Ĺ
2005 1020 ȡ(1, 1) ˤʤʤǤ͡
ǰ
Ϥޤޤġ 1020ڡ 0:07:00 HomePage:åȬ25986

դ˹ͤ(2005,1019)(2005-1019,1019)ߤʡ

Ѥܤɬ٤ҤƤޤޤɤƤ
̤̪ 1020ڡ 0:07:49 MAIL:ishizaki@qa.so-net.ne.jp 25987
ڼ
桼åɤθ߽ˡǤ
͡ 1020ڡ 0:08:34 MAIL:iida@ae.keio.ac.jp 25988
Ĺ
礭龮
դɤޤ衣
Ϥޤޤġ 1020ڡ 0:08:57 HomePage:åȬ25989
Taro
ǤϤʤEXCELǵդǤäƤߤޤ
椤Ĥά龯ڤǤ
1020ڡ 0:10:21 MAIL:tarox@nifty.com 25990
ȥȥ
ޤäĤƤ
ʼ˸лԡ 1020ڡ 0:10:31 MAIL:h-sakai@zb3.so-net.ne.jp 25991
Ĺ
Excel Ǥ
If ʸ񤤤ơäȥԡ
ܤǣˤʤäΤǡ
Ϥޤޤġ 1020ڡ 0:13:16 HomePage:åȬ25992
ΤӤ
٤˷׻󤵤ȤޤܡäȤޤ͡
1020ڡ 0:18:00 25993

ջФ褫äOTL
ƽ 1020ڡ 0:18:03 HomePage:θ줳ߤ󡪡25994
ߤ
ʸߤΣοߤΣ¤οˡʣء١ˤ֤Ȥ
øϣʬȡʣءءܣ١ˤȤʤꡢ¤ʬȡʣءܣ١ءˤȤʤ롣
羮ط餫ʤΤǡƻ˵դɤꡣ
1020ڡ 0:25:15 25995
ShinKoba
եܥʥåˤʤΤʡʤƻפǤΤǤäΤǤ͡ˤƤ⡢ߤʡ¤ᤤ
1020ڡ 0:27:00 25996
ȥȥ
Τ꤬ݤ˻ĤäƤޤ
Τ˦¤ȣԤʬǤ
ʼ˸лԡ 1020ڡ 0:32:38 MAIL:h-sakai@zb3.so-net.ne.jp 25997
ShinKoba
äȤäȤȴʤĤʤΤǤ(1,1)(1,2)(1,3)(1,4)(5,4)(5,9)(14,9)(23,9)(23,32)(23,55)(78,55)(133,55)(133,188)(133,321)(133,454)(133,587)(133,720)(133,853)(133,986)(1019,986)(1019,2005)20øäơɤְäƤΤ狼ʤΤǤߤޤ󡢤ɤʤƤ
1020ڡ 0:44:26 25998
nakakun
(133,986)(1119,986)Ǥ͡
ܡ 1020ڡ 0:48:05 25999
ShinKoba
꤬ȤޤȤ⡢ߤäȤʤ¤ǡߤޤ󡣤ľƤ뤦ˡ䡩ȻפäΤǤäꤷޤ
1020ڡ 0:50:57 26000
㡼ߡ
2004ǯJJMOˤ꤬ޤ͡Ȼפޤ
ܹ衡 1020ڡ 0:51:49 MAIL:ojamaru@amber.plala.or.jp 26001
URARU
Ȥꤢ(1,1)ǤϤʤ(2005,1019)ɤɤ󸺤餷Ƥ褦ˤʳβˡäƤޤ줫Ƥʡ
1020ڡ 2:36:43 26002
⡼ޥ
˸߽ˡ
2005/1019=1986
1019/986=133
986/33=2929
33/29=14
29/4=71
4/1=4
1+1+29+1+7+4=43
Ǥ⡢42ʤ
1020ڡ 8:29:35 MAIL:kennji72001@yahoo.co.jp 26003
uchinyan
ϤϤ褦ޤ
ǽ鸫ȤϡݤʤȻפäΤΡˤɤ뤿ɤϰդ˷ޤäƤޤΤǡñǤ ^^;
(2005,1019) -1-> (986,1019) -1-> (986,33) -29-> (29,33) -1-> (29,4) -7-> (1,4) -3-> (1,1)
1 + 1 + 29 + 1 + 7 + 3 = 42 øǤ
ϷɡƤΤƱʤΤǡ桼åɤθ߽ˡǤ͡
Ǹ (1,1) Ǥäơ(1,0) ǤϤʤΤǡ󡢲Ͼʤʤޤ
ͥνȡ 1020ڡ 8:51:10 MAIL:uchi@sco.bekkoame.ne.jp 26004
kasama
Ϥ褦ޤ(*^_^*)

