȻפäơŻι֤˼׻η׻򸫤ʤ饢쥳ͤƤơ
֤פȥ˥ޥ :-)
Ѥ¡Ȥȡ­11ˤʤΤФȤܤޤ
Ѥ¤ϡ(1+2+3+4+5+6+7+8+9+10)^3 ١ˤФΤǤ
ˤϡƱǤޤ硢­11ˤʤΤǤޤ硢ڤӤ̤ˤ 3! = 6̤νʣΤǡ
ޤ
ޤƱ־­11ˤʤ־ޤ
1ܤϡɤȤäƤƤ⤤äơ1+2+3+4+5+6+7+8+9+10 ΤޤޤǤ褯ơ55
2ܤϡ1ܰʳǤ1ܤ­11ˤʤʤΤȤäƤ롣
Ϸɡ(1ܤο)+(1ܤ­11ˤʤ) = 11 Ȥ顢55 - 11 = 44
3ܤƱͤǡ(1ܤο)+(1ܤ­11ˤʤ)+(2ܤο)+(2ܤ­11ˤʤ) = 11 + 11 Ф褯55 - 11 - 11 = 33
ˡ줿Τˤϡޤ6̤νʣΤǡ6dzޤ
ɡ55 * 44 * 33 / 6 = 13310
ࡢäȤǤ :-)
Ǥ⡢ϡäȥޡȤ˲򤤤ƤΤʡ
줫Ǽɤǡٶޤ

ͥνȡ 1014ڡ 16:17:31 MAIL:uchi@sco.bekkoame.ne.jp 23861
uchinyan
ǼĤɤ֤ޤ
βˡϡϤʤΤƱ褦Ǥ͡ȤȤϡʤλŦϤΤޤƤϤޤޤ͡
ɤ9ǡʿ10ξϡ5ͥåˤʤޤ͡
ͥνȡ 1014ڡ 14:14:48 MAIL:uchi@sco.bekkoame.ne.jp 23862
uchinyan
#23851
̲ͽ
䥫ɤ n ʿ n+1 ΤȤη P(n)ϡ
䡡n ΤȤP(n) = (n-0)*(n-2)*(n-4)/48 * (n+1)^3
䡡n ΤȤP(n) = (n-1)*(n-2)*(n-3)/48 * (n+1)^3
ʤȤ⡢Ϥʤ󡢵ڤӻβˡǤϡͽۤǤϤʤơ

* n ξ
k (1<= k <= n)Фơk Ȥϰۤʤ(n+1-k)¸ߤΤǡ¤(n+1)Ȥʤ褦(k,n+1-k)Ȥ¸ߤ
#23861ΥåȤơ1 + 2 + ... + n = n(n+1)/2 顢
P(n) = n(n+1)/2 * {n(n+1)/2 - (n+1)} * {n(n+1)/2 - 2(n+1)} / 3!
= n(n+1)/2 * (n-2)(n+1)/2 * (n-4)(n+1)/2 * 1/6
= 1/48 * n(n-2)(n-4)(n+1)^3
* n ξ
k1<= k < (n+1)/2, (n+1)/2 < k <= n)ФƤϡk Ȥϰۤʤ(n+1-k)¸ߤΤǡ
ξˤϡ¤(n+1)Ȥʤ褦(k,n+1-k)Ȥ¸ߤ롣
äơ(n+1)/2 ޤޤʤ P1(n) ˤϡ#23861ΥåȤ롣
(n+1)/2 ޤޤʤΤǡ(1+2+3+4+5+6+7+8+9+10) б¤ϡn(n+1)/2 - (n+1)/2 = (n-1)(n+1)/2 ˤʤ롣
P1(n) = (n-1)(n+1)/2 * {(n-1)(n+1)/2 - (n+1)} * {(n-1)(n+1)/2 - 2(n+1)} /3!
= (n-1)(n+1)/2 * (n-3)(n+1)/2 * (n-5)(n+1)/2 * 1/6
= 1/48 * (n-1)(n-3)(n-5)(n+1)^3
(n+1)/2 ޤ P2(n) ϡ(n+1)/2­(n+1)ˤʤϼʬȰʳˤϤʤΤǡܤǤиǽǡ3̤θ
P2(n) = (n+1)/2 * (n-1)(n+1)/2 * {(n-1)(n+1)/2 - (n+1)} / 2!
= (n+1)/2 * (n-1)(n+1)/2 * (n-3)(n+1)/2 * 1/2
= 1/16 * (n-1)(n-3)(n+1)^3
פ
P(n) = P1(n) + P2(n)
= 1/48 * (n-1)(n-3)(n-5)(n+1)^3 + 1/16 * (n-1)(n-3)(n+1)^3
= 1/48 * (n-1)(n-2)(n-3)(n+1)^3

