Ȥ
basic ǡޥ,ȥ⥨,ޥҥa,b,cȤ

FOR a=0 TO 10
FOR b=0 TO 10
FOR c=0 TO 10
IF a+b+c<=10 THEN LET s=s+1
NEXT c
NEXT b
NEXT a
PRINT s
END

f9ơ286()
˭ԡ 115ڡ 0:05:34 MAIL:fttnm528@ybb.ne.jp 42825
Mr.ǥ
10ĤΡȡܤλڤ¤٤
ڤ˶ڤ줿ĽˤθĿ򺸤
ޥ뤵󡢥ȥ⥨󡢥ޥҥ󡢡10ݣͤιסˤȤФ褤Τ
13C3=286̤ˤȤޤ
115ڡ 0:08:42 42826
ʪ
ѥɤΤޤޤˤʤäƤޤ

ޤ3ͤ˲äڼʤäۤͤ롣

1Ĥ1ȻפäƤ
ˡڤ3ơ3ͤȡڼʤäۤʬޤ
13ĤΥѡĤΤ10|3ĤǤ
ä13C3=286
ܡ 115ڡ 0:09:58 42827
٥륯åĥ
ͤĥäƿƤߤ顢ְ㤨ޤ
ľƤä
115ڡ 0:17:53 42828
ǯ
ʤ׻Ǥǽϣͤȴ㤤ƤƿˡǸľƤޤ
­ϡͤȤơͤʬ䡣
νλ˸ǤޤǽˣĤƤơǣİФ褤Ȥơʬϣˤ򣴤ĤʬʣڤꡣĤ­ˤޤ
ξ¦ޤ᤿ʣȹ碌ǤƱääñ

115ڡ 0:37:41 42829
⡼ޥ
ä ^^;
11H3=13C3 Ǥ褫äΤͤ...
ߤʤȯۤ餫

錄ĤޤäءOrz...
(1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10)^3
...x^10ޤǤη(׻㤤ޤɡ^^;;)
=1+3+6+10+15+21+28+36+45+55+66
=286
¨ ^^;v 115ڡ 0:23:59 42830

äȴñˤǤˡʤȻפʤ
ˤ櫓ƿޤ
ʣȤ߹碌ǤäΤǤ
Ϻꡡ 115ڡ 0:53:57 42831
4329ܤβ
10-3ͤιäͶ4ܤ¸ߤȲꤷ4ͤι10ˤʤοޤ
10ĤΡ3Ĥλڤΰ֤4ͤޤΤ13C3=286̤
115ڡ 1:09:21 42832
ޤ
˷ǼĤ뤳ȤǤޤ(^^

ʣιͤDz򤭤ޤ
ֲͶ4(Mr. X)פ¸ߤˤϵŤ
10ξ硡10ĤȻڤ2ܤνʣ
9ξ硡9ĤȻڤ2ܤνʣ

ʬƷ׻ޤ orz

#42830 ⡼ޥ󤵤 ƱǤ
...x^10ޤǤη¡פȤȤԥȤƤʤΤǡ
̶л֤ǹͤ뤳Ȥˤޤ
somewhere in the world 115ڡ 2:55:07 42833
???
VBSCRIPT
for a=0 to 10:for b=0 to 10-a:k=k+11-a-b:next:next:msgbox k
115ڡ 8:14:41 42834
̴
Ȥ߹碌׻ǤΤǡǤȡפϣϣϣϣȤʤꡢȤ߹碌οκƤΤǣǤϣ
ٻΤ桡 115ڡ 8:52:41 42835

ˤ
ꥮޤ̤ΤȤƬȤ줭äƤ
ְ㤤򤷤ƤҤƤޤ
3ͤȤƱ2ͤƱ3ͤȤ㤦Ȥ
ʬƿޤ
Ȥ߹碌ϡͶ4ܤͤФ褫äǤ͢
ǼǤ
115ڡ 11:14:57 42836
uchinyan
Ϥˤϡơϡ
Ϥޤ˸ѥǤ͡ؤݤʤäƤޤޤʴǡ


ޥ뤵󡤥ȥ⥨󡤥ޥҥ 0 10 Ȥơ
0 <= ޥ + ȥ⥨ + ޥҥ <= 10
Ȥʤοͤ뤳Ȥˤʤޤ(ˡ 3.5 ʤɤϹͤʤƤΤǤ礦)
򤯹ͤϤĤޤΤ褦˹ͤΤñǤ礦
ܡ 14 ĤȻڤĤ 3 Ѱդܡ򲣰¤١ܡδ֤ 13 Ľ˻ڤĤ졤
ܡκüǽλڤĤޤǤΥܡθĿ 1 ޥ뤵
ǽλڤĤ飲ܤλڤĤޤǤΥܡθĿ 1 ȥ⥨
ܤλڤĤ飳ܤλڤĤޤǤΥܡθĿ 1 ޥҥ
ȤޤĤΥܡϹͤޤ
ȡοȤͤˤʤäƤꡤ⤽бϣǤ
ǡοϡ13C3 = (13 * 12 * 10)/(3 * 2 * 1) = 286 ̤ˡˤʤޤ

