ޥ
󡢤ΤäƤͤ¿...Ǥ礦ʥͥϡΤäƤͤΤäƤǤ礦..
PowerBook G4 831ڡ 0:07:07 MAIL:masaru-y@sansu.org HomePage:28162
ʸ
37˿¤٤Ȥ
IJȤ˳äޤ꤬褦¤٤Τ
ġ3!
7!

30240
831ڡ 0:07:49 MAIL:kyorofumi@msn.com HomePage:ʸ28163

פ֤λäǤ
ӡӤ;꤬ƱȤˡ§Τǣԣ¤٤뤳Ȥͤޤ
831ڡ 0:08:42 28164
Melvy
ͤϹäƤ (ȡ#28163 ʸΤ˹ԤĤޤ) Τ˷׻ְ㤤 ()
ľƤߤȡ 5 ϸʤ̤äƤΤˡ 2 ĤäƤޤޤ
831ڡ 0:14:46 HomePage:رMelvy28165
㡼ߡ
򤹤ȤۤƱ˲򤱤ΤǤ̯԰¤ˤʤä
٤ʸɤľƤޤޤ
ͥIJ פ;Ǥ͡
ʤߤˡηиȤƤϡ2000 ǯ JMO ͽ 12 ֤ޤ
http://www.mmjp.or.jp/jmo/challenge/old/jmo10yq.htm
𡡡 831ڡ 0:17:23 MAIL:ojamaru@amber.plala.or.jp 28166
ޥ
#28166
Ǥ...丵ͥ

2000ǯ˽ꤵ줿Ȥˡ֤ʡפȴǤ֤ˤ˻ˤϽФʤפȻפäơ֤Ф餯ͥˤ褦פȻפäƤǤ⤦ǯвᤷʡȡ:-)
Intel iMac(20) 831ڡ 0:28:02 MAIL:masaru-y@sansu.org HomePage:28168
ʤߤ
#28166
2!*3!*5!Ǥ
831ڡ 0:29:41 28169
㡼ߡ
ʤ줬ͥäΤġɤȤ
֤졩 βǤ褱 JMO ͽƱʤġ
ȻפäɤľƤޤäΤǤ ()
() ԤǤǯ𤬤٤Фޤ͡
#28169 ϤǤ衼
𡡡 831ڡ 0:39:16 MAIL:ojamaru@amber.plala.or.jp 28170
̵
3Ȥκ3ܿˤʤΤǡֹ3dzäȤ;
ABC3롼פʬ¤
ABCABCABCABCABCABCABC
ˤʤ롣

Ǥդοˤƺ7ˤʤϤɤνֹǤ2Ĥʤ
㤨1ξ815)
ޤο3dzäȤ;꤬ߤ˰ۤʤ롣
ֹ3dzäȤ;ABC3롼פʬ¤Ӥ
A7BˤʤꡢB7CˤʤꡢC7Aˤʤ롣

椨ˡսοȤ7⤷7ο
ưŪ˷ޤ뤳Ȥˤʤ롣
Ĥޤǽ7ͤνֹ椬ޤȤֹ⼫ưŪ˷ޤ뤳Ȥˤʤ롣

ǽ7
ABCABCA
ˤABCΤ줾3dzäȤ;Ȥ߹碌3*2=6̤ꡣ
ǽA7̤ꤢꡢ3͸A6̤ꤢꡢ3͸A5̤ꤢ롣
ǽ7ͤAޤȺǽ7ͰʹߤBƤϤޤޤΤǡ
ǽ餫2ܤBϤʬ7-3=4̤ꤢꡢ3͸B3̤ꤢ롣
ǽ7ͤABޤȺǽ7ͰʹߤCƤϤޤޤΤǡ
ǽ餫3ܤCϤʬ7-5=2̤ꤢꡢ3͸C1̤ꤢ롣