ȡϤǤ褦˻פޤ㤦Τʡ
ͥνȡ 1014ڡ 15:38:45 MAIL:uchi@sco.bekkoame.ne.jp 23863
uchinyan
#23851
󤳤ޤιͤ#23850Ǥ⡢η׻Ʊ褦ˤʤޤ͡
ʤϡäȿ̣ͤƤΤʡ
ͥνȡ 1014ڡ 15:57:33 MAIL:uchi@sco.bekkoame.ne.jp 23864
оϩ
ƥȽʤΤˡ˸¤äơġġʵ
ԺȤоϩǤ

ͤβˡȤƤϡ
ޤ̤ˣĤοѤιפФơ
¤ˤʤΤȤѤιפȤ

̤λѤιפ򡢷ˡ§ʤɤȤĤIJ򤯤ȡ
2*1*52=1043*3*49=441
4*6*45=10805*10*40=20006*15*34=3060
7*21*27=39698*28*19=42569*36*10=3240
18150Ȥʤ롣

顢¤ˤʤʪޤޤȤѤФ褯
18150-(44*110)=13310Ȥʤޤ

׻ɤǤġġ-3-;
γ 1014ڡ 19:02:50 MAIL:pctakada@mail.goo.ne.jp HomePage:Ĥ줭23865
ʤ
#23864 >uchinyan
>ʤϡäȿ̣ͤƤΤʡ
#23863 ˽񤤤Ƥä褦ʼ
򤷤褦ȤäȤդޤˤ褦
ȡȤꤢͽۡפȽ񤭤ޤ꤬Ȥ
ޤ
Muroran 1014ڡ 20:13:40 MAIL:naka@sansu.org HomePage:naka's Home Page23866
M.Hossie
Фˤ㡣̯Ƥפ⤫Фʤäǡƽ񤭽Ф­ޤ⤽ФˤʤäΤǼ׻Ǥޤʣϳʤɤʤм׻Ǥ⣱ʬ餤ޤ衣

