N.Nishi
ϥ֥åסͤϹäƤΤˡϥ󥸷Ϥݤäμ褫ޤߣ(ܣ)ᣲ
317ڡ 0:08:04 24701
оϩ
75ȹ礻ǽ񤭽ФƤޤ
5,7,10,14,15,17,19,20,21,22,24,25,26,27ġġʸƽ
äơ23
γ 317ڡ 0:19:44 MAIL:pctakada@mail.goo.ne.jp HomePage:Ĥ줭24702
ߤ
٤꤫ǤλäϤĤİפǽޤ

ȣɤȤ߹碌ƤǤʤФäƤȤǤ͡
ܿΣޤǤɽˤơܣܣĤ
˾äǤޤ
317ڡ 0:08:46 24703
N.Nishi
ϥ֥åסͤϹäƤΤˡϥ󥸷Ϥݤäμ褫ޤߣ(ܣ)ᣲ
317ڡ 0:09:18 24704
Ҥܤ
Ǥͭ̾ڼǤ͡
ߣ(ܣ)ᣲȵޤ
ʻҤɤ⤿ɽ񤤤ƵΤǤ礦
317ڡ 0:09:39 24705
tomh
abߤǤΤȤma+nbǽ񤱤ʤ
ϡ

m,n0 ΤȤϡab.
m,n0 ΤȤϡab-a-b.

Ǥ͡

͡
Q44
֤ߤäαȡ14http://micci.sansu.org/
ԡ 317ڡ 0:17:04 MAIL:tomh@yahoo.co.jp HomePage:H to M24706
ޤ夢դޤ
оϩء
ȴƤޤ衦
317ڡ 0:10:45 24707
ʸ
פ֤Ǥ
ͤΤʤ֤˿޷ä...
Ȥ1ʬڤäơ
ɽ񤯤Τ1ʬΤˡ
Ȥʤ
m*n-(m+n)
ʡ
317ڡ 0:11:12 MAIL:kyorofumi@msn.com HomePage:ʸ24708
Ϥʤ
(|||)30ø夯餤˥⤦taro󣱰

ޥ뤵Ͽ񤦤ǥ祳򿩤٤ʤΤ͡(_ <)
ȡ硡 317ڡ 0:11:57 HomePage:http://hanau.daa.jp/blog2/24709

ŻˤޤƤ黻¸ߤ˺Ƥʰ

Ȥγפtomhν񤤤ȤǤǾϤǤΤ
317ڡ 0:15:52 24710
DrK
ϡǾܿ˵ŤгڤǤ
57ܤơ;ο1Ť䤷ơ⤦οȤȤ߹碌Ǽ¸Ǥ뤫ɤͤϷޤ롣
ϡ351Ťĸ餷Ƥޤ
ϳڱफ?㤦ʡ 317ڡ 0:15:58 MAIL:satoka@star.odn.ne.jp 24711
Ҥܤ
ߣ(ܣ)򡢾ˤ狼䤹ǤΤǤ礦
߸Ǥ
317ڡ 0:16:49 24712
ҡΤ
#24705
ʬ̵Τ֤ˤäȥå
...ͭ̾äΤ...ʡ

֤򤪤ƹƤߤԤɽäѤäΤǤʤǤޤʡ
ǽŪʲˡDrKͤƱǤʡ
ɥ 317ڡ 0:20:18 HomePage:24713
޼λ
Ҥܤ餱٤켺ԡġʤȤƤʤΤˤġäƱǤͤġ
317ڡ 0:20:21 24714
оϩ
䤢ޤ夢դޤ뤵
ͭ񤦥ޥƤޤ^^;
γ 317ڡ 0:21:26 MAIL:pctakada@mail.goo.ne.jp HomePage:Ĥ줭24715
ݥ
ΤΤξƤľǤ轵񤷤äΤǡġ
ˤäƵǤơϣˤʤꤽǤm(_ _)m
317ڡ 0:22:29 24716
޼λ
Ҥܤ餱٤켺ԡġʤȤƤʤΤˤġäƱǤͤġ
317ڡ 0:23:07 24717
޼λ
Ҥܤ餱٤켺ԡġʤȤƤʤΤˤġäƱǤͤġ
317ڡ 0:23:13 24718
nakakun
Ρäơ֣ĤۤפäƸ᤬ɬפǤϡ
ĤϺΤ顦
317ڡ 0:28:12 24719
̥ʡ֥꡼
ҤȤ꣱ġȤȤäǤ͡
ϤʤʤդȴޤǤ
317ڡ 0:30:13 24720
cm
5,7,10,1222,24,25,26ȤҤ񤭤ޤ
317ڡ 0:32:01 24721
̥ʡ֥꡼
ҤȤ꣱ġȤȤäǤ͡
ϤʤʤդȴޤǤ
317ڡ 0:33:01 24722
̥ʡ֥꡼
nakakunȥȤȤ֤äť...äޤ
317ڡ 0:37:30 24723
ʸ
ͤ
135ޤDz7Խ5ʤɽ񤤤ơ
5ܿβˤäƤޤ

