¥´¥ó¤È¤â
½½¿ÊBasic¤Ç¡¡Í­Íý¿ô¥â¡¼¥É¤Ç

FOR a=1 to 9
FOR b=1 to 9
if b=a then goto 80
FOR c=b+1 to 9
if c=a or c=b then goto 70
FOR d=1 TO 9
if d=a or d=b or d=c then goto 60
FOR e=0 to 9
if e=a or e=b or e=c or e=d then goto 50
FOR f=1 TO 9
if f=a or f=b or f=c or f=d or f=e then goto 40
FOR g=0 to 9
if g=a or g=b or g=c or g=d or g=e or g=f then goto 30
FOR h=0 to 9
if h=a or h=b or h=c or h=d or h=e or h=f or h=g then goto 20
IF gcd(a,6)=1 AND gcd(b,10*d+e)=1 AND gcd(c,10^2*f+10*g+h)=1 AND a*e*h+10*a*d*h-6*b*h+10*a*e*g+100*a*d*g-60*b*g+100*a*e*f+1000*a*d*f-600*b*f-6*c*e-60*c*d=0 AND 6*(d+10*c)*(h+10*g+100*f)<>0 THEN PRINT 10^7*a+10^6*b+10^5*c+10^4*d+10^3*e+10^2*f+10*g+h
20 next h
30 next g
40 next f
50 next e
60 next d
70 next c
80 next b
90 NEXT a
END

f9²¡¤·¤Æ¡¡16743258¡¦¡¦¡¦¡¦¡¦¡¦(Åú¤¨)
Ë­Àî»Ô¡¡¡¡ 5·î26Æü¡ÊÌÚ¡Ë 0:34:14¡¡¡¡ MAIL:fttnm528@ybb.ne.jp ¡¡¡¡51540
·¾ÁôÅÚ¤ÎÂçÌÚ
´ûÌóʬ¿ô¤Ë¤Ê¤ë¤Î¤Ï 1/6 = 6/43 + 7/258 ¤Î 1 ¤Ä¤Ç¡¢´ûÌó¤Ë¸Â¤é¤Ê¤±¤ì¤Ð¤µ¤é¤Ë 1/6 = 5/32 + 9/864 = 6/42 + 9/378 = 8/57 + 9/342 ¤Î 3 ¤Ä¤¬¤¢¤ë¤è¤¦¤Ë»×¤¤¤Þ¤¹
¡¡¡¡ 5·î26Æü¡ÊÌÚ¡Ë 0:38:19¡¡¡¡ ¡¡¡¡51541
¥´¥ó¤È¤â
#51541

´ûÌó¤Ë¸Â¤é¤Ê¤±¤ì¤Ð¤Ç
1/6=4/26+5/390,1/6=6/45+9/270,3/6=7/15+8/240
¤â¤¢¤ë¤È»×¤¤¤Þ¤¹¤¬¡¦¡¦¡¦
Ë­Àî»Ô¡¡¡¡ 5·î26Æü¡ÊÌÚ¡Ë 1:04:25¡¡¡¡ MAIL:fttnm528@ybb.ne.jp ¡¡¡¡51542
¤¤¤Á¤´¤ß¤ë¤¯
#include <bits/stdc++.h>
using namespace std;
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
vector<int>v = { 0,1,2,3,4,5,6,7,8,9 };
do {
if (0 == v[2])continue;
if (0 == v[5])continue;
if (v[1] > v[4])continue;
if (v[8] > v[9])continue;
int a = v[0];
int b = 6;
int c = v[1];
int d = 10 * v[2] + v[3];
int e = v[4];
