ߡ
Ǹ塢40504100Ǥ͡

ޤ狼ޤġ
1225ڡ 0:03:31 33485
Taro
줿ޤäƤƥߥʤ԰¤ʤΤǡץޤ(
1225ڡ 0:05:22 33486
kasama
ޤäƤޤ(^_^)
²λ 1225ڡ 0:06:04 33487
Die neue Frau
äѤꥪϤޤ
4100ޤǤʤǤ
4150ޤǤ4200ޤǤ4100ޤǤ3ळν˼»ܤޤ
ƻdz®ϤǤ͡ޤ
˳ھڡ 1225ڡ 0:08:40 MAIL:jjyhr530@yahoo.co.jp 33488
ߡ
ɤޤǤǺߤޤդ餷4150ޤǹԤʤȡ

ɤäץ38äǽ()
1225ڡ 0:10:26 33489
Die neue Frau
Ǥ⡢μϤʤ餳ʤǤ
˳ھڡ 1225ڡ 0:11:09 MAIL:jjyhr530@yahoo.co.jp 33490

Ǹ41504100Ǻ𤷤Ƥޤޤ괺4100ޤǵ¶ޤʡ

(4150/83 - 1)*(4150/50 -1)*1/2 = 2009

ǯǸȤƤɤǤ
1225ڡ 0:11:56 33491
Taro
#33489
BASICȤߤޤΤ餤ʸǤΤ(^^;

1 for i=1 to 82
2 z=z+int(i*50/83)
3 next :print z

ԤΤϤ졡 1225ڡ 0:14:22 33492
ߡ
ʤۤɡǼ
ȥץλǣʬϱۤǤ㡨

1225ڡ 0:14:32 33493
Ϥʤ
2059٤äƤޤäޤʤä

ޥ뤵󡢳͡ǯ⤢꤬Ȥޤ
Thanks ** v()v** Thanks
ɤǯ
1225ڡ 0:17:00 33494
sugitakukun
ͤФϡ

ϡޤ򤤤ִ֥ͥƩƸ褦Ǥ^^;
504100νϤ¡1004050νϤ¡ĤȤ褦˺ǽȺǸ夫äƤ49ˤʤΤǡȤϤ줬ڥ뤫Ȥá
2٤3٤׻ߥ򤹤뤫ʡ

ȡɽϤɤʤǤ礦
դȤƤ虜虜4200ޤǤˤտޤϤۤܤʤΤ41504100ȴޤ

ޤˤƤ⡣

2008ǯȾΥݥȥ󥭥󥰤轵ʳǡ

㡼ߡ80Pts
Taro71Pts

ǤΤǡno contestǤ뤫ɤ˴ؤ餺㡼ߡ󤬥󥭥󥰥ȥåפȤʤޤ
ƤǤȤޤ
KKS衡 1225ڡ 0:17:10 MAIL:sugitakuunikun@msn.com HomePage:White Shadow33495
Die neue Frau
ϡ183ޤǤο­碌83dz42ˤʤ롣
50ݤ2100
ʬϾʤȤ뤬4100ޤǤʿѤ05ʤΤǡ82ܤ41
4150ޤǤʤ20594200ޤǤʤ50­2109
4100ޤǤʤΤ2009Ȥʤ롣
4150ʤС®äʡǤ⡢βˡ˵Ťʤ٤ä
˳ھڡ 1225ڡ 0:17:10 MAIL:jjyhr530@yahoo.co.jp 33496
tomh
";"ξʬפäƤʤǤ