ϳزDzͤ˹ԤޤޤǤϺĮ䡹ʬ⤤ƤΤǶͣͣ褿ΤDz˹ԤΤڤˤʤޤڳ˹ԤΤˤǤ͡
Τꡡ 1014ڡ 20:56:46 23867
Ϥʤ
#23867ۤä

زǺĮäơزäʰä餴ʤ
ϤʤϻäȤʤǤͧͤԤäƤΤǡ

Ϥʤ轵زǵԤ˹ԤäƤޤ6ǯ֤꤯餤äΤǤԱؤ䤱礭ƤӤäꤷޤ
äƤ¤ޤ( -)
1014ڡ 22:03:21 23868
uchinyan
Τ顢­11ˤʤΤȤˡη׻äȹͤƤߤޤ
2¡3¤θȤΤǻǤϤʤǤΤ褦ˤСưפǤ
ޤΤǤĤοۤʤɬפΤǡĤοƱΡ3衢ȡĤοƱΡ2 * ʳ
(1+2+3+4+5+6+7+8+9+10)^3 3!=6̤νʣ6dzФǤϡ
[(1+2+3+4+5+6+7+8+9+10)^3
- 3 * {(1^2+2^2+3^2+4^2+5^2+6^2+7^2+8^2+9^2+10^2) * (1+2+3+4+5+6+7+8+9+10) - (1^3+2^3+3^3+4^3+5^3+6^3+7^3+8^3+9^3+10^3)}
- (1^3+2^3+3^3+4^3+5^3+6^3+7^3+8^3+9^3+10^3)] / 6
= [(1+2+3+4+5+6+7+8+9+10)^3
- 3 * (1^2+2^2+3^2+4^2+5^2+6^2+7^2+8^2+9^2+10^2) * (1+2+3+4+5+6+7+8+9+10)
+ 2 * (1^3+2^3+3^3+4^3+5^3+6^3+7^3+8^3+9^3+10^3)}] / 6
= (55^3 - 3 * 1/6 * 10 * 11 * 21 * 55 + 2 * 55^2)/6
= (55 - 21 + 2) * 55^2 / 6
= 36 * 55^2 / 6
= 6 * 55^2 (= 6 * 25 * 121 = 605 * 3 * 10 = 1815 * 10)
= 18150
ޤ­11ˤʤΤϡ󤬷׻Ƥ褦ˡ
44 * (10+18+24+28+30)
= 44 * 110 (= 4 * 121 * 10 = 484 * 10)
= 4840
äơ
18150 - 4840 = 13310
ͥνȡ 1015ʶ 0:18:37 MAIL:uchi@sco.bekkoame.ne.jp 23869
Holly
1,2,x 1*2*(3+4+5+6+7+8)=66
1,3,x 1*3*(4+5+6+7+9)=93
1,4,x 1*4*(5+6+8+9)=112
1,5,x 1*5*(7+8+9)=120
1,6,x 1*6*(7+8+9)=144
1,7,x 1*7*(8+9)=119
1,8,x 1*8*9=72

2,3,x 2*3*(4+5+6+7+10)=192
2,4,x 2*4*(5+6+8+10)=232
2,5,x 2*5*(7+8+10)=250

İʲάʴ¤׻ޤ
Dz٤ְ㤨ޤʤƤȤǤ礦
ߤʤ󤹤Ǥ͡ġ
KKKԡ 1015ʶ 17:55:46 MAIL:s-bun@fw.catv.ne.jp 23870

Ǥޤ
ݤʤΤCǥץǤ
彣λ 1015ʶ 18:39:14 MAIL:륹褯ޤ 23871
ۤ
(1+10)(2+9)(3+8)ŸФƤΤΤǡȤϤ줬
̤ꤢ뤫ͤޤ
(1,10),(2,9),(3,8),(4,7),(5,6)Τǡ10̤

󤴤ޤȤʤǤ...m(__)m
̤αȡ 1015ʶ 22:02:04 MAIL:micci@sansu.org HomePage:ߤäα23872
M.Hossie
#23868(Ϥʤ)
̤ꡢزǤ (ѥե) ǤΤǤԤ褹ޤˤʬʪز () ˤԤޤɤ⤫ʤ구Ϥ礭زʤΤǡž꤬͡͡ԤΤ줫˸ꤵƤޤޤϣǯϢ³͡ǯϿ͡ǯʬƱԤǡ꤬ޥͥ굤̣򤯤ʤǤ͡以ڤǤäƤǤ

ԱؤϲƺǰǤ͡Ĺؤ⿷̵̣ʱؼˤˤʤޤΤκΤɤäǤ͡
Τꡡ 1016ڡ 19:06:17 23873

1Ťļäơ֤θ礫
ȤϤޤäƤޤޤ
ξ硢1452*(1+2+3+4+5+6+7+8+9+10)=79860ʡ
֤ʤϡ׻ߥƤƤʤʤʤäǤ
񤭤äΤǡʣ
ƽ 1017 11:04:17 HomePage:θ줳ߤ󡪡23874
ޥ
Ρ֥֥ŵ SpecialפθƤ񤭤ޤϢܤ⤦󡢼äǰʤ飱ߤĶȤˤʤޤ󡢤ΤϰΤɤ˾äΤ...(^^;;

