[問題] 有趣的組合幾何

[darkseer (公假中)]

同樣上次那個印度朋友(Syed Imam, chaogold好像跟他更熟)給我的

    Let k be a arbitrary real numbers. Prove that the following statement is

true for sufficiently large integer n:

    Let a_1, a_2, ..., a_n be n points lying in a circle of radius kn. There

are two integers 1<=i<j<=n such that the distance of a_i and a_j are smaller

than sqrt(j-i).

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