ߡ
ο餱ᤷ

ɽ礭񤭤(ߣ)Τ԰ġ

ޤŪʴǡ
910ڡ 0:08:12 MAIL:amimorisama@hotmail.com 35016
㡼ߡ
> ο餱ᤷ
ƱǤ

ϩθĿ (񤭹) ߤʴDz򤭤ޤ
ǯ򸫤ޤ
Ȥ礦Ȥ䤯 910ڡ 0:16:02 MAIL:kakuromaster@star.cims.jp 35017
tomh
Υåƥפؤϡ٤礦Τ­ȤȤ򷫤֤

ơǡȡ¡á











ǡǸˣĤȣƤŤ˹ԤΤǡ48+48=96̤Ȥʤޤ.
ԡ 910ڡ 0:21:53 MAIL:tomh@yahoo.co.jp HomePage:H to M35018

90ʬˣˤˡͤ롣
ϡ6󡢺3ԤФ褤
EˤäƤϤʤ(ξ郎ճ˸)
ȤȤǤäѤä򡦡

ޤɸʿ̤ͤ롣
򱦤βļ򺸤βȤ롣
ϡʿ̾(00)(63)غǾǰư뤳Ȥ֤롣
ޤEˤäƤϤʤפȤϡ(40)(51)(62)̤ʤפ֤롣
ϡΥפˤϤʤߤμʤǿ夲С48̤ʬ롣
Ʊͤˡˤˡ48̤
äơ484896(̤)Ǥ롣

⤷֤Υפˤʤߤμʡפʬʤͤ顢ǼĤΤ餻ƤʤȤ̵ޤΤǡ

910ڡ 0:31:41 35019
Mr.ǥ
tomh #35018 Ʊɽޤ
ʤǤ⡢οɽ˵դΤ˻֤ꤹޤ
910ڡ 0:33:21 35020
ߤ
ƻο夲Τ­ߥ򤷤ʤ褦˿Ťˤޤ

Ȥˣʬ塢ʬ塢ʬĤξοϰʲ̤ꡣ
ģ
¡ȡģ
áǡģ
ġơģ
šģ

910ڡ 0:44:01 35021

ᾯ̣ˤޤĤޤ
βˡϡޤ44ޤǤοľ񤤤ơ04ޤǤ10ƥåפǤѥͤޤ

Ĥޤ82˹Ԥѥͤޤ

8ʤ5ԤФ褯8*7*6656̤ꡣ

Τ464夤ƤޤΤϳ4ʤΤ56-8=48
2ܤʤΤ96
910ڡ 2:11:47 35022
⡼ޥ
ä...ȤޤäƤޤä...^^;
ƻ...
1,2,3,4,5,6,7 ǡ
4ξ硧1+5+4H2+4H1=1+5+10+4
5ξ硧1+4+3H2+3H1=1+4+6+3
6ξ硧1+3+2H2+2H1=1+3+3+2
7ξ硧1+2+1H2+1H1=1+2+1+1
=4+14+20+10=48
2ܤʤΤ...96

4ξ˵դʤä...^^;...
ߤˡ...
ߤʤΤٶ...Orz
910ڡ 3:07:52 35023
abcba@jugglermoka
AEޤǤλ֤4ǡ10Ȥ3˹Ԥ
3:4
2+1:5+4+3+2=14
1+2:1+2+3+4=10
1+1+1:4+6+6+4=20
Τˡ(4+14+10+20)2=96.
910ڡ 7:33:47 35024
???
Option Explicit
Dim a(10) As Integer
Sub Macro1()
Sheets("Sheet1").Select
Cells(1, 1).Value = 0
Call saiki(1)
Range("A1").Select
End Sub
Sub saiki(ByVal n As Integer)
Dim p As Integer
Dim j As Integer
a(n) = 1
While a(n) <= 7
p = 0
For j = 1 To n
p = (p + a(j)) Mod 8
Next j
If p <> 4 And n < 10 Then
Call saiki(n + 1)
ElseIf p = 4 And n = 10 Then
Cells(1, 1).Value = Cells(1, 1).Value + 1
For j = 0 To 10
If j = 0 Then
p = 0
Else
p = (p + a(j)) Mod 8
End If
Cells(Cells(1, 1).Value, j + 2).Value = rest(p)
Next j
Range("B" & Cells(1, 1).Value).Select
End If
a(n) = a(n) + 6
Wend
End Sub
Private Function rest(ByVal n As Integer) As String
Select Case n
Case 0
rest = "A"
Case 1
rest = "B"
Case 2
rest = "C"
Case 3
rest = "D"
Case 4
rest = "E"
Case 5
rest = "F"
Case 6
rest = "G"
Case Else
rest = "H"
End Select
End Function

