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I am not looking for contest problems where there is a clever trick or a standard approach, I am looking for more creative and open-ended problems such as this , and I am not looking for questions like this. Thanks.

(I have to admit the first problem is actually from a contest, but it feel very different from the other ones)

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Well, you could attack physics. Many problems there are in the form of "find out what happens in the following situation". Also, there is the nice fact that you can try and reproduce your results experimentally (at least in the not too advanced stuff). – Daniel Robert-Nicoud Aug 15 '13 at 22:34
@DanielRobert-Nicoud do you know a good online source of mechanics problems? I don't currently own a physics textbook – Ovi Aug 15 '13 at 22:36
I'm afraid I don't. If I find something I'll let you know, or maybe with a bit of luck someone else reading this question will have a source. – Daniel Robert-Nicoud Aug 15 '13 at 22:47
@DanielRobert-Nicoud Ok thanks – Ovi Aug 15 '13 at 22:50
I'm confused by this question. The problem you cited as "open-ended" is just a standard contest problem like the first problem you linked, and it has a fairly straightforward solution. Could you clarify what you're looking for? Do you just want harder (or Olympiad-style) contest problems? – Potato Aug 16 '13 at 8:14

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