int f = 100 * v[5] + 10 * v[6] + v[7];
if (a * d * f == c * b *f + b * d* e) {
cout << a << "/" << b << "," << c << "/" << d << "," << e << "/" << f << endl;
}
} while (next_permutation(v.begin(), v.end()));
return 0;
}
¡¡¡¡ 5·î26Æü¡ÊÌÚ¡Ë 1:06:46¡¡¡¡ ¡¡¡¡51543
¤¤¤Á¤´¤ß¤ë¤¯
1/6,4/26,5/390
1/6,5/32,9/864
1/6,6/42,9/378
1/6,6/43,7/258
1/6,6/45,9/270
1/6,8/57,9/342
3/6,7/15,8/240
¤¤¤Ã¤Ñ¤¤¤¢¤ê¤Þ¤¹¤Í¡£
¡¡¡¡ 5·î26Æü¡ÊÌÚ¡Ë 1:06:56¡¡¡¡ ¡¡¡¡51544
·¾ÁôÅÚ¤ÎÂçÌÚ
#51542

¤¢¡¢1¥±¥¿¤ÎÀ°¿ô¤È¤¤¤¦¤Î¤Ç0¤ò½ü³°¤·¤Æ¤¤¤Þ¤·¤¿(³Î¤«¤Ë¥¯¤Ï1¥±¥¿¤ÎÀ°¿ô¤È¸À¤ï¤ì¤Æ¤¤¤Þ¤»¤ó¤Í¡Ä)
¡¡¡¡ 5·î26Æü¡ÊÌÚ¡Ë 1:07:34¡¡¡¡ ¡¡¡¡51545
¤¤¤Á¤´¤ß¤ë¤¯
¥¢¡Á¥­¤Ë¤Ï¤È½ñ¤¤¤Æ¤¤¤ë¤Î¤Ï²¼µ­´Ö°ã¤¨¤À¤È»×¤¤¤Þ¤¹¡£
0¤Ï´Þ¤á¤Ê¤¤¤Î¤¬Àµ¤·¤¤²ò¼á¤À¤È
¡¡¡¡ 5·î26Æü¡ÊÌÚ¡Ë 1:20:31¡¡¡¡ ¡¡¡¡51546
º£Ç¯¤«¤é¹âÎð¼Ô
¤³¤ÎÌäÂê¤Î¤Þ¤Þ¤À¤ÈÊ£¿ô¤Î²ò¤Ë¤Ê¤ê¤Þ¤¹¤¬
¡Ö¤³¤Îʬ¿ô¼°¤Ï¡¢£±¤«¤é£¹¤Þ¤Ç¤Î¤¹¤Ù¤Æ°Û¤Ê¤ëÀ°¿ô¤ÇÀ®Î©¤·¤Æ¤¤¤ë¡×
¤È¤¹¤ì¤Ð¡¢Åú¤¨¤Ï£±¤Ä¤Ç¤¹¤Í¡££¶¤ò´Þ¤á¤Æ¤Á¤ç¤¦¤É£¹¤Ä¡£
¡¡¡¡ 5·î26Æü¡ÊÌÚ¡Ë 1:32:21¡¡¡¡ ¡¡¡¡51547
SECOND
¤½¤Î¤è¤¦¤Ç¤¹¤Í¡¢¡¢¥³¥Î·Ç¼¨ÈĤˤâ¡Ö£¶¡×¤ò´Þ¤Þ¤Ê¤¤£¸·å£±¤Ä¡¡¤·¤«Æþ¤ì¤Þ¤»¤ó¤Ç¤·¤¿¡£
¡¡¡¡ 5·î26Æü¡ÊÌÚ¡Ë 1:44:43¡¡¡¡ ¡¡¡¡51548
¥Þ¥µ¥ë
¤¹¤ß¤Þ¤»¤ó¡¢¥¢&#12316;¥¯¤È¤¹¤ë¤È¤³¤í¤ò¡¢´Ö°ã¤Ã¤Æ¤·¤Þ¤¤¤Þ¤·¤¿¡£m(_ _)m

¤½¤ì¤Ë¤è¤ëÊ̲ò¤â¤¢¤ë¤è¤¦¤Ê¤Î¤Ç¡¢Àµ²ò¥Õ¥¡¥¤¥ë¤È·Ç¼¨ÈĤؤΥѥ¹¥ï¡¼¥É¤ò½ñ¤­´¹¤¨¤Þ¤·¤¿¡£¿½¤·Ìõ¤¢¤ê¤Þ¤»¤ó¡£
¼«Âð¡¡¡¡ 5·î26Æü¡ÊÌÚ¡Ë 3:03:08¡¡¡¡ HomePage:ARENA¡¡¡¡51549
Taro
1 4 5 2 6 3 9 0
1 5 9 3 2 8 6 4
1 6 7 4 3 2 5 8
1 6 9 4 2 3 7 8
1 6 9 4 5 2 7 0
1 8 9 5 7 3 4 2
3 7 8 1 5 2 4 0
¡¡¡¡ 5·î26Æü¡ÊÌÚ¡Ë 6:12:12¡¡¡¡ ¡¡¡¡51550
Taro
#51542
ʬ»Ò0¤ò¹Í¤¨¤Ê¤±¤ì¤Ð8Ä̤ê¤Ç¤·¤ç¤¦¤«

FOR a=1 TO 5
FOR b=1 TO 9
FOR c=b+1 TO 9
FOR d=1 TO 9
FOR e=0 TO 9
FOR f=1 TO 9
FOR g=0 TO 9
FOR h=0 TO 9
