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3

Determining a polynomial

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posted Aug 01 '12

neeldhara gravatar image neeldhara
41 1 3

updated Aug 01 '12

Let $p$ be a polnyomial with natural coefficients. An oracle can evaluate $p$ at any value you like. Can you determine all the coefficients by making two queries to the oracle?

Note: You are free to have an adaptive strategy, in that the second query can depend on the answer to the first.

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Posted: Aug 01 '12

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Last updated: Aug 02 '12