Taro
#29993
ǹͤȡ2ptäȻפޤ
#ä30000Getޤ(^^;
614ڡ 0:53:28 30000
sugitakukun
#29988
ExcelȤɤϢ³Τ褦Ǥ
ȤϤǤɡĤͤ

#30000
ä30000Ǥ
ȴƤ룲Τǻ䤬5̤äФΤ¿ʬʤΤǤ礦ޤǤΥꥫХԤȤȤ^^;
KKS衡 614ڡ 1:14:45 MAIL:sugitakuunikun@msn.com HomePage:White Shadow30001
⡼ޥ
ޤ ^^;
1,1,1,1 ˡĤ (50-4)/2=23 Ĥ2äФ褤Τǡ
4H23=26C23=26*25*24/3*2*1=2600
614ڡ 1:21:43 30002
⡼ޥ
#29974
ĹءֻǤƹǤ^^;v
꤬ȤޤOrz

>׻ߥΤ񤷤餤ñˤǤˡ⤢ޤ衣
>nCrp^(n-r)q^r (r϶,q=1-p
>={(p+q)^n+(p-q)^n}/2
>={1+(2p-1)^n}/2

錄⤽פäΤǤʬʤä^^;
ꤤˡǤ͢
614ڡ 1:38:26 30003
banyanyan
ޤޤٶ­Ǥorz
Իԡ 614ڡ 1:51:22 MAIL:banyanyanmi@yahoo.co.jp HomePage:뤤²ײݻ30004
ϥ饮㡼ƥ
Ϥ褦ޤ˥ץǤ

ȤHPΤۤ˥åȡǺܤޤ
ΰǯ֤ǣ䤻ޤס褦
ʤޤ⤭ƱˤˤäΤǤ
иˤʤäƤޤ
614ڡ 6:34:34 HomePage:湩ؤ˥30005
uchinyan
Ϥˤϡơϡ
ŪפȤʤɤDz򤤤Ȥ롤ȤäΤǤϤʤΤǤ礦
ؤǹͤΤڤǤ餷Ƥߤޤ

Ϳͤιפ 50 ǡƿͤǤ뤳ȤͤСƿͤ 50 Ķ뤳ȤϤʤ
ƿͤ 50 ʲȤΤϼΩƤޤ
ơμǤ褯褦ˡܡθĿ֤ơͤĤȢ 50 ĤΥܡʬȸޤ
ȡȢΥܡ뤬ˤʤ뤿ˤϡޤ 1 ĤĥܡȢƤơ
Ĥ 50 - 4 = 46 ĤΥܡ 2 ĤİȤˤƤȹͤФǤ
Ĥޤꡤ46/2 = 23 ȤͤĤȢʬФΤǡ23 Ȥ 3 Ĥλڤ¤٤ФǤ
ǡοϡ(23+3)C3 = 26C3 = (26 * 25 * 24)/(3 * 2 * 1) = 26 * 25 * 4 = 2600 ̤Ǥ
ͥνȡ 614ڡ 8:58:35 MAIL:uchi@sco.bekkoame.ne.jp 30006
uchinyan
ǼĤɤߤޤ
㴳ιפκۤϤ褦Ǥäˡ4 ­#29997ʤɡڤƱ褦ʵޤ
ʤץȤǤñǤ͡
ͥνȡ 614ڡ 8:55:31 MAIL:uchi@sco.bekkoame.ne.jp 30007
⡼ޥ
ߤͧǤ0rz



