٥륯åĥ
٤Ҥޤ
硢֤5̤ꡢ֤2̤ꡢȥ14̤ꡣ
5̤ꡣ
4̤ꡣ
оΤʤΤͤ142+52+442
818ڡ 0:10:15 44978
٥륯åĥ
ǽϲˡʤͤƤߤǤɻפĤʤǤȤǤߤʤβˡ򻲹ͤˤƤޤ
818ڡ 0:11:55 44979

Ф
ɤˤޡȤ˲򤤤ƤȰյΤǤ
ɥǡ-Ĺʬܿƻ˿ޤ
5ܡۥ-,-,-,-,-Υפ2̤
4ܡۥ-,-,-,-,-Υפ10̤
-,-,-,-,-Υפ5̤
3ܡۥ-,-,-,-,-Υפ10̤
-,-,-,-,-Υפ10̤
2ܡۥ-,-,-,-,-Υפ5̤
ʾ碌42̤

䤫ʲˡԤƤޤm(__)m
818ڡ 0:23:41 44980
ǯ
ޤ
ˤơʥˡߣܥ
818ڡ 0:24:50 44981
ޥ
꤫ͭ̾ʤȻפäΤǤǤʤäΤ⡩2016ǯ򤤤ƤơФƤΤҼڤޤ
iMac 818ڡ 0:29:27 HomePage:44982
ե꡼ɥ
ֳ֤Ȥϸ¤ʤǤص ֳ֤Ȥơ
ꤦϡ
ľ¤ޤʥ ʤɡ
Ϥλޤʤɡ
ϤλΤ1ܤΤߡʥ ʤɡ
ʤα߼
4줾
22520̤
10̤
10̤

ȹͤޤ
818ڡ 0:33:54 44983
鯤ο
гܤ5Ȥξ硦̤
ĹгΥ줿ĺΰȤξ硦10̤
ĹгΥ줿ĺΣȤξ硦10̤10*2/2=10
ĹгΥ줿ĺΤξ硦20̤5*2*2=20
42̤
818ڡ 0:35:35 44984

(饫)
餫2Ĥξ(1)4Ĥξ(2)6Ĥξ(5)8Ĥξ(14)ηȤ߹碌Ƥ
ʬǷФƤǾʬ
ȷФƤϻĤ8ĤʤΤ14̤ꡣ
ȷФƤϻĤ2ġ6ĤʬǤƤΤ15=5̤ꡣ
ȷФƤϻĤ4ġ4ĤʬǤƤΤ22=4̤ꡣ
ä14252442̤ꡣ

6ġ8ĤξοˤĤƤǤƱͤʬǤƿǤ
818ڡ 0:36:55 44985

1Ʊ򤤤ΤǡĶå1̤Ǥ
David PatricThe Art of Problem SolvingIntermediate Counting & Probability Problem 10.8ˡ10ͤοͤߤˤʤäơӤʤ褦˰ꤹˡϲ̤ꡩȤǽФƤޤ

οͿȣ;äƤޤΤǡͤǹͤ
2̤͡
4̤͡
6̤͡
ȡޤǤ̤ƹͤޤ

8ͤϿ¿ʤΤǡʲΤ褦˹ͤޤ
ʤܤ˽񤤤ƤޤǤߤޤ


8ͤơꤷƹͤޤ
ʿޤȤ狼䤹դǤϤ狼ˤƿʤΤǤ
ȥޤϥȥҤȡĤηҤ6ͤξƱʤΤǡ
5210

ȥޤϥȥҤȡȥΩƤޤĤޤꡢɬƤޤ

ȥҤȡɬŪ˥ȥҤʤĤ4ͤξƱ
ȥҤ⡢оΤˤʤ뤫Ʊ͡
äơ224
10+414

10͡
ȥޤϥȥҤϡĤ8ͤˤĤƹͤФΤ
14228̤
ȥޤϥȥҤϡȥޤϥȥɬŪ˷Ҥꡢ줾Ĥ6ͤˤĤƹͤФΤ
5210̤
ȥȷҤϡ4ͤȡ4ͤηҤͤФΤǡ
224̤ꡣ

äơȡ28+10+442̤ꡣ

PatricƤޤ

٤οͤȰꤹȡ٤οͤ줫Ȱꤹ
818ڡ 0:40:53 44986
(maa)
ǸΣԤϾä˺Ǥߤޤ
818ڡ 0:44:24 44987
Mr.ǥ
ʬΤ褦̤(̤)
ξ¦Σΰϣ*=4(̤)ġס5*4=20̤

ԭΤ褦̤
ʬΤ褦ˣΥ줿֤ܤʥϤηˡ˰10̤
ۤηϼưŪˣ̤˷ޤ롦ס10*1=10̤
Υ줿֤ܤ10̤
ۤηϼưŪˣ̤˷ޤ롦ס10*1=10̤
٤ɤ̷־硦̤

20+10+10+2=42̤

ʾΤ褦ˡ櫓Ƶޤ
818ڡ 1:08:18 44988
鯤ο
˿ͭ̾2000ǯ˽ꤵƤޤ
ޤ򤤤Ƥʤä򤭤˳ѤǤ
¤ϥɤĺȷФ뤫ǾʬƿȡΩޤ
2nѷλN(n)Ȥص塢N(0)1Ȥȡ
N(n)ᦲN(k)N(n-1-k)(k=0,,n-1)