ޤκǸʬ֣""פˤʤäƤޤ衣 (^^;
ԡ 1225ڡ 0:17:48 MAIL:tomh@yahoo.co.jp HomePage:H to M33497
Taro
ޤ˲򤤤Ƥߤ
84512ˡ2-84-502009ƤʴǤ͡
ޤ꤯ɤȤޤۤ
ԤΤϤ졡 1225ڡ 0:19:14 33498
㡼ߡ
4100 ޤǤ쥤˲򤱤ΤǡʤΤʤȲᤷޤ
;פ 1 82 ٤ĸȤ⹻ؤˤͭ̾¡
Ȥޤ
ǯꤤޤ
Ȥ礦Ȥ䤯 1225ڡ 0:19:31 MAIL:kakuromaster@star.cims.jp 33499
Kazu
λǡλ
飴ޤǣĤΤǡʣܣˡᣲ
ޤޡ
1225ڡ 0:19:50 33500
Die neue Frau
#33495
2009=4149äΤ
κǤ
˳ھڡ 1225ڡ 0:20:14 MAIL:jjyhr530@yahoo.co.jp 33501
Kazu
λǡλ
飴ޤǣĤΤǡʣܣˡᣲ
ޤޡ
1225ڡ 0:20:36 33502
ʸ
4150ΥߥȻפäƤä2059ääƤ

ն2060,2061,2058äǤäƤ뤦˵Ťޤ
1225ڡ 0:21:02 33503
Taro
#33500
褦Ǥ
5083Ĺμ˳ʻǤгʬȤ
ѷοȹͤФ褤Ȼפޤ

ԤΤϤ졡 1225ڡ 0:25:48 33504
ߡ
̤ꡢοȰפޤ
ĤᥤβˡȤΤϤɤȤפޤ
1225ڡ 0:23:56 33505
ʸ
äȤޤ꤬٤ưۤʤȤΤȤޤ
1225ڡ 0:24:17 33506
Die neue Frau
#33503
#33488#33496˽񤤤̤ꡢ41504100ȤΤǡ4150ꤷƲ򤭡41004200ְ㤤ΤʤȻפä4200Dz򤤤ơ˺Ǹ夬4100ꤷƤξDz򤭤ޤФơ˹äǤ
˳ھڡ 1225ڡ 0:31:50 MAIL:jjyhr530@yahoo.co.jp 33507
BossF
2000顢ͤ2009ӥ󥴡ؤ
root of isle 1225ڡ 0:33:46 HomePage:fv2f-ftk@asahi-net.or.jp33508
ߡ
ʤ顢ǤǤͤġ
1225ڡ 0:35:50 33509

Ǹο4100ߤǤ͡

Ȥˤ¸Ƥߤ롣
00500100115012002
25033003350440044505
400048405048410049Ȥʤ롣
ǽФĴ٤Ƥߤȡ0011233445Ȥʤ롣
褯Ƥߤȡ2Ф1󤷤Ǥʤ롣
250/8331ꡢο5ĤĤȤ߹碌ǹͤȡ
00112餽줾3ĤƤäΤǤƤȤ狼롣
äơ1󤷤Фʤ258114749(4100Τޤ)ʤΤ
(1+48)48/22-(2+47)16/2+492009Ȥʤ롣
⤬񤷤

Ǥϡɤǯ򡦡
1225ڡ 0:49:46 33510
ֿء׾ι
ץޤȡ

N=0;
for(I=50;I<=4100;I+=50){
N=N+idiv(I,83);
}
N;

ʴˤʤޤʡ
ExcelȤ⤢ޤ
1225ڡ 0:50:50 33511
Ѥ
̤ߤδȤй뤫Τ褦˼Ȥ줿̥Ǥ˻פ鷺ʬۤٹ路Ƥޤޤ

[]Ѥơɵa,b϶Ǥʤ
a-1 < [a] < a
b-1 < [b] < b
ä a+b-2 < [a]+[b] < a+b
a+bʤС[a]+[b]=a+b-1ʤΤ4150/83=50Ѥ41*49=2009
Ƥ[4150/83]­Ȼפޤ;ˤФΤǧڡϤ4100ޤǤä褦ǡ
֡ 1225ڡ 1:02:41 HomePage:33512
⡼ޥ
50~4100 ǹͤޤ
(182)*50
ʤΤǡ٤;ϰۤʤꡢ1~82 ФϤ
50/83=050
100/83=117



4100/83=4672

50+100++4100=83*X+(1+2++82)
(1+2++82)*(50-1)=83*X
X=41*83*49/83=41*49=2009
1225ڡ 1:04:48 33513
ϥ饮㡼ƥ
Ϥ褦ޤ