IF a=b THEN 100
IF a=c THEN 100
IF a=d THEN 100
IF a=e THEN 100
IF a=f THEN 100
IF a=g THEN 100
IF a=h THEN 100
IF b=d THEN 100
IF b=e THEN 100
IF b=f THEN 100
IF b=g THEN 100
IF b=h THEN 100
IF c=d THEN 100
IF c=e THEN 100
IF c=f THEN 100
IF c=g THEN 100
IF c=h THEN 100
IF d=e THEN 100
IF d=f THEN 100
IF d=g THEN 100
IF d=h THEN 100
IF e=f THEN 100
IF e=g THEN 100
IF e=h THEN 100
IF f=g THEN 100
IF f=h THEN 100
IF g=h THEN 100
LET z=ABS(a/6-b/(d*10+e)-c/(100*f+10*g+h))
IF z<0.000001 THEN PRINT a;b;c;d;e;f;g;h
100 NEXT H
NEXT G
NEXT F
NEXT E
NEXT D
NEXT C
NEXT B
NEXT A
END
¡¡¡¡ 5·î26Æü¡ÊÌÚ¡Ë 6:14:09¡¡¡¡ ¡¡¡¡51552
ºÇ¸å¤Î¼êÉÁ¤­¿ÞÌÌ¿¦¿Í
¥Ñ¥¤¥½¥ó¥×¥í¥°¥é¥à¤Ç²ò¤¤¤Æ¤ß¤Þ¤·¤¿¡£¥×¥í¥°¥é¥à¤Ï
added1=[]
added2=[]
added3=[]
added4=[]
added5=[]
added6=[]
added7=[]
added8=[]
for a in range(1,10):
¡¡¡¡for b in range(1,10):
¡¡¡¡¡¡¡¡for c in range(1,10):
¡¡¡¡¡¡¡¡¡¡¡¡for d in range(1,10):
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡for e in range(1,10):
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡for f in range(1,10):
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡for g in range(1,10):
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡for h in range(1,10):
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡if a/6==(b/(10*d+e))+(c/(100*f+10*g+h)) and a!=b and a!=c and a!=d and a!=e and a!=f and a!=g and a!=h and b!=c and b!=d and b!=e and b!=f and b!=g and b!=h and c!=d and c!=e and c!=f and c!=g and c!=h and d!=e and d!=f and d!=g and d!=h and e!=f and e!=g and e!=h and f!=g and f!=h and g!=h and b<c:
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added1.append(a)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added2.append(b)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added3.append(c)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added4.append(d)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added5.append(e)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added6.append(f)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added7.append(g)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added8.append(h)
print('¥¢=',added1)
print('¥¤=',added2)
print('¥¦=',added3)
print('¥¨=',added4)
print('¥ª=',added5)
print('¥«=',added6)
print('¥­=',added7)
print('¥¯=',added8)
¤³¤Î¥×¥í¥°¥é¥à¤òÁö¤é¤»¤ë¤È¡¢²ò¤Ï4Ä̤ê¤Ç¤¹¡£
¡¡¡¡ 5·î26Æü¡ÊÌÚ¡Ë 10:51:53¡¡¡¡ ¡¡¡¡51553
Mr.¥À¥ó¥Ç¥£
¾¤Î¿Í¤¬»ØŦ¤µ¤ì¤Æ¤¤¤ë¤è¤¦¤Ë¡¡6¤¬´Þ¤Þ¤ì¤Æ¤â¤è¤¤¤â¤Î¤È¤·¤Æ¹Í¤¨¡¡ºòÌë¤Ï¡¡
1/6¡á6/43+7/258
¤È¤·¤Æ²¿¸ÎÀµ²ò¤Ë¤Ê¤é¤Ê¤¤¤Î¤«¤È»×¤¤¤Ê¤¬¤é¾²¤Ë½¢¤­¤Þ¤·¤¿¡£
¤â¤·¤ä¡¡6°Ê³°¤Ç¤È¤¤¤¦¤Î¤¬Âê°Õ¤Ç¤Ï¤È»×¤¤¡¡¹Í¤¨Ä¾¤·
18957342¡¡¤È¤¤¤¦ÃͤòÆÀ¤Æ¤³¤³¤ËÆþ¤ì¤Þ¤·¤¿¡£
(´ûÌóʬ¿ô¤Ç¤Ê¤¯¤È¤â¤è¤¤¤È¤¤¤¦¤È¤³¤í¤âÌÕÅÀ¤Ç¤·¤¿¤Í¡Ë
¡¡¡¡ 5·î26Æü¡ÊÌÚ¡Ë 11:14:38¡¡¡¡ ¡¡¡¡51554
J¥Þ¥Þ
Åú¤¨¤¬7Ä̤ê½Ð¤Æ¡¢²òÅúÍó¤Ë¤ª¤µ¤Þ¤é¤ºº¤¤Ã¤Æ¤Þ¤·¤¿¡£²ò¤­Êý¤âÊѤǡ¢
¥¦-¥¤=k, ¥¨¥ª=x, ¥«¥­¥¯=y¤È¤¹¤ë¤È
{¥¢¡ßx-6(¥¦-k)}{y-6¡ß¥¦/¥¢}=36¡ß¥¦(¥¦-k)/¥¢
¤È¤Ê¤ë¤Î¤Ç
¥¢=5,4,3,2,1
¥¦=9,8,7,6,5,4¡Ä
k=1,2,3,4,5,6,7
¤Î¤Û¤ÜÁíÅö¤ê¤Çõ¤·¤Þ¤·¤¿¡£
¼°¤¬À°¿ô¤Ë¤Ê¤é¤Ê¤¤¤â¤Î¡¢¥¢,¥¤,¥¦¤ÈƱ¤¸¿ô¤¬½Ð¤ë¤â¤Î¤Ê¤ÉÈô¤Ð¤·¤Þ¤·¤¿¤¬ÂçÊѤʻþ´ÖÅ¥ËÀ¤Ç¤·¤¿¡£¾Ð
Åú
14526390
15932864
16743258
16942378
16945270
18957342
37815240

¤É¤¦²ò¤¯¤ÈÁ᤯¤Ê¤ë¤Î¤Ç¤¹¤«¡©¶µ¤¨¤Æ²¼¤µ¤¤¤Þ¤»¡£
¡¡¡¡ 5·î26Æü¡ÊÌÚ¡Ë 12:50:17¡¡¡¡ ¡¡¡¡51557
¥¹¥â¡¼¥¯¥Þ¥ó
0,6¤Ï»È¤¨¤Ê¤¤¤È¹Í¤¨¤Æ¤â¤¹¤°¤ï¤«¤é¤º...