N11
N22
N32+1*1+2=5
N4=5+1*2+2*1+5=14
N5=14+1*5+2*2+5*1+14=42
//

818ڡ 1:05:09 44989
ǯ
ǤϤʤʤΤǡ⤦ͤƤߤޤ
ǺʬΥͤ롣Ĥʬ䤷ʤȷ٤ʤФƤ롣
2Ĥʤ1̤
4Ĥʤ(0,2) (2.0)ʬΤǡ1+1=2̤
6Ĥʤ(0,4) (2,2) (4,0)ʬΤǡ2+1+2=5̤
8Ĥʤ(0,6) (2,4) (4,2) (6,0)ʬΤǡ5+2+2+5=14̤
10Ĥξˤϡ(0,8) (2,6) (4,4) (6,2) (8,0)ʬΤǡ14+5+2*2+5+14=42̤
#44989鯤οͤƱǤ

818ڡ 1:14:42 44990
̤ꤹ1
Фϡ
ܤΥȥ饯äƤޤ^ ^
ơꡣܤ2ĤʬƹͤΤ餯٥ȤǤ͡
10ĤʤΤǰܤǤ櫓Ȥˤ狼θĿȤƤꤨΤ
(0,8)(2,6)(4,4)(6,2)(8,0)Ǥ
˱߼nĤλn2ܤΤƱΤľDZߤʬȤʬPnȤƤȡ
P21
P42
P65
P814
Ǥ
äP10
14+15+22+51+1442
Ȥʤޤ
񡡡 818ڡ 1:20:17 44991
ߤ
ֳ֤ȹͤ롣
ʤȾ¤硢ξ¦Ȳ¦ϣ̤ꤺġ
Ⱦ¤̤߾¦̤߲¦̤ᣲ̤ꡣ
ʤ˺ĹȥΤ褦ˡ֤ˣ硣ĤΥη
֥פ֥ס
оͤȤɤ⣱̤ꤺĤʤΤǡ̤ꡣ
ʤϡܤǣȤ־
Ϥ뤫Ϥ뤫ʤΤǡ̤ꡣ

ʾꣲܣܣᣴ̤ꡣ
818ڡ 1:27:46 44992
dyslexia
֤ θƤϤޤޤ͡
818ڡ 1:27:36 44993

ԥåƤޤ
ʤ˥ѥϤʤʤΤǡʣѥˡƥѥο­ޤ
ܣܣܣܣܣᣴ
Ϻꡡ 818ڡ 1:31:13 44994
JUST_COMMUNICATION
Ǥ
ι񡡡 818ڡ 1:43:53 44995
ϥ饮㡼ƥ
Ϥ褦ޤο϶
818ڡ 2:24:13 HomePage:湩ؤ˥44996
ˤ⡼
ˤϡ
ҤǺޤ˶ᤤȤ̣襤ޤ
Ƥ̵ʤäƤޤ
Ҳ˺ޤɥåץȤʤ褦Ƨĥ뤷ʤΤǤ

֤ʤ⿴򶯤ơȡʤפȼʬ˸ʹƤޤ
ʤ륹ޥۥ˽ФƤ륻դǤΣʣұؤιĤ˽񤫤Ƥޤ

õ

Ǥ޶ؤοǯǤ͡
ʲβǤ

ɬ׾ͻ
ײorȿײˤˣСʣˡСʣˤȤΥ
ޤ߼Σ˸Ĥξ̤˷֥ѥ򡡣ΡʣˡˤȤ롣
ξˤϡɤ⡢ֶФפǸߤ˷Ф뤳Ȥɬס
ʣФȡФ줿¾ȷФȤƤޤ

ڷ׻
ϡΡʣˤ뤳ȡ
ΡʣˣΡʣˣΡʣˣΡʣˣΡʣˤν֤ǵ뤳Ȥˤʤ롣
Ρʣˡᣱ̤
Ρʣˡᣲ̤ꡡޤǤϤʬ롣
ΡʣˤˤĤơСʣˤɤȷӤĤƤ뤫Ǿʬơʲ̤ꡣ
i)СʣˤȣСʣˡͻĤΣĤηϣΡʣˡᣲ̤
ii)СʣˤȣСʣˡξ¦γƣηϣΡʣˡߣΡʣˡᣱ̤
iii)СʣˤȣСʣˡi)ƱΡʣˡᣲ̤
ʾ塡Ρʣˡᣵ̤

ΡʣˤСʣˤȷǾʬ
ΡʣˡܣΡʣˡߣΡʣˡܣΡʣˡߣΡʣˡܣΡʣˡᣵܣܣܣᣱ̤

Ρʣˤϡʲi) ii) iii) ΤȤ
i) Ρʣˡߣ14ߣ̤ СʣˤȣСʣˡСʣˤȣСʣˡ
ii)ΡʣˡߣΡʣˡߣʣߣ̤ СʣˤȣСʣˡСʣˤȣСʣ
iii) ΡʣˡߣΡʣˡʣߣ̤ СʣˤȣСʣ