λͶˤ줾֤ĤΥפ1ĤĤޤĤǤ⤽줾줽Τɤ餫Ҥޤߤ֤ĤäƤĤƤޤξ1233ĤΥܥ󤬤ޤ򲡤ȰʲѲޤ

1Υܥ󡡡ɤ1ս֡ĤοѤ롣
2Υܥ󡡡ɤ줫٤ä2սοѤ롣
3Υܥ󡡡ɤ餫гξü2սοѤ롣

פϸޤ󤬡⤷4ĤΥפο٤Ʊˤʤä顢֥ʤäƿƱˤʤäȤ狼롣ơǽξ֤ɤΤ褦ǤäƤ⡢ޤɤѤäȤƤ⡢μˤȡ¤줿Ǥ٤ƤΥפοƱˤ뤳ȤǤޤ
μ򼨤
614ڡ 8:57:40 30008
uchinyan
#30008
ɡߤĤ֤Ӥ褦ʤΤǤ

ǽΥפϡ֤ĤȤäƤΤ 2^4 - 2 = 14 ̤ꤢޤ
֡оꡤɼλĤΥѥʬǤޤ
(1)ѥ󣱡Ĥۤʤ
֤ 0Ĥ 1 ȤȡŪˤ
10 01 00 00 01 10 11 11
00 00 10 01 11 11 01 10
(2)ѥ󣲡ϲƱ¤־
11 00 10 01
00 11 10 01
(3)ѥ󣳡гƱ¤־
10 01
01 10
ơĴ٤ƤߤȡΥѥȥܥȤˤϼδطޤ
ѥ󣳤˥ܥ󣳤Ԥȡɬ٤Ƥο
(3)-3->OK Ƚ񤭤ޤ
ѥ󣲤˥ܥ󣳤ԤäƤ⡤ѥ󣲤ΤޤޤǤ롣(ѥǰܤ礦)
(2)-3->(2)
ѥ󣲤˥ܥ󣲤Ԥȡ٤Ƥοѥ󣳤ˤʤ롣
(2)-2->OK or (2)-2->(3)
ѥ󣱤˥ܥϥܥ󣲤ԤäƤ⡤ѥ󣱤ΤޤޤǤ롣(ѥǰܤ礦)
(1)-3->(1), (1)-2->(1)
ѥ󣱤˥ܥ󣱤Ԥȡ٤Ƥοѥ󣲤ѥ󣳤ˤʤ롣
(1)-1->OK or (1)-1->(2) or (1)-1->(3)
ΤȤθȡ٤ƿˤϡ
a)ѥ󣳤ФƤϥܥ󣳤ԤȤ褤
b)ѥ󣲤ФƤϥܥ󣲤Ԥǥʾϥѥ󣳤ˤʤäƤΤǡ
ܥ󣳤ԤȤ褤
c)ѥ󣱤ФƤϥܥ󣱤Ԥǥʾϥѥϥѥ󣲤ˤʤäƤΤǡ
줾Фơa)b)ԤȤ褤
ĤޤꡤѥѤʾ򤦤ޤȤֹԤȤ褤פΤȤ򤦤ޤĴơɡ
3, 2, 3, 1, 3, 2, 3 ȣܥԤСϺǸˡ٤Ƥοޤ
ºݡ
(3)-3->OK (סʲƱ͡)
(2)-3->(2)-2->OK
(2)-3->(2)-2->(3)-3->OK
(1)-3->(1)-2->(1)-3->(1)-1->OK
(1)-3->(1)-2->(1)-3->(1)-1->(3)-3->OK
(1)-3->(1)-2->(1)-3->(1)-1->(2)-3->(2)-2->OK
(1)-3->(1)-2->(1)-3->(1)-1->(2)-3->(2)-2->(3)-3->OK
Τ줫ηˤʤޤ

פ˾()Ǥ ^^
ͥνȡ 614ڡ 11:07:42 MAIL:uchi@sco.bekkoame.ne.jp 30009
ϲ
ʤۤɡ
614ڡ 11:22:20 30010
⡼ޥ
#30009
uchinyanء
Ĥʤ䤫ʤ¤ Orz
3-2-3-1-2-3 ǤǽǤϤʤǤ礦顦 ^^;

