Taro
1/3Ĵ٤3ܤФȹͤΤΡ3ܤ˺졢1̤η׻ߥ
äꡢ45orz
124ڡ 0:06:33 33385

®Ǽޤ񤤤Ĵ٤ޤζ֤ʬ
ξμޤ128(2^7)Ÿ졢ܤˣΤޤ
ºݤˤǣοϣζ֤ξοݤζ֤ǤΣο
ޤޤΤǡ
Ȥʤꡢʣݣˡߣᣲ
ޡ 124ڡ 0:10:45 33386
sodo
3˺줷Ƥޤޤ
֤Υ٥뤬㤤ޤ
βĮ 124ڡ 0:10:49 33387

#33386
Ȥ񤤤Ƥޤ󿧤¡äȤǤޤ
ޡ 124ڡ 0:12:00 33388
㡼ߡ
4,2,2 4,3,1 3,3,2 3 ѥʬĴ٤ 3,3,2
𤷤̵̤˻֤äƤޤޤ
ɤߤĤ֤äΤǤġ
Ȥ礦Ȥ䤯 124ڡ 0:14:01 MAIL:kakuromaster@star.cims.jp 33389
ߡ
Ǥ͡Σ2/3(ʤΤ¿)Σܡ
줬̤Ǥ礦
줬狼äƤƤƳƲ򤤤Ƥߤ

֤Ȥ롣
֤򣴲ȤȤ֤λȤ̤ꡤ¾14̤14̤ꡣ
֤򣳲ȤȤ֤λȤ̤ꡤ¾̤48̤ꡣ
֤򣲲ȤȤ֤λȤ̤ꡤ¾̤20̤ꡣ
֤򣱲ȤȤ֤λȤ̤ꡤ¾̤ǣ̤ꡣ
Ĥޤꡤ252̤Ǥ

ɽǤȡ258ˤʤޤϣξΣ̤꤬äƤޤ͡
ĤۤȤˤ⤦

124ڡ 0:14:23 33390
mhayashi
󿧤ȤʤΤ⥢ꡩ
KANSAI 124ڡ 0:15:58 HomePage:M.Hayashi's Web Site33391
KENTA
nĤꡤm+1٤礦ϰۤʤ뿧ɤʬˡA(n)Ȥȡ
A(n)=m^n+m(-1)^n ȤʤΤǡϡn=8m=2ξǡ
A(8)=2^8+2=258Ȥʤޤ
124ڡ 0:16:06 33392
2709
⤸ʤƻʤΤ
252̤ꤸʤΤǤ
124ڡ 0:16:58 33393
sugitakukun
ȡ

Ȥꤢ1Ŭˤɤ줫ɤäơʿAȤޤˡ21ʳ2̤ꡢ32ʳ2̤ĤѤФƹԤޤ
7Aˤʤ뤫㤦ˤʤ뤫8ɤѤäƤΤǡͤʤФޤ
ǡ
2ޤɤäơǸ夬Aˤʤ
3ޤɤäơǸ夬Aˤʤ

ȹͤƹԤޤ

2ޤɤäơǸ夬AˤʤפϤʤΤǡ2̤0̤ꡣ
3ޤɤäơǸ夬Aˤʤפϡ2AǤʤˤ줾1̤ꤺAɤ礬ȯ뤳Ȥ顢˴ޤޤʤ2̤ꡣ
äơ4̤2̤Ȥʤޤ
4ޤɤäơǸ夬Aˤʤפ⡢Ʊͤ3AǤʤ1̤ˤĤ1̤ȯΤǡ2̤ꡣ
ä8̤2̤Ȥʤޤ

ʲƱͤĴ٤
5ޤǡ16̤6̤
6ޤǡ32̤10̤
7ޤǡ64̤22̤
Ȥʤޤ

ȤϡǸ夬Aˤʤä22̤ˤĤ8ɤ2̤ꤺġAˤʤʤä42̤ˤĤ1̤ꤺĤʤΤ222+42=86̤Ȥʤޤ

Ǹ1οɤ줫֤3ܤ
863=258̤ġʲ

ĤʤΤǤΤ2ˤʤ礬ޤޤƤΤǡϤɤǤ礦͡ʴ
3Ȥäɤʬפʤ顢2ˤʤʤʤФʤʤΤ32=6̤12ɤ뿧ФȤϼưdzˤ252̤ȤĽФƤޤ͡Ϥꡣ

ξޤơ
KKS衡 124ڡ 0:19:44 MAIL:sugitakuunikun@msn.com HomePage:White Shadow33394
ߡ
sugitakukun

Ҥ֤ꡰ
ơϡĤäѤꡢޤǤͤ()
124ڡ 0:22:40 33395

Сޤǽ񤤤ݤΡʣݣˡߣᣲ
ΣϣܤǽƱΤ߰Ƥ뤫顢
¼£££¤ȣãããäϰƤʤΣѥߣ
ȣˤʤ褦ʵƤ

ɬȤΤʤ飲̤
ϣˤʤ飲Τ褦ʵ
ޡ 124ڡ 0:23:48 33396
ޥ
ࡢ֣ȤäơפȤΤϡʻǤϡˡֺǣȤäơפΤĤǤ...orz бˤĤƤϤäȹͤޤߥޥ
iMac 124ڡ 0:25:14 MAIL:masaru-y@sansu.org HomePage:֥Τۤ33397
Ѥ
X_n+2= X_n+1 + 2_Xnޤ
ΰ˴ƤʤȤ˴

Ĥ˻ˤʤޤޤ˴ʤäƤΤǾĴƤޤ
ⵤդƤ
֡ 124ڡ 0:30:48 HomePage:33398
ڤפɡ
ο϶Ǥ͡
ޤ񤤤Ƶ§򸫤ĤեܥʥåŪ˹ͤޤ
A---¤٤ȹͤȤ饹ȤAˤʤäƤϥᡣ
ͤȡĤ¤٤A-BA-CΤߤ顢OKġϣġ
¤٤ϡA-B-AA-B-CA-C-BA-C-AλͤĤʤΤǡOKĤǥ᤬ġ
ĤޤꡢOKOKĤȥ᤬ޤơᤫOKޤ롣
ɽˤȡ

Ŀ2 3 4 5 6 7 8
OK2 2 6 10 22 42 86
ᡡ0 2 2 6 10 22 42

ȤʤΤǡ863=258Ȥޤ
ͥԥ 124ڡ 0:32:09 33399
ʸ
̤Ĵ٤ޤ

äΤ
124ڡ 0:35:04 33400
sugitakukun
䤢ߡ

פ֤Ǥ
ȤϤäƤ⡢ϤäȸƤޤ^^;
ʬˤäƽ񤭹ߤ뤷ʤѤΤǡʬפ֤ʽ񤭹ߤˤʤޤǤ^^;

ޥ뤵бԤǤ͡
ξˤΤȤNo ContestˤʤΤ
ޤäԤޤ
KKS衡 124ڡ 0:50:25 MAIL:sugitakuunikun@msn.com HomePage:White Shadow33401
abc
٤ƤȤΤȤƹͤƤޤξΤǤ͡
124ڡ 0:55:43 33402
ޥ
äȽѤޤбƤޤޤߥޥ

Ǥ꽤ޤǤδ֤ϡξפȤȤбƤȻפޤɤǤäˤ衢ƴDz򤱤ͤǤϤʤȻפޤ..

ȤꤢϽɽνޤ
iMac 124ڡ 0:56:35 MAIL:masaru-y@sansu.org HomePage:֥Τۤ33403
㡼ߡ
Τϡ n ޥΤȤ X_n ̤Ȥȡ
n+1 ޥΤȤֺǽȺǸ夬ƱǤ褤פʤ 32^n ̤ꡥ
ֺǽȺǸ夬ƱפΤΤϡ 2 ޥ򤯤äĤ뤳Ȥ
n ޥξбĤ X_n ̤ꡥ
äơX_n+1 = 32^n - X_n Ȥޤ

򸫤Ȥ3 ٤ƤʤΤɤƤʤ
Ȥꤢξ뤫ʡȻפäΤǤ
ˤĤޤƤޤޤ orzԡ
Ȥ礦Ȥ䤯 124ڡ 1:05:30 MAIL:kakuromaster@star.cims.jp 33404
ߤ
ȤꤢĤεʣ¡áˤľƱ³ʤ褦¤٤뤳ȤͤܤϣȤ롣

ʸܢ£ã
ʸܢ£ãʸܤ¤̤ꡢä̤ȤȤ򼨤
ʸܤ
ʤΤϡʸܤ¤ää
¤ʤΤϡʸܤää
äʤΤϡʸܤ¤äȤ褦˽֤˷׻ȡ
ʸܢ£ã
ʸܢ£ã
ʸܢ£ã
ʸܢ£ã
ʸܢ£ã
ʸܢ£ã
ޤǽ֤˷׻ƤʸܤȣʸܤƱΤϱ߷ɤʬ뤳Ǥϥᡣ
äơߣ᣸̤ꡣ
Ϻǽ餬λʤΤǡ¤ȣäλͤ
ߣᣲ̤ꡢ

äݤ򤯤ȤǤϡʤorʤǾ夬äƤο
˻Ƥޤ͡
124ڡ 1:19:33 33405
Ȥ
ʸοޤΥե٥åȤ˿˿1,3,4
򿶤٤礦Τ­2,6,8
­4,5,7٤礦Τ㤦Τ򤹤٤󤷤
ʲΥץ

FOR a=1 TO 4
if a=2 then goto 80
FOR b=1 TO 4
if a+b=2 or a+b=6 or a+b=8 or b=2 then goto 70
FOR c=1 TO 4
if b+c=2 or b+c=6 or b+c=8 or c=2 then goto 60
FOR d=1 TO 4
if c+d=2 or c+d=6 or c+d=8 or d=2 then goto 50
FOR e=1 TO 4
if d+e=2 or d+e=6 or d+e=8 or e=2 then goto 40
FOR f=1 TO 4
if e+f=2 or e+f=6 or e+f=8 or f=2 then goto 30
FOR g=1 TO 4
if f+g=2 or f+g=6 or f+g=8 or g=2 then goto 20
FOR h=1 TO 4
if g+h=2 or g+h=6 or g+h=8 or h+a=2 or h+a=6 or h+a=8 or h=2 then goto 10
print a;b;c;d;e;f;g;h
10 NEXT h
20 NEXT g
30 NEXT f
40 NEXT e
50 NEXT d
60 NEXT c
70 NEXT b
80 NEXT a
end
˭ԡ 124ڡ 5:38:12 MAIL:fttnm528@ybb.ne.jp 33406
shane
8ʬΤȤ򭨤Ȥ롣
Ǹνʣ̵뤹32222222384
Ǹ2Ĥ֤äȤϭȤߤʤ뤫
=32222222-
Ʊͤ
=3222222-
=322222-
=32222-
=3222-
=322-

6
258
124ڡ 7:31:17 33407
CRYING DOLPHIN
ʲDz򤯿ͤϤۤܤʤȤϻפΤǤ
ֺǣפȽ񤤤Ƥޤȡ㤢Ѱդ줿ϣʾʤ
äƥĥåߤ褽ʡġ
ï⤤ʤԳϡ 124ڡ 8:05:01 HomePage:ȤƻȤ33408
abcba@jugglermoka
#33408
⣴ʾȤäƤΤɤǹͤǤޤꤷΤϣơޤˤʤΤ.......
124ڡ 9:28:05 33409
Mr.ǥ
1ΰοȤơ˿ƤȤΰ褬Ǥο[n],
Ǥʤο[n]Ȥޤ
ȡ[n+1][n][n+1]2[n]ܣ[n] ǣ[2]0,[2]2
A[3]=2 ,A[4]=2 ,A[5]=6 ,A[6]=10 ,A[7]=22 ,A[8]=42
B[3]=2 ,B[4]=6 ,B[5]=10 ,B[6]=22 ,B[7]=42 ,B[8]=86
3̤ꤢ뤫顢ϡ3B[8]3*86258ȤťˡǤ

ʷɤϡB[n+1]2^nB[n]Ȥޤ8ΰ褰餤ʤ鼡׻Ƥ⡢
ޤѤʤ褦Ǥ͡

㡼ߡ,shane󤬽񤫤Ƥ(#33404,#33407)βˡǤǤ͡
124ڡ 9:56:33 33410
uchinyan
Ϥˤϡơϡ
츫ơΰ 1 ΰ 7 ۤʤ뿧Ʊΰ 8 ɤѤäƤΤʬޤ
ǡ֤äݤʡפȤȤǡʴˤʤޤ

ΰ褬 2 Ĥξ硧餫ˡ3 * 2 = 6 ̤ꡣ
ΰ褬 3 Ĥξ硧餫ˡ3 * 2 * 1 = 6 ̤ꡣ
ΰ褬 4 Ĥξ硧
ΰ 1 ΰ 3 ۤʤ뿧ξΰ 1 ΰ 3 ɤϡΰ褬 3 ĤξɤƱǡ6 ̤ꡣ
ΰ 1 ΰ 3 Ʊξΰ 1 ΰ 3 ɤϡΰ褬 2 ĤξɤƱǡ6 ̤ꡣ
(ΰ 1 ΰ 3 Ȥ򤯤äĤƤޤϡΰ褬 2 Ĥǰۤʤ뿧ɤʬˤʤޤ)
ơΰ 4 ɤɤϡΰ 1 ΰ 3 ۤʤ뿧ξ 1 ̤ꡤΰ 1 ΰ 3 Ʊξ 2 ̤ꡣ
ǡ6 + 6 * 2 = 6 + 12 = 18 ̤ꡣ
ΰ褬 5 Ĥξ硧
ΰ 1 ΰ 4 ۤʤ뿧ξΰ 1 ΰ 4 ɤϡΰ褬 4 ĤξɤƱǡ18 ̤ꡣ
ΰ 1 ΰ 4 Ʊξΰ 1 ΰ 4 ɤϡΰ褬 3 ĤξɤƱǡ6 ̤ꡣ
ơΰ 5 ɤɤϡΰ 1 ΰ 4 ۤʤ뿧ξ 1 ̤ꡤΰ 1 ΰ 4 Ʊξ 2 ̤ꡣ
ǡ18 + 6 * 2 = 18 + 12 = 30 ̤ꡣ
ʲƱͤǡ
ΰ褬 6 Ĥξ硧30 + 18 * 2 = 30 + 36 = 66 ̤ꡣ
ΰ褬 7 Ĥξ硧66 + 30 * 2 = 66 + 60 = 126 ̤ꡣ
ΰ褬 8 Ĥξ硧126 + 66 * 2 = 126 + 132 = 258 ̤ꡣ
ǡϡ258 ̤ ˤʤޤ
ˤ 2 ɤʬ(6 ̤)ޤޤƤΤդǤ͡

ʤؤˤʤޤ񤤤Ƥȡ
ΰ 1 ΰ n ۤʤ뿧ξ a(n) ̤ꡤΰ 1 ΰ n Ʊξ b(n) ̤Ȥơ
a(1) = 0, b(1) = 3
a(n+1) = a(n) + 2 * b(n)
b(n+1) = a(n)
򤯤ȡ
a(n) = 2^n + 2 * (-1)^n
Ȥʤ褦Ǥ
a(8) = 2^8 + 2 * (-1)^8 = 256 + 2 = 258 ˤʤޤ
ͥνȡ 124ڡ 11:47:02 MAIL:uchi@sco.bekkoame.ne.jp 33411
uchinyan
ǼĤɤߤޤ
ɤǵˤʤäƤޤ͡(#33390ʤ)Ȥȡ
ɤϡɤɤäݤΤʬब񤷤Ǥ

#33386#33394#33399
Ǹΰ褬ΰ 1 ƱˤʤȴƤˡ
#33386
䣱Ȥʤꡢʣݣˡߣᣲ
ƱˤʤΤϡΰο䤷Ƥȡ1, 0, 2, 2, 6, 10, 22, 42, ... Ǥ͡
(#33394#33399)

#33389#33392#33398#33404#33405#33407#33410#33411
⤷ϡäݤ򤯲ˡ
#33392
nĤꡤm+1٤礦ϰۤʤ뿧ɤʬˡA(n)Ȥȡ
A(n)=m^n+m(-1)^n ȤʤΤǡϡn=8m=2ξǡ
#33411ǡ
a(1) = 0, b(1) = m+1
a(n+1) = (m-1) * a(n) + m * b(n)
b(n+1) = a(n)
ȤФǤ򤯤ȡΤˡa(n) = m^n + m * (-1)^n Ȥʤޤ
#33398
X_n+2= X_n+1 + 2_Xnޤ
ϡ#33411ǡ
a(n+1) = a(n) + 2 * b(n)
b(n+1) = a(n)

a(n+2) = a(n+1) + 2 * b(n+1) = a(n+1) + 2 * a(n)
Ǥ͡
#33404
äơX_n+1 = 32^n - X_n Ȥޤ
ƤȤǤۤɤΡ
a(n+2) = a(n+1) + 2 * a(n)

a(n+2) + a(n+1) = 2 * (a(n+1) + a(n)) = ... = 2^n * (a(2) + a(1))
a(1) = 0, a(2) = a(1) + 2 * b(1) = 0 + 2 * 3 = 3 * 2 ʤΤǡ
a(n+2) + a(n+1) = 3 * 2^(n+1)
a(n+1) + a(n) = 3 * 2^n
ȤƳޤ
#33405#33407
ϡäݤ󥸤Ƥ褦ǡǤ͡
#33410
#33411ȹͤƱǤ
A[n] <-> b(n)/3, B[n] <-> a(n)/3
ȤʤäƤ褦Ǥ
ʷɤϡB[n+1]2^nB[n]Ȥޤ
ϡ#33404 X_n+1 = 32^n - X_n ȼ¼ƱǤ

#33400
̤Ĵ٤ޤ
̡פäƲ

#33406
ץࡣ

#33408#33409
ֺǣפȽ񤤤Ƥޤȡ㤢Ѱդ줿ϣʾʤ
äƥĥåߤ褽ʡġ
ʤۤɡФʤ֣ʲס
ͥνȡ 124ڡ 12:46:43 MAIL:uchi@sco.bekkoame.ne.jp 33412
ޥ
ʸηǤϤǤ򤪤ޤm(__)m

ˤǤ򤪤ƤޤäʤΤǤ12/5ˤθ10:00λ̤ǡsansu.orgΥؤȤ»ܤޤؤȻϡ줪¾sansu.orgϥȤؤΥǽȤʤޤȤϤ餯ͼޤǤˤϽλȻפޤäƤߤʤȤʤȤʤȤǤ

ʾ塢Τۤɤꤤޤ
PowerBook 124ڡ 14:19:23 MAIL:masaru-y@sansu.org HomePage:Men @ Work33413
ʤ
ޤDz򤭤ޤ
ΥƥȤʤɤˤ
֤ȤʤäƤ褤Ȥפ
ɬȤΤȤ
ʤɤɽޤ͡
줬ʤϲ᤬ʬΤǡ
ξȤб٥ȤȻפޤ

ȤǡطʤäǶ̤Ǥ
ɴΰ̤ڤ夲פȡ
ɤäǤ
Ĵ٤Ƥ⸫ĤʤΤ
äȤηäߤƤ
124ڡ 15:13:33 33414
X
ꡢΤ濴ˤơθ˰꾮Ʊߤɤʤä㤦Τʤȹͤޤ
124ڡ 17:48:38 33415
ߤ
#33408CRYING DOLPHIN
֣ʾѰդƤ󤫤פȤĥåߤʤ褦ˡ̤
֡ġΣɤʬפȤ꤬Ǥϡ

#33414ˤʤꤵ
Ƥ뤫Τˤ뤿ˡ֣ƤȤäơפȤֻȤʤ
äƤ褤פȤäɬפȻפޤषֺǣפȤ
ϻǤϸޤ͡

䣸ɴΰ̤ڤ夲
üڤ夲ƣñ̤ˤפȤȤƱʤΤǡǤϡ

124ڡ 18:35:59 33416

ޤǤȤޤ
Ѥ뿧A,B,CȤ롣
ɤ뿧AȤŬ褦˼ޤ롣
ɤ뿧ˤĤܤȡA̤ꡢB̤ꡢC̤ꡣ
ɤ뤳Ȥͤȡɤ뿧ϣξƱͤ˹ͤ뤳ȤǤA̤ꡢB̤ꡢC̤ꡣ
ʣˡA,AˤΤȤ
ɤ뿧B,CΣ̤ꣲߣߣ̤ꡣ

ΤۤξƱͤ˵Фޤ
124ڡ 20:05:41 33417

ΰ̣ªΤ񤷤äǤ

3äƤȡ3ޤ2ޤ1äƤȤǤ
2ξϡ£¡ġĤޤϣ££ġĤ2̤ȹͤΤ̤ǤϤʤǤ礦

ȡ̤꤬ˤʤΤǤ
ܿĻԡ 125ʶ 17:53:41 HomePage:33418
ϥ饮㡼ƥ
٤ʤޤ뤫ܺˤƤ
ߤɥ饤֤ޤȤǤ

125ʶ 14:30:24 HomePage:湩ؤ˥33419
Ȥ
#33419 ϥ饮㡼ƥϻпȤʤǤ
ߤɥ饤֤ʤƵɤǤ͡
125ʶ 15:30:11 33420

ޤǤ
󤹤١ȭξ¦񤤤ơȭĤʤˡǤޤ

A,B,Cɤ뤳ȤˤơA,BȤȡޤˤʤޤ


¡ á
á
¡á¡ á



¡á
á¡¡á

AΤȤϡBC顢2510̤
BΤȤϡAC顢3618̤
CΤȤϡAB顢3515̤ ǡ 10181543̤

ȭɤϡA,B A,C B,A B,C C,A C,B 6̤ꤢ뤫顢
436258̤

125ʶ 18:31:22 33421
ϺĹܲ
A4ѻ1/4餤ޤäƤޤޤ
󤫰ȯ򤬤ǤHAPPYǤ
ǯȾʬ򤱤ʤäΤˡ
ͤϤդΤʡ
125ʶ 20:43:24 33422

ǯƱ٤Τ٤ƥȥ饤
ǯ٤Ϥ

ǽϤͤ
ǽο3̤ꡢ2̤ꡢμ2̤ꡢȤȤǡ
3222
ȤФ󡢤ȡ
ˤ1Ŭʤʪ롣
ǽȺǸ夬ƱʪޤޤƤΤʣȣƱȤȡ
ȤȤǡñ׻򤷤ȤȿʬƤʪ(ʡˤȡΤ褦ͣŬʤʪ()äƤޤ
褯Ƥߤȡʤϱߤʬ򣱤ľʤʤƱʪǤ뤳Ȥ狼롣
ȤȤǡߤʬˤ뤽줾θĿĴ٤Ƥߤȡ

ߤʬˤñ׻ʤοʤο
36
424618
5481830
6963066
719266126
8384126258

ȤȤǡĿ258̤ꡪ
0εäƤޤĥäƤޤ礦
125ʶ 21:10:21 33423

Ĥʤ黻Dz򤳤ȻߤƤޤͤˤäΤǿؤǡ

P=(a_ij)(1i.j3)
a_ij=1 if i=j
a_ij=0 otherwise
Ȥn(3)ʬξ硢P^(n-1)гʬʳ¤ˤʤäƤޤ
׻򤹤2^n+2(-1)^n̤Ȥʤޤ
ʷ׻˴ؤƤPθͭͤ2,-1ȤʤPоιǤȤФäȤϤ
Pݤ٤ΰ̤οɤабƤȤäƤޤ

ǥ쥬Ȥ˲򤯻ϽʤΤʤ
126ڡ 4:36:36 33424
λȼ
ޤޤ٤Фʤġ
Ѥ餺ޤạ̣̇̄ȡġ
񤭹ߤ򸫤ơʲΤʤȤĤŤƤޤ
򤵤򡢳ߤ뤳Ȥơ򤷤
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zerostar 127 19:03:32 33426
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