ȥȥ
ƥӸƤäȽ٤졪
ϴñǤ͡
ʼ˸лԡ 1027ڡ 0:07:25 MAIL:h-sakai@zb3.so-net.ne.jp 26039
ޥ
105=252äƲˡϤä̵ޤͤ(^^;;
PowerBook G4 1027ڡ 0:08:52 MAIL:masaru-y@sansu.org HomePage:26040
ߥƥ
֤ȡץȤۤɤǤʤäġġ
(1,1,6) (6,1,1) ̡˥ȤǤ͡

áá6
áá10
áá12
áá12
áá10
áá6
áá10
áá16
áá18
áá16
áá10
áá12
áá18
áá18
áá12
áá12
áá16
áá12
áá10
áá10
áá6
1027ڡ 0:09:11 HomePage:ߤ26041
2709أǯ
116 125 134 224 233 Σǣߣܣߣܣߣܣߣܣߣᣲ Ǥ͡
ѥˤޤäƤ롡 1027ڡ 0:11:22 26042
DrK
פ֤˲򤭤ޤ
¤ϡĶѤޤ
Ҥ7࿦ơ߲츩ƻԤˤޤ
9ˤư衢λ֤ޤǵƤ뤳ȤޤǤ
Ϥλ֤˵ƤΤǵפ֤˲򤯤ȤǤޤ
Ȥ߹碌Ǥ礦
դĹȤ߹碌
(1,1,6)(1,2,5)(1,3,4)(2,2,4)(2,3,3)
ǡ2Ʊξ3̤ꡢƤۤʤ6̤ˤʤޤ
ʾ夫
63+106+126+163+183=252ˤʤޤ
1027ڡ 0:12:20 MAIL:satoka@star.odn.ne.jp 26043
ҡΤ
ƱǤʾС
9ߤ濴 1027ڡ 0:13:11 HomePage:26044
ΤӤ
ޤޤޤ
1027ڡ 0:12:49 26045
Taro
#26040
ʼ꤬äǤ
Dz򤤤Ƥޤ()
1027ڡ 0:16:22 MAIL:tarox@nifty.com 26046
ӣˣ
7233=252 ڤ򣷸Ĥ飲ǡ3ܤġ⤵˽¤٤ޤ
1027ڡ 0:19:19 26047
ӣ
7P23P3Ǥ
1027ڡ 0:22:39 26049
2709أǯ
䤤Ǥ⤤ߣǾοˤ櫓ȤĤǤ礦줬ǾǤ뤳Ȥξ⤷ƤǤϤޤ
ѥˤޤäƤ롡 1027ڡ 0:24:28 26050
Ȥ
basicˤץǤ
let s=0
for a=1 to 6
for b=1 to 6
for c=1 to 6
let x=a*b*c
if a+b+c=8 then
let s=s+x
print s;a;b;c
end if
next c
next b
next a
END
˭ԡ 1027ڡ 0:36:17 MAIL:fttnm528@ybb.ne.jp 26051
(`)
Ҥ飱¤ǤäƤ
1027ڡ 4:56:41 26052
⡼ޥ
ϴñǤ͡
1027ڡ 9:00:33 MAIL:kennji72001@yahoo.co.jp 26053
kasama
Ϥ褦ޤ(*^_^*)