껻ݤȻפä̤Ȥ߹碌ȤޤʣȤ߹碌ΤäƤмʡ

ޤǤۤɤƱǡ
ܡ 10 ĤȻڤĤ 3 Ѱդܡ򲣰¤١ξüȥܡδ֤ 11 Ľ˻ڤĤʣ졤
ܡκüǽλڤĤޤǤΥܡθĿޥ뤵
ǽλڤĤ飲ܤλڤĤޤǤΥܡθĿȥ⥨
ܤλڤĤ飳ܤλڤĤޤǤΥܡθĿޥҥ
ȤޤĤΥܡϹͤޤ
ȡοȤͤtˤʤäƤꡤ⤽бϣǤ
ǡοϡ11H3 = 13C3 = (13 * 12 * 10)/(3 * 2 * 1) = 286 ̤ˡˤʤޤ

ƻ˿ƤⲿȤʤޤ͡
ͥνȡ 115ڡ 16:35:55 42837
uchinyan
ǼĤɤߤޤ

#42826#42827#42832
10 ĤΡ 3 ܤλڤ¤١ڤ˶ڤ줿ĽˤθĿ򺸤顤
ޥ뤵󡤥ȥ⥨󡤥ޥҥ(10 - ͤι)ȹͤˡ
#42837ǤñǤ͡

#42828#42831#42835#42836
ƻ˿ˡ
ХꥨȤƵ§Ѥˡ⤢ޤ

#42829Ⱦ#42837Ⱦ
14 ĤΡδ֤ 3 ܤλڤ졤ڤ˶ڤ줿ĽˤθĿ 1 򺸤顤
ޥ뤵󡤥ȥ⥨󡤥ޥҥ(10 - ͤι)ȹͤˡ

#42829θȾ#42837θȾ
10 ĤΡδ֤ 3 ܤλڤʣ졤ڤ˶ڤ줿ĽˤθĿ򺸤顤
ޥ뤵󡤥ȥ⥨󡤥ޥҥ(10 - ͤι)ȹͤˡ

#42830
(1 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9 + x^10)^3 x^10 ޤǤη¡ȤƵˡ
򤯤ΤˤϵѤäݤǤǥ򤤤Ȼפޤ

#42833
ͤιǾʬ줾#42829θȾʤɤΤ褦˽ʣȤ߹碌Ƿ׻­碌ˡ

#42825#42834
ץˤˡ
ͥνȡ 115ڡ 16:37:37 MAIL:uchi@sco.bekkoame.ne.jp 42838
ϥ饮㡼ƥ
ץǤscilabȤޤ

б˥ˤ򿩤٤˹Ԥޤ̣äǤ
ԡ 116ʶ 8:54:55 42840

ġãĤǡ133Ǥ
117ڡ 0:57:59 42841

2ܤǤޤ
ɤΤȤx+y+z10ȤʤȤ߹碌ȹͤޤ
12/10!211/92ܡ3/121
6655453628211510631286

3ܤǹԤǤ͡
ٶ­Ǥ
117ڡ 1:41:13 HomePage:42842
ϻù⡪
§ǧȤϳǴλޤww
117ڡ 22:59:11 42843

ڤäġkĤνޤ
k=010ϰϤ
{(k+2)!/(k!*2!)} ׻
ñˤȡ(1/2)*{(k+2)*(k+1)}
286
118 18:37:55 42844
ߤ
ǯΥ󥿡ꡢߤʤ򤤤ƤߤǤ礦ؤä
ϻϰϤDz򤱤ʣɣ裴䡦裵򤤤Ƥߤޤ


֡ġФˣġƱ٤ʤ褦¤٤ꡣ
ȤʤƤĤȤ郎դƤޤ
ʣΤDz̤ꡩ
ʣ˺оΤʤΤϲ̤ꡩ
ʣġФΣΤߤȲ̤ꡩ
ʣ֤ĤΤϲ̤ꡩ
ʣ֤ĤʤΤϲ̤ꡩ
ĤޤñǤƤʣˤǥ櫓ǡ
ʣ֤ĤʤΤϲ̤ꡩ
ΤʣˤȡʣˤȡʣˤФ褤ȤΤϤ狼äƤǤɤ͡餱ˤߤǤɡ
礷Ȥ߹碌οʤ顢֤Ĥξ⤭ȿƤСʣˤΥߥˤⵤŤΤˡ