錄Ρ

00 00 00 01 01
11 10 01 01 10
Υѥ󤷤ʤ
Υѥϡ0,1 ñ˰ۤʤȤ̣ǡĤǤ֤Ǥ褤

(1)
00
11
(2)
00
10
(3)
00
01
(4)
01
01
(5)
01
10

(1),(4)-2Υܥ-(5)-3Υܥǣϣ
(2),(3)-1Υܥ-(1),(4)-ʲƱ
-(5)-ʲƱ
(1),(4)-3Υܥ-(1),(4)
(2),(3)-2Υܥ-(2),(3)

(1),(4)-1Υܥ-(2),(3)
(2),(3)-3Υܥ-(2),(3)

Ĥޤꡢǽ3Υܥ򲡤ƥʤ顢(1),(4) (2),(3)
(1),(4) ʤ顢2Υܥ򲡤ơ3Υܥ򲡤
ʤ顢(2),(3) ˤʤäƤϤ顢1Υܥ򲡤ơ2Υܥ򲡤3Υܥ򲡤Хꥢ^^v

ɤְäƤ뤫ʡ^^;
614ڡ 13:11:46 30011
uchinyan
#30011
ȡ㤨С
10
00
ξ硤㤨С
10 -3-> 00 -2-> 11 -3-> 01 -1-> 01
00 -3-> 01 -2-> 01 -3-> 00 -1-> 10
Ȥʤǽ⤢Τǡθ塤
01 -3-> 11 or 00
10 -3-> 11 or 00
OK Ǥ3 ΥܥǤʤ 2 ΥܥԤΤǤϡ㤨С
01 -2-> 10 -3-> 00 or 11
10 -2-> 10 -3-> 11 or 00
ȤʤäƤޤޤʤ礬ФƤƤޤȻפޤ
Ϥꡤ3, 2, 3, 1, 3, 2, 3 Σפ褦˻פޤ
⡼ޥ󤵤Τͤ3, 2, 3, 1, 2, 3 Ǥϡ1 ΥܥθΡ
10 or 01
01 or 10
פˡ⡼ޥ󤵤εˡ (5)βǽȤƤ롤нˡ褦ʵޤ
ͥνȡ 614ڡ 14:32:15 MAIL:uchi@sco.bekkoame.ne.jp 30012
⡼ޥ
#30012
uchinyanء
λ򤷤ޤ
(2),(3)-1Υܥ-(5) ξ礬ȴƤޤ͡Orz
(5)-3Υܥ-(1),(4)-2Υܥ-(5)-3Υܥ󡡤ȤʤФޤǤ
ɡuchinyanΤä̤ꡢ3-2-3-1-3-2-3 Ⱥ7ɬפǤ͡^^;
ͧͤˤǧƤߤޤv
614ڡ 19:42:27 30013