ץǤǯϣǯǤܤƲǯ
狼ʤʤʤ褦ˤʤФȻפޤ
1225ڡ 5:17:58 HomePage:湩ؤ˥33514
abcba@jugglermoka
ξϣᣱmod83ˤʤΤǣĤο򣵣ȣΣ+ȻĤ꣸Ĥο򣵤Ķڤ꣱Ȥʬƿ夲ޤ+ʣ+ˡߣ/ᣲȷ׻ޤ
#33500,#33504ˡϥ쥬ȤǤ͡
1225ڡ 9:34:46 33515
Mr.ǥ
ɸ (0,0) (83,0) (0,50) (83,50) ǰϤޤĹ(ޤޤʤ)ˤʻΤ
ľ겼ˤʻοƱˤʤ
(501),(821)Ĺ(ޤ)γʻοȾʬ
(4981)/22009Ȥǵޤޤ

񤱤дñǤޤǤˤϼꤳޤ
ϥѥǥѡ()

ϥץȴñФǤ͡
> ޥ뤵2009ˤʤ褦ꡢǤ

1225ڡ 12:08:28 33516
ϺĹܲ
ϡޤ
ꡢäѤʬޤǤԤǤ
ä27Ϣ⤷ƤΤˡ
ޤƻ˴ĥޤ
1225ڡ 11:00:08 33517
uchinyan
Ϥˤϡơϡ
졤ˤŪ򤤤ȤޤΤηǼĤǥ⡼ޥ󤵤ͧȤƽФ줿ΤǤ
ǡñ˲򤱤ޤ (^^;ʴǤ

50, 100, 150, 200, ..., 4050, 4100 = 50 * 82 ϡ50 * = 1, 2, ..., 82 Ƚ񤱤ޤ
ǡΤϡ50/83 * ʬ¤Ǥؤˤʤޤ
y = 50/83 * x ȤƥդͤƤߤޤ
ȡ50/83 * ʬϡx ɸy ɸ y = 50/83 * x ʲγʻθĿʤޤ
ǡ¤ϡx = 1 82 δ֡ξüޤࡤ y = 50/83 * x ʲγʻθĿǤ
ǡ50 83 ϸߤǤʤΤǡΤ褦ʳʻ y = 50/83 * x ΥվˤϤޤ
ǡ(1,1), (82,1), (82,49), (1,49) ĹȤꡤĹμڤγʻͤȡ
դоꡤy = 50/83 * x 겼γʻȾγʻθĿվˤ̵äΤǡ
ʻθĿϡĹμڤγʻθĿȾʬʬޤ
ǡ = ĹμڤγʻθĿȾʬ = 82 * 49 * 1/2 = 41 * 49 = 2009 ˤʤޤ
Ƭǹͤˤϡ
ޤĹȤ (0,0), (83,0), (83,50), (0,50) 򥤥᡼ˡy = 50/83 * x 򥤥᡼
;ʬʤΤƹͤ⤷ޤ󡣼ºݡϤޤ
ȡ(83 - 1) * (50 - 1) * 1/2 = 82 * 49 * 1/2 = 2009 Ǥ͡

ʤ50 83 ߤǤʤΤǡ50 * 83 dzä; 1 82 Τ٤Ƥ 1 󤺤ĸޤ
ΤȤȤȡ̲ǽǤ
50 * = 83 * + = 1, ..., 82 = 1 82 Τɤ줫ĤġʤΤǡ
μա­ȡ ¤¤ˤʤ뤳Ȥ顤
= {(50 + 100 + 150 + ... + 4050 + 4100) - (1 + 2 + 3 + ... + 81 + 82)}/83
= {50 * (1 + 2 + 3 + ... + 81 + 82) - (1 + 2 + 3 + ... + 81 + 82)}/83
= (50 - 1) * (1 + 2 + 3 + ... + 81 + 82) * 1/83
= 49 * 82 * 83 * 1/2 * 1/83
= 49 * 41
= 2009
ȤǤޤ͡