Àè¤Û¤É¡¢º¸ÊÕ=1/6, 9/¡ö¡ö¡ö¤È·è¤áÂǤÁ¤Ç¹¶¤á¤Þ¤·¤¿¤é...
9/342=1/38
1/6-1/38=32/228=8/57
¤È¾¯¤Ê¤¯¤È¤â°ì¤Äµá¤Þ¤ê¤Þ¤·¤¿...^^
¤³¤ì°Ê³°¤Ê¤¤¤³¤È¤Ï¤ï¤«¤ê¤Þ¤»¤ó ^^;

¤³¤ì¤Ï¥×¥í¥°¥é¥àÌä¤Ç¤·¤¿¤Î¤Ç¤·¤ç¤¦¤«¤·¤é¤ó...
¡¡¡¡ 5·î26Æü¡ÊÌÚ¡Ë 13:12:51¡¡¡¡ ¡¡¡¡51558
ºÇ¸å¤Î¼êÉÁ¤­¿ÞÌÌ¿¦¿Í
¥×¥í¥°¥é¥à¤òÊѹ¹¤·¤Þ¤¹¡£¤¼¤í¤ÏÀ°¿ô¤Ê¤Î¤Ç¥¼¥í¤â´Þ¤á¤Ê¤±¤ì¤Ð¤Ê¤ê¤Þ¤»¤ó¡£
added1=[]
added2=[]
added3=[]
added4=[]
added5=[]
added6=[]
added7=[]
added8=[]
for a in range(10):
¡¡¡¡for b in range(10):
¡¡¡¡¡¡¡¡for c in range(10):
¡¡¡¡¡¡¡¡¡¡¡¡for d in range(10):
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡for e in range(10):
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡for f in range(10):
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡for g in range(10):
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡for h in range(10):
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡if (10*d+e)!=0 and (100*f+10*g+h)!=0 and a/6==(b/(10*d+e))+(c/(100*f+10*g+h)) and a!=b and a!=c and a!=d and a!=e and a!=f and a!=g and a!=h and b!=c and b!=d and b!=e and b!=f and b!=g and b!=h and c!=d and c!=e and c!=f and c!=g and c!=h and d!=e and d!=f and d!=g and d!=h and e!=f and e!=g and e!=h and f!=g and f!=h and g!=h and b<c:
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added1.append(a)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added2.append(b)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added3.append(c)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added4.append(d)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added5.append(e)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added6.append(f)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added7.append(g)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added8.append(h)
print('¥¢=',added1)
print('¥¤=',added2)
print('¥¦=',added3)
print('¥¨=',added4)
print('¥ª=',added5)
print('¥«=',added6)
print('¥­=',added7)
print('¥¯=',added8)
¤³¤Î¥×¥í¥°¥é¥à¤òÁö¤é¤»¤ë¤È¡¢²ò¤Ï40Ä̤ê¤Ç¤¹¡£
¡¡¡¡ 5·î26Æü¡ÊÌÚ¡Ë 13:53:37¡¡¡¡ ¡¡¡¡51559
¤í¤í
Êý¿Ë¤¬¤Ê¤«¤Ê¤«Î©¤¿¤º¡¢Ê¬Êì¤Î¤É¤Á¤«¤é¤¬£²¤ÎÇÜ¿ô¡¢¤â¤¦°ìÊý¤¬£³¤ÎÇÜ¿ô¤Ç¤ä¤í¤¦¤«¤È»×¤Ã¤¿¤â¤Î¤Î¡¢¤½¤ÎÀ褬ÅÓÊý¤â¤Ê¤¯´¶¤¸¤é¤ì¤¿¤Î¤Ç¡¢£²·å¤ÎÊý¤òǤ°Õ¤Î¿ô¡Ê¥¨¥ª¡Ë¡¢£³·å¤ÎÊý¤ò6¡ß¡Ê¥¨¥ª¡Ë¤È·è¤á¤Æ¡¢Ê¬»Ò¤ÎÉôʬ¤¬¡Ê£¶¡ß¥¤+¥¦¡Ë¤¬¡Ê¥¨¥ª¡Ë¤Ç³ä¤êÀÚ¤ì¤ë¤â¤Î¤òõ¤½¤¦¤«¤é»Ï¤á¤Þ¤·¤¿¡£
