Die neue Frau
ñ15ޤǤ¤ޤ
⤦᤯ΤȤ˵ŤƤС
˳ھڡ 219ڡ 0:07:26 MAIL:jjyhr530@yahoo.co.jp 33929
㡼ߡ
ľϤ狼äɡɤäƾΤĤޤ
Ȥ礦Ȥ䤯 219ڡ 0:10:39 MAIL:kakuromaster@star.cims.jp 33930
ߡ
()äƤʤǤ
ͧλŦˤ굤Ĥޤ
219ڡ 0:10:50 MAIL:amimorisama@hotmail.com 33931
Die neue Frau
СǯΥեߤʤΤäƤΤ򵤤ˤʤäƤΤǤ줿Ȥ˽񤤤Ƥޤ
˳ھڡ 219ڡ 0:11:18 MAIL:jjyhr530@yahoo.co.jp 33932
Taro
1ĤϢ³5!120-1=119
ĤϢ³6!ʤ
ĤϢ³7!ʤ
ȹͤΤΡʤΤ1ܤǽäƤ褫äȤ
ǵŤޤorz
Ȥ 219ڡ 0:12:43 33933
ߡ
ĤȤͣβǽġ
219ڡ 0:15:35 MAIL:amimorisama@hotmail.com 33934
Ϥʤ
㤬äƤޤ͡ʬ̣Ϥ狼ޤ

ȤƹͤΤ119ʳˤΤǤ礦
ʥܣˡΤȤᣱ
ʥܣˡʥܣˡΤȤʤ
ʥܣˡʥܣˡʥܣˡΤȤʤ
ޤǤϳǧޤ
219ڡ 0:15:47 33935
ߡ
Ƥʤ顤ᣵȤ
219ڡ 0:16:01 MAIL:amimorisama@hotmail.com 33936

򸫤ơΰ̣äѤ狼餺ˤäǺǤޤ
㤬ְäƤΤ
ܿĻԡ 219ڡ 0:16:36 MAIL:-⡥󡥣塥 HomePage:33937

ʤ㤬äƤʤ褦˻פΤ

ȤƤϽοޤȤƺǸ˻äƤäƴʡ
1234ʥˡX
5ĤޤȤ1䤹120Ǹ˻äƤ롣
ȡ119Ȥʤ롣
ʾ䤷ƤäƤϾʤʤΤǡͤ119Ǥ롣
219ڡ 0:18:36 33938
ߡ
¤ʤ褫äΤʡ
219ڡ 0:21:57 MAIL:amimorisama@hotmail.com 33939
Ϥʤ
#33936ߡ󡡳Τˡᣱȣͽޤ͡ʾС
219ڡ 0:32:59 33940
Mr.ǥ
Ʊ͡򸫤Ƭ򤫤Ƥޤ
ϤƤɤͤƤ 119 ʤ ޥ뤵βδ㤤Ǥ礦
ʸǸ119ʳˡߡ,Ϥʤ󤬽񤫤Ƥ5פ⤢Ǥ͡ˡ
219ڡ 0:55:14 33941
⡼ޥ
줳줬ͤäƸͳ褯ʬʤ...^^;
ϰ礤ޤͤ...^^;
̣ʬޤ...

#33933Taro Ρ
>1ĤϢ³5!120-1=119
>ĤϢ³6!ʤ
>ĤϢ³7!ʤ
>ʤΤ1

ä ^^
219ڡ 1:35:07 33942
pao
äѤ㤪Ǥ͡
Ф餯ǺǤޤޤ
Ĥ餷ƤʬǸ˻äƤǤߤǤ
219ڡ 1:47:04 33943
ޥ
ߥޥϷ׻ߥǤ...orzǤޤ󤬡礤٤ҤƤˡޤǺäΤ..ߥޥm(__)m

Ǥ뤳ȤϳǧƤޤ赭Ȥä׻Ūñ˾Ǥ...ȻפΤǤ⴪㤤Ƥ뤫⡣ˤʤäޤ񤭹ߤޤm(__)m
219ڡ 1:57:57 33944

ޤɤ

(1)
褷ϵǼΤ줾εɤ1ɤʾ塢礦3600ʬ㤤ޤ
(1ɤ130)(1ɤ170)
路(1ɤ78)(1ɤ104)
ơ褷ϤɤäȤˤʤǤ礦
(ԥå1ͽ)

