Ȥ
basic55Ķ뤳Ȥʤ¤ĤʤƤ褯Ǥ͡

FOR a=1 TO 6
FOR b=1 TO 6
FOR c=1 TO 6
FOR d=1 TO 6
FOR e=1 TO 6
IF MOD(10^4*a+10^3*b+10^2*c+10*d+e,7)=0 THEN LET s=s+1
NEXT e
NEXT d
NEXT c
NEXT b
NEXT a
PRINT s
END

f9ơ1110̤ꡦ()
˭ԡ 716ڡ 0:09:26 43473
ʪ
ץߥ󥰤Dz򤭤ޤ
(basic)
p = 0
for i1=1 to 6
for i2=1 to 6
for i3=1 to 6
for i4=1 to 6
for i5=1 to 6
n=i1*10000+i2*1000+i3*100+i4*10+i5
if n mod 7 ==0 Then p=p+1
next
next
next
next
next
print p
716ڡ 0:10:32 MAIL:butsuri.0523@gmail.com HomePage:43474
!!!
6ˤ5示ĤȤˤäȰóݤäƤˤʤä

Ọ̇̄ʤɤߤ֤ä
͡ 716ڡ 0:11:18 43475
ߡ
ְ㤨ġ
Ƥʤ
716ڡ 0:20:57 43476
ǯ
ޤ򤱤
#43473Ȥ⤵#43474ʪƱ褦ˡBasicץ
716ڡ 0:24:12 43477
Mr.ǥ
ɡɤοⲿȤ뤳ȤˤʤΤǡ
7ܿˤʤθĿAn7ܿǤʤΤθĿBnȤ
A1=0B1=6 Ǥ
̤ˣɲäȤȡɲä̤˸ꤵ뤫ͤ
An+1=Bn*1=Bn
Bn+1=An*6+Bn*5ȤΩĤΤǡ.........ʢ

B2=A1*6+B1*5=30A2=B1*1=6
B3=A2*6+B2*5=186A3=B2*1=30
B4=30*6+186*5=1110
A5=B5*1=1110
ʾΤ褦ˤƵޤ
---------------------
[ɵ]ʢˤˤĤƤ
㤨С<2ΤȤ>
7ܿ 14ˢɲä14140ܢǤϡˡ16ΤɤƤ⡡
147ܿˤʤޤ󡣡6̤
7ܿʳ 25ˢɲä25250ܢ(7*35+5)ܢǤ
2ȡ257ܿˡ1̤
2ʳ5̤ˤȡ257ܿˤϤʤޤ
.......ʾ夬Ǥ........
716ڡ 9:14:27 43478
Z
6^5/7
716ڡ 0:30:01 43480

˷ޤĤФϢ
ޤȤ˼ȤǤϳʤȻפ
ƤäݤǤ
1000007=142855
10ޤǻȤ16ޤǻȤο椬
10^5:6^5=5^5:3^5=3125:243
ˤʤȹͤ
14285(243/3125)=1110.8016
ʤΤǡä1110դޤ
(>_<;)

716ڡ 0:41:39 43481
⡼ޥ
5夬7ܿʤ6^4ĤΤ
4夬7ܿǤ
4夬7ܿʤ6^3ĤΤ
3夬7ܿǤ


so
6^4-6^3+6^2-6=1110
äƤʤøʤȤǡ^^;Ĥۤޤ Orz...
¨ ^^;v 716ڡ 0:43:03 43482
٥륯åĥ
ƷˤĤ7dzä;ͤȡ1-6ΥɤФ1-6;꤬б뤳ȤʬäΤǡ16ο5­7ˤʤȤ߹碌Ĥޤꥵ6Ĥ򿶤äܤο¤7ܿˤʤƱȤƹͤޤ
㡧ɴΰ̤123456ΤȤΰ̤οˤĤƤ7dzä;246135ȡ161󤺤ĽФƤޤ
716ڡ 0:45:58 43483
ǯ
Ǹη7С6*6*6*6Ȥꡣ
ڤ7ʤΤǡ4夬7dzڤξǸ76*6*6̤ꡣ
ڤ7ʤΤǰˤʤ롣3夬7dzڤʬǸ7С6*6
ڤ7ʤΤDzäˤʤ롣ä2夬7dzڤʬ¨6
ɡ6*6*6*6-6*6*6+6*6-6=1110
716ڡ 0:55:05 43484

ɥץǡ

9999+999+99+9=11106
1110166ˤʤäự
櫓Ϲͤ˿ޤ(*Φإ)
716ڡ 6:23:21 MAIL:nikotan@fat.coara.or.jp 43486

֤͡Orz
716ڡ 6:38:13 MAIL:nikotan@fat.coara.or.jp 43487
⡼ޥ
ʤ̣ҤͤƤޤ^^
#43484 ǯԤƱ̣ˤʤ뤫ȻפޤOrz