----Ƥ----
ĥƤʤȤϲäƤʤΤ....ȤԷʵʽ񤭤ǻϤޤäƤޤȤ򤪵ɼԤγ͡亣ǯϥۥȲäƤǤơʤ󤶤īդޤǣ֡ѥǤäơŹֺݤ˻ĤäΤϣΥ󡣤ʤʥƤȤϤʤäʤǤΤȤˤäϡꣶפȤΡʤǤ䤬ݰǤäϰȤ⣵硢ĴҤɤУ祪СˤʤȤǹΣäǤ衣ˤ⤫餺ͭ...ϥܥ餱򤷤ƤޤơޤޥʥǤޤ
ƺǯܥ꡼ϤޤޤʤθƤ񤤤ƤǤϡܥ꡼ϻϤޤäФǤ˻ϥѡ꡼ͥͽۤ𤬥ץ졼դǴפξ򤷤Ƥޤǡʬ褯ܰҤƤޤĤפΤϡȤΤԸʿʥݡĤʤȤȤǤ⤽١֤餷ƺǼԤͭǤܥ꡼ʣģäƤѡ꡼餫Ǥ͡ޤդʤʤǤΥ᥸㡼ݡĤˤʤʤͳΣĤʤǤ礦...Ȥ櫓ǡǤ

˥ޥ뤵ȤƱνܥ꡼Ҥ򤹤뤳Ȥˤޤ֤ɤΥबԤͥ뤫פƤȤΤǤߤϤƱǤȤȡԤҤΤͭȸǤ礦

ޡեġϥҤ򤹤ʤ顢֤ɤäͥפǾ餹ΤǤ¿ͿǤȤʤȡ줸㤢򤯤ʤΤǡʴΥ롼ˤʤ뤳Ȥ¿Ǥ֤͡ʤΡԤǤ⤤ä礸ʤΡפȤפˤʤ뤫Τޤ󤬡̤...
ޤޥ뤵ͥҤ뤳ȤˤޤޡɤäҤƤ⤳ϤäǤ顣ˡԡԤΤ줾ˤĤơγΨƤߤޤߤϤƱǤ顢ijΨϣǤ͡ȤʤȡϢΨϡ^4ᣱǤˣԤǾijΨǤǣԤ뤳ȤˤϤʤޤԤΤϡ裱裴Τ줫Ǥ裵餱äƤȤϤꤨޤ͡Ȥʤȡξǣ̤ξԤȤ߹碌뤳Ȥˤʤޤ줾줬Ψϡ^5ᣱǤ顢Ԥ𤬾ijΨϡᣱȤʤޤƱ褦ˣԤξǡ裱裵Τ餱뤳ȤˤʤޤĤ椫飲ĤȤ߹碌ϡ52ʣߣˡʣߣˡᣱ̤ꤢޤ顢γΨϡᣵȤʤޤԤξۤƱͤη׻ǡ⣵Ȥʤޤ͡ʾޤȤȡΤ褦ˤʤޤ

