٥륯åĥ
ȥ⥨1-10ޥ뤵11-20ΤȤ55
饫ɤɤ򴹤Ƥ⡢ɽ΢ιפƱѲΤǡϾ55
ʤʤǤ
128ڡ 0:06:35 44085
ˤ⡼
϶üʥͤƲ򤭤ޤ
Ƕᤳѥ¿
ޤ뷯飲ޤǻäƤСɽοιפ155
΢οιפ10ˤʤ뤫100
äơ55
128ڡ 0:08:45 44086
ߤ
䤤餷ϤĤˤʤ顢׻䤹
ǥåУϣˡ
128ڡ 0:11:55 44087
ˤ
夬ֽФʤơĤΤǿޤ
طʤȽ񤤤Ƥʤ

128ڡ 0:14:24 MAIL:nikotan@fat.coara.or.jp 44088
ǯ
#44085٥륯åĥƱ褦ˣݣȣݣǹͤޤ
ǽϣͤιףꡢܤɽ΢ιףꡥʤƤäƤƼ֤ɤޤ
128ڡ 0:21:16 44089


٥륯åĥƱǤ
äȤ⡢ξڡ򳫤ȴ10ͰʾƤꡢɤʥɤƤŪȼƤäƤꤷΤǣȣǹͤФȤľäΤǤ
Ϻꡡ 128ڡ 0:15:00 44090
Mr.ǥ
ޥ뤵Υɤ򡡾顡a1,a2,a3,,a10ȤȤ
a1΢ϡa11
a2΢ϡa2- 2a2̤οa21礫顡a11
a3΢ϡa2- 3a2̤οa31礫顡a1,a22

a10΢ϡa1010
ä
΢οιפϡ(a1+a2++a10)(1+2++10
椨ˡϡ55............Ȥޤ
128ڡ 0:26:02 44091
⡼ޥ
ü첽ǤOrz
̣դ褯狼äƤޤǤ^^;
#44091 Mr.ǥβˡ򸫤...ʬήǼ ^^

(20-a10)+(a10꾮θĿ)+10=20
(19-a9)+(a9꾮θĿ)+9=19

so
Ŀ-(a10+a9++a1)=10+9++1=55
äƤȤˤʤΤ ^^?
¨ ^^;v 128ڡ 0:51:48 44092
ϥ饮㡼ƥ
Ϥ褦ޤ
ü첽Ǥ
128ڡ 2:43:40 44093
̴
ͤƱ褦ü첽Dzդθ塢ĤΥ롼פ
ʬäƤMr.ǥͤβˡƱͤβˡé夭ޤήMr.ǥͤǤ͡
ٻΤ桡 128ڡ 6:37:58 44094
(Keigei)
ޥ뷯ΥɤοФ
꾮Υȥ⥨Υɤοβˡ
ޥ뷯ȤΣ꾮Υɤο񤱤С
ιפ n1
ޥ뷯ΥɤɽοιפӤȤС
΢˽񤫤줿٤Ƥιפ S10
ޥ뷯ȤΣ꾮Υɤοϡ
0123456789 ǹפ 45
äơǽ΢˽񤫤줿¤ S1045S55
S(S55)55 Ǥ
128ڡ 7:48:22 44095
Τ
ޥ뤵λäƤ륫ɤ1ס10פȤƹͤޤ
̧̻ԡ 128ڡ 9:28:01 44096
ǯ
ü첽ؤͤΤǤ""٤ǰؤǤΤ˾ȤޤǤéĤޤǤ
#44091Mr.ǥ#44095(Keigei)餷Ǥ͡
ؤξˤĤƤ⤦ͤƤߤ
128ڡ 9:37:28 44097
Mr.ǥ
#44085Ρ֥ɤɤ򴹤Ƥ⡢ɽ΢ιפƱѲ
ΤǡפʬǤϼǤϤʤäΤǹͤƤߤޤ

ޥ뤵Υɤ򡡾顡a1,a2,a3,,a10Ȥ
ޥ뤵Ρaiȥȥ⥨ΥɣȤ򴹤Ƥ⡡ֺפ
Ǥ뤳ȤĴ٤ޤɤο΢οf(k)Ȥ
jϡaj<b<aj+1 ʤͤȤޤ

򴹤ˤäơ΢ο
f(ai)aii ʤʤ
i+1j ʤˤƤϡf(ak)ϡ1
f(b)(b-1)j1ݣꡡ줬ɲä
΢οΤȤƤ
(aii)+(ji)+(ݣ)ai
ɽο⡡aiȤʤΤǡ򴹤Ƥֺפ
ȹͤޤ
128ڡ 11:21:19 44098
uchinyan
Ϥˤϡơϡ
ϡ֤ʤۤɡפȡ֤פȤäǤ
֤ʤۤɡפϴñͳǾ˷ޤäͤˤʤ뤳ȡ
֤פϤ򻻿Ǥɤ񤯤ü첽Ǥäʤ򤱤ƤޤȤǤ
ʴǡ