ˤƤ⡤ 2009 Ȥϡ
ͥνȡ 1225ڡ 11:08:51 MAIL:uchi@sco.bekkoame.ne.jp 33518
uchinyan
ǼĤɤߤޤǽ顤㴳ʸˤޤäΤǤ礦

#33486#33492#33511#33514
ץࡣޤΤˤͶǤ礭

#33491#33504#33505#33516#33518κǽβˡ
դͤ롤ϤȻפˡ

#33495#33500#33504#33512(¿ʬ)
504100νϤ¡1004050νϤ¡ĤȤ褦˺ǽȺǸ夫äƤ49ˤʤΤǡ
䤢ȤϤ줬ڥ뤫Ȥá
Ȥˡ¤ϡդǹͤΤȡ̣ƱʤǤ

#33496
ʿѤ򤦤ޤȤˡ
¿ʬ83 dzä;꤬ 1 82 1 󤺤ĸȴطƤȻפޤ

#33498
84512ˡ2-84-502009ƤʴǤ͡
ȤˡˤǤϤ褯ʬ餺
դȤäˡǤ⡤ͤˤäƤϽФƤ뼰Ǥ

#33499#33506#33513#33518̲
;פ 1 82 ٤ĸȤ⹻ؤˤͭ̾¡
Ȥޤ
Ȥˡ

#33510#33515
Ȥˤ¸Ƥߤ롣

00112餽줾3ĤƤäΤǤƤȤ狼롣
äơ1󤷤Фʤ258114749(4100Τޤ)ʤΤ
(1+48)48/22-(2+47)16/2+492009Ȥʤ롣
Ȥˡ
#33515
ξϣᣱmod83ˤʤΤǣĤο򣵣ȣΣ+ȻĤ꣸Ĥο򣵤Ķڤ꣱Ȥʬƿ夲ޤ
䣴+ʣ+ˡߣ/ᣲȷ׻ޤ
Ȥˡ
ĶڤƱǤ㤤ޤ͡
ͥνȡ 1225ڡ 11:54:12 MAIL:uchi@sco.bekkoame.ne.jp 33519
abc
̲ȡͤˤʤޤ͡
a,bߤǤǤ뼫Ȥ(b1)ΤȤ
a*1,a*2,,a*(b-1) (b-1)ĤγƼbdzä̤ξʬ
ڼΤƤʬΤߤ¤ϡ(a-1)*(b-1)/2 Ȥʤ롣
1225ڡ 13:19:55 33520
uchinyan
#33520
ϤǤ䤬˲򤤤ΤǤ
ͥνȡ 1225ڡ 15:50:12 MAIL:uchi@sco.bekkoame.ne.jp 33522
ߤγ
ʬǵơǽȺǸ­4983/83ܤ⻰ܰʹߤƱʤΤǡ
ʲʬϳ83/83ˤޤȤޤꡢʬ¤49*41ˤʤޤ
1225ڡ 20:09:25 33523
Ф
50ߡ8283)283)=2050(50++4100)/83Ǥ
8283)/(283)=41(1/83++82/83ˤǤ
2050-41=2009
䤵ΤˡȾϤ83dz˺Ƥɤ餤ˤʤäޤä
ʤƤä

ĤⲿǤ
http://blog.goo.ne.jp/akeot/
ˤͷӤƤ͡
1225ڡ 21:45:13 33524
Mr.ǥ
ѤݤΡ#33524
> ĤⲿǤ ˤͷӤƤ͡

褯ͷӤ˴󤻤Ƥ餦ΤǤ礤˳ڤ륵ȤǤ
ơꤷȤǤʡɤ13פǤ
ץǤï˲򤫤Ƥޤޤ

1226ʶ 8:02:48 33525
λȼ
СǯϣǯǤ
ޯȵĤޤǻ֤äƤޤޤ

ˤȤäǯ褤ǯˤʤޤ褦ˡġ
zerostar 1226ʶ 1:43:03 33526

#33518 uchinyanͤ

592βǤϤʤǤ

http://www.sansu.org/bbs2/readlog.cgi?START=31784&END=31859&TITLE=裵ʬβ
1226ʶ 12:34:13 33527