(2)
ᥢ꡼ȤҤǤ路
ԡ2ͤ饲ൡä
ᥢ꡼ȤҤǤϡʬФƤơ򸫤Ƥʤϡɤ1ʾä
2ͤκ100ǤϲäǤ礦פȥԡȡޤϥᥢ꡼ͤƤä
ֻˤϡҤǤ狼ʤ
ʹҤǤͤơ
ͤᥢ꡼Ϥ狼ʤ
ʹƥᥢ꡼
֤狼äǤ⡢2ͤ1Ǥ¿äޤ狼ʤä
ơ2ͤϲäǤ礦
(ԥå3ͽ)
219ڡ 2:19:19 33945
weapon
a_k=k*(k+1)**(k+X-5)Ȥ롣
餫a_kk˴ؤƶñĴá
餫a_1<X!,a_2<X!,a_3<X!,a_4<X!,a_5<X!
120XȲꤹ롣
5!<X+1
5!*X!/5!<6*7**(X+1)
X!<a_6
a_kk˴ؤƶñĴäꡢX!<a_7,X!<a_8ġ
äơX=a_kȤʤk¸ߤʤ
̷⡣
äơXκͤ119ʲ
ޤX=119ΤȤ
餫119!=a_6
äơXκͤ119
219ڡ 3:40:38 33946
weapon

X
219ڡ 3:46:48 33947
weapon

äơX=a_kȤʤk¸ߤʤäơX!=a_kȤʤk¸ߤʤ
219ڡ 3:52:52 33948
ޥȥ졼
weaponβ()ȤۤƱͤǤ
錄θդǽ񤫤Ƥ餤ޤ

̿
n! = m(m+1)(m+2)*...*(m+n-5) 褦
m,n(m0,n120)Ȥ¸ߤʤ

־
ˡǼ
m,n(m0,n120)Ȥ嵭Ȳꤹ롣
N=m(m+1)(m+2)*...*(m+n-5) ȤʤС
n! = N ΩƤȤʤ롣
m6 ǤȤʤСN(n+1)n(n-1)*...*7*6
Ǥ뤬ꡢ n!(n+1)n(n-1)*...*7*6 1*2*3*4*5(n+1)
n119 n120 ȿƤ롣
m5 ǤȤʤСN5*6*7*...*(n-1)*n
Ǥ뤬ꡢn!5*6*7*...*(n-1)*n 1*2*3*41
餫̷Ǥ롣
ʾꡢˡȤ롣

(ʤɤΩͳϴñǡˤʤͤϳƼФ褤Ǥ礦
219ڡ 4:35:05 33949
̾
ȤäƤȤäƤȤäƤⵤˤʤǤ
äƤäƤǤ
ڥԥ󳦡 219ڡ 6:24:29 33950
̾
áƤʤä
ڥԥ󳦡 219ڡ 6:28:24 33951

119ʾ夢ꤨʤǡ
219ڡ 6:40:17 33952
̾
119ꤨޤ
ڥԥ󳦡 219ڡ 6:50:14 33953
̾
#33953
ڥԥ󳦡 219ڡ 6:52:45 33954
̾
#33945

ΰ̤ܤǤ

ȤС¿ʤǤ͡
ڥԥ󳦡 219ڡ 6:55:07 33955
abcba@jugglermoka
ǥ!Ϣ³륢-NĤοѤɽΥκͤ(N+1)!-1Ȥʤ롣

ʤ#33945

104+78+78=260=1302,
3600-(130+170)=12
򣱣ɤäȤˤʤ롣
2
ᥢ꡼ҤǤᥢ꡼νǤ狼ʤ狼ʤ狼äϰϤ
ҤǤ201400ᥢ꡼101300ʤΤǡ
ҤǤ400ᥢ꡼300


ȤС¿ʤǤ͡
219ڡ 10:04:55 33956
ϥ饮㡼ƥ
Ϥ褦ޤ

ץǤ
219ڡ 10:12:35 HomePage:湩ؤ˥33957
abcba@jugglermoka
#33955

亹ȤС¿ʤǤ͡
⺹¿ʤδŪʳǰ򤯥ݥȤˤʤޤ
¿ʤ2ĤǡؤǤ2ȤѤȡȤƤ⥨쥬ȤʸƳ礬ʤꤢΤǥޥåʥСʤΤ....
#33956κǸʬϽ񤭹ߥߥǤ(ľޤ)
219ڡ 10:14:18 33958
???
㤬ְäƤΤ˵դä
basicǡ
!sc635.bas
OPTION ARITHMETIC DECIMAL_HIGH
LET maximum=452
LET X=1
FOR a=1 TO maximum
LET X=X*a
IF a>4 THEN
LET owari=0
LET b=1
DO WHILE owari=0 AND b<=maximum
LET xx=1
FOR j=b TO b+a-5
LET xx=xx*j
NEXT j
IF X<=xx THEN
LET owari=1
ELSE
LET b=b+1
END IF
LOOP
IF X=xx THEN
PRINT "1";a;"ޤǤX=";X;"(";b;"";b+a-5;"ޤǤ)"
END IF
END IF
NEXT a
END