ABCDCDCDCDE
ABCDCDCBCDE
ABCDCBCDCDE
ABCDCBCBCDE
ABCDCBABCDE
ABCDCBAHGFE
ABCBCDCDCDE
ABCBCDCBCDE
ABCBCBCDCDE
ABCBCBCBCDE
ABCBCBABCDE
ABCBCBAHGFE
ABCBABCDCDE
ABCBABCBCDE
ABCBABABCDE
ABCBABAHGFE
ABCBAHABCDE
ABCBAHAHGFE
ABCBAHGHGFE
ABCBAHGFGFE
ABABCDCDCDE
ABABCDCBCDE
ABABCBCDCDE
ABABCBCBCDE
ABABCBABCDE
ABABCBAHGFE
ABABABCDCDE
ABABABCBCDE
ABABABABCDE
ABABABAHGFE
ABABAHABCDE
ABABAHAHGFE
ABABAHGHGFE
ABABAHGFGFE
ABAHABCDCDE
ABAHABCBCDE
ABAHABABCDE
ABAHABAHGFE
ABAHAHABCDE
ABAHAHAHGFE
ABAHAHGHGFE
ABAHAHGFGFE
ABAHGHABCDE
ABAHGHAHGFE
ABAHGHGHGFE
ABAHGHGFGFE
ABAHGFGHGFE
ABAHGFGFGFE
AHABCDCDCDE
AHABCDCBCDE
AHABCBCDCDE
AHABCBCBCDE
AHABCBABCDE
AHABCBAHGFE
AHABABCDCDE
AHABABCBCDE
AHABABABCDE
AHABABAHGFE
AHABAHABCDE
AHABAHAHGFE
AHABAHGHGFE
AHABAHGFGFE
AHAHABCDCDE
AHAHABCBCDE
AHAHABABCDE
AHAHABAHGFE
AHAHAHABCDE
AHAHAHAHGFE
AHAHAHGHGFE
AHAHAHGFGFE
AHAHGHABCDE
AHAHGHAHGFE
AHAHGHGHGFE
AHAHGHGFGFE
AHAHGFGHGFE
AHAHGFGFGFE
AHGHABCDCDE
AHGHABCBCDE
AHGHABABCDE
AHGHABAHGFE
AHGHAHABCDE
AHGHAHAHGFE
AHGHAHGHGFE
AHGHAHGFGFE
AHGHGHABCDE
AHGHGHAHGFE
AHGHGHGHGFE
AHGHGHGFGFE
AHGHGFGHGFE
AHGHGFGFGFE
AHGFGHABCDE
AHGFGHAHGFE
AHGFGHGHGFE
AHGFGHGFGFE
AHGFGFGHGFE
AHGFGFGFGFE
910ڡ 11:36:42 35025
uchinyan
Ϥˤϡơϡ
򸫤Ƥ˻פäΤϡ˽ꤵƤȻפΤǤΩΤվưοǤ