äƤ٤ƤȤ߹碌
6*7*6*5*4*3*2*1=30240̤ꤢ뤳Ȥˤʤ롣
831ڡ 1:17:16 28171
y.kobayashi
Ȥ롣1,4,7,10,13,16,19)A3,6,9,12,15,18,21)B(2,5,8,11,14,17,20)CȤABCϤ줾¤ӤѤƱν롣ABCͤAФơȢϰ̤ꤷʤäƤξ7̤ꡣABCб3!¾ξƱͤ7!̥ʤΤ7!3!30240ǤäƤ뤫ɤ
831ڡ 8:08:54 28172
uchinyan
(ɲýޤ)
ϤϤ褦ޤơϡ
ࡢˤ񤷤ä
ǽ顢դʬäΤΡ郎ԥȤʤ30ʬۤɻԺƤޤ
ơ֤ʤۤɡפȻפäˡ

(ˡ1)
1ܡ2ܡ3ܡʲη֤ȡ3 dzä;꤬ۤʤΡŪˤϡ
3 dzä 1 ;륰롼ס1, 4, 7, 10, 13, 16, 19 ΰ
3 dzä 2 ;륰롼ס2, 5, 8, 11, 14, 17, 20 ΰ
3 dzä 0 ;륰롼ס3, 6, 9, 12, 15, 18, 21 ΰ
ޤ
1ܡ2ܡ3ܡ4ܡ5ܡ6ܡ7ܡʲη֤ȡ7 dzä;꤬ۤʤΡŪˤϡ
7 dzä 1 ;륰롼ס1, 8, 15 ΰ
7 dzä 2 ;륰롼ס2, 9, 16 ΰ
7 dzä 3 ;륰롼ס3, 10, 17 ΰ
7 dzä 4 ;륰롼ס4, 11, 18 ΰ
7 dzä 5 ;륰롼ס5, 12, 19 ΰ
7 dzä 6 ;륰롼ס6, 13, 20 ΰ
7 dzä 0 ;륰롼ס7, 14, 21 ΰ
ޤ
ǡ3 7 ϸߤǤʤΤǡ
3 dzä;γƥ롼פΤ줾ο 7 dzä;ΰۤʤ륰롼פ°Ƥ뤳ȡ
7 dzä;γƥ롼פΤ줾ο 3 dzä;ΰۤʤ륰롼פ°Ƥ뤳ȡ
դޤݡݡݡݡݡʡ
ơޤ1ܤ 21 ̤ꡢ8ܤ 2 ̤ꡢ15ܤϻĤ 1 ̤ꡢˤʤޤ
2ܤϡ8ܤ 3 dzä;꤬ƱˤʤΤǡ7 - 1 = 6 ̤ꡣ
ˡ9ܤϡ1ܤȤ2ܤȤ 3 dzä;꤬ۤʤΤǡ3 - 2 = 1 ̤ǡ16ܤϻĤ 1 ̤Ǥ
3ܤϡ9ܤ 3 dzä;꤬Ʊˤʤޤ15ܤ9ܤǻȤäΤ 7 - 2 = 5 ̤ꡣ
10ܤϡ1ܤ 3 dzä;꤬ƱˤʤΤ 1 ̤ꡢ17ܤϻĤ 1 ̤ꡣ
4ܤϡ1ܤ 3 dzä;꤬Ʊˤʤޤ1ܡ16ܡ10ܤΤΤΤ 7 - 3 = 4 ̤ꡣ
11ܤϡ2ܤ 3 dzä;꤬ƱˤʤΤ 1 ̤ꡢ18ܤϻĤ 1 ̤ꡣ

ʲƱͤˤäƤȡ
(21 * 2 * 1) * (6 * 1 * 1) * (5 * 1 * 1) * (4 * 1 * 1) * (3 * 1 * 1) * (2 * 1 * 1) * (1 * 1 * 1) = 30240 ̤

ľƤơ֤פȻפäΤ

(ˡ2)
¤ǤΤ򻰤ĤĶڤäơ 3 ġĤ 7 ĤŤ٤뤳Ȥˤޤ
Ƥ⡢᤻ΤǡабˤʤäƤޤ
ơ(ˡ1)ξľȡĤ 3 dzä;Υ롼פ򡢲 7 dzä;Υ롼פ¤٤С
ʡˤξΤˡֺμĤ() 7 dzä;Υ롼פΰĤͿȡ
2ܡ3ܤϡ3 dzä;Υ롼פͿˤäưդ˷ޤޤ
ǡñˡ
ɤ 3 dzä;Υ롼פб뤫 3! ̤
ֺΤɤιԤ 7 dzä;Υ롼פб뤫 7! ̤
ǡɡ
3! * 7! = 30240 ̤
ǤȤˤʤޤ