public class Question473 {
public static void main(String[] args) {
segment(0, 1, 1);
}
private static final void segment(int n, int red, int blue) {
if (red > 2005 || blue > 1019) return;
if (red == 2005 && blue == 1019) {
System.out.println(n);
return;
}
segment(n+1, red, blue+red);
segment(n+1, red+blue, red);
}
}
1020ڡ 9:21:28 26005
uchinyan
ޤ긭ˡǤϤޤ󤬡ľˡֿʪڤĿʪɤĤ礫ʬơ
ֿ 2005 ɤĿ 1019 ɤˤʤΤåץȤǤߤޤ
򸫤顢kasamaȥ르ꥺƱǤ ^^;

REM ˥473
REM ֿʪο r ɤ
REM Ŀʪο b ɤ

SUB check(r,b,t)
IF (r <= 2005) AND (b <= 2005) THEN
LET c = c + 1
IF (r = 2005) AND (b = 1019) THEN
PRINT "ֿ2005ɤĿ1019ɤξ硧";t;"ø"
END IF
CALL check(r+b,b,t+1)
CALL check(r,r+b,t+1)
END IF
END SUB

LET c = -1
CALL check(1,1,0)
PRINT "ξʪ 2005 ɤʲʬѥ";c;"̤"
END

̤ϡ
ֿ2005ɤĿ1019ɤξ硧 42 ø
ξʪ 2005 ɤʲʬѥ 2445610 ̤
Ǥ
ǽ餫鿿ܤĴ٤ȡ2445610 ̤ꡢξĴ٤뤳ȤˤʤꡢѤǤ(^^;
ͥνȡ 1020ڡ 11:16:39 MAIL:uchi@sco.bekkoame.ne.jp 26006
Ѥ
եܥʥåɬˤäƤޤ
դͤڤʤȻפä򤱤ޤ
ʡ硡 1020ڡ 11:59:52 HomePage:ѤΥۡڡ26007
ϥ饮㡼ƥ
狼󤫤äץǤϷ׻֤
׻ǤʤȤñ˥ߥ졼󤹤Ǥ)
狼ä
̶彣 1020ڡ 12:20:22 HomePage:ĩ26008
uchinyan
Ǽġ̤ɤߤޤϤꡢ󡢵ոΰǤ͡
#25986
Τˡ(2005,1020) -1-> (985,1020) -1-> (985,35) -28-> (5,35) -6-> (5,5) -1-> (5,0) ǡ(1,1) ˤϤʤޤ
¾⤴ŦˤʤäƤ褦ˡ桼åɤθ߽ˡƱˤʤΤǡˤʤꡢ
ϡߤǡʤΤݥȡȻפޤ
Ǥ⡢2005ǯ101924˽ȹͤС2005, 1019 Ǥ⡢äΤʡפȤǤ (^^;
䡡ޥ뤵󡥡
#25995
ϡޤˤǤ ^^/
#26002
#26006ǽ񤭤ޤʥ֤ˤȡ2445610 ̤ꡢξĴ٤뤳Ȥˤʤޤ
󡢤ΤۤȤɤĴ٤ʤƤΤǤ١Ⱦʬ餤׻ϤʤФʤʤ
(1,1) ϤơޤˡΤʤ
#26003
ǽ餬(1,0) (0,1) ǤϤʤơ(1,1) ʤΤǡ󾯤ʤʤޤäơ虜Ȥʡ
䡡ޥ뤵 (^^;
#26008
ȡץǤβˡ(#26005, #26006)񤭹ޤƤޤ
ñ˥ߥ졼󤹤Ǥ)
ȤȤäƤΤʡ
ͥνȡ 1020ڡ 13:02:28 MAIL:uchi@sco.bekkoame.ne.jp 26009
tapu
20051019ɤäƹԤޤ礭Τ1ʬۤʤΤǤ͡
1020ڡ 16:01:31 26010
粬ҹ
֤֤ޤʡ
դ׻Ƥޤϡ
ʣˡ
ʣˡ
ʣˡáʣࣳᣲ
ʣˡ
ʣˡáʣࣴ᣷
ʣˡ
äơܣܣܣܣܣᣴ
Ρä飲ܤơä飱­äƤ꤬ä褦ʡѲǤߤʴޤʡ
򤫤äǤ
1020ڡ 22:41:27 MAIL:toshi009@land.hokuriku.ne.jp 26011