(ˡ1)
10 ʬȤ٤εٷƽ˰ư 100 ʬΤ 10 ΰư E ˰ưǤ뤳Ȥˤʤޤ
ޤưɬ٤εٷƽˤǤʤȤ顤Ƶٷƽؤΰưλϡ٤εٷƽؤΰưλ¤ˤʤ뤳ȡ
10 ̤ǰ E ˰ư餽ϥȤ¤ˤͿʤȡʤɤθȡ
Ƶٷƽؤΰưλ F G H A B C D E ¤٤ƽ񤯤ȡΤ褦ˤʤޤ
00 ܡ000 000 000 001 000 000 000 000
01 ܡ000 000 001 000 001 000 000 000
02 ܡ000 001 000 002 000 001 000 000
03 ܡ001 000 003 000 003 000 001 000
04 ܡ000 004 000 006 000 004 000 002<-----10 ̤ʤΤ 000 ˥ꥢ
04 ܡ000 004 000 006 000 004 000 000
05 ܡ004 000 010 000 010 000 004 000
06 ܡ000 014 000 020 000 014 000 008<-----10 ̤ʤΤ 000 ˥ꥢ
06 ܡ000 014 000 020 000 014 000 000
07 ܡ014 000 034 000 034 000 014 000
08 ܡ000 048 000 068 000 048 000 028<-----10 ̤ʤΤ 000 ˥ꥢ
08 ܡ000 048 000 068 000 048 000 000
09 ܡ048 000 116 000 116 000 048 000
10 ܡ000 164 000 232 000 164 000 096<-----10 ܤʤΤǤ줬
ǡϡ96 ̤ꡤˤʤޤ

(ˡ2)¾ˤǤʡȻפäơפĤˡݡ(^^;
10 E ˰ưˤϡ9 D F ˤɬפޤ
о顤9 D ˤ F ˤΰưλξοƱʤΤǡD ˤͤƸ 2 ܤޤ
9 D ˤˤϡ9 ܤˤ E ΰưϤʤΤǡ8 C ˤɬפޤ
C A ľܤˤ 2 ǰưΤǡ8 Τ 5 ײ 3 ȿײǰư뤳Ȥˤʤޤ
ϡñˤϡ8C3 = (8 * 7 * 6)/(3 * 2 * 1) = 56 ̤ꡤǤ
ˤϡ8 ̤ E ޤǹԤäƤޤ˹ʤ礬ޤޤƤΤǡޤ
A E ޤǤľܤˤ 4 ǹԤȤθȡE ޤǻײ 4 ǹԤ 6 ǹԤβǽޤ
(ȿײ 3 󤷤ƤʤΤǡȿײϤꤨޤ)
4 ǹԤϡĤ 4 Τ 1 ײ 3 ȿײ C ˰ưΤǡ4C1 = 4 ̤ꡤǤ
6 ǹԤϡĤ 2 ȿײ C ˰ưޤ
4 E ƤϤʤΤǡ4 C ˹Ԥ 2 ײ E ˹Ԥꤨޤ
ơ4 C ˹ԤΤϡ3 ײ 1 ȿײʤΤǡ4C1 = 4 ̤ꡤǤ
ǡ˹ʤ 4 + 4 = 8 ̤ ǡɡ8 C ˤΤ 56 - 8 = 48 ̤ Ǥ
ꡤ10 E ˰ưϡ48 * 2 = 96 ̤ꡤˤʤޤ
ͥνȡ 910ڡ 13:08:37 MAIL:uchi@sco.bekkoame.ne.jp 35026
̤ꤹ
ͤ#35018Ʊɽ񤭤ޤ
ѥ뻰ѷˤʤǤ͡
ȤƤǤ͡
910ڡ 13:49:45 35027
Hana chan
ߤʤ꤫Ǥ2󤺤5åȤưȹͤơŪʼˡǤȤޤ
A2ưǡA˹Ԥϡ2̤ꡢC, G˹ԤϤ줾1̤ꡣ
2ǤϡAϾҤ̤ꡢCϡAؤ1̤ꡢCؤ2̤ꡣǤϡAؤ1̤ꡢGؤ2̤Ȥʤޤǡ2åȽäơAؤ6̤ꡢC, GˤϤ줾졢4̤ιԤޤ
3åܤƱͤη׻򤹤ȡؤ20̤ꡢC, GˤϤ줾졢14̤ιԤޤ
4åܤλǤϡCGˤʤФʤ餺ޤ5åܤEܻؤƱ2⤯ʤ1̤ꤷԤϤޤ
AAΥѥõơٷ׻ȡ4åȽλˤϡCGãƤ硢줾48̤ꤢޤ
Τ5åȽλEˤοϡ96Ȥʤޤ
򤯤Τ5ʬ٤ǤߤޤΤǡƥȤƤƤ֤Ǥ礦
ǤФäȥޡȤ˲򤭤äǤ
910ڡ 14:13:46 35028
uchinyan
ǼĤɤߤޤ
ࡤ褯ʬʤˡ⤢Τɡ (^^;