ubasicǡ
10 'asave "sc635.ub"
20 Max=1000
30 X=1
40 for A=1 to Max
50 X*=A
60 if A<=4 then 170
70 Owari=0
80 B=1
90 while and{Owari=0,B<=Max}
100 Xx=1
110 for J=B to B+A-5
120 Xx*=J
130 next J
140 if X<=Xx then Owari=1:else B+=1
150 wend
160 if X=Xx then print "A=";A;",X=";X;"(";B;"~";B+A-5;")"
170 next A
180 end
219ڡ 10:15:53 33959
???

1 5 ޤǤX= 120 ( 120 120 ޤǤ)
Ǥ120120ޤǤѤä񹳤¿Ǥ礦͡
219ڡ 10:23:37 33960
abc
ޥȥ졼դξ򻲹ͤˤơ꤬̿ΩĤȻפޤ
n!=m(m+1)(m+n-k-1)ĭ(αդϢ³(n-k)Ĥ) 褦m,n,k(m>0,n(k+1)!,k2)Ȥ¸ߤʤ
m=k+2,n=(k+1)!-1,k2 ϭޤ
äơnϡ(k+1)!-1Ȥʤޤ
Ǥϡk=4ˤʤäƤޤ
219ڡ 10:29:06 33961
uchinyan
Ϥˤϡơϡ
119 ϤʬäΤǤ礫ɤȡ㤬դβȹʤΤǡǧڤޤ (^^;

ơˤĤƾͤƤߤޤʲؤˤʤäƤޤޤ

a(m,n) = m(m+1)(m+2)...(m+n-5), m, n ϡm >= 1, n >= 5
Ȥȡդϡa(m,n) = n! m, n 뤳Ȥˤʤޤ
ޤ餫ˡa(m,n) m, n ˤĤƶ(ʤ뤳Ȥʤ)ñĴäޤ
ǡm > 7 ʤСa(m,n) > a(7,n) = 7 * 8 * ... * n * (n+1) * (n+2)
⤷ n >= 26 ʤС(n+1) * (n+2) >= 27 * 28 = 756 > 720 ʤΤǡ
7 * 8 * ... * n * (n+1) * (n+2) > 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * ... * n
Ĥޤꡤm >= 8 n >= 26 ΤȤa(m,n) > n! Ȥʤꡤa(n,m) = n! β¸ߤޤ
äơ򤬤ȤСm <= 7 n <= 25 ΤȤˤʤޤ

ޤm <= 7 ξ硤n ˤ¤ʤĴ٤ޤ
m <= 5 ʤСm >= 1, m+n-5 <= n ꡤ
a(m,n) = m(m+1)(m+2)...(m+n-5) < 1 * 2 * 3 * 4 * 5 * 6 * 7 * ... * n
ʤΤǡϤޤ
m = 6 ΤȤϡ
a(6,n) = 6 * 7 * ... * n * (n+1) = 1 * 2 * 3 * 4 * 5 * 6 * 7 * ... * n
n+1 = 120
n = 119
ˤʤޤ
m = 7 ΤȤϡ
a(7,n) = 7 * 8 * ... * n * (n+1) * (n+2) = 1 * 2 * 3 * 4 * 5 * 6 * 7 * ... * n
(n+1)(n+2) = 720
ϡn = 25 (n+1)(n+2) = 702n = 26 (n+1)(n+2) = 756ȤʤꡤϤޤ
ǡ(m,n) = (6,119) Ȥʤޤ
⤦Ĥξ n <= 25 ʤΤǡn κ 119 ʬꡤΥ 119 ˤʤޤ

ˡn <= 25 ξ硤m ˤ¤ʤǤ
ǰʤ顤ޤꤦޤˡפĤʤäΤǡn >= 5 դơ
a(m,25) = m(m+1)(m+2)...(m+20) = 1 * 2 * 3 * 4 * 5 * ... * 24 * 25
a(m,24) = m(m+1)(m+2)...(m+19) = 1 * 2 * 3 * 4 * 5 * ... * 24

a(m,6) = m(m+1) = 1 * 2 * 3 * 4 * 5 * 6 = 720
a(m,5) = m = 1 * 2 * 3 * 4 * 5 = 120
ץĴ٤Ȥ(m,n) = (120,5) ϤޤǤ