public class Question494 {
public static void main(String[] args) {
int s = 0;
for (int x = 1; x < 8; ++x) {
for (int y = 1; y < 8-x; ++y) {
int z = 8 - x - y;
s += x*y*z;
}
}
System.out.println(s);
}
}
1027ڡ 9:16:00 26054
uchinyan
ϤˤϡϴñǤ׻㤤ϢȯƤޤޤ ^^;
ˡϡޤ¿ʬƱȻפޤϤäȻ֤ʤΤǡޤǡ
ͥνȡ 1027ڡ 11:50:01 MAIL:uchi@sco.bekkoame.ne.jp 26055
uchinyan
Ƥӡˤ ^^;
βˡǤʤŪʲˡǤ餯ɤʤƱȻפޤ
ޤ8cm 򻰤ĤʬƤߤޤϡ(1,1,6), (1,2,5), (1,3,4), (2,2,4), (2,3,3) Ǥ
ǤϡDzս꤬ۤʤ̡Ȥ뤳Ȥդޤǽ顢˺Ƥޤ (^^;
ȡ(1,1,6), (2,2,4), (2,3,3) 3̤ꡢ(1,2,5), (1,3,4) 6̤ꡢDzս꤬㤦Τޤ
ľΤϡ3դзꤹΤǡѤϡ
(6 + 16 + 18) * 3 + (10 + 12) * 6 = 40 * 3 + 22 * 6 = 120 + 132 = 252 cm^3
ͥνȡ 1027ڡ 16:04:32 MAIL:uchi@sco.bekkoame.ne.jp 26056
⡼ޥ
#260502709أǯꡣ
154/13=1111
13/11=12
2/1=2
11+1+2=14
ƤкǾοǤ뤫顣
߽ˡǤ͡
1027ڡ 15:44:12 MAIL:kennji72001@yahoo.co.jp 26057
uchinyan
ǼɤߤޤȤ߹碌ʤɤȤäˡ7P2 * 3P3 Ȥ 10C5 ȤʬʤǤ^^;
ѤȤɤӤĤΤʡ
⤦ͤƤߤޤǤޤ顢ɤʤĺޤ󤫡
ͥνȡ 1027ڡ 16:32:01 MAIL:uchi@sco.bekkoame.ne.jp 26058
nakakun
2709أǯϡ17Ĥ
ϡ񤷤ʡ
ܡ 1027ڡ 16:39:51 26059
ϥ饮㡼ƥ
褦䤯򸫤뤳ȤǤޤ
ͤ˥ץǤ

ФȤޤޤҤ᤭ʤʤޤ
̶彣 1027ڡ 17:12:30 HomePage:ĩ26060
ʤ
#26058>uchinyan 󡣡ã
ޥ뤵ν񤭹ߤߤƴФǤ̣ϤǤ礦

դ˹礦ľΤꡢգξΩΤĤޤ
ơΤǤգĤξΩΤܤޤ
㤨СߣߣľΤΣܣܣܤξΩΤǤ
򡢢Ƚ񤯤Ȥˤޤά
ˡȡϣܤȣܤȷޤäƤΤǡ

Ƚ񤤤Ƥ⡢̣¸ޤ

ƣĤΤĤޤȡ줾ξΩΤ
УбΤǡդѤϣãȤʤޤ
̹񡡡 1027ڡ 19:17:00 MAIL:naka@sansu.org HomePage:naka's Home Page26061
uchinyan
#26061ʤء꤬Ȥޤ
ʤۤɡࡥϡǤ͡
ޤοʬΥơդĹ˲ơѤˤؤäƤ롣
ǤʤȤפĤΤʤޤդˤʤޤ󡢤Ǥ
1cm ξΩΤˤФ餹ΤʤȤϻפޤפĤޤǤ
ޤ˰줫齤ԤΤľȤǤ