#35016#35017#35019
ײΰư򲣤ȿײΰưĤˤơʻҾηϩͤ
E ãϡ̲ᤷƤϤʤȤªϩΰưȹͤˡ
ɡ#35018ʤɤƱ櫓ǤͤȤƤϡ̤Ȼפޤ
ĿŪˤϡ֤ʤۤɡμȤΤפȴޤ

#35018#35020#35021#35026(ˡ1)#35027#35028
ɽȤäơƲεٷƽؤΰưλξο˷׻ˡ

#35022
-4 4 ޤǤοľ񤤤ơ 0 4 ޤǤ 10 ƥåפǤѥ֤ƹͤˡ

#35023
Ƶٷƽ꤫ΰưͤƤ褦ˤפޤ褯ʬ餺
4ξ硧1+5+4H2+4H1=1+5+10+4
5ξ硧1+4+3H2+3H1=1+4+6+3
6ξ硧1+3+2H2+2H1=1+3+3+2
7ξ硧1+2+1H2+1H1=1+2+1+1
=4+14+20+10=48
4 7 ϡ
4ξ硧1+5+4H2+4H1=1+5+10+4 = 20
5ξ硧1+4+3H2+3H1=1+4+6+3 = 14
6ξ硧1+3+2H2+2H1=1+3+3+2 = 9
7ξ硧1+2+1H2+1H1=1+2+1+1 = 5
= 5 + 9 + 14 + 20 = 48
Ǥ礦
4, 10, 14, 20 ϡ#35019ʤɡ#35018ʤɤ˽ФƤʤΤǡäʴ⡥
䤬򤷤Ƥ褦Ǥפϡ
1 + 05 + 10 + 04
1 + 04 + 06 + 03
1 + 03 + 03 + 02
1 + 02 + 01 + 01
----------------+
4 + 14 + 20 + 10
ȡĤ­Ƥ褦Ǥ

#35024
¿ʬA E ޤ 40 ʬǰưǤΤǡ100 ʬΤײ 7 ȿײ 3 󡤰ư뤳Ȥ顤
ȿײ 3 μ¸ѥ3 Ϣ³2 Ϣ³ + 1 󡤤ʤɡǾʬƿˡ

#35025
ץˤˡ

#35026(ˡ2)
80 ʬ D( G)ˤʤȤʤȤ顤40 ʬ60 ʬ E ʤɤƿˡ
¼#35022ƱΤ褦Ǥ
׻ϡ(8C3 - 4C1 * 2) * 2 = (56 - 8) * 2 = 48 * 2 = 96
ñʤΤǤͤϡ㴳ݤǤ
ͥνȡ 911ʶ 11:16:21 MAIL:uchi@sco.bekkoame.ne.jp 35029
⡼ޥ
#35029
uchinyan ^^;
錄ΤϿ夲...äѤΤǤ...
4+ ϡ줾μγƹĤ­ΤǤ...䤳ȤǤߤޤ...^^;