ޥ뤵 10 Υɤ˽񤫤줿򾮤ˡȤޤ
ȡ㤨С 꾮ɤ 20 Τ - 1 ǡޥ뤵 5 äƤΤǡ
Ĥ - 6 ȥ⥨󤬻äƤ뤳Ȥˤʤꡤ ΢ - 6 ˤʤޤ
¾οΥɤƱͤǡ(ɽ, ΢) ϡ
(, - 1)(, - 2)(, - 3)(, - 4)(, - 5)
(, - 6)(, - 7)(, - 8)(, - 9)(, - 10)
ǡɽιפ΢ιפκϤ줾Υɤɽ΢κιפ
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55
ˤʤޤ

嵭٤ʤ黻ʡȻפäƤޤ뤵ȤʸΰؿؤʤΤǡ̯Ǥ
ȤäƤդǤǤϤʤʬŤ餯ʤΤǡޤǤۤ򡤤ȤäȤǤ
äȤ⡤ʤʤȤƤϡĤưͤˤʤͽۤü첽Dz
ǤΤǤϡȤƤޤ
ذʾοؤǤϥǤʤХǤ衣
128ڡ 12:03:22 44099
٥륯åĥ
Mr.ǥˡʬ䤹ƤǤ͡

ʤߤ˻ιͤϤʴǤ
ޥ뤵Υɤ򤿤Ȥ5ɤȸ򴹤硢δ֤˼ʬΥɤοʤɽ΢5ޤ
֤˼ʬΥɤä硢2礢΢Ѳ2ޤ2ΥɤˤĤƤ΢1ĸΤǡɽιפ΢ιפƱޤ
128ڡ 12:33:24 44100
uchinyan
ǼĤɤߤޤ


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

Ϥ곧ü첽¿褦Ǥ͡ʤݤ#44100Ǥ礦
ƱȤǤ⤦ȼȤΤ#44098Ǥ礦
ǽ餫ѤʤȤ򼨤Ʋ򤤤Τ#44091#44095#44099Ǥ͡
ϤɤͳƱλ㤦ǤĿŪˤϡ
Ȥä#44091#44099ʬ䤹
#44095Ϻǽդΰ̣ʬŤ餤褦˻פޤ

ʤޥ뷯ǤϤʤޥ뤵󡤤Ǥ
ޤɤǤ⤤ȤǤϤޤͤ褦ˤäƤϼʤȡȤפޤ (^^;
128ڡ 13:36:28 44101
ǯ
#44085ؤ#44100Τ褦ʹͤʤΤǤ͡
ؤͤơΤ褦ˤɤ夭ޤ
ޥȥȥ⥨Υɤ1ɤؤ롣
ɽ¤1뤤ä롢΢ο1뤤äΤǡؤƤƱ򷫤֤СǤդΥʬãǤ롣
128ڡ 16:20:11 44102
ޥ
#44101uchinyan󡢷(Keigei)
Ϥϡޥ뷯ǤޥǤ⡢פǤˤʤ餺ˡ^^;
MacbookPro 128ڡ 16:33:45 44103
uchinyan
#44103
ޥ뤵󡤤꤬Ȥޤ٤ȤǿʤǤ

#44102
ʤۤɡ
ŪˤľŪ#44100#44098褵Ǥ
1 줿ؤȤη֤ϤܼۤʴǥХ֥륽Ȥߤ򤤤Ǥ
129ʶ 11:23:36 44104
(Keigei)
ޥ뤵uchinyan󡢻ϷǡΤᡢ򸯤碌ƤޤޤǤ

ȤǡǽΥɤ餤ޤǤǤäƤ⡢ΤΣޥ뤵󡢻Ĥȥ⥨󤬻Ĥȡ
ޥ뤵λäƤ룱ΥɤˤĤơɽ˽񤫤Ƥιספȡ΢˽񤫤Ƥιספκ 55 Ǥ͡
128ڡ 21:37:00 44105
̴
#44105 ʤΡ˷(Keigei)ͤΤä
̤Ǥ͡򤯡̣Ǥ͡
ٻΤ桡 129ʶ 7:49:45 44106
uchinyan
#44105
(Keigei)
֥ޥ뷯פȡ֥ޥ뤵פˤĤƤϡ
ԤΥޥ뤵Τ̾ȰפF.A.Q.ˤиͥ⤢褦ʤΤǡ
ˤʤäƥȤޤ٤ȤǿʤäǤ

