作者pikahacker (死亡笔记 型电脑)
看板IMO_Taiwan
标题[问题] Dumb questions
时间Fri Oct 8 08:58:04 2004
1. Prove that there exists a UNIQUE function f from set R+ to R+ such that
f(f(x))=6x-f(x)
2. For every n in Z+, let Rn be the minimum value of |c-d*3^(1/2)| for all
nonnegative integers c and d with c+d=n. Find, with proof, the smallest
positive real number g with Rn < or = g for all n in Z+.
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1F：推 darkseer:这是? 220.143.120.35 10/08
2F：推 pikahacker:Putnam1988,做了半天被这两题卡住@___@" 128.12.47.33 10/09