#30008
ϡǤ
οβ˺ܤäƤޤ
ܤϤʤäΤμϤDzϤƸ

#30009
uchinyanβdzμ¤·ͣˡǤ

ζ̤򤷤ʤ硢̤̤äơʴ޴ޤ
μǤ¿Ƥ⣷̤̤ǽФʤ
ʤȤĤ˽Фʤ̤ޤ

֡ʽФʤä̡ˤޤ˰ܤѲפʺǽ̡ˤ˻ܤ
ʤ̡ˤϤ᤿˴ޤˤʤʤޤ޽櫓Ǥ
äƸäƤ̣狼ˤǤ͡ɬפʺ

դˣ̤ꤹ٤ƤФ褦ʼǤʤˤʤޤ
äƣκûǺѤޤ硢Ʊ̤ˤʤ뤳ȤԲĤǤ

Ʊξ礬̤ʥѥˡ
ʳ̤ʥѥ¡ˤǡ
´֤ԤǤΤϼ磱Τߡ
ˣΣ̤ȣ¤Σ̤ϤɤɤؤǤưβǽͭꡣ

˼磱󤢤Ȥȡ
ܤμ磱ľȡܤμ磱ľ̤
ƱˤʤäƤޤǽΤŬ

磱Ȥ
ѥ¤ɤ餫ΣĤܤ⤦Υѥ˰ܤ
ĤΥѥΤۤ⣴ĤȤưʤФʤʤΤ
μǤ뤳Ȥɬܡ

Ʊ¤٤ȸäƤޤβǽΤ
ϣͤ줺ºŬƤΤϣ

ʾ塢ʲǤͣμϣȤʤޤ
615ʶ 0:08:21 HomePage:륯Υ֥30014
⡼ޥ
#30014
륯Orz
8̤̤Τǡ7ɬפäƺ򤬤褯ʬޤ^^v
615ʶ 0:43:09 30015
uchinyan
#30014
ʤۤɡβˡͥƤޤ͡
ɬפʤȡͣʤɡѤٶˤʤޤ
꤬Ȥޤ
ͥνȡ 615ʶ 9:23:13 MAIL:uchi@sco.bekkoame.ne.jp 30016
ޥ
#30001

ȴäơȤäǤ...ߥޥ󡢥ꥫХꤷޤʡ
iMac 615ʶ 10:24:37 MAIL:masaru-y@sansu.org HomePage:30017
⡼ޥ
ͧ ^^

a d ϼǤȤΤ褦ʿͤ롣
0 < d < 2000
aa+da+2da+nd
aa+da+nd ޤǤ (n+1) Ĥ٤ƤǿǤʤ
n <= 10Ǥ뤳Ȥ衣

*Ǥޤ顢򶵤ĺΤǤOrz
ǿɽ򤷤Ф餯įƤ⸫Ĥʤ^^;

ʤ٤ʤޤ#30008 ϡ3231323 7꤬Ǥ
ͧͤϤɤ錄βͤä褦ǡOrz
618ʷ 6:50:46 30018
doba
#30018 ⡼ޥ󤵤

꣱adpǿȤơ
a,a+d,,a+(p-1)dpĤοpܿǤʤʤС
dpܿǤ롣

ꣲadpǿȤơ
a,a+d,,a+(2p-1)d2pĤοǿʤС
dpܿǤ롣

꣱ξ
⤷dpdzڤʤС
a,a+d,,a+(p-1)dpĤοϡpdz;꤬ۤʤΤǡ
ɬpdzڤ¸ߤ뤳Ȥˤʤꡢȿ롣
äơdpܿǤ롣

ꣲξ
⤷dpdzڤʤ
a,a+d,,a+(p-1)dpĤοˤɬpdzڤΤ¸ߤ
a+pd,a+(p+1)d,,a+(2p-1)dpĤοˤɬpdzڤΤ
¸ߤ롣
ʤa,a+d,,a+(2p-1)d2pĤοˤϡ
pdzڤۤʤ룲Ĥο¸ߤ뤳Ȥˤʤꡢ
ʤȤ⤽ΤΤɤ餫ǿǤʤȤˤʤΤǡȿ롣
äơdpܿǤ롣

ƧޤͿ줿̿ʼ̿ޤ
adǡa,a+d,a+2d,,a+11d12ĤǿʤС
d2000Ǥ

ꣲꡢd2,3,5ΤܿǤ⤢롣
äơd30

a+d,a+2d,,a+7dΣĤοϡ30礭ǿʤΤǡ
7Ǥϳڤʤ
äơ꣱ꡢd7ܿǤ롣

a+d,a+2d,,a+11d11Ĥοϡ30礭ǿʤΤǡ
11Ǥϳڤʤ
äơ꣱ꡢd11ܿǤ롣

ʾꡢd2,3,5,7,11θܿȤʤꡢ
d2357112310



ʤߤˡ⡼ޥ󤵤󤬡ֶפȤääƤΤϡ10ȤʤȤȤǤ礦ΤϡޤǤ10ʲǤꤨʤȤǤäơ10Ǥ㤬¸ߤ뤳ȤݾڤƤ櫓ǤϤʤȻפޤ
⤷10Ȥʤ㤬¸ߤȤ顢a=11ǡd210ܿǤ뤳Ȥ餫ʤΤǡξƤξåƸĤʤСΤ褦Ϥʤʤʤ壹ǤˤȤȤˤʤǤ礦
618ʷ 13:21:12 30019
doba
#30018ˤĤ