碌ơ̤ˡ
ʾ
޻Ա¶ʼΡˡ 818ڡ 2:26:43 44997
ϺĹ
פ֤ΰȯǽ񤭹
Mr.ǥͤƱȻפޤ2+10+10+20=42
쥹󥰽ҡǤͤ
ϥԥåʤȸʤ̴档
㤤ܤޤǼޤ
818ڡ 9:27:16 44999
̤ꤹ1
쥹󥰽ҶФw
񡡡 818ڡ 11:34:37 45000
uchinyan
Ϥˤϡơϡ
ΤͤΤͭ̾ǥǤ͡߼ 2n Ĥ (2n)Cn/(n+1) ̤ꡣ
Ǥϡ 2n = 10n = 510C5/(5+1) = 252/6 = 42 ̤ꡤǤ
Τ褦ΤäƤнֻǤΤʤȤƤ⡤ŪǤΤ褦˹ͤ񤷤ʤ
ĥäƿƤⲿȤʤΤǡȤƤɸŪǤ礦
ʴ

߼ k Ĥο Ak ̤ Ƚ񤯤ȤˤޤȡΤ A10 Ǥ
ȷǾʬޤ
ȷ־硤 8 Ĥ餺˷־οˤʤΤǡA8 ̤ꡣ
ȷ־硤¾ȷ֤Ȥ ȸäƤޤΤ 0 ̤ꡣ
ȷ־硤 2 Ĥ餺˷־οȥ 6 Ĥ餺˷־οѤˤʤΤǡA2 * A6 ̤ꡣ
ȷ־硤Τɤ줫¾ȷ֤Ȥ ȸäƤޤΤ 0 ̤ꡣ
ȷ־硤 4 Ĥ餺˷־οȥ 4 Ĥ餺˷־οѤˤʤΤǡA4 * A4 ̤ꡣ
ȷ־硤Τɤ줫¾ȷ֤Ȥ ȸäƤޤΤ 0 ̤ꡣ
ȷ־硤 6 Ĥ餺˷־οȥ 2 Ĥ餺˷־οѤˤʤΤǡA6 * A2 ̤ꡣ
ȷ־硤¾ȷ֤Ȥ ȸäƤޤΤ 0 ̤ꡣ
ȷ־硤 8 Ĥ餺˷־οˤʤΤǡA8 ̤ꡣ
ʾǤ٤ƤʤΤǡ
A10 = A8 + A2 * A6 + A4 * A4 + A6 * A2 + A8
ޤǡA8A6A4A2 ˤĤƤƱͤ˹ͤȡ
A8 = A6 + A2 * A4 + A4 * A2 + A6A6 = A4 + A2 * A2 + A4A4 = A2 + A2A2 = 1
ǡ
A2 = 1A4 = 1 + 1 = 2A6 = 2 + 1 * 1 + 2 = 5A8 = 5 + 1 * 2 + 2 * 1 + 5 = 14
A10 = 14 + 1 * 5 + 2 * 2 + 5 * 1 + 14 = 42
Ĥޤꡤ42 ̤ꡤˤʤޤ

ʤߤˡ嵭ʬޤk ΤȤϡAk = 0 ̤ꡤǤ
k ΤȤk = 2n ȤȡAk = (2n)Cn/(n+1) ̤ꡤǥˤʤ뤳Ȥϡ
ŪˤʤΤǾάޤ̣Τϼ

http://aozoragakuen.sakura.ne.jp/taiwa/taiwasen/node8.html
̤ˤĤƤʤܤǫ˽񤫤ƤƻͤˤʤȻפޤ

http://ryugen3.sakura.ne.jp/renzoku.html裲ΡΤϡ
ۤɤľܤ˲򤤤Ƥޤ
818ڡ 12:09:30 45001
uchinyan
ǼĤɤߤޤ


ʲεҤϡ⤽ϻ伫ȤٶΥ˲᤮ʤΤǤ
޳ѤʤΤǤͤޤǤˤȻפäƸΤǤ
Ȥ⤢äơˡʬϻ F.A.Q. ΡֻϰϡפεҤ򻲹ͤˡ
ĿͤǤиǼŪ˹ԤäƤΤǤäơҴŪʤΤǤϤޤ
ޤǤ⤴ͤǤ餺

