¥Ñ 142857 ©ó ¬P´Á¤G ¤Q¤G¤ë 11, 2007 3:39 pm
a¬°1ªº¿¼Æ¡A¡ïa¬°¥ô¤@¼Æ¡K¡K¡K(1)
ab¬°2ªº¿¼Æ¡A¡ïb¬°°¸¼Æ¡K¡K¡K(2)
abc¬°3ªº¿¼Æ¡A¡ïa+b+c¬°3ªº¿¼Æ¡K¡K¡K(3)
abcd¬°4ªº¿¼Æ¡A¡ï10c+d¬°4ªº¿¼Æ¡Ad¬°°¸¼Æ¡K¡K¡K(4)
abcde¬°5ªº¿¼Æ¡A¡ïe=5©Î0¡K¡K¡K(5)
abcdef¬°6ªº¿¼Æ¡A¡ïf¬°°¸¼Æ¡Aa+b+c+d+e+f¬°3ªº¿¼Æ¡A¡îa+b+c¬°3ªº¿¼Æ¡A¡ïd+e+f¬°3ªº¿¼Æ¡K¡K¡K(6)
abcdefg¬°7ªº¿¼Æ¡A¡ï¡U(a+100e+10f+g)-(100b+10c+d)¡ý¬°7ªº¿¼Æ (¡ý¡ý¬°“F¹ïÈ )¡K¡K¡K(7)
abcdefgh¬°8ªº¿¼Æ¡A¡ï100f +10g+h¬°8ªº¿¼Æ¡Ah¬°°¸¼Æ¡K¡K¡K(8)
abcdefghi¬°9ªº¿¼Æ¡A¡ïa+b+c+d+e+f+g+h+i¬°9ªº¿¼Æ¡A¡îa+b+c¬°3ªº¿¼Æ¡Ad+e+f¬°3ªº¿¼Æ¡A¡ïg+h+i¬°3ªº¿¼Æ¡K¡K¡K(9)
abcdefghij¬°10ªº¿¼Æ¡A¡ïj=0¡K¡K¡K(10)
¥Ñ(5)©M(10)¥iª¾e=5¡Aj=0¡K¡K¡K(11)
¥Ñ(2)(4)(6)(8)(11)¥iª¾b,d,f,h¬°°¸¼Æ(=2,4,6,8)¡Aa,c,g,i¬°©_¼Æ(=1,3,7,9)¡K¡K¡K(12)
¥Ñ(6)(11)¥iª¾d+5+f=3K(K¬°¾ã¼Æ)¡A¡ïd+f=3K-5=3K1+1(K1¬°¾ã¼Æ)
¥Ñ(12)¥iª¾3K1+1¥i¬°6,8,10,12,14¡A¤S¡îK1¬°¾ã¼Æ¡A¡ï3K1+1=10¡÷d+f=10¡K¡K¡K(13)
¥Ñ(4)(11)(12)¥iª¾10c+d¥i¬°12,16,32,36,72,76,92,96¡A¡ïd=2or6¡K¡K¡K(14)
§â(14)¥N¤J(13)¥i±o·íd=2¡÷f=8¡Ad=6¡÷f=4¡K¡K¡K(15)
¥Ñ(8)(11)(12)(15)
¥iª¾100f +10g+h¥i¯à¬°416,432,472,496,816,872,896¡A¡ïh=2or6¡K¡K¡K(16)
¥Ñ(12)(14)(15)(16)¥i±o(b,f)=(8,4)or(4,8)¡A(d,h)=(2,6)or(6,2)¡K¡K¡K(17)
¥Ñ(7)(11)¥iª¾¡ý(a+100e+10f+g)-(100b+10c+d)¡ý=¡ý[500+10f+(a+g)]-(100b+10c+d)¡ý=7K2
(A)·íb=4¡÷f=8[¥Ñ(17)¥iª¾]¡÷d=2[¥Ñ(15)¥iª¾]¡÷h=6[¥Ñ(17)¥iª¾]
¡ý[500+10f+(a+g)]-(100b+10c+d)¡ý=[500+80+(a+g)]-(400+10c+2)=178+(a+g)-10c=7K2
·íK2=16®É
c=7¡A(a+g)=4¡÷(a,g)=(1,3)or(3,1)¡K¡K¡K(A1)
§âb=4¡Ac=7¥N¤J(3)¥i±oa=1¡A¥N¤J(A1)¥i±og=3¡K¡K¡K(A2)
¥Ñ(12)(A1)(A2)¥i±oi=9
¡ï¦¹¼Æ¬°1472583690
(B)·íb=8¡÷f=4[¥Ñ(17)¥iª¾]¡÷d=6[¥Ñ(15)¥iª¾]¡÷h=2[¥Ñ(17)¥iª¾]
¡ý[500+10f+(a+g)]-(100b+10c+d)¡ý=(800+10c+6)-[500+40+(a+g)]=266+(a+g)-10c=7K2
(¢¹)·íK2=38®É
c=1¡A(a+g)=10¡÷(a,g)=(3,7)or(7,3)¡K¡K¡K(B1)
§âb=8¡Ac=1¥N¤J(3)¥i±oa=3¡A¥N¤J(B1)¥i±og=7¡K¡K¡K(B2)
¥Ñ(12)(B1)(B2)¥i±oi=9
¡ï¦¹¼Æ¬°3816547290
(¢º)·íK2=36®É
c=3¡A(a+g)=16¡÷(a,g)=(7,9)or(9,7)¡K¡K¡K(B3)
§âb=8¡Ac=3¥N¤J(3)¥i±oa=7¡A¥N¤J(B1)¥i±og=9¡K¡K¡K(B4)
¥Ñ(12)(B3)(B4)¥i±oi=1
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