ǡɡ
1 * 2 * 3 * 4 * 5 * 6 * ... * 118 * 119 = 6 * 7 * ... * 119 * 120
1 * 2 * 3 * 4 * 5 = 120
Τ褦Ǥ
ԤǤ

ʤm >= 7 n >= 120 ΤȤǤ⡤a(m,n) = n! β¸ߤʤȤޤ
ޤ򤯤ˤϤǽʬǤʬ䤹Ȥפޤ
θƤڤˤ褦ȻפäơĴ٤ n ϰϤʤ褦ˤƤߤޤ
Ǥ⡤ޤ̣ޤǤ (^^;
ͥνȡ 219ڡ 21:00:49 MAIL:uchi@sco.bekkoame.ne.jp 33962
ϺĹ
褯ʬޤ󤬡120Ĥޤ119⤫ǤʤΤǡ
äѤ㤬äޤɡ
219ڡ 14:17:31 33963
Ȥ
轵ڤǤޤ5!1ҤФ褤Ȥˤ˵Ĥޤ
ȡȤ˥󥿡ͥåȴĶʤΤǡλ֤Ǥ
#33944>
ޥ뤵ء٤褯ʤޤ褦
219ڡ 14:18:12 33964
uchinyan
ǼĤɤߤޤϤꡤϴְäƤǤ͡
ͤϡƱΤ褦Ǥ

#33946#33949ξͤˤʤޤ
#33962ȤϡտޤƤ뤳Ȥ㤦ΤǡϤ٤Ƥβ褦ȤƤޤ
Ͼ㤤ޤͤƱȻפޤ
n >= 120 ξˤϡΤˡm ˴طʤ¸ߤޤ͡ˡǤǧޤ
ޤ#33961
n!=m(m+1)(m+n-k-1)ĭ(αդϢ³(n-k)Ĥ) 褦m,n,k(m>0,n(k+1)!,k2)Ȥ¸ߤʤ
䡡m=k+2,n=(k+1)!-1,k2 ϭޤ
äơnϡ(k+1)!-1Ȥʤޤ
Ǥ͡ǧޤ
ͥνȡ 219ڡ 14:56:24 MAIL:uchi@sco.bekkoame.ne.jp 33965
Ѥ
ƥٶǺ˺Ƥޤ
Ȥ˸¤ä꤬פä

褦꤬ꥫοإԥå˽ФƤ褦ʵޤ
֡ 219ڡ 15:07:20 HomePage:33966
ޡ
1*2*3*4*5**
5**餫Ωʤ
1*2*3*4*5**
6**(+1)Ωġʥ119
1*2*3*4*5**
7**(+2)1*2**6(+1)*(+2)720Ωʤʶᤤ26*27756
λǥ25Ȥʤ119꾮
ˤ餷Ƥ⥢Ϥɤɤ󾮤ʤʤΤǤ̵̣

̣˻ǤФʴǤ礦
219ڡ 20:38:06 33967
⡼ޥ
#33945 2

ᥢ꡼ 300
ҤǤ 400

ʡ
219ڡ 23:18:25 33968
o
󤿤󤹤
220ʶ 15:46:25 33969

(2)ϳǤ
1ˤϹäƤޤ⤬äȲΤǤ
1ΰ̤ܤȤʤȡ7853901045520ΩäƤޤȤ߹碌3600ߤˤʤ뤫⤷ʤΤǡ
ҥȤȤƤϡֲǤפȤäƤޤ
220ʶ 20:22:52 33970
uchinyan
#33970
78 = 26 * 3, 104 = 26 * 4, 130 = 26 * 5
ͥνȡ 220ʶ 23:15:55 MAIL:uchi@sco.bekkoame.ne.jp 33971
⡼ޥ
#33971
ä...ʤۤɤǤ
ǡ12ʳʤȤޤ ^^
դʤä...^^;
221ڡ 9:07:12 33972
⡼ޥ
#33973
ˤ...^^;

#33945 2Τäꤷˡ狼жƤ m(_ _)m
ʤߤˡ錄ťʤøʡ˲ˡʲ...^^;