ʤ餤ʤʣˤǤ⥵ӥꡣ֣¤٤֤ĤʤΤϲ̤ꡩפȤˤʤꤽ


ʣˣǰʬ򤷡οϤġ
񤭽ФƤ⤿ΤƤޤʻؿܣˤݤ碌иĿФ
ȤΤϻϰϤʤǤ礦
ʣˣߣߣȤʤȤκǾΣȡλΣϡ
Ū˽ľФȤǤ͡
ʣˣߣ򣱣dzä;꤬ˤʤȤκǾΣȡλξʣ̡ˤϡ
뤬ǣ̤ȤȤϡ뤬ʡȤȤƤϤ
ꡣʬäƤ륻󥿡ʤǤϤβǤ͡
䤬򤱤ΤϤޤǡʴˡ

ʤ󤫣¤񤷤äȤαǤ̤ƤɤʤäΤǤ礦
121ʿ 1:10:55 42845
???
̵ʤ餺
122ڡ 8:42:08 42846
uchinyan
ޥ뤵
˻Ǥ͡ϤΤӤԤäƤޤΤǤ줰⤴̵ʤʤ褦ˡ

ơ󡤻ϡ󥿡ϤޤƤʤΤǤ
ܿإԥå(JMO)2015ǯͽ򸫤Ƥߤޤ
Ϥ顣
http://www.imojp.org/challenge/old/jmo25yq.html

JMOͽϤ褽פ꤫񤷤ؤ¤ǤΤǡ
1. 6. Ūưפ˲򤱤ޤ7. ǹͤΤβȤ8. ϲ򤱤Τη׻
δȡǤϤǻڤǤ礦
ͽ̲ᡤA 󥯡 7 ʾȤΤȤʤΤǡ֤˼夤Ԥλˤ̵

6. ϼ¼ǻˤФǤ7. ϾĶǤϤ껻ǽФƤ⤤ʡ
񤤤Ƥޤ礦ϻ줬٤ߤʤΤǡˤϤɤ

θǤ
9. ϡΤݤǤͽʤΤǡդŪưסդʤѡ
10. ϡץȤнֻǡ׻Ǥ⵬§Ĵ٤ʬΤǤͳʤʤޤ
11. ϡ׻򥴥ꥴäƲȤ
12. ϡޤƤޤ
ĿŪˤ ޤ10. 򲿤ȤǤ

JMO2015ǯͽ 6.
abc ΣĤξߤȤ롣
abc κ 1 Ǥ롣
ab + c κ 1 礭
bc + a κ 1 礭
ca + b κ 1 礭
ΤȤa + b + c ΤȤꤦǾͤ衣

JMO2015ǯͽ 7.
l xy ʿ̾ľȤ롣2015 Ĥ (m,n) (m = 1, 2, ..., 20, n = 1, 2, ,..., 15) Τ
ʤȤ⣱Ĥ̤ l ʿԤľϤ礦 222 ¸ߤʤl Ȥ l ʿԤľȤߤʤˡ
ΤȤΤʤȤ⣱Ĥ̤ l ȿľľϲ¸ߤ뤫
ͥνȡ 123ʶ 11:12:40 42847
ޤ
Ĥ¤ʲˤʤϣ̤ꡣ
ĤοƱξϣ̤
ĤƱϣ̤ߣ
Ĥ㤦ϣ̤ߣ
ܣߣܣߣᣲȤޤ
122ڡ 15:26:56 42848
!!!
JMO
10mod3mod13
11Ϸ׻
12̵
122ڡ 22:23:26 42849
ߤ
äȺǯνëĥꡣ

Ʊ礭ΩΤ̤ɤŽ碌ƿΩΤȤ
ʣΩΣĤȤ
ʣΩΣĤȤ
줾첿ΩΤǤ뤫žƱˤʤΤϣȤ롣

ޤʣˤϿ夲ФɡǤ餷ǤΩΤ
ɤʿ޷ˤʤ뤫񤭽Фˤ޼Ť餤Τ
ʣˤϼΤäݤɡޤ뤫ʤ
123ʶ 2:10:13 42850
uchinyan
#42849
!!!
10mod3mod13
ʤۤɡ Ǥޤޤ͡ɥХ򤢤꤬Ȥޤ
ͥνȡ 123ʶ 11:20:08 MAIL:uchi@sco.bekkoame.ne.jp 42851
ޥ
ߤޤ󡣺ϡˤͽ꤬äƤΤ򤹤ä˺ơν򤷤ƤޤǤߥޥ..

JMOˤϼФƤޤ󤬡󥿡ϡʻŻǤ˲򤭤ޤ2BϻŪ˥ĤǤ䤾ʵޤäȤǤͤޤȻڤˤʤꤽǤ
iMac 124ڡ 1:22:16 HomePage:ARENA42852