ɲá
Ǥ򿼤뤿ˡ6cm, 10cm Ǥޥ뤵βˡϳΤȤǧޤ
ʤ餷Ƥ⡢ȤȤϡ̤ˡ(n+2)C5 Ǥ͡äȡ
7P2 * 3P3 ǤϤɤʤΤǤ礦
ʤȤ⡢#26047ѤǤ͡6cm, 10cm Ǥϰפʤ
ͥνȡ 1027ڡ 23:45:16 MAIL:uchi@sco.bekkoame.ne.jp 26062
⡼ޥ
#26050
2709أǯꡣ
錄Τȡ19ĤǤ͡
154/13=1111
11x135,6,7,42ġ11Ĥʬ뤫顢11+6=17ĤǤ͡
11x13ʬ򤷤ߤĤ֤ˡ
䡢򤫤äǤ
1027ڡ 23:36:12 MAIL:kennji72001@yahoo.co.jp 26063
粬ҹ
ʬƿޤ
(1,1,6)(2,2,4)(2,3,3)Ϥ줾죳̤ꡢ(1,2,5)(1,3,4)ϣ̤ꡣ׻
(6+16+18)*3+(10+12)*6=252ä252cm^3
ڤޤƤ餤ޤȥåפοͤΥޤ͡ʡ
줳ֻäƤĤǤ͡
1028ʶ 12:00:35 MAIL:toshi009@land.hokuriku.ne.jp 26064
ޥ
#26062,#26061
βˡ̤˻䤬Ϥǻפ⤫äƤ櫓ǤϤʤơñˡ֣򣳤Ĥο¤ʬ䤹ˡ򤹤٤ƹͤȤΣĤοѤ¤(n+2)5˰פ뤳Ȥ򼨤פߤ꤬äơ饢󥸤ΤǤȤϤΤǡʤ餷ǤȤǤޤ

ʤߤ˺ꡢϴñ˽Ф뤳ȤʬäƤޤθΰ̲ؤäή줬򤤤ΤǤϤʤȻפäƽꤷޤΰ̣Ǥϡľ˼105ʤƽ񤫤ʤۤ򤤵깭줿ɤä...ȸƤޤorz
PowerBook G4 1028ʶ 22:22:11 MAIL:masaru-y@sansu.org HomePage:26065
Ҷ˥ޥ
ϴñǤޤȤ߹碌Ȥ611521431422332ޤǤ¤Ͻ֤36633̤ǤʤΤǡ6*1*1*3+5*2*1*6+4*3*1*6+4*2*2*3+3*3*2*3=252252̤꤬Ǥ
1028ʶ 22:34:16 26066
ʥե
򤱤ޤǤ⡢Ȥ߹碌ͤΤѤǤ
1029ڡ 11:26:19 26067
uchinyan
#26065ޥ뤵ء
ǤǤ⡢ڤ˼夲줿ΤϤȻפޤ
Τ˺ϼȤߤ䤹äȤǡ޳ѤβˡޤƤʤΤϡǰ˻פޤ
ơ˶Ĺ 8cm ǤϤʤƤäĹơࡢ20cm ǤĹ뤫ʡϫƷ׻С꤬ߤȤˤߤ⡣
äȤ⡢ץɤˤϡطʤǤɤ͡
ޤʤΤФ餷ν񤭹ߤ᤹Τ⡣
Ĥޤꡢ䤬ˤäѤʲĹȤäơθǡʤδʷ⤬Фơޥ뤵μ
Ȥʥꥪ褫äΤʤȤʤȤפä (^^;
ˤƤ⡢ˤ⡢ä 10C5 򤵡Ф餷
̯(츫ñ̤ΤäƤʤĤοѡ⤦ȹ礻οäݤǤϤʤŪ˰פ롪)
ǽߤޤ