10Ȥʤ褦¸ߤʤ褦Ǥ͡
᣹ȡ㤨мΤ褦ʤΤޤ

199
210ȤȤ
199,409,619,829,1039,1259,1459,1669,1879,2089
Ϥǿ
618ʷ 13:30:33 30020
uchinyan
#30018 #30020
dobaƱ褦ʤȤ򡢤Ū˸ƤƤޤdobaۤƤޤä褦Ǥ (^^;
n = 9 ζƱΤ򸫤Ĥޤ
(äɲ)
äȡ
199
210ȤȤ
199,409,619,829,1039,1259,1459,1669,1879,2089
1259 -> 1249 δְ㤤Ǥ ^^
(ɲý)
ͥνȡ 618ʷ 14:31:56 MAIL:uchi@sco.bekkoame.ne.jp 30022
⡼ޥ
#30019~#30022
dobauchinyan󡢹ͤƲäƤ꤬ȤޤOrz
ߤʤ󤹤ԥȤȤήФǤ͢
򤱤ʤʤƤʤǡ^^;ޤ

ƱͤȻפޤͧͤβ^^

n>10Ȳꤹ롣
Ĥޤꡢa,a+d,,a+11d 12Ĥ٤ǿǤ롣
ޤa 11礭ǿǤ롣ʤʤ顢a 235711Τ줫ξ硢줾
a+2d,a+3d,a+5d,a+7d,a+11d ǿǤʤʤäƤޤ顣
ΤȤd ϡ2*3*5*7*11=2310 ܿǤʤФʤʤȤ򼨤
a 2ܿǤϤʤ顢⤷ d 2ܿǤʤʤ a+d 2ܿˤʤꡢa+d ǿǤ뤳Ȥȿ롣ä d 2ܿ
ޤa 3ܿǤϤʤ顢3dzäȤ;1ޤ2Ǥ롣⤷ d 3ܿǤʤʤ顢d 3dzäȤ;1ޤ2Ǥꡢ 2d 3dzä;21ˤʤ롣äơa+d a+2d ξʤȤ3ܿˤʤꡢξȤ⤬ǿǤ뤳Ȥȿ롣ä d 3ܿ
ʲƱͤˤơa 5ܿǤʤȤ顢d 5ܿǤ뤳ȡa 7ܿǤʤȤ顢d 7ܿǤ뤳ȡӡa 11ܿǤʤȤ顢d 11ܿǤ뤳ȤƳ롣
äơd 2*3*5*7*11=2310 ܿǤʤФʤʤꡢ0<d<2000 Ǥ뤫顢̷⤹롣̷ n>10 ǤȲꤷȤäơn<=10 Ǥ롣

n=9 ΤȤΤΤĺ꤬ȤޤOrz
n=10 ̵ȤΤȡn 礭ʤФʤۤɥå񤷤ʤꤽǿ٤ϤޤФˤʤ뤫ǽʤϤǤ͡
618ʷ 19:01:04 30023
uchinyan
#30023
ߤʤ󤹤ԥȤȤήФǤ͢
ʤȤϡǿɽˤߤʤ餤ԺƤäȡȤǤ
֤˥ԥȡפʤƤޤ褩
⡼ޥ󤵤󼨤βˡť n = 10 ζõʤ顤
ʴʤȻפäơ񤭹⤦ȻפäƷǼĤ򸫤顤
dobaΥ쥤ʲˡ˺ܤäƤơ֤ʤʤʤפȤΤܲ
Ǥ⡤ʪǡn = 9 ξ򸫤Ĥޤ (^^;
ͥνȡ 620ʿ 11:42:06 MAIL:uchi@sco.bekkoame.ne.jp 30024
⡼ޥ
ͧ䡦Ϣ³ƤǤߤޤ0rz
錄ᤤΤǡ֤㤦顢꤬Ƥޤ^^;
ϲ򸫤Ƥ褯ʬʤäơĺйǤOrz

