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Distinct Value Deduction (Posted on 2014-09-14) Difficulty: 3 of 5
A function F is such that this relationship holds for all real x.

F(x) = F(398-x) = F(2158-x) = F(3214-x)

What is the maximum number of distinct values that can appear in the list F(0), F(1), F(2), ..., F(999).

No Solution Yet Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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re: Do I miss something? | Comment 2 of 7 |
(In reply to Do I miss something? by Ady TZIDON)

While I haven't worked this out, I think that there is more to it than this.

If it said F(x) = F(398-x) = F(1399-x), for instance, I think that there might only be one distinct value possible for any integer x.  The Greatest Common Divisor is going to come into play here.  

  Posted by Steve Herman on 2014-09-15 07:20:15
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