äȡޤ󥯤Ǥʤ
1226ʶ 12:49:24 33528

#33525Mr.ǥ͡ڤӤФͤ

ƱǤ礤˳ڤ륵ȤȻפޤ

顢Mr.ǥꡢͤƤߤޤ
1226ʶ 13:16:25 33529
̵
410050dz82ȤʤΤDzޤͤΤȻפ5041001004050ġ21002150Ȥ˥ڥǹͤƤߤޤ
ƥڥο83dzȾʬ¤1ˤʤʬ¤49ˤʤΤǡ4941ʥڥοˡ2009ȵޤޤ
1226ʶ 14:31:42 33530
Ϥŷ
ǯǸǤ
ϥ⡼ޥ󤵤ƱǤ
ޤη׻ߥorz
1226ʶ 16:38:55 33531
uchinyan
#33527
592βǤϤʤǤ
ȡ㤦褦ǤʤβФƤޤ (^^;
ͥνȡ 1226ʶ 17:20:38 MAIL:uchi@sco.bekkoame.ne.jp 33532
Ф
#33525,#33529
Mrǥ󡣷󡣤Ʊ꤬Ȥޤ
ϻμȤ곧ФƤΩƤĺƤ̤Ǥ顣


ҤäȤ̾ͳϸǤμΧɽǤʿʼ꡼١

1227ڡ 8:44:02 33533
Ф
ĤǤˡ⤦1
http://blog.goo.ne.jp/akeot/
1227ڡ 8:47:00 33534

#33533That's right!
褯狼ޤ͡䤬ΤȤ۾ʲإޥ˥äȤ餳̾
ֻפΥʡ夬äƤޤ͡
1227ڡ 13:58:10 33535

󣲥֤˹ޤ
⤷褫ä顢ۤ

http://wwwa.dcns.ne.jp/~orienteering/link1-2.html

𤹤ߤޤ(_ _)
ܿĻԡ 1228 1:36:17 HomePage:33537
Mr.ǥ
ʾ󡣡Τ褦ʤΤ¸
http://www.museum.city.ichinoseki.iwate.jp/icm/06events/h20_ws07.html
1228 15:17:57 33538

#33538ۤ鼪Ǥͭפʾɤ⡣
1228 17:17:30 33539
ޤ䤭
äơֻ˥󥸡פԷǼĤ줿
1229ʷ 10:40:18 33540
粬ҹ
ϥޥ뤵󡢣ϸǤʡˡפ֤˻餷򸫤ƴưޤǯ⵹ꤤޤ
1230ʲС 20:42:01 33541
翹˼
¸Ūˡ833505-1Фơ
1231ʿ 12:32:16 33542
Mr.ǥ
ޤƤǤȤ¤ޤ
ޥ뤵 Ϥ᳧ǯꤤޤ
11ڡ 0:47:25 33543
Ѥ
ޤƤǤȤޤ
ǯꤤޤ

äޤڤβȤͷǤޤ
֡ 11ڡ 3:56:00 HomePage:33544

ޤƤǤȤޤ
Ȥͤޤ
ܿĻԡ 11ڡ 3:58:32 HomePage:33545
fumio
ޤƤǤȤޤ
ǯꤤޤ
11ڡ 6:43:04 33546
fumio
ǤʤϤϤϡ
͡ޤƤǤȤޤ
ǯꤤޤ
11ڡ 6:48:45 33547
⡼ޥ
ޤƤǤȤޤ
ǯꤤޤ m(_ _)mv

ī١ѤƤޤä...^^;
11ڡ 10:04:18 33548
ޥ
ǯޤƤǤȤޤ

͡ǯꤤޤm(__)m
iMac 11ڡ 10:41:13 MAIL:masaru-y@sansu.org HomePage:֥Τۤ33549
uchinyan
ޤƤǤȤޤ
ǯ⵹ꤤפޤ
ͥνȡ 11ڡ 11:12:47 MAIL:uchi@sco.bekkoame.ne.jp 33550