ࡤϢǤפä路Ƥ褦Ǥ͡ɸŪ񤫤ʡ

#44978#44981
ȷǾʬƿˡ

#44980
ʬĹĹƱܿǾʬƿˡ

#44983#44988#44994#44999
Ǿʬƿˡ¿ʬܺ٤̯˰㤦Ȼפޤ

#44984
¿ʬǤĤʤѷͤгܤʬƿˡ

#44985#44986#44989#44990#44991#44997#45001
㤨ХȷǾʬʤɤ򤷤ݤͤƲ򤯲ˡ

#44992
ʬδ֤ˤ߼θĿǾʬƿˡ

#44993#44995#45001
ͽۤΤäƤƲ򤯲ˡ

ʤ
#44982
꤫ͭ̾ʤȻפäΤǤǤʤäΤ⡩
Τ˰ճǤʤȤ⡤ϢȻפäΤǤ
ȸȴΤϤΤʤ񤷤ʡȤϻפޤ
ä뤫ʡȻפäΤǤ
818ڡ 13:35:18 45002
ˤ
۱Dz򤭤ޤ
­ְ㤨ޤ(T_T)
818ڡ 17:37:50 MAIL:nikotan@fat.coara.or.jp 45003
ξ
Τ˺Ƥޤ
818ڡ 23:00:02 45004
2N.K.
Free TalkǤw
٤Ƥϥ󥬥롼Ϥޤä
äƤ褯40%ͤν񤭹ߤʡʼ
?????????????????????????????????????????????????? 818ڡ 23:33:30 45006
2N.K.
3dˤϤޤĤĤޤʡ
Ƶ٤ˤϥΥݤ
?????????????????????????????????????????????????? 818ڡ 23:38:57 45007
ԡ
#44982
ɤǤߤʡȤ⤤ޤ
Ƕᡢhttp://mathtrain.jp/catalanǥεɤǤƽäʾС
ۡ 819ʶ 9:17:07 45008
줬ȤǤ礦
߼ 2nʬ P1~P2n롣2nʬ ߤ˸ʤ nܤʬǷˡο ̤꤫ n1ʾȤ롣

ȱ

9ѷ 6ܤ г 7Ĥλѷ ʬ䤹ˡ ̤꤫ȤˤǤ
ѤǤޤ͡
𻳡 819ʶ 13:26:40 45009
̤ꤹ1
٤ܤ򤹤w
ʤȤά0ꤷޤw
褯ޤ͡
ˤФȤ褦ʡ
󥬥롼¤ߤαϤǤ(̣)
3dsޤ(ơ)
ɡǤ⤤Ǥ͡
Υ󤯤Ũ
Ƥï3dsǥեɤʤޤ󤫡
ޤäδϢ̵ƤǤ
񡡡 819ʶ 15:15:20 45010
2N.K.
#45010
ǤܤɤǤ
http://chibicon.net/slink/j062101/ȤǤǤ

ΤǤäʤ

󥬥롼ޥºɡ

3dsޤƤʤʡʥɥ

ΥнˡΤꤿɹάȸΤϵ

եɤʤshow!!

?????????????????????????????????????????????????? 819ʶ 17:52:32 45011
̤ꤹ棱
#45011
ޥǤܤɤ䤽Ǥ͡ؤ󤫤DLФ褤Ȼפޤ
ipadǤPCǤDLޤ
ΤǤäʤ䤽Ǥ͡ޤǤ͡
󥬥롼ޥºɢ䤽ʡ󥬥롼ۤι⤤աˤǤͣ
եɤʤshow!䤢꤬ȤޤȤޥᥤΤΥե쥳򵭺ܤƤޤ
3540-00183844
ʺͤäƤŻҵϥᥤ3DSå3DSͽ3DSʲ줿ˡipadPCСǤܻۤȤʪˤʤ餺ˡΡPCǤ

񡡡 819ʶ 18:35:29 45012
̤ꤹ棱
å3DSΥե쥳
43132688-2974
եɥꥹȤäĺ񤳤餬ȿޤΤ( ϡ)Υ
񡡡 819ʶ 20:31:15 45014
2N.K.
狼ޤ
ϿȤޤ
?????????????????????????????????????????????????? 819ʶ 20:38:07 45015
Ǹ

819ʶ 21:42:15 45016
2N.K.
褩Υݤ
()( *)!( *)!!(*ϡ*)!!!
?????????????????????????????????????????????????? 819ʶ 23:16:58 45017
̤ꤹ1
񡡡 820ڡ 10:15:20 45018
dyslexia
֤ θƤϤޤޤ͡
820ڡ 16:37:41 45022
2N.K.
ˡ
?????????????????????????????????????????????????? 822ʷ 16:15:27 45024
̤ꤹ棱
Τˡ
٥ޥꥫޤ󤫣
񡡡 822ʷ 21:28:12 45025
2N.K.
ۥȤǤ
ҤҤꤤޤww
?????????????????????????????????????????????????? 822ʷ 21:42:29 45026
2N.K.
ޥꥫϷ빽ޤǤ被
?????????????????????????????????????????????????? 822ʷ 21:46:53 45027
̤ꤹ1
Ǥ麣罸ȤƲ
Ǥ8:00餤ʤ
񡡡 823ʲС 9:14:54 45028
ԡ
#45007#45010#45011#45012#45013#45014#45015#45017#45018#45019#45020#45021#45022#45023#45024#45025#45026#45027#45028#45029#45030#45034www
ۡ 825ڡ 9:03:22 45029
ԡ
ï
ˤ
겼Ƥ
ۡ 823ʲС 12:16:28 45031
Mr.ǥ
٤ż֤˾äƤȤˡε(֤פܻؤƤʻϼꤽ)
Ҥɤã來ޤǤȤפФޤ
824ʿ 11:56:16 45032
2N.K.
˲˲˲˲˲˲˲˲˲˲˲˲˲˲˲˲
?????????????????????????????????????????????????? 824ʿ 15:39:00 45033
ʤʤ
<font color="red">ʤʤ</font>
824ʿ 15:56:13 45034
appoi-pangaea
μͤ