ͤत衼
317ڡ 0:37:42 MAIL:kyorofumi@msn.com HomePage:ʸ24724
nakakun
֣ġפϤϤפǤ餫Ǥ͡餷ޤ
ܡ 317ڡ 0:41:18 24725
̥ʡ֥꡼
٤Ȥȡ

֤ҤȤ꣱ġפꤷʤв¸ߤʤʤ

¸ߤʤ褦ϽꤷʤϤ

äơ֤ҤȤ꣱ġפ˷ޤäƤ

...ȤˡǤ͡

⡢ʸ٤ȼĥտޤϤޤ
ñʤȤ˵Ťʤäʬ˻ǰ ʤ
ܱ餤ޤ
317ڡ 0:50:37 24726
n
7x+5yβˤĤ
0124556789Ǥ뤬3ϤǤʤΤǺǹ23

;̤ǤΤ礤βȤ餤ĤPCǤäƤޤۤƤޤΤľɤorz
ǤϤޤ
317ڡ 0:58:07 24727
n
20ʾǤȴƤޤ
317ڡ 1:09:42 24728

0=0+0 7=5+2 14=10+4 21=20+1 28=25+3 ͤ
dzäޤ꤬ƱΤ夫õɬפ˱ƣ­Ƥ
ˡǺʤ(ǽ)
ο飵ƤäΤǤơ
ɺʤǰ礭Τϡ
ݣ=ºݤ˺ʤΤǤ줬Ǥ͡
ˡι񡡡 317ڡ 2:00:58 HomePage:¤ο24729
Ȥ
ϤʤȤ狼äǤץǤ(Ǥ)
礭¤Фαm*n-(m+n) Ȥʤɽҥ
򸫤ޤǤϡ
θ˭ԡ 317ڡ 2:06:17 MAIL:nm528@ybb.ne.jp 24730
Revin
7ܿΤ
1ΰ̡Ǿο
0,55ǤޤʤΤǹͤɬפʤ
1,621
2,77
3,828
4,914

嵭ο7ܿʤΤ祳ޤʤ
οȤɽǾο礭ʤ5nä뤳ȤǤäѤޤʤ
Ĥޤ嵭ɽκǾο줾줫5ơǺοˤʤ
ä23
ȤͤǽФޤ
317ڡ 4:20:07 24731
kasama
Ϥ褦ޤޤͤ1000ʲäƾ˹ͤƥץˤ餻ޤ(^_^;)øʤ
317ڡ 9:21:17 24732
ȥȥ
#24712
⾮ˤޤǤޤ
٤᤯䤹ߤޤ
ʼ˸лԡ 317ڡ 10:40:49 MAIL:h-sakai@zb3.so-net.ne.jp 24733
ϥ饮㡼ƥ
Ϥ褦ޤ
matlabDz򤭤ޤ

ϷΤᤫ򤯤ΤݤȤʤäƤޤ
򤱤ͤ뵤ʤȤ֤
ʤäƤޤ
̶彣 317ڡ 11:08:17 HomePage:ĩ24734
uchinyan
Ϥˤϡ(äȽޤ)
ŪưפǤβˡ˾ꤳޤ
äݤˡȡؤäݤˡ򡢽񤤤ƤޤޤȤƤϤʤƤʤǤ (^^;