ʤ֤ʤΤʬˤȻפޤޤ
ݡ
֤줿Τǡδְ㤤䤤ޤ
ͥνȡ 831ڡ 18:43:24 MAIL:uchi@sco.bekkoame.ne.jp 28173
25no12
ǡdzäޤ꤬ƱϤ줾죳ġΣĤ򣳤dzäޤϣΣ̤ˤʤˡǡdzäƱȤȡΣĤοκܿˤʤäƣϰϤˤޤ꤭ʤˡ

ܤοͤ줾죷dzäƤ;뤫̤ꡣ줬ޤȡ¾οͤdzäƤ;뤫Ū˷ޤ롣

ˣdzäƱޤˤʤ룳ͤ͡棷͡壷ͤΤɤΤ롣ɤ줫ȡ㤨УܡˤΣͤ줾죳dzäƤ;뤫᣶̤ꡢ줬ޤȡ¾οͤdzäƤ;뤫Ū˷ޤʣܤޤȣܤޤ롢¾Ʊ͡ˡ

ʾפơߣᣳ̤äƤȤǤ͡

ˡʬϾعϰϤĶ褦ʵޤĤοʤΤǼºݤ˽񤭽ФƤ⤤Ǥ͡

uchinyanβˡϥ쥬ȤǤ͡
831ڡ 14:12:54 28174
uchinyan
⤤˻äȡǼĤɤޤ

#28166
丵ͥIJ פ;Ǥ͡
աࡢʤʴʡ

դ¤Ӥ a(n), n = 1, 2, ..., 21 Ȥȡ
a(1), a(2), ..., a(21) ϡ1, 2, ..., 21 ¤ؤǡ
a(n+3) a(n) (mod 3)
a(n+7) a(n) (mod 7)
a(21) a(18) a(15) a(12) a(9) a(6) a(3) (mod 3)
a(20) a(17) a(14) a(11) a(8) a(5) a(2) (mod 3)
a(19) a(16) a(13) a(10) a(7) a(4) a(1) (mod 3)
a(21) a(14) a(7) (mod 7)
a(20) a(13) a(6) (mod 7)
a(19) a(12) a(5) (mod 7)
a(18) a(11) a(4) (mod 7)
a(17) a(10) a(3) (mod 7)
a(16) a(9) a(2) (mod 7)
a(15) a(8) a(1) (mod 7)
Ƚ񤱤ޤ
򸫤餫Ǥmod 3 ǹƱʤΤϡmod 7 ǤϹƱˤʤäƤޤ󡣵դ⤤ޤ
Ĥޤꡢa(n) ϡmod 3, mod 7 Ʊˤʤ뤳ȤϤޤ
ǡ;ꡢϡmod 21 ǰդ˷ꤷޤ
äơa(n) 1 21 ʤΤǡmod 3 Ǥ 0 2 mod 7 Ǥ 0 6 򤽤줾μͿС
a(n) ϡͿФưդ˴˷ꤹ뤳Ȥˤʤޤ
äơa(n) μοϡ0 2 Ϳ 3! ̤ 0 6 Ϳ 7! ̤ 顢
3! * 7! = 30240 ̤
ˤʤޤ

#28162
#28166
ʤߤˡηиȤƤϡ2000 ǯ JMO ͽ 12 ֤ޤ
#26168
䤢Ǥ...丵ͥ
꤬ߤǤƻǡˤ񤷤Ϥ (^^;
#28169, #28170
Τˡ嵭Ʊͤ˹ͤ뤳ȤǤơ2! * 3! * 5! ̤ Ǥ͡

