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 Restoring the erased (Posted on 2010-07-14)
The following text represents a valid contest question
in which I have erased one number :

Let S be a set of 20 distinct positive integers,
each less than EN(=THE ERASED NUMBER).
Show that there exist four distinct elements a, b, c, d , all in S,
such that a + b = c + d.

What maximal value of EN guarantees the existence of these elements ?

 Subject Author Date re: kudos broll 2010-07-21 06:58:37 kudos Ady TZIDON 2010-07-20 20:05:22 re: Assurance it is ... broll 2010-07-20 15:17:48 Assurance it is ... Justin 2010-07-20 14:18:14 re: solution for n=12 ed bottemiller 2010-07-20 11:25:49 re: solution for n=12 ASSURANCE Ady TZIDON 2010-07-20 11:22:19 solution for n=12 Justin 2010-07-19 22:36:13 re(4): No Subject FOR ALL SOLVERS Ady TZIDON 2010-07-18 12:41:15 re(3): Low 300s broll 2010-07-17 15:57:22 re(2): Low 300s ?? Justin 2010-07-17 14:24:12 re: Low 300s ?? broll 2010-07-17 09:05:23 Low 300s ?? ed bottemiller 2010-07-16 20:06:42 re: running some numbers ... ed bottemiller 2010-07-16 15:00:13 running some numbers ... Justin 2010-07-16 00:53:57 re(3): No Subject ed bottemiller 2010-07-15 21:25:30 re(2): No Subject broll 2010-07-15 17:16:16 re: No Subject ed bottemiller 2010-07-15 12:30:53 No Subject broll 2010-07-15 04:58:26 re(2): High-Low-Jack... ed bottemiller 2010-07-14 20:20:58 re: High-Low-Jack... Dej Mar 2010-07-14 16:48:22 High-Low-Jack... ed bottemiller 2010-07-14 13:07:36

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