(ˡ)
դ顢ѡƥ˽ޤäͤοͿϡ5ܿ7ܿäɽʤοƤ뤳Ȥˤʤޤ
ǡޤ5ܿ7ܿäɽפˤĤƹͤƸޤ
̤ˡ 7 dz 0 6 ;꤬ޤϡ5ܿ7ܿäɽͤΤǡ
;7ܿΰ5ܿȤ;פ֤ơ7 dzä; 0 6 ȹ碌5ܿˤʤФ櫓Ǥ
7 = 5 * 1 + 2 ʤΤǡ; 2 ݥȤˤʤޤ 2 7 dzä; 0 6 ȤȤ߹碌ơ5ܿޤ
ºݤĴ٤ȡ
7 dzä;꤬ 0 ξ硧7ܿʤΤǡ5ܿ 0 Ȥơ˾ޤ
7 dzä;꤬ 1 ξ硧2 * 2 + 1 = 5 ꡢĤ 7 5+2 ֤5ܿơޤ
ξκǾοϡ7 * 2 + 1 = 15 ǤĤޤꤳʾΣ˷οϡɬޤ
7 dzä;꤬ 2 ξ硧2 * 4 + 2 = 10 ꡢͤĤ 7 5+2 ֤5ܿơޤ
ξκǾοϡ7 * 4 + 2 = 30 ǤĤޤꤳʾΣ˷οϡɬޤ
7 dzä;꤬ 3 ξ硧2 * 1 + 3 = 5 ꡢĤ 7 5+2 ֤5ܿơޤ
ξκǾοϡ7 * 1 + 3 = 10 ǤĤޤꤳʾΣ˷οϡɬޤ
7 dzä;꤬ 4 ξ硧2 * 3 + 4 = 10 ꡢĤ 7 5+2 ֤5ܿơޤ
ξκǾοϡ7 * 3 + 4 = 25 ǤĤޤꤳʾΣ˷οϡɬޤ
7 dzä;꤬ 5 ξ硧餫ˡ7ܿ5ܿȤ¤ˤʤäƤΤǡ˾ޤ
7 dzä;꤬ 6 ξ硧6 = 5 * 1 + 1 ʤΤǡ˷˵夷˷ +5 ޤ
ξκǾοϡ˷κǾ 15 5 ä 20 ǤĤޤꤳʾΣ˷οϡɬޤ
ʾΤȤ顢ʤ5ܿ7ܿäɽʤפϡ
˷ʤ
˷15 - 7 = 8 ʲ
˷30 - 7 = 23 ʲ
˷10 - 7 = 3 ʲ
˷25 - 7 = 18 ʲ
˷ʤ
˷20 - 7 = 13 ʲ
Ȥʤꡢդϡ 23 Ȥʤꡢ 23 ͤˤʤޤ

(ˡ)
פˡn ȤȤˡ5x + 7y = n 0 ʾ x, y ⤿ʤ褦ʺ n 뤳Ȥˤʤޤ
褯Τ줿褦ˡβϡt Ȥơx = 3n-7t, y = -2n+5t Ƚ񤱤ޤ
äơ x, y 0 ʾˤʤʤ
Ĥޤꡢ2n/5 <= t <= 3n/7 Ȥʤ t ¸ߤʤ n Ф櫓Ǥ
3n/7 - 2n/5 = n/35 ʤΤǡ餫ˡn >= 35 ξˤϡ t ʤȤĤޤ
n < 34 Ǥϡ0 < 3n/7 - 2n/5 < 1 ʤΤǡ
3n/7 ʬ [3n/7] 2n/5 ʬ [2n/5] 礭ʤ t ¸ߤޤ
n 34 ĤľĴ٤Ƥȡ
[3n/7] > [2n/5] for n = 34, 33, ..., 24, [3n/7] = [2n/5] = 9 for n = 23, ...
Ĥޤꡢn = 23 ǡƲ򤬤ʤʤޤäơοͿϡ23 ͤˤʤޤ