2ξ166Ĥˣбܿꡢ
3ξ6^2-6 ꡢ
4ξ6^3-(6^2-6)ꡢ
5ξ6^4-(6^3-(6^2-1))櫓ǤΤ ^^
¨ ^^;v 716ڡ 8:05:40 43488
⡼ޥ
10=2*5 ʤΤǡ
1,2.5ʳΰοmʤ顢Ʊͤ m^4-m^3+m^2-mĤˤʤꤽ ^^
¨ ^^;v 716ڡ 8:22:58 43489
ϺĹ
⤿֤󡢶͡
ȯʤΤǽ񤭹ߡ
ñ6*6*6*6*6=7776
7dzڤΤϤ1/71110.8塣
1110ǧڡ
˻ī᤯Ѥޤ٤ߤˤäͤޤ
˵դޤ礦äƤäƤ뤥
716ڡ 8:35:07 43490
ϥ饮㡼ƥ
֤äƤΤ˵դ֤ޤ

ץǤ
716ڡ 9:02:30 HomePage:湩ؤ˥43491
Mr.ǥ
#43475ˡ6ˤ5示ĤȤˤ...פˤĤ
6ˤ6示ġפ #43478ιͤ
A4B3=186
A6=B5=186*6+1110*5=6666
111111,222222,..,6666667ܿ
Ʊ5ޤǤ 111111,,6666666̤
6666-66660̤ˤȤʤΤ..
716ڡ 10:10:42 43492
ǯ
#43478Mr.ǥβѤ餺ǥǤ͡
äȾܤƥ⤵Ƥޤ
An+1=BnפˤĤơ
nοXnȤȡn+1ο10*Xn+CC16ˤǼ롣
Xn7dzڤʤ硢10*Xn7dzڤ줺;16οCäȡ10*Xn;11ĤڤǤ롣
CλĤ5Ĥξϳڤʤޤޤ˻Ĥʤδطϼ˻Ѥˡ
Bn+1=An*6+Bn*5פˤĤ
ΤAn*6פιˤĤƤϡXn7dz꤭С10*Xnڤ롣
C16ΤοǤäƤ10*Xn+Cϳڤʤ
Bn*5פιˤĤƤϾҤλĤΤȤǤ롣
ޤ弰ϡAn+1=Bn=6*An-1+5*Bn-1=6*An-1+5*AnA1=0A2=6
ʹͤǤ褫äǤ
ɲá#43492˴Ϣ
111111, 222222, 333333, 444444, 555555, 666666ȤƱ6¤ʤ7dzڤΤǤ礦ʷ׻гΤ˳ڤΤǤ...

716ڡ 10:51:33 43493
Mr.ǥ
ǯԤ󡡡#43493ˤ˫ĺޤܤ­Ƥͭ񤦤ޤ
ΰտޤȤϽ񤫤Ƥ̤Ǥ
ʾη׻ʤΤǡAnФʤäΤǤΤˡAn+1=6*An-1+5*AnȤʤޤ͡
ɲáͤˤĤƤ
aaaaaa=11111*a 顡1111117dzڤ뤳ȤǧȽǤޤ
ĤȤ
[aaaaaa]1000*[aaa]+[aaa]=1001*[aaa]
1001=7*143Ǥ뤳ȤΤäƤСĤ
100A+B=7*14A+(2A+B)
100̰ʾο2ܤ10̤ο¤7ܿǤСȤο7dzڤ
ȤȽˡС10*2+01217*3
1001*[aaa]7ܿ Ǥ礦
ʤޤǡդǤ
716ڡ 12:14:12 43494
?????
ƻĴ٤ޤޤ

57ܿϡ(3ݾ2) 7ܿ
3οǡ666216̤
3夬7ܿˤʤΤĴ٤ȡ
112,126,133,154,161
224,231,245,252,266
315,322,336,343,364
413,434,441,455,462
511,525,532,546,553
616,623,644,651,665
Ȥʤꡢ6530̤
7ܿǤʤΤ 21630186̤

3夬7ܿΤȤ27ܿ
27ܿϡ14,21,35,42,56,63 6̤ ʤΤǡ306180̤

3夬7ܿǤϤʤȤ3Ⱦ27dzä;꤬Ʊ
2οˤĤĴ٤ȡ
;꤬1ˤʤΤϡ15,22,36,43,64
;꤬2ˤʤΤϡ16,23,44,51,65
;꤬3ˤʤΤϡ24,31,45,52,66
;꤬4ˤʤΤϡ11,25,32,46,53
;꤬5ˤʤΤϡ12,26,33,54,61
;꤬6ˤʤΤϡ13,34,41,55,62
Ȥʤꡢɤ 5̤ ʤΤǡ1865930̤

