有没有好办法？

cma 2010-10-11 07:55:08 ( reads)

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.

跟帖(6)

a=514,b=513,c=511 and d=510,I want to quit any anwser,but I can

Actually, a>513

Thank you ,you are smart. I give the total solutions for you.

a=513+n,b=513+n-1 c=513-n-1 and d=513-n-2. 1<=n<=511. I lik

Thanks.For integer,I draw a snake with feet. 1<=n, OK.

回复：a=514,b=513,c=511 and d=510,I want to quit any anwser,but I