(ɲ)
Ĥޤꡢ䤬ˤäѤʲĹȤäơθǡʤδʷ⤬Фơޥ뤵μ
ѤʲפǤ (^^; ʥ֤ʷ׻⹻٥롢ǡ(n+2)C5 åޤ
˶Ĺ n cm Ȥޤi cm, j cm, k cm, i, j, k >= 1 ʬȤޤ
ȡi + j + k = n ʤΤǡ V ϡ
V = [i=1,n-2]{[j=1,n-1-i]{i * j * (n-i-j)}}
ϡ׻ǤθȤޤ
[i=1,n]{i} = 1/2 * n(n+1)
[i=1,n]{i^2} = 1/6 * n(n+1)(2n+1)
[i=1,n]{i^3} = 1/4 * n^2 * (n+1)^2
[i=1,n]{i^4} = 1/30 * n(n+1)(2n+1)(3n^2 + 3n - 1)
ȡ
V = [i=1,n-2]{[j=1,n-1-i]{i * j * (n-i-j)}}
= [i=1,n-2]{[j=1,n-1-i]{i * ((n-i) * j - j^2)}}
= [i=1,n-2]{i * ((n-i) * 1/2 * (n-1-i)(n-i) - 1/6 * (n-1-i)(n-i)(2n-2i-1))}
= ...
= 1/6 * [i=1,n-2]{i(n-i)^3 - i(n-i)}
= 1/6 * [i=1,n-2]{- i^4 + 3n * i^3 - (3n^2 - 1) * i^2 + (n^3 - n) * i}
= 1/6 * {- 1/30 * (n-2)(n-1)(2n-3)(3(n-2)^2 + 3(n-2) - 1) + 3n * 1/4 * (n-2)^2 * (n-1)^2
- (3n^2 - 1) * 1/6 * (n-2)(n-1)(2n-3) + n(n-1)(n+1) * 1/2 * (n-2)(n-1)}
= ...
= 1/360 * (n-2)(n-1) * (3n^3 + 9n^2 + 6n)
= 1/120 * (n-2)(n-1)n * (n^2 + 3n + 2)
= 1/120 * (n+2)(n+1)n(n-1)(n-2)
= (n+2)(n+1)n(n-1)(n-2)/5!
= (n+2)C5
ǡΤˡ̤ˤϡ(n+2)C5 cm^3 ˤʤޤ
ޤƤޤСñʤ뼰η׻ʤΤǡ̯ǤʤǤʤǤ
ͥνȡ 1029ڡ 13:34:29 MAIL:uchi@sco.bekkoame.ne.jp 26068
Ҷ˥ޥ
252̤ǤϤʤ252Ǥפޤ
ӤʤƥѥǤ 1029ڡ 13:00:39 26069
Ҷ˥ޥ
ͤϤ񤷤λˤĤƤޤ褯ΤʤΤǤʤ󤫤ä鶵Ʋ(ʤ󤫤äƸäƤ⺤뤱ɤ)
ӤʤƥѥǤ 1029ڡ 15:02:32 26070
ȥȥ
ˡǤȤޤ
̩äƤޤŻΤ٤ޤ
줫ʤꤤޤ
ʼ˸лԡ 1030 23:16:42 MAIL:h-sakai@zb3.so-net.ne.jp 26071
kata
ȥȥΤǡդޤ
ˡǤȤޤ
줫⡢ꤤޤ
1031ʷ 1:58:20 26072
⡼ޥ
ˡ400ˡʤʤΤ͡褯Ƥʤäˡ
1̤Ƥʰ콵֤ǡˤ顢500ϡ543ܤ餤ͽۤȤޤƬˤϤäƤΥȤǤ錄ȤƤϤ줷ȤǤϺɤΥޥ뤵ˤƬޤ
줫⤺äȳڤޤƲޤ
1031ʷ 11:11:05 MAIL:kennji72001@yahoo.co.jp 26073
ޥ
#26071,#26072,#26073

꤬Ȥޤ֤⤦ʡפȤפäƤΤǤˤʤäŤޤʺդݤǤΤ...

äȤȤǥХ餷Ƥޤޤ¤ϻ䡢ǯΣΩƿΤޤơơʡˡּĹפˤʤäƤޤޤʤȤäƤҰϻƣͤǤˣ裱ι򤪵٤ߤΤͳϼ¤ϥǤʤ櫓ǡȤˤȾǯ֡ϤäƤʤ꤬äꡢߥ¿äꤷޤƿޤǤ褦䤯夤ƤϤޤΤǡ䤹֤˶ᤤ٤ˤȤ褦ˤʤäƤޤޡˤ衢ޤ굤ĥ餺˵ڤˤ³ƤĤǤ

Ȥ櫓ǡ줫ꤤޤm(__)m
PowerBook G4 1031ʷ 18:23:19 MAIL:masaru-y@sansu.org HomePage:26074