碌ơ1809301110̤

(;꤬6ˤʤϳ餷ƤΤɲõޤ)

716ڡ 17:29:57 43495
ʪ
cǤǤ
http://ideone.com/4aRaiw


https://docs.google.com/forms/d/13ClCmMDwgrtn8PHTz1a9ddJJ88zIZasL-J9OAcROMQs/viewform

716ڡ 12:29:18 43496
ǯ
#43493Mr.ǥ󡣤꤬Ȥޤ
1001=7*143ˤʤäƤΤǤ...ʤۤɡ
716ڡ 12:32:23 43497
ʪ
#43475>ץǤ
http://ideone.com/3Xabiq

6^5/7Ǥ
716ڡ 12:36:35 43499
ɥ
ˤϡ
6^5/7ΡǧѥץǤ
#include<stdio.h>

int main(void) {
int a,b,c,d,e,count;
for(a = 1;a <= 6;a++) {
for(b = 1;b <= 6;b++) {
for(c = 1;c <= 6;c++) {
for(d = 1;d <= 6;d++) {
for(e = 1;e <= 6;e++) {
if((a * 10000 + b * 1000 + c * 100 + d * 10 + e) % 7 == 0) {
count++;
}
}
}
}
}
}

printf("%d\n",count);
return 0;
}
716ڡ 12:54:34 MAIL:ouchimodoki@gmail.com 43500
uchinyan
Ϥˤϡơϡ
ñǤʤʤȻפޤʴǡ

(ˡ1)
øݤǤɤˤʤˡǤ
1 77777 77777 ĤΤ 11111 Ĥ 7 ܿǤƤ 7 ܿϼ 7 Ƕ¤Ǥޤ
ǡ1 6 Υɤ 5 示ĤΤǤ餫 5 γƷο 1 6 ͳ˼ޤ
ǸĿ 6 * 6 * 6 * 6 * 6 Ĥǡ7 ܿνиλϼ 7 Ƕ˽и 1 77777 ΰʤΤǡ
褽11111 * (6 * 6 * 6 * 6 * 6)/77777 = (6 * 6 * 6 * 6 * 6)/7 = 1110 ; 6 ġ٤Ǥ
ĿʤΤǡ1110 1111 ĤǤդ 7 ܿ 77777 Ƥդ
⤽ĤȤϤʤΤǡĿ϶ΤϤǡ1110 ġˤʤޤ

(ˡ2)
ݤˡǤ
ޤ1 6 Υɤ 5 示ĤΤǤ餫 5 γƷο 1 6 ͳ˼ޤ
Τ 7 ܿθĿ 5 ʤΤ A5 ĤȤޤ
5 ο 5 * 10000 ȻĤβ 4 ʬޤȡ
10000/7 = 1428 ; 420000/7 = 2857 ; 130000/7 = 4285 ; 5
40000/7 = 5714 ; 250000/7 = 7142 ; 660000/7 = 8571 ; 3ʤΤǡ
4 Τ 7 ܿǤʤΤȤޤȤ߹碌в 4 1 ĤФ 1 Ĥ 5 7 ܿޤ
ĤޤꡤA5 = 4 Τ 7 ܿǤʤΤθĿǤ
ǡ 4 Τ 7 ܿ A4 ĤȤС
A5 + A4 = 4 Τ 7 ܿǤʤΤθĿ + A4 = 4 θĿ = 6 * 6 * 6 * 6
4 ˤĤƤ⡤4 * 1000 ȻĤβ 3 塤ʬƱͤ˹ͤˡ 3 塤 2 塤ȷ֤ȡ
A4 + A3 = 6 + 6 + 6A3 + A2 = 6 * 6A2 + A1= 6Ǥ
ǡA1 = 0 ʤΤǡ
A2 = 6 - A0 = 6
A3 = 6 * 6 - A2 = 36 - 6 = 30
A4 = 6 * 6 * 6 - A3 = 216 - 30 = 186
A5 = 6 * 6 * 6 * 6 - A4 = 1296 - 186 = 1110
ĤޤꡤĿ 1110 Ĥˤʤޤ

(ˡ3)
θѤˡǤ
ޤ1 6 Υɤ 5 示ĤΤǤ餫 5 γƷο 1 6 ͳ˼ޤ
ǡ⤷ 1 7 ȤȤǤ顤 4 򤦤ޤɬ 7 ܿޤ
ơξ 7 ܿθĿϾ 4 θĿƱǡ6 * 6 * 6 * 6 ġǤ
ºݤˤϲ 1 7 ϻȤʤΤǤޤϾ 4 夬 7 ܿȤʤǤ
ΤˡۤɤƱͤˡ 4 β 1 7 ȤС
Ʊͤˤơ 3 θĿ 6 * 6 * 6 Ĥǡޤ
ȤϤ 7 ϻȤʤΤǤʬ 3 夬 7 ܿθĿ­ޤ
Ʊͤ˾ 3 β 1 7 ȤС 2 θĿ 6 * 6 ĤǤ­櫓Ǥ
Ϥ 7 ȤʤΤǡ 2 夬 7 ܿθĿ = 6 ġޤ
䤳Ǥɡ
Ŀ
= 6 * 6 * 6 * 6 - 6 * 6 * 6 + 6 * 6 - 6
= 1296 - 216 + 36 - 6
= 1110
ˤʤޤ