ͥνȡ 317ڡ 16:59:57 MAIL:uchi@sco.bekkoame.ne.jp 24735
uchinyan
#24705
ʤۤɡͭ̾ʤΤǤ
#24706
abߤǤΤȤma+nbǽ񤱤ʤ ϡ
䡡m,n0 ΤȤϡab.
䡡m,n0 ΤȤϡab-a-b.
Ǥ͡
줤ʷ̤Ǥͤ
#24731, #24729
ʤۤɡ#24735(ˡ)ƱȻפޤ껻餷ơǤ͡
ϡ̲Ǥʡ
7 a, 5 b, a > b ǡa, b ϸߤǡȤơ̤ˡ b dzä; r = 0, ..., b-1 Ȥޤ
a b ϸߤǤʤΤǡa ܿ b dzä;ˤϡ٤Ƥ r иޤ
0 ʾοǡb dzä;꤬ r ο c r ;ˤ a ܿκǾ c0 Ȥȡ
c = b * m + rc0 = a * n0 = b * m0 + rm >= m0 ʤΤǡc = c0 + b * (m - m0) = a * n0 + b * (m - m0)
Ȥʤꡢm - m0 >= 0 ʤСc a ܿ b ܿ¤ǽ񤱤ޤ
ǡc0 r ˤĤƸ c0_max Ȥȡc0_max - r ϡɬ¾ c0 Ǽ¸ƤΤǡ
c0_max b Τa ܿ b ܿ¤ǽ񤱤ʤοˤʤޤ
ǡ 0 ƤΤǡr = 0 ξ c0 ϡa * b ǤϤʤơ0 ˤʤޤ
Ĥޤꡢc0_max ϡa * (b-1) = a * b - a Ǥ͡äơϡa * b - (a + b)
⤷оݤȤ pa+qb, p > 0, q > 0 ˸¤ä顢#24706κǽξ硢n0 > 0, m > m0 ǤʤФʤ餺
m = m0 c0_max ǡr = 0 c0 = c0_max = a * b Ǥ

ͥνȡ 317ڡ 17:20:53 MAIL:uchi@sco.bekkoame.ne.jp 24736

http://www1.ttcn.ne.jp/~roro/santyare1.GIF
Τ褦ˣΥޥܤˣ񤭹ߤޤ
βοͤϣܿˤʤΤɬ뤳ȤǤΤǿ忧ɤĤ֤ޤ
ˣΣ鲼ϣˣ­ƤȤǤͤʤΤǿ忧ɤĤ֤ޤ
Ʊͤ˥ԥ󥯤Ǽܿˤ줾ˣ­ƤȤΣܿ鲼οͤȤʤΤǿ忧ɤĤ֤ޤ
ɤƤʤϣˤʤޤ
ǾܿˤʤޤǣܿƱˤ뤳ȤϤޤ
ޤǾܿˤʤޤǤɬƤޤޤ
Ǹ˻ĤäϺǾܿ飷ͤǤ
ݣᣲ
ϺǸޤɤĤ֤ʤäʤΤǤοͤΰľιԤˤͤ뤳ȤΤǤʤͤȤʤ
ݣᣲȤʤޤ

mxn-(m+n)̣ߤǤξΥޥܤ˽˿񤭹
ܿɤĤ֤ƤȺǾܿˤʤޤɬ㤦ˣܿ¸ߤ
Ǹ˻ĤäϡǾܿ顡ͤΤˤʤꡢ
οͤΣԾοͤϤˡͤȤʤޤ
317ڡ 17:04:16 24737
uchinyan
#24737ʤۤɡ
Revin#24731#24729#24736ʤɤȻפޤʬ䤹Ǥ͡
ʤС̤ξˤʬꤽʵޤ
ʤԤȤؤʤΤʸ#24724#24735ˤʤΤʡ

ͥνȡ 317ڡ 18:06:17 MAIL:uchi@sco.bekkoame.ne.jp 24738

5ܿοͿʤۤ뤳Ȥ7ܿ5ܿ+1,+2,+3,+4뤳Ȥͤ롣+37*3=28ǰֿǤȤ狼롣523ˤʤ롣(Ūʲˡ)
317ڡ 21:42:03 24739
Ƥĥޥ˥
RevinƱ
318ʶ 10:10:30 MAIL:katsuya.tokuno@mbk.nifty.com 24740
Ȼ
a*x+byǤ魯ͤa=2*n+1 ,b=a+2 Ȥơ1=a(n+1)-b*n=b(n+1)-a(n+2) 顢p*n+q*nʾʤǽǡa*n+b*n-1=a^2-2ǤԲ ,5^2-2=23˿ʤ٤ˤۤᤤΤϤ狼äƤǤɡ
318ʶ 12:43:26 24741
Ҥܤ
ߤʤβؤ󻲹ͤˤʤޤ
ʬäȸ椷ʤС
äȡ줫ͭ̾٤äΤϿǯΤȤǤ
ǶϤۤȤɽꤵʤʤޤ
ʤͭ̾ˤʤäȤ⤤Ǥ礦
319ڡ 2:25:11 24742
®