#28163, #28164, #28165
IJȿФǤ#28173(ˡ2)ƱȻפޤ

#28171
٤ʬϰ㤦褦ǤŪˤϡ#28173(ˡ1)ƱͤȻפޤ

#28172
Ūˤϡ#28173ƱȻפޤ
ơ(ˡ1)äݤǤ¼ϡ(ˡ2)˶ᤤޤ

#28174
ɽϰ㤤ޤͤδܤϡ#28173(ˡ2)ƱȻפޤ

ɡܤϴĤβˡޤäƱǡΰ̣Ǥ纹ʤ褦Ǥ͡
ͥνȡ 91ʶ 9:09:43 MAIL:uchi@sco.bekkoame.ne.jp 28175
uchinyan
ޥ뤵ء
դΤǤΤȤ
裵 831 930
󡢰Ϥ٤ߤǤ ^^;
β
伡ϡڡ˸Ȥʤޤ
ࡢ̷(^^;

ʤ̷ϤƤޤ
ˡˤʤΤϡǯ顢
裵ν֤ϡ(¿ʬǯ) 
νϡǯڡ˸
ȤȤǤ礦ʤä (^^;

#28177
䤽мͽϰ 1 ʬƤǤ͡
äդޤǤ
ͥνȡ 91ʶ 10:45:40 MAIL:uchi@sco.bekkoame.ne.jp 28176
Melvy
#28176
ϵŤƤޤǤмͽϰ 1 ʬƤǤ͡
Ŧ (Τ˺ơ) ޤ
91ʶ 1:38:22 HomePage:رMelvy28177
ޥ
#28176,28177uchinyan<Melvy>
Ŧ꤬Ȥޤ褦䤯ޤm(__)m

>󡢰Ϥ٤ߤǤ ^^;
٤....ʤʬ饯Ǥ礦ɡٵ٤٤ȻϤʤΤǡ³Ƥޤ..(^^;
PowerBook G4 91ʶ 12:33:34 MAIL:masaru-y@sansu.org HomePage:28178
JUN
ܤΤ˺Ƥޤ
Sapporo 91ʶ 23:12:45 MAIL:jmrtk800@ybb.ne.jp 28179
ȥȥ
ƱǣߣǤ͡
ˤīᤫäΤǣ˿Ƥޤޤ
ī˽Фƺ٤äΤǤʤ٤Ƥλäˤʤޤ
ʼ˸лԡ 92ڡ 1:14:50 MAIL:h-sakai@zb3.so-net.ne.jp 28180
̵Τ15
ƤߤǤ

1011121314
15161718192021
¤٤гϺdzơģdz;꤬ɤפʤȤ߹碌ǡ飴10ȣӤǿʤƤȳƹԤˤ˰ŤĻߤޤ뤫顢
93 12:48:55 28181
̵Τ15
줿orz
93 12:53:25 28184
Ȥ
ץߥ(basic)

