有没有好办法?

本帖于 2010-10-11 07:58:21 时间, 由普通用户 cma 编辑

The integers a,b,c,d satisfy a>b>c>d and a+b+c+d=2048 and a^2-b^2+c^2-d^2=2048. find the smallest possible value of a.

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a=514,b=513,c=511 and d=510,I want to quit any anwser,but I can -jinjing- 给 jinjing 发送悄悄话 (44 bytes) () 10/11/2010 postreply 11:40:42

Actually, a>513 -AnaZhang- 给 AnaZhang 发送悄悄话 AnaZhang 的博客首页 (124 bytes) () 10/11/2010 postreply 14:28:43

Thank you ,you are smart. I give the total solutions for you. -jinjing- 给 jinjing 发送悄悄话 (95 bytes) () 10/12/2010 postreply 10:32:48

a=513+n,b=513+n-1 c=513-n-1 and d=513-n-2. 1<=n<=511. I lik -皆兄弟也- 给 皆兄弟也 发送悄悄话 皆兄弟也 的博客首页 (0 bytes) () 10/12/2010 postreply 15:33:34

Thanks.For integer,I draw a snake with feet. 1<=n, OK. -jinjing- 给 jinjing 发送悄悄话 (0 bytes) () 10/12/2010 postreply 16:21:40

回复:a=514,b=513,c=511 and d=510,I want to quit any anwser,but I -cma- 给 cma 发送悄悄话 (17 bytes) () 10/11/2010 postreply 16:00:15

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