ȯŸʤΤ
1020ڡ 23:10:03 26012
⡼ޥ
ľܴطʤͧͤǤ


1cmĹ55cmû10ܤʬͤ롣
10ܤ椫顢ѷ뤳ȤΤǤ3ܤ
ʬ֤ȤǤ뤳Ȥ衣

ͤͤä餷ȤĤⴶޤ
1021ʶ 10:21:44 MAIL:kennji72001@yahoo.co.jp 26013
uchinyan
ɤǶᡢν񤭹ߤ¿᤮뵤Τǡͤ褦ȻפΤǤ
򤽤꤬ȤĤʤ m(_ _)m ⡼ޥ󤵤⼫ͤޤ礦褥^^;
⡼ޥ󤵤ꡧ
1cmĹ55cmû10ܤʬͤ롣
䤳10ܤ椫顢ѷ뤳ȤΤǤ3ܤ
ʬ֤ȤǤ뤳Ȥ衣
ѷΩɬ׽ʬϡդ a, b, c Ȥơa + b > c, b + c > a, c + a > b Ǥ
ξϡɤˤȻפΤǡάޤ
ŬʻĤʬĹ p cmp + q cmp + q + r cmp > 1, q, r >= 0 ȤޤȡѷΩ p > r ˤʤޤ
ϡûĹ ĤĤĹκ̣Ƥޤ
ơ1 cm Ĺ 55 cm û 10 ܤΤäƤƤ⻰ѷǤʤȲꤷ
ǾĹ p cm, p > 1 Ȥơû¤٤뤳Ȥͤޤ
Ĥʬ p, p + q, p + q + r ФơѷǤʤȤ p <= r ǤʤФʤޤ󡣤ǡǽΣܤϡ
p, p + q, p + q + r >= 2p + q
ˤʤޤäˡĹΤΤǾˤʤͤȡq = 0 ǡ
p, p, 2p Ǥ
ƱȤܤФƹͤȡp, p, 2p, 2p + r ǡѷǤʤ狼 p <= (2p + r) - 2p = r ʤΤǡ
p, p, 2p, 3p
ܤϡp, p, 2p, 3p, 3p + r ǡѷǤʤ狼 2p <= (3p + r) - 3p = r ʤΤǡ
p, p, 2p, 3p, 5p
ܤϡp, p, 2p, 3p, 5p, 5p + r ǡѷǤʤ狼 3p <= (5p + r) - 5p = r ʤΤǡ
p, p, 2p, 3p, 5p, 8p
ʲƱͤˤơѷǤʤơ⡢ĹǾˤʤ 10 ܤ¤٤ȡ
p, p, 2p, 3p, 5p, 8p, 13p, 21p, 34p, 55p
Ȥp > 1 äΤǡ55p > 55 cm ȤʤꡢǾξǤĹʬ 55 cm Ϥ߽ФƤޤ̷Ǥ
ǡѷǤʤ 10 ܤʬ¸ߤʤȤˤʤޤ
äơեܥʥåʤǤ͡ ^^/
ͥνȡ 1021ʶ 14:05:19 MAIL:uchi@sco.bekkoame.ne.jp 26014
⡼ޥ
#26014
uchinyanء
¨꤬Ȥޤ
ϤĤˤϪܤʤä㤦ͶǤ˾ƤʤäơǤ⡢錄⼫Ťޤ͡ɤޤ꼫ʤɡ
1021ʶ 16:32:11 MAIL:kennji72001@yahoo.co.jp 26015
ޥ
٤ҤƼǿǡʤȤۤɤǤ⤢ޤ󤬡ˤޤ(^^;;

#28014,28015

Ťʤɤ줺󤸤񤭤Ǥʡ
PowerBook G4 1021ʶ 16:40:21 MAIL:masaru-y@sansu.org HomePage:26016
⡼ޥ
ޥ뤵Τդ˴Ťơ

ʤ錄ϲ򤱤ʤä

nˤäȤᤤanɽ
ΤȤS=1/a1+1/a2++1/a992
ͤ衣

ήԤäƤޤ͡
ޥ뤵󡢤ĤФ
1021ʶ 17:08:46 MAIL:kennji72001@yahoo.co.jp 26017
⡼ޥ
#26017

ʸƤޤorz
n = n Ǥ

⡢褯פĤʤơ


1021ʶ 17:15:48 MAIL:kennji72001@yahoo.co.jp 26018
uchinyan
#26017()
ˤͤߤΤǡˡϽ񤭤ޤ󤬡 62 ʡ
Τˡ׻ϡ줤ˤǤޤ
ͥνȡ 1021ʶ 22:13:41 MAIL:uchi@sco.bekkoame.ne.jp 26019
uchinyan
ޥ뤵󡢤
ͥνȡ 1021ʶ 18:21:33 MAIL:uchi@sco.bekkoame.ne.jp 26020
ʤ
#26013 #26014 ѷ
⤦ץˤʴǤǤ礦