nγƷο¤S(n)ɽ
(1) n+S(n)=1980ߤn¸ߤ뤫
(2) 2ĤϢ³뼫ΤʤȤϡ뼫nˤn+S(n)η˽񤱤뤳Ȥ衣
620ʿ 13:46:08 30025

줧ʤ󤫥ԥʤɡ
̤äȤȤäƤ褦
620ʿ 13:59:36 30026
uchinyan
#30025
ʲ桥(^^;
(1)
mod 9 ǹͤ n S(n) ǡ1980 9 ܿʤΤǡn 0 Ǥ
ǡn Ȥơ1980 - 9 = 1971, 1980 - 18 = 1962 Ĵ٤Ƥȡ1962 Ǥޤޤ
Ĥޤꡤ1962 + S(1962) = 1980 ¸ߤޤ
(2)
äľŪǤ
n = 1, 2, ..., 9 Ф n + S(n) = 2, 4, ..., 18 Ȥʤꡤ2 Ƥޤ
ϡ٤礦ĤμˤʤäƤΤǡդޤ
n ȷ夬꤬ꡤn = 10 ˤʤäơ10 + S(10) = 11 ȸޤ
ϡۤɤ 2 18 äƤޤ
ơn = 11, 12, ..., 19 Ǥ n + S(n) = 13, 15, ..., 29 ȤʤꡤƤ 2 Ƥޤ
ǡ10 + S(10) = 11 2 18 äƤ뤳Ȥ顤ޤϢ³Ƥդޤ
Τ褦ˡ夬 9 Ǥʤˤϡn -> n+1 Ȥȡ夬꤬ʤΤ S(n+1) = S(n) + 1
n + S(n) -> (n+1) + S(n+1) = (n + S(n)) + 2 Ȥʤä 2 ޤ
夬 9 ξˤϷ夬꤬Τ n + S(n) ޤ
ϡ夫̷˸ä 9 ³˰¸ޤ
n = abc9kġ9k >= 1c 9 ǤʤȤȡn+1 ab(c+1)0kġ0 ȤʤΤǡ
n + S(n) = abc9kġ9 + (a + b + ... + c + 9k)
(n+1) + S(n+1) = ab(c+1)0kġ0 + (a + b + ... + c + 1)
ǡn -> n+1 2 - 9k Ѳ9k - 2 ޤ
餫ˡ
2 < ab(c+1)0kġ0 + (a + b + ... + c + 1) < abc9kġ9 + (a + b + ... + c + 9k)
Ĥޤꡤ
2 < (n+1) + S(n+1) < n + S(n)
ʤΤǡޤ 2 Ƥΰꡤ 2 ƤΤǡ
Ϣ³٤礦ξʤȤϡ n + S(n) η˽񤱤뤳Ȥˤʤޤ
ºݤˤϡn:(n+S(n)) Ȥơ
1:2, 2:4, 3:6, 4:8, 5:10, 6:12, 8:16, 9:18,
10:11, 11:13, 12:15, 13:17, 14:19, 15:21, 16:23, 17:25, 18:27, 19:29
20:22, 21:24, 22:26, 23:28, 24:30, 25:32, 26:34, 27:36, 28:38, 29:40
...
90:99, 91:101, 92:103, 93:105, 94:107, 95:109, 96:111, 97:113, 98:115, 99:117
100:101, 101:103, 102:105, 103:107, 104:109, 105:111, 106:113, 107:115, 108:117, 109:119
110:112, 111:114, 112:116, 113:118, 114:120, 115:122, 116:124, 117:126, 118:128, 119:130
...
ȤʤäƤޤ
ͥνȡ 620ʿ 16:20:45 MAIL:uchi@sco.bekkoame.ne.jp 30027
⡼ޥ
#30027
uchinyanOrz
ʤۤɡmod 9 Ǥ͢