ȤǡǽΥɤ餤ޤǤǤäƤ⡢ΤΣޥ뤵󡢻Ĥȥ⥨󤬻Ĥȡ
ޥ뤵λäƤ룱ΥɤˤĤơɽ˽񤫤Ƥιספȡ΢˽񤫤Ƥιספκ 55 Ǥ͡
ϳΤˤǤ͡ؤεǤ⡤#44091#44095#44099Ǥ 20 ܼŪǤϤޤ
̤ˡ1 N n 硤ˡn(n+1)/2Τ褦Ǥ
129ʶ 11:57:54 44107
(Keigei)
ʤ񤤤 #44105 Ǥ#44106 #44107 ΥȤĺΤǡ⤦񤭲äޤ

Ĥμäơ줾μ꾮ΣĤ˴ޤޤʤθĿ¤ϡ
ȤΣĤμ¤ n(n1)/2 ʤ뤳Ȥ򼨤ޤ

줾μʲμθĿϡμȤΤǡ¤ϤȤμ¤ʤޤ
¤ϡ֤줾μ꾮ΣĤ˴ޤޤʤפȤ˹ʤΤΤǡ
οϣ󡤣ܤ礭ϣ󡤣ܤ礭ϣ󡤡ġġǾοϣƤޤΤǡ
123ܡġġnn(n1)/2 Ǥ
Сn(n1)/2 ʤޤ

ʬˤΤޤ󤬡n 10 n(n1)/2 55 Τ褦˶Ūʿ֤ȻȤѤȻפޤ

129ʶ 19:22:45 44108
⡼ޥ
#44108 (Keigei)ǤäλǤޤ ^^
nĤοϲǤ졢nĤοΩĤ櫓Ǥͤ
ΰ̲
أĤμäơ줾μ꾮ΣĤ˴ޤޤʤθĿ¤ϡ
ȤΣĤμ¤ n(n1)/2 ʤ٤...
Ϥζ1ǤΤ m(_ _)m
¨ ^^;v 129ʶ 20:39:24 44109
uchinyan
#44108
ޤǰ̲ȲȤΤ褦ˤ⸫ޤɤϺƱǤ͡
(Keigei)ξϡ#44091#44095#44099ʤɤȹͤƱǤ
󤳤⸫ʾǤĿŪˤϡϤꡤǯԤ#44102Ρ
1 줿ؤȤη֤ʴ򤯹Ǥ
130ڡ 13:55:47 44110
(Keigei)
#44110
#44108 ϡȤѤ褦˹פƽ񤭤ǡͤ #44105 Ǥ
֣줿ؤȤη֤ʴפȽ񤫤Ƥޤ
ϤΡؤפ򤦤ޤǤˡǰΤǤ
ޥ뤵 110ȥ⥨ 1120 ǤʤȤˡξ֤ˤˤϡ
ޥ뤵Υɤκ꾮ȥ⥨ΥɤΤ
ȥ⥨κΥɤȡ꣱礭ޥ뤵Υɤؤ
η֤Ǥ͡

131 8:03:10 44111
ǯ
#44110 uchinyanΤ褦˸äƤȵѤȤȤˡѤˤ줷פޤȤȡ#44091#44095#44099ˡ˹ͤڤФޤ#44100#44098Τ褦Ǥʤơ줷ޤβǤ⤢ޤǤȤˤϤۤäȤޤ
äĹΤǤ촹ˡϡ㤨Сʾʤޥ뤵󡢲ʤȥ⥨

11 12 13 14 15 16 17 18 19 20
01 02 03 04 05 06 07 08 09 10

01 04 06 07 09 10 13 15 17 19
02 03 05 08 11 12 14 16 18 20
ɽü첽顢̤έѤˤϡ
ޤ10ΰ֤20äƤ롣Τˡ
11-10, 12-11, 13-12, 14-13, 15-14, 16-15, 17-16, 18-17, 19-18, 20-19
νؤȲέˤʤ롣

10 11 12 13 14 15 16 17 18 19
01 02 03 04 05 06 07 08 09 20
ˡ9ΰ֤18äƤ롣Τ
10-9, 11-10, 12-11, 13-12, 14-13, 15-14, 16-15, 17-16, 18-17
νؤơ롣

09 10 11 12 13 14 15 16 17 19
01 02 03 04 05 06 07 08 18 20
Τ褦ˡ1ĤİܤؤƤ椱СǽŪ˭롣
ȤΤǤ
131 9:58:29 44112
uchinyan
#44111#44112
ؤλϤȻפޤ
ϡ٤ƤΥѥ
01 02 03 04 05 06 07 08 09 10
11 12 13 14 15 16 17 18 19 20
ˤ뤳ȤͤƤޤˡ#44112(ε)ƱǤ
Τ˼֤ϤޤǤ뤳ȤʬнʬʤΤǡ餫ʤˡäƤޤ
131 13:10:01 44113
⤬Ф
ƻ⤷ޤ...
#44086Ʊ꤫¨ޤ
21ʷ 14:13:50 44114