for a=1 to 21
for b=1 to 21
if b=a then goto 290
for c=1 to 21
if ((c=a) or (c=b)) then goto 280
for d=1 to 21
if (0<>mod(d-a,3) or (d=a) or (d=b) or (d=c)) then goto 270
for e=1 to 21
if (0<>mod(e-b,3) or (e=a) or (e=b) or (e=c) or (e=d)) then goto 260
for f=1 to 21
if (0<>mod(f-c,3) or (f=a) or (f=b) or (f=c) or (f=d) or (f=e)) then goto 250
for g=1 to 21
if (0<>mod(g-d,3) or (g=a) or (g=b) or (g=c) or (g=d) or (g=e) or (g=f)) then goto 240
for h=1 to 21
if (0<>mod(h-e,3) or 0<>mod(h-a,7) or (h=a) or (h=b) or (h=c) or (h=d) or (h=e) or (h=f) or (h=g)) then goto 230
for i=1 to 21
if (0<>mod(i-f,3) or 0<>mod(i-b,7) or (i=a) or (i=b) or (i=c) or (i=d) or (i=e) or (i=f) or (i=g) or (i=h)) then goto 220
for j=1 to 21
if (0<>mod(j-g,3) or 0<>mod(j-c,7) or (j=a) or (j=b) or (j=c) or (j=d) or (j=e) or (j=f) or (j=g) or (j=h) or (j=i)) then goto 210
for k=1 to 21
if (0<>mod(k-h,3) or 0<>mod(k-d,7) or (k=a) or (k=b) or (k=c) or (k=d) or (k=e) or (k=f) or (k=g) or (k=h) or (k=i) or (k=j)) then goto 200
for l=1 to 21
if (0<>mod(l-i,3) or 0<>mod(l-e,7) or (l=a) or (l=b) or (l=c) or (l=d) or (l=e) or (l=f) or (l=g) or (l=h) or (l=i) or (l=j) or (l=k)) then goto 190
for m=1 to 21
if (0<>mod(m-j,3) or 0<>mod(m-f,7) or (m=a) or (m=b) or (m=c) or (m=d) or (m=e) or (m=f) or (m=g) or (m=h) or (m=i) or (m=j) or (m=k) or (m=l)) then goto 180
for n=1 to 21
if (0<>mod(n-k,3) or 0<>mod(n-g,7) or (n=a) or (n=b) or (n=c) or (n=d) or (n=e) or (n=f) or (n=g) or (n=h) or (n=i) or (n=j) or (n=k) or (n=l) or (n=m)) then goto 170
for o=1 to 21
if (0<>mod(o-l,3) or 0<>mod(o-h,7) or (o=a) or (o=b) or (o=c) or (o=d) or (o=e) or (o=f) or (o=g) or (o=h) or (o=i) or (o=j) or (o=k) or (o=l) or (o=m) or (o=n)) then goto 160
for p=1 to 21
if (0<>mod(p-m,3) or 0<>mod(p-i,7) or (p=a) or (p=b) or (p=c) or (p=d) or (p=e) or (p=f) or (p=g) or (p=h) or (p=i) or (p=j) or (p=k) or (p=l) or (p=m) or (p=n) or (p=o)) then goto 150
for q=1 to 21
if (0<>mod(q-n,3) or 0<>mod(q-j,7) or (q=a) or (q=b) or (q=c) or (q=d) or (q=e) or (q=f) or (q=g) or (q=h) or (q=i) or (q=j) or (q=k) or (q=l) or (q=m) or (q=n) or (q=o) or (q=p)) then goto 140
for r=1 to 21
if (0<>mod(r-o,3) or 0<>mod(r-k,7) or (r=a) or (r=b) or (r=c) or (r=d) or (r=e) or (r=f) or (r=g) or (r=h) or (r=i) or (r=j) or (r=k) or (r=l) or (r=m) or (r=n) or (r=o) or (r=p) or (r=q)) then goto 130
for s=1 to 21
if (0<>mod(s-p,3) or 0<>mod(s-l,7) or (s=a) or (s=b) or (s=c) or (s=d) or (s=e) or (s=f) or (s=g) or (s=h) or (s=i) or (s=j) or (s=k) or (s=l) or (s=m) or (s=n) or (s=o) or (s=p) or (s=q) or (s=r)) then goto 120
for t=1 to 21
if (0<>mod(t-q,3) or 0<>mod(t-m,7) or (t=a) or (t=b) or (t=c) or (t=d) or (t=e) or (t=f) or (t=g) or (t=h) or (t=i) or (t=j) or (t=k) or (t=l) or (t=m) or (t=n) or (t=o) or (t=p) or (t=q) or (t=r) or (t=s)) then goto 110
for u=1 to 21
if (0<>mod(u-r,3) or 0<>mod(u-n,7) or (u=a) or (u=b) or (u=c) or (u=d) or (u=e) or (u=f) or (u=g) or (u=h) or (u=i) or (u=j) or (u=k) or (u=l) or (u=m) or (u=n) or (u=o) or (u=p) or (u=q) or (u=r) or (t=s) or (u=t)) then goto 100
print a;b;c;d;e;f;g;h;i;j;k;l;m;n;o;p;q;r;s;t;u
100 next u
110 next t
120 next s
130 next r
140 next q
150 next p
160 next o
170 next n
180 next m
190 next l
200 next k
210 next j
220 next i
230 next h
240 next g
250 next f
260 next e
270 next d
280 next c
290 next b
300 next a
END

ץߥ󥰤˼Ԥ⺣
ȯǤǼĤޤ
˭ԡ 96ʿ 15:55:03 MAIL:fttnm528@ybb.ne.jp 28185
fumio
꤮ޤϤϤϡɤä
96ʿ 16:51:47 28186