£¶¤ÎÇÜ¿ô¤¬£³·å¤Ë¤Ê¤ê¡¢Æ±¤¸¿ô¤¬»È¤ï¤ì¤Æ¤¤¤Ê¤¤¤â¤Î¤«¤é½ç¤Ë»î¤·¤Æ¤ß¤Þ¤·¤¿¡£
¤Þ¤º¡Ê¥¨¥ª¡Ë¡á29¡¡¡Ê¥«¥­¥¯¡Ë¡á174¡¡¤Ë¤¹¤ë¤È
¥¤¡á4¡¡¥¦¡á5¡¡¤Ç£´¤¬½ÅÊ£¤Ç¥À¥á
¤³¤¦¤·¤Æõ¤·¤Æ¤¤¤¯¤È¡¢¡Ê¥¨¥ª¡Ë¡á43¡¡¡Ê¥«¥­¥¯¡Ë¡á258
¤¬¤¦¤Þ¤¯¤¤¤Ã¤¿¤Î¤Ç¡¢½ÐÍ褿¤È»×¤¤²óÅú¤òÁ÷¤ê¤Þ¤·¤¿¤¬·Ç¼¨ÈĤËÆþ¤ì¤º¡¢¥¤¡á6¤Ê¤Î¤¬¥À¥á¤Ê¤Î¤«¤â¤·¤ì¤Ê¤¤¤È¡¢ºÆÅÙ³¤±¤Æõ¤·¤Æ¡¢¡Ê¥¨¥ª¡Ë¡á57¡¡¡Ê¥«¥­¥¯¡Ë¡á342¡¡¤Ç·Ç¼¨ÈĤËÆþ¤ì¤Þ¤·¤¿¡£¤³¤ì°Ê¾åõ¤¹¤ÎÂçÊѤʤΤÇÊ̲òõº÷¤Ï¤¢¤­¤é¤á¤Þ¤·¤¿¡£
¡¡¡¡ 5·î26Æü¡ÊÌÚ¡Ë 14:19:57¡¡¡¡ ¡¡¡¡51560
ºÇ¸å¤Î¼êÉÁ¤­¿ÞÌÌ¿¦¿Í
¥¢¤«¤é¥¯¤ÎÀ°¿ô¤Ë6¤Ï´Þ¤Þ¤Ê¤¤¤Î¤À¤«¤é¾ò·ï¤òÄɲä·¤Þ¤¹¡£if¤Î¸å¤Ë¡¢a!=6 and b!=6 and c!=6 and d!=6 and e!=6 and f!=6 and g!=6 and h!=6¤òÁÞÆþ¤·¤Þ¤¹¡£
¡¡¡¡ 5·î26Æü¡ÊÌÚ¡Ë 15:04:20¡¡¡¡ ¡¡¡¡51561
¥Ù¥ë¥¯¡¦¥«¥Ã¥Ä¥§
ÄûÀµÁ°¤Î¾ò·ï¤Ç58910270¤È¤·¤Þ¤·¤¿¡£
ÄûÀµ¤µ¤ì¤¿¤Î¤Ç²þ¤á¤Æ¹Í¤¨¤Æ¤ß¤Þ¤¹¡£
¡¡¡¡ 5·î26Æü¡ÊÌÚ¡Ë 15:11:28¡¡¡¡ ¡¡¡¡51562
ºÇ¸å¤Î¼êÉÁ¤­¿ÞÌÌ¿¦¿Í
¾ò·ï¤òÄɲ䷤Ƥ⡢²ò¤Ï10¸Ä¤¢¤ê¤Þ¤¹¡£
¡¡¡¡ 5·î26Æü¡ÊÌÚ¡Ë 15:16:07¡¡¡¡ ¡¡¡¡51563
ºÇ¸å¤Î¼êÉÁ¤­¿ÞÌÌ¿¦¿Í
¾ò·ï¤òÄɲä·¤¿¥×¥í¥°¥é¥à¤Ï
import math
added1=[]
added2=[]
added3=[]
added4=[]
added5=[]
added6=[]
added7=[]
added8=[]
for a in range(10):
¡¡¡¡for b in range(10):
¡¡¡¡¡¡¡¡for c in range(10):
¡¡¡¡¡¡¡¡¡¡¡¡for d in range(10):
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡for e in range(10):
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡for f in range(10):
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡for g in range(10):
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡for h in range(10):
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡if (10*d+e)!=0 and (100*f+10*g+h)!=0 and math.gcd(b,(10*d+e))==1 and math.gcd(c,(100*f+10*g+h))==1 and a/6==(b/(10*d+e))+(c/(100*f+10*g+h)) and a!=b and a!=c and a!=d and a!=e and a!=f and a!=g and a!=h and b!=c and b!=d and b!=e and b!=f and b!=g and b!=h and c!=d and c!=e and c!=f and c!=g and c!=h and d!=e and d!=f and d!=g and d!=h and e!=f and e!=g and e!=h and f!=g and f!=h and g!=h and a!=6 and b!=6 and c!=6 and d!=6 and e!=6 and f!=6 and g!=6 and h!=6 and b<c:
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added1.append(a)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added2.append(b)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added3.append(c)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added4.append(d)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added5.append(e)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added6.append(f)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added7.append(g)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added8.append(h)
print('¥¢=',added1)
print('¥¤=',added2)
print('¥¦=',added3)
print('¥¨=',added4)
print('¥ª=',added5)
print('¥«=',added6)
print('¥­=',added7)
print('¥¯=',added8)
²ò¤Ï1¤Ä¤Ë¡¢¤Ê¤ê¤Þ¤·¤¿¤¬14539078¤Ç¤¹¡£
¡¡¡¡ 5·î26Æü¡ÊÌÚ¡Ë 16:52:34¡¡¡¡ ¡¡¡¡51564
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Ʊ¤¸¤¯¡¢Äɲ䵤줿¾ò·ï¤Ç¤Ï(0¤â1¥±¥¿¤ÎÀ°¿ô¤Ë´Þ¤à¤È¤·¤Æ) 14539078 (1/6=4/39+5/078) ¤Î¤ß¤Ë¤Ê¤ê¤Þ¤·¤¿¡£
¥×¥í¥°¥é¥à¤ÏC++20¤Ç¤³¤Î¤è¤¦¤Ë

#include <vector>
#include <algorithm>
#include <numeric>
#include <cstdio>
#include <ranges>

int main(){
std::vector<int> numbers{0, 1, 2, 3, 4, 5, 7, 8, 9};
do{
const auto ¥¢{numbers[0]}, ¥¤{numbers[1]}, ¥¦{numbers[2]}, ¥¨{numbers[3]}, ¥ª{numbers[4]}, ¥«{numbers[5]}, ¥­{numbers[6]}, ¥¯{numbers[7]};
if(¥¤ > ¥¦)std::reverse(numbers.begin() + 3, numbers.end());
const auto ¥¨¥ª{¥¨ * 10 + ¥ª};
const auto ¥«¥­¥¯{¥« * 100 + ¥­ * 10 + ¥¯};
const auto is_´ûÌó{std::gcd(¥¢, 6) == 1 && std::gcd(¥¤, ¥¨¥ª) == 1 && std::gcd(¥¦, ¥«¥­¥¯) == 1};
if(is_´ûÌó && ¥¢ * ¥¨¥ª * ¥«¥­¥¯ == 6 * ¥¤ * ¥«¥­¥¯ + 6 * ¥¨¥ª * ¥¦){
for(const auto x : numbers | std::views::take(8))std::printf("%d", x);
std::printf(" : %d/6 = %d/%d%d + %d/%d%d%d\n", ¥¢, ¥¤, ¥¨, ¥ª, ¥¦, ¥«, ¥­, ¥¯);
}
std::reverse(numbers.begin() + 8, numbers.end());
}while(std::ranges::next_permutation(numbers).found);
return 0;
}
¡¡¡¡ 5·î26Æü¡ÊÌÚ¡Ë 17:51:33¡¡¡¡ ¡¡¡¡51565
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!ºîɽ¤Ë»ÈÍѤ·¤¿½½¿ÊBASIC¥×¥í¥°¥é¥à

OPTION ARITHMETIC RATIONAL
LET n=10
LET r=8
DIM a(n+2)
DATA 0,1,2,3,4,5,6,7,8,9,0,0
MAT READ a
LET t0=TIME
CALL perm20(1) ! 0¡Á9 ¤Î10¸Ä¤«¤é¡¢8¸Ä¤Î¡Ö½çÎó¡×¤òŸ³«¤¹¤ë¡£
PRINT USING "!½ªÎ»¡¡###.##sec":TIME-t0

SUB perm20(k) !start CALL perm20(1)
local i
IF k<=r THEN
FOR i=k TO n
swap a(k),a(i)
CALL perm20(k+1)
swap a(k),a(i)
NEXT i
ELSE
LET w2=a(4)*10+a(5)
LET w3=a(6)*100+a(7)*10+a(8)