ǽˡA(=4)EޤǤξΡʤĤͤˤ꺸¦ȤȤΡ˿ͤΤ켰
Ȥϡ5,6,7 ΤΤǤʤDZ¦ȤȤƤˤʤΤ...ä礯ƤξͤȤˤʤΤ...
4 5,6,7 ˤƤäͤޤ...Orz...
錄ˡǤϴְ㤤Ǥ...^^;;
910ڡ 15:31:37 35030
ޥ
ۤɡϲμȤǡ2nΰưEãΨפȤ򤷤Ƥߤޤ褿ΤϣͤǤ(^^;
PowerBook 910ڡ 15:55:20 MAIL:masaru-y@sansu.org HomePage:Men @ Work35031
uchinyan
#35030
ȡĤ­ȡפκǽ餬 4 ǤϤʤơ5 ˤʤäƤޤǤɡ
ͥνȡ 910ڡ 15:55:47 MAIL:uchi@sco.bekkoame.ne.jp 35032
Mr.ǥ
#35031ޥ뤵
2nΰưǽƣŤã׳ΨʤΤ2nΰưˣŤãƤФ褤
ǣŤ̲ᤷƤ褤ˡ׳ΨʤΤɤǤ礦

Ԥʤ顢(2n)!/{(n-2)!*(n+2)!*2^(2n-1)}
910ڡ 16:41:23 35033
#35031
{(2+2)^(n/2-1)/2-(2-2)^(n/2-1)/2} / (4^(n/2-1)-2^(n/2-1))
Ǥ
910ڡ 17:00:06 35034
#35031
礳äȽ
{(2+2)^(n-1)/2-(2-2)^(n-1)/2} / {4^(n-1)-2^(n-1)}
910ڡ 17:02:43 35036
ޥ
#35033
ԤΤۤ2n˽E夹ΨˤǽꤷƤߤޤ
PowerBook 910ڡ 17:05:55 MAIL:masaru-y@sansu.org HomePage:Men @ Work35037
#35033
{(2+2)^(n-1)/2-(2-2)^(n-1)/2} / (2*n)
ʡ
910ڡ 17:10:12 35038
#35033
{(2+2)^(n-1)/2-(2-2)^(n-1)/2} / 2^(2*n)
910ڡ 17:25:32 35039
⡼ޥ
#35032
uchinyan ^^

4ξ硧1+5+4H2+4H1=1 +5 +10 +4
5ξ硧1+4+3H2+3H1=1 +4 +6 +3
6ξ硧1+3+2H2+2H1=1 +3 +3 +2
7ξ硧1+2+1H2+1H1=1 +2 +1 +1
4,14,20, 10
Orz...^^;

ޥ뤵...under consideration...^^
910ڡ 19:45:40 35040
uchinyan
#35040⡼ޥ󤵤
ȤǤʸ̤Ĥ­Ǥ͡λǤ

#35037ޥ뤵
󤴤Ȥ٤εٷƽؤΰưΨȤΤ
2nγƵٷƽؤΰİĤΰưλΨȤΤ
ɤʤǤ礦
ͥνȡ 910ڡ 22:26:37 MAIL:uchi@sco.bekkoame.ne.jp 35041
abc
#35031 ޥ뤵
2n˽E夹ΨP(2n),C饹Ȥ2n˽E夹Ψq(2n)ȤȡоG饹Ȥ2n˽E夹Ψq(2n)Ǥ
ΤȤΩޤ
p(2n)=(1/2)*p(2n-2)+(1/2)*q(2n-2)ĭ
q(2n)=(1/4)*p(2n-2)+(1/2)*q(2n-2)ĭ
餫顢p(2n+2)-p(2n)+(1/8)*p(2n-2)=0Ȥʤޤ
p(2)=0, q(2)=1/4ꡡp(4)=1/8
򤤤
p(2n)={(2)/8}*[{(2+2)/4}^(n-1)-{(2-2)/4}^(n-1)]
Ȼפޤġ