1100299398ܡš1001
ѥ󥲥 824ʿ 15:58:38 45035
appoi-pangaea
appoi-pangaeaͤ̾Ͽ2N.K.Ǥ
Ȥǡ#45033Ͻ񤤤ФʤǤ
񤤤ΤϤʤǤʳο
ѥ󥲥 824ʿ 17:28:37 45038
2N.K.
#45035
ܤϤΤäƤ
ʤʤ顢ñ˼Ͽ줿
Ƥʤ櫓ǡ򤤤ΤϹƤޤ

appoi-pangaeaͤγعͧã

?????????????????????????????????????????????????? 824ʿ 17:35:21 45039
ߤ
ԥå⽪äȤǣ겼

ԥå˻ȤؤΥޡɮ񤭤뤳Ȥͤޤ
ĤߤΣΰ֡ʿνˤ񤭻Ϥ̤ꤢǤ礦
롼Ȥդ餿ɤ롼ȤϤ줾̤νȤޤ
824ʿ 22:50:43 45040
2N.K.
áˤϹ
Ȼפä麣ˤϤ٤ߤʤ
㤢äȡ
?????????????????????????????????????????????????? 824ʿ 23:45:42 45041
̤ꤹ棱
ϵ٤ߤǤĻǰĤޤɤˤ1褿ͤǤɤ̤ϼʤäǤ礦դ˥åʡʥ
appoiN,KͧãǤͤޤ^ ^
ơǤޤ2100012001230023ܡġ50004950ˤȤ
21275002448ġ48962450ˤȤ롣
24ݡĤȤݤȤ32ݣ2ȤѷƤ3ʬ1Ϣ³ʿ¤θˤƤϤơĤȤä212750045230ˡ165540ȽФޤäȥåꤷˡꤽǤ͡⤷׻ߥƤ뤫ʡʴ
Ȥꤢޤ
䤹ߤʤ
񡡡 825ڡ 1:12:15 45042
̤ꤹ1
ɮ񤭤ꡢͤƤޤġ
񡡡 824ʿ 23:58:13 45043
ʪ
󤬵٤ߤȤȤŤ˺˸äƤߤޤ
ްǤ
42
825ڡ 0:10:21 HomePage:Twitter45044
ʪ
#45035
ץ1Ȥäxx줽ʤΤǤޤȤ˹ͤƤߤޤ...
825ڡ 0:12:20 HomePage:Twitter45045
ʪ
ǼĤͤʷϵޤƤ...?
825ڡ 0:20:37 HomePage:Twitter45046
ǯ
#45040No.785Ǥ͡
饹ȤʤСɤ饹ȤƤ⡢ؤĤĤIJäơ2*3!*3!*3!*3!ˤʤꤽǤ
饹ȤСǽ2Ĥؤͤ4!*3!*3!*3!
3!ΰ̣ϡְĤؤäʳ2Ĥθ뤬ǽθäƤʳ3ӡθǺäƤȽФƹԤʤФʤʤʳ2֡

ξޤǽ񤤤ɵ褦Ȼפä顢ͥåȤΥǥबξ㡣äȼؤƤ餤ޤ
#45035
1*(101-1)+2*(101-2)+3*(101-3)+...+100*(101-100)=101*(1+2+...+100)-(1^2+2^2+3^2+...+100^2)
Ǥ礦1^2+2^2+3^2+...+100^2ϻǤϤɤäƵΤǤ礦

ϵ٤ߤäΤǤ͡ä٤ʤäΤǻǰȤۥäȤȤ

825ڡ 14:17:35 45047
̤ꤹ棱
ͽ
̲˽벶ᡣͤʷϵޤǼġϡۤΤʡˡֵפ֤겼ޤ
Ƽ⡼Ӥߣʤ;֤Ȥơʡʲ
󤫤黻äݤꤷ겼뤳Ȥˤޤ
ʺ16Ǥ

񡡡 825ڡ 1:20:20 45048

45035Ǥ˴ؤѤФȤƤñǤ
[k=1..100](k(101-k))=101[k=1..100]k-[1..100](k^2)
=101*(100*101/2)-(100*101*201/6)=171700
Ȥʤޤ

̤ˡȤơ
1ס2ס3102Τ줫פ1*100
12Τ줫ס3ס4102Τ줫פ2*99
13Τ줫ס4ס5102Τ줫פ3*98
14Τ줫ס5ס6102Τ줫פ4*97
ʲƱͤ顤
Ϳ줿ϡ1102Τǰۤʤ3ĤȤʤꡤ
(102*101*100)/(3*2*1)=171700
ȤǤޤ
825ڡ 2:40:50 45049