(1) ͧͤβϡ

¸ߤ롣1962+S(1962)=1980

ȤäǤõʤΤǤ^^;

錄ϡ

1899+27=1926<1980
19ab Ǥ롣
1+9+a+b+19ab=1980
1970=19ab+a+b
70-10a-b=a+b
11a+2b=70
11a=70-2*9=52
Ĥޤꡢa ϣ
a=6,b=2 Ω
1962+1+9+6+2=1980
n=1962

Ȥޤäơmod 9 ǹͤƤ뤳ȤƱǤ͡^^v

(2) ϡƱͤ mod 9 Ǽ˹ͤƹԤФǤ礦uchinyanΤ褦ˤʤä^^;

錄λԺ

218ޤǤϡn=1~9 Ω
19=14+1+4
21ʾϡʲ˽
ab ΤȤab+a+b ʤΤǡ
bλϡa
ΤȤ
19>=a+2b>10 ΤȤϡc d οβϡ1,3,5,7,9
οcd ϡc d
27>=a+2b>=21 ΤȤϡβϡ1,3,5,7
c,d ϴ⡢(a,b)=(3,9),(5,9),(7,7),(7,9),(9,7),(9,9)
(c,d)=(5,1),(7,3),(9,1),(9,5),(11,3),(11,7)
b ΤȤϡa
19>=a+2b>=10 ΤȤϡc dοβ1ϡ0,2,4,6,8
οcd ϡcd
26>=a+2b>=20ΤȤϡβϡ0,2,4,6
c,d ϡ⡢(a,b)=(4,8),(6,8),(8,6),(8,8)
(c,d)=(6,0),(8,2),(10,0),(10,4)

ȤС99ΤϤʤ98 ϡa=8,8+2b=18,b=5
ºݤˡ85+8+5=98
100ϡa=8,8+2b=20,b=6
ºݤˡ86+8+6=100
Ϣ³ϡΤ줫ΤǤɤ餫Ω롣
ʤΤϡ
1357 ΤȤϡ57-4=53ǹͤƤϤޤʤΤǡ
1358 ΤȤ58-4=54ʤ顢a=4,4+2b=14,b=5
1345+1+3+4+5=1358
1356 ΤȤϡ56-4=52 ʤ顢a=4,4+2b=12,b=4
1344+1+3+4+4=1356
1350 ΤȤ50-4=46ǹͤƤϤޤʤΤǡ
1351 ΤȤϡ51-4=47 ǡa=3,3+2b=17,b=7
1337+1+3+3+7=1351
1349 ʤ顢49-4=45ǡa=3,3+2b=15,b=6
1336+1+3+3+6=1349

1980ϡ80-10=70ǡa=6,6+2b=10,b=2
1962+1+9+6+2=1980

Ǥ ^^;
̤ˤϤɤΤäǺǤޤ

ˤ뤫ɤԳʤΤ ^^; ͧͤβˡܤޤ͡v

ʣf(n) = n + S(n) Ȥn οʣΰ̤οˤ 9ǤʤС f(n+1) = f(n) + 2 Ǥꡢn ο9ʤСf(n+1) < f(n) Ǥ롣
f(1) = 2 ǡf(n) > n 顢Ǥդ2ʾμ m ֤Ȥf(n) m μ n ¸ߤ롣 m < f(n+1) ǡf(n+1) f(n) + 2 顢f(n) m ʤСf(n) = m+1 Ȥʤ롣

ޤԥȤƤʤ錄Ǥ^^;
620ʿ 23:04:46 30028