ޤƤǤȤޤ
ǯ⤳ΥȤˤϤäˤʤ뤳ȤȻפޤ
ɤꤤޤ
11ڡ 12:18:04 33551
toby
ޤƤǤȤޤ
11ڡ 13:57:49 33552
ͧοʺ
ǯꤤޤ
ܡ 12ʶ 0:03:15 33553
ma-mu-ta
ޤƤǤȤޤ
ڤޤƤ꤬Ȥޤ
ǯ⵹ꤤפޤ
12ʶ 12:25:08 33554

ˤؤꡣ

ʣˣ^2/ܣ^2/ᣱ䣰䣰ʤưȤ
log2ءlog2κͤ衣

ʣˣĤʪ
^2ݣܣġĭݣ^2abġĭ
ϡθΣģФǡߤľ򤷤ƤΤȤ롣ΤȤʪϡab̵ͤطʰѤ̤뤳ȤѤκɸ衣
13ڡ 13:06:59 33555
Ф
ˤꡣ

Ⱦ£αߤα߼ʬˣ£ãģţƣǣȤȤ롣
ơ£šãȡģǤ֤ȿǤ롣Ѥء
13ڡ 20:01:27 33556
Ф
ޤƤǤȤޤ˺ޤ
13ڡ 20:03:05 33557
ϥ
ޤƤǤȤޤ
ڤޤĺƤޤ
ǯ⵹ꤤפޤ

ˤäΤĩ路Ƥߤޤ


(1)
log2(x)+log2(y)=log2(xy)
x=2cos,y=5^1/2sin(0ȡ/2)Ȥ
xy=5^1/2sin2ȤxyϦ=/4,¨x=2^1/2,y=(10^1/2)/2ΤȤ5^1/2
ΤȤlog2(xy)log2(5)/2

(2)
f(x)=^2ݣܣ,g(x)=ݣ^2ab,PΣɸȤȡդ
f(ˡg(ˡĭf'(g'(ˡݣĭ
b=-a+5/2
ݣ^2abaˤĤ
ʪϡx-1)a-x^2-y+5/2=0Ȥʤ롣
aˤĤƤιȤߤʤСx-1=0,-x^2-y+5/2=0
¨(x,y)=(1,3/2)
ʾˤʪϡab̵ͤطʰ(1,3/2)̤롣

Фݤ

ΰդĹȬѷABCDEFGHΰդĹ
ߤ濴OAB=xȤȢOABˤ;
x^2=1+1-2cos45=2-2^1/2

ޤ̰켡ˤʤκǤ礦
14 11:47:45 33559


ʣlog2ʢ壵
ʣ˾άѡʣ3/2
14 11:57:09 33560

ˤͭ̾Ǥ

߼Ψ3.05礭Ȥ衣ء
14 11:58:50 33561
ϥ
ޤޤˤäΤǡ

Ⱦ£αߤܤѷդDzȤʤꤽǤ͡
14 12:58:34 33562
Mr.ǥ
#33562
Ⱦ£αߤܤȬѷǤ֤˹礤Ǥ͡
14 14:07:29 33563
ϥ
#33563
Τˡ
ĹǹԤOKǤ͡
ΤѤǹͤƤޤ
14 14:32:05 33564

ִñʤΤ12ѷǤʤǤ礦
14 14:58:41 33565

Ⱦ£αߤܤѷμϡ;
ʢ壶ݢ売
ʡ⤬3.05/礭Ȥơ
14 15:01:23 33566
Ф
ϥ뤵Ǥ

ĤǤǯǤʥǤ֤ǤϤƤդᤤƲ򤱤ʤʤäꤷ褦Ǥ衣Ȥ
15ʷ 7:08:56 33567
ߤ
߼ΨᣳȤȤȿȯƤꡣ

߼Ψ򣳤ȤȤ֤ߤα߼᤽αߤܤѷμĹ
Ȥʤޤ
Ǥϡ֤ߤѡ᤽αߤܤʡ˳ѷѡפ
ʤȤʡˤϤġ
16ʲС 18:32:45 33568
Mr.ǥ
#33568
ϡǤ͡
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