100ʲλϰդ˷ޤ롣
äơξԤȤ 101ʾ塣
ᥢ꡼101 ΤȤ1-201 Ƿޤʤ
ҤǤ201 ʤ顢ᥢ꡼101301 Ȼפޤʤ
顢ᥢ꡼ϤҤǤ201 Ȥ狼ä
⤦1狼ʤäȤȤϡᥢ꡼ 201 ǡҤǤ 101301 ȻפҤǤ 101 ʤ顢ᥢ꡼ 201 Ȥ狼뤫顢ҤǤ 301 ȥᥢ꡼Ϥ狼롣
ᥢ꡼ 301 ǡҤǤ 201 401 ȻפҤǤ 201 ʤ顢ᥢ꡼ 101 301 Ƿޤ餺ҤǤ 301 ʤ顢ᥢ꡼ 201 401 ǷޤʤΤȤϡᥢ꡼狼äȤʤΤǡᥢ꡼ 300 ʲ
ᥢ꡼300ΤȤҤǤϡ200 400 Ȼפ狼餺ҤǤ 200 ΤȤᥢ꡼ 100 300 Ȼפ300 Ȥ狼뤫顢ᥢ꡼ϡҤǤ400Ȥ狼롣
ҤǤ 400 ΤȤᥢ꡼ 300 500 ȻפʤΤǤ狼ʤ
Ĥޤꡢᥢ꡼ˤϤҤǤο狼뤳ȤˤʤΤǡᥢ꡼300ҤǤ 400 Ȥ狼롣
꤯ʤ,,,^^;
221ڡ 10:36:20 33974

Ĥ񤭹ߤߤޤʾС
221ڡ 10:47:14 33975
⡼ޥ
#33975
СͥƤäƤȤǤ礦͢
221ڡ 11:14:23 33976
ߡ
㤢ʤΤϤɤǤ礦

դѤΩΤ򣴸̷Ž碌ΤȤ߹碌ơ
ơ⤵10ѡ15ѡ18ѤľΤ뤳ȤǤʤȤ衣
221ڡ 17:51:46 33977
̾
#33977϶ζǤ줰餤ʤ򤱤ޤ͡
ʿ̤ǹͤȡġ
ڥԥ󳦡 222 7:34:26 33978
⡼ޥ
#33977 ߡ
ʤǤɤǤ礦

ľΤλԾͤˤ櫓롣
10*15*18=2700
2700/2=1350 ĤĤ롣
1Ĥ3ݹ1ʤΤǡ
31̤Ȥȹͤ롣
Ĥޤꡢ8ĤΥǤǤ夬äƤϤ
2700/8=3374
̷1;ꡢȹοۤʤ뤳Ȥˤʤ뤫餢ꤨʤ ^^

* ä Orz...^^;
222 12:22:41 33979
ߡ
Ǥ͡ƱˤʤʤȤΤǤ褤Ȼפޤ
222 23:17:16 MAIL:amimorisama@hotmail.com 33980
Ҥ
٤Фʤ顢
Υ
󡡣̤
󡡣̤
(ܣ)ߣᣱ̤
(ܣ)ߣᣵ̤
(ܣ)ߣᣲ̤
θˡ(ϣ)ȽФФ褤Τ
ߣ᣶̤

ФФ¤٤Ȥ˹УĤϢ³ʤȤեܥʥåƱͤ˹ͤƤߤޤ
ȡΣƤбǤ뤫
ʼ˸ 223ʷ 10:05:33 33981
ߤγ
ʳñϳ13ܿɤ㤤򤷤Ƥפ13ܿǤ
ϡ1701313;꣱
פ3600ϡ360013276;꣱ʤΤǥ12ɤäȤˤʤޤ
25ɤ3600ۤƤޤޤ
223ʷ 11:29:42 33982
⡼ޥ
#33982
ʤۤɢ
#33971 Ʊ...狼䤹 ^^
223ʷ 13:33:52 33983

(1)βˡϰߤγΤפǤ

(2)βˡ
Ǥʸ狼䤹դˤޤ
ǽ˥ᥢ꡼100äƤ֤ҤǤ狼ʤפȸäΤϡֻ101ʾפȸޤʹƤҤǤ֥ᥢ꡼狼ʤפȸäΤϡͤ201ʾפȸޤ
ǡᥢ꡼300ȤȡҤǤ100ä400Ȥ狼ޤ
⤷ᥢ꡼301ʤ顢100ȤǤϡҤǤ201401Ϥ狼ޤ
223ʷ 21:46:48 33984
CRYING DOLPHIN
#33984
http://www.sansu.org/kakomon/toi063.html
ï⤤ʤԳϡ 224ʲС 1:07:37 HomePage:ȤƻȤ33985

#33985
Ǥ
224ʲС 19:52:30 33986