ԡᡡ
ԡᣱ
ԡᣲ
ԡᣲ

֤ɤǤƱפʤƤȤǤʤäǡ̤ϡ֣ԤޤϣԤҤۤͭפȤȤˤʤޤ͡ǯΤͤˤɤʾС

ĥƤʤȡֲҤ椨ˡäƤޤΤǤϤʤפȤ嵤ǥȤʤȤޤǹͤƤޤޤΥĥݾ֤Ĥޤ³ΤϤι椬ȯ䤵뤳ˤϷꤷƤ롢ܥ꡼ι򸫤Ф狼ĺȤȤǤ͡ʾС
MacOS X 1017 21:38:30 MAIL:masaru-y@kt.rim.or.jp HomePage:23875
ߤ
#23875
󡢤ʤȤʤǯܤǷ夬ĤƤʤȤϻפäƤΤǤΨͤΤȤʤΤǤ͡¤ϥΥۡ॰饦ɤǤͭʵޤ͡㤨ХۡǤλϣγΨǾġʤƾϤɤѤΤǤ礦դʿˤ뤿ˡǽΣΥۡࢪ棳ϣ¥Υۡࢪ饹ȣΥۡȤ褦˹Ԥޤ͡ؤͤǺǽ˥ۡ॰饦ɤǻ򤷤बͥΨϡʤͤꤷƤޤ
1017 22:31:40 HomePage:ȤͷӡäƤޤ23876
ͤȤ
JavaScriptǻС
<Script language="JavaScript">
kei=0
for(i=1;i<=10;i++){
for(j=1;j<=10;j++){
for(k=1;k<=10;k++){
if(i!=k&&k!=j&&j!=i){
i=eval(i);
k=eval(k);
j=eval(j);
if(i+k!=11&&i+j!=11&&j+i!=11&&k+j!=11){
kei+=i*j*k
document.write(i+","+j+","+k+""+i*j*k+"<BR>")}}}}}
document.write(kei/6)//3!ʣƤ뤫顣
//--></Script>

äѤꤤʤץΤϤɤʡäȹ1äƸƥȡ
1018ʷ 19:38:35 23877
ԡ
#23875
13ֳƮƻԤϷ빽ޤ
ʤ󤫡˥󤬰äޤäΤǥ饤餷
ʰư餽ꣵǤ||
ȤȤǰ٤饪ŷ뤳Ȥʤǯܤ
إѥǤʸ22ܡ

ƤǤ񤭴ְ㤤ꡣβ飵ܤ餤ΣԤΥѥǤ
䤳ξǣ̤ξԡ֣̤͡סȻפޤ

äƤ餹ޤ󡣡äȤν񤭹ߤϺޤ
ʤߤ˻ͽۤϡΣԤǤ(^^)
饪ŷ˵Τ 1019ʲС 0:06:31 HomePage:23879
ۤ
ޥ뤵Ƥ

ϲΥ
http://www.geocities.jp/hagure874/
215˶̣Ф󥰥졼β򤹤٤ƻǺäƤޤ
ȻפޤʤȤ˵Ĥޤ
ϻˤϲĤʤȤȤǤ(^_^;)

ǤߤʤϤڤơȻפޤ
ҡɤ줫ҤȤĤǤ⡡򤤤ơ򶵤Ƥ
̾ˤϡϲ󥯤ͽǤΤǡURLΥ󥯤Ϥۤ...m(__)m

Ϥ򤪴ꤤޤ"^_^"

http://micci.sansu.org/顡ɤ
̤αȡ 1019ʲС 20:38:59 MAIL:micci@sansu.org HomePage:ߤäα23880
粬ҹ
פ֤˲򤭤ޤϡʬˤȤäƤˤäǤʡʤߤˤϡƽ񤭽ФƤ٤ޤȤƷ׻ޤñ˲ˡ򸫤Ĥ줿ΰǤ͡ʡ轵Ż᤯褿Ȼפޤ
1019ʲС 21:37:49 MAIL:toshi009@land.hokuriku.ne.jp 23881
ۤ
Ǥʤ...(^_^;)
23880
>̾ˤϡϲ󥯤ͽǤΤǡURLΥ󥯤Ϥۤ...m(__)m

Ȥ櫓Τ狼ʤʸϤޤm(__)m
̤αȡ 1020ʿ 15:17:43 MAIL:micci@sansu.org HomePage:ߤäα23882
tomh
#23875
ͥˡ̯ȿƤޤ (^^;
ܥ꡼ϡǯޤǤ54ԤƤޤ

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ȤʤäƤޤ(ʬλƤޤ)
ͤǤ#23875ǤΥޥ뤵ͤ(ɤ餬Ĥ
̤ʤΤ)2ܤΤǤ
ȤʤäƤ褦ʴˤʤäƤޤ͡
ԡ 1020ʿ 19:22:44 MAIL:tomh@yahoo.co.jp HomePage:H to M23883