45035Ǥ˴ؤѤФȤƤñǤ
[k=1..100](k(101-k))=101[k=1..100]k-[1..100](k^2)
=101*(100*101/2)-(100*101*201/6)=171700
Ȥʤޤ

̤ˡȤơ
1ס2ס3102Τ줫פ1*100
12Τ줫ס3ס4102Τ줫פ2*99
13Τ줫ס4ס5102Τ줫פ3*98
14Τ줫ס5ס6102Τ줫פ4*97
ʲƱͤ顤
Ϳ줿ϡ1102Τǰۤʤ3ĤȤʤꡤ
(102*101*100)/(3*2*1)=171700
ȤǤޤ
825ڡ 2:46:55 45050

ѷǾʬ
825ڡ 9:07:33 HomePage:45051
2N.K.
#45048
סǤ͡ݡ
꤬Ǥ

?????????????????????????????????????????????????? 825ڡ 10:23:20 45052
ԡ
#45052
ʤǤ͡
ۡ 825ڡ 10:27:53 45053
2N.K.
#45035
äݤ?˲򤯤ȡǽŪ˼ͤˤʤޤ

10011ˡߡ1009998ܡġ321ˡ1/3

ͤάm(__)m

?????????????????????????????????????????????????? 825ڡ 11:08:08 45055

https://docs.google.com/document/d/1cExti36psmuCX2pTyeSZjXZGBHqp0tjVTv014W5i104/pub
https://docs.google.com/document/d/1xeYrQV4UdYPjpP5UJPN0FHq-JpnUhLyGZ8xJuCLWp04/pub
https://docs.google.com/document/d/1IuwzfA8xVVThdc6at6qxNF-XHo4h5JNjOxGt6kOdwQE/pub
https://docs.google.com/document/d/1brAVGdt7trSsrLGUBfciLr9t958jWrKwz4R8P3eoXgc/pub
https://docs.google.com/document/d/1JhHEVi1VX1N9Tn6NOH9D-gomx9LwfVLU8sgQSzY2kJk/pub
ۤ⤪ꤤޤ
825ڡ 11:22:15 45057
2N.K.
himaҤ޲ˡ
?????????????????????????????????????????????????? 825ڡ 11:51:03 45058

񤭽ФޤñˤǤˡ򶵤Ƥ
825ڡ 11:55:56 45059
uchinyan
äȡϤ٤ߤǤ
Ƕᡤ裱ȤĤ礭ɸ­Ƨߤ¿
ݡĤȤεϿäߤζ줷ߤǤξǯŤͤơ
ޥ뤵󤬸ŪˤŪˤǤ¿Ωˤʤꤪ˻ΤȤޤ
줰⤴̵ʤ餺ˤȤޤ礦

ơˤĤ꤬ФƤޤ͡

#45035
ϡ#45049Ʊ 171700 Ǥ
⹻ǿ򽬤äͤ#45049κǽΦ׻餫ʽ٥Ǥ
ȤƤϡ#45042Τ褦˹פޤǤǤ㤨СΤ褦ˤΤ褵ʡ
1 * 100 + 2 * 99 + 3 * 98 + + 98 * 3 + 99 * 2 + 100 * 1
= 1 * 100 + (2 * 100 - 1 * 2) + (3 * 100 - 2 * 3) + + (100 - 97 * 98) + (99 * 100 - 98 * 99) + 100 * (100 - 99)
= 100 * (1 + 2 + 3 + + 98 + 99 + 100) - (1 * 2 + 2 * 3 + + 97 * 98 + 98 * 99 + 99 * 100)
= 100 * ((1 * 2 - 0 * 1)+ (2 * 3 - 1 * 2) + (3 * 4 - 2 * 3) + (98 * 99 - 97 * 98) + (99 * 100 - 98 * 99) + (100 * 101 - 99 * 100))/2
- ((1 * 2 * 3 - 0 * 1 * 2) + (2 * 3 * 4 - 1 * 2 * 3) + + (97 * 98 * 99 - 96 * 97 * 98) + (98 * 99 * 100 - 97 * 98 * 99) + (99 * 100 * 101 - 98 * 99 * 100)/3
= 100 * (100 * 101)/2 - (99 * 100 * 101)/3
= (100 * 101 * 102)/6
= 171700
äȤ⡤#45049θȾϸǤ͡ȯۤǤΤ

#45040
ϡ#45047ƱǤ
825ڡ 12:13:27 45060

καߤ10Ĥ񤭽ФˤǤˡ򶵤Ƥޤ󤫡1Ǥ
825ڡ 12:43:32 45061
Mr.ǥ
#45060
>äȤ⡤#45049θȾϸǤ͡ȯۤǤΤ

Ǥ͡
ɤ餳ȯۤФƤΤΤ褦޿ͤˤϡȤƤ̵
825ڡ 13:11:50 45062

#45058
https://docs.google.com/document/d/1FZVX6mQPVHofql-IOJCEknTF3rUKjIqfX5ARguMlIxM/pub