IF a(1)/6=a(2)/w2+a(3)/w3 AND a(2)< a(3) THEN
LET a(11)=a(11)+1
LET a(12)=TIME-t0
IF gcd(a(2),w2)=1 AND gcd(a(3),w3)=1 THEN LET w$="±¦ÊÕ ´ûÌóʬ¿ô" ELSE LET w$="±¦ÊÕ¡ÄÌóʬ²Ä "
MAT PRINT USING "! <<<<<<<< ¡Ä<¤È<¤ò´Þ¤Þ¤º¡£"& w$& "¡¡No_## ###.##sec": a
END IF
END IF
END SUB

END
¡¡¡¡ 5·î27Æü¡Ê¶â¡Ë 7:15:09¡¡¡¡ ¡¡¡¡51570
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import math
added1=[]
added2=[]
added3=[]
added4=[]
added5=[]
added6=[]
added7=[]
added8=[]
for a in range(1,10):
¡¡¡¡for b in range(1,10):
¡¡¡¡¡¡¡¡for c in range(1,10):
¡¡¡¡¡¡¡¡¡¡¡¡for d in range(1,10):
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡for e in range(1,10):
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡for f in range(1,10):
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡for g in range(1,10):
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡for h in range(1,10):
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡if (10*d+e)!=0 and (100*f+10*g+h)!=0 and math.gcd(b,(10*d+e))==1 and math.gcd(c,(100*f+10*g+h))==! and a/6==(b/(10*d+e))+(c/(100*f+10*g+h)) and a!=b and a!=c and a!=d and a!=e and a!=f and a!=g and a!=h and b!=c and b!=d and b!=e and b!=f and b!=g and b!=h and c!=d and c!=e and c!=f and c!=g and c!=h and d!=e and d!=f and d!=g and d!=h and e!=f and e!=g and e!=h and f!=g and f!=h and g!=h and a!=6 and b!=6 and c!=6 and d!=6 and e!=6 and f!=6 and g!=6 and h!=6 and b<c:
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added1.append(a)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added2.append(b)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added3.append(c)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added4.append(d)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added5.append(e)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added6.append(f)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added7.append(g)
¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡added8.append(h)
print('¥¢=',added1)
print('¥¤=',added2)
print('¥¦=',added3)
print('¥¨=',added4)
print('¥ª=',added5)
print('¥«=',added6)
print('¥­=',added7)
print('¥¯=',added8)
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