춦¹Ѥʹǡή̤Ƥʾϣ߶̤ȣ߶̤Ǥ뤽Ǥ^_^;
ΤȤԤäʧȤΤǤʤۤΤζۤƤ
319ڡ 10:56:30 24743
kobayashi
֤󣲣ߤǤ礦ʧȤǤۤϢ³ǣĽФƤʹߤϤ٤ʧǤΤϢ³룱Ĥζ(ߤ飲ߡˤΤҤȤļΣߤȻפǤ
320 2:40:23 24744
kobayashi
ʧʤۤ빽ǣ߶̤ȣ߶̤ϲʾʤǤϤʤǤ礦
320 2:49:15 24745
Revin
271ߤǤ
#24737Τɽβ17Ĥˤȡɤ18ܿʬ˥ʥʥ¤ǡɤʤʬ271ˤʤޤ
äƤ߶̺äƴǤ
320 14:52:53 24746
AS
ϡ5a+7b+ca,b0ʾc14Τɤ줫ˤɽɬפ롣⤷c=1ȡ
5a+7b+1=5(a+3)+7(b-2)
뤤ϡ
5a+7b+1=5(a-4)+7(b+3)
ѷǤ뤬餬
5A+7BA,B0ʾˤηˤʤäƤϤʤ
椨ˡb-2<0,a-4<0
Ǥꡢa,bϤ줾31Ǥ롣
äơξ硢ϡ
5*3+7*1+1=23
ʸ塢c=2,3,4ƱȤ򤹤ȡ٤23ˤʤ뤳Ȥʬ롣
ʾǤݤ̯

5a+7b+1=5(a+3)+7(b-2)ѷϡ5a7dzäȤ;꤬1ˤʤǾaͤƤޤξ硢Τ褦a3ǾʤΤǡ5*3=7*2+1ꡢѷΩޤǡaǾΤΤȤΤߥǤ⤷줬ʤȡ5a+7b+1=5(a+10)+7(b-7)Τ褦ѷǽǤ͡b-7<0ϡb-2<0٤Ƽ夤ΤǡǤϤʤ

ʾ塢ťɤȤäĤ䤹ʤȻפ˲ˡǤäȥ쥬Ȥ˲򤭤Ǥ͡
320 18:00:01 24747

󡡡
夬κǾϤɤɽǤ뤫ͤƤߤơ
ܣܣᣲ
ܣᣱ
ܣܣܣܣᣳ
ܣᣱ

ܣܣܣᣲ

ܣܣܣᣲ
ܣܣᣱ

ǡΰ̤ϣܣᣱǤɤȤǤɽǤΤǡ
줾ηΣΰ̤IJɽǤʤ
ɽߤƤߤơ礭ʤȤ󤸡
ȯDz򤱤ޤ쥬ȤʲʤǤ礦ͤʡ
321ʷ 1:40:55 24748
Wing
ΥǤϡ㤨ʤĤޤͿ򣵤dzä硢;ϣ䤦ʤ
;7*3Ȣ21ĤꣷϺǤ⣳Ȣä1,6,11,16ͤԲ
;7*1Ȣ᣷ĤꣷϺǤ⣱Ȣä2ͤԲ
;7*4Ȣ28ĤꣷϺǤ⣴Ȣä3,8,13,18,23ͤԲ
;7*2Ȣ14ĤꣷϺǤ⣲Ȣä4,9ͤԲ
;ĤɤοͿǤԤä㤨롣

椨˺23͡
ɤǤ礦
322ʲС 2:53:00 24749
Wing
ΥǤϡ㤨ʤĤޤͿ򣵤dzä硢;ϣ䤦ʤ
;7*3Ȣ21ĤꣷϺǤ⣳Ȣä1,6,11,16ͤԲ
;7*1Ȣ᣷ĤꣷϺǤ⣱Ȣä2ͤԲ
;7*4Ȣ28ĤꣷϺǤ⣴Ȣä3,8,13,18,23ͤԲ
;7*2Ȣ14ĤꣷϺǤ⣲Ȣä4,9ͤԲ
;ĤɤοͿǤԤä㤨롣

椨˺23͡
ɤǤ礦
322ʲС 2:54:56 24750