Find the mysterious function that converts an 8 digit num to a 10 digit num


by bobthebanana
Tags: converts, digit, function, mysterious
bobthebanana
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#1
Mar10-08, 02:54 AM
P: 23
This isn't a homework question. You guys are smart so I was wondering if you could somehow figure out the mysterious function f based on a few examples:

f(26134914) = 2085386485
f(26288902) = 2085920342
f(26289423) = 2094236422
f(26356300) = 2086136115

What is "f" doing to convert that 8 digit number to a 10 digit? I'll produce more examples if needed

Thanks for the help
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HallsofIvy
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#2
Mar10-08, 05:53 AM
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Thanks
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P: 38,881
Do you understand that there exist an infinite number of functions that will give those specific numbers? And no matter how many more example you give, there always exist a infinite number of functions that will give any finite set of specific values.
Gib Z
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#3
Mar10-08, 06:00 AM
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P: 3,353
If you give us k examples, we can construct a polynomial of k+1 degree (or higher), whose coefficients will be determined by a set of k+1 simultaneous linear equations which we could solve using Gaussian Elimination. Want to try it, cuz i dont :P


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