ʤ裶嵭Τ褦ϢΩѤƵ뤳ȤǤޤ
A򥹥Ȥ2n˽E夹οa(2n),C򥹥Ȥƣ˽E夹οb(2n)ȤȡG饹Ȥ2n˽E夹οb(2n)Ȥʤꡢʤꤿޤ
a(2n)=2*a(2n-2)+2*b(2n-2), b(2n)=a(2n-2)+2*b(2n-2) a(2)=0, b(2)=1
줫顢a(4)=2, a(6)=8, a(8)=28, a(10)=96Ȥʤꡢ줬裶Ǥ
ޤ̤a(2n)=(1/2)*{(2+2)^(n-1)-(2-2)^(n-1)}Ȥʤޤ

911ʶ 9:38:02 35042
xyz
#35042
> p(2n)={(2)/8}*[{(2+2)/4}^(n-1)-> {(2-2)/4}^(n-1)]
äơ#35033Ʊ
911ʶ 9:06:31 35043
xyz
#35042

> p(2n)={(2)/8}*[{(2+2)/4}^(n-1)-> {(2-2)/4}^(n-1)]
ϡ#35039ƱǤ͡
911ʶ 9:08:38 35044
abc
#35044
ϤƱǤ
911ʶ 9:17:18 35045
uchinyan
#35042ޥ뤵
ϡ#35041
󤴤Ȥ٤εٷƽؤΰưΨȤΤ
βǤ͡
ʤСμ긵η׻Ǥ⡤2n˽ E ˹Ԥο (1/2)^(2n) ݤơ
sqrt(2)/2 * (1/2)^(2n) * ((2 + sqrt(2))^(n-1) - (2 - sqrt(2))^(n-1))
ˤʤäƤޤ󤳤ϡƱˤʤޤ
ͥνȡ 911ʶ 11:24:11 MAIL:uchi@sco.bekkoame.ne.jp 35047
abc
#35047
󤴤Ȥ٤εٷƽؤΰưΨȤΤ
βǤ͡

βǤοȳΨΰޤȡ2^2ndzäꡢ
¾ޤޤ͡
911ʶ 12:34:52 35048
ޥ
ֻ٤ʤޤ

Ǥabc󤬤ˤʤäƤޤ...ϥ줫εٷƽ˳1/2γΨǰư롢ȤƷ׻ޤϢΩȤˡƱǤͶƳĤСȤƤ⽽ʬ뵤ޤ
PowerBook 911ʶ 14:45:46 MAIL:masaru-y@sansu.org HomePage:Men @ Work35049
N.Nishi
פ֤˲򤤤Ƥߤޤ夲Ǥ
911ʶ 20:10:08 35050

ͤäΤǤͤ
912ڡ 21:50:27 35051

http://www.geocities.jp/challenge_test/
ߡǡ0ڤȤʤޤ
Ǥ֤˹礦⤷ޤ󤬡֤0᤮ƤƤ⡢̤ͭȤޤΤǡʤξϺ˥Ȥ򳫤Ƥɬפޤ˶̣ΤϤҤäƤߤƤ

0ˤʤȡ13ʹߡˤϤĤ˻꤬ꤵޤ
ֻ֡פȤϤ餪ꤤޤ
¿ΤǤäȤ뤫⤷ޤ
ʬμϤɤ뤫Ȥĩ路ƤߤƤ
912ڡ 22:03:06 HomePage:35052
baka-koba
Ͼ櫓狼ʤʤޤ
ǤդéȴñˤǤޤ
ʬξ֤ǤEΤ
ʬξ֤ǤFDҤȤĤ
ʬξ֤ǤGCҤȤĤ
ʬξ֤ǤHFBDҤȤĤ
ġά
ʬξ֤ǤBHġFD
äƣʬξ֤ǤACG
Aȯοϣ
ޤïȤ֤äƤޤ͡ʷǼɤǤޤˡޥ
ˤäƤ뼫⤢ޤ
913 1:00:10 35053
baka
ϣδְ㤤Ǥޥ
ǸEξ֤ޤ񤤤ƤдñǤ
ҤȤޥ
914ʷ 1:01:22 35054