FOR2N.K.
ʤ¾οͤɤ
825ڡ 13:40:02 45063
2N.K.
#45063
ʡʤʤ򤤤Ǥ͡wwwwww
?????????????????????????????????????????????????? 825ڡ 13:42:50 45064

äȤwޤ
825ڡ 13:48:55 45066

ߡ1306552ʸ^^
825ڡ 14:04:02 45067
uchinyan
#45061#45059
#45002餿ɤäƤߤƤᡣ
825ڡ 14:06:17 45068

uchinyan ֻ꤬ȤޤΤ狼䤹Ǥ͡٤줾з׻ǽ롣ؤӤޤ³ĥޤ
825ڡ 15:41:27 45069
̤ꤹ棱
ǡʸ
겼ϺΣȤޤ
񡡡 825ڡ 18:36:08 45070
2N.K.
#45070
Ƥ򤭤ޤw
?????????????????????????????????????????????????? 825ڡ 19:00:19 45071
ߤ
#45047
ǯ˥ԥåޡΰɮϽѤߤǤ

ǽˤɤä˹Ԥǣ̤ꡢʹߤϱߤ뤴ȤˣܤǤ͡
ιߤǡֹԤ˾̤뤫̤뤫פǾʬȤ
¾ˤˡϤꤽǤ
826ʶ 0:21:34 45072
̤ꤹ棱
ޤ󡣺㤵줵˥ФƤޤ;ͤյäˡ
ꤢ䡣
䡧ľջѷ구ȥѥΤߤǽ񤳤Ȼפޤ
ơɤαߤȾ¤Ĺۤʤ褦˽񤯤ˤϺ㲿󥳥ѥѤФ褤Ǥ礦구ȤΤߡѥϱߤȤΤߤѤ뤳ȤȤޤ
񡡡 826ʶ 13:01:25 45073
̤ꤹ棱
ä㥦ޥ
񡡡 826ʶ 13:02:49 45074

wäƤǤ͡www
826ʶ 14:23:34 45075

w^^
826ʶ 15:13:09 45076

https://docs.google.com/document/d/1JhHEVi1VX1N9Tn6NOH9D-gomx9LwfVLU8sgQSzY2kJk/pub

߼Ψ100ver.
826ʶ 15:17:43 45077
no name
äwwww
826ʶ 18:48:00 45078
2N.K.
#45077

100϶ʳο
ºɤͤޤ
?????????????????????????????????????????????????? 826ʶ 19:20:47 45079
2N.K.
2ܤɤ߹ᤫäww
?????????????????????????????????????????????????? 826ʶ 19:22:25 45080
2N.K.
#45073
2󤫤
구Ϥäȡ6󤤤5?
ʤ󤫼ʤʤäƤʾС
?????????????????????????????????????????????????? 826ʶ 20:54:29 45081

#45073
֤ɤαߤȾ¤ۤʤפƱȾ¤2ߤϤʤפȲ᤹ȡ
ѥ1Ǥޤ

[1] Ǥդαߤ濴OȤ롥
[2] O̤ǤդľߤȤ2A,BȤ롥
[3] [1]AC<BCȤʤǤդCȤꡤľAC
[4] ACαĹǤդDȤꡤ2ľOD,BCθEȤ롥
[5] 2ľAE,BDθFȤ롥
ʾκޤǡCF//ABȤʤޤ(ФȤȳڤǤ)
[6] ľCF[1]ȤCʳθGȤ롥
[7] ľBGľACȤθHȤ롥
[8] ľOH[1]Ȥθ(2ĤΤɤǤ褤)IȤ롥

ʾˤꡤѷABIľջѷǤ
826ʶ 21:30:46 45082
2N.K.
#45082
Ǥ
ȯۤϤǤޤǤ
ޤޤǤ

?????????????????????????????????????????????????? 826ʶ 21:39:31 45083

#45077
ϤɤȤ⤤ޤ
827ڡ 9:22:31 45084
̤ꤹ棱
#45082
Ǥ
Ϸ빽񤷤Ȼפäɤʤ
ͤޤޤǤ
񡡡 827ڡ 12:16:03 45085
ԡ
#45085
ʤȤʤǤ衪
Ȥǡ̤ꤹ棱Τ餻ʤȤʤȤ...
ͤϽ٤ߤޤǡۤ˵ޤ
ޤäƤ줿顢Ǥ
see you agein.....(/_)/~~
827ڡ 13:08:56 45086
uchinyan
#45073Ǥ¤ϤۤȤƱ褦˲򤱤˲򤤤ȤۤäƤޤ
ˣǤϴñޤ͡
ȤΤϤ졣ͭ̾Τ褦ǤαȤޤ

ĹABCD 롣ѥȤ鷺구ȤѤ BC ޤ衣
827ڡ 14:33:59 45087
̤ꤹ1
#45086
꤬Ȥޤ
äƤޤΤǤ
ޤ٤ߤˤꤤޤ
#45087
꤬äǤǤϥꥸʥȤϸޤ͡ġ
⤦ٶƺޤ
񡡡 828 10:47:25 45088
ǯ
#45087>ĹABCD 롣ѥȤ鷺구ȤѤ BC ޤ衣
4050ǯۤ˽вäƤޤĹλʤΤǺϳ˽Ф뤳ȤϤǤʤȤ郎դƤޤ
ݿäΤǡ褯ФƤޤʿԻշǤƱǤ͡

828 11:18:34 45089
uchinyan
#45088
ѥȤ鷺구κޤȤΤϰĤʬˤʤäƤ褦ǡ
Ĵ٤Ƥ褦Ǥ

#45089
ĹλʤΤǺϳ˽Ф뤳ȤϤǤʤȤ郎դƤޤ
ξդȼ֤ޤޤƱ褦ˤǤޤ͡Ĺ褭뤷
ϡ#45082ΤǤޤϤޤͤƤϤ߽ФƤ⤤ͤ
դ˱ѤΤڤǤ礦
ʿԻշǤƱǤ
ϤǤ͡
828 13:06:19 45090
appoi-pangaea
.
ƴ郎롣Τ褦˿ưˤϤɤɤ衣ƴʳϻȤʤΤȤ롣

: A24L, B13L, C11L, D5L
A24L

A8L, B8L, C8L
ѥ󥲥 828 17:33:29 45092
2N.K.
#45092
appoi10ʾС

ΤϹȤޤ͡
?????????????????????????????????????????????????? 828 18:10:40 45093
appoi-pangaea
#45092
ɲ
1ǽ뤳Ȥϡդˤʤ뤫ˤʤޤǤĤ뤳ȤȤޤ
ѥ󥲥 828 19:01:22 45094
appoi-pangaea
ǶܤɤǤΤǡʤ()
ѥ󥲥 828 19:03:02 45095
2N.K.
#45095
路ϴܺǶɤǤ
ɤäˤ路ϥꥸʥʤw
?????????????????????????????????????????????????? 828 19:17:32 45096
a
<a>a</a>
ѥ󥲥 828 20:29:45 45097
a
<a>a</a>
ѥ󥲥 828 20:30:14 45098
2N.K.
#45097,#45098
ʤˤ!?
ѥ󥲥䤷appoi-pangaea󤫤?
?????????????????????????????????????????????????? 828 20:38:40 45099
fumio
פ֤ǤޡǤ
Ǯ뤤ƤǤ͡Ͼä򴶤ޤ
ǯ⤢4ǾڤꤿǤǤϤǤϡ
829ʷ 0:31:18 45100
appoi-pangaea
#45030 ڤפֻŪʡײ

1*100+2*99+100*1
=101*5050-(1^2+2^2+100^2)

1^2+2^2+100^2 ε

11ġ22ġ100100 ѷη¤٤

1
22
333
: :

120240žΤ­
ѥ󥲥 829ʷ 7:00:32 45101
2N.K.
#45101
1*100+2*99+100*1ϡ

1100ġ299ġ1001ѷη¤٤Ƥ򤱤ޤ

100
99 99
98 98 98



120240žΤȤȡ

102
102 102
102 102 102



Ȥʤ롣
οιפ1025050
ȤμͤϾ1/3ʤΤǡ
10250501/3
?????????????????????????????????????????????????? 829ʷ 10:35:11 45102
̤ꤹ棱
#45102
ʲ
񡡡 829ʷ 16:22:17 45103
uchinyan
#45101#45102
򤤡
829ʷ 16:58:29 45104
2N.K.
#45055ǸäֹͤפȤϡ#45102ΤȤǤ
?????????????????????????????????????????????????? 829ʷ 18:27:49 45105
⡼ޥ
#45102
ä!!
Ū
꤬Ȥޤ
䤬ޤ ^^
829ʷ 20:44:21 45106
2N.K.
ξ֤Ƥʤ󤫤Ǥ
?????????????????????????????????????????????????? 829ʷ 21:53:33 45107
appoi-pangaea
ڤγعΣ˻ϤޤǤ魯
Ƶ٤ߤΡ֤塻(;)
ѥ󥲥 830ʲС 8:23:10 45110
2N.K.
ӣȣգˣգģɤä
ꤳĤ餤
?????????????????????????????????????????????????? 830ʲС 11:58:28 45111
DEATH
DEATH
ء 831ʿ 12:13:42 45112
̤ꤹ1
Ϥع
񡡡 831ʿ 14:25:03 45113
̤ꤹ1
७ɡƤޥ󥼥ꥢʤ
(ѥɥ)
񡡡 831ʿ 14:28:10 45114

γΰŪʲˡɤߤΤǤ
쥹ήƤΤǸƤӽФȤƤ
ޤޤ󡣻Ǥ礦
831ʿ 23:16:07 45115
2N.K.
#45113
å!?ʤˤ줪?
ۼ֡ 831ʿ 23:43:37 45116
2N.K.
#45115
Me tooǤ
ֲɤסʥڡΤФ󲼡ˤȤΤޤʤͤΤǤϸޤw
ָĿͥǡϿѹפȤĤǰ50ޤǤߤ䤻ޤĤΤϸޤ
ȤʤʤΤ
ۼ֡ 831ʿ 23:47:30 45117