(ˡ1)ϡüνޤʵ⤷ޤ7 ܿνиε§ȸĿꡤפǤ礦
(ˡ2)(ˡ3)ϡϰ㤤ޤ¤ǡ(ˡ2)μޤȤƽ񤱤(ˡ3)ƱǤ
7 ɲäƹͤ(ˡ3)ιפ򤤤ΤǤ񤷤ʡ䤳
ĿŪˤ(ˡ2)ͤ䤹Ǥݤͤ˴ƤʤȿɤΤǤ礦
ͥνȡ 717ʶ 13:52:28 43501
(Keigei)
飶ޤǤΥɤ示(6n)äơȤ
ܿ A(n) ̤ȤСܿʳ 6^nA(n) ̤Ǥޤ
ܿʳο10ܤβ줫äУܿȤʤꡢ
ܿ10ܤβäƤ⣷ܿˤʤޤ
äơA(n1)6^nA(n) ˤʤޤ
A(1)0 A(2)606 A(3)36630 A(4)21630186 A(5)12961861110 Ǥ
Ū˲򤱤С
(1)^(n1)A(n1)(1)^nA(n)(6)^n 顢
(1)^nA(n)Ѥγब (6)^n ˤʤꡢ
(6)^k k1 kn1 ¤ȤС
61(6)^(n1)/1(6)ѡ6(6)^n/7 ǤΤǡ
n2 ˤơ(1)^nA(n)(1)^1A(1)ܡ6(6)^n/76(6)^n/7
A(n)6(1)^n6^n/7 ˤʤꡢμ A(1)0 ޤ
äơA(n)6^n6(1)^n/7 Ǥ
A(5)(6^56)/71110 Ǥ
716ڡ 14:10:51 43502
uchinyan
ǼĤɤߤޤ

#43478#43493#43494
ݤͤˡΣ

#43501(ˡ2)#43502
ݤͤˡΣ

#43480#43481#43490#43501(ˡ1)
7 ܿ 7 ǶʬۤƤ뤳ȤȤ˹ͤˡ

#43482#43484#43488#43501(ˡ3)
7 ȤʤɤιפȤ 7 ܿβ­头Ȥ˰­ꤷ䤦ˡ
θѤǤ

#43483
5 ο
5 * 10000 + 4 * 1000 + 3 * 100 + 2 * 10 + 1 * 1
ʬ򤷡ƷФ 7 dzä;꤬ 1 6 Τ٤Ƥ뤳Ȥ顤
5 ĤΥܤ¤ 7 ܿˤʤοȹͤˡ
¾ȤϾ㤦ͤǤ#43501(ˡ2)ȤطʤƱ褦˻פޤ

#43495
7 ܿ = ( - 売) 7 ܿȤäƻĴ٤ˡ

#43473#43474#43477#43486#43491#43500
ץˤˡȤߤʤޤ

ʤ
#43493#43494
111111, 222222, 333333, 444444, 555555, 666666ȤƱ6¤ʤ7dzڤΤǤ礦
ɤơȸƤ⺤ΤǤ1/7 ν۴᤬顤Ȥ⤢꤫ʡ
ͥνȡ 716ڡ 14:47:38 MAIL:uchi@sco.bekkoame.ne.jp 43503
???
k=0
for a=1 to 6
for b=1 to 6
for c=1 to 6
for d=1 to 6
n=10000*a+1000*b+100*c+10*d
e=7-(n mod 7)
k=k-(e<7)
next
next
next
next
msgbox k
717ʶ 11:00:26 43504
Ƿ

aΤܿθĿaĤȤȡʲοΩޤ

5= 6^4-N4
4= 6^3-N3
3= 6^2-N2
2= 6

ϡaΤa-1ޤǤϡư̤Ȥ6̤ǡ줾ΩǤ椫顢a-1夬7ܿǤN(a-1)򺹤ȤǤ뤿Ǥ

äơN5=6^4-(6^3-(6^2-6))=36*36-(216-36+6)=1296-186=1110Ȥʤޤ
717ʶ 15:25:47 43505
ä
ޤǴñ˲򤱤ޤ
ʣߣߣˡܡʣߣߣˡܡʣߣߣߣˡᣱ
722ʿ 7:18:02 43506