ɤΣܤǤ⻰ѷʤȲꤹ롣
ܤʬû a(1),a(2),a(3),a(4),,,,a(10) Ȥȡ
a(i),a(i+1),a(i+2)ѷʤȤˤꡢa(i)+a(i+1) <= a(i+2)(i=1,2,,,,8)
a(1)>1, a(2)>1, a(3)>=a(1)+a(2)a(3)>2
Ʊͤˡa(4)>1+2=3, a(5)>5, a(6)>8, a(7)>13, a(8)>21, a(9)>34, a(10)>55 Ȥʤꡢ
Ĺʬ 55 Ķդȿ롣
̷˵夷Τǡ룳ܤ٤лѷ롣
̹񡡡 1021ʶ 20:19:48 MAIL:naka@sansu.org HomePage:naka's Home Page26021
uchinyan
#26021
ʤۤɡξȴŪˤƱȻפޤβˡˤϥޤ͡
ʤξȻפޤ
ͥνȡ 1021ʶ 22:06:18 MAIL:uchi@sco.bekkoame.ne.jp 26022
weapon
#26017
m2ΤȤ(m-1)^2,(m-0.5)^2,m^2,(m+0.5)^2,(m+1)^2ͤƤߤȡ
m^2-m+1km^2+mΤȤa_k=mǤ뤳Ȥ狼롣ϰϤkˤĤ
a_k=(1/m)*{(m^2+m)-(m^2-m+1)+1}=(1/m)*2m=2
äơ992=31*31+31դơ¤ϡ1/1+1/1+[n=2,31]2=2*31=62

⡼ޥ󤵤ɤäοͽäݤǤ͡
ʤȤ߹碌꤬¿褦Ǥ
ϤϤȤˤưäƤΤŴ§ȡ
1022ڡ 0:05:00 26023
⡼ޥ
#26017
uchinyanweaponǤ
ϤȤϰ㤤ޤ͡



nФan󤹤
n : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
an : 1 1 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5
anѲȤnͤ
2,6,12,20,
1*2=2
2*3=6
3*4=12
4*5=20

Ǥꡢankk+1ѲȤζnͤ
k(k+1)
an=kȤʤnͤ
(k-1)*k+1nk(k+1)
ǡθĿϡk(k+1)-(k-1)k=2k
992=31*32
S=2*(1/1)+4*(1/2)+6*(1/3)++62*(1/31)
=2+2++2
=62

ͧͤμΤꤿȻפäƤⶵƤ館ʤ
1022ڡ 0:36:03 MAIL:kennji72001@yahoo.co.jp 26024
weapon
#26023

a_k(1/a_k)
992=31*31+31992=31^2+31(äϤɤǤ⤤Ǥ)
1022ڡ 0:47:56 26025
weapon
#26023

a_k(1/a_k)
992=31*31+31992=31^2+31(äϤɤǤ⤤Ǥ)
1022ڡ 1:03:25 26026
ƤƤƤ
ñ˥桼åɤθ߽ˡǤ硣ǸΤҤȤĤդɬס
1022ڡ 8:16:34 26027
ӣգУϣңϣ
#25998
133+9881019

???
1+2+3++11=66
1+2+ġ+36=666
1+2+3+4++=666
ƻ1956桡 1023 2:43:28 26028
⡼ޥ
#26028
SUPORONꡣ
111 1x11,3x37 ʳˡο1,3,7,9 ʾοʤ⡢(111/12)˶ᤤˤdz꤭Τ̵ФʤȻפޤξ狼ʤ
ˤƤɤˤǤäžäƤޤ͡
1023 16:28:44 MAIL:kennji72001@yahoo.co.jp 26030
ʥե
򤱤ޤ嵐
Ǥ⡢׻ƤʤΤʡ
äȥ쥬Ȥ˲򤱤Ǥ
1024ʷ 12:41:46 26031
uchinyan
#26028
⡢Żι֤˾ͤƤߤޤ
ޤBASIC1000⡼ɤܰĴ٤Ƥߤޤ3, 11, 36 ʳβϸĤޤǤ
äơʳ˲򤬤ʤäƤ⡢ʤꡢ500ʾ塩礭ʿˤʤꤽǤ
Ǥ
ࡢʤȤ⡢Ǥϡʬޤ󡣷빽Τʤ
ޤĤΤ褦ˡñʤȤȤƤǽ⤤ΤǤ礦 ^^;
ͥνȡ 1024ʷ 19:18:27 MAIL:uchi@sco.bekkoame.ne.jp 26032
⡼ޥ
#26028ꡡ򤱤ޤʥץߥƥ֤ɮǡ

n(n+1)=12x111=1332

ʤΤǡn βθϡ
?@ΤȤ
a,1
a,2
2a,2
a^2,a
顢2a+a=3 ϡ夬3ˤʤȹͤƲ

顢a=1 Τߡ
λa^2=1

b,1,1
b,1,2
2b,2,2
b,1,1
b^2,b,b
顢3b+1=10c+3 b=4
2b+1=1,3 ʤ
ĤޤꤳʾοΤϤʤ

?A 3ΤȤ
a,3
a,4
4a+1,2
a^2,3a
顢4a+1+3a=7a+1=3 顢a=6

b,6,3
b,6,4
4b+2,5,2
6b+3,7,8
b^2,6b,3b
顢4b+2+7+3b=7b+9=3 顢b=2
ޤ6b+3+6b+2=12b+5=3 顢b=4
ĤޤΤϤʤ

?B 6 ΤȤ
a,6
a,7
7a+4,2
a^2,6a
顢7a+4+6a=13a+4=3 顢a=3
ΤȤa^2+4=13

b,3,6
b,3,7
7b+2,5,2
3b+1,0,8
b^2,3b,6b
顢7b+2+1+6b=13b+3=3 顢b=0
3b+1+3b=6b+1=3 顢b=2,7
ĤޤꤳʾΤϤʤ

?C 8ΤȤ
a,8
a,9
9a+7,2
a^2,8a
顢9a+7+8a=17a+7=3 顢a=8
a^2+14=78 顢ˤϤʤ

b,8,8
b,8,9
9b+7,9,2
8b+7,0,4
b^2,8b,8b
顢9b+7+1+8b=17b+8=3 顢b=5
ޤ8b+7+8b+9=16b+16=3 顢b θϤʤ
ĤޤꤳʾΤΤʤʬ롣

ʾ夫顢n=11,36
ޤn(n+1)=12 ΤȤϡn=3

ƳĴ٤ƻ⡣
1025ʲС 14:07:45 MAIL:kennji72001@yahoo.co.jp 26033
⡼ޥ
Ʋϡ
ޤäƤɤߤŤ餯ʤä㤤ޤ͡
ԡڡȤƤ⤺Ƥ顢ľĤäǤ
orz
1025ʲС 14:11:32 MAIL:kennji72001@yahoo.co.jp 26034
uchinyan
#26028
ŪˤäȰäɡ򤱤ʤȤ
Ȼפä顢⡼ޥ󤵤ν񤭹ߤޤƱͤΤ褦ǤȤȤϡǤΤʡ
ääΤϡƷοݤˡ 0 9 ˸ꤷƤɤ
Ǥ⤤ϤǤ͡ʤȡ夬Ĥ夬äƤޤ

ȡī񤤤ΤǤäѤä롣
㤨С#26033
2b+1=1,3 ʤ
ĤޤꤳʾοΤϤʤ
줬ɤƤΤ䤹ȤϡñǤϤʤ褦ʵޤ
Ǥϥʤ櫓顢
c,4,1,1
ͤ롣ȡc = 8 Ȥơͷϡ...3332 Ȥʤޤλͷ 7075 ǥǤ
ä顢޷ͤ롣С޷ ...33332 ȤǤޤϥǤ(ʤߤ 68411 * 68412)
Ȥ򷫤֤Ƥäơ ...333332 ˹碌顢ޤ 13333... Ȥʤ뤳Ȥˤʤ
ʤȤ򥭥ȼʤȤʤޤ
äȤ⡢Ʒ䤷Ƥȡޤޤ郎ʤäƤޤʤʤȤϻפΤǤ
餬ɤ⥹åȾǤƤʤ褦ʵޤ
¿ʬ̤ n ξǤФʤɡ줬
ͥνȡ 1026ʿ 17:48:11 MAIL:uchi@sco.bekkoame.ne.jp 26035
⡼ޥ
#26028
uchinyan ء
ƤߤȳΤˤǤ͡
ǤϹԤʤ
ޤˡϤʤǤ礦ͤ
Ǹϡz^2+ʤΤǡz^2=1,4,9,16,25,36,49,64,81
顢ϡ­ơ13,133,1333,ˤʤˤʤФ櫓ǡõФ뤫ͤ
1026ʿ 23:20:18 MAIL:kennji72001@yahoo.co.jp 26037

׻ޤڤǤ
1026ʿ 23:48:17 26038