ǯ
礭飹Ĥ¡ݾ飹Ĥ¡ˡߣᣱ
礭Ⱦδ֤ΤɤƤ⡢ݣݣ¤κ¤ϣݣ¤Ʊ
623ڡ 0:10:34 44661
٥륯åĥ
1-9ʾˤ11-19ˤߤ֤ơ119δ֤10180ؤǽǤ͡
623ڡ 0:14:49 44663
2N.K.
#44661
ͤ⤽Τ褦˹ͤޤ

?????????????????????????????????????????????????? 623ڡ 0:14:51 44664
٥륯åĥ
#44661
ʤۤɡΤ10ϤɤǤǤ͡ޤǹͤƤޤǤ
623ڡ 0:17:48 44665
̤ꤹ1
Фϡ
׻ߥäƤ٤ޤ((
Ǥͤϵ§򸫤ĤƲ򤭤ޤ
1AޤǤο¤٤κιפκͤA19˸¤餺AΤȤϡ1AޤǤƤ¡(A1)2ȤʤפȤΤǤ
ƤϤᡢ19010180ȽФ櫓Ǥ

#44660
Ǥ

񡡡 623ڡ 0:39:28 44666
̤ꤹ1
Ĵ٤ƤߤȤAΤȤ1AޤǤο¡(A21)Ȥʤޤ
񡡡 623ڡ 0:29:06 44667
ۤޤ
1,19,2,18...
Τ褦֤кͤˤʤ뤳ȤϤʬΤǡȤϿޤ񤤤Ʒ׻
Ū10*2+20*8=180Ȥʤޤ
623ڡ 0:43:40 44668
ۤޤ
1,19,2,18...
Τ褦֤кͤˤʤ뤳ȤϤʬΤǡȤϿޤ񤤤Ʒ׻
Ū10*2+20*8=180Ȥʤޤ
623ڡ 0:43:46 44669
ǯ
ĥ
NĤǤդο߾¤٤ȡٹ礦κιפϡ
Nλ(礭ȾʬθĿ¡ݾȾʬθĿ)2
Nλ礭οο͡ˤơ
(礭ȾʬθĿ¡ݾȾʬθĿ)2
Ȥʤ롣
ξưפȽ롣ݾݾݾݤ¤٤н֤ʤ礭ν֤ؤƤ⡢ν֤ؤƤƱ
ξϡξ1Ĥοä롣ͤȤʤȤƤ뤳Ȥˤʤ롣äͤ礭С礭ΰ־ΤͤˤʤΤǤؤ롣äͤ⾮Сΰ礭ΤͤˤʤΤǤؤ롣ˤƤͤϼ긵˻Ĥ롣ͤϤɤƤ⺹ιפѤʤ
623ڡ 1:42:03 44670

Ϥ褦ޤ
κƤΤĤ餯()
#44661ƱǤ
ϤȤƤǤǤ
623ڡ 6:27:17 44671
ֿء׾ι
#44670꤬ȤޤåǤ
a-báaáܡbáطꤽʵޤ
623ڡ 8:19:14 44672
̤ꤹ1
Է䤬äijعԤʤw
񡡡 623ڡ 8:39:52 44673
2N.K.
#44666+#44667
ʤۤɡ§⤢ޤ͡

ϳع٤ߤ
?????????????????????????????????????????????????? 623ڡ 10:57:48 44674
ߥߥϤ
礭ϥץ饹ϥޥʥǡ10ϥץޥ
ǹפޤ2ܤΤ˺ޤ
623ڡ 10:09:18 44675
uchinyan
(ʤǽϥ㥴㤷ƤΤǡΤ⻲ͤˤľޤ)

Ϥˤϡơϡ
ľŪ˲ʬ꤫ʤȤƤɸŪϢˤϰסȤޤ
Τʴǡ

¤ˤʤˤϡǤ礭ֹȤǤֹȤ٤礨ФǤ
ͤȰȤƼͤޤ
09 12 07 14 05 16 03 18 01 19 02 17 04 15 06 13 08 11 10 (ü 09 ȤĤʤäƱߤˤʤ롣)
¤Ӥκ¤ϡ
(19 - 1) + (18 - 1) + (19 - 2) + (17 - 2) + + (18 - 3) + (16 - 3) + (17 - 4) + (15 - 4) + (16 - 5) + (14 - 5)
+ (15 - 6) + (13 - 6) + (14 - 7) + (12 - 7) + (13 - 8) + (11 - 8) + (12 - 9) + (10 - 9) + (11 - 10) + (10 - 9)
= ((19 + 18 + 17 + 16 + 15 + 14 + 13 + 12 + 11) * 2 + 10) - ((1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9) * 2 + 10)
= (19 + 18 + 17 + 16 + 15 + 14 + 13 + 12 + 11) * 2 - (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9) * 2
= ((19 - 9) + (18 - 8) + (17 - 7) + (16 - 6) + (15 - 5) + (14 - 4) + (13 - 3) + (12 - 2) + (11 - 1)) * 2
= 10 * 9 * 2 = 180
μΣܤȣܤʬ褦ˡ줬ͤǡͤ 10 Ϸ̤˱ƶޤ
ǡͤ 10 ꡤ礭硤򾮡Ȥơ
ͤ 10 ʳ 羮羮 ν˼ͳ¤٤ͤ 10 Ŭ˶߹Ȥ¤
ǡ 180 ˤʤ롤ʬޤ
Ĥޤꡤ¤κͤ 180ˤʤޤ

ʤߤˡ01 18 ʤСƱͤˤơ
09 11 07 13 05 15 03 17 01 18 02 16 04 14 06 12 08 10 (ü 09 ȤĤʤäƱߤˤʤ롣)
¤Ӥκ¤
(18 + 17 + 16 + 15 + 14 + 13 + 12 + 11 + 10) * 2 - (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9) * 2
Ƚ񤱤뤳Ȥդȡ10 18 硤1 9 򾮡Ȥơ
羮羮 ν˼ͳ¤٤Ȥ¤
ǡ¤Ϻͤˤʤ롤ʬޤ

ʾäϰ̲ưפǡ1 n ξ硤
n ΤȤ (n + 1)/2 * (n - 1)/2 * 2 = (n^2 - 1)/2
n ΤȤ n/2 * n/2 * 2 = n^2/2
ˤʤޤ륬ȤФޤȤơ[n^2/2]Ǥ͡
624ʶ 12:57:58 44676
uchinyan
ǼĤɤߤޤ


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

⳧ŪˤƱǡ
ͤ 10 ʳ 羮羮 ν˼ͳ¤٤ͤ 10 Ŭ˶߹Ȥ¤硤
ȹͤˡΤ褦Ǥ͡

ʤʤǤ

ʤߤˡǾä 36 ʡ
623ڡ 13:46:36 44677
⡼ޥ
Ǥ^^;
ľǹͤȡ
ֲǤŤʤʤΤǡ
1-19-2-18-
or
19-1-19-2-
ξǡ
Ǹ10κ10-1=19-10=9
Υ롼פMaxǤ ^^
¨ ^^;v 623ڡ 14:13:45 44678
̤ꤹ1
#44676
ΰ̲ΤۤѥȤǤ͡ġդ(̣)
ꡢͤȤʤϲ̤ꤢ뤫(âžƽŤʤΤƱ)Ǥ򤫤äǤ^_^
ߤ˺ǽͤ2A2ǵޤ
񡡡 623ڡ 18:30:32 44679
⡼ޥ
#44679
žΤƱʤȿΤΤȤ2̤ꤷޤ?
MinϽŤʤʤ褦ˡ
119ޤǥ롼פ...2*18
Ǥ ^^
¨ ^^;v 623ڡ 23:39:38 44680

#44655
15ѷפȤϽ񤫤Ƥޤ͡
ȡ
12ѷ12ĺ(פʸפΤơP1P12Ȥ)
ӡγܱߤΤ⤦1Ĥľ¤ξü(Q1,Q2Ȥ)
ߤ濴(OȤ)פ˷15ѷ
(㤨OQ1P1P2P3P4P5P6Q2P7P8P9P10P11P12)ϤɤǤ礦
15*14*13̤A,B,CηꡤΤ
߼AACľ¤Ȥʤ褦C߼¾B
᤿14*1*12̤ȡ
P1P12Τ줫AOBȤABC=90Ȥʤ褦C
᤿12*1*2̤꤬Ŭơ
Ψ(12*16)/(15*14*13)=1/15*96/91(>1/15)Ȥʤޤ?
624ʶ 0:59:22 44681

#44655
15ѷפȤϽ񤫤Ƥޤ͡
ȡ
12ѷ12ĺ(פʸפΤơP1P12Ȥ)
ӡγܱߤΤ⤦1Ĥľ¤ξü(Q1,Q2Ȥ)
ߤ濴(OȤ)פ˷15ѷ
(㤨OQ1P1P2P3P4P5P6Q2P7P8P9P10P11P12)ϤɤǤ礦
15*14*13̤A,B,CηꡤΤ
߼AACľ¤Ȥʤ褦C߼¾B
᤿14*1*12̤ȡ
P1P12Τ줫AOBȤABC=90Ȥʤ褦C
᤿12*1*2̤꤬Ŭơ
Ψ(12*16)/(15*14*13)=1/15*96/91(>1/15)Ȥʤޤ?
624ʶ 1:18:32 44682
ϥ饮㡼ƥ
äȽޤ

Ĵ٤Ƶ§򸫤Ĥޤ
624ʶ 3:08:02 HomePage:湩ؤ˥44683
ϥ饮㡼ƥ
§
floor(n^2/2)
Ǥ
624ʶ 3:13:51 HomePage:湩ؤ˥44684
̤ꤹ1
#44682
ޤ­Ǥ
̽޳ѷˤƤƲ
񡡡 624ʶ 7:42:08 44685
ǯ
#44655, #44682꤫ʡȶ̣ޤ
14ѷ饹ȤƤϡ
14ѷγܱ߾1äȡ濴̤г7ܤʤΤǡ7*(15-2)ľѻѷǤ롣
153dz1/5ľѻѷΥȤ˽ʣϤʤȻפޤ
624ʶ 9:21:45 44686
uchinyan
#44655#44682#44685#44686
Τˡ޳ѷȤäơ̽޳ѷȤǤäƤʤäΤǡ
#44682Τ褦ʻŦФƤʤȻפޤäήǤϡ̽޳ѷʡȻפäƤޤ
ȡ̽޳ѷȤƤ#44656ǰηƤޤ
#44686ǤŦΤ褦ˡΨ 1/15 ǤϤʤ 1/5 ǤϤʤʡȤϤƤޤ
ɤʤǤ礦
624ʶ 13:21:58 44687
̤ꤹ1
#44686#44687
1/15Ǥ
ȤΤ⡢3ΤľѤƤΤ1ĤΤߤʤΤǡ1/51/3򤫤ɬפ뤫Ǥ
񡡡 624ʶ 14:10:58 44688
uchinyan
#44688
1/15Ǥ
ȤΤ⡢3ΤľѤƤΤ1ĤΤߤʤΤǡ1/51/3򤫤ɬפ뤫Ǥ

ѷϡ̽޳ѷ 15 Ĥĺ 3 15C3 ġ
ͳѷܣξľѻѷϡͳѷγܱߤľ¤ξüܣʤΤǡ
ľ¤֤Τ 7 ̤ꡤ줾ľ¤Ȥ 13 ̤ꤺġǡ7 * 13 ġ
ǡΨϡ(7 * 13)/15C3 = (7 * 13) * (3 * 2 * 1)/(15 * 14 * 13) = 1/5Ǥ
1/3 ܤȤȤϡľѻѷ (7 * 13)/3 ĤȤȤǡǤ
624ʶ 15:25:06 44689

ʸϡֻABC֡סֳABCľѡפȤʤäƤޤ͡
ȡľѻѷꤷƤ⡤A,B,CΤɤ줬ľѤϤ狼ʤΤǡ
̣ľѻѷ (7 * 13)/3 ġפǤ褤ȤˤʤȻפޤ
⡤ѷλΤơʬ15P3Ȥ褤Ϥޤ

ʤˤʤäΤǸλŦ򤷤ޤ٤ȤꤢΤǤꡤ
ƻŦΤϼ餫⤷ʤȤפäƤޤơʤϤͤӤޤ
ˡߥƱȤ2UPƤޤäΤ⼺֤Ǥɤ⼺餷ޤ
624ʶ 16:03:24 44690
uchinyan
#44690
򤢤꤬Ȥޤ
ʤۤɡʸɤ֤顤ñľѻѷǤϤʤڤľѤΰ֤ꤵƤΤǤ͡
Ǽʸ褯ɤޤʤȤޤȿʡ
֤ꤵƤʤСΤȤ߹碌ǤϤʤǹͤ٤ǡ
Ψϡ(14 * 13)/(15 * 14 * 13) = 1/15Ǥ͡
624ʶ 16:35:30 44691
̤ꤹ1
#44690
­꤬Ȥޤȡְ㤤λŦ˴ؤƤϡष꤬פäƤޤ夢Τ褦ʤȤ̵褦դޤ
񡡡 624ʶ 17:30:48 44692
ǯ
#44688,#44690,#44691
ʤۤɡľѻѷΤǤΨȤͤƤޤǤ
ľŪľѤΤǤΨʤ顢
ѷ1Ȥơ14ѷ1ľѤˤʤΨϡ614C2
ɲä1硢ľѤˤʤΨ714C2
ٽʿѤơ(14*6/14C2+1*7/14C2)/(14+1)=1/15
624ʶ 17:37:48 44693
(Keigei)
#44690
ֺ٤ȤꤢפȽ񤫤Ƥޤ٤ȤϤʤȻפޤ
̽޳ѷפȽ񤫤ƤʤäΤǡ̤ο޷ͤƤޤ
ʤ٤¿ľѤȡɸʿ̾
(0,0),(1,0),(1,1),(2,0),(3,0),(2,1),(3,2),(3,3),(2,3),(2,2),(1,3),(0,3),(0,2),(1,2),(0,1),(0,0)
Ĥʤ褦ʱ޳ѷǤ
ˡIJ˳硦̾뤳Ȥͤ졢館ʤΤ֤Ƥޤ
ϤʸΤ˽񤫤Ƥɬפޤ

ʤ̽޳ѷפξ硢
ֳABCľѡפACľ¡פȲᤷ 7/(152) ȷ׻ΤᤤǤ
624ʶ 18:55:56 44694
̤ꤹ1
#44694
­ǤޤǤ嵤Ĥޤ

񡡡 624ʶ 21:58:32 44697
ˤ⡼
ΤȤޤǤζ̳ȥߥ³ǡؾ֤Dzޤ
ԤˤϿʤɡؤɥΡ׹;֤Dzޤ
Ȥʤ礭ȾߤˤʤФΤȻפä
1,19,2,18,3,178,12,9,11,10,1¤ˤޤ
޻Ա¶ʼΡˡ 626 3:23:36 44698
uchinyan
#44690#44692#44694#44697
伫ȤϽäή¿ѷ¿äΤ̽޳ѷȻפäƲΰ´ⴶޤǤ
(Keigei)󤬤äƤ褦ˡΤˡν޳ѷ̽޳ѷǤϰ̣㤦Τǡ
󤵤ΤŦϼǤββǽ򹭤Ȥ̣Ǥ礭ʰյȻפޤ
ʤʤˤʤäƤޤͻҤǡˤϤäȹͤ뵤ϤʤǤ (^^;

ʸ򤭤ȼȤϤפǤޤ餳ͤľȯŸ롤ʲθ̾θ̤⤢Τ⡣
ޥ뤵ˤϿʤǤǤ⤿ޤˤäơǷǼĤ礤夬롤ʤƤȤ⤢ä褦 (^^;
ؤΡǤʤǤ˾Ǥ⡤ޤȤ꤬ˤʤä礤ȯŸ¿Ǥ͡

ǡΨäϻδʸɤߴְ㤤ǡѿʤ
̤ꤹ1󡤤󤵤󡤤Ǥ򤪤ޤ
Τ餪ä礳礤ʤȤꡤդƤΤǤʤʤʤǤ
⤦ʬΤγκϻäΤǤ褫äΤǤǤ碌򤷤äΤǤ
äƤơ֤פͽʸä̾񤤤Ƥʤ飰פȸ졤
ޤǵդʤʬʢΩĤ𤱤ʤѤǻäȤޤ

Ȥ櫓ǡʬ˵դޤޤѤʤȤΤޤ󤬡ƼϤΤۤɤ
626 12:33:02 44699
粬ҹ
פ֤ޤʡˤϤ굤ʬž˻ɤǤ͡
626 13:18:10 44700
̤ꤹ1
#44699
ʡʤ󤫥ե꤬Ȥޤ
ʤߤˡϤ1/5ȲƤޤ褦˻ŸƤꡢɽŪˤۣʤȤäΤǡˤʤ餺(^^)
񡡡 627ʷ 17:50:26 44701
2357
縩̱Ǥ
륹Ѥޤ
ؤ줬ФƤΤԤΤߤǤΤǡλͿͤΤïȤʤޤ͡
ïʤǤ礦͡
627ʷ 18:03:01 44702
̤ꤹ1
#44702
륹İ꤬Ȥޤ
ͤïϸĿ;ȤʤΤǤǤϸʤǤޤw4ͤΤïʤΤϳΤǤ͡
ȡ٤褦ǤԤǤϤʤԤǤϡ